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0 - 16*x**2 - 1/504*x**8 + 0*x. Factor d(c). -2*c**4*(c + 1)/3 Let a(t) be the first derivative of 3*t**5/10 - 9*t**4/4 + 6*t**3 - 15*t**2/2 + 9*t/2 - 177. Factor a(g). 3*(g - 3)*(g - 1)**3/2 Let o = -39937 - -39939. Suppose 2/9*c**o + 0 - 10/9*c = 0. Calculate c. 0, 5 Let f(i) be the third derivative of i**7/42 + i**6/4 - 55*i**4/12 + 25*i**3/2 + 13*i**2 + 3*i. Factor f(m). 5*(m - 1)**2*(m + 3)*(m + 5) Let g(t) be the first derivative of -33 + 0*t**2 + 0*t + 1/7*t**5 - 2/21*t**3 + 3/28*t**4. Find o, given that g(o) = 0. -1, 0, 2/5 Suppose 3*o + 25 = 2*d, -3*d + 3 = -2*o - 27. Let u = 10 - d. Factor 0 + 16*z**2 - 5*z**u - 6 + 3*z**3 + 8*z + 2. (z + 2)**2*(3*z - 1) Let f(d) be the first derivative of -d**5/10 - 7*d**4/8 - 11*d**3/6 - 5*d**2/4 + 93. Let f(k) = 0. Calculate k. -5, -1, 0 Let i(o) be the third derivative of o**8/504 - 4*o**7/315 + o**6/36 - o**5/45 + 66*o**2. Factor i(p). 2*p**2*(p - 2)*(p - 1)**2/3 Factor 4/3*n**4 + 0*n + 0 - 16/3*n**2 + 0*n**3. 4*n**2*(n - 2)*(n + 2)/3 Let g be 10/(-210)*3 - 325/(-70). Factor g + 3*w + 1/2*w**2. (w + 3)**2/2 Let s(o) = 5*o**2 + 18*o + 24. Let j(z) = z**2 + z. Let m(a) = 4*j(a) - s(a). Solve m(f) = 0. -12, -2 Suppose 2 = 18*g - 17*g. Solve 310*y**3 + 8*y**2 + g*y**2 - 315*y**3 = 0. 0, 2 Let n(u) = 2*u**4 - 315*u**3 - 3504*u**2 - 6080*u - 2888. Let i(c) = -2*c**4 + 157*c**3 + 1752*c**2 + 3040*c + 1444. Let z(q) = 5*i(q) + 3*n(q). Factor z(v). -4*(v + 1)**2*(v + 19)**2 Let v(f) = f**2. Suppose 0 = z - 2 - 4. Let d(u) = 5*u**2 + 1. Let x(j) = z*v(j) - d(j). Let x(b) = 0. What is b? -1, 1 Suppose -9*a + 28 - 1 = 0. Let -20/3*l**2 + 6*l - 8/3*l**a - 10/3*l**5 - 4/3 + 8*l**4 = 0. What is l? -1, 2/5, 1 Suppose 18*n = 14*n + 12. Factor -25*p + 5*p**n + 13*p + 7*p. 5*p*(p - 1)*(p + 1) Let h = -528 - -533. Let h + 5/2*k**2 + 15/2*k = 0. Calculate k. -2, -1 Suppose -v + 2*y = -0*v - 31, 0 = -5*y - 25. Let h be 12/v*(5/(-2) + 4). Find q such that -2/7*q**2 - 2/7*q**5 + 0 + 0*q - 6/7*q**4 - h*q**3 = 0. -1, 0 Let u = -104 + 106. Factor 4*n**3 - 21*n**2 + 0*n**3 + 5*n + 0*n**u. n*(n - 5)*(4*n - 1) Suppose -6 = w + 4. Let v(h) = h**2 + 8*h - 18. Let g be v(w). What is d in 12/7*d + 2/7*d**g + 18/7 = 0? -3 Let i(c) be the second derivative of c**6/240 - c**4/16 + c**3/6 - 9*c**2/2 + 14*c. Let x(j) be the first derivative of i(j). Factor x(p). (p - 1)**2*(p + 2)/2 Let z(r) = -r + 14. Let j be z(6). Let -29 - 35 + 4*a**5 - 25*a - 100*a**2 + 20*a**4 + j*a + 177*a - 20*a**3 = 0. What is a? -4, 1 Suppose -69*z - z + 210 = 0. Let b(y) be the third derivative of -1/180*y**6 - 5*y**2 + 0 + 0*y**4 + 0*y**z + 0*y + 0*y**5 + 1/630*y**7. Factor b(t). t**3*(t - 2)/3 Let s be 15/(-6)*(6/(-5))/3. Let x be (-30)/(-10) + (1 - s). Factor 4/7*a**2 - 2/7*a**x + 0 - 2/7*a. -2*a*(a - 1)**2/7 Factor -1872/5*s - 3/5*s**3 - 2028/5 + 153/5*s**2. -3*(s - 26)**2*(s + 1)/5 Let l(q) be the first derivative of -6*q**3 + 0*q**2 - 3 + 6*q**4 - 21/5*q**5 + 0*q. Let a(x) = -x**4 + x**3 - x**2. Let w(n) = 18*a(n) - l(n). Factor w(d). 3*d**3*(d - 2) Determine f, given that -7*f + f**2 + 7*f - 3*f**2 + 2*f**5 - 2*f**3 + 2*f**4 = 0. -1, 0, 1 Let o = 23 - 21. Let f be (o/(-8)*0)/(-4). Factor -5 + 12*u - 13 + f + 0*u**2 - 2*u**2. -2*(u - 3)**2 Solve -67/2*l - 35/2*l**2 - 33/2 - 1/2*l**3 = 0 for l. -33, -1 Let v(b) be the first derivative of 3*b**2 - 1/3*b - 9*b**3 + 4. Solve v(n) = 0. 1/9 Suppose -3*h + 2*h = -1, h = -s + 13. Suppose p - s = -10. Determine g so that 28*g**5 - 7*g - 8 - 58*g**2 + 16*g**3 + 0*g**3 - 37*g + p*g**2 + 64*g**4 = 0. -1, -2/7, 1 Suppose 123 = -2*z + 3*o, 63 + 61 = -2*z + 4*o. Let g be 4/(-25)*z/24. Factor 0 - 2/5*t + 2/5*t**2 - 2/5*t**4 + g*t**3. -2*t*(t - 1)**2*(t + 1)/5 Factor 0*p + 0 + 2/5*p**5 + 0*p**2 + 512/5*p**3 + 64/5*p**4. 2*p**3*(p + 16)**2/5 Factor 0 - 24/5*d + 2/5*d**2 + 2/5*d**3. 2*d*(d - 3)*(d + 4)/5 Let o(z) be the first derivative of 7*z**4 + 148*z**3/3 - 64*z**2 - 48*z + 292. Determine l, given that o(l) = 0. -6, -2/7, 1 Let m(w) = -9*w**2 + 3468*w + 168564. Let o(y) = -2*y**2 + 696*y + 33713. Let v(h) = -5*m(h) + 24*o(h). Determine l, given that v(l) = 0. -106 Suppose -5*q + 2*o = -602, 5*o + 475 = 5*q - 115. Let f = 124 - q. Find z such that 0 - 8/5*z**f + 6/5*z - 2*z**3 + 4/5*z**4 = 0. -1, 0, 1/2, 3 Let a(l) be the first derivative of 5*l**3 - 4*l**3 + 10 - 6*l**2 + 12*l - 9 + 10. Find d, given that a(d) = 0. 2 Factor 83*s + 13*s + 108 - 9*s + 89*s + 64 + 4*s**2. 4*(s + 1)*(s + 43) Factor 178/7*a**2 + 0 + 176/7*a + 2/7*a**3. 2*a*(a + 1)*(a + 88)/7 Let s = -178/3 - -60. Let o = -1085/3 + 363. Factor s*k - 4/3*k**2 - 2/3*k**3 + o. -2*(k - 1)*(k + 1)*(k + 2)/3 Let l(p) be the third derivative of p**5/270 - 17*p**4/18 + 101*p**3/27 + 274*p**2. Factor l(g). 2*(g - 101)*(g - 1)/9 Let d(x) = 20*x - 1580. Let g be d(79). Factor g - 2/13*f**3 + 10/13*f**2 + 0*f. -2*f**2*(f - 5)/13 Suppose 13 = 5*r + b - 63, -3*r + 5*b = -40. Factor 13*k - 10*k**2 + 5*k**2 - 33*k - r. -5*(k + 1)*(k + 3) Let z = -749/3 + 2249/9. Solve -z*h**4 - 16/9*h + 0 - 88/9*h**2 - 116/9*h**3 + 14/3*h**5 = 0. -1, -2/3, -2/7, 0, 2 Let z(h) be the third derivative of -h**7/210 - h**6/10 - 3*h**5/5 - 40*h**2 - 2*h. Factor z(n). -n**2*(n + 6)**2 Determine z, given that 2 - 113/8*z - 3/2*z**3 + 199/8*z**2 = 0. 1/4, 1/3, 16 Let i(r) be the second derivative of r**7/2940 + r**6/630 + 7*r**3/6 - 10*r. Let j(d) be the second derivative of i(d). Factor j(o). 2*o**2*(o + 2)/7 Factor 27/7*i**4 + 0 + 0*i**3 + 0*i**2 + 0*i - 3/7*i**5. -3*i**4*(i - 9)/7 Suppose 0 = r - 2. Factor 22*c**r + 2*c - 10*c**2 - 11*c**2 + 1. (c + 1)**2 Suppose 13 = -2*v + 37. Factor -v + 2*f**4 + 4*f**3 + 12 - 2*f**5. -2*f**3*(f - 2)*(f + 1) Let g = -1422 - -1422. Let i(b) be the third derivative of 5/144*b**4 + g + 2*b**2 + 1/18*b**3 + 1/80*b**6 - 2/45*b**5 + 0*b. What is n in i(n) = 0? -2/9, 1 Let y(a) be the second derivative of -a**6/75 - 3*a**5/50 - a**4/15 + 13*a - 4. Find n, given that y(n) = 0. -2, -1, 0 Let t(n) be the second derivative of n**6/90 - n**5/5 + 3*n**4/2 - 13*n**3/6 + 5*n. Let i(z) be the second derivative of t(z). Factor i(q). 4*(q - 3)**2 Suppose -3*h + h + 4 = 0. Factor 7*z**2 + 11*z - 3*z + z**h + 2*z**5 - 4*z**4 - 6*z**3. 2*z*(z - 2)**2*(z + 1)**2 Let s be 2/(-8)*7/(-147)*0. Suppose 2/3*v**3 + 0*v + 0*v**4 + s - 4/9*v**2 - 2/9*v**5 = 0. Calculate v. -2, 0, 1 Let c(t) = t**4 + t**3 - t**2 + t - 1. Let f(q) = -5*q**4 + q**3 + 3*q**2 - 25*q + 22. Let o be (-2)/(0 - (-4)/(-6)). Let a(b) = o*f(b) + 12*c(b). Factor a(j). -3*(j - 3)**2*(j - 1)*(j + 2) Let c be 2/4 - 2/4. Find v, given that v + 5*v**2 - v**3 - 1 - 7*v**2 + c + 3 = 0. -2, -1, 1 Suppose 0 = c - 3*b - 12, 2*b = -4*c + 5*c - 13. Determine s so that 6*s**4 - 2*s**4 + c*s**3 + 8*s**2 - 3*s**3 = 0. -2, -1, 0 Let s = 26 + -22. Let a(z) = -9*z**4 + 13*z**3 + 12*z**2 - 16*z - 21. Let q(l) = 4*l**4 - 6*l**3 - 6*l**2 + 8*l + 10. Let f(j) = s*a(j) + 10*q(j). Factor f(g). 4*(g - 2)**2*(g + 1)**2 Let p = 6267/40 - 470/3. Let c(s) be the second derivative of -1/252*s**7 + 0*s**3 + 0*s**2 + 0*s**6 + p*s**5 + 0 + 0*s**4 - 7*s. Suppose c(v) = 0. Calculate v. -1, 0, 1 Let y(j) be the third derivative of -j**8/168 + 2*j**7/105 + j**6/60 - j**5/15 + 15*j**2 - j. Find p such that y(p) = 0. -1, 0, 1, 2 Let w be 10/24 - (-7)/(-28). Let k be (-24)/(-2) + 920/(-92). Find o such that 1/6 + 1/3*o + w*o**k = 0. -1 Find o, given that -40*o + 104*o**3 + 12*o**2 + 583 + 60*o**4 - 583 + 8*o**5 = 0. -5, -2, -1, 0, 1/2 Let t(p) be the third derivative of -1/360*p**5 + 22*p**2 + 0*p + 0 + 7/144*p**4 - 1/6*p**3. Find i, given that t(i) = 0. 1, 6 Let z(s) be the third derivative of s**5/210 - 31*s**4/42 + 961*s**3/21 - 2*s**2 + 32*s. Factor z(d). 2*(d - 31)**2/7 Let n(c) be the third derivative of -1/84*c**4 + 0*c - 45*c**2 - 2/735*c**7 + 0 + 0*c**6 + 0*c**3 + 1/105*c**5 + 1/1176*c**8. Factor n(d). 2*d*(d - 1)**3*(d + 1)/7 Factor -1 + 1/6*n**2 + 1/6*n. (n - 2)*(n + 3)/6 Let o(n) be the second derivative of 2*n**5 + 13*n**4 + 2 + 58/3*n**3 - 17*n + 12*n**2. Factor o(b). 4*(b + 3)*(2*b + 1)*(5*b + 2) Let d = -16625 - -16625. Determine c, given that 1/6*c**2 - 1/6*c + d = 0. 0, 1 Let y(j) be the third derivative of -j**5/12 - 25*j**4/6 - 125*j**3/2 + 5*j**2 - 52*j. Factor y(m). -5*(m + 5)*(m + 15) Let -3/5*y**4 - 9/10*y**3 + 7/5*y**2 + 0*
{ "pile_set_name": "DM Mathematics" }
to 7 in -1/3, 0.2, 3, y? 3 Let h = -1.4679 - -0.9679. What is the nearest to -947 in 4, h, 2? h Let q = 1 - 0.7. Let d be ((-8)/(-30))/(6/9)*11/(-33). Which is the nearest to -1? (a) d (b) -2/13 (c) q b Let z be (1/(-3))/((-54)/(-810)). Let d = 35.2 - 35. What is the nearest to 1 in z, 4/3, d? 4/3 Let p = -11 + 20. Let t = 27 - p. Let k = t - 19. What is the closest to -5/4 in 3, -2, k? k Let g = -0.03576 + -0.06424. Which is the closest to g? (a) 2/5 (b) 2 (c) -4.9 a Let n(z) = z**2 - 9*z + 18. Let a be n(5). Let y = 0.5 + -1.72. Let i = 0.92 + y. What is the nearest to 1 in a, -0.2, i? -0.2 Let m = -5660 - -5659. Which is the closest to -71? (a) -2/19 (b) -2/7 (c) m (d) -0.2 c Let x = 29.06 + -28.06. What is the closest to -7 in x, -1, 6? -1 Let q = 623 + -623.339. Let z = q - -0.239. What is the closest to 0 in -1/2, z, 2? z Let u = -2416 + 2417. What is the closest to 0 in -0.5, -1102, 3, u? -0.5 Let o = 20436/71575 + 2/10225. Which is the closest to 0? (a) 1/3 (b) -25 (c) o c Let x = 263.57 - 263.57. What is the nearest to -0.2 in -3, -1, x, 10? x Let t = 85 - 83. Let c = -209 - -111. Let v = 98.5 + c. What is the nearest to t in 0.3, 3, v? 3 Let w be (-3)/(4/(-16)*-66). Let i = -102 - -15. Let h = 87 + i. Which is the nearest to h? (a) 3 (b) w (c) -7 b Let j = 163.79 - 163.79. Which is the closest to 12? (a) j (b) 52 (c) 0.2 c Suppose 0 = -4*n + 24 + 56. Let r be (1 - (-10)/(-8))*(-16)/n. What is the nearest to -0.03 in 2/3, r, 0.1? 0.1 Let p = -3411.7 - -3412. What is the nearest to 10 in 4, p, -1/13, 3? 4 Let d = -5.0609244 - -0.0609244. Let m = 8 + -5. Let f = -0.3 + -1.7. Which is the nearest to f? (a) -4/3 (b) d (c) m a Let l(y) = 7*y + 67. Let r be l(-9). Let f = 1.43 - 0.93. Which is the nearest to 5? (a) r (b) 5 (c) 4/9 (d) f b Let d = -106.89 + 103.89. Which is the nearest to 0.07? (a) -1 (b) d (c) -5 a Let h = -633.7 + 633.3. Which is the closest to -1/2? (a) -18.9 (b) 0 (c) h (d) -0.2 c Suppose 3*c = -3*c - 6. Let j be (c*3)/(6/6). Let f = -5.5 + 5.2. What is the closest to 0.2 in j, -2, f? f Let y = 2040 + -2040. What is the nearest to 1 in -0.3, 5, y? y Let p = -304/3 + 101. Let k be 1/(-2) + 0 + -2. What is the nearest to p in 1, -0.02, k? -0.02 Let v = 61 + -365/6. Let l(s) = -s**3 + 8*s**2 + s + 30. Let y be l(9). Let w be 4/3*-2 + 56/y. Which is the nearest to w? (a) -5 (b) v (c) -4 c Let b be (-4)/18*(116 + -128) + -2*1. What is the closest to -1/3 in -1, -0.437, b? -0.437 Let t = 7 + -5. Let m(j) = -9*j**2 + 15*j**2 - 7*j**2 + 15 + 14 + 6*j. Let r be m(-3). Which is the closest to t? (a) -1/4 (b) -2 (c) r c Let z = -104.267 - 0.733. Let d = 104.56 + z. Which is the nearest to -2? (a) d (b) -3 (c) -2/19 b Let q = -1.0973 - -1.7973. What is the nearest to q in -3/4, -20, 4, 2/9? 2/9 Let c = -35 - -35. Suppose c = -32*d + 11*d - 63. Let h = 0.7 - -0.3. What is the nearest to -2 in d, 0, h? d Let g be (-6)/8*(-3340)/(-2004). Suppose 4*m = 2*x + 2, 0 = 5*x - m + 5*m - 23. Let d = 0.5 - 1. What is the nearest to x in g, 0.5, d? 0.5 Suppose 4*h - 2*x - 14 = 0, 21*h - 25*h = x - 23. Let q be 2/(-1) + 15/h. What is the closest to -2 in 3, 0, q? 0 Let r = 0.04 + 3.96. Let x = -402.8 - -402.71. Which is the nearest to x? (a) 1 (b) r (c) 4/7 c Let s = -103 + 301/3. Let b = s + 3. Let t = -184 + 186. What is the nearest to -1 in t, 1, b? b Let v be ((-4)/(-35))/((-30)/20*4/75). What is the nearest to -12 in 5, -1, v, 4? v Let l = -173855/4 + 43038. Let v = -425 - l. Which is the closest to -1? (a) 1/8 (b) -4 (c) 0 (d) v c Let i be (-329)/728 - (-15)/195. Which is the closest to -0.2? (a) 5 (b) i (c) -3/121 (d) -0.4 b Suppose 2*y - 6 = 0, 2*j + 3*y = 2*y + 65. Suppose -3*o - m = -17, 2*m + m - j = -5*o. Suppose -6*f - o = -f. What is the nearest to f in -7/4, -4/5, 0.1? -4/5 Let k = -39 + 39.02. Let n = -37/35 + 411/455. Let x = 3 - 0. Which is the closest to -3? (a) k (b) x (c) n c Let x = 30074 - 30070. What is the closest to 0.1 in 3/8, x, -5/3, 11/144? 11/144 Let g be ((-26)/(-39))/(4/30). Let m be (18/(-20))/(15048/6270). Which is the closest to 2? (a) g (b) m (c) -3 (d) 9 b Let d(k) = -k**2 - 31*k + 30. Let s be d(-53). Let v = -1128 - s. Let g = -247 + 2225/9. Which is the closest to 0.2? (a) g (b) -3 (c) v a Let j be (294/112)/21*(-8)/(-3). What is the nearest to 2 in 4, j, 2/21, 0.5? 0.5 Let x = -1.1 - 0.9. Let z = -343649/7 + 48999. Let o = z + 94. What is the closest to o in 3, -1, x? -1 Let y = 4 - 4. Let i = 161 + -71. Let u = -89.9 + i. Which is the nearest to u? (a) -3 (b) y (c) 0.5 b Let f = 2595/2 - 1298. Which is the closest to f? (a) -3 (b) 3 (c) -60 a Let q = 0.37185 + 0.02815. What is the closest to 9 in 1/3, q, 2, 0? 2 Let h(r) = -r**2 - 9*r - 2. Let o be h(-6). Suppose -g + 5*g = o. Let f = -18.372 - -19.372. Which is the closest to g? (a) f (b) -0.4 (c) -1/6 a Suppose 6*y - 124 = -724. Let i = 99 + y. Let g = -8 + 7. Which is the nearest to g? (a) i (b) -2 (c) 3 a Let p be ((-9)/5)/(22/(-3) - -7). Let s = 167/30 - p. Let u = -2/113 - -244/1017. What is the closest to s in -1/5, -1/8, u? u Let m = -9/2 - -85/18. Let j = 5308.8 - 5327.8. Which is the closest to m? (a) -2/9 (b) 3 (c) j a Let u = -1044 + -248. Let c = u + 1207.1. Let i = 85 + c. What is the closest to i in 11, -0.1, 0? 0 Let g = 9.6447 + 488.3253. Let w = g - 498. Let p be 1/(-4) - (-18)/(-8). Which is the nearest to w? (a) -1/4 (b) p (c) 0.2 a Let q = 2805 + -2806. What is the closest to 24 in 0.06, q, -1/4, 5? 5 Let q = 197 + -193. Suppose 3*w - j = 47, -2*w - w + 2*j + 52 = 0. Which is the closest to w? (a) -2 (b) q (c) -4/5 b Let m = 253 - 356. Let u = m - -107. Which is the nearest to 75? (a) 0.1 (b) -1 (c) u c Let k = 6 - 5.69. Let h = -0.69 - k. What is the nearest to h in 2, -0.055, 0.3? -0.055 Let w = -146.46 - 3.54. Let n = -91 - w. Let r = 59.1 - n. Which is the closest to r? (a) 1 (b) 3/7 (c) -1/13 c Let k = -9442 - -9445. What is the closest to -0.15 in -2/5, 0.5, k? -2/5 Let y be ((-48)/(-18))/((-8)/(-36)). Let x be 3/(-2)*y/45. What is the nearest to 1 in x, 1, 6? 1 Let s = 0.4 + 1.6. Suppose 0 = -24*z + 15*z + 54. Let g be z*(-4)/8*-1. Which is the closest to s? (a) g (b) 0 (c) 0.5 a Let n be 1/1*-2*-2. Let q = 331 + -2645/8. Let l = -28.9 - -29. Which is the closest to l? (a) -0.1 (b) n (c) q a Suppose 3*j = -4*d + 4, 5*d - 70 = 5*j - 30. Which is the closest to -2? (a) -1/7 (b) j (c) 0.069 a Let r = 4573.7 - 4923. Let x = -349 - r. What is the closest to 0.1 in x, -0.4, -0.5? x Let w = -140.3 + 136.3. Which is the nearest to 0.1? (a) w (b) -118 (c) -2 c Let q = -149917 - -1352014/9. Let i = q + -307. Let y = -3.3 + 3. Which is the nearest to i? (a) 6/11 (b) y (c) -0.2 c Let g be (-1)/5 + (-2)/(-5). Suppose -2*v + 3*z - 8 = 0, -796*z + 799*z = 3*v - 9. Which is the closest to v? (a) -4 (b) g (c) -2 b Let w = 13 + -11.2. Let z = w - 19.8. Let n = 17.9 + z. Which is the closest to n? (a) 2 (b) 4 (c) -2/9 c Let s be (-22)/11 + -101 + -2. Let t be (-54)/(-30) + -2 + (-156)/s. Let k = -8 - -13. Which is the closest to 0? (a) t (b) -0.4 (c) k b Suppose -29*x + 4021 - 989 = -408*x. Which is the closest to 329? (a) 0.3 (b) 5 (c) x b Let f = 1529 - 1526. Suppose -53*q = -48*q + 20. Which is the closest to -1? (a) 0.02 (b) q (c) f a Suppose 14*d + 4*x = 12*d, -4*x = -2*d. Which is the closest to -27? (a) 3 (b) 2 (c) d c Let o = -9784 + 9792.946. Let y = -0.054 - o. Which is the closest to -1? (a) -5 (b) y (c) -3/10 c Let y(t) = -28*t - 8 + 22*t + 68. Let m be y(11). Let v be (-27)/m*2/(-6). What is the closest to -0.1 in 9, 1, v? 1 Let w = -4229/133998 - -5/1942. Which is the closest to -1/4? (a) w (b) 11 (c) -2/5 (d) -5 c Let m = -3735 + 3705. What is the nearest to -2 in 4/3, m, 0.1, 5? 0.1 Let q = -0.28 + -0.12. Let y = 51.4 - -1.6. Let t = y + -48. Which is the closest to -0.04? (a) t (b) 2 (c) q c Let c = -2.9 - 1.1. Let d = -71140.8 + 71141. Let v(s) = s**2 - 7*s + 3. Let u be v(7). What is the nearest to d in 0.4, u, c? 0.4 Let o = -13.67 + 15.87. Let p = -159/2 - -80. Which is the closest to 0? (a) o (b) p (c) 3/4 b Let t = 5/14811 - 14831/59244. Let n = 3.2 + -0.2. Let f = -10 - -5. What is
{ "pile_set_name": "DM Mathematics" }
, -3/155, -1/2, 0.5, 24, 0? 0.5 What is the nearest to -2/7 in 28, 2, 0.2, -3/5, -6514? -3/5 What is the closest to 1/5 in -68, 1091, -2/17? -2/17 Which is the closest to 0? (a) 1/355 (b) -2/15 (c) -1/4712 c What is the closest to -1 in 0, 102, -0.2, 464? -0.2 What is the closest to -0.1 in 2/7, 1/5, -1/3, 194? -1/3 What is the closest to -2 in -3/4, -3, -5, 25/29, 122? -3 Which is the nearest to 1/4? (a) 107939 (b) 11 (c) 0 c What is the closest to -1.1 in 4, -19/7, 0.05554? 0.05554 Which is the nearest to -2/19? (a) -116/7 (b) 2 (c) 1898 b Which is the nearest to -0.3? (a) -0.3 (b) -0.4 (c) 122052 (d) 0 a Which is the closest to 217? (a) -87/529 (b) -0.5 (c) 0.4 c What is the nearest to 1 in 17, -3705, 0.1, -2/5, -1? 0.1 What is the nearest to 9227 in -11, -2, 0.07, 2, 1.8? 2 What is the closest to -229 in 1/6, -1, -0.5, 4, 7? -1 What is the closest to -2 in 642/11, -0.1, 102, 3, -0.3, 5? -0.3 Which is the nearest to 1/29? (a) -4 (b) 0.6 (c) -1941 (d) 3/4 b Which is the closest to 4/15? (a) 4 (b) 1/327 (c) 0.1 (d) -3 (e) 0.4 e Which is the closest to 0.003? (a) -31 (b) 0.3 (c) -96 (d) -3 b Which is the closest to -1/40? (a) 1/3 (b) -4/3 (c) -7.9 (d) -0.07 d What is the nearest to 41 in -1/9, -4/7, -0.16153? -1/9 Which is the closest to 2776? (a) 0.3 (b) -3.9 (c) 2/19 a Which is the nearest to -38? (a) -24 (b) 37 (c) 1/55 a What is the nearest to 111 in -82, 5, 3/7, -0.1? 5 What is the nearest to 1 in 0.1, 0.09, 1/3, 0.15, 3.154, -1? 1/3 What is the closest to 1/2 in -0.01, -0.01191, -10? -0.01 Which is the closest to 279? (a) 0.7 (b) -1 (c) 291 c Which is the closest to 1/6? (a) -2 (b) 0.23 (c) 2/3 (d) 2/7 (e) -177 (f) -0.3 b What is the closest to 0 in 0.1, -2, 1988, -0.2, -2/91? -2/91 Which is the closest to -0.113? (a) -327 (b) 0.4 (c) 4 (d) 206 b Which is the closest to -2? (a) 12/131 (b) 5 (c) 1/4 (d) 1 (e) -0.1278 e Which is the nearest to -9? (a) 10138 (b) 0.6 (c) -0.3 c Which is the nearest to -2/15? (a) -5 (b) -354 (c) -6 (d) -4483 a What is the nearest to 0.3 in -6/11, 1, -5/2242? -5/2242 Which is the nearest to -31667/52? (a) -2/3 (b) 2 (c) 0 a Which is the nearest to 0.026? (a) 10057/6 (b) 5 (c) -1 (d) 0.7 d What is the closest to -106 in 97, -3/5, -5? -5 What is the nearest to -12/61 in 0.5, -0.5, 18, 225? -0.5 Which is the nearest to -2? (a) 11 (b) 0.2 (c) 1 (d) -397.1 (e) 4 b What is the nearest to 2 in 8/13, -1/6, -0.1, -3/10, -1? 8/13 What is the nearest to -4 in 5, 28, 100, -3/7, 0.2? -3/7 What is the closest to 1 in 1/7, 1/131681, -5, 4? 1/7 What is the nearest to 5 in 3, 0.7, 0.2, 0.06, 1.762? 3 Which is the closest to 1? (a) 4 (b) -4/7 (c) -33 (d) -493 (e) 2.616 b Which is the nearest to -0.1? (a) 0 (b) -8011 (c) -3 (d) -2/15 (e) 6 (f) -2/65 d What is the nearest to 83 in 4, -174, 0.04, -2? 4 What is the closest to -0.2 in -8, 93, -13, 0.4, 0.3? 0.3 Which is the closest to -372/743? (a) 2/15 (b) -3/2 (c) -3 a What is the closest to 0.18 in 2, 0.67, 4/2379? 4/2379 What is the nearest to -0.1 in 3, -0.0819, -2/5, 512? -0.0819 What is the closest to 1/2 in -24, 4/3, 4/7, 0.1083? 4/7 Which is the nearest to -2/3? (a) -0.2284 (b) -433 (c) -3 a What is the closest to 0 in -4, -5, 38, -84, 34, 2? 2 What is the closest to -2/9 in 1, 112/5, 3, -3, -0.2, 20? -0.2 What is the nearest to 16/5 in -496, 0.5, -0.1, -2, -10? 0.5 What is the nearest to 2/55 in -166, 0, -0.03, 2/287? 2/287 What is the nearest to -226 in 0, 3/2, -1/3, 1/4, -3, 0.0118? -3 Which is the nearest to -3? (a) -1/4 (b) -5 (c) 0.047 (d) 2.311 b What is the closest to -8/18757 in -0.1, -6, 3, -4? -0.1 Which is the closest to -451? (a) 1/3 (b) 15889 (c) 4 (d) 1 a Which is the nearest to -3? (a) 5 (b) -3/2 (c) 1/4 (d) 7 (e) 0 b What is the nearest to -14 in -205, -5/7, 11? -5/7 What is the closest to 0 in -0.056, 101, 0.5, -0.1, 10? -0.056 Which is the closest to 0.13? (a) 725 (b) -2/15 (c) 0.4 (d) -4 b Which is the nearest to 2? (a) -1/5 (b) 3 (c) -30/13 (d) -0.5 (e) -5/172 b Which is the nearest to -2588? (a) 24 (b) 3/8 (c) 2 (d) -4/3 d What is the closest to -0.9519 in 1/13, 3/5, -12.1? 1/13 Which is the closest to 0? (a) 1.32 (b) -3037 (c) 6 (d) 4 a Which is the nearest to -32? (a) 12.61 (b) -60 (c) -0.3 b What is the closest to 2/5 in 3/8, -22, 29, 2/15, 2/7, -2/19? 3/8 Which is the closest to -1/4? (a) 0.08 (b) -13/7 (c) -4/9 (d) -0.4 (e) 4/143 d Which is the closest to -0.1? (a) 1/6 (b) 2 (c) -75 (d) -20/9 a What is the nearest to 2 in -27/24889, -5, 0, 2? 2 Which is the nearest to -27? (a) 0.4 (b) 0.5 (c) 2.07 (d) 3/5 (e) -5/2 e Which is the closest to -31/4? (a) 0.8 (b) -9 (c) -1/3 (d) 0.5 (e) 1/30 (f) 4/7 b Which is the closest to -0.233? (a) 0 (b) -10 (c) 0.2 (d) 4/19 (e) 5 (f) -4 a What is the closest to 1042 in 22/9, 17/2, 0.8, 5? 17/2 Which is the closest to 2? (a) -4.36 (b) -8 (c) -691 a Which is the nearest to -35? (a) -77 (b) 4 (c) -1.1 (d) 6 (e) 0.137 c Which is the nearest to -36.12? (a) 0.069 (b) -2/3 (c) 0.5 (d) 0.2 (e) 0.1 (f) 6/7 b What is the closest to 5 in 13, 2.7, 11, 5? 5 Which is the closest to -26? (a) 5 (b) 3/2 (c) 0.4 (d) 0.161159 (e) -2 e Which is the closest to -3/7? (a) -2/11 (b) -2/7 (c) -934 (d) -5 (e) 6/19 b Which is the nearest to -1.3? (a) 0 (b) 4 (c) 0.0981 (d) 0.7 a What is the closest to 2/17 in -20, 882, -0.227? -0.227 What is the closest to -0.11 in 1722, -22/7, -4, 1? 1 What is the nearest to -3/11 in -0.7, -102/7, -3, -5, 4? -0.7 What is the closest to 1.1 in 2/13, 1, -1, -73.06? 1 What is the closest to -1 in 1/7, -4, 16, 0.0749, -0.87? -0.87 What is the closest to -1 in -2115/8, 32, 2/5? 2/5 Which is the closest to 2/7? (a) 1 (b) 0.315 (c) -401 (d) 54 b What is the closest to 1/4 in -29, -1/10, 669/5, -4? -1/10 Which is the nearest to 0.04? (a) -138 (b) -6 (c) -15/4 (d) 4 (e) -3/5 e Which is the nearest to -1? (a) -1/2 (b) 0.042 (c) -2/9 (d) 92 (e) 0 a Which is the nearest to -41? (a) -0.13 (b) 0 (c) 106 (d) -2 (e) -5 e Which is the closest to -0.2? (a) 0.8 (b) -3 (c) 3 (d) -1041 a What is the nearest to 3589 in -1, 1/587, 3? 3 Which is the nearest to -14? (a) -4 (b) -5 (c) -163/2 (d) -1/8 (e) 165 b Which is the nearest to -0.1? (a) -2 (b) -1694 (c) -13431 a Which is the closest to 1000? (a) 0.3 (b) -4/9 (c) -0.4 (d) -136 a What is the closest to 992 in -4, -2/5, -2/19? -2/19 Which is the nearest to 1.415? (a) 144 (b) 0.4 (c) 3 (d) -4 (e) -0.2 b Which is the closest to 12? (a) 1.6 (b) 3 (c) 3/8 (d) 903 (e) -1/2 b Which is the nearest to 13? (a) 3/2 (b) -28 (c) 1/3 (d) 0 (e) 3/49 (f) 2 f What is the nearest to -1.754 in 5, -34, 1/6, 2? 1/6 What is the closest to -322.59 in 0.2, 3.1, 5, 4? 0.2 What is the closest to 1/2 in 0.2, 2/3, -84.4, 26925? 2/3 What is the nearest to 2 in 0.5, -0.5, 3/5, 2/7, 351053? 3/5 What is the closest to 1 in -1/2, 2/9, -1.3, 33, 5257? 2/9 What is the closest to 2/3 in 0.186, -7, 3, -2/7, -1/46? 0.186 Which is the nearest to -16? (a) -251 (b) -0.1 (c) -18 (d) -5 (e) -1 c What is the nearest to -2 in -3, -64, 0.5, 0.4, 2/71? -3 What is the closest to 11.6 in 2, -474, -5? 2 Which is the nearest to -5/3? (a) 0.3 (b) -1/10 (c) -808 b What is the closest to -1/8 in -2/25, -2/7, 1917, -1/10, 3/7? -1/10 What is the nearest to 2/3 in -4, -6.5839, 4/5? 4/5 What is the closest to 0 in 9, -0.06, 41859, 1/6? -0.06 What is the nearest to -2 in 17, -148, -12, 4? 4 What is the closest to 2 in 4, -2.8, 5, 0.482? 0.482 What is the closest to 56 in 0.5, 1, -16120, -2, 5, 3? 5 What is the closest to 0.1 in -1/3, -978/5, 5, 53? -1/3 Which is the closest to -902? (a) -0.12 (b) -2/25 (c) 5 (d) 4 a What is the nearest to 3 in 875, -7, 1/2, -9.7? 1/2 What is the nearest to 1 in -2/635, 3, 1, 5, 4/5, -19? 1 Which is the nearest to -0.348? (a) 0.5 (b) 3/8 (c) 287 b What is the closest to -8 in 1/13, 1, -33776, -1/6? -1/6 Which is the nearest to -0.042? (a) -2 (b) 1.4 (c) 1.2 (d) -3 (e) -29 c Which is the closest to -2? (a) -5 (b) -4.4 (c) 1/8136 c What is the nearest to -1/2 in 132, -12, -4, -3/2, -3/68? -3/68 What is the closest to -37 in -382, -0.151, 2/3? -0.151
{ "pile_set_name": "DM Mathematics" }
+ (1 - 3 + 3)*(-2 + 2 + 2*w) + w + 0*w + 4*w. 9*w Expand (2 + z - 2 + (-8*z + 0*z + 0*z)*(2 + 0 - 1) + (2 + 0 - 3)*(3 - 3 - z))*(-3*z**2 + 0*z**2 + 0*z**2). 18*z**3 Expand -c + 0*c - c - 20*c + 41 - 41 + 2*c - 2*c + c + (-2*c + c + 0*c)*(2 + 0 - 3) + 3*c - 2*c + c. -18*c Expand (-3*u**2 + u**2 + 7*u**2)*((-3*u + 1 - 1)*(-1 - 3 + 2) + 4*u - u - 2*u). 35*u**3 Expand (27 - 60 + 19*c + 32)*(-2*c + 2*c + c). 19*c**2 - c Expand -4*y**4 - y**4 + 2*y**4 + 8*y**4 + 2587*y**3 - 2587*y**3 + (-1 + 2*y + 1)*(-2*y**3 + 0*y**3 + 4*y**3) - 3 - 2*y**4 + 3. 7*y**4 Expand (x - 4*x + x)*(94 - 94 + 28*x). -56*x**2 Expand (-u + u + u)*(38 - 17 + 43)*(-1 + 1 - u**4). -64*u**5 Expand (0 + 0 + 5*f)*(f - 4*f + f)*(4*f - f - 2*f) + (-2*f + 5 - 5)*(29*f + 2*f**2 - 29*f). -14*f**3 Expand ((1 + 2 - 5)*(-7 + 5 - 1) - 1 - 3 + 5 + 0 - 2 + 0)*(-5*i**4 - i**4 + 3*i**4). -15*i**4 Expand (-2 - 2 - 1)*(z**4 - 2*z**2 + 2*z**2 + 2*z**4 - z**4 + z**4 + (-3 + 3 - 2*z**3)*(z + 0*z + z) - 3*z**4 + z**4 - 2*z**4). 25*z**4 Expand (-2*o**3 - 3*o**3 + 7*o**3)*(6 + 172*o - 4 - 177*o). -10*o**4 + 4*o**3 Expand -99*d + 99*d - 12*d**3 + (2*d - 2*d + 7*d**2)*(-4*d + 2*d + 4*d) + 4*d - 4*d + 2*d**3. 4*d**3 Expand (3*j**2 - 3*j**2 - 2*j**2)*(3*j - 5*j + 3*j + (1 - 5 + 3)*(-2 - j + 2) + 5 - 5 + 2*j - 205 + 26*j + 205 + (6*j + 0*j - 4*j)*(0 - 4 + 5)). -64*j**3 Expand (25*j - 18*j - 10*j)*(-j + 4*j - 2*j) - 18*j - 14*j**2 + 18*j + (j - j + j)*(6*j - 4*j + 0*j) + j**2 - 2*j + 2*j + j**2 - j**2 + j**2. -13*j**2 Expand ((0 - 1 + 0)*(m - m - 2*m) + 5 + m - 5)*(34*m**4 - 2*m + 7*m**4 - 17*m**4 - 5). 72*m**5 - 6*m**2 - 15*m Expand (2 - 3 - 2)*(-28 + 27*i + 28) + i - 2*i + 0*i + (1 + 2 - 4)*(0*i - 4*i + 5*i) + 3*i - 6*i + 2*i. -84*i Expand (3 - 3 + 2)*(-p**2 + 0*p**2 + 0*p**2) + (-76*p + 21*p - 61*p)*(0*p + 0*p + 2*p) - 1 + 1 - p**2. -235*p**2 Expand (-166*g**2 + 81*g**2 + 91*g**2)*(-4*g**3 + 1 - g**3 + 3*g**3). -12*g**5 + 6*g**2 Expand (1 + 1 + 0)*(-3 + 6 + 1)*(-14*s**4 + 412 - 412). -112*s**4 Expand ((-1 + 1 - 1)*(6 + 7 - 5)*(-3 + 2 - 3) + (0 + 0 + 2)*(0 + 2 - 4))*(-12*o - 21*o**2 + 12*o). -588*o**2 Expand (5*x + 0*x + 3*x)*(-2*x + 26 - 26) + (-2*x - 2 + 2)*(2*x + 1 - 1) - 2*x**2 + 4*x - 4*x. -22*x**2 Expand (3*z**2 - 3*z + 3*z)*(-z + 2*z + 2*z) + (-z + z - 2*z**3)*(-2 + 1 - 1). 13*z**3 Expand -3*s + s + s + (5*s - 4*s + s)*(-52 - 10 - 71). -267*s Expand (-3*d - 2 + 2)*(2*d - 2*d**3 - 2*d) - 121*d**4 - 44*d**4 - 21*d**4. -180*d**4 Expand (-2 + 3 + 1)*(-48*w**5 + 18*w**5 - 51*w**5) - 5*w**3 - 4*w**5 + 5*w**3. -166*w**5 Expand (2*o**3 + 2*o**3 + 5*o**3)*((-64*o - 22*o - 2 - 41*o)*(-o + 0 + 0) + o**2 + 4*o - 4*o). 1152*o**5 + 18*o**4 Expand -35 + 26*h + 35 + (1 - 3 + 1)*(-h + 4 - 4) + 2 - 2 + h + h + 0*h + h. 30*h Expand (59 + 73 - 53)*(4 + 3*c - 4)*(-c - c + 3*c)*(0*c**2 + 4*c**2 - 2*c**2). 474*c**4 Expand (-3*g + 4*g + g)*(0*g**2 - 2*g**2 + g**2) + (-3*g**2 + g**2 + 0*g**2)*(-30*g + 2*g - g) - g**3 + 4*g - 4*g. 55*g**3 Expand (0*p - p - 4*p)*(101 - 101 + 58*p**2 + (-4*p - 3*p + 5*p)*(3*p - 2*p + 0*p) + p - 2*p**2 - p - 5*p**2 + 3*p**2 + 3*p**2). -275*p**3 Expand 63 - 2*c**2 - 63 + (1 + 3 - 2)*(-2*c**2 - c**2 + 2*c**2) + c**2 - 3*c**2 + 0*c**2. -6*c**2 Expand (f - 2*f + 2*f)*(-1 + 4 + 9). 12*f Expand (38 + 29 - 46)*(b - 2*b + 0*b - 1 + 1 - 2*b - 3*b - b + 3*b + (-b + 1 - 1)*(2 - 2 + 1) + 2*b - 2 + 2). -63*b Expand (0*z**2 - z**3 + 0*z**2)*(-z + 1 - 1 + (z - z + z)*(-2 - 3 + 1)) + 5*z - 5*z - 4*z**4. z**4 Expand 356*o - 176*o - 177*o + 18 + (1 + 3 - 6)*(o + 0 + 0). o + 18 Expand (g - 4*g + 0*g)*(-23 + 5 - 5 - 8). 93*g Expand (6 + 2 - 2)*(-c + 2*c + 3*c)*(18 - 28 + 32). 528*c Expand (2 + 4 - 5)*(15453 - 15453 - 142*g**4). -142*g**4 Expand 2*m**2 + 29 - 27 + 7*m**4 - m + 3*m + (2 + 1 - 1)*(m**4 - 2*m**4 + 2*m**4). 9*m**4 + 2*m**2 + 2*m + 2 Expand (7*l + 38 - 38)*(2 - 6 + 2)*(-l**2 + 2*l**2 + l**2). -28*l**3 Expand -n**2 + 0*n**2 - n**2 + (2*n + 0*n - n)*(-308*n + 9154 - 9154). -310*n**2 Expand ((3*c**2 - 2*c**2 - 2*c**2)*(1 + 0 - 2) + 3 - 2*c**2 - 3)*(19*c + 9*c**2 + 26*c - 46*c). -9*c**4 + c**3 Expand ((0 - 3 + 2)*(2 + 1 - 2) - 2 - 1 - 2)*(-g + 0*g - 3*g). 24*g Expand (10*x - 3*x + 6*x)*(-4 + 6 - 4)*(2*x - 4*x - x). 78*x**2 Expand 0*n**5 + 4*n**5 - 2*n**5 + 9*n**3 + 316*n**2 - 316*n**2 + 5*n**5 + (-4 - n + 4)*(3*n**3 - 3*n**3 + 3*n**4). 4*n**5 + 9*n**3 Expand (-5 + 5*v + 5)*(11*v - 5*v - 24*v). -90*v**2 Expand (20 - 36 + 25)*(2 + 6*l - l**3 - 1 - 7*l). -9*l**3 - 9*l + 9 Expand 3*p - 3*p - p**2 + (-2*p - 2*p + 7*p)*(-2*p + 3*p - 5*p) + p**2 + 4*p**2 + p**2. -7*p**2 Expand (6 - 4 - 3)*(5*d - 3*d + 2*d)*(6 + 8 - 6)*(4 - 5 + 7). -192*d Expand (52992 + 18*k**3 - 52992)*(2*k**2 - 3*k**2 + 2*k**2). 18*k**5 Expand 0 + 0 - i**4 + 2*i + (-5*i**3 + 2*i**3 + 6*i**3)*(3*i - 2*i + 3*i)*(-6 - 7 + 9). -49*i**4 + 2*i Expand (5*a - 2*a - a)*(a**2 - a**2 - 2*a**2) - a**3 - a**3 + a**3 - a**3 + 2*a - 2*a + (-1 + 5 - 2)*(a - a + a**3) + 17*a**2 - 17*a**2 + 6*a**3. 2*a**3 Expand (-1 + 4 + 0)*(3 - 2 + 1)*(-158*a + 20*a**4 - 79*a**4 + 159*a). -354*a**4 + 6*a Expand (-66*i**2 - 26 + 35*i**2 + 33*i**2)*(-3*i + 6*i - 2*i). 2*i**3 - 26*i Expand (-j + j + j**4)*(395 + 388 - 869). -86*j**4 Expand (-h**2 + h**4 + h**2)*(-4 - 9 + 0) + (-h**3 - 6*h**3 + 3*h**3)*(2 - h - 2). -9*h**4 Expand (-6*t**3 - 1 + 3*t**3 - t**2 + 4*t**3)*(14*t**2 - t**2 - 2*t**2). 11*t**5 - 11*t**4 - 11*t**2 Expand (t - t - t**2 + (-1 + 2*t + 1)*(-2*t + 2*t + t) + 2*t**2 + 4 - 4)*(-12 + 21 + 15). 72*t**2 Expand (4 + 27*a - 27*a + 3*a**2 - 6*a)*(2 - a - 2). -3*a**3 + 6*a**2 - 4*a Expand (-2 - 2 + 1)*(-3*u + 4*u - 3*u) + 10*u + 13*u + 54*u + 0*u. 83*u Expand (-43*h**2 - 3 + 6*h**2 - 24*h**2)*((h - 3*h + 3*h)*(-4*h + 2*h + 0*h) + 2*h**2 + h**2 - 2*h**2) + 0*h**4 - 3*h**4 + 4*h**4. 62*h**4 + 3*h**2 Expand (-2*q**2 - q + q)*(-97*q - 13*q**2 + 15*q**2 + 8*q). -4*q**4 + 178*q**3 Expand (-2 + 3 + 6)*(0*i**3 + 0*i**3 - 2*i**5) + (-5*i**2 + i**2 + i**2)*(5*i**3 + 6*i**3 - 4*i**3) - 5*i**5 + 5*i**5 - i**5. -36*i**5 Expand (18 - 18 - 3*d**2 + 48*d**2)*(-7 + 7 - 23*d**2). -1035*d**4 Expand (3*q**2 + 3*q - 3*q)*(-2*q**3 + 0*q**3 + 4*q**3) - 3*q**2 + 3*q**2 - 2*q**5 - 45*q + 45*q + 12*q**5. 16*q**5 Expand (-4 + 14 - 56 - 1 + 0 + 5 + (-3 + 1 + 0)*(1 - 5 + 3) + 2 - 2 - 1 - 1 + 0 + 0 - 2 - 1 + 2)*(2*b - 2*b + b + (-3 + 4 + 0)*(0*b + 0*b - 2*b)). 43*b Expand 8*r**2 + 3 - 3 + (-6*r + 5*r + 0*r)*(2*r - 2 + 2) + (-2*r**2 + 0 + 0)*(1 + 1 + 5). -8*r**2 Expand (16 + 9 + 42)*(-2*q**3 + 0*q**3 + q**3 + (-q**2 + q**2 + 2*q**2)*(-2*q - q + 0*q) + 2*q**3 - 2*q + 2*q)*(3 - 4 + 0). 335*q**3 Expand (5 + 0 + 1)*(7*z - 19*z + 11*z)*(2 - 2 - z). 6*z**2 Expand (-2*n - 4*n**3 + 2*n)*(-2 + 1 + 2)*(2*n - n + 0*n). -4*n**4 Expand (18*r + 0*r**2 + 2*r**2 + 11*r)*(8*r**2 + 3*r**2 - 5*r**2 + (-2 + 2*r + 2)*(5*r - 4*r + r)). 20*r**4 + 290*r**3 Expand (3 + 0 - 1)*(-m**3 + m**3 + 2*m**3) + (0 + 3 - 2)*(64*m**2 + 57 - 55*m**2 - 11*m**2 - 12*m**3). -8*m**3 - 2*m**2 + 57 Expand (0*y - y + 3*y)*(2 - 4 + 0) - 78*y + 106*y - 225*y - 180*y. -381*y Expand ((-2*d**2 + 0*d**2 + 0*d**2)*(6 - 5*d - 6) + 30*d**3 - 50*d**3 - 42*d**3)*(-6*d**2 + 4*d + 4*d**2 - 2*d). 104*d**5 - 104*d**4 Expand (10*i + i**2 - 6006 + 6006)*(0 - 2 + 0)*(0 + 3 - 16). 26*i**2 + 260*i Expand (-5*z - z + 25*z + (5 - 4 - 3)*(-6*z - z + 5*z))*(2 - 2 + 3*z). 69*z**2 Expand (-3*s**3 + 4*s**3 + 2*s**3)*(-102*s + 39 + 42*s + 57*s). -9*s**4 + 117*s**3 Expand (-1 + 1 - 1)*(-42 - 9*m**3 - 49 + 96). 9*m**3 - 5 Expand -2*i + 2 - 2 + (3 + 4 - 5)*(2 - 2 + i) - 5*i - 2*i + 0*i. -7*i Expand 3*q - 3*q + 3*q + 5*q - 12*q + 4*q + 0*q + 3*q - 5*q + (q - 2*q - q)*(1 - 2 - 1) + 3*q - 2*q + 2*q. 5*q Expand (p - 5 + 5)*(-2*p**2 + 2*p**2 - p**2) - 2*p**3 + 0*p**3 - 2*p**3 + 4*p**3 - 2*p**3 + 0*p**3 + (-2*p**2 + 2 - 2)*(-11 - 6*p + 0*p + 12)*(-1 + 3 + 0). 21*p**3 - 4*p**2 Expand (41*k + 47*k - 12*k)*((-3 + 5 + 0)*(3 + 0 - 1) + 2 + 0 + 6). 912*k Expand -264*b + 264*b - 12*b**5 + (4*b**2 + b**5 - 4*b**2)*(-1 + 1 + 1). -11*b**5 Expand (0*d - 6*d + 5*d)*(-116 - 149 - 15 - 72). 352*d Expand 2*z**4 + 5*z**2 - 5*z**2 + 19*z**4 - 4 + 21*z**4 - 25*z**4 + z**4 + 0*z**4 - 3*z**4 + (0 + 2*z**4 + 0)*(-3 + 2 + 3). 19*z**4 - 4 Expand (-3 + 8 + 4)*(-36*q**2 + 37 + 8 - 37). -324*q**2 + 72 Expand (-33 + 5*a - 6*a + 35)*(-5 + 14*a + 5). -14*a**2 + 28*a Expand (4*p - 4*p + p)*(2 - 4 + 7)*(-21
{ "pile_set_name": "DM Mathematics" }
931? 6322 What comes next: -15, -29, -63, -123, -215, -345, -519, -743? -1023 What is next in -23, -63, -117, -179, -243, -303, -353? -387 What is the next term in -61, -193, -399, -679, -1033? -1461 What comes next: -98, -351, -746, -1277, -1938, -2723, -3626? -4641 What is the next term in 113, 123, 117, 89, 33, -57, -187? -363 What comes next: 8, -30, -164, -442, -912, -1622, -2620, -3954? -5672 What is the next term in -49, -97, -145? -193 What is next in -285, -286, -287, -288, -289? -290 What comes next: -14, -22, -34, -50, -70? -94 What is the next term in 90, 185, 270, 339, 386, 405, 390? 335 What is next in 43, 85, 127, 169? 211 What is the next term in -106, -108, -110, -112, -114? -116 What comes next: -44, -64, -74, -68, -40, 16, 106, 236? 412 What is next in 432, 852, 1260, 1650, 2016? 2352 What comes next: -187, -184, -181, -178, -175, -172? -169 What is the next term in -6, -16, -58, -150, -310, -556, -906? -1378 What comes next: -105, -412, -923, -1638, -2557? -3680 What is the next term in 53, 187, 431, 803, 1321, 2003? 2867 What is next in -3, -6, -13, -24, -39, -58? -81 What comes next: 669, 652, 609, 528, 397, 204, -63, -416? -867 What is the next term in 18, 77, 180, 333, 542, 813? 1152 What is the next term in -13, -26, -55, -106, -185, -298, -451, -650? -901 What is the next term in -6022, -6023, -6024, -6025? -6026 What is the next term in -98, -95, -92, -89, -86? -83 What is next in 44, 85, 124, 161, 196, 229? 260 What comes next: 54, 53, 52, 51? 50 What comes next: -27, -29, -33, -39? -47 What comes next: -6034, -12066, -18100, -24136? -30174 What comes next: -15, -11, -7? -3 What is the next term in -41, -21, 33, 139, 315, 579? 949 What comes next: -18, -37, -56, -75, -94, -113? -132 What is the next term in 28, 32, 44, 70, 116, 188, 292, 434? 620 What is next in -4, 26, 104, 254, 500, 866, 1376? 2054 What comes next: -2, 25, 98, 241, 478, 833, 1330, 1993? 2846 What is next in -1910, -3822, -5734? -7646 What comes next: 11, 10, 9, 8, 7? 6 What comes next: 16, 35, 68, 115, 176? 251 What is the next term in -47, -123, -249, -431, -675, -987, -1373? -1839 What is next in -416, -419, -424, -431, -440, -451? -464 What comes next: -30, -45, -68, -105, -162, -245, -360? -513 What is the next term in -6652, -6657, -6664, -6673, -6684, -6697? -6712 What is the next term in 325, 663, 1011, 1375, 1761, 2175, 2623, 3111? 3645 What comes next: 14854, 14850, 14848, 14848, 14850, 14854? 14860 What is the next term in -23654, -47304, -70952, -94598, -118242, -141884? -165524 What is next in -27, -21, -15, -9, -3? 3 What is next in 1481, 1479, 1477? 1475 What is the next term in -27, -118, -277, -510, -823, -1222? -1713 What is next in -11, -27, -43, -59, -75, -91? -107 What is next in -527, -1062, -1603, -2150, -2703, -3262? -3827 What is the next term in 3635, 3627, 3619, 3611? 3603 What is next in -209, -223, -237? -251 What is the next term in 6815, 6818, 6821, 6824, 6827? 6830 What is next in -5, -62, -135, -218, -305? -390 What is next in -712, -1438, -2164, -2890, -3616? -4342 What is the next term in 138, 214, 290, 366, 442, 518? 594 What is the next term in 791, 3148, 7077, 12578, 19651, 28296? 38513 What is the next term in 55, 43, 31, 19, 7, -5? -17 What is next in -19, -8, 3, 8, 1? -24 What is the next term in 249, 502, 757, 1014? 1273 What comes next: 3, 6, 17, 42, 87, 158? 261 What comes next: -270, -360, -510, -720? -990 What comes next: 2, 5, 12, 23, 38, 57? 80 What is next in -2325, -9288, -20893, -37140, -58029? -83560 What comes next: -156, -312, -468, -624, -780? -936 What is the next term in 6536, 6534, 6532, 6530, 6528? 6526 What is next in 264, 531, 798, 1065, 1332, 1599? 1866 What is the next term in 11, 33, 75, 143, 243, 381, 563, 795? 1083 What is the next term in -58, -253, -570, -1003, -1546, -2193, -2938, -3775? -4698 What comes next: 616, 615, 612, 607, 600, 591, 580? 567 What is next in 10, 25, 50, 91, 154, 245? 370 What is next in 3354, 6716, 10078? 13440 What is the next term in -25, -62, -123, -208? -317 What is next in 332, 1333, 2986, 5279, 8200, 11737, 15878? 20611 What is the next term in -403, -759, -1105, -1435, -1743, -2023, -2269, -2475? -2635 What is next in 30, 15, -6, -33, -66? -105 What comes next: 126, 110, 78, 24, -58, -174, -330? -532 What is next in 122, 118, 114? 110 What is the next term in 2384, 4767, 7150, 9533? 11916 What comes next: 2643, 2645, 2657, 2685, 2735, 2813? 2925 What is the next term in -138, -265, -396, -537, -694, -873, -1080, -1321? -1602 What is the next term in -253, -246, -237, -226, -213, -198, -181? -162 What is next in 2627, 2623, 2619? 2615 What is next in -16, -43, -84, -139, -208, -291? -388 What comes next: -46, -76, -164, -340, -634, -1076? -1696 What is next in -1, -28, -77, -148, -241, -356, -493? -652 What is the next term in 30, 112, 248, 438, 682, 980? 1332 What comes next: 245, 246, 247? 248 What is next in 61, 64, 75, 100, 145? 216 What is the next term in -47, -48, -49, -50, -51? -52 What is the next term in -85, -151, -217? -283 What is the next term in 839, 843, 857, 887, 939? 1019 What comes next: 94, 188, 282, 376, 470? 564 What is the next term in 176, 713, 1612, 2879, 4520, 6541, 8948, 11747? 14944 What is the next term in 505, 506, 507? 508 What is next in 19, 49, 81, 115, 151? 189 What is the next term in 148, 587, 1320, 2347? 3668 What is the next term in -138, -171, -218, -285, -378, -503, -666, -873? -1130 What is next in -88, -166, -264, -388, -544, -738, -976? -1264 What is next in 8442, 8451, 8472, 8511, 8574, 8667, 8796, 8967? 9186 What is the next term in 68, 139, 210? 281 What is next in 13, 36, 73, 124? 189 What comes next: 2396, 4795, 7194, 9593, 11992, 14391? 16790 What is next in -388, -373, -356, -343, -340? -353 What comes next: -1113, -1108, -1101, -1092, -1081, -1068, -1053? -1036 What is next in -14, -23, -56, -125, -242? -419 What comes next: -261, -553, -845, -1137, -1429? -1721 What comes next: 98, 115, 146, 197, 274? 383 What is next in -21, -36, -47, -54, -57? -56 What is next in 68, 137, 206, 275? 344 What is the next term in -99, -195, -287, -375? -459 What comes next: 236, 257, 302, 377, 488, 641, 842? 1097 What is next in -273, -176, -23, 180, 427? 712 What comes next: -1636, -1634, -1630, -1624, -1616? -1606 What is the next term in 1389, 2778, 4169, 5562, 6957? 8354 What is next in -19, -31, -45, -61? -79 What is next in 7809, 7807, 7813, 7833, 7873, 7939, 8037, 8173? 8353 What comes next: 265, 225, 125, -65, -375? -835 What is next in 1590, 1591, 1592, 1593, 1594? 1595 What is the next term in 57034, 57035, 57036, 57037? 57038 What is next in -21, -82, -183, -324, -505, -726? -987 What is the next term in -2, 1, 4, 7, 10? 13 What is next in -4485, -8971, -13457, -17943, -22429? -26915 What comes next: 190, 196, 208, 226? 250 What is the next term in 16, 30, 56, 94, 144, 206? 280 What is next in -18, 0, 32, 84, 162? 272 What is the next term in 126, 145, 162, 177? 190 What is next in -25, -119, -283, -523, -845, -1255, -1759, -2363? -3073 What is next in -6, 23, 114, 297, 602, 1059, 1698? 2549 What is the next term in -410, -410, -412, -416, -422? -430 What is next in 0, 6, 8, 0, -24? -70 What comes next: -7, -13, -17, -19? -19 What is the next term in -12, -157, -398, -735? -1168 What is next in -1, -11, -19, -25, -29, -31, -31? -29 What comes next: 1, -16, -45, -86, -139? -204 What is next in 795, 812, 855, 936, 1067? 1260 What comes next: 311, 306, 299, 290? 279 What is next in -35, -62, -89? -116 What comes next: 575, 588, 601? 614 What is the next term in 19, 16, -3, -50, -137, -276, -479, -758? -1125 What is the next term in -4939, -4931, -4911, -4873, -4811, -4719? -4591 What is the next term in -9, -38, -85, -150? -233 What is next in -6178, -6175, -6172, -6169? -6166 What is next in -20, -69, -118, -167, -216, -265? -314 What comes next: -46, -10, 54, 152, 290? 474 What comes next: 394, 781, 1168, 1555, 1942, 2329? 2716 What comes next: -4017, -8032, -12047? -16062 What is the next term in -85, -328, -733, -1300, -2029? -2920 What is next in 1080, 4316, 9708, 17256? 26960 What comes next: -17, -59, -133, -239? -377 What comes next: 220, 373, 528, 685? 844 What is next in 2, -48, -158, -334, -582,
{ "pile_set_name": "DM Mathematics" }
1.7 1.6095255 Add -0.21 and 3130. 3129.79 Subtract 0.888 from 184. 183.112 -0.492+0.6 0.108 Calculate -0.39 + -0.50278. -0.89278 Work out -2.161 + -1. -3.161 13434.5+-4.3 13430.2 Total of -2.83 and 7. 4.17 Total of 6 and 35661. 35667 Total of 0.64 and 69.21. 69.85 Total of -5 and 1179571. 1179566 What is 467829 - -9? 467838 Add 781832 and -0.3. 781831.7 Total of 0.4 and 8.9. 9.3 -1 - -0.1716 -0.8284 Subtract 55.6 from 4. -51.6 What is -41068 - 12? -41080 4 - -2280 2284 -0.3 - 122841 -122841.3 Add -0.051 and -14238. -14238.051 What is -0.8 - 25414? -25414.8 Subtract 2.2 from -76. -78.2 What is the difference between -75 and -4.3? 70.7 What is -0.5 plus 4.1? 3.6 Add 0.038 and -21587. -21586.962 What is 102 plus 29401? 29503 Put together -0.0239 and -29. -29.0239 What is the difference between 16.9 and 1860? 1843.1 Add together -5 and -3.2692. -8.2692 What is -0.25 minus 22.258? -22.508 What is 23.6 - -11? 34.6 Sum -2323430 and 4. -2323426 What is -25.212 plus 113? 87.788 Total of 8 and 194632. 194640 -788 + 4.4 -783.6 Sum -454 and -908. -1362 What is -4 minus 12.345? -16.345 What is 0.98 plus -1.2? -0.22 Total of 0.3357 and -0.5. -0.1643 Subtract 237 from 20. -217 Add together 3.1 and -1043. -1039.9 What is 2 plus 188.6? 190.6 What is the difference between -0.3 and -23025.5? 23025.2 Calculate 32242 + 4. 32246 Calculate 25783.53 + -3. 25780.53 Add together 20.41 and 22. 42.41 What is the distance between -270.46 and 8.7? 279.16 What is the distance between -1.312 and -11.6? 10.288 Add 115.4 and 0.06659. 115.46659 Add -11 and 18. 7 What is -27 less than 0.066? 27.066 Work out -0.7698 - -3.1. 2.3302 -16705 + -4 -16709 What is -9.011 - 0? -9.011 -0.164 + 13 12.836 What is 4 plus -20.1098? -16.1098 What is -6038 take away 1? -6039 Sum 22.47 and -0.606. 21.864 What is -9242.451 minus -0.3? -9242.151 Calculate 3.5 + -0.13. 3.37 Work out 0.7 - 41. -40.3 Add together -0.04 and 6792.5. 6792.46 1.424+-0.24 1.184 Total of 0.4 and 888. 888.4 1338557+1 1338558 What is -68 plus -264? -332 What is -96 - 0.283? -96.283 Add together 4 and 0.8. 4.8 Put together 51.5 and -0.09. 51.41 Total of -13807 and 0.4. -13806.6 293+-0.12 292.88 Calculate 0.3 + -4947. -4946.7 Calculate -3.2 - 0.08111. -3.28111 0.3803 - 0.4 -0.0197 -19381+-88 -19469 What is 0.33 take away 1638.3? -1637.97 63.7+-4 59.7 1.4957 - -5 6.4957 Add together 260 and 8132. 8392 What is 0.071 less than -0.265849? -0.336849 What is 157 less than -5384? -5541 Sum -0.4 and -0.521. -0.921 Work out -290839 - 4. -290843 Add together 0.4 and -126. -125.6 Put together -4.4 and 3. -1.4 What is 35 plus 31.8? 66.8 What is -40033 take away -0.03? -40032.97 -0.4 + 10564 10563.6 Work out -1.649 + 1. -0.649 -108+8.6 -99.4 Sum 61852 and -3. 61849 Add together 87701 and -7. 87694 Work out -0.11 + 0.116. 0.006 Work out -0.036 - 7.5. -7.536 What is -23 + 1478? 1455 What is -2446 minus -24.9? -2421.1 What is -26 minus 7.35? -33.35 What is -1 minus 7.11788? -8.11788 Calculate -3 - 7.25. -10.25 86 - -2 88 Work out -2051 - 2. -2053 -52 + 0.805 -51.195 What is 0.361 less than -3? -3.361 What is 0 - 55.803? -55.803 What is 0.4 less than 2.0779? 1.6779 Calculate 0.06 - -62. 62.06 -133 - -50.814 -82.186 Work out -0.28 - 0.378. -0.658 Put together 0.3 and -207.6. -207.3 Calculate -840.6 - 20. -860.6 -35 - 4.546 -39.546 What is 5635.5 plus 0.03? 5635.53 3633+0 3633 What is the distance between -2634 and 0.69? 2634.69 0.0677+8 8.0677 Add -38774 and -7. -38781 What is the difference between 0.2 and -0.45302? 0.65302 What is the distance between -0.4 and -5623? 5622.6 -103775 - 5 -103780 Sum -0.141 and -1.1899. -1.3309 Work out -0.23 - 101. -101.23 Calculate 0.5 - -574109. 574109.5 Calculate -0.2 + 16.6. 16.4 Subtract 59 from 0.589. -58.411 -39 - -7 -32 -0.1 + 38.31 38.21 What is 474.11 - 1? 473.11 Work out -6 - -112. 106 Subtract 11 from -24. -35 -0.6061+7 6.3939 What is the difference between 406157 and 1? 406156 Work out 0.5084 - 71.2. -70.6916 Total of -423.1 and -124. -547.1 What is the difference between 381726 and -0.1? 381726.1 What is -5275 minus -4? -5271 Sum 0.18 and 15173. 15173.18 -8.9+4583 4574.1 What is -0.8 take away 0.077? -0.877 Add together -38 and 0.03. -37.97 Put together 171 and -6. 165 Calculate -0.05 - -1.49817. 1.44817 -0.2 + -155711 -155711.2 Put together -0.3 and 2.91655. 2.61655 Total of 635.1 and 5. 640.1 Calculate 1312.1 + -1.7. 1310.4 What is 1.9 minus -5.4? 7.3 What is -0.1 take away 428? -428.1 Work out 0 + -311.8. -311.8 What is 8104 - 3.9? 8100.1 Add -18.1 and 3048. 3029.9 What is 15595 + 0.4? 15595.4 221834 + -2 221832 What is -332.921 minus 2? -334.921 Work out -131 + -22592. -22723 Calculate -0.0232 + -17.76. -17.7832 Calculate -683.5 - 388. -1071.5 Total of -0.3 and -43.168. -43.468 What is the distance between 58.3 and 20? 38.3 Calculate 0.57 - -0.001. 0.571 What is 0.1743 less than -0.15? -0.3243 -11.7 + 18 6.3 What is -43 minus 493.2? -536.2 -0.8 - -764 763.2 What is the difference between 1.63 and 0.45? 1.18 Add together -12550 and 0.16. -12549.84 Work out 4 + 3.022. 7.022 Calculate -0.1 - 23826.4. -23826.5 What is 2 - 57.96? -55.96 Work out -384 - 0.19. -384.19 Total of -10.383 and -0.4. -10.783 -2.5 - 118 -120.5 What is -0.5074 less than 0.09? 0.5974 What is -109.30016 minus 5? -114.30016 What is 3 - -21626? 21629 Total of 3 and -0.187. 2.813 Calculate 1 - 5878. -5877 -4 + 183990 183986 Calculate 9 + -9.1. -0.1 -0.634 - -0.1 -0.534 What is 7263.79 - -3? 7266.79 What is 8 plus -135729? -135721 Total of -4 and 45. 41 Sum 0.7 and 7777. 7777.7 -164+0.12 -163.88 Calculate 2598 - 0.3. 2597.7 Subtract 1.2 from -1.068. -2.268 What is 0.1 - 110956? -110955.9 54 - 0.02371 53.97629 Add together 3 and -162513. -162510 Calculate -0.21 + 703.4. 703.19 Sum -18698 and -0.4. -18698.4 Total of 3 and -16.7. -13.7 Total of -321 and -0.31. -321.31 Sum -15 and 301. 286 5.4 - -13 18.4 Sum -35262 and 5. -35257 -240 - -0.148 -239.852 What is the difference between -1.6 and -0.307? 1.293 What is -957671 minus 0.1? -957671.1 What is the difference between 2687851 and -0.2? 2687851.2 Add 762 and 0.374. 762.374 What is 35.5 minus -8.3? 43.8 Put together -0.05 and 1145. 1144.95 What is 6 plus -751? -745 Add -24 and -13.06. -37.06 Total of 208 and 1.04. 209.04 Sum 3 and 58.58. 61.58 Work out 0.289 + 0.5. 0.789 Add -0.2 and 14.9083. 14.7083 -36995+-3 -36998 What is -2377 - 0.9? -2377.9 Calculate 345152 + 1. 345153 Sum -303 and -0.2842. -303.2842 What is 1562 minus -250? 1812 Put together -3 and 0.1016058. -2.8983942 What is -4.35 plus -437.2? -441.55 Calculate -7298 - -0.227. -7297.773 What is 2 - 362806? -362804 Add together 34103 and 2. 34105 What is 0.5 take away 1.21? -0.71 What is the difference between 0.2 and 200.9? 200.7 Total of 3 and 242.66. 245.66 Total of 78626 and -8. 78618 What is -281.5 take away -0.5? -281 Calculate -0.3 - -0.91. 0.61 Sum -10 and 4.9685. -5.0315 1+25376 25377 What is the distance between -0.1 and 71.46? 71.56 What is the distance between -4 and 1115.4? 1119.4 What is -1128 + -0.01? -1128.01 -461.683+-6 -467.683 Work out 512.766 + 0.3. 513.066 0.9689+2.3 3.2689 -74612 - 2 -74614 What is -1017 plus 19? -998 -0.02485+-0.14 -0.16485 -2330 - -0.7 -2329.3 Calculate -217459 - 4. -217463 What is 693 - -1702? 2395 Work out -16 - -610.31. 594.31 What is 0.07 minus 4.1? -4.03 Sum 1 and 0.01655. 1.01655 What is -7565 + 0.356? -7564.644 Put together 0.02615 and 0.1. 0.12615 What is 0 take away -118076? 118076 Work out -0.56 - -4. 3.44 Calculate 925 + -227.7. 697.3 Work out 1.811 + 18. 19.811 Add 0.3 and 2155. 2155.3 Add -2263 and 11. -2252 Add -0.08 and 376092. 376091.92 -1 + -0.04999 -1.04999 What is 3 + -0.0170181? 2.9829819 1 - -6.95 7.95 What is -3 plus 15.1148? 12.1148 Work out 0.57 - -23. 23.57 What is the difference between -9130 and -0.8? 9129.2 Add together -70766 and -133. -70899 What is -609 minus -0.0077? -608.9923 Sum 1 and 0.863. 1.863 Calculate -3 + 1504. 1501 Work out -8 - 18224. -18232 Add -0.2 and -585. -585.2 Calculate 6 + 0.0652. 6.0652 What is 0.02 less than -5.4? -5.42 Add 2.1 and 31. 33.1 What is 0.9 + 0.02944? 0.92944 Add together 4 and -5.56. -1.56 What is the distance between 6337 and -25? 6362 What is -0.13528 + -0.04? -0.17528 What is the difference between -312 and -2?
{ "pile_set_name": "DM Mathematics" }
3 + m**2 - 24*m + 22 What is the i'th term of 281, 283, 285, 287, 289? 2*i + 279 What is the b'th term of -641, -649, -657, -665, -673, -681? -8*b - 633 What is the q'th term of -5, 5, 39, 109, 227, 405, 655, 989? 2*q**3 - 4*q - 3 What is the o'th term of -22, -68, -144, -256, -410, -612, -868? -o**3 - 9*o**2 - 12*o What is the l'th term of -66, -90, -114? -24*l - 42 What is the s'th term of -919, -926, -935, -946, -959? -s**2 - 4*s - 914 What is the f'th term of 100, 130, 178, 250, 352, 490, 670? f**3 + 3*f**2 + 14*f + 82 What is the m'th term of -17, -70, -179, -362, -637? -3*m**3 - 10*m**2 - 2*m - 2 What is the r'th term of -2238, -2250, -2276, -2322, -2394, -2498, -2640? -r**3 - r**2 - 2*r - 2234 What is the y'th term of 529, 531, 533, 535, 537? 2*y + 527 What is the s'th term of -29, -25, -19, -11, -1, 11? s**2 + s - 31 What is the f'th term of 36, 37, 40, 45, 52, 61, 72? f**2 - 2*f + 37 What is the s'th term of -1677, -3356, -5035, -6714? -1679*s + 2 What is the a'th term of -214, -338, -462? -124*a - 90 What is the b'th term of -95, -100, -115, -146, -199, -280, -395, -550? -b**3 + b**2 - b - 94 What is the v'th term of 204, 209, 216, 225, 236? v**2 + 2*v + 201 What is the g'th term of -831, -1664, -2497, -3330, -4163? -833*g + 2 What is the a'th term of -180, -175, -166, -153, -136, -115, -90? 2*a**2 - a - 181 What is the k'th term of 77, 79, 87, 107, 145, 207, 299? k**3 - 3*k**2 + 4*k + 75 What is the n'th term of 73, 69, 65, 61, 57? -4*n + 77 What is the b'th term of 106, 220, 336, 454, 574, 696, 820? b**2 + 111*b - 6 What is the c'th term of -42, -144, -296, -492, -726, -992? c**3 - 31*c**2 - 16*c + 4 What is the c'th term of -76, -79, -84, -91, -100, -111, -124? -c**2 - 75 What is the k'th term of -53, -83, -135, -209? -11*k**2 + 3*k - 45 What is the q'th term of 217, 231, 245, 259, 273, 287? 14*q + 203 What is the j'th term of -626, -1248, -1868, -2486, -3102, -3716? j**2 - 625*j - 2 What is the g'th term of -57, -110, -163, -216? -53*g - 4 What is the w'th term of -34, -26, 4, 62, 154, 286, 464, 694? w**3 + 5*w**2 - 14*w - 26 What is the l'th term of -12, -9, -6, -3, 0, 3? 3*l - 15 What is the b'th term of -38, -29, -14, 7? 3*b**2 - 41 What is the q'th term of -457, -464, -471? -7*q - 450 What is the o'th term of -1148, -1152, -1156, -1160, -1164, -1168? -4*o - 1144 What is the y'th term of 41, 67, 91, 113? -y**2 + 29*y + 13 What is the o'th term of -28, -33, -52, -91, -156, -253, -388? -o**3 - o**2 + 5*o - 31 What is the u'th term of 24, 76, 142, 228, 340? u**3 + u**2 + 42*u - 20 What is the m'th term of 28, 56, 106, 184, 296, 448? m**3 + 5*m**2 + 6*m + 16 What is the h'th term of 22, 20, 4, -32, -94, -188, -320? -h**3 - h**2 + 8*h + 16 What is the n'th term of -60, -40, -10, 30, 80, 140, 210? 5*n**2 + 5*n - 70 What is the t'th term of 2626, 2628, 2630, 2632, 2634? 2*t + 2624 What is the o'th term of -4210, -4213, -4218, -4225, -4234, -4245? -o**2 - 4209 What is the t'th term of 5, 13, 33, 71, 133? t**3 + t + 3 What is the m'th term of -1440, -1438, -1434, -1428? m**2 - m - 1440 What is the z'th term of 691, 693, 695, 697, 699? 2*z + 689 What is the r'th term of 862, 854, 844, 832, 818, 802? -r**2 - 5*r + 868 What is the x'th term of -20, -16, 0, 28, 68, 120? 6*x**2 - 14*x - 12 What is the h'th term of -624, -1248, -1886, -2544, -3228? -h**3 - h**2 - 614*h - 8 What is the q'th term of -24, -13, -4, 3, 8, 11? -q**2 + 14*q - 37 What is the o'th term of 274, 1128, 2544, 4516, 7038, 10104, 13708, 17844? -o**3 + 287*o**2 - 12 What is the y'th term of -22, -26, -30? -4*y - 18 What is the h'th term of -270, -272, -274, -276, -278, -280? -2*h - 268 What is the q'th term of -87, -97, -113, -141, -187? -q**3 + 3*q**2 - 12*q - 77 What is the z'th term of -1, 26, 81, 164? 14*z**2 - 15*z What is the b'th term of 45, 90, 137, 186, 237, 290? b**2 + 42*b + 2 What is the q'th term of 164, 172, 180? 8*q + 156 What is the u'th term of -7, -9, -25, -61, -123? -u**3 - u**2 + 8*u - 13 What is the a'th term of -84, -90, -94, -96, -96, -94? a**2 - 9*a - 76 What is the w'th term of -48, -56, -76, -114, -176? -w**3 - w - 46 What is the p'th term of 8, 120, 422, 1010, 1980, 3428, 5450? 16*p**3 - p**2 + 3*p - 10 What is the l'th term of -2666, -2658, -2636, -2594, -2526, -2426, -2288, -2106? l**3 + l**2 - 2*l - 2666 What is the z'th term of 21, 90, 249, 534, 981? 6*z**3 + 9*z**2 + 6 What is the d'th term of 818, 3325, 7496, 13325, 20806? -d**3 + 838*d**2 - 19 What is the a'th term of -12, -23, -32, -39? a**2 - 14*a + 1 What is the i'th term of 158, 156, 154, 152, 150? -2*i + 160 What is the o'th term of 79, 311, 697, 1237? 77*o**2 + o + 1 What is the q'th term of 300, 634, 968, 1302, 1636, 1970? 334*q - 34 What is the a'th term of -2439, -2437, -2435? 2*a - 2441 What is the c'th term of -515, -516, -517, -518? -c - 514 What is the d'th term of -467, -460, -441, -404, -343, -252, -125, 44? d**3 - 468 What is the c'th term of 45, 60, 89, 138, 213, 320? c**3 + c**2 + 5*c + 38 What is the s'th term of -98, -132, -168, -206, -246, -288, -332? -s**2 - 31*s - 66 What is the k'th term of -93, -179, -267, -357? -k**2 - 83*k - 9 What is the g'th term of -48, -35, -16, 9? 3*g**2 + 4*g - 55 What is the x'th term of -19, -42, -65? -23*x + 4 What is the k'th term of 0, 0, -6, -24, -60, -120? -k**3 + 3*k**2 - 2*k What is the m'th term of -939, -940, -941, -942? -m - 938 What is the p'th term of 379, 375, 371? -4*p + 383 What is the m'th term of -139, -148, -157, -166? -9*m - 130 What is the y'th term of -289, -277, -257, -229, -193, -149? 4*y**2 - 293 What is the a'th term of 1228, 2458, 3688, 4918, 6148? 1230*a - 2 What is the h'th term of -81, -96, -133, -204, -321, -496, -741, -1068? -2*h**3 + h**2 - 4*h - 76 What is the m'th term of 15678, 31354, 47030? 15676*m + 2 What is the w'th term of 563, 562, 561, 560, 559? -w + 564 What is the g'th term of 1, 30, 81, 154, 249? 11*g**2 - 4*g - 6 What is the z'th term of 18, 25, 40, 69, 118, 193? z**3 - 2*z**2 + 6*z + 13 What is the v'th term of 19, 72, 125, 178, 231, 284? 53*v - 34 What is the r'th term of -5, 66, 249, 598, 1167, 2010, 3181? 9*r**3 + 2*r**2 + 2*r - 18 What is the g'th term of -414, -420, -436, -468, -522, -604? -g**3 + g**2 - 2*g - 412 What is the p'th term of 100, 203, 306, 409, 512? 103*p - 3 What is the p'th term of -39, -488, -1237, -2286, -3635? -150*p**2 + p + 110 What is the z'th term of 86, 3, -92, -205, -342? -z**3 - 76*z + 163 What is the v'th term of 968, 970, 972, 974, 976? 2*v + 966 What is the b'th term of 65, 54, 31, -10, -75, -170, -301, -474? -b**3 - 4*b + 70 What is the v'th term of 674, 672, 670, 668, 666, 664? -2*v + 676 What is the m'th term of 108, 98, 88, 78, 68, 58? -10*m + 118 What is the d'th term of -151, -152, -153, -154? -d - 150 What is the z'th term of -779, -760, -741, -722, -703? 19*z - 798 What is the l'th term of 14, 29, 54, 95, 158, 249? l**3 - l**2 + 11*l + 3 What is the d'th term of 10, 18, 26, 34? 8*d + 2 What is the b'th term of 426, 415, 398, 375, 346, 311, 270? -3*b**2 - 2*b + 431 What is the m'th term of 1907, 1908, 1909, 1910, 1911, 1912? m + 1906 What is the w'th term of -16, -28, -38, -46, -52, -56? w**2 - 15*w - 2 What is the r'th term of -49, -99, -137, -157, -153, -119, -49? r**3 - 57*r + 7 What is the m'th term of 34, 23, 12, 1, -10? -11*m + 45 What is the k'th term of 120, 229, 348, 483, 640, 825, 1044, 1303? k**3 - k**2 + 105*k + 15 What is the z'th term of 12, 75, 180, 327, 516? 21*z**2 - 9 What is the i'th term of -48, -74, -116, -174, -248, -338, -444? -8*i**2 - 2*i - 38 What is the k'th term of 74, 59, 52, 59, 86? k**3 - 2*k**2 - 16*k + 91 What is the m'th term of 18, 16, 6, -18, -62, -132? -m**3 + 2*m**2 - m + 18 What is the u'th term of 35, 35, 33, 29, 23, 15, 5? -u**2 + 3*u + 33 What is the q'th term of -9991, -9993, -9995, -9997, -9999, -10001? -2*q - 9989 What is the a'th term of 914, 1825, 2736, 3647? 911*a + 3 What is the u'th term of -3, -10, -13, -12, -7, 2? 2*u**2 - 13*u + 8 What is the t'th term of -395, -405, -415, -425? -10*t - 385 What is the v'th term of -638, -620, -592, -554, -506, -448? 5*v**2 + 3*v - 646 What is the i'th term of -54, -45, -34, -21, -6, 11, 30? i**2 + 6*i - 61 What is the k'th term of -2903, -5802, -8701, -11600? -2
{ "pile_set_name": "DM Mathematics" }
xt term in 56, 389, 1276, 2993, 5816, 10021, 15884? 23681 What is next in 8, 12, 16, 20? 24 What is next in -3036, -3050, -3078, -3126, -3200, -3306? -3450 What is next in -3, -17, -31, -45? -59 What is the next term in 142, 557, 1236, 2167, 3338, 4737, 6352, 8171? 10182 What comes next: 21, 65, 135, 231? 353 What comes next: 52, 50, 48, 46, 44? 42 What comes next: -37, -88, -153, -238, -349? -492 What is the next term in -35, -80, -137, -212, -311, -440, -605? -812 What comes next: -80, -136, -188, -236, -280? -320 What is next in 33, 27, 9, -27, -87, -177? -303 What comes next: 243, 465, 687, 909, 1131? 1353 What comes next: -28, 1, 58, 149, 280, 457? 686 What is next in 72, 119, 166, 213, 260? 307 What is next in -35, -75, -115, -155, -195? -235 What is the next term in 47, 50, 61, 86, 131? 202 What comes next: 2452, 2447, 2440, 2431? 2420 What is the next term in 903, 914, 925, 936, 947, 958? 969 What comes next: 39, 107, 187, 285, 407, 559, 747? 977 What is the next term in 242, 249, 256, 263, 270, 277? 284 What comes next: 82, 166, 250, 334, 418? 502 What comes next: 2585, 2595, 2627, 2693, 2805? 2975 What is the next term in -51, -59, -81, -123, -191, -291? -429 What comes next: 159, 623, 1393, 2469, 3851, 5539, 7533? 9833 What comes next: -719, -758, -815, -884, -959, -1034, -1103? -1160 What is next in 43, 104, 175, 262, 371, 508, 679? 890 What comes next: 12297, 12288, 12265, 12222, 12153, 12052? 11913 What is the next term in 3431, 3436, 3443, 3452, 3463? 3476 What comes next: -314, -290, -246, -176, -74? 66 What is next in 41, 105, 169, 233, 297, 361? 425 What is the next term in -112, -451, -1016, -1807, -2824, -4067? -5536 What comes next: 69, 67, 63, 57, 49? 39 What comes next: -68, -69, -70, -71, -72? -73 What is the next term in 139, 280, 421, 562, 703, 844? 985 What is next in -205, -408, -611, -814? -1017 What is the next term in -130, -128, -126, -124, -122, -120? -118 What comes next: 121, 241, 365, 499, 649, 821? 1021 What is the next term in -82, -71, -60, -49, -38, -27? -16 What is the next term in 1178, 2362, 3546, 4730, 5914, 7098? 8282 What is next in 97, 263, 441, 637, 857, 1107, 1393, 1721? 2097 What is next in -25, -43, -61? -79 What is the next term in -572, -1143, -1714, -2285? -2856 What is next in -132, -257, -378, -489, -584, -657, -702, -713? -684 What comes next: 7, -29, -101, -227, -425, -713, -1109, -1631? -2297 What is the next term in 27, 15, -3, -27, -57, -93? -135 What is next in -31, -72, -115, -160? -207 What is the next term in 106, 200, 286, 364? 434 What is next in 61, 106, 239, 502, 937? 1586 What is the next term in -3, -3, 3, 21, 57, 117, 207, 333? 501 What is next in -127, -433, -731, -1015, -1279, -1517? -1723 What comes next: -324, -339, -368, -417, -492? -599 What is next in 21, 9, -11, -39, -75, -119, -171? -231 What is the next term in 116, 227, 324, 401, 452, 471, 452? 389 What is the next term in 48, 234, 556, 1020, 1632, 2398, 3324? 4416 What is the next term in 770, 1543, 2316, 3089? 3862 What is the next term in 521, 522, 523, 524, 525? 526 What is the next term in -229, -457, -687, -919? -1153 What is next in 40285, 40295, 40317, 40357, 40421, 40515, 40645, 40817? 41037 What comes next: 422, 845, 1268, 1691, 2114, 2537? 2960 What comes next: 12, 85, 280, 657, 1276? 2197 What comes next: 2677, 2668, 2647, 2608, 2545, 2452, 2323, 2152? 1933 What comes next: -25, -78, -153, -244, -345, -450, -553, -648? -729 What is next in 1847, 7394, 16639, 29582, 46223? 66562 What is the next term in -5, 5, 37, 103, 215, 385? 625 What is next in -67, -118, -165, -208? -247 What is next in 8500, 8498, 8494, 8488, 8480, 8470? 8458 What comes next: 70, 136, 202, 268, 334, 400? 466 What is next in -28, -20, 6, 56, 136? 252 What is next in -18, -5, 8, 21, 34, 47? 60 What is the next term in 71, 85, 109, 143, 187, 241, 305? 379 What comes next: 63, 300, 943, 2196, 4263? 7348 What is next in 49, 93, 133, 169, 201, 229? 253 What comes next: 92, 87, 78, 65, 48? 27 What is next in 17, -3, -37, -85? -147 What is next in -126, -133, -136, -135, -130, -121, -108? -91 What comes next: 33, 121, 267, 471, 733, 1053? 1431 What is the next term in -79, -172, -267, -364? -463 What is the next term in 599, 598, 597, 596, 595? 594 What is the next term in -1236, -1240, -1246, -1254, -1264? -1276 What comes next: 10, 35, 94, 205, 386, 655, 1030, 1529? 2170 What comes next: 133, 267, 401? 535 What is the next term in 326, 1299, 2920, 5189, 8106? 11671 What is next in 17, 13, -1, -31, -83, -163, -277, -431? -631 What comes next: 3649, 3657, 3671, 3691? 3717 What is next in 2100, 2101, 2102, 2103? 2104 What comes next: 303, 302, 301? 300 What comes next: -26, -66, -124, -200, -294, -406? -536 What is the next term in -49, -22, 59, 224, 503, 926, 1523, 2324? 3359 What comes next: -1, -251, -667, -1249? -1997 What is the next term in -423, -849, -1277, -1707? -2139 What is the next term in 860, 862, 860, 854? 844 What comes next: 1, -32, -115, -272, -527, -904? -1427 What is next in 433, 874, 1317, 1762? 2209 What is the next term in 11923, 11922, 11921, 11920, 11919, 11918? 11917 What is next in 5, -19, -81, -199, -391, -675? -1069 What comes next: -2237, -2236, -2233, -2228, -2221, -2212? -2201 What is the next term in -1, -13, -47, -115, -229, -401? -643 What is next in 126, 262, 406, 558, 718, 886? 1062 What is next in 46, 83, 116, 145, 170, 191? 208 What is the next term in 372, 373, 376, 381, 388, 397? 408 What comes next: 7063, 7062, 7061, 7060, 7059, 7058? 7057 What comes next: -5081, -5080, -5079, -5078, -5077? -5076 What is next in -31, -58, -85, -112, -139? -166 What comes next: -447, -3572, -12051, -28560, -55775? -96372 What is next in 45, 103, 171, 255, 361? 495 What comes next: 482, 481, 480? 479 What is the next term in -790, -793, -796, -799, -802? -805 What comes next: 192, 162, 120, 60, -24, -138, -288? -480 What comes next: 21, 21, 19, 15, 9, 1? -9 What is next in 3, 13, 51, 135, 283? 513 What is the next term in 1658, 1657, 1658, 1661, 1666, 1673, 1682? 1693 What comes next: 20022, 20021, 20020, 20019, 20018, 20017? 20016 What comes next: 7, 15, 25, 37, 51? 67 What comes next: -6, -9, -20, -45, -90? -161 What is the next term in -5, 17, 71, 169, 323, 545, 847, 1241? 1739 What is the next term in 192, 390, 592, 798, 1008, 1222, 1440? 1662 What is the next term in -350, -362, -390, -440, -518? -630 What is the next term in 88, 122, 92, -8, -184, -442? -788 What comes next: -75, -81, -83, -81? -75 What is next in -1355, -1360, -1367, -1376, -1387, -1400? -1415 What is the next term in -41, -81, -119, -155? -189 What is next in 47, 61, 73, 83, 91, 97? 101 What comes next: -149, -110, -71? -32 What comes next: -229, -241, -253, -265, -277? -289 What comes next: -184, -172, -144, -94, -16, 96? 248 What is next in -153, -304, -455, -606, -757? -908 What is next in 76, 97, 118, 139, 160? 181 What is next in -321, -1283, -2889, -5145, -8057? -11631 What is next in 59, 65, 75, 89, 107, 129? 155 What is next in 440, 471, 502, 533, 564, 595? 626 What is the next term in 78, 76, 74, 72, 70, 68? 66 What comes next: 164, 327, 490, 653? 816 What is next in 16, 20, 24, 28, 32, 36? 40 What is the next term in -1265, -1259, -1251, -1241, -1229, -1215? -1199 What is next in 102, 206, 312, 420? 530 What is the next term in 50, 100, 150? 200 What comes next: 133, 113, 93, 73, 53, 33? 13 What comes next: -20, -14, -6, 4, 16? 30 What is next in 50, 73, 88, 89, 70, 25? -52 What comes next: -279, -564, -863, -1182, -1527, -1904, -2319, -2778? -3287 What is the next term in 425, 439, 453? 467 What is the next term in 104, 125, 146, 167? 188 What is next in -858, -861, -866, -873, -882, -893, -906? -921 What is the next term in -101, -78, -19, 94, 279, 554, 937? 1446 What is the next term in 161, 157, 151, 143, 133, 121? 107 What is next in -3416, -6831, -10246? -13661 What is the next term in 959, 994, 1029, 1064? 1099 What is the next term in 4, 21, 80, 205, 420, 749? 1216 What is the next term in 658, 2620, 5890, 10468, 16354? 23548 What is next in 9, 118, 229, 342? 457 What is next in -2, -17, -58, -143, -290? -517 What is the next term in -13, -44, -89, -148? -221 What is the next term in -135, -549, -1231, -2175, -3375,
{ "pile_set_name": "DM Mathematics" }
/(-36))/(6/(-27)))? 0 What is the value of -1*1*3*54/81? -2 Evaluate (6/4)/((-99)/(-12)). 2/11 Evaluate (4/1)/16*(-380)/(-57). 5/3 What is ((-1)/33)/((-1)/(-2*3))? -2/11 Evaluate (6/(-70))/((-294)/(-1029)). -3/10 ((0/7)/(-5))/(-1*1) 0 Evaluate ((-1)/(-2))/((-25)/10). -1/5 Evaluate 4/4*6*(-1)/3. -2 What is (4/8)/(3*3/(-72))? -4 What is (20/80)/((-10)/(-24))? 3/5 What is ((-7)/70*5)/(2/(-4))? 1 What is -3*3*(-4)/12? 3 Evaluate (9/(-15))/((-1)/(-5)*-1). 3 (-1)/(-1)*(-14)/49*-7 2 Evaluate (-1736)/186*3/(-4). 7 What is the value of ((-6)/(-9))/((-2)/(72/(-6)))? 4 What is the value of ((-6)/(-3))/((-6)/3)? -1 (12/140)/(5/(150/18)) 1/7 Evaluate (2/(-45))/(10/(-45)). 1/5 What is 9/1836*-18*2/3? -1/17 What is the value of (-9)/12*68/17? -3 What is the value of (10*-1*116/(-145))/14? 4/7 (-2)/(-1)*2*24/(-16) -6 What is the value of ((-20)/14)/(6/(-21))? 5 Calculate (-4)/(-10)*(-9)/(-12)*-2. -3/5 Evaluate 4/1*9/((-891)/(-9)). 4/11 -7*3/(-252)*-4 -1/3 Calculate (-2)/(-5)*25/5. 2 Evaluate -4*(-7)/168*-4. -2/3 Calculate ((-6)/8)/(-2*15/(-16)). -2/5 Calculate ((-1)/(-21))/((-1)/3). -1/7 What is 30/(-69)*(-42)/210? 2/23 (-20)/6*(-6)/4 5 2/(-8)*32/40 -1/5 Calculate (-63)/336*6/3. -3/8 What is (5/(-3))/(2/(-2))? 5/3 Evaluate -3*24/(-18)*-1. -4 Evaluate ((-4)/(-5))/(1394/(-205)). -2/17 Evaluate ((-5)/(-7))/((-27)/252*-8). 5/6 Calculate ((-452)/339)/((-22)/(-3)). -2/11 Calculate 2/((12/105)/(8/20)). 7 What is the value of ((-188)/(-846))/((2/3)/(-1))? -1/3 (315/1050)/(1/10*-2) -3/2 Calculate 11/((-143)/39)*(-1)/3. 1 Calculate (0*6/18)/(-1). 0 What is (8/(-28)*1)/(24/(-7))? 1/12 Calculate (3/(-1))/(6/(-6)*1). 3 What is 20/14*(-64)/320? -2/7 What is ((-2)/6)/((-42)/(-378))? -3 What is (-9)/2*(-4)/12? 3/2 What is 2*5*112/112? 10 What is 2/7*(-28)/48? -1/6 What is ((-2)/(-2))/((-49)/(-28))? 4/7 What is (-2)/(-1)*(-11)/(-44)? 1/2 What is the value of 5/9*2*1/(-5)? -2/9 Calculate ((-24)/4)/42*3. -3/7 What is the value of ((-46)/115)/(7/70)? -4 What is 2*6/(-20)*5? -3 Calculate 0/(-2)*2*(-4)/16. 0 What is 6/(-21)*-2*12/(-48)? -1/7 What is -3*(21/(-30))/(-7)*2? -3/5 ((-2)/(-8))/1*2632/(-94) -7 What is the value of ((-2)/(-5))/((-21)/105)? -2 Evaluate (7/((-525)/(-10)))/(12/30). 1/3 What is the value of (-4)/(-220)*(-200)/60? -2/33 (-60)/(-72)*(-27)/(-15) 3/2 What is the value of (3/(-4))/((-23)/(-184))? -6 Calculate 6/((48/(-8))/(-3)). 3 -5*1*(-9)/(-135)*9 -3 What is ((-2)/40)/(2*(-2)/16)? 1/5 Calculate ((-14)/245*-7)/((-2)/3). -3/5 Calculate 7/14*0*1/2. 0 What is (1/(-1))/((-8)/16*2)? 1 Evaluate ((-7)/(-35))/(((-18)/(-15))/3). 1/2 What is the value of (((-54)/4)/3)/(162/(-108))? 3 (3/(-4))/((-57)/(-38)) -1/2 What is 0/((-4)/(-11)*198/36)? 0 What is (-1)/5*1*21/7? -3/5 What is the value of ((-4)/(-90))/((-3)/15)? -2/9 Calculate 327/218*2/6*-4. -2 Evaluate (-36)/(-63)*(-3)/(-6)*7. 2 Calculate (0/(-4)*(-4)/8)/1. 0 (-5)/(-3)*42/70 1 Evaluate ((-1)/(19/(-2)))/(-1). -2/19 (6/63)/(5/(30/4)) 1/7 Calculate (-6)/21*(-63)/6. 3 Evaluate (20/8)/(((-1)/4)/(-1)). 10 What is the value of (-3*(-2)/105)/(40/(-600))? -6/7 What is the value of (-70)/35*(-21)/18*-3? -7 What is the value of (-2)/(4*6/8)? -2/3 Calculate (8/52)/((-13)/(-169)). 2 What is (-4)/2*(-1)/((-3)/(-6))? 4 0*(-2)/(-10)*(-130)/(-26) 0 What is the value of 13*(-12)/(-312)*8? 4 (60/(-10))/((-6)/9) 9 Evaluate (-915)/4941*1/((-10)/(-4)). -2/27 What is 1/(-3)*2*(-3)/1? 2 What is ((-8)/(-4))/(42/12)? 4/7 What is 20/250*5/4*2? 1/5 What is ((-8)/10)/((-42)/(-30))? -4/7 Calculate ((-1)/(-7))/(10*8/140). 1/4 What is ((-4)/(-8))/((-605)/(-440))? 4/11 Calculate (72/4)/(-3)*1/(-45). 2/15 What is 22/33*30/(-4)? -5 Evaluate (1/(-4))/((-3)/(-9)). -3/4 Evaluate (4/20)/(7/(-70)). -2 -2*(-4)/10*10/68 2/17 Evaluate (4/(-36))/((-3)/18)*-3. -2 What is the value of (-147)/(-14)*(-16)/(-24)? 7 What is the value of 1*(-5)/40*-12? 3/2 Evaluate 3/((1/2)/((-1)/(-2))). 3 Evaluate 2*(-20)/12*3/(-15). 2/3 (((-32)/(-4))/(-64))/(-1)*88 11 Evaluate (-1*(-36)/585)/(2/(-5)). -2/13 What is (((-3)/(-2))/1)/(9/(-24))? -4 What is 1/(-6)*4*(-6)/(-14)? -2/7 Evaluate (((-4)/4)/(1/1))/1. -1 Calculate 17/(-85)*(-5)/1*-2. -2 Calculate ((-423)/705)/(((-18)/(-20))/(-3)). 2 What is the value of ((1/(-6))/1)/((-68)/(-51))? -1/8 Evaluate (-182)/26*2/(-7). 2 ((-8)/(-14))/(2/7) 2 Calculate ((-4)/12)/(((-33)/36)/11). 4 What is the value of ((-2)/2)/((-2)/(-4)*1)? -2 ((-2)/(132/11))/((-1)/4) 2/3 What is (-168)/1386*3/2? -2/11 Evaluate 36/(-8)*(3/(-3))/(-3). -3/2 Evaluate 5/5*-2*(-3)/(-14). -3/7 5/((-25)/10)*4 -8 What is the value of ((-6)/4)/(-6*(-33)/48)? -4/11 ((-92)/(-207))/((-2)/12) -8/3 6*2*3*7/63 4 (9/(-27))/((-3)/(-36)) -4 What is the value of (-1)/((-7)/(-7))*-1? 1 Calculate (5/(-12))/(1*(-8)/(-16)). -5/6 Calculate 3/(-1)*(-12)/(-48). -3/4 3*2/(-8)*(-15)/90 1/8 Evaluate 2/(-1)*(-5)/30. 1/3 Calculate 32/(-8)*(6/28)/3. -2/7 Calculate 8/(-14)*(-623)/445. 4/5 What is the value of (((-1196)/207)/(-26))/((-8)/6)? -1/6 Calculate 0/2*60/(-240). 0 -2*12/32*4/(-6) 1/2 Evaluate (-8)/15*(-8)/32. 2/15 Calculate 0*(-8)/48*3. 0 What is ((-8)/((-64)/(-4)))/((-14)/12)? 3/7 Evaluate (17/(-238))/((180/16)/(-9)). 2/35 (-15)/(-6)*(3/(-1))/15 -1/2 Calculate (66/(-55))/(8/20). -3 ((-3)/9)/(2*1/(-2)) 1/3 ((-13)/(-52))/((-35)/20) -1/7 Evaluate (-8*(-2)/(-12))/((-40)/12). 2/5 Calculate (-3)/2*18/(-36). 3/4 Evaluate (-2*1)/(-2)*(-18)/9. -2 What is 2/((-4)/5*(-30)/12)? 1 Evaluate 9/2*11*14/462. 3/2 Evaluate (-1)/(9*3/54). -2 What is (50/(-75))/(2/9)? -3 Calculate -1*12/(-45)*(-6)/16. -1/10 (4/(-30))/((-8)/(-24)) -2/5 Evaluate 3/(-19)*-1*16/(-24). -2/19 Evaluate 1/((8/(20/5))/(-2)). -1 What is 3/2*(-10)/(-25)*5? 3 Calculate -2*6/36*6. -2 Calculate 12/(-3)*10/(-140). 2/7 Evaluate (-16)/40*15/(-10). 3/5 What is (-1)/((-24)/(-32))*3/22? -2/11 Calculate (3/(-7))/((-3)/(-3)*1). -3/7 What is -5*(-1)/((-1)/(2/2))? -5 Evaluate (4/105)/((-76)/(-190)). 2/21 Calculate (2/2)/(((-40)/15)/(-8)). 3 (-5)/2*(-3)/(-45) -1/6 (1/2)/(16/(-96)) -3 Calculate 5*(-1)/(-4*25/(-180)). -9 Evaluate 100/(-40)*2*(-10)/(-25). -2 What is ((-10)/(-5))/(-2)*-1? 1 What is the value of (-9)/(360/56)*(-2)/(-14)? -1/5 What is the value of (12/(-16))/((-33)/440)? 10 What is (6/84)/((-6)/72*-6)? 1/7 Evaluate 14/4*(-44)/(-77). 2 -1*3/3*8/8 -1 What is the value of (13/(-39))/((-25)/(-15))? -1/5 Evaluate 4/((-8)/(-3))*2. 3 What is the value of 2/(4*4/12)? 3/2 Calculate (0/(-12))/((-10)/2). 0 Evaluate (12/(-8))/(23/(46/12)). -1/4 Calculate ((-2715)/(-362))/(10/4). 3 Evaluate (0/3)/3*2/2. 0 Calculate -1*((-2)/(-4))/((-60)/(-24)). -1/5 What is the value of ((-6)/8)/((-1116)/(-496))? -1/3 Calculate (-3)/(-18)*(-16)/(-12). 2/9 What is 3*4/(-48)*(-48)/30? 2/5 Calculate ((-205)/(-41))/(1/2*2). 5 Calculate 21*(-5)/15*-1. 7 (-6)/(144/(-3))*3 3/8 Evaluate 130/(-52)*28/(-20). 7/2 (3/(-2))/((-18)/12) 1 Calculate ((-9)/12)/((-78)/16). 2/13 What is the value of (2/(-6))/((-3)/(-18))? -2 What is the value of (1/3)/(10/60)? 2 4*-1*43/172 -1 What is (11/(-66)*-4)/(3/(-2))? -4/9 What is (8*(-2)/(-40))/((-1)/10)? -4 What is the value of 3/(-8)*-4*(-5)/(-30)? 1/4 What is the value of ((-4)/(-7))/(7/((-343)/14))? -2 (30/(-12))/(15/(-6)) 1 Evaluate (-3*(-2)/3)/(198/(-22)). -2/9 What is the value of ((-2)/22)/((-12)/24)? 2/11 Calculate 1/((-49)/((-35)/(-5)))*2. -2/7 What is the value of 45/(-30)*(-4)/2? 3 Calculate 224/(-64)*2/7. -1 What is ((-2)/(-6))/(14/12)? 2/7 What is ((-32)/(-40))/((-36)/(-10))? 2/9 (-28)/(-6)*((-69)/2)/(-23) 7 Calculate -11*(-5)/22*(-12)/10. -3 2/(-8*(-5)/80) 4 (18/3)/24*(-4)/(-1) 1 ((-25)/((-900)/(-168)))/(6/9) -7 Calculate (-3*2/(-3))/(32/48). 3 Calculate (-9)/5*(-90)/108. 3/2 What is (2/10)/(71/(-710))? -2 Evaluate (-8)/2*(-180)/(-90). -8 (-2)/((-60)/9)*30/(-36) -1/4 3*2/30*-1 -1/5 (-4)/(9*8/108) -6 Calculate (2/(-40))/((-7)/(315/(-18))). -1/8 ((-2)/18)/((-8)/(-48)) -2/3 What is (24/(-10))/3*-5? 4 What is ((-80)/(-720))/(((-1)/6)/1)? -2/3 What is (-1)/6*4*(-3)/14? 1/7 What is the value of ((-245)/(-147))/((-2)/(-6)*-1)? -5 ((-596)/(-447))/((-2)/3) -2 Calculate ((120/18)/20)/((-14)/18). -3/7 Calculate (4/(-42))/((-45)/(-105))*9. -2 Evaluate ((-8)/4)/((-3)/45*5). 6 Calculate ((28/(-90))/(-7))/((-10)/30). -2/15 20/(-35)*1/2 -2/7 Calculate 800/750*3*(-1)/4. -4/5 Evaluate (23/92)/(14/16). 2/7 What is the value of (-7)/(-77)*(-2)/1? -2
{ "pile_set_name": "DM Mathematics" }
)**(-1))**7)**16 assuming c is positive. c**(-224) Simplify ((k/k**(-4/5))/k**10*k**(-6)*k/(k/(k**(5/8)*k)))**(-24) assuming k is positive. k**(1509/5) Simplify (((g*g/g**(5/7))**(25/4))**27)**(-1/13) assuming g is positive. g**(-6075/364) Simplify (x/(x*(x**(-6)/x)/x*x)*x**(-24))**(-2/13) assuming x is positive. x**(34/13) Simplify (u*(u**(-1/28)*u)/u*u*u*u**(-8/7))**(9/7) assuming u is positive. u**(459/196) Simplify (y**(-2/53)*y/y**(-2))/(y**(8/9))**(-30) assuming y is positive. y**(4711/159) Simplify (o**(-8/7))**(-37)*(o**(1/10)/o)/(o/o**19) assuming o is positive. o**(4157/70) Simplify ((q/(q/((q*q*q**(-2/3)/q*q*q)/q)))**(7/5)/(q**(-2/21)/(q*q*((q*q/(q*q/q**0))/q)/q)))**(-23) assuming q is positive. q**(-4738/105) Simplify (s**10)**(-28/3)/((s*s**(2/71))/(s/(s/(s**39*s)))) assuming s is positive. s**(-11579/213) Simplify ((o**(2/3)*o)/o)/(o/o**(1/3))*(o/(o/o**(-4/7)*o))**(2/43) assuming o is positive. o**(-22/301) Simplify (b/b**(-3/8)*b**(-4)*b**1*(b/b**(-2))/b)**26 assuming b is positive. b**(39/4) Simplify (f**(6/5))**0*(f**(-2/7))**(-22) assuming f is positive. f**(44/7) Simplify (o*((o*o**(-18))/o)/o*o**(-2/19))/((o*((o/o**35)/o)/o)/o*o*o**35) assuming o is positive. o**(-344/19) Simplify d**30*d/(d*d**(4/3))*(d**(-2/5))**18 assuming d is positive. d**(322/15) Simplify ((c/(c**16*c*c))/c*c*c/(c*c**(-3)))/((c/(c/c**16*c))/(c**(-8/9)/c)) assuming c is positive. c**(-278/9) Simplify (((t**2*t)/t**(12/7))**(-32))**(-28) assuming t is positive. t**1152 Simplify p**(-19)/(p/(p/p**6))*(p**(2/19)*p)/(p**0*p) assuming p is positive. p**(-473/19) Simplify (n/(n*n**(1/7)))**(-37)/((n*n**(-1/8)*n)/n*n*n**(-10)) assuming n is positive. n**(751/56) Simplify (q**20*q*((q/(q**0/q)*q)/q*q)/q)/(q/q**11*q**(-13)) assuming q is positive. q**46 Simplify (w**10*w**(-1/19))/(w*w**(-3/7)*w**(-9/4)*w) assuming w is positive. w**(5653/532) Simplify ((g*g*g**(20/3)/g)/(g/(g*g*g**(-3/23))))**(1/6) assuming g is positive. g**(589/414) Simplify (((y*y**(2/41)*y)/y)/y**(-28))**(4/15) assuming y is positive. y**(1588/205) Simplify ((t/((t*t/t**3)/t*t))**1)**45 assuming t is positive. t**90 Simplify (((t*t/(t/(t/((t/(t/(t*t/(t/(t**(2/3)/t)))*t))/t))))**26)**(16/11))**(-2/89) assuming t is positive. t**(-8320/2937) Simplify i**(-3/10)*i*i/(i/(i/(i/i**23)))*i**(15/8)*i**30*i*i assuming i is positive. i**(2303/40) Simplify y/(y*y**(1/3))*y**(-2/19)*y*y**11/(((y**(1/4)/y)/y)/y*y) assuming y is positive. y**(3035/228) Simplify z**(-7)/(z/(z*z**(-11)))*(z*z**(-4))/z*z**(-6)/z assuming z is positive. z**(-29) Simplify (u*u/u**(-4)*u)/(u/(u/(u*u**(-1/4)/u))*u)*u**(-12)/u*u*u*u/(u/u**(-1/5))*u assuming u is positive. u**(-79/20) Simplify (((j*j**4)/j**(-3/2))**(5/11))**(-10) assuming j is positive. j**(-325/11) Simplify (((b/(b**(1/20)*b))/((b/b**(-2/45))/b*b))**(-1/21))**(-34) assuming b is positive. b**(-3349/1890) Simplify (i**29*i*i**12/i)**32 assuming i is positive. i**1312 Simplify (j**2)**(-15)/((j*j**(-3))/(j/(j*j*j*j**(-1/5)))) assuming j is positive. j**(-149/5) Simplify ((((v*(v/(v**(2/7)/v*v*v))/v*v)/v)**(-23))**(-32))**(-38) assuming v is positive. v**(55936/7) Simplify z**(-4/17)*z**(-17)*z*z**27*z*(z/z**17)/z assuming z is positive. z**(-89/17) Simplify (u/u**(-14))**(2/11)/((u*(u*u**(-2/41))/u)/u*u**(-1/14)) assuming u is positive. u**(17979/6314) Simplify ((m**1*m)/m)**(-35/2)*m**(1/4)/((m*m**(2/3))/m) assuming m is positive. m**(-215/12) Simplify ((u**0/(u/(u**(4/5)/u)))**38)**(11/2) assuming u is positive. u**(-1254/5) Simplify (n**(-1)/n)**(-34)*n**33/(n**(2/13)/n) assuming n is positive. n**(1324/13) Simplify (t**(-2)/(t*t**(-3)*t*t))/(t**8*t**(-4)/t) assuming t is positive. t**(-5) Simplify v**(-3/20)*v*v/(v**13/v)*v**(-1/7)/(v*v/(v*(v*v**(-16))/v*v)) assuming v is positive. v**(-3681/140) Simplify ((l*l**22)/(l**(-1/20)*l))**(-1/2) assuming l is positive. l**(-441/40) Simplify ((h/((h*h*h/(((h*h**(-9)*h)/h*h*h)/h)*h)/h)*h**1)/(h**(1/3))**20)**9 assuming h is positive. h**(-132) Simplify (a**(1/3))**(6/23)/(a**(1/3)/a**(-9)) assuming a is positive. a**(-638/69) Simplify (p**(4/9)*p*p**(-1/4)*p/p**(-3)*p/(p*p*p**2*p*p*p*p))**46 assuming p is positive. p**(-1495/18) Simplify (((f**4)**45)**(1/24))**(-4/21) assuming f is positive. f**(-10/7) Simplify ((x/(x*x**2*x))**(3/2)*x**(-1)/(x*x*x**3*x*x))**(-18) assuming x is positive. x**225 Simplify (v**(-1/5)/(v/(v/v**(-5)*v))*v*v**(-3/10)*v*v*v**0)**(-44) assuming v is positive. v**(-374) Simplify (o**(-10/3)*o)/o*o**(-25)*o**(11/3)/((o*o**11)/o*o) assuming o is positive. o**(-110/3) Simplify l*l*l*l**(4/7)*l*l**10*l/l**(4/7)*l**10 assuming l is positive. l**25 Simplify (((h**1)**30)**(-40))**(-27) assuming h is positive. h**32400 Simplify ((j**2/j)**(7/5)/(j**(-1/5))**35)**(-12) assuming j is positive. j**(-504/5) Simplify (g**1)**(-11/2)/((g*g*(g**9*g)/g*g*g)/(g**(2/9)*g)) assuming g is positive. g**(-311/18) Simplify (m**(-2/7))**(-46)/((m/(m**(-6)/m))/m**(-1/14)) assuming m is positive. m**(71/14) Simplify ((q**(-2/3))**(-40)/(q*q*q**(-1))**(30/11))**(-14) assuming q is positive. q**(-11060/33) Simplify (y**(-1/7)/(y*y/y**0)*(y**(-1/4))**(-25))**26 assuming y is positive. y**(1495/14) Simplify (((i/(i**4*i))/i*i**(2/5)*i)**(-28))**(-25/2) assuming i is positive. i**(-1260) Simplify (r*(r*r/(r/r**(-16/7)))/r)/r**(-18)*r**(-1/4)*r*r*r*r**(3/4) assuming r is positive. r**(283/14) Simplify ((v**5*v*v**(2/9))**35)**18 assuming v is positive. v**3920 Simplify t*t**(-5)*t**(2/9)*t**(-1/15)/t**6 assuming t is positive. t**(-443/45) Simplify n*n*n*n**(-2/3)*n**(-18)*(n*n*n*n**(-5)*n)/n**(-3/26) assuming n is positive. n**(-1291/78) Simplify ((n*n**9)/(n*n*(n**(2/15)/n)/n*n)*(n/(n*n/n**(-6/11)))/((n*n**3)/n*n))**(-24) assuming n is positive. n**(-4384/55) Simplify (u*u**(-23))/u**(-18)*u*u*u**7*u*u*u/u**28*u assuming u is positive. u**(-19) Simplify y*y**(-7/5)*y**7*(y/(y*y**(-1)*y*y))/(y/(y*y**8)) assuming y is positive. y**(68/5) Simplify (v/v**(-2/5)*v**5*(v*v*v**(1/9)*v*v)/v*v*v**(2/23))**(-1/4) assuming v is positive. v**(-10969/4140) Simplify (l**(-2/23)/l)**5/((l**1/l*l)/l)**11 assuming l is positive. l**(-125/23) Simplify i**10*i/(i*i*i**(-1))*(i*i**(1/16))/((i*i**10)/i) assuming i is positive. i**(17/16) Simplify (k*k**(-9))/(k**(2/7)*k)*k*k**(3/10)*k*(k/(k*k**(-7)*k))/k assuming k is positive. k**(-139/70) Simplify (c**(-2/5)/((c**(-3)/c)/c)*(c**(2/9)*c)/c*c**(-2))**(-1/8) assuming c is positive. c**(-127/360) Simplify ((u/(u*u**(-7)))/u)**(-6)/((u*u/(u/(u*u*u*u*(u/((u**(-3)*u)/u))/u*u*u)))/(u**(-2)*u)) assuming u is positive. u**(-47) Simplify (v**(-3))**(3/4)*(v/v**14)/(((v*v/v**(9/7)*v*v)/v)/v*v) assuming v is positive. v**(-475/28) Simplify (l**(-13)*l*l**(-4))**(-2/3) assuming l is positive. l**(32/3) Simplify z**(-16)*z*z**28*(((z/z**(-13/6))/z)/z)/z**(2/99) assuming z is positive. z**(2801/198) Simplify (((h**(-10)*h)/h)/h)/h*h*h/h**(-2)*(h*(h/((h/((h/((h/(h**5/h))/h))/h))/h))/h)**(-27) assuming h is positive. h**(-143) Simplify ((t**(-1)*t/(t*t*t**(5/6)*t*t))/(t/t**(-3/2)*t**4*t))**(-4/19) assuming t is positive. t**(148/57) Simplify ((n*(n*n/n**(-29)*n)/n)/n**(-17))/(n**(-4))**(-40) assuming n is positive. n**(-111) Simplify (n**(-4/3))**(-8)*(n**(-3))**(-13) assuming n is positive. n**(149/3) Simplify (d**9*d)**49*(d*d/d**(3/8)*d)/d*d*d*d/(d*d*d**17)*d*d*d*d assuming d is positive. d**(3837/8) Simplify (((s**1*s)/s**(-1/6))/(s**(-3/5)/(s/s**(-2))))**(1/24) assuming s is positive. s**(173/720) Simplify (x**(2/23)*x/(x**(6/5)*x)*x)**(-43) assuming x is positive. x**(559/115) Simplify (q**(-1)/q*q*q**(1/2))**36 assuming q is positive. q**(-18) Simplify (d**7/d*d**(3/4)*(d**(1/7)/d)/d*d*(d/((d**(-4)*d)/d))/d)**(-9) assuming d is positive. d**(-2493/28) Simplify (d/(d*d**(14/3)/d)*d**(-23)*d)**40 assuming d is positive. d**(-3080/3) Simplify ((q**(-2/13)*q/(q**(-1/2)*q)*q)/(q**(1/2))**(16/3))**(-13) assuming q is positive. q**(103/6) Simplify c**(5/4)*c**(-2/7)*(c*c**(-1/22)/c)**(-8) assuming c is positive. c**(409/308) Simplify (((u*u*u**(-1/3)*u)**(-14/5))**8)**(-1/7) assuming u is positive. u**(128/15) Simplify (k**(1/5)*k)/k**(-12)*k/(k**(2/61)*k)*k*k**5*k assuming k is positive. k**(6151/305) Simplify ((a**(-1/2)/(a*a**(-5)))**(-2/81))**(4/23) assuming a is positive. a**(-28/1863) Simplify
{ "pile_set_name": "DM Mathematics" }
Let i(p) = -13*p**3 - p**2 - 2*p - 1. Let c(u) = 7*u + 14. What is the remainder when c(3) is divided by i(-1)? 9 Suppose -o = -5*o + 100. Let d = o + -4. Suppose 5*r - 55 = -0*r. Calculate the remainder when d is divided by r. 10 Suppose -4*u + 0*x = 4*x + 100, 5*u + x = -137. Let k = -9 - u. What is the remainder when k is divided by 11? 8 Let t = 39 - 32. Suppose -g + 5*w = 2 + 6, 4*g - 16 = -4*w. Suppose 118 = 7*d - 3*d + g*o, 4*o = -d + 47. What is the remainder when d is divided by t? 6 Suppose -3*x = -v - 66 - 14, -5*x - 5*v + 100 = 0. What is the remainder when x is divided by 14? 11 Let p(f) = f**3 + 12*f**2 - 12*f + 15. Let g be p(-13). What is the remainder when (2 + -1)*0 - -2 is divided by -3*(2/(-3))/g? 0 Let q be 125/3 + (-1)/(-3). Suppose -q = -5*s + 2*s. Calculate the remainder when 26 is divided by s. 12 What is the remainder when ((-3)/9)/((52/168)/(-13)) is divided by 7? 0 Let n(u) = -5*u + 1. What is the remainder when 7 is divided by n(-1)? 1 Let h = 119 + -51. Let o = h + -45. What is the remainder when o is divided by 8*(-3 + 27/6)? 11 Suppose 0*u + 132 = 4*u. Suppose -2*f + 5*f - u = 0. Calculate the remainder when 20 is divided by f. 9 Let j = -38 + 71. Suppose -6*d - j = -d - 2*o, -5*o = 4*d. What is the remainder when 16 is divided by (13 - -2)*(-3)/d? 7 Let b(p) = 4*p - 9. What is the remainder when 30 is divided by b(5)? 8 Calculate the remainder when 25 is divided by (-3 + 15/10)*(-8 - -2). 7 Let f = 34 + -24. What is the remainder when f is divided by 5? 0 Let d = 5 - -81. Calculate the remainder when d is divided by 32. 22 Let v(g) = g**2 - 2*g - 6. Suppose 6*r + 5*j = 2*r + 23, -r + 14 = 4*j. Calculate the remainder when v(4) is divided by r. 0 Let c(n) = -n**2 - 6*n - 9. Let r be c(-6). Let o be (-3 - 6/(-2)) + 15. Let u = o + r. Calculate the remainder when 21 is divided by u. 3 Let q be (20/(-6))/(4/(-6)). Suppose 3*p + j - 73 = 0, p + q*j = j + 39. Suppose -2 = 3*g - p. What is the remainder when 13 is divided by g? 6 Let w = 25 + -36. Let k be (10 - 14)/((-2)/11). Let d = w + k. Calculate the remainder when d is divided by 3. 2 Suppose -p = -26 - 42. Suppose -4*f + 2*o + p = 0, 51 = 3*f + 3*o - 0. What is the remainder when f is divided by 10? 7 Let o(u) = -4*u**3 - 4*u**2 - 3*u. What is the remainder when 63 is divided by o(-2)? 19 Let g(q) = -5*q**2 + 4*q + 5. Let j be g(-4). Let b = j + 149. Let l(y) = y**3 + 3*y**2 - 5*y + 16. Calculate the remainder when b is divided by l(-4). 18 Calculate the remainder when 105/3 + 3 + 0/4 is divided by 14. 10 Suppose -2*r - 81 = r. Let l = 47 + r. Calculate the remainder when 79 is divided by l. 19 Let c(t) = 3*t + 16. What is the remainder when 23 is divided by c(-4)? 3 Let s = -37 + 55. Suppose -4*f - 3*a - 37 = -1, -a - 8 = f. What is the remainder when (-405)/f + (-2)/(-8) is divided by s? 16 Let o(l) be the first derivative of l**2/2 - 2*l - 2. Let k be o(-2). Calculate the remainder when 1 + (k - -2) + 45 is divided by 15. 14 Suppose -4*y + 0*a - 2*a - 126 = 0, 3*a + 15 = 0. Let j = -20 - y. Suppose -125 = -j*k + 4*k. Calculate the remainder when k is divided by 9. 7 Let w(a) = 2*a**2 - 7*a - 8. Let j be -5*((-18)/(-5))/(-3). What is the remainder when w(j) is divided by (-2 + -4 + -2)/(-1)? 6 Let c = 40 + -15. Calculate the remainder when 47 is divided by c. 22 Let u(p) be the first derivative of -p**4/4 + 10*p**3/3 - 7*p**2/2 + 18*p + 9. What is the remainder when u(9) is divided by 10? 6 Suppose -34 = 4*n + 14. Let t = 80 - n. What is the remainder when t is divided by 31? 30 Let n = 131 + -80. Suppose -3*s = 4*p - n, -4*s + 5*s + 23 = 2*p. Calculate the remainder when 47 is divided by p. 11 Let u = 79 + -73. Let i = -2 + 3. Suppose -h + i = -u. What is the remainder when 20 is divided by h? 6 Suppose 2*c + 0*c - 5*h + 20 = 0, -c - 3*h = -12. Suppose -3*n - 34 = -r, c = r - 5*n - 48 + 10. Calculate the remainder when r is divided by 50/4*32/40. 8 Suppose -i - 2*n = 3, i = -i - 3*n - 2. Suppose 3*d = -3*r + 2*r + 19, -i*d + 45 = 5*r. What is the remainder when 6 is divided by r? 2 Suppose 0 = -3*f + 96 + 141. What is the remainder when f is divided by 27? 25 Let f = 24 - 16. Let g = 3 - 1. Suppose -g*k + 2*p + 37 = 5*p, 3*p = 9. What is the remainder when k is divided by f? 6 Let q be (3/(-2))/(3/(-4)). Calculate the remainder when 7 is divided by q - (-1 + 1) - -1. 1 Let m = 5 - 1. Let k(z) = -10*z. Let t(w) = w. Let f be t(-1). Calculate the remainder when k(f) is divided by m. 2 Suppose 2*b + 4 = 2*x + 46, 0 = 2*x - 5*b + 42. Let c be (-72)/(4 + -2) - -2. Let t = x - c. Calculate the remainder when 38 is divided by t. 12 Let q = 13 + -8. Calculate the remainder when 14 is divided by q. 4 Suppose 0 = y - 34 + 2. What is the remainder when 93 is divided by y? 29 Let y(l) = 3*l - 4*l + 1 + 5. Let z be y(-6). Suppose -z + 76 = 4*a. What is the remainder when a is divided by 9? 7 Let g = 13 + -6. Suppose y + g = 2*y. Calculate the remainder when y is divided by 3. 1 Let o be (-3)/(-5) + (-804)/(-10). Let m = o - 43. What is the remainder when m is divided by (2 + 6/(-4))*26? 12 Suppose 4*q + 4*k - 3*k - 19 = 0, 4*q - 7 = 3*k. What is the remainder when 15 is divided by q? 3 Suppose -3*c - 34 + 154 = 0. What is the remainder when c is divided by 22? 18 Let k(q) = 3*q**2 + 6*q - 4*q**2 - 6 - 20*q. What is the remainder when k(-7) is divided by 15? 13 Let r = 65 - 7. What is the remainder when r is divided by 15? 13 Let z = 4 - -10. Suppose a - z = -a. What is the remainder when 13 is divided by a? 6 Calculate the remainder when (-1)/2*(-18 - 128) is divided by 19. 16 Suppose 4*m + 48 = 5*m. Let i = m + -10. What is the remainder when i is divided by 13? 12 Suppose -10 + 265 = q. Suppose 0 = -3*n - 2*n + q. Calculate the remainder when n is divided by 13. 12 Let w = 8 - -2. Suppose j + 0*j - 5 = 0. Calculate the remainder when ((-18)/w)/(1/(-5)) is divided by j. 4 Suppose 0 = -0*f - 4*f + 52. Suppose 0 = -r + 5*u - 7, -5*r + 43 = -2*r + u. Let i = r + -8. Calculate the remainder when f is divided by i. 3 Let c(s) = 9*s - 2. Let q = -55 - -33. Let k = 31 + q. Calculate the remainder when c(2) is divided by k. 7 Suppose -15 = 7*o - 8*o. What is the remainder when o is divided by 9? 6 Let n(l) = 7*l - 16. Calculate the remainder when n(7) is divided by 17. 16 Let j(k) be the second derivative of k**5/20 - k**4/12 + 11*k**2/2 + 2*k. Calculate the remainder when 32 is divided by j(0). 10 Suppose -v + 12 + 15 = 0. Suppose 0 = -a - 2*a + v. Suppose l - 2*d - 1 = 18, 4*d = -5*l + 137. Calculate the remainder when l is divided by a. 7 Let f = -5 + 21. Let t be (0/(-6 + 3))/(-1). Suppose -147 = -3*k + 3*j, t = 2*k - 4*j - 0*j - 104. What is the remainder when k is divided by f? 14 Let j(n) be the third derivative of -n**4/8 - 5*n**3/3 - 2*n**2. Calculate the remainder when j(-8) is divided by 5. 4 Suppose -4*m = 3*z - 0*z - 5, 2*m + 2*z - 2 = 0. Let d(h) = -2*h**3 - 4*h**3 + 0*h**3. What is the remainder when d(-1) is divided by m? 0 Let i be -2*(-1 - (-9)/(-6)). Suppose 150 = 3*h - i*f - 47, -4*h = 5*f - 286. Calculate the remainder when h is divided by 18. 15 Let q(n) = -n**3 + 8*n**2 - 6*n - 7. Let p be q(7). Suppose 7*f - 3*f - 96 = p. Calculate the remainder when f is divided by 9. 6 Let w(h) be the first derivative of 15*h**2 + 1. Calculate the remainder when w(1) is divided by 11. 8 Let u = 8 - 4. Let x = -2 + u. Suppose 0*r - 4*l + 10 = 3*r, -5*l + 5 = 0. What is the remainder when x is divided by r? 0 Let o = 55 - 28. Let n = 39 - o. Let c = -1 + 8. Calculate the remainder when n is divided by c. 5 Calculate the remainder when 17 is divided by (1/1)/(124/40 - 3). 7 Let i(p) = -p**2 - 15*p + 19. Let r(x) = 2*x**3 + x**2 + 2*x - 1. Let c be r(-3). Let h = c + 88. What is the remainder when h is divided by i(-15)? 17 Suppose -3*j = -4*y - 97, 5*j - 3*y + 90 - 259 = 0. What is the remainder when j is divided by 19? 16 Let t = 10 + -2. What is the remainder when t is divided by 3? 2 Let d = 50 + 0. Let m = -20 + d. Calculate the remainder when m is divided by (8/4)/2*16. 14 Let r = -59 + 86. What is the remainder when r is divided by 8? 3 What is the remainder when 4/(16/132) + 0 - 4 is divided by 15? 14 Let f(l) = 11*l - 7. Calculate the remainder when f(2) is
{ "pile_set_name": "DM Mathematics" }
e -k = 2*k - h. What is the greatest common factor of k and 121? 11 Let t(q) = q + 4. Let s(j) = -9*j - 33. Let d(y) = -6*s(y) - 51*t(y). Let n be d(4). Let a be (11/5 + -1)*5. Calculate the highest common divisor of a and n. 6 Let h = 0 + 12. Let b = 46 + 86. Calculate the highest common factor of h and b. 12 Let s(f) = -f**3 - 6*f**2 + 6*f + 12. Let g be s(-7). What is the greatest common factor of 171 and g? 19 Suppose -3*g + 6*g + 6 = -3*q, -3*q + 3*g = 0. Let d(u) = -4*u. Let s be d(q). Calculate the greatest common divisor of 4 and s. 4 Let l be 27/(-12) + (-1)/(-4). Let g be (-7)/l*(-1 - -3). Calculate the greatest common divisor of 56 and g. 7 Suppose 2*a = w + 2*w - 13, 0 = -a - w + 6. What is the greatest common divisor of 5 and a? 1 Suppose -95 = -12*o + 7*o. Suppose -y - 4*m = -o - 4, 0 = 3*y - 2*m + 1. What is the highest common divisor of y and 3? 3 Let l = 4 + -1. Suppose 0 = m - l*m - 6. Let s be -2 + (0 - -23) + m. Calculate the greatest common divisor of 144 and s. 18 Let k(u) = -4*u + 3. Let b be k(-4). Let v be 17/4 - (-1)/(-4). Suppose -y = -4*y - 5*o + 270, -v*y - 4*o = -368. What is the greatest common factor of b and y? 19 Let x(l) = l**3 + 5*l**2 - 9. Let m be x(-3). What is the greatest common divisor of m and 198? 9 Let h(m) be the first derivative of -1/3*m**3 + 4 + 0*m**2 + 72*m. Let s be h(0). What is the greatest common divisor of 9 and s? 9 Suppose b - 27 = -14. What is the highest common divisor of b and 117? 13 Let q be (399/6)/(2/4). Suppose -t = -2*r - 5 - 16, -5*r + 14 = t. Calculate the greatest common divisor of t and q. 19 Suppose -30 = 2*w - 8*w. Calculate the greatest common divisor of w and 45. 5 Let t = -171 + 196. Let d be (20/(-6))/((-2)/6). Calculate the greatest common divisor of d and t. 5 Let y = 6 - 4. Let w = -38 + 40. Calculate the greatest common divisor of y and w. 2 Let c = -62 - -121. Suppose c = 5*l - 91. What is the greatest common divisor of 20 and l? 10 Let z(g) = -2*g - 4. Let w be z(-4). What is the highest common divisor of 128 and w? 4 Let c(v) = -v**2 - 5*v + 4. Let u be c(-6). Let n = 0 - u. Suppose -18 = -2*s + 3*w, 30 + 8 = 5*s - 4*w. Calculate the greatest common divisor of n and s. 2 Suppose 2 = -a + 12. Suppose 0 = 5*m + 4*r - 180, -3*r - 81 = -m - 26. What is the highest common factor of a and m? 10 Suppose -4*n + 7 = -3*n - 3*c, -n = -4*c - 10. Let o be (220/16)/(n/(-8)). What is the greatest common divisor of o and 5? 5 Suppose -4*h = 4*p - 4, 0 = 4*h + 6*p - 3*p. Let f = 1 - h. Suppose f*u - 12 = 4. What is the greatest common divisor of u and 36? 4 Suppose -4*j + 40 = j. Suppose -m = m - j. Calculate the greatest common divisor of m and 4. 4 Let x(o) = o**2 + 4*o + 9. Let y be x(-6). Let z be (-46)/6 - (-8)/12. Let d = z + y. What is the highest common factor of d and 98? 14 Let s be 1/3 - (-56)/12. Let u = s + 11. Calculate the highest common divisor of 64 and u. 16 Let n be (0 - 1)/(1/(-3)). Calculate the greatest common divisor of n and 15. 3 Suppose 0 = -2*x - 3*x - 10. Let r be x + 7 + -1 + -1. Suppose 0 = -3*j + 2*p - r*p + 25, -4*j + 4*p = -28. What is the greatest common factor of j and 8? 8 Let v(f) = f**2 + 16*f + 14. Let r be v(-16). Calculate the greatest common divisor of 28 and r. 14 Suppose 0 = 2*q + 2*q - 12. Suppose -4*u + q*u + 32 = 0. Let r = 5 - -3. What is the greatest common divisor of u and r? 8 Let t be 0 + (100 - (0 - -2)). Calculate the greatest common divisor of t and 14. 14 Let x be -1*(-1)/2*0. Suppose 0 = 2*r + 5*b - 23 - 4, 2*r - 3*b - 19 = x. Let d be (1 + -1)*-1 - -99. Calculate the greatest common factor of d and r. 11 Let l = 3 - 5. Let d = l - -3. What is the highest common divisor of 9 and d? 1 Let w = 66 + -36. Let p be (-133)/(-9) + 4/18. Calculate the highest common divisor of p and w. 15 Let s be (-227)/(-9) - (-5)/((-90)/4). What is the highest common factor of s and 200? 25 Let i(r) = -5*r**3 + r**2 - 5*r - 6. Let z be i(-4). Suppose 4*v = -v + z. Suppose -v = -j - j. What is the greatest common divisor of 14 and j? 7 Suppose 9*m + 213 - 573 = 0. Calculate the greatest common factor of 8 and m. 8 Let l = -110 + 159. Suppose -m = -3*m + 14. Calculate the greatest common factor of l and m. 7 Let q = 34 + -18. Let t(z) be the second derivative of 175*z**4/12 + z**3/2 - z**2 + 4*z. Let c be t(1). Calculate the greatest common divisor of q and c. 16 Suppose -5*h + 130 = -25. Calculate the greatest common factor of h and 124. 31 Suppose 174 = -2*a - a. Let f be 1 - a/(2 - 0). What is the highest common divisor of f and 10? 10 Suppose 3*c + 2*f - 3 = f, -2*c + 2 = 3*f. Suppose 0 + 3 = 3*q + 2*g, 3*q + 5*g = -6. What is the highest common divisor of q and c? 1 Let z = 25 + 108. Calculate the greatest common divisor of 19 and z. 19 Suppose -3*x + 6*x - 4*s - 19 = 0, -17 = -3*x + 2*s. Suppose 89 + 46 = 3*j. Calculate the highest common factor of x and j. 5 Suppose 129 = 5*a - 146. Calculate the highest common factor of 22 and a. 11 Let o(l) = l**2 + 3*l. Let j be o(3). Suppose -m + j = -0*m. What is the greatest common divisor of m and 9? 9 Let s = 9 - 14. Let z = s - -7. Let w(v) = -v**2 - 6*v - 4. Let c be w(-4). Calculate the greatest common divisor of c and z. 2 Let x(z) = -2 - z + 2*z**3 - 4*z**2 + 4 + 2*z. Let r be x(3). Suppose -v = -0*l - 2*l - r, -l = -2*v + 49. Calculate the highest common factor of 5 and v. 5 Let r(l) = -8 + 3*l - 8*l + 9*l**2 - l**3 - l. Let c be r(6). Calculate the greatest common divisor of c and 16. 16 Let m be -1*(-2*16 - -2). Suppose 2*v - m = -3*v. Let k(p) = p**3 + 16*p**2 - 17*p + 12. Let t be k(-17). Calculate the greatest common divisor of t and v. 6 Let d be 2/(-3) - 44/(-12). Suppose -3*v + 8 = -5*a, d*v - a - 5 = -v. Let t be (v*2)/(0 + 2). What is the highest common factor of 9 and t? 1 Suppose 28 = 2*l - 5*g, 5*l - 5 = 5*g + 80. Calculate the greatest common factor of l and 19. 19 Let a be 222/4 + 4/(-8). Suppose -3*s - 7 = -a. Calculate the highest common divisor of 40 and s. 8 Let o be 4/6 - 26/(-6). Let r = -1 + o. Suppose 3*m = -3*d - 0*m + 285, 0 = d - r*m - 115. Calculate the greatest common divisor of d and 9. 9 Let q(s) be the second derivative of -5*s**3/3 + 5*s**2/2 - s. Let l be q(-5). Calculate the highest common factor of l and 5. 5 Let y = -29 - -69. What is the highest common divisor of 8 and y? 8 Let t = -8 - -22. Suppose j - 11 = 2*v, 6 = 2*j - 5*v - 11. Calculate the greatest common factor of j and t. 7 Suppose -3*r = 2 - 8. Suppose u = -r*u + 15. Let l(w) = w**2 - 2*w - 6. Let t be l(u). What is the greatest common factor of t and 1? 1 Let n = 10 + -1. Let j be 122/(-6) - (-3)/9. Let u = -11 - j. Calculate the highest common divisor of n and u. 9 Let j be 0/(-3 + 0 - -2). Suppose -v + 5 + 19 = j. What is the greatest common factor of 12 and v? 12 Suppose 55 = 4*m + 23. What is the greatest common factor of m and 112? 8 Let s(n) = n**2 - 6*n + 3. Let v be s(6). Suppose 6 = v*y + 3. Let g = y + 11. Calculate the highest common factor of 108 and g. 12 Let c(a) = 3*a - 6. Let g be c(7). Suppose 2*r + r = g. Calculate the highest common divisor of 5 and r. 5 Let o(q) = q**3 - 10*q**2 - q - 15. Let t be o(11). Let m = t - 50. Calculate the greatest common divisor of m and 5. 5 Let t(v) = -6*v. Let a be t(-3). Let o = 44 - 8. Calculate the greatest common divisor of a and o. 18 Let h(v) = v**2 - 2*v + 2. Let n be h(-6). What is the highest common divisor of n and 10? 10 Let y(n) = 22*n**3 - 2*n**2 - 3*n + 3. Let z be y(2). Let b(r) = -r**2 - 28*r - 37. Let c be b(-26). What is the greatest common factor of c and z? 15 Let a(r) = r + 1. Let f(z) = -z**2 + 17*z - 2. Let k(u) = -5*a(u) + f(u). Let o be k(11). What is the greatest common factor of 4 and o? 4 Let k = -1 - -5. Calculate the greatest common factor of k and 16. 4 Let b be 7/(63/192) + (-6)/(-9). Calculate the highest common factor of b and 2. 2 Let f(m) = 5*m**2 + 4*m + 3. Let t be f(-2). Let l = -44 + 49. Calculate the highest common divisor of l and t. 5 Let s = 4 - 2. Let h be 16/(-10) - s/5. Let t = 8 + h. What is the highest common divisor of t and 15? 3 Let j(t) = 2*t**2 + 2*t - 13. Let p be j(-4). What is the greatest common factor of 22 and p? 11 Let x = 74 - -12. Let f = -129 - -253. Suppose -f = -3*i + x. W
{ "pile_set_name": "DM Mathematics" }
326330. Round a to the nearest one million. 2000000 Suppose d - 5*m - 2571 - 1239 = 0, -19134 = -5*d + 4*m. Round d to the nearest 100. 3800 Let q = 109.1 - 21.1. Let g = q - 142. Let y = 53.9946 + g. What is y rounded to 3 dps? -0.005 Let a be (-2)/(-8) + 243/36. Suppose -194615 = a*h + 15385. What is h rounded to the nearest 100000? 0 Let h = -23768531.5 + 33853788. Let l = 10085230.4999852 - h. Let s = l + 26. What is s rounded to 6 dps? -0.000015 Let t = -46362519.1 + 46362493.4000663. Let u = t - -25.7. What is u rounded to 5 dps? 0.00007 Let n(o) = -o - 10. Let g be n(-10). Suppose 36*p - 39*p = g. What is p rounded to the nearest one million? 0 Let u = 6.66 - 6.65998981. Round u to seven dps. 0.0000102 Let u = 0.3061602 + -0.306. What is u rounded to five dps? 0.00016 Let w = 0.07 + -1.27. Let z = 21.2 + w. Let j = z + -20.0007. What is j rounded to three dps? -0.001 Let m = 328.16 - 339. Round m to 1 dp. -10.8 Suppose 15*y + 104943385 = -231536615. What is y rounded to the nearest 100000? -22400000 Let f = 4082719 - 4082700.0984722. Let x = -9.098464 - f. Let s = -28 - x. What is s rounded to six decimal places? -0.000008 Let r = 0.078 + 30.922. Let x = r + -36.6. Let c = 12 + x. Round c to the nearest integer. 6 Let w(x) = x + 1. Suppose j = 2*n - 3*n - 1, 0 = n + 3*j - 5. Let h(g) = g + 33. Let a(k) = n*w(k) + h(k). Let d be a(0). Round d to the nearest 10. 30 Let y(r) be the first derivative of -3876*r**2 - 8*r - 51. Suppose 4*i + 1 = -15, -i = 5*v + 24. Let t be y(v). Round t to the nearest 10000. 30000 Let w be 453/((4 - 1)/3381). Let p be ((16667434/4)/7)/(2/4). Let g = p - w. Round g to the nearest one hundred thousand. 700000 Let h = -11287 - -7159. Let w = h + 4126.7177. Let u = w - -1.29. What is u rounded to 3 dps? 0.008 Let b = -3.29577 - -3.3. What is b rounded to 4 dps? 0.0042 Let z = 377 + -221. Let f = 65 - z. Let w = f + 90.99639. Round w to four dps. -0.0036 Let h = -4220.2714 - -4221.27140065. Let i = h + -1. What is i rounded to seven dps? 0.0000007 Let b be 8133/(-1) - 0/4. Let y be 0 + -2 - (-4 - b). Let w = -12931 - y. Round w to the nearest 1000. -5000 Let n = 3.48 + -188.48. Let f = 186.87 + n. Let d = f + -1.8. Round d to 2 dps. 0.07 Let n be (-2)/(-4)*(-1 + 1). Suppose n*w = -2*w. Suppose w = -3*q + q + 2140. Round q to the nearest 100. 1100 Let q = 5.8 + -1. Let m = q - 4.9. Round m to 1 dp. -0.1 Let w = 0.11149952 + -0.1115. What is w rounded to six decimal places? 0 Let v = 513.19 - -3.81. Let k = -516.99999583 + v. What is k rounded to six dps? 0.000004 Let r = -2.25 + 97.65. What is r rounded to zero decimal places? 95 Let w = 0.86 + -0.508. Let f = 0.062 - w. Let l = -0.2900072 - f. Round l to six dps. -0.000007 Suppose -3*v + 17361 = -2*s, -2*s - 2*v - 21843 + 4477 = 0. What is s rounded to the nearest one hundred? -8700 Let z = -1406 + 1406.00482. What is z rounded to three decimal places? 0.005 Let i = 0.46 + 5.74. Let a = i - 6.276. Round a to two decimal places. -0.08 Let q = 273 - 295. Let v = -361 - -383.7. Let w = v + q. Round w to 0 dps. 1 Let n be (-20)/(-6)*((-269688051)/17 + 3). What is n rounded to the nearest 1000000? -53000000 Let h = 0.3711676624 + -303.3711693724. Let v = 786 - 483. Let j = h + v. Round j to seven dps. -0.0000017 Let l = 6086.57 + -6046.5721. Let m = 13.4 - -26.6. Let n = m - l. What is n rounded to three dps? 0.002 Suppose -4*r + 13 = -2*k - k, r = k + 4. Suppose -q - 3 = r, 5*v + q + 6219 = 0. Let w be 12/(-21) - v/7. What is w rounded to the nearest 10? 180 Let b = -17 - 58. Let a = b - -74.99999744. What is a rounded to 7 decimal places? -0.0000026 Let q = -21.75 + -0.25. Let z = -3 - q. Let k = z - 18.99999908. Round k to 7 decimal places. 0.0000009 Let x = 4440 - 1440. Round x to the nearest one thousand. 3000 Let g(p) = 42659*p**2 - 6*p + 1. Let n(l) = 21329*l**2 - 3*l. Let d(m) = 3*g(m) - 5*n(m). Let y be d(-3). Round y to the nearest 10000. 190000 Let k = 1.9 + 2.4. Let d = k + -4.3044. Round d to three decimal places. -0.004 Let s = 170 + -169.824. Round s to 2 decimal places. 0.18 Let f = -1220 + 1182.8. Round f to the nearest ten. -40 Suppose 0 = -4*d + 2*d + 24. Let p(k) = k**2 - 10*k - 16. Let c be p(d). Round c to the nearest integer. 8 Let w(m) = m**3 + 4*m**2 - 11*m + 8. Let t be w(-6). Let j be 11299997 - (t + -1 + -4). What is j rounded to the nearest 1000000? 11000000 Let t = -0.202 - 215.398. What is t rounded to the nearest 10? -220 Let f be 0/(-5*10/(-25)). Suppose f = -97*v + 101*v + 35600. What is v rounded to the nearest 1000? -9000 Suppose l + 4*o - 22649988 = -4*l, 2*o = -l + 4529994. Round l to the nearest 100000. 4500000 Let v = -2 - 2. Let h be (3/(-6))/(v/40). Suppose u + 15 = h. What is u rounded to the nearest 100? 0 Let v = -32.927 - -33. Let o = v - 0.07322. Round o to four dps. -0.0002 Let j = 971441.2 + -960643.187. Let f = j - 10793. Let y = -5 + f. Round y to three dps. 0.013 Let l = 1.21 + -34.21. Let j = l - -32.828. Round j to 1 dp. -0.2 Let f = 2630.0002403 - 2630. Round f to 4 dps. 0.0002 Let g be (-2)/7 + 2/7. Suppose 3*f - 31387 = 2*v, -v = -g*v + 2*f + 15711. Let u be v/1 + (2 - 1). Round u to the nearest 1000. -16000 Let a = 0.2506 + 2.6274. Let w = a - -0.142. Round w to 1 dp. 3 Let v = 814.599 - 864.55. Let r = v + -0.049. Let s = r + 50.0057. What is s rounded to 3 dps? 0.006 Let r = 14.51 - 14.55632. Round r to 3 decimal places. -0.046 Let v = -37 - -36.75. Let d = v + 0.24999938. What is d rounded to 7 dps? -0.0000006 Let f = 2234996.175035 + -2234985. Let i = f + -11.565. Let c = -0.39 - i. What is c rounded to 5 decimal places? -0.00004 Suppose -m = -5*t + 880564, -t - 1761133 = 2*m - 6*t. Let q = 2360569 + m. What is q rounded to the nearest 100000? 1500000 Let x = 44.8 - 58. Let u = 14.153 + -0.153. Let d = x + u. What is d rounded to zero decimal places? 1 Suppose -3*f - 63944777 = -r, 3*f + 319723965 = 5*r + 4*f. Let b = r - 23484075. Suppose b = 2*m - 32939283. Round m to the nearest 1000000. 37000000 Let i be ((-2260999895)/(-14))/(-5) - 6/4. What is i rounded to the nearest one million? -32000000 Let b(j) = -370*j**2 - 12*j + 12. Let p be b(-4). Round p to the nearest 1000. -6000 Let i = 52.16127 - -938.838239. Let p = 991 - i. Round p to four dps. 0.0005 Suppose 104*w - 106*w = 4*z - 42792, 85592 = 4*w + 4*z. What is w rounded to the nearest one thousand? 21000 Let t = 0.61 - 0.6. Let n = 0.0100001 - t. What is n rounded to 6 decimal places? 0 Let l be (-1)/(-3) + 87608/3. Let s be (2 - 1 - 0)*1 - -29184. Suppose 4*o - 5*m = s, 0 = -2*o - 2*o - m + l. Round o to the nearest one thousand. 7000 Let p = 95884169.5 + -8736882.5. Let r = p - 87147304.00000028. Let s = 17 + r. What is s rounded to 7 decimal places? -0.0000003 Let a be (-1 + -2)*(13333729 + (-1 - -3)). Let z = a - -78301193. What is z rounded to the nearest one million? 38000000 Let z = 1965.18 - 1910. Let v = 0.82 + z. Let u = v + -56.0000063. Round u to six decimal places. -0.000006 Let t = 0.1155 + -0.081. Let k = 0.035 - t. Round k to 3 decimal places. 0.001 Let k = 84.7 - 84.68956. Round k to 4 dps. 0.0104 Let m = -252.307 + 1390.597. Let g = -1132 + m. Round g to one decimal place. 6.3 Let g = 12105 + -12172.13. What is g rounded to the nearest integer? -67 Let l = -483 + 485.19. Let p = -2.1899909 + l. Round p to six dps. 0.000009 Let r = -0.14 + -16.86. Let x = -0.12 + 13.72. Let i = r + x. What is i rounded to 0 decimal places? -3 Let n = 16514 - -8630. Let f = 25123.031 - n. Let y = f - -21. What is y rounded to two dps? 0.03 Let z = 501.104 + -816.0821. Let l = -315 - z. What is l rounded to 3 dps? -0.022 Let r = -3.786010198 + 3.786. Round r to six decimal places. -0.00001 Let d = -0.05583971 + 0.05587. What is d rounded to 6 decimal places? 0.00003 Let w = 156.62 + -158. Let a = w - -0.5. What is a rounded to one decimal place? -0.9 Let z = 142084.60087 + -142084. Let l = z - 0.6. What is l rounded to four dps? 0.0009 Let p be (-12)/(-21) + (-48)/(-14). Suppose -4*a = 4*d + 3199980, 0 = -p*d - 2*a + a - 3199995. Round d to the nearest one million. -1000000 Suppose 0 = -3*d - 3*j + 44665310 + 63664684, 0 = -5*d - 3*j + 180549994. Round d to the nearest one million. 36000000 Let j be 15/(3 + (-30)/9). Let z be (-5328)/j + (-4)/10.
{ "pile_set_name": "DM Mathematics" }
i = o + -336. Solve 5*x = i*x + 2 for x. 2 Suppose 0 = 7*t - 22 - 34. Suppose 78 = t*h - 2*h. Suppose -h = -5*j + 5*p + 2, -5*p = -10. Solve 0 + j = -5*d for d. -1 Let d = 54 - 52. Suppose 2*r - 7*q + 2*q = 0, -5*r = -d*q. Solve r = -i + 4 for i. 4 Let i be -2 - (-1 - -1) - -6. Suppose 1095*d = 203*d + 33896. Solve -39*n - i = -d*n for n. -4 Let h(l) be the first derivative of 19 - 7 + 0*l + 14 - 3*l**2 - 21*l. Let j be h(-4). Solve -j*z - 10 = -1 for z. -3 Let l(s) = 2*s**2 - 30*s + 30. Let i = 701 - 687. Let p be l(i). Solve 2*n = 3*n - p*n for n. 0 Let z(x) = -36*x**2 - 507*x - 2. Let k be z(-14). Suppose k*n = -9*n + 49. Let t be -6*(0 + 2/(-4)). Solve -n - t = 2*l for l. -2 Let j(y) = -y**3 + 21*y**2 - 39*y - 57. Let z be j(19). Let t = z - -92. Solve 3*a = -7 + t for a. 3 Let p(z) = z**3 + 75*z**2 + 149*z + 222. Let g be p(-73). Solve 143 = -g*u + 134 for u. -3 Let q(h) = -2*h**2 + 55*h + 49. Let k be q(28). Suppose 2*m = 5*r - k, -2*r - m = -5*r + 13. Solve 20 = -3*y + r for y. -5 Suppose -62*u + 1351 - 4261 + 16674 = 0. Solve 0 = -93*l - 18*l + u for l. 2 Suppose -900 = -60*v + 540. Solve -18*u + 84 = v*u for u. 2 Let r(c) = -2*c**3 + 6*c**2 + 3*c - 4. Let s be r(3). Suppose 2*t - 12 = -s*z + 5, -2*t - 4 = -2*z. Suppose 2*i + z*i = i. Solve i = -2*w + 7*w + 5 for w. -1 Let j(q) = 6*q. Let i be j(1). Suppose i*z - 2*z - 8 = 0. Suppose -z*b + 4 = 2*s, b - s - 10 = -b. Solve -20 = b*k - 0*k for k. -5 Let r(q) = 3*q**2 - 2*q - 126. Let m be r(11). Let u = m - 187. Solve 4*f - u = -12 for f. 4 Let i(y) = -y - 74. Let f be i(-12). Let w = f + 74. Solve -8*m = -w*m for m. 0 Suppose -5*i = -a + 626, 2*a = i + 829 + 459. Solve -g = a - 644 for g. -2 Let c(t) = -t**3 - 57*t**2 + 115*t - 63. Let n be c(-59). Solve 10*m + n = 29*m for m. 6 Let u(j) = 2*j**2 - 23*j - 21. Let k = 12 + -1. Let d be u(k). Let q = -32 - d. Solve -z - 2*z + 12 = q for z. 4 Let j(y) = -y. Let x(u) = 6*u + 1. Let a(o) = -33*j(o) - 6*x(o). Let l be a(-3). Suppose -7 = 2*n - 13, -4*n + 18 = 3*z. Solve 0 = -z*q - q - l for q. -1 Let c(r) = -r**3 - 39*r**2 - 109*r - 36. Let u be c(-36). Solve 3*p - 6*p - 10*p = u for p. 0 Let h(q) = -3*q + 11. Let w be h(3). Let s be 4/(-6)*(-11 - -5). Let a be (16/s + -3)*1. Solve w*y - a = -3 for y. -1 Let d = 83 - 78. Suppose -5*s = -d*u + 169 - 34, 4*u + 4*s = 76. Suppose 19*o - u*o = 0. Solve o*f = -f for f. 0 Suppose -3*t - 5*i = -7*i - 65, 4*i - 60 = -4*t. Let v be t + ((-56)/(-24))/((-21)/(-18)). Solve v*d = 22*d - 1 for d. 1 Suppose -10*l = -20*l + 100. Let z be (-8)/l*(-15)/6. Solve -z*p = -6*p for p. 0 Let c be 4/(-2) - 2*-3. Suppose -c*t = 3*t - 70. Suppose t*f - 181 = -61. Solve 0 = h + 2*h - f for h. 4 Let m = -37 - -43. Let o(u) = -u**2 + 8*u. Let j be o(m). Suppose 0*y + 5*y + 3*x = j, 4*y + 4*x = 16. Solve y = 2*q - 4 + 2 for q. 1 Suppose -t - 12 = 2*z, 0*t + 3*t + 6 = 0. Let q(b) = 6*b + 17. Let y be q(z). Let k be 13/(y/4) + 3*3. Solve 0*f + k*f = -20 for f. -4 Let f(o) = -5*o**3 + 6*o**2 - 11*o - 10. Let t(b) = b**3 + b - 1. Let i(d) = f(d) + 6*t(d). Let v be i(-6). Solve 2*p = v - 4 for p. 5 Let u(m) = -m**3 + 8*m**2 - 6*m + 8. Let a be u(8). Let b = a + 43. Solve 0*g + b*g - 9 = 0 for g. 3 Let k(l) = -2*l**2 + 18*l - 28. Suppose 11 = 3*u - 2*y, 8 = -4*y + 28. Let d be k(u). Solve d = -0*i + i - 1 for i. 1 Let z(y) = -9*y - 40. Let h be z(5). Suppose -3*j = 2*j - 440. Let a = j + h. Solve g + 1 - a = 0 for g. 2 Let c be (-24)/28*574/(-123). Solve 23*i + c = -42 for i. -2 Let w(u) = -24*u - 50. Let a be w(-3). Suppose -a*i = -20*i - 50. Solve -m - i = 4*m for m. -5 Let x be (-8 - -9) + -5 - 720/2. Let y = 369 + x. Solve -y*g + 12*g + 7 = 0 for g. -1 Suppose 9*n - 10*n + 102 = 3*b, -2*b + 78 = 4*n. Solve 17*v + 200 = -b*v for v. -4 Let y be (-27)/15 + (-1392)/(-290). Solve 53*i + y = 54*i for i. 3 Suppose 2*s - s + 127 = j, 0 = 2*s. Suppose 4*w - 195 = -5*f, 4*w - f - 50 = j. Let g = 45 - w. Solve g*a = a - 1 for a. 1 Let v = -2767 - -2779. Solve -19*d + 7*d - v = 0 for d. -1 Let a be (-78)/5*710/(-213). Solve 17*r = 30*r - a for r. 4 Let b be (-123)/(2/(2 + (-32)/12)). Solve -b*n = -26*n - 30 for n. 2 Let j(d) = 30 - 66 + d**2 - 4*d + 33. Let r be j(-2). Solve s = 10 - r for s. 1 Let c = 3411 - 3388. Solve -13 - c = -9*k for k. 4 Let w be ((-2)/3)/(4/12). Suppose t - 2*n = 9, 0 = t - 5*n + 3 - 24. Let c be (w - (-5)/t) + -7 + 4. Solve c*y + 3*y = 9 for y. 3 Let b = 55 + -135. Let o be (b/(-4))/4 - 3. Suppose 0 = 3*h - o*h - 4. Solve 12 = -h*i + i for i. -4 Let c(o) = -6*o - 31. Let i be c(-6). Let b = 1233 + -1233. Solve 4*t - i*t = b for t. 0 Suppose -541 = -4*r - 621. Let p be (-63)/(-6)*(-4)/3. Let z = p - r. Solve 0 = 2*q + z for q. -3 Let t = -140 + 160. Solve 16*k = 124 + t for k. 9 Let z be (-5)/(30/27) - 3/6. Let c be (-2)/(-10) + (-109)/z. Let w = -17 + c. Solve 0*b + 25 = -w*b for b. -5 Let h = 0 + 4. Suppose 0 = 24*f + 45620 - 45980. Solve h*r = 19 - f for r. 1 Suppose 0 = 2*b - o - 10, -3*b = 2*b - 2*o - 27. Suppose -57*s - 3 = -3*c - 55*s, 0 = -4*c - 2*s + 18. Solve 13 = c*a + b for a. 2 Let i be ((-24)/48)/(1 - 2) + 970/4. Solve i*b - 235*b = 0 for b. 0 Let r(d) = 2*d**2 - 22*d + 2. Let m be r(11). Suppose -m*h + 6 = -0. Suppose -h*j = i - 5, 2*j = i + 15 - 5. Solve j*u = -u - 12 for u. -3 Suppose -2*t + 2*d = -82, 7*t + 45*d = 41*d + 199. Solve t*a - 66 + 66 = 0 for a. 0 Suppose 2*f - 2*o + 0 = -8, 4*f + 2*o = 20. Solve -28*p + f - 30 = 0 for p. -1 Let r = 481 + -461. Suppose -r*u = -12*u - 48. Solve 12 + u = -6*w for w. -3 Suppose 4*k - 2*m - 502 = 0, -3*k + m + 216 + 160 = 0. Suppose -k = -9*o + 46. Solve 15*f = o*f - 16 for f. 4 Suppose 2978*z - 2980*z - 5*f = -66, 2*z = -f + 74. Solve -z - 16 = -9*w for w. 6 Let c = 76 - 76. Let t = 3 - -21. Let p be (t/(-84))/((c - -2)/(-14)). Solve p = -f - 3 for f. -5 Let o be (5 + 1)*(4 + (-35)/10). Suppose -672 = o*f + f. Let k be (-2)/(-4) - 0 - f/112. Solve -k*r + 2 = -4 for r. 3 Let k(b) = 11*b - 132. Let j be 1/((-9)/(-102)) + (-92)/(-138). Let o be k(j). Solve a - 4*a = o for a. 0 Let o be -1 - -3*57/9. Let b(p) = -p**3 + 21*p**2 - 55*p + 26. Let q be b(o). Solve -q*y + 9*y = -4 for y. -4 Suppose 19*v - 56 + 2 = 60. Solve 623 = v*g + 665 for g. -7 Suppose -4*q + 3*q - 5 = 0. Let s = q + 20. Let l(k) = -3*k + 27. Let u be l(9). Solve u*d - s = 5*d for d. -3 Let v = 36 + -81. Let c = v - -46. Let s be -2*(-1)/(6/12). Solve -s*h = 3 + c for h. -1 Let m(q) = 4*q + 33. Let p = 13 + -20. Let j be m(p). Suppose a + 3*x = -1 - 0, j*a + 3*x = 31. Solve 0 = 3*r - a*r for r. 0 Let b = 748 - 746. Suppose 2*u + 18 = b*y + 7*u, 2*u = -y + 8. Solve 3*d - 5*d - y = 0 for d. -2 Let w(y) = -4*y + 2. Let i be w(-4). Let v = 862 + -840. Let l = v - i. Solve -l*a = 6 + 2 for a. -2 Let m be 3/(((-42)/(-4))/(-7)) + -4. Let l be (-88)/(-9) + m/(-27). Let x(s) = s**2 - 9*s - 7. Let t be x(l). Solve 0*y = t*y - 6 for y. 2 Let r be (-3)/((-9)/12) - 100. Let q = -84 - r. Solve 5*t + t = -q for t. -2 Suppose 3*y - 4 - 8 = 0. Let w = -1549 - -1557. Solve y*v + 12 = w for v. -1 Suppose -1486*b = -695 + 695. Let v be (0 + 1)*(1 - 0). Solve a + v = -b*a for a. -1 Suppose 85*j + 22 = 84*j + 5*s, 3*j - 2*s = -1. Solve -j*h = 2*h for h. 0 Let y(s) = -4*s**2 - 62*s - 135. Let c be y(-9). Solve -10*q + c = -21*q for q. -9 Suppose -9*x + 12 = -7*x. Let y be (-2)/x + 49/21. Let d be ((-3)/y)/((-2)/12). Solve 2*k = -k + d for k. 3 Suppose -i + 27 = 4*t, -10*i - t - 72 = -15*i. Solve -27 = -i*l + 6*l for l. 3 Let o = 1327 - 923. Let f = o + -400. Solve -3*x = -x - f for x. 2 Let g = -685 + 711. Suppose -g*z - 760 = -46*z. Solve -3*m - z = -23 for m. -5 Let m be (-3)/24 + (37285/40 - 6). Let x = -918 + m. Solve -x*y = -y - 35 for y. 5 Suppose -5*u = -2*b - 15, 0 = -3*b + 54*u - 53*u - 3. Suppose -3*t + 2*j + 8 = 0, 0 = -4*t + 3*j - 2*j + 14. Solve -t*g + b = 4 for g. -1 Let s(g) = 4*g**3 + 2*g**2 + 12*g + 107. Let x(f) = 3*f**3 + 3*f**2 + 12*f + 108. Let h(u) = -2*s(u) + 3*x(u). Let t be h(-6). Solve 0 = -5*j + 7*j - t for j. 1 Let a = -204 - -206. Suppose -a + 82 = 10*z. Solve 2*n + z = -2*n for n. -2 Let v be (-6 + -6*40/(-36))/((-4)/(-8718)). Solve 1471 = -9*n + v for n. -2 Suppose 3*w = -1 + 10. Solve w*n = -32*n - 35 for n. -1 Suppose 25*f - 154 = 53 + 118. Solve 4*k = f*k - 36 for k. 4 Let v
{ "pile_set_name": "DM Mathematics" }
cube root of 1361 to the nearest integer? 11 What is the square root of 135 to the nearest integer? 12 What is 9449 to the power of 1/6, to the nearest integer? 5 What is 3772 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 16988 to the nearest integer? 3 What is 15725 to the power of 1/3, to the nearest integer? 25 What is the ninth root of 2058 to the nearest integer? 2 What is 981 to the power of 1/4, to the nearest integer? 6 What is 1592 to the power of 1/3, to the nearest integer? 12 What is the ninth root of 43534 to the nearest integer? 3 What is 2442 to the power of 1/3, to the nearest integer? 13 What is 22281 to the power of 1/10, to the nearest integer? 3 What is the third root of 38370 to the nearest integer? 34 What is the third root of 3565 to the nearest integer? 15 What is the square root of 10518 to the nearest integer? 103 What is the square root of 2018 to the nearest integer? 45 What is the third root of 2092 to the nearest integer? 13 What is the fifth root of 13344 to the nearest integer? 7 What is the square root of 3354 to the nearest integer? 58 What is the fourth root of 3727 to the nearest integer? 8 What is 98901 to the power of 1/2, to the nearest integer? 314 What is the third root of 23632 to the nearest integer? 29 What is the third root of 1406 to the nearest integer? 11 What is the cube root of 5584 to the nearest integer? 18 What is 47287 to the power of 1/2, to the nearest integer? 217 What is 3057 to the power of 1/3, to the nearest integer? 15 What is 16456 to the power of 1/9, to the nearest integer? 3 What is the square root of 5236 to the nearest integer? 72 What is the third root of 1619 to the nearest integer? 12 What is 10254 to the power of 1/3, to the nearest integer? 22 What is 1298 to the power of 1/8, to the nearest integer? 2 What is 7755 to the power of 1/3, to the nearest integer? 20 What is 52694 to the power of 1/10, to the nearest integer? 3 What is the square root of 1675 to the nearest integer? 41 What is the cube root of 5125 to the nearest integer? 17 What is the fifth root of 3367 to the nearest integer? 5 What is the third root of 1239 to the nearest integer? 11 What is the square root of 6177 to the nearest integer? 79 What is the cube root of 10856 to the nearest integer? 22 What is the eighth root of 11817 to the nearest integer? 3 What is 1730 to the power of 1/2, to the nearest integer? 42 What is 161641 to the power of 1/2, to the nearest integer? 402 What is the third root of 1527 to the nearest integer? 12 What is the third root of 251 to the nearest integer? 6 What is 11311 to the power of 1/2, to the nearest integer? 106 What is the cube root of 109645 to the nearest integer? 48 What is 21867 to the power of 1/5, to the nearest integer? 7 What is 102022 to the power of 1/2, to the nearest integer? 319 What is 281 to the power of 1/2, to the nearest integer? 17 What is the tenth root of 14314 to the nearest integer? 3 What is 1575 to the power of 1/2, to the nearest integer? 40 What is the third root of 80914 to the nearest integer? 43 What is 19758 to the power of 1/6, to the nearest integer? 5 What is the cube root of 65797 to the nearest integer? 40 What is the third root of 5592 to the nearest integer? 18 What is the square root of 12768 to the nearest integer? 113 What is 17186 to the power of 1/2, to the nearest integer? 131 What is the third root of 8679 to the nearest integer? 21 What is 7880 to the power of 1/2, to the nearest integer? 89 What is 1363 to the power of 1/7, to the nearest integer? 3 What is 940 to the power of 1/2, to the nearest integer? 31 What is the third root of 795 to the nearest integer? 9 What is 1016 to the power of 1/3, to the nearest integer? 10 What is 3096 to the power of 1/3, to the nearest integer? 15 What is 353 to the power of 1/10, to the nearest integer? 2 What is the cube root of 1071 to the nearest integer? 10 What is 804 to the power of 1/2, to the nearest integer? 28 What is 2117 to the power of 1/9, to the nearest integer? 2 What is 186 to the power of 1/2, to the nearest integer? 14 What is the tenth root of 3828 to the nearest integer? 2 What is the third root of 1739 to the nearest integer? 12 What is the sixth root of 1904 to the nearest integer? 4 What is 3411 to the power of 1/5, to the nearest integer? 5 What is 33717 to the power of 1/2, to the nearest integer? 184 What is the tenth root of 805 to the nearest integer? 2 What is the cube root of 9141 to the nearest integer? 21 What is the third root of 1179 to the nearest integer? 11 What is the sixth root of 491 to the nearest integer? 3 What is the cube root of 46935 to the nearest integer? 36 What is the ninth root of 972 to the nearest integer? 2 What is 6682 to the power of 1/10, to the nearest integer? 2 What is the third root of 1269 to the nearest integer? 11 What is the square root of 2356 to the nearest integer? 49 What is the square root of 25505 to the nearest integer? 160 What is the sixth root of 1117 to the nearest integer? 3 What is the fifth root of 2138 to the nearest integer? 5 What is the ninth root of 1066 to the nearest integer? 2 What is the fifth root of 40932 to the nearest integer? 8 What is the third root of 673 to the nearest integer? 9 What is the sixth root of 45676 to the nearest integer? 6 What is 18602 to the power of 1/2, to the nearest integer? 136 What is the square root of 1733 to the nearest integer? 42 What is the third root of 301 to the nearest integer? 7 What is the square root of 2910 to the nearest integer? 54 What is 56751 to the power of 1/2, to the nearest integer? 238 What is the fifth root of 90319 to the nearest integer? 10 What is 83763 to the power of 1/5, to the nearest integer? 10 What is 2100 to the power of 1/2, to the nearest integer? 46 What is the sixth root of 1058 to the nearest integer? 3 What is the ninth root of 1200 to the nearest integer? 2 What is the fourth root of 8818 to the nearest integer? 10 What is 14120 to the power of 1/6, to the nearest integer? 5 What is the cube root of 1252 to the nearest integer? 11 What is the sixth root of 6011 to the nearest integer? 4 What is the cube root of 92839 to the nearest integer? 45 What is 1468 to the power of 1/2, to the nearest integer? 38 What is the third root of 2367 to the nearest integer? 13 What is 3801 to the power of 1/2, to the nearest integer? 62 What is 649 to the power of 1/5, to the nearest integer? 4 What is 4811 to the power of 1/3, to the nearest integer? 17 What is the fourth root of 42936 to the nearest integer? 14 What is the sixth root of 17040 to the nearest integer? 5 What is the tenth root of 38675 to the nearest integer? 3 What is 731 to the power of 1/8, to the nearest integer? 2 What is the third root of 4238 to the nearest integer? 16 What is the third root of 10751 to the nearest integer? 22 What is the fifth root of 859 to the nearest integer? 4 What is the cube root of 672 to the nearest integer? 9 What is 4511 to the power of 1/10, to the nearest integer? 2 What is 98 to the power of 1/5, to the nearest integer? 3 What is the third root of 4933 to the nearest integer? 17 What is 4000 to the power of 1/9, to the nearest integer? 3 What is the square root of 3125 to the nearest integer? 56 What is the third root of 1226 to the nearest integer? 11 What is 16029 to the power of 1/3, to the nearest integer? 25 What is the eighth root of 759 to the nearest integer? 2 What is 34746 to the power of 1/8, to the nearest integer? 4 What is 14594 to the power of 1/8, to the nearest integer? 3 What is 1663 to the power of 1/7, to the nearest integer? 3 What is 6937 to the power of 1/3, to the nearest integer? 19 What is 4231 to the power of 1/5, to the nearest integer? 5 What is 5175 to the power of 1/8, to the nearest integer? 3 What is the cube root of 3083 to the nearest integer? 15 What is 369 to the power of 1/8, to the nearest integer? 2 What is the cube root of 48271 to the nearest integer? 36 What is the fifth root of 62441 to the nearest integer? 9 What is the tenth root of 29336 to the nearest integer? 3 What is 436 to the power of 1/2, to the nearest integer? 21 What is 114511 to the power of 1/2,
{ "pile_set_name": "DM Mathematics" }
30*j**3 Expand -4*o**5 - 2*o**5 + 3*o**5 + o**5 + 3*o**5 - 2*o**5 - 2*o**3 + 2*o**3 - o**5 + (o + o - 3*o)*(-o**4 + 3*o**4 + 0*o**4). -4*o**5 Expand (-10 + 2*v + 4 + 5)*(3*v**4 - v**4 + 0*v**4). 4*v**5 - 2*v**4 Expand (-24 + 27 + 9)*(2*t - 2*t - 3*t**2). -36*t**2 Expand (-1 + 0 + 3)*(-4*k**2 - 1 + 3*k + 5*k**2 - 4*k). 2*k**2 - 2*k - 2 Expand (-5*t - 6*t + 3*t)*(-2 + 4 - 4) + 2 - 2 + 4*t. 20*t Expand -6 - 4*c + 6 + (2*c + 3 - 3)*(0 + 3 - 2) + (3 - 3 - 2*c)*(1 + 1 - 1) - c + 2*c - 3*c - c + 2*c - 3*c. -8*c Expand ((y + 0*y - 2*y)*(5 - 2 - 2) - 4*y + 3*y - 4*y + (1 - 1 - 7)*(-5*y + 2*y + 4*y))*(2*y**3 - y**2 + y**2). -26*y**4 Expand (5 - 4 + 0)*(4*y**2 + y**2 - 12*y**2)*(y**2 - y**2 + y**3 + (0*y - y + 2*y)*(2*y**2 - 3*y**2 - y**2)). 7*y**5 Expand (3*o**3 + 0*o**3 - 5*o**3)*(-3*o + 2*o - o)*(-o + 2*o + 2*o). 12*o**5 Expand (36*z - 282 + 282)*(-4*z**3 + 0*z**3 + 2*z**3). -72*z**4 Expand (4*f + 1 - 4*f + 3*f**3)*(-7*f + 9*f + 15*f). 51*f**4 + 17*f Expand (2*l - 4 + 4)*(40*l**2 - 67*l**2 - 57*l**2). -168*l**3 Expand (0 + 3 - 4)*(-2 - 3*k + 2)*(-3 + 0 + 0). -9*k Expand (-x + x - 2*x)*(3 + 1 - 2)*(4*x**3 - 3*x**3 - 4*x**3). 12*x**4 Expand (0*k + k - 8*k)*(2*k**2 - k**2 - 2*k**2 + (2*k + 2*k + 2*k)*(-3*k + 2*k + 3*k)). -77*k**3 Expand (-3*t**2 - 2*t**2 + 6*t**2)*(-3*t + 3*t - 2*t**2) + 1 - 1 - t**4 - t**4 + 2*t**4 + 0*t**4 + 2 - 2*t**4 - 2. -4*t**4 Expand s**2 - s**2 + s**5 + (s**3 - 4*s**3 - 4*s**3)*(-3 - s**2 + 37*s - 37*s) - 3*s**5 - s**5 + 3*s**5. 7*s**5 + 21*s**3 Expand (a - 5*a - a)*(-5*a**3 + 0*a**3 + a**3 + (-1 + 1 + a**2)*(-2 + 2 + a)). 15*a**4 Expand 2*d**2 - 4*d**2 + d**2 + (d - 2 + 2)*(-1 - d + 1) - 2*d**2 + 4*d - 4*d + 2*d**2 - 1 + 1 + 0*d + 0*d - 2*d**2 + (2*d + 2*d - 2*d)*(3 + d - 3). -2*d**2 Expand (2*o + 3 - 3)*(-1 - 1 + 7) + (-2 + 4 + 3)*(o + o + 3*o). 35*o Expand (-3 + 1 - 2)*(-d**2 + d**2 + 3*d**2). -12*d**2 Expand 2*t**5 - t**5 + 0*t**5 - t**2 + t**5 + t**2 + (-2 - 2*t + 2)*(2*t**4 + 2*t**4 - 2*t**4) - 35*t**4 + 21*t**5 + 35*t**4. 19*t**5 Expand (-3*n**2 + 2*n**2 + 2*n**2)*(0*n + 4*n - 2*n + 2 - n - 2 + 0*n + 0*n - 2*n + (-3 + 2 + 2)*(-2*n + 1 - 1) + 2*n - 3*n - n + 0*n - 3*n + 2*n). -6*n**3 Expand (1 + 21 - 6)*(j**2 - j**2 - j**5). -16*j**5 Expand ((2*g + 1 - 1)*(2*g - g - 3*g) + (-4*g + 7*g - 2*g)*(-5*g + g + 2*g))*(g - 1 + 1). -6*g**3 Expand (-2 - 4 + 0)*(3 - 3 - 2*k)*(-1 + 3 - 4). -24*k Expand (6 + 0 - 3)*(-4*p - p + 2*p) + p + p - 3*p + p + p + p + (1 - p - 1)*(-1 + 2 + 0). -8*p Expand (8*x + 2 - 7*x - 4*x)*(-1 + x + 2*x + 2). -9*x**2 + 3*x + 2 Expand (v + 2 - 2)*(-2*v + 3*v - 5*v) + 3*v**2 + 5*v**2 - 3*v**2. v**2 Expand 9*j - 13*j - 7*j + (-6 + 3 + 2)*(2 - 2 - j). -10*j Expand 3*a - 11*a + 5*a - a - 3*a + 2*a + (2 + 5 - 5)*(-a + 4*a - 4*a) - 4*a + 3 - 3 - a - 2 + 2. -12*a Expand (3 - 4 + 2)*(-4*v + 2*v + 0*v) + v - 5*v + 2*v + (-2*v + 13*v + 13*v)*(2 - 6 + 2). -52*v Expand (24 - 24 - 4*n)*(-3 + 4 - 2). 4*n Expand (-4*f + 3*f - 2*f)*(3*f + f - 2*f)*(f - 6*f + 3*f). 12*f**3 Expand (0*q**2 + 5*q**2 + 2*q**2)*(-3*q**3 + 0*q**3 + 2*q**3 - q). -7*q**5 - 7*q**3 Expand 2*s**3 - s**3 + s**3 + (4 - 2 - 3)*(3*s**2 - 3*s**2 - 5*s**3). 7*s**3 Expand (-i - 2*i + 5*i)*(2*i + 4*i - 4*i) - 2*i**2 + 0 + 0 + 1 - 1 + 2*i**2 + 0*i**2 - 5*i**2 + 3*i**2 + (-2*i + 0 + 0)*(-2*i + 2*i - 2*i) + 6 - 6 + i**2. 7*i**2 Expand (-z + z - 2*z)*(-4*z - 3*z + 3*z)*(-z + 0*z + 2*z + 2*z - z + 0*z + (2*z + z - 2*z)*(0 + 3 - 5) + z - 2*z + 0*z). -8*z**3 Expand 5*w**2 + 2*w**2 - 2*w**2 + (6*w - 2*w - 3*w)*(-3 + 3 - 2*w). 3*w**2 Expand (-2 + 2*y**2 + 2)*(2 - 6 + 1)*(3 - 8 + 4)*(-5*y - 2*y**2 + 5*y). -12*y**4 Expand (-4*u + 5*u + u)*(-2*u**4 + 52*u**2 - 52*u**2 + 17). -4*u**5 + 34*u Expand 7*i**4 - 3*i**4 - i**4 + (0*i**3 - 3*i**3 + i**3)*(-4*i - 3 + 3). 11*i**4 Expand 2*n**5 + 2*n**5 - 6*n**5 + (-n**2 + 2*n**4 + n**2)*(n - 3*n + 4*n) - 37*n**5 + 17*n**5 + 15*n**5. -3*n**5 Expand (-1 + 1 + 2)*(d**4 - d**4 - d**4) - 176*d - d**4 + 176*d. -3*d**4 Expand (x + 4*x - 4*x)*(0 - 1 - 2) - 3*x + x - x - 3*x + 2*x + 0*x. -7*x Expand (-2*u + 0 + 0)*(4 - 4 + 1) + u - 3*u + u - u - 2*u + u + (-u + 0*u - u)*(-6 + 4 + 1) + 5*u - 2*u - u. -u Expand (-2 - p**2 + 2)*(0*p**2 - p**2 + 3*p**2) + (9*p**2 - 8*p**2 + 9*p**2)*(-3 + 3 + 2*p**2) - 1 + 1 - p**4 + 0 + p**4 + 0. 18*p**4 Expand 0*o + 0*o - 2*o**3 + (7*o**3 - 6*o**2 + 6*o**2)*(-1 - 3 + 1). -23*o**3 Expand (-3 + 0 - 4)*(-5*l + 3*l + 2 + 0 + (-4 - 2 + 5)*(0*l + 0*l - l)). 7*l - 14 Expand (8 + 12*s - 8 - 1 + 1 - 2*s + (-3 + 0 + 2)*(-3*s + s + s) - s + 4*s - 2*s)*(s + 2*s - 5*s) + 0*s**2 + 0*s**2 + 2*s**2. -22*s**2 Expand (f**2 - 3*f**2 + 3*f**2)*(-2 + 1 + 3) + 0*f**2 + 4*f**2 - f**2. 5*f**2 Expand -290 + 4*z + 289 + 4*z + (-1 - z + 1)*(3 + 0 - 1). 6*z - 1 Expand (-2*y**2 + y**2 + 3*y**2)*(-1 + 1 - 2*y**2)*(5 - 35 + 1 - y). 4*y**5 + 116*y**4 Expand (4 - 7 + 2)*(-c + 2*c + 0*c)*(0*c**2 + 2*c**2 - 4*c**2). 2*c**3 Expand (-8 + 8 - 56*q)*(2*q**3 - 2*q**3 + 2*q**3). -112*q**4 Expand (-3 - 2*k**2 + 3)*(0 + 0 - 2*k) - 3*k**3 + 0*k**2 + 0*k**2 + (0*k**3 - k**3 + 3*k**3)*(2 + 0 - 4). -3*k**3 Expand (0*m + 0*m - 2*m)*(-14*m**4 - 3*m**4 + m**4). 32*m**5 Expand 2*w**5 + w**5 - w**5 + 5*w**2 - 5*w**2 - 2*w**5 + (-3*w**4 + 0*w**4 + 2*w**4)*(-3*w + 2*w + 0*w) + 14*w**5 + 11*w**5 + 35*w**5. 61*w**5 Expand (-4*u**2 + 5*u**2 + 0*u**2)*(2*u**3 - u**3 + u**3) + 2*u**5 - 3*u**5 + 0*u**5. u**5 Expand -2*u**4 + 2*u**3 - 2*u**3 + (3*u**2 + 3*u**2 - 13*u**2)*(0*u**2 + 2*u**2 - 5*u**2). 19*u**4 Expand (-3 + 3 - 1)*(p + 0*p - 2*p + (2*p + p - 5*p)*(-3 - 1 + 2) - p + 4*p - 2*p). -4*p Expand (8 + 5 - 28)*(s - 3 + 3) - 6*s + 0*s + s. -20*s Expand (k - 6*k + k + (0*k - 3*k + 2*k)*(2 + 0 - 1))*(-1 + 3 + 0)*(-2 - 2*k + 2). 20*k**2 Expand (6 + 0 - 3)*(1 - 2 + h + h). 6*h - 3 Expand (-2*y + 0 - 5 + 2)*(2 - 2 - 2*y). 4*y**2 + 6*y Expand (-3*f + 2*f - 3*f)*(f**4 - f**4 - 4*f**4). 16*f**5 Expand (-2*f**3 + 6*f**3 + 0*f**3)*(-5*f + 0*f + 2*f)*(4 - 3 - 3). 24*f**4 Expand 0*n**5 + 0*n**5 + 4*n**5 + (-2*n**4 - 2*n**5 + 2*n**4)*(2 - 3 - 6). 18*n**5 Expand ((n - 1 + 1)*(n**2 - 3*n + 3*n) + 4*n**2 + 3*n**3 - 4*n**2 + (-2*n + 3*n + n)*(1 + n**2 - 1) + 0*n**3 + 2*n**3 - n**3)*(2*n + 2 - 2). 14*n**4 Expand -25*i**5 - 19*i**5 + 18*i**5 + (0*i**4 - 2*i**4 + 0*i**4)*(-i + 4*i - 2*i). -28*i**5 Expand (3 - 2 + 12 - v)*(2*v**3 - 4*v**3 + 3*v**3) + 2*v**4 + 3 - 3. v**4 + 13*v**3 Expand -44*m**5 - 46*m**5 - 19*m**5 + m**5 + m**2 - m**2 + (m - m**3 - m)*(-2*m**2 - 1 + 1) - 2*m + 2*m + m**5. -105*m**5 Expand (2 - 2 + 15*z)*(2 - 2 - 2*z). -30*z**2 Expand (-3*o + 5*o - o + (3 - 3 - o)*(-1 + 3 - 4))*(2*o**2 - 1 + 0 - 3*o**2). -3*o**3 - 3*o Expand (-1 + 1 + 1)*(-2 + 1 - 4)*(-s**4 + 5*s**4 - 3*s**4). -5*s**4 Expand (-4 - 9 - 5 + (0 + 0 - 2)*(0 + 0 - 2))*(-c - 2*c + 0*c). 42*c Expand -2*q - 3*q + q**3 + 9*q + (-q + 0*q - q)*(-2*q**2 + 3*q**2 + 0*q**2) + 3*q**3 - 3*q**3 + q**3 + 2*q - 2*q - q**3. -q**3 + 4*q Expand (q**2 - 2*q + 2*q)*(3*q + 2*q - 6*q)*(-6 - 8 - 2) - q - q**3 + q. 15*q**3 Expand (19 - 5 + 7)*(-3 + 3 - b). -21*b Expand -2*k**5 + 4*k**5 - 6*k**5 + (1 + k**4 - 1)*(2 - 2 - 2*k). -6*k**5 Expand (2*t**2 + 2*t**2 - 7*t**2)*(-2*t**3 - 1 + 1) + 3*t**5 + t**5 - 5*t**5 + (-3*t**2 - 2*t**2 + 4*t**2)*(5*t**3 + t**3 - 4*t**3). 3*t**5 Expand (-i - i + 4*i)*(5*i + i + i). 14*i**2 Expand -4 - d**4 + 4 + (d**2 - d**2 - d**3)*(3*d - d + 3*d). -6*d**4 Expand 0*q**3 - 3*q**3 - 3*q**3 + (2*q**3 + 1 - 1)*(4 - 2 - 1). -4*q**3 Expand (0 + 3 - 1)*((4 + 0 - 2)*(1 - 1 - 2*h) - 5*h + 3*h + 0*h)*(-3*h**2 + 3*h**2 - 2*h**3). 24*h**4 Expand 2*s**5 - 4 + 4 + 6*s**5 + 8*s**5 - 12*s**5 + (2*s**4 - 4*s**4 + 3*s**4)*(s - s - 3*s). s**5 Expand (2 + 0 - 1)*(1 + 3 - 3)*(3 - 3 + 4*n). 4*n Expand (-3 - 2*p + 3)*(-p - 3*p + 5*p)*(9 + 3 + 25). -74*p**2 Expand (2*w + 0*w - 93 + 70)*(-3*w**4 + 3*w**4 - w**4). -2*w**5 + 23*w**4 Expand (-g**2 + g**2 - 2*g**2)*(2*g - g + 3*g) + (-2*g + g + 0*g)*(3*g - 3*g + 4*g**2). -12*g**3 Expand -3*l + 3*l - 6*l + (7*l - 3*l - 3*l)*(3 - 2 + 0) - 2*l - 3*l + 2*l. -8*l Expand ((4 - 1 - 2)*(-2*i - 2*i + 2*i) + 6*i - 381 + 381)*((-2 + 0 + 3)*(-3*i + i + i) - 3 + 2*i + 3). 4*i**2 Expand (6 - 1 + 2)*(2 - 5 + 1)*(3*v + 3*v - 4*v). -28*v Expand (2*t**3 + t**2 - t**2)*(-t**2 + 2*t**2 - 3*t**2) + 0*t**5 - 3*t**5 + 4*t**5 + (-t**4 + t**4 + t**4)*(-2 - 2*t + 2) - 2*t**5 + 0*t**3 + 0*t**3. -7*t**5 Expa
{ "pile_set_name": "DM Mathematics" }
). Let j = r - 35. Suppose 0 = -2*k + j*k - 216. Is 6 a factor of k? True Let m = -2 + 2. Suppose 7*h - 234 - 851 = m. Let f = 265 - h. Does 28 divide f? False Suppose 19*v = 14*v - 4*m + 178224, -4*m + 35664 = v. Is 88 a factor of v? True Let u(t) = -34*t**3 + 12*t**2 + 45*t + 39. Is u(-9) a multiple of 138? True Let c = -1049 - -5686. Suppose 291 = 11*t - c. Is 28 a factor of t? True Let f = -271 - -302. Let c be 34 - (-2 + -1 + 1). Suppose -f*v - 970 = -c*v. Does 20 divide v? False Let c be 3*(-1)/(-6)*10. Suppose -3*y = -c*y + 4*k + 212, y = -k + 115. Is 17 a factor of y? False Let z = 60 + -184. Let k be 3*16/12 - z. Suppose -4*o + 3*u = -190, -3*o + u = 6*u - k. Does 30 divide o? False Suppose z + 28022 = 20*v - 16*v, 14008 = 2*v - z. Is 3 a factor of v? False Suppose 4*q = -5*r + 316 + 30, -4*r = -2*q + 186. Let o(x) = 89 + 6*x - 192 + q. Does 28 divide o(7)? True Let q be ((-68)/(-85))/((-1)/(-20)). Suppose q = 4*g - 0*g. Suppose -5*b = -20, g*m - 768 = 12*b - 9*b. Does 22 divide m? False Let q(x) = 6*x**2 + 4*x - 40. Suppose 43*h = 33*h - 80. Is 20 a factor of q(h)? False Let a = 35863 - 19159. Does 59 divide a? False Suppose -13*f + 8*f + 4*x + 3 = 0, 4*f = 5*x - 3. Suppose -94 = -p - f*b + 138, -3*p + b = -656. Is 30 a factor of p? False Suppose -6*f + 63 = 15*f. Is (1 + (0 - f))/((-53)/6784) a multiple of 22? False Let j(b) = b**2 - 6*b + 7. Let i be j(5). Suppose 0 = -l + i*y + 2, -2*l - 2*y + 1 + 3 = 0. Suppose 0 = 2*x - 2, 0*x - 2*x = l*q - 28. Is q even? False Let v = 0 - -5. Let u = -429 + 630. Suppose -4*m - 3*c = -u, v*c + 3 = 2*c. Is m a multiple of 17? True Let p be (30 + (2 - 0))/((-1)/(-2)). Let t = 87 - p. Does 3 divide t? False Let u be 868/168 + 1/(-6). Suppose 4*y = 12, 17*f + 69 = 19*f - u*y. Is f a multiple of 42? True Suppose 0 = 12*c - 77109 + 15861. Is c a multiple of 116? True Let i = -310 - -328. Suppose -i*j + 3*g = -22*j + 912, 0 = 3*j + 5*g - 673. Does 7 divide j? True Suppose -3*u = -4*u - 46. Let a = -47 - u. Is (-2)/a*-2 + 31 a multiple of 9? True Suppose p + 7 = 8, p = -2*v + 11. Suppose -5*w + 1275 = v*f - 620, -4*w + 1486 = -2*f. Is 34 a factor of w? True Is (444/(-10))/(4/(-450)*9) a multiple of 3? True Let l = 33497 - 28525. Is 243 a factor of l? False Suppose 4*w - 7*w = -30. Let y be (0 + w)/((-32)/(-64)). Suppose -2*v = -28 - y. Does 3 divide v? True Let t(w) be the third derivative of -w**6/120 + 17*w**5/60 - 7*w**4/24 - 3*w**3/2 - 162*w**2. Is t(12) a multiple of 33? True Let m = -103 + 105. Suppose -2*x - 15 = -5*k + 2*x, 5*k + m*x - 45 = 0. Let t(w) = 2*w**2 - 11*w + 1. Does 3 divide t(k)? False Suppose -4 = 4*g + 8. Let n be g/((-12)/16 + 0). Suppose -n*y + 226 = -118. Is y a multiple of 43? True Does 17 divide (46521/36)/(2/24)? False Suppose -5*q - 7 - 13 = -u, u = -2*q - 8. Suppose 7*d + u*d - 21 = 0. Suppose 2*p = 0, 3*p = -d*g - 0*p + 195. Does 7 divide g? False Let k(y) = -6*y - 29. Let d(a) = 1. Let z(v) = 2*d(v) - k(v). Let w = -5568 + 5584. Is 23 a factor of z(w)? False Let i(f) = f**3 - 3*f**2 + 2*f + 7. Suppose -4*q - 1 = 11, 7 = b - q. Suppose -b*r + 2 = -5*c, -2*r - c + 1 = -7. Does 2 divide i(r)? False Suppose 0 = 2*p - 12 + 6. Let j(z) = 8*z**3 - z**2 - 7*z - 5. Let c be j(p). Suppose c = 4*y + 61. Does 16 divide y? False Let j be (-2)/(-4) - (-1815)/10. Suppose 0 = 3*z + 5*r - 217, -3*z + j = -0*z - 2*r. Suppose 16*f + z = 18*f. Is 8 a factor of f? True Let g(p) be the third derivative of p**5/12 - 5*p**4/24 - 5*p**3/2 + 73*p**2. Does 5 divide g(4)? True Let w = -120 + 120. Suppose -425 = -5*i + 4*n, w = -0*i - 4*i - n + 361. Let k = i + -65. Is 9 a factor of k? False Suppose 0 = -41*x + 42185 + 19069. Suppose 0 = 2*m + 2*s - 0*s - x, 4*m - s - 2963 = 0. Does 14 divide m? True Is 3 a factor of (-8)/(-84) - 4308/(-42)*70/21? True Let r(f) = -f**3 + 9*f**2 + 3*f - 9. Let z(n) = n**2 - 4*n - 7. Let j be z(4). Does 13 divide r(j)? True Let v(j) = 1 + 5*j - 4 + 2*j - j**2 + 0*j. Let r be v(6). Suppose 0*g - 5 = 5*g, -3*d = r*g - 195. Does 6 divide d? True Suppose -5*f = 4*c - 0*c - 41, -4*c = 2*f - 14. Is 80 a factor of 20157/12 - f/(-36)? True Let v(a) = -6 + 1 + 8*a + 5. Suppose 0 = -2*n - 5*j - 6, -4 = -2*n - j - 2. Is v(n) a multiple of 4? True Let v = 3 - -66. Suppose v = 2*f - w - 110, -3*f + 266 = -4*w. Is 9 a factor of f? True Suppose -219*f = -222*f + 441. Suppose -6531 - f = -6*d. Is 53 a factor of d? True Suppose -52*w = -47*w - 425. Suppose 3*k - w = 809. Is k a multiple of 8? False Suppose -7*n - 10 + 38 = 0. Suppose -2*v + 20 = -5*p, -5*v + v + 12 = n*p. Does 16 divide 2 + 0/4 + (p - -176)? True Suppose -y + 3*x + 20438 = 0, 61301 = 3*y - 608*x + 612*x. Is y a multiple of 55? False Is 463840/780 + 8/6 a multiple of 4? True Let j = 116 + -132. Is 196*(76/j + 5) a multiple of 13? False Let d = -45 - -58. Suppose d*m - 15*m = -8. Let u(y) = 2*y**2 - 3*y - 4. Is u(m) a multiple of 4? True Let l(u) = 2*u - 24. Let f be l(12). Suppose f = -4*o + m + 1245, -627 = -2*o - 0*o - m. Suppose o = -0*k + 8*k. Is 8 a factor of k? False Suppose 1538 = 3*d - 6694. Suppose d + 676 = 10*t. Does 19 divide t? True Let f = -623 - -627. Suppose 3*j = -j + 16. Suppose -u + 35 = -g + 6*g, -j*u + 108 = f*g. Is u a multiple of 3? False Let m(n) = 2*n**3 + 11*n**2 - 20*n + 2. Is 10 a factor of m(6)? True Let s be (-2 + 47/15 - (-246)/(-1845))*132. Suppose 273 = 5*n - 847. Suppose 2*g = 2*r - n, r + 4*g - g = s. Is 18 a factor of r? False Let c(a) = a**3 - 3*a**2 - a - 1. Let m be c(4). Let p(i) = -m*i**3 - 3*i - 86 + 2*i + 2*i - 3*i**2 + 88. Is 2 a factor of p(-1)? False Let z(h) = 34*h + 1074. Does 72 divide z(87)? True Is 885199/49 + -3 + (-30)/105 a multiple of 22? True Let d = 1143 + -316. Suppose 0 = 4*f + r - 0*r + d, 2*r + 1036 = -5*f. Let i = 317 + f. Is 7 a factor of i? False Is 18 a factor of 0 - (-1077 - (15 + -30))? True Suppose -6 = 2*k + 4*g, 4*k + 8 + 8 = -4*g. Suppose -71*l + 77*l = 516. Let d = k + l. Is 10 a factor of d? False Suppose 12*t + 21*t - 74415 = 0. Is t a multiple of 41? True Suppose 1256*b = 1252*b + 40783 + 37105. Does 131 divide b? False Let z = -15687 - -20374. Is z a multiple of 4? False Suppose -3*x = 4*l + 1409, -1842 = 4*x - 3*l + l. Let z = -49 - x. Suppose -z = 19*w - 25*w. Is 23 a factor of w? True Suppose -6*w + 739 = 397. Is 3 a factor of w? True Let f = 8 + -4. Suppose 0 = -f*q - q + 25. Suppose -4*s = q*s - 513. Is s a multiple of 19? True Let n = 50 + -60. Let k be ((-4)/n)/((-1)/(-1805)). Is k/3 + 42/(-63) a multiple of 30? True Let z(k) be the first derivative of k**5/40 + k**4/2 - 19*k**3/3 - 18. Let u(f) be the third derivative of z(f). Is 5 a factor of u(3)? False Let j be (-8244)/(-81) + 2/9. Let x = j - 20. Suppose 0 = t - 15 - x. Is t a multiple of 22? False Let g(v) = -663*v - 8897. Does 19 divide g(-64)? True Let o(z) = 20*z - 7. Let c be o(3). Let w = c - 53. Suppose -5*r - m + 564 = w, -85 = -r + 2*m + 30. Does 8 divide r? False Let i(b) = -4*b**2 - 260*b + 253. Is i(-12) a multiple of 4? False Suppose -4*c + 9 = -167. Let k = c - 37. Suppose s + 96 = k*s. Is s a multiple of 3? False Let n(r) = -r**2 + 12*r + 4. Let f be n(12). Suppose 2*a = a + f. Suppose a*h - 4*u - 268 = 0, 6*h - 329 = h + 3*u. Is 16 a factor of h? True Let n(u) = u**3 - 5*u**2 - 3*u + 8. Let z be n(6). Let q = -30 + z. Is 591/39 + q/26 a multiple of 2? False Let z be 2/(-8) - 26/(-8). Suppose -1221 = -2*t - z. Does 21 divide t? True Suppose y = 5*y + 3*d - 439, 4*d - 20 = 0. Suppose -4*i = -i - 12. Suppose -a - i = -y. Does 34 divide a? True Let g(i) be the third derivative of -3*i**4/2 - 98*i**3/3 + 5*i**2 - 8*i. Does 58 divide g(-28)? True Let b be (390/(-117))/((4/345)/(-2)). Let t = -205 + b. Is 37 a factor of t? True Suppose 12588 = 29*y - 25*y. Suppose -1987*g - y = -1990*g. Is g a multiple of 32? False Let g = 25622 - -18170. Is 112 a factor of g? True Suppose 4*s = -69 - 51. Let p = s + 1. Is (3 - p) + (3 - 1) a multiple of 6? False Is ((-648)/(-30) - 12)/(6*(-3)/(-48360)) a multiple of 32? True Let u(v) = -48*v + 289. Let i be u(6). Is 37 a factor of (0 - i)/((-6)/3738)? False Let s(b) = 16*b**2 + 23. Let i(x) = 4*x**2 + 6. Let r(o) = 9*i(o) - 2*s(o). Does 14 divide r(-5)? False Let d = 24 - 16. Suppose 315 = 16*v - 1029. Is 5019/v - (6/d - 1) a multiple
{ "pile_set_name": "DM Mathematics" }
tiate -4853*m**3 - 2*m**2 + 12*m - 128226 wrt m. -14559*m**2 - 4*m + 12 Differentiate 18*f**3*u - 126*f*l*u**3 - 7*f*l - 2350*l*u**2 + 2*u**3 - 2*u**2 wrt f. 54*f**2*u - 126*l*u**3 - 7*l What is the first derivative of 539*c*q + 7378*c*t - 5*q*t + 9*q + t + 6 wrt q? 539*c - 5*t + 9 Find the third derivative of 169351*j**5*s**3 + 23*j**2*s**2 - 1538*j**2*s + 2*j*s**3 wrt j. 10161060*j**2*s**3 Find the third derivative of -142529*s**4 - 508698*s**2. -3420696*s What is the first derivative of 17289*o**3 - o**2 - o - 1951? 51867*o**2 - 2*o - 1 What is the first derivative of -21*l**2 - 978*l - 93009 wrt l? -42*l - 978 What is the first derivative of g**2*o - 3*g*o**3 - 89860*g*o**2 - 66*o**3 - 40*o + 1 wrt g? 2*g*o - 3*o**3 - 89860*o**2 What is the derivative of 59*g**4 + 651*g**2 - 2387556? 236*g**3 + 1302*g What is the third derivative of 6631*f**5 - 15*f**2 + 279*f wrt f? 397860*f**2 What is the third derivative of -125837*l**5 + 91*l**2 - 102 wrt l? -7550220*l**2 What is the second derivative of 10*m**3*n**2 - 88*m**3 + 5*m**2*n**2 - 24*m*n**2 - 3368*m wrt m? 60*m*n**2 - 528*m + 10*n**2 What is the third derivative of -796605*f**5 + 28*f**2 + 3*f + 59 wrt f? -47796300*f**2 What is the third derivative of -26*o**5*s**2 - 873*o**5*s + 14*o**2*s + 3*o**2 + 5*s**2 + 3*s wrt o? -1560*o**2*s**2 - 52380*o**2*s Find the second derivative of -6*u**4 + 108*u**3 + 7*u**2 + 166250*u. -72*u**2 + 648*u + 14 What is the third derivative of c**3*u**2 + 26*c**3*u + 21*c**3 - 2*c**2*u + 1888*c**2 - 2*c*u**2 + 2*u**2 wrt c? 6*u**2 + 156*u + 126 What is the first derivative of -126657*n + 745292? -126657 What is the second derivative of 176*o**4 + 4*o**3 - 7*o**2 + 2*o - 3619 wrt o? 2112*o**2 + 24*o - 14 Find the third derivative of 38018*b**5*z**2 + 3*b**3*z**3 + 35*b**2*z**3 + b**2*z + 583 wrt b. 2281080*b**2*z**2 + 18*z**3 What is the second derivative of 651357*a**3 + 3*a**2 + 297*a + 1785? 3908142*a + 6 What is the second derivative of 131699*k**2*p**2 - 4*k**2 - 16*k - 2*p + 37 wrt p? 263398*k**2 Find the second derivative of 414285*w**3 + 1756*w + 43 wrt w. 2485710*w Find the second derivative of 19*h*t**3 - 49003*h*t**2 + 2*h*t + 8531*t + 3 wrt t. 114*h*t - 98006*h What is the third derivative of 44*h**4*o - 17669*h**4 + h**2*o + 55*h**2 - 4302*h wrt h? 1056*h*o - 424056*h Find the second derivative of -592519*d**2 + 133107*d wrt d. -1185038 Find the third derivative of 652365*l**5 + 5827676*l**2 wrt l. 39141900*l**2 What is the second derivative of -3481*i**5 + 5*i**4 + 7*i**3 + i + 760161 wrt i? -69620*i**3 + 60*i**2 + 42*i Find the third derivative of -14626*l*o**3 + 63*l*o**2 + l + 2*o**2 - 5*o wrt o. -87756*l What is the derivative of 4*b**3*u - 357*b*u**2 + 667*u**2 + 3*u + 5 wrt b? 12*b**2*u - 357*u**2 Differentiate 11*j*n - 168721*j - 3677*n - 1 with respect to n. 11*j - 3677 What is the third derivative of 3206*a**6 - 3*a**5 + 212630*a**2? 384720*a**3 - 180*a**2 Find the first derivative of 4*j*r**2 - 32374*j + 47*r**2 + 88*r wrt r. 8*j*r + 94*r + 88 What is the first derivative of -39246*j**2 - 79917? -78492*j Find the second derivative of -415390*g*k**2 - g*k + g - 2736*k + 41 wrt k. -830780*g Differentiate g*q**3 + 11*g*q**2*z**3 - 1279*g*z - 2*q**3*z**3 - q**3*z**2 - 4755*q*z**3 with respect to g. q**3 + 11*q**2*z**3 - 1279*z Find the second derivative of 3420184*f**2*v**2 - 24*f*v**2 - 16*f*v - 22*v**2 - 6*v wrt f. 6840368*v**2 What is the second derivative of 232621*r**4 + 2769597*r wrt r? 2791452*r**2 Find the first derivative of 40*x**2 - 6482*x + 151364. 80*x - 6482 What is the derivative of -32022*a*y**3 + a*y - 3*a - 2*y**3 + 99875 wrt y? -96066*a*y**2 + a - 6*y**2 What is the third derivative of 28062*h*m**2*n + 38*h*m*n**3 + 6*h*n**2 - 2131*m**3*n**3 + 2*m**3 wrt n? 228*h*m - 12786*m**3 What is the derivative of -148251*o**3*v**3 + 356*o**3 + 5*o**2 - 41 wrt v? -444753*o**3*v**2 Find the second derivative of -537423*m*t**2 + 9*m*t - 52*m - 2*t**2 + 12*t - 2 wrt t. -1074846*m - 4 What is the third derivative of b**4 - 505881*b**3 + 4*b**2 + 319*b - 55 wrt b? 24*b - 3035286 Differentiate -32751*d**3 + 26536 with respect to d. -98253*d**2 What is the second derivative of 126814*h**5 + 47427*h wrt h? 2536280*h**3 What is the third derivative of 60990*v**3 - v**2 - 268*v + 9? 365940 Differentiate 3*j**2*y + 5162*j*y - 793*y + 178 wrt j. 6*j*y + 5162*y What is the derivative of -3*m**2*t**2 - 4*m**2*t + 294*m**2 + 17*m + 69725*t**2 - t wrt m? -6*m*t**2 - 8*m*t + 588*m + 17 What is the second derivative of 2*s**4 + 191207*s**3 + 3495254*s? 24*s**2 + 1147242*s Differentiate 591*a*v**2*x**2 - 332*a*v*x**2 + 63*v**2*x**2 - v**2 + 5*v*x**2 - v*x + 141*x**2 wrt a. 591*v**2*x**2 - 332*v*x**2 Find the first derivative of 16*j*o**3 - 2*j*o*r - 64*j*r - 2*j + 3129*o**3*r + o**2*r + 8*o wrt j. 16*o**3 - 2*o*r - 64*r - 2 What is the third derivative of 13*u**4 + 7742*u**3 - 985123*u**2 wrt u? 312*u + 46452 What is the third derivative of -15630*c**5 - 3*c**4 + 7*c**3 - 257*c**2 - 3408? -937800*c**2 - 72*c + 42 Find the second derivative of -657*j**2 - 38054*j wrt j. -1314 Find the third derivative of -n**3*u**3 - n**3*u**2 + 59*n**3*u + n**3 + 18415*n**2*u**3 wrt n. -6*u**3 - 6*u**2 + 354*u + 6 What is the second derivative of 55*l**5*q**3 - 880*l**3*q**3 - 6*l*q**3 + l*q**2 - 107*l + 4*q**3 - 2 wrt l? 1100*l**3*q**3 - 5280*l*q**3 Find the third derivative of 25495*c**3*m**4 + 2694*c**3 - 2*c**2*m**2 wrt m. 611880*c**3*m What is the second derivative of -85*b*c**3*s**3 + 40*b*c*s**3 + 22*b*s**3 - 4411*c**3*s**3 + 2*c*s**3 + c + 14*s**3 wrt c? -510*b*c*s**3 - 26466*c*s**3 Differentiate d**2*n**3 + d**2*r + 49*d*n**3*r*t - 10*d*r*t + 20*n**3*t - 64*n**2*t + 3 with respect to r. d**2 + 49*d*n**3*t - 10*d*t What is the second derivative of -31*a**2*p + 19*a**2 - 21*a + 298*p wrt a? -62*p + 38 What is the third derivative of 1606*u**5 + u**3 - 37061*u**2? 96360*u**2 + 6 Find the third derivative of 326*z**5 + z**3 + 17*z**2 - 433*z. 19560*z**2 + 6 Find the second derivative of 29092*f**2*r**3*z**2 + 2*f**2*r*z**3 + 2*f*r**3*z + 312*f*r*z**2 + f*z + 38*r**3*z**3 - r*z**3 wrt f. 58184*r**3*z**2 + 4*r*z**3 Find the second derivative of 183*o**5 + 1205*o**2 + 905959*o wrt o. 3660*o**3 + 2410 Find the third derivative of 3561*x*z**5 + x*z - 5*z**5 - 21794*z**2 wrt z. 213660*x*z**2 - 300*z**2 Find the third derivative of 581998*u**6 + 1522751*u**2 wrt u. 69839760*u**3 Find the third derivative of 578521*u*z**4 - 290*u*z**2 - 31*u wrt z. 13884504*u*z Find the third derivative of 22244*c**3*z + c**3 - 6*c**2*z - 438*c**2 wrt c. 133464*z + 6 Find the third derivative of 30577*j**6 + 15028*j**2 - 1. 3669240*j**3 Find the third derivative of -40963*a**3*w - a**3*y + a**2*w*y - a**2*w - 106*a**2*y - 4*a*w*y - 2*y wrt a. -245778*w - 6*y What is the second derivative of 2*k*u**5 - 1731473*k*u**2 + 1678680*k*u wrt u? 40*k*u**3 - 3462946*k What is the derivative of -15*o*w**2 - 5*o*w - 136274*o - 495*w**2 wrt w? -30*o*w - 5*o - 990*w Find the first derivative of -j*r*s + 469*j*r - 3*j*s**2 - 3*j*s - r - 5*s**2 + 760*s wrt j. -r*s + 469*r - 3*s**2 - 3*s What is the second derivative of 58017*o**5 - 61989*o wrt o? 1160340*o**3 Find the second derivative of -27265*c**3 + c**2 + 37*c + 8683 wrt c. -163590*c + 2 What is the third derivative of -16525*g*o**3 + 96*g*o**2 + 35*g*o + 3*g + 10*o**3 + o**2 + 9 wrt o? -99150*g + 60 Differentiate -2*a*c**2*v - 2*a*c**2 + 19*a*v - 3*a + 453457*c**2*v - 4583*v with respect to c. -4*a*c*v - 4*a*c + 906914*c*v Find the first derivative of 11463*b**3 + b + 769157. 34389*b**2 + 1 What is the derivative of -175*v**3 + 1980*v**2 + 1627988 wrt v? -525*v**2 + 3960*v Find the third derivative of 687*d*f**3*w**2 + 1255*d*f**3*w + 115*d*f*w + 3*d + f**2 + 15*f*w**2 - 1 wrt f. 4122*d*w**2 + 7530*d*w Find the third derivative of 4317*o**5 + 47*o**3 + 6065*o**2. 259020*o**2 + 282 What is the third derivative of -24529*k**6 - 2*k**2 + 914*k + 5 wrt k? -2943480*k**3 Find the third derivative of -2*i**2*p*t*w**3 - 2*i**2*t**2*w - 2810*i*p*t**2 + 69501*i*t**2*w**3 - 2*p*t**2 - t**2*w**2 wrt w. -12*i**2*p*t + 417006*i*t**2 Differentiate -22*i**4 - 1456*i**3 + 289803. -88*i**3 - 4368*i**2 Differentiate -u**3*z**3 + 21013*u**2*z**3 + 46431*z**3 - 2*z**
{ "pile_set_name": "DM Mathematics" }
king 1 n and 1 i. 3/190 What is prob of picking 1 g and 1 r when two letters picked without replacement from {l: 1, g: 1, w: 1, t: 3, i: 2, r: 5}? 5/78 Two letters picked without replacement from {e: 2, n: 1, h: 2, x: 1, d: 2, w: 4}. What is prob of picking 1 x and 1 e? 1/33 Two letters picked without replacement from {n: 7, x: 1, v: 4, g: 1, j: 2}. What is prob of picking 1 n and 1 g? 1/15 Two letters picked without replacement from {w: 4, x: 3, s: 1}. What is prob of picking 2 x? 3/28 What is prob of picking 1 h and 1 p when two letters picked without replacement from pnmchgn? 1/21 Calculate prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from {z: 1, u: 2, d: 2, t: 3, v: 6, a: 5}. 10/323 Calculate prob of picking 1 f, 1 b, and 1 c when three letters picked without replacement from pbfddcfabfffd. 5/143 Two letters picked without replacement from qktncqtqkkqq. What is prob of picking 1 q and 1 k? 5/22 Three letters picked without replacement from liuiiile. Give prob of picking 1 i, 1 l, and 1 u. 1/7 What is prob of picking 1 u, 2 a, and 1 j when four letters picked without replacement from {h: 7, c: 2, u: 1, a: 3, j: 4}? 3/595 Four letters picked without replacement from gagggssoassooagga. Give prob of picking 1 a and 3 o. 1/595 Four letters picked without replacement from leadqpdleapedplle. Give prob of picking 2 d, 1 p, and 1 a. 9/1190 Four letters picked without replacement from bfbbfbfcbccchcbcfh. Give prob of picking 3 c and 1 h. 2/153 Calculate prob of picking 4 n when four letters picked without replacement from {m: 5, n: 8}. 14/143 Three letters picked without replacement from {b: 5, s: 5, x: 2, n: 5, e: 1}. What is prob of picking 1 b, 1 e, and 1 x? 5/408 Two letters picked without replacement from {q: 2, x: 2, d: 6, n: 6, r: 1}. Give prob of picking 1 q and 1 x. 1/34 What is prob of picking 1 m, 1 k, and 1 q when three letters picked without replacement from rqmkkm? 1/5 What is prob of picking 2 a when two letters picked without replacement from {a: 2, n: 1, c: 2}? 1/10 Calculate prob of picking 1 r and 1 a when two letters picked without replacement from rrrarrrr. 1/4 Four letters picked without replacement from {i: 3, b: 1, d: 5, y: 2, w: 1, p: 1}. What is prob of picking 1 y, 1 p, and 2 d? 4/143 What is prob of picking 3 r when three letters picked without replacement from {d: 16, r: 4}? 1/285 Three letters picked without replacement from {h: 1, f: 5, k: 2, z: 1}. What is prob of picking 1 h and 2 k? 1/84 Two letters picked without replacement from nnththtth. Give prob of picking 2 t. 1/6 Calculate prob of picking 3 l and 1 s when four letters picked without replacement from llslllllllllsllsslll. 448/969 Four letters picked without replacement from oenemem. Give prob of picking 1 n, 1 o, and 2 m. 1/35 Calculate prob of picking 4 b when four letters picked without replacement from bbeebebbee. 1/42 What is prob of picking 1 j and 2 r when three letters picked without replacement from jjrjjjrrjjrjjj? 15/91 Two letters picked without replacement from llvvvl. What is prob of picking 2 l? 1/5 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from lynffgq. 2/21 Calculate prob of picking 2 m and 1 f when three letters picked without replacement from {m: 12, f: 7}. 154/323 Two letters picked without replacement from jfjjjjjfffjf. Give prob of picking 2 f. 5/33 Three letters picked without replacement from jhoojoo. Give prob of picking 1 o, 1 j, and 1 h. 8/35 Two letters picked without replacement from xdyxxxxqttttddxqddt. Give prob of picking 2 q. 1/171 Three letters picked without replacement from colocwclcldlcyywl. Give prob of picking 1 o and 2 l. 1/34 Three letters picked without replacement from {l: 2, a: 4, y: 10}. What is prob of picking 3 a? 1/140 Four letters picked without replacement from {z: 11, m: 2}. Give prob of picking 3 z and 1 m. 6/13 Calculate prob of picking 2 j, 1 e, and 1 l when four letters picked without replacement from cceroejrjccrllcrjljc. 12/1615 What is prob of picking 2 l when two letters picked without replacement from blbbblbbb? 1/36 What is prob of picking 2 p and 1 b when three letters picked without replacement from bupkupp? 3/35 Three letters picked without replacement from ggvsvcgslov. What is prob of picking 1 o, 1 g, and 1 s? 2/55 What is prob of picking 1 b and 2 x when three letters picked without replacement from xxxxxggxxxgxbxx? 11/91 Four letters picked without replacement from pphppppp. What is prob of picking 4 p? 1/2 Two letters picked without replacement from {r: 1, o: 1, m: 2}. Give prob of picking 1 r and 1 m. 1/3 Four letters picked without replacement from {c: 3, b: 2, r: 3}. What is prob of picking 1 b and 3 c? 1/35 Calculate prob of picking 2 z when two letters picked without replacement from {p: 10, z: 2, f: 4}. 1/120 Four letters picked without replacement from llllllllldlllllldll. Give prob of picking 2 d and 2 l. 2/57 Three letters picked without replacement from rttjrtrpssttrptrg. What is prob of picking 2 g and 1 j? 0 Calculate prob of picking 1 f, 1 t, and 1 j when three letters picked without replacement from {f: 3, u: 4, t: 2, w: 4, j: 3}. 9/280 Two letters picked without replacement from {a: 1, d: 1, l: 3, g: 2}. What is prob of picking 1 g and 1 l? 2/7 Four letters picked without replacement from yrjfyjyffrfffjfyrr. What is prob of picking 2 r, 1 y, and 1 f? 14/255 Calculate prob of picking 2 d and 1 p when three letters picked without replacement from {e: 3, l: 2, x: 5, d: 2, p: 6}. 1/136 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {p: 5, o: 4, y: 5}. 25/91 Calculate prob of picking 4 i when four letters picked without replacement from {i: 14, r: 1}. 11/15 Four letters picked without replacement from qggggggg. Give prob of picking 4 g. 1/2 What is prob of picking 4 w when four letters picked without replacement from {y: 3, c: 8, s: 1, w: 4, m: 1}? 1/2380 Three letters picked without replacement from oyssbyvoboyq. Give prob of picking 1 b, 1 v, and 1 q. 1/110 Three letters picked without replacement from {r: 9}. What is prob of picking 3 r? 1 Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {y: 2, c: 3, g: 4, l: 1, h: 6}. 9/280 Calculate prob of picking 4 g when four letters picked without replacement from jjqxjqggxjxgxgxxxq. 1/3060 What is prob of picking 2 y and 2 m when four letters picked without replacement from {y: 2, m: 6}? 3/14 Three letters picked without replacement from {c: 2, x: 2, o: 1}. What is prob of picking 1 o and 2 c? 1/10 Three letters picked without replacement from {f: 4, q: 2, p: 1, w: 2, a: 1}. What is prob of picking 1 q, 1 p, and 1 f? 1/15 Two letters picked without replacement from {e: 2, t: 11}. What is prob of picking 2 e? 1/78 What is prob of picking 1 d and 2 k when three letters picked without replacement from nnnnkndkk? 1/28 Two letters picked without replacement from uuqquqquuqqq. What is prob of picking 2 u? 5/33 Three letters picked without replacement from ryaa. What is prob of picking 1 y, 1 a, and 1 r? 1/2 Calculate prob of picking 2 z when two letters picked without replacement from {g: 12, z: 4, y: 4}. 3/95 Calculate prob of picking 3 g when three letters picked without replacement from {k: 7, g: 4, j: 2}. 2/143 Calculate prob of picking 1 c and 3 e when four letters picked without replacement from {c: 2, e: 4}. 8/15 Calculate prob of picking 2 v when two letters picked without replacement from {z: 1, v: 2, m: 1, d: 1, t: 2}. 1/21 Calculate prob of picking 2 t when two letters picked without replacement from nnjtanjptvnntpj. 1/35 Two letters picked without replacement from {f: 17, r: 3}. What is prob of picking 2 r? 3/190 Three letters picked without replacement from {h: 2, a: 1, m: 1, p: 1}. Give prob of picking 1 p, 1 h, and 1 a. 1/5 Four letters picked without replacement from {n: 2, e: 1, d: 2, s: 1}. Give prob of picking 2 n, 1 e, and 1 d. 2/15 What is prob of picking 2 t when two letters picked without replacement from bbt? 0 Three letters picked without replacement from hpph. Give prob of picking 1 p and 2 h. 1/2 What is prob of picking 3 v when three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
7/3768 and 30/400507. 9612168 What is the smallest common multiple of 2562 and 105? 12810 What is the common denominator of 91/7050 and -16/33528625? 201171750 What is the lowest common multiple of 232458798 and 7044206? 232458798 Find the common denominator of 109/96906 and -91/290718. 290718 What is the common denominator of -37/174036081 and 35/58012027? 174036081 Calculate the lowest common multiple of 884 and 222513408. 222513408 Find the common denominator of -71/282382503 and 37/1178. 564765006 What is the common denominator of 103/26831612 and 41/48? 321979344 Calculate the smallest common multiple of 7 and 1460242. 1460242 What is the common denominator of -107/376260 and 101/1505040? 1505040 Calculate the lowest common multiple of 19360 and 4036802. 322944160 Calculate the smallest common multiple of 12446 and 8295259. 16590518 Calculate the common denominator of 7/157412 and 127/104052. 6139068 Calculate the least common multiple of 15 and 70616169. 353080845 What is the smallest common multiple of 2295 and 40905995? 1104461865 Calculate the smallest common multiple of 3760040 and 19740210. 78960840 Find the common denominator of -157/10856472 and -1/21648. 21712944 Calculate the common denominator of -101/6885 and 38/4589235. 41303115 What is the common denominator of -79/22626 and -9/610064? 16471728 Find the common denominator of -15/210496 and -39/178816. 53465984 Calculate the lowest common multiple of 1844568 and 77471856. 77471856 Find the common denominator of 75/64955468 and -119/3984. 779465616 Calculate the lowest common multiple of 78309 and 466690. 46202310 What is the smallest common multiple of 561 and 524457? 98073459 What is the common denominator of 53/84831 and -23/10? 848310 Calculate the common denominator of -48/2304985 and -1/18050. 23049850 What is the least common multiple of 160 and 44184688? 441846880 What is the lowest common multiple of 13410338 and 1322146? 93872366 Find the common denominator of 139/11375424 and 5/576. 11375424 What is the smallest common multiple of 4870008 and 1170? 24350040 Find the common denominator of 137/2626812 and -19/80208. 10507248 What is the smallest common multiple of 95428292 and 1340285? 477141460 Find the common denominator of -1/22080 and 89/463680. 463680 What is the lowest common multiple of 244992 and 44544? 489984 What is the lowest common multiple of 1566326476 and 18? 14096938284 What is the lowest common multiple of 456480 and 4160? 11868480 What is the common denominator of -74/3995255 and 47/683680? 127848160 Calculate the lowest common multiple of 6 and 413743854. 413743854 Calculate the common denominator of 81/51433762 and -61/20. 514337620 Calculate the least common multiple of 567430 and 25360. 4539440 Calculate the lowest common multiple of 19390 and 415500. 2908500 Calculate the smallest common multiple of 5944020 and 5048. 11888040 What is the common denominator of -55/378 and 121/83717760? 753459840 What is the least common multiple of 39 and 288382653? 288382653 Find the common denominator of -27/2220680 and 79/4290. 86606520 What is the least common multiple of 1239882 and 53314926? 53314926 What is the common denominator of 49/94821 and 68/402894429? 402894429 Calculate the lowest common multiple of 22833 and 5355607. 48200463 What is the least common multiple of 247230 and 12300? 2472300 Calculate the common denominator of -107/2130 and -56/56475. 8019450 Calculate the common denominator of -65/9650476 and -19/847. 67553332 Calculate the smallest common multiple of 344 and 796496. 34249328 What is the common denominator of -37/767943 and 79/23806233? 23806233 Calculate the lowest common multiple of 5355 and 797. 4267935 What is the smallest common multiple of 98964705 and 18? 593788230 Calculate the smallest common multiple of 20844 and 10703394. 21406788 Calculate the common denominator of 121/11840 and -109/5253408. 52534080 Find the common denominator of -61/792 and -41/12128. 1200672 What is the lowest common multiple of 506596 and 61780? 2532980 Calculate the least common multiple of 738787824 and 12. 738787824 What is the smallest common multiple of 108511 and 577031? 283322221 Find the common denominator of -61/74384 and -13/948396. 3793584 What is the common denominator of 151/3997638 and 19/526005? 19988190 Calculate the smallest common multiple of 42 and 127601026. 382803078 Find the common denominator of 59/6678 and 17/128046. 142515198 Calculate the lowest common multiple of 394028 and 88. 8668616 Calculate the common denominator of -58/1217505 and -73/243501. 1217505 What is the common denominator of 61/1866864 and -163/7866? 5600592 What is the smallest common multiple of 1057266 and 2617992? 54977832 What is the lowest common multiple of 74139 and 348570? 8614210410 Find the common denominator of -63/8693530 and 45/9562883. 95628830 What is the common denominator of 69/163467260 and -13/14860660? 163467260 Calculate the common denominator of 87/75934444 and 36. 75934444 Calculate the lowest common multiple of 211230 and 60763830. 182291490 Calculate the common denominator of -23/10914192 and -13/291045120. 873135360 What is the common denominator of -16/67819 and 55/26? 1763294 What is the least common multiple of 6052851 and 864693? 6052851 What is the common denominator of -8/15345 and 119/5984550? 5984550 Find the common denominator of 97/33970284 and -157/70860. 169851420 Find the common denominator of -85/28024 and -2/565. 140120 Calculate the least common multiple of 48 and 11356160. 34068480 What is the lowest common multiple of 506 and 584706? 6431766 Calculate the lowest common multiple of 25122 and 5079858. 269232474 What is the lowest common multiple of 1743486 and 1182? 343466742 Calculate the least common multiple of 2332 and 600870. 700614420 Find the common denominator of 47/103254 and 25/23886092. 71658276 Find the common denominator of 13/168705552 and 193/278760. 843527760 Calculate the common denominator of 4/77355 and -43/8167230. 1559940930 Calculate the smallest common multiple of 4495190 and 570. 256225830 Calculate the common denominator of 19/1544 and -17/693640. 133872520 What is the common denominator of -157/3360210 and 173/7680480? 53763360 Calculate the common denominator of -107/8582 and -15/234166. 1639162 What is the lowest common multiple of 724052 and 1296484? 1764514724 What is the smallest common multiple of 274428 and 102564? 10153836 Find the common denominator of -25/128 and 27/26764496. 214115968 Find the common denominator of -13/689631 and -82/23115. 79307565 What is the common denominator of -113/20 and 38/75581623? 1511632460 What is the least common multiple of 4512838 and 154? 31589866 Calculate the common denominator of 101/173952 and 39/148. 6436224 Calculate the smallest common multiple of 152380098 and 79. 152380098 Calculate the lowest common multiple of 41640 and 1014. 7037160 Calculate the least common multiple of 17324190 and 25. 86620950 Calculate the common denominator of 151/10428 and -193/128399964. 128399964 Calculate the lowest common multiple of 6107864 and 1624. 6107864 Calculate the lowest common multiple of 36 and 14348652. 43045956 What is the lowest common multiple of 8356 and 11030? 46083340 Calculate the common denominator of -73/82718 and 3/2242. 1571642 What is the common denominator of 23/677144 and 56/1100359? 8802872 What is the lowest common multiple of 90431352 and 5448? 90431352 What is the smallest common multiple of 190345545 and 333720? 1522764360 Calculate the lowest common multiple of 17424 and 3958152. 23748912 Calculate the common denominator of -139/3575712 and 49/2107116. 117998496 Calculate the smallest common multiple of 245860 and 6308250. 239713500 What is the lowest common multiple of 291 and 3225048? 312829656 Calculate the common denominator of 49/14706 and -61/12882. 1661778 What is the least common multiple of 13132 and 107401? 3007228 What is the least common multiple of 170534434 and 6? 511603302 Calculate the common denominator of -55/35958 and 43/117936. 54368496 Find the common denominator of -107/1400718 and 113/20106. 4202154 Calculate the least common multiple of 1576498 and 154. 1576498 What is the smallest common multiple o
{ "pile_set_name": "DM Mathematics" }
+ 2*n, 4*o - d*n = -925. What is the tens digit of 6 + o/(-15) + 4/(-6)? 2 Let r = 32 - 14. Suppose -24*c = -r*c + 210. What is the tens digit of (209/2)/1 + c/70? 0 Let a(j) = -27*j - 16. Let t = 17 + 6. Suppose -38 = 5*l - t. What is the units digit of a(l)? 5 Suppose -22*j - 10 = -76. Suppose -d = -j*d - 3*z + 1469, 4*z + 2928 = 4*d. What is the tens digit of d? 3 Let k = -4 + 7. Suppose 6*i = 2*i - 2*l + 28, 3*l = -k*i + 24. What is the units digit of 36/(-10)*(-165)/i? 9 Let g be (-6090)/(-63) + (-1)/(-3). Let v(i) = i**2 - i - 70. Let z be v(0). Let s = z + g. What is the units digit of s? 7 Let p be ((-4)/(72/(-19467)))/(6/8). Let v = p - 812. What is the units digit of v? 0 Let r = -124 + 122. What is the tens digit of -29*2*r/2? 5 What is the thousands digit of 5/(-35) + ((-461202)/(-98) - -17)? 4 Suppose 763 + 155 = 6*o. Suppose -o = -6*a + 57. What is the units digit of a? 5 Let g(z) = -447*z - 6317. What is the units digit of g(-99)? 6 What is the units digit of (-62933)/(-3) - 6/(-4)*(-8)/(-9)? 9 Let n = -20628 + 21176. What is the tens digit of n? 4 Let g be (-1 - (-12)/3) + -70. Let h = g - -55. Let w = 114 + h. What is the units digit of w? 2 Let j be 58/5 + 5/50*4. Suppose j = 5*i - 2*c - 2, -5*c = -3*i + 16. What is the units digit of (1 - 2 - (-85 + 7)) + i? 9 Let w(k) = -4*k**2 + 80*k + 14. Let v be 495/(-54)*-2 - (-2)/(-6). What is the hundreds digit of w(v)? 1 Suppose -4*b - 5*c + 1943 = -b, 3*b - 5*c - 1933 = 0. Let x = b - -398. What is the hundreds digit of x? 0 Let l = -626 + 1380. Let k = l - 106. What is the units digit of k? 8 Let y(i) = -47*i**3 - 8*i**2 - 37*i - 24. What is the units digit of y(-5)? 6 Let f = -4178 - -7307. What is the units digit of f? 9 Let a(n) = 168*n**2 - 380*n + 131. What is the thousands digit of a(21)? 6 Suppose 205*c = -10*c + 4500591 - 962981. What is the tens digit of c? 5 Suppose 0 = -8364*d + 8350*d + 169134. What is the tens digit of d? 8 Suppose 3*c + 3*f + 2*f = 299, -c = -2*f - 85. Suppose -261 = 7*k - c. Let h = 26 + k. What is the units digit of h? 2 Let p(g) = 899*g + 905. What is the ten thousands digit of p(33)? 3 Suppose b = -a + 1688, 0 = 3*a - 6*b + 2*b - 5078. Suppose -4*x + 230 = -a. What is the hundreds digit of x? 4 Suppose -60*u + 4020 = -58*u. Suppose -u = 5*q - 8*q. Suppose 340 = 5*l - q. What is the units digit of l? 2 Suppose -18*u - 12682 = -2*h + 118, -u - 25460 = -4*h. What is the units digit of h? 4 Let s = -55 + 27. What is the units digit of (-42)/s*2/(-1) - -1843? 0 Let r = -42 - -50. Suppose 5*d = -5*j + r*d - 2, 5*j - 2 = 2*d. Suppose -3*s - 68 = -b, -j = -3*s + 1. What is the tens digit of b? 7 Let n = 584 - 586. What is the tens digit of 4/8 + (-791)/n? 9 Let j be (4 - -1) + -1*1 + 22. Suppose -10*a + 13572 = j*a. What is the units digit of a? 7 What is the tens digit of 33165 + (-10 - -2 - -4)? 6 Let o be -2*3*2*(-3)/9. Let c be 90*3/o*(-12)/18. Let y = -43 - c. What is the units digit of y? 2 Suppose 49290 + 83877 = 21*t - 192081. What is the units digit of t? 8 Suppose -73*d - 2*c + 31000 = -69*d, -5*d = 2*c - 38751. What is the tens digit of d? 5 Let x be 1/((-2)/12)*(-6 - 6). Suppose 2*n = -4*t - 48, -x = 3*n - 4*t - t. What is the units digit of 40 - (-3 - n/3)? 5 Let a be (3 - 2)/(((-196)/602)/14). Let j = -15 - 88. Let y = a - j. What is the units digit of y? 0 Let z(a) = 18 + 29*a - 17*a + 7*a. What is the units digit of z(8)? 0 Suppose -2 = -2*y - i + 1, 18 = 4*y - 2*i. Suppose 0 = 5*b + 4*h - 740, y*b - h - 431 = -6*h. Let z = -13 + b. What is the tens digit of z? 3 Let b = 17552 + 34029. What is the hundreds digit of b? 5 Let c(m) = -1226*m + 2834. What is the ten thousands digit of c(-19)? 2 Suppose 0*c = 3*c - 30. What is the tens digit of (-17360)/(-25) + 3 - (-6)/c? 9 Let w = -223 - 731. Let z = -313 - w. What is the tens digit of z? 4 Suppose -5*x + 10*a = 5*a - 35, 3*a - 9 = -3*x. Suppose -5*d + 5*z - 78 + 2633 = 0, -1008 = -2*d - x*z. What is the hundreds digit of d? 5 Suppose 4*v - 43612 = -4*i, 4*i = -19*v + 22*v + 43633. What is the ten thousands digit of i? 1 Let u = -1379 - -9599. What is the tens digit of u? 2 Let a(s) = 17*s**3 + 5*s**2 + 5*s + 2. Let f be a(-2). What is the units digit of (f/(-10))/(130/1625)? 5 Let c be (-45)/27 + 3930/(-18). Let j = c + 726. What is the tens digit of j? 0 Suppose -4*n + 7446 + 6405 = h, -2*n - 5*h = -6939. What is the units digit of n? 2 Suppose 160*l - 1897 = 159*l - 3*y, -y + 5699 = 3*l. What is the units digit of l? 0 Let r be (-6)/(-33) + (-9)/66*-6. What is the hundreds digit of 0 - ((-3)/r + -523)? 5 Suppose 9*r = 7*r. Suppose -3*m + 5016 = -r*m. What is the units digit of 4/10 + m/20 + 0? 4 Let j = -158 - -162. Suppose -2*c = j*s - 207 - 1619, 5*c = s - 440. What is the tens digit of s? 5 Let h be (-1)/(((-4)/(-40))/(-1)). Let n(d) be the third derivative of -d**6/120 + d**5/5 + d**4/8 + d**3/3 + 14*d**2. What is the tens digit of n(h)? 3 Let i(w) = 7*w**3 + 61*w**2 - 32*w + 12. What is the thousands digit of i(11)? 6 Suppose 41566 = -681*i + 695*i. What is the units digit of i? 9 Suppose o + 18*u = 17*u + 3137, -3*u = 3. What is the thousands digit of o? 3 Let m(k) = 80*k - 55. Let q be m(4). Suppose 5*t - 1290 = -5*j, -4*t - 5*j + q = -767. Let u = 501 - t. What is the tens digit of u? 4 Let h(l) = 13*l**2 - l. Let o(m) = -5*m - 1. Let f be o(0). Let n be h(f). What is the tens digit of n/(-77) + (-1368)/(-22)? 6 Suppose -18 = -m + y, -5*m + 0*y + 94 = -3*y. What is the tens digit of (10/m)/(2/796)? 9 What is the hundreds digit of (0 - (-20)/(-30))*-1200? 8 Let n(y) = -11*y + 52. Let f be n(-14). Suppose 13*t - f = 15. What is the tens digit of t? 1 Suppose 694 = -6*k - 296. Let a = 413 - k. What is the hundreds digit of a? 5 Suppose 7*t - 11*t + 8 = 0. Suppose -3*d = 9, t*r + 3*d + 3 = -0*d. Suppose j = 5, r*f = -2*f - 3*j + 50. What is the units digit of f? 7 Suppose 28*n + n = -464. What is the units digit of 74107/99 - n/36? 9 Suppose 4*o - 7*o - 2*p = -6217, -4144 = -2*o - p. What is the thousands digit of o? 2 Suppose -4*r + 5*r = k - 196, 0 = -2*k + r + 396. Suppose 22*g = 21*g + k. Let z = -101 + g. What is the tens digit of z? 9 Let k = -3652 + 6540. What is the units digit of k? 8 Let n be ((-3)/2 + 1)*-6. Suppose 10 = 5*g - l - 6, -n*g = l - 8. Suppose g*u - 175 = -40. What is the tens digit of u? 4 Suppose 19*b = -27*b - 43746. Let w = -554 - b. What is the units digit of w? 7 Let c = -5274 + 12025. What is the tens digit of c? 5 Suppose -2*t - v = -6*v - 8, 0 = -3*t + v + 12. Suppose -4*i - t + 0 = 5*g, i - g = -1. Let m(w) = 6*w**2 + 3*w + 3. What is the units digit of m(i)? 6 Let y = 144 + -141. What is the hundreds digit of y/(3/313) + -6? 3 Suppose s + 2 = -4*n, 0 = s - n - 3*n + 2. Let j be s - (21 - 3/1). What is the units digit of ((-108)/45)/(2/j)? 4 Let h = 564 - 552. What is the thousands digit of h/(-15) - (-52644)/30? 1 Suppose 2*h - 2245 = -3*h. Suppose 1215 = 2113*g - 2098*g. Suppose -3*s = v - g, -7*s + 3*s = 5*v - h. What is the tens digit of v? 9 Let w = 1403 - 258. Suppose 0 = -5*m + 10*m - w. What is the units digit of m? 9 Suppose -14*o + 11*o + 2*a + 4262 = 0, -a + 7086 = 5*o. What is the units digit of o? 8 Let l be -2 + (-36)/(-6) + 808. Let q = 1403 - l. What is the units digit of q? 1 Let b(o) = -4*o - 4. Let d = -34 - -34. Let w be b(d). Let f(g) = 6*g**2 + 3*g + 2. What is the units digit of f(w)? 6 Let k(z) = 3*z**2 + 27*z + 157. Let r(c) = 8*c**2 + 55*c + 314. Let n(j) = 5*k(j) - 2*r(j). What is the units digit of n(23)? 3 Suppose -5*w - 2072 + 16 = 4*f, f = -4. Let b = -32 - w. What is the hundreds digit of b? 3 What is the tens digit of 24347 + 16/(-24)*9 + 2? 4 Let a be (1/2)/(13/26) - -244. Let z = 39 + a. What is the units digit of z? 4 Let d = 49 - 52. Let o be (0 + d + 5)/((-1)/(-3)). Suppose -o*g = -252 - 306. What is the tens digit of g? 9 Suppose 4*o - z = -4*z - 1714, -3*o - z - 1288 = 0. Let g = -208 - o. Let i = g + -75. What is the tens digit of i? 4 Let l be 4/((-400)/(-330) - (-12)/(-22)). Let n(m) = 15*m**2 - 18*m + 74. What is the hundreds digit of n(l)? 5 Let k = 1123 - -7449. What is the units digit of k? 2 Let f(p) = -p**3 + 5*p - 2. Let k be f(3). Let d(j) = -27*j - 81. Let q be d(-7). Let g = q - k. What is the
{ "pile_set_name": "DM Mathematics" }
5 -6.5 Calculate -24*-0.07. 1.68 What is 0.1 times 3.99? 0.399 -1.911*1 -1.911 What is -0.85 times 4? -3.4 Multiply 117 and -1.1. -128.7 What is -3 times 3.5? -10.5 Work out 22 * 105. 2310 0.1697 times -0.5 -0.08485 Multiply -0.3 and 26. -7.8 What is the product of -0.039 and 0.8? -0.0312 Work out -0.06 * -8. 0.48 What is the product of 3 and 3.07? 9.21 Product of -0.09 and 1110. -99.9 Work out -83 * -81. 6723 -8*-83.3 666.4 What is the product of 31.689 and 4? 126.756 Calculate 1.1*-69. -75.9 0.03604 times -0.5 -0.01802 Product of -2 and -5.1. 10.2 Calculate -0.093*-3. 0.279 Multiply 0.5 and 12. 6 -3425 * 0.1 -342.5 Work out 0 * -2.17. 0 What is the product of 3.68 and 0.5? 1.84 0.477 times -3 -1.431 What is 0.02 times -0.0222? -0.000444 What is 319 times 0.4? 127.6 0.2*-30 -6 Product of -10 and 5. -50 Calculate 202*4. 808 43*3 129 Calculate 0.17*21. 3.57 Calculate -5*-21. 105 Calculate -6.68*-0.05. 0.334 -12*0.2 -2.4 Product of -7000 and 3. -21000 Work out -0.3 * -89. 26.7 What is 72.7 times 5? 363.5 What is -48 times 7? -336 Work out 0.0117 * -5. -0.0585 0.069*0.1 0.0069 Product of -13.2 and -80. 1056 12*-703 -8436 0.023 times 2 0.046 What is 0 times 7.5? 0 What is -66 times 0.3? -19.8 What is -1 times -2.61? 2.61 What is -743 times -0.4? 297.2 Calculate 2*5639. 11278 Multiply 0.4 and -649. -259.6 Product of -54 and -0.66. 35.64 What is the product of 0.07 and -3.6? -0.252 41*-172 -7052 What is -3 times -4.83? 14.49 -274 * -0.1 27.4 -3*-1516 4548 Multiply 0.08 and -263. -21.04 What is the product of 0.383 and 0.2? 0.0766 Work out 39.9 * -15. -598.5 1964 times 0 0 2 * 119 238 0.5*-0.2785 -0.13925 What is the product of -0.138 and 3? -0.414 85 times -1 -85 -359 times -0.3 107.7 Product of 4 and -223. -892 What is the product of -1.2 and -443? 531.6 What is the product of 2.01 and 0.035? 0.07035 Work out -71 * 0.037. -2.627 -8 times 0.0191 -0.1528 Calculate -0.49*-463. 226.87 Multiply 2 and 0.7. 1.4 12.6*-0.03 -0.378 What is the product of 0.1 and 0.38? 0.038 -0.02*0.7 -0.014 What is the product of -0.2316 and -0.3? 0.06948 136 times -0.5 -68 What is the product of -311 and 0.3? -93.3 What is the product of 0.2 and 25.2? 5.04 Work out 0.5 * -225. -112.5 -0.4 * 6149 -2459.6 Multiply 149 and 0. 0 What is the product of 46 and 0.395? 18.17 Calculate -1122*-0.1. 112.2 4 times -16.5 -66 -3*14 -42 What is -5 times 0.112? -0.56 Calculate 0.007*-21. -0.147 Multiply -0.2 and -0.642. 0.1284 158 * 47 7426 What is the product of -3 and -100? 300 Multiply 2 and 294. 588 Product of -0.014 and 6. -0.084 Product of 91 and 3. 273 What is the product of -0.48 and -0.17? 0.0816 Work out -691 * -5. 3455 Multiply 0.4 and 0.0181. 0.00724 What is the product of 1.142 and -1? -1.142 216*11 2376 Work out -30.3 * 2. -60.6 What is -0.5 times 0.59? -0.295 Calculate -0.1*-4593. 459.3 0.006*596 3.576 -3.694 * -0.4 1.4776 Product of -0.3 and -2.4. 0.72 0.01 * 232 2.32 What is the product of -5 and 84? -420 1059 times 0.2 211.8 -3 times 0.25 -0.75 Calculate -385*-3. 1155 Calculate 8*-0.1. -0.8 -0.006 times -0.0533 0.0003198 0.21 * 2.081 0.43701 -0.005*0.5 -0.0025 36 times 5 180 -0.084 * -5 0.42 What is 0.0632 times 3? 0.1896 -0.4 times 0.0668 -0.02672 -0.1 * 64.03 -6.403 What is -1318 times -2.6? 3426.8 139*18 2502 Multiply -0.06 and 4. -0.24 -0.3 times -731 219.3 Calculate -12*1113. -13356 Work out -1 * -0.4894. 0.4894 What is 554 times 16? 8864 Calculate -0.0234*0.11. -0.002574 -0.06 times -0.2 0.012 What is 4 times -0.5? -2 What is the product of 3 and -70? -210 Product of -0.1 and -0.0094. 0.00094 -1.5 times -1.73 2.595 What is the product of -0.3 and 0.5? -0.15 What is -18.8 times -3? 56.4 What is 41 times -201? -8241 What is 0.72 times -103? -74.16 49*3 147 Multiply 0.18 and -98. -17.64 4*1.1 4.4 -1.35 times -26 35.1 What is 0.09 times -34? -3.06 What is -0.6 times 0.36? -0.216 Work out 0.5 * -0.0453. -0.02265 Calculate 0.05*-28. -1.4 -4*0.09 -0.36 8.7 * -123 -1070.1 What is -14.9 times 0.1? -1.49 0.1*-269 -26.9 0.3 times -15 -4.5 What is -37 times 1? -37 What is the product of -0.02 and -1876? 37.52 What is -6 times 425? -2550 Multiply -4.9 and -13. 63.7 4.9 * 5 24.5 What is 206 times 0? 0 39 times 87 3393 -24 * -17 408 Multiply 0.064 and -2. -0.128 0.1 times -36 -3.6 135 times -20 -2700 Calculate -0.33*-70. 23.1 -9.6 * -11 105.6 Calculate 8.299*-3. -24.897 Multiply 823 and 0.1. 82.3 What is the product of 7 and -391? -2737 What is 55 times 3? 165 Calculate -2*79. -158 What is the product of 0.05 and -1615? -80.75 What is the product of -10 and -16.5? 165 Product of 51 and 1.88. 95.88 0*1105 0 Multiply 17.22 and -3. -51.66 Product of 11 and 0.2. 2.2 Product of 4482 and -3. -13446 Calculate 23*-0.3. -6.9 -0.255*2.4 -0.612 -5.13*4 -20.52 Work out -0.064 * 5. -0.32 Multiply 41 and 0.9. 36.9 -2 * 0.051 -0.102 Product of 9 and -0.8. -7.2 What is -582 times -2? 1164 Multiply -4 and 1328. -5312 Work out 1149 * -2. -2298 Product of -13.5 and 11. -148.5 1112.7 * -2 -2225.4 Product of 0.082 and -0.5. -0.041 13 * -1.41 -18.33 Multiply 0.5 and 0.006. 0.003 What is 137 times 0.2? 27.4 Multiply 650 and -0.04. -26 1 times 210 210 Multiply -2 and -92. 184 Multiply 0 and -55. 0 2007 * -4 -8028 Calculate 0.01*2. 0.02 What is the product of -1.4 and 0.018? -0.0252 Product of 140 and -4. -560 What is 1.43 times -2? -2.86 25.77 * 1.1 28.347 Work out 22.4 * -0.5. -11.2 3 times 0.86 2.58 -1*-23 23 0.8*32 25.6 473*2 946 536*-0.027 -14.472 1.155 * 3 3.465 Calculate 0.9*150. 135 What is the product of 3 and 594? 1782 What is the product of -3928 and -2? 7856 Work out -0.95 * 0.04. -0.038 Calculate -0.1*-69. 6.9 Product of 0.3 and 0.22. 0.066 21 times 62 1302 -34.1*-12 409.2 Multiply -0.02 and -109. 2.18 What is 0.4 times 15? 6 Multiply 339 and 0. 0 Work out -8 * -21.3. 170.4 Calculate 0.4*1.85. 0.74 Work out -0.054 * 0.1. -0.0054 -4 times 2.314 -9.256 0.05043 times -0.2 -0.010086 5 * -73 -365 What is the product of 2.9 and 0.6? 1.74 -0.4 * -7.2 2.88 What is the product of -144 and -9? 1296 -0.061 * 16 -0.976 -389*-0.1 38.9 0.4*-6.5 -2.6 -0.4 times -70 28 Product of -0.9392 and 1. -0.9392 Multiply 13.7 and 2. 27.4 0.05169 * 6 0.31014 Calculate 3.15*2. 6.3 Product of 0.1565 and 2. 0.313 Product of -30 and 3. -90 What is 2.9 times 1? 2.9 -0.16 times -124 19.84 -5173.5 * 5 -25867.5 Work out -0.01 * 227. -2.27 -266 times -0.5 133 46*33 1518 What is 3 times 105? 315 Multiply -2 and -0.903. 1.806 Calculate 0*0.103. 0 What is the product of -0.4 and 0.033? -0.0132 What is -2 times 39.93? -79.86 54*-4 -216 Multiply -60.8 and 0.4. -24.32 Multiply 0.5 and -200. -100 -0.07*-18.4 1.288 Work out -6.16 * 0.03. -0.1848 What is -403.8 times -3? 1211.4 -0.8868 * -0.4 0.35472 Calculate 0.08*31.6. 2.528 Work out 0.4 * 3352. 1340.8 0.5 * -0.3 -0.15 Product of 26 and -3. -78 What is the product of 0.076 and -0.1? -0.0076 -0.152 * -6 0.912 0.168 * -0.4 -0.0672 -89 * 1 -89 What is 7 times -0.236? -1.652 Calculate 1*-0.036. -0.036 Work out 0.47 * 2.3. 1.081 Product of 11 and 336. 3696 -0.05 times 0 0 What is the product of 455 and 0? 0 716 times -0.5 -358 -0.01483 times 5 -0.07415 What is -1093 times 14? -15302 What is 0.83 times 0.76? 0.6308 What is 0.7 times 18.2? 12.74 Work out -0.08 * 1.69. -0.1352 696 * -0.5 -348 -1.96*0.4 -0.784 -9.66 * 4 -38.64 -0.98 * -4 3.92 Product of 376 and -7. -2632 -1809*5 -9045 -3 times -7.7 23.1 What is the product of 0.4 and -3.11? -1.244 Product of -0.2 and 3.19. -0.638 What is 0.5 times -264? -132 Product of -4 and -6344. 25376 235 times -1 -235 Calculate -5*0.47. -2.35 Calculate 3.8*-0.5. -1.9 -3 * 18 -54 -67 * -10 670 Calculate -0.5*-7.03. 3.515 -2 * -288.6 577.2 What is the product of -0.12372 and -0.1? 0.012372 Multiply 3 and 0.47. 1.41 What is -0.02 times 145? -2.9 Product of 0.1 and -15.3. -1.53 0.5 times 223 111.5 -0.1 times 0.5866 -0.05866 What is 9431 times -0.2? -1886.2 Calculate 19*9. 171 Work out -0.016 * 38. -0.608 What is the product of 0 and 14? 0 Calculate -0.0276*0.1. -0.00276 1.3 times -0.2 -0.26 -0.01*-24 0.24 Multiply 0.1 and 0.0037. 0.00037 Multiply -0.02 and -5. 0.1 What is the product of -15.4 and 9? -138.6 0.5*70 35 5 * 0.3 1.5 Work out 5 * 46. 230 Calculate 76*7. 532 Calculate 12540*-0.4. -5016 0 times -0.07 0 Multiply -0.2334 and 0.3. -0.07002 0.2 time
{ "pile_set_name": "DM Mathematics" }
in -14, -23, -18, 7, 58? 141 What is the next term in -110, -217, -324? -431 What is next in 112, 220, 322, 418, 508, 592? 670 What is next in 149, 145, 139, 131, 121? 109 What is the next term in -1049, -1046, -1043, -1040? -1037 What is the next term in 909, 1832, 2755, 3678, 4601? 5524 What comes next: 8936, 8946, 8970, 9014, 9084, 9186, 9326, 9510? 9744 What is next in -378, -380, -382? -384 What comes next: -6, 59, 142, 237, 338, 439? 534 What is the next term in 1735, 1734, 1733, 1732, 1731? 1730 What is next in 147, 296, 445? 594 What comes next: -1068, -2138, -3208, -4278, -5348, -6418? -7488 What is next in 1, -106, -393, -950, -1867, -3234, -5141? -7678 What is next in -46, -58, -68, -76, -82, -86, -88? -88 What is next in -35, -64, -91, -116? -139 What is next in 69, 110, 135, 138, 113, 54, -45? -190 What is the next term in -44, -40, -32, -20? -4 What is the next term in 566, 2260, 5092, 9068, 14194, 20476, 27920, 36532? 46318 What is next in -285, -551, -817? -1083 What comes next: -40, -86, -144, -220, -320, -450, -616? -824 What is next in -384, -366, -360, -372, -408, -474, -576? -720 What comes next: -128, -250, -370, -488, -604? -718 What is next in 75, 159, 231, 285, 315, 315? 279 What is the next term in 10296, 10310, 10340, 10392, 10472? 10586 What comes next: 102, 110, 120, 132? 146 What comes next: 249, 235, 207, 159, 85, -21, -165? -353 What is the next term in 310, 309, 308, 307, 306? 305 What is next in -4, 27, 96, 221, 420, 711, 1112? 1641 What comes next: -882, -1774, -2692, -3648, -4654, -5722? -6864 What is next in 3009, 3011, 3013, 3015? 3017 What comes next: -74, -70, -66, -62, -58, -54? -50 What is next in -36, -25, 2, 51, 128, 239, 390, 587? 836 What is the next term in 52, 45, 48, 67, 108, 177, 280? 423 What is the next term in 1485, 1490, 1495, 1500, 1505, 1510? 1515 What is the next term in -5, -13, -21, -29? -37 What is next in -53, -111, -229, -437, -765, -1243, -1901? -2769 What comes next: 28, 7, -28, -83, -164, -277, -428? -623 What comes next: -101, -111, -119, -125? -129 What is the next term in 3376, 3378, 3382, 3388, 3396, 3406, 3418? 3432 What is the next term in -2559, -2558, -2557, -2556, -2555? -2554 What comes next: -21, -89, -207, -375, -593, -861? -1179 What is the next term in 620, 580, 540, 500? 460 What is the next term in -70, -135, -218, -325, -462, -635, -850? -1113 What is next in 203, 417, 643, 887, 1155? 1453 What comes next: -377, -753, -1129, -1505, -1881, -2257? -2633 What comes next: -394, -783, -1170, -1555? -1938 What comes next: 19, 44, 69? 94 What is next in -56, -88, -128, -182, -256, -356? -488 What is next in -400, -396, -392, -388, -384? -380 What is next in -2, 31, 90, 181, 310, 483, 706? 985 What comes next: -6, -15, -24, -33, -42? -51 What is the next term in -48, -110, -178, -252, -332, -418, -510? -608 What is the next term in 20, 28, 42, 62, 88? 120 What is next in -187, -121, -45, 47, 161? 303 What is the next term in -1, -11, -45, -115, -233, -411, -661, -995? -1425 What comes next: -35, -97, -147, -179, -187? -165 What comes next: 511, 514, 525, 550, 595, 666, 769? 910 What is next in 388, 1603, 3634, 6487, 10168, 14683, 20038, 26239? 33292 What is next in -2, -3, 0, 7, 18? 33 What comes next: -723, -730, -741, -756, -775, -798, -825? -856 What comes next: 75, 73, 77, 93, 127, 185? 273 What is the next term in 53, 52, 49, 44? 37 What comes next: 441, 475, 509, 543, 577, 611? 645 What is the next term in -20, -18, -16? -14 What is next in 60, 69, 78? 87 What comes next: 215, 431, 647, 863? 1079 What comes next: 5855, 11711, 17567? 23423 What is next in -3, -59, -211, -507, -995, -1723, -2739, -4091? -5827 What is the next term in -10581, -10579, -10577, -10575, -10573? -10571 What is next in 13226, 13229, 13232, 13235, 13238? 13241 What is next in -7, -10, -15, -22, -31? -42 What is next in 3, 36, 135, 336, 675, 1188, 1911, 2880? 4131 What comes next: 314, 332, 338, 326, 290, 224, 122, -22? -214 What is next in -135, -559, -1265, -2253, -3523? -5075 What comes next: -1235, -2472, -3709, -4946, -6183? -7420 What comes next: 4027, 8055, 12083, 16111, 20139, 24167? 28195 What comes next: -113, -195, -275, -353, -429, -503, -575? -645 What is next in 59, 89, 119? 149 What is the next term in -299, -298, -299, -302, -307, -314? -323 What is the next term in 27, 69, 169, 357, 663? 1117 What is next in 1034, 1029, 1026, 1025, 1026, 1029, 1034? 1041 What is next in -377, -751, -1125? -1499 What comes next: 114, 222, 328, 432, 534? 634 What is next in -437, -529, -691, -929, -1249, -1657, -2159, -2761? -3469 What is the next term in -53, -66, -81, -98, -117? -138 What is the next term in -26, -87, -160, -251, -366, -511, -692? -915 What is next in 7, 1, -11, -29, -53? -83 What is next in -94, -91, -88, -85, -82? -79 What comes next: -10, -5, 14, 47, 94? 155 What is the next term in -5, -41, -77? -113 What is next in -32, -238, -804, -1910, -3736, -6462? -10268 What is the next term in -35, -48, -63, -80, -99? -120 What is next in -1106, -1135, -1164? -1193 What is next in 10660, 10663, 10668, 10675, 10684? 10695 What is next in -21, -99, -229, -417, -669? -991 What is the next term in -2, -25, -72, -143, -238, -357? -500 What is next in 981, 967, 953? 939 What is next in 22, 110, 264, 490, 794, 1182? 1660 What comes next: -37985, -37984, -37981, -37976, -37969, -37960, -37949? -37936 What comes next: -45, -49, -41, -9, 59, 175, 351? 599 What is next in -339, -340, -341, -342, -343? -344 What comes next: 35, 67, 101, 137? 175 What is the next term in -160, -158, -154, -148, -140? -130 What comes next: -85, -181, -277, -373, -469? -565 What comes next: 838, 840, 842, 844, 846? 848 What is next in 9, 5, -3, -15, -31, -51, -75? -103 What comes next: 449, 883, 1303, 1703, 2077, 2419? 2723 What is the next term in 49, 108, 165, 220? 273 What is the next term in 0, 0, -4, -12? -24 What comes next: 70, 279, 628, 1117, 1746, 2515, 3424? 4473 What comes next: 29, 80, 129, 146, 101, -36, -295, -706? -1299 What is next in 15, -2, -29, -66, -113, -170? -237 What comes next: 92, 86, 68, 32, -28? -118 What is the next term in -6, -13, -20, -27, -34, -41? -48 What comes next: 79, 165, 259, 361, 471, 589, 715? 849 What comes next: -148, -237, -386, -595, -864, -1193? -1582 What is next in 96, 192, 286, 378? 468 What is next in -851, -1700, -2551, -3404, -4259, -5116, -5975? -6836 What is the next term in 597, 1197, 1797, 2397, 2997, 3597? 4197 What is the next term in -31, -61, -91? -121 What is the next term in -84, -52, 32, 192, 452, 836, 1368, 2072? 2972 What is the next term in 64, 79, 116, 187, 304, 479? 724 What is next in 141, 148, 159, 174, 193? 216 What is next in 3020, 3026, 3046, 3086, 3152? 3250 What comes next: 696, 2765, 6206, 11013, 17180, 24701, 33570, 43781? 55328 What comes next: 176, 171, 164, 155, 144, 131, 116? 99 What is the next term in -29, -50, -71, -92? -113 What is next in 4546, 9092, 13636, 18178? 22718 What is the next term in -70, -124, -156, -160, -130? -60 What comes next: -41, -110, -227, -416, -701, -1106, -1655, -2372? -3281 What comes next: 53, 39, 13, -31, -99, -197, -331, -507? -731 What is the next term in 58, 118, 176, 232, 286, 338, 388? 436 What comes next: -520, -519, -504, -469, -408? -315 What is next in 37, 109, 211, 343, 505, 697, 919? 1171 What comes next: 5575, 5589, 5629, 5707, 5835, 6025? 6289 What is the next term in 4844, 4848, 4854, 4862, 4872, 4884? 4898 What comes next: 1, -47, -95, -143? -191 What is next in -77, -154, -249, -374, -541, -762, -1049, -1414? -1869 What is the next term in -73, -59, -43, -31, -29? -43 What comes next: 14, 36, 56, 74, 90, 104? 116 What is the next term in -2107, -2106, -2105, -2104? -2103 What is the next term in 201, 206, 215, 228? 245 What is next in 1467, 2935, 4403, 5871, 7339, 8807? 10275 What is the next term in -14, 0, 12, 22, 30, 36? 40 What comes next: -554, -576, -612, -668, -750? -864 What is the next term in 15, 39, 63, 87, 111, 135? 159 What is next in 230, 220, 210, 200, 190, 180? 170 What comes next: 66, 244, 540, 954, 1486, 2136, 2904? 3790 What comes next: 3, 55, 93, 111, 103, 63, -15? -137 What comes next: 1242, 2494, 3746, 4998, 6250? 7502 What comes next: 8582, 17161, 25740? 343
{ "pile_set_name": "DM Mathematics" }
3 Convert -13345 (base 9) to base 4. -2031020 What is 3252 (base 6) in base 10? 752 Convert 24014 (base 5) to base 9. 2364 What is -3220 (base 4) in base 13? -14b -a8a (base 12) to base 6 -11054 520 (base 9) to base 15 1d3 Convert 1500 (base 9) to base 12. 7a6 Convert -468 (base 11) to base 10. -558 Convert 1001001100 (base 2) to base 3. 210210 What is 13603 (base 7) in base 14? 1503 2152 (base 7) to base 10 772 Convert -d9 (base 16) to base 5. -1332 What is -705 (base 10) in base 5? -10310 What is 186 (base 11) in base 15? e5 -21132332 (base 4) to base 3 -1222021202 What is 15464 (base 8) in base 13? 3229 -213222 (base 4) to base 2 -100111101010 9935 (base 13) to base 5 1140323 Convert 16d4 (base 16) to base 10. 5844 226 (base 9) to base 6 510 What is -111121 (base 3) in base 6? -1411 1110100000 (base 3) to base 9 43300 Convert 340c (base 15) to base 8. 25435 Convert -4054 (base 6) to base 7. -2422 8970 (base 13) to base 3 222022200 -347 (base 12) to base 13 -2b6 Convert 993 (base 15) to base 6. 14003 Convert 50154 (base 7) to base 6. 131553 -11242 (base 6) to base 15 -725 What is -8b63 (base 14) in base 5? -1233240 Convert -14898 (base 11) to base 5. -1133130 -2635 (base 8) to base 7 -4122 What is bb1 (base 12) in base 5? 23332 What is 367 (base 14) in base 2? 1010100111 Convert 255 (base 7) to base 10. 138 Convert 4280 (base 13) to base 12. 5412 What is 1200 (base 8) in base 9? 781 Convert -3276 (base 8) to base 10. -1726 Convert -201011 (base 5) to base 7. -24414 -1bb (base 16) to base 3 -121102 Convert -1001 (base 8) to base 3. -201000 -12463 (base 12) to base 11 -17735 What is 23 (base 11) in base 10? 25 Convert 3743 (base 12) to base 2. 1100001100011 What is 121224 (base 5) in base 11? 347a What is -400 (base 15) in base 16? -384 -101001101 (base 2) to base 3 -110100 What is 25435 (base 6) in base 7? 14123 26570 (base 11) to base 12 19b66 -e2e (base 16) to base 15 -1120 What is 211b (base 12) in base 6? 24435 What is 1000110100 (base 2) in base 13? 345 Convert -3a11 (base 14) to base 11. -773a What is 4085 (base 9) in base 15? d48 What is -111011111010101 (base 2) in base 9? -46065 Convert -1101021200 (base 3) to base 9. -41250 What is 353124 (base 6) in base 11? 20a15 -560 (base 8) to base 13 -224 68456 (base 9) to base 7 246603 -b1 (base 15) to base 6 -434 Convert -2884 (base 11) to base 7. -13565 Convert 25ab (base 12) to base 6. 31535 217 (base 13) to base 12 25a Convert 349 (base 12) to base 14. 26d Convert -121413 (base 6) to base 16. -29f1 Convert 40665 (base 7) to base 8. 23331 6b9 (base 15) to base 5 22044 What is 1a5 (base 12) in base 5? 2034 Convert -7653 (base 9) to base 2. -1011000000101 What is 4274 (base 8) in base 5? 32421 -5946 (base 14) to base 9 -23283 What is -44457 (base 10) in base 7? -243420 What is -1e47 (base 16) in base 4? -1321013 Convert 101c (base 15) to base 6. 23430 Convert 22211122 (base 3) to base 6. 45455 Convert 1331 (base 8) to base 13. 441 -161 (base 14) to base 11 -236 Convert 183b1 (base 12) to base 10. 35125 31312 (base 4) to base 11 736 -1854 (base 11) to base 2 -100100110110 Convert -140440 (base 5) to base 9. -7783 -3123333 (base 4) to base 6 -145103 Convert -10112211 (base 3) to base 14. -d2b Convert 42340 (base 7) to base 8. 24341 Convert -2c2d (base 16) to base 5. -330214 Convert 40621 (base 8) to base 15. 4e90 40021 (base 6) to base 4 1101031 -1152434 (base 6) to base 13 -21cc7 What is 520 (base 9) in base 14? 223 -1cd95 (base 14) to base 3 -10202112121 -475 (base 16) to base 12 -7b1 216601 (base 7) to base 12 1a254 What is 112022 (base 3) in base 7? 1061 -15735 (base 9) to base 15 -3305 38ca (base 14) to base 12 5936 -4c1 (base 16) to base 3 -1200002 What is -12160 (base 7) in base 10? -3178 What is -1386 (base 14) in base 6? -23550 -13064 (base 8) to base 14 -2100 What is 1c4b (base 13) in base 4? 1003000 -1150 (base 12) to base 10 -1932 Convert 9d5c (base 14) to base 10. 27326 -120133 (base 4) to base 8 -3037 What is -740 (base 9) in base 10? -603 -5c40 (base 13) to base 3 -122220220 Convert -112021 (base 3) to base 14. -1d7 What is -34673 (base 8) in base 13? -695b Convert -1351 (base 6) to base 2. -101100011 -30013003 (base 4) to base 2 -1100000111000011 Convert -274 (base 14) to base 3. -200022 Convert -164e (base 16) to base 7. -22435 1123140 (base 6) to base 3 2221012020 What is -1528 (base 16) in base 7? -21535 1dbd (base 15) to base 13 2c44 Convert 1112211 (base 4) to base 5. 134131 688 (base 9) to base 11 475 -111010001000 (base 2) to base 8 -7210 What is -44201 (base 7) in base 9? -16165 Convert -4701 (base 8) to base 5. -34442 What is 671 (base 8) in base 16? 1b9 What is -14312 (base 6) in base 14? -b88 Convert -6112 (base 7) to base 11. -1654 What is 558 (base 16) in base 5? 20433 Convert -1bb (base 16) to base 9. -542 What is -1b73 (base 13) in base 2? -1000000110110 What is 10100000 (base 2) in base 14? b6 Convert -4300 (base 5) to base 6. -2355 -3278 (base 16) to base 10 -12920 -2515 (base 9) to base 12 -1105 14b8 (base 12) to base 10 2444 Convert -4505 (base 6) to base 12. -735 -4da (base 16) to base 9 -1630 -100001011011 (base 2) to base 16 -85b Convert 1002001 (base 3) to base 15. 374 What is 1754 (base 11) in base 5? 32422 24200 (base 5) to base 15 800 5568 (base 11) to base 9 11048 87c (base 13) to base 7 4146 Convert 36 (base 10) to base 3. 1100 What is 4320 (base 5) in base 13? 360 532 (base 10) to base 9 651 What is -310 (base 7) in base 10? -154 Convert 7101 (base 8) to base 3. 12000011 Convert 24c (base 16) to base 14. 300 What is 211212 (base 4) in base 7? 10005 107 (base 9) to base 10 88 3164 (base 8) to base 13 9a1 What is 103311 (base 5) in base 7? 13304 What is -8413 (base 11) in base 10? -11146 -278 (base 13) to base 12 -305 What is -21455 (base 7) in base 11? -4052 211 (base 5) to base 10 56 -46b (base 12) to base 15 -2de -301410 (base 5) to base 6 -112245 -15062 (base 12) to base 6 -344202 -385 (base 11) to base 10 -456 Convert 1201012 (base 3) to base 13. 74c Convert -24641 (base 7) to base 8. -14541 Convert 101000001010110 (base 2) to base 8. 50126 10238 (base 11) to base 9 22422 Convert 40540 (base 7) to base 4. 2122111 What is -111022 (base 3) in base 12? -25b 1563 (base 10) to base 15 6e3 Convert -72c2 (base 13) to base 6. -201255 Convert -1a85 (base 16) to base 13. -3123 Convert -521 (base 15) to base 4. -102010 What is 1450 (base 10) in base 16? 5aa 3910 (base 15) to base 3 121200120 127 (base 8) to base 7 153 What is -171 (base 13) in base 10? -261 Convert 34400 (base 5) to base 9. 3350 113133 (base 5) to base 10 4168 50434 (base 6) to base 11 4aa2 What is -32023102 (base 4) in base 3? -2221122121 Convert 69d9 (base 15) to base 7. 122352 What is 152 (base 10) in base 3? 12122 What is -12112 (base 3) in base 2? -10010101 10010 (base 7) to base 13 1133 Convert -64525 (base 10) to base 12. -31411 What is 147b (base 12) in base 4? 211133 Convert -1a2a (base 14) to base 9. -6448 -280e (base 16) to base 9 -15053 3c48 (base 14) to base 15 324d Convert 1066 (base 14) to base 12. 1782 What is -25a (base 11) in base 16? -133 Convert -10010011010101111 (base 2) to base 12. -377a7 Convert -21 (base 8) to base 15. -12 What is -303232 (base 4) in base 7? -12436 22022 (base 3) to base 6 1012 Convert -1630 (base 8) to base 4. -32120 Convert b23 (base 14) to base 2. 100010001011 Convert 321112 (base 4) to base 9. 5027 11252 (base 6) to base 13 974 What is 104241 (base 5) in base 6? 25040 Convert -18674 (base 9) to base 3. -122202111 Convert 1000001011 (base 2) to base 5. 4043 -261 (base 11) to base 13 -1aa What is 201343 (base 6) in base 14? 5b1d Convert -120125 (base 9) to base 8. -215123 What is -2100 (base 5) in base 6? -1135 -102 (base 7) to base 8 -63 -10120 (base 3) to base 12 -80 What is -2032 (base 6) in base 16? -1c4 Convert 22771 (base 9) to base 11. 10479 What is -11110101000 (base 2) in base 14? -a00 Convert -1202211 (base 3) to base 16. -50b What is -190 (base 16) in base 6? -1504 What is 18d8 (base 14) in base 10? 4502 Convert -1111 (base 2) to base 6. -23 Convert 122c (base 13) to base 9. 3468 What is -601 (base 12) in base 8? -1541 Convert b63 (base 15) to base 3. 10112010 What is -6332 (base 7) in base 15? -9d8 121031 (base 6) to base 2 101001
{ "pile_set_name": "DM Mathematics" }
without replacement from wnxxzwlzzxlzzz. What is prob of sequence xz? 9/91 Four letters picked without replacement from {u: 2, x: 8, p: 9, v: 1}. What is prob of sequence pupx? 16/1615 Three letters picked without replacement from apppppppappphppah. What is prob of sequence aha? 1/340 Four letters picked without replacement from cckgkkgckgcgcikc. Give prob of sequence iggk. 1/728 What is prob of sequence oc when two letters picked without replacement from {o: 1, c: 14}? 1/15 Three letters picked without replacement from cnnbbjpptnnbnp. Give prob of sequence bnb. 5/364 Calculate prob of sequence xxxx when four letters picked without replacement from xaxxxxxxalxlxlx. 2/13 What is prob of sequence ss when two letters picked without replacement from ssmssdsdosdsdo? 3/13 What is prob of sequence eb when two letters picked without replacement from pebelbpel? 1/12 Calculate prob of sequence wg when two letters picked without replacement from {r: 1, a: 3, w: 1, p: 2, i: 1, g: 4}. 1/33 Two letters picked without replacement from {d: 1, g: 4, o: 1, s: 1, p: 1}. What is prob of sequence do? 1/56 Two letters picked without replacement from {q: 1, o: 2, a: 1, v: 1, m: 1, t: 2}. Give prob of sequence to. 1/14 Four letters picked without replacement from {o: 1, n: 7, j: 3, x: 5, m: 3}. Give prob of sequence mnxm. 35/15504 Three letters picked without replacement from vgvkr. What is prob of sequence krv? 1/30 Four letters picked without replacement from lkqwkkkwl. What is prob of sequence wlqw? 1/756 Three letters picked without replacement from kkkkckckkkkckkkkkk. Give prob of sequence kcc. 5/272 Two letters picked without replacement from fdfdddxdfdddfkdxe. What is prob of sequence df? 9/68 What is prob of sequence iii when three letters picked without replacement from imiimiimimmiiimmmim? 40/323 What is prob of sequence ud when two letters picked without replacement from uduudkkukdkkukkk? 1/16 What is prob of sequence paa when three letters picked without replacement from apkkkpapakpakww? 8/455 What is prob of sequence zaex when four letters picked without replacement from eeexexxeza? 1/336 Two letters picked without replacement from {x: 2, e: 1, l: 1, h: 2}. Give prob of sequence hl. 1/15 Three letters picked without replacement from vffndfiifiqfivif. Give prob of sequence fiq. 1/112 Two letters picked without replacement from bffbfxebeee. Give prob of sequence fx. 3/110 Calculate prob of sequence rdk when three letters picked without replacement from krfod. 1/60 What is prob of sequence efqf when four letters picked without replacement from {e: 2, q: 3, f: 1, i: 2, n: 7, d: 5}? 0 Four letters picked without replacement from sbszkpsssszspsss. Give prob of sequence spss. 3/91 Two letters picked without replacement from jjdddeddqdpqdejqdeq. Give prob of sequence pq. 2/171 Three letters picked without replacement from {v: 2, n: 1, z: 1, f: 2, c: 1}. Give prob of sequence nfz. 1/105 What is prob of sequence qw when two letters picked without replacement from iziqzziizqiiiqwiqqiz? 1/76 What is prob of sequence evee when four letters picked without replacement from {w: 4, v: 5, y: 4, q: 1, e: 6}? 5/969 Four letters picked without replacement from mxxxxwvxy. Give prob of sequence yxwm. 5/3024 Three letters picked without replacement from rrrrqqqrrrrr. What is prob of sequence qrr? 9/55 What is prob of sequence ttpp when four letters picked without replacement from {g: 5, p: 2, t: 2, k: 4}? 1/4290 Three letters picked without replacement from {w: 7, k: 2}. Give prob of sequence kww. 1/6 What is prob of sequence iuih when four letters picked without replacement from uhiiuuugrrig? 1/495 Calculate prob of sequence yfyf when four letters picked without replacement from ffyfyyyxfffxf. 21/715 Calculate prob of sequence cc when two letters picked without replacement from {m: 1, c: 2, t: 1}. 1/6 Calculate prob of sequence yyy when three letters picked without replacement from ccycccycccy. 1/165 Calculate prob of sequence of when two letters picked without replacement from {o: 8, s: 1, f: 8}. 4/17 What is prob of sequence ch when two letters picked without replacement from {h: 1, s: 2, p: 2, c: 1}? 1/30 Calculate prob of sequence uj when two letters picked without replacement from wcubjkkw. 1/56 Three letters picked without replacement from ffzfhzffzzh. Give prob of sequence fhf. 4/99 Two letters picked without replacement from {r: 3, v: 8}. Give prob of sequence rv. 12/55 Calculate prob of sequence popp when four letters picked without replacement from {p: 11, o: 1, x: 2}. 15/364 Calculate prob of sequence lkut when four letters picked without replacement from {k: 1, l: 1, t: 1, u: 3, e: 1}. 1/280 Calculate prob of sequence vvi when three letters picked without replacement from {m: 2, i: 1, f: 1, b: 1, v: 1, g: 2}. 0 Three letters picked without replacement from zazpapza. Give prob of sequence pzp. 1/56 Two letters picked without replacement from {e: 1, u: 17}. Give prob of sequence uu. 8/9 What is prob of sequence wf when two letters picked without replacement from {v: 1, f: 3, w: 1, b: 5, s: 2}? 1/44 Calculate prob of sequence oo when two letters picked without replacement from {y: 3, o: 2, c: 2, i: 1, e: 4}. 1/66 Calculate prob of sequence swsw when four letters picked without replacement from {s: 12, w: 6}. 11/204 Four letters picked without replacement from {y: 1, j: 4, h: 9, l: 3, a: 1}. What is prob of sequence yhja? 1/2040 What is prob of sequence uudu when four letters picked without replacement from {d: 5, u: 7}? 35/396 Four letters picked without replacement from {m: 12, s: 6}. Give prob of sequence msss. 1/51 Three letters picked without replacement from weww. What is prob of sequence eww? 1/4 What is prob of sequence yo when two letters picked without replacement from ooooooeoooeoyoy? 11/105 Two letters picked without replacement from {g: 3, t: 3, e: 5, n: 2, u: 3}. Give prob of sequence tu. 3/80 Calculate prob of sequence hgg when three letters picked without replacement from {m: 6, g: 2, h: 9}. 3/680 What is prob of sequence mwy when three letters picked without replacement from wwwmymwywyyw? 2/55 Calculate prob of sequence uh when two letters picked without replacement from {h: 2, t: 1, s: 2, u: 2, x: 1}. 1/14 What is prob of sequence fad when three letters picked without replacement from {a: 1, k: 1, d: 2, f: 2, b: 1}? 2/105 What is prob of sequence qsg when three letters picked without replacement from {s: 9, q: 5, g: 1, m: 2, j: 1}? 5/544 Three letters picked without replacement from {s: 3, d: 2, z: 3}. What is prob of sequence ddz? 1/56 Two letters picked without replacement from {c: 11, f: 1, v: 7}. What is prob of sequence fc? 11/342 Four letters picked without replacement from {m: 3, p: 4, h: 3, c: 8, n: 1}. Give prob of sequence hchc. 7/1938 Three letters picked without replacement from xuuuuuuuhuuzuzouxxud. Give prob of sequence zxd. 1/1140 Two letters picked without replacement from rvvqrtrvvtvqprvqq. What is prob of sequence tr? 1/34 Three letters picked without replacement from {s: 2, m: 1, u: 2, w: 2, y: 1}. Give prob of sequence smy. 1/168 Two letters picked without replacement from {m: 2, n: 2}. What is prob of sequence mn? 1/3 Calculate prob of sequence ngwe when four letters picked without replacement from ngwwuwe. 1/280 What is prob of sequence pz when two letters picked without replacement from {z: 1, m: 2, e: 1, p: 3, x: 3, d: 1}? 3/110 Two letters picked without replacement from oaaoaaoaaaaa. What is prob of sequence oa? 9/44 What is prob of sequence eese when four letters picked without replacement from sseeeosss? 5/504 Four letters picked without replacement from jiviwiiiiiiihii. Give prob of sequence hvwi. 11/32760 Three letters picked without replacement from qyqy. What is prob of sequence qyq? 1/6 What is prob of sequence ebb when three letters picked without replacement from dddebdbdddee? 1/220 Three letters picked without replacement from {w: 1, i: 8, b: 5, y: 2}. What is prob of sequence ibb? 1/21 Four letters picked without replacement from vupvvpvvcccvcuvpc. What is prob of sequence vcpu? 1/272 Four letters picked without replacement from {v: 2, w: 1, o: 2, m: 1, u: 2, i: 1}. What is prob of sequence vwuo? 1/378 Four le
{ "pile_set_name": "DM Mathematics" }
Which is the biggest value? (a) 1 (b) -1 (c) -4 (d) 5 (e) -927 (f) 2.7 d What is the third biggest value in -0.9, 0.1, -189, 2/141? -0.9 Which is the smallest value? (a) -0.49 (b) -0.5 (c) -0.4 (d) 10.1 b Which is the second biggest value? (a) 5 (b) 65 (c) 2 (d) 137 b What is the third smallest value in -0.1, -184, -68? -0.1 What is the fourth smallest value in -1/14, -3, -2, -153/50? -1/14 What is the biggest value in 2, -3/43, -0.1, 0, -32, -5? 2 What is the biggest value in -0.03, -1.09, -0.065? -0.03 Which is the sixth smallest value? (a) 3/3542 (b) -0.3 (c) 0.3 (d) -6 (e) 3/2 (f) 3 f Which is the biggest value? (a) -5 (b) -2/31 (c) 39 (d) -1/4 c Which is the fifth biggest value? (a) 0.2 (b) -0.06 (c) 0.003 (d) 1/2 (e) 5 (f) -1 b Which is the second smallest value? (a) -1/353 (b) -1.4 (c) -0.07 c Which is the third smallest value? (a) 2 (b) 198 (c) -398 (d) 1/5 a Which is the fifth biggest value? (a) 3/476 (b) 3 (c) -7 (d) -3 (e) -5 c What is the third smallest value in -0.2, 3/666707, 0.4? 0.4 What is the smallest value in -4/9, -3/5, -0.239, 8? -3/5 Which is the fifth smallest value? (a) -12/7 (b) 3/5 (c) -1 (d) 1/2 (e) 1.03 e Which is the second smallest value? (a) -5911 (b) 9 (c) 0 c Which is the biggest value? (a) -2 (b) -14/123 (c) 3 c What is the fourth smallest value in 61, -3/5, -4, 0, -1/3? 0 Which is the fourth biggest value? (a) 1 (b) -0.5 (c) -32 (d) -2 (e) 4 (f) 0.2 b What is the second biggest value in 22, 72, 0.3, 2/11? 22 Which is the second biggest value? (a) 83/2 (b) -50 (c) 0.02 (d) 1 d Which is the third smallest value? (a) 21/2 (b) 2 (c) 5 a Which is the third smallest value? (a) 0.049 (b) -2/15 (c) -2/5 (d) -0.1 (e) 2 d What is the second biggest value in -0.18, -1, -2/3, 33? -0.18 Which is the smallest value? (a) -2 (b) -438 (c) -102 b Which is the fourth biggest value? (a) 2 (b) 480/11 (c) 96 (d) 4 a What is the fifth smallest value in -0.3, 0.298, -2.4, 3/2, -0.13? 3/2 What is the biggest value in 2, 0.5, -0.308, 1, -2/7, 566? 566 What is the second smallest value in -3, -46373, -27? -27 What is the third smallest value in 0.2, -7/3, -0.16477? 0.2 What is the third biggest value in -4/5, -1.1, -2/5, -0.9, -131? -0.9 What is the fourth biggest value in -11, 0, -0.08, -0.4, 2? -0.4 What is the fourth biggest value in 0.5, 1593, 4/9, -12, 2/5? 2/5 What is the biggest value in -2, -36, 7, -1? 7 What is the third smallest value in -1, 0.2, 0, 1/2, 1/4, -1/167? 0 Which is the second smallest value? (a) 6.969 (b) -0.068 (c) 0 c What is the fifth biggest value in -1, -0.2, 1/10, 35/29, 1? -1 What is the smallest value in -2/23, -2/13, -2/9, -4, 1/870, -6? -6 Which is the sixth biggest value? (a) -3/7 (b) 0.0368 (c) -2/7 (d) -2/3 (e) 2 (f) 0.169 d Which is the second smallest value? (a) 0.4 (b) 1/169 (c) 121 (d) -1 b Which is the second biggest value? (a) 4 (b) 5 (c) -5 (d) 2/5 (e) 120 b What is the smallest value in 16, -0.2, 6.5? -0.2 Which is the third biggest value? (a) -0.4532 (b) 2 (c) -2 (d) -1 (e) -0.1 (f) -11 a Which is the fourth biggest value? (a) -105 (b) -131 (c) 28 (d) 0 b Which is the smallest value? (a) 3 (b) -0.2 (c) 1/11 (d) 1 (e) 16 b What is the biggest value in 1, -40, -0.05, -97? 1 What is the third biggest value in -4, 1/9, 0.2, 3, 1/123? 1/9 What is the third smallest value in 4/5, -2, -0.2, 0.4, 10? 0.4 Which is the second biggest value? (a) -12556 (b) -2/17 (c) 0.5 b Which is the smallest value? (a) -0.5 (b) 0.05 (c) -19740 c What is the third biggest value in 1/366179, 0.2, -4? -4 What is the third biggest value in 3/2, 1, 1/18, -2? 1/18 What is the smallest value in 1/54, 12993, 5? 1/54 Which is the fourth biggest value? (a) 4/5 (b) 2/13 (c) 0.3 (d) 0.01 (e) 2/3 (f) -0.23 b What is the third smallest value in 1/4, -1.5, -5, 0.4, -1/14, 26? -1/14 Which is the third smallest value? (a) 10/3 (b) -2/7 (c) -290 a Which is the fifth biggest value? (a) 10 (b) -46 (c) 2/1947 (d) -0.1 (e) -4/7 (f) 0.3 e What is the fifth smallest value in 0.079, -2, 81, -2/13, 0? 81 What is the sixth biggest value in -4/47, 2/15, -5, -1/46, -7/2, -2? -5 What is the smallest value in 4/5, 3, -0.03, -0.4? -0.4 What is the third smallest value in -2, -240.79, 2/3? 2/3 Which is the smallest value? (a) 2 (b) 4 (c) -2/3 (d) 0.2 (e) 0.3 c What is the biggest value in -5, -4, 0.3, 61.297? 61.297 Which is the third biggest value? (a) 30.5 (b) 2/7 (c) -1/2 c Which is the fifth smallest value? (a) 66 (b) -8 (c) -0.5 (d) 3/4 (e) -13 a What is the smallest value in -302/5, -5395, 5? -5395 What is the second biggest value in -0.3, -3, -5, -4, 14? -0.3 Which is the third smallest value? (a) -0.5 (b) 0.5 (c) -1 (d) 72 (e) 0.03 (f) -2 a What is the third smallest value in -0.4391, -1/5, -5/4, -0.3, 4? -0.3 Which is the second smallest value? (a) 2 (b) 4 (c) 5/3 (d) 1/2 (e) 10/11 (f) -3 d What is the smallest value in -41, 2/13, -103, 0? -103 Which is the biggest value? (a) -0.0257 (b) 3/7 (c) 0.2 (d) 5 (e) 0.1 d What is the second smallest value in 6, -576, 1/6? 1/6 Which is the biggest value? (a) -4 (b) 19/2 (c) 4 (d) 24 (e) 1 (f) -16 d What is the second biggest value in -0.08602, 0.2, -13? -0.08602 Which is the fourth biggest value? (a) -1/10 (b) 0.2 (c) -6 (d) -0.01 (e) -3 e Which is the fourth biggest value? (a) 16/9 (b) -3 (c) 0.5 (d) 132 b What is the third biggest value in 22221, 5, 3/5? 3/5 What is the smallest value in 0.4, -1, 57.3? -1 Which is the third smallest value? (a) 4 (b) 9 (c) 1.57 (d) 6 (e) -2 a What is the fourth biggest value in -4, 0.2, 5, 4/3, -1.0392? -1.0392 What is the third biggest value in -0.5, 13, 2/3, 2, 96? 2 Which is the fourth smallest value? (a) 4 (b) 5/7 (c) 8 (d) -138/13 c What is the smallest value in -3, -0.056, 8.9, -1? -3 What is the second biggest value in -13/18, -3, -4, -0.2, -20? -13/18 What is the second biggest value in 0, 4/7, -1/2, 0.29, -1/4, -5? 0.29 What is the fifth smallest value in 2/5, 315, -0.2, -0.056, -5, 2? 2 Which is the second biggest value? (a) -1.3 (b) -62 (c) 1 a What is the third smallest value in -27, 1.2, 1? 1.2 What is the third biggest value in 0, 4, 32/7, -0.4, 37? 4 Which is the fifth biggest value? (a) -1 (b) 0 (c) -1/2 (d) -2/5 (e) 1/5 a Which is the second biggest value? (a) 0.08 (b) -2 (c) 7 (d) 2/15 (e) 0 d Which is the biggest value? (a) 0.17 (b) -16/79 (c) 4 c What is the fifth biggest value in 4, 0.2, -1/7, 0.3, -1947/4? -1947/4 Which is the smallest value? (a) -5 (b) -5/3 (c) 0.135 (d) 2/23 a What is the second biggest value in -0.05, -90.6, 0.4, 7? 0.4 Which is the fourth smallest value? (a) 0 (b) -3 (c) -55 (d) -1/9 (e) -5 (f) -0.4 f What is the biggest value in 3682, 1/3, 0.5, 0.32? 3682 What is the third biggest value in 4985, 4, 0.3? 0.3 What is the fifth smallest value in 2.356, 1/3, 4/5, 0.3, 2? 2.356 What is the second smallest value in -5, 2/7, -142037, -4? -5 Which is the smallest value? (a) 1/5 (b) 3 (c) -6580 (d) 6 c Which is the biggest value? (a) -5/3 (b) -19 (c) 0 (d) 0.14 (e) 121 e Which is the second smallest value? (a) 1 (b) -1/2 (c) -130 b What is the fifth biggest value in -1, -23, 1, 3/5, -92? -92 What is the second smallest value in -8, -5, 11, 1/5, 3? -5 What is the second biggest value in 4/15, 1, 0.15? 4/15 What is the fifth smallest value in -0.2, 0.956, 3, -0.026, 4? 4 Which is the fifth biggest value? (a) 42 (b) -1/2 (c) 0.4 (d) -52 (e) -1/5 d Which is the biggest value? (a) 2 (b) -1 (c) -9/58 a What is the second biggest value in -0.3, 0.4, -2/5, 4/7, 188? 4/7 Which is the third smallest value? (a) -1.1 (b) -1/4 (c) -0.1 (d) 0.107 c What is the third biggest value in 21, -1/4, 0.44? -1/4 What is the third biggest value in 1/4, -5, 815689? -5 Which is the third biggest value? (a) 7 (b) -0.4 (c) -3 (d) -2 d What is the smallest value in 0.159, -1/34, 16.6? -1/34 Which is the fifth smallest value? (a) -59 (b) 0 (c) 2/73 (d) 2 (e) -4.7 d What is the smallest value in -89, 7, -0.3, -2, -2/5, 0.4? -89 Which is the second biggest value? (a) -2/11 (b) -0.05 (c) 1364 b Which is the fourt
{ "pile_set_name": "DM Mathematics" }
)**(-2/5)*(s**(1/4)*s)/(s/(s*s/s**(5/2))) assuming s is positive. s**(-23/60) Simplify w**(2/15)*w**4/w*w/(w/w**(2/23))*w**(5/2) assuming w is positive. w**(3947/690) Simplify ((u**0)**(2/99)*u**(-1/16)*u*u*u*u**(5/7))**0 assuming u is positive. 1 Simplify (m*m**5*m)**(-45)*m*m/m**(-1/12)*m**(-8) assuming m is positive. m**(-3851/12) Simplify (a**(-33)*a*a/(a/(a*a**(5/4))))/(a**3)**(1/2) assuming a is positive. a**(-125/4) Simplify (v*v**(-16/7))/(v/(v**(6/5)/v))*v**(11/2)*v*v**(1/2)/v assuming v is positive. v**(137/35) Simplify (z**(-5/4)*(z/(z*z**(-4/3)))/z)/((z*z**3)/(z/(z*z**3*z))) assuming z is positive. z**(-107/12) Simplify (o**(-2/3))**(3/8)/(o**(-1/3)/o**(-23)) assuming o is positive. o**(-275/12) Simplify i/(i*i/i**(-1/21)*i)*i*(i*i**11/i)/i*i*(i*i**(1/9))**(-1/16) assuming i is positive. i**(4981/504) Simplify (i**(-1/8)*i*i)**5/((i*i**(-12))/i*i**13*i) assuming i is positive. i**(59/8) Simplify ((h**(-2/27)*h*h)/h*h**(6/13)/h)/(h**(1/8))**(-4) assuming h is positive. h**(623/702) Simplify (((z*((z*z**0)/z)/z)/z)**(-7/8)/(z*z/z**(1/10)*z**(-3)*z))**(2/75) assuming z is positive. z**(13/500) Simplify (w/(w*w*w*w**(3/2)*w))**(-1/26)*w**(-14)/w**(-12) assuming w is positive. w**(-95/52) Simplify ((s**(-2/13)/(s**8/s))**24)**2 assuming s is positive. s**(-4464/13) Simplify (((l/(l*l*l**(-1)))**26)**(-18/5))**(-8/11) assuming l is positive. 1 Simplify (((n*(n/n**(2/7)*n)/n*n*n)/((n*n/(n**(-1/7)*n)*n)/n))/((n*n**(-1/4))/(n*n**(-2/15))))**(1/27) assuming n is positive. n**(1129/11340) Simplify ((w*w**(-1/4))**48*w**(4/3)/w**(-2/17))**(7/11) assuming w is positive. w**(13370/561) Simplify ((l**1*l*l**5)/((l/((((l**(-5/3)*l)/l)/l)/l*l))/(l/(l/l**4*l))))**(8/9) assuming l is positive. l**(152/27) Simplify ((l/l**(2/23)*l)**(36/5))**(-2/23) assuming l is positive. l**(-3168/2645) Simplify (w/(w*w**(-1/4)/w))/w**3*(w*w**(2/59))/((w/((w/(w/w**(3/8)))/w))/w) assuming w is positive. w**(-633/472) Simplify h**(-4)/(h**(21/2)*h)*h**4/(h/(h/h**(2/11))*h) assuming h is positive. h**(-279/22) Simplify (h*((h*h/(h*h**(-6)/h*h))/h)/h*(h/h**(-4/7))/h*(h**(-1))**(-2/55))**(-33) assuming h is positive. h**(-7632/35) Simplify (p**(-7)*p**7)/((((p/(p**(9/2)*p*p))/p)/p)/p)**(-8/15) assuming p is positive. p**(-68/15) Simplify ((p/(p**(1/2)*p))**(-19)*(((p*(p/p**(-2/9))/p)/p)/p*p)/(p/p**8))**8 assuming p is positive. p**(1204/9) Simplify (h**(1/12)*h/((h**(-1/22)*h)/h))/(h**7)**44 assuming h is positive. h**(-40507/132) Simplify (h/h**(19/2)*(h*h**27*h)/h)**(-2/73) assuming h is positive. h**(-39/73) Simplify o/(o/o**(8/11))*o*o**(-3/7)*o**5/o**(-2/9) assuming o is positive. o**(4519/693) Simplify a**(-2/9)*a*a/(a**8/a)*a**0*(a/a**(-2/15)*a)/a*a assuming a is positive. a**(-139/45) Simplify ((p**(-1)/p)/p**(2/5)*(p*p/(p*p*p/((p/(p*p*((p*p**1)/p)/p))/p*p*p)*p))/((p/(p*p**(6/7)*p*p)*p)/p*p*p))**(-15) assuming p is positive. p**(372/7) Simplify (n*n**(-10)*n)**(-1/23)/((n*n/((n*(n/n**(3/5))/n)/n))/(n*n*n**23)) assuming n is positive. n**(2616/115) Simplify (h**(-26)*h*h**24)**(2/5) assuming h is positive. h**(-2/5) Simplify ((g/(g*(g**(-4/11)/g)/g*g))**50)**(-3/11) assuming g is positive. g**(-2250/121) Simplify (((v/(v*v/(v/v**(1/15))))/v)/v**2)/((v**(-6/11)/v)/(v/v**13*v)) assuming v is positive. v**(-2066/165) Simplify ((a**(-5/4)*a)/(a/a**(-1/17)))/(a*a*a**(1/10)/a*a)**(5/6) assuming a is positive. a**(-52/17) Simplify n**12*n*n*(n**(-1/9)*n)/n*n*n*(n**(2/11))**(24/7) assuming n is positive. n**(11443/693) Simplify (x**(-1/7))**11/(x**(-1/19)/((x/x**(-2/7))/x)) assuming x is positive. x**(-164/133) Simplify ((((d*d*d**(-11)*d*d*d*d)/d)/d*d)/d**(1/3))/(d*(d/((d*d**(-2/13))/d*d))/d*d)**(7/11) assuming d is positive. d**(-3032/429) Simplify (b**3)**39/(b**11/b*b*b/(b*(b/(b**12/b))/b)) assuming b is positive. b**95 Simplify (p*p*(p*p/(p*p**23))/p*p/(p/p**24*p))/(p/p**(-20))**8 assuming p is positive. p**(-166) Simplify (((p**(-2/5)/p*p)/p)**(-49)*(p/p**(-2/5))**(-23/3))**37 assuming p is positive. p**(32116/15) Simplify r**(-3/10)*r*r**(-3/20)*r**17*r**(-1/12) assuming r is positive. r**(262/15) Simplify (k/(k/(k/k**(3/22)*k))*k)/(k*k/k**(5/8))*k**(-3)*k/k**(-4/13)*k assuming k is positive. k**(911/1144) Simplify (k/(k/(k/k**(-13/5))))**(11/2)/(k*k*k*k**11*k*k**(-2/23)) assuming k is positive. k**(562/115) Simplify v*(v**(3/10)*v)/v*v**(-6)*(v*v/(v*v/(v**0/v)))**(3/8) assuming v is positive. v**(-203/40) Simplify (b**(-14)/(b*b**(2/17)/b))/(b**(-2/5)*b)**(-45) assuming b is positive. b**(219/17) Simplify q/(q*q**3)*q*q**9*q**(-1)*q**0 assuming q is positive. q**6 Simplify ((p**(2/3)/p)**(-7/10)*p**6*p*p/(p**(-2)/p))**(-1/38) assuming p is positive. p**(-337/1140) Simplify ((f*f/(f*f**(-2/7)))**(-27)/(f/(f*f/(f/f**(-1/3)))*f)**3)**49 assuming f is positive. f**(-1897) Simplify ((a/(a/a**(-10))*a)/a**(-2/15))/(a/a**0)**(-27) assuming a is positive. a**(272/15) Simplify p/(p/p**(-6/5))*p**(-34)*(p**(-14))**(-25) assuming p is positive. p**(1574/5) Simplify ((w/(w*w/w**(2/3)))/w**(-1/3))/(w**(-8)/((w*(w*w/w**1*w)/w)/w)) assuming w is positive. w**9 Simplify ((r**(-2/17)*r*(r**(1/5)/r)/r)/((r*r**(-3))/r*r/r**1))**(14/5) assuming r is positive. r**(2478/425) Simplify (b**(-13)*b)**(-2/31)/(b**(-20)/(b/(b/(b/(((b*b**(2/15)/b)/b)/b))))) assuming b is positive. b**(10993/465) Simplify (j/j**(2/5)*j**(-3/17))/(j/(j*(j**(3/2)/j)/j*j*j)*j*j*j)**28 assuming j is positive. j**(-3534/85) Simplify ((((c/((c/(c**(-1/9)*c)*c)/c))/c*c)/(c*c**(2/11)))**(10/11))**(-6/11) assuming c is positive. c**(580/3993) Simplify ((m/(m/(m**1/m*m*m)))**(-4/3)/(m**0)**(-2))**(1/19) assuming m is positive. m**(-8/57) Simplify (c**(-13)*c**8)/(c**5)**14 assuming c is positive. c**(-75) Simplify (w/w**(-2/19))/w*w**(-1/21)*w**(-13)*w**(-6/13) assuming w is positive. w**(-69526/5187) Simplify ((o/o**(6/5)*o*o)/(o**(17/5)*o))**(-44) assuming o is positive. o**(572/5) Simplify ((w/w**(2/3))**28*w**(1/3)/(w**(-3/2)*w))**(-7) assuming w is positive. w**(-427/6) Simplify z**17*(z/z**(-9))/z*z*z*z/z**(4/11)*z*z*((z**9*z)/z*z)/z assuming z is positive. z**(436/11) Simplify ((h/(h*h*h*h**(-16)*h))**15)**(-11) assuming h is positive. h**(-2145) Simplify ((b/b**(-8))/b)/((b*b/(b/(b/(b**(-8/5)*b))))/b)*(b**11)**(2/65) assuming b is positive. b**(438/65) Simplify (b*(b**(-6/7)*b)/b*b*(b*b/b**(8/5))/b*b)/(b/(((((b/(b/b**(-4)))/b)/b)/b)/b))**(29/5) assuming b is positive. b**(-1773/35) Simplify ((q*q/((q**(-1/6)*q)/q))/q*q*q*q**(1/14))/(q*q**(2/5)*q)**(-40) assuming q is positive. q**(2084/21) Simplify (t/t**21)/t*(t/((t**(-3/5)/t)/t))/t*t*(t/(t/(t**(-7/5)/t)))**(-47) assuming t is positive. t**(477/5) Simplify ((v/(v/v**(5/2))*v)**(-6/13))**36 assuming v is positive. v**(-756/13) Simplify (((y/y**(-2/17))/(y*y/(y*y/y**(-2/13)*y*y)))**13)**(-3/5) assuming y is positive. y**(-2169/85) Simplify ((h*h/((h/h**0)/h))**(-13)*h**7*h**0)**(1/38) assuming h is positive. 1/sqrt(h) Simplify r*r/((r**(2/11)*r)/r)*r*r/(r**(2/11)/r)*(r**6)**(-2/19) assuming r is positive. r**(837/209) Simplify (m*m**5)**(-48)/((m*m*(m/(m/(m/(m**(-4/3)/m))))/m)/(m*m*m/m**(-16)*m)) assuming m is positive. m**(-817/3) Simplify (y/y**(-4/11)*(y*y*y**3)/y)/(y/((y/(y**24*y))/y))**13 assuming y is positive. y**(-3659/11) Simplify (((o/(o/(o*o**(-3))))/(o*o**(-5/2)))**(-17))**(-41) assuming o is positive. o**(-697/2) Simplify b*b/(b/b**(-9))*(b**(2/17)/b)/b*b**(-13/3)/(b*(b*b/(b*b/(b*b**(3/17)))*b)/b) assuming b is positive. b**(-836/51) Simplify (a**(-1/2))**16*(a*a/a**(-1))**26 assuming a is positive. a**70 Simplify (h/h**(1/6))**(-13)*h**(3/17)/h**(-15) assuming h is positive. h**(443/102) Simplify ((u*u/u**8)**(-1/27))**(8/11) assuming u is positive. u**(16/99) Simplify (u/(u/u**(-2/19)*u)*u/(u*u/u**(-3))*u)/(u**(-8)/u**(-5)) assuming u is positive. u**(-21/19) Simplify ((x/x**(2/41))/x**24)**(-48) assuming x is positive. x**(45360/41) Simplify i**(-14)/i*i*i*i*i*i/(((i*i**(-5/4))/i)/i)*i*i*(i**(-1/2)/i)**(-12) assuming i is positive. i**(49/4) Simplify (((o/(o*o**(3/8)))/o**0)**(-6/7))**(1/12) assuming o is positive. o**(3/112) Simplify ((((d*d/(d/(d*d*d/d**(-2/7)*d*d*d)))/d)/(d*d**(-2/27)))**(-10))**5 assuming d is positive. d**(-50650/189) Simplify (m**(-2/11)/m)**14/((m/(m**(-6)*m))/(m/(m*(m*m**(-3/4)/m)/m*m))) assuming m is positive. m**(-
{ "pile_set_name": "DM Mathematics" }
se 13, what is -4 + -2262? -2266 In base 5, what is 242312 + 1011? 243323 In base 15, what is -97 + 1cac? 1c15 In base 8, what is -5 + -616724? -616731 In base 14, what is 10 - -1701? 1711 In base 7, what is -5431505 + 0? -5431505 In base 16, what is 3 - 917? -914 In base 16, what is c + -264b4? -264a8 In base 16, what is a5f4 + -5? a5ef In base 10, what is -40372 + -34? -40406 In base 9, what is -628 + -675? -1414 In base 11, what is 97643 - 1? 97642 In base 12, what is 2762 - 13? 274b In base 5, what is 121 + -2313? -2142 In base 16, what is 467dd + 2? 467df In base 4, what is -13102202 + -2? -13102210 In base 7, what is 262 + 116652? 120244 In base 8, what is -5 + 24720? 24713 In base 15, what is -15c + -5c? -1b9 In base 10, what is -1 - 13890? -13891 In base 5, what is -1 + 2440041? 2440040 In base 3, what is 12122101 + 11? 12122112 In base 11, what is 4259a0 + 3? 4259a3 In base 3, what is -121220 + 1? -121212 In base 6, what is 242142 + 2? 242144 In base 2, what is 1100010111 - -11010101011? 100111000010 In base 16, what is 0 + -5b57? -5b57 In base 9, what is 156 + -3635? -3468 In base 11, what is 721 - -6119? 683a In base 2, what is -11010110001001 + -10110? -11010110011111 In base 16, what is -945f - 19? -9478 In base 11, what is 4 - 1444a9? -1444a5 In base 4, what is 1 - 3333321? -3333320 In base 15, what is -6cd - -bd? -610 In base 3, what is -122222000110 + 10? -122222000100 In base 16, what is -2 + -8729? -872b In base 14, what is 5 + 1b987? 1b98c In base 9, what is -5 - -12686? 12681 In base 3, what is -10222 + -21200? -102122 In base 12, what is -78 - 16a? -226 In base 4, what is -13 + 32322331? 32322312 In base 2, what is 1001 - -11011000001011? 11011000010100 In base 11, what is 5018249 + -4? 5018245 In base 16, what is -5bb + -130? -6eb In base 16, what is -8e6b + -4? -8e6f In base 10, what is 1783422 - 5? 1783417 In base 3, what is -1021 + 1000? -21 In base 9, what is -25 + 304662? 304636 In base 12, what is -18154 - -3? -18151 In base 4, what is -201331102 + 10? -201331032 In base 10, what is -14 + -4138? -4152 In base 12, what is 31 + -12865? -12834 In base 15, what is 17cc - 1ae? 161d In base 14, what is -1 + -2b1232? -2b1233 In base 3, what is 20101101011 - -20? 20101101101 In base 9, what is -384 - 6666? -7161 In base 12, what is -212bb4 + 4? -212bb0 In base 3, what is 1 + 121110100? 121110101 In base 8, what is -1013 - -716? -75 In base 14, what is 1 + 72b7? 72b8 In base 3, what is -1011111 - 1022111? -2110222 In base 2, what is -10101 - 101000101110? -101001000011 In base 7, what is 22 - 1012? -660 In base 3, what is 2122221 - -10120? 2210111 In base 5, what is 1 - -1210444? 1211000 In base 5, what is 14 - -220200? 220214 In base 6, what is 1 + 13135? 13140 In base 4, what is 2120200 + 23? 2120223 In base 14, what is -156 - -3? -153 In base 3, what is 110012101012 + 102? 110012101121 In base 15, what is 9 + -13a44? -13a3a In base 7, what is -4 + -61135? -61142 In base 7, what is 6 + -2004? -1665 In base 13, what is 6c3ba - -3? 6c3c0 In base 10, what is -3 + 42023? 42020 In base 9, what is 1608 - -502? 2211 In base 13, what is -2 + 62918? 62916 In base 15, what is 0 - 1e22? -1e22 In base 4, what is 32110 + -3201? 22303 In base 9, what is 225 - 446? -221 In base 4, what is 3132001 - 2? 3131333 In base 13, what is 209 - 3? 206 In base 13, what is -1 + -6657? -6658 In base 9, what is -5 + -6273? -6278 In base 7, what is -156144 + -523? -160000 In base 8, what is 173732 - 0? 173732 In base 10, what is 754 - 1? 753 In base 13, what is 17 - -6c25? 6c3c In base 15, what is 4 + -10d3b? -10d37 In base 9, what is 1 - -44674? 44675 In base 14, what is -5587 + -5? -558c In base 14, what is 9ddad - -2? 9ddb1 In base 10, what is 1 + 88269? 88270 In base 3, what is 2211 + -120111? -110200 In base 3, what is -22 - 210121112? -210121211 In base 7, what is 224 - 1620? -1363 In base 8, what is -11253 - 613? -12066 In base 11, what is -2300 + 20? -2290 In base 15, what is 2 - 82d? -82b In base 4, what is 30 + 20322? 21012 In base 4, what is -230 - -1033233? 1033003 In base 14, what is 268bc7 - 1? 268bc6 In base 8, what is -4430 + -1703? -6333 In base 8, what is 25440 + -17? 25421 In base 11, what is 261 - 503? -252 In base 4, what is 21 - 13101010? -13100323 In base 14, what is -2c761 + 0? -2c761 In base 2, what is 1100010110100 + -1010101? 1100001011111 In base 11, what is -78 + -2278? -2345 In base 11, what is -3 - -55a0? 5598 In base 9, what is -24 + 1228? 1204 In base 14, what is -19 - 145b? -1476 In base 3, what is -1011200210 - -11? -1011200122 In base 8, what is 6 - -61043? 61051 In base 7, what is -36421 - 104? -36525 In base 2, what is 10111010 - 10110011? 111 In base 7, what is -353425 + -14? -353442 In base 7, what is 5 + -265123? -265115 In base 3, what is 12021001101 - -202? 12021002010 In base 9, what is 25074 - -62? 25146 In base 11, what is 11128 + 5? 11132 In base 14, what is 305a3 + 4? 305a7 In base 5, what is 144034214 - -1? 144034220 In base 14, what is 18147 + 1? 18148 In base 6, what is 11 + -50420? -50405 In base 11, what is -28269 - 2? -28270 In base 4, what is 33021 - 1113? 31302 In base 13, what is -64 - -901? 86a In base 13, what is -2 - 33a955? -33a957 In base 2, what is -101111110000 + 1001? -101111100111 In base 3, what is -1212 + 211011? 202022 In base 12, what is 1 + -184409? -184408 In base 15, what is 5 + -cda9c? -cda97 In base 11, what is -6 + 26011? 26006 In base 14, what is 2 - -7805? 7807 In base 6, what is 522501 - 0? 522501 In base 10, what is -1038832 - 4? -1038836 In base 14, what is 208 + 259? 463 In base 8, what is -103 - 13130? -13233 In base 5, what is 4140013 - -1? 4140014 In base 10, what is 171 + 4064? 4235 In base 14, what is 45967 + -5? 45962 In base 9, what is -5373 - -60? -5313 In base 4, what is -11 - 200020? -200031 In base 10, what is -4123 + -36? -4159 In base 14, what is 46a4a - 2? 46a48 In base 4, what is 30211230 - 1? 30211223 In base 13, what is -2 + 1777c? 1777a In base 3, what is -1022201 - 1? -1022202 In base 6, what is 15 - -12200? 12215 In base 7, what is 1615 - -3325? 5243 In base 4, what is 22230130 + -12? 22230112 In base 2, what is 1011110000101010 + 110? 1011110000110000 In base 7, what is 5 + -330144? -330136 In base 5, what is -30 - -13111001? 13110421 In base 11, what is -14 + -495? -4a9 In base 2, what is 1010000010 - -100111? 1010101001 In base 5, what is 11 + -1330421? -1330410 In base 4, what is 32 - 12203? -12111 In base 9, what is -5010741 + 2? -5010738 In base 3, what is 10202 + 122110222? 122121201 In base 3, what is -21002010 - -12112? -20212121 In base 7, what is -1360513 + -4? -1360520 In base 14, what is -194516 - 6? -19451c In base 2, what is 1000 + 1011010011001? 1011010100001 In base 7, what is -3662355 - -2? -3662353 In base 4, what is 3312332 - 2? 3312330 In base 12, what is 1 + -79a? -799 In base 4, what is 3102031 - 1? 3102030 In base 6, what is 540252 - 5? 540243 In base 5, what is -104222 + 33? -104134 In base 12, what is 0 - -5272? 5272 In base 2, what is -11 - -1110110101011111010? 1110110101011110111 In base 2, what is -101 - -110111100001001011? 110111100001000110 In base 9, what is 2242 - -208? 2451 In base 10, what is -49410 - -3? -49407 In base 3, what is 202212010121 + 101? 202212010222 In base 13, what is 4 - -20b5? 20b9 In base 6, what is 5 + 2523323? 2523332 In base 3, what is -10210111120220 - -1? -10210111120212 In base 15, what is -2 + 506ca? 506c8 In base 12, what is -234 + 8963? 872b In base 13, what is -b + a63? a55 In base 14, what is -177 + 16? -161 In base 16, what is 3 + 1ef4? 1ef7 In base 4, what is -221 + 2300222? 2300001 In base 6, what is -4 + -2052454? -2052502 In base 6, what is -1 + 311313? 311312 In base 11, what is -3 + 9408? 9405 In base 6, what is -101520 - -25? -101451 In base 4, what is 303 - 313? -10 In base 4, what is 1 + -3302023? -3302022 In base 7, what is 5 + 251306? 251314 In base 2, what is -11010011101 - 101110111100? -1001001011001 In base 14, what is 5 + -220024? -22001d In base 5, what is 21 - -4312214? 4312240 In base 16, what is 9 - 1352? -1349 In base 16, what is 17b + 30? 1ab In base 8, what is 33505 - -1? 33506 In base 6, what is -2112113 + 1? -2112112 In base 12, what is -109 + 286? 179 In b
{ "pile_set_name": "DM Mathematics" }
46710? 6 What is the thousands digit of 70690? 0 What is the thousands digit of 4752? 4 What is the tens digit of 4405? 0 What is the hundreds digit of 131? 1 What is the tens digit of 14926? 2 What is the units digit of 3118? 8 What is the tens digit of 2188? 8 What is the tens digit of 8288? 8 What is the hundreds digit of 2024? 0 What is the tens digit of 38287? 8 What is the tens digit of 4235? 3 What is the hundreds digit of 205? 2 What is the ten thousands digit of 21239? 2 What is the thousands digit of 33768? 3 What is the tens digit of 8891? 9 What is the thousands digit of 25713? 5 What is the units digit of 45314? 4 What is the hundreds digit of 57854? 8 What is the tens digit of 41458? 5 What is the thousands digit of 1881? 1 What is the thousands digit of 9386? 9 What is the units digit of 380? 0 What is the units digit of 319? 9 What is the units digit of 12752? 2 What is the hundreds digit of 1434? 4 What is the hundreds digit of 541? 5 What is the hundreds digit of 1484? 4 What is the tens digit of 5461? 6 What is the tens digit of 7941? 4 What is the thousands digit of 1589? 1 What is the units digit of 9818? 8 What is the tens digit of 39654? 5 What is the thousands digit of 86359? 6 What is the hundreds digit of 903? 9 What is the units digit of 83? 3 What is the hundreds digit of 2880? 8 What is the hundreds digit of 122608? 6 What is the tens digit of 803? 0 What is the thousands digit of 8464? 8 What is the units digit of 4294? 4 What is the ten thousands digit of 50284? 5 What is the units digit of 874? 4 What is the units digit of 8354? 4 What is the hundreds digit of 984? 9 What is the units digit of 24? 4 What is the units digit of 15560? 0 What is the hundreds digit of 7665? 6 What is the ten thousands digit of 14525? 1 What is the units digit of 2449? 9 What is the tens digit of 8175? 7 What is the thousands digit of 1517? 1 What is the ten thousands digit of 28206? 2 What is the units digit of 184? 4 What is the thousands digit of 3619? 3 What is the hundreds digit of 3740? 7 What is the units digit of 781? 1 What is the tens digit of 5851? 5 What is the tens digit of 29718? 1 What is the tens digit of 20441? 4 What is the thousands digit of 46889? 6 What is the hundreds digit of 6827? 8 What is the tens digit of 6245? 4 What is the units digit of 9? 9 What is the hundreds digit of 2707? 7 What is the hundreds digit of 748? 7 What is the ten thousands digit of 83187? 8 What is the hundreds digit of 85989? 9 What is the thousands digit of 31126? 1 What is the hundreds digit of 800? 8 What is the ten thousands digit of 50660? 5 What is the ten thousands digit of 10105? 1 What is the ten thousands digit of 53505? 5 What is the hundreds digit of 3381? 3 What is the ten thousands digit of 82990? 8 What is the hundreds digit of 4533? 5 What is the hundreds digit of 16755? 7 What is the units digit of 705? 5 What is the thousands digit of 66387? 6 What is the tens digit of 602? 0 What is the hundreds digit of 595? 5 What is the thousands digit of 111815? 1 What is the thousands digit of 2611? 2 What is the hundreds digit of 2237? 2 What is the tens digit of 46173? 7 What is the units digit of 43437? 7 What is the thousands digit of 31790? 1 What is the tens digit of 315? 1 What is the tens digit of 1355? 5 What is the thousands digit of 3344? 3 What is the hundreds digit of 16431? 4 What is the units digit of 13558? 8 What is the tens digit of 7406? 0 What is the thousands digit of 47462? 7 What is the thousands digit of 5089? 5 What is the tens digit of 212? 1 What is the hundreds digit of 602? 6 What is the units digit of 4037? 7 What is the units digit of 787? 7 What is the thousands digit of 16217? 6 What is the units digit of 70437? 7 What is the thousands digit of 1585? 1 What is the units digit of 2863? 3 What is the thousands digit of 9118? 9 What is the tens digit of 3992? 9 What is the units digit of 131527? 7 What is the thousands digit of 13911? 3 What is the ten thousands digit of 26690? 2 What is the tens digit of 1787? 8 What is the hundreds digit of 109387? 3 What is the tens digit of 500? 0 What is the units digit of 25? 5 What is the hundreds digit of 8334? 3 What is the tens digit of 59? 5 What is the tens digit of 144? 4 What is the thousands digit of 62526? 2 What is the thousands digit of 2031? 2 What is the tens digit of 56969? 6 What is the hundreds digit of 20686? 6 What is the units digit of 27657? 7 What is the ten thousands digit of 54942? 5 What is the thousands digit of 9450? 9 What is the hundreds digit of 736? 7 What is the units digit of 14151? 1 What is the units digit of 8296? 6 What is the ten thousands digit of 13609? 1 What is the thousands digit of 25464? 5 What is the thousands digit of 123116? 3 What is the units digit of 6236? 6 What is the thousands digit of 24478? 4 What is the tens digit of 47416? 1 What is the thousands digit of 11386? 1 What is the thousands digit of 20001? 0 What is the hundreds digit of 22531? 5 What is the tens digit of 106630? 3 What is the hundreds digit of 1330? 3 What is the tens digit of 72778? 7 What is the tens digit of 27112? 1 What is the thousands digit of 1757? 1 What is the hundreds digit of 41602? 6 What is the thousands digit of 46171? 6 What is the units digit of 906? 6 What is the hundreds digit of 9389? 3 What is the units digit of 92331? 1 What is the tens digit of 117647? 4 What is the thousands digit of 20147? 0 What is the tens digit of 1940? 4 What is the units digit of 5787? 7 What is the thousands digit of 13365? 3 What is the thousands digit of 1288? 1 What is the hundreds digit of 2403? 4 What is the units digit of 5548? 8 What is the hundreds digit of 1439? 4 What is the units digit of 54480? 0 What is the units digit of 9106? 6 What is the hundreds digit of 506? 5 What is the thousands digit of 1907? 1 What is the thousands digit of 87387? 7 What is the thousands digit of 13751? 3 What is the hundreds digit of 1769? 7 What is the hundreds digit of 2137? 1 What is the thousands digit of 1317? 1 What is the tens digit of 1540? 4 What is the hundreds digit of 53785? 7 What is the units digit of 19377? 7 What is the hundreds digit of 9630? 6 What is the tens digit of 24462? 6 What is the tens digit of 179936? 3 What is the thousands digit of 104855? 4 What is the thousands digit of 3276? 3 What is the hundreds digit of 11411? 4 What is the tens digit of 384? 8 What is the tens digit of 4366? 6 What is the tens digit of 38001? 0 What is the hundreds digit of 1630? 6 What is the tens digit of 25387? 8 What is the tens digit of 7619? 1 What is the units digit of 25977? 7 What is the units digit of 40802? 2 What is the hundreds digit of 1757? 7 What is the tens digit of 870? 7 What is the thousands digit of 52346? 2 What is the thousands digit of 1523? 1 What is the tens digit of 6071? 7 What is the thousands digit of 2364? 2 What is the hundreds digit of 8391? 3 What is the units digit of 6189? 9 What is the thousands digit of 9944? 9 What is the thousands digit of 6651? 6 What is the ten thousands digit of 83687? 8 What is the tens digit of 2218? 1 What is the thousands digit of 4655? 4 What is the hundreds digit of 5400? 4 What is the thousands digit of 20200? 0 What is the hundreds digit of 722? 7 What is the units digit of 5464? 4 What is the thousands digit of 29573? 9 What is the thousands digit of 29205? 9 What is the thousands digit of 11277? 1 What is the units digit of 660? 0 What is the thousands digit of 7230? 7 What is the tens digit of 1050? 5 What is the tens digit of 6796? 9 What is the tens digit of 212? 1 What is the tens digit of 33858? 5 What is the thousands digit of 6055? 6 What is the ten thousands digit of 53610? 5 What is the thousands digit of 39102? 9 What is the tens digit of 12882? 8 What is the hundreds digit of 5799? 7 What is the units digit of 1022? 2 What is the hundreds digit of 17926? 9 What is the thousands digit of 1656? 1 What is the tens digit of 5776? 7 What is the tens digit of 11329? 2 What is the tens digit of 1296? 9 What is the ten thousands digit of 17638? 1 What is the ten thousands digit of 16055? 1 What is the hundreds digit of 28828? 8 What is the ten thousands digit of 14319? 1 W
{ "pile_set_name": "DM Mathematics" }
the highest common factor of u and x. 14 Let w(h) = 24*h + 410. Let y be w(-17). Suppose y*s = -609 + 881. What is the greatest common factor of s and 102? 34 Suppose -7*b - 56 - 238 = 0. Let f(l) = 3*l**2 + 20*l - 10. Let u be f(-9). Let h = b + u. What is the highest common divisor of 44 and h? 11 Suppose 40*m + 35*m - 4875 = 0. Calculate the highest common factor of 182 and m. 13 Suppose -25658 = -14*z - 5936 + 4022. What is the highest common divisor of z and 352? 32 Let f(g) = -51*g - 2687. Let z be f(-53). What is the greatest common factor of 1616 and z? 16 Suppose -109*t = -8*t - 63 - 341. What is the greatest common divisor of 2500 and t? 4 Let o = -17141 + 36351. What is the highest common divisor of 170 and o? 170 Let f be (-508)/(-3)*(-6)/(-4). Suppose -3*c + c + f = 0. Suppose c = 15*i - 113. Calculate the greatest common factor of i and 8. 8 Let y be -7*(12*-1)/2. Suppose 0 = -4*p + 25 - 5. Suppose 4*s = -5*v + 1882, 5*s = -p*v + 4*s + 1888. Calculate the highest common divisor of y and v. 42 Let g be (-4 + 1)*42/(-63). Let v(k) = -35 + k**g + 40 + 2*k**2 + 13*k. Let l be v(-5). Calculate the highest common factor of 15 and l. 15 Let h(x) = -7*x**2 + 17*x - 39. Let j be h(-12). Let y = j - -1284. Suppose 3*p - 10*v = -5*v + 91, -5 = v. What is the greatest common factor of p and y? 11 Suppose -4*f - 54 = -46. Let p be f*((-1435)/10)/7. What is the highest common factor of 287 and p? 41 Suppose 69*t - 31*t - 21672 = -88*t. What is the greatest common divisor of t and 473? 43 Let y be 88/(-33)*(-1 - 8). Suppose y*t - 408 = 192. What is the greatest common divisor of 50 and t? 25 Suppose -134*l = -754 - 720. What is the greatest common divisor of 55 and l? 11 Let q = -25 + 27. Let l = 22 - q. Let r = -163 + 168. Calculate the greatest common divisor of r and l. 5 Let p = -433 - -252. Let n = p + 189. What is the highest common factor of 10 and n? 2 Let g be (10/4 - (275/10)/1)*-2. Calculate the highest common factor of 6850 and g. 50 Let a(f) = f**2 + 6*f - 3. Let x be a(-6). Let b be (-6 - -5)*(x + 1). Suppose 4 + 13 = w + t, 0 = b*t + 6. Calculate the greatest common divisor of w and 60. 20 Let o = 656 - 729. Let b = o - -297. What is the greatest common factor of 42 and b? 14 Let s be 3/(1*(-1)/(-7)). Suppose 28*x - 151*x + 2417 = -166. Calculate the greatest common factor of s and x. 21 Suppose -21813 = -22*v - 6237. What is the greatest common factor of v and 264? 12 Suppose -191*n - 2*t + 7 = -188*n, 5*t + 21 = -2*n. Calculate the highest common divisor of 3304 and n. 7 Let z(i) = -5*i**3 - 26*i**2 - 7*i + 6. Let k be z(-5). Let n(c) = 15*c + 8. Let x be n(8). What is the greatest common divisor of x and k? 16 Suppose 5*k + 108 = -f + 3*k, 2*k = 2*f + 198. Let m be (f/(-9))/(2/3). What is the highest common divisor of m and 51? 17 Let k be (15*24/27)/((-2)/(-6)). Let w be 3/((-27)/(-168))*90/k. Let x = w + -27. Calculate the greatest common factor of 15 and x. 15 Suppose 28726 = 16*m + 26678. What is the greatest common divisor of 3008 and m? 64 Let m be (2 - 57/14 - (-16)/28)*-266. Calculate the highest common factor of m and 3078. 57 Let l be ((-806)/(-78) - 10)/(2/6024). Calculate the highest common factor of 4 and l. 4 Let l = -395 + 437. Suppose -222 = -q + l. Suppose 0 = 3*f - 30 - 42. Calculate the greatest common divisor of f and q. 24 Suppose w + 105142 = 5*r, 4*r - 40095 = -2*w + 44013. Calculate the highest common divisor of r and 28. 28 Let h(s) = s + 72. Let n = 58 - 58. Let y be h(n). Let t = -62 + y. Calculate the greatest common factor of t and 80. 10 Let g be 37/(-333) + 3 + 2812/36. Calculate the greatest common factor of 837 and g. 27 Let m(f) = -69*f**2 + 3*f - 3. Let n be m(1). Let k = 126 + n. Let g = -27 + k. What is the greatest common factor of 15 and g? 15 Let c be 152 + -150 + (-180)/(-2). Calculate the greatest common divisor of c and 100. 4 Let p = -29630 - -30306. What is the greatest common divisor of p and 16? 4 Suppose 5*y = -356 - 269. Let n = -69 - y. Let g = -926 - -940. Calculate the highest common factor of n and g. 14 Let z = 262 - 182. Suppose 8*f + 6 = 46. Suppose 3*y - f*y + 20 = 0. Calculate the greatest common divisor of y and z. 10 Let y = -1967 - -3015. Let j be 5/2 - y/(-16). What is the greatest common factor of j and 17? 17 Let p = 6 + -10. Let l be 4*((-7)/p + 0). Suppose -5 - 2 = 56*f - 63*f. What is the greatest common divisor of f and l? 1 Suppose 2*q - 3*i = 278, -87*i + 91*i + 688 = 5*q. What is the greatest common factor of 72 and q? 8 Suppose -119 - 313 = -9*n. Let q(c) = -c**2 + 8*c + 4. Let b be q(6). Let v = b + -4. What is the highest common divisor of n and v? 12 Suppose 106*b - 23*b = -54*b + 32606. What is the greatest common divisor of 49 and b? 7 Let m = 187 - -213. Suppose 52*x = 10*x + 546. Let l = x + 37. Calculate the highest common factor of m and l. 50 Let r(a) = a**2 - a - 8. Let c be r(0). Let v be (35/(-20))/(2 - 66/32). Let i = c + v. What is the highest common factor of 30 and i? 10 Suppose -48*a + 10838 = 9521 - 19851. What is the highest common divisor of a and 135? 9 Let p(z) = -16*z + 209. Let w = -719 + 723. Let f be p(w). Let s be (58/8)/(3/12). Calculate the highest common factor of s and f. 29 Let j = 192064 + -191574. Let y(v) = v**2 + 5*v - 4. Let a be y(-7). What is the highest common factor of j and a? 10 Let m = -654 - -834. Suppose 19*b - 541 = -m. Calculate the highest common divisor of 1 and b. 1 Let v(d) = d**2 + 6*d + 3. Let n be v(-5). Let j be 2 - 114/9 - n/3. Let i be (32/j)/(4/(-10)). Calculate the highest common factor of i and 16. 8 Suppose 4*i = 20, -47*i = -2*l - 46*i + 45. What is the highest common factor of l and 4550? 25 Let x be (-2880)/(-7680) - ((-21)/8 - -1). Calculate the highest common divisor of 12778 and x. 2 Suppose 4*p = -v + 565, 5*p - 485 - 210 = v. Let m = 20477 + -20393. What is the greatest common factor of m and p? 28 Suppose 28*h - 77 = -217. Let i(m) = -m**2 - 18*m - 5. Let a be i(h). Let x = -19 + 34. Calculate the greatest common factor of x and a. 15 Suppose 732 = -125*t + 2982. What is the greatest common factor of t and 6174? 18 Suppose -4*o + 81 = -55. Let h = o - 31. Suppose -50 = -2*p - 2*f, 1 = f - h. Calculate the highest common divisor of 189 and p. 21 Let q be ((-132)/(-18))/((-2)/(-3)). What is the highest common factor of 649 and q? 11 Suppose w + 4*a - 100 = 0, 5*a = -w + 115 - 14. Let c(g) = 60*g + 22. Let f be c(-2). Let x = 146 + f. What is the highest common divisor of w and x? 48 Let w = 8998 - 8296. What is the greatest common factor of w and 208? 26 Suppose 3*s - 113*k = -108*k + 1439, 5*s - 2*k - 2373 = 0. Calculate the greatest common factor of s and 374. 11 Let k(m) = 3*m - 50. Let v be k(19). Suppose 6*y - 3*c = v*y - 8, -4*c = 3*y - 24. Calculate the greatest common factor of 4 and y. 4 Let f be 4*(2 + (-7)/12*3). Let d be 26 - (2 + -2)*(f + 0). Suppose 0 = 9*r - d - 64. Calculate the highest common divisor of r and 80. 10 Suppose -5*h = -a - 75, 0 = -5*h + 5*a + 28 + 27. Let j(s) = -s**3 - 22*s**2 + 22*s - 32. Let y be j(-24). What is the greatest common factor of h and y? 16 Let t = 44249 + -43212. What is the highest common factor of t and 1190? 17 Let i be (55/(-10) - -4)/((-36)/2640). Calculate the highest common factor of 3025 and i. 55 Let a = -51 - -57. Let d(v) = -v**3 + 5*v**2 + 4*v + 14. Let u be d(a). Suppose 41 - 15 = u*n. What is the highest common factor of n and 52? 13 Let w(n) = -n**3 - 15*n**2 + 16*n + 15. Let a be (12/1)/(((-819)/52)/21). Let l be w(a). Calculate the greatest common factor of 60 and l. 15 Let j be -28*20/40*(0 + -2)*5. What is the greatest common factor of 5740 and j? 140 Suppose -56*h + 4074 = 41*h. Let j be 28/70 + (-523)/(-5). What is the highest common factor of h and j? 21 Suppose 2*i - 1040 = -5*r - 331, -152 = -r + 3*i. Suppose -14*c - r = -25*c. Calculate the highest common divisor of c and 2. 1 Let q = 4375 + -3595. Calculate the highest common factor of 455 and q. 65 Let u = -460 - 277. Let y = -663 - u. Calculate the highest common divisor of 37 and y. 37 Let f(v) = -2*v**2 - 53*v - 47. Let x be f(-15). Let k = x - 145. What is the greatest common divisor of k and 9? 9 Let g(m) be the second derivative of m**3/6 + 11*m**2 - 30
{ "pile_set_name": "DM Mathematics" }
3. Factor j(p). 2*(p - 1)*(p + 1) Suppose 8 = j + j. Factor 5*q**3 - 166 + 6*q**2 + 14*q**3 + 166 - 7*q**j. -q**2*(q - 3)*(7*q + 2) Let b = -59 + 61. Factor -52*a + 33*a + 27*a + b*a**2. 2*a*(a + 4) Suppose 246 = -5*m - 44. Let i = 58 + m. Solve 1/4*b + i - 1/4*b**2 = 0 for b. 0, 1 Let i(j) = -4*j + 36. Let d be i(8). Suppose x + 8 = -2*u, 1 = d*x + u - 2. Factor 18/5*l**3 + 12/5*l**x + 0 + 2/5*l. 2*l*(3*l + 1)**2/5 Factor -2/5*l**3 + 4 - 6/5*l - 12/5*l**2. -2*(l - 1)*(l + 2)*(l + 5)/5 Factor 21*b**2 - 4*b**3 + 150*b + 13*b**3 - 132*b + 12*b**2. 3*b*(b + 3)*(3*b + 2) Let -63/4*a + 1/4*a**3 - 15/2*a**2 - 8 = 0. What is a? -1, 32 Let u(s) be the second derivative of -5*s**4/24 + 235*s**3/6 - 11045*s**2/4 + 165*s. Factor u(r). -5*(r - 47)**2/2 Let j(c) = 5*c**2 - 2. Let b be j(1). Let f(p) = -p**3 - p**2 + p + 1. Let x(y) = y**2 - 1. Let q(s) = b*x(s) + f(s). Find k such that q(k) = 0. -1, 1, 2 Let f = 16360 + -16358. Factor 21 - 6*u + 3/7*u**f. 3*(u - 7)**2/7 Let j = 18/143 + -2287/19305. Let i(d) be the third derivative of -j*d**6 + 0 + 1/270*d**5 - 5*d**2 + 0*d + 0*d**4 + 1/315*d**7 + 0*d**3. Factor i(u). 2*u**2*(u - 1)*(3*u - 1)/9 Let y be (-3 - -1)/(-8 - (-36)/8). Determine s so that 6/7*s + y + 2/7*s**2 = 0. -2, -1 Let j(z) be the first derivative of -z**5 - 5*z**4/4 + 20*z**3/3 + 10*z**2 - 5. Solve j(s) = 0 for s. -2, -1, 0, 2 Let r(u) = u**5 - u**3 + u**2 - u. Let w(z) = 8*z**5 - 11*z**3 + 5*z**2 - 2*z. Let y(d) = -5*r(d) + w(d). Let y(t) = 0. Calculate t. -1, 0, 1 Let n(h) be the second derivative of -h**6/135 + h**5/45 + 5*h**4/18 - 32*h**3/27 + 16*h**2/9 - 205*h. Determine u, given that n(u) = 0. -4, 1, 4 Factor -96*k**5 - 46*k**5 + 40*k**4 + 147*k**5. 5*k**4*(k + 8) Let h(m) be the second derivative of -m**6/240 + m**5/20 + 5*m**3/3 + 9*m. Let v(i) be the second derivative of h(i). Factor v(n). -3*n*(n - 4)/2 Let a be (-9135)/(-870) - (9 - -1). Factor 0 + 7/4*z**2 - 7/4*z**4 - 1/2*z + a*z**3. -z*(z - 1)*(z + 1)*(7*z - 2)/4 Let z(k) be the third derivative of -k**5/210 + 2*k**4/7 - 48*k**3/7 + 208*k**2. Factor z(b). -2*(b - 12)**2/7 Let c(f) be the third derivative of -f**8/16800 - f**7/6300 + 7*f**4/12 + 4*f**2. Let w(k) be the second derivative of c(k). Find b, given that w(b) = 0. -1, 0 Let y(q) = -2*q - 3. Let f be y(-3). Factor 3*a**3 - 11*a**2 + 0*a**f + 5*a + 4*a + 3*a - 4. (a - 2)*(a - 1)*(3*a - 2) Let q be -3 - ((7 - 2) + -16). Factor x**3 - q*x**2 + 7*x**4 + 4*x - 7*x**4 + 0*x + 3*x**4. x*(x - 1)*(x + 2)*(3*x - 2) Let r(c) be the second derivative of -c**7/7 + 19*c**6/15 - 33*c**5/10 + 3*c**4/2 + 30*c + 2. Factor r(d). -2*d**2*(d - 3)**2*(3*d - 1) Let j be 170/(-340) - 11/(-6). Factor -2/9*t**2 - j*t - 10/9. -2*(t + 1)*(t + 5)/9 Let d = -95/1628 - -3/37. Let l(k) be the third derivative of 0 - 2/33*k**3 + 1/165*k**5 + 4*k**2 + 0*k + d*k**4. Suppose l(w) = 0. What is w? -2, 1/2 Suppose 3*p - y - 14 = 0, -3*y + 4*y = p - 4. Let v(m) = -m**3 + 5*m**2 - 2*m + 12. Let w be v(p). Factor -10/7*h + 2/7*h**w + 8/7. 2*(h - 4)*(h - 1)/7 Let v(m) be the second derivative of m**6/15 - 9*m**5/10 + 3*m**4 + 4*m**3/3 - 24*m**2 + m + 56. Solve v(t) = 0. -1, 2, 6 Let g(m) = -58*m**2 - 2080*m - 108148. Let i(z) = 24*z**2 + 832*z + 43259. Let y(u) = 5*g(u) + 12*i(u). Factor y(r). -2*(r + 104)**2 Let c(m) be the first derivative of 4*m**5/35 - 32*m**4/7 + 296*m**3/7 + 1088*m**2/7 + 1156*m/7 + 108. Suppose c(b) = 0. What is b? -1, 17 Let v be 27*(-18)/(-2106)*13. Find g such that 1/4*g - 1/4*g**v + 3/4*g**2 - 3/4 = 0. -1, 1, 3 Let f = -63 + 66. Let 0*h**2 - 43*h**3 + 18*h + 37*h**3 - f*h**4 + 15*h**2 = 0. What is h? -3, -1, 0, 2 Let p(v) be the second derivative of v**10/30240 - v**8/6720 - v**4/6 - 11*v. Let t(u) be the third derivative of p(u). Factor t(w). w**3*(w - 1)*(w + 1) Suppose 24*k - 3 = 27*k. Let u be ((-8)/(-84))/k*-9. Solve -8/7*v - u - 2/7*v**2 = 0. -3, -1 Factor 215/9*l + 1/9*l**2 + 0. l*(l + 215)/9 Suppose -5*x + 79 = -131. Solve -24*h**3 - 2*h**4 - 18*h**3 + 2*h**2 + x*h**3 = 0 for h. -1, 0, 1 Suppose 5*v + 25*v + 10*v**2 - v**2 - 48 - 12*v**2 = 0. What is v? 2, 8 Let o = -564 + 303. Let r = o - -264. Determine b, given that 0*b**2 - 2/3 + 4/3*b**r - 4/3*b + 2/3*b**4 = 0. -1, 1 Let b = -1988 - -1991. Factor -3*h**2 - 25 - 1/5*h**b - 15*h. -(h + 5)**3/5 Let a(q) be the third derivative of -q**5/150 - q**4/20 + 4*q**3/15 - 429*q**2. Factor a(u). -2*(u - 1)*(u + 4)/5 Let n(f) be the third derivative of f**6/450 + f**5/15 + 3*f**4/10 - 8*f**3/3 - 27*f**2. Let x(s) be the first derivative of n(s). Factor x(u). 4*(u + 1)*(u + 9)/5 Let j = 12538947/13 - 964025. Let f = 510 - j. Factor -8/13*o - 2/13*o**5 + 0 - f*o**2 + 6/13*o**3 + 4/13*o**4. -2*o*(o - 2)**2*(o + 1)**2/13 Let r be ((-36)/(-70))/((-10)/((-2800)/21)). Factor 24/7*d + r + 3/7*d**2. 3*(d + 4)**2/7 Let h(l) be the third derivative of -l**7/1050 + l**6/200 - l**4/30 + 62*l**2. Factor h(s). -s*(s - 2)**2*(s + 1)/5 Factor 6/7*q**2 + 2/7*q**4 - 8/7 + 8/7*q**3 - 8/7*q. 2*(q - 1)*(q + 1)*(q + 2)**2/7 Let j(g) be the second derivative of 0 + 15*g - 2*g**3 + 18*g**2 + 1/12*g**4. Determine c so that j(c) = 0. 6 Let z = 1067 + -1057. Let y(h) be the first derivative of -20*h - 5/2*h**4 - 10*h**2 + 25*h**3 - z - 5*h**5. Find x, given that y(x) = 0. -2, -2/5, 1 Let x(b) be the second derivative of -b**7/14 - 4*b**6/5 - 27*b**5/10 + 27*b**3/2 - b + 3. Suppose x(q) = 0. Calculate q. -3, 0, 1 Let n(x) be the second derivative of -x**6/2 - 17*x**5/4 + 5*x**4/2 + 224*x. Find q, given that n(q) = 0. -6, 0, 1/3 Let c be 10/(-20)*(2 - 2). Let i(f) be the second derivative of 1/42*f**4 - 1/105*f**6 + 7*f + 0 - 1/21*f**3 + 1/70*f**5 + c*f**2. Factor i(b). -2*b*(b - 1)**2*(b + 1)/7 Let u(g) = -g - 4. Let h be u(-4). Suppose h = 2*w - 3*j + 5, -2*w + 13 - 3 = 2*j. Factor -o - w*o - 7 + 3 - o - o**2. -(o + 2)**2 Let d(l) be the second derivative of l**4/48 + l**3/12 + l**2/8 + 41*l. Find m such that d(m) = 0. -1 Let x(m) = 32*m**2 + 2*m - 2. Let r be x(1). Let b = r + -27. Let -b*l + l + 4*l + l - l**2 = 0. Calculate l. 0, 1 Let u(v) be the third derivative of 1/480*v**6 + 9/8*v**4 + 3/40*v**5 - 4*v**2 + 9*v**3 + 0 + 2*v. Let u(t) = 0. What is t? -6 Suppose -48*p = 32*p + 41*p - 363. Determine g so that 1/4 - 1/4*g + 1/4*g**p - 1/4*g**2 = 0. -1, 1 Let t(c) be the first derivative of c**4/8 + 17*c**3/6 - 29*c**2/2 + 20*c - 310. Factor t(i). (i - 2)*(i - 1)*(i + 20)/2 Let f = -57 + 55. Let b(o) = -o**2 + o + 6. Let y be b(f). Factor 6*q**3 + 3*q**4 + y + 15/4*q**2 + 3/4*q. 3*q*(q + 1)*(2*q + 1)**2/4 Find r, given that 50*r**2 + 312 + 80 - 48*r**2 - 56*r = 0. 14 Let j be 9660/126 + (1 - 0)/(-3). Let n = j + -75. Factor 2/3 + 2/3*c**2 - n*c. 2*(c - 1)**2/3 Let u = -11015 + 11017. Factor -5/2 + 3*d - 1/2*d**u. -(d - 5)*(d - 1)/2 Let h = -64166/5 - -12880. Let z(o) be the first derivative of -40*o**2 - 41/2*o**4 - 8*o + 27*o**6 + h*o**5 + 5 - 226/3*o**3. Determine g, given that z(g) = 0. -1, -2/9, 1 Suppose -2*q - 3*q + 80 = 0. Factor -4*o**2 + 4*o**2 + 2*o - 10*o - q*o**3 - 44*o**2 + 20*o**4. 4*o*(o - 2)*(o + 1)*(5*o + 1) Let z be (-40)/336*4/(-100). Let r(g) be the third derivative of 0*g**5 - z*g**7 - 4*g**2 + 0*g**6 - 1/336*g**8 + 0*g**3 + 0*g + 0 + 0*g**4. Factor r(q). -q**4*(q + 1) Let u(v) be the second derivative of 13*v - 3/5*v**5 - 5/3*v**4 - 4/3*v**3 + 2/15*v**6 + 2/21*v**7 + 0*v**2 + 0. Determine g, given that u(g) = 0. -1, 0, 2 Let q be (6/(-12))/(1/(-6)). Suppose a = 2*z - 0*a - 5, 0 = -3*a - q. What is v in -z*v**3 - 2*v**2 + 0*v**2 + 2*v**5 + 2*v**4 + 3*v**5 - 3*v**5 = 0? -1, 0, 1 Factor 42*i**2 + 43904 + 2352*i + 1/4*i**3. (i + 56)**3/4 Suppose 3*f = -k + 8 - 23, 0 = -5*k + 2*f - 41. Let b = k - -11. Factor 0*g + b*g + g**2 - 3*g**2. -2*g*(g - 1) Suppose w + 219 + 245 = -3*o, 133 = -o + 4*w. Let a = o - -155. Factor 1/4*l**a + 1/2 + 3/4*l. (l + 1)*(l + 2)/4 Let q = -351/196 - -100/49. Factor -q*t**2 + 0 + 1/4*t**3 - 1/2*t. t*(t - 2)*(t + 1)/4 Let y(s) be the first derivative of 23/2*s**4 - 30*s**3 - 11/5*s**5 + 11 - 27*s + 81/2*s**2 + 1/6*s**6. Factor y(n). (n - 3)**3*(n - 1)**2 Let l be (2/(-3))/(7/(-21)). Let p(b) be the first derivative of 3/5*b**5 + 3/4*b**4 - 3/2*b**l - 4 + 0*b - b**3. Factor p(h). 3*h*(h - 1)*(h + 1)**2 Let a(r) = 3*r**3 - 6*r**2 + 9*r - 1. Let b(x) = 2*x**3 - 1
{ "pile_set_name": "DM Mathematics" }
d = 15 + -9. Let v = -16982/11 + 1544. What is the nearest to 0 in 4, v, d? v Let x = 263/104 + -28/13. What is the closest to -1 in 3, x, 5? x Suppose y + 7 = 9. Suppose 3*p - 40 = -y*p. Suppose -3*g = -g + p. Which is the nearest to 4? (a) 0.1 (b) -3 (c) g a Let b = -0.06 + -0.34. Let a = 74 - 72.92. Let w = 4.08 - a. What is the closest to 1 in w, 1/4, b? 1/4 Let f be -4 - (-2 - (-4)/(-2)). What is the closest to -1 in 1, -0.019, f? -0.019 Let i be (-6)/(-21) - 130/14. Let k be 12/i*21/14. Which is the nearest to 2/3? (a) 1 (b) k (c) 4 a Let q = 141 + -281/2. Which is the closest to -7? (a) -4 (b) q (c) 3 a Let l = -257.9 + 246. Let r = -11.5 - l. Which is the nearest to 3? (a) 0.05 (b) 3/4 (c) r b Let i = -701/77 + 97/11. Which is the nearest to -3? (a) 4 (b) i (c) 1 (d) -5 d Let k = -0.0595 + -3.9405. What is the nearest to -2/11 in 0.5, k, -2/3? -2/3 Let u = 4.005 - 0.005. Which is the nearest to -1/2? (a) -1/3 (b) 0.2 (c) -0.3 (d) u a Let u be ((-45)/(-20) + -1)/(3/(-4)). Which is the closest to 1/3? (a) u (b) -1/2 (c) 3 b Let d = -330 - -329. Let b = -0.3 - -0.1. What is the nearest to d in 0, b, 2/15? b Let q = 1 + 1.4. Let v = 0.4 - q. Let k = -6 + 6. Which is the closest to k? (a) -1 (b) v (c) -1/2 c Let f = -3/169 + -163/338. Let n = 65667/4 + -17401311/1060. Let u = 1/53 - n. Which is the closest to 3? (a) u (b) f (c) 3/2 c Let t = -13 - 1. Let g be (-5)/(-15) - t*2/(-48). What is the closest to g in 3, -2, 2? -2 Suppose -28*t + 34*t - 24 = 0. What is the closest to -1 in t, -41, 2/5? 2/5 Let b(n) = -7*n + 58. Let h be b(8). Let q = 0.7 - 0.9. What is the nearest to -1/2 in q, -0.5, h? -0.5 Suppose 3*f + 131 = 4*g, -4*g - 40 = f - 183. Suppose -v + 10 = 5*d + g, 3*d = 3*v - 33. Let l be (-10)/d*10/25. What is the closest to 1 in -0.1, l, -1? l Let g = 7 - 6.7. Let y = -0.04 + -1.96. Let o = 5 - 5. Which is the nearest to o? (a) g (b) -4 (c) y a Let r = -0.0182 + 3.0182. Which is the closest to -0.1? (a) -0.08 (b) r (c) 2/19 a Let t = 1256 - 1255.8. Let g = 27 + -82/3. What is the closest to g in t, -3/7, -2/3? -3/7 Suppose 8 - 16 = -4*o + 4*i, -3*o = -4*i - 5. Which is the nearest to 1? (a) 1 (b) -0.17 (c) o a Let y = -546 - -542. Which is the nearest to -5? (a) 2/5 (b) y (c) -5 (d) -2/5 c Let y = 4 + 0. Let s = 3477 - 3475. Which is the nearest to s? (a) -0.1 (b) -41 (c) y c Let w = 197/330 - 13/66. Which is the closest to w? (a) -5 (b) 6/29 (c) -0.1 b Let r = -4.86 - 0.04. Let i = -5 - r. Suppose 0 = -2*g - g. What is the closest to i in -2, -0.1, g? -0.1 Let n = 13.6 + -19. Let w = 1.4 + n. Let z = 8 + -6. What is the nearest to 7 in z, w, 4? 4 Suppose 3*p + 8 = -4*v - 0, -5*v = -4*p + 10. Let n = -14 + 16. Let o be (-63)/18*n/(-42). Which is the nearest to o? (a) p (b) -5/6 (c) 0.1 c Let v = 0.4 + 0.6. Let t = -1.12 - -4.12. Which is the closest to -0.1? (a) v (b) t (c) -3 a Let t be (-1 - -4)*(-2)/(-10). Let x = -205.16 + 209. Let l = x + 0.16. Which is the nearest to 1? (a) t (b) l (c) 1 c Let u = -400 + 401. Let j = -12 - -16. Which is the closest to -0.2? (a) j (b) u (c) 15 b Let k = 429 - 433. Which is the nearest to -1? (a) -5 (b) 10 (c) k c Let t = 1.7 + -1.85. Let k = t - -0.45. Let x = -0.5 + k. What is the closest to -3/4 in -2/13, 3, x? x Let n = 2 - 3. Let h be (1/5 + 0)/n. Let a = 584.9 + -585. What is the closest to a in h, -1/3, 2/7? h Let v = -1 - -1. Let j be -2 - (-8 + (-256)/(-40)). Which is the closest to -1? (a) j (b) v (c) 0.1 a Let o = 361398/11735 - -8/2347. Let m = 31 - o. What is the closest to -1/2 in -5, -0.4, m? -0.4 Let m be 9 - (-2 + 279/27). What is the nearest to m in 2/13, -1/6, 2/11, -2/27? 2/11 Let p = 0.164 + 4.836. Which is the closest to 1? (a) p (b) 0.3 (c) 0.5 c Let c be (-4)/10 - (-36)/15. Let l be (-4)/(-30) - c/6. Let p = -157 - -1725/11. What is the closest to -1 in p, l, 5? l Let n = 10195 - 10195. Let g be 10/36 - (-2)/(-4). Which is the closest to n? (a) -2 (b) -0.6 (c) g c Let p = -262.3 + 262.38. Which is the nearest to -3? (a) p (b) 1/2 (c) 19 a Let o = -0.9 + 1.7. Let z = o - -0.2. What is the nearest to -0.04 in z, -4, -0.1? -0.1 Let t = -85/6 + 95/6. Let f = 44 + -43.79. Let n = -0.21 + f. What is the nearest to 1/4 in 2, t, n? n Let y = 9 - 4. Let d = 89 + -88.8. What is the closest to -0.1 in y, -2/9, d? -2/9 Let y = -2.72 - -0.99. Let m = y - -1.83. Suppose 3 = -2*g - 1. Which is the closest to m? (a) -4 (b) g (c) -2/13 c Let m be (0*4/(-16))/(-5 - -6). Which is the nearest to m? (a) 0 (b) 0.2 (c) 4 a Suppose 110*a - 116*a = 30. Let m = 4 - 6. Let q = m - -1.5. What is the closest to 1 in q, a, 0.3? 0.3 Let v = -3.0026 - -0.0026. Which is the closest to 1? (a) v (b) -8/11 (c) 1 c Let r be 1/2*(-60)/159. Let m = r + 229/371. Let s = 5/809 + -1703/13753. Which is the nearest to -2? (a) s (b) 4 (c) m a Let m = -4.31 + 2.31. What is the nearest to -2 in -3/8, 6, m? m Let m be (-3)/(-18) + 3*17/(-90). Let l = -0.11 - -5.11. Let h be 3/(-9)*-6 + -2. Which is the nearest to h? (a) l (b) -2/7 (c) m b Let t = -0.46 - -2.51. Let v = 0.05 - t. Let z = -0.59 - 0.31. What is the nearest to 0.1 in 4, v, z? z Suppose -14 = -5*f - 59. Which is the nearest to -1? (a) 1/3 (b) f (c) -2 (d) 5 c Let j = -652.9 - -653. Which is the closest to j? (a) -1 (b) 2/7 (c) -4 (d) -1/4 b Let g be -3 - (-9)/(-3)*1*-1. Suppose g*k - 3*k = -3*h, 4*h + 5*k = -45. Let n = 0 - -1. What is the closest to n in -0.3, -2, h? -0.3 Suppose -4*w + 2*l = 20, -5*w - 3 = 3*l - 0. Let p = 13245 - 13244.8. Which is the nearest to p? (a) w (b) 0.5 (c) -4/3 b Let t = -3/10 + 4/5. Let g = -0.068 - -13.168. Let d = -13.3 + g. Which is the closest to -0.1? (a) 0.1 (b) d (c) t b Let c = -8.76 + 9. Let s = c + -0.14. Let x = -248/3 - -82. What is the nearest to x in s, -0.1, -0.2? -0.2 Let y be 8/((-160)/(-135)) + -7. Which is the nearest to 2/7? (a) 0.05 (b) y (c) 0.2 c Let j = 8.3 + -8. Let m(v) = 2*v**3 - 4*v**2 + 4*v + 2. Let o be m(4). Let i be 1*o/(-26) + 3. Which is the closest to -2/7? (a) i (b) -4 (c) j a Let n be (-21)/(-49)*(-4)/(-6). Let w = 4/513 - -998/3591. Let j be -5 - (-4 - -2)/1. Which is the closest to n? (a) 3 (b) j (c) w c Let g = -0.84 - -0.19. Let j = 0.15 + g. Let z = -3 + 2. Which is the closest to z? (a) j (b) -3/5 (c) 5 b Let j be (-3)/(-6)*106/(-159). Which is the closest to j? (a) 0 (b) 1/4 (c) 4/3 (d) 5 a Let x be 17/(-136)*1/2*4. Let n = 8 + -7.9. Which is the nearest to n? (a) x (b) -7 (c) 2 a Let o(y) = -y**3 - 2*y**2 + y + 3. Suppose 8*k - 2*k = -12. Let f be o(k). What is the closest to -2/9 in f, -4, 0.07? 0.07 Let w = -264 + 267. Let m = 41/40 + -5/8. Let x = 3/7 - 2/21. What is the closest to x in m, -1/9, w? m Let x = 12 - -182. Suppose -3*l + 50 = x. Let r be 5/(-12) - (-12)/l. Which is the nearest to -1? (a) -0.4 (b) 6 (c) r c Let b be 2/((1/(-4))/(-1)). Suppose -5*c + 7 = z - 2*z, 2*c = 3*z + b. What is the closest to 0.2 in 0, c, 2/3? 0 Let k = 54.12 - 0.12. Let p = -58 + k. Let g = 17 + -24. Which is the closest to 1? (a) p (b) g (c) 4 c Let k = -3/49 - 135/196. What is the nearest to 1 in k, 2, 1.2? 1.2 Let l = 0.1 + 0.1. Let f be (-216)/288*(-4)/(-3). Which is the nearest to l? (a) 1 (b) 0.4 (c) f b Let d = 124 + -98. Suppose 0 = -3*o - o + 8. Let t be o/1 + (-56)/d. What is the nearest to -0.1 in -0.4, t, -2? t Let u = 230 + -204.6. Let n = -25 + u. What is the nearest to -4 in 2/7, -2, n? -2 Let p be 6/13*2/(-6). Let s = -13 - -3. Let q be 4/10*s/14. Which is the closest to q? (a) 2/3 (b) p (c) -1/5 c Let p = -0.9 + 0.9. Let k = 214 + -214.89. Let n = 0.11 - k. Which is the closest to p? (a) 2/13 (b) -3/2 (c) n a Let m = 0.047 + 0.353. Which is the nearest to 0.1? (a) 0.06 (b) m (c) 1/5 (d) 2/15 d Let t = -13/17 - -9/34. Which is the closest to -1/5? (a) 7 (b) t (c) -0.1 c Let j = 0.07 - -0.63. Which is the closest to 1? (a) 0.3 (b) -3 (c) j c Let r = 0.273 + -5.273. What is the closest to -6 in 3/4, 0, 0.3, r? r Let w be (-6)/(((-15)/2)/5). Let r be ((-1)/(-4))/(w/8). Let v = 1381 + -1379. What is the closest to r in 5, 2/19, v? 2/19 Let g = -1/218 - 419/3706. Let n = 159/4 - 40. Which is the nearest to 1? (a) 2 (b) g (c) n
{ "pile_set_name": "DM Mathematics" }
prime factors of 505168351? 5807, 86993 List the prime factors of 40332897. 3, 11, 79, 191 List the prime factors of 165389619. 3, 23, 31, 167, 463 List the prime factors of 1227200947. 7, 17, 10312613 What are the prime factors of 1993533901? 23, 86675387 List the prime factors of 25377162. 2, 3, 109, 38803 What are the prime factors of 789065602? 2, 13, 4211, 7207 List the prime factors of 10470352. 2, 654397 What are the prime factors of 1414971136? 2, 509, 10859 What are the prime factors of 1576878217? 16097, 97961 What are the prime factors of 499691318? 2, 7, 104059 What are the prime factors of 4313478769? 4313478769 What are the prime factors of 1543803045? 3, 5, 433, 237691 What are the prime factors of 6990670761? 3, 23, 101314069 What are the prime factors of 1277038816? 2, 53, 14207 List the prime factors of 4285647812. 2, 47, 22795999 List the prime factors of 1744014085. 5, 11, 19, 1668913 What are the prime factors of 47551788? 2, 3, 17, 77699 What are the prime factors of 1619794874? 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2, 29, 137, 71287 List the prime factors of 909572495. 5, 13, 41, 341303 What are the prime factors of 2873563? 7, 11, 67, 557 List the prime factors of 64251857. 17, 23, 101, 1627 What are the prime factors of 3942547355? 5, 788509471 What are the prime factors of 561998151? 3, 11, 13, 436673 What are the prime factors of 2475715622? 2, 61, 103, 271, 727 List the prime factors of 1029986666. 2, 41, 2003, 6271 What are the prime factors of 10240935? 3, 5, 682729 List the prime factors of 17133450. 2, 3, 5, 17, 6719 List the prime factors of 172104097. 11, 15645827 What are the prime factors of 3053130532? 2, 103, 2399, 3089 What are the prime factors of 219084993? 3, 2704753 What are the prime factors of 274189520? 2, 5, 11, 59, 5281 What are the prime factors of 218322682? 2, 8501, 12841 List the prime factors of 3109519646. 2, 53, 173, 169567 List the prime factors of 333004444. 2, 521, 159791 List the prime factors of 759359322. 2, 3, 31, 113, 12043 What are the prime factors of 464152717? 7, 17, 1423, 2741 List the prime factors of 251451512. 2, 13, 421, 5743 List the prime factors of 1456945752. 2, 3, 2801, 21673 List the prime factors of 8674032. 2, 3, 19, 9511 What are the prime factors of 285584041? 19, 15030739 What are the prime factors of 877611187? 877611187 List the prime factors of 47748924. 2, 3, 1326359 List the prime factors of 111821388. 2, 3, 7, 1331207 List the prime factors of 992577. 3, 330859 What are the prime factors of 1787588123? 31, 57664133 List the prime factors of 229918786. 2, 29, 3964117 What are the prime factors of 129302364? 2, 3, 31, 347587 What are the prime factors of 19949369? 11, 1813579 What are the prime factors of 135159916? 2, 337, 100267 What are the prime factors of 376845034? 2, 43, 557, 7867 What are the prime factors of 302583564? 2, 3, 29, 109, 2659 List the prime factors of 2063063603. 1051, 1962953 List the prime factors of 849435032. 2, 106179379 List the prime factors of 748414561. 1301, 575261 List the prime factors of 738419148. 2, 3, 127, 373, 433 List the prime factors of 564056171. 7, 107, 753079 What are the prime factors of 191567290? 2, 5, 31, 617959 What are the prime factors of 37763814? 2, 3, 11, 572179 What are the prime factors of 780935073? 3, 223, 1167317 List the prime factors of 3072401495. 5, 12373, 49663 What are the prime factors of 63287428? 2, 1181, 13397 What are the prime factors of 7423021? 53, 140057 What are the prime factors of 15525761? 31, 500831 What are the prime factors of 1078881361? 1078881361 What are the prime factors of 1968697952? 2, 13, 4732447 What are the prime factors of 3460801409? 13, 59, 4512127 What are the prime factors of 286738978? 2, 727, 197207 List the prime factors of 39141973. 13, 17, 177113 List the prime factors of 212460275. 5, 797, 10663 What are the prime factors of 120198237? 3, 19, 37, 56993 List the prime factors of 621294307. 2731, 227497 List the prime factors of 1246171761. 3, 138463529 What are the prime factors of 89275583? 131, 681493 What are the prime factors of 819908593? 7, 233, 502703 List the prime factors of 105588622. 2, 52794311 What are the prime factors of 831622? 2, 11, 103, 367 List the prime factors of 605689855. 5, 17, 2129, 3347 What are the prime factors of 56084814? 2, 3, 43, 72461 What are the prime factors of 103864924? 2, 47, 552473 List the prime factors of 28507476. 2, 3, 31, 197, 389 What are the prime factors of 138069107? 11, 1141067 List the prime factors of 599388106. 2, 71, 103, 107, 383 List the prime factors of 63661301. 11, 5787391 List the prime factors of 49440131. 13, 17, 223711 List the prime factors of 520256049. 3, 17, 881, 11579 What are the prime factors of 1708404231? 3, 233, 2444069 What are the prime factors of 1905812978? 2, 31, 151, 203569 List the prime factors of 752472300. 2, 3, 5, 31, 80911 What are the prime factors of 130104652? 2, 23, 1414181 What are the prime factors of 9251635? 5, 23, 80449 List the prime factors of 43395698. 2, 547,
{ "pile_set_name": "DM Mathematics" }
x**(1/4))*((((x**(1/3)/x)/x)/x)**37)**(-7/6) assuming x is positive. x**(10747/90) Simplify (k/((k/(k/(k/(k/(k/(k*k/k**1))))))/k)*k)**30/(k**(-2)*k*k*k**(4/3)/k*k)*(k/(k/k**(1/4))*k**(-2/19))**(-36) assuming k is positive. k**(4757/57) Simplify (((t*t**(5/2))/(t**(-7/2)*t))/((t**(-5/3)*t)/((t*t/(t*t*t**(1/4)))/t)))**(-25/2) assuming t is positive. t**(-1625/24) Simplify (s**(-4/7)*s)/(s**6/s)*s/(s**(-2/5)*s)*s**(-2/5)*((s*s/((s*s*s**(-2/13))/s))/(s*s**3))**(-43) assuming s is positive. s**(10721/91) Simplify ((b**(-2/7))**26)**(-24/5)/((b**(-1/4)*b/b**(-2/21))/(b**(-1/4)*b*b/((b**(-5/4)/b)/b))) assuming b is positive. b**(16721/420) Simplify ((o**(-1/5))**(-1/65)*(o*o**14)/(o*(o*o**(1/21))/o))**30 assuming o is positive. o**(190492/455) Simplify (k/k**2*((k/(k*k*k/(k**5*k)))/k)/k)**49*(k/(k/(((k/(k**(2/3)*k))/k*k)/k))*k)**5*(k**1)**(1/32) assuming k is positive. k**(4387/96) Simplify ((r/r**(1/5))/r**(3/2))/(r*r**1/r)**2*(r**4*r**(-5))/(r/((r/r**(-1/4))/r*r))**(-4/3) assuming r is positive. r**(-121/30) Simplify (l*(l**(1/28)/l)/l)**(1/54)/(l*l*l/(l**(-37/5)/l)*l/((l*l/(l*l**(15/2)))/l)) assuming l is positive. l**(-5577/280) Simplify (g**1/g)**20/((g*g**(2/5))/g*g)**21*(g**0)**(-22)*(g/(g/(g*g**1/g*g)))**(-19) assuming g is positive. g**(-337/5) Simplify (((h**(-11)/(h*h/(h*h**7)))**(-38))**13)**(3/28) assuming h is positive. h**(3705/14) Simplify ((a/(a*a**9)*a)/a**(-18)*(a*a*a**19)/a**(-2/35))**(-8) assuming a is positive. a**(-8696/35) Simplify (((h/h**(-25))**(2/23))**(-15/4))**40 assuming h is positive. h**(-7800/23) Simplify ((k*k**6)/k*(k/(k/(k**4/k*k*k)))/k*k*(k/(k*k**(7/5)))/(k*k/((k**(-2/9)/k*k)/k)))/((k**1*k*k*k**(-4))/(k**(-1))**44) assuming k is positive. k**(-1648/45) Simplify (n**(-1)/(n/(n*(n**(-2/23)/n)/n*n*n)*n))**(-1/15)/((n*n/n**(-2))**41)**(-3/4) assuming n is positive. n**(14161/115) Simplify ((x*(x**(1/4)/x)/x*x)/(x/x**(5/2)))**50/((x**(-3/10)*x*x**(1/3))/(x/((x**(-1/2)*x)/x))**(-12/5)) assuming x is positive. x**(1243/15) Simplify (((h**6*h/h**(-4))**35)**(-8/9))**49 assuming h is positive. h**(-150920/9) Simplify ((p/p**(-2/13))/(p**(-3)*p))**(-4/21)/((p**(-1/4))**13)**32 assuming p is positive. p**(28228/273) Simplify ((v*v**(2/5)*v)**(-2/15)/(v**(-2/9)*v*v**(-1)*v))/((v/(v**(2/9)*v))/v**(4/5))**(1/22) assuming v is positive. v**(-2602/2475) Simplify (x*x/(x**13*x))**41*x**32/(x**(-31)*x*x*x) assuming x is positive. x**(-432) Simplify (((w*w**(3/4)*w*w)/w)**(-50)*(w/(w*w*(w*w/((w/(w*w**14*w*w))/w))/w*w))/(w*w/((w**(-4/5)*w*w)/w)*w))**(2/171) assuming w is positive. w**(-1603/855) Simplify (h**(-1/4)*h/((h**(2/9)/h)/h)*h)/(((h/h**(-4/7))/h)/h**(-1/8))*((h**11*h)/(h/h**(1/9)))**43 assuming h is positive. h**(242227/504) Simplify ((s/(s*s*s**(-2/9))*s)/(s**(-4/3)*s)*s**(-2/5)*(s/(s**(-3)/s*s))/s)/(s**0/s*s*s**(-5/2)*(s*s*s**(2/11))/s**6) assuming s is positive. s**(9379/990) Simplify (((((d/(((d/(d*d**(-8)))/d)/d*d))/d)/(d*d**(-3)))**(-6/5))**(-27))**(-2/41) assuming d is positive. d**(324/41) Simplify ((n**(-1/2)*n)**(-1/10)*n**(2/17)*(n**(-9)*n)/n)**(1/18) assuming n is positive. n**(-3037/6120) Simplify s**2*s*s**(1/2)*(s/((s**(-6)/s)/s*s))/s**3*s**6/s**(2/19)*(s**(3/10)/s)/s**(-3) assuming s is positive. s**(1586/95) Simplify (v*v**(-1/3)*v*v**(2/3))**(1/8)*(v**(-5)*(v**(-2/29)/v)/v)**6 assuming v is positive. v**(-29317/696) Simplify (d/(d**(-5)/d))**(-24)*d*d/(d/((d/(d**(9/7)*d))/d))*d*d*d/(d*d*d/(d*d**(25/6)*d))*d assuming d is positive. d**(-6809/42) Simplify u**(1/3)*u/(u**7/u)*u*u*(u**(-1/3))**33*((u*u**(1/5)/u*u)/u**(-13))**(-2/43) assuming u is positive. u**(-9241/645) Simplify (((v/v**3)/v*v*v**(-7))/(v**(-2)*v*v**(-2/13)))/(((v/(v/v**3))/v**4)/(v*v**(-1))**(22/3)) assuming v is positive. v**(-89/13) Simplify (s/(s/s**6)*s/s**(-2/11)*s)**47/(s**3/((s*s**(2/9))/s)*s**(-2/9)/s*s**(-1/3)) assuming s is positive. s**(37949/99) Simplify ((k**30/k*k**(-5/11)/k)/(k*k/k**(3/8)*k/(k**(-3/2)/k)))**(1/11) assuming k is positive. k**(1973/968) Simplify ((((d*((d**(-2/17)*d)/d*d)/d)/(d/((d/(((d*d**2)/d*d)/d))/d)))/(d**(2/3))**(-24))**(-12/17))**0 assuming d is positive. 1 Simplify (n/n**2)**(-3/32)/(n**(-1))**(3/2)*((n/(n**(-8/3)*n))/n**(-1))/(n/(n**(-2/3)/n*n)*n)**(-1/48) assuming n is positive. n**(1531/288) Simplify (((y/(y**35*y))/y)/(y*y*y**(-4)/y*y*y))/(y**(-8)/((y*y**(1/53))/y)) assuming y is positive. y**(-1430/53) Simplify (h*h*h**(-2/11)*h*h**(-5)*(h**(-14)/h)/h**(-11))**(1/26) assuming h is positive. h**(-34/143) Simplify ((a**(4/9)*a)/(a**0*a)*(a/(a**(-2/3)/a))**(-5/9))/(a**(1/3)*((a**1/a*a)/a)/a)**(3/2) assuming a is positive. a**(-1/27) Simplify ((v**(-7)/v*v)**(-14/13)*(((v**(-1/6)*v)/v)/v*v)/((v*v*v**(-4/23))/v))**(-1/4) assuming v is positive. v**(-11743/7176) Simplify (a/a**(-5)*a)**(-6/29)/((a**27/a)/a*a*a**(-38)) assuming a is positive. a**(306/29) Simplify (m**3/m**(-4))/(m**1)**24*(m*m*m**(-2/5)*m**(-7)*m)**(7/13) assuming m is positive. m**(-1259/65) Simplify l/l**1*(l**8*l)/l*(l**1/l)**(7/3)*(l**(-2)*(l*l**(-12))/l)**(-1/16) assuming l is positive. l**(71/8) Simplify ((n/(n*n*(n*n/(n/(n**(3/7)*n)))/n*n))**30*(n*n*n**(-27))/(n**9*n))**(-13/5) assuming n is positive. n**(2509/7) Simplify (q**(-2/5))**(36/5)*(q*q/(q*q*q**(2/3)*q))**(-13)*(((((q/((q*q*q/(q*q**(-14)/q))/q*q)*q)/q)/q)/q)/q**(-2))**(-23) assuming q is positive. q**(29009/75) Simplify (f**34*f**(4/7))/(f**8/f**(-41)) assuming f is positive. f**(-101/7) Simplify (w**(-3/5)*w**26/w*(w**(1/2)*w)/w**(11/7))**(-2/47) assuming w is positive. w**(-1703/1645) Simplify (((n/(n/(n/((n*n**8)/n)))*n*n/(n*n**(-10)/n*n)*n)/(n**(-1/5)*n)**(-35))**19)**(-1) assuming n is positive. n**(-627) Simplify ((c**(-1/7)/c)**33*c*c**(-8)*c/(c*c/(c**(4/9)*c)*c))**(-34) assuming c is positive. c**(96968/63) Simplify (((l**1*l*l*l)/l)/l*l**(3/10)*l)**(-50)*((l/((l**3/l)/l))/((l/(l*l**(-6)/l))/l))**(-41/4) assuming l is positive. l**(-207/2) Simplify ((d*d/(d*d**(-30))*d*d**(-39))**(13/5))**(-9) assuming d is positive. d**(819/5) Simplify (j**(5/4)*j*j**8)**(-2/77)*((j**(-6)*j)/(j**(-5)*j))**(-4) assuming j is positive. j**(575/154) Simplify (((f*f**1*f)/f)**(-36/5)*(f/(f**(2/5)*f))**(2/115))/(f*f**(1/2)*(f**0/f)/f)**(-2/61) assuming f is positive. f**(-505899/35075) Simplify (t**(-6)/t**(2/19))/((t/(t/(t*t**3)))/t**(-4/5))*(t*((((t/t**(-2/11))/t*t)/t)/t)/t)/t**(2/9)*(t*t**(-1))**(-1/4) assuming t is positive. t**(-112349/9405) Simplify ((p**3/p*p*p**(-2/7))/(p**1)**(-23))/(p**7*p**(1/7))**(3/20) assuming p is positive. p**(345/14) Simplify ((f*((f**(-2)*f*f)/f)/f*f*f**(-2/13))/(f*f/f**(1/4)*f*f)**(-7/4))/(f**(2/7)*f**(-3))**(-31) assuming f is positive. f**(-113181/1456) Simplify ((b/(b**(-4)*b))/(b*b**(-3)))**(-48)*((b/((b**0/b)/b))/b)/b**(-2/5)*(b**(-3/7)/b)/(b*b**3/b) assuming b is positive. b**(-10151/35) Simplify ((i**9)**(-47)/((i/i**(-13/5))/((i/i**(-1/31))/i)))**(1/3) assuming i is positive. i**(-66118/465) Simplify ((b*b**(-5/2))/(((b*b/(((b/(b/((b**(14/9)*b*b)/b)))/b)/b))/b)/b)*(b**(1/2))**(-3/14))**(1/8) assuming b is positive. b**(-265/2016) Simplify ((k/k**(-2/5))**36*k**(-5/4)*k**4*k)/((k*k**(-2)/k*k*k*k)**(-9/11)*(k**(-1/3)*k*k)/(k**(-2/13)/k)) assuming k is positive. k**(447427/8580) Simplify ((h**(1/3))**(2/55))**(-14)/((h/(h*h/(h/h**(-1/4))*h))**(4/17)*h/((h/(h**(-1)/h)*h)/h*h)*h*h*h/(h/(h**(-8)/h))) assuming h is positive. h**(28069/2805) Simplify (((g/(g/g**(-4/7))*g*g*g**(1/5)/g)/(g**6/(g**(-2/23)/g)))**11)**50 assuming g is positive. g**(-571890/161) Simplify ((n/n**(-1))/n)**(-47)/(n**(-1/2))**25*(n**(10/7)*n*n**(2/31))**39 assuming n is positive. n**(27225/434) Simplify (j**(-1/4))**(6/23)/((j/j**(-2/7))/j)**7*(j**(-3/5)*j**(-1/3))/(j**(-1))**47 assuming j is positive. j**(30361/690) Simplify (g**(-2/3)/g)**13*g**(2/7)*g*g**(-1)*g**0/g*g**3*(g**(-1/2))**26 assuming g is positive. g**(-680/21) Simplify (((h**(-1)/h)**(1/6)/(h**3/((h*h/(h/h**(-5)))/h*h*h*h)))**49)**(-2/147) assuming h is positive. h**(32/9) Simplify (o*o**(-1)/o)**(-1/17)/(o/(o*o/(o*o**(-2/3)*o*o*o*o*o*o)))**(-25)*(o**(-1)/o)**(1/4)/(o**(-1/2))**30 assuming o is positive. o**(15085/102) Simplify ((p**39*p**(3/32)*p)/((p**36*p)/p*p**(-24/13)))**32 assuming p is positive. p**(2471/13) Simplify ((c*c/((c/(c**(-1)*c))/c)*c)**(1/4))**(-5)/(c**5/(c*c**2)*c**(-2/9)*c**(-1/2)) ass
{ "pile_set_name": "DM Mathematics" }
251 minutes after 8:48 AM? 12:59 PM How many minutes are there between 7:06 PM and 8:13 PM? 67 What is 677 minutes after 2:59 AM? 2:16 PM How many minutes are there between 3:25 AM and 8:11 AM? 286 How many minutes are there between 5:56 PM and 1:06 AM? 430 How many minutes are there between 10:03 AM and 8:58 PM? 655 What is 283 minutes after 6:18 AM? 11:01 AM What is 274 minutes before 6:17 AM? 1:43 AM What is 485 minutes after 4:14 PM? 12:19 AM What is 605 minutes before 8:54 PM? 10:49 AM What is 589 minutes before 4:49 PM? 7:00 AM What is 69 minutes before 7:38 PM? 6:29 PM How many minutes are there between 3:49 AM and 6:11 AM? 142 What is 404 minutes before 12:27 PM? 5:43 AM How many minutes are there between 6:46 AM and 12:07 PM? 321 How many minutes are there between 3:17 PM and 6:09 PM? 172 How many minutes are there between 6:43 AM and 8:59 AM? 136 What is 121 minutes before 9:33 AM? 7:32 AM What is 680 minutes before 6:42 AM? 7:22 PM What is 535 minutes after 4:49 PM? 1:44 AM How many minutes are there between 5:25 AM and 12:04 PM? 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104 How many minutes are there between 4:34 AM and 1:41 PM? 547 How many minutes are there between 4:32 AM and 4:27 PM? 715 What is 710 minutes before 8:27 AM? 8:37 PM How many minutes are there between 8:42 AM and 8:29 PM? 707 How many minutes are there between 7:18 AM and 9:56 AM? 158 How many minutes are there between 4:41 PM and 2:59 AM? 618 How many minutes are there between 2:28 AM and 9:53 AM? 445 What is 345 minutes after 10:12 PM? 3:57 AM How many minutes are there between 9:13 PM and 6:41 AM? 568 What is 546 minutes after 8:08 PM? 5:14 AM What is 250 minutes before 6:02 PM? 1:52 PM How many minutes are there between 11:17 AM and 2:31 PM? 194 How many minutes are there between 5:30 AM and 9:42 AM? 252 What is 98 minutes after 4:28 AM? 6:06 AM What is 400 minutes before 4:21 PM? 9:41 AM What is 583 minutes before 2:56 AM? 5:13 PM What is 501 minutes after 5:38 PM? 1:59 AM How many minutes are there between 8:11 PM and 11:25 PM? 194 How many minutes are there between 4:57 AM and 7:58 AM? 181 What is 149 minutes before 7:50 AM? 5:21 AM What is 303 minutes after 7:20 AM? 12:23 PM What is 342 minutes after 12:52 AM? 6:34 AM How many minutes are there between 5:35 PM and 3:16 AM? 581 What is 366 minutes before 12:44 AM? 6:38 PM How many minutes are there between 7:08 AM and 1:33 PM? 385 How many minutes are there between 12:10 AM and 2:42 AM? 152 How many minutes are there between 3:40 PM and 9:33 PM? 353 What is 332 minutes after 9:03 AM? 2:35 PM What is 135 minutes before 8:26 AM? 6:11 AM How many minutes are there between 1:51 AM and 7:08 AM? 317 How many minutes are there between 2:12 PM and 5:07 PM? 175 What is 237 minutes before 6:31 AM? 2:34 AM How many minutes are there between 5:30 AM and 2:50 PM? 560 How many minutes are there between 9:56 PM and 10:47 PM? 51 What is 9 minutes after 3:07 PM? 3:16 PM How many minutes are there between 3:10 PM and 2:50 AM? 700 How many minutes are there between 7:17 AM and 4:55 PM? 578 What is 107 minutes after 5:33 PM? 7:20 PM What is 71 minutes before 11:14 PM? 10:03 PM How many minutes are there between 4:51 PM and 4:50 AM? 719 What is 42 minutes before 5:15 AM? 4:33 AM What is 667 minutes before 3:30 PM? 4:23 AM What is 432 minutes after 12:52 AM? 8:04 AM How many minutes are there between 10:12 PM and 3:54 AM? 342 How many minutes are there between 2:15 PM and 5:11 PM? 176 What is 313 minutes before 9:27 AM? 4:14 AM How many minutes are there between 1:56 AM and 10:24 AM? 508 How many minutes are there between 1:13 PM and 11:02 PM? 589 How many minutes are there between 12:35 AM and 6:30 AM? 355 What is 553 minutes before 12:43 PM? 3:30 AM What is 617 minutes before 11:36 AM? 1:19 AM How many minutes are there between 4:01 PM and 6:35 PM? 154 What is 667 minutes before 5:59 PM? 6:52 AM What is 209 minutes before 3:54 AM? 12:25 AM What is 291 minutes after 12:47 AM? 5:38 AM How many minutes are there between 7:51 AM and 10:41 AM? 170 What is 355 minutes before 6:50 PM? 12:55 PM What is 321 minutes before 10:18 AM? 4:57 AM What is 532 minutes before 12:38 AM? 3:46 PM What is 237 minutes before 1:44 AM? 9:47 PM How many minutes are there between 5:35 AM and 1:35 PM? 480 What is 270 minutes after 4:38 PM? 9:08 PM How many minutes are there between 3:32 PM and 2:33 AM? 661 How many minutes are there between 8:01 AM and 2:07 PM? 366 What is 448 minutes after 4:57 AM? 12:25 PM How many minutes are there between 6:12 PM and 5:33 AM? 681 How many minutes are there between 5:15 AM and 4:46 PM? 691 How many minutes are there between 10:34 AM and 12:37 PM? 123 What is 126 minutes before 5:45 PM? 3:39 PM What is 251 minutes before 5:12 PM? 1:01 PM How many minutes are there between 11:54 PM and 11:44 AM? 710 How many minutes are there between 2:07 AM and 8:01 AM? 354 How many minutes are there between 5:15 AM and 12:43 PM? 448 How many minutes are there between 1:23 AM and 3:05 AM? 102 How many minutes are there between 12:31 PM and 3:22 PM? 171 What is 279 minutes after 9:52 AM? 2:31 PM What is 82 minutes after 2:35 PM? 3:57 PM How many minutes are there between 5:49 AM and 11:17 AM? 328 What is 277 minutes before 6:44 PM? 2:07 PM What is 9 minutes after 7:55 AM? 8:04 AM How many minutes are there between 11:08 AM and 5:56 PM? 408 How many minutes are there between 8:23 AM and 12:23 PM? 240 How many minutes are there between 2:05 AM and 2:44 AM? 39 How many minutes are there between 8:10 AM and 10:34 AM? 144 How many minutes are there between 12:15 AM and 8:43 AM? 508 What is 482 minutes after 2:40 PM? 10:42 PM What is 283 minutes after 12:47 PM? 5:30 PM What is 543 minutes before 12:09 PM? 3:06 AM What is 27 minutes after 11:36 PM? 12:03 AM How many minutes are there between 9:10 AM and 10:47 AM? 97 How many minutes are there between 9:47 PM and 9:49 PM? 2 How many minutes are there between 11:23 AM and 10:33 PM? 670 How many minutes are there between 4:16 PM and 2:47 AM? 631 What is 82 minutes after 11:40 AM? 1:02 PM What is 243 minutes before 3:42 PM? 11:39 AM How many minutes are there between 2:23 AM and 3:04 AM? 41 What is 587 minut
{ "pile_set_name": "DM Mathematics" }
hen 7140323 is divided by 1189878? 1055 Calculate the remainder when 17497 is divided by 16681. 816 Calculate the remainder when 14667447 is divided by 50. 47 What is the remainder when 664387 is divided by 80? 67 What is the remainder when 965755 is divided by 818? 515 What is the remainder when 99862 is divided by 710? 462 Calculate the remainder when 101614 is divided by 10118. 434 What is the remainder when 28087814 is divided by 432120? 14 What is the remainder when 21062599 is divided by 11? 8 What is the remainder when 443117 is divided by 54987? 3221 What is the remainder when 3999699 is divided by 36? 27 What is the remainder when 599386686 is divided by 3178? 3174 Calculate the remainder when 89286 is divided by 431. 69 What is the remainder when 91761 is divided by 958? 751 What is the remainder when 229801 is divided by 491? 13 Calculate the remainder when 113044224 is divided by 37681406. 6 Calculate the remainder when 22960256 is divided by 7653398. 62 What is the remainder when 1695110 is divided by 9? 5 What is the remainder when 570400 is divided by 47? 8 Calculate the remainder when 13003883 is divided by 37912. 67 What is the remainder when 41345902 is divided by 221101? 15 Calculate the remainder when 407419 is divided by 4477. 12 What is the remainder when 51544824 is divided by 4295402? 0 Calculate the remainder when 20912754 is divided by 5408. 18 Calculate the remainder when 27958377 is divided by 6724. 6709 Calculate the remainder when 132087 is divided by 42. 39 What is the remainder when 45222 is divided by 76? 2 What is the remainder when 18492 is divided by 14117? 4375 Calculate the remainder when 30561 is divided by 6105. 36 What is the remainder when 1936352 is divided by 290? 22 What is the remainder when 2286912 is divided by 58? 30 Calculate the remainder when 19110597 is divided by 200. 197 What is the remainder when 105785134 is divided by 846281? 9 What is the remainder when 285167 is divided by 3051? 1424 What is the remainder when 125846 is divided by 25169? 1 Calculate the remainder when 4122684 is divided by 33. 27 Calculate the remainder when 29485087 is divided by 16. 15 What is the remainder when 2991106 is divided by 4143? 4003 What is the remainder when 451610 is divided by 369? 323 What is the remainder when 9030971 is divided by 81? 38 Calculate the remainder when 956372831 is divided by 1531. 1530 What is the remainder when 433740 is divided by 155? 50 What is the remainder when 6249714 is divided by 729? 726 What is the remainder when 330415433 is divided by 1938? 1937 What is the remainder when 11242 is divided by 1358? 378 What is the remainder when 48222 is divided by 287? 6 Calculate the remainder when 122805431 is divided by 235711. 0 Calculate the remainder when 3957148 is divided by 11. 8 Calculate the remainder when 2062483 is divided by 4765. 4003 What is the remainder when 23987637 is divided by 289? 59 Calculate the remainder when 6849697 is divided by 10073. 57 What is the remainder when 42000 is divided by 940? 640 What is the remainder when 443301 is divided by 147643? 372 What is the remainder when 3921549 is divided by 214? 213 Calculate the remainder when 14836 is divided by 291. 286 What is the remainder when 11978734 is divided by 28? 26 Calculate the remainder when 12058330 is divided by 143. 141 What is the remainder when 392288 is divided by 291? 20 Calculate the remainder when 20068427 is divided by 3846. 3845 What is the remainder when 158812 is divided by 373? 287 Calculate the remainder when 570956 is divided by 2099. 28 What is the remainder when 897764 is divided by 59850? 14 Calculate the remainder when 29510781 is divided by 181. 179 Calculate the remainder when 1268180 is divided by 90561. 326 What is the remainder when 398219147 is divided by 6? 5 What is the remainder when 58538822 is divided by 14790? 2 Calculate the remainder when 157850015 is divided by 2976. 2975 Calculate the remainder when 1592993 is divided by 86. 15 Calculate the remainder when 44980 is divided by 3466. 3388 Calculate the remainder when 322809 is divided by 273. 123 What is the remainder when 1352861 is divided by 29? 11 What is the remainder when 64944087 is divided by 7216007? 24 Calculate the remainder when 2431137 is divided by 142975. 562 Calculate the remainder when 6100930 is divided by 508396. 178 What is the remainder when 432635 is divided by 432624? 11 Calculate the remainder when 2206865 is divided by 165. 155 Calculate the remainder when 70720911 is divided by 23. 5 What is the remainder when 3813260 is divided by 216? 212 Calculate the remainder when 5418222 is divided by 22. 18 Calculate the remainder when 9190399 is divided by 3063461. 16 What is the remainder when 331678 is divided by 33113? 548 Calculate the remainder when 4237491 is divided by 249. 9 What is the remainder when 30318475 is divided by 1329? 1327 Calculate the remainder when 1222620 is divided by 2918. 2896 What is the remainder when 2334823 is divided by 1227? 1069 Calculate the remainder when 5346220 is divided by 1542. 106 Calculate the remainder when 139875497 is divided by 1206. 1205 What is the remainder when 2418463 is divided by 345494? 5 Calculate the remainder when 4255517 is divided by 1418486. 59 Calculate the remainder when 560235 is divided by 627. 324 What is the remainder when 51206 is divided by 1553? 1510 What is the remainder when 349072 is divided by 30? 22 What is the remainder when 59033 is divided by 14637? 485 Calculate the remainder when 3428133 is divided by 472. 469 What is the remainder when 95627 is divided by 47479? 669 Calculate the remainder when 160012 is divided by 109. 0 What is the remainder when 44262989 is divided by 331? 14 Calculate the remainder when 16560150 is divided by 16560027. 123 What is the remainder when 238935 is divided by 79630? 45 Calculate the remainder when 66626 is divided by 3838. 1380 Calculate the remainder when 139667 is divided by 18. 5 Calculate the remainder when 23495 is divided by 1020. 35 Calculate the remainder when 198783037 is divided by 14213. 19 What is the remainder when 315587360 is divided by 19724210? 0 Calculate the remainder when 819696 is divided by 43130. 226 What is the remainder when 20298 is divided by 349? 56 What is the remainder when 475568 is divided by 1204? 1192 What is the remainder when 4400857 is divided by 280? 97 What is the remainder when 275044 is divided by 1394? 426 Calculate the remainder when 800099 is divided by 212. 11 What is the remainder when 423368 is divided by 141060? 188 What is the remainder when 22573 is divided by 414? 217 Calculate the remainder when 1933194 is divided by 12. 6 Calculate the remainder when 150249 is divided by 49142. 2823 Calculate the remainder when 10375963 is divided by 1729326. 7 Calculate the remainder when 71014054 is divided by 192450. 4 Calculate the remainder when 27205131 is divided by 167. 163 Calculate the remainder when 13619476 is divided by 28. 24 Calculate the remainder when 108302 is divided by 8046. 3704 Calculate the remainder when 73090 is divided by 662. 270 What is the remainder when 23949 is divided by 2097? 882 Calculate the remainder when 25841242 is divided by 54. 28 Calculate the remainder when 2506 is divided by 31. 26 Calculate the remainder when 6949 is divided by 2297. 58 What is the remainder when 108909 is divided by 3550? 2409 What is the remainder when 1239733 is divided by 36? 1 Calculate the remainder when 27319 is divided by 4454. 595 Calculate the remainder when 38086 is divided by 6855. 3811 Calculate the remainder when 3135817 is divided by 3927. 2071 Calculate the remainder when 223060949 is divided by 665. 664 Calculate the remainder when 24386109 is divided by 100. 9 Calculate the remainder when 241382 is divided by 32. 6 Calculate the remainder when 47106 is divided by 2766. 84 Calculate the remainder when 127043739 is divided by 42347904. 27 What is the remainder when 338616052 is divided by 11358? 11356 Calculate the remainder when 7747 is divided by 3007. 1733 Calculate the remainder when 2013383 is divided by 402664. 63 Calculate the remainder when 79781 is divided by 39. 26 Calculate the remainder when 2726935 is divided by
{ "pile_set_name": "DM Mathematics" }
. -q*(q - 1)*(q + 1) Let v be 1 + ((-140)/15)/(-14). Factor 2/3 + v*a - 5/3*a**3 + 7/3*a**4 - 3*a**2. (a - 1)**2*(a + 1)*(7*a + 2)/3 Let t = 1/1540 + 2309/1540. Factor 0 + 3*d**3 + t*d**4 + 0*d**2 + 0*d. 3*d**3*(d + 2)/2 Factor 2*j**2 + 3 - 1 + 5*j**3 - 2 - 3*j**4 - 10*j**3. -j**2*(j + 2)*(3*j - 1) Factor -5/4*w - 1/4*w**3 - 1/2 - w**2. -(w + 1)**2*(w + 2)/4 Suppose -14*i - 34 = 22. Let h be i + 0 + 1/((-6)/(-42)). Factor -3/5*o**4 + 3/5*o - 9/5*o**2 + 0 + 9/5*o**h. -3*o*(o - 1)**3/5 Let t be (2*-48)/4*1/(-2). Suppose 11*r = 14*r - t. Factor 8/3*v**2 + 0*v - 4/3*v**3 - r*v**4 + 0. -4*v**2*(v + 1)*(3*v - 2)/3 Let y = -1329 - -1329. Let c(b) be the third derivative of -b**2 - 1/300*b**5 - 8/15*b**3 - 1/15*b**4 + 0*b + y. Determine n, given that c(n) = 0. -4 Let s(a) be the first derivative of a**6/10 + 4*a**5/25 - a**4/20 - 2*a**3/15 + 105. Let s(r) = 0. Calculate r. -1, 0, 2/3 Let l be (-19 - -11)*8/(-192)*6. Find n, given that 0 - 5/3*n**3 - 5/3*n + 10/3*n**l = 0. 0, 1 Find r such that 10*r**4 + 5/4*r**3 + 0 - 25/2*r**2 - 15/4*r**5 + 0*r = 0. -1, 0, 5/3, 2 Let p = -7545403/11 + 685312. Let b = 635 + p. Solve 4/11*l**3 + 14/11*l + b*l**2 + 4/11 = 0. -2, -1, -1/2 Let v(p) be the third derivative of -p**6/360 - p**5/60 + 4*p**3/3 + 7*p**2. Let r(w) be the first derivative of v(w). Factor r(s). -s*(s + 2) Let w = 32852 - 32852. Factor w*i + 0 - 1/4*i**3 - 1/4*i**2. -i**2*(i + 1)/4 Let q(j) = -j**3 + 4*j**2 + 268*j - 1533. Let k be q(6). Find c such that -9/8*c**2 + 3/8*c**k + 0*c + 3/2 = 0. -1, 2 Let t(v) be the third derivative of 0*v**3 + 7*v**2 - 1/210*v**5 + 0*v + 0 - 1/84*v**4. What is f in t(f) = 0? -1, 0 Let z = 8435 + -8433. What is x in -3/8*x - 1/8*x**4 + 3/8*x**3 + 1/8*x**z + 0 = 0? -1, 0, 1, 3 Let j be (25 + -15 + -11)*0/(-2). Find u such that 2/3*u**3 + 10/9*u**4 - 2*u**2 + 0*u + j + 2/9*u**5 = 0. -3, 0, 1 Let w(m) = -3*m + 24. Let b be w(8). Let y be 7/(-3) + 2 - 46/(-30). Solve 0 - 2*j**4 + b*j - y*j**3 + 4/5*j**2 = 0 for j. -1, 0, 2/5 Let d(r) = -2*r**4 - r**3 - r**2 + 2*r + 1. Let z(h) = -h**4 + 39*h**3 - 42*h**2 + 2*h + 1. Let u(s) = -4*d(s) + 4*z(s). Find n, given that u(n) = 0. -41, 0, 1 Suppose -5*c + 2*c + 5 = 2*k, -2*k = 4. Suppose 0*o - 3*o = -r - c, -4*r - 3 = -3*o. Factor 0*f + 0*f**2 - 1/2*f**3 + 1/4*f**4 + r. f**3*(f - 2)/4 Let w be 4/21*(-4 + (-27006)/(-964)). Let x = -2/723 + w. Let x - 2/7*i**3 - 48/7*i + 18/7*i**2 = 0. What is i? 1, 4 Let j(l) = 18*l - 56. Let h be j(3). Let i be (-8 + 7)/(7/h). Factor -8/7*x**4 - 8/7*x**2 + 2/7*x**5 + 0 + i*x + 12/7*x**3. 2*x*(x - 1)**4/7 Suppose 54*s - 20 = 49*s. Factor 2*c**4 + 12*c**2 + 3*c**5 - 6*c**4 - 5*c**s. 3*c**2*(c - 2)**2*(c + 1) Let l(m) = m**2 - 5*m + 3. Let v be l(3). Let o(y) = y. Let i(x) = -3*x**2 + 27*x + 33. Let h(u) = v*o(u) - i(u). Solve h(w) = 0. -1, 11 Let g(l) be the first derivative of -3*l**5/100 + l**4/20 + l**3/10 - 3*l**2/10 + 50*l - 40. Let x(s) be the first derivative of g(s). Factor x(z). -3*(z - 1)**2*(z + 1)/5 Let m be -98 - -105 - (-33)/(-5). Solve 2/5 + m*b**2 - 4/5*b = 0 for b. 1 Let b(g) be the third derivative of g**7/525 + 7*g**6/100 + 37*g**5/150 - 7*g**4/20 - 38*g**3/15 - 7*g**2. Determine l so that b(l) = 0. -19, -2, -1, 1 Suppose 2*h + 8 = 20. Let r be h/(-9)*60/(-8). Find c, given that 8 - 4*c + 3*c**4 - 40*c**3 + 6*c**5 + 6*c**r - 48*c**2 + 5*c**4 = 0. -1, 1/3, 2 Let j(b) be the third derivative of b**9/12096 + 5*b**8/8064 - b**7/672 + 13*b**5/60 - 4*b**2. Let v(h) be the third derivative of j(h). Factor v(s). 5*s*(s + 3)*(2*s - 1)/2 Let k(v) be the third derivative of 10*v**2 + 0*v + 4/3*v**3 + 0 - 1/2*v**4 + 0*v**5 + 1/30*v**6. Determine s, given that k(s) = 0. -2, 1 Let u(k) be the first derivative of k**6/6 - 4*k**5/5 - 6*k**4 + 46*k**3/3 + 215*k**2/2 + 150*k - 452. Suppose u(q) = 0. What is q? -3, -2, -1, 5 Let 196/5 - 546/5*o + 536/5*o**2 + 36/5*o**4 - 44*o**3 - 2/5*o**5 = 0. Calculate o. 1, 2, 7 Suppose -2*o + 22 = -32. Let s = -21 + o. Factor 5 - 5 - 14*z**2 - 3 + 11*z**2 - s*z. -3*(z + 1)**2 Determine i so that -66/5*i + 36/5*i**2 - 2/5*i**3 + 32/5 = 0. 1, 16 Let i(a) be the third derivative of a**5/20 + 23*a**4/8 + 83*a**2. Let i(r) = 0. Calculate r. -23, 0 Let q(y) be the first derivative of y**4/6 + 52*y**3/3 + 676*y**2 + 35152*y/3 - 10. Factor q(l). 2*(l + 26)**3/3 Let 3648/5*i - 312/5*i**3 - 1432/5*i**2 + 1152/5 - 14/5*i**4 = 0. What is i? -12, -2/7, 2 Let l(y) = y**2 + y - 1. Suppose -r - 7 = 4*u, 2*r = -4*u + 6*r - 32. Let g(q) = -5*q**2 + q. Let c(t) = u*g(t) - 12*l(t). Let c(i) = 0. Calculate i. 1, 4 Let u(r) be the first derivative of -r**7/280 + r**6/16 - 33*r**5/80 + 5*r**4/4 - 2*r**3 - 14*r**2 - 20. Let h(b) be the second derivative of u(b). Factor h(n). -3*(n - 4)**2*(n - 1)**2/4 Let t(i) be the first derivative of -i**6/6 - 3*i**5/5 + 5*i**4/4 + i**3 - 2*i**2 + 19. Factor t(c). -c*(c - 1)**2*(c + 1)*(c + 4) Solve -9/2*k**3 - 22/3 + 9/2*k**5 - 99/2*k**4 + 293/6*k**2 + 8*k = 0. -2/3, 1/3, 1, 11 Let r(p) be the third derivative of -p**5/15 + 6*p**3 + 3*p**2 - 17. Factor r(m). -4*(m - 3)*(m + 3) Let s = -84/289 - -2080/3179. Factor -s*r + 2/11*r**2 - 6/11. 2*(r - 3)*(r + 1)/11 Let u(z) = -z**3 - 15*z**2 - 15*z - 11. Let o be u(-14). Suppose 2*l - 3*l + 2*y = -o, 3*l = -3*y + 9. Determine t so that 2*t**l - 3*t**3 - 4*t**3 = 0. 0 Let b(j) = -28*j**2 - 87*j - 9. Let f be b(-3). Let v(t) be the third derivative of f*t - 1/60*t**4 + 1/600*t**5 + 1/15*t**3 + 7*t**2 + 0. Factor v(x). (x - 2)**2/10 Let r(q) be the first derivative of 0*q**3 + 1/36*q**4 + 6*q + 3 - 1/60*q**5 + 0*q**2. Let d(z) be the first derivative of r(z). Factor d(f). -f**2*(f - 1)/3 Let z(i) be the third derivative of -1/30*i**5 + 0*i - 1/6*i**4 - 36*i**2 + 0 - 1/3*i**3. Suppose z(d) = 0. Calculate d. -1 Factor d**4 - 1119364 - 368*d**3 - 12696*d**2 - 194672*d + 12*d**4 + 5*d**4 - 22*d**4. -4*(d + 23)**4 Let k(r) = 4*r**2 + 11*r + 26. Let n be k(-4). Suppose -43 + n = h. Factor 5/6*q**h + 0 - 1/3*q + 2/3*q**4 - 7/6*q**2. q*(q - 1)*(q + 2)*(4*q + 1)/6 Let o(s) be the third derivative of -7*s**9/8640 + s**8/720 - s**7/1260 - s**5/12 - 2*s**2. Let d(k) be the third derivative of o(k). Factor d(h). -h*(7*h - 2)**2 Factor -12*g**3 + 11*g**3 - 1 - 7 - 2*g + 5*g**2. -(g - 4)*(g - 2)*(g + 1) Let a(w) be the third derivative of -w**5/120 + 113*w**4/24 - 12769*w**3/12 - 14*w**2 - w. Factor a(y). -(y - 113)**2/2 Let r(l) be the third derivative of l**7/8 - 89*l**6/240 + 37*l**5/240 + 5*l**4/12 - l**3/6 - 2*l**2 + 84*l. Suppose r(w) = 0. What is w? -2/5, 2/21, 1 Let b(x) = -7*x**2 + 13*x - 101. Let z(j) = -2*j**2 + 6*j - 50. Let c(f) = 2*b(f) - 5*z(f). Find a, given that c(a) = 0. -4, 3 Let s(d) = -8*d**2 + 3*d - 9. Let j(i) = 105*i**2 - 40*i + 120. Let m(c) = -3*j(c) - 40*s(c). Factor m(g). 5*g**2 Let f = 11/45 - -91/180. Solve -f*i**2 - 1/4*i**4 + 0 + 1/4*i + 3/4*i**3 = 0 for i. 0, 1 Let p = -33 + 36. Determine u so that 136*u**2 + 5*u**4 + p*u**3 - 2*u**5 - 13*u**3 + 3*u**4 - 132*u**2 = 0. 0, 1, 2 Let s(g) = -g**4 - 17*g**3 + 13*g**2 + 43*g + 29. Let y(u) = 9*u**3 - 6*u**2 - 21*u - 15. Let w(k) = -3*s(k) - 5*y(k). Suppose w(m) = 0. Calculate m. -2, -1, 2 Suppose -19*j + 23 = 3*r - 21*j, -3*r = 2*j - 7. Let a(l) be the second derivative of 0 + r*l - 2/15*l**3 - 1/30*l**4 - 1/5*l**2. Factor a(u). -2*(u + 1)**2/5 Factor -2653*k**2 + 0*k + 2641*k**2 + 8*k. -4*k*(3*k - 2) Let g(s) be the third derivative of s**5/36 - 5*s**4/36 - 5*s**3/6 - 84*s**2. What is q in g(q) = 0? -1, 3 Let h(l) = -7*l**2 + 10*l + 3. Let u(d) = -6*d**2 + 9*d + 2. Let w(j) = 5*h(j) - 6*u(j). Let b be w(3). Suppose 6/7*x**2 + 0 - 3*x**3 + b*x = 0. What is x? 0, 2/7 Let i be (-3 + 2)*2 + 3 + 1. Let a(d) be the second derivative of d - 1/4*d**4 + 0 + 3*d**3 - 15/2*d**i. Determine t, given that a(t) = 0. 1, 5 Let y = -1392/55 + 285/11. What is o in 0 - 3/5*o**4 - 3/5*o**3 + 0*o + y*o**5 + 3/5*o**2 = 0? -1, 0, 1 Let o(a) be the first derivative of -a**3/3 + 10*a**2 - 12*a - 26. Let h(p) = 2*p. Let x(q) = 30*h(q) - 5*o(q). Suppose x(y) = 0. What is y? 2, 6 Let d be (-9)/(-459)*12/1. Suppose 0 = c - 4*w - 10, -4*c - 3*w + w + 4 = 0. Determine y so that 0*y**c - 2/17*y**4 + d*y**5 + 0 + 0*y + 0*y**3 = 0. 0, 1/2 Let a(g) = g**2 + g - 2. Let m(o) = 12*o**2 - 39*o - 273. Let s(h) = 15*a(h) - m(h). Wh
{ "pile_set_name": "DM Mathematics" }
x? i Let t = 4 + -2. Let h be (3 - 2)*0*1. Suppose h = 3*u - 6*u - 15. Which is the biggest value? (a) t (b) 0 (c) u a Let r = -0.6 - -0.57. Let j = -5.03 - r. Let z be 1 + 44/20 - 3. Which is the biggest value? (a) z (b) 1 (c) j b Let d(k) = -k**3 + 14*k**2 - k + 18. Let j be d(14). Let l = -4 + j. What is the smallest value in 5, l, 2/3? l Let y = 4.2 + -4. Let o = -4 - -8. Let k = 3 - o. Which is the third biggest value? (a) 1 (b) k (c) y b Let g(v) = v**3 + 2*v**2 + 1. Let q be g(-2). Let u be 2 - (q + 10/12). Let t be (-1)/2 - 11/(-2). Which is the second biggest value? (a) u (b) t (c) -0.4 a Let t = -0.5 - 1.5. Let y = t - -1. Which is the biggest value? (a) 5 (b) 0 (c) y a Let k = 0.03 - -6.97. Let m = k + -8.9. Let d = m - -2. What is the smallest value in d, 4, 0.4? d Let y = -0.34 + 3.34. Which is the third biggest value? (a) 2/7 (b) y (c) 0.2 c Let j = -11/6 - -25/12. What is the third biggest value in 5, -5/4, j? -5/4 Let l = -0.7 + 0.4. Let s be (-12)/20 - (-4)/10. Which is the smallest value? (a) l (b) s (c) 4 a Let s = -39 - -38. What is the third smallest value in -0.5, 2, s? 2 Let o be (-1)/(-1)*0/(-13). What is the biggest value in o, 0.03, -3? 0.03 Let d be 1*49/(-21) - 4/(-2). What is the fourth smallest value in -2/3, -3, d, -1? d Suppose 0 = -5*j - 8 - 2. Which is the third biggest value? (a) 2 (b) -0.4 (c) j c Let w be -1*(12/10 + -1). Let f be (1 + -2)/((-16)/(-6)). What is the second biggest value in f, w, 2/3? w Let x = -47 - -52. What is the smallest value in -0.1, 2/11, x, 0? -0.1 Let f be (2/(-3))/(1/(-6)). Let d(y) = -y**2 - 12*y + 5. Let r be d(-12). Which is the biggest value? (a) r (b) -0.5 (c) f a Let d = -0.6 - 1.4. Let a be (-4)/(2 - -2) + -2. What is the smallest value in 0.5, d, a? a Let i = -20.8 + 21. Which is the smallest value? (a) 5 (b) 4 (c) i c Let s be (-3)/(-2)*4/3. Suppose i - s*i = -3. Which is the smallest value? (a) 2 (b) i (c) 2/3 c Let t be (-12)/42*1 + 51/7. What is the fourth biggest value in -2/7, 4, t, 0.5? -2/7 Suppose -11 = 2*t - 5*t - 2*h, -5*h = 2*t. What is the biggest value in 3/4, t, -1? t Let u = 0.11 + 1.49. Let p = u - 1.2. Let f be (10 - 0)*(-2)/(-8). Which is the biggest value? (a) p (b) f (c) -4 b Let i = -76/3 - -535/21. Let h = -0.14 - 3.86. Which is the second smallest value? (a) 0 (b) i (c) h a Suppose -3*u - 8 = -7*u. Let g = 10 + -5. Let s = g + -10. Which is the third smallest value? (a) u (b) 1 (c) s a Let n = -0.09 - 0.19. Let m = 13.02 - 13. Let t = n - m. Which is the second smallest value? (a) -3 (b) t (c) -0.1 b Let c = -8.6 - -9. What is the second smallest value in -21, 0, c? 0 Let r(u) = u**3 + 4*u**2 + u - 2. Let z be r(-3). Suppose 3*s + s = -z*n - 8, -n - 3*s - 4 = 0. Which is the third smallest value? (a) -2/17 (b) n (c) -3/2 a Let v = 112 + -112.3. What is the second biggest value in -3, v, 0? v Let i = 2/65 + 191/130. Let t = 25/4 + -6. Which is the third biggest value? (a) i (b) t (c) 3/4 b Let f = 1 - 0.4. Let v = f + -4.6. Let u = -1 + 1.2. Which is the third biggest value? (a) v (b) 2/11 (c) u a Let a = -0.4 + 1.4. Let q = 0.5 - a. Let y = -7 - -12. What is the third biggest value in q, -3/4, y? -3/4 Let p = -0.6 - -0.4. Suppose 4*i - 36 = 4*l, 19 = 3*i + 3*l - 4*l. Which is the biggest value? (a) i (b) p (c) -0.4 a Let y be 120/(-16)*(24/9 - 2). Let s = -0.05 - -0.1. Let w = s + 0.35. Which is the third biggest value? (a) 4 (b) w (c) y c Suppose 2*y - p = 8, -4 = -2*y + 2*p + 2. Suppose 1 = -3*j - 5. Which is the second biggest value? (a) j (b) y (c) 3 c Let v = 91 + -821/9. Let f(a) = -2*a**2. Let t = 3 - 4. Let c be f(t). What is the smallest value in c, 4, v? c Let s = 0.2 + 1.1. Let v = -0.7 - s. What is the smallest value in -0.4, v, -4/5? v Let g = -3.93 - 1.17. Let y = g - -5. What is the biggest value in 4, y, 2? 4 Let d = -14 - -5. Let g = d - -9.06. Let v = g + -3.06. Which is the third biggest value? (a) v (b) 3 (c) 1 a Let s(l) = l**3 - 4*l**2 - 2*l + 3. Suppose -5*y - 1 = -66. Let t(p) = -p + 17. Let i be t(y). Let a be s(i). What is the second biggest value in a, 0.5, 1/3? 1/3 Let b = -0.51 + -0.09. Let w = b + 0.2. What is the third biggest value in 0.4, w, 4? w Let s = -3.987 + -0.013. What is the smallest value in -0.03, s, 3? s Let x be 4/1 - 52/16. What is the second smallest value in x, -1, 6? x Let i be ((-4)/(-16))/((-6)/16). Let o = 0.11 - 0.11. Let f = o - -0.1. What is the second biggest value in -3, i, f? i Let l = -53/6 - -9. Let y = -1727/2 + 887. Let z = y - 323/14. What is the second smallest value in l, -3, z? l Suppose -1 = -2*a + 3. Let z = -2.9 + -0.1. What is the third smallest value in -1/3, z, a? a Let f = -0.928 + -0.072. What is the fourth biggest value in -4, -2/5, 3/4, f? -4 Let h = -1 - -9. Let y be 2 - -1 - 22/h. Which is the third smallest value? (a) 1 (b) y (c) -2/3 a Let j = -4.3 + 4. Let m = 0.2 - j. What is the smallest value in -0.5, m, 0? -0.5 Let s = -6 - -6. Let k = 1.1 - 0.1. Which is the biggest value? (a) k (b) 2/3 (c) s a Let t = -13.5 - -13. Which is the biggest value? (a) 3/14 (b) t (c) -3 a Let h be 2 + (735/27 - -1). Let w = h + -30. Which is the second biggest value? (a) -4 (b) -1/6 (c) w b Let s = 33.1 + -33. Which is the second biggest value? (a) -0.2 (b) 3 (c) s c Let u = -0.15 - 0.05. Let x = -10 - -9. Which is the second smallest value? (a) 4 (b) x (c) u c Let u = -4 + 10. Let r be (u/(-32))/(3/2). What is the third smallest value in 1, 4, r? 4 Let j = 0.16 - -0.54. Let o = 2.7 - j. Which is the third smallest value? (a) -0.4 (b) o (c) 0.3 b Let i = 4.4 - 0.4. Let r = i - 4.1. What is the smallest value in 5, 2/11, r? r Let z = 5.08 + -5. Let n = 0.38 - z. Let q = -54 - -158/3. Which is the second biggest value? (a) 1 (b) q (c) n c Let z = -10/23 - -27/115. Which is the second smallest value? (a) z (b) 2 (c) -2/7 a Let n = -1/25 + 37/300. Which is the second smallest value? (a) 0.5 (b) -2/11 (c) n c Suppose 8*m = 26*m + 144. What is the smallest value in 3, -2/5, m? m Let f be 6/(-40)*-4*-1. Which is the second smallest value? (a) -3 (b) 1/3 (c) 2 (d) f d Let n = -11/708 + -4/59. Which is the second smallest value? (a) 0.5 (b) 0.3 (c) n b Suppose 0 = -4*u - 1072 + 16. Let d be 2/(20/(-2638)) + -1. Let v = u - d. What is the second biggest value in v, 0.2, 1? v Let x = 17 + -9. Suppose 10 = -2*i + x. Let n = 2 + -7. What is the third smallest value in 0.3, n, i? 0.3 Let d = 0.6 + -1. Let s be 3/(-2)*(-12)/6. Suppose 8 = i - 2*z, -z = s*i - 4*i + 3. Which is the second smallest value? (a) d (b) 1/2 (c) i a Let o = 1 - 2. Let f = o - -1. Which is the third smallest value? (a) -1 (b) 5 (c) f b Suppose -i + 21 = y - 0*i, y = -5*i + 41. Suppose 5 = -l, -4*q - 3*l + 7*l = -y. Let b be (4/(-18))/(1 - q). What is the third biggest value in -1/2, 1/9, b? -1/2 Suppose 5*x + 34 = -16. Let r be (8/(-20))/((-34)/x). Which is the third smallest value? (a) -1 (b) 4 (c) r b Let n be (12/8)/(30/16). Let d = -0.187 + -8.113. Let j = d - -8. What is the second smallest value in 1, n, j? n Suppose -3*h = 2*s - 21, -s - 10 = -3*h + 2. Let z = 670413554/693 + -967408. Let f = z - -4/77. What is the third smallest value in 1/10, h, f? h Let x = 0.17 + -0.27. What is the third biggest value in x, 0, 5? x Let v = -31/51 - 1/17. What is the fourth smallest value in 1/3, v, -1/6, -2/9? 1/3 Let p be (-1)/2*-1*108/(-18). What is the third biggest value in 5, p, -3/7, 3? -3/7 Let g(l) = l**3 + 10*l**2 + 15*l - 14. Let y be g(-8). What is the third biggest value in 0.5, y, -2/11? y Let u = 6 - 4. Let s = -0.1 + -2.9. Let p = u + s. What is the second smallest value in 1/3, p, 4? 1/3 Let m = -5 - -5. Suppose m = -4*n - 0*n. Which is the second biggest value? (a) 5 (b) -0.4 (c) n c Let h = -18 - -17.5. What is the third biggest value in -5, -4, 1, h? -4 Let t = 0.37 - 0.07. Which is the second smallest value? (a) -1.9 (b) -4 (c) 0 (d) t a Let k = -63 - -57.1. Let d = k + 0.9. Which is the second smallest value? (a) 1 (b) d (c) 2/9 c Let z = -2/913 + 5504/11869. Which is the third smallest value? (a) 4 (b) -2/11 (c) -4 (d) z d Let l = -17514 - -104555/6. Let w = 88 + l. Which is the third
{ "pile_set_name": "DM Mathematics" }
uppose 3*s + 54 = 5*n, 2*n + n - 34 = s. What are the prime factors of n? 2, 3 Let o(q) = 2*q**2 - 2*q + 1. Let g(y) = -y**2 - 4*y + 1. Let p be g(-5). List the prime factors of o(p). 41 Let h be 4 - ((-6)/(-3) - 0). Suppose d - 6 = -h*d. Suppose -5*y - d*u = -20, 0*y - 3*u + 13 = -y. List the prime factors of y. 2 Let f be 0 - 3 - (5 - 11). Suppose -56 = -f*l - l. List the prime factors of l. 2, 7 Suppose -21*x + 19*x = -18. List the prime factors of x. 3 Let a(r) = -r**2 - 9*r + 6. Let p = 7 - 12. Let q be a(p). Let v = 45 - q. List the prime factors of v. 19 Suppose -k = -3 + 1. What are the prime factors of k? 2 Let h be (1/3)/(2/18). Let q(w) = -2*w**2 + h*w**2 - w + 3*w**2. List the prime factors of q(-1). 5 Let d be (-2 - -7)*(-4 - -3). Let m(j) = -j**2 - 3*j + 1. Let v be m(d). Let p = v + 25. List the prime factors of p. 2 Let i(k) = k**2 - 5. Let l be i(-4). Let z = l - -2. List the prime factors of z. 13 Let v = -65 + 42. Let c = v - -52. Let f = c + -19. What are the prime factors of f? 2, 5 Let z(c) = c - 1. Let i be z(3). Let j be (6/(-3))/(-3 + i). Suppose -4*b + 59 = -3*v, 3*b - j*b + 3*v + 4 = 0. List the prime factors of b. 11 Suppose 3*x = 9*x - 378. What are the prime factors of x? 3, 7 Suppose m - 15 = 4*m. Let l = 7 + m. What are the prime factors of l? 2 Suppose -59 = -3*a + 5*w - w, 2*a - 4*w = 34. List the prime factors of a. 5 What are the prime factors of (112/(-18) + 2/9)*-29? 2, 3, 29 Suppose 0 = -2*i - 3*i + 5, 0 = 2*o + i - 1. Suppose -3*h = -2*u - 34, o*u = 2*u - 8. List the prime factors of h. 2, 7 Let c = -16 - -23. Let b(l) = l**2 - 4*l. What are the prime factors of b(c)? 3, 7 Let s = -4 - -2. Let c be (-3)/(-3) - s - 2. List the prime factors of -3 + (24*c - 0). 3, 7 Suppose -q + 5 = -2*q, 44 = 3*d - 4*q. Let j = 13 - d. Suppose 2*g = -j*o - 3, -33 = -3*g + 3*o + 2*o. List the prime factors of g. 2, 3 Suppose 5*k = -r - 120, 2*r + 96 = 3*k - 196. Let c be (r/(-2))/(2/2). Suppose 7*f - c = 2*f. What are the prime factors of f? 2, 7 Let l(r) = -r**3 + 6*r**2 - 3*r - 4. Let i be l(5). Let h = 6 + i. List the prime factors of h. 2, 3 Let r(h) be the first derivative of -h**4/4 + 11*h**3/3 - 5*h**2 + 3*h + 1. What are the prime factors of r(10)? 3 Let f(t) = -t**2 - 5*t - 3. Let q be f(-3). Let m(v) = 4*v**2 + 2*v**3 - v**q - 2*v**3 + 3*v. List the prime factors of m(3). 2, 3 Let a be (1 - -1) + 3 + 1. Suppose -3*z + 3 = -a. Suppose -t - 3*l + 16 = 0, 0 = -z*t + 2*t + l + 8. List the prime factors of t. 2, 5 Suppose 2*d + 2*d = 3*t - 22, -t + 22 = -5*d. Let x = 27 - d. What are the prime factors of 3/6 - x/(-2)? 2 Suppose 0 = 4*q + 2 + 26. Let t = q + 14. Let g(m) = -m + 11. List the prime factors of g(t). 2 Let g(l) = -5*l**3 + l + 1. Let y be g(-1). Suppose 40 = 5*t - 5*p, -3*t = -2*p + y - 34. List the prime factors of t. 13 List the prime factors of 1*7/((-7)/(-26)). 2, 13 Let b be (2/(-2) - -60) + -2. Suppose -3*q + 0*q = -b. List the prime factors of q. 19 Let i(l) = -l**2 - 9*l + 1. Let d be i(-9). Suppose -j - 25 + 5 = 0. What are the prime factors of d*-2 + j/(-4)? 3 Let x(z) = -z + 12. Let t be x(9). Suppose -t*m - 6 = -4*m. Suppose -3*b + m*b = 24. List the prime factors of b. 2 Let v = -109 + 185. What are the prime factors of v? 2, 19 Suppose 0 = -q - 3*v - 42, 12 = -3*v - 0. List the prime factors of q/(0/4 + -1). 2, 3, 5 Let i be 84/10 + 10/(-25). Suppose 3*d = i*d. What are the prime factors of 30/(-3)*(-1 + d)? 2, 5 Let o be (3/(-3))/(1/(-4)). Suppose -35 = -g - o*g. What are the prime factors of g? 7 Let g(u) = u**3 + 6*u**2 - 10*u - 1. Let k be 5 + -10 - (2 - 0). List the prime factors of g(k). 2, 5 Suppose -u + 33 = -0*u. List the prime factors of u. 3, 11 Suppose n = -5*m - 13, 2*n + 0*m - 4 = -4*m. Suppose p + 0 = n. Let o = p + -5. List the prime factors of o. 7 Suppose -3*m + 2*o + 266 = 0, 0 = -3*m + 3*o + 112 + 158. List the prime factors of m. 2, 43 Let b(f) = -f + 1. Let r be b(2). Let v(k) = -13*k**3 + k + 1. Let i be v(r). Suppose -20 = -3*m + i. What are the prime factors of m? 11 Let b be 0 + 6/(-1) - 0. Let i = 15 - b. What are the prime factors of i? 3, 7 Suppose 4*h - 13 = 3. Suppose 0 = -c + 3*c - 4. Suppose -g - 5 = h*g + 4*v, -g - c*v - 7 = 0. What are the prime factors of g? 3 What are the prime factors of (206 + 5)*(-3)/(-3)? 211 Suppose -3*y - 4*a = -6*y + 229, -2*y - 5*a = -191. List the prime factors of y. 83 Suppose 5*r - 4*r + 5 = 0. List the prime factors of (-12)/r*40/12. 2 Let y(i) = i**3 - 3*i**2 + 9*i - 1. What are the prime factors of y(5)? 2, 47 Let l be (4 - 2)/4*8. What are the prime factors of 5/(-10) + 34/l? 2 Let c = -5 + 10. Suppose -9 - c = -2*m. Suppose -s + 2*b = -20, -4*s + m*s + b = 32. What are the prime factors of s? 2, 3 Suppose -14 = -2*j + 5*g + 10, -j = 5*g + 3. Suppose j*k = 2*k + 30. Let d = 0 + k. List the prime factors of d. 2, 3 Let m = 2 + 0. Let j(s) = -s**3 + 6*s**2 + s + 6. Let d be j(6). Suppose -d + 35 = 2*v - 3*g, -m*v = 3*g + 7. What are the prime factors of v? 2 Suppose -2*c + 3*z + 9 = 0, -3*c + 2*c - 2*z + 1 = 0. Suppose 0 = -i + c*j + 22, j - 5*j + 104 = 4*i. Suppose -4*r - 5 + i = 0. List the prime factors of r. 5 Let t = 50 - 40. What are the prime factors of t? 2, 5 Suppose 4*k - 5*y + 16 = 4, -k - 5*y = -22. Suppose 0 = -k*d - d + 159. List the prime factors of d. 53 Suppose -2*s + 215 = -3*r, 0 = 5*s + 4*r - r - 506. List the prime factors of s. 103 Suppose -3*i + 4*b = -36, 2*b = 4*i - 45 - 3. Let q = i + -4. List the prime factors of q. 2 Let g = -74 - -135. What are the prime factors of g? 61 Let t(j) be the first derivative of j**4/4 + 11*j**3/3 - j**2 + 2*j - 5. What are the prime factors of t(-11)? 2, 3 Let z = -19 + 89. What are the prime factors of z? 2, 5, 7 Let d(l) = l**3 - 9*l**2 - 13*l. List the prime factors of d(11). 3, 11 What are the prime factors of -5*3*530/(-75)? 2, 53 List the prime factors of 4596/8*10/15. 383 Suppose -111 - 9 = -2*d. What are the prime factors of (d/14)/((-2)/(-14))? 2, 3, 5 Let v be 1*-6*(-4)/6. Let l(b) = b**3 - 2*b**2 - 6*b + 3. List the prime factors of l(v). 11 Suppose -5*f + 3*u + 50 = 0, 5*f = -10*u + 5*u + 50. Let b(t) = -t + 5. Let d be b(f). List the prime factors of (-4)/30*3*d. 2 Let p(o) = 32*o - 31. What are the prime factors of p(5)? 3, 43 Suppose -k - 5*z = 2*k - 1, -3*k - z = -5. Suppose 4*n - k*n = 4*b - 16, 0 = -4*n - 2*b - 12. List the prime factors of (n/(-6))/((-2)/(-24)). 2 Let b(t) be the third derivative of -t**6/120 - 2*t**5/15 - 3*t**4/8 + t**3/3 - t**2. What are the prime factors of b(-7)? 2 Let q be 1 + -3 + 3 + -11. Let m be (q/(-8))/((-5)/20). Let v = 7 - m. What are the prime factors of v? 2, 3 Let s(v) = 2*v - 1 + 11*v + 2. Let l be s(3). Suppose -l = -6*y + y. List the prime factors of y. 2 Suppose -14 = -y - 5*u, y + 4*y = u + 18. Suppose 0*h - 9 = -2*d + 5*h, 0 = -5*d - y*h + 39. What are the prime factors of d? 7 Suppose 4*m - 2*f = 242, 0 = -5*m - 3*f + 79 + 218. Suppose -m = -6*z + z. What are the prime factors of z? 2, 3 Let y(f) = -f**3 - 6*f**2 - 7*f - 6. Let j(k) = -4*k + 3. Let t be j(2). What are the prime factors of y(t)? 2 Let d = 22 - 20. List the prime factors of 1/1 + d + 12. 3, 5 Suppose -6 = -2*u, -3*t - 5*u = -6*t - 27. Let w(h) be the third derivative of -h**4/8 - h**3/3 + 3*h**2. What are the prime factors of w(t)? 2, 5 List the prime factors of (4 - -145) + 2/(-2). 2, 37 Let x(m) = -m**2 + 7*m - 3. Let a be x(6). What are the prime factors of 40/a - (-4)/6? 2, 7 Suppose -1 = -0*h + h. List the prime factors of (-2)/((-70)/66 - h). 3, 11 Let b be (-12)/78 + (-297)/13. Let w = -14 - b. List the prime factors of w. 3 Suppose 0*r + 4*r = 32. Let a = r + -4. Let c = -2 + a. What are the prime factors of c? 2 Let v = 1179 - 816. List the prime factors of v. 3, 11 Let t(o) = 2*o + 3. Let f be t(4). Let y be 2/(-6) - (-38)/6. Let j = f - y. List the prime factors of j. 5 List the prime factors of (6/4)/(8/416*1). 2, 3, 13 Suppose -225 - 15 = -3*v. Suppose 2*h = 6*h - v. List the prime factors of h. 2, 5 Let l(b) be the second derivative of -2*b + 1/2*b**2 + 0 - 5/3*b**3. List the prime factors of l(-1). 11 Suppose 0 + 44 = r. List the prime factors of r. 2, 11 Let d(f) = f**2 - 1. Let t be d(-2). Suppose -3*o + 5*v + 32 = 0, -o + t
{ "pile_set_name": "DM Mathematics" }
4. Does 34 divide d? True Let z(u) = -u**2 - 25. Let r be z(-10). Let w = r + 269. Does 16 divide w? True Suppose -4*k + 76 = -2*x + 8, 5*k - 115 = -5*x. Suppose q + k = 274. Let b = -52 + q. Is b a multiple of 29? True Let x = 3180 - 2971. Is x a multiple of 29? False Let c(p) = -p**3 - 15*p**2 + 16*p + 54. Suppose -85*w - 68 = -81*w. Is c(w) a multiple of 18? True Let z = 915 - -105. Is z a multiple of 85? True Let t be (-14)/8 + 2 + 1169/28. Suppose -4*m + t = 26. Suppose -7 = m*s - 31. Is 3 a factor of s? True Let t = -37 + 47. Suppose -4*m + 4*i + t = -30, 12 = -4*i. Does 7 divide m? True Suppose 5005 = -3265*u + 3276*u. Does 8 divide u? False Suppose -22*w + 13483 = -27965. Is 175 a factor of w? False Suppose 137*u - 135*u = -818. Let n(y) = 43*y - 5. Let v be n(-5). Let w = v - u. Is 27 a factor of w? True Let v = 63031 + -37867. Is 21 a factor of v? False Is 6 a factor of (-33064)/(-12)*(290/(-20) + 16)? False Suppose -47*n - 9 = -56*n. Let q(f) = 123*f**3 + 4*f**2 - 4*f + 2. Is 25 a factor of q(n)? True Is ((-126)/30)/(21/(-23520)) a multiple of 21? True Let v be 2 - (-1 + -5) - 4/1. Suppose 5*h = 2*h + v*f + 1924, -4*f = h - 652. Is h a multiple of 29? False Suppose -14581*p = -14537*p - 520608. Is 24 a factor of p? True Let x(t) = 22*t**2 + 9*t - 14. Let p(r) = -2*r**3 + 67*r**2 - 34*r + 37. Let z be p(33). Is x(z) a multiple of 9? False Let g = -213 - -42. Let b = -82 - g. Is 61 a factor of b? False Suppose -1437 - 333 = -2*m - 2*g, -2651 = -3*m + g. Let d = 1400 - m. Suppose -3*r = -15*r + d. Is r a multiple of 14? False Let q = -483 + 286. Let s = q + 234. Is 3 a factor of s? False Let b(u) be the first derivative of -u**3/3 - 13*u**2 - 24*u + 20. Does 8 divide b(-18)? True Let j = 1 + 2. Let n be ((-1)/9)/(-1) + (-4848)/(-108). Suppose -j*b = -8*b + n. Is b even? False Suppose 22*a - 5480 = 17*a + 5*o, 1104 = a + o. Is 50 a factor of a? True Does 18 divide (23/((-391)/(-306)))/(1/84)? True Let t = -2542 - -4747. Is t/18 + 2/4 a multiple of 5? False Suppose 4*o - 93*o + 47*o = -43806. Is o a multiple of 11? False Suppose -9 = 33*h - 36*h. Suppose -6 = -3*q + 2*r, h*q - 4*r + 4 = q. Suppose q*a + 3*a = 980. Is a a multiple of 14? True Suppose -3*b + 4 = -2. Suppose 290 = j + b*x, -5*x - 659 - 436 = -4*j. Is j a multiple of 28? True Let f(n) = -141*n + 1290. Is f(-4) a multiple of 7? False Let u(s) = 3*s**2 + 24*s + 80. Is 12 a factor of u(23)? False Let a(q) = 1115*q**2 + 16*q - 51. Is 71 a factor of a(3)? False Let h = -439 + 688. Suppose 3*z + h - 1080 = 0. Let g = z - 166. Does 29 divide g? False Does 145 divide (-1)/(358860/119625 + -3)? True Suppose 0 = -j - 4*r - 9, 4 = -r + 2. Let y(l) = -10*l**2 + 2*l + 1. Let x be y(j). Is (-1 - -19)*((-220)/12)/x a multiple of 6? True Let d(k) = 5*k**3 + 6*k**2 - 14. Let n be d(-5). Let u = n - -885. Is u a multiple of 18? True Let o = -2189 - -11090. Is 43 a factor of o? True Suppose 5*o - 232 = -2212. Suppose -q + 587 = -3*w, 9*w = 2*q + 11*w - 1150. Let s = o + q. Does 21 divide s? False Suppose -5*s - 60854 = -2*p, -1639*p + 3*s = -1643*p + 121812. Is 58 a factor of p? False Let o(n) = -n**2 + 8*n + 8. Let p be (2 - 5)*70/(-21). Let w be o(p). Let l = -1 - w. Is l a multiple of 11? True Suppose 0 = -2*r + w + 49197 - 14269, -4*r = 5*w - 69856. Is 23 a factor of r? False Suppose 12109*r = 12097*r + 107460. Is r a multiple of 113? False Let l(k) = -12*k**3 + 9*k**2 + 5*k + 5. Let v(r) = -5*r**3 + 4*r**2 + 2*r + 2. Let y(u) = 2*l(u) - 5*v(u). Suppose -2*t = 2*t - 24. Does 36 divide y(t)? True Suppose -11*w + 15*w - 5*n - 11954 = 0, 3*n - 18 = 0. Is 14 a factor of w? True Let m = 32 - 34. Let g be -2*(-5 + (-2)/m). Is (222/g)/(36/48) a multiple of 11? False Let c(j) = -j**3 - 11*j**2 + 82*j - 8. Let z be c(5). Let q(l) = 6 + 29*l**2 + 79*l**2 - 5*l - l - 1. Is 58 a factor of q(z)? False Suppose d + 145 = -5*y + 19, 5*d + 682 = y. Does 16 divide (762/8)/((-51)/d)? False Suppose 2*u = -2*q - 16, 3*u + 33*q + 28 = 32*q. Let s(j) be the first derivative of j**3/3 - j**2 + 7*j + 1. Does 27 divide s(u)? False Let s = -6197 - -24727. Is 85 a factor of s? True Let u = -3022 + 5689. Is u a multiple of 21? True Let n(g) = -10*g - 8. Let p be n(5). Let m = 106 - 107. Does 23 divide p*((2 - m) + -4)? False Let p = -27 - -33. Suppose -5*y = -p*a + 10*a - 1863, 4*a + 387 = y. Is y a multiple of 12? False Let b(d) = 168*d + 159. Let j(n) = -34*n - 32. Let f(g) = 5*b(g) + 24*j(g). Is 9 a factor of f(18)? True Suppose -a = 4*w - 13, 3*w + 20 = 5*w - 4*a. Suppose 3*b + w*r - 17 = 3, 0 = 2*r - 4. Suppose 0 = -2*t + l + 138, 3*t - b*l - 193 = l. Is 12 a factor of t? False Let c(a) = -10132*a - 305. Is 31 a factor of c(-1)? True Let h(j) = 299*j + 1235. Is h(18) a multiple of 149? False Let u = 19293 + -11265. Does 18 divide u? True Let z(w) = w**3 + 13*w**2 + 43*w + 16. Let a be z(-5). Does 13 divide -5 + (193 - 6)/a? True Let j(y) = 2*y**2 - 12*y + 13. Let r be j(4). Is 13 a factor of 7/(-21) - (4 + 442/r)? True Let z = -170 - -259. Suppose 6*k + 36 = -0*k. Let j = k + z. Is j a multiple of 22? False Let w(q) = 5*q**2 - 154*q - 173. Does 8 divide w(48)? False Suppose 2*q = d - 8, -3*d + 2*q + 13 = -7. Suppose -5*r - d = -6*r. Suppose r*s = s + 50. Is 4 a factor of s? False Let d = 126 + 1034. Suppose n - d = -5*k, -30*n = -5*k - 27*n + 1140. Does 26 divide k? False Is ((-336)/(-84) + (-206)/(-4))/(3/80) a multiple of 10? True Suppose -5*n + 0*n + 2*q = 4, 0 = n + 3*q - 6. Let g be ((-4)/(-6))/(-2)*(6 + n). Is (3 + -2)*-197*g/2 a multiple of 20? False Let a = -766 + 432. Let j = a + 743. Is j a multiple of 11? False Suppose 4*r + 54 = 42, -4*r - 3124 = -4*w. Is 3 a factor of w? False Let t be (-3 + 1 + 3)/((-4)/(-792)). Is 13698/t - (-2)/(-11) a multiple of 11? False Suppose -2*z + 60 = -s, 3*s - z + 4*z + 135 = 0. Let g = s - -38. Is g/(-3)*(-4 - (-261)/6) a multiple of 15? False Let p be (-657)/(-6)*(-18)/(-27). Let j = -71 + p. Let b = j + 30. Is 8 a factor of b? True Is 32 a factor of (1 - 8) + -2547*(-75)/135? True Is 110 a factor of 2254/((22/(-33))/(-2))? False Suppose 2*r = 2*m + 531 + 12199, r = -5*m + 6341. Does 15 divide r? False Let s(a) = 5*a - 22. Let x be ((-4)/(-10) + (-24)/10)*-4. Let q be s(x). Is 12 a factor of (200 + 0)*(19 - q)? False Let v = -94 + 102. Let x(m) = -3*m**2 + 23*m + 25. Does 8 divide x(v)? False Let q(z) = -3*z**3 + 190*z**2 - 28*z + 110. Is q(63) a multiple of 20? False Does 113 divide ((-2147)/5)/((-82)/1640)? True Suppose -7 = g - 2*j, 2*g + 0*j - 5*j = -9. Let q = -3 - g. Suppose 0 = -q*d + 15*d - 24. Is 8 a factor of d? True Suppose 5*m = 7*d - 7539, 115 = 5*d + 2*m - 5231. Is d a multiple of 3? False Is 92100/14 - ((-1199)/(-77) + -16) a multiple of 9? True Suppose 0 = -6*x + 4*x, -7*d + 100695 = 5*x. Is 18 a factor of d? False Let q = 33 - 31. Let r be q/(-4) - (-2685)/30. Let z = 139 - r. Is z a multiple of 14? False Let n = 76502 - 44756. Is n a multiple of 251? False Let u(m) = 4*m**3 + 5*m**2 + 66*m + 32. Is 59 a factor of u(10)? True Suppose 13*s = -15*s + 160076. Suppose 6*b + 551 - s = 0. Is 37 a factor of b? False Let w be 747 - ((-120)/4)/(-5). Suppose 0 = 16*i - 15*i - w. Is i a multiple of 13? True Is (-120)/(-80)*(-1)/((-9)/(-30)) + 15651 a multiple of 20? False Suppose 0 = -8*o + 38*o - 92970. Let k = o + -2199. Does 20 divide k? True Let z be -9 - (-3 - -1)/(-2). Let y(p) = 3*p + 16. Let u be y(z). Is 13 a factor of (18/(-12))/(u/(-8))*-56? False Suppose -3*q = -3*n + 4056, -336 = -n - 3*q + 1024. Suppose 0*y = 3*y - 4*b - 804, -5*y + 2*b + n = 0. Is y a multiple of 68? True Is (119340/1547)/((-2)/(-245)) a multiple of 75? True Let d = -31 + 32. Let l be 21/(50/44 - d). Let f = -61 + l. Is 22 a factor of f? False Suppose 5*u - 83 = 47. Suppose 3*t - u = -17. Suppose 97 - 709 = -t*b. Is b a multiple of 17? True Let i(y) = -2*y**3 + 5*y**2 - 2*y + 2. Let n be i(2). Suppose 4*t - 35 = -g, n*t - 139 = -5*g - 0*t. Does 10 divide g? False Suppose -3*v - 25 = -v + 5*h, h = 5. Let p = -12 - v. Suppose 0 = -p*s + 17*s - 128. Is s a multiple of 2? True Let t(x) = 4*x**3 + 10*x**2 + x - 10. Let h be t(-7). Let d = 82 - h. Suppose -10*z - 141 = -d. Is 25 a factor of z? False Let a = 40 + -36. Suppose a*q + 2*x + 38 = -0*x, -5*q + 2*x = 52. Let l = q + 31. Is
{ "pile_set_name": "DM Mathematics" }
2 + 9931925*u - 79455080. -5*(u - 1986377)*(u - 8) What is q in -q**5/2 - 691*q**4/10 - 10979*q**3/5 + 21038*q**2/5 + 4644*q/5 = 0? -86, -54, -1/5, 0, 2 Determine r so that 3*r**3 - 6072*r**2 + 220065*r + 977604 = 0. -4, 41, 1987 Factor -4*j**2 + 16516*j + 64510320. -4*(j - 6580)*(j + 2451) Suppose 3*d**2 + 18843*d - 8828766 = 0. What is d? -6719, 438 Factor s**2 - 390706*s - 1172127. (s - 390709)*(s + 3) Let -2*l**3/7 + 632*l**2/7 - 6120*l/7 = 0. What is l? 0, 10, 306 Let -5*n**5/8 + 103*n**4/4 + 2809*n**3/8 - 59615*n**2/4 - 153017*n/2 + 15895 = 0. Calculate n. -22, -5, 1/5, 34 Factor -3*k**4/2 - 2778030*k**3. -3*k**3*(k + 1852020)/2 Factor b**3 - 155*b**2 - 4686*b + 33480. (b - 180)*(b - 6)*(b + 31) Determine u so that 4*u**4/5 + 388*u**3 + 35116*u**2/5 - 61939668*u/5 - 1721713392/5 = 0. -309, -28, 161 Factor c**2/3 - 196381556*c/3 + 9641428884245284/3. (c - 98190778)**2/3 Solve -2*t**2 - 52582*t - 156398736 = 0 for t. -22872, -3419 What is x in 2*x**4/5 - 1706086*x**3/5 - 143320632*x**2/5 - 4013065504*x/5 - 37455687808/5 = 0? -28, 853127 Factor -2*u**2 - 232797748*u - 6774348934233938. -2*(u + 58199437)**2 Determine o, given that o**2/7 + 782085*o/7 + 782084/7 = 0. -782084, -1 Solve -5*d**5 - 19370*d**4 + 644835*d**3 + 702920*d**2 - 1328380*d = 0 for d. -3907, -2, 0, 1, 34 Factor i**2 - 24290449*i - 72871356. (i - 24290452)*(i + 3) Solve q**4/3 - 937*q**3 + 738144*q**2 + 5575680*q - 140132450304 = 0 for q. -357, 1056 Factor 4*z**3 - 120772*z**2 + 339627132*z - 251248946364. 4*(z - 27151)*(z - 1521)**2 Let -4*l**2 + 47439*l/2 = 0. What is l? 0, 47439/8 Let -660*w**4 + 77389376*w**3 - 2268628751948*w**2 + 1429894238816*w - 41246908608 = 0. Calculate w. 1/33, 3/5, 58628 Find s such that -5*s**4 + 11050*s**3 - 582120*s**2 = 0. 0, 54, 2156 Find q such that q**5 - 49*q**4 + 771*q**3 - 4739*q**2 + 12020*q - 10500 = 0. 2, 3, 5, 14, 25 Factor -5*l**2 + 212320*l + 7862685. -5*(l - 42501)*(l + 37) Let 2*b**5/3 - 310*b**4 + 27142*b**3 + 2794*b**2/3 - 82052*b + 54288 = 0. Calculate b. -2, 1, 117, 348 Factor -c**3/6 - 1239*c**2 - 2273920*c + 321714800/3. -(c - 46)*(c + 3740)**2/6 Determine j so that 2*j**4/15 - 66214*j**3/15 - 2*j**2/15 + 66214*j/15 = 0. -1, 0, 1, 33107 Factor 2*w**2/5 - 226829584*w/5 + 6431457522201632/5. 2*(w - 56707396)**2/5 Factor x**3 - 20167*x**2 + 20160*x + 120996. (x - 20166)*(x - 3)*(x + 2) Factor -14*w**2/3 - 2278922*w/9 - 108520/9. -2*(w + 54260)*(21*w + 1)/9 Determine i, given that 2*i**4 + 392*i**3 + 23592*i**2 + 450432*i = 0. -102, -48, -46, 0 Factor -2*v**3/7 + 892798372*v**2/7 - 99636116630731298*v/7. -2*v*(v - 223199593)**2/7 Determine r, given that r**3/4 - 6494*r**2 + 2491445*r - 240757492 = 0. 194, 25588 Determine s so that s**2/3 - 14935*s/3 + 7084602 = 0. 1593, 13342 Factor 5*k**3 + 172035*k**2 - 3098250*k. 5*k*(k - 18)*(k + 34425) Find v, given that v**4/8 - 4303*v**3/4 + 111731*v**2/8 - 94523*v/4 = 0. 0, 2, 11, 8593 Solve -2*u**4 + 30152*u**3 - 1563034*u**2 + 8082268*u + 9675456 = 0. -1, 7, 46, 15024 Let -364*f**5/3 - 8914004*f**4/3 + 8718812*f**3/3 + 9109924*f**2/3 - 8718448*f/3 - 195920/3 = 0. What is f? -24490, -1, -2/91, 1 Determine u so that -5*u**2 - 1541245*u - 16953090 = 0. -308238, -11 Factor -4*u**2/7 - 82560*u/7 - 623492. -4*(u + 53)*(u + 20587)/7 Let j**5/4 - 61*j**4/4 - 1183*j**3/4 + 10261*j**2/4 - 10809*j/2 + 3150 = 0. Calculate j. -21, 1, 2, 4, 75 Find s such that 70*s**4 - 918*s**3 - 21456*s**2 - 52136*s + 6240 = 0. -10, -3, 4/35, 26 Factor 2*j**2 - 6134112*j + 4703416253568. 2*(j - 1533528)**2 Find p such that -p**3 + 649*p**2 - 98006*p - 198616 = 0. -2, 244, 407 Solve 5*t**3 - 15415*t**2 - 1720080*t - 9764460 = 0 for t. -102, -6, 3191 Factor 985*h**3 + 10661540*h**2 + 28849315440*h - 2928974400. 5*(h + 5412)**2*(197*h - 20) Find t, given that 97*t**5/5 - 869504*t**4/5 + 2572086*t**3/5 - 2500204*t**2/5 + 761681*t/5 + 35844/5 = 0. -4/97, 1, 8961 Solve -h**4 + 49036*h**3 + 147115*h**2 + 98078*h = 0. -2, -1, 0, 49039 Factor t**3/2 + 10079*t**2/2 + 3006638*t - 6033438. (t - 2)*(t + 639)*(t + 9442)/2 Determine j so that 196*j**5 - 8935360*j**4 + 101822255488*j**3 + 349183656960*j**2 + 299322786816*j = 0. -12/7, 0, 22796 Factor -i**3/8 - 124*i**2 - 8811*i/8 + 8847/2. -(i - 3)*(i + 12)*(i + 983)/8 Factor -20*l**2 - 10521335*l + 2630335. -5*(l + 526067)*(4*l - 1) Factor -3*w**2/7 - 79935*w/7 - 592644. -3*(w + 52)*(w + 26593)/7 Suppose 92*b**3 + 942348*b**2 + 6510040*b - 573216 = 0. Calculate b. -10236, -7, 2/23 Find i such that 2*i**5 - 30098*i**4 + 451018*i**3 + 30098*i**2 - 451020*i = 0. -1, 0, 1, 15, 15034 What is r in -2*r**3/5 + 20246*r**2/5 + 284914*r + 4994570 = 0? -35, 10193 Solve -3*a**4/5 + 2439*a**3 + 12378*a**2/5 - 732204*a/5 + 1317384/5 = 0 for a. -9, 2, 6, 4066 Find g such that -3*g**5/2 + 5139*g**4/2 + 342855*g**3/2 - 2973435*g**2/2 + 3615714*g - 2302992 = 0. -72, 1, 3, 4, 1777 Suppose 2*k**2 + 1172600*k + 1172598 = 0. Calculate k. -586299, -1 Factor -2*u**2/7 + 502340*u/7 + 24116928/7. -2*(u - 251218)*(u + 48)/7 Factor -w**2/2 - 3279*w/4 - 25326. -(w + 1608)*(2*w + 63)/4 Factor 2*z**4/5 - 66676112*z**3/5 + 148190094820608*z**2 - 2744646528981014392832*z/5 - 21957219652712595914752/5. 2*(z - 11112688)**3*(z + 8)/5 Determine w so that -5*w**4/2 + 1885*w**3/2 - 50410*w**2 + 701520*w = 0. 0, 24, 37, 316 Solve -2*r**2/5 + 1943570*r + 116614488/5 = 0. -12, 4858937 Factor 716*z**2/3 - 34270*z/3 - 1568. 2*(z - 48)*(358*z + 49)/3 Let -v**4 - 3126*v**3 + 772812*v**2 + 3128728*v + 3141216 = 0. What is v? -3356, -2, 234 Suppose h**4/11 - 483*h**3/11 - 67546*h**2/11 + 87048*h = 0. What is h? -124, 0, 13, 594 Suppose g**5 - 2801*g**4 - 2814*g**3 + 33628*g**2 - 11192*g - 44832 = 0. What is g? -4, -1, 2, 2802 Suppose k**5/2 - 155*k**4/4 + 2675*k**3/4 - 11225*k**2/4 + 12443*k/4 - 935 = 0. Calculate k. 1/2, 1, 4, 17, 55 Suppose -2*u**5/9 - 452*u**4/9 - 27404*u**3/9 - 299968*u**2/9 + 8872094*u/9 - 36887788/9 = 0. Calculate u. -134, -53, 7 Let -5*z**4 - 5*z**3 + 20630*z**2 + 102020*z - 286440 = 0. What is z? -62, -7, 2, 66 Suppose -49*f**3/8 + 180428171*f**2/8 - 12887725*f + 3682207/2 = 0. Calculate f. 2/7, 3682207 Solve 2*h**2/13 + 34936558*h/13 + 174682740/13 = 0. -17468274, -5 Factor 2*s**3 + 17992*s**2 - 396838*s - 414828. 2*(s - 23)*(s + 1)*(s + 9018) Determine o, given that -7225*o**5 - 774945*o**4 - 7345175*o**3 - 14894195*o**2 + 18736080*o + 4285460 = 0. -97, -94/17, -1/5, 1 Suppose -45*m**3 - 2279*m**2/3 - 3778*m/3 + 160 = 0. Calculate m. -15, -2, 16/135 Let -3*u**3/2 - 929682*u**2 - 144049577472*u + 576213184896 = 0. What is u? -309896, 4 Factor -3025*u**2 + 19987660*u - 33017070436. -(55*u - 181706)**2 Factor -c**3/6 - 2008*c**2/3 - 17298*c - 31920. -(c + 2)*(c + 24)*(c + 3990)/6 Suppose -w**5/5 - 183*w**4/5 - 9378*w**3/5 - 15992*w**2 + 2733312*w/5 - 1013760 = 0. What is w? -100, -48, 2, 11 Suppose -g**5/2 + 2956613*g**4 - 8741548605309*g**3/2 - 17483132689990*g**2 - 17483144516450*g = 0. What is g? -2, 0, 2956615 Determine k, given that 2*k**5/3 - 1604*k**4/3 - 209798*k**3/3 + 869528*k**2/3 + 206600*k - 1297056 = 0. -118, -2, 3, 916 Suppose 2*c**3/3 + 9742*c**2/3 + 394088*c/3 - 3174920 = 0. Calculate c. -4830, -58, 17 Solve -q**5 + 272*q**4 - 10948*q**3 - 366310*q**2 + 18424517*q - 18047530 = 0 for q. -38, 1, 47, 215 Factor -20*c**2 + 20387168*c - 8154864. -4*(c - 1019358)*(5*c - 2) Suppose -5*o**2 - 104483990*o - 545845208316005 = 0. What is o? -10448399 Factor -5*g**3 + 71160*g**2 + 1710000*g + 10264320. -5*(g - 14256)*(g + 12)**2 What is y in -355*y**3/6 - 2974546*y**2/3 - 5965138*y/3 - 33512/3 = 0? -16756, -2, -2/355 Determine i so that i**5/5 - 1412*i**4/5 - 76466*i**3/5 + 468468*i**2/5 + 7770789*i - 376319736/5 = 0. -39, 13, 1464 Solve p**3 + 6463793*p**2 + 10445158218608*p + 10445151754816 = 0. -3231896, -1 What is y in 3*y**5 + 885*y**4 + 51009*y**3 - 1419285*y**2 - 1469412*y = 0? -196, -119, -1, 0, 21 Let -2*x**2/5 + 3081068*x/5 - 6162128/5 = 0. What is x? 2, 1540532 Solve -2*o**3/3 + 2026*o**2/3 - 475792*o/3 - 19220320/3 = 0. -35, 524 Find t, given that 2*t**4/3 + 1433692*t**3/3 - 7168502*t**2/3 + 5734808*t/3 = 0. -716851, 0, 1, 4 Suppose -h**5/5 + 28254*h**4/5 - 197001897*h**3/5 - 36469517812*h**2/5 + 621278805504*h/5 - 2535432028416/5 = 0. Calculate h. -196, 8, 14217 Determine c s
{ "pile_set_name": "DM Mathematics" }
e of z and 91? 728 Let q(h) = h**2 - 15*h + 18. Calculate the smallest common multiple of q(14) and 16. 16 Suppose -2*y + 16 = -0*y. What is the least common multiple of y and (21 - (-56)/(-8))*7? 392 Let b = 30301899/532 + -472196/19. Let t = b + -32102. Find the common denominator of t and 133/36. 252 Suppose -w = 12 - 4. Suppose -3*u + 39 = 3*h, u + 53 = 6*u + 2*h. Let v = w + u. Calculate the lowest common multiple of 10 and v. 10 Calculate the common denominator of ((81/1716)/9)/(3/118) and -103/6. 858 What is the least common multiple of 5 - 2 - 11/((-77)/2289) and 66? 330 Let r = -710016/55 + 12909. Let l = r - -5021/330. Let o = -365703/22 + 16619. Calculate the common denominator of o and l. 66 Let a = 10769/6 - 1810. Let v be (-11462)/(-40) + (-2)/4. Let b = v + -2919/10. Calculate the common denominator of b and a. 60 Let z = -15/374 + 19471/5236. What is the common denominator of -71/28 and z? 28 What is the common denominator of 4*(-94)/64 - (-1 - -4) and 145/24? 24 Let x be (-1882)/(-934) - (0 + 2). Let s = 1202464861691/242188805860 - 18/129651395. Let k = s - x. Find the common denominator of 7/12 and k. 60 Let q be (30/(-8))/((-3)/12). Let o = q + -10. Suppose -o*f = -6*f + 12. Calculate the lowest common multiple of f and 12. 12 Suppose -b + 0*b = 5*f - 102, -2*b = 2*f - 44. Find the common denominator of (-67)/3*15/f and 43/6. 12 Let q = -17 + 137. Suppose 3*c = -c + q. Calculate the least common multiple of c and 5. 30 Let t(o) = -o**2 + 10*o - 1. Let g(u) = 4*u + 1. Let b be g(2). Let s be t(b). Calculate the common denominator of 1494/(-99)*(-2)/s and -67/18. 198 Suppose 2*f + 4*g + 6 = 0, 6*g = -4*f + g - 3. Suppose -s = -10 + f. Calculate the smallest common multiple of 4 and s. 28 Let l = 375223/165 + -11361/5. Find the common denominator of -73/9 and l. 99 Let i be (-5 - 1)/((2 + 2)/2). Find the common denominator of (i/4)/(-2 + 53/22) and -27/160. 480 Let d = 5 - -1. Suppose t = d*t. Let x = 4 + t. What is the least common multiple of x and 22? 44 Calculate the common denominator of 0 + (-250)/(-16) - (5 + 1) and -13/22. 88 Let t = 102011/33 + -3091. Calculate the common denominator of t and 61/60. 660 Suppose -3*d = -3*h + 1089, 5*h - 38*d - 1818 = -34*d. What is the lowest common multiple of h and 6? 366 Let a = 14 + -14. Suppose a = -5*h + 10*h. Suppose -u + w - 4*w + 2 = h, 4*u - 8 = -4*w. Calculate the smallest common multiple of u and 1. 2 Let p(z) = z**2 + 5*z + 6. Let s be (-200)/32 + 2/8. Let m be p(s). Let u = m - 5. What is the smallest common multiple of u and 11? 77 Suppose 0 = -2*t - 61*r + 65*r + 604, 0 = -4*t + 5*r + 1211. Calculate the smallest common multiple of 114 and t. 912 Let m be 163528*1/3 + 3. Let z = m + -55251. Let o = z + 725. Find the common denominator of -7/3 and o. 3 Let k(o) = o**2 - 5*o - 7. Let v be k(7). Suppose -3*h + 6*q + 63 = q, -3*h - 5*q = -33. Calculate the smallest common multiple of h and v - (2 + 0)/2. 48 Let u = -47293/33 + 21070/11. Let c be 2/(-8) - (-68673)/144. Let q = c - u. Find the common denominator of -133/6 and q. 48 Suppose -4*q - 378 - 402 = 0. Calculate the common denominator of q/(-40) + 1 + -3 and -5/7. 56 Let z(p) = 7*p**3 + p**2 + 3*p - 2. Let x be z(-2). Let f be (-888)/(-14) - 24/(-42). What is the common denominator of 38*(-1 - f/x) and -23/7? 105 Let x(d) = d**2 + 4*d + 8. Calculate the least common multiple of x(-6) and ((-96)/80)/(3/(-45)). 180 Let f(m) = m**2 - m - 2. Let v be f(14). What is the common denominator of (-3)/16*(-177)/(-9) and 1161/v + (-4)/10? 80 Calculate the common denominator of 85/18 and 6190/10725 + (-10)/25. 2574 Suppose -2*f + 36 = 2*f. Suppose -r = -4*v + 24, 3*r + 2*v = -r - 6. Let q = f + r. Calculate the smallest common multiple of 9 and q. 45 Let z = 86 - 122. Suppose 24*n + 30 = 23*n. What is the common denominator of z and (n/(-35))/((-10)/14)? 5 Let t = -19 - -20. Find the common denominator of -8/11 and -35 + (2 - t/2). 22 Let d = -3223 + 1182. Let o = d + 28685/14. Calculate the common denominator of o and -13/6. 42 Let y = -7 + 8. Suppose -g - 1 = -8. What is the smallest common multiple of g and y*2 + 7 + 1? 70 Let t = 2345 + -14111/6. Let s be ((-8)/20)/(4/(-40)). What is the common denominator of t and (1/36)/(s/424)? 18 Let o(d) = -136*d + 477. Calculate the lowest common multiple of 135 and o(3). 3105 Let j = -97 - -421. Calculate the common denominator of (j/90)/(1 - (-2)/(-8)) and -32/7. 35 Let n(b) = -b**3 + 12*b**2 - 21*b + 1. Calculate the common denominator of 41/49 and n(4). 49 Calculate the smallest common multiple of 13/(-39)*(-258 - (-12)/4) and 153. 765 Let f = 32 + -21. Let v(p) = -p**3 - p**2 - p + 2. Let n be v(0). Suppose -r + n = -5. Calculate the least common multiple of f and r. 77 Let i = 44123/20 + -2200. Calculate the common denominator of -45/8 and i. 40 Let h be 4 + 1*(3 + -4). Suppose 46 = 2*r + h*r - 2*q, 28 = 5*r + 4*q. Suppose -4*v - 2*v = -12. Calculate the least common multiple of v and r. 8 Suppose 52 = 3*v - 74. What is the lowest common multiple of 42 and v? 42 Let a(s) = -s**2 + 6*s - 7. Let p be a(5). Let t be p/3 + (-34745)/24900. Let j = -1/83 - t. What is the common denominator of 43/10 and j? 20 Let y(s) = -65*s**2 + 1. Let q be y(3). Calculate the common denominator of (q/36)/((-2)/3) and 1*315/(-4)*(-6)/75. 30 Suppose 2 = -m - m. What is the least common multiple of 2 and (3 - m/1)*21*1? 84 Suppose 3*f - 4*c - 14 = 0, -14*f + 5*c + 13 = -11*f. What is the smallest common multiple of f and 12? 12 Suppose 0 = q + 5*d - 44, -5*q = 3*d - d - 266. Let h = q - 42. What is the smallest common multiple of 4 and h? 12 Calculate the common denominator of (-76 + 2)*(-1)/(-12) and 102/(-8)*(-4)/(-5)*715/6435. 30 Calculate the least common multiple of ((-24)/(-60))/(2/135) and 99. 297 Suppose 2*n + 3*y + 16 = -6, -4*n - 3*y = 44. Find the common denominator of n/3*((-108)/(-56))/(-9) and 137/48. 336 Suppose 78 = -y + 119. Calculate the least common multiple of 8 and y. 328 Let r = 14715 + -1957145/133. Let o = r + 132/19. What is the common denominator of -3/5 and o? 35 Find the common denominator of (-1953)/280 + 7 + (-6)/18 and -103/48. 240 Suppose -30 + 92 = 2*p. Suppose -4*z + p = 5*v, -z + 0*v - 5 = -3*v. Calculate the lowest common multiple of 66 and z. 132 Let f(z) = -6*z + 25. Let u be f(5). Calculate the common denominator of ((-219)/(-15))/(u/((-100)/848)) and 107/20. 1060 What is the common denominator of 63/10 and (-29)/(-6) - 0 - (4 - 2)? 30 Let j = 14 + -10. Suppose j*m = -0 + 12. What is the lowest common multiple of 42 and m? 42 Let x = 2527 - 45557/18. Let a(q) = -2*q + 2. Let d be a(9). What is the common denominator of x and ((-4)/(-10))/(d/620)? 18 Let g be 132/(-24) + (-2)/4. Let b be (-2645793)/(-432) - 1/g. Let i = -6131 + b. What is the common denominator of i and -49/2? 16 Suppose -2*b = -s + 95, -18*b + 19*b + 4*s + 34 = 0. Let m = 1/88773 + 1351319/295910. Let o = m + -9/10. Find the common denominator of b and o. 3 Let j = 108 + 87. Calculate the common denominator of 2/j*-44 - (-29)/(-87) and 119/6. 390 Suppose 72 = 4*l - 60. Let m = l + -25. Calculate the least common multiple of 22 and m. 88 Let w(h) be the third derivative of h**5/60 + 13*h**4/24 - 7*h**3/3 + 40*h**2. Calculate the smallest common multiple of 42 and w(-15). 336 Let s(h) = 5 + 7*h - 1 + 1 - h**2 + 0. Suppose -2*x = -3*d + 26, -2*d - x - 1 = -16. Calculate the least common multiple of s(7) and d. 40 Suppose 24 = 2*i - 3*f, -5*i - 3*f = -7*f - 67. What is the common denominator of 318/(-80) - 6/i and (33/(-8))/(4 + -6)? 16 Let n = 3722 + -70734/19. Let u = -785 - -5508/7. Calculate the common denominator of n and u. 133 Suppose 5*g - 43710 - 14930 = 0. Let p be (g/20)/(4/(-20)). Let q = 14608/5 + p. Calculate the common denominator of q and -11/8. 40 Let t = 3793457/10 + -377260. Let x = t + -2074. Find the common denominator of x and -17/110. 110 Suppose 6*s = -3*o + s + 25, -3*o + 3*s + 9 = 0. Suppose 35 = 10*z - o*z. Suppose -60 = t - z*t. Calculate the smallest common multiple of 20 and t. 20 Let g = 13 - -31. Let a = 2 - g. Calculate the least common multiple of 6*(-7)/(a/4) and 20. 20 What is the lowest common multiple of -1 + 0 - -91 - (156 + -156) and 15? 90 Let m = 33/2065
{ "pile_set_name": "DM Mathematics" }
-6*b**2 + 24*b - 2. Calculate -g(n) + x(n). 15*n**2 - 24*n + 1 Let p(d) = -2*d**3 - d**2 - 3*d + 1. Let u(l) = -10*l**3 - l**2 - l + 2. Calculate p(q) - u(q). 8*q**3 - 2*q - 1 Let o(b) = -270027*b**2 + 548*b - 2192. Let k(j) = -2466*j**2 + 5*j - 20. Calculate -548*k(d) + 5*o(d). 1233*d**2 Let z(x) = 9*x + 1. Let r(f) = -19*f - 3. Let s(q) = -q**2 + 15*q - 21. Suppose b = -3*o + 4, -4*b + 1 = -3*o - 60. Let k be s(b). What is k*z(a) + 2*r(a)? 7*a - 1 Let o(i) = 5894*i**3 + 34*i**2 - 6*i. Let j(c) = -1965*c**3 - 12*c**2 + 2*c. Determine 17*j(a) + 6*o(a). 1959*a**3 - 2*a Let g(n) = 836*n + 165. Let o(l) = 834*l + 206. Determine 5*g(m) - 4*o(m). 844*m + 1 Let p = 324 + -320. Suppose -15 = r + p*r. Let j(a) = -2*a**2 + 7*a + 7. Let m(g) = g**2 - 3*g - 3. Calculate r*j(n) - 7*m(n). -n**2 Let j(a) = a**3 + 6*a**2 + 6. Let t(i) = 19*i**3 + 7*i**2 + 27. Let p(w) = -4*w**3 + w**2 - 4. Let z(n) = 4*p(n) + t(n). Calculate -11*j(h) + 6*z(h). 7*h**3 Let q(n) = -1042532*n**2 + 1841*n - 3682. Let k(f) = 2833*f**2 - 5*f + 10. Calculate -1841*k(d) - 5*q(d). -2893*d**2 Let z(v) = -49*v**3 + 13*v**2 - 211*v. Let p(n) = -8*n**3 + 2*n**2 - 35*n. Determine -13*p(q) + 2*z(q). 6*q**3 + 33*q Let r(h) = -125*h**2 - 1850*h + 17. Let d(z) = 44*z**2 + 616*z - 6. Calculate -17*d(y) - 6*r(y). 2*y**2 + 628*y Let g(k) = 10*k**3 + 195*k**2 - 11*k - 11. Let q(c) = -c**3 - 3*c**2 + c + 1. Determine 4*g(l) + 44*q(l). -4*l**3 + 648*l**2 Suppose 378 - 1616 = -619*j. Let z(i) = 10*i. Let t(f) = -20*f + 1. Give j*t(b) + 5*z(b). 10*b + 2 Let o(n) = 11*n - 3178. Let p(d) = 26*d - 6361. Give -7*o(y) + 3*p(y). y + 3163 Let m(p) = -2*p**3 + 78*p**2 + 4*p - 12. Let c(i) = -6*i**3 + 236*i**2 + 14*i - 37. Calculate 2*c(r) - 7*m(r). 2*r**3 - 74*r**2 + 10 Let u(b) = 57*b**2 - 51*b - 5. Let y(i) = 56*i**2 - 59*i - 6. Determine -6*u(t) + 5*y(t). -62*t**2 + 11*t Let l(t) = 12*t**2 + 20 + 48*t**3 - 12*t**2 - 12*t - 8*t. Let f(b) = -7*b**3 + 3*b - 3. Suppose r = 5*x + 57 - 35, 4*x = 3*r - 11. What is r*l(g) - 20*f(g)? -4*g**3 Let p(c) = 5*c**3 - 7*c**2 - 3*c - 3. Let a(g) = 3934*g**3 - 3923*g**3 - 48*g - 1 - 5 + 41*g - 1 - 15*g**2. Suppose 2*h = -2*h - 12. Give h*a(i) + 7*p(i). 2*i**3 - 4*i**2 Let s(x) = 7700*x**2 - 462*x - 462. Let k(q) = 3*q**2 - q - 1. Give -462*k(r) + s(r). 6314*r**2 Let k(o) = -79*o - 81*o + 5 - 9 + 155*o. Let z(h) = 1. Let n = 36 - 37. Calculate n*k(y) - 4*z(y). 5*y Let z be -5*(1 + 1)/(-2). Let t(v) be the first derivative of 8*v**3/3 - 170. Let q(j) be the first derivative of -j**3 + 1. Determine z*t(o) + 14*q(o). -2*o**2 Let w(i) = 3*i**2 + 1. Let n = -30912 + 30915. Let d(b) = -3 + 3 - 2*b**2. Give n*w(h) + 4*d(h). h**2 + 3 Let k(a) = a**3 + 6*a**2 + 8*a - 4. Let m(h) be the third derivative of -h**6/120 - h**5/12 - 7*h**4/24 + h**3/2 + 8435*h**2. What is 5*k(r) + 6*m(r)? -r**3 - 2*r - 2 Let s = 18 - 3. Let w(f) = 26 + s + f**2 - 32. Let r(m) = -4. Determine 9*r(j) + 4*w(j). 4*j**2 Let h(j) = j**2 + 4*j**2 + 5*j**2 + 2*j - 13*j**2 + 2*j**2 + 3. Let c(z) = -2*z**2 - z. Let u(d) = d**2. Let i(s) = c(s) + 3*u(s). Give -h(r) - 2*i(r). -r**2 - 3 Let g(h) be the second derivative of h**3/2 - 4*h**2 - 11*h - 24. Let i(l) be the first derivative of -l**2/2 + l - 10. Give -g(r) - 6*i(r). 3*r + 2 Let m(x) = -2*x**3 - 20*x**2 + 1010*x - 9. Let f(s) = -s**3 - 11*s**2 + 504*s - 5. Give 11*f(l) - 6*m(l). l**3 - l**2 - 516*l - 1 Let u(w) = 5*w - 7. Let l(y) = 126*y - 36. Give 3*l(f) - 15*u(f). 303*f - 3 Let f(n) be the second derivative of -n**4/12 + n**3 - 8*n + 2. Let o(a) = 2*a. Suppose 49 = -22*i - 83. Give i*o(k) + 2*f(k). -2*k**2 Suppose -141 = -511*l - 169 - 483. Let p(a) = -a**2 - 6*a + 6. Let g be p(-6). Let k(u) = 3*u**2 - 2*u - 5. Let w(c) = -1. Determine g*w(j) + l*k(j). -3*j**2 + 2*j - 1 Let b(j) = -2*j + 5. Let f(w) be the first derivative of -2*w**2 + 11*w - 2154. Calculate 9*b(s) - 4*f(s). -2*s + 1 Let t(q) = -116*q**3 + 27*q**2 + 8. Let s(h) = 58*h**3 - 12*h**2 - 5. Calculate 9*s(p) + 4*t(p). 58*p**3 - 13 Let s(m) = 231*m**3 - 7*m**2 - m - 5. Let i(q) = -2*q**2 - 2. Give 4*i(o) - s(o). -231*o**3 - o**2 + o - 3 Let h(v) = -v**3 - v**2 + 1. Let x(u) = -8*u**3 - 7*u**2 - 2*u + 6. Let g be (578/4 - -3)*24/30. Suppose -g = -12*p - 106. Calculate p*x(w) - 6*h(w). -2*w**3 - w**2 - 2*w Let z(l) = -69*l - 2 + 68*l + 2. Let x(k) = -2*k - 1. Let t be (-15)/(-10)*(74/6 + -3). Let v = 15 - t. What is v*x(h) - 3*z(h)? h - 1 Let d(f) = -18*f - 11. Let n(r) = -54*r - 32. Let o(q) = 11*d(q) - 4*n(q). Let u(b) = 9*b + 4. Determine 4*o(w) - 7*u(w). 9*w Let n(t) = -5*t. Let u(j) = 155*j + 45. Let s(b) = -7*b - 2. Let x(a) = 45*s(a) + 2*u(a). Let v = -2834 + 2837. Give v*x(z) - 4*n(z). 5*z Suppose 161*z = 157*z - 64. Let f(w) be the third derivative of -w**4/4 + w**3/3 - 36*w**2. Let u(m) = -18*m + 6. Calculate z*f(x) + 5*u(x). 6*x - 2 Let t be (-20)/25 - (-63)/(-15). Let g(j) = -2*j - 19. Let s be g(-11). Let b(u) = -9*u**s + 3*u**2 - 4*u**2 + u**2. Let q(w) = -w**3. Calculate t*q(r) + b(r). -4*r**3 Let k(q) = -7*q. Let g be (-13 + 25)*(-2)/6 - 5/(-1). Let b(l) = l + 4 - 1 - 2. Determine g*k(j) - b(j). -8*j - 1 Let v(x) = 8*x**3 + x**2 + 4*x + 4. Let i(z) be the first derivative of -9*z**4/4 - 3*z**2/2 - 3*z - 2513. Determine 4*i(u) + 3*v(u). -12*u**3 + 3*u**2 Let q(o) = 7*o**3 - o**2 - 2*o - 1. Let w(s) = -s**3 + s**2 + 1. Let t = 1513 - 1512. Give t*q(f) + w(f). 6*f**3 - 2*f Let a(n) = -2*n - 24. Let l(s) = 1. Let f be (1/7)/((-448)/9408). Determine f*l(x) + a(x). -2*x - 27 Let f(a) = 5032850*a. Let o(n) = 2605*n. Determine -3*f(l) + 5797*o(l). 2635*l Let c(w) = -23*w**2 + 39. Let j(n) = -2471*n + 1218*n - 8*n**2 + 1253*n + 13. Calculate 6*c(l) - 17*j(l). -2*l**2 + 13 Let a(w) = w**3 + 210*w**2 - 16*w - 23. Let v(m) = -50*m**2 + 4*m + 5. Calculate 2*a(h) + 9*v(h). 2*h**3 - 30*h**2 + 4*h - 1 Let c(u) = -173*u + 4*u**3 - 145*u - 6*u**3 + 7 + 7*u**2 + 333*u. Let y(m) = -m**3 + 3*m**2 + 8*m + 3. Determine -3*c(x) + 7*y(x). -x**3 + 11*x Let b(k) = 4*k**2 + 2*k - 1. Let l(x) = -2*x**2 - x. Suppose 0 = -10*h + 39*h - 87. Suppose 0 = -h*p + 34 - 49. Calculate p*l(v) - 2*b(v). 2*v**2 + v + 2 Let p(s) = 5*s**3 - 4*s**2 + 4. Let x(w) = -6 + 6*w - 2*w**2 + 13 + 0*w**2 + 5*w**2. Let m be x(-1). Let z(t) = -4*t**3 + 4*t**2 - 3. What is m*z(j) + 3*p(j)? -j**3 + 4*j**2 Let f(l) = -2*l**3 - 4*l**2 + 2181*l + 4. Let a(m) = -2*m**3 - 5*m**2 + 2193*m + 5. Determine -4*a(x) + 5*f(x). -2*x**3 + 2133*x Let a(h) = -5*h**2 - 20 - 596525*h**3 + 12 + 596519*h**3. Let w(f) = 2*f**3 + 2*f**2 + 3. Calculate 3*a(m) + 8*w(m). -2*m**3 + m**2 Let v(m) be the first derivative of -7*m**2/2 - 2*m + 1561. Let z(p) be the third derivative of 9*p**4/8 + 3*p**3/2 - 5*p**2. What is 9*v(d) + 2*z(d)? -9*d Let u(g) = -48 - 48 - 47 - 40 + 182. Let t(n) = 22*n**2 - 3. What is t(f) - 5*u(f)? 22*f**2 + 2 Let n(d) be the first derivative of 3*d**2/2 - d + 978. Let w(b) = b**3 + 13*b - 5. Suppose -5*f - t - 42 = -0*t, 0 = -f + 2*t - 15. Determine f*n(h) + 2*w(h). 2*h**3 - h - 1 Let m(o) = 50*o**2 + 5*o. Suppose 0 = w + 5*g + 35, -3*w + 121 = 2*g + 148. Let u(k) = 75*k**2 + 7*k. Give w*u(z) + 7*m(z). -25*z**2 Let r(o) = -2*o + 9. Suppose 0*t = -2*t + 88. Suppose -2*b + 3*n = 12, -t*b - n + 17 = -49*b. Let p(y) = y - 5. Give b*r(i) - 5*p(i). i - 2 Let c(h) = -3*h**2 - 6*h - h**2 + 5*h**2 + 42 - 25 - 6*h**2. Let w(t) = -4*t**2 - 5*t + 17. Determine 5*c(o) - 6*w(o). -o**2 - 17 Let g(d) = -214*d**3 - 25*d**2 + 3*d - 4. Let i(a) = 401*a**3 + 49*a**2 - 5*a + 7. Calculate 15*g(h) + 8*i(h). -2*h**3 + 17*h**2 + 5*h - 4 Let v(f) = 3*f**2 + 6*f + 539. Let b(j) = j. Determine 5*b(y) - v(y). -3*y**2 - y - 539 Let b(p) = -21*p**2 + 3*p - 6. Let d(u) = -3*u - 12. Let q be d(-3). Let a(r) = -7*r**2 + r - 2. Determine q*b(g) + 8*a(g). 7*g**2 - g + 2 Let q(k) = k + 6. Let a(c) = -1. Let w = -57 + 49. Let d be w/68 + (-2136)/51. Let y be (d/18 + 2)/((-1)/(-15)). What is y*a(f) - q(f)? -f - 1 Let s(o) = 18*o - 5. Let k(x) = -19*x + 6. Let a = 7104 + -7107. What is a*k(v) - 4*s(v)? -15*v + 2 Let c(s) = 30*s**2 - 83*s - 8. Let g(j) = -27*j**2 + 81*j + 7. Give -4*c(r) - 5*g(r). 15*r**2 - 73*r - 3 Let q = 5 - 9. Let r(l) = 6*l**2 + 1. Let n(o) = 345*o**2 - 11660*o - 55. Let c(a) = 25*a**2 - 848*a - 4. Let v(d) = 55*c(d) - 4*n(d). What is q*r(z) - 5*v(z)? z**
{ "pile_set_name": "DM Mathematics" }
)/(-1*(-1*sqrt(5) - sqrt(5)) - sqrt(5)). 0 Simplify (5 + sqrt(17) + -1 - sqrt(17))**2*-2*-1. 32 Simplify (-6*(sqrt(152) + (-1*sqrt(152) - sqrt(152)) + sqrt(152)))/sqrt(8). 0 Simplify 3 + 6*(2 + (sqrt(17) - (1 + sqrt(17) + -2))**2). 21 Simplify (-1 + sqrt(19) + -1)*-5 + -4. -5*sqrt(19) + 6 Simplify (sqrt(3) + -2 + 4)*-5. -10 - 5*sqrt(3) Simplify sqrt(7)*-1*-2*-4. -8*sqrt(7) Simplify (4*-1*sqrt(117))/((-2*sqrt(9) + sqrt(9))*1). 4*sqrt(13) Simplify sqrt(15)/(sqrt(27)/(sqrt(9)*1)). sqrt(5) Simplify (sqrt(153)/(1*sqrt(9)) + 5)*-1. -5 - sqrt(17) Simplify sqrt(20)/(sqrt(196)*1). sqrt(5)/7 Simplify -5 + sqrt(35)/sqrt(5) - (sqrt(448) + 1 - sqrt(7)). -6*sqrt(7) - 6 Simplify 5*-2*(sqrt(242)*2 + sqrt(242))**2*4. -87120 Simplify -3 + 1 + (sqrt(1573) + (1*sqrt(1573) - sqrt(1573)))**2 + 1. 1572 Simplify (-5 + -2*sqrt(1573))**2. 220*sqrt(13) + 6317 Simplify ((sqrt(70)/sqrt(2))/sqrt(7) + 4)**2. 8*sqrt(5) + 21 Simplify 4 + (((sqrt(84) + -1*sqrt(84))/sqrt(12) + sqrt(7) - sqrt(7))**2 - sqrt(7)). -sqrt(7) + 4 Simplify 2*(sqrt(20))**2 + (sqrt(30) + sqrt(750) + sqrt(30))/sqrt(6). 7*sqrt(5) + 40 Simplify (sqrt(12) + sqrt(12)*1 + sqrt(3))*-6 + 0. -30*sqrt(3) Simplify -2 + 1*sqrt(304) - (sqrt(304)*2 + 1). -4*sqrt(19) - 3 Simplify ((sqrt(325) + sqrt(325) + sqrt(325) + -2 + sqrt(325))*-3)**2. -720*sqrt(13) + 46836 Simplify (-6*2*sqrt(76))/sqrt(4). -12*sqrt(19) Simplify ((sqrt(3) - (sqrt(9)/sqrt(3) - sqrt(3))*4) + sqrt(27) + -1 - ((-2*sqrt(108) - sqrt(108) - sqrt(3)) + sqrt(24)/sqrt(72)))**2. -136*sqrt(3)/3 + 4627/3 Simplify (-1*(sqrt(32) - (sqrt(320)/sqrt(10) + sqrt(32))))**2. 32 Simplify (sqrt(25) - (sqrt(250) + -1*sqrt(250) - sqrt(250))/sqrt(10))/(sqrt(60)/sqrt(192)). 8*sqrt(5) Simplify 5*sqrt(135)/sqrt(5). 15*sqrt(3) Simplify (-5*(sqrt(539) + -1))**2. -350*sqrt(11) + 13500 Simplify sqrt(225)/(2*sqrt(5)). 3*sqrt(5)/2 Simplify ((sqrt(588)*2 + sqrt(588) + sqrt(588) - sqrt(12))/(2*sqrt(96) - sqrt(96)))**2. 729/8 Simplify (1 + 4 + (2 + sqrt(343) - sqrt(343)))**2. 49 Simplify sqrt(152)/(sqrt(80)/(sqrt(10)*2 + sqrt(10))). 3*sqrt(19) Simplify -2*sqrt(180) - sqrt(5) - (sqrt(5) + (1 + (sqrt(5) - (0 + sqrt(5))))**2). -14*sqrt(5) - 1 Simplify (4*-1*sqrt(170))/sqrt(10). -4*sqrt(17) Simplify 6*(-5 + (sqrt(44))**2 - sqrt(11) - sqrt(44)/(sqrt(4)*-1 - sqrt(4))). -3*sqrt(11) + 234 Simplify -5 + (-1*(sqrt(5) - (sqrt(5) + 2)))**2 + sqrt(320)*-2. -16*sqrt(5) - 1 Simplify sqrt(3520)/sqrt(5) + sqrt(132)/(sqrt(48) + sqrt(12)). 25*sqrt(11)/3 Simplify -3 + (-4*sqrt(2)*3)**2. 285 Simplify (sqrt(200) + sqrt(200)*-1)/sqrt(10). 0 Simplify 4*(1 + (sqrt(2) - (sqrt(162) + 1 - sqrt(162))))**2. 8 Simplify ((sqrt(245) + -2)**2 - sqrt(5)) + (1*sqrt(55))/sqrt(11) + 2. -28*sqrt(5) + 251 Simplify -5*(sqrt(1584) + 0)*-2. 120*sqrt(11) Simplify -4 + (sqrt(50) + sqrt(50) + 2 - sqrt(2)). -2 + 9*sqrt(2) Simplify ((sqrt(68) - (sqrt(68)*1 + sqrt(68)))/sqrt(4) + sqrt(153)/(sqrt(27)/sqrt(3)))*6. 0 Simplify 5 + (-1 + sqrt(1584))**2. -24*sqrt(11) + 1590 Simplify sqrt(22)/sqrt(2)*-1 + -5 + sqrt(11) + sqrt(11) + -1 - ((sqrt(66) - (sqrt(66)*1 - sqrt(66)))/sqrt(6))**2*3. -39 + sqrt(11) Simplify sqrt(13) + -3 + -2 - (sqrt(26)*-2)/sqrt(2). -5 + 3*sqrt(13) Simplify 4 + (sqrt(245) + 0)**2 + (sqrt(605) - (sqrt(605) + sqrt(605)*-1 + sqrt(605))*4). -33*sqrt(5) + 249 Simplify 3*(0 + (sqrt(17)*-1)**2 - -1*sqrt(1700)). 51 + 30*sqrt(17) Simplify -3*(sqrt(245) + (sqrt(245) - (sqrt(245) + 1 + 1*sqrt(245) + sqrt(245))))**2. -738 - 42*sqrt(5) Simplify -1*(sqrt(272) + -2) + -4. -4*sqrt(17) - 2 Simplify (((2*sqrt(264))/sqrt(12) + sqrt(22))/sqrt(2) + -3 + (sqrt(110)*-2 + sqrt(110))/sqrt(10))**2. -12*sqrt(11) + 53 Simplify sqrt(132)/(sqrt(60)/sqrt(5))*3. 3*sqrt(11) Simplify (5 + 1*(sqrt(5) + -3))**2. 4*sqrt(5) + 9 Simplify 2 + sqrt(72) + 5 - sqrt(72). 7 Simplify -3*(-6*1*sqrt(275)*2)**2. -118800 Simplify -1 + sqrt(2)*-2 - (sqrt(18) - 3*sqrt(18))/sqrt(9). -1 Simplify ((3 + -3 + sqrt(17) + 2)*-2)**2. 16*sqrt(17) + 84 Simplify sqrt(117)*1 + sqrt(13) + (-4*(2 + sqrt(13)))**2. 68*sqrt(13) + 272 Simplify sqrt(22)/(sqrt(11) + (sqrt(11) - (sqrt(275) + sqrt(275)*2 - sqrt(275)))). -sqrt(2)/8 Simplify (sqrt(1539) + 4*(sqrt(1539) + 1 + sqrt(1539)))**2. 648*sqrt(19) + 124675 Simplify 1*2*sqrt(700). 20*sqrt(7) Simplify (-2*(sqrt(700) - (-4 + sqrt(700) + -1 + sqrt(700))))**2. -400*sqrt(7) + 2900 Simplify (-1*sqrt(49)*-3)/(sqrt(7)*2*-6). -sqrt(7)/4 Simplify (((sqrt(156)*-2)/sqrt(6))/(sqrt(2) - -2*sqrt(162)) + 4)**2. -16*sqrt(13)/19 + 5828/361 Simplify 2 + -4 + sqrt(108). -2 + 6*sqrt(3) Simplify (sqrt(68)/sqrt(4)*4 + sqrt(17) - (sqrt(68)*3)/sqrt(4))**2. 68 Simplify (2 + sqrt(684) + -2)**2. 684 Simplify (sqrt(832) + (-2 + sqrt(832))*-4)**2. -384*sqrt(13) + 7552 Simplify (sqrt(24) - 2*sqrt(24)*-4)/(sqrt(32)/sqrt(4)*4 + sqrt(8)) + 3. 3 + 9*sqrt(3)/5 Simplify 5*(sqrt(75) - (2 + (sqrt(75) - (4 + sqrt(75))))**2). -20 + 25*sqrt(3) Simplify -2*sqrt(10)/sqrt(125). -2*sqrt(2)/5 Simplify 6*(1 + sqrt(700)). 6 + 60*sqrt(7) Simplify 2 + ((sqrt(704) - (-1*sqrt(704) - sqrt(704)) - sqrt(704))*6 + sqrt(704))**2*5. 594882 Simplify 5*(sqrt(98) + 0 + sqrt(98)). 70*sqrt(2) Simplify (3*sqrt(21)*-4)/sqrt(3). -12*sqrt(7) Simplify -3 + ((0 + sqrt(343))*-6)**2. 12345 Simplify (5*sqrt(99)*-5*3)**2. 556875 Simplify sqrt(51)/((sqrt(3) - 2*sqrt(3))*3)*-2. 2*sqrt(17)/3 Simplify -4*(1 + (sqrt(208) + -5)**2). -936 + 160*sqrt(13) Simplify sqrt(21)/sqrt(3)*-2 + sqrt(14)/sqrt(2) + 2. -sqrt(7) + 2 Simplify 6*(sqrt(5) + -3)*1. -18 + 6*sqrt(5) Simplify 3*(sqrt(125) + 2) - (((2 + sqrt(125))*3 - sqrt(125)) + sqrt(125)). 0 Simplify sqrt(21)/(sqrt(21)/sqrt(3)*1). sqrt(3) Simplify (sqrt(1575)*1*-4)**2*-1. -25200 Simplify (5 + -2*sqrt(1728))**2. -480*sqrt(3) + 6937 Simplify (-6*sqrt(57)/sqrt(3) - (-3 + sqrt(304) - sqrt(19))) + 0. -9*sqrt(19) + 3 Simplify (-5 + sqrt(51)/sqrt(3))*-6. -6*sqrt(17) + 30 Simplify sqrt(27) + -5 - (sqrt(72)/sqrt(4))/sqrt(6). -5 + 2*sqrt(3) Simplify ((sqrt(11) - (sqrt(11) + 1)) + 3 - -1*sqrt(11)*-5)**2 + 2. -20*sqrt(11) + 281 Simplify (sqrt(13) - sqrt(52)/sqrt(4)) + 4 + 3*sqrt(52)/sqrt(4). 4 + 3*sqrt(13) Simplify sqrt(117)/((sqrt(162) + sqrt(18))/sqrt(2)) + 3. sqrt(13)/4 + 3 Simplify (sqrt(3630) + -2*sqrt(3630))/(-6*(sqrt(6)*2 + sqrt(6))). 11*sqrt(5)/18 Simplify ((1 + sqrt(171))**2 - sqrt(19)) + ((sqrt(19) - sqrt(76))*-4 - sqrt(19)). 8*sqrt(19) + 172 Simplify (2*sqrt(252)*1 - (sqrt(252) - (sqrt(252) - sqrt(252)*-2))*-6)**2. 25200 Simplify (6*(-3 + sqrt(1100)*-1 + sqrt(1100)))**2. 324 Simplify ((-1*sqrt(176))**2*-6 + 3)*2. -2106 Simplify (sqrt(588)*2 + sqrt(588))/sqrt(4). 21*sqrt(3) Simplify (3 + ((3 + sqrt(13))*3 - (sqrt(468) + 2)))**2. -60*sqrt(13) + 217 Simplify (sqrt(5) + -4 + 3*sqrt(5))**2 + sqrt(980)/sqrt(4). -25*sqrt(5) + 96 Simplify 2 + -1*(sqrt(22)/sqrt(2))**2 + sqrt(66)/sqrt(54). -9 + sqrt(11)/3 Simplify (-6*(sqrt(17) + sqrt(17)*-1) - (2*sqrt(136))/sqrt(8))**2. 68 Simplify -6*(-1 + sqrt(7)*-1 + -1). 12 + 6*sqrt(7) Simplify -1*(-1 + sqrt(275) + -3)**2*-1. -40*sqrt(11) + 291 Simplify (sqrt(189)/(-1*sqrt(7)))/sqrt(9). -sqrt(3) Simplify 5 + -4*(sqrt(7) + (sqrt(175) + (sqrt(175) - (sqrt(175) - -2*sqrt(175))) - sqrt(175)) + sqrt(63)/(sqrt(27)/sqrt(3)))**2. -1787 Simplify (sqrt(66) - (1*sqrt(66)*3 + sqrt(66)))/(sqrt(6) + (2*sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(6)). -sqrt(11)/4 Simplify (sqrt(133)*-1*-5)/sqrt(7). 5*sqrt(19) Simplify (-2*sqrt(243) + -3 + sqrt(243) - sqrt(243)) + (sqrt(9) + (-2*sqrt(27))/sqrt(3))/sqrt(3). -19*sqrt(3) - 3 Simplify (sqrt(19) - (sqrt(1216)*3 + sqrt(19) - sqrt(19))**2 - sqrt(19)) + sqrt(152)/sqrt(2). -10944 + 2*sqrt(19) Simplify sqrt(38)/(2*(2*sqrt(2) + sqrt(2))). sqrt(19)/6 Simplify (-5 + -1 + sqrt(468) + 5)**2. -12*sqrt(13) + 469 Simplify sqrt(51)/(sqrt(3) + sqrt(15)/sqrt(5)) + -3*sqrt(1700) + 1. -59*sqrt(17)/2 + 1 Simplify -3*sqrt(99) - (2 + sqrt(11) + 1*sqrt(11)). -11*sqrt(11) - 2 Simplify -2 + sqrt(175) + -4 + (sqrt(7) - (sqrt(112))**2). -118 + 6*sqrt(7) Simplify 2 + sqrt(50) + 2 + sqrt(32). 4 + 9*sqrt(2) Simplify 5*(sqrt(567) - (sqrt(567) + (sqrt(567) + -1*sqrt(567))**2) - sqrt(567) - (sqrt(448) - (sqrt(448) + 1)))*1. -45*sqrt(7) + 5 Simplify -1*sqrt(171)*2 + -4*((-1*sqrt(171))**2 - sqrt(171)). -684 + 6*sqrt(19) Simplify (3*sqrt(8) - (sqrt(2) - (sqrt(50) + sqrt(2))*-2))**2. 98 Simplify 3 + -1*sqrt(76) + sqrt(76). 3 Simplify 4 + (-3*sq
{ "pile_set_name": "DM Mathematics" }
297 -12126.086 - 0.1876953 -12126.2736953 Add 306668 and -42431.89. 264236.11 3773 - -3823755171 3823758944 What is -159 take away 456697706066? -456697706225 Calculate 1506954414 - 705. 1506953709 What is 3697 plus 2932524577.4? 2932528274.4 What is 5267802 take away -69435? 5337237 Work out 0.38492 + -8510532660. -8510532659.61508 What is -7.892 take away 6456985? -6456992.892 What is -196383866 less than 165033? 196548899 0.39645101 - -198.8 199.19645101 Put together 24.6 and 0.0304569012244. 24.6304569012244 0.050734324592969 + 0.4 0.450734324592969 What is 0.130636943 less than -318444? -318444.130636943 What is -140191.7 plus -6.736603? -140198.436603 -0.025 - 0.075490325632 -0.100490325632 Work out -0.8 + -5103176.1299. -5103176.9299 What is -9803945798 + -62? -9803945860 Total of 303 and -5753927258. -5753926955 Sum 133 and -235439331. -235439198 What is -2319095373 plus -26648? -2319122021 What is -23.082 - 0.17936601587? -23.26136601587 Subtract -65000.4 from -1370.3656. 63630.0344 Work out 316194824 + 24711. 316219535 Put together 0 and 978571007754. 978571007754 -0.3 - -112306505622 112306505621.7 What is -0.2 plus -2669753.27462? -2669753.47462 What is -10.428 take away 168509.36? -168519.788 Sum -50951174.97 and -0.545. -50951175.515 What is -0.01 less than 550298812.815? 550298812.825 Subtract 948025425896.8 from 0. -948025425896.8 What is 796763.8296075 - 23? 796740.8296075 -8392.6+-0.05261103 -8392.65261103 What is 516217916 take away -0.903? 516217916.903 Work out -254753.7 + 35300064. 35045310.3 What is 0.8 minus 1722146097? -1722146096.2 What is 26588 - 6288376? -6261788 Calculate 1215 + -1986841884. -1986840669 What is -0.3 plus 58.46392118293? 58.16392118293 Put together 0.1094 and -33679855.5. -33679855.3906 -271574 + -4964578 -5236152 What is -70418655115 - -228? -70418654887 Put together 1 and -22770298590886. -22770298590885 What is 2161487000381 + -0.7? 2161487000380.3 Calculate 51969553 + 359813. 52329366 30.83+338436.95 338467.78 Work out -0.25 - 1641212366. -1641212366.25 What is 0.13699 minus 0.5755776922? -0.4385876922 -0.6 + -506396602725 -506396602725.6 What is 118572282 + -58375? 118513907 Calculate -14448537 - -124254. -14324283 Calculate -0.407284 - -354112.118. 354111.710716 Work out -17511.257831 + -308. -17819.257831 What is 938 + 124084680? 124085618 Work out -8978.198 - -126495. 117516.802 What is -950127366613 minus -0.06? -950127366612.94 -440665418454 - 0.5 -440665418454.5 Subtract 2664242 from 433.24. -2663808.76 Work out -0.123819038 - 0.0396. -0.163419038 Work out -613957 - 12811122. -13425079 What is the distance between -623 and 0.0406775238? 623.0406775238 What is -2 take away 1155840139968? -1155840139970 Add -0.364 and 24940453.5. 24940453.136 What is -47601018.6 minus -811? -47600207.6 What is 96674.1582 take away 0.081822? 96674.076378 Work out 13.28261443 + 6.3. 19.58261443 Calculate 460.1 - -1170810318. 1170810778.1 Subtract -2 from -47038808061555. -47038808061553 What is 783.782081363 plus 4? 787.782081363 Work out -0.03 + 32.4087491. 32.3787491 What is 0.05102479 + -3.75665? -3.70562521 What is -11 plus 2569325605.007? 2569325594.007 Sum -0.836 and -0.52078585. -1.35678585 What is the difference between -107.707388 and 3020? 3127.707388 Total of -3.497 and -28433080. -28433083.497 Sum -3.8988191043 and 1. -2.8988191043 18684335 - 55107 18629228 -1011.8398 + 386.73 -625.1098 Total of -2083 and 3.3257248. -2079.6742752 What is -76130827389 minus -0.13? -76130827388.87 Put together -0.3 and 1652.7687470891. 1652.4687470891 Subtract -3485.75 from 74218.19. 77703.94 Add together 789.67939676 and 0.5. 790.17939676 What is -2250 minus -1594839886.8? 1594837636.8 -5.1+-3.368854419 -8.468854419 Work out -166473027208 - 1.225. -166473027209.225 Work out 0.1204659 + 140.7942. 140.9146659 15.4+138152963 138152978.4 Sum 41 and 174400482496. 174400482537 Work out -707961798 + 9021. -707952777 Put together 3126.237761 and -75.92. 3050.317761 What is 714628596514360 take away 0.2? 714628596514359.8 What is 2.38087 plus -145828029? -145828026.61913 Calculate 0.091496968 + 143969. 143969.091496968 -351278138972340 + -2 -351278138972342 What is -10799316.566 take away -1.8? -10799314.766 What is -15535.86 + -119021? -134556.86 What is -1 + -24451701230? -24451701231 What is -1.6 - 15498998284458? -15498998284459.6 What is 631504566757.21 plus 6? 631504566763.21 Work out -5343 - 18661705. -18667048 Sum -688381 and -2920956. -3609337 Work out 233475252 + 3.2506. 233475255.2506 What is 583997130 minus -1339? 583998469 What is -1808868117.392 plus 59? -1808868058.392 3 - 638193830231 -638193830228 Put together -5760284750.7 and 0.3. -5760284750.4 Put together 9906207206395 and -0.1. 9906207206394.9 Work out -43696054972004 - -2. -43696054972002 27158+7.5010954 27165.5010954 What is -141438749 plus 1033272? -140405477 Put together 0.042351238 and 121541. 121541.042351238 What is -32628.5006 - 36? -32664.5006 Sum 5729393703 and -3.55. 5729393699.45 -44391083032 + 210.8 -44391082821.2 Work out 692387806 - 13389. 692374417 What is 40 take away -120959590.002? 120959630.002 What is -27535815795 plus -0.24? -27535815795.24 Work out 2045352194518 + -0.4. 2045352194517.6 Calculate 230.03459 + 6603.0745. 6833.10909 Put together -1091394161.082 and 0.07. -1091394161.012 What is -31642183.955 take away 256.4? -31642440.355 What is -6.705597791016 + 166? 159.294402208984 Total of 6868616.8139 and 7. 6868623.8139 What is -7.701 less than 0.21300131139? 7.91400131139 42114.5624 - -20385 62499.5624 Work out 1 - -0.0344542712432. 1.0344542712432 Calculate 2154751207 - 193. 2154751014 What is 7822974297 plus 8? 7822974305 What is -10906 + -162637442? -162648348 Put together -348.8467422 and 0.226. -348.6207422 What is -0.7256585937 minus 5.74? -6.4656585937 4379 + 1078062871 1078067250 Add together 780363322321 and 1. 780363322322 What is the distance between -0.3 and -98860632462? 98860632461.7 Sum 0.2 and 101962563777133. 101962563777133.2 What is -15 less than -189120.5267? -189105.5267 What is -107471097.593 take away 0.03? -107471097.623 What is the distance between 2349.38 and -14887144? 14889493.38 -0.3428855 - 30776502 -30776502.3428855 Total of -527711 and -1973.78. -529684.78 What is -324.65 - 23.1242? -347.7742 -17106 + 741250104 741232998 What is 301 - 11646092701? -11646092400 What is the distance between 412933409365 and -216? 412933409581 -80555595.9 - -1618 -80553977.9 Total of 4196880586 and 8720. 4196889306 Sum 32041 and 213.2147747. 32254.2147747 -0.2576304 + 0.56568788 0.30805748 -7078.797094+287.28 -6791.517094 Total of 55 and -13023163355718. -13023163355663 What is the difference between -1 and 96104847424638? 96104847424639 What is 0.6 - 482.2864923? -481.6864923 What is -1.462977356 plus 124910? 124908.537022644 What is -161 - 723.459103? -884.459103 Total of -0.0255171959 and -3450. -3450.0255171959 Subtract 1680932694.9644 from -0.5. -1680932695.4644 What is -2.003713787 + -0.27? -2.273713787 What is -101.05 minus 17852025074? -17852025175.05 What is -0.3 take away -5154571417871? 5154571417870.7 Sum 2 and 8882199077563. 8882199077565 Subtract 0.2952475897546 from -27. -27.2952475897546 What is 24431126 plus 5.614? 24431131.614 3387456703+9487 3387466190 What is 276053755.5 - 501? 276053254.5 Calculate -1342525958 - -68. -1342525890 What is 0.083967 + 0.20721975? 0.29118675 -17095352 - -1219889 -15875463 What is -3.0620811 - 1096? -1099.0620811 Sum -0.6 and 39272084826. 39272084825.4 27.5276 - 42895095 -42895067.4724 What is -31106171159 - 26350? -31106197509 What is 106629 - 146.96509? 106482.03491 Add 723.5 and -176471.72969. -175748.22969 What is 5.2254 minus -113367344? 113367349.2254 Add 2030 and -206030994381. -206030992351 Total of -491379 and -3.0957539. -491382.0957539 Add together -8.029745 and 15941740. 15941731.970255 Put together 765905909248786 and 4. 765905909248790 13987658556 + -248 13987658308 Total of -0.8 and -46318682070. -46318682070.8 -3751390.557+642 -3750748.557 Calculate -39153474.213 + 306. -39153168.213 What is 496567 less than 84.595137? -496482.404863 What is -55498902919 + -3295? -55498906214 Put together 0.39 and 512262.50435. 512262.89435 Calculate -2 + -36.91
{ "pile_set_name": "DM Mathematics" }
there between 9:50 PM and 11:33 PM? 103 What is 130 minutes before 9:10 PM? 7:00 PM How many minutes are there between 8:52 PM and 2:33 AM? 341 What is 323 minutes before 7:28 AM? 2:05 AM How many minutes are there between 2:23 PM and 10:44 PM? 501 How many minutes are there between 11:56 PM and 11:45 AM? 709 What is 71 minutes after 10:27 AM? 11:38 AM What is 341 minutes after 7:16 PM? 12:57 AM How many minutes are there between 3:01 AM and 12:25 PM? 564 How many minutes are there between 11:35 PM and 5:17 AM? 342 What is 120 minutes before 6:54 AM? 4:54 AM How many minutes are there between 11:11 PM and 11:51 PM? 40 What is 10 minutes before 2:35 AM? 2:25 AM What is 421 minutes before 7:57 AM? 12:56 AM How many minutes are there between 3:51 PM and 12:19 AM? 508 How many minutes are there between 6:28 PM and 8:11 PM? 103 How many minutes are there between 12:32 PM and 8:44 PM? 492 How many minutes are there between 2:15 PM and 1:30 AM? 675 What is 39 minutes after 1:24 AM? 2:03 AM How many minutes are there between 11:28 AM and 11:16 PM? 708 What is 526 minutes after 5:56 AM? 2:42 PM How many minutes are there between 3:44 PM and 4:23 PM? 39 How many minutes are there between 5:34 PM and 7:18 PM? 104 What is 491 minutes after 5:23 PM? 1:34 AM What is 20 minutes before 3:00 PM? 2:40 PM What is 25 minutes after 3:19 PM? 3:44 PM What is 6 minutes before 8:36 AM? 8:30 AM How many minutes are there between 3:02 AM and 7:06 AM? 244 How many minutes are there between 4:16 PM and 6:40 PM? 144 What is 386 minutes before 5:52 PM? 11:26 AM How many minutes are there between 4:30 AM and 8:34 AM? 244 What is 103 minutes after 5:21 AM? 7:04 AM What is 387 minutes after 7:25 AM? 1:52 PM What is 558 minutes after 3:52 AM? 1:10 PM How many minutes are there between 2:40 AM and 7:44 AM? 304 How many minutes are there between 5:41 AM and 7:22 AM? 101 What is 454 minutes after 5:17 PM? 12:51 AM How many minutes are there between 1:32 AM and 10:16 AM? 524 How many minutes are there between 2:11 PM and 3:20 PM? 69 How many minutes are there between 5:10 AM and 3:51 PM? 641 How many minutes are there between 2:42 PM and 12:23 AM? 581 What is 115 minutes after 3:49 AM? 5:44 AM What is 710 minutes after 10:05 PM? 9:55 AM What is 636 minutes after 4:33 AM? 3:09 PM How many minutes are there between 10:26 PM and 7:16 AM? 530 What is 514 minutes before 2:05 PM? 5:31 AM What is 517 minutes after 2:34 AM? 11:11 AM How many minutes are there between 5:55 PM and 11:16 PM? 321 What is 473 minutes before 9:11 PM? 1:18 PM How many minutes are there between 2:23 PM and 10:57 PM? 514 What is 20 minutes before 3:43 AM? 3:23 AM How many minutes are there between 1:34 PM and 9:59 PM? 505 What is 399 minutes after 4:54 AM? 11:33 AM What is 67 minutes after 9:32 AM? 10:39 AM How many minutes are there between 4:09 AM and 2:40 PM? 631 How many minutes are there between 10:49 AM and 3:35 PM? 286 How many minutes are there between 7:32 PM and 8:22 PM? 50 What is 623 minutes before 12:16 PM? 1:53 AM How many minutes are there between 10:53 AM and 1:54 PM? 181 How many minutes are there between 9:26 PM and 9:51 PM? 25 What is 39 minutes after 4:51 AM? 5:30 AM What is 211 minutes before 1:26 PM? 9:55 AM What is 394 minutes after 2:42 AM? 9:16 AM How many minutes are there between 3:58 AM and 3:37 PM? 699 What is 677 minutes after 12:12 PM? 11:29 PM How many minutes are there between 4:33 AM and 5:36 AM? 63 How many minutes are there between 3:02 AM and 2:22 PM? 680 How many minutes are there between 3:21 AM and 3:54 AM? 33 What is 578 minutes before 3:03 AM? 5:25 PM How many minutes are there between 7:24 PM and 8:24 PM? 60 How many minutes are there between 11:55 PM and 10:13 AM? 618 What is 503 minutes before 1:26 AM? 5:03 PM What is 618 minutes after 12:28 AM? 10:46 AM How many minutes are there between 5:36 AM and 2:16 PM? 520 How many minutes are there between 7:49 PM and 7:53 PM? 4 What is 207 minutes after 12:56 AM? 4:23 AM What is 627 minutes after 5:35 AM? 4:02 PM What is 401 minutes after 7:36 PM? 2:17 AM What is 706 minutes after 8:39 AM? 8:25 PM How many minutes are there between 10:11 PM and 10:38 PM? 27 How many minutes are there between 6:57 PM and 11:09 PM? 252 What is 324 minutes before 4:54 AM? 11:30 PM What is 132 minutes after 8:23 PM? 10:35 PM How many minutes are there between 6:18 PM and 7:18 PM? 60 What is 660 minutes before 5:02 AM? 6:02 PM What is 9 minutes after 4:18 PM? 4:27 PM What is 158 minutes after 2:34 PM? 5:12 PM What is 647 minutes after 7:56 PM? 6:43 AM What is 630 minutes before 2:22 AM? 3:52 PM What is 535 minutes before 1:23 PM? 4:28 AM How many minutes are there between 9:53 PM and 9:13 AM? 680 How many minutes are there between 6:32 AM and 7:14 AM? 42 What is 145 minutes after 6:24 AM? 8:49 AM What is 444 minutes after 10:27 AM? 5:51 PM What is 2 minutes before 9:05 PM? 9:03 PM How many minutes are there between 2:24 PM and 6:01 PM? 217 How many minutes are there between 10:22 AM and 4:28 PM? 366 How many minutes are there between 8:45 PM and 8:22 AM? 697 How many minutes are there between 7:46 PM and 7:01 AM? 675 What is 493 minutes after 12:31 PM? 8:44 PM How many minutes are there between 2:13 AM and 12:59 PM? 646 What is 254 minutes before 12:21 AM? 8:07 PM How many minutes are there between 4:18 PM and 1:36 AM? 558 How many minutes are there between 3:47 AM and 4:58 AM? 71 What is 430 minutes before 8:57 AM? 1:47 AM What is 136 minutes after 1:18 AM? 3:34 AM How many minutes are there between 8:10 PM and 7:27 AM? 677 How many minutes are there between 8:19 AM and 7:31 PM? 672 What is 305 minutes after 12:18 PM? 5:23 PM What is 154 minutes before 2:44 AM? 12:10 AM How many minutes are there between 7:17 AM and 12:17 PM? 300 How many minutes are there between 10:46 PM and 7:07 AM? 501 How many minutes are there between 11:49 AM and 9:02 PM? 553 What is 508 minutes before 3:22 AM? 6:54 PM What is 675 minutes after 1:23 AM? 12:38 PM How many minutes are there between 3:06 AM and 7:21 AM? 255 How many minutes are there between 4:34 PM and 6:56 PM? 142 What is 459 minutes before 7:22 AM? 11:43 PM How many minutes are there between 4:45 PM and 8:56 PM? 251 How many minutes are there between 11:47 AM and 2:33 PM? 166 What is 283 minutes before 4:40 AM? 11:57 PM What is 41 minutes after 4:49 PM? 5:30 PM How many minutes are there between 3:53 AM and 3:59 AM? 6 What is 507 minutes before 11:49 PM? 3:22 PM How many minutes are there between 12:36 AM and 9:28 AM? 532 What is 41 minutes before 9:56 PM? 9:15 PM What is 128 minutes after 3:36 AM? 5:44 AM What is 682 minutes after 4:30 PM? 3:52 AM What is 160 minutes before 9:59 AM? 7:19 AM How many minutes are there between 5:38 AM and 3:58 PM? 620 How many minutes are there between 4:45 AM and 9:00 AM? 255 How many minutes are there between 5:12 PM and 4:17 AM? 665 What is 482 minutes after 8:36 PM? 4:38 AM How many minutes are there between 4:19 PM and 7:50 PM? 211 How many minutes are there between 12:28 PM and 10:58 PM? 630 What is 655 minutes after 10:49 AM? 9:44 PM What is 643 minutes after 6:01 PM? 4:44 AM What is 11 minutes before 5:22 AM? 5:11 AM How many minutes are there between 5:34 AM and 8:13 AM? 159 How many minutes are there between 5:35 PM and 7:22 PM? 107 How many minutes are there between 8:40 AM and 1:35 PM? 295 How many minutes are there between 9:43 PM and 7:02 AM? 559 What is 303 minutes after 6:10 AM? 11:13 AM How many minutes are there between 2:03 PM and 9:50 PM? 467 What is 372 minutes before 2:23 PM? 8:11 AM How many minutes are there between 2:16 AM and 6:13 AM? 237 How many minutes are there between 6:37 PM and 12:22 AM? 345 How many minutes are there between 6:27 PM and 9:12 PM? 165 What is 547 minutes after 12:03 PM? 9:10 PM What is 457 minutes after 2:02 PM? 9:39 PM How many minutes are there between 1:42 AM and 4:10 AM? 148 What is 692 minutes before 8:33 AM? 9:01 PM What is 331 minutes after 2:48 PM? 8:19 PM How many minutes are there between 5:01 PM and 7:25 PM? 144 How many minutes are there between 7:21 AM and 2:30 PM? 429 How many minutes are there between 11:52 AM and 11:54 AM? 2 How many minutes are there between 6:42 PM and 2:50 AM? 488 What is 559 minutes aft
{ "pile_set_name": "DM Mathematics" }
f p? 9 Let s = -68 + 78. Suppose -12*q = -13*q + s. What is the units digit of q? 0 Let w be (-5)/(-5) + -2 - -3. Suppose -w*z + 2 = -0. What is the units digit of z? 1 Let v = -13 + 19. Suppose -v*d + 0*d + 204 = 0. What is the tens digit of d? 3 Suppose 339*i - 348*i + 3609 = 0. What is the tens digit of i? 0 Suppose 3*c + 1 = 10. Suppose 5*l - i - 91 = 0, -5*l - 2*i - c*i + 115 = 0. What is the tens digit of l? 1 Suppose 2*n - 69 = -n. Suppose 93 = 3*c - 0*c + 3*w, -31 = -c - 4*w. Suppose 0 = 5*p - t - n, 5*p - c = 4*t - 7*t. What is the units digit of p? 5 Let k(x) = x - 11. Suppose -6*n + n = -75. Let l be k(n). Suppose -w + 12 = -l*h - 0*h, 0 = 5*w + h - 123. What is the units digit of w? 4 Let q(t) = -t**2 + 5*t + 2154. What is the tens digit of q(0)? 5 Suppose 12*b - 15 = 7*b. Suppose -438 = -b*h - 3*h. Let o = h - 37. What is the tens digit of o? 3 Let c = -37 + 12. Let l = c + 28. What is the units digit of (-21 + -2)/(l/(-9))? 9 Suppose 2*i + 5*o - 15 = -0*i, -5*i + 2*o = -23. Suppose 2*h - 8 = 0, 5*h + 373 = -i*f + 8*f. What is the hundreds digit of f? 1 What is the hundreds digit of (-28)/1*((-48)/6 - 122)? 6 Let v(s) = 46*s + 15*s - 10*s + 4. What is the units digit of v(3)? 7 Let f(k) = -k**3 + 8*k**2 + 5. Let v be f(8). Suppose 0 = 7*a - 2*a + 3*x - 165, x = -4*a + 125. What is the units digit of (v/2 + -2)*a? 5 What is the hundreds digit of ((-9)/72*-8)/((-4)/(-10052))? 5 Let t be 2 + (-7 - (0 - 3)). What is the tens digit of (-1120)/(-18) + t/9? 6 Let g(n) = -n**3 + 17*n - 15. Let t be 5/(75/(-96)) + 12/(-20). What is the tens digit of g(t)? 0 Let y(c) = c**3 - 4*c + 1. Let h be y(-2). Let j(w) = 190*w**3 - w + 1. What is the units digit of j(h)? 0 Suppose 2 - 6 = -a, 0 = -2*h - 2*a + 14. Suppose -h*u - t = 49 - 184, u - 37 = -3*t. What is the tens digit of u? 4 Let i = 1 - 23. What is the units digit of i - -18 - (-67 + -1)? 4 Suppose 2*y - 14 = -5*y. Suppose 4*p + b = 489, -y*b + 232 = 2*p - 20. What is the tens digit of p? 2 Let f(k) = -292*k + 319. What is the tens digit of f(-7)? 6 Let u(p) be the first derivative of p**4/24 + 13*p**3/6 + 7*p**2/2 - 12. Let o(j) be the second derivative of u(j). What is the units digit of o(19)? 2 Suppose 514 = 4*k - t - t, -5*t = 5*k - 605. What is the units digit of k? 6 Let a = 23 + -19. Suppose -4*d + 55 = 3*y - 2, -a*d + 63 = -3*y. What is the units digit of d? 5 Let n be (1 - (-4)/(-3))*0. Suppose -4*t + 8 = -n*t. Suppose -110 - 50 = -4*p + 4*y, t*p + 4*y = 50. What is the units digit of p? 5 Let l = 5463 + -1727. What is the thousands digit of l? 3 What is the hundreds digit of 8275/5 + (10 - 19)? 6 Let h = 112 - -46. Let w = h + -104. Let y = w + -33. What is the tens digit of y? 2 Suppose 155 = 2*k - 0*b - 3*b, 2*k + 4*b - 134 = 0. Suppose k*s = 70*s + 915. What is the units digit of s? 5 Let z be 1*(-4)/(-16)*-2*-8. Suppose 6*w - w = p + 805, 20 = z*p. What is the units digit of w? 2 Let b be (-3)/9*(-31 - 2). Suppose 0 = 3*h + 2*c + b, h + 2*c = -0*c - 5. What is the tens digit of 4/(-6)*h - -9? 1 Suppose -a - 4*k + 618 = 0, -2*a - 2*k + 1236 = -0*a. What is the units digit of a? 8 Suppose 5*z - 4 = 11. Let d be (0 - -9)*1/z. What is the units digit of 12 + 1/d*0? 2 Suppose -u = -4, -w + 3*u + 8 = 4*w. Suppose -4*p + q = 2*q + 147, -149 = w*p - q. Let m = p + 66. What is the units digit of m? 9 Let f(n) be the first derivative of 2*n**3/3 - n**2 - n + 2. Let h be f(2). Suppose h*j + 10 = 4*j. What is the tens digit of j? 1 Suppose -6*q + 34 + 14 = 0. Suppose -15 = -x + q. What is the units digit of x? 3 Suppose -3*r + 2*r = 115. Let q = r - -191. What is the units digit of q? 6 Let d(j) = 4*j**2 - 6*j + 4. What is the tens digit of d(5)? 7 Suppose -z = -5*z - 148. What is the units digit of (z/(-1))/(3 + -2)? 7 Let r(b) be the first derivative of -b**2/2 + 20*b + 4. Let i be r(18). Suppose -i*y - 2*o = -168, -8 + 0 = -4*o. What is the units digit of y? 2 Let i(t) = 13*t**3 + 2*t**2 - 3*t + 7. Let b be i(4). Suppose -4*z + b = -3*o, -z - 5*o - 3 = -189. What is the units digit of z? 1 Let d = 2742 + -2087. What is the tens digit of d? 5 Let g(f) = -f**2 - 9*f - 6. Let r be g(-8). Suppose -c - 47 = -r*c. What is the units digit of (c/(-2))/(6/(-12))? 7 Let d(o) = 19*o**3 + 2*o**2 - o. Let z be d(1). Suppose c - g + 5*g = 41, 4*g - z = 0. What is the units digit of c? 1 Suppose 3 = 2*v - 13. Let b(l) = l**3 - 6*l**2 - 9*l - 9. What is the tens digit of b(v)? 4 Suppose 12*w + 1585 = 17*w. What is the tens digit of w? 1 Suppose -8*o = -5*o - 2862. Suppose o = 9*d - 1305. What is the tens digit of d? 5 Let u = -3986 + 6061. What is the thousands digit of u? 2 Let a be (-8)/(16/4) - 4. Let r be ((-4)/a)/(5/15). Suppose -5*o = -4*s + 188, 68 = r*s + 4*o - 0*o. What is the tens digit of s? 4 Suppose 0 = 2*i + 2*i - 52. Suppose 84 = i*x - 11*x. What is the units digit of x? 2 Suppose 0 = -4*l + 3*l + 2*s, -4*l = 4*s. Suppose -8*p = -l*p - 960. What is the hundreds digit of p? 1 Suppose z = -5*z. Let d(q) = -q + 8. Let m be d(z). Suppose 5*c + m = 118. What is the tens digit of c? 2 Suppose 11806 + 17544 = 25*l. What is the hundreds digit of l? 1 Let j(h) = -h**3 + 35*h**2 + 54*h + 60. What is the units digit of j(36)? 8 Let k = 41 + -43. What is the units digit of (6/4 + k)/((-1)/156)? 8 Let u(f) = -f**3 + 16*f**2 - 19*f - 53. What is the units digit of u(10)? 7 Let r(l) = -l**2 + 7*l + 6. Let d be r(6). Suppose 3*p = 3*u + d, -3 - 3 = -2*p + u. Suppose 0 = p*f - 9 - 35. What is the units digit of f? 2 Suppose -3*q = -4*q + 3. What is the tens digit of (q + 12/(-8))*12? 1 Suppose -2*w = 4, 3*l - 5*w - 14 = -w. Suppose 0 = l*i + 3*h - 59, 2*h = -2*h - 4. What is the tens digit of i? 3 Suppose -2560 = -4*y + 4*s, -5*y - 5*s + 995 = -2245. What is the tens digit of y? 4 Let n be (-1)/(-4)*(3360 + 4). Let a = -594 + n. What is the units digit of a? 7 Let k = -412 - -2047. What is the tens digit of k? 3 Let x(h) = 18*h + 8. Suppose -5*z = -2*z - 24. What is the tens digit of x(z)? 5 Let m(y) = 7*y**3 - 5*y**2 + 3*y + 110. What is the thousands digit of m(9)? 4 Let z = 3040 - 1705. What is the units digit of z? 5 Let c = -16 - -16. Let g = c + 4. Suppose -g*p + 38 + 42 = 0. What is the units digit of p? 0 Let k = -8 + 60. Let p = k + -14. What is the tens digit of p? 3 Let v = -5025 - -7217. What is the hundreds digit of v? 1 Suppose -51*u + 102153 = -34476. What is the tens digit of u? 7 Let n(o) = o - 2*o**2 + 0*o + o**2 - 2*o**2 + o**3 - 1. Let a be n(4). Let w = a - -1. What is the units digit of w? 0 Let k = -234 - -242. What is the units digit of k? 8 Suppose -16 = 3*o + 56. Let n = o + 32. What is the units digit of n? 8 Let m be ((-32)/(-24))/(4/9). Suppose 3*n - 144 = -3*s, m*s - 48 - 96 = -5*n. What is the units digit of s? 8 Suppose 0 = 2*k + 3042 - 9416. What is the tens digit of k? 8 Let w(n) = -n + 9. Let u be w(5). Suppose 0 = u*d + 2*q - 172 + 6, d - 4*q = 64. What is the tens digit of d? 4 Suppose 8*s - 9*s = -1, -4*b + 2439 = -5*s. What is the hundreds digit of b? 6 Suppose -3*b + 4*o = 7, -1 = -0*b - 3*b + 2*o. Suppose 3*a + 0 = 6. Suppose -2*u - d = 4*d - 73, 126 = b*u + a*d. What is the units digit of u? 4 Suppose 0 = -2*g - 2*g + 16. Suppose -4*u + g*d + 18 = -u, -3*u = -3*d - 21. Suppose -i + 0 + u = j, 4*i - 46 = -5*j. What is the units digit of j? 6 Let t be -4 - -1 - -11*1. Let c(p) = -t*p**2 + 14*p**2 + 2 - 3*p**2 + 3*p. What is the units digit of c(2)? 0 Let y(x) = -13*x**3 + 4*x**2 + 6*x - 1. Suppose 2*m + 2 = -3*t, m - 4*m = -6. What is the units digit of y(t)? 7 Let x(p) = p**2 + 3*p + 8. Let m be x(-4). What is the tens digit of m/9*(-30)/(-1)? 4 Suppose -4*m = 2*v - 928, 230 - 926 = -3*m + 4*v. What is the tens digit of m? 3 What is the hundreds digit of (719 - 28/(-7)) + 5? 7 Suppose -4*c + 5*m = -331, 4*c + 4*m - 340 = -0*m. Let h(n) = -2*n - 8. Let y be h(15). Let j = c + y. What is the units digit of j? 6 Let a = -891 + 2187. What is the tens digit of a? 9 Let s = 1030 + -700. What is the units digit of s? 0 What is the hundreds digit of (-19 - -4)*-25 + -11? 3 Suppose 9 = 2*h + h. Suppose 5*z + h*i - 25 = 8*i, -z - 1 = 5*i. Suppose z*x = 16, 3*x - 6*x = -5*y - 2. What is the units digit of y? 2 Suppose 5*a + q = -0*a + 6, -4*a + 2*q + 2 = 0. What is
{ "pile_set_name": "DM Mathematics" }
19*f**2 to g*f**2 + b + c*f and give c. 4 Rearrange 3134*n - 4372*n + 7351*n + 5162*n to x*n + l and give x. 11275 Rearrange 60*v + 79*v**3 - 5*v + 28*v**3 - 78*v**3 to q + k*v + y*v**3 + b*v**2 and give k. 55 Rearrange 2*k**4 + 2*k**3 + 3266049*k + 0*k**4 - 5 - 3266011*k - k**2 to the form x + j*k + u*k**2 + g*k**4 + d*k**3 and give j. 38 Rearrange (-1020*y**2 - 988*y**2 + 399*y**2)*(1 - 1 + y) to x*y + v*y**2 + h*y**3 + p and give h. -1609 Express (3 + 25 + 7)*(-1 + 2 - 3)*(2*m - 3*m + 2*m)*(-12 + 156 + 112) as l*m + v and give l. -17920 Rearrange -16*g**3 - 5*g + 11 + 16 - 137*g**2 - 24 + 3*g + 140*g**2 to the form q + b*g**3 + d*g + p*g**2 and give p. 3 Express 2 - 11 + 225*s**2 + 10 + 4*s**4 - 2*s - 202*s**2 - 2*s**3 in the form o + d*s + u*s**3 + q*s**4 + b*s**2 and give q. 4 Express -2*d - 2 + 2 + (6*d - 3*d + 4*d)*(3 + 9 - 6) - 66 + 129 - 66 - 36*d in the form n*d + m and give m. -3 Rearrange (3417*w - 3417*w - 1915*w**2)*(-2*w + 4 - 4 - 2*w + 5*w - 2*w + 2 - 2 + w + (3*w + 5*w - 6*w)*(2 - 2 - 2)) to g*w**2 + c + n*w**3 + q*w and give n. 7660 Rearrange 7*h**2 - 17 - 15*h - 6 + 4*h + 9*h - 4*h to the form g*h**2 + k + r*h and give g. 7 Express (2 - 2 + 3*n**2)*(-150664*n + 4 + 75297*n + 75508*n) as i*n**2 + l*n**3 + m*n + t and give i. 12 Express (3042*m**2 - 9039*m**2 + 4072*m**2)*(14 + 5 - 7) as q + d*m**2 + a*m and give d. -23100 Express 20 - 52 - f**2 - 354*f + 52*f + 32 in the form p*f + w + k*f**2 and give k. -1 Rearrange -3*v**4 - 1908 - 13*v - 150*v + 1908 - 3*v**2 - 4*v**3 + 5*v**2 to the form f*v**4 + l + z*v + u*v**2 + s*v**3 and give u. 2 Rearrange 1 + 423*h - 1615*h + 7872*h + 2770*h to q*h + o and give o. 1 Express 5 - 598*b**2 + 18*b + 297*b**2 + 297*b**2 in the form z*b**2 + y + d*b and give d. 18 Express 15*v**2 - 9*v**2 + 5328*v + 2855*v - 8*v**2 as c*v + u*v**2 + a and give c. 8183 Rearrange (145*z - 145*z - 51*z**3)*(-7 - 2 + 0)*(5*z - 2*z + 2*z) to k*z + l*z**4 + b + u*z**2 + n*z**3 and give b. 0 Rearrange (4 - 2 - 3)*(-304*n**3 - 29*n**3 - 1067*n**3)*(5 - 5 - n) to l*n**2 + p*n**3 + k*n + t + u*n**4 and give u. -1400 Rearrange -390*l + 124*l**2 - 386*l + 776*l + 19 - 15 to the form o + k*l + z*l**2 and give k. 0 Express (-44 + 3 - 2*h + 18)*(2*h + 16 - 16)*(-1 + 5 + 0 + (4 + 5 - 4)*(-3 + 2 + 2))*(0 + 2 - 6) as g + f*h + c*h**2 and give f. 1656 Express 91*t**3 + 13 - 255*t**3 + 3*t + 81*t**3 + 2*t**2 + 82*t**3 + 159 as k*t**2 + s*t**3 + o + q*t and give q. 3 Rearrange (-5 + 5 - 2*g)*(-g + 0*g - g) + (-2 + 3 + 2)*(2*g**2 - 1 + 1) + 90*g**2 - 784*g**2 - 786*g**2 to x + p*g + n*g**2 and give n. -1470 Rearrange (-2*h**3 - 3*h**3 + 6*h**3)*(34225 - 15239 - 4181 + 51510 + 13810 + 54492) to the form x*h**3 + f*h + p + t*h**2 and give x. 134617 Rearrange 4*q**3 + 0*q**3 - 5*q**3 + (-5*q + 10*q + 4*q)*(-366*q**2 + 796*q**2 - 267*q**2) to the form p + x*q**2 + w*q**3 + r*q and give w. 1466 Rearrange -531*g**3 + 12 + 5564*g**2 - 5564*g**2 + g + 531*g**3 - 88*g**4 to q*g**3 + j*g + k + l*g**4 + o*g**2 and give j. 1 Express -14*d**2 + 4059*d + 3*d**3 - 6 - 4061*d + 0 - 2*d**3 as h*d**2 + p + g*d + s*d**3 and give g. -2 Express (2 + 0 - 1)*(3 - 1 + 0 + 48*k) - 528 + 18*k + 263 + 260 in the form a + l*k and give a. -3 Rearrange (1424*b**2 + 25426*b - 25426*b)*(0 + 4 - 2) to the form k + c*b + z*b**2 and give z. 2848 Express 2 + 6 - 7*r**3 + r**2 + 16 - 21*r**3 + r as c*r**2 + q*r**3 + w*r + m and give c. 1 Express (-42 + 95 - 732*f - 54)*((0 - 2 + 0)*(-1 + 4 - 4) - 2 + 0 + 4 + (-5 + 3 + 0)*(1 + 4 - 6)) as n*f + l and give n. -4392 Express 8*v + v**3 + 3*v**4 - 553794904*v**2 + 553794904*v**2 + 15 in the form m + i*v**3 + c*v**2 + y*v**4 + b*v and give m. 15 Express (-2*u + 3*u + 0*u)*(103201*u - 34614*u + 60268*u - 3727*u + 9149*u + 62997*u) as y*u**2 + x*u + a and give a. 0 Express 1218*i**2 + 6 - 2479*i**2 + 1210*i**2 in the form h + p*i**2 + x*i and give p. -51 Express 8*g - 8*g**2 - 12*g**3 + 15*g**2 + 11*g**3 + 4*g**2 - 5*g in the form q*g**2 + l*g**3 + a + z*g and give q. 11 Rearrange (-1669 + 1669 + 5097*n + 4700*n)*(8*n - 7*n + 6*n) to a*n + h + o*n**2 and give o. 68579 Express (49 + 34 - 70)*(6*f - 33*f - 238*f) in the form z*f + d and give z. -3445 Express (7*l + 4*l - l)*(-19 + 12*l + 19) + (-5 - 3 + 0)*(0 + 3*l**2 + 0) in the form m*l + b + g*l**2 and give g. 96 Rearrange (55*f - 111 - 105*f + 40*f)*(-3 - 6 + 5) to the form g + u*f and give g. 444 Rearrange -356*u**2 - 1870 - 366*u**2 + 3725 - 1860 to the form z*u + g*u**2 + y and give g. -722 Express (2 + 1 - 1)*(-43*k**4 - 161*k**4 - 133*k**4) + 7*k**3 + 8*k**4 - 7*k**3 in the form v*k**4 + c*k**2 + q*k + h*k**3 + a and give v. -666 Express -15*y**2 + 2566*y**4 - 2*y**3 - 551*y**4 + 1227*y**4 + 7*y**2 + 7*y**2 as l*y**4 + v + b*y + i*y**3 + d*y**2 and give b. 0 Express ((-2*x + 6*x - 5*x)*(2 + 1 - 5) + 94*x + 52*x - 53*x - 2 + 0*x + x + 2*x)*(-5 + 3 + 0) in the form a*x + f and give a. -196 Express (-3*b + 2*b + 8*b)*(1 - 125*b - 4*b - 132*b - 19*b - 73*b) in the form i*b**2 + k*b + o and give i. -2471 Rearrange 60 - 159 + 46 + 53 + 10730*g to z + p*g and give p. 10730 Express (439 - 185 - 197)*(0 + 9*t + 1 - 5*t) as d*t + v and give v. 57 Express -332078*z**2 + 332082*z**2 - 3 - 10*z + 9*z**3 + 6 in the form g*z**2 + j + s*z**3 + n*z and give g. 4 Rearrange 4090*y**2 + 4*y - 2040*y**2 + 0*y + 59 - 3*y - 2049*y**2 to the form b*y + c + r*y**2 and give r. 1 Rearrange 752 - 1495 + 743 - 2857*j to b + z*j and give b. 0 Express (274 + 6*x**3 - 143 - 130 + (-x + 0 + 0)*(x**2 - 2*x**2 - x**2))*(-4 - 2 + 3) in the form a*x + n*x**2 + q*x**3 + s and give s. -3 Rearrange (q**2 - 2 + 2 + (0*q + 4*q - 5*q)*(-122*q - 114*q + 190*q))*(-3*q + 1 + 2*q + 0*q) to a*q**3 + l*q**2 + w*q + h and give a. -47 Express (13*p**2 + 3*p**2 + 6*p**2)*(-1 + 2 - 4) + (2 + 0 - 1)*(-78 - 8*p + 78)*(p - 3 + 3) in the form w*p + l*p**2 + b and give l. -74 Rearrange -3*i + 0*i + 2*i + (i + 5*i - 4*i)*(5 + 2 - 6) - 51779*i + 97349*i - 51621*i to the form j + k*i and give k. -6050 Rearrange -2*d**2 + 4*d - 7*d**2 - 644321*d**3 + 18*d**4 + 644322*d**3 to the form h + v*d**2 + g*d**3 + j*d**4 + i*d and give g. 1 Rearrange 590*q**2 - 2869*q**2 - 2781*q**2 - 515*q**2 to the form j + x*q + t*q**2 and give j. 0 Express -26*o + 8*o**2 - o**3 - 231*o - 10*o**2 + 5*o as n*o**3 + h*o**2 + s + b*o and give h. -2 Express -1768 + 3205 - 11*g - 1829 in the form j + b*g and give j. -392 Express -8971724*l**2 + l + 89 + 2*l + 8971727*l**2 in the form n + t*l + i*l**2 and give n. 89 Express 2 - 2*o - 2 + (0*o + 4*o - 2*o)*(3 - 12 + 0)*(-3303 + 2147 + 1598) as w*o + m and give w. -7958 Express (275*t - 544*t + 277*t - 5)*(4*t + 2*t - 2*t)*(-3 + 3 + 2)*(7 - 7 + 11) in the form f + i*t**2 + c*t and give c. -440 Express (-2*c - 2 + 2)*(18*c + 0*c - 9*c) - 8 + 1 - 93*c**2 + 91*c**2 in the form y*c + g + q*c**2 and give q. -20 Rearrange -1 - 1204*k**2 - 467*k**2 - 498*k**2 + 7*k + 1189*k**2 to p*k**2 + g + t*k and give t. 7 Rearrange (-564 + 2543 - 3*j - 602 + 1819)*(-2 - 1 + 4) to z*j + n and give n. 3196 Express 6*z - 3*z - 5*z + 34*z + 80*z + 20*z + (2 + 1 - 4)*(2*z + 0*z - 3*z) in the form f*z + r and give f. 133 Express -4244*j**2 + 74*j - 4317*j**2 + 8587*j**2 in the form c*j + d*j**2 + k and give c. 74 Express (1 - 4 + 5)*(2 + 3 - 1)*(-217*o + 109*o + 111*o + 8)*(0 - 2 + 1) in the form b + x*o and give x. -24 Express -86*h**2 - 13*h - 12 - 133 + 87*h**2 - h as r + c*h**2 + w*h and give w. -14 Express 166*i**2 - 1172*i - 2334*i**2 + 1172*i in the form w*i + u*i**2 + a and give a. 0 Rearrange -197 + 4*n**2 - 185 - n**2 + n**3 + 3*n + n**3 + 379 to o*n**3 + i + t*n + f*n**2 and give t. 3 Rearrange 118082 + 0*q**3 + 11*q**4 + q**3 + 118054 + 6*q - 236155 to p*q**2 + h*q**3 + l*q**4 + t + y*q and give l. 11 Express 5 - 5 + x**2 + (2644*x**2 + 2489 - 4975 + 2486)*(0 + 3 + 7) as m*x + i + g*x**2 and give g. 26441 Rearrange -61 - 11012*u + 46 + 3 + 12 to q*u + k and give q. -11012 Express 47615 + 6*y + 47644 - 95730 as z*y + b and give b. -471 Rearrange (-3 + 5 + 1)*(-116 + 133 + 178)*(-2 + 1 + 3 - c)*(-5 + 5 + 2) to p*c + h and give h. 2340 Express (-d - 3*d - 3 + 6*d)*(2*d**2 + 0*d + 0*d) + (-313 + 12*d**2 + 313)*(4 + 4*d - 3*d - 12) as p + x*d**3 + m*d + s*d**2 and give s. -102 Rearrange 14464*z - 17 + 3695*z**2 - 144
{ "pile_set_name": "DM Mathematics" }
ghest common factor of x and 48. 16 Let r(g) = 4*g - 26. Let h be r(10). What is the highest common factor of 119 and h? 7 Let p(g) = 19*g + 8. Let i be -4 + (6*4)/3. Let r be p(i). What is the greatest common factor of r and 21? 21 Let l = 13 - 8. Suppose -l*h - 2 = -122. Suppose -x - f = -h, -3*x - f = -2*f - 92. What is the highest common factor of 319 and x? 29 Suppose -w = -g + 21, 5*w - 65 = -5*g + 2*w. What is the greatest common factor of 520 and g? 8 Let s be (-9696)/(-66) - ((-63)/(-33) - 2). What is the greatest common factor of s and 6? 3 Suppose -71*k - 40*k = -2997. Let r(p) = 7*p**2 - 5*p - 6. Let t be r(6). What is the greatest common factor of t and k? 27 Suppose 75 - 12 = 3*y. Let j = y + 29. Let o be (120/j)/(2/165). Calculate the greatest common factor of 22 and o. 22 Suppose -4*t = -4*h - 528, -4*t + 523 = 3*h + 9. What is the greatest common divisor of 286 and t? 26 Suppose 0 = 4*o - 294 + 78. Suppose w + 5 = -4. Let g be (-24)/w*(-81)/(-6). What is the highest common factor of g and o? 18 Suppose 5*f - 2*j = 373 + 429, 1 = -j. Let i be (436/(-872))/((-1)/(1 - -63)). Calculate the highest common factor of f and i. 32 Let u = -30 - -35. Let q be 0 + 1 - (-2)/(-2). Suppose y - 11 = -0*l + l, -y + 3*l + u = q. Calculate the greatest common divisor of y and 35. 7 Let i(o) = 11*o**2 - 3*o + 1. Let f(g) = -g - 6. Let u be f(-8). Suppose -u*n = 4 - 6. Let k be i(n). What is the highest common divisor of k and 27? 9 Let c be 216*((-42)/(-9) + -4). What is the highest common factor of c and 32? 16 Let c(n) = -3*n**3 - 8*n**2 + 4. Let l be c(-4). Suppose 4*m - 3*i - 55 = l, -5*m - 2*i + 148 = 0. What is the greatest common factor of 30 and m? 30 Let s = 509 - 498. Let y be -4*-1*(1 - -10). What is the greatest common divisor of s and y? 11 Let p(c) = 3*c**2 - 4*c + 6. Let x be p(0). Calculate the greatest common divisor of x and 4. 2 Suppose 0 = -4*x + 1 + 51. Let t be 1*x + (-14 - -16). What is the greatest common divisor of 75 and t? 15 Let x be (22/6)/((-2)/6). Let h = x + 29. Suppose n + n - s = 321, 4*s = -3*n + 498. Calculate the highest common factor of n and h. 18 Let y(c) = -c**2 - 10*c - 11. Let h be y(-7). Let j be (-498)/(-5) + 8/20. Calculate the highest common divisor of j and h. 10 Let t(p) = 33*p + 806. Let f be t(-24). Suppose g + 2 = 2*g. What is the greatest common factor of g and f? 2 Let n be 11/33 - (-47)/3. Let j be (8/14)/(n/56). Suppose -5*u - 45 = -5*a, 0*a = -j*a - 4*u - 6. What is the greatest common factor of a and 35? 5 Let d be (-6222)/(-48) - (-3)/8. What is the greatest common divisor of d and 90? 10 Let q be (-6*1)/((-3)/(-3)). Let j = 562 + -566. Let l = j - q. Calculate the greatest common divisor of 6 and l. 2 Suppose 5*u + 3*m = -105, -3*u - 5*m = 13 + 34. Let y = u - -51. Calculate the highest common factor of 18 and y. 9 Suppose -5*d - 5*l + 70 + 10 = 0, -2*l = 0. What is the greatest common divisor of 10 and d? 2 Suppose m = -3*x + 2, -2 = 5*x + 2*m - 5. Let t be (27/(-36))/(x/4) - -21. What is the greatest common factor of 24 and t? 6 Let k be ((-7)/(-9))/((-1)/(-3))*3. Calculate the greatest common divisor of k and 119. 7 Let f be (-3)/1*1 + 2. Let r be 1*(f - -4) - -200. Calculate the greatest common divisor of r and 29. 29 Suppose 9*x - 565 + 106 = 0. What is the greatest common divisor of x and 289? 17 Let h(l) = 8*l - 1. Let k be h(-3). Let f = -7 - k. Calculate the greatest common factor of 6 and f. 6 Suppose -123 = -5*l - 58. Suppose -l*u + 8*u + 1085 = 0. What is the highest common factor of 31 and u? 31 Let q be (-689)/(-39)*132/4. What is the greatest common factor of 53 and q? 53 Let i(p) = -p**3 + 54*p**2 - 53*p + 3. Let z be i(53). What is the highest common divisor of z and 84? 3 Let o = -157 - -233. Let n be 1885/10 - (-6)/(-4) - -3. Calculate the highest common factor of n and o. 38 Let o = 112 - 215. Let x = -92 - o. Calculate the greatest common factor of 22 and x. 11 Let z(k) be the first derivative of k**3/3 + 9*k**2/2 - 3*k - 2. Let c be z(-9). Let v be (0 + c)*(-130)/30. Calculate the highest common factor of 104 and v. 13 Let h be 42/4 - (-11)/(-22). Let m(z) = 15*z - 70. Let w be m(h). What is the greatest common factor of w and 60? 20 Let g be 1/(-1) + (317 - -6). Let k = g + -205. Calculate the highest common factor of k and 18. 9 Let i = 4 - 1. Suppose c = i*q + 8, -q = 6*c - c - 8. Suppose 0*p - 2*p + 4*w = -22, 4*w + 19 = p. Calculate the highest common divisor of c and p. 1 Suppose 40 = o - 1. What is the highest common divisor of 82 and o? 41 Let z be (-8 - (-2 - 1))/(-1). Suppose z*l + l = 18. Suppose 2*k = 4*x - 214, -k - 2 = -l*k. Calculate the greatest common factor of 6 and x. 6 Let s = -187 + 207. What is the greatest common factor of s and 70? 10 Let c be 9/6*(1 + -3). Let o be (-2 + 8)/(c/(-44)). Suppose 2*m + 5*z - 36 = 0, 4*m - 3*z = -145 + 165. What is the highest common divisor of o and m? 8 Suppose 2*m + 9*f = 4*f + 3655, 0 = -4*m - 5*f + 7335. Calculate the greatest common divisor of m and 92. 92 Let m(h) = h + 6. Let x(i) = -i - 3. Let c be x(3). Let o be m(c). Suppose 3*q - 2*q - 4 = o. What is the highest common divisor of q and 20? 4 Suppose 0 = -10*i - 689 + 4239. What is the greatest common factor of 5 and i? 5 Suppose -w + 1394 = 2*l, 5*l + 6970 = 5*w + 10*l. Calculate the greatest common factor of w and 68. 34 Suppose -2*u + 3*a + 168 = 3*u, u = -5*a + 56. Let v = u - -45. What is the highest common factor of v and 27? 27 Let b be -70 - ((0 - -4) + -1). Let n = b - -205. What is the highest common divisor of n and 12? 12 Let x = 45 + -32. Let f = 151 + -8. Calculate the highest common factor of x and f. 13 Suppose 144 = -0*y + 6*y. Let t = -20 - -60. Calculate the highest common divisor of y and t. 8 Suppose -3*q - 5*z = 2, -2*z - 26 = -4*q + 6. Suppose -18*p = -q*p - 204. Calculate the highest common divisor of 136 and p. 17 Let g = 57 - 57. Suppose -6*u + 2*u + 28 = g. Suppose -3*h - 32 = -n, 2*h + 2 - 4 = 0. Calculate the highest common factor of u and n. 7 Suppose 39 = l + 3*i, -28 = -4*l + 2*l + 4*i. Suppose 0 = 3*w + 3*x - 36, 4*x - 12 = 4*w - 60. Calculate the greatest common factor of l and w. 12 Let s = -140 + 180. What is the greatest common factor of s and 50? 10 Let s = 29 + -17. Let b(f) = 10*f - 30. Let a be b(s). Let m = 19 - 9. Calculate the greatest common divisor of m and a. 10 Let y = 495 - 476. What is the greatest common divisor of 38 and y? 19 Let n = -30 - -41. Let w(q) = -q**3 + 11*q**2 + 6*q + 6. Let s be w(n). Let a be (18/(-4))/(3/(-6)). Calculate the highest common divisor of s and a. 9 Let v be 12/(-8)*(-30)/9. What is the greatest common divisor of 95 and v? 5 Let q = 176 - 84. Let m = q + -84. What is the highest common factor of 6 and m? 2 Let y = 365 + -122. Calculate the highest common divisor of y and 45. 9 Suppose -35*h = -9*h - 3172. What is the greatest common divisor of h and 61? 61 Suppose -i + 275 = 3*f, f + 355 = 5*f - i. What is the highest common divisor of f and 36? 18 Suppose -5*s + h + 4*h + 30 = 0, 28 = 5*s - 4*h. Let t be 27/s + 1/4. Calculate the highest common divisor of 21 and t. 7 Suppose -15384 = -14*y + 1836. Calculate the highest common divisor of 5 and y. 5 Suppose 0 = -64*c + 59622 + 44314. What is the highest common factor of c and 112? 56 Let r be (3/6)/(1/100). Let u(z) = z**3 + 5*z**2 + 3*z + 74. Let t be u(-6). What is the greatest common divisor of r and t? 10 Let i be (-2)/(3*4/(-24)). Suppose -4*t + o = -3*o, 4*t = -i*o + 40. Let d = 62 + -27. What is the greatest common divisor of t and d? 5 Suppose 0 = j - 5*q + 24 + 49, -q = -3*j - 191. Let n = j - -183. Calculate the greatest common factor of 30 and n. 30 Suppose -25*p - 187 = -512. Calculate the highest common divisor of 91 and p. 13 Let a = -774 + 810. Suppose 8 = -p - 5*v, 0 = 2*p + 2*v + 37 + 11. Let n = -4 - p. Calculate the highest common factor of a and n. 12 Let b = -134 + 149. Calculate the highest common divisor of 555 and b. 15 Let r = 672 - 438. Calculate the highest common divisor of 72 and r. 18 Suppose 0 = -3*z + 5*t + 137, -4*z + 95 = 5*t - 146. What is the greatest common divisor of 1242 and z? 54 Let a(q) = -32*q**3 - 4*q**2 - 4*q - 2. Let k be a(-1). What is the highest common factor of 105 and k
{ "pile_set_name": "DM Mathematics" }
2 + 16*o - 24. What are the prime factors of n(13)? 3, 5 Let b be 6 + (0 - (-3 - -1)). Let i = b + -6. List the prime factors of i. 2 Let b(g) = g**2 + 4*g + 5. Let n be b(-4). Suppose 0*h = -n*h + 180. List the prime factors of h. 2, 3 What are the prime factors of (-62)/(-8)*(7 + -3)? 31 Let b(l) be the first derivative of l**4/4 + 2*l**3 + 3*l**2/2 + 5*l - 3. List the prime factors of b(-4). 5 Suppose -4*t + 2*s + 248 = 0, 3*s + 41 = t - 26. What are the prime factors of t? 61 Let o = 11 + -7. Suppose 7 + 5 = o*t. List the prime factors of t. 3 Let k be 14/(-10) - 4/(-10). Let q(w) = -25*w - 1. Let n be q(k). Let a = -17 + n. List the prime factors of a. 7 Suppose -200 = -4*n - 4*c, 5*c - 2*c = 3*n - 180. Suppose 8*h - 3*h - n = 0. Suppose 3*l = 22 + h. List the prime factors of l. 11 Let f(o) be the third derivative of o**5/20 - o**4/8 - o**3/3 + 6*o**2. What are the prime factors of f(-3)? 2, 17 Suppose l + 48 = r, -5*l - 87 = r - 3*r. Suppose -5*y + r = -9. List the prime factors of y. 2, 3 Let k(u) = -u**3 - 4*u**2 - u - 3. Let n be 0 + (-2 - (-2 - -3)). Let d be k(n). What are the prime factors of (-58)/(-8) - d/12? 2 Let o(g) = g**3 - 4*g**2 - 5*g + 2. Let f be o(5). Suppose -l - 3*z + 6 = 2*l, -l = f*z + 1. Suppose -l - 25 = -3*r. List the prime factors of r. 2, 5 Suppose -10 = 3*p + t + 17, p + 2*t = -4. Let m = p - -14. List the prime factors of m. 2 Suppose -k - 12 = -0*k. Let t be (-33)/k - 3/(-12). List the prime factors of (22/(-3))/((-2)/t). 11 Let o be (-3 + 0)*60/9. Let i be -3*(0 - o/(-6)). Let u = i - -3. List the prime factors of u. 13 Suppose 0*a = 6*a - 594. List the prime factors of a. 3, 11 Suppose 0 = -3*t - 3*y - 27, 0*t - 3*t - 2*y = 24. Let l be t*1*(-1)/2. Suppose 5*c - 42 = l*i, -i = -4*c + 1 + 34. List the prime factors of c. 3 Let u = 5 - 3. Let x(b) = -b - b + 0*b + 2 - 5*b + b**u. What are the prime factors of x(9)? 2, 5 Let r(o) = -o**2 - 8*o - 8. Let w(k) = k - 2. Let i be -4 - 0*3/6. Let f be w(i). List the prime factors of r(f). 2 Let p = 58 + 1. List the prime factors of p. 59 Let q = 38 + -19. Let g(k) = k**2 + k + 1. Let w be g(5). Let a = w - q. List the prime factors of a. 2, 3 Let b be -1 - (3 + (1 - 3)). Let t be (-30 - 0)*2/b. Let g = -21 + t. List the prime factors of g. 3 Let l(k) be the third derivative of k**5/30 - k**3/6 + k**2. Let p be l(1). What are the prime factors of (2 + p*-9)*-1? 7 Let o be (-2429)/(-42) - (-2)/12. Suppose -2*y - o = -2*g, -2*g = 4*y + y - 30. What are the prime factors of g? 5 Suppose -33*q - 816 = -45*q. What are the prime factors of q? 2, 17 Suppose -3 = -3*f, 2*z - 71 = -3*f + 8*f. What are the prime factors of z? 2, 19 Let c(l) = -l**3 + 8*l**2 + 6. Let b be c(8). List the prime factors of b/(2/4*2). 2, 3 Let r be 4/10 - (-608)/(-20). Let l = -17 - r. What are the prime factors of l? 13 Let l(n) = -2*n - 6. Suppose 0*g - 5*g = 40. What are the prime factors of l(g)? 2, 5 Let g = 6 + -7. Let w(d) = 5*d**2 + d. Let l be w(g). What are the prime factors of 22/(-4)*l/(-2)? 11 Let l = 45 + -5. List the prime factors of l. 2, 5 Let p be 190/70 + (-2)/(-7). Suppose 3*i - 2 = 4*d + p, 5*d = 5. Suppose 43 = m + 5*z, -m - 41 = -i*m - z. List the prime factors of m. 2, 3 Suppose p = 4*p - 99. What are the prime factors of p? 3, 11 Let l = 9 + -16. What are the prime factors of (-12)/l + (-2)/(-7)? 2 Let k(n) = -8*n - 3. Let y(x) = x. Let c be y(-2). What are the prime factors of k(c)? 13 Suppose c + 2*b = -0*c + 22, 4*c = -3*b + 108. List the prime factors of c. 2, 3, 5 Let s be 43 + (-1 - (0 + 0)). Suppose -l + 23 = 5*v, -101 = -5*l + 3*v + s. Suppose -l = -3*h - 1. What are the prime factors of h? 3 Let j = 22 - 3. Let k = j - 7. List the prime factors of k. 2, 3 Let p be ((-2)/4)/(2/(-16)). Let h be (-2)/8 - 3/p. List the prime factors of 7*-1*h + -1. 2, 3 Let i = 33 + 14. List the prime factors of i. 47 Let d(p) = p**2 + 7*p + 9. Let g be d(-6). Suppose -g = -2*b + 5. List the prime factors of b. 2 Let u be 2/3 + (-12)/(-9). Suppose -p - u*p + 6 = 0. List the prime factors of p. 2 Let q be 2 + (-3)/(0 + -3). Suppose -d = -q*d + 10. List the prime factors of d. 5 Let y(n) be the third derivative of 0 + 1/3*n**3 + 1/8*n**4 + 1/60*n**5 + 0*n + 2*n**2. What are the prime factors of y(-5)? 2, 3 Let j = 33 - 20. Let g be (2/(-6))/(2/(-114)). Let u = g - j. List the prime factors of u. 2, 3 Let w(s) = 0 + 5*s**2 - 5 - 4*s**2. What are the prime factors of w(4)? 11 Let o(v) = 14 + 2*v - 11 - 3*v. Let z be o(-10). Let s = z - 7. List the prime factors of s. 2, 3 Let v(n) = -5*n - 7. List the prime factors of v(-6). 23 Suppose -2*y = 2*y. Suppose -24 = -y*n - 3*n. List the prime factors of n. 2 Let v(r) = -r**2 + 5*r - 3. Let l be v(3). Suppose l*g - 26 = -200. List the prime factors of 2/(-7) + g/(-7). 2 Let d be 2*-1 + (-5)/(-10)*6. Suppose -b + 11 = 2*h, 1 - 12 = -b + 5*h. Let y = b + d. What are the prime factors of y? 2, 3 Let r = 7 + -5. Suppose -r*v + 5*k = -16, 44 = 6*v - 2*v - 4*k. List the prime factors of v. 13 Let a = 83 + -100. Let x be (-31)/4 + 2/(-8). Let s = x - a. List the prime factors of s. 3 Suppose -2*k + 10 = -0*k - 4*m, 4*m = -3*k + 15. What are the prime factors of k*5/((-25)/(-2))? 2 Let d(m) = -m**3 + 5*m**2 - 3*m + 2. Let g be d(4). Suppose -4*b = -g*b - 20. Let l(f) = -2*f - 12. List the prime factors of l(b). 2 Let x(l) = -4*l - 5. List the prime factors of x(-3). 7 Let n(o) be the first derivative of o**3/3 - o**2/2 - 3*o - 2. Suppose 5*x - 3*y = 3*x - 7, -3*y - 1 = -4*x. List the prime factors of n(x). 3 What are the prime factors of (-1)/(3/(-450)) + -5? 5, 29 Suppose -3*u - 4*w - 73 = w, 2*u - 5*w = -57. Let p = u - -13. Let b = -5 - p. List the prime factors of b. 2 Let a be (-4)/18 - (-2)/9. Let o = 5 + a. Let p = 1 + o. What are the prime factors of p? 2, 3 Suppose 4*l - 6 = -5*v, 2*l + 4 = 2*v - 2. Let u be v/4*(3 - -71). Suppose 0 = 5*a - u - 18. What are the prime factors of a? 11 Suppose -2*w = 2*w - 12. List the prime factors of w. 3 Let k = 5 + -5. Suppose r + k*r = 15. List the prime factors of r. 3, 5 Let y = -1 + -5. Let j(n) = n**3 + 6*n**2 - 3*n - 3. List the prime factors of j(y). 3, 5 Suppose 3*t = -0 + 18. List the prime factors of -2 + (t - (-6)/3). 2, 3 Let w = 30 + -47. Let h = 31 + w. What are the prime factors of h? 2, 7 What are the prime factors of (-88)/(-5) + 4/10? 2, 3 Suppose 0 = 2*d - j - 60, -2*d + 76 = d - 5*j. What are the prime factors of d? 2 Let u(d) = 7*d. Let o(v) = -v**2 + 3*v + 1. Let a be o(3). List the prime factors of u(a). 7 What are the prime factors of 1/((-4)/(-1264)*4)? 79 Let l = -251 - -366. List the prime factors of l. 5, 23 Let t(d) = d**3 + 4*d**2 - d + 5. What are the prime factors of t(-4)? 3 Let r = -4 + 7. Suppose -x - r = -33. Suppose -2*i + x = i. What are the prime factors of i? 2, 5 Let k(n) be the first derivative of n**4/4 + 2*n**3 + 3*n**2/2 + 2*n + 16. Suppose 4*d = 4*z + 40, 2*z - 4*z - 15 = -d. What are the prime factors of k(z)? 2, 3 Let c be 2/7 + 4/(-14). Suppose -54 = -c*v - 2*v. List the prime factors of v. 3 Let m(d) = -2*d**2 - 17*d - 16 + 0*d**2 + d**2. Let v be m(-12). Suppose -5*o + v = -o. What are the prime factors of o? 11 Let i(t) = t**3 - t + 1. Let o(g) = 5*g**3 + 5*g**2 - 7*g + 6. Let d(z) = 6*i(z) - o(z). Let w be d(4). What are the prime factors of (-152)/w*(-6)/(-4)? 19 Let y(s) = s**3 + s**2 + s + 25. Let w(t) = -2*t + 12. Let o be w(6). What are the prime factors of y(o)? 5 Let j(q) = 2*q + 9. Let l be j(9). Let f be ((-20)/(-15))/(1/3). Suppose 0 = -f*y + y + l. List the prime factors of y. 3 Suppose 0 = -3*c + 2*i + 94, 5*c + 2*i - 102 = c. List the prime factors of c. 2, 7 Let t be -1*3/6*0. Suppose 2*b + 50 = -5*z - t*b, 4*z + 22 = 2*b. List the prime factors of (6/z)/(1/(-4)). 3 Suppose 0 + 16 = 2*r. Suppose 5*k - k - 4 = -5*p, p - r = k. Suppose -9 = -g - p*n, 1 = -g + 4*n + 10. What are the prime factors of g? 3 Let x(h) = h. Let a(l) be the third derivative of -2*l**3/3 - 2*l**2. Let d(z) = -a(z) - x(z). List the prime factors of d(-4). 2 List the prime factors of (-11)/(-3) - 16/24. 3 Let c(p) = 11*p - 7. List the prime factors of c(5). 2, 3 Let m = 1 - 3. What are the prime factors of 60/8 + m/(-4)? 2 Suppose 2*f - 5*d - 29 = 0, 3*f + 7*d - 33
{ "pile_set_name": "DM Mathematics" }
arest integer? 19873 What is 65849723 to the power of 1/9, to the nearest integer? 7 What is 1394917416 to the power of 1/2, to the nearest integer? 37349 What is the eighth root of 667086863 to the nearest integer? 13 What is 215365710 to the power of 1/3, to the nearest integer? 599 What is the seventh root of 244043826 to the nearest integer? 16 What is the fifth root of 424207646 to the nearest integer? 53 What is 254571580 to the power of 1/7, to the nearest integer? 16 What is 26589709 to the power of 1/2, to the nearest integer? 5157 What is the eighth root of 340354410 to the nearest integer? 12 What is the square root of 101044720 to the nearest integer? 10052 What is the third root of 88481947 to the nearest integer? 446 What is the third root of 134375222 to the nearest integer? 512 What is 4578038 to the power of 1/3, to the nearest integer? 166 What is 33477012 to the power of 1/2, to the nearest integer? 5786 What is 95763691 to the power of 1/9, to the nearest integer? 8 What is the eighth root of 31098344 to the nearest integer? 9 What is the third root of 62108195 to the nearest integer? 396 What is 1336025156 to the power of 1/2, to the nearest integer? 36552 What is 78296263 to the power of 1/9, to the nearest integer? 8 What is the fifth root of 1343153656 to the nearest integer? 67 What is 868239017 to the power of 1/10, to the nearest integer? 8 What is 59663758 to the power of 1/3, to the nearest integer? 391 What is 913039190 to the power of 1/2, to the nearest integer? 30217 What is 147649349 to the power of 1/6, to the nearest integer? 23 What is the fourth root of 2257000749 to the nearest integer? 218 What is 1323952476 to the power of 1/2, to the nearest integer? 36386 What is the cube root of 110263384 to the nearest integer? 480 What is 913058026 to the power of 1/8, to the nearest integer? 13 What is the cube root of 734092143 to the nearest integer? 902 What is 5711926 to the power of 1/7, to the nearest integer? 9 What is the third root of 562881805 to the nearest integer? 826 What is the sixth root of 1295793893 to the nearest integer? 33 What is 524828743 to the power of 1/9, to the nearest integer? 9 What is 165640124 to the power of 1/9, to the nearest integer? 8 What is 3165820752 to the power of 1/3, to the nearest integer? 1468 What is 40321397 to the power of 1/7, to the nearest integer? 12 What is 302577834 to the power of 1/2, to the nearest integer? 17395 What is the sixth root of 556169575 to the nearest integer? 29 What is the fourth root of 134592597 to the nearest integer? 108 What is the square root of 481414318 to the nearest integer? 21941 What is the tenth root of 21112664 to the nearest integer? 5 What is the square root of 1210105926 to the nearest integer? 34787 What is 51342721 to the power of 1/2, to the nearest integer? 7165 What is the cube root of 5087358125 to the nearest integer? 1720 What is 771894173 to the power of 1/3, to the nearest integer? 917 What is the cube root of 61977986 to the nearest integer? 396 What is the square root of 1141936017 to the nearest integer? 33793 What is 6887034 to the power of 1/2, to the nearest integer? 2624 What is the fourth root of 40865724 to the nearest integer? 80 What is the third root of 786928077 to the nearest integer? 923 What is the square root of 201953 to the nearest integer? 449 What is the square root of 3501413619 to the nearest integer? 59173 What is 744282367 to the power of 1/3, to the nearest integer? 906 What is 41863798 to the power of 1/2, to the nearest integer? 6470 What is 3700456533 to the power of 1/2, to the nearest integer? 60831 What is the fourth root of 324554334 to the nearest integer? 134 What is 967801717 to the power of 1/2, to the nearest integer? 31110 What is the square root of 267546283 to the nearest integer? 16357 What is the third root of 42534287 to the nearest integer? 349 What is the fourth root of 404005630 to the nearest integer? 142 What is the square root of 38260862 to the nearest integer? 6186 What is the cube root of 3306902 to the nearest integer? 149 What is the square root of 1696411698 to the nearest integer? 41188 What is 2937170 to the power of 1/3, to the nearest integer? 143 What is 45088847 to the power of 1/6, to the nearest integer? 19 What is the cube root of 574035026 to the nearest integer? 831 What is the eighth root of 1478704485 to the nearest integer? 14 What is 4773738 to the power of 1/9, to the nearest integer? 6 What is the square root of 340011230 to the nearest integer? 18439 What is 1046134897 to the power of 1/3, to the nearest integer? 1015 What is 116954234 to the power of 1/5, to the nearest integer? 41 What is 452476896 to the power of 1/8, to the nearest integer? 12 What is 96458073 to the power of 1/5, to the nearest integer? 40 What is 1889413811 to the power of 1/2, to the nearest integer? 43467 What is the eighth root of 24130848 to the nearest integer? 8 What is the cube root of 340946728 to the nearest integer? 699 What is the cube root of 39170784 to the nearest integer? 340 What is the square root of 269831010 to the nearest integer? 16427 What is the fifth root of 2956549135 to the nearest integer? 78 What is 46400227 to the power of 1/5, to the nearest integer? 34 What is 34390420 to the power of 1/2, to the nearest integer? 5864 What is 656647330 to the power of 1/5, to the nearest integer? 58 What is 3355888462 to the power of 1/9, to the nearest integer? 11 What is the square root of 43169414 to the nearest integer? 6570 What is the third root of 2792182776 to the nearest integer? 1408 What is 18179096 to the power of 1/5, to the nearest integer? 28 What is 121804733 to the power of 1/2, to the nearest integer? 11037 What is the third root of 3279169240 to the nearest integer? 1486 What is the square root of 2290924002 to the nearest integer? 47864 What is 1167858560 to the power of 1/4, to the nearest integer? 185 What is the third root of 3270347465 to the nearest integer? 1484 What is 109450352 to the power of 1/8, to the nearest integer? 10 What is 848430200 to the power of 1/2, to the nearest integer? 29128 What is 2883519408 to the power of 1/8, to the nearest integer? 15 What is the cube root of 106542229 to the nearest integer? 474 What is 151840792 to the power of 1/2, to the nearest integer? 12322 What is 35602158 to the power of 1/2, to the nearest integer? 5967 What is the square root of 242303456 to the nearest integer? 15566 What is 2516636307 to the power of 1/4, to the nearest integer? 224 What is the square root of 61581962 to the nearest integer? 7847 What is 70151329 to the power of 1/2, to the nearest integer? 8376 What is the cube root of 3954845 to the nearest integer? 158 What is the seventh root of 41018969 to the nearest integer? 12 What is 3600174909 to the power of 1/5, to the nearest integer? 82 What is the square root of 77134239 to the nearest integer? 8783 What is the seventh root of 67115550 to the nearest integer? 13 What is 164337983 to the power of 1/2, to the nearest integer? 12819 What is 40635302 to the power of 1/10, to the nearest integer? 6 What is the eighth root of 46317446 to the nearest integer? 9 What is 1560621404 to the power of 1/2, to the nearest integer? 39505 What is 179867047 to the power of 1/2, to the nearest integer? 13411 What is 305240190 to the power of 1/2, to the nearest integer? 17471 What is 194329771 to the power of 1/2, to the nearest integer? 13940 What is 478732076 to the power of 1/7, to the nearest integer? 17 What is 1006559389 to the power of 1/6, to the nearest integer? 32 What is 588885753 to the power of 1/8, to the nearest integer? 12 What is 17056123 to the power of 1/2, to the nearest integer? 4130 What is 153275859 to the power of 1/2, to the nearest integer? 12380 What is 2023162763 to the power of 1/4, to the nearest integer? 212 What is the fourth root of 52090016 to the nearest integer? 85 What is the cube root of 976579530 to the nearest integer? 992 What is 556104291 to the power of 1/3, to the nearest integer? 822 What is the sixth root of 9132931 to the nearest integer? 14 What is the square root of 17656360 to the nearest integer? 4202 What is the fifth root o
{ "pile_set_name": "DM Mathematics" }
Let l = 0.13 - -0.1175. What is l rounded to 2 dps? 0.25 Suppose -11*z - 12 = -14*z. Let b be (-180)/((-646)/(-160) - z). What is b rounded to the nearest one thousand? -5000 Let y(j) = -297003*j - 3. Suppose 0*r - 4 = 4*r. Let g be y(r). Round g to the nearest 10000. 300000 Let u = 39322 + -39323.9171. Let b = -1.93 - u. Let p = b - -0.015. What is p rounded to three dps? 0.002 Let j = 5.352 + -0.012. What is j rounded to 1 dp? 5.3 Let j(g) = 2*g + 48. Let u be j(0). Let x = u - 37. Round x to the nearest ten. 10 Let q(o) = o + 3. Let j be q(0). Let w be (j - 1753)*(-160)/2. Round w to the nearest one hundred thousand. 100000 Let u = 0.32 - 0.24. Let c = -0.0800101 + u. What is c rounded to six dps? -0.00001 Let j be 104/3*(-7)/(14/(-540)). What is j rounded to the nearest 1000? 9000 Let u = 9977 + -4727. Round u to the nearest one hundred. 5300 Let f = 0.66 + -0.660001428. What is f rounded to seven dps? -0.0000014 Let z = 4.8 + -2.46. Let g = 0.97 - z. What is g rounded to one dp? -1.4 Let j = 46 - 45.61. Let t = j - 0.38999721. What is t rounded to 7 decimal places? 0.0000028 Let j = -90.6 - -89.9176. Let g = 0.0596 - j. What is g rounded to 1 decimal place? 0.7 Let q(o) = -45442*o - 580. Let h be q(10). Round h to the nearest 1000000. 0 Let v = -270345176.000259 + 270345292. Let j = 116 - v. Round j to five decimal places. 0.00026 Let s = 3642228528 - 3642228366.0000169. Let h = 162 - s. What is h rounded to 5 decimal places? 0.00002 Let x(k) = -956*k**3 + 9*k**2 + 5*k - 8. Let v = -19 + 26. Suppose p = 2*z - 6, -4*z - v = p + 5. Let j be x(p). What is j rounded to the nearest 100000? 500000 Let y = 2725.9 + -2578. Round y to the nearest 10. 150 Let t = 156 + -272. Let j = t - -102.3. Round j to 0 dps. -14 Suppose 4*q = 8*q - 110400000. Let r(t) = t**2 - 8*t - 7. Let a be r(9). Suppose 5*g - q = a*g. Round g to the nearest 1000000. 9000000 Let s = 1304.9076 - 11025.914. Let n = s + 9713. Let p = 8 + n. Round p to three decimal places. -0.006 Let i = -78.86 - -79. Let z = -14.46 - i. Round z to the nearest ten. -10 Let t = 178723.983663947 + -1.069963947. Let l = 178715 - t. Let p = l + 7.9. What is p rounded to three dps? -0.014 Suppose t + 2*t = 0. Suppose 2*i - i = t. Let k be i + 0 - (-400000)/(-1). What is k rounded to the nearest 1000000? 0 Let c = -26 - -25.986. Let s = c - -0.244. What is s rounded to one decimal place? 0.2 Suppose -28*b - 10 = -33*b. Let l be (-6 + b)/(22/693). What is l rounded to the nearest ten? -130 Let z = -514832980.50000017 + 514832983. Let x = -2.54 - -0.04. Let d = x + z. Round d to 7 dps. -0.0000002 Let p = -1113407 - -1113422.999984. Let l = p + -16. What is l rounded to 5 dps? -0.00002 Let z = -1.21 + 1.2111015. Round z to four dps. 0.0011 Let c(q) be the second derivative of -60001*q**5/20 - q**4/4 - q**3/6 + q**2 + 3*q. Suppose -7*l - 15 = -1. Let k be c(l). Round k to the nearest 100000. 500000 Let m = 575 + -1057. Let a = m + 482.0000239. Round a to 6 dps. 0.000024 Let h = -87461.76978 - -87463. Let x = 1.23 - h. What is x rounded to 4 dps? -0.0002 Suppose 3*k - 2*p - 1353219 = -405782, 2*k - 631628 = -2*p. Suppose 4*f = 256187 + k. Round f to the nearest 10000. 140000 Let x = 849 + -848.99998178. What is x rounded to 7 dps? 0.0000182 Let b = 3509 - 3078.6. Let z = b - 628.169. Let p = -198 - z. What is p rounded to 2 decimal places? -0.23 Let p = -38203 + -15797. What is p rounded to the nearest one hundred thousand? -100000 Let u = 3.305 + -2.9. Let j = u - 0.4050199. Round j to 6 dps. -0.00002 Suppose -1 = d - 4. Suppose -d*u - 15 = -5*a + 2*u, u = 1. Suppose -a*o + 5*g = -2960005, -869290 = -3*o + g + 1350711. What is o rounded to the nearest 100000? 700000 Let t = 562 + -515.15. Let g = -0.05 - t. Round g to the nearest ten. -50 Let t = 1020 + -1062.7. Let b = 71 + t. Round b to 0 decimal places. 28 Let q = 21.160823 + -29.1608158. Let w = -0.06 - 7.94. Let c = w - q. What is c rounded to six dps? -0.000007 Let q = -66.32 + 49. Let u = q + 20.6. Let j = u - -0.32. Round j to the nearest integer. 4 Suppose -13*d + 10*d - 6822 = 0. Let s = d - 1036. Round s to the nearest one hundred. -3300 Let w = 0.1532 + -0.228. Let b = -0.7392 + w. Round b to one decimal place. -0.8 Let u(r) = -r**2 + 17*r + 72. Let q be u(21). Let v = 37 - 77. Let m be (v/q + -1)*-3. What is m rounded to the nearest 10? -10 Let g = 99 + 61. Suppose -11*d - g = -10*d. What is d rounded to the nearest 10? -160 Let q = 0.05432 - 0.16194. Round q to 2 dps. -0.11 Let t = 208.221 - 208. Let x = 0.051 - t. What is x rounded to 1 dp? -0.2 Let b = 0.038425 - 0.03242429. Let g = -0.006 + b. What is g rounded to 7 decimal places? 0.0000007 Suppose -3*s + 345 = -3*b - 2490, 4*b - 2821 = -3*s. Let w = 1843 - s. Suppose -3*o + 4*o = w. What is o rounded to the nearest one thousand? 1000 Let j = 26.302 - -0.298. Let u = j - 37. What is u rounded to the nearest integer? -10 Let i(t) = -180039*t**3 - 2*t**2 - 12*t + 192. Let b be i(8). What is b rounded to the nearest 1000000? -92000000 Let k = -3744 - -3743.93388. Let o = 0.065 + k. Round o to four decimal places. -0.0011 Let g = 315337.81917 - 315483.82. Let r = -146 - g. What is r rounded to 4 dps? 0.0008 Let a = -148284113016.00038 - -148285855777. Let x = 1742793 - a. Let s = x + -32. What is s rounded to four dps? 0.0004 Let z = 0.58942765 + -1.1994235. Let r = 0.61 + z. What is r rounded to 6 decimal places? 0.000004 Let t = -0.24042 + -920.99358. Let z = t - -922. What is z rounded to 1 decimal place? 0.8 Let f = 279.3 - 152.7. What is f rounded to the nearest ten? 130 Let h = 8010 + -12779. What is h rounded to the nearest one thousand? -5000 Let u = 6.98 - 8.9. Round u to one dp. -1.9 Let f = -265.95 + 31.24. Let d = 31.8 - 264.8. Let n = f - d. Round n to 1 decimal place. -1.7 Let w be (-27303)/(-9) + 2/6. Suppose c = -w + 197. Let j = c + 4477. What is j rounded to the nearest one hundred? 1600 Let w be 1 + 57949425/105 + (-4)/14. Round w to the nearest 10000. 550000 Let v = -12904721 + 12904667.00099. Let j = 0.04 - -53.96. Let p = j + v. Round p to four dps. 0.001 Let b = -66.1 + -4.9. Let u = 747820.0139 + -747891. Let a = u - b. Round a to three dps. 0.014 Let a = -0.05 + 3.05. Let l = a + -3.00000176. Round l to seven dps. -0.0000018 Suppose -5*u + 13 = -i - 1, -4*i + 2*u + 34 = 0. Suppose 0 = -w - 15 - i. Round w to the nearest 10. -30 Let f = 5691 - 9895. Let v = f + 354. Round v to the nearest 1000. -4000 Let h = 69.793 + -70. Let p = 1.1269807 - 0.91998169. Let n = p + h. Round n to seven dps. -0.000001 Let t = -4044712.941 + 4046383. Let m = t + -1671. What is m rounded to 1 decimal place? -0.9 Let x(m) = -58294*m - 1. Let g be x(-1). Let w = -83293 + g. Let u be (-33 + -1 + -2)*w. Round u to the nearest one million. 1000000 Let r = -766.5008787 + 766.5. What is r rounded to four dps? -0.0009 Suppose 3*l - 279991 = 4*q, -5*q - 266484 - 83522 = 2*l. Round q to the nearest one hundred thousand. -100000 Let m = -0.9 + 0.8. Let x = m + 0.04. Let g = -0.07 - x. Round g to 3 decimal places. -0.01 Suppose r + 2*r = 0. Let c be r - (-2 - -2303) - -1. Round c to the nearest one thousand. -2000 Let g = -46.074685081 + 0.074626081. Let w = g - -46. Round w to 5 dps. -0.00006 Suppose o + 2 = -d - o, 57 = 4*d - 5*o. Suppose -2*k - 3293 = 3*i - 499, -4*i + d = 0. Round k to the nearest 100. -1400 Let w = 32.6 - 47.9. Let x = -26 - w. Let d = x + 10. Round d to 1 decimal place. -0.7 Let h = 1931 + -1931.0001774. Round h to five dps. -0.00018 Let t = 57 - 55. Let d be (-111 - (-8)/t)*-20. What is d rounded to the nearest one hundred? 2100 Let v = -332 + 331.8037. What is v rounded to two dps? -0.2 Let z = -3549.00002553 - -3549. Round z to 6 decimal places. -0.000026 Let z = 0.02876 + 0.02267. What is z rounded to three decimal places? 0.051 Let u = -5154452 - -5609373.8. Let d = u - 454921.9999991. Let j = -0.2 - d. What is j rounded to 6 dps? -0.000001 Let j = 71.86 + 0.14. Let f = j - 71.9999955. What is f rounded to six dps? 0.000005 Let k = -43 - 235. Let s = 292.7 + k. What is s rounded to zero dps? 15 Suppose -71 = -4*q - 19. Suppose -n - 4*n = 3*h - 31, 0 = h - 3*n + q. Suppose -2*f + t + 4 = 0, -h*f - t - 2 = -6. What is f rounded to the nearest 10? 0 Let m be (-2)/6*(-
{ "pile_set_name": "DM Mathematics" }
What is the difference between -502.6473 and -16208197? 16207694.3527 -390 - -12272.7045055 11882.7045055 What is 263 minus 94.4916863163? 168.5083136837 Total of -31.2009390985 and 0.3. -30.9009390985 Subtract -34741 from -19.3341828. 34721.6658172 What is -84694369070 take away -39.5? -84694369030.5 -6 + 2285401466469 2285401466463 Add -174 and 4771431390. 4771431216 -1539570633+273 -1539570360 What is the difference between 0.3923 and 204560583.1? 204560582.7077 Sum 18776653636.6 and -75. 18776653561.6 Add 19822.66711 and 129. 19951.66711 What is 69.79 take away 7406169319? -7406169249.21 Subtract -2 from -5756596397720. -5756596397718 What is the distance between 612.155218 and -14.161? 626.316218 What is -0.093 + 0.0083592157? -0.0846407843 Calculate 418.54206 - -2.3344. 420.87646 What is 285 minus 9511.57999? -9226.57999 Calculate 1080 - -1816320342. 1816321422 Work out -18244354479 - 0.3. -18244354479.3 -1351731+-6817598 -8169329 What is the difference between -865077 and -0.1316524? 865076.8683476 -59.27 + 13376695.8 13376636.53 Add -675 and -433.1827235. -1108.1827235 What is 16.644054258 + 12484? 12500.644054258 What is 68441 - -1079.7026784? 69520.7026784 2779709+-238.15 2779470.85 Add together -453047.9 and 5222. -447825.9 Work out -1507756696 - 0.354. -1507756696.354 Put together -0.345845 and 0.2825931. -0.0632519 Add -62.7 and 60.054246. -2.645754 21156740818 + 0.31172 21156740818.31172 Total of 124 and -19.1221526006. 104.8778473994 What is 102 plus 596.19049001? 698.19049001 Subtract 2004 from -0.98476069. -2004.98476069 Total of 1209.1716 and 132638. 133847.1716 Calculate 0.0689 - 10084303179. -10084303178.9311 What is -6653020761623 take away -0.5? -6653020761622.5 What is -0.3 less than 3445980.634? 3445980.934 -110879.138+7.993 -110871.145 Put together 26500341 and -71042607. -44542266 What is -0.0567303984 plus -25.7? -25.7567303984 Sum 1 and -17513164700935. -17513164700934 What is the difference between -6.8 and -1754224490.4? 1754224483.6 2648545262711+2 2648545262713 Subtract 16835846687412 from 2.4. -16835846687409.6 Work out 1 + -127694726361. -127694726360 What is 64920955708536 plus -5? 64920955708531 Work out -5.219533 + 0.03458. -5.184953 86791.520381+1.9 86793.420381 -57.075 - -4197 4139.925 Calculate -34687.059097179 + 0.05. -34687.009097179 -46000930.503 - 0.5 -46000931.003 Add together -48775 and -2012528. -2061303 Calculate -5558447.964 - -166.45. -5558281.514 What is -158870770 - -1.866609? -158870768.133391 What is -25029033534726 - -23? -25029033534703 What is 981633.89843 + -0.1? 981633.79843 -15.309 + 23793037372 23793037356.691 Total of -265319 and 40913854. 40648535 Work out -160.130068 + -39.5. -199.630068 Total of 12375858434.9 and 0.684. 12375858435.584 Calculate 0.1 + -4048780003300. -4048780003299.9 Subtract 4870.417807 from -1242. -6112.417807 Put together 62.652 and 678469. 678531.652 Add -2066644867.24 and -66.8. -2066644934.04 What is -0.37 plus -20045470442? -20045470442.37 Add 13630.19 and 4.23412. 13634.42412 What is the difference between -0.5 and 522786654543? 522786654543.5 Put together -77615499763 and 4372. -77615495391 2.27841 - -0.4275511 2.7059611 What is 647 - 246047900119? -246047899472 Work out -5 - 79050693414. -79050693419 What is 0.3 plus -16701327141? -16701327140.7 Work out 1.6987 - 14974579. -14974577.3013 -537819.890105 - -1 -537818.890105 What is -4361 less than -113851953.76? -113847592.76 Calculate 15.22 - 14738933. -14738917.78 What is the distance between -18766841090 and 1? 18766841091 1 + -2375554785321 -2375554785320 What is the difference between -13 and -176.087931829? 163.087931829 Subtract 13767029559 from -245.87. -13767029804.87 What is the distance between 1042857 and 0.006341? 1042856.993659 Work out -0.007074 - 592089. -592089.007074 What is -85.7945 plus -75988? -76073.7945 4+5032266066.1 5032266070.1 Work out -155.26348 - -44985201. 44985045.73652 Calculate 0.276097753 + -257.9. -257.623902247 Work out -6 - -89510832621. 89510832615 2582 - -1080705160 1080707742 -376382.4403 - -587 -375795.4403 Work out -730543.6 - -1.87302. -730541.72698 What is -0.0620164462358 take away -6? 5.9379835537642 Sum -923563.681 and 329.6. -923234.081 -263439205646 + 0.2 -263439205645.8 Add together 3736 and -16207652. -16203916 -3540 - 316572580 -316576120 Subtract -491 from -19.28988521. 471.71011479 What is 1 - -11706190883099? 11706190883100 What is 10228 minus 2259941924? -2259931696 37996161845 + -12.4 37996161832.6 Add -235.22 and -2998706788. -2998707023.22 Add -2001.781 and 1.7246719. -2000.0563281 What is -12.11111537 take away -6.3? -5.81111537 -1.40263158 + 156499 156497.59736842 What is -5 minus 3289259.8553? -3289264.8553 -46 - -91021562.83 91021516.83 -5052170+10088.23 -5042081.77 What is -5.181590697313 take away -4? -1.181590697313 Sum 0.047786 and 142730. 142730.047786 -28659934430 - 7 -28659934437 0.172 - -255435.57506 255435.74706 Calculate -411.2 + -129.04312007. -540.24312007 What is 1340633853 plus 487? 1340634340 -18465652 + 1100 -18464552 0.1 + 1.78228795115 1.88228795115 18472663 - 757.19957 18471905.80043 Calculate -49156970190053 + 0.4. -49156970190052.6 Work out 6967204 + -39706. 6927498 Sum 15 and 7275628459087. 7275628459102 -2225395024022 - 5 -2225395024027 -969653+1704.903 -967948.097 Subtract 6269.0027 from 41403. 35133.9973 Put together 10228.2236855 and 0.24. 10228.4636855 Subtract -120364.537585 from 3. 120367.537585 Work out 3253337123.84 - 12. 3253337111.84 -0.42+-5174582700 -5174582700.42 What is -0.8 + 86704320216? 86704320215.2 What is -699159.38 less than 11121? 710280.38 0.88836 - -4765646 4765646.88836 What is the difference between -5755616731 and -1058? 5755615673 What is -3139 + 13.3772525? -3125.6227475 Calculate -61166220 - -6.999195. -61166213.000805 What is 1164801.937 + -1344.4? 1163457.537 Put together -0.077 and 2959.0368546. 2958.9598546 What is 46534 less than 1569791367? 1569744833 Subtract 5.1413 from 0.02210012. -5.11919988 0.6621 - -10310854 10310854.6621 10472603+-0.178667 10472602.821333 Work out -39 - 4309955814. -4309955853 Add together -8775101999 and -1.4. -8775102000.4 What is 11 - -235799733023? 235799733034 What is 2 + 4822747378685? 4822747378687 What is 6373.5861 less than 0.23941? -6373.34669 What is -42522 + -9855640404? -9855682926 Sum -2446392445.26 and 0.0866. -2446392445.1734 Put together 6 and 267685308652. 267685308658 What is 1.40918 less than 1143361.1? 1143359.69082 Work out 15.685753 + -0.125379. 15.560374 Work out -2414985090 + -1871. -2414986961 What is -0.14137945449 less than 0.17? 0.31137945449 Total of -29 and 499943018. 499942989 Put together 60135575167 and -0.5. 60135575166.5 -320788545202.6+0.03 -320788545202.57 What is 298441.044 - 100.597? 298340.447 -59282554.8178 - 0.2 -59282555.0178 -1.0706 - 0.050949459 -1.121549459 Work out -10 - 21948183683083. -21948183683093 What is 0.127984558 + -0.349263? -0.221278442 Add together 186832436 and -15.6865. 186832420.3135 Put together 39390608551433 and -2. 39390608551431 Work out -267038309834 - 6. -267038309840 What is 4.3 - 1369387703? -1369387698.7 Total of -0.5956483839 and 5984. 5983.4043516161 Add 43.8268712 and -128. -84.1731288 Sum -497 and -106650501415. -106650501912 What is 0.206 - 82095999.9? -82095999.694 Sum 2.2124633565 and 2.796. 5.0084633565 Calculate -115882705 - -1.446539. -115882703.553461 Calculate -0.3 - 19730168703618. -19730168703618.3 What is -3.184474090834 less than -9? -5.815525909166 -3 - -33322997157626 33322997157623 Subtract 271542632881 from -328. -271542633209 Calculate -385.23 - 47.45341306. -432.68341306 What is 775 take away -955489521? 955490296 Sum -0.214971 and 650.19. 649.975029 Work out 7726858918 - -0.017. 7726858918.017 Total of 340882.462 and 3002. 343884.462 What is the distance between 349175886961 and 98? 349175886863 What is -6.37 + -13878594678? -13878594684.37 What is 3 plus 68510804726? 68510804729 What is 1163.682 minus 27881.8? -26718.118 What is the distance between 0.1 and 82371449733908? 82371449733907.9 What is 23740307982978 minus 0.4? 23740307982977.6 What is 11815185764310 take away -3? 11815185764313 -1057 + -8092.2291 -9149.2291 11869+-1.444377 11867.555623 What is -6945
{ "pile_set_name": "DM Mathematics" }
2 c What is the nearest to -1 in 0.3, -4, 1/79, -0.3? -0.3 What is the nearest to -0.017 in 4, -1, -0.9? -0.9 Which is the nearest to -0.06? (a) 0.2 (b) -42/17 (c) 2 (d) 0.5 a What is the closest to -1/60 in -0.3, -13, 1, -2? -0.3 What is the closest to 0 in -11, 2, -0.5? -0.5 Which is the nearest to 1/4? (a) 0.3 (b) 2/9 (c) -0.1272 b What is the nearest to -0.2 in -19, 8, 0.5, 1? 0.5 What is the closest to -3 in 3, -0.6, 0, 0.5? -0.6 What is the nearest to -2/11 in -0.2, 0.1, -2, -1? -0.2 What is the nearest to 2/19 in -1, -0.151, 1/8, -0.1? 1/8 What is the nearest to 0.2 in 1/2, -0.05, -0.4, 0.1? 0.1 What is the closest to 2/5 in 3.95, 0.5, 2, -2/5? 0.5 What is the closest to -1 in -5.6, -2/5, 5? -2/5 Which is the closest to 0.062? (a) -3 (b) -0.4 (c) -1 b What is the closest to 0.7 in 0.4, -3/2, -0.3? 0.4 Which is the nearest to 2? (a) -3 (b) -5 (c) -0.0205 (d) 3 d What is the nearest to 2/17 in 1/3, 0.2, 4? 0.2 What is the closest to -1 in -11, 2, -5, -1/3? -1/3 What is the nearest to 2/5 in -67, 2/7, -4, 2? 2/7 Which is the closest to -2/9? (a) 0 (b) 16/3 (c) -0.1 (d) -2 c What is the closest to 1 in 0.2, -3, -5, -1/4? 0.2 Which is the closest to -8? (a) 5 (b) 70 (c) 1 c Which is the closest to 2? (a) 0.3 (b) -0.2 (c) 3 c What is the closest to -4 in -1, -1/2, 7? -1 What is the closest to 2/7 in -4, -1, 3/11? 3/11 Which is the closest to 2? (a) -5 (b) 2 (c) 1/6 (d) 3 b What is the closest to 1 in -3, -5, 6, -19? -3 What is the closest to 22 in -2/15, 3, 4? 4 Which is the nearest to -1? (a) -0.07 (b) -3 (c) 5 a Which is the nearest to -26/5? (a) 1/2 (b) 3 (c) -4 c What is the closest to 1 in 278, 1, -2/7? 1 What is the nearest to -11 in -2/3, -2/5, -0.1? -2/3 Which is the nearest to 3? (a) 0.5 (b) 2/15 (c) -2 (d) 2 d Which is the nearest to -104? (a) -1/4 (b) 0.4 (c) 4 a Which is the nearest to -1/6? (a) -2/15 (b) 2 (c) 3 a Which is the closest to 5? (a) 10 (b) 0.1 (c) -9 b Which is the nearest to 1? (a) -0.1 (b) -6 (c) 1 c What is the closest to 0.035 in 0, 1/6, -5, -1/4? 0 What is the closest to -1.3 in 1/6, 3, -3/5? -3/5 Which is the closest to 0? (a) 0 (b) 0.5 (c) 2194 a What is the nearest to -0.1 in 11/3, 4, 0.4, 3? 0.4 What is the closest to -1/2 in 2/5, -2/9, -5? -2/9 Which is the nearest to -1? (a) 2/3 (b) -0.1 (c) -0.14 (d) 0 c What is the closest to -1/2 in 0.4, -0.8, 3? -0.8 Which is the nearest to 0.28? (a) 4 (b) 0.2 (c) -2 b Which is the nearest to 0? (a) 99 (b) 1/2 (c) -3 b What is the nearest to -0.2 in 1/6, 360, 0.3, 1/5? 1/6 What is the nearest to -1 in -2, 2, 176, 5? -2 What is the nearest to 0.133 in -0.5, -2/9, -3, 1/2? -2/9 What is the closest to 2 in -5, 5, 11? 5 What is the closest to 382 in 3, -5, -3? 3 What is the closest to -0.1 in -0.32, -1, 0.2? -0.32 What is the nearest to -6/5 in 0.01, -1/24, 0? -1/24 What is the closest to -2/103 in 1, 0.5, 2? 0.5 Which is the closest to -1/3? (a) 1 (b) -1 (c) -3 (d) -154 b What is the closest to 2/9 in -13, -4/5, 4, 0.28? 0.28 Which is the closest to 0? (a) -1 (b) -2 (c) 8/19 (d) -2/7 d What is the closest to 2 in -2, -5, -4, -0.2? -0.2 What is the closest to -0.29 in 0.1, 0.4, 6/5, 2? 0.1 What is the closest to 45 in 4/9, 0, -25? 4/9 What is the nearest to -3772 in 2/19, -2/3, -1? -1 Which is the closest to 0.4? (a) -0.88 (b) -2/7 (c) -2 (d) -0.1 d Which is the nearest to 2? (a) 4 (b) 0.07 (c) 0.5 c Which is the nearest to 2? (a) 9 (b) 2/23 (c) -1/2 (d) 1 d What is the closest to -2 in -104, 0, -3/5, -1? -1 What is the nearest to 18 in 0.1, 0, 3/2? 3/2 Which is the nearest to -1/20? (a) 1 (b) 3 (c) 5 a What is the closest to -2 in 2/89, 12, -4, -1/2? -1/2 Which is the closest to 0.1? (a) 22 (b) 0.4 (c) -5 (d) -0.13 d What is the closest to 1/4 in 10, 9/11, -1/5? -1/5 Which is the nearest to -4? (a) 2/19 (b) -0.4 (c) 0 b Which is the closest to -2? (a) 0.007 (b) -2/11 (c) 0.4 b What is the nearest to 0 in 0.003, -3, 1/2? 0.003 Which is the closest to 1.1? (a) 13 (b) -5/3 (c) 1/11 c Which is the nearest to -0.08? (a) 171 (b) 4 (c) 3/7 c Which is the closest to -1? (a) 5 (b) -881 (c) 3 c Which is the closest to -1? (a) -3 (b) -10 (c) -1/6 c What is the nearest to 0 in 67.7, -0.3, 1? -0.3 Which is the closest to 0? (a) -2/9 (b) -3/4 (c) -2/15 (d) 1/2 c What is the closest to 0.1 in 1, 210, 3? 1 Which is the nearest to -2/5? (a) 10 (b) 1/9 (c) 4 (d) -1/8 d Which is the closest to 3? (a) -24 (b) 1 (c) -5 b Which is the nearest to -3? (a) 0.1 (b) 1.13 (c) -2/7 c What is the nearest to -0.5 in 5, 0, 1? 0 Which is the nearest to -2/11? (a) 2/15 (b) 0 (c) 0.07 (d) 2 b Which is the nearest to -0.1? (a) 0.3 (b) -2 (c) -16 (d) -5 a Which is the nearest to -2? (a) -2 (b) 1/14 (c) 18 a What is the nearest to -7 in -0.8, 5, -4, -3? -4 What is the nearest to -0.1 in 0.5545, -1/3, 0.5? -1/3 Which is the nearest to 0? (a) 0.4 (b) 3 (c) -1/6 c Which is the closest to -2? (a) 0.091 (b) 4 (c) 2/11 a Which is the closest to 2? (a) -4 (b) -0.3 (c) 3 (d) -2/5 c Which is the nearest to -1? (a) -12 (b) -29 (c) 3 c What is the closest to -16 in 5, 0, -0.051? -0.051 What is the nearest to 1 in 2/11, -4, -2/3, -1? 2/11 Which is the nearest to 1? (a) -2/3 (b) 4 (c) 112 (d) 0.3 d What is the nearest to -1 in 1, -5, 7? 1 What is the closest to 0 in 0.6, 0, -150, -3? 0 Which is the nearest to 1/3? (a) -1 (b) 1/18 (c) 0.3 c What is the nearest to -9 in -5, -1/4, 3? -5 Which is the closest to 2/5? (a) -1/8 (b) -21 (c) -1/2 a Which is the closest to 0.01? (a) 3 (b) 4 (c) -4 a Which is the closest to 0? (a) -29 (b) 4 (c) 0.01 (d) -1 c Which is the nearest to -2/7? (a) 3/41 (b) -4 (c) -0.03 c Which is the closest to 0? (a) 8 (b) -3 (c) 4 (d) -4/3 d Which is the closest to 1/4? (a) -3/8 (b) -2 (c) -1/2 (d) 2 a Which is the closest to -21/5? (a) -1 (b) -0.3 (c) -2/13 (d) 2/3 a What is the nearest to 1 in -81, 3, -4? 3 What is the closest to -1/2 in 0.24, 0.2, -5/2? 0.2 What is the nearest to 0 in 2/13, 1/8, 21? 1/8 Which is the closest to -2? (a) -5 (b) -0.2 (c) 0.1 (d) 0 b Which is the closest to 1/3? (a) -3 (b) -5 (c) -3/8 c Which is the closest to 2? (a) -5 (b) -0.08 (c) 0.3 (d) 2/19 c Which is the closest to -125.3? (a) -2 (b) 0.3 (c) 4 a Which is the closest to 1? (a) -198 (b) -5 (c) -3 c Which is the closest to 0? (a) -6/11 (b) 0.2 (c) 0.1 c What is the nearest to -2/5 in 4, 6/11, -3/2, 3/4? 6/11 Which is the closest to -0.1? (a) -2 (b) -10 (c) -0.2 (d) 2 c Which is the closest to 0? (a) -1/3 (b) -3 (c) 2 (d) 6 a What is the nearest to 2/3 in 5, 7, -1/6, 5/22? 5/22 What is the nearest to -0.1 in -66.5, -0.5, -5, -0.1? -0.1 What is the closest to -3 in 24, 2/15, -1/5? -1/5 Which is the nearest to -24? (a) -4 (b) -5 (c) 2 b Which is the nearest to 1? (a) 1/41 (b) -0.5 (c) -4 a Which is the nearest to -127? (a) -1/3 (b) 1 (c) 3 (d) -1 d Which is the nearest to 2/25? (a) 4 (b) -4 (c) -1/3 c What is the nearest to 3 in -0.04, 0, -0.5, -3/2? 0 What is the closest to -1/3 in 0, 4, 3, 2/7? 0 What is the closest to 1 in 0.4, 180, -0.1? 0.4 What is the closest to 0.064 in -0.5, 5, -5/2, -3/4? -0.5 Which is the closest to -2? (a) -1 (b) 0.5 (c) 92 (d) -0.1 a What is the closest to -2/11 in -0.021, 3, -5, -1/5? -1/5 What is the closest to -9.1 in -1, 0.4, 1/5? -1 Which is the closest to 1? (a) 1/5 (b) 91 (c) -1 a Which is the closest to -0.1? (a) -3 (b) 4 (c) 0.05 c Which is the nearest to 2/9? (a) 2/11 (b) -1.2 (c) -5/21 a Which is the closest to -2/13? (a) 4/5 (b) 2 (c) 9 (d) 4 a Which is the nearest to -1? (a) 4 (b) -0.3 (c) 1.7 (d) 2/23 b Which is the closest to -542? (a) -0.3 (b) 4/5 (c) -0.2 a What is the closest to -15/4 in -1/4, -0.1, -2/7, -2? -2 What is the closest to -1 in -3/4, 3, -4/3, -0.01? -3/4 Which is the closest to 0.3? (a) 4 (b) -10 (c) 5 a What is the nearest to -0.1 in 3, 71, 5, -2/3? -2/3 Which is the closest to 0.1? (a) 3 (b) 309 (c) 1 (d) 0.5 d Which is the closest to -0.1? (a) -0.2 (b) 1 (c) -0.07 c What is the closest to -0.1 in -0.8, -1/5, -2/35? -2/35 Which is the nearest to 1/7? (a) 5 (b) 2 (c) 4 (d) -0.05 d Which is the nearest to 1
{ "pile_set_name": "DM Mathematics" }
ess -47 + 44*k**2 - 61 - 82 + 290 - 5*k**2 as t*k + d + p*k**2 and give p. 39 Rearrange (k + 3 - 3)*(-9248 - 6087 + 7228) to s + r*k and give r. -8107 Express (3 - 1 - 3)*(-2 + 4 - 3)*(-6 - 7 + 2)*((7 - 30*b - 7)*(5 - 6 - 1) - 4 + 5*b + 11 - 5) as h*b + z and give z. -22 Rearrange (1 - 2 + 0)*(-98 + 57 + 52)*(3*v + 2*v - 2*v)*(2 - 5 - 1 - 2) to the form x + s*v and give s. 198 Express -510*q + 375*q - 3748*q - 4785*q - 361*q as b*q + p and give b. -9029 Rearrange 40*t - 158*t - 1890*t**2 + 61*t + 56*t to the form z*t**2 + f + m*t and give m. -1 Rearrange -294*n**2 - 319*n**2 + 11 - 3*n + 1025*n**2 - 354*n**2 + 2*n to the form x*n + o*n**2 + j and give o. 58 Rearrange 71*u**4 + 56*u**4 - 5*u**4 + (0*u**2 - 4*u**2 - u**2)*(-2544 + 2544 - 59*u**2) to the form l*u**3 + k*u**2 + j + x*u + p*u**4 and give p. 417 Express -222 + 100 + 121 - 927*a - a + a + a + (5 - 3 - 3)*(-2 - 8*a + 2) in the form q + c*a and give q. -1 Rearrange -50 + 680*i**3 + 35*i - 175*i**3 - 166*i**3 - 170*i**3 - 171*i**3 to k*i**2 + u + w*i**3 + q*i and give w. -2 Rearrange (-9 + 5 - 8)*(-28*p + 18 - 18) - 2*p - 3*p + 0*p + 1 to the form f*p + h and give h. 1 Express -5008 + 5008 - 10695*k in the form h*k + r and give h. -10695 Rearrange 497*s - 25*s**3 - 864*s + 367*s + 68*s**2 - 1 to a*s**3 + z*s + t*s**2 + o and give o. -1 Express (-2*j**2 - 81*j**3 + 13*j - 76*j + 58*j + (5*j**3 - 5*j**3 - 2*j**3)*(2 - 3 + 0))*(-2 + 5 + 1 + j) as s*j**2 + o + v*j + r*j**3 + t*j**4 and give s. -13 Express -116*x**2 - 102*x**2 + 179*x**2 - 12 as v + a*x**2 + k*x and give v. -12 Rearrange -110*a - 498*a + 544*a - 1780*a - 1503*a to u*a + h and give u. -3347 Rearrange 0 + 1663*r + 0 + 62*r to the form g + s*r and give s. 1725 Express (-37*c - 49*c - 35*c + (1 - 2*c - 1)*(-4 + 2 + 0) + 4*c - 3*c + c)*(0*c + 5*c**2 - 2*c + 4*c) in the form x*c + m*c**2 + l*c**3 + u and give l. -575 Express -7869*f**2 + 667*f**2 + 2820*f**2 - 6234*f**2 as p + y*f**2 + n*f and give y. -10616 Rearrange -1216*c**4 - 1764*c**4 - 122*c**4 - 1362*c**4 + (-3 + c**3 + 3)*(-2*c + 2 - 2) to w*c**2 + a + o*c**3 + j*c + v*c**4 and give v. -4466 Express 883*q**3 - q**2 - 62632 + 62633 + 1418*q**3 as t*q**3 + d*q + s*q**2 + z and give t. 2301 Express (3*t - 5*t + t)*(146 - 43 + 340) - t - 3*t - t + (1 + 0 + 0)*(2*t - 4*t + 0*t) as h + s*t and give h. 0 Rearrange -1115*d**2 + 209785*d - 754*d**2 - 209785*d to q*d**2 + p + v*d and give q. -1869 Rearrange -10578*w**2 - 15*w - 20*w - 43*w**3 - 84*w + 10578*w**2 to j + g*w**3 + x*w + s*w**2 and give g. -43 Rearrange -78*r**3 - 1 - 2*r**2 + 50*r**3 - 12*r**3 + r + 2*r to l*r + w*r**3 + n + k*r**2 and give l. 3 Rearrange (75*j - 19 - 68*j + 60)*(4 - 2 - 4)*(-10*j - 9*j + 10*j) to o + h*j + l*j**2 and give h. 738 Express 6*f**3 - 6*f**4 + 60*f - 40*f + 1 - 13*f - 9*f in the form z*f**3 + l + x*f**4 + g*f + j*f**2 and give z. 6 Rearrange 54 + 54 - 169 + 61 + 20324*k to d*k + b and give d. 20324 Rearrange (-u + 1 - 1)*(-3 + 2 + 2) + (2 - 1 - 2)*(3*u + u - 3*u) + 0 + 2*u + 0 - 2*u + 6*u - 2*u + (2 - 8 - 2)*(-u + 2 - 2) to i + d*u and give d. 10 Express 46*h - 46129*h**2 + 39060*h**2 + 48*h - 94*h in the form v*h**2 + k + l*h and give v. -7069 Rearrange (25 - 73 - 53)*(118*t**3 - 85*t**3 - t**2 - 6*t**2) to u + f*t**3 + y*t**2 + b*t and give f. -3333 Rearrange (5 - 5 - m)*(42713 - 94642 + 41633) to the form x + i*m and give x. 0 Express 7850*c - 7826*c - 3*c**3 + 0 + 2*c**2 + 8*c**4 + 0 in the form o*c + i*c**2 + b*c**4 + d + x*c**3 and give o. 24 Rearrange 12*o**2 + 87*o**3 - 6 - 2 - 168*o**3 + 88*o**3 + o**4 + 1 to the form l*o**2 + h*o**3 + q*o**4 + w*o + f and give q. 1 Rearrange (126420 - 101*h - 126420 + (-3 + 3 + 2*h)*(0 - 1 - 1) - 4*h + 0*h + 3*h)*(2*h - 2*h - 2*h**3) to z + w*h**3 + o*h**4 + d*h + a*h**2 and give o. 212 Rearrange (3*z + 2*z - 2*z)*(-2 + 0 + 6)*(-629*z - z**2 - 215*z - 155*z) to q*z**3 + j + r*z**2 + x*z and give r. -11988 Express 3 - 3 + r + (-4 - 1 + 4)*(-5*r + 2*r + r) - r - 2 + 2 + 258 + 248 - 718 + 30305*r + 212 in the form v + h*r and give h. 30307 Rearrange -t - 91*t**2 + 92*t**2 - t + (-5*t + t + t)*(t - 1 + 1) to n*t + s + l*t**2 and give s. 0 Express (3*s - 5594 + 27693 - 2786 - 3841 - 3028)*(-s + 5*s - s) as r*s**2 + m*s + t and give r. 9 Express -4*y + 1 - 4601*y**2 + y**3 + 2*y + 4458*y**2 as f*y**2 + i + k*y**3 + g*y and give k. 1 Rearrange -7*p**3 + 3*p**3 - 8*p**2 + 1226*p**4 - 1225*p**4 to the form c + x*p**2 + f*p**4 + w*p**3 + i*p and give f. 1 Express 42*b**2 + 1240*b + 5116*b - 3 + 40*b**2 + 39*b**2 - 122*b**2 as f*b**2 + r + z*b and give f. -1 Rearrange 458*b - 391*b - 12*b**2 + 1094*b + 9*b**2 + 41*b to the form c*b + r + i*b**2 and give c. 1202 Express -12*b**3 - 12 - 2*b**2 - 30442*b - 3*b**3 + 30441*b - 2*b**2 in the form s*b**3 + f*b + j + x*b**2 and give j. -12 Express -125*i + 582 - 578 - 35*i + 45*i as h*i + n and give h. -115 Rearrange 99125*c + 2*c**2 + 2 - 98279*c - 2 to the form p + a*c + q*c**2 and give a. 846 Express -3*v**2 + 247*v + 299*v - 428*v as d*v**2 + w + x*v and give x. 118 Rearrange (h + 5*h - 5*h)*(4 + 0 - 5) + 520 - 1152 - 1854 - 2*h to z + i*h and give z. -2486 Express (7 + 5*d**3 - 7)*(4*d - d - 5*d)*(-156 + 26 - 313 - 241) in the form u + s*d**2 + i*d**4 + g*d + a*d**3 and give i. 6840 Express -70 - 20 + 0*v - 11 - 6*v - 5*v as j*v + n and give j. -11 Express (o - o + 3*o)*(-462 + 261 - 1062) + 6*o - o - 2*o as i + t*o and give t. -3786 Rearrange 3*y - 9*y - 5389 + 5066 to the form f + h*y and give f. -323 Rearrange -6873*q**2 - 105 + 4*q - 6877*q**2 - 65 + 13728*q**2 to the form l + j*q**2 + a*q and give l. -170 Express -539*n + 1061 - 531 - 530 as t*n + i and give i. 0 Rearrange 13590 - 66*v**2 - 27154 + 13594 to the form c*v**2 + u*v + j and give c. -66 Rearrange -943*l - 2647*l - 7187*l to the form b + h*l and give h. -10777 Express -42*h**3 + 34*h**2 - 8 + 45*h**3 + 1 + 0*h**2 + 0*h**2 in the form t*h + k*h**2 + r*h**3 + l and give r. 3 Express -73 + 152 + 2635*l - 79 + 3120*l in the form y + q*l and give q. 5755 Express -909 - 7*q + 907 + 3*q - 267*q**2 + 17*q as b*q + j*q**2 + f and give f. -2 Express (-13*v - 10*v - 11*v)*(-13 - 5 - 16) - v + v - 3*v in the form i + t*v and give t. 1153 Rearrange 3 - 4*m**2 + 259883*m - 3 - 259886*m to o + w*m + r*m**2 and give r. -4 Rearrange 0*k**2 - 78*k + 49*k + 55*k + 3*k**2 - k**2 to a + j*k**2 + x*k and give x. 26 Rearrange -23*y - y**3 - 6*y**2 + 6*y**3 - 4*y**3 + 26*y + 9 + 10*y**3 to z + t*y**2 + k*y**3 + w*y and give z. 9 Express (-281 + 575 - 283 + 4*w)*(12*w + 9*w + 4*w) as i*w + s*w**2 + y and give s. 100 Rearrange 18*t - 43*t - 2*t**3 + 5*t**4 + 573*t**2 - 570*t**2 to the form d*t + x*t**4 + w*t**2 + g*t**3 + r and give w. 3 Rearrange x - 556 + 901 - x**2 + 5*x**3 - 581 to v*x**3 + f*x + u*x**2 + h and give v. 5 Rearrange -87*a**2 + 0 + 5 - 3 + 85*a**2 + 45*a**3 + 3*a to l*a**3 + n*a + z*a**2 + h and give h. 2 Express -3702*a - 6858*a + 2410*a in the form w*a + n and give w. -8150 Rearrange (-10 - 6 - 1)*(-n + 2*n - 3*n) - 3 + 3 - 2*n - n + 2*n + 0*n + (1 - 2 + 3)*(4*n - n - 2*n) to u*n + p and give u. 35 Rearrange -2*q**2 + 2*q**2 - q**2 + (-5*q + 3*q + q)*(-2405 + 445*q + 2405) + (-1 - 6 - 1)*(3 - 1 - 4)*(4*q**2 - q**2 - 5*q**2) to w + r*q + f*q**2 and give f. -478 Rearrange -63*n + 10649*n**4 + 197*n**3 - 192*n**3 - 10661*n**4 to the form a*n**4 + s + y*n**2 + h*n**3 + w*n and give w. -63 Rearrange (-2 - n**2 + 3*n**2 - 3*n**2)*(5477*n - 5477*n - 3544*n**2) to the form k*n**3 + f*n**4 + g*n**2 + y*n + x and give f. 3544 Express 2*f**2 + 2*f**2 - 3*f**2 + (-3 + 3 + 1)*(-2*f**2 + 0 + 0) + (-42612*f - 40816*f + 70787*f)*(-2*f - 3*f + 4*f) in the form x + w*f**2 + d*f and give d. 0 Rearrange -5*m + 3*m - 1458*m**2 - 363*m**2 to the form s*m**2 + c*m + p and give c. -2 Express (4*t - 2*t + 0*t)*(-3 + 1 - 2)*(-21 + 112*t - 30 - 96*t) as q*t + i*t**2 + m and give i. -128 Express -1157*j - 897*j - 1292*j - 543*j + 824*j as k + p*j and give p. -3065 Express (4*z - 2*z - z)*(-18*z**2 - 198*z - 326*z - 10 + 539*z) as l*z**3 + i*z + t + w*z**2 and give w. 15 Express -274*o - 2387*o - 1 - 2244*o + 2 as v + i*o and give i. -4905 Express 34287*d**2 - 1 + 34250*d**2 - 68420*d**2 - 61*d as i*d + t + x*d**2 and give t. -1 Express -7438*l + 1457*l + 2348*l - 8259*l -
{ "pile_set_name": "DM Mathematics" }
12 Let d(i) = -4*i + 36*i + 2 - 9*i**2 - 10*i + i**3 - 14*i. Let j be d(8). Find the third derivative of -4*f**2 + 3*f**j - f**2 + 4*f**2 - 7*f**6 wrt f. -840*f**3 Let u(w) = -4*w**3 + 223*w**2 - 349*w + 9. Let z(m) = -4*m**3 + 223*m**2 - 348*m + 12. Let f(n) = -4*u(n) + 3*z(n). Find the second derivative of f(p) wrt p. 24*p - 446 Find the third derivative of 1743*d**2 - 2990*d**4 + 1278*d**4 + 10 - 10 wrt d. -41088*d Let q(n) be the first derivative of -344*n**6/3 + 479*n**3/3 - 175. What is the third derivative of q(i) wrt i? -41280*i**2 Let l(o) be the third derivative of -1/12*o**4 + 0 - 7/15*o**5 + 7*o**2 + 5*o - 8/3*o**3. What is the first derivative of l(z) wrt z? -56*z - 2 Suppose 5*p - 2*n = 96, 3*p - 10*n = -9*n + 57. Find the third derivative of 35*z**4 + 2*z**3 - 10*z**2 + 25*z**2 - p*z**2 + 3 wrt z. 840*z + 12 What is the second derivative of 78*f**5 + 437*f**5 + 632*f**5 + 536*f - 168*f + f**4 + 1362*f wrt f? 22940*f**3 + 12*f**2 Let c(v) = -v**2 + 13*v - 9. Let g be c(12). Suppose 0 = -g*p + 1 + 5. Find the first derivative of -2 + 9 - 23*n**2 + 10*n**p wrt n. -26*n Let t(b) be the first derivative of -2048*b**5/5 + 855*b - 1203. What is the derivative of t(m) wrt m? -8192*m**3 Let w be (2/(-4))/((-21)/462). Let k = w + -8. Find the third derivative of 3*j**3 + 0*j**k + 12*j**3 - 22*j**2 - 3*j**3 wrt j. 72 Let y(h) = -h**3 + 3*h**2 + 5*h - 1. Let i be y(4). Let q be i/8 - (-2040)/192. Differentiate -7 + j - q*j + 20*j + 15*j wrt j. 25 Find the second derivative of 69*f**2 + 1145*f**2 - 377*f**2 - 10*f + 2 + 495*f**2 wrt f. 2664 Let y(v) = v**2 + 9*v - 14. Let a be y(-11). What is the second derivative of -27*t**4 + 47*t**4 - 20*t**4 - 76*t**5 - 4*t - a wrt t? -1520*t**3 Let p(h) be the second derivative of 1010*h**4/3 - 47*h**2/2 - 28*h + 26. Find the first derivative of p(u) wrt u. 8080*u What is the derivative of -81562*q + 79746*q - 181 + 481 + 1113 + 1377 wrt q? -1816 Suppose -5*l + 51 = 1. Find the third derivative of 3*s**5 - l*s + 11*s**2 - 26*s**2 + 13*s**2 wrt s. 180*s**2 Let w(m) be the third derivative of -199*m**9/126 + 239*m**5/60 - 34*m**2 + 12. What is the third derivative of w(t) wrt t? -95520*t**3 Let l(r) be the first derivative of 0*r + r**3 - 9/4*r**4 - 83 + 0*r**2. Find the third derivative of l(z) wrt z. -54 Suppose 0 = -2*v - x + 8, 4*v - v - 5*x + 1 = 0. What is the derivative of -26*b**v - 7 - 26 - 66 - 4*b**3 wrt b? -90*b**2 Differentiate -2*l**2 - 2*l**3 - 2*l**3 - 4*l**3 + 5176 + 22*l**3 - 1601 + 2*l with respect to l. 42*l**2 - 4*l + 2 Let z(d) be the first derivative of 17*d**4/4 + 13*d**2 - 254*d - 44. Let u(k) = -6*k**3 - 9*k + 85. Let y(l) = -11*u(l) - 4*z(l). Differentiate y(w) wrt w. -6*w**2 - 5 Let d(t) be the third derivative of -793*t**8/336 - 9*t**4/8 - t**3/3 + t**2 + 103*t. Find the second derivative of d(n) wrt n. -15860*n**3 Let o = 1288 - 1286. Let p(t) = 0 - 19*t + 0. Let w(l) = -40*l - 1. Let i(f) = o*w(f) - 5*p(f). Find the first derivative of i(x) wrt x. 15 Suppose -r + 484 = -272. Suppose -4*u + r = -700. What is the second derivative of -u*d**2 + 27*d + 1 - 1 + 339*d**2 wrt d? -50 Let n be 2/(-60)*5*-7. Let a(w) be the second derivative of 0 - n*w**3 + 0*w**2 + 21*w + 1/3*w**4. What is the second derivative of a(v) wrt v? 8 Let d(w) be the first derivative of -11/2*w**6 + 0*w**5 + 0*w**3 + 0*w + 1/2*w**4 + 253 - 19/2*w**2. What is the second derivative of d(v) wrt v? -660*v**3 + 12*v Let w(c) = 5*c - 30. Let s(q) = q. Let h(m) = -2*s(m) - w(m). Let k be h(4). Find the third derivative of -10*x**3 - x - 3*x + 24*x**k + 4*x wrt x. -60 Let b(v) be the first derivative of -218*v**5 + v**4/2 - v**3 - 589*v + 4254. What is the third derivative of b(n) wrt n? -26160*n + 12 Let d(b) = 2*b - 8. Let a be d(6). Let i = 1002 + -943. What is the third derivative of 25*v**2 - 19*v**4 - i*v**2 - 7*v**a - v**4 wrt v? -648*v Let u = 102 + -100. Find the first derivative of -14*h + 66*h**2 + 71*h**2 - 82 - 132*h**u wrt h. 10*h - 14 What is the derivative of 1130*v**4 - 1085*v - 1090*v + 834 + 2175*v wrt v? 4520*v**3 Let q(v) = -552*v**3 + 42*v**2 + 351. Let j(i) = -3*i**3 + 2*i**2 - 1. Let l(z) = -42*j(z) + 2*q(z). What is the first derivative of l(m) wrt m? -2934*m**2 Let i(d) = 1926*d**2 - 313*d - 3924. Let y(c) = -642*c**2 + 99*c + 1308. Let b(o) = 6*i(o) + 19*y(o). Differentiate b(h) wrt h. -1284*h + 3 Find the third derivative of 150*f**2 - 974*f**5 - 2*f + 123*f**5 - 147*f**2 - 70*f**5 wrt f. -55260*f**2 Let o(m) = m**3 - 12*m**2 + 20*m + 3. Let y be o(10). What is the third derivative of 10*x**2 + 85 + 11*x**y - 52 - 33 wrt x? 66 Find the third derivative of -8005*l**4 + 2364*l**4 - 1304*l**3 + 2608*l**3 - 1305*l**3 + 8108*l**2 wrt l. -135384*l - 6 Let h be 165/10*(0 + -2). Let z = h - -37. Find the third derivative of -z*v**6 - v**2 - 4*v**6 - 7*v**6 wrt v. -1800*v**3 Let z(y) be the second derivative of 251*y**6/10 - 1699*y**2/2 + 101*y + 1. What is the first derivative of z(j) wrt j? 3012*j**3 Suppose 2*g - 12 = -4*k, -4*k + 2*k + 2 = -g. What is the third derivative of -b**2 - 7 - g*b**5 - 68*b**6 + 0*b**2 + 5*b**2 + 24*b**6 wrt b? -5280*b**3 - 120*b**2 Let t(b) be the third derivative of 883*b**5/30 - 2017*b**4/12 - 768*b**2 - b. What is the second derivative of t(p) wrt p? 3532 What is the second derivative of -2506*r**4 + 1933*r - 520*r**4 + 7*r**3 - 1505*r**4 - 7*r**3 wrt r? -54372*r**2 Let o(q) be the second derivative of 1447*q**7/21 + 260*q**4/3 + 2*q + 179. Find the third derivative of o(s) wrt s. 173640*s**2 Let p(r) be the third derivative of -r**7/105 - 41*r**6/40 + 194*r**4/3 - 14*r**2 + 22*r. Find the second derivative of p(j) wrt j. -24*j**2 - 738*j Suppose 4*c - 3*l - 13 = 0, -3*c - 20 = -7*c - 4*l. Let q be (-26)/(-39) - 20/(-6). Find the second derivative of 16*y**q - 10*y + 7*y**c + 32*y wrt y. 276*y**2 Let x(v) = v - 6 + 2*v + 9*v. Let k be x(1). What is the second derivative of -k*j**4 + 18*j - 203 + 203 wrt j? -72*j**2 Suppose 7*l = -11 - 199. Let v = l - -38. Find the third derivative of 10*n**4 + v*n**4 - n**4 + 6*n**2 + 12*n**2 wrt n. 408*n Let t(b) be the third derivative of b**7/210 - 197*b**6/20 - 18*b**5 + 2*b**2 + 50. Find the third derivative of t(r) wrt r. 24*r - 7092 Let m(l) be the first derivative of -43*l**6/15 + 27*l**3/2 - 83*l + 56. Let j(n) be the first derivative of m(n). Find the second derivative of j(k) wrt k. -1032*k**2 Let w = -22 - -25. What is the second derivative of 8 + 7*q**3 + 20*q**w + 2*q + 2*q**3 - 7*q**3 wrt q? 132*q Let f(g) be the third derivative of -g**7/15 + 19*g**6/120 + 1379*g**5/60 - 51*g**2 - 7. What is the third derivative of f(y) wrt y? -336*y + 114 Let a(j) be the third derivative of -13*j**7/420 - 19*j**6/120 - 73*j**5/20 - 5*j**2 - 28. Let p(s) be the third derivative of a(s). Differentiate p(b) wrt b. -156 Suppose -5*c - 6 - 14 = -3*y, 12 = y + c. Suppose -y*r = -16*r. Differentiate r + 44*j**2 + 4 - 40*j**2 with respect to j. 8*j Find the third derivative of 526*w**2 + 3268*w**2 - 1847*w**3 + 37 + 74 - 111 wrt w. -11082 Suppose 3 = 3*v - j + 2, 7 = -4*v + 3*j. Suppose -v*t - 4 = 4*m, 3*m = -4*t - m. What is the third derivative of -3*h**t - 8*h**2 - 28*h**3 + 24*h**2 wrt h? -168 What is the second derivative of 5979*q**5 + 3216 + 440*q - 132 - 442*q wrt q? 119580*q**3 Let u(l) = -89*l**2 - 3*l + 79. Suppose -170 + 158 = -4*i. Let r(d) = -87*d**2 - 4*d + 80. Let k(y) = i*r(y) - 4*u(y). What is the derivative of k(o) wrt o? 190*o Suppose 348 = 8*v + 92. Find the second derivative of -39 - 8*h**4 - 41 + v*h**4 + 2*h wrt h. 288*h**2 Suppose 3*l - 17 = -11. Suppose -5*n + l*n = -9. What is the third derivative of 8*h**3 + h**2 - 4*h**3 + 0*h**2 - h**n wrt h? 18 Let z(r) = 253*r**3 - 496*r**2 - 4*r - 8. Let b(v) = 251*v**3 - 495*v**2 - 5*v - 10. Let k(l) = 4*b(l) - 5*z(l). Find the third derivative of k(t) wrt t. -1566 Let z(u) be the second derivative of 0*u**5 + 0*u**6 + 0*u**3 + u - 26/21*u**7 + 6*u**4 + 0*u**2 - 5. Find the third derivative of z(b) wrt b. -3120*b**2 Let o(z) = 2*z + 22. Let p be o(-9). Let j be (-1 - (p - 2)) + 5. What is the second derivative of -9*x - 219*x**j + 219*x**2 + 13*x**4 - 6*x wrt x? 156*x**2 Let t(q) be the second derivative of 127*q**4/6 - q**3/2 - 222*q**2 + 712*q. What is the first
{ "pile_set_name": "DM Mathematics" }
-4*o - 44. Let w(m) = 8*m**2 + 2*m - 7. Calculate f*j(y) - 5*w(y). 2*y**2 - 4*y - 1 Let m(i) = i**3 - 3*i**2 - 3*i + 4. Let o be m(3). Let c(v) = 3*v**2 + 6*v. Let q = -41 - -45. Let b(u) = 4*u**2 + 7*u. Calculate o*c(a) + q*b(a). a**2 - 2*a Let r(l) = -9*l**3 + 2*l**2 + 7*l + 7. Let k(y) = -11*y**3 + 2*y**2 + 8*y + 7. Determine 4*k(t) - 5*r(t). t**3 - 2*t**2 - 3*t - 7 Suppose 3*a = -5 + 2. Let b(w) be the third derivative of w**5/60 - w**4/12 + w**3/6 + 72*w**2. Let h(z) = -z**2 + z - 1. Give a*b(p) - 2*h(p). p**2 + 1 Let u(q) = 8*q - 2. Let b(m) = -28*m + 1 + 66*m - 24*m - 21*m. Determine -6*b(r) - 5*u(r). 2*r + 4 Let x(j) = -27*j + 3. Let k(c) = -27*c + 2. Determine 5*k(v) - 6*x(v). 27*v - 8 Suppose 2*n - 2*y = -2, -3*n = -0*n - 4*y + 3. Let d(l) = -8228 + 8228 + 3*l. Let b(x) = 2*x. What is n*d(z) + 3*b(z)? 3*z Let p(m) = -6*m**2 - 7. Let g(z) = z**2 + 1. Let y(f) = 3*f**2 + 3. Let w(h) = -10*g(h) + 4*y(h). Suppose -5*c + 3*c - 8 = 0. Give c*p(t) - 14*w(t). -4*t**2 Let b(x) = -x + 1. Let j = -29 - -30. Let p(z) = -16 + 4*z - 18 + 28 - z. Determine j*p(c) + 5*b(c). -2*c - 1 Let s(q) be the third derivative of q**5/15 + q**4/24 - 14*q**2. Let y(g) = -3*g**2 - g. Let c be (5 - 5) + 2*1. Give c*s(p) + 3*y(p). -p**2 - p Let b(d) = 18*d**3 - 14 + 14*d**3 - 12*d**3 + 12. Let t(f) = -39*f**3 + 5. What is 5*b(c) + 2*t(c)? 22*c**3 Let v(w) be the second derivative of w**3/6 - w. Let m(z) be the first derivative of 2*z**3/3 + z**2/2 + 360. What is m(o) - 2*v(o)? 2*o**2 - o Let s(j) = 5*j**3 - 34*j**2 - 17*j. Let h(a) = -2*a**3 + 11*a**2 + 6*a. Give 11*h(u) + 4*s(u). -2*u**3 - 15*u**2 - 2*u Let q(i) = 272*i**3 + 12*i**2 + 12*i. Let g(l) = -3*l**3 + l**2 + l. What is -12*g(j) + q(j)? 308*j**3 Let g(a) be the first derivative of -a**2/2 + a - 43. Let s(y) = 4*y - 8. What is 24*g(j) + 3*s(j)? -12*j Let b = -31 + 82. Let w(y) = -27*y - 30*y + b*y. Let k(c) = -5*c. Calculate -4*k(z) + 3*w(z). 2*z Let m(u) = 5*u + 41. Let b(t) = 6*t + 48. Let o(j) = -6*b(j) + 7*m(j). Let z(i) = -2 + 3 + 2*i + 0*i + 4. What is 4*o(q) + z(q)? -2*q + 1 Let g(y) = 26*y**2 + 9*y - 73. Let j(n) = 14*n**2 + 5*n - 37. Give -6*g(r) + 11*j(r). -2*r**2 + r + 31 Let z(g) = -16*g + 3 + 4*g + 9*g. Let x(k) = -2*k + 2. Let v(a) = -5*x(a) + 3*z(a). Let w(t) = t - 1. Determine -5*v(b) + 6*w(b). b - 1 Let w(b) = 2*b**3 - 2*b**2 - 2*b + 2. Suppose 8*d - 2*d + 18 = 0. Let k(o) = -2*o**3 + 3*o**2 + 2*o - 2. Calculate d*w(a) - 2*k(a). -2*a**3 + 2*a - 2 Let c(q) = 249*q - 15. Let g(v) = 129*v - 8. Calculate -6*c(z) + 11*g(z). -75*z + 2 Let o(j) = -j**3 + 2*j**2 + j + 2. Let w(q) = -q**3 + 3*q**2 + 2*q + 2. Suppose 27*d - 28*d = 0. Let y be 2/4*(d + 0 + -4). Determine y*w(i) + 3*o(i). -i**3 - i + 2 Let b(f) = f**3 - f**2 + 263. Let z(v) = -v**3 - 2. Give b(t) - z(t). 2*t**3 - t**2 + 265 Let t(h) = 18*h - 416. Let v(p) = -41*p + 832. Give -9*t(y) - 4*v(y). 2*y + 416 Let t(d) be the second derivative of -d**5/20 - d**4/12 - d. Let y(b) = -11*b**3 + 21*b**3 - 13*b**3 - 2*b. Suppose -q = -6*q + 10. Determine q*t(c) - y(c). c**3 - 2*c**2 + 2*c Let o(y) = 5*y**2 + 30*y - 11. Let j(g) = -2*g**2 - 10*g + 4. Give 8*j(v) + 3*o(v). -v**2 + 10*v - 1 Let j(o) = -2*o - 15. Let v be 9/6 + (-413)/(-118). Let r(i) = -4*i - 30. Calculate v*j(a) - 3*r(a). 2*a + 15 Let d(p) = 6*p + 6. Let i(s) = s - 10*s + 8*s + 8*s + 7 + 0*s. Give 6*d(u) - 5*i(u). u + 1 Let i(t) = 282*t**2 + 5*t + 7. Let p(r) = 142*r**2 + 2*r + 3. Calculate -6*i(k) + 14*p(k). 296*k**2 - 2*k Let l(v) = -69*v + 3. Let p(d) = -138*d + 5. Calculate 7*l(k) - 4*p(k). 69*k + 1 Suppose 32 = 3*c - 4. Let m(s) = -29 + c + 12 + 9. Let x(u) = -u - 5. Suppose 5*p + 8 = -17. What is p*m(r) - 4*x(r)? 4*r Let v(d) = -10*d + 1. Let l(n) be the first derivative of n**2/2 - 895. Determine 6*l(a) + v(a). -4*a + 1 Let i = -769 + 768. Let q(l) = -l**3 - l - 1. Let v(j) = 27*j**3 + 6*j + 6. Determine i*v(m) - 6*q(m). -21*m**3 Let u(o) = -2*o**3 - o - 12. Let y(k) = 2*k**3 + k + 13. Suppose -5*b - 9*i + 14*i = 20, 0 = -3*i + 3. What is b*y(l) - 4*u(l)? 2*l**3 + l + 9 Let b(g) be the first derivative of g**4/2 - g**3 - g**2 + 7. Let h(l) = -6*l - 3*l**2 + 2*l**2 + 5*l + l**3. Give 3*b(f) - 7*h(f). -f**3 - 2*f**2 + f Let w(n) = 3*n**2 - 2*n + 2. Let l(s) = -s**2 - s - 1. Let o be l(0). Let b(k) = 48 + 34*k + 54 - k**2 - 33*k - 103. Calculate o*w(z) - 2*b(z). -z**2 Let i(v) = 2*v**3 + 2*v**2 - 6*v - 7. Let g(y) = -5*y**3 - 5*y**2 + 14*y + 14. Give -6*g(u) - 14*i(u). 2*u**3 + 2*u**2 + 14 Let p(n) = -8*n - 10 + 24 - 13*n**2 - 28. Let u(i) = 9*i**2 + 5*i + 9. Calculate -5*p(x) - 8*u(x). -7*x**2 - 2 Let l(v) = -3*v**3 + 4*v**2 - 4*v + 9. Let j(y) = -4*y**3 + 3*y**2 - 3*y + 8. Give 3*j(k) - 2*l(k). -6*k**3 + k**2 - k + 6 Let f(r) = 5*r - 27. Suppose 469*b - 459*b - 40 = 0. Let s(z) = 3*z - 14. What is b*f(y) - 7*s(y)? -y - 10 Let h(j) = -j. Let l(f) = -7 + 15 + 0 - 4*f - 8. Determine 6*h(y) - l(y). -2*y Let t(o) be the first derivative of 2*o**3/3 + o**2 + o + 290. Let c(x) = -x**2 - x - 1. Give -3*c(z) - t(z). z**2 + z + 2 Let v(z) = 107*z + 14. Let j(c) = -3*c - 2. What is -5*j(q) - v(q)? -92*q - 4 Let f(h) = -189 - 2*h - h + 186 + 2*h. Let q(d) = d + 1. Give f(x) + 5*q(x). 4*x + 2 Let z(t) = -16*t**3 + 11*t**2 - 11. Suppose 9*r = 13*r - 8. Let y(n) = -2*n**r + 11 + 9 - 18 + 3*n**3. Calculate -33*y(h) - 6*z(h). -3*h**3 Let t(v) = 3*v**2 + v - 3. Let l(m) = -m**3 + m**2 + m - 1. Suppose 321*o - 5 = 326*o. Calculate o*t(k) + l(k). -k**3 - 2*k**2 + 2 Let x(o) = -27*o**2 - 17*o. Let v(a) = 7*a**2 + 4*a. Suppose -5*h - 30 = 3*j, -h - 2*j - 42 = -43. Calculate h*v(i) - 2*x(i). -9*i**2 - 2*i Let i(g) = 9*g**2 - 2*g. Let k(t) = 100*t**2 - 41*t. Let y(a) = -102*a**2 + 45*a. Let p(z) = 6*k(z) + 5*y(z). Determine -21*i(o) + 2*p(o). -9*o**2 Let i(s) = -43*s + 23. Let m(x) = -15*x + 8. Give 6*i(d) - 17*m(d). -3*d + 2 Let h(m) = -9*m**2 + 3*m + 3. Let f(g) = -7*g**2 + 3*g + 2. Determine 6*f(r) - 5*h(r). 3*r**2 + 3*r - 3 Suppose -3*p + 6*v - 7*v + 19 = 0, 4*p + v = 25. Let a(b) = 1 - 14 - 7 + 6*b**2. Let d(i) = 2*i**2 - 7. Calculate p*a(u) - 17*d(u). 2*u**2 - 1 Let r = -8 - -5. Let g be 4/5*(r + -2). Let d(x) = -5*x + 9. Let i(l) = 2*l - 4. Let n be 27/(-6)*(2 - 0). What is g*d(s) + n*i(s)? 2*s Let o be 1551/121 + (-2)/(-11). Let j = o - 12. Let p(r) = -2*r**2 + 6*r - 3. Let x(w) = w - 1. Determine j*p(g) - 5*x(g). -2*g**2 + g + 2 Let v(i) = 3*i**2 - 3*i + 22. Let g(w) = -6*w**2 + 5*w - 40. What is -3*g(u) - 5*v(u)? 3*u**2 + 10 Let k(q) = -q**2 + 2. Let w(m) = m**2 - 9*m - 4. Give -3*k(p) - w(p). 2*p**2 + 9*p - 2 Let l(a) = -2*a**3 - a. Let j(c) = -4*c**3 + 4*c**2 - 92*c. What is j(r) - 3*l(r)? 2*r**3 + 4*r**2 - 89*r Let w(p) = -552*p**3 - 6*p**2 + 12. Let f(i) = -48577*i**3 - 527*i**2 + 1054. Calculate -6*f(c) + 527*w(c). 558*c**3 Let a(k) = -k**3 + k**2. Let v(f) be the first derivative of -f**4 + 5*f**3/3 + f**2/2 + 366. What is -10*a(m) + 2*v(m)? 2*m**3 + 2*m Let u(s) = -65*s - 6. Let l(y) = y + 1. Give -4*l(q) - u(q). 61*q + 2 Let q(k) = -k**2 - 5*k - 2. Let c(d) = -d**2 + 6*d + 11. Let i be c(8). Let t(w) = 4 + 0*w + 11*w - 2472*w**2 + 2475*w**2. Give i*q(p) - 2*t(p). -p**2 + 3*p + 2 Let m(s) = 8*s - 16. Let g(u) = 13*u - 24. Calculate 5*g(h) - 8*m(h). h + 8 Let c(z) = z**3 + 2*z + 2. Let h be 36/96 - (-13)/8. Let j(t) be the third derivative of 0*t + 0 - 2*t**2 + 1/6*t**3 + 1/24*t**4. Determine h*j(u) - c(u). -u**3 Let d(u) = 39*u**2 + 2*u. Let h(x) = 10*x**2 + x - 1. Determine d(p) - 2*h(p). 19*p**2 + 2 Let a(s) = -427*s**3. Let g(d) = -1011988*d**3. Determine 4741*a(y) - 2*g(y). -431*y**3 Let c(i) = 5*i**2 + i + 4. Let q(h) = 9*h**2 + 2*h + 7. Let p(l) = -l + 9. Let m be (9/(-5))/((-21)/70). Let b be p(m). Calculate b*q(u) - 5*c(u). 2*u**2 + u + 1 Let z(j) = -2*j + 1. Let d(s) = -23*s + 1. Determine -2*d(a) + 4*z(a). 38*a + 2 Let u(x) = 257*x**2 + 3*x. Let h(w) = -1026*w**2 - 14*w. Give 2*h(f) + 9*u(f). 261*f**2 - f Let z(b) = b + 1. Let k(x) = -4*x**3 + x**2 + 4*x + 2. Let h be k(-1). Suppose -4*n = h*j + j, 0 = -n - 3. Let q(f) = f. Calculate j*z(c) - 4*q(c). -c + 3 Let t(u) = -u - 1. Let o(q) = 5*q + 4. Suppose 11*w - 10 = -54. Determine w*t(x) - o(x). -x Let y(x) = 7*x**2 + 8*x - 2. Let s(k) = 0*k + 2*k - k + 1 + 0*k. Let z be s(6). Let h(d) = -2*d**2 - 3 + d**2 + 5 - 5*d**2
{ "pile_set_name": "DM Mathematics" }
site number? False Suppose 2*f - 2*p = -7*p + 502689, -3*f + 754045 = -4*p. Is f a prime number? True Suppose -20*p + 400191 = -289469. Is p composite? False Suppose 9642537 = -96*z + 52969411 + 57921158. Is z prime? True Let g = -88 + 355. Suppose -2*n - g = -3*q, -381 = 5*n - 3*q + 273. Let r = n - -364. Is r a prime number? False Let f = 12514 + 3795. Is f composite? True Is -2 + 4 + (18/9 - 9 - -351612) a composite number? True Let v be 14/(-91) + (163061/13 - 1). Suppose 0 = -4*d + 2*d - 5*w + v, 12542 = 2*d + 3*w. Is d a composite number? False Let v(i) = 1596*i**2 - 38*i + 1. Is v(-5) composite? True Suppose -13784 - 1374 = -2*a. Let h = -4399 + a. Suppose -h = -2*n - 182. Is n a composite number? False Suppose 40*v - 1238508 = 370732. Is v a composite number? False Is -1 - 20244192/(-100) - 2/(-25) a prime number? True Let k(n) = 2*n**3 - 17*n**2 - 22*n + 19. Suppose -2*x - 5 = -r - 1, 4 = r - 5*x. Suppose 0 = 3*v + 2*m - 65 + 17, -2*v + r*m = -16. Is k(v) prime? True Let f = 63 - 60. Suppose -12*b - 7767 = -f*b. Let z = b + 1740. Is z composite? False Is (113103 - -926)*(1 - (0 - 0)) prime? False Suppose 7*i = 9*i - 4. Suppose -2*t + 2*z + 496 = 0, 3*z + 1007 = 4*t + i*z. Suppose c - 4*q - 1776 + t = 0, -1532 = -c + q. Is c prime? False Let v be 2973 + 6*(-5)/(-15). Let u = 8244 - v. Is u a composite number? True Is ((-31)/93)/((-1)/(-3))*-24305 composite? True Suppose 4*y - 8584 = -2*l, 9602 = 4*y - 5*l + 1018. Suppose -9030 = 179*w - 87*w - 86*w. Let g = y + w. Is g a composite number? False Let f = 1 - 1. Suppose -2*x = -f*x + 6098. Let u = x - -6992. Is u a composite number? False Suppose -3*a - 1 = -7. Suppose 10 = -3*q - a. Is 217 + -2*(-2 - q) prime? False Suppose 4*c - 17 - 11 = 4*k, -9 = c + 3*k. Let p(b) = -c - 21*b + 26*b - 3. Is p(5) prime? True Let c = 984 - 984. Is (24502 + c)*(-37)/(-74) a composite number? False Let g be (-6)/15 - 20751/(-15). Let w(o) = 3*o**2 - 8*o + 7. Let c be w(2). Suppose -c*y + 1374 = -g. Is y prime? True Suppose -15*s - 24591 = -22*s. Suppose -z + s = -3*k, 6*z - 3513 = 5*z + k. Is z composite? True Let w(k) = 3*k**2 - 4*k - 3. Let p = 4 - 5. Let o be w(p). Suppose -2*s + 3*q + 6323 = 0, -3*s = -8*s + o*q + 15811. Is s composite? False Let l = 48972 - 19858. Is l a prime number? False Suppose 15*k + 234 - 924 = 0. Let s = -46 + k. Is 11/(33/420) + 3 + s composite? True Let f = -512 - -725. Let s = f + 706. Let n = -176 + s. Is n prime? True Let t = 4487 + -7261. Let j = t + 5169. Is j a composite number? True Suppose 13705 = 5*n - 21970. Is n prime? False Suppose -5*n = -10*n + 20. Suppose n*y - 2*y - 22 = 0. Suppose 1444 = -y*i + 15*i. Is i composite? True Let l = -204 + 216. Is (-3614)/(-12) + 2/l*-1 composite? True Let u be (-26)/(27/(-429) + (-4)/(-26)). Let o = u - -522. Suppose -o = -4*r + 8360. Is r composite? True Suppose 3*y = 5*k - 159053, -4*k = 1188*y - 1192*y - 127252. Is k a prime number? False Let g(o) = -o**2 - 8*o - 7. Let k be g(-6). Suppose -12*v + 8701 = -k*v. Is v composite? True Let s = 143 + -75. Suppose -s = -2*r - 1684. Let i = r - -2405. Is i prime? True Let p(a) = 1873*a**2 + 105*a - 641. Is p(11) composite? False Let d = 49255 + -21702. Is d composite? True Suppose -4*i - 88800 = -5*f - 2*i, 4*f - 71040 = 5*i. Is 2*(-2)/14 - f/(-224) prime? True Let q(n) = -5*n + 0 - n + 1. Let s(t) = t**3 - 4*t**2 + 9*t - 39. Let o be s(4). Is q(o) a prime number? True Let i = -46 + 61. Suppose i*q - 16*q + 17 = 0. Suppose q*w = 16*w + 37. Is w a prime number? True Suppose -5*c - 33*w = -28*w - 1119985, 0 = 2*c - 4*w - 447994. Is c a prime number? False Suppose 8*t - 232 - 4960 = 0. Is (-4 - 2) + (t + 1 - -3) a prime number? True Let s = 22 - 23. Is (-157)/(-11 + 9 + s/(-1)) composite? False Suppose 12*r - 54*r + 133936419 = 141*r. Is r prime? True Let w = 18578 + -8959. Is w a prime number? True Suppose 0 = -3*f - 15, -49 - 1 = -5*l + 5*f. Is l*8/10 + 6927 a composite number? True Let z(k) = 31 + 17 + 69 - 7 + 817*k - 8. Is z(11) a prime number? False Let v = -208 + 218. Suppose 4*i + v*c = 14*c + 18648, 0 = i + 4*c - 4682. Is i composite? True Suppose -4*t - 8 = -5*w, -w = -t - 3 + 2. Suppose 3847 = 4*d - 2*q + 451, -5*d - t*q + 4267 = 0. Is d composite? True Suppose 3*i - 16 = -a, -7*i + a + 19 = -3*i. Suppose 3*o = -15, -2*o + 5170 = i*n - 6*o. Suppose 5*z = -0*y - 5*y + n, -2*z = -4*y - 442. Is z a prime number? True Let m(r) = -9285*r + 5368. Is m(-29) a composite number? True Let j = 121040 + -72879. Is j prime? False Let t = 33965 - 15186. Is t prime? False Let j = 9711 - 16. Let i = -4116 + j. Is i prime? False Suppose -17*l - 35*l + 1383980 = -0*l. Is l composite? True Suppose 50 = 10*p + 10. Let t be p*(-1)/10*-5. Suppose -t*u = -2*v + 2379 - 321, -4*u = 8. Is v a prime number? False Let z be 1 - (-3)/(15/25). Suppose -z*s = 8 + 28. Is s/(-4)*(-2084)/(-6) a prime number? True Let g be (-32866)/(-10) - (-5)/25*-3. Let l = 4973 + g. Is l composite? True Let c(j) = -151*j**3 - 7*j**2 - 10*j + 4. Let z be c(-8). Suppose 66*i - 62*i = z. Is i a composite number? False Suppose 56*m - 57*m + 54919 = 0. Suppose 3*u + 4*w = m, -u + 4*w + 28060 = 9775. Is u a prime number? True Suppose 4*m + 5*h = 2*m + 22, -h - 16 = -3*m. Suppose -7*k + 6*k = -m. Suppose -3*x = u - 383, 3*u + k = -3*x + 393. Is x a composite number? False Suppose -x + 3*w - 4285 = -117752, 5*w = -20. Is x composite? True Suppose 2*y - 8*t + 5*t = 152654, -2*t = -y + 76325. Is y prime? True Let w = 2346 + -1388. Is w a prime number? False Let k be 2/4 + 4894/4. Suppose 4*l = 8*l - k. Let h = l + -211. Is h a composite number? True Is (62383/(-4))/(380/(-304)*1/5) a prime number? True Let y be 4/(4/(168/3)). Suppose 0 = 2*d + 3*h - 24, -5*h - y + 21 = -5*d. Is 32570/15 - 3/d a prime number? False Is ((-318)/(-24)*-1438)/((-5)/10) a prime number? False Let s = -26120 + 45597. Let d = s + -13661. Let b = d + -2013. Is b a composite number? False Suppose -4*b = 2*q - 1 - 1, -15 = 5*b. Suppose 5*o - 1 = -4*d - q, d + 4*o = 4. Is d/18 + 1199/9 a prime number? False Let q = -14 - -24. Let r be (-6)/(-5)*25/q. Suppose u + 2*u - 819 = -3*c, -r*u + 799 = -2*c. Is u prime? True Let z be (-3)/2*(-16)/6. Suppose -3*q = z*d + 113, -2*d + 2*q - 54 = 4*q. Let j = 19 - d. Is j composite? True Is (-14 - -20)/(78/2641379) composite? False Suppose -63*b - 6*b + 3865256 = 67*b. Is b composite? True Let q(n) = -68*n**2 + n. Suppose 0 = -4*h + h + 6. Let s be q(h). Let z = 397 + s. Is z prime? True Let d = 2 - -2. Suppose 0 = d*p - 0*p + 380. Let j = p - -504. Is j a composite number? False Let i = -18609 - -38647. Let c = i - 13841. Is c a composite number? False Suppose -2*j - 35*a + 2643570 = -37*a, -j + 1321793 = -5*a. Is j a prime number? False Let u = -25 - -32. Suppose 12 = u*b - 16. Is 4*64 + (-4)/(b*-1) prime? True Suppose 5*p = 12*p - 33726. Let w = -3277 + p. Is w a prime number? False Suppose -29*b - 42*b + 5297151 = -5040023. Is b a prime number? False Suppose -4*c + 358451 = 3*s, 4*s = 2*c + 142927 + 335037. Is s a composite number? False Suppose -64*r - 300080 = -3863736 - 1068600. Is r a prime number? True Suppose 0 = 38*x + 832335 - 53001281. Is x composite? False Suppose r + 4*j - 31013 = 0, 17*r = 21*r - 3*j - 124052. Is r composite? False Suppose -2*g + 358078 = -l, 2*g = -2*l + 286979 + 71111. Is g a prime number? True Let l(j) = j**2 - 3*j + 2. Let v be l(2). Suppose v*a + 2*k = -2*a + 8, -2*a - 5*k + 17 = 0. Is 208 + a*(-3 - -3) + 3 composite? False Is 4609563/159 - (-136)/3604 a composite number? True Suppose -33*b + 32*b = -5. Suppose -2*w - 551 = v, 4*w - b = -w. Is 2/(v/185 - -3) a prime number? False Let j be 0 + (1 - 5) + 0. Let c be 4/(-10) - (j - 36/(-10)). Let r(f) = f**2 + f + 2453. Is r(c) a prime number? False Suppose -21*k + 22*k = -12. Let c be (-1)/4 - ((-159705)/k)/(-15). Suppose -3*j - c = -4*j. Is j a prime number? True Let o(i) = -i**3 + 6*i**2 + 7*i. Let t be -3*1/3*-7. Let c be o(t). Suppose 0*g - 1282 = -4*d + 2*g, c = -g + 5. Is d composite? True Let b(o) = -468*o + 497. Is b(-25) composite? False Let l be (5 - -2)*(-3 + 6). Suppose -5*i = 2*i - l. Suppose -44 = -w + t + 1151, w = -i*t + 1195. Is w prime? False Let f = 5 + -13. Let v(k) be the second derivative of 23*k**4/12 + 5*k**3/2 -
{ "pile_set_name": "DM Mathematics" }
*2 Let k(h) = -h**2 + h. Let b(a) = 0*a**2 + a**2 - 8*a**2 - 2 + 4*a + 0*a**2. What is -b(w) + 5*k(w)? 2*w**2 + w + 2 Let p be 1*(1 - 1) - 1. Let u = 3 - p. Let s(k) = -6*k**2 + 1. Let o(v) = -1 + 2*v**2 + v**2 + 2*v**2. Determine u*s(c) + 5*o(c). c**2 - 1 Let t(s) = 5*s**2 - 8*s + 9. Let g(l) = -2*l**2 + 3*l**2 + l**2 - 5*l**2 - 6 + 5*l. Suppose 4*q - 36 = n + 3*n, -4*q + 31 = -3*n. Give n*t(f) - 8*g(f). -f**2 + 3 Let k(s) = -3*s**2 + 5*s - 5. Let n(d) be the third derivative of -d**5/30 + d**4/8 - d**3/2 - 41*d**2. Calculate -6*k(j) + 10*n(j). -2*j**2 Let n(y) = y**3 + y**2 + y. Let p(f) = -3*f**3 - 2*f**2 - f + 1. Determine -n(t) - p(t). 2*t**3 + t**2 - 1 Let l = 5 - 3. Let k be (11 - 2)/(1/(-1)). Let r(d) = -7*d - 3. Let z(y) = 6*y + 2. Let j(n) = 7*r(n) + 6*z(n). Let p(i) = -3*i - 2. What is k*p(q) + l*j(q)? q Let u(l) = 3*l - 5. Let h(q) = 3*q - 6. Let x = -10 + 16. Suppose -2*j - 6 = 2*z, 0 = -4*j - 5*z - 5 - 5. Give j*h(c) + x*u(c). 3*c Let g(c) = 2*c**3 + 2*c**2 - 6*c - 2. Let b(a) = -4*a**3 - 4*a**2 + 13*a + 5. Determine 2*b(w) + 5*g(w). 2*w**3 + 2*w**2 - 4*w Let g(w) = -w**2 - w + 1. Let b(d) = 7*d**2 + 5*d - 24. What is -b(l) - 5*g(l)? -2*l**2 + 19 Let g = -17 - -16. Let a(l) = -l**3 - l**2 + l. Let n(o) = 3*o**3 + 4*o**2 - 4*o - 3. What is g*n(z) - 4*a(z)? z**3 + 3 Let l(x) = 6*x - 2. Let g(v) = v + 3. Let f(w) = 1. Let m(k) = 3*f(k) - g(k). What is -l(b) - 5*m(b)? -b + 2 Let h(g) = 4*g**3 + 8*g**2 + g - 1. Let s(k) = -7*k**3 - 15*k**2 - k + 1. Calculate -5*h(o) - 3*s(o). o**3 + 5*o**2 - 2*o + 2 Let q(k) = -k**3 - 3*k**2 + 2*k + 4. Let r(x) = 5*x**2 + 3*x**2 - 3*x**3 - 5*x - 10 + 5*x**3 - 1. Calculate -8*q(v) - 3*r(v). 2*v**3 - v + 1 Let h(f) = -209*f**3 - 95*f + 95. Let a(x) = -13*x**3 - 6*x + 6. Calculate 95*a(s) - 6*h(s). 19*s**3 Let t(g) = 6*g**2 - g - 5. Let v(r) = 1. Determine -t(n) - 6*v(n). -6*n**2 + n - 1 Let b(j) = 1. Let m be (-2)/(-8) + 99/36. Suppose -m*d + 8 = 2*u + 3, 5*u + 25 = 5*d. Let n(x) = 3 + d - 1 - x. Determine -11*b(h) + 2*n(h). -2*h - 1 Let p(l) = -3*l**2 + 18*l + 17. Let j(o) = o**2 - 6*o - 6. Determine 17*j(y) + 6*p(y). -y**2 + 6*y Let l(s) = 5*s + 4. Let p(f) = -f - 1. What is l(v) + 6*p(v)? -v - 2 Let g(k) = -5*k - 12. Let d = 18 - 8. Let n = -12 + d. Let r(i) = i + 3. What is n*g(v) - 9*r(v)? v - 3 Let r(w) = -6*w**2 - 2*w + 2. Let m(c) = -7*c**2 - 2*c + 2. Give -3*m(f) + 4*r(f). -3*f**2 - 2*f + 2 Let t(f) = 3*f**3 + 3*f**2 + 5*f + 5. Let z(m) = -3*m**3 - 2*m**2 - 4*m - 4. Give -4*t(p) - 5*z(p). 3*p**3 - 2*p**2 Let m(s) = s**2 - s - 12. Let o(y) = -2*y**2 + 2*y + 24. Determine -9*m(g) - 4*o(g). -g**2 + g + 12 Let z(q) = q. Let l(a) = 2*a - 7. Let o(x) = l(x) + 2*z(x). Let t(d) = 3*d - 6. Suppose -r - 2*p + 11 = 0, -8*r + 3*r + 3*p + 16 = 0. Calculate r*t(f) - 4*o(f). -f - 2 Let l(s) = 8*s**3 - 7. Let v(a) be the first derivative of -7*a**4/4 + 6*a - 3. What is -6*l(m) - 7*v(m)? m**3 Let j = 3 + 0. Suppose -j*r + 16 + 5 = 0. Let i(x) = -4*x + 2*x**3 - 9 + 2*x + 10. Let a(f) = -3*f**3 + 3*f - 2. Determine r*i(g) + 4*a(g). 2*g**3 - 2*g - 1 Let c(f) = 5*f**2 - 5*f + 5. Let n(x) = 4*x**2 - 3*x - 2*x + 1 + 4*x - 3*x**2. Determine c(t) - 3*n(t). 2*t**2 - 2*t + 2 Let s(n) = 5*n + 5. Let k(y) = -y - 1. Let w(a) = -a**3 + 2*a**2 + a. Let r be w(2). Let q(h) = 4*h + 4. Let c(j) = r*q(j) + 22*k(j). Give 3*c(b) + 8*s(b). -2*b - 2 Let a(v) = -10*v - 9*v + 26*v - 8*v. Let g(u) = -10*u + 1. Calculate 18*a(y) - 2*g(y). 2*y - 2 Let w(q) = -2*q**2 - 13*q - 13. Let o(b) be the third derivative of -b**5/60 - b**4/4 - b**3 - 10*b**2. Calculate 13*o(r) - 6*w(r). -r**2 Let q(c) = c**3 + 1 + 2*c**3 - 9*c**3 + 4*c**2. Let d(a) = a**3 - a**2 - 1. Suppose -4*o - 3*x + 9 = -19, -o = x - 8. Give o*d(j) + q(j). -2*j**3 - 3 Let y(x) = 2*x**2 - 9*x + 9. Let j(f) = f**2 - 4*f + 4. Let c be (3 - (6 + -2))*-9. Calculate c*j(l) - 4*y(l). l**2 Let n(f) = f + 0*f + 3*f + 0*f + 4. Let z(t) = -t + 1. Let u(i) = -i. Let g(p) = -2*u(p) + z(p). What is -26*g(a) + 6*n(a)? -2*a - 2 Let q(a) = 2*a**2 + 5*a + 7. Let i(c) = -8*c**2 - 7*c - 19. Let b(g) = g**2 - g + 1. Let m(t) = -4*b(t) - i(t). Determine -6*m(v) + 13*q(v). 2*v**2 - v + 1 Let m(l) = -8*l**2 + 2*l - 1. Let r(d) = 15*d**2 - 3*d + 2. Determine -5*m(o) - 3*r(o). -5*o**2 - o - 1 Let c(h) = h**2 + 4*h. Let t be c(-3). Let y(k) = 0*k**2 + 4*k**2 - 5*k**2 - 3. Let m(f) = 14 - f**2 - f**2 + 6*f**2. What is t*m(i) - 14*y(i)? 2*i**2 Let j(b) = 30*b + 6. Let s(p) = -29*p - 5. Calculate 2*j(q) + 3*s(q). -27*q - 3 Let w(g) be the second derivative of -3*g**5/10 + 3*g**3/2 - 9*g**2/2 - 4*g. Let c(y) = -y**3 + y - 1. Calculate 9*c(o) - w(o). -3*o**3 Let c be (-3 + 0 - -2)*3. Let v = c + 5. Let b(x) = 6*x**v - x - 7 + 12*x**3 + 2*x - 8*x**3. Let a(u) = 7*u**3 + 11*u**2 + 2*u - 13. What is 6*a(z) - 11*b(z)? -2*z**3 + z - 1 Let w(q) = 2*q**3 + 2*q**2 + 2*q - 4. Let y(g) = 2*g**3 + 2*g**2 + 3*g - 5. Let n be (-3)/(-21) + 45/(-21). Determine n*y(x) + 3*w(x). 2*x**3 + 2*x**2 - 2 Let f(g) = 2*g**2 - 9*g + 15. Let v be (-58)/(-10) - 3/(-15). Let l(o) = o**2 - 4*o + 7. What is v*f(k) - 13*l(k)? -k**2 - 2*k - 1 Let n(k) = 6*k**3 - 4*k**2 - 4*k. Let a(j) = 7*j**3 - 5*j**2 - 5*j. Give -4*a(m) + 5*n(m). 2*m**3 Let s(o) = -6*o**3 - 10*o**2 - 7. Let g(j) = 2*j**3 + 3*j**2 + 2. Give -7*g(r) - 2*s(r). -2*r**3 - r**2 Let o(y) be the first derivative of -y**3/3 - y**2/2 + y + 9. Let m(a) = -5*a**2 - 5*a + 4. Determine 4*m(s) - 18*o(s). -2*s**2 - 2*s - 2 Let z be (-540)/(-55) + 4/22. Suppose 0 = 2*b + z + 2. Let g(n) = 3*n + 7. Let p(t) = 4*t + 8. Give b*g(l) + 5*p(l). 2*l - 2 Let y(i) = -2*i**3 - 2*i**2 + 7*i - 11. Let f(n) = -n**3 - n**2 + 4*n - 6. Calculate 7*f(v) - 4*y(v). v**3 + v**2 + 2 Let f(q) = -q. Let l(c) = -2*c. Give -7*f(y) + 5*l(y). -3*y Let x(m) = 9*m + 1. Let w(f) = -5*f - 1. Calculate 11*w(d) + 6*x(d). -d - 5 Let h(n) = -5*n**2 + 4*n. Suppose -5*x - 27 = -7. Let i(w) = -w**2 - w - 5. Let z be i(x). Let v(t) = -14*t**2 + 11*t. Give z*h(d) + 6*v(d). d**2 - 2*d Let l(d) = -d**2 + 4*d + 5. Suppose b + b + 35 = 5*w, 3*w - 40 = 5*b. Let x(q) = q + 1. Calculate w*x(y) - l(y). y**2 + y Let j(y) = -y**2 + y - 1. Let p(w) = -2*w**2 + 6*w - 2. Give -3*j(a) + p(a). a**2 + 3*a + 1 Let z(r) = 5*r - 7. Let g(q) = 11*q + 26. Let i(y) = -4*y - 9. Let w(h) = -6*g(h) - 17*i(h). Calculate -7*w(t) + 3*z(t). t Let s(f) = -5*f**2 + 3*f - 6. Let l(w) = 5*w + 0*w**2 - 16*w**2 - 11 + 7*w**2. Give -4*l(z) + 7*s(z). z**2 + z + 2 Let q(d) = -d**3 - 16. Let p(u) = 3. Suppose 4*r - 4 = 0, -26 - 30 = -l - r. Suppose -2*m = 3*m + l. What is m*p(c) - 2*q(c)? 2*c**3 - 1 Let m(c) = 5*c**2 + 4*c + 3. Suppose 0*b + 9 = -3*b, 2*v + 19 = -3*b. Let t(q) = 9*q**2 + 8*q + 5. What is v*m(u) + 3*t(u)? 2*u**2 + 4*u Let w(k) = 3 + 2*k - 7 + 4. Let g(x) = 2*x - 1. Calculate 4*g(j) - 5*w(j). -2*j - 4 Let g(a) = -9*a**2 + a + 1. Let u(t) = 4*t**2. Calculate -2*g(w) - 5*u(w). -2*w**2 - 2*w - 2 Let w(l) = -3*l**3 - 10*l**2 - 7*l + 6. Let h(o) = o**3 + 3*o**2 + 2*o - 2. Calculate 7*h(j) + 2*w(j). j**3 + j**2 - 2 Let h(q) = 8*q + 1. Let c(w) = 15*w + 2. Suppose 110 = -9*l - l. Calculate l*h(g) + 6*c(g). 2*g + 1 Let t = -27 - -17. Let z(c) = 5 + 0 - 7*c + 0*c. Let f = -3 - 3. Let a(u) = 4*u - 3. What is f*z(l) + t*a(l)? 2*l Let j(r) = -r - 1. Let x(s) = s**2 - 8*s - 2. Let w be x(9). Let n(p) = w + 4*p + 6*p - 1. Calculate 8*j(d) + n(d). 2*d - 2 Let r(c) = -c**2 + 2*c + 4. Let y(p) = 1. What is r(z) - 3*y(z)? -z**2 + 2*z + 1 Let f(r) = r**2 - 11*r. Let z(w) = 2*w**2 - 23*w. Give 5*f(i) - 2*z(i). i**2 - 9*i Let b(q) = -4*q + 9. Let g(u) = u - 3. Let a(c) = -c - 9. Let o be a(-11). Give o*b(f) + 7*g(f). -f - 3 Let w(m) = -8*m**2 - 11*m**2 - 2*m - m + 12*m**2 - 3. Let v(h) = -76*h**2 - 32*h - 32. Calculate -3*v(s) + 32*w(s). 4*s**2 Let a(i) = 2*i**3 - 3*i**2 - 1. Suppose -7 = -3*v - 1. Let g(k) = -k**3 + k**2. Calculate v*a(m) + 5*g(m). -m**3 - m**2 - 2 Let m(r) = -14*r**2 - 5*r + 3. Let y(d) = -21*d**2 - 8*d + 5. Give -8*m(s) + 5*y(s). 7*s**2 + 1 Let b(i) = -2*i. Suppose 17 - 2 = 5*w. Let g(u) = -u - 1. Let h(y) = -16*y - 14. Let v(a) = 28*g(a) - 2*h(a). Give w*v(f) + 7*b(f). -2*f Let o(f) = -f + 6. Let g(z) = -1. Let d be 1*(2 - (-6 + 1)). Let h be (d - 6)*1/1. Give h*o(k) + 6*g(k). -k Suppose -4*s - i + 12 = -2*i, -s - 4*i = -20. Let k(o) = 4 - o - s.
{ "pile_set_name": "DM Mathematics" }
is the k'th term of 18396, 36702, 55010, 73320, 91632, 109946, 128262? k**2 + 18303*k + 92 What is the c'th term of -1122, -2091, -3054, -4011? 3*c**2 - 978*c - 147 What is the w'th term of 712000, 711998, 711996, 711994, 711992, 711990? -2*w + 712002 What is the r'th term of -628, -2583, -5966, -10879, -17424, -25703, -35818, -47871? -17*r**3 - 612*r**2 + 1 What is the t'th term of 4333, 4331, 4329, 4327, 4325? -2*t + 4335 What is the j'th term of 5011, 5016, 5019, 5020, 5019, 5016, 5011? -j**2 + 8*j + 5004 What is the g'th term of -2203, -4396, -6589, -8782, -10975, -13168? -2193*g - 10 What is the k'th term of -839, -1682, -2525, -3368, -4211? -843*k + 4 What is the y'th term of -576, -1212, -1848, -2484? -636*y + 60 What is the s'th term of -21407, -21353, -21275, -21161, -20999, -20777? 2*s**3 + 40*s - 21449 What is the v'th term of 11638, 11642, 11646, 11650? 4*v + 11634 What is the b'th term of 12738, 12745, 12750, 12753? -b**2 + 10*b + 12729 What is the p'th term of 1916, 7628, 17150, 30482, 47624, 68576, 93338? 1905*p**2 - 3*p + 14 What is the u'th term of 8, 920, 3660, 9146, 18296, 32028? 153*u**3 - 4*u**2 - 147*u + 6 What is the n'th term of -134, -140, -138, -116, -62, 36? 2*n**3 - 8*n**2 + 4*n - 132 What is the u'th term of 9158, 18386, 27624, 36878, 46154, 55458, 64796? u**3 - u**2 + 9224*u - 66 What is the j'th term of -17730, -17723, -17712, -17697, -17678, -17655? 2*j**2 + j - 17733 What is the u'th term of -662, -670, -688, -716, -754, -802? -5*u**2 + 7*u - 664 What is the x'th term of -799, -811, -835, -871, -919? -6*x**2 + 6*x - 799 What is the o'th term of 645011, 645010, 645009? -o + 645012 What is the m'th term of 1888, 3861, 5834, 7807? 1973*m - 85 What is the g'th term of 366, 774, 1194, 1632, 2094, 2586? g**3 + 401*g - 36 What is the h'th term of -83734, -167471, -251208? -83737*h + 3 What is the z'th term of -1058, -1229, -1688, -2579, -4046? -24*z**3 - 3*z - 1031 What is the a'th term of -525, -482, -439, -396, -353, -310? 43*a - 568 What is the f'th term of 850, 1150, 1638, 2302, 3130, 4110, 5230? -2*f**3 + 106*f**2 - 4*f + 750 What is the x'th term of 3428, 27426, 92562, 219404, 428520, 740478, 1175846, 1755192? 3428*x**3 + x**2 - x What is the b'th term of -321957, -321972, -322003, -322056, -322137, -322252? -b**3 - 2*b**2 - 2*b - 321952 What is the l'th term of 298, 914, 1846, 3094, 4658? 158*l**2 + 142*l - 2 What is the g'th term of -232957, -232937, -232905, -232861, -232805, -232737? 6*g**2 + 2*g - 232965 What is the o'th term of -319, -344, -367, -388, -407? o**2 - 28*o - 292 What is the n'th term of -3718324, -3718325, -3718326, -3718327, -3718328? -n - 3718323 What is the z'th term of -1198, -1188, -1178, -1168, -1158, -1148? 10*z - 1208 What is the v'th term of 26, 1185, 4286, 10301, 20202, 34961, 55550, 82941? 162*v**3 - v**2 + 28*v - 163 What is the s'th term of -118, -395, -870, -1555, -2462, -3603, -4990, -6635? -2*s**3 - 87*s**2 - 2*s - 27 What is the u'th term of -8395, -8400, -8409, -8422, -8439, -8460? -2*u**2 + u - 8394 What is the i'th term of -65774, -65767, -65756, -65741, -65722, -65699, -65672? 2*i**2 + i - 65777 What is the h'th term of -1560824, -1560825, -1560826, -1560827? -h - 1560823 What is the x'th term of -29481, -58954, -88423, -117888, -147349, -176806, -206259? 2*x**2 - 29479*x - 4 What is the g'th term of -7674, -7640, -7588, -7518, -7430, -7324? 9*g**2 + 7*g - 7690 What is the y'th term of 207, 1038, 2421, 4356, 6843, 9882, 13473? 276*y**2 + 3*y - 72 What is the t'th term of 1544, 6065, 13610, 24185, 37796, 54449? t**3 + 1506*t**2 - 4*t + 41 What is the c'th term of 587, 37, -879, -2161, -3809, -5823, -8203? -183*c**2 - c + 771 What is the h'th term of -180247, -180245, -180243, -180241, -180239, -180237? 2*h - 180249 What is the w'th term of 407, 772, 1149, 1538, 1939, 2352, 2777? 6*w**2 + 347*w + 54 What is the o'th term of -90, -126, -194, -300, -450, -650, -906? -o**3 - 10*o**2 + o - 80 What is the t'th term of -1105, -2128, -3151, -4174? -1023*t - 82 What is the c'th term of 1845348, 1845349, 1845350? c + 1845347 What is the g'th term of 5117, 10266, 15415, 20564, 25713? 5149*g - 32 What is the j'th term of -148603, -148631, -148659, -148687, -148715? -28*j - 148575 What is the z'th term of 18469, 18489, 18509, 18529, 18549, 18569? 20*z + 18449 What is the a'th term of 3762, 7577, 11390, 15201, 19010, 22817, 26622? -a**2 + 3818*a - 55 What is the n'th term of -1484790, -1484792, -1484796, -1484802, -1484810, -1484820? -n**2 + n - 1484790 What is the y'th term of 49975, 99931, 149887, 199843, 249799, 299755? 49956*y + 19 What is the n'th term of -6872395, -6872396, -6872397, -6872398, -6872399? -n - 6872394 What is the c'th term of 1, -157, -579, -1397, -2743, -4749, -7547? -22*c**3 - 4*c + 27 What is the a'th term of -78371, -156741, -235111? -78370*a - 1 What is the l'th term of -947, -699, -287, 289, 1029, 1933, 3001? 82*l**2 + 2*l - 1031 What is the h'th term of -1092, -794, -520, -282, -92, 38, 96, 70? -2*h**3 + 312*h - 1402 What is the u'th term of 150, -79, -306, -531, -754? u**2 - 232*u + 381 What is the v'th term of -229, -285, -319, -331, -321? 11*v**2 - 89*v - 151 What is the c'th term of 155950, 311900, 467850, 623800? 155950*c What is the a'th term of 4174, 8329, 12484, 16639, 20794, 24949? 4155*a + 19 What is the m'th term of 36, 194, 352, 510? 158*m - 122 What is the d'th term of -1124, -1122, -1120, -1118, -1116? 2*d - 1126 What is the l'th term of 1230, 3151, 5072, 6993? 1921*l - 691 What is the z'th term of -322, -524, -736, -964, -1214, -1492, -1804? -z**3 + z**2 - 198*z - 124 What is the b'th term of 144, 160, 150, 102, 4, -156, -390, -710? -2*b**3 - b**2 + 33*b + 114 What is the m'th term of -1037264, -1037263, -1037262, -1037261? m - 1037265 What is the u'th term of -8832, -8550, -8080, -7422, -6576? 94*u**2 - 8926 What is the p'th term of 46738, 46704, 46648, 46570? -11*p**2 - p + 46750 What is the m'th term of -37333, -37337, -37341, -37345, -37349, -37353? -4*m - 37329 What is the g'th term of 698, 1392, 2086, 2780? 694*g + 4 What is the i'th term of -159, -561, -1175, -2001, -3039, -4289? -106*i**2 - 84*i + 31 What is the h'th term of 51152, 102300, 153446, 204590? -h**2 + 51151*h + 2 What is the n'th term of 7564, 7611, 7658, 7705? 47*n + 7517 What is the a'th term of 2026793, 2026789, 2026783, 2026775? -a**2 - a + 2026795 What is the o'th term of 638, 596, 554, 512? -42*o + 680 What is the p'th term of 1442, 1387, 1332, 1277, 1222, 1167? -55*p + 1497 What is the t'th term of -1984, -1787, -1590, -1393, -1196, -999? 197*t - 2181 What is the i'th term of 2606, 5141, 7608, 10007, 12338, 14601, 16796? -34*i**2 + 2637*i + 3 What is the s'th term of 172795, 172798, 172801, 172804, 172807, 172810? 3*s + 172792 What is the j'th term of -16, -55, -96, -139, -184? -j**2 - 36*j + 21 What is the m'th term of -346626, -346627, -346628, -346629, -346630? -m - 346625 What is the o'th term of 167, 1287, 4307, 10175, 19839? 158*o**3 + 2*o**2 + 8*o - 1 What is the a'th term of -45, -250, -613, -1140, -1837, -2710, -3765, -5008? -a**3 - 73*a**2 + 21*a + 8 What is the j'th term of -17, -230, -751, -1724, -3293, -5602, -8795, -13016? -24*j**3 - 10*j**2 - 15*j + 32 What is the o'th term of 123871, 247740, 371609? 123869*o + 2 What is the i'th term of 34079, 68165, 102255, 136349, 170447? 2*i**2 + 34080*i - 3 What is the m'th term of 71, 57, 57, 77, 123? m**3 + m**2 - 24*m + 93 What is the m'th term of -155956, -311921, -467890, -623863, -779840, -935821? -2*m**2 - 155959*m + 5 What is the b'th term of 2588, 3082, 3584, 4100, 4636, 5198? b**3 - 2*b**2 + 493*b + 2096 What is the b'th term of -1718, -3286, -4854, -6422, -7990, -9558? -1568*b - 150 What is the r'th term of 20555, 41107, 61659, 82211, 102763? 20552*r + 3 What is the i'th term of -2220387, -4440770, -6661153? -2220383*i - 4 What is the b'th term of 81, 249, 525, 909, 1401, 2001, 2709? 54*b**2 + 6*b + 21 What is the o'th term of 174, 1830, 4596, 8472, 13458, 19554? 555*o**2 - 9*o - 372 What is the u'th term of 219, 467, 777, 1179, 1703, 2379? 5*u**3 + u**2 + 210*u + 3 What is the n'th term of -10195, -10081, -9967, -9853, -9739? 114*n - 10309 What is the s'th term of 21022, 20826, 20632, 20440, 20250,
{ "pile_set_name": "DM Mathematics" }
28. 13.35332 Total of 14742234 and -0.2. 14742233.8 What is -2 + 0.277767243? -1.722232757 What is -117896619 + -0.3? -117896619.3 What is 767.735 take away 1580? -812.265 Total of 28 and 496875. 496903 Add -87291194 and -24. -87291218 What is -1.79 + -3409276? -3409277.79 What is 2 take away 3456594.6? -3456592.6 Work out -91 + -1587.92194. -1678.92194 What is -44.1 plus 1289.26? 1245.16 Calculate -801.146397 + -0.5. -801.646397 What is -1438 less than 28.42? 1466.42 What is the distance between -41453.9317 and -0.77? 41453.1617 Work out 158929 + 1893.84. 160822.84 Sum 2084011827 and -4. 2084011823 -16725.4 - -10529.2 -6196.2 -39 + -155995 -156034 Put together -18.2565 and -26232. -26250.2565 What is the distance between -0.076860275 and -0.4? 0.323139725 -14 + 2668868 2668854 What is -3.1 + -946.197? -949.297 What is -0.0408 - 204439? -204439.0408 Work out -1909 - -2715. 806 What is -68 plus 1515392? 1515324 What is -6.225 - -1.62? -4.605 Put together 34412033 and 1. 34412034 Calculate -0.9 - 4984444.041. -4984444.941 What is -37288268 - 848? -37289116 Calculate -0.1 + -6541456. -6541456.1 What is -0.3812 - 294.6933? -295.0745 Total of -98570 and -222.4. -98792.4 What is 54514 less than -28.687? -54542.687 What is the distance between 972632 and 625.2? 972006.8 What is 0.0549 - -43343? 43343.0549 Work out 308.2 + -3164. -2855.8 What is 98 minus -5248.5959? 5346.5959 What is -20791851 plus -0.3? -20791851.3 Subtract -0.8 from 1270117055. 1270117055.8 -664 + -297959.4 -298623.4 Sum 679.731 and -0.1813. 679.5497 Calculate 20809 - -1056371. 1077180 What is -0.3 plus 2062170751? 2062170750.7 Total of 770 and 79.2489. 849.2489 What is -4 + -481.296648? -485.296648 What is the difference between 1452.55 and -0.352? 1452.902 What is -74.72 + 18597? 18522.28 Add together 18307.099 and -1.749. 18305.35 -714.654 - -5.94 -708.714 What is 2.103141274 + 5? 7.103141274 Total of 3758684 and -12.67. 3758671.33 What is the difference between 0 and -1.19380619? 1.19380619 Sum -75 and 54.6876. -20.3124 Work out 1191265 - -28. 1191293 Calculate -95.461 - 0.01984. -95.48084 0.3629 + 195773 195773.3629 What is 67 plus -1839985? -1839918 What is the distance between 101260 and -0.43234? 101260.43234 Subtract 18509232 from 0. -18509232 What is -239 less than 0.1861777? 239.1861777 Calculate -11 - 38229.09. -38240.09 What is -1 less than 836.7806? 837.7806 What is the distance between -0.06529 and 0.05084? 0.11613 What is 0.1071089303 take away -15.4? 15.5071089303 Add 0.21569922187 and 2. 2.21569922187 What is -333366.45 - 0.3? -333366.75 0.82472 - 57812 -57811.17528 What is 60 less than 263866805? 263866745 Subtract 0.058375 from -0.043692. -0.102067 Calculate -2.721 + -15954496. -15954498.721 What is 647 plus 87026531? 87027178 Put together 5989.1 and -0.093282. 5989.006718 What is 31166 take away 4.16815? 31161.83185 -1286422 - -36 -1286386 -0.06+1468981.414 1468981.354 Sum -499 and -14.103649. -513.103649 -293297672 - 2 -293297674 Calculate -0.0126365 - 0.0118. -0.0244365 2179800.86+-2 2179798.86 What is -15.721 take away -18313? 18297.279 Total of -2305 and 224.1184. -2080.8816 -0.5 + -38757299 -38757299.5 Work out 359081059 + 4. 359081063 Calculate -1.21220921 + -1.6. -2.81220921 Calculate -1689295.3 - -2.5. -1689292.8 Add 152927.9 and -10. 152917.9 Put together 0.3 and -1.7580943248. -1.4580943248 Put together -0.1 and 113120453. 113120452.9 Work out -13.77 + 2573155.6. 2573141.83 6 + -2.25363565 3.74636435 Work out 534070 + -13837. 520233 What is 13 take away -303.00545? 316.00545 Sum -0.5 and -110580580. -110580580.5 What is 253313 minus -296? 253609 -5 - -18828902 18828897 Add 7851 and -1086.8. 6764.2 Work out 16908058 - 18. 16908040 Sum -28 and 3210257.5. 3210229.5 Calculate 750 - 0.10039. 749.89961 What is 6.57 take away -1436732? 1436738.57 -215 - 7570559 -7570774 -2557 + -11548 -14105 What is -22305253 - 3? -22305256 What is the difference between 15.34 and -363620? 363635.34 What is 1732.22 plus 201? 1933.22 What is 521667 + 2874? 524541 Sum 27.1478 and -41. -13.8522 -5482+-8780 -14262 Work out 3.46 - 38121230. -38121226.54 What is 0.0329986 minus 3863.5? -3863.4670014 -1935512 - -692.4 -1934819.6 What is -2203 + -0.1629? -2203.1629 What is -0.04 plus 691115188? 691115187.96 Subtract -1247.269 from -13.15. 1234.119 What is -419321916 take away 8? -419321924 What is the difference between 1271971 and 11? 1271960 Calculate 12.636 - -51519. 51531.636 -0.2+16652432236 16652432235.8 -1097021151.57 + -1 -1097021152.57 What is the distance between -0.00493 and -72729? 72728.99507 What is the difference between -370 and -10429? 10059 Add 17 and -461.13322. -444.13322 Sum 4510186 and -2999. 4507187 Add 0.009819 and -125.77. -125.760181 Work out 10930 - 138. 10792 What is -238660 plus -0.6? -238660.6 What is the distance between 1474358965 and -68? 1474359033 Work out -0.0172 - 162789. -162789.0172 What is -3 plus 2720696? 2720693 What is the difference between 1.0999 and -0.0323? 1.1322 Subtract 50795 from -2541. -53336 What is -0.043 - 158891? -158891.043 -36 - -2159793 2159757 Add together -3694139681 and -0.4. -3694139681.4 -776.746384 - -15 -761.746384 What is -644 + 0.028413? -643.971587 What is 0.18851631 + 40? 40.18851631 What is 13 less than -3014459? -3014472 What is the distance between -0.7 and -10039688? 10039687.3 Add together 2.5963969941 and 2. 4.5963969941 Calculate -3 - 12836328.92. -12836331.92 Add -16669012 and 5. -16669007 Add 12828 and 3508. 16336 186976 - 3.768 186972.232 Calculate 6.98 - 2649679. -2649672.02 Subtract 0.236 from 0.376561. 0.140561 Calculate -3349694 - -0.067. -3349693.933 -0.0979+2890237 2890236.9021 Sum -2995 and 234822. 231827 What is the distance between 6219 and -0.2636287? 6219.2636287 Sum -0.011185 and -611. -611.011185 Work out 149 - -28073. 28222 Work out 113022960 - 177. 113022783 Work out -0.13628351 - -1. 0.86371649 Total of 10 and 55.5459211. 65.5459211 What is -36791 minus -134.32? -36656.68 18 + 545.031 563.031 Add 61608159938 and 5. 61608159943 Calculate -108507 + 202438. 93931 Work out 10545 + -8027.25. 2517.75 Subtract 42399728 from 1358. -42398370 Subtract -12100.8877 from 0.1. 12100.9877 Calculate -1.262 + -5002.87. -5004.132 What is -0.28022 - 1847426? -1847426.28022 Work out -3057 - 23574.54. -26631.54 What is -3 take away 2239002? -2239005 Sum -3 and 78.89491. 75.89491 What is -16 less than -116289.68? -116273.68 Work out 0.1 - 185898092. -185898091.9 What is 0.1 less than -23885.923? -23886.023 Work out -2.79768189 - 0.4. -3.19768189 What is 0.07193 take away 7558301? -7558300.92807 What is 1.016 minus -1190? 1191.016 Subtract 9287885 from 0.3. -9287884.7 919103175 + 0.5 919103175.5 What is -4 - -60.8922768? 56.8922768 Put together -413 and 798122. 797709 Total of -14 and 1108514405. 1108514391 What is -72151371.55 + -1? -72151372.55 Subtract 561547 from -148. -561695 0.34776+53.118 53.46576 What is the difference between 2.1 and 1555472? 1555469.9 Add 0.02 and 75.669473. 75.689473 What is -432 less than 1321147? 1321579 Add together -3256 and 1468. -1788 1759+-390722 -388963 What is -843 plus 49.65? -793.35 What is the distance between -192.5 and 0.7845? 193.2845 Work out 424096520 - 2. 424096518 3 - 9366219 -9366216 -12357 - -91950 79593 What is 592 plus 1.862? 593.862 What is 1473.256297 less than -5? -1478.256297 What is 527605 - -228? 527833 What is the difference between -10.7 and -749974899? 749974888.3 Total of 0.0847 and -356449. -356448.9153 What is the difference between -788.6 and -1.018? 787.582 0.3+1403338017 1403338017.3 What is -6228 - -7.346844? -6220.653156 What is -0.074484 minus 0.53959? -0.614074 Total of 137673410 and 0.054. 137673410.054 Calculate -1.83 + -902038. -902039.83 What is 21899.4 - 0.29? 21899.11 Add -1.26033 and -0.0274. -1.28773 What is 1262.4 minus -0.179? 1262.579 Subtract 13236 from 1123405. 1110169 Total of -7993 and -2378. -10371 What is -1090 plus -0.38902? -1090.38902 What is -6891 less than -208774? -201883 What is 0.5 plus -228606330? -228606329.5 What is 4 take away 1797.67953? -1793.67953 What is 1.28 less than -328120.4? -328121.68 Add together -364.0362 and 183. -181.0362 What is -10.4 minus 5.34991? -15.74991 What is 3683335826 less than -2? -3
{ "pile_set_name": "DM Mathematics" }
r(l) = l - 13. Let v be r(9). What is the nearest to y in 1/3, 0.1, v? 0.1 Let t = -243.9 - -244. Which is the closest to -2? (a) t (b) 2/7 (c) -1 c Let o be (-6)/36 + 358/(-12). Let q be (-6)/o*(-10)/16. Which is the nearest to 2? (a) 1.1 (b) q (c) 0.5 a Let o be (-2)/(-6)*(-13392)/(-5394). What is the closest to 0.1 in -0.1, 4, o, 1/6? 1/6 Let b = 7056 - 7057. Let f = 0.2 + -0.4. What is the nearest to b in -4, -3/2, f? -3/2 Let s = 10 - 14. Let g = -881 - -879. Let q = 3 - 2.9. What is the closest to q in s, g, 3/4? 3/4 Let o = -447 + 6703/15. Which is the nearest to 1? (a) -0.1 (b) -0.3 (c) o (d) -80 a Let r = 8 + -4.8. Let h = r - -4.8. Which is the closest to 0? (a) 3 (b) 0.1 (c) h b Let d = 486 + -482.11. Let p = d - -0.11. Which is the closest to 0.1? (a) -0.5 (b) p (c) 0.1 c Suppose 2*k - 7*k + 115 = 0. Suppose -k = -4*c + 2*x - x, 0 = -3*x - 9. Let b = -0.11 + 0.21. What is the closest to b in -1, -1/2, c? -1/2 Let t = -0.03 + 0.15. Let v = -0.32 + t. Which is the closest to -1? (a) v (b) 7 (c) 0 a Let d = -0.01 - 0.59. Let g = 1 + d. Let t = 0.2 - 0.3. Which is the nearest to 1/4? (a) g (b) t (c) 2 a Let w = 44.5 + -38. Let y = w - 7.3. What is the closest to 1 in -1/2, 0, y? 0 Suppose 4*a - 3*f + 13 = 0, -3*f + 4*f = 3*a + 6. Let z be (12 + -6)/((-2)/a). What is the nearest to 0 in 0.23, z, 0? 0 Let f = 44.1 - 44.2. Let p = -1.8 + 2. Which is the nearest to f? (a) 1 (b) p (c) 3/7 b Let h = 6/155 - -232/2015. Which is the closest to 3/8? (a) 0.4 (b) 1/5 (c) h a Let n = -4.89 + -0.11. Let k be (-23)/(-4) - 4 - -3. Let v = 107/20 - k. What is the closest to 1 in n, v, 1/5? v Let g = 4.1 - 1.7. Let z = g + 2.6. Which is the nearest to 1? (a) 0.4 (b) z (c) -0.3 a Let r(y) = -2*y**3 - 2*y**2 - 2*y + 3. Let h be r(-3). Which is the closest to 0? (a) -3 (b) 4 (c) h (d) -0.5 d Let a = -0.9 - -1. Let r = -1.141 + 0.141. What is the nearest to a in 2, r, 2/19? 2/19 Let y = -2061.3 + 2061. What is the closest to -5/6 in -5, y, -3? y Let y = 0.19 + 14.81. Let m = y - 14.98. Let h = m + -4.02. What is the closest to h in -5, 0, 1/3? -5 Let k be 2*(6/5 + -1). Suppose 15*i = 14*i + 6. Let q be (-1)/4 + i/(-24). What is the closest to q in k, 2/9, -1? -1 Suppose 65 = 5*t - 2*o, 10 = -t - 0*t + 5*o. Let s = -14 + t. Which is the nearest to -1? (a) 5 (b) s (c) -0.3 c Let t = 144 + -144.65. Let z = t - -0.45. What is the nearest to -1.4 in 4, z, 3/5? z Let p = -0.0161 + -0.0839. Which is the nearest to p? (a) -0.4 (b) 4 (c) 1/3 a Let d = -7 - -45. Let h = -37.5 + d. Which is the closest to 1? (a) 2/3 (b) h (c) -1/2 a Let l = 42 - 45. Suppose -15*x - 12 = -14*x - 2*s, -3*x = -4*s + 30. Which is the closest to -0.2? (a) x (b) l (c) 6/7 c Let z = 20.741 - -0.359. Let w = z + -21. Let i be (-15)/190*4/3. What is the closest to w in -0.1, i, 0.2? 0.2 Let s = -153 + 152. Which is the nearest to -2/5? (a) 0.5 (b) 4 (c) s c Let z = 943/7945 + -4/35. Which is the closest to 0? (a) 4/7 (b) z (c) 0.3 b Let v = 17.2 - 17.5. What is the nearest to -4/13 in v, 2, 0, -1/5? v Let c = 0.04 - -0.96. Let p = -13.3 - -13.13. What is the closest to p in -3, -1, c? -1 Let i = 3486/13 - 268. Let x(a) = a**3 + 6*a**2 + 4*a - 1. Let f be x(-7). Let k = f + 153/2. What is the nearest to 2/5 in k, -2, i? i Let c = -0.379 - 0.121. What is the closest to 1/4 in 2, -2, 2/3, c? 2/3 Let s = -0.78 - -4.48. Let i = -3.2 + s. Which is the closest to 1? (a) i (b) -3 (c) -0.03 a Let z = 0.8 + 11.2. Let t = z + -24. Let u = 11 + t. What is the nearest to u in -0.1, 0.08, 3/7? -0.1 Let d = 2 - 2. Let a(z) = -31*z - 186. Let r be a(-6). What is the closest to d in 4, r, 1? r Let x = -6/125 - -137/250. Let d = -2.6 + 3. What is the closest to x in -0.4, d, 5? d Let j = -128/15 - -41/5. Which is the nearest to -1/2? (a) -4 (b) j (c) 0.3 b Suppose 4*y - u + 30 = 0, 6 = -3*y - 3*u - 24. Which is the closest to -9? (a) y (b) -0.3 (c) 0.1 a Let y = -11.9 + 10.9. Let d = -11/4 - -5/4. Let t be (-7 + (-5)/10)*(-4)/6. What is the closest to y in d, 1/3, t? d Let q = -736.1 - -736. Which is the closest to q? (a) -5.5 (b) 1/2 (c) 3 (d) -0.3 d Let t be (-2)/11*12/24. What is the closest to -1/8 in t, -0.2, -49? t Let x = -31 + 30.5. Let y = 8 - 13. Let v = -4 - y. Which is the nearest to v? (a) 3 (b) x (c) -5/3 b Let g = -52 + 50. Let h be ((-1)/(-3))/(22/(-10) - g). Suppose 5*n + 0 = -10. Which is the closest to n? (a) -1 (b) -1/4 (c) h c Suppose -4 = -7*k + 3. Let u = 1 - -1. Suppose g = -k + u. Which is the closest to g? (a) -1 (b) 5 (c) 4/9 c Let o be (-2*(-4)/(-12))/((-4)/(-3)). Let b = -14 + 13.9. What is the closest to b in o, 0.4, 1/2? o Let x be (-32)/42 - (-60)/140. Let i = 0.04 - 0.54. Which is the nearest to -0.4? (a) x (b) -5 (c) i a Suppose -7*g = -3*g - 4. Let h = 15717/11 - 1429. What is the nearest to h in g, -2/5, 2/5? -2/5 Let m = -0.5 + -0.5. Let f = -0.08 - 11.92. Let a = -11 - f. What is the closest to m in -5, a, 0.4? 0.4 Let d = -1.6 - -1.63. Which is the closest to d? (a) 5 (b) 2/11 (c) 0.6 b Let x = -12.9 + 9.9. Which is the closest to 1? (a) x (b) -5 (c) -11 (d) 1 d Let g = 175 - 172. Which is the closest to 0.3? (a) 7/4 (b) g (c) -4 a Let u be 2/8 - (-1)/(-36). Let r = -37 + 33. What is the closest to -0.1 in r, u, -1/3? -1/3 Suppose 0 = 38*f + 231 - 2929. What is the closest to 2/3 in -5, f, -2? -2 Let u = 737/2 - 367. What is the closest to 0.1 in -0.2, -48, u? -0.2 Let h = -2/2179 - 13060/15253. Which is the nearest to 0? (a) h (b) 7 (c) 0.5 c Suppose 1032 = -15*w + 11877. What is the nearest to w in 4, 3/5, -2? 4 Let w = 0.48 - 0.25. Let g = -0.03 + w. Let m = -268/3 + 90. Which is the closest to -2/7? (a) -0.2 (b) g (c) m a Let p(r) = 34*r + 447. Let h be p(-13). What is the closest to -1 in h, -4, 5/9? 5/9 Let s = -1539.9 + 1540. Which is the nearest to 2/5? (a) -0.5 (b) s (c) -2 b Let m = -115/3 + 1153/30. What is the nearest to 1/9 in m, -0.1, 0.08? m Suppose 4*u = -u + 5. Let d be ((-6)/(-54))/(u/(-3)). Suppose 5*t - 3*r = -12 - 7, 0 = 3*t - 5*r + 5. What is the nearest to d in 3, 2/13, t? 2/13 Let m = -115.5 + 116. What is the closest to -1/5 in m, -1/5, 3? -1/5 Let f = -2.47 + 0.47. Let s = -0.17 - -0.19. Which is the closest to 2? (a) f (b) 0.1 (c) s b Let y = -5 - -4.6. Let v = -227 - -226.5. What is the closest to v in 1/4, -3/8, y? y Let n = 3.8 - 0.3. Let z = 0.5 + n. What is the closest to -2 in z, -5, 2? -5 Let i = -21 - -19. Let t be 1/(-3)*2/10*5. Which is the closest to t? (a) 4 (b) 0 (c) i b Let f = -2.06037 + 0.06037. Let g = 3.2 - 3. Let r = 59/110 - 2/55. What is the closest to g in -0.2, f, r? r Let p = -0.4 - -0.49. Let s = p + 0.31. Let w be 6*(3 + 21/(-6)). Which is the closest to -2/7? (a) 0.1 (b) w (c) s a Let l(j) = -j**2 + 4*j + 7. Let p be l(6). Let r be (-3)/12 + p/(-4). Let z = -1160 + 1162. What is the nearest to r in 2/13, -0.3, z? 2/13 Let g(p) = -p**3 + 10*p**2 - 6*p - 1. Let s be g(9). Suppose 8 = 2*u + v + 1, -u + 4*v = -s. Which is the closest to 1? (a) u (b) 1/3 (c) 2 b Let l = 2.147 - 3.147. What is the closest to 1 in l, 0.2, 5, -0.25? 0.2 Let p = 266 + -266. What is the nearest to 1 in p, 5, -2/5? p Let g = -103 + 99. Let w = 8 - 8.3. What is the nearest to w in -0.5, 1, g? -0.5 Let i be (3 + 5)/(-2) - -11. Suppose -11*u + 18 = i*u. Suppose -w - 10 = 3*x, 4*w + 12 - 4 = -4*x. What is the closest to w in u, -0.2, -4? u Let i be 3/185*(-1660)/(-498). Which is the nearest to 0.2? (a) i (b) 2/15 (c) 2/5 b Let h = -239.92 + 240. What is the closest to h in -0.3, -5, -3? -0.3 Let m = -35 - -247/7. Let d be 4179/(-210) - -19 - (-1)/(-10). Which is the nearest to m? (a) 5 (b) d (c) 1/8 c Let p = -12 - -4. Let g = 8 + p. What is the nearest to g in -4, 2/9, -5? 2/9 Let y = -2 + -1. Let j be 4/(-6)*(-48)/(-64)*0. Which is the nearest to 2? (a) 0.2 (b) j (c) y a Suppose -2*l - h + 28 = 2*l, 0 = -3*h. What is the closest to 2/3 in l, -3/5, 0.06? 0.06 Let k = -12 + 17. Let t = -2.4 + 7. Let y = k - t. What is the closest to 1 in 5, 0, y? y Suppose -4*i + 21 = -7*i - 3*p, 4*i = -p - 16. Which is the closest to -3? (a) -0.7 (b) i (c) -2/9 b Let o = 286.1 + -286. Let l = 1 + 1. What is the closest to o in l, -3, 2/7? 2/7
{ "pile_set_name": "DM Mathematics" }
ppose -5 - 170 = -o*h. Is 3 a factor of h? False Suppose 26*y - 1974360 = 7*y - 582097. Is y a multiple of 38? False Let z(x) = 8*x - 42. Let o be z(7). Suppose o*y + 1957 = 6885. Does 32 divide y? True Let y = 3478 + -5070. Let l = -962 - y. Is 18 a factor of l? True Suppose -9690 = 2*j - 7*j. Suppose -646 = -v - 2*s + 5*s, 3*v - j = -3*s. Does 20 divide -2 + ((-8)/(-16) - v/(-4))? True Does 29 divide (21/35)/(3/(-15)) - -4208? True Suppose -5*y = -2*q - 26, -3*q + 7*q + 12 = 0. Let b(c) = 21 - 25 + 51 - y*c. Is 17 a factor of b(-18)? True Suppose 0 = 89*b - 2797855 + 999076. Is 83 a factor of b? False Let y(n) = 8*n**2 - 6*n - 5. Let v be 1*(-18)/6 + 14 + 1. Suppose 5*o + 2*t - v = 0, 4*o - 3*t - 2*t - 36 = 0. Is y(o) a multiple of 9? True Let c = 4547 - 1334. Is (c/108)/((-1)/(-4)) a multiple of 18? False Let w = -34519 + 51939. Is w a multiple of 130? True Let i(l) = l**3 - 27*l**2 + 59*l. Suppose -6*r + 4*r = -3*k - 41, -r + 2*k + 19 = 0. Is 5 a factor of i(r)? True Suppose a + 4*m - 5 = 3*m, 4*a - 2*m - 8 = 0. Suppose a*r - 9*r = -270. Is 34 a factor of r? False Let y be (-2 + 9/2)/(2/20). Suppose r - 2 + 9 = -5*t, -5*r + 5*t + y = 0. Let w = r - -9. Is w a multiple of 9? False Let a be 88/(-33)*3/(-4). Suppose -2*k - 167 = -h, -a*h + k = -6*h + 704. Is 25 a factor of 15/(((-90)/h)/(-6))? True Let q(t) = t**3 - 6*t**2 + 13*t. Let x = 120 - 122. Let h be (x/4 + (-33)/22)*-4. Is q(h) a multiple of 21? False Let a = 82 - 79. Suppose 1863 = a*z - 759. Suppose -5*j - 3*q + 1097 = q, -4*j - 5*q + z = 0. Does 13 divide j? True Suppose -k + 46 = -3*a, -3*a = -3*k + 56 + 64. Suppose k*i - 13*i - 5040 = 0. Is i a multiple of 10? True Let m be (0 - 696) + -1*2/(-1). Let z = -491 - m. Is 9 a factor of z? False Let r be -308*(48/(-28))/(-2). Let z = -324 + r. Let i = -401 - z. Is i a multiple of 17? True Suppose 29*w + 29*w - 69*w = -158114. Does 18 divide w? False Let p be (-2)/(-2) - (-9 + 25). Let l = 19 + p. Suppose 0 = b - 11 - l. Is b a multiple of 3? True Let r = 121 + 69. Suppose -13*d = r - 658. Is d a multiple of 3? True Let q be (-2)/((-8)/32*4). Suppose 0 = d + q*r - 221, 5*r - 1508 = -5*d - 413. Does 11 divide d? False Suppose 2 = 4*x - 14. Let p be 1 + (x - 8) - -11. Suppose -4*d - p = -100. Does 4 divide d? False Is ((-383990)/(-8))/5 + (4 - 60/16) a multiple of 128? True Let z = 2103 + 33191. Does 17 divide z? False Let d(k) = k**2 - 3*k - 16. Let b be d(6). Let f be 3/3 + (1 - 44 - b). Does 11 divide 2 - f/(-24) - (-411)/18? False Let x = 42238 + -21965. Is 19 a factor of x? True Let w(f) = 266*f**3 - 146*f + 297. Is w(2) a multiple of 237? True Suppose 0 = -156*n + 152*n + 1033 + 139. Is n a multiple of 3? False Is (125/60*9)/((-17)/(-3468)) a multiple of 17? True Let c be 3/(-2)*6*2. Let x(k) = -k**3 - 18*k**2 - 26*k + 87. Let r be x(-16). Let y = r - c. Does 9 divide y? True Is 8 a factor of 47514/9 + (-82)/(-123)? True Suppose -4*j - 20 = 0, 0*s - 2*s - 2*j = 0. Suppose c - s*c - 93 = -3*q, 3*q + 3*c = 72. Suppose -3*h + q = -30. Is h a multiple of 6? False Does 39 divide (-4844202)/(-308) - (-4)/56? False Let k = 78 + -54. Let d = k - -748. Is 6 a factor of d? False Let b(p) = 3300*p**2 - 30*p - 58. Is 161 a factor of b(-2)? True Let o be (8/6 + -1)/(36/108). Let j be (-1)/((-12)/16 + o)*-61. Suppose 1296 = 248*c - j*c. Is 36 a factor of c? True Let x = -86 - -91. Suppose x*m - 25 = -4*h - h, 3*m + h - 15 = 0. Suppose -85 = m*i - 410. Is i a multiple of 12? False Let f = 68 - 48. Suppose -4*n + 9*n - 5*c - f = 0, -1 = -c. Suppose 5*g = b - 0*b - 154, -n*b + 724 = -2*g. Is b a multiple of 18? True Let p = -73 - -61. Let f be (-6)/(-4) + 774/p. Let v = f - -159. Is 30 a factor of v? False Suppose 5*i = 8*i. Suppose i = -8*m - 9 + 41. Suppose -u = t + 60 - 188, 0 = m*u + t - 524. Is 22 a factor of u? True Let r = -468 - -470. Suppose -580 = -v + 5*b, 0*b + 2408 = 4*v + r*b. Is 10 a factor of v? True Suppose -75 + 66 = 3*q. Is 4 a factor of q/6*-32 + 0? True Let i = -33 + 39. Suppose -8*l + 30 = -i*l. Is 14 a factor of l? False Let s be (-4897)/(-4) - (-5)/(-20). Let a = -220 - -229. Does 9 divide a/6*s/27? False Let f(s) = -s**2 + 3*s - 21. Let i be f(4). Let n = 30 + i. Suppose -n*w + 208 = -3*c, 0 = c - 5 + 6. Does 3 divide w? False Let p be (-20)/(-2) + (-4)/(36/(-45)). Is (-3024)/120*p/(-6) a multiple of 7? True Suppose -43*t + 39*t + 276 = 0. Let i = t + -127. Is 10 a factor of (0 - (-1 - -2))*(-1 + i)? False Let b = 1 + -29. Let y be (-8 + b)*((-1)/(-3) + -2). Is (-92)/(-3) + y/45 a multiple of 8? True Suppose 5*b - 442 = 468. Suppose 0 = 4*w, a - w = 3*a - b. Let k = a + -7. Does 42 divide k? True Let u be 4/10 - (-162)/270. Suppose 3*h - 207 = -3*f, -f - u + 198 = 3*h. Does 8 divide h? True Let s(d) = -2*d**3 - 2*d**2 + 5*d + 2. Let u be s(-2). Suppose -3*q - 3*n + 348 = 0, 2*n - 1 + 9 = u. Is 8 a factor of q? True Suppose -5*w - 26*k + 25*k = -11888, 2*w + 4*k - 4784 = 0. Does 12 divide w? True Let x(y) be the third derivative of y**6/120 - 7*y**5/20 + 49*y**4/24 + 4*y**3/3 - 98*y**2. Does 7 divide x(20)? True Suppose -311*j + 344*j = 2706. Does 20 divide j? False Let x(d) = -d**3 - 2*d**2 + 12*d + 823. Does 9 divide x(0)? False Let y = 2338 + 6008. Is y a multiple of 214? True Let m(p) be the third derivative of -p**4 + p**3/3 - 14*p**2 - p. Is m(-4) a multiple of 13? False Suppose -5*q + 4970 = 3*d, 1376 = q + 3*d + 394. Is q a multiple of 14? False Suppose -4*b = -j - 9*b + 26, -5*j - b + 34 = 0. Suppose j*a - 13 = 23. Is a even? True Suppose 215145 = 5*r + 5*l, 2*l - 129088 = -56*r + 53*r. Is 250 a factor of r? False Is 126 a factor of (1/(-5)*2604)/(217682/(-4185) + 52)? True Suppose b = 2 - 3. Is 14 a factor of 2017/9 + b/9? True Let w(g) be the first derivative of -20*g**2 + 43*g - 24. Is w(-4) a multiple of 17? False Suppose 6*u + 32 = 4*o + 4*u, -34 = -5*o + u. Let j be 9/o*3840/36. Suppose 0 = -2*g + 170 + j. Is g a multiple of 15? True Let i = 21662 - 13438. Does 257 divide i? True Suppose 3*a = 2*a. Suppose l = -d + 11, a*l + 4*d - 34 = -3*l. Suppose -4*k + 65 = -g, -3*g = k - 3 - l. Is k even? True Let n(i) = 22 + 325*i + 328*i - 501*i. Is 50 a factor of n(4)? False Suppose -2*v + 0*v + 127 = -5*x, x - 216 = -3*v. Suppose 0 = h - 2*g - 108, -12*h + 9*h + 324 = -4*g. Let o = h - v. Is 11 a factor of o? False Let m be 5/(-2)*64/(-40) - -1292. Suppose 2*t = -512 + m. Is 49 a factor of t? True Let s = 132 + -119. Suppose 22*i - s*i - 4338 = 0. Is i a multiple of 36? False Suppose -2*u + 6012 = 2*v, 9053 = 3*v + 7*u - 9*u. Is 12 a factor of v? False Let b be (0 + -1)*2*(2 + -11). Let a be 3/2 - (-4 + b/(-4)). Suppose -a*g + 4*g + 600 = 0. Is g a multiple of 25? True Let z(h) = -14*h**3 + 4*h**2 - 18*h + 53. Is z(-13) a multiple of 209? False Let l(k) = 4*k - 11. Let m be l(4). Suppose -5*r = -2*v + 3582, 0*v = -v - m*r + 1776. Suppose -v = -8*j - 418. Is 24 a factor of j? False Let u be 68/(-17)*1/((-2)/(-4)). Is 593 + -1 + u + 16 + -5 a multiple of 11? False Let b be 118/29 + (-6)/87. Suppose b*x + 3359 = 3*n, -x - 2005 - 236 = -2*n. Is 19 a factor of n? True Let g be (4/3)/(3/9). Suppose -u + g*u - 357 = 0. Let n = u + -28. Is 13 a factor of n? True Let k = 35013 - 19990. Is k a multiple of 181? True Let u(z) = -z**3 + 2*z**2 + 6*z - 10. Let c(d) = -d**3 + d**2 - 1. Let f(t) = -4*c(t) + u(t). Let r = -2539 - -2543. Does 12 divide f(r)? False Let d(s) = -s**2 + 20*s + 21. Let l be d(21). Suppose 28*b - 31*b + 2487 = l. Is 33 a factor of b? False Let j(b) be the second derivative of -7/2*b**3 - 6*b**2 + 20*b + 0. Does 9 divide j(-4)? True Let b(h) = -h**3 - 9*h**2 + 25*h + 31. Let x be b(-11). Does 100 divide ((-689)/x)/((-24)/16 - -2)? False Let y(a) = -10*a + 27. Let f be y(-6). Suppose 19 - 11 = 4*w. Is 9 a factor of 9/w*-12*(-232)/f? True Let z = -9 + 45. Suppose -13*a + 10*a = -z. Is 15 a factor of (-742)/(-5) + a/20? False Suppose -7*p = -0*p - 378. Let q be (1/2)/((-9)/p) + 6. Suppose -v = -5*w - 3*v + 686, w = -q*v + 132. Is 46 a factor of w? True Let s(i) = 2*i**2 + 2*i + 39. Let t be s(0). Let n = -41 + t. Is -2 + (2 - (-3 + 2 + n)) a multiple of 3? True Let g(n) = 104*n**2 - 61*n + 60. Let h be g(1). Let q be (-103 - 4)*(-1)/1. Suppose -5*f + h = -q. Does 10 divide f? False Suppose 733706 + 752022 =
{ "pile_set_name": "DM Mathematics" }
ment from {t: 2, a: 5, y: 3, p: 5}? 2/21 Calculate prob of picking 1 j and 2 h when three letters picked without replacement from {j: 1, h: 3}. 3/4 Calculate prob of picking 2 r when two letters picked without replacement from {t: 1, i: 1, l: 1, x: 1, r: 2, v: 1}. 1/21 Four letters picked without replacement from {p: 6, o: 3, f: 6, u: 3}. Give prob of picking 3 p and 1 u. 1/51 What is prob of picking 1 y, 2 j, and 1 l when four letters picked without replacement from ppjlppvplpjpppvlpyj? 3/1292 Two letters picked without replacement from {c: 1, i: 3, w: 2, v: 1, a: 6}. What is prob of picking 1 a and 1 w? 2/13 Three letters picked without replacement from rddrr. Give prob of picking 2 d and 1 r. 3/10 Calculate prob of picking 1 q and 2 r when three letters picked without replacement from {s: 3, r: 8, q: 5}. 1/4 Four letters picked without replacement from {w: 2, d: 1, j: 1, n: 2, t: 1, c: 2}. Give prob of picking 1 n, 1 c, 1 j, and 1 t. 2/63 Four letters picked without replacement from dfxpt. Give prob of picking 3 p and 1 f. 0 Calculate prob of picking 2 c, 1 a, and 1 o when four letters picked without replacement from {m: 1, c: 3, p: 2, o: 4, a: 1, w: 7}. 1/255 Calculate prob of picking 3 g when three letters picked without replacement from {c: 4, h: 2, s: 1, g: 3}. 1/120 Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {o: 2, v: 3, d: 2, r: 2, t: 1, z: 4}. 3/364 What is prob of picking 2 z when two letters picked without replacement from upzzzzdzppzz? 7/22 What is prob of picking 2 u and 2 f when four letters picked without replacement from {x: 1, f: 2, o: 2, u: 3, z: 1, m: 3}? 1/165 What is prob of picking 1 m, 1 p, and 2 c when four letters picked without replacement from zhfcczhhczfpzzfzzzm? 1/1292 Two letters picked without replacement from affafjjjjj. What is prob of picking 1 j and 1 a? 2/9 Calculate prob of picking 2 k when two letters picked without replacement from {j: 2, k: 11, y: 6}. 55/171 Calculate prob of picking 4 h when four letters picked without replacement from hhhh. 1 Four letters picked without replacement from egmgggmgveme. Give prob of picking 1 v, 2 g, and 1 e. 2/33 Three letters picked without replacement from wnqmqun. Give prob of picking 1 n, 1 q, and 1 u. 4/35 What is prob of picking 1 k and 1 r when two letters picked without replacement from rrkrrtrttrttttttkt? 4/51 What is prob of picking 1 h and 1 m when two letters picked without replacement from pphpeupmmppe? 1/33 Three letters picked without replacement from {k: 2, e: 1, c: 1}. Give prob of picking 1 e, 1 k, and 1 c. 1/2 What is prob of picking 2 z when two letters picked without replacement from zbzmtkzmzmtz? 5/33 Calculate prob of picking 1 s, 1 h, and 1 j when three letters picked without replacement from hjshhhhhllggg. 3/143 Calculate prob of picking 4 g when four letters picked without replacement from hednghgn. 0 Four letters picked without replacement from {b: 2, f: 1, t: 2, p: 8, g: 1, y: 1}. Give prob of picking 2 t, 1 p, and 1 f. 8/1365 Calculate prob of picking 3 t and 1 i when four letters picked without replacement from bbooattobaaabtooiaba. 1/4845 Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {o: 1, c: 3, b: 1}. 3/10 Two letters picked without replacement from {f: 7, m: 3}. Give prob of picking 2 f. 7/15 Four letters picked without replacement from cvvvcvcvcccc. What is prob of picking 3 c and 1 v? 35/99 Two letters picked without replacement from sssssss. Give prob of picking 2 s. 1 What is prob of picking 2 q and 2 m when four letters picked without replacement from mqqmmm? 2/5 Two letters picked without replacement from vvpphhuvpvupv. Give prob of picking 1 p and 1 u. 4/39 What is prob of picking 1 o and 1 x when two letters picked without replacement from opxsgig? 1/21 Calculate prob of picking 1 y, 1 s, 1 f, and 1 h when four letters picked without replacement from {h: 1, b: 1, m: 2, f: 1, y: 1, s: 2}. 1/35 Three letters picked without replacement from {f: 12, d: 1, w: 1}. Give prob of picking 2 f and 1 w. 33/182 Calculate prob of picking 3 u and 1 y when four letters picked without replacement from uyyyyruyr. 0 Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, b: 4, n: 4, j: 1, w: 1, m: 1}. 2/33 Two letters picked without replacement from {i: 2, e: 2, t: 1, d: 4, l: 4, o: 1}. Give prob of picking 1 i and 1 o. 2/91 Calculate prob of picking 3 h when three letters picked without replacement from {h: 14, w: 2, o: 2, c: 1}. 364/969 Three letters picked without replacement from eeeesseeeeseeseess. What is prob of picking 2 s and 1 e? 15/68 Three letters picked without replacement from lgcttccc. Give prob of picking 2 c and 1 t. 3/14 Three letters picked without replacement from {m: 2, k: 1, i: 1, q: 1}. What is prob of picking 1 q and 2 i? 0 Four letters picked without replacement from wwwwwwrr. Give prob of picking 2 r and 2 w. 3/14 What is prob of picking 1 a and 2 q when three letters picked without replacement from {a: 2, t: 2, e: 5, m: 3, q: 3}? 6/455 Three letters picked without replacement from jsuujjsdujusujuuss. What is prob of picking 1 u and 2 j? 35/408 Two letters picked without replacement from sljswsmswsbsjsmsjsls. Give prob of picking 2 l. 1/190 Calculate prob of picking 1 h and 2 c when three letters picked without replacement from hchxhffhchfcf. 15/286 Two letters picked without replacement from {p: 8, w: 2, n: 1, g: 4}. Give prob of picking 1 p and 1 w. 16/105 Four letters picked without replacement from {v: 2, q: 2, g: 1}. Give prob of picking 2 v and 2 q. 1/5 Three letters picked without replacement from {x: 2, g: 6, r: 2, t: 1, n: 7}. Give prob of picking 2 x and 1 g. 1/136 Three letters picked without replacement from {d: 3, a: 1, x: 2, p: 6, q: 1, n: 2}. Give prob of picking 2 p and 1 q. 3/91 Three letters picked without replacement from {p: 1, u: 6, v: 1, k: 4, t: 4}. What is prob of picking 1 k, 1 t, and 1 p? 1/35 Three letters picked without replacement from mbwcwwwbwccwwcwwbwb. Give prob of picking 2 c and 1 w. 20/323 Two letters picked without replacement from {q: 7, k: 2, z: 3, e: 1, v: 7}. Give prob of picking 2 z. 3/190 Calculate prob of picking 1 d and 3 l when four letters picked without replacement from {d: 1, l: 11}. 1/3 What is prob of picking 2 d, 1 r, and 1 l when four letters picked without replacement from wflwllwlfdwlrwdwwf? 1/612 Three letters picked without replacement from hthhotoytho. What is prob of picking 2 t and 1 y? 1/55 What is prob of picking 1 i and 1 w when two letters picked without replacement from pigggywwwwgiiwwwi? 7/34 Four letters picked without replacement from {l: 6, m: 13}. What is prob of picking 4 l? 5/1292 Two letters picked without replacement from mxddmxdmdduoexoxeood. What is prob of picking 1 e and 1 u? 1/95 Two letters picked without replacement from ggmggmmmmmm. Give prob of picking 2 g. 6/55 Four letters picked without replacement from iiiiiii. What is prob of picking 4 i? 1 What is prob of picking 4 i when four letters picked without replacement from iixiiiixix? 1/6 What is prob of picking 1 k, 1 b, and 1 l when three letters picked without replacement from {o: 4, l: 2, b: 2, k: 1}? 1/21 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 4, m: 1, q: 2, j: 1, k: 5, h: 2}. 4/105 What is prob of picking 1 l and 2 q when three letters picked without replacement from qwlqw? 1/10 Two letters picked without replacement from {y: 3, z: 6, c: 3, v: 2, p: 3}. What is prob of picking 2 v? 1/136 Calculate prob of picking 3 o when three letters picked without replacement from {o: 11, g: 1}. 3/4 Three letters picked without replacement from {m: 9, s: 2}. Give prob of picking 2 m and 1 s. 24/55 Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 1, f: 4, v: 3, g: 4, o: 1}. 1/26 What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, g: 1, c: 1, y: 6, b: 3, r: 5}? 3/68 Two letters picked without replacement from {c: 3, i: 12}. What is prob of picking 1 i and 1 c? 12/35 What is prob of picking 2 o when two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
s l(v(t))? -26*t**2 - 1 Let y(n) = -36*n. Suppose -3*z + 61 = -2*c, 2*z - 21 = -c + 15. Let q(w) = 15*w - z*w + w. Give q(y(u)). 108*u Let c(z) be the first derivative of 0*z - 1/2*z**2 - 56. Let b(k) = -3*k + 3. Give c(b(w)). 3*w - 3 Let v(s) = 9*s**2. Let w(x) be the third derivative of 0*x - 3/8*x**4 - 34*x**2 - 2 + 0*x**3. Determine w(v(l)). -81*l**2 Let a(l) = -2*l**3 - 2*l**2 + 4*l + 5. Let i be a(-4). Let k(j) = -21*j + i*j + 68*j - 19*j. Let b(v) = -2*v. Calculate b(k(z)). -226*z Let k(r) be the third derivative of 0*r + 0*r**3 + 0 - 1/24*r**4 + 2*r**2. Let g(l) = -16*l**2 - 2 + 3 - 1. Calculate g(k(d)). -16*d**2 Let s(c) = -40634*c. Let g(u) = -2*u**2 + 1749. Give s(g(o)). 81268*o**2 - 71068866 Let k(d) = -61867*d**2 - d. Let a(b) = -1588*b. Determine k(a(z)). -156012736048*z**2 + 1588*z Suppose 5 = 4*p + h, -h - 6 = h. Let d(q) = p + 0 - 2 + 2*q. Let z(g) be the third derivative of -g**5/20 - 192*g**2 + 1. Determine d(z(t)). -6*t**2 Let q(u) = u**2. Let j = 62005/4044 + 1/1348. Let i(t) be the first derivative of -j*t**3 + 8 + 0*t**2 + 0*t. Give q(i(o)). 2116*o**4 Let m(z) = 19605*z**2 - 2*z. Let x(w) = 307*w**2. Give m(x(i)). 1847751645*i**4 - 614*i**2 Let u(o) = -377933*o. Let x(p) = -13*p**2. Calculate x(u(g)). -1856833582357*g**2 Let g(v) = -32*v. Let h(k) = 3*k**2 + 54*k + 99. Let t be h(-2). Let b(u) be the third derivative of 0*u**t + 0*u + 0 + 1/24*u**4 + 14*u**2. Calculate b(g(d)). -32*d Let a(o) be the second derivative of 0 + 0*o**2 - 1/3*o**3 - 82*o. Let w(s) = 144*s**2. Determine a(w(g)). -288*g**2 Let k(p) = 16094004*p**2. Let d(x) = 4*x. Give d(k(t)). 64376016*t**2 Let o(h) be the third derivative of h**4/24 + 156762*h**2. Let n(k) be the first derivative of 6*k**2 - 3*k - 1. Determine o(n(u)). 12*u - 3 Let d(r) = -r**2. Let w(g) = g + 4. Let k be (((-20)/(-8))/(-1))/(2/(-8)). Suppose t - k + 6 = 0. Let q(y) = 1. Let h(j) = t*q(j) - w(j). Determine d(h(a)). -a**2 Let k(x) = 66*x**2. Let v(u) = 6*u + 6. Let t(z) = -z - 1. Let m(q) = 18*q + 17. Let s(n) = m(n) + t(n). Let r(p) = 3*s(p) - 8*v(p). What is k(r(h))? 594*h**2 Let j(f) = 16*f**2. Let i(l) be the second derivative of -13*l**4/12 + 11*l**2/2 - 3*l - 956. Give j(i(h)). 2704*h**4 - 4576*h**2 + 1936 Let k(g) = -12*g**2 - 15*g - 35. Let x(o) = 5*o**2 + 6*o + 14. Let f(z) = -2*k(z) - 5*x(z). Let d(p) = p**2 - 1 + 1. Calculate f(d(n)). -n**4 Suppose -871*k = -842*k. Let h(i) be the second derivative of 0 + 1/3*i**3 + k*i**2 - i. Let a(j) = 10*j. What is h(a(o))? 20*o Let x(n) = -78*n + 24. Let v(f) = -12*f + 4. Let k(u) = -12*v(u) + 2*x(u). Let w(t) be the second derivative of 7*t**4/12 + 3*t. What is k(w(h))? -84*h**2 Suppose 4*j = 4941 + 1903. Let l(v) = 1711 - j - 78*v. Let z(k) = 3*k. Calculate l(z(b)). -234*b Suppose 0 = -r + 5, 4*r - 4 = 2*k + 14. Let t be (2 + k + 1)/2. Let d(u) = -645 + 2*u**t + 645. Let j(b) = 3*b. Determine j(d(a)). 6*a**2 Let y(m) be the first derivative of 198*m**2 - 3870. Let o(a) = 7*a**2. Determine o(y(z)). 1097712*z**2 Let x(p) = 3*p**2. Suppose 27*v + 11331 = 32472. Suppose 0 = -2*y - 3*i + 6*i + 1581, 0 = -y - 4*i + 763. Let f(w) = 4*w**2 + v - y. Calculate x(f(o)). 48*o**4 Let x(m) = -139*m**2. Let s(l) = 35*l + 30. Let b(c) = 24*c + 21. Let r(u) = 10*b(u) - 7*s(u). Determine x(r(n)). -3475*n**2 Let q(v) be the second derivative of -v**4/6 - 1038*v. Let t = -7 + 6. Let g(c) = 1. Let w(j) = 10*j + 20. Let a(o) = t*w(o) + 20*g(o). Determine q(a(z)). -200*z**2 Let l(n) = 17*n**2. Let m(h) be the second derivative of h**4/12 + 30*h. Calculate m(l(f)). 289*f**4 Let l(m) = -307941*m. Let c(u) = u**2 + 25. Determine l(c(d)). -307941*d**2 - 7698525 Suppose 0 = -2*s - 3*q - 2, -4*s + 4*q + 16 = 0. Let o(h) be the first derivative of 0*h + 23 + 3/2*h**s. Let j(a) = -3*a. Give j(o(m)). -9*m Let i(k) = 19688 + 565*k**2 - 9844 - 9844. Let f(s) = s. What is f(i(u))? 565*u**2 Let l(u) = 3*u**2. Let j(a) be the third derivative of -49*a**4/8 + 69*a**2. Give l(j(q)). 64827*q**2 Let v(z) = -127*z**2. Let r(k) = -1552973*k. Determine v(r(a)). -306289092618583*a**2 Let t(d) = -34*d + 9. Let s(l) = 15*l - 4. Suppose -28*p = 113 + 139. Let r(j) = p*s(j) - 4*t(j). Let c(a) = 2*a**2 + 94*a. Give c(r(m)). 2*m**2 + 94*m Let l(m) = -5*m. Let z(c) = -44*c - 100*c + 734*c**2 + 144*c. Calculate z(l(t)). 18350*t**2 Let u(d) = -d**2 - 13. Let o(x) be the first derivative of 1/2*x**2 + 19 + 0*x. Give o(u(f)). -f**2 - 13 Let z(v) = -307*v + 12. Let x(p) = -266*p + 25. What is x(z(b))? 81662*b - 3167 Let n(l) = -239*l**2. Let z(j) = -1123099*j. Calculate z(n(d)). 268420661*d**2 Let k(s) = 85*s. Let x(i) = 194681*i. Calculate k(x(d)). 16547885*d Let y(x) = 32*x**2. Let g(v) = -13 + 11320*v + 13 + 11336*v - 22639*v. Calculate y(g(s)). 9248*s**2 Let m(i) = -i. Let y(r) be the second derivative of -3*r**5/20 - 35*r**3/3 + 39*r. Let l(d) be the second derivative of y(d). Give l(m(v)). 18*v Let y(l) = -l. Let g(j) = -12*j - 16*j - 462 + 36*j - 10*j - j. Give y(g(d)). 3*d + 462 Let u(x) be the second derivative of -2*x**3/3 - 115*x + 1. Let z(v) = 6*v**2 + 221. Determine z(u(o)). 96*o**2 + 221 Let q(u) = 3*u + 8*u + 29*u. Let r(m) be the third derivative of 0*m + 0*m**3 - 2 + 1/24*m**4 - 16*m**2. Determine r(q(i)). 40*i Let u(k) = -50*k**2 + 16*k**2 + 12*k**2 + 12*k**2 + 12*k**2. Let o(r) = -2*r - 712. Determine u(o(c)). 8*c**2 + 5696*c + 1013888 Let f(d) = 13*d. Suppose 32 = -6*l + 44. Let u(i) = 15*i**2 - 4*i**2 - 9*i**l - 3*i**2. Determine f(u(q)). -13*q**2 Let a(z) = -2*z**2 + 1441015*z - 1. Let o(n) = -n. What is a(o(y))? -2*y**2 - 1441015*y - 1 Let r(w) = -3*w. Let b(j) be the third derivative of -j**6/48 + 5*j**4/24 + 5*j**3/3 - 83*j**2. Let d(c) be the second derivative of b(c). Give r(d(a)). 45*a Let v(k) = k - 5*k + 6*k - 12*k + 6*k. Let h(i) = -16*i**2 + 2*i. Determine h(v(m)). -256*m**2 - 8*m Let k(y) = -14*y. Let p(b) be the third derivative of 539*b**5/30 + b**2 + 145. Calculate k(p(d)). -15092*d**2 Let c(r) = 20711*r**2. Let p(y) = 3*y**2 - 5*y - 5. Let k(d) = 2*d**2 - 3*d - 3. Let n(b) = -10*k(b) + 6*p(b). What is n(c(x))? -857891042*x**4 Let o(y) = 91*y - 11. Let b(q) = -37*q + 4. Let s(h) = -5*b(h) - 2*o(h). Let r(k) = 267*k. Calculate s(r(w)). 801*w + 2 Let a be 1/1 - (2 + -3). Let n be (-6)/11 + ((-196)/(-11))/7. Let k(j) = 8*j**a - 2*j**2 - n*j**2 + 0*j**2. Let c(s) = -24*s**2. Calculate c(k(b)). -384*b**4 Let a(v) = -7629 - 2*v + 7629. Let k(m) = 218*m**2. Calculate k(a(j)). 872*j**2 Let h(s) = -6 + 5 - 44*s + 2. Let z(w) = -2351 + 25760*w - 25763*w + 2351. What is z(h(u))? 132*u - 3 Let k(f) = -12*f. Let t(v) = -232901*v. What is k(t(x))? 2794812*x Let p(q) = 37*q. Let l(b) be the third derivative of b**4/6 + 1505*b**2. Determine l(p(t)). 148*t Let f be (7/(-2))/((-30)/60). Let t(h) = -8*h + 2*h + f*h + h. Let w(z) = 293*z. Calculate t(w(x)). 586*x Let y(o) = -68*o - 81. Let t(c) = 205*c + 270. Let b(s) = -3*t(s) - 10*y(s). Let k(n) be the second derivative of -5*n**3/6 + 2*n. What is k(b(w))? -325*w Let i(v) be the third derivative of 19*v**4/12 - v**3/6 - 37*v**2 - 152. Let x(t) be the third derivative of -t**5/15 - 3*t**2. Calculate x(i(h)). -5776*h**2 + 304*h - 4 Let j(c) = c + 34 + 3*c + 54 - 88. Let z(h) = -22*h**2 + 2*h - 24. What is z(j(f))? -352*f**2 + 8*f - 24 Suppose 13*s + 1 = 27. Let j(f) = 35 - 35 - s*f - 2*f. Let y(l) = l + l - 3*l + 4*l. Give j(y(k)). -12*k Let a(g) = 3*g**2 + 4. Let q = -21 + 31. Suppose 0 = 16*y - 11*y - q. Let u(i) = 2*i**2 - 6*i**2 + 5*i**2 + i**y. Give a(u(x)). 12*x**4 + 4 Let o(q) = -9632812*q**2. Let c(t) = -8*t. What is c(o(k))? 77062496*k**2 Let a(m) = -157*m**2. Let y(j) = -6074*j**2 - 6076*j**2 - 6074*j**2 + 18226*j**2. Determine a(y(g)). -628*g**4 Let f(c) = 209*c + 10. Let g(l) = 41*l + 2. Let h(a) = -f(a) + 5*g(a). Let s(k) = -8*k**2 - 2*k + 15. Give s(h(x)). -128*x**2 + 8*x + 15 Let w(d) = 3*d - 1. Let p(g) = -4*g + 1. Let h(j) = p(j) + w(j). Let o(v) = 76*v**2. What is o(h(b))? 76*b**2 Let p(c) = 6*c. Let h(i) be the first derivative of -13/2*i**2 - 273 + 0*i. Calculate h(p(z)). -78*z Let b(q) = -3558180*q. Let h(j) = 2*j**2. Determine h(b(x)). 25321289824800*x**2 Let t(z) = 8*z**2. Let d = -273 - -354. Let p(q) = -79*q + 174*q - d*q. Calculate p(t(m)). 112*m**2 Let i(b) = -5123*b + 93. Let s(x) =
{ "pile_set_name": "DM Mathematics" }
**5 + 1/2*l**7 + 2/5*l**6. Solve t(p) = 0 for p. -2/7, 0 Let s(i) = 2*i**3 + 3*i**2 + i + 4. Let y be s(-3). Let b = 28 + y. Factor 0 - z**4 + 27*z**b + 8*z**4 - 13*z + 3 - 1 - 23*z**3. (z - 1)**3*(7*z - 2) Let o be 2/(-3)*291/3395*-35. Factor 0*v - 245/3 + 5/3*v**o. 5*(v - 7)*(v + 7)/3 Let v(d) be the third derivative of d**8/16800 + d**7/1260 - d**6/1800 - d**5/60 + 49*d**4/8 + 278*d**2. Let p(i) be the second derivative of v(i). Factor p(u). 2*(u - 1)*(u + 1)*(u + 5)/5 Suppose 142*y - 126*y + 96 = 0. Let b(m) = -15*m - 90. Let p be b(y). Determine d so that 0*d**3 + p*d**2 - 8/3*d**4 + 0 - 2/3*d**5 + 0*d = 0. -4, 0 Find p, given that 1472*p + 4/7*p**3 - 42320/7 - 388/7*p**2 = 0. 5, 46 Let v be 18620/(-36960) + 6/11. Let m(t) be the third derivative of 0*t + v*t**4 + 2/105*t**7 + 0*t**3 - 1/120*t**6 - 1/15*t**5 + 6*t**2 + 0. Factor m(p). p*(p - 1)*(p + 1)*(4*p - 1) Let m(d) = -39*d - 240. Let n(c) = -43*c - 239. Let q(k) = 6*m(k) - 5*n(k). Let x be q(-13). What is w in -2/3*w**x + 0 + 2/3*w = 0? 0, 1 Let n be ((-564)/24*(-10)/(-20) + 14)/(30/8). Solve 33/5*h**3 - 6*h - 24/5 - n*h**5 + 21/5*h**2 + 3/5*h**4 = 0 for h. -2, -1, 1, 4 Let z(w) be the second derivative of w**6/135 + 43*w**5/90 + 13*w**4/3 + 452*w**3/27 + 296*w**2/9 - 79*w - 3. Factor z(x). 2*(x + 2)**3*(x + 37)/9 Let o = 840 + -468. Suppose -o*t**2 + 2*t**4 + 306*t**3 + 120*t - 7*t**4 - 9*t**4 - 13*t**4 = 0. Calculate t. 0, 2/3, 10 Let i = 89 + -47. Suppose i = 4*y + 2*r, 3*y + 0*r - 45 = 3*r. Solve -33*o**4 + 50*o**5 + 16*o**3 + 15*o - y*o**4 - 39*o**3 + 55*o**2 - 42*o**3 - 10 = 0. -1, -1/2, 2/5, 1 Let f = 17803 - 142417/8. Let w(k) be the second derivative of 0 - 1/4*k**3 - 31*k + 0*k**2 - 5/8*k**6 - f*k**4 - 39/32*k**5. Find z, given that w(z) = 0. -1/2, -2/5, 0 Let i = 167315 - 167315. Solve 13/2*t**4 + 0*t + i - 5/2*t**5 - 2*t**2 - 2*t**3 = 0. -2/5, 0, 1, 2 Let b(f) be the first derivative of f**6/150 + 3*f**5/100 + f**4/60 - f**3/10 - f**2/5 + 104*f - 141. Let v(t) be the first derivative of b(t). Factor v(w). (w - 1)*(w + 1)**2*(w + 2)/5 Let j(h) be the first derivative of h**6/30 + h**5/6 - 2*h**4 + 3*h**3 - h**2 - 55. Let o(r) be the third derivative of j(r). Factor o(z). 4*(z + 3)*(3*z - 4) Suppose -12*z + 18*z = 9*z - 6. Let p(d) be the second derivative of 0 - 10*d + 2/3*d**3 - 3*d**z - 1/18*d**4. Let p(y) = 0. Calculate y. 3 Let u = -315 - -316. Let z be 5 - (-3 + (7 - u)). Factor -1/2*m**z - 1/2*m + 1. -(m - 1)*(m + 2)/2 Factor 2/9*y**2 + 256/3 + 80/9*y. 2*(y + 16)*(y + 24)/9 Factor 56*j**3 + 246106*j**5 + 64*j**4 - 246105*j**5 + 69*j**3 + 62*j**2. j**2*(j + 1)**2*(j + 62) Suppose -416*i = -284*i. Let o(m) be the first derivative of -8 - 16/15*m**3 - 1/10*m**4 + 0*m + i*m**2. Factor o(g). -2*g**2*(g + 8)/5 Let k(x) be the first derivative of x**3/3 + 13*x**2/2 - 6*x - 51. Let q(f) = -f**2 - 14*f + 5. Let t(g) = 5*k(g) + 4*q(g). Factor t(i). (i - 1)*(i + 10) Let k be 3 - 7/(-12 - -5). Find v such that -6*v**k + 26*v**5 - v**3 + 34*v**2 + 4*v**5 - 12*v - 29*v**5 - 40 = 0. -2, -1, 2, 5 Let i be 228/266*28/6. What is d in -i*d + 73*d - 29*d**2 + 26*d**2 = 0? 0, 23 Let h(t) = -10*t - 106. Let r be h(-13). Let j(d) be the second derivative of 1/42*d**4 + 0*d**2 + 0 + r*d + 2/21*d**3. Factor j(c). 2*c*(c + 2)/7 Find y such that -204*y**4 + 4/3*y**5 - 23104/3*y**2 + 0 + 7904*y**3 + 0*y = 0. 0, 1, 76 Let v = 321 - -82. Let s = 6047/15 - v. Determine c, given that -4/15 - 2/5*c - s*c**2 = 0. -2, -1 Factor -144 - 65*v**2 - 255*v**3 + 491*v**3 - 274*v**3 - v**4 + 248*v. -(v - 1)**2*(v + 4)*(v + 36) Let m = -199 + 1831. Suppose 4630 = 355*x + 1292*x - 3605. Solve 256 - m*l - 1873/2*l**3 - 9/2*l**x + 2892*l**2 + 111*l**4 = 0 for l. 1/3, 8 Let f be 9 + (-826)/42 + 11. Let s(d) be the first derivative of 8 + 0*d + f*d**3 + 1/2*d**2. Factor s(j). j*(j + 1) What is j in -38*j - 1/2*j**3 + 0 + 77/2*j**2 = 0? 0, 1, 76 Suppose 58 = -6*d + 82. Let o(l) be the second derivative of 36*l**2 - 40/3*l**d - 34*l**3 - 7/5*l**5 + 0 - 4*l. Suppose o(h) = 0. What is h? -3, 2/7 Suppose 361 = 830*x - 1299. Find z such that 17/4*z**x - 5/4*z**4 - 9/4*z**3 + 2*z + 1/4*z**5 - 3 = 0. -2, -1, 1, 6 Suppose 245 = z + h, -88348*z = -88353*z + 3*h + 1185. Let z*u + 12*u**2 + 1600 + 1/5*u**3 = 0. Calculate u. -20 Let i(d) be the second derivative of -16*d + 1/18*d**4 - 1 + 1/9*d**2 - 4/27*d**3. Determine v so that i(v) = 0. 1/3, 1 Let y = -809 - -812. Suppose 350*h**2 + 556*h**y + 182*h**5 - 88*h**5 - 108*h**4 - 242 - 561*h - 89*h**5 = 0. What is h? -1, -2/5, 1, 11 Factor 676/7*h - 674/7 - 2/7*h**2. -2*(h - 337)*(h - 1)/7 Let w = -2129 + 3204. Let p = w - 5374/5. Factor -p + 9/10*c - 7/10*c**2. -(c - 1)*(7*c - 2)/10 Let k(c) be the first derivative of -c**4/27 + 14*c**3/9 - 117*c - 75. Let y(r) be the first derivative of k(r). Solve y(j) = 0 for j. 0, 21 Let r(b) be the second derivative of 2*b**6/15 - 2*b**5/5 - 11*b**4/3 + 8*b**3 - 2972*b. Factor r(y). 4*y*(y - 4)*(y - 1)*(y + 3) Factor 2/15*n**3 + 4/15*n + 0 - 2/5*n**2. 2*n*(n - 2)*(n - 1)/15 Let j(q) be the second derivative of 3*q**5/20 + 83*q**4/3 + 181*q**3/2 - 109*q**2 - 279*q. Factor j(m). (m + 2)*(m + 109)*(3*m - 1) Suppose -203 + 644 + 9*n - 12*n**2 - 471*n - 2*n**4 + 7*n**4 - 2*n**4 + 30*n**3 = 0. Calculate n. -7, 1, 3 Let p(m) be the second derivative of -6*m + 43*m**4 + 2048*m**2 - 1408*m**3 - 11 - 2/5*m**5. Factor p(u). -4*(u - 32)**2*(2*u - 1) Suppose -5*r - 4*n + 24 + 31 = 0, -3*r = -14*n + 131. Let q be (0/1)/(2 + -3). Factor 1/3*x**r + q + 2/3*x + x**2. x*(x + 1)*(x + 2)/3 Let i(p) be the third derivative of -11*p**2 - 5/3*p**4 - 15/2*p**3 + 1/12*p**5 + 0*p - 5. What is w in i(w) = 0? -1, 9 Find x such that 1/4*x**4 - 43/4*x**3 + 123/4*x + 79/4*x**2 + 0 = 0. -1, 0, 3, 41 Let j(i) = 5*i**2 + 46*i + 192. Let c(g) = 183*g + 21*g**2 + 59 + 262 + 447. Let v be (-6)/(-33) + (-101)/11. Let w(l) = v*j(l) + 2*c(l). Factor w(h). -3*(h + 8)**2 Let x(v) = 2*v**2 + 3764*v + 48599. Let i be x(-13). Factor 0 + 1/5*h**i - 2/5*h + 3/5*h**2 - 3/5*h**4 + 1/5*h**3. h*(h - 2)*(h - 1)**2*(h + 1)/5 Let p = -356 - -291. Let q = 67 + p. Factor 4/17*b**q + 0 + 6/17*b - 2/17*b**3. -2*b*(b - 3)*(b + 1)/17 Suppose 3*u = -t + 222 - 226, 0 = t + u - 2. Factor -2/9*p**t + 0 + 4/9*p**4 + 8/3*p**3 + 28/9*p**2 + 10/9*p. -2*p*(p - 5)*(p + 1)**3/9 Let u(l) be the first derivative of -l**5/25 + 11*l**4/10 + 47*l**3/15 + 12*l**2/5 - 1245. Find o such that u(o) = 0. -1, 0, 24 Let q(j) be the third derivative of -j**2 - 1/19*j**4 + 3/19*j**3 + 0*j - 24 + 1/1995*j**7 + 1/285*j**6 - 1/285*j**5. Find a such that q(a) = 0. -3, 1 Suppose -3*x**2 - 1702 + 3724 - 1837 + 615*x - 2003 = 0. What is x? 3, 202 Find x, given that -1061/2*x + 5/6*x**2 - 637/3 = 0. -2/5, 637 Let s(a) be the second derivative of 3*a**5/20 + 367*a**4/4 + 728*a**3 + 2178*a**2 + 3353*a. Factor s(u). 3*(u + 2)**2*(u + 363) Let -208/7*o**3 + 2/7*o**4 + 0 - 1320/7*o**2 + 0*o = 0. What is o? -6, 0, 110 Factor -3438*c + 696853 + 6426837*c**2 - 6426836*c**2 + 2258108. (c - 1719)**2 Let v be (-480)/810*-63 - 37. Factor 1/3*s**4 - v*s + 1/3*s**3 + 2/3 - s**2. (s - 1)**2*(s + 1)*(s + 2)/3 Let n(i) = 3*i**2 + 894*i - 193598. Let t(z) = 17*z**2 + 4477*z - 967989. Let d(r) = 11*n(r) - 2*t(r). Factor d(x). -(x - 440)**2 Let d(b) be the third derivative of 5*b**2 + 6 + 5/24*b**4 + 1/12*b**5 + 0*b - 1/24*b**6 - 5/6*b**3. Suppose d(t) = 0. Calculate t. -1, 1 Let m(j) = 6*j + 4 - 21 - j - 8. Let o be m(8). Suppose -3*h**2 - 10*h**3 + 3*h**4 + 22*h**3 + o*h**2 = 0. Calculate h. -2, 0 Let p = -2331349/39 + 59772. Let o = p + 19/3. Factor 16/13*s**2 + 0 + o*s**4 - 10/13*s**3 - 8/13*s. 2*s*(s - 2)**2*(s - 1)/13 Let b(w) be the third derivative of -65*w**2 + 0 - 13/100*w**5 - w**4 + 0*w - 18/5*w**3 - 1/200*w**6. Determine k, given that b(k) = 0. -9, -2 Let o be 3/9 + 50/(-177). Let m = o - -457/295. Suppose 56/5*w**4 + 0 - m*w**2 + 8/5*w - 22*w**3 = 0. Calculate w. -2/7, 0, 1/4, 2 Let u be ((-78)/(-10))/(((-36)/15)/((-5640)/3525)). Let u + 9/5*w**3 + 228/5*w**2 - 31*w = 0. What is w? -26, 1/3 Let g(s) = 2*s**4 - 2*s**3 + 3*s - 1. Let u(z) = -5*z**4 + 253*z**3 + 735*z**2 + 724*z + 247. Let r(x) = -3*g(x) - u(x). Determine k so that r(k) = 0. -244, -1 Solve 0 + 9/4*v - 69/8*v**2 + 15/2*v**3 = 0 for v. 0, 2/5, 3/4 Let s be 2/(-8)*(-33)/(
{ "pile_set_name": "DM Mathematics" }
*i**3 - 3*i**2 - i + 5. Let o(r) = 2*r**3 - 2*r**2 + 3. Calculate c*o(a) + s*u(a). a**3 - a**2 + 3*a Let r(h) = -h - 1. Let b(q) = -2*q + 1. Let g(f) = f + 5. Let m(a) = -2*b(a) + g(a). Let d(z) = -10*z - 3. Let v(i) = 2*d(i) + 3*m(i). Give 3*r(w) + v(w). -8*w Let t(k) = 58*k - 5. Let p(d) = 23 - 607*d + 15 - 60*d + 29 - 9. Calculate 5*p(x) + 58*t(x). 29*x Let w = -306 + 315. Let j(b) = 2*b - 8. Let o be j(3). Let z(d) = -5*d + 0*d - 2 + 0 - 2. Let r(u) = -u - 1. Calculate o*z(a) + w*r(a). a - 1 Let v(h) = 136 + 122 - 269 + 52*h + 41*h. Let r(w) = 47*w - 6. Give 11*r(k) - 6*v(k). -41*k Suppose 26*g - 839 = -761. Let v(p) = p + 1. Let s(i) = i - 2. Give g*v(x) - s(x). 2*x + 5 Let y(k) = -k**2 - 1. Let w(l) be the first derivative of -2*l**3 - l**2 + 4*l - 159. What is w(o) + 4*y(o)? -10*o**2 - 2*o Suppose 2 = -h + 4. Let a(s) = -10*s - 2. Suppose 77*j - 2*l = 70*j + 15, -4*j = -l - 7. Let n(b) = -1. Calculate h*n(d) + j*a(d). 10*d Let f(z) = 6*z**3 - 2*z**2 + 57*z - 1. Let t(n) = -n**2 + 2*n - 1. Give -f(x) + t(x). -6*x**3 + x**2 - 55*x Let x(f) = -9*f**2 - 2*f. Let c(p) = -55*p**2 + 50*p - 1. Give c(o) - 6*x(o). -o**2 + 62*o - 1 Let l(q) = -2711*q**3 - 2*q**2 + 2*q + 4. Let t(c) = -5424*c**3 - 5*c**2 + 5*c + 9. Determine 5*l(d) - 2*t(d). -2707*d**3 + 2 Let v(n) = 23094*n + 4. Let s(i) = 166669397*i + 28870. Give -2*s(b) + 14435*v(b). 23096*b Let x(s) = -3*s**3 - 14*s**2 + 359. Let u(i) = -4*i**3 - 17*i**2 + 359. What is -4*u(y) + 5*x(y)? y**3 - 2*y**2 + 359 Let l be (8/(-10))/((-1)/(-5)). Let n(i) = 2131. Let y(c) = -8525. Let t(z) = -4*n(z) - y(z). Let u(b) = 2*b + 4. Calculate l*t(p) + u(p). 2*p Suppose 2*v - 1029 = -77. Let n(j) = 235 + 243 - 4*j - v. Let f(b) = -1. Calculate 4*f(r) + n(r). -4*r - 2 Let c(b) = -17*b + 23840. Let u(n) = -3*n + 4765. Determine 2*c(z) - 11*u(z). -z - 4735 Let x(b) = -88*b + 6. Let o(y) = -163*y + 11. Calculate -6*o(p) + 11*x(p). 10*p Let a(z) = 18*z**2 - 7*z - 11. Let i(o) = -22*o**2 + 8*o + 12. Let d(h) = -5*a(h) - 4*i(h). Let n(v) = -4*v**2 + 5*v + 13. Calculate 5*d(k) - 3*n(k). 2*k**2 - 4 Let o(s) = -6*s**2 - 18. Let h(x) = -55. Let g(r) = -606. Let j(t) = -g(t) + 11*h(t). Calculate 72*j(a) + 4*o(a). -24*a**2 Let i(x) = -44*x**2 - 14*x. Let d(l) = 38*l**2 + 15*l + 1. Determine 7*d(w) + 6*i(w). 2*w**2 + 21*w + 7 Let b(v) = 504*v**3 + 49*v**2 - 49*v. Let f(l) = -21*l**3 - 2*l**2 + 2*l. Let a = 3766 - 3764. Give a*b(n) + 49*f(n). -21*n**3 Suppose 0 = -2*h - 6, h - 3*h + 9009 = 5*r. Let b(a) = 906 - r + 896. Let n(j) = j + 1. Calculate -5*b(z) - 6*n(z). -6*z - 1 Suppose 3*d = -o + 209, 3*o - 27 = -d + 40. Let s(c) = -9*c**3 - 66*c - 4*c**3 - 26*c - c**3 + 22*c - d*c**2. Let y(x) = x**2 + x. What is -s(z) - 70*y(z)? 14*z**3 Let r(i) = -6*i**2 - 23*i + 8067. Let x(b) = 2*b**2 + 6*b - 1. Determine -r(c) - 4*x(c). -2*c**2 - c - 8063 Let l(q) = -2*q**2 - 28*q - 1. Let i(d) = 4*d**2 + 55*d + 3. Let u be -9 - (28/49 - 612/42). Give u*l(j) + 2*i(j). -2*j**2 - 30*j + 1 Let q(t) = -12*t**2 - 4*t - 3. Let k(f) = 4*f**2 + 1 - 130*f - f**2 + 131*f. Calculate 9*k(g) + 2*q(g). 3*g**2 + g + 3 Let d(x) = 5*x**2 - 12*x + 13. Let v = -3203 - -3194. Let r(o) = -o**2 + 3*o - 3. Determine v*r(c) - 2*d(c). -c**2 - 3*c + 1 Let q(y) = -50*y**2 - 10*y + 11. Let k(z) = -52*z**2 - 9*z + 8. Give 3*k(o) - 2*q(o). -56*o**2 - 7*o + 2 Let u be 4*(4 + -6)*(-6)/12. Let f be u/(20/(-15))*(-4)/12. Let g(b) = 1. Let c(j) be the first derivative of j**3/3 - j + 1. What is f*c(i) + 3*g(i)? i**2 + 2 Let b(q) = q. Let d(o) = -170*o - 3*o**2 - 640477 + o**2 + 182*o + 640479. Calculate -2*b(j) + d(j). -2*j**2 + 10*j + 2 Let o(s) = 22*s. Let d(j) = 96*j + 19. Give 2*d(m) - 8*o(m). 16*m + 38 Let z(n) = -4*n**2 + 4*n. Let j(w) = w**3 - w**2 + w. Let h(a) = 4*a**2 - 134*a - 56. Let q be h(34). Determine q*j(l) - 3*z(l). 12*l**3 Let h(c) = 250*c - 3. Let s(l) = -488*l + 11. Determine 5*h(a) + 2*s(a). 274*a + 7 Let b(l) = -9*l**3 - 5*l**2 + 13*l - 1. Let y(j) = -4*j**3 - 2*j**2 + 6*j - 1. Suppose 5 = 5*i, 518*v - 5*i = 517*v - 10. What is v*y(o) + 2*b(o)? 2*o**3 - 4*o + 3 Let m = -13 - -11. Let h(a) = -a - 1. Let c(f) = 4*f + 4. Let s(j) = -2*c(j) - 7*h(j). Let q be (8/(-6))/(76/171). Let t(n) = n + 2. Calculate m*t(k) + q*s(k). k - 1 Let l(u) = 4 - 2*u - 2 - 1. Let k(r) be the third derivative of r**5/60 + 3*r**4/8 - 5*r**3/6 - 465*r**2. Give 4*k(i) + 18*l(i). 4*i**2 - 2 Let l(j) = -72*j - 6. Let c(m) = 796*m + 65. Determine 2*c(y) + 23*l(y). -64*y - 8 Let a(u) = -51*u**2 - 2*u - 2. Let f(d) = 13 + 3*d + 2*d + 2*d - 6 + 105*d**2 + 49*d**2. Give 7*a(c) + 2*f(c). -49*c**2 Let u(k) = -29*k. Suppose -2*v + 12*v = 420. Let o(m) = -51*m - v*m + 98*m. Determine 34*o(h) + 6*u(h). -4*h Let f(z) = -2*z + 3. Suppose -12 + 4 = -4*w. Suppose -l = w*l + 4*b + 34, -2*l + 4 = -4*b. Let p(q) = -9*q + 13. Calculate l*p(d) + 26*f(d). 2*d Let b(t) = -8*t**3 + 28*t**2 + 9*t + 3. Let n(k) = -2*k**3 - 2*k**2 + 2*k + 2. Give -b(p) + 3*n(p). 2*p**3 - 34*p**2 - 3*p + 3 Let a(m) = 3*m**3 + 2*m**2 - m - 2. Suppose -89*j - 23*j = -20*j + 184. Let n(v) = -3*v**3 - v**2 + 2*v + 3. Give j*n(g) - 3*a(g). -3*g**3 - 4*g**2 - g Let m(t) = 95*t**3 + 46*t**2 + 31*t - 2. Let p(k) = 190*k**3 + 115*k**2 + 62*k - 5. What is 5*m(j) - 2*p(j)? 95*j**3 + 31*j Let s(r) = -65*r**2 - 10*r - 45. Let i(d) = 130*d**2 + 19*d + 112. Give -2*i(b) - 5*s(b). 65*b**2 + 12*b + 1 Let n(k) = -k**2 - 213*k + 1309. Let u be n(6). Let c(w) = -2*w**2 + 2*w - 2. Let t(d) = d**3 + 5*d**2 - 5*d + 5. Calculate u*c(a) - 2*t(a). -2*a**3 Let s(c) = c. Let w(i) = 14*i - 3. Let r(x) = 3*s(x) - w(x). Let a(z) = 7*z - 2. Let v(q) = 5*a(q) + 3*r(q). Let u(g) = -g + 1. Calculate 3*u(b) + v(b). -b + 2 Let l(b) = -2*b + 19. Let z(d) = 245*d - 565. Calculate 30*l(p) + z(p). 185*p + 5 Let s(x) = x - 1. Suppose -3*g + 5*j - 569 = 93, -4*g - 944 = j. Let f(c) = -13*c**3 + 117*c - 117. Determine g*s(t) + 2*f(t). -26*t**3 Let r(s) = -31*s + 2. Let x(i) = -1. Let b = -14561 - -14560. Give b*x(n) - r(n). 31*n - 1 Let s(o) = -o**2 + 3*o - 10. Let i(b) = 4*b**2 + 2127*b + 60. Give i(j) + 6*s(j). -2*j**2 + 2145*j Let n(x) = x**2 + x. Let q(a) = 8*a**2 + 3 + 3*a**2 + 89*a**3 - 9*a**2 + 82*a**3 - 173*a**3. What is n(d) + q(d)? -2*d**3 + 3*d**2 + d + 3 Let o = -11 + 5. Let v(s) be the first derivative of 0*s + 51 - 1/2*s**2. Let b(q) = 7*q. What is o*v(d) - b(d)? -d Let o(l) = -29*l - 9. Let t be 1*((-74)/(-10) - 24/(-40)). Suppose 3*y = t*y - 20. Let v(i) = 2 - 28*i - y + 21*i. Give 2*o(u) - 9*v(u). 5*u Let i(h) = -572*h + 57. Let m(k) = 571*k - 46. What is 4*i(d) + 5*m(d)? 567*d - 2 Let r(g) = 23978*g**3 + 5*g**2 - 5*g + 5. Let x(n) = -805421017*n**3 - 167951*n**2 + 167951*n - 167951. Calculate 167951*r(l) + 5*x(l). 23993*l**3 Let l(j) = 17*j - 2920. Let u(w) = 5*w - 972. What is -2*l(f) + 7*u(f)? f - 964 Let v(l) = -49*l**2 - 4*l - 4. Let q = -6590 - -6541. Let b(h) = 588*h**2 + 49*h + 49. Give q*v(i) - 4*b(i). 49*i**2 Let n(i) = 14*i**3 + 3*i**2 - 3*i - 3. Let q(u) = 55*u**3 + 11*u**2 - 11*u - 11. Let o(f) = 2*f**2 - 5*f - 144. Let a be o(-7). Determine a*n(h) + 3*q(h). 11*h**3 Suppose -2*t - 7 = -23. Suppose -4*j = -9*j - 70. Let s be (j/t)/(28/(-112)). Let g(b) = -2*b + 3. Let v(x) = x**2 - 4*x + 7. Determine s*g(h) - 3*v(h). -3*h**2 - 2*h Let l(i) = 4*i + 304*i**2 - 10*i - i + 6*i - 305*i**2. Let v(u) = 3*u**2 + 12*u. What is 2*l(m) + v(m)? m**2 + 10*m Let k(x) = -6*x - 2. Let w(h) = 11*h + 5. Let i be 5/(40/(-4)) + 450/100. Determine i*w(c) + 7*k(c). 2*c + 6 Let w be (-6)/(4 - 10)*(-3)/(-1). Let r(q) = -15*q**2 + 2*q + 5. Suppose -8*j = -j. Let x(v) = v + 2*v**2 + 3 + j - 10*v**2. Determine w*r(l) - 5*x(l). -5*l**2 + l Let o(p) = 6*p**2 - 4. Let z(x) = -80*x**2 + x + 40. Determine -6*o(q) - z(q). 44*q**2 - q - 16 Let g(i) = 3641*i**3 + 3*i**2 + 3*i. Let k(z) = 18207*z**3 + 14*z**2 + 14*z. Determine -14*g(l) + 3*k(l). 3647*l**3 Let k(v) = 8*v**3 - 30*v**2 - 6*v + 5. Let c be k(4). Let m(f) = 9*f**2 + 13*f. Let l(z) = 6*z - 8 + 4*z**2 + 8 + z**2. Give c*l(n) - 6*m(n). 11*n**2 Let z(k) = 2*k - 27. Let x(o) = -4*o + 37. What is 3*x(n) + 4*z(n)? -4*n + 3 Let x(n) = -4660*n + 3. Let t(y) = 122026747*y - 78557. Give -6*t(d) - 157114*x(d). -9242*d Let n(r) = 1976*r - 138. Let x(l) = -282*l + 18. Give 2*n(y) + 15*x(y). -278*y - 6 Let v(z) = 2*z**3
{ "pile_set_name": "DM Mathematics" }
) = -7*o(i) - 6*r(i). What is the remainder when k(-15) is divided by 11? 9 Let n = 38 - 3. Let i(r) be the third derivative of -7*r**4/6 - 59*r**3/2 - 32*r**2 + 2. Calculate the remainder when i(-10) is divided by n. 33 Let a = 12 - 20. Let k be a/10 + 918/10. Let n = -82 + k. Calculate the remainder when 30 is divided by n. 3 Let v(p) = -39*p - 61. Suppose -m = 6*m + 70. What is the remainder when v(m) is divided by 55? 54 Let i(v) be the second derivative of v**5/20 + 7*v**4/12 - 35*v**3/6 - 12*v**2 + 26*v. Calculate the remainder when 177 is divided by i(-10). 21 Suppose -18*w + 36*w = 2448. Calculate the remainder when w is divided by 51. 34 Suppose 496 - 223 = 13*z. Calculate the remainder when 1291 is divided by z. 10 Let b = 16534 + -16380. Calculate the remainder when b is divided by 82. 72 Let s = 263 - 980. Let k = s + 729. What is the remainder when 57 is divided by k? 9 Let i be 2/14*22 + (-23)/161. Suppose i*a - 15 = 3. What is the remainder when 2/(4/a) + 1 is divided by 3? 1 Suppose -33*f - 1142 = -12428. What is the remainder when f is divided by 90? 72 Suppose 9*r = 8*r + 78. Let w = r - 64. Calculate the remainder when (-11)/(3/30*-2) is divided by w. 13 Let h = 27 - -34. What is the remainder when h is divided by -1*(2 - 4/((-8)/(-66)))? 30 Suppose -212 = -5*m + 123. What is the remainder when m is divided by (28/(-28))/(((-3)/(-42))/(5/(-10)))? 4 Let c be (1*2/(-4)*-6)/1. Suppose -v - q = -74, v - 301 = -c*v + q. Let b(d) = -d**3 + 7*d**2 - 3*d - 2. Calculate the remainder when v is divided by b(6). 11 What is the remainder when (2*(-129)/6)/((-6)/12) is divided by 35? 16 Let q be ((-5)/(-15))/(2/582). Suppose 35 = 98*p - q*p. What is the remainder when p is divided by 19? 16 Let l(b) = 3*b**2 - 110*b + 522. Calculate the remainder when 563 is divided by l(5). 46 What is the remainder when 10 + (-322)/(-7) + 2 is divided by -3 + 21 + 3/(-1)? 13 Suppose 2*m = 4*z + 120 + 206, 2*m - 3*z = 327. Suppose 0 = -0*g + 11*g - m. What is the remainder when 39 is divided by g? 9 Let m = -4569 - -4826. Calculate the remainder when m is divided by 41. 11 Let w(v) = v**2 - 9*v - 208. What is the remainder when 441 is divided by w(-14)? 99 Let z be (-9 - (1 + (0 - 2))) + 4. Let y = 25 + -3. What is the remainder when 0 + 42 + z + -1 is divided by y? 15 Let k(f) = 44*f - 351. What is the remainder when 221 is divided by k(9)? 41 Suppose -2*b - 5*t - 213 = -1181, 2*t = 4. Calculate the remainder when b is divided by 467. 12 Suppose -6*i - 945 = -i - 5*t, 5*t + 385 = -2*i. Let k = -176 - i. What is the remainder when 95 is divided by k? 11 Let q = -6248 - -6350. What is the remainder when 1592 is divided by q? 62 Let v = -1851 + 1930. Calculate the remainder when 133 is divided by v. 54 Let q(j) = j**3 - 3*j**2 - 15*j + 38. Let w be q(11). Let v = 857 - w. What is the remainder when 107 is divided by v? 11 Suppose -m + 2*z + 68 = 0, m = 4*z + 48 + 24. What is the remainder when m is divided by 41? 23 Suppose -1127*g + 1147*g = 3400. Calculate the remainder when g is divided by 63. 44 What is the remainder when (-324)/(-24)*(-57390)/(-45) is divided by 82? 79 Suppose 177 - 93 = 7*i. Calculate the remainder when 122 is divided by i. 2 Suppose -4*s - f = -47 + 5, 2*s - 32 = 5*f. Let j(q) be the second derivative of q**4/12 - 3*q**2 + 7*q. What is the remainder when s is divided by j(-3)? 2 Let w be (-14)/(-7) + -6 + 13. Suppose w*b - 17 = 100. Calculate the remainder when 36 is divided by b. 10 What is the remainder when 335 is divided by (-1)/((-6)/(19224/(-12))*3*-1)? 68 Let r = -64 + 63. Let t be 1251/36*(4 - (r + 1)). Suppose 5*y = t + 116. What is the remainder when y is divided by 26? 25 What is the remainder when 1415 is divided by (3 + 2 + -3)/10 + 21096/45? 8 Suppose -184 = 15*z - 19*z. Suppose 12 = 2*d + 2*n, n - 6*n + 24 = 3*d. Suppose 19 = -d*r + z. Calculate the remainder when r is divided by 5. 4 Suppose 3*s = 5*s - 224. Suppose 0*w + 654 = 41*w - 535. Calculate the remainder when s is divided by w. 25 Calculate the remainder when (-8 - -3002) + 3/(-6)*-4 is divided by 27. 26 Suppose 113 - 45 = 4*c. Suppose 2*u - y - 222 = 0, -u = 4*y - 0*y - 102. Suppose 0 = -5*m - 6*m + u. What is the remainder when c is divided by m? 7 Suppose j + 7 - 148 = -3*k, -2*j - 5*k + 284 = 0. Calculate the remainder when j is divided by 52. 43 Suppose 3*p - 117 = -2*q + 122, 0 = -5*q - 4*p + 580. What is the remainder when q is divided by 17? 10 What is the remainder when 117 is divided by (-67)/(1273/(-190)) + ((-6)/2)/1? 5 Let l = -180 - -186. Suppose c - 25 = 3*h - 3, 57 = 3*c - l*h. Calculate the remainder when 47 is divided by c. 8 Let a = 8216 - 8199. Calculate the remainder when 1844 is divided by a. 8 Calculate the remainder when -13 + 68 - (20/(-6) - 20/30) is divided by 28. 3 Suppose 0 = 57*p - 51*p - 84. Suppose 5*s = 6*s. Suppose s = 3*v + v - 152. Calculate the remainder when v is divided by p. 10 Let g(v) = 3*v**2 - 3*v + 1 + 12*v**2 + 4*v. Suppose 3*l + 489*j - 486*j - 180 = 0, 0 = -3*l - 5*j + 158. What is the remainder when l is divided by g(-1)? 11 Let g(v) = 2*v**3 + 42*v**2 - 14*v - 251. Calculate the remainder when 4017 is divided by g(-21). 18 Suppose 7 + 7 = h + 2*p, 2*p = -3*h + 34. Suppose 5*z = h*z - 115. Let f = 703 - 617. What is the remainder when f is divided by z? 17 Let j(q) = 28*q**2 - 13*q + 29. Calculate the remainder when j(-9) is divided by 37. 9 Suppose -18*p + 834 + 3396 = 0. Suppose -2*l = c - 215, -c = -0*c - 3*l - p. What is the remainder when c is divided by 38? 33 Let i = -3991 - -4839. Calculate the remainder when i is divided by 140. 8 Suppose -w = -4*z + z + 34, -42 = -4*z - 2*w. What is the remainder when 119 is divided by 6/33 + 218/z - -5? 19 Let o = 214 - 31. Suppose -g + 89 = -0*k - k, -3*k - o = -2*g. What is the remainder when g is divided by 39? 6 Suppose 0 = 4*u + 20 - 164. What is the remainder when 23 is divided by (-322)/(-92)*u/14? 5 What is the remainder when 431 is divided by -1 - (-7)/(14/50)? 23 Let q(n) = -5*n + 10. Let l be q(3). Let t be (l/(-2))/((-7)/14). Let a(i) = 3*i**2 + 12*i - 6. Calculate the remainder when 21 is divided by a(t). 3 Let v(q) = q**2 + 37*q + 23. Let d be v(10). Suppose d = 7*r - 494. Calculate the remainder when r is divided by 18. 15 Let l(d) = d + 26. Let p be ((-104)/12)/((-34)/51). What is the remainder when 81 is divided by l(p)? 3 Suppose 3*i + 198 = 3*s, 6*i - 3*i - 314 = -5*s. Suppose -211 = -36*f + 329. Calculate the remainder when s is divided by f. 4 Suppose 2*h + 18 = 2*y - 38, 5*y - 3*h - 148 = 0. Calculate the remainder when y is divided by (-1 + 27/15)*(-1170)/(-52). 14 Let b(c) = 2*c**2 + 22*c - 7. Let y be b(-16). Let h = 256 - y. Suppose 2*w = -3*m + 238 + h, 4*w = -4*m + 452. What is the remainder when m is divided by 9? 7 Let a = 88 - 99. What is the remainder when 124 is divided by (-1 - -15)*(-12 - -4 - a)? 40 Let d(f) = -11*f + 189. What is the remainder when 312 is divided by d(14)? 32 Suppose -6*k + 8*k = 3*n + 23, 5*k - 3*n = 62. Calculate the remainder when (42/(-18) - (-2)/(-3)) + 37 is divided by k. 8 Suppose 45 = 8*v - 299. Let d = -71 - -39. What is the remainder when v is divided by (d/(-24))/4 - (-47)/3? 11 Suppose 3*k = 4*c + 537, -21*k + 23*k = -3*c + 358. Calculate the remainder when k is divided by 25. 4 Let t(r) = 39*r - 197. Let j be t(5). What is the remainder when 142 is divided by 430/15 - j/6? 26 Suppose 8*j - 7*j = -0*j. Suppose 3*c - 11 - 7 = j. Calculate the remainder when c/21 + 761/7 is divided by 28. 25 Let t = -188978 - -189703. Suppose 0 = 5*q - 30 - 100. What is the remainder when t is divided by q? 23 Let t(g) = g**3 - 28*g**2 - 25*g - 26. Let p(y) = y**3 - 12*y**2 + y + 17. Let u be p(12). Calculate the remainder when t(u) is divided by 35. 20 Suppose -2*w + 36 - 24 = 0. Suppose -3*d - 5*j = -w*d + 50, 27 = 2*d + 3*j. What is the remainder when (-89)/(-3) - 2/3 is divided by d? 14 Let r(p) = -39*p + 287. Let w(l) = 5*l - 3. Let v be 0 + 4*12/8. Calculate the remainder when w(v) is divided by r(7). 13 Let q be (-2 + -29)/(1/3). Let w = -57 - q. Let p(s) = s**2 - 1387*s + 11138. What is the remainder when p(8) is divided by w? 34 Let n(l) = 4*l**2 + 7*l**2 - 15*l**2 + 6*l - 104 + 5*l**2. Calculate the remai
{ "pile_set_name": "DM Mathematics" }
k - k + (k + 2*k - k)*(-1 + 2 + 0) + 2*k + 4*k - k + (-2*k - 4 + 4)*(1 + 1 - 3) to the form s*k + t and give s. 12 Rearrange g + 5*g - 4*g + 22*g + 44 - 44 + 2*g + 3*g - 6*g + (g - 2*g + 3*g)*(-3 + 4 + 0) + 1 - 1 - 2*g to the form z*g + c and give z. 23 Express (1 - 2 + 3)*(-i + i - 3*i**3) + 27*i**3 - 119*i + 119*i as y*i + w*i**3 + n + o*i**2 and give w. 21 Rearrange 2 + 0*r + r - r - r - 2*r**2 to i + s*r + h*r**2 and give s. -1 Express -2*t + 0 - 2 + 10*t + 0 as w*t + d and give w. 8 Express 3 + 2 - 5 - 17*w as p + y*w and give p. 0 Express (-1 - 2*b + 0 + 4*b)*(12 - 15 - 25)*(2 - 3 + 3) as i*b + q and give i. -112 Rearrange (-o + 4*o - 4*o)*(-9 + 0 + 0)*(-4 + 0 - 1) to the form w + n*o and give n. -45 Rearrange -3*p - 2 - 7*p**2 - 5*p**2 + 13*p**2 + 2*p**4 to c*p**3 + v*p + d*p**4 + x + l*p**2 and give x. -2 Express -5 + 13 + 91*o**2 - 92*o**2 in the form v*o**2 + h + s*o and give h. 8 Express 2*l**2 + l - l + 294*l + 9*l**2 - 294*l + (l + 0*l - 3*l)*(-l + 0 + 0) in the form g + s*l + b*l**2 and give b. 13 Rearrange -11*v**2 + 14*v + 18 + 10*v**2 - 20 to the form i*v + z*v**2 + f and give z. -1 Rearrange (-166*y**2 - 202*y**2 + 460*y**2)*(-3*y + 5*y - y) + y**3 - y + y to p*y**3 + u + x*y**2 + r*y and give r. 0 Rearrange 3*r**3 + 0*r**3 + 8*r**2 + 2 - 4*r**3 to the form p*r**3 + z*r**2 + l + o*r and give z. 8 Express 6*m**3 - 5*m**3 + 3*m**2 - 14 + 2*m**2 - 3*m**2 in the form o*m**3 + l + j*m + g*m**2 and give g. 2 Express 27 - 4*a - 27 as f*a + x and give f. -4 Express -24*j**3 + 1 + 45*j**3 - 24*j**3 + 2 as d + u*j + b*j**2 + p*j**3 and give d. 3 Express (-118*v + 20 - 20)*(1 + 2*v**3 - 1 + v**2) as x*v + g*v**4 + n + s*v**2 + m*v**3 and give g. -236 Express 0*c**2 + 3*c**2 + 10 - 11 + 0*c**2 in the form a + n*c**2 + j*c and give n. 3 Express (-3*p**2 - 4*p**2 + p**2)*(-2*p - 5 + 5 - 8*p + 3*p + 2*p + 2*p + 3*p - 3*p + (-2*p + 0*p + 0*p)*(2 - 4 + 1)) as k*p + c*p**2 + t + j*p**3 and give j. 6 Express l + 2*l + 428*l**2 - l - 411*l**2 as d*l + v + u*l**2 and give d. 2 Express 13 - 6*r**2 + 6*r**2 + 2*r**3 - r**3 in the form s*r**3 + q*r**2 + m + y*r and give s. 1 Express -4*j + 4*j**3 + j + j**3 - 4*j**3 in the form g*j**2 + f + b*j + v*j**3 and give v. 1 Express (h + 4*h - 6*h)*(-2 + 2 + h**3) - 3*h**4 + 9*h**4 + 9*h**4 as t*h**3 + p + j*h**2 + k*h + b*h**4 and give k. 0 Express -1 - 7 + 7 + 2 - 9*y in the form q + n*y and give n. -9 Rearrange 5*p - 6*p - 5*p**2 + p - 4*p**3 to q + s*p**3 + i*p**2 + x*p and give i. -5 Rearrange (-3*z**2 + 5*z - 5*z)*(-1 + 4 - 1) - 2*z**2 - z**2 + 5*z**2 to n*z + s + o*z**2 and give o. -4 Express 3 + 6 - 3*a**2 + 5 - 5 as k*a**2 + q + c*a and give q. 9 Express (z - 5*z + 2*z)*(1 - 2 + 2)*(-45*z - 14*z - 11*z) as q*z + g*z**2 + f and give g. 140 Rearrange b**3 + 4*b + 3*b**2 + 13*b - 16*b - b**2 to the form v*b**3 + p*b + w*b**2 + x and give v. 1 Rearrange 18 - x**2 + 11*x - 11*x + 18 to k*x**2 + s + g*x and give k. -1 Express -4*d + 4*d + d + 3*d**3 in the form h + l*d**3 + v*d + j*d**2 and give v. 1 Rearrange x + 5*x - 4*x - 4*x + 2*x + 3*x + (-3 - 2 + 3)*(-x - x + 4*x) + 4*x - 3*x - 3*x - 4*x + 4*x - 2*x to the form q + g*x and give g. -5 Rearrange (-13*z**2 + 0*z**3 - z**2 - z**3)*(3 + 1 - 6) to the form u*z + g + c*z**3 + q*z**2 and give c. 2 Express v - 2*v**2 - 3*v + 0*v + 70*v**3 - 69*v**3 in the form y*v + z*v**2 + o*v**3 + a and give y. -2 Rearrange -7*c**2 - 246*c - 241*c + 487*c - 6 to x + a*c**2 + n*c and give a. -7 Rearrange 3*z**2 + 2 - 2*z**4 - 5*z**2 - 3*z**4 + 3*z**3 to t*z**2 + j*z**4 + h + c*z + v*z**3 and give v. 3 Rearrange 5 - 18*j**2 - 18*j**2 - j - 13*j**2 + 50*j**2 to h*j + f*j**2 + b and give h. -1 Rearrange (-3*b - 2*b + 7*b)*(b - 2 + 2)*(3*b - 2*b + 11*b) to the form c*b + f + z*b**2 + k*b**3 and give k. 24 Rearrange (4 - 2 + 2 + (-2 + 0 + 0)*(-3 + 0 + 4) - 3 + 2 + 3)*(-8 - 2*t**2 - t**2 + t**2) to the form v*t**2 + a*t + x and give x. -32 Express -77*i**2 + 95 - 95 in the form z*i + c*i**2 + m and give c. -77 Express (-1 + 4 - 4)*(4 - 4 + 1)*(r**2 - r**2 + 2*r**2) + 2*r**2 - 5*r**2 + 0*r**2 in the form a + b*r**2 + z*r and give b. -5 Rearrange -4*n**2 - n**2 - 2*n**2 + 8*n**2 - 2 to v*n**2 + x + d*n and give v. 1 Rearrange 24 + 7*f - 9*f + 0*f to u*f + m and give m. 24 Rearrange (-4 + 4 + t)*(5*t - 4*t - 5*t) + 0*t + 2*t**2 + 0*t to o*t**2 + i*t + d and give o. -2 Express -4*l + 23*l + 106*l + (4*l - 2*l + 0*l)*(4 - 3 - 3) in the form c + j*l and give j. 121 Rearrange (-45*y + 462 - 462)*(2*y - 1 + 1 + y**2) to t + m*y**2 + l*y + j*y**3 and give j. -45 Rearrange (-5 - 4*b + 5)*(2 + 0 - 6)*(b + 0*b - 2*b) to g*b + c*b**2 + l and give c. -16 Express d - 2*d + 0*d - 2*d as y*d + u and give y. -3 Express (3 + 3 - 7 - 12*p)*(2 - 1 + 1) in the form s*p + b and give b. -2 Rearrange 2*d**3 - 5*d**4 - 5*d + 6*d**4 - 3*d**3 to the form u*d**2 + l*d**4 + b + x*d + y*d**3 and give x. -5 Express (-1 + 2 - 2 - 1 - 2 + 5 + (-4 - 2 + 4)*(0 + 2 + 0) + 3 + 2 - 6 + 1 + 0 - 3 + (0 + 0 - 2)*(0 - 2 + 0))*(h - 2 + 2) as v + j*h and give j. -2 Express (0*s**2 + 7*s**3 + s**2 - 3*s**3)*(-4*s + 6*s + 0*s - s + 2*s - 2*s + (-3*s + 3*s + s)*(0 + 1 - 3)) as f + h*s**3 + l*s**4 + i*s**2 + j*s and give h. -1 Express i - 10*i - 16*i - 2*i as b*i + p and give b. -27 Rearrange 2*b - 73*b**3 + 75*b**3 - 8*b**4 - 3 + 4 to the form u*b**3 + i + q*b + f*b**2 + d*b**4 and give u. 2 Rearrange -1 - 4*i**3 + 386*i**2 - 386*i**2 to the form y*i**3 + f*i + b*i**2 + k and give y. -4 Rearrange (2 - 2 + 2)*(1 - 2*n - 1) + 3 + n - 3 + 8*n - 4*n + 10*n + 0*n - 4*n + 2*n + (-2 + 2 + 1)*(n + n + 0*n) + 1 - 1 + 2*n to the form c + x*n and give x. 13 Rearrange (-6 + 2 + 1)*(k**3 + 0*k**3 + 2*k**3 + (-5*k - 3*k + 4*k)*(0*k**2 + 2*k**2 + 0*k**2)) to z*k**2 + g*k**3 + m + n*k and give g. 15 Express -2*i**3 + 7*i**2 + 16 - i - 16 as c*i + z*i**3 + m*i**2 + w and give m. 7 Express 32*c + 15*c - 13*c - 2 + 3*c in the form t*c + p and give p. -2 Express ((1 - j - 1)*(2*j - 6*j + 2*j) + j**2 + 0*j**2 - 2*j**2)*(-4 - 2*j**2 + 4) as r*j**4 + s*j**2 + o*j**3 + q*j + n and give r. -2 Express 4*s**2 + 0*s**2 - 2*s**2 + (0*s - 4*s + 6*s)*(-6*s + 8*s + 5*s) as f*s**2 + m + a*s and give f. 16 Rearrange -11*r - 15*r + 5*r to h + f*r and give f. -21 Rearrange (-41 - 5*f + 41)*(2*f**2 - 3*f**2 + 2*f**2 + 3*f**2 - 5*f**2 + f**2 + (-2*f - f + 2*f)*(-3 + f + 3)) to the form m*f + z*f**3 + d + l*f**2 and give z. 5 Rearrange 25*s + 32*s - 2*s**4 - 59*s + 1 to q*s**3 + j*s**2 + d + o*s**4 + w*s and give d. 1 Rearrange 2 - 10*h**3 - 1 - 9*h**4 + 11*h**4 + 2*h + h**2 to the form r + w*h + q*h**4 + a*h**2 + y*h**3 and give q. 2 Rearrange 49*j + 28*j + 44*j to i + z*j and give z. 121 Express 3*a**3 - 8*a**3 + 6*a**3 - 2 + a**2 in the form h*a**2 + o*a + s*a**3 + k and give k. -2 Express 38*q - 17*q - 46*q in the form o*q + a and give o. -25 Express -25*c**3 - 2*c**2 + 17*c**3 + 6*c**3 - c**4 + 3*c as n*c + h*c**2 + a*c**4 + o + p*c**3 and give n. 3 Express j**2 + 0*j**2 + 0*j**2 + (j - j + 2*j)*(2*j - 1 + 1) - 3 - j + 2*j**2 + 3 in the form n*j + d*j**2 + p and give n. -1 Express h**2 - 12*h**3 - h**2 - 4*h**2 + h**2 + 2 in the form q + m*h**3 + j*h + y*h**2 and give y. -3 Rearrange o**3 - 4*o**3 + o**3 + (2 - 2 - o**2)*(17*o - 7*o + 6*o) to the form d*o**3 + f*o + k*o**2 + p and give d. -18 Rearrange 1 + 8*p - 2*p**3 - 6*p + 4*p + (4 - 3 - 3)*(0*p**3 - p**3 + 3*p**3) + p**3 - 1 + 1 to the form f*p**2 + b*p + s*p**3 + i and give s. -5 Express (-2 - 4 + 4)*(2*s - 2 + 2) + 0*s + 13*s - 14*s - 25 + 0*s + 0*s + 2*s + (-5*s + s + 3*s)*(5 - 4 + 0) in the form l + u*s and give u. -4 Express 0*n**3 - n**2 + 10*n**4 - 3 - 2*n**3 + 2*n + 0*n - 8*n**4 as s*n**4 + t + c*n**2 + r*n**3 + j*n and give r. -2 Rearrange 4*k**3 - k**2 + k**2 + 0*k**2 + k - 2*k**2 - 1 to i + v*k + p*k**2 + j*k**3 and give p. -2 Rearrange -6*z - 7*z**3 + 13*z - 6*z to g + i*z + f*z**2 + y*z**3 and give i. 1 Rearrange (-7*q + 6*q - 13*q - 3*q**2)*(0*q - q + 3*q) to x + r*q + j*q**2 + s*q**3 and give x. 0 Express 44*w**3 + 5*w**2 + 2*w**2 - 42*w**3 - 1 as h*w + c*w**2 + l*w**3 + v and give v. -1 Express 0 + 0 + 14*v - 34*v in the form f + p*v and give p. -20 Rearrange -18*y**3 - 4*y**4 - y**3 + 0*y**4 - 2*y + 6*y**4 to the form d*y**2 + g + b*y**3 + w*y**4 + l*y and give b. -19 Express 3*j*
{ "pile_set_name": "DM Mathematics" }
ect the terms in -120011*j + 2185727 - 2185727. -120011*j Collect the terms in -9462442 + 4731492 - 11*n**2 + 4730950. -11*n**2 Collect the terms in -890*b**2 - 1097*b**2 + 3226*b**2 - 683*b**2. 556*b**2 Collect the terms in -597*a**2 - 461*a**2 - 1451*a**2 + 157*a**2. -2352*a**2 Collect the terms in 6*w + 129443*w**2 + 13*w - 19*w. 129443*w**2 Collect the terms in -247*o**2 - 143*o**2 - 1252*o**2 - 567*o**2 - 188*o**2 + 121*o**2. -2276*o**2 Collect the terms in -108*v - 125*v - 95*v - 90*v + 502*v - 92*v. -8*v Collect the terms in 305*x - 1564*x + 314*x + 308*x + 306*x + 341*x. 10*x Collect the terms in 2*n**3 + 333273076*n - 333273076*n. 2*n**3 Collect the terms in 22921*m - 48943*m + 26043*m. 21*m Collect the terms in 4*x - 68188915 + 34094410 - 5*x + 34094505. -x Collect the terms in 2 - 29304*p**3 + 9743*p**3 - 2 + 9731*p**3 + 9828*p**3. -2*p**3 Collect the terms in 1451*c + 536 - 536 + 7294*c + 2140*c. 10885*c Collect the terms in 253*q - 128*q - 56*q**3 - 125*q - 88*q**3 + 39*q**3. -105*q**3 Collect the terms in 0*i + 4525*i**2 + 4538*i**2 + 4436*i**2 + 0*i - 13634*i**2. -135*i**2 Collect the terms in -3370*y - 2945*y - 13742*y + 4418*y. -15639*y Collect the terms in 49*m**3 + 11*m**3 + 10202861 - 10202858. 60*m**3 + 3 Collect the terms in 1761*c**3 + 1765*c**3 + 2*c**2 - 5287*c**3 + 1759*c**3 + 406. -2*c**3 + 2*c**2 + 406 Collect the terms in 1081602*x - 540693*x - 540885*x. 24*x Collect the terms in z**2 + 168 - z**3 - 3*z**2 - 135 + 4*z**3 - 86. 3*z**3 - 2*z**2 - 53 Collect the terms in 2153*i - 9391*i - 1340*i - 7936*i. -16514*i Collect the terms in -10*n - 5 + 32478*n**3 + 10*n. 32478*n**3 - 5 Collect the terms in 11443*t - 23197*t - t**2 + 11752*t. -t**2 - 2*t Collect the terms in -1548 - 1501 - 201*t**2 + 3049 + 204*t**2. 3*t**2 Collect the terms in 372*j**2 - 18747 + 9384 + 9363. 372*j**2 Collect the terms in 771 - 165*q**2 - 169*q**2 - 170*q**2 + 507*q**2. 3*q**2 + 771 Collect the terms in -961691*i**2 - 4*i - 367550*i**2 + 4*i. -1329241*i**2 Collect the terms in -2472035600261*s + 2472035600261*s + 7*s**3. 7*s**3 Collect the terms in -431*i + 1 - 442*i + 1484*i - 611*i + 404*i**2. 404*i**2 + 1 Collect the terms in -2*p - 16*p**3 - 2*p**2 + p**2 + 14037 + 0*p**2. -16*p**3 - p**2 - 2*p + 14037 Collect the terms in -27526*s**3 - 28010*s**3 + 55509*s**3. -27*s**3 Collect the terms in 381 - 189 - 19*z + 4*z - 192 - z**2. -z**2 - 15*z Collect the terms in 163857 - 327770 - 16*p + 163913. -16*p Collect the terms in -64*q**2 + 4541*q**3 - 41*q**2 + 105*q**2. 4541*q**3 Collect the terms in -29132*l - 51*l**3 + 4*l**2 - l**2 - 5*l**2 - 18*l**3 + 29132*l. -69*l**3 - 2*l**2 Collect the terms in -298659*n + 49165*n - 47020*n. -296514*n Collect the terms in 109*k**2 - 27*k**3 - 18*k**3 - 484 - 136 - 109*k**2 + 47*k**3. 2*k**3 - 620 Collect the terms in 407697*z - 815756*z + 408027*z. -32*z Collect the terms in 502*x**2 + 1304*x - 1304*x - 1640*x**2 + 381*x**2 + 374*x**2 + 380*x**2. -3*x**2 Collect the terms in -27071*v + 13242*v + 13172*v. -657*v Collect the terms in -1201*p**2 - 25*p + 18*p + 7*p + 8403*p**2. 7202*p**2 Collect the terms in -34*t - 17*t + 73*t - 75667 - 23*t. -t - 75667 Collect the terms in -27 - 25 + 2413*l**2 + 86 + 2*l - 31. 2413*l**2 + 2*l + 3 Collect the terms in 837583505*l - 837583505*l + 207*l**3. 207*l**3 Collect the terms in 5392*c**3 + 5385*c**3 - 21627*c**3 + 5406*c**3 + 5410*c**3. -34*c**3 Collect the terms in -3713*x**3 - 4606*x**3 - 385 + 385 - 5906*x**3. -14225*x**3 Collect the terms in 20*q**3 - 1120797556992*q + 1120797556992*q. 20*q**3 Collect the terms in 30555*r**3 - 33624*r**3 - 94839*r**3 - 77947*r**3 - 19918*r**3. -195773*r**3 Collect the terms in 1239 + 111*b**3 - 3078 - b + 528*b**3 + 1839 + 0*b. 639*b**3 - b Collect the terms in 10178*m**2 + 28*m - 3400*m**2 - 3405*m**2 - 3375*m**2. -2*m**2 + 28*m Collect the terms in -4029573 + 2*v - 4029550 + 8059174. 2*v + 51 Collect the terms in 1081881 + 6*n - 1081881 + n + 0*n - 13*n + 3*n. -3*n Collect the terms in 2*u + u - 391122*u**3 + 391134*u**3 + 13*u**2 - 3*u. 12*u**3 + 13*u**2 Collect the terms in -36 - 88 - 54 - 8692*a + 114. -8692*a - 64 Collect the terms in 4197930*p - 4197930*p - 20*p**3. -20*p**3 Collect the terms in 453158*p + 453145*p - 906300*p - 4. 3*p - 4 Collect the terms in -192*w**3 + 726*w**3 - 166*w**3 - 92*w**3. 276*w**3 Collect the terms in -363*w - 399*w + 1803*w - 385*w - 454*w. 202*w Collect the terms in -2682 - 3601 - 2680 + 20*u**3 + 8963. 20*u**3 Collect the terms in -7791*r + 3355*r + 4010*r. -426*r Collect the terms in 94*c - 59*c + 102*c - 1618. 137*c - 1618 Collect the terms in 22325*o**3 + 20923*o**3 - 24027*o**3. 19221*o**3 Collect the terms in -5506*k**2 + 11161*k**2 - 5688*k**2. -33*k**2 Collect the terms in 4*d**3 - 413540165183 + 413540165183. 4*d**3 Collect the terms in 4474*i - 2409*i - 2280*i. -215*i Collect the terms in 11074*t**3 + 30846*t**3 - 9859*t**3. 32061*t**3 Collect the terms in -52 - 7*j - 92 + 2*j + 4*j**3. 4*j**3 - 5*j - 144 Collect the terms in 2 - 2 + 939251*z**3 - 947828*z**3. -8577*z**3 Collect the terms in -19640*s - 2553 + 2190*s + 2553. -17450*s Collect the terms in -8038*s**2 + 50489*s**3 + 16075*s**2 - 8037*s**2. 50489*s**3 Collect the terms in 7*s**2 + 3323*s - 6992*s + 3*s**2 + 3687*s. 10*s**2 + 18*s Collect the terms in -10 + 3 - 312*o + 7 - 121*o - 61. -433*o - 61 Collect the terms in -1139*s - 1153*s - 1136*s - 1146*s - 3 - 1109*s + 5696*s. 13*s - 3 Collect the terms in 2862 + 6*c - 552 + 2988 - 1447. 6*c + 3851 Collect the terms in 18803*f - 18801*f - 319 - 309. 2*f - 628 Collect the terms in 2240*t**2 + t + 2241*t**2 - 8962*t**2 + 2251*t**2 - 3*t + 2237*t**2. 7*t**2 - 2*t Collect the terms in 4384*f**3 + 84*f**2 - 25*f**2 - 40*f**2 - 855*f**3 - 17*f**2. 3529*f**3 + 2*f**2 Collect the terms in 0*r - 16894*r**3 + 9862*r**3 + 7009*r**3 + 0*r. -23*r**3 Collect the terms in n + 3939*n**2 + 9*n**3 + 0*n - 7885*n**2 + 3938*n**2 - n. 9*n**3 - 8*n**2 Collect the terms in -20*f**3 - 36*f**2 + 6*f**2 + 30*f**2 + 12*f**3 + 11*f**3. 3*f**3 Collect the terms in -6314*b + 3148*b + 3151*b. -15*b Collect the terms in -23137283539*t**2 - 46*t**3 + 23137283539*t**2. -46*t**3 Collect the terms in 29194*x + 21*x**3 - 59131*x - 8*x**3 + 29937*x. 13*x**3 Collect the terms in 8 + 649*b + 10 - 323*b - 33 - 320*b + 13. 6*b - 2 Collect the terms in -17 - 30 + 63 + 367*r**3 - 16. 367*r**3 Collect the terms in 2*c - 11*c**3 + 42*c**3 - 11171036*c**2 + 11171038*c**2 - 2*c. 31*c**3 + 2*c**2 Collect the terms in 2443 - 572 - 1870 - 46*f**3. -46*f**3 + 1 Collect the terms in 7*v - 80 + 6*v - 25*v + 17*v - v - 2*v. 2*v - 80 Collect the terms in 55933*r + 33919*r - 12312*r + 15295*r + 1113*r. 93948*r Collect the terms in 8199*w + 8210*w + 8205*w + 8210*w + 8197*w - 41048*w. -27*w Collect the terms in 224933*a + 270890*a - 25421*a. 470402*a Collect the terms in -a**2 + 107*a**2 + 6*a**2 - a**3 + 0*a**3 - 346. -a**3 + 112*a**2 - 346 Collect the terms in 16904*z**3 + 572*z**2 - 572*z**2. 16904*z**3 Collect the terms in 129 - u - 211 + 82 + 15*u**2. 15*u**2 - u Collect the terms in -182*w - 53*w - 257*w - 8*w - w**2 - 24*w + 41*w. -w**2 - 483*w Collect the terms in -2895 - 7*p + 143*p + 2900 + 38*p. 174*p + 5 Collect the terms in -3568*y**3 + 409*y**3 + 1223*y**3. -1936*y**3 Collect the terms in -1 + 1047*r + 0 - 2 + 1124*r - 3101*r + 1070*r. 140*r - 3 Collect the terms in 1 + 137*s + 7 + 6 - 126*s**2 - 2. -126*s**2 + 137*s + 12 Collect the terms in 347618 - 695218 - 37*x + 347609. -37*x + 9 Collect the terms in -878*u**3 + 7*u**2 + 120*u**2 - 122*u**2. -878*u**3 + 5*u**2 Collect the terms in -73*t**3 + 2*t**2 + t**2 + 19 - 8*t - 3*t**2 - 28. -73*t**3 - 8*t - 9 Collect the terms in 0*z**2 - 15*z - 36*z + 6*z**2 - 3*z**2 + 94*z. 3*z**2 + 43*z Collect the terms in -486*s**2 + 2679*s**2 + 1715*s**2 + 2008*s**2. 5916*s**2 Collect the terms in -1258*k + 2511*k - 1238*k - 6*k**3. -6*k**3 + 15*k Collect the terms in 477*o - 195*o - 151*o + 1043*o + 592*o. 1766*o Collect the terms in -145138*u - 145208*u + 290399*u. 53*u Collect the terms in 22*p**3 + 49*p**3 - 4*p**3 + 7988 - 7988. 67*p**3 Collect the terms in 149 + 2*n + 119 + 142 + 141 - 741 + 145. 2*n - 45 Collect the terms in 6*b**2 + 3*b**2 - 9*b**2 + 217290*b**3. 217290
{ "pile_set_name": "DM Mathematics" }
6)/(-8))/(-2). Find the common denominator of (23 - 42)*n/14 and -23/20. 140 Let i = -5307321/667 + 7957. Let j = 47373/5336 + i. Find the common denominator of -151/12 and j. 24 Let u = 24814162/483 - 51375. Find the common denominator of 121/414 and u. 2898 Suppose -10 = 2*t - 30. Let z = -193 - -268. Suppose -4*f + 32 = 2*v, -12*f = 5*v - 7*f - z. Calculate the lowest common multiple of t and v. 70 Suppose 108*z = 285*z - 2832. Calculate the least common multiple of 92 and z. 368 Suppose 4*q = 2*q + 4. Suppose -5*a + 10 = -5*k, 2 = -2*k + 4*a - q. Calculate the common denominator of ((-1)/k)/(56/(-581)) and -137/18. 144 Suppose 2*d = z - d - 13, 3*z - 3*d = 33. Let m(n) = -77*n - 422. Calculate the lowest common multiple of z and m(-6). 40 Let v = -1165 + 358821/308. What is the common denominator of v and -89/168? 1848 Suppose -s + 78 = 20. Let q = -116 + 72. Let w = s + q. Calculate the least common multiple of w and 22. 154 Suppose -6*i + 180 + 120 = 0. What is the smallest common multiple of 16/6*75/i and 202? 404 Let k(t) = t**2 - 5*t + 6. Let x(g) = g**2 - 19*g + 24. Let d be x(15). What is the lowest common multiple of (3*(-9)/d)/((-2)/(-24)) and k(5)? 18 Find the common denominator of 139/228 and 9373/(-8892) + (-1)/(8/(-6)). 684 Calculate the common denominator of -7/27408 and (-45)/(-80)*((-784)/24 + -6). 27408 Let i(o) = -26 + 1 + 4 - 145*o + 148*o. What is the least common multiple of i(18) and 4? 132 Let n = -786961/36 + 21863. Calculate the common denominator of n and (54/20)/(-1 - 159/(-15)). 288 Let l(f) be the first derivative of 131*f**2/2 + 80*f + 22. Let d be l(-15). What is the common denominator of (d/(-42))/13 - 3 and 95/6? 42 Let l = -2/9623 + 356357/1472319. Calculate the common denominator of 151/486 and l. 8262 Suppose p - 28 - 1 = -4*z, -4*z = -2*p + 34. Suppose 2*s + 70 - 244 = 0. Let a = 114 - s. What is the least common multiple of p and a? 189 Let o(w) = -13*w - 180. Let f be o(29). Let g = f + 559. Let l = -42 + 62. Calculate the least common multiple of l and g. 20 Let w be ((-3)/(-5634)*4)/(2066/6). Let h = w + -33303067/29099610. Find the common denominator of -22/27 and h. 270 Let u = -2557/3 - -866. Let r = -34 + 73. Calculate the common denominator of r/8*(-196)/(-21) and u. 6 Suppose i - 2*i - i = 0. Suppose 2*d - 6 = i, 2*d - 342 = -2*n - 2*n. What is the least common multiple of 12 and 3/(n/184) + 4/(-7)? 12 Calculate the lowest common multiple of (-66)/165 - 8106/20*(-12)/9 and 810. 1620 Let a be 7 - (2*-1 + 4). Suppose -w + a + 1 = 0. What is the least common multiple of (-81)/108 - (8 + 182/(-8)) and w? 42 Suppose -y + 4*a = -6, -7 = -4*y + 4*a + 5. Let l = 4 - y. What is the lowest common multiple of l and 12? 12 Let v = 3/70 - 449/210. Let f = 64/9 - 238/9. Let a = 19 + f. What is the common denominator of a and v? 21 Find the common denominator of -37/16 and 6/(-4)*((-68)/612)/(26/(-82)). 624 What is the common denominator of -47/26 and ((1792/(-910))/(-16))/((-3)/(-50))? 78 Find the common denominator of 51/658 and (-47377)/83190 - (51/30 + -2). 1974 Let i = -17667529/489 + 36130. Find the common denominator of 67/63 and i. 10269 Let q = 456764266/4321 - 105708. Let u = q + 280953/190124. Find the common denominator of u and -3 + 9 + 1/((-90)/(-333)). 220 Let i = 100 + -92. Suppose -8*k + 4*k = -i, -5*b - 3*k = -31. Let h = 2 + 0. Calculate the least common multiple of b and h. 10 Let f be (58/8)/((-8)/(-448)). Let h = f - 384. What is the smallest common multiple of h and 32? 352 Suppose -5*m = -3*f + 361, m + 2*m = 4*f - 474. Suppose -f = -8*q + 99. Calculate the least common multiple of q and 96. 864 Let z(c) = -47*c + 45. Let h be z(0). Suppose -h*i + 47*i = 3*b + 139, -5*i + 2*b = -375. What is the least common multiple of 49 and i? 539 Let d(u) = 5*u + 5. Suppose 0 = 5*t - 2*t - 3*f - 246, -3*t - 3*f = -216. What is the smallest common multiple of t and d(6)? 385 Calculate the common denominator of 101/5286 and ((-14)/(-105)*5)/(2512/360 - 6). 58146 Let u be ((-2)/4)/(639210/88). Let p = u + 32941/174330. What is the common denominator of p and 31/48? 720 Let z = 5 - 3. Let q be z/(15/4 - 4). Let p = q + 24. What is the least common multiple of p and 10? 80 Let d(z) = -12*z + 2. Let c be d(3). Let w = c + 30. Find the common denominator of -1*115/(-45) + w and -47/6. 18 Suppose o = -5*a - 3, -o + 2*a + 0*a + 11 = 0. Suppose o*g + 180 = 9*g. Calculate the common denominator of -26/9 and 4/(-6) + g/42. 63 Calculate the common denominator of 80/567 and (2/(-14))/(83/(-581)) - (-690)/(-1134). 567 Let a(x) = 9*x**2 + 293*x + 14. Calculate the least common multiple of 4 and a(-36). 2260 Suppose -7*q + 9 = -4*q. Let t(p) = -19*p**3 + 2*p**2 + 2*p + 1. Calculate the least common multiple of (-60)/(-3) + q - -2 and t(-1). 100 Suppose 2*y = 59 - 11. Let w = 7787 - 7771. Calculate the least common multiple of w and y. 48 Suppose -5*l = -3*a + 2928738, 4*l + 5*a + 1529479 + 813541 = 0. Let i be (4/(-10))/((-176)/l). Let u = i - -1315. Find the common denominator of u and 77/10. 20 Calculate the smallest common multiple of ((-1830)/(-244))/((-2)/(-24)) and 160. 1440 Let b be ((-3)/(-4))/(153/(-3671322)). Let v = b - -17998. What is the common denominator of v and (-3 - -3)/(-8) + (1 - 81/(-6))? 34 Let w(f) = -f**3 - 16*f**2 + 4. Let m be w(-16). Suppose 0 = 5*x - 5, 0*x = m*b - 2*x + 38. Find the common denominator of ((-47)/b)/((2 - -2) + -5) and 7/8. 72 Calculate the common denominator of -119/50 and ((-73470)/8000 + 9)/3. 800 Let q = -13400845 - -9005365393/672. Let a = q - -65/42. Find the common denominator of a and 23/8. 32 Let k = -1208 + 1394. What is the lowest common multiple of k and 26? 2418 Find the common denominator of (21/(-9780))/(1248/(-6760)) and -23/96. 15648 Suppose -4*n + 5*n = -12. Let u(i) = -i**2 - 17*i - 5. Let g be u(n). Suppose -g - 89 = -6*o. What is the lowest common multiple of 24 and o? 24 Let f be (-2 - -1)/(59/177). Let n(c) = -4*c**3 + c**2 + 3*c + 7. Calculate the least common multiple of 9 and n(f). 1035 Suppose -653 = -9*d + 6*d + k, 0 = 4*d - 2*k - 874. Calculate the least common multiple of d and 147. 10584 Let n(b) = -41*b**2. Let t be n(1). Let q = t - -44. Suppose 123 = q*v + 45. What is the smallest common multiple of 20 and v? 260 Let y(q) = -16*q - 16. Let v be y(-3). Suppose h - v = 22. Calculate the lowest common multiple of h and 14. 378 Let h = 463 - 523. Calculate the common denominator of (24/(-90))/(h/50) and -46/45. 45 Suppose -17 + 5 = 3*l, -2*l = -g + 256. Calculate the lowest common multiple of g and 2. 248 Suppose -251*b = -252*b + 2*c + 105, -b = c - 105. What is the least common multiple of b and 91? 1365 Let v = 3589 - 3347. Calculate the lowest common multiple of v and 6. 726 Suppose 11 - 13 = -x. What is the least common multiple of x and 66 - 1 - -3 - (17 + -11)? 62 Let t = -165811/16740 - -890/93. Calculate the common denominator of t and -45/4. 540 Suppose 11*d = 15*d + 144. Suppose -o + 2 = 2*b - 0*o, 0 = -2*b - 3*o - 6. What is the least common multiple of -11 - d - (-3 - -1) and b? 27 Suppose 3*j + 5*w - 3724 = 0, 0 = -4*j - 0*j - w + 4954. Calculate the smallest common multiple of j and 4. 2476 Suppose 59 = 16*o - 11*o - 3*k, 3*o + 5*k = 49. Suppose 0 = 12*i - 17*i + 20. Suppose i*w + 11 = 5*w. What is the least common multiple of o and w? 143 Let c be 3/((-1560)/(-16031)) - (-2)/(-13). Let d = c - 174/5. Find the common denominator of d and 32/5. 40 Let h = -13035711/700 - -130356/7. What is the common denominator of 4/1225 and h? 4900 Suppose 2*c = -4*l + 1262, -3*l + 409 = 4*c - 535. What is the common denominator of 35/4 and 1/(9/(-6)) - l/24? 12 Let p = -6824/1105 - -89/13. Let r = 757/5 + -283/2. Calculate the common denominator of r and p. 170 Suppose 113 = 4*b + 33. Let v(w) = w**3 + 11*w**2 + 8*w - 4. Suppose 3*k = 7*k + 40. Calculate the lowest common multiple of b and v(k). 80 Let m(j) = 602*j + 403. Calculate the lowest common multiple of 18 and m(4). 16866 Calculate the common denominator of 30/(-66)*23/115 and (6/5)/((-657)/(-270)). 803 Suppose -18*m - 119 = -677. Suppose 13*t = m*t - 216. Calculate the smallest common multiple of t and 284. 852 Let p(d) = 1409*d + 5671. What is the lowest common multiple of 301
{ "pile_set_name": "DM Mathematics" }
Calculate 2618733 divided by -31551. -83 -2751434 divided by -298 9233 What is -29590770 divided by 269007? -110 Calculate -92298480 divided by 6. -15383080 Calculate -179093664 divided by -36. 4974824 13699722 divided by -6849861 -2 What is 10126288 divided by 2531572? 4 Divide 462110226 by 154036742. 3 Divide -502748405 by -5. 100549681 What is -774484032 divided by -9220048? 84 Divide -8639484 by -42. 205702 Calculate 45845516 divided by 226958. 202 Divide -128427 by 7. -128427/7 Calculate -6195 divided by -20687. 6195/20687 Divide 29973652 by -6. -14986826/3 What is -48598 divided by -135? 48598/135 63781851 divided by 5 63781851/5 Divide 4 by -139253221. -4/139253221 What is -24 divided by -4827448? 3/603431 What is 533668720 divided by -20? -26683436 Divide 4207266 by 7. 601038 What is 645 divided by 308978? 645/308978 385 divided by 29174 385/29174 2 divided by 56803498 1/28401749 Divide -259193 by -259193. 1 What is 17159202 divided by -5719734? -3 Divide -43919886 by 81033. -542 Calculate 130503400 divided by -6100. -21394 Divide -5 by -6164056. 5/6164056 Calculate 9945672 divided by -44. -226038 27591 divided by 2396 27591/2396 Divide -122566932 by 36609. -3348 Calculate 474316086 divided by -6. -79052681 -13 divided by 161218569 -13/161218569 Calculate 3639739 divided by -24. -3639739/24 What is 2313 divided by 2050? 2313/2050 Divide -2 by 49918503. -2/49918503 Calculate -271128300 divided by 50. -5422566 235003476 divided by 1159 202764 Divide -43638 by -198. 7273/33 337 divided by 116985 337/116985 Calculate 130 divided by 1016382. 65/508191 -47969959 divided by -1 47969959 What is 227 divided by -1887? -227/1887 -2973666 divided by -991222 3 -151603 divided by 246 -151603/246 -6904320 divided by 10 -690432 Calculate -1726064 divided by 115. -1726064/115 What is -6 divided by 11990014? -3/5995007 -121 divided by 6545 -11/595 Divide 24541848 by -3. -8180616 541533685 divided by 7627235 71 Calculate -21 divided by -16961. 3/2423 What is -5 divided by -1020266? 5/1020266 4414536 divided by 2766 1596 Divide -5 by 1067355. -1/213471 82624 divided by -94 -41312/47 What is -25768658 divided by -2? 12884329 Divide 13912 by -3002. -6956/1501 What is 14895 divided by -1898? -14895/1898 Divide -36 by 11755. -36/11755 What is 256199256 divided by 21349938? 12 -113575005 divided by 5 -22715001 Calculate -235 divided by -24068. 235/24068 What is -24604358 divided by 146? -168523 Calculate 7815430 divided by -10. -781543 Calculate 5389704 divided by -12. -449142 Divide -13771319 by 5. -13771319/5 Divide -5021650 by -502165. 10 Divide 15353924 by 1. 15353924 Divide -36 by 5268298. -18/2634149 Calculate -2189 divided by -102613. 2189/102613 Calculate -199 divided by 625733. -199/625733 Divide 30 by -112097. -30/112097 Calculate 2614248 divided by -36. -72618 What is 61749905 divided by -649999? -95 Calculate -691284 divided by 201. -230428/67 Calculate -71530896 divided by 123. -581552 -153590343 divided by 3 -51196781 Calculate -33789000 divided by 105. -321800 -2461187035 divided by -5 492237407 7 divided by 543881 7/543881 Divide 154922 by -839. -154922/839 5145365 divided by -1029073 -5 Calculate -70151344 divided by 304. -230761 Calculate 5495 divided by 39713. 5495/39713 Calculate 6064410 divided by -7755. -782 38532693 divided by -13 -38532693/13 351927 divided by 38 351927/38 -19927188 divided by 54 -369022 Divide 17 by 286390. 17/286390 Calculate 4 divided by 64273775. 4/64273775 6924140 divided by 5 1384828 4 divided by 5090979 4/5090979 Divide 75023 by 237. 75023/237 -879 divided by -175358 879/175358 -182956078 divided by 182956078 -1 Divide -1679 by 169. -1679/169 Calculate 1 divided by 786204. 1/786204 Divide 15591660 by -35. -445476 -46943 divided by -14034 46943/14034 Calculate -22513273 divided by 1. -22513273 Divide -2345 by -110703. 2345/110703 What is -37874952 divided by -4? 9468738 5 divided by -17314991 -5/17314991 What is -51487968 divided by 51487968? -1 Calculate 6670 divided by -100. -667/10 -709905 divided by -15 47327 3676 divided by -11548 -919/2887 Divide -7890002 by -1. 7890002 What is 70430958 divided by -1431? -49218 What is 4862272 divided by -4469? -1088 What is 3 divided by -898059? -1/299353 0 divided by -5827696 0 Divide -28771904 by 4. -7192976 9463650 divided by -6 -1577275 Calculate 12330160 divided by -770635. -16 What is -20211386 divided by -59797? 338 85555002 divided by -4 -42777501/2 What is -21758755 divided by 3715? -5857 Calculate -15418377 divided by 3627. -4251 Calculate -12489 divided by -188. 12489/188 Divide -58 by -53445. 58/53445 What is 607 divided by -1148159? -607/1148159 What is 85467318 divided by -11262? -7589 What is -166878 divided by 133? -166878/133 0 divided by -1230572 0 What is 121799745 divided by 212565? 573 15136110 divided by -18 -840895 Calculate -314520012 divided by 6. -52420002 What is -4 divided by -43981? 4/43981 Calculate 1298000 divided by 154. 59000/7 2 divided by 2589367 2/2589367 Calculate -5646544 divided by 1. -5646544 What is 213810376 divided by 537212? 398 920521668 divided by -230130417 -4 Calculate 0 divided by -1521372. 0 -24111820 divided by 2 -12055910 What is -1707760 divided by -17? 1707760/17 Divide 210403690 by -220318. -955 Calculate -8448 divided by -256. 33 What is 5882982 divided by 140071? 42 What is -919959128 divided by -229989782? 4 Divide -23739 by -451. 579/11 What is -16986892 divided by 6? -8493446/3 What is -119084420 divided by 13? -9160340 Calculate 4391620 divided by 20. 219581 -1305681 divided by 290 -1305681/290 Calculate 29604357 divided by 39631. 747 Divide -81621557 by 81621557. -1 Calculate 210830 divided by -13. -210830/13 94108 divided by -15 -94108/15 Calculate -771184530 divided by -2. 385592265 Calculate 350 divided by 6043. 350/6043 Divide -50176 by 1038. -25088/519 -190 divided by -33530 19/3353 Divide 4 by 11406459. 4/11406459 Divide -279045 by -172. 279045/172 What is 3459 divided by 7710? 1153/2570 -50710163 divided by 1 -50710163 Calculate 1145 divided by 5069. 1145/5069 -4 divided by 8451297 -4/8451297 Calculate -105311896 divided by 1. -105311896 Calculate -898 divided by 18. -449/9 Divide -78 by -14847. 26/4949 Divide -2361864 by -16. 295233/2 Divide 10969 by 8716. 10969/8716 Calculate -11655108 divided by -18. 647506 -2 divided by 27252480 -1/13626240 Divide -43 by 99090. -43/99090 Divide 64191442 by -7. -9170206 595179036 divided by -4 -148794759 What is -2032 divided by 93716? -508/23429 Divide 114661890 by -1665. -68866 What is -476304460 divided by -1? 476304460 Divide -4882 by 479. -4882/479 What is -3331219 divided by -41? 3331219/41 What is 502 divided by -158660? -251/79330 Calculate 36634944 divided by -48. -763228 Calculate 2141702 divided by -64. -1070851/32 Calculate -2112 divided by -3268. 528/817 Calculate -130024906 divided by -121. 1074586 Divide 10 by 3358534. 5/1679267 95147550 divided by 1450 65619 Calculate -1691810732 divided by -4. 422952683 -89587 divided by 957 -89587/957 Divide 54613 by 16. 54613/16 Divide -4462 by 4472. -2231/2236 Calculate -24929080 divided by -2492908. 10 Divide -4492141407 by 3. -1497380469 Divide 1109634 by -12. -184939/2 Calculate -2925131 divided by -11. 265921 -55135262 divided by 7876466 -7 Divide -1406462 by -4. 703231/2 -9521268 divided by 101 -9521268/101 Calculate -619959799 divided by 5. -619959799/5 What is -6091 divided by -1031? 6091/1031 Divide -2143068 by 2143068. -1 What is 114254 divided by -79? -114254/79 What is 111238325 divided by -6? -111238325/6 Divide -85107788 by -42553894. 2 What is -285914 divided by 176? -142957/88 -43406264 divided by 3784 -11471 Divide 18 by 1430857. 18/1430857 193977656 divided by -916 -211766 Calculate -2382 divided by 807. -794/269 -75 divided by 3302489 -75/3302489 -1900 divided by 19124 -475/4781 Divide 13064784 by -3. -4354928 Calculate -1515437 divided by -20. 1515437/20 Calculate -7503456 divided by -94. 79824 Calculate 371741364 divided by 7092. 52417 Calculate 100790148 divided by 3. 33596716 174550656 divided by -14545888 -12 Divide -670778 by 26. -335389/13 Calculate 143851077 divided by -47950359. -3 -3994 divided by 14831 -3994/14831 What is -122271494 divided by 61135747? -2 Calculate 9599 divided by
{ "pile_set_name": "DM Mathematics" }
36*p**2 + 4*p wrt p. -72 Let y = -5 - -10. Find the first derivative of 4 - 3 - y*a + 4 wrt a. -5 Let p(w) = 5*w**3 - 7*w**2 + 19*w + 7. Let z(m) = 3*m**3 - 5*m**2 + 13*m + 5. Let u(r) = 5*p(r) - 7*z(r). Find the second derivative of u(i) wrt i. 24*i What is the third derivative of 3*p**6 + 0*p**4 + 0*p**4 + 7*p**2 wrt p? 360*p**3 Suppose -a + 0*a + 14 = 0. Let c = a - 10. Find the third derivative of -y**4 - 2*y**2 + 0*y**c + 0*y**2 wrt y. -24*y Let z(s) be the third derivative of 5*s**4/12 + s**3/2 + 13*s**2. Differentiate z(u) with respect to u. 10 Let u(s) = -5*s + 11. Let d(t) = t. Let y(m) = -4*d(m) - u(m). Differentiate y(l) with respect to l. 1 Let n(t) = 8*t**2 - 2*t - 3. Let c be n(-2). What is the third derivative of 33 + 4*h**2 + 5*h**5 - 2*h**2 - c wrt h? 300*h**2 Let g(s) = -6*s**3 - 3*s**2 - 3*s + 1. Let k(h) = h**3 + h**2 + h. Let u(q) = g(q) + 3*k(q). Differentiate u(r) with respect to r. -9*r**2 Let t(a) be the first derivative of -14*a**2 + 7*a - 24. Find the first derivative of t(o) wrt o. -28 Suppose -4*y = -5*y - 2. Let k = 4 + y. Find the third derivative of -r**3 - 2*r**k + 0*r**2 + 3*r**3 wrt r. 12 Let t = -8 + 10. Find the second derivative of 3*k**2 + 8*k - k - 3*k - 2*k**t wrt k. 2 Let j(r) = 3*r - 2*r + 0 - 3. Let t(v) = -v + 1. Let s(c) = -2*j(c) - 4*t(c). Find the first derivative of s(x) wrt x. 2 Suppose -3*f + 5*l + 16 = -13, -2*f + 26 = -5*l. Let u = 4 - 2. Find the second derivative of -2*y**3 - u*y + y**f - y**3 + y**3 wrt y. -6*y Let v(a) be the third derivative of a**9/15120 - a**6/360 - a**4/24 - a**2. Let l(c) be the second derivative of v(c). Find the second derivative of l(y) wrt y. 12*y**2 Find the third derivative of -60*r + 60*r + 29*r**2 + 12*r**4 + 3*r**4 wrt r. 360*r Let m(q) be the first derivative of -3*q**2/2 + 3*q + 2. Find the first derivative of m(f) wrt f. -3 What is the third derivative of 0*w**6 - 5*w**2 + 4*w**6 - w**2 + 3*w**2 wrt w? 480*w**3 Let k(w) = -6*w**3 + w**2 + w. Let v be k(-1). Suppose 2*p = 4*p - v. What is the second derivative of 3*f + p*f**4 - 3*f**4 - 2*f**4 wrt f? -24*f**2 Suppose -5*w + 4*g + 5 = -2, -5 = -3*w + 2*g. Let l(s) = s**2 + s + 2. Let n be l(0). Differentiate -n*d**3 + 12*d**4 - 14*d**4 + 2*d**w + 3 wrt d. -8*d**3 Let b(h) be the first derivative of -2 + h**3 + 0*h**2 + 0*h + 3/4*h**4. What is the third derivative of b(r) wrt r? 18 Let y(f) = 53*f**4 + 13*f. Let c(r) = 13*r**4 + 3*r. Let x(z) = -18*c(z) + 4*y(z). Find the second derivative of x(t) wrt t. -264*t**2 Let f(g) = 14*g**3 - 7*g**2 - 21*g + 21. Let h(u) = -u**3 + u**2 + u - 1. Let a(s) = 2*f(s) + 42*h(s). What is the third derivative of a(v) wrt v? -84 Let u(k) be the first derivative of -k**6/2 + 9*k**2/2 + 14. Find the second derivative of u(w) wrt w. -60*w**3 Let h(a) = -a**3 + 9*a**2 - a - 9. Let q be h(9). Let r be (-32)/q + 2/9. Differentiate -2*w**2 + w**2 + 2*w**r - 1 - 1 with respect to w. 2*w Let g(x) be the first derivative of -41*x**7/7 - x**6/3 - 2*x**3/3 + 7*x**2/2 - 1. Find the third derivative of g(q) wrt q. -4920*q**3 - 120*q**2 Suppose 2*z = 4*z - 12. Let f = z - 4. What is the second derivative of -4*d**2 + d**f - d + 2*d**2 wrt d? -2 Let r(k) be the second derivative of -5/2*k**2 - 1/5*k**5 + 0*k**3 + 2*k + 0*k**4 + 0. Differentiate r(v) with respect to v. -12*v**2 Let m(b) be the second derivative of -9*b**5/10 - 53*b**4/12 - 56*b. Find the third derivative of m(l) wrt l. -108 Let g be (1 + -2)/(-1) + 1. Differentiate -g*k**4 - k**2 - 4 + 3 + k**2 wrt k. -8*k**3 Let x be (-3)/(-3) - 19/(-1). Suppose x = 3*o + 5. What is the third derivative of o*r - 4*r**5 - 5*r + 3*r**5 + 3*r**2 wrt r? -60*r**2 What is the third derivative of 4*s - 4*s - 8*s**2 + 8*s**3 wrt s? 48 Suppose 3*f = 5*u - 6, -2*u + 3*f + 2 = 2*f. Let t = 1 + u. Differentiate -y**3 - y**4 - t + y**3 with respect to y. -4*y**3 Let c = 13 + -7. Find the third derivative of 0*t**4 + c*t**4 - 5*t**2 - t**2 wrt t. 144*t Suppose 5*s + 3*o = 21, -4*s = -6*s + 5*o - 4. What is the second derivative of -5*g**s - g**3 - 2*g + 8*g**3 wrt g? 12*g Let f(w) = -2*w + 4. Let k be f(-3). Let d = k + -6. Find the third derivative of -4*m**2 - d + 3 + m**6 + 1 wrt m. 120*m**3 Suppose -5*y = -4*t + 7*t - 20, -4*t + 24 = 4*y. Suppose -y = -z + 1. Find the first derivative of z - 5 + 2*n**2 + 2 wrt n. 4*n Let v(j) be the first derivative of -3*j**2/2 + 8*j + 3. Find the first derivative of v(b) wrt b. -3 Let y be (-1 + 3)/(-1)*-2. Suppose 0 = 4*p - 7*p - 2*r + 3, 5*p - 5 = 2*r. Find the first derivative of -4*m**y - 2 - p + m**4 wrt m. -12*m**3 Let t(y) be the third derivative of 0*y**5 - 5/336*y**8 - y**2 + 0*y**3 + 0*y**7 + 0*y**6 + 0*y + 0 + 1/6*y**4. Find the second derivative of t(f) wrt f. -100*f**3 Suppose 0 = -2*l, -5*c + c = l - 12. Suppose -x = -3*w + 8, 2*x + c*x - 4 = 4*w. What is the third derivative of 4*h**4 - 2*h**4 - 6*h**4 - h**2 + 3*h**x wrt h? -24*h Let h(p) be the third derivative of p**6/30 + 13*p**3/3 + 9*p**2. What is the first derivative of h(y) wrt y? 12*y**2 Let b(k) = k**2 + 3*k - 5. Let s be b(-5). Suppose -3*o = -2*n - 7, -5*n = s*o - o - 17. What is the second derivative of o*a - 3*a**4 + 10*a - 10*a wrt a? -36*a**2 Let t(f) be the third derivative of -f**4/24 - f**3 + 3*f**2. Let x be t(-9). What is the derivative of -3*j**x + 4 + 0 - j**3 wrt j? -12*j**2 Let m(r) be the first derivative of -6*r**5/5 + 13*r**2/2 + 5. Find the second derivative of m(o) wrt o. -72*o**2 What is the third derivative of 0*j**2 - 3 - j**2 + 10*j**6 + 13*j**6 + 2*j**6 wrt j? 3000*j**3 Suppose 3*g - 11 = 2*g. Suppose -2*i + g = 3. Find the third derivative of -2*w**6 + w**2 + w**2 + i*w**6 wrt w. 240*w**3 Let v(l) = -l**4 + l**3 + l**2 - l. Let n(w) = 11*w**4 - 2*w**3 - 2*w**2 - 3*w. Let d(b) = n(b) + 2*v(b). Find the second derivative of d(j) wrt j. 108*j**2 What is the second derivative of -5*j + 0*j - 9*j**4 - 3*j + 2*j wrt j? -108*j**2 Let a(x) be the first derivative of -x**5/20 + 3*x**3/2 + 9*x + 4. Let m(h) be the first derivative of a(h). Find the second derivative of m(u) wrt u. -6*u What is the third derivative of -653*j**4 + 8*j**2 + 653*j**4 - 3*j**5 wrt j? -180*j**2 Suppose 11 = 4*s + 3. Let l(d) be the first derivative of d**s - 2*d**3 - 6 + 0*d**3 + 3*d**3 + 3. What is the second derivative of l(o) wrt o? 6 Let q(t) = -9*t**3 - 18*t**2 + 18*t + 24. Let p(d) = d**3 + d**2 - d - 1. Let m(c) = -18*p(c) - q(c). What is the first derivative of m(g) wrt g? -27*g**2 Let b(i) be the second derivative of 0 - 5/2*i**2 - i - 2/3*i**3. What is the first derivative of b(r) wrt r? -4 Let b(v) = 8*v + 24. Let y(o) = 9*o + 24. Let r(l) = 4*b(l) - 3*y(l). What is the derivative of r(s) wrt s? 5 Let p(j) = 2 + 4 - 3 + 3*j. Let a(i) = 5*i**2 - 6*i**2 + 3*i**3 + 1 - 4*i**3 + i. Let u(c) = -3*a(c) + p(c). Find the third derivative of u(l) wrt l. 18 Suppose 0 = 2*x - w - 8, 0 = 2*x + 2*x - 5*w - 28. Find the first derivative of -4 + 3 + 3*n**3 - x wrt n. 9*n**2 Let k(q) be the second derivative of -q**4/12 + 10*q**2 - 20*q. Differentiate k(a) with respect to a. -2*a What is the third derivative of -m**2 - 9*m**2 + 0*m**4 - 2*m**4 + 28*m**4 wrt m? 624*m Let q(i) be the second derivative of -13*i**5/20 - 10*i**3/3 + 10*i. What is the second derivative of q(l) wrt l? -78*l Let j = -12 - -17. Let a(g) be the first derivative of -2 + 0*g**3 + g**2 + 1/3*g**6 + 0*g**4 + 0*g**j + 0*g. Find the second derivative of a(u) wrt u. 40*u**3 Find the second derivative of -x**5 - 6*x - 2*x**5 + 10*x wrt x. -60*x**3 Let c = -28 - -47. Let j = 40 - c. Find the third derivative of t**2 + 3*t**4 + j - 21 wrt t. 72*t Find the second derivative of 0*q**2 - 5*q**2 + 5*q**2 - 5*q - 31*q**3 wrt q. -186*q Let d(y) = 22*y**2 + 18*y - 3. Let r(u) = u**2 + u + 1. Let t(x) = d(x) + 3*r(x). What is the second derivative of t(n) wrt n? 50 Let j(z) = z**3 + 2*z**2 + 9. Let i(t) = 3*t**3 + 5*t**2 + 19. Let x(y) = -2*i(y) + 5*j(y). Differentiate x(d) wrt d. -3*d**2 What is the derivative of 4*b - 223 - 6*b + 19*b**2 + 238 wrt b? 38*b - 2 Let i(j) be the second derivative of -7*j**6/30 - 13*j**2/2 + j. What is the first derivative of i(x) wrt x? -28*x**3 Find the first derivative of 35*i**4 - 17 + 22 - 41 wrt i. 140*i**3 Let j(t) = -3*t**3 - 26*t**2 - 3. Let n(r) = r*
{ "pile_set_name": "DM Mathematics" }
34375 How many microseconds are there in 83519.79 days? 7216109856000000 What is 30241.94um in meters? 0.03024194 Convert 83.13183 centuries to years. 8313.183 How many seconds are there in seven fifteenths of a day? 40320 What is seven eighths of a meter in millimeters? 875 Convert 5408.84cm to millimeters. 54088.4 What is 3/40 of a millimeter in micrometers? 75 How many micrometers are there in 34/5 of a millimeter? 6800 How many millimeters are there in 60431.13km? 60431130000 How many centuries are there in 7/2 of a millennium? 35 What is one fifth of a tonne in kilograms? 200 How many minutes are there in 5/8 of a day? 900 Convert 3221.444 centuries to decades. 32214.44 What is 5/8 of a litre in millilitres? 625 Convert 0.6982051t to milligrams. 698205100 How many millilitres are there in three fifths of a litre? 600 How many nanometers are there in 41/2 of a micrometer? 20500 Convert 2907.694 millennia to months. 34892328 How many milligrams are there in 0.474086 nanograms? 0.000000474086 Convert 513.8485mg to grams. 0.5138485 Convert 8609.385us to minutes. 0.00014348975 What is 3/8 of a day in seconds? 32400 What is eleven tenths of a tonne in kilograms? 1100 What is 1391846.1ns in minutes? 0.000023197435 How many millilitres are there in 1/4 of a litre? 250 What is 6/5 of a litre in millilitres? 1200 How many micrometers are there in 9/10 of a centimeter? 9000 How many micrometers are there in 7/2 of a centimeter? 35000 What is 5/8 of a millennium in months? 7500 What is 17/7 of a week in minutes? 24480 Convert 303785.7 meters to kilometers. 303.7857 How many milligrams are there in 187.115g? 187115 What is 4/3 of a hour in seconds? 4800 How many kilograms are there in 45/8 of a tonne? 5625 What is 863.6944 minutes in milliseconds? 51821664 Convert 719773.8 years to decades. 71977.38 How many nanoseconds are there in 1/4 of a microsecond? 250 How many kilograms are there in 0.4731893ug? 0.0000000004731893 Convert 64556.64 years to millennia. 64.55664 How many meters are there in 65.86149nm? 0.00000006586149 What is 295.277 microseconds in milliseconds? 0.295277 What is 95997.14 milligrams in grams? 95.99714 Convert 97698.06 millennia to decades. 9769806 What is seventeen halves of a day in hours? 204 How many centuries are there in 49.40076 decades? 4.940076 Convert 5565.214 weeks to days. 38956.498 What is 1/4 of a day in minutes? 360 Convert 11306.73nm to micrometers. 11.30673 How many days are there in 881.8226 weeks? 6172.7582 What is 59163.51 meters in nanometers? 59163510000000 How many microseconds are there in 882.9999 weeks? 534038339520000 How many months are there in seven halves of a millennium? 42000 What is 18/5 of a microgram in nanograms? 3600 How many microseconds are there in three eighths of a millisecond? 375 Convert 54.12871 litres to millilitres. 54128.71 How many minutes are there in 3/56 of a week? 540 How many seconds are there in 1/10 of a week? 60480 What is 3/40 of a litre in millilitres? 75 Convert 153388.41 months to centuries. 127.823675 What is 13.4654 decades in centuries? 1.34654 How many kilograms are there in 981.8943ug? 0.0000009818943 What is 6/5 of a kilogram in grams? 1200 What is 3/10 of a meter in centimeters? 30 How many nanometers are there in twenty-five quarters of a micrometer? 6250 How many millilitres are there in 17/2 of a litre? 8500 What is thirty-two fifths of a millimeter in micrometers? 6400 What is fourty-five halves of a milligram in micrograms? 22500 How many milliseconds are there in 46/5 of a second? 9200 Convert 2.5069395 months to years. 0.208911625 What is 1.856477 litres in millilitres? 1856.477 What is 361619.6 millilitres in litres? 361.6196 What is three fifths of a kilometer in centimeters? 60000 How many months are there in three sixteenths of a century? 225 How many seconds are there in 3/32 of a day? 8100 How many millimeters are there in 0.6167837km? 616783.7 What is 18/5 of a kilogram in grams? 3600 What is 17/4 of a century in years? 425 What is 2/15 of a century in months? 160 How many months are there in 18/5 of a millennium? 43200 What is 1/4 of a meter in millimeters? 250 What is 12/25 of a centimeter in micrometers? 4800 What is eleven quarters of a milligram in micrograms? 2750 What is four thirds of a day in hours? 32 How many minutes are there in 21/5 of a week? 42336 How many micrograms are there in 32/5 of a milligram? 6400 Convert 4818.081 kilograms to milligrams. 4818081000 How many years are there in one quarter of a century? 25 How many years are there in 41/2 of a millennium? 20500 What is 27/2 of a decade in months? 1620 Convert 97088.89 decades to millennia. 970.8889 What is three tenths of a micrometer in nanometers? 300 How many millennia are there in 3367.752 years? 3.367752 Convert 62325.41g to milligrams. 62325410 What is 51/5 of a milligram in micrograms? 10200 How many micrometers are there in 12/25 of a centimeter? 4800 How many months are there in 6/25 of a century? 288 How many millilitres are there in seven eighths of a litre? 875 How many micrometers are there in 3/25 of a millimeter? 120 What is three eighths of a litre in millilitres? 375 What is 55949.2ug in grams? 0.0559492 How many litres are there in 0.1196449 millilitres? 0.0001196449 Convert 4559.563 millennia to months. 54714756 Convert 10853.301 months to years. 904.44175 What is five quarters of a millennium in years? 1250 What is thirty-one fifths of a century in decades? 62 Convert 6809.613 milligrams to kilograms. 0.006809613 How many months are there in five sixths of a millennium? 10000 How many microseconds are there in three eighths of a millisecond? 375 Convert 0.768376 years to decades. 0.0768376 How many milliseconds are there in 6/5 of a second? 1200 How many kilometers are there in 247.736m? 0.247736 How many years are there in 3/5 of a millennium? 600 What is 737.096 kilograms in micrograms? 737096000000 What is 7294.723 hours in seconds? 26261002.8 How many years are there in 3.15969 centuries? 315.969 Convert 37.26481s to nanoseconds. 37264810000 What is fourty-three thirds of a year in months? 172 How many nanograms are there in 23517.21 grams? 23517210000000 How many millilitres are there in eleven halves of a litre? 5500 What is twenty-one eighths of a kilometer in meters? 2625 What is 5/4 of a kilogram in grams? 1250 Convert 8.683578kg to micrograms. 8683578000 How many millimeters are there in 3/8 of a meter? 375 Convert 0.7433799ms to microseconds. 743.3799 What is 9111.331ms in nanoseconds? 9111331000 What is twenty-one quarters of a day in hours? 126 What is eleven tenths of a millennium in years? 1100 How many days are there in 56.664657 minutes? 0.03935045625 What is 72352.56cm in millimeters? 723525.6 What is 1/4 of a week in minutes? 2520 What is 34/5 of a century in decades? 68 What is 0.325483ug in milligrams? 0.000325483 Convert 156.3778 litres to millilitres. 156377.8 What is 5/6 of a century in months? 1000 What is 350795.3 millilitres in litres? 350.7953 What is 1/18 of a hour in seconds? 200 How many micrometers are there in seven eighths of a millimeter? 875 Convert 0.3410442 minutes to hours. 0.00568407 How many millilitres are there in thirty-two fifths of a litre? 6400 How many kilograms are there in 0.1990844t? 199.0844 How many litres are there in 498.8662 millilitres? 0.4988662 Convert 0.7698752 nanometers to meters. 0.0000000007698752 How many millilitres are there in 2.089863 litres? 2089.863 What is 29/5 of a week in minutes? 58464 How many micrometers are there in 0.3003749km? 300374900 What is 87/2 of a century in months? 52200 How many years are there in 547387.5 decades? 5473875 Convert 8472.67 litres to millilitres. 8472670 What is 32.19848ng in tonnes? 0.00000000000003219848 How many millilitres are there in one quarter of a litre? 250 What is one twentieth of a litre in millilitres? 50 What is 55.1084 litres in millilitres? 55108.4 How many litres are there in 720129.7 millilitres? 720.1297 What is 101.898888 hours in weeks? 0.606541 What is one ninth of a hour in seconds? 400 How many micrograms are there in 3/10 of a milligram? 300 Convert 1.805249m to nanometers. 1805249000 How many millilitres are there in 3/40 of
{ "pile_set_name": "DM Mathematics" }
the n'th term of -173, -282, -383, -470, -537? n**3 - 2*n**2 - 110*n - 62 What is the i'th term of -2469, -2468, -2469, -2472, -2477, -2484? -i**2 + 4*i - 2472 What is the k'th term of -18, -24, -32, -42, -54, -68, -84? -k**2 - 3*k - 14 What is the f'th term of 56, 46, 14, -52, -164, -334, -574, -896? -2*f**3 + f**2 + f + 56 What is the p'th term of 591, 612, 655, 732, 855? 2*p**3 - p**2 + 10*p + 580 What is the b'th term of -47, -51, -59, -71, -87? -2*b**2 + 2*b - 47 What is the f'th term of 876, 1762, 2646, 3528, 4408, 5286, 6162? -f**2 + 889*f - 12 What is the y'th term of -11, -31, -57, -89, -127, -171, -221? -3*y**2 - 11*y + 3 What is the w'th term of 7, -4, -37, -104, -217? -2*w**3 + w**2 + 8 What is the i'th term of -160, -172, -198, -244, -316? -i**3 - i**2 - 2*i - 156 What is the d'th term of 7531, 7534, 7537, 7540, 7543? 3*d + 7528 What is the t'th term of -327, -386, -445? -59*t - 268 What is the g'th term of 32, 122, 272, 482, 752, 1082? 30*g**2 + 2 What is the t'th term of 2, 0, -2? -2*t + 4 What is the q'th term of -166, -628, -1406, -2506, -3934? -q**3 - 152*q**2 + q - 14 What is the j'th term of 2153, 4311, 6469, 8627, 10785? 2158*j - 5 What is the j'th term of -19, -33, -47, -61, -75? -14*j - 5 What is the g'th term of 0, -25, -82, -183, -340? -2*g**3 - 4*g**2 + g + 5 What is the n'th term of 130, 138, 150, 166, 186, 210? 2*n**2 + 2*n + 126 What is the m'th term of 91, 95, 103, 115, 131? 2*m**2 - 2*m + 91 What is the k'th term of -1, -3, -5, -7? -2*k + 1 What is the g'th term of 2276, 2278, 2280, 2282, 2284, 2286? 2*g + 2274 What is the u'th term of -12, -26, -38, -42, -32? u**3 - 5*u**2 - 6*u - 2 What is the f'th term of 30, 22, 0, -42, -110? -f**3 - f**2 + 2*f + 30 What is the n'th term of 101, 67, 11, -67, -167, -289? -11*n**2 - n + 113 What is the f'th term of 121, 116, 109, 100, 89? -f**2 - 2*f + 124 What is the b'th term of 1155, 4610, 10367, 18426, 28787, 41450, 56415? 1151*b**2 + 2*b + 2 What is the j'th term of -4, -36, -78, -136, -216? -j**3 + j**2 - 28*j + 24 What is the l'th term of 53, 113, 175, 233, 281, 313? -l**3 + 7*l**2 + 46*l + 1 What is the b'th term of -80, -121, -198, -329, -532, -825, -1226? -3*b**3 - 20*b - 57 What is the i'th term of 2, 17, 44, 83, 134, 197, 272? 6*i**2 - 3*i - 1 What is the y'th term of 174, 166, 168, 186, 226? y**3 - y**2 - 12*y + 186 What is the t'th term of 43, 49, 45, 25, -17, -87? -t**3 + t**2 + 10*t + 33 What is the p'th term of 78, 39, -30, -135, -282? -p**3 - 9*p**2 - 5*p + 93 What is the n'th term of 6, 18, 32, 48, 66, 86, 108? n**2 + 9*n - 4 What is the y'th term of 4, -13, -50, -107, -184? -10*y**2 + 13*y + 1 What is the g'th term of -86, -79, -72, -65? 7*g - 93 What is the q'th term of -337, -673, -1009, -1345, -1681? -336*q - 1 What is the m'th term of 4423, 8843, 13263? 4420*m + 3 What is the h'th term of 337, 326, 315, 304, 293, 282? -11*h + 348 What is the a'th term of -26, -47, -68, -89? -21*a - 5 What is the p'th term of -120, -535, -1240, -2241, -3544? -p**3 - 139*p**2 + 9*p + 11 What is the b'th term of 993, 985, 975, 963? -b**2 - 5*b + 999 What is the u'th term of 43, 91, 139, 187, 235? 48*u - 5 What is the t'th term of -14, -115, -292, -551, -898? -t**3 - 32*t**2 + 2*t + 17 What is the a'th term of -1945, -1943, -1941, -1939? 2*a - 1947 What is the s'th term of -512, -509, -504, -497? s**2 - 513 What is the u'th term of -133, -287, -429, -553, -653, -723, -757? u**3 - 161*u + 27 What is the y'th term of -28, -50, -72? -22*y - 6 What is the m'th term of 78, 103, 136, 171, 202, 223, 228, 211? -m**3 + 10*m**2 + 2*m + 67 What is the v'th term of -24, -66, -122, -198, -300, -434, -606, -822? -v**3 - v**2 - 32*v + 10 What is the h'th term of -28, -52, -84, -124? -4*h**2 - 12*h - 12 What is the b'th term of -6, -25, -70, -153, -286, -481, -750? -2*b**3 - b**2 - 2*b - 1 What is the g'th term of 282, 286, 290, 294? 4*g + 278 What is the t'th term of 9, 22, 73, 180, 361? 3*t**3 + t**2 - 11*t + 16 What is the d'th term of -58, -35, -16, -1, 10, 17, 20? -2*d**2 + 29*d - 85 What is the f'th term of 682, 661, 626, 571, 490? -f**3 - f**2 - 11*f + 695 What is the i'th term of 111, 222, 331, 438? -i**2 + 114*i - 2 What is the i'th term of -135, -269, -403, -537? -134*i - 1 What is the i'th term of 204, 763, 1674, 2937, 4552, 6519, 8838? 176*i**2 + 31*i - 3 What is the l'th term of -257, -275, -293, -311, -329? -18*l - 239 What is the d'th term of 1498, 1501, 1516, 1549, 1606, 1693, 1816, 1981? d**3 - 4*d + 1501 What is the k'th term of 467, 972, 1477, 1982, 2487, 2992? 505*k - 38 What is the t'th term of -6, 3, 22, 57, 114? t**3 - t**2 + 5*t - 11 What is the i'th term of -18, -82, -146, -210, -274, -338? -64*i + 46 What is the i'th term of 838, 3370, 7596, 13522, 21154, 30498? i**3 + 841*i**2 + 2*i - 6 What is the i'th term of 452, 904, 1358, 1814, 2272? i**2 + 449*i + 2 What is the s'th term of 288, 275, 248, 201, 128, 23? -s**3 - s**2 - 3*s + 293 What is the h'th term of 20599, 20597, 20595, 20593? -2*h + 20601 What is the g'th term of -5, -26, -51, -80, -113, -150? -2*g**2 - 15*g + 12 What is the m'th term of -63, -308, -729, -1320, -2075, -2988? m**3 - 94*m**2 + 30*m What is the m'th term of 5, 11, 1, -31, -91, -185, -319, -499? -m**3 - 2*m**2 + 19*m - 11 What is the v'th term of -36, -73, -124, -195, -292, -421, -588, -799? -v**3 - v**2 - 27*v - 7 What is the v'th term of -123, -227, -331, -435, -539, -643? -104*v - 19 What is the q'th term of 1, -5, -23, -65, -143, -269, -455? -2*q**3 + 6*q**2 - 10*q + 7 What is the s'th term of 25, 128, 291, 508, 773? -s**3 + 36*s**2 + 2*s - 12 What is the t'th term of 41, 47, 53, 59? 6*t + 35 What is the m'th term of 295, 1272, 2905, 5200, 8163, 11800, 16117? m**3 + 322*m**2 + 4*m - 32 What is the c'th term of -92, -82, -48, 22, 140, 318? 2*c**3 - 4*c - 90 What is the l'th term of -22049, -22052, -22055, -22058, -22061? -3*l - 22046 What is the f'th term of -92, -354, -788, -1394, -2172? -86*f**2 - 4*f - 2 What is the n'th term of 33, 53, 55, 33, -19, -107, -237, -415? -n**3 - 3*n**2 + 36*n + 1 What is the x'th term of 509, 1016, 1523, 2030, 2537, 3044? 507*x + 2 What is the i'th term of -58, -111, -164, -217, -270? -53*i - 5 What is the u'th term of 1, -1, -3, -5? -2*u + 3 What is the u'th term of 36, 26, -22, -132, -328? -4*u**3 + 5*u**2 + 3*u + 32 What is the i'th term of -36, -57, -64, -51, -12? i**3 + i**2 - 31*i - 7 What is the h'th term of 154, 147, 130, 97, 42, -41? -h**3 + h**2 - 3*h + 157 What is the g'th term of -408, -407, -406, -405, -404? g - 409 What is the g'th term of -61, -72, -87, -106? -2*g**2 - 5*g - 54 What is the b'th term of 391, 399, 413, 433, 459, 491, 529? 3*b**2 - b + 389 What is the f'th term of -106, -179, -252, -325? -73*f - 33 What is the z'th term of 46, 19, -18, -59, -98, -129, -146? z**3 - 11*z**2 - z + 57 What is the r'th term of -15, -5, 19, 63, 133? r**3 + r**2 - 17 What is the o'th term of -161, -202, -241, -278, -313? o**2 - 44*o - 118 What is the s'th term of 2847, 2846, 2843, 2838, 2831? -s**2 + 2*s + 2846 What is the d'th term of 249, 248, 247, 246, 245? -d + 250 What is the h'th term of -53, -120, -187, -248, -297, -328? h**3 - 6*h**2 - 56*h + 8 What is the d'th term of -564, -557, -548, -537, -524? d**2 + 4*d - 569 What is the p'th term of -2461, -2464, -2469, -2476, -2485, -2496? -p**2 - 2460 What is the v'th term of 295, 303, 313, 325, 339, 355? v**2 + 5*v + 289 What is the n'th term of -58, -225, -504, -895? -56*n**2 + n - 3 What is the r'th term of 268, 277, 284, 283, 268? -r**3 + 5*r**2 + r + 263 What is the m'th term of 317, 315, 313? -2*m + 319 What is the m'th term of 33417, 33416, 33415? -m + 33418 What is the q'th term of -32, -117, -262, -467? -30*q**2 + 5*q - 7 What is the l'th term of 149, 342, 535, 728? 193*l - 44 What is the u'th term of -1, -68, -181, -340, -545, -796, -1093? -23*u**2 + 2*u + 20 What is the d'th term of 105, 831, 2803, 6645, 12981, 22435, 35631? 104*d**3 - d**2 + d + 1 What is the p'th term of 22, 41, 78, 139, 230, 357, 526, 743? p**3 + 3*p**2 + 3*p + 15 What is the o'th term of 243, 257, 303, 399, 563? 3*o**3 - 2*o**2 - o + 243 What is the p'th term of 17, 32, 53, 80, 113? 3*p**2 + 6*p + 8 What is the j'th term of 12853, 12866, 12889, 12928, 12989, 13078,
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence re? 1/14 Three letters picked without replacement from {g: 1, u: 3, z: 4, h: 1, v: 1, j: 6}. What is prob of sequence zhv? 1/840 What is prob of sequence oiuo when four letters picked without replacement from {o: 2, u: 2, i: 1}? 1/30 Two letters picked without replacement from nuikv. What is prob of sequence nv? 1/20 Three letters picked without replacement from dwppddptpptdfpdwdp. What is prob of sequence dwd? 5/408 Four letters picked without replacement from {p: 5, f: 12, o: 1}. What is prob of sequence oppf? 1/306 Calculate prob of sequence yxyy when four letters picked without replacement from {y: 10, x: 2}. 4/33 What is prob of sequence kw when two letters picked without replacement from ddskwuwdsskdss? 2/91 Two letters picked without replacement from {l: 1, m: 3, y: 4}. Give prob of sequence mm. 3/28 Calculate prob of sequence fz when two letters picked without replacement from zfzkzzzzzk. 7/90 Three letters picked without replacement from {n: 2, p: 2, k: 1}. Give prob of sequence pkp. 1/30 What is prob of sequence fffx when four letters picked without replacement from xxfxfxfxxx? 1/120 Calculate prob of sequence nnq when three letters picked without replacement from {c: 3, q: 1, n: 2, v: 1}. 1/105 Calculate prob of sequence qx when two letters picked without replacement from nzxqq. 1/10 Two letters picked without replacement from qtutpqqttttuq. Give prob of sequence qt. 2/13 Three letters picked without replacement from {j: 7, l: 12}. Give prob of sequence jjj. 35/969 Three letters picked without replacement from iizizyiiyiiiiiiiziii. Give prob of sequence yiy. 1/228 Calculate prob of sequence rb when two letters picked without replacement from rrrrrrrbrrrr. 1/12 Calculate prob of sequence bnbb when four letters picked without replacement from {v: 1, n: 4, b: 3}. 1/70 Three letters picked without replacement from {a: 1, q: 1, i: 1, p: 1, w: 1}. What is prob of sequence piw? 1/60 Four letters picked without replacement from {c: 7, g: 2, z: 3, q: 5}. What is prob of sequence zczg? 1/680 Calculate prob of sequence bq when two letters picked without replacement from qygbytm. 1/42 Calculate prob of sequence qooo when four letters picked without replacement from qqdo. 0 Three letters picked without replacement from {c: 1, x: 1, y: 1, k: 1, m: 1}. What is prob of sequence kcm? 1/60 Two letters picked without replacement from {x: 1, t: 2, m: 5, s: 1, l: 4, n: 2}. Give prob of sequence nx. 1/105 Four letters picked without replacement from tujjtjjixtjtytuut. What is prob of sequence iijj? 0 What is prob of sequence qxqq when four letters picked without replacement from xqxqxxxxqx? 1/120 Three letters picked without replacement from eteeeteeeeeeeeteetet. What is prob of sequence ett? 5/114 What is prob of sequence ty when two letters picked without replacement from ranznyynzytynta? 4/105 What is prob of sequence iiv when three letters picked without replacement from iilkivivivli? 3/44 Calculate prob of sequence dzrz when four letters picked without replacement from dzzrozrozrorzrzoror. 35/15504 Two letters picked without replacement from {h: 2, c: 2, f: 4, r: 3}. What is prob of sequence cf? 4/55 Two letters picked without replacement from {e: 1, n: 7, s: 6}. Give prob of sequence ne. 1/26 Two letters picked without replacement from {v: 2, f: 2}. Give prob of sequence vv. 1/6 Two letters picked without replacement from {d: 2, s: 1, a: 2, l: 2, n: 1, v: 1}. What is prob of sequence ll? 1/36 Two letters picked without replacement from cciucccacccacc. Give prob of sequence ai. 1/91 Two letters picked without replacement from {u: 4, c: 4, v: 1, k: 1}. Give prob of sequence kc. 2/45 Three letters picked without replacement from ftdqoqc. What is prob of sequence cqt? 1/105 Two letters picked without replacement from {n: 1, v: 1, x: 3}. Give prob of sequence xv. 3/20 Two letters picked without replacement from {b: 2, q: 1, m: 7, u: 1, v: 3}. What is prob of sequence bm? 1/13 Calculate prob of sequence fe when two letters picked without replacement from feeeeefeee. 8/45 Three letters picked without replacement from {m: 3, v: 3, c: 2}. Give prob of sequence cvm. 3/56 What is prob of sequence ua when two letters picked without replacement from uhouao? 1/15 Two letters picked without replacement from {t: 5, p: 1, g: 2, o: 1}. What is prob of sequence go? 1/36 Two letters picked without replacement from krrrjkjrta. What is prob of sequence at? 1/90 Calculate prob of sequence vb when two letters picked without replacement from {b: 6, v: 5, s: 6, f: 1}. 5/51 Calculate prob of sequence rd when two letters picked without replacement from {r: 3, d: 3}. 3/10 What is prob of sequence qpt when three letters picked without replacement from tppqpttqppppqptp? 9/280 Two letters picked without replacement from {h: 5, l: 2, n: 3}. What is prob of sequence nh? 1/6 Two letters picked without replacement from yoydopxpdpodddx. Give prob of sequence px. 1/35 What is prob of sequence xqx when three letters picked without replacement from {x: 3, q: 1}? 1/4 Four letters picked without replacement from {y: 6, w: 7}. What is prob of sequence yywy? 7/143 Four letters picked without replacement from vvjjvvvj. What is prob of sequence jvvj? 1/14 Calculate prob of sequence yv when two letters picked without replacement from tvydhsy. 1/21 Calculate prob of sequence hcuu when four letters picked without replacement from {u: 2, c: 1, h: 1}. 1/12 Three letters picked without replacement from obbo. Give prob of sequence bbo. 1/6 Three letters picked without replacement from zzzrzzr. What is prob of sequence rrz? 1/21 Calculate prob of sequence ee when two letters picked without replacement from {e: 6, d: 2}. 15/28 Calculate prob of sequence tii when three letters picked without replacement from {t: 7, i: 4, c: 5}. 1/40 Two letters picked without replacement from yjjjjjjyjj. Give prob of sequence yj. 8/45 Two letters picked without replacement from wggggggngggggvwvggw. Give prob of sequence ng. 13/342 Two letters picked without replacement from yccgtycctcyc. What is prob of sequence ct? 1/11 What is prob of sequence zl when two letters picked without replacement from {z: 5, l: 7}? 35/132 What is prob of sequence vl when two letters picked without replacement from vlvvvl? 4/15 Two letters picked without replacement from klkkxrx. Give prob of sequence xx. 1/21 Two letters picked without replacement from {t: 7, v: 2}. Give prob of sequence vv. 1/36 What is prob of sequence ufv when three letters picked without replacement from vfbbbubbbubbuubu? 1/672 Three letters picked without replacement from {g: 6, h: 13}. Give prob of sequence hgg. 65/969 Two letters picked without replacement from {z: 1, a: 1, x: 2, b: 1, f: 1, k: 2}. Give prob of sequence fa. 1/56 Three letters picked without replacement from {n: 4, x: 1, k: 3, s: 1, o: 5}. Give prob of sequence kso. 5/728 Three letters picked without replacement from iiiiniininiiii. Give prob of sequence ini. 55/364 Calculate prob of sequence zaz when three letters picked without replacement from {a: 2, z: 3}. 1/5 What is prob of sequence yf when two letters picked without replacement from zomfhyfzhhz? 1/55 What is prob of sequence axg when three letters picked without replacement from {g: 1, w: 1, z: 1, a: 1, x: 2, m: 1}? 1/105 What is prob of sequence wdd when three letters picked without replacement from dwddw? 1/5 Four letters picked without replacement from {e: 7, x: 3}. Give prob of sequence eeee. 1/6 Calculate prob of sequence qa when two letters picked without replacement from ggaaq. 1/10 Four letters picked without replacement from tmtnmnnm. What is prob of sequence tmnn? 3/140 Three letters picked without replacement from sseseseseesee. Give prob of sequence sss. 10/143 Calculate prob of sequence xc when two letters picked without replacement from {c: 8, m: 7, x: 3}. 4/51 What is prob of sequence eylt when four letters picked without replacement from kyleeetyteyeeeeey? 3/2380 What is prob of sequence ycc when three letters picked without replacement from {c: 7, y: 1}? 1/8 Three letters picked without replacement from oozoooozoozo. What is prob of sequence ozo? 9/55 Three letters picked without replacement from ddw
{ "pile_set_name": "DM Mathematics" }
olve 4*p**2 - 5644*p + 28120 = 0 for p. 5, 1406 Solve -785*x**2 - 10960*x + 420 = 0. -14, 6/157 Factor 20*l**2 - 70368*l + 28144. 4*(l - 3518)*(5*l - 2) Solve -b**2/4 - 71*b/2 + 5220 = 0 for b. -232, 90 What is g in -3*g**4 + 1497*g**3 + 1503*g**2 - 1497*g - 1500 = 0? -1, 1, 500 Determine t so that t**5/2 - 807*t**4 - 31049*t**3/2 + 17943*t**2 + 32660*t = 0. -20, -1, 0, 2, 1633 What is x in 18*x**2 + 79221*x + 13203 = 0? -4401, -1/6 Factor 22*r**2/5 + 292*r/5 + 496/5. 2*(r + 2)*(11*r + 124)/5 Factor 2*l**3 - 7950*l**2 + 8037600*l - 271663000. 2*(l - 1970)**2*(l - 35) Factor 2*t**2/13 + 9514*t/13 + 9512/13. 2*(t + 1)*(t + 4756)/13 Factor 4*l**4 + 3368*l**3 + 3356*l**2 - 6728*l. 4*l*(l - 1)*(l + 2)*(l + 841) What is q in 2*q**4/11 + 228*q**3/11 + 520*q**2/11 - 15876*q/11 + 3330 = 0? -111, -11, 3, 5 Suppose -4*l**2 + 498400*l - 15525160000 = 0. Calculate l. 62300 Let -i**2 + 44936*i - 134799 = 0. Calculate i. 3, 44933 What is p in -2*p**2 + 466*p + 468 = 0? -1, 234 Factor 3*c**2 - 61152*c - 61155. 3*(c - 20385)*(c + 1) Factor d**2 - 61*d - 3492. (d - 97)*(d + 36) Determine b so that b**2/3 - 1001*b/3 - 4052 = 0. -12, 1013 Suppose -25*h**5 + 15235*h**4 + 2531910*h**3 + 126338400*h**2 + 2030952960*h - 832757760 = 0. What is h? -48, 2/5, 753 Solve -2*l**3/5 - 49778*l**2/5 - 19910*l - 49774/5 = 0 for l. -24887, -1 Solve 9522*d**5 - 19039308*d**4 + 66690458*d**3 - 63960672*d**2 + 9660840*d - 399200 = 0 for d. 2/23, 5/3, 1996 Solve -4*z**2 + 644*z + 64680 = 0 for z. -70, 231 Determine d so that -4*d**5/5 - 9158*d**4/5 - 6962922*d**3/5 - 1737929908*d**2/5 + 15313158088*d/5 + 8090191728/5 = 0. -766, -1/2, 9 Factor -s**2/2 + 23474*s - 275514338. -(s - 23474)**2/2 Solve 2*u**2/3 - 82*u/3 - 47068 = 0. -246, 287 Factor s**5 - 57*s**4 + 781*s**3 + 957*s**2 - 1682*s. s*(s - 29)**2*(s - 1)*(s + 2) Factor v**2/2 - 471*v/2 - 73295. (v - 685)*(v + 214)/2 Factor 2*p**4 - 2172*p**3 - 26256*p**2 - 105280*p - 140544. 2*(p - 1098)*(p + 4)**3 Find z, given that 3*z**3 - 1815*z**2 + 36792*z = 0. 0, 21, 584 Suppose -5*b**5/2 + 185*b**4 + 16590*b**3 - 1154585*b**2 - 12325975*b/2 = 0. Calculate b. -79, -5, 0, 79 Let 8*y**5/7 - 422*y**4/7 - 14538*y**3/7 - 30712*y**2/7 - 968*y = 0. What is y? -22, -2, -1/4, 0, 77 Determine b, given that 3*b**5 - 69*b**4 - 720*b**3 + 15132*b**2 + 66720*b - 187200 = 0. -13, -6, 2, 20 Factor 18*i**4/13 - 153444*i**3/13 + 715778*i**2/13 - 834960*i/13. 2*i*(i - 8520)*(3*i - 7)**2/13 Find v such that 5*v**4 - 2090*v**3 - 2140*v**2 + 18810*v + 18855 = 0. -3, -1, 3, 419 Let -5*a**2/6 + 1765*a/6 - 3955 = 0. Calculate a. 14, 339 Factor -2*g**3 + 1144*g**2 - 2280*g. -2*g*(g - 570)*(g - 2) Find s such that -6*s**2/11 - 17040*s/11 - 17034/11 = 0. -2839, -1 Determine l, given that l**3/4 - 609*l**2/4 - 2488*l - 7500 = 0. -12, -4, 625 Factor -2*t**3/7 - 99054*t**2/7. -2*t**2*(t + 49527)/7 Let 2*q**2 - 224612*q + 6306318818 = 0. What is q? 56153 Determine s so that -5*s**5 - 2910*s**4 + 23525*s**3 - 44290*s**2 - 23520*s + 47200 = 0. -590, -1, 1, 4 Determine g, given that -g**2/6 - 139226*g/3 - 92817/2 = 0. -278451, -1 Suppose 5*t**4 + 485*t**3 + 14555*t**2 + 108615*t - 699660 = 0. What is t? -39, -23, 4 Factor -4*x**4 - 219400*x**3 - 3008083668*x**2 + 12034967600*x - 12035845264. -4*(x - 2)**2*(x + 27427)**2 Determine o, given that 1085*o**3 + 19520*o**2 + 34540*o - 320 = 0. -16, -2, 2/217 Find l, given that -2*l**3/3 - 2938*l**2/3 - 1185670*l/3 - 76317950/3 = 0. -695, -79 Suppose r**2/5 - 162651*r/5 + 325298/5 = 0. Calculate r. 2, 162649 Determine m, given that -5*m**5 - 5565*m**4 - 137080*m**3 - 1178560*m**2 - 3832320*m - 2785280 = 0. -1088, -8, -1 Solve -3*w**4 + 57*w**3 + 9243*w**2 - 269217*w = 0 for w. -59, 0, 39 Factor m**3/7 - 382*m**2/7 - m/7 + 382/7. (m - 382)*(m - 1)*(m + 1)/7 Find u, given that -4*u**2 - 58672*u - 351888 = 0. -14662, -6 Factor h**2/2 - 2121*h + 4241/2. (h - 4241)*(h - 1)/2 Suppose -11*x**3/4 - 1363*x**2 - 679991*x/4 - 549081/2 = 0. What is x? -247, -18/11 Factor 2*s**3 + 8704*s**2 - 17414*s + 8708. 2*(s - 1)**2*(s + 4354) What is n in 7*n**3/2 + 187*n**2 + 159*n/2 = 0? -53, -3/7, 0 Factor 3*f**3/7 - 351*f**2/7 + 3210*f/7. 3*f*(f - 107)*(f - 10)/7 Determine q so that -q**5/2 - 27*q**4/2 - 287*q**3/2 - 1501*q**2/2 - 1932*q - 1960 = 0. -7, -5, -4 Suppose -155*o**3 - 3245*o**2 + 224960*o - 14500 = 0. What is o? -50, 2/31, 29 Find z, given that -4*z**4 - 5660*z**3 + 132140*z**2 - 224580*z - 362376 = 0. -1438, -1, 3, 21 Suppose -y**3 + 39943*y**2 - 39942*y = 0. What is y? 0, 1, 39942 Factor 3*u**3 - 2232*u**2 - 6723*u. 3*u*(u - 747)*(u + 3) Factor 2*k**3 - 304*k**2 - 35014*k - 786708. 2*(k - 234)*(k + 41)**2 Factor -20*c**3 + 3775*c**2 + 12465*c + 2880. -5*(c - 192)*(c + 3)*(4*c + 1) Determine q, given that -4*q**4/5 - 304*q**3/5 + 3412*q**2/5 - 496*q - 6192/5 = 0. -86, -1, 2, 9 Factor 5*f**3 - 13395*f**2 + 66820*f + 80220. 5*(f - 2674)*(f - 6)*(f + 1) Let o**3/4 - 111*o**2/2 - 451*o/4 + 168 = 0. Calculate o. -3, 1, 224 Determine g, given that g**5 + 128*g**4 + 252*g**3 - 2*g**2 - 253*g - 126 = 0. -126, -1, 1 Suppose 2*b**4/7 - 726*b**3/7 + 5000*b**2/7 - 5664*b/7 - 11392/7 = 0. Calculate b. -1, 4, 356 Determine g, given that 4*g**5/7 + 600*g**4/7 - 16708*g**3/7 - 600*g**2/7 + 16704*g/7 = 0. -174, -1, 0, 1, 24 Determine v, given that -3*v**2 - 168348*v = 0. -56116, 0 Determine o, given that -2*o**2/5 + 12102*o/5 + 72684/5 = 0. -6, 6057 Suppose 4*f**5 - 57*f**4 + 97*f**3 + 936*f**2 - 2180*f + 1200 = 0. What is f? -4, 1, 5/4, 6, 10 Factor -2*x**3/5 + 218*x**2/5 + 13072*x/5. -2*x*(x - 152)*(x + 43)/5 Factor 3*m**2 + 143706*m + 1720951203. 3*(m + 23951)**2 Suppose 2*m**5/7 - 18*m**4/7 - 1454*m**3/7 + 574*m**2 + 208284*m/7 - 60112 = 0. Calculate m. -17, 2, 13, 28 Factor -16*y**3 + 21680*y**2 - 21668*y + 5416. -4*(y - 1354)*(2*y - 1)**2 Let 2*j**2/3 + 224*j/3 + 218 = 0. Calculate j. -109, -3 Suppose 3*z**5/8 + 15*z**4/8 - 4215*z**3/8 - 62475*z**2/8 + 17190*z - 8856 = 0. What is z? -24, 1, 41 Suppose -45*z**4 - 4805*z**3 + 142550*z**2 - 31440*z = 0. Calculate z. -131, 0, 2/9, 24 Suppose 14*a**2 - 638*a + 1220 = 0. Calculate a. 2, 305/7 Solve 3*d**2 + 113094*d + 1065854403 = 0. -18849 What is j in -j**4 - 142*j**3 - 825*j**2 - 1224*j = 0? -136, -3, 0 Solve 2*r**4/5 + 134*r**3/5 + 2274*r**2/5 + 7434*r/5 + 5292/5 = 0 for r. -42, -21, -3, -1 Factor 2*c**4 - 1064*c**3 + 2080*c**2 + 21152*c + 25440. 2*(c - 530)*(c - 6)*(c + 2)**2 Solve 4*o**4 + 420*o**3 + 7232*o**2 - 25584*o = 0. -82, -26, 0, 3 Factor 3*q**2 - 256422*q + 5479353507. 3*(q - 42737)**2 Factor 3*c**3/7 + 201*c**2/7 - 843*c/7 + 639/7. 3*(c - 3)*(c - 1)*(c + 71)/7 Let -5*v**4 + 150*v**3 + 31375*v**2 - 487500*v - 52812500 = 0. Calculate v. -50, 65 Determine f so that -f**2/5 - 59*f/5 - 152 = 0. -40, -19 What is n in 4*n**4 + 16*n**3 - 48*n**2 - 256*n - 256 = 0? -4, -2, 4 Solve -5*k**2 - 13805*k = 0 for k. -2761, 0 Solve 20*q**4 - 63845*q**3 - 1331700*q**2 - 5446485*q + 1445850 = 0. -15, -6, 1/4, 3213 Find o such that 68*o**4 - 676*o**3 + 1524*o**2 - 860*o - 56 = 0. -1/17, 1, 2, 7 Let -2*v**3/3 - 1568*v**2 + 12582*v - 33040/3 = 0. What is v? -2360, 1, 7 Find u, given that -5*u**5 - 303*u**4 + 1732*u**3 - 3264*u**2 + 2368*u - 528 = 0. -66, 2/5, 1, 2 Factor -3*h**3 + 5790*h**2 - 17313*h - 57810. -3*(h - 1927)*(h - 5)*(h + 2) Factor -3*j**3 - 1878*j**2 + 1887*j + 3762. -3*(j - 2)*(j + 1)*(j + 627) Factor 4*d**3 + 424*d**2 - 34684*d + 551696. 4*(d - 29)**2*(d + 164) Find l such that -2*l**3/9 - 46*l**2/3 + 156*l = 0. -78, 0, 9 Factor -4*h**2 - 1720*h - 10176. -4*(h + 6)*(h + 424) What is g in 3*g**2 + 11580*g + 11174700 = 0? -1930 Find c such that 4*c**5 - 5620*c**4 - 537492*c**3 - 1058108*c**2 - 526240*c = 0. -88, -1, 0, 1495 Find y, given that 75*y**4 + 74015*y**3 + 211680*y**2 + 118060*y - 19680 = 0. -984, -2, -1, 2/15 Find c such that 70*c**4 - 13096*c**3 + 1052*c**2 + 13096*c - 1122 = 0. -1, 3/35, 1, 187 Suppose -4*c**3 + 320632*c**2/3 - 106876*c/3 = 0. Calculate c. 0, 1/3, 26719 Let 2*u**2 - 116650*u + 116648 = 0. What is u? 1, 58324 Factor r**4/8 - 15*r**3 + 1179*r**2/4 + 9315*r + 385641/8. (r - 69)**2*(r + 9)**2/8 Factor -5*n**2 - 4865*n + 4870. -5*(n - 1)*(n + 974) Factor -q**4/3 + 1285403*q**3/3 - 137688191800*q**2 - 137688620268*q. -q*(q - 642702)**2*(q + 1)/3 Factor j**4/9 + 970
{ "pile_set_name": "DM Mathematics" }
g. 3/10 Two letters picked without replacement from nnnnnnnnnnunn. What is prob of picking 2 n? 11/13 Four letters picked without replacement from {g: 1, r: 7, l: 3, k: 3, h: 2, p: 3}. Give prob of picking 1 r and 3 p. 7/3876 Four letters picked without replacement from {m: 5, p: 13}. Give prob of picking 4 p. 143/612 Calculate prob of picking 1 k, 1 j, 1 t, and 1 g when four letters picked without replacement from tkjngrn. 1/35 Two letters picked without replacement from vvvv. Give prob of picking 2 v. 1 Two letters picked without replacement from fdmrdddddapfdaddramd. What is prob of picking 1 r and 1 a? 3/95 What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, f: 1, t: 1, g: 2, e: 1, j: 1}? 1/21 Calculate prob of picking 1 k, 1 u, and 2 m when four letters picked without replacement from {k: 5, m: 3, u: 2}. 1/7 Two letters picked without replacement from yytye. Give prob of picking 1 e and 1 y. 3/10 Four letters picked without replacement from skzssmaska. Give prob of picking 1 s, 2 a, and 1 m. 2/105 Calculate prob of picking 2 d when two letters picked without replacement from dlddmlldltlllll. 2/35 Calculate prob of picking 1 a, 1 u, and 1 y when three letters picked without replacement from {a: 1, u: 2, p: 1, y: 3}. 6/35 Calculate prob of picking 2 y when two letters picked without replacement from {a: 17, y: 2}. 1/171 Three letters picked without replacement from jbbbbbjbjbbbbbbbjbbb. Give prob of picking 1 j and 2 b. 8/19 What is prob of picking 2 f and 1 k when three letters picked without replacement from tkffftkf? 3/14 Two letters picked without replacement from nzppzzzipznf. What is prob of picking 1 f and 1 p? 1/22 Calculate prob of picking 1 f and 2 l when three letters picked without replacement from {f: 6, l: 12}. 33/68 Calculate prob of picking 3 f when three letters picked without replacement from fgmgfmmmmfgmmmgggggf. 1/285 Two letters picked without replacement from enneinneuieneeiuei. Give prob of picking 2 u. 1/153 Two letters picked without replacement from fufuttzfftfffteufuff. What is prob of picking 1 f and 1 z? 1/19 Four letters picked without replacement from {u: 4, o: 5, t: 1, n: 5}. Give prob of picking 2 n, 1 o, and 1 t. 10/273 What is prob of picking 3 i and 1 b when four letters picked without replacement from {i: 11, b: 3}? 45/91 What is prob of picking 1 h, 1 g, and 1 f when three letters picked without replacement from {f: 4, h: 2, g: 1}? 8/35 What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 7, j: 2, s: 7, k: 3}? 14/171 What is prob of picking 1 t and 1 r when two letters picked without replacement from vvdvtarvavdavdvdvav? 1/171 Calculate prob of picking 3 t when three letters picked without replacement from {t: 6, a: 4, l: 3}. 10/143 Calculate prob of picking 1 j, 1 f, and 1 y when three letters picked without replacement from {j: 4, s: 3, y: 5, f: 7}. 140/969 Calculate prob of picking 1 u, 1 x, and 2 m when four letters picked without replacement from {q: 4, m: 6, x: 4, u: 4}. 4/51 Two letters picked without replacement from {p: 2, d: 2, x: 2}. Give prob of picking 2 p. 1/15 Two letters picked without replacement from {n: 3, t: 3}. What is prob of picking 2 n? 1/5 Calculate prob of picking 1 j, 1 m, and 1 z when three letters picked without replacement from {j: 3, m: 3, z: 1}. 9/35 Four letters picked without replacement from rivrrvvrvvvvi. Give prob of picking 1 r, 1 i, and 2 v. 168/715 What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 3, i: 2, d: 7, l: 4, f: 1}? 3/34 Three letters picked without replacement from tpttppptpttpt. Give prob of picking 1 t and 2 p. 105/286 Two letters picked without replacement from nmmwnwmnnwnmwwn. Give prob of picking 1 m and 1 n. 8/35 Four letters picked without replacement from wxwwnnz. What is prob of picking 2 n, 1 z, and 1 x? 1/35 Three letters picked without replacement from sissllz. What is prob of picking 1 i, 1 s, and 1 l? 6/35 Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {v: 5, u: 4, l: 8}. 6/85 What is prob of picking 3 i and 1 o when four letters picked without replacement from rioii? 1/5 Two letters picked without replacement from {c: 4, n: 3}. Give prob of picking 2 c. 2/7 What is prob of picking 2 z when two letters picked without replacement from {z: 7, w: 2}? 7/12 Four letters picked without replacement from {r: 11, b: 5}. What is prob of picking 1 b and 3 r? 165/364 What is prob of picking 1 j and 1 r when two letters picked without replacement from rrrjjrjjjrdjjjrjjr? 70/153 What is prob of picking 1 z and 1 o when two letters picked without replacement from {m: 4, z: 7, e: 4, o: 1, l: 2}? 7/153 Calculate prob of picking 2 v and 1 x when three letters picked without replacement from {x: 9, v: 5}. 45/182 Three letters picked without replacement from bjybbbjby. Give prob of picking 2 y and 1 j. 1/42 Four letters picked without replacement from xexeexxxuxexxeuxeue. Give prob of picking 3 u and 1 e. 7/3876 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {l: 2, x: 1, w: 1, g: 1}. 1/10 Three letters picked without replacement from zzzgzgzzzzggg. What is prob of picking 1 g and 2 z? 70/143 What is prob of picking 1 v, 1 g, 1 o, and 1 j when four letters picked without replacement from wgmgoomvj? 2/63 Three letters picked without replacement from {z: 1, r: 2, u: 3, h: 1}. Give prob of picking 1 z, 1 h, and 1 u. 3/35 What is prob of picking 3 z when three letters picked without replacement from {a: 3, f: 4, o: 2, e: 1, z: 9}? 28/323 What is prob of picking 2 o when two letters picked without replacement from {j: 9, e: 1, o: 9}? 4/19 Calculate prob of picking 1 i and 2 w when three letters picked without replacement from iiwiiiiqiiwiiiwiiqq. 13/323 Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhbhhhhbhhhhbhhh. 68/95 Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {j: 3, p: 4}. 18/35 Calculate prob of picking 1 e, 1 l, and 1 g when three letters picked without replacement from {i: 2, e: 2, g: 2, c: 5, l: 1, s: 1}. 2/143 Calculate prob of picking 1 c, 1 w, and 1 x when three letters picked without replacement from cxxwcxxkck. 1/10 Four letters picked without replacement from jjjjjj. Give prob of picking 4 j. 1 Calculate prob of picking 4 d when four letters picked without replacement from kdkkdkkddk. 1/210 What is prob of picking 1 b and 1 r when two letters picked without replacement from jrjlilobi? 1/36 Calculate prob of picking 1 b and 2 c when three letters picked without replacement from ncbdkznc. 1/56 Four letters picked without replacement from {e: 2, p: 3, y: 1, z: 1, u: 7}. Give prob of picking 1 z, 1 u, and 2 e. 1/143 Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {y: 4, t: 3}. 12/35 What is prob of picking 1 v and 1 e when two letters picked without replacement from spzzggvezgzz? 1/66 Two letters picked without replacement from pxvvvkvnzvvnvvkkvn. What is prob of picking 1 z and 1 k? 1/51 What is prob of picking 3 i when three letters picked without replacement from {i: 4}? 1 Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, b: 1, s: 1, z: 4, c: 1}. 1/28 Calculate prob of picking 2 c and 1 v when three letters picked without replacement from vvcvphcvcppvhcv. 36/455 Two letters picked without replacement from {n: 5, t: 3, z: 1, s: 3, u: 2, b: 1}. Give prob of picking 1 b and 1 s. 1/35 Four letters picked without replacement from yyyyyyyyyy. Give prob of picking 4 y. 1 Calculate prob of picking 4 y when four letters picked without replacement from {c: 7, y: 6}. 3/143 Calculate prob of picking 1 g and 3 k when four letters picked without replacement from kdggd. 0 Two letters picked without replacement from {g: 1, h: 2, u: 1, x: 4, k: 7, n: 4}. Give prob of picking 1 n and 1 k. 28/171 Four letters picked without replacement from rcroroccjccc. Give prob of picking 2 r and 2 o. 1/165 Three letters picked without replacement from {z: 1, w: 1, p: 2, v: 1, l: 2, a: 1}. Give prob of picking 1 v, 1 p,
{ "pile_set_name": "DM Mathematics" }
t k = 8.98 - 9. Let f = 4 + -6. What is the nearest to 1 in 2/13, k, f? 2/13 Let k = -1.7 - -4.7. Which is the closest to 0? (a) -1/5 (b) -2 (c) k a Suppose -5*l - 8 = u, 3*l + 2*u = -0 - 2. Suppose -4*v + v - 117 = 0. Let j = v - -115/3. What is the nearest to j in 0, 5, l? 0 Let s be (27/12)/(6/16). Suppose -3*f = -f - s. Suppose 4 = -2*d - 7*w + 2*w, 0 = -f*d - 2*w - 6. What is the nearest to d in -4, 4/7, 2? -4 Let u = 16 - 15. What is the nearest to u in -4, 0.2, -2? 0.2 Let b = -1.1 + 1. Let q be 2/(-4)*2/(-4). Let o be 3/2*8/(-78). What is the closest to b in q, -4, o? o Let o(f) = 11 + f - 3*f + 3*f. Let n be o(-9). Which is the closest to n? (a) 3 (b) -5 (c) -0.1 a Let r = 49.9 - 50. What is the closest to r in -0.07, 1/4, -0.1? -0.1 Let s = -2 - -1.4. Let h = 0.2 + s. What is the closest to 0.1 in h, 3, 0.3? 0.3 Let l = 15 + -10. Let s = 0.3 - 0.46. Let g = s - -0.76. Which is the closest to 0.1? (a) g (b) -3/4 (c) l a Let t be 3 - (3 + 5/25). What is the nearest to 2/5 in t, 0.1, 15? 0.1 Let u = 3 + 2. Let t = 8 - u. Let z = 4 - t. Which is the nearest to 1/3? (a) z (b) 1/5 (c) 0.5 b Let t = 2 + -2.5. Let f = -8/5 + 1/10. Let x be (0 + -1)*2/11. What is the nearest to -1/4 in f, x, t? x Let o be 1/2*13/((-325)/40). Let w be -1 - -1 - (-1)/9. What is the closest to o in -2/5, w, -0.1? -2/5 Let n = -41 + 41.1. Which is the closest to n? (a) -0.3 (b) 3 (c) -2/11 c Let w = 6 - 4. Let r be (-3 - (-2)/1) + w. Let m be (10/(-35))/(3/(-7)). What is the closest to m in r, -2/5, -4? r Let n = 7.64 + -8. Let r = n - 0.04. Suppose -m - 3 = 1. Which is the closest to 0.1? (a) r (b) -3 (c) m a Let c = -6 - -1. Let i = 5 - 5.2. What is the nearest to -0.1 in -2/13, c, i? -2/13 Let p(v) = -2*v + 3. Let b = 20 - 28. Let y be p(b). Suppose -3 = -4*a - y. What is the nearest to 0.1 in 0.3, a, -2? 0.3 Let x be ((-3)/(-2))/(9/(-12)). Which is the nearest to -2? (a) 2/19 (b) x (c) -1/8 b Let y(x) = -x**2 - 6*x + 4. Let u be y(-6). Let a = -2.9 - -3. Let o be (1 - 2) + (3 - 2). What is the nearest to o in u, a, 0? 0 Let s = 6.1 + -8.1. What is the closest to -1 in 0.4, -0.4, s? -0.4 Suppose 0*n = 3*n + 5*p - 5, 4*p - 11 = -n. Let k = 0 - -0.5. Which is the nearest to 0.4? (a) k (b) n (c) -1/3 a Let h = 4.4 + -4. Let n = -0.07 - -2.07. What is the closest to 0.2 in h, n, -0.1? h Let v be (2 - (-51)/(-30))*4. Which is the nearest to 0.1? (a) -1/2 (b) v (c) -4 a Let o = -40 - -92. Let p be 2/o*20*2. Let l = 93/52 - p. Which is the closest to l? (a) 0.2 (b) 3 (c) -1 a Let q be 21/(-9) - 3/(-3). Let m = 0 - -2. Let u be (-5)/(-2) - (-1)/2. Which is the nearest to -2/3? (a) m (b) q (c) u b Suppose 0 = -2*y + 4*n - 18, 4*n - n = -4*y - 3. Let p = 2 + -1. What is the closest to 2 in y, p, 2? 2 Suppose 5*g + 2*n = -0*g - 9, 0 = 3*n + 6. Let m(t) = t - 7. Let w be m(4). What is the nearest to g in w, -2/5, -2/11? -2/5 Let r(g) = -19*g**2 - 2*g + 2. Let l be r(2). Let z = 388/5 + l. Let q = 3 - -2. Which is the nearest to z? (a) q (b) -5 (c) -1 c Let s = 693/5 - 139. Suppose -2*o - 54 + 44 = 0. What is the nearest to 0 in o, s, -0.1? -0.1 Let y = -0.1 + 0.12. Let f = y - 0.02. Suppose -3*o - 12 = o - 4*q, q - 3 = -4*o. Which is the nearest to f? (a) o (b) 0.1 (c) 2 a Let j = 0.3 + 0.7. Let x(s) = -s + 2. Let k be x(0). Which is the closest to j? (a) 1 (b) k (c) -4 a Let p = 455444/13 - 35075. Let f = p + 41. What is the closest to -1 in f, -3, -1? -1 Let k = -1.4 - -7.4. Let x = -5.5 + k. Let c be (2/(-6))/((-5)/6). What is the nearest to 1/3 in 4/7, x, c? c Let f = -1 - -1. Let d = -20 - -16. What is the nearest to f in -3/5, -0.2, d? -0.2 Suppose 3*g + 6 = 3*k, g + g - 4*k + 14 = 0. Let a be ((-10)/(-18))/(1/g). What is the closest to 1 in -5, -1, a? a Let y = -4.74 - 0.26. Which is the closest to -2? (a) y (b) 0.1 (c) 1/5 b Let z(h) = h**2 - 4*h - 9. Let y be z(6). What is the nearest to -6/11 in 0, y, -1? -1 Let o = 4 + -3.97. Let v = -0.53 + o. Let h = -253/5 - -51. What is the closest to -1/2 in v, -0.1, h? v Let k = 2 - 3. Let o = k - 0. Let r = -0.029 + 0.529. What is the closest to o in r, -0.5, 2? -0.5 Let u = 22 - 22.22. Let a = -0.18 + u. Suppose 0 = 3*i + 1 - 13. What is the closest to 1/3 in a, i, 3/5? 3/5 Let o = 0.04 + -0.01. Let v = o + -0.13. What is the nearest to v in -1/6, 2, -2/3? -1/6 Suppose 5*g - 25 = -5. Suppose 0 = -3*k + 2*i - 1, 4 = -g*k - 3*i + 14. Let p be 1/2*(-32)/(-40). Which is the nearest to k? (a) -2/5 (b) p (c) 0.3 b Let j = 192 - 1539/8. Let b = -0.4 - 1.1. Let l = -0.5 + b. What is the closest to l in 3/5, j, -1? -1 Let h be (-1)/((-1)/(-5)*-1). Suppose 3*g = -g + 8. Let v = g - 6. Which is the closest to -0.1? (a) 0.1 (b) h (c) v a Let c = -21 + 21. Let g(x) = x**2 - 2. Let z be g(2). What is the closest to -2/3 in -3, c, z? c Let c = 1 - 0. Let a = 0.04 + -0.24. Suppose -3*y = -5 - 7. What is the closest to 0 in y, c, a? a Let m = 1.02 - 0.02. Suppose v - 3*v - 4 = 0, 3*z = 4*v + 8. Which is the nearest to m? (a) 5 (b) -1 (c) z c Let p = -2 + 3. Let h = p + 2. Let s = -2 + 3. Which is the closest to s? (a) 0.4 (b) -1/3 (c) h a Let w = 9 + -3. Let n = -8 + w. What is the nearest to 1 in n, 3, 1/4? 1/4 Let r = -4 - -7. Suppose -x - 7 + r = 0. Let n be -1 + (-4 - -2 - x). Which is the closest to -1? (a) n (b) -0.3 (c) 0.5 b Let u be (-128)/24 - 1/(-3). Let m be u/(-25) + (-142)/60. Let z = m - -5/3. What is the nearest to z in 2, 0, 1? 0 Let c = 18 + -16. What is the nearest to 0.1 in -2/11, -4, c? -2/11 Let u be (-2)/(-9) - (-196)/(-315). What is the nearest to -1 in u, 2, 0.6? u Let g = 7.3 - 6.3. Which is the closest to g? (a) 0.9 (b) -5 (c) 1 c Let f = -3.1 - -3. Let x = 0.3 + f. Let z = 4 + -3. Which is the closest to z? (a) -1/3 (b) 1/2 (c) x b Let d = -2/75 + 164/525. Let i = 57/28 - 7/4. Let p = -7 + 5. What is the nearest to i in -0.3, p, d? d Suppose 3*s + 7 + 53 = 5*r, 4*r + 2*s = 48. Let k = r + -17. Which is the closest to 0.1? (a) k (b) 0 (c) -0.3 b Let s be (3/2)/(3/8). Let t = 0 + s. Let z = t + -5. What is the closest to z in -5, -1, 0.3? -1 Suppose 5*b + 4*q = 11, 5*b - q = -2*q - 1. Let t = -1 - -3. Suppose -3*c - 5 = -5*m, 0 = 2*m - 0*m - 2. What is the closest to c in t, b, 2/15? 2/15 Let h = -3 + 3.2. Suppose 5*g - 3*i + i = 5, 5*g + 15 = -2*i. Let z = 2 + g. Which is the closest to z? (a) -0.1 (b) 5 (c) h c Let x = 5 + -5.3. Let k be (-1 + -3)/(-4 - 5). What is the closest to -1 in 1, x, k? x Let v = 521/5 + -105. Let q be (-2)/(-60) + 3/(-15). Which is the closest to 1? (a) -2/9 (b) v (c) q c Suppose 9 = -2*x - 1. Let o be -2*(5/(-2))/x. Which is the nearest to o? (a) -3 (b) 0.1 (c) 3 b Suppose 0*z + 2*z = 0. Suppose -q - q + 102 = z. Let l = q - 359/7. Which is the closest to l? (a) -0.4 (b) -0.2 (c) -2/3 b Let n be (-2)/4*0/(-2). Let d be (-6 + 1)*6/(-10). Let t = -11 - -15. What is the closest to n in t, 0, d? 0 Let f = -0.199 - -0.099. What is the nearest to f in 4, -1/7, -3? -1/7 Suppose 20 = 2*s - 7*s. Let z = 2.9 - 3. Let m be -1 + (3/2)/1. Which is the nearest to m? (a) s (b) z (c) -5 b Let d = -13.2 + 13. Let u = -2.9 - -3. Let f = u + -2.1. What is the closest to -2 in d, f, -0.5? f Let o = -0.39 + 0.49. Which is the closest to 1? (a) -3 (b) -2 (c) o c Let t = 0.2 - 0.3. Let n be 20/12 + 6/(-3). Which is the nearest to t? (a) n (b) -4/9 (c) -1 a Let i = -49/2 - -24. Let c = -0.09 - 0.91. What is the closest to 2 in c, 1, i? 1 Let w = 1 + -0.8. Let n = 0.2 + -2.2. What is the closest to w in n, 0.5, 4? 0.5 Let r = -24.7 - -28. Let h = r - 3. What is the nearest to 1 in 5, h, 0.2? h Let w = 6 + -2. Let v = 9 - 9. Which is the nearest to v? (a) 0.2 (b) 1 (c) w a Let j be (-2)/4*12/18. Let w be (6/(-5))/(8/20). Which is the nearest to -1? (a) w (b) j (c) 0 b Let k = -2 + 7. Let a = k - 4.8. Let u = -0.06 - -1.06. What is the closest to u in 1, -3, a? 1 Suppose -5*g + 10 = -25. Suppose 0 = -f + 2*x - 6 - g, -2*f - 2*x = -4. What is the closest to -0.1 in -1, f, -0.3? -0.3 Let k = 1.03 + 1.97. Which is the nearest to 1/2? (a) 8 (b) k (c) -1 c Let m(w) = 15*w**3 + 3*w**2 - 1. Let l be m(1). Which is the nearest to 0? (a) 0.3 (b) 2 (c) l a Let p = 13.5 - 13. What is the nearest to -1 in p, 1, 0.2?
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) 0.36 (b) 1/9 (c) -7/8 (d) -13 b What is the fourth smallest value in -0.2, -1/3, 3/8, -438, -2/9, 3? -0.2 What is the second smallest value in -5, -1981826, 1/4? -5 Which is the biggest value? (a) 6 (b) 0.39 (c) -0.5 (d) -0.2 (e) 1/3 (f) -1/6 a Which is the biggest value? (a) -151 (b) -1/4 (c) 0.1 (d) -36 (e) -2/13 (f) -2/11 c What is the second biggest value in 137/2, 1/5, -1/5? 1/5 Which is the second biggest value? (a) -2 (b) -15 (c) 3 (d) 2.7 (e) 0.5 d What is the fourth biggest value in -2, 29/2, -2/29, 3.1? -2 What is the second biggest value in -5977, 0.5, 4/5? 0.5 What is the fifth biggest value in 5, -2.1, 3, 15, 2/27, 3/2? 2/27 What is the smallest value in -316/7, -3, -0.143? -316/7 Which is the fourth smallest value? (a) -0.2 (b) 18 (c) -15 (d) 540 d What is the fourth biggest value in -0.1, -16, 2/5, 775? -16 What is the second smallest value in 1.06, 0, 0.1, -5? 0 What is the second biggest value in -6/7, -1, 32, -0.5, -7, 1.3? 1.3 What is the second biggest value in -7, 2/19, 1/218, 0.5, 1, -0.5? 0.5 Which is the second smallest value? (a) 9/11 (b) -9 (c) 3 (d) -2/3 (e) -0.2 d What is the second smallest value in 4/21, 1/8, -0.3, -31/2? -0.3 Which is the third biggest value? (a) 34 (b) 2/7 (c) 2/13 (d) -11 (e) -0.16 c What is the fourth smallest value in -50, -1/2, -4, -16, -0.3? -1/2 Which is the sixth smallest value? (a) 1 (b) -2 (c) -67 (d) -0.1 (e) -4/3 (f) 2/35 a What is the third smallest value in 1, 28/21123, 2/7? 1 Which is the fourth smallest value? (a) 0.5 (b) 1/91858 (c) 3 (d) -0.4 (e) -1 (f) 0 b Which is the sixth biggest value? (a) 3 (b) 4 (c) 13 (d) -0.1 (e) -0.0185 (f) -0.2 f Which is the smallest value? (a) 3 (b) 0.4 (c) -8 (d) -1.86 c Which is the smallest value? (a) -17 (b) 1/7 (c) -0.02 (d) -2.5 (e) -4/3 a What is the fourth smallest value in 0.29, -1, 1, -2/3? 1 What is the third smallest value in 8, -0.06, 3349? 3349 Which is the third smallest value? (a) -51 (b) 637 (c) 4/3 (d) -4 c What is the third smallest value in -4/3, 5, -1, 1/4, -1/4? -1/4 Which is the fourth biggest value? (a) 1/2 (b) -20/7 (c) 46 (d) 2/13 (e) 0.4 d Which is the second smallest value? (a) 0.1837 (b) 5 (c) -4 a Which is the third biggest value? (a) -27 (b) 1/11 (c) -0.02 (d) -4/9 d What is the smallest value in 3, 0.031, -18? -18 Which is the second smallest value? (a) -1 (b) -0.7318 (c) 1/2 b What is the third smallest value in -111059, 1/5, 4? 4 Which is the smallest value? (a) 1/4 (b) -0.025 (c) -0.1 (d) -3/1807 c Which is the third smallest value? (a) -1/5 (b) 0.1 (c) 2665.9 c What is the fifth biggest value in 0.7, -2/3, -1/5, 18/11, -5? -5 What is the fourth smallest value in -2, 0.5, -1, -1/30, -0.19? -1/30 Which is the biggest value? (a) 7796 (b) 0.2 (c) 1/10 (d) 0 (e) -0.3 a What is the biggest value in 5, -0.7, -3/7, 0.033, -1? 5 Which is the fifth smallest value? (a) 2.1 (b) 0.5 (c) 10/37 (d) -1 (e) -0.2 a What is the fourth smallest value in -3, 1/13, 11, -0.1? 11 What is the third smallest value in 2/31, 1/6, 3/8, 12/5? 3/8 What is the second smallest value in -197, -6, 13, 1? -6 What is the biggest value in -19, 0.1, 1.4, -2/11? 1.4 What is the smallest value in 2/3, 1/4, 2684? 1/4 What is the third smallest value in 0, -2, 23, -2/9, 1/10, -5? -2/9 What is the third smallest value in 2/7, 323, 0.1, 3, -2/3, 0.5? 2/7 What is the fourth biggest value in 2/5, 7, -2/5, 2/21, 0.1, -1/3? 2/21 Which is the fifth smallest value? (a) -1 (b) -110 (c) -0.3 (d) 0.75 (e) -2 d Which is the second smallest value? (a) 5 (b) -5 (c) -429 (d) -0.3 (e) 0.8 b Which is the third smallest value? (a) -0.1 (b) 1/8 (c) -1/89 b Which is the biggest value? (a) 3/4 (b) -2 (c) -3365 a Which is the smallest value? (a) -27 (b) -1/150 (c) -3 (d) -0.3 (e) 0.08 a What is the fourth biggest value in 2/11, -1, 10/7, 8, 0? 0 What is the third smallest value in -14, 2, -1/26? 2 What is the third biggest value in -0.66, -31, 5, 107? -0.66 Which is the second biggest value? (a) -3 (b) -4 (c) -0.1 (d) 0.5 (e) 1200/17 d What is the sixth smallest value in -2, 44, -2/13, -30, 32, -3/4? 44 Which is the fifth smallest value? (a) -2 (b) 5 (c) -10 (d) 1/4 (e) 8.7 e What is the second smallest value in -1/5, -528.9, 0.2, -0.3, 0.1, 8? -0.3 What is the biggest value in 30, -8, 2.11? 30 What is the fourth biggest value in -2/3, 0.2, 0.4, 2/3, -4/3, -0.13125? -0.13125 What is the third smallest value in 5, 0, 3, -25, -3, -0.0482? -0.0482 What is the third smallest value in -2, 4, 1.5, 2, -8/11? 1.5 Which is the fourth biggest value? (a) -2 (b) 1/3 (c) 1 (d) -1/3 (e) 5/429 d Which is the biggest value? (a) 0.4 (b) 7071 (c) 5 (d) -0.2 (e) -2 b Which is the second smallest value? (a) -0.3 (b) -2/19 (c) 50674 (d) 4 (e) 2 b What is the fourth smallest value in 0, 1235, -40/9, -1, -4/5? 0 Which is the third smallest value? (a) -33 (b) -4 (c) 0 (d) -9 (e) -50 d What is the third biggest value in 5/4, 4, 7/10, -756, 5? 5/4 What is the third biggest value in 189/10, -4, -3/4? -4 What is the third smallest value in -0.1, -3, 8, -15? -0.1 What is the biggest value in 1/18, -10, -22/27, -1? 1/18 What is the fifth biggest value in -3/230, 6/7, -5, -0.04, 2? -5 Which is the second biggest value? (a) -36 (b) -3/314 (c) 2/11 (d) -5 b Which is the third biggest value? (a) 976 (b) -3 (c) -2.8 b What is the third smallest value in -3, 601, -2, 0.04, 0? 0 What is the fifth biggest value in -5, 238, -1/4, 0.4, -4? -5 What is the second biggest value in -2/17, -5, 1, 0.608, 1/2, -2/9? 0.608 What is the second smallest value in -6/13, -5/6, -115, -5, -1/3? -5 Which is the fourth smallest value? (a) 2 (b) 5 (c) -5 (d) -4/17 b What is the fourth smallest value in 17, 0.09, 2, 1.8, -5? 2 Which is the second smallest value? (a) 17 (b) -4 (c) -38979 b What is the smallest value in 5, 17, -44377? -44377 What is the third smallest value in -0.3, -5/118, 0, -3? -5/118 What is the fourth biggest value in -8804, -3/5, 0.1, 3/4? -8804 What is the biggest value in 1, 8, -2, -4/11, 0, -4? 8 What is the second smallest value in -3, 0.9, -4, -0.08, 2/73, -12? -4 Which is the sixth smallest value? (a) -102 (b) 56 (c) 0.4 (d) -1/4 (e) 2/21 (f) -5 b Which is the fourth biggest value? (a) 2/209 (b) 2/9 (c) -0.1 (d) 2 c Which is the biggest value? (a) -7 (b) 2 (c) -131/13 b What is the third biggest value in 2, 171, -2066? -2066 Which is the smallest value? (a) 6/23 (b) 0 (c) 1070 b Which is the third smallest value? (a) 234 (b) 2/11 (c) 0.3 (d) -2 (e) 0.1 b What is the biggest value in 2/11, -5, -2/5, 0.2, -0.0138, -4/3? 0.2 Which is the third smallest value? (a) -1 (b) 0.3 (c) -2/5 (d) -2/3 (e) 1/2 (f) 3247 c Which is the third biggest value? (a) -1 (b) 2/17 (c) -2/7 (d) -1/2 (e) 0.142 c Which is the third biggest value? (a) 0.4 (b) 1/6 (c) 10118/7 b What is the fourth smallest value in 0.4, -62372, 3/2, -0.1, -4? 0.4 Which is the second biggest value? (a) -1/2 (b) 0.5 (c) -0.109 (d) 0.8 (e) 6/7 (f) 1 e Which is the smallest value? (a) 1.3 (b) -2 (c) 1.1631 b Which is the biggest value? (a) -621537 (b) -2/13 (c) -4 b What is the biggest value in -0.03, -112, -12, 0.4? 0.4 What is the smallest value in -385, -1/56, 0.3, -0.5? -385 Which is the second biggest value? (a) -0.1 (b) -5 (c) -2/7 (d) -2 (e) 0 (f) 0.0127 e What is the fourth biggest value in 8, 0.05, 5/7, 5, -10? 0.05 Which is the fourth biggest value? (a) 1 (b) -6 (c) -2/13 (d) 480 b Which is the third biggest value? (a) 717 (b) 0 (c) -3/11 (d) 0.2 b What is the smallest value in -4, 7/4, -0.1, -0.3, -661? -661 What is the third biggest value in 0, -0.7, -1/2, -1.3, -5/4, 3? -1/2 What is the sixth smallest value in 0.2, 3, 14, -34, -2, 1/10? 14 What is the smallest value in -0.829, -0.1, -0.7, -10? -10 What is the second biggest value in -4, 2/15, 3, 1/3, -2575, 1? 1 Which is the third biggest value? (a) -1/8 (b) -0.2 (c) -191 (d) 0.5 (e) -3 (f) 2/13 a Which is the fourth smallest value? (a) 2/17 (b) -5 (c) -2/19 (d) -876 a Which is the biggest value? (a) -108 (b) 0.2 (c) -3/2 (d) -327 b What is
{ "pile_set_name": "DM Mathematics" }
with respect to m. -13542 What is the second derivative of -2*f**3*j*y + 3*f**3*y**3 - 388*f*j*y**3 + 2*f*j*y + 7*f*j + j*y**3 wrt y? 18*f**3*y - 2328*f*j*y + 6*j*y What is the third derivative of g**3*j + 271*g**3 - 10*g**2*j - 6*j - 5 wrt g? 6*j + 1626 Find the third derivative of s*v**6 + 2*s*v**4 - 237*s*v**3 - 3*s*v**2 - 62*s*v + 5*v wrt v. 120*s*v**3 + 48*s*v - 1422*s What is the third derivative of 91*r**5 + 2*r**4 - 87*r**2 - 2*r + 3? 5460*r**2 + 48*r Find the third derivative of 1037*l**3 - l**2 - 357*l. 6222 Find the third derivative of 2*t**3*v**4 + 3*t**3*v**3 - 2*t**3*v**2 + 2*t**3*v + 2*t**3 - t*v**4 wrt v. 48*t**3*v + 18*t**3 - 24*t*v What is the third derivative of 2*k**6 + 5*k**4 + 2*k**2 - 40*k wrt k? 240*k**3 + 120*k Find the third derivative of 159*a**3*b**2*s**2 - 2*a**3*s**2 - 2*a**2*b**2 + 2*a**2*s**2 - 40*a*b**2 + 2 wrt a. 954*b**2*s**2 - 12*s**2 Differentiate -123*f + 271 wrt f. -123 Find the third derivative of 4*a**2*f**3 + 2*a**2*f*q + 4*a**2*q**2 - 6*a*f**2*q**3 + a*f*q**3 + 8*f**4*q + 2*f**3*q**3 - f**2*q wrt f. 24*a**2 + 192*f*q + 12*q**3 Find the third derivative of 9*f**6*x + 33*f**5*x**2 - 2*f**2 - 2*x**2 wrt f. 1080*f**3*x + 1980*f**2*x**2 Find the third derivative of 276*k**3*r**5 + 7*k**3*r**2 - 2*k**2*m*r**2 - 2*k**2*m + 2*k*m*r**5 wrt r. 16560*k**3*r**2 + 120*k*m*r**2 Differentiate 950*l**4 - 1172 wrt l. 3800*l**3 What is the first derivative of 3689*o**3 + 5707 wrt o? 11067*o**2 What is the third derivative of -552*p**4 + 253*p**2? -13248*p What is the second derivative of 472*w**4 - 5*w - 190 wrt w? 5664*w**2 What is the third derivative of -62*l**3*m + 2*l**3 + l**2 + 5*l - m wrt l? -372*m + 12 What is the third derivative of -8*p**3*r**2*t**3 - 1044*p**3*r**2 - 642*p*r**3*t**3 + p*r**3*t - 2*p*t**2 - r**3*t**2 wrt t? -48*p**3*r**2 - 3852*p*r**3 Find the third derivative of 14*b**4*v - 2*b**3 + 8*b**2*v - 18*b**2 wrt b. 336*b*v - 12 Find the second derivative of 3*g**2*m**2*n + g**2*m*n**2 - 38*g**2*m*n + 15*g**2*n**3 - 2*m**2*n**3 - 2131*m**2 wrt m. 6*g**2*n - 4*n**3 - 4262 What is the second derivative of 3*n*w**5 + n*w**2 + 3*n*w - 32*n + 323*w**5 + w - 2 wrt w? 60*n*w**3 + 2*n + 6460*w**3 Find the second derivative of 7*w**4 + 4*w**3 + 254*w wrt w. 84*w**2 + 24*w Find the third derivative of 358*f**3*v**2 + 3*f**2*v**2 + 2*f**2*v wrt f. 2148*v**2 What is the third derivative of 2*d*v**4 + d*y - 20*v**4*y + 2*v**4 - 5*v**2*y - 3*y wrt v? 48*d*v - 480*v*y + 48*v Differentiate 8*f*y*z**2 - f*y + 303*f*z**2 - 3*f - 10*l*y*z**2 + 2*l wrt y. 8*f*z**2 - f - 10*l*z**2 Find the third derivative of 170*c**4 + 117*c**2. 4080*c Find the third derivative of -2*d**3*p**3*s*v + 8*d**3*p**3 + 2*d**3*s - 2*d**2*p**3*s - 2*d**2*p**3 + 3*d*p**3*s - p**3*s - 7*p**2*s*v wrt d. -12*p**3*s*v + 48*p**3 + 12*s Find the first derivative of -2552*y**2 - 4*y + 5976. -5104*y - 4 What is the second derivative of 572*d**4 + d**3 + 2*d**2 - 4760*d wrt d? 6864*d**2 + 6*d + 4 What is the third derivative of 49*i**6 - 3*i**2 + 38*i? 5880*i**3 What is the second derivative of -32*c**2*j**3 - 2*c**2*j**2 - 151*c**2 - c*j - j**3 wrt j? -192*c**2*j - 4*c**2 - 6*j What is the third derivative of 3*j**6*p + 10*j**3 + 8*j**2*p - 2*j**2 - 3*p wrt j? 360*j**3*p + 60 What is the second derivative of -a**3 - 188*a**2*v + a - 3*v - 14 wrt a? -6*a - 376*v What is the second derivative of -9*f*o**5 + 2*f*o**3 + 4*f*o + 11*f + 3*o**5 wrt o? -180*f*o**3 + 12*f*o + 60*o**3 What is the third derivative of -3*r**3*u**2 - 10*r**3*u + 205*r**3 - r**2*u + u**2 - 2143*u wrt r? -18*u**2 - 60*u + 1230 Differentiate -518*r**2 + 548 wrt r. -1036*r Find the first derivative of -3*q**3*r**3 - q**3 + 6*q - 609*r**3 + 203 wrt r. -9*q**3*r**2 - 1827*r**2 Find the first derivative of i**3*o + 1103*i**3 + 101*i**2*o wrt o. i**3 + 101*i**2 What is the third derivative of 44*h**3*n**2*y - 2*h**3*y - 2*h**2*n**2*y + 9*h**2*n**2 + 2*h*n*y + 3*n**2*y wrt h? 264*n**2*y - 12*y What is the second derivative of 29*d**2*l**2 - 3533*d**2*l + 31*d*l**4 - 2*l wrt l? 58*d**2 + 372*d*l**2 What is the third derivative of -1185*o**5*t**2 - 2*o**5 + 2*o**2 + 13*o*t**2 + 139*o*t + 4*t**2 wrt o? -71100*o**2*t**2 - 120*o**2 Find the third derivative of 316*q**6 - q**4 + 3*q**2 + 10*q wrt q. 37920*q**3 - 24*q Find the third derivative of -2764*a**3*x + 2*a**2*x - 2*a - 1520*x wrt a. -16584*x Find the second derivative of 7*j**2*k**2*m + 2*j**2*k**2 + 8*j**2*k*m + 11*k**2*m + 2*k*m + k + 2*m wrt k. 14*j**2*m + 4*j**2 + 22*m What is the third derivative of 2*c**2*o**3*r + 2*c**2*o**2*r - 66*c**2*o*r - 9*c**2*r - c**2 - 3385*c*o**3*r wrt o? 12*c**2*r - 20310*c*r Find the third derivative of -3*n**5 + 51*n**4 + 87*n**2. -180*n**2 + 1224*n Find the first derivative of 3*i*r**4 + 56*i*r + 3*i + 61 wrt r. 12*i*r**3 + 56*i What is the derivative of 754*m - 221 wrt m? 754 What is the second derivative of -6*c**2*m**2*z + 3*c**2*z**2 - 3*c**2*z - 5*c*z**3 + 24*m**2*z**2 - 60*m**2*z + 2*m*z wrt z? 6*c**2 - 30*c*z + 48*m**2 What is the third derivative of 3*d**5 - 68*d**3*p - 4*d**2*p - 23*d wrt d? 180*d**2 - 408*p What is the third derivative of 8*b**4 - 47*b**3 + 2234*b**2 wrt b? 192*b - 282 Find the second derivative of 328*s**2 - 274*s wrt s. 656 Differentiate -a**2*g*v + 2*a**2*h - 2*a*g*h**2*v + 4*a*h**2 - 19*g*h - 36*h**2*v with respect to v. -a**2*g - 2*a*g*h**2 - 36*h**2 What is the third derivative of -9181*u**6 + 2340*u**2 wrt u? -1101720*u**3 Find the third derivative of 208*f**3 + 8*f**2 + 10 wrt f. 1248 What is the derivative of -2*b**2*o + 1674*b*m*o + b*m + m*o - 6*m - o + 89 wrt b? -4*b*o + 1674*m*o + m Differentiate 853*v**2 + 370 wrt v. 1706*v What is the third derivative of -2*v**6 + 338*v**4 + 3*v**3 + v**2 - 2*v - 514? -240*v**3 + 8112*v + 18 What is the first derivative of h*i*n**3 - 2*h*i + 77*h*n - 90*h + 2*i*n wrt n? 3*h*i*n**2 + 77*h + 2*i Find the first derivative of -40*d**3 - 22*d - 924. -120*d**2 - 22 What is the third derivative of -8509*o**4 - 4*o**2 - 327*o + 1 wrt o? -204216*o Differentiate 1081*o**4 - 838. 4324*o**3 Differentiate -15*c*m**2 + c + 153 with respect to m. -30*c*m What is the third derivative of 2*o**2*x**5 + o**2 - 21*o*x**2 + 16*x**5 wrt x? 120*o**2*x**2 + 960*x**2 What is the third derivative of -4709*n**4 - 2*n**2 - 8*n - 1? -113016*n What is the third derivative of -30*s**4 - 334*s**2 wrt s? -720*s Find the second derivative of -4*d**5*x + 14*d**4 - d**2*x - 22*d - 4*x wrt d. -80*d**3*x + 168*d**2 - 2*x Differentiate -1792*p + 1199 wrt p. -1792 What is the first derivative of 539*b*m*y**3 + m*y**3 + 7*m wrt b? 539*m*y**3 Find the first derivative of 270*d**3*y - 5*d**3 + 13 wrt y. 270*d**3 What is the first derivative of -1801*c - 119 wrt c? -1801 What is the first derivative of 155*i**4 + i**2*p + 6*p - 2 wrt i? 620*i**3 + 2*i*p What is the second derivative of -k**2*r**2 - 81*k**2*r - k*r**3 + 23*r**2 - 2*r wrt r? -2*k**2 - 6*k*r + 46 Differentiate -2*f**3*g**4 + 223*f**3*g**3 + 5*f**3 - 211 with respect to g. -8*f**3*g**3 + 669*f**3*g**2 Find the second derivative of -1395*t**3 + t**2 + 1669*t wrt t. -8370*t + 2 Find the third derivative of -387*f**6 - 3*f**3 - 5321*f**2 wrt f. -46440*f**3 - 18 What is the derivative of 2*x*y**2 - 2*x - 6*y**2 + 2*y + 122 wrt y? 4*x*y - 12*y + 2 What is the third derivative of -2*k**5 + 1664*k**4 + 3870*k**2? -120*k**2 + 39936*k Differentiate -c**2 - 2392*c + 3788 wrt c. -2*c - 2392 What is the second derivative of 127*b**2 - 46*b + 2 wrt b? 254 Differentiate 3862*b + 311 with respect to b. 3862 Find the first derivative of 5445*t**2 + 2*t + 5959. 10890*t + 2 Differentiate -16181*j - 3720 wrt j. -16181 Find the first derivative of 195*u*v**2 + 25*v**2 wrt u. 195*v**2 Differentiate 2*d**3*m*o - 2*d**3*m + 2*d**3*o - 11*d**2*m*o + 2*d*o - o with respect to m. 2*d**3*o - 2*d**3 - 11*d**2*o Find the second derivative of 2*q**5 + 22*q**4 - 53*q**2 - 2425*q wrt q. 40*q**3 + 264*q**2 - 106 What is the third derivative of -8*j*n*x - 10*j*n - 12*j*x**3 - n*x**3 - 2*n - 31*x**3 + 3*x**2 wrt x? -72*j - 6*n - 186 What is the derivative of 4*u**2 + 1479*u + 6536 wrt u? 8*u + 1479 What is the derivative of 13*g**2*y**2 + 33*g**2 + 2*g*y**2 - 4*g wrt y? 26*g**2*y + 4*g*y Find the second derivative of 43*c**4*v - 6*c**3
{ "pile_set_name": "DM Mathematics" }
3 minutes after 7:54 PM? 2:07 AM How many minutes are there between 8:18 AM and 10:01 AM? 103 How many minutes are there between 5:23 AM and 1:23 PM? 480 How many minutes are there between 2:43 PM and 6:12 PM? 209 What is 51 minutes after 2:59 PM? 3:50 PM What is 107 minutes after 12:54 PM? 2:41 PM How many minutes are there between 1:51 AM and 8:36 AM? 405 What is 154 minutes before 12:15 PM? 9:41 AM What is 405 minutes after 4:36 AM? 11:21 AM How many minutes are there between 12:42 AM and 2:24 AM? 102 What is 453 minutes after 12:28 PM? 8:01 PM What is 466 minutes before 4:49 PM? 9:03 AM How many minutes are there between 11:35 AM and 4:45 PM? 310 What is 310 minutes after 11:04 AM? 4:14 PM What is 573 minutes before 7:43 AM? 10:10 PM What is 165 minutes after 6:40 AM? 9:25 AM How many minutes are there between 3:26 PM and 2:02 AM? 636 What is 148 minutes after 7:40 AM? 10:08 AM What is 386 minutes before 10:11 AM? 3:45 AM What is 692 minutes before 6:58 AM? 7:26 PM How many minutes are there between 4:24 AM and 6:52 AM? 148 How many minutes are there between 10:39 AM and 3:44 PM? 305 What is 123 minutes after 2:41 PM? 4:44 PM How many minutes are there between 3:42 AM and 4:07 AM? 25 What is 705 minutes before 2:22 AM? 2:37 PM How many minutes are there between 8:24 AM and 10:19 AM? 115 What is 270 minutes before 1:54 PM? 9:24 AM How many minutes are there between 6:41 AM and 11:56 AM? 315 How many minutes are there between 10:11 PM and 3:20 AM? 309 How many minutes are there between 6:29 AM and 8:19 AM? 110 How many minutes are there between 12:44 AM and 1:26 AM? 42 What is 524 minutes after 6:46 AM? 3:30 PM What is 209 minutes before 2:43 AM? 11:14 PM What is 305 minutes after 12:56 AM? 6:01 AM What is 374 minutes after 9:46 AM? 4:00 PM How many minutes are there between 8:17 AM and 10:07 AM? 110 How many minutes are there between 7:53 AM and 12:03 PM? 250 What is 50 minutes before 5:01 PM? 4:11 PM What is 235 minutes before 9:12 AM? 5:17 AM What is 528 minutes after 12:04 PM? 8:52 PM What is 446 minutes before 2:20 PM? 6:54 AM How many minutes are there between 7:36 AM and 3:19 PM? 463 How many minutes are there between 7:11 PM and 9:08 PM? 117 How many minutes are there between 5:52 PM and 4:26 AM? 634 How many minutes are there between 7:59 PM and 11:03 PM? 184 What is 172 minutes after 11:23 PM? 2:15 AM What is 110 minutes after 5:28 AM? 7:18 AM How many minutes are there between 11:39 PM and 9:27 AM? 588 How many minutes are there between 5:54 AM and 6:21 AM? 27 How many minutes are there between 8:09 AM and 6:43 PM? 634 What is 302 minutes after 2:03 AM? 7:05 AM How many minutes are there between 5:33 PM and 1:01 AM? 448 What is 443 minutes after 2:04 AM? 9:27 AM What is 41 minutes after 6:06 PM? 6:47 PM How many minutes are there between 3:59 AM and 6:49 AM? 170 What is 175 minutes after 10:34 PM? 1:29 AM How many minutes are there between 3:34 AM and 11:39 AM? 485 How many minutes are there between 1:54 PM and 12:37 AM? 643 What is 132 minutes after 7:48 AM? 10:00 AM What is 705 minutes after 11:18 PM? 11:03 AM What is 639 minutes after 11:20 PM? 9:59 AM How many minutes are there between 3:29 PM and 5:58 PM? 149 How many minutes are there between 10:18 PM and 8:49 AM? 631 What is 295 minutes before 6:51 PM? 1:56 PM How many minutes are there between 5:12 PM and 4:28 AM? 676 How many minutes are there between 6:19 AM and 11:51 AM? 332 What is 145 minutes before 5:53 AM? 3:28 AM How many minutes are there between 11:50 AM and 4:41 PM? 291 How many minutes are there between 11:40 PM and 9:31 AM? 591 What is 90 minutes after 7:04 AM? 8:34 AM What is 528 minutes after 7:03 PM? 3:51 AM How many minutes are there between 5:40 AM and 11:34 AM? 354 What is 576 minutes before 6:54 AM? 9:18 PM How many minutes are there between 6:25 AM and 6:31 AM? 6 How many minutes are there between 1:29 PM and 6:24 PM? 295 What is 474 minutes after 9:02 AM? 4:56 PM How many minutes are there between 9:18 AM and 8:22 PM? 664 How many minutes are there between 2:37 PM and 11:23 PM? 526 How many minutes are there between 5:49 AM and 9:12 AM? 203 How many minutes are there between 6:24 AM and 7:12 AM? 48 What is 474 minutes before 10:04 PM? 2:10 PM How many minutes are there between 2:59 PM and 7:05 PM? 246 What is 463 minutes before 10:42 PM? 2:59 PM How many minutes are there between 6:56 AM and 8:46 AM? 110 How many minutes are there between 9:36 AM and 5:28 PM? 472 How many minutes are there between 5:17 PM and 3:44 AM? 627 What is 209 minutes after 7:13 PM? 10:42 PM What is 255 minutes after 4:51 AM? 9:06 AM What is 538 minutes after 2:58 PM? 11:56 PM How many minutes are there between 1:49 AM and 6:01 AM? 252 How many minutes are there between 6:42 PM and 3:54 AM? 552 How many minutes are there between 7:48 AM and 1:05 PM? 317 How many minutes are there between 8:26 PM and 8:09 AM? 703 What is 376 minutes before 9:00 AM? 2:44 AM What is 526 minutes after 11:15 AM? 8:01 PM What is 25 minutes before 9:22 AM? 8:57 AM What is 144 minutes before 5:21 AM? 2:57 AM How many minutes are there between 11:04 PM and 9:45 AM? 641 What is 578 minutes before 6:20 PM? 8:42 AM What is 53 minutes after 10:25 PM? 11:18 PM What is 630 minutes before 8:26 AM? 9:56 PM What is 588 minutes after 12:36 AM? 10:24 AM What is 207 minutes after 11:55 PM? 3:22 AM What is 371 minutes before 1:22 AM? 7:11 PM How many minutes are there between 2:11 AM and 5:38 AM? 207 What is 254 minutes after 7:39 PM? 11:53 PM How many minutes are there between 2:24 AM and 2:09 PM? 705 What is 675 minutes after 8:49 AM? 8:04 PM What is 558 minutes before 4:33 AM? 7:15 PM How many minutes are there between 7:58 AM and 7:40 PM? 702 How many minutes are there between 3:30 PM and 2:59 AM? 689 What is 678 minutes after 5:00 AM? 4:18 PM How many minutes are there between 12:33 AM and 5:58 AM? 325 How many minutes are there between 6:34 AM and 6:19 PM? 705 How many minutes are there between 5:31 PM and 5:58 PM? 27 How many minutes are there between 6:25 AM and 2:15 PM? 470 What is 360 minutes after 10:47 PM? 4:47 AM How many minutes are there between 6:35 PM and 1:23 AM? 408 How many minutes are there between 8:08 AM and 4:02 PM? 474 How many minutes are there between 12:43 AM and 1:50 AM? 67 How many minutes are there between 3:58 AM and 4:46 AM? 48 How many minutes are there between 4:43 AM and 11:09 AM? 386 How many minutes are there between 2:20 PM and 5:21 PM? 181 What is 520 minutes before 6:09 PM? 9:29 AM What is 153 minutes after 12:10 PM? 2:43 PM How many minutes are there between 1:12 AM and 8:58 AM? 466 How many minutes are there between 3:10 PM and 6:14 PM? 184 What is 517 minutes after 10:58 AM? 7:35 PM How many minutes are there between 10:04 PM and 3:00 AM? 296 What is 274 minutes after 9:33 PM? 2:07 AM How many minutes are there between 1:06 AM and 12:56 PM? 710 What is 424 minutes before 12:00 AM? 4:56 PM What is 493 minutes before 10:00 AM? 1:47 AM How many minutes are there between 2:21 AM and 10:21 AM? 480 What is 596 minutes before 8:36 AM? 10:40 PM How many minutes are there between 9:08 PM and 8:57 AM? 709 How many minutes are there between 9:23 AM and 2:47 PM? 324 How many minutes are there between 7:28 PM and 5:33 AM? 605 What is 581 minutes before 3:50 PM? 6:09 AM How many minutes are there between 2:36 AM and 9:26 AM? 410 What is 420 minutes after 6:30 PM? 1:30 AM What is 424 minutes before 8:26 PM? 1:22 PM How many minutes are there between 8:14 AM and 10:59 AM? 165 How many minutes are there between 10:32 PM and 2:58 AM? 266 What is 92 minutes after 11:03 PM? 12:35 AM How many minutes are there between 6:49 PM and 11:02 PM? 253 How many minutes are there between 5:08 AM and 11:47 AM? 399 How many minutes are there between 2:41 AM and 6:05 AM? 204 How many minutes are there between 5:24 PM and 11:23 PM? 359 What is 687 minutes before 2:58 PM? 3:31 AM What is 557 minutes after 4:04 AM? 1:21 PM How many minutes are there between 6:22 PM and 3:20 AM? 538 What is 142 minutes after 7:46 AM? 10:08 AM What is 142 minutes after 3:11 PM? 5:33 PM What is 313 minutes before 6:08 AM? 12:55 AM How many minutes are there between 7:36 PM and 3:18 AM? 462 What is 155 minutes before 10:37 A
{ "pile_set_name": "DM Mathematics" }
2) - sqrt(12))))**2*-1. -153/121 Simplify 2*((-6*(sqrt(68) + (sqrt(68) + -1 - sqrt(68))))**2 + 1 + 1) + -5 + 0. -288*sqrt(17) + 4967 Simplify (sqrt(171)*-2 + 2 + (3*(1 + sqrt(171) + sqrt(171)))**2)*2 + (6*(-3 + (sqrt(171) - sqrt(171)*1) + sqrt(171) + sqrt(171) + 2))**2. -228*sqrt(19) + 36994 Simplify 3 + -4 + (sqrt(120)/(sqrt(36) + sqrt(180)/sqrt(5)))/((sqrt(384) - -1*sqrt(384))*-6) + 5. -sqrt(5)/576 + 4 Simplify 0 + (sqrt(180)/(sqrt(20)/(sqrt(4)*-1)))/((sqrt(528)*-1)/sqrt(11)). sqrt(3)/2 Simplify -6*(1*(-3 + sqrt(720))**2 + -3)*-5*6. -12960*sqrt(5) + 130680 Simplify -4 + (3*((-2*(sqrt(117) - (sqrt(117) - sqrt(117)*1)) - (-2*sqrt(117)*4 - sqrt(117)))/(((sqrt(36) - sqrt(9))*-3 - sqrt(9)) + sqrt(36)*3) + 4))**2. 252*sqrt(13) + 6293/4 Simplify ((-3*-2*sqrt(225))/(sqrt(9) + 3*sqrt(36)/sqrt(4)))/(-6*sqrt(15)/(1*sqrt(3)*-5 + sqrt(3))). sqrt(5) Simplify (2*sqrt(102)*5)/(sqrt(24)/sqrt(4)*4) + ((4*2*sqrt(1088) + sqrt(1088))**2 - 5*sqrt(1088)*-2). 165*sqrt(17)/2 + 88128 Simplify (-5 + -4 + sqrt(4500) + -1 + 2*(sqrt(4500) + 3) + -3)**2. -1260*sqrt(5) + 40549 Simplify (1*(-3*-1*(sqrt(1100)*2 + 5) + (sqrt(1100) + (sqrt(1100) + sqrt(1100)*-1)*-3 - (0 + sqrt(1100))*1) + 1))**2. 1920*sqrt(11) + 39856 Simplify 6*(sqrt(1008) + 2 + 2 + -3)**2 + 1*(3*(0 + (sqrt(343) - (sqrt(343) + -2)) - sqrt(343)))**2. -108*sqrt(7) + 9177 Simplify (2*1*(sqrt(204) + (sqrt(204) + sqrt(204) + 2*sqrt(204) - sqrt(204))))/(sqrt(24)/(1*sqrt(8)) + sqrt(54)/sqrt(2) + sqrt(27)). 16*sqrt(17)/7 Simplify 4*(1*(sqrt(539)*-1 + -3) + (3 + -2*sqrt(539)*3)**2)*6. -6216*sqrt(11) + 465840 Simplify -5*6*(-3 + -4 + sqrt(176) + (2*sqrt(176) - sqrt(176)) + (sqrt(176) + ((sqrt(176) + 1)*-6 - sqrt(176)) - sqrt(176))**2) + 4. -259586 - 10320*sqrt(11) Simplify (-4*(5*(sqrt(3146) - 2*sqrt(3146)) + 6*sqrt(3146)*1))/(((sqrt(98)*1 + sqrt(98))*-2 + sqrt(98) - (sqrt(98)*2 + sqrt(98))*-4)*1). -44*sqrt(13)/63 Simplify (((sqrt(440)*-2)/sqrt(11))/(sqrt(4) + -1*sqrt(324)))/((2*sqrt(405))/sqrt(9)*-5)*6. -sqrt(2)/20 Simplify (-5 + (sqrt(20) + sqrt(80)/sqrt(4))/sqrt(10) + (sqrt(20)*1)/sqrt(10) + ((sqrt(72)*2*-3 - sqrt(72))*-1)**2)*4. 12*sqrt(2) + 14092 Simplify (5*-1*(0 + sqrt(704)) + 0)**2 + -6*(1*sqrt(110)/(4*sqrt(20)/sqrt(2)))**2. 140767/8 Simplify (5*-2*(sqrt(1500) - sqrt(1500)*1 - sqrt(1500)))/((sqrt(720) + 2*sqrt(720)*5 + sqrt(720))*3)*-5. -125*sqrt(3)/108 Simplify sqrt(5200)/sqrt(4) - (sqrt(13) + -1*sqrt(13)*-5 + sqrt(13)) - (sqrt(104)/(2*(sqrt(8) + sqrt(392)) - sqrt(8)) + 2)**2. -913/225 + 41*sqrt(13)/15 Simplify -3*(-5*5*(sqrt(95) - (sqrt(95) + (2*sqrt(95) - sqrt(95)))))/(sqrt(35)/(-5*sqrt(21)/sqrt(3))). 375*sqrt(19) Simplify -3 + 3 + -1 + sqrt(700) + 5 + sqrt(700) + -2*((-1*sqrt(5040))/(sqrt(45)*-1))**2. -220 + 20*sqrt(7) Simplify (-4*(0 + ((sqrt(19) - (-3 + sqrt(19))) + 0 - (-2 + sqrt(76))))**2 + -3)*-4. -320*sqrt(19) + 1628 Simplify ((-5*(sqrt(80) - -2*sqrt(80)))/(sqrt(16)*-3))/((sqrt(1152) - (sqrt(1152)*-1 - sqrt(1152)))/(sqrt(18)/sqrt(144))). 5*sqrt(5)/288 Simplify (4 + 4 + -5*(sqrt(704) + sqrt(704) + 2 + sqrt(704)) - (-3 + 1*(-1 + sqrt(704) + 2)))**2. 180224 Simplify -4*3*(-2 + (1*sqrt(648)*-1)/((sqrt(72)/sqrt(3))/sqrt(4) - (sqrt(6) - 6*(sqrt(18)/sqrt(3) + sqrt(6))))). 6*sqrt(3) + 24 Simplify (sqrt(336)/sqrt(8)*4 + sqrt(42) + (-2*sqrt(504) + sqrt(504))/sqrt(12))/(-5*(sqrt(6) - (sqrt(54) + sqrt(6))) - sqrt(6) - 2*sqrt(6)*-5). sqrt(7)/6 Simplify (sqrt(171)/(sqrt(9)/sqrt(3)*3))/(sqrt(36)/sqrt(300) - (sqrt(3) + (2*sqrt(24))/sqrt(8))). -5*sqrt(19)/42 Simplify (3*(-2 + sqrt(1216)*4 + (sqrt(1216) - sqrt(1216)*1*-3) + -5 + sqrt(1216)*-4 + sqrt(1216)*-2*-2))**2. -8064*sqrt(19) + 700857 Simplify (-3*sqrt(648) - (sqrt(72)*-3)/sqrt(4))/(6*(-1*sqrt(9)*-1 + sqrt(900)*-1 + sqrt(900))). -5*sqrt(2)/2 Simplify ((4*sqrt(560))/sqrt(5) - (-3*(sqrt(343) + -3))**2) + -2. -3170 + 394*sqrt(7) Simplify (-2*(sqrt(272) + 0 + sqrt(272)) - (sqrt(34)/sqrt(2)*-6 + sqrt(17) - (sqrt(612) + -1)))**2 + -2*(1*-1*sqrt(272)*-1)**2. -118 + 10*sqrt(17) Simplify ((1*(sqrt(77) + sqrt(77)*-2) + (sqrt(77) - (sqrt(77) - sqrt(77)*1*5)))/(sqrt(264)/sqrt(6)*1))**2 + -2 + 3. 29 Simplify (6*sqrt(24)/(sqrt(192)*1))**2 - (4 + (sqrt(6)/sqrt(3) + -2)*-3). -11/2 + 3*sqrt(2) Simplify ((2*(-3*sqrt(114) - sqrt(114)) - sqrt(114)) + sqrt(114) + (sqrt(114) - sqrt(114)*1*6))/((sqrt(486) - (sqrt(486) + 2*sqrt(486))*2)*-3). -13*sqrt(19)/135 Simplify ((sqrt(1700) - (0 + sqrt(1700) + 4) - sqrt(1700)) + -4 - (-1 + sqrt(1700) + 3 + 3))**2*-6. -41814 - 3120*sqrt(17) Simplify ((sqrt(33)*-3)/sqrt(11) - sqrt(3) - (2 + sqrt(48))**2) + -1*-6*(1 + sqrt(108))**2. 52*sqrt(3) + 602 Simplify (((5 + sqrt(243) - (-1 + sqrt(192) + sqrt(3))) + 2*sqrt(363) + 3 + 1)*5)**2. 11000*sqrt(3) + 38800 Simplify (((sqrt(27)*-2)/sqrt(3))/((-2*sqrt(12))/sqrt(4)))**2 + -2*4*6*(sqrt(12))**2 + -5. -578 Simplify ((3 + (1 + (sqrt(2299) - sqrt(2299)*1) - sqrt(2299)))**2 + (3 + 3*sqrt(2299))**2 + -5)*-3. -69030 - 330*sqrt(19) Simplify ((-5*(sqrt(76) - (sqrt(76) - -4*(2*sqrt(76) + sqrt(76)))))/(4*(3*sqrt(256) - sqrt(4)))*3)**2. 38475/529 Simplify -5 + -3 + sqrt(176)*-6 + (-5*sqrt(110) - sqrt(110))/sqrt(10) + -4. -30*sqrt(11) - 12 Simplify (-3*-2*sqrt(2100)*2)/((2*sqrt(280)*1)/sqrt(10)). 30*sqrt(3) Simplify (((-2*sqrt(520)*-5 + sqrt(520) - sqrt(520))/sqrt(10) - (2*(sqrt(572) - (sqrt(572) - 1*sqrt(572))))/sqrt(11))*2*-2)**2. 53248 Simplify (-5 + -3 + (-1 + sqrt(720) + -3 - (sqrt(720) - (-2*sqrt(720) + sqrt(720) + -1)) - -5*(sqrt(720) + 3*6*sqrt(720))))**2. -29328*sqrt(5) + 6362089 Simplify (2 + (-4 + sqrt(1584)*-3*2 - -4*-1*sqrt(1584)*1) + -1)**2. 720*sqrt(11) + 158409 Simplify ((5*sqrt(192) + 5*sqrt(108))/(4*-4*sqrt(6) - (sqrt(6) + sqrt(294)*4)))**2. 98/81 Simplify 3*((sqrt(1872) + (-2*sqrt(1872))**2)*1 + 0 + ((sqrt(1872) + (sqrt(1872)*-2 - sqrt(1872)) - sqrt(1872))*4*-4)**2 + -5). 36*sqrt(13) + 12961713 Simplify ((-6*sqrt(15)*-2 - sqrt(15))/((sqrt(60)/sqrt(2))/sqrt(10)) - -2*(sqrt(1620) - (sqrt(1620) + 0))) + 4. 4 + 11*sqrt(5) Simplify 2 + -4 + (4 + (sqrt(75) - (sqrt(75) - (-4 + 4 + sqrt(75)))) + sqrt(75) - (sqrt(75)*4 + -3 + 4))**2. -60*sqrt(3) + 307 Simplify 2 + 3 + -3*(sqrt(720) - (sqrt(720) - (sqrt(720) + 2))) - (2 + (-5 + (sqrt(720) - (3*sqrt(720) + -3)))**2). -2887 - 132*sqrt(5) Simplify 4 + -4*((5 + sqrt(147) + sqrt(147) + 0 - sqrt(147)) + 1)**2*-2. 672*sqrt(3) + 1468 Simplify (((sqrt(70) + 3*sqrt(70)*-2 + sqrt(70))*-3)/((sqrt(10) - (sqrt(250) + sqrt(10)))*-4*-1) + -3)*-3. 9*sqrt(7)/5 + 9 Simplify 5 + (-3*-2*sqrt(56)*1)/(6*sqrt(512)*2 + sqrt(512)). 3*sqrt(7)/52 + 5 Simplify (2*(sqrt(900) + 4*2*sqrt(900) - sqrt(900)))/((-1*sqrt(200)/sqrt(5))/sqrt(8)*-4). 24*sqrt(5) Simplify (4 + sqrt(475) + 2)*-5 + -4 - (0 + sqrt(76)/(sqrt(64)*-1) + 3). -99*sqrt(19)/4 - 37 Simplify ((2*sqrt(95)*1 - ((sqrt(95)*1 - sqrt(95))*-3 - sqrt(95)))/(-2*sqrt(320)*2) + 3)*2. -3*sqrt(19)/16 + 6 Simplify (4*(sqrt(66) + (sqrt(66) - 2*sqrt(66)*2) + sqrt(66) - (sqrt(66) + (-2*sqrt(66) - sqrt(66))*2 + sqrt(66)))/(sqrt(600)*-2 - sqrt(6)*2*4))**2 + 0. 99/49 Simplify ((3*(sqrt(84) - (2*sqrt(84) - sqrt(84))) + sqrt(84))/(sqrt(144)/sqrt(192)) + -1*1*sqrt(1008) + (-5 + 2 + sqrt(1008))**2)*3. -240*sqrt(7) + 3051 Simplify ((sqrt(150)*1)/sqrt(3) - (sqrt(4050) + -1) - (2 + (-1 + sqrt(72))*6)**2)*6. -15642 + 1488*sqrt(2) Simplify -3 + 6*(sqrt(684) + -1 + sqrt(684) - sqrt(684))*-2 + (sqrt(684)*-1*-4 + sqrt(684) + 5*(sqrt(684) + 1 + sqrt(684)))**2. 828*sqrt(19) + 153934 Simplify 0 + 1 + sqrt(176) + (-4 + sqrt(176) + 1)**2 + 5*(2*sqrt(121)*5)/(sqrt(539) + sqrt(539)*2 - sqrt(539) - sqrt(11)). -210*sqrt(11)/13 + 186 Simplify (-3*(4 + -4*-4*sqrt(75)*2 + -5))**2 + -2. -2880*sqrt(3) + 691207 Simplify (-2*(sqrt(51) + sqrt(204)/sqrt(100)))/(sqrt(12) + sqrt(768) + (sqrt(768) - 2*sqrt(768)))*-5. 6*sqrt(17) Simplify ((3 + -3*(-1 + sqrt(117) + 5)*-1*-2)*4)**2. 12096*sqrt(13) + 74448 Simplify ((5*(sqrt(68) + 2 + sqrt(68) + sqrt(68)) + sqrt(68) + 6*(sqrt(68) - (sqrt(68) + 1)))**2 - (-5 + (-1 + sqrt(68))*-6)) + 0. 268*sqrt(17) + 17423 Simplify (((-4*-2*sqrt(448))**2 + -5 - (sqrt(448) - ((2 + sqrt(448))*6)**2)*-4) + 2)*4 + 4. -145672 - 18304*sqrt(7) Simplify (2*-3*(5 + 0 + sqrt(272) + -4*sqrt(272)*5)*-4)**2. -437760*sqrt(17) + 56572992 Simplify (-5*(-1*sqrt(13)*-4 + sqrt(52) + sqrt(52) + 0) + (2 + sqrt(52)/(sqrt(16)/sqrt(4)))*-4 + 5)**2 + 3. 264*sqrt(13) + 251
{ "pile_set_name": "DM Mathematics" }
are there between 6:15 PM and 6:51 PM? 36 What is 432 minutes before 5:07 PM? 9:55 AM What is 366 minutes before 8:15 PM? 2:09 PM How many minutes are there between 4:44 AM and 1:29 PM? 525 What is 344 minutes after 2:19 AM? 8:03 AM What is 252 minutes after 9:57 AM? 2:09 PM How many minutes are there between 11:58 PM and 4:54 AM? 296 How many minutes are there between 10:35 PM and 3:26 AM? 291 How many minutes are there between 5:25 PM and 5:31 PM? 6 How many minutes are there between 5:11 AM and 10:13 AM? 302 How many minutes are there between 2:47 AM and 2:53 AM? 6 How many minutes are there between 6:31 AM and 7:33 AM? 62 What is 277 minutes before 2:14 AM? 9:37 PM How many minutes are there between 3:21 AM and 8:16 AM? 295 How many minutes are there between 10:42 AM and 9:45 PM? 663 What is 315 minutes after 12:27 PM? 5:42 PM What is 240 minutes before 9:24 AM? 5:24 AM How many minutes are there between 8:25 AM and 6:48 PM? 623 How many minutes are there between 8:55 AM and 8:59 AM? 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7:06 PM What is
{ "pile_set_name": "DM Mathematics" }
*4 - 2/15*k**5. Let g(m) = -23*m**2 + m. Let j(l) = -6*g(l) + 17*o(l). Factor j(f). 2*f*(f - 3) Find b such that 20/13*b + 2/13*b**2 - 22/13 = 0. -11, 1 Find x, given that 37/5*x**2 - 51/5*x + 3*x**3 - 1/5*x**4 + 0 = 0. -3, 0, 1, 17 Let h be 3/(-6)*(919 - 919). Let 1/5*q**3 + 3/5*q**2 + 0 + h*q = 0. What is q? -3, 0 Let g(n) be the first derivative of 2*n**5 - 2/3*n**3 + 17/2*n**2 + 146 - 8*n - 1/6*n**6 - 4*n**4. Factor g(p). -(p - 8)*(p - 1)**3*(p + 1) Suppose 5*f - 2*s = -55, 16 = 2*s + 6. Let b be 320/144 - (-2)/f. Find r, given that -2/3*r**5 + 0 - r**4 - 2/3*r + r**b + 4/3*r**3 = 0. -2, -1, 0, 1/2, 1 Determine j so that -480*j - 108*j**2 + 4*j**3 - 27*j**2 - 98*j**2 + 13*j**2 - 12*j**2 = 0. -2, 0, 60 Determine c so that -9/4 - 39/8*c - 21/8*c**2 + 3/8*c**3 + 3/8*c**4 = 0. -2, -1, 3 Let x be ((-4)/(-13))/(-2) + 56/26. Factor 4*n**2 + 29*n + n**2 + 5*n**x - 5*n**2 + 16*n. 5*n*(n + 9) Let i(f) be the third derivative of 1/140*f**5 + 0*f**6 - 16*f**2 - 1/490*f**7 + 0 + 0*f**4 + 0*f + 0*f**3. Factor i(z). -3*z**2*(z - 1)*(z + 1)/7 Let i(t) be the first derivative of t**4/4 + 48*t**3 - 579*t**2/8 + 145*t/4 - 7864. Solve i(o) = 0 for o. -145, 1/2 Let t(k) be the third derivative of -k**6/540 - 31*k**5/270 - 89*k**4/54 - 80*k**3/9 + 6*k**2 + 23. Factor t(i). -2*(i + 2)*(i + 5)*(i + 24)/9 Let p(z) be the second derivative of 3*z**4 + 203*z + 2*z**5 + 0 - 12*z**2 - 26/3*z**3. Solve p(u) = 0. -3/2, -2/5, 1 Suppose -5*v - 2*x + 6 = 0, -2*x - 7 - 5 = -4*v. Factor -24*g**3 - 160*g + 6*g**4 + 96*g**v - 82 - 4*g**4 + 178. 2*(g - 6)*(g - 2)**3 Let p(m) = 14*m**4 + 94*m**3 + 174*m**2 + 90*m. Let k(i) = 17*i**4 + 95*i**3 + 174*i**2 + 91*i. Let q(u) = 4*k(u) - 5*p(u). Factor q(c). -2*c*(c + 1)**2*(c + 43) Suppose 2*l = 12173*r - 12171*r - 10, -6 = 3*r + 4*l. Solve -6/5*n - 4/5 - 2/5*n**r = 0. -2, -1 Let l = 166 - 161. Factor 33*m**4 + 135*m**3 - 11*m**2 + l*m**5 + 12*m**4 + 0*m**4 + 146*m**2. 5*m**2*(m + 3)**3 Let h(v) = -13*v**2 + 992*v + 2171. Let g(a) = -72*a**2 + 5448*a + 11940. Let s(n) = -5*g(n) + 28*h(n). Factor s(j). -4*(j - 136)*(j + 2) Let q be 4565/1980 + (-4)/18. Let j(h) be the second derivative of q*h**3 + 12*h - 5/2*h**2 + 1/8*h**5 + 0 - 5/6*h**4. Factor j(v). 5*(v - 2)*(v - 1)**2/2 Determine c, given that 0 - 6*c - 2*c**2 + 2*c**4 + 13/2*c**3 - 1/2*c**5 = 0. -2, -1, 0, 1, 6 Let y(h) be the first derivative of -h**6/6 - 2*h**5/5 + 2*h**3/3 + h**2/2 - 776. Factor y(r). -r*(r - 1)*(r + 1)**3 Let b be 572/55 + 2 + (-24)/10. Let x(y) = -46*y + 462. Let u be x(b). Factor 0 - 3*j + 3/2*j**u. 3*j*(j - 2)/2 Suppose -q = -5*g + 17, -4 = -2*q - 4*g + 4. Let y = q + 5. What is r in -2*r + 2074 - 3*r - 2076 + y*r**2 = 0? -1/3, 2 Suppose 0 = -4*o - 2*i + 6, -4*i + 5*i = 4*o - 15. Factor 4*s**4 + 415*s**2 - s**4 - 412*s**2 + 9*s - 9*s**o - 6. 3*(s - 2)*(s - 1)**2*(s + 1) Let y(r) be the second derivative of -115/12*r**3 - 117*r + 30*r**2 - 5/24*r**4 + 0. What is j in y(j) = 0? -24, 1 Suppose -278 + 3 = -5*q. Suppose -4*i - 102 = -q*i. Suppose 2/3*z**3 + i*z**2 - 2/3*z - 2 = 0. Calculate z. -3, -1, 1 Let i(a) = -1650*a + 3. Let o be i(-2). Factor 3303*y - o*y - 4*y**3. -4*y**3 Let n(q) be the second derivative of q**5/120 - 5*q**4/18 - 31*q**3/12 - 6*q**2 - 30*q + 10. Solve n(p) = 0 for p. -3, -1, 24 Suppose -4*v = b - 41 + 33, 3*v - 23 = -5*b. Factor 680 - 1715*w**b + 17529*w**3 + 10156*w**3 + 11280*w**2 + 7100*w - 6230*w**2 + 19520*w**2. -5*(w - 17)*(7*w + 2)**3 What is c in 21/5*c**3 + 64/5*c**2 - 1/5*c**5 + 0 - 68/5*c - 16/5*c**4 = 0? -17, -2, 0, 1, 2 Solve 0*r + 1/3*r**5 - 14*r**2 + 0 - 53/3*r**3 - 10/3*r**4 = 0. -3, -1, 0, 14 Factor 105*u**2 - 153*u - 5*u**3 + 110*u + 180 - 18*u - 219*u. -5*(u - 18)*(u - 2)*(u - 1) Determine c, given that -945 + 540*c**2 - 57*c**3 + 5*c**4 - 5*c**3 - 68*c**3 - 270*c = 0. -1, 3, 21 Factor -20*n + 17*n**2 + 21*n**3 + 16*n**2 + 120 - 94*n - 25*n**3 + n**3. -3*(n - 5)*(n - 4)*(n - 2) Let u(i) be the third derivative of i**6/90 + 514*i**5/45 - i**4/18 - 1028*i**3/9 - 217*i**2 - 2. Factor u(b). 4*(b - 1)*(b + 1)*(b + 514)/3 Suppose -140*j**5 + 1912*j**2 + 2416*j + 612*j**3 + 1056 + 48*j**5 + 56*j**4 + 35*j**5 + 53*j**5 = 0. What is j? -3, -2, -1, 22 Let -25150*h - 425*h**2 - 39*h**3 + 24760*h - 2 + 2 + 9*h**3 + 5*h**4 = 0. Calculate h. -6, -1, 0, 13 Let r(w) be the second derivative of -w**8/1680 + w**7/280 + w**6/360 - w**5/40 - 32*w**3/3 - w - 62. Let a(i) be the second derivative of r(i). Factor a(n). -n*(n - 3)*(n - 1)*(n + 1) Let m(n) = 8*n**2 - 13*n - 86. Let s(z) = 4*z**2 - 6*z - 44. Let x = -484 + 479. Let k(i) = x*s(i) + 2*m(i). Factor k(f). -4*(f - 4)*(f + 3) Solve -69/2*d - 39/2*d**2 - 33/2 - 3/2*d**3 = 0 for d. -11, -1 Let m be (-22)/(-4) - ((-22)/4 + 5). Suppose 2*v = -4*f + m, -5*f - 4*v = -4*f + 9. Determine n so that 6*n + f*n - n - 3*n**2 + 4*n = 0. 0, 4 Let h(c) be the second derivative of c**6/40 + 6*c**5/5 - 171*c**4/8 + 135*c**3 - 3321*c**2/8 - 8914*c. Factor h(u). 3*(u - 3)**3*(u + 41)/4 Determine a so that 4*a**3 - 540*a**2 + 36 - 4*a - 582*a**2 + 1086*a**2 = 0. -1, 1, 9 Let y = 207523/15617 - 40/15617. Factor 3/7*s**2 - y - 90/7*s. 3*(s - 31)*(s + 1)/7 Let z(m) be the second derivative of m**5/30 - 7*m**4/3 + 196*m**3/3 + 135*m**2/2 - 20*m + 3. Let j(u) be the first derivative of z(u). What is t in j(t) = 0? 14 Let y be -2 + (-14)/(-21 + 19) + (-11)/3. Solve 2 - 2/3*s**2 + y*s = 0. -1, 3 Suppose 68*p**3 - 4816/5*p - 1696/5 - 1304/5*p**2 = 0. What is p? -2, -2/5, 106/17 Suppose -10*h - 2*j = -5*h - 162, 4*j + 156 = 5*h. Suppose -4*r = -n - 10, 0 = -34*n + h*n - 4. What is b in -4/19*b - 6/19 + 2/19*b**r = 0? -1, 3 Suppose 5*m - 3*y - 122 = -97, -1100 = -55*y. Let m*o**3 - 3/2*o**4 + 64 + 48*o - 60*o**2 = 0. What is o? -2/3, 4 Let r = 526 + -514. Let h be (-18)/30*(-40)/r. Factor h*g**2 - 9/2*g + 1. (g - 2)*(4*g - 1)/2 Let h = 80 - 77. Suppose -6 + 2 = -z - 3*w, -4*z - h*w + 16 = 0. Solve -5*d**4 + 2*d**4 + 2*d**4 + 2*d**z - 4*d + 3*d**3 = 0 for d. -2, 0, 1 Let a(v) = -4*v**3 - 226*v**2 + 668*v - 2. Let y(x) = 17*x**3 + 909*x**2 - 2673*x + 9. Let n(l) = 9*a(l) + 2*y(l). Factor n(f). -2*f*(f - 3)*(f + 111) Let a(g) = 676*g**2 + 2*g - 1. Let p be a(1). Suppose 4*z + t = 3*z + 137, 3*t - p = -5*z. Solve -60*j - z - 9*j**2 + 42*j**2 + 121 = 0. -2/11, 2 Let c(w) = -3*w**2 + 191*w - 2856. Let o be c(24). Factor 0 + o*y - 9/7*y**3 + 10/7*y**2 - 1/7*y**4. -y**2*(y - 1)*(y + 10)/7 Let o = -620/1003 - -84580/7021. Factor 36/7*v - 2/7*v**3 - 6/7*v**2 + o. -2*(v - 4)*(v + 2)*(v + 5)/7 Let u = -84877 + 84880. Suppose -4/23*l**2 + 0*l - 2/23*l**4 + 0 + 6/23*l**u = 0. Calculate l. 0, 1, 2 Factor 2*u + 2/5*u**2 - 132/5. 2*(u - 6)*(u + 11)/5 Let h(g) be the second derivative of g**4/8 + 22*g**3 + 261*g**2/4 + 2*g + 2344. Suppose h(m) = 0. Calculate m. -87, -1 Factor -203/2*f**3 - 213/2*f + 3/2*f**4 + 0 - 707/2*f**2. f*(f - 71)*(f + 3)*(3*f + 1)/2 Factor 402 + 132*v - 2/3*v**2. -2*(v - 201)*(v + 3)/3 Suppose -4/9*l**2 - 476/3 + 488/9*l = 0. What is l? 3, 119 Factor 33444*j**3 + 3480*j**2 - 13*j**4 - 42140*j**3 + 3*j**4. -2*j**2*(j + 870)*(5*j - 2) Let q be 1 + (1 - -9) - ((-7449)/(-117) + -56). Factor -1/3*p**2 - q + 11/3*p. -(p - 10)*(p - 1)/3 Let u = 10878/5 + -76136/35. Let v be -1 + (0 - (-46)/14). Factor v*t + 32/7 + u*t**2. 2*(t + 4)**2/7 Let n(r) be the first derivative of -28/5*r**5 + 0*r - 12*r**4 + 4*r**2 + 127 - 4*r**3. Determine x, given that n(x) = 0. -1, 0, 2/7 Let r(q) be the third derivative of q**6/24 - 23*q**5/12 - 265*q**4/24 + 125*q**3/2 + 608*q**2. Let r(f) = 0. What is f? -3, 1, 25 Let j(q) be the first derivative of -q**5/20 + 33*q**4/16 - 119*q**3/12 + 87*q**2/8 - 1321. What is y in j(y) = 0? 0, 1, 3, 29 Let t(f) be the first derivative of -f**4/4 + 5*f**3/3 - f**2/2 + 7*f + 8. Let l be t(5). Factor 5*q**3 + 5*q**2 + 4*q**4 + 3*q**5 - 2*q**5 - 3*q**l. q**2*(q + 1)**2*(q + 2) Let p(v) be the first derivative of 7*v**6/12 + 13*v**5/2 + 18*v**4 + 6*v**3 - 2752. Solve p(s) = 0 for s. -6, -3, -2/7, 0 Let r(d) be the third derivative of d**6/120 - 4*d**5/15 - 235*d**4/24 + 125*d**3/3 - 2000*d**2 - 1. Determine l so that r(l) = 0. -10, 1, 25 Factor 2/13*l**3 - 1384/13*l**2 + 239432/13*l + 0. 2*l*(l - 346)**2/13 Factor -1088/3*b - 1/3*b**4 - 362/3*b**2 - 43/3*b**3 - 352. -(b + 2)*(b + 4)**2*(b + 33)/
{ "pile_set_name": "DM Mathematics" }
ltiple of i(-8) and h? 21 Let y(h) = h**3 + 8*h**2 - h - 7. Let o be y(-8). Let w be ((-1 - 1)*o)/(-317). Let g = w - 4141/3170. What is the common denominator of g and -21/22? 110 Let a = 173 + -133. Calculate the least common multiple of a and 14. 280 Suppose -39 = -2*o + 5*o. Let t = o - 11. Find the common denominator of 23/6 and 2/(-4) + (-146)/t. 12 Suppose -4 = r - 2, -5*r - 8 = -d. Let s = d + 14. Calculate the lowest common multiple of s and 20. 60 Let h = 9217/1296 - 1/1296. Calculate the common denominator of -3 - ((-45)/(-4) + 0) and h. 36 Suppose 0 = -5*b - 0*b + 50. What is the lowest common multiple of b and (-4)/(-6)*9/2? 30 Let u(i) = -3*i + i**2 - 2*i - 4*i + 4 - 2*i**2. Calculate the least common multiple of 10 and u(-8). 60 Suppose 5*w = -3*z + 26, 5*z = w - 8 - 14. Let h(y) = -y**3 + 8*y**2 - 7*y + 2. Calculate the smallest common multiple of 22 and h(w). 22 Suppose -5*l + 28 = -17. Let j = 15 - l. Calculate the least common multiple of j and 8. 24 Let n = -60 + 150. Calculate the least common multiple of 12 and n. 180 Let s(d) = -3*d. Let a be s(-1). Suppose a*m = 7*m. Suppose -5*n = -m*n - 30. Calculate the smallest common multiple of 4 and n. 12 Let z = 36 - 22. What is the smallest common multiple of (14/1)/1 + 0 and z? 14 Let m = 9 + 27. Suppose f = -f + m. What is the smallest common multiple of 14 and f? 126 What is the least common multiple of (36/(-60))/((-1)/10) and 4? 12 Let o = 5 + -3. Suppose -b - 5 = -2*f, -f - 1 = -o*b - 5. Find the common denominator of -87/16 and (b - -2) + 131/(-12). 48 Let d be (-5 - -5) + (-282961)/(-32808). Let a = 1/4101 + d. What is the common denominator of a and -17/6? 24 Let v = 3802 - 45701/12. Find the common denominator of v and -89/38. 228 Let g be -2 + 2*(-417)/24. Let p = g + 109/4. Find the common denominator of p and 26/11. 22 Let h be (1 - -1) + 1235/(-138). Let u = h - 28/23. Find the common denominator of u and -9/20. 60 Let g be 2 + -1 + (-101319)/101370. Let f = g - -520273018/118265. Let m = f + -4401. What is the common denominator of 113/10 and m? 70 Suppose 17 + 91 = 12*c. Calculate the lowest common multiple of c and 21. 63 Let w(x) = 187*x + 3. Let l be w(5). Let y = l + -5569/6. What is the common denominator of 3 + -5 + (-21)/10 and y? 30 Suppose l - 1 - 17 = 0. What is the lowest common multiple of 12 and l? 36 Let t(n) = -2*n**2 - 43*n - 7. Let m(u) = -8*u - 4. What is the smallest common multiple of m(-5) and t(-21)? 252 Let n = 40 + -28. Let d be (-3)/(23/(-20) + 1). Suppose -2*t - d = -7*t. What is the least common multiple of t and n? 12 Suppose -5*j = -4*j - 33. Calculate the least common multiple of j and 9. 99 Let v be (-388646)/(-132) - (-1)/(-3). Let q = v + -2941. Calculate the common denominator of (-6)/(-8)*-2*(-62)/(-24) and q. 88 Suppose 272 = -12*d + 29*d. Calculate the least common multiple of 2/8 - (-14)/8 and d. 16 Find the common denominator of 9/24*(-188)/6 and 77/6. 12 What is the common denominator of 38/33 and (4/30)/((-468)/(-6695)) + 0? 594 Suppose -4*q - 1 = -q - 4*j, 0 = 3*q + j - 19. Suppose q*k + 32 = 9*k. What is the smallest common multiple of ((-1)/1)/(1/(-11)) and k? 88 Let o be (-1)/(-2) + 4492/(-8). Let s = 2257/4 + o. What is the common denominator of -45 and s? 4 Let r = 1 + 1. Let m be -1*(-4 - (-6)/3). Suppose -4*f + 46 + m = 0. Calculate the smallest common multiple of r and f. 12 Suppose v - 8 + 0 = 2*k, 4*v + 7 = -5*k. What is the lowest common multiple of v and 12? 12 Calculate the lowest common multiple of ((126/4)/7)/((-3)/(-6)) and 6. 18 Suppose -3*h + 3*t = 831 + 165, 0 = 4*h + 5*t + 1283. What is the smallest common multiple of h/(-18) - (-1)/(-6) and 8? 72 Suppose -2 = r, 2*g - 6*r - 50 = -r. Suppose -2*o + j - 2 = -17, -2*j - 10 = -2*o. What is the lowest common multiple of o and g? 20 Let c = -933174311063/97614 - -2773167742/261. Let v = 1065322 - c. Let w = 94/17 + v. What is the common denominator of w and 59/14? 154 Let d(g) = -5*g**3 - g**2 + 1. What is the smallest common multiple of d(-1) and 11 - (-5)/((-5)/2)? 45 Calculate the common denominator of ((-8)/(-6))/(11/363) and 11/39. 39 Let s(d) = 11*d**3 - 2 - 2*d**2 - 3 + 4 + 2. Let a = 2 - 1. Calculate the lowest common multiple of s(a) and 5. 10 Find the common denominator of (-656)/90 - 4/(-10) and ((-3)/5)/((-3)/63). 45 Suppose i + 120 = -2*i. Let u(x) = 52*x - 6. Let n be u(6). What is the common denominator of (n/i)/((-12)/10) and 8/9? 72 Let p(q) = -q + 10. Let m be p(7). Suppose 5*n = m*n + 4. Suppose n*o - o = 5. What is the least common multiple of o and 3? 15 Suppose -15 = -0*q - 5*q. Suppose i = 4*i + q. Calculate the common denominator of 147/(-30) + (-1 - i) and 53/11. 110 Let q = 5 - 1. Let l = q - -1. Suppose -3*b + 7 + l = 0. Calculate the lowest common multiple of 16 and b. 16 Let f(i) = -i**3 + 7*i**2 - 4*i - 4. Let w be f(6). Let t(v) = -v**3 + 9*v**2 - 8*v + 8. Calculate the lowest common multiple of t(w) and 16. 16 What is the common denominator of -73/6 and -1 + 2 + 300/(-88)? 66 Let y = -605/2 + 1527/5. Let b = 1005 - 9997/10. Calculate the common denominator of y and b. 10 Suppose d + d + 24 = 2*s, -27 = -2*s + 5*d. Let l be 1/((1/1)/1). Let c = 11 - l. Calculate the smallest common multiple of s and c. 110 What is the common denominator of ((-93)/60)/(2 + 2/(-2)) and (-3)/(-15) + (-766)/(-120)? 60 Let r = -3818 + 57302/15. What is the common denominator of r and -46/15? 15 Suppose -5*f = -2*l - 37, -2*f + 17 = -0*f - 3*l. Calculate the smallest common multiple of 5 and f. 35 Let a = 13 - 9. Calculate the least common multiple of 4 and a. 4 Let o(t) = t**3 + 8*t**2 + 3*t. What is the smallest common multiple of 22 and o(-2)? 198 Suppose 3*p = p + 44. Suppose -40 = 2*x - 6*x. Suppose 3*f = 4*y + 10 + x, -6 = -3*f - 3*y. Calculate the lowest common multiple of f and p. 44 Let h(i) = -i**3 - 5*i**2 + 6*i + 4. Let c be h(-6). Suppose -5 - 14 = n - 5*m, m = n - 1. Calculate the smallest common multiple of n and -2*(-5)/(10/c). 12 Let u be (-401)/(-3) - 0/(-3). Let d = u + -1906/15. Find the common denominator of 1131/(-90) + 2/5 and d. 30 Let b = -12 - -20. Calculate the least common multiple of 30 and b. 120 Let j(k) = -21*k**3 - k**2. Suppose -2*m + 17 = -3. What is the least common multiple of j(-1) and m? 20 What is the least common multiple of (-26)/(-91)*(8 - 1) and 11? 22 Suppose -5*q - 2*f + 10 = 0, -4*q = -2*f - 5 - 21. Suppose 40 = q*p + p. Calculate the lowest common multiple of p and (-74)/(-8) + 13/(-52). 72 Let r = -33 + 35. Let j be (1 - 1) + 7 + 1. What is the least common multiple of j + (-2 - (-4 - -2)) and r? 8 Suppose 4*n = 12 - 4. What is the lowest common multiple of n and 4? 4 Suppose 0*n - 16 = -3*d + 2*n, 0 = -5*d - 5*n - 15. Let r be (-1)/2 - 1/d. Find the common denominator of -1 + 132/14 + r and -17/11. 77 Suppose -2*n + 4*k - 318 = n, 5*n = -4*k - 530. Calculate the common denominator of (1/(-2))/((-10)/n) and 2/4*(-192)/33. 110 Let n = 4 + -6. Let b = n - 6. Let g = b - -13. What is the smallest common multiple of 2 and g? 10 Suppose 4*s - 5*s = -15. Calculate the lowest common multiple of s and 15. 15 What is the smallest common multiple of 4 + 14 + (-2)/1 and 22? 176 Find the common denominator of ((-52)/72)/(2/(-42)) and (-82)/6*(-3)/(-10). 30 Let r = -3926 - -23701/6. What is the common denominator of -26/25 and r? 150 Suppose 0 = 3*u + 7 - 25. Calculate the lowest common multiple of 16 and u. 48 Let u = -2 - -3. What is the lowest common multiple of u + 18 + 2 - -1 and 10? 110 Let c(y) = 2*y**2 + 3*y + 3. What is the least common multiple of c(3) and 9? 90 Let u(j) = 17*j**3 - 2*j - 1. Let z be u(-1). Find the common denominator of 2 + (-42)/z - 1 and 21. 8 Find the common denominator of (-15)/(-20) - 86/4 and (-14)/4 - (-6)/(-27). 36 Suppose -3*c - 60 = -3*h + 21, 3*h + 4*c - 46 = 0. Let i(u) = u**2 - 9*u - 16. Calculate the least common multiple of h and i(12). 220 Suppose -2*p + 3*u = -4*p - 2085, 5*p - 4*u = -5224. Let g = 2017/2 + p. Find the common denominator of g and 5/(-10)*(-26)/(-8). 8 Let g(h) = h + 1. Let t(o) = 5*o + 14. Let a(k) = 3*g(k) - t(k). Calculate the smallest common multiple of 9 and a(-6). 9 Let g = -21 - -29. Calculate the least common multiple of 7 and g. 56 Let d =
{ "pile_set_name": "DM Mathematics" }
-6 = d - 1, 3*d + 240 = 5*j. Suppose -3*l - 5*m = -0*l - 50, 5*m - 30 = -l. Suppose -168 = -l*y + 3*y. Calculate the remainder when j is divided by y. 21 Suppose -1 + 3 = v. Suppose -2*g = v*g - 16. Let r = 2634 - 2630. What is the remainder when r is divided by g? 0 Let z be (3 - 2)*2/(-2). Let d be z/6 - 211/(-6). Suppose 64 = 3*s - d. Calculate the remainder when s is divided by 18. 15 Let d(k) = 4*k. Suppose 0 = 3*f + 2*i - 169, 103*i - 106*i = -3*f + 189. What is the remainder when f is divided by d(3)? 11 Suppose -2*b - 2*a + 2605 = -3761, 0 = -2*b + 2*a + 6386. Suppose -16*q + b = -396. Calculate the remainder when q is divided by 46. 40 Let s = 121 + -97. What is the remainder when (95/(-4))/((-165)/(-24) - 7) is divided by s? 22 Let q(t) = t**3 - 7. Let k be q(0). Let v(n) = -n. Calculate the remainder when (-454)/(-46) - 786/(-6026) is divided by v(k). 3 Let m(g) = g**3 + 16*g**2 + 28*g + 3. Let l be m(-14). Let r be -1 - (3 - (l + -8 + 0)). What is the remainder when (-15)/3 + 2 - (0 + r) is divided by 1? 0 Suppose -9269 - 3295 = -36*j. What is the remainder when j is divided by 77? 41 Suppose -2*z + 1 = m, -m + 2*z = z - 7. Suppose -3*s + 39 = 3*f, f = m*s + 5*f - 64. What is the remainder when 238 is divided by s? 10 Suppose -18*n = 5*n - 1449. What is the remainder when 311 is divided by n? 59 Suppose 37 = -4*h + 3*f, 0 = -h + 6*f - f - 5. Let q(t) = -2*t + 11. Let v be q(h). Suppose 0 = -5*n + 261 - v. Calculate the remainder when n is divided by 24. 22 Suppose -15 = z - 5*d, 0 = 3*z - d - 2*d + 9. Suppose -5*v = -4*v - 5, z = 2*y + 4*v - 2. What is the remainder when 14 is divided by (9/(-6))/(y/24)? 2 Let d(a) = -a**3 + 30*a**2 - 28*a - 4. Let m(f) = -f**2 - 35*f - 227. Calculate the remainder when d(29) is divided by m(-9). 4 Suppose 16*t - 2 = 15*t. Let y be t - (-2 - (-1 - -1)). Suppose -4*n + 456 = 4*w - 0*n, -2*w = -y*n - 210. Calculate the remainder when w is divided by 28. 27 Suppose 129*v - 133*v - 9 = -385. Calculate the remainder when 575 is divided by v. 11 Let s(c) = c**3 - 7*c**2 - 7*c + 7. Let x(o) = -o**3 + o**2 + 8. Let q be x(0). Calculate the remainder when 52 is divided by s(q). 7 Suppose -2334 = 2*t + 7*g - 4*g, 2318 = -2*t + 5*g. Let d = t + 380. What is the remainder when 106 is divided by d/(-48) + 2/(-6)? 10 Let z(l) = 185*l + 4761. Calculate the remainder when z(-14) is divided by 99. 92 Suppose -3*v + 0*r + r + 1899 = 0, -5*r = -2*v + 1253. Suppose 2*l - 3 = 1, 2*l = -5*n + v. What is the remainder when n is divided by 32? 30 Suppose 27*l - 17*l - 770 = 0. What is the remainder when l + -4 - -2 - (-1 - 2) is divided by 5? 3 Let a = 521 - -27. Let d = 228 - a. What is the remainder when 62 is divided by 1/(-3 - d/105)? 20 Calculate the remainder when 3023 is divided by 68/1190 - 486/(-70). 6 Let n(m) = -11*m - 1 - 4 - 5 + 2. Let c be 13/52 + 25/(-4). Calculate the remainder when n(c) is divided by 30. 28 Suppose -20 = 3*c + 2*c. Let q be 15 - (-5 + 11 - -6). Calculate the remainder when 13 is divided by 2/(2 + c/q). 1 Let h = 44 + -14. What is the remainder when 156/(-30)*45/(-2) is divided by h? 27 Suppose 0*s - v = -s + 15, 2*v - 36 = -4*s. Suppose u + 3*d - s = 2*d, -5*u - 4*d + 53 = 0. Calculate the remainder when 61 is divided by u. 7 Suppose 0 = -63*d + 21776 + 30703. What is the remainder when d is divided by 36? 5 Suppose 57*u + 2824 = 4*m + 56*u, 3*m - u - 2119 = 0. Calculate the remainder when m is divided by 65. 55 Let j be (3 - 26/6)/((-1)/(-105)). Let a = -135 - j. Calculate the remainder when a is divided by 9/27 + 4/6. 0 Let m = 11540 + -11498. What is the remainder when 266 is divided by m? 14 Let o be 198/16 + (-222)/592. Suppose -4*s = 4*d - 128, s - o = 5*s. Calculate the remainder when 106 is divided by d. 1 Let d(g) = -g**3 - 22*g**2 - 22*g - 14. Let c(m) = -3*m**3 - 5*m**2 + 64. Calculate the remainder when c(0) is divided by d(-21). 1 Suppose -20*k + 19*k - r + 48 = 0, 5*k - 232 = -3*r. What is the remainder when 98 is divided by k? 10 Let s be 22/187 + 242/(-34). Calculate the remainder when 3 - 7/(s/207) is divided by 54. 48 Suppose -4*g - 3*b = 2*b - 337, 2*g = 5*b + 131. What is the remainder when 776 is divided by g? 74 Let b(u) be the first derivative of 200*u**3/3 + u**2/2 + 6*u - 311. Calculate the remainder when b(-2) is divided by 23. 22 What is the remainder when -8*(-26)/(1976/6213) is divided by 87? 45 Let x = -10 - -20. Let p(q) = -4*q + 56. Let v be p(11). Suppose -v*l = -0*l - 396. Calculate the remainder when l is divided by x. 3 Let u(x) = -2*x - 2. Let y be u(-1). Suppose y = 6*m - 9*m. What is the remainder when (1 - m)/(((-24)/6)/(-312)) is divided by 20? 18 Let q = -17 + 28. Calculate the remainder when (-1053)/(-162)*(-2 - -12) is divided by q. 10 Suppose 0 = -2*f - 2*o + 2, 0 = -f - 4*o - 2. Suppose -374 = f*z - 19*z. Calculate the remainder when z is divided by 6. 4 Suppose 2*d + 46*s = 48*s + 432, d + 2*s = 216. Calculate the remainder when d is divided by 97. 22 Suppose -5648 + 392 = -3*m. Suppose -m = -2*i - 10*i. What is the remainder when i is divided by 21? 20 What is the remainder when 232 is divided by (6 - 5)*1 - -17? 16 Suppose -13*a = -17648 + 6182. What is the remainder when a is divided by 15? 12 Suppose -114*x = -223*x + 3488. Let r = -260 - -379. What is the remainder when r is divided by x? 23 Suppose -5*y + 59*p - 56*p + 2400 = 0, 0 = 2*y - 5*p - 960. Calculate the remainder when y is divided by 68. 4 Let d = 14132 + -13822. Calculate the remainder when d is divided by 52. 50 Suppose -15 = 5*q, -2*q + 1 = -4*m + 127. What is the remainder when 427 is divided by m? 7 Suppose 10*v = 4*r + 192, -v - 5*r = -1 - 2. What is the remainder when 233 is divided by v? 17 Suppose 2*a - 430 = -102. What is the remainder when a is divided by 2/((24/(-930))/(-2))? 9 Suppose 10*i - 1320 = 100. What is the remainder when i is divided by 73? 69 Suppose 0 = -30*x + 16743 + 1227. What is the remainder when x is divided by 120? 119 Let z = -12548 + 13378. Calculate the remainder when z is divided by 82. 10 Suppose 37*j = 35*j + 234. Suppose -9*g + j = -45. Calculate the remainder when 195 is divided by g. 15 Let q = 51 + -4. Calculate the remainder when q is divided by (-8)/1*8/(-16). 3 Suppose 4*l = -5*n + 1206, 22*l - 21*l = 5*n - 1211. What is the remainder when n is divided by 32? 18 Calculate the remainder when ((-2)/(-1))/(2/25) is divided by 384/60 + (-420)/175. 1 Suppose -5*w + 5*z = 215, 0 = -2*z - z - 3. Let c = 49 + w. Suppose 4*q - 166 = c*y, -4*y = -4*q + 94 + 70. Calculate the remainder when q is divided by 20. 19 Suppose 32*f - 262*f = -10580. Calculate the remainder when 94 is divided by f. 2 Let k = -62 - -87. Suppose -k = i + 4*i. Calculate the remainder when 23 is divided by 16/72 - 11/9 - i. 3 Suppose -9*s - 11*s + 665 = -s. What is the remainder when 174 is divided by s? 34 Let x = -12 - 1. Let r be (-3293)/111 + (-3 - 28/(-6)). Let c = x - r. What is the remainder when 27 is divided by c? 12 Let d be (-38988)/(-81) + (-2)/6. Let r = d + -468. Let a(n) = -n**3 - 6*n**2 + 13*n + 3. Calculate the remainder when a(-9) is divided by r. 12 Let t(j) = 4*j**2 + 8*j + 8. Let p be t(-4). Suppose 3*u + 20 = 5, 5*g - 4*u = p. Suppose -2 = g*r - 22. What is the remainder when 15 is divided by r? 0 Let s(g) = g**2 + 11*g - 19. Suppose -2*l + 76 = 66. Let n be s(l). Let j = n + -49. Calculate the remainder when 22 is divided by j. 10 Suppose 2*c + 5 - 1 = 0, -3*c = -3*h + 33. Suppose -3*g - u = -104, 0 = 7*g - h*g + 3*u + 62. What is the remainder when g is divided by 9? 7 Let v = 292 - 289. Suppose -206 = -5*a + 7*h - v*h, -5*a - 2*h = -212. Calculate the remainder when 329 is divided by a. 35 Suppose 2*o - 7*o = -5*n + 405, -3*n + 180 = 4*o. Calculate the remainder when 9789 is divided by n. 69 Let s(b) = b**2 - 10*b + 19. Let r be s(7). Let g(t) = -2*t**3 + 2*t**2 - 4*t - 7. What is the remainder when g(r) is divided by (-78)/(-9) - (-4)/(-6)? 1 Let j = -14607 + 14651. What is the remainder when 307 is divided by j? 43 Calculate the remainder when 5/(10/(-112))*(-3393)/52 is divided by 159. 156 Let u = 154 - 114. Suppose 8*s - u + 0 = 0. What is the remainder when 92 is divided by s? 2 Suppose 3*o + 10*m - 25079 = 8*m, 9*o = 2*m + 75229. Calcu
{ "pile_set_name": "DM Mathematics" }
)). Let a(s) = s + 19. Let t be a(0). What is the derivative of q*d**2 - d - 6*d + 9*d + t wrt d? 26*d + 2 Suppose -2*b + 4 = s - b, -b = 0. Suppose -s*h + 83 = 3*m, -4*h + 78 = -0*h + 2*m. What is the derivative of h*q**2 - 4 - 28*q**2 + 11*q**2 + 6*q**4 wrt q? 24*q**3 Let j(p) be the first derivative of -p**4 - 184*p**3/3 + p**2/2 + 1462*p + 44. What is the second derivative of j(x) wrt x? -24*x - 368 Let l(p) be the second derivative of -253*p**4/3 - 259*p**3/6 + 23*p + 7. What is the second derivative of l(n) wrt n? -2024 Suppose -2*c = -c + 3*p - 54, -3*c = -3*p - 222. What is the derivative of -84 - 137*t**4 + c*t**4 + 5 wrt t? -272*t**3 Suppose -5*b - 4*i + 25 = -15, 3*b + 4*i = 32. What is the third derivative of 5*n**4 + 19*n + 8*n**4 + 5*n**2 + b*n - 16*n**4 + 13*n**3 wrt n? -72*n + 78 What is the third derivative of 431*s**4 + 11 - 3*s**3 - 68*s + 48*s - 13*s**2 + 57*s**4 - 74 + 23*s wrt s? 11712*s - 18 Let m(o) = -o + 1. Let s(r) = 8*r - 13. Let b(u) = -m(u) - s(u). Let z(k) = -k. Suppose 12 = 3*x + 30. Let j(v) = x*z(v) + b(v). Differentiate j(h) wrt h. -1 Let y(i) = 316285*i - 254575. Let o(x) = -7907*x + 6365. Let r(k) = 119*o(k) + 3*y(k). What is the derivative of r(c) wrt c? 7922 Let r(x) be the second derivative of -4553*x**5/20 + 1900*x**3/3 + 858*x + 1. What is the second derivative of r(u) wrt u? -27318*u Differentiate 1992*k**2 + 845 + 1174 + 1126 - 3754 with respect to k. 3984*k Find the third derivative of n**2 - 1340*n - 349138 + 349139 - 26*n**3 - 14*n**5 + 3*n**4 + 6*n**3 wrt n. -840*n**2 + 72*n - 120 Suppose 14 = 18*p + 4*p - 52. Let o(q) be the first derivative of 23/3*q**p - 23 + 0*q**2 + 19*q. Differentiate o(n) wrt n. 46*n Suppose 0 = 116*u - 110*u - 12. What is the third derivative of 26*b + 21*b**u + 13*b**3 - 26*b - 15*b**2 + b**4 + 28*b**2 wrt b? 24*b + 78 Let w = 11 + -27. Let j(z) = -z + 28. Let p be j(w). What is the derivative of -26 + p - 28 + 8*y**2 wrt y? 16*y What is the second derivative of 507*u**2 - 2*u**4 + 4134*u - 22 - 76*u**2 - 4045*u wrt u? -24*u**2 + 862 Find the third derivative of 235120*c**5 - 31*c**2 - 96*c**2 + 1911*c**4 - 9*c - 235118*c**5 wrt c. 120*c**2 + 45864*c Let h(p) be the second derivative of 15/4*p**4 + 0*p**5 - 281/6*p**3 + 0*p**2 - 1 - 1/30*p**6 + 62*p. Find the second derivative of h(n) wrt n. -12*n**2 + 90 Let f = 23 + 4. Suppose u - 4*u = -f. What is the third derivative of 5*q**5 + 22*q**2 + 0*q**2 - u*q**2 wrt q? 300*q**2 Find the third derivative of -91*b**3 + 4*b**4 + 58*b**3 - 19*b**4 + 84*b**6 + 5598*b**2 - 82*b**6 - 80*b**3 wrt b. 240*b**3 - 360*b - 678 Let r(a) = 25*a**4 + 33*a**3 + 21*a + 146. Let y(v) = 50*v**4 + 66*v**3 + 36*v + 291. Let p(j) = -7*r(j) + 4*y(j). Find the second derivative of p(g) wrt g. 300*g**2 + 198*g Let h(a) = 3048*a**2 - 249*a + 41. Let d(j) = -j**2 + j - 8. Let f(t) = 5*d(t) + h(t). Find the second derivative of f(y) wrt y. 6086 Let b(w) be the second derivative of 4*w**5/5 - 2*w**4/3 + 191*w**3/2 - 1003*w. Find the second derivative of b(u) wrt u. 96*u - 16 Let x(b) be the second derivative of 33*b**7/14 - 2935*b**3/6 - 814*b. What is the second derivative of x(m) wrt m? 1980*m**3 Find the first derivative of 54*d + 38*d - 224*d - 34 - 5*d - 2*d**2 wrt d. -4*d - 137 Let p(n) = -12*n - 57. Let t be p(-5). Find the third derivative of 27*w**t + 0*w**3 + 47 - 47 - 17*w**2 wrt w. 162 What is the third derivative of 131*w**5 - 23*w**6 - 10*w**2 + 25*w**6 - 144*w - 22*w**4 + 19*w**4 - 307*w wrt w? 240*w**3 + 7860*w**2 - 72*w Let n(g) = g + 78. Let k be n(-11). Find the second derivative of -85*x**2 - k + 127 - 58 + 48*x wrt x. -170 Let d(f) = -f**3 + 22*f - 6. Let h be d(4). Suppose 0*p - 2*p + 34 = 0. What is the derivative of -h*b - p + 0 - 8*b - 7 wrt b? -26 Suppose -2*w + 14 = 2*l, 4*l = -l + 3*w + 11. Differentiate 63*c**4 + 112*c**l - 50*c**4 - 213 wrt c. 500*c**3 Let y(z) be the first derivative of -1/3*z**6 + 0*z + 0*z**5 + 0*z**3 + 3/4*z**4 + 101 - 68*z**2. Find the second derivative of y(b) wrt b. -40*b**3 + 18*b Let x(u) be the third derivative of -221*u**7/210 + u**6/30 + 13*u**5/6 - u**3/3 - 123*u**2 - 3*u + 2. What is the third derivative of x(n) wrt n? -5304*n + 24 Find the first derivative of -20998451*z**2 - 6*z - 2790 + 20998453*z**2 + 65*z**3 - 16*z**3 wrt z. 147*z**2 + 4*z - 6 Suppose k - 12*k = -891. Differentiate 260*l - k - 165*l - 155*l with respect to l. -60 Let g(b) be the first derivative of -692*b**2 + 918*b - 133. Find the first derivative of g(i) wrt i. -1384 Let a be (-2 - -1) + (-3)/(6/(-8)). Suppose 3*v = 2*v + 3*l - 8, 2*v + 4 = a*l. What is the third derivative of -823*c**v - 5*c**6 - c**2 + 823*c**4 wrt c? -600*c**3 Let k(u) be the second derivative of -5*u**2 + 0*u**4 + 15 + u + 1/6*u**3 + 0*u**5 - 29/10*u**6. What is the first derivative of k(g) wrt g? -348*g**3 + 1 Let q(c) be the first derivative of 1181*c**3/3 + 6*c**2 + 105*c - 3601. Find the second derivative of q(x) wrt x. 2362 Let r(j) = j**3 + j**2 - 12*j + 6. Let i be r(-6). Let g be (5/3)/((-85)/i). What is the second derivative of -27*a + 83*a - 32*a + 9*a**g + 8*a**2 wrt a? 34 Let x(c) be the third derivative of 617*c**7/70 - c**5/20 + 229*c**4/24 - 858*c**2. Find the third derivative of x(p) wrt p. 44424*p Let i(x) = -1650*x**4 - 1115*x**2 + 6*x + 30. Let a(f) = 1649*f**4 + 1114*f**2 - 5*f - 25. Let g(n) = -6*a(n) - 5*i(n). Find the third derivative of g(t) wrt t. -39456*t Let f(i) = 21*i**3 - 23*i**2 - 8*i - 19. Let c(w) = 63*w**3 - 66*w**2 - 23*w - 53. Let b(j) = -6*c(j) + 17*f(j). Find the second derivative of b(z) wrt z. -126*z + 10 Let n(u) be the third derivative of -1 + 109/210*u**7 + 0*u + 49*u**2 + 19/20*u**5 - 1/6*u**3 + 0*u**4 + 0*u**6. What is the third derivative of n(m) wrt m? 2616*m Differentiate -2093*o + 4367*o + 1262 - 3923*o + 84 wrt o. -1649 Suppose 0 = -3*l + 2*n + 16, 2*l + 3*n - 6*n - 19 = 0. What is the third derivative of 77*f**2 + 23760*f**3 - 23659*f**3 + 55*f**l + 1 - 1 wrt f? 606 Let t = -3 - -5. Suppose -4*l = 3*a - 16, -4*l + 222 - 206 = 0. Find the second derivative of -2*n**2 - 6*n**5 + a*n**2 + t*n**2 + 6*n wrt n. -120*n**3 Let x(h) be the third derivative of 7*h**6/20 + 1591*h**4/8 + 187*h**2 - 2. Find the second derivative of x(w) wrt w. 252*w Let q(d) = 2*d**3 + 7*d**2 + 3*d + 2. Let v be q(-3). Find the third derivative of -45*f**2 - 28*f**v - 10*f**3 - 34*f**3 - 34*f**3 wrt f. -468 Let u(m) be the second derivative of -19*m**5/20 + 187*m**4/6 + 5042*m**3/3 - 12664*m. What is the second derivative of u(o) wrt o? -114*o + 748 What is the derivative of -165*n + 1833 - 172 + 692*n wrt n? 527 Let u(d) be the second derivative of -23/6*d**3 + 0*d**4 + 101/20*d**5 + 0 + 0*d**2 + 101*d. What is the second derivative of u(m) wrt m? 606*m Let o be 27/3 - (7 - 3). Let p = -2 - -7. What is the second derivative of p*w + 15*w**3 - 6*w + o*w - 6*w wrt w? 90*w Let t(q) be the first derivative of -30*q**3 - 9*q**2/2 + 20. Let g(r) = 45*r**2 + 4*r. Let o(a) = 7*g(a) + 4*t(a). What is the second derivative of o(w) wrt w? -90 Suppose -5*f = -0*f + 4*m + 5, 5*f + m - 10 = 0. Find the second derivative of -9 - 34 + 766*t + 50*t**f - 763*t wrt t. 300*t Let i(v) = -v**2 - 4*v - 3. Let z be i(-3). Suppose u = -z*u + o + 2, -3*u + 6 = 3*o. Find the second derivative of 16*b**u + 15*b**2 + 13*b - b + b wrt b. 62 Find the third derivative of 3998*o**2 + 2 - 192062*o**3 + 1240*o**4 + 192062*o**3 - 2 wrt o. 29760*o Let l(s) be the first derivative of -2392*s**3/3 + 1743*s**2 + 1230. Find the second derivative of l(d) wrt d. -4784 Let w(x) = 18837*x**2 - 8461*x + 85. Let o(g) = -6279*g**2 + 2820*g - 30. Let t(r) = -17*o(r) - 6*w(r). What is the second derivative of t(n) wrt n? -12558 What is the third derivative of 133*l**6 - 32*l**4 - 23*l**4 + 2*l**5 - 16*l**2 + 12*l**3 + 55*l**4 - 1 + 33*l**2 wrt l? 15960*l**3 + 120*l**2 + 72 Differentiate 57*y + 99*y + 1489 + 264*y + y**2 - 56 + 13*y wrt y. 2*y + 433 Let m(d) be the first derivative of d**4/2 - 98*d**3/3 - 570*d**2 - d + 123. What is the second derivative of m(h) wrt h? 12*h - 196 Let i(t) = 2476*t - 2961. Let u(b) = 3*b - 3. Let j(d) = i(d) + 4*u(d). Differentiate j(o) wrt o. 2488 Find the first derivative of 55769 - 65*s**2 + 53998 - 46*s**4 - 112695 wrt s. -184*s**3 - 130
{ "pile_set_name": "DM Mathematics" }
alue in -1/2, -1, -130, 0? -1 Which is the biggest value? (a) -2 (b) -0.2 (c) -0.09 (d) -0.12 c Which is the third biggest value? (a) -19 (b) 5/9 (c) 1/5 (d) -5 (e) -3 e Which is the third smallest value? (a) -15 (b) 1/5 (c) 1 (d) -3 b Which is the fourth smallest value? (a) -1/3 (b) 4 (c) -149 (d) -2/5 b Which is the second smallest value? (a) -2/25 (b) 0.4 (c) 0.2 c What is the third biggest value in -2/5, 2/269, -15, 0? -2/5 Which is the third biggest value? (a) 12 (b) -3 (c) -0.06 (d) -0.4 d Which is the fourth biggest value? (a) -5 (b) 0.5 (c) 10 (d) -0.5 a What is the biggest value in -0.5, 0.1375, 1/4, 1? 1 Which is the second biggest value? (a) 1/3 (b) 17 (c) 3 (d) -4 c Which is the second biggest value? (a) -1440 (b) -0.2 (c) 1 b What is the third biggest value in 0.06, 3, -2/17? -2/17 What is the fourth biggest value in 0.04, 3, 0.2, -2/3? -2/3 Which is the third biggest value? (a) -0.5 (b) 0.1 (c) 56 a Which is the fourth smallest value? (a) 399 (b) -7/2 (c) -0.2 (d) -0.5 (e) 1 e What is the biggest value in -3/5, -4, 468? 468 Which is the third smallest value? (a) -1/274 (b) -20 (c) 4 c Which is the biggest value? (a) -1/5 (b) 0.2 (c) -392 b What is the second biggest value in 3, -3, 21, -19? 3 Which is the second biggest value? (a) -2/5 (b) -0.1 (c) -3 (d) 6 b Which is the second biggest value? (a) -0.5 (b) 3/19 (c) 53 b Which is the second smallest value? (a) -3/4 (b) 65 (c) 8 c Which is the fifth biggest value? (a) 1/3 (b) 2/13 (c) -2 (d) 69 (e) 1/4 c What is the second biggest value in -1/4, 0.1, 1, 1.5? 1 What is the second biggest value in 0, 47, -0.2? 0 What is the second smallest value in 0.19, -1, -1/11, 4? -1/11 What is the second biggest value in 5, -3, -4, -2/167? -2/167 What is the third biggest value in 0.062, -5, -3? -5 What is the second smallest value in 0.1, -243, 7? 0.1 What is the third biggest value in 28, 0, -29? -29 What is the fourth smallest value in 1/2, 3, 68, 4? 68 Which is the third biggest value? (a) -3 (b) 3 (c) 34 a What is the third biggest value in 1/8, 3, -86? -86 What is the biggest value in -2/11, -3, -0.3, 0.05? 0.05 What is the fourth smallest value in -0.09, -4, 3, 1/4? 3 What is the fourth smallest value in -3, -1, 19, 5? 19 What is the smallest value in 28, 2, -0.022? -0.022 Which is the second biggest value? (a) -3 (b) 37 (c) -0.1 (d) 0.1 d What is the third biggest value in -8, 0.4, 2/3, -1? -1 What is the second smallest value in 5, -5, 4, 2/7, 8? 2/7 What is the smallest value in -0.7, -5, -0.5, 1/4? -5 Which is the second smallest value? (a) 2 (b) 0.1 (c) -888 b What is the second smallest value in 3/8, 3/28, 3? 3/8 Which is the second smallest value? (a) -4 (b) -8/7 (c) 0 (d) 2/3 b Which is the second biggest value? (a) 1 (b) 2 (c) 0.2 a Which is the third biggest value? (a) 5 (b) -2 (c) -36/11 c Which is the smallest value? (a) -3 (b) -1/5 (c) 7 a Which is the second biggest value? (a) 3/8 (b) 0.5 (c) 1 (d) 3 c Which is the third smallest value? (a) 4/13 (b) 2 (c) 0.049 (d) 2/17 a What is the fourth smallest value in 2/17, 1, -2, -6/5? 1 Which is the smallest value? (a) 1 (b) 35 (c) 3 a Which is the fourth smallest value? (a) 4 (b) -4/5 (c) 1/47 (d) -5/4 (e) -5 c What is the biggest value in -1, -10, -2? -1 Which is the biggest value? (a) 747 (b) -2 (c) -2/15 a What is the fourth biggest value in 0.8, 2/19, 4, -1/12? -1/12 What is the biggest value in 0.01, -5, -1? 0.01 What is the third biggest value in -21/32, -3, -5, -10? -5 What is the fourth biggest value in -2, -2/7, 1/262, 1/3? -2 Which is the smallest value? (a) 3 (b) -1 (c) 3.3 b What is the second biggest value in 3, 61, -3? 3 Which is the third biggest value? (a) 8 (b) 0.2 (c) 1 (d) 3/2 c Which is the third biggest value? (a) 3 (b) -2/11 (c) 344 b Which is the third smallest value? (a) 4 (b) 1/6 (c) 2/11 (d) 1 d Which is the fourth smallest value? (a) -2/3 (b) 1/4 (c) -3 (d) 0.59 d Which is the biggest value? (a) -13.1 (b) 0 (c) -0.4 (d) 5 (e) -5 d What is the fourth smallest value in 3, 13, 2/13, 36? 36 Which is the smallest value? (a) -5 (b) 1/425 (c) 3 (d) 0.21 a Which is the fourth biggest value? (a) -0.3 (b) 2 (c) -5/2 (d) 0.2 c What is the fifth biggest value in -3, 0.2, -6, -2/3, 1? -6 What is the second biggest value in -4, -2/13, -3/7? -3/7 Which is the second biggest value? (a) -3 (b) 0.2 (c) 0.02 c Which is the third biggest value? (a) 25 (b) -1/5 (c) 4 (d) 1/9 d Which is the second biggest value? (a) -4 (b) 3 (c) 5 (d) -0.4 (e) -8 b Which is the third biggest value? (a) -0.12 (b) 0.1 (c) 4 a What is the second smallest value in 12/17, 0.1, 15? 12/17 What is the second biggest value in -2/5, 4, -18? -2/5 Which is the second biggest value? (a) -9 (b) -11 (c) 5 a What is the third smallest value in 0.1, 67, 3/5? 67 What is the smallest value in -15, 1/2, -3/7, -0.5? -15 What is the second smallest value in 0.12, 6, -2/3, -2, -0.7? -0.7 What is the third smallest value in 3, 0.3, 1950, 0? 3 What is the second biggest value in -0.3, 0, 1, -0.001? 0 What is the smallest value in -2/9, -3, -1/10? -3 Which is the second smallest value? (a) 2/9 (b) -4/39 (c) 0 c What is the second biggest value in 1/4, -1, -1.28, -2? -1 What is the fifth biggest value in -1/4, 2/9, -0.2, 8.4, 0.5? -1/4 What is the biggest value in 3/4, -1, 1/7, -1/4? 3/4 Which is the second smallest value? (a) 11 (b) -8 (c) -3 (d) -0.4 c Which is the third smallest value? (a) 2/7 (b) -6 (c) -0.8 (d) 1 a What is the smallest value in 0.3, 3, -0.5, 10, 2? -0.5 Which is the second biggest value? (a) 1/8 (b) 4 (c) -19 (d) -3 (e) -2/7 a Which is the fourth smallest value? (a) -0.4 (b) -2 (c) -24/7 (d) 2 d What is the third smallest value in 11, -0.4, 575? 575 Which is the fifth smallest value? (a) 629 (b) -2/5 (c) -6/13 (d) -2/15 (e) 0 a What is the biggest value in -3, -6, -7? -3 Which is the second smallest value? (a) 21 (b) 3 (c) -3 b Which is the smallest value? (a) -25/4 (b) 5 (c) 19/2 a Which is the smallest value? (a) 1.4 (b) -5 (c) -0.5 (d) -15 d What is the third smallest value in -4, -0.3, 5, -86? -0.3 What is the smallest value in -0.3, -1, 127? -1 Which is the third smallest value? (a) 3/4 (b) 1/6 (c) -6/5 a What is the fifth biggest value in 0.3, 8, 3, 12, -1/3? -1/3 Which is the second biggest value? (a) -1 (b) 2/393 (c) -0.8 c Which is the smallest value? (a) 0 (b) -3/8 (c) -0.2 b What is the second smallest value in -1, -0.1, -0.14, -6, 0.5? -1 What is the second smallest value in 0.08, -0.1, 0.104? 0.08 What is the second biggest value in -1, -1/21, -4, 5? -1/21 What is the third smallest value in 1, 2/9, -15, -0.2? 2/9 Which is the third smallest value? (a) -2/3 (b) 1/4 (c) 5 (d) 0.7 d What is the third smallest value in -36, 6, 3? 6 Which is the second biggest value? (a) 1 (b) 5 (c) 89 b What is the third smallest value in 0.04, 6, -2, 1/15, 2? 1/15 What is the biggest value in -0.4, 4, -749? 4 Which is the biggest value? (a) 14/9 (b) -2/17 (c) -4 (d) -1/5 a What is the fifth biggest value in -67/5, 1, 4, -5, 0.5? -67/5 Which is the fourth smallest value? (a) 5 (b) 1 (c) 0.5 (d) 10 (e) -4 a Which is the fourth biggest value? (a) 5 (b) 4/227 (c) -2/11 (d) -5 (e) -4/5 e What is the third smallest value in 143, -1, 0.054? 143 What is the third biggest value in -0.3, -20.2, 1? -20.2 What is the third smallest value in 0, -1/10, 3/5, -60? 0 What is the third smallest value in -0.23, 33, 2, -0.2? 2 What is the second biggest value in -321, -2/7, 0.4? -2/7 What is the third biggest value in 3/7, -3, 0, 4? 0 What is the third biggest value in 1, -5, -4/5, -4/3? -4/3 Which is the fourth biggest value? (a) 0.4 (b) -1/7 (c) 3/4 (d) -0.1 b Which is the third smallest value? (a) -0.2 (b) -30 (c) 0.015 c What is the biggest value in 0, 4/3, -0.1, 5? 5 What is the third biggest value in 2/9, -2, 1, 4.41? 2/9 What is the fourth biggest value in 1/9, -25, -2/5, 2/3? -25 What is the third smallest value in -5, 9, 5, -2? 5 What is the fifth biggest value in -1, 1/3, 8.7, 0.4, 1? -1 What is the third biggest value in -52/9, -0.1, -
{ "pile_set_name": "DM Mathematics" }
ctor z(o). 3*o*(o - 2)*(o - 1)**3 Let q(l) be the third derivative of 27*l**6/40 - 17*l**5/10 - 47*l**4/8 + 7*l**3 + 240*l**2 - l + 3. What is m in q(m) = 0? -1, 7/27, 2 Suppose 1044/5*f + 0 + 3/5*f**3 - 1047/5*f**2 = 0. What is f? 0, 1, 348 Let n(o) be the third derivative of -7*o**5/26 + 53*o**4/39 - 4*o**3/39 - 313*o**2 + 3*o. Factor n(r). -2*(r - 2)*(105*r - 2)/13 Let n(v) = v**3 + 9*v**2 + 4*v - 70. Let o be n(-7). Suppose 11*h - 2*h - 36 = o. Find y, given that 5/3*y**3 + 5/3*y**5 + 0*y - 10/3*y**h + 0 + 0*y**2 = 0. 0, 1 Let t(k) = k**3 + 39*k**2 + 277*k + 214. Let w be t(-30). Let u(a) be the third derivative of 0*a**w - 11*a**2 + 1/540*a**5 + 0*a - 2/27*a**3 + 0. Factor u(m). (m - 2)*(m + 2)/9 Let c(f) be the third derivative of -f**5/20 - 151*f**4/8 - 75*f**3 - 145*f**2 - 10*f. Factor c(b). -3*(b + 1)*(b + 150) Factor 2/7*m**3 - 618/7*m**2 + 47430/7*m + 48050/7. 2*(m - 155)**2*(m + 1)/7 Let b be (-311 + (5 - 5))/(-6 - -5). Let p = -311 + b. Suppose 0 + p*q - 4/7*q**2 + 2/7*q**5 - 6/7*q**3 + 0*q**4 = 0. What is q? -1, 0, 2 Suppose -2*c - v = -7, -5*c - v + 1 = -4*v. Find s, given that -8*s + 24*s**2 - 11*s**2 - 8*s**4 + 12*s**3 - s**c + 0*s**4 = 0. -1, 0, 1/2, 2 Let h(t) = -t**3 - 8*t**2 - 4*t - 20. Let s be h(-8). Suppose s = 230*d - 224*d. Solve 0 - 2/3*y - 1/2*y**d + 1/6*y**3 = 0 for y. -1, 0, 4 Factor 489/4*p + 491/2 - 1/4*p**2. -(p - 491)*(p + 2)/4 Solve -1/2*r**2 - 731 - 733/2*r = 0. -731, -2 Let y(b) be the third derivative of -b**4/12 + 7*b**3/3 + 7*b**2. Let z be y(6). Factor 5 + 4*s**z + 1 - 22 + 12*s. 4*(s - 1)*(s + 4) Let w(m) be the third derivative of 1/150*m**6 + 0*m**3 + 0*m**4 + 0*m + 37*m**2 + 0 - 4/75*m**5. Solve w(j) = 0. 0, 4 Let b be ((-690)/414)/(-2 - (-14)/6). Let u be 52/(-39) - (b + -5). Factor -80/9*r**2 + u*r**3 + 0 + 8/3*r - 2*r**4. -2*r*(r - 3)*(3*r - 2)**2/9 Let a be (3 - -1) + (34/4 - -1). Let s = 16688 - 16686. What is m in -9/2*m**s + 1/2*m**3 + a*m - 27/2 = 0? 3 Suppose -3*x + 3*b + 127 = 97, -2*x = -5*b - 44. Determine s so that -6/5*s - s**x + 36/5 - 1/10*s**3 = 0. -6, 2 Let h be 1/(-1) - 111/(-35) - (-836)/(-1463). Let q(w) be the first derivative of -4*w**3 + 4*w - w**4 + h*w**5 - 13 + 2*w**2. Factor q(l). 4*(l - 1)**2*(l + 1)*(2*l + 1) Let x(b) be the first derivative of -3*b**4/2 + 23*b**3 - 63*b**2/2 + 248. Find l, given that x(l) = 0. 0, 1, 21/2 Let w be (11/((-33)/(-2)))/((-4)/(-42)). Let z be -6 + w + -1 - 12/(-3). Factor z - 6*s + 9/4*s**2. (3*s - 4)**2/4 Let i = -2580 - -2580. Let z(a) be the first derivative of -3/4*a**4 + 0*a**3 + i*a + 3/5*a**5 + 0*a**2 - 17. Determine g so that z(g) = 0. 0, 1 Let p(m) be the first derivative of -m**8/336 + 25*m**7/84 + 17*m**6/24 - 49*m**3/3 - 163. Let f(r) be the third derivative of p(r). Factor f(i). -5*i**2*(i - 51)*(i + 1) Let o(z) be the third derivative of -z**5/15 - z**4 - 10*z**3/3 + 439*z**2. Factor o(g). -4*(g + 1)*(g + 5) Let z be (-6)/5*88512/(-16596). Solve 48/5 + 4*l**4 - 92/5*l**2 - z*l + 8/5*l**3 = 0 for l. -2, -1, 3/5, 2 Let q = 467 + -465. Factor -7*z - 15*z - z**4 + z**q + 0*z + 24*z - 2*z**3. -z*(z - 1)*(z + 1)*(z + 2) Let s(l) be the first derivative of 152 - 1/3*l**2 - 2/45*l**3 + 4/5*l. Factor s(w). -2*(w - 1)*(w + 6)/15 Let c(l) be the second derivative of -5*l**7/42 - 3*l**6/2 - 23*l**5/4 - 55*l**4/12 + 20*l**3 + 50*l**2 - 70*l - 5. Determine x, given that c(x) = 0. -5, -2, -1, 1 Let u(m) be the second derivative of -m**5/70 + 200*m**4/21 + 401*m**3/21 - 5833*m. Determine b so that u(b) = 0. -1, 0, 401 Let z(b) = -12*b**4 + 44*b**3 - 38*b**2 + 2*b + 10. Let p(i) = 22*i**4 - 88*i**3 + 77*i**2 - 3*i - 23. Let q(t) = 2*p(t) + 5*z(t). Factor q(c). -4*(c - 1)**3*(4*c + 1) Let c(d) be the first derivative of -1/14*d**4 + 4 - 90/7*d - 39/7*d**2 - 22/21*d**3. Solve c(f) = 0. -5, -3 Let p(z) be the third derivative of 0*z + 0*z**3 + 1/140*z**6 - 2*z**2 - 1/210*z**5 + 4/735*z**7 + 0*z**4 + 45. Suppose p(f) = 0. Calculate f. -1, 0, 1/4 Let z(j) be the first derivative of 220/3*j**3 - 52*j**2 + 16*j - 71/2*j**4 + 17 - 8*j**5 + 25/3*j**6. Suppose z(y) = 0. What is y? -2, 2/5, 1 Let v(i) = -18*i**2 - 126*i - 626. Let a(n) = 10*n**2 + 64*n + 312. Let o(s) = 7*a(s) + 4*v(s). Factor o(t). -2*(t + 8)*(t + 20) Let a(i) = -16*i - 154. Let g be a(-10). Let v(y) be the third derivative of 0 + 3*y**2 + 0*y - 1/70*y**5 + 1/28*y**4 - 1/21*y**3 + 1/420*y**g. Factor v(k). 2*(k - 1)**3/7 Let g(p) be the first derivative of -2*p**6/15 + 324*p**5/25 - 79*p**4/5 - 108*p**3/5 + 32*p**2 + 1464. Find s such that g(s) = 0. -1, 0, 1, 80 Let g(c) be the second derivative of c**9/25200 + 11*c**8/5600 + 21*c**4/4 + c**2 - 56*c. Let t(i) be the third derivative of g(i). Find l such that t(l) = 0. -22, 0 Suppose -3960 = -2819*n + 4497. Factor 0*q**2 + 0*q + 0 - 8/3*q**4 - 4/3*q**5 + 0*q**n. -4*q**4*(q + 2)/3 Let k(u) = -31*u**2 + 130*u + 759. Let r(y) = 285*y**2 - 1170*y - 6830. Let p(c) = 55*k(c) + 6*r(c). Let p(d) = 0. Calculate d. -17, -9 Let i(r) = r**2 + 5*r - 176. Let b be i(-16). Let d(j) be the second derivative of 3/140*j**5 + 7*j + 0*j**2 + 0*j**3 + 5/28*j**4 + b. Factor d(m). 3*m**2*(m + 5)/7 Suppose 4*f = 4*t - 308, -5*t + 4*t - 5*f + 47 = 0. Let o be (t/90)/(4/10). Factor -4 - s - 2*s + o*s**4 - 6*s**2 + 9*s**3 - 7*s**3 - 7*s. 2*(s - 2)*(s + 1)**3 Let k(v) = 37*v + 222. Let x be k(-6). Suppose 0 = -2*t - x*i + 2*i + 2, -5*i = 5. Solve 1/3*s**3 - 1/3*s + t + 0*s**2 = 0. -1, 0, 1 Let w be 5 - 2 - ((-8)/4 + -1). Let t(c) = 2*c**2 - 12*c + 27. Let n be t(w). Determine y so that -n*y + y + 5*y**2 - 14*y = 0. 0, 8 Let z = -298 - -300. Let q(p) = -p**2 - 32*p + 70. Let c(l) = -l**2 + l + 1. Let u(r) = z*c(r) + q(r). Find f such that u(f) = 0. -12, 2 Let b = -2/54579 + 110608/39569775. Let c = 711/5075 + b. Let -16/7*a - 64/7 - c*a**2 = 0. Calculate a. -8 Let b be 12/(-5 + (-78)/(-12)). Suppose -169*w**2 + 84*w**2 + 83*w**2 - b*w = 0. What is w? -4, 0 Let a(u) be the second derivative of 5/4*u**4 - 77*u - 1/6*u**6 - 1/4*u**5 + 0 - 5*u**2 + 5/6*u**3. What is d in a(d) = 0? -2, -1, 1 Suppose -197*s + 56*s + 52*s + 51*s = -418. Let -3/2*o**3 - s*o**2 + 0 - 7/2*o = 0. Calculate o. -7, -1/3, 0 Let f(i) be the first derivative of 2*i**5/55 - 5*i**4 + 1942*i**3/11 + 560*i**2 + 6272*i/11 + 273. Let f(q) = 0. What is q? -1, 56 Determine v, given that -675/2*v - 53/2*v**4 + 391*v**2 - 729/2 + 337*v**3 + 1/2*v**5 = 0. -1, 1, 27 Find j, given that -13733*j**5 + 100*j**4 - 1340*j**2 - 268*j**3 + 1565*j - 560 + 13738*j**5 + 498*j**3 = 0. -16, -7, 1 Let u(x) = x**3 - 3*x**2 + 1565*x - 6274. Let r be u(4). Factor 137842/17*z**3 + 984/17*z - 20172/17*z**r - 16/17. 2*(41*z - 2)**3/17 Let z = -142/267 + 1085/534. Let -z*m**3 + 360*m**2 + 768000 - 28800*m = 0. What is m? 80 Let x be 6 + (-835)/150 + (-263)/(-3945). Factor -53/2 + x*v**3 - 105/2*v - 51/2*v**2. (v - 53)*(v + 1)**2/2 Factor 3/4*c**4 - 120*c**2 + 123*c + 111/4*c**3 + 0. 3*c*(c - 2)**2*(c + 41)/4 Factor -84/19 + 84/19*w**2 - 2/19*w + 2/19*w**3. 2*(w - 1)*(w + 1)*(w + 42)/19 Let y(t) = -t**2 - 22*t - 94. Let s be y(-16). Find x, given that -3*x**4 + 11*x**s + 3*x**3 + 626 + 620 - 6*x**3 - 6*x + x**5 - 1246 = 0. -2, 0, 1, 3 Let y(l) be the third derivative of l**7/105 + 19*l**6/60 + 23*l**5/6 + 75*l**4/4 - 4*l**2 - 22*l. Factor y(r). 2*r*(r + 5)**2*(r + 9) Let u(n) be the second derivative of -n + 22/3*n**3 + 1/12*n**4 + 242*n**2 + 13. Solve u(o) = 0. -22 Let j(o) be the third derivative of o**8/2016 + 2*o**7/315 + o**6/30 + 17*o**5/180 + 23*o**4/144 + o**3/6 - 88*o**2 + 17. Suppose j(m) = 0. Calculate m. -3, -2, -1 Let x(p) be the second derivative of 0*p**2 + 13/16*p**4 - 1/40*p**6 + 0 + 1/56*p**7 - 3/4*p**3 - 196*p - 21/80*p**5. Solve x(f) = 0 for f. -3, 0, 1, 2 Let q be (14/(-11 - 3))/((-1)/3). Factor -18/7*b**2 + 6/7*b**4 + 48/7 - 60/7*b + 24/7*b**q. 6*(b - 1)**2*(b + 2)*(b + 4)/7 Suppose -67*d + 2185 - 1917 = 0. Factor 32/7*n**2 + 0 - 16/7*n**3 - 40/7*n**d - 12/7*n**5 + 0*n. -4*n**2*(n + 2)**2*(3*n - 2)/7 Let j(w) be the third derivative of 0 + 7/30*w**6 - 7/6*w**4 - 2/105*w**7 - 54*w**2 - 1/3*w**5 + 0*w + 4*w**3. Factor j(r). -4*(r - 6)*(r - 1)**2*(r + 1) Let v(u) = u**3 - u**2 - u - 1. Let f(n) = -52*n**2 + 97*n - 36*n - 15*n**3 - 95*n**2 - 16*n**4 + 129*n**3. Let j(h) = f(h) + 6*v(h). Factor j(o). -(o - 6)*(o
{ "pile_set_name": "DM Mathematics" }
rue Let a = 6.8 - 9. Let c = -2.057 + -0.043. Let j = a - c. Which is greater: j or 0? 0 Let r = -0.0705 - -0.1705. Let y = 6 - 6.14. Let h = -5.86 + y. Are h and r unequal? True Let s = -3988 - -4417. Which is greater: s or 1721/4? 1721/4 Let x(s) be the first derivative of s**3/3 + s**2/2 - 17*s - 178. Let k be x(-9). Is k < 54? False Suppose 0 = -29*r + 5 + 53. Let m(a) = 3*a**2 - 4*a - 4. Let f be m(r). Is 1/409 equal to f? False Let j = 922 + -640. Let w = j + -811/3. Which is smaller: w or 11? 11 Suppose 2*s + 4*d - 34 = 0, 3*s + d - 31 = -0*s. Suppose -x + s = 8*x. Which is greater: x or -3? x Suppose -22 = -17*r - 243. Let u be (998/4)/(r/26)*-1. Is 499 greater than or equal to u? True Let u be 9*(0 + 2)*5/15. Is u at most as big as 246/37? True Let m be 7 + -16 + 5 + 6. Suppose -m*u + 70 = -3*f, u - 47 = -0*f + 2*f. Is -24 smaller than f? False Let b(t) = -t**2 + 76*t - 1435. Let s be b(41). Are 16/777 and s unequal? True Suppose -45*i + 5*i - 57013 = 31*i. Which is smaller: i or -804? -804 Let a be (-506)/(-92) - 2/4. Suppose -j - 4*j = -3*r + 37, 0 = -a*r - 4*j. Let c = -250 + 509/2. Is r less than c? True Let f(i) = -2*i**2 + 52*i - 153. Let n be f(3). Which is smaller: n or 40? n Let r(h) = -2*h**2 + 11*h + 2. Let f be r(4). Which is greater: -59 or f? f Let a be (0 - -2)*((-5)/30 - (-146)/12). Which is bigger: 31 or a? 31 Let m be (2/(-2) - 0)*2. Suppose -2*u = -3*f - 169, 11*f = u + 6*f - 95. Let p be 1/16*(m + u/36). Which is greater: p or 1? 1 Let m = -21.6 + -7.4. Let w = -217 + 216.527. Let r = w - -0.373. Is m at most as big as r? True Let n = 632 + -531. Suppose -n*j + 100*j = 245. Do -245 and j have the same value? True Let w = -0.22 - -7.22. Let n = 6.2 - w. Let t = n + 0.9. Is 17 >= t? True Let k be (-18006)/1134 + (-117)/(-91). Which is smaller: -14 or k? k Let f(t) = t**3 - 5*t**2 + 3. Let y be f(5). Suppose -y*q = -q + 10. Let j(z) = z**2 - 10*z - 29. Let w be j(-2). Is q >= w? True Let b be (70 + 8)/((-3)/2*(-2)/13). Which is bigger: b or 339? 339 Suppose 30*n + 14 = 29*n. Let a = -101 - -84. Is n != a? True Let h = 100 + 7. Let v = -129.8 + h. Let f = v + 23. Which is smaller: -0.06 or f? -0.06 Let m be (10/140)/((-4)/(-32)) - -632. Let j = m + -633. Which is bigger: j or 2? 2 Let z = 192 - 478. Let l = z - -285.841. Which is smaller: l or -1? -1 Suppose 2*h + 12 = -4*h. Let b be 5 + -65 + (1 - h). Is -58 less than or equal to b? True Let a = -710.5 + 706.5. Which is smaller: -1344 or a? -1344 Let o = 352 + -1044. Let r be (o/(-40))/(2/4). Let x = r + -17809/515. Do 1 and x have the same value? False Let x be 1/3 + 155/(-60). Suppose 0 = -h + 5*h - 5*d - 87, 2*h = 5*d + 51. Let f be (-16)/20 - h/15. Which is smaller: f or x? x Let s = 0.42 + -1.43. Let q = 0.91 + s. Which is smaller: 2.3 or q? q Suppose -3*s = -15*s + 708. Let d = s + -37. Are d and 20 nonequal? True Suppose -5*l + 3*g = 16, 2 = 220*l - 224*l - 3*g. Let z be (-2)/(-6)*(-3)/(-1). Let p = z - 5. Do l and p have the same value? False Suppose 0 = 2*h + 84*v - 88*v + 8, 22 = 5*h + 4*v. Are -0.721 and h non-equal? True Let u = 2.9 + -3.9. Let d(q) = -q**3 - 7*q**2 - 5*q - 2. Let l be d(-6). Is l at least u? False Let q be (-8)/(-28) + (-31)/(-168)*-2. Let g = 66.1 - 66.4. Are q and g unequal? True Let a = 2195 - 2033.3. Let j = 130.29 - a. Let s = -31 - j. Is s at most -0.2? False Let g = -0.05 - 7.95. Let l = 5689 - 5696. Let a = g - l. Does 54 = a? False Let u = 2962 + -59227/20. Let z = 179/260 - u. Is -1 bigger than z? False Let l(z) = z**2 + 42*z + 189. Let f be l(-5). Suppose -4*d = 4*u + 1772, f*u - 7*u - d - 1335 = 0. Which is smaller: -445 or u? u Let y(b) = b**2 - 19*b - 14. Let d be y(25). Suppose 0 = -6*f + 4*f - d. Let x be (0 - f)*(-3)/6*-1. Which is smaller: x or 33? 33 Let c be (-1220)/(-5)*(-66)/24. Let x = c - -486. Which is bigger: -186 or x? x Suppose -8*a + 36*a + 26*a = 1566. Let p be 114/4 - (-1)/2. Is a less than p? False Suppose 0 = 9*v - 657 + 45. Suppose 34 = -17*m - v. Which is bigger: m or -4? -4 Let a be (1044/120*44/(-2))/((-516)/60). Which is greater: a or 22? a Let o = -36889 + 36889.437. Does 1 = o? False Let w be ((-10012)/(-7))/((-8)/70*5310/(-236)). Is 557 at least as big as w? True Let b = 148.7 + 47.1. Let q = -196 + b. Is 254 less than or equal to q? False Let w(l) = -613*l - 2887. Let f be w(-15). Is f at least 6308? True Suppose 0 = 4*q + 799 - 803. Which is greater: q or -10/1131? q Let i be (-337568)/(-80) - (-115)/(-25). Which is bigger: i or -1? i Let y = 1/432 - 3029/2160. Let k(o) = -8*o - 41. Let c be (-2 - 15/(-10))*10. Let j be k(c). Which is greater: j or y? j Let h = -973 + 976. Let s = 2 + 3. Is h at most as big as s? True Let m be 661628/(-110) - 1/2. Let n = m - -6029. Let i = n + -61/5. Which is bigger: -2/21 or i? i Suppose 24*x - 549 = -117. Suppose -4*i - i - 2*l = -115, 0 = 3*i + 5*l - 88. Which is greater: i or x? i Suppose 55 = 5*d - 120. Let l be 1/((-7)/(-2))*(-49)/d. Which is smaller: 0.074 or l? l Let w(b) = -b**3 - 8*b**2 - 8*b + 12. Let r be w(-8). Suppose -y - r = k, 5 = 3*y - 1. Do k and -1 have the same value? False Suppose -21*j - 50 = 475. Let y be 20/j*(-25)/(-2). Let v = y + 3. Which is smaller: 2/5 or v? v Suppose 0 = 28*n - 23 - 5. Let f(o) = -3*o - 13. Let w be f(n). Which is smaller: -18 or w? -18 Let d(q) = -8*q**2 + 3*q + 10. Suppose -16*z + 13*z - 42 = 0. Let v = z - -12. Let j be d(v). Which is smaller: -29 or j? -29 Let z = 79 - 86. Let h(d) = -5*d - 19. Let k be h(z). Let o = k + -17. Which is smaller: 3/74 or o? o Let b = -60.3382 + 0.0382. Let r = b + 52.3. Which is smaller: r or 24? r Let c = -26 + 50. Let b = -138 - -121. Let w = c + b. Which is smaller: -3 or w? -3 Suppose 67*q + 4*j - 4 = 71*q, 4*q + 4 = -5*j. Is q at least -5/22? False Let v(p) be the first derivative of -2*p**3/3 + p**2/2 + p + 27. Let u be v(-1). Let h be (-4)/9 + 2/6. Which is greater: u or h? h Suppose 3*b - 11 - 4 = 2*y, 2*y = -4*b - 8. Let i be 1*((-27)/15)/(y/20). Let n(d) = -2*d + 4. Let x be n(i). Is x less than -42/5? False Let j be ((-6)/(-36))/(1/6). Let l = -7 - j. Let b be (1/(-6))/(22/l). Which is greater: b or 0? b Let g(k) = 105 + 42 - 1 + 5*k - 17. Let x be g(-28). Is -9 at least x? True Let j = -1424 - -1423.9. Is 878 equal to j? False Let b = -191 - -428. Suppose -10*x + 715 + 1655 = 0. Is b >= x? True Let a = 1/16089 + 353911/756183. Suppose 2*v - d + 15 = 12, 2*v + 8 = 2*d. Which is bigger: v or a? v Let b = -250 - -872. Let k = b - 622.3. Which is smaller: k or 17? k Let h = -51866/113 - -459. Is h >= -1? True Let q be 392202/(-28026) - -1*14. Is q greater than 10? False Let j be (-15)/(-14 - (-642)/46). Which is smaller: -1 or j? -1 Let z(r) = -r**3 - 59*r**2 + 57*r - 263. Let i be z(-60). Which is bigger: i or -62? -62 Let o = 480 - 475. Suppose -2*q + r = 181, 0 = o*q + 5*r - 140 + 555. Which is smaller: q or -86? q Let m = -233/15 + 236/15. Which is greater: m or -112? m Let j be (-5)/13*-1 - (20/26)/5. Which is smaller: j or 1/25? 1/25 Let o = 0.046 + -0.009. Let p = 46 + -47. Does o = p? False Suppose 0 = -5*u - 70 + 520. Let j be u/(-5)*(44/8 + 0). Which is greater: j or -101? j Let l(j) = j - 1. Let d be l(-11). Let g be 8138/626 + (-25 - -1). Which is greater: d or g? g Let g = 13631 - 122677/9. Is g < 2068? True Suppose -4*q - 6380 = -18080. Let b = q - 4673. Let y be 260/b - (-8)/76. Which is bigger: -1 or y? y Let l(k) = -k**3 - 46*k**2 + 34*k - 60. Suppose -9*y = 26*y + 1645. Let r be l(y). Is r at most as big as 552? True Let f(j) = 2*j + 12. Let s be f(-5). Suppose -2*n - 22 = s. Let m be (-9)/n*(7 + -51). Which is smaller: -32 or m? m Let t = -0.329 + 0.679. Let s = t - 0.45. Is 10 at least s? True Let u be (-17 + 7)*(-23)/5. Let s be u/115 + 38/(-20). Which is smaller: s or 0? s Let i = 3.85375 - 0.05375. Which is smaller: i or 1.9? 1.9 Let n = -480 - -474. Let b be (-14)/(448/48)*(-4)/n. Is 1 less than b? False Let u = 171 - 105. Let j = -46 + u. Suppose 4*c + 3*x = 15, 0 = 2*x + 2*x - j. Which is smaller: c or -1/16? -1/16 Suppose -5*b + f + 664 = 2*f, -f = -4. Let t be 11/(b/4) + 170/3. Is 57 greater than t? False Let a be 86346/615 - (-2 - (-12)/5). Is a < 140? False Let y(p) = 9*p + 4. Let h(d) = -3*d**2 + 10*d + 7. Let q(r) = 8*r**2 - 31*r - 21.
{ "pile_set_name": "DM Mathematics" }
2 = -9*j. Calculate the remainder when 815 is divided by h. 15 Suppose -4*l = u - 267, 0 = l + 5*u - 0 - 62. Calculate the remainder when 84 is divided by l. 17 Let u be -3 + (-1 - 0)/((-2)/126). Let f = u + -25. What is the remainder when f is divided by 9? 8 Let g(a) = -a**2 - 6*a + 8. Let l be g(-6). Suppose l*o - 126 = -o. Suppose 32 = 5*b - 158. Calculate the remainder when b is divided by o. 10 Suppose 4*q = 5*q - 1. Let o(b) be the third derivative of 7*b**4/6 + b**3/6 + 8*b**2. What is the remainder when o(q) is divided by 10? 9 Let j be 4/6 + (-4)/(-3). Suppose -j*g = -4*g + 52. Let k = 614 + -563. What is the remainder when k is divided by g? 25 Suppose -7 - 29 = -4*u + 3*c, -5*u + 34 = -c. Suppose -112 = -76*m + 72*m. What is the remainder when m is divided by u? 4 Suppose -4*m + 136 = -l + 5*l, 0 = 5*m - 2*l - 205. Suppose m*r = 33*r + 54. Calculate the remainder when r is divided by 5. 4 Suppose -10*w + 5*w + 80 = 0. Suppose -4*x + w = -20. What is the remainder when 49 is divided by x + -2*(-6 + 4)? 10 Suppose -513 = -4*h - 5*x, 3*h = 2*x - 5*x + 384. Calculate the remainder when h is divided by 26. 23 Let h(m) = m**2 - 5*m + 4. Let c be h(4). Suppose 5*q + 4*u = 14, 10 = 3*q - c*q + 2*u. What is the remainder when q is divided by 1? 0 Suppose 18 = u + 6. Let f = u - 2. What is the remainder when f is divided by 4 + (-6 + 3 - -3)? 2 Suppose 9*b = 13*b - 20. Suppose 3*a + 2*c = 3*c + 51, -95 = -5*a + b*c. Calculate the remainder when 77 is divided by a. 13 What is the remainder when 107 is divided by (-16)/(-136) - (1 - (-606)/(-51))? 8 Suppose 0 = -4*i - 5*v + 411, 3*i - 5*v = -2*i + 480. What is the remainder when i is divided by 34? 31 Let y = 2531 - 2508. Let o be 426/10 + (-2)/(-5). Let i = 109 - o. Calculate the remainder when i is divided by y. 20 Suppose -4*y + 65 + 99 = 0. Suppose 55*q - 248 = 51*q. Let z = 84 - q. What is the remainder when y is divided by z? 19 Suppose -61 = -5*s - 1. Let q = s + -25. What is the remainder when 10 is divided by (-16)/104 + (-41)/q? 1 Calculate the remainder when 202 is divided by 1*(-7)/1 - -33. 20 Let c(w) = -w**3 + 5*w**2 - 2*w - 4. Let f be c(4). What is the remainder when ((-3)/f)/(7/(-140)) is divided by 6? 3 Let o(w) = -45*w + 238. Calculate the remainder when 37 is divided by o(5). 11 Let y be -1 + 5 - 4 - -4. Suppose 0 = y*s + 3*d - 121, 4*s + 2*d = 8*s - 146. What is the remainder when s is divided by 5? 4 Suppose 0 = -4*i + 2*z + 112, 153 = 5*i - 0*z + 4*z. What is the remainder when 35 is divided by i? 6 Suppose u = -5*a + 1876, -a + 4*a + 2*u - 1120 = 0. Calculate the remainder when a is divided by 13. 12 What is the remainder when ((-6)/(-11))/((-26)/(-286)) is divided by 1? 0 Let d = -1 - -5. Suppose -228 = 18*i - 282. What is the remainder when d is divided by i? 1 What is the remainder when (-2)/12*2 + 64/3 is divided by 7? 0 Let l(t) = -t**2 + 11*t - 9. Suppose -65 = -5*x + 220. Calculate the remainder when x is divided by l(8). 12 Let y(v) be the first derivative of -v**4/4 - v**3/3 + v**2/2 - 3*v - 1. Calculate the remainder when y(-3) is divided by 7. 5 Suppose -6 = -2*u + 10. Let q = 46 - 9. Calculate the remainder when q is divided by u. 5 Let p(a) = -3*a. Let g(c) be the third derivative of c**5/60 + 13*c**4/24 + c**3 - 11*c**2. What is the remainder when g(-13) is divided by p(-1)? 0 Let t(u) = u**2 - 2*u. Let s be t(6). Suppose 3*x - 33 - s = 0. Suppose -63 = -4*y - x. Calculate the remainder when y is divided by 3. 2 Let i(a) = 3*a**2 - 3*a + 2. Let f be i(4). Suppose 37*y = 35*y + f. What is the remainder when 56 is divided by y? 18 Let k(g) = -g**3 + 5*g**2 - g - 3. Let y be k(4). Suppose 0 = -4*w - y + 33. What is the remainder when 29 is divided by w? 5 Suppose 635 = 10*v - 385. Calculate the remainder when v is divided by 7. 4 Let z = 15 + -11. Suppose -z*m - 46 = 14. What is the remainder when 5 is divided by m/(-35) - (-22)/14? 1 Calculate the remainder when 7 + 57*(-7)/(-21) is divided by 4. 2 Let s(i) = -i**2 + 5*i - 2. Let r be s(4). What is the remainder when 52 is divided by 21/r*12/9? 10 Let o(v) = -8*v + 4. Let b be o(1). What is the remainder when 48 is divided by 28 - ((1 - b) + -3)? 22 Let s be (-15)/(-9) - 2 - 4/(-3). What is the remainder when s/2 + 95/2 is divided by 25? 23 Suppose 0 = 130*u - 133*u + 807. What is the remainder when u is divided by 10? 9 Let y(s) = 7*s**2 - 29. Let t be y(-8). Let m = t + -216. What is the remainder when m is divided by 34? 33 Suppose 3*y - 311 = -4*v, 0 = v + y - 100 + 23. Suppose -2*b - 166 = -3*g, 2*g + v = 5*b + 209. Calculate the remainder when g is divided by 14. 10 Suppose -327 - 311 = -11*u. Calculate the remainder when u is divided by (-6)/(2 - (-38)/(-16)). 10 Suppose 49 = 5*p - 3*z - 167, 2*p - 2*z = 84. Suppose k - 39 = -4*y, -3*y + 18 = -y + 2*k. Calculate the remainder when p is divided by y*(-6)/20*-4. 9 Suppose 0 = -7*l + 20 + 106. What is the remainder when 149 is divided by l? 5 Let x(n) be the third derivative of -n**5/20 - 19*n**4/24 + 2*n**3/3 + 5*n**2. Suppose -3*j = -4*j + 39. What is the remainder when j is divided by x(-6)? 9 Suppose 3*w - 120 = 3*h, -112 = -3*w - 40*h + 41*h. Calculate the remainder when w is divided by 12. 0 Suppose 0 = 12*h - 8*h - s - 194, -4*h + 204 = 4*s. Calculate the remainder when 288 is divided by h. 43 Let z = 530 - 505. Calculate the remainder when z is divided by 12. 1 Suppose 2*v + 3*a - 3 = 0, -3*v + 4 = 3*a + a. Suppose 3*u = -4*h + 88, 5*h + v + 4 = u. What is the remainder when u is divided by (-2)/(-6) + (-38)/(-3)? 11 Let q(r) = 2*r**3 + r**2 + 4*r + 1. What is the remainder when 299 is divided by q(3)? 71 Let t(n) = -5*n - 14. Let o be t(-4). Suppose -o*x + 210 = -x. Calculate the remainder when 122 is divided by x. 38 Suppose 1279 + 79 = 2*t + 4*y, 2*t - 1373 = y. Calculate the remainder when 43 is divided by (-4)/18 - t/(-45). 13 Let v be (-3 + 4 - -2)*(-4)/(-12). Suppose -4*h = -16, w - 4*h = 12 - v. Suppose 0 = -4*i + 81 + 127. Calculate the remainder when i is divided by w. 25 Suppose 38 = 10*o - 72. Suppose -o*c + 192 = -3*c. Calculate the remainder when 70 is divided by c. 22 Let b = 470 - 351. What is the remainder when b is divided by 48? 23 Suppose 3*v = -5*w + 234 + 225, 0 = -2*v - 3*w + 306. What is the remainder when v is divided by 56? 41 Let y = 39 + -26. Let h = 17 - y. Calculate the remainder when 25 is divided by (10 - h) + (-1 - -2). 4 Suppose -2*d + 8*d = 318. Let w = d - 423. Calculate the remainder when w/(-8) + (-9)/(-12) is divided by 17. 13 Let d = 540 - 230. Suppose 5*f + 2*c = d, f + 2*c - 89 = -19. Calculate the remainder when f is divided by 16. 12 Let m(u) = -u**3 + 19*u**2 - 18*u. Let g be m(18). Suppose -2*l + 0 = -2*q - 32, g = 5*l + 5*q - 90. What is the remainder when 30 is divided by l? 13 Let m be (-3 + (-3 - -2))*2 - -2. What is the remainder when ((-6)/(-4) + -4)*m is divided by (-60)/(-9) + (-2)/3? 3 Let w = 66 + -31. Calculate the remainder when w is divided by 18. 17 Let j(r) = -4*r - 1 + 1 - 11 + r**2. Let f be j(12). Suppose -3*m + 17 + f = 0. What is the remainder when m is divided by 12? 10 Suppose -2*x = x - 6, -34 = -2*i + 5*x. Calculate the remainder when i - 7/((-21)/(-6)) is divided by 11. 9 Let j = -1 + 33. Let f(l) = -2*l**3 - 228*l**2 - 233*l - 729. Calculate the remainder when f(-113) is divided by j. 30 Let z(k) = -k**3 - 9*k**2 - 11*k - 2. Suppose 0 = 3*f - 4*f + 4. What is the remainder when 0 + f - 324/(-4) is divided by z(-8)? 19 Suppose 0 = -2*v + 7*v + 110. Let m = -4 - v. Calculate the remainder when 88 is divided by m. 16 Let t(n) = n**3 - 5*n**2 - 10*n + 14. Calculate the remainder when t(8) is divided by 8. 6 Let d = -117 - -197. Suppose 28 - d = -3*v - 2*z, 3*z = -4*v + 71. What is the remainder when 41 is divided by v? 13 What is the remainder when 12*(-1)/(-3) + (19 - -3) is divided by 15? 11 Suppose 432 = 4*s - s + 4*i, -5*i - 576 = -4*s. Suppose -6*q = -2*q - s. What is the remainder when q is divided by 10? 6 Let a(q) = 25 + q**2 - 2*q**2 + 4. Calculate the remainder when a(0) is divided by 8. 5 Suppose 3*v = -4*t + 259, -5*v + 449 = 2*t - 4*t. Suppose -d - x + 60 = 0, -d + x - 35 + v = 0. Calculate the remainder when d is divided by 12. 9 Let x(c) = -c**3 - c**2 - 4*c -
{ "pile_set_name": "DM Mathematics" }
is the thousands digit of n? 6 Suppose 4*w - 4 = 4*d, 0 = -4*w + 4 + 16. Suppose 2*h = 5*o - 5572, 0*h = -3*o - d*h + 3364. What is the hundreds digit of o? 1 Suppose 69*g - 57*g - 3396 = 0. Suppose 97 + g = 5*i. What is the tens digit of i? 7 Let r(n) = -3*n + 2. Let f be r(6). Let h(k) = k**3 + 15*k**2 - 35*k - 28. What is the units digit of h(f)? 6 Let x(d) = -9*d + 5. Let u be x(0). Suppose u*l = -2*b + 2597, 0 = b + 3*l - 1302 + 3. What is the units digit of b? 6 Let c = 108 + -110. Let z(t) = t**3 - t**2 + 4. Let x be z(c). What is the tens digit of 4 + (-621)/(-12) - 2/x? 5 Suppose -21*u + 3312 = 3*u. What is the tens digit of (-1 - u/4)*-8? 8 Let s be (-204)/17*(-2)/3. Let f be (1 - 0)/(4/s). Suppose 3*a = 2*o + 19, 0 = -5*a + 4*a - f*o + 17. What is the units digit of a? 9 Suppose -175*o + 438*o = 16618444. What is the hundreds digit of o? 1 Let q be 2/6 - (-3572)/228. What is the tens digit of (-654)/(-3*q/72)? 8 Let a(x) = x**2 - 5*x + 27. Let v be a(11). Let f = 353 + v. What is the hundreds digit of f? 4 Suppose w = -2*w - 5*k + 8, 3*w + 24 = 3*k. What is the hundreds digit of ((4578/(-8))/(-7))/((-1)/w)? 3 Let z(l) = 1177*l + 402. What is the tens digit of z(3)? 3 Let a(o) = 26 - 3 - 1495*o + 1314*o. Let x be a(-4). What is the units digit of (-5 - -3)/(1/(x/(-6)))? 9 Let a(h) be the first derivative of 81*h**2/2 + 120*h + 8. What is the tens digit of a(6)? 0 Let p(b) = 1597*b - 10. Let k be p(-1). Let y = -919 - k. What is the tens digit of y? 8 Suppose 51*u + 63*u = 104*u + 498240. What is the hundreds digit of u? 8 Let j(v) = v**2 + 5*v - 9. Let x(t) = -2*t + 25. Let i be x(16). Let k be j(i). Suppose 2*h + k*l = 23 + 2, 5*h + 5*l = 100. What is the tens digit of h? 2 Let p(q) = -4*q - 46. Let c be p(-8). Let x = c - -14. Suppose -5*w - 595 + 1890 = x. What is the tens digit of w? 5 Let d(m) = 14*m**3 + 31*m**2 - 168*m - 94. What is the hundreds digit of d(12)? 5 Suppose 3*m = s + 240239, 4*m = -934*s + 933*s + 320314. What is the tens digit of m? 7 Let o be (-18)/12*(0 - 4/3). Suppose o*z - 6*z = -3276. Suppose 72 + z = 9*q. What is the units digit of q? 9 Suppose -2*m - 3*v = -2436, -24*m - 2*v - 3654 = -27*m. What is the hundreds digit of m? 2 Suppose 105*w - 99*w = 3534. Suppose 5*h - 36 = w. What is the tens digit of h? 2 Let j(a) = -a**3 + 58*a**2 + 80*a - 1706. What is the tens digit of j(53)? 7 Let j(o) = -2*o**2 - 237*o - 101. What is the thousands digit of j(-42)? 6 Let p = -398 - -433. Suppose -774 = -37*c + p*c. What is the tens digit of c? 8 Let x(c) = 3321*c + 12. Let g be x(-3). Let r be g/(-45) - 12/90. Let f = r - 125. What is the units digit of f? 6 Suppose -11 = w + 4. Let c(j) = j**3 + 16*j**2 + 17*j + 35. Let x be c(w). Suppose -7*g - x*g = -1068. What is the units digit of g? 9 Let x(l) be the first derivative of l**3/3 - 4*l**2 - 24*l + 31. What is the hundreds digit of x(-17)? 4 What is the units digit of 15 - (-10 + 16 - 7649)? 8 Let o = -8329 + 15063. What is the units digit of o? 4 Let t(n) = n**3 + 18*n**2 - 54*n - 28. What is the hundreds digit of t(13)? 5 Let g be (-16)/(-7) - 26/91. Let s(w) = -w**2 - 14*w - 9. Let r(h) = -4*h**2 - 41*h - 27. Let b(f) = g*r(f) - 7*s(f). What is the tens digit of b(8)? 7 Let w be (-1 + (-21)/(-15))/((-9)/90). What is the tens digit of (-3*2/8)/(w/336)? 6 Let m = 130 - 57. Suppose -4*o - 45 = -m. Suppose -991 + 123 = -o*x. What is the units digit of x? 4 Suppose 3*d = -4*n + 16283, 51*d - 48*d - 3*n - 16269 = 0. What is the thousands digit of d? 5 Suppose 273925 = 37*q - 43498. What is the tens digit of q? 7 Suppose -4*f + 13604 = -0*w + 5*w, 4*w - 3*f = 10908. Suppose 10*g - w - 296 = 0. Let q = -159 + g. What is the units digit of q? 3 Suppose 0 = p - b - 1365, 959*p - 6809 = 954*p + b. What is the hundreds digit of p? 3 Let u(a) = 6*a + 9 + a - 266*a**2 + 273*a**2 + a**3. Let g be u(-6). Let x(h) = 7*h**2 - 4*h + 2. What is the tens digit of x(g)? 5 Let y(w) = -1306*w - 147. What is the thousands digit of y(-2)? 2 What is the units digit of ((-141024)/(-72))/((6/8)/((-108)/(-96)))? 8 Let n(w) = 56*w**2 - 1 - 23*w**2 + 5*w - w**3 - 29*w**2. Let k be n(5). What is the tens digit of 134/(-4)*k/((-2)/(-4))? 6 Let w be (0 + -6)/(3 + -2 - 2). Suppose -2*h - a + 964 = 0, -8*h + 964 = -w*h + 4*a. What is the tens digit of h? 8 Suppose 250*p = 20*p + 1247290. What is the units digit of p? 3 Let l = 177 + -173. Suppose -7*v + 2871 = l*v. What is the units digit of v? 1 Let b(d) = 137*d + 2. Let v be b(2). Let p be ((24885/6)/35)/((-6)/(-8)). Let h = v - p. What is the tens digit of h? 1 What is the hundreds digit of (-9 + (-52 - -12))*4488/(-14) - 5? 7 What is the thousands digit of (2 - 2/2)*(10248 + 25)? 0 Suppose -3*r = j + 303, 4*r = 2*j - 648 + 234. Let f = 102 + r. Suppose -8*s + 825 + 39 = f. What is the units digit of s? 8 Let w = -33274 + 59419. What is the tens digit of w? 4 Let o(y) = -3*y - 21. Let m(p) = 7*p + 43. Let c(r) = -2*m(r) - 5*o(r). Let z(t) = 37*t - 555. Let w be z(15). What is the units digit of c(w)? 9 Suppose 0 = -5*r + 5, f - 2*r = 2*r + 6869. What is the tens digit of f? 7 Suppose -3*n + 1905 = 2*r, 3*r - 2859 = -5*n + n. Let q = r + -507. What is the tens digit of q? 5 Let x(h) = -2*h + 24. Let w be x(12). Let t be 1*(w + 2/(6/(-3))). Let n = 48 + t. What is the tens digit of n? 4 Suppose -15464*l + 15505*l = 2491160. What is the ten thousands digit of l? 6 Let i(q) = -785*q - 184. Let x be i(-16). Suppose -17*t = -24*t + x. What is the units digit of t? 8 Let r(x) = x**3 + 6*x**2 - 17*x + 42. Let l be r(-8). Suppose 6720 = -45*f + l*f. What is the tens digit of f? 4 Let x(a) = 2*a - 15. Let u be x(9). Suppose -3*o - 13 = u*f - 82, -4*o = -f - 2. What is the tens digit of 4/f + 2720/72? 3 Let g(f) = -47 - 43 + 169 - 49 - 26*f. What is the units digit of g(-25)? 0 Let k = 561 + -556. Suppose 650 = 5*g - k*n, 5*g = 2*g - 3*n + 366. What is the units digit of g? 6 Suppose -2*a = 5*g + 2, 4 - 5 = -4*g + a. Suppose g = -y - 149 + 796. What is the units digit of y? 7 Suppose -45 = -4*m + 31. Suppose 6 = 5*b - m. Suppose 3*o - b*o = -148. What is the units digit of o? 4 Let b = 83 + -74. Suppose -2*q + 235 = b. What is the units digit of q? 3 Let s be (-1906 + 3 + -3)*3/(-6). Suppose -207 = -5*h + s. What is the hundreds digit of h? 2 Let y(l) = -7*l + 38 - 93*l**3 + 94*l**3 - 11*l + 18*l**2. Let j be y(-19). Suppose 0 = 2*s - 53 - j. What is the tens digit of s? 3 Let o be ((-270)/14 - -5) + 6/21. What is the tens digit of (21/o)/((-1)/402)? 0 Let r(t) = 16*t**2 + 366*t + 161. What is the hundreds digit of r(-45)? 0 Suppose 63*c + 24*c - 23*c = 2831424. What is the tens digit of c? 4 Let u(m) = -188*m - 105. Suppose 0 = 3*s + 12 + 6. What is the units digit of u(s)? 3 Suppose 27*k + 15*k - 358584 = 205770. What is the ten thousands digit of k? 1 Suppose 0 = 16*z - 203 + 11. Let r(s) = 14*s**2 - 17*s + 28. What is the hundreds digit of r(z)? 8 Let v = 5043 - 1538. What is the tens digit of v? 0 Let h(s) = 1776*s + 62. What is the thousands digit of h(4)? 7 Let p(b) = 75*b - 1547. What is the hundreds digit of p(23)? 1 Let c be (-10460)/(-55) + (-4)/22. Let t = c - 125. Let r = t + -12. What is the units digit of r? 3 Let r = 2266 - -8255. What is the hundreds digit of r? 5 Suppose 2 = -2*p, -4*h + 5*p = -11 - 6. Suppose h*m = m + 2420. What is the units digit of m? 0 Let i(w) = w**2 + 32*w + 84. Let k be i(-29). What is the units digit of (-4 + k + 6)*-1*600? 0 Let a be 4/48*4*3. Let u(p) = -2*p - 1 + 49*p + a. What is the units digit of u(1)? 7 Let p(l) = -31*l + 1. Let z be p(-3). Suppose -2*x + 4 = z. Let q = x + 77. What is the tens digit of q? 3 Let b = -27 - -29. Let r be 1*(b - 6 - -3). Let w = 3 + r. What is the units digit of w? 2 What is the thousands digit of (-1*212/6)/(30/(-44505))? 2 Let t be (2 - (-12)/(-8))/((-1)/6). What is the units digit of -2 - (-2 + (2 + t - 369))? 0 Let l = -18 + 9. Let p(s) = -246*s - 4 + 0 - 256*s + 492*s. What is the tens digit of p(l)? 8 Let x = -1968 - -8678. What is the tens digit of x? 1 Let c(k) = -k**2 - 21*k - 10. Let h be c(-20). Suppose -3*s - 4 = -h. Suppose 0 = -5*b - s*b + 833. What is the tens digit of b? 1 Let l(g) = g - 9. Let n be l(-7). Let d(h) = -88*h - 15*h**2 - h**3 - 12 + 100*h - 6
{ "pile_set_name": "DM Mathematics" }
14 divided by 23278? -18913 Divide 27371512 by -3421439. -8 Divide -2036284148 by 2. -1018142074 What is -141857521 divided by 205889? -689 What is -2560360 divided by 1012? -2530 Divide -32008805 by 5. -6401761 What is -69566607 divided by 1? -69566607 -375648820 divided by -93912205 4 60810094 divided by -15 -60810094/15 What is 2418038020 divided by 2? 1209019010 -58 divided by -404186 29/202093 53889111 divided by 82023 657 -9958056 divided by -2489514 4 Divide -17 by -274305. 17/274305 What is -71689833 divided by -7965537? 9 293 divided by 25772 293/25772 Calculate 5 divided by 9067963. 5/9067963 4 divided by 4607292 1/1151823 Calculate 354 divided by -1936. -177/968 What is 0 divided by 1814845? 0 What is 107666378 divided by 2? 53833189 -1 divided by 86006054 -1/86006054 Divide -52556004 by 13139001. -4 What is 108327 divided by 36109? 3 Calculate 1 divided by -37624198. -1/37624198 Divide 297158208 by -3095398. -96 What is -7503 divided by -147? 2501/49 Calculate -40843 divided by -724. 40843/724 What is 32622867 divided by 2? 32622867/2 Calculate 2324 divided by -25400. -581/6350 Divide -363516177 by -3. 121172059 Calculate 39312435 divided by -39312435. -1 What is 233331400 divided by -20? -11666570 What is 4646 divided by -10351? -4646/10351 What is 25776619 divided by -13? -25776619/13 What is 1820 divided by 67186? 130/4799 Divide -149230404 by -802314. 186 Calculate 1069854254 divided by -29. -36891526 Divide -592844047 by -1. 592844047 -6211183 divided by 39 -6211183/39 Calculate 85 divided by -39484. -85/39484 -45 divided by -8031929 45/8031929 Calculate 3967632 divided by 8. 495954 Divide 40610928 by -8. -5076366 Calculate -113824578 divided by -18970763. 6 What is -147598 divided by 232? -73799/116 -209555330 divided by 6 -104777665/3 Calculate -4915256 divided by -2683. 1832 Calculate -135 divided by -115877. 135/115877 Calculate 751954188 divided by 2076. 362213 Divide 172225692 by 57408564. 3 Divide 1283073 by 33. 38881 What is -106075140 divided by 21215028? -5 What is -577 divided by 281559? -577/281559 1576491 divided by -75071 -21 What is 19616556 divided by 72924? 269 Divide -873 by -1808. 873/1808 Divide -193597407 by -64532469. 3 What is 449 divided by -273928? -449/273928 What is 108 divided by -594451? -108/594451 What is -148 divided by 1910845? -148/1910845 What is 443 divided by 15256? 443/15256 Divide -212996015 by -3. 212996015/3 -15674807 divided by -6 15674807/6 What is 241766208 divided by 42912? 5634 Divide -1828880 by -10. 182888 What is -801276402 divided by -6? 133546067 What is -58745292 divided by -2577? 22796 What is -6497242 divided by 3248621? -2 What is 3 divided by 42214801? 3/42214801 Calculate 5 divided by 10662671. 5/10662671 Calculate 125785 divided by -39. -125785/39 What is 6134 divided by -2030? -3067/1015 Calculate 5 divided by 3888448. 5/3888448 Calculate -20001522 divided by -162614. 123 Calculate 34259154 divided by 552567. 62 Calculate 240897721 divided by -4. -240897721/4 21020 divided by 607 21020/607 Calculate 20474420 divided by 20474420. 1 What is -89269 divided by 59? -89269/59 Divide 99492560 by -40. -2487314 What is 333 divided by 985? 333/985 76 divided by -513760 -1/6760 What is -478472175 divided by 15? -31898145 Calculate -5185 divided by -46256. 5185/46256 Divide -831967 by 22. -831967/22 22272 divided by -64 -348 -3 divided by 33151432 -3/33151432 8878167 divided by 27 328821 What is 208770 divided by 3? 69590 641575902 divided by 457 1403886 What is -33587455 divided by 11? -3053405 104035 divided by 68 104035/68 Divide 163 by 292568. 163/292568 Calculate 20382 divided by 290. 10191/145 What is -1 divided by 3593000? -1/3593000 Calculate 4 divided by -8561799. -4/8561799 Divide 3 by -2905957. -3/2905957 Calculate 1853 divided by -971. -1853/971 What is 1362397 divided by -17? -80141 Divide 6342591 by -2114197. -3 Divide 12635 by 146243. 665/7697 Calculate -390917 divided by -487. 390917/487 -145886 divided by -19 145886/19 Calculate -788419730 divided by 7. -112631390 Divide 71859108 by -27939. -2572 -3753740 divided by -4 938435 Calculate 4 divided by -82450605. -4/82450605 Calculate -59827 divided by 33. -59827/33 What is 557 divided by 25348? 557/25348 Calculate -28373400 divided by 14186700. -2 Divide -1762963878 by 39. -45204202 15902313 divided by -47 -15902313/47 What is 5678911 divided by -811273? -7 Calculate -91173654 divided by 3506679. -26 Calculate 88034 divided by -59. -88034/59 Calculate 9293 divided by -6311. -9293/6311 Calculate 784101951 divided by 6. 261367317/2 Calculate 2 divided by 30080100. 1/15040050 Divide 960397702 by 1. 960397702 Calculate 51 divided by -192023. -51/192023 Divide -11728892 by -5864446. 2 Calculate 93637610 divided by 55. 1702502 Calculate -794068929 divided by 3. -264689643 436212 divided by 1 436212 Calculate 14 divided by -5952898. -1/425207 Divide 5 by 43359539. 5/43359539 -959621016 divided by 4 -239905254 Calculate 207126675 divided by -3675. -56361 Divide 9513 by 605. 9513/605 What is -215484010 divided by 35? -6156686 -35564150 divided by 29 -1226350 Divide -4225115 by 3. -4225115/3 Divide -338566636 by 1. -338566636 -70451535 divided by -77847 905 Divide -613880384 by 8. -76735048 Calculate -5006258 divided by -5006258. 1 Divide -94720486 by -4118282. 23 40 divided by 101903 40/101903 What is 3 divided by -2128305? -1/709435 -74354445 divided by -4956963 15 Divide 60287760 by -70512. -855 Divide 21241105 by -4248221. -5 Divide -67350 by -198. 11225/33 What is -521028522 divided by -138978? 3749 Divide -15863 by 4965. -15863/4965 Divide -140732924 by 1851749. -76 30793 divided by -30793 -1 16836486 divided by -6 -2806081 -47846148 divided by -2 23923074 Divide 13906938 by 73. 190506 Divide -57813408 by 2408892. -24 What is 3 divided by -2996851? -3/2996851 65993980 divided by 5 13198796 Calculate 3811 divided by 2043. 3811/2043 Divide 37131 by 13. 37131/13 -3292450 divided by 14315 -230 Calculate -44429031 divided by 213. -208587 Divide 27198147 by -8. -27198147/8 Divide -310234896 by -12926454. 24 187920 divided by 24 7830 268617 divided by -69 -3893 Calculate -3 divided by -3054248. 3/3054248 Divide 4716384 by -1168. -4038 148 divided by -163338 -74/81669 Divide 17192736 by 10692. 1608 Divide 1476563058 by -3. -492187686 What is -35987 divided by -1184? 35987/1184 Calculate 4 divided by -2095518. -2/1047759 Calculate 295031352 divided by -539. -547368 What is -17847424 divided by -278866? 64 Calculate -28759920 divided by 11130. -2584 Divide 9 by -3200678. -9/3200678 4015776 divided by 34032 118 Calculate 134 divided by 650137. 134/650137 Calculate -4943592 divided by 45774. -108 Calculate -1743376327 divided by 1. -1743376327 Calculate -2503793 divided by -34. 2503793/34 Divide 960784854 by 6. 160130809 Calculate 783 divided by -3700. -783/3700 What is -19391304 divided by 3231884? -6 Calculate -74314105 divided by 12. -74314105/12 Calculate -8196 divided by -4545. 2732/1515 -112860354 divided by 2 -56430177 What is -49005132 divided by -24502566? 2 Calculate -8 divided by -2582245. 8/2582245 Calculate 123 divided by -6976180. -123/6976180 What is 677 divided by 509166? 677/509166 Calculate -50 divided by -637. 50/637 Calculate -380153 divided by -3378. 380153/3378 17964748 divided by -3 -17964748/3 1618932 divided by 539644 3 Calculate 4 divided by 25041970. 2/12520985 Divide 3642588208 by -1. -3642588208 Divide -4602735 by -45. 102283 Calculate -18872130 divided by -1465. 12882 Calculate 9588 divided by -3432. -799/286 Divide 416 by 24965. 416/24965 -709 divided by 76667 -709/76667 -3162540 divided by 1581270 -2 194024 divided by -22 -97012/11 Calculate -1706888 divided by -853444. 2 Divide -637981948 by -2. 318990974 Divide -20820250 by 28250. -737 Calculate 134 divided by -10572. -67/5286 Calculate 5872806 divided by -14. -2936403/7 Divide 29027 by -5414. -29027/5414 What is 94825709 divided by -11? -8620519 What is -298094848 divided by 74523712? -4 What is 678 divided by 41921? 678/41921 Calculate -6807 divided by -4331. 6807/4331 191493 divided by -262 -191493/262 Calculate -43 divided by 208504. -43/208504 Calculate -133 divided by -134307. 133/134307 What is -1 divided by -2341814? 1/2341814 0 divided
{ "pile_set_name": "DM Mathematics" }
**2. Let l(f) = 140*f**2 - 1606*f. Give l(a(i)). 140*i**4 - 1606*i**2 Let i(p) = -56. Let r(k) = k - 16. Let y(t) = 2*i(t) - 7*r(t). Let q(d) = -d - 4*d + 4*d. Give y(q(w)). 7*w Let c(b) be the first derivative of -42*b**2 + 20*b**2 + 24*b**2 - 31. Let o(x) = -27*x. Give c(o(v)). -108*v Let n(t) = -122*t. Let p(y) = 789*y. Give n(p(k)). -96258*k Let h(d) = -d. Suppose -2*x - 8 = -a, 2*x - 3 = -3*a + 5. Let z(k) be the third derivative of 0*k**3 + 0*k - 7/60*k**5 + a*k**2 + 0*k**4 + 0. Give z(h(w)). -7*w**2 Let x(u) = 2*u. Let k(m) = -824046*m**2. Determine k(x(t)). -3296184*t**2 Let s(l) be the first derivative of -3*l**3 - 389. Let o(b) = 17*b. Give o(s(w)). -153*w**2 Let a(j) = 3*j**2. Let r(b) = 206*b**2 + 2*b + 294. Give r(a(c)). 1854*c**4 + 6*c**2 + 294 Let t(q) be the second derivative of -2*q**4/3 + q. Let a(h) = 129*h + 2 - 64*h - 67*h - 2. What is t(a(b))? -32*b**2 Let s(o) be the second derivative of -13*o**7/2520 + o**4/4 - 2*o. Let d(t) be the third derivative of s(t). Let m(r) = 2*r. Determine d(m(p)). -52*p**2 Let y(b) = 6*b**2. Let x(z) = -10*z**2 + 93*z + 16. Let d(o) = -4*o**2 + 32*o + 6. Let l(r) = -8*d(r) + 3*x(r). Give y(l(q)). 24*q**4 + 552*q**3 + 3174*q**2 Let p(u) be the first derivative of -u + 18. Let f(t) = 6*t - 22. Let g(n) = 2*f(n) - 44*p(n). Let y(w) = -3*w. Determine g(y(l)). -36*l Let u(z) = 4*z**2. Let m(f) = -f**2 + 24*f. Let o(p) = -16*p. Let s(h) = -2*m(h) - 3*o(h). Give u(s(x)). 16*x**4 Let z(j) = 38*j**2 - j. Let q(m) = -10*m - 24. Let g(h) = 2*h + 4. Let d(a) = -6*g(a) - q(a). Calculate d(z(t)). -76*t**2 + 2*t Let c(v) be the first derivative of v**2/2 - 8. Suppose 0*r - 2*r + 4 = 0. Let l(j) = 34*j**2 - 11*j**r - 16*j**2. Calculate c(l(u)). 7*u**2 Let d(r) = -r. Let z(s) be the second derivative of -53*s**4/3 + 12*s + 2. Give d(z(h)). 212*h**2 Let q(y) = 2*y + 22705. Let f(a) = 13*a. Give f(q(i)). 26*i + 295165 Let o(q) be the first derivative of q**2/2 - 3. Let m(u) = -2*u**2 - u + 1. Let w(f) = 253*f**2 + 121*f - 121. Let a(b) = -242*m(b) - 2*w(b). Determine a(o(t)). -22*t**2 Let x(w) = w**3 + 9*w**2 - 15*w - 10. Let m be x(-10). Let q(r) = 42*r - m*r**2 - 8*r**2 - 42*r. Let i(z) = z. Determine i(q(y)). -48*y**2 Let c(m) = -2*m. Let u(q) = -44420*q - 28. Determine c(u(o)). 88840*o + 56 Let d(n) = 7*n. Let z be (5/5)/((-1)/(-4)). Let s(x) = -z + 4 - 38*x + 30*x. Determine d(s(t)). -56*t Let j(v) = 2*v**2 - v**2 - 7*v**2 + 2*v**2. Let z(r) be the second derivative of 0*r**2 + 0 - 8*r - 1/2*r**3. Give j(z(k)). -36*k**2 Let b(h) be the third derivative of -47*h**5/60 + 11*h**2 + 2*h. Let u(a) = a**2. What is b(u(p))? -47*p**4 Suppose 0 = -5*k + 3*k. Let j(y) = 0*y + k*y - 10*y - 4*y. Let a(n) = -4*n. What is a(j(u))? 56*u Let k(w) = w - w + 0*w + 4*w. Let m(u) = -26565 + 3*u + 26565. What is k(m(t))? 12*t Let s(x) = x**3 - 2*x**2. Let g be s(-2). Let o = -14 - g. Let p(z) = 7*z**o + 0*z**2 - 11*z**2 + 7*z**2. Let m(a) = 7*a**2. Calculate p(m(i)). 147*i**4 Let u(t) = 7*t**2. Let r(o) = 66*o**2 - 5*o - 10. Let l(x) = -33*x**2 + 3*x + 6. Let m(p) = 5*l(p) + 3*r(p). Give m(u(a)). 1617*a**4 Let j(r) = -r. Let s(c) = 3*c + 4340. Calculate s(j(l)). -3*l + 4340 Let u(a) be the third derivative of -7*a**4/24 + 38*a**2. Let r(p) = -111*p. Determine u(r(q)). 777*q Let s(q) = q + 1. Let u = -29 - -31. Let j(v) = -24*v - 28. Let h(p) = u*j(p) + 56*s(p). Let g(r) = -2*r**2. Give g(h(y)). -128*y**2 Let k(u) = 100945*u**2 + 1. Let l(y) = 30*y. Calculate k(l(g)). 90850500*g**2 + 1 Let s(b) = 15*b**2. Let j(r) be the second derivative of 20*r**3/3 - 14*r - 3. Calculate j(s(d)). 600*d**2 Let a(f) be the first derivative of -3*f**2/2 - 91. Let d(v) = -v - 31. Determine d(a(l)). 3*l - 31 Let s(b) = 19*b - 7. Let f(a) = 290*a - 3. What is s(f(k))? 5510*k - 64 Let s(h) = -h**2 - 2*h. Suppose -28*d + 37*d = -18. Let n(c) = -4*c**2 - 10*c. Let g(b) = d*n(b) + 10*s(b). Let w(v) = -52*v. Determine w(g(k)). 104*k**2 Let v(l) = 2*l**2. Let o(n) = 1647350*n. Calculate o(v(f)). 3294700*f**2 Let v(x) = -34*x + 6. Let i(y) = -36*y**2 + 12*y. Calculate v(i(f)). 1224*f**2 - 408*f + 6 Let r(c) = -357*c + 66. Let y(x) = 22*x - 4. Let i(k) = 2*r(k) + 33*y(k). Let l(d) = 5*d**2. Calculate l(i(u)). 720*u**2 Let m(y) = y**2 + 96. Let s(h) = 6*h + 374. What is m(s(p))? 36*p**2 + 4488*p + 139972 Let i(u) = -7*u**2 - 1. Let m(h) = h**2. Let l(n) = i(n) + 3*m(n). Let p(q) = 6*q. Give l(p(w)). -144*w**2 - 1 Let v(r) = 3960*r. Let q(m) = 10*m**2 + 2*m. Give q(v(u)). 156816000*u**2 + 7920*u Let l(y) = -15*y - 11*y - 4*y - 9*y + 38*y. Let t(w) = -w - 3. Determine t(l(i)). i - 3 Let y(p) be the second derivative of -9 + 0*p**2 + 1/2*p**3 - 2*p. Let c(f) = -2*f. Calculate c(y(s)). -6*s Let u(g) = 6*g**2 + 3*g + 3. Let c(b) = -6*b**2 - 2*b - 2. Let j(y) = -3*c(y) - 2*u(y). Let a(r) = 21*r + 1. Determine a(j(z)). 126*z**2 + 1 Let h(u) = -6*u**2. Let f(a) be the second derivative of -a**4/12 - 37*a**3/3 - 709*a. What is f(h(l))? -36*l**4 + 444*l**2 Let i(u) be the second derivative of 1/6*u**4 + 0*u**2 + 0 + 0*u**3 - 9*u. Let x(b) = -7*b. Calculate x(i(t)). -14*t**2 Let v be -1 + (-8)/(2*-1). Suppose 5*f + 4*m = 8*m - 6, -m + 6 = f. Let y(h) = 0*h**2 + h**f - v*h**2. Let b(k) = 7*k**2. What is y(b(z))? -98*z**4 Let j(v) = 7*v**2 + 24*v - 6. Let d(s) = 13*s**2 + 44*s - 11. Let a(m) = 6*d(m) - 11*j(m). Let g(t) = 8*t + 3. Calculate g(a(i)). 8*i**2 + 3 Let b(c) = 614*c. Let t(g) = -g. Give t(b(a)). -614*a Let w(g) = 8*g. Let t(c) = -26*c**2 + 2*c + 1. Determine t(w(o)). -1664*o**2 + 16*o + 1 Let o(y) = -4*y. Let w = -1 - -6. Let x(l) be the third derivative of -l**4/12 + l**2 + 4. Let r(u) = w*x(u) - 2*o(u). Let p(i) = 8*i**2. What is p(r(b))? 32*b**2 Let t(d) = 7*d. Let l(y) = -2*y**2 + 6537*y. Determine l(t(p)). -98*p**2 + 45759*p Let k(u) = -3*u**2. Let c(i) be the third derivative of i**5 + 2*i**2 - 106*i. What is c(k(j))? 540*j**4 Let n(p) = 7*p - 2*p - 4*p. Let q(o) = -3*o + 7*o + 7*o - 20*o + 7*o. What is n(q(t))? -2*t Let g(y) = 6*y. Let k(t) be the second derivative of 0 + 2*t - 1/6*t**3 + 0*t**2. Determine k(g(s)). -6*s Let c(w) be the second derivative of -w**3 + w. Let k(a) = -a**2 - 2*a + 17. Let v be k(-5). Let g(u) = 319 - 634 - u**v + 315. Determine g(c(p)). -36*p**2 Let m(n) = -n**2. Let j(y) = y + 23. Let x be j(6). Let u(w) = -10*w + 3*w - x*w + 5*w. Give u(m(c)). 31*c**2 Let w(r) = -9845*r**2. Let x(a) = 44*a. Give w(x(u)). -19059920*u**2 Let o(p) be the second derivative of 7/2*p**3 - 9*p + 0*p**2 + 0. Let b(k) = -2*k. Give b(o(a)). -42*a Let q(y) = 5 - 5 - 15*y. Let t(u) = -18*u**2 + 8*u. Let a(v) = 7*v**2 - 3*v. Let k(f) = 8*a(f) + 3*t(f). Give k(q(m)). 450*m**2 Let l(a) = a**2. Let i(v) = v - 10827. Calculate l(i(s)). s**2 - 21654*s + 117223929 Let t(a) = a. Let n(s) = -12632912*s**2. Give n(t(f)). -12632912*f**2 Let l(o) = -o**2. Let q(x) = -7*x**2 + 22*x**2 - 20*x**2 + 98*x**2 - 18*x**2. Give q(l(v)). 75*v**4 Let s(b) be the third derivative of -4*b**4/3 + b**2 - 170*b. Let o(j) = -2*j**2. Determine o(s(g)). -2048*g**2 Let l(b) = -11*b. Let p(k) = 15*k - 131. Determine p(l(t)). -165*t - 131 Let p(r) = 26*r + 27*r + 18*r - 79*r. Let c(z) = -20*z**2. Determine p(c(d)). 160*d**2 Let x(h) = -4*h**2 - 3941*h. Let a(l) = -7*l. What is a(x(s))? 28*s**2 + 27587*s Let g(o) = o - 1. Let s(n) = -4*n + 7. Let c(w) = 5*g(w) + s(w). Let i(d) = -d**2. Determine i(c(h)). -h**2 - 4*h - 4 Let r(d) = d. Let w(t) = 6. Let m(c) = c - 33. Suppose -99 = -40*j + 43*j. Let h(a) = j*w(a) - 6*m(a). Give h(r(s)). -6*s Let v(k) = -7*k + 8. Let n(c) be the third derivative of c**5/60 + 346*c**2. Determine n(v(y)). 49*y**2 - 112*y + 64 Let m(l) = -2*l + 348. Let j(z) = -8*z. Determine m(j(c)). 16*c + 348 Let w(i) = 5*i**2 + 11. Let l(d) = -2*d**2 - 114 + 112 + d**2. Let y(j) = 11*l(j) + 2*w(j). Let z(b) = 9*b**2. Calculate z(y(s)). 9*s**4 Let s(f) be the third derivative of -80*f**2 + 0*f**3 - 1/12*f**4 + 0*f + 0. Let p(i) = 0*i - 5*i + i. Calculate s(p(v)). 8*v Let x(y) = 45749*y. Let z(h) = -2*h**2. Give x(z(c)). -91498*c**2 Let l(c) = -6*c. Let r(d) be the first derivative of -1/2*d**3 + 0*d**2 + 9*d - 7. Let y(p) be the first derivative of r(p). Determine y(l(f)). 18*f Let g(v) = v**2. Let i = 15 - 13. Let y(j) = 8*j**i - j + j - 15*j**2. What is y(g(t))? -7
{ "pile_set_name": "DM Mathematics" }
25601 What is fifteen quarters of a litre in millilitres? 3750 What is 1/5 of a century in years? 20 How many microseconds are there in 15/4 of a millisecond? 3750 What is fifteen quarters of a litre in millilitres? 3750 What is 45720.92 millennia in years? 45720920 How many months are there in 56806.16 years? 681673.92 How many millilitres are there in 0.0061719l? 6.1719 How many meters are there in 4.227658 millimeters? 0.004227658 What is 6.880719 months in millennia? 0.00057339325 Convert 530237.9us to seconds. 0.5302379 How many meters are there in 29/2 of a kilometer? 14500 How many milliseconds are there in three tenths of a minute? 18000 How many litres are there in 11263.51ml? 11.26351 What is 9.132728 centimeters in meters? 0.09132728 How many grams are there in 2.778952ng? 0.000000002778952 What is one quarter of a year in months? 3 Convert 9889.2 litres to millilitres. 9889200 Convert 23312.77ms to microseconds. 23312770 How many kilograms are there in 33/10 of a tonne? 3300 What is 46/5 of a gram in milligrams? 9200 How many milligrams are there in 0.1086689ng? 0.0000001086689 How many nanograms are there in 1/4 of a microgram? 250 What is 7/6 of a minute in seconds? 70 Convert 46073.76g to milligrams. 46073760 What is twenty-three thirds of a century in months? 9200 How many hours are there in 75/4 of a week? 3150 What is 1/4 of a litre in millilitres? 250 How many days are there in 26/7 of a week? 26 How many hours are there in 10/7 of a week? 240 What is seven quarters of a microsecond in nanoseconds? 1750 How many millilitres are there in eleven tenths of a litre? 1100 What is 13/4 of a second in milliseconds? 3250 What is twenty-one eighths of a litre in millilitres? 2625 What is 540.0287 minutes in nanoseconds? 32401722000000 How many micrograms are there in 13/5 of a milligram? 2600 How many millilitres are there in twenty-seven quarters of a litre? 6750 Convert 13365.6642 minutes to weeks. 1.32595875 What is 733865.67 minutes in days? 509.6289375 What is 931.808 years in decades? 93.1808 What is 4.540188 meters in millimeters? 4540.188 How many millimeters are there in 238.2891nm? 0.0002382891 Convert 3372.29t to milligrams. 3372290000000 What is eighteen fifths of a week in minutes? 36288 How many seconds are there in fifty-nine thirds of a minute? 1180 How many months are there in 328.35 decades? 39402 What is 3/50 of a meter in millimeters? 60 How many nanograms are there in 2/125 of a microgram? 16 What is 15/4 of a microgram in nanograms? 3750 How many millilitres are there in 48/5 of a litre? 9600 What is 59/5 of a decade in months? 1416 How many meters are there in 0.8261263mm? 0.0008261263 What is 6695.477ng in kilograms? 0.000000006695477 How many minutes are there in 25/7 of a week? 36000 What is one fifth of a litre in millilitres? 200 How many weeks are there in 211.4581 days? 30.2083 What is one tenth of a tonne in kilograms? 100 What is twenty-seven halves of a micrometer in nanometers? 13500 What is 21/8 of a litre in millilitres? 2625 How many nanograms are there in 90.36258ug? 90362.58 What is 3/40 of a day in minutes? 108 What is 13831.51 weeks in microseconds? 8365297248000000 How many grams are there in 536.2368kg? 536236.8 How many milligrams are there in 5/4 of a gram? 1250 How many hours are there in 1009.179 milliseconds? 0.0002803275 How many meters are there in 4529.123km? 4529123 Convert 2.570884l to millilitres. 2570.884 Convert 2.463974 millennia to centuries. 24.63974 What is 3/8 of a millennium in months? 4500 What is 1.821233nm in centimeters? 0.0000001821233 How many millilitres are there in 21/8 of a litre? 2625 How many minutes are there in twenty-five halves of a hour? 750 How many millimeters are there in 11/2 of a meter? 5500 What is eleven halves of a centimeter in micrometers? 55000 What is 11/10 of a litre in millilitres? 1100 What is fourty-nine fifths of a litre in millilitres? 9800 What is 3/40 of a micrometer in nanometers? 75 How many millilitres are there in 3/5 of a litre? 600 How many millimeters are there in 32/5 of a meter? 6400 How many millilitres are there in 11/2 of a litre? 5500 What is one tenth of a tonne in grams? 100000 How many decades are there in 41/2 of a century? 205 Convert 88802.83 litres to millilitres. 88802830 Convert 58.19432 nanometers to kilometers. 0.00000000005819432 What is 39277.7 microseconds in milliseconds? 39.2777 How many milligrams are there in 1/16 of a kilogram? 62500 What is 3.617739 millilitres in litres? 0.003617739 What is 14442.78 months in decades? 120.3565 What is 14.197644us in hours? 0.00000000394379 What is 0.9136296cm in millimeters? 9.136296 How many grams are there in 17/2 of a kilogram? 8500 Convert 0.5785529km to micrometers. 578552900 What is 93829.52l in millilitres? 93829520 How many micrograms are there in 5/8 of a milligram? 625 What is 627776.1 hours in minutes? 37666566 Convert 0.818436ml to litres. 0.000818436 What is 27.853119 months in decades? 0.232109325 How many milligrams are there in 17553.08 tonnes? 17553080000000 What is 44/5 of a meter in millimeters? 8800 What is fourty-five quarters of a litre in millilitres? 11250 How many micrometers are there in 65.90124 millimeters? 65901.24 What is 30104.32 days in microseconds? 2601013248000000 How many months are there in fifty-seven halves of a year? 342 How many millilitres are there in 7653.119l? 7653119 Convert 27.187689 months to decades. 0.226564075 What is seventy-nine halves of a litre in millilitres? 39500 What is 906460.6 centuries in millennia? 90646.06 How many months are there in five quarters of a year? 15 How many micrograms are there in 125164.2 nanograms? 125.1642 How many centuries are there in 41333.81 millennia? 413338.1 How many millimeters are there in 21/4 of a meter? 5250 Convert 12483.99 micrograms to milligrams. 12.48399 How many grams are there in 1/4 of a kilogram? 250 How many micrograms are there in 4.595257t? 4595257000000 How many millimeters are there in 6.42074 nanometers? 0.00000642074 What is thirteen quarters of a gram in milligrams? 3250 What is 1/4 of a litre in millilitres? 250 How many decades are there in 4.64066 millennia? 464.066 What is 17442.867 months in centuries? 14.5357225 What is fifteen quarters of a microgram in nanograms? 3750 What is six fifths of a millennium in decades? 120 Convert 7410.279 nanograms to tonnes. 0.000000000007410279 What is five eighths of a decade in months? 75 What is 6.769175 kilometers in meters? 6769.175 How many microseconds are there in 60.16697 days? 5198426208000 What is 22.23483 hours in milliseconds? 80045388 How many microseconds are there in 15695.43 weeks? 9492596064000000 How many minutes are there in twenty-five sevenths of a week? 36000 What is three tenths of a millennium in years? 300 Convert 5.186553ml to litres. 0.005186553 What is eighteen fifths of a centimeter in millimeters? 36 How many minutes are there in 3/5 of a day? 864 What is 686558.4m in centimeters? 68655840 What is 8616.282 days in nanoseconds? 744446764800000000 How many seconds are there in 1/10 of a hour? 360 Convert 3.194056 millimeters to micrometers. 3194.056 Convert 0.360148 years to centuries. 0.00360148 Convert 907.4205cm to meters. 9.074205 What is 8860.434ml in litres? 8.860434 How many grams are there in 7955.206 kilograms? 7955206 How many microseconds are there in 2166.476 weeks? 1310284684800000 What is 77/2 of a millisecond in microseconds? 38500 Convert 9.553713 litres to millilitres. 9553.713 What is 31/5 of a hour in minutes? 372 What is 645.876 litres in millilitres? 645876 What is one fifth of a kilogram in grams? 200 What is 6897.72 litres in millilitres? 6897720 How many seconds are there in eight thirds of a minute? 160 What is 0.36508 litres in millilitres? 365.08 How many decades are there in 682007.8 years? 68200.78 What is 854.883 centimeters in nanometers? 8548830000 How many years are there in 3/10 of a century? 30 How many millilitres are there in 944.5694 litres? 944569.4 How many hours are there in 8.229426 days? 197.506224 Convert 23491.14 months to centuries. 19.57595 What is 7382.881l in millilitres? 7382881 What is 3/10 of a microgram in nanograms? 300 Convert 6331.98
{ "pile_set_name": "DM Mathematics" }
e au? 2/15 Calculate prob of sequence ayb when three letters picked without replacement from {p: 7, b: 1, j: 1, a: 4, y: 3}. 1/280 Three letters picked without replacement from {q: 1, i: 1, m: 1, y: 1, r: 12, p: 4}. What is prob of sequence qpp? 1/570 What is prob of sequence rtl when three letters picked without replacement from {r: 1, c: 1, t: 1, l: 8, a: 1}? 1/165 What is prob of sequence ccob when four letters picked without replacement from bccbcbosccsbbcooc? 3/272 Calculate prob of sequence duxu when four letters picked without replacement from xuxuxxxxdxxuxxxdxuxu. 13/2907 Three letters picked without replacement from qqquqqqyyqqiyyyq. What is prob of sequence yui? 1/672 Calculate prob of sequence cwcc when four letters picked without replacement from ccwcwccwccw. 7/66 What is prob of sequence sd when two letters picked without replacement from {s: 2, t: 1, d: 4, n: 1, h: 1}? 1/9 Four letters picked without replacement from {i: 2, q: 1, s: 1, l: 2, d: 1, x: 1}. Give prob of sequence qids. 1/840 What is prob of sequence zqz when three letters picked without replacement from zzzzzqzzcczzzzqczzq? 26/323 Calculate prob of sequence uu when two letters picked without replacement from wmuwuquwwwquwuwkc. 5/68 What is prob of sequence kqi when three letters picked without replacement from iqkqq? 1/20 Two letters picked without replacement from {o: 1, t: 1, m: 3, a: 2}. Give prob of sequence ao. 1/21 Three letters picked without replacement from {t: 1, s: 1, k: 2, p: 1}. Give prob of sequence ksp. 1/30 Calculate prob of sequence ublu when four letters picked without replacement from bzubbulboo. 1/630 What is prob of sequence ll when two letters picked without replacement from ylllllylly? 7/15 Two letters picked without replacement from osbossssbb. Give prob of sequence os. 1/9 Two letters picked without replacement from {a: 1, c: 2, d: 1}. What is prob of sequence cd? 1/6 Calculate prob of sequence kkhh when four letters picked without replacement from {k: 4, h: 5, o: 6}. 2/273 What is prob of sequence dw when two letters picked without replacement from wvqpwvdvweve? 1/44 Three letters picked without replacement from kcdxack. Give prob of sequence dkc. 2/105 Four letters picked without replacement from {c: 2, u: 2, o: 11}. What is prob of sequence coco? 11/1638 Calculate prob of sequence een when three letters picked without replacement from {n: 7, e: 2}. 1/36 Two letters picked without replacement from rwuhuho. What is prob of sequence wo? 1/42 What is prob of sequence gjg when three letters picked without replacement from {d: 4, j: 1, b: 1, g: 5}? 2/99 What is prob of sequence tct when three letters picked without replacement from ccctccccctccc? 1/78 What is prob of sequence khh when three letters picked without replacement from {m: 10, d: 1, k: 1, h: 2}? 1/1092 Four letters picked without replacement from {k: 3, m: 1, n: 1, g: 7}. Give prob of sequence nggk. 7/660 Four letters picked without replacement from exxexx. Give prob of sequence xxxx. 1/15 What is prob of sequence oo when two letters picked without replacement from {y: 2, o: 4, c: 1, n: 3}? 2/15 Four letters picked without replacement from {g: 1, c: 2, z: 3, i: 1, u: 4}. What is prob of sequence uguz? 1/220 Two letters picked without replacement from {d: 2, b: 1, x: 2, c: 2, p: 3, j: 2}. Give prob of sequence pb. 1/44 Four letters picked without replacement from {j: 5, q: 14}. Give prob of sequence jqjq. 455/11628 Calculate prob of sequence bbjj when four letters picked without replacement from {j: 3, b: 9}. 2/55 Four letters picked without replacement from sjjjjjjjjjjjw. Give prob of sequence jjwj. 3/52 Calculate prob of sequence hkh when three letters picked without replacement from {k: 14, h: 2, v: 1}. 7/1020 What is prob of sequence zoem when four letters picked without replacement from {e: 1, c: 2, o: 1, z: 5, w: 4, m: 7}? 7/23256 Calculate prob of sequence qacq when four letters picked without replacement from caarcuqcaarcceqa. 5/4368 Calculate prob of sequence ynyn when four letters picked without replacement from {n: 1, y: 1, p: 3}. 0 Two letters picked without replacement from dudddduudddddddddd. What is prob of sequence dd? 35/51 Calculate prob of sequence ccj when three letters picked without replacement from jjwjcwcjjjjjcc. 4/91 Two letters picked without replacement from vsihhohsoovrshvoh. Give prob of sequence ho. 5/68 Two letters picked without replacement from {a: 2, o: 5, g: 9}. What is prob of sequence gg? 3/10 Three letters picked without replacement from {b: 3}. What is prob of sequence bbb? 1 Calculate prob of sequence yyi when three letters picked without replacement from {i: 1, r: 6, y: 4, v: 8, k: 1}. 1/570 Three letters picked without replacement from {l: 1, g: 1, x: 2}. Give prob of sequence xlx. 1/12 What is prob of sequence xa when two letters picked without replacement from aaaaaaaaaaaaaaawaaxa? 9/190 What is prob of sequence pr when two letters picked without replacement from nnlnrnlrnnpll? 1/78 Calculate prob of sequence nh when two letters picked without replacement from whnwwntnnhhhwwhhtht. 14/171 Two letters picked without replacement from kkwkkiww. What is prob of sequence ki? 1/14 Three letters picked without replacement from zzzmmzm. What is prob of sequence zzz? 4/35 What is prob of sequence gc when two letters picked without replacement from giccggkcgk? 2/15 Calculate prob of sequence zye when three letters picked without replacement from eyxxexxyiyzezexxy. 2/255 What is prob of sequence mmvv when four letters picked without replacement from {v: 2, m: 3}? 1/10 Three letters picked without replacement from {g: 2, w: 1, a: 1, c: 1, o: 1, l: 1}. What is prob of sequence gwg? 1/105 What is prob of sequence jjkj when four letters picked without replacement from fkfjbffbffjfjfkf? 1/3640 Calculate prob of sequence tthk when four letters picked without replacement from zzhztytktkk. 1/440 Two letters picked without replacement from {l: 9, k: 1, f: 1, z: 5}. Give prob of sequence lf. 3/80 Four letters picked without replacement from {z: 5, k: 2}. What is prob of sequence zkkz? 1/21 Calculate prob of sequence qhvv when four letters picked without replacement from wjvjqhhv. 1/420 What is prob of sequence me when two letters picked without replacement from {b: 1, j: 2, l: 1, e: 1, m: 1, p: 1}? 1/42 Three letters picked without replacement from {u: 5, w: 5, q: 1, i: 6}. What is prob of sequence uwi? 5/136 Calculate prob of sequence yxyz when four letters picked without replacement from {k: 1, a: 1, y: 2, j: 1, z: 1, x: 1}. 1/420 Four letters picked without replacement from ffifikffff. Give prob of sequence fiki. 1/360 Calculate prob of sequence vv when two letters picked without replacement from dvccccvcvvccccdcvccc. 1/19 Two letters picked without replacement from {y: 2, b: 1, m: 3, u: 1, d: 3}. What is prob of sequence bd? 1/30 Three letters picked without replacement from zhhhhhzhzhhhzhhhhhhz. Give prob of sequence zhh. 35/228 Four letters picked without replacement from {r: 7, h: 1, p: 3, k: 5}. What is prob of sequence khpr? 1/416 Four letters picked without replacement from sffsjffsfffjjjffffff. Give prob of sequence ssfj. 13/4845 Four letters picked without replacement from {c: 17, d: 3}. What is prob of sequence cdcc? 2/19 Two letters picked without replacement from {o: 5, i: 1, n: 4, h: 1}. Give prob of sequence oi. 1/22 Two letters picked without replacement from czczzcczzccczzczczzc. What is prob of sequence zc? 5/19 What is prob of sequence bmze when four letters picked without replacement from nnemnmzemennmmmzb? 3/4760 What is prob of sequence lll when three letters picked without replacement from lll? 1 Three letters picked without replacement from mkkmkkmmmmmk. What is prob of sequence mkm? 7/44 Two letters picked without replacement from oooooooozoooozooooo. What is prob of sequence oo? 136/171 Calculate prob of sequence eela when four letters picked without replacement from aleuulaaalueeuuue. 3/1190 Four letters picked without replacement from jgggjgggjjgj. What is prob of sequence ggjj? 7/99 Three letters picked without replacement from {m: 1, x: 10, o: 4, b: 3}. Give prob of sequence xxb. 15/272 Four letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
ng order. -4, -2, 0.4, 1, 1.2411 Sort -3486, -1/9, 1/226, -4. -3486, -4, -1/9, 1/226 Put 11, 2/5, 1030, 0.1, 4, 1.08 in descending order. 1030, 11, 4, 1.08, 2/5, 0.1 Put 1118, 9, 803 in decreasing order. 1118, 803, 9 Sort 3.5, -2, 48/35, -1/2, 11, 1 in descending order. 11, 3.5, 48/35, 1, -1/2, -2 Put -2/13, -504, 1/4, 49, -0.2 in decreasing order. 49, 1/4, -2/13, -0.2, -504 Put 1, 1.126, -0.2, -14.2, 0.4 in descending order. 1.126, 1, 0.4, -0.2, -14.2 Sort -2/15, 83, 227339, -0.3 in ascending order. -0.3, -2/15, 83, 227339 Put -2, -6933, -6520 in increasing order. -6933, -6520, -2 Put -1, 0, 7, -48, 179, 5, 2 in decreasing order. 179, 7, 5, 2, 0, -1, -48 Sort 2/11, 0.5, -0.2, -14854918 in descending order. 0.5, 2/11, -0.2, -14854918 Sort 5, 3083835, -0.5, 12, 0 in decreasing order. 3083835, 12, 5, 0, -0.5 Put 198, 3/2, 1/2, 13, 95 in descending order. 198, 95, 13, 3/2, 1/2 Sort -2, -1678, 62, 1/3, -5, 5/4 in increasing order. -1678, -5, -2, 1/3, 5/4, 62 Sort 127, -25.4, -310 in descending order. 127, -25.4, -310 Sort -6, -1/8, -882, -13. -882, -13, -6, -1/8 Sort 3, -4, -17942193 in increasing order. -17942193, -4, 3 Sort 39, -4, 1, 307 in ascending order. -4, 1, 39, 307 Sort 3, -188, -4, -2, -95 in descending order. 3, -2, -4, -95, -188 Sort 1/632, -23, -972. -972, -23, 1/632 Put 2, -5, 6091, -25, -4 in descending order. 6091, 2, -4, -5, -25 Put 512, -13, 38, -14 in ascending order. -14, -13, 38, 512 Sort 49383, 8/37, 5, -2/19 in descending order. 49383, 5, 8/37, -2/19 Put 46, -4103, 4, 6 in descending order. 46, 6, 4, -4103 Sort 13, -4, -2/3, -26/9. -4, -26/9, -2/3, 13 Sort 2, 27/7, 0, -0.8, 1/3, 91 in ascending order. -0.8, 0, 1/3, 2, 27/7, 91 Put 1, 0.3, 117.7034 in descending order. 117.7034, 1, 0.3 Put -1, -10, -20, 2, -127 in increasing order. -127, -20, -10, -1, 2 Put -3, -8, -17554, 5 in increasing order. -17554, -8, -3, 5 Put -516, -629, -4, -5 in decreasing order. -4, -5, -516, -629 Put -35, 201, -97, 0 in decreasing order. 201, 0, -35, -97 Put 1, 4, -1, -67852, -4 in decreasing order. 4, 1, -1, -4, -67852 Put 2, 1, 10, -532, -27, -1, 31 in descending order. 31, 10, 2, 1, -1, -27, -532 Sort 3, 4, 90278 in descending order. 90278, 4, 3 Sort 3, -1765145, 12. -1765145, 3, 12 Put 10, -1717, -8, -1, 0, -26 in ascending order. -1717, -26, -8, -1, 0, 10 Sort 150, 55, -45. -45, 55, 150 Put -25, 2, -4, 4485, 4, -5 in decreasing order. 4485, 4, 2, -4, -5, -25 Sort 4, -5, 0, 152, 68, -3 in ascending order. -5, -3, 0, 4, 68, 152 Sort -0.55, -2/17, 4/61, 16. -0.55, -2/17, 4/61, 16 Put 8385, 2, 37, 3 in decreasing order. 8385, 37, 3, 2 Put 12, 4, 8, -5, -11, -1, -4 in descending order. 12, 8, 4, -1, -4, -5, -11 Put -57, 6, -14589 in descending order. 6, -57, -14589 Sort -21, 1, 3, -201, -5, -3 in decreasing order. 3, 1, -3, -5, -21, -201 Sort 1557, 18, -7, -1 in ascending order. -7, -1, 18, 1557 Put -0.04077, 176, 41 in descending order. 176, 41, -0.04077 Sort -97, 128643, 5 in ascending order. -97, 5, 128643 Sort 0.15, 0.39071, 0.6 in ascending order. 0.15, 0.39071, 0.6 Put -0.4, -590, 5, 6, 2, 248 in ascending order. -590, -0.4, 2, 5, 6, 248 Put -716, 24, 1, -4, 7, -21, -5 in increasing order. -716, -21, -5, -4, 1, 7, 24 Put -13, 0, -4, -51657, -10, -3, 4 in descending order. 4, 0, -3, -4, -10, -13, -51657 Put 2/7, -1.09, 0.1, 4, 2/873 in descending order. 4, 2/7, 0.1, 2/873, -1.09 Sort -5, -2, 1844, 3, -4, 1, 0 in increasing order. -5, -4, -2, 0, 1, 3, 1844 Sort 19, -101, 45, -2, -3, 1 in ascending order. -101, -3, -2, 1, 19, 45 Sort 3/4, -1/3, -4, 1, 4/3, -1800 in descending order. 4/3, 1, 3/4, -1/3, -4, -1800 Sort -2, 37, -5/8, 54, 2/7, -2/5 in ascending order. -2, -5/8, -2/5, 2/7, 37, 54 Put 499, 21, -13/5 in descending order. 499, 21, -13/5 Put 2454, -3, -4, 2, -127, 5, 4 in ascending order. -127, -4, -3, 2, 4, 5, 2454 Sort -73, 321, -5, -2886, 3 in decreasing order. 321, 3, -5, -73, -2886 Sort 0.3, -64.2, 17/7, -3, 4, -4/9 in ascending order. -64.2, -3, -4/9, 0.3, 17/7, 4 Sort 316, 0, 5, 45, -20 in descending order. 316, 45, 5, 0, -20 Put -2, -5, 22, -625 in ascending order. -625, -5, -2, 22 Put 19235, 5, -2, 20 in increasing order. -2, 5, 20, 19235 Put -3, 10952, -7527 in increasing order. -7527, -3, 10952 Put 0, -4, -2, 21, 1, -20216 in ascending order. -20216, -4, -2, 0, 1, 21 Sort 0.1, -1125, 0.3, 2, -0.9, 1/69 in increasing order. -1125, -0.9, 1/69, 0.1, 0.3, 2 Sort 1, 20, 3, -11, 19, 2, 4 in descending order. 20, 19, 4, 3, 2, 1, -11 Sort -9037, 5, 2519. -9037, 5, 2519 Sort -3, 18/3817, 0.1, -0.587, -0.4. -3, -0.587, -0.4, 18/3817, 0.1 Sort -489, 0, 2, 1, -0.3, 20/7. -489, -0.3, 0, 1, 2, 20/7 Sort -3, -177, -2, 5, 28, 3, -30 in descending order. 28, 5, 3, -2, -3, -30, -177 Sort -5, 1913, 0, 1, 5 in increasing order. -5, 0, 1, 5, 1913 Put 1679, 4, 5, 3, -318 in ascending order. -318, 3, 4, 5, 1679 Sort 1, -1, 38789 in decreasing order. 38789, 1, -1 Put 887, 10, 3.14, -5 in increasing order. -5, 3.14, 10, 887 Put -116, 14500, 3, -3, 0 in ascending order. -116, -3, 0, 3, 14500 Sort -5, -4, -172, -112, 1 in increasing order. -172, -112, -5, -4, 1 Sort -0.2, 5, -5, 84, 818, 0.2, 3 in descending order. 818, 84, 5, 3, 0.2, -0.2, -5 Sort 0, 0.1, 0.05, 27, 159, 1.7 in decreasing order. 159, 27, 1.7, 0.1, 0.05, 0 Put -4, 1379, -1, -3, -190, -2 in descending order. 1379, -1, -2, -3, -4, -190 Sort -5, 123, -1100 in increasing order. -1100, -5, 123 Sort -1.1, -2/11, -1, 232, -8, -90 in decreasing order. 232, -2/11, -1, -1.1, -8, -90 Sort -3.08, 84, 0.9, 0, 0.5 in increasing order. -3.08, 0, 0.5, 0.9, 84 Sort -1, -2, -5, -19 in increasing order. -19, -5, -2, -1 Put -109, 3/8, 451.4, -15 in descending order. 451.4, 3/8, -15, -109 Sort 5, -719, -4, 8, -82, 2. -719, -82, -4, 2, 5, 8 Put 5, 2.2, 0.4, 35, -1, 2/7, -5 in ascending order. -5, -1, 2/7, 0.4, 2.2, 5, 35 Sort -4, 0, 1136, 5, -2/3, 3, -0.3. -4, -2/3, -0.3, 0, 3, 5, 1136 Sort -2256, -6, 1, -1, -8 in increasing order. -2256, -8, -6, -1, 1 Sort -32045, 2, -12, 9. -32045, -12, 2, 9 Put 3/17, 50, 1831 in increasing order. 3/17, 50, 1831 Sort -473, 0.2684, -2/3, 0.3, 0, -5 in decreasing order. 0.3, 0.2684, 0, -2/3, -5, -473 Put -65632, -8, 5, 35, 5/6 in decreasing order. 35, 5, 5/6, -8, -65632 Sort -4, -10260, 8, 16 in decreasing order. 16, 8, -4, -10260 Sort 3, -6440, -2, 11, 2 in decreasing order. 11, 3, 2, -2, -6440 Sort 5, 13, -332, -482, 1 in ascending order. -482, -332, 1, 5, 13 Put 72, 3, -79985, -9, -5 in ascending order. -79985, -9, -5, 3, 72 Put -261, 3, 4, 4638 in decreasing order. 4638, 4, 3, -261 Sort 84, -3/7, -2/17, -371, 2, 4 in ascending order. -371, -3/7, -2/17, 2, 4, 84 Put -8, 2, -16, -4, 103, 5 in descending order. 103, 5, 2, -4, -8, -16 Sort -8, -22, -4, 15369 in decreasing order. 15369, -4, -8, -22 Sort -1779, -1, 8079 in decreasing order. 8079, -1, -1779 Put 4/3, 5, -758/52183 in descending order. 5, 4/3, -758/52183 Sort 62, 31, -0.5, -11, -0.4. -11, -0.5, -0.4, 31, 62 Sort -8454, 23, -7/10, 3 in descending order. 23, 3, -7/10, -8454 Put 1702, -12, 32, 5 in descending order. 1702, 32, 5, -12 Sort -2, 1, 12, -2075, 6 in decreasing order. 12, 6, 1, -2, -2075 Put -0.85, -1/191, -65 in decreasing order. -1/191, -0.85, -65 Put 230, 350604, -1 in decreasing order. 350604, 230, -1 Put 134, -1559, -2/3, 0.5, 1 in decreasing order. 134, 1, 0.5, -2/3, -1559 Put 452, 10, 6, -5, -7, 3, 5 in descending order. 452, 10, 6, 5, 3, -5, -7 Sort 5, -20, -64, -95297 in ascending order. -95297, -64, -20, 5 Put -9370, 5, 34 in increasing order. -9370, 5, 34 Sort 5, -3309, -3, -1, -2, 40 in decreasing order. 40, 5, -1, -2, -3, -3309 Sort -835, 1518, 7 in descending order. 1518, 7, -835 Put 2/27, -37971, -88 in descending order. 2/27, -88, -37971 Sort 4, -29208, 875 in descending order. 875, 4, -29208 Sort -0.16, 1, 17255, -3, -4/11. -3, -4/11, -0.16, 1, 17255 Sort 38, -5, 5, -2, 3, 2253 in ascending order. -5, -2, 3, 5, 38, 2253 Put 9, -1143, -2 in descending order. 9, -2, -1143 Sort 44, 35077, -4 in decreasing order. 35077, 44, -4 Put -50, 1/12, 3/2, -52, 0.058 in increasing order. -52, -50, 0.058, 1/12, 3/2 Sort 3/2, 5, -3/7, 2125, 1, -1, 3. -1, -3/7, 1, 3/2, 3, 5, 2125 Sort 1892, 633, -26 in ascending order. -26, 633, 1892 Sort 22, 1891, -2, 4, 0. -2, 0, 4, 22, 1891 Put -106, -48, -5, 4 in
{ "pile_set_name": "DM Mathematics" }
48, 85205, 133098? 5318*j**2 + 31*j - 7 What is the i'th term of -840, -1765, -2690? -925*i + 85 What is the q'th term of -69492, -138981, -208470, -277959, -347448, -416937? -69489*q - 3 What is the f'th term of -50278, -50275, -50262, -50233, -50182? f**3 - f**2 - f - 50277 What is the u'th term of -42, 78, 198? 120*u - 162 What is the m'th term of 1346, 2483, 3620? 1137*m + 209 What is the g'th term of 244, 188, 98, -26, -184? -17*g**2 - 5*g + 266 What is the d'th term of -30815, -30818, -30821? -3*d - 30812 What is the g'th term of 8083, 16166, 24249? 8083*g What is the y'th term of 161513, 323032, 484549, 646064, 807577, 969088? -y**2 + 161522*y - 8 What is the x'th term of -141, -532, -1169, -2046, -3157, -4496, -6057, -7834? x**3 - 129*x**2 - 11*x - 2 What is the y'th term of -499, -409, -309, -193, -55, 111? y**3 - y**2 + 86*y - 585 What is the y'th term of 87, 454, 1081, 1980, 3163? 2*y**3 + 118*y**2 - y - 32 What is the f'th term of 12187, 12143, 12095, 12043? -2*f**2 - 38*f + 12227 What is the k'th term of 587, 733, 973, 1307, 1735, 2257, 2873? 47*k**2 + 5*k + 535 What is the v'th term of -94, -423, -974, -1747? -111*v**2 + 4*v + 13 What is the l'th term of 3496, 3576, 3656? 80*l + 3416 What is the c'th term of 193, 381, 559, 727, 885? -5*c**2 + 203*c - 5 What is the n'th term of -65, -156, -245, -332, -417, -500? n**2 - 94*n + 28 What is the m'th term of -52, -187, -394, -667, -1000, -1387? m**3 - 42*m**2 - 16*m + 5 What is the m'th term of 5060, 5043, 5024, 5003, 4980, 4955? -m**2 - 14*m + 5075 What is the y'th term of 1368320, 1368330, 1368352, 1368392, 1368456? y**3 + 3*y + 1368316 What is the k'th term of -8950, -17902, -26854, -35806, -44758, -53710? -8952*k + 2 What is the k'th term of 36841, 36845, 36849? 4*k + 36837 What is the n'th term of 5083, 5114, 5167, 5242? 11*n**2 - 2*n + 5074 What is the v'th term of -722, -1218, -1702, -2168, -2610, -3022, -3398? v**3 - 503*v - 220 What is the h'th term of -18553, -18529, -18467, -18349, -18157? 3*h**3 + h**2 - 18557 What is the n'th term of -1604, -1802, -2130, -2582, -3152? n**3 - 71*n**2 + 8*n - 1542 What is the f'th term of 1785, 2171, 2557, 2943, 3329? 386*f + 1399 What is the o'th term of -931, -870, -775, -652, -507, -346? -o**3 + 23*o**2 - o - 952 What is the p'th term of 8783, 17610, 26453, 35318, 44211, 53138? p**3 + 2*p**2 + 8814*p - 34 What is the l'th term of -5861, -6435, -7391, -8729, -10449, -12551, -15035? -191*l**2 - l - 5669 What is the z'th term of -32, -8, 32, 88, 160, 248? 8*z**2 - 40 What is the t'th term of -14, -33, -94, -197, -342, -529, -758? -21*t**2 + 44*t - 37 What is the c'th term of -313, -790, -1297, -1834, -2401, -2998? -15*c**2 - 432*c + 134 What is the q'th term of 213420, 426836, 640246, 853644, 1067024, 1280380, 1493706? -q**3 + 3*q**2 + 213414*q + 4 What is the l'th term of 332318, 332320, 332322, 332324, 332326? 2*l + 332316 What is the y'th term of 164, 384, 750, 1262, 1920, 2724, 3674? 73*y**2 + y + 90 What is the d'th term of -10232, -40851, -91882, -163325, -255180? -10206*d**2 - d - 25 What is the w'th term of 4321, 4289, 4243, 4177, 4085, 3961, 3799? -w**3 - w**2 - 22*w + 4345 What is the w'th term of -426, -305, 22, 657, 1702? 17*w**3 + w**2 - w - 443 What is the t'th term of 1561, 3012, 4463, 5914? 1451*t + 110 What is the z'th term of 2371642, 2371647, 2371654, 2371663, 2371674, 2371687? z**2 + 2*z + 2371639 What is the m'th term of 945, 1756, 2567, 3378, 4189? 811*m + 134 What is the h'th term of -7212, -14346, -21466, -28566, -35640? h**3 + h**2 - 7144*h - 70 What is the h'th term of -1447, -1164, -685, -4, 885, 1988, 3311? h**3 + 92*h**2 - 1540 What is the g'th term of -239, -860, -1897, -3350, -5219? -208*g**2 + 3*g - 34 What is the h'th term of 6665, 13323, 19975, 26621, 33261, 39895? -3*h**2 + 6667*h + 1 What is the d'th term of 101, 370, 965, 2048, 3781, 6326, 9845, 14500? 27*d**3 + d**2 + 77*d - 4 What is the z'th term of -128, -332, -628, -980, -1352, -1708, -2012? 6*z**3 - 82*z**2 - 52 What is the i'th term of -5296740, -5296739, -5296738, -5296737? i - 5296741 What is the w'th term of -785120, -3140481, -7066082, -12561923, -19628004? -785120*w**2 - w + 1 What is the b'th term of 101378, 202757, 304136, 405515, 506894, 608273? 101379*b - 1 What is the w'th term of 76, 158, 248, 352, 476, 626, 808? w**3 - 2*w**2 + 81*w - 4 What is the b'th term of -2753, -5577, -8401, -11225, -14049? -2824*b + 71 What is the j'th term of 377, 361, 303, 179, -35, -363, -829? -4*j**3 + 3*j**2 + 3*j + 375 What is the a'th term of -1564462, -1564463, -1564464, -1564465, -1564466, -1564467? -a - 1564461 What is the d'th term of 102973, 205954, 308937, 411922, 514909? d**2 + 102978*d - 6 What is the w'th term of 10433, 10393, 10353, 10313? -40*w + 10473 What is the t'th term of -166, -178, -192, -208, -226, -246, -268? -t**2 - 9*t - 156 What is the l'th term of 28, 148, 250, 328, 376, 388? -l**3 - 3*l**2 + 136*l - 104 What is the b'th term of 14109, 28272, 42435? 14163*b - 54 What is the v'th term of -1319, -1473, -1729, -2087? -51*v**2 - v - 1267 What is the l'th term of -5327, -10620, -15885, -21116, -26307, -31452? l**3 + 8*l**2 - 5324*l - 12 What is the j'th term of 1978, 7961, 17932, 31891, 49838, 71773? 1994*j**2 + j - 17 What is the f'th term of -10026, -40021, -90010, -159993, -249970, -359941, -489906? -9997*f**2 - 4*f - 25 What is the f'th term of 2309, 9410, 21335, 38078, 59633, 85994, 117155? -f**3 + 2418*f**2 - 146*f + 38 What is the i'th term of -7493, -29952, -67383, -119786, -187161, -269508, -366827? -7486*i**2 - i - 6 What is the o'th term of -222, -260, -250, -198, -110, 8, 150, 310? -o**3 + 30*o**2 - 121*o - 130 What is the l'th term of 27, -25, -163, -393, -721? -l**3 - 37*l**2 + 66*l - 1 What is the s'th term of -10871, -21720, -32571, -43424? -s**2 - 10846*s - 24 What is the z'th term of -846122, -846126, -846132, -846140? -z**2 - z - 846120 What is the f'th term of 88898, 88910, 88920, 88922, 88910, 88878, 88820? -f**3 + 5*f**2 + 4*f + 88890 What is the c'th term of -109528, -109532, -109536, -109540? -4*c - 109524 What is the g'th term of 160, 1316, 4512, 10768, 21104, 36540, 58096, 86792? 170*g**3 - 34*g + 24 What is the l'th term of -247, -376, -507, -640, -775? -l**2 - 126*l - 120 What is the w'th term of 410255, 820508, 1230761, 1641014, 2051267, 2461520? 410253*w + 2 What is the i'th term of -399869, -399844, -399829, -399830, -399853, -399904, -399989, -400114? -i**3 + i**2 + 29*i - 399898 What is the q'th term of 3585, 7164, 10719, 14244, 17733? -q**3 - 6*q**2 + 3604*q - 12 What is the h'th term of 764, 1521, 2280, 3041? h**2 + 754*h + 9 What is the q'th term of 40, 47, 56, 67, 80? q**2 + 4*q + 35 What is the f'th term of -5203, -10411, -15619, -20827, -26035, -31243? -5208*f + 5 What is the s'th term of 5606, 11123, 16448, 21485, 26138, 30311, 33908? -16*s**3 + 5629*s - 7 What is the s'th term of -694742, -694744, -694746, -694748? -2*s - 694740 What is the j'th term of -208865, -208864, -208863? j - 208866 What is the q'th term of -8455, -16879, -25303, -33727, -42151, -50575? -8424*q - 31 What is the w'th term of 299016, 299017, 299018, 299019? w + 299015 What is the o'th term of -34902, -34897, -34888, -34875, -34858? 2*o**2 - o - 34903 What is the c'th term of -2353, -4764, -7175? -2411*c + 58 What is the f'th term of -148048, -148051, -148068, -148105, -148168, -148263, -148396, -148573? -f**3 - f**2 + 7*f - 148053 What is the f'th term of 125356, 250712, 376068, 501424, 626780? 125356*f What is the r'th term of -2360233, -2360229, -2360213, -2360179, -2360121, -2360033, -2359909, -2359743? r**3 - 3*r - 2360231 What is the w'th term of 316, 703, 1164, 1699, 2308? 37*w**2 + 276*w + 3 What is the n'th term of -540, -559, -604, -687, -820, -1015, -1284, -1639? -2*n**3 - n**2 - 2*n - 535 What is the i'th term of -133, -277, -443, -631? -11*i**2 - 111*i - 11 What is the l'th term of -401639, -401635, -401631, -401627? 4*l - 401643 What is the x'th term of 476, 872, 1950, 4052, 7520, 12696? 57*x**3 - x**2 + 420 What is the h'th term of 5288, 5385, 5538, 5741, 5988, 6273, 6590, 6933? -h**3 + 34*h**2 + 2*h + 5253 What is the z'th term of -40686, -40685, -40684, -40683, -40682, -40681? z - 40687 What is the w'th
{ "pile_set_name": "DM Mathematics" }
xpand (-6*o**2 + 9 - 9)*(2*o**3 + 2*o**3 - 2*o**3). -12*o**5 Expand (2*b**3 + 5*b - 5*b)*(0 + 0 + 2*b) + 6*b**4 - 2*b**4 - 2*b**4 - 5*b**4 + 0*b**4 + 2*b**4. 3*b**4 Expand (0*s**2 - 4*s**2 + 6*s**2)*(-8*s**2 + 204 - 204). -16*s**4 Expand -7*b**4 + b**4 + 4*b**4 + (5*b**3 - 3*b**3 - 4*b**3)*(0*b + 2*b + 0*b) - b**4 + 2*b**4 + 0*b**4 + 0*b**4 + 4*b**4 - 6*b**4 - 5*b**4 + 3*b**4 + 3 - 1. -9*b**4 + 2 Expand 0*g**5 + 3*g**5 - 2*g**5 - 2*g**5 + 6*g**5 - 2*g**5 + (-g + g - 2*g**4)*(0*g + 0*g + 2*g). -g**5 Expand -1 - p**5 + 1 + 4*p**5 - 2*p**5 + 3*p**5 + (p**2 - 2*p**3 - p**2)*(3*p**2 - p**2 - 3*p**2). 6*p**5 Expand m + m - 3*m + (-2 + 2 - m)*(4 + 3 - 1) + (-2*m - 3*m + 6*m)*(1 - 3 + 0) + 3 - m - 3. -10*m Expand (37*n**2 - 1 - 25*n**2 + 3)*(n - n - 14*n**2). -168*n**4 - 28*n**2 Expand 7*f**3 - 8*f**4 - 7*f**3 + (2*f**3 + f**3 - 5*f**3)*(f - 2 + 2) - f**3 - f**4 + f**3. -11*f**4 Expand (z**2 + z - z)*(3*z**2 + z**2 - 3*z**2) + (3 + 0 - 5)*(-25*z + 25*z + 9*z**4) + 3*z**4 + 0*z**4 - 2*z**4. -16*z**4 Expand (-i + 2*i + 2*i)*(-2*i + 0*i + 4*i)*(4 - 5 - 1) - i**2 + 1 - 1. -13*i**2 Expand (3*u - 4*u + 16 + 3*u)*(-2*u**3 + 0*u + 0*u). -4*u**4 - 32*u**3 Expand (0*c**2 + 0*c**2 - c**2)*(-c**3 - c**3 - 151 + 144). 2*c**5 + 7*c**2 Expand (19 - 19 + 6*v**4)*(-v + 2 + 0*v - v). -12*v**5 + 12*v**4 Expand (-2*n**2 + n**2 - n**2)*(-n - 3*n + 0*n)*(n + 0*n + 3*n). 32*n**4 Expand (6 + 8 - 4)*(-g**2 + 4*g**2 - 4*g**2) - g**2 + 4*g - 4*g. -11*g**2 Expand -5*t + t + 3*t - t**2 + t**2 + 2*t**2 - t**2 + (1 - 1 + 2*t)*(t + 0*t - 2*t) + 2 - 2*t**2 - 2. -3*t**2 - t Expand 0*m + 2*m**2 + 0*m + (4 - 2 - 4)*(-3*m + 4*m - 3*m)*(-535*m + 538*m + 11 - 3). 14*m**2 + 32*m Expand -2*z**2 + z**2 + 0*z**2 + (-3*z + z + 3*z)*(-30*z + 9*z + z). -21*z**2 Expand (3*p - 2*p + 2*p)*(0 - 3 + 7)*(5 - 4 - 2). -12*p Expand (2*w - 3 + 3)*(-6 + 4 + 3) - 5*w - 30 + 30. -3*w Expand ((0 + 0 + c)*(0*c + 0*c + 2*c**2) - 2*c**3 - 2*c**3 + 3*c**3 + 4*c**3 - 5*c**3 + 2*c**3)*(4*c + 1 - 1). 8*c**4 Expand (0 - 6 - 5)*(3 + 3 - 4)*(2*g**2 - 3*g + 3*g). -44*g**2 Expand (-7 - 4*t + 7)*(-t**2 + 2*t**2 - 3*t**2) - 4*t**3 + 3*t**3 - t**3 + 2*t**3 - t**3 - 2*t**3 - t**3 + 2*t**2 - 2*t**2. 4*t**3 Expand (-5*a**3 + 13*a - 13*a)*(11*a - 5*a - 8*a). 10*a**4 Expand (4 - 4 + r)*(-4*r**2 - 4*r**2 + r**2). -7*r**3 Expand k**3 - k**3 + 2*k**4 + (9*k - 12*k - 12*k)*(-2*k**2 + 2*k**2 - 3*k**3). 47*k**4 Expand (616 + 2*w - 624 - 3*w)*(w**3 + 3 - 3). -w**4 - 8*w**3 Expand (2*a**2 + a - a)*(-13 - 24 + 11). -52*a**2 Expand (-2 + 2 + 1)*(-1 + 1 - c)*((-c - c + c)*(2 + 1 - 4) + 0*c + 0*c + c - 1 - c + 1 + 15*c - 7*c - 7*c + c - 4*c + 4*c + (-3 + 1 + 0)*(0*c + 0*c - 2*c)). -7*c**2 Expand -5*k + 5*k + k + (1 - 4 + 2)*(2 - k - 2) + (5*k - 2*k - k)*(-1 + 5 + 0). 10*k Expand -6*u**4 + 4*u**3 - 4*u**3 + 4*u**4 - 2*u**4 - 4*u**4 + (-2*u**2 - 3 + 3)*(3*u - 2*u**2 - 3*u) - 5 + 5 - 3*u**4. -7*u**4 Expand (2*v + v - 4*v)*(-v + v - 2*v**3) - 3*v**4 + 0*v**4 + 4*v**4 - 9*v + 4*v**4 + 9*v + (0 + 0 - 3*v**2)*(2*v**2 - 2*v**2 - 2*v**2). 13*v**4 Expand (-4*o**3 + o**3 + o**2 + o**3)*(3*o**2 + 0 + 0 - 2*o**2 - 2*o + 2*o + (-4*o - o + 4*o)*(-4*o + 0*o + 6*o) + 5 - 2*o**2 - 5 + o**2 + 0*o**2 + 0*o**2). 4*o**5 - 2*o**4 Expand (7*c**2 - 3*c**2 + 9*c**2)*(c + 0*c + 0*c). 13*c**3 Expand (-1 - 1 - 1)*(-2 + x + 2)*(10 - 10 + 2*x). -6*x**2 Expand (9*v - 38*v - 4*v)*(-v + v - 2*v**3)*(2*v - 2*v + v). 66*v**5 Expand 0 + 0 - a + a - a - 2*a + a + 0 + 0 + (0 - 1 + 0)*(3*a + 0*a - 5*a) + 6*a - 7*a - 3*a. -4*a Expand (-52*q + 52*q - 9*q**2)*(q + 5*q - 3*q). -27*q**3 Expand (5 - 6*d - 5)*(2 - 2 + d**3)*(3 + 2 - 4). -6*d**4 Expand (v + 3*v - 5*v)*(2 - 2 - 4)*((-3 - 2 + 3)*(-4 + 4 - 1) - 2 - 6 + 3). -12*v Expand (18 + 9 + 14)*(m + 2*m - m). 82*m Expand (127*x**2 - 85*x**2 - 71*x**2)*(-3*x - 2 + 2). 87*x**3 Expand (-4*t + 5*t + 2*t)*(0 + t**2 + 0) + 8*t**3 - 4*t**3 - 2*t - 3*t**3. 4*t**3 - 2*t Expand (-4*n**3 + 2*n**3 - n**3)*(0*n - n - n + (0 + 1 - 2)*(-6*n + 2*n + 3*n)). 3*n**4 Expand 3*r + r - 2*r + (-4*r + 5*r - 3*r)*(3 - 2 - 3) + 1 + 10*r - 7*r + 0. 9*r + 1 Expand (-2*w - 2*w + w)*(-2 - 2 + 6)*(-18 - 4 + 1). 126*w Expand (-4*g + 4*g + 5*g**2)*(-5*g - 6 + 6). -25*g**3 Expand (0 - 4 + 6)*(0*c**5 + 0*c**5 + 2*c**5). 4*c**5 Expand (3*z - 1 - 3*z - z**2)*(-352*z**2 - 29*z**3 + 352*z**2). 29*z**5 + 29*z**3 Expand (1 - 1 - 3*t + (3 + 0 - 2)*(0*t + 0*t + t))*(-t - 2*t - t)*(-2 + 6 - 2). 16*t**2 Expand (-7*c**4 + 7*c**4 + 5*c**5)*(-3 - 5 + 4). -20*c**5 Expand (-3*c**3 - c + c)*(-6 - 3*c + 6) + (-2*c**3 - c**3 + 2*c**3)*(2*c - 3*c + 0*c). 10*c**4 Expand (-t - 2*t + 4*t)*(2 - 2 - 1) - 3 + 3 - 2*t. -3*t Expand (1 + 3*b - 1)*(1 - 2 - 1) - 5*b + 2*b + 4*b. -5*b Expand (0*a**2 + 0*a**2 + 3*a**2 + (0 + a + 0)*(-3*a + 2*a + 3*a) + 3 - 3 - 3*a**2)*(-5*a - a + 5*a). -2*a**3 Expand (-2 + 1 - 1)*(-o - o + 0*o)*(-o**4 + 0*o**4 + 4 + 0*o**4). -4*o**5 + 16*o Expand -q + 3 - 3 + (-5 + 1 - 14)*(3 + 2*q - 3). -37*q Expand (2*z - 3*z + 4*z)*(10*z - 4*z + 0*z). 18*z**2 Expand (2*y**3 + 2*y**4 - 2*y**3)*(3 + 2 - 3) - 2*y - 40*y**4 + 2*y. -36*y**4 Expand (-3*g - 4 + 4)*(-g - 4*g + 3*g) + 4*g**2 - 4*g**2 + 3*g**2. 9*g**2 Expand -3*b + 7*b - 3*b - 2*b + 4*b - 3*b + (0 + 0 + b)*(-1 + 2 - 2) + 21*b + 18*b - 30*b. 8*b Expand (9*t - 13 + 2 - 8*t)*(-3*t**2 + 0*t**2 + t**2). -2*t**3 + 22*t**2 Expand (-1 + 2 + 0)*(-w + 0*w - w)*(2*w - 3*w + 3 - 4). 2*w**2 + 2*w Expand (2*o**2 - o**2 - 4*o**2)*(3*o**2 + 5*o**2 - 27*o**3 - 8*o**2). 81*o**5 Expand (y + 2 - 2)*(3 + 18 + 34 - 3*y)*(0*y**2 - 2*y**2 + y**2 - 2*y). 3*y**4 - 49*y**3 - 110*y**2 Expand (-24 + 7 - 13)*(6*x**2 + 4*x**3 - 6*x**2). -120*x**3 Expand (23 + 10 + 105)*(3*i - 2*i + 0*i). 138*i Expand 45*h**5 - 22*h**5 + 51*h**5 + (3*h**3 - 4*h**3 - h**3)*(-3*h**2 - 2*h**2 + 3*h**2). 78*h**5 Expand (v + 4*v + 0*v)*(-v**2 - v**2 + 0*v**2)*(-v**2 + 3*v - 3*v). 10*v**5 Expand -3*c**4 + 2*c**4 - c**4 + (-3*c**3 - c**3 + 3*c**3 + (-4*c - 3*c + 5*c)*(-3*c**2 + 0*c**2 + 2*c**2))*(1 - c - 1). -3*c**4 Expand -4*h**4 - 2*h**4 + 4*h**4 + (9*h**2 + 10*h**2 - 4*h - 21*h**2)*(-h**2 + 0*h**2 + 2*h**2). -4*h**4 - 4*h**3 Expand (j**2 - 3*j + 3*j)*(10*j**2 + j**2 - 6*j**2). 5*j**4 Expand (-2*s**2 - 4*s**2 + 5*s**2)*(0*s + s + 0*s + (4*s + s - 7*s)*(2 + 0 - 4) + 3*s - s + 0*s). -7*s**3 Expand (-c**3 + c**3 + 2*c**3)*(1 + 1 - 1) - 12 + 12 - 8*c**3. -6*c**3 Expand (-3*l + 0*l + 2*l)*(-3*l**2 + 5*l**2 + 0*l**2) + 3*l**3 + 0*l**3 - 2*l**3 + 4*l**3 - 2*l**3 - 6*l**3 - 3*l**3 + 3*l - 3*l - l**2. -8*l**3 - l**2 Expand 2*o**2 + o**2 - o**2 - o + o + 3*o**2 - 4*o**2 + 0*o**2 + 3*o**2 + (2*o + 1 - 1)*(-3 + 3 - 2*o) - o**2 + 1 - 1 - o**2 + o**2 + 2*o**2. o**2 Expand (-3*t - 3*t + 5*t)*(-t**3 + 4*t - 4*t) - 16*t**4 - 23*t**4 - 17*t**4. -55*t**4 Expand (1 - 5 + 3)*(8*j**2 - 4*j**2 - 3*j**2) + (-2 + 2 + 1)*(j**2 + 3 - 3) - 4*j + 5*j**2 + 4*j. 5*j**2 Expand (2*x**2 - x**2 - 3*x**2)*(-5 + 2 + 1 + (5 - 3 - 3)*(-2 + 3 + 0) + 1 + 4 - 3)*(28*x + x**2 - 28*x). 2*x**4 Expand (0*u**2 - u**2 - u**2)*(0*u**2 - 2*u**2 + u**2) + (u**3 - 5*u**3 + 3*u**3)*(2*u - u - 2*u) + u**4 + u**4 + 0*u**4. 5*u**4 Expand ((g - g + 4*g)*(-2 + 2 + 2) - 5*g + 2*g + g)*(-1 + 1 - 1). -6*g Expand (2*z + 0*z - 4*z)*(0 + 4 - 2) + 0*z - 3*z + 2*z + z + 2*z - z - z + z - 2*z - 25 + 26 + 4*z + 2*z. z + 1 Expand (z**2 - z**2 - z**2)*((-4*z + 4*z + z)*(z + 2*z + z) + z**2 + 3 - 2 - 3). -5*z**4 + 2*z**2 Expand (4*t + t**2 - 4*t)*(3*t - 2 + 1 - 4*t). -t**3 - t**2 Expand (-1 - 2 + 0)*(3*o**5 + 3*o**5 - 5*o**5) + (0 - 1 + 3)*(o + 3*o - 3*o)*(0*o**4 - 2*o**4 + 0*o**4). -7*o**5 Expand (-3*c + 5*c - 7*c)*(3*c**2 + 49 - 49). -15*c**3 Expand 5*m**2 + m**2 - m**2 + (-2 + 1 + 0)*(-m**2 - 2*m + 2*m) + 1 - 1 + 2*m**2. 8*m**2 Expand (-c**3 - 1 + 1)*(-22 - 226 - 8 + 5). 251*c**3 Expand (-5 + 1 + 2)*(-z + 2*z - 3*z)*(-2 + 2 - 2*z)*(4*z**2 + 0*z**2 + 2*z**2). -48*z**4 Expand (g**3 - 6*g**2 + 6*g**2 - 2*g)*(0 + 10 + 2). 12*g**3 - 24*g Expand -97*h**2 + 92*h**2 - 52*h**2 + h**2 - 5*h + 5*h + (-2*h - 3*h + 4*h)*(2*h - 4*h + h). -55*h**2 Expand (0*j + 2*j**2 + 2*j - 5*j)*(-j**2 + j**2 - j**2). -2*j**4 + 3*j**3 Expand (4*m + m - 4*m + (-2*m - 2*m + 2*m)*(-3 + 7 - 2))*(4*m**2 + m**2 - 6*m**2). 3*m**3 Expand (-4 + 4*t**2 - 2*t**2 + 3)*(10*t**3 - 3*t**3 + 0*t**3). 14*t**5 - 7*t**3 Expand (-2 + 2 - 2*y + 0*y - 2*y + y + (8*y - 5*y - 7*y)*(3 + 2 - 6))
{ "pile_set_name": "DM Mathematics" }