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? -1000000 What is 7.3261 rounded to two dps? 7.33 Round 299900 to the nearest one hundred thousand. 300000 What is 8.3187 rounded to the nearest integer? 8 Round 0.0000423792 to 6 dps. 0.000042 What is 0.000009092 rounded to 6 dps? 0.000009 What is -908000 rounded to the nearest one hundred thousand? -900000 Round 0.00253 to three decimal places. 0.003 What is -6920500 rounded to the nearest one hundred thousand? -6900000 Round -0.068509 to 3 dps. -0.069 Round -71.02 to 0 decimal places. -71 Round -12080000 to the nearest one million. -12000000 What is -37470000 rounded to the nearest one million? -37000000 Round 10730 to the nearest 10000. 10000 Round 0.6412 to one dp. 0.6 Round 561.48 to 0 decimal places. 561 Round 843200 to the nearest one hundred thousand. 800000 Round 304.7 to the nearest one thousand. 0 What is -0.5031 rounded to 1 dp? -0.5 What is 15271 rounded to the nearest one thousand? 15000 Round -4.7957 to zero decimal places. -5 Round 0.07028 to 3 dps. 0.07 Round 0.002708 to 3 dps. 0.003 What is -0.000002399 rounded to 7 dps? -0.0000024 What is 212.07 rounded to zero dps? 212 What is -0.01493 rounded to three dps? -0.015 What is -0.02342 rounded to 4 dps? -0.0234 What is 1080700 rounded to the nearest 100000? 1100000 What is -0.882 rounded to 1 dp? -0.9 Round -0.003388 to 3 decimal places. -0.003 What is 2446000 rounded to the nearest one hundred thousand? 2400000 What is -25.93 rounded to the nearest one hundred? 0 What is 0.00116453 rounded to five decimal places? 0.00116 Round -620.522 to zero dps. -621 Round 0.0000056345 to seven dps. 0.0000056 What is 631.4 rounded to the nearest 100? 600 Round 47.496 to the nearest integer. 47 What is 2.4059 rounded to zero decimal places? 2 Round 1967.8 to the nearest 10. 1970 What is 0.052708 rounded to 2 dps? 0.05 What is -80.3 rounded to the nearest ten? -80 What is -8265 rounded to the nearest one thousand? -8000 What is -50130000 rounded to the nearest 1000000? -50000000 What is -13930 rounded to the nearest one thousand? -14000 What is 65640000 rounded to the nearest one million? 66000000 Round 209.8 to the nearest 10. 210 Round 33.5879 to 1 decimal place. 33.6 Round -9342 to the nearest 100. -9300 What is 0.0415 rounded to two dps? 0.04 Round 0.4 to zero decimal places. 0 What is 3.324 rounded to the nearest integer? 3 What is 3.0599 rounded to one dp? 3.1 What is 202030 rounded to the nearest 1000? 202000 What is 50249100 rounded to the nearest 1000000? 50000000 What is -0.009593 rounded to 4 dps? -0.0096 What is 0.11428 rounded to 2 dps? 0.11 Round 0.00002944 to 5 decimal places. 0.00003 Round -195.9 to the nearest ten. -200 Round 28540 to the nearest one thousand. 29000 Round 179960 to the nearest 1000. 180000 What is -0.00086713 rounded to 5 dps? -0.00087 Round -903.8 to the nearest 10. -900 What is -0.00001551 rounded to seven decimal places? -0.0000155 What is 534930 rounded to the nearest one hundred thousand? 500000 What is 0.5494 rounded to two decimal places? 0.55 Round -3.44 to the nearest integer. -3 Round -0.001342 to five decimal places. -0.00134 Round 0.0227 to two dps. 0.02 What is 0.0000161 rounded to six dps? 0.000016 What is 3930 rounded to the nearest one thousand? 4000 What is -314200 rounded to the nearest 1000000? 0 What is 2199000 rounded to the nearest one million? 2000000 Round 4.8 to the nearest 100. 0 Round 1864840 to the nearest 100000. 1900000 Round -0.0045886 to three decimal places. -0.005 What is 0.0000001868 rounded to seven dps? 0.0000002 Round 0.000008962 to 7 decimal places. 0.000009 Round 0.000914 to 5 dps. 0.00091 What is -6062 rounded to the nearest 1000? -6000 Round -0.0000041595 to 6 decimal places. -0.000004 What is 183.567 rounded to zero decimal places? 184 Round 4948900 to the nearest 1000000. 5000000 What is -39.776 rounded to the nearest ten? -40 Round 0.0001747 to four dps. 0.0002 What is 385.227 rounded to zero decimal places? 385 What is 0.114718 rounded to two decimal places? 0.11 Round -0.00004524 to six dps. -0.000045 Round 0.046519 to 2 dps. 0.05 What is -0.0000107609 rounded to 7 dps? -0.0000108 What is 173.71 rounded to the nearest 10? 170 What is 253500 rounded to the nearest ten thousand? 250000 What is -0.000064029 rounded to 5 decimal places? -0.00006 What is 62.648 rounded to 1 decimal place? 62.6 Round 14030 to the nearest ten thousand. 10000 What is -604.1 rounded to the nearest one thousand? -1000 What is 30148 rounded to the nearest 10000? 30000 What is 0.0000002542 rounded to 7 dps? 0.0000003 Round -51853 to the nearest one thousand. -52000 Round 0.00349 to 4 dps. 0.0035 What is 0.00081575 rounded to four dps? 0.0008 What is -0.0000144 rounded to six dps? -0.000014 Round -0.00097449 to five decimal places. -0.00097 Round -1.2808 to two decimal places. -1.28 What is -0.000000418 rounded to 7 decimal places? -0.0000004 What is -0.71652 rounded to 2 dps? -0.72 What is -0.81356 rounded to two decimal places? -0.81 What is 0.00000045993 rounded to seven decimal places? 0.0000005 What is -4314000 rounded to the nearest one million? -4000000 Round -0.000015962 to 7 dps. -0.000016 Round 33604 to the nearest one hundred. 33600 What is -1377900 rounded to the nearest one million? -1000000 Round -57859 to the nearest one hundred. -57900 Round -0.000006836 to seven decimal places. -0.0000068 Round 0.0014356 to four decimal places. 0.0014 Round 944000 to the nearest ten thousand. 940000 Round -272.51 to the nearest 10. -270 What is -444000 rounded to the nearest one million? 0 Round -100.6 to the nearest ten. -100 Round 10110 to the nearest one thousand. 10000 Round -7149 to the nearest one thousand. -7000 What is -0.03427 rounded to 4 dps? -0.0343 What is 674300 rounded to the nearest 10000? 670000 Round -0.00000891 to seven dps. -0.0000089 Round 0.0141 to two dps. 0.01 Round 0.0017369 to 5 decimal places. 0.00174 What is -3237000 rounded to the nearest 1000000? -3000000 Round -4126.3 to the nearest 1000. -4000 What is -0.0001828 rounded to four dps? -0.0002 What is 60856 rounded to the nearest 10000? 60000 What is 1376.39 rounded to the nearest ten? 1380 Round 88750 to the nearest 10000. 90000 Round 19083000 to the nearest one hundred thousand. 19100000 What is 2578.8 rounded to the nearest 10? 2580 Round 0.0000884 to 6 dps. 0.000088 Round -2010000 to the nearest one million. -2000000 What is -839300000 rounded to the nearest one million? -839000000 Round -0.00928 to four dps. -0.0093 Round 0.0001129 to 6 decimal places. 0.000113 Round 0.253192 to three decimal places. 0.253 Round -0.00000694 to seven dps. -0.0000069 What is 36.308 rounded to zero dps? 36 What is 10.029 rounded to 1 dp? 10 Round 0.0001315 to 5 decimal places. 0.00013 What is -17850 rounded to the nearest 1000? -18000 Round -1.8537 to 2 dps. -1.85 Round 1059.33 to the nearest 10. 1060 What is -238040000 rounded to the nearest one million? -238000000 Round 0.00000344599 to seven dps. 0.0000034 What is -0.000170883 rounded to five dps? -0.00017 What is -0.0694 rounded to 2 dps? -0.07 What is -0.0000373 rounded to 5 decimal places? -0.00004 What is 14090 rounded to the nearest 1000? 14000 What is 3.01 rounded to one dp? 3 Round 0.007884 to three decimal places. 0.008 Round 330100 to the nearest 10000. 330000 What is 0.000003893 rounded to 6 dps? 0.000004 What is -555.79 rounded to the nearest integer? -556 What is 12602 rounded to the nearest one thousand? 13000 Round 652560 to the nearest ten thousand. 650000 What is -0.7681 rounded to one dp? -0.8 Round 0.000435278 to five dps. 0.00044 Round 116260 to the nearest 10000. 120000 What is -311 rounded to the nearest 100? -300 What is 6894000 rounded to the nearest one hundred thousand? 6900000 What is -1.4208 rounded to 2 decimal places? -1.42 Round -18331 to the nearest one thousand. -18000 What is -0.0000026215 rounded to seven decimal places? -0.0000026 What is -87200 rounded to the nearest 10000? -90000 What is -1730400 rounded to the nearest ten thousand? -1730000 What is -21340000 rounded to the nearest one million? -21000000 What is 1316000 rounded to the nearest 100000? 1300000 What is 681.3 rounded to the nearest 10? 680 What is 127575000 rounded to the nearest one million? 128000000 What is 19.09 roun
{ "pile_set_name": "DM Mathematics" }
15 + 4*s**2. What is the third derivative of j(u) wrt u? 6 Let t(b) = 15*b - 32. Let m(x) = x. Let c(o) = -2*m(o) - t(o). Differentiate c(q) wrt q. -17 Suppose 2 = -4*g + 10. What is the first derivative of -6 + a**2 + 4*a**g + 2 wrt a? 10*a Let w(y) = -50*y**2 + 20*y. Let s(p) = -49*p**2 + 20*p. Let a(o) = -3*s(o) + 2*w(o). Find the second derivative of a(n) wrt n. 94 Let q(x) be the first derivative of -x**2/2 - 2*x + 2. Let y be q(-4). What is the first derivative of 0*p**3 + y*p**3 + 1 + 0*p**3 wrt p? 6*p**2 Let p(y) be the second derivative of 11*y**7/42 - 53*y**3/6 + 21*y. Find the second derivative of p(w) wrt w. 220*w**3 Let n(u) be the second derivative of -4*u**5/5 - 17*u**2 - 33*u. What is the derivative of n(x) wrt x? -48*x**2 Let a(w) be the second derivative of 13*w**3/6 - 3*w**2 + 11*w. Differentiate a(x) wrt x. 13 Let d = 3 - 2. Differentiate 4*m + 0*m + 1 + d + 0 wrt m. 4 Find the third derivative of -6*r**3 - 1367*r**4 + 2*r**3 - 22*r**2 + 1359*r**4 wrt r. -192*r - 24 Let a(n) be the second derivative of -1/6*n**4 + 0*n**5 + 1/56*n**8 + 0*n**2 + 0 + 0*n**6 - 2*n + 0*n**7 + 0*n**3. What is the third derivative of a(w) wrt w? 120*w**3 Find the second derivative of -293 + 12*x + 293 - 15*x**3 wrt x. -90*x What is the third derivative of 27*d**3 + 24*d**3 - 51*d**3 + 26*d**2 - 27*d**5 wrt d? -1620*d**2 Let s(v) = 14*v**3 - 10*v**2 + 5. Let j(q) = 15*q**3 - 10*q**2 + 6. Let a(w) = 5*j(w) - 6*s(w). What is the third derivative of a(k) wrt k? -54 Let k be 1 - (-2 - -3 - 1). Let z(d) = 4 - 2*d - k - 5*d. Let j(i) = 22*i - 10. Let t(c) = -5*j(c) - 16*z(c). Find the first derivative of t(f) wrt f. 2 Let c = -7 + 12. Suppose 2*t + 5*s - 11 = -t, 0 = -c*t - 2*s + 12. Find the third derivative of -4*n**2 + n**3 + 3*n**t + 3*n**2 wrt n. 6 Let x(w) be the second derivative of -w**3 + 24*w**2 - 38*w. What is the derivative of x(z) wrt z? -6 Find the second derivative of -5 - 24*w + 61*w + 5 + 33*w**4 wrt w. 396*w**2 Suppose -2*z + 0 = 2. Let k be z*3*(-16)/12. What is the second derivative of -3*f**4 + 2*f**k + 4*f - 5*f wrt f? -12*f**2 What is the third derivative of -3*z**2 - 25*z - 2*z**2 + 25*z + 18*z**6 wrt z? 2160*z**3 Let i(n) = 2*n**5 - 3*n**4 + 35*n**3 - 3*n**2 - 9*n + 7. Let a(d) = -d**4 - d**2 - d + 1. Let v(r) = 3*a(r) - i(r). What is the second derivative of v(b) wrt b? -40*b**3 - 210*b Let h = 7 - 12. Let d = -6 - h. Let l(g) = 1. Let z(o) = 3*o**2 + 2*o + 4. Let n(p) = d*z(p) + 4*l(p). What is the second derivative of n(r) wrt r? -6 Differentiate -30 + 7*i**4 + 9*i**4 + 59 - 25 wrt i. 64*i**3 Let g(c) be the third derivative of -2*c**9/63 + c**5/12 - 14*c**2. What is the third derivative of g(l) wrt l? -1920*l**3 Let u = 3 - -1. Suppose -u*v = -v - 6. What is the derivative of 2*d**2 - 5*d**2 + d**v - 2 wrt d? -4*d Suppose -2*m + 8 = -k, k - 4*k = 2*m + 8. Let u be (-1 + -6)*k/14. Find the second derivative of -u*t + 0*t - 2*t**5 + t wrt t. -40*t**3 Find the first derivative of 5*m**4 - 8*m**4 - 3*m**4 + 5 wrt m. -24*m**3 Let j(c) be the first derivative of -c**7/21 + c**3/3 + 5*c - 2. Let y(d) be the first derivative of j(d). What is the second derivative of y(i) wrt i? -40*i**3 Let v(l) be the third derivative of 5*l**8/336 + l**4/8 - 7*l**2. Find the second derivative of v(o) wrt o. 100*o**3 Let m(j) be the third derivative of -19*j**9/504 - j**5/10 - 26*j**2. What is the third derivative of m(f) wrt f? -2280*f**3 Differentiate 10 - 7*z**4 + 15*z**4 - 9*z**4 wrt z. -4*z**3 Let f(l) be the second derivative of 0*l**2 + 0*l**5 + 0*l**3 + 0 - 1/15*l**6 - 1/4*l**4 + 3*l. What is the third derivative of f(r) wrt r? -48*r Let d(z) be the third derivative of -z**5/12 - z**3/3 - 6*z**2. Find the first derivative of d(k) wrt k. -10*k Let o(u) be the first derivative of u**8/28 + u**4/4 + 3*u - 1. Let h(b) be the first derivative of o(b). Find the third derivative of h(r) wrt r. 240*r**3 Find the second derivative of 4*d - 35*d**2 + 34*d**2 + 4*d wrt d. -2 Let w(t) = 15*t**2 + 13*t + 9. Let r = -16 + 23. Let n(a) = -6*a + 0 - r + 3 - 7*a**2 + 0. Let p(u) = -13*n(u) - 6*w(u). Differentiate p(b) with respect to b. 2*b Let h(g) = 7*g - 6. Let b(q) = -7*q + 5. Let w(l) = -4*b(l) - 3*h(l). Let s(y) = 14*y - 3. Let t(p) = 6*s(p) - 11*w(p). Find the first derivative of t(o) wrt o. 7 Let t(g) = 2*g - 1. Let b be t(3). Differentiate b*p - 4 + p + 4 - 1 wrt p. 6 Suppose -4*h - 2*f - 3*f = -19, -3*h = 4*f - 14. Find the third derivative of -2*v**2 + v**2 + v**6 - v**6 - 2*v**h wrt v. -240*v**3 Differentiate 24*n**3 + n**3 + 4*n - 19 - 4*n with respect to n. 75*n**2 Find the first derivative of -2 + 0 - 3 + 8 + 13*o**3 wrt o. 39*o**2 Let q(o) be the first derivative of 29*o**3/3 - 9*o**2/2 - 31. What is the second derivative of q(x) wrt x? 58 Let c = 13 - 9. Suppose -c*r + 3*r = -4. Find the third derivative of -3*k**2 + r*k**5 - 3*k**2 + 2*k**2 wrt k. 240*k**2 Let c(l) be the second derivative of -23*l**3/6 - 51*l**2/2 - 9*l. What is the first derivative of c(s) wrt s? -23 Let m(h) be the third derivative of 13*h**6/120 - h**4/24 + 10*h**2. Find the second derivative of m(c) wrt c. 78*c Find the third derivative of -15*k**4 + 16*k**4 + 9*k**2 - 2*k**2 wrt k. 24*k Let j(x) = 2*x**4 - 4*x. Let m(y) = 3*y**2 - 3*y**2 + y**2 - y. Let l(g) = j(g) - 4*m(g). What is the third derivative of l(n) wrt n? 48*n Let l(q) = q + 8. Let r be l(-5). Suppose -r*n = -0*n - 9. What is the first derivative of m - m + m - n*m + 1 wrt m? -2 Let t(a) = -54*a**4 + 2*a**3 + 34*a**2 - 2*a - 2. Let r(j) = j**3 - j - 1. Let v(g) = -2*r(g) + t(g). What is the third derivative of v(i) wrt i? -1296*i Let x(b) be the first derivative of 0*b**4 + 2/7*b**7 + 0*b**2 + 0*b**6 + 0*b**5 + 5/3*b**3 - 5 + 0*b. What is the third derivative of x(o) wrt o? 240*o**3 Let t be 4*(1 + (-2)/8). What is the derivative of 2*a**2 + 0 - t*a**2 + 1 wrt a? -2*a Let a(k) = -5*k**5 + 2*k**4 - 2*k**2 + 3*k. Let w(p) = p**5 + p**4 - p**2 - p. Let u(l) = -2*a(l) + 4*w(l). What is the second derivative of u(i) wrt i? 280*i**3 Find the first derivative of 0 + 0 - 4 - 4 - 20*w**2 wrt w. -40*w Let k be 6/9 - (-62)/6. Let b = k + -5. What is the first derivative of 1 - 3*o**4 - b + 2 + 5*o**4 wrt o? 8*o**3 Let b(m) be the second derivative of m**6/120 + m**4/12 + m**3/2 - 3*m. Let c(u) be the second derivative of b(u). Differentiate c(j) with respect to j. 6*j Let u(p) = 4*p**5 - 4*p**2 + 3. Let y(d) = d**2 - 1. Let h = -12 + 13. Let r(s) = h*u(s) + 3*y(s). Find the third derivative of r(g) wrt g. 240*g**2 Let w(x) be the first derivative of -31*x**2/2 + 15*x + 11. Find the first derivative of w(c) wrt c. -31 Let n(j) = -26*j**3 + 2*j**2 + 10. Let u(d) = -d**2 + 1. Let o(s) = -n(s) - 2*u(s). Differentiate o(v) with respect to v. 78*v**2 Let a(f) = -f**2. Let w(r) = -8*r**4 - 12*r**2. Let d(y) = 8*a(y) - w(y). Find the third derivative of d(p) wrt p. 192*p Let v(l) = 49*l**4 - 4*l**3 + 4*l**2 - 34*l + 1. Let b(g) = -g**4 - g**3 + g**2 - g. Let r(u) = 4*b(u) - v(u). Find the second derivative of r(f) wrt f. -636*f**2 Let a(j) be the second derivative of 0 - 1/4*j**4 + 0*j**5 - 5/42*j**7 + 0*j**6 + 0*j**2 + 0*j**3 + 3*j. What is the third derivative of a(q) wrt q? -300*q**2 Let b(c) be the first derivative of 2*c**5/5 + c**3/2 - 8*c - 1. Let s(d) be the first derivative of b(d). What is the second derivative of s(x) wrt x? 48*x Let k(p) be the third derivative of -2*p**7/105 - 4*p**3/3 - 6*p**2. What is the derivative of k(a) wrt a? -16*a**3 Let x = -2 + 6. Let f = 6 - x. What is the third derivative of -m**5 + 4*m**2 - m**2 - 4*m**f wrt m? -60*m**2 Let c(m) = -19*m**2 - 14*m. Let l(t) = 20*t**2 + 14*t. Let w(g) = 5*c(g) + 4*l(g). What is the second derivative of w(h) wrt h? -30 Let a(q) = q + 2. Let y(o) = -18*o**2 - 57*o - 2. Let p(n) = -a(n) - y(n). What is the second derivative of p(x) wrt x? 36 Let m(d) = -31*d**3 + 11*d**2 + d - 11. Let q(p) = 6*p**3 - 2*p**2 + 2. Let i(s) = -2*m(s) - 11*q(s). What is the second derivative of i(t) wrt t? -24*t Suppose -4*u + 26 = -6. Let m(p) = p - 5. Let a be m(u). Find the second derivative of a*w**3 + 2*w - w**3 + w**3 wrt w. 18*w Find the first derivative of -19 - 5 - 6*s**3 - 2 + 36*s**3 wrt s. 90*s**2 Suppose -2*w = -3*w, w = -4*u + 8. What is the third derivat
{ "pile_set_name": "DM Mathematics" }
e prime factors of d(v)? 13 Let x be 6/((-1)/((-141)/(-6))). Let i = -87 - x. List the prime factors of (2/3)/(4/i). 3 Let z = 2 - 3. Let v(u) = u**2 - 9*u - 2. Let m be v(10). Let q = z + m. List the prime factors of q. 7 Let l(i) = i + 2. Let y be l(-2). Suppose y = 2*j - 6*j + 72. What are the prime factors of 5*j/(-10)*-2? 2, 3 Let l(g) = g**3 - 9*g**2 - 8*g + 3. Let p(s) = s**3 - 9*s**2 - 8*s + 4. Let y(a) = 4*l(a) - 3*p(a). List the prime factors of y(10). 2, 5 Let m(k) = k**3 - 2*k**2 - 21*k + 3. What are the prime factors of m(6)? 3, 7 List the prime factors of 120 + 7 - (1 + -1). 127 Let b = 2 - 4. Let z(o) = -7*o - 1. What are the prime factors of z(b)? 13 Let j(m) = -2*m**3 - 3*m**2 + 3*m - 4. List the prime factors of j(-3). 2, 7 Suppose 2*f = -0*f + 4*a + 46, 4*f - 3*a = 107. What are the prime factors of f? 29 Let q be (-2)/(12/(-39))*2. Let n = -3 + q. List the prime factors of n. 2, 5 Suppose -h - 1 = 8. Let t = h - -14. Suppose t*c - c = 24. List the prime factors of c. 2, 3 Let n(x) = x**3 - 14*x**2 - 8*x - 21. List the prime factors of n(15). 2, 3, 7 Suppose -380 = 51*o - 55*o. List the prime factors of o. 5, 19 Suppose 3*a + 2*j - 5 = 12, -2*a = -2*j - 28. What are the prime factors of 0 + (a - (1 - 3))? 11 Let z = 70 + 28. What are the prime factors of z? 2, 7 Let k(b) = b**2 - 6*b + 2. Let d be k(6). Let y be 1/3 - d/6. Suppose y = h + 2*h - 15. What are the prime factors of h? 5 Let n = 162 - 25. List the prime factors of n. 137 Let v(p) = -p**2 + 14*p - 7. Let u be v(9). Let y be 1/3 - u/6. List the prime factors of 2/(-6) + (-56)/y. 3 Let j(m) = -m**3 - 5*m**2 - 3*m + 3. Let l be j(-4). Let i = l + 2. Let f(y) = 12*y**3 - y**2. What are the prime factors of f(i)? 11 Let u(f) = f**3 - 5*f**2 + 3*f - 6. Let b be u(5). Suppose -3*r = -6*r + b. Suppose 0 = r*m + 2*m - 50. List the prime factors of m. 2, 5 Suppose 7*g = 5*g + 92. List the prime factors of g. 2, 23 Let d = -423 - -769. What are the prime factors of d? 2, 173 Let i(v) = v + 10. Let a be i(-5). Suppose -4*q = 3*d - 74, -157 + 25 = -a*d + 2*q. Suppose 4*z - d = -6. List the prime factors of z. 5 Let v = -46 + 118. Let m = -51 + v. Let r = -11 + m. List the prime factors of r. 2, 5 Suppose 100 = -11*o + 6*o. Let b = -1 - o. What are the prime factors of b? 19 Suppose 13 = 2*p + 1. Suppose 100 = -2*t + p*t. List the prime factors of t. 5 What are the prime factors of 82/12 - (-16)/96? 7 Let q(y) = 7*y - 3. Let u(j) = -3*j + 6 - 6 + 4*j. Let n be u(3). What are the prime factors of q(n)? 2, 3 Suppose -3 + 12 = -3*n. Let v(y) = -y - 3. Let l be v(-4). What are the prime factors of (1 + l)/(n/(-6))? 2 Suppose -m - 1 = -0. List the prime factors of (7 + (m - -2))*2. 2 Let v be 2 - (1 + (-2 - -1)). Let m be (2/(-5))/(v/(-10)). Let g(i) = i**3 - i**2 + 2*i - 1. What are the prime factors of g(m)? 7 Suppose -3*o + 5*o = 4. Suppose 0 = 3*j + r - 3, o*j + j + 4*r = 12. Suppose j = -5*s + 52 - 17. List the prime factors of s. 7 Let q(y) = 2*y**2 + 3*y - 1. What are the prime factors of q(4)? 43 Suppose -8*i + 25 = -3*i. Suppose -5*d = i + 10. What are the prime factors of -3 - (-18 - d - 0)? 2, 3 Let w be 7 - (5 - 2) - 0. Suppose -4*i + 3*a + w = -35, -i - a + 15 = 0. What are the prime factors of i? 2, 3 Suppose -b = 2*b - 75. Suppose 2*h - b = h. List the prime factors of h. 5 Let l be 2/(-2 - -4) - -2. Suppose -37 = -l*h + t, -t - 35 = -4*h + 14. Let r = -4 + h. List the prime factors of r. 2 Let w(k) = k**3 + 4*k**2 + 4*k - 1. Let m be w(-3). What are the prime factors of 16/m*38/(-8)? 19 Let u = -26 + 44. Let b(d) = -11*d**3 - 2*d**2 - d. Let x be b(-1). Let c = u - x. List the prime factors of c. 2 Let a = 69 - 31. Let v(z) = 4*z + 3. Let f be v(-7). Let m = f + a. List the prime factors of m. 13 Let t(i) be the first derivative of -i**7/840 + i**5/120 + i**4/12 + 2*i**3/3 - 4. Let s(o) be the third derivative of t(o). List the prime factors of s(0). 2 Let v = -81 - -152. List the prime factors of v. 71 Let w be 4*(-1)/(-4)*35. Suppose 3*i - w = -2*i. List the prime factors of i. 7 Let q = 5 + -10. Let h = -2 - q. List the prime factors of h. 3 Let h = 3 + 2. Suppose 5*u - 5*b = 235, 3*u - 13 = h*b + 136. What are the prime factors of u? 43 Suppose 10 = 3*u - 2. Let q be (-14)/(-8) - (-1)/u. Suppose q*p + 3*r - 74 = -3*p, 0 = 3*p - 3*r - 30. List the prime factors of p. 13 Let h(d) = 12*d - 7. Let c be h(5). What are the prime factors of (-8)/14 + c/7? 7 Suppose 2*t + 4*g + 8 = -0*t, 2*g - 20 = -5*t. Let m be (3*2)/(t/(-4)). What are the prime factors of 8 + m - 0/1? 2 Suppose 2*b + 0 - 2 = 2*w, 4 = 2*b - w. List the prime factors of b. 3 Let c = -4 - -7. Suppose 12 = c*z - 99. What are the prime factors of z? 37 Let b(r) = -2*r - 12. Let h be b(-8). Suppose 5*p = h*g - 60, -48 = -5*g + 4*p + 18. List the prime factors of g. 2, 5 Let q(n) = 7*n**2 - 11. What are the prime factors of q(4)? 101 Let x be 4/30 - (-774)/270. Suppose 2*a + 0*a = 10. Suppose 0 = w - x*z - 10, -4*z + 7 = 5*w - a. What are the prime factors of w? 2 Let b(q) be the second derivative of -q**5/20 - q**3/6 + 13*q**2 - 5*q. What are the prime factors of b(0)? 2, 13 Suppose 5*w - 160 = 1305. Suppose -5*p - 98 = -w. What are the prime factors of p? 3, 13 Let m(b) = -2*b - 6. Let o(p) = -6*p - 17. Let r(k) = 17*m(k) - 6*o(k). What are the prime factors of r(11)? 2, 11 Let y = 5 + 5. Suppose 0 = 2*x - i - 4*i - y, x + 4*i = 31. What are the prime factors of x? 3, 5 List the prime factors of ((-9)/(-3) - 167)/(-2). 2, 41 Suppose 1 = w - 2*w. Let f be ((-18)/(-8))/(w/(-8)). Suppose -2*k = 3*s + 3*k - f, -k - 58 = -5*s. List the prime factors of s. 11 Suppose 0 = 2*p - 1 - 7. Suppose -p*y = -0*y - 28. What are the prime factors of y? 7 Let h(q) = -8*q + 1. Let o be h(-1). Suppose -l = o - 1. Let z = l - -15. What are the prime factors of z? 7 Let v(b) = b + 10. Let a be v(0). Suppose m + 4*q - a = -0*q, 4*q - 34 = -5*m. Let h = m + -2. What are the prime factors of h? 2 Let c(v) = 6*v - 26. List the prime factors of c(11). 2, 5 Suppose -4*m - 178 = -74. Let r = m + 44. What are the prime factors of r? 2, 3 Suppose -n - 2*n = -9. List the prime factors of n. 3 Let v be (2 + -3)/(1/(-11)). Let q be 1/(-3) + (-10)/6. List the prime factors of (0 + -2)/(q/v). 11 Suppose -4*w + 5 = 1. Let m(b) = 4*b. List the prime factors of m(w). 2 Suppose -10 = -5*u - 0. Suppose 6*h - u*h = 88. What are the prime factors of h? 2, 11 Suppose 24 = u + 8. What are the prime factors of u? 2 Suppose -g = -3*r + 9, 2 = g - 1. Suppose 0 = 3*d - r*d + 6. Let b(p) = p**2 - 3*p - 6. List the prime factors of b(d). 2, 3 Suppose -153 = -4*h - 21. What are the prime factors of h? 3, 11 Let y = 105 + -48. List the prime factors of y. 3, 19 Suppose 5 = -3*m + 185. List the prime factors of m. 2, 3, 5 Suppose 0 = -3*k + 6*k - 270. What are the prime factors of k? 2, 3, 5 List the prime factors of (-3 + -2)*(-6 - -5). 5 Let n(g) = g**2 - 9*g + 10. Let a be n(7). Suppose 4*i + 2 = -6. Let w = i - a. List the prime factors of w. 2 Suppose 318 = 5*n - 232. List the prime factors of n. 2, 5, 11 Suppose 7*o + 65 = 506. What are the prime factors of o? 3, 7 Suppose 0 = 9*r - 3*r - 2202. What are the prime factors of r? 367 Let r = 86 + -46. List the prime factors of r. 2, 5 Let x(w) = w**3 + 7*w**2 + 6*w. Let s be x(-6). What are the prime factors of 13 + (2 - (2 + s))? 13 Let s be ((2 + -3)/1)/(-1). Let g be 2*2 - (0 + s). Suppose g*x + 2 = 4*x. What are the prime factors of x? 2 Let y = -10 - -27. What are the prime factors of y? 17 Let j(u) = 3*u**2 + u + 6. List the prime factors of j(-5). 2, 19 Let l(n) = n**3 + 6*n**2 + 6*n + 5. Let j be l(-5). Suppose -2*i + f = -0*i - 55, i = -3*f + 17. List the prime factors of 1 + i/2 + j. 2, 7 Let y(m) be the third derivative of -m**5/60 + m**4/3 - 5*m**3/6 + m**2. What are the prime factors of y(6)? 7 Suppose 8*m - 358 = 762. List the prime factors of m. 2, 5, 7 Suppose 0 = -3*q - 0*m - 2*m + 377, 4*m - 373 = -3*q. What are the prime factors of q? 127 Suppose 2*t - 7*t = -25. Suppose -t*f = -2*f - 3*n - 15, -5*f + 2*n = -10. Suppose f = -3*r + 11 + 1. List the prime factors of r. 2 Let j be (-1 - -1)/(1 + 0). Suppose -5*z + 3*p + 35 = j, 3*z = 3*p + 11 + 10. Let h = -2 + z. List the prime factor
{ "pile_set_name": "DM Mathematics" }
Is z equal to j? False Let k(c) = -2*c**2 - 4*c. Suppose -5*o - 27 = 4*a, -2*o - 18 = 5*a - o. Let j be k(a). Which is greater: j or -3? -3 Suppose 3*z = 5*c + 75, -3*z - 135 = -8*z + 5*c. Is 32 bigger than z? True Let b(t) = -t + 5. Suppose 7 = -4*x + 31. Let r be b(x). Let n(i) = -i**2 - 6*i. Let j be n(-6). Which is greater: r or j? j Suppose -20 = 5*n - v + 5*v, 5*v - 20 = 5*n. Is -6 greater than n? False Let m = -227 - -8625/38. Do m and 1 have different values? True Let h(x) = -6*x + 10. Let l(t) = t - 1. Let i(d) = 2*h(d) + 10*l(d). Let b be i(5). Which is smaller: 1/15 or b? b Let u = -30 - -29. Suppose 0 = 5*j - 8 - 17, 3*p + 3*j - 15 = 0. Suppose 5*o - 4*o + 1 = p. Is u at most as big as o? True Suppose -2*b + 0 = -4. Let v = b + 0. Let l be v/(-8) - (-39)/(-36). Is -1 != l? True Suppose 3 + 1 = 4*t. Let j = 5 + t. Let y be j/(-14)*(-1)/(-3). Is y greater than 1? False Let a(w) = w**3 + 14*w**2 - 31*w + 5. Let x be a(-16). Which is smaller: -13 or x? -13 Let g(b) = b**3 - 4*b**2 + 4*b. Let c be g(3). Suppose c*n = 2*n. Which is bigger: 2 or n? 2 Suppose -3*i - 55 = 32. Is -28 greater than or equal to i? True Let a(v) = 6*v - 3. Let n be a(3). Let s be 11/n - 2/5. Is 2 != s? True Let t be 44/(-66) - (-52)/42. Which is bigger: t or 0? t Let h(r) = -7*r + 1. Let b be h(-3). Let q be 1/3 + b/(-30). Which is smaller: -1 or q? -1 Let w = 13 - 19. Let l = w + 25. Are 19 and l equal? True Suppose 0 = 4*a - 0*a. Let g be 0 + -1 + -4 + 2. Let h(s) = s + 3. Let x be h(g). Is x > a? False Let u = 13 - 9. Let n = u + -3.8. Which is bigger: -2/5 or n? n Let m = -16 + 28. Suppose 5*b - 15 = 5*x, 0*x + x = -4*b + m. Let u = -3 + b. Is 6/7 greater than or equal to u? True Suppose -2*d - c = -5, -5*c - 4 = -3*d - 3. Suppose -f - d = -3*f. Let j be (2/5)/(34/(-10)). Which is smaller: j or f? j Suppose 6*f + 112 = 2*f. Let c be (1 + 0)*(-6 + 1). Let g be 2/c + f/(-45). Which is smaller: -1 or g? -1 Let d(u) = -u**2 - 10*u - 9. Let v be d(-9). Suppose 4*c + v = 4. Let l = 1.4 - 1.5. Is c < l? False Let j = -5 + 4.9. Let k = 8 - 8. Is j at most as big as k? True Let k = -3/2 + 5/4. Does k = 4? False Let n = 6 + -3. Are -4/7 and n unequal? True Let k = 976/105 + -66/7. Let q = 2/3 - 1/3. Which is smaller: k or q? k Let m be (64/(-600))/(2/10). Which is bigger: 0 or m? 0 Let j(q) = -q + 5. Let u be j(-8). Is u greater than -1? True Suppose 2*a + 10 = -2. Let b = 10 - 5. Suppose -11 - 18 = b*z + w, 0 = 2*z - 5*w - 10. Is z at least as big as a? True Let u(m) = -m**3 - 4*m**2 - 2*m + 1. Let t be u(-2). Let w be 33/(-12) - (-6 - t). Let s(a) = -a - 5. Let h be s(-4). Which is smaller: w or h? h Let r(v) = 3*v**3 - v**2 + 1. Let n be r(1). Suppose 3*b = 3*x, 2*x = -2*x + 5*b - 2. Which is smaller: n or x? x Let d = -0.14 - 4.86. Is -4 bigger than d? True Let v = -374779/64 - -442836569507/75621952. Let g = v + 3/5722. Let i = g - -116/413. Which is greater: i or -2/7? i Let v(y) = 2 - 2*y**2 - 3 - y + 0 + y**2. Let h be v(0). Which is smaller: -2 or h? -2 Let f(p) = p + 3. Let h be f(-9). Let d be (-27)/h*(-39)/(-9). Let w = -20 + d. Is w greater than or equal to -2? True Let p = 0.34 - 1.34. Which is greater: -2/5 or p? -2/5 Let f be ((-3)/(-3) + 0)/(-1). Let w be -1 + 5 - (3 + f). Is 5/4 equal to w? False Let z be (-6)/39 + (-1636)/13. Let t be 2/7 - (-64)/z. Which is greater: t or -1/4? t Suppose -11 = -v - 2. Suppose 4*w - 26 = u - 7, 5*w = -3*u + 45. Let s be (6/(-56))/(v/w). Which is greater: s or 0? 0 Let b(g) = g**3 + 4*g**2 - 6*g - 5. Let d be (-1)/((-9)/5 - -2). Let z be b(d). Which is smaller: z or -1? -1 Let j(q) = -q + 5. Let g be j(6). Let i be g + (6 - 1*-2). Suppose -3*p + 19 = 4*f, -f + i = 2*p + p. Which is greater: 2 or p? 2 Suppose 15 = 3*r - 3*j + 84, -3*r - j - 69 = 0. Is -23 smaller than r? False Let d be (-18)/(-10) + 4/4*-4. Is -2 smaller than d? False Let s be 1*-5 + 0 + -2. Is 6 less than or equal to s? False Suppose 0 = l + 4*y + 10, -2*l = -l - 2*y - 14. Let q = 10 - l. Let k = -1 - -4. Which is greater: q or k? q Let g = -4 + 7. Suppose -5*u - c = 2*c - 30, c - 8 = -u. Are u and g unequal? False Let q = 16 - 12. Is 4 >= q? True Let a be (-2)/5 + (-8)/(-20). Suppose -t - t - 4 = a. Suppose 2*z - 4*z - 3*c = -6, 4*c = 16. Which is greater: t or z? t Let y = -1.3 + -6.2. Let u = y - -9. Which is smaller: -1/3 or u? -1/3 Let m be 75/30*(-8)/45. Which is greater: m or -1? m Let x be 1162/(-624) - (-4)/(-6). Let s = x + 19/8. Suppose 0*p = -p. Is p greater than s? True Let t = -5 + 10. Suppose -5*g + 2*y = t*y + 14, 12 = -4*y. Do -2 and g have different values? True Suppose 2*r + r - 21 = 0. Let s be (-1)/(-2)*4/r. Is s not equal to 0? True Suppose -4*x + 6 = -2*x. Let l be (-3)/(-18)*x/2. Suppose -3 = -3*u - 0. Which is smaller: u or l? l Let t be 8/(576/(-124)) + 4/18. Which is smaller: -3 or t? -3 Let w(m) = m**3 + 7*m**2 - 2. Suppose -2*p = 5*a + 37, -a + 2*a + 3 = 4*p. Let r be w(a). Which is bigger: r or 0? 0 Let r = 61 + -58.2. Which is greater: 0.2 or r? r Let h = -24 + 59. Suppose 0 = 5*w - 0*w - h. Suppose -4*n + 3*n = m + w, 5*n = -m - 27. Which is smaller: m or -3? -3 Let x = -0.31 - -0.61. Is 4 smaller than x? False Let k = 9.14 - 0.54. Let g = k + -8. Let s = -0.5 + g. Which is smaller: -2/9 or s? -2/9 Let k = 11.85 + -12. Let a = k + 0.22. Is a at most 1? True Suppose -5*z - 35 = 2*t, -4*z + 5 = 25. Let r = -1 - t. Let u = r - 3. Is u greater than -1? True Suppose 5*n = 2 + 8. Suppose -n*a - 4 = -0. Let o = -30 - -212/7. Which is bigger: o or a? o Let n = -0.21 - -0.11. Which is smaller: n or -0.06? n Let j = -218.97 + 218. Let a = 0.03 - j. Which is smaller: -0.3 or a? -0.3 Let b = -8 - -7. Let u be b/6 + (-1)/2. Is 0 less than or equal to u? False Let x be (-10)/(-14) + (-6)/14. Is x at least 1? False Let r be (-4)/2 + (-160)/(-50). Which is greater: r or 2/7? r Let l = 0.011 - 11.111. Let a = -11 - l. Which is greater: a or -1.2? a Let r = 24 + -55. Let d = r - -46. Is d equal to 16? False Let p = 12 + -34/3. Let i(z) = -z. Let b be i(-2). Which is greater: p or b? b Let h(z) = -z**3 - 11*z**2 + 12*z + 2. Let f be h(-12). Let w be -1 + 1 - (1 - -1). Which is smaller: w or f? w Suppose 3*j = -t - 13, 3*j = -2*t + 4*t - 10. Let o be j/(-10) + 32/20. Which is smaller: 3 or o? o Let j = -2 - 1. Let l be (-186)/210 - j/5. Which is bigger: 0 or l? 0 Let i = -0.1 - -0.2. Let y = 79 - 551/7. Is y != i? True Let n = -23 + 22.7. Let g = 46 - 320/7. Which is smaller: n or g? n Suppose -48 = -0*b - 4*b. Let z = 24 - b. Is 12 less than z? False Suppose h - 2 = 3*q, h = -2*h - 3*q - 42. Let f be (-20)/h*2/16. Let c(a) = -a - 9. Let s be c(-8). Do s and f have the same value? False Let j be (-2 + 8/5)/(6/(-9)). Suppose 3 = -l + 4. Suppose 3*y = 4*y - l. Is j at most y? True Suppose 3*r - 4 = -4*d, 5*d - 5 = -4*r - 0. Let p = 18/17 + -125/102. Is d at most p? False Let f(n) = n + 4. Let u be f(-3). Let p = -1 + 2. Is p bigger than u? False Let d be 4/105*5/2. Let f = d + 4/7. Let y = -0.08 + 0.28. Does y = f? False Let g(q) = q**3 + 2*q - 5. Let k be g(0). Suppose m + 3*o - 5 = 0, 9*o = 4*o + 20. Which is bigger: m or k? k Let a = -6221/2422 - 1/346. Which is greater: -3 or a? a Let q be 5/(-7) - (-6)/(-21). Let k = -0.2 - -0.3. Let s = 0 + k. Which is greater: q or s? s Suppose -5*y = j + 107, -5*y = -6*j + 3*j + 119. Let w be 0 - (-2 - y/10). Which is smaller: -1 or w? -1 Let q = 2 - 2.1. Let h = -0.12 - q. Let f = h + 0.02. Which is smaller: f or 4? f Suppose -4*q + 0*t = -4*t - 20, 5*t + 15 = 0. Let o = 14 + 3. Suppose -h + 4*x - 14 = h, -h = -4*x + o. Is h smaller than q? False Let z be (-2)/(-4)*(2 - 2). Suppose -15 = 5*m + j, 0 = -z*m - m - 5*j - 3. Let l be (1 + -6)*(m + 2). Is 5 greater than l? False Let v = -15 - -17. Let y be v/(-8) + 10/160. Which is smaller: 0 or y? y Let g be ((-8)/6)/((-570)/45). Which is greater: g or 0? g Let p(q) = 3*q - 23. Let d be p(7). Suppose 3*k - 2*f = -1 - 0, -f - 2 = k. Which is smaller: d or k? d Let f(u) = -u**2 + 4*u - 1. Let q be f(3). Let r be ((-6)/(-2))/12*(3 - 4). Is q at least r? True Let h be 32/(-64) - 2/(-4). Are -7/15 and h equal? False Let m be 39/(-42) - 2/4. Is m less than -1? True Suppose 0*p - 4*p = -4. Let i = -84 - -171/2. Is i at most p? False Let y(q) = q + 10. Let
{ "pile_set_name": "DM Mathematics" }
3*p**2 Collect the terms in -667*q - 17*q**3 + 19*q**3 + 599*q. 2*q**3 - 68*q Collect the terms in -5*k**2 + 325 - 58 - 99. -5*k**2 + 168 Collect the terms in 97 - 19 + 19*y**3 + 8*y**3 - 28 - 21 - 29. 27*y**3 Collect the terms in 2*k**2 + 570764*k + 571773*k - 5 + 5 - 1142537*k. 2*k**2 Collect the terms in -52540151*i + 52540151*i - 32*i**2. -32*i**2 Collect the terms in -28*t + 28*t - 978692*t**3. -978692*t**3 Collect the terms in -4*x**2 + 41321872 - 41319950 + 3*x**2. -x**2 + 1922 Collect the terms in 131*t**3 + 123*t**2 + 122*t**2 - 386*t**2 - 93*t**3 + 141*t**2 - 35*t**3. 3*t**3 Collect the terms in 31271540955*m**2 + 8*m**3 - 31271540955*m**2. 8*m**3 Collect the terms in 4*m**3 - 305781538*m**2 - 305781536*m**2 - 6*m**3 + 611563074*m**2. -2*m**3 Collect the terms in 563*y**2 + 24896*y**3 - 1129*y**2 + 566*y**2. 24896*y**3 Collect the terms in -3932*h - 1275*h + 82*h. -5125*h Collect the terms in -157277*z**2 + 157288*z**2 - 25 + 25 + 18*z. 11*z**2 + 18*z Collect the terms in 31*r**2 - 59*r**3 + 22*r**3 - 62*r**2 - 95*r**3 + 31*r**2. -132*r**3 Collect the terms in -3 + 108 - 29 + 192 + 244 - v - 2*v**2 + 344. -2*v**2 - v + 856 Collect the terms in -3 + 4 + 63888*m**2 + 5 - 63890*m**2. -2*m**2 + 6 Collect the terms in -210*l - 185*l + 398*l - 208*l. -205*l Collect the terms in -38*o**2 + 82 - 21 - 13 - 30 - 10*o**2 - 19. -48*o**2 - 1 Collect the terms in 5638*r**2 + 2900*r**2 + 7707*r**2. 16245*r**2 Collect the terms in 89791*t**2 - 1 - 148933*t**3 - 89791*t**2. -148933*t**3 - 1 Collect the terms in -29*j + 9 - 82*j - 26*j - 10 + 141*j. 4*j - 1 Collect the terms in 3917238 - 3*q**2 - 7834497 + 3917259. -3*q**2 Collect the terms in 4012744*i**2 + 10 + 2 - 4012747*i**2. -3*i**2 + 12 Collect the terms in -36*d + 28*d + 10 + 5 - 22 + 6. -8*d - 1 Collect the terms in -1735 + 23*k**2 + 6945 - 1731 + 23*k**2 - 1748 - 1732. 46*k**2 - 1 Collect the terms in 273*k**2 + 130*k**2 - 100*k**2 + 238*k**2 + 94*k**2. 635*k**2 Collect the terms in -15 - 34 + 97 + 254*n - 48 + 21*n. 275*n Collect the terms in 833*s + 1 + 356*s + 585*s - 1. 1774*s Collect the terms in -595*a + 3587876 - 3587876. -595*a Collect the terms in -4671*m - 2767*m - 5485*m. -12923*m Collect the terms in 146*k - 33*k - 18*k - 58*k - 54*k. -17*k Collect the terms in 21754463 - 21754463 - 535*b. -535*b Collect the terms in -1307 - 16*d**2 - 1301 + 2608. -16*d**2 Collect the terms in -1714*l + 3078*l - 4*l**2 - 3*l**2 - 1636*l. -7*l**2 - 272*l Collect the terms in 49 - 18*n**2 - 1303 + 1254 + 4*n**2. -14*n**2 Collect the terms in -d**2 - 2*d**2 - 759970*d**3 + 759778*d**3 + 2*d**2. -192*d**3 - d**2 Collect the terms in -8011*l**2 - 8330*l**2 - 7831*l**2 - 6984*l**2. -31156*l**2 Collect the terms in -66642*v**2 + 74081*v**2 - 1 - 1 + 2. 7439*v**2 Collect the terms in -2223*h**2 + 2475*h**2 - 233*h**2. 19*h**2 Collect the terms in 372181*r**2 - 185484*r**2 - 186694*r**2. 3*r**2 Collect the terms in -4*w + 23*w**2 + 5 + 39*w**2 + 219*w**2 - 2 - 2*w**2. 279*w**2 - 4*w + 3 Collect the terms in 17*q**2 + 2121*q**3 + 3*q**2 - 2114*q**3 - 7*q**2. 7*q**3 + 13*q**2 Collect the terms in 1770872 + 4*k + 1770863 - 3541735 - 4*k + 40*k**2. 40*k**2 Collect the terms in -2541836 + 5083669 - 2541833 + 178*u**3. 178*u**3 Collect the terms in 7 - 84339*u**2 + 84339*u**2 - 4179*u**3 + 2*u. -4179*u**3 + 2*u + 7 Collect the terms in 3318*i + i**3 + 5 + 901*i + i**3 - 8. 2*i**3 + 4219*i - 3 Collect the terms in 13*g**2 + 16*g**2 - 25*g**2 - 3 - 680173*g. 4*g**2 - 680173*g - 3 Collect the terms in -62802*u + 86782*u + 204707*u + 52318*u. 281005*u Collect the terms in -5103*w**3 + 1668*w**3 + 1722*w**3 + 1752*w**3. 39*w**3 Collect the terms in -33*s**2 + s - 1520 + 3041 - 21*s**3 - 1521 + 8*s**2. -21*s**3 - 25*s**2 + s Collect the terms in 53*s**2 - 68*s**2 + 4*s**2 + 406*s - 205*s - 201*s + 9*s**2. -2*s**2 Collect the terms in 144894 + 29666 + 63*t + 18379. 63*t + 192939 Collect the terms in 7893*c**3 - 159*c**3 + 3371*c**3 + 3916*c**3. 15021*c**3 Collect the terms in 3*a**2 + 73469 + 75451 - 148920. 3*a**2 Collect the terms in -21972 - 21974 - 22*i**3 + 65922 - 21976. -22*i**3 Collect the terms in 144*q**3 + 44*q**3 + 6*q**2 + 14*q**2. 188*q**3 + 20*q**2 Collect the terms in 2818 - 851*h + 847*h + 3737. -4*h + 6555 Collect the terms in 126*a + 6463*a + 15950*a. 22539*a Collect the terms in 6990*m + 1 - 1 + 7066*m - 13686*m. 370*m Collect the terms in -22*p + 189*p + 312*p**2 - 222*p**2. 90*p**2 + 167*p Collect the terms in 57*h**2 + 0*h + 0*h + 4078 - 8014 + 3936. 57*h**2 Collect the terms in -5 + 27*z - 138581228*z**2 + 28*z - 55*z + 5 + 138581231*z**2. 3*z**2 Collect the terms in 0 + 66594*i + 6*i**3 - 133189*i + 66595*i + i**3 - 5. 7*i**3 - 5 Collect the terms in 16*n + 221*n + 106*n - 108*n + 109*n + 327*n. 671*n Collect the terms in -11595114*d**2 - 11*d + 11594252*d**2 + 11*d. -862*d**2 Collect the terms in 11*c**2 - 12 + 3*c - c + 2*c + c. 11*c**2 + 5*c - 12 Collect the terms in -1520 + 47*j**3 + 1517 - 677*j**3. -630*j**3 - 3 Collect the terms in 2*q - 1 - 25071*q**2 + 15 + 3032*q**2. -22039*q**2 + 2*q + 14 Collect the terms in 5*f + 37 + 30 - 6. 5*f + 61 Collect the terms in 531641910848611 - 5*o**3 - 531641910848611. -5*o**3 Collect the terms in -4*k - 10*k + 9*k - 64 + 69 - 5*k. -10*k + 5 Collect the terms in 9*l + 4068 - 7*l + 23278. 2*l + 27346 Collect the terms in 21*s + 26*s - 3131 - 8012 - 168*s. -121*s - 11143 Collect the terms in 2488*w**2 - 43*w**2 - 37*w**2 - 2496*w**2. -88*w**2 Collect the terms in 877*y**3 - 423 - 433 + 856. 877*y**3 Collect the terms in 3071 + 231*f + 3048 - 2208 - 254*f. -23*f + 3911 Collect the terms in 92 - 371693*j - 47 - 45. -371693*j Collect the terms in 54260 + v**3 - 117490 + 63230. v**3 Collect the terms in -210*g - 73 - 35 + 84. -210*g - 24 Collect the terms in 67*b**2 + 71*b**2 - 340*b**2 + 61*b**2 + 70*b**2 + 18*b + 74*b**2. 3*b**2 + 18*b Collect the terms in 1620*p**3 - 2*p**2 - 446*p**3 - 755*p**3 - 442*p**3 + 2*p**2. -23*p**3 Collect the terms in 6325*l**3 + 9312*l**3 - 272*l**3. 15365*l**3 Collect the terms in -29*s**2 + 29*s**2 - 1359*s**3 - 238*s**3 - 145*s**3. -1742*s**3 Collect the terms in -241*f**2 - 2 + 2 - 238*f**2 - 183*f**2 + 659*f**2. -3*f**2 Collect the terms in 196*d**3 - 3519*d**3 - 1605*d**3 + 842*d**3 - 1648*d**3. -5734*d**3 Collect the terms in -708490*y**2 + 13 + 1416941*y**2 - 708450*y**2. y**2 + 13 Collect the terms in 598546*l + 64311*l - 21512*l. 641345*l Collect the terms in 383*o - 3914*o + 6244*o. 2713*o Collect the terms in 4232*t + 2293 - 4234*t + 2027 - 4320. -2*t Collect the terms in 8005937 - 8005937 + 7151*y. 7151*y Collect the terms in 14617*d + 14268*d + 7 + 3 - 7 - 9844*d. 19041*d + 3 Collect the terms in 15*t + 13*t + 461 + 125 - 37. 28*t + 549 Collect the terms in 31*f - 10*f - 14*f - 8*f + 6*f - 15*f**3 - 4*f. -15*f**3 + f Collect the terms in 7*y + 4*y**3 + 17*y**3 - 43 + 36*y**3 - 5*y. 57*y**3 + 2*y - 43 Collect the terms in 7750 - 5*u**2 + 13*u**2 - 3*u**2 + 7743 + 14*u**2 - 15493. 19*u**2 Collect the terms in -5*z**2 - 24046*z**3 + 0*z**2 + 5*z**2. -24046*z**3 Collect the terms in 2 - 53*r**3 + 58*r**3 - 8 - 52*r**3 + 6 - 60*r**3. -107*r**3 Collect the terms in -454*r**2 + 75954699898*r + r**3 - 75954699898*r. r**3 - 454*r**2 Collect the terms in -1147*k - 249*k + 22 - 8 - 12. -1396*k + 2 Collect the terms in -547 - 1130 - 549 + 2725 + 2*t**2 - 499. 2*t**2 Collect the terms in -32884*q**2 + 32886*q**2 - 203 + 13. 2*q**2 - 190 Collect the terms in 17503*v**3 - 35260*v**3 + 17870*v**3. 113*v**3 Collect the terms in 28446*m - 7362*m - 21145*m. -61*m Collect the terms in 5040 - 4*s + s**2 + 6*s**3 - s**2 + 4*s. 6*s**3 + 5040 Collect the terms in -17*v - 10*v**2 - 41*v + 9 - 22 + 80*v + 13. -10*v**2 + 22*v Collect the terms in 3280 + 3277 - 9789 + 348*j**2 + 2*j + 3232. 348*j**2 + 2*j Collect the terms in -8*b**3 + 5546878909171*b**2 - 5546878909171*b**2. -8*b**3 Collect the terms in -313*n**2 + 211*n**2 + 2*n + 189*n**2 - n - 85*n**2 - n. 2*n**2 Collect the terms in -22960 + 68882 - 22961 + 5*q**3 + 3*q - 111*q**2 + 111*q**2 - 22961. 5*q**3 + 3*q Collect the terms in 1 + 195*f**3 + 100477*f**2 + 1 - 100476*f**2. 195*f**3 + f**2 + 2 Collect the terms in -468967 + 468967 - 2423*c. -2423*c Collect the terms in t**3
{ "pile_set_name": "DM Mathematics" }
x = 5*x - 5*f - 16, 5*x - 20 = -2*f. Let v = 6 - 43/7. Let t = 2/19 + 9/95. Which is the nearest to x? (a) 4 (b) v (c) t a Let o = -6 - -11. Suppose 4*n = 5*n - 2. What is the nearest to 0 in n, o, 3? n Suppose 3 = 3*d - 51. Suppose -5*r - 3 + d = 0. Let w = -3 - -3.5. Which is the closest to 1? (a) r (b) w (c) -1/2 b Suppose -5*r = -7*q + 2*q + 25, 5*q - 20 = 0. Which is the closest to r? (a) -1/8 (b) 0.2 (c) -1 c Let o = 2/9 + -5/9. What is the closest to 0 in o, -12, -1? o Let t = -11 - -7. Let z = -3.9 - t. Let q be (0 + 3)/(18/(-12)). Which is the closest to z? (a) -5/2 (b) q (c) 4 b Let m = -0.53 + 0.13. Suppose -3*v = 5*f - 27, 3 - 15 = -4*f. Let z be 2/v + 1/2. Which is the closest to z? (a) 5 (b) 4 (c) m c Let b = 17 + -11.5. Let c = -5 + b. Let o be 1/(-2) + 1/3. What is the closest to 1 in c, o, -0.1? c Let y = 0.32 - 0.02. Let s = y - 0.2. What is the nearest to s in -0.2, 0, -0.3? 0 Let k = -0.14 + -1.86. Let u = k + -2. What is the closest to 2 in -0.1, u, 0.3? 0.3 Let x = -17 - -15. Let g = -4 - x. Which is the nearest to 1? (a) -9 (b) 1/4 (c) g b Let x = -178 - -887/5. Which is the nearest to 1/4? (a) x (b) -4 (c) 0 c Let c be (-3)/8 - 7/(-56). Let w = 2 + -2.3. What is the closest to c in -0.4, w, -4? w Let v = -12 + 17. What is the nearest to 3 in 0.5, v, 3/4? v Let k = -0.22 - 4.78. What is the closest to 1 in 4/3, k, 5? 4/3 Let o = 0.7 - -1.3. Let i = o + -2. Let r = -0.1 - i. Which is the nearest to r? (a) -5 (b) -4 (c) -2/7 c Let u(f) = -2*f - 5. Let v be u(-4). What is the closest to -2/9 in v, -2/9, 2? -2/9 Let i = 3 + -8. Let a be (-3)/(-5) - 17/i. Suppose a*u = 6*u. What is the closest to 0.1 in u, 0.4, 1? u Suppose 0*w = -w - 3. Let i = 0.07 + 14.93. Let j = i + -15. Which is the nearest to j? (a) -1/11 (b) w (c) 0 c Let v = 0.9 - 1.3. Let l = 4 + -3.6. What is the closest to -1/3 in 0.5, v, l? v Let g = 4.2 - 4. Which is the nearest to -3? (a) 1 (b) g (c) 1/3 b Suppose 0*v - 8 = 4*v. Let g(k) = -k**2 + 1. Let o be g(v). Which is the closest to 1? (a) -5/4 (b) o (c) -0.4 c Let u = 14 + -8.3. Let j = u - 6. Let f = 2 + 3. What is the nearest to j in -2, f, 3? -2 Let n be 0*(1 - -2)/3. Let j = 17 + -13. Which is the closest to n? (a) -1/4 (b) j (c) 2/7 a Let y be (-1)/3*18/(-9). Let q(k) = k + 6. Let t be q(-6). Which is the closest to t? (a) y (b) -5 (c) 4 a Let c be 4/(-10) + 19/35. Let i(n) = -n - 4. Let w(t) = -t**3 + 7*t**2 - 8. Let u be w(7). Let m be i(u). What is the nearest to 0.1 in 0, c, m? c Let w = 1982/5 - 397. Let x = -93/7 + 13. Which is the closest to 2? (a) 5 (b) x (c) w b Let f = -0.4 - -0.3. Let w be (0 - 1)/((-2)/22). Suppose w + 9 = -5*i. What is the nearest to f in -1/11, i, 3? -1/11 Let m = 27 - 22. Let f = 6 + -8. What is the nearest to -1 in 0.3, f, m? f Let i = -733/5610 + -1/374. Which is the nearest to i? (a) 5 (b) 1 (c) 0.4 c Suppose 8 = -3*z + 20. What is the nearest to 0 in z, -1/4, -1/6? -1/6 Let m = -6.6 - -32.6. Let l = -25 + m. Let g = 2.1 + -2. Which is the nearest to g? (a) l (b) -2 (c) -0.3 c Suppose 5*n - n - 8 = -3*g, 2*n = 4*g + 4. Let t be ((-2)/(-4))/(5/(-10)). Let w be 3*(-3)/15*t. Which is the closest to g? (a) w (b) 5 (c) -2/3 a Let h = -0.6 - 0.4. Let d = 0.9 + h. Let o = -5.8 + 0.8. Which is the closest to 1? (a) d (b) o (c) -0.2 a Let z = -29 - -30.7. Let g = z + 0.3. Which is the closest to 0.2? (a) 4 (b) -4 (c) g c Let q = 151 - 146. Let h be (-12)/3 + (0 - 0). Which is the closest to q? (a) -3 (b) 2 (c) h b Let b = 506 + -505. Let l be 6/16 + (0 - 0). What is the nearest to -2 in b, l, 4/5? l Let x = 5.05 + -0.05. Let d = 1 + x. Let o = 6.1 - d. What is the closest to -2/3 in -2, 0.3, o? o Let b = 2.8 + 1.2. Let c be (-1)/1 - (-34)/30. What is the closest to 0 in b, c, 5? c Let w(p) = 2*p - 5. Let s be w(4). Let j be s/(-1) - 34/(-10). Which is the nearest to -0.4? (a) -0.2 (b) 0.1 (c) j a Let j = 116 - 1046/9. Let l = 0.04 + 0.36. What is the closest to 0 in j, l, -2? j Let f(u) = u**2 + 7*u - 5. Let g be f(-8). Let b = -3 + g. Let a = -2.01 + 0.01. What is the closest to 2 in a, b, 4/9? 4/9 Let r be (-2 - -1) + 6/3. Suppose 0 = -3*t + 10 - 1. Which is the nearest to 0? (a) r (b) t (c) -5 a Let x = -11/3 + 61/15. Which is the closest to x? (a) -1/7 (b) -0.5 (c) -5 a Let k = -0.978 + -0.022. What is the nearest to k in -0.1, 2, 4/7? -0.1 Let v = -940/7 + 134. Let y = -32 - -32.4. Let w be 4/10*(-20)/6. Which is the closest to v? (a) w (b) -0.5 (c) y b Let d be 893/(-646) - 3/(-2). Which is the nearest to 2? (a) 3 (b) 2 (c) d b Let h be ((-2)/(-8))/((-2)/(-2)). Let w = 11 + -35. Let t = -97/4 - w. What is the nearest to 0.1 in -2, h, t? h Let z(t) = t**3 - 3*t**2 + 2*t - 2. Let v be z(2). Let x = v + 4. Suppose 5*f + 2*c = 30, -f + x*f + 4*c = 24. What is the nearest to -1/3 in f, -0.2, 2? -0.2 Suppose -2*i = i + m - 1, 0 = i + 5*m - 5. Let x be (-6)/14 + i/1. Which is the closest to 0.1? (a) -0.1 (b) x (c) -2 a Let h = 55.1 + -55. Which is the closest to h? (a) -2 (b) 2 (c) -3 b Suppose c + 14 = -4*j, 3*j + 3*c - 2 = 2*j. Let i = 745/8 + -93. What is the nearest to -2/5 in i, -1, j? i Let d = 10.6 - 3.6. What is the nearest to d in 0.5, -1, -0.1? 0.5 Let k = -2.9 + 3. Let r = -0.032 + -1.968. Which is the nearest to -0.1? (a) k (b) -0.4 (c) r a Let f = 24 - 35. Let s = 5 + f. Which is the nearest to s? (a) -1/5 (b) 1 (c) -1 c Let k(j) = 2*j**2 + 32*j + 31. Let u be k(-15). What is the nearest to 0 in -0.1, u, 3? -0.1 Suppose -4*o - 3*k = 4, -o + 2*k + 10 = -0. Let p be o/(-8) - 30/(-56). Let v = -60 - -61. What is the nearest to v in 1, p, -0.4? 1 Let z = 13/48 + -1/48. Which is the nearest to 2/11? (a) -1 (b) z (c) -0.4 b Let c = -1.2 - -0.2. What is the closest to c in 2/21, 0.5, 4? 2/21 Let y be 11/(-4) + 2/1. Let j(d) = d - 6. Let z be j(4). What is the closest to z in 0.1, -1/6, y? y Suppose 0 = -10*a + 14 + 6. What is the closest to -1/2 in -5, a, 5? a Let u = -2.9 + 3. What is the closest to -4/5 in 2/17, -1, u? -1 Let u = -1 + 1.5. Suppose d - 12 = -2*h, -3*h + 0*h + 9 = -3*d. Suppose 0 = 4*t - t + 12. What is the closest to 2 in h, u, t? u Suppose u + 4*q = -14, -6 = -3*q - 15. Which is the nearest to 0.1? (a) u (b) -1/2 (c) -2/9 c Let b = -18.8 + 19. Suppose 7*a + 25 = 2*a. What is the closest to b in a, -3, -2/7? -2/7 Let d be 0/((-5)/((-5)/(-2))). Suppose d*z = -5*z + 20. What is the nearest to 0.2 in z, 3/4, -0.5? 3/4 Let f be (52/(-8) - -4)*(0 - -2). Let x = 0.2 + -0.1. Let r = -0.3 - -1.3. Which is the nearest to r? (a) f (b) 0.3 (c) x b Let l be 4 + ((-80)/28 - 1). Which is the closest to 0.2? (a) 5 (b) -3 (c) l c Let v = -3 + 4. Let d = 4 + -5. Which is the nearest to d? (a) 1/4 (b) v (c) 0.2 c Suppose -1 = 3*k - 10. Let l = 3 - 2.99. Let p = l - 0.01. Which is the closest to p? (a) 0.5 (b) 0 (c) k b Let a = 3.821 - -0.179. What is the closest to -2/7 in 3/8, 1, a? 3/8 Let d = -26 - -28. Let z = 1 + -1.2. Let n = -0.2 - -0.4. What is the closest to -0.01 in n, z, d? z Let t(y) = y**3 - 6*y**2 + 5*y + 3. Let g be t(5). Suppose -3*l - 31 = q + g*q, -2*l + 5*q = -10. What is the nearest to 2 in 3, l, 5? 3 Let p = 128 - 129. Suppose 15 = 2*j - 0*j + d, -2*d = 5*j - 35. Which is the closest to -0.1? (a) 0.1 (b) j (c) p a Let t(s) = s**3 + 5*s**2 + 4*s. Suppose 5*k + 11 + 4 = 0. Let i be t(k). Let h be 8/i*3/2. Which is the closest to 0.2? (a) -4/5 (b) h (c) 4/7 c Let w = -2/387 - -1165/774. What is the closest to 0.1 in w, -2, -4? w Let q = 46 - 32. Let y = q - 12. Which is the closest to 0? (a) -1 (b) y (c) -3 a Let y = 29 + -30. Which is the nearest to y? (a) 0 (b) 1 (c) 2/7 a Let v = -59 + 74. What is the nearest to v in -4, 0, -1? 0 Let c(x) = -x**2 + 5*x - 2. Let l be c(6). Let f be (-2)/(-3)*(-4)/l. What is the closest to f in -5, 4/7, 2/3? 4/7 Let l = 157 + -328. Let s be (-321)/l*-1 - -2. Let a = -4/19 - s. What is the closest to 1/3 in -5, -1/2, a? a Let p = 3.1 + -10.2. Let j = p + 7. What is the closest to j in -1/5, 2/19, -4? -1/5 Let p be (-18)/(-20)*(-4)/6. Let i = 6.12 + -0.12. Let y = -5.8 + i. Which is the closest to 1? (a) 0 (b) p (c) y c Let k = 4 - 9. Let t = 10 + k. Suppose -2*p = t*z - 14, -2*p + 0*z = -2*z. W
{ "pile_set_name": "DM Mathematics" }
348 a multiple of 108? True Is 61 a factor of 107493? False Is 20828 a multiple of 59? False Is 36920 a multiple of 710? True Does 5 divide 1522077? False Is 343464 a multiple of 264? True Does 768 divide 291840? True Is 2698928 a multiple of 592? True Does 14 divide 1738130? False Is 40 a factor of 601183? False Is 51 a factor of 1514139? True Is 94 a factor of 131737? False Is 20 a factor of 607220? True Does 223 divide 105824? False Is 86758 a multiple of 43? False Is 24 a factor of 229200? True Is 602588 a multiple of 14? True Is 284 a factor of 14116788? True Does 318 divide 3812895? False Is 363 a factor of 2715603? True Is 77464 a multiple of 421? True Does 84 divide 126941? False Is 107 a factor of 130540? True Is 31 a factor of 21917? True Is 8 a factor of 919071? False Does 151 divide 1031330? True Is 1015092 a multiple of 324? True Is 104 a factor of 34320? True Does 101 divide 301586? True Does 535 divide 315342? False Is 2889460 a multiple of 2? True Is 99 a factor of 68712? False Is 3 a factor of 20704? False Is 75 a factor of 42396? False Is 257 a factor of 3452811? False Does 8 divide 22056? True Is 2248940 a multiple of 163? False Is 140 a factor of 558740? True Is 36 a factor of 1070905? False Is 9 a factor of 33203? False Is 9 a factor of 14552? False Does 14 divide 170757? False Is 9066 a multiple of 65? False Does 60 divide 73030? False Does 14 divide 21756? True Does 10 divide 334421? False Is 3345734 a multiple of 706? True Is 53 a factor of 351602? True Does 591 divide 3025920? True Is 815947 a multiple of 4? False Does 152 divide 126008? True Does 443 divide 2599060? False Is 321 a factor of 71926? False Is 32 a factor of 1180423? False Does 4 divide 111352? True Is 785904 a multiple of 195? False Is 425249 a multiple of 9? False Is 409920 a multiple of 4? True Is 26011 a multiple of 37? True Does 31 divide 257796? True Is 23895352 a multiple of 194? False Is 93 a factor of 191673? True Does 36 divide 7010924? False Is 156 a factor of 2219724? True Does 22 divide 2992927? False Is 155 a factor of 469011? False Does 162 divide 11154996? True Is 559311 a multiple of 138? False Does 8 divide 2199995? False Is 3 a factor of 3107199? True Is 13 a factor of 8833071? True Is 18 a factor of 615515? False Does 63 divide 199729? False Is 37 a factor of 42550? True Is 1826650 a multiple of 85? True Does 40 divide 1591400? True Is 199 a factor of 78507? False Does 501 divide 14892726? True Is 103 a factor of 10668946? True Is 183 a factor of 250419? False Is 46214 a multiple of 58? False Is 15925 a multiple of 13? True Is 50 a factor of 122251? False Is 109906 a multiple of 41? False Does 404 divide 607604? False Does 84 divide 166978? False Is 536939 a multiple of 13? True Does 9 divide 1325313? True Is 10 a factor of 9880? True Is 1782514 a multiple of 146? True Is 120708 a multiple of 383? False Is 1777738 a multiple of 18? False Is 49620 a multiple of 6? True Is 11 a factor of 691823? True Does 2 divide 2304178? True Does 257 divide 3326556? False Is 267530 a multiple of 155? True Is 43 a factor of 129807? False Is 235 a factor of 2260871? False Is 40711 a multiple of 11? True Does 14 divide 23827174? True Does 68 divide 218348? True Does 289 divide 10944815? False Is 48416 a multiple of 178? True Is 2641320 a multiple of 115? True Does 116 divide 6854552? False Is 34 a factor of 1461503? False Does 18 divide 1087485? False Is 4292877 a multiple of 13? False Is 150 a factor of 11458793? False Is 29 a factor of 360919? False Is 91 a factor of 4616885? True Does 74 divide 7123798? False Does 34 divide 44952? False Does 12 divide 5790? False Is 42 a factor of 157080? True Is 479 a factor of 99346? False Is 1302258 a multiple of 20? False Does 47 divide 30362? True Is 34 a factor of 597091? False Is 17551056 a multiple of 8? True Does 22 divide 26833? False Is 3 a factor of 657924? True Is 112 a factor of 46480? True Is 136 a factor of 43112? True Is 419 a factor of 41481? True Is 324870 a multiple of 7? True Is 485 a factor of 12608060? True Does 27 divide 1052826? False Is 285 a factor of 146205? True Does 7 divide 35493? False Is 4 a factor of 12262? False Does 82 divide 3082416? False Does 298 divide 960752? True Is 71 a factor of 95424? True Does 107 divide 26620637? True Does 2 divide 450563? False Does 114 divide 72937? False Does 104 divide 1863888? True Is 367 a factor of 185226? False Does 60 divide 435302? False Does 9 divide 9117? True Is 25715 a multiple of 3? False Is 5244230 a multiple of 876? False Is 320 a factor of 127360? True Is 351 a factor of 92313? True Is 99130 a multiple of 20? False Is 416 a factor of 68712? False Is 109 a factor of 230317? True Is 18 a factor of 26076? False Is 199452 a multiple of 22? True Is 1095660 a multiple of 30? True Does 1673 divide 11295165? False Is 162978 a multiple of 46? True Does 101 divide 839395? False Is 729800 a multiple of 41? True Is 12549016 a multiple of 19? False Is 4981868 a multiple of 59? False Is 102705 a multiple of 150? False Does 31 divide 92243? False Is 91400 a multiple of 8? True Is 6065282 a multiple of 530? False Is 12 a factor of 9843156? True Does 1905 divide 7090410? True Is 35 a factor of 5965470? True Is 14142576 a multiple of 147? True Is 3 a factor of 11841? True Is 875765 a multiple of 221? False Is 151770 a multiple of 30? True Is 322541 a multiple of 17? True Is 10678 a multiple of 228? False Is 107185 a multiple of 221? True Is 14 a factor of 627326? True Is 108116 a multiple of 3? False Is 26 a factor of 224458? True Does 53 divide 71669? False Does 127 divide 175489? False Does 32 divide 826528? True Is 64 a factor of 168848? False Is 142467 a multiple of 281? True Is 89 a factor of 6894029? True Is 139 a factor of 118567? True Does 19 divide 150499? True Is 2 a factor of 1000? True Is 2472470 a multiple of 130? True Is 53494 a multiple of 172? False Is 13 a factor of 4453436? True Is 2136289 a multiple of 14? False Does 88 divide 370656? True Is 326 a factor of 14394204? True Is 318300 a multiple of 100? True Is 814 a factor of 18247473? False Is 1202850 a multiple of 810? True Is 142413 a multiple of 37? True Does 137 divide 224132? True Does 665 divide 6722641? False Does 65 divide 4801925? False Does 742 divide 1356376? True Is 34 a factor of 160616? True Is 1713432 a multiple of 12? True Is 481399 even? False Is 849877 a multiple of 56? False Is 4764953 a multiple of 16? False Does 148 divide 727720? False Does 50 divide 176050? True Is 2 a factor of 207455? False Is 2518934 a multiple of 20? False Does 283 divide 646655? True Is 115245 a multiple of 15? True Is 6 a factor of 4588482? True Is 2178 a multiple of 363? True Is 60982 a multiple of 3? False Is 28 a factor of 52619? False Does 22 divide 348982? False Is 30002 a multiple of 26? False Does 82 divide 11558720? True Does 888 divide 647352? True Is 2333925 a multiple of 1035? True Is 47 a factor of 264657? True Is 906559 a multiple of 64? False Is 388215 a multiple of 10? False Is 218 a factor of 127353? False Does 850 divide 1526338? False Is 3749 a multiple of 23? True Does 2 divide 3508? True Is 1410632 a multiple of 4? True Is 44 a factor of 124472? False Is 2593932 a multiple of 51? False Is 412846 a multiple of 14? True Does 251 divide 87923? False Is 27842 even? True Is 1524930 a multiple of 10? True Is 625 a factor of 393125? True Is 37095 a multiple of 127? False Does 231 divide 1140216? True Does 4 divide 30135? False Is 60 a factor of 1465831? False Does 31 divide 45759? False Is 155 a factor of 284580? True Is 66458 a multiple of 164? False Does 92 divide 89516? True Does 498 divide 229578? True Does 33 divide 1047108? False Is 105 a factor of 211053? False Is 156893 a multiple of 35? False Is 1446602 a multiple of 53? False Is 48424 a multiple of 3? False Is 26 a factor of 604691? False Does 16 divide 1649571? False Does 28 divide 323347? False Is 3777986 a multiple of 265? False Does 7 divide 56091? True Is 10 a factor of 2907328? False Does 37 divide 157065? True Is 19897238 a multiple of 13? False Does 4 divide 132736? True Does 110 divide 1169960? True Does 84 divide 2165184? True Is 3240081 a multiple of 27? True Is 343354 a multiple of 122? False Is 185138
{ "pile_set_name": "DM Mathematics" }
the common denominator of g and 29/7. 63 Suppose -364 = -5*v - 34. Suppose 71 = d + 3*y, -4*d = -3*d + 2*y - v. Let x = d - 38. Calculate the smallest common multiple of x and 14. 126 Let i be (-2)/(-3) + (-16)/(-3). Calculate the least common multiple of 27/i + (-3)/6 and 6. 12 Suppose z + 104 = 3*z. What is the lowest common multiple of 8 and (-2)/5 - z/(-5)? 40 What is the common denominator of 12/(-30)*-53*(-5)/(-6) and 8/27? 27 Let x = 536 + -797. Let a = x + 2597/10. What is the common denominator of 1/9 and a? 90 Calculate the common denominator of 143/36 and ((-2)/240)/((-13)/2938). 180 Suppose -4*w - v + 21 = -42, 0 = -3*w + 5*v + 53. Suppose -6*j + 4*j + w = 0. What is the smallest common multiple of j and 3? 24 Calculate the common denominator of -36/7 and (-10)/(-5) - (-6)/(-8). 28 What is the smallest common multiple of 3*8/(-108) - (-128)/9 and 4? 28 Let q = 36659/6 - 6126. Find the common denominator of -1/18 and q. 18 Let g = -1/4429 + -252445/35432. Calculate the common denominator of g and 69/70. 280 Let x be (0 - -2) + -4 + 4. Let l = 4 - 3. What is the common denominator of l/x + 75/(-8) and -17/32? 32 Let x = 1 - 2. Let p(a) = -10*a**3 - a**2 + 1. Calculate the lowest common multiple of p(x) and 22. 110 What is the common denominator of 85/222 and 10/12*56/12? 666 Let a be 4/3*171/6. What is the lowest common multiple of 399/a*2/3 and 5? 35 What is the common denominator of 248/63 + (-12)/54 and 97/8? 56 Let l = 9/50 + 939/200. Let i = -2/12487 - -1785653/74922. What is the common denominator of l and i? 24 Let x = -21 - -24. Let h(b) = -2*b - 1. Calculate the least common multiple of h(-4) and x. 21 Suppose 150 = 7*q + 24. Let m = -18 + 38. What is the smallest common multiple of m and q? 180 Suppose -4*t - 24 = -8*t. Calculate the least common multiple of 2 and t. 6 Suppose 1 + 44 = 3*k. Let t = k + -3. Calculate the smallest common multiple of 4/6 + (-40)/(-3) and t. 84 Suppose 4*t = 3*k + 12, 7 = 3*t + k - 2. Suppose -3*c - 1 = 2*f - 0*c, 0 = 4*f + 5*c + 1. Calculate the smallest common multiple of t and f. 3 Let y be (-19)/(-4) - (-2)/8. Suppose -y = -q + 1. Suppose 34 = 4*i - 5*a, 3*a + 5 + 19 = 3*i. What is the lowest common multiple of i and q? 6 Suppose -2*y = 2*y - 8. Calculate the lowest common multiple of 1 and y. 2 Let v(r) = -r**3 - r**2 + 2. Let z be v(-2). Suppose -14 = -4*q + z. Suppose 2*l + 3*l = q. What is the least common multiple of 1 and l? 1 Let g(b) = b**3 + 5*b**2 - 9*b - 4. Let l(i) = -6*i - 8. What is the smallest common multiple of l(-2) and g(-6)? 28 Suppose 2*p = 5*s + 31, 0 = 5*p - 4*s + 5*s - 10. Suppose -4*l = h - 71, l + 3*h - 69 = -p*l. Calculate the smallest common multiple of 18 and l. 18 Let q = -42367/8800 + -3/800. Let f = -11556/7 - -30426962/18431. Let r = f + 73718/7899. Calculate the common denominator of q and r. 33 Let n = -45717/8 + 5724. Find the common denominator of (-23)/(-16)*-2 + -1 and n. 8 Let m be (-3 - 1)/(-1*2). What is the lowest common multiple of 2/(-8) - 58/(-8) and 6 - (0 + 0 - m)? 56 Suppose -3*d = d - 52. Let a(o) = o**2 - 11*o - 19. Calculate the least common multiple of a(d) and 2. 14 Let n be 3/(-3) + 37/(-28). Let h = -23/21 + n. Calculate the common denominator of 37/16 and h. 48 Let u(l) = l**3 - 6*l**2 + 3. Let s(p) = 5*p**3 - p. Let n be s(-1). Let o(v) = -2*v + 3. What is the smallest common multiple of u(6) and o(n)? 33 Suppose 0 = -5*l + 71 - 11. What is the smallest common multiple of l and 27? 108 Suppose 5*r - 10 = 0, 2*u - 146 = 5*r + 50. Let j = 929/9 - u. What is the common denominator of j and -16/5? 45 Let z = 3 - -2. Suppose m - 195 = 5*j - m, 0 = -z*m. Find the common denominator of -3 - 1/16*j and -17/22. 176 Suppose r + 37 = -4*n - 28, 5*n + 216 = -4*r. Let c be r/((-1)/(-1) - 0). Calculate the common denominator of -107/10 and (-2)/(-3) + c/(-48). 80 Let b = 136954/25 - 5477. Find the common denominator of -115/6 and b. 150 Let j(l) = -8*l**3 - 3*l**2 + 4*l + 10. What is the smallest common multiple of j(-2) and 3? 54 Suppose 4*l = -y - 2*y - 293, 3*l = 2*y - 224. What is the common denominator of -45/14 and l/10*(-20)/(-24)? 42 Let m = -24 + 34. Suppose -3*n - x = x - 14, -3*n = 3*x - 18. Calculate the smallest common multiple of 82/4 - 1/n and m. 20 Suppose 4*m = -0*m - 8. Find the common denominator of 698/140 - m/(-7) and 19/4. 20 Let p be (591/(-45))/((-44)/(-12)). Let l = p + 12/5. Find the common denominator of -43/5 and l. 55 Let f = -4 - -9. Let p = f - -1. Calculate the smallest common multiple of (24/20)/(p/40) and 18. 72 Suppose 6*l - 14 = 16. Calculate the lowest common multiple of 10 and l. 10 Suppose 0 = 3*u + 2 - 17, -5*h + 5 = -3*u. Let n(a) = -87*a + 267. Calculate the least common multiple of h/(-10) - 224/(-10) and n(3). 66 Let f be (16 - 3 - 2)*-109. Let g = 3547/3 + f. Calculate the common denominator of g and 40/(-6)*27/(-16). 12 Let h = 5005/306 - 330/17. Find the common denominator of h and -5/21. 126 Let g = 166529/18 - 9247. Find the common denominator of -35/22 and g. 198 Let k(w) = w**3 + 9*w**2 + 8*w + 2. Let n be k(-8). Let j = 1525/21 + -443/6. What is the common denominator of 7/(-6) - n - 2 and j? 42 Suppose 3*x = -2*w + w + 64, 2*x = -4*w + 36. What is the least common multiple of 4 and x? 44 Let o = 5160544889/879824260 + 866/330761. Let c = 162/133 - o. What is the common denominator of c and 27/4*(-3)/(126/(-12))? 140 Let u = 7 + -1. Suppose -3*b - 14 = -4*w - u*b, -b = -4*w + 22. Let z(s) = 5*s - 3. Calculate the least common multiple of z(2) and w. 35 What is the common denominator of 115/12 and 1 + (4 - 90/(-8))? 12 Suppose 0 = 12*i + 36 - 372. What is the least common multiple of 44 and i? 308 What is the common denominator of (10/18)/(5/(-195)) and 157/78? 78 Let g = -10 - -12. Suppose -t = -5*t + 4. What is the lowest common multiple of g and t? 2 Let q = 12 + -9. Find the common denominator of ((-11)/q)/(14/6) and (-366)/(-16)*(-4)/(-6). 28 Let m = 7 - 10. Calculate the smallest common multiple of (18/(-4))/(m/4) and 16. 48 Let k be (10/(-6))/((-70)/84). Suppose 2*f + 2 = -i, 0*f + 11 = 3*f - 2*i. Calculate the lowest common multiple of (0 - f/k)*-12 and 3. 6 Suppose -127 = -4*b + 101. Suppose -5*s - 2 = -b. What is the least common multiple of s and 3? 33 What is the common denominator of (-2)/(-3 + 1260/436) and 7/30? 30 Suppose -2*o + w + 14 = 2*o, -5*w + 2 = -2*o. Let v = o + -7. Let c = v + 5. What is the lowest common multiple of c and 16? 16 Let m = 12 - -8. Let g(i) be the first derivative of -i**2/2 - 7*i + 2. What is the lowest common multiple of g(-9) and m? 20 Let x(w) = -w**3 + 12*w**2 + 14*w - 11. What is the lowest common multiple of 3 and x(13)? 6 Suppose -7*x = -68 - 44. Calculate the smallest common multiple of x and 6. 48 Let o = -7737 + 154781/20. What is the common denominator of -79/12 and o? 60 Suppose -1 + 8 = -h. Let u(p) = -p - 17. Let y be u(h). Let j = y + 18. What is the smallest common multiple of j and 12? 24 Let h be ((-8)/(-12))/(2/108). Suppose v + 4*w - h = -4*v, -v = -w. What is the smallest common multiple of v and 8? 8 Let u = 2 - -3. Suppose -t = -1, -b - 27 = -u*b - 3*t. Calculate the smallest common multiple of b and 3. 6 Suppose -2*i - 3 + 20 = -3*m, 32 = 5*i - 4*m. Let t = i - 3. Let a(h) = 11*h**2 + 2*h - 1. What is the smallest common multiple of 16 and a(t)? 48 Let f(m) = 2 + 5*m - 7*m + 3*m. Let h = -18 - -25. Calculate the lowest common multiple of h and f(4). 42 Let u = -244/3 + 58. Calculate the common denominator of 3/22 and u. 66 Let h(s) = 2*s + 8. Let p be h(-7). Let o be p/4*32/(-3). Let b = 24 - o. Calculate the least common multiple of b and 10. 40 Suppose -380 + 3180 = -5*l. Find the common denominator of 24/10*l/(-63) and 29/2. 6 Calculate the common denominator of (-1658)/(-168) + (-4)/14 and 47/16. 48 Let x be 3*(-1)/1*-1. Suppose 2*i - 7 = x. What is the lowest common multiple of 5 and i? 5 Let o = -18976 + 303711/16. Find the common denominator of 2/(-2) + 3 + (-214)/(-12) and o. 48 Let s = -54 - -112. Suppose 3*k - s = -4*t, -4*k + 72 = -t + 5*t. Calculate the smallest common multiple of ((-3)/6)/((-1)/16) and k. 56 What is the common denominator of ((48/5)/3)/((-4)/(-14)) and -87/50? 50 Calculate the common denominator o
{ "pile_set_name": "DM Mathematics" }
-366014.85 - 3729.15. Let j = o - -369744.2999984. Let b = -0.3 + j. Round b to 6 dps. -0.000002 Let x = -53 - -90. Let w = -16 - x. Let a = -54.17 - w. Round a to 1 dp. -1.2 Let u = -7.1784 - -7.1. Let l = 2.92 + -3. Let t = u - l. Round t to three decimal places. 0.002 Let r = 10.982 - 5.62. Let n = 8.279 - r. Let z = -3 + n. What is z rounded to two decimal places? -0.08 Let u = 1.9 - 1.2. Round u to one dp. 0.7 Let s = -53.4 + 46. Let y = s + -1. What is y rounded to the nearest integer? -8 Let d = 0.03 + 2.97. Let m = d + -3.0000002. What is m rounded to six dps? 0 Let g(q) = q**3 - 2*q**2 - 2*q + 3. Let m be g(2). Let r = m - 6. Let j(f) = 23*f**3 + 2*f**2 + 2*f + 5. Let a be j(r). Round a to the nearest one thousand. -8000 Suppose 6*z - 3*d + 2669985 = z, 0 = z + 3*d + 534015. What is z rounded to the nearest 100000? -500000 Let t(r) = 4*r**2 + 17*r - 1. Let l be t(-13). Suppose -c - 2*d = l, -5*d - 1360 = 2*c + c. Round c to the nearest 100. -500 Let u = -0.07 - -14.07. Let v = u + -13.9965. What is v rounded to 3 decimal places? 0.004 Let q = -28 + 16. Let w = q - -12.0000024. What is w rounded to six dps? 0.000002 Let z = 4 + -3.9749. What is z rounded to three decimal places? 0.025 Let l = 0.08 - 3.08. Let c = l - -2.999986. What is c rounded to six dps? -0.000014 Let g = 2.8 + -38.8. Let y = g + 35.99918. Round y to 4 decimal places. -0.0008 Let g = -1.1 - -1.099982. What is g rounded to five dps? -0.00002 Let q = -52 + 91. Let c = q + -39.27. Let x = 0.27019 + c. What is x rounded to four dps? 0.0002 Let c = -23 + 22.2. Round c to 1 decimal place. -0.8 Let v = 10 - 9. Let y be (-2)/v - 1*-2. Round y to three dps. 0 Suppose 5*r = 2*h - 744, -4*h - 3*r + 1444 = -2*r. What is h rounded to the nearest ten? 360 Let k = 0.078 + 39.922. Let t = 39.9981 - k. Let n = t + -0.001. Round n to 3 dps. -0.003 Let y = -22.001 + 0.001. Let v = 0 + y. Let p = v + 22.000046. Round p to five decimal places. 0.00005 Let i = -1.51 + 0.01. Let d = -1.5000115 - i. What is d rounded to 6 dps? -0.000012 Let q = 3.6065 + -3.6. Round q to three decimal places. 0.007 Let d = 42 - 33. Let i(b) be the first derivative of 100*b**3/3 - b**2/2 + 9*b + 1. Let z be i(d). Round z to the nearest 1000. 8000 Let f = 3715 - 1515. What is f rounded to the nearest 1000? 2000 Let m = -56708515285998 + 56708541865493.499917. Let c = m - 26579509. Let a = -13.5 - c. What is a rounded to 5 decimal places? 0.00008 Let b = 76 + -118. Let r = 13 + b. Let k = 28.52 + r. Round k to one dp. -0.5 Let v(h) = 18*h**2 + 32*h - 50. Let p be v(25). What is p rounded to the nearest 10000? 10000 Let x = 231.4 - 427.7. Let t = -208 - x. Round t to the nearest integer. -12 Suppose -c = 3*c + 500. Let y = c - -25. Let l be y/(-3)*10*33. What is l rounded to the nearest 10000? 10000 Let x = -0.008722 + 1.008702. Let m = -1 + x. What is m rounded to 5 decimal places? -0.00002 Let m be 15 - 2/4*-2. Suppose m = 5*o + 6. Suppose -5*g = -b + 4700000, -o*g - 3*b = 954732 + 925268. Round g to the nearest one hundred thousand. -900000 Let b = -154 - 18. Let a = b - -172.71. Round a to 1 decimal place. 0.7 Let r = -23 + 24. Suppose 4*j + 3 = -r, 4*c + 27595 = 5*j. What is c rounded to the nearest 1000? -7000 Let h(f) = 1322*f + 10. Let k be h(-5). Round k to the nearest one thousand. -7000 Let f = -199 - -108.4. Let d = -101 - f. Let a = d - -10.39923. What is a rounded to four dps? -0.0008 Let r(d) = -10196*d - 20. Let k be r(5). Round k to the nearest 10000. -50000 Let q = 0.001200421 + -0.0012. Round q to 7 dps. 0.0000004 Let n(h) = -h**2 + h - 9500. Let u be n(0). What is u rounded to the nearest one thousand? -10000 Let b = 3.82 + -3.9095. Round b to 2 decimal places. -0.09 Suppose -2*x = 2*x + 20. What is x rounded to the nearest integer? -5 Let x = -0.134 - -0.13341. Round x to four dps. -0.0006 Let q = -4441 + 4459.87. Let x = q + -18.9493. Let d = 0.08 + x. Round d to 3 decimal places. 0.001 Suppose -67556 - 153686 = -2*u. Suppose -k + 14006 = -3*h, h + u - 40619 = 5*k. Round k to the nearest ten thousand. 10000 Let q = 70 + -88.5. Let d = q + 0.5. Let x = d + 18.0128. Round x to 3 decimal places. 0.013 Suppose -d - 2*r = -9899992, 4*d - 3*r - 51361165 + 11761153 = 0. What is d rounded to the nearest 1000000? 10000000 Let t = -4 - -4.1. Let p = 0.036232 - -0.0638. Let i = t - p. Round i to 5 dps. -0.00003 Let x be -1*2*(-2 + 1). Suppose 6*z = x*z - 1920000. Round z to the nearest one hundred thousand. -500000 Let g = 20.3 - 37.6. Round g to zero decimal places. -17 Let m(o) be the second derivative of 3755*o**4/6 + o**3/3 + o**2 + o. Let n be m(-2). Suppose -12762 = -4*q + n. What is q rounded to the nearest one thousand? 11000 Let r = 4200963558268.500081 - 4200958108894. Let p = r + -5449371. Let l = -3.5 + p. Round l to 5 dps. 0.00008 Let c = -101.55 - -33.02. Let a = 72.1 + c. What is a rounded to 1 dp? 3.6 Let v = -138 - -138.011. What is v rounded to 3 dps? 0.011 Let b(i) = i**3 + 6*i**2 + 3*i - 2. Let a be b(-3). Let r be a/6 + 1/3. Let g be -12240*(-2 - (-131)/r). What is g rounded to the nearest one hundred thousand? -500000 Let v = 0.034 + 3.266. What is v rounded to 0 dps? 3 Let u(r) = 3*r**3 + 4*r**2 - 5*r + 3. Let p be u(-4). Let l be 7/(p/6)*1325. Round l to the nearest one hundred. -500 Suppose 2*i = -5*a + 15 + 8, 2*a - 3*i + 6 = 0. Suppose 4*o - 4*n - 100012 = -0*n, a*o + 5*n = 74985. Round o to the nearest 10000. 30000 Let c(p) = -81433*p + 31. Let b be c(7). Round b to the nearest 100000. -600000 Suppose -480644 = -2*s + 92182. Suppose -b + s = 956413. What is b rounded to the nearest 100000? -700000 Let h = -1 - -3. Suppose -h*g + 8 = -4*m, -2*g - 2 = -3*m - 8. Suppose g = -0*q - 2*q + 110. Round q to the nearest ten. 60 Let h = -349 - -348.999999052. Round h to seven dps. -0.0000009 Let n = -14 + 16.16. Let z = 1.2 - n. What is z rounded to 1 dp? -1 Let o(f) = -f. Let p be o(-5). Suppose -3*b - 5*g = -1289 + 286, g = -p*b + 1701. Suppose -b = -h + 49. What is h rounded to the nearest 100? 400 Let o = 32 + -5. Let b be (4 + -1 - 1) + 16. Let n be (-4)/b + 48606/o. Round n to the nearest 1000. 2000 Let v = 0.0238 - -0.033. What is v rounded to 2 decimal places? 0.06 Let q = -1.844747 - 0.355311. Let m = q + 2.2. What is m rounded to five decimal places? -0.00006 Suppose 2*f = -3*x + 10, -3*x + 5*x = -4*f - 4. Let c(y) = -17460*y**2 - 3 - 2 - x*y - 6141*y**2 + 0. Let p be c(-5). Round p to the nearest 100000. -600000 Suppose 3*p - 11 = -2. Round p to the nearest ten. 0 Let u = 0.0355 - 0.8965. Let j = -46.959 + 47. Let f = j + u. What is f rounded to 1 decimal place? -0.8 Let s = -45 + 45.00000042. Round s to 7 dps. 0.0000004 Let a = 4 + -4. Let q = -4.3 + a. Let s = -4.29999892 - q. Round s to 7 dps. 0.0000011 Let z = 71 - 71.00375. What is z rounded to 3 dps? -0.004 Let y(j) be the third derivative of -1/12*j**4 + 1/3*j**3 + 0*j + 0 - 4/15*j**5 - j**2. Let l be y(2). Round l to the nearest ten. -70 Suppose -2*v = -5*v. Suppose j - 32159 + 612159 = v. What is j rounded to the nearest 100000? -600000 Suppose 0*p = 5*m + p + 996, 788 = -4*m - 3*p. What is m rounded to the nearest one hundred? -200 Suppose 0 = 4*i - 35 + 11. Let m(b) = -8*b**2 + b + 2. Let p be m(i). What is p rounded to the nearest one hundred? -300 Suppose -u - 3199996 = -2*v, -5*v + 7036681 = 3*u - 963331. What is v rounded to the nearest 1000000? 2000000 Let g = -6.3 - -6. Let u = 1 - 1.2. Let h = g - u. What is h rounded to 0 dps? 0 Let s = -0.72 - -0.667. Let p = -0.11222 - -0.05943. Let q = p - s. Round q to 4 decimal places. 0.0002 Suppose u - 2*u - 54 = 0. Let h be u*(64/4 + 4). What is h rounded to the nearest 100? -1100 Let x = 0.62999 - 0.625. What is x rounded to three dps? 0.005 Let r = 77.98 + -79. Round r to one decimal place. -1 Suppose 0 = 5*r - 5*k + k - 171, -2*k = r - 23. Let u = r + -18. Let z be 2 - 3 - u*2923. What is z rounded to the nearest 10000? -40000 Let u = 0.047 + -0.203. What is u rounded to 2 decimal places? -0.16 Let x = -113.98422 + 113.89. Let v = -0.1942225 - x. Let g = 0.1 + v. What is g rounded to six decimal places? -0.000003 Let y = 16 + -17.25. Round y to one decimal place. -1.3 Suppose -5*j + 2*j + 3*p = -58497, 0 = -5*j + 3*p + 97497. Round j to the nearest 1000
{ "pile_set_name": "DM Mathematics" }
e w(-20). Let v(t) = -5*t - 102. Let c be v(y). Is 8 greater than or equal to c? False Suppose 4*q + 38*h = 41*h - 83, 4*h = 5*q + 105. Which is bigger: q or -88? q Let q = -1687.4 + 2429.4. Is 5 smaller than q? True Let p be (-175)/(-45) + -6 + 1. Let n = p - -4/9. Which is greater: 0.01 or n? 0.01 Let q(n) = 5*n**2 + n - 4. Let p(w) = 2*w**2 - w. Let l(o) = 3*p(o) - q(o). Let c(y) = y**3 - y + 1. Let g be c(0). Let m be l(g). Which is greater: m or 1/28? m Let h be 14/(-8)*(-100)/(-70)*(-2)/5. Which is greater: h or 22/2567? h Suppose -6360 = 2*y + 5*x, 3*x + 15919 = -5*y - 0*x. Let q be -1 + (-20)/(-35) + (-1360)/y. Which is smaller: q or -1? -1 Let l be (-9603)/(-55) - (-9)/(-15). Let v = l + -96. Let a = v + -96. Which is smaller: -21 or a? -21 Let y(j) = j**3 - 32*j**2 + 136*j - 8. Let f be y(27). Which is smaller: f or 98? f Suppose -j + 0 + 1 = 4*x, x + 9*j = 44. Which is greater: x or 2312? 2312 Suppose 21*i - 13*i = 0. Is -7049/2 >= i? False Let o be (2 - 0)/(4/10). Suppose o*w = 10, -a = -w + 6 + 4. Let i be 9/(-6)*(a/12 + -2). Is 4 at most i? True Let t = -81.03 + 46.06. Let v = -840 - -875. Let g = t + v. Which is bigger: 1/2 or g? 1/2 Let u = -120.62 - -1.62. Let v = u + 186. Let a = v + -73. Which is smaller: a or -1? a Let a = -314 + 325. Suppose -a*w = -w - 4*w. Which is smaller: 2/339 or w? w Suppose 224 = u - 4*a + 242, -3*u - 2*a = -16. Let c = 13/60 + 139/60. Is u at least c? False Let d be (-5795)/(-1930) - 5/(10/6). Let k be -4 + (-10 - -22) - 7. Which is greater: d or k? k Let i = -232 + 183. Let l = -46 - i. Which is greater: l or 1/5? l Let f = 29 - 29. Let n be -3 + -3 + (2 - f). Let x = -5/182 + -133/26. Is x <= n? True Let m be -1 + 20/25 + 30362/10. Suppose -23*h + m = -34*h. Is h less than or equal to -276? True Let k(l) = l**2 + 3*l - 2. Let d be k(-4). Let v(o) = -o**3 - 5*o**2 - 4*o + 7. Let y be v(-2). Let c be 2/(-18)*y/d. Is 3 less than or equal to c? False Suppose z - 6 = 90*t - 88*t, t = -12*z - 3. Which is bigger: 1/3366 or z? 1/3366 Let m be (0 - (-1)/(-1))/(2/254). Let k = m - -63. Do k and -64 have different values? False Let y(w) = 102*w - 5. Let n be y(1). Let j = n + -107. Let l = j - -52. Which is bigger: l or 43? 43 Suppose 16*p + 2*p - 216 = 0. Let d = -26 - -25. Which is bigger: p or d? p Let f = -38645 + 38642. Which is smaller: 4593 or f? f Let d = -63 + 66. Suppose d*y - 16 + 4 = 0. Suppose -5*g + 4*n - 2 + 1 = 0, -3 = -g + y*n. Are g and -2/9 equal? False Let w(s) be the second derivative of 1/12*s**4 + 12 + 5/3*s**3 - 2*s - 35/2*s**2. Let u be w(-13). Is u at least as big as 0? True Let b = -1072 - -1646. Let w be (-20)/5 + 10 + 4 + 563. Are w and b equal? False Suppose 0 = r + 2*r. Suppose 10 = 2*a - r*a. Suppose 40 = -a*j + 2*x - 25, 3*j + 2*x = -55. Are j and -15 non-equal? False Let s = -828 + 829. Let j be (11/((-330)/(-36)))/(1842/(-20)). Is s less than or equal to j? False Let c be (-5334)/27370 + 0 + 3/15. Which is greater: -1 or c? c Let j(z) = -3*z + 2*z - 3 + 5*z + z + 4*z**2. Let t be j(-2). Let v(s) = -s**2 + s. Let c be v(0). Which is greater: c or t? t Let u = 258 - 255. Suppose 0 = -b + 5*y + 43, u*y + 110 = 5*b - y. Which is bigger: 21 or b? 21 Let g = 13 - 16. Let u be (0 - 0)*g*(-2)/(-12). Which is smaller: 1/24 or u? u Let d = -122 - -154. Let o be ((-4)/(-42))/(d/(-240))*-3. Which is smaller: o or 3? o Suppose -3*y = 3*l - 2*l - 5, 4*l = 3*y + 20. Suppose 4*u - 7 = -t - y, 0 = -4*u + 4. Which is smaller: 2 or t? 2 Let z(d) = -d**2 - 4*d + 4. Let y be z(-6). Let p(m) be the third derivative of m**6/120 - 7*m**5/60 - 19*m**4/24 - m**3/3 + m**2 + 7. Let w be p(9). Is y < w? False Let v = 22677744703/130 + -174448259. Let p = -4069 - v. Are -1 and p non-equal? True Let t(k) = -11*k**3 + 17*k**2 - 41. Let f be t(5). Which is greater: -1981/2 or f? -1981/2 Let y = 147102 - 279935100/1903. Let i = y + 9143/117986. Are -1 and i equal? False Let w(z) = 6*z + 12. Let g be w(0). Suppose 9*q - g*q - 3 = 0. Is -4/25 greater than or equal to q? True Let w = 3.8905 + -3.967. Do -1 and w have the same value? False Suppose 0 = 3*i - 29 - 1. Suppose -h = -4*b + 55, -b + 4*h = b - i. Let y be -2*b/9 + 3. Which is smaller: y or 0? y Let n(y) = y**3 - 33*y**2 + 81*y - 100. Let z be n(27). Which is greater: z or -2286? -2286 Let v = -9129 + 9475. Is v greater than 353? False Let y = 35215771/3735 - 47143/5. Which is bigger: -1 or y? y Let d = 15029 - 1608105/107. Suppose 4*s + 2 = 6. Is d less than s? True Let w = -10 + 9.96. Let z = -69.066 + 46.066. Is w less than z? False Let o = 1/83663 + -167333/585641. Let a = -6226/9 - -691. Is o at most a? False Let h = -32.27 - -38.27. Which is greater: -0.03 or h? h Let y = 37 - 36. Let v be (-2)/8*-4 + y. Let l be 910/(-228) + v + 2. Which is smaller: 1 or l? l Let j = 2.2 + -14.2. Let v = 40 + j. Let f = v - 27. Which is smaller: -1/18 or f? -1/18 Let g = 81007/1879896 - 1626/2701. Let b = g - -15/29. Let j = 27.2 + -27.2. Is j greater than or equal to b? True Let f = -27 + 25. Let b = f - 7. Let j = b + 6. Is -2/9 greater than or equal to j? True Suppose 2*o + 39 = -5*t, -5*t + 4*o + 1 = -4*t. Suppose -5*i + 99 - 39 = 0. Suppose 5*f + i = -28. Which is smaller: t or f? f Let u(a) = -19*a - 4. Suppose -8 = -6*z + 10*z. Let w be u(z). Let s = w + -42. Which is greater: -5 or s? -5 Suppose 30*h + 529 + 153 = 82. Is -137 at least as big as h? False Suppose 7*d = 17*d - 25*d. Is d greater than or equal to 1/9373? False Let o be 0/(-6 + (6 - 2)). Let v(g) = -g**3 - g**2 + 2*g - 23. Let u be v(o). Suppose -f = -3*m - 70, 0 = -f - 2*f + 12. Which is bigger: u or m? m Let w be ((-545)/380 + 3 - 12/(-16)) + -2. Which is bigger: w or -25? w Let d = -444 - -420. Let y be 7 + d/8 + -63. Is y not equal to -62? True Let g be (330/(-12))/11 + -2 + 5. Which is smaller: g or -25/2? -25/2 Let j = 35 - 132. Let h = -82 - j. Let u = h - 20. Is -0.05 <= u? False Let g = 2957176/65 - 45495. Let m = -13 - -12. Which is bigger: m or g? g Let q = 26 - 34. Let z = 19 - q. Let y = z - 28. Is y less than -1? False Let j = 96 + -97. Let i = 2063/48 - 128/3. Which is smaller: i or j? j Let p = 12.42 - -116.58. Which is smaller: p or 0.2? 0.2 Let o = -18894 + 132261/7. Does 16.4 = o? False Let z(j) = 8*j - 11. Suppose -1 - 14 = -5*v - 2*r, 0 = 3*v - 5*r + 22. Let p be z(v). Which is smaller: -8/15 or p? p Let c = 0 + 11. Suppose -13*b = -c*b - 60. Suppose 4*s - 2 + b = 0. Which is smaller: s or -56/9? s Let o = -39.06692 + 0.06692. Which is smaller: o or 3/8? o Let s = 559 + -553. Let l be 1*(-286)/(4 - s). Which is smaller: 141 or l? 141 Let r(k) = 6*k**3 - 11*k**2 + 110*k - 808. Let s be r(8). Are 2440 and s nonequal? False Let z = 23848/15 + -9583/6. Is -7 greater than z? True Suppose 5*l = -126 - 354. Let u be (9 - 0)*4*(-8)/l. Suppose -k - 7 = -u. Which is smaller: k or -19/6? k Let w(j) = -j**3 + 7*j**2 - 10*j + 26. Let s be w(6). Suppose 3*d + 13 = t, -s*t - 21*d + 8 = -18*d. Which is smaller: 67/12 or t? 67/12 Let u be 10 + -3 + (-2 + 3)*-6. Which is smaller: u or 4/247? 4/247 Let w = -22 - -13. Let q = -7 - w. Let m = -1.583 + -0.117. Which is bigger: q or m? q Suppose 4*k - 143 + 132 = 5*w, k - 9 = -5*w. Which is bigger: -26/125 or w? w Let x = 2221.2 - 2491. Let f = -247 - x. Let b = 23 - f. Which is bigger: b or -4/3? b Suppose -2493*p + 2483*p = 0. Is -17/16 not equal to p? True Let l be (3/50)/(2 + (-374)/184). Let d = l - -1967/50. Are d and 38 non-equal? True Let a be (-3460729)/(-8022) - (-1 - -3)/(-12). Which is smaller: a or 431? 431 Let r be (8/144306)/(216/(-972)). Is 1 != r? True Let b = -5200 - -5796. Which is smaller: b or 1786/3? 1786/3 Let w be 10/20*(104/18 + -6). Let t be 1/1 - (2 + -1). Are w and t nonequal? True Suppose -26*n + 5*n + 756 = 0. Let x(c) = c**3 - 33*c**2 - 106*c - 65. Let t be x(n). Is 11 less than t? False Suppose 5*g = -0*m + 4*m + 171, -m - 3*g = 64. Which is smaller: m or -39? m Let o(b) = -b**2 + 16*b + 91. Let d be o(21). Suppose 2*z - 23 = -4*f - z, 5*z = 25. Let x be -11 + (0 + f)/(-1). Is x not equal to d? True Let j(d) = 3*d**2 + 61*d + 484. Let p be j(-20). Is 465 less than or equal to p? False Let s = -0.0336 + 20.0336. Let z = s + -20. Which is greater: -6/55 or z? z Let l(d) = 17*d**2 - 3*d - 1. Let c be l(-1). Le
{ "pile_set_name": "DM Mathematics" }
a a prime number? False Let f = 4167 + -2218. Is f a composite number? False Is (5*-2)/((-2)/23) prime? False Suppose 5*k = 6*k - 415. Suppose k - 1120 = -5*w. Is w prime? False Let w = -8 + 7. Is (-170)/(-8) - w/(-4) prime? False Suppose -7165 - 3412 = -7*q. Is q a prime number? True Suppose -78 = -2*t + u - 12, 4*t - 132 = -u. Is t prime? False Suppose 5*h + 63 - 308 = 0. Is h a composite number? True Let u(b) = 9*b**2. Let r be u(7). Suppose 0 = 3*d - 33 + r. Let s = d + 242. Is s composite? True Let f = 1722 - 166. Suppose -i + 5*i = f. Suppose 2*z + 4*v = 5*v + 156, i = 5*z - 2*v. Is z a prime number? False Let y(o) be the first derivative of 6*o**3 + o**2/2 - 2*o + 2. Is y(-3) a prime number? True Suppose -v + 2*a = -357, v - 2*v = -a - 356. Is v composite? True Let d be 0 - (-3)/1 - 2. Let w(v) = 82*v**2 + v. Is w(d) prime? True Let w(b) be the first derivative of 5*b**3/3 - 4*b**2 + 8*b - 4. Is w(5) a prime number? False Is 5/((-10)/(-3704)) - -1 prime? False Suppose -4*d = d. Suppose -45 = -y - 4*c, d = y + 2*y - 5*c - 101. Is y prime? True Let z(q) = q**3 + q**2 - q - 1. Suppose -5 = -3*b - 8. Let u be z(b). Suppose u*f = 5*f - 485. Is f a prime number? True Let w = 98 + -52. Let q = w + -27. Is q a composite number? False Is (-1338)/4*8/(-12) a composite number? False Is (-1 + -2)*335/(-3) a composite number? True Let j(r) be the third derivative of 3*r**4/2 - r**3/3 + 2*r**2. Is j(5) prime? False Is 61 + 1 + 0 + -3 a prime number? True Let d(v) = -5 + 106*v + 5 - 36*v. Let c be d(1). Suppose r - 4*x - 21 = c, 4*r - 3*x = 364. Is r prime? False Let v(m) = m**2 - 5*m + 1. Let r be v(5). Let s(j) = 276*j - 1. Let x be s(r). Suppose x = -3*h + 8*h. Is h composite? True Let v(n) = -24*n - 3. Let s be v(5). Let w = s - -451. Let h = 483 - w. Is h a prime number? False Let w(q) = q - 1. Suppose 4*x + x - 1 = -3*k, -3*x + 3 = k. Let y be w(x). Is y/(123/(-63) - -2) prime? False Suppose 4*g + 12 = 2*v, -2*v - g = -4*g - 9. Suppose v = -3*i + 7 + 14. Is i composite? False Let p(c) = 12*c**3 - c**2 - c - 4. Let n be p(-3). Let m = 521 + n. Is m a prime number? False Let f = 1 + 1. Let t be 4*(-1 + 2 - 0). Suppose -f*x = -4*v, -t*x + 20 = -4*v - 0*v. Is x prime? False Let a(k) = -k**3 - 4*k**2 - 1. Let r be a(-4). Let j(l) be the second derivative of -35*l**3 + l**2/2 + 3*l. Is j(r) prime? True Suppose 3*l - 345 = 8*l. Suppose 0*f - 220 = 5*f. Let i = f - l. Is i composite? True Let c = -5322 - -7793. Is c prime? False Let c be 26 - (0 + 1 + -2). Let a(o) = -o**2 + 8*o - 5. Let h be a(5). Let v = h + c. Is v composite? False Suppose c - 773 = -4*g, 129 = 2*g + 3*c - 260. Suppose 5*x - 63 = -3*r + g, -5*x = 5*r - 410. Is r prime? False Let s = -945 - -1584. Suppose -s = -5*h + 1226. Is h a prime number? True Suppose 0 = -2*o + 4*m + 1916 + 406, -3*o - m + 3448 = 0. Is o prime? True Let u = 3325 - 1674. Is u a composite number? True Suppose -571 = -b - 30. Is b a composite number? False Let t = 2014 - 1348. Suppose -k = 2*k - t. Suppose 0 = 2*w - 32 - k. Is w prime? True Suppose 5*b = -g + 138, -2*g - 2*b = b - 269. Suppose -u + g = -0*u. Is u composite? True Suppose 5 = -5*j, 0 = n - 3*n - 5*j + 1265. Is n composite? True Let f(u) = -1406*u - 5. Is f(-2) composite? True Suppose -144 = -2*o - 2*o. Is 3362/18 - (-8)/o a prime number? False Let y = -179 - -255. Suppose -k = 3*h + k - y, 0 = 4*k - 20. Is h composite? True Let u(j) = -2 + 6*j + 10*j - 5*j. Is u(5) prime? True Let d(o) = -o**3 + 10*o**2 - 6*o - 1. Let l be d(6). Let s = 184 - l. Let k = -39 + s. Is k a prime number? False Let u = 16 + -14. Suppose u*a = 3*a - 86. Is a a prime number? False Let k = 11539 + -8028. Is k a composite number? False Let v(y) = -y**3 + 10*y**2 - y + 8. Let s be v(9). Let w = s - 33. Is w a composite number? False Let m(z) be the third derivative of z**5/60 - 7*z**4/24 + 3*z**3/2 - 2*z**2. Let c be m(6). Suppose c*y = 5*y - 18. Is y a composite number? True Let i(b) = -5*b**2 - b - 1. Let n be i(-4). Let p = 10 - n. Is p a composite number? True Let m(l) = -2*l + 1. Let f be m(-2). Let w(y) = y**3 - 5*y**2 - y - 3. Let i be w(f). Let c(j) = j**3 + 10*j**2 + 9*j - 3. Is c(i) composite? False Let l = -1 - 15. Let f = l - -29. Suppose 4*d - f = 43. Is d prime? False Suppose -2*y + 1645 = 5*w, -2*w - 321 = -3*w - 2*y. Is w a prime number? True Suppose -o - x - 7 = 0, o - 2*x - 4 + 17 = 0. Let v = o + 24. Is v prime? False Suppose 5*x - 107 = 48. Is x a composite number? False Let r be 6 - (2 - (-3 - -4)). Suppose 4*w = r*n - 4, 0 = -5*w - 2*n - 0*n + 28. Suppose w*h - 11 = 41. Is h composite? False Is (-266)/(-8) + 3/(-12) composite? True Let t(x) = -x**2 + 10 + 4*x - 10. Let y be t(3). Suppose 0 = -y*q - 9 + 120. Is q prime? True Let g(u) = 12*u**2 + 13*u + 15. Is g(-8) prime? False Let a(h) be the third derivative of -h**6/120 - 11*h**5/60 - h**4/8 + h**3/6 - 2*h**2. Is a(-11) a composite number? True Let f(v) = v**3 + 6*v**2 + 6*v + 7. Let s be f(-5). Suppose -4*m + 1 = 2*a - 3, -2*m + s = -5*a. Is (-2)/((-243)/(-249) - m) prime? True Let t(x) = 41*x + 7. Is t(6) a prime number? False Suppose 2*d + 5*u + 79 = 0, -80 = 3*d + 5*u + 36. Is 2/((-8)/d)*4 prime? True Let y be -1 - (-5)/((-5)/(-22)). Suppose y = -3*v + 51. Suppose -v = -2*p + s + 3*s, -3*p + 17 = -4*s. Is p a prime number? True Suppose 3*t + 15 = 4*t. Suppose -b + t = 2*b. Suppose 0 = -5*c - b*f + 195, -c + 5*f + 20 = -7. Is c a composite number? False Let n(z) = -52*z - 3. Let s be n(-3). Suppose 2*j - 479 = -s. Is j a prime number? True Suppose -g - 4*g = 3*q - 683, 450 = 2*q + 2*g. Is q a composite number? True Suppose 0 = y - 1 + 5, -5*v + 4*y = -41. Suppose -4*d + 200 = -4*m, v*d - 35 - 218 = 4*m. Is d a prime number? True Suppose 2*q - 5*c + 3*c - 2 = 0, 2*c + 14 = -q. Is (-3 + 8 + q)*191 a composite number? False Let m(y) = -y**2 + 3*y + 4. Let x be m(-4). Let k = 50 + x. Is k prime? False Suppose 3*l = 2*l + 1741. Is l prime? True Suppose 4*b = 5*b - 1471. Is b composite? False Let r = 6 + -4. Is (-189)/(-4) - r/8 a prime number? True Let l(y) = y**3 - 5*y**2 - 3*y + 6. Is l(7) a prime number? True Let f = -98 + 143. Suppose -f = -5*a - 15. Is a a composite number? True Suppose -2*f + 1446 = -0*f - 4*o, 4*o = -5*f + 3671. Let p = 392 - f. Is p*((-1)/3)/1 a prime number? True Let x(z) = -z**3 - 2*z**2 + 2. Let o be x(-2). Suppose -o*f = -3*u - 0 + 6, 4*u - 5*f - 1 = 0. Let r(q) = 23*q - 3. Is r(u) prime? True Suppose 2*k + 3*h - 13625 = 0, 15 + 5 = 4*h. Is k a prime number? False Let s = 7 + -11. Let p = s + 8. Is (-705)/(-9) + p/6 prime? True Let y = -12 - -22. Is (5/(y/148))/2 a prime number? True Let m(c) be the second derivative of -1/20*c**5 + 1/2*c**3 - 1/4*c**4 - 2*c + 1/2*c**2 + 0. Is m(-6) a composite number? True Is 5065/2 + ((-1)/(-2) - 2) prime? True Suppose -4*i + 3*m = 20, 4*i - 14 = i - 5*m. Let v(l) = 263*l**2 + l - 1. Is v(i) a composite number? False Let m = -12 + 17. Is (-22)/m*(4 + -9) a composite number? True Suppose 0 = 354*t - 357*t + 6519. Is t a composite number? True Let z(a) = -54*a - 39. Is z(-8) composite? True Suppose -p + 5*p = 892. Is p a composite number? False Is -221*(2 + 2 + -3)/(-1) composite? True Suppose 3 + 1 = 2*j. Suppose -2*c + 1 = o - 6*o, -3*c = -j*o - 7. Suppose 0*i - c*i = -66. Is i a prime number? False Suppose -2*x - 13 = -5*d, 3*d + 9 = -4*x + x. Let h = -4 - x. Suppose 0 = -h*m - m + 21. Is m a prime number? False Let o = 402 - 257. Is o a composite number? True Let m(z) = 287*z - 1. Let h be m(1). Let i be (-1)/(-4) - h/(-8). Suppose -5*w - i = -131. Is w a prime number? True Let g = -3 + 10. Suppose 638 = g*q - 5*q. Is q a prime number? False Suppose 0 = -3*i + 7*i - 7036. Is i composite? False Suppose 7*u - 3*u + 216 = 0. Let d = u - -137. Is d prime? True Let j be (-852)/(-9)*9/6. Let r be (0 - 2/2) + 3. Suppose r*f = -0*f + j. Is f prime? True Suppose 0*w + 3*w = 3. Is (-4)/((-3)/(-9) - w) a composite number? True Suppose 5*i + 17 = -t + 5, -5*i - 5*t = 0. Let r be (-44)/i + 2/(-3). Let d = 12 + r. Is d a prime number? False Let d = -199 - -386. Is d composite? True Let y be (12/9)/(-4)*6. Let k = y - -2. Suppose k = 5*m - 3*n - 1184, 5*n = 3*m + 2*n - 714. Is m prime? False Let w = 466 - 108. Is w a prime number? False Suppose -7*b
{ "pile_set_name": "DM Mathematics" }
r be u(9). Give k(r). -1 Let z(h) be the first derivative of h**2 - h - 81. What is z(-1)? -3 Suppose -2*r - 33 = -5*o, -3*r + 3*o - 40 + 4 = 0. Let z(c) = -c - 16. What is z(r)? -7 Let l(o) = 85 - 85 + 5*o. Suppose -4*w - 10 = 5*d, d - 2*w + 0*w - 12 = 0. Give l(d). 10 Let m(h) be the first derivative of -25*h**2/2 - 2*h - 31. Determine m(-2). 48 Let p(t) = 1 - t**2 + 89*t - 88*t - 1. Give p(3). -6 Let i(b) be the third derivative of b**7/840 - b**6/240 + b**5/60 - 31*b**4/24 + 23*b**2. Let t(l) be the second derivative of i(l). What is t(2)? 8 Let v be 0/((18 - -6)/(-12)). Let f(l) = l - 42. Give f(v). -42 Let d(z) = z**2 - 4*z + 5. Let l = -35 + 34. Let y be (2 + (2 - l))/1. Determine d(y). 10 Let k(s) be the first derivative of s**3/3 + 4*s**2 + 4*s - 68. Calculate k(-10). 24 Suppose 0 = 2*o + 2*o + 8. Let a be 1*(0/(-3) - o). Let q(v) = 2*v + v**2 + 2*v**a - 7*v + v + 2. Give q(2). 6 Suppose 9*c - 4*c - 45 = 0. Suppose c*z = 4*z + 3*g + 90, -4*z + 3*g = -75. Suppose 0*v = 3*v - z. Let x(l) = -2*l**2 + 6*l + 6. Determine x(v). -14 Let s(h) = -h**3 + 9*h**2 + h - 5. Let p be s(9). Let r be (-6)/p + 3/2. Let c(o) = -4*o - 4 + r*o - 3*o + 5*o. Give c(-5). 6 Let g(x) = x - 8. Suppose 4*d - v - v - 48 = 0, -2*d - 2*v = -30. Calculate g(d). 5 Let r = -18 - -12. Let t = r + 2. Let a(v) = v**3 - 2*v**3 + 5 - 3*v - 34*v**2 + 29*v**2. Give a(t). 1 Let i = -66 + 102. Suppose k = -3*z - 2*z + 3, 4*k - 4*z + i = 0. Let w(m) = 4 + 2*m + 3 + 3. Calculate w(k). -4 Let x(q) = 5*q - 16*q + 2*q. What is x(-1)? 9 Let t(f) = -f**2 + 9*f + 1. Let q be (-64 - -70)*(0 - 5/(-3)). Give t(q). -9 Let j(x) be the first derivative of -x**3/3 - 3*x**2/2 - 3*x + 377. Determine j(-5). -13 Let j = -207 + 209. Let u(o) = 2*o**2 + 4*o - 5. Determine u(j). 11 Suppose -j - 32 = -2*y, 2*y = -3*j - 2*y - 66. Let q = -19 - j. Let i(n) = -2*n + n + 2 - 5. Calculate i(q). -10 Suppose 100 = 4*a + 24. Let w = 20 - a. Let f(g) = -4*g - 2 + 5*g**2 + g**3 + w - 5. Calculate f(-5). 14 Let m = 160 + -157. Let b(o) = 0 + 11 - 1 - m*o - 3 + o**2. Determine b(5). 17 Let v(n) = -9*n + 15. Let i(o) = 4*o - 7. Suppose 4 = -w + 1. Let l(x) = w*v(x) - 7*i(x). Suppose -88*f = -93*f. What is l(f)? 4 Let t(f) = f**3 + 7*f**2 + 6*f + 4. Let m = -9 + 11. Suppose -28 = 5*g + m. What is t(g)? 4 Let l(i) = i**2 + 4*i + 7. Let t be l(-3). Suppose 5*r = t*y - 15, y + 3*y + 3*r + 9 = 0. Let q(c) = -c**2 + 2. Give q(y). 2 Let b = -1917 + 1912. Let j(g) = -3*g - 6. Give j(b). 9 Let u(s) = -s**3 - 4*s**2 + s - 24. Let g be -25*4/(-140)*-7. What is u(g)? -4 Let q(g) be the third derivative of -g**6/12 + g**5/60 + g**4/12 + g**3/6 - 7*g**2 + 1. What is q(-1)? 10 Let i(o) = -2*o**2 - 20*o - 11. Let m be (-7 + (-272)/(-32))/((-2)/12). Determine i(m). 7 Let r(y) = 5*y**3 - 4*y**2 + 20*y + 98. Let j(t) = -9*t**3 + 8*t**2 - 39*t - 182. Let n(s) = -6*j(s) - 11*r(s). Determine n(-6). 2 Let b(r) = -13*r**2 + r - 1. Let s = -110 + 111. Give b(s). -13 Let k(q) = -q**3 - 4*q**2 - 2*q - 1. Let l = 0 + -4. Let i be k(l). Let o(u) = 7 - 3*u**3 + i*u + 0*u**3 + 8*u**2 + 4*u**3. What is o(-7)? 7 Let d be 2 + -15*(-15)/9. Let s(o) = -o**2 + 27*o. Give s(d). 0 Let m be (-1)/(-4)*0 - 9. Let d(k) = -10 + 0 - 2*k - 2. Determine d(m). 6 Let a(y) = y + 19. Let i be a(-9). Let l(x) = x**3 - 10*x**2 + 3. Give l(i). 3 Let l(g) = 36*g**3 + g**2 - 1. Let r(f) = 4*f + 9. Let b be r(-2). Calculate l(b). 36 Let u(g) = -g**2 - 8*g - 5. Let k = 50 - 55. Calculate u(k). 10 Let i(v) = -12*v + 6. Let p(w) = -24*w + 11. Let k(g) = -5*i(g) + 3*p(g). Give k(4). -45 Let w(n) = n**2 + 3*n. Suppose 3*l = 3*q - 9, 0 = 6*l - 5*l - 5*q + 19. Suppose -4*s + 7*s = -12. Let c = l + s. Determine w(c). 0 Let p(y) = -3*y + 7. Let c be ((-399)/(-76))/((-3)/4). What is p(c)? 28 Let l(z) = -z**3 + z**2 + z - 2. Let o(a) = 1 + 0*a + a + 1. Let f be o(0). Suppose i = 2*w - f, 0*i + w + 6 = 4*i. What is l(i)? -4 Let c(j) = -j**3 + 4*j**2 - 1. Suppose 23*r = 9*r + 28. Calculate c(r). 7 Let h(n) = -3*n**2 + 6*n - 5. Let s be 24/(-56) + (-100)/(-70). Give h(s). -2 Let f(n) = n**2 + 10*n + 1025 - n - 1033. What is f(-9)? -8 Let d(t) = t - 3. Let c(n) = -4*n + 2. Let z(p) = 4*c(p) + 3*d(p). Determine z(-1). 12 Suppose 3*a = -2*l + 2*a + 11, 0 = -3*l + 3*a - 6. Let o = l - 1. Let f(y) = -9*y + 1. Let m(u) = 11*u - 1. Let g(x) = 7*f(x) + 6*m(x). Give g(o). 7 Suppose 4*u + 8 = -0. Let k(p) = -7*p. Let o(n) = -13*n - 2. Let l(w) = -350*w - 55. Let v(j) = 2*l(j) - 55*o(j). Let b(g) = 7*k(g) + 3*v(g). Determine b(u). 8 Let y(w) be the second derivative of w**8/6720 + w**6/720 + w**5/120 + 49*w**4/12 + w**3/3 + 21*w. Let t(o) be the third derivative of y(o). Calculate t(0). 1 Suppose 7 = -4*k + 2*s - 9, -5*k - 7 = 4*s. Let u(x) = x**3 + x**2 + 3*x + 4. Determine u(k). -23 Suppose -c = -8 + 2. Let f(i) = 9*i**3 - 14*i**2 - 23*i + 1. Let j(s) = 5*s**3 - 7*s**2 - 12*s + 1. Let g(x) = c*f(x) - 11*j(x). Give g(-6). -5 Let b(s) = s**2 - 4*s - 2. Let u(t) = 2*t**2 - 14*t - 1. Let z(q) = 2*b(q) - 2*u(q). Give z(10). -2 Let u(p) = p**3 + 5*p**2 + 2. Let q = -877 + 873. Calculate u(q). 18 Suppose 44 = -7*r + 2. Let i(a) = -a**3 - a**2 + a + 12. Let z(s) = -2*s**3 - s**2 + 3*s + 25. Let f(d) = -13*i(d) + 6*z(d). Calculate f(r). 0 Let j(i) = -9*i**3 + 3*i**2 + 7*i - 9. Let b(s) = 5*s**3 + 5 - 8*s**2 + 13*s**2 - 6*s**2 - 4*s. Let y(a) = -7*b(a) - 4*j(a). Determine y(5). 1 Let f(p) = p**3 + 26*p**2 + 123*p + 13. Let i be f(-6). Let g(q) be the second derivative of -q**3/6 - 3*q**2 - q. Calculate g(i). -1 Let w(z) be the second derivative of z**3/6 - z**2/2 - 11*z. Let i(k) = -k**3 - k**2 - 6. Let b be i(0). Let l be ((-8)/(-6))/(b/27). What is w(l)? -7 Suppose 2*x + 6 = c + 2*c, 0 = 5*c + 3*x - 10. Let h(o) be the second derivative of 0*o**c - 1/6*o**4 - 1/3*o**3 + 1/20*o**5 + 0 - o. Calculate h(3). 3 Let o(z) be the third derivative of -z**5/20 + z**4/12 - z**3/2 + 2*z**2 + 2*z. Determine o(2). -11 Let t(o) = -o**2 + o. Let w(r) = -3*r**2 + 2*r - 4. Suppose -2*a = 5*v + 3*a + 40, 0 = 5*v + 4*a + 37. Let s(l) = v*t(l) + w(l). What is s(3)? 5 Let p(k) = -5*k**2 + k. Let m = 241 + -239. Give p(m). -18 Suppose -19 = -x - 5*p, -5*x + p = 2*p + 25. Let i = x - -5. Let f be (-296)/(-48) - i/(-6). Let n(q) = -2*q + 7. Give n(f). -5 Let w = -53 + 43. Let h(q) = -q**3 - q**2. Let i(p) = -3*p**3 + 7*p**2 + 10*p - 2. Let n(x) = 4*h(x) - i(x). Determine n(w). 2 Let r(l) = l - 18. Suppose 5*j = 2*t - 12, 2*j + 3*j = t - 11. Let i(f) = 3*f + 5. Let x be i(t). What is r(x)? -10 Let y(c) = c**3 - 4*c**2 + 2*c + 4. Let m(k) = 65*k**2 - 72*k**2 + 3*k + 2*k**3 - 6 + 13. Let r(q) = 2*m(q) - 5*y(q). Let h be 34/6 + (-4)/6. Give r(h). -1 Suppose -3*c + 18 = -2*o, -3*o = o. Let u(k) = -23 + 5 + 7 + 2*k + c. Give u(6). 7 Let x(h) be the first derivative of -h**3/3 + 3*h**2 - 198. Determine x(3). 9 Let k(z) be the second derivative of 1/2*z**2 + 9*z - 1/20*z**5 + 0 + 1/4*z**4 + 1/2*z**3. What is k(-2)? 15 Let x(n) = n**2 - 5*n - 3. Suppose m - 12 = 3. Let r = 15 - 24. Let a = r + m. What is x(a)? 3 Suppose 2*w - 28 = 7*c - 2*c, 0 = 3*c + 3*w. Let i(k) be the first derivative of k**2/2 - 3*k + 3. Determine i(c). -7 Let l(w) = 48*w**2 + 1 + 54*w**2 + 88*w**2 - 186*w**2. Let q = 3 - 1. Let i be 2/4*q - 2. Give l(i). 5 Let v(u) = -13 + u - u**2 + 6*u + 0*u + 5. Let i(p) = 2*p + 2. Let h be i(-2). Let a(d) = d**2 + 2. Let f be a(h). What is v(f)? -2 Suppose -5*r + d + 2*d + 12 = 0, -3*d = 2*r - 9. Let f(o) = o + 4 - r - 5*o - 14*o. What is f(1)? -17 Let g be (-6)/78 + -19*10/65. Let z(j) = -3*j - 7. Determine z(g). 2 Let d(u) be the third derivative of u**8/20160 - u**7/1680 + u**6/180 + 3*u**5/20 + u**2. Let p(z) be the third derivative of d(z). Calculate p(4). 8 Suppose 0 = -7*s + 9*s - 84. Let t be ((-111)/12)/(2/(-8)). Let a = s - t. Let j(c) = -c**2 + 6*c - 5. What is j(a)? 0 Suppose q = -q. Let l(v) = q + v + 0*v - 4. Suppose 10 = -5*h + 5*i, i = 2*h - 0 + 6. Give l(h). -8 Suppose -13 = -3*t - 4. Suppose t*k = 5*c - 20, -2*k = 3*c - 15 + 3. Let f(v) be the second derivative of -v**3/2 + 2*v**2 + v. Determine f(c). -8 Let k(t) = 2*t + 2. Let b = 133 - 132. Calculate k(b). 4 Let m(f) = -f**2 - 13*f + 11. Let d(k) = -k**2 - 7*k + 6. Suppose 0 = 4*z + 5*o + 45, 0*z = -5*z + 2*o - 15. Let b(s) = z*d(s) + 3*m(s). Give
{ "pile_set_name": "DM Mathematics" }
st common multiple of i(-2) and n. 11 Let b(c) = -1 + 21*c**2 + 0 - 2 + 2. Let m be b(-1). Suppose -r - r = -m. Calculate the lowest common multiple of r and 15. 30 What is the common denominator of (-1545)/3128 - ((-702)/(-138) - 5) and -19/18? 1224 Let w = 27 - 43. Let d = 2354/15 + -743/5. Calculate the common denominator of -5 - -3 - (-14)/w and d. 24 Suppose l = 5*o + 3*l + 28, -5*l = o + 1. Calculate the common denominator of (-15)/(-16) + 1/(-2) and 354/(-44)*2/o. 176 Suppose -2*q + 2*v = -3*v + 35, -10 = q - v. Let m = q + 7. Suppose 3*h - 6*h = -3*w + 54, -4*w = 5*h - 90. What is the least common multiple of m and w? 20 Let r be 1/(-4) + (-1445)/(-20). Let q = r - 50. What is the lowest common multiple of q and 10? 110 Let i = -853/10 - -86. Calculate the common denominator of i and 63/(-105)*(-14)/(-6). 10 Let m(g) = 47*g + 4. Let n be m(1). Suppose k + n = 54. Calculate the lowest common multiple of 41 and k. 123 Let x = -8 - -15. Let t(c) = c**3 - 59*c**2 + 865*c - 30. Calculate the smallest common multiple of (-2)/(-7) + 40/x and t(32). 6 Suppose -2*d = 4*l - l - 4606, -2*d - 2*l + 4606 = 0. Let j = d - 41477/18. Calculate the common denominator of 62/(-10) - (-3)/12 and j. 180 Let t = 5833/66 - 1128/11. Let h = -969231/270946 + 3/10421. What is the common denominator of h and t? 78 Let o = -256 - -307. Calculate the least common multiple of o and 68. 204 Let p(y) = -y**3 + 8*y**2 + 9*y. Let z be p(9). Suppose 2*q + 3 = 3*t - q, -3*t + q - 5 = z. What is the smallest common multiple of 8 and 30*(-4)/36*t? 40 Suppose -2*s + 4*b + 42 = s, s + b - 21 = 0. What is the least common multiple of 33/4 - 3/12 and s? 72 Suppose l - 6*l = -c + 17, -l - 3*c - 13 = 0. Suppose 0 = -x - n + 7, 5*n = 3*x + 4*n - 5. What is the smallest common multiple of x and (3 + 1)*(-17)/l? 51 Let f = -43092785/10378908 - 1/305262. Let s = f - -47/12. What is the common denominator of -13/6 and s? 102 Let o be 1 + (2020/(-666) - -2). Let x = 1385001049805/7326 + -189052830. Let l = x + o. Calculate the common denominator of l and 73/2. 22 Suppose 8*g - 7*g = -j + 31, 0 = -g + 5*j + 43. Calculate the lowest common multiple of 44 and g. 132 Let q = -3 - -6. Suppose -3*z - 57 = 2*j - 0*z, 4*j + 4*z + 108 = 0. Let g = 29 + j. Calculate the smallest common multiple of g and q. 15 Let i = 3 + -1. Calculate the lowest common multiple of i and -6*9/54*-9. 18 Calculate the smallest common multiple of 7 and 3 + (2 - 3) - -68. 70 Let k be 1/((-4)/(-16))*2. Suppose -4*x = -0*x - 4*b - 28, 0 = -2*x - b + k. Calculate the least common multiple of x and 11. 55 Let m = 6 - 80. Let l = -54 - m. Calculate the smallest common multiple of l and 20. 20 What is the common denominator of (-50 - -1)/(12 - 9 - -9) and -63/40? 120 Let k(o) = o**3 + 4*o**2 - 13*o - 2. Suppose 2*a + 4 = 4*a. Calculate the least common multiple of k(-6) and (-11)/2*(a + -4). 44 Let p be ((-21)/(-6))/((-3)/18). Suppose -3*j + 0 = d + 12, -3*j = -4*d + 27. What is the lowest common multiple of (-153)/(-21) + 6/p and d? 21 Let m(d) = d**2 + 3*d - 6. Let w be m(-3). Let o = 14 + w. What is the lowest common multiple of o and 36? 72 Suppose 0 = 4*o - 3*q - 45, 6*q - q = -4*o + 21. Suppose 2*d = -d + o. What is the smallest common multiple of 16 and ((-63)/28)/(d/(-16))? 48 Let n = 9 + -7. Suppose -24 = -0*o - n*o. Calculate the lowest common multiple of 24 and o. 24 Suppose 16 = 3*d + d - 4*c, -4*d + 5*c + 14 = 0. Let q(k) = k + 6. Calculate the lowest common multiple of q(d) and 10. 60 Let f(j) = 2*j + 3 + 4*j - 7 - 2. Let w = -7 - -10. Calculate the least common multiple of f(w) and 12. 12 What is the common denominator of 78/(-15)*(90/16)/(-3) and 13/40? 40 Let z be 85141/588 + 2 + 2/7. Let f = z + -155. Calculate the common denominator of f and 127/48. 48 Suppose -5*f + 119 = -221. What is the smallest common multiple of 6 and f? 204 Let w = -275543/38 + 7249. Let x be -18 - -4 - (-1 - 0). Find the common denominator of ((-26)/x)/((-4)/(-73)) and w. 38 Suppose -b + 8*g + 15 = 7*g, -3*g = b - 35. Suppose -3*o - 4*s = -b, -o + s = 2*o - 40. Calculate the lowest common multiple of o and 44. 132 Let i be 96/(-2) + (4 - 5/1). Let d = i + 61. What is the lowest common multiple of 6 and d? 12 Calculate the common denominator of (-570)/72 + (-12)/(-8) and -99/602. 3612 Suppose 9 = 2*z + 23. Let h = -19 - z. What is the smallest common multiple of 2 and (h/(-3) + -2)/1? 2 Let q be 6/8*(5 + 15). Let y = -25549/14 + 1826. Calculate the common denominator of (-3)/(-1) - q/(-2) and y. 14 Suppose 14*h = 12*h + 56. Suppose 3*z + j = h, -24 = -3*z - 4*j - 2. Calculate the least common multiple of z and 30. 30 Let x = -419/5 - -169/2. Find the common denominator of (-1)/(-2)*(-47)/(-5) and x. 10 Let f(l) = -l**3 - 3*l**2 + 2*l - 6. Let j be f(-4). Let s = 5 - -3. What is the least common multiple of (-2*j/(-4))/(2/36) and s? 72 Let j = -20/59 + 535/708. Calculate the common denominator of 13/36 and j. 36 Let k(d) = -d**2 - 21*d - 53. What is the least common multiple of 9 and k(-11)? 171 Suppose -132 - 138 = 6*k. Calculate the common denominator of (2 - (-429)/k)*(-15)/20 and (-4)/(-2) + (-109)/8. 40 Let z = 358637/61712 + 4/3857. Let q = -383/248 + -2208735/1736. Let t = q - -1276. Find the common denominator of z and t. 112 Let g = -10531/718 + 1/2154. Let l = 48 + -70. Calculate the common denominator of 4/l*47/(-2) and g. 33 Let f = 3/466 + -27181/23766. What is the common denominator of -20/93 and f? 1581 Let w = 5405/884 + 30/221. Find the common denominator of w and -3/8. 8 Let u be 2 - (7 - -2)/3. Calculate the common denominator of 69/8 and (-1 - u) + (-380)/(-24). 24 Let y be 1 + 0 + -3 + (-5 - -3). Calculate the common denominator of y + 1 - ((-3975)/(-228))/(-5) and -127/6. 228 Let c = 31 - 28. Suppose -5*y + 3*a + 59 = 0, c = -a - 0. What is the lowest common multiple of y and 3? 30 Let l(g) = -58*g + 2. Let k be l(-2). Suppose 38 - k = -5*a. What is the lowest common multiple of a and 8? 16 Let b be 3 - (-3 - -3) - -7. What is the common denominator of (-6 + 12)*9/(-66) and 2 + 53/b + -3? 110 Let c = 10324/7 - 1472. Find the common denominator of c and (-11)/77 + (-440)/(-42). 21 Suppose 0 = -0*j + 5*j - 70. Let f = j - 7. Suppose -f*t + 5 = -2*t. Calculate the lowest common multiple of 4 and t. 4 Let n(h) = h + 2. Let y be n(-6). Let g(k) = -15*k - 9. Let z be g(y). Find the common denominator of 43/10 and (-2 - -1)/((-15)/z). 10 Let l = -5747 + 206855/36. What is the common denominator of l and -17/42? 252 Let z = -1622499/2536 + 261/634. Let h = z - -638. What is the common denominator of -95/18 and h? 72 Let s = 496573/68760 + 3/7640. Calculate the common denominator of s and 2/(-7) - 69/77. 99 Let k(f) = -2*f**3 - 10*f**2 - 18*f - 11. Let w be k(-15). Let r = 5717102 + -57218661/10. Let n = r + w. Calculate the common denominator of -3/32 and n. 160 Let f(o) = 1 + 4*o + 4*o - 2*o - o**2 + 0*o**2. Let j be -10*((-1)/2 - 0). What is the smallest common multiple of 5 and f(j)? 30 Let q = 13235/48 - 1645/6. Calculate the common denominator of (-87)/2*2/(-24) and q. 16 Let f be ((-5 - -5) + -3)/((-1)/(-3)). What is the common denominator of (0 - (-2)/f) + (-17178)/(-4158) and 13/5? 55 Let d be -134*(3 + 8498/(-80)). Let j = d + -13829. Find the common denominator of j and 33/2. 20 Find the common denominator of (-61 - -62)*(-291)/(-60) and 31/45. 180 Let w = 257 + -215. Calculate the lowest common multiple of 42 and w. 42 Suppose -5*k + k = -t - 4, 5*t - 16 = 2*k. Let r be 6*3/6 - k. Calculate the common denominator of (r + 19)*(-45)/264 and 109/14. 154 Let c = 31 + -67. Let x = c + 25. What is the common denominator of -108*((-23)/(-96) + (-1)/3) and x? 8 Let p = 866 - 310. Calculate the smallest common multiple of 12 and p. 1668 Suppose 0 = 3*d + 2 - 74. Calculate the common denominator of -71/42 and ((-3)/d)/((-15)/(-628)). 210 Suppose -3*y - 17 = 7. Let h(n) = 2*n**2 + n + 10. Let o be h(0). Let g = o + y. What is the lowest common multiple of g and 8? 8 Let w = -2777 - -33377/12. Calculate the common denominator of w and (-434)/(-40) - (12 - 0 - 4). 60 Let m = 10241/3 - 3414. What is the common denominator of ((-4)/(-62))/(2/7) and m? 93 Suppose 0 = -8*n + 446 + 98. Suppose -4*i = 3*m - n, 3*m - 49
{ "pile_set_name": "DM Mathematics" }
r*b - 15 = 0, 1 = -i + 3*b - 7. Solve i = -4*d + k, -4*d - 2*k = 2*k - 4 for d. 0 Let l be (11 + 4)/(1 - 0). Suppose 3*f = 4*i + 15, i - 2*i + l = 3*f. Suppose i = 12*w - 7*w. Solve 0 = -2*z - w*z + 8, 0 = 2*h - 2*z + 16 for h. -4 Let f be 52/(-8) + 6 + (-1)/(-2). Suppose f = -28*t + 2 + 110. Solve 0 = -b + 5, -3*b + 0*b + 19 = t*d for d. 1 Let j(v) be the second derivative of v**4/6 + 13*v**3/6 + 7*v**2/2 - 11*v. Let q be j(-7). Let x be 30/3*q/35. Solve -4*t = -20, -26 = 5*p - 4*t + x for p. -2 Let i = -21 - 48. Let u = 74 + i. Solve 5*r + u*q - 13 = -3, 0 = r - q - 2 for r. 2 Let f(j) be the third derivative of j**5/30 - 47*j**4/24 + 18*j**3 + 3*j**2 - 79. Let i be f(21). Solve i = -s + 4*s - 3*w, 7 = 5*s - 4*w for s. 3 Let t = -26162 + 26162. Solve -3*a - 29 = -3*c - 47, t = c + 2*a for c. -4 Let w be 46/11 + 98/(-539). Solve w*m - c + 18 = 6, -4 = 2*m - c for m. -4 Suppose 11*w + 27*w - 196 = 412. Solve 4*k - w = 0, -8*q = -4*q + 2*k + 8 for q. -4 Let c(n) = 3*n**3 - 13*n**2 + 6*n - 4. Let u be c(4). Solve 3*j + 8 = -s - 2, 0 = 3*j - u*s + 35 for j. -5 Suppose -350 = 51*y - 2288. Solve 37 - y = d - q, -2*q + 18 = 2*d for d. 4 Suppose -l = -122*l + 242. Solve -5*c = -n + 21, -l*n - 10 = -0*c + 3*c for c. -4 Suppose 0 = -v + 5*r + 27, -8*v - 21 = -6*v + 5*r. Suppose 8 = 4*k - 0*k. Suppose -7*s - 36 = -25*s. Solve -l - s*y + k = 1, v*l = -2*y for l. -1 Let z(d) = 2*d + 15. Let v be z(7). Suppose v = -5*q - 11. Let y be 92/16 + ((-18)/q)/(-3). Solve -4*h + 4*m = 19 + y, 5*m = -4*h - 6 for h. -4 Let c(a) = -33*a - 228. Suppose q - 2*s = -3, 0 = -5*q + 4*s + 15 - 42. Let j be c(q). Solve -j*p + 5*l - 8 = 0, -5 + 6 = 4*p + 5*l for p. -1 Let w(u) = -u**2 - 18*u - 75. Let l be w(-8). Solve 12 = -4*z - l*n - 13, n + 5 = 2*z for z. 0 Suppose 0 = l - 13 + 9. Let n = 27 + -30. Let c be 4/(-6)*n - -3. Solve c*o + 3*y = -y + 31, -l*o + y = -8 for o. 3 Suppose 5*i - 4*i = 35. Suppose 0 = -31*f + 38*f - i. Solve -f*h - 23 = j, 4*h + 0*j + 14 = -3*j for h. -5 Suppose 3*k = x - 10, 7 + 11 = 5*x + k. Let b be (-3 - (5 + -10))*7 - (-63)/(-9). Solve -b*h + 11 = 5*m - 5*h, 0 = 3*m - x*h + 9 for m. 1 Suppose 316*s = 323*s - 91. Suppose 4*w = h + 1, -2*w + 4*h = w - 4. Solve w = 2*o - 4*v + 5 + 1, -2*v = -3*o - s for o. -5 Let x(d) = d**2 - 22*d + 123. Let c be x(11). Solve k + 7*h - 12 = 3*h, 4*h - 24 = c*k for k. -4 Suppose 2*k + 3*k - 20 = 0. Let i(z) = -8*z - 52. Let h be i(-13). Let x = -48 + h. Solve -4*r - 5*t + 12 = 0, 0*r = x*r - k*t - 12 for r. 3 Suppose 0 = 139*u - 136*u - 12. Solve n = -u*v + 14, -3*v + 8 = -1 for n. 2 Let s = -282 - -283. Let t be (5 - 2 - 21/7)/s. Solve -g + 29 = -5*n, t = -5*n - 0*g - 2*g - 17 for n. -5 Let d(x) = -23*x - 23. Let y be d(-7). Let n = 141 - y. Solve -3*w - n + 12 = 0, w - 7 = 4*o for o. -1 Suppose 22*o = 19*o + 15. Suppose 3*f = 4*x + 40, -40 = -4*f - 3*x + o*x. Solve 2*m - 14 = 4*v, -3*v + 23 = -3*m - f*v for m. -1 Let v be 4/6*2418/124. Suppose v*f = -59 + 85. Solve 3*q + 3 = -3*i, -i - 2*q = f*i + 5 for i. -3 Suppose 0 = -2*m + m - 3*w - 6, -3*m - 5*w - 2 = 0. Solve 0 = 2*o + m, 3 = -0*l - 3*l + 4*o for l. -5 Let l(d) = -d**2 + 14*d - 31. Let h be l(3). Solve -4*c + 21 = -3*q, -h*q - 5*c + 12 = 3 for q. -3 Let z(s) = 2*s**3 - 13*s**2 - 17*s - 52. Let a be z(8). Solve 0 = -5*i + a*y - 12, -5*i + 0*i + 5*y = 10 for i. -4 Let v be 1*(-13 + -2 - -18). Solve -3*d + 5*y = 3*y - 5, -4*y - 13 = -v*d for d. -1 Let g = -100 + 102. Suppose 3*i - g*s - 135 = 0, -31 = -i - 0*i - 4*s. Let v = 71 - i. Solve 0 = -q + 3*n + 8, -2*q + v = -6*q - 3*n for q. -4 Suppose -4*m + 628*l - 625*l + 29 = 0, 4*m - 14 = -2*l. Solve m*w - 4*a - 3 = 0, 2*w + 11*a = 9*a - 6 for w. -1 Let w(l) = -l**2 - 22*l - 107. Let h be (-2)/8 - (3630/(-24))/(-11). Let t be w(h). Solve -4*q = -t*d - 31, 24 = -8*d + 4*d + 3*q for d. -3 Suppose -3*c = 12*c - 15. Suppose 0 = 2*d + 33 + 3. Let n be c*d/(-12)*2. Solve -11 = -5*b + 3*f, -2*b - n*f = -0 + 4 for b. 1 Suppose 4*b = -7*b + 209. Suppose 41*k - 132 = b*k. Solve -3*m + 2*z + 2 = -0*m, 5*m = 2*z + k for m. 2 Let n = -10566 - -10571. Solve 6*o + 5*d = 2*o + 46, -n*o + 26 = d for o. 4 Suppose -25*g - 691 = -766. Solve g*m - 18 = -2*k - 4, -m = k - 4 for m. 6 Suppose -5*w + 6*w + 2 = -u, 0 = -4*u - 8. Let h = -55 + 59. Solve k + w*k = 0, 12 = 4*b - h*k for b. 3 Let b = -2231 + 2235. Solve 12*y = 4*i + 11*y, 0 = 3*i - b*y for i. 0 Suppose 20*f = 168 + 292. Solve 5*p = 4*m + 20, p - 2 = 5*m + f for m. -5 Let p be (-30)/(-165) + 1102/(-11). Let k = p - -104. Let m be (-1)/(48/52 + -1). Solve -b + 5*c = -9, -4*b - k*c + c = -m for b. 4 Let i be (-1055)/(-6) - 5/60*-2. Let j = i + -165. Solve -3*c + 8*c = -2*x - j, x = -5*c - 13 for x. 2 Let s = -175 + 182. Solve 8*b - 6*b = -5*m + 16, -3*b + m + s = 0 for b. 3 Let q = -40413 + 40418. Solve 0 = -p - d + 1, -110*p + q*d - 45 = -105*p for p. -4 Let m(r) be the first derivative of 2*r**3/3 + 13*r**2/2 + 11*r + 59. Let p be m(-6). Solve -2*a + s + 5 = 0, 17 = p*a - a + 5*s for a. 3 Let f(g) = -g + 7. Let q be f(2). Suppose h + q*w = 28, 0 = 5*h - 6*w + 2*w + 5. Solve -2*j + h*i - 1 = -3, -4*j + 24 = 4*i for j. 4 Let m be ((-10)/6)/((-786)/4716). Suppose -4*l - 7*f + 37 = -2*f, 3*l - 19 = -2*f. Solve m = b - 0*b - 2*s, 0 = l*b + 3*s - 3 for b. 4 Let p(t) = -45*t**2 - 85*t + 12. Let c be p(-2). Let q(o) = -2*o - 5. Let s be q(-5). Solve -5*h = -c*r + 1 - 11, 0 = r + s*h - 25 for r. 5 Suppose 0 = 2*i + 8, 8*j - 6*j - 12 = 2*i. Suppose -4*z - 75 = z. Let d be z/(-10)*j + -1. Solve 10 = 3*m - 8*m, d*m = -5*f + 16 for f. 4 Suppose 18 = -d + 4*d. Let l be (-80)/(-36) + d/(-27). Suppose l*p = -124 + 128. Solve -i + p*g = 0, 0*i = -i + 4*g - 4 for i. 4 Let d be (28 - 29 - (-12)/9)*33. Solve -i = 4*z + d, 4*i + 25 = 9*i for z. -4 Suppose 143 = -n + 67. Let u be 314/4 + (-1)/2. Let d = u + n. Solve -5*f + 23 = -d*z, 4*f - 17 = 2*z + z for z. 1 Suppose -21*o + 3*a = -18*o + 645, 5*a = 15. Let m = o + 233. Solve m = 4*y - n, 15 = 3*y - y - 5*n for y. 5 Let s(n) = 20*n + 167. Let p be s(-7). Suppose -r - 5*m = -17, 29*r + m = p*r + 7. Solve -10 = y - 5*b, r*b - b = y + 2 for y. 0 Let m(j) = -4*j**2 + 43*j - 48. Let z(u) = 2*u**2 - 22*u + 24. Let f(t) = 2*m(t) + 5*z(t). Let v be f(11). Solve -v*c = 10, 0*c + 2*c + 10 = -d for d. 0 Suppose -17 = -5*t - 4*b, 3*b - 5 = -3*t - 2*b. Suppose 0 = t*c - 7*c + 188. Let y = c + -89. Solve -7*k - 23 = -3*h - 3*k, 3*h - y*k = 25 for h. 5 Let t be (8 - 5) + 29 + (-3 - -2). Suppose -t + 31 = -d. Let q be (-6 + 8)/((-2)/(-6)). Solve 2*i = -m, -q*m + m + 4*i + 28 = d for m. 4 Let j(f) = -159*f + 160. Let c be j(1). Solve -l - 45*n + c = -43*n, -2*l = -n + 13 for l. -5 Let h = 839 - 537. Suppose h = 7*b + 274. Solve -3*i - 16 = 4*w, 4*w - 8*i - b = -6*i for w. -1 Let r be ((-2 + 0)*1)/(2056/(-3084)). Solve -5*y - 10 = r*w, 9*w + 4*y = 5*w - 8 for w. 0 Let l = -36 + -18. Let x = 56 + l. Let m be (-2 - (3*-5)/3) + x. Solve -5*p - 2*i + 15 = 0, 2*p + m*i - 28 = -p for p. 1 Suppose -3*t - 19*h + 20 = -15*h, -4*h + 20 = t. Suppose t = 9*y - 16 - 20. Solve -4*i + 3 - y = f, f + 9 = 4*i for i. 1 Suppose 225*i - 207*i - 77 + 23 = 0. Solve -i = -2*p + 22*u - 21*u, 5*u - 25 = 0 for p. 4 Suppose 5*y + 10 = -4*b, 3*y + 18 = 3*b - 15. Solve -b*k + 5*c - 30 = 0, -11*c + 10*c = -3*k - 12 for k. -3 Suppose 865*z - 904*z = -156. Solve -z*t + 16 = -2*v, 4*v + t = 2*v + 9 for v. 2 Let q(a) = 5*a - 40. Let j(x) = 3*x - 27. Let m(u) = -7*j(u) + 5*q(u). Let i be m(4). Let c be i/40*4*6*2. Solve -2*p = -6*p + 5*w - 31, -2*w = -c for p. -4 Let k be 516/12 - (3 - -8). Solve s + k = 5*o + 31, -5*o = -3*s - 3 for s. -1 Suppose 0 = 6*n - 640 - 218. Let t = -140 + n. Solve -2*w + 2*r + 7 = -t*r, -w - 1 = -r for w. -4 Let l(p) = -p**3 + 26*p**2 - 70*p + 1130. Let u be l(25). Solve w - 12 = -3*w + u*c, 0 = 3*c for w. 3 Suppose -55 - 92 = -21*m. Suppose -17*a = -m*a - 30. Solve 0 = -a*c - 2*o + 11, 6 = -3*o - 0*o for c. 5 Suppose 0 = -d + 2*q - 5, q = 3*d - 2 - 3. Solve -3*i + 6 = 3*k, 4*i - d*i - 2 = -4*k for k. 0 Suppose 125 - 108 = -2*z + 5*c, -4*c + 16 = -z. Solve 4*k + 8*w - 8 = z*w, 2*k = w - 8 for k. -2 Let c(a) = -5*a - 2. Let x be c(7). Let i = x + -131. Let f be i/(-78) - (-4)/(-26). Solve 2*y - 2*h = -f*y - 20, -2*h = 0 for y. -5 Let c be (-64)/10*(-65)/26. Solve -
{ "pile_set_name": "DM Mathematics" }
replacement from {k: 3, w: 9}. Give prob of sequence www. 21/55 Three letters picked without replacement from zoozzoozzzoooz. Give prob of sequence ooz. 7/52 Calculate prob of sequence pp when two letters picked without replacement from ppphrpprhuprhp. 3/13 Four letters picked without replacement from xhhvhhyhhhhxxxhvh. Give prob of sequence xxxh. 1/238 Four letters picked without replacement from {y: 2, i: 1, p: 10, s: 4}. What is prob of sequence spys? 1/238 Three letters picked without replacement from {u: 4, j: 2}. What is prob of sequence juu? 1/5 Three letters picked without replacement from {b: 7, h: 7, e: 5}. What is prob of sequence bbe? 35/969 What is prob of sequence cy when two letters picked without replacement from yfqgcqfff? 1/72 Two letters picked without replacement from {j: 2, x: 1, u: 1, t: 5, o: 3}. Give prob of sequence xj. 1/66 Four letters picked without replacement from neeeneeeeeeee. What is prob of sequence nene? 1/78 Calculate prob of sequence rrw when three letters picked without replacement from hwhwrhhwrrhhrrhhrr. 7/272 What is prob of sequence nwl when three letters picked without replacement from fwfnlwlwfk? 1/120 What is prob of sequence gwww when four letters picked without replacement from wwggwgttw? 1/42 Calculate prob of sequence ws when two letters picked without replacement from jjwtutjjjs. 1/90 What is prob of sequence pn when two letters picked without replacement from {n: 3, p: 3}? 3/10 What is prob of sequence gbss when four letters picked without replacement from {h: 3, v: 3, w: 1, s: 1, g: 3, b: 3}? 0 What is prob of sequence hw when two letters picked without replacement from weehkkeefwk? 1/55 Calculate prob of sequence vo when two letters picked without replacement from vvvxo. 3/20 Four letters picked without replacement from jxccxgxxx. What is prob of sequence cjxc? 5/1512 Three letters picked without replacement from ozoowooozwzo. Give prob of sequence wzw. 1/220 What is prob of sequence kww when three letters picked without replacement from {w: 4, k: 3}? 6/35 Calculate prob of sequence uum when three letters picked without replacement from ummumumumm. 1/10 Three letters picked without replacement from nnceoxeenx. What is prob of sequence nnx? 1/60 Three letters picked without replacement from {z: 5, i: 7}. Give prob of sequence iii. 7/44 What is prob of sequence zuu when three letters picked without replacement from {u: 3, z: 3}? 3/20 Three letters picked without replacement from iliiiilljlijl. Give prob of sequence iji. 5/143 Three letters picked without replacement from nyeykck. Give prob of sequence ycn. 1/105 What is prob of sequence hhpp when four letters picked without replacement from nnpnnnnnhhppnhnphhn? 5/1938 Two letters picked without replacement from bqqqqbqqqqq. What is prob of sequence qb? 9/55 Two letters picked without replacement from phhhhhhhph. What is prob of sequence ph? 8/45 Three letters picked without replacement from pthmg. Give prob of sequence pmg. 1/60 Two letters picked without replacement from {h: 5, z: 2, m: 5, y: 1, u: 6}. Give prob of sequence uy. 1/57 Calculate prob of sequence jmn when three letters picked without replacement from tjfmmfna. 1/168 Three letters picked without replacement from {l: 1, f: 1, d: 1, o: 2, z: 1, q: 1}. Give prob of sequence ofd. 1/105 What is prob of sequence hd when two letters picked without replacement from {w: 6, u: 2, h: 3, d: 2}? 1/26 Four letters picked without replacement from irmlc. Give prob of sequence lirm. 1/120 Two letters picked without replacement from {r: 6, k: 13}. What is prob of sequence rk? 13/57 What is prob of sequence yy when two letters picked without replacement from {y: 11, p: 1}? 5/6 Two letters picked without replacement from {n: 1, o: 1, b: 2, m: 1, a: 2, x: 1}. Give prob of sequence xn. 1/56 Two letters picked without replacement from {s: 2, z: 7, v: 1}. What is prob of sequence sv? 1/45 Three letters picked without replacement from przezpvrrzrpz. Give prob of sequence ppv. 1/286 Three letters picked without replacement from zuwuwcluwzilziu. What is prob of sequence iwu? 4/455 Three letters picked without replacement from {t: 5, f: 5}. Give prob of sequence ftt. 5/36 Three letters picked without replacement from {p: 2, e: 5, c: 3, z: 7, k: 3}. Give prob of sequence ppe. 1/684 What is prob of sequence mw when two letters picked without replacement from wwwllwwllwwwwwlmll? 5/153 What is prob of sequence jqqg when four letters picked without replacement from {j: 2, g: 1, q: 2}? 1/30 Three letters picked without replacement from {n: 1, p: 8, a: 1, h: 6}. What is prob of sequence app? 1/60 Calculate prob of sequence saq when three letters picked without replacement from jjaojojqjoojsqoj. 1/1680 Four letters picked without replacement from wjjwjeeeewjjj. What is prob of sequence eejw? 9/715 Calculate prob of sequence lbl when three letters picked without replacement from llllllllblllllllbl. 5/51 Two letters picked without replacement from {g: 5, e: 4, p: 1, q: 1}. What is prob of sequence qe? 2/55 What is prob of sequence ddk when three letters picked without replacement from dtdpptptddkdtpdpddt? 28/2907 Four letters picked without replacement from lccmlmtomfmfom. Give prob of sequence tffm. 5/12012 Calculate prob of sequence xff when three letters picked without replacement from {n: 3, a: 4, f: 2, x: 1, j: 1}. 1/495 Calculate prob of sequence ti when two letters picked without replacement from {i: 8, t: 2, d: 2, z: 1}. 4/39 Three letters picked without replacement from rynppfmfr. What is prob of sequence mfr? 1/126 Calculate prob of sequence fll when three letters picked without replacement from {l: 3, f: 4}. 4/35 What is prob of sequence gnc when three letters picked without replacement from bynyncg? 1/105 Two letters picked without replacement from phhh. Give prob of sequence hp. 1/4 Two letters picked without replacement from {j: 1, u: 6, d: 3, l: 3}. Give prob of sequence ud. 3/26 Calculate prob of sequence yaw when three letters picked without replacement from fayssfswssasswwwwww. 7/2907 Calculate prob of sequence yysc when four letters picked without replacement from cyxysfysyy. 1/126 Two letters picked without replacement from hhuzvfum. What is prob of sequence uh? 1/14 Calculate prob of sequence hhhu when four letters picked without replacement from {u: 9, h: 3}. 1/220 What is prob of sequence xy when two letters picked without replacement from mxyxziimxii? 3/110 Four letters picked without replacement from {i: 1, b: 19}. What is prob of sequence bibi? 0 What is prob of sequence pc when two letters picked without replacement from {k: 2, p: 1, c: 4, h: 1}? 1/14 What is prob of sequence gqv when three letters picked without replacement from gsqgxvq? 2/105 Three letters picked without replacement from zyy. What is prob of sequence yzy? 1/3 Two letters picked without replacement from yqyoqqi. What is prob of sequence oq? 1/14 Two letters picked without replacement from boblouq. Give prob of sequence ub. 1/21 Two letters picked without replacement from {j: 4, g: 1, h: 5, i: 3}. What is prob of sequence gj? 1/39 Calculate prob of sequence tt when two letters picked without replacement from {t: 7, x: 4, w: 7}. 7/51 Four letters picked without replacement from {s: 3, b: 3, x: 5, y: 1}. Give prob of sequence sbbs. 1/330 What is prob of sequence dda when three letters picked without replacement from {u: 2, d: 2, t: 5, a: 8, j: 1}? 1/306 Four letters picked without replacement from {x: 4, o: 3, y: 2}. Give prob of sequence yyoo. 1/252 Calculate prob of sequence woo when three letters picked without replacement from wcctoowttpocowtw. 1/70 Calculate prob of sequence rgvh when four letters picked without replacement from rrvgrheege. 1/840 Two letters picked without replacement from lttpttllxlltlttttll. What is prob of sequence ll? 28/171 Calculate prob of sequence it when two letters picked without replacement from {t: 5, n: 1, i: 5}. 5/22 Four letters picked without replacement from fvuvjfffujffjjfujfff. What is prob of sequence vuvf? 1/1938 What is prob of sequence rtl when three letters picked without replacement from {l: 1, r: 2, i: 1, t: 2, o: 1, x: 1}? 1/84 What is prob of sequence jjhi when four lette
{ "pile_set_name": "DM Mathematics" }
70)) - -3. Let z = -3.52 + -0.48. Put z, 1/7, v in increasing order. z, v, 1/7 Suppose 12 = 5*v + 4*p - 2*p, -3*p + 11 = 4*v. Let r = -11/28 + 13/140. Let l = 17/40 + r. Sort l, v, 3 in decreasing order. 3, v, l Let h = -1236 + 1231. Sort -100, h, 2/15 in descending order. 2/15, h, -100 Let r be (3 + -2)/(7/161). Let l be (-18)/10 - (-26 + r). Sort -0.07, -1/6, l in descending order. l, -0.07, -1/6 Let q = 7 - 6.6. Let x = 0.3 - q. Let m = x - 0.9. Put 0.1, m, 5 in ascending order. m, 0.1, 5 Suppose d + 2*y + 4 = 0, 4 = -20*d + 23*d + 2*y. Put d, -2, -7 in decreasing order. d, -2, -7 Suppose 9 = 2*x - g + 8, 0 = 5*x + 4*g - 22. Suppose 4*j + 3*h = -h, 20 = 4*h. Put -4, x, j in descending order. x, -4, j Let o = -258 + 253. Suppose -4 + 7 = -3*l. Let x be 1 + (-4)/(-6)*3. Put l, o, x in descending order. x, l, o Let y(q) = -27*q + 76. Let u be y(3). Sort 9, 1, u, -0.08 in decreasing order. 9, 1, -0.08, u Suppose -2*v - 3*j = 1, -20*v + 4*j - 32 = -16*v. Sort 94, 0, v, -2 in increasing order. v, -2, 0, 94 Let g be (-75)/(-50) - (-6)/4. Sort g, 9, -5, 4 in decreasing order. 9, 4, g, -5 Let p(k) = k**2 + 8*k + 12. Let l be p(-8). Suppose 3*u + u = l. Sort 1, u, -4 in descending order. u, 1, -4 Suppose -112 = 31*b + 43. Put b, 4, -7 in increasing order. -7, b, 4 Let n = -387 - -383. Sort -1, -108, n. -108, n, -1 Suppose -27*r + 12 = -30*r. Suppose 19 = -3*u + 2*c, 4*u = -3*c - 2 - 12. Sort u, r, -2 in descending order. -2, r, u Let u = -37 - -38. Sort -1, -0.5, -3/4, u in increasing order. -1, -3/4, -0.5, u Suppose 2*w = 2*j - 10, 2*w = 3*j - 3 - 2. Let u(i) = -i**2 - 11*i - 14. Let b be u(w). Sort -3, b, 4, 1 in decreasing order. 4, 1, -3, b Let n = -81 - -85. Suppose -2*l + 4 = -2*v - 0, -8 = -v - n*l. Let o be (0 - 5)*8/(-10). Sort -3, o, v. -3, v, o Let k = 174 - 173.923. Let t = 0.423 + k. Sort -2/9, 1/5, t, 1/6 in descending order. t, 1/5, 1/6, -2/9 Suppose -32 = 3*s - 5*s + 2*a, 0 = -2*s - 4*a + 38. Let w = s + -13. Sort 1/9, w, 0.5. 1/9, 0.5, w Let t be 2/3 + (-1)/(-3). Let y be 1/((2/(-10))/(16/20)). Sort y, t, -5 in increasing order. -5, y, t Suppose 2*l + 120 = -3*l. Let f = l - -12. Let s = 10 + f. Sort -1, s, 4. s, -1, 4 Suppose 0 = -3*c - 12, -17*c + 6 = -o - 18*c. Put o, -17, -5 in descending order. o, -5, -17 Let n = -0.1 - 0. Let h = 1775 - 1757. Sort n, 3, h. n, 3, h Let g = -1.94 - -0.94. Put 4/15, g, -2 in decreasing order. 4/15, g, -2 Let h be 3*-1 - (-20)/(2 - 0). Suppose 12 = -h*j + 10*j. Sort -26, -3, j. -26, -3, j Let k(u) = -2*u**2 - 29*u - 10. Let f be k(-14). Put 276, -4, f in descending order. 276, f, -4 Let p(q) = -q**2 - 5*q + 1. Let v be p(-5). Let u = -38 + 81. Let z = u + -44. Sort z, 2, v in increasing order. z, v, 2 Let y be ((-106)/6)/((-7)/21). Let f = y + -28. Suppose -7*o + 2*o - f = 0. Put o, 0.2, -0.3 in ascending order. o, -0.3, 0.2 Let c = 217.1 + -217. Sort c, -1.8, 4 in descending order. 4, c, -1.8 Let p(y) = -y**3 - 3*y**2 + 3*y - 1. Let j be p(-4). Put j, -2, 116 in increasing order. -2, j, 116 Let t(h) = h**2 + 22*h + 73. Let b be t(-4). Sort 2, b, -12. -12, b, 2 Suppose 882*i - 888*i - 24 = 0. Let d be (-14)/8 - 1/4. Put i, -3, d in descending order. d, -3, i Let x = 270 + -275. Let r = -3 + 1. Sort -3, r, x, 0.5 in ascending order. x, -3, r, 0.5 Let v = -23 - -20. Let j = 9.1 + -9. Sort v, -1/4, j in ascending order. v, -1/4, j Let d be (-506886)/117*2/(-4). Let g = d + -6331/3. Let p = -56 + g. Sort -2, p, -3 in descending order. p, -2, -3 Suppose 2*w + 4 = 5*d, 0 = -9*w + 4*w - 4*d + 23. Put -1, w, -4 in descending order. w, -1, -4 Let q be (-109)/(-8) - 16 - 6/(-16). Put -3, 1, 2, q in ascending order. -3, q, 1, 2 Let n(u) = u + 6. Let c be n(-3). Suppose 16 = -c*d + 2*d + 3*h, 20 = 5*h. Suppose 3*k + 49 = 2*g, 5*g - 482*k + 479*k = 91. Sort g, -3, d. d, -3, g Let x = -2.137 - 2.859. Let u = -0.004 + x. Sort -1, 0.1, 12, u. u, -1, 0.1, 12 Let i = 0.42 + -0.02. Let n be (2 + -4 - -3) + 1. Suppose -21 = j + 4*t, -2*j + t + n = j. Sort i, j, 1/6 in ascending order. j, 1/6, i Suppose 3*w - 4 = 5*u - 38, 9 = -3*w. Let v = -589 + 586. Sort 2/3, u, v, 1/5 in decreasing order. u, 2/3, 1/5, v Let d be (2/8)/((-9)/(-6)). Let g = -0.29 + 0.19. Sort g, d, -3/4 in descending order. d, g, -3/4 Let w(s) = s + 8. Let q be w(-6). Suppose -2 - q = -4*g. Suppose -7*c - 5*b = -5*c + 5, -4*b = 12. Put g, -4, c in decreasing order. c, g, -4 Let l = 2 - -3. Suppose 2*x - 8 = -f, 5*f + 3 = l*x - 2. Suppose 3 = -x*h - 12. Put 5, 4, h in ascending order. h, 4, 5 Let k be (378/(-45))/(2/(-10)). Put k, -4, 1 in descending order. k, 1, -4 Let j = 4.59 + -2.59. Sort j, -2/7, -26 in increasing order. -26, -2/7, j Let k = -14/209 - -3/19. Let n = -10.5 - -10. Put -0.3, -1/4, n, k in increasing order. n, -0.3, -1/4, k Let q = 1.2 + -1.12. Let s = 11.58 + -11. Let f = s - q. Sort 1, f, -5 in descending order. 1, f, -5 Let w = 348 - 347.6. Put w, 0.1, -18, 1 in decreasing order. 1, w, 0.1, -18 Suppose 0 = -21*p - 15*p + 11*p. Put p, -1, -2, 2 in increasing order. -2, -1, p, 2 Suppose -2*d = -3*p - 2*p - 12, -4*p - 5*d = 3. Sort 8, 1/2, 5, p in ascending order. p, 1/2, 5, 8 Let o be (-135)/9 + 40/8. Put 4, 0, -4, o in decreasing order. 4, 0, -4, o Let p = 64.4 - 67.5. Sort -2/9, 2/11, p in decreasing order. 2/11, -2/9, p Let t be (3 - 2)*(4 + 1). Let i = 38 + -32. Let d = i + -6. Sort 3/5, t, d in decreasing order. t, 3/5, d Suppose -40 = -18*b + 10*b. Sort -5, -4, -20, b in increasing order. -20, -5, -4, b Suppose -6*c + 20 = -c + 4*d, 4*c + 20 = 4*d. Sort c, 3, -4 in increasing order. -4, c, 3 Suppose -24*a = -21*a + 3. Sort -4, 5, a, 3. -4, a, 3, 5 Let t = -66.944 + 63. Let z = t - 0.056. Put 2, z, 3, 0.5 in decreasing order. 3, 2, 0.5, z Suppose -3*u - 11 = 5*f + 3, 0 = 4*u - 2*f - 16. Let b(o) = -o**3 + 4*o**2 - 5*o + 2. Let i be b(3). Sort u, -5, i in increasing order. -5, i, u Let j = 13 - 14. Suppose 13*s = 8*s - 15. Sort j, 5, s in descending order. 5, j, s Suppose 0 = 2*v - 5*i - 1 + 22, 3*v + i = 11. Let c = v + 2. Let g be (2/c)/(7/(-14)). Sort -6, 2, g. -6, g, 2 Suppose a + 7*n - 8*n + 4 = 0, 3*n - 9 = 2*a. Sort a, 4, -10/23, -3/7 in increasing order. a, -10/23, -3/7, 4 Suppose 4*q + 4 = 24. Suppose 74 - 29 = 3*m. Suppose 13*n - 2 = m*n. Put n, q, 1 in descending order. q, 1, n Let q(r) = 10 - 13*r - 15 + r**3 + 13 + 8*r**2 - 2*r**3. Let h be q(6). Suppose 3*p + 2*j - 7 = 0, p - 3*j + 3 = -2. Sort h, p, -3. -3, p, h Let a(h) = h**3 - 23*h**2 + 4. Let m be a(23). Put -1, m, 0 in decreasing order. m, 0, -1 Let t(j) = -5*j**2 - 16*j + 2. Let o be t(0). Put 2/69, 4/7, -3, o in ascending order. -3, 2/69, 4/7, o Let j be 418/77 + (-14 - -9). Put -1/2, -0.3, -1/5, j in descending order. j, -1/5, -0.3, -1/2 Suppose 0 = -2*o - 4*t - 3 - 1, 4*o + 8 = -3*t. Let j be ((-9)/(-24) - o) + -2. Sort j, 0, -1 in decreasing order. j, 0, -1 Suppose -4*t - 6 = 2. Let n be (3/6)/(t/(-20)). Suppose 4*j + 36 = 3*d, j = 2*j + 3. Sort d, n, 1. 1, n, d Let p = -78.02 - -11.92. Let c = 67 + p. Sort c, -2, 1/3. -2, 1/3, c Let r(d) = -d**2 - 4*d - 2. Let p be r(-4). Suppose f - 22 = 3*x + 6*f, -x - 4*f - 19 = 0. Put x, p, 5 in increasing order. p, x, 5 Let l(d) = 2*d**3 - 12*d**2 - 5*d - 10. Let r be l(7). Let s = r + -54. Let o = -178/5 + 36. Put s, o, 1 in descending order. 1, o, s Let q(i) = -i**3 - 10*i**2 - 16*i + 5. Let x be q(-8). Let b = 1.25 - 0.95. Sort 0, x, b in ascending order. 0, b, x Suppose -b = -5*b - 8. Let v = -276 - -277. Put 12, b, v, 0 in descending order. 12, v, 0, b Let b = -705 + 699. Put 42, -2/13, b in ascending order. b, -2/13, 42 Suppose 3*o = -7 - 11. Let y be o + ((-2)/1 - -5). Let b be (-117)/27 - 2/(-6). Put y, -8, b in ascending order. -8, b, y Suppose -103*m = 68*m + 1026. Put m, 1/28, -3 in increasing order. m, -3, 1/28 Let u = 63 + -189. Let h = u - -126. Let f = -0.3 - 0.2. Sort -2/23, f, h. f, -2/23, h Let c(k) = k**3 - 5*k**2. Let g be c(5). Suppose -2 = 5*l - 4*t - 11, 5*l - 41 = -4*t. Put l, g, -4, 2 in descending order. l, 2, g, -4 Let k = 1292/3255 - -2/651. Sort -5, 16, k in descending order. 16, k, -5 Let i = -67.5 - -67. Put i, 4, -0.18, 5 in decreasing order. 5, 4, -0.18, i Let o be (1 - -1) + (-1)/1. Let z(p) = p**2 + 36*p - 32. Let m be z(-37). Sort m, -2, o in increasing order. -2, o, m Let z
{ "pile_set_name": "DM Mathematics" }
m(0). -4 Let a(z) be the second derivative of -z**4/24 + 7*z**3/6 - 14*z**2 - 11*z. Let g(s) be the first derivative of a(s). What is g(0)? 7 Let d(q) = -11*q**2 + 44*q**2 - 15*q + 7 - 32*q**2 + 21. Calculate d(12). -8 Let o be 16/4 + (0 - 1). Let j(z) = -z - 8. Let t(k) = 1. Let w = -6 - -7. Let c(i) = o*t(i) + w*j(i). What is c(0)? -5 Let l(q) = -q**2 + q + 1. Let c(g) = 5*g - 24. Let k be c(4). Let f be 16/(-32)*k/(-2). What is l(f)? -1 Let q = -5 - -2. Let j(n) = -9*n**3 - n**2 - 7*n + 4. Let a(g) = -7*g**3 - 5*g + 3. Let v(x) = 5*a(x) - 4*j(x). Determine v(q). -1 Let z(x) be the third derivative of -x**6/120 - 3*x**5/20 - x**4/3 - 2*x**2 - 11*x. What is z(-8)? 0 Let f(h) = 0*h + 17 + 2*h - 3*h + 2*h + 0*h. Determine f(-13). 4 Let n(a) = -a + 4. Suppose 25 = -0*f - 5*f. Let c(q) = -q + 3. Let p(s) = f*n(s) + 6*c(s). Give p(-3). 1 Let w be (-5 - -9)/(0 - 1). Let m = w - -4. Let s(f) = f**2 + f - 7. Calculate s(m). -7 Let w be 5 + -3 + 1 + 0 + 1. Let a(k) = -3 - k**2 + 10 + k - 5. Calculate a(w). -10 Suppose x - 4*x - 4*z = -45, 45 = 3*x - z. Let p(h) = -24 - 23 + 47 - x*h. Calculate p(-1). 15 Let f(c) = 2*c. Let q(g) = -2*g**3 - 7*g**2 + 14*g + 7. Let a(k) = k**3 + 4*k**2 - 7*k - 3. Let w(s) = -5*a(s) - 2*q(s). Let y be w(-7). Determine f(y). 2 Let v(w) = -w**3 - 7*w**2 - 10*w - 6. Let u = -928 + 924. Calculate v(u). -14 Suppose 984 = -21*b + 33*b. Let h = b + -91. Let x(a) = 2*a + 8. Calculate x(h). -10 Let t(u) = -u**2 - 3*u + 1. Suppose 4*d = -2*b - 32, 35 = -5*b + 22*d - 23*d. Give t(b). -17 Let n(r) = -10*r**3 - 17*r**2 + 10*r + 191. Let m(t) = 3*t**3 + 5*t**2 - 3*t - 64. Let j(u) = -7*m(u) - 2*n(u). What is j(0)? 66 Suppose -10*x + 5*x - 3*y = -116, 4*y = -12. Let o(a) = a**2 - 25*a - 5. What is o(x)? -5 Let u(v) = -4*v + 16*v**2 + 5 - 8*v**2 + 4*v - v**3 - 2*v**2. Determine u(6). 5 Let k(i) be the first derivative of -i**4/4 + 2*i**3/3 + 2*i + 55. Calculate k(4). -30 Let x(u) = -2*u - 9. Let y(t) = t + 4. Let v(z) = -4*x(z) - 9*y(z). Suppose 778 - 544 = 26*k. What is v(k)? -9 Let i(b) = b**3 - 2*b + 2. Let c be (3 + (-40)/15)/(1/12). Suppose w - 3 = -4*m + 8, -m - c = -2*w. Calculate i(m). 6 Suppose -19*n = -30*n - 121. Let s(x) = x + 9. Determine s(n). -2 Let f = -289 - -287. Let m(n) = n + 9. Determine m(f). 7 Let f(v) = -4*v + 9. Let s(k) = -1. Let w(r) = f(r) + 4*s(r). Let l(q) = -4*q + 5. Let x(a) = 2*l(a) - 3*w(a). Determine x(4). 11 Let f(b) = b**3 - b**2 + 3. Let z be f(0). Let d(o) = -6*o**2 - 4*o**3 - 6 - 4 + z*o**3 - o - o**2. Let p be 8/12*(-21)/2. What is d(p)? -3 Suppose -5*p = 283 + 42. Let z = p + 72. Let o(m) = -2*m + 6. What is o(z)? -8 Let l = 16 + -108. Let t = l - -86. Let z(w) = -w**3 - 5*w**2 + 7*w + 1. Calculate z(t). -5 Suppose r = -0*r + 4. Let h = r + -5. Let y(d) be the first derivative of 13*d**2/2 - 6. Calculate y(h). -13 Let c(q) = 25*q**2 - 11*q - 9. Let g(x) = -9*x**2 + 4*x + 3. Let d(p) = -4*c(p) - 11*g(p). Determine d(-3). -6 Let l(q) = 3 - 6*q - 6*q - 6*q + 11*q - 3*q**2 + 4*q**2. Determine l(7). 3 Let j(y) = y**2 + 8*y - 17. Suppose 31*p - 41*p - 90 = 0. Give j(p). -8 Let i(c) be the first derivative of c**3/3 + 7*c**2/2 - 5*c - 4. Suppose 0 = -o - 5*d - 6 - 10, -o + 3*d = 0. Give i(o). -11 Let g(u) = -u**3 - 11*u**2 - 2*u + 4. Let o(q) = -q**2 + 1. Let f(c) = g(c) - 5*o(c). What is f(-6)? 11 Let l(b) be the first derivative of -b**3/3 + 4*b**2 + b + 3. Let a be l(6). Let j = 12 - a. Let r(k) = 2*k. What is r(j)? -2 Let f(t) = t. Let k(i) = -14*i + 1. Let p(z) = 6*f(z) + k(z). Suppose 0 = -d + 2. Suppose -2*u + 4 = d*u. Give p(u). -7 Let t(g) be the first derivative of -g**4/4 - 2*g**3/3 + g**2/2 - 3*g - 336. Let v = 3 + -1. Suppose 0 = v*s + 3 + 3. Determine t(s). 3 Let f(c) = -15*c - 48. Let a(u) = 22*u + 67. Let h(r) = -5*a(r) - 7*f(r). Let l = -3 + -1. Let p be (-3)/9 - l/(-6). Calculate h(p). 6 Suppose u + 2 = -s, -2*s + 3*u + 1 = 20. Let t(f) be the second derivative of f**4/12 + 2*f**3/3 - f**2/2 + f - 3. What is t(s)? 4 Suppose -c + 29 - 31 = 0. Let z(u) = -2*u - 1. Let b(f) = 8*f + 3. Let k(g) = c*b(g) - 9*z(g). Determine k(-5). -7 Let d = -2536 + 2536. Let p(s) = -s**2 + 4*s - 1. Calculate p(d). -1 Let p(x) = 10*x**2 - 19*x + 7. Let k(u) = u**2 - 4*u + 2. Let j(v) = 5*k(v) - p(v). Give j(-4). -73 Let o(q) = q**3 - 4*q**2 - q + 2. Let h(a) = 63*a**2 + a + 0*a**3 - 4*a**3 - 9 - 47*a**2 + 4*a. Let p(y) = 2*h(y) + 9*o(y). Determine p(2). -6 Let m(v) be the second derivative of 0 + 1/6*v**4 - 1/3*v**3 + 1/2*v**2 - v + 9/20*v**5. Determine m(1). 10 Suppose n + 7 = 4*c, 19*n - 4*c + 33 = 20*n. Let p(z) = -z - 18. Give p(n). -31 Suppose y + 3 - 5 = 0. Let l(s) = -9*s**2 + 8*s**y - 1 - 4 + 6*s. Suppose 5*x + 4*c + 7 - 20 = 0, 3*x - 3 = -4*c. Give l(x). 0 Let i = 2 - 0. Suppose 3*k - 2*j - 17 = 0, 6*k - 24 = i*k + 4*j. Let f(s) = -27 - 6 + 14 + 14 + 2*s. Determine f(k). 5 Let h(m) = -5*m**2 + 6*m - 5. Let o(g) = -g**2 + g - 1. Let l(t) = h(t) - 6*o(t). Let v(b) = -2*b**2 - 7*b + 3. Let q(y) = 3*l(y) + v(y). Calculate q(4). -6 Let v be ((-2)/6)/((-1)/6). Let j(t) = t + v + 8 + 0*t + 3*t**3 - 9. Let u = -13 + 12. Give j(u). -3 Let z(q) be the first derivative of 4*q**2 + 3*q - 4. Suppose 13*y = -4 - 35. What is z(y)? -21 Let b(g) = -11*g**3 - 13*g - 4. Let v(j) = 2*j**3 + j**2 + 2*j + 1. Let f(x) = b(x) + 5*v(x). Let k = -5 + 9. What is f(k)? 5 Let u = 2690 + -2688. Let f(t) = -1 + 3*t + 0*t - t**2 + 2. Determine f(u). 3 Let w(g) = g**2 - 3*g - 1. Let b be (10/15)/(4/42). Let f = b + -13. Let s be ((-6)/(-9))/(f/(-27)). Give w(s). -1 Let v(p) = -p**3 - 8*p**2 - 11. Suppose -4*y + b - 32 = 0, 2*y = 3*b - 26 + 10. What is v(y)? -11 Let m(h) = 14*h + 41. Let v(x) = 5*x + 14. Let b(c) = 3*m(c) - 8*v(c). Let a be b(-8). Let t(r) = -r**3 - 6*r**2 - 5*r + 3. What is t(a)? 3 Suppose 0 = 53*h + 11*h + 320. Let q(l) = 2*l + 15. Determine q(h). 5 Let u(j) = -j**2 + 2*j + 4. Let m be u(3). Let p(l) = -l**2 + 43*l - 24*l - 7*l**3 + 2*l**2 - 20*l. Give p(m). -7 Let a = 320 + -325. Let y(m) = -2*m**2 - 10*m + 3. What is y(a)? 3 Suppose 4*h - 26 = -2*b - 0*h, 5*b - 10 = h. Let f(q) = -q**3 + 4*q**2 + 5. Let m be f(4). Let y(g) = g**2 - 1 - g - m*g**2 - g**b + 5*g**2. What is y(0)? -1 Let h be (6 - (-140)/(-24))*3. Let k(z) be the first derivative of 4 + 7*z - h*z**2. Calculate k(6). 1 Let g(i) be the second derivative of i**3/6 + 5*i**2/2 - 10*i. Suppose 4*a + 8 + 12 = -y, 2*y - 20 = 4*a. Determine g(y). 5 Suppose 0 = 14*b - 12*b + 12. Let h(c) = 11*c**2 - 5*c + 5. Let d(o) = -9*o**2 + 5*o - 4. Let v(y) = b*d(y) - 5*h(y). Determine v(-4). 3 Let x(v) = 3*v - 11 + 32 - 6 - 26*v**2 - 7 - 6. Give x(-1). -27 Suppose 5*u = 7*u - 5*j - 8, 16 = -2*u - j. Let t(n) = n**2 + 3*n - 8. What is t(u)? 10 Let m = -5633 + 5625. Let i(j) be the second derivative of -j**3/6 - 3*j**2 - j. Calculate i(m). 2 Let b(h) = 16*h**3 + 30*h**2 - 52*h + 45. Let a(r) = -3*r**3 - 6*r**2 + 10*r - 9. Let q(z) = 11*a(z) + 2*b(z). Give q(-7). -2 Let l(x) = x**3 - 9*x**2 - 11*x + 12. Let w be (-8)/76 + 3456/342. What is l(w)? 2 Let w(v) = -v + 4. Let z be (9*6/45)/(42/140). Calculate w(z). 0 Suppose -2*g = -2, -s = -2*s + 3*g + 5. Let t(c) = -4*c + 10. Determine t(s). -22 Let g be (-3 + (-2 - -4))/(51/(-357)). Let w(f) = -f**2 + 7*f - 5. Give w(g). -5 Let d = 10 - 17. Let w(r) be the third derivative of r**7/2520 + r**6/120 + 11*r**5/60 - 7*r**2. Let y(h) be the third derivative of w(h). Calculate y(d). -8 Let n(a) = a**3 - 2*a**2 + 6*a + 3. Let l(b) = b**2 + b - 1. Let r(c) = -6*l(c) + n(c). Calculate r(8). 9 Let a(f) = f**2 - f**3 - 3 + 1 + 0. Let r(n) = -n**2 - 17*n - 28. Let o be r(-15). Suppose 5*w = -3*x + o*x - 25, -3*x - 4*w - 20 = 0. Determine a(x). -2 Let q(t) = 9 + 2*t**3 - 12*t + 7*t**2 - 2*t**2 + 35*t + 12. Let v(w) = w**3 + 3*w**2 + 11*w + 10. Let c(f) = -4*q(f) + 9*v(f). Calculate c(-6). 0 Let w(q) = 20*q + 95. Let u be w(-5). Let p(r) = r**3 + 4*r**2 - 5*r + 4. Determine p(u). 4 Let p(n) = -n**2 + 3*n + 5. Suppose 13*b - 8 = 11*b. Suppose -2*c = i - 6, -c + 0*c - 4*i - b = 0. Give p(c). 1 Let s(g) = -g**2 - 2*g - 19 + 42 - 20. Suppose 3*m + 5*c = 9, -7*c = -2*c. Suppose 0 = -m*b - 2*r + 19, -b = -3*b + 5*r - 19. Give s(b). -12 Let b(f) = 4*f**3 - f**2 + 3*f + 8. Let w(i) = -7*i**3 + 3*i**2 - 6*i - 14. Let z(p) = 5*b(p) + 3*w(p).
{ "pile_set_name": "DM Mathematics" }
2*c. Suppose c*s = -s. Suppose -4*v - 16 = s, -3*j + 0*v = 2*v - 28. What is the units digit of j? 2 Let d = -12 + 11. What is the units digit of 40/25*(14 - d)? 4 Suppose -20 = -4*u - 5*y + 14, 4*u + 4*y = 32. Let x = u + -8. What is the units digit of 15/x*12/(-10)? 9 Let k(u) = u**2 + 8*u - 4. Let x = -3 - -7. Let o(c) = -1. Let q(i) = x*o(i) - k(i). What is the units digit of q(-7)? 7 Suppose -3*s + s = 38. Let r = s + 33. What is the tens digit of r? 1 Suppose 6*w = 2*w + 152. What is the tens digit of (w/(-8))/(4/(-16))? 1 Suppose 3*y - 2*y = -48. Let r = y - -79. What is the tens digit of r? 3 Let z(c) = c**2 - 3*c + 5. Let w(b) = -b - 1. Let m(h) = w(h) + z(h). Let o be ((-2)/(-4))/(1/10). What is the units digit of m(o)? 9 Suppose 5*j + 1 = -14. Let u = -3 - j. Suppose 32 = 4*g - 4*z, -g + 0*g + 4*z + 5 = u. What is the units digit of g? 9 Let q be (45/(-10))/((-3)/4). Suppose q = -m + 3*j, 5*j = -4*m + j + 40. What is the units digit of m? 6 Let x be (1 + -4)*(-6)/2. Suppose -2*z = -c - x, c + 4*c = 4*z - 27. What is the units digit of z? 3 What is the tens digit of (3 - 4)/(-1) + 48? 4 Let g(a) = 0*a**3 - 6*a + 4 - 4*a**2 - a**3 - 3*a**2. Let n be g(-6). Suppose w + 0*w - 2 = 3*z, -4*w + 8 = -n*z. What is the units digit of w? 2 Let o be ((-30)/(-18))/((-10)/(-36)). Let b = 28 - o. What is the units digit of b? 2 Let f be 8/20 + (-46)/(-10). Suppose 3 = -4*w - 5*t + 6, 0 = -f*w - 4*t + 15. Suppose w = s - 0. What is the units digit of s? 7 Suppose -4*i - 6 = -3*i. Let w be (-50)/i + 2/(-6). What is the units digit of 2/w*-2*-4? 2 Let l = 389 + -815. What is the tens digit of l/(-24) + 2/8? 1 Let h = 0 + -2. Let x be 1*h*(-6)/4. Suppose -x*k - 2*k + 22 = -2*l, -3*k + 16 = -4*l. What is the units digit of k? 4 Let p be (5 + -2)/(6/4). Suppose -p*g - 2*a + 18 = -4, 5*a = 25. Suppose c - g*c = 5*i + 15, -2*i - 2 = c. What is the units digit of i? 1 Let l = -89 - -151. Suppose -r = -3*k - 26, -k + l = 5*r + k. Suppose -i + 2*n - 3*n + 10 = 0, -3*i + r = -5*n. What is the units digit of i? 8 Suppose -4*b + 85 - 9 = 0. What is the tens digit of b? 1 Let z(f) = -3*f**2 - 2*f**3 + 5 + 4*f**2 + f**3 + 3*f**2. Let m be z(4). Suppose 4*c = 4*b + 4, 2*b + 2*c = 5 + m. What is the units digit of b? 2 Let m = 13 - 19. What is the units digit of (-8)/6*m/2? 4 Let q(x) = 5*x**2 - 3. What is the tens digit of q(-3)? 4 Let b = -7 - -11. Suppose -b*k + 36 = 4*z, -3*k = -2*z - 5 - 7. Let j(v) = v**3 - 5*v**2 - 6*v + 9. What is the units digit of j(k)? 9 Let i be 4/6 - (-2)/(-3). What is the tens digit of i + 46/(1 + 1)? 2 Let b(x) = -x**3 + x**2 + 2*x + 35. What is the units digit of b(0)? 5 What is the hundreds digit of -1 + -2 + -6 + 0 + 183? 1 Let t(d) = -d**3 - 20*d**2 - 18*d + 21. What is the units digit of t(-19)? 2 What is the hundreds digit of 207 - (4 - (8 + -3))? 2 Let q(p) = p**2 + 11*p + 8. Let n be q(-11). What is the tens digit of (-2)/n + 89/4? 2 Suppose 0 = -p - 0 + 28. What is the units digit of p? 8 Let o be 6 + -1 - (0 - 2). Let w(l) = -o*l - 2 - 2*l**2 + 9 + l**3 - 5*l**2 + l**2. What is the units digit of w(7)? 7 Let b = 0 + 4. Suppose 3*o + 0*y - 34 = 2*y, o + b*y = 16. What is the tens digit of o? 1 Suppose 6*m - m - 95 = 0. Suppose -u = -o - m, 0*u - 4*u - 2*o = -52. What is the tens digit of u? 1 Suppose -4*f - 7*w + 26 = -2*w, -5*w = -10. What is the units digit of f? 4 Let l(k) = -k**2. Let p be l(1). Let t be (-1)/(-2 - (p + 0)). Let f = 2 + t. What is the units digit of f? 3 Let v be -4*1/2*-22. Suppose -3*k - k + v = 0. Let n = k - 7. What is the units digit of n? 4 Let p(h) = 28*h. Let q(n) = n**2 + n - 1. Let b be q(-2). Let m be p(b). Let s = m + -16. What is the tens digit of s? 1 Suppose 0*d - 2*d = -m - 10, 5*d + 3*m - 3 = 0. Suppose -2*o = d*o - 60. What is the tens digit of o? 1 Suppose 3*f - q - 28 = 0, q + 0*q + 4 = 0. What is the tens digit of (-20)/(-6)*(7 + f)? 5 Let u be 1/(((-4)/(-10))/2). What is the tens digit of 52/u + (-12)/30? 1 Let z = -40 + 66. Suppose 7*q = 3*a + 3*q - z, -18 = a + 4*q. What is the units digit of a? 2 Let q(s) = 5 + s + 0 + 3. What is the units digit of q(-4)? 4 Let u = 520 - 264. What is the hundreds digit of u? 2 Let i(k) = -32*k + 11. What is the hundreds digit of i(-4)? 1 Let i(t) = -2*t**3 - 4*t**2 - 3. Let r = 2 + -5. What is the units digit of i(r)? 5 Suppose 4*c - 56 = 4*b, 5*c = b + 41 + 17. Let s = 12 - c. What is the units digit of s? 1 Suppose 0 = 34*x - 31*x - 318. What is the tens digit of x? 0 Let n be -2 - 2*(-9 - -2). Suppose 2*t - 2*q = -t + 11, 4*t - 2*q = n. What is the units digit of t/((-1)/2) - -21? 9 Suppose -l + 2*q - 1 = 3, -5*l + 24 = q. Suppose 0*d - l*d - t + 14 = 0, d = -t + 5. Let w(o) = o**2 + 3. What is the tens digit of w(d)? 1 Let u = -6 + 7. What is the tens digit of (45/3)/u + 3? 1 Suppose 0 = 4*o - 0*o - 1120. What is the hundreds digit of o? 2 Let a(y) = y**2 + 4*y - 2. Let s be a(-5). Suppose 0*h = 3*h - k - 15, 18 = s*h - 2*k. Suppose -24 + 4 = -h*x. What is the units digit of x? 5 Let j(k) = -19*k + 43. What is the tens digit of j(-14)? 0 Let g = 67 - 36. What is the tens digit of g? 3 Let s(l) = -l**3 + 4*l**2 + 11*l - 5. What is the units digit of s(5)? 5 Let y be 2 + 11 + -2 + 2. Let p = 32 - y. Let s = p - 5. What is the units digit of s? 4 Suppose l + 5*h = 27, l = -2*l - 3*h + 33. Suppose x - 6 = l. What is the units digit of x? 3 Suppose -4*p = 3*o - 86, 2*o - 67 = -2*p - 7. What is the units digit of o? 4 Let c(x) = -x**2 - 1. Let v(d) = 3*d**2 - 3*d. Let i(s) = -2*c(s) - v(s). Suppose 4*g - 6 - 2 = 0. What is the units digit of i(g)? 4 Let s = 6 - 4. Suppose -3*x = d - 41, s*d - 55 = 4*x - x. What is the units digit of d? 2 Let i(u) = -u**2 + 8*u + 8. Suppose 0 = 5*r + 4*w - 50, -3*r = -2*w + 4 - 12. Let p be i(r). Suppose -5 = f - p. What is the tens digit of f? 1 Let t = -3 - -5. What is the tens digit of (-21 - t)*(-2)/2? 2 Let o(j) = -j**2 - 23*j - 12. What is the units digit of o(-19)? 4 Let m(w) be the second derivative of w**4/12 + 7*w**3/6 - w**2/2 + 3*w. Let f be m(-7). What is the units digit of 0 - -1 - 2/f? 3 Suppose -7*g + 112 = -5*g. What is the units digit of g/(-12)*(-3)/2? 7 Let a = -20 - -4. Let j = a - -10. Let x = -5 - j. What is the units digit of x? 1 Suppose -3*h + 4 = -2*b, 0 = -0*h - h - 2. Let k(w) = 0 + 3*w + 2 - 1 + w**2. What is the tens digit of k(b)? 1 Let h be (-2)/(3/(36/(-8))). Suppose -11 = -5*r + 3*r - j, 3 = h*j. What is the units digit of r? 5 Let h = 196 + -105. What is the units digit of h? 1 Let t(p) = 3*p + 3. Let n be t(4). Let k = -4 + n. Let h = k + -5. What is the units digit of h? 6 Suppose 0 = -2*f + 3*f - 2. Suppose -f*g + 15 = 3*g. Suppose a - 2 = g. What is the units digit of a? 5 Suppose -4*w + 72 = -0*w. What is the tens digit of w? 1 Let r = -1 + 18. Let w = 28 - r. Suppose -3*v = -f - w - 6, 0 = v + f + 1. What is the units digit of v? 4 Suppose 288 = 6*a - 24. What is the tens digit of a? 5 Let m be -4 - -1 - -4 - -3. Suppose 4*s = 4*k + 4, 4*s + 3*k - 10 - 1 = 0. Suppose -m*j + 22 + s = 0. What is the units digit of j? 6 Suppose 3*q - 136 = -4*f + 7*q, -186 = -5*f - 3*q. What is the tens digit of f? 3 What is the tens digit of 561/15 - (-6)/(-15)? 3 Suppose 169 = 5*m + 29. What is the units digit of m? 8 Let i = 174 + -89. What is the units digit of i? 5 Let q = -26 - -40. What is the units digit of q? 4 Let m = 74 - 59. What is the units digit of m? 5 Suppose -3*u + 91 + 156 = -2*v, -u + 4*v + 69 = 0. Suppose -p - 4*p = -u. What is the tens digit of p? 1 What is the units digit of 2592/28 + ((-72)/(-21) - 3)? 3 Let a(d) = d**3 - 2*d**2 - 2*d + 1. What is the units digit of a(4)? 5 What is the units digit of (-4 + 32 - 2) + 3? 9 Let w(u) = -u**3 - 11*u**2 - 9*u + 13. Let n be w(-10). What is the units digit of n + (1 - (-3 - -2))? 5 Suppose -33*n = -34*n + 34. What is the units digit of n? 4 Suppose -9 - 7 = -4*c. Suppose 39 = 5*j - 2*t, -8*j - c*t = -3*j - 57. What is the units digit of j? 9 Let x(i) = 2*i + 4. Let a be x(-5). Let m be ((-3)/a)/((-1)/(-6)). Suppose m*c + 19 = 5*n - 46, -4*c = -4*n + 60. What is the units digit of n? 0 Suppose 0 = -3*w - 2*w + 225. Let h = w - 14. What is the tens digit of h? 3 Suppose h - 4*h - 48 = 2*q, 3*h = -4*q - 84. What is the units
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -1/2? (a) 0.1 (b) -11/4 (c) 16 a Which is the closest to -1252? (a) -0.4 (b) -3 (c) -50 (d) -0.2 (e) -1 c What is the closest to 32 in 1/6, -13/6, 1, -0.22? 1 What is the nearest to -0.2 in 8, 7, 0.4, 28, -0.3? -0.3 What is the nearest to -1 in -0.5, 0.03, 2, 3/77? -0.5 What is the closest to -3 in -5, -2, -1806? -2 Which is the closest to 2/7? (a) 2 (b) -127 (c) -2/3 (d) 38 c What is the nearest to 2/11 in 2/7, -2, -1, -2.6, -1085? 2/7 What is the closest to 2 in -4, -20.5, -23, -1/3? -1/3 What is the nearest to 2/135 in 0.2, 1, 0? 0 Which is the nearest to -2/5? (a) 1/4 (b) -2/17 (c) 2/7 b What is the nearest to -1/2 in 10, 0, 219, 0.4? 0 What is the nearest to -4 in 3/422, 1/3, 0.3, -2? -2 What is the closest to 6 in -167.96, -1, -1/7? -1/7 What is the nearest to -0.05 in 0.1, 1/24, -11? 1/24 What is the nearest to -164 in 0.25, 2, 5? 0.25 What is the closest to 47 in 22, -3/2, 1.2? 22 What is the closest to -0.4 in -0.9, 0, -3, -1.9? 0 What is the closest to -1/4 in -273.1, -3/2, -293? -3/2 What is the nearest to 30 in -5/7, 0.03, -4, 24, -0.5? 24 Which is the nearest to 64.2? (a) 2/3 (b) 1/4 (c) -6 a What is the closest to 2/3 in -0.2, 8/15, 0? 8/15 Which is the nearest to -1? (a) -13 (b) -4/9 (c) 20 b What is the nearest to 3/59 in -3, 3, 6, -0.7? -0.7 Which is the closest to 2? (a) 2/7 (b) 111/4 (c) -1/3 a What is the nearest to 8 in 1/9, 2/11, 8, 7, 0.3? 8 Which is the nearest to 0.1? (a) 4 (b) -21 (c) -0.0721 (d) 0 d Which is the closest to 1? (a) 2/7 (b) -11/96 (c) 0.2 (d) -5 a Which is the closest to 0.1? (a) -2/15 (b) 1535 (c) 2 a Which is the closest to 0? (a) -0.06 (b) -4150/11 (c) -4 a What is the nearest to 1 in -2, -547, 0.2? 0.2 What is the closest to 2 in 0.5, -0.30616, 3/2, -5? 3/2 Which is the closest to 1? (a) 0.3 (b) 22/23 (c) -1 (d) 4/7 (e) 27/5 b Which is the closest to 10/13? (a) -0.3 (b) -7.9 (c) 2/5 c Which is the closest to 2/7? (a) -2/27 (b) 0.28 (c) -4 b Which is the nearest to -2/3? (a) 0.9 (b) -0.4 (c) 4 (d) 139 b Which is the nearest to -117? (a) 0 (b) 16 (c) -2/9 (d) -1/8 c What is the closest to 1/4 in -14, -2, 2, 695? 2 Which is the nearest to 0.1? (a) 1 (b) 23.9 (c) -1/7 (d) 14 c Which is the nearest to -3? (a) 1625 (b) -0.5 (c) -2 (d) 8 (e) -1 c Which is the nearest to 2/11? (a) 3 (b) 0.0846 (c) 2/9 (d) 0.3 c Which is the nearest to 1/6? (a) -0.2 (b) -1/2283 (c) -1 b Which is the nearest to 3? (a) 3/2 (b) 4 (c) -5 (d) -11 (e) 9.7 b Which is the closest to -5? (a) -4 (b) 1033 (c) 2/3 (d) 0.1 a What is the nearest to -0.1 in 0.03, 3, 0, 0.16, -6? 0 What is the nearest to -5 in -2/3, 0.2, 125? -2/3 What is the nearest to 4 in -2/7, -0.03, -3, -4/25? -0.03 Which is the closest to -4? (a) 8 (b) -4/37 (c) -2/59 b What is the closest to -1/4 in -3, -6, -1574, -4? -3 What is the closest to -105 in 18, 3, -0.4, 4? -0.4 What is the nearest to -76.18 in 1/3, 3/8, 1? 1/3 Which is the closest to 11? (a) 3/5 (b) -1/15 (c) 3 c What is the closest to -2/17 in 2/25, -1, -3/206? -3/206 What is the closest to 22 in 0.2, 2, -3, -20? 2 What is the closest to 0.1 in 0.2, -0.1, 91, 2/7, -1/2? 0.2 What is the nearest to 2 in -2/13, 2/7, -1/7? 2/7 Which is the closest to 1? (a) 7 (b) -2.3 (c) 49 (d) 4 (e) -2.8 d Which is the closest to 1? (a) -0.3 (b) 662 (c) 1/8 c Which is the closest to -1? (a) 0.3 (b) 9 (c) -3 (d) -1/160 d What is the closest to -0.1 in -0.4, 3, 85, -41? -0.4 Which is the nearest to 1? (a) 47 (b) 0.1 (c) 89 b What is the nearest to 1 in -0.406, 5, 118? -0.406 Which is the nearest to 3? (a) -3 (b) 8 (c) 4 (d) -12 (e) 1 c What is the closest to 0.62 in -0.1, -1.06, 2, 0, 2/3? 2/3 Which is the nearest to 0.1? (a) 11993 (b) -0.5 (c) 3/7 (d) 3 c Which is the closest to -1? (a) -0.3 (b) 26 (c) 0.11 (d) -16 a Which is the closest to 2/3? (a) -1 (b) -37/4 (c) 0.3 (d) -17 c What is the closest to -2/7 in -1/3, -2/5, 1/12, -2, 0.1? -1/3 Which is the closest to 1.8? (a) 3 (b) -3/4 (c) -0.41 (d) 1/5 (e) 1/4 a What is the nearest to -2 in -5, 185, -202? -5 What is the closest to 0.99 in 25, 24, -2? -2 Which is the closest to 1? (a) 3/2 (b) -4 (c) -22398 a What is the closest to 0.14 in 0.1, 2/11, -5, -1.79? 0.1 What is the nearest to 2 in 5, 99, 1/13, -0.55? 1/13 Which is the nearest to -3/5? (a) 1 (b) 66 (c) 3 a What is the closest to 9 in 14/3, -5, -2/7, -0.2? 14/3 Which is the closest to -2/5? (a) 1 (b) 3 (c) 1/5 (d) -1.3 (e) -10 c Which is the closest to -1? (a) 2/11 (b) 11077 (c) -1/2 (d) 4 (e) -5 c What is the nearest to 0.0485 in -0.1, -5, 17, -2/3? -0.1 Which is the nearest to -4? (a) -1/4 (b) -74/63 (c) -2 c Which is the nearest to 420? (a) -0.2 (b) 0.11 (c) 0 (d) 2/3 d What is the closest to -1/4 in 0, 129, 0.3, -0.3? -0.3 Which is the nearest to 0? (a) -2/7 (b) 1/11 (c) 4.6 b What is the nearest to 0 in 2/407, -3/10, -3/7, -2? 2/407 What is the nearest to -6 in -0.5, -0.0678, 0.3, 4? -0.5 Which is the closest to 1? (a) -102 (b) -5 (c) 19 b What is the nearest to -3132/7 in 3, 4, -2/5? -2/5 What is the nearest to 2 in 15/2, 20, -0.8, 3? 3 What is the closest to -3 in -0.2, -50.2, 8, 0? -0.2 What is the nearest to 19 in 0.1, 40, -3/4, -2/9? 0.1 Which is the closest to 7? (a) 1 (b) 8 (c) 0 (d) 105 b What is the closest to -510 in -0.3, -218, 5/3, 0.3? -218 What is the closest to 75 in 3/4, -0.6, 2/15, 0? 3/4 Which is the nearest to -1452? (a) -2 (b) -817 (c) 2 (d) -1 b Which is the nearest to 5? (a) 2/19 (b) 4 (c) -5 (d) 2 (e) 1.39 b What is the nearest to 1/3 in 7/3, 5, 112/9? 7/3 Which is the nearest to 212/27? (a) -7 (b) 0 (c) 5 (d) 3 c Which is the closest to 3/4? (a) -1/2 (b) 1/4 (c) 1/6 (d) -30 b What is the closest to -2 in 108, -4, -189? -4 Which is the nearest to -45.1? (a) 2/9 (b) -0.23 (c) 1/3 b What is the closest to -0.06 in 6, -9, -1/2? -1/2 What is the closest to -1 in 18, -3/4, 2, -2, 6? -3/4 What is the closest to -0.07 in 0.1, -2, -11/5? 0.1 Which is the nearest to 55? (a) -5 (b) -4 (c) 2/11 (d) -10 c Which is the closest to 2/11? (a) -18/11 (b) -316 (c) -3/5 c What is the closest to 224 in 3, 1/77, -4/7? 3 Which is the closest to 0.08? (a) -5 (b) 3/5 (c) 3 (d) -1172 b Which is the nearest to 1? (a) 36/5 (b) 0.5 (c) -0.02 (d) 4/9 b Which is the nearest to 7? (a) 19 (b) -42 (c) -3 c Which is the nearest to -1? (a) -0.1 (b) 1/4 (c) -2 (d) -0.3 (e) -173 d Which is the nearest to 5? (a) -13 (b) 3 (c) -93 (d) -1 b What is the nearest to -0.02 in -2, -3/8, -2/5, -1/6, 8? -1/6 What is the closest to 2/3 in 0.088, 1/6, 5.7, -0.04, -3/5? 1/6 What is the closest to -908 in 1, -0.4, 3/5, -0.3? -0.4 What is the closest to -0.09 in 13/9, -4, 2/3? 2/3 Which is the nearest to -38? (a) -0.51 (b) -3 (c) -20 c Which is the closest to -4? (a) -1/13 (b) 0.057 (c) -0.32 c What is the closest to -6/5 in 139, 5, -4/7, -1/3? -4/7 Which is the closest to -2/121? (a) 0.4 (b) -3/2 (c) 8 (d) -3/5 a Which is the nearest to -2478? (a) 1 (b) -2/19 (c) -0.4 c Which is the closest to 3? (a) -0.608 (b) 2 (c) -0.3 (d) 1 b Which is the nearest to -2153? (a) -2 (b) -0.5 (c) -0.4 a What is the nearest to 110 in -2, -1/3, 0.057, 1/6? 1/6 Which is the nearest to 0.1? (a) -2 (b) -4/5 (c) 2681 b What is the closest to -1/3 in -2, 4, 5/131, 2? 5/131 What is the closest to 3 in 3, 1/3, -2, -3/509? 3 Which is the closest to -0.1? (a) -46362 (b) 2/13 (c) -0.1 (d) -0.3 c Which is the nearest to 2? (a) -0.6 (b) -0.2 (c) 3/5 (d) 0.439 c What is the closest to 1778 in 3, 2/3, 0, -0.5? 3 Which is the nearest to 1? (a) -16/25 (b) 0 (c) -97 b Which is the nearest to 2? (a) 1/8 (b) -3 (c) 3 (d) 0.31 c Which is the closest to -2/7? (a) -0.3 (b) -1 (c) 9 (d) 39 (e) 0.3 a What is the nearest to -1/5 in -1, 2.006, -2/9, 0.05? -2/9 Which is the nearest to -11/7? (a) -11 (b) 1 (c) 12.1 b Which is the nearest to -19? (a) -0.139 (b) 5 (c) -2/9 c What is the closest to 1 in -0.1, -19, -8/3, 5, -1? -0.1 What is the nearest to -0.06 in 0.1, -0.18, -5, 1/2, 12? -0.18 What is the nearest to 6 in -5/2, 0.02, -12.5, 1/4, 5? 5 Which is the nearest to 3? (a) 0.99 (b) -21 (c) -5 (d) 1
{ "pile_set_name": "DM Mathematics" }
Let m(r) = -r**2 - 4*r + 2. Let d(u) = u**2 + 2*u - 1. Let f(x) = -2*d(x) - m(x). Determine i(f(p)). -118*p**4 Let v(q) = -3*q - 3*q + 4*q. Let s(w) be the first derivative of 0*w - 7/2*w**2 - 38. Give s(v(l)). 14*l Let c(f) = -2*f**2. Let y(a) = -311395642*a. What is c(y(n))? -193934491713184328*n**2 Let f(n) = 17*n**2. Let p(u) = -u + 9804997. Give p(f(l)). -17*l**2 + 9804997 Let q(t) = -43*t**2. Let o(b) be the first derivative of b**4/8 - 37*b**2/2 - 30. Let u(j) be the second derivative of o(j). Determine q(u(k)). -387*k**2 Let t(b) = -b**2. Let m(r) be the first derivative of r**3/3 - 61*r**2 + 2*r + 2390. Determine m(t(k)). k**4 + 122*k**2 + 2 Let m(f) = -f - 18. Let t be m(-27). Let x(a) = 4*a**2 + t - 27 + 19. Let g(w) = -w. Calculate x(g(c)). 4*c**2 + 1 Let t(z) = 4*z. Let w(f) be the third derivative of -f**5/60 + 41*f**4/8 + 1018*f**2. What is t(w(v))? -4*v**2 + 492*v Let w(y) = -1257*y. Let j(o) = 534*o**2. Determine j(w(t)). 843746166*t**2 Let x(z) = 8*z**2 + 7*z - 21. Let l(i) = -15 + 24*i**2 - 54*i**2 - 3 + 37*i**2 + 6*i. Let v(d) = -7*l(d) + 6*x(d). Let f(a) = 136*a. Determine v(f(s)). -18496*s**2 Let c(w) = -2*w**2. Let i(k) = 2087*k - 6. Let p(f) = -77220*f + 220. Let t(x) = 110*i(x) + 3*p(x). Determine c(t(q)). -8736200*q**2 Let u(q) be the third derivative of 13*q**5/120 - 65*q**3/6 + q**2 + 13. Let a(x) be the first derivative of u(x). Let c(h) = 3*h. What is c(a(r))? 39*r Let o(x) = -2*x. Let v(r) = 6 + 10*r**2 + 2 - 2*r - 3*r**2 - r - 3*r**2. What is o(v(t))? -8*t**2 + 6*t - 16 Let c(x) = 42*x**2 - 2. Let k(j) be the first derivative of -j**3/6 - 40*j + 52. Let q(g) be the first derivative of k(g). Determine q(c(h)). -42*h**2 + 2 Let f(v) = -3*v. Let u(a) = 14*a. Let d(t) = 21*f(t) + 4*u(t). Let c(m) = -705*m + 2243*m - 791*m - 782*m. What is c(d(o))? 245*o Let m(d) = d**2. Let q(k) be the second derivative of -5*k**4/3 + 2*k + 322. Calculate q(m(l)). -20*l**4 Let v(l) = 9 - 9 + 8*l + 5*l. Let a(t) = -1265*t + 2526*t - 1263*t. What is a(v(j))? -26*j Let b(d) = 84*d**2 + 3. Let q(a) = -3*a**2 - 90. Calculate q(b(g)). -21168*g**4 - 1512*g**2 - 117 Let n(k) = -1178*k - 14581. Let z(g) = -5*g**2. Give n(z(y)). 5890*y**2 - 14581 Let a(l) = -29*l. Let x be 1 + 0 + (-26)/(-2). Suppose -p - 8 = -3*p, -u = -4*p + x. Let s(o) = -148 + 148 - o**u. Calculate a(s(j)). 29*j**2 Let y(n) = -26*n**2. Let j(u) be the first derivative of 52*u**3/3 - u + 1984. Give y(j(h)). -70304*h**4 + 2704*h**2 - 26 Let t(d) = 9369247*d**2. Let s(h) = -5*h. What is s(t(u))? -46846235*u**2 Let w(x) = 8*x - 290. Let d be w(39). Let o(k) = 89*k - 66 + d + 22 + 22. Let h(m) = m**2. Calculate h(o(z)). 7921*z**2 Let s be -5 + 56/(8 - 0). Let f(q) = -s + 2 + 16*q**2 - 88*q**2 + 34*q**2. Let m(l) = l**2. Give m(f(o)). 1444*o**4 Let w(v) = -1797 - 23*v + v**2 + 1860 - 10*v. Let d(f) = -f. What is d(w(l))? -l**2 + 33*l - 63 Let d(s) = 15*s**2 - 166. Let j(k) = -485*k - 7. Calculate d(j(f)). 3528375*f**2 + 101850*f + 569 Let n(t) = 4*t. Let o(x) = -5. Let g(u) = 1039*u - 30. Let v(f) = -g(f) + 6*o(f). Give v(n(a)). -4156*a Let n be (-4)/(-2) - ((-24)/(-6) - 8). Let l = n - -5. Let q(s) = -1 + l*s + 3 - 2. Let a(o) = -5*o. What is a(q(z))? -55*z Let p(w) = -84*w**2 - 3*w + 3*w + 61*w**2. Let n(t) be the third derivative of -2*t**5/15 - 2*t**2 - 33. What is n(p(m))? -4232*m**4 Let v(r) = -313*r**2 - 21*r + 13. Let c(o) = 6*o. Determine v(c(w)). -11268*w**2 - 126*w + 13 Let s(l) be the third derivative of -l**6/60 - l**5/30 - 39*l**2. Let d be s(-3). Let b(n) = d*n - 36*n + 36*n - 4*n. Let m(k) = 2*k. Determine b(m(j)). 64*j Let c(w) be the third derivative of -11*w**4/12 + 780*w**2 - 17*w. Let u(z) = -12*z - 4 + 4. What is u(c(r))? 264*r Let t(l) = 8*l + 13. Let s(j) = -112 - 103 - 120 - 22*j + 336 + 7*j. Give s(t(g)). -120*g - 194 Let x(m) = -m**2. Let r(k) = -1689*k + 327. Calculate r(x(g)). 1689*g**2 + 327 Let b(r) = -4*r. Let q be (-533)/9 - (-6)/27. Let v = q - -59. Let w(m) = 3*m**2 - 7*m**2 + v*m**2. What is w(b(a))? -64*a**2 Let a(h) = -h - 62. Let y(r) be the second derivative of r**4/8 + 69*r**2 - r + 11. Let i(p) be the first derivative of y(p). What is i(a(x))? -3*x - 186 Let i(w) = 3*w - 4. Let c(f) be the first derivative of 33*f**2 + 3058. Determine i(c(d)). 198*d - 4 Let o(z) = z + 2*z + 16*z**2 - 3*z. Suppose 2*v - 2*m = 8, m = 9*v - 6*v - 8. Let n(g) = 23*g**2 - 64*g**v + 22*g**2 + 21*g**2. Determine o(n(f)). 64*f**4 Let v(t) = -t. Let f(u) = -7*u**2 + 5*u - 111. Let n(y) = 4*y**2 - 3*y + 55. Suppose 16 = 5*h + 31. Let x(g) = h*f(g) - 5*n(g). Give v(x(z)). -z**2 - 58 Let x(o) = 4449*o + 18. Let s(n) = -4447*n - 15. Let h(y) = -6*s(y) - 5*x(y). Let c(b) = -2*b. Determine h(c(q)). -8874*q Let q(y) = -300616*y**2. Let m(a) = -3*a**2. What is m(q(u))? -271109938368*u**4 Let s(r) = 2*r - 8. Let h be s(5). Let m(t) = -2*t + 3*t + h*t + 0*t. Let y(c) = c. Let u(g) = m(g) - 2*y(g). Let a(v) = 10*v. What is a(u(o))? 10*o Let q(p) = -2010*p. Let s(w) = 1180*w**2. Calculate s(q(a)). 4767318000*a**2 Let w(a) = 4*a. Let y(k) = -11708*k**2 - 53*k + 1. Determine w(y(x)). -46832*x**2 - 212*x + 4 Let b(l) = 10*l + 374 - 159 - 216. Let q(c) = 3*c + 48. Determine q(b(r)). 30*r + 45 Let v(q) be the second derivative of q + 0*q**2 - 6 + 0*q**3 - 27/4*q**4. Let l(w) = 2*w. Give l(v(k)). -162*k**2 Let i(h) be the first derivative of -h**3 - 118. Let p(l) = 10*l**2. What is i(p(z))? -300*z**4 Let d(f) = -150*f**2. Let p(c) be the second derivative of c**4/12 - 109*c**2/2 - 14*c. Let n(x) be the first derivative of p(x). Give d(n(i)). -600*i**2 Let i(l) = -925*l. Let q(j) = -3*j - 10*j + 2*j - 14*j. Let o(c) = -2*i(c) + 75*q(c). Let k(s) be the second derivative of -s**4/6 + 93*s. What is k(o(d))? -1250*d**2 Let z(j) = 4*j**2. Let x(b) be the third derivative of 5*b**7/252 - b**5/12 - 8*b**3/3 + 28*b**2 + 2*b. Let a(f) be the third derivative of x(f). Give z(a(k)). 40000*k**2 Let a(g) = 5*g + 62089. Let x(i) = 39*i**2. What is a(x(l))? 195*l**2 + 62089 Let k(y) = -y**2 + 1658*y + 219. Let q(b) = -8*b. Determine q(k(n)). 8*n**2 - 13264*n - 1752 Let i(z) = 3*z. Let j(u) = -3233*u**2 + 1676. Determine j(i(g)). -29097*g**2 + 1676 Let u(x) = 4*x. Let t(l) be the first derivative of -85*l**2 - 62 - 245 + 3*l**2 + 81. Determine u(t(k)). -656*k Let z(n) = 3*n - 2*n - 3*n. Let c(k) = 918*k**2 - 46*k**2 - 659*k**2. Calculate c(z(g)). 852*g**2 Let q(y) = 23709*y**2 - 61. Let b(i) = i**2. Determine q(b(w)). 23709*w**4 - 61 Let k(r) = -2*r**2 - 21. Let f(h) = -3*h - 36. Let o(a) = -7*a - 96. Let i(u) = 8*f(u) - 3*o(u). Determine k(i(s)). -18*s**2 - 21 Let n = 713 + -538. Let d(x) = -141*x**2 + 288*x**2 - n*x**2. Let f(y) = 2*y. Determine d(f(i)). -112*i**2 Let j(z) = 34*z - 9. Let i(v) = 68*v - 21. Let m(t) = -2*i(t) + 5*j(t). Let f(g) = 4*g**2. Calculate f(m(u)). 4624*u**2 - 816*u + 36 Let z(g) be the second derivative of g**7/280 - g**4/4 + 31*g**2/2 - 22*g. Let v(a) be the third derivative of z(a). Let j(q) = 13*q. Calculate v(j(u)). 1521*u**2 Let q(x) = -9922*x - 2000. Let k(b) = -b. Determine k(q(p)). 9922*p + 2000 Let m(q) = -2*q**2. Let p(y) = y**3 - 10*y**2 + 8*y + 11. Let n be p(9). Let a(x) = -44*x + 1 - 10*x**n - 117*x**2 - 2 + 44*x. Calculate a(m(h)). -508*h**4 - 1 Let c(f) be the third derivative of 173*f**4/24 - f**3/6 + 22*f**2 + 4. Let v(o) be the third derivative of o**5/60 + 11*o**2 + 2*o. Calculate v(c(k)). 29929*k**2 - 346*k + 1 Let w(z) be the second derivative of -4*z**3/3 + 2*z + 270. Let a(u) = -30*u**2 - 3*u. Determine w(a(b)). 240*b**2 + 24*b Let y(x) = x - 18. Let a(o) = -8*o**2 - 2256. Give y(a(z)). -8*z**2 - 2274 Let b(o) = 2*o**2. Let u(g) = -412*g**2 - 49*g + 48. Let y(r) = 82*r**2 + 9*r - 9. Let j(f) = 4*u(f) + 22*y(f). What is j(b(s))? 624*s**4 + 4*s**2 - 6 Let h(z) = 2*z**2. Let i = 1320 - 2405. Let s(k) = 151*k**2 - 12*k - 4. Let v(m) = 40920*m**2 - 3255*m - 1085. Let t(d) = i*s(d) + 4*v(d). Calculate h(t(c)). 48050*c**4 Let u(t) = -5*t. Let j(p) = 0*p - 693*p**2 - 680*p**2 + 1387*p**2 + 0*p. What is u(j(a))? -70*a**2 Let q(s) = s + 4. Let y(n) = -155212*n - 1. Determine y(q(z)). -155212*z - 620849 Let a(z) = -15*z**2 + 32. Let d(j) = -6*j - 254. Give a(d(x)). -540*x**2 - 45720*x - 967708 Let j(l) = 8*l - 1. Let n(u) = -25*u + 3. Let d(x) = -6*j
{ "pile_set_name": "DM Mathematics" }
l place. 0.4 What is 0.07742 rounded to 1 dp? 0.1 What is 0.000155357 rounded to 7 decimal places? 0.0001554 What is -49.433 rounded to one dp? -49.4 What is -75.25 rounded to the nearest integer? -75 Round 0.00000064435 to 7 decimal places. 0.0000006 What is 692.5 rounded to the nearest ten? 690 Round 2912.8 to the nearest ten. 2910 What is -0.00055035 rounded to five decimal places? -0.00055 What is 0.000058428 rounded to 5 dps? 0.00006 What is -113.88 rounded to zero decimal places? -114 Round -0.02079 to 3 decimal places. -0.021 Round -0.0020491 to three dps. -0.002 What is -0.0000559 rounded to 6 decimal places? -0.000056 What is -38.548 rounded to 1 decimal place? -38.5 Round 0.00270567 to four decimal places. 0.0027 What is -0.011555 rounded to 3 dps? -0.012 What is -0.0001628 rounded to four decimal places? -0.0002 Round -0.0001062 to 5 dps. -0.00011 Round -0.0077719 to 3 decimal places. -0.008 Round 1.02658 to 3 dps. 1.027 What is -13.78 rounded to zero decimal places? -14 Round -1336.2 to the nearest 100. -1300 What is -0.000114948 rounded to 6 decimal places? -0.000115 What is -0.0000000263 rounded to 7 decimal places? 0 What is -0.00008828 rounded to five dps? -0.00009 What is -0.00009034 rounded to 6 dps? -0.00009 What is -22.233 rounded to zero dps? -22 What is -0.000000038 rounded to 6 decimal places? 0 What is -3.132 rounded to the nearest integer? -3 What is 1208.72 rounded to the nearest integer? 1209 Round 0.6216 to 2 decimal places. 0.62 Round -29048 to the nearest 1000. -29000 Round 2.872 to one dp. 2.9 Round -0.018228 to four decimal places. -0.0182 Round -0.00040779 to five decimal places. -0.00041 What is 373970 rounded to the nearest ten thousand? 370000 What is 86450000 rounded to the nearest 1000000? 86000000 What is -0.000013566 rounded to seven decimal places? -0.0000136 What is 0.000011513 rounded to 7 dps? 0.0000115 What is -29461000 rounded to the nearest 1000000? -29000000 Round 2705000 to the nearest 1000000. 3000000 What is -0.000059105 rounded to 5 dps? -0.00006 What is -0.0000344 rounded to 5 dps? -0.00003 What is 0.0040711 rounded to five decimal places? 0.00407 What is -4150.9 rounded to the nearest 1000? -4000 What is -64000 rounded to the nearest ten thousand? -60000 What is -21707 rounded to the nearest one thousand? -22000 Round 76400 to the nearest 1000. 76000 What is 581 rounded to the nearest 10? 580 What is 0.0000005761 rounded to 7 dps? 0.0000006 Round -128870 to the nearest ten thousand. -130000 Round -67.41 to the nearest ten. -70 Round 320000 to the nearest one million. 0 What is -15.26 rounded to the nearest 10? -20 Round 923000 to the nearest 100000. 900000 Round 0.00001604 to 6 dps. 0.000016 What is 179.96 rounded to the nearest 10? 180 What is 0.000686 rounded to five decimal places? 0.00069 Round 31268000 to the nearest 100000. 31300000 What is -0.00211585 rounded to 4 dps? -0.0021 Round -0.00000008 to five dps. 0 Round -0.00000060417 to seven decimal places. -0.0000006 What is 0.0095583 rounded to 3 decimal places? 0.01 Round 0.00000079 to 6 decimal places. 0.000001 What is -0.000583 rounded to five decimal places? -0.00058 What is -0.0035929 rounded to 4 dps? -0.0036 What is 90200 rounded to the nearest ten thousand? 90000 What is 0.008078 rounded to three dps? 0.008 What is 0.05194 rounded to 2 decimal places? 0.05 Round 0.0016257 to 5 dps. 0.00163 Round 1419000 to the nearest one hundred thousand. 1400000 What is -10050900 rounded to the nearest one million? -10000000 What is -0.00004928 rounded to 6 decimal places? -0.000049 What is -0.0001338 rounded to five dps? -0.00013 Round 0.3081 to 2 decimal places. 0.31 What is 0.3031 rounded to two dps? 0.3 What is 72.67 rounded to the nearest ten? 70 Round 89209000 to the nearest one million. 89000000 Round -0.322 to two decimal places. -0.32 Round 322960 to the nearest ten thousand. 320000 Round -0.00002027 to six decimal places. -0.00002 What is 0.041816 rounded to 2 decimal places? 0.04 What is -0.00000635 rounded to seven dps? -0.0000064 Round 10.941 to the nearest integer. 11 Round -19.892 to zero dps. -20 What is -0.000041195 rounded to five decimal places? -0.00004 Round -2182.4 to the nearest ten. -2180 What is 47.932 rounded to the nearest integer? 48 What is 0.10599 rounded to 3 dps? 0.106 Round -2177.51 to the nearest 10. -2180 Round 0.00067 to three dps. 0.001 Round -0.00001113 to five decimal places. -0.00001 What is -5459 rounded to the nearest one hundred? -5500 Round 0.0000104 to six decimal places. 0.00001 Round -316.64 to the nearest 10. -320 Round 10 to the nearest 1000. 0 Round 0.01697 to two decimal places. 0.02 What is 124.63 rounded to the nearest 10? 120 What is 0.000013351 rounded to 7 dps? 0.0000134 What is 4900000 rounded to the nearest one million? 5000000 Round 45765 to the nearest 10000. 50000 What is -116.2 rounded to the nearest 10? -120 What is 22.77 rounded to the nearest integer? 23 What is -116100 rounded to the nearest one thousand? -116000 What is 0.056238 rounded to 4 dps? 0.0562 What is 0.00395167 rounded to 3 decimal places? 0.004 Round 563460 to the nearest one hundred thousand. 600000 What is 0.00003137 rounded to five decimal places? 0.00003 What is 174.9 rounded to the nearest integer? 175 What is -294200 rounded to the nearest ten thousand? -290000 What is 289.1 rounded to the nearest ten? 290 Round 1.2543 to 1 dp. 1.3 Round -0.0002314 to five decimal places. -0.00023 Round -0.000000868 to seven dps. -0.0000009 Round 52904000 to the nearest 100000. 52900000 Round -7187000 to the nearest one million. -7000000 Round 0.016796 to 3 decimal places. 0.017 What is 7056 rounded to the nearest 1000? 7000 What is 226910 rounded to the nearest 10000? 230000 Round -5336 to the nearest 100. -5300 Round -3.3 to 1 dp. -3.3 Round 1.216 to one decimal place. 1.2 Round -5700 to the nearest one hundred. -5700 What is 2.144 rounded to 1 decimal place? 2.1 Round -22062 to the nearest ten thousand. -20000 Round 10271000 to the nearest one million. 10000000 What is -127244 rounded to the nearest one thousand? -127000 Round 0.00007755 to five dps. 0.00008 Round 3086.9 to the nearest one hundred. 3100 Round -1.0278 to one dp. -1 What is 8029000 rounded to the nearest 100000? 8000000 What is -1450 rounded to the nearest 100? -1500 What is 0.00000788 rounded to six dps? 0.000008 What is -24475 rounded to the nearest 100? -24500 Round -0.00120019 to 5 dps. -0.0012 Round 14150900 to the nearest one million. 14000000 Round -3614400 to the nearest ten thousand. -3610000 Round 1390.76 to the nearest 100. 1400 Round 0.2537 to 2 dps. 0.25 What is 0.00049613 rounded to 4 dps? 0.0005 Round 0.0000026323 to 7 dps. 0.0000026 What is -0.06799 rounded to two dps? -0.07 What is 2.8293 rounded to two dps? 2.83 Round -113930 to the nearest one thousand. -114000 What is 7.451 rounded to the nearest integer? 7 What is -1836.4 rounded to the nearest one hundred? -1800 What is -50.66 rounded to the nearest integer? -51 Round -3702900 to the nearest 100000. -3700000 What is 42720 rounded to the nearest ten thousand? 40000 What is -0.0099894 rounded to four decimal places? -0.01 What is -2514 rounded to the nearest one hundred? -2500 Round -43 to zero dps. -43 What is 7723500 rounded to the nearest 100000? 7700000 What is -0.000072233 rounded to six dps? -0.000072 What is -209.37 rounded to the nearest 10? -210 What is -0.000001161 rounded to 6 dps? -0.000001 Round -59901.8 to the nearest one thousand. -60000 Round 47.7 to the nearest 100. 0 Round 0.000076039 to 7 dps. 0.000076 What is -0.00104889 rounded to 5 dps? -0.00105 What is 30.301 rounded to 1 dp? 30.3 What is -16442 rounded to the nearest 100? -16400 Round 0.000002195 to 7 dps. 0.0000022 Round -0.0000145601 to seven decimal places. -0.0000146 What is -0.0000000327 rounded to 7 dps? 0 Round -1.957 to 1 decimal place. -2 What is -402610 rounded to the nearest one hundred thousand? -400000 Round 16977 to the nearest ten thousand. 20000 What is -0.00015315 rounded to six decimal places? -0.000153 What is -0.017218 rounded to 3 dps? -0.017 What is -31.3212 rounded to 1 decimal place? -31.3 Round 0.000049411 to seven dps. 0.0000494 What is 30572 rounded to the nearest 1000? 31000 Round
{ "pile_set_name": "DM Mathematics" }
inator of 27/14 and k. 28 Suppose -5*q + 50 = -60. Let f = q - 10. What is the smallest common multiple of f and 66? 132 Let b be 8907/(-35644) - (-1)/4. Let o = b - 810907/53466. What is the common denominator of o and -73/3? 6 What is the common denominator of (-1)/(3/(-2)) - (-689)/(-52) and -74/27? 108 Suppose -5*d + 10 = -70. Let j be (-4)/d - (-62)/(-8). Find the common denominator of (-858)/(-27)*(-6)/j and 39/20. 60 Suppose 2*i - 4*b + 12 = 0, -3*b = -5*i + b. What is the least common multiple of 14 and i? 28 Suppose 0 = -i + 2*g + 12 + 2, -3*g - 31 = -4*i. What is the least common multiple of 9 and i? 36 Let d be (-51)/(-7) - (-4)/(-14). Suppose 7*f - 15 = 2*f - 5*c, -3*f = c - d. Suppose -4 + 0 = -m. What is the smallest common multiple of f and m? 4 Let y = -1292 - -3910/3. Find the common denominator of y and -47/24. 24 Suppose 0*f - 54 = -3*f. Let d be (2 + 1 + -2)*2. Suppose -d*x = x - 60. What is the lowest common multiple of x and f? 180 Suppose -3*s = -4*b - b - 33, 2*s + 4*b = 0. Calculate the lowest common multiple of 40 and s. 120 Suppose 5*k = -3*v - 38, 2*v - 29 = 4*k + 3*v. What is the smallest common multiple of 6 and k - -7 - (1 - 13)? 12 Suppose 3*l + 1 - 4 = 0. What is the smallest common multiple of l and 22/10 + 3/(-15)? 2 Let g(x) = -x**2 - 9*x + 2. Let o be (-4)/6*(-6)/(-1). Let j be g(o). Calculate the common denominator of 40 and (j/(-8))/((-4)/24). 2 Let r(h) = 36*h - 3. Let y be r(2). Let b = 30 - y. Let n = 63 + b. Calculate the least common multiple of n and 14. 168 Let r = 18 + -35. Let b = -5789/6 + 969. Find the common denominator of b and (-6)/24 + r/(-8). 24 Calculate the common denominator of (-3)/(-84)*-242 - -2 and (2/4)/(10/121). 140 Suppose 0 = 2*w - 3*k + 2, -w - 4 = 4*k - 14. What is the common denominator of (-75)/(-21)*(-1 + w) and 41/(3 + 4/2)? 35 Let v(s) = -7*s**3 - s**2 - s. Let k(y) = -y**3 + y**2 - 7. Let t be k(0). Let r = t - -13. What is the smallest common multiple of v(-1) and r? 42 Let q = 66 + -144. Let m = q + 113. What is the common denominator of -85/6 and ((-356)/(-50))/(28/m)? 30 Suppose -3*b - 2*q + 11 = 0, -2*b + 2*q - q = -12. What is the smallest common multiple of b and 8? 40 Suppose 0 = 3*y - 7 - 23. Let z = 32 - y. What is the smallest common multiple of z and 46? 506 Suppose 4*j - 25 = 31. What is the least common multiple of j and 3? 42 Let t be (-4*21/(-6))/2. Let r = 11 - t. What is the lowest common multiple of 4 and r? 4 Suppose 2*m + 12482 + 2706 = 0. Let n = m + 76001/10. Calculate the common denominator of n and -62/3. 30 Let c = -8 + 2. Let q = -27 + 33. Calculate the least common multiple of 8/3*(-27)/c and q. 12 What is the common denominator of -43/10 and (-38)/(-24)*6/(-27)? 270 Let u = 6136 - 61459/10. What is the common denominator of 101/10 and u? 10 What is the smallest common multiple of 20 and -1 - (-1 + 5 - 7)? 20 Let s = -801/11 + 17131/220. What is the common denominator of s and 126/(-24)*10/3? 20 Let s = 1187/51 + 18/17. Calculate the common denominator of s and 23/3. 3 Let x(a) = -a**2 + 10*a + 7. Let h(k) = 2*k**2 + 4. What is the smallest common multiple of x(9) and h(-3)? 176 Let a = -59 - -156. Suppose 289 = 4*f + a. What is the common denominator of -13/2 and 2/3 - 566/f? 8 Let p(i) = -7*i + 3. Let n be p(-5). Let v be (-2 - 1) + (-15)/1. Let z = n + v. What is the smallest common multiple of z and 2? 20 Suppose -4*c = 11 + 13. Let y be (-1)/c + 220/(-24). What is the common denominator of -20/9 and (-6)/y*284/(-8)? 9 Let y be 36 + 1 + (-6)/3. Calculate the smallest common multiple of 10/3*42/y and 1. 4 Let v be 1 - (8202/4)/3. Let b = 7522/11 + v. Find the common denominator of b and 51/4. 44 Suppose -9 = -2*z + z. Find the common denominator of -1/6 and (z/(-30))/(24/(-55)). 48 Let g = -84/61 - 2188/183. Find the common denominator of -36/11 and g. 33 What is the common denominator of -97/8 and -2 + 6/8 - 5? 8 Let w(s) = 2*s**2 - 11. Calculate the smallest common multiple of 39 and w(-5). 39 Let v = -2133/74 + -479225/111. Let d = v - -4362. What is the common denominator of d and -87*-2*(-3)/120? 60 Suppose -3*c + 51 = -153. Calculate the common denominator of -15/7 and c/(-44)*(-1 - -2). 77 What is the common denominator of -45/8 and (-8)/54*(168/(-20))/(-7)? 360 Let z be (-2)/8 + (-35)/20. Find the common denominator of z + (-2)/(-11) - 2 and 170/(-12) - (-1 + 0). 66 Suppose 15*z + 24 = 19*z. Calculate the lowest common multiple of z and 8. 24 Suppose 9 = 4*m - 3*m + 2*d, 0 = m + 4*d - 15. Let f be (-1 + 9)/(m/(-66)). Calculate the common denominator of 33/8 and 8/44 - 738/f. 8 Let g(z) = 9920*z**3 - z**2 + z + 1. Let m be g(-1). Let y = 118987/12 + m. Let s = 25897/154 - 1761/11. What is the common denominator of y and s? 84 Suppose -3*r - 38 = -0*r + 5*b, -r + 4*b = -10. Calculate the common denominator of -53/2 and 268/r*42/112. 4 Suppose 0 = 5*x + 3*a - a - 32, -4*x + a + 23 = 0. Suppose 11 = d + 2. What is the least common multiple of x and d? 18 Let n(y) = y**3. Let q(i) = -i**3 - i**2 - i + 2. Let t be q(0). What is the lowest common multiple of n(t) and 20? 40 Suppose 23471 - 2207 = 3*p. Let g = p - 70943/10. Find the common denominator of -75/4 and g. 20 Suppose 7*c - 3*c = 40. Suppose 2*y = -c, -2*x = 3*x + 3*y + 5. Find the common denominator of (x/(-5))/((-4)/(-77)) and -31/6. 30 Let y(f) = 6*f**3 - f**2 + 2*f - 1. What is the smallest common multiple of y(2) and 8? 376 Let j = -1126 + 22. Let o = j - -11113/10. Calculate the common denominator of o and 17/2. 10 Let z(h) = -h. Let i be z(-2). Suppose i*o = 10 + 8. Suppose 5*f = -2*c + 42, -2*c = 2*f + 3*c. Calculate the least common multiple of f and o. 90 What is the common denominator of (4/(-30))/(3/110) and -39/4? 36 Calculate the least common multiple of 12 and -1*((-280)/(-4))/(-5). 84 Let q = -29 - -23. What is the lowest common multiple of (-2)/3 - 16/q and 9? 18 Calculate the smallest common multiple of ((-28)/(-6))/((-2)/(-6)) and 14. 14 Find the common denominator of (-8073)/230*(-2)/(-12) and 69/4. 20 Let d = 3713/12 - 893/3. Calculate the common denominator of d and 87/40. 40 Let j = 1291587/8 - 161176. Let l = j - 282. Suppose 2*r = 4*r + 5*o - 89, 41 = r - o. What is the common denominator of r and l? 8 Let s be (-16)/12*(-279)/12. Suppose s*j + 54 = 34*j. Calculate the least common multiple of 1*-3*(-4)/6 and j. 18 Let g be ((-2055)/(-45))/(2/(-180)). Let m = 16353/4 + g. Find the common denominator of m and 9/7. 28 Let n = 28 - 84. Let u be 6/8 - (-403238)/n. Let x = u + 7192. Calculate the common denominator of x and 23/18. 126 Suppose 0 = -4*w + 2*j - 14, 3*w = 5*j - 9 + 2. Calculate the lowest common multiple of w/((-4 - -2)/2) and 5. 20 Let k = 3/3290 + -97091/39480. Calculate the common denominator of k and -55/21. 168 Let i(v) = v - 10. Let g be i(6). Calculate the common denominator of 11/8 and ((-459)/24)/((-33)/g). 88 Let g be (-2)/(-12) + 92/(-120). Let x = 11/15 - g. Find the common denominator of (1/20)/((-2)/268) and x. 30 Let a be ((-584 + -3)*1)/(-6). Let x = a - 110. What is the common denominator of -7/4 and x? 12 Let b = 11 + -7. Let o be (-52)/14 - (-10)/(-35). Let d = 5 + o. What is the lowest common multiple of b and d? 4 Suppose 4*u - 3*u - 2 = 0. Calculate the least common multiple of 10 and u. 10 Let p = -451 + 4925/11. What is the common denominator of 50/7 and p? 77 Let c = -1019/10 - -97. Find the common denominator of 103/10 and c. 10 What is the lowest common multiple of 10 and (-4)/1*(-8 - -7)? 20 Suppose -6*i = -3*i - 66. Suppose m - 3 = 2*m. What is the least common multiple of i and (-4)/m + 2/3? 22 Let p be -3 + 4 + 2737/(-4). Suppose -5*l + 2040 = -2*l. Let o = l + p. What is the common denominator of o and -63/8? 8 What is the common denominator of 125/6 and (10 - 10) + 59/9? 18 Let l(i) = i**2 + 7*i + 7. Let h be (-13)/2 - (-3)/6. Let b be l(h). Calculate the common denominator of -1 + ((-291)/(-6) - b) and -9/5. 10 Suppose 0 = -5*n + 20, 4*k - 8 = 4*n + 48. Calculate the smallest common multiple of k and 2. 18 Find the common denominator of (22/(-12))/(8/(-84)) and 39/2. 4 Find the common denominator of 67/3 and 68/22*(-9)/(-6). 33 Let k be 60/(-14) + 4/14. Let q = -7 + 5. Let l = q - k. What is the least common
{ "pile_set_name": "DM Mathematics" }
371. Let y = 2.6 + -3.1. Which is the biggest value? (a) j (b) y (c) d a Let d = -0.1 - -0.08. Let g = 266.98 + -264. Let a = g - d. What is the biggest value in 2, a, -1? a Let s = -307 + 4607/15. Which is the smallest value? (a) 3 (b) 4 (c) -0.1 (d) s c Let z be 6/(-2) + (-93)/(-33). Let w be 12 - 2/1*1. Let f = 7 - w. Which is the third biggest value? (a) -3/8 (b) z (c) f c Let g = -59 + 58.97. Which is the second smallest value? (a) -2 (b) 0.3 (c) 1/3 (d) g d Let w = -17 + 16.9. Which is the third smallest value? (a) 0.4 (b) w (c) -4 a Let h = 116 - 121. Let k = 10.5 + -13. Let z = k - -0.5. Which is the second smallest value? (a) 2/9 (b) h (c) z c Let o be ((-2)/(-4))/((-2)/(-4)). Let g be (8 - 1)/1 + 3. Let i be (32/(-40))/((-12)/g). Which is the biggest value? (a) -0.3 (b) o (c) i b Let v = -2.97 - 0.43. Let h = v - 1.6. Which is the third smallest value? (a) 3 (b) h (c) 4 c Let v = -31 + 37. Let h(l) = 2*l**2 - 1. Let n be h(-1). Let j be 2/6 - (1 - n). What is the smallest value in v, 5, j? j Let l = 10.4 - 4.4. Which is the second biggest value? (a) 2 (b) l (c) -5 a Let n be (1 + -2)/(-1)*-11. Let j be n/(-4) + (-6)/2. Let x be (-6)/8*4/(-6). What is the third smallest value in -0.5, x, j? x Let i = 0 + -1. Let r = 53 + -51. What is the smallest value in i, r, -0.2? i Let m = 3.3 + 0.7. Suppose 11 = 3*h + 5*r, -r - 1 = -5. What is the third smallest value in h, 2/9, m? m Let m = -18 + 18.4. Which is the third smallest value? (a) 0.04 (b) 1/6 (c) m c Let y be (-3)/(-5) - 936/(-40). Let o be -2 + (-1)/((-11)/y). Let k = -0.4 + -0.1. Which is the smallest value? (a) k (b) o (c) -4 c Let v(w) = 24*w - 1. Let d be v(-1). Let l = d + 17. Let j = l - -3. Which is the third biggest value? (a) 2 (b) j (c) -1/4 b Suppose k - 5*g = -g + 1, 10 = -5*k + 5*g. Let d = 18.8 - 10.5. Let n = d - 8. Which is the biggest value? (a) n (b) k (c) -4 a Let v be 4/(-14) + 60/14. Let g = v - 3. Let n be 3*(g + 15/(-27)). Which is the smallest value? (a) 0.4 (b) n (c) -2/5 c Let y = 8 - 5. Let q = -2 + y. Let l = -6 - -10. What is the smallest value in -0.2, q, l? -0.2 Let o = -223 + 220.98. Let q = o - -0.02. Which is the third smallest value? (a) 2/11 (b) 5 (c) q b Let j = 95/4 + -24. Suppose -3*k - 291 = 3*x, 5*x + 46 = -k - 35. Let s = 905/9 + k. What is the second smallest value in s, j, 0.4? j Let m = 121 - 121.4. What is the third biggest value in -1, 2, m, 0.3? m Let y = -1.1 - -0.7. Let i = 3 + -2. Let f = -0.1 + 0.3. What is the second biggest value in y, i, f? f Let d = 0.1 + -0.1. Let r = -66 - -65. What is the smallest value in d, r, -4? -4 Let v = -3/2 - -29/14. What is the smallest value in -8, v, -2/19? -8 Let k = -555 - -10542/19. Let o = k - -59/133. Let n = 8 + -13. What is the third biggest value in n, -4, o? n Let v = 0.95 - 0.55. What is the fourth biggest value in v, -0.4, -7/2, -0.1? -7/2 Let t be ((-85)/68)/(2/8). What is the third biggest value in 3/2, t, -12? -12 Let w = -0.02 + -2.98. What is the second biggest value in w, 5/2, -0.1? -0.1 Let r = -36 - -23. Let n = 18 + r. What is the smallest value in 0.3, -2/7, n? -2/7 Suppose 3*y + 710 = -2*y. Let k = -992/7 - y. Which is the second smallest value? (a) k (b) -4/7 (c) 1/4 c Let x = -35 - -38. What is the biggest value in -4/9, x, -4? x Let q = -2 - -5.2. Let l = q + 0.8. Which is the second biggest value? (a) 3 (b) 0 (c) l a Let q = 5.7 - 11.7. Let t = -0.5 - -4.5. Which is the third smallest value? (a) -4 (b) q (c) t c Let a = -41 + 43. What is the smallest value in 1/2, a, 5, 1/4? 1/4 Let m = -2.01 + 0.01. Let f = -0.8 + 0.2. Let x = -0.4 + f. Which is the third smallest value? (a) 1 (b) m (c) x a Let z = 0.05 - -0.05. Let p = z + 3.9. Let w = -1 - p. What is the second biggest value in 2, w, -1/4? -1/4 Let o = 371 - 379.17. Let z = 0.17 + o. Let d = -8.3 - z. What is the second smallest value in d, -3, -2? -2 Let r = -4.7 - -2.7. Let h be (2/(-1))/(-2 - 0). Let x = h - 1. What is the biggest value in r, x, 1? 1 Let f = 0 + 0. Let n be f - 0 - 9/7. Let k = 6/7 + n. Which is the third smallest value? (a) 3/4 (b) -0.3 (c) k a Let l = -12837/1900 + 3/475. Let y = 7 + l. Which is the smallest value? (a) y (b) -5 (c) -3 b Let q = -5.2 + 1.2. Let h be 1/3*0 + 3. Which is the second smallest value? (a) h (b) q (c) 1 c Let l = -3.8 + 4. Let u = 68 - 68. Which is the biggest value? (a) u (b) l (c) 0.07 b Let x = 4.42 + 0.08. Let w = 0.5 - x. What is the third smallest value in 0.3, -0.4, w? 0.3 Suppose 4*s - 1 + 5 = 0. Let r be (-15)/9 - 2/(-3). Let c be (-8)/3*r/(-4). What is the second biggest value in s, 5, c? c Let t = -3.3 - -3. What is the fourth smallest value in t, 2/3, -3/2, -1/2? 2/3 Let o = -2.3 - -2. Let b = 0 - o. Let f(v) = 5*v + 1. Let m be f(-1). What is the third smallest value in -1/8, b, m? b Let g = -7 + 7.3. Let j = -0.3 + g. Let f = 0.7 + -1. Which is the smallest value? (a) f (b) j (c) 3/2 a Let t = 2 - 4. Let j = 20.52 - 21. Let y = -0.18 - j. What is the third biggest value in y, t, -4? -4 Let b = 5.9 + -6. Let i = -4.9 + b. What is the third biggest value in 0, i, -0.2? i Let h = -5.1 + 10.1. Which is the third biggest value? (a) -0.3 (b) h (c) 14 a Let r = -0.009 - -0.209. What is the biggest value in r, -5, 1, 0.08? 1 Let p = 22 - 21.8. Let n = -2354/4095 - -2/585. Which is the third biggest value? (a) n (b) p (c) 0.5 a Let i = -0.1 - 0.4. Let m = -1.1 + 0.1. Let d = m - i. Which is the third biggest value? (a) 1/3 (b) 2 (c) d c Let v be (-17)/(-4) - 40/10. What is the second smallest value in v, 1, 0, 7? v Let b be ((-2)/(-15))/((-4)/(-6)). Suppose -2*m + 7*m = 15, -5*a = m + 282. Let y = -341/6 - a. What is the second biggest value in y, 0.5, b? b Let c = 1 - 3. Let s = -21 + 29. Suppose -s = 2*x - 2. What is the biggest value in -4, c, x? c Let w = 1.2 + 3.8. Let d = 0.059 - 1.059. Which is the second smallest value? (a) d (b) w (c) -3 a Let i be 71/84 + -9*(-5)/(-60). Which is the second biggest value? (a) 2 (b) i (c) 5/6 c Suppose 5*q + 2*i + 2 + 3 = 0, q - 2*i = -13. Let p be -1 + 26/7 + q. Let t = -13 - -9. Which is the biggest value? (a) p (b) t (c) -1/2 a Let o = -74 + 42. Which is the smallest value? (a) -2/15 (b) 3 (c) o c Let n(k) = k**2 - 9*k + 5. Let w be n(9). Let t = -7.7 - -8. What is the third biggest value in t, 0.1, w? 0.1 Let f = 12 - -21. Let l be f/7 - (-4)/14. Let s be (-2)/(-3) + 0/(-5). Which is the biggest value? (a) 4/5 (b) s (c) l c Let z = -8.2 - -8.5. Let m = 0.1 + 0.4. Which is the third biggest value? (a) z (b) m (c) -5 c Let q = 2.6 - 1.6. Let z = -4 - -7. Let v = -2.8 + z. What is the second smallest value in 4, q, v? q Let m(d) = -4*d**2 + 27*d + 39. Let q be m(8). Let o(v) = v**3 - 4*v**2 - v - 1. Let g be o(4). Which is the biggest value? (a) q (b) g (c) 4 c Let f be (-6)/(-45) - 0/(-5). Let v = 2.2 - 2. Let k = v + -0.3. Which is the second biggest value? (a) f (b) -5 (c) k c Let t = 0.3 + -0.5. Which is the second biggest value? (a) 2/11 (b) -4/7 (c) t (d) 2/7 a Let r = -80 - -481/6. What is the third biggest value in 5, -1/6, r, 2? r Let h = -11/3 + 3. Which is the second smallest value? (a) -1/4 (b) 11/3 (c) h a Let i be 0 + 3 + (-2 - (-190)/(-175)). What is the third biggest value in -0.5, 0.2, i? -0.5 Let x = 2.4 + -3. Let o = 0.4 + x. Suppose -4*p + 3 = 7. What is the biggest value in -2/5, o, p? o Let d = -0.05 - -5.05. What is the smallest value in -0.5, -2, d? -2 Let v = -47 - -47. Which is the second smallest value? (a) -6 (b) 2/9 (c) v c Let p = 45 + -494/11. Which is the smallest value? (a) -0.1 (b) p (c) 1/8 (d) -1/6 d Let t be (3 - -1) + -2 + 2. Let f be (2/t)/((-3)/12). Let g = 1 + 3. What is the second biggest value in g, 0.3, f? 0.3 Suppose 3*x + 6 = x. Let u = -0.9 + 1. Suppose r + 2*r = 3. Which is the smallest value? (a) x (b) r (c) u a Let g = -0.04 + 0. Let c = -2.96 + g. What is the second smallest value in 3, -2/7, c? -2/7 Suppose -13 = -2*g - 5*x, -2*x + 10 - 4 = g. Suppose 0*s - l = -g*s + 16, 2*l = -8. Which is the smallest value? (a) 7 (b) 5/3 (c) s b Let c = 7 - 12. Let x be 4/9*c - -2. What is the third biggest value in -2, x, 0? -2 Let r be (-80)/70*1/4. Let z(p
{ "pile_set_name": "DM Mathematics" }
3. Give x(-196). 789 Let o(w) = -16*w**2 + 59254*w - 472999. Determine o(8). 9 Let n(r) = -8948*r + 26158. Give n(3). -686 Let d(p) = -17*p**2 + 1232*p - 357. What is d(72)? 219 Let b(q) = 2*q**3 + 2*q**2 + 340*q - 1867. Determine b(5). 133 Let o(h) = 2*h**3 + 5*h**2 + 1155*h - 6173. What is o(5)? -23 Let u(z) = 47*z**2 - 819*z - 14. What is u(15)? -1724 Let r(i) = i**3 - 262*i**2 - 523*i - 3735. What is r(264)? -2415 Let w(m) = 1844*m + 18390. Give w(-10). -50 Let k(t) = -t**3 + 103*t**2 - 189*t - 11105. What is k(100)? -5 Let g(x) = -555*x + 523. Give g(0). 523 Let f(s) = -151993*s + 303982. Determine f(2). -4 Let n(k) = 94*k**2 - 14*k - 27. Calculate n(1). 53 Let h(d) = -709*d**2 + 78027*d - 4032. Determine h(110). 38 Let p(u) = -u**2 + 8*u + 156. Give p(-13). -117 Let i(j) = 2*j**3 + 35*j**2 - 57*j + 851. What is i(-20)? -9 Let y(p) = -2*p**2 - 222*p + 11710. What is y(39)? 10 Let z(x) = -472*x + 42966. What is z(91)? 14 Let d(v) = 2931*v + 103151. Give d(-35). 566 Let z(y) = -y**3 + 23*y**2 + 172*y - 35. What is z(29)? -93 Let t(c) = 33*c**2 - 8647*c + 34307. Determine t(258). -7 Let c(g) = 41863*g - 4018850. Give c(96). -2 Let a(f) = -1038*f + 146430. Calculate a(141). 72 Let t(o) = 48*o**2 - 460*o + 1388. Calculate t(3). 440 Let g(i) = 3*i**2 - 847*i + 6571. Calculate g(8). -13 Let v(r) = -2531*r + 1314. Calculate v(1). -1217 Let d(o) = -8*o**2 - 556*o + 22838. Calculate d(29). -14 Let h(t) = 2*t**3 - 6*t**2 - 30*t - 96. Determine h(-9). -1770 Let u(r) = 5693*r - 124545. Calculate u(22). 701 Let y(x) = 14272*x - 499583. Calculate y(35). -63 Let a(g) = -g**3 - 5*g**2 - 31*g + 32. Determine a(1). -5 Let x(u) = -u**2 - 12757*u + 63822. Give x(5). 12 Let s(a) = 56*a**3 + 51*a**2 - 106*a - 1. Give s(2). 439 Let u(a) = 21789*a**2 + 261472*a + 49. Give u(-12). 1 Let a(w) = -10*w**3 - w**2 - 53829*w - 53829. Give a(-1). 9 Let l(u) = 84*u**2 - 1043*u - 17806. Calculate l(22). -96 Let l(d) = -11266*d - 225415. Give l(-20). -95 Let m(o) = 322*o + 18017. Calculate m(-56). -15 Let u(w) = -15481*w - 77474. Give u(-5). -69 Let a(k) = 56043*k + 2017528. Calculate a(-36). -20 Let c(d) = -13*d**3 + 345*d**2 + 135*d + 741. Calculate c(27). 12 Let m(r) = -59*r**2 - 67*r + 174. Determine m(5). -1636 Let s(y) = -4*y**3 + 2*y**2 + 9*y - 53. What is s(4)? -241 Let a(l) = -11365*l - 193192. What is a(-17)? 13 Let t(q) = 336*q + 59266. Determine t(-177). -206 Let x(w) = 642*w + 6869. Give x(-10). 449 Let o(h) = 2*h**3 + 9*h**2 - 198*h - 216. Calculate o(-12). 0 Let d(l) = 3035*l + 1566074. Calculate d(-516). 14 Let p(y) = 504*y + 103953. Give p(-206). 129 Let k(n) = -n**2 - 312*n - 153. What is k(0)? -153 Let v(g) = -g**2 - 4619*g - 1145619. Calculate v(-263). 9 Let a(y) = 2*y**3 + 602*y**2 + 2402*y + 103. Calculate a(-4). -1 Let g(v) = v**3 + 121*v**2 - 1283*v - 271. Give g(10). -1 Let k(i) = -137*i**2 + 90148*i - 1312. What is k(658)? 4 Let k(t) = -17*t**2 - 322*t + 585. Determine k(-19). 566 Let n(w) = 39*w**2 + 16346*w + 114478. Give n(-7). 1967 Let s(j) = j**3 - 35*j**2 - 494*j - 374. Give s(46). 178 Let t(m) = -395502*m + 790995. What is t(2)? -9 Let d(x) = 3*x**3 + 7*x**2 + 38*x + 373. Give d(-7). -579 Let l(f) = -54*f + 2909. Give l(71). -925 Let a(c) = 2*c**3 - 302*c**2 + 2295*c - 929. What is a(143)? 72 Let b(h) = -203*h - 2698. Determine b(-15). 347 Let c(b) = b**3 + 1224*b**2 + 161102*b + 259. Calculate c(-150). -41 Let k(b) = -b**3 + 21*b**2 - 440*b + 13473. What is k(25)? -27 Let p(l) = -43015*l + 172060. Determine p(4). 0 Let l(w) = -7*w**3 - 7*w**2 - 28*w + 116. Calculate l(4). -556 Let l(f) = 13*f**3 + 40*f**2 - 64*f - 175. Determine l(-3). 26 Let j(r) = 607*r + 64229. What is j(-106)? -113 Let r(w) = -2*w**2 - 2308*w + 1310201. What is r(417)? -13 Let j(n) = -4*n**3 + 113*n**2 - 798*n + 7. Give j(14). 7 Let v(i) = 106*i + 27081. Determine v(-251). 475 Let m(w) = w**3 + 24*w**2 - 71*w - 1166. Calculate m(-25). -16 Let h(s) = 25509*s - 229591. Calculate h(9). -10 Let d(m) = -33090*m - 33073. Determine d(-1). 17 Let j(a) = -24*a**3 - 282*a**2 - 201*a - 7. Calculate j(-11). 26 Let d(w) = -52124*w + 6880374. Determine d(132). 6 Let x(q) = 1492*q + 77004. Determine x(-52). -580 Let y(z) = -z**2 - 366*z + 152232. What is y(-614)? -40 Let w(f) = 6995*f - 62962. What is w(9)? -7 Let m(q) = -q**2 + 30*q + 3953. What is m(-60)? -1447 Let i(g) = 2276537*g + 6829604. Calculate i(-3). -7 Let c(a) = -2*a**3 + 24*a**2 + 25*a - 389. Calculate c(13). -402 Let b(u) = -u**3 - 114*u**2 - 3198*u + 938. What is b(-63)? -7 Let q(p) = -12651*p + 88548. Give q(7). -9 Let l(t) = 16*t**2 - 18*t - 298. Give l(0). -298 Let q(s) = -2411*s - 67703. Give q(-28). -195 Let k(x) = x**3 + 28*x**2 + 151*x - 622. Give k(-12). -130 Let d(p) = 986*p + 4992. Determine d(-5). 62 Let s(t) = -233*t + 3168. Determine s(9). 1071 Let y(s) = -s**2 - 317*s + 5675. What is y(17)? -3 Let k(j) = 59*j**3 - 2414*j**2 - 186*j - 727. Calculate k(41). 52 Let q(w) = -2*w**3 + 2*w**2 - 62*w - 375. What is q(-5)? 235 Let c(w) = w**3 - 4*w**2 - 83*w + 113. Calculate c(13). 555 Let r(h) = -223*h - 2542. Calculate r(-12). 134 Let g(y) = -2267*y + 15860. Calculate g(7). -9 Let m(x) = x**3 - 109*x**2 - 219*x + 8. What is m(-2)? 2 Let s(m) = -m**2 - 1078*m - 52404. Determine s(-1027). -27 Let r(d) = -7*d**3 - 729*d**2 + 2264*d - 70. Calculate r(3). -28 Let p(y) = -y**2 - 78*y + 2830. What is p(-105)? -5 Let d(r) = -r**3 + 34*r**2 + 40*r - 329. Give d(35). -154 Let i(w) = 184*w**2 - 61880*w + 18792. Give i(336). -24 Let g(n) = 2*n**3 + 85*n**2 - 1123*n - 180. What is g(-53)? 350 Let j(f) = -370*f**2 + 28862*f + 212. What is j(78)? 368 Let m(c) = c**3 - 24*c**2 + 145*c + 122. Give m(18). 788 Let r(n) = -n**3 - 4*n**2 + 106*n + 636. Determine r(-7). 41 Let i(u) = 638*u - 222595. Calculate i(349). 67 Let g(t) = -420*t - 18877. Calculate g(-45). 23 Let n(x) = 4014*x - 16189. Calculate n(4). -133 Let c(r) = -12*r + 902. Determine c(-3). 938 Let x(p) = -p**3 - 23*p**2 + 2345*p + 58812. Determine x(-26). -130 Let p(i) = 7*i**3 - 184*i**2 + 634*i + 572. Give p(5). 17 Let u(j) = -209*j**2 - 540*j - 41. Give u(-3). -302 Let f(t) = t**3 + 996*t - 8479. What is f(8)? 1 Let g(p) = -p**2 + 313*p - 14257. Give g(55). -67 Let r(z) = 220*z**2 + 66662*z + 45. Determine r(-303). -561 Let t(s) = -12034*s - 48186. Determine t(-4). -50 Let d(p) = 118*p**2 - 3137*p + 9740. Determine d(23). 11 Let a(z) = -z**3 - 74*z**2 + 404*z + 24670. Give a(-75). -5 Let i(z) = -57*z**2 + 4236*z + 192. What is i(75)? -2733 Let r(k) = -2*k**2 - 6736719*k - 13473438. What is r(-2)? -8 Let z(b) = 469*b - 30479. Calculate z(64). -463 Let g(h) = 7103*h + 78177. Give g(-11). 44 Let a(s) = 847*s + 6356. Determine a(-6). 1274 Let b(u) = -u**2 + 124453*u + 4979716. What is b(-40)? -4 Let g(f) = -2277*f + 11384. Give g(5). -1 Let h(j) = 47*j**3 + j**2 - 5681*j - 5683. Determine h(-1). -48 Let c(m) = -m**3 - 5*m**2 - 41*m - 339. What is c(-6)? -57 Let r(w) = -w**3 + w**2 + 6563*w - 45873. Give r(7). -226 Let p(m) = -181*m**2 - 1202*m + 479. What is p(-7)? 24 Let p(v) = 36587*v - 951400. What is p(26)? -138 Let n(v) = -104*v**2 + 150*v - 119. Calculate n(6). -2963 Let q(y) = y**2 - 511*y - 47272. Determine q(-80). 8 Let n(m) = 9502*m + 2660557. What is n(-280)? -3 Let o(p) = -6534*p - 98130. Give o(-15). -120 Let y(l) = 206*l**2 - 3206*l + 1741. Calculate y(15). 1 Let w(c) = c**3 - 35*c**2 - 44*c + 7265. Determine w(22). 5 Let x(c) = 5370*c - 263159. What is x(49)? -29 Let x(a) = -8219*a - 387086. What is x(-47)? -793 Let z(f) = -16265*f + 406633. Determine z(25). 8 Let r(d) = 1807*d + 18097. Give r(-10). 27 Let r(h) = -h**3 - 44*h**2 + 3500*h + 139097. Determine r(-37). 14 Let g(r) = -2*r**3 - 194*r**2 - 375*r - 330. What is g(-95)? -805 Let u(q) = -121*q**2 + 18151*q - 150. What is u(150)? 0 Let d(c) = -26688*c + 160071. Calculate d(6). -57 Let l(n) = 78973*n + 631791. Determine l(-8). 7 Let y(v) = 2*v**3 + 929*v**2 - 506*v - 19080. Give y(-465). -15 Let g(i) = i**3 - 63*i**2 - 547*i + 4. Give g(-7). 403 Let v(j) = -j**3 + 33*j**2 + 420*j + 472. Determine v(43). 42 Let n(j) = -j**3 + 65*j**2 + 1594*j - 43. Calculate n(-19). -5 Let j(x) = 80*x**2 + 682*x - 4003. Give j(6). 2969 Let u(d) = d**3 - 28*d**2 - 358*d + 934. Determine u(37). 9 Let l(y) = 3*y**3
{ "pile_set_name": "DM Mathematics" }
.7153. -42222.1153 Sum -5 and -5512.6254991. -5517.6254991 What is -0.02 + -108257751333? -108257751333.02 What is 397 - -879.72052? 1276.72052 Sum -0.1 and 50908991.8482. 50908991.7482 Add together -4 and 122162885327. 122162885323 What is 35905583169.079 plus 0.4? 35905583169.479 Total of -69738063.4 and -0.041. -69738063.441 Add together 1329.69273 and 952.8. 2282.49273 What is the difference between -0.2785 and 1235780127? 1235780127.2785 Calculate -83764245.6 + -148. -83764393.6 Work out -22 - 275185846.54. -275185868.54 What is 0.16 + -140227.3455? -140227.1855 Work out 7612650 + 2706965. 10319615 Put together -11268.3 and -1449643279. -1449654547.3 Subtract -40394.998709768 from 5. 40399.998709768 Calculate 17461.637727 - 42. 17419.637727 Add -210.0825001 and 66803. 66592.9174999 What is 3 - 11082.855205? -11079.855205 Calculate 3147980714 + 71832. 3148052546 What is 3569 take away 762153561? -762149992 What is the difference between 1.18 and 1.1471664971? 0.0328335029 Work out -35322717230 - -2. -35322717228 Sum -79563132563309 and -0.5. -79563132563309.5 What is 0.34480197 - -871227? 871227.34480197 What is -0.0078531 + 0.24698? 0.2391269 What is -9746476 take away -574.6649? -9745901.3351 What is -10858.6 less than 84.4742? 10943.0742 What is 84517 less than -2507142? -2591659 What is -2845.04 - 21618.684? -24463.724 Work out -309.19 + 2.1736408. -307.0163592 What is 105398 less than 21928586? 21823188 Subtract -0.1 from 328439211803319. 328439211803319.1 What is -4855 + 133549176? 133544321 What is 19684.8810577952 less than -0.4? -19685.2810577952 6547 - -3.470181 6550.470181 153114608 - -20.7177 153114628.7177 What is the distance between -16.247860776 and -0.2631? 15.984760776 Calculate -0.1076 + 138213683092. 138213683091.8924 Sum 1069.68 and 238095. 239164.68 Subtract 17463.7694 from 28315. 10851.2306 What is -64698315901333 less than 0.5? 64698315901333.5 What is -101822 take away 0.009682207? -101822.009682207 What is -27.8 - 144277935141? -144277935168.8 Calculate -105 - -0.558746736. -104.441253264 What is -543590529 - 8.19? -543590537.19 What is the difference between -62186 and 16.090492? 62202.090492 0.099274 - -2786834 2786834.099274 What is the difference between 16965.1 and -28.35? 16993.45 Work out 34.8 - 1913747073032. -1913747072997.2 Add together -66485 and -809130. -875615 -6529.565+-103546 -110075.565 Calculate 308973290228 + 4. 308973290232 Calculate 3 + 1518435.90762. 1518438.90762 What is 0.5 - -0.1935273011078? 0.6935273011078 -0.087735+-1442134840 -1442134840.087735 Calculate 0.064 + 6702610815492. 6702610815492.064 Total of -18200 and 0.007187585. -18199.992812415 Total of -565.912 and -1.765518. -567.677518 What is 391158640 - 0.115484? 391158639.884516 What is 148468521.715 take away -0.09? 148468521.805 What is -9 + 18161681617625? 18161681617616 Total of -131704.6 and -570165.4. -701870 Sum -0.57435 and -0.125413826. -0.699763826 What is -3401194 less than -65350? 3335844 What is -4.722805 less than 33859? 33863.722805 Calculate 3065 - -1873545.898. 1876610.898 -4263.6011 + -3.021 -4266.6221 What is 157 + -2007064660? -2007064503 What is -0.4 less than -56925718886278? -56925718886277.6 Work out -8008839 - -11539. -7997300 Calculate 89373 - -3.83275984. 89376.83275984 -22015021 + -49464 -22064485 What is 14355904 + 8527? 14364431 What is 0 less than 337365062252? 337365062252 Calculate 75.04 + -78440598. -78440522.96 Add 2494758 and -192843. 2301915 What is -206.34 - 110700355? -110700561.34 -378188927.72 + -1.77 -378188929.49 What is 404087 less than -1657.298092? -405744.298092 What is the difference between -0.4 and 215049587336? 215049587336.4 Put together 126478.18 and -229427. -102948.82 Put together -5.9595375 and -0.12361. -6.0831475 -1.35247 + 27.28318 25.93071 Calculate -1610257121 - -0.124. -1610257120.876 What is 1.4050720512269 - -3? 4.4050720512269 What is the difference between -5 and -63678094962? 63678094957 Calculate 51792567.61 - 1.625. 51792565.985 What is -2 take away -27636412334120? 27636412334118 Work out 19515381 + 286.471. 19515667.471 Work out 182 + 8.917841. 190.917841 Add together -3962953.929762 and 0. -3962953.929762 Subtract 8.643387651 from -0.84. -9.483387651 What is -75.597601088 plus -61? -136.597601088 Sum -3 and -207043969236. -207043969239 Subtract 159370407 from -0.133996. -159370407.133996 Calculate -2926804900 + -0.47. -2926804900.47 -7328 + -1111377451 -1111384779 Calculate -5.48 + -39376.8826321. -39382.3626321 What is 0.1 plus -3170.786846? -3170.686846 Subtract 8106767052797 from -3. -8106767052800 What is 27607057 + -42409? 27564648 What is the distance between -24 and -55177898.91? 55177874.91 What is -311238251630 take away -2.951? -311238251627.049 What is -3082 less than 259577.01763? 262659.01763 What is 7 - -351406411? 351406418 Work out -129625749 + -41322. -129667071 0.69 + -4.044602986 -3.354602986 What is -30643508839 + -5.5? -30643508844.5 What is -0.134146272 plus 8803? 8802.865853728 What is 271645817 - -12960? 271658777 What is the difference between 0 and 89944774437.4? 89944774437.4 Add -75.3 and 45449872618. 45449872542.7 Calculate -1 + 719165.4932457. 719164.4932457 Subtract -0.6 from 91540570798. 91540570798.6 Work out 38.5978919 - -4227. 4265.5978919 Calculate -204060 + 1669479. 1465419 Calculate -6849 + 2933.53719. -3915.46281 Add together -2544 and -93920472194. -93920474738 Add together 10940018742 and -14. 10940018728 -74807170 - 275384 -75082554 What is -1468253429.5 take away 2.32? -1468253431.82 What is 1420137666971 minus 5? 1420137666966 What is -10 minus -3420116138412? 3420116138402 0.02 + 453058352397 453058352397.02 What is -0.1 less than -0.04382161077703? 0.05617838922297 Total of 0.009 and 145684493.8028. 145684493.8118 Calculate 0.2 + -5013225276691. -5013225276690.8 Add -0.236 and 3.1521776713. 2.9161776713 Put together 57953717994.36 and 0.2. 57953717994.56 Work out -0.2 - 1775974.8071. -1775975.0071 -842+410662562 410661720 What is 28505515224 minus -5? 28505515229 Sum -22 and 16421727312. 16421727290 693548.682 - 31 693517.682 What is -3253460 + 4391? -3249069 Add together -61414 and 45204163. 45142749 Subtract 13188 from -4939.4833. -18127.4833 Work out -2022911.73 + 419. -2022492.73 What is -0.15 + 542905385.0886? 542905384.9386 What is 224900 minus -0.109464856? 224900.109464856 Add -14171314922689 and -3. -14171314922692 What is 465523262 plus 12170? 465535432 Subtract 6.9 from -26600201539.7. -26600201546.6 Calculate -29927566 + 2393127. -27534439 What is 530815051 + -362.84? 530814688.16 What is -5.34 + -255318224? -255318229.34 Put together 3618560 and -5614722. -1996162 Work out -331635751.35 - -29. -331635722.35 -2237057860430.8 + 39 -2237057860391.8 Work out -236.9 - -299607004. 299606767.1 What is -1004274.2817 plus -327? -1004601.2817 Add together 32.347250212866 and 1. 33.347250212866 What is -419589 plus 4.810559? -419584.189441 Calculate 94 - 36955326592. -36955326498 What is -3.938855349 - 11299? -11302.938855349 Calculate -29 + -547552804. -547552833 What is the distance between -0.0148 and -342939584738? 342939584737.9852 What is -248.567 take away 28242754? -28243002.567 Put together -6930686 and 13.149. -6930672.851 Work out -683083701 - -139. -683083562 What is -3728734.6 less than 2.0615? 3728736.6615 -35768661.58719+-0.3 -35768661.88719 -0.01 + -638875383894 -638875383894.01 Work out 0.27914477456 - 0. 0.27914477456 What is 293 less than 1.853225672? -291.146774328 2.3 + 5928889098 5928889100.3 Total of -331 and -0.0502128527. -331.0502128527 Subtract -547.57 from -73373168. -73372620.43 What is -48616.9491355 take away -4.9? -48612.0491355 -0.0455565+39652.6 39652.5544435 -150.893321+-1148 -1298.893321 16905.845601+-24 16881.845601 Work out -58.34548 - 0.77665. -59.12213 Sum -3 and 1896.5596797281. 1893.5596797281 What is the difference between 0 and -66745319583452? 66745319583452 110509452737 - 0.07 110509452736.93 What is -0.97 + 19228321240? 19228321239.03 Add 232531.4 and -725571. -493039.6 195962.7668 + 0.3 195963.0668 What is -0.3 minus 586183.880578? -586184.180578 What is 20 minus -193574.1088? 193594.1088 What is the difference between 5.5 and -5054380334.783? 5054380340.283 Wh
{ "pile_set_name": "DM Mathematics" }
(-126)*(-10)/(-5) 1/42 What is (-9*4/(-6))/((-2)/(-75)*15)? 15 1*(-299)/(138/6) -13 What is (4/(-18))/(310/(-465))? 1/3 Calculate ((-112)/220)/(-7)*60/24. 2/11 What is the value of (-2*14/(-8))/(91*113/1469)? 1/2 What is ((-315)/(-14))/(-9)*(-4)/140*6? 3/7 What is the value of 108/1053*45/(-30)? -2/13 Evaluate 4*30/52*(-5)/25. -6/13 Evaluate ((-32)/(-36))/(250/1050*(-21)/(-90)). 16 Evaluate (-31)/((-11718)/441)*(-18)/(-28). 3/4 What is the value of 1/8*(-976)/1342? -1/11 Calculate (110/(-100)*12/(-11))/(4/(-10)). -3 Calculate (-1)/((1/3)/((-98)/28*2)). 21 What is -12*(-1)/22*-11? -6 What is the value of ((-10*(-5)/50)/((-2)/16))/(-5)? 8/5 What is ((-12)/(-75)*210/(-14))/(12/45)? -9 ((-84)/(-312))/(32/104) 7/8 Calculate ((-1)/(3/30))/(222/(-111)). 5 Evaluate (-8)/(-16)*(-2)/38*14/7. -1/19 10/(5/((-60)/(-8))*18/(-6)) -5 Evaluate (((-7)/(-42))/(2/24))/((-4)/24). -12 What is the value of 1323/(-588)*(-80)/(-510)? -6/17 ((-6)/12)/(((-532)/(-24))/7) -3/19 Evaluate (8*42/(-448))/((-18)/624). 26 Evaluate (52/8)/((-27)/(-54)). 13 Evaluate ((-7)/(42/2))/(-13)*300/10. 10/13 Evaluate (-5)/(-20)*(-40)/310. -1/31 Calculate (-6)/63*(((-42)/10)/3)/1. 2/15 What is ((-11)/(-165))/((-46)/138)? -1/5 Evaluate 7329/5235*-1*2/(-14). 1/5 What is the value of (-8)/((-36)/(-18))*(-18)/8? 9 Evaluate (-3)/((6/9)/(((-70)/63)/(-5))). -1 Calculate (588/3920)/(9/(-165)). -11/4 Calculate ((-32)/(-768))/(1/(-9)). -3/8 Calculate (-5)/((-8)/8*2/8). 20 What is the value of 16/(-18)*(-1602)/356? 4 Evaluate (-315)/(-189)*2/(10/(-9)). -3 What is the value of (5*328/(-615))/(10/6)? -8/5 What is the value of ((-175)/(-600))/((-15)/50*15/(-18))? 7/6 Calculate 255/1173*(-4)/(-10). 2/23 Evaluate (-15)/(-63)*(-6)/15*(-924)/(-198). -4/9 Evaluate ((-5)/55)/(4*5/40). -2/11 (((-32)/(-12))/4)/(12*2/(-9)) -1/4 Calculate 2/(-4)*(-76)/399*3. 2/7 (-54)/24*60/(-15) 9 What is the value of (((-11)/(-2))/(-11))/(((-11)/11)/(-22))? -11 What is the value of 330/(-220)*2/(-6)? 1/2 (((-2)/4)/1)/(683/16392) -12 Calculate 26/3*(-8232)/(-4459). 16 Calculate 1/((-12)/((-96)/(-8))). -1 What is (16/(-16)*-11)/(21/42)? 22 Evaluate 154/((-44)/2)*(-3)/28*4. 3 Evaluate (2/8)/((-283)/10188). -9 Calculate ((-14)/90)/(266/(-228))*2/(-4). -1/15 -27*2/(-4)*(-208)/(-312) 9 What is the value of 4/(-18)*(-81)/(-17766)*47? -1/21 Evaluate ((-4)/((-12)/(-3)))/((-14)/(420/(-110))). -3/11 (-2)/30*(-1)/(9*(-2)/60) -2/9 What is the value of (17/(-2))/(10*33/(-660))? 17 Evaluate ((-18)/(-8))/((-25)/(-200))*(-20)/60. -6 Calculate (15*((-168)/16)/(-7))/((-6)/(-4)). 15 What is -9*(-30)/405*((-99)/(-2))/3? 11 What is (262/(-7860))/(3/12*-1*-2)? -1/15 What is the value of (((-693)/55)/7)/(2/10)? -9 Calculate (-392)/(-14)*(-4)/(-8). 14 What is 3*160/45*(-9)/6? -16 Evaluate (792/352)/(1/(-4)). -9 Evaluate ((-30)/900)/((-14)/(-490)). -7/6 What is 51/(1428/16)*(-196)/4? -28 What is the value of (-27)/(-5)*(-403)/(-1209)*(-5)/3? -3 Evaluate 560/70*(-6)/(-8). 6 (1/3)/(((-160)/45)/8) -3/4 Evaluate ((-4)/11)/(800/(-2640)). 6/5 What is the value of ((21/(-14))/3)/((-7)/7)? 1/2 What is the value of (84*25/750)/((-2)/(-10)*-1)? -14 Calculate 27/(-6)*(-196)/882. 1 What is the value of ((35/(-21))/(-1))/((-20)/(-156))*-1? -13 What is ((-1764)/(-189))/(-7)*(-18)/(-44)*-1? 6/11 Calculate (-1)/18*-24*(-33)/(-132). 1/3 What is 11492/16900*(-5)/(-1)? 17/5 Calculate (542/(-14634))/((-2)/(-9)). -1/6 What is (-53)/((-1590)/(-10))*3/5? -1/5 What is the value of 5915/(-676)*4/25? -7/5 What is 300/20*(-34)/51? -10 What is 3*((-286)/(-66))/(3/(-3))? -13 ((-2190)/1460)/(2/(-4)) 3 ((-1456)/(-2184))/(1/(-39)*2) -13 What is ((-22)/(10868/(-39)))/(1/(-2)*-3)? 1/19 20/(-2)*(-3)/2 15 What is the value of ((-4)/10)/(-209*(-73)/13870)? -4/11 What is ((-2156)/(-196))/(2/(-6))? -33 What is the value of 5*(-2)/(-100)*30/6? 1/2 What is the value of (9/(-5))/(207/35880*182)? -12/7 Calculate (-6*2/30)/(162/(-135)). 1/3 What is the value of (-1)/138*-8*93/1364*-11? -1/23 What is the value of (-4)/(-40)*(-64)/(-40)*-5? -4/5 Calculate (77/21)/((-110)/(-90)). 3 What is 9/(-27)*((-33)/(-6))/(8/(-48))? 11 Evaluate ((-68)/(-1190))/(30/300). 4/7 ((2088/(-126))/29)/(2/7) -2 Evaluate ((-2)/(-6))/(13/1404*63). 4/7 What is the value of (976/(-278160))/(1/10)? -2/57 What is the value of ((-2)/(-35))/((-4)/5)*(-2898)/552? 3/8 2/(-8)*2*625/250 -5/4 Calculate 17*(-30)/(7140/(-322)). 23 Calculate ((-2)/10)/((280/6800)/7). -34 (-4188)/(-19195)*-10*(-3)/18 4/11 -24*2/(-4)*(-47)/(-94) 6 (27/96)/((-171)/(-228)) 3/8 Calculate ((384/(-22))/24)/(5/(-110)). 16 What is the value of (3840/288)/((-5)/12)? -32 Evaluate (-2)/(-12)*(-576)/432. -2/9 Calculate (658/(-564))/(14/(-6)). 1/2 Evaluate ((-48)/(-27))/(-30*30/(-675)). 4/3 12/(-10)*40/12 -4 Evaluate ((2400/70)/6)/(16/(-56)). -20 (28/24*2)/(260/390) 7/2 Calculate ((-84)/36)/((-196)/252)*(-1)/(-87). 1/29 Evaluate ((-6)/8)/((1/(-7))/(170/4165)). 3/14 (63/(-35))/(45/15) -3/5 What is (((-1)/1)/((-3)/15))/(31/(-62))? -10 Evaluate (-10)/1*611/(-940). 13/2 What is the value of (-24*(-11)/2464)/((-216)/126)? -1/16 What is (4/(-40))/((-165)/6600)? 4 Calculate 1/(((-41)/(-2))/(-41))*(-7)/(-2). -7 What is the value of ((-12)/35)/6*6/((-600)/(-140))? -2/25 What is the value of ((-30)/(-45))/((-3)/(-6)*(-8)/(-42))? 7 Evaluate (-5)/20*120/(-25)*(-10)/(-4). 3 ((-120)/210)/(52/14) -2/13 Calculate ((-3)/(-3)*3/(-12))/((-31)/(-372)). -3 Calculate -3*19/114*2*8. -8 What is ((-1)/4*6)/(1851/35786)? -29 What is the value of (66/24)/(((-112)/16)/(-28))? 11 Evaluate (-80)/12*(-9)/90*5. 10/3 Calculate (26/((-884)/153))/(6/8). -6 3/(-6)*7/((-56)/(-8)) -1/2 Evaluate 50*((-9)/12)/(30/20). -25 What is 4*(4/24*3)/(27/243)? 18 What is the value of (-4)/10*150280/(-3536)? 17 Calculate 6*5/(-180)*(-8)/14. 2/21 Calculate 6*2*((-189)/14)/27. -6 What is (((-30)/(-675))/1)/((-10)/50)? -2/9 29/((-261)/(-1))*-3 -1/3 What is the value of (144/(-2))/(5896/2948)? -36 What is the value of (((-318)/(-7844))/(2/(-4)))/((-3)/2)? 2/37 (-4354)/2488*(-8)/(-42) -1/3 (12/(-66))/(28/1260*15) -6/11 What is 3/(-2)*(-12)/36*24/(-30)? -2/5 Evaluate (25/(12250/60))/(8/28). 3/7 Calculate ((2200/(-60))/22)/(5/15). -5 (6*3)/((-231)/22)*1 -12/7 Calculate (12/5)/1*(-50)/(-310)*31. 12 Evaluate (6/(-12))/(((-1309)/(-28))/11). -2/17 Evaluate ((14/(-4))/(-7))/(3/(-114)). -19 What is 2*(-15)/(-10)*20/20? 3 What is (6/8)/(4452/(-848))? -1/7 What is (44/308)/((-8)/7)? -1/8 What is the value of ((-20)/(-105)*5)/((12/7)/(-4))? -20/9 What is the value of 4/(12/3)*1*(-12)/(-30)? 2/5 What is the value of 3/(6/(-80))*128/(206080/(-138))? 24/7 Evaluate ((-57)/(-5))/((114/133)/((-20)/(-14))). 19 Calculate -6*(-48)/(-1512)*(-9)/(-2). -6/7 Calculate (-6*2/(-252))/(6/36). 2/7 What is the value of -9*(-6)/70*1225/(-735)? -9/7 What is (5082/(-1089)*8/14)/(1/6)? -16 What is the value of 8*(-13)/104*13? -13 (-102)/(-4)*((-4644)/(-162))/(-43) -17 Calculate ((-1391)/428)/(2/8). -13 What is (17/(4845/38))/(1*2)*24? 8/5 299/1196*(-8)/(-2)*8 8 Calculate (-84)/14*(-85)/(-204)*4/10. -1 Calculate 5*-1*(-686)/686. 5 (1022/(-1533))/((-2)/15) 5 What is (11*3/77)/(16/(-28))? -3/4 Evaluate ((-15400)/(-3465))/((-5)/(-1)). 8/9 What is the value of (-8)/(-13)*(-25779)/(-661)? 24 What is 12/2*(-3)/198*3? -3/11 (-17)/85*3/18*15 -1/2 What is -1*9*26/(-585)? 2/5 (-3456)/(-108)*(-6)/12 -16 What is (225/(-150))/(405/12)? -2/45 Calculate (-2989)/(-3416)*8/1. 7 Calculate (6/(-5))/((-27)/((-2025)/(-6))). 15 Calculate (8/((-16)/(-10)))/4. 5/4 Evaluate (((-2)/95)/(-1))/(176/(-880)). -2/19 (10/15*8)/((12/(-9))/(-2)) 8 (-22)/(-33)*(-36)/(-40) 3/5 Evaluate -6*2/(20/6)*(-4)/(-12). -6/5 (12*15/(-240))/((-21)/2) 1/14 Evaluate 24/(-9)*(-72)/42*(-3)/24. -4/7 ((-429)/(-234))/(15/(1170/(-13))) -11 Evaluate (3/(-27))/(56/2520). -5 Evaluate 154/(-55)*(-125)/300. 7/6 What is 43/(-86)*((-56)/(-7))/((-2)/6)? 12 Evaluate ((-3)/20*10/4)/(221/1326). -9/4 What is the value of (3*(-6)/9*15/10)/1? -3 What is the value of ((-4536)/(-135))/((-192)/(-120))? 21 What is ((-3)/(-12))/((-576)/768)? -1/3 Evaluate (37/(111/4))/((-1)/((-78)/(-4))). -26 Evaluate (((-624)/(-36))/(18/(-27)))/(-2). 13 What is the value of (176/(-132))/(16/(-6))*4/(-33)? -2/33 (4/8)/((-3)/15)*36/(-15) 6 Calculate 12/(-9)*(-1925)/(-550). -14/3 6/(-7)*(-1232)/(-88) -12 Calculate (-45)/15*6/(-18)*(-162)/6. -
{ "pile_set_name": "DM Mathematics" }
+ 5*o + 57, -2*c - 37 = -3*c + o. Calculate the remainder when c is divided by 17. 15 Let g = 9 - 6. Suppose 20 = -4*b, g*b + 6 = -0*x - x. What is the remainder when 34 is divided by x? 7 Suppose -494 = -5*v - 9. Calculate the remainder when v is divided by 33. 31 Let h = -3 - -4. Suppose s - 2 = -s. Calculate the remainder when s is divided by h. 0 Suppose -5 - 4 = -3*n. Suppose -4*q - 29 = -3*u, 4*q = 3*u + 2*q - 19. Suppose 0 = -3*g + u + 21. What is the remainder when g is divided by n? 2 Let b(i) = 2*i**3 - 3*i**2 - i - 2. Calculate the remainder when b(4) is divided by 19. 17 Suppose 3*n = -2*b - 2*n + 33, -b + 4*n + 23 = 0. Suppose 0*i - 4*i = -376. Calculate the remainder when i is divided by b. 18 Let d(p) = p**2 - 5*p + 6. Let h be d(6). Let n = -6 + h. Suppose -o = o - n. Calculate the remainder when o is divided by 2. 1 Suppose 5*n - 392 = -9*n. Suppose -21 = -5*s + 19. Calculate the remainder when n is divided by s. 4 Let l = 4 - -4. Suppose 0 = -2*x - a + 22, -3*x + 0*x - a + 31 = 0. Calculate the remainder when x is divided by 30/l - (-6)/24. 1 Let t be -1*(3 + -2)*55. Let r = t + 81. Calculate the remainder when r is divided by (5/(-3))/5*-27. 8 Let o(t) = -t**2 + 3*t + 1. Let f be o(4). Let c = f + 24. Calculate the remainder when c is divided by 6. 3 Calculate the remainder when 40 is divided by 3 + (3 + 1 - -14). 19 Suppose -9*g = -55 - 233. Calculate the remainder when 61 is divided by g. 29 Let v(d) = d**3 + 7*d**2 - d - 4. Let u be v(-7). Suppose -u*r + 12 = r. Let g(y) = -y**2 + 8*y + 1. What is the remainder when g(7) is divided by r? 2 Calculate the remainder when 1/(3/74)*(-6)/(-4) is divided by 10. 7 Suppose x - 3*s = 19, 85 - 16 = 4*x - 5*s. What is the remainder when 44 is divided by x? 12 Let r(w) = -4*w**2 - w + 3. Let b be r(-3). Let a = -19 - b. Let u(z) = -z**3 + 8*z**2 + 12*z + 4. Calculate the remainder when u(9) is divided by a. 9 Let n(d) = d + 9. What is the remainder when n(6) is divided by 8? 7 Let w(q) = -4*q + 1. What is the remainder when 47 is divided by w(-4)? 13 Let i(g) = -2*g + 6. What is the remainder when 32 is divided by i(-3)? 8 Let k(v) = -v**2 - 7*v - 5. Calculate the remainder when 12 is divided by k(-4). 5 Let q(d) = 11*d - 12. What is the remainder when q(6) is divided by 28? 26 Suppose 3*b + 5*v = -b + 183, -2*v + 174 = 4*b. Let m(c) = -c**3 - c + 15. Calculate the remainder when b is divided by m(0). 12 Let x(b) be the second derivative of b**4/6 + b**2/2 + 5*b. Suppose 0 = -c - 2. What is the remainder when 16 is divided by x(c)? 7 Let p = 449 + -243. Suppose -l + p = l. Suppose -l - 117 = -4*d. What is the remainder when d is divided by 19? 17 Let k = 49 - 29. Suppose 4*y + 55 - 515 = 0. Suppose 0*n + 2*n + g = y, -5*g - 52 = -n. Calculate the remainder when n is divided by k. 17 Let m = -36 - -102. Let s = -16 + 39. What is the remainder when m is divided by s? 20 Let w(s) = 4*s - 1. What is the remainder when w(12) is divided by 25? 22 Suppose -u - 3*s - 20 = -2*u, -2*s = -5*u + 74. What is the remainder when 66 is divided by u? 10 Let l(f) = f**2 + 21*f + 24. What is the remainder when 93 is divided by l(-21)? 21 Let v = 22 - 6. What is the remainder when 28 is divided by v? 12 Let z = -1 + 13. Calculate the remainder when z is divided by -7 + 16 + 0 + -4. 2 Suppose -x + 0 = -32. Let s(t) = t**2 - 6*t + 3. Let d be s(5). What is the remainder when x is divided by ((-2 - -1) + -33)/d? 15 Suppose -5*f + 230 = 4*i, 4*f - i - 184 = i. What is the remainder when f is divided by 12? 10 Let p(l) = l**2 + 4*l + 5. Let y = -18 + 25. Calculate the remainder when y is divided by p(-4). 2 Suppose -3*h = -2*h. Suppose h = 2*b - 0*b + 186. What is the remainder when (b/(-15))/((-2)/(-10)) is divided by 8? 7 Let j = -2 + 7. Let x be 2 + j/(5/51). Suppose 2*t - x = -17. Calculate the remainder when 52 is divided by t. 16 Let b be ((-1)/(-3))/(3/(-45)). Let y = b - -12. Let z = y - 6. Calculate the remainder when z is divided by 1. 0 Let z(i) = -i**3 + 9*i**2 - 7*i + 7. Let t be z(6). Suppose t + 23 = 3*h. Suppose 6 = -2*s, 0*s + 4*s = x - h. Calculate the remainder when x is divided by 7. 6 Let z(o) = 3*o**3 + o**2 + 2. Suppose -f - 3 = -3*d, d - 5*f = -0*f - 13. What is the remainder when z(d) is divided by 12/(-5)*40/(-6)? 14 Let i = -37 - -228. What is the remainder when i is divided by 16? 15 Let n = -12 + 16. Let y = n + 7. Let u = 110 + -78. Calculate the remainder when u is divided by y. 10 Let y(j) = 78*j**2 - 4*j + 1. What is the remainder when y(1) is divided by 17? 7 Suppose -2*r = -0*r. Suppose 108 = 4*h - r*h. Calculate the remainder when 78 is divided by h. 24 Let o(u) = 6*u**3 - 2*u**2 + u - 2. Let s be 0/((-4)/2)*-1. Suppose -i + s*i + 2 = 0. Calculate the remainder when o(i) is divided by 14. 12 Suppose 110 = 5*f - 0*f. Let s = f - 14. Calculate the remainder when s is divided by (7 + 3)*(-1)/(-2). 3 Let k(l) = 9*l**2 - 1. Let h be k(-1). Calculate the remainder when 29 is divided by (h/3)/((-1)/(-6)). 13 Suppose -14*m + 6 = -11*m. Calculate the remainder when 4 is divided by m. 0 Let k(j) = j**3 - 5*j**2 + j + 4. Calculate the remainder when 26 is divided by k(5). 8 Suppose y - 7 + 3 = 0, 3*u - 5*y = 118. Calculate the remainder when 135 is divided by u. 43 Suppose -5*l + l = -100. Suppose -4*s - 5*u - 2 = -l, 5*s + 2*u = 33. Let x(h) = 2*h - 9. Calculate the remainder when 14 is divided by x(s). 4 Calculate the remainder when (-3)/2*(-96)/9 is divided by 6. 4 Suppose -4*v = -5*v + 4. Suppose -3 - 5 = -v*q. Suppose 3*l = -5*a + 31, -2*a + 7 = 5*l - 13. What is the remainder when l is divided by q? 0 Let f be (-9)/(-7) - 12/42. Suppose 5*c = -k + 4, -2*k = k - 3*c + 6. What is the remainder when 0 - (f + k + -10) is divided by 6? 4 Suppose -46 - 26 = -4*f. Suppose 2*k + 16 = -2*k, 0 = 3*r - k + 29. Let x = -6 - r. Calculate the remainder when f is divided by x. 3 Suppose 5*o + 2*o - 77 = 0. What is the remainder when 54 is divided by o? 10 Let y = 5 - 0. Suppose 38 = -2*f + y*f + 5*n, -4*n + 16 = 0. Suppose -3*x = f, 0*x + 5*x = -b - 6. Calculate the remainder when b is divided by 3. 1 Let u = 63 + -46. What is the remainder when u is divided by 11? 6 Suppose 0 = -5*z + 2*z + 66. Calculate the remainder when z is divided by 13. 9 Let j(i) = -i**2 + 3*i + 6. Let t be j(6). Let r = -16 - -22. What is the remainder when (40/t)/((-1)/3) is divided by r? 4 What is the remainder when 13 is divided by (-4)/(-10) + (-66)/(-10)? 6 Suppose 2*g = n - 6*n + 19, -3*g + 54 = -n. Let t(r) = 12*r - 6. What is the remainder when t(6) is divided by g? 15 Let x = 36 - 12. What is the remainder when x is divided by 9? 6 Suppose 0 = l - 1, 5*l = -2*q + 4*l + 35. What is the remainder when q is divided by 13? 4 Suppose 0 = -3*f + 15, 0*f = z + 4*f - 87. Suppose 3*u = 3*p + 84, -p + 47 - 144 = -4*u. What is the remainder when z is divided by u? 21 Calculate the remainder when 28 is divided by 6 - 5/15*0. 4 Suppose -u - 104 = -3*u. Suppose 5*x - 13 = u. Suppose -x = -2*r + r. What is the remainder when r is divided by 8? 5 Suppose -3*y + 91 = -4*c, -2*y - 4*c = -y - 41. Calculate the remainder when y is divided by 10. 3 Let r = 29 + -17. Let v = 12 + 22. Suppose 0*u + v = u. Calculate the remainder when u is divided by r. 10 Suppose -9*n = -133 - 308. Calculate the remainder when n is divided by 16. 1 Let z(h) = 3*h - 27. Suppose y = -0 - 1. Calculate the remainder when z(15) is divided by 10/(-3)*3*y. 8 Let b = 106 + -57. What is the remainder when b is divided by 13? 10 Suppose -x = 2*x - 51. Let g(u) be the second derivative of -u**4/12 + 5*u**3/2 - 7*u**2/2 - 2*u. Calculate the remainder when g(8) is divided by x. 15 Suppose 2*k + 10 = 2*v, 7*k + 20 = -2*v + 3*k. Suppose v = 5*w - 133 - 67. Suppose 0*r + w = 2*r. Calculate the remainder when r is divided by 7. 6 Let x be (5 + 0)*(-2)/(-5). What is the remainder when 23 is divided by 18/2 - (x - 1)? 7 Let w(x) = -5*x. Let h be w(3). Let r be 18/h*(-10)/3. Suppose c - r*a - 5 - 7 = 0, -2*c + 2*a + 54 = 0. What is the remainder when c is divided by 11? 10 Calculate the remainder when 38 is divided by (8/(-60)*-9)/(3/70). 10 Let q = 20 - 8. Suppose -q = -4*o - 0*o. Suppose -m - 2*l + 40 = o*l, 5*m - 200 = 2*l. What is the remainder when m is div
{ "pile_set_name": "DM Mathematics" }
)/(-1*sqrt(12)) - sqrt(4)). 3*sqrt(5) Simplify (sqrt(360)/sqrt(144))/((sqrt(72)*1)/sqrt(9)). sqrt(5)/4 Simplify (sqrt(56) + sqrt(1400)*-1)/(sqrt(24)/sqrt(27)). -12*sqrt(7) Simplify ((sqrt(5) + (sqrt(5) + sqrt(25)/sqrt(5) - sqrt(5)) + 5)*2)**2. 80*sqrt(5) + 180 Simplify sqrt(425) + 4 + -1. 3 + 5*sqrt(17) Simplify 0 + (1*sqrt(539))**2 + -6*sqrt(539)*-1. 42*sqrt(11) + 539 Simplify (sqrt(7) - sqrt(63)/sqrt(9))*1 - sqrt(35)/(5*sqrt(5) + sqrt(5)). -sqrt(7)/6 Simplify (sqrt(125)/sqrt(125))/sqrt(5). sqrt(5)/5 Simplify (-4*sqrt(70)*2)/(sqrt(30)/sqrt(3)*3). -8*sqrt(7)/3 Simplify (-1*sqrt(513) + sqrt(513))/(2*sqrt(147)). 0 Simplify (2*sqrt(30))/sqrt(10) + -1. -1 + 2*sqrt(3) Simplify 0 + sqrt(1872) + -4. -4 + 12*sqrt(13) Simplify (sqrt(76)/sqrt(18))/sqrt(2). sqrt(19)/3 Simplify ((sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + (-3*sqrt(153) + sqrt(153) - sqrt(153) - sqrt(153)))))/sqrt(9) + sqrt(17))*-1. sqrt(17) Simplify (sqrt(19) + -1)**2*-2 - (1 + sqrt(19)*-1). -41 + 5*sqrt(19) Simplify ((4*sqrt(5) + -5)*-3)**2. -360*sqrt(5) + 945 Simplify (sqrt(5) + (sqrt(20) - sqrt(40)/sqrt(2)))*6. 6*sqrt(5) Simplify (sqrt(68) + -1*-1*sqrt(68))/(sqrt(32)/sqrt(128) + sqrt(4)). 8*sqrt(17)/5 Simplify (3*(sqrt(133) + 2*sqrt(133)))/sqrt(7)*5. 45*sqrt(19) Simplify (((sqrt(3888) + 1 + sqrt(3888))*6 - sqrt(3888)) + 1 + sqrt(3888) + sqrt(3888) + 4)**2. 10296*sqrt(3) + 657193 Simplify 4*(0 + sqrt(6)/sqrt(3)) + -3. -3 + 4*sqrt(2) Simplify (sqrt(495)*3)/(sqrt(30)/(1*sqrt(6))). 9*sqrt(11) Simplify (5 + sqrt(45))**2 + (sqrt(5) - (1 + (-1*sqrt(5))**2)). 64 + 31*sqrt(5) Simplify ((sqrt(190) - sqrt(190)*1 - sqrt(190) - sqrt(190))*-2)/((-1*sqrt(40))/sqrt(4)). -4*sqrt(19) Simplify (sqrt(40)*-2)/sqrt(8) + (sqrt(80) + -3 - sqrt(80)). -2*sqrt(5) - 3 Simplify 5 + (sqrt(5) + 5 + sqrt(80))*-5. -25*sqrt(5) - 20 Simplify (sqrt(170)*1)/sqrt(10) - (sqrt(68)/sqrt(4)*-4)**2. -272 + sqrt(17) Simplify (sqrt(110) + sqrt(110) + (-1*sqrt(110) - sqrt(110))*2)/((sqrt(110) - -1*sqrt(110))/sqrt(11)). -sqrt(11) Simplify sqrt(16)/(4*sqrt(40)/sqrt(5) - sqrt(8)). sqrt(2)/3 Simplify (((-1*sqrt(225))/sqrt(9))/(sqrt(80)*-1)*-3)**2. 45/16 Simplify -1 + sqrt(27) + (sqrt(3) - -5*sqrt(6)/sqrt(2)). -1 + 9*sqrt(3) Simplify (0 + sqrt(931) - sqrt(931))**2 + 4. 4 Simplify ((sqrt(72) - (0 + sqrt(72))*6) + -2 + sqrt(72) + sqrt(72) + (sqrt(72) + 1 + sqrt(72) - sqrt(72)) + sqrt(72))**2. 12*sqrt(2) + 73 Simplify (sqrt(304)*2 + 2 + -4)**2. -32*sqrt(19) + 1220 Simplify (sqrt(325)*1)**2 + -1. 324 Simplify 2*(2*sqrt(7)*2 - (-2 + 1*sqrt(7) - sqrt(7))). 4 + 8*sqrt(7) Simplify sqrt(720) - (-6*(sqrt(720) + 1 - sqrt(720)))**2 - (sqrt(720) + (sqrt(720) - (1 + sqrt(720)))**2)*4. -36*sqrt(5) - 40 Simplify sqrt(16)/sqrt(2) + sqrt(24)/(sqrt(96)/sqrt(8)). 3*sqrt(2) Simplify (sqrt(136)/(sqrt(8) - sqrt(64)/sqrt(2))*6)**2. 612 Simplify -1 + -6*(0 + sqrt(605)). -66*sqrt(5) - 1 Simplify ((sqrt(170) - sqrt(170)*2*-5)/sqrt(10))**2 - (sqrt(272)*6 + -3). -24*sqrt(17) + 2060 Simplify (-2 + (sqrt(75) - -2*(sqrt(75)*-1 + sqrt(75))))**2. -20*sqrt(3) + 79 Simplify (sqrt(300)/(-1*sqrt(10)))/(sqrt(90) + 1*sqrt(90) - sqrt(90)). -sqrt(3)/3 Simplify ((sqrt(608)*-1)/sqrt(2))**2. 304 Simplify (4*sqrt(112)*5)**2. 44800 Simplify -1 + 6*sqrt(153)/sqrt(9). -1 + 6*sqrt(17) Simplify (sqrt(33) + sqrt(165)/sqrt(20))/sqrt(11). 3*sqrt(3)/2 Simplify ((-4*sqrt(245)*2 + 4)*4)**2. -7168*sqrt(5) + 251136 Simplify ((sqrt(1800)*1 + sqrt(1800))*5)**2. 180000 Simplify sqrt(6)/((sqrt(98) - (sqrt(98)*-3 + sqrt(98))) + sqrt(98) + sqrt(98)). sqrt(3)/35 Simplify sqrt(612) + sqrt(612)*-2*2. -18*sqrt(17) Simplify (sqrt(108)/sqrt(4) + -2)**2. -12*sqrt(3) + 31 Simplify (sqrt(432) + -3)**2 + sqrt(48)*6. -48*sqrt(3) + 441 Simplify -1 + (sqrt(931) - (-1 + sqrt(931)))**2. 0 Simplify -4*(-3*(sqrt(76) + 1) + 4). -4 + 24*sqrt(19) Simplify (-3*sqrt(153)*-2 + -1*sqrt(153)*-6)**2. 22032 Simplify (2*sqrt(128) + sqrt(2))**2 - (sqrt(2) + 0)*6. -6*sqrt(2) + 578 Simplify sqrt(20)/(sqrt(1000)/sqrt(4)). sqrt(2)/5 Simplify (4 + sqrt(704)*-5)**2. -320*sqrt(11) + 17616 Simplify (sqrt(192)*5)/(sqrt(96)/sqrt(4)). 10*sqrt(2) Simplify -4*(-1 + sqrt(200) + sqrt(200)). -80*sqrt(2) + 4 Simplify (4*sqrt(60)*1)/sqrt(12). 4*sqrt(5) Simplify 5 + 3 + (sqrt(931)*-1)**2 + -5. 934 Simplify (sqrt(171) - sqrt(171)*-1)**2*-6. -4104 Simplify -6*(-5 + -6*(sqrt(832) + 0))**2. -179862 - 2880*sqrt(13) Simplify (-2*sqrt(78)*-3)/sqrt(6). 6*sqrt(13) Simplify (sqrt(704) + 1 - sqrt(44)/sqrt(64))**2. 31*sqrt(11)/2 + 10587/16 Simplify -2 + ((-1*sqrt(171) - sqrt(171)) + sqrt(475) + 2)**2. -4*sqrt(19) + 21 Simplify (sqrt(931) + (sqrt(931)*-1 - sqrt(931)) + -5 + -4*3*sqrt(931))**2. 910*sqrt(19) + 157364 Simplify -2 + (sqrt(208))**2 + -1. 205 Simplify sqrt(55)/(sqrt(33)/(sqrt(3)*-1)). -sqrt(5) Simplify 1*(sqrt(19) - (4 + (sqrt(19) - (2 + sqrt(19)))) - (sqrt(2736) + -1)). -11*sqrt(19) - 1 Simplify sqrt(133)/(sqrt(175)*1 - sqrt(7)) - (sqrt(95)/sqrt(80) - (2*sqrt(57)/sqrt(3) - sqrt(19))). sqrt(19) Simplify 2*-1*-2*(sqrt(7) + 1 + 1). 8 + 4*sqrt(7) Simplify -1*((sqrt(117) + sqrt(117)*2)*-5)/sqrt(9). 15*sqrt(13) Simplify (sqrt(84)/((sqrt(36) - sqrt(324))/sqrt(3)))**2. 7/4 Simplify sqrt(12)/(sqrt(4) + (sqrt(400) - 3*sqrt(400) - sqrt(4))). -sqrt(3)/20 Simplify ((sqrt(147) + -4 + sqrt(147) + 1 + sqrt(147))**2 + sqrt(147) + 1 + 5)*-5. -6690 + 595*sqrt(3) Simplify sqrt(1216) + -2 + (sqrt(1900) + -1)**2. -12*sqrt(19) + 1899 Simplify ((sqrt(240) - sqrt(240)*3)/sqrt(8))/sqrt(6). -2*sqrt(5) Simplify (sqrt(448)*-1)**2 + 5 - sqrt(448). -8*sqrt(7) + 453 Simplify (sqrt(104) - (sqrt(104) - (-6*(sqrt(104) - (sqrt(104) - sqrt(104)*2)) - sqrt(104)) - sqrt(104)))/(-4*-1*sqrt(8)). -3*sqrt(13) Simplify (1*sqrt(4536) - sqrt(4536))/(1*sqrt(200)). 0 Simplify sqrt(11) - (-3*sqrt(11))**2*1 - (sqrt(121)/(2*sqrt(11)) - sqrt(11)). -99 + 3*sqrt(11)/2 Simplify 1*(-1 + (sqrt(110) + (sqrt(110) - (sqrt(110) - -6*(sqrt(110) - (sqrt(110)*2 + sqrt(110))))))/sqrt(10)). -1 + 13*sqrt(11) Simplify sqrt(33)/sqrt(176) + (sqrt(9)*-1)/sqrt(3). -3*sqrt(3)/4 Simplify (5 + sqrt(22)/sqrt(44) + sqrt(6)/sqrt(3) + -4)**2. 3*sqrt(2) + 11/2 Simplify 4*(sqrt(7) + 1) + (((sqrt(7) - (-2*1*sqrt(7) + sqrt(7))) + sqrt(7) - sqrt(7))**2 - sqrt(7)). 3*sqrt(7) + 32 Simplify (sqrt(28) + (2*sqrt(308))/sqrt(11))/(sqrt(16)/(sqrt(8)/sqrt(2))) + -2. -2 + 3*sqrt(7) Simplify (-1*sqrt(102)*3)/sqrt(6). -3*sqrt(17) Simplify 3 + (sqrt(3) - (sqrt(42)/sqrt(7))/sqrt(2)). 3 Simplify (-3*(-3 + sqrt(3)*-1*1 + (1 + sqrt(3) + -2 - sqrt(3) - sqrt(3))))**2. 144*sqrt(3) + 252 Simplify ((sqrt(27) + sqrt(189)/(sqrt(21)/sqrt(3)))/(-2*sqrt(36) + sqrt(9) - sqrt(9)))**2. 3/4 Simplify (sqrt(343)*1 - sqrt(343) - (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(126)/sqrt(2))/sqrt(9)))))**2. 0 Simplify (-1*sqrt(250) - sqrt(250))/(2*sqrt(5)*-2 + sqrt(5) - sqrt(5)). 5*sqrt(2)/2 Simplify -3 + sqrt(2) + 0 - (0 + sqrt(2))*-3. -3 + 4*sqrt(2) Simplify -1 + (sqrt(76)/sqrt(4) - sqrt(19)) + 0. -1 Simplify -4 + -3*sqrt(19)*2 + 3. -6*sqrt(19) - 1 Simplify -5 + (sqrt(1331) + sqrt(1331) + 1 + sqrt(1331))**2. 66*sqrt(11) + 11975 Simplify (sqrt(242) + (1 + sqrt(242) - sqrt(242)) + -2)**2*5. -110*sqrt(2) + 1215 Simplify (sqrt(19) + (sqrt(76) + sqrt(76) + sqrt(76)*-2 - sqrt(19)))**2 + (sqrt(19) + sqrt(114)/sqrt(6))*5 + -3. -3 + 10*sqrt(19) Simplify (4 + sqrt(72) + -5*sqrt(72)*1)**2. -192*sqrt(2) + 1168 Simplify -5*(sqrt(684) + 0) - (5*(sqrt(684) + 0))**2. -17100 - 30*sqrt(19) Simplify sqrt(5) - (sqrt(45) - (sqrt(45) + -2*sqrt(45)))/sqrt(9) - (1*sqrt(5))**2*3. -15 - sqrt(5) Simplify ((sqrt(245) + -1)*5)**2. -350*sqrt(5) + 6150 Simplify (sqrt(288)/(sqrt(12) - (sqrt(12) + -1*sqrt(12))))/(-2*sqrt(8)*-3). sqrt(3)/6 Simplify (sqrt(187) + -2*sqrt(187) + sqrt(187))/sqrt(11) + sqrt(85)/sqrt(5)*1. sqrt(17) Simplify ((sqrt(170) - (sqrt(170)*2 - sqrt(170) - sqrt(170) - sqrt(170)) - sqrt(170))*-6 + sqrt(170))/((sqrt(90)*-2)/sqrt(9))*-4. -10*sqrt(17) Simplify (6*sqrt(102)*1)/(sqrt(384)*3 + sqrt(384)). 3*sqrt(17)/16 Simplify -4*sqrt(1100) - (5*sqrt(44))**2. -1100 - 40*sqrt(11) Simplify 3 + (-4*2*sqrt(605))**2. 38723 Simplify sqrt(204)/(sqrt(1728)/sqrt(4)). sqrt(17)/6 Simplify 4*(0 + sqrt(304) - sqrt(304))*-1*1. 0 Simplify (-3*sqrt(1584) - sqrt(1584))**2 + 4. 25348 Simplify (-3 + sqrt(7) + sqrt(700))**2 + sqrt(7) + sqrt(343)*1. -58*sqrt(7) + 856 Simplify 5 + (2*(sqrt(98) + sqrt(9
{ "pile_set_name": "DM Mathematics" }
Let y(s) = 9*s - 8 - 7*s + 2. Let c be y(4). Find the second derivative of c*o - o + o + 3*o**2 wrt o. 6 Let y(c) = c - 3. Let l(q) be the first derivative of 5*q**2/2 - 12*q + 4. Let d(f) = -2*l(f) + 9*y(f). What is the derivative of d(u) wrt u? -1 Let y(l) be the first derivative of 15*l**4/4 - 4*l**2 + 11. Find the second derivative of y(v) wrt v. 90*v What is the first derivative of -11*z - 17 + 6 + z wrt z? -10 Let v(p) be the second derivative of p**6/3 + 3*p**2/2 + p. Differentiate v(b) with respect to b. 40*b**3 Let n(q) be the first derivative of q**5/20 - q**3/6 - 2*q**2 + 2. Let i(o) be the second derivative of n(o). Find the first derivative of i(s) wrt s. 6*s Let k(r) = -20*r**6 - 14*r**5 + 34*r**2 + 14. Let j(v) = 7*v**6 + 5*v**5 - 11*v**2 - 5. Let a(t) = -14*j(t) - 5*k(t). Find the third derivative of a(o) wrt o. 240*o**3 Suppose 4 = -2*a - 0*a. Let q = 5 + a. What is the second derivative of -3 + q*y**4 + 3 + 3*y wrt y? 36*y**2 Let s(o) be the second derivative of o**6/60 - o**5/60 + o**2/2 - 3*o. Let m(v) be the first derivative of s(v). What is the third derivative of m(d) wrt d? 12 Let d(x) be the third derivative of -x**9/1680 - x**6/90 + x**4/4 - 3*x**2. Let t(c) be the second derivative of d(c). Find the second derivative of t(v) wrt v. -108*v**2 Suppose -5 = -2*d + 1. Suppose 5*o - 4*o + 2*b + 2 = 0, -3*o + 3 = -d*b. Differentiate 1 + o + l**2 + 0*l**2 with respect to l. 2*l Suppose -2*o - 3*f + 5*f + 10 = 0, o + 19 = -5*f. Suppose -3 - o = -2*a. Find the third derivative of b**2 - 3*b**2 - 2*b**6 + 0*b**2 + 0*b**a wrt b. -240*b**3 Let w(f) be the third derivative of 0*f**6 + 5*f**2 + 0*f + 0*f**5 + 1/210*f**7 + 0*f**3 - 5/12*f**4 + 0. Find the second derivative of w(h) wrt h. 12*h**2 Let o(c) = c**3 + 3*c + 2. Let v(y) = -y**3 + 8 + 6*y**3 + 0 + 11*y. Let n(s) = 22*o(s) - 6*v(s). Differentiate n(g) with respect to g. -24*g**2 Find the first derivative of -9 + 5*i**3 - 4*i**3 + 0*i**3 - 6 wrt i. 3*i**2 Let y(p) be the third derivative of -6*p**2 + 1/24*p**4 + 2/3*p**3 + 0*p + 0. Find the first derivative of y(c) wrt c. 1 Let u(z) = 6*z**4 - 2*z**2 + 5. Let b(v) = -v**2 + 1. Let t(y) = 5*b(y) - u(y). Find the third derivative of t(r) wrt r. -144*r Let m be (-4)/14 + 23/7. Differentiate 8 - 4 + c**3 - 2*c**m wrt c. -3*c**2 Let z(s) = -5*s**2 - 16*s + 11. Let k = -10 - -16. Let j(t) = t**2 + 3*t - 2. Let o(c) = k*z(c) + 33*j(c). What is the second derivative of o(f) wrt f? 6 Let p(w) = 4*w**4 - 3*w**3 + 20. Let k(a) = 8*a**4 - 7*a**3 + 41. Let i(s) = -3*k(s) + 7*p(s). What is the first derivative of i(n) wrt n? 16*n**3 Let x(w) = 10*w**5 - 2*w**4 - 7*w**2 - 2*w. Let k(z) = -z**5 + z**4 - z**2 + z. Let u(l) = -2*k(l) - x(l). Find the third derivative of u(g) wrt g. -480*g**2 Let m(o) = 2*o**2 - o - 1. Let p be m(-1). What is the derivative of -p*b**3 + 9 + 3 - 7 wrt b? -6*b**2 Let r(k) = -9*k**3 - 8*k**2 - 6. Let g(l) = 17*l**2 - l + 13 + 14*l**3 + l + 5*l**3. Let d(q) = 6*g(q) + 13*r(q). What is the third derivative of d(y) wrt y? -18 Let w = -2 - -3. Suppose -l + 2 + w = 0. What is the derivative of -t**l + t**3 + 2*t**4 + 1 wrt t? 8*t**3 Let g(h) be the first derivative of -7*h**6/6 + 5*h**3/3 + 12. Find the third derivative of g(c) wrt c. -420*c**2 Let v(q) = -q**2 - q - 1. Let w(u) = -23*u**3 + 3*u**2 + 3*u - 24. Let b(g) = -3*v(g) - w(g). Differentiate b(s) wrt s. 69*s**2 Let i = -6 - -10. Suppose -2*s - 3 = -0*s + q, -i = s + q. What is the derivative of d + 0*d - 4*d - s + 2 wrt d? -3 Let u = 59/2 + -29. Let m(a) be the second derivative of 0*a**3 + u*a**2 + 0 + 3/20*a**5 + a + 0*a**4. Differentiate m(n) with respect to n. 9*n**2 Suppose 2*t = 2*q, -t - 4 + 0 = -3*q. Find the second derivative of 3*r + 0*r**2 - t*r**2 - 2*r**2 wrt r. -8 Let j be ((-2)/4)/(3/(-24)). Suppose 2*i = -3*d + 10 - 2, d + 16 = j*i. Find the second derivative of -a - a**4 + d*a + 3*a wrt a. -12*a**2 Let n(z) be the third derivative of 0*z + 0 + 1/30*z**7 + 0*z**6 + 0*z**4 - 1/12*z**5 + 6*z**2 + 0*z**3. What is the third derivative of n(u) wrt u? 168*u Suppose -3*c + 24 - 3 = 0. Find the third derivative of 3*t - 7*t**2 - 3*t - c*t**3 wrt t. -42 Suppose r - 2*n + 12 = n, -5*n = -5*r - 10. Suppose r*k = -k. Find the second derivative of s + s**4 - 2*s + k*s**4 wrt s. 12*s**2 Let k(d) = 4 - d + 2*d - 2. Let t be k(0). Find the second derivative of -s + s**t + s + s wrt s. 2 Let g(w) be the first derivative of 5 - 3*w + 0*w**2 + 2/3*w**3. What is the first derivative of g(t) wrt t? 4*t Let o be -18 + (0 - (1 - 3)). Let b be 12/o*12/(-3). Differentiate -2*n**b + 3 - 2 - 2 + n**3 wrt n. -3*n**2 Let z = -2 - -1. Let l = 3 + z. Find the third derivative of -2*o**2 + o**2 - l*o**3 + o**3 wrt o. -6 Let y(m) = 6*m**3 + 3*m + 1. Let p(a) = -a**3 - a + 1. Let c(h) = -p(h) + y(h). Find the second derivative of c(x) wrt x. 42*x Let x(k) = k - 1. Suppose -l = -4*l + 9. Let v(q) = -3 - 2*q + l. Let w(c) = -v(c) - x(c). Differentiate w(i) wrt i. 1 Find the first derivative of -33*b**3 + 7 + 9*b**3 + 0*b**3 + 12*b**3 wrt b. -36*b**2 Let n(q) = -q**2 + 6*q + 19. Let c be n(8). Find the second derivative of 16*g**5 + c*g - g - 19*g**5 wrt g. -60*g**3 Let t(h) = -h. Let z(x) = 12*x**3 - 8*x**2 + x. Let j(v) = -t(v) - z(v). What is the third derivative of j(k) wrt k? -72 Let h(x) be the second derivative of -x**6/720 - x**5/20 + 5*x**4/12 + 6*x. Let f(j) be the third derivative of h(j). Differentiate f(r) with respect to r. -1 What is the third derivative of 65*c**3 - 65*c**3 - c**6 + 5*c**2 wrt c? -120*c**3 Find the second derivative of -6*j**2 + 7 + 9*j - 7 wrt j. -12 Let x(v) = -v**2 - 8*v + 2. Let k be x(-8). What is the third derivative of -3*s**k - 4*s**3 - 2*s**3 + s**3 + 0*s**2 wrt s? -30 Let z(x) be the third derivative of 0*x + 2*x**2 + 0*x**3 + 0*x**7 + 0 + 1/60*x**5 - 1/168*x**8 + 0*x**6 + 0*x**4. Find the third derivative of z(q) wrt q. -120*q**2 Let p(d) be the third derivative of 1/4*d**4 + 0 + 0*d**3 + 0*d**7 - 1/168*d**8 + 0*d + 0*d**6 + 0*d**5 - d**2. What is the second derivative of p(u) wrt u? -40*u**3 Differentiate -24 + 55 + 4*a**2 - 20 + 0*a**2 with respect to a. 8*a What is the third derivative of -15*g**2 - 19*g**4 + 4*g**4 - 8*g**2 wrt g? -360*g Suppose 2*h = 7*h + 2*q + 5, -2*h - 2*q = 8. Differentiate 1 - l**4 - 5 + 3 - h wrt l. -4*l**3 Let g(j) = 13*j**2 + 5. Let a(l) = 66*l**2 + 25. Let n(f) = 2*a(f) - 11*g(f). Differentiate n(m) with respect to m. -22*m Let v be (2/5 - (-9)/15)*0. Let n(c) be the third derivative of 0*c + v + 0*c**4 - c**2 - 1/2*c**3 - 1/20*c**5. What is the derivative of n(d) wrt d? -6*d Let m(g) be the third derivative of -5*g**8/112 - 19*g**5/30 + 24*g**2. Find the third derivative of m(i) wrt i. -900*i**2 Let t(z) = 4*z**3 + 4*z**2 - 6*z. Let h(v) = -v**4 + 9*v**3 + 9*v**2 - 13*v. Let g(p) = 4*h(p) - 9*t(p). Find the second derivative of g(x) wrt x. -48*x**2 Let q(k) be the first derivative of 13*k**4/2 + k - 7. Differentiate q(x) wrt x. 78*x**2 Let j(u) be the first derivative of u**4/4 + 11*u**3/3 + 2. What is the third derivative of j(i) wrt i? 6 Let h(k) be the second derivative of -9*k**8/56 - 5*k**4/12 + 2*k. Find the third derivative of h(c) wrt c. -1080*c**3 Let h(q) = 31*q**2 + 6*q - 4. Let j(x) = x - 1. Let u(t) = -h(t) + 6*j(t). Find the first derivative of u(m) wrt m. -62*m Let j(s) = -s. Let t(c) = -c + 2. Suppose -2*h = 2*h - 5*q + 12, -15 = 5*h - 4*q. Let o(g) = h*j(g) + t(g). Find the first derivative of o(r) wrt r. 2 Let a(v) = -4*v**3 + 3*v**2 + 3*v - 1. Suppose -9*h = -14*h - 35. Let j(z) = 9*z**3 - 7*z**2 - 7*z + 3. Let l(g) = h*a(g) - 3*j(g). Differentiate l(q) wrt q. 3*q**2 Let q(h) be the second derivative of 0*h**3 + 0 - h**2 + 1/30*h**6 + 3*h + 0*h**5 + 0*h**4. Differentiate q(s) wrt s. 4*s**3 Let i(h) be the first derivative of -h**6/3 + 3*h**2/2 + 3. Find the second derivative of i(v) wrt v. -40*v**3 Let g(k) be the second derivative of -k**7/6 + k**3/6 - 9*k. What is the second derivative of g(v) wrt v? -140*v**3 What is the third derivative of 7*x**6 + 7*x**6 - 30*x**2 + 9*x**2 wrt x? 1680*x**3 Let a(y) be the first derivative of 5*y**4/4 + 2*y + 17. What is the derivative of a(i) wrt i? 15*i**2 Suppose 5*l + 0 = 10. What is the second derivative of 4*p + 6*p**5 + 60*p**l - 60*p**
{ "pile_set_name": "DM Mathematics" }
square root of 15601739 to the nearest integer? 3950 What is the ninth root of 2100312 to the nearest integer? 5 What is the cube root of 100452 to the nearest integer? 46 What is the square root of 151028 to the nearest integer? 389 What is the third root of 606330 to the nearest integer? 85 What is the square root of 2614094 to the nearest integer? 1617 What is the fifth root of 121538 to the nearest integer? 10 What is 947405 to the power of 1/2, to the nearest integer? 973 What is 23606243 to the power of 1/6, to the nearest integer? 17 What is 66531 to the power of 1/5, to the nearest integer? 9 What is the fifth root of 116869 to the nearest integer? 10 What is the ninth root of 11519046 to the nearest integer? 6 What is the square root of 12198203 to the nearest integer? 3493 What is the fifth root of 353732 to the nearest integer? 13 What is the cube root of 5362350 to the nearest integer? 175 What is 17218688 to the power of 1/7, to the nearest integer? 11 What is the third root of 5486462 to the nearest integer? 176 What is 87890 to the power of 1/3, to the nearest integer? 44 What is the square root of 1574 to the nearest integer? 40 What is the third root of 5882695 to the nearest integer? 181 What is the cube root of 198076 to the nearest integer? 58 What is the fourth root of 3447605 to the nearest integer? 43 What is the square root of 366206 to the nearest integer? 605 What is 51382 to the power of 1/8, to the nearest integer? 4 What is 2043753 to the power of 1/2, to the nearest integer? 1430 What is 174958 to the power of 1/2, to the nearest integer? 418 What is the cube root of 546054 to the nearest integer? 82 What is the sixth root of 319990 to the nearest integer? 8 What is the third root of 2459818 to the nearest integer? 135 What is 925031 to the power of 1/7, to the nearest integer? 7 What is 1509856 to the power of 1/2, to the nearest integer? 1229 What is 23243304 to the power of 1/3, to the nearest integer? 285 What is the cube root of 88081 to the nearest integer? 44 What is the fifth root of 9295126 to the nearest integer? 25 What is 417609 to the power of 1/8, to the nearest integer? 5 What is the square root of 5976266 to the nearest integer? 2445 What is the eighth root of 985805 to the nearest integer? 6 What is the square root of 179207 to the nearest integer? 423 What is the cube root of 3231545 to the nearest integer? 148 What is 534278 to the power of 1/3, to the nearest integer? 81 What is 8556817 to the power of 1/7, to the nearest integer? 10 What is 5505892 to the power of 1/9, to the nearest integer? 6 What is 257667 to the power of 1/8, to the nearest integer? 5 What is 338868 to the power of 1/2, to the nearest integer? 582 What is the fourth root of 49494 to the nearest integer? 15 What is the square root of 813475 to the nearest integer? 902 What is the third root of 1011964 to the nearest integer? 100 What is the seventh root of 4284 to the nearest integer? 3 What is 4564865 to the power of 1/3, to the nearest integer? 166 What is 338120 to the power of 1/7, to the nearest integer? 6 What is the fifth root of 2517663 to the nearest integer? 19 What is the third root of 71838 to the nearest integer? 42 What is the seventh root of 8557949 to the nearest integer? 10 What is the third root of 1030193 to the nearest integer? 101 What is the ninth root of 2933960 to the nearest integer? 5 What is the square root of 4299639 to the nearest integer? 2074 What is 167610 to the power of 1/2, to the nearest integer? 409 What is 864011 to the power of 1/2, to the nearest integer? 930 What is the cube root of 25038 to the nearest integer? 29 What is the fifth root of 126299 to the nearest integer? 10 What is 52622 to the power of 1/3, to the nearest integer? 37 What is 772976 to the power of 1/2, to the nearest integer? 879 What is the square root of 151964 to the nearest integer? 390 What is 43578 to the power of 1/2, to the nearest integer? 209 What is 4379973 to the power of 1/10, to the nearest integer? 5 What is 392594 to the power of 1/9, to the nearest integer? 4 What is 4318711 to the power of 1/2, to the nearest integer? 2078 What is 3358210 to the power of 1/8, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
Solve -4*x + 4*w - 9 = 15, q*w - 8 = 0 for x. -2 Let c(f) = -f**2 + 11*f - 12. Let u be c(5). Let z = u - 9. Let l = z + -7. Solve -2*b - h - 1 = 0, -3*b - l*b + h - 6 = 0 for b. -1 Suppose -4*x + 5 = 3*l, -5*l - 5*x + 1 = -19. Solve 0 = -q + 2*w - 14, 317*w - 316*w = q + l for q. -8 Suppose -25 = -5*a + 13*i - 9*i, 0 = -2*i. Suppose -a*j = -504 + 489. Solve p - 4 = j*x + 4, -4*p = -5*x - 18 for p. 2 Let o(c) = -c**2 + 2*c + 56. Let a be o(7). Suppose 3 = t + 4*d - a, 3*t + 5*d = 44. Solve -3*s + t*j + 5 = 3*j, -2*s + 5*j = -5 for s. 0 Let m be 100/450*18/2. Let x be m/27*-3 - 33/(-27). Solve -l - x = -0*l + 2*z, 0 = 4*l - z + 13 for l. -3 Let a = 3 + 2. Suppose -3*o + 2*f + 13 = -21, a*f = -o. Suppose -o*m = -15*m. Solve 3 = -m*y + y + 4*t, -5*y - 1 = 4*t for y. -1 Suppose k + 2 = -g, -4*g + 3*k - 3 + 23 = 0. Suppose -4*y - m + 7 + 5 = 0, -g = -5*y + 2*m. Solve 3*p + 46 = -3*a + 16, -3*p + y*a - 5 = 0 for p. -5 Let l(o) = -2*o**3 + 38*o**2 - 2*o + 41. Let c be l(19). Suppose -3*q = -4*h - 6*q + 16, -2*q - 4 = -h. Solve -2*u + h*u = c*a - 7, 5*a + 4*u = -25 for a. -1 Let r = 11745 - 11743. Solve -t - 2*b = b + 7, -r*t - 5*b = 12 for t. -1 Suppose -5*u + 24 = -2*m + 221, 4*u = 5*m - 467. Let z = m - 87. Solve v - p - 8 = 0, -v - 16 = -z*v + p for v. 4 Let i be 102/(-4) + 1/(-2). Suppose 4*t - 128 = -4*s, -5*s - 72 = 196*t - 199*t. Let z = t + i. Solve -y + z*y = 5*c + 21, -4*c = 2*y + 6 for c. -3 Suppose 16*d - 12 = 12*d. Suppose 7 = m - 4*m + w, d*w = -m + 11. Let z be (3 - m) + 12/8*10. Solve -2*b - z = c + 2*c, 5 = -c for b. -2 Suppose -3*c - 112 = 3*t - 94, 36 = 3*c - 3*t. Solve -4*j = -5*s - 14 + 10, -c*j - 5*s - 32 = 0 for j. -4 Let y = -17155 + 17160. Solve 6*u - 45 = -3*f, f = -3*f - y*u + 45 for f. 5 Let c be ((1296/45)/12)/((-9)/(-15)). Solve 0*t + 24 = -2*t + c*o, -5*o + 35 = -5*t for t. -2 Let o(s) = -7*s - 29. Let i be o(-5). Suppose 28 = i*l - 20. Let y be (-2)/l - 0 - (-476)/112. Solve -3*k = r + y*r + 29, -4*r = -4*k + 4 for r. -4 Let l = -661 + 662. Let i be -1 - l*(5 + -11 + 5). Solve i = -f + 3*f - 5*g - 4, 2*g - 4 = -2*f for f. 2 Let f(z) = z**3 + 83*z**2 + 91*z + 746. Let k be f(-82). Solve 3*y + 6 + 3 = 0, 5*m - y - k = 0 for m. 1 Suppose 2*f = -b + 8, -119*f + 120*f - 18 = -4*b. Suppose 5*g = 2*g + 6. Solve -b*o = -0*a + 4*a, -a = g*o - 2 for a. -2 Let n be (-11)/(-4) - ((-14)/(-8) - 2). Suppose 160 = -n*d - d. Let o = d - -52. Solve -3*w = z + 10, 2*z - o = -0*z + 2*w for z. 2 Let s be -2*(124/(-8) + 4). Let d = 28 - s. Suppose -2*a - 5*b + 11 = -14, -2*b = 4*a - 26. Solve -d*p + 2*k = a, 5*p = -2*k - 4 - 1 for p. -1 Suppose 0 = 330*s - 74*s - 490 - 790. Solve 5*r + u - s = -25, 3*u = -2*r + 5 for r. -5 Let n = -265 - -441. Let j = -172 + n. Solve 0 = 4*s - 3*o, -s - j*s = -4*o for s. 0 Let f be 0 - (-1 - 1) - -18. Let d = f + 28. Suppose 4*w = w + d. Solve 3*t - 5*n = w, -2*t + 3*t = -4*n - 6 for t. 2 Suppose -9*l + 2*n + 16 = 0, -11*l = -9*l - 5*n + 1. Suppose -v - 10 = 3*a, -v - 10 - 4 = 4*a. Solve -4*d - 14 = v*i + 10, -l*d - 5*i = 20 for d. -5 Suppose -l + 67 = 2*x, 2*x + 2*x = -4*l + 288. Let o = l - 74. Solve 3*c + 1 + 0 = -2*b, -o*c = 9 for b. 4 Let s be 5 - (-7)/21*-3. Suppose 0 = 4*p - 4*y + 8, 2*y = p + 4*y - s. Solve 4*t = -j + 2*j + 13, p = -3*t - 4*j + 24 for t. 4 Let u(p) = p**3 + 2*p + 15. Let x be u(0). Suppose -4*i = 3*d - x + 6, 0 = -d - 3*i + 3. Solve 0 = -b - 3*v + 9, d*v - 20 = 4*b + v for b. -3 Suppose -4*i = 3*a + 524, 47*i - 52*i = 4*a + 697. Let u be (-2)/12 - 364/a. Solve -5*b + 5*w = -4 - 6, u = b - 2*w for b. 2 Suppose -5*g = 3*n - 13, 17*g - 3*n - 22 = 15*g. Solve -5*m = u - 4, -7 = -3*u + g for m. 0 Let o = 256 - -30. Let s = 290 - o. Solve 0 = -5*v + 4*r - 2, -12 = 5*v - 3*r + s*r for v. -2 Let a be ((-21)/(-8) + -3)*208/(-26). Solve 2*k + 4 = a*o, -26 = 5*o + 4*k + 4 for o. -2 Let m be (((-117)/(-24))/13)/(2/48). Solve 5*y = -g + 23, -4*g - 4*y - 8 = -m*y for g. 3 Let y be (5 - (-14)/(-3))*9. Let x = 36 + -34. Solve 0 = y*f + 2*p + 3, -4*p - 10 = x*f - 0 for f. 1 Let a(r) = -3*r**2 + 297*r + 2571. Let m be a(-8). Solve m*z - 3*g = -18, -3*z - g + 4 = 6 for z. -2 Suppose 9 = 3*o - n + 104, 20 = -5*n. Let t be (-55)/o - (-30)/9. Let w(g) = 4*g**2 - 1. Let j be w(-2). Solve 12 = -4*i - t*c, 7*i + 4*c + j = 2*i for i. -3 Let h = -93 + 97. Let z be (41 - 37)*5/h. Solve -3*a - z*k - 2 = -0, -5*a = -k + 22 for a. -4 Let s be (-1 - 2/4)/((-300)/400). Suppose y + s = 0, -7 = 2*j - 3*j + 3*y. Solve v = -5*i + 14, -9 = -4*i - j for v. 4 Suppose 2*k - 890 = 508. Suppose -22*y = 259 - k. Solve -2*d + 3 = -j, 5*d - y = -0*d for j. 5 Let p = 665 - 643. Let t(s) = 2*s**2 - 43*s - 21. Let m be t(p). Solve -d = 2*x + d - 6, 5*d = 2*x + m for x. 2 Let f = 440 - 435. Suppose -3 = 3*b - 3*k, -5*b - 5*k + 50 = f. Solve -18 = 5*t - j - 0*j, t - 4*j = b for t. -4 Suppose 0 = -2*a - 2*w + 24, -3*w - 33 - 6 = -2*a. Solve -c = -2*k + 4*k - 1, 3*c - a = 0 for k. -2 Let f = 4 - 2. Suppose 0 = -8*o + 3552 - 10584. Let c = 884 + o. Solve 2*m = -3*i + c*m, f*m = -i + 3 for i. 1 Let z(h) = -6*h**2 + 93*h - 41. Let y be z(15). Solve -y = 18*u - 15*u - 2*b, -b - 24 = 5*u for u. -4 Let p(i) = 33*i - 2892. Let z be p(88). Suppose t + 35 = 4*c, 8*c - 3*c = -4*t + 70. Suppose z*f = c*f + 8. Solve 4*q = -y - 2, 4*q - f = -3*y - 2 for q. -1 Let w be 6*-3*(-9)/(-162). Let j be (w + 20/44)*(-154)/14. Solve -h + n + 2 = 5*n, -j = -3*h - 5*n for h. 2 Let f(a) = -2*a**3 + 168*a**2 + 3*a - 228. Let p be f(84). Solve -3*x = 4*v + v - p, 0 = v - 5*x + 12 for v. 3 Suppose c = -6 - 20. Let j be 4/c - 536/(-104). Suppose 4*q = -24 + 32. Solve -q*r = -u + 5, 0*u = -j*u + 5*r + 20 for u. 3 Suppose 3*a + 2*s = 132, -102*a = -100*a + 2*s - 92. Solve 39 = 3*j + 4*d + a, 2 = j - d for j. 1 Let m be ((-6)/4)/1*(-6 - -4). Let w = -146 + 161. Let a be (12/10)/(66/w + -4). Solve a*f - m - 7 = o, 3*o = 3*f - 12 for f. 3 Let n = -177 - -206. Suppose 4*t - 3*r + 213 = 9*t, 4*r - n = -t. Solve 19 = 5*g + k + t, -2 = g - 3*k for g. -5 Let i be (-1)/((7/(-12))/7). Let t(k) = k**3 + 7*k**2 - k - 3. Let j be t(-7). Suppose -16 - i = -j*h. Solve -v - v + h = -a, 2 = a + v for a. -1 Let r be -9*(715/(-99))/13. Solve -17*m + 1 = -l - 19*m, 3*m = r*l - 8 for l. 1 Suppose -5331*n + 5318*n + 169 = 0. Solve -3*d + 60 = -9*b, -3*b - n*d + 11*d = 5 for b. -5 Let r = 12558 - 12554. Solve 0 = -r*a + 6*a, -3*z - 5*a = -15 for z. 5 Let k be 1*7 + 34/(-153)*9. Let a(u) = u**2 - u + 2. Let v be a(0). Let j be -1 - v/2 - -5. Solve n + 27 = k*s + 3*n, 0 = -2*s - j*n + 13 for s. 5 Let s(l) = -2*l**3 - 14*l**2 - 36*l - 55. Let i be s(-5). Solve 3*v + 21*a = i*a + 5, 3 = v - 2*a for v. -1 Let j(n) = n**3 - 5*n**2 - 5*n - 7. Let c be j(6). Let y be 13 + -8 + c*2. Suppose y*o = -3*o. Solve 4 = 5*w - h, 2*w + o*w + 4 = -h for w. 0 Let g be (-2 - (-14)/6)*75. Suppose 5*b + 0*b = g. Let s = 2903 + -2893. Solve -9 = b*d + 2*p, 0 = -3*d - p + 4 - s for d. -3 Suppose 36*k + 198 = -90. Let f be 0*((2 - -5) + k). Solve 5*h - 4*m + m - 35 = f, m + 1 = -h for h. 4 Let x(c) = 6*c**2 + 39*c + 2. Let y be x(-6). Let t = y + 19. Solve p + n = t + 5, p - 5*n = -22 for p. 3 Let o = -11 + 14. Let l(f) = -f. Let k be l(o). Let n be (-5)/(1 + k + 1). Solve 2*h - 4*t - 12 = 0, -n*h + 2*t - 2 = -0 for h. -2 Suppose 7 + 125 = 11*s. Suppose 0 = -5*k - 3*f + 72, 3*k = 9*f - s*f + 42. Solve 5*t - 2*p - k = 0, 0 = 3*t + t - p - 9 for t. 1 Suppose 2*x - 7 = -a - 9, x = -4*a + 13. Solve 4*p - a*s + 40 = 0, 0 = 3*s - 4 - 2 for p. -8 Let o = 542 + -513. Let h = o + -29. Solve -4*i = -z - i + 19, h = -z - 2*i - 6 for z. 4 Let b = -398 + 364. Let j(w) = -w**3 + w**2 - w + 36. Let s be j(0). Let l = b + s. Solve 4*x - n - 11 = 0, -l*x + 5 + 6 = 5*n for x. 3 Let k = 16 - 12. Suppose -4*x = 3*x - 14. Suppose -x*h = -2*p - 2, -p - k*h + 2 = -6*p. Solve 0 = -3*y + p*c - 2, 4*y + 0 = -c + 1 for y. 0 Suppose -1243 = -16*v + 1429. Let m = v - 164. Solve -m*a - 3 = -6, 3*x = -4*a - 11 for x. -5 Suppose n + 6*n - 70 = 0. Suppose -4*z + 30 + n = 0. Suppose 2*m - z = -4. Solve -2*p - m = 3*g + 3, 2 = -g - 5*p for g. -2 Let l(v) = v**3 + 26*v**2 - 26*v + 27. Let f be l(-27). Solve 0 = -2*j + 7*j - 2*i - 15, 4*j + 5*i - 45 = f for j. 5 Let c = -42 + 12. Suppose -260*a + 254*a = -180. Let l = a + c. Solve 2*z - 5*h = 5
{ "pile_set_name": "DM Mathematics" }
Suppose -5*a - 2*k + 72 = 0, -20 = -2*a - 5*k + 13. Determine a*f(r) + 4*g(r). 2*r + 22 Let y(n) = 364*n**2 + 169*n. Let d(z) be the second derivative of -13*z**4/12 - z**3 + 847*z. Determine -169*d(j) - 6*y(j). 13*j**2 Let p = -281 + 278. Suppose 0 = 7*r - 3*r + 4. Let z(t) = 15 + 0*t + 3*t**2 + t**3 - 3*t + 2*t - 14. Let q(a) = -a**2 + a - 1. What is p*q(f) + r*z(f)? -f**3 - 2*f + 2 Let w(n) = n**3 + 30*n**2 + 20*n - 11. Let k be w(-1). Let o(l) = -l**3 + 1. Let a(b) = 2*b**3 - b - 2. What is k*a(p) - 3*o(p)? -p**3 + 2*p + 1 Let f(j) = -6*j + 30. Let w = 14371 - 14373. Let r(c) = 0 - 4*c - 6 + 5*c. Let a(t) = w*f(t) - 11*r(t). Let d(i) = -5*i - 25. Determine -25*a(z) - 6*d(z). 5*z Let g(h) be the first derivative of -7/3*h**3 + 17/4*h**4 + 0*h**2 + 0*h + 8. Let l(b) = 8*b**3 - 3*b**2. Calculate -3*g(i) + 7*l(i). 5*i**3 Let o(g) = -8766*g - 4870. Let y(k) = 3*k + 2. What is o(f) + 2435*y(f)? -1461*f Let p(i) = i**2 + 1. Let m = 10 + -11. Let c(t) = 2 + 7 + 8 - 12 + 5*t**2. Determine m*c(l) + 4*p(l). -l**2 - 1 Let x(q) = 6*q**2 + q - 1. Let b(v) = 38*v**2 + 1441*v - 7. Give -b(s) + 6*x(s). -2*s**2 - 1435*s + 1 Let y(v) = 6*v**3 + 20*v**2 - 12*v - 65. Let c(m) = -7*m**3 - 21*m**2 + 15*m + 67. What is 4*c(n) + 5*y(n)? 2*n**3 + 16*n**2 - 57 Let o = 12990 + -12995. Let f(w) = 32*w - 6 - 11 + 3. Let q(r) = 11*r - 5. Determine o*f(p) + 14*q(p). -6*p Let o(z) = 11*z. Let a(q) = 14144*q. Determine a(x) - 1088*o(x). 2176*x Let n(f) = 5*f - 1. Let h be ((-19)/(76/(-8)))/1. Let m(d) be the second derivative of -d + 0*d**h + 1/6*d**3 + 0. Give 3*m(p) - n(p). -2*p + 1 Let r(m) = 0 - 3 + 5 - 2 + m. Let x(b) = b**3 - 13*b**2 + 3*b - 38. Let w be x(13). Let t(l) = 15*l - 2. Determine w*t(j) - 6*r(j). 9*j - 2 Let u(c) = -4*c**2 - 1. Let a(h) = 20*h**2 + 4. Suppose 8 = j + 4*m, 3*j - 3 = 4*m + 5. Suppose -56 = 8*w - j*w. Determine w*u(z) - 3*a(z). -4*z**2 + 2 Let a(w) = 1875*w. Let o(b) = 161872*b. What is -604*a(l) + 7*o(l)? 604*l Let s(o) = -3*o**2 + 21*o - 46. Let q(x) = x**2 - 8*x + 16. Calculate 11*q(n) + 4*s(n). -n**2 - 4*n - 8 Let z(b) = -4*b**2 + b**3 - 2*b + 0*b**2 - b**3 - 2*b**3 + 2. Let g(m) = 2*m**3 + 3*m**2 + 2*m - 1. Let d = 759 - 756. Determine d*z(l) + 4*g(l). 2*l**3 + 2*l + 2 Let k be 6 - 1*3/(-1). Let h(g) = -5*g**2 - 5*g. Let u = 853 - 851. Let x(v) = 4*v + 15 - 3*v - 15 + v**2. Give k*x(b) + u*h(b). -b**2 - b Let p be (-2)/7 + 24/84. Let h(a) = -5 + p + a - 4*a. Let t(j) = j + 1. Let z be 6/(-6)*(-15)/1. Calculate z*t(q) + 3*h(q). 6*q Let f(u) = -4*u**2 + 8*u - 6. Let g(s) = -7*s**2 + 15*s - 11. Suppose -651 = -5*b - 676. Calculate b*f(m) + 3*g(m). -m**2 + 5*m - 3 Let h(i) = -7*i**3 - i**2 + i + 1. Let c(x) = 22*x**3 + 13*x**2 - 7*x. What is -c(q) - 3*h(q)? -q**3 - 10*q**2 + 4*q - 3 Let f(l) be the first derivative of -2*l**2 - l - 2. Let c be (3/27)/((-35)/315). Let k(r) = -r**2 - 1. What is c*k(d) + f(d)? d**2 - 4*d Let z(c) = 1 + 5*c**2 + 1 + 1. Let t(f) = -334*f**2 + 4*f + 378*f**2 + 26 - 4*f. Let m = 108 + -56. Determine m*z(a) - 6*t(a). -4*a**2 Let d(t) = -14*t**2 + 6*t. Let j(x) = x**3 - 14*x**2 + 8*x. Calculate 3*d(g) - 2*j(g). -2*g**3 - 14*g**2 + 2*g Let m(i) = -27*i**2 + 15*i + 12. Let v(b) = 3*b**2 - 11324*b + 4*b**2 - 3 + 11320*b. Calculate -4*m(r) - 15*v(r). 3*r**2 - 3 Let v(x) = x**3 - x**2 + 2*x + 8. Let k(s) = 6*s**3 - s**2 - 183*s + 41. Give -k(f) + 5*v(f). -f**3 - 4*f**2 + 193*f - 1 Let m(l) = 2213*l - 18. Let s(a) = -2212*a + 12. Give 2*m(n) + 3*s(n). -2210*n Let i(y) = 9*y + 3551. Let z(b) = 3*b + 1162. What is -4*i(j) + 11*z(j)? -3*j - 1422 Let t(y) = 3823*y + 3. Let m be t(0). Let i(k) = 3*k**3 - 3*k**2 - 4*k - 14. Let h(r) = -r**3 + r**2 + r + 5. Calculate m*i(s) + 8*h(s). s**3 - s**2 - 4*s - 2 Let w(a) = 4506790*a**3 + 12188*a**2 - 6094*a + 73128. Let r(x) = 2219*x**3 + 6*x**2 - 3*x + 36. What is -12188*r(y) + 6*w(y)? -4432*y**3 Let r(f) = -f**3 + f**2 - 5*f. Let j(u) = 4*u**3 + 172*u**2 - 10*u. Calculate -j(a) + 2*r(a). -6*a**3 - 170*a**2 Let z(n) = 4*n - n**3 + 14 - 4*n**3 + 10*n + 3 + 11*n**2. Let f(w) = 2*w**3 - 4*w**2 - 5*w - 6. Let h = -677 + 681. Give h*z(d) + 11*f(d). 2*d**3 + d + 2 Let d(j) = -7*j - 4. Let w(a) = 3 + 1963*a + 3 - 1957*a - 2. Determine 3*d(i) + 4*w(i). 3*i + 4 Let s(i) = -126*i - 441. Let g(n) = 2*n + 16. Determine -28*g(r) - s(r). 70*r - 7 Let w(z) = 20*z + 9. Let r(p) = 13*p + 6. Let g(a) = -8*r(a) + 5*w(a). Let j(f) = -f - 1. Calculate g(h) - 6*j(h). 2*h + 3 Let c(z) = z**3 - 2*z**2 - 5*z. Let f(n) = 8*n**3 + 13*n**2 + 14*n + 10. What is 3*c(h) + f(h)? 11*h**3 + 7*h**2 - h + 10 Let g(u) = 47*u**3 + 257*u**2 + 6*u - 2. Let j(f) = 35*f**3 + 254*f**2 + 5*f - 3. Give 3*g(w) - 4*j(w). w**3 - 245*w**2 - 2*w + 6 Let j(d) = d - d - 3*d - 11 + 29 - 6*d. Suppose -401*y - 5 = -406*y. Let o(k) = k - 1. Calculate y*j(m) + 18*o(m). 9*m Let r(h) = 169*h**2 - h**3 - 163*h**2 - 2*h - 4*h**3. Let s = 6 - 13. Let p(z) = -6*z**2 - z**2 + 285*z**3 - 279*z**3 + 0*z**2 + 2*z. Give s*r(u) - 6*p(u). -u**3 + 2*u Let n(d) = -2*d**2 + 17*d + 3. Let f(b) = 123*b - 157*b + 3*b**2 - 141 + 136. Determine -3*f(c) - 5*n(c). c**2 + 17*c Let w(d) = -2*d**3 + 52*d**2 - 7*d + 29. Let m(p) = 3*p**3 - 79*p**2 + 11*p - 44. Give -5*m(c) - 8*w(c). c**3 - 21*c**2 + c - 12 Let x(j) = -j + 5. Let p(q) = q**2 - 82*q + 1111. Let v be p(65). Let s(o) = 2. Calculate v*x(d) - 13*s(d). -6*d + 4 Let s(b) = -b**2 - b - 1. Let c = 3419 + -3417. Let u(d) = d**3 + 2*d**2 + 3*d + 2. What is c*s(v) + u(v)? v**3 + v Let k(d) = 1301*d**2 - 3*d + 81. Let g(a) = -649*a**2 + a - 36. Determine 9*g(b) + 4*k(b). -637*b**2 - 3*b Let p(u) = 2*u**3 - 230*u**2 + 5*u + 5. Let g(m) = -114*m**2 + 2*m + 2. Calculate 5*g(d) - 2*p(d). -4*d**3 - 110*d**2 Let z(n) = n**2 + 5*n + 25. Let l(x) = x**2 + 4*x + 21. Let m(t) = 6*l(t) - 5*z(t). Let r(v) = 4*v**2 - 5*v + 4. Let y = 6 - 7. What is y*r(p) + 3*m(p)? -p**2 + 2*p - 1 Let k(o) = 27*o - 288. Let w(s) = -15*s + 143. Determine -3*k(p) - 5*w(p). -6*p + 149 Let h = 1141 + -1143. Let w(u) = -u. Let a(c) = -7*c**2 + 3. Determine h*w(b) + a(b). -7*b**2 + 2*b + 3 Suppose -88 = -160*p - 888. Let n(f) = 31*f**3 - 5*f**2 - 5*f - 5. Let t(u) = -u**2 - u - 1. Give p*t(x) + n(x). 31*x**3 Let a(k) = 8. Let r(n) = 86*n - 24. Determine 2*a(h) + r(h). 86*h - 8 Let w(l) = 97*l - 4 - 198*l + 4 + 95*l. Let n = 29 - 27. Let x(q) = -2*q - n*q + 2*q + 3*q. Determine -4*w(y) - 27*x(y). -3*y Let h(c) = c**3 - c**2 + 2*c - 7. Let x(r) = 5*r**3 - 4*r**2 + 9*r - 28. Let i(v) = 364*v + 2175. Let d be i(-6). What is d*h(s) + 2*x(s)? s**3 + s**2 + 7 Let v(u) = u - 11. Suppose 5*s = 2*s + 6. Suppose s = -2*a + 3*a. Let l(f) be the first derivative of 5*f - 566. Calculate a*v(o) + 5*l(o). 2*o + 3 Let l(j) = -1100*j**3 + 121*j + 121. Suppose -5*r + 2*r = 2*u + 3, -2*r - 12 = 3*u. Let k(f) = 55*f**3 - 6*f - 6. Calculate u*l(x) - 121*k(x). -55*x**3 Let t(g) = -863*g**2 + g + 33. Let m(u) = -172*u**2 + 6. Calculate 11*m(k) - 2*t(k). -166*k**2 - 2*k Let h(f) = 116*f - 84. Let z(d) = -619*d + 419. Calculate 16*h(r) + 3*z(r). -r - 87 Let u(q) = -9*q. Let p(o) = 5*o**2 + 14*o - 41. Let x be p(-12). Let w = x - 500. Let g(v) = 5*v. Give w*g(r) + 6*u(r). r Let f(o) = -18*o**2 - 2*o + 35. Let a(v) = -73*v**2 - 9*v + 142. Calculate -2*a(c) + 9*f(c). -16*c**2 + 31 Let x(y) = 2*y - 7. Let r(s) = -2*s**2 - 11*s + 128. What is r(b) + 5*x(b)? -2*b**2 - b + 93 Let h(j) = 464*j**2 + 9. Let b(f) = -424*f**2 - 8. Give 4*b(y) + 3*h(y). -304*y**2 - 5 Let n(i) = 41*i - 393. Let j(m) = 14*m - 147. Determine 17*j(l) - 6*n(l). -8*l - 141 Let h(g) = -g**3 - g + 1. Let n(a) = -3*a**3 - a**2 + a. Let m = 18071 + -18070. What is m*n(b) + 2*h(b)? -5*b**3 - b**2 - b + 2 Let b(s) = 22*s - 5. Let p(a) = a + 91. Let w(t) = 18. Let f(r) = p(r) - 5*w(r). Determine -b(x) - 5*f(x). -27*x Let n(t) = t**2 + 8*t - 16. Let i be n(-9). Let v(l) = 21*l - 149. Let o be v(7). Let u(f) = -10*f**2 + 7. Let w(x) = 3*x**2 - 2. What is i*w(a) + o*u(a)? -a**2 Let r(l) = 225638*l**3 + 1136*l**2 + 1136*l + 1136. Let i(z) = 994*z**3 + 5*z**2 + 5*z + 5. What is 1136*i(d) - 5*r(d)? 994*d**3 Let p(u) = -9. Let i(h) = -52. Let j(q) = -i(q) + 6*p(q). Let o(x) = -9*x - 3 + 19*x - 11*x. Suppose -b = -2*b + 4. Determine b*j(c) - 3*o(c). 3*c + 1 Let p = 85 - 66. Let t = p + -16. Suppose 12*m - t*m = -27. Let
{ "pile_set_name": "DM Mathematics" }
+ 5 - 25 + 5. -15*v + 4 Collect the terms in -1587*b - 1266*b + 2 - 2998*b. -5851*b + 2 Collect the terms in -219*o**3 - 55582*o**2 + 3*o + 55582*o**2 - 3*o. -219*o**3 Collect the terms in 3*v + 4*v + 4*v - 8*v + 1253 - v. 2*v + 1253 Collect the terms in -3 - 17*s - 7*s - 31*s + 103*s - 3*s. 45*s - 3 Collect the terms in 6615*b + 6449*b - 13066*b + 1. -2*b + 1 Collect the terms in 31330*x - 156479*x - 211418*x - 910080*x. -1246647*x Collect the terms in 1346*g**3 - 2461*g**3 + 1657*g**3. 542*g**3 Collect the terms in -199*z - 45*z**2 + 399*z - 198*z + 27*z**2 + 16*z**2. -2*z**2 + 2*z Collect the terms in -3863*t**2 - 3862*t**2 - 237 + 7723*t**2. -2*t**2 - 237 Collect the terms in -5856733*z + 11713461*z - 5856725*z. 3*z Collect the terms in 126943*y - 126320*y + 7*y**2 + 9*y**2. 16*y**2 + 623*y Collect the terms in -120*w + 171*w - 51*w - 5*w**3 + 69*w**3. 64*w**3 Collect the terms in 96 + 125711*k**2 - 193 + 97. 125711*k**2 Collect the terms in -40*l**3 + 8*l**3 + 10*l**3 + 35809*l - 35809*l + 16*l**3 + 20*l**3. 14*l**3 Collect the terms in 55*q + 9 + 68*q + 45*q + 42*q - 155*q - 10. 55*q - 1 Collect the terms in 4419*q**3 - 10082*q**3 + 5692*q**3. 29*q**3 Collect the terms in -6*j + 24*j - 10*j + 52*j**2 - 77*j**2 - 3*j - 7*j. -25*j**2 - 2*j Collect the terms in 2167515*t**2 - 8 - 2168715*t**2 + 8. -1200*t**2 Collect the terms in 8141*x + 5393*x**2 - 8141*x. 5393*x**2 Collect the terms in -244*v + 244*v - 117*v**2 - 97*v**2. -214*v**2 Collect the terms in -27*q**2 + 9*q**2 - 3*q**3 - 18*q**2 + 4*q**3 - 38. q**3 - 36*q**2 - 38 Collect the terms in -10*g**2 + 8*g**2 + 22190*g - 192381*g. -2*g**2 - 170191*g Collect the terms in 5574*m**3 - 809*m**3 + 108*m**3. 4873*m**3 Collect the terms in 601*k + 4100896495 - 4100896495. 601*k Collect the terms in -1 - 346643*x - 191353*x + 1. -537996*x Collect the terms in 23194*g + 23193*g + 23176*g + 23189*g - 115949*g + 23196*g. -g Collect the terms in -135*r - 31995 - 31993 - 136*r + 280*r + 95980 - 31992. 9*r Collect the terms in 500*u - 708*u - 1204*u + 291*u - 937*u. -2058*u Collect the terms in 10339*b**3 + 24282*b**3 + 2993*b**3. 37614*b**3 Collect the terms in 393957 - 196984 + 5*y**3 - 6*y + 6*y - 196973. 5*y**3 Collect the terms in 4 - 35 + 27 + 2078*l**2 + 4. 2078*l**2 Collect the terms in 122*r**2 - 3*r - r + 166*r**2. 288*r**2 - 4*r Collect the terms in -123774*j + 247662*j - 123813*j. 75*j Collect the terms in -3 - 44*i**2 + 3 + 57*i**2 + 2 - 3. 13*i**2 - 1 Collect the terms in -3 + 28*m - m + 13*m + m - 17*m. 24*m - 3 Collect the terms in -6*a**3 - 8083278 + 16166570 - 8083292. -6*a**3 Collect the terms in 18*s + 195 + 116*s + 340 - 138*s. -4*s + 535 Collect the terms in -8 - 11 - 156 + 54 + 8*a + 44. 8*a - 77 Collect the terms in -50 + 121054*h**2 + 50 + 43688*h**2. 164742*h**2 Collect the terms in 5909*b - 12159*b + 6273*b + 1. 23*b + 1 Collect the terms in -1214382*p - 6*p**2 - 26*p**2 + 1214399*p. -32*p**2 + 17*p Collect the terms in 1581*g + 111 - 1583*g + 138 + 175. -2*g + 424 Collect the terms in 26 + 74*s**2 + 20 + 11*s**2 + 202 - 248. 85*s**2 Collect the terms in 281*k + 283*k - 41 + 47 + 59 - 562*k. 2*k + 65 Collect the terms in -156*t + 462*t - 167 - 151*t - 153*t - 32 - 118. 2*t - 317 Collect the terms in -13*b + 10067455085005 - 10067455085005. -13*b Collect the terms in -49 + 32875*z**2 - 38 + 130. 32875*z**2 + 43 Collect the terms in 1050 + 4*f**3 + 4*f + 3239 - 2*f**3. 2*f**3 + 4*f + 4289 Collect the terms in 48097*r**3 + 10450*r**3 - 9777*r**2 + 9777*r**2 - 9164*r**3. 49383*r**3 Collect the terms in -54*s - 86*s + 140*s - 112891*s**2 + 112890*s**2. -s**2 Collect the terms in -151*t + 151*t + 14694037*t**2. 14694037*t**2 Collect the terms in 125*y + 26*y + 103*y - 75*y + 106*y**3 + 58*y. 106*y**3 + 237*y Collect the terms in -437*z**3 + 3*z - 3*z - 82*z**3 - 592*z**3. -1111*z**3 Collect the terms in 111*o + 1 - 20 - 13 + 23. 111*o - 9 Collect the terms in -7164 - 691 - i - 457. -i - 8312 Collect the terms in 6*r - 23*r - 658 - 639 + 1948 - 651. -17*r Collect the terms in -91994*d + 161898*d + 126666*d. 196570*d Collect the terms in -1532*f**2 - 1134*f**2 - 916*f**2 - 2. -3582*f**2 - 2 Collect the terms in 4218*r**3 - 4 + 4220*r**3 + 4213*r**3 + 14*r**2 + 4 - 12653*r**3. -2*r**3 + 14*r**2 Collect the terms in -338*b - 121 + 102*b + 117*b + 117*b. -2*b - 121 Collect the terms in -2135 + 434 - 89*k + 1701. -89*k Collect the terms in -1008*k + 525677 - 525677. -1008*k Collect the terms in -w - 22287840712801 + 22287840712801. -w Collect the terms in 15 - 11 - 4 - 48*d**2 + 4 - 3. -48*d**2 + 1 Collect the terms in -40160*z**2 + 64191*z**2 + 39222*z**2 - 1 + 84957*z**2 - z. 148210*z**2 - z - 1 Collect the terms in -141*i + 3 - 17 + 21. -141*i + 7 Collect the terms in -8617*w**3 - 8049*w**3 + 24583*w**3 - 9579*w**3. -1662*w**3 Collect the terms in 10*s**3 - 19768 + 11*s**2 + 19768. 10*s**3 + 11*s**2 Collect the terms in -6*i**3 + 8016314124*i + 0*i**3 - 8016314124*i + 2*i**3. -4*i**3 Collect the terms in -7 + 511*v**2 - 13 - 294*v**2 - 218*v**2 + 6. -v**2 - 14 Collect the terms in -421*b**2 - 971*b**2 - 394*b**2 - 401*b**2 - 399*b**2 + 2587*b**2. b**2 Collect the terms in 1395125*m**3 - 697335*m**3 - 690940*m**3 - 1. 6850*m**3 - 1 Collect the terms in 24*w**2 - 2 - 13*w**2 + 25*w**2 - 8990*w. 36*w**2 - 8990*w - 2 Collect the terms in -4727 + 10*i + 4727 - 221*i**3 - 6*i - 68*i**3. -289*i**3 + 4*i Collect the terms in -75*a**2 + 13 + 13*a**2 + 1 + 81*a**2 - 14. 19*a**2 Collect the terms in -518*s - 81*s + 43*s**3 + 599*s. 43*s**3 Collect the terms in 1 + 1056237*l**2 + 39*l + 186*l - 1056240*l**2. -3*l**2 + 225*l + 1 Collect the terms in -168*p**3 + 4 - 298*p**3 + 842*p**3 - 4. 376*p**3 Collect the terms in -128207410*w**3 + 128207412*w**3 - 9*w + 9*w. 2*w**3 Collect the terms in -3 - 4169*s**2 + 3 + 1177*s**2 + 2979*s**2. -13*s**2 Collect the terms in 3*w - 7*w + 47 - w - 49 - w - 6*w - 24*w**2. -24*w**2 - 12*w - 2 Collect the terms in 5*g**2 - 3238*g**3 - 3231*g**3 + 66*g**2 + 6479*g**3. 10*g**3 + 71*g**2 Collect the terms in -45*c**3 + 7*c**3 + 16*c**3 + 21*c**3 + 10*c**3 - 47*c**3 + 16*c**3. -22*c**3 Collect the terms in 40033902283751 + 15*h - 40033902283751. 15*h Collect the terms in -19*c - c**2 - 13*c - c - 501*c**3 + 60*c - 5*c. -501*c**3 - c**2 + 22*c Collect the terms in -163*q**3 - 1016*q**2 + 1003*q**2 + 158*q**3. -5*q**3 - 13*q**2 Collect the terms in -20*g**2 - 16*g**2 - 20*g**2 - 474*g**2 - 21*g**2 + 556*g**2. 5*g**2 Collect the terms in -37469651948*g**3 + 2*g + 37469651947*g**3 - 2*g. -g**3 Collect the terms in 57*u + 59*u + 3347 + 63*u - 177*u. 2*u + 3347 Collect the terms in 69163*z**3 + 48116*z**3 + 70414*z**3. 187693*z**3 Collect the terms in -13*l**3 + 272*l + 23*l**3 - 11*l**3 + 0*l**3. -l**3 + 272*l Collect the terms in 165*n**3 + 118*n**3 - 437*n**3 + 24*n**3. -130*n**3 Collect the terms in 2 - 17788*h**3 - 18034*h**3 - 2 + 35540*h**3 - 4*h. -282*h**3 - 4*h Collect the terms in 15208*s + 19013*s - 34221*s - 71*s**2. -71*s**2 Collect the terms in -3*p + 3*p - 362692*p**2 + 362692*p**2 - 272*p**3 + 273*p**3. p**3 Collect the terms in -3677954*x - 3677986*x + 11033912*x - 3677974*x. -2*x Collect the terms in -42*c**2 + 67061*c**3 + 42*c**2 - 5013*c**3. 62048*c**3 Collect the terms in -h + 95 + 9*h - 8*h - 97 - 2*h. -2*h - 2 Collect the terms in -685*n**2 - 25*n**3 + 161*n**2 + 197*n**2 + 276*n**2 + 243*n**2. -25*n**3 + 192*n**2 Collect the terms in -21296 - 21303 - 21179 - 2*b + 63778. -2*b Collect the terms in -3621*u + 5*u**2 - 3614*u - 3734*u + 10969*u. 5*u**2 Collect the terms in 8*p - p - 3*p - 363184 - 3*p. p - 363184 Collect the terms in -561516*j**2 - 561621*j**2 + 1123305*j**2. 168*j**2 Collect the terms in 706 + 424 + 417 - 1547 + 70*n. 70*n Collect the terms in 9694*o**2 + 9713*o**2 - 119*o**3 - 19405*o**2. -119*o**3 + 2*o**2 Collect the terms in 274*x - 32*x + 24*x + 878*x + 386*x. 1530*x Collect the terms in -z**2 + 0 + 2060526*z + 0 - 2060617*z. -z**2 - 91*z Collect the terms in 2738*f - 5463*f + 2816*f. 91*f Collect the terms in 10597*h - 1 + 1 - 21443*h + 10776*h. -70*h Collect the terms in 3401788 + 3402026 - 19*f**3 - 6803814. -19*f**3 Collect the terms in 8228*y**3 + 5455*y**3 - 4230*y**3 + y**2. 9453*y**3 + y**2 Collect the terms in 5*u
{ "pile_set_name": "DM Mathematics" }
emainder when l(-20) is divided by 15? 14 Let u(m) = m**3 + 3*m**2 - m. Suppose 5*b - k + 11 + 24 = 0, -8 = 3*b + 2*k. What is the remainder when 12/(-18) - 28/b is divided by u(-3)? 1 Suppose -4*i = -3*c + 275 - 42, 0 = -5*i + 20. Calculate the remainder when c is divided by 17. 15 Let n(f) = f**2 - 5*f + 2. What is the remainder when n(-4) is divided by -3 - ((-1)/(-3) - (-40)/(-3))? 8 Let k be 1 + -3 + 6 + 2. Let v = k - 3. Suppose 2 = -v*n + 8. What is the remainder when 2 is divided by n? 0 Let a = -1 + 13. Let c(q) = 6*q + 45. What is the remainder when c(-2) is divided by a? 9 Let l(t) = -t**3 - 3*t**2 + 12*t + 28. Calculate the remainder when 106 is divided by l(-5). 16 Let c be (-3 - -9)*8/3. Suppose 0 = 4*z - c, 4*z + 38 = 3*k - 0*z. Calculate the remainder when k is divided by 7. 4 Let y = -14 - -4. Let s(b) = b**2 + 6*b - 4. Let x be s(-6). Let q = x - y. Calculate the remainder when 9 is divided by q. 3 Let j(u) = -u**2 + 17*u + 21. Calculate the remainder when j(14) is divided by 17. 12 Let x = 3 + 0. Calculate the remainder when 7 is divided by x. 1 Let s(a) = -5*a - 18. Calculate the remainder when 125 is divided by s(-12). 41 Let w(n) = 16*n**2 + 5*n + 3. Calculate the remainder when w(-2) is divided by 15. 12 Let o = -17 - -31. Calculate the remainder when 50 is divided by o. 8 Let r(k) = 35*k**2 - 4*k. What is the remainder when r(-1) is divided by 14? 11 Let l(b) = b**3 - 2*b**2 - 2*b - 3. Let n be l(3). Suppose n*u - 4*u = -28. What is the remainder when u is divided by 5? 2 Suppose 4*u - 4*q = -40 - 24, -5*u + q = 88. Let v = 42 + u. Calculate the remainder when v is divided by 13. 11 Suppose 7*v + 70 = 12*v. Let m = -95 - -148. Calculate the remainder when m is divided by v. 11 Suppose -4*a = 2*p - 13 - 7, -a = p - 6. Let k(n) = 13 - n**2 + 2*n**p + 10*n + 0. What is the remainder when 10 is divided by k(-9)? 2 Let i be 107/4 - 1/(-4). Suppose -4*p + i = -p. Calculate the remainder when (-2)/(-5) + -164*(-33)/220 is divided by p. 7 Let c be (-30)/(-4)*4/(-5). Let m = 11 + c. What is the remainder when 9 is divided by m? 4 Let x = 11 + -2. Suppose -49 + x = -4*j. What is the remainder when 27 is divided by j? 7 Let l(q) = 3*q - 1. Let s be l(1). What is the remainder when s - (-1 - 36 - -2) is divided by 20? 17 Let p(d) = d**3 + 7*d**2 + d + 10. Let b be p(-7). Suppose 0*m = b*m - 9. Let w = -10 + 17. Calculate the remainder when w is divided by m. 1 What is the remainder when 31 is divided by (154/70)/(2/10)? 9 Suppose 0 = 4*q + 2 - 10, 2*i - 70 = 4*q. What is the remainder when i is divided by ((-20)/6)/(1/(-3))? 9 Suppose 0 = -41*p + 42*p - 6. What is the remainder when p is divided by 4? 2 Let w(r) = r + 10. Suppose 2*l - 6*j + 3*j = -22, -5*j = -2*l - 26. Let u be w(l). Let g(o) = 8*o - 3. Calculate the remainder when 24 is divided by g(u). 11 Suppose -u + 0*u = 5, 4*a + 25 = -u. Let l(w) = 19 - w**2 + 3*w + 2*w**2 - 12. What is the remainder when l(a) is divided by 6? 5 Suppose 0 = -4*l - 8*i + 3*i + 18, 5*l - 5*i = 0. Let c(r) = 0*r - l*r - 1 + r**2 + 4*r. What is the remainder when 13 is divided by c(2)? 6 Let p = -221 - 311. Calculate the remainder when 29 is divided by p/(-36) + (-2)/(-9). 14 Let k(b) = b**2 - 5*b + 10. Let c be k(-9). Let g be (-9)/(-6)*c/6. Suppose -d - 4*w + 0*w = -g, -w = -5*d + 212. What is the remainder when d is divided by 22? 20 Let d = 55 + -33. Let c(r) = -2*r - 2. Let s be c(12). What is the remainder when d is divided by 4/s - (-632)/52? 10 Suppose -5*n = 5 - 65. Calculate the remainder when 34 is divided by n - 6 - (1 - 4). 7 Suppose 2*g + 0*j - 25 = -j, -g = 5*j - 8. What is the remainder when g is divided by 7? 6 Let r(n) = n + 16. Calculate the remainder when r(15) is divided by 16. 15 Let n(b) = 12*b - 45. Calculate the remainder when 161 is divided by n(6). 26 Let v = 102 - 74. What is the remainder when v is divided by 17? 11 Suppose 3*v + 10 = 5*v. What is the remainder when 12 is divided by v? 2 Let d = -1 + 22. Let b = d - 12. Calculate the remainder when b is divided by 5. 4 Let v be (5*1)/(7/21). Let x = -5 + v. What is the remainder when x is divided by 3? 1 Let z = 96 + -92. Suppose 0 = 4*o - o - 51. Calculate the remainder when o is divided by z. 1 Suppose 12 + 5 = -y. Let t = y + 2. Let g = 4 - t. Calculate the remainder when g is divided by 7. 5 Let y = 28 - 1. Let b(q) = q + 9. Calculate the remainder when 171/y + (-4)/(-6) is divided by b(-6). 1 Let g(o) = -o**3 + 9*o**2 + 11*o - 8. What is the remainder when g(9) is divided by 19? 15 Let i be ((-18)/(-8))/((-1)/(-8)). Let w be (-14)/i - 2/9. What is the remainder when 5 is divided by (2 + (w - -1))/1? 1 Suppose -2*q + 123 + 19 = 0. Suppose 330 = 5*n - 3*o, 13 - q = -n - o. What is the remainder when n is divided by 16? 15 Let b = 193 + -94. Suppose 2*o - 3*z = b, 5*o - 86 = -2*z + 114. Calculate the remainder when o is divided by 22. 20 What is the remainder when (-7 + -1)/(6/(-33)) is divided by 276/4*2/6? 21 Calculate the remainder when 3 is divided by 4/(-2) - (-1 + -9 + 6). 1 What is the remainder when (-2 + 3)*26 - -3 is divided by 15? 14 Let m(c) = -3*c + 8. Let k be m(-10). Suppose -t = t - k. What is the remainder when t is divided by 11? 8 Let z = -146 - -214. Let y = -40 + z. Calculate the remainder when y is divided by (-1)/(-1) - (-10 + 1). 8 Let s = -1 - 6. What is the remainder when (s/14)/(1/(-38)) is divided by 5? 4 Let j = -39 - -51. What is the remainder when 41 is divided by j? 5 Let s = 26 - -5. Suppose -4*w + 2*w = -4*g + 16, -2*w - 6 = -2*g. Suppose 2*r + w*o = 22, 0*o - 3*o = 5*r - 55. What is the remainder when s is divided by r? 9 Let i(z) = 13*z + 107. Let h(s) be the first derivative of -3*s**4/4 - s**3 + 3*s**2/2 + 1. Calculate the remainder when h(-3) is divided by i(-7). 13 Let u be (1/1)/(1/(-6)). What is the remainder when 27 is divided by u/(-10) - (-64)/10? 6 Let n(r) = 9*r + 1. Let h(s) = -s**2 + s + 1. Let d(z) = -z**2 + 5*z - 1. Let w(y) = d(y) - 2*h(y). Calculate the remainder when n(3) is divided by w(-6). 13 Suppose -4*r = -20, 0 = -4*i + 4*r + r + 523. Suppose -3*v = y - i, 5*v + 0*v + 3*y = 231. Suppose 5*x - 2*x = v. What is the remainder when x is divided by 8? 7 Suppose 18 + 10 = -2*p. Let v = p - -8. What is the remainder when 3 is divided by 18/(-15)*15/v? 0 Suppose h + 34 = 2*h. Suppose -2*d + 8*g - 16 = 4*g, 3*d = -5*g - 79. What is the remainder when h is divided by (d/(-15))/((-1)/(-10))? 10 Let a be (7 - 0) + (-2 - -1). Let u = -9 - -14. Calculate the remainder when 52/6 + a/(-9) is divided by u. 3 Let y be 6/(-4)*(-48)/(-18). Let q(h) = h - 6. Let r be q(7). Calculate the remainder when r/2 + (-194)/y is divided by 17. 15 Let n(r) = 5*r**2 + 2*r - 1. Let y(w) = w**3 + 4*w**2 - 8*w - 5. Calculate the remainder when n(-3) is divided by y(-5). 8 Calculate the remainder when 74 is divided by -1*5*(-42)/14. 14 Let v = 16 + -9. What is the remainder when v is divided by (80/48)/(1/3)? 2 Let x(f) = -f**3 + 6*f**2 - 3*f + 12. Let d be x(6). Let q(v) = -v**3 - 7*v**2 - 6*v + 3. What is the remainder when 17 is divided by q(d)? 2 Let b(m) = -m**2 + 10*m - 8. Let q = 1 + -1. Let w be (8 - (1 + q)) + 0. Calculate the remainder when b(w) is divided by 7. 6 Let f(b) = -b + 7. Let l be f(6). Suppose -l = -5*r + 9. What is the remainder when 7 is divided by r? 1 Let c = -42 + 44. What is the remainder when 3 is divided by c? 1 Suppose -2*n = 3*t - t - 8, 5*n = 0. Let w = 9 + 7. Suppose t = -f + w. What is the remainder when 33 is divided by f? 9 Suppose 21 - 353 = -4*p. Let y = -54 + p. What is the remainder when y is divided by ((-2)/(-1))/((-3)/(-15))? 9 Let q = 32 + -15. Suppose l - 32 = 17. Calculate the remainder when l is divided by q. 15 Let s = 149 + -98. What is the remainder when 203 is divided by s? 50 Let h = -8 - -8. Suppose h = -u, -3*b + 4*b + 5*u = 3. Calculate the remainder when b is divided by 3. 0 Let h be 14/1 + 2 + -2. What is the remainder when 18 is divided by (-7)/h*(-20)/2? 3 Let y = -65 + 120. Calculate the remainder when y is divided by 19. 17 Let p be (-3)/9 + (-41)/3. Let r = p + 23. What is the remainder when r is divided by (-50)/15*3/(-2)? 4 Let u(r) = r**2 + r + 4. What is the remainder when 29 is divided by u(-3)? 9 Let z(g) = -g**3 + 3*g*
{ "pile_set_name": "DM Mathematics" }
14640? 120 What is the highest common divisor of 9 and 161748? 9 Calculate the greatest common factor of 432 and 6939. 27 What is the highest common divisor of 94225 and 25? 25 What is the highest common divisor of 36 and 736461? 9 Calculate the highest common divisor of 612 and 27999. 153 Calculate the greatest common factor of 1147 and 2604. 31 What is the greatest common factor of 1545 and 25029? 309 What is the greatest common divisor of 280 and 22200? 40 Calculate the highest common divisor of 16039 and 126074. 373 What is the highest common factor of 454 and 510977? 227 Calculate the greatest common divisor of 4944 and 8961. 309 What is the highest common divisor of 157 and 6049524? 157 What is the highest common divisor of 47852 and 4? 4 Calculate the highest common divisor of 33129 and 486. 81 Calculate the highest common factor of 6432 and 310344. 1608 What is the highest common divisor of 499319 and 699? 233 What is the highest common factor of 9842 and 2926? 266 What is the greatest common divisor of 2673 and 17253? 243 Calculate the highest common factor of 7460 and 5. 5 What is the highest common factor of 11 and 2186415? 11 Calculate the highest common divisor of 22 and 1079232. 22 Calculate the greatest common divisor of 15 and 9169395. 15 What is the greatest common divisor of 2252 and 7? 1 Calculate the highest common divisor of 60 and 8397560. 20 What is the greatest common factor of 1352 and 273949? 169 What is the highest common divisor of 766315 and 11? 11 What is the greatest common factor of 11 and 560197? 11 Calculate the greatest common factor of 439033 and 133. 133 What is the highest common divisor of 68 and 34068? 68 What is the highest common divisor of 44240 and 79? 79 Calculate the greatest common factor of 5756 and 84. 4 Calculate the greatest common divisor of 1564210 and 25. 5 What is the highest common factor of 833 and 451537? 17 What is the highest common factor of 110 and 86218? 22 What is the greatest common factor of 342810 and 293? 293 What is the highest common divisor of 6075 and 227475? 675 Calculate the highest common factor of 1864 and 1267054. 466 What is the greatest common divisor of 14 and 795802? 14 Calculate the greatest common factor of 2 and 121298. 2 Calculate the highest common factor of 18971 and 183. 61 Calculate the greatest common factor of 99 and 18870. 3 What is the greatest common divisor of 2440 and 12520? 40 What is the greatest common factor of 262855 and 15? 5 Calculate the highest common divisor of 26355 and 105. 105 Calculate the greatest common divisor of 856948 and 4. 4 Calculate the greatest common factor of 357 and 239883. 21 Calculate the greatest common divisor of 18704 and 4. 4 What is the greatest common factor of 139 and 349446? 139 What is the greatest common divisor of 60425 and 25? 25 Calculate the highest common divisor of 15363 and 201. 3 Calculate the highest common factor of 5691 and 2667. 21 Calculate the greatest common divisor of 3770 and 254098. 754 What is the greatest common divisor of 226070 and 260? 130 What is the greatest common divisor of 4 and 306960? 4 What is the highest common divisor of 21329 and 231? 77 What is the greatest common factor of 3762 and 23562? 198 What is the highest common divisor of 12 and 1346? 2 What is the highest common factor of 1078 and 13454? 14 Calculate the highest common divisor of 14880 and 3840. 480 Calculate the greatest common divisor of 728 and 162330. 14 Calculate the greatest common factor of 45 and 3987. 9 Calculate the highest common divisor of 7480 and 33. 11 Calculate the highest common factor of 2708 and 36. 4 What is the greatest common divisor of 10648596 and 238? 238 What is the greatest common divisor of 10200 and 7500? 300 Calculate the highest common divisor of 1147575 and 50. 25 Calculate the greatest common divisor of 621270 and 165. 15 What is the highest common factor of 81809 and 273? 91 What is the highest common divisor of 70 and 240954? 14 Calculate the highest common factor of 80 and 3837160. 40 What is the highest common factor of 2230 and 175055? 1115 Calculate the highest common divisor of 60381 and 81. 9 What is the highest common divisor of 75033 and 21? 21 Calculate the greatest common divisor of 5330 and 146. 2 What is the greatest common factor of 49 and 1486709? 49 What is the greatest common factor of 82 and 233782? 82 Calculate the highest common divisor of 201554 and 4504. 1126 Calculate the greatest common divisor of 1231519 and 381. 127 What is the highest common divisor of 378 and 27054? 54 Calculate the greatest common divisor of 168 and 86100. 84 Calculate the highest common divisor of 69 and 226297. 23 What is the highest common divisor of 17766 and 705? 141 What is the greatest common divisor of 1256 and 157? 157 Calculate the highest common divisor of 123696 and 3888. 144 Calculate the greatest common divisor of 13 and 1177579. 13 Calculate the highest common divisor of 946787 and 573. 191 Calculate the highest common divisor of 252 and 118881. 63 Calculate the greatest common divisor of 319033 and 5863. 143 What is the highest common factor of 240 and 280368? 48 What is the highest common factor of 116780 and 10? 10 Calculate the greatest common divisor of 1081 and 17766. 47 What is the greatest common divisor of 192 and 3954? 6 What is the highest common divisor of 38650 and 40? 10 Calculate the highest common factor of 256928 and 74. 74 Calculate the greatest common factor of 1176 and 613088. 392 What is the highest common factor of 26300 and 23407? 263 Calculate the greatest common factor of 1664 and 7306. 26 Calculate the greatest common divisor of 20 and 6470. 10 What is the highest common divisor of 10846 and 2006? 34 What is the highest common divisor of 5490 and 36? 18 Calculate the greatest common factor of 3240 and 15885. 45 What is the highest common factor of 16884 and 4788? 252 Calculate the greatest common divisor of 2823 and 236191. 941 Calculate the highest common divisor of 53 and 23. 1 Calculate the highest common factor of 27 and 413451. 27 What is the greatest common divisor of 14800 and 8992? 16 Calculate the highest common divisor of 850 and 21454. 34 Calculate the highest common divisor of 1592144 and 2114. 302 Calculate the greatest common factor of 2086 and 47306. 14 Calculate the greatest common divisor of 4874 and 239. 1 What is the greatest common divisor of 1010 and 245430? 1010 Calculate the greatest common divisor of 16 and 820232. 8 What is the greatest common divisor of 12 and 209892? 12 What is the greatest common factor of 2334925 and 4425? 1475 What is the highest common factor of 64 and 14368? 32 What is the highest common divisor of 13416 and 9417? 129 Calculate the greatest common divisor of 291 and 4253256. 291 Calculate the highest common factor of 3668 and 86984. 524 Calculate the greatest common divisor of 1465165 and 260. 65 Calculate the greatest common factor of 30426 and 75604. 922 What is the greatest common factor of 74300 and 600? 100 Calculate the highest common factor of 21111 and 155. 31 What is the greatest common factor of 6072 and 82632? 264 Calculate the greatest common divisor of 6370 and 23205. 455 Calculate the highest common divisor of 341 and 6677. 11 What is the greatest common factor of 90132 and 464? 116 What is the greatest common factor of 1986 and 12? 6 What is the greatest common factor of 5244 and 4332? 228 Calculate the highest common factor of 20 and 2162540. 20 What is the highest common divisor of 59556 and 22764? 84 What is the greatest common divisor of 747 and 137697? 249 Calculate the highest common divisor of 98165 and 580. 145 Calculate the greatest common factor of 1584723 and 138. 69 Calculate the highest common factor of 153663 and 17. 17 Calculate the greatest common divisor of 1206570 and 60. 30 Calculate the greatest common factor of 6 and 8172312. 6 What is the greatest common divisor of 256 and 1317? 1 What is the greatest common divisor of 1208 and 14? 2 What is the greatest common divisor of 3248 and 5012? 28 Calculate the greatest common factor of 51247 and 7. 7 Calculate the greatest common factor of 304386 and 7566. 582 Calculate the highest common factor of 26 and 167752. 2
{ "pile_set_name": "DM Mathematics" }
ltiple of 36? True Suppose 7*p = 4*p - 21. Let n = p - -39. Is 5*5*n/20 a multiple of 14? False Let d = -35 + 71. Is 33 a factor of d? False Suppose 0 = -o + 4*r + 26, 39 = -5*o - 3*r + 146. Is 2 a factor of o? True Suppose 0 = 4*v + v. Suppose -3*i - 3*l - 1 + 31 = v, 0 = -l - 5. Let x = i + -8. Is x a multiple of 7? True Let y(z) be the first derivative of -z**4/4 - 13*z**3/3 - 15*z**2/2 + 8*z + 8. Is y(-12) a multiple of 22? True Suppose -n - 2*d = d - 19, 4*d = 20. Suppose 3*r + 121 = n*u + u, 4*u - 113 = -3*r. Does 14 divide u? False Suppose 0 = -3*b - 0*b - 24. Let s = b + 18. Is s a multiple of 4? False Let d(n) = -2*n - 1. Let g be d(-3). Suppose 4*v = -4*x + 48, -g*v + 2*x = -23 - 72. Does 12 divide v? False Let u be (-12)/8 + 9/2. Let q(z) = 2*z**3 - 3*z**2 - 4*z + 2. Does 5 divide q(u)? False Suppose -41 = -4*n + 55. Let y(g) = -g**3 - 4*g**2 + 3*g - 7. Let a be y(-5). Suppose -a*k = 0, 4*d - k - 2*k - n = 0. Is 6 a factor of d? True Suppose -5*m + 18 = -2*m. Let v = 13 + -11. Suppose w + j - m*j = 17, 0 = -w + v*j + 11. Is 3 a factor of w? False Is 1 + 104 + (-50)/10 a multiple of 10? True Let f = -39 - -55. Is f a multiple of 16? True Suppose -5*b = -0*b. Suppose 3*i + 11 + 4 = b. Let l(n) = -4*n + 7. Is 10 a factor of l(i)? False Suppose 2*s = -4, 3*p = -2*s + 3*s + 8. Let z = p + 5. Is 3 a factor of 1 + 0 + -5 + z? True Suppose f + 4*q = 44, -f - 3*q + 43 = -0*q. Suppose f = -7*n + 3*n. Let k(g) = g**2 + 8*g - 6. Is 7 a factor of k(n)? True Suppose -4*l + 2*d = 46, 2*d + 0*d + 8 = -2*l. Suppose -20 = -5*n - 5*c, 4*c - 16 = -5*n + 3*c. Is 7 a factor of (-84)/l*n/2? True Let i be 130/35 + 6/21. Suppose 9*t = i*t + 45. Does 3 divide t? True Suppose -2*n - 2 = -0*a - 2*a, -3*n + a + 5 = 0. Suppose n*w - 8 = -2*v, 25 - 7 = 5*w + v. Suppose z + 21 = w*z. Is z a multiple of 7? True Let n(b) = -b**3 + 14*b**2 - 12*b - 9. Is n(13) even? True Suppose 2*b = -b + 90. Suppose 6 + b = 4*x. Is x a multiple of 9? True Suppose -2*o - 76 = -j - 519, 5*o + 5*j = 1130. Is o a multiple of 73? False Let u be (-1335)/(-9) - 4/12. Suppose -3*h - h + u = 0. Does 15 divide h? False Suppose -4*o + g - 2*g = -503, 4*g + 488 = 4*o. Suppose -4*h + o = -3. Is 32 a factor of h? True Let t(w) = w**3 + 5*w**2 - w - 4. Let m be t(-5). Is (3 - m)/(8/12) even? False Does 34 divide ((-28)/(-12))/((-2)/(-108))? False Let d(q) = q**3 + 7*q**2 + 6*q + 5. Let g be d(-5). Let z be ((-64)/40)/(4/(-10)). Suppose z*a - g = 23. Is 7 a factor of a? False Let d = 13 - 9. Suppose 4*t - 19 = d*v - 79, -3*v + 50 = -4*t. Does 3 divide v? False Let n = 21 - 9. Suppose 2*c = c - 5*r - 22, 3*c = r + 14. Let k = c + n. Is k a multiple of 4? False Let x be -26*(-5)/4*-2. Let h = -21 - 16. Let q = h - x. Does 14 divide q? True Let g(f) = 14*f**2 + 3*f. Let m(r) = -13*r**2 - 2*r. Let y(z) = -3*g(z) - 4*m(z). Does 3 divide y(-1)? False Suppose 0 = -0*b - 5*b + 1510. Suppose -b = 4*x + 134. Let d = -61 - x. Is 16 a factor of d? True Let u = 1 - 0. Suppose -4*z + 2*i = -84, -z = 2*i + u - 17. Is 10 a factor of z? True Suppose 4*d + 97 = 4*n - 19, -2*n + 3*d = -61. Is (n/4)/((-8)/(-48)) a multiple of 13? True Let p(i) = 2*i**2 - i + 4. Let k be 2/6*(17 - 5). Does 21 divide p(k)? False Let v be 0 + 4 - -2 - 3. Suppose -2 = v*r - 4*r. Does 5 divide 2 + (15 - -2 - r)? False Let c(v) = 1. Let q(d) = d + 21. Let t(h) = -3*c(h) + q(h). Does 10 divide t(-8)? True Let b(u) = u**3 + 5*u**2 - 5. Let r be b(-5). Let k be 2/r - 776/(-40). Suppose 0 = -3*v + k + 11. Is v a multiple of 5? True Let y(u) = u**3 - 5*u**2 + 3*u + 8. Let s be y(6). Suppose -4*g = -3*j + s, 2*j - 7*g + 2*g - 46 = 0. Suppose -j = c - 2*c. Is 9 a factor of c? True Let j(b) = b**2 - b. Let c(i) = -14*i**2 + 4*i + 4. Let k(l) = -c(l) - j(l). Let m be k(3). Suppose 4*w + 0*w = m. Is w a multiple of 13? True Let c(o) = -1 - 51*o - o**2 + 59*o - 2. Suppose 2*h - b = -2 + 9, -4*b + 2 = -3*h. Is c(h) a multiple of 9? True Suppose 0 = -k - u - 4, -k + 2*k - 4*u - 16 = 0. Let o be (0 - -2) + (k - -2). Suppose -88 = -3*t - o*h, 0 = -2*t - 0*t + 2*h + 40. Is 11 a factor of t? False Suppose s + 0*s = p + 17, 37 = s - 5*p. Suppose 0 = -3*b - s + 96. Is 10 a factor of b? False Suppose 4*s - 90 = 198. Is 36 a factor of s? True Suppose 2*d = d - 5, -3*d - 151 = 4*n. Suppose -y = 1, 0*w - 4*w + 4*y = -256. Let c = n + w. Does 23 divide c? False Is -438*30/(-12)*2/10 a multiple of 49? False Let a(x) = -x - 1. Let n = 2 + -6. Does 3 divide a(n)? True Let q = -71 + 120. Suppose -4*z = -q - 39. Does 9 divide z? False Let v(m) = -6*m - 6. Let i(k) = k**3 + 4*k**2 - 2*k + 7. Let r be i(-5). Let y be v(r). Suppose 0 = -3*q + 30 + y. Is q a multiple of 19? False Let q(u) = -69*u - 1. Is 6 a factor of q(-1)? False Let f(o) be the first derivative of -o**4/4 + o**3/3 + o**2/2 + 76*o - 1. Is 26 a factor of f(0)? False Let t = -24 + 59. Does 7 divide t? True Is 5 a factor of -36*(-2 - 9/(-6))? False Let r(z) = 2*z**3 - 11*z**2 - 4*z - 15. Is r(8) a multiple of 39? True Suppose 5*l = -3*r + 212, -5*l + 3*r + 26 = -162. Does 3 divide l? False Suppose -j + 5*p = -3*j + 18, p + 6 = 2*j. Suppose 0*b = -b, 4*b + 32 = j*z. Is z a multiple of 3? False Is 9 a factor of (3 - 1)/(-8) - 2192/(-64)? False Let x be 0 + (1 - (-3 + 1)). Suppose 4*b + x*t - 179 = 0, 0 = -3*b - 3*t + 4*t + 131. Is 11 a factor of b? True Suppose -3*u = 5*h - u - 200, 185 = 5*h + 5*u. Does 7 divide h? True Let p(h) = -h**2 - 8*h + 10. Let y be p(-8). Suppose 2*f = -2*m + 5*m + 10, -y = -5*m. Does 4 divide f? True Let s be 4/20 + (-12)/10. Let k be -5 - -2 - (s + -2). Let o = 5 - k. Is o a multiple of 2? False Suppose 0 = -h + 1. Let r be (-2 - 36)*(-2)/4. Let k = h + r. Is k a multiple of 12? False Let h be 40/12*(-3)/(-2). Suppose 17 = -3*n + 2, -h*u = n - 80. Does 17 divide u? True Suppose -f = -6*f - 25. Let m(v) = -14*v + 10. Is 16 a factor of m(f)? True Suppose -3 + 18 = 3*h. Suppose -d - 23 = w + 4*w, -h*d = 2*w. Suppose d*g - 7*g + 25 = 0. Does 2 divide g? False Is (-5)/(-30) + 13015/30 a multiple of 14? True Suppose 2*y = -3*q + 299, 8*y + 3*q = 3*y + 761. Is 14 a factor of y? True Suppose 4*k = -0*k + 24. Let p = 2 - k. Is 4 a factor of (2/p)/((-2)/44)? False Suppose 16 = 4*g - 0. Is g even? True Let a(u) = 3*u**2 + 1 - 2*u**2 + 4*u + 0 - 2. Is a(-7) a multiple of 10? True Suppose -2*z = 18 + 2. Let c(l) = l**2 + 7*l + 12. Is c(z) a multiple of 21? True Suppose 0 = 4*a + 5*u - 35, a = -a - 4*u + 22. Is a a multiple of 5? True Let v(u) = -u**2 - 8*u - 5. Let b = -5 - 0. Let w be v(b). Suppose n - w = -n. Is n a multiple of 5? True Suppose -19 = -5*w - 9. Is (-40)/2*w/(-4) a multiple of 10? True Suppose -3*v + 4*v = 2*t - 95, 5*t + 5*v = 200. Is t a multiple of 15? True Let m(o) = o**2 - 5*o + 4. Let z be m(5). Suppose -z*i + 25 = i. Is i a multiple of 5? True Let i(b) = b**3 + 12*b**2 + 12*b + 20. Is i(-11) a multiple of 5? False Let b = -1 - -3. Suppose x - b*x = -10. Does 9 divide x? False Let v be (-692)/(-6) + 4/(-12). Suppose -4*f = f - v. Is f a multiple of 9? False Let f = 539 + -383. Does 12 divide f? True Suppose 4*x + o - 144 - 316 = 0, x + 4*o = 100. Suppose 3*d + 246 = 5*q, 5*q - x = 2*d + 128. Is 25 a factor of q? False Is 11 a factor of 7/(14/8)*44*1? True Let w(j) = -19*j + 6. Is 24 a factor of w(-6)? True Let m = -4 - -5. Suppose 4*g + m = 9. Suppose 41 = g*y - 1. Does 21 divide y? True Suppose -3*x = -42 + 9. Is x a multiple of 10? False Suppose -3*z - 4*d + 168 = 0, -z = 2*d - 16 - 38. Does 10 divide z? True Let w(m) = m**2 + 14*m - 4. Let t be w(-14). Does 26 divide 13/(t + (-13)/(-3))? False Let q = -69 - -45. Let v = 17 + q. Does 27 divide (-268)/(-10) + v/(-35)? True Suppose 0 = -3*o + 13 - 4. Let v be -2 + 1/(o/12). Is 14 a factor of v - (-5)/(15/78)? True Let f = -5 - -10. Suppose 33 = -f*j + 8*j. Is j a multiple of 6? False Let a = 4 - 2. Let n be a/(-4)*(-5 - -1). Suppose 2*i - n*k + 148 = 7*i, 96 = 4*i - 4*k. Does 14 divide i? True Let t = 69 + -32. Suppose t = h - 2*o - 8, -3*h + 138 = -5*o. Is 17 a factor of h? True Let i be 3/(-5) + 6/(-15). Let x be (i + -2 + 1)*-7. Suppose -2*d - x = -4*o, 2*d = 4*o - 2*o - 8. Does 3 divide o? True Let a = -185 - -318. Is 21 a factor of a? False Let f be (3 + (-3)/1)/(-2). Suppose f = -4*q + 5*q - 11. Is 11 a factor
{ "pile_set_name": "DM Mathematics" }
3942 + 3905. Which is the closest to 0? (a) k (b) -1 (c) -2/3 (d) r d Let i = 627.09 - 6.69. Let r = i - 620. Suppose 5*v - 4 = 4*v. What is the closest to -8 in r, v, 6/7? r Let h = -3/10 + 2/15. Suppose 3*d - 1139 = 2*m, 2*m = -2*d - 0*d + 756. Let i = 376 - d. Which is the nearest to 1/3? (a) i (b) h (c) 19 b Let z = -19.7 - -17.35. Let c = 2.38 + z. Suppose s - 4*g + 2 = 4, -2*s = 4*g + 8. What is the nearest to 1 in c, s, -5? c Let m = 2.6 + -6.6. Let a = 0.08336 - -0.91664. What is the closest to a in m, -2/5, -1.6? -2/5 Let z = 6165 + -43157/7. What is the closest to z in -20.5, -0.2, 1? -0.2 Let i = 8 + -3. Let y = 0.279403 + 0.020597. What is the closest to 0.1 in 20, i, -0.4, y? y Let v = -4/3531 + -391/1177. Which is the nearest to 1? (a) v (b) -45/11 (c) 3 (d) -4 a Let h = -15321 - -15324. Let w = 27 - 19. Which is the closest to 1/4? (a) w (b) h (c) 2 c Let x be ((-208)/(-12))/((-465)/(-9)). Let n = x - -2/31. Let d be -1*((-24)/252 - (-19)/(-21)). What is the nearest to n in 0.3, -2/3, d? 0.3 Let s be ((-40)/(-5) - -2) + (-72)/7. Which is the closest to s? (a) -5 (b) -0.4 (c) 9/8 (d) 5 b Let s = -1665.6 + 1666. Which is the closest to 72? (a) -0.4 (b) 4 (c) s b Let g = -510.2 + 510. Let b = -3 + 1. Let k = -1 - b. What is the closest to k in g, 1, -3? 1 Suppose -4*j + 2*q = 14, -1941 = 3*j - 4*q - 1913. Let r = -4 + 6. Which is the nearest to 45? (a) r (b) j (c) -1 a Let y = 32748.3 - 32748. Which is the closest to -4? (a) y (b) -1.2 (c) -2/19 (d) -11 b Suppose 3*z - 7 = -3*q + 2, -q - 3*z - 1 = 0. Let l = -379/1893 + -84/631. What is the nearest to l in 1, q, 0? 0 Suppose -b - 8 = 2*y, 5*b - 3*y = -y - 16. Let o = -54020 - -54020.2. What is the nearest to -52 in 3, o, b? b Suppose 9*u - 8*u + 9 = 0. Let i = -276 - -1105/4. Which is the nearest to -1/4? (a) -2 (b) 5 (c) i (d) u c Let g = -165.6 - 399.9. Let l = g - -566. Which is the nearest to 1? (a) 0 (b) 1 (c) l (d) 2/19 b Let z = -5737 + 5738. Which is the closest to -2? (a) 158 (b) 0.5 (c) z b Suppose 1215*c = 1201*c + 14. What is the closest to -0.16 in -3, -2, 3, c? c Let x = -0.91826 - -0.41826. What is the closest to -0.1 in 51, x, 4, 1? x Suppose 10 = t - 34*p + 31*p, 0 = -5*t + p - 6. Let g = -0.2 + 0.4. What is the nearest to g in t, 2, 4? 2 Let u = -11 - -34/3. Let k = 25 - 34. Which is the nearest to u? (a) -0.2 (b) 2 (c) k a Suppose -674*f = -658*f. Which is the nearest to f? (a) 2/19 (b) -17 (c) 10 a Let z = -0.2 + 0.6. Let q = -43939 + 43939.3. What is the closest to -0.5 in 1/4, z, q? 1/4 Let l = -4.7781 - -0.7781. Which is the closest to -2? (a) l (b) 0.5 (c) 1 (d) 3/38 a Let v = -92.81 - -92.81. Let l = -7.6 - -7.4. Which is the nearest to -6/29? (a) l (b) 0.1 (c) v a Let u = -64.5 + 62.764. Let g = -0.264 + u. Which is the nearest to 2/5? (a) -3 (b) 19 (c) g (d) 0.1 d Let q = 40445/8 + -5056. Which is the closest to -50? (a) -0.3 (b) 2 (c) -1 (d) q c Let o be (-50)/(-66) + 6*(-5)/45. Let g = 0.002 + -55.002. Let r = -54.8 - g. What is the closest to 0.1 in -5, r, o? o Let f = -279.0569 + 0.0569. Let t = -278 - f. What is the nearest to t in 0.5, 14, -2? 0.5 Let y = 2208 + -2202. Which is the nearest to -1? (a) 0.1 (b) 3 (c) y a Let s = -2092 + 6212/3. Let h = s - -21. Let m = -2.7 - -0.7. Which is the nearest to h? (a) m (b) -5 (c) 2/7 c Suppose t - 8 = 2*z, 3*t - 20 = -10*z + 12*z. What is the closest to z in 0.3, -5, -196, 1? 0.3 Let o be (5 - 7)*(-2)/(-44). Let n = -207 + 381. Let q = n - 175. What is the nearest to q in o, 0.02, 3/2? o Let l = -33 + 31. Let a be 481/364 - (-3)/(-42). What is the nearest to -0.1 in a, -4, l? a Let f = 54.5 - 56.91. Let t = f + 1.91. Which is the closest to -2? (a) t (b) -10 (c) 2/9 a Let q be -10 - ((-2)/(-6) + 962/(-78)). Let u = -7 + 6.7. Let r = u + 0. Which is the closest to q? (a) 0.2 (b) -3 (c) r a Let d = -2/253 - 496/1265. Let u = -281 + 281. Which is the nearest to d? (a) 5 (b) u (c) 10 b Let j = 7.42 + -75.25. Let s = -0.83 - j. Let y = -73 + s. What is the closest to y in -5, 0.5, 0? -5 Let p = 815.57 - 811. Let k = p - -1.43. What is the closest to -1 in 1/3, k, 2/3? 1/3 Let n = 0.27895 - 0.87895. Which is the closest to -1.1? (a) 2/9 (b) -5 (c) n (d) 3 c Let f(d) = -d + 6. Let l be f(6). Suppose 0 = -5*j + 6 - 1. Let m = -3606 + 3605.98. Which is the nearest to l? (a) m (b) j (c) 0 c Let t = -2.12443 + 0.12443. Which is the nearest to 7? (a) 119 (b) -1 (c) t b Suppose 3*o = -o + 12. Let y be 9/(-3) - -5 - 7/o. Let g = 0.1 + 2.9. Which is the closest to y? (a) 5 (b) -2/5 (c) g b Let x = -0.32928 - -0.02928. Which is the closest to -15/7? (a) 2 (b) 2/7 (c) x (d) -0.4 d Let d = -0.006 + 0.12. Let r = 49.886 + d. Let t = -36 - -177/5. Which is the nearest to -1/2? (a) r (b) t (c) 2/5 b Let y(q) = -q**3 + 4*q**2 + 5*q - 6. Let l be y(6). Let r = l + 51. Suppose r*m - 4 = 2*m. Which is the nearest to 0? (a) m (b) -0.5 (c) 1/4 c Suppose -5*x - 1966 = -626. Let t = -270 - x. Which is the nearest to 0.2? (a) t (b) 1 (c) 1/13 c Let x be 10/(-25) + (-22)/(-5). Let w = 493 + -504. Let z be 1 + w/(-26)*-2. What is the closest to -1/3 in x, 0.6, z? z Suppose -2*d = 3*d - 3*n + 27, 0 = 2*d - 3*n + 18. Let p be (d/72)/(15/135). Let g = -2/37 + -29/148. Which is the nearest to 0.6? (a) g (b) 0.5 (c) p b Let n = -110 - -113. Let l be (-324)/63 + (n - -2). What is the nearest to -10 in l, 5, -4? -4 Let y = 14929 - 14929. What is the nearest to -2/7 in y, -595, 0.1, -1? y Let i be (-11)/12 + (-90)/(-72). Which is the closest to 1/3? (a) -1 (b) -4 (c) 3 (d) i d Let y = 1070.8 + -1071. Which is the closest to -1/2? (a) 22/79 (b) y (c) 0 (d) 1/7 b Let r = -19152 - -19154. Let w = 43 - 28. Let h = -3.7 + 4. Which is the closest to r? (a) w (b) h (c) 0.5 c Let w = -42.11 + 42.7. What is the nearest to -2/3 in -2/7, 4, -0.5, w? -0.5 Let z = 3.9 + 169.1. Let s = z - 173.1. What is the nearest to -3 in -5/2, s, 0.1? -5/2 Suppose 93 = 6*z - 63. Let y = -22 + z. Suppose 0 = f + y*x - 11, 4 = -f + 3*x - 2*x. Which is the nearest to f? (a) 10 (b) -1 (c) -0.5 b Let o = 102.06 - 102. Let f be (-22)/(-33) - (-2)/(-6). What is the closest to o in 1, 2/3, f? f Let v = 40064 + -39869. What is the closest to 1 in -1/5, 7/3, v? -1/5 Let r = -3.035 + 2.735. Let h = 13 + -12.6. Which is the nearest to 1/4? (a) -3 (b) r (c) h c Let c = 1341 - 1345. What is the closest to 1/3 in 26, 4, c, 0? 0 Let n = 29463 + -29462.5. Which is the nearest to 2/9? (a) 35 (b) -9 (c) -3 (d) n d Let w = -231.773 - -232. Let o = -0.063 - w. What is the closest to -1/4 in o, -0.5, 3/5? o Let u = -472 + 5186/11. Suppose -2*r + 28 = 64. Let g be (-4)/9*r/(-12). What is the closest to 2/7 in 0, u, g? 0 Let l = 0.11 - 4.11. Let g = 1.6078 + -1.7078. Which is the nearest to g? (a) -3 (b) -2 (c) l b Let j(d) = 77*d**3 - 609*d**2 - 56*d - 2. Let z be j(8). Suppose 3*u - 20 = -2*t - 0, 33 = 5*u + 3*t. Which is the nearest to z? (a) 3 (b) u (c) -0.1 c Let u = 1159 - 1171. What is the closest to -0.02 in -2, u, -0.4, 1/2? -0.4 Let p = -0.6157 - -0.574. Let k = p + -0.2583. Let x = -57 + 229/4. What is the nearest to 0.1 in x, -5, k? x Let z be (-195)/375*5 - -2. Which is the closest to 6? (a) z (b) -2 (c) 5/11 (d) 2 d Let u(o) = -o**2 - o - 4. Let t be u(-1). Which is the nearest to 0? (a) -7 (b) t (c) 3 (d) 0.1 d Let w(f) = -f**3 + 2*f**2 + 5*f - 2. Let p be w(3). Suppose -p*b - 3 = -7*b, 2*k - 3*b = -3. What is the closest to -1/4 in 0.01, k, -3/2? k Suppose -54 + 42 = -3*w. Suppose 4*j + 2 = -3*m - 11, -m - 4*j = 7. Let x be 8/m + (-4 - w)/(-8). Which is the closest to 0? (a) 1 (b) 0 (c) x b Let l = -7112.5 - 372.5. Let o = 7491.006 + l. Let z = o + -0.006. What is the nearest to -0.1 in -3, z, 0.3? 0.3 Let g = 178.5 + -178.4. Which is the nearest to -0.4? (a) g (b) 0.09 (c) 3/10 (d) -0.4 d Let g = -7.356 + 7.756. Which is the nearest to -1/2? (a) 0.11 (b) g (c) 14 (d) -3 a Let r be (-19439)/2777*(-2)/(-119). Let f = -3/11 - -57/88. Which is the closest to f? (a) r (b) -2 (c) 1/8 c Let s = -295 + 295.501. Let j = -0.101 + s. Which is the closest to 0.05? (a) j (b) -5 (c) 3 a Let i be 1/(-7) - (15 - 41/((-15785)/(-5676))). S
{ "pile_set_name": "DM Mathematics" }
ut replacement from eeeeeeyeeeeeyeyeee. What is prob of picking 1 e and 2 y? 15/272 What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 2, m: 1, d: 5, q: 8, o: 1}? 1/68 Three letters picked without replacement from {o: 4, p: 8, d: 4, k: 4}. Give prob of picking 3 k. 1/285 Three letters picked without replacement from {b: 2, l: 2}. What is prob of picking 2 l and 1 b? 1/2 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwmmmmwmwwmwmw. 7/13 Calculate prob of picking 1 g, 1 i, and 1 t when three letters picked without replacement from iggiitigiggigggggg. 11/136 Calculate prob of picking 1 e and 2 y when three letters picked without replacement from {y: 2, e: 3}. 3/10 Three letters picked without replacement from {t: 1, l: 1, m: 1, d: 1, f: 1}. Give prob of picking 1 t, 1 f, and 1 m. 1/10 Four letters picked without replacement from xxzzxzzzzzz. Give prob of picking 2 x and 2 z. 14/55 What is prob of picking 2 p and 2 f when four letters picked without replacement from ppllflpfl? 1/42 Calculate prob of picking 1 s, 1 o, and 2 u when four letters picked without replacement from ouuuuuooousuouuuo. 27/238 Two letters picked without replacement from jzzjzaz. Give prob of picking 1 z and 1 a. 4/21 What is prob of picking 1 p and 1 n when two letters picked without replacement from khonnohfp? 1/18 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {x: 3, b: 1, w: 3}. 3/7 What is prob of picking 2 i and 1 x when three letters picked without replacement from icciiccx? 3/56 Two letters picked without replacement from {v: 1, r: 5, m: 1, n: 5, h: 4}. Give prob of picking 1 r and 1 h. 1/6 Four letters picked without replacement from {v: 1, i: 2, c: 1, o: 1}. What is prob of picking 2 i, 1 v, and 1 o? 1/5 Three letters picked without replacement from gppfpgppl. Give prob of picking 1 l and 2 p. 5/42 Two letters picked without replacement from {f: 5, s: 1, t: 1, z: 2}. Give prob of picking 2 z. 1/36 Two letters picked without replacement from ttzdydvvl. What is prob of picking 1 l and 1 t? 1/18 Three letters picked without replacement from {d: 2, s: 1, e: 5, j: 2, t: 2, v: 1}. What is prob of picking 1 t, 1 j, and 1 s? 2/143 Calculate prob of picking 1 w, 1 c, 1 k, and 1 s when four letters picked without replacement from {k: 2, s: 1, c: 1, p: 2, w: 1}. 2/35 Two letters picked without replacement from llllcllllllll. Give prob of picking 1 l and 1 c. 2/13 Three letters picked without replacement from okwkokookowowooowooo. Give prob of picking 3 w. 1/285 Four letters picked without replacement from {q: 1, n: 19}. Give prob of picking 4 n. 4/5 Calculate prob of picking 3 l when three letters picked without replacement from {v: 1, l: 4, c: 5, y: 8}. 1/204 Two letters picked without replacement from {z: 1, h: 7}. What is prob of picking 2 h? 3/4 What is prob of picking 1 x and 3 q when four letters picked without replacement from {q: 5, x: 3}? 3/7 Two letters picked without replacement from {q: 3, y: 7}. What is prob of picking 1 y and 1 q? 7/15 What is prob of picking 1 n and 1 f when two letters picked without replacement from {w: 4, f: 5, n: 7}? 7/24 Two letters picked without replacement from {b: 4, k: 4, s: 3}. Give prob of picking 1 k and 1 b. 16/55 Calculate prob of picking 2 u and 1 d when three letters picked without replacement from duduuu. 3/5 Two letters picked without replacement from {z: 3, u: 3, q: 1, e: 3}. Give prob of picking 2 e. 1/15 Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 3, i: 2, k: 3, w: 1, b: 1, y: 1}. 3/55 Three letters picked without replacement from {k: 1, u: 1, x: 3}. What is prob of picking 1 k and 2 x? 3/10 Three letters picked without replacement from sssop. Give prob of picking 1 p, 1 s, and 1 o. 3/10 Two letters picked without replacement from {i: 1, k: 1, c: 1}. What is prob of picking 1 c and 1 k? 1/3 What is prob of picking 3 f and 1 y when four letters picked without replacement from yyfyff? 1/5 Three letters picked without replacement from wfpsp. Give prob of picking 1 p, 1 w, and 1 f. 1/5 Four letters picked without replacement from {g: 7, x: 1, m: 5, i: 3}. Give prob of picking 1 x, 2 i, and 1 g. 3/260 Two letters picked without replacement from {w: 1, e: 1, t: 1}. What is prob of picking 1 e and 1 w? 1/3 Calculate prob of picking 2 l when two letters picked without replacement from llpl. 1/2 Two letters picked without replacement from hohohsohohpono. Give prob of picking 1 p and 1 o. 6/91 Calculate prob of picking 3 t and 1 m when four letters picked without replacement from ttaaattaaammtamtta. 7/204 Calculate prob of picking 1 r, 1 z, and 1 i when three letters picked without replacement from {r: 1, i: 2, w: 2, z: 8}. 8/143 Two letters picked without replacement from {e: 8, j: 5}. Give prob of picking 2 j. 5/39 Two letters picked without replacement from {f: 2, j: 2, u: 2, g: 2, n: 4}. What is prob of picking 1 f and 1 u? 2/33 Three letters picked without replacement from kkkkkwkkkwkwkkkwkkk. What is prob of picking 2 k and 1 w? 140/323 Three letters picked without replacement from {u: 2, o: 3, m: 7}. Give prob of picking 1 u and 2 o. 3/110 Calculate prob of picking 1 k, 1 u, and 1 r when three letters picked without replacement from kvcpprpuvurppvvvppku. 1/95 Two letters picked without replacement from {c: 1, t: 12, d: 7}. Give prob of picking 1 c and 1 d. 7/190 Calculate prob of picking 1 i and 2 y when three letters picked without replacement from {n: 3, q: 1, y: 3, i: 4}. 4/55 What is prob of picking 2 c and 2 f when four letters picked without replacement from fffffcfcffff? 1/11 Three letters picked without replacement from ppeppppppeppp. Give prob of picking 3 p. 15/26 Two letters picked without replacement from {q: 8, y: 2}. What is prob of picking 2 q? 28/45 Three letters picked without replacement from {u: 1, q: 1, b: 2, h: 3, w: 1, j: 3}. Give prob of picking 2 h and 1 q. 1/55 What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, g: 2, q: 1}? 1/6 Three letters picked without replacement from {c: 7, q: 2, l: 2}. Give prob of picking 1 q and 2 c. 14/55 What is prob of picking 1 p, 1 t, and 1 y when three letters picked without replacement from uytpptttt? 5/42 Four letters picked without replacement from {r: 1, n: 1, e: 2, i: 1, o: 2}. What is prob of picking 2 e, 1 o, and 1 n? 2/35 Four letters picked without replacement from {v: 2, m: 2, e: 4, i: 1, l: 2, k: 1}. Give prob of picking 2 l and 2 e. 2/165 What is prob of picking 1 g and 1 j when two letters picked without replacement from grngjgccgrrnjcg? 2/21 Three letters picked without replacement from {b: 13, o: 5}. Give prob of picking 2 b and 1 o. 65/136 What is prob of picking 3 s when three letters picked without replacement from dssssssdss? 7/15 Two letters picked without replacement from ppkkkkpk. What is prob of picking 2 k? 5/14 Two letters picked without replacement from {c: 4, f: 3, l: 2}. Give prob of picking 2 l. 1/36 Two letters picked without replacement from {v: 1, s: 2, g: 1, e: 8, d: 6}. What is prob of picking 1 v and 1 g? 1/153 What is prob of picking 3 v and 1 b when four letters picked without replacement from vbvvsvqvvbvbbs? 20/143 Calculate prob of picking 1 w and 1 e when two letters picked without replacement from bweeebebeebew. 7/39 Four letters picked without replacement from {o: 4, y: 6, b: 1, u: 1, c: 3}. Give prob of picking 2 u and 2 b. 0 Three letters picked without replacement from iffufif. What is prob of picking 3 f? 4/35 Four letters picked without replacement from puixukxupuuuuxuukuu. What is prob of picking 2 u and 2 p? 55/3876 What is prob of picking 3 b and 1 g when four letters picked without replacement from ggbbbgberoe? 2/55 Four letters picked without replacement from {x: 10, k: 4}. What is prob of picking 4 x? 30/143 Calculate prob of picking 1 f, 2 x, and 1 i when four letters picked without replacement from ififxfiiffixfiif. 7/260 Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 4, k: 3}. 4/7 What is prob of picking 1 a and 2 o when three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
- 16. Give -5*b(t) + 7*z(t). 460*t**2 + 2*t + 3 Let y(x) = 1. Let f be 18717/357 - (-8)/14. Suppose -b + f = 51. Let a(i) = -i**3 + 11*i - 2. Give b*y(c) + a(c). -c**3 + 11*c Let v(z) = -17*z**2 - 29*z - 544. Let i(d) = 19*d**2 + 32*d + 542. Determine -10*i(p) - 11*v(p). -3*p**2 - p + 564 Let y be (-3 + 0 + 4)/(((-6)/3)/6). Let i(p) = -5*p**2 + 2*p - 5. Let n(k) = -4*k**2 + k - 5. Calculate y*n(r) + 2*i(r). 2*r**2 + r + 5 Let k(l) = -55*l**3 - 7*l**2 + 5*l - 7. Let r(q) = 28*q**3 + 3*q**2 - 2*q + 3. Suppose -2*p + 7*y = -8, -2*p - 139 + 129 = 2*y. Give p*k(v) - 7*r(v). -31*v**3 - v Let l be (-10 - -10) + 9/27. Let g(s) be the first derivative of -5 - l*s**3 + s - 1/2*s**2. Let t(y) = -4*y**2 - 3*y. What is 3*g(r) - t(r)? r**2 + 3 Let j(n) = -42. Let m(c) = -59. Let o(w) = -7*j(w) + 5*m(w). Let r(x) = -x + 2. Calculate 4*o(f) + 3*r(f). -3*f + 2 Let u(f) = 3*f - 7. Let s(a) = -733*a - 730*a + 1467*a - 10. Calculate -5*s(v) + 7*u(v). v + 1 Let t(g) = -g**3 - 3*g**2 + 2*g. Let n(v) = 208*v**3 + 1014*v**2 - 676*v. Calculate -3*n(l) - 1014*t(l). 390*l**3 Let h(o) = 2*o**2 + 6*o - 3. Let p(d) = -d**2 - 7*d + 2. Determine 14*h(i) + 15*p(i). 13*i**2 - 21*i - 12 Let n(z) = z**2 + 3*z. Let s(q) = -3*q**2 - 55*q + 2. Calculate 4*n(d) + s(d). d**2 - 43*d + 2 Suppose 4*x + j = 18, -x + 3*j - 41 = -52. Let m(d) = -4*d - 12. Let h(a) = a + 1. Let p(c) = 5*h(c) + m(c). Let v(o) = o - 10. Give x*v(i) - 7*p(i). -2*i - 1 Let p(c) = 4*c**2 + 4*c + 5. Suppose -6*a = -2*a + 5*y - 35, -y - 1 = 0. Let r(l) = -l**2 - l - 1. Determine a*r(f) + 2*p(f). -2*f**2 - 2*f Let v(t) = -8. Suppose 4*p = 7*p - 204. Suppose -p = d - 24. Let f(h) = 1. Let g(x) = d*f(x) - 6*v(x). Let o(b) = -b + 3. What is 3*g(u) - 4*o(u)? 4*u Let a = -14204 - -14205. Let n(d) = d - 1. Let q(l) = -55*l**2 - 3*l + 3. Determine a*q(y) + 3*n(y). -55*y**2 Let k(l) = 3*l**2 + 171*l + 8. Let d(n) = 8*n**2 + 344*n + 20. Determine -2*d(g) + 5*k(g). -g**2 + 167*g Let t(y) be the second derivative of 20 + 2*y + 1/2*y**2 + 2/3*y**3. Let i(h) = -h - 1. Let k be 1/((-1*2)/2). Calculate k*t(n) - 3*i(n). -n + 2 Let s(m) = -189*m**2 + 4. Let n(o) = 62920*o**2 - 1331. Give -4*n(c) - 1331*s(c). -121*c**2 Let k(y) = 218*y + 135. Let j(i) = -194*i - 134. What is -9*j(s) - 8*k(s)? 2*s + 126 Let p(d) = 59*d - 8. Let f(l) = 39*l - 5. Suppose 2 = -2*q - 2*g, -2*q - 79 = 5*g - 89. Give q*p(j) + 8*f(j). 17*j Let c(l) = l**2 + l. Suppose 1 - 17 = -2*v. Suppose 0 = v*h - 4*h - 4. Let a(u) = -1 + 24*u - 87*u - 4*u**2 + 22*u + 39*u. Give h*a(f) + 5*c(f). f**2 + 3*f - 1 Let k(z) = -3*z + 3. Let x = -24413 - -24409. Let d(f) = 3*f - 3. Give x*d(h) - 5*k(h). 3*h - 3 Let f(u) = 15*u**3 - 2*u. Suppose -2*o = -152*h + 153*h - 8, 2 = o. Let l(d) = 46*d**3 - 7*d. Determine h*l(x) - 14*f(x). -26*x**3 Let c(k) = k**3 + 6*k**2 + 1. Let l(p) = -3*p**3 - 12*p**2 - 2*p + 120. What is -2*c(n) - l(n)? n**3 + 2*n - 122 Let o(q) = q**2 - 4*q - 4. Let x(t) = 4*t**2 + 17*t + 31. Calculate -5*o(c) - x(c). -9*c**2 + 3*c - 11 Let r(g) = 3*g - 5. Let x(i) = -1. Let w(a) = -5. Let o(q) = w(q) - 4*x(q). Suppose 42 - 12 = 5*c. Suppose 0 = 10*j - 4*j - c. Give j*r(k) - 5*o(k). 3*k Let s(h) = -h**3 - h**2 + h - 1. Let p(g) = 2*g**3 + 3*g**2 - 11*g + 3. Let d = -3164 + 3162. Calculate d*p(q) - 6*s(q). 2*q**3 + 16*q Let a(q) = -6*q**2 - 110*q - 5. Let v(z) = -14*z**2 - 219*z - 13. Give 5*a(d) - 2*v(d). -2*d**2 - 112*d + 1 Let h(u) = 398*u + 1 - 397*u - 1. Let y(g) = 2*g**2 - g. Calculate h(q) + y(q). 2*q**2 Let s(h) = 4*h**2 + 15*h - 5. Let g(o) = 2*o**3 + 128*o**2 + 585*o - 294. Let y be g(-59). Let d(l) = -l**2 - l + 1. Give y*s(w) + 6*d(w). -2*w**2 + 9*w + 1 Let c(t) = -5462 - 5468 - 22*t + 16388 - 5463. Let w(d) = -221*d - 51. What is -51*c(l) + 5*w(l)? 17*l Let a(h) = -11783*h**2 + 4*h - 8. Let i(f) = 97197966*f**2 - 32998*f + 65996. Give 16499*a(d) + 2*i(d). -11785*d**2 Let b(u) = 2*u + 113. Let l(i) = -14. Let n(t) = -b(t) - 8*l(t). Let q(r) = -5*r - 3. Let y be 1*10 - (-1 + 3). Determine y*n(d) - 3*q(d). -d + 1 Let i(n) = -4*n + 4. Suppose -936 = -252*a + 356*a. Let w(q) = 17*q - 17. Give a*i(d) - 2*w(d). 2*d - 2 Let d(v) = -73*v**3 + 8*v**2 - 18*v - 3. Let u(b) = -55*b**3 + 5*b**2 - 14*b - 2. Give -7*d(t) + 9*u(t). 16*t**3 - 11*t**2 + 3 Let f(w) = -11410*w**3 + 9*w**2 + 78*w. Let d(x) = -5705*x**3 + 4*x**2 + 36*x. Give -13*d(o) + 6*f(o). 5705*o**3 + 2*o**2 Let f(i) = 10*i**3 + 30*i**2 - 22*i + 3. Let s(d) = -9*d**3 - 28*d**2 + 18*d - 2. Calculate 2*f(r) + 3*s(r). -7*r**3 - 24*r**2 + 10*r Let p(v) be the second derivative of -v**3/3 + v**2 - 7*v - 9. Let k(q) = q - 3. Give 4*k(g) + 6*p(g). -8*g Let i(t) = -139*t + 24. Let y(q) = -142*q + 21. Determine -5*i(f) + 6*y(f). -157*f + 6 Let c(d) = d**2 + 207*d - 3. Let f(w) = 3*w**2 + 618*w - 10. Determine 10*c(o) - 3*f(o). o**2 + 216*o Let a(t) = -9301*t**2 + 497*t - 497. Let c(w) = -75*w**2 + 4*w - 4. Let z(s) = s**3 - 26*s**2 + 181*s - 160. Let d be z(13). What is d*a(y) + 497*c(y)? -71*y**2 Let h(o) = o**3 + 10*o**2 - 90*o - 45. Let g(s) = 3*s**2 - 27*s - 14. Let i(l) = 10*g(l) - 3*h(l). Let v(b) = -3*b**3 - 6. What is -3*i(n) + 2*v(n)? 3*n**3 + 3 Let d(h) be the third derivative of -h**5/30 + 11*h**4/24 - h**3/6 + 2460*h**2. Let s(o) = -o**3 + o**2 - o - 1. Give -d(u) - 2*s(u). 2*u**3 - 9*u + 3 Let v(t) = t**3 - t**2 - 1. Let n = -26 - -30. Let o(c) = -3*c**2 - 4*c**2 + 6*c**2 + c**3 - 3*c**3 - 3*c**2 - 4. Give n*v(d) - o(d). 6*d**3 Let m(v) = 13*v**2 + 29*v + 15. Let o(g) = 7*g**2 + 15*g + 6. What is 3*m(x) - 5*o(x)? 4*x**2 + 12*x + 15 Let m(r) = 5*r. Let b(i) be the third derivative of i**4/24 - 3*i**2. Let d = 32 + -33. Let h(z) = z**2 - 33*z - 32. Let q be h(34). Determine d*m(k) + q*b(k). -3*k Let f(r) = -9*r - 2. Let s(n) be the first derivative of -63*n**2/2 - 15*n + 949. What is -15*f(u) + 2*s(u)? 9*u Let n(l) be the second derivative of -5*l**4/6 + l**3 + 1285*l. Let f(j) = -j**2 + j. Determine 6*f(r) - n(r). 4*r**2 Let r(v) = -2*v**3 + v - 1. Let f(n) = -7*n**3 + 45*n**2 + 4*n + 64. Determine f(h) - 4*r(h). h**3 + 45*h**2 + 68 Let n(x) = -2*x + 7*x - 2 - 2*x. Suppose -19 = 18*o - v, v - 11 + 5 = 5*o. Let q(p) = -p + 1. Determine o*n(u) - 2*q(u). -u Let b(q) = 20293*q - 2. Let a(o) = 617515993*o - 60861. Determine 2*a(h) - 60861*b(h). -20287*h Let m be (19/(-76) + (-7)/4)*-4. Let i(c) = m*c - 11*c + 9*c - 9*c + 2. Let w(o) = o + 1. Let s be (1 - 4/2) + 2. What is s*i(j) + w(j)? -2*j + 3 Let v(k) = -22*k + 1489. Let o(c) = -60*c + 4464. Give 4*o(b) - 11*v(b). 2*b + 1477 Let k(a) = 5*a**3 - 3*a**2 + 3*a - 19. Let l(s) = -14*s**3 + 8*s**2 - 8*s + 58. Let t be 9360/1548 + (-8)/172 - 2*-1. What is t*k(j) + 3*l(j)? -2*j**3 + 22 Let p(r) = -885*r**3 - 135*r**2 + 135*r. Let k(x) be the third derivative of -13*x**6/60 - x**5/15 + x**4/6 - 1922*x**2. Give 135*k(m) - 4*p(m). 30*m**3 Let i = -5037 + 5034. Let t(d) = -31*d**3 + 3*d**2 - 3*d + 3. Let s(a) = -187*a**3 + 17*a**2 - 17*a + 17. What is i*s(x) + 17*t(x)? 34*x**3 Suppose 156*c - 184 = 202*c. Let h(k) = 26*k - 5. Let l(g) = -25*g + 4. Give c*l(q) - 3*h(q). 22*q - 1 Let c(o) = 25*o**3 + 5*o - 5. Let q(n) = -46*n - 260. Let j be q(-6). Let g(h) = -76*h**3 - 16*h + 16. Determine j*c(p) + 5*g(p). 20*p**3 Let c(i) = -2*i**3 - 143*i**2 + 22*i - 14. Let v(f) = f**3 + 95*f**2 - 14*f + 9. Calculate 5*c(b) + 8*v(b). -2*b**3 + 45*b**2 - 2*b + 2 Let v(i) = 11*i**2 - 4*i + 1. Let g(t) = -37*t**2 + 10*t + 2. Calculate -g(w) - 3*v(w). 4*w**2 + 2*w - 5 Let s(n) = -14*n**3 - 16*n**2 - 5*n - 4. Let t(m) = 17*m**3 + 15*m**2 + 7*m + 5. Determine 6*s(h) + 5*t(h). h**3 - 21*h**2 + 5*h + 1 Let h(l) = 39303*l + 794. Let a(s) = -397*s - 8. Calculate 794*a(z) + 8*h(z). -794*z Let i(a) = 3213*a - 5*a**3 - 3210*a + 4*a**2 - 103 + 106. Let b(y) = 3*y**3 - 2*y**2 - 2*y - 1. Calculate 7*b(f) + 4*i(f). f**3 + 2*f**2 - 2*f + 5 Let m be (-4)/(4/3)*60/(-45). Let a(w) = -6*w**3 + 11*w**2 - 4*w - 6. Suppose 0 = 5*h + 28 + 27. Let l(q) = -2*q**3 + 4*q**2 - q - 2. Calculate h*l(c) + m*a(c). -2*c**3 - 5*c - 2 Let a be 650/38 + (-16 - 906/(-57)). Let j(p) = -43*p + 4. Let s(g) = 128*g - 11. Give a*j(q) + 6*s(q). 37*q + 2 Suppose 6*m - 4*m = -w + 23, 0 = w - 2*m - 35. Let h(t) = -2 + 1 + 30*t - w*t. Let z(r) = -r**2 + 2*r - 2. Determine -5*h(d) + 2*z(d). -2*d**2 - d + 1 Let o(w) = 208*w
{ "pile_set_name": "DM Mathematics" }
. Let r be d(a). Suppose -h + 2*h = 3*u + 1042, 4*u - r = -3*h. Is h composite? True Suppose 0 = p - 88*c + 92*c + 37288, -c = 4*p + 149212. Let d = p + 53031. Is d a prime number? True Suppose v - 35 = 5*j, -v - 3*v = 5*j - 65. Is 2/v - (-1291815)/350 prime? True Let z(r) = -815*r - 1619. Is z(-116) a composite number? False Suppose -2*n = 0, 3 = m + 11*n - 6*n. Suppose m*t - 12 = 0, r = 3*r + 2*t - 24. Suppose 12109 = r*b - 9259. Is b prime? True Let d(l) be the third derivative of 0*l + 17/60*l**5 + 2/3*l**3 + 0 - 1/12*l**4 + 39*l**2. Is d(5) prime? True Is (-1 - 5)/(35/((-4973045)/(-568326)) + -4) prime? False Let c(y) = -5*y**2 + 86*y - 22. Let o(u) = 6*u**2 - 87*u + 24. Let n(f) = 5*c(f) + 4*o(f). Is n(35) composite? True Suppose 206743 = 3*i + 4*t, 1946*i - 275624 = 1942*i + 3*t. Is i a composite number? False Let h(a) = -10406*a + 125. Is h(-11) a prime number? False Suppose -1293 = -3*w + n, 5*n - 1287 = -3*w + 4*n. Suppose v = 6*h - 2*h + 86, 5*v - w = 4*h. Is v prime? False Suppose -36*s + 4 = -34*s, 0 = 3*q - 5*s - 784163. Is q composite? True Suppose 3*u = 2*w + 18, u + w - 4*w - 13 = 0. Let i be 16/(-56) - 23/(-7). Suppose 4*k - 292 = -v, i*k - 319 = u*v - 81. Is k a prime number? False Let x be ((-30)/(-4))/(48/32). Suppose -18*r + x*r = -61165. Is r a composite number? True Suppose -5*m + 41 = -2*u, -3*m - 2*u - 2*u + 9 = 0. Suppose -2*g - 4*h = -m*h - 13, h - 3 = 0. Let j = g + 10. Is j composite? True Let j = 105 + -104. Let p be (0 - (6 - j))/(7/(-5131)). Suppose -12*b - p = -17*b. Is b prime? True Suppose -102 = -9*m - 264. Is (-3803 + 1)/(-20 - m) composite? False Suppose -183004 = -5*c + 148*w - 149*w, -2*w - 109805 = -3*c. Is c a composite number? True Let n = 47 - 43. Suppose -3*z + z - 3*f = -3001, 4*z + 4*f - 6004 = 0. Suppose 0 = 2*j + n*d - z, -2*d + 450 = -3*j + 2711. Is j a composite number? True Suppose -2*p = -12*p - 100. Let u = -8 - p. Is ((-15)/9)/(u/(-1266)) a prime number? False Let w = -251 + 251. Suppose -4*z + 4*o + 10336 = w, 8*z - 6*z - 3*o - 5173 = 0. Is z a prime number? True Let z(i) = -i**3 - 6*i**2 - 6*i - 8. Let n be z(-7). Suppose -2*c - 109 - n = 4*h, h + 51 = c. Is ((-38)/4)/(h/(-14) + -4) prime? True Let q = 2082 - 1377. Let h = -65 - -64. Is q/12 + h/(-4) a composite number? False Suppose 5*l - 2*f - 27941 = 0, 4*f - 5575 = -3*l + 2*l. Let y = l - -5470. Is y a prime number? True Suppose 26*t + 1653284 = 3896746. Is t a prime number? True Is -3*5/12*-98836 composite? True Suppose 12*f = 244114 + 208010. Suppose -95*v = -76*v - f. Is v composite? True Let z be 32/40 + (64/(-10))/(-2). Let f(c) = -c**3 + 4*c**2 + 3*c + 3. Let v be f(-8). Suppose v + 425 = z*q. Is q composite? False Suppose -3 = -y, -2*c + 2*y - 32339 + 197895 = 0. Is c a composite number? False Let w = -5635 + 6767. Let v be 1680 - -2 - -1*1. Let o = v - w. Is o a prime number? False Let f(b) = -b**3 + 35*b**2 + 54*b + 11. Let t(p) = p + 49. Let l be t(-14). Is f(l) prime? True Suppose 5619060 + 18041321 = 135*u - 6846514. Is u prime? True Let k be -5826*(-3)/(11 - 5)*-1. Let u = 5086 + k. Is u prime? False Let x = 1143174 - 260716. Is x a composite number? True Suppose -3*k - 2083 = w, -2*w + k - 4190 = -k. Let c = -782 - w. Let v = c - 821. Is v a prime number? False Let y(q) be the second derivative of 407*q**5/20 + q**4/12 + q**3/6 - q**2/2 + 3*q + 8. Is y(2) composite? True Let l(p) = 30*p**2 + 78*p + 13. Let v be l(12). Let m = v + -2748. Is m a prime number? True Suppose 44*s = 11*s - 517 - 275. Let k(c) = -8*c + 1. Let y be k(-3). Let x = y - s. Is x prime? False Suppose -2*x - 13*f = -17*f - 305998, 458997 = 3*x + 2*f. Suppose -29*d + x = -22*d. Is d composite? True Let t be ((-4)/6*1)/(106/(-2703)). Suppose -3*w = i - 15, -2*i + 17 = 4*w - t. Suppose 2*l - i = 953. Is l a composite number? False Let v = 40 + -38. Suppose 10 = v*y + 3*y. Suppose -4*q = -2*q - h - 414, y*q - 4*h - 426 = 0. Is q a composite number? True Let k(u) = u**3 + 7*u**2 + 9*u. Let g be k(-5). Suppose -4*q + 44 = 2*y + y, y + g*q - 33 = 0. Let f(i) = 3*i**2 - 12*i + 1. Is f(y) a composite number? False Is (194/14)/(199/59899) a composite number? True Let x be ((-6)/7)/(119/(-49) - -2). Suppose -3*g = -x*m - 25249, -3*m + 13593 + 3218 = 2*g. Is g a composite number? True Let r(u) = -150*u**2 + 12. Let p be r(-5). Is (-4 + 7 + -4)*(p - -1) a prime number? False Is (28/12 + -3)/((-2)/3600183) a composite number? False Suppose 12*s + 416757 = 15*s - 644664. Is s a composite number? False Let h be 183/(0 - 12/(-8)). Suppose 2*u - f + 48 = 472, 3*u - 647 = -4*f. Let o = h + u. Is o a prime number? False Let m be 18/4*24/8*-894. Let n = m - -20968. Is n a prime number? False Suppose 9*k - 27 = -0*k. Is (k - 5) + (-4971)/(-1) composite? False Let d(n) = 188*n + 59. Let x = -17 - -23. Is d(x) a composite number? False Let p be (-4)/(-6) + 2104*91/156. Suppose -3021 = -5*b + 934. Suppose -b = -3*c + p. Is c a prime number? True Suppose -n = -5*o - 43, 0 = -0*n - 4*n - 5*o + 72. Suppose 58076 + 1011 = n*f. Is f a composite number? True Let g be 32/(-176) - ((-93)/(-33) + 0). Is g*(3 - (-6 - (-57684)/18)) prime? True Let b be (-3 - 48/(-15))*0. Suppose b = -16*a + a + 167655. Is a a prime number? True Let h(a) = -3470*a - 287. Is h(-8) a composite number? True Suppose -4*v + 10 = -38. Suppose 3*u + u = -v. Let r(t) = -14*t + 7. Is r(u) a prime number? False Let u(l) = l**2 + 3*l + 5. Let a be u(-2). Suppose n - 12 = -4*g, -a*n = 4*g + 2*n - 12. Suppose -g*j + 715 + 956 = 0. Is j a composite number? False Let t(d) be the third derivative of 19*d**6/120 - 13*d**4/24 + 17*d**3/6 + 47*d**2. Is t(7) a prime number? False Suppose 4*g + 0*i = i - 854, 2*i + 422 = -2*g. Let w be 2/8 - g/(-4). Let b = -34 - w. Is b composite? False Let l = 58 + -53. Suppose -l - 5 = -5*m, -3*m + 6426 = -2*a. Let r = a - -5389. Is r a prime number? True Let v(y) = 2*y**2 + 14*y - 161. Is v(-27) a composite number? False Let z = 310 - 304. Is -2 + z + (5 - 111488)/(-9) a prime number? True Is (-2306803)/(-186) + 7 + ((-1)/6 - 0) composite? False Let t = -282124 - -453301. Is t prime? False Let y = 27 + -21. Let g(o) = 6 + 5 - y - o + 2*o**2 - o**2. Is g(-5) prime? False Let v = -654 - -683. Suppose v*s - 53790 = -s. Is s a prime number? False Let w be (33 + -30)*(1 - (1 + -1)). Suppose -w*o - 6231 = -4*h - 2*o, -o = -2*h + 3117. Let b = -1078 + h. Is b a composite number? False Is (113 + -110)/((-9)/(-128433)) a prime number? False Suppose 56*p - 61*p + 327477 = 3*k, 3*k + 3*p = 327471. Is k composite? True Let q = 6348 + 78483. Is q a prime number? False Let u = 71426 + -12607. Is u a prime number? False Is (3433056/(-1408))/(6/(-184)) prime? False Let a(x) = x**2 - x - 1. Let h be a(-2). Suppose g = 6*g + 2*u - 66, h*g - u = 57. Is (452/6)/(8/g) a composite number? False Let b(l) = 158*l - 12. Let o be b(-3). Let i = o + 1400. Suppose -i = -13*g - 43. Is g a composite number? False Suppose -5*c + 5*u = -99657 - 139263, -3*c + 143359 = -4*u. Is c prime? True Let t = 473364 + -249317. Is t composite? False Suppose 41 - 13 = 7*l. Suppose -2*s + 2*q = -9668, q + q = l*s - 19326. Is s a prime number? False Let l(x) = 330*x**2 + 3*x - 6. Let j be l(2). Is 0 + 5 + -6 + j composite? False Let u = 24543 + 55478. Is u composite? False Suppose -167463 = -2*j - 2*j - 5*q, 0 = j + q - 41866. Is j a composite number? True Let q = -790 + 1334. Suppose -z - q = 3*z. Let x = 165 - z. Is x prime? False Let f(z) = -74*z**2 + 4*z - 5. Let g be f(5). Let v be ((-1105047)/796)/(3/(-8)). Let k = g + v. Is k composite? False Suppose 1590622 = 4*f + 2*q, 2*f + 1331*q = 1335*q + 795306. Is f prime? False Let w(j) = -4*j + 17. Let v be w(-5). Let y = v + -12. Is 894/(-5)*y/30*-3 a prime number? False Let d = 19 - 16. Let b(f) = 128*f**2 + 0 - 3*f + 5 - d + 0. Is b(1) composite? False Suppose 0 = -22*o - 312*o + 192129460 + 107280498. Is o a composite number? True Let m(k) = k**3 - 3*k**2 - 7*k + 11. Let o be m(4). Is (o - -2) + 1518 + (-5 - -9) a composite number? False Let v be (21065/(-44))/((-4)/(-110 - 2)). Let y = v - -20438. Is y prime? False Let t = 320440 - -42751. Is t a composite number? True Let w = 89134 + -43773. Is w a composite number? False Is ((-12)/(-20))/(162/298183410) composite? True
{ "pile_set_name": "DM Mathematics" }
Calculate the least common multiple of 80 and 680. 1360 What is the lowest common multiple of 192852 and 449988? 1349964 Calculate the common denominator of 48/19 and -40/5187. 5187 Calculate the smallest common multiple of 869 and 151. 131219 Calculate the smallest common multiple of 228 and 648. 12312 What is the least common multiple of 188 and 1608? 75576 What is the smallest common multiple of 60228 and 34? 1023876 What is the common denominator of 59/49 and -59/676144? 4733008 Calculate the smallest common multiple of 4190 and 7. 29330 Calculate the smallest common multiple of 35 and 9121. 45605 What is the common denominator of -109/6960 and 101/35496? 354960 What is the lowest common multiple of 12 and 21942? 43884 Calculate the smallest common multiple of 120780 and 40260. 120780 What is the lowest common multiple of 507312 and 394576? 3551184 Find the common denominator of 61/8992 and 13/47208. 188832 What is the lowest common multiple of 35 and 10840? 75880 What is the smallest common multiple of 11826 and 414? 271998 Find the common denominator of -46/194157 and 61/1215. 970785 What is the lowest common multiple of 3948 and 15228? 106596 Calculate the common denominator of -109/2772 and -127/18. 2772 Calculate the smallest common multiple of 27824 and 139120. 139120 What is the common denominator of -13/20 and -85/4282? 42820 What is the lowest common multiple of 6327 and 10545? 31635 Find the common denominator of 20/36201 and 145/289608. 289608 What is the common denominator of -145/1026 and 49/135? 5130 Calculate the least common multiple of 19188 and 6. 19188 Calculate the lowest common multiple of 121347 and 81. 1092123 Calculate the common denominator of -41 and 2/159023. 159023 Calculate the common denominator of -7/2405 and -31/12987. 64935 What is the common denominator of -101/64 and 77/2? 64 Find the common denominator of 19/630 and -151/8330. 74970 What is the lowest common multiple of 30620 and 27558? 275580 Find the common denominator of 19/15 and -41/101186. 1517790 Calculate the common denominator of 67/60669 and -97/53928. 485352 Find the common denominator of 45/234088 and -29/80720. 2340880 Find the common denominator of 37/187430 and 17/40. 749720 Calculate the common denominator of -41/2818 and 47/1272. 1792248 Find the common denominator of 167/42 and -7/34038. 238266 What is the smallest common multiple of 14160 and 240? 14160 Calculate the smallest common multiple of 9583 and 15540. 574980 What is the smallest common multiple of 33 and 236277? 2599047 Calculate the smallest common multiple of 1216494 and 39127. 13381434 What is the lowest common multiple of 125454 and 143376? 1003632 What is the smallest common multiple of 560 and 19390? 155120 Calculate the smallest common multiple of 105 and 6865. 144165 Find the common denominator of 73/100880 and 43/364. 706160 What is the least common multiple of 6610 and 215486? 1077430 Calculate the common denominator of -3/3337 and 26/141. 10011 Calculate the least common multiple of 6 and 22408. 67224 What is the smallest common multiple of 17289 and 72? 138312 Calculate the lowest common multiple of 63116 and 8653. 1072972 Find the common denominator of 7/160 and 101/16760. 67040 What is the lowest common multiple of 17449 and 244286? 244286 What is the lowest common multiple of 503987 and 45817? 503987 What is the common denominator of -17/6584 and 11/34? 111928 Calculate the common denominator of -99/11368 and 13/27608. 193256 What is the common denominator of -145/3348 and 107/228? 63612 What is the smallest common multiple of 359 and 50619? 50619 Calculate the smallest common multiple of 6 and 211425. 422850 Calculate the smallest common multiple of 2073 and 27. 18657 What is the least common multiple of 39645 and 495? 436095 What is the common denominator of -5/208 and -103/976? 12688 Calculate the common denominator of -25/9512 and -47/290. 47560 Calculate the least common multiple of 50 and 7910. 39550 What is the smallest common multiple of 660 and 271986? 2719860 Calculate the least common multiple of 504873 and 138. 1009746 Find the common denominator of 97/232 and -107/320. 9280 Calculate the least common multiple of 582835 and 55. 582835 What is the common denominator of -1/8289 and -4/189? 58023 What is the common denominator of 79/1098 and 53/216? 13176 Calculate the common denominator of 6/21125 and -92/585. 190125 Find the common denominator of 19/14 and 19/13956. 97692 What is the least common multiple of 31152 and 1239? 218064 What is the smallest common multiple of 54 and 2244? 20196 Find the common denominator of 173/1890 and 19/119. 32130 Calculate the least common multiple of 2095 and 97627. 488135 What is the common denominator of 17/11049 and -25/381? 11049 Calculate the smallest common multiple of 27 and 6091884. 18275652 What is the common denominator of 65/162 and 103/15768? 47304 What is the lowest common multiple of 9675 and 63425? 570825 Calculate the smallest common multiple of 1340 and 372. 124620 Calculate the lowest common multiple of 78890 and 1400. 1577800 Find the common denominator of 37/5265 and -101/126. 73710 Calculate the common denominator of 17/55183 and -89/794. 110366 Calculate the least common multiple of 351824 and 287856. 3166416 Calculate the common denominator of 151/150 and 119/402. 10050 What is the lowest common multiple of 23010 and 7670? 23010 What is the lowest common multiple of 33810 and 3920? 270480 What is the common denominator of 43/3147112 and -111/257960? 15735560 What is the common denominator of -25/352 and 149/20592? 41184 Calculate the smallest common multiple of 30888 and 792. 30888 Calculate the common denominator of 25/394 and 7/4428. 872316 What is the least common multiple of 17625 and 24675? 123375 What is the common denominator of -83/12309 and 70/867? 3557301 What is the smallest common multiple of 102 and 9792? 9792 Find the common denominator of 29/20076 and 97/6692. 20076 Calculate the smallest common multiple of 11856 and 840. 414960 What is the common denominator of -131/139314 and 139/278628? 278628 Calculate the lowest common multiple of 3542 and 1058. 81466 Calculate the smallest common multiple of 6464 and 3232. 6464 Calculate the common denominator of -86/10275 and 28/45. 30825 Calculate the smallest common multiple of 630 and 55. 6930 Calculate the least common multiple of 10 and 21896. 109480 Calculate the common denominator of 139/862770 and 17/60. 1725540 Calculate the least common multiple of 292 and 2176. 158848 Calculate the lowest common multiple of 197638 and 35. 988190 What is the least common multiple of 108 and 1980? 5940 Calculate the lowest common multiple of 550 and 3498. 87450 Calculate the common denominator of -151/6594 and 74/9. 19782 Calculate the common denominator of -101/1792 and 81/70336. 281344 What is the least common multiple of 46124 and 416? 368992 Calculate the smallest common multiple of 1045 and 1520. 16720 Calculate the smallest common multiple of 149908 and 6. 449724 Calculate the least common multiple of 8 and 75458. 301832 Calculate the lowest common multiple of 1296 and 67392. 67392 What is the common denominator of -89/84 and -151/32058? 448812 What is the lowest common multiple of 36300 and 36? 108900 Find the common denominator of -115/392256 and 55/96. 392256 Calculate the lowest common multiple of 2 and 90815. 181630 Find the common denominator of -31/24 and -115/164688. 164688 Calculate the smallest common multiple of 12606 and 6876. 75636 Find the common denominator of -71/165 and -23/5553. 305415 What is the common denominator of 25/6 and -187/176790? 176790 Calculate the smallest common multiple of 45 and 5715. 5715 What is the common denominator of 11/17176 and -10/19323? 154584 What is the smallest common multiple of 32 and 992? 992 Find the common denominator of -54/16345 and -47/10. 32690 Find the common denominator of -31/31395 and 25/56. 251160 What is the least common multiple of 75740 and 245? 530180 What is the common denominator of -18/17 and 37/388? 6596 Calculate the common denominator of 155/20664 and -1/984. 20664 What is the least common multiple of 5100 and 80? 20400 Find the common denominator of -39/98 and 91/1
{ "pile_set_name": "DM Mathematics" }
Simplify 1 + ((sqrt(5) - sqrt(80))*5 - sqrt(270)/sqrt(6) - (sqrt(20) + sqrt(80)*3)/sqrt(4)) + 4. -25*sqrt(5) + 5 Simplify ((-1*sqrt(24))/sqrt(6) - (-2*sqrt(100) + sqrt(100) - sqrt(100)))/(6*(sqrt(242) + (-1*sqrt(242) + sqrt(242) + sqrt(242) - sqrt(242)))). 3*sqrt(2)/22 Simplify sqrt(20)/(sqrt(10)*1*-1 - sqrt(10)) + 4 - (-2*(0 + sqrt(72))*-5)**2. -7196 - sqrt(2)/2 Simplify ((-3*(sqrt(114) + sqrt(114)*2) - sqrt(114) - sqrt(114))*3)/(sqrt(36)/(sqrt(6) - -2*sqrt(726)))*-2. 1518*sqrt(19) Simplify ((sqrt(50) + sqrt(100)/(sqrt(8)/sqrt(4)) + sqrt(200)/(sqrt(4) - (sqrt(4) - sqrt(16))))**2 + 5)*-1. -635/2 Simplify ((sqrt(68) - (sqrt(68) - (1*(sqrt(68) - sqrt(68)*-1) + sqrt(68)))) + sqrt(68)*-1*2)/(sqrt(256)*-1*-1). sqrt(17)/8 Simplify (sqrt(216)*5 - sqrt(24))/(sqrt(48)/(sqrt(48)/sqrt(8))). 14*sqrt(3) Simplify (sqrt(405) - (sqrt(405) - (sqrt(405) - -1*sqrt(405))))**2 + (5 + sqrt(30)/sqrt(6))**2 + 0 + -1*1*sqrt(320). 2*sqrt(5) + 1650 Simplify (1*(1 + sqrt(245)) + -4 + 5)**2. 28*sqrt(5) + 249 Simplify (5 + sqrt(392))**2 + 2 + -1*sqrt(72). 134*sqrt(2) + 419 Simplify (-2*-3*(2*sqrt(162) - (sqrt(2) - (-4 + (sqrt(2) - sqrt(20)/sqrt(10))))))**2. -4896*sqrt(2) + 21384 Simplify -5 + (-3 + sqrt(1900) + 0 + sqrt(1900) - (((sqrt(228)*-1 - sqrt(228)) + sqrt(228))*2)/sqrt(12)) + -1. -9 + 22*sqrt(19) Simplify (5*-6*(-5 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + -1))) - 1*1*sqrt(2448))*-3)**2. 291600 Simplify (sqrt(56)*3)/(sqrt(2)*1*-2) + 5 + 3*(sqrt(7) + (3*(sqrt(7) + 1) - sqrt(7))). 14 + 6*sqrt(7) Simplify (5*sqrt(196)/sqrt(4))/(sqrt(28)*-1) - (-5 + sqrt(7) + (sqrt(175) - (sqrt(175) + sqrt(175)*-2 + sqrt(175))) + 5)**2. -252 - 5*sqrt(7)/2 Simplify (sqrt(20)/sqrt(160) + sqrt(2) + 3 + sqrt(6)/sqrt(3) + (-5*-3*sqrt(2)*3)**2)*-5. -20265 - 45*sqrt(2)/4 Simplify (4*1*sqrt(486))/(1*sqrt(21)/(sqrt(21)/sqrt(3))). 36*sqrt(2) Simplify (-3 + sqrt(320)*1 + (sqrt(270) + -2*sqrt(270))/sqrt(6))*-6. -30*sqrt(5) + 18 Simplify 1 + sqrt(75) + 3 - (((sqrt(75) + 3)*1 + sqrt(75))**2 + sqrt(75)). -305 - 60*sqrt(3) Simplify (-4*((2 + -1 + sqrt(147))*-3 + -4))**2. 4704*sqrt(3) + 21952 Simplify 6*(1 + 1*(-4*(sqrt(242)*-3)**2 + -3)). -52284 Simplify (-3*(-3 + sqrt(39)/sqrt(3)))**2 + (sqrt(39)/(sqrt(18)/sqrt(6)) + -1)**2. -56*sqrt(13) + 212 Simplify (3*sqrt(576)*2)/(sqrt(128) + 2*sqrt(128)*1) + -3. -3 + 3*sqrt(2) Simplify (3*sqrt(1088)*-1)**2 + sqrt(136)/(sqrt(8) + sqrt(56)/sqrt(28)). 2*sqrt(17)/3 + 9792 Simplify (2*sqrt(4840)*-4)/((sqrt(784)*1)/sqrt(2)). -88*sqrt(5)/7 Simplify (sqrt(385)/(5*sqrt(11)*-1))/((sqrt(20)/sqrt(4) + sqrt(5))*6 + (sqrt(50)/sqrt(2))/sqrt(5)). -sqrt(7)/65 Simplify 3*(5 + (sqrt(3) - (sqrt(27) + 4)**2)) + -2. -69*sqrt(3) - 116 Simplify (-6*sqrt(162)*1)/(sqrt(48)/(sqrt(32)/sqrt(4))). -18*sqrt(3) Simplify (sqrt(95) + sqrt(95)*-1*-5)/(1*sqrt(605)) + 2. 2 + 6*sqrt(19)/11 Simplify (1*(sqrt(204) + 1*sqrt(204)*3))/(2*sqrt(48)/(3*sqrt(4))). 6*sqrt(17) Simplify ((-2*sqrt(96))/sqrt(2) - (-3 + sqrt(72)/sqrt(6)))*5. -50*sqrt(3) + 15 Simplify (sqrt(77) + sqrt(77) + 4*((sqrt(77)*-2 - sqrt(77)) + sqrt(77)) - 2*sqrt(77)*4)/(4*(sqrt(847) - sqrt(847)*2) + sqrt(847) - sqrt(847)). 7*sqrt(11)/22 Simplify (1*sqrt(2160) + sqrt(15))/sqrt(5) - (((1*sqrt(300) - sqrt(300))*6)**2 + sqrt(300)). 3*sqrt(3) Simplify ((-3 + sqrt(72) + sqrt(2) - (sqrt(8) + -3)) + 3)**2. 30*sqrt(2) + 59 Simplify (-5 + 4 + sqrt(130)/(sqrt(10) + -4*sqrt(10)*1))**2 + 2. 2*sqrt(13)/3 + 40/9 Simplify 3 + sqrt(19) + -2 - (sqrt(76) - (sqrt(76) + (3*sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76))**2) - (sqrt(114)/sqrt(96) + sqrt(513)/sqrt(3)). -17*sqrt(19)/4 + 1901 Simplify (3*(sqrt(204) + 6*sqrt(204) + sqrt(204))/sqrt(12) + -5)*1. -5 + 24*sqrt(17) Simplify (4*(sqrt(1900) - (sqrt(1900) + 2 + sqrt(1900))))**2 + (0 + sqrt(2299) + sqrt(2299)*1)**2. 640*sqrt(19) + 39660 Simplify (-5*(0 + (3*sqrt(847) + 4 - -3*(sqrt(847) + -2))))**2. -6600*sqrt(7) + 762400 Simplify (sqrt(144) - (sqrt(144) - (sqrt(144)*4 - sqrt(144))))/(sqrt(200)*-2). -9*sqrt(2)/10 Simplify ((-4 + (sqrt(720) - (sqrt(720) - sqrt(720)*-1)))*-4 - (0 + sqrt(720))*-2*-3)**2. -768*sqrt(5) + 3136 Simplify (3*(sqrt(3328) - -3*3*sqrt(3328)))**2 + -3. 2995197 Simplify sqrt(32)/(sqrt(12)/sqrt(147) - sqrt(4)) + 0. -7*sqrt(2)/3 Simplify (-1*((sqrt(24) - sqrt(24)*-2)*5 - sqrt(24))/(sqrt(96)/(sqrt(48)/sqrt(4))))**2. 588 Simplify (sqrt(405)*2*-6 + (sqrt(405) + 1*sqrt(405))*1)**2 + 1 + (sqrt(405) + -4*(1 + sqrt(405)) - sqrt(405))**2. 288*sqrt(5) + 46997 Simplify -1*(sqrt(112) - (sqrt(112) + -1)**2*-6)*3. -2034 + 132*sqrt(7) Simplify -3*(-6*sqrt(297)*1)/(sqrt(11) - -6*sqrt(11)*2) + 4. 4 + 54*sqrt(3)/13 Simplify (sqrt(117) + sqrt(117)*2*-5)/((sqrt(90) + (sqrt(90)*4 - sqrt(90)))/sqrt(10)). -9*sqrt(13)/4 Simplify ((-4*sqrt(180))/sqrt(4)*4)/((sqrt(99) + sqrt(99) + -2*-2*sqrt(99))/sqrt(11)). -8*sqrt(5)/3 Simplify (-5*(-1*sqrt(13) + 3 + sqrt(13)) - (sqrt(832) + 1 - sqrt(13) - ((sqrt(13) + 1)*-1 - sqrt(13))))**2 + -3. 306*sqrt(13) + 1339 Simplify ((sqrt(130) - (sqrt(130) + 2*sqrt(130)*-1)) + 5*(sqrt(130) - sqrt(130)*1))/(-1*2*sqrt(1440)). -sqrt(13)/12 Simplify -6*(0 + (-3*sqrt(52)*-1 - -5*sqrt(2548))). -456*sqrt(13) Simplify sqrt(5) - (sqrt(5) - (sqrt(60)/sqrt(4))/sqrt(3)) - sqrt(10)/(sqrt(8)/sqrt(4)) - 4*(-3 + sqrt(5) + -1 + 0). -4*sqrt(5) + 16 Simplify (sqrt(144)/sqrt(3) + sqrt(12))/(sqrt(4) - 3*5*sqrt(4)). -3*sqrt(3)/14 Simplify ((sqrt(11) - sqrt(110)/sqrt(40))**2 - (sqrt(11)*2 + 5)) + 5 + sqrt(704). 11/4 + 6*sqrt(11) Simplify ((-3 + (sqrt(125) + -1*sqrt(125)*1 - (0 + sqrt(125) - sqrt(125))*4))*4)**2*1. 144 Simplify 1*sqrt(567) + 2 + (sqrt(567) - (sqrt(567) + -2 + sqrt(567))*1). 4 Simplify (sqrt(726) + (sqrt(726) + 2*sqrt(726))*-5)/(4*sqrt(12)/(sqrt(24)/sqrt(4))). -77*sqrt(3)/2 Simplify (-4 + sqrt(176) + 1 + sqrt(176) + sqrt(176) + (1 + sqrt(176) - sqrt(176))*-6)**2*3. -648*sqrt(11) + 4995 Simplify 5 + (-1 + (-6*sqrt(25)*-1)/(sqrt(15)/sqrt(3)*-6)*-2)**2. -4*sqrt(5) + 26 Simplify ((5*(sqrt(125) + -3*sqrt(125)))**2 - sqrt(125)*2*5)*4. -200*sqrt(5) + 50000 Simplify -5*(sqrt(832) + -2 + -2 + (sqrt(13)*2)**2 + -1 + sqrt(13) + (sqrt(208) + sqrt(13) - sqrt(13)) + -3). -65*sqrt(13) - 220 Simplify 3*((sqrt(684) + -2*(sqrt(684) + sqrt(684)*-2))*-5 - (-3 + 1*sqrt(684) - (-5 + sqrt(684) + 1 + sqrt(684) + sqrt(684)))). -234*sqrt(19) - 3 Simplify 0 + (6*sqrt(15)*3)/(sqrt(27)/(sqrt(9)*1)). 18*sqrt(5) Simplify (sqrt(90)/(sqrt(9)*1)*6)/(-5*(-1*sqrt(22))/sqrt(11)). 6*sqrt(5)/5 Simplify sqrt(15)/sqrt(5)*2*-5 + 3*(sqrt(3) - (sqrt(3)*2 + -1)) + 0. -13*sqrt(3) + 3 Simplify (-2*sqrt(560)*-4)/(sqrt(60)/(-6*sqrt(192) - sqrt(12))). -800*sqrt(7) Simplify (sqrt(208) + 1 + 4 + sqrt(208) + (4*1*sqrt(208))**2)*-6. -19998 - 48*sqrt(13) Simplify 2*sqrt(10)/sqrt(2) - (sqrt(45) - (0 + sqrt(45))) - (sqrt(180) - sqrt(5))**2*-6. 2*sqrt(5) + 750 Simplify -2 + ((sqrt(65) + sqrt(65)*1)*-6)/(sqrt(405)*-1). -2 + 4*sqrt(13)/3 Simplify ((sqrt(612) + ((sqrt(612) + -6*sqrt(612)*2)**2 - sqrt(612)))*5 + 3*(sqrt(612) - sqrt(612)*-1 - sqrt(612))*5)*-3. -1110780 - 270*sqrt(17) Simplify (sqrt(17) + -1*sqrt(17)*2)**2 - (sqrt(119)/(sqrt(21)/sqrt(3)))**2 - ((sqrt(17)*-1 + 0 - sqrt(17)) + -5)**2. -93 - 20*sqrt(17) Simplify (sqrt(15) + sqrt(75)/(sqrt(5)*-1) + sqrt(15) + sqrt(90)/sqrt(24))/(sqrt(363) + (sqrt(363) - (sqrt(363)*2 - sqrt(363)))*4 + sqrt(363)). 3*sqrt(5)/44 Simplify ((sqrt(88)*4)/sqrt(2)*4)/((sqrt(144)/sqrt(4) + sqrt(36))*2 - sqrt(36)). 16*sqrt(11)/9 Simplify 2*sqrt(5)*-1 + 3*(sqrt(5) + 1) - ((1*sqrt(5))**2*-2 + (6*(sqrt(5) + 0 + sqrt(5)))**2). -707 + sqrt(5) Simplify -6*(-6*(sqrt(684) + -1) + sqrt(684) + (sqrt(19) + sqrt(19) + 1 + 1 - (-3*(sqrt(38)/sqrt(2) - sqrt(19)) - sqrt(19))))**2. -83490 + 2592*sqrt(19) Simplify (sqrt(52) - sqrt(520)/sqrt(640))/(5*sqrt(16)). 7*sqrt(13)/80 Simplify (3*(sqrt(1620) + sqrt(1620) + 1) + sqrt(1620) + 1)**2. 1008*sqrt(5) + 79396 Simplify (((sqrt(1053) - (-1 + sqrt(1053)))*6 + sqrt(1053))**2 + 2 + (4*4*(0 + sqrt(1053)))**2)*-3. -811977 - 324*sqrt(13) Simplify (-1 + (sqrt(300) - (-3*(sqrt(300) + 1) + sqrt(300))) + 0)**2. 120*sqrt(3) + 2704 Simplify (5 + (sqrt(330)/sqrt(96))/(sqrt(180)*-4))**2. -5*sqrt(11)/48 + 230411/9216 Simplify ((sqrt(700) + 2)*6 - (-5*sqrt(7)*-1 - (sqrt(35)*1)/sqrt(5)))**2. 1344*sqrt(7) + 22096 Simplify -5*(sqrt(704) - (sqrt(704) + sqrt(704) + (-2*sqrt(704) + sqrt(704))*-6 + sqrt(704)))
{ "pile_set_name": "DM Mathematics" }
)*36/(-96)*(-4)/(-66). 1/22 What is the value of ((-1)/2)/((-27)/270)? 5 What is (2/20 - (-219)/(-365))*1*26? -13 What is the value of 11 + (-1728)/75 + 12? -1/25 1020/(-78) + 8 - 4/4*-5 -1/13 What is the value of ((-85)/(-20) + -4)/((-117)/(-234))? 1/2 What is the value of (-66)/(-10) - 624/390? 5 (-10)/70*-266 + -24 14 What is -14*4/(-16)*(-7 + (-1360)/(-196))? -3/14 What is ((-9)/(-69))/((-69)/(-4761))? 9 Calculate 2 + -154*(-2)/(-38) - (-108)/18. -2/19 283/1698 + (-34)/6 -11/2 12/(-80)*(-224)/588 2/35 What is 1610/(-210)*(-3)/(-5) + 3/5? -4 What is (-36)/45 + 1598/85? 18 Calculate (2375/700 + -4)*-7. 17/4 What is the value of -58 + 54 - (10 - 4)? -10 Calculate -21*(-37)/((-4403)/34). -6 Calculate (-5)/(5 - 10) + 1. 2 Calculate 188/(-44) + 13/((-1573)/(-33)). -4 Evaluate ((-168)/(-308) - (-49)/11) + -6*2. -7 Evaluate 36/(-168)*(-9)/648*14. 1/24 Evaluate (-4 + (1 - -9))*469/1407. 2 Calculate (-5 - (-28)/6)*(2 + (-48)/15). 2/5 What is the value of -10 - (-10 + 444/75)/(4/10)? 1/5 What is the value of ((-8)/3)/((-8)/(-24))? -8 What is the value of (-8)/(-13)*165/770*-7? -12/13 What is the value of (-3)/(-5 - (32/80)/(8/(-52)))? 5/4 Evaluate 24/(-54)*(1/(-4) + 0)*-1. -1/9 What is the value of (126/315)/((-2)/(-20)*22)? 2/11 Calculate (-14)/(-1120)*16*(1 + 114). 23 What is the value of (318/(-1378))/(4/13)? -3/4 -1 - (1 + -3) - (-45)/(-30) -1/2 1603/133 - 9/171 12 22 + -5 + 13 + -19 11 What is the value of (2/(-2))/(52/(-416))? 8 What is (2432/(-114) + 22)/(2/(18/3))? 2 (1 + (-5)/(-10))/(6/16) 4 What is (-1 - -2)*(-68 + 59)? -9 270/(-225)*(-40)/(-44)*(-2)/(-4) -6/11 What is (-2)/14*(-5446)/(-3501)? -2/9 -3 - (333/(-111))/((-3)/2 + 2) 3 What is 3/8 - (-2)/(-6)*(-3885)/(-2960)? -1/16 What is the value of (0 - 1)/(-11 + 5346/484)? -22 What is ((-24)/1120)/((-190)/3800)? 3/7 Calculate (34/5 + -7)*-40. 8 Calculate 57*22/132*((-3)/1 + 1). -19 What is the value of (42/(-2142))/(12/72)? -2/17 Calculate (6/18)/(((-17)/6)/(1/2)). -1/17 Evaluate (-12 - -24) + ((-326)/26 - -1). 6/13 What is the value of (-5)/(-425)*34 - 11/30? 1/30 (0 - (-3)/(-236))*31528/(-11823) 2/59 What is the value of -6*(56/6 + 16 + -26)? 4 Evaluate 3262/154 + -21 + ((-117)/(-264) - 1). -3/8 What is (59/2)/((-30)/24) - 147/(-245)? -23 What is (-8)/(-16) + 42/(-68) + (-1092)/(-5525)? 2/25 Evaluate (-84)/(-10)*((-18)/8 - 8/32). -21 What is the value of 173 + -178 + 16 + -1? 10 (-2730)/(-78) + -4 + -7 24 Evaluate ((-40)/(-6))/(9 - 275/33). 10 What is (-6)/(-540)*6 - 126/90? -4/3 What is the value of (-8)/(440/25 + -9 - (-6)/15)? -8/9 What is the value of 5*3 + -446 + 453? 22 Evaluate ((-412)/(-24) - (-16)/(-96)) + -27. -10 Evaluate (-10)/(-15 + 57/19). 5/6 What is (36/(-54))/(5 - 6 - 14/(-12))? -4 Calculate -2*(25 + -15 - 85/10). -3 (51 + 6)*(-1)/((-66)/6 - -5) 19/2 What is the value of 6/8*90/27*(-28)/(-595)? 2/17 What is (((-84)/(-336))/((-6)/(-32)))/(2/12)? 8 What is the value of 1 + 238/(-18) + (-484)/(-2178)? -12 (-1 - -14) + 29/(667/138) 19 Calculate -6 + -1 + 3310/(-662). -12 Calculate 8/98*1344/768. 1/7 Evaluate (135/108)/((7/140)/1). 25 Evaluate (1095/3504)/((-10)/84). -21/8 What is 1/((-24)/9) - (5 + 52/32)? -7 Evaluate (-24 + 12 + 7)/(-4 + 3). 5 What is (-5 - (-627)/135)/((-50)/125)? 8/9 Evaluate ((-56)/448)/(2/(-3)). 3/16 What is the value of 66/(-44)*(-20)/3*1/(-2)? -5 What is -11 - (-14 + (4 - -15))? -16 What is (12/(-10) + 2)*-14*(-40)/896? 1/2 Evaluate 4116/(-1050) + (0 - -4). 2/25 Evaluate 1/3*-3*(7 - -2). -9 Evaluate ((-609)/(-126) - 1)*6. 23 Calculate 18 + -11*(-1295)/(-770). -1/2 What is the value of (0 + (-98)/(-4))*(-114)/(-399)? 7 -28 + 22 + (-112)/(-20) -2/5 (-6)/(-114) + (-195)/95 -2 Evaluate 428/(-207045) + (-6)/135. -2/43 Calculate (3/(-30) + (-1770)/300)/(-2). 3 Evaluate 28 - ((-165)/(-11) + -19). 32 What is (8/68)/(1520/(-170) - -9)? 2 What is (20/(-6))/(170/(-136))? 8/3 What is (-64 - -65)/(2/(-8))? -4 Calculate (12/18)/((140/90)/((-12)/(-24))). 3/14 (-12)/(-24)*(-8)/44 -1/11 (123/(-369))/(8/(-52) - (-89)/663) 17 What is 19/(1235/(-468)) + (3 - -4)? -1/5 Evaluate ((-2)/4)/((-170)/(-15)*(-12)/32). 2/17 What is the value of ((-39)/(-14))/((-1602)/(-1869))? 13/4 10/2 - (-11)/(99/(-36)) 1 What is the value of -14 + (5 - 975/(-117))? -2/3 What is (252/(-7728))/((-54)/207)? 1/8 What is 8/(-12) + 992/1736? -2/21 What is the value of (-1482)/51 - (100 + -129)? -1/17 Calculate 3*((-3)/(-9)*0 + (-1)/51). -1/17 What is the value of 31/(-11) + (-30)/(-540)*54? 2/11 Calculate ((-35073)/(-2598))/(54/8). 2 (-26 + -57 + 70)/((0 - -2)/2) -13 Evaluate 16 - (-31)/((-4774)/2520). -4/11 What is (5/2)/(((-86)/(-215))/((-24)/(-25)))? 6 Evaluate 12 - ((-33 - -27) + -3). 21 What is (-314)/471 + (-111)/(-45)? 9/5 Evaluate ((2/(-4))/(-11 + 296/32))/2. 1/7 Calculate (2 + 45/(-20))/((-47)/(-94)). -1/2 Evaluate ((-80)/2720)/((-3)/(-6)). -1/17 Calculate 30 + 1371/(-45) - 4/(-6). 1/5 What is ((-96)/14)/(268/(-938))? 24 Calculate (-53)/((-20776)/(-180)) - 2/(-4). 2/49 Calculate (-8)/(-196)*(-581)/(-83). 2/7 What is the value of 2 - ((-710)/(-40) + -15)? -3/4 What is (1/(5 - 187/22))/(16/(-70))? 5/4 What is 48/(0 + -3) - (44 + -55)? -5 What is (-2 - 116/(-32)) + (2 - 4)? -3/8 Calculate -2 - (924/(-616))/(6/40). 8 Evaluate (-16)/8*(2/8 - 198/504). 2/7 What is 1015/(-522)*20/15*3/7? -10/9 1456/845 + (-5)/(25/9) -1/13 (-2)/(-6) - (-48)/(6192/1505) 12 Calculate (232/6409)/((-112)/(-728)). 4/17 What is the value of ((-9)/(-480))/((-21)/(-28))? 1/40 (0 + -12 + 10)/(5/15) -6 18/(-16) + 0 + -11 + (-267)/(-24) -1 Evaluate (-390)/(-75)*10/4. 13 25/(-10)*(-1)/(3/(-6)) -5 Calculate -7 + 8 + -2 + -2. -3 Calculate -31 + ((-13824)/408)/(-18) + (-4)/(-34). -29 Calculate (-8)/160*5 + 611/76 - 8. -4/19 Evaluate 4 + (21360/(-690) - -27). 1/23 What is the value of (-4)/80*-5 + 95/20? 5 Evaluate 19 + -7 - 42 - -34. 4 What is (0 + -29 - -9)*10/(-25) + -14? -6 (-3476)/(-158) - (-12 - -13) 21 What is (-16)/(-220)*-11 + 1? 1/5 What is the value of -1*3/(-4) + 16065/(-1836) + 34? 26 Evaluate 93/(-33) + (-31)/(3410/20). -3 What is the value of 2 + -20 + (-8229)/(-211)? 21 Evaluate ((-28)/63)/(-3 - -1). 2/9 What is 3/(-27) + 4/144? -1/12 Evaluate (21/(-49))/(1/(-10) + (-128)/(-80)). -2/7 4 + 8 + (33 - 26) 19 What is (6/155)/((-117)/195)? -2/31 What is 9120/(-1900)*(-2)/16 + (2 - 1)? 8/5 What is the value of ((-5315)/1063)/(5/(-1))? 1 Evaluate 12/(-1) + (-79 - (-10700)/120). -11/6 Calculate ((-1816)/(-4540))/(2/(-65)). -13 What is -1 - (1424/(-144) + 4 - (-2)/(-18))? 5 Calculate 15/(-10)*4/(-18) + 4982/(-3498). -12/11 3504/(-348) + ((-160)/145)/(-16) -10 Evaluate 17 + -1 + (14 + 675/(-50))*22. 27 Evaluate (-36)/(14/(-4)*172/301). 18 What is (-120)/(-170)*2550/200? 9 Evaluate (-7564)/(-610) + (-2)/5. 12 2/(-18) + (-17015)/48555 -6/13 Calculate (-3)/65 - 262/(-1310). 2/13 What is 56/(-448)*(-20)/3? 5/6 Evaluate 8/(40/(-225))*((-132)/55)/(-6). -18 What is the value of 26*((-1)/2)/((-66)/(-44) + -1)? -26 (-26)/(-156) + (88/816)/(-1) 1/17 What is ((-34)/4)/((106/848)/((-1)/(-4)))? -17 What is (6 - 0)/(9295/130 + -49)? 4/15 Calculate 20/((-612)/90 + 3 - 9/(-5)). -10 Evaluate ((-3)/(6 + -12))/((-10)/(-20)). 1 What is (-3)/24*((-2)/(-4))/(32/(-64))? 1/8 Calculate 3 + 368/(-40) + 2 - -5. 4/5 What is the value of 12/2412*(3 + 3)? 2/67 Evaluate (81/4)/((-2)/(-26) + (-2485)/(-3692)). 27 (-94 + 93)*(2 + -1 + 6) -7 (-4 + -1)*7539/(-5385) 7 Calculate (-2)/(((-8)/(-102))/(-2))*(-372)/1116. -17 What is (-2 - 2)*29/(-812) - (-13)/(-42)? -1/6 Calculate ((-952)/(-840))/(51/6). 2/15 What is (-27 + (-867)/(-34))/(1/(-10))? 15 Calculate (-374)/18 + ((-14365)/153)/13 + 7. -21 What is the value of ((-23)/69)/(6 + 6/162 + -6)? -9 What is (-260)/104*(-1)/5*16? 8 What is the value of (190/(-20) - 8 - -18)*(-1 - 3)? -2 What is the value of (-4)/(-18)*(-120 - -12)? -24 What is 84/(-70)*(-135)/18? 9 Evaluate (-2)/(-6)*-18*5/(60/16). -8 What is 90/27*(-912)/760? -4 What is the value of ((-6)/4*(-2)/(-1))/((-3885)/(-370))? -2/7 Calculate 1221/1998*3/(-22). -1/12 What is the value of ((-256)/(-160))/(208/20)? 2/13 5 + ((-3510)/(-189) - 23) 4/7 What is ((-22)/132)/((-4)/264)? 11 What is the value of (220/(-12) - (-70)/(-105)) + -3? -22 Evaluate 6/(35/((-840)/36)). -4 6 - ((-448)/192)/((-7)/12) 2 (4 + 9 + -22)*2/(-9) - -5 7 Calculate ((-6)/(-1))/((-6
{ "pile_set_name": "DM Mathematics" }
, 447? h**3 - h**2 - 22*h + 175 What is the g'th term of 1004, 3974, 8924, 15854, 24764, 35654? 990*g**2 + 14 What is the p'th term of -116, -157, -220, -305, -412? -11*p**2 - 8*p - 97 What is the x'th term of -504, -2010, -4520, -8034, -12552, -18074? -502*x**2 - 2 What is the x'th term of 116, 469, 1060, 1889, 2956? 119*x**2 - 4*x + 1 What is the p'th term of 25295, 25296, 25297, 25298? p + 25294 What is the p'th term of 26, 50, 74, 98, 122? 24*p + 2 What is the h'th term of -4276, -4272, -4266, -4258, -4248? h**2 + h - 4278 What is the j'th term of -173, -122, -37, 82, 235, 422, 643? 17*j**2 - 190 What is the x'th term of -3254, -6509, -9764, -13019? -3255*x + 1 What is the y'th term of 41, 81, 121, 161, 201, 241? 40*y + 1 What is the y'th term of -7483, -7485, -7489, -7495, -7503, -7513? -y**2 + y - 7483 What is the n'th term of 131, 149, 191, 269, 395, 581, 839? 2*n**3 + 4*n + 125 What is the f'th term of -94, -90, -86? 4*f - 98 What is the s'th term of -68, -103, -116, -95, -28, 97? 2*s**3 - s**2 - 46*s - 23 What is the w'th term of 40, 82, 124? 42*w - 2 What is the x'th term of 3037, 3036, 3035, 3034? -x + 3038 What is the g'th term of -160, -158, -156, -154, -152, -150? 2*g - 162 What is the u'th term of 527, 529, 531? 2*u + 525 What is the l'th term of -194, -203, -204, -191, -158? l**3 - 2*l**2 - 10*l - 183 What is the a'th term of -1, 13, 45, 101, 187, 309? a**3 + 3*a**2 - 2*a - 3 What is the a'th term of 0, 41, 154, 375, 740? 6*a**3 - a - 5 What is the t'th term of 33, 122, 265, 456, 689, 958, 1257, 1580? -t**3 + 33*t**2 - 3*t + 4 What is the z'th term of -30, -108, -232, -402, -618? -23*z**2 - 9*z + 2 What is the n'th term of 17938, 17939, 17940, 17941, 17942, 17943? n + 17937 What is the q'th term of -388, -402, -428, -472, -540, -638? -q**3 - 7*q - 380 What is the v'th term of -214, -150, -76, 14, 126, 266? v**3 - v**2 + 60*v - 274 What is the g'th term of -5391, -5400, -5419, -5454, -5511, -5596, -5715, -5874? -g**3 + g**2 - 5*g - 5386 What is the p'th term of -466, -469, -472, -475? -3*p - 463 What is the u'th term of 30, 4, -78, -246, -530, -960, -1566, -2378? -5*u**3 + 2*u**2 + 3*u + 30 What is the r'th term of 45, 95, 153, 219, 293? 4*r**2 + 38*r + 3 What is the i'th term of 12, 38, 64, 90, 116, 142? 26*i - 14 What is the z'th term of 2007, 2008, 2009, 2010, 2011? z + 2006 What is the w'th term of 0, 23, 58, 111, 188? w**3 + 16*w - 17 What is the f'th term of -985, -987, -991, -997, -1005, -1015, -1027? -f**2 + f - 985 What is the v'th term of 15, 75, 181, 339, 555? v**3 + 17*v**2 + 2*v - 5 What is the m'th term of -18, -94, -292, -672, -1294, -2218? -10*m**3 - m**2 - 3*m - 4 What is the g'th term of -145, -538, -1187, -2086, -3229? g**3 - 134*g**2 + 2*g - 14 What is the y'th term of -37, -43, -49, -55, -61, -67? -6*y - 31 What is the b'th term of -177, -172, -165, -156? b**2 + 2*b - 180 What is the v'th term of -1203, -2410, -3617? -1207*v + 4 What is the l'th term of -825, -1670, -2491, -3276, -4013, -4690, -5295, -5816? 2*l**3 - 859*l + 32 What is the o'th term of 5308, 5293, 5260, 5203, 5116, 4993, 4828, 4615? -o**3 - 3*o**2 + o + 5311 What is the z'th term of 26, 23, 22, 23? z**2 - 6*z + 31 What is the o'th term of 288, 273, 260, 249, 240, 233, 228? o**2 - 18*o + 305 What is the s'th term of 25, 7, -59, -179, -359, -605, -923, -1319? -s**3 - 18*s**2 + 43*s + 1 What is the w'th term of -755, -754, -753? w - 756 What is the y'th term of -184, -387, -578, -751, -900? y**3 - 210*y + 25 What is the u'th term of 191, 199, 215, 245, 295, 371? u**3 - 2*u**2 + 7*u + 185 What is the x'th term of 35, 34, 21, -10, -65? -x**3 + 6*x + 30 What is the c'th term of 163, 166, 171, 178, 187, 198? c**2 + 162 What is the k'th term of 277, 275, 273, 271, 269, 267? -2*k + 279 What is the i'th term of 47, 13, -35, -103, -197, -323, -487, -695? -i**3 - i**2 - 24*i + 73 What is the m'th term of -29, -95, -209, -371? -24*m**2 + 6*m - 11 What is the y'th term of 158, 390, 776, 1316, 2010? 77*y**2 + y + 80 What is the t'th term of 131, 126, 119, 110, 99, 86? -t**2 - 2*t + 134 What is the r'th term of -80, -85, -92, -101? -r**2 - 2*r - 77 What is the o'th term of 2, -59, -164, -313, -506, -743, -1024? -22*o**2 + 5*o + 19 What is the h'th term of -288, -281, -270, -255, -236, -213, -186? 2*h**2 + h - 291 What is the k'th term of -41, -45, -1, 115, 327, 659, 1135, 1779? 4*k**3 - 32*k - 13 What is the n'th term of -81, -174, -269, -366, -465, -566, -669? -n**2 - 90*n + 10 What is the y'th term of 1829, 1831, 1833, 1835, 1837, 1839? 2*y + 1827 What is the q'th term of -25, -52, -79, -106, -133, -160? -27*q + 2 What is the z'th term of 87, 161, 219, 255, 263, 237, 171, 59? -z**3 - 2*z**2 + 87*z + 3 What is the s'th term of -46, -118, -246, -436, -694, -1026? -s**3 - 22*s**2 + s - 24 What is the i'th term of -83, -63, -21, 49, 153? i**3 + 5*i**2 - 2*i - 87 What is the b'th term of -17, -18, -19, -20? -b - 16 What is the x'th term of 400, 389, 364, 319, 248? -x**3 - x**2 - x + 403 What is the j'th term of 29, 22, 15, 8, 1, -6? -7*j + 36 What is the n'th term of -216, -456, -700, -948, -1200? -2*n**2 - 234*n + 20 What is the s'th term of -17, -17, -5, 25, 79, 163, 283, 445? s**3 - 7*s - 11 What is the x'th term of 52, 97, 144, 193? x**2 + 42*x + 9 What is the u'th term of -8, -34, -68, -110, -160, -218, -284? -4*u**2 - 14*u + 10 What is the p'th term of 99, 201, 303, 405, 507? 102*p - 3 What is the u'th term of 47, 62, 69, 62, 35, -18? -u**3 + 2*u**2 + 16*u + 30 What is the h'th term of 54, 117, 218, 357, 534? 19*h**2 + 6*h + 29 What is the m'th term of -6579, -6574, -6567, -6558, -6547, -6534? m**2 + 2*m - 6582 What is the n'th term of 627, 1254, 1881, 2508, 3135? 627*n What is the g'th term of 29, -4, -89, -250, -511, -896, -1429, -2134? -4*g**3 - 2*g**2 + g + 34 What is the q'th term of 9, 6, -3, -18, -39? -3*q**2 + 6*q + 6 What is the d'th term of 43, 59, 73, 85, 95? -d**2 + 19*d + 25 What is the f'th term of -22, -14, -10, -16, -38, -82? -f**3 + 4*f**2 + 3*f - 28 What is the d'th term of 8, -23, -68, -121, -176, -227? d**3 - 13*d**2 + d + 19 What is the s'th term of 104, 194, 334, 518, 740, 994, 1274? -s**3 + 31*s**2 + 4*s + 70 What is the x'th term of 5, 73, 141, 209, 277, 345? 68*x - 63 What is the z'th term of -234, -253, -300, -387, -526, -729, -1008? -2*z**3 - 2*z**2 + z - 231 What is the c'th term of 74, 97, 148, 239, 382? 2*c**3 + 2*c**2 + 3*c + 67 What is the r'th term of 1719, 3445, 5171? 1726*r - 7 What is the t'th term of -35, -46, -55, -62, -67, -70, -71? t**2 - 14*t - 22 What is the s'th term of -178, -164, -140, -100, -38, 52, 176, 340? s**3 - s**2 + 10*s - 188 What is the u'th term of 4536, 4532, 4526, 4518, 4508, 4496, 4482? -u**2 - u + 4538 What is the a'th term of -3184, -3185, -3186, -3187, -3188? -a - 3183 What is the g'th term of 79, 74, 65, 52? -2*g**2 + g + 80 What is the z'th term of 583, 601, 637, 697, 787, 913? z**3 + 3*z**2 + 2*z + 577 What is the p'th term of 32, 44, 78, 146, 260, 432? 2*p**3 - p**2 + p + 30 What is the o'th term of 83, 112, 137, 158? -2*o**2 + 35*o + 50 What is the i'th term of 7521, 7527, 7545, 7581, 7641? i**3 - i + 7521 What is the j'th term of -22, -20, -18, -16? 2*j - 24 What is the r'th term of 11, 9, 5, -1, -9, -19? -r**2 + r + 11 What is the y'th term of 620, 591, 562, 533, 504? -29*y + 649 What is the x'th term of -103, -189, -275, -361, -447? -86*x - 17 What is the v'th term of 566, 561, 554, 545? -v**2 - 2*v + 569 What is the k'th term of -30, -8, 16, 42, 70, 100, 132? k**2 + 19*k - 50 What is the p'th term of -1, -6, -15, -28, -45, -66? -2*p**2 + p What is the v'th term of -533, -567, -601, -635, -669, -703? -34*v - 499 What is the h'th term of -1010, -2041, -3092, -4169, -5278, -6425, -7616, -8857? -h**3 - 4*h**2 - 1012*h + 7 What is the s'th term of -14, -6, 12, 40, 78, 126, 184? 5*s**2 - 7*s - 12 What is the x'th term of -81, -338, -767, -1368? -86*x**2 + x + 4 What is the p'th term of 95, 96, 97, 98, 99, 100? p + 94 What is the j'th term of 220, 273, 326, 379, 432, 485? 53*j + 167 What is the b'th term of 22, 36, 52, 70? b**2 + 11*b + 10 What is the w'th term of -27, -26, -25? w - 28 What is the q'th term of -66, -68, -70, -72? -2*q - 64 What is the l'th term of 15, 20, 27, 36, 47? l**
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest ten thousand? -10000 What is -0.000243 rounded to six dps? -0.000243 Round -300.32 to the nearest integer. -300 Round 0.00000646 to six dps. 0.000006 What is -0.13784 rounded to 2 dps? -0.14 What is 6457800 rounded to the nearest one hundred thousand? 6500000 What is 64230 rounded to the nearest ten thousand? 60000 Round -0.179 to 2 dps. -0.18 What is -1678.2 rounded to the nearest 10? -1680 Round -101550000 to the nearest 100000. -101600000 What is 153.272 rounded to the nearest 10? 150 Round 41172000 to the nearest 100000. 41200000 What is 120160000 rounded to the nearest one million? 120000000 What is -117.79 rounded to the nearest ten? -120 Round 0.00001374 to six dps. 0.000014 What is -0.0000002 rounded to 6 decimal places? 0 What is 910200 rounded to the nearest ten thousand? 910000 Round -17689000 to the nearest 1000000. -18000000 What is 811.6 rounded to the nearest ten? 810 Round -0.032299 to 2 dps. -0.03 What is -9020 rounded to the nearest 1000? -9000 What is 31590000 rounded to the nearest one million? 32000000 Round 122156000 to the nearest one million. 122000000 Round -0.00013414 to five dps. -0.00013 What is 917000 rounded to the nearest one hundred thousand? 900000 What is 0.0000010527 rounded to 6 decimal places? 0.000001 Round 0.000037229 to 7 dps. 0.0000372 What is 0.00017929 rounded to five decimal places? 0.00018 What is 78118 rounded to the nearest one thousand? 78000 What is -0.9356 rounded to two decimal places? -0.94 Round -0.0000099 to six dps. -0.00001 Round 0.33612 to 3 decimal places. 0.336 What is 93950 rounded to the nearest one thousand? 94000 What is -30260 rounded to the nearest one thousand? -30000 What is -750500000 rounded to the nearest 1000000? -751000000 What is 0.0001943 rounded to 5 decimal places? 0.00019 Round -0.04158 to three dps. -0.042 Round 3167.7 to the nearest ten. 3170 Round 5.59 to zero dps. 6 What is 42.603 rounded to 0 dps? 43 What is 18018.3 rounded to the nearest 1000? 18000 What is -0.000000605 rounded to 7 decimal places? -0.0000006 What is 492410 rounded to the nearest 1000? 492000 Round 0.000000157 to 7 decimal places. 0.0000002 What is -1420640 rounded to the nearest 100000? -1400000 Round -0.41444 to three decimal places. -0.414 What is -350.301 rounded to the nearest 10? -350 Round -0.000016865 to 7 dps. -0.0000169 Round -0.0005938 to 4 dps. -0.0006 What is -0.03118 rounded to 2 decimal places? -0.03 What is -0.0063151 rounded to three dps? -0.006 What is 64.36 rounded to zero decimal places? 64 What is -31717200 rounded to the nearest 100000? -31700000 What is -0.004307 rounded to four dps? -0.0043 What is -0.0000005091 rounded to 7 dps? -0.0000005 Round -60000 to the nearest 100000. -100000 What is 310990 rounded to the nearest 10000? 310000 Round -3.5914 to 0 decimal places. -4 Round 15.271 to 0 dps. 15 Round 594800 to the nearest 100000. 600000 Round 1.92 to zero decimal places. 2 Round -392.57 to 0 decimal places. -393 Round -751.676 to the nearest 10. -750 Round -495.13 to the nearest one hundred. -500 Round -5305000 to the nearest 100000. -5300000 Round -1370.4 to the nearest 100. -1400 Round 0.050484 to three decimal places. 0.05 What is -0.000741 rounded to 2 decimal places? 0 Round 714.9 to the nearest 100. 700 Round 2730 to the nearest 1000. 3000 Round -0.000405 to three decimal places. 0 Round -0.0024 to 4 decimal places. -0.0024 What is -250000 rounded to the nearest one million? 0 What is -51.5 rounded to the nearest 10? -50 Round -0.21665 to two decimal places. -0.22 Round 53860000 to the nearest one million. 54000000 What is -179080 rounded to the nearest ten thousand? -180000 Round 0.004267 to 4 dps. 0.0043 Round -1218.3 to the nearest ten. -1220 What is 0.0000014063 rounded to 7 decimal places? 0.0000014 What is 0.0068346 rounded to 3 dps? 0.007 Round 366020000 to the nearest one million. 366000000 What is -322.2 rounded to the nearest 100? -300 Round 0.00078731 to 5 dps. 0.00079 Round -4390 to the nearest 1000. -4000 Round -0.073902 to 2 decimal places. -0.07 What is 10324.5 rounded to the nearest one hundred? 10300 Round 96.16 to the nearest 10. 100 Round -1.91 to the nearest 10. 0 What is -0.00000037195 rounded to 7 dps? -0.0000004 What is -1.141 rounded to two decimal places? -1.14 Round -9.2 to the nearest ten. -10 Round 52893 to the nearest one thousand. 53000 What is 0.00000020299 rounded to 7 decimal places? 0.0000002 Round -16760 to the nearest 10000. -20000 Round 3168 to the nearest 100. 3200 What is 0.01173 rounded to 3 dps? 0.012 What is 4820 rounded to the nearest one thousand? 5000 Round -0.0015561 to five decimal places. -0.00156 Round 0.003614 to 3 decimal places. 0.004 Round 0.00724 to 3 dps. 0.007 What is -0.15775 rounded to 3 decimal places? -0.158 Round -0.07499 to two decimal places. -0.07 What is -0.000927 rounded to 4 dps? -0.0009 Round -18019 to the nearest one thousand. -18000 What is 269120000 rounded to the nearest one million? 269000000 What is 0.000227245 rounded to five dps? 0.00023 What is -491050 rounded to the nearest ten thousand? -490000 What is -11030000 rounded to the nearest 1000000? -11000000 Round 56.8 to the nearest ten. 60 What is -0.00289 rounded to 3 decimal places? -0.003 What is 96.007 rounded to the nearest integer? 96 What is -92.704 rounded to the nearest ten? -90 Round -213.6 to the nearest ten. -210 Round 0.0000009542 to seven decimal places. 0.000001 What is -5.452 rounded to the nearest integer? -5 What is -18.244 rounded to the nearest ten? -20 What is 0.015705 rounded to 4 dps? 0.0157 Round -0.00003231 to five decimal places. -0.00003 What is 0.007483 rounded to 3 dps? 0.007 What is 0.005289 rounded to four dps? 0.0053 What is 0.00068714 rounded to 5 decimal places? 0.00069 Round 9.899 to the nearest integer. 10 Round 0.000023888 to 7 decimal places. 0.0000239 Round -0.6795 to 1 decimal place. -0.7 What is 35.72 rounded to the nearest ten? 40 Round 1.147 to one dp. 1.1 What is -0.00004172 rounded to five dps? -0.00004 What is -25743800 rounded to the nearest one million? -26000000 What is -0.000088136 rounded to five decimal places? -0.00009 What is 0.0007868 rounded to four decimal places? 0.0008 Round 32171.6 to the nearest one thousand. 32000 What is -48136000 rounded to the nearest 1000000? -48000000 What is -116700 rounded to the nearest 10000? -120000 Round -3861 to the nearest 100. -3900 What is 0.00021682 rounded to 6 decimal places? 0.000217 What is 62349000 rounded to the nearest one million? 62000000 What is 0.000676 rounded to 5 decimal places? 0.00068 What is -0.00219926 rounded to five dps? -0.0022 What is 1321000 rounded to the nearest 100000? 1300000 What is 7027300 rounded to the nearest 1000000? 7000000 Round -2.65 to zero dps. -3 What is 0.0000004004 rounded to 7 dps? 0.0000004 What is 0.1884 rounded to one decimal place? 0.2 Round -2150000 to the nearest 100000. -2200000 What is 2790 rounded to the nearest one thousand? 3000 Round -2390 to the nearest 100. -2400 Round 1.5117 to 1 dp. 1.5 What is -98.542 rounded to the nearest ten? -100 What is -8.533 rounded to 1 decimal place? -8.5 What is -109000 rounded to the nearest ten thousand? -110000 Round -0.00012165 to 6 decimal places. -0.000122 Round -0.00893 to 3 dps. -0.009 What is -0.00000425 rounded to 6 decimal places? -0.000004 Round -0.000005859 to 7 decimal places. -0.0000059 Round -0.306 to 1 decimal place. -0.3 What is -678400 rounded to the nearest ten thousand? -680000 What is -15.655 rounded to one dp? -15.7 What is -0.000001 rounded to 6 dps? -0.000001 What is -336.7 rounded to the nearest 100? -300 What is -0.0014834 rounded to 4 decimal places? -0.0015 Round 0.00001649 to 6 dps. 0.000016 Round -0.00007208 to 5 dps. -0.00007 Round 0.00000398 to six decimal places. 0.000004 What is 37315 rounded to the nearest one hundred? 37300 What is -37100 rounded to the nearest 10000? -40000 Round 94.096 to one decimal place. 94.1 What is 0.045833 rounded to 4 dps? 0.0458 What is 13.027 rounded to zero decimal places? 13 What is 173.771 rounded to one decimal place? 173.8 Round -49332 to the nearest 100. -49300 What is 0.036283 rounded to three decimal places? 0.036 What is -0.000082579 rounded to 7 dps? -0.000082
{ "pile_set_name": "DM Mathematics" }
706, 760? 5*q**2 - q + 586 What is the n'th term of 203, 206, 209, 212, 215? 3*n + 200 What is the z'th term of 26, 27, 30, 35? z**2 - 2*z + 27 What is the t'th term of 18, 27, 32, 33, 30, 23, 12? -2*t**2 + 15*t + 5 What is the a'th term of 12, 27, 52, 87, 132, 187? 5*a**2 + 7 What is the k'th term of -982, -1941, -2902, -3865, -4830, -5797, -6766? -k**2 - 956*k - 25 What is the b'th term of -46, -111, -226, -397, -630, -931, -1306, -1761? -b**3 - 19*b**2 - b - 25 What is the w'th term of -32, -27, -18, -5? 2*w**2 - w - 33 What is the m'th term of -31, -31, -21, 5, 53? m**3 - m**2 - 4*m - 27 What is the u'th term of 1766, 7060, 15882, 28232, 44110? 1764*u**2 + 2*u What is the c'th term of -189, -194, -201, -210, -221? -c**2 - 2*c - 186 What is the m'th term of 130, 135, 146, 163, 186, 215? 3*m**2 - 4*m + 131 What is the j'th term of 484, 538, 592, 646? 54*j + 430 What is the n'th term of 935, 1872, 2809, 3746, 4683, 5620? 937*n - 2 What is the t'th term of -678, -676, -674? 2*t - 680 What is the n'th term of -636, -637, -640, -645, -652, -661? -n**2 + 2*n - 637 What is the m'th term of 21, 51, 81, 111, 141? 30*m - 9 What is the w'th term of 22, 35, 56, 85, 122, 167? 4*w**2 + w + 17 What is the j'th term of -59, -48, -27, 10, 69, 156, 277? j**3 - j**2 + 7*j - 66 What is the f'th term of -18, -11, 2, 21, 46, 77? 3*f**2 - 2*f - 19 What is the h'th term of 50, 167, 362, 635, 986? 39*h**2 + 11 What is the b'th term of 193, 385, 579, 775, 973, 1173, 1375? b**2 + 189*b + 3 What is the n'th term of 3216, 3218, 3220? 2*n + 3214 What is the y'th term of -105, -143, -213, -321, -473, -675? -y**3 - 10*y**2 - y - 93 What is the i'th term of -230, -443, -658, -875, -1094? -i**2 - 210*i - 19 What is the o'th term of -99, -183, -315, -489, -699, -939, -1203? o**3 - 30*o**2 - o - 69 What is the w'th term of -20, -62, -122, -194, -272, -350, -422? w**3 - 15*w**2 - 4*w - 2 What is the p'th term of -87, -189, -327, -519, -783, -1137, -1599, -2187? -3*p**3 - 81*p - 3 What is the h'th term of -105, -202, -407, -774, -1357? -9*h**3 - 34*h - 62 What is the j'th term of 11, 44, 135, 314, 611, 1056, 1679, 2510? 5*j**3 - j**2 + j + 6 What is the h'th term of -3706, -3708, -3710, -3712? -2*h - 3704 What is the d'th term of -77, -75, -87, -119, -177, -267? -d**3 - d**2 + 12*d - 87 What is the w'th term of 104, 260, 416? 156*w - 52 What is the y'th term of 96, 97, 98, 99, 100, 101? y + 95 What is the r'th term of -147, -148, -157, -180, -223, -292? -r**3 + 2*r**2 - 148 What is the r'th term of -270, -540, -810, -1080, -1350? -270*r What is the x'th term of 14, 102, 258, 488, 798? x**3 + 28*x**2 - 3*x - 12 What is the p'th term of 130, 304, 478, 652? 174*p - 44 What is the s'th term of 252, 254, 258, 264, 272? s**2 - s + 252 What is the h'th term of -3, 2, 9, 18, 29, 42? h**2 + 2*h - 6 What is the o'th term of 8919, 8922, 8927, 8934? o**2 + 8918 What is the s'th term of -113, -436, -975, -1730? -108*s**2 + s - 6 What is the l'th term of -1, 100, 395, 980, 1951, 3404, 5435? 16*l**3 + l**2 - 14*l - 4 What is the m'th term of 12, 3, -6? -9*m + 21 What is the t'th term of -4, -11, -24, -43, -68? -3*t**2 + 2*t - 3 What is the u'th term of -624, -1263, -1924, -2613, -3336, -4099, -4908? -u**3 - 5*u**2 - 617*u - 1 What is the z'th term of -5327, -5325, -5321, -5315, -5307? z**2 - z - 5327 What is the a'th term of -2396, -2401, -2416, -2447, -2500, -2581, -2696, -2851? -a**3 + a**2 - a - 2395 What is the o'th term of 30, 22, 14? -8*o + 38 What is the s'th term of 11, 19, 27, 35, 43? 8*s + 3 What is the y'th term of 113, 482, 1095, 1952, 3053? 122*y**2 + 3*y - 12 What is the i'th term of 4155, 8316, 12479, 16644, 20811? i**2 + 4158*i - 4 What is the a'th term of 19, 29, 33, 31? -3*a**2 + 19*a + 3 What is the b'th term of 590, 1180, 1768, 2354, 2938, 3520? -b**2 + 593*b - 2 What is the o'th term of -7458, -7457, -7456, -7455, -7454? o - 7459 What is the j'th term of 224, 447, 670, 893? 223*j + 1 What is the h'th term of 22004, 22002, 21990, 21962, 21912, 21834, 21722, 21570? -h**3 + h**2 + 2*h + 22002 What is the a'th term of 21, 10, -3, -18, -35? -a**2 - 8*a + 30 What is the v'th term of -84, -82, -94, -126, -184, -274? -v**3 - v**2 + 12*v - 94 What is the a'th term of -3943, -3944, -3955, -3982, -4031? -a**3 + a**2 + 3*a - 3946 What is the g'th term of -289, -276, -255, -226, -189? 4*g**2 + g - 294 What is the l'th term of 84, 103, 106, 69, -32? -4*l**3 + 16*l**2 - l + 73 What is the h'th term of 4421, 4423, 4427, 4433, 4441, 4451? h**2 - h + 4421 What is the h'th term of 9, 17, 23, 27, 29, 29? -h**2 + 11*h - 1 What is the u'th term of -92, -138, -214, -320? -15*u**2 - u - 76 What is the l'th term of -317, -1266, -2849, -5066, -7917, -11402, -15521? -317*l**2 + 2*l - 2 What is the h'th term of -142, -145, -152, -163? -2*h**2 + 3*h - 143 What is the r'th term of -322, -645, -968, -1291? -323*r + 1 What is the p'th term of -187, -611, -1311, -2281, -3515, -5007? p**3 - 144*p**2 + p - 45 What is the w'th term of 83, 18, -149, -466, -981, -1742? -8*w**3 - 3*w**2 + 94 What is the i'th term of 29365, 58732, 88111, 117508, 146929, 176380, 205867, 235396? i**3 + 29360*i + 4 What is the n'th term of 649, 636, 623, 610, 597, 584? -13*n + 662 What is the x'th term of -27, -34, -43, -54? -x**2 - 4*x - 22 What is the u'th term of -122, -292, -462, -632, -802, -972? -170*u + 48 What is the z'th term of -22, -39, -66, -103? -5*z**2 - 2*z - 15 What is the m'th term of 21, 19, -7, -69, -179, -349, -591? -2*m**3 + 12*m + 11 What is the n'th term of 11, 32, 75, 152, 275, 456, 707, 1040? 2*n**3 - n**2 + 10*n What is the v'th term of -128, -508, -1142, -2030, -3172? -127*v**2 + v - 2 What is the m'th term of 59, 267, 623, 1121, 1755? -m**3 + 80*m**2 - 25*m + 5 What is the f'th term of -24, -14, -8, -12, -32, -74, -144, -248? -f**3 + 4*f**2 + 5*f - 32 What is the v'th term of 35, 77, 147, 245, 371? 14*v**2 + 21 What is the v'th term of -2226, -2233, -2254, -2295, -2362, -2461, -2598, -2779? -v**3 - v**2 + 3*v - 2227 What is the j'th term of -441, -443, -447, -453, -461? -j**2 + j - 441 What is the g'th term of 478, 477, 468, 445, 402, 333, 232? -g**3 + 2*g**2 + 477 What is the w'th term of 8076, 8077, 8078, 8079? w + 8075 What is the r'th term of -15, -63, -143, -255? -16*r**2 + 1 What is the k'th term of -25, -50, -79, -112, -149? -2*k**2 - 19*k - 4 What is the l'th term of 48, 132, 228, 342, 480, 648? l**3 + 77*l - 30 What is the g'th term of -184, -189, -198, -211? -2*g**2 + g - 183 What is the k'th term of -67, -264, -591, -1048? -65*k**2 - 2*k What is the r'th term of 8, 33, 60, 83, 96? -r**3 + 7*r**2 + 11*r - 9 What is the m'th term of 183, 186, 189, 192, 195? 3*m + 180 What is the v'th term of 15, 21, 31, 45, 63, 85? 2*v**2 + 13 What is the p'th term of -42, -55, -42, 9, 110, 273, 510? 2*p**3 + p**2 - 30*p - 15 What is the k'th term of -112, -455, -1026, -1825? -114*k**2 - k + 3 What is the t'th term of -1381, -2740, -4085, -5410, -6709, -7976, -9205? t**3 + t**2 - 1369*t - 14 What is the r'th term of -1382, -2758, -4132, -5504, -6874, -8242? r**2 - 1379*r - 4 What is the r'th term of 171, 357, 555, 771, 1011, 1281? r**3 + 179*r - 9 What is the j'th term of -1494, -1493, -1490, -1485, -1478, -1469? j**2 - 2*j - 1493 What is the h'th term of 9, 7, 5, 3, 1? -2*h + 11 What is the h'th term of -98, -196, -292, -386, -478, -568? h**2 - 101*h + 2 What is the j'th term of -20, -63, -134, -233? -14*j**2 - j - 5 What is the u'th term of -140, -139, -128, -101, -52, 25? u**3 - u**2 - 3*u - 137 What is the n'th term of 173, 198, 259, 374, 561, 838, 1223? 3*n**3 + 4*n + 166 What is the j'th term of 111, 102, 83, 48, -9, -94, -213? -j**3 + j**2 - 5*j + 116 What is the c'th term of -171, -324, -473, -618, -759, -896? 2*c**2 - 159*c - 14 What is the j'th term of -4, -19, -38, -61, -88, -119, -154? -2*j**2 - 9*j + 7 What is the g'th term of 4608, 4603, 4596, 4587, 4576, 4563? -g**2 - 2*g + 4611 What is the q'th term of 66, 64, 60, 54, 46, 36? -q**2 + q + 66 What is the q'th term of -1789, -1788, -1787, -1786? q - 1790 What is the o'th term of -824, -825, -826, -827, -828, -829? -o - 823 What is the s'th term of 174, 340, 508, 678, 850, 1024, 1200? s**2 + 163*s + 10 What is the s'th term of -9, -4, 9, 36, 8
{ "pile_set_name": "DM Mathematics" }
Put 68, -3, 4, 3 in decreasing order. 68, 4, 3, -3 Sort 2, 0, -44, 8, -3 in decreasing order. 8, 2, 0, -3, -44 Sort 0.2, -92, 8267.49 in descending order. 8267.49, 0.2, -92 Sort 12602, 2, -83, 4, -1 in descending order. 12602, 4, 2, -1, -83 Put 3712, -54, 0, -3, -1 in ascending order. -54, -3, -1, 0, 3712 Sort -3, -1704, 3, 52, 1, 5. -1704, -3, 1, 3, 5, 52 Sort 20, -1/3, -7264, -7 in increasing order. -7264, -7, -1/3, 20 Sort -3, -1546925, 0 in increasing order. -1546925, -3, 0 Put 221/7, 19, -0.5, 79, 2 in decreasing order. 79, 221/7, 19, 2, -0.5 Sort 36.3, 13, 2/179, -4 in increasing order. -4, 2/179, 13, 36.3 Sort -4, 49, 3, 1499 in ascending order. -4, 3, 49, 1499 Sort 1043, 27, -2, 6, 2, -5, 22 in ascending order. -5, -2, 2, 6, 22, 27, 1043 Sort -58, 123, -122, -8 in descending order. 123, -8, -58, -122 Put 68, -80, -3, -11, -2, -33 in descending order. 68, -2, -3, -11, -33, -80 Put -2, 7255, -517 in decreasing order. 7255, -2, -517 Put 453, 0.3, -6, -10, -286 in descending order. 453, 0.3, -6, -10, -286 Put -779.6, -1/5, -2/15, -24/13 in descending order. -2/15, -1/5, -24/13, -779.6 Sort 4/7, 0.101, -0.107, 5, 1 in decreasing order. 5, 1, 4/7, 0.101, -0.107 Put 267, -8, 7, 53, 3 in ascending order. -8, 3, 7, 53, 267 Put 645, -1/3, -54246, 2/7, -1 in ascending order. -54246, -1, -1/3, 2/7, 645 Put -3, -5, 21.662, 24 in descending order. 24, 21.662, -3, -5 Put -180, -2, 2, -3518, -12 in descending order. 2, -2, -12, -180, -3518 Put 246946, -1, 2 in ascending order. -1, 2, 246946 Put -3, -1/5, -4/63, 49.1, -0.4 in descending order. 49.1, -4/63, -1/5, -0.4, -3 Sort 470, -5, 102. -5, 102, 470 Put 1, -1, -4, 0, 5, 2, 11692 in decreasing order. 11692, 5, 2, 1, 0, -1, -4 Put 0, -9, -30, 266, -4 in descending order. 266, 0, -4, -9, -30 Put 4.66, -100/327, 1 in ascending order. -100/327, 1, 4.66 Put -639, -438, 0, 2, 3 in descending order. 3, 2, 0, -438, -639 Put -3, -6, -27, -1563, -4 in ascending order. -1563, -27, -6, -4, -3 Sort 5, -3, -13, -41, 266, 0 in ascending order. -41, -13, -3, 0, 5, 266 Put 49, 3, -32002 in increasing order. -32002, 3, 49 Sort 29, -5, 0, -1, 39175 in decreasing order. 39175, 29, 0, -1, -5 Sort 0.04, -5/27, -1, -9, 3, -32.9 in ascending order. -32.9, -9, -1, -5/27, 0.04, 3 Sort -5, 1, -7, 5, 52/11, 24, 0.3 in decreasing order. 24, 5, 52/11, 1, 0.3, -5, -7 Sort -247328, 0, 16 in decreasing order. 16, 0, -247328 Sort 17, -1.9, 1.6, -2.66, -0.09 in descending order. 17, 1.6, -0.09, -1.9, -2.66 Put -5, 210, 164, 12 in descending order. 210, 164, 12, -5 Put 26212812, 4, 2 in descending order. 26212812, 4, 2 Put 0, -5, 0.5, -2, 9, -11139, -1 in ascending order. -11139, -5, -2, -1, 0, 0.5, 9 Sort 56, 4/7, -6, -3/2, -2, 1/13 in descending order. 56, 4/7, 1/13, -3/2, -2, -6 Put 143580, -15, -1, 4 in increasing order. -15, -1, 4, 143580 Sort -1, 32, 11, 3, 1034 in descending order. 1034, 32, 11, 3, -1 Sort 42620, 2/9, -0.5, -79/4 in descending order. 42620, 2/9, -0.5, -79/4 Put 0, 17, 2471, 6, 3 in decreasing order. 2471, 17, 6, 3, 0 Sort 26/43, -0.4, 5, 2/31, -3/8, -3 in decreasing order. 5, 26/43, 2/31, -3/8, -0.4, -3 Sort 4, -71, 0.9, 10, -1/6, -7, 18. -71, -7, -1/6, 0.9, 4, 10, 18 Sort -1/121, 12, 0.21, -2. -2, -1/121, 0.21, 12 Sort 2, 25, -2/9, -3, -1, -5374. -5374, -3, -1, -2/9, 2, 25 Sort -1, -1/4, 323, -0.1754, 3/8. -1, -1/4, -0.1754, 3/8, 323 Put -1, -1970, 1, -6.1, 1/2, 5 in increasing order. -1970, -6.1, -1, 1/2, 1, 5 Sort -10, -7, -31301 in increasing order. -31301, -10, -7 Sort 5, 7, 795, 4, -263. -263, 4, 5, 7, 795 Sort 20, 0, 3, -2, 73, -5, 2 in ascending order. -5, -2, 0, 2, 3, 20, 73 Put 7, -3, 293, 2, -1, -2 in ascending order. -3, -2, -1, 2, 7, 293 Sort 4, 2, 1283, 23, 11, 0 in decreasing order. 1283, 23, 11, 4, 2, 0 Sort -0.1, 15/7, 0, 5/6, -3278 in ascending order. -3278, -0.1, 0, 5/6, 15/7 Sort -6, -3, -7969, -9504 in descending order. -3, -6, -7969, -9504 Put -2, 38, -27, -712 in descending order. 38, -2, -27, -712 Put -6594, 2/7, -39 in decreasing order. 2/7, -39, -6594 Put 1, -2/11, -5, -12.067 in increasing order. -12.067, -5, -2/11, 1 Put -1049, -2, -4/3, -2/305 in ascending order. -1049, -2, -4/3, -2/305 Sort 3, 4233787, -1/16. -1/16, 3, 4233787 Sort 13, -2/3835, 1/6, 6/35, -5 in increasing order. -5, -2/3835, 1/6, 6/35, 13 Put -5766897, -6, -1 in increasing order. -5766897, -6, -1 Sort 504, 2, -6, -2, 36 in descending order. 504, 36, 2, -2, -6 Put 2, -3, 33, -197, 5, -5, -1 in decreasing order. 33, 5, 2, -1, -3, -5, -197 Sort -78526, 324, 5 in ascending order. -78526, 5, 324 Put -78, -211, -2, 157 in descending order. 157, -2, -78, -211 Put 3, -597, -3, 8, -20 in ascending order. -597, -20, -3, 3, 8 Sort -4, -73, 13103 in increasing order. -73, -4, 13103 Put 438, -0.2, 3/7, 0.092, -21 in increasing order. -21, -0.2, 0.092, 3/7, 438 Put 2, 1, -91, -24, -6, -4, -5 in descending order. 2, 1, -4, -5, -6, -24, -91 Put 0, 5, -145/208, 1, -1.1 in decreasing order. 5, 1, 0, -145/208, -1.1 Put 2962.6, -5, 1, 2/11, 60, -3 in descending order. 2962.6, 60, 1, 2/11, -3, -5 Sort -4, 486, 5, 1, 0, 4, -2 in increasing order. -4, -2, 0, 1, 4, 5, 486 Put 15, -25, 3, 2256, 1 in decreasing order. 2256, 15, 3, 1, -25 Sort 0.36, 0.352, 0.154. 0.154, 0.352, 0.36 Sort 0.2, -774/19, 12, -4, 0, -0.1. -774/19, -4, -0.1, 0, 0.2, 12 Put 0, -1, 18132996 in increasing order. -1, 0, 18132996 Put -4/25, 2, -0.044, -5.32 in descending order. 2, -0.044, -4/25, -5.32 Sort -5, 1, 11, -1, -122009. -122009, -5, -1, 1, 11 Put -18, -2/1720389, -1 in descending order. -2/1720389, -1, -18 Put 34, 61869, 31 in ascending order. 31, 34, 61869 Sort -1450, -572, 216. -1450, -572, 216 Put -5198, -4, 16, -60 in increasing order. -5198, -60, -4, 16 Sort -188856, 5, 4, -12, -2 in decreasing order. 5, 4, -2, -12, -188856 Put -23, -2, 22/9, 1/4, 4, 5 in ascending order. -23, -2, 1/4, 22/9, 4, 5 Sort 1, -10, 4, 8, -3, 417, 0 in ascending order. -10, -3, 0, 1, 4, 8, 417 Sort -567.762, 0.041, 2 in increasing order. -567.762, 0.041, 2 Put 4, -59, -2, -6, -4, 67, -13 in increasing order. -59, -13, -6, -4, -2, 4, 67 Sort 1, -68, 5, 0, -2, 203. -68, -2, 0, 1, 5, 203 Put -3, -245, 33, -103, -8 in decreasing order. 33, -3, -8, -103, -245 Put -10.5, -20/313, -9 in decreasing order. -20/313, -9, -10.5 Put 2/3, -0.4, -0.1, 1126320, -3.8 in increasing order. -3.8, -0.4, -0.1, 2/3, 1126320 Put 3/5, 0.09, -73, -0.352, -5 in ascending order. -73, -5, -0.352, 0.09, 3/5 Put -2, 0, -6260264 in decreasing order. 0, -2, -6260264 Sort 681, -130031, -4 in decreasing order. 681, -4, -130031 Put 152, 14, -4, -14, 45 in ascending order. -14, -4, 14, 45, 152 Put 25, -22, -1, 0.5, -2/19, -0.4 in decreasing order. 25, 0.5, -2/19, -0.4, -1, -22 Sort -4, -69, 17096 in increasing order. -69, -4, 17096 Put 1/10, -5430, -3, -4, -1.06 in decreasing order. 1/10, -1.06, -3, -4, -5430 Put -1, 5, 8, -5, -227947, -2 in decreasing order. 8, 5, -1, -2, -5, -227947 Put 3, -1, 4, -7, -2, -6, 427 in ascending order. -7, -6, -2, -1, 3, 4, 427 Sort -39, -12468, 0, -0.032 in decreasing order. 0, -0.032, -39, -12468 Put -8994, -183, -27, -3, -4 in increasing order. -8994, -183, -27, -4, -3 Sort 334, -1/2, -2, -3/4, -0.4 in ascending order. -2, -3/4, -1/2, -0.4, 334 Sort 2, -9482, -2, -23, -5, 1, -4. -9482, -23, -5, -4, -2, 1, 2 Sort 0.071, -2126.05, -2. -2126.05, -2, 0.071 Sort -10, 14/2479, 0.03 in ascending order. -10, 14/2479, 0.03 Sort 0, -134, 13, -5, 337, -3 in increasing order. -134, -5, -3, 0, 13, 337 Sort 506, 5, -4, -26, 1, -5, -1 in descending order. 506, 5, 1, -1, -4, -5, -26 Sort -4/15, 2/13, 930, 14/3 in increasing order. -4/15, 2/13, 14/3, 930 Sort -4, -27, -2/9, -2, -2166/7, 5 in ascending order. -2166/7, -27, -4, -2, -2/9, 5 Put -8, 5, 0.9, -5, -3/5, 3, -1/4 in descending order. 5, 3, 0.9, -1/4, -3/5, -5, -8 Put -91, -59.83, 2 in ascending order. -91, -59.83, 2 Sort -7, -13717, 4, 3 in descending order. 4, 3, -7, -13717 Put 1636, -3213, -1, 5 in increasing order. -3213, -1, 5, 1636 Sort -3, 546, -3/7, 0, -0.1, -0.4 in decreasing order. 546, 0, -0.1, -0.4, -3/7, -3 Sort -3, -0.171, -153/1067, -0.5 in decreasing order. -153/1067, -0.171, -0.5, -3 Put 5, -9, 76, -3, -69, -4 in descending order. 76, 5, -3, -4, -9, -69 Put 6, 126, -481, -2, 2, -3 in decreasing order. 126, 6, 2, -2, -
{ "pile_set_name": "DM Mathematics" }
8*t**2 - 5804*t + 12328. -(t - 2)*(t + 46)*(t + 134) Factor 2*m**2 + 16760*m - 16762. 2*(m - 1)*(m + 8381) Solve -4*w**3 + 24646*w**2 - 37982560*w + 56918400 = 0. 3/2, 3080 Determine v so that -4*v**3 - 7800*v**2 - 108612*v - 379456 = 0. -1936, -7 Factor -o**3/2 + 27*o**2 + 57*o/2 - 55. -(o - 55)*(o - 1)*(o + 2)/2 Factor n**4/3 + 1570*n**3 + 18804*n**2 + 56376*n. n*(n + 6)**2*(n + 4698)/3 Factor -x**2/5 + 1332*x/5 - 1327. -(x - 1327)*(x - 5)/5 Factor -52*c**2 + 1794868*c + 552272. -4*(c - 34517)*(13*c + 4) Solve -v**4/5 + 559*v**3/5 - 14975*v**2 - 187815*v + 1299600 = 0. -16, 5, 285 Let -12489*l**2/2 - 12534*l - 90 = 0. What is l? -2, -30/4163 Factor -2*g**2 - 512384*g - 32817170432. -2*(g + 128096)**2 Let -2*m**2/5 - 322*m/5 + 2652 = 0. Calculate m. -195, 34 Solve -20*o**4 - 2432*o**3 - 71024*o**2 + 28800*o = 0 for o. -72, -50, 0, 2/5 Suppose -h**4/4 + 721*h**3/4 + h**2/4 - 721*h/4 = 0. What is h? -1, 0, 1, 721 Factor -5*j**2/2 - 1307861*j - 523144. -(j + 523144)*(5*j + 2)/2 Determine d so that -2*d**2/11 + 114*d/11 + 620/11 = 0. -5, 62 Solve n**2/6 + 97*n + 1719/2 = 0. -573, -9 Suppose d**5/8 + 19*d**4/4 - 1057*d**3/8 + 2945*d**2/4 - 609*d = 0. What is d? -58, 0, 1, 7, 12 Find w such that -2*w**2/11 - 11292*w/11 - 22576/11 = 0. -5644, -2 Factor -g**4/9 + 232*g**3 - 1087846*g**2/9 - 242440*g - 1092025/9. -(g - 1045)**2*(g + 1)**2/9 Factor u**2 + 723*u/4 + 135. (u + 180)*(4*u + 3)/4 Factor -n**3/8 + 2325*n**2/4 + 27931*n/8 + 2910. -(n - 4656)*(n + 1)*(n + 5)/8 Determine o, given that 2*o**2 - 2916*o + 48994 = 0. 17, 1441 Solve -i**5/3 + 16*i**4/3 - 21*i**3 - 16*i**2/3 + 64*i/3 = 0. -1, 0, 1, 8 Determine k, given that 3*k**3 - 16764*k**2 + 33471*k + 251370 = 0. -3, 5, 5586 Factor 3*j**2 - 867*j + 5094. 3*(j - 283)*(j - 6) Let -3*a**2 - 11622*a - 11619 = 0. Calculate a. -3873, -1 Suppose -50*z**4 - 70580*z**3 - 24893562*z**2 + 9965896*z - 996872 = 0. What is z? -706, 1/5 Factor -3*m**2/4 - 669*m/4 - 3045. -3*(m + 20)*(m + 203)/4 Factor l**2 - 79*l - 246. (l - 82)*(l + 3) What is t in 1030*t**4 + 5582*t**3 - 25848*t**2 - 504*t = 0? -42/5, -2/103, 0, 3 Determine a so that 3*a**3/8 + 129*a**2/4 - 2043*a/2 - 41769 = 0. -102, -26, 42 Factor 3*s**3/7 - 5454*s**2/7 + 2283003*s/7 + 181406796/7. 3*(s - 943)**2*(s + 68)/7 Suppose 2*w**5 - 68632*w**4 - 274554*w**3 - 205928*w**2 + 274552*w + 274560 = 0. What is w? -2, -1, 1, 34320 Let -b**5 + 54*b**4 - 681*b**3 - 1172*b**2 + 5292*b + 8928 = 0. What is b? -2, 3, 24, 31 Factor h**2/5 - 4179*h/5 - 836. (h - 4180)*(h + 1)/5 Suppose 32*l**5 - 1584*l**4 + 19954*l**3 - 27314*l**2 + 10014*l - 1102 = 0. Calculate l. 1/4, 1, 19, 29 Factor v**2/5 + 177*v + 101864/5. (v + 136)*(v + 749)/5 Solve -a**2/9 - 76*a/3 - 4160/9 = 0. -208, -20 Factor -v**2/5 - 9442*v/5 - 9441/5. -(v + 1)*(v + 9441)/5 Find n such that -2*n**4/3 + 382*n**3 + 2316*n**2 = 0. -6, 0, 579 Solve -55*i**5 - 9060*i**4 + 70235*i**3 + 247500*i**2 + 116660*i - 51600 = 0. -172, -2, -1, 3/11, 10 Solve -8*s**5 + 228*s**4 - 44*s**3 - 1908*s**2 + 52*s + 1680 = 0. -5/2, -1, 1, 3, 28 Factor 2*m**4/7 - 104*m**3/7 - 216*m**2/7. 2*m**2*(m - 54)*(m + 2)/7 Determine k, given that 2*k**4 - 2216*k**3 + 604886*k**2 + 4966200*k + 4359096 = 0. -7, -1, 558 What is n in 2*n**5/9 - 1000*n**4/3 + 500000*n**3/3 - 250000000*n**2/9 = 0? 0, 500 Determine s so that -20*s**4 + 3508*s**3 - 26548*s**2 - 250996*s - 140280 = 0. -5, -3/5, 14, 167 Find v, given that 2*v**5/11 - 856*v**4/11 - 1734*v**3/11 + 6004*v**2/11 + 6904*v/11 - 10320/11 = 0. -3, -2, 1, 2, 430 Factor 6*t**3 + 728*t**2 + 15446*t - 33852. 2*(t - 2)*(t + 93)*(3*t + 91) Suppose -n**4 - 24*n**3 + 56*n**2 + 96*n - 208 = 0. What is n? -26, -2, 2 Factor -w**3/3 - 11492*w**2/3 - 22981*w/3 - 3830. -(w + 1)**2*(w + 11490)/3 Determine t, given that -13*t**5 + 1588*t**4 + 148151*t**3 + 551302*t**2 + 479252*t - 87320 = 0. -59, -2, 2/13, 185 What is h in h**2/5 - 1290718*h/5 + 416488238881/5 = 0? 645359 Find j, given that 5*j**4/2 + 419*j**3 - 1191*j**2/2 - 674*j + 338 = 0. -169, -1, 2/5, 2 Factor 2*n**2/9 + 97978*n/9 + 97972/3. 2*(n + 3)*(n + 48986)/9 Factor -2*r**2 + 72970*r - 72968. -2*(r - 36484)*(r - 1) Factor -3*f**3/8 - 345*f**2/4 - 687*f/8. -3*f*(f + 1)*(f + 229)/8 Solve 35*t**5 - 1480*t**4 + 1785*t**3 + 58480*t**2 - 75620*t + 16800 = 0 for t. -6, 2/7, 1, 7, 40 Find f such that f**4 + 13022*f**3 - 26047*f**2 + 13024*f = 0. -13024, 0, 1 What is x in 2*x**3/3 - 574*x**2 + 123840*x - 369800/3 = 0? 1, 430 Solve -26*z**2/9 - 898*z/9 + 2368/9 = 0. -37, 32/13 Factor -2*i**2/19 - 188994*i/19 + 188996/19. -2*(i - 1)*(i + 94498)/19 Factor 4*a**3/9 + 321388*a**2/3. 4*a**2*(a + 241041)/9 Factor 2*a**5 - 124*a**4 - 792*a**3 - 1612*a**2 - 1354*a - 408. 2*(a - 68)*(a + 1)**3*(a + 3) Factor -z**2 + 1494604*z - 558460279204. -(z - 747302)**2 Determine x so that x**3/8 + 1533*x**2/4 + 2350089*x/8 = 0. -1533, 0 Factor 3*h**3 - 4509*h**2 - 31674*h - 54360. 3*(h - 1510)*(h + 3)*(h + 4) Find k such that -5*k**4 + 867*k**3 - 5401*k**2 + 9537*k - 3006 = 0. 2/5, 3, 167 Suppose b**3/3 - 1193*b**2/3 + 354016*b/3 + 357604 = 0. What is b? -3, 598 Factor -30791*l**2/3 + 528*l - 4/3. -(41*l - 2)*(751*l - 2)/3 Determine z, given that 105*z**4 + 519*z**3 + 285*z**2 - 963*z + 54 = 0. -3, 2/35, 1 Factor -2*t**2/11 - 306*t + 16880/11. -2*(t - 5)*(t + 1688)/11 Determine b, given that -4*b**3/9 + 39482*b**2/3 - 98698*b/3 + 118436/9 = 0. 1/2, 2, 29609 Find i such that 5*i**4 + 880*i**3 + 21330*i**2 + 184680*i + 543105 = 0. -149, -9 Factor -5*a**3 + 3845*a**2 + 107210*a + 199000. -5*(a - 796)*(a + 2)*(a + 25) Find l, given that -l**2/6 - 13376*l/3 + 8918 = 0. -26754, 2 Factor 3*s**4 - 51*s**3 - 267*s**2 + 315*s. 3*s*(s - 21)*(s - 1)*(s + 5) Factor -3*t**2/2 - 1830*t - 25473/2. -3*(t + 7)*(t + 1213)/2 Factor -2*v**3/7 + 178*v**2/7 - 2070*v/7 - 2250/7. -2*(v - 75)*(v - 15)*(v + 1)/7 Determine v, given that 4615*v**3 - 64620*v**2 - 147540*v + 320 = 0. -2, 2/923, 16 Let -4*b**4/19 + 6*b**3/19 + 108*b**2/19 = 0. Calculate b. -9/2, 0, 6 Factor -2*b**4/11 - 1400*b**3/11 - 254*b**2 - 1396*b/11. -2*b*(b + 1)**2*(b + 698)/11 Find l, given that 3*l**2 - 197394*l + 3247032603 = 0. 32899 Find j such that j**5 + 12*j**4 - 301*j**3 - 1692*j**2 + 1980*j = 0. -22, -6, 0, 1, 15 Determine l, given that 2*l**5/7 - 12*l**4/7 - 86*l**3 - 84*l**2 = 0. -14, -1, 0, 21 Determine t so that 5*t**3 + 29985*t**2 + 1309660*t = 0. -5953, -44, 0 Factor -4*i**2/9 - 16256*i/9 + 5420/3. -4*(i - 1)*(i + 4065)/9 Factor 27*x**3 + 5146353*x**2 + 3430893*x + 571815. 3*(x + 190605)*(3*x + 1)**2 Factor 17*p**2 + 1418*p - 840. (p + 84)*(17*p - 10) Suppose -2*z**3/13 - 568*z**2/13 - 1570*z - 19844/13 = 0. What is z? -242, -41, -1 Suppose 3*r**5/2 + 57*r**4 - 828*r**3 - 939*r**2 + 1653*r/2 + 882 = 0. Calculate r. -49, -1, 1, 12 Factor -2*s**3/3 - 400180*s**2/3 - 800354*s/3 - 133392. -2*(s + 1)**2*(s + 200088)/3 Determine n, given that -n**3/3 + 260*n**2 + 7876*n/3 + 6320 = 0. -6, -4, 790 Factor -4*b**2 + 1104*b - 5420. -4*(b - 271)*(b - 5) Determine a, given that -a**2 + 13094*a + 26192 = 0. -2, 13096 Factor h**4/4 + 109*h**3/2 + 217*h**2/4. h**2*(h + 1)*(h + 217)/4 Let -2*a**2 + 75409*a/3 - 12568/3 = 0. What is a? 1/6, 12568 Find d, given that -3*d**3 + 834*d**2 + 6891*d - 7722 = 0. -9, 1, 286 Suppose 4*q**3/5 - 2292*q**2 + 205308*q/5 - 922428/5 = 0. What is q? 9, 2847 Factor 5*h**3 - 2740*h**2 - 5515*h + 8250. 5*(h - 550)*(h - 1)*(h + 3) Factor -4*d**3 - 27516*d**2 + 82600*d + 110112. -4*(d - 4)*(d + 1)*(d + 6882) Solve -2*b**5 - 19518*b**4 - 175530*b**3 - 292450*b**2 + 487500*b = 0. -9750, -5, 0, 1 Find l such that -2*l**4/9 - 2438*l**3/9 - 364684*l**2/3 - 212855048*l/9 - 14994668432/9 = 0. -346, -181 Factor -2524*y**2/7 - 96*y/7. -4*y*(631*y + 24)/7 Find d, given that d**4/3 - 2162*d**3/3 - 4333*d**2/3 + 10814*d/3 + 4328 = 0. -3, -1, 2, 2164 Factor 5*z**3 + 12930*z**2 + 9472320*z + 1387503520. 5*(z + 194)*(z + 1196)**2 Find m, given that 2*m**3/13 + 70120*m**2/13 + 26966*m + 280440/13 = 0. -35055, -4, -1 Suppose -13*n**5/5 + 1382*n**4/5 - 49564*n**3/5 + 124054*n**2 - 148715*n + 34300 = 0. What is n? 4/13, 1, 35 Suppose x**2/2 - 33833*x/2 + 50745 = 0. Calculate x. 3, 33830 Factor 5*r**4 - 615*r**3 + 14210*r**2 + 310080*r - 323680. 5*(r - 68)**2*(r - 1)*(r + 14) Factor -4*i**4 + 132*i**3 + 1620*i**2 + 4
{ "pile_set_name": "DM Mathematics" }
are there between 4:05 AM and 9:25 AM? 320 How many minutes are there between 12:04 AM and 8:25 AM? 501 What is 660 minutes before 11:29 AM? 12:29 AM How many minutes are there between 12:32 PM and 3:49 PM? 197 How many minutes are there between 3:21 AM and 4:03 AM? 42 What is 249 minutes after 2:00 AM? 6:09 AM What is 470 minutes after 10:21 PM? 6:11 AM What is 676 minutes after 4:17 PM? 3:33 AM How many minutes are there between 4:59 AM and 4:09 PM? 670 How many minutes are there between 3:46 AM and 4:13 AM? 27 How many minutes are there between 8:08 PM and 8:35 PM? 27 How many minutes are there between 10:15 AM and 7:33 PM? 558 How many minutes are there between 7:36 AM and 10:58 AM? 202 What is 644 minutes after 5:23 AM? 4:07 PM What is 549 minutes before 9:54 PM? 12:45 PM How many minutes are there between 8:03 PM and 8:30 PM? 27 What is 98 minutes after 6:15 AM? 7:53 AM How many minutes are there between 2:23 PM and 1:09 AM? 646 What is 4 minutes after 6:17 AM? 6:21 AM What is 359 minutes after 2:14 AM? 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1:03 PM How many minutes are there between 10:09 AM and 1:23 PM? 194 What is 496 minutes after 6:17 AM? 2:33 PM What is 139 minutes before 7:11 PM? 4:52 PM What is 399 minutes before 1:06 PM? 6:27 AM What is 171 minutes after 7:09 AM? 10:00 AM What is 202 minutes after 3:18 PM? 6:40 PM What is 127 minutes after 2:08 PM? 4:15 PM What is 92 minutes after 10:17 AM? 11:49 AM How many minutes are there between 2:44 AM and 4:26 AM? 102 What is 583 minutes before 7:57 AM? 10:14 PM How many minutes are there between 1:22 AM and 8:46 AM? 444 How many minutes are there between 10:51 PM and 4:00 AM? 309 What is 194 minutes before 3:25 PM? 12:11 PM What is 19 minutes after 11:56 PM? 12:15 AM What is 587 minutes after 9:30 PM? 7:17 AM How many minutes are there between 7:21 AM and 4:38 PM? 557 What is 468 minutes after 2:28 AM? 10:16 AM What is 448 minutes after 6:56 AM? 2:24 PM How many minutes are there between 9:40 PM and 1:50 AM? 250 What is 324 minutes before 12:52 PM? 7:28 AM What is 332 minutes before 1:24 PM? 7:52 AM How many minutes are there between 9:01 PM and 10:00 PM? 59 How many minutes are there between 7:56 AM and 12:48 PM? 292 How many minutes are there between 11:49 AM and 4:44 PM? 295 What is 491 minutes after 2:10 AM? 10:21 AM How many minutes are there between 6:48 AM and 2:26 PM? 458 How many minutes are there between 1:55 PM and 1:25 AM? 690 What is 646 minutes after 6:29 AM? 5:15 PM What is 660 minutes before 11:47 AM? 12:47 AM What is 300 minutes before 10:23 AM? 5:23 AM How many minutes are there between 6:31 AM and 4:07 PM? 576 How many minutes are there between 7:22 AM and 8:25 AM? 63 How many minutes are there between 6:03 PM and 4:27 AM? 624 How many minutes are there between 6:05 AM and 3:56 PM? 591 How many minutes are there between 7:43 AM and 11:06 AM? 203 What is 231 minutes after 7:38 PM? 11:29 PM How many minutes are there between 9:42 AM and 3:48 PM? 366 How many minutes are there between 5:11 PM and 11:59 PM? 408 How many minutes are there between 11:19 PM and 6:04 AM? 405 What is 207 minutes before 6:59 AM? 3:32 AM How many minutes are there between 11:22 PM and 4:50 AM? 328 What is 667 minutes after 9:43 PM? 8:50 AM What is 160 minutes before 3:41 PM? 1:01 PM How many minutes are there between 11:10 AM and 8:54 PM? 584 How many minutes are there between 6:46 PM and 8:24 PM? 98 How many minutes are there between 2:36 PM and 7:31 PM? 295 How many minutes are there between 8:59 PM and 8:04 AM? 665 What is 27 minutes after 4:51 PM? 5:18 PM How many minutes are there between 12:59 AM and 1:48 AM? 49 How many minutes are there between 6:09 AM and 4:33 PM? 624 What is 496 minutes after 2:28 PM? 10:44 PM What is 618 minutes after 2:19 PM? 12:37 AM How many minutes are there between 11:59 AM and 11:20 PM? 681 What is 714 minutes after 4:10 PM? 4:04 AM How many minutes are there between 9:17 PM and 3:24 AM? 367 What is 388 minutes after 9:25 PM? 3:53 AM What is 40 minutes after 5:55 PM? 6:35 PM What is 255 minutes after 5:31 PM? 9:46 PM How many minutes are there between 12:55 AM and 1:35 AM? 40 How many minutes are there between 6:44 PM and 4:12 AM? 568 What is 40 minutes before 2:09 AM? 1:29 AM How many minutes are there between 12:32 PM and 7:26 PM? 414 How many minutes are there between 3:32 AM and 2:50 PM? 678 What is 528 minutes before 12:43 AM? 3:55 PM How many minutes are there between 2:10 AM and 8:37 AM? 387 How many minutes are there between 11:52 PM and 8:05 AM? 493 What is 303 minutes after 8:41 PM? 1:44 AM How many minutes are there between 12:11 PM and 8:24 PM? 493 How many minutes are there between 8:18 PM and 5:24 AM? 546 What is 538 minutes before 7:01 PM? 10:03 AM How many minutes are there between 7:40 AM and 12:43 PM? 303 How many minutes are there between 2:29 AM and 1:15 PM? 646 What is 121 minutes after 5:13 AM? 7:14 AM How many minutes are there between 9:55 PM and 6:16 AM? 501 What is 591 minutes before 3:00 AM? 5:09 PM How many minutes are there between 5:01 PM and 1:56 AM? 535 What is 428 minutes before 2:34 AM? 7:26 PM How many minutes are there between 7:19 AM and 8:51 AM? 92 How many minutes are there between 12:48 AM and 11:15 AM? 627 How many minutes are there between 12:17 PM and 3:21 PM? 184 What is 430 minutes after 5:08 PM? 12:18 AM How many minutes are there between 6:21 AM and 8:59 AM? 158 What is 27 minutes after 12:52 PM? 1:19 PM How many minutes are there between 11:13 AM and 9:59 PM? 646 How many minutes are there between 11:58 AM and 11:13 PM? 675 How many minutes are there between 6:45 PM and 5:32 AM? 647 How many minutes are there between 5:50 PM and 6:31 PM? 41 What is 687 minutes after 8:58 PM? 8:25 AM What is 97 minutes after 10:34 AM? 12:11 PM What is 103 minutes after 2:26 AM? 4:09 AM How many minutes are there between 11:26 AM and 12:58 PM? 92 How many minutes are there between 12:28 PM and 1:39 PM? 71 How many minutes are there between 8:07 AM and 2:07 PM? 360 How many minutes are there between 9:10 AM and 11:46 AM? 156 How many minutes are there between 11:37 PM and 4:58 AM? 321 What is 158 minutes after 1:00 AM? 3:38 AM What is 148 minutes after 6:31 PM? 8:59 PM How many minutes are there between 5:46 AM and 9:01 AM? 195 How many minutes are there between 12:57 AM and 1:24 AM? 27 How many minutes are there between 9:53 AM and 6:38 PM? 525 How many minutes are there between 5:19 AM and 12:23 PM? 424 What is 678 minutes before 9:47 AM? 10:29 PM How many minutes are there between 9:21 PM and 10:50 PM? 89 How many minutes are there between 7:57 PM and 12:08 AM? 251 What is 158 minutes before 11:31 PM? 8:53 PM What is 104 minutes before 9:09 AM? 7:25 AM What is 552 minutes before 9:40 AM? 12:28 AM How many minutes are there between 7:15 AM and 9:02 AM? 107 How many minutes are there between 6:12 PM and 10:08 PM? 236 How many minutes are there between 3:18 PM and 4:10 PM? 52 How many minutes are there between 12:35 AM and 7:34 AM? 419 How many minutes are there between 3:52 PM and 1:24 AM? 572 How many minutes are there between 8:33 PM and 7:35 AM? 662 What is 631 minutes before 7:17 PM? 8:46 AM What is 446 minutes after 7:54 AM? 3:20 PM How many
{ "pile_set_name": "DM Mathematics" }
replacement from {z: 2, p: 8}. 8/45 Four letters picked without replacement from kbsksbkss. What is prob of sequence bkbk? 1/252 Three letters picked without replacement from zzmzzzjszjwjzszzwsh. What is prob of sequence jwm? 1/969 Three letters picked without replacement from ccctccccicttt. What is prob of sequence cti? 8/429 Two letters picked without replacement from ymmwmcywmyxywb. What is prob of sequence cx? 1/182 Three letters picked without replacement from fgffgggggfg. Give prob of sequence ggg. 7/33 Four letters picked without replacement from {p: 1, e: 7, o: 5, a: 1}. What is prob of sequence oaoe? 5/858 Three letters picked without replacement from ajbzjczzzzzzjpzp. Give prob of sequence bac. 1/3360 What is prob of sequence mj when two letters picked without replacement from {m: 1, c: 1, j: 2, x: 2}? 1/15 Calculate prob of sequence zj when two letters picked without replacement from yzysszysyayyadjay. 1/136 Four letters picked without replacement from {f: 3, l: 11}. What is prob of sequence flfl? 5/182 Four letters picked without replacement from cvaccaavcaa. What is prob of sequence aaav? 1/66 Calculate prob of sequence aan when three letters picked without replacement from {a: 2, n: 2}. 1/6 Calculate prob of sequence rkrk when four letters picked without replacement from {p: 3, r: 2, k: 8, y: 2, n: 4}. 7/5814 What is prob of sequence dph when three letters picked without replacement from dpmmfhzp? 1/168 Four letters picked without replacement from {w: 6, a: 12}. What is prob of sequence awaa? 11/102 Two letters picked without replacement from {u: 3, f: 5}. What is prob of sequence fu? 15/56 What is prob of sequence xqq when three letters picked without replacement from {x: 2, t: 8, q: 2}? 1/330 Calculate prob of sequence ff when two letters picked without replacement from {f: 5, p: 15}. 1/19 Four letters picked without replacement from eeesseu. Give prob of sequence sseu. 1/105 What is prob of sequence vgk when three letters picked without replacement from {c: 3, k: 1, g: 8, v: 6}? 1/102 Three letters picked without replacement from zooozon. What is prob of sequence zno? 4/105 Two letters picked without replacement from uuncuunwcunuw. Give prob of sequence cw. 1/39 Two letters picked without replacement from rrrrqrrrrrrrrrrrrq. Give prob of sequence qq. 1/153 Three letters picked without replacement from tyyteteteey. Give prob of sequence tte. 8/165 Four letters picked without replacement from {y: 15, s: 5}. Give prob of sequence sssy. 5/646 Two letters picked without replacement from jcwssjsjwbwssw. What is prob of sequence cb? 1/182 What is prob of sequence aka when three letters picked without replacement from akkazakkakk? 4/55 What is prob of sequence hl when two letters picked without replacement from {l: 1, h: 2}? 1/3 Three letters picked without replacement from ggghgoghgoohgh. What is prob of sequence hgg? 1/13 Calculate prob of sequence zh when two letters picked without replacement from {y: 1, c: 3, h: 9, z: 6}. 3/19 Two letters picked without replacement from {j: 9, b: 9}. What is prob of sequence jj? 4/17 Four letters picked without replacement from {l: 1, d: 6, a: 2, u: 2, c: 5}. Give prob of sequence audu. 1/1820 Two letters picked without replacement from {h: 4, o: 2, k: 1, b: 3, m: 1, u: 1}. What is prob of sequence uh? 1/33 What is prob of sequence aniv when four letters picked without replacement from hnvhannnnhvnnisnsvn? 3/10336 Two letters picked without replacement from rmvrvq. What is prob of sequence mm? 0 Three letters picked without replacement from wuwugjegejre. What is prob of sequence wjg? 1/165 What is prob of sequence mmp when three letters picked without replacement from mkqkpmmmkpkmqpp? 8/273 Calculate prob of sequence cwv when three letters picked without replacement from ccvcvvcvwv. 1/36 What is prob of sequence rtrr when four letters picked without replacement from rrrtttt? 1/35 Calculate prob of sequence slb when three letters picked without replacement from {v: 2, s: 2, l: 1, i: 1, b: 1, q: 1}. 1/168 Two letters picked without replacement from {h: 2, e: 2, z: 1, s: 1}. Give prob of sequence eh. 2/15 Calculate prob of sequence hh when two letters picked without replacement from {c: 4, y: 2, i: 8, h: 3}. 3/136 Four letters picked without replacement from vzzzvv. Give prob of sequence vvvz. 1/20 What is prob of sequence rrbr when four letters picked without replacement from {s: 3, r: 11, b: 4}? 11/204 Calculate prob of sequence ii when two letters picked without replacement from {c: 1, i: 2}. 1/3 What is prob of sequence nv when two letters picked without replacement from {n: 2, v: 18}? 9/95 What is prob of sequence ppup when four letters picked without replacement from pppuupupppppppp? 11/91 Calculate prob of sequence cc when two letters picked without replacement from pfappfpppccpffppypy. 1/171 What is prob of sequence sn when two letters picked without replacement from {s: 5, n: 3, g: 3}? 3/22 Calculate prob of sequence quu when three letters picked without replacement from pupuqqqqq. 5/252 What is prob of sequence grm when three letters picked without replacement from {r: 2, n: 1, m: 1, i: 1, s: 11, g: 2}? 1/1224 Calculate prob of sequence lli when three letters picked without replacement from wrevlrerrill. 1/220 Four letters picked without replacement from ugnguunu. Give prob of sequence nung. 1/105 Calculate prob of sequence qqqq when four letters picked without replacement from qyqgqmmqqqg. 1/22 What is prob of sequence sws when three letters picked without replacement from lslwwllllllww? 0 Two letters picked without replacement from egyaemi. Give prob of sequence me. 1/21 Three letters picked without replacement from uwwuuwbbbwwwbbww. What is prob of sequence ubw? 1/28 Three letters picked without replacement from {h: 5, c: 3, t: 1, v: 3}. What is prob of sequence cvt? 3/440 Calculate prob of sequence hu when two letters picked without replacement from mmhhhhuhujwnnmnhhh. 8/153 Two letters picked without replacement from rrdgcyjj. Give prob of sequence jy. 1/28 Four letters picked without replacement from {k: 2, h: 4, l: 2, m: 1}. What is prob of sequence hhmh? 1/126 Calculate prob of sequence rrqq when four letters picked without replacement from rqrrrqrrrrrq. 2/55 Three letters picked without replacement from {f: 4, b: 2}. Give prob of sequence fbb. 1/15 What is prob of sequence zyn when three letters picked without replacement from nptzytw? 1/210 Three letters picked without replacement from tnxnntt. Give prob of sequence ntn. 3/35 Calculate prob of sequence hvv when three letters picked without replacement from {l: 2, e: 3, v: 4, s: 2, h: 1, w: 3}. 2/455 What is prob of sequence mee when three letters picked without replacement from {m: 2, p: 2, h: 4, d: 3, q: 2, e: 2}? 2/1365 Four letters picked without replacement from {s: 1, f: 3, r: 2, b: 13}. What is prob of sequence bbsb? 143/7752 Three letters picked without replacement from {e: 4, q: 2, g: 5, z: 2, b: 1, y: 1}. What is prob of sequence eyb? 2/1365 What is prob of sequence ab when two letters picked without replacement from {m: 1, a: 1, u: 2, z: 7, x: 2, b: 1}? 1/182 What is prob of sequence sg when two letters picked without replacement from {g: 2, z: 1, s: 1, v: 2}? 1/15 Two letters picked without replacement from zzzezzzzzzwzewwzwwz. Give prob of sequence zz. 22/57 Four letters picked without replacement from uukyukummqukyu. What is prob of sequence muyq? 1/1001 Three letters picked without replacement from {i: 4, j: 2, m: 7, n: 1, l: 1, o: 3}. What is prob of sequence omj? 7/816 Calculate prob of sequence lc when two letters picked without replacement from {l: 3, q: 1, c: 2, u: 1}. 1/7 What is prob of sequence ax when two letters picked without replacement from xkxajazj? 1/14 What is prob of sequence il when two letters picked without replacement from illl? 1/4 Three letters picked without replacement from {z: 5, o: 9}. What is prob of sequence zoz? 15/182 Two letters picked without replacement from nnngngngngngn. What is prob of sequence nn? 14/39 Four letters picked without replacement from fffff. What is prob of sequence ffff? 1 What is prob of sequence wadd when four letters picked without replacement from sswddsss
{ "pile_set_name": "DM Mathematics" }
37600 a multiple of 47? True Is 10 a factor of 11380050? True Does 322 divide 432124? True Is 646194 a multiple of 314? False Does 10 divide 317710? True Is 17 a factor of 1593087? True Is 255 a factor of 44088? False Is 3 a factor of 54039? True Is 470 a factor of 310915? False Does 259 divide 384760? False Does 72 divide 79873? False Is 86559 a multiple of 61? True Is 207522 a multiple of 14? True Is 11 a factor of 36450? False Does 20 divide 52400? True Is 31175 a multiple of 29? True Is 590937 a multiple of 6? False Is 102453 a multiple of 213? True Does 69 divide 266384? False Does 72 divide 948024? True Is 18 a factor of 1133547? False Is 10 a factor of 57686? False Is 52 a factor of 7077584? False Is 95 a factor of 316593? False Does 296 divide 7346777? False Is 111 a factor of 11861127? True Does 31 divide 1898554? False Is 230 a factor of 4087790? True Is 1518593 a multiple of 255? False Is 1363559 a multiple of 218? False Is 64342 a multiple of 200? False Does 23 divide 203922? False Is 6 a factor of 4954692? True Is 74632 a multiple of 47? False Does 770 divide 1325789? False Is 3762900 a multiple of 222? True Is 185432 a multiple of 13? True Is 1012 a factor of 16333680? True Is 4206665 a multiple of 21? False Is 3910234 a multiple of 164? False Is 65 a factor of 245050? True Is 17 a factor of 289? True Is 23 a factor of 264415? False Is 148608 a multiple of 9? True Does 49 divide 4367? False Does 22 divide 47850? True Is 8 a factor of 49267? False Does 36 divide 10869? False Is 228 a factor of 190265? False Is 118 a factor of 155354? False Does 19 divide 918137? True Is 1917 a factor of 2482515? True Is 45 a factor of 1125534? False Does 8 divide 117402? False Is 16 a factor of 10381680? True Is 137130 a multiple of 6? True Is 24530 a multiple of 5? True Does 58 divide 361340? True Does 29 divide 492797? True Does 14 divide 65852? False Is 96 a factor of 184032? True Is 60 a factor of 201540? True Is 241466 a multiple of 58? False Does 16 divide 3816384? True Is 43 a factor of 214557? False Is 55 a factor of 19900595? True Does 46 divide 219174? False Does 21 divide 325332? True Is 325891 a multiple of 97? False Does 8 divide 245965? False Is 5688581 a multiple of 14? False Is 29 a factor of 4912701? False Is 756 a factor of 2308068? True Is 10395582 a multiple of 74? False Is 356551 a multiple of 13? True Is 1134939 a multiple of 9? False Is 419 a factor of 12653? False Is 51 a factor of 12119391? False Is 94872 a multiple of 24? True Is 40 a factor of 1809360? True Is 347320 a multiple of 4? True Is 51259 a multiple of 23? False Does 160 divide 316320? True Is 26452 a multiple of 8? False Is 597 a factor of 614174? False Is 206 a factor of 1025674? True Is 300779 a multiple of 217? False Does 828 divide 7922304? True Is 10 a factor of 37410? True Is 455685 a multiple of 5? True Is 10 a factor of 40373? False Does 180 divide 19800? True Does 99 divide 354618? True Is 16 a factor of 180816? True Is 19 a factor of 274740? True Is 23 a factor of 5311? False Does 32 divide 260352? True Does 251 divide 141815? True Is 347438 a multiple of 91? True Is 19 a factor of 2085136? True Is 89 a factor of 104397? True Is 6594318 a multiple of 29? False Does 657 divide 3586563? True Is 811170 a multiple of 7? False Is 149 a factor of 367742? False Is 944208 a multiple of 459? False Is 98 a factor of 171660? False Does 323 divide 83334? True Does 86 divide 1186171? False Does 161 divide 182903? False Is 15666 a multiple of 42? True Is 88 a factor of 408584? True Does 83 divide 34150? False Does 96 divide 358425? False Is 49350 a multiple of 15? True Does 3 divide 85857? True Is 96 a factor of 596928? True Does 220 divide 3619715? False Is 1267175 a multiple of 91? True Is 10 a factor of 1042355? False Is 398084 a multiple of 200? False Is 6798 a multiple of 5? False Does 17 divide 6472449? False Is 1430858 a multiple of 13? True Is 118647 a multiple of 8? False Is 5952042 a multiple of 81? True Does 183 divide 1685105? False Does 16 divide 172976? True Is 3036635 a multiple of 35? True Is 38 a factor of 6574? True Does 97 divide 141152? False Is 23 a factor of 102856? True Is 2723072 a multiple of 5? False Is 4224575 a multiple of 154? False Does 74 divide 136530? True Is 104 a factor of 9256? True Does 95 divide 849823? False Is 218 a factor of 958328? True Is 27 a factor of 148200? False Is 90 a factor of 18000? True Does 385 divide 1712865? True Does 93 divide 1425504? True Is 2362353 a multiple of 161? True Is 1916586 a multiple of 882? True Does 173 divide 4044664? False Does 96 divide 12899520? True Does 37 divide 171088? True Does 33 divide 3653026? False Does 397 divide 14296? False Is 2093546 a multiple of 7? True Is 1769580 a multiple of 14? False Is 156468 a multiple of 52? True Does 82 divide 2660162? True Is 300950 a multiple of 23? False Does 56 divide 6394809? False Is 608552 a multiple of 7? True Is 15 a factor of 7455? True Is 744983 a multiple of 77? False Is 347906 a multiple of 73? False Does 89 divide 606357? True Is 105643 a multiple of 6? False Is 167 a factor of 50434? True Is 113 a factor of 1695113? True Is 337374 a multiple of 30? False Is 37 a factor of 77573? False Is 219 a factor of 18093780? True Is 1323569 a multiple of 901? True Does 19 divide 1795333? False Is 1042514 a multiple of 62? False Is 10461233 a multiple of 271? False Is 85017 a multiple of 12? False Is 44 a factor of 1183248? True Is 648144 a multiple of 27? False Does 400 divide 28762? False Is 31 a factor of 50714? False Does 1144 divide 3139842? False Is 34 a factor of 1201305? False Is 848715 a multiple of 685? True Does 34 divide 6921509? False Is 32 a factor of 5298043? False Is 24 a factor of 165408? True Is 35 a factor of 4588834? False Is 1349843 a multiple of 73? True Does 81 divide 1096641? False Is 12 a factor of 438316? False Is 682 a factor of 459931? False Is 9 a factor of 818144? False Is 11791638 a multiple of 6? True Is 627776 a multiple of 329? False Is 153 a factor of 15800004? True Does 12 divide 127836? True Is 9 a factor of 77231? False Is 5 a factor of 140? True Is 141 a factor of 2471448? True Is 30315038 a multiple of 2712? False Does 24 divide 14688? True Does 17 divide 20468? True Is 274 a factor of 969877? False Is 31233 a multiple of 87? True Is 32 a factor of 3039635? False Is 709 a factor of 4275979? True Is 119 a factor of 2030034? False Is 4 a factor of 100692? True Does 9 divide 310860? True Is 16 a factor of 2107023? False Does 16 divide 2117184? True Does 242 divide 220463? False Is 2365649 a multiple of 250? False Does 12 divide 258166? False Does 14 divide 377552? True Is 49476 a multiple of 42? True Does 22 divide 1810380? True Is 38 a factor of 717399? False Is 91635 a multiple of 149? True Is 2636405 a multiple of 23? False Does 233 divide 3728? True Is 28 a factor of 91131? False Is 2911557 a multiple of 45? False Does 35 divide 5264455? True Is 1177 a factor of 13301054? False Is 307 a factor of 204155? True Does 42 divide 92038? False Is 408480 a multiple of 111? True Is 158 a factor of 1626768? True Is 739 a factor of 1093430? False Does 80 divide 35791? False Is 111812 a multiple of 196? False Is 392087 a multiple of 36? False Is 178942 a multiple of 19? True Does 9 divide 7468299? True Is 274 a factor of 3037564? True Is 18 a factor of 383308? False Is 100 a factor of 1131100? True Does 14 divide 19516? True Is 1345617 a multiple of 7? True Does 35 divide 3922590? True Does 594 divide 3623994? True Is 361536 a multiple of 521? False Is 552428 a multiple of 240? False Is 195855 a multiple of 20? False Is 2668062 a multiple of 5? False Does 32 divide 25728? True Is 49234 a multiple of 42? False Does 12 divide 2537608? False Does 79 divide 770171? True Is 1144858 a multiple of 186? False Is 6 a factor of 273430? False Is 3517428 a multiple of 628? True Is 87 a factor of 1390719? False Is 37 a factor of 45994? False Is 3 a factor of 19450? False Is 22 a factor of 109450? True Does 3 divide 1603? False Is 24 a factor of 498600? True Does 90 divide 364310? False Is 16 a factor of 303992? False Does 36 divide 4207680? True Is 267 a factor of 502729? False Is 588 a factor of 802528? False Is 1767 a factor
{ "pile_set_name": "DM Mathematics" }
910 and 2134. 194 Calculate the greatest common factor of 297 and 1067. 11 Calculate the highest common factor of 3086 and 2. 2 What is the greatest common factor of 11523 and 207? 69 Calculate the highest common factor of 112 and 1358. 14 Calculate the highest common divisor of 19 and 247. 19 What is the greatest common divisor of 29 and 16501? 29 What is the highest common divisor of 3825 and 153? 153 Calculate the highest common factor of 5440 and 2240. 320 What is the highest common divisor of 216 and 384? 24 Calculate the greatest common factor of 60 and 1740. 60 Calculate the highest common divisor of 53 and 12879. 53 Calculate the highest common divisor of 365 and 73. 73 What is the highest common factor of 152 and 24? 8 Calculate the highest common divisor of 3888 and 80. 16 Calculate the highest common factor of 423 and 3. 3 What is the greatest common factor of 9731 and 111? 37 Calculate the highest common factor of 2669 and 17. 17 What is the greatest common factor of 10 and 290? 10 Calculate the greatest common divisor of 5616 and 6. 6 What is the greatest common divisor of 80 and 48? 16 What is the highest common divisor of 7062 and 330? 66 Calculate the greatest common factor of 225 and 90. 45 Calculate the greatest common factor of 57 and 361. 19 What is the greatest common divisor of 420 and 2625? 105 Calculate the greatest common factor of 4 and 10. 2 What is the highest common factor of 2291 and 87? 29 Calculate the greatest common factor of 60 and 1308. 12 Calculate the highest common divisor of 188 and 8. 4 Calculate the greatest common divisor of 9 and 1341. 9 What is the greatest common divisor of 78 and 18? 6 Calculate the greatest common divisor of 6439 and 1096. 137 What is the highest common divisor of 7 and 189? 7 Calculate the highest common factor of 3116 and 2. 2 Calculate the highest common divisor of 48 and 2224. 16 Calculate the highest common divisor of 1836 and 264. 12 What is the highest common divisor of 590 and 10? 10 What is the highest common divisor of 64 and 176? 16 What is the greatest common divisor of 15 and 215? 5 What is the greatest common factor of 1460 and 24? 4 What is the greatest common factor of 50 and 12275? 25 Calculate the highest common divisor of 1232 and 448. 112 What is the highest common factor of 50 and 430? 10 What is the highest common factor of 1045 and 55? 55 What is the highest common divisor of 195 and 90? 15 What is the highest common factor of 25 and 1175? 25 Calculate the highest common divisor of 1225 and 343. 49 Calculate the highest common divisor of 5 and 785. 5 Calculate the highest common factor of 88 and 33. 11 What is the greatest common factor of 2604 and 504? 84 Calculate the highest common factor of 3795 and 11. 11 Calculate the greatest common divisor of 96 and 216. 24 Calculate the greatest common divisor of 1352 and 8. 8 Calculate the greatest common divisor of 9500 and 19. 19 Calculate the highest common divisor of 85 and 68. 17 Calculate the highest common divisor of 713 and 31. 31 Calculate the highest common factor of 464 and 32. 16 Calculate the highest common divisor of 170 and 30. 10 Calculate the highest common divisor of 8304 and 432. 48 Calculate the highest common divisor of 2322 and 378. 54 What is the highest common divisor of 13 and 1? 1 What is the greatest common factor of 3 and 13? 1 What is the highest common factor of 18 and 99? 9 What is the greatest common factor of 963 and 162? 9 Calculate the highest common divisor of 4824 and 264. 24 Calculate the highest common divisor of 121 and 1111. 11 What is the highest common divisor of 31 and 19127? 31 What is the highest common divisor of 3887 and 23? 23 Calculate the greatest common divisor of 168 and 420. 84 Calculate the highest common factor of 32 and 256. 32 Calculate the highest common factor of 860 and 10. 10 Calculate the highest common factor of 840 and 42. 42 What is the greatest common divisor of 21 and 67368? 21 Calculate the greatest common factor of 63 and 54. 9 What is the greatest common divisor of 3589 and 74? 37 Calculate the greatest common factor of 7781 and 155. 31 Calculate the greatest common divisor of 230 and 170. 10 Calculate the greatest common divisor of 2336 and 32. 32 Calculate the greatest common factor of 12 and 276. 12 Calculate the highest common divisor of 3894 and 132. 66 Calculate the highest common divisor of 108 and 189. 27 What is the greatest common divisor of 85 and 2645? 5 What is the greatest common divisor of 2013 and 33? 33 Calculate the highest common divisor of 378 and 56. 14 Calculate the greatest common divisor of 1026 and 18. 18 What is the greatest common divisor of 24 and 84? 12 Calculate the greatest common divisor of 130 and 2080. 130 Calculate the highest common factor of 7125 and 50. 25 What is the greatest common factor of 16 and 176? 16 What is the greatest common factor of 2279 and 215? 43 What is the highest common divisor of 110 and 10285? 55 Calculate the highest common factor of 46 and 161. 23 What is the highest common divisor of 80 and 60? 20 What is the highest common factor of 29 and 42833? 29 Calculate the highest common factor of 8454 and 18. 6 Calculate the greatest common factor of 7935 and 60. 15 What is the greatest common factor of 299 and 46? 23 Calculate the highest common factor of 528 and 462. 66 What is the highest common factor of 13 and 208? 13 What is the highest common divisor of 273 and 143? 13 What is the highest common factor of 29268 and 18? 18 What is the highest common factor of 35 and 540? 5 Calculate the greatest common divisor of 14 and 161. 7 Calculate the greatest common divisor of 130 and 30. 10 What is the greatest common factor of 56 and 238? 14 Calculate the greatest common divisor of 665 and 105. 35 Calculate the greatest common divisor of 5047 and 49. 49 Calculate the highest common divisor of 1300 and 500. 100 What is the highest common divisor of 24 and 536? 8 What is the greatest common factor of 5 and 215? 5 What is the highest common divisor of 13 and 6188? 13 Calculate the greatest common divisor of 148 and 259. 37 Calculate the greatest common factor of 122 and 12322. 122 What is the greatest common factor of 45 and 30? 15 Calculate the highest common factor of 10404 and 459. 153 Calculate the highest common factor of 728 and 520. 104 Calculate the highest common factor of 851 and 111. 37 Calculate the greatest common divisor of 11 and 2629. 11 Calculate the highest common factor of 1820 and 35. 35 Calculate the greatest common factor of 12 and 960. 12 What is the greatest common divisor of 177 and 4779? 177 Calculate the highest common factor of 25 and 75. 25 Calculate the highest common divisor of 3573 and 36. 9 Calculate the highest common factor of 625 and 50. 25 Calculate the greatest common factor of 931 and 19. 19 What is the highest common divisor of 13 and 832? 13 What is the greatest common divisor of 198 and 180? 18 What is the greatest common divisor of 29 and 27028? 29 Calculate the highest common divisor of 26 and 4. 2 Calculate the greatest common divisor of 436 and 2725. 109 Calculate the greatest common divisor of 1479 and 51. 51 Calculate the greatest common factor of 100 and 40. 20 Calculate the highest common factor of 117 and 729. 9 Calculate the highest common divisor of 215 and 5. 5 Calculate the greatest common divisor of 160 and 8. 8 What is the highest common factor of 1872 and 72? 72 What is the greatest common factor of 29 and 667? 29 What is the highest common divisor of 10 and 4295? 5 What is the greatest common divisor of 13 and 793? 13 Calculate the highest common factor of 55 and 143. 11 Calculate the highest common divisor of 147 and 273. 21 Calculate the highest common divisor of 357 and 1632. 51 What is the greatest common factor of 111 and 1517? 37 Calculate the greatest common divisor of 240 and 6. 6 Calculate the highest common divisor of 36 and 3078. 18 What is the highest common divisor of 1280 and 140? 20 What is the greatest common divisor of 128 and 74? 2 What is the highest common factor of 507 and 117? 39 Calculate the greatest common factor of 49 and 70. 7 Calculate the greatest common factor of 51 and 27. 3 Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
o? 6 Let o(w) be the second derivative of -w**5/4 - w**3/6 - w**2/2 + 3*w. Let u be o(-1). Suppose -u*k + 127 = -18. What is the tens digit of k? 2 Suppose 4*a + 7*f - 1648 = 5*f, 2*a - 832 = -5*f. What is the units digit of a? 1 Let x = -381 + 1115. What is the tens digit of x? 3 Let a(y) = 441*y - 1. Let u be a(1). Suppose -7*w + 4*w + 15 = 0, -u = -3*x + 5*w. Suppose 0 = n - 5, 4*n - n = 5*h - x. What is the tens digit of h? 3 Let o be (5/(-15))/(2/(-246)). Let q = o - 22. Let f = 34 + q. What is the units digit of f? 3 What is the units digit of 1078 - ((-60)/(-100))/(6/50)? 3 Let i(j) = -j + 11. Let g be i(7). Suppose -4*c + c - g*v + 324 = 0, 0 = -c - 2*v + 106. Suppose -3*f - f = 4*z - c, 0 = -4*f + 8. What is the units digit of z? 6 Suppose 0 = -4*m + 1 + 11, -4*m = -q - 12. Suppose 5*g + q*g - 75 = -3*b, -2*b = -5*g + 50. What is the units digit of g? 2 Suppose 2*c - 2428 = -3*c + 2*f, -4*c + 1956 = -5*f. What is the units digit of c? 4 What is the tens digit of 15/(-4)*(-832)/(-36)*-3? 6 Let y(r) = -5*r - 1 - 9*r + 1. Let h be y(-6). Suppose 0 = -3*c + 30 + h. What is the tens digit of c? 3 Let q = 33 - 5. Let u = 41 - q. Suppose -l + 0*l = -u. What is the tens digit of l? 1 Let m(p) = -214*p**3 + p**2 + 2*p + 1. What is the tens digit of m(-1)? 1 Suppose 0 = -2*g + 4*m + 3726, m + 7517 = 4*g + 6*m. What is the hundreds digit of g? 8 What is the units digit of 451 + (1 - -2) - 1? 3 What is the units digit of (-19860)/45*3/(-2)? 2 Suppose -14 = 3*g - g. Suppose -2*m = 3*o - 3 + 4, 18 = 3*m - 2*o. Let x = m - g. What is the tens digit of x? 1 Let p(o) = 3*o**3 - 18*o**2 + 2*o + 6. What is the hundreds digit of p(9)? 7 Let k(v) = -2*v - 5 - 4 + 1 + 2. Let a be k(-3). Suppose a = 3*g + 4*l + 2, l - 4*l + 9 = 4*g. What is the units digit of g? 6 Let k be (24/2)/(18/9). Let i(u) = -4*u**2 - 6*u - 7. Let q(o) = 5*o**2 + 7*o + 7. Let p(h) = k*i(h) + 5*q(h). What is the tens digit of p(-4)? 1 Let o(i) = 136*i + 2. Let p be o(1). Let g(y) = 3*y - 6. Let q be g(5). Suppose q*w = 2*l + 5*w - p, 0 = -5*l + 3*w + 380. What is the units digit of l? 9 Let s be 3 - (0 + 895)/5. Let j = s - -256. What is the units digit of j? 0 Suppose 0 = -10*z + 8*z + 716. Suppose 4*u - z = -78. What is the units digit of u? 0 Suppose 2*a + 63 + 61 = 0. Let g = -12 - a. What is the units digit of g? 0 Suppose -5*u + 131 = -539. Let m = 196 - u. Suppose m = 3*b - b. What is the units digit of b? 1 Suppose 7*y - 2*y + 3*k - 11748 = 0, -6*y + 14120 = -2*k. What is the units digit of y? 2 Let a(f) = -11*f - 3. Let p be a(-2). Suppose 5*y + p = -21. Let q = y - -34. What is the tens digit of q? 2 Let z(d) = -13*d - 15. Let a(c) = 13*c + 15. Let k(x) = -6*a(x) - 7*z(x). What is the units digit of k(4)? 7 Let v = 7 - 5. Let w(d) = 6*d - 2. Let b be w(v). Let t = 40 - b. What is the units digit of t? 0 Let o be ((-12)/(-30))/((-3)/75). Let w = o + 62. What is the tens digit of w? 5 Let u be ((-106)/(-4) - -1)/((-2)/(-28)). Suppose 0 = -3*q + 5*q + 3*v - u, 3*v = 4*q - 743. What is the units digit of q? 8 Suppose 0 = 4*z + 2*j - 26, j = -5*z + 14 + 14. Suppose z*r = -3*p - 5, -2*p - 5*r = 2*p. What is the units digit of p? 5 Let z(j) be the second derivative of 7*j**4/12 + j**2/2 + 11*j. What is the units digit of z(2)? 9 Let a(m) be the third derivative of m**5/30 - 11*m**4/24 - m**3/6 - 15*m**2. What is the tens digit of a(8)? 3 Let m(w) = w**3 + 17*w**2 - 9*w + 41. What is the units digit of m(-17)? 4 Let s(c) = 2*c**2 + 13*c + 14. Let a be 1*((-50)/5 - -1). What is the tens digit of s(a)? 5 Let m(d) = -4 - 9 - 54*d + 4*d**2 + 69*d. What is the units digit of m(-11)? 6 Let p(n) be the third derivative of n**5/60 - n**3/3 - 18*n**2. What is the units digit of p(10)? 8 Let i = 482 + -480. Suppose 5*h - 41 = 19. What is the units digit of (-1 - i)/(h/(-64))? 6 Let s(f) = 2*f**2 - 6*f**2 + 3*f**2 - 7*f + 7. Let p be s(-7). Let y = 1 + p. What is the units digit of y? 8 Suppose -8*b + 0*b + 3360 = 0. What is the hundreds digit of b? 4 Let x = 7 + -4. Let r = x + -4. Let u = r - -14. What is the units digit of u? 3 Let v = -1880 + 3587. What is the units digit of v? 7 Suppose -p = -5*f + 406, -p - 4*p + 2*f = 2145. Let u = p + 636. What is the tens digit of u? 0 Let n(w) = 4*w - 16. Let l be n(5). Suppose -l*p = -7*p - 126. Let d = -14 - p. What is the units digit of d? 8 Suppose -3*c = -4*c + 26. Suppose p - c = -p. What is the tens digit of p? 1 Suppose -35647 - 21253 = -50*n. What is the tens digit of n? 3 Let m be (-4)/10 - (-196)/(-10). Let n = m + 57. What is the units digit of n? 7 Suppose -3*d - 332 = -4*d. Suppose 4*i - 415 = -5*x, 3*x + x - 3*i - d = 0. What is the tens digit of x? 8 Let a(z) = -z**3 - 9*z**2 - 21*z - 13. Let i be a(-6). Suppose c = 3*d - 760, -2*d - i*c + 535 = -0*d. What is the units digit of d? 5 Let n = 102 - 60. Suppose -6*j - n = -9*j. Suppose -6 = -j*h + 11*h. What is the units digit of h? 2 Let y(l) = 5*l**2 - 7*l + 6. Let i be y(5). Suppose -3*v = v - i. What is the units digit of v? 4 Let r(j) = -j**3 + 5*j**2 - 2*j - 4. Let l be r(3). Let k = 53 - 53. What is the tens digit of l - ((-4)/2 + k)? 1 Let x(r) = -3*r**3 - 9*r**2 - 41*r - 46. What is the units digit of x(-11)? 9 Suppose 0 = -73*l + 109*l - 51660. What is the hundreds digit of l? 4 Let p(u) = 13*u**2 + 44*u + 581. What is the hundreds digit of p(-21)? 3 Suppose -30*z + 6468 = -6792. What is the tens digit of z? 4 Suppose 2*q + 2*o + 34 = 7*q, -5*q + o = -37. Suppose q*s + 2 = 6*s. Let b(k) = -30*k**3. What is the units digit of b(s)? 0 Suppose -9*y + 4*c - 508 = -12*y, 4*c = 3*y - 524. Let m be ((-3)/(-9))/(1/159). Suppose -m = -5*i + y. What is the units digit of i? 5 Let a = -65 + 152. Let s = a - 28. What is the units digit of s? 9 Suppose 0 = -4*y - 0*y - 4. Let v(d) = 0*d + 250 + 33*d**2 + 3*d - 248. What is the units digit of v(y)? 2 Suppose -664 = -0*b - 8*b. Let k = -52 + b. What is the units digit of k? 1 What is the units digit of 582*(2/4 - (11 - 11))? 1 Suppose 3*s - 2*g - 16 = -g, 3*g - 12 = -s. Let i(a) = 4*a**2 - 15*a + 5. What is the tens digit of i(s)? 5 Let a = -896 - -1332. What is the units digit of a? 6 Suppose -2*a + 3*p + 6922 = 0, 48*a = 52*a - 2*p - 13828. What is the hundreds digit of a? 4 Let r = 289 + -507. Let w = -99 - r. What is the hundreds digit of w? 1 Let w(f) = -f**2 + 9*f + 6. Let q(y) = -2*y + 3. Let m be q(-2). Let x be w(m). Suppose -x = 3*n - 4*n. What is the units digit of n? 0 Let v(x) = -23*x**2 + 1. Let h be v(-1). Suppose -w - 2*w = -3*c + 42, w - 3*c = -16. Let u = w - h. What is the units digit of u? 9 Let s be (-12)/(-9)*(-162)/(-12). Let a be (-1 - 1)/(12/s). What is the tens digit of (-351)/(-18) + a/2? 1 Let h(n) = 13*n + 62. What is the hundreds digit of h(17)? 2 Suppose -4*f + 126 = -434. What is the hundreds digit of f? 1 Suppose -2 = 5*d - 17. Suppose 0 = -d*h + 12*h - 702. What is the units digit of h? 8 Suppose 0 = -t - 6 + 9. Suppose 4*g + 795 = 5*z, -3*z - 4*g + t*g = -477. What is the units digit of z? 9 Suppose 5*q + 674 = 3*x - 1937, -4369 = -5*x + 4*q. What is the tens digit of x? 7 Let n(m) = m**2 - 18*m - 16. Let w be n(-14). Let j = w + -183. What is the tens digit of j? 4 Let i(m) = m**3 - m**2 - 11*m + 1. Let f be i(4). Suppose 0 = c - 14. Suppose -n + c - f = 0. What is the units digit of n? 9 Let h = 767 - 249. What is the hundreds digit of h? 5 Let y(t) = 14*t**3 - 4*t**2 - 4*t + 39. What is the hundreds digit of y(3)? 3 Suppose 5*z - 27368 = -5*y - 2058, 0 = -y - 4*z + 5056. What is the units digit of y? 4 Suppose u - 6 = 5*v - 104, 5*u = 10. Suppose -4*a + 596 = 2*g, -7*g = -2*g + v. What is the units digit of a? 1 Suppose -2*s = -4*s + 4. Let i(x) = -x**3 + 11*x**2 - 7*x + 2. Let g be i(10). What is the units digit of g - (2 - -2) - s? 6 Let b be 3/9 + (-56)/(-12). Suppose 7 = -b*q - 68. Let w(s) = s**3 + 14*s**2 - 15*s + 3. What is the units digit of w(q)? 3 Let s(z) be the second derivative of -31*z**3/3 + z**2 + 7*z. What is the tens digit of s(-1)? 6 Let v(i) = -4*i. Let b = 11 - 14. Let r be v(b). Suppose r = -c + 39. What is the tens digit of c? 2 Suppose 10*c = 3829 + 2181. What is the hundreds digit of c? 6 Let z(m) = -9*m + 9. Let a be z(-5). Suppose -j = -3*j + a. Let g = j - 13. What is the
{ "pile_set_name": "DM Mathematics" }
2*sqrt(3)) + sqrt(9) + sqrt(9)*-2*-4))**2. 10944/289 Simplify (-3 + (sqrt(128) - (1 + sqrt(128) - sqrt(128))) + 4)**2 + (sqrt(128) + -2*sqrt(128) + -4 - (-2 + -2*sqrt(128)))**2 + -5. -32*sqrt(2) + 255 Simplify (sqrt(256) + sqrt(256)*-2)/(sqrt(6)/sqrt(3)*5) - (sqrt(2) - (sqrt(32) + 0)**2 - sqrt(14)/(sqrt(35)/sqrt(5))). -8*sqrt(2)/5 + 32 Simplify (((sqrt(209) + (sqrt(209) + -2*sqrt(209))*-3 + sqrt(209))*4)/((4*2*sqrt(66))/sqrt(6)))**2. 475/4 Simplify -1 + -1 + sqrt(11) + sqrt(11) + sqrt(11)*-1*6 + (-3*(sqrt(396) + 0 + sqrt(396) + sqrt(396)) + sqrt(396) - sqrt(396))**2. -4*sqrt(11) + 32074 Simplify 0 + ((sqrt(144)/sqrt(3))/sqrt(2))/(-2*sqrt(48)). -sqrt(2)/4 Simplify ((sqrt(30) + sqrt(270))/sqrt(10))**2*6 + sqrt(216)/sqrt(8) + sqrt(21)/(-1*sqrt(7)). 2*sqrt(3) + 288 Simplify sqrt(171)/(6*sqrt(144)) - (1*sqrt(19)*-2 - (sqrt(304) - (sqrt(304) + 1) - sqrt(19))). -1 + 25*sqrt(19)/24 Simplify ((sqrt(792)*-2 + sqrt(792) + sqrt(792) + sqrt(792))/sqrt(11) - (-2 + sqrt(72) + 3))**2. 1 Simplify -3 + (2 + sqrt(1100)*3 - (sqrt(1100) + sqrt(1100) + (-5 + 5*sqrt(1100))**2)). -27526 + 510*sqrt(11) Simplify (sqrt(20)/(sqrt(16)/sqrt(4)) + 4 - -3*-1*sqrt(5)*-6)**2*-6. -10926 - 912*sqrt(5) Simplify ((sqrt(52) - 6*sqrt(208)) + (2*sqrt(468) - sqrt(468)) + -1)**2 + -5. 32*sqrt(13) + 3324 Simplify 5 + 0 + sqrt(11)*1 + 4 + (1 + -1 + sqrt(1331) + -1)**2. -21*sqrt(11) + 1341 Simplify -2 + (sqrt(76) + -1*(sqrt(76) + 3*sqrt(76)))/(4*sqrt(144) + sqrt(144)). -2 - sqrt(19)/10 Simplify (3*(sqrt(99)*2 + sqrt(99))*-5)/(4*sqrt(18)/(sqrt(6)/sqrt(3))). -45*sqrt(11)/4 Simplify 1*sqrt(143)/(sqrt(121)/(5*sqrt(11) + sqrt(11)))*5. 30*sqrt(13) Simplify (sqrt(768)*-1 + -4 + 4*sqrt(768)*-2)**2. 1152*sqrt(3) + 62224 Simplify (-1*(1 + 5 + 3*sqrt(8) + 5 + 4))**2. 180*sqrt(2) + 297 Simplify 1*((sqrt(153) - 3*sqrt(153)) + -3) - (sqrt(153) + (0 + sqrt(153))*-2 + -2 + (sqrt(153) + 0 - sqrt(153)) + sqrt(153)). -6*sqrt(17) - 1 Simplify -1 + (sqrt(539) + -1)**2 + -3 - -3*(sqrt(539) + sqrt(539) + (sqrt(539) - ((4 + 2*sqrt(539) + sqrt(539))**2 - sqrt(539)))). -14065 - 434*sqrt(11) Simplify ((sqrt(84)/sqrt(4)*5*5)/((sqrt(140) + sqrt(35) + sqrt(35))/sqrt(5) + sqrt(7) - 4*sqrt(7)*1))**2. 1875 Simplify (-4 + -5 + sqrt(77)/((sqrt(110) + sqrt(110) + sqrt(110)*1 + sqrt(110))/sqrt(10)))**2. -9*sqrt(7)/2 + 1303/16 Simplify -2 + -6*(sqrt(7) + sqrt(49)/sqrt(28) + 6*(sqrt(7) + sqrt(28)/sqrt(4)))**2 + -3. -15319/2 Simplify (-2*2*sqrt(104))/((sqrt(32)*-1)/sqrt(4)) + -1. -1 + 4*sqrt(13) Simplify (sqrt(20) + sqrt(320)*5 + -2)**2 + 0. -168*sqrt(5) + 8824 Simplify (-3*(sqrt(112) + 0)*-6 + -4)**2. -576*sqrt(7) + 36304 Simplify ((sqrt(891) + (1 + sqrt(891))*2 - sqrt(891)) + -3 - (sqrt(2200) + (sqrt(2200) - sqrt(2200)*1) + sqrt(2200) + sqrt(2200))/(sqrt(6)/sqrt(3)*-6))**2. -46*sqrt(11) + 5820 Simplify (-5*sqrt(57)/sqrt(3))**2*-5*5 - ((sqrt(152)/(sqrt(24)/sqrt(3)) - (2 + sqrt(57)/sqrt(3))) + 5). -11878 Simplify -5 + 3 + sqrt(147) + (sqrt(147) + -1)*2 + 5*(-1 + sqrt(147)). -9 + 56*sqrt(3) Simplify (-5 + -5 + 0 + sqrt(1300) + 1*sqrt(1300)*6 + 1 + (sqrt(1300) - (0 + sqrt(1300))))**2. -1260*sqrt(13) + 63781 Simplify (((sqrt(2106) + sqrt(2106)*2 - sqrt(2106) - sqrt(2106)) + sqrt(2106))*6)/(sqrt(18) + (sqrt(1800) - 3*sqrt(1800))). -36*sqrt(13)/19 Simplify (6*(1 + sqrt(448)) + sqrt(448) + 1*(sqrt(448) + (sqrt(448)*2 - sqrt(448))) + -3*(sqrt(448) + -1 + sqrt(448))*-4 + 2)**2. -2112*sqrt(7) + 487888 Simplify -3*(sqrt(68) + sqrt(68)*-1*6) + ((sqrt(68) - (1 + sqrt(68) + -4)) + sqrt(68))**2 + sqrt(68) + 2. 79 + 44*sqrt(17) Simplify -5 + 4 + -4 + sqrt(336)/(sqrt(7) + sqrt(28) - sqrt(7)). -5 + 2*sqrt(3) Simplify -5 + (0 + sqrt(2299))**2 + sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299))*1 - ((sqrt(2299) + -2)*1 + sqrt(2299) + (sqrt(2299)*-2 + 3 - sqrt(2299))**2). -18403 + 187*sqrt(19) Simplify (sqrt(204)/(sqrt(600)/sqrt(2)) + sqrt(833) + 1 + 3)**2. 288*sqrt(17)/5 + 22432/25 Simplify (sqrt(495) + -2*sqrt(495) - sqrt(55))/(sqrt(5) + sqrt(245)*5)*2. -2*sqrt(11)/9 Simplify (5*(-1 + sqrt(180) + 1 + (sqrt(180) - (sqrt(180) + 2)) + 5 + 1))**2. 1200*sqrt(5) + 4900 Simplify sqrt(4)/sqrt(2) + 5 + ((-1*sqrt(20))/sqrt(10) - sqrt(2)) + (5 + (sqrt(72) + 3 + sqrt(72) - sqrt(72)))**2. 95*sqrt(2) + 141 Simplify (sqrt(156) - (sqrt(156) - 4*sqrt(156))*4)/(sqrt(972)*-1) + -4. -13*sqrt(13)/9 - 4 Simplify 2*sqrt(260)/sqrt(45) + 2. 2 + 4*sqrt(13)/3 Simplify (-6*-3*sqrt(10))/(sqrt(200)*5 + sqrt(200)). 3*sqrt(5)/10 Simplify ((3*(5 + sqrt(19)) - (2 + sqrt(475))) + 5)**2*2. -144*sqrt(19) + 800 Simplify ((-5 + 4 + (sqrt(1331) - 2*sqrt(1331)*-2))*-4)**2*-4. -2129664 + 7040*sqrt(11) Simplify -6*(-2*(-2*((sqrt(425)*1 - sqrt(425)) + sqrt(425)) + (sqrt(425)*1 + -1 - sqrt(425))))**2. -40824 - 480*sqrt(17) Simplify ((sqrt(700) + 1 + sqrt(700))*6 + (-2*sqrt(504) + sqrt(504) - sqrt(504))/sqrt(8))**2*2. 2736*sqrt(7) + 182016 Simplify 4*(1*(sqrt(30) - sqrt(30)*-1))/(-2*-1*sqrt(6) - sqrt(6))*2. 16*sqrt(5) Simplify (-2 + (sqrt(54)/sqrt(2)*-1 - (3 + sqrt(108)/sqrt(4))))**2. 60*sqrt(3) + 133 Simplify 2*4*(sqrt(11) + (sqrt(110) + sqrt(110)*-1)/sqrt(10))**2 - (-1 + sqrt(891)*-1)*-1. -9*sqrt(11) + 87 Simplify ((sqrt(525) + sqrt(525)*1 - 1*sqrt(2541))/((sqrt(7) + (6*(sqrt(7) - sqrt(7)*1) - sqrt(7)) - sqrt(7)) + sqrt(7) - sqrt(1008)*1))**2. 1/48 Simplify (((sqrt(7) + sqrt(28)/(sqrt(20)/sqrt(5)))*5)**2 - ((sqrt(7) + (2*sqrt(7)*-3 - sqrt(7))**2 - sqrt(7)) + (-1*sqrt(448))**2 + sqrt(448)))*2. -182 - 16*sqrt(7) Simplify (-4 + -4*sqrt(320)*-1)*5. -20 + 160*sqrt(5) Simplify -5*(-3 + (sqrt(2736) - -4*(-2 + sqrt(2736))) + 0). -300*sqrt(19) + 55 Simplify (5*(((sqrt(102) - (sqrt(102) + 1*sqrt(102))) + sqrt(102))*-4 - sqrt(102)))/(6*-1*sqrt(6)*-5) + 5. -sqrt(17)/6 + 5 Simplify 1*sqrt(68) + 4 - sqrt(68) - (sqrt(68) - (4 + sqrt(68) + -4)). 4 Simplify sqrt(1872)*-3*2 + ((sqrt(1573) + 2)**2 + 1 - sqrt(1573)). -39*sqrt(13) + 1578 Simplify (-3 + -1*sqrt(891) + -5 + 0 + 4)**2. 72*sqrt(11) + 907 Simplify -6*sqrt(68)*-2 + 4 - (-4 + -1 + sqrt(68) - sqrt(68)*2*-5)**2. -8249 + 244*sqrt(17) Simplify ((-1*sqrt(228)*-2 - sqrt(228))*-2)/(sqrt(48)/sqrt(4)*-1 + sqrt(768)*-2). 2*sqrt(19)/17 Simplify ((-4*sqrt(216) + (sqrt(72) + (sqrt(72) - sqrt(72)*-2) - sqrt(72))/sqrt(3))/(4*(2*sqrt(72) + sqrt(72))))**2. 3/16 Simplify 3*(-3*sqrt(19) + 4 - sqrt(19)) - (-6*sqrt(304) + 4). 8 + 12*sqrt(19) Simplify sqrt(35)/(sqrt(7) - sqrt(28)*4) + 2 + (sqrt(1225) - sqrt(1225)*2)/((sqrt(10)/sqrt(2) + sqrt(5))*2 - sqrt(5)). -52*sqrt(5)/21 + 2 Simplify ((sqrt(1008) + -2*sqrt(1008))*6 + sqrt(1008) + 2 + sqrt(1008)*-2)**2 - -5*((sqrt(63) + 0)**2 + 3). -336*sqrt(7) + 49726 Simplify (3*(-1 + sqrt(68) - sqrt(68)) + 5)**2 - (3 + -3*sqrt(68) + 2). -1 + 6*sqrt(17) Simplify (sqrt(180)*-3 - sqrt(180)) + 3 + (sqrt(20)*-1)**2*1. -24*sqrt(5) + 23 Simplify 5*sqrt(104)/sqrt(2) + 3*(sqrt(13) + (sqrt(13) - sqrt(52)*6)). -20*sqrt(13) Simplify (sqrt(96)*-2 + -2*sqrt(48)/sqrt(2))/((-1*sqrt(1152) - sqrt(1152))*3). sqrt(3)/12 Simplify -6*(sqrt(2736)*-1 - (sqrt(304) + sqrt(304)*-1)**2 - (1 + (sqrt(190)*1)/sqrt(10))). 6 + 78*sqrt(19) Simplify (-3*(-3 + sqrt(35)/(sqrt(7) - (sqrt(7) + -5*sqrt(28) + sqrt(7))) + 3) + -4)**2. 8*sqrt(5)/3 + 149/9 Simplify (1*sqrt(153)/(3*sqrt(9)) + 6*(3*sqrt(17) - sqrt(17) - sqrt(17))*2)**2. 23273/9 Simplify 2*sqrt(2)*2*-3 + -1 + ((sqrt(24)/sqrt(3))/sqrt(4))**2. -12*sqrt(2) + 1 Simplify -4 + -2 + sqrt(12) - -4*sqrt(27)*-6. -70*sqrt(3) - 6 Simplify -3*(1*sqrt(2057))**2 + (-3*sqrt(17)*-2 - -2*sqrt(1377)). -6171 + 24*sqrt(17) Simplify -1*(5*(5 + sqrt(99)*1))**2. -3100 - 750*sqrt(11) Simplify ((-1*-1*sqrt(114)*-1)/(sqrt(384) - sqrt(384)*-2*2))**2. 19/1600 Simplify (-6*(sqrt(192)*-1)**2 - (sqrt(192) + 4 + (sqrt(192) - (-1 + sqrt(192)))))*-4. 32*sqrt(3) + 4628 Simplify 1 + (sqrt(77)/(sqrt(1331) - (sqrt(1331) + (sqrt(1331) - 5*sqrt(1331)))) - (2 + sqrt(77)/(sqrt(44)/sqrt(4)))). -43*sqrt(7)/44 - 1 Simplify (-1 + sqrt(176) + 1 - sqrt(176))**2 - (2*sqrt(539))**2*-5. 10780 Simplify 2*(sqrt(76) + (sqrt(76) + -1*sqrt(76)*3 - sqrt(76) - sqrt(76)))/(-5*sqrt(4)*-3). -2*sqrt(19)/5 Simplify ((sqrt(660)/(sqrt(11) + sqrt(55)/sqrt(5)))/sqrt(12) - (sqrt(315)/(sqrt(42)/sqrt(6)))/sqrt(9))**2. 5/4 Simplify ((sqrt(110) + sqrt(110)*4 - sqrt(110))*2*4)/(((sqrt(40) - sqrt(40)*1) + sqrt(10))*2). 16*sqrt(11) Simplify (5*(sqrt(39) - sqrt(156)*3))/(sqrt(24)/(-3*sqrt(
{ "pile_set_name": "DM Mathematics" }
5 Let u be 3 + 2 + -2 + 2. Solve u*n = 15, -5 = -28*f + 24*f + 5*n for f. 5 Let x = 727 + -722. Solve -z + 1 = f + 5, x*z = 5*f - 10 for f. -1 Suppose -33*q + 39 - 39 = 0. Solve 18 = d + 3*u, q = 3*d + 2*d + 5*u - 40 for d. 3 Suppose 3*j - 13 = 4*i, -3 = -4*j + i + 10. Solve 5*q = -3*r + 16 + 12, -j*q = 3*r - 18 for q. 5 Suppose -12*s = -3*s + 864. Let r be ((-48)/s)/(((-2)/(-28))/1). Solve q + k = r, -5*k + 18 - 3 = q for q. 5 Suppose 16*t - 14*t = 3*d + 773, d - 2*t = -263. Let j be (-10 + d/(-25))/((-2)/(-20)). Solve v + j*v + 26 = -5*q, 8 = -2*q for v. -2 Suppose -3*z + 2*y - 3*y + 35 = 0, -3*z - 3*y + 27 = 0. Let q be ((-48)/(-80))/(z/10 - 1). Solve -4*o + q*a - 4 = -2*a, 0 = -4*o + a + 8 for o. 3 Let a(f) = f**3 + 26*f**2 - 50*f + 170. Let r be a(-28). Suppose 10*h - 33 - 87 = 0. Solve 0 = 4*d + 4*u + 20, -r*u - h = -d - 2 for d. 0 Suppose x - 6 = -z, -3*x - 2*z + 10 = -z. Solve 10 - 45 = -5*o - 2*y, -x*y = 4*o - 30 for o. 5 Let q = -4975 - -5015. Solve -3*o - 13 = -3*a - q, -4 = -o for a. -5 Let c be 2/4 + (-1)/2. Suppose -12891 + 12879 = -4*y. Solve c = q, 2*x - q = -y - 5 for x. -4 Let c = 25506 + -25501. Solve -5*w + 6*t - 3 = 10*t, c*w - t + 18 = 0 for w. -3 Suppose 150 = 38*c + 12*c. Solve c*u - 2 - 4 = f, -3*f + 2 = u for u. 2 Let v(r) = 6*r + 5. Let q be v(3). Let j(m) = -m**2 - 3*m + 19. Let s be j(-6). Let h be 1/((-4 - -3)*s) - -4. Solve -2*a + 7 = 5*o, q = -2*a + 2*o + h*o for a. -4 Let j(g) = -g + 8. Let k be j(8). Suppose u + k + 3 = 3*q, 8 = -2*q + 4*u. Suppose 612*o = 634*o - 44. Solve 3*t - q*a = 5, 0*a = -o*t + 3*a for t. 3 Suppose -3*i = 2*p - 8, -277 = -5*p - 257. Solve 0 = 2*o + 8, 5*z + i*z - 4*o - 6 = 0 for z. -2 Let d(a) = -2*a**3 - 14*a**2 - 15*a + 18. Let o be d(-6). Solve 4*y = -2*k - 28 + o, 3*y = 5*k + 32 for k. -4 Let g(j) = -20*j - 99. Let t be g(-5). Let x(o) = 9 + 0*o**3 + 4 + 2*o**3 - o**3. Let u be x(0). Solve -4*i = -d - u, -2*d + t + 5 = 0 for i. 4 Let q(l) = -l**3 + 10*l**2 - 7*l - 70. Let z be q(8). Solve z*h + h = -3*o - 15, 13 = -5*h - o for h. -2 Suppose -3*l - 140 + 194 = 0. Let a be 78/l + 2*(-3)/18. Let i = -4 + 8. Solve -2*g - 12 = b - i*g, -4*b = a*g - 12 for b. -2 Let u = -89 + 93. Suppose u*z - 4 = -3*t - 0, z + 16 = -5*t. Suppose 4*y = -3*j - 4, z = 2*y - 3*y. Solve 4*q + 4 = -4*h, -j = 4*q + 2*h + 3*h for q. -1 Let z = 60 - 137. Let i = 50 + z. Let u be (-5)/20 - i/12. Solve -5*v = -a - u*a - 5, 0 = 4*a for v. 1 Let y(m) = -23*m - 270. Let x be y(-12). Suppose 41*v + x*v = 282. Solve -c + 3*b = -v, 3*b + 11 = 4*c + 5 for c. 0 Let w be (-28)/6*27/12*6. Let r = 65 + w. Solve -2*o = -r*y + 3 - 5, 5*o - y - 17 = 0 for o. 4 Let a be (13/(-52))/((-105)/(-36) - 3). Suppose -h - 6 = -8. Suppose 2*d + h = 4*b + 28, 0 = 2*d + 5*b + 10. Solve a*s - d = -4*o - o, -4*o - 3 = s for s. 5 Suppose -4*a = 3*t + 57, -2*a = 2*t - 4*a + 24. Let f be t/6*(-24)/20. Solve -i = -2*z - 2*z + 19, -f*z + 19 = 4*i for i. 1 Let w(y) = 5*y**2 - 21*y + 73. Let h(j) = j**2 + 1. Let r(l) = 6*h(l) - w(l). Let f be r(-24). Solve -4*b = f*t - 5, t - 2*t - 2*b = -7 for t. -3 Let g = -13309 - -13342. Solve 0 = -29*j + g*j + 4*b + 16, 0 = -2*j + 2*b for j. -2 Suppose 2*u - 4*u + 28 = 2*q, -2*u + 43 = -q. Solve 3*w + 3*y - 13 + 22 = 0, 2*y = 3*w + u for w. -5 Let k(b) = -b**3 + 6*b**2 - 19*b + 78. Let h be k(5). Solve h = -4*p, 3*p = 5*c + 2*p + 23 for c. -5 Suppose 2*h - 7145 = 3*h - 7148. Solve -h*d - 4 = w, -w = -4*d - 4*w + 3 for d. -3 Suppose 238*c - 257*c = 0. Solve -3*k - 2*w + 82 - 90 = c, 4*k + 5*w = -20 for k. 0 Suppose -58*b - 325 - 197 = 0. Let h be -7 - -3 - b - 1. Solve 0 = -q - 3, 13 = h*n + 3*q + 2 for n. 5 Let g = 105 + -100. Solve -3*q - 5*r = 0, 0*q + 5*r = -g*q for q. 0 Let k(a) = a**2 + 2*a + 3. Let i be k(0). Suppose 10*d = i*d + 84. Suppose 3*j = d - 0. Solve 0 = -9*t + 4*t + s - 12, t - j = -3*s for t. -2 Let a = 28 + 13. Let v be 14 + (-24)/(-4) + -2*(-68)/(-8). Solve -4*q - a = q - 4*i, -1 = -v*q - 4*i for q. -5 Let v(q) = -q**3 + 3*q**2 + 17. Let m be v(4). Let z be (-2 + 0 - m)*32/(-16). Solve 0 = -4*h - f - 2, 4*h - 4*f = z*h + 8 for h. 0 Suppose -19*j + 82 = 9*j + 13*j. Solve 5*h + 5*u = 0, -j*u = -14*h + 12*h - 8 for h. -2 Suppose 11*o = 2*o + 126. Suppose -o*h + 33*h = 38. Solve -25 = -5*z + i - 0*i, -h = -3*z - 2*i for z. 4 Suppose -1232 + 1248 = -v - 5*p, 5*p = -2*v - 12. Suppose 0*m = -2*m + 48. Solve n = 2*b + 14, -2*n + v*b = -n - m for n. 4 Suppose -784 = -5*u - 759. Solve -2*y = 3*z + 3*y - 27, u*z + 4*y = 32 for z. 4 Let x be (-3477)/133 + (-1)/(-7). Let c = x - -41. Let f be (-2)/((-4)/2)*c/5. Solve -3*u - 4*i = 1, -f*u + 2*i - 13 = -0 for u. -3 Let m(h) = -49*h - 1025. Let s be m(-21). Solve 4*d + 6 = t, -2 + s = -d for t. -2 Let g = -9754 + 9763. Solve 16*b + 4*x = 14*b - 6, 4*b - g = -x for b. 3 Let c be ((8 - 6)/2)/((-2)/(-12)). Suppose 0 = -5*t + 9 + c. Solve -3*j = -3*x - t, -3 = 4*x - 2*j - 5 for x. 2 Let b = 11180 + -11176. Solve z - 3 = k, b = 4*z - 271*k + 275*k for z. 2 Let n = -7167 + 7172. Solve -n*o - 46*b + 49*b = -42, 3*o = 4*b + 34 for o. 6 Suppose 4*b = -9 - 7, -4*r - 4*b = 24. Let n be 42*r/(-3) + -2. Suppose -412*f = -230*f - 1820. Solve a - 5*g - n = 0, 5*g + f = 3*g for a. 1 Let u(o) = -o**2 - 16*o - 54. Let t be ((-2)/(-4))/((-178)/(-36) + -5). Let g be u(t). Solve 5*n = -4*c + g, 0 = -c - 2*c + n - 17 for c. -4 Let k = 3790 + -3734. Solve k = r + 4*m + 58, 5*r + 10 = m for r. -2 Suppose -108*l - 19 = -127*l. Solve -v - l = 3*x, -4*x + v - 23 = 5*x for x. -2 Suppose -4*i = 3*z + 6, 4*z + 17 - 28 = i. Let t(m) = m**3 + 7*m**2 - 8*m + 4. Let q be t(-8). Solve 11 = 3*n + z*b - 1, -b = n - q for n. 4 Let x(t) be the first derivative of -16 + 1/3*t**3 + 5/2*t**2 + 8*t. Let l be x(-4). Solve 0 = w - 5*k + 27, -3*k = -4*w - l*k - 3 for w. -2 Let q(m) = 29*m**2 - 108*m - 29. Let k be q(4). Let u = 8 - -2. Suppose 0 = -26*f + 31*f - 20. Solve -f*g = 3*a - u, 13 = a + 4*a + k*g for a. 2 Let j(c) = c**3 - 16*c**2 - 54*c - 49. Let z be j(19). Let n be 6/(-2)*(-1)/3. Let r = 1 - n. Solve r = 2*p - 3*p + 4*a - z, -4*p = 4*a - 8 for p. 0 Let z = 110 - 121. Let g(m) = m**2 - 7*m - 198. Let v be g(z). Solve v = 2*t - 1 - 5, 0 = -w - t for w. -3 Let x = -23 - -27. Suppose -2*o - 11*z = -8*z - 40, 3*z = o - 20. Solve 5*y + 15 = b + 5, x*b = -o for y. -3 Let b be 70*7/(-28)*(-6)/21. Solve -4*g = h + 6, 5*g + 18 - 3 = -b*h for h. -2 Suppose -5*o + 0*o + 10 = 0. Suppose 1 = -x + o, 2*x - 4 = -u. Let r be -5*(-5)/(-125) - 810/(-50). Solve 3 = -j - l, u*l = -2*l - r for j. 1 Let x be (3 + -7)/((-12)/9). Suppose l - 3*t - 11 = 0, -2*l + 2*t + x*t = -20. Solve 2*r = l*u - 3*r + 45, 4*r = -u + 16 for u. -4 Let t = 13057 + -13052. Solve 0 = 5*u + t*j, -2*u - 25 = 5*j - 16 for u. 3 Let q be 1/(1/25*5). Suppose 3*m + 13 = -5*r, q*r + 37 = m + 2*m. Solve m*b - 3 = -3*h - 2, 5*h - 9 = -3*b for h. 3 Suppose d + w = 180, -5*d - 3*w + 4*w + 906 = 0. Let k = -176 + d. Solve 0 = -m - 0*n - 2*n + k, 2*m - 5*n = -8 for m. 1 Let h = -271 + 271. Suppose 6*q - 2*d - 68 = 4*q, -4*q - 5*d + 100 = 0. Solve 5*z + 10*p = 5*p + q, -4*z + p + 9 = h for z. 3 Let y be (81/(-21))/(3/(-21)). Suppose -20 = -o + y*f - 22*f, -2*o - 2*f + 4 = 0. Solve -s + o = -3*r + 24, 0 = s + 2*r - 6 for s. -4 Suppose -174*d - 178*d + 606 = -49*d. Solve -d*c = -4*k + 6, 0 = 5*c + 31*k - 28*k - 50 for c. 7 Let u = 11068 + -11063. Solve u*w + 2 = 9*w - t, -3*w - 5*t - 10 = 0 for w. 0 Suppose -131*r + 120*r - 55 = 0. Let c be (-6)/21 - r/(35/2). Solve 4*u = -f + 6*f - 7, c = -u + 2*f - 4 for u. 2 Suppose -2*p = -u - 646, 7*p - 4*p - 2*u = 969. Suppose 5 = -p*c + 324*c. Solve 2*m + x = 4*m - 10, -2*x = -c*m + 24 for m. 4 Suppose -5*v - 5*x + 230 = 0, 5*v + 4*x = 108 + 122. Suppose -9*l + v - 19 = 0. Solve 3 = -l*w, 5*a - 4*w - 7 = 7 for a. 2 Let i = 270 + -63. Let r = i + -191. Let v = 6 - 1. Solve 2*x + 2*x - v*d = -r, 19 = -x + 5*d for x. 1 Suppose 119*n - 9 = 116*n + 3*p, 1 = p. Solve -7*w + n = -10*w + b, 1 = 3*w - 2*b for w. -3 Let i(a) = -a**2 - 21*a - 48. Let j be i(-15). Suppose -10*w + 24*w = j. Solve -w*q - 6 = u + 12, 1 = 3*u - 2*q for u. -3 Let q(h) = -21*h**2 + 15*h**2 - 6*h - 2 + 14 + 17*h**2 - 2*h**3. Let t be q(5). Solve -2*r + t*r + 40 = 5*f, -2*r - 26 = -4*f for f. 5 Suppose -5584*m = -5312*m - 4080. Let z be 4*-1 +
{ "pile_set_name": "DM Mathematics" }
0 = 5*w + 3*j + 18, 0*j + 3*j = -4*w - 18. What is the biggest value in -2, -0.3, w, u? u Let n = 9 - 9.5. Let r(o) = -21*o - 45. Let d be r(7). Let g = -1732/9 - d. What is the third biggest value in -1/25, g, n, -2? n Let n = -337 + 336.93. What is the biggest value in n, -0.1, 0.2, 2, -4/11? 2 Let g be ((-48)/(-1872))/((-4)/(-12)). Which is the second smallest value? (a) -0.21 (b) g (c) 0.04 (d) -4 a Let h = -18520 + 18509. Which is the third smallest value? (a) -53/9 (b) 2 (c) h (d) 0.3 d Let k = 2.3 + -13.3. Let g = -10.8 - k. Let r = 3.5 - 3.2. Which is the second smallest value? (a) r (b) -0.2 (c) -2 (d) g b Let j = 5.61 + -10.2. Let g = -4.69 - j. Which is the fourth biggest value? (a) -0.41 (b) g (c) 2/5 (d) -5 d Let l = -0.09507 - -0.09507. Which is the smallest value? (a) l (b) -0.5 (c) -407 c Let r be (-50)/(-6) + 3/((-9)/24). Which is the fourth smallest value? (a) r (b) 2 (c) -6 (d) 7 d Let h be -7 - (-29)/(580/152). Which is the smallest value? (a) h (b) -0.2 (c) 677 (d) 2/5 b Let j be ((1 - 5) + 3)*3/(-5). What is the fourth smallest value in -2, j, -1, -1/4? j Let w = 16182 + -16185. Let x = -0.24 - -0.2. Let y = -4.04 - x. Which is the second smallest value? (a) w (b) y (c) 0 a Let w(v) = -v**2 + 4*v - 1. Let z be w(3). Suppose -s - 40 = -6*s. Let t be z/s - 30/(-40). Which is the smallest value? (a) -0.3 (b) 0.3 (c) t a Let s = -86881/14 + 6199. Let i = -51/7 - s. Let u = -1.8 - -2. What is the smallest value in 2, i, u? i Let l = 1.1 + -1. Let i = -57137 + 57137.04. Which is the second smallest value? (a) l (b) i (c) -1/3 (d) -4 c Suppose -f - 197 - 1059 = 2*s, 3*f - 1893 = 3*s. Let n = s - -634. What is the biggest value in n, 2, -5/4? n Let z = -5152 - -5152.31. Which is the fourth biggest value? (a) 5 (b) 0.5 (c) -2 (d) z c Suppose -3*h - 10 = -79*p + 78*p, 0 = 2*p - 3*h - 5. Let i = -3.4 - -3.334. Let s = i - -0.166. Which is the third smallest value? (a) 1 (b) p (c) s a Suppose 13 = -2*s - d, -3*s - 37 = 18*d - 13*d. What is the smallest value in s, -46.3, 1? -46.3 Suppose -8*g + 40 = -423*q + 427*q, 5*q = -5*g + 25. Let w = -40.31 - 0.69. What is the second biggest value in 1, w, g? 1 Let j = -59 + 52. Let a = 1.88 + -1.78. What is the fourth smallest value in a, j, -1/5, -5? a Let j be (-31 + -1 + 0)*(-2 + 1). Let o = -4377 + 4372. What is the third smallest value in o, j, -1/7, -3/4? -1/7 Let l = -49.1 - 298.9. Let w = 348.4 + l. Let i be ((-4)/(-30))/(1/10). What is the third biggest value in w, i, 2? w Let y = -270.0467 + 270.1. Which is the third smallest value? (a) y (b) 0.2 (c) -0.5 b Let y = -16.714 + 16.014. Let f = -8 + 0. Which is the smallest value? (a) f (b) y (c) -0.5 (d) 2/7 a Let k = -674/11 - -675/11. Let u = -43/8 - -15/8. Which is the second biggest value? (a) k (b) u (c) 0 c Let z = 905/4 + -227. Let v = 5.88 + 0.12. Which is the third smallest value? (a) 3 (b) z (c) v c Let q = -7/338 - -879/9802. Which is the third smallest value? (a) 4 (b) q (c) -10/9 (d) -1 (e) -1/3 e Let t = -2 + -2. Let y be (-2)/(410/15 + 0). Let l = -50/123 - y. What is the second smallest value in 9, l, t? l Let n be 16/(-52)*(-785)/40. Let u = n - 72/13. What is the smallest value in -1/3, 4/5, u? -1/3 Let d = 3062 + -3201.3. Let o = d - -139. What is the fourth smallest value in -3/4, o, 2, 0.03? 2 Let o(f) be the third derivative of f**6/120 + 11*f**5/60 - 13*f**4/12 + 7*f**3/3 - 142*f**2. Let l be o(-13). What is the biggest value in -1/4, l, 2, -0.1? l Let n be -1 + 4/(-22) - -1. Let k = 158818 - 158813. What is the biggest value in n, 1, k, -0.3? k Let n = 15.83 - 16.73. Which is the fourth smallest value? (a) 3 (b) -0.02 (c) n (d) 0.4 a Let q = 972 - 971.95. Let w be 1/(-8) + 5/680. Which is the second biggest value? (a) q (b) w (c) 0.4 (d) -1/3 a Let p = -17925.4 + 17922. What is the smallest value in -0.045, 1/3, p? p Let n be (4 + (9 - (24 + -10)))*-2*1. Let f = 3.7 + 0.3. What is the biggest value in f, -0.5, 0.01, n? f Let m be (-1044)/270 + (3 - -1). Let k = 7.5 - 8. Let i = k - -0.3. Which is the third smallest value? (a) 5 (b) m (c) i a Let w be (384/(-180) + 2*1)/(224/(-280)). Which is the third biggest value? (a) -0.05 (b) -5 (c) w b Let n = -3340 - -3320. Which is the third biggest value? (a) -6/11 (b) -8 (c) 1 (d) 2/5 (e) n a Suppose -1102*b = -1098*b + 2*v + 168, 2*b - 2*v = -66. Let j = 11 - 8. What is the second smallest value in b, j, 0.4, 3/5? 0.4 Let i be 1032/(-460)*4380/(-18). Let q = i + -546. What is the biggest value in 0, 3, 0.3, q? 3 Let p = -722 - -1581. Let q = p + -861. What is the third biggest value in 200, q, -0.2? q Let z be 1*-13 - (-2 - -1). Suppose 46116*y - 404 = 46217*y. What is the third biggest value in -1, 0, z, y? y Suppose -28 = -y + 4*z, 0 = -3*y - z + 47 - 41. What is the smallest value in -32/5, y, 1/7? -32/5 Let u = -16350.62 + 16352. Which is the biggest value? (a) 10 (b) u (c) 1 a Let t = -2038 + 2037.5. Let u = 211/40 - 39/8. What is the second smallest value in t, u, -0.4, 1? -0.4 Let s = 363.03 + -367.03. Let g = -2 + 3. Which is the third smallest value? (a) s (b) g (c) -20 b Let g = 112 + -133. Let a = 20.8 + g. What is the second smallest value in a, 0.2, 7? 0.2 Let x be (-33)/330*600/(-16). Which is the smallest value? (a) x (b) -1 (c) -1/3 (d) -0.06 (e) 8 b Let s = -0.3 - -2. Let v = s - -14. Let a = -11.7 + v. What is the second biggest value in a, -4, 2? 2 Let y be (-2 + 1)*(1 + (-20)/35). Suppose 3 = p - 3. Let n(u) = -u**2 + 8*u - 8. Let t be n(p). Which is the second biggest value? (a) y (b) t (c) -2/3 a Let x = 0.59047 + -240.76047. Let k = 240 + x. What is the second biggest value in -8, k, 5? k Let k = 18455 + -18453. Which is the second smallest value? (a) 5 (b) -0.07 (c) k (d) 68 c Let z = 0.6 - -26.9. Let q = -514 + 487. Let n = q + z. What is the third biggest value in 0.4, 2/7, n, -2/17? 2/7 Let n be (1924/65)/(2/(-10)). Let r = 143 + n. What is the third biggest value in r, 7, 4? r Suppose -196 = 2*y - 164. Let g = 37/68 - 5/17. Which is the biggest value? (a) 0.5 (b) -2/9 (c) g (d) y a Let v be 21/(-7) - 41/(-13). Let x = -7.04 + 2.04. Let n be 2*(-6)/(-28) - 133/196. Which is the fourth biggest value? (a) n (b) 5 (c) v (d) x d Let l = 224 - 221. Suppose -5*u - 31 = -4*y, 1 = -l*y + 4*y + u. Which is the fourth biggest value? (a) -0.2 (b) y (c) 5 (d) -0.1 a Suppose -8 = 3*g + 4*t, -151*g + t - 9 = -149*g. Let i be -4 + (-32)/(-7) + -1. What is the biggest value in g, 2/29, i? 2/29 Let j be ((2/3)/((-445)/5874))/(2/20). What is the third biggest value in 0.3, j, -1? j Let q = -10753 + 10751. Let p = 20 + -18. Let x = 18 - 17.72. Which is the smallest value? (a) q (b) p (c) x a Let l = -2.7048 + 2.3048. Let j = 3/100 - 933/1100. Which is the biggest value? (a) l (b) j (c) 0.09 c Let s = 9951 + -9952. Which is the second smallest value? (a) s (b) -0.99 (c) 0.3 (d) -2/15 b Let p = -6762 - -6664. What is the fourth biggest value in -3, p, -0.5, -2/9? p Let z = -0.166 + -0.035. Let v = -0.101 - z. What is the biggest value in 0, v, -7/8? v Let j be (-1*3)/(2 + (-295)/(-10)). Let k = -199.7 + 202.7. Which is the second smallest value? (a) -4 (b) j (c) k b Let b be 2/(8/(-18))*(57 - 59). Let k be (9/12)/(b/6). What is the biggest value in 1/7, -2, -0.8, k? k Let v = 17/61 - 7/244. What is the second biggest value in 8/5, v, -5? v Let s = -70.26 - -68.26. What is the second smallest value in s, -0.19, 23/3? -0.19 Let l = -93 - -40. Let z = 157/3 + l. Let m = -12 + -8. What is the third smallest value in z, m, 2? 2 Let r = -395 - -104. Let f = -296 - r. Let b be (-4 - 0)*(-6)/20. What is the second biggest value in b, 1/3, f, -0.2? 1/3 Let x = -5910 - -17728/3. What is the fourth biggest value in -131, -5, x, -2? -131 Let i be (-1)/2 - 27/(-78). Let s = 95639/8082 - 1/4041. Let w = s + -12. Which is the third smallest value? (a) i (b) w (c) -0.1 c Let t = -8581 - -8588. What is the fourth biggest value in 2/9, t, 1, 2/21, 73? 2/9 Let t = 0.0581 - 0.0681. What is the biggest value in -0.04, 0.1, -5, t, -0.4? 0.1 Let s = -9/77 + 738/385. Suppose 8*q - q = 399. Let h = q + -62. Which is the biggest value? (a) -1/2 (b) s (c) h
{ "pile_set_name": "DM Mathematics" }
2. Calculate q(-6). -9 Let q(k) be the second derivative of -1/2*k**2 + 18 - k + 1/3*k**3. Determine q(3). 5 Let l = -1 + -1. Let n(v) be the third derivative of -v**4/8 - 3*v**3/2 - v**2 - 88*v. Let p(y) = -y - 4. Let g(h) = l*n(h) + 5*p(h). Give g(-3). -5 Let g = -11317 - -11355. Let q(v) = -2*v + 74. Calculate q(g). -2 Let n(i) = 42 - 20 - 26 - i. Suppose -2*a + k = -301 + 299, 0 = -5*a - 2*k - 13. What is n(a)? -3 Suppose 214 = -5*u - l, 5*l - 91 = 3*u + 43. Let y = -40 - u. Let q(m) = -7 - y*m + 7 + 3 - 4. What is q(1)? -4 Let a = -154 + 157. Let o(p) = 45*p**a + 5*p**2 - 4 - 2*p - 46*p**3 + 2. Determine o(4). 6 Let h(v) = -v**3 - 6*v**2 + 5*v + 21. Let z = -281 + 275. What is h(z)? -9 Let m(x) = -3*x + 22. Suppose 5*t = 4*v + 62, 3*v = -2*t - 133 + 121. Determine m(t). 4 Let s be (-17)/(-680)*-8 + (2 - 183/(-15)). Let p(z) = -10*z + 132. Calculate p(s). -8 Let j be (-6391)/847 + 6/11. Let y(o) = o**3 + 6*o**2 + 4. Determine y(j). -45 Suppose -2*k + 8 = 0, 0*p = -5*p + 3*k + 3. Let t(b) = 7*b + 3*b**p + 0*b**3 + 2*b**2 - 4*b**2 - b - 8*b. Calculate t(2). 12 Let u(w) = 11*w**2 + 4*w + 9. Suppose -3642*l = -3660*l - 54. Give u(l). 96 Let a(i) be the third derivative of i**6/120 + i**5/12 + i**4/12 + i**3/2 + 4*i**2. Let g = 64 - 125. Let w = g - -56. What is a(w)? -7 Let l(n) = 32*n + 264. Suppose 31*g - 16 = 30*g - 4*s, 0 = -2*g - 4*s + 8. What is l(g)? 8 Suppose 39*m + 2349 = 30*m. Let c = 260 + m. Let u(i) = 3*i**2 - 1. Calculate u(c). 2 Let n(s) = -134*s + 2926. Let k be n(22). Let q(g) = -g**2 - 25*g - 65. Calculate q(k). 1 Suppose -4*d + 24 = 8*d. Suppose 2*w + 18 = d*r + 22, -4*w = 4*r - 8. Let x(t) = -2*t + 3. Give x(w). -1 Let r(p) = -11*p - 15. Let t(s) = -30*s - 44. Let z(v) = 11*r(v) - 4*t(v). Determine z(8). 3 Let k(x) = 46*x**2 + 2*x - 11. Let v(b) = -92*b**2 - 5*b + 27. Let c(s) = -5*k(s) - 2*v(s). Determine c(1). -45 Let v(g) = -g**3 - 9*g**2 - 11*g - 28. Let z be ((22/385)/(11/77))/(3/(-60)). Calculate v(z). -4 Let r(q) = 7*q**2 - 24*q + 1. Let u(j) = -4*j**2 + 12*j. Let z(a) = -3*r(a) - 5*u(a). Let y = 164 - 157. Give z(y). 32 Suppose 48*y + 46*y - 188 = 0. Let c(u) = u**2 - 2*u + 5. Give c(y). 5 Let g(l) = -3*l**2 - 46*l + 16. Let w(n) = -28*n - 1024. Let b be w(-36). Give g(b). -16 Let k be -34 - -47 - (-7 - -1). Let w(r) = -275*r - 3 - k + 276*r. Calculate w(0). -22 Suppose 0 = -4*o + 1 + 31. Let z(x) = 4*x - 36. Let y be z(12). Let p(f) = -85*f - y + 77*f + f**2 + 10. What is p(o)? -2 Let m(p) = p + 2. Let n be (1/(-2))/(8/(-128)). Suppose 72*g = 70*g + n. Suppose 3*t = z - t - 16, t = -g. Calculate m(z). 2 Let y(j) = 5*j**2 + 2*j - 1. Suppose 16 = 5*i + 2*o, 2*i + 0*i = -o + 6. Suppose -i = -w + 3*w. Calculate y(w). 15 Let w(m) = -3*m**2 - 10*m - 5. Let h(o) = 3 + 20*o - 23*o - o**2 + 9*o + 0*o**2 + 2*o**2. Let z(y) = -5*h(y) - 2*w(y). Determine z(10). -5 Suppose 6*h + 17 = 29. Let a(f) = 2*f**3 - 152*f + 2*f**h + 4 + 152*f. Give a(-3). -32 Suppose -23 = 5*o + 2, -5*i - o + 5 = 0. Suppose i*c - 35 + 29 = 0. Suppose -k = 4*k - q - 27, c*q - 9 = -3*k. Let u(n) = -n + 11. Give u(k). 6 Suppose 4*f - 2*r = 1878, 2*f = -f - 3*r + 1386. Let t = -472 + f. Let p(l) = l - 5. Determine p(t). -10 Suppose 0*j + 5*j = -d - 16, -5*d + 12 = 2*j. Let q(w) be the first derivative of 376*w + w**2 - 375*w + d - 5*w**2. Give q(2). -15 Suppose -16*c = -12*c. Let q(z) = -z**2 - z + 6. Let b be q(c). Suppose v + 17 = 3*l, -2*v - l = l - b. Let s(w) = -w**3 - w**2 + w + 1. Calculate s(v). 3 Let n(q) = 2035*q**2 - 2034*q**2 - 9*q + 31 - 10*q. What is n(13)? -47 Let a be 1*(-4 + 2)*-1. Let z(g) be the first derivative of -9*g**2 - 9*g**2 + 4*g + 35 + 17*g**a. Determine z(3). -2 Let c(x) = 105*x**3 + 5*x**2 + 11*x + 12. Let v(i) = 16*i**3 + i**2 + 2*i + 2. Let o(d) = 2*c(d) - 13*v(d). What is o(-2)? -22 Suppose 3*q = -2*z - 70, 118 = -7*q + 2*q - 2*z. Let y be 138/q + (0 - (-12)/16). Let f(r) = -r**3 - 5*r**2 + 4*r - 4. Calculate f(y). -24 Suppose 0 = 5*a + 2*i + 17, -3199*i - 2 = -3197*i. Let r(o) = -3*o + 0*o**2 + 2 - 3 - o**3 - 3*o**2. What is r(a)? 8 Suppose 0 = -2*k + y - 74 + 274, 3*y = -k + 93. Let j(n) = 103*n - 307*n + k*n + 101*n. Determine j(-2). 8 Let w(y) be the third derivative of -y**5/60 - 11*y**4/24 - y**3 + 8*y**2. Let j be (171/(-18) - -9)*22. Determine w(j). -6 Let o(w) = -8*w + 12 - 3983*w**2 + 30 + 3982*w**2. Determine o(4). -6 Let s(t) = 10*t + 5. Suppose 13*a = -8 + 47. Suppose 4*b - a*q = 24, -b + q + 1 = -5. Let k(y) = y. Let w(r) = b*k(r) - s(r). Give w(4). -21 Let q = -58 + 54. Let o = -24 - -32. Let g(r) = -3 + 2*r + o + 0 + 1. What is g(q)? -2 Let j(q) = q**2 - 8*q + 2. Let u(x) = -13*x - 45. Let h(c) = -2*c**2 + 34*c - 64. Let d be h(15). Let z be u(d). What is j(z)? -5 Let i(x) = -4580 + x**2 + 2284 + 2268 - 8*x. What is i(12)? 20 Let v(j) = 2*j**3 - 3*j**2 - j + 2. Let h be v(2). Let a(b) = 144*b + 505. Let d(o) = 10*o + 35. Let f(g) = -2*a(g) + 29*d(g). What is f(h)? 13 Let v(z) be the third derivative of z**6/120 + 7*z**5/60 - z**4/4 + 600*z**2 + z. Calculate v(-6). 72 Let k(o) = -3*o - 2. Let x = -133 - -141. Suppose x*j - 110 = -302. Let a = -27 - j. What is k(a)? 7 Let l(k) = 19*k**3 + 7*k**2 + 6*k - 3. Let h(d) = -22*d**3 - 7*d**2 - 8*d + 5. Let q(s) = 6*h(s) + 7*l(s). Let w be (-24)/(-10)*(-40)/12. Calculate q(w). -7 Let v(q) = -20*q + 30. Suppose -57*t = -34*t + 3 - 49. Give v(t). -10 Let h(m) = 8*m + 67. Suppose 18*d - 65*d - 553 = 32*d. Determine h(d). 11 Let q(c) = -2*c**2 - 15*c - 4. Let z be q(-6). Suppose -49 = z*n + 385. Let t = -35 - n. Let k(l) = -3*l - 6. Determine k(t). 6 Suppose -223*b + 206*b = -117 - 121. Let d(r) be the first derivative of b - 7*r + 1/2*r**2. Determine d(3). -4 Let k(n) = -9*n**3 - 38*n**2 - 78*n - 103. Let a(z) = -5*z**3 - 25*z**2 - 39*z - 52. Let m(p) = 7*a(p) - 4*k(p). Calculate m(21). -15 Let p(u) = -7*u + 15. Suppose -13 = -3*g - o, -2*g + 16 = 2*g + o. Let d(t) = 4*t - 8 + 2*t - 2*t. Let n(y) = g*p(y) + 5*d(y). Calculate n(0). 5 Suppose n = 5*h - 67, -5*h - n = n - 61. Let s(v) be the second derivative of -v**4/12 + 7*v**3/3 - 9*v**2/2 + 4*v - 155. Calculate s(h). 4 Let v(f) = 19*f**3 + f**2. Suppose -37*h + 40*h + t = 8, -5*h + 3*t - 10 = 0. Calculate v(h). 20 Let g be 2 + (-11 - -11)/(0 + -2). Let z(j) = j**3 - 5*j**2 + 12*j - 14. What is z(g)? -2 Let j(n) = n**3 + 18*n**2 + 44*n + 788. Let q be j(-18). Let c(v) = -5*v**2 - v + 2. Determine c(q). -74 Let b(o) be the second derivative of o**3/6 + 5*o**2/2 + 2*o. Let v(n) = 10*n + 98. Let l be v(-11). Let g be 0*((-18)/l)/(-3). Give b(g). 5 Let m(r) = -r + 2. Let y(p) = 3*p - 3. Let h(g) = 5*m(g) + 2*y(g). Let k be 728/168 + 6/9. Calculate h(k). 9 Suppose -3*t + 319 = 4*p, 4*t - 6*t + 5*p = -182. Suppose -5331 + 3921 = -15*x. Let r = t - x. Let a(j) = -j + 10. Determine a(r). 3 Let q(b) be the second derivative of b**5/20 + b**4/2 - 11*b**3/6 - 5*b**2 - 2794*b. Let r = -23 - -16. Calculate q(r). 18 Suppose -13*o = -14*o. Let j(l) = o*l + 4*l + 0*l + 3. What is j(-3)? -9 Let v(i) be the second derivative of i**5/20 - 4*i**4/3 - 3*i**3 + 19*i**2/2 + 115*i. Let a be v(17). Let l(n) = n**3 + n - 4. What is l(a)? 6 Let l(g) = -2*g**3 + 49*g**2 + 24*g + 26. Let i be l(25). Let v(w) = -2 + 0*w**2 + 9*w**2 + 1 + w. Determine v(i). 9 Let y(x) = x**2 - 13*x - 17. Let o be y(-12). Suppose o - 277 = 2*s. Let m(f) = -35*f**2 + 1 + 33*f**2 + 4*f**3 + 0*f**s. Give m(-1). -5 Let j(m) = -3*m**2 + 28*m - 2. Let u(w) = 4*w - 1. Let v(x) = -j(x) + 2*u(x). Calculate v(3). -33 Let z(h) = h**2 - 14*h + 35. Suppose 2*l - 33 = -5*x, -4*l - x = -35 - 4. Give z(l). -10 Let b(h) = -207*h + 410. Let v be b(2). Let q(z) = -2*z**2 + z**2 - 3*z - 3*z**2 - z**3 + 2 + 4*z. What is q(v)? -2 Let g be 0/(3*32/(-48)). Let y(z) = -4*z + 39. What is y(g)? 39 Let y = -34 + 44. Let u be ((15/3)/y)/(1/(-12)). Let z(h) be the third derivative of -h**5/60 - 5*h**4/24 + h**3/6 + 10*h**2. Give z(u). -5 Let t(d) = -2*d**3 + 3*d**2 + 2*d - 2. Let s(b) = b**2 + 34*b - 69. Suppose 40 = 22*w - 4. Let q be s(w). Calculate t(q). -23 Suppose 7*c - 21*c = -28. Let p(m) = 23 + 3*m - 5*m**2 - c*m - 26 + 2*m**2 + m**2. Calculate p(0). -3 Let z(h) = 3*h**2 + 158*h + 2080. Let y be z(-27). Let s(r) be the third derivative of 23*r**6/120 - r**5/60 + r**2. What is s(y)? 22 S
{ "pile_set_name": "DM Mathematics" }
e greatest common factor of 119 and 210273. 119 Calculate the highest common factor of 19420 and 16640. 20 What is the highest common factor of 78246 and 84? 42 Calculate the greatest common factor of 46065 and 6640. 415 Calculate the greatest common factor of 157557 and 174. 87 What is the greatest common divisor of 126550 and 450? 50 Calculate the greatest common divisor of 2673 and 432. 27 What is the greatest common factor of 4477 and 107041? 407 Calculate the highest common factor of 10956 and 1320. 132 What is the greatest common factor of 384 and 157952? 128 Calculate the greatest common factor of 849 and 50374. 283 What is the highest common factor of 129 and 6966? 129 Calculate the highest common divisor of 6362 and 38. 2 Calculate the greatest common divisor of 1287 and 3575. 143 Calculate the greatest common divisor of 435467 and 359. 359 Calculate the highest common factor of 11248 and 12236. 76 Calculate the greatest common factor of 46826 and 832. 26 Calculate the highest common factor of 50 and 50650. 50 What is the highest common divisor of 18382 and 42? 14 Calculate the greatest common factor of 25890 and 110. 10 Calculate the greatest common divisor of 8592 and 4656. 48 Calculate the highest common divisor of 119 and 246925. 119 Calculate the greatest common divisor of 683924 and 152. 76 What is the highest common divisor of 5415 and 969? 57 Calculate the greatest common divisor of 1680 and 567. 21 What is the highest common divisor of 165 and 1672605? 165 Calculate the highest common factor of 9617 and 124667. 59 What is the highest common factor of 32 and 7472? 16 What is the highest common divisor of 22540 and 1470? 490 What is the highest common factor of 48 and 1634608? 16 Calculate the greatest common factor of 1995 and 2242. 19 Calculate the greatest common factor of 224 and 148640. 32 What is the highest common divisor of 96 and 2412192? 96 What is the highest common factor of 91648 and 156088? 1432 What is the greatest common divisor of 1728 and 1536? 192 What is the highest common factor of 4870728 and 1098? 1098 Calculate the highest common divisor of 54 and 35766. 18 Calculate the highest common factor of 552 and 40872. 24 What is the greatest common factor of 68225 and 75? 25 Calculate the highest common divisor of 1133 and 217767. 11 What is the greatest common divisor of 3055577 and 217? 217 Calculate the greatest common factor of 93 and 30543. 3 What is the greatest common factor of 172 and 958556? 172 Calculate the greatest common divisor of 41565 and 75. 15 Calculate the highest common factor of 42160 and 1550. 310 What is the greatest common factor of 1305 and 30375? 45 Calculate the highest common factor of 234300 and 1500. 300 What is the highest common factor of 330834 and 168? 42 What is the greatest common divisor of 25 and 390700? 25 What is the highest common divisor of 29323 and 9499? 413 What is the highest common factor of 1281 and 75894? 21 What is the greatest common divisor of 3266 and 1150? 46 Calculate the greatest common divisor of 11 and 3753959. 11 Calculate the greatest common factor of 30210 and 318. 318 Calculate the greatest common divisor of 1038 and 138. 6 Calculate the greatest common factor of 13215 and 1725. 15 Calculate the greatest common divisor of 346662 and 36. 18 What is the greatest common factor of 372 and 6192? 12 What is the highest common factor of 1730584 and 1? 1 Calculate the greatest common factor of 80 and 11920. 80 What is the greatest common factor of 506 and 293894? 46 Calculate the greatest common divisor of 172 and 1248462. 86 Calculate the greatest common divisor of 1197 and 248064. 57 Calculate the highest common factor of 148349 and 2943. 109 Calculate the highest common factor of 31666 and 852. 142 Calculate the greatest common divisor of 31997 and 12407. 653 Calculate the greatest common divisor of 1862 and 1041257. 133 What is the greatest common divisor of 507737 and 19? 19 Calculate the highest common divisor of 1834798 and 1579. 1579 What is the highest common factor of 259770 and 420? 210 Calculate the greatest common factor of 25533 and 153. 9 Calculate the greatest common factor of 36 and 3802. 2 Calculate the greatest common factor of 23 and 182390. 23 What is the greatest common divisor of 583 and 10252? 11 What is the highest common divisor of 1106 and 71764? 14 What is the highest common factor of 680 and 160905? 85 What is the highest common factor of 20 and 1129355? 5 What is the highest common factor of 114589 and 8436? 703 Calculate the highest common factor of 27150 and 12. 6 What is the highest common divisor of 1526 and 187589? 109 Calculate the greatest common divisor of 141404 and 46. 46 What is the greatest common factor of 928480 and 1120? 1120 What is the highest common divisor of 7685479 and 51? 17 Calculate the highest common divisor of 5060 and 3565. 115 Calculate the greatest common divisor of 4816 and 9184. 112 What is the highest common factor of 43980 and 60? 60 What is the highest common divisor of 3 and 1781? 1 What is the greatest common divisor of 22 and 1078198? 22 What is the greatest common factor of 974 and 355023? 487 Calculate the greatest common divisor of 1120 and 9440. 160 Calculate the greatest common divisor of 1309980 and 84. 84 What is the highest common factor of 7728 and 1168? 16 What is the greatest common divisor of 6624 and 11136? 96 What is the highest common factor of 9164954 and 38? 38 What is the highest common divisor of 12136 and 21016? 296 What is the greatest common factor of 1978397 and 158? 79 Calculate the highest common factor of 52940 and 180. 20 What is the greatest common factor of 444 and 6504? 12 Calculate the highest common factor of 5402 and 10877. 73 Calculate the greatest common factor of 48832 and 6720. 448 What is the greatest common factor of 914733 and 648? 81 What is the greatest common divisor of 432 and 60903? 9 What is the greatest common factor of 1140 and 540? 60 What is the highest common divisor of 13331 and 41? 1 Calculate the highest common divisor of 213 and 96. 3 What is the greatest common divisor of 8 and 20168? 8 Calculate the highest common factor of 470714 and 1184. 74 Calculate the highest common factor of 76764 and 12. 12 What is the greatest common divisor of 80550 and 180? 90 Calculate the highest common divisor of 268 and 8012. 4 What is the highest common factor of 1652680 and 150? 10 Calculate the highest common factor of 396160 and 160. 160 Calculate the greatest common divisor of 25916 and 440. 44 What is the greatest common divisor of 312 and 199446? 78 Calculate the greatest common divisor of 7347 and 248. 31 Calculate the greatest common factor of 5 and 863605. 5 What is the highest common divisor of 189 and 128541? 21 Calculate the highest common factor of 284 and 160. 4 What is the greatest common divisor of 776504 and 232? 232 Calculate the greatest common factor of 103551 and 231. 21 What is the highest common factor of 4191 and 1518? 33 Calculate the greatest common factor of 274669 and 214. 107 Calculate the greatest common divisor of 256672 and 160. 32 What is the greatest common factor of 90 and 110070? 90 What is the greatest common factor of 352 and 79232? 32 Calculate the highest common factor of 959663 and 1556. 389 What is the highest common factor of 3 and 268377? 3 Calculate the highest common divisor of 54 and 3987. 9 Calculate the highest common factor of 50 and 158870. 10 What is the highest common factor of 32988 and 60? 12 Calculate the greatest common divisor of 7512 and 78. 6 What is the greatest common divisor of 179208 and 1634? 38 What is the highest common divisor of 98 and 34328? 14 What is the greatest common factor of 415 and 211069? 83 What is the highest common divisor of 6308 and 5244? 76 Calculate the highest common factor of 140 and 1372. 28 Calculate the highest common divisor of 270 and 20530. 10 Calculate the highest common factor of 65 and 40820. 65 What is the greatest common divisor of 57618 and 4752? 594 What is the highest common factor of 19 and 68818? 19 What is the greatest common factor of 42 and 1030666? 14 What is the highest common divisor of 17408 and 2635? 17 What is the greatest common divisor o
{ "pile_set_name": "DM Mathematics" }
ify (2*1*(3*sqrt(378) - sqrt(378))/sqrt(9))/((sqrt(72) - (sqrt(72) + (sqrt(72) + -2*sqrt(72) - sqrt(72))))/sqrt(12) - sqrt(66)/(sqrt(11)*-3)). 12*sqrt(7)/7 Simplify (4 + (sqrt(1008) - (1 + sqrt(1008) + sqrt(1008))) - (-1 + sqrt(1008) + -3))**2 - ((sqrt(28)/(sqrt(576)*5))**2 + 2). -336*sqrt(7) + 14684393/3600 Simplify -2 + ((-4*sqrt(405) - (sqrt(4500) - sqrt(4500)*1))/(sqrt(108)/(sqrt(96)/(sqrt(8) - (sqrt(8) - 5*sqrt(8))))))**2 + 4. 154/5 Simplify (1 + -5 + 2*(sqrt(242) + (sqrt(242) - (-1 + sqrt(242))*6) + sqrt(242) - (sqrt(242)*2 + -4))*5)**2. -105600*sqrt(2) + 614216 Simplify (-5*(2*sqrt(162) + 3 + 2*sqrt(162)*-1 - (sqrt(162)*2 + -4 - (1 + sqrt(162) + 0)))*-6)**2. -129600*sqrt(2) + 203400 Simplify ((4*1*sqrt(300)*-2)/(-5*(sqrt(144) - (sqrt(144)*1 - sqrt(144)) - sqrt(144)) + 5*1*sqrt(144)))**2. 16/3 Simplify 2 + (4 + (3 + -2*sqrt(80)*-1)*-5)**2*1. 880*sqrt(5) + 8123 Simplify (((sqrt(80) + sqrt(80)*2)/sqrt(4) + -2*sqrt(80))*-3)/(-2*(sqrt(360) + -4*1*sqrt(360) - sqrt(360))). sqrt(2)/16 Simplify (sqrt(1620)*-1 + sqrt(1620) - sqrt(80)/(sqrt(16)/sqrt(4)))/(sqrt(12)/(sqrt(3) - (sqrt(3) + 6*sqrt(192)))). 48*sqrt(5) Simplify 2 + (-4*(sqrt(768) + 5*sqrt(768))**2 - (-4 + sqrt(768) + -2)). -110584 - 16*sqrt(3) Simplify ((sqrt(20) - sqrt(120)/sqrt(6))*3 + (sqrt(1620) - 1*sqrt(1620)))/(sqrt(20)/(sqrt(5) - sqrt(125)*-1)*6). 0 Simplify (((1 + sqrt(1377))*-5)**2*-5 - (0 + (sqrt(1377)*2*-4 - sqrt(1377))**2)) + 2 + -2. -283787 - 2250*sqrt(17) Simplify (-5*(sqrt(170) - (-4*sqrt(170)*-1 - sqrt(170)))*5)/((sqrt(70) - (-2*sqrt(70)*-3 - sqrt(70)) - sqrt(70))/(sqrt(252)*1)). -60*sqrt(17) Simplify (3*sqrt(896))/(2*sqrt(200)) - -3*(0 + (2 + sqrt(343) + 2)**2). 846*sqrt(7)/5 + 1077 Simplify (4 + (sqrt(19) + 0 + 5)**2)*-3 - (3*sqrt(912))/(2*(sqrt(3) + 1*sqrt(3))). -144 - 33*sqrt(19) Simplify ((2*sqrt(130) + sqrt(130))/sqrt(5))/sqrt(2) - -1*(-5 + 1*sqrt(13)) - (sqrt(4212) + sqrt(4212)*-1 + sqrt(4212))/(sqrt(64)*3)*-1. -5 + 19*sqrt(13)/4 Simplify (-1 + sqrt(1300))*5*3 + -3*(sqrt(1300) + -1 + sqrt(1300) - sqrt(1300)) + (0 + sqrt(1300))**2 + -2 + 4. 120*sqrt(13) + 1290 Simplify (-3*(2*2*sqrt(17)*1)**2 - ((3 + (sqrt(17) - 1*sqrt(17)))*1 + 5))*1. -824 Simplify (6*-2*sqrt(78))/(-4*sqrt(150)) + -1*-6*((sqrt(468) + 0)*-1)**2. 3*sqrt(13)/5 + 2808 Simplify (5*(sqrt(4500)*1 - 2*-2*sqrt(45)))/(-3*-5*sqrt(144)*-3). -7*sqrt(5)/18 Simplify 3 + ((3*(sqrt(77) + sqrt(77) + 2*sqrt(77) - sqrt(77)) + sqrt(77)*1*5)/(2*sqrt(343)*-4))**2. 59/16 Simplify (sqrt(63) + -6*sqrt(252)/sqrt(4))/(sqrt(9) - ((sqrt(108) - (-1*sqrt(108) - sqrt(108))) + sqrt(108))/sqrt(12)) + (-1*sqrt(56)*-2)/(sqrt(32)/sqrt(4)*4). 13*sqrt(7)/6 Simplify (-4*sqrt(121)*1*4)/(((sqrt(99) + (sqrt(99)*3 - sqrt(99)) + sqrt(99))*4)/sqrt(9)). -sqrt(11) Simplify -5 + (0 + sqrt(13)*-2 - (3 + -1*sqrt(13))) - -4*-3*(sqrt(832) + -4). -97*sqrt(13) + 40 Simplify -1*(sqrt(448) - (sqrt(448)*2)**2) + (1*-2*sqrt(42) + sqrt(42))/sqrt(6) - ((sqrt(175)*1)**2 - (-3 + sqrt(343)))*-1. -16*sqrt(7) + 1970 Simplify (-5 + (sqrt(175)*-1)**2 + 4 - (sqrt(63)*4 + (2*sqrt(7))**2*5)) + 0 + -4. -12*sqrt(7) + 30 Simplify (sqrt(35)/sqrt(5)*-3 - ((sqrt(56)/sqrt(8) - sqrt(7)) + sqrt(7))*-2 - sqrt(630)/(sqrt(10) - (sqrt(110)*3)/sqrt(11)))**2. 7/4 Simplify (5*sqrt(228)*-1 - (((sqrt(228) - -3*sqrt(228)) + sqrt(228))*3 - sqrt(228)))/((sqrt(24)/(sqrt(32) + sqrt(2)) + sqrt(768)*1)*6). -95*sqrt(19)/246 Simplify (sqrt(931) + 3)**2 + 1 + sqrt(931) + (1 + 1 + sqrt(931) - sqrt(931)) - (4 + (((3*sqrt(76) - sqrt(19))**2 - sqrt(19)) + -1 + sqrt(2736))*-4). 93*sqrt(19) + 2835 Simplify (sqrt(12)/(2*sqrt(486)) - -5*sqrt(18)*2) + ((sqrt(84) + sqrt(84)*-3 + sqrt(84))/sqrt(6))/(sqrt(847) + (3*sqrt(847) - sqrt(847))). 5945*sqrt(2)/198 Simplify -5*((-1 + sqrt(2736) + sqrt(2736) + 0 + sqrt(2736) + sqrt(2736))**2*5 - 2*((2*sqrt(190)*2 - sqrt(190)) + sqrt(190))/sqrt(10)). -1094425 + 2440*sqrt(19) Simplify -1 + (((sqrt(260) + 1*sqrt(260))*-1)/sqrt(5))/((sqrt(24) + 2*sqrt(96))/sqrt(6)) + 4. -2*sqrt(13)/5 + 3 Simplify -5 + 4 + (2*(2 + 5*1*sqrt(153) + 0) + 5)**2. 540*sqrt(17) + 15380 Simplify (1 + sqrt(1008)*-2*5 + 3)**2 - (1*sqrt(126)/sqrt(3) + sqrt(42))/(sqrt(216)*-1). -2879*sqrt(7)/3 + 100816 Simplify 1*-4*5*2*(3 + sqrt(475) + 3 + sqrt(475))*-5. 1200 + 2000*sqrt(19) Simplify (-4 + 5*((sqrt(405) - (sqrt(405) + 2)) + sqrt(405))*6 - (-5 + sqrt(320) + 1)*4*1)**2. -22848*sqrt(5) + 285524 Simplify (((2*sqrt(152) - sqrt(152))*2)/(6*((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8))) + ((2*sqrt(171))/sqrt(9) - -3*1*sqrt(19)) + 0)**2. 40204/81 Simplify (-2 + (5 + (sqrt(637) + 2 + sqrt(637) + 5 - sqrt(637))*-3)*-4)**2*4. 41664*sqrt(13) + 382288 Simplify ((sqrt(162) + sqrt(162) + 1)*6 - sqrt(162))**2*5 - (-1 + -2 + sqrt(288))**2*-2. 5796*sqrt(2) + 98784 Simplify -2*(2 + (sqrt(13) + -2 - sqrt(13))) + (sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*-1)*-5))/sqrt(7) + -5 + -1. -6 + 10*sqrt(13) Simplify (5*sqrt(84)*-2*-4)/(sqrt(21)/(sqrt(33)/sqrt(11)) - -3*sqrt(448)). 16*sqrt(3)/5 Simplify -2*(-4 + (-4*-2*sqrt(343) + -2*sqrt(343)*4 - (-3*(sqrt(343) + -1 + sqrt(343)) + sqrt(343) + 0)))**2. -17248 + 980*sqrt(7) Simplify ((sqrt(34)/(sqrt(2) + 5*sqrt(8) + sqrt(8) + sqrt(2) + sqrt(2))*-5)**2 - ((sqrt(102)*-1 + sqrt(102))*-2)/(sqrt(150)*1 - sqrt(6)))*2. 34/9 Simplify 5 + (5*(5 + sqrt(70)/(sqrt(10) - -1*sqrt(10)) + 1 + sqrt(224)/sqrt(2)*-3))**2. -3450*sqrt(7) + 96195/4 Simplify (5*(sqrt(84)*2*2 - sqrt(84))*-3)/((sqrt(972)*1 + sqrt(12) - (sqrt(96)*1)/sqrt(8))*2). -5*sqrt(7)/2 Simplify (-4*sqrt(170)*-1*-4*-5)/((3*sqrt(70)*1 + sqrt(70))/(sqrt(77)/sqrt(99))). 20*sqrt(17)/3 Simplify -4 + 3 + (3 + sqrt(200) - (-1 + sqrt(200)/sqrt(4)))**2 + (5 + (sqrt(200)*1)/sqrt(4))**2. 90*sqrt(2) + 140 Simplify (sqrt(154)/sqrt(99) + sqrt(2800)/sqrt(2))/(sqrt(847) + sqrt(847)*1 - sqrt(847) - sqrt(49)/sqrt(175)). 155*sqrt(2)/162 Simplify -5*((sqrt(133)/sqrt(7) + sqrt(19))**2*5*-2 + sqrt(76)/(2*sqrt(100)))*-1. -3800 + sqrt(19)/2 Simplify (((sqrt(468)*4*6 - sqrt(468))/sqrt(12))/(-1*(sqrt(3) + sqrt(6)/sqrt(2)) - sqrt(9)/(sqrt(18)/sqrt(6))) + -4)**2. 184*sqrt(13)/3 + 7021/9 Simplify (2*sqrt(209)*4)/sqrt(11) + 1 - (((sqrt(475) - (sqrt(475) + sqrt(475)*2)) + -5)**2 + 3). -1927 - 92*sqrt(19) Simplify -5*(2 + (-4*sqrt(224)*-2)/(sqrt(72)*2*-1)). -10 + 40*sqrt(7)/3 Simplify (3*sqrt(24)/((-1*sqrt(56))/sqrt(7)) + (sqrt(150) + 1*sqrt(150) + sqrt(150))/(-4*(sqrt(8) - sqrt(2))) + -5)**2*-5. -12935/16 - 675*sqrt(3)/2 Simplify ((-5*(sqrt(216) - 1*sqrt(216)))/(sqrt(72)/sqrt(3)))/(4*(4*sqrt(1728)*2 - sqrt(1728))). 0 Simplify ((6*(sqrt(245) + (-1 + sqrt(245) - sqrt(245)) + 4) + (2 + sqrt(245)*-1)*-5)*1)**2. 1232*sqrt(5) + 29709 Simplify -2 + 0 + 2*((1*(2 + sqrt(720)) - -1*sqrt(720)*1)**2 + -2)*-4. -23058 - 768*sqrt(5) Simplify ((sqrt(84)*2*4)/(sqrt(42)/sqrt(24)))/(-5*(sqrt(726) - (sqrt(726) + 2*sqrt(726)) - sqrt(726))*5). 16*sqrt(2)/825 Simplify 1 + (sqrt(228)*-1)/sqrt(12) + sqrt(57)/(sqrt(15)/sqrt(5)) + -5 + -4*sqrt(114)/sqrt(6)*4. -16*sqrt(19) - 4 Simplify (-3*(5 + -3*(-1 + sqrt(1900) + 1) + -1))**2. -2160*sqrt(19) + 154044 Simplify (4 + (sqrt(624) - (sqrt(624) + (sqrt(624)*2 + sqrt(624))*-1))/(-2*sqrt(12)*-1 + sqrt(12)) + 5)**2. 36*sqrt(13) + 133 Simplify 4 + 1*(-2 + sqrt(19)*-3 + -5 + (sqrt(228) - (sqrt(228) + sqrt(228) + (sqrt(228)*-3 - sqrt(228) - sqrt(228))))/sqrt(12)). -3 + sqrt(19) Simplify ((((sqrt(288) + -1*sqrt(288) + sqrt(288))/sqrt(8))/(sqrt(540)/sqrt(5)) - (-1 + sqrt(147) + -4)**2*4) + -4)*2. -1384 + 1682*sqrt(3)/3 Simplify (2*sqrt(78)*-3 - -3*sqrt(78)*5)/(3*3*(sqrt(294)*-3 + sqrt(294) - sqrt(294) - sqrt(294))). -sqrt(13)/28 Simplify ((3 + 0 + (sqrt(700) + ((sqrt(700) + -2 - sqrt(700)) + -1 - sqrt(700)) + (-1 + sqrt(700) - sqrt(700)) + sqrt(700) + -5)*-6 + 5)*-1)**2. -7440*sqrt(7) + 29044 Simplify ((-1*(-1 + sqrt(2299)) - sqrt(2299)) + 1 - ((sqrt(2299) + (sqrt(2299)*-3 - sqrt(2299))**2)*5 + -4)) + 2. -183912 - 77*sqrt(19) Simplify ((sqrt(19) - sqrt(133)/(-3*sqrt(7)) - (sqrt(684) + -2))*-2 - (-3*(1 + sqrt(19))**2*-1 + 5 + (sqrt(152)*2)/sqrt(8)))*-5. -20*sqrt(19)/3 + 345 Simplify (4 + (-1 + (sqrt(1377) - (-1 + sqrt(1377))*-3 - sqrt(1377)) + -5)*-6)**2. -18792*sqrt(17) + 449512 Simplify (-5 + 5*(3*sqrt(252)/sqrt(4)*5)/(6*sqrt(225)*2))**2. -25*sqrt(7)/2 + 575/16 Simplify (sqrt(80)*4 + -3 + (-2*sqrt(80)*-1 + sqrt(80) - sqrt(80) - sqrt(80)))**2 + 3*(6*
{ "pile_set_name": "DM Mathematics" }
the value of 0 + 9 + -1 + -126 + 108? -10 -27 - -23 - (-6 - 1) 3 Evaluate 5 + (-14 - (-3 + -2)) + 4. 0 Calculate (-1 - -2) + (-6 + 6 - -3). 4 What is -8 + 2 + (-5 - -7)? -4 Calculate -7 + (-4 + -1 - -8). -4 What is the value of -6 + (4 - 1) + 3 + -1? -1 Evaluate (-6 + -7 - -13) + 10. 10 What is 0 - 3 - (0 + 1)? -4 What is the value of 1 + ((-6 - -22) + -7 - 2)? 8 What is (-1 - (1 - 1)) + (-8 - -5)? -4 Evaluate 7 + (0 + -5 - -7 - 13). -4 Calculate (11 - (16 + -12)) + -7 + 1. 1 Calculate -3 + (-6 - -20) + -7. 4 4 - 5 - (3 + 0) -4 Evaluate -1 + -14 + (21 - 10). -4 What is -3 + 6 - (14 - 12)? 1 What is the value of -1 + 9 + 0 + -12? -4 What is (-1 - 9) + (-11 - -25) + -6? -2 Evaluate 3 - (2 - (-5 - -8) - -1). 3 Evaluate -3 - ((-8 - -10) + (-3 - -2)). -4 0 - ((-1 - 2) + (19 - 13)) -3 (7 - 8) + 4 - (8 + -1) -4 13 + 7 + 0 + (-28 - -14) 6 Evaluate (4 - (-1 - (-10 - 4))) + 4. -5 What is the value of -2 - ((3 - 18) + 6)? 7 What is the value of 1 + (3 - (-2 - -3))? 3 What is the value of 0 - -6 - 5 - -2? 3 What is -2 + 1 + (2 - 1) + -3? -3 Evaluate 8 + (-15 - 5) + 11. -1 Calculate 8 - (-3 + (5 - -2)). 4 Evaluate 18 - 12 - 2 - 9. -5 What is 11 + -5 - (0 - -11)? -5 Calculate 31 + -13 + 1 - (9 + -1). 11 What is the value of (-2 - -5) + -3 - -5 - 2? 3 Calculate -3 + 2 + 2 + 2 - 4. -1 What is 1 + (0 - 2) + 6 + 0? 5 Calculate -3 + 5 + -3 + 1. 0 Calculate 3 + -3 + 3 + 0. 3 Evaluate -75 + 69 - (1 + -5 + 1). -3 Evaluate -2 - 0 - 0 - (-25 - -19). 4 What is (-8 - (-3 - 1)) + 2 + -4? -6 What is the value of 6 - (-1 - -3) - (-4 - -9)? -1 Evaluate 11 + (0 - (-8 + 7 - -4)). 8 What is -6 - (3 + 0) - -6? -3 Evaluate (0 - -1) + -9 + 3. -5 What is (0 - 6) + 8 + -5? -3 Calculate -4 + (-4 + 9 - -4 - 2). 3 What is the value of -7 + (-6 - (7 - (10 + 4)))? -6 What is the value of 0 + -1 + 1 + 9 + -5? 4 Calculate 6 + (-11 - 2) + 11. 4 (-27 - -30) + -2 + -2 - 6 -7 Evaluate -6 + -2 + -3 + 18. 7 39 + -36 - (-2 + 1 + 0) 4 What is the value of (-9 - -1 - -3) + (4 - 3)? -4 Calculate 8 - (20 - (-3 - -9)). -6 7 - (-4 - (-13 + (5 - 7))) -4 What is the value of (13 - 9) + (2 + -1 - 2)? 3 What is the value of -10 - ((-8 - -1) + 3 + 1)? -7 0 + 4 + -2 + -14 + 12 0 -2 - 5 - (3 - 13) 3 What is 1 + 5 + -10 + 1? -3 What is 60 + -58 + (1 - 9)? -6 Evaluate (3 - 1 - 8) + 2. -4 -1 + 5 + 0 + 0 + 1 5 Evaluate 3 - (-3 + 3 + (-4 - 0)). 7 What is the value of 3 - 21 - -14 - (-5 + 0)? 1 1 + (3 - 4 - -5) 5 (-16 - ((0 - 3) + -1)) + 2 -10 Evaluate -5 + (5 - 7 - (2 - 7)). -2 What is the value of -17 - (11 - 6 - 15)? -7 Calculate -3 + 2 + 5 - 10 - -3. -3 What is the value of 3 - (-3 + (4 - -1))? 1 2 + (-11 - (-8 - -2)) + 7 4 6 + -7 + 5 - 7 -3 Calculate -1 - (1 - -1) - -1. -2 What is the value of (-2 - (-7 + 0)) + (-83 - -74)? -4 What is (-6 - (-7 + -5)) + 0? 6 What is the value of -2 - (4 - (-6 + 11))? -1 Evaluate (-1 - (4 - 4)) + (-4 - 0). -5 -3 - (-1 + (-3 - 1) - 1) 3 What is the value of (-4 - (-2 + 3)) + 3 - 6? -8 -4 + 5 + 2 + -8 - -7 2 What is 6 - ((-9 - (-2 + -4)) + 4)? 5 Calculate 2 - (1 - -3) - -3. 1 What is -6 - -6 - (0 + -9)? 9 Calculate -168 - -169 - (3 - -1). -3 0 - (9 - (5 + -1)) -5 What is -104 + 100 - (1 - (-1 + 11))? 5 Evaluate -14 + -4 + 7 - -7. -4 Calculate 6 + -4 + 0 + -1. 1 Evaluate (4 - 7) + (-2 - (3 + 0)). -8 What is 0 - -1 - (-7 + 4 - -4)? 0 What is the value of (-6 - 1) + (10 + -1 - 6)? -4 -12 + 11 - -3 - (0 + -4) 6 What is 2 + (17 - 18 - (2 + -8))? 7 What is the value of -11 - (7 + -4 - 11)? -3 Calculate (-4 - 0) + 10 + (4 - 4). 6 What is -103 + 90 + (15 - 1)? 1 What is -3 + -10 + 16 + (-1 - 5)? -3 (-3 - (2 + 1)) + 7 + -1 0 -10 - (-8 - (-2 + 9 + -13)) -8 Calculate 6 + -7 - (20 - 24). 3 What is (7 - 2) + -5 - -5? 5 (0 - 3) + (-2 - 3) + 9 1 What is the value of (4 + -1 - 4) + -19 + 20? 0 What is 8 + -7 + 2 + -7 + 2? -2 Calculate -13 - (0 + (-9 - -2)). -6 Calculate -5 + 0 + 1 + -5 + 4. -5 What is the value of -3 - (-2 + -1) - 1? -1 (-1 - -1 - 5) + 3 - -2 0 What is 4 + (-1 - -1) + -6 - 3? -5 What is the value of -6 + 2 - (0 + 0 - 3)? -1 What is -4 + (-3 - -3) + 8? 4 6 - 8 - (-3 - -1) - 0 0 What is (8 - 0 - 2) + -1? 5 Calculate -16 - (4 + -6) - -7. -7 What is the value of 3 - (-9 + 5 + 8)? -1 Calculate (9 - 12) + (2 - 5). -6 What is the value of 6 - 7 - 3 - (0 + -10)? 6 Calculate -143 - -148 - (-3 + 1). 7 Calculate -11 - (-2 + -3 + 0). -6 -5 - 0 - -4 - 4 -5 What is -6 + (12 - (6 + -5))? 5 Calculate -4 - (8 - 4 - (3 + 10)). 5 What is 2 - 0 - (4 - 0)? -2 Calculate 6 + -13 - -10 - 8. -5 Evaluate -2 - ((-7 - -4) + -5 + 5). 1 13 - (7 - (0 + 0)) 6 Evaluate 3 + 0 + 9 + 7 + -23. -4 Calculate 1 + 8 - 12 - -2. -1 -1 + 10 + -5 - (0 - -8) -4 Calculate (4 - -1) + 1 + -7. -1 What is 5 + -1 + -8 + 7 - 1? 2 Calculate 1 + -1 + -2 - (19 - 21). 0 What is -4 - -2 - (-12 - -16)? -6 Evaluate (4 - 0) + -19 + -12 + 19. -8 Calculate -12 + (11 - 8) + 13. 4 What is the value of (3 - 6) + 1 + 2? 0 What is the value of (-1 + 4 - -4) + -6? 1 What is (-9 - -2) + (-5 - -7 - -1)? -4 Calculate -1 - (4 - 0 - 1). -4 What is the value of -9 + 8 - (1 - -1 - 0)? -3 What is 6 + (11 - 11) + 1? 7 What is (1 + 1 - -1) + 359 + -371? -9 -1 + 0 - (1 + -2 - 1) 1 Evaluate 0 + 3 + 1 + -1 + 2. 5 What is 1 + (-10 - 0) - -10? 1 What is the value of 2 + -4 + -1 + 3? 0 4 + -2 + 1 + -3 0 What is 5 + 1 - (0 + 10 + 3)? -7 What is the value of 9 + -12 - (0 + 0)? -3 Evaluate -6 - (-4 + 2) - -4. 0 What is 3 + -4 + 2 + 2? 3 Evaluate (2 - 0) + (6 - 10). -2 What is 6 - (-8 + 15 + -5)? 4 Calculate 1 + (2 - -1) + (-1 - -1). 4 What is (-3 - -4) + -5 - 2 - 0? -6 Evaluate -5 + 10 + -5 - -1 - -5. 6 -3 - ((0 - -4) + -8 - -5) -4 Evaluate -2 + 3 + -3 - -7. 5 Calculate (-5 - (-6 - (0 + -4))) + -3. -6 Evaluate 6 + (-4 - -3) - 1. 4 -6 + 7 + 1 + 2 + 2 6 Calculate 5 + -4 + -2 + -1. -2 Calculate 3 - (7 + -9 + 5). 0 -3 + (7 - 6) + 1 -1 What is the value of (6 + 1 - (-36 + 41)) + 0? 2 0 + -5 + (-4 - -7) -2 What is the value of 77 + -82 - (0 + 0)? -5 What is the value of 3 + -6 + -3 + 6? 0 What is the value of -4 + 6 + -4 + (5 - 4)? -1 What is the value of -1 + 10 + -7 - (-3 - -4)? 1 What is -18 - -15 - (3 - (3 - -10))? 7 What is (30 - 10) + -10 + -6? 4 What is 4 + -6 - -7 - (2 - -3)? 0 4 - (3 - (-6 + 7) - 2) 4 Evaluate -5 - (-3 - -1 - (-4 + 5)). -2 -1 + (-3 + 2 - -7) + -6 -1 (5 - 24 - -7) + 4 + 0 -8 Calculate (1 - (-1 + -1)) + -8. -5 What is the value of -2 + (-5 - (-5 + 2))? -4 Evaluate -3 + (-1 - -5 - (69 - 77)). 9 Calculate -3 + (-2 + -2 - -3). -4 Evaluate 3 + 2 + 0 + -2 + -8. -5 What is the value of 5 - (-9 + 4 - -4) - 2? 4 Calculate 0 - (2 + -8 + 0) - 12. -6 (1 - (-9 - -4)) + -5 1 Calculate 0 - -2 - 4 - (3 - 7). 2 What is the value of (0 + -4 + 2 - 2) + 0? -4 Calculate -2 + 2 + -3 + (-4 - -7). 0 (-4 - 3) + 8 - 5 -4 0 + 6 - ((18 - 9) + -7) 4 What is the value of 3 - ((13 - 5) + -5)? 0 What is 14 + (-6 - 2) - 7? -1 Calculate -3 - (3 - (5 - -4)). 3 What is the value of 17 + 0 + -8 - (1 - -1)? 7 Evaluate (7 - 15) + 4 + -3 + 1. -6 Calculate 8 + (-14 - -13) + -11. -4 Evaluate 4 + 0 - 0 - 8. -4 What is the value of -101 + 92 + 1 + 13? 5 Calculate (-5 - 3 - (1 - 3)) + 3. -3 What is the value of 19 + 4 + -13 + -10? 0 What is (12 - (-6 - -2)) + 8 + -13? 11 Calculate 65 + -58 + -1 + -1. 5 Calculate -8 + 21 - 4 - 13. -4 Calculate -49 + 44 - (1 + -1). -5 Evaluate (-8 - -2) + 1 + 2 - 1. -4 Evaluate (2 - 2) + 2 - 3. -1 Calculate -3 + 11 + -2 + -3. 3 What is the value of -7 - -3 - (2 + -5)? -1 Calculate 0 + -5 + 6 - 2. -1 What is the value of -3 - (5 + -3 + -9)? 4 What is the value of 1 + -3 + 0 + -15 + 19? 2 (2 - 6) + (-3 + -3 - -5) -5 What is -5 + 8 + -4 - 2? -3 1 + -4 + 58 + -57 + -6 -8 Evaluate (0 - 5 - -5) + -6. -6 Evaluate -3 + (5 - -1) + -8 + 4. -1 Evaluate 4 - (-6 - -5) - 6. -1 What is the value of (12 - 5) + -5 - 2? 0 Evaluate (2 - 2) + -1 + 2. 1 Calculate 3 - (2 + (0 - (-3 - -1))). -1 What is the value of -7 + 2 + (1 - 0) + 0? -4 Calculate -4 + 10 + -3 + -5. -2 1 + -5 + 5 + 0 + 3 4 Calculate (8 + 0 - 13) + 2. -3 What is the value of -11 - (3 - (1 + 9))? -4 1 + (-1 - 0 - 1) + 3 2 Calculate -1 + (2 - 7) + 7 - 9. -8 What is 25 + -28 - (0 - 5)? 2 What is the value of (13 - (0 + 1)) + -8? 4 -3 + (-5 - (-1 + -6)) -1 What is 1 + 1 + -11 + 2 + 2? -5 What is the value of 4 - (9 - 3 - -2)? -4 Evaluate 11 - (10 - (-1 - -9)). 9 Evaluate 7 - 9 - (3 - 4). -1 What is -16 + 8 + 5
{ "pile_set_name": "DM Mathematics" }
What is the third derivative of g(a) wrt a? -505440*a**3 Differentiate -10558*r + 3819*r - 18618 + 14327 wrt r. -6739 Let d(h) be the third derivative of -19*h**5/20 + 629*h**4/6 + 26*h**2 + 4. Find the second derivative of d(q) wrt q. -114 Let z(b) be the third derivative of -239*b**8/112 - 343*b**5/60 - 440*b**2. What is the third derivative of z(p) wrt p? -43020*p**2 Let l(t) be the third derivative of -23*t**2 - 79/210*t**7 + 0*t + 1/3*t**3 + 3/2*t**4 - 2 + 0*t**5 - 1/120*t**6. What is the second derivative of l(j) wrt j? -948*j**2 - 6*j Let m(y) be the third derivative of y**7/105 + 107*y**6/15 + y**5/60 + 6097*y**3/6 + 1696*y**2 + 2*y. Find the first derivative of m(o) wrt o. 8*o**3 + 2568*o**2 + 2*o Let m(w) = 6*w**3 - 2*w + 16. Let n be m(0). Find the third derivative of 15*x**3 - 58*x**3 + 19*x**5 - 244*x**2 + n*x**3 + 11*x**3 + 17*x**3 wrt x. 1140*x**2 + 6 Let l(x) = -2. Let g(a) = -5. Let u(p) = g(p) - 2*l(p). Let o(d) = 9*d**3 - 3*d**2 - 19. Let i(b) = -o(b) + 6*u(b). Find the first derivative of i(z) wrt z. -27*z**2 + 6*z Let y = 170/439 + 99/878. Let x(i) be the first derivative of -21 + 9*i + y*i**2. Differentiate x(a) with respect to a. 1 Let t(v) = 3*v**2 - 13*v - 5. Let d be t(5). Find the third derivative of 3*g + 64*g**2 + 14*g - 15*g**d - 62*g**2 wrt g. -900*g**2 Let w(n) = -7452*n**2 + 11*n + 321. Let r(c) = -3727*c**2 + 5*c + 161. Let u(v) = -9*r(v) + 4*w(v). What is the second derivative of u(k) wrt k? 7470 Let l = -2812 + 2815. Let j(m) be the second derivative of 0 + 0*m**2 - 7*m + 0*m**4 - 7/2*m**l + 1/10*m**5. Find the second derivative of j(k) wrt k. 12*k Let k(c) = 9*c**2 + 526*c - 8821. Let a(p) = 4*p**2 + 266*p - 4411. Let w(v) = -7*a(v) + 3*k(v). What is the first derivative of w(o) wrt o? -2*o - 284 Let u(y) be the second derivative of -y**7/14 - 153*y**5/20 + y**3/3 - 5625*y**2/2 + 4968*y. What is the second derivative of u(l) wrt l? -60*l**3 - 918*l Find the second derivative of -3464*d + 12 + 6644*d + 3568*d**2 - 3377*d wrt d. 7136 Let s(i) be the third derivative of 315*i**4/4 - 256*i**3 - i**2 + 167*i. Find the first derivative of s(q) wrt q. 1890 Let i(s) = -7*s**3 - 237*s**2 + 1132*s + 20. Let q(l) = 6*l**3 + 119*l**2 - 566*l - 8. Let p(n) = 2*i(n) + 5*q(n). Find the second derivative of p(k) wrt k. 96*k + 242 Let o(a) be the third derivative of -a**9/168 + a**8/168 + 139*a**6/60 - a**5/20 - 304*a**3 - 22*a**2 + a - 41. Find the third derivative of o(f) wrt f. -360*f**3 + 120*f**2 + 1668 What is the derivative of 109*s - 333*s + 108*s + 1388 + 151*s**2 + 116*s wrt s? 302*s Suppose 0 = -2*c - 2*u + 4, 4 - 12 = -4*c + 4*u. What is the second derivative of 35*l**5 - 12*l**2 - 13*l**c - 45*l + 23*l**2 wrt l? 700*l**3 - 4 Find the third derivative of -560*b**3 + 7207*b**2 + 1153*b**3 + 1777*b**3 - 303*b**3 wrt b. 12402 Let n(b) be the third derivative of -5*b**4/24 - 10*b**3/3 - 11*b**2. Let x be n(-5). What is the second derivative of x*p**3 - 3*p**3 - 106*p + 86*p wrt p? 12*p Let c = 258 + -228. Find the second derivative of -422 + 422 - c*z + 23*z**3 + 4*z wrt z. 138*z Let u(v) be the third derivative of -6269*v**5/60 + 2764*v**3/3 - v**2 - 5876*v + 2. Differentiate u(n) with respect to n. -12538*n Let n(b) = 161*b**2 + 11401*b - 42. Let p(h) = 16*h**2 + 1140*h - 4. Let v(m) = 2*n(m) - 21*p(m). Find the second derivative of v(k) wrt k. -28 Suppose j - f = 3*f + 18, 4*j + 3*f + 4 = 0. Let d be ((-107)/2)/((-1)/j). Differentiate -2 - 112*k - d*k + 246*k + 20 with respect to k. 27 Let g(i) = 6 + 3*i - 3 + 2 + i. Let w be g(1). What is the second derivative of 6 - 35*l + 3 - 38*l**2 - w wrt l? -76 What is the third derivative of 3436*c + 2664*c - 4693*c + 2*c**2 - 1 - 2491*c**6 wrt c? -298920*c**3 Let q(z) = -1997*z**4 + 11*z - 10482. Let d(p) = -1331*p**4 + 8*p - 6988. Let i(t) = -7*d(t) + 5*q(t). What is the second derivative of i(f) wrt f? -8016*f**2 Let q(m) = -4*m**2 - 35*m + 17. Let o be q(-9). Differentiate -o*p**3 - 15 - 5*p**2 - 10 + 5 - 13 wrt p. -24*p**2 - 10*p Find the second derivative of 726*d**2 + 2 - 28699*d - 4433*d**2 + 30147*d wrt d. -7414 Let b(n) = 6*n**3 - 23*n**2 - 15*n + 2958. Let m(o) = 5*o**3 - 24*o**2 - 20*o + 2959. Let w(t) = -4*b(t) + 3*m(t). Differentiate w(q) wrt q. -27*q**2 + 40*q Let p(n) = n**3 - n**2 - 2*n + 15. Let a be p(3). Differentiate -92*d**3 + 23*d + 94*d**3 + a*d + 66 with respect to d. 6*d**2 + 50 Let n(j) = -j**2 + 4*j + 8. Let m be n(5). Suppose -12 = 2*a + 4*x, 0*x + 3*x + 9 = -m*a. Differentiate 12 + a - 2 + 3*b**4 + 2*b**4 with respect to b. 20*b**3 Suppose 0 = 3*t - 6*t + 30. Let s be (-10)/(-3)*15/t. Find the third derivative of -4*x**2 - 2*x**2 - 8*x**2 - 4*x**4 - s*x**4 wrt x. -216*x Let y = 453 - 450. What is the derivative of 20 + 26*b**y + 4*b**3 + 72*b**3 + 42 + 23 wrt b? 306*b**2 Let o(c) = -c**3 - c. Let h(b) = b**2 - 15*b - 16. Let t be h(16). Let p be o(t). What is the third derivative of 6*r**3 - r**2 + r**3 + p*r**2 + 22*r**2 wrt r? 42 Let u(y) = 3*y**3 + 3*y**2 - y - 1. Let s be u(3). Suppose -s = 10*m - 14*m. What is the second derivative of -m*a**3 + 2*a + 9*a**3 + 3*a**3 wrt a? -84*a Let y(p) = -723*p**3 + 4*p**2 - 24. Let r(h) = -1448*h**3 + 9*h**2 - 46. Let j(q) = 4*r(q) - 9*y(q). Find the first derivative of j(s) wrt s. 2145*s**2 Let l(t) = 17625*t**3 - 16*t**2 - 136*t - 7251. Let p(z) = -5875*z**3 + 6*z**2 + 51*z + 2417. Let n(v) = -3*l(v) - 8*p(v). What is the derivative of n(u) wrt u? -17625*u**2 Let t(o) = 1810*o - 91. Let q(c) = 3621*c - 191. Let z(b) = -3*q(b) + 5*t(b). What is the derivative of z(r) wrt r? -1813 What is the third derivative of 675*o**5 + 2952*o**2 + 577*o**4 + 0*o**3 + 0*o**3 - 577*o**4 wrt o? 40500*o**2 Let g(q) be the third derivative of 0*q**5 + 1/8*q**4 - 31/120*q**6 - 52*q + 0 + 2*q**2 - 2/3*q**3. What is the second derivative of g(d) wrt d? -186*d Let j(a) = 778*a**4 + 4*a**3 + 2735*a + 4. Let n(k) = -779*k**4 - 3*k**3 - 2736*k - 3. Let m(i) = -3*j(i) - 4*n(i). Find the second derivative of m(g) wrt g. 9384*g**2 Let h = 3 + 2. Suppose 23 + 92 = 23*o. What is the second derivative of -63*g**h + g + 77*g**o + g wrt g? 280*g**3 What is the third derivative of 600*h**2 + 511*h**2 + 957*h**2 - 431*h**4 + 3040*h**4 wrt h? 62616*h Find the second derivative of -3717*a**3 + 1532*a - 39*a**4 - 44*a**4 + 3717*a**3 wrt a. -996*a**2 Let j(i) = 14*i + 24. Let w be j(3). Find the second derivative of 687 - 687 + 6*s + w*s**2 wrt s. 132 Let f(j) be the third derivative of -j**4/24 + 5*j**3/3 + 12*j**2. Let d be f(8). Find the third derivative of 11*b**2 - 3*b**d - 3*b**2 + b**2 - 11*b**3 wrt b. -66 Let a = -31 + 31. Let p = a + 24. What is the second derivative of 14*y**2 + 13*y**2 - 4*y - p*y**2 wrt y? 6 Let n(p) be the first derivative of 0*p + 0*p**4 + 96 - 82*p**2 + 4/3*p**3 + 0*p**5 + 2*p**6. What is the second derivative of n(m) wrt m? 240*m**3 + 8 Let w be (-2)/7 + (-8424)/(-84). Suppose -w = -3*b - b. Find the third derivative of 206 + b*g**2 - 8*g**3 - 206 wrt g. -48 Let c(r) = -r**4 - r**2 - 2*r + 1. Let n(b) = -2*b**4 - 14*b**2 - 28*b + 16. Let a = -60 - -18. Let v(x) = a*c(x) + 3*n(x). Differentiate v(h) wrt h. 144*h**3 Let h(d) = d**4 - d**3 - 509*d**2 - 8688*d - 30. Let w(l) = -2*l**2 - l - 3. Let i(u) = h(u) - 10*w(u). What is the second derivative of i(y) wrt y? 12*y**2 - 6*y - 978 Let j(q) = 41 - 50*q - 28*q + 38 - 1. Let f(r) = -79*r + 78. Let n(m) = 3*f(m) - 4*j(m). What is the derivative of n(w) wrt w? 75 Let h(g) = -g**2 + 9*g - 14. Let b be h(7). Suppose b = -z + 10 - 6. What is the second derivative of -11*v**4 - v**z - 940*v + 928*v wrt v? -144*v**2 Let b = 303 - 201. What is the third derivative of -11*u**4 + 32*u**3 - 35*u**2 + 9*u**4 - b*u**2 wrt u? -48*u + 192 Let x(i) = -2415*i + 1298*i + 5 + 1260*i. Let h(l) = 283*l + 10. Let y(b) = -2*h(b) + 5*x(b). Differentiate y(o) with respect to o. 149 Let h(o) = o**4 - o**2 + o - 2. Let d(z) = 1378*z**4 - 4*z**2 + 4*z - 3084. Let q(t) = d(t) - 4*h(t). Differentiate q(w) with respect to w. 5496*w**3 Let t be 10 + 2 + -4 + -5. Suppose 0 = -11*b + 9*b + 40. What is the second derivative of 5*g - g - b*g**3 + 38*g**t wrt g? 108*g Let p(x) be the second derivative of 17*x**6/30 + x**5/20 - 2*x**4 - 433*x**3/2 + 4*x + 358. What is the second derivative of
{ "pile_set_name": "DM Mathematics" }
+ (5 - 4 + 0)*(2 - 2 - 2) + 0 - 5 + 3)*(7*p - 16*p + 19*p) to the form a*p + h + u*p**2 and give u. 20 Express 1 + 2 - 7*p**3 + 12*p**3 in the form q*p**2 + n*p**3 + w + l*p and give n. 5 Rearrange ((2 + 0 - 4)*(-2*u - 2 + 2) + 3 - 3*u - 3)*(0 + 0 + 3)*(-2*u**3 + u**3 + 2*u**3) to the form k*u**3 + w*u**2 + a + b*u**4 + h*u and give b. 3 Express (-14 + 1 + 0)*(4*f + 0*f - 3*f)*(-5*f**2 + f**2 + 1 + 5*f**2) in the form g*f**3 + o + q*f**2 + l*f and give g. -13 Rearrange x**3 + x**3 + x**2 - 3*x**3 + 4*x**4 + 2*x**3 to the form r*x**2 + i + h*x**4 + w*x + n*x**3 and give h. 4 Rearrange (-4 + 3 + 9)*(-5 + 3 + 4 + 2 + 2 - 3 + (-2 - 2 + 2)*(-1 - 1 + 1))*(0 - 3 + 1)*(r + 2*r - 4*r) to the form j + b*r and give b. 80 Rearrange (0*r - 2*r + 4*r)*(5 - 1 - 3)*(-2 + 3 + 3) to the form g + s*r and give s. 8 Rearrange (1 + 2 - 5)*(189*z - 189*z + 73*z**3) + 3*z**3 + 2*z**3 - 4*z**3 to the form t*z**3 + w + q*z + b*z**2 and give t. -145 Express (6*s - 12*s - 22*s)*(-3 + 6 + 7)*(-3 + 2 + 3) in the form b + o*s and give o. -560 Rearrange 5*q**2 - 3*q**2 + 3*q - 5*q - q to s*q + c + k*q**2 and give s. -3 Rearrange 2*w**3 - 4*w**4 + 9 - 2*w**3 + 2*w**3 to the form g*w + b*w**3 + f + u*w**2 + q*w**4 and give f. 9 Express 2*a + 9*a + 3*a + 0*a in the form s*a + z and give s. 14 Express (5*k + k + 3*k + (2 - 1 + 0)*(-4*k + 2*k + 4*k))*(0 - 2 + 1) in the form s*k + p and give p. 0 Express -9*k**4 + 1914 + k - 1914 - 3*k**3 as p*k + r*k**4 + q*k**3 + l*k**2 + s and give r. -9 Express o**2 - o**2 - 5*o**2 as f + h*o + v*o**2 and give v. -5 Express 4*b - 15*b - 3*b - b in the form f + x*b and give x. -15 Express (0*i + 18*i - 2*i)*(-i + 0*i - i + 0*i + i - 2*i + 2*i - 2*i + i + (0*i - i + 3*i)*(3 - 1 - 1) + i - 2*i + 3*i) as m*i + b + x*i**2 and give x. 32 Express (1 + 1 - 5)*(15*a - 28*a - 29*a) + (-a - 2*a + 4*a)*(0 + 1 + 1) as w + d*a and give d. 128 Express 2*w + 4*w + 8*w in the form i*w + y and give i. 14 Express 18*j**2 + 12*j - 17*j**2 + 3*j**3 + 0*j**3 - 4*j**3 as m*j + d*j**2 + k*j**3 + p and give p. 0 Rearrange 8 - 5 + 0*s - 4 + 4*s + s**4 to d*s**2 + o*s**4 + x + i*s**3 + l*s and give l. 4 Express 3 - 3 + 18*f**2 + 2*f**2 in the form t*f**2 + q*f + z and give t. 20 Express (h - h - 2*h**3)*(-7 - h + 3*h + 3 + (h + 4*h - 3*h)*(5 + 3 - 6)) as x*h**4 + z*h + o*h**2 + i*h**3 + f and give i. 8 Express 2*u**3 - 2*u - 1 + u - 4*u + 4*u in the form c*u**3 + b*u**2 + f + j*u and give c. 2 Express -9 + 144*w + 7 + 2 in the form o*w + j and give j. 0 Express (0*g + 0*g - g)*(9 - 1 + 41) as k + c*g and give c. -49 Express 3*x**2 + 48*x - 2 - 48*x in the form w + b*x**2 + u*x and give u. 0 Rearrange 16*o - 7*o**2 + 85*o**2 - 16*o to w + u*o + h*o**2 and give h. 78 Rearrange (-1 - 2*g**2 - g**2 + 2*g**2)*(g + g - 7*g) to the form u*g + o*g**2 + n*g**3 + t and give o. 0 Rearrange 56 - 61 + 0*a + 3*a to the form s + u*a and give u. 3 Rearrange 2*u - 8*u - 8*u to the form h*u + y and give h. -14 Rearrange -1 - 5*a**3 + 1 + (-4*a + 4*a + 2*a)*(-3 + 3 - 2*a**2) - a**3 - 3*a**3 - a**3 to f*a + m*a**3 + q + h*a**2 and give m. -14 Express 9*t + 5*t - 8*t as b*t + x and give b. 6 Express -2*o + 3*o + 0*o + (5 - 2 - 1)*(o - 2*o - 2*o) + (5 - 1 - 3)*(-2*o + 0*o + o) in the form y*o + d and give y. -6 Express -24*p - 11*p - 30*p - 77*p in the form t + m*p and give m. -142 Rearrange -67*t + 91 - 46 - 47 to g*t + q and give q. -2 Rearrange -u**2 + 0*u**2 + 4*u**4 - 2*u**4 + 8*u**3 to g*u**3 + n + h*u**2 + f*u + w*u**4 and give h. -1 Express -47*h + 20*h + 21*h - 67*h in the form m*h + f and give m. -73 Rearrange 2*w**3 - w**3 - 4*w**3 - 2*w**2 - 5 to f*w**3 + s*w + a*w**2 + c and give a. -2 Express (-3*m**2 - 10*m**2 + 7*m**2)*(9*m**2 - 2 + 2) in the form n + r*m**4 + s*m**3 + k*m**2 + v*m and give r. -54 Express -p + 12*p**2 - 3*p**3 - 3*p**3 + 9*p**3 as d*p**2 + k*p + q + g*p**3 and give d. 12 Rearrange -5*z**3 + 517*z + 2*z**2 + 2 - 517*z to r + d*z + s*z**2 + x*z**3 and give x. -5 Rearrange (-4 + 0 + 0)*(1 - 1 + 2*f**3) + (-2 + f**3 + 2)*(-1 + 1 + 1) to m + b*f**3 + a*f + w*f**2 and give b. -7 Express ((2 - 2 - 2)*(2 - 2*m - 2) - m + 2*m - 3*m)*(4*m + 0*m - 2*m) as c + w*m + h*m**2 and give h. 4 Rearrange (4*n - 2*n + 0*n)*(19*n - 38*n + 21*n) - n**2 - 2*n**2 + 2*n**2 + (3*n - 3*n - 2*n)*(n - 4*n + n) to y*n**2 + b*n + z and give b. 0 Express 4*h**4 - 2 - 309*h**2 + h + 310*h**2 + 6*h**4 in the form q*h + k*h**2 + r*h**3 + s*h**4 + d and give s. 10 Express 3 - 3 + 10*u**3 + (-2*u + u**2 + 2*u)*(2*u + u - 5*u) + (-1 + 3 - 3)*(-u + u + 2*u**3) in the form q*u**3 + g*u + v + s*u**2 and give q. 6 Express (-h**2 - 2*h**2 - 2*h**2)*(h - 3 + 3) as y*h**3 + k*h**2 + z*h + r and give z. 0 Express -1606*l**2 + 1610*l**2 + 1 + 0 in the form u*l + s*l**2 + z and give s. 4 Express 2*w**2 + w - 5*w**2 + 2*w**2 - 4*w as n*w + i + y*w**2 and give y. -1 Express 1 + 1 - 27*z - 54*z in the form c*z + v and give v. 2 Express (-4*f + 3*f + 0*f)*(-10*f + 4 - 4) - f**2 + 2*f - 2*f as t + y*f + k*f**2 and give k. 9 Rearrange (-2*s - s + 5*s)*(18*s - 18*s - 19*s**2) + (0 + 1 + 0)*(s**3 - s**3 - 2*s**3) to b*s**3 + n + i*s**2 + m*s and give b. -40 Express 32 - 32 + 55*u as a*u + m and give a. 55 Rearrange 0*g**2 + 5*g**2 + 0*g**2 - 3*g**2 - 2 - 5*g to the form h + d*g**2 + q*g and give h. -2 Rearrange 5*y + 10*y - 22*y + 3*y - y - y + (2 + 2 - 6)*(y + y - 3*y) to the form j + t*y and give t. -4 Express 18 - u - 18 - u - 1 + 1 - 4 + 4 - 2*u + (2 + 2*u - 2)*(-2 + 7 - 3) - 2*u - u - 2 - u in the form h*u + x and give x. -2 Rearrange -22*v**2 + 10*v**2 - 39*v**2 to the form c*v**2 + b*v + p and give c. -51 Rearrange -1 + 38*f + 1 - 22*f to the form c*f + r and give c. 16 Express 0 - 10 - 3 + 2*o - o**2 as h*o + s + x*o**2 and give x. -1 Rearrange (c + 1 - 1)*(8*c - 4*c + 7*c)*(-3 + c + 3) - 4*c**3 - 2*c + 2*c to s + i*c**2 + f*c + m*c**3 and give m. 7 Express -5*m**3 + 0*m**2 + 6*m**3 + 5*m**2 + m**2 as r*m + y*m**2 + g + v*m**3 and give v. 1 Rearrange 5*u**2 + 0*u + 0*u + 2*u**2 - u**2 + u**2 + (3*u - u + u)*(-u + 4 - 4) + 3*u**2 - 3*u**2 - u**2 to f + g*u + y*u**2 and give y. 3 Rearrange (-2*d + 2*d + 4*d)*(2 - 1 + 1 + (-5 + 5 + 2)*(4 + 3 - 4)) + d + 2*d - d to p + w*d and give w. 34 Express 3*o**3 + 0 - 2*o**4 + o**3 + 3 as r*o + q*o**2 + x*o**3 + m + t*o**4 and give t. -2 Express -1 - 33*z**3 - 2*z**3 + 2 + 5*z**3 as u*z + b*z**2 + m + o*z**3 and give m. 1 Express (2*o - 1 + 1 - o + 5*o - 3*o + (0 + 2 - 1)*(-4*o + 4*o + o))*(2*o + 4 - 4 + o**2) as k*o**3 + y + d*o + i*o**2 and give i. 8 Express -2 + 2 + 4*r**2 - 16*r**2 in the form b + u*r + k*r**2 and give k. -12 Express 6*f**2 - 4*f**3 - 5*f**2 - 2*f**4 + 4*f**4 as i*f**3 + o + b*f + z*f**2 + m*f**4 and give i. -4 Rearrange -2*y**2 - 2*y**3 + 2*y + 7 - 4 + 8*y**4 + 0*y**2 - 15*y**4 to b*y**3 + k + h*y**2 + m*y**4 + x*y and give k. 3 Rearrange (4*q - 4*q - 2*q)*(-1 + 0 + 3)*(10*q - 2*q - q) to the form x*q**2 + b + t*q and give x. -28 Express 7*m + 0 + 2*m**2 + 0 - 12*m in the form d + i*m + a*m**2 and give a. 2 Express -43*v**4 + 299*v - 299*v + (4*v**2 - 4*v**2 + v**4)*(4 - 3 + 1) in the form a*v**2 + f*v**3 + t*v**4 + b + k*v and give t. -41 Rearrange (3*z - z - 3*z)*(-4 + 5 - 3)*(-2 + 1 + 3) + (-2 + 1 + 0)*(5*z - 3*z + 3*z) to the form j*z + f and give j. -1 Express 51*o + 1 - 1 - 62*o as l + v*o and give v. -11 Express b + 1 + 3*b**2 + 12*b**3 - 17*b**3 - 3*b**2 as j*b**2 + q*b + u*b**3 + a and give a. 1 Express 5*w - w**3 - 3*w + 1 + 0 + 6 in the form y + d*w**3 + i*w**2 + r*w and give d. -1 Express -7*j**4 - 13*j + 10*j + 0*j**4 - 1 - j**3 + 0*j**4 as x*j**4 + w*j**3 + g + o*j**2 + h*j and give h. -3 Express -3*y**4 + 0*y**4 + y**4 + 2*y**2 + 3*y - 7*y in the form t*y**2 + g + o*y**3 + w*y**4 + l*y and give w. -2 Express -32 - 7 - 4*t**2 - 34 + 3*t**2 as j*t**2 + h*t + w and give j. -1 Express (-131*g**2 - 43*g**3 + 131*g**2)*(-3*g + 5*g + g) as t*g + b*g**4 + y*g**2 + f + x*g**3 and give b. -129 Rearrange (-5*h + 3 - 3)*(2 - h + 2*h + h) to the form n*h + r*h**2 + s and give r. -10 Express -25 + 43 - 16 + 87*x as w*x + f and give w. 87 Rearrange (-4 + 1 + 0)*(0 - 2*g + 4 - g) + 3*g + g - 3*g to the form k*g + i and give k. 10 Express (-f - 5*f + 5*f)*((-4*f + 4*f + 2*f)*(2 - 4 + 3) + (-3 + 2 + 0)*(-8*f + f + 2*f)) as o*f**2 + p + l*f and giv
{ "pile_set_name": "DM Mathematics" }
- 18/(-45)? -2/17 (12/(-3) + (-30)/(-5))*-4 -8 Calculate 48/9*21/28. 4 Evaluate (-70)/(-8) + -4 + 51/12. 9 -1 - (-43)/(-11) - -5 1/11 (12/18)/(-1)*6/4 -1 Calculate (25/(-10) - -3)/(-1)*3. -3/2 What is ((-1078)/(-66) - 18)*1*3? -5 What is the value of 7/14 + (-4)/2? -3/2 Calculate ((-18)/(-20))/(39/65). 3/2 What is the value of 0/(-1) - (1 + 1/(-4))? -3/4 Evaluate -2 + 2 - 8/(-6)*3. 4 What is the value of 13/26 - ((-54)/(-20))/3? -2/5 What is (1 - -1)/(-2) + -4? -5 Evaluate (-168)/112*(-2)/24. 1/8 Evaluate 6/(-24)*2*0. 0 Calculate (2 + -4)/8 - (-2)/2. 3/4 Calculate 3 - 2/7 - (39 - 36). -2/7 Evaluate (-30)/14 - 10/(-70). -2 ((-7974)/(-378) - 22) + (-4)/(-3) 3/7 Evaluate (-44)/176 + (-2)/(-8). 0 What is the value of -10 + -7 + 24 + (-94)/14? 2/7 What is ((-3 - -1) + -2)*(-45)/36? 5 What is the value of (-2)/(5/((-15)/(-6)))? -1 What is the value of (-5 - (-3289)/693) + (-1)/(-7)? -1/9 Calculate ((-2)/104)/((-22)/176). 2/13 Evaluate -3*(-20)/(-120)*(2 - 0). -1 What is ((-1)/3)/((-92)/30 - -3)? 5 Evaluate (30/21)/(136/476). 5 Evaluate (4 + -4)/(-5)*2/6. 0 (-160)/(-64)*42/15 7 Calculate (-14)/2*(-200)/9100. 2/13 What is the value of 100/(-18) + 38/171 + 5? -1/3 Calculate ((-3)/(-5))/((270/(-100))/27). -6 What is the value of 80/(-240) + 1/3? 0 Calculate (-10)/45 + 38/9 + -2. 2 Calculate 1/((5 + 0)/(70/28)). 1/2 What is 6/10*(-240)/(-576)? 1/4 Calculate ((-1)/5 - 3/10)*-1. 1/2 Calculate 0/(-1) - -18*1/3. 6 (1827/(-56))/9 + 4 3/8 0/(1 - 3) - (17 - 23) 6 What is (3 - 25/10)/2? 1/4 (-52)/(-65)*-5 + -6 -10 Calculate (-5 - 0)*(-2)/30*3. 1 Evaluate (4/9)/(4/(-6)). -2/3 Evaluate (-4)/((-44)/(-1)) + 152/220. 3/5 What is (-29 - -30)*2/3? 2/3 Calculate (6/4)/((-12)/8 - -1). -3 Evaluate 36/(-30) - (-4 + 3). -1/5 What is 10/(6/3) - (-1 - -1)? 5 Evaluate (4/(-10))/(114/30). -2/19 (0 - -2)*((-51)/(-24) + -2) 1/4 Calculate 4/6*54/(-60). -3/5 (-21 + 9)/(-4) - -4 7 Evaluate 0*((-9)/(-2))/9. 0 What is (-3)/30*-4*55/132? 1/6 Calculate 4*(-5)/(-20)*-3. -3 What is (4/7)/((-40)/12 + 4)? 6/7 Calculate (-6)/9 - (672/(-18))/8. 4 What is the value of 2/7 - (-88)/(-154)? -2/7 Evaluate ((-46)/(-24) - 2)*-3. 1/4 What is the value of (-1377)/(-272) + -8 - (-1 - 2)? 1/16 Calculate (-6 - 0)*((-27)/(-2) + -13). -3 Calculate (5 - 1)*42/(-168). -1 What is the value of (-1)/45 - (374/(-55) - -7)? -2/9 14/(-4)*10/105*18 -6 Calculate (148/(-111))/(1/6). -8 Evaluate 3 + 10/35*23/(-2). -2/7 Calculate 3 + 12/(-9) + (-707)/399. -2/19 (1 - 1) + (-510)/51 -10 Calculate 11/(550/(-70)) + (-3 - -5). 3/5 What is the value of (-4 - -1) + (10 - 6)? 1 What is the value of (-530)/300 - 9/(-90)? -5/3 What is 0 + 1/13*2? 2/13 112/(-630) - 6/(-15) 2/9 What is the value of (240/(-154))/15 - (-2)/7? 2/11 What is ((-35)/(-245))/(2/(-7))? -1/2 What is the value of (-2)/(-4) + ((-156)/56 - -2)? -2/7 Calculate (-7)/(168/40)*(-3)/2. 5/2 What is the value of (-20)/2 - (-730)/70? 3/7 What is 36/24*-2*(2 + 1)? -9 What is the value of 5/(-4) + 348/48 - 3? 3 What is the value of ((-34)/(-7) + (-90)/105)/14? 2/7 What is 33 - 30 - (2 + -1)? 2 Calculate -6 + 4 + ((-100)/16)/(-5). -3/4 What is the value of 2 - (1 - (7 - 0))? 8 Calculate (5*(-12)/120)/((-2)/(-16)). -4 What is (-18)/3 + 18/2? 3 What is (215/(-35) - -5)*7? -8 Evaluate 4 + (-2)/((-8)/12). 7 Calculate (2 - (-321)/(-30)) + 396/(-1320). -9 What is the value of (48/10 + 12/60)/(-1)? -5 What is the value of -3 - ((-155)/(-25) - (-1)/(-5))? -9 What is ((-1)/35)/((-235)/(-1175))? -1/7 -2*(19/7 + 8 + -11) 4/7 What is the value of 56/(-36) - (1 - 3)? 4/9 What is the value of (-25)/325 + 2/(182/(-45))? -4/7 (-5 - -6) + -5 + 3 + -2 -3 What is the value of (-30)/4*(4 - 98/21)? 5 What is the value of 2*114/(-924) + (-10)/55? -3/7 Calculate (-5)/(-3) + (3/(-1))/(-9). 2 What is (180/540)/((-2)/42)? -7 ((-2 + 1)/7)/(12/(-14)) 1/6 What is (-1 - 20/(-28))*(-14)/6? 2/3 What is (-6 - 1)*44/154? -2 Evaluate (-164)/52 - ((-30)/26 + 1). -3 Calculate (-8)/(-3) + (-2)/3. 2 (-19)/((-76)/6)*-2 -3 What is 14/4 + 12/24? 4 What is the value of -1*-2*(-6)/(-102)? 2/17 Evaluate 8 + 5/20 + (-42)/8. 3 What is ((-225)/30 - -6)*(-2)/5? 3/5 (-142)/(-1349) - 5/(2850/(-16)) 2/15 Calculate (-9 - 114/(-12))/(1/2). 1 What is the value of 6*((4 - -1)/10)/1? 3 What is the value of 198/30 - (-18)/(-30)? 6 What is the value of (6 + 0)/3 + (-2)/1? 0 Calculate 12 + (1200/21)/(-5). 4/7 Evaluate 10/75*(-6)/(-4) + -1. -4/5 What is 8/(-4)*(-3)/18? 1/3 What is the value of ((-12)/8)/(34/68)? -3 -2 + (24/55 - (-240)/200) -4/11 Calculate (-560)/(-880)*12/(-21). -4/11 Evaluate (-1 + 2)/(11/22). 2 What is the value of (-64)/156 - 2/(-26)? -1/3 (-2)/(1 - 5)*40/(-15) -4/3 16/5 - (-5 - 104/(-20)) 3 What is the value of ((-162)/(-135))/(24/(-10) - -2)? -3 What is -1*4/10 - (-4)/2? 8/5 Calculate (-22)/99 - (-29)/9. 3 Evaluate (-7 + (-99)/(-15))/(44/20). -2/11 Calculate (429/286)/((-2)/4). -3 What is the value of 0/9*(-1)/(-2)? 0 What is the value of (4 + -6)*3 - -6? 0 Calculate 20/(1 + -6)*9/(-12). 3 What is (13 - 13)/(-2 + 0)? 0 Calculate (-4)/(-6)*(-8)/(-24). 2/9 What is (1 + (30/13 - 3))/2? 2/13 Calculate (-3)/5 + (-126)/(-135). 1/3 Calculate (-35)/50 - (-5 - 22/(-5)). -1/10 Evaluate 1/(-8)*112/(-84). 1/6 Evaluate (-42)/65 + (-56)/(-70). 2/13 What is the value of -2 + (60/25 - (-2)/(-5))? 0 What is (6 - 28/8)*(-2)/(-40)? 1/8 What is (-36)/(-27)*(1 - (-1 + -1))? 4 27/(-15) + 1 - 90/(-175) -2/7 (-4)/(-10)*17 + -6 4/5 What is the value of 4/7 - (-192)/1890*-10? -4/9 -5 + 0 + 12/162*63 -1/3 Calculate (0/9)/(0 + 0 + 1). 0 What is the value of 15/(-6) - 4/(-8)? -2 What is the value of ((-39)/22*-4 - 7)*-1? -1/11 What is the value of 5/(-2)*(99/(-55) + 1)? 2 Calculate ((-20)/70)/((-24)/(-42)). -1/2 Calculate 2 - 0 - (-24)/(-6). -2 Calculate (((-432)/40)/2 - -5) + 1. 3/5 Calculate (-19)/9 - (-16 - -14). -1/9 9/6*48/(-168) -3/7 Evaluate ((-1)/(-5))/((-21)/(-140)). 4/3 What is (-966)/(-690)*2/21? 2/15 Calculate 2/10*(-130)/(-78). 1/3 What is the value of (0 + 0)/(-16 + 17)? 0 What is 5 - 58/12 - 369/270? -6/5 What is (-205)/(-410) + (14/12 - 2)? -1/3 What is -9 - 15*(-30)/54? -2/3 3/12 + 380/400 6/5 What is 33*(-5)/(-220)*20/6? 5/2 What is -2*21/(-90)*2/7? 2/15 Evaluate ((-1)/(-4))/((-8)/(-24)). 3/4 What is (-14)/7*4/84*-3? 2/7 7/((-35)/43) + 9 2/5 What is 4/(-22) - 12/(-66)? 0 Evaluate 72/4*((-497)/70 + 7). -9/5 Calculate ((-7)/14)/(10/(-4)). 1/5 What is -5 + 930/115 + -3? 2/23 What is ((-32)/80)/((-21)/(-30))? -4/7 (-35 - -9 - -31) + (-2)/(-2) 6 What is (-6)/4*(-2)/(-3)? -1 What is (40/48)/((-2)/3)*-4? 5 What is the value of 3/2*928/261 + -4? 4/3 Evaluate ((-30)/(-8))/((-18)/24). -5 Evaluate (-74)/(-7) + (-190)/14 + 13. 10 Calculate (0/1)/(((-16)/(-8))/(-2)). 0 Evaluate (-8)/6 + 8/18 + 1. 1/9 Evaluate -2*6*(-1)/(-90). -2/15 (1/1)/((-5)/30*21) -2/7 (-4 + 70/16)/((-6)/4) -1/4 (18/2)/(124 - 103) 3/7 Evaluate (117/(-12) - -4) + 21 + -15. 1/4 Evaluate 10 + (5 - (-37 + -3)/(-5)). 7 Evaluate (3 + (-22)/11)*(2 + -1). 1 What is the value of -14*(-18)/315*-5? -4 Evaluate 20 + -15 + 5 - 17. -7 Calculate (34 + 1)*(605/(-77) + 8). 5 Calculate 1 + 0 + (-55 - -59). 5 What is the value of (-1)/((-3 + 6)/(-3))? 1 What is 1*-11 + 11421/1053? -2/13 18/(-27)*(-3)/(-4) -1/2 Calculate -2*(-3)/15 - 16/(-110). 6/11 Evaluate (1/(-2)*2*1)/1. -1 What is the value of (-3 - 231/(-44))/(-5 - 1)? -3/8 Calculate 54/(-36)*2/(-4). 3/4 Evaluate 1072/(-224) + (-18)/(-4). -2/7 Calculate ((-6)/4 - 0)/(24/64). -4 (-1 + -3)*102/2652 -2/13 What is the value of (-34 - -31)*(5/(-3))/1? 5 What is (-8)/(256/24) - (-10)/56? -4/7 (-31)/4 - (68 - 76) 1/4 What is 640/(-8064) + 4/18? 1/7 What is (4/6)/(2/(-3) + 0)? -1 What is the value of (-2 - (-2)/2)/6? -1/6 What is ((-765)/(-75))/17*15? 9 What is the value of (-2)/12 - 5/(-12)? 1/4 Evaluate (((-60)/(-3))/4)/(-7 + 8). 5 Evaluate ((-12)/(-4))/3*5. 5 Evaluate 17/4 - 5/20. 4 Calculate (-3)/(-2)*(-4)/(-66)*2. 2/11 What is ((-20)/(-6))/(6/9)? 5 What is the value of (-1)/(-2)*(-29)/((-58)/24)? 6 What is ((-1)/12)/(13/117)? -3/4 Calculate ((-7)/91)/((-3)/6). 2/13 ((-42)/49)/((-6)/(-42)) -6 ((-5)/15)/(1*-1) 1/3 ((-32)/(-144))/(8/72) 2 1/(-2)*7*12/42 -1 Evaluate (-3)/(-12)*-2 - 18/12. -2 Evaluate -3 + (-3)/(-13)*(-533)/(-82). -3/2 ((-133)/42 - -4)/(2/12) 5 -4 - (-9)/9 - -8 5 What is ((0 - 1)/(-1))/((-12)/3)? -1/4 What is (3
{ "pile_set_name": "DM Mathematics" }
t of u? 2 Let r(x) = -x**2 + 2*x - 8. Let j be r(6). Let d = j + 45. What is the units digit of d? 3 Let j = 506 + -197. What is the hundreds digit of j? 3 Let a(p) = 2*p + 4. Let f be a(-5). Let d(h) = -5*h**3 + 2*h**2 + h - 3. Let i(q) = -q**3 + q**2. Let r(o) = f*i(o) + d(o). What is the units digit of r(4)? 1 Suppose -1 = 2*t - 5. Let i(m) = 9*m**2 - 2*m - 2. Let z be i(t). Suppose 7*r = 4*r + z. What is the tens digit of r? 1 Let a = -2 - -4. Suppose 0*x + a = -2*x. Let y = x + 2. What is the units digit of y? 1 Let g(h) be the second derivative of -h**4/12 + h**3 - 2*h**2 + h. Let s be g(4). Suppose 16 = z + s. What is the tens digit of z? 1 Let v(k) = k**2 - 8*k + 10. Let m be v(7). Suppose b = -m*b + 80. What is the units digit of b? 0 Suppose 0 = 5*c + 5, -3*w = -0*c + c - 986. What is the units digit of w? 9 Suppose 0*a + 3 = -3*h - 2*a, -4*a = -4*h - 4. Let i(o) = -9*o - 2. What is the units digit of i(h)? 7 Let d(m) = -m**2 + 6*m - 2. Let t = 15 - 10. Let z be d(t). What is the units digit of (-14)/(-8) + z/12? 2 Let l(o) = o**2 - 5*o + 5. Let t be l(5). Suppose 5*x - 41 = -2*n, t*x + 17 = 2*n + 2*x. What is the units digit of n? 3 Let n(s) be the third derivative of s**4/6 - s**3/3 - 6*s**2. What is the units digit of n(8)? 0 Let s be (-5)/(-20) + (-103)/(-4). Suppose l + 2 - s = 0. What is the tens digit of 12*10/l*3? 1 Let z(g) = g**3 + 10*g**2 - 11*g - 1. Let s be z(-11). What is the units digit of (1 - s) + 0 + -1? 1 Suppose 0 = o - k - 21 + 4, 5*k = 3*o - 57. Let d = o - 5. What is the tens digit of (-1)/3 - (-129)/d? 1 Let y(p) = p + 8. Let d be y(-6). Suppose -3*h = 2*h - 15. Suppose -a + 2*z - 2 - d = 0, -h*a + z = -3. What is the units digit of a? 2 Suppose 0 = -y - 2*u + 4, 2*y - 2*u = -4 - 0. What is the tens digit of y + 3 - -11 - 1? 1 Let f(o) = -o**2 + 9*o + 6. Let i be f(10). Let y be ((-4)/(-6))/(i/(-498)). Suppose -18 = 5*b - y. What is the units digit of b? 3 Suppose 3*l + 190 = 4*o + 2*l, -5*l = 2*o - 106. What is the units digit of o? 8 Let r = 16 + -11. Suppose r = -5*m + 35. Suppose 3*y - m*y = -15. What is the units digit of y? 5 Suppose -m - 2*u + 278 = 3*u, -4*u = 2*m - 538. What is the tens digit of m? 6 Let m(y) be the first derivative of -2*y**2 - 4. What is the tens digit of m(-3)? 1 Let o = -6 + 7. What is the units digit of o? 1 Let d(i) = -2*i - 7. Let u(a) = 3*a + 7. Let h(n) = -4*d(n) - 3*u(n). What is the units digit of h(6)? 1 Suppose -k = -5*q - 60, q = -0*q - 2*k - 1. Let z = q + 7. Let l = z + 7. What is the units digit of l? 3 Suppose -5*r + 111 = -49. What is the tens digit of r? 3 Let c be (-4)/2 + (-37 - -1). Let y = c - -59. Suppose 0 = -3*i - 0*i + y. What is the units digit of i? 7 Let l(c) = -5 - c + 2*c + 5. Let w(f) = -2*f**2 - 2*f - 3. Let t(k) = 5*l(k) - w(k). What is the tens digit of t(-5)? 1 Let w be (-276)/10*10/(-4). Let y = w + -30. What is the tens digit of y? 3 Let g = 314 - 197. What is the hundreds digit of g? 1 Suppose -7*t + 395 = -277. What is the tens digit of t? 9 Suppose -h = -f + 82, 0*f + 3*f = 2*h + 169. What is the units digit of (-22)/h - 47/(-7)? 7 What is the units digit of (-404)/(-5) + (-12)/15? 0 Let t(k) = 5*k - 14. What is the units digit of t(4)? 6 Let p = 263 - 150. What is the units digit of p? 3 Let j(w) = -w**3 + 8*w**2 - 7. Let f be j(8). What is the units digit of (-4)/14 - 9/f? 1 Suppose -2*w = -w - 15. What is the tens digit of w? 1 Suppose -p - 2*p = 0. Suppose 0 = 3*v + 4 + 2. Let y = p - v. What is the units digit of y? 2 Let l(i) = i + 52. What is the tens digit of l(0)? 5 Let x(l) = 4*l + 1. Let a be x(-1). Suppose 0*r + 4*r - 2*i = -14, 0 = -4*r - 2*i - 34. What is the units digit of (-5)/a - 2/r? 2 Let a = -11 + 16. What is the units digit of a? 5 Suppose 32 = 4*o + 2*n, 2*n + 0*n = -2*o + 16. What is the units digit of o? 8 Suppose 0*r = -3*d + 2*r - 36, -3*d + r = 36. Let g = 24 + d. What is the tens digit of g? 1 Let c = 233 - 173. What is the units digit of c? 0 Let r be (-1)/(-1) + 3 + -2. Let a be (4 + r)*(-20)/(-8). What is the units digit of 100/a + (-1)/(-3)? 7 Let j = -26 - -36. Let t = j - 7. What is the units digit of t? 3 What is the units digit of ((-556)/10)/(4/(-20)) + 3? 1 Suppose 6*x - 15 = -39. Let j(d) = -d**3 + 12. Let r be j(0). Let c = x + r. What is the units digit of c? 8 What is the tens digit of 2*18*((-40)/(-12) + -3)? 1 Let a = -138 - -164. What is the units digit of a? 6 Let n be (10/4 + -2)*0. Suppose d + d - 4 = n. What is the units digit of d? 2 Let a = 154 - 90. What is the units digit of a? 4 Let f(x) be the second derivative of -x**4/12 + 4*x**3/3 - 7*x**2/2 + x. Let d = 12 + -6. What is the units digit of f(d)? 5 Let s = 40 + -22. What is the units digit of 4/s + (-136)/(-36)? 4 Let w(a) = 12*a - 18. Let p(d) = -d. Let m(y) = -10*p(y) - w(y). What is the units digit of m(8)? 2 Suppose 4*r - 7 = -l, 15 = 4*l + 4*r - 1. Let c be 2 - (-1 - (0 - -1)). Suppose p = c*z - 3*p - 64, l*p = -3*z + 24. What is the tens digit of z? 1 Let m = -6 + 10. Let k be (24/24)/((-2)/(-6)). Suppose -m = i - 0*i, 0 = k*x - 2*i - 71. What is the tens digit of x? 2 Suppose 7*s = 3*s + 4. Suppose -4*q + h = 5*h - 24, -4*h = 3*q - 22. What is the units digit of (s/2)/(1/q)? 1 Suppose 0 = 5*t - k - 15, 5*k + 38 = 13. Suppose 3*a = -w + 36, -57 = -t*w - 0*a - a. What is the tens digit of w? 2 Suppose 4*t + 41 - 153 = 0. What is the tens digit of t? 2 Suppose -3*w + 101 = 5*x, 0 = -3*x - 3 - 3. What is the units digit of w? 7 Let f be (-3)/(-9) + 4/6. Suppose 4*d - 5*k - 23 = 0, 3*d - f = k + 8. Suppose 6 = s + d*s. What is the units digit of s? 2 Let w(r) = 2*r**2 - 14*r + 6. Let o be w(6). What is the tens digit of (-6)/(-18) - 106/o? 1 Let n(u) = -u + 9. Let x be n(8). Suppose -7 - x = 4*y, -5*o - 2*y = -26. Suppose 5*j - 2*j = o. What is the units digit of j? 2 Suppose v - l = -3*v + 5, 2*v + l = 7. Suppose 0 = -k - k + 6. What is the units digit of (2/k)/(v/15)? 5 Suppose -j + 4*d + 7 = 0, -j + 4*d + 11 = -4*j. Let m(f) = 2*f. Let v be m(-1). What is the tens digit of 3/(j/8*v)? 1 Suppose 5*t + 2 = 7. Suppose 2*l - 11 = -t. Suppose -4*c = v - 21, 38 = v + l*c + 12. What is the units digit of v? 1 Let z be ((2 + -2)/3)/(-2). Suppose 5*h - 120 = -z*h. What is the tens digit of h? 2 Suppose -5*u = -0*x + 3*x - 15, u + 20 = 4*x. Suppose x*o - 4 = 21. What is the units digit of o? 5 Let j = -2 - -5. Suppose 10 = -2*x + j*x + 3*d, 104 = 4*x - 4*d. Suppose 5*o - 33 = x. What is the units digit of o? 1 Let b = 0 + -9. Let y(p) = -p + 11. What is the units digit of y(b)? 0 What is the units digit of 4/10 - 408/(-30)? 4 Let n = -9 - -43. Suppose 0 = 3*r - 3, 3*h - n = 5*r - 3*r. What is the units digit of h? 2 Suppose 9*b - 181 - 80 = 0. What is the tens digit of b? 2 Suppose 5*d - 4*d - 2*p = 163, 2*p - 642 = -4*d. What is the tens digit of d? 6 Suppose -5*w - r + 18 = 0, 2*r - 5*r = 4*w - 10. Suppose 0 = w*l + 21 - 157. What is the tens digit of l? 3 What is the units digit of (-3 - 9/(-6))/((-2)/292)? 9 Let a(g) = g - 2. Suppose 15 = -5*t, 2*t - 18 = -3*p + t. Let k = 14 - p. What is the units digit of a(k)? 5 Let f be (6/(-4))/(15/(-20)). Suppose -5 + 1 = f*n. What is the tens digit of (1 - 0)*(-28)/n? 1 What is the units digit of (-11)/((-297)/6) - 1132/(-9)? 6 Let g be (-1)/3 + 10/3. Suppose 7*r - g*r = 12. What is the units digit of r? 3 What is the hundreds digit of -2 + 0 - (-5 + -137)? 1 Let t(p) = 2*p - 2. Let i be t(2). Suppose 6 = -2*x, -d = -i*d - x. Suppose -n + d*w + 19 = -w, -w = 2*n - 2. What is the units digit of n? 3 Let m(f) = f**3 + 5*f**2 - 9*f - 8. Let v be m(-6). Suppose 5*n + 5*z = 185, -z + 62 + v = 2*n. What is the tens digit of n? 3 Let j be (1 + 2/(-2))/2. Suppose -4*y = -6*y. Suppose j = -y*b - 3*b + 36. What is the units digit of b? 2 Let p(w) = 2*w**2 - 3*w + 3*w + w. What is the units digit of p(2)? 0 Let y = -102 - -164. What is the units digit of y? 2 Let j(o) = -3*o + 2. Let d be j(3). Let s = 7 - d. Suppose v - s = 2*b - 4*b, -8 = -4*v. What is the units digit of b? 6 Let c(s) = s**3 - 13. Let n be c(0). Let z = -8 - n. What is the units digit of z? 5 Let a(t) = -t**2 - 5 - 5*t - 2*t - 1. Let o be a(-6). What is the units digit of 2 - (3 - 2) - o? 1 Suppose 0*t = 2*t. Let n(a) = -a**2 - a - 2.
{ "pile_set_name": "DM Mathematics" }
+ -1)**2. -172 - 3*sqrt(19) Simplify ((sqrt(228) + 1*sqrt(228))*6)/(1*sqrt(36)/sqrt(3)). 12*sqrt(19) Simplify (sqrt(10) - (sqrt(80)*2 - sqrt(80))/sqrt(8))/(sqrt(2) - -2*sqrt(242)). 0 Simplify -6*-1*sqrt(243). 54*sqrt(3) Simplify (-5 + -4 + sqrt(176)/sqrt(4))**2. -36*sqrt(11) + 125 Simplify sqrt(45)/(sqrt(45)/sqrt(5)) + -3*sqrt(405) + sqrt(405). -17*sqrt(5) Simplify sqrt(243) + -3 + 1. -2 + 9*sqrt(3) Simplify (-5 + sqrt(448)*-3 + -5)**2. 480*sqrt(7) + 4132 Simplify (-4*5*sqrt(5000) + sqrt(5000) + sqrt(5000))**2. 1620000 Simplify (sqrt(13) - (sqrt(13) + -2)) + 3 - sqrt(39)/(sqrt(9)/sqrt(3)). -sqrt(13) + 5 Simplify -5*(sqrt(125) + 1) + sqrt(125) + (-2*(sqrt(125) + -1))**2 + sqrt(125) + sqrt(125). -50*sqrt(5) + 499 Simplify 4*sqrt(12)/sqrt(4)*-6. -24*sqrt(3) Simplify (3*-1*sqrt(117))**2. 1053 Simplify (sqrt(847) + sqrt(847) + sqrt(847) + ((sqrt(847)*-2 - sqrt(847))*-5 - sqrt(847)))**2 - (sqrt(847) + (sqrt(847)*-2)**2 + sqrt(847) + 2). -22*sqrt(7) + 241393 Simplify (sqrt(52)*6 + (sqrt(104) - sqrt(104)*-2)/sqrt(8))*-2. -30*sqrt(13) Simplify -3*sqrt(84)/sqrt(3). -6*sqrt(7) Simplify 1 + (sqrt(432) + 4)**2. 96*sqrt(3) + 449 Simplify sqrt(55)/(-4*sqrt(45)). -sqrt(11)/12 Simplify (sqrt(720) - (sqrt(720) + (0 + 3 + sqrt(720) - sqrt(720))))**2. 9 Simplify ((sqrt(36)/sqrt(2) + sqrt(18))/sqrt(9) - sqrt(2)) + (sqrt(28)/sqrt(2))/sqrt(7). 2*sqrt(2) Simplify sqrt(363) + 2 + 2. 4 + 11*sqrt(3) Simplify (-2*sqrt(1331) + -2)**2. 88*sqrt(11) + 5328 Simplify 2 + ((((sqrt(252) - sqrt(252)*2) + sqrt(252))/sqrt(12))/(sqrt(15)/(-1*sqrt(5))))**2. 2 Simplify 4*(-1 + sqrt(1331)*-1 - -5*(sqrt(1331) + (sqrt(1331) + 1 - sqrt(1331)))). 16 + 176*sqrt(11) Simplify (sqrt(75)*2)**2 + sqrt(75) - 5*sqrt(147). -30*sqrt(3) + 300 Simplify (2 + (sqrt(19) - (sqrt(152)/sqrt(128) - sqrt(19))) + (1*sqrt(19) + 4)**2)*1. 37 + 39*sqrt(19)/4 Simplify (1 + sqrt(720)*-1 + sqrt(720) + sqrt(720))*2. 2 + 24*sqrt(5) Simplify ((sqrt(65) + sqrt(65)*-1)*4)/(sqrt(240)/sqrt(12) + sqrt(5)). 0 Simplify 2 + sqrt(363) + 0. 2 + 11*sqrt(3) Simplify sqrt(605) + ((sqrt(605) + sqrt(605)*1)**2 - sqrt(605)) + sqrt(20)/sqrt(4) + -4. sqrt(5) + 2416 Simplify sqrt(13)*-1*2 - (sqrt(13)*-1 + sqrt(13))*3. -2*sqrt(13) Simplify ((3*sqrt(117) - sqrt(117))*-5 - sqrt(117))/sqrt(9). -11*sqrt(13) Simplify sqrt(77)/(sqrt(176)*-2). -sqrt(7)/8 Simplify (sqrt(147) + ((sqrt(147) - sqrt(147)*-2) + sqrt(147))**2)*-4 + sqrt(147). -9408 - 21*sqrt(3) Simplify sqrt(16)/(sqrt(8) + (sqrt(80)/(-2*sqrt(10)) - sqrt(8))). -2*sqrt(2) Simplify (sqrt(55)/(sqrt(5)*1)*4)**2. 176 Simplify 3*(-4 + sqrt(2299)*-2 + sqrt(2299)). -33*sqrt(19) - 12 Simplify 3 + 1 + (1 + sqrt(112) - sqrt(112)). 5 Simplify -5 + (((sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136)*1))))) + sqrt(136))*-4)/sqrt(8). -12*sqrt(17) - 5 Simplify -5 + 1 + sqrt(275) + 0. -4 + 5*sqrt(11) Simplify 3*(-5 + -3 + sqrt(4)/sqrt(2)). -24 + 3*sqrt(2) Simplify (sqrt(1331) + (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1)))*-6)*-3. -18 + 165*sqrt(11) Simplify 1*(sqrt(19) - (sqrt(19) + 1)*6)*3. -15*sqrt(19) - 18 Simplify sqrt(66)/sqrt(6) + 1 - (sqrt(396) + (-1 + sqrt(396))**2 - sqrt(396)). -396 + 13*sqrt(11) Simplify (sqrt(117) + 1 + 1)*-6. -18*sqrt(13) - 12 Simplify 1*sqrt(3)*6 + -5. -5 + 6*sqrt(3) Simplify (sqrt(121) - (sqrt(121)*-2*5 - sqrt(121)))/(sqrt(22)/sqrt(32)). 48*sqrt(11) Simplify 4 + (sqrt(272) + -1 + sqrt(17) - sqrt(17)) + -1. 2 + 4*sqrt(17) Simplify (sqrt(140) - ((sqrt(140) - (sqrt(140) + sqrt(140)*-1)) + sqrt(140) - sqrt(140)))/((sqrt(28) + (sqrt(28) - sqrt(28)*-1))/sqrt(4)). 0 Simplify (1 + (sqrt(95) - (sqrt(95)*-2 - sqrt(95))*-4 - sqrt(95) - sqrt(95))/sqrt(5)*5)**2. -130*sqrt(19) + 80276 Simplify 1*4*(1 + sqrt(3)). 4 + 4*sqrt(3) Simplify ((sqrt(275) + (sqrt(275) - (sqrt(275) - (sqrt(275) - (sqrt(275) + -2*sqrt(275))))))**2 + 0)*-2. -4950 Simplify (sqrt(32) + -4 + (sqrt(2) - (sqrt(2) + 3*sqrt(242))))**2 + 1. 232*sqrt(2) + 1699 Simplify ((sqrt(3) - (sqrt(15) + sqrt(30)/sqrt(2))/sqrt(5)) + 4)**2. -8*sqrt(3) + 19 Simplify sqrt(272) + -5 + sqrt(153)*1. -5 + 7*sqrt(17) Simplify -6*(sqrt(70)/sqrt(10))**2 + -4. -46 Simplify 2*(-1 + (((sqrt(143)*5 - sqrt(143))/sqrt(11))**2 - sqrt(13) - sqrt(13))). -4*sqrt(13) + 414 Simplify 1*(sqrt(1573) + 0 + 1)**2. 22*sqrt(13) + 1574 Simplify ((-3*sqrt(70)*-4)/sqrt(10) + 2)**2. 48*sqrt(7) + 1012 Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) + -2*sqrt(343) + sqrt(343) + sqrt(343))) + 0)**2. 343 Simplify (3 + sqrt(34)/sqrt(2)*-3 + sqrt(68)/(-6*-2*sqrt(4)))**2. -35*sqrt(17)/2 + 22121/144 Simplify (sqrt(45) - sqrt(5))*-3*2. -12*sqrt(5) Simplify sqrt(19)*2 + 3 + (-2 + sqrt(304) - sqrt(19)). 1 + 5*sqrt(19) Simplify (sqrt(100)/sqrt(2) + sqrt(2) - -1*sqrt(2)*-3)**2. 18 Simplify (-2 + sqrt(2057)*-2 - sqrt(2057))**2. 132*sqrt(17) + 18517 Simplify (sqrt(1088) + -4*sqrt(1088) + sqrt(1088))**2 - sqrt(153)*2. -6*sqrt(17) + 4352 Simplify -3 + -2*-1*sqrt(7)*-6. -12*sqrt(7) - 3 Simplify (-1*sqrt(1008))/(sqrt(18)/(sqrt(2)*2)). -8*sqrt(7) Simplify -5 + sqrt(19) + 1 + 2. -2 + sqrt(19) Simplify (sqrt(95) + ((sqrt(95) - (-3*(sqrt(95)*-2 + sqrt(95)) + sqrt(95))) + sqrt(95) - sqrt(95)))/(sqrt(80)*-1). sqrt(19)/2 Simplify sqrt(2) + sqrt(242)*-1 + -4*(-2 + sqrt(2)). -14*sqrt(2) + 8 Simplify ((-6*(sqrt(102) - -1*sqrt(102)) - sqrt(102))/sqrt(6))**2 + 0. 2873 Simplify -4 + 2 + sqrt(637). -2 + 7*sqrt(13) Simplify sqrt(2057) - (-2 + sqrt(2057))*-6. -12 + 77*sqrt(17) Simplify (sqrt(2) + -1)*-6 - sqrt(4)/(sqrt(18)/sqrt(9)). -7*sqrt(2) + 6 Simplify sqrt(17) + sqrt(17) + -2 + sqrt(153) - (-3*sqrt(170))/sqrt(10). -2 + 8*sqrt(17) Simplify (-3*sqrt(85)*2)/(sqrt(5)*3*2 + sqrt(5)). -6*sqrt(17)/7 Simplify (sqrt(119)*-2)/sqrt(7) + -5. -2*sqrt(17) - 5 Simplify ((1*sqrt(176) + sqrt(176) + sqrt(176) - sqrt(176))*-2*2)**2. 11264 Simplify sqrt(133)/sqrt(7) + 1 + 5. sqrt(19) + 6 Simplify -6*sqrt(48) - sqrt(588)*-2. 4*sqrt(3) Simplify (sqrt(20)/(2*sqrt(10)) + sqrt(24)/(sqrt(12)*-1))**2. 1/2 Simplify (sqrt(243) + -1 + -5)**2 + sqrt(243). -99*sqrt(3) + 279 Simplify ((sqrt(63) - 1*sqrt(63))*2)/(1*(sqrt(18)/sqrt(2) + sqrt(9))). 0 Simplify ((-2*sqrt(330))/sqrt(10))/((sqrt(88) + 2*sqrt(88))/sqrt(8)). -2*sqrt(3)/3 Simplify -2 + (6*sqrt(40)/sqrt(8))**2 + 1. 179 Simplify (sqrt(102)/(sqrt(18)/(-2*sqrt(3) - sqrt(3))))**2. 153 Simplify 6*sqrt(26)/sqrt(8)*6*3. 54*sqrt(13) Simplify (-2 + sqrt(104)/(-3*sqrt(1152)))**2. sqrt(13)/9 + 5197/1296 Simplify 2*(sqrt(20)/sqrt(4)*-4 - sqrt(20)/(sqrt(4)*-2)). -7*sqrt(5) Simplify 5 + (sqrt(117))**2 - sqrt(143)/(sqrt(11) - (sqrt(11) + sqrt(44))). sqrt(13)/2 + 122 Simplify 3*(-2*(sqrt(500) + sqrt(500)*-2))**2. 6000 Simplify sqrt(1331)*3 + sqrt(99) + -2. -2 + 36*sqrt(11) Simplify (-4*sqrt(56)*-1)/sqrt(8)*6. 24*sqrt(7) Simplify (1 + -3*sqrt(20)*-1*5)**2. 60*sqrt(5) + 4501 Simplify -2 + -5 + (-5 + sqrt(52))**2 + sqrt(13). -19*sqrt(13) + 70 Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190) + (-2*sqrt(190) - sqrt(190)))*-2))/sqrt(10)*6)**2. 10944 Simplify sqrt(84)/(-5*sqrt(12)) + sqrt(28)/(sqrt(12)/sqrt(3)). 4*sqrt(7)/5 Simplify 1 + sqrt(637) + 2 + (sqrt(13) - sqrt(468)). 3 + 2*sqrt(13) Simplify (sqrt(30) - (sqrt(30) - sqrt(30)*-2))/sqrt(10) + 2. -2*sqrt(3) + 2 Simplify (sqrt(102)*-1*-5 + sqrt(102))/sqrt(6). 6*sqrt(17) Simplify ((5 + (sqrt(448) - -4*(-1 + sqrt(448))))*5)**2. 2000*sqrt(7) + 280025 Simplify 1*(sqrt(288) - (sqrt(288) - (sqrt(288) + -1))). -1 + 12*sqrt(2) Simplify sqrt(98) + 1 + sqrt(2) + 0 + -4*sqrt(2). 1 + 4*sqrt(2) Simplify -1*(-2 + (-3*sqrt(8) - (-1 + sqrt(2)*-1))). 1 + 5*sqrt(2) Simplify (sqrt(40)/sqrt(2) + (sqrt(720) + 1 - sqrt(5)) + -5)**2. -104*sqrt(5) + 861 Simplify -5 + (sqrt(242) + 2)**2. 44*sqrt(2) + 241 Simplify (sqrt(1575)*2)**2 + -2*sqrt(7623) + sqrt(63). -63*sqrt(7) + 6300 Simplify sqrt(3) + 3 + -2 + -2*(sqrt(3) - sqrt(27)). 1 + 5*sqrt(3) Simplify -1 + sqrt(80) - ((sqrt(80))**2 + -3). -78 + 4*sqrt(5) Simplify (sqrt(40)*-2)/(sqrt(2)*1*-3). 4*sqrt(5)/3 Simplify (-3 + (sqrt(2736) - (-2 + 5*sqrt(2736) + sqrt(2736))))**2. 120*sqrt(19) + 68401 Simplify (1*sqrt(1900) + sqrt(1900))**2 + 0. 7600 Simplify 4*(2 + sqrt(15)/sqrt(5)). 4*sqrt(3) + 8 Simplify sqrt(11) + -1 + 3 - (sqrt(11)*-2 + 5). -3 + 3*sqrt(11) Simplify 1 + 1 + sqrt(272) + sqrt(272). 2 + 8*sqrt(17) Simplify (sqrt(196)*-3)/sqrt(7). -6*sqrt(7) Simplify (-6*6*(sqrt(13) - ((sqrt(13) - sqr
{ "pile_set_name": "DM Mathematics" }
for q. -5 Solve -v = 106 - 102 for v. -4 Solve 210 = -44*l + 2*l for l. -5 Solve 148*d - 7 = 141*d for d. 1 Solve -12*y = -78 + 126 for y. -4 Solve -6*l = -2 + 20 for l. -3 Solve 3*y - 5 = 4*y for y. -5 Solve -7 - 5 = -3*w for w. 4 Solve 7*p = 4*p + 9 for p. 3 Solve 0 = -8*y - 39 - 1 for y. -5 Solve -8*q - 4 = -12 for q. 1 Solve 0 = 32*j - 33 + 225 for j. -6 Solve 3*z = 8*z - 5 for z. 1 Solve -r - 22 = -19 for r. -3 Solve -339*s + 6 = -333*s for s. 1 Solve 148 = 28*n + 372 for n. -8 Solve 2*u + 48 - 40 = 0 for u. -4 Solve 93*q + 96 = 77*q for q. -6 Solve 42*c + 2*c = 308 for c. 7 Solve 0 = -8*k - 7 - 1 for k. -1 Solve 0 = 11*r - 76 + 21 for r. 5 Solve 0 = -8*j + 25 - 65 for j. -5 Solve 0 = -392*w + 393*w for w. 0 Solve 2*t + 8340 = 8336 for t. -2 Solve 0 = 4*i + 47 - 43 for i. -1 Solve 27*j = 89*j - 310 for j. 5 Solve g = 1 + 4 for g. 5 Solve -5*k - 136 = -22*k for k. 8 Solve 852*t = 854*t for t. 0 Solve 4*h - 11*h = 2*h for h. 0 Solve -16 = 2*k - 24 for k. 4 Solve -122*i + 209 = -1011 for i. 10 Solve 2*u - 3*u = -5 for u. 5 Solve 8 = 5*x - 7*x for x. -4 Solve -1 = -3*f - 4 for f. -1 Solve -11*a - 4 = -9*a for a. -2 Solve 188 = 21*k + 125 for k. 3 Solve 11*x + 76 = 65 for x. -1 Solve 3*g - 95 = -110 for g. -5 Solve -1 = p - 0 for p. -1 Solve -155*h + 8 = -157*h for h. -4 Solve -715*t - 44 = -704*t for t. -4 Solve -12*b + 380 = 83*b for b. 4 Solve 105 = 31*c - 10*c for c. 5 Solve -35*q + 199 = 24 for q. 5 Solve 0*a = -13*a + 52 for a. 4 Solve 0 = -y + 2 - 3 for y. -1 Solve -7*a = -14*a - 7 for a. -1 Solve -8*s = -50 + 10 for s. 5 Solve 22*q + 72 - 28 = 0 for q. -2 Solve 5*g + 2 = 7 for g. 1 Solve 12*x - 776 = -752 for x. 2 Solve 6*r - 6*r = -r for r. 0 Solve 26*u - 14 = 168 for u. 7 Solve -135*u + 25 = -140*u for u. -5 Solve 3185 - 3175 = -2*j for j. -5 Solve -5*z - 65 = -95 for z. 6 Solve 4*w - 12 = w for w. 4 Solve 0 = 7*f - 1207 + 1263 for f. -8 Solve -10*n = 12*n + 88 for n. -4 Solve 0 = -4*j + 6*j for j. 0 Solve 27*x = 30*x + 15 for x. -5 Solve -u - 187 + 192 = 0 for u. 5 Solve 69*b - 3 = -141 for b. -2 Solve 25 = -14*x + 19*x for x. 5 Solve 0 = 8*z - 9 - 15 for z. 3 Solve -6*r = 4*r + 20 for r. -2 Solve -2 - 8 = 5*y for y. -2 Solve -579*b + 575*b = -36 for b. 9 Solve 184 - 24 = -40*n for n. -4 Solve 23*m - 7 + 7 = 0 for m. 0 Solve 152*a = 26*a - 1260 for a. -10 Solve -11*i = -7*i + 8 for i. -2 Solve -13*b + 1 - 27 = 0 for b. -2 Solve -186*k = -175*k + 88 for k. -8 Solve 0 = -18*g + 58 + 86 for g. 8 Solve -i = -16 + 18 for i. -2 Solve 10*w - 28 = 24*w for w. -2 Solve -47 + 62 = -3*u for u. -5 Solve -5 = 72*a - 365 for a. 5 Solve -3*b - 13*b = -0*b for b. 0 Solve 3*u + 3 - 15 = 0 for u. 4 Solve -2*k + 7 = 3 for k. 2 Solve -34 = -9*j - 25 for j. 1 Solve 15*h = h for h. 0 Solve -8 = 19*r - 15*r for r. -2 Solve 0 = -3*x - 0*x + 15 for x. 5 Solve -17*m + 13*m - 20 = 0 for m. -5 Solve -21*x - 71 = -8 for x. -3 Solve 60 = -23*c + 175 for c. 5 Solve -3*v + 20 = 2*v for v. 4 Solve 7*o + 36 = 71 for o. 5 Solve -17*m - 31 - 3 = 0 for m. -2 Solve -7 = 2*r - 9 for r. 1 Solve -8*h + 207 = 15*h for h. 9 Solve 0 = 8054*y - 8052*y - 14 for y. 7 Solve -5*v - 9 = -4 for v. -1 Solve 0 = 42*v - 37 - 47 for v. 2 Solve -58*h + 40*h = 108 for h. -6 Solve -21 = -6*c - 51 for c. -5 Solve -24*h + 85 = -7*h for h. 5 Solve -57 = 59*l + 120 for l. -3 Solve -17*v + 22*v = -10 for v. -2 Solve 388*g - 398*g = -60 for g. 6 Solve -7*o + 194 = 131 for o. 9 Solve 6*q + 31 - 1 = 0 for q. -5 Solve 17 = -9*k - 8*k for k. -1 Solve 28 = 2*l + 5*l for l. 4 Solve 13*y + 48 - 9 = 0 for y. -3 Solve -96*s + 84*s - 60 = 0 for s. -5 Solve 0 = -9*l + 3 - 12 for l. -1 Solve 6 = -5*k + 1 for k. -1 Solve -1561*y - 56 = -1553*y for y. -7 Solve 3*p - 2 - 4 = 0 for p. 2 Solve -7*o - 20 = -13 for o. -1 Solve -10*m - 40 = -2*m for m. -5 Solve -8*g + 263 - 215 = 0 for g. 6 Solve -5*g = -12*g - 28 for g. -4 Solve 44 = 16*g + 12 for g. 2 Solve -164*u - 35 = -169*u for u. 7 Solve 0 = 17*u + 16 - 67 for u. 3 Solve 1 = 2*k + 5 for k. -2 Solve -22 = -14*f + 3*f for f. 2 Solve 11*t - 114 = 30*t for t. -6 Solve n + 170 = 169 for n. -1 Solve 288 = -185*y - 1562 for y. -10 Solve -373*h + 371*h - 6 = 0 for h. -3 Solve 2*o = 11 - 5 for o. 3 Solve -37 = -4*j - 61 for j. -6 Solve -10*h = 180 - 200 for h. 2 Solve -26*l = -19*l for l. 0 Solve -25*c + 7 = -93 for c. 4 Solve z = -3*z + 20 for z. 5 Solve 29*d + 528 = 95*d for d. 8 Solve 3*s = -22 + 13 for s. -3 Solve -52*s + 65*s - 78 = 0 for s. 6 Solve 136 - 21 = -23*y for y. -5 Solve 0 = -7*n + 4*n - 12 for n. -4 Solve -3*p - 1 = -7 for p. 2 Solve -91 + 261 = 17*z for z. 10 Solve 21 - 6 = -5*m for m. -3 Solve -9*l - 147 = -165 for l. 2 Solve 54 - 42 = 3*c for c. 4 Solve 5 = -90*s + 91*s for s. 5 Solve -11*g + 0*g + 33 = 0 for g. 3 Solve 0 = -8*u - 22 - 42 for u. -8 Solve 4 = 327*t - 329*t for t. -2 Solve -119 = 26*p - 353 for p. 9 Solve 92*l - 9*l - 249 = 0 for l. 3 Solve -10 = -3*s + s for s. 5 Solve 20*i - 5*i = 60 for i. 4 Solve -18 = 4*g + 2 for g. -5 Solve -28 = -7*n - 0*n for n. 4 Solve 11 = 2*d + 1 for d. 5 Solve -64*m + 71*m = 35 for m. 5 Solve -6*j - 20 = -26 for j. 1 Solve 0 = o - 4 + 7 for o. -3 Solve 24*z - 3 = 25*z for z. -3 Solve 55*c + 12*c = 335 for c. 5 Solve 10*f - 1 = 29 for f. 3 Solve 4*u - 21 = -13 for u. 2 Solve 25*l - 10*l = 15 for l. 1 Solve x - 11*x = 20 for x. -2 Solve -3*l + 103 - 112 = 0 for l. -3 Solve -6*i + 16 = -22*i for i. -1 Solve -7*o + 7 = -0 for o. 1 Solve 8*i = -172 + 132 for i. -5 Solve 27 = -20*f + 47*f for f. 1 Solve -4*c = -2*c + 10 for c. -5 Solve 10 = -14*g + 9*g for g. -2 Solve 55 - 7 = -8*o for o. -6 Solve -215 = h - 44*h for h. 5 Solve 87 = -90*r + 267 for r. 2 Solve 0 = -12*p + 7*p + 20 for p. 4 Solve 0 = -10*m + 44 - 94 for m. -5 Solve 2*o + 2*o - 16 = 0 for o. 4 Solve 0 = 6*x - 2*x - 8 for x. 2 Solve 125*c - 124*c = 0 for c. 0 Solve -7*l = -397 + 418 for l. -3 Solve 47*r + 128 + 13 = 0 for r. -3 Solve 140*l + 12 = 134*l for l. -2 Solve 5*t - 31 + 16 = 0 for t. 3 Solve 23*r - 14*r + 36 = 0 for r. -4 Solve -4*l - 2*l - 6 = 0 for l. -1 Solve 91*s = 87*s + 20 for s. 5 Solve -153 = 2*i - 149 for i. -2 Solve -75 = -34*h + 9*h for h. 3 Solve 14 = -2*t + 20 for t. 3 Solve 733 = 24*v + 589 for v. 6 Solve -16*y - 14 - 34 = 0 for y. -3 Solve -67 = c - 72 for c. 5 Solve 0*z + 180 = 36*z for z. 5 Solve -118*a + 127*a + 18 = 0 for a. -2 Solve 144*d = 145*d - 5 for d. 5 Solve -320 = -28*y + 68*y for y. -8 Solve -44*b + 10 = -46*b for b. -5 Solve 202*k - 221*k = 57 for k. -3 Solve -209*p + 65 = -222*p for p. -5 Solve 9*a = 11*a + 4 for a. -2 Solve -u + 1 = -8 for u. 9 Solve 39 = -11*q - 38 for q. -7 Solve 0 = 6*l - 13*l + 21 for l. 3 Solve -2 = -2*t + 3*t for t. -2 Solve 0 = 21*w - 81*w - 75*w for w. 0 Solve -5 - 1 = -2*z for z. 3 Solve -44*g = -64 + 196 for g. -3 Solve 0*j - 48 = -16*j for j. 3 Solve 668*w - 5 = 667*w for w. 5 Solve -14*l = -5*l + 18 for l. -2 Solve 4*q + 13 = 29 for q. 4 Solve 15*o - 4*o = -13*o for o. 0 Solve 0 = -41*c + 60*c + 76 for c. -4 Solve 7*h - 40 = -h for h. 5 Solve -13*g + 98 + 6 = 0 for g. 8 Solve -123*c + 120*c - 12 = 0 for c. -4 Solve -5*d - 343 = -338 for d. -1 Solve 1 = -a - 3 for a. -4 Solve -8*w + 2 + 22 = 0 for w. 3 Solve 0 = -2*g + 3*g + 1 for g. -1 Solve -17*h - 3 = -18*h for h. 3 Solve -12*v = -9*v + 3 for v. -1 Solve 0 = -3*z - 8 - 1 for z. -3 Solve -94*o + 39 = -81*o for o. 3 Solve n = -75 + 80 for n. 5 Solve 684*x - 20 = 679*x for x. 4 Solve 285 - 78 = -23*p for p. -9 Solve 0 = 107*h - 98*h for h. 0 Solve 84 = 178*c - 164*c for c. 6 Solve -35*v - 72 = -44*v for v. 8 Solve 481*p - 48 = 469*p for p. 4 Solve -155*o = -158*o - 12 for o. -4 Solve -9*v = 9*v - 72 for v. 4 Solve j + 2 - 4 = 0 for j. 2 Solve -68*v = -36*v - 36*v for v. 0 Solve 3*j - 5 + 11 = 0 for j. -2 Solve -12*z + 88 - 148 = 0 for z. -5 Solve 0 = 81*g - 96*g + 105 for g. 7 Solve -10 = h - 8 for h. -2 Solve -2*i - 7 + 7 = 0 for i. 0 Solve -7*u + u = 12 for u. -2 Solve -8*n + 2*n - 6 = 0 for n. -1 Solve 51*f = 39*f - 48 for f. -4 Solve -5*b - 5 = -10 for b. 1 Solve 35*c - 15*c = 160 for c. 8 Solve 0 = -3*j + 140 - 155 for j. -5 Solve 13*w + 15 = -50 for w. -5 Solve -3 = 206*y - 205*y for y. -3 Solve -11*j + 6*j = 25 for j. -5 Solve -15*x + 31 - 106 = 0 for x. -5 Solve -10*o = -14 - 16 for o. 3 Solve 393 = -13*o + 445 for
{ "pile_set_name": "DM Mathematics" }
d = g + -13385. Calculate the common denominator of 11/10 and d. 80 Suppose 4*u + 10 = 6*u. Suppose 6 = f - u. Let m = -5 + 14. Calculate the least common multiple of f and m. 99 Let w = 39 - 87. Let i = -27/2 - w. What is the common denominator of 67/16 and i? 16 Let s be ((-3)/9)/(3/(-1206)). Suppose p + 16 = -p. What is the common denominator of (s/p)/(1 - -1) and 133/6? 24 Suppose g - 17 - 5 = 0. Suppose -40 = -2*u - 2*u. Calculate the smallest common multiple of u and g. 110 Calculate the lowest common multiple of (-57)/(-3) - 4 - 1 and 6. 42 Suppose o = 0, -z + 6*z + o = -160. What is the common denominator of (-1)/(-1)*380/z and -31/22? 88 Let l be (-912682)/11780 + (-14)/(-35). Let k = l + 2307/31. What is the common denominator of 23/22 and k? 418 Suppose p = -0*c - c + 155, 3*p - c = 445. What is the common denominator of ((-3)/4)/(9/p) and -65/9? 18 Suppose -9*b + 94 + 32 = 0. Calculate the lowest common multiple of b and 24. 168 Let r = 89 - 67. Calculate the least common multiple of (-1)/(-4) - (-165)/12 and r. 154 Suppose 0*y = -3*y + 51. Let b = y - 11. Suppose b*k = 4*k + 16. What is the least common multiple of k and 11? 88 Suppose k + k - 24 = 0. What is the smallest common multiple of 6 and k? 12 Calculate the common denominator of (40/(-15))/((-5)/12) and (-93)/2*(-2)/(-12). 20 Suppose -2*y = -1975 - 17107. Let p = y - 95329/10. Calculate the common denominator of p and 91/12. 60 Let j = 3961/14130 + -2/785. What is the common denominator of (-1)/2 + (-428)/(-64) and j? 144 Let w be 123 + (-2 - (-1 + -1)). Suppose -5*u - 13 = -w. What is the least common multiple of 4 and u? 44 Let q = -37389 + 1047009/28. What is the common denominator of ((-6)/(-3))/(72/(-594)) and q? 28 What is the common denominator of -47/8 and ((-27)/(-60))/((-5)/(-90))? 40 Let x = 7609/6 - 1273. Find the common denominator of -75/22 and x. 66 Let i = -6447433/6797 + 6640/7. Let v = 39804/6797 + i. Calculate the common denominator of v and -43/11. 77 Let c(n) = -n**3 - 10*n**2 - 12*n - 1. What is the common denominator of c(-8) and 17/2? 2 Suppose 3 = c - 5. Calculate the least common multiple of c and 5. 40 Let t(p) = 3*p - 43. Calculate the lowest common multiple of 8 and t(17). 8 Calculate the common denominator of (-2)/4 - (-106)/(-18) and -17/10. 90 Let a be (6/210)/((-12)/(-1032934)). Let q = a - 2463. Find the common denominator of 39/2 and q. 30 Let s(l) = -2*l. Let y be s(-2). Let k(f) = -2*f**3 - 5*f**2 - 5*f - 2. What is the smallest common multiple of k(-3) and ((-6)/2)/((-6)/y)? 22 Let j = 11 + -3. Suppose z = g + 4, 4*g = 3*g - 5*z + 14. What is the lowest common multiple of ((-7)/(-2))/(g/(-2)) and j? 56 Let q = 5 + -3. Let s = -7 + q. Let x = s - -13. What is the least common multiple of x and 2? 8 Let d be 40/(-30)*(-15)/2. Suppose 0*k = k - d. What is the smallest common multiple of k and 10? 10 Let p = 3 - 3. Calculate the common denominator of 73/12 and p + 0 - 295/100. 60 Let o = -5747 + 45905/8. Suppose -b - 25697 = 4*y, 15 = 5*y - 2*y. Let g = -463033/18 - b. Find the common denominator of o and g. 72 Let k = -6/3143 + 260929/31430. Find the common denominator of k and (-3)/(-2)*(-136)/(-66). 110 Let k = 183/5 - 631/10. Calculate the common denominator of k and 3 + -1 - (-195)/(-24). 8 What is the common denominator of 2/6 + 119/(-18) and (2 - (-250)/12)/3? 18 Let i = -54 + 57. What is the smallest common multiple of 27 and i? 27 Let i(g) = -2*g**3 - g - 1. Let v be i(-1). Suppose v*x - 17 = 3. Suppose -2*a - 4 = -18. What is the least common multiple of a and x? 70 Find the common denominator of (-381)/(-18) - (-5 - -3) and -31/20. 60 Suppose 2*o - 14 = -5*f, -4*o + f + 2 = -2*f. Let v(a) = a**2 + 13*a + 8. Let y be v(-12). Calculate the least common multiple of o and y + 18 + 2 + -2. 14 Find the common denominator of -56/3 and 97/(-24) + (-8)/4. 24 Let q be 3 - -4*(-3)/12. Suppose 0 = q*d + 2*f - 0*f - 24, 0 = 5*d + f - 76. Calculate the smallest common multiple of d and 2. 16 Find the common denominator of 37*((-10)/4 + 2) and 113/10. 10 Let c = -61 - -105. What is the least common multiple of 32 and c? 352 Let a = -455 + 2737/6. Let u be (-1)/4 + (-4946791)/672012. Let h = -1/18667 - u. What is the common denominator of a and h? 18 Let m = -6397/4 + 1615. Find the common denominator of m and 39/7. 28 Let b be ((-54)/(-4))/(3/(-183)). Let y = b + 841. What is the common denominator of y and -48? 2 Let s be 2*-15 - 0/1. Let u = s + 46. What is the lowest common multiple of ((-3)/(-2))/(6/56) and u? 112 Suppose -3*u - 5*y - 18 = 0, 3*u - y + 6 = -12. Find the common denominator of ((-19)/2)/(u - -14) and 51/4. 16 Suppose 0 = -2*n + 4*p + 104, 5*n - 4*p - 140 - 120 = 0. Calculate the least common multiple of n and 22. 572 What is the common denominator of 889/(-63) + 2/(-9) and -6/11? 33 Suppose 0 = -3*r + 5*q - 9 - 8, 0 = 2*r + 3*q + 5. Let g(t) = 2*t**2 + 5*t - 2. What is the lowest common multiple of g(r) and 18? 90 Let g = 4411 - 44221/10. Let b = 2247 + -17953/8. Calculate the common denominator of b and g. 40 Let q = -4709/2600 + -7/200. Suppose -3*r + 12 + 110 = y, y + 118 = 3*r. Calculate the common denominator of (-12)/r*26/6 and q. 130 Suppose -s = 4*p + 21, -7*p + 3*p - 16 = -4*s. Let g(y) = -y - 6. Let j be g(p). Let b = 4 - j. Calculate the smallest common multiple of b and 7. 35 What is the smallest common multiple of 12 and (0 - (-4)/5)/(23/690)? 24 What is the common denominator of 109/12 and 2 - 2 - 82/40? 60 Suppose 0 = -3*f + 15 + 51. Let j(i) = -12*i. What is the lowest common multiple of f and j(-1)? 132 Let k = -108 + 109. What is the smallest common multiple of k and 4*1 + (1 - 1)? 4 Suppose 3*u - 2751 = 5*n - 0*u, 3*u = 2*n + 1104. Let j = n - -1663/3. Calculate the common denominator of j and -49/8. 24 Let y(c) = c**2 - 3*c - 6. Let v be y(5). Let k = -3 + v. Suppose -9 = -i - k. What is the smallest common multiple of i and 4? 8 Let b(u) = u + 2. Let h be b(-6). Let m be 8159/h + (-4)/(-16). Let c = m - -2082. Calculate the common denominator of c and 0. 2 Let d = 82 + -27. Let n = d + -25. What is the lowest common multiple of 4/(-14) - n/(-7) and 2? 4 Let a = -27/97 + 9851/194. Find the common denominator of (4/56)/(1/107) and a. 14 Let o be (-6)/4*-1*2. Let t(h) = h**3 - 3*h**2 + 3*h - 1. Let r = 26 - 12. What is the smallest common multiple of t(o) and r? 56 Let t(p) be the second derivative of p**3/6 + 8*p**2 + 4*p. Calculate the least common multiple of 3 and t(-13). 3 Let x(z) = z**2 + 6*z + 2. Let g be (-2 - (2 - -5)) + 3. Let k be x(g). Calculate the lowest common multiple of 14 and k - (0/(-1))/3. 14 Suppose -3*n + 21 = -4*b, 4*n + 0*b - 28 = 4*b. Let m = n - -3. What is the smallest common multiple of 10 and m? 10 Let t = 0 + 32. Let v = -18 + t. What is the smallest common multiple of 16 and v? 112 Let b = 40 - -2. Calculate the lowest common multiple of 10 and b. 210 Let g(o) = -2*o + 6. Calculate the least common multiple of 18 and g(0). 18 Let c(l) = l**2 + 4. Let g(u) = -2*u**2 - u - 3. Let y(j) = -3*c(j) - 2*g(j). Let x = 16 - 22. What is the smallest common multiple of y(x) and 6? 18 Let v be (63760/(-300))/(6/95). Suppose 0 = 5*r - 7*f + 3*f - 16867, 0 = -2*r - 5*f + 6727. Let o = v + r. Calculate the common denominator of 15/8 and o. 72 Suppose -4*h - 2*m = -50, -3*h - m + 24 = -13. What is the smallest common multiple of 20 and h? 60 Let f = 68 - -58. What is the common denominator of (-302)/18 + (-28)/f and -45/4? 4 Suppose 29 = 6*q + 11. Calculate the lowest common multiple of 10 and q. 30 Suppose 0 = -4*j - 0*j + 112. Suppose -10 = -p - 4. What is the lowest common multiple of p and j? 84 Calculate the common denominator of 68/(-51)*27/11 and 9/19. 209 Let b = 11727 + -140635/12. What is the common denominator of 5 - 4 - (-42)/(-5) and b? 60 Calculate the lowest common multiple of ((-3)/1 - 0) + 8 - 2 and 6. 6 Let q = 2/263 + -9217/1578. Find the common denominator of (-87)/2 - (5 + -3) and q. 6 Suppose -3*r = -6*r + 54. What is the lowest common multiple of 16 and r? 144 Let m = 29 + -28. Calculate the smallest common multiple of m and 9. 9 Calculate the least common multiple of (-8)/20*(-5)/2 and 6. 6 Calculate the least common multiple of (-5)/(-20) + (-86)/(-8) and 11. 1
{ "pile_set_name": "DM Mathematics" }
*r - 2*r) to the form o + l*r and give l. 9 Rearrange ((3 + 1 - 3)*(2 - 3 - 1) + 2 + 3 - 4 + 4 + 1 + 0)*(-v - 5*v + 3*v) to the form c + f*v and give f. -12 Rearrange 27 + 2*c - 27 to j*c + l and give l. 0 Rearrange (10 + 5 - 49)*(-3*n**3 + 2*n - 2*n) to j*n**3 + o + y*n**2 + m*n and give j. 102 Rearrange -3 - x**3 + 0*x**3 + 0*x**3 + 3*x**3 + 7*x**2 to d + f*x**3 + z*x + t*x**2 and give d. -3 Rearrange 3 - 1 - 2*k**3 - 8 to f + l*k**3 + v*k**2 + n*k and give n. 0 Express (-24*a - 7*a - 7*a)*(-1 + 1 + a**2) as l*a**2 + z*a**3 + t + o*a and give t. 0 Rearrange (c + 3*c - 3*c)*(3*c**2 - c**3 - 825 + 825 - 23*c) to the form w*c**2 + a*c + v + k*c**3 + r*c**4 and give r. -1 Express (0*d + 0*d + 2*d)*(73*d**2 + 39*d**2 - 152*d**2 - 2*d) in the form l + z*d**3 + n*d**2 + m*d and give n. -4 Rearrange 23*q + q**3 + 11*q + 3*q**2 - 5*q**2 to b*q**3 + u + m*q + h*q**2 and give b. 1 Rearrange (13 + 7*c - 13)*(-5 - 4 + 2)*(2 - 1 + 1) to f*c + o and give f. -98 Rearrange 2*a**2 + 3*a - 3*a + (-2*a + 2*a - a)*(19 - 39*a - 72 + 37*a) to the form l + f*a + j*a**2 and give l. 0 Express (837 - 422 - 434)*(0*v**4 + v**4 - 2*v**4) as z*v**2 + x*v**4 + f + m*v**3 + j*v and give j. 0 Express -3*a**2 + 8*a**4 - 1 - 2 + 3*a**3 + 3 in the form j*a**2 + c*a**4 + y*a**3 + w*a + l and give y. 3 Express ((2*s - 3*s + 0*s)*(-3 + 0 + 1) - 2*s + 4*s + 0*s)*((1 + 2 - 1)*(-4*s - s + 3*s) + (2 - 2 + 1)*(4*s + 0*s - 5*s)) as h*s**2 + y + x*s and give h. -20 Rearrange -42*b**2 + 80*b**2 - 42*b**2 to s + q*b**2 + t*b and give q. -4 Rearrange (-4*a + 0*a + 3*a)*(-1 + 2*a + 1)*(3*a - 4*a - 3*a) to f*a**2 + y + w*a + o*a**3 and give o. 8 Rearrange -g + 3*g + 4 + 569*g**3 - 562*g**3 - g to k + z*g**2 + a*g**3 + h*g and give h. 1 Rearrange -9*t + t - 10*t**2 + 14*t**2 - 5*t**2 to the form s + b*t**2 + m*t and give b. -1 Express 5*p**2 - 5*p**2 - 5*p**2 - 3*p**2 as j*p + t + w*p**2 and give w. -8 Express (-49 - 10*i + 49)*(0 - 5 + 4)*(-3 + 4 - 4) - 2*i - 3*i + 3*i as u*i + h and give h. 0 Express 280 - 554 + 272 - 21*a in the form s*a + p and give s. -21 Rearrange (3 - 4 + 0 + (-4 + 6 - 1)*(-1 + 4 - 2) + 0 - 1 + 2)*(47*a + 12*a - 14*a) to the form q*a + m and give q. 45 Express (29 - 22 + 121 + (4 - 7 + 2)*(-2 - 3 + 3) + 1 + 1 - 1)*(t**3 - 5*t**3 + 2*t**3) as a*t**2 + u + h*t**3 + j*t and give h. -262 Rearrange -2 + 4 - 14*h - 2 to z + t*h and give t. -14 Rearrange -3*n**2 + 5 - 5 - 2*n**2 - n**4 - n**3 to the form p*n**4 + b*n**3 + l + i*n**2 + y*n and give i. -5 Rearrange (-6 + 6 - 3*b**2)*(-1 + 1 - b) + b**3 + 0*b**2 + 0*b**2 to m + q*b**3 + h*b + p*b**2 and give q. 4 Express (-3*d**2 + d**2 + 3*d**2)*(-2 + 12 + 21) in the form i*d + h + b*d**2 and give b. 31 Express (3*q - 4*q - q)*(-4*q - 2*q + 4*q) + 10*q**2 - 14*q**2 - 6*q**2 as m*q**2 + h + x*q and give m. -6 Rearrange -18*h - 3*h**3 + 17*h - 12*h**3 to the form l + z*h**3 + g*h + d*h**2 and give z. -15 Rearrange 4 + 7*j**2 - 4 to the form u + n*j + d*j**2 and give d. 7 Express b - 7*b**3 - 3*b - 2*b**2 + 4*b + 1 in the form m*b**3 + f*b + s*b**2 + k and give k. 1 Rearrange -4*n + 5*n + 0*n + (-4 + 2 + 0)*(3*n - 2*n - 3*n) to u*n + d and give d. 0 Express -3*x**3 + 0*x**3 + 2*x**3 + 1 - 2*x**3 as d*x**3 + t*x + r + s*x**2 and give d. -3 Express -4*l**2 - 15*l + l - 2*l**2 + 8*l**2 as b*l**2 + s + y*l and give y. -14 Express -1 - 3 + 20*l + 4 in the form b*l + c and give c. 0 Rearrange (-j**2 + 9*j**3 - 10*j**3 - j**2)*(13 + 6*j - 13) to the form u + i*j**3 + l*j + z*j**4 + n*j**2 and give z. -6 Rearrange (-2 - 3 + 0)*(-5 + g + 4 - 3) to w + a*g and give a. -5 Express -1759*v**4 + 1757*v**4 - v**2 + 3*v**3 + 2*v - 2*v**2 as y*v**4 + d + w*v**3 + i*v + f*v**2 and give i. 2 Express (5 - 3 + 0)*(m**3 - m**2 + 3*m**3 + 2*m**3 + m) in the form i*m + c + u*m**3 + w*m**2 and give u. 12 Express 0*k**3 + 6*k + 2*k**3 - 19*k - 23*k in the form y + f*k + s*k**3 + q*k**2 and give s. 2 Express (-3 + 2 - 1)*(-w + 0 + 0)*(-3 + 2 + 0)*(3 - 5 - 1)*(0*w + 6*w - 4*w) as b + v*w + i*w**2 and give i. 12 Rearrange -2*k**2 + 4*k**2 + 3*k**4 + 4*k**2 - 2*k**4 + 1 to n*k**3 + h*k + c + q*k**2 + o*k**4 and give q. 6 Express -439*t + 439*t + 2 + 6*t**2 as n*t + b + h*t**2 and give n. 0 Rearrange 6*v**3 + 9*v - 2*v**2 + 0*v**3 - 5*v**3 - 2*v**4 to the form z*v**4 + l*v**2 + m + t*v + p*v**3 and give z. -2 Rearrange 3*s**4 + 6*s**4 + s**4 + (s**3 + 2*s**3 - 4*s**3)*(3*s - 2*s - 3*s) to w*s**4 + a*s**2 + r*s + u*s**3 + x and give w. 12 Rearrange w**3 + 0*w**3 + w**2 - 4*w**3 to the form c*w**2 + m + z*w + h*w**3 and give h. -3 Express -4*h + 13*h + 18*h**2 - 8*h as r*h + m*h**2 + x and give r. 1 Express -2*p + 2*p - 8*p + p as a*p + n and give n. 0 Rearrange -5*l - 16*l + 6*l to a + o*l and give o. -15 Express -3*r - 5*r + 3*r as k + z*r and give z. -5 Express 2*z + z**2 + 3*z + 0*z**2 in the form q + p*z**2 + g*z and give g. 5 Rearrange -5*n**2 - 63*n**2 + 26*n**2 + (1 - 1 + 2*n)*(n - 2*n - n) - n**2 + 5*n**2 - 2*n**2 to s*n + r*n**2 + l and give r. -44 Express (5 - 4 - 2)*(12*w + 19*w - 71*w)*(-2 - 2 + 3) in the form y + v*w and give v. -40 Rearrange (-5*y + 2*y + 5*y)*(10 + 8 + 1) + 4*y - 2*y - 4*y to l + d*y and give d. 36 Rearrange (-n - 4*n + 3*n)*(-n**2 + n**2 + n**3) + 15*n**3 - 9*n**3 + 9*n**3 - 5*n**4 to i*n + a*n**3 + x*n**4 + j*n**2 + r and give a. 15 Express 3*r**3 - r - 2*r**2 + 38*r**4 + 45*r**4 - 80*r**4 as n*r + v*r**4 + k*r**2 + j*r**3 + y and give j. 3 Rearrange (2 - 3 + 3)*(1 + 4 + 5)*(5*x - x - 2*x) to the form j*x + s and give j. 40 Express a**3 + a**3 + 2*a - 44 - 2*a in the form u*a + q*a**3 + b + g*a**2 and give q. 2 Express -19*y**2 - 36 + 10 + 17*y**2 as a*y**2 + z*y + n and give n. -26 Rearrange -2*y + 7*y + 7*y - 2*y to u + n*y and give n. 10 Express (1 + 3 - 1)*(3*v + 568 - 13*v**4 - 568) as n*v**4 + z*v + b + j*v**3 + p*v**2 and give n. -39 Express 15 + 3*f**2 - 44 + 5*f + 15 + 16 in the form l*f + o*f**2 + y and give o. 3 Rearrange -1 + 2*i + 3*i**2 - 3*i**2 - i**2 - 2*i**2 to the form j*i + n + y*i**2 and give y. -3 Express (6 + 13 + 22 + 13)*(-3*i + 0 + 0) as v*i + p and give v. -162 Rearrange 1 - 1 + 0 + 53*r to g + a*r and give a. 53 Rearrange 14*n**2 - n - 29*n**2 + 12*n**2 to the form f + i*n**2 + d*n and give d. -1 Rearrange (0 + 2 + 0)*(-11 + p - 3 + 0) to c + x*p and give x. 2 Express (1 - 1 + x**2)*(0*x**2 - x**2 - x**2 + (2*x**2 + 4*x**2 - 4*x**2)*(0 + 3 - 1)) in the form k*x**4 + l*x**2 + c + u*x + i*x**3 and give k. 2 Rearrange -y**3 + 4*y**3 - y**3 + (-3*y + 2*y + 3*y)*(-2*y**2 + 3*y**2 - 4*y**2) to the form m + g*y**3 + o*y + d*y**2 and give g. -4 Express (25*o**2 - 6*o**2 - 5*o**2)*(0*o**2 + 4*o**2 - 5*o**2) in the form v*o**4 + n*o**3 + h + t*o**2 + d*o and give v. -14 Express 8*n**3 + n**4 + 4 + 7 - n**2 - 10 - 4*n**3 as j + v*n**3 + o*n**2 + c*n**4 + b*n and give j. 1 Express -330*c + 330*c - 10 + c**2 + (-4*c**2 + 4*c**2 - 3*c**2)*(2 - 2 - 1) as a + i*c + s*c**2 and give i. 0 Rearrange o - o**3 + 40 - 40 - 9*o to the form q*o**2 + x*o + k*o**3 + c and give x. -8 Express 5 + 7 - 24 + 11 - d - 15*d**3 as n*d**2 + w*d**3 + b*d + c and give b. -1 Rearrange -1 - 2 + 0*z + 0*z - 2*z**2 to i + o*z**2 + t*z and give i. -3 Rearrange (1 - 3 + 0)*(-a - 2*a + 2*a) - 2*a - a + 4*a + (-3*a - 2 + 2)*(-1 - 2 + 1) to o + u*a and give u. 9 Rearrange (-1 - 4 + 3)*(-3*p + 2*p + 0*p) + 9 + 76*p - 40*p - 35*p to f*p + h and give f. 3 Rearrange (k**2 - 2*k**3 - k**2)*((4*k - 6*k + 0*k)*(0 + 2 + 0) + 12*k - 203 + 203) to the form x*k**3 + o*k**4 + v*k + l*k**2 + i and give o. -16 Express (-7*x + 2*x + 2*x)*(0*x**2 + 4*x**2 - 5*x**2 + (0 - x + 0)*(4*x - x - 2*x)) in the form t*x**3 + d*x**2 + f*x + i and give t. 6 Rearrange (1 + 2*v - 1)*(-2 + 3 - 3) - 2*v + v + 3*v + (2 + 3 - 3)*(40*v - 118 + 118) + v - 3*v + v to r + d*v and give d. 77 Express 7*i + 0*i - i**2 + i**3 - 2 - 3*i + 6 as o + y*i + x*i**3 + h*i**2 and give x. 1 Rearrange 5*t - 15*t + t - 10*t to the form w + c*t and give w. 0 Express 5*n - 4*n + 2*n - 5 + 5 + 4*n - n - n + 3*n + (-1 + 1 - 2)*(0 - 2*n + 0) + (4*n - 3*n - 3*n)*(4 + 1 - 3) + 0 + 2*n + 0 as q + t*n and give t. 10 Express (-v - 9*v + 12*v)*(0 + 2 - 7) in the form j + g*v and give g. -10 Express -10*x - 14 + 6 + 8 in the form y + g*x and give y. 0 Rearrange -39 - s + 39 + (2 - 3 + 0)*(-2*s + s - s) to m
{ "pile_set_name": "DM Mathematics" }
7*d**3/6 + 3*d**2 + 1. Find the first derivative of c(h) wrt h. 33*h**2 Let f(v) = -v**5 + v**4 + v**3 + v**2. Let i(q) = 5*q**5 + 5*q**4 + 5*q**3 - q**2. Let x(c) = -5*f(c) + i(c). Find the third derivative of x(y) wrt y. 600*y**2 Let d(r) be the first derivative of -r**6/6 - 11*r**3/3 + 14. Find the third derivative of d(v) wrt v. -60*v**2 Let g(a) = -4*a + a**2 + 2 + 2 + 0. Let p be g(4). What is the derivative of 0*o**4 - 3*o**p - 1 + 4*o**4 wrt o? 4*o**3 Let x(w) = -12*w**3 + 3*w**2. Let s(v) = v**3 + v. Let o(i) = -3*s(i) - 3*x(i). Find the third derivative of o(l) wrt l. 198 Suppose 15 = 2*d + d. What is the third derivative of 0*w**5 + 5*w**2 - 3*w**2 - d*w**2 + 6*w**5 wrt w? 360*w**2 Let c(w) = -4*w**3 + 7*w**2 + 6. Let j = 9 - 4. Let u(g) = -j*g**2 - 4 - 2*g**3 + 0 + 5*g**3. Let r(t) = 5*c(t) + 7*u(t). What is the derivative of r(a) wrt a? 3*a**2 Suppose 0 = 2*a - 4*a + 18. Let t = -5 + a. What is the third derivative of 3*q**2 - 2*q**4 - q**t + 0*q**4 + 0*q**4 wrt q? -72*q Let j(m) = -m - 1. Let g(f) = 3*f**2 + 6*f + 4. Let o(w) = -3*g(w) - 12*j(w). Find the second derivative of o(q) wrt q. -18 Let u(m) be the third derivative of -m**8/336 + 5*m**4/12 - 8*m**2. What is the second derivative of u(l) wrt l? -20*l**3 Let d(i) = 2*i + 1. Let a be d(1). Find the first derivative of -4*s**4 + a*s**4 - 2 + 0*s**4 + 3*s**4 wrt s. 8*s**3 Let p(y) = 10*y**3 + 2*y. Let b(u) = 30*u**3 + 7*u. Let x(f) = 4*b(f) - 11*p(f). Find the second derivative of x(i) wrt i. 60*i Let d(l) be the first derivative of 2*l**7 + l**3/3 - 11. What is the third derivative of d(f) wrt f? 1680*f**3 Let c(y) = -y**2 - 2. Let r(w) = 1. Let m(g) = -c(g) - 2*r(g). Let s(x) = -1. Let o(a) = 4*m(a) - s(a). Differentiate o(f) with respect to f. 8*f Let v(b) be the second derivative of -29*b**5/10 - 30*b**2 - 71*b. Differentiate v(n) with respect to n. -174*n**2 Let b(i) be the second derivative of -4*i + 1/4*i**4 + 1/6*i**3 + 0*i**2 + 0. Find the second derivative of b(k) wrt k. 6 What is the third derivative of -2*g**3 + 5*g**2 - 7*g**3 + 0*g**2 + g**3 wrt g? -48 Let j be 4 + (4 + -2 - 3). Find the second derivative of -12*t**j + 12*t**3 - 4*t**5 - 4*t wrt t. -80*t**3 Let x(m) be the third derivative of m**10/1680 + m**6/180 + m**3/3 - m**2. Let c(k) be the first derivative of x(k). Find the third derivative of c(o) wrt o. 360*o**3 Find the first derivative of 60*k - 42*k + 4 + 3 wrt k. 18 Let r be (-15)/(-2)*4/6. What is the second derivative of q**5 + 0*q**r - 4*q**5 + 3*q wrt q? -60*q**3 Let d be (-3)/6*-2 - 5. Let z = -3 - d. Differentiate 6 - z - y - 3 with respect to y. -1 Let w(n) = 8*n**2 + 6*n + 3. Let u(y) = -23*y**2 - 17*y - 8. Suppose 2*m + m - 9 = 0. Let k(v) = m*u(v) + 8*w(v). What is the second derivative of k(t) wrt t? -10 Let r(v) be the third derivative of -31*v**6/120 - 11*v**5/30 + 32*v**2. What is the third derivative of r(l) wrt l? -186 Suppose t - 9 = -2*t. Find the third derivative of -6*p**3 + 0*p**3 + p**2 + 5*p**t + 0*p**2 wrt p. -6 Let t be 5 - 1/((-3)/(-6)). What is the third derivative of 3*u**2 + 0*u**2 - 3*u**2 + 7*u**5 + t*u**2 wrt u? 420*u**2 Let j(u) = -2*u**2 - 1. Let h(s) = 6*s**2 + 3. Let y = -6 + 2. Let l(q) = y*h(q) - 14*j(q). What is the first derivative of l(d) wrt d? 8*d Let i(a) be the second derivative of -a**7/840 + a**5/60 - a**4/4 - a. Let m(r) be the third derivative of i(r). Differentiate m(v) wrt v. -6*v Let h(c) be the first derivative of -c**2 + 1 + 2*c + 1/6*c**3. Let m(t) be the first derivative of h(t). Find the first derivative of m(x) wrt x. 1 Suppose 2*k - d = 2*d + 15, -k + 5 = -d. Let x = 2 - k. What is the third derivative of -f**5 + f**5 + f**6 - 3*f**x + 5*f**2 wrt f? 120*f**3 Find the second derivative of -16*c**4 + 9*c + 7*c - 9*c wrt c. -192*c**2 Let w(j) be the second derivative of 5*j**4/2 - 7*j**3/2 - 20*j. Find the second derivative of w(v) wrt v. 60 Let p(h) = h**4 + 3*h**2 + 13*h + 3. Let g(q) = -q**2 + q - 1. Let r(a) = 3*g(a) + p(a). What is the second derivative of r(m) wrt m? 12*m**2 Let l(h) be the second derivative of 0*h**3 + 0*h**5 - 1/14*h**8 + 0*h**6 + h + 0*h**2 + 0 + 1/12*h**4 + 0*h**7. What is the third derivative of l(w) wrt w? -480*w**3 Let h(a) = -a. Let s(z) be the second derivative of z**2/2 - 2*z. Let f(u) = 2*h(u) - s(u). Find the first derivative of f(i) wrt i. -2 Let g(z) = z**4 - 4*z**2 - 4*z + 3. Let x be (1 + -1)/3 + 1. Let h(w) = -w**4 - w**2 - w. Let i(s) = x*g(s) - 4*h(s). Differentiate i(m) with respect to m. 20*m**3 Let j(g) be the third derivative of -1/24*g**4 - 1/15*g**5 + 0 - 5*g**2 + 0*g + 0*g**3. What is the second derivative of j(d) wrt d? -8 Let q be (-1)/3 - (-20)/(-30). Let f(j) = 3*j**3 + 6*j**2 - 6*j - 2. Let h(z) = z**3 + z**2 - z + 1. Let n(o) = q*f(o) + 6*h(o). Differentiate n(a) wrt a. 9*a**2 Suppose 17 - 2 = 5*p. What is the second derivative of -3*k**3 - 6 + 9 - p + 3*k wrt k? -18*k Let r(i) be the second derivative of 2*i**7/21 - i**6/10 + 4*i**4 - 23*i. What is the third derivative of r(y) wrt y? 240*y**2 - 72*y What is the third derivative of -t**4 - 3*t**2 + 24*t**2 + 6*t**3 - 47*t**2 wrt t? -24*t + 36 Let t(z) = -5*z**2 + 4*z - 55. Let y(w) = 5*w**2 - 4*w + 54. Let g(c) = -4*t(c) - 3*y(c). Differentiate g(a) wrt a. 10*a - 4 Let n(h) = -h**2 - 1. Let t(a) = 59*a**2 - 11*a + 3. Let k(p) = 5*n(p) + t(p). What is the second derivative of k(q) wrt q? 108 Suppose -3*l = -6 - 3. What is the derivative of o**3 - o**l + 3 + o**3 wrt o? 3*o**2 Let k be -10*(-1)/2 + -1. Suppose -i + 4 = k*q, 4*q = 4*i + q - 16. Find the second derivative of -9 + 9 + 2*v**i - v wrt v. 24*v**2 Suppose -3*z - 4 = -19. Suppose 2*c + u = -2*c + 7, -z*c = 3*u. Find the third derivative of -3*s**2 + 0*s**3 + 0*s**c + 3*s**3 - 2*s**3 wrt s. 6 Let z(f) = -4*f**2 + 4 - 2*f**2 - 6*f + 5 - 2. Let q(l) = 6*l**2 + 5*l - 6. Let d(a) = 7*q(a) + 6*z(a). What is the second derivative of d(n) wrt n? 12 Let y(p) = -p**2 + 1. Let x(c) = 8*c**3 + 4*c**2 + 13*c - 4. Let g(f) = -x(f) - 4*y(f). Find the second derivative of g(l) wrt l. -48*l Let o(r) be the second derivative of r**7/2 + 3*r**3 - 24*r. Find the second derivative of o(b) wrt b. 420*b**3 Differentiate -2*m + 7*m + 9*m + 1 - 5 wrt m. 14 Let a(g) = -g - 4. Let v be a(-6). Find the third derivative of v*w**2 + 3*w**2 + 42*w**3 - 38*w**3 wrt w. 24 Let c(g) be the first derivative of 13*g**4/2 + 5*g**2 - 35. What is the second derivative of c(m) wrt m? 156*m Let o(u) be the second derivative of -13*u**6/30 - 4*u**3/3 - 10*u. What is the second derivative of o(m) wrt m? -156*m**2 What is the third derivative of 0*w**4 - 70 + 70 - 14*w**4 - 7*w**2 wrt w? -336*w Suppose -4*z - a + 14 = 0, 0*a = -a - 2. What is the third derivative of -1 - 2 - 4*x**2 - x**z + 3 wrt x? -24*x Let t(z) = 3*z**4 - 6*z**3 - 6*z**2 + 6*z + 15. Let r(n) = -n**4 + n**3 + n**2 - n - 1. Let y(q) = -6*r(q) - t(q). Differentiate y(h) wrt h. 12*h**3 Let q = -6 + 8. What is the derivative of -2*h**4 - h**4 + q + 5*h**4 wrt h? 8*h**3 Let u(n) be the second derivative of 11*n**4/12 + 30*n**2 - 3*n + 2. What is the first derivative of u(w) wrt w? 22*w Let t(c) be the first derivative of -12*c**7/7 - c**3/3 - 11. What is the third derivative of t(s) wrt s? -1440*s**3 Find the second derivative of 4*k**3 - 4*k**3 + 23*k - 27*k**4 + 0*k**3 wrt k. -324*k**2 Suppose 13*x = 16 + 10. Let j(h) be the first derivative of 0*h + 0*h**4 - 2/5*h**5 - x + h**3 + 0*h**2. Find the third derivative of j(s) wrt s. -48*s Suppose -44 = -k + 3*p, 3*k + 4*p - 96 = -k. Find the second derivative of 29*h**2 - k*h**2 - 4*h**4 + 4*h wrt h. -48*h**2 Let n(w) = w**2 - w. Let c(u) = -3*u**3 + 2*u**2 - 4*u. Let q(i) = -i + 5. Let b be q(7). Let k(d) = b*n(d) + c(d). Find the second derivative of k(h) wrt h. -18*h Let z(l) be the first derivative of -l**2 + 0*l**4 + 0*l**5 - 1/3*l**6 + 0*l**3 + 0*l - 1. What is the second derivative of z(x) wrt x? -40*x**3 Let b(m) = -2*m**3 + m**2 - 3*m. Let l = 4 + -7. Let d(j) = -j**3 + j**2 - j. Let q(r) = l*d(r) + b(r). Find the third derivative of q(g) wrt g. 6 Let t(q) be the first derivative of -27*q**4/4 - 19*q**2/2 - 6. What is the second derivative of t(p) wrt p? -162*p Let o(i) = 24*i**4 - 11*i**2 - 26*i + 11. Let g(d) = 8*d**4 - 4*d**2 - 9*d + 4. Let h(c) = -
{ "pile_set_name": "DM Mathematics" }
What is the units digit of x? 3 Suppose 4*t = -5 + 1, -c + 3*t + 10 = 0. Suppose 2*s = c - 1. Suppose 0*n - 3*i - s = -3*n, -5*i = -2*n - 13. What is the units digit of n? 6 Let m(x) = x**2 + 4*x. Let d be m(-3). Let f = d - -14. What is the tens digit of f? 1 Suppose 3*g = 4*b + 14, 3*g - 6*b + b = 13. Let q be ((-3)/12*0)/1. Suppose q = -5*u + g + 9. What is the units digit of u? 3 Let w(u) = u - 1. Let g(i) = 4*i - 5. Let j(s) = g(s) - 3*w(s). What is the units digit of j(3)? 1 Let t be (-2 - 4 - -1)*-1. Let m = -31 + 31. What is the units digit of t - ((-6 - -3) + m)? 8 Suppose 4*t = 5*t + 28. Let g be 80/(-14) + 8/t. Let i(s) = s**2 + 2*s - 4. What is the units digit of i(g)? 0 Suppose 0 = 2*g + p - 3, 0 = -5*g + 2*p + 2*p - 12. Suppose c = -g*i - 4*i + 52, c - i = 32. What is the units digit of c? 6 Let g = -34 - -82. Suppose -3*b = b - g. What is the units digit of b/(-2)*-1*1? 6 Let o = -56 + 106. What is the tens digit of o? 5 Let m(u) = u**3 - u - 1. Let j be m(-2). Let n(h) = -h**2 - 6*h + 2. Let w be n(j). Let s = w - -8. What is the units digit of s? 3 Let h(y) = -y**3 + 7*y**2 + 8*y + 7. Let q = 2 + 6. What is the units digit of h(q)? 7 Let c = 7 - 1. Let j be 2/c - (-178)/6. Let f = -18 + j. What is the tens digit of f? 1 Suppose -3*m + 2*m + 15 = 0. Suppose 5*a + 0 = m. Let u = 4 - a. What is the units digit of u? 1 Let y be 1/(18/(-10) + 2). Suppose y*b + 6 = 16. Suppose -4*z + 24 = 4*x, -5*x - b*z + 27 = 2*z. What is the units digit of x? 3 Let g = 19 - 31. Let h(b) = b**3 + 12*b**2 - 2*b + 14. What is the units digit of h(g)? 8 Suppose 2*z = -5*l + 212, l + 1 - 33 = -3*z. What is the units digit of l? 4 Let d(r) = r**2 + r + 2. Let v be d(0). What is the tens digit of 53/v + (-12)/8? 2 Suppose 3*p - 5*n + 0*n - 32 = 0, 0 = -2*p - 4*n + 36. Let t be 3/5 - (-96)/(-10). Let b = t + p. What is the units digit of b? 5 Suppose 284 = 10*z - 6*z. Suppose -c - 16 = 2*r - z, 3*c + 69 = 3*r. What is the units digit of r? 6 Suppose 1 = 5*t - 4. Let a = 9 - t. What is the units digit of a? 8 Suppose 2*f - 5 = -p, -5*f = -8*f - 3*p + 12. Let m(o) = 6*o**3 + 1. Let g be m(f). Suppose -g = 2*t - 27. What is the units digit of t? 0 Suppose -3*b = x + 4, -3*x + 2 = -0*b + 2*b. Suppose x*i - 2*r = 82, r - 76 - 18 = -2*i. What is the tens digit of i? 4 What is the hundreds digit of 6/27 + (-2473)/(-9)? 2 Let r = 6 - 4. What is the units digit of 4 + (r - (2 + -1))? 5 Let x(i) = -2*i**3 - 3*i**2 - i + 2. Let a be x(-2). Suppose 2*s = -0*s + 8. Suppose -s*j = -a - 16. What is the units digit of j? 6 What is the tens digit of 3 + (-124)/(-3 + -1)? 3 Let i = -11 - -4. Let t = -3 - i. What is the units digit of t? 4 Let q(u) = u**2 - 3*u - 2. Let a be q(5). Suppose -5 - a = -z. Let o = z - 8. What is the units digit of o? 5 Let a(n) be the third derivative of n**6/40 - n**5/60 + n**3/6 + 3*n**2. Let p be a(1). Suppose p*w = -10 + 31. What is the units digit of w? 7 Let c(l) = -l - 5. Let b be c(-5). Suppose b = -5*n - 2*j + 6, 0 = n + 3*j - j - 6. What is the units digit of -1 + 2 - n - -1? 2 Suppose t + 11 = -4*j, 6*t = 3*j + 2*t + 13. Let b = j - -12. What is the units digit of b? 9 Suppose 20 = -0*a + 4*a, 2*a + 102 = 2*n. What is the tens digit of n? 5 Suppose 0 = i + 2*s - 12, -2*s - 5 = -i + 15. What is the tens digit of i? 1 Let u be 6/(-21) + 9/7. Let o be 2 + 1 - (u + 0). Suppose 3*d + 26 = 2*v, 4*d = o*v + v - 38. What is the units digit of v? 0 Let m = -17 + 55. What is the tens digit of m? 3 Suppose 0 = -3*x + x - 5*b + 37, -3*x - 2*b + 39 = 0. Suppose -114 = -5*y + x. What is the units digit of y? 5 Let t = 9 - 5. Suppose 5*x - t*b - 14 = 54, b = -x + 10. What is the units digit of x? 2 What is the units digit of 36 - (-1 - 1 - -3)? 5 Let y = 17 + -4. What is the units digit of y? 3 Suppose 8*y - 3*y = 130. What is the units digit of y? 6 Let d(r) = -13*r - r**2 + 2*r**2 + r**2 - 5 + 17*r. What is the tens digit of d(-4)? 1 Let i(g) = -g**3 - 12*g**2 - 11*g + 3. Let l be i(-11). Suppose 0 = 3*r - 15 - l. Let c = r + 5. What is the tens digit of c? 1 Let q(x) = x**3 - 11*x**2 - 15*x + 18. Let r be q(12). What is the tens digit of (-975)/r - 2/12? 5 Let g be 5/1*(-6)/(-6). Suppose 0 = -g*o + 5. Let w = 7 - o. What is the units digit of w? 6 What is the units digit of (-235 + -2 + 4)/((-5)/5)? 3 What is the units digit of (-652)/(-14) - 16/28? 6 Suppose -32 - 38 = -5*z. Let d = z - -6. Suppose -4*g = -d - 4. What is the units digit of g? 6 Let f = -24 - -6. Let x = 28 + f. What is the tens digit of x? 1 Suppose -3*t = 2*a - 4*t + 4, -4*t + 16 = a. Suppose a = 3*j - 4 - 11. What is the units digit of j? 5 Let v be (2/(-6))/((-2)/24). What is the units digit of (v/5)/((-1)/(-5))? 4 Let h = 8 + -7. What is the tens digit of (42 - 4)*h + 3? 4 Suppose c = -0*c - 5. Let j = c + 10. Suppose -5*z - 3*b = -66, -58 = -z - 3*z - j*b. What is the tens digit of z? 1 Let y = 17 + -26. Let t = -6 - y. What is the units digit of t? 3 Let q(k) = 4*k**2 - 4*k + 2. What is the units digit of q(2)? 0 Let d be 20/(-6) + (-1)/(-3). Let q = -4 - d. What is the units digit of q - (0 - 10)/2? 4 Let p = -121 - -208. What is the tens digit of p? 8 Suppose 2*r - 6 = 20. Suppose 2*l - 77 = -17. Suppose 3*p = -w + 39, -2*p + r + l = -5*w. What is the tens digit of p? 1 Let m(s) = 6*s**2 - 29*s - 4. What is the tens digit of m(11)? 0 Let g(o) = -o**2 + 6*o - 5. Let h be g(4). Suppose h + 0 = m + t, t = 2*m - 6. Suppose m*p = 12 + 9. What is the units digit of p? 7 Let x = 16 - 11. Suppose x*s + 3 - 8 = 0. What is the units digit of (1 - s) + 1*3? 3 Let j(a) = a - 4. Let z be j(4). Suppose -4*k + 4 + 0 = z, -7 = -o + 5*k. What is the tens digit of o? 1 Suppose 0 = -2*c - i + 147, 4*i + 7 = -c + 63. What is the tens digit of c? 7 Let i be (3 + 0)/((-2)/(-2)). Suppose 17 + 3 = 4*r. Let n = r - i. What is the units digit of n? 2 Suppose 4*j + 2*r - r = -3, -5*j + 5*r = -15. Suppose 3*c + 2 - 8 = j. Suppose 0 = 2*g + c*g + 5*z + 8, -26 = -2*g + 5*z. What is the units digit of g? 3 Suppose 2*r = 4*d + 2, -5*r + d - 23 = 5*d. Let h = r + 10. What is the units digit of h? 7 Let s(l) = -2*l + 6. Let p be s(-8). Let m = 44 - p. What is the tens digit of m? 2 Let l be (-20)/(3/6*-1). Let q = -16 + l. What is the tens digit of q? 2 Suppose -2*j - j + 342 = 0. What is the tens digit of j? 1 Let v(w) = 15*w + 82. What is the tens digit of v(16)? 2 Suppose -u + 11 = y + 2*u, -2*y + 10 = 2*u. Suppose -4*v - 39 + 7 = 0. Let c = y - v. What is the units digit of c? 0 Let r(u) = -u**2 - 11*u. Let i be r(-11). Let c be -1 + i - (-4 + -7). Suppose -o = o - c. What is the units digit of o? 5 Let h(a) = 19*a**2 - 8*a - 19. What is the hundreds digit of h(-4)? 3 Let w = 58 + -17. What is the tens digit of w? 4 Suppose -2 = d - 3*t - 3, -4*t = d - 8. What is the units digit of (-27)/(-4) - (-1)/d? 7 Let m = 0 - -2. Suppose -3*s + 1 = -m. What is the units digit of 1 - (s - 2 - 3)? 5 Let m = -21 - -36. What is the tens digit of m? 1 Suppose 1 = -3*w - 8. What is the units digit of (-1)/w - (-8)/12? 1 Suppose -k + 7 = -2*y + 19, 3*y - 5*k = 11. What is the units digit of y? 7 Let s(m) = -m**3 + 2*m**2 + 3*m - 3. Let y be s(2). Suppose -1 - 2 = -y*q. What is the units digit of q? 1 Let a be 2/((-2)/1) + 0. Let r be (a/(2/(-4)))/(-2). What is the tens digit of (-2 - r) + 48/4? 1 What is the hundreds digit of 28/(-1)*(-37)/4? 2 Suppose -25 + 1 = -3*v. Suppose 3*r + 3*k - k = 6, 0 = 2*r + k - 4. Suppose -4*x + 4*g = v, 0 = -3*x + r*g - 4*g + 9. What is the units digit of x? 1 Suppose -1 = -h + 1. Suppose 0 = -2*f + h. What is the units digit of f? 1 Let c = -121 - -232. What is the tens digit of c? 1 Suppose 0 = z - 3*z + 20. Let q = 11 + z. What is the units digit of (q - -4)*4/10? 0 Let c(p) = 56*p**2 - p + 1. Suppose 5*z - 2 = 3*z. Let v be c(z). Suppose -6*b + v = -2*b + 4*o, -2*o = -3*b + 17. What is the units digit of b? 9 Suppose -77 = -3*l - l + r, -3*l + 62 = -5*r. Suppose -1 + l = -x. Let h = -10 - x. What is the units digit of h? 8 Let c(a) = a**3 - 6*a**2 + 6*a + 2. Suppose 4*i = -5*l - 3, 5*l = -9 - 6. Suppose -i*b = -12, -4*r - 5*b = -3*b - 28. What is the units digit of c(r)? 7 Let b(y) = 3*y**2 - y - 1. Let c be b(-1). Suppose k - 4*k = c. Let j(f) = -8*f**3 + 2*f + 1. What is th
{ "pile_set_name": "DM Mathematics" }
*3 + 312*o**2 - 46 + 385 wrt o? -3*o**2 - 258*o Let i(x) be the second derivative of 0 + 5/2*x**2 + 2/3*x**3 + 5/24*x**4 - 5*x. Let q(l) be the first derivative of i(l). What is the derivative of q(v) wrt v? 5 Let k(i) be the third derivative of -i**6/30 + i**5/15 - 7*i**4/24 + i**3/6 - 33*i**2. What is the second derivative of k(q) wrt q? -24*q + 8 Let u be (1 + 1)*6/4. Suppose -5 = -m + u*o, 3*o - 2*o + 10 = 2*m. Find the second derivative of -m*s + 4*s**4 - s + 0*s wrt s. 48*s**2 Suppose 0*y - 12 = -6*y. What is the third derivative of -8*w**6 - 96*w**y + 94*w**2 + w**6 wrt w? -840*w**3 Find the third derivative of 7*n**2 + 148 - 10*n**2 - 4*n**3 - 86*n**3 + 4*n**2 wrt n. -540 Let s(z) be the first derivative of 35*z**2/2 - 128*z - 132. Differentiate s(x) with respect to x. 35 Let z(i) = -24*i - 45. Suppose -2*p = -3*p - 2. Let u(n) = 6*n - 4 + 15 - 9*n + 9*n. Let j(t) = p*z(t) - 9*u(t). Differentiate j(v) with respect to v. -6 Let c(a) = 15*a**3 + 47*a**2 - 3*a + 1. Let b(l) = l**2 - l. Let j(d) = -3*b(d) + c(d). Find the third derivative of j(g) wrt g. 90 Let p(q) be the first derivative of 7 + 0*q**3 - 9/2*q**2 + 6/5*q**5 + 0*q + 0*q**4. Find the second derivative of p(r) wrt r. 72*r**2 Let u(p) be the second derivative of 5*p**6/72 - 29*p**4/24 - 4*p**3 - 4*p. Let x(s) be the second derivative of u(s). Find the first derivative of x(k) wrt k. 50*k Let y = 33 + -29. Let p be 2*y*18/36. What is the second derivative of -p*a + 2*a**3 + 33*a**2 + 0*a**3 - 33*a**2 wrt a? 12*a Let g(d) be the third derivative of d**9/10080 + d**6/720 + d**5/5 + 10*d**2. Let q(z) be the third derivative of g(z). What is the derivative of q(v) wrt v? 18*v**2 Let j(b) = 64*b**2 + 1167*b - 18. Let m(n) = -16*n**2 - 292*n + 4. Let t(g) = -2*j(g) - 9*m(g). What is the second derivative of t(c) wrt c? 32 Let t(y) be the third derivative of 191*y**6/120 - 53*y**5/60 - 2*y**2. Find the third derivative of t(s) wrt s. 1146 Differentiate 336*p**3 + 96 + 68 - 4*p**4 + 147 + 59 - 351*p**3 wrt p. -16*p**3 - 45*p**2 Suppose -11*p = -9*p - 10. What is the third derivative of 3*n**3 - 19*n**2 + 7*n**p - 3*n**3 - n**5 wrt n? 360*n**2 Let v(h) be the third derivative of 271*h**7/210 + 268*h**3/3 - 69*h**2 + 1. What is the derivative of v(i) wrt i? 1084*i**3 Let w(b) = 25*b - 42. Let o(d) = -150*d + 252. Let y(f) = 75*f - 126. Let x(l) = 6*o(l) + 11*y(l). Let r(v) = -17*w(v) - 6*x(v). Differentiate r(j) wrt j. 25 Let m = 134 + -129. Find the third derivative of 73*u**2 - 4*u**5 - 124*u**2 + 2*u**4 + u**m wrt u. -180*u**2 + 48*u Let x(a) = 12*a**2 + 8*a + 121. Let c(h) = 12*h**2 + 6*h + 119. Let u(d) = -4*c(d) + 3*x(d). Differentiate u(n) with respect to n. -24*n Let l(i) be the third derivative of 41*i**7/210 + i**6/60 + i**5/15 + i**4/8 + 2*i**2 - 7*i. Find the third derivative of l(d) wrt d. 984*d + 12 Let b(m) = -5*m + 5. Let k be b(-5). Suppose a + k = 6*a. What is the third derivative of -4*c**5 + 7*c**5 - a*c**3 + 6*c**3 + 5*c**2 wrt c? 180*c**2 Let i(t) = -t**2 + 3*t - 1. Let l(d) = d**3 + 2*d**2 - 56*d + 222. Let p(w) = 2*i(w) + l(w). Find the first derivative of p(c) wrt c. 3*c**2 - 50 What is the third derivative of 64 - 4*m**5 + 3*m**3 - 18 + 11308*m**2 - 11306*m**2 wrt m? -240*m**2 + 18 Let c(h) = h - 17. Let t be c(19). Let j(x) = 9*x - 3. Let p(y) = 1. Let k(b) = t*j(b) - 10*p(b). What is the first derivative of k(g) wrt g? 18 Let x(m) be the first derivative of m**5/5 - 86*m**3/3 + 821*m**2/2 - 544. What is the second derivative of x(g) wrt g? 12*g**2 - 172 Let y be -2 - (10/4)/(1/(-2)). Find the first derivative of 11*k**3 + 49 + 12*k**3 - 46*k**y - 4 wrt k. -69*k**2 Let c(v) be the third derivative of v**8/40 + 23*v**4/12 + 19*v**3/6 + 2*v**2. Let w(x) be the first derivative of c(x). Differentiate w(z) wrt z. 168*z**3 Find the third derivative of 116*d**2 - 383*d**6 - 24*d**2 + 716*d**5 + 300*d**2 - 716*d**5 wrt d. -45960*d**3 Let f(n) be the second derivative of -29*n**5/10 + 11*n**3/3 - 3*n**2/2 + 18*n. What is the second derivative of f(v) wrt v? -348*v Let j(x) be the second derivative of -13*x**6/3 + 41*x**4/4 - x**2/2 - 86*x + 2. Find the third derivative of j(n) wrt n. -3120*n What is the third derivative of 98*u - 180*u - 12*u**4 + 0*u**2 + 105*u + 12*u**3 - 2*u**2 wrt u? -288*u + 72 Let f(o) = -188*o**2 + 4*o + 72. Let y(v) = -188*v**2 + 6*v + 70. Let a(b) = 3*f(b) - 2*y(b). Differentiate a(i) with respect to i. -376*i Let q(a) = 47*a**2 + 124*a + 6. Let k(w) = 188*w**2 + 496*w + 26. Let s(p) = -6*k(p) + 26*q(p). What is the second derivative of s(h) wrt h? 188 Let w = 34 + -30. What is the derivative of -b**4 - 1 + 9*b**w - 3*b + 3*b wrt b? 32*b**3 Let q(z) be the second derivative of 0*z**6 - 19/42*z**7 + 0*z**5 + 0*z**3 + 0*z**2 + 0 - 17*z - 11/6*z**4. What is the third derivative of q(o) wrt o? -1140*o**2 Let r(q) be the first derivative of 0*q**2 - 17/3*q**3 + 0*q**4 + 0*q**6 + 0*q**5 + 0*q - 9/7*q**7 + 16. Find the third derivative of r(n) wrt n. -1080*n**3 Suppose 0 = -4*z - d + 22, -23 = -3*z + 4*d + 3. Let x(p) = -p**3 - p**2 - 1. Let b be x(-2). Find the second derivative of 2*y + y**3 - z*y + y**b + 0*y wrt y. 12*y Suppose 3*z = 8 - 5, -4*a - z + 9 = 0. Let g be (5 + 0)/(0 - -1). What is the third derivative of g*k**2 + 3*k**2 - a*k**4 - 3*k**2 wrt k? -48*k Let m be 6/15 + 264/15. Suppose -m = -5*q + 8*q. Let d(j) = -j**2 - 7. Let g(b) = -b**2. Let c(w) = q*g(w) - d(w). Differentiate c(p) with respect to p. 14*p Let k(y) = 97*y**4 - 69*y**2 - 3*y - 3. Let h(f) = -291*f**4 + 206*f**2 + 8*f + 8. Let b(p) = -3*h(p) - 8*k(p). What is the third derivative of b(j) wrt j? 2328*j Suppose 3*x = 8*x + 2*x. What is the derivative of x*c + 18*c**4 + 0*c + 29 - 6 wrt c? 72*c**3 Let k(f) be the second derivative of -25/12*f**4 + 0 + 0*f**2 - 19/6*f**3 - 23*f. Find the second derivative of k(n) wrt n. -50 Let v be 0 - (-294)/8 - (-2)/8. What is the first derivative of -86 + 44 + 2*x + v wrt x? 2 Let k = -10 - -12. Suppose 10 - 2 = k*h. Find the first derivative of 6 + 2*u - h + 2 wrt u. 2 What is the derivative of -12*b**3 + 114 - 89 + 12*b**3 + 190 + 34*b**4 wrt b? 136*b**3 Let y(z) be the third derivative of 2*z**2 - 1/30*z**6 + 0*z + 0*z**5 + 0 + 2/3*z**3 + 0*z**4. Differentiate y(a) wrt a. -12*a**2 Let r(f) be the first derivative of 16*f**5/5 + f**4/4 + 37*f**3/3 - 5. Find the third derivative of r(x) wrt x. 384*x + 6 Let a = 1 + 0. Let r(c) = -c**3 - 56*c**2 - 53*c + 114. Let n be r(-55). Differentiate -2 + 6 - 5*s**n + a with respect to s. -20*s**3 Let r(v) be the first derivative of 65*v**6/6 - 27*v**2 + 61. Find the second derivative of r(l) wrt l. 1300*l**3 Differentiate 490 + 451*n**4 - 20*n**4 + 58*n**4 with respect to n. 1956*n**3 Let h = 89 + -86. Find the third derivative of -4*x**3 + 2*x**2 + 2*x**2 - 8*x**3 - 4*x**h wrt x. -96 Let w = 154 + -152. Let y(v) be the third derivative of 1/8*v**4 + 0 - 6*v**w + 0*v + 2/3*v**3. What is the derivative of y(j) wrt j? 3 Find the second derivative of -66*p**3 - 9*p - 36*p**3 + 3*p**3 - 56*p**3 - 12*p wrt p. -930*p Suppose 18 = 5*b - 2*b. Let k be 4/10 - b/15. What is the second derivative of 2*f**2 + k*f + 3*f - 3*f**2 wrt f? -2 Let s(n) be the third derivative of -n**8/168 + 31*n**7/210 - 37*n**5/30 + n**2 + 265*n. What is the third derivative of s(o) wrt o? -120*o**2 + 744*o Suppose 0 = b + b. Suppose -y - 2 = b, c + 2*c + y = 4. What is the third derivative of 2*o**4 - 2*o**2 + 3*o**2 - o**c + 3*o**2 wrt o? 48*o Suppose -9*o = 5*o - 98. What is the second derivative of 22*a - a**3 - o*a**2 + 7*a**2 wrt a? -6*a Suppose l - 3*h = 43, -2*l + h - 6*h + 97 = 0. Suppose -a + 4*g = g - 46, 2*a = -3*g + 92. Find the third derivative of 7*q**2 + 6*q**5 + a - l wrt q. 360*q**2 Suppose 4*n + 3 = n - 3*q, -3*q - 12 = 0. Let o be 9*(n + (-7)/3). What is the third derivative of -7*j**2 + 7*j**4 - 7*j**4 + o*j**5 + 15*j**2 wrt j? 360*j**2 Let a(n) = n**3 + 4*n**2 - 1. Let c(m) = -78*m**4 + 3*m**3 + 13*m**2 + 111*m - 3. Let v(h) = 3*a(h) - c(h). What is the third derivative of v(g) wrt g? 1872*g Let k = -19 - -21. Find the first derivative of 5*q**k - 21*q**2 - 6 + 1 wrt q. -32*q Let k(l) be the first derivative of -7*l**6/60 - 11*l**3/6 + 2*l**2 - 10. Let j(q) be the second derivative of k(q). Differentiate
{ "pile_set_name": "DM Mathematics" }
= 2*c**2 + 20*c + 7. Let w(o) = 5*q(o) + 2*y(o). Let k be w(-9). What is the tens digit of ((-115)/(-15))/(1/k)? 2 Let o be 265/20 - (-2)/(-8). Let q(u) = u**3 - 12*u**2 - 12*u - 15. Let f be q(o). What is the units digit of f/(-8) - 15/(-4)? 4 Suppose 898*b - 897*b - 1224 = 0. What is the hundreds digit of b? 2 Suppose 64*b = 69*b - 20. Let t(l) = 29*l + 13. What is the tens digit of t(b)? 2 Suppose -20*d + 25*d = 0. Suppose d = 3*v - 3*g - 63, -4*v + 3*v + 2*g = -26. What is the tens digit of v? 1 Let n be (-2)/1*(-18)/12. Suppose 0 = o + o - 2*k - 6, -n*o - k = -1. Suppose j - 11 = -o. What is the tens digit of j? 1 Let y = 216 - 215. What is the units digit of y? 1 Let l(b) = -6*b + 5. Suppose 4*a = -h + 13, -3*a + 3*h - 11 = -8*a. Suppose a = -2*i + i. What is the tens digit of l(i)? 2 Let n(x) = 8*x - 9. Let h be n(-8). What is the units digit of (-12)/6 + (0 - h)? 1 Let y = 50 + -52. What is the tens digit of 48/(-21) - y - 900/(-14)? 6 Let c be (1020/(-36))/((-1)/3). Suppose c = 2*v - 37. What is the tens digit of v? 6 Let t(c) = 0*c + 2*c**2 + 2*c**2 + 1 + 1 - 3*c. What is the tens digit of t(4)? 5 Let i be -1 + 5*(11 + -4). What is the units digit of (-2)/(-3) + i/3? 2 Suppose -56*g = -61*g + l + 1946, -2*g - 5*l + 800 = 0. What is the hundreds digit of g? 3 Let s(l) = 2*l**3 - l**2 - 10*l - 4. Let h be s(6). Suppose 0 = m - 3*m - 5*w + 160, -4*w = 4*m - h. What is the tens digit of m? 8 Let b(v) = -6*v**2 - 13*v + 25. Let z be b(6). Let w = -178 - z. What is the tens digit of w? 9 Let a(k) = 3*k. Let p be a(-4). What is the units digit of ((-4)/p)/((-1)/(-165))? 5 Let z(a) = -4*a**2 - a + 7. Let q be z(0). Suppose q*p - 114 = 180. What is the tens digit of p? 4 Suppose 0 = 5*d - 5*c - 30, -10 = -5*d - 5*c - 30. Let l = -4 - -4. What is the tens digit of 14 + 2 - (l - d)? 1 Let v(g) be the third derivative of 3*g**4/8 - 19*g**3/6 + 10*g**2. What is the hundreds digit of v(20)? 1 Let p = 77 - 75. Suppose -4*b + 155 = 3*n, -28 = -p*b + 5*n + 69. What is the units digit of b? 1 Let m = -404 - -778. Suppose 18*i = 7*i + m. What is the tens digit of i? 3 What is the tens digit of 4*(-10)/(-140) + 6879/7? 8 Suppose 11*b = 15*b - 888. Suppose -u + 7*a - 2*a + b = 0, -514 = -2*u - 4*a. What is the units digit of u? 7 What is the tens digit of (0 + 1 + -476)*8/(-20)? 9 Let v(t) = -t**3 - t**2 + 3*t - 4. Let l be v(-3). Suppose 0 = g - l*g - 96. Let f = 46 + g. What is the tens digit of f? 2 Suppose 5*t - 9 = 2*v - 46, 5*t + 3*v = -32. Let d = t + 55. What is the tens digit of d? 4 Suppose -f = 3*h - 30, 5*h - 2*h = -2*f + 30. What is the units digit of 394/h + (-6)/15? 9 Let j(g) = -15 - 6*g + 22*g - 9*g. What is the tens digit of j(9)? 4 Let o(n) = 31*n**2. Let s be o(-1). Suppose 0 = v + 4*u + 1, 4*v - u - 16 = s. Suppose 0 = 3*l + 2*l - j - 125, -l + 3*j = -v. What is the units digit of l? 6 Let k = 13 - 26. Let j = 6 + k. Let x = j - -12. What is the units digit of x? 5 Let n(b) = 10*b**2 + 10*b**2 - b + 2 - 4*b**2. What is the units digit of n(2)? 4 Let q = 3686 + -1178. What is the tens digit of q? 0 Suppose 4*c - 4476 = -2*k - 80, 0 = 3*c + 5*k - 3304. What is the units digit of c? 8 Suppose 5*o = o + 16. Suppose o*a + i - 314 = 542, 5*i = 4*a - 856. What is the hundreds digit of a? 2 Let l(d) = d**3 - 5*d**2 - 8*d + 10. Let t be l(7). Suppose -5*b + 268 = 4*c + 10, -c + t = -5*b. What is the units digit of c? 2 Let o = 52 + -72. Let b = o - -63. What is the tens digit of b? 4 Let w(u) = u**2 - 1. Let k(v) = -57*v**2 + v + 6. Let s(y) = -k(y) - 5*w(y). What is the units digit of s(-1)? 2 Let y(v) = 2*v + 36. Suppose -8 = -2*l, -4*l = 3*h - l - 36. Let b = 8 - h. What is the units digit of y(b)? 6 Let h = 1400 + -943. What is the tens digit of h? 5 Suppose 0 = -l + 5*d + 17, 3 = -5*d - 2. Let g(h) = -3*h + 0*h - l - 4*h. What is the units digit of g(-6)? 0 Let t(l) = 2*l**3 + l - 6. Let r be t(3). What is the units digit of 221/r*24/2? 2 Suppose -4*v + 3111 = 5*b, 32*b - 34*b - 1542 = -2*v. What is the tens digit of v? 7 Let k(c) = 9*c**2 + 13*c - 58. What is the tens digit of k(8)? 2 Let a = -368 + 2241. What is the units digit of a? 3 Let v(g) = -2*g**2 + 24*g - 17. Let z be v(11). Suppose 0*k - n = -4*k + 350, -z*k - 3*n + 446 = 0. What is the tens digit of k? 8 Suppose 3*y = -5*p - 74 - 129, 3*p = 4*y + 319. What is the tens digit of -5 - y/16 - (-3435)/12? 8 Suppose -8*n = -10*n + 170. Suppose -b - 5*o = -69, -2*b = -5*o - 38 - n. What is the units digit of b? 4 Let y(o) = -o + 10. Let r be y(8). Suppose 5*h - 13 = r. Suppose -66 = -h*p + 15. What is the units digit of p? 7 Suppose -160 = 5*h - 545. What is the units digit of h? 7 Suppose -2*v = -2*c + 8 - 2, v + c = 7. Suppose 2*d = 0, 2*a - 6 = v*d + 3*d. What is the units digit of a? 3 Suppose 0 = -t - 1 + 6. Suppose 5*h + 35 = 3*w + 2*w, -t*h + 1 = -2*w. What is the tens digit of (-324)/(-8)*8/w? 2 Suppose 63 = 5*j + 4*j. What is the tens digit of (4 - j)/(3/(-19))? 1 Suppose 444 = 3*x - 5*k, -86 = 3*x - 4*k - 533. Suppose 121 = w - x. What is the hundreds digit of w? 2 Suppose 4*l - 240 = -2*l. Suppose 48*v - 50*v = -l. What is the units digit of v? 0 Let m be 10/45 + (-68)/(-18). Let c = m - -1. Suppose 4*p + 21 = c*p. What is the units digit of p? 1 Suppose -320 = -2*f + 3*o, -8*f + 4*f + 680 = 4*o. What is the tens digit of f? 6 Let f(o) = o - 2. Let n be f(12). Suppose 0 = -n*a - 13 + 463. What is the units digit of a? 5 Suppose -3*y - 125 = 5*i + 2*y, i - 2*y = -10. Let k be (-3)/((-57)/i + -3). What is the tens digit of (56/5)/(4/k)? 5 Let w(p) = -p**2 - 132*p + 159. What is the hundreds digit of w(-58)? 4 Suppose -5*y + 677 = 5*l - 1543, -2*y = -3*l - 913. What is the hundreds digit of y? 4 Let p(x) = -23*x**3 + 4*x**2 + 4*x + 2. Let k be 16/120 - (-32)/(-15). What is the hundreds digit of p(k)? 1 Let b = 1540 + -585. What is the tens digit of b? 5 Let i = -405 - -787. Suppose 11*l - 608 = i. What is the tens digit of l? 9 Let s(m) = -m**3 + 6*m**2 - 2*m - 7. Let n be s(4). Suppose 4*u + 30 = 5*o, 17 = -4*o - 4*u + 77. Let y = n - o. What is the units digit of y? 7 Let r be (-595)/(-136) - (-3)/(-8). Suppose -v = -r*y - y - 88, 2*y = -2*v + 152. What is the tens digit of v? 7 Let d(g) = 4*g - 7. Let i(n) = n. Let o(p) = 3*d(p) + 15*i(p). What is the hundreds digit of o(6)? 1 Let l(s) = -2*s + 63. Let o(m) = m - 21. Let j(c) = 4*l(c) + 11*o(c). What is the tens digit of j(14)? 6 What is the units digit of 4 - (40/50)/(2/(-950))? 4 Let i(o) = 18*o**2 + 5*o**2 - 7*o**2 + 5 + 4*o + 4. What is the hundreds digit of i(-3)? 1 Let z(c) = 9*c**2 - 22*c**2 + 14*c**2 - 4 + 12*c. Let a be z(-11). What is the units digit of (20/(-6))/(a/90)? 0 Suppose 2 = 4*w - 2. Let i = 75 + w. What is the units digit of i? 6 Let f = 3204 + 580. What is the thousands digit of f? 3 Suppose 4*v + 5*c = 644 + 1249, -c - 1396 = -3*v. What is the tens digit of v? 6 Let z(o) = o**2 - 15*o - 13. Let p be z(17). Let y = 37 + p. What is the units digit of y? 8 Suppose 11 = -4*q - 77. Let l = 13 - q. Suppose l = 6*n - n. What is the units digit of n? 7 Let x = 23 - -11. Let a = x + 71. What is the hundreds digit of a? 1 Let g(x) be the third derivative of x**5/30 - x**4/6 - x**3/3 + 3*x**2. Let d be g(4). Suppose 2*i = 10 + d. What is the tens digit of i? 1 Suppose 2*m = -m + d + 7, d - 7 = -4*m. Suppose 3*o - 1053 = -3*i - m*i, -i - 2*o = -212. What is the tens digit of i? 1 Let c(u) = u**2 - 4*u - 5. Let b be 2/11 + (-6)/33. Suppose b = 7*v + 6 + 22. What is the units digit of c(v)? 7 Let h be -2*(40/4 + 1). Let y = -18 - h. Suppose 0 = -y*c + a + 59, 4*c - 2*a + 7*a = 65. What is the units digit of c? 5 Let m = -74 + 165. Suppose 3*q - m = -2*x, 2*x - 3*q - 2*q - 131 = 0. Suppose 14 = -3*z + x. What is the tens digit of z? 1 Let y(j) = -j - 7. Let w be y(-6). Let i = w - -4. Suppose -2*d = 5*t - 4*d - 60, 27 = 3*t - i*d. What is the units digit of t? 4 Suppose 3*m - 10 - 2 = 0. Let p(i) = 2*i**2 - 3*i + 9. Let t(k) = 2*k**2 - 2*k + 8. Let v(h) = m*t(h) - 3*p(h). What is the units digit of v(-4)? 3 Let x(q) = -q**3 + 11*q**2 + 13. Let a be x(11). Let k = a + -7. Suppose -2*s + k = -6. What is the units digit of s? 6 Let v(t) be the second derivative of t**4/4 - t**3/2 + t**2 - 13*t. What is the tens
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 862 is divided by 48? 46 Calculate the remainder when 5772 is divided by 77. 74 Calculate the remainder when 414 is divided by 42. 36 What is the remainder when 65 is divided by 7? 2 Calculate the remainder when 39 is divided by 10. 9 Calculate the remainder when 71 is divided by 10. 1 Calculate the remainder when 2019 is divided by 672. 3 Calculate the remainder when 63 is divided by 24. 15 What is the remainder when 1158 is divided by 572? 14 What is the remainder when 611 is divided by 41? 37 What is the remainder when 244 is divided by 22? 2 Calculate the remainder when 6 is divided by 1. 0 Calculate the remainder when 806 is divided by 45. 41 What is the remainder when 257 is divided by 34? 19 What is the remainder when 193 is divided by 65? 63 Calculate the remainder when 1400 is divided by 54. 50 Calculate the remainder when 914 is divided by 7. 4 What is the remainder when 556 is divided by 130? 36 Calculate the remainder when 117 is divided by 59. 58 What is the remainder when 79 is divided by 21? 16 Calculate the remainder when 726 is divided by 106. 90 What is the remainder when 3933 is divided by 197? 190 What is the remainder when 13 is divided by 4? 1 Calculate the remainder when 3862 is divided by 84. 82 Calculate the remainder when 2705 is divided by 50. 5 Calculate the remainder when 1229 is divided by 16. 13 Calculate the remainder when 498 is divided by 11. 3 What is the remainder when 5914 is divided by 97? 94 What is the remainder when 357 is divided by 95? 72 Calculate the remainder when 12820 is divided by 27. 22 Calculate the remainder when 746 is divided by 44. 42 What is the remainder when 29392 is divided by 23? 21 What is the remainder when 12527 is divided by 27? 26 What is the remainder when 102 is divided by 3? 0 Calculate the remainder when 4038 is divided by 9. 6 Calculate the remainder when 174 is divided by 44. 42 Calculate the remainder when 269 is divided by 55. 49 Calculate the remainder when 28665 is divided by 12. 9 Calculate the remainder when 211 is divided by 40. 11 Calculate the remainder when 11 is divided by 5. 1 What is the remainder when 256 is divided by 31? 8 Calculate the remainder when 3219 is divided by 18. 15 What is the remainder when 122 is divided by 18? 14 Calculate the remainder when 289 is divided by 153. 136 What is the remainder when 55 is divided by 31? 24 Calculate the remainder when 296 is divided by 10. 6 Calculate the remainder when 1014 is divided by 126. 6 What is the remainder when 266 is divided by 90? 86 Calculate the remainder when 526 is divided by 16. 14 What is the remainder when 1867 is divided by 72? 67 What is the remainder when 571 is divided by 154? 109 Calculate the remainder when 95 is divided by 84. 11 What is the remainder when 214 is divided by 79? 56 What is the remainder when 859 is divided by 425? 9 What is the remainder when 384 is divided by 210? 174 Calculate the remainder when 278 is divided by 70. 68 What is the remainder when 1345 is divided by 199? 151 Calculate the remainder when 476 is divided by 107. 48 What is the remainder when 318 is divided by 158? 2 Calculate the remainder when 747 is divided by 190. 177 What is the remainder when 84 is divided by 32? 20 What is the remainder when 142 is divided by 21? 16 Calculate the remainder when 62 is divided by 20. 2 Calculate the remainder when 6777 is divided by 33. 12 Calculate the remainder when 2315 is divided by 14. 5 What is the remainder when 692 is divided by 38? 8 Calculate the remainder when 159 is divided by 54. 51 What is the remainder when 4677 is divided by 1169? 1 What is the remainder when 170 is divided by 9? 8 Calculate the remainder when 1263 is divided by 16. 15 Calculate the remainder when 220 is divided by 142. 78 What is the remainder when 95871 is divided by 38? 35 What is the remainder when 259 is divided by 162? 97 What is the remainder when 220 is divided by 92? 36 What is the remainder when 2969 is divided by 35? 29 What is the remainder when 87 is divided by 31? 25 What is the remainder when 93 is divided by 27? 12 Calculate the remainder when 713 is divided by 21. 20 What is the remainder when 132 is divided by 23? 17 What is the remainder when 447 is divided by 42? 27 What is the remainder when 90 is divided by 33? 24 What is the remainder when 2511 is divided by 16? 15 Calculate the remainder when 50 is divided by 21. 8 Calculate the remainder when 35755 is divided by 261. 259 Calculate the remainder when 304 is divided by 11. 7 What is the remainder when 15678 is divided by 5225? 3 What is the remainder when 38 is divided by 20? 18 What is the remainder when 166 is divided by 45? 31 What is the remainder when 36477 is divided by 285? 282 Calculate the remainder when 58 is divided by 41. 17 What is the remainder when 60 is divided by 26? 8 What is the remainder when 518 is divided by 210? 98 What is the remainder when 2279 is divided by 15? 14 What is the remainder when 505 is divided by 58? 41 What is the remainder when 597 is divided by 25? 22 What is the remainder when 280 is divided by 130? 20 What is the remainder when 150 is divided by 89? 61 What is the remainder when 713 is divided by 55? 53 Calculate the remainder when 1033 is divided by 10. 3 Calculate the remainder when 1420 is divided by 52. 16 Calculate the remainder when 95 is divided by 14. 11 What is the remainder when 356 is divided by 30? 26 What is the remainder when 219 is divided by 23? 12 Calculate the remainder when 100 is divided by 23. 8 What is the remainder when 738 is divided by 731? 7 What is the remainder when 63 is divided by 47? 16 What is the remainder when 14191 is divided by 84? 79 Calculate the remainder when 2956 is divided by 23. 12 What is the remainder when 449 is divided by 25? 24 What is the remainder when 58 is divided by 16? 10 Calculate the remainder when 297 is divided by 70. 17 Calculate the remainder when 124 is divided by 42. 40 Calculate the remainder when 145 is divided by 131. 14 What is the remainder when 80 is divided by 2? 0 Calculate the remainder when 206 is divided by 90. 26 What is the remainder when 644 is divided by 6? 2 Calculate the remainder when 127 is divided by 6. 1 Calculate the remainder when 33 is divided by 28. 5 What is the remainder when 9682 is divided by 255? 247 Calculate the remainder when 1416 is divided by 94. 6 What is the remainder when 348 is divided by 35? 33 What is the remainder when 107 is divided by 26? 3 What is the remainder when 29272 is divided by 51? 49 What is the remainder when 1292 is divided by 21? 11 What is the remainder when 102 is divided by 77? 25 What is the remainder when 297 is divided by 7? 3 What is the remainder when 2090 is divided by 40? 10 What is the remainder when 1233 is divided by 408? 9 Calculate the remainder when 494 is divided by 99. 98 Calculate the remainder when 931 is divided by 450. 31 What is the remainder when 1105 is divided by 189? 160 What is the remainder when 1478 is divided by 25? 3 Calculate the remainder when 27300 is divided by 57. 54 What is the remainder when 28 is divided by 6? 4 Calculate the remainder when 9495 is divided by 3164. 3 What is the remainder when 80 is divided by 2? 0 What is the remainder when 361 is divided by 90? 1 Calculate the remainder when 169 is divided by 20. 9 Calculate the remainder when 12151 is divided by 118. 115 Calculate the remainder when 910 is divided by 317. 276 Calculate the remainder when 1660 is divided by 13. 9 Calculate the remainder when 109 is divided by 12. 1 What is the remainder when 110 is divided by 34? 8 Calculate the remainder when 430 is divided by 9. 7 Calculate the remainder when 593 is divided by 5. 3 What is the remainder when 2272 is divided by 565? 12 Calculate the remainder when 28671 is divided by 107. 102 What is the remainder when 278 is divided by 16? 6 What is the remainder when 51 is divided by 10? 1 Calculate the remainder when 503 is divided by 56. 55 What is the remainder when 18 is divided by 4? 2 Calculate the remainder when 213 is divided by 30. 3 Calculate the remainder when 112 is divided by 30. 22 Calculate the remainder when 1404 is divided by 354. 342 What is the remainder when 214
{ "pile_set_name": "DM Mathematics" }
est integer? 4 What is the square root of 74380 to the nearest integer? 273 What is the third root of 7505683 to the nearest integer? 196 What is the cube root of 15937766 to the nearest integer? 252 What is 681187 to the power of 1/2, to the nearest integer? 825 What is the cube root of 15593328 to the nearest integer? 250 What is 11912698 to the power of 1/3, to the nearest integer? 228 What is 5587853 to the power of 1/3, to the nearest integer? 177 What is the sixth root of 986306 to the nearest integer? 10 What is 13386679 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 496966 to the nearest integer? 9 What is the square root of 3335327 to the nearest integer? 1826 What is 1550499 to the power of 1/6, to the nearest integer? 11 What is 10414526 to the power of 1/5, to the nearest integer? 25 What is 15222787 to the power of 1/2, to the nearest integer? 3902 What is the third root of 276163 to the nearest integer? 65 What is the third root of 16947152 to the nearest integer? 257 What is the cube root of 48793 to the nearest integer? 37 What is 2133039 to the power of 1/2, to the nearest integer? 1460 What is 106250 to the power of 1/3, to the nearest integer? 47 What is the cube root of 59062 to the nearest integer? 39 What is 3142959 to the power of 1/3, to the nearest integer? 146 What is the tenth root of 1994485 to the nearest integer? 4 What is 292269 to the power of 1/2, to the nearest integer? 541 What is the seventh root of 7703404 to the nearest integer? 10 What is 4792033 to the power of 1/3, to the nearest integer? 169 What is the cube root of 5395554 to the nearest integer? 175 What is 22290 to the power of 1/3, to the nearest integer? 28 What is the square root of 2450964 to the nearest integer? 1566 What is the square root of 652296 to the nearest integer? 808 What is 385266 to the power of 1/6, to the nearest integer? 9 What is the third root of 228592 to the nearest integer? 61 What is 23598044 to the power of 1/3, to the nearest integer? 287 What is 3679802 to the power of 1/8, to the nearest integer? 7 What is the square root of 7207891 to the nearest integer? 2685 What is 3324688 to the power of 1/2, to the nearest integer? 1823 What is the tenth root of 495416 to the nearest integer? 4 What is the third root of 344003 to the nearest integer? 70 What is the square root of 4140764 to the nearest integer? 2035 What is the square root of 2993666 to the nearest integer? 1730 What is the eighth root of 1968359 to the nearest integer? 6 What is 362540 to the power of 1/2, to the nearest integer? 602 What is the ninth root of 440778 to the nearest integer? 4 What is 428915 to the power of 1/2, to the nearest integer? 655 What is the sixth root of 2752379 to the nearest integer? 12 What is 323488 to the power of 1/2, to the nearest integer? 569 What is 2426875 to the power of 1/4, to the nearest integer? 39 What is 3891405 to the power of 1/10, to the nearest integer? 5 What is the square root of 1193483 to the nearest integer? 1092 What is 264530 to the power of 1/7, to the nearest integer? 6 What is the square root of 63517 to the nearest integer? 252 What is the cube root of 182107 to the nearest integer? 57 What is the fourth root of 10279258 to the nearest integer? 57 What is the square root of 1097440 to the nearest integer? 1048 What is the eighth root of 1738506 to the nearest integer? 6 What is the square root of 284452 to the nearest integer? 533 What is the seventh root of 88474 to the nearest integer? 5 What is the third root of 27368 to the nearest integer? 30 What is the third root of 1069605 to the nearest integer? 102 What is the cube root of 815176 to the nearest integer? 93 What is 188958 to the power of 1/2, to the nearest integer? 435 What is the fifth root of 3376245 to the nearest integer? 20 What is 605659 to the power of 1/9, to the nearest integer? 4 What is 447598 to the power of 1/2, to the nearest integer? 669 What is 193251 to the power of 1/2, to the nearest integer? 440 What is 2246440 to the power of 1/2, to the nearest integer? 1499 What is the sixth root of 229155 to the nearest integer? 8 What is the square root of 14127027 to the nearest integer? 3759 What is 255578 to the power of 1/2, to the nearest integer? 506 What is the square root of 470464 to the nearest integer? 686 What is 1854480 to the power of 1/8, to the nearest integer? 6 What is the square root of 29358260 to the nearest integer? 5418 What is 33202731 to the power of 1/9, to the nearest integer? 7 What is the square root of 1386572 to the nearest integer? 1178 What is 1956630 to the power of 1/3, to the nearest integer? 125 What is the fifth root of 549710 to the nearest integer? 14 What is the square root of 75373 to the nearest integer? 275 What is 161257 to the power of 1/2, to the nearest integer? 402 What is 13699223 to the power of 1/3, to the nearest integer? 239 What is 191300 to the power of 1/2, to the nearest integer? 437 What is 2228547 to the power of 1/7, to the nearest integer? 8 What is the third root of 5981590 to the nearest integer? 182 What is 17986291 to the power of 1/5, to the nearest integer? 28 What is the cube root of 374054 to the nearest integer? 72 What is 120327 to the power of 1/3, to the nearest integer? 49 What is 10556200 to the power of 1/2, to the nearest integer? 3249 What is 2752374 to the power of 1/3, to the nearest integer? 140 What is 293208 to the power of 1/5, to the nearest integer? 12 What is the third root of 379212 to the nearest integer? 72 What is the fifth root of 135614 to the nearest integer? 11 What is the square root of 11760477 to the nearest integer? 3429 What is the third root of 237675 to the nearest integer? 62 What is the third root of 4154556 to the nearest integer? 161 What is the square root of 21214562 to the nearest integer? 4606 What is 1299423 to the power of 1/8, to the nearest integer? 6 What is the third root of 208840 to the nearest integer? 59 What is 24801725 to the power of 1/7, to the nearest integer? 11 What is 70466 to the power of 1/2, to the nearest integer? 265 What is 26843096 to the power of 1/3, to the nearest integer? 299 What is 1673658 to the power of 1/2, to the nearest integer? 1294 What is the seventh root of 6868722 to the nearest integer? 9 What is 12740737 to the power of 1/3, to the nearest integer? 234 What is the cube root of 302279 to the nearest integer? 67 What is 1735860 to the power of 1/9, to the nearest integer? 5 What is 3383349 to the power of 1/5, to the nearest integer? 20 What is the square root of 5738599 to the nearest integer? 2396 What is the third root of 37645 to the nearest integer? 34 What is 76840 to the power of 1/4, to the nearest integer? 17 What is the square root of 17892200 to the nearest integer? 4230 What is the ninth root of 9721748 to the nearest integer? 6 What is 97357 to the power of 1/2, to the nearest integer? 312 What is 221856 to the power of 1/4, to the nearest integer? 22 What is 1841577 to the power of 1/2, to the nearest integer? 1357 What is the square root of 12898368 to the nearest integer? 3591 What is the eighth root of 403418 to the nearest integer? 5 What is the third root of 558612 to the nearest integer? 82 What is the seventh root of 280147 to the nearest integer? 6 What is the square root of 1334910 to the nearest integer? 1155 What is the sixth root of 1230842 to the nearest integer? 10 What is 1651595 to the power of 1/2, to the nearest integer? 1285 What is the ninth root of 20275 to the nearest integer? 3 What is the third root of 15030581 to the nearest integer? 247 What is the square root of 652744 to the nearest integer? 808 What is the square root of 148002 to the nearest integer? 385 What is 270609 to the power of 1/9, to the nearest integer? 4 What is the cube root of 27481581 to the nearest integer? 302 What is 2768438 to the power of 1/4, to the nearest integer? 41 What is 120483 to the power of 1/2, to the nearest integer? 347 What is the fourth root of 947284 to the nearest integer? 31 What is the square root of 301968 to the nearest integer? 550 What is 35244 to the power of 1/2, to the nearest integer? 188 What is the third root of 3977
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -w**5/30 + 3*w**2/2 - 2. Let n(q) be the second derivative of b(q). Let c(k) = -k**2. Determine c(n(a)). -4*a**4 Let t(d) = 5*d. Let w(p) = -9*p**2 + 2*p - 2. Let h(s) = 19*s**2 - 5*s + 5. Let z(c) = 2*h(c) + 5*w(c). Give z(t(v)). -175*v**2 Let c(r) = -10*r**2 - 1. Let l(t) = -5*t**2 + 4*t + 8. Let k(i) = -6*i**2 + 5*i + 10. Let f(b) = 4*k(b) - 5*l(b). What is f(c(s))? 100*s**4 + 20*s**2 + 1 Let t(c) = c**2. Let l(d) = -3*d + 15. Let n be l(0). Let r(k) = 7*k - n*k + 10*k. Determine t(r(w)). 4*w**2 Let z(p) = -2*p**2 - 7*p. Let f(u) = -39*u. Calculate f(z(n)). 78*n**2 + 273*n Let b(p) = -2*p. Let t(x) = 5 - 5 - x + 10*x. Let m(v) be the third derivative of -v**4/24 + v**2. Let w(u) = -33*m(u) - 4*t(u). Calculate w(b(n)). 6*n Let s(x) = -3*x**2 + 16*x**2 - 9*x**2 - 5*x**2. Let y(v) = -8*v**2 - 1. Give y(s(z)). -8*z**4 - 1 Let r(y) be the third derivative of 0 + 2*y**2 + 5/24*y**4 + 0*y + 0*y**3. Let x(d) be the third derivative of -d**5/60 + 3*d**2. Calculate r(x(t)). -5*t**2 Let b(g) = 2*g. Let s(l) = -56*l - 2. Determine s(b(n)). -112*n - 2 Let h(n) = 6*n - 16*n + 6*n + 5*n. Let z(p) = 4*p - 4*p + 7*p. Give h(z(b)). 7*b Let z(q) = q - 1. Let t(c) = 8*c - 6. Let j(n) = t(n) - 6*z(n). Let v(m) = m**2 + 6*m - 5. Let s be v(-7). Let l(y) = 0*y + s*y - 3*y. Give l(j(g)). -2*g Let v(r) = 6*r**2. Let n(k) = -31*k**2. What is n(v(p))? -1116*p**4 Let s(n) = -794*n**2. Let p(r) = -r. Give p(s(o)). 794*o**2 Let f(h) = 3*h - 2 - h + 2. Let r(x) = 30*x. Determine f(r(s)). 60*s Let p(q) = -44*q - 9. Let d(l) = 11*l + 2. Let g(i) = -18*d(i) - 4*p(i). Let o(w) = 2*w**2. What is g(o(u))? -44*u**2 Let l(a) = 2*a. Let m(x) = -2*x - 14094. Calculate m(l(v)). -4*v - 14094 Let b(z) = -5*z + 19. Let n(a) = -2*a**2. Calculate n(b(r)). -50*r**2 + 380*r - 722 Let m(p) be the third derivative of -p**5/30 - p**2. Let r(h) be the third derivative of 0*h**3 + 0*h + 0*h**4 - 7/60*h**5 + 0 - 5*h**2. Determine m(r(u)). -98*u**4 Let v(b) = -542*b**2. Let k(i) = i**2. Determine v(k(z)). -542*z**4 Let w(x) = -2*x**2. Let p(r) = -r - 51. What is p(w(k))? 2*k**2 - 51 Let l(v) = 7*v**2 + 4*v. Let n(m) = 13*m**2 + 7*m. Let y(s) = -7*l(s) + 4*n(s). Let u(c) = -c**2 + 3*c**2 - c**2. Determine u(y(j)). 9*j**4 Let n(p) be the second derivative of p**4/4 + 5*p. Let w(c) = -78 + 5*c + 78. Give w(n(q)). 15*q**2 Let l(j) = 3*j**2. Let k(u) = 115*u - 2. Give k(l(n)). 345*n**2 - 2 Let k(m) = 10*m + 13*m + 10*m - 35*m. Let o(c) = 0*c - c - 2*c. Determine k(o(g)). 6*g Let t(f) = -2*f. Let v(p) = -p + 10. Let l be v(8). Let s(w) = -53*w**2 - w + 49*w**l + w. What is t(s(y))? 8*y**2 Let a(y) = 10*y + 5. Let n(v) = 6*v + 2. Let j(t) = 4*a(t) - 10*n(t). Let s(o) = 2*o**2. Give s(j(h)). 800*h**2 Let d(z) be the third derivative of -z**4/12 + 12*z**2. Let v(c) = -32*c. What is v(d(t))? 64*t Let g(m) = 1408*m + 2. Let d(k) = 4*k**2. Give d(g(j)). 7929856*j**2 + 22528*j + 16 Let k(f) = 3*f. Suppose -2*j + 9 = -13. Let l(z) = z + 2. Let b(q) = -6*q - 11. Let w(n) = j*l(n) + 2*b(n). Determine k(w(g)). -3*g Let d(n) = -4*n - 3 + n + 5*n + 2*n. Let y(h) = h - 1. Let t(b) = d(b) - 3*y(b). Let v(j) be the first derivative of 2*j**2 - 2. What is v(t(u))? 4*u Let y(m) = -4*m - 5*m + 0*m + 2*m. Let s(g) = -g - 1. Let d(w) = 2*w + 3. Let k(c) = -2*d(c) - 6*s(c). Give k(y(i)). -14*i Let s(d) = -3*d. Let b(h) = -3*h + 16 - 16 + 12*h. What is s(b(i))? -27*i Let s(t) = -2*t**2. Suppose -2*w + q - 6 = 3*w, 0 = 3*w - 4*q - 10. Let r be 8/(-3)*3/w. Let i(v) = -r*v**2 - v**2 + 0*v**2. Give i(s(o)). -20*o**4 Let q(a) = -8*a**2. Let z(d) be the second derivative of 0*d**2 + 0 + 8*d + 1/2*d**3. Calculate q(z(l)). -72*l**2 Let a = -6 - -10. Suppose 4 = -n, 3*z - a*z = 3*n + 12. Let u(f) = -f + f - f + z. Let b(g) = -2*g**2. What is u(b(m))? 2*m**2 Let p(h) be the first derivative of 1/6*h**3 + 0*h**2 + 2*h - 2. Let m(j) be the first derivative of p(j). Let t(c) = 2*c. Determine m(t(f)). 2*f Let g(h) = 75*h**2 - h. Let o(f) = f**2. What is o(g(t))? 5625*t**4 - 150*t**3 + t**2 Let o(a) = 2*a. Let m(j) = 4*j**2 - 18. Calculate o(m(p)). 8*p**2 - 36 Let v(o) = o - 104. Let l(k) = -k**2. Calculate l(v(d)). -d**2 + 208*d - 10816 Let d(s) = -5*s**2. Let m(t) = -17*t**2 + 5. Give d(m(c)). -1445*c**4 + 850*c**2 - 125 Let c(z) = -2*z - 4. Let m be c(-4). Let q(n) = -2*n - 4*n + m*n. Let k(v) = 2*v. What is k(q(y))? -4*y Let p(c) = 5*c**2 + 6*c. Let n(q) = 20*q**2 + 25*q. Let m(j) = -6*n(j) + 25*p(j). Let z(s) = 6*s**2. Give z(m(f)). 150*f**4 Let j(u) = -2*u**2. Let l(s) = -2*s**2 - 5. Determine l(j(w)). -8*w**4 - 5 Let g(v) = -2*v. Let y(f) = 7*f - 2. Calculate g(y(m)). -14*m + 4 Let l(m) = -2*m. Let t(o) = -o - 1. Calculate l(t(d)). 2*d + 2 Let p(y) = -130*y**2. Let a(v) = -3*v. Give p(a(u)). -1170*u**2 Let l(v) = 16*v. Let r(o) = -13*o. Determine l(r(p)). -208*p Let m(o) = 10*o**2 - 7*o + 7. Let s(g) = 7*g**2 - 5*g + 5. Let p(h) = 5*m(h) - 7*s(h). Let r(f) = -6*f. Determine p(r(y)). 36*y**2 Let q(n) = -18*n**2 + 5*n + 5. Let x(w) = 261*w**2 - 72*w - 72. Let t(d) = -72*q(d) - 5*x(d). Let u(c) = -4*c. Give t(u(v)). -144*v**2 Let i(o) = -2*o. Let a(z) = 8*z**2 - 2*z - 30. Give a(i(q)). 32*q**2 + 4*q - 30 Let t(l) = -l. Let y(w) = w**2 - w - 2. Let u be y(2). Let f(m) be the third derivative of -1/30*m**5 + 0*m**3 + u*m + 0 + 2*m**2 + 0*m**4. Calculate f(t(r)). -2*r**2 Let t(v) = v**2. Let k(w) be the third derivative of -w**6/40 - w**3/3 - 4*w**2. Let z(q) be the first derivative of k(q). Determine z(t(c)). -9*c**4 Let a(d) = 2*d. Let x(p) = 982*p. Determine x(a(g)). 1964*g Let q(d) = -3*d + 1. Let o(x) be the second derivative of x**4/12 + 21*x. Calculate o(q(a)). 9*a**2 - 6*a + 1 Let k(r) = 21 + 4*r - 19 - 2. Let c(f) = -f - 1. Let q(a) be the third derivative of a**4/8 + a**3/3 + a**2. Let d(i) = 6*c(i) + 3*q(i). What is k(d(s))? 12*s Let g(y) = 15*y. Let n(x) = -34*x**2 + 2*x. Calculate g(n(d)). -510*d**2 + 30*d Let z(b) = 140*b**2 - 4. Let g(h) = 6*h. What is z(g(v))? 5040*v**2 - 4 Let p = -1 + 1. Let g(z) = -4*z**2 + 6*z**2 + p*z**2. Let y(o) = -o**2 + o + 1. Let h(a) = 6*a**2 - 5*a - 5. Let t(v) = h(v) + 5*y(v). Give t(g(f)). 4*f**4 Let n(j) = -4*j. Let w(k) = 366*k**2 - 355*k**2 - 3 + 3. What is n(w(b))? -44*b**2 Let r(v) = 2*v**2 + 34. Let b(q) = -q**2. Calculate r(b(j)). 2*j**4 + 34 Let j(f) = 2*f**2. Let a(w) = -2*w - 48. What is j(a(g))? 8*g**2 + 384*g + 4608 Let d(a) = 16*a. Let w(x) = 7*x**2. Calculate w(d(u)). 1792*u**2 Let f(t) = 3*t. Let v(h) = -h**3 - 4*h**2 - 3*h - 1. Let g be v(-2). Let a = g - -5. Let w(s) = -a*s + s + 0*s. What is f(w(k))? -3*k Let r(t) = t**2. Let w(j) be the second derivative of 5*j**4/6 - 10*j. Let v(p) = -p**2. Let i(u) = -55*v(u) - 6*w(u). Calculate r(i(a)). 25*a**4 Let a(s) be the first derivative of s**2 + 1. Let g(f) = -15*f. Give g(a(c)). -30*c Let k(g) = 5*g - 4. Let x(v) = -11*v + 9. Let o(r) = 9*k(r) + 4*x(r). Let l(t) = -35*t. Determine o(l(a)). -35*a Let p(y) = 8*y**2. Let w(m) = -4*m. Determine p(w(v)). 128*v**2 Let m(r) = -5*r**2 + 4*r. Let u(d) = 5*d + 5 - 6*d**2 - 3 - 2. Let t(q) = -5*m(q) + 4*u(q). Let x(o) = 2*o. Give x(t(a)). 2*a**2 Let t(i) = 5*i. Let f(c) = 113*c**2 - 2. Give f(t(k)). 2825*k**2 - 2 Let m(q) = q. Let r(a) = 2*a. Let x(o) = 11*m(o) - 6*r(o). Let s(y) = 7*y. Give s(x(c)). -7*c Let t(f) = -7*f**2. Let y(m) = 2*m**2 + 7*m. Let l(k) = -2*k**2 - 6*k. Let d(g) = 7*l(g) + 6*y(g). Determine t(d(n)). -28*n**4 Let b(n) be the second derivative of n**4/4 - 3*n. Let f(q) = -2*q. Give f(b(u)). -6*u**2 Let l(x) = -x. Let f(m) = 4403*m**2. Determine l(f(i)). -4403*i**2 Let b(q) = 5*q. Let d(a) = -8*a**2 + 10. Let x(l) be the second derivative of -l**4/12 + l**2/2 + 3*l. Let n(c) = -d(c) + 10*x(c). Calculate b(n(g)). -10*g**2 Let n(o) be the third derivative of o**7/504 + o**4/6 + 3*o**2. Let d(t) be the second derivative of n(t). Let a(l) = l**2. Determine d(a(p)). 5*p**4 Let r(x) = 15*x**2. Let c(l) = -l**2. Let q(d) = -d**2. Let a(p) = -2*c(p) + 3*q(p). Calculate a(r(o)). -225*o**4 Let u(t) = -t**2. Suppose 0*b = -4*b. Let z(m) = 0*m - 3*m + b*m. Determine u(z(i)). -9*i**2 Let s(g) = -10*g. Let b(v) = -v - 74. Give s(b(u)). 10*u + 740 Let q(a) = 10*a**2. Let g(t) = -133*t**2. What is g(q(h))? -13300*h**4 Let d(p) = 1 - 1 + 2*p - p. Let u(k
{ "pile_set_name": "DM Mathematics" }
25*-6 -0.15 9.1 times 0 0 Work out 1 * -159. -159 0.029 times 2.7 0.0783 What is 3 times -6.41? -19.23 Multiply -0.19 and 0.0621. -0.011799 Multiply -11 and -0.12. 1.32 What is the product of 55 and -6.1? -335.5 What is the product of 0.03 and -0.1426? -0.004278 Work out -0.008 * -0.1. 0.0008 Multiply 0.27 and -0.621. -0.16767 What is the product of 3 and 793.7? 2381.1 What is 0.2 times 1.98? 0.396 What is -0.3 times 186.9? -56.07 What is the product of -33 and 49? -1617 Product of 1.7 and -3. -5.1 What is the product of -81 and 6? -486 What is -0.173 times 10? -1.73 Calculate 6.9*-5. -34.5 Calculate 1755*4. 7020 Product of 155 and -0.4. -62 -0.7 * -2.21 1.547 0.5*2120 1060 What is -8 times -30? 240 Work out 0.4 * 48. 19.2 Product of -23 and -0.25. 5.75 What is 0.045 times -0.6? -0.027 -0.01095 * 0.5 -0.005475 -0.4 * 0.1 -0.04 -0.5 times 0.45 -0.225 Work out 0.0713 * 16. 1.1408 2.6*-0.288 -0.7488 Product of 0.43 and -56. -24.08 61.5*0.4 24.6 Calculate 225*-0.1. -22.5 -31 times 104 -3224 -0.54 times -59 31.86 Multiply 666 and -0.02. -13.32 Multiply -0.63 and -0.3. 0.189 0.06 * 0.32 0.0192 3 times 0.0519 0.1557 What is 3.4 times 0.4? 1.36 Product of 0.14 and -8. -1.12 What is the product of 3285 and -3? -9855 Product of 963 and 18. 17334 9 * 0.7 6.3 Work out 0.3 * -0.018. -0.0054 -0.2 times 1.54 -0.308 0.5 * 455 227.5 What is -8 times 1.3? -10.4 -0.4 times 38 -15.2 Work out 233 * 0.1. 23.3 What is the product of 29 and -0.2? -5.8 1517*0.5 758.5 What is the product of 261 and -2? -522 Calculate 223*-1. -223 Product of -0.0698 and -2. 0.1396 2196 * -1 -2196 Product of -0.3 and 71. -21.3 3*-0.34 -1.02 Calculate -153*4. -612 Multiply 0.04 and 0.15. 0.006 Calculate -0.27387*-0.5. 0.136935 Work out 0.4 * 969. 387.6 What is 0.4 times -988? -395.2 Calculate 189*24. 4536 What is the product of 20 and 22? 440 Multiply -28 and 10. -280 -190 times 0.1 -19 Product of 0.034 and -5. -0.17 What is the product of -0.4 and 406? -162.4 Multiply -1.79 and 0.5. -0.895 Work out 43 * 0.07. 3.01 Work out -0.12 * -805. 96.6 Product of 0.05 and 25.15. 1.2575 Multiply -1.1153 and 0.5. -0.55765 Multiply -0.07 and -468. 32.76 Calculate -154*2. -308 Work out 0.3 * -4. -1.2 0.0661 times -1.7 -0.11237 What is -0.1 times 21? -2.1 Product of -0.11 and -172. 18.92 -0.15 * -1.53 0.2295 Work out -24.8 * -0.5. 12.4 What is 0.16 times -2? -0.32 Calculate 0.5*-5319. -2659.5 Work out -364 * -2. 728 What is the product of -0.4 and -0.173? 0.0692 0.1 times 164 16.4 Work out 0.1637 * 4. 0.6548 Calculate 143*1. 143 0.06*15 0.9 Product of 0.4 and 7. 2.8 -0.07 times -2.6 0.182 Calculate -0.5*-6.1. 3.05 -0.3 * 56 -16.8 Work out 0.4 * 2751. 1100.4 -0.04*5 -0.2 Multiply 0.5 and 16. 8 What is the product of 0.2 and 3085? 617 Work out -0.128 * -15. 1.92 Calculate -0.24*-0.13. 0.0312 What is the product of -832 and -0.1? 83.2 -4 times 3 -12 What is -2.4 times 1.8? -4.32 -8.53*5 -42.65 Multiply -0.1 and 8.8. -0.88 0.01 times 334 3.34 -52 times 83 -4316 Multiply -5 and 0.02641. -0.13205 -0.03 times -0.62 0.0186 What is -0.42 times -10? 4.2 164 times -5 -820 -37 times 4.23 -156.51 243*-1 -243 Work out -1 * 2726. -2726 -3*17 -51 What is the product of 3 and 1143? 3429 What is the product of -96 and 0.03? -2.88 Work out -24 * 1214. -29136 Calculate 90*-0.127. -11.43 Work out -76 * 1.3. -98.8 What is 1.5863 times 0.5? 0.79315 0.13 * -16.86 -2.1918 Calculate -1.83*0.5. -0.915 What is 0.96 times 4? 3.84 Product of -0.0694 and -0.4. 0.02776 What is the product of -11 and -15.9? 174.9 2.1 * 4.1 8.61 22 * -4.3 -94.6 -0.003 * 0.17 -0.00051 Product of 0.05 and -573. -28.65 -2*0.04489 -0.08978 -0.7 * -2.028 1.4196 Work out -2549 * -5. 12745 What is the product of -22 and 74? -1628 -29 times -7 203 -0.9*0.008 -0.0072 What is the product of 2.595 and 0.5? 1.2975 -2227 times 8 -17816 What is the product of 0 and -0.14? 0 -1 times -30.76 30.76 8.5 * -8 -68 Calculate -39*0.5. -19.5 -1151 times 2 -2302 Calculate 5013*-5. -25065 What is 2.41 times 0.3? 0.723 -0.2 * -29.3 5.86 Multiply 0.1 and 0.89. 0.089 Work out 0.8627 * -0.1. -0.08627 Product of -0.05 and -0.2. 0.01 4 * 349 1396 1198.3 times -0.3 -359.49 Work out 662 * -5. -3310 Product of 5 and -93. -465 What is the product of 0.2 and -25.2? -5.04 What is 0.0496 times 4? 0.1984 Work out -0.2 * 91.1. -18.22 Calculate 34*1. 34 Product of 0 and -0.041. 0 Calculate -3*-4.3. 12.9 Calculate -5*54. -270 -0.07285 times -0.2 0.01457 Calculate -26*-3.3. 85.8 Calculate -6*-181. 1086 0.9 times -0.4 -0.36 What is 1 times 52? 52 What is the product of -0.0162 and 11? -0.1782 Product of 0.4 and 1.35. 0.54 What is -3 times -0.1141? 0.3423 Work out 7 * 32.2. 225.4 -12*-1.35 16.2 0.1 times 1.351 0.1351 Multiply 0.1 and -38. -3.8 Product of -29779 and -3. 89337 What is the product of -369 and -4? 1476 17 times -106 -1802 5*0.043 0.215 -0.4*169 -67.6 What is the product of -0.3 and 29.3? -8.79 What is -1.3 times -2.7? 3.51 328.9*-5 -1644.5 4907 times 0.08 392.56 What is the product of 0.07 and 2240? 156.8 Calculate -4.458*1. -4.458 What is -13 times 36? -468 Product of 64 and 8.5. 544 Work out 1.1 * 0.32. 0.352 Calculate -39*-0.027. 1.053 Multiply -0.2 and 19. -3.8 Work out -17.65 * 0. 0 Calculate -485*-1.1. 533.5 Work out 5 * 20. 100 Work out -2 * -0.0075. 0.015 What is -8.22 times 1.6? -13.152 Product of 0.2 and -65.3. -13.06 Work out -2 * 593. -1186 0.14 times 2086 292.04 -43.9 times 4 -175.6 What is -0.2309 times 1? -0.2309 18.37*0.4 7.348 What is 0.3 times -43? -12.9 44*142 6248 0.6 times 0.059 0.0354 14.87 times 3 44.61 -55 times -0.1 5.5 -0.2*-0.149 0.0298 What is -0.2 times -10? 2 Product of -0.111 and -0.008. 0.000888 Calculate 1.481*5. 7.405 -0.2 * 28 -5.6 0.01*-1211 -12.11 Calculate 0.37*-34. -12.58 What is -1757 times -1? 1757 Calculate -36*9. -324 Work out -0.4 * -178. 71.2 What is the product of -59 and 0? 0 What is -0.0185 times -0.3? 0.00555 Product of 0.1 and -95. -9.5 -5 times 37.7 -188.5 -0.162 * 0.1 -0.0162 -15 times -1.8 27 Work out 0.3 * 1071. 321.3 Calculate -2*1.031. -2.062 Multiply 0.27 and -0.12. -0.0324 -0.26*-0.5 0.13 Product of 0.002 and -16.3. -0.0326 Work out 6 * -0.237. -1.422 -0.12 * 79 -9.48 What is -0.1 times -7.935? 0.7935 -2 times 7.4 -14.8 Product of -9 and 447. -4023 Work out -0.09 * -7.83. 0.7047 2.3 * 95 218.5 5.22*5 26.1 What is the product of 0.093 and -0.4? -0.0372 Work out 172 * 0. 0 -0.082 * -21 1.722 -0.3 * -1626 487.8 345 * -0.1 -34.5 Product of 29 and 0.163. 4.727 What is the product of -257 and -0.2? 51.4 Product of 4 and 1514. 6056 14.8 * -1.47 -21.756 -42 * -3 126 -56 times 2 -112 What is the product of 0.18 and -0.2? -0.036 What is the product of 0.2 and -248? -49.6 What is the product of -33 and -7? 231 Work out 0.3 * 0.092. 0.0276 What is 0.3 times -0.728? -0.2184 What is 13 times 0.1? 1.3 Product of 0.1262 and 0.4. 0.05048 What is -0.2 times 28.3? -5.66 Multiply 0.7156 and 1. 0.7156 What is the product of -7 and -1598? 11186 Multiply -0.1 and 0.0696. -0.00696 -1 * -19.8 19.8 -0.017 * -2 0.034 Product of -0.2 and 90. -18 Multiply 0.7 and -259. -181.3 What is -109 times 1.1? -119.9 Work out 0.4 * 0.6. 0.24 Multiply 14 and 0. 0 What is 0.038 times 5? 0.19 What is the product of -0.8 and 5? -4 Multiply 13.6 and -0.18. -2.448 -2.6 times 0.9 -2.34 What is -1460 times -4? 5840 Work out -0.37 * -5. 1.85 Multiply 2 and 59. 118 What is the product of 0.5 and -3816? -1908 What is the product of 0.045305 and -5? -0.226525 Multiply -10983 and -0.5. 5491.5 Calculate 9.501*-3. -28.503 4 * -1.5 -6 What is the product of -11 and -19? 209 What is the product of 0.3 and 2809? 842.7 -0.5 times -0.25 0.125 0.4*-29.3 -11.72 -9.6 times -1 9.6 Calculate -3*0.4. -1.2 Work out 0.2 * 0.261. 0.0522 What is 0.2 times -0.0041? -0.00082 -4524 * 0.2 -904.8 Multiply 0.1 and 1.74. 0.174 Calculate -4.65*0.4. -1.86 What is the product of 1 and -103? -103 -0.02 times 0.2 -0.004 Calculate -8.3*-5. 41.5 Calculate 113*2. 226 0 * -1.988 0 -0.453 * 6 -2.718 0.11*-2.6 -0.286 Calculate 0.1*0.28. 0.028 -85*-6 510 Calculate -7*-3. 21 What is the product of 0.2 and -649? -129.8 What is the product of -4.085 and 0.6? -2.451 Multiply -2 and -0.074. 0.148 Work out -0.137 * -0.03. 0.00411 Work out -2 * -1543. 3086 Work out -0.11 * -0.43. 0.0473 Work out -0.005 * 0.5. -0.0025
{ "pile_set_name": "DM Mathematics" }
) in base 4? -10231031 Convert -16627 (base 8) to base 14. -2a91 What is -91 (base 16) in base 11? -122 -63e2 (base 15) to base 12 -10295 What is -14613 (base 7) in base 4? -333231 What is -19d (base 14) in base 13? -1ca Convert 1125 (base 6) to base 9. 328 Convert -1120113 (base 4) to base 6. -42103 -1305 (base 6) to base 12 -235 -1ae (base 16) to base 8 -656 -b55 (base 14) to base 3 -10001122 Convert -10000020122 (base 3) to base 12. -2a338 Convert 703 (base 11) to base 15. 3ba 112212 (base 3) to base 14 209 What is a560 (base 15) in base 13? 12bb8 What is -4f5 (base 16) in base 14? -669 1028 (base 12) to base 2 11011100000 What is 82 (base 10) in base 15? 57 Convert -26c3 (base 15) to base 12. -4963 11020211 (base 3) to base 9 4224 11010001001 (base 2) to base 16 689 -217 (base 15) to base 11 -39a Convert 3acc (base 16) to base 3. 202122111 Convert -2466 (base 7) to base 14. -4a6 What is -1012 (base 4) in base 14? -50 Convert 112134 (base 6) to base 15. 2c77 Convert 2596 (base 13) to base 15. 18c7 What is -79b8 (base 12) in base 9? -20505 1312331 (base 5) to base 13 ba85 Convert -21011111 (base 3) to base 4. -1101220 What is -694 (base 11) in base 14? -433 13041 (base 8) to base 14 20c9 What is 10100100101110 (base 2) in base 8? 24456 Convert 203320 (base 4) to base 2. 100011111000 Convert 883 (base 9) to base 8. 1323 What is 88bb (base 16) in base 10? 35003 295 (base 10) to base 2 100100111 Convert -104426 (base 7) to base 8. -43733 103 (base 16) to base 10 259 Convert 7401 (base 14) to base 2. 100111000011001 234 (base 11) to base 14 15d 45620 (base 7) to base 11 8810 What is -103 (base 5) in base 9? -31 Convert 202020 (base 5) to base 10. 6510 What is 50b (base 15) in base 3? 1120002 -4323 (base 5) to base 9 -723 What is 15210 (base 7) in base 12? 2539 Convert -2150 (base 6) to base 7. -1311 What is -9159 (base 13) in base 3? -1000110100 What is -10d70 (base 15) in base 7? -312300 -aef (base 16) to base 5 -42144 What is 4302 (base 6) in base 13? 59c What is 152442 (base 7) in base 11? 20372 Convert 6d5 (base 16) to base 12. 1019 What is -4a0 (base 12) in base 13? -417 What is 5478 (base 16) in base 15? 6619 -182 (base 12) to base 4 -3302 -10d (base 14) to base 4 -3101 -6c1 (base 16) to base 7 -5020 What is 7f1f (base 16) in base 9? 48568 What is 6508 (base 12) in base 7? 44231 -10101111001 (base 2) to base 10 -1401 -4bb0 (base 12) to base 4 -2012310 Convert 6902 (base 15) to base 12. 10a85 13111 (base 5) to base 12 71b -45887 (base 10) to base 4 -23030333 What is e9b (base 15) in base 14? 12b6 What is 1105 (base 6) in base 9? 315 What is -20663 (base 7) in base 4? -1100111 Convert 161d3 (base 15) to base 16. 11682 What is -221022 (base 5) in base 15? -23e2 a51 (base 14) to base 5 31111 Convert 38c (base 13) to base 6. 2515 7e (base 16) to base 4 1332 What is 2f2c (base 16) in base 7? 50131 a285 (base 15) to base 11 23875 Convert -223334 (base 5) to base 14. -2c93 What is -222332 (base 4) in base 16? -abe What is -22121002 (base 3) in base 14? -23d8 7330 (base 11) to base 12 5755 7 (base 10) to base 9 7 What is a95 (base 15) in base 12? 1472 What is -6938 (base 11) in base 10? -9116 Convert 8212 (base 10) to base 11. 6196 What is -121123 (base 4) in base 6? -11311 -197a (base 14) to base 7 -16313 Convert 204 (base 6) to base 16. 4c What is -13846 (base 10) in base 13? -63c1 What is ab (base 13) in base 15? 96 31422 (base 6) to base 12 2572 What is 49b (base 15) in base 9? 1382 -596b (base 12) to base 4 -2130203 c47 (base 15) to base 13 134b What is 110212020 (base 3) in base 9? 13766 Convert 1054 (base 8) to base 7. 1423 Convert -301224 (base 5) to base 2. -10010101011100 -3243 (base 12) to base 7 -22050 Convert 254021 (base 7) to base 9. 71428 What is 1226 (base 7) in base 3? 122002 1247 (base 13) to base 3 10120002 -549 (base 10) to base 3 -202100 What is aab (base 14) in base 2? 100000111111 What is -523 (base 10) in base 3? -201101 1101101100 (base 2) to base 13 525 Convert -1001300 (base 4) to base 10. -4208 1441 (base 11) to base 7 5265 -2123 (base 7) to base 5 -11002 -14216 (base 7) to base 15 -123e Convert -71dd (base 15) to base 10. -24058 a82 (base 13) to base 2 11100000100 Convert -3811 (base 10) to base 12. -2257 Convert 165a (base 11) to base 10. 2122 What is -246233 (base 7) in base 2? -1011000101010110 -4049 (base 10) to base 2 -111111010001 What is 10101000001010 (base 2) in base 11? 80a4 -40423 (base 5) to base 8 -5065 Convert -2443 (base 14) to base 13. -2b60 21100 (base 4) to base 8 1120 -824 (base 15) to base 6 -12254 What is 779 (base 15) in base 4? 122121 2717 (base 9) to base 16 7f9 What is -110022002 (base 3) in base 12? -5232 144 (base 11) to base 6 441 564 (base 13) to base 5 12202 What is 4230 (base 13) in base 8? 21715 6a (base 14) to base 2 1011110 What is -61 (base 14) in base 3? -10011 What is -692 (base 13) in base 8? -2155 What is -455 (base 15) in base 10? -980 230 (base 8) to base 14 ac Convert -326012 (base 7) to base 8. -157712 What is -12226 (base 7) in base 6? -22501 What is 23902 (base 10) in base 7? 126454 Convert 193 (base 11) to base 2. 11011111 100011010000 (base 2) to base 13 1047 What is -d5a (base 15) in base 4? -233002 Convert 11525 (base 8) to base 14. 1b37 What is 86216 (base 9) in base 6? 1120023 What is -7a1 (base 12) in base 3? -1112211 What is -10 (base 4) in base 10? -4 1c5 (base 15) to base 14 214 Convert -23344 (base 5) to base 3. -2100212 Convert -122516 (base 7) to base 14. -830d -8181 (base 16) to base 15 -9c53 Convert -2382 (base 10) to base 2. -100101001110 Convert 2304 (base 9) to base 11. 1310 What is 50426 (base 8) in base 10? 20758 What is 4442 (base 11) in base 15? 1b04 Convert -414440 (base 5) to base 3. -200212002 What is -201100 (base 3) in base 6? -2230 Convert -35601 (base 10) to base 15. -a836 What is -43b (base 13) in base 9? -886 6372 (base 8) to base 6 23214 Convert -289 (base 10) to base 8. -441 Convert -37b (base 13) to base 16. -261 437 (base 12) to base 11 513 What is 4436 (base 14) in base 2? 10111000100000 What is -102111202 (base 3) in base 7? -33314 Convert -480b (base 14) to base 15. -3ac0 What is 1002110 (base 3) in base 11? 663 Convert 22f (base 16) to base 11. 469 Convert 6513 (base 12) to base 8. 25537 Convert -182 (base 10) to base 11. -156 -789 (base 10) to base 4 -30111 What is -8814 (base 10) in base 11? -6693 Convert -66c3 (base 15) to base 4. -11110113 What is -970 (base 15) in base 6? -13510 What is 10573 (base 9) in base 8? 15570 273a5 (base 11) to base 2 1001100010100101 562 (base 7) to base 5 2124 Convert 121110 (base 3) to base 2. 110111100 What is -173 (base 10) in base 7? -335 What is 2580 (base 10) in base 9? 3476 17431 (base 10) to base 8 42027 -1001221 (base 4) to base 12 -2521 What is -1c53 (base 13) in base 12? -2599 -88668 (base 9) to base 10 -58868 -21363 (base 7) to base 3 -21022200 What is 24402 (base 8) in base 7? 42415 What is -4041 (base 7) in base 3? -1220220 What is 15aa8 (base 11) in base 10? 22624 What is 5285 (base 9) in base 14? 15b6 Convert 13100 (base 4) to base 15. 20e 19588 (base 10) to base 12 b404 Convert -101022 (base 3) to base 11. -233 Convert -330 (base 13) to base 9. -666 -36130 (base 9) to base 16 -5e65 What is 22777 (base 12) in base 14? 12ab9 -23268 (base 9) to base 4 -3302231 Convert a7c (base 13) to base 7. 5141 2127 (base 8) to base 7 3145 Convert 825a (base 12) to base 2. 11011101100110 Convert -61504 (base 8) to base 7. -134042 What is 1621 (base 9) in base 4? 103102 What is -32d6 (base 16) in base 3? -122212000 What is 14f9 (base 16) in base 14? 1d57 529 (base 16) to base 13 7a8 3455 (base 6) to base 7 2261 Convert -121021 (base 3) to base 4. -12313 What is -1253 (base 6) in base 10? -321 -111011011110 (base 2) to base 7 -14045 21211 (base 4) to base 11 508 What is 241 (base 13) in base 8? 607 What is -586 (base 10) in base 9? -721 -3db (base 15) to base 2 -1101110001 Convert -1b41 (base 12) to base 11. -2586 c023 (base 13) to base 15 7c48 What is -111220 (base 3) in base 8? -567 Convert 20 (base 12) to base 7. 33 What is 1517 (base 11) in base 15? 8a4 Convert -ab (base 13) to base 2. -10001101 Convert -574 (base 9) to base 12. -334 Convert 2c28 (base 16) to base 8. 26050 What is -1521 (base 10)
{ "pile_set_name": "DM Mathematics" }
wrt t. 60*q**3*t**3 - 120*q**3*t What is the second derivative of 390*g**2 + 485*g wrt g? 780 What is the second derivative of -17*p**3 + 313*p**2 + 453*p + 1? -102*p + 626 What is the second derivative of -2*r**5 - 3618*r**4 + 5604*r wrt r? -40*r**3 - 43416*r**2 Find the second derivative of -213*c**4 + 171*c wrt c. -2556*c**2 Find the third derivative of 7*a**3*o**3*u - 6*a**3*o*u**3 + a**3*u**2 - 2*a**2*o**3*u**2 + 84*a**2*o*u - 1892*a*o**3*u**3 + a*o**3*u**2 wrt u. -36*a**3*o - 11352*a*o**3 What is the second derivative of -8713*b**3*h**3 + b**3*h*m**3 - b**2*h**2*m**3 + 2*b**2*m - 2*h*m**3 + 9*h*m - 13*h wrt h? -52278*b**3*h - 2*b**2*m**3 What is the third derivative of 2*b**4*k - 5*b**3 - b**2*k - 154*k wrt b? 48*b*k - 30 What is the third derivative of 42*h**3*m + 15*h**3 - 7*h**2 - 70*h*m wrt h? 252*m + 90 What is the second derivative of 1311*g**2 - 202*g - 2 wrt g? 2622 Find the third derivative of -54*f**5 + 3*f**3 + 17098*f**2. -3240*f**2 + 18 Differentiate -771*t + 571 wrt t. -771 Find the third derivative of 2*m**2*p**4 - 13*m**2 + 3*m + 37*p**5 + 2*p**2 wrt p. 48*m**2*p + 2220*p**2 What is the third derivative of -24358*x**4 - 1478*x**2 - 2*x + 2 wrt x? -584592*x What is the third derivative of -3168*d**2*u**5 + 2*d**2*u**4 + 17*d**2*u - 19*d*u + 3*u**2 wrt u? -190080*d**2*u**2 + 48*d**2*u Find the third derivative of -220*n**3*q**2 + 4*n**2*q**2 - 9*n**2 - q**2 wrt n. -1320*q**2 What is the second derivative of -49*s**2 - 5*s wrt s? -98 Differentiate -15*r**3 + 8*r**2 + 5*r + 7778 wrt r. -45*r**2 + 16*r + 5 Find the first derivative of 894*z**3 + 425 wrt z. 2682*z**2 Find the third derivative of 21*g**2*l**5 + 84*g**2*l**3 - 30*g**2*l**2 + 38*g**2*l wrt l. 1260*g**2*l**2 + 504*g**2 What is the third derivative of -1857*a**3*z**2 - 2*a**2*z**2 + 20*a**2 + 3*z wrt a? -11142*z**2 Find the second derivative of 12212*h**3 - 16321*h wrt h. 73272*h What is the third derivative of 2*a**6 + 172*a**5 - 188*a**2 - 3*a? 240*a**3 + 10320*a**2 Find the third derivative of -2539*t**5 + 17*t**2 - 18*t. -152340*t**2 What is the third derivative of -79*c**6 + 3*c**4*l - c**2*l + c**2 - 71*c*l wrt c? -9480*c**3 + 72*c*l What is the first derivative of 2*d*h*m**2*z + 7*d*h - 5*d*m**2 - d + 2*h*m**2*z - 5*h*m*z - 3*m**2 wrt d? 2*h*m**2*z + 7*h - 5*m**2 - 1 Differentiate 234*b*n + 2*b - 34*n - 1 with respect to b. 234*n + 2 Find the third derivative of -j**6 + 33*j**5 + 140*j**2 wrt j. -120*j**3 + 1980*j**2 Find the third derivative of -8983*l**3 + 15311*l**2 wrt l. -53898 What is the second derivative of p**4 + p**3 + 127*p**2 + 523*p? 12*p**2 + 6*p + 254 Differentiate 103*b**2*i**3 - 2*i**3 + 19 with respect to b. 206*b*i**3 Differentiate -2*k**2*t + 6086*k**2 - 150*k*t**2 - 2*t**2 wrt t. -2*k**2 - 300*k*t - 4*t What is the second derivative of 283*a**2*y**3 + a*y - 9*a - 3*y**3 wrt a? 566*y**3 Find the first derivative of -2*m*q**2*z - 872*m*q**2 + 24*q**2*z + z wrt z. -2*m*q**2 + 24*q**2 + 1 Find the first derivative of -f**3*r*u - 6*f**3*u*z + 2*f**3 + 4*f*r*z - 73*f*r - 5*f*u*z - r*u wrt z. -6*f**3*u + 4*f*r - 5*f*u Find the first derivative of -2*c**2*x - 8*c**2 - 4*c*x + 355*x wrt c. -4*c*x - 16*c - 4*x Find the first derivative of -98*n**2 + 2*n - 1287 wrt n. -196*n + 2 What is the second derivative of -13*p**5*t + 67*p**3 - p**2*t - 6*p - 52*t wrt p? -260*p**3*t + 402*p - 2*t Find the first derivative of -5*h**3*x - h*x**3 - 560*x**3 wrt h. -15*h**2*x - x**3 What is the second derivative of 6376*p**5 + 18*p + 11? 127520*p**3 What is the derivative of -282*y - 858 wrt y? -282 What is the second derivative of 136*b**2 + 155*b? 272 What is the first derivative of -409*w**4 + 40? -1636*w**3 Find the third derivative of 2*a**2*t**3 + 7*a**2*t + 37*a*t**4 - 5*t**2 - 3 wrt t. 12*a**2 + 888*a*t What is the third derivative of -i**5 - 22*i**3 + 6*i**2 - 7*i? -60*i**2 - 132 What is the first derivative of 18*o**3 + 3*o + 187? 54*o**2 + 3 What is the derivative of 2*h**2*o**3 - h*o**3 + h*o**2*z + 286*o**3*z wrt h? 4*h*o**3 - o**3 + o**2*z What is the derivative of 47*i**2*m**3 - 118*i**2 - 3*m**3 + 2 wrt m? 141*i**2*m**2 - 9*m**2 Differentiate -1124*j**4*n**2 + 4*j*n**3 + 532*n**3 + 2*n**2 - 2 with respect to j. -4496*j**3*n**2 + 4*n**3 What is the derivative of -16*o*w**2 + 150*o*w + 3*o - 2*w**2 + 2378 wrt w? -32*o*w + 150*o - 4*w Differentiate -55*a**2*h - 2*a**2*t + 2*a*h - h*t + 197*t with respect to a. -110*a*h - 4*a*t + 2*h Differentiate -5416*a**4 - 5398. -21664*a**3 Find the second derivative of -1539*s**3 - 55*s + 14 wrt s. -9234*s What is the third derivative of 59*o**6 + 6*o**4 + 2*o**2 + 12*o wrt o? 7080*o**3 + 144*o What is the second derivative of 6*g**3*y**2 - 5*g**3*y + 2*y**4 - 32*y**2 + 90*y wrt y? 12*g**3 + 24*y**2 - 64 What is the second derivative of 1089*c**2 - c - 3 wrt c? 2178 Find the third derivative of 4*p**5 + 261*p**3 - 4*p**2 - 61*p. 240*p**2 + 1566 Find the second derivative of -1383*j**2 + 21*j - 28 wrt j. -2766 Find the second derivative of 2*j**5*o + 2007*j**3*o**3 - 2*j*o**3 - 958*j*o**2 wrt j. 40*j**3*o + 12042*j*o**3 What is the third derivative of 3503*v**3 - 35*v**2 - 18? 21018 What is the second derivative of 13*f*o**4 - 77*f - 14*o**5 - 4*o wrt o? 156*f*o**2 - 280*o**3 What is the first derivative of -d**2*i**4 + 50*d**2 - 2*d + 2135*i**2 + 2 wrt i? -4*d**2*i**3 + 4270*i What is the third derivative of -4*n*p**3*r**3 - n*p**2*r - n*p*r**3 - 2*n*p*r**2 + 198*p**6*r**3 - 1 wrt p? -24*n*r**3 + 23760*p**3*r**3 Find the third derivative of 5*d*h**3 + 4*d*h**2 - 2*d - 13*h**2 wrt h. 30*d What is the third derivative of -2*a**3*g**2*z + 206*a**3*g*z + 7*a**2*g**2 + 4*a**2*g + 4*g**2*z + 2 wrt a? -12*g**2*z + 1236*g*z Differentiate 1634*y - 338 wrt y. 1634 What is the derivative of -40*b*s**3 - 84*b - 2 wrt s? -120*b*s**2 What is the third derivative of -27*p**5 + 2*p**4 + 660*p**2? -1620*p**2 + 48*p Differentiate -440*b**2*o*w - 3*b**2*o + 5*b**2 + b*o*w - 36*b*o - o*w - 2*w wrt w. -440*b**2*o + b*o - o - 2 Find the second derivative of -3*s**3 - 11*s**2*w**3 + s*w**3 - w**3 + 6 wrt s. -18*s - 22*w**3 Find the third derivative of 5*a**6*f**2 + 29*a**3*f - 52*a**2*f - a**2 + a*f**2 wrt a. 600*a**3*f**2 + 174*f Find the first derivative of -29*f**3*s + 16*f**3 + 42*f**2 + 5*f*s - s wrt s. -29*f**3 + 5*f - 1 Find the third derivative of -5*h*k**4 + h*k**3 + 15*h*k**2 - 117*h*k + 42*k**4 - 2*k**3 wrt k. -120*h*k + 6*h + 1008*k - 12 Differentiate -2*l**4 - 294*l**3 - 1843. -8*l**3 - 882*l**2 What is the first derivative of -3*i**3 - 472*i**2 + 984? -9*i**2 - 944*i Find the second derivative of -g**5*n**3 + g**2*n**2 - 1834*g**2 - 2*g*n - 1572*n**3 wrt g. -20*g**3*n**3 + 2*n**2 - 3668 Find the third derivative of -n*o**5 + 4*n*o**3 - 2*n*o**2 + 7*n*o + 2*o**5 - 3*o - 43 wrt o. -60*n*o**2 + 24*n + 120*o**2 Differentiate 1460*g + 5501 wrt g. 1460 What is the third derivative of -u**5 + 454*u**3 - 15*u**2 - 10*u + 3 wrt u? -60*u**2 + 2724 Find the third derivative of 14*h**6*t - 3*h**3*t**3 - h**2*t**3 + 9*h*t**3 - 57*t**3 wrt h. 1680*h**3*t - 18*t**3 What is the first derivative of -46*q - 271? -46 What is the third derivative of -50*w**4 + 75*w**3 - 1044*w**2 + w? -1200*w + 450 What is the second derivative of -780*k**2 - 3*k + 38 wrt k? -1560 What is the first derivative of 12*z**4 + 2*z - 75 wrt z? 48*z**3 + 2 What is the derivative of -9*c*j**4 + 2*c*j**2 + 198*c - 10*j**4 wrt j? -36*c*j**3 + 4*c*j - 40*j**3 Differentiate 86*w**3 + 184 wrt w. 258*w**2 What is the derivative of 38*k**2 - 15*k + 2600? 76*k - 15 What is the third derivative of 5*c**4 + 166*c**3 + 7*c**2 + 467*c? 120*c + 996 Find the second derivative of -2*a**4 - 134*a**2*r + 12*a*r + 5*r wrt a. -24*a**2 - 268*r Differentiate 294*c**2*p - 27337*c**2 - 10*c*p**2 with respect to p. 294*c**2 - 20*c*p What is the second derivative of -m**3*q**5 - 989*m**3*q**3 - m**3*q - 335*m**3 wrt q? -20*m**3*q**3 - 5934*m**3*q Find the first derivative of 3*l**2 - 6*l - 108 wrt l. 6*l - 6 What is the derivative of -14*q*y**2 - 4*y**2 - 28 wrt q? -14*y**2 Find the third derivative of -82*a**3*t**3*x - 4*a**3*t**2 + 4*a**3*x + 4*t**3*x + 52*t**2*x wrt t. -492*a**3*x + 24*x Find the second derivative of 379*j**2*r*x - 26*j*r*x + 2*j*r - 2*j*x wrt j. 758*r*x What is the
{ "pile_set_name": "DM Mathematics" }
terms in -5*g + 11*g - 2*g + 15*g. 19*g Collect the terms in -937*s**3 - 13*s**2 + 13*s**2. -937*s**3 Collect the terms in 46*j + 31*j - 81*j. -4*j Collect the terms in 13742 - s - 13742. -s Collect the terms in g**3 - 236 - 9*g**3 + 236. -8*g**3 Collect the terms in 9*b**2 - 5*b**2 + 29*b**2. 33*b**2 Collect the terms in 5*u**2 - 11*u**2 + 9*u**2. 3*u**2 Collect the terms in 1599*d - 798*d - 801*d - 4*d**2. -4*d**2 Collect the terms in 133*s**2 + 277*s**2 - 94*s**2. 316*s**2 Collect the terms in -3*x**2 + 4*x**2 + x**2 + 6*x. 2*x**2 + 6*x Collect the terms in 162 + 2*z - 162. 2*z Collect the terms in 28 - 8*f**3 - 28 + 4*f**3. -4*f**3 Collect the terms in 7*h - h - 4*h. 2*h Collect the terms in 1227 + v**2 - 1227 + v**2. 2*v**2 Collect the terms in -1385782 + 1385782 - 2*o**2. -2*o**2 Collect the terms in 4*m - 8*m - 5*m - 2*m. -11*m Collect the terms in 4*q - 39 + 39. 4*q Collect the terms in 24*y - 40*y + 25*y. 9*y Collect the terms in -25*k**2 - 25*k**2 + 2*k**3 + 40*k**2 - 4*k**3. -2*k**3 - 10*k**2 Collect the terms in -106*q**2 - 1 + 2 - 1. -106*q**2 Collect the terms in -14*v**2 + 9*v**2 - 22*v**2. -27*v**2 Collect the terms in -f + 6*f - 5*f + 16*f**3. 16*f**3 Collect the terms in 48*d**2 + 53*d**2 - 77*d**2. 24*d**2 Collect the terms in -2*r**2 + 9*r**2 + 4*r**2. 11*r**2 Collect the terms in -9970*m + 4985*m + 4986*m. m Collect the terms in -320*h + 711*h + 961*h + 246*h. 1598*h Collect the terms in -6*d - 18*d - 34*d. -58*d Collect the terms in -351 + 4*o - 351 + 702. 4*o Collect the terms in 19736*l**2 - 39496*l**2 + 19759*l**2. -l**2 Collect the terms in -10*g + 18*g**3 + 10*g**3 + 10*g. 28*g**3 Collect the terms in -4*f + 69*f**2 + 4*f - 71*f**2. -2*f**2 Collect the terms in -108*x**3 - 107*x**3 + 213*x**3. -2*x**3 Collect the terms in -5*y**3 + 48*y**2 - 48*y**2. -5*y**3 Collect the terms in 66*g**2 - 31*g**2 - 26*g**2. 9*g**2 Collect the terms in 4 + 8*x - 5 + 3. 8*x + 2 Collect the terms in 11 - 25 - 3*d + 14. -3*d Collect the terms in -9 + 9 - 33*r**2 + 8*r**2. -25*r**2 Collect the terms in 13*n - 25 + 25 + 11*n. 24*n Collect the terms in 1192*f**2 - 3579*f**2 + 1206*f**2 + 1197*f**2. 16*f**2 Collect the terms in -7*k**3 + 34*k**2 + 69*k**2 - 103*k**2. -7*k**3 Collect the terms in -56*d**3 + 64*d**3 + 0*d**2 + 0*d**2. 8*d**3 Collect the terms in 0*c**2 - 4*c**2 - 2*c**2 - 2*c**2. -8*c**2 Collect the terms in 21 - 6 - 4 - 2*v**3. -2*v**3 + 11 Collect the terms in -2*r + 8*r - 24*r - 29*r. -47*r Collect the terms in -i - 21*i + i - 29*i. -50*i Collect the terms in 18030*l - 36059*l + 18029*l - 2*l**3. -2*l**3 Collect the terms in -n - 772*n**2 - n + 199*n**2. -573*n**2 - 2*n Collect the terms in 434*c - 903*c + 427*c. -42*c Collect the terms in -j**2 - 3 + 4*j**2 + 3. 3*j**2 Collect the terms in -4702 + 4702 + 4*y. 4*y Collect the terms in -3*s**3 + 2*s**3 + 2*s**3 + 5*s**3 - 5*s**3. s**3 Collect the terms in 3 + 171*q**3 + 32*q**3 - 3. 203*q**3 Collect the terms in 14*h**2 - 13*h**2 + h - h. h**2 Collect the terms in -19*u**3 + 10*u - 5*u - 5*u. -19*u**3 Collect the terms in 2*v**2 - 2*v**2 - 253*v**3. -253*v**3 Collect the terms in 38618*s - 38618*s + 3*s**2. 3*s**2 Collect the terms in 5 - 5 + 10*g - 4*g. 6*g Collect the terms in -6*k**3 - 10*k**3 - 23*k**3. -39*k**3 Collect the terms in -23*g - 4*g + 18*g. -9*g Collect the terms in -39*j**2 - 16*j**2 - 13*j**2 + 2*j**2. -66*j**2 Collect the terms in 11*f - 29*f + 17*f. -f Collect the terms in 38 - 92 + 54 - 10*s. -10*s Collect the terms in 7*u + 213 - 213 + 12*u**2 + 4*u. 12*u**2 + 11*u Collect the terms in 7 - 2*i + 23 + 15. -2*i + 45 Collect the terms in 0*t + 7*t + 3*t + t. 11*t Collect the terms in -2*s - 16*s - 9*s + 0*s. -27*s Collect the terms in 20*v + 6*v - 5*v. 21*v Collect the terms in 9 - 285*i**3 - 8 - 1. -285*i**3 Collect the terms in -15*g + 8*g - 6*g. -13*g Collect the terms in 2*c**2 - c**2 - 79 + 79. c**2 Collect the terms in 297*w**3 + 3*w**2 - 9*w**2 - 2 + 6*w**2. 297*w**3 - 2 Collect the terms in -14*x + 14*x - 3 + 4*x**2 + 21. 4*x**2 + 18 Collect the terms in -5*p**3 - 12*p**3 - 11*p**3 + 47*p**3 - 13*p**3. 6*p**3 Collect the terms in -10*r + 3 - 3 + 5*r. -5*r Collect the terms in 190*n + 2 - 2 - 196*n. -6*n Collect the terms in 68*m**3 + 68*m**3 + 67*m**3 - 200*m**3. 3*m**3 Collect the terms in -11*t - 49*t + t. -59*t Collect the terms in -26 + 14 + 12 + 8*s - 10*s. -2*s Collect the terms in 2287 - 2287 + 5*o - 2*o. 3*o Collect the terms in -123*b + 61*b - 2 + 61*b. -b - 2 Collect the terms in 41*g**2 - 21*g**2 - 7*g**2. 13*g**2 Collect the terms in 0*y**2 + 4*y**2 - y**2. 3*y**2 Collect the terms in 0*a - 5*a + 0*a - 5*a. -10*a Collect the terms in 29*f - 4*f - 7*f - 6*f. 12*f Collect the terms in -14*w**2 - 28*w**3 + 4*w**2 + 10*w**2. -28*w**3 Collect the terms in -1 - 3 - 2*x - 1 - 2*x. -4*x - 5 Collect the terms in 10*q**2 - 8*q**2 + 3*q**2 - 5*q**2 - 43*q**3. -43*q**3 Collect the terms in -82*g - 61*g + 30*g. -113*g Collect the terms in 1 - 5 - 1652*j + 4. -1652*j Collect the terms in 2*l**3 + 8*l**3 - 2*l**3 + 0*l**3. 8*l**3 Collect the terms in 4 - 1 - 15*u - 2. -15*u + 1 Collect the terms in 37*z - 13*z - 27*z. -3*z Collect the terms in -1460835 - 2*n + 1460835. -2*n Collect the terms in 1 - 86*w - 64*w**2 - 62*w**2 + 86*w. -126*w**2 + 1 Collect the terms in -282*i - 285*i + 582*i. 15*i Collect the terms in -2*v - 4*v - 3*v. -9*v Collect the terms in 302*n**2 + n - 3*n + 2*n. 302*n**2 Collect the terms in -7 - 27*p**2 - 16*p**2 + 7. -43*p**2 Collect the terms in 19*z - 13*z + 2 - 2. 6*z Collect the terms in 3*u**2 - 14*u**2 + 0*u**2 + 6*u**2. -5*u**2 Collect the terms in 2*g - 2*g - 1157*g**2. -1157*g**2 Collect the terms in 1 - 17*i + 1 + 31*i - 1. 14*i + 1 Collect the terms in -28*n**2 + 1 + 2 - 3. -28*n**2 Collect the terms in 550 - 2*s - 550. -2*s Collect the terms in -1 + 1 - 31*m**2 + 35*m**2. 4*m**2 Collect the terms in 2*n**2 + 65*n**3 - 2*n**2 - 55*n**3. 10*n**3 Collect the terms in -29*t**2 + 1 + 31*t**2 - 54*t**2 - 16*t**2. -68*t**2 + 1 Collect the terms in -10 + 8 + 2 - o**3. -o**3 Collect the terms in 2 + 4*f - f - 3*f + 5*f**3. 5*f**3 + 2 Collect the terms in -30*n - 12*n - 3 + 5. -42*n + 2 Collect the terms in 6 - 6 + 53*o. 53*o Collect the terms in -6*u**3 + 22*u - 22*u + 9*u**3. 3*u**3 Collect the terms in 8 - 19 + 7 + u + 4. u Collect the terms in 9*c - 3*c - 2*c**2 + 7*c**2 - 6*c. 5*c**2 Collect the terms in -9*v**2 + 7051 - 7051. -9*v**2 Collect the terms in 0 - 2*x**2 - 1 + 28*x**2. 26*x**2 - 1 Collect the terms in -3 - 1861*w + 3 + 917*w + 929*w. -15*w Collect the terms in -4298294*b + 4298294*b + 4*b**2. 4*b**2 Collect the terms in -2 + 3*q**2 + 3*q**2 + 2*q**2 - 2*q**2. 6*q**2 - 2 Collect the terms in -11*v - 21*v + 29*v. -3*v Collect the terms in h - 27*h**2 - 1 + 5 - 4. -27*h**2 + h Collect the terms in -4 - 2 + 19867*c + 6 - 19868*c. -c Collect the terms in 4*t - 93 + 93. 4*t Collect the terms in 4*j - 1 - 7*j - 5*j + j. -7*j - 1 Collect the terms in 2843*m**2 - 10*m + 10*m. 2843*m**2 Collect the terms in -2*x**2 - 16*x**3 - 1 + 2*x**2 - 3*x**3. -19*x**3 - 1 Collect the terms in -4*n**3 - 36*n**3 - 19*n**3. -59*n**3 Collect the terms in -532*i + 4*i**2 - 12*i**2 + 4*i**2. -4*i**2 - 532*i Collect the terms in -31*x**2 + 79*x**3 + 31*x**2. 79*x**3 Collect the terms in 11*r**2 - 14*r**2 + 0*r**2 - r**2. -4*r**2 Collect the terms in -5336*q**2 - 3*q**3 + 11*q**3 + 5336*q**2. 8*q**3 Collect the terms in 3*h**2 - 2*h**2 - 30*h - 2*h**2. -h**2 - 30*h Collect the terms in 3*b**2 - 10*b**2 + 4*b**2 + b**2. -2*b**2 Collect the terms in 3*h**2 + 0*h**2 - 15*h + 29*h - 14*h. 3*h**2 Collect the terms in 4 + 28*f - 5 + 3. 28*f + 2 Collect the terms in g + 3 - 1 - 2. g Collect the terms in 13*v**3 + 7*v**3 + 17*v**3 + 4 - 5. 37*v**3 - 1 Collect the terms in -k**2 - 2*k**3 + 5*k**2 - 4*k**2. -2*k**3 Collect the terms in 4*b**2 - 386 + 386. 4*b**2 Collect the terms in -12 - 2*w**2 + 31 - 14 - 5. -2*w**2 Collect the terms in -77*g**3 - 51*g**3 + 119*g**3. -9*g**3 Collect the terms in 232*w + 13*w + 18 - 18. 245*w Collect the terms in -2 - 16*f**2 - 2*f**2 + 22*f**2 + 2. 4*f**2 Collect the terms in -25*b**3 - b**2 + b**2 - 15*b**3. -40*b**3 Collect the terms in -l**3 + 159*l**2 + 3 - 2*l**3 - 3. -3*l**3 + 159*l**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
- 3 + 1)*(-h**2 - 2*h + 2*h) + 4*h - 4*h - 12*h**2. -11*h**2 Expand (7 + 2 - 3)*(-2*g - 3*g + g). -24*g Expand (-4 - 54*l + 4)*(0 + 2 + 0)*(-4 + 4 + 2*l). -216*l**2 Expand 4*l**3 - 3*l**3 - 2*l**3 + (0*l**2 + l**2 + l**2)*(-2 + 2 - 2*l) + (-21 - 16 + 20)*(l**3 + 2*l**3 - 2*l**3). -22*l**3 Expand -3 + 3 + w + (1 + 1 + 1)*(0 + 0 - 2*w). -5*w Expand (-2*y - y + 0*y)*((1 - 1 - 6)*(1 + 2 - 1) + (-3 - 4 + 6)*(4 + 0 - 2)). 42*y Expand (-2*x**2 - 3*x + 3*x)*((7*x - 3*x - 2*x)*(-6 + 4 + 0) - 2*x - x + 4*x - 1 + 2*x + 1 - x + 4*x - 5*x). 6*x**3 Expand (1 + 3 - 2 - 7 + 4 + 2 + (-3 + 0 + 1)*(-3 + 6 - 1))*((2*k + 2*k - 5*k)*(-3*k**4 - 1 + 1) + 2*k**5 + k**2 - k**2). -15*k**5 Expand 50 - 50 + 20*n**4 + (-2*n - 2*n + 2*n)*(-1 + 1 + n**3). 18*n**4 Expand (-4*q - 7*q**2 - 3 + 4*q**2 - 2*q)*(-1 + 4 - 2). -3*q**2 - 6*q - 3 Expand (3*i + 5*i - 4*i)*(-4*i - 33 - 6*i + 9*i). -4*i**2 - 132*i Expand (5*d + 10*d + 8*d)*(-5 + 4 - 2). -69*d Expand (4 - 4 + 4*r)*(-4*r + 3*r + 2*r)*(2 + 1 - 2)*(r + r + 0*r). 8*r**3 Expand (-1 + 1 - x**4)*(1 + 5 - 5)*(24 - 28 + 23). -19*x**4 Expand (4*i - 4*i + i)*(-52 + 13*i**2 + 52). 13*i**3 Expand (3*f**2 - 5*f**2 + 3*f**2)*((-2 + 2*f + 2)*(-5 - 4 + 33) + f + 2*f - f). 50*f**3 Expand (v - v + 2*v**2 + (4*v - 4*v - v)*(0*v - v + 4*v))*(-v + 5*v + 0*v). -4*v**3 Expand (-f**2 + 4*f - 4*f)*(12*f - 11*f - 2*f**2 - 2*f**2). 4*f**4 - f**3 Expand (-3*l + 3*l - 2*l**2 + (2*l + l - 2*l)*(2*l - 3*l + 0*l))*(-7 - 5 + 2*l + 5 + (-l + 2*l - 3*l)*(1 - 6 + 3)). -18*l**3 + 21*l**2 Expand y**2 - 4*y**2 + 4*y**2 + (4 - 1 - 1)*(-2 - 2*y**2 + 2) + (2 - 1 + 2)*(-6*y**2 + 4*y**2 + 3*y**2) + 3*y**2 + 4*y**2 - 4*y**2. 3*y**2 Expand (-o - 3*o + 3*o)*(3 + 3 - 5) + (2*o - 3*o + 2*o)*(2 - 3 - 3). -5*o Expand (0*m + 3*m + m)*(-m - m + 3*m)*(2 - 1 + 0). 4*m**2 Expand 0*y + 7*y + 4*y + y - 5*y + 5*y + (-3 + 3 - y)*(-1 + 2 - 2). 13*y Expand (y + 0*y + 4 - 3)*(2 - 3 + 2) + 30*y - 3*y - 8*y. 20*y + 1 Expand (2*i**5 + 4*i**5 - 3*i**5)*(1 + 2 - 1)*(1 - 6 - 1). -36*i**5 Expand (-4*k + 0*k + 3*k - k - 3*k + 3*k - 2*k + 3 - 3 + (-k + 0 + 0)*(4 - 3 - 2) + 2 - 2*k - 2 - 3*k + 4*k - 2*k - 2*k + 1 - 1 - 2*k + k - 4*k)*(1 - 4 + 5). -26*k Expand (4*s + 3*s**2 - 4*s)*(-4*s + 3*s + 2*s + (5 - 1 - 6)*(s + 2*s - 4*s)). 9*s**3 Expand (-4*y**2 + 4*y**2 - 2*y**4)*(11 + 0 + 2). -26*y**4 Expand j**3 + 3*j**3 - 6*j**3 + (-2*j**2 - j**2 + 4*j**2)*(j - 4*j + j) + (2*j - 2 + 2)*(0 - 1 - 1)*(-13*j**2 + 11*j**2 - 31*j**2). 128*j**3 Expand 3*o**5 - 7*o**5 + o**5 + o**5 + o**3 - o**3 + (4*o**3 - 4*o**3 + 2*o**3)*(-2*o**2 + o - o) - 2*o**5 + 3*o**5 - 2*o**5. -7*o**5 Expand 7*g**3 + 3*g**3 - 3*g**3 + (0*g - 2*g + 0*g)*(-3*g**2 + 0*g**2 + g**2). 11*g**3 Expand (-l + 18 - l + 0*l)*(-5*l + 4*l + 0*l). 2*l**2 - 18*l Expand (5 - 2 - 1)*(-i**3 - i**3 + i**3)*(-i**2 + i**2 + 2*i**2). -4*i**5 Expand (3*r + 0*r - 2*r)*(-208 + 73*r**2 + 208). 73*r**3 Expand 72*w**2 + 1582 - 1582 + (w - 4*w + 4*w + (0 + 4 - 2)*(-1 + 1 + w) - w + 0*w + 3*w)*(1 - 1 - 2*w). 62*w**2 Expand -5*l + 12 - 12 + (-7 + 7 + 6*l)*(0 + 2 - 1). l Expand (1 - 3 - 2 - 2)*(-p + p - p). 6*p Expand (-1 - 3 + 3)*(-4 + 2*s + 4)*(3*s - 7*s + s). 6*s**2 Expand ((2 - j - 2)*(0*j - 4*j + 3*j) + 5*j**2 - 2*j**2 - 2*j**2)*(0*j - 3*j + 5*j). 4*j**3 Expand 7*c**3 - 8*c**5 - 7*c**3 + c + 0*c**5 + 0*c**5 + c**5 - 4*c**5 + 2*c**5 + 4*c**5 + (1 - c - 1)*(-c**4 + c - c) + c - c + 2*c**5. -2*c**5 + c Expand 1 - 1 + k + (0*k - 2*k + 4*k)*(2 - 2 + 2) + 11*k + 3*k + 5*k + (2*k - 2 + 2)*(3 + 1 - 5). 22*k Expand b**2 - 2*b**2 - 2*b**2 + (-b + 6*b - 3*b)*(2*b + 3 - 3) - 3*b**2 + 19*b**2 + 6*b**2. 23*b**2 Expand 2*n**3 + 0*n**3 - n**3 + (4 - 1 - 2)*(3 + n**3 - 3) - 4*n**3 - 2*n + 2*n + n**2 - n**2 - n**3. -3*n**3 Expand (59*l**2 - 27*l**2 - 32*l**2 - 23*l**3)*(-l**2 + 0 + 0). 23*l**5 Expand (5 + 0 - 1)*(-3*q**5 + 4*q + 4*q**5 - 2*q**5). -4*q**5 + 16*q Expand (5*s - 5*s + 5*s)*(0*s + 7*s - s). 30*s**2 Expand (-4 + 5 + 1)*(-91*g + 211*g + 102*g). 444*g Expand (-5*c**4 - 3*c**4 + 2*c**4)*(-c + c + c) - 2*c**5 + c**3 - c**3. -8*c**5 Expand (6 - 6 + v)*(2*v + 5*v - 6*v) + (-4 - 2*v + 4)*(-2*v + 0 + 0). 5*v**2 Expand (0*m + 4*m - 6*m)*(-4 + 1 + 8)*(m + 3*m + 2*m). -60*m**2 Expand (-2 + 2 - 2*d)*(d + d - 4*d) - 2*d**2 + 1 - 1 - 8 - 1 - 3*d**2 + 5*d**2. 4*d**2 - 9 Expand (-l**4 + l**4 - 2*l**4)*(1 + 4 - 6)*(2 - 3 + 0). -2*l**4 Expand -3*t + 2*t - t + (-6 + 4 + 0)*(5*t - 3*t - 4*t) + (-3 - 2 + 3)*(4*t - 3*t + 0*t) + 4 + t - 4. t Expand (-2*m + 0*m - 2*m)*(-3*m**2 + m**3 + 3*m**2). -4*m**4 Expand (-2*s**5 + 3*s**3 - 3*s**3)*(-4 + 2 + 1) + 11*s**3 - 9*s**3 - 12*s**3 + 4*s**5. 6*s**5 - 10*s**3 Expand 3*i**3 - 4*i**3 + 0*i**3 + (18 - 18 + 18*i)*(3*i**2 - 2*i**2 + i**2) - i**3 + 3*i**3 - 4*i**3 + 3*i**3 - 2*i**3 + 0*i**3. 34*i**3 Expand (-4*y + 2*y + y)*(-6*y + y + 3*y) + 2*y**2 - 1 + 7*y**2 - 8*y**2. 3*y**2 - 1 Expand 3*b - 3*b - b**4 + (-b + b**3 + b)*(0*b + 0*b + 3*b). 2*b**4 Expand 6*c**4 + 0*c**4 - 4*c**4 + (2*c**4 + c**4 - 4*c**4)*(0 + 2 + 3). -3*c**4 Expand (1 + 6*g - 1)*(1 - 12*g**2 + g + g + 13*g**2). 6*g**3 + 12*g**2 + 6*g Expand (2*z - 3*z + 2*z)*(4 - 3 + 0)*(1 - 1 - 2)*(-z + 3 - 3). 2*z**2 Expand -i**2 + i**2 + 2*i**2 + 3*i**2 + i**2 - 2*i**2 + (-2 + 2 - 2*i)*(-2*i - 2*i + i). 10*i**2 Expand 2*c - 2*c - c**3 + (-38 + 4*c + 38)*(0 - 2*c**2 + 0). -9*c**3 Expand 0*a**2 + 5*a**2 - 3*a**2 + (0 + 0 + 2*a)*(-2*a + a - a) + 16*a**2 - 13*a**2 + 20*a**2. 21*a**2 Expand (2*n**3 + 2*n**2 - 2*n**2)*((2 + n - 2)*(5*n - n - 2*n) - 621*n - 1 + 2*n**2 + 621*n). 8*n**5 - 2*n**3 Expand (-2*z**4 + 3*z**4 - 5*z**4)*(-9 - 3 + 1)*(z - z - z). -44*z**5 Expand (-z**2 - 2*z**2 + z**2)*(2*z + 2*z + 0*z)*(2*z**2 - z**2 - 2*z**2)*(1 - 1 + 5). 40*z**5 Expand (-5*b**2 - 3*b**3 + 5*b**2 + (-6*b**2 + 2*b**2 + b**2)*(6*b - 4*b - 4*b))*(-2 + 2 + 1). 3*b**3 Expand 5*z**5 + 0*z**5 - z**5 + (-z - 2*z + 4*z)*(z**4 + 3*z**4 - 3*z**4) - 1 + z**5 + 1 + 2*z**2 - 2*z**2 - z**5 - 6*z**5 + 12*z**5 + 9*z**5. 20*z**5 Expand (-4 + 2 - 2 + 2 - 2 - 1 + (-2 + 1 + 0)*(1 - 3 + 0) + 0 - 4 + 2 - 3 - 2 + 3)*(2*s + 0 + 0). -14*s Expand (0*l - l**2 + 0*l)*(-5 + 5 - 3*l**2) + l**4 + l**4 + 5*l**4. 10*l**4 Expand 5*x + 5*x + 16*x + x + 0*x - 3*x + (-3 + 3 - 2)*(-2*x + 2*x + x) + 2*x + 0*x - 4*x + x + 3*x - 2*x + x + 2 + x - x. 23*x + 2 Expand -1 + 1 + 5*p**3 + (-4*p**2 - p**2 + 3*p**2)*(-10*p - 30 + 30) + (4*p + 2*p - 4*p)*(-3*p + 3*p + p**2) - p**3 - 1 + 1. 26*p**3 Expand (-2*o**2 - 3*o + 3*o)*(3 - 4 + 2) + (0*o + o**2 + 0*o)*(0 - 3 + 2). -3*o**2 Expand (4*g**2 - 3*g**2 - 4*g**2)*(3*g - 3*g - 3*g**2) + 3*g**2 - 3*g**2 + g**4. 10*g**4 Expand b**3 + 2 - 2*b**3 - 3 + (5 - b**2 - 5)*(-b + 4*b + 2*b). -6*b**3 - 1 Expand (2 + 2 - 5)*(p - 29*p + 7*p + 3). 21*p - 3 Expand (-2*s + 3*s**2 + 2*s)*(3*s**2 - 6*s**2 + 5*s**2) + s**4 - 2*s**4 + 0*s**4 + ((2*s + 3*s - 3*s)*(0 - 4 + 6) + 3*s + 2*s - 3*s)*(-s**3 + 0*s + 0*s). -s**4 Expand (13*k - 5*k**3 - 13*k)*(6*k + 5 - 2*k - 4). -20*k**4 - 5*k**3 Expand (p**4 + 3*p**4 - 5*p**4 - p**4 + 0 + 0 + (-4*p**4 - 3*p**4 + 5*p**4)*(-2 - 1 + 1) + 4*p**3 + p**4 - 4*p**3 + p**3)*(0*p - 4*p + p). -9*p**5 - 3*p**4 Expand (-5 - p**2 + 5)*(p - p**3 - p) - 1 + 1 - 3*p**5 + p**5 + p**5 - 4*p**5. -4*p**5 Expand (4*o + 0*o + 6*o)*(0*o**2 + 4*o**2 - 2*o**2) + 1 - o**3 - 1 + (-3*o - 3*o + 5*o)*(-o**2 + 0*o**2 + 2*o**2) - 1 + 1 - 2*o**3 - 3*o**3 + o**3 + 0*o**3. 14*o**3 Expand (-3*f**3 + 2*f**3 + 3*f**3)*(1 - 8 - 10*f**2 + 6). -20*f**5 - 2*f**3 Expand (-2*h + h - h)*(2 - 2 - 1) + 3*h - 11 + 11 - h + h - h + (4 - 3 - 2)*(-2 + 2 - 2*h) - 3*h + 3*h + 2*h. 8*h Expand (-3*p**2 + 0*p**2 + p**2)*(16 - 15*p - 16). 30*p**3 Expand (0*a**2 + 3*a**2 - 6*a**2)*(2*a + 7 - 2 + 1). -6*a**3 - 18*a**2 Expand 6*q**3 - 5*q**3 - 2*q**3 + (3*q - 3*q**2 - 3*q)*(-q - 2 + 2). 2*q**3 Expand (0*x**2 + x**3 + 0*x**2)*(-2 - 3*x + 2) + 4*x**4 - 5*x**4 - x**4. -5*x**4 Expand 3*d**3 - 3*d**5 + 4*d**5 - d**3 + (d**5 - 4*d**5 + 5*d**5)*(1 - 3 + 0). -3*d**5 + 2*d**3 Expand (2*x - 3*x + 2*x)*(2*x**3 + x - x) + (2*x**3 + 0*x**3 + 0*x**3)*(-5*x + 2*x + x). -2*x**4 Expand (0 - i - 4 + 5)*(-1 + 3 - 1). -i + 1 Expand 50 - 50 + 7*h**2 + (2*h**2 - 3*h**2 + 3*h**2)*(0 - 5 + 3). 3*h**2 Expand (1 - 1 + 2*h)*(-3*h + 0*h - h) - 5 + 5 + 3*h**2 + 2*h**2 - 4 + 4. -3*h**2 Expand (-2*w**2 - 2*w**3 + 2*w**2)*(-11*w - 7*w + w). 34*w**4 Expand (2 - 3 - 2)*(9 + j - 9).
{ "pile_set_name": "DM Mathematics" }
12/1001 Calculate prob of sequence hyyi when four letters picked without replacement from dkyiddhdhdiyyhi. 3/1820 Two letters picked without replacement from {u: 3, k: 5, d: 1, g: 2, e: 1}. What is prob of sequence eg? 1/66 Two letters picked without replacement from {r: 1, v: 1, m: 4, l: 4, k: 1}. Give prob of sequence mv. 2/55 Two letters picked without replacement from {a: 1, i: 2, s: 8, r: 4, d: 2, x: 2}. Give prob of sequence xd. 2/171 Two letters picked without replacement from {p: 1, o: 1, w: 3, v: 3, j: 3}. What is prob of sequence jj? 3/55 What is prob of sequence xgx when three letters picked without replacement from nsxxg? 1/30 Calculate prob of sequence zrr when three letters picked without replacement from lzlqliilcrrr. 1/220 What is prob of sequence lu when two letters picked without replacement from luluuuuuuu? 8/45 What is prob of sequence jj when two letters picked without replacement from jjjj? 1 What is prob of sequence bn when two letters picked without replacement from {a: 1, s: 5, b: 7, o: 1, n: 1}? 1/30 What is prob of sequence fw when two letters picked without replacement from {f: 2, c: 6, w: 4}? 2/33 Four letters picked without replacement from vjvjvej. Give prob of sequence jvve. 3/140 Two letters picked without replacement from {n: 2, m: 7}. What is prob of sequence mn? 7/36 Two letters picked without replacement from psussupsupu. What is prob of sequence uu? 6/55 What is prob of sequence vjur when four letters picked without replacement from {v: 2, i: 2, u: 3, j: 1, r: 4, z: 3}? 1/1365 Three letters picked without replacement from {w: 2, c: 2, q: 2, a: 1, s: 4, g: 4}. What is prob of sequence csq? 8/1365 Calculate prob of sequence ffff when four letters picked without replacement from fffff. 1 Two letters picked without replacement from {d: 11, w: 4, q: 3}. Give prob of sequence qw. 2/51 Three letters picked without replacement from xmxxxxmxcxxcccxcxox. Give prob of sequence moc. 5/2907 Calculate prob of sequence rs when two letters picked without replacement from {m: 1, r: 1, j: 2, k: 1, c: 2, s: 2}. 1/36 What is prob of sequence drq when three letters picked without replacement from rgdqgdgqdqdqdggdg? 1/170 Calculate prob of sequence jnn when three letters picked without replacement from nfnjj. 1/15 Three letters picked without replacement from {z: 7, n: 1, v: 6, e: 1}. What is prob of sequence vev? 1/91 Two letters picked without replacement from xrhrrohlloroxrloor. Give prob of sequence hl. 1/51 What is prob of sequence ixf when three letters picked without replacement from fxi? 1/6 Two letters picked without replacement from {g: 1, m: 4, r: 2}. What is prob of sequence rg? 1/21 Two letters picked without replacement from {m: 9}. Give prob of sequence mm. 1 Three letters picked without replacement from {j: 4, s: 3, o: 12, g: 1}. What is prob of sequence gos? 1/190 Two letters picked without replacement from gooboooggyogo. What is prob of sequence yg? 1/39 What is prob of sequence dkk when three letters picked without replacement from kkdkdkkkkdd? 28/165 What is prob of sequence uuy when three letters picked without replacement from {y: 2, u: 2, i: 10}? 1/546 Four letters picked without replacement from hhhhhhhhh. Give prob of sequence hhhh. 1 Calculate prob of sequence pm when two letters picked without replacement from ppmffmffmmpmpp. 25/182 Three letters picked without replacement from {i: 1, t: 2}. What is prob of sequence tti? 1/3 Two letters picked without replacement from {n: 1, b: 3, c: 2, p: 2, k: 10, g: 1}. Give prob of sequence pg. 1/171 Calculate prob of sequence ug when two letters picked without replacement from {k: 1, g: 1, u: 1, l: 1, d: 1}. 1/20 Three letters picked without replacement from vvvvvovvvvvvvvvvvovv. What is prob of sequence ovo? 1/190 Three letters picked without replacement from {u: 2, n: 2, p: 3, c: 4}. What is prob of sequence nuu? 2/495 Two letters picked without replacement from {o: 13, h: 1, z: 3}. Give prob of sequence oh. 13/272 Calculate prob of sequence zwzt when four letters picked without replacement from ptpppwpzizpz. 1/1980 What is prob of sequence bg when two letters picked without replacement from {a: 1, u: 4, k: 3, b: 6, d: 1, g: 1}? 1/40 Three letters picked without replacement from {w: 1, r: 2, b: 1}. What is prob of sequence bbr? 0 What is prob of sequence ywy when three letters picked without replacement from guwwgwuguyyuuuu? 1/455 Calculate prob of sequence mvfe when four letters picked without replacement from vfkekevmd. 1/756 Calculate prob of sequence we when two letters picked without replacement from {w: 1, s: 2, m: 2, r: 2, e: 1}. 1/56 Three letters picked without replacement from {e: 2, o: 1, i: 1, p: 3}. Give prob of sequence ioo. 0 Calculate prob of sequence dddd when four letters picked without replacement from dddd. 1 Calculate prob of sequence bbe when three letters picked without replacement from ebb. 1/3 Three letters picked without replacement from uhhhhhhu. What is prob of sequence uhu? 1/28 Two letters picked without replacement from qcccjqjqvpeevvevpc. Give prob of sequence je. 1/51 What is prob of sequence hh when two letters picked without replacement from {h: 5, j: 9}? 10/91 What is prob of sequence xxmb when four letters picked without replacement from wxxxxbmbmmbxbwbbxxb? 49/5168 What is prob of sequence hbh when three letters picked without replacement from hhaahahabbabaaaahahb? 1/57 What is prob of sequence hh when two letters picked without replacement from {h: 9}? 1 What is prob of sequence oz when two letters picked without replacement from ioeieheooiz? 3/110 Calculate prob of sequence jc when two letters picked without replacement from {j: 1, c: 2, y: 2}. 1/10 What is prob of sequence nko when three letters picked without replacement from nyyyknnkyooyynnykyn? 2/323 Calculate prob of sequence jyj when three letters picked without replacement from {j: 15, y: 4}. 140/969 What is prob of sequence rmp when three letters picked without replacement from lrmmdph? 1/105 Calculate prob of sequence jl when two letters picked without replacement from lolololloolooj. 3/91 What is prob of sequence zaz when three letters picked without replacement from zzzazazzazazzazzaza? 154/969 Four letters picked without replacement from {r: 13, o: 3, e: 2}. Give prob of sequence oeee. 0 Two letters picked without replacement from kfkzzw. Give prob of sequence kz. 2/15 Calculate prob of sequence zx when two letters picked without replacement from {s: 1, m: 5, j: 8, x: 2, z: 3}. 1/57 Four letters picked without replacement from mbumuzmmzzu. Give prob of sequence zzzu. 1/440 Three letters picked without replacement from mrkmkmmrkorkm. Give prob of sequence mkr. 5/143 Two letters picked without replacement from {c: 3, t: 4}. Give prob of sequence tt. 2/7 Calculate prob of sequence snn when three letters picked without replacement from nsnsnnqssqns. 5/66 Calculate prob of sequence bo when two letters picked without replacement from {b: 10, o: 4}. 20/91 What is prob of sequence oiid when four letters picked without replacement from {b: 1, d: 2, i: 4, o: 1, k: 2}? 1/210 Calculate prob of sequence noo when three letters picked without replacement from oonfnar. 2/105 Two letters picked without replacement from llxrxxlxllllxxl. Give prob of sequence xl. 8/35 Three letters picked without replacement from {k: 5, u: 6, e: 2, p: 1, h: 5, a: 1}. What is prob of sequence hkk? 5/342 Three letters picked without replacement from {c: 2, n: 8}. Give prob of sequence nnn. 7/15 Calculate prob of sequence fu when two letters picked without replacement from {b: 2, u: 4, k: 1, f: 7}. 2/13 Two letters picked without replacement from {m: 2, w: 1, j: 1}. Give prob of sequence wj. 1/12 Three letters picked without replacement from {l: 2, n: 4, j: 2, q: 6, t: 3, b: 1}. Give prob of sequence tnl. 1/204 Two letters picked without replacement from uwuvuvvvuuv. What is prob of sequence vw? 1/22 Four letters picked without replacement from xkrkkkrrzkzkkkkzkkz. Give prob of sequence xkrr. 11/15504 Calculate prob of sequence zwz when three letters picked without replacement from wzzwwwwzzwwzzwwzzzw. 40/323 Calculate prob of sequence tlpe when four letters picked without replacement from tt
{ "pile_set_name": "DM Mathematics" }
**2 + f + 501. Let q be g(0). Is 30 a factor of q/6 - (-1)/(-2)? False Suppose 14 = 4*j - 2*h, 3*j - 4*h = 17 - 4. Suppose j*m - 3 - 60 = 0. Suppose -y + m = 2*y. Does 3 divide y? False Is ((-114)/(-9))/((-1)/(-3)) a multiple of 10? False Let b = -16 - -22. Let x = b - 4. Suppose 0 = -2*w + 2, 2*s - 3*s - x*w + 12 = 0. Does 9 divide s? False Let j be ((-30)/4)/(1/(-2)). Does 4 divide 1*(j + -4 + 2)? False Is 14 a factor of 25 + (3 + 1 - 1)? True Suppose -5*s - 133 = -3*f - 9*s, 0 = -f - s + 46. Is 17 a factor of f? True Let p(n) = -n**2 - 4*n - 2. Let g be p(-2). Suppose 0 = 2*j + g*j + 328. Let k = 116 + j. Does 14 divide k? False Suppose 2 + 1 = m. Suppose m*f - 11 = -5. Is f a multiple of 2? True Does 32 divide (-506)/(-8) + (-39)/(-52)? True Suppose 0*o = o + 1. Let t be o + 208 + (2 - 1). Suppose -205 = -5*v - 3*n + 8*n, -5*v + t = -2*n. Is v a multiple of 16? False Let d(l) = l - 13. Let i be d(7). Let g = 13 + i. Is g a multiple of 2? False Suppose -5*y = -10*y + 90. Does 13 divide 896/y + 2/9? False Suppose 0 = m + 49 + 14. Let a = 114 + m. Is 17 a factor of a? True Let l(p) = 7*p**2 + 58*p + 12. Is 39 a factor of l(-12)? False Let s(u) = -u**3 - 9*u**2 - u + 13. Is 6 a factor of s(-9)? False Let a be (-3 - -1)/(2/(-4)). Does 17 divide (-70 + 8/a)/(-1)? True Let p(m) = 29*m - 3. Let a be p(4). Let x = 175 - a. Does 12 divide x? False Suppose 18*b - 15*b + 18 = 0. Let c = 0 - b. Does 6 divide c? True Let g(m) = 9*m**3 + 2*m**2 + 5. Let o(a) = a**3 + 1. Let h(z) = -g(z) + 6*o(z). Let j be h(-1). Is 15 a factor of j/4*43*2? False Let x be 1/2*2*4. Suppose m - 379 - 32 = -3*v, 2*v - x*m = 260. Suppose 0 = -4*i + v + 8. Does 14 divide i? False Suppose 92 = -2*a + 2*v + 524, -a + 218 = -3*v. Is 66 a factor of a? False Suppose -1 = -3*k + 5. Let p = k + 4. Let o = p + 13. Does 16 divide o? False Suppose 0 = 3*h - 5*h + 322. Is h a multiple of 11? False Let n be 2/(-5) + (-214)/(-10). Suppose -4*i + 1 - n = 0. Let u(p) = -p**2 - 6*p + 7. Is 11 a factor of u(i)? False Suppose 0 = 5*b + 3*o + 44, -5*b - 26 = -3*o - 0*o. Let p = 15 + b. Does 8 divide p? True Suppose 2*v + 2*v - 12 = 0. Suppose -v*z - 17 = -56. Let m = 35 - z. Does 11 divide m? True Suppose 25 = n - 4*y, -2*n = -y + 3*y. Is 2 a factor of n? False Let t = 4 + 11. Is 3 a factor of t? True Suppose 0*g = 4*g - b - 18, 0 = -3*g - 2*b + 19. Suppose 0 = g*z - 10*z + 190. Is z a multiple of 19? True Let o(a) = -11*a. Let u be o(-7). Suppose -g = r - 30, 3*r = -g + u + 15. Is r a multiple of 13? False Let y = 8 + -6. Let a be 0 + (-4 - y - 2). Let q = a - -11. Does 2 divide q? False Suppose 23 = 5*f - 0*x - 3*x, 3*f - 14 = 2*x. Suppose 4*v - 47 = -5*b, 3*v - 2*b - f - 60 = 0. Does 9 divide v? True Let h(n) = -33*n**3 - n**2 + 2*n + 2. Is h(-1) a multiple of 21? False Let s(r) be the second derivative of -37*r**5/20 - r**4/12 + r**3/3 - r**2/2 + 4*r. Let n be s(1). Let x = n + 79. Does 14 divide x? True Let n = 4 + -3. Let c be 2/(1 - (-1 + n)). Suppose -5*y + 2*o - 5*o = -90, 4*y = -c*o + 70. Does 15 divide y? True Let i = 0 - 1. Let q(v) = v**3 - 4*v**2 - 5*v - 2. Let o be q(5). Is (-1)/((0 - i)/o) a multiple of 2? True Suppose -23*g = -24*g + 75. Is 23 a factor of g? False Let o(u) = 5*u**2 + 14*u + 31. Let l(i) = i**2 + 3*i + 6. Let d be -3 + 1 + 1 + -1. Let h(w) = d*o(w) + 11*l(w). Is h(-6) a multiple of 10? True Let l = 8 - 4. Suppose -l*r - 6 = 42. Does 2 divide 11/4 + (-3)/r? False Let t(u) = 7*u**3 - 14*u**2 + 5*u - 5. Let x(i) = -10*i**3 + 21*i**2 - 8*i + 8. Let f be 10*(2 + (-9)/6). Let m(n) = f*x(n) + 7*t(n). Does 8 divide m(6)? False Suppose -2*i + 0*i + 6 = 0. Suppose 0 = -5*o + o. Let x = o + i. Is 3 a factor of x? True Suppose 14*p + 894 = 20*p. Is 7 a factor of p? False Suppose 5*v + 4*c = 31, 4*v - 2 = -3*c + 22. Suppose -81 + 3 = -v*h. Is h a multiple of 6? False Let j = -56 + 97. Is 16 a factor of j? False Let m = 44 - -5. Does 12 divide m? False Suppose 0 = -k - 22 + 64. Is 14 a factor of k? True Let r(d) = -d. Let t be r(0). Let s(n) = t - 3 - 4 - 4*n. Is s(-7) a multiple of 14? False Let t(x) = x**3 + 7*x**2 - 11*x - 12. Let s be t(-8). Does 8 divide ((-36)/(-15))/(s/40)? True Let p be 2/(-5) + (-126)/(-15). Is (-6)/p*(-6 + -6) a multiple of 6? False Let w be (67/4)/((-2)/(-8)). Suppose 5*c = w + 13. Is c a multiple of 16? True Let h(m) = 5*m**2 - 1. Is 14 a factor of h(-3)? False Let m be 4/(8/(-116)*-1). Suppose 3*n + x = 3*x + 119, 2*n + 4*x - m = 0. Is n a multiple of 7? False Let g(b) = -11*b + 2. Suppose -4*i + 2*i = 0. Let z = i - 2. Does 12 divide g(z)? True Let t be ((-90)/27)/((-4)/6). Let v(c) = 4 - 5*c + 4*c + 5. Is v(t) a multiple of 4? True Suppose -t + 4 - 1 = 0. Is -3 + t + (-16)/(-2) a multiple of 3? False Let p(g) be the first derivative of g**4/2 - 4*g**3/3 + g**2/2 + 2*g + 3. Is p(2) a multiple of 2? True Let s(l) be the first derivative of -l**4/4 + 2*l**3 + 9*l**2/2 + 4*l - 3. Is s(7) a multiple of 12? False Let u be (5/(-10))/(1/20). Let x = 17 + u. Is x a multiple of 3? False Is 28 a factor of (122/6 + -1)/(72/324)? False Let c = 34 - 20. Let j = 32 + c. Is 23 a factor of j? True Let b(v) = 3*v**3 - 10*v**2 + 4*v - 8. Is b(4) a multiple of 5? True Does 5 divide -1 + 63 + 6 + -9? False Let y(r) = 12*r. Let k(z) = 13*z. Let t(x) = -2*k(x) + 3*y(x). Let l be -1 + 3 - -1*1. Does 14 divide t(l)? False Suppose 3*z + 0*n - 60 = n, -20 = -z - 4*n. Is 10 a factor of z? True Let s be 2/3 + 14/(-3). Let k(b) = -b**2 - 2*b + 2. Let i be k(s). Let p = i - -11. Is p a multiple of 2? False Suppose 2*u + 3*u - 2*x - 185 = 0, -5*u - 5*x = -150. Is u a multiple of 9? False Suppose 2*g - 55 = -17. Let l = -5 + g. Is 5 a factor of l? False Suppose 0 = 4*w + 4 - 8, -5*w = -3*m + 289. Is 19 a factor of m? False Let y(c) = c - 10. Let p be y(8). Let o = -4 - p. Let i = o + 7. Is i a multiple of 4? False Suppose 3*f = 32 + 1. Suppose -3*r + 34 = -2*r. Suppose -r = -v - f. Does 14 divide v? False Let a = -53 + 99. Does 23 divide a? True Suppose 2 - 10 = -4*w. Let p be (-2 - -2)*(-1)/w. Suppose p = r - 2*r + 10. Does 5 divide r? True Let d(r) = 2*r - 12. Let m be d(8). Suppose m*s + 11 = c, 2*c - s = 5 + 3. Suppose -13 = -c*n - 4. Does 2 divide n? False Let y be ((-5)/4)/((-4)/128). Let r = -28 + y. Is r a multiple of 12? True Suppose 49 + 47 = -2*p. Let a = -73 - 0. Let u = p - a. Is u a multiple of 19? False Suppose 2*b - 3 = o, 2*o = 6*o - 5*b. Let t = 7 + o. Is 6 a factor of t? True Let z(f) = -f**2 - 7*f + 10. Let o be ((-20)/(-6))/(4/6). Suppose 17 = -o*d - 18. Is z(d) a multiple of 10? True Let u(n) = n**3 + 5*n**2 - 6*n - 3. Let l be u(-6). Let z(g) = -10*g + 1. Does 7 divide z(l)? False Let i = -32 + 72. Let g be i/12*117/2. Suppose 0 = 5*u + m - g, 115 = 3*u + m - 0*m. Is 12 a factor of u? False Suppose h = 4*h + 5*b - 43, h = -2*b + 16. Suppose 0 = h*m - 3*m + 84. Let z = m - -47. Does 16 divide z? False Suppose 104 = 69*c - 65*c. Is c a multiple of 8? False Let i = -8 + 14. Does 7 divide 116/i - 1/3? False Let a = 24 - 21. Let h be 92/6 + (-2)/6. Suppose -h = -3*u - a. Is 4 a factor of u? True Let k = 328 - 212. Is k a multiple of 13? False Suppose -u + 0*u = 0. Suppose -4*b + u*b = -44. Does 3 divide b? False Let n be -126*((-21)/6 + 2). Let z = -449 + n. Does 3 divide z/(-28) + 2/(-7)? True Suppose 0 = 4*w - 26 + 10. Suppose -w*i - 112 = 60. Let c = -26 - i. Is c a multiple of 17? True Suppose 2*g - 3*s - 67 = 0, g - 21 = 2*s + 13. Is 32 a factor of g? True Suppose 4*h - d = 3*d + 28, -3*d + 15 = 0. Is h a multiple of 12? True Let t = -4 - -6. Suppose -3*d - 2*h + 31 = 0, 3*d + h = -0*d + 32. Suppose -3*f - 31 = -t*l, 3*l + d*f = 6*f + 18. Is 6 a factor of l? False Let y(v) = -v + 27 - v**2 - 24 + 13*v. Is 15 a factor of y(9)? True Let i be (-24)/(2 + (-33)/12). Let u = 4 - 2. Suppose -5*h - u = -i. Does 3 divide h? True Let u(l) = 13*l - 2. Suppose -4 = -p - 3. Let o = p - -1. Does 12 divide u(o)? True Let k be (1/3)/(1/9). Suppose k*w - 2*w - 4 = 0. Let p = 9 - w. Is p even? False Let a = -2 - -2. Suppose 0*m + 5*m = 5, a = -4*o + 4*m + 20. Does 2 divide o? True Let c be 1140/(-27) + 6/27. Let i be 12/c + (-32)/(-14). Suppose i*f = 2 + 2. Does 2 divide f? True Let d(n) = n**2 - 7*n - 17. Let a be d(8). Suppose 4*v = 2*f - 102, -2*f + 3*f + 57 = -2*v
{ "pile_set_name": "DM Mathematics" }
254804576, -509609151, -764413726? -1019218301 What comes next: -984220, -1968446, -2952678, -3936916, -4921160, -5905410? -6889666 What is next in 38362, 76761, 115198, 153685, 192234? 230857 What is next in 53556, 52949, 52342, 51735, 51128, 50521? 49914 What comes next: 144938, 289845, 434758, 579677, 724602, 869533, 1014470? 1159413 What is the next term in -24631, -48516, -72401, -96286, -120171? -144056 What is next in -1505, -1828, -2373, -3140, -4129? -5340 What is next in -26214097, -26214099, -26214101, -26214103, -26214105, -26214107? -26214109 What comes next: -10357, -21672, -32959, -44212, -55425, -66592? -77707 What comes next: -163637, -1309322, -4419025, -10474754, -20458517, -35352322? -56138177 What comes next: 464, 3354, 8672, 16418, 26592? 39194 What is next in -5634725, -5634729, -5634729, -5634719, -5634693, -5634645, -5634569? -5634459 What is the next term in 64531, 115367, 166203? 217039 What comes next: 50551, 202122, 454725, 808360, 1263027? 1818726 What is the next term in -719, -5259, -17527, -41387, -80703, -139339? 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-13504244 What is the next term in 743, 3948, 9611, 17732, 28311, 41348? 56843 What is next in 305320, 610673, 916036, 1221415, 1526816, 1832245? 2137708 What comes next: -31756, -63505, -95232, -126937, -158620? -190281 What comes next: -278514, -1114064, -2506650, -4456272, -6962930, -10026624, -13647354? -17825120 What comes next: 11183, 12286, 14099, 16610, 19807, 23678? 28211 What comes next: -200, -881, -2024, -3623, -5672, -8165, -11096, -14459? -18248 What is the next term in 1695240, 1695339, 1695438, 1695537, 1695636? 1695735 What comes next: -73403891, -146807790, -220211687, -293615582? -367019475 What is the next term in 78927, 78930, 78941, 78966, 79011, 79082, 79185, 79326? 79511 What is the next term in -14116656, -14116671, -14116686? -14116701 What is the next term in -102215, -63294, 1575, 92392? 209157 What is the next term in -9463, -18997, -28613, -38311, -48091? -57953 What comes next: 15639, 31822, 48005, 64188, 80371? 96554 What is the next term in 85565, 171137, 256709, 342281? 427853 What comes next: 352851188, 352851187, 352851186? 352851185 What is next in 15976124, 31952233, 47928344, 63904457, 79880572, 95856689, 111832808? 127808929 What comes next: -428, -723, -916, -1007? -996 What is the next term in -1915924, -3831848, -5747786, -7663744, -9579728, -11495744, -13411798? -15327896 What comes next: 84069, 84043, 84017? 83991 What is the next term in 3188, 3291, 3454, 3677? 3960 What is the next term in -269396, -269312, -269226, -269138? -269048 What is next in -728, -1801, -3236, -5027, -7168, -9653, -12476? -15631 What is next in 88303666, 88303668, 88303670, 88303672? 88303674 What is the next term in -247704, -990790, -2229264, -3963126, -6192376, -8917014, -12137040? -15852454 What is the next term in 1511, 4798, 9861, 16700? 25315 What is the next term in 176540, 353077, 529614, 706151, 882688, 1059225? 1235762 What comes next: -28197301, -28197302, -28197303, -28197304, -28197305? -28197306 What is next in 17222, 31383, 45544? 59705 What is next in -11679245, -11679216, -11679187, -11679158, -11679129, -11679100? 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37772428 What is the next term in -2196, -4747, -7660, -10935, -14572, -18571? -22932 What comes next: 1735152, 1735129, 1735104, 1735077, 1735048? 1735017 What comes next: 7350, 7987, 8622, 9255, 9886? 10515 What comes next: -227, -716, -1473, -2450, -3599? -4872 What is the next term in 766269, 766278, 766289, 766302, 766317, 766334, 766353? 766374 What comes next: -25828, -52983, -80138, -107293, -134448? -161603 What is the next term in 46801, 48654, 50505, 52354, 54201, 56046, 57889? 59730 What comes next: -241341177, -241341176, -241341175, -241341174, -241341173, -241341172? -241341171 What comes next: -29479, -29485, -29495, -29509? -29527 What is next in -39223, -78362, -117423, -156406? -195311 What is next in -388856, -388808, -388760, -388712, -388664? -388616 What is the next term in 6619690, 13239380, 19859070? 26478760 What is the next term in 71459, 142914, 214357, 285782, 357183, 428554, 499889, 571182? 642427 What is next in 754, 517, -34, -1055, -2702? -5131 What is next in 23548, 47451, 71356, 95263, 119172? 143083 What comes next: -234535, -234597, -234659, -234721, -234783, -234845? -234907 What is the next term in -19043636, -38087252, -57130868, -76174484, -95218100? -114261716 What is next in -11542, -15826, -20110, -24394? -28678 What is the next term in -10672, -20779, -30322, -39301, -47716, -55567? -62854 What is the next term in 8529, 14901, 21275, 27651, 34029? 40409 What is the next term in 419428, 839339, 1259250, 1679161, 2099072? 2518983 What is the next term in 452086, 904188, 1356288, 1808386, 2260482, 2712576? 3164668 What comes next: 7072, 7248, 7546, 7966, 8508? 9172 What is the next term in -12185, -15539, -18893, -22247, -25601, -28955? -32309 What is next in 308060, 308207, 308450, 308789, 309224, 309755? 310382 What is the next term in 40847, 39096, 37357, 35636, 33939, 32272, 30641? 29052 What is the next term in -54264667, -108529338, -162794011, -217058686? -271323363 What is the next term in 475446, 1901754, 4278926, 7606962, 11885862, 17115626, 23296254? 30427746 What comes next: 1972494, 3945159, 5917824, 7890489? 9863154 What is the next term in -690957, -690938, -690893, -690810, -690677, -690482? -690213 What is next in -2033, -3943, -5853, -7763, -9673, -11583? -13493 What comes next: -23732, -34134, -44536, -54938, -65340, -75742? -86144 What comes next: 168492, 168901, 169310, 169719, 170128? 170537 What is the next term in -86276, -86125, -85990, -85871, -85768? -85681 What is next in 34321, 68636, 102955, 137278, 171605, 205936? 240271 What is the next term in 74021, 73990, 73959, 73928, 73897, 73866? 73835 What is the next term in 312999, 313199, 313399, 313599? 313799 What is the next term in 4463596, 4463598, 4463598, 4463596? 4463592 What is the next term in 53830199, 53830207, 53830215, 53830223, 53830231? 53830239 What comes next: 250116, 249591, 249066? 248541 What comes next: 7934, 15897, 23882, 31889, 39918? 47969 What is the next
{ "pile_set_name": "DM Mathematics" }
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3 What is 46631 to the power of 1/3, to the nearest integer? 36 What is the third root of 2199 to the nearest integer? 13 What is the third root of 9629 to the nearest integer? 21 What is 40713 to the power of 1/8, to the nearest integer? 4 What is the cube root of 489 to the nearest integer? 8 What is the square root of 850 to the nearest integer? 29 What is the fifth root of 235 to the nearest integer? 3 What is 71529 to the power of 1/2, to the nearest integer? 267 What is the eighth root of 100135 to the nearest integer? 4 What is the square root of 1339 to the nearest integer? 37 What is 1147 to the power of 1/2, to the nearest integer? 34 What is the square root of 27655 to the nearest integer? 166 What is 113549 to the power of 1/3, to the nearest integer? 48 What is 24961 to the power of 1/8, to the nearest integer? 4 What is 10862 to the power of 1/4, to the nearest integer? 10 What is the square root of 1713 to the nearest integer? 41 What is 6389 to the power of 1/6, to the nearest integer? 4 What is the third root of 4645 to the nearest integer? 17 What is the third root of 7838 to the nearest integer? 20 What is the third root of 15027 to the nearest integer? 25 What is the tenth root of 11340 to the nearest integer? 3 What is 3327 to the power of 1/7, to the nearest integer? 3 What is the square root of 1560 to the nearest integer? 39 What is the fourth root of 8199 to the nearest integer? 10 What is 30892 to the power of 1/2, to the nearest integer? 176 What is 1512 to the power of 1/4, to the nearest integer? 6 What is 45859 to the power of 1/3, to the nearest integer? 36 What is 10796 to the power of 1/3, to the nearest integer? 22 What is 182 to the power of 1/3, to the nearest integer? 6 What is the third root of 25991 to the nearest integer? 30 What is the third root of 2506 to the nearest integer? 14 What is 1010 to the power of 1/2, to the nearest integer? 32 What is 7794 to the power of 1/2, to the nearest integer? 88 What is 10548 to the power of 1/3, to the nearest integer? 22 What is the third root of 4382 to the nearest integer? 16 What is the eighth root of 293 to the nearest integer? 2 What is 9785 to the power of 1/8, to the nearest integer? 3 What is the seventh root of 144 to the nearest integer? 2 What is the third root of 1300 to the nearest integer? 11 What is 22708 to the power of 1/2, to the nearest integer? 151 What is the fourth root of 167146 to the nearest integer? 20 What is the square root of 277 to the nearest integer? 17 What is the sixth root of 9659 to the nearest integer? 5 What is the square root of 26303 to the nearest integer? 162 What is the square root of 805 to the nearest integer? 28 What is the cube root of 53044 to the nearest integer? 38 What is the eighth root of 425 to the nearest integer? 2 What is the fourth root of 113 to the nearest integer? 3 What is the cube root of 841 to the nearest integer? 9 What is the cube root of 107 to the nearest integer? 5 What is the third root of 2973 to the nearest integer? 14 What is 34338 to the power of 1/2, to the nearest integer? 185 What is the ninth root of 4617 to the nearest integer? 3 What is the fourth root of 358 to the nearest integer? 4 What is the tenth root of 11525 to the nearest integer? 3 What is the sixth root of 81365 to the nearest integer? 7 What is the third root of 26504 to the nearest integer? 30 What is the ninth root of 6419 to the nearest integer? 3 What is the cube root of 10807 to the nearest integer? 22 What is 12252 to the power of 1/2, to the nearest integer? 111 What is the square root of 120776 to the nearest integer? 348 What is the ninth root of 10256 to the nearest integer? 3 What is 43849 to the power of 1/2, to the nearest integer? 209 What is the fifth root of 4642 to the nearest integer? 5 What is the third root of 35832 to the nearest integer? 33 What is the third root of 53690 to the nearest integer? 38 What is the square root of 5157 to the nearest integer? 72 What is the square root of 5930 to the nearest integer? 77 What is 77701 to the power of 1/2, to the nearest integer? 279 What is the third root of 4434 to the nearest integer? 16 What is the fourth root of 45900 to the nearest integer? 15 What is 4974 to the power of 1/3, to the nearest integer? 17 What is the square root of 375 to the nearest integer? 19 What is the tenth root of 4694 to the nearest integer? 2 What is 3183 to the power of 1/2, to the nearest integer? 56 What is 56681 to the power of 1/3, to the nearest integer? 38 What is 7588 to the power of 1/2, to the nearest integer? 87 What is the square root of 20200 to the nearest integer? 142 What is 860 to the power of 1/2, to the nearest integer? 29 What is the eighth root of 77803 to the nearest integer? 4 What is the third root of 1287 to the nearest integer? 11 What is the ninth root of 8084 to the nearest integer? 3 What is the third root of 2776 to the nearest integer? 14 What is 6296 to the power of 1/3, to the nearest integer? 18 What is the cube root of 1652 to the nearest integer? 12 What is the cube root of 76560 to the nearest integer? 42 What is 56125 to the power of 1/3, to the nearest integer? 38 What is the third root of 2309 to the nearest integer? 13 What is the cube root of 672 to the nearest integer? 9 What is the sixth root of 2806 to the nearest integer? 4 What is 27224 to the power of 1/2, to the nearest integer? 165 What is 78 to the power of 1/6, to the nearest integer? 2 What is 2789 to the power of 1/5, to the nearest integer? 5 What is the square root of 67178 to the nearest integer? 259 What is the cube root of 4183 to the nearest integer? 16 What is the fifth root of 5134 to the nearest integer? 6 What is the square root of 4453 to the nearest integer? 67 What is the eighth root of 31325 to the nearest integer? 4 What is the cube root of 8285 to the nearest integer? 20 What is the eighth root of 1889 to the nearest integer? 3 What is the seventh root of 8211 to the nearest integer? 4 What is 7035 to the power of 1/3, to the nearest integer? 19 What is the fourth root of 6667 to the nearest integer? 9 What is the tenth root of 2500 to the nearest integer? 2 What
{ "pile_set_name": "DM Mathematics" }
t q = -0.1 - -0.04. Let h = d + q. What is the second biggest value in 1/3, h, -0.4? h Let k be (1/(-3))/(10*9/135). Which is the second smallest value? (a) -1 (b) k (c) 1/3 b Let m = -1288982/15 - -86167. Let j = 235 - m. Which is the second smallest value? (a) 7 (b) -0.2 (c) j c Let u = -0.0186 - -0.2186. Which is the biggest value? (a) u (b) 10 (c) 0.5 (d) -0.8 b Suppose 6*x + 3 = 27. Let m be 5 - x - (1 - -4). What is the fourth biggest value in 4, m, 2/3, -1? m Let w = -504 - -506. Let j(o) = o**2 - 7*o + 7. Let k be j(6). Let g = 1.3 - 2. Which is the third biggest value? (a) w (b) g (c) k b Let q = 14.77 - 15.17. Which is the second biggest value? (a) -3 (b) 0.4 (c) -2/2259 (d) q c Let y = 107 - 305. Let q = y + 206.9. Let g = q - 9. Which is the third biggest value? (a) 1 (b) 3 (c) g c Let m = -18 - -13. Let p be (-3 + -2 - -4)*5. Let o be (1 + 6/(-3))*p. Which is the third biggest value? (a) m (b) o (c) 0.1 a Let d = -13954/5 - -2800. Let o be (-1)/8 - 1134/120. Let m = o + d. Which is the second smallest value? (a) m (b) -2/11 (c) 2 b Let w = -433.15 + 433. Let v = -17 - -12. Which is the third smallest value? (a) v (b) -1/2 (c) w c Let y be (-8)/7*(-77)/198. What is the second biggest value in y, 17, 4/7? 4/7 Let f = 494 - 487. What is the second biggest value in -1, 5/6, f, 2/11? 5/6 Let r be (-15)/40 - 6535/(-40). What is the second biggest value in r, 3, 5? 5 Let h = -0.263 + 0.203. What is the second smallest value in 5, 0.2, h? 0.2 Let g = 48.1 + -46.1. Let p = 0.39 - -0.01. What is the third smallest value in -5, p, g? g Let j = 0.04 + -4.94. Let r = j + -6.1. Which is the second smallest value? (a) -3 (b) r (c) -4 c Let g be (-10)/36 + 4/8. Let y be 45/(-100) + 1/4. Which is the third smallest value? (a) g (b) -4/7 (c) y a Suppose 1222*x + 12 = 1218*x. Which is the fourth smallest value? (a) -12.2 (b) x (c) -0.1 (d) -4 c Suppose 4 = -x + 6. Suppose -r - 7 = 3*r - h, x*r = -3*h - 21. Which is the smallest value? (a) -4 (b) r (c) -2/9 a Let p = 0.6 - 0.57. Let y = p - 0.53. Suppose 0 = 2*n - 0*n. What is the third biggest value in y, 0.5, n? y Let h be (-18)/10 + 2 - 1. Let q = -0.09 - -9.09. Which is the second biggest value? (a) 0 (b) q (c) h a Let t = -925.7 + 926. Let i = 11 + -12. What is the biggest value in 0, i, 4, t? 4 Suppose 40 = -8*h + 18*h. Let j be 4/(-12)*(2 - 1). What is the third smallest value in h, j, -1/8? h Let o = 101.3 + -7.3. What is the smallest value in o, 0.4, -4? -4 Suppose 3 = 2*s - r - 3, -3*s - r = -9. Suppose -13 - s = 8*g. Which is the second biggest value? (a) 3/4 (b) 4 (c) g a Let q = 221.2 - 222. Let w = 13 + -14.2. Let p = q + w. What is the smallest value in -0.1, p, 1/2? p Let g = 19067/92017 + -1/3173. Let x = g + -88/145. Suppose 123*w - 4 = 121*w. What is the biggest value in 5, x, w? 5 Let o be ((-2)/(-8))/(4 + -3). Which is the second smallest value? (a) 0 (b) o (c) 5 (d) -2/7 a Suppose 0 = -4*o, 0 = -2*a + 4*o - 0*o. Suppose 4*n + 12 = -a*n. What is the second biggest value in n, 3, -4? n Let q = 3.1 + -34.1. Let w = q + 33. Which is the third smallest value? (a) 5 (b) 0 (c) w a Suppose -3*k - 9 - 6 = 0. Let o = 0 - k. Let d = 21 + -17. What is the third smallest value in -0.3, o, d? o Let l be 1/5 + 1 + 0. Let g = -4.4 + 4. Let r = 7 + -31/4. Which is the smallest value? (a) r (b) g (c) l a Let u = -1/94 - 179/846. Let a = -50.1 - -50. What is the second smallest value in a, u, 0.5? a Suppose -8*a - 3 = -11*a. What is the third biggest value in 0.2, -1/2, a? -1/2 Let o = 16432/5 - 3201. Let u = -85 + o. What is the third smallest value in 3, u, -5? 3 Suppose 8*c - 7 = 1. Let x be (-2)/((-3)/((2 - 3)/c)). What is the third smallest value in x, -0.08, -0.1? -0.08 Let k = 455 - 450. What is the second biggest value in k, -9/7, -2? -9/7 Let s be ((-1941)/(-396))/((-6)/(-16)). Let h = s + -116/9. Let p be (-12)/(-2)*(-26)/546. Which is the biggest value? (a) p (b) h (c) -3/2 b Let f = 1.9 - 2.1. Let r = -218 - -1532/7. Which is the fourth smallest value? (a) f (b) r (c) 4 (d) -0.1 c Let g = -6 - -1. Let x = -0.01 - -0.01. Let v = -2 + x. What is the third smallest value in v, g, -0.2? -0.2 Let q = 329/4 + -80. What is the smallest value in -2/15, 2/5, q, 1? -2/15 Let r be (1/((-15)/2))/(5/30). Which is the second smallest value? (a) -0.13 (b) -1 (c) r c Let r = 46 - 48. Let v = r + -1. What is the second smallest value in -0.5, -4, -0.2, v? v Let m = 0.85 - 1.25. Let t be (-18)/70 + (-2)/(-5). Let n = -55 - -167/3. Which is the smallest value? (a) t (b) m (c) n b Let d = 96.974 + -97. Let w = d - -0.426. Which is the biggest value? (a) 4/5 (b) -2 (c) w a Let x(k) = k**2 + 15*k - 4. Let q be x(-15). What is the third smallest value in q, -2, 0.5? 0.5 Let k = -26.262 - -5.262. Let d = 0.4 - 0.7. What is the second biggest value in k, 0.5, d? d Let y = 1.734 + 5.266. Which is the biggest value? (a) 1/3 (b) -0.09 (c) y c Let o = 3.5 - 3. Suppose -5*j = -4*n - 11, n + 2 = j + j. Let d(s) = s + 2. Let m be d(n). Which is the biggest value? (a) m (b) o (c) -4 b Let x = -70 - -67. Let z be (-2 - 0)/((-4)/2). Let l be (z/(-7))/((-1)/x). Which is the smallest value? (a) 5 (b) 2 (c) l c Let a = 994/45 + -206/9. What is the second smallest value in 0.2, 1/9, a, 2/35? 2/35 Let y be (9/24)/(-3) - (-25)/40. Which is the smallest value? (a) -1/4 (b) -2 (c) y (d) 2 b Let x be 28/504*-42*(-4)/(-42). Let z(q) = q + 3 + 3 - 3. Let u be z(-4). Which is the biggest value? (a) 1 (b) x (c) u a Let q = 122 + -117. Which is the third biggest value? (a) q (b) -3 (c) 3 (d) 3/10 d Suppose 5*n - 2*o - 17 = o, -n - 4*o - 15 = 0. Let k = 97/4 + -24. What is the fourth smallest value in k, 3/7, -3, n? n Let z(k) = 14*k**3 - 2*k**2 - k. Let g be z(2). Let u be 3*g/81 - 4. Which is the smallest value? (a) u (b) 0 (c) -1 c Let v = 34/3 - 12. Let g = -2.484 - -4.484. Which is the biggest value? (a) 4 (b) g (c) v (d) 0 a Let z = 2/41 + 197/164. Let d = -31/28 + z. Let w = -7 + 28. What is the third smallest value in w, 1, d? w Let t = 109 + -64. Let r = 44.8 - t. Which is the second smallest value? (a) r (b) 1/2 (c) 0.17 (d) 0.1 d Let s = 393 + -393.016. What is the second biggest value in -2, 4, s? s Let t = 0.32 - -0.08. Let d = -0.9 + t. Let l = 8/13 - 59/117. What is the biggest value in d, -0.2, l? l Let a be ((-6)/12)/((-1)/6). Suppose 0 = j - 4*j + a. Let u = 2.2 - 2.7. What is the smallest value in 0.3, j, u? u Let d = -47/476 + -18/119. What is the smallest value in 2/23, d, 4, -0.5? -0.5 Let f = 11.2 - 9.6. Which is the biggest value? (a) -2 (b) f (c) 2/5 b Let d = -3.93 + 3.63. Which is the second biggest value? (a) 17 (b) d (c) 0.05 c Let s be 27/(-600) - 10/125. Let g be (9/(-12))/((-5)/(-4)). Let l = -1.89 - -2. Which is the second biggest value? (a) l (b) s (c) g b Let i(u) = -u**3 + 3*u. Let g be i(-2). Let v be (3 + -2)*-3 + (1 - g). Which is the smallest value? (a) 2/9 (b) -12 (c) v b Let x = -68.5 - -52. Let t = -16 - x. Which is the third biggest value? (a) t (b) 1/3 (c) 6 b Suppose 6*t - 2*t + 3*j - 139 = 0, -5*t = 2*j - 172. Let d be t/72 + (44/(-16))/11. What is the third smallest value in d, 0.2, -5, -0.1? 0.2 Let f = 0.334 + -0.134. What is the fourth biggest value in 0.5, f, -1, -0.15? -1 Let j = 9.2 - 8.7. What is the second smallest value in 1, j, -0.04? j Let w = -1.1 - 2.9. Let o = 0.1 + 0. Let f = 186.7 - 187. Which is the second smallest value? (a) f (b) o (c) w a Let u be -1 - ((-3)/2)/3. Let j = -42 - -12. Let q be 2 - (-4 + (-156)/j). What is the second smallest value in -2, u, q? u Let t = -33 + 4. Let o = -28.5 - t. What is the second biggest value in o, -8, 3, 0.2? o Let a(f) = 13*f**2 + 5*f + 7. Let q be a(3). Let d = q - 135. Let o = -20 + 115/6. What is the third smallest value in d, o, -0.2? d Let d = -24 - -54. Let y = -59/2 + d. Let x = -147.7 - -148. Which is the third smallest value? (a) -4 (b) x (c) y c Let p = 1.9 - 18.9. Which is the second smallest value? (a) p (b) 5 (c) -0.05 c Let z = -0.1 - -0.2. Let n = 317/21 + -15. Which is the biggest value? (a) 2/9 (b) n (c) z a Suppose -50*k + 10 = -55*k. Which is the second biggest value? (a) -7
{ "pile_set_name": "DM Mathematics" }
+ 68 + 621 = w. Let c = 546 + v. Is c a prime number? False Let d be 4/(-18)*9/(-1). Is (d/(-4))/(21/(-20118)) a prime number? True Let z(x) = 6*x**3 + 277*x + 27. Is z(14) prime? True Suppose 2*k - k + 2 = 0. Let f be 4*(k - (-22)/8). Suppose -i + 10 - f = 0. Is i a prime number? True Let f be ((-26988)/(-10))/((-5)/(-25)). Suppose -22*w - f = -28*w. Is w a composite number? True Let d(r) = -65*r**2 - r - 3. Let t be d(-3). Let g = t + 1846. Is g composite? True Let c = 17 + -24. Let s(o) = -80*o - 3. Is s(c) prime? True Suppose -f + 48874 = 2*i, -3*i - 8*f + 7*f + 73311 = 0. Is i a prime number? False Suppose -2*z + 48251 = 3*c - 0*z, -5*z = 3*c - 48245. Is c composite? True Let q(t) = 2*t - 10. Let k be q(6). Suppose 0 = f + 3*i - 413, -k*i + 1676 = 4*f + 2*i. Is f a prime number? False Suppose -15*q + 4 = -26. Suppose -3*m + 3207 = q*s, 0 = -3*m - 2*s - 3*s + 3216. Is m composite? True Suppose 21*k - 16*k = 3*g - 37343, -g + 3*k = -12445. Is g a composite number? False Suppose -2*y + 166 = 3*r, -2*r = -8*y + 9*y - 82. Is y a composite number? True Suppose 307680 = 35*i - 2143685. Is i a prime number? True Let h(a) = a**3 - 5*a**2 - 32*a + 7. Suppose -2*m = -5*x - 54 + 9, 3*x = 4*m - 69. Is h(m) composite? False Suppose 3*b + 0 = 6. Let u be b/2 + (-82 - 1). Let y = u - -117. Is y a composite number? True Suppose -2*i - 20 = 3*i. Let h be ((-33)/12 - -2)*i. Suppose -h*z - 4 = 8, 5*c - 3*z = 1307. Is c prime? False Suppose 3*o = 4*w - 0*o - 25, o + 6 = w. Suppose -w = -2*a - t, 0*t - 4*t = a. Suppose b - 104 = -f - a*f, 5*b + f - 640 = 0. Is b a composite number? True Is (-7)/((-35)/(-10))*38275/(-10) composite? True Let f = 4 - -1. Suppose -f*j + 786 = -3*j - 4*g, 0 = 3*j + 5*g - 1190. Suppose 2*k - 425 = s - 2*s, -s + 4*k = -j. Is s a composite number? True Suppose j + 4 = 6. Suppose 0 = -j*z + 233 - 67. Is z prime? True Let s = 2443 - 1568. Suppose -4 = -2*d - 0*d. Suppose -s + 261 = -d*c. Is c a prime number? True Suppose -12*i + 3*l + 3949 = -10*i, 5*i - 3*l - 9868 = 0. Is i a composite number? False Let p(m) = 49*m**2 - 77*m - 19. Is p(30) prime? True Let v(u) = -410*u + 4. Let l be v(-8). Let t = -2067 + l. Is t prime? True Is (3/3)/((-14)/(-1274)) prime? False Suppose 4*w - 28 = -2*q, -2*q + w = -6*q + 49. Is 5766/q + 2/4 composite? True Let a = 53 - 89. Let j be (-138)/(-4) + 3/6. Let c = j - a. Is c a prime number? True Suppose d - 147152 = -15*d. Is d a composite number? True Let k(d) = 54*d - 3. Suppose 5 = y + 2. Let z(s) = 27*s - 1. Let v(o) = y*k(o) - 5*z(o). Is v(3) a composite number? True Let s be 5 + (-1 - 2) - -3. Suppose -s*z - 68 = -768. Is 1/((-416)/z - -3) a composite number? True Suppose l + 2*f = 4*l + 2, 4*l = f - 11. Let u(d) be the third derivative of -13*d**4/8 + d**3/6 + 9*d**2. Is u(l) a prime number? True Let z = 3 + -2. Suppose -4*a - 4*h - 564 = 0, 0 = -3*a - 2*a - 3*h - 699. Is (a/(-10))/(z/5) a composite number? True Let m be (4 + 690)*4/8. Let q = -244 + m. Is q a composite number? False Let z(k) = 570*k + 37. Is z(6) composite? False Suppose -28*t + 31*t = -9, 4*t = -3*d + 77565. Is d prime? False Let l = 22 + -22. Suppose l*q = -5*q + 1265. Is q composite? True Suppose -33767 = -16*g - 2935. Is g composite? True Let m(a) = 46*a**3 + 1 + 0*a**2 - 1350*a**3 - a**2. Let o be m(-1). Suppose -335 = 3*r - 4*r - p, 5*p = 4*r - o. Is r prime? True Let d be ((-2)/3)/((-2)/5739). Suppose -i + d = -0*i. Suppose -3*x + 2*g = -1261, 3*x - g - i = -657. Is x prime? False Is (79 - 0)*-23*(0 + -1) composite? True Let g(f) = -2*f + 14. Let r be g(6). Let n(x) = 8 + r*x + 2*x - 2*x + 7. Is n(0) prime? False Suppose o + o = -120. Let b be -6*((-25)/10 + 2). Is 0 + 1 - o/b a composite number? True Is (-66412)/2*((-12)/8)/3 a prime number? True Suppose 11 = -m + 4. Is 2/m - (-7965)/21 prime? True Suppose 2*x + 2*c = 5*x + 14, 0 = 5*x + c + 32. Is (124/x)/(20/(-3) - -6) a prime number? True Let j(d) = -4*d - 20. Let l(u) = -2*u - 10. Let g(v) = -3*j(v) + 5*l(v). Is g(6) a prime number? False Suppose -4*n = -3*o - 142, -2*o = -n + 3*n - 64. Suppose -3*u - 2*t = -19, 5*u = -3*t - 4 + n. Suppose -6*y = -u*y - 471. Is y composite? False Is 0 - -18252 - (-1 - -6) a prime number? False Suppose 4*n = 7*n - 1575. Let s = n + 655. Suppose 10*j = 6*j + s. Is j composite? True Let w(a) = 61*a + 7. Let x(k) = 61*k + 7. Let t(l) = 6*w(l) - 5*x(l). Is t(6) a composite number? False Let g(w) = 10*w**2 - 2*w - 5. Let t(s) be the second derivative of -s**4/12 - 3*s**3/2 - 6*s**2 + 4*s. Let o be t(-8). Is g(o) a composite number? False Let c = 3 - -87. Let j = c + 163. Is j a prime number? False Suppose 4*o - 20 = 0, 34*o = -2*c + 35*o + 358937. Is c prime? True Suppose -q = -3*q + 10. Suppose 83 = q*i - 0*i - w, 3*w + 11 = i. Suppose i - 44 = -y + 5*o, 0 = -5*y - 2*o + 189. Is y a prime number? True Suppose 11694 = 2*d + 5*t, -4*d + 3*t = 8*t - 23408. Is d composite? False Let w be (0*(-2)/(-8))/(-1). Suppose w*v = 2*y - v - 977, v - 484 = -y. Is y composite? False Let t(y) = 11*y**3 + 5*y**2 - 2*y - 5. Is t(3) a composite number? False Suppose -2*n + 3*s + 11672 = 5*s, -3*n = -5*s - 17532. Is n a composite number? False Let m(w) = 18*w**3 + 16*w**2 - 43*w + 6. Is m(7) a composite number? True Let q be 1157 + 9/2*(-6)/9. Suppose q = 3*v + 17. Is v a composite number? False Suppose 3*p + 3 + 48 = 3*v, -3*v + p + 57 = 0. Suppose -2*z + 2334 = -v. Is z composite? True Let v(a) = -185*a + 16. Is v(-3) composite? False Let g = -17 + 19. Suppose -2*w - 6 = -4*y, -y + 5*w = g*y + 13. Is 1 + 4*66/y a prime number? True Let m be 1 + 3*(-4)/(-12). Let g = 202 + -111. Suppose -p = -m*p + g. Is p a composite number? True Let w(c) = -50*c. Let k be w(-6). Suppose -313 = 4*x - u, -2*x + 2*u = 6*u + 134. Let s = x + k. Is s a prime number? True Suppose 3*v + 3*u = 218 - 1172, -3*v = 2*u + 952. Let g be 3*v/(-12) + 1. Suppose -g = -2*z + 854. Is z a composite number? False Suppose -3*o + 143138 = 2*a, -5*o = 2*a - 167548 + 24410. Is a a prime number? True Let t(c) = 4*c - 7*c**2 - c**3 + 1 - 1 + 3*c**2. Let f be (1/3)/(2/(-42)). Is t(f) a prime number? False Let h(p) = -p**2 + 7*p + 10. Let g be h(8). Suppose g*x - 9 = -5. Suppose -x*q + 802 = j, 0 = -q + 3*j - 8*j + 383. Is q a prime number? False Let c(d) = -d**3 + 25*d**2 - 27*d - 28. Let b be c(22). Suppose 22*h = 20*h + b. Is h a prime number? False Suppose -38821 = -1841*x + 1840*x. Is x a prime number? True Let o = 33 + 896. Is o composite? False Let a(c) = 17*c**2 - 5*c + 7. Is a(4) composite? True Let y be 3940 + (4/(-6))/(10/15). Is (-18)/(-45) + y/15 prime? True Let f(h) = 342*h**2 - 21*h - 4. Is f(-3) a composite number? False Suppose 27185 = -2*r + 3*r. Is r composite? True Is -1 - (96/144 - 92684/3) a prime number? True Let z = -20935 + 149838. Is z a composite number? False Let m be 0 + (-5)/10*4. Let y be m/(-12) + 50804/24. Suppose -4*c + 2647 = -y. Is c composite? True Let q(d) = d**3 + 18*d**2 + 24*d + 21. Let k be q(-16). Suppose -5*m = -z + 342, -2*m - k = -z + 196. Is z composite? False Let f(m) = 19*m**3 + 4 - 4*m**2 - 13*m**3 - 3*m - 7*m**3. Let r be f(-3). Suppose -r*v - 1633 = -5*s, 4*v - 1651 = -5*s + 2*v. Is s composite? True Let l(q) = 51*q + 91. Is l(17) a prime number? False Let c = 21 + -24. Is (-307)/c - (-42)/63 prime? True Suppose n - 6*n = -180. Suppose -2*k = -v - 4*k, -k = 5*v - n. Let z(f) = 3*f**2 - 8*f - 1. Is z(v) composite? False Suppose 19*s + 473988 = 31*s. Is s a composite number? False Suppose 0 = 5*w - 5*x + x, -4*w = 4*x - 36. Suppose 510 = c + 4*k, -2*k + 2110 - 570 = 3*c. Suppose 0*u = 4*u - i - 529, -c = -w*u - 2*i. Is u composite? False Let j be (-2)/2 + 9585/15. Suppose -j = -2*n - 0*n. Is n composite? True Suppose -4*w = -6*c + 2*c - 268, -2*c = 5*w - 307. Suppose -q - w = -2*q. Suppose -2*p = -5*g - 238, -2*p + q + 139 = 4*g. Is p a prime number? True Suppose v + 4 = 4*g - v, 3*g = -2*v - 4. Suppose 5*k - 4*k - 339 = g. Is k a prime number? False Let j(z) = -z**2 + 3*z + 8. Let l be j(4). Let v(d) = d**2 - 7*d - 2. Let w be v(6). Is 266 + l/(w/6) a composite number? False Let c be 5*1 + 3/(-9)*3. Suppose c*t - 3451 = 6425. Is t composite? True Suppose 18 = 5*x - 2*j, x - j = 2*x + 2. Let d be 2 - (x - (2 - 0)). Suppose -5*r - 2*p = d*p - 387, -4*
{ "pile_set_name": "DM Mathematics" }
er when z is divided by l. 14 Let p = -22264 - -24976. Calculate the remainder when p is divided by 28. 24 Let v(q) = 5*q**2 - 23*q - 20. What is the remainder when (2/2)/(3/351) is divided by v(-1)? 5 Suppose 0 = 3*a + 5*d - 146, 0*a - 4*a + 5*d = -183. Suppose b + 5*v - a = 0, 3*b - 7*v + 8*v = 71. Calculate the remainder when b is divided by 6. 4 Suppose 5*w + 61 = -4*v, 3*w - 8 + 31 = v. Let a(q) = q**2 - 30*q + 42. Let x be a(28). Let d = w - x. Calculate the remainder when 17 is divided by d. 2 What is the remainder when 636 is divided by 1/(18/126) + (17 - (2 - 1))? 15 Let r(v) = -2*v - 7. Let j = -20 + 16. Let y = j - 7. Calculate the remainder when 73 is divided by r(y). 13 Suppose 0 = 6*s - 0 - 30. Suppose -v - 7 = -4, v = -s*n + 27. Calculate the remainder when 6 is divided by n. 0 Let m(l) be the second derivative of -26*l**3/3 - 23*l**2 + 14*l. Calculate the remainder when m(-9) is divided by 47. 46 Let o = -21671 + 21935. Calculate the remainder when 17420 is divided by o. 260 Let a(q) = 158*q - 18. Let o(c) = -3*c - 1. Let t(n) = -a(n) - 12*o(n). Calculate the remainder when t(-6) is divided by 17. 14 Let l = -358 + 363. Suppose z - 3*w = 89 + 8, 5*z - l*w = 475. What is the remainder when z is divided by 4/14 - (-1328)/56? 22 Let l = -260 - -263. Calculate the remainder when (-6)/(l - (-5 - (-387)/48)) is divided by 11. 8 Suppose r = -h + 33, 0 = -7*h + 4*h + 2*r + 74. Suppose -22*y - 78 = -h*y. Calculate the remainder when 114 is divided by y. 10 Let r(m) = m**3 + 36*m**2 - 81*m - 99. Let k be (-12)/(-14) + (-1904)/49. Calculate the remainder when r(k) is divided by 56. 35 Let r(n) = 2*n**2 + 38*n - 95. Let x be r(-20). Suppose -j - 2 + 10 = 0. Calculate the remainder when 0 - x - 3 - (1 + 5) is divided by j. 6 Let p be ((-3)/(-6))/((-2)/12). Suppose 82 = 5*w - 198. What is the remainder when -2 + 6 + (p - 321)/(-2) is divided by w? 54 Suppose 0 = -m - 6*m. Suppose 4*z + 12 = 4*c, m = c + z + 3 - 0. Suppose -g = -c*g, h = -g + 71. Calculate the remainder when h is divided by 18. 17 Let r = -7553 - -7604. Calculate the remainder when 485 is divided by r. 26 Let o(u) = -38*u**3 + u**2 + u + 1. Let v = 8 - 21. Calculate the remainder when o(-1) is divided by 2 - (v - (0 + 0)). 9 Let g(u) = -u**2 - 56*u + 2311. Let j = -21 - -55. Let k = 11 + j. What is the remainder when g(26) is divided by k? 44 Suppose 0 = -6*t + 3*x + 165, t - 3*x - 5 = 2*x. Calculate the remainder when t is divided by 12. 6 Let q = 37384 + -37314. What is the remainder when 376 is divided by q? 26 Let l(m) = 49*m**2 - 4*m - 3. Let k be l(-2). Let c be 4 - (-2 + 3 + k). Let r = c - -291. Calculate the remainder when r is divided by 16. 13 Let p(r) = 3*r**3 + r**2 - r - 1. Let o(b) = -14*b**3 + 7*b**2 + 25*b - 8. Let k(t) = -o(t) - 5*p(t). What is the remainder when 62 is divided by k(-10)? 10 What is the remainder when (0 + 2 + -88)/((-74)/1332) is divided by 396? 360 Suppose -5*q + 481 = 2*n, 6*q - 2*q = 5*n + 365. Suppose q = 2*z + 5*j, 137 = 3*z + 9*j - 7*j. Calculate the remainder when z is divided by 13. 6 Suppose 1140 = 21*s - 27*s. Let d = 243 + s. Calculate the remainder when 103 is divided by d. 50 Suppose 118 - 602 = 4*l. Let v = -30 + l. Let k = v - -158. What is the remainder when 9 is divided by k? 2 Calculate the remainder when 2/5*(2 - -4458) is divided by 593. 5 Suppose 0 = 3*x + 3*x + 72. Calculate the remainder when 263 is divided by (-28)/x*(3 - -36). 81 Let k be 3/2 - 3/(-2). Suppose 0 = k*h + 2 - 149. What is the remainder when h is divided by 360/21 - (-1)/(-7)? 15 Suppose 17*f - 17 = 0, -6*j - 1240 = -9*j + 2*f. Calculate the remainder when j is divided by 15. 9 Suppose -2*d - d = -141. Calculate the remainder when d is divided by -3 + 8 + 20 + 4. 18 Suppose 0 = -w + 4*p + 153, 642 = 3*w + w - p. Let f = -15426 + 15467. What is the remainder when w is divided by f? 38 What is the remainder when 1901 is divided by ((-14)/(-8) + -1)/(21/112)? 1 Let k(l) = -l**3 + l**2 + 2*l - 18. Let m be k(-6). Let u = m - 205. What is the remainder when 63 is divided by u? 12 Suppose 0 = 4*s - 3*b + 402, -4*s = -0*s - 4*b + 404. Let f be (0 - 14/(-6)) + (-66)/s. Let u(o) = o + 12. Calculate the remainder when u(f) is divided by 8. 7 Suppose -44 - 635 = -7*c. Suppose 111 = 3*j + 96. What is the remainder when c is divided by j? 2 Let w(n) be the third derivative of 0 + 0*n**4 + 0*n + 11/40*n**6 + 1/60*n**5 - n**2 - 1/6*n**3. Calculate the remainder when w(1) is divided by 18. 15 Suppose -7 = -b + 3*b - m, 0 = -5*b - 2*m + 5. Let j be (-26)/b + (-1 - -2) + 0. Suppose -43 = -5*p + j. What is the remainder when p is divided by 6? 2 Let y = 11906 - 11727. Calculate the remainder when 17540 is divided by y. 177 Let f = -30384 + 31241. What is the remainder when f is divided by 123? 119 Let u = -213 - -218. Suppose -4*r + 9*r + 90 = 5*m, u*m = 3*r + 80. Calculate the remainder when m is divided by 9. 4 Let r = -33 - -110. Suppose -z - 5*n + 262 = 0, 4*z - 1111 = 3*n - 2*n. Let s = z + -264. What is the remainder when r is divided by s? 12 Suppose -22*u - 30*u = -86164. Calculate the remainder when u is divided by 56. 33 Let g be -6 + 3 + 1 + 41. Let j be 74/26 + 4 + (-150)/g. What is the remainder when 62 is divided by ((-17)/j)/(2/(-6))? 11 Suppose -201*f + 1512 = -180*f. Calculate the remainder when f is divided by 40. 32 Let o(f) = f**2 - 7*f - 23. Let b be o(10). Let c be (b*15/10)/((-2)/(-4)). Suppose -w = 2*w - c. Calculate the remainder when 27 is divided by w. 6 Suppose 3 = 3*l, 30*f + 4*l - 392 = 26*f. Suppose y - 18 = 21. What is the remainder when f is divided by y? 19 Suppose -139*c + 144*c - 45 = 0. Suppose -39*l = -c*l - 5430. Calculate the remainder when l is divided by 11. 5 Suppose 2*j - 159 = -3*v, -22*v - 195 = -25*v + 4*j. Calculate the remainder when v is divided by 2 - (3/(-3) + -13). 9 Let p be 4 + -7 - (4/(-2) + -3). Suppose -p*j = -405 + 71. What is the remainder when j is divided by 43? 38 Let n = 2253 + -2238. Calculate the remainder when 919 is divided by n. 4 Let j(u) = u**2 + 115*u + 1339. Calculate the remainder when 767 is divided by j(-13). 0 Let j(w) = 21*w + 129. Let z be j(-6). Let s(p) = 3*p**2 - 7 - p**2 - 3*p + 4*p. What is the remainder when 54 is divided by s(z)? 12 Let x(b) = -b**3 + 7*b**2 + b + 46. What is the remainder when 3695 is divided by x(6)? 87 Let r(y) = -11*y - 6. Let q be r(-1). Suppose -11*z = q*z - 1008. What is the remainder when z is divided by 20? 3 Let m(r) be the first derivative of -r**4/4 + 4*r**3 - 11*r**2 - 4*r + 310. Suppose -3*j = -2*j - 9. What is the remainder when 245 is divided by m(j)? 40 Suppose -5*k + 4*q = -1046, -97*k + 94*k = -5*q - 625. Calculate the remainder when 445 is divided by k. 25 Let u = 18676 - 18573. Calculate the remainder when u is divided by 33. 4 Let k = 37 + -29. Suppose -p + 93 = -5*n - 27, 3*n = 3. What is the remainder when p is divided by k? 5 Let a(l) = -l**3 + 86*l**2 - 380*l - 1189. What is the remainder when a(80) is divided by 9? 7 Let i = 66 - -9. Let w = -2731 + 2877. What is the remainder when w is divided by i? 71 Suppose 32*g - 98*g = -1122. Calculate the remainder when 1440 is divided by g. 12 Suppose -3*d = -8*d - 10. Let z be d/3 + (-266)/6. Let t = -7 - z. What is the remainder when 110 is divided by t? 34 Let s = 1598 - 1554. What is the remainder when 1245 is divided by s? 13 Suppose -2*o = l + 2, 3*o - 3*l + 3 = -5*l. What is the remainder when 40 is divided by o*16*(-3 - -8)/(-5)? 8 Suppose 12*u = 474 + 438. Suppose -2*s = 2*n - u, -3*n + 164 = 4*s - 2*n. Calculate the remainder when 251 is divided by s. 41 Suppose -4*h + 3*u + 93 = -209, -366 = -5*h - 2*u. Let q = h + 71. Let m = q + -86. What is the remainder when m is divided by 31? 28 Suppose q - 6*y - 17 = -2*y, -2*q - 2*y + 4 = 0. Suppose b + q*s = 126, 3*s + 39 = -2*b + 305. What is the remainder when b is divided by 36? 28 Suppose 2*r = -2*i - 13 + 257, 3*r - 366 = -2*i. Let p be (-14)/14*0/2. Suppose -11*m + r - 1 = p. What is the remainder when 21 is divided by m? 10 Let z = -266 - -319. Calculate the remainder when z is divided by 6/(-2) - (-4)/(-8)*-14. 1 Suppose -14*u + 38*u = 264. Suppose 5*v - 2*k = 1190, 6*v = u*v + 3*k - 1215. Calculate the remainder when v is divided by 50.
{ "pile_set_name": "DM Mathematics" }
-74*a - 28. What is the units digit of d(b)? 8 Suppose 5*x - 430 = 280. What is the hundreds digit of (x/(-4))/(18/(-72))? 1 Suppose 3*b - 5*r - 22847 = 0, 3*b - 3*r - 24787 = -1930. What is the hundreds digit of b? 6 Let s be 1/4 - 124/(-16). Suppose -d - d - 3*l = -6, -s = -4*l. Let q(i) = -3*i + 32. What is the units digit of q(d)? 2 Let s(r) = 2426*r**2 + 16*r + 73. What is the tens digit of s(-4)? 2 Let n(d) = 333*d**2 - 220*d + 32. What is the ten thousands digit of n(-8)? 2 Suppose 55788 = 3*g - 3*n, 15*n = 5*g + 20*n - 92970. What is the tens digit of g? 9 Suppose 4*a = 2*a + 156. Let c = -2997 - -2956. Let h = a + c. What is the units digit of h? 7 What is the units digit of (2352/(-24))/(1*(-2)/986) + -5? 9 Suppose -2*n + 1405*z - 1408*z + 53562 = 0, 2*z - 4 = 0. What is the thousands digit of n? 6 Let k(r) = -139*r**2 + r + 20085. What is the thousands digit of k(0)? 0 Suppose 23*o - 167768 = -12*o - 43308. What is the thousands digit of o? 3 Let t(p) = 48*p - 66. Let c(n) = 144*n - 196. Let r(w) = 3*c(w) - 8*t(w). What is the hundreds digit of r(7)? 2 Let k = 84 + -142. Let p = 58 + k. Suppose p = v + 62 - 268. What is the units digit of v? 6 Let o(s) = 6*s**3 + 3*s**2 - 2*s + 2. Let f be o(2). What is the tens digit of ((-1)/(-3)*8)/(f/3741)? 7 Suppose 632*x = 644*x - 6768. What is the hundreds digit of x? 5 Suppose w - 685 = 134. Suppose 0 = 6*g - w - 819. What is the tens digit of g? 7 Let q(u) = u**3 + 2*u**2 - u - 206. Let f be q(0). Suppose 0 = -307*a + 298*a - 18. What is the units digit of 3/((-418)/f + a)? 3 Suppose 9 = -3*s - 2*o + 21, 5*s - 5*o - 20 = 0. Let m be 8*(-1)/(-5)*(-20)/s. What is the units digit of (0 - -5)*(1 - m)? 5 Suppose -5*b = 19*b - 270408. What is the tens digit of b? 6 Let o = 36 - 36. Let a be (0 - -41)/(o + 4/4). Suppose 4*h + 4*l - 91 = 57, 0 = -h - 2*l + a. What is the units digit of h? 3 Suppose 4*t - 7*t = -3*y - 867, 543 = -2*y - 5*t. Let w = y - -546. What is the hundreds digit of w? 2 Let w be (-2)/((1/2)/(13 + -14)). What is the tens digit of 64 + ((3 - 3)*1)/w? 6 Let z(y) = y**3 + 4*y**2 + 7*y + 9. Let m be z(-2). Suppose m*q + 6*c - 3009 = 2*c, 3*q - 3024 = c. What is the tens digit of q? 0 Let s = -41 + 46. Suppose -20 = -s*j - 5. Let l(i) = 32*i + 5. What is the tens digit of l(j)? 0 Let p = -377 - 54. What is the hundreds digit of (73/(-73))/(1/p)? 4 Suppose 0 = 99*j + 3*j - 666060. What is the units digit of j? 0 Let m = 52 - 49. Suppose m*c - 50 = -1355. Let z = -215 - c. What is the hundreds digit of z? 2 Suppose -164*z + 165*z = 2*i + 16636, -5*z + 5*i + 83185 = 0. What is the units digit of z? 8 What is the units digit of 0 + -13 + 2041877*40/1240? 4 Suppose -9*p + 245080 + 364652 = 0. What is the units digit of p? 8 Let s(t) be the first derivative of -7*t**4/4 - 8*t**3/3 - 19*t**2/2 - 3*t + 36. What is the units digit of s(-5)? 7 Suppose 5 - 5 = -6*r. Let n(m) = -m**3 + m**2 + 3*m + 6. Let x be n(r). Suppose -x*u - 122 = -8*u. What is the tens digit of u? 6 Suppose 0 = -s - y + 26, -5*s - 14*y + 10*y + 129 = 0. Suppose 0 = 41*x - s*x - 4000. What is the hundreds digit of x? 2 What is the hundreds digit of 7 - (255038/(-7) - 3)? 4 Let b(k) = 15*k**2 + k - 20. Let j be b(-4). What is the tens digit of 3 + (165480/j - (-2)/(-18))? 6 Suppose 4*c = 2*c, -4*v - 468 = 4*c. Suppose 3*j = -4*a + 3*a - 9, 3*j = 3. What is the units digit of 52/a*v/3? 9 Let d(u) = u**3 - 8*u**2 - u + 16. Let q(c) = 8*c - 39. Let b be q(6). What is the tens digit of d(b)? 8 Suppose -8*o = -13*o + m + 84, -28 = -2*o - m. What is the units digit of (15 - o)*(-338)/(-4)*-2? 9 Suppose -3714*a = -3678*a - 84780. What is the thousands digit of a? 2 Let p(v) = 15*v**3 - 7*v**2 + 25*v - 22. Let h(i) = 8*i**3 - 3*i**2 + 12*i - 10. Let s(f) = -5*h(f) + 2*p(f). What is the tens digit of s(-3)? 1 Let k be ((-9)/6)/(21/(-112)). Suppose 4*h + 2*a = 4*a + 976, k = -4*a. What is the tens digit of h? 4 Suppose 4*x + 16 = 2*t, -4*x - 22 = -3*x - 5*t. What is the tens digit of 2*((-281)/x - 6)? 6 Let g = 4378 - 6146. Let f = -1135 - g. What is the hundreds digit of f? 6 Let s(f) = -13*f - 64. Let p(o) = o**2 + 17*o + 34. Let q be p(-15). Suppose -j = q*b + 73, 8*b - 3*b - 5*j + 85 = 0. What is the units digit of s(b)? 0 Let n(u) = u**2 + 8*u - 22. Let i(v) = 2*v - 17. Let p be i(14). What is the hundreds digit of n(p)? 1 Let l = -94 + 89. What is the tens digit of 53 - ((-3 - l) + 4)? 4 What is the tens digit of (1/(-5)*6085)/(2 - 3)? 1 Let v = -2290 - -1008. Let s = 2268 + v. What is the units digit of s? 6 Suppose q = z - 56512, z = -235*q + 237*q + 56509. What is the thousands digit of z? 6 Let v = -5542 + 11638. What is the units digit of v? 6 Suppose c - r = 29, 11 = c + r - 12. Suppose c*g - 36*g = -270. What is the tens digit of g? 2 What is the tens digit of 1/6*-3 + (-230450)/(-20)? 2 Suppose 646 = 2*g - 5*r, 3*g = r + 840 + 103. Let m be 1 - g*(-4 + 3). Suppose 70 = 3*a - m. What is the tens digit of a? 2 Let s(z) = -224*z + 7. Let u be s(-4). Suppose -u = -10*b + 217. Let d = 165 - b. What is the units digit of d? 3 Let y(c) = -29*c + 234. Let o be y(8). What is the hundreds digit of ((-372)/24 + 15)/(o/(-5916))? 4 Suppose -z - 21 = -2*z - 3*n, n = -5*z + 35. Suppose -6*y + 8 = -8*y. What is the hundreds digit of (z/y)/(9/(-822))? 1 Let r(i) = i**2 + 10*i + 4. Let d be r(-11). Suppose 19*x + 56 = 2*o + d*x, 0 = o - 5*x - 25. What is the units digit of (-4)/((-8)/o)*(2 + 8)? 0 Suppose 0 = 8*n - 1393 - 663. Let g = n - 118. What is the hundreds digit of g? 1 Let v = -689 - -700. What is the units digit of (v/(-22))/(2/(-5260))? 5 Suppose 21 = -10*u + 17*u. Suppose -c - 1017 = -u*m - m, 1 = -c. What is the hundreds digit of m? 2 Suppose 1980 = -5*c + 16*c. What is the units digit of 292830/c - (-2)/12? 7 Suppose 5*x + 6196 = 4*o, -o - 4*x + 1570 = -0*x. Suppose 0 = 2*y + 4*y - o. What is the tens digit of y? 5 Suppose 2 + 3 = -5*j, 0 = -3*y - 4*j - 484. Let t = y - -326. What is the units digit of t? 6 Let l = -49 - -44. Let o be 1/l + (-168)/(-40). Suppose 0 = -m + 5*f + 181, 2 = o*f - 6. What is the units digit of m? 1 Suppose -10*y + 35 = -3*y. Suppose -3217 = -3*u - 4*a + 6*a, -y*u + 5361 = -4*a. What is the units digit of u? 3 Let y be 4*4/(-24)*(-75)/5. Suppose -y*g + 318 = -602. What is the units digit of g? 2 What is the tens digit of (4/(180/7677))/((-6)/(-780))? 7 Let n(m) = m**3 + 22*m**2 + 2*m + 43. Let x be n(-22). What is the tens digit of (-9)/18*(x - 513)? 5 Suppose -190*l + 189*l + 33204 = 3*m, 33199 = l + 4*m. What is the hundreds digit of l? 2 Suppose 16*n - 131 + 35 = 0. Suppose -c = -n*c + 890. What is the hundreds digit of c? 1 What is the thousands digit of (10 + -2)/(-4)*-4306? 8 Suppose 8*z + 2*q - 14573 = 5*z, -10*z - 2*q + 48586 = 0. What is the hundreds digit of z? 8 Suppose -141306 + 449956 = -17*f + 67*f. What is the hundreds digit of f? 1 Suppose 3*v + 2*v = 2*p + 105285, -8*v + 168447 = -5*p. What is the hundreds digit of v? 0 Suppose 3*x + 3677 = 5*r, -x - 1324 = -5*r - 115. What is the tens digit of (-51)/(-85) + x/(-10)? 2 Suppose -3*t + 12*t + 9 = 0, 80711 = 5*f + 4*t. What is the hundreds digit of f? 1 Suppose 4*t - 9*l = -11*l + 4948, 0 = 2*t - 5*l - 2450. Suppose -u + t - 443 = 0. What is the tens digit of u? 9 Let s(b) = -775*b - 327. What is the tens digit of s(-6)? 2 Let i = 113149 + -70589. What is the units digit of i? 0 Let j be 3*(123/63 - 2/7). Let r be (0/(-1 + -1))/(j + -2). Suppose -5*k + 46 + 704 = r. What is the tens digit of k? 5 Let q(l) = -l**3 - 13*l**2 - 25*l - 5. Let k be q(-16). Let j = 1693 - k. What is the units digit of j? 0 Let t be (-2)/(-4) - 5649/(-42). Let w = 189 - t. What is the units digit of w? 4 Suppose -7*m + 7608 = -9220. What is the thousands digit of m? 2 Suppose q = 0, 0 = 2*l - 0*q + 5*q - 993 - 35069. What is the units digit of l? 1 Let v(u) = 3*u**3 - 22*u**2 + 22*u + 21. Let r be v(24). Suppose -24*b = -3819 - r. What is the thousands digit of b? 1 Suppose -i + 54207 = 5*h, 38*i = 37*i + 2. What is the hundreds digit of h? 8 Let s(x) = -423*x + 46. What is the tens digit of s(-17)? 3 What is the tens digit of (8/(-21)*-249)/((-1)/((-35)/10))? 3 Suppose -5*l = -0*l + 30. Suppose 3*f + 135 = 3*b, 15*f + 162 = 11*f - 2*b. What is the te
{ "pile_set_name": "DM Mathematics" }
for c. -4 Solve -2*z + k = -7*z - 20, -z = -k - 2 for z. -3 Solve -3*n + 29 = 4*z, -16*z + 13*z = -5*n for z. 5 Solve -2*v + 12 = 2*o - o, -5*o + 24 = v for o. 4 Solve -4*x + 19 = 3*q, -3*q + 20 - 5 = 3*x for q. 1 Solve -4*z - 14 = 2*x, 1 + 1 = -z - 2*x for z. -4 Solve 2*s = a + 1, -5*s - 3*a = -6*s - 12 for s. 3 Solve 2*r + 21*t + 11 = 24*t, -5*r = -t + 8 for r. -1 Solve -36*d = -40*d - 8, -4 = 3*z + 5*d for z. 2 Solve j + 4*m - 4 = 0, -74 = 5*j + 2*m - 58 for j. -4 Solve -2*f - 6 = 2*g, -f = 2*g - 280 + 288 for f. 2 Solve -c - 5*g = 30, 4*c + 24 = -5*g - 21 for c. -5 Solve 20 = -4*r + 2*p, 4*r + 6 = -5*p + 14 for r. -3 Solve 8*d - 7*d + 9 = -5*x, -4*d = -4*x - 12 for d. 1 Solve -5*q - 25 = -5*p, 122*p = 127*p + 3*q - 1 for p. 2 Solve -19*t = -20*t - y + 7, 4*t - y - 8 = 0 for t. 3 Solve 2*f + 11 = 3*v, -4*v + 4*f + 12 = -0*f for v. 5 Solve 4*p - 26 + 7 = m, -m = 5*p - 17 for p. 4 Solve i - 1 = 2*y - 2, 0 = -2*i - y + 13 for i. 5 Solve -24*l = -3*n - 21*l - 21, 4*n + 24 = 2*l for n. -5 Solve 2*c = -11*v - 46, -5*v - c = 3*c + 24 for v. -4 Solve 8 = 4*w - 4*h, 5 = -6*w + 7*w - 4*h for w. 1 Solve -4*n = 2*r - 2, 2*r = 5*n - 22 + 6 for n. 2 Solve -2*h - 2 = -r, r + 16 = 3*r + 2*h for r. 6 Solve -5*i = q, -2*i - 5*q + 4*q - 3 = 0 for i. 1 Solve o - 3*n = 13, -4*n + n - 17 = -5*o for o. 1 Solve -8 = 5*j - 5*p + 22, -5*p + 22 = -3*j for j. -4 Solve 2*j - 5*i = -8 - 19, 0 = -4*j + i - 9 for j. -1 Solve 0 = 5*m - 10*m + 15, -5*a = -m + 23 for a. -4 Solve 0 = 12*c - 9*c + x - 18, -4*c + 2*x = -14 for c. 5 Solve -5*g + 14 = 2*r - 5*r, -5*r - 10 = 5*g for g. 1 Solve -5*h + 4 = -3*b + 4*b, 0 = -b + 3*h + 4 for b. 4 Solve 7 = -14*y + 17*y - 2*l, l = y - 1 for y. 5 Solve 3*f = -5*q + 40, f = -4*f + 25 for q. 5 Solve 2*p - 14 = -4*k + 3*k, 10 = 2*p for k. 4 Solve 3*h + 21 = 4*v, -3*v = -4*h - 1 - 20 for h. -3 Solve 5*y - 10*y - 4*k = 17, -3*y + 2*k - 19 = 0 for y. -5 Solve 0 = -4*y - 4*x, 4*x + 8 = y + 3*y for y. 1 Solve d = -2*z + 13, 5*z + 0 = -d + 25 for d. 5 Solve s - 11 = -5*w, -4*w = 7*s - 3*s - 12 for w. 2 Solve -2*z + 3*a = -18, z - 32*a + 27*a = 30 for z. 0 Solve -t - 12 = -0*t - 3*z, 2*t - 6 = -4*z for t. -3 Solve -4*l = 3*s - 8 - 6, 4*s + 2*l = 12 for s. 2 Solve 2*n = 5*g + 16, 15*n = -2*g + 19*n for g. -4 Solve -4*q = 51 - 43, 5*q = -5*v - 25 for v. -3 Solve 0 = 2*k - 4*v - 3 + 29, 2*v = 4*k + 22 for k. -3 Solve 4*c = -u + 7, -38 = 4*u - 2*c - 12 for u. -5 Solve 8*j + 2*g + 2 = 6*j, -2*g = -2*j - 14 for j. -4 Solve 4*d + 14 = -3*q, -4*d - 5 - 5 = q for d. -2 Solve -3*y + 5*f - 75 = -47, -5*y - 25 = -4*f for y. -1 Solve 0 = n + 4*p + 7, 0 = -6*n + 3*n + 5*p + 13 for n. 1 Solve 0 = 4*c + 2*h - 27 + 31, 0 = 2*h - 4 for c. -2 Solve -4*u + 4*h + 21 = 49, 4*h = -2*u - 2 for u. -5 Solve 2 = -2*q - 3*l + 4, -25 = q - 5*l for q. -5 Solve 0 = -4*k - 8, -k - 5 = 4*o - 23 for o. 5 Solve -2*q + 4*l = 18, 0 = -2*q + 2*l - 0*l - 8 for q. 1 Solve 93*u = 4*h + 97*u - 16, -2*h + u + 11 = 0 for h. 5 Solve o - 4*i = 9, -i + 0*i = -o + 6 for o. 5 Solve 2*i = 3*k, -4*k - 2 = 6*i - 8*i for k. -2 Solve 5*x - 20 = 0, -14 = q - 2*q - 3*x for q. 2 Solve -4*b + 24 = 5*y, 9*y + 3*b - 14 - 25 = 0 for y. 4 Solve 0 = 3*c - 40*s + 36*s - 15, -s = 4*c - 20 for c. 5 Solve 0 = -3*w - 4*j - 23, 0 = 2*w + 3*w - 2*j + 21 for w. -5 Solve -2*n - 25 = 3*x, -4 = -4*x + 5*n + 1 for x. -5 Solve 3*r - 3*o = 12, 3*r + o - 1430 + 1442 = 0 for r. -2 Solve 20 = 4*i - 4*r, 5*i - 5*r - 25 = -2*r for i. 5 Solve 16*t + 4*x = 12*t + 8, 2*t - 2*x - 4 = 0 for t. 2 Solve 3*p - 5*r = 7, 4*p = 2*r + 8 + 6 for p. 4 Solve 3 + 4 = -5*n - 2*m, 4*n = m - 3 for n. -1 Solve 4*x = 44*l - 42*l - 10, -l = -3*x - 5 for x. 0 Solve 5*q = -u - u - 6, 4*q - 9 = 3*u for u. -3 Solve 17 = 3*k + 5*a, -3*a = -2*a - 4 for k. -1 Solve 31*f = 32*f - 3*b + 4, -15 = 2*f + b for f. -7 Solve 4*a - 3*z = -17, 15 = 4*z + 3 for a. -2 Solve -2*w + 3*y + 15 = 0, -5*w - 3*y + 59 = 74 for w. 0 Solve -4*p = i + 10, -4*p = 5*i + 22 - 20 for i. 2 Solve -4*k + 0*k = -3*h + 5, 2*k - 5*h - 1 = 0 for k. -2 Solve -5*j + 13 = -m, -5*m + 1 + 0 = -3*j for j. 3 Solve 3*n - n = -3*m + 22, -3*m + 32 = 4*n for m. 4 Solve -2*z - 5*h - 6 = 19, 3*h + 15 = -5*z for z. 0 Solve -5 = -4*x - 2*v - 7, -5 = 4*x + 3*v for x. 1 Solve 2*b - 6 = -n, -3*n = -8*n - 3*b - 5 for n. -4 Solve 5*u - 7*u - 16 = 3*a, -2*u - 16 = 4*a for a. 0 Solve 14*w + 8 = 12*w - 2*i, 3*i = -3 for w. -3 Solve -k - 3 = -4*k, 11 = 4*z - k for z. 3 Solve s = -3*a - 7, -3*a = 37*s - 41*s - 13 for a. -1 Solve p = -3*d + 2, -5*d = -5*p - 0*d - 10 for p. -1 Solve 2*q - 5*l - 7 = 5*q, -3*l + 31 = -7*q for q. -4 Solve -m - 3 = -k + 2, 5*m + 18 = -2*k for m. -4 Solve -6 = 5*j + i, 4*j + i - 6 = -11 for j. -1 Solve 5*c = -3*u + 22 - 11, 6 = 2*u + 3*c for u. -3 Solve -19 = m + 5*b, -2*m - 4*b - 14 = -0*m for m. 1 Solve 5*l = 3*f - 6, 2*f - 1 = -2*l - 13 for f. -3 Solve 5*v = 5*p - 0*p - 15, v - 3*p + 13 = 0 for v. 2 Solve 2*z = 3*z - 4*g - 16, -3*z - 37 = 5*g for z. -4 Solve 2*v + 6 = 2*z, 5*z - v - 11 = -0*v for z. 2 Solve -3*d - 4*v = 1, 5*d + 4*v - 1176 + 1175 = 0 for d. 1 Solve 3*s + 2*x = 7*s + 2, -3*s = 2*x - 16 for s. 2 Solve -5*v = 4*x + 5 + 22, 3*v + 4*x = -21 for v. -3 Solve -205*y + 16 = -208*y - 5*f, 0 = -5*y + 3*f + 30 for y. 3 Solve 6*f + 3*d = 7*f + 6, 0 = 5*d - 15 for f. 3 Solve -8*t - 2*j = -11*t - 12, -4*t + 2*j - 16 = 0 for t. -4 Solve 5*m + 6 = 2*x, -m - 1 = 4*x + 9 for m. -2 Solve -3*c - 17 = 5*o, -8 = -4*c - 4 for o. -4 Solve 5*c + 15*b = 10*b, -c + 2*b + 3 = 0 for c. 1 Solve 5*v - 38 + 42 = -2*z, 0 = -4*v - 8 for z. 3 Solve -5*t + 7*t + 4*g - 36 = 0, -30 = t - 4*g for t. 2 Solve -2*l - 3*o = -6, 2*o = 4*l - 3 - 9 for l. 3 Solve -25*i + 27 = -28*i + 3*a, -5*a + 29 = -i for i. -4 Solve -4*c + 24 = -m, 5*c = -3*m + 12 + 1 for m. -4 Solve -2*r + 5*k = -25, -11*k - 5 = -4*r - 10*k for r. 0 Solve -2*i - 16 = 4*y, 67*i = -4*y + 66*i - 16 for y. -4 Solve 4*p - 6 = 2*o, -2*p + 24 = 3*o + 3*p for o. 3 Solve -2*o + 3*k = 10, -4*o = -o + 3*k for o. -2 Solve a + 2*a = -5*k + 3, -2*a - 11 = -k for a. -4 Solve -9*y = 4*q - 10*y - 4, 2*q + 5*y - 2 = 0 for q. 1 Solve 0 = -2*j - 10, -3*j = -0*r - 3*r + 21 for r. 2 Solve -g + 14 + 8 = -5*a, 0 = 2*a + 2*g + 16 for a. -5 Solve -3*h + 2*u + 3 + 1 = 0, 0 = 5*u + 25 for h. -2 Solve z - 3*z = 2*p, 0*z = z for p. 0 Solve 0 = -4*l - 4*j - 12, 0*j = 4*j + 12 for l. 0 Solve -h = -2*h + 4*c + 3, 2*h + 20 = -5*c for h. -5 Solve 5*z = -i + 5, -2*i + 5*z + 3 - 8 = 0 for i. 0 Solve 20*d - 24*d = -4*s - 4, 0 = -2*d - 3*s + 22 for d. 5 Solve 20 = -2*p - 2*l, -p + 7 + 3 = -3*l for p. -5 Solve c = -5*p - 15, 5*p - 2 = -2*c - 12 for c. 5 Solve -4*n - 5*b - 3 = 0, 4*n + 0*b - 15 = b for n. 3 Solve -b - 10 = 9*x - 11*x, -5*x = b - 25 for b. 0 Solve -2*l + 2*y = 31 - 37, -5*l + 2*y = 0 for l. -2 Solve -2*l - 2 = 4*z - 0, 5*l + 11 = -4*z for z. 1 Solve 0 - 6 = 2*p + 3*z, 3*p - 25 = 4*z for p. 3 Solve 12*s = 20*s + 40, -3*o = 4*s + 11 for o. 3 Solve 0*l + 5*l + 23 = -4*a, 5*a = -10 for l. -3 Solve -3*h - 6 = -5*q, -2*h - 2*q - 4 = 3*q for h. -2 Solve -5*z + 4*z = -2*t - 11, -22 = 5*t + 3*z for t. -5 Solve -4*f = 5*l - 13, 3*f - 61*l + 62*l + 4 = 0 for f. -3 Solve -9*r + b = -12*r + 7, 5*b = -10 for r. 3 Solve 20*i = -5*m + 23*i - 18, 0 = 5*m - 5*i + 20 for m. -3 Solve 5*o = m + 19, o = 2*m - o + 14 for m. -4 Solve -3*a - 4 = 5*w, -4*a - a - 4*w = 11 for a. -3 Solve 4*k + 10 = -7*r + 9*r, -2 = 2*r for k. -3 Solve -r = c, -6*r + 5*c = -r - 30 for r. 3 Solve -q + 0*l + 15 = -2*l, -q - 2*l = 5 for q. 5 Solve 4*v + 6 = -4*b - 14, 0 = 4*v + 2*b + 14 for v. -2 Solve 10 = 2*j + 2*y, 3*y = -j + 4*y - 3 for j. 1 Solve -3*f = -7*f + b, 0 = -5*f + 4*b - 11 for f. 1 Solve 3*w = 2*j - 19, -26 = -w - 5*j - 4 for w. -3 Solve 2*x - 2*t + 260 = 272, 28 = 3*x - 5*t for x. 1 Solve -4*c - 11 = a, -10*c - 5*a = -9*c - 21 for c. -4 Solve 1 = 5*p + h, -76 = 4*p - 4*h - 72 for p. 0 Solve -2*n - 14 = -2*v, -v + 11 = -3*v - 3*n for v. 2 Solve -2*z - 30 = -4*a - 8, 4*z + 29 = 3*a for z. -5 Solve -9 = 3*s, 0*k + 5*k = -2*s + 14 for k. 4 Solve -4*g + 20 = -3*i, -2*i + 15 = 3*g - 5*i for g. 5 Solve -8*o + 10*o + 43 = -7*a, 3*o = 4*a + 8 for o. -4 Solve -j - w + 21 = -5*j, 11 = -4*j - w for j. -4 Solve -b = -6*b + 2*f + 1, -16 = 4*b + 4*f for b. -1 Solve j + 0*x - 13 = 2*x, 0 = -4*x - 20 for j. 3 S
{ "pile_set_name": "DM Mathematics" }
he nearest to 7 in 3, -4, -1/2, -5? 3 What is the nearest to 35 in 2/17, -0.5, -301, 1/5? 1/5 What is the closest to 2/3 in -7, -12/5, 0.8? 0.8 What is the closest to 4/5 in 1, -0.7, 0.4, -5? 1 What is the nearest to 1 in 1/51, 4, -9, -2/9? 1/51 What is the closest to -1 in -2/7, -0.2, -1, -17? -1 What is the nearest to -2 in 3/2, 0.01, -2? -2 Which is the nearest to 0.06? (a) 5 (b) 7 (c) 1/9 c What is the closest to -118 in 1/5, 2, 1? 1/5 What is the closest to 14 in -5, 8, -1? 8 What is the nearest to 0.1 in -0.15, 0.01, -0.1? 0.01 What is the closest to 1/6 in 9/2, 49, -0.4, -4? -0.4 Which is the closest to -31? (a) 2 (b) -0.5 (c) 0.2 b Which is the nearest to -2? (a) 2.8 (b) -1/4 (c) 4 (d) 1 b Which is the nearest to 1? (a) -1/5 (b) -3 (c) -5 (d) -2.2 a Which is the closest to 2? (a) -4 (b) -3/2 (c) -6 (d) -13 b What is the closest to -2 in -0.02, 19, -5? -0.02 What is the nearest to -0.2 in -1/7, -1/2, -2, 3? -1/7 Which is the nearest to 3/20? (a) -2/11 (b) 28 (c) 3 a What is the nearest to -1 in 2, 0.5, 0.4, 1/4? 1/4 What is the nearest to 6 in -1, 2, 2/5, 1/3? 2 What is the closest to -1/2 in -0.4, -0.07, -5, 3/8? -0.4 Which is the closest to -1? (a) -5 (b) 0.4 (c) -2/37 c Which is the nearest to 3/8? (a) -1/7 (b) -2/15 (c) 3 (d) 42 b What is the nearest to 1 in 2/3, 5, 0.12? 2/3 What is the closest to 1 in 1/202, 1/5, -1/4? 1/5 What is the nearest to -0.2 in 3/4, -3, 253? 3/4 Which is the nearest to -1/18? (a) -1/6 (b) 1 (c) -4 (d) 4/7 a Which is the closest to 8? (a) -1/4 (b) -0.5 (c) -3/2 (d) -9 a Which is the closest to -0.03? (a) -0.1 (b) -4 (c) -3 a Which is the closest to -0.4? (a) 0.1 (b) 0 (c) 0.136 b What is the nearest to 16 in -2, -6, -1, -0.06? -0.06 What is the closest to 1 in -1/8, -0.5, -1/5, 0.3? 0.3 What is the nearest to 1 in 0.3, 0, -3/2, 0.2? 0.3 Which is the nearest to -1? (a) -6 (b) 1/10 (c) -7 (d) -0.4 d What is the nearest to -0.3 in -3, -0.07, -4, 0.06? -0.07 What is the nearest to 1 in 2, 9, -64? 2 Which is the closest to 0.1? (a) -0.5 (b) -3 (c) 22 (d) 3 a Which is the closest to 1? (a) 3 (b) -285 (c) -0.1 c Which is the closest to -0.2? (a) -3 (b) 4/9 (c) -1/35 c Which is the closest to 1? (a) -2 (b) 10 (c) -0.2 (d) -211 c Which is the closest to 2/7? (a) -1/3 (b) 0.7 (c) -6/7 (d) 0.01 d Which is the closest to -2/9? (a) 0.2 (b) -4/5 (c) 2 a What is the closest to 0.1 in 0, -0.421, 12? 0 What is the closest to -2 in -1/3, -3/7, 1/4? -3/7 What is the nearest to 1 in 0.205, 1, -3? 1 Which is the nearest to 6? (a) -0.5 (b) -6 (c) 2 c What is the nearest to 15 in 0, 1, -4/5, -5? 1 What is the closest to 0 in -4, 20, -0.2, -2? -0.2 Which is the closest to 2? (a) 0.3 (b) 1 (c) -1 b What is the nearest to -0.2 in 1, -1/541, -0.1? -0.1 Which is the nearest to 31? (a) -1/4 (b) 3 (c) 8.9 c What is the nearest to -0.1 in 3, -5, -0.2? -0.2 Which is the nearest to -0.21? (a) -7/4 (b) 0.2 (c) 0.5 b What is the closest to -2/3 in 1, -2/3, -1/4, -3/2? -2/3 Which is the nearest to 0.1? (a) 1/3 (b) 1/5 (c) 0.13 c Which is the nearest to -6/25? (a) -0.5 (b) -4 (c) -0.3 (d) 0.3 c What is the nearest to -1 in 40, 5/2, -0.6, -5? -0.6 What is the closest to -2 in 2, 3, 7, 0.2? 0.2 Which is the closest to -3? (a) -1/4 (b) -3/4 (c) 32 b What is the closest to -1/2 in -1/2, -2, 2, 2/3? -1/2 Which is the closest to 0? (a) 22 (b) 4 (c) 0 (d) -0.5 c What is the nearest to 1/58 in -1, -0.5, 3, -2? -0.5 Which is the closest to 1? (a) 3/2 (b) 3.4 (c) -5/4 a What is the nearest to -1 in 22, 4, 2/9? 2/9 Which is the nearest to -2/5? (a) 2/3 (b) -4 (c) 9/5 (d) 1 a Which is the nearest to 1? (a) -1 (b) 0.58 (c) -4 b What is the nearest to 3 in 5, 2, -47? 2 What is the nearest to -1.7 in 3/7, -0.2, -1/4, 0.14? -1/4 What is the nearest to -1 in -2.1, -3, 2, 4? -2.1 Which is the nearest to -0.057? (a) -0.2 (b) 1/4 (c) 0.037 c What is the closest to 1/4 in -3, 0.1, -0.09? 0.1 Which is the nearest to -3? (a) -0.0058 (b) -4/5 (c) -5 (d) -0.4 c What is the nearest to 2 in -4, 118, 6? 6 What is the closest to 1/4 in 21, -0.16, -1, -2? -0.16 Which is the nearest to -5? (a) 0.05 (b) 0.2 (c) -2 c What is the nearest to 0 in -6, -3, 4, 0? 0 What is the closest to 0.2 in 0.4, 3, 5? 0.4 Which is the nearest to 0.1? (a) 9 (b) 4 (c) -5 (d) 0.1 d Which is the closest to -0.1? (a) 5 (b) -1.4 (c) -0.3 (d) 3 c What is the nearest to -2/3 in -2/13, 1/10, 4, -0.01? -2/13 What is the closest to -2 in 8, -39, -0.3? -0.3 What is the closest to 0 in -0.5, 5/3, -1, 0? 0 What is the nearest to -1 in 168, 1, -1/10? -1/10 Which is the closest to -0.1? (a) 5 (b) -4 (c) -1.9 c What is the closest to 12 in -14, 0.4, -1? 0.4 Which is the nearest to -2? (a) 3 (b) 2/7 (c) -0.07 (d) -0.3 d What is the nearest to 5 in 5, -3, -2? 5 What is the nearest to -51 in -3/4, -1/4, 2/7, 9? -3/4 What is the closest to -2 in 0, 3/4, -2/9? -2/9 Which is the closest to 0.04? (a) -1/3 (b) 2 (c) -16 a What is the closest to 11 in 0.12, 0.5, 10? 10 Which is the nearest to 3? (a) -3 (b) -3/16 (c) -5 (d) 5 d What is the nearest to 3 in 0, 0.4, -2, -91? 0.4 Which is the closest to -2? (a) -25/7 (b) 0 (c) 3 (d) -3/8 a Which is the nearest to 17? (a) -4 (b) 2/5 (c) -33 b Which is the closest to -0.1? (a) 0.473 (b) -3 (c) -5 a Which is the nearest to 2/5? (a) -44 (b) 0.4 (c) 4 (d) 2/7 b What is the closest to 2 in 3/4, -5, 2/3, -35? 3/4 What is the nearest to -1 in 1, -0.04, 5? -0.04 What is the closest to -0.19 in -1/2, 9, 1/4? -1/2 What is the nearest to -2/7 in 8/3, 2/7, -2/25? -2/25 Which is the closest to 3/2? (a) -2/9 (b) 5 (c) 49 a Which is the closest to -3? (a) 5/4 (b) -19 (c) -1 c Which is the nearest to 17? (a) 4 (b) -3 (c) 1/6 a What is the nearest to -0.06 in -24, -2, 1/7? 1/7 What is the nearest to -1/4 in 0.2, 0.06, -5? 0.06 Which is the closest to 2? (a) 1 (b) -3/5 (c) 0.1 a Which is the closest to 2? (a) 2 (b) -9 (c) -8 a What is the nearest to 2/5 in -15, 12, -2? -2 Which is the closest to -3? (a) 12/7 (b) 10 (c) 6 (d) -1 d What is the closest to 1 in 24, 14, -0.5? -0.5 What is the closest to -2/61 in -0.4, 4, -1? -0.4 What is the nearest to -111 in 5, 0, -7? -7 What is the nearest to -53 in 3, 1, -4/3? -4/3 What is the nearest to -2/3 in -2, -1, 1, -1.4? -1 Which is the nearest to -1/2? (a) -2/3 (b) 2/5 (c) 87 a Which is the closest to -1? (a) -1/9 (b) 3 (c) -0.2 (d) 0.3 c Which is the nearest to -3? (a) -3 (b) 0.1 (c) 1/24 (d) -0.2 a Which is the closest to 0? (a) 2/7 (b) 4 (c) 7/13 (d) 1/7 d Which is the closest to -0.05? (a) -1/4 (b) 2/3 (c) 629 a Which is the nearest to 1? (a) 1/3 (b) 1/7 (c) 1 (d) 2 c Which is the closest to -70? (a) 3 (b) -2 (c) 6 (d) -4 d What is the closest to 120 in -2/3, 3, 0.2? 3 Which is the nearest to 0? (a) 2 (b) -4 (c) 0.4 c What is the nearest to -1 in -4, -15, 1/16? 1/16 What is the nearest to -1/2 in 0, -2/9, 4, -2/5? -2/5 What is the nearest to 0.3 in 0.5, 3, 1/4? 1/4 Which is the closest to 3/2? (a) 2/3 (b) -0.3 (c) -2 (d) -0.05 a What is the nearest to -1 in 0.1, 2/7, 0.2, 6? 0.1 Which is the closest to 0.1? (a) 3/31 (b) 1.1 (c) -3 (d) 5/3 a What is the closest to 2/7 in 23, -0.3, -0.1, -2/13? -0.1 Which is the nearest to 0.1? (a) 11/17 (b) -0.1 (c) 2 b What is the closest to 0.1 in 21, -1, 1/2? 1/2 What is the nearest to 71 in 5, 0.2, -0.2, -2/15? 5 What is the closest to 3/4 in -0.75, 1/4, -3? 1/4 What is the closest to -1 in 1, -8, 4, 3? 1 Which is the nearest to -6? (a) 6 (b) 0 (c) -0.01 c Which is the closest to 2/5? (a) 0.4 (b) 4 (c) 0.5 (d) 1/7 a Which is the closest to 0.4? (a) 3 (b) 1 (c) 7 (d) 0 d What is the closest to -2/5 in -1.9, 1, -0.48? -0.48 What is the closest to 0.33 in -0.16, 4/5, 0.2? 0.2 Which is the nearest to 2? (a) -0.4 (b) -3/11 (c) 0.5 (d) -1 c What is the closest to 0 in 2, 33.1, -0.4, 8? -0.4 What is the nearest to 0.12 in -0.2, -4, 0.03? 0.03 What is the nearest to 3/4 in -1/10, 10, -3/2? -1/10 Which is the nearest to 0? (a) -347 (b) -5 (c) 4/7 c What is the closest to 15 in 4, 1, 0.06, -2/3? 4 What is the closest to 0 in 33, -0.02, -1, 5? -0.02 Which is the nearest to -5/12? (a) -0.2 (b)
{ "pile_set_name": "DM Mathematics" }
term in 1433, 3326, 5621, 8270, 11225, 14438, 17861, 21446? 25145 What is the next term in 23222, 186019, 627970, 1488653, 2907646, 5024527? 7978874 What is next in 15178, 14890, 14602, 14314? 14026 What is the next term in 117566, 235166, 352798, 470462, 588158, 705886? 823646 What is the next term in -2538494, -5076976, -7615456, -10153934, -12692410, -15230884, -17769356? -20307826 What is the next term in -348519, -697017, -1045477, -1393899, -1742283? -2090629 What is next in 179893, 359414, 538925, 718420, 897893, 1077338, 1256749? 1436120 What is next in -5655, -22696, -51115, -90912, -142087, -204640, -278571? -363880 What is the next term in -625, -921, -1209, -1489, -1761, -2025, -2281? -2529 What is next in -224410, -224421, -224428, -224431? -224430 What is the next term in 42179, 84419, 126721, 169085, 211511? 253999 What is the next term in 11712, 23793, 35874? 47955 What is the next term in -913, -3586, -7873, -13636, -20737? -29038 What is next in 6842012, 6842037, 6842062, 6842087? 6842112 What comes next: -1117692, -1117857, -1118018, -1118175, -1118328, -1118477, -1118622? -1118763 What comes next: 24358, 23792, 23226, 22660? 22094 What comes next: 56637, 113189, 169743, 226299, 282857, 339417? 395979 What is next in 340893, 681800, 1022719, 1363650, 1704593, 2045548, 2386515? 2727494 What is next in 5071, 21303, 48359, 86239, 134943, 194471, 264823? 345999 What is next in 10913, 43116, 96749, 171806, 268281, 386168? 525461 What comes next: 116572, 466346, 1049304, 1865446, 2914772, 4197282, 5712976? 7461854 What comes next: -52114, -59704, -67292, -74878, -82462, -90044? -97624 What is the next term in -23544, -24301, -25058, -25815, -26572, -27329? -28086 What comes next: -94201, -186648, -279095, -371542, -463989, -556436? -648883 What is the next term in -18631784, -18631802, -18631816, -18631826? -18631832 What is next in 571245088, 571245087, 571245086, 571245085, 571245084, 571245083? 571245082 What comes next: 108333, 866305, 2923659, 6930087, 13535281, 23388933, 37140735? 55440379 What comes next: 4679529, 9359058, 14038587, 18718116, 23397645? 28077174 What is the next term in 204572, 818359, 1841336, 3273491, 5114812, 7365287, 10024904, 13093651? 16571516 What is the next term in -534229, -1068458, -1602687? -2136916 What is the next term in 46981, 47074, 47231, 47452, 47737? 48086 What is next in 350010130, 350010126, 350010110, 350010076, 350010018, 350009930, 350009806, 350009640? 350009426 What comes next: -16612, -66506, -149686, -266152, -415904, -598942? -815266 What is the next term in 7525287, 15050573, 22575859? 30101145 What comes next: -445, -192, 377, 1382, 2943, 5180, 8213, 12162? 17147 What is next in 822, 3242, 7306, 13050, 20510? 29722 What is next in 234367702, 234367699, 234367694, 234367687, 234367678, 234367667, 234367654? 234367639 What is the next term in -3634, -3833, -4194, -4741, -5498, -6489, -7738, -9269? -11106 What comes next: 2942, 2263, 1594, 935, 286, -353, -982? -1601 What comes next: -19340, -18599, -17864, -17135, -16412, -15695? -14984 What is the next term in -1799767, -3599562, -5399357, -7199152, -8998947, -10798742? -12598537 What is next in 11841975, 23683944, 35525913, 47367882, 59209851? 71051820 What is the next term in -176925, -353784, -530643, -707502, -884361? -1061220 What is the next term in -34307, -137228, -308771, -548936, -857723? -1235132 What is the next term in -2488088, -9952364, -22392828, -39809480, -62202320, -89571348, -121916564? -159237968 What is the next term in 115549, 115448, 115347, 115246, 115145, 115044? 114943 What comes next: -956, -987, -888, -659, -300? 189 What is the next term in 89025, 88902, 88779? 88656 What is the next term in -4148, -4955, -5762, -6569, -7376, -8183? -8990 What is the next term in 1222723, 2445469, 3668215? 4890961 What comes next: 123761, 495055, 1113873, 1980215, 3094081, 4455471, 6064385? 7920823 What is the next term in 995296, 3981213, 8957730, 15924841, 24882540? 35830821 What comes next: -1276, -5719, -13124, -23491? -36820 What comes next: -33959192, -33959215, -33959260, -33959333, -33959440, -33959587, -33959780, -33960025? -33960328 What is the next term in -8930655, -8930654, -8930653, -8930652? -8930651 What is the next term in 228653, 456773, 684893? 913013 What comes next: -59157, -59179, -59217, -59277, -59365, -59487, -59649, -59857? -60117 What is next in -8291474, -8291519, -8291564, -8291609, -8291654, -8291699? -8291744 What is the next term in 23920, 44890, 65860? 86830 What is next in -1406341, -11250878, -37971757, -90007150, -175795229? -303774166 What is the next term in 30703391, 30703387, 30703381, 30703373, 30703363, 30703351, 30703337? 30703321 What comes next: 6007015, 6007020, 6007025, 6007030? 6007035 What comes next: 15611, 15677, 15743, 15809? 15875 What is the next term in -7586, -8321, -9068, -9833, -10622, -11441? -12296 What is the next term in -2216, -2247, -2246, -2213, -2148? -2051 What comes next: -9763, -9488, -9213, -8938, -8663, -8388? -8113 What is the next term in -15639574, -31279147, -46918720, -62558293, -78197866? -93837439 What comes next: 918, 9258, 32880, 79740, 157794, 274998, 439308, 658680? 941070 What is the next term in -2241, -4853, -8191, -12621, -18509, -26221, -36123, -48581? -63961 What is next in -2018916, -4037814, -6056712, -8075610, -10094508? -12113406 What is the next term in 23366, 43521, 63676, 83831, 103986? 124141 What is the next term in 483939, 968410, 1452881, 1937352, 2421823? 2906294 What is next in -39859, -155224, -347499, -616684, -962779, -1385784, -1885699? -2462524 What comes next: 18580, 15599, 7506, -8255, -34240, -73005, -127106? -199099 What comes next: -5752, -11133, -16516, -21901, -27288? -32677 What is the next term in -414, -264, -172, -120, -90, -64? -24 What is the next term in 264730085, 529460169, 794190253, 1058920337, 1323650421? 1588380505 What is the next term in -923491, -923476, -923449, -923410, -923359, -923296? -923221 What is next in 9182597, 9182595, 9182593, 9182591, 9182589, 9182587? 9182585 What is the next term in -22832831, -45665661, -68498491, -91331321? -114164151 What is next in 227639, 227194, 226749, 226304, 225859, 225414? 224969 What is the next term in 5070047, 5070046, 5070045? 5070044 What is the next term in 140284, 281589, 422894, 564199? 705504 What is the next term in 52952530, 52952522, 52952514, 52952506? 52952498 What is the next term in -533, -831, -1139, -1463, -1809, -2183? -2591 What is the next term in 1346, 2625, 3852, 5003, 6054? 6981 What comes next: 11361, 90487, 305317, 723723, 1413577, 2442751, 3879117? 5790547 What is next in 12866245, 25732480, 38598715, 51464950? 64331185 What is the next term in -47993, -96035, -144113, -192239, -240425, -288683, -337025, -385463? -434009 What comes next: 4816134, 4816117, 4816088, 4816047, 4815994? 4815929 What comes next: 650706484, 650706483, 650706482? 650706481 What comes next: -1522784, -1522806, -1522842, -1522898, -1522980, -1523094, -1523246? -1523442 What is the next term in -14388, -28275, -42162? -56049 What is the next term in 3497, 7688, 13249, 20864, 31217, 44992, 62873, 85544? 113689 What is the next term in 2349, 20328, 70345, 168804, 332109, 576664, 918873? 1375140 What is next in -2892138, -11568522, -26029170, -46274088, -72303282? -104116758 What comes next: 1050162088, 2100324175, 3150486262, 4200648349? 5250810436 What comes next: -29985, -119889, -269729, -479505, -749217, -1078865? -1468449 What is the next term in 3987, 4690, 5419, 6168, 6931, 7702, 8475? 9244 What comes next: -1240643, -1240644, -1240645, -1240646, -1240647? -1240648 What is next in 634204, 2536846, 5707918, 10147426, 15855376, 22831774, 31076626? 40589938 What is the next term in 8783, 33737, 74857, 132149, 205619, 295273, 401117, 523157? 661399 What comes next: -324997, -325169, -325341, -325513, -325685? -325857 What is the next term in -31944, -31565, -30996, -30243, -29312? -28209 What is next in 297574, 296961, 296348, 295735, 295122, 294509? 293896 What comes next: 2286513, 4573028, 6859541, 9146052, 11432561, 13719068? 16005573 What is next in -4553, -17127, -37743, -66395, -103077, -147783, -200507, -261243? -329985 What is the n
{ "pile_set_name": "DM Mathematics" }
h be s(5). Let d be 2/5 - 34/10. Are h and d non-equal? False Let c = -597 + 4783/8. Which is smaller: c or 2? c Let q be (-1)/3*(-4 - -1). Let r be q/3 - 4/(-6). Which is bigger: -2/17 or r? r Let a = -83 + 87. Which is greater: 0.7 or a? a Let g be (3/8)/((-6)/(-4)). Let c be 5/2 + (-3)/(-6). Suppose -2 = -r - c. Which is greater: r or g? g Suppose 0 = 2*s - 6*s + 24928. Let l = s - 592032/95. Let n = 6/19 + l. Is -2 greater than or equal to n? False Let b = 134 + -79. Which is greater: -2/7 or b? b Suppose -t + 0*t + 2 = 0. Let n be (-10)/6 - (-10)/15. Let r be 8/14 + n + 1. Which is smaller: r or t? r Let n = 19 + -18.6. Which is greater: -2 or n? n Let m = 38 - 39. Is m < -4/7? True Suppose 60 = 2*p + 2*p. Let o be 5/(p/6) - 0. Which is greater: 2/7 or o? o Suppose -4*a - 8 = 4. Let i(t) = -2*t - 6. Let v be i(-5). Suppose 4*y + p = -1, -y = -0*y - v*p + 13. Are a and y equal? False Suppose -29 + 9 = -5*k. Suppose -k + 12 = -2*q. Is -10/3 >= q? True Let b = 7 + -7. Which is smaller: -2 or b? -2 Let d be -2 + -2 - (1 - (-723)/(-147)). Is 1 != d? True Let r = -2.5 - -1.4. Let y = -2.1 - r. Is -4/3 less than or equal to y? True Suppose 5*k + 6*k = -5*k. Which is smaller: k or -5/28? -5/28 Let q = 4 + -5.3. Do 0 and q have the same value? False Suppose 3*i = -2*i - 510. Let o be (-152)/i*(-27)/18. Let c = 313/102 + o. Which is smaller: c or 2? c Let z be (-6*3/(-96))/((-3)/2). Is 1 greater than z? True Let h = -34698/343475 - 110/1249. Let p be 2 - (2208/(-550))/(-2). Let a = h - p. Is a not equal to 0? True Let j(x) = 20*x**2 + 2. Let g be j(4). Let w = -2248/7 + g. Which is smaller: 0 or w? 0 Suppose 4*b = 3*b + 2. Suppose -5*l = -b*l. Suppose 4*m - 11 = -3*a, -2*m + l = -a - 3. Which is bigger: 5/2 or m? 5/2 Suppose 15 = -0*g + 3*g - 3*f, 2*g + 2*f = -6. Suppose 0 = -x + 1 + 1. Suppose -x*c = -4*c. Which is smaller: c or g? c Let i = -2.6 - -0.6. Let k be -4 + 65/9 - (-8)/(-36). Is k not equal to i? True Let c(y) = y**3 - 5*y**2 - 4*y - 3. Let z be c(5). Which is smaller: -24 or z? -24 Suppose -2*k + 2 = 0, 0 = -2*o - 0*k - 5*k + 3. Let g = o - 2. Let c = 1 + -2. Which is smaller: g or c? g Let a be ((-3)/(-114))/((-2)/(-8)). Let c be ((-6)/3 - 1) + 27. Let n be (-6)/(-10) + c/(-15). Which is bigger: a or n? a Suppose -4*m + 5*f + 42 = 0, 4*f = 2*m - m - 5. Let l = -13 + m. Are 4 and l nonequal? True Let q(d) = d**3 + 1. Let p be q(0). Suppose -5*j = 4*z - 22, -6*z + 4*z = -3*j. Suppose 6 = 2*g - 4*k + z*k, -2*k - 8 = -2*g. Which is smaller: p or g? p Let n = 1.6 - 3.6. Which is smaller: -0.1 or n? n Let n be (-39)/(-2) - (-4)/16. Is n less than 20? True Let d = -66 - -64. Is 7 smaller than d? False Let b be (2/6)/(10/(-12)). Let y = 23 - 37. Let f = y + 15. Which is greater: f or b? f Let o(b) = 22*b**2 + b - 1. Let z be o(1). Let c = z + -10. Let w be (6/c)/((-1)/1). Is w smaller than 0? True Let o = 34 - 33. Which is greater: 2/119 or o? o Let z = 1 + -2. Let o = 2.14 + -0.14. Let b = o + z. Which is smaller: 0.1 or b? 0.1 Let n = -1.2 - -0.2. Let x = 1/202 - -393/2222. Which is greater: n or x? x Let s be -2*(-1)/(-1)*-1. Let h(b) = s*b**3 - 4*b**2 + 4*b**2 - b**2 - 6*b**3. Let o be h(1). Which is bigger: o or -4? -4 Suppose 3 = -5*j - 7. Let h = -8 + j. Let r(x) = x + 11. Let i be r(h). Which is smaller: i or 2? i Let g(z) = z**3 + 3*z**2 - 3*z - 1. Let o be g(-4). Let v = 43 - 47. Which is bigger: v or o? v Suppose -d - 5 = 4*d. Let a = -5 - -6. Let t be a + -1 + 6/27. Is d less than or equal to t? True Suppose 7*n = 4*n + 6. Suppose 5*v + 13 = -n. Which is smaller: -4 or v? -4 Let m(h) = -2*h + 15. Let i be m(11). Let g = i + 6. Are g and -1/3 non-equal? True Let v(y) = y**2 + 11*y - 26. Let o be v(-13). Let g = 4 + -6. Let u(f) = -f - 3. Let s be u(g). Which is smaller: o or s? s Let i = -0.116 + -0.014. Which is smaller: i or 0? i Let t = -186 - -176. Suppose -4*m - 5*y - 3 = 16, 36 = -m + 5*y. Is m != t? True Let p(h) = h**3 - h**2 - 2*h + 1. Let o be 20/25 - (-2)/10. Let r be p(o). Is r greater than or equal to 1? False Let w(r) = -2*r - 3. Let j be w(-2). Suppose -3*l = 2*y + 6, 5 = -2*l + 2*y + j. Is 0.6 greater than or equal to l? True Let s(a) = a**2 + 5*a - 14. Let o be s(-7). Which is smaller: 1/2 or o? o Let x(o) = -2*o**3 - o**2 - o - 4. Let q be x(-2). Does 10 = q? True Let y(t) = 3*t**2 - 2*t + 2. Let x be y(1). Which is smaller: x or -5? -5 Let c be ((-15)/(-12))/((-6)/16). Which is smaller: c or 0? c Let b be 8/6*1/(-6). Suppose -1 = -5*w - 16. Let z be ((-10)/15)/((-2)/w). Which is greater: z or b? b Suppose 0 = -2*x + 8 + 2. Let r(z) = -z**2 + 6*z - 6. Let t be r(x). Which is smaller: t or -1/2? t Let k = 7 + -7. Let d(m) = -m**2 - m. Let h be d(k). Let l(v) = -v**3 + v**2. Let b be l(h). Which is greater: -3 or b? b Let d = -77 + 97. Is d at least 99/5? True Let q = 1 + -2. Let c = 2 - -3. Suppose v + 2*v - 10 = -5*u, 4*v - c*u = -10. Is v at most as big as q? False Suppose -2*w - 47 = s - 3*w, -3*s - 121 = 2*w. Is s at least 1? False Suppose -6*m = 7*m - 767. Which is greater: m or 58? m Suppose 0 + 15 = 5*h. Suppose 0 = q + 4, 2*q = h*f - q - 24. Suppose l + f*l = 0. Is 3 greater than l? True Let d be -65*((-4)/8 - (-36)/40). Which is smaller: d or -25? d Let x be (-3 - -5) + 9/(-4). Let n = 12 + -13.4. Let k = n + 1.7. Is k greater than or equal to x? True Suppose -5 - 1 = -3*i. Suppose i*c = 3 + 9. Suppose -2*q - c = 0, 2*m + 2*q - 2 = 4*q. Is -7/4 equal to m? False Let a(w) = w**3 - 5*w**2 - 6*w + 2. Let t be a(6). Suppose 0 = 5*j - t*g + 10, 3*j - 8 = 7*j + 3*g. Which is bigger: j or -5/4? -5/4 Let t = 78 - 78.03. Let u be (-12)/16 - 14/(-40). Which is smaller: t or u? u Let q(a) = -2*a - 5. Let j be q(4). Let z be (-41)/j + 12/(-78). Which is greater: z or 5/3? z Let u = 35384 + -248547/7. Let x = 11 - -112. Let k = x + u. Which is smaller: -1 or k? -1 Let z be (4 + -7)*3/(-9). Let u be 2 - (-1 + -1) - z. Suppose -b + r = 0, -8*b + 4*b + 14 = u*r. Which is smaller: 4 or b? b Let o = -5 - -1. Let c be -8*2/(-1 - -3). Let a = -13 - c. Is o equal to a? False Let h be (3 + 358/(-120))*-1018. Let l = -101/6 - h. Let a = -7/60 - l. Which is bigger: a or -2/17? -2/17 Let m be 2 + (-2 + 3)/1. Let z be 1 + (4 - 69/15). Which is smaller: m or z? z Let s be 18/(-32)*1*(-9 + -3). Which is greater: 7 or s? 7 Let x = -6 - -6. Suppose x = -3*b + 3 - 0. Is b at most -1/4? False Suppose 7*x + 3 = 4*x. Let v be -2 - ((-122)/42 - -1). Is x less than v? True Let i(y) = -y**2 + 6*y + 8. Let g be i(7). Let n = -53 + 211/4. Is n less than g? True Let h = 214 - 216. Let l be 22/8 + 1/4. Let d = 1 - l. Is h equal to d? True Let q be 0 + -2 - (-58)/4. Let n = 12 - q. Which is greater: n or 2? 2 Suppose 8 = -l + 5*f, -5*f + 0 = -10. Let j(c) = -4 - l + 0 - c. Let h be j(-7). Which is smaller: 2 or h? h Let n = 0.32 + -0.22. Which is bigger: n or -0.012? n Let t(p) = p**2 + 3*p - 10. Let x be t(2). Is x less than or equal to 14/19? True Let z = -15681/14 - -2157/2. Let n = 42 + z. Let o be 9 - 84/10 - (-4)/10. Are n and o nonequal? True Let z(s) = s**3 + 2*s**2 - s + 5. Let m be z(-3). Which is smaller: -3 or m? -3 Suppose -q = -h - h + 19, -3*q + 6 = h. Let o be 3/h - (-44)/(-60). Let k = -6 + 4. Is k at least o? False Suppose f - 2*m + 6 = -3*f, -5*f + 4*m - 3 = 0. Let h = 4 + f. Which is greater: h or -3/8? h Let d = -11 - -15. Let i = d + -3.6. Suppose -4*h = -3*a, 0*h = -4*a - 4*h. Which is smaller: i or a? a Let v = -259/3 - -87. Are 0.1 and v unequal? True Let p = -2 + 13. Let u = p - 5. Which is smaller: 5 or u? 5 Let k(f) = -f - 4. Let p be k(-4). Let s be (-60)/(-70) + (-61)/63. Is p greater than s? True Let w = -5.94 - -6. Let a = w + -0.16. Is 3 < a? False Let r be 1 - -10*(-2 - -3). Which is smaller: r or 12? r Let x be (-1)/1*1 + 1. Which is smaller: -2/61 or x? -2/61 Let b be 40/(-25)*(-10)/(-26). Do -2 and b have different values? True Suppose 0 = 2*t - 2 + 12. Let h = t + 5. Which is smaller: h or -5? -5 Let z = 1.1 + -1.1. Let c = -1.1 + 1. Let t = z - c. Are 0.1 and t equal? True Let t be (-14)/4*(2 - 4). Suppose 4*b + t = 3*m, b + 3*m - 2 = -0. Is b <= -2? False Let b = 9.1 + -9.5. Are 2/19 and b nonequal? True Let l = -9677/9 + 1069. Which is smaller: l or 0? l Let t be 2/(-6)*6/7. Suppose -2*f = 2*f. Let v =
{ "pile_set_name": "DM Mathematics" }
re the prime factors of v? 2, 3 Suppose -5*k - h + 4*h = 0, 4*k - 5*h = 0. Suppose k*v + 2*v = 20. List the prime factors of v. 2, 5 Suppose -58 = -2*u - 8. List the prime factors of u. 5 List the prime factors of -6*(1 - (-20)/(-8)). 3 Let v(c) = 1 - 5*c + c - 18*c. Suppose -3*k - 2 = 2*k + 3*m, k = 4*m - 5. List the prime factors of v(k). 23 Suppose v + 2*x + 6 = 3*v, 5*v + 5*x - 5 = 0. Suppose -f + v = 4. List the prime factors of 2/12*f*-39. 13 Suppose 0 = -4*p - 8 - 0. Suppose 3*s = 5*m - 12, s = 3*m - 0 - 4. List the prime factors of p/8 - 17/s. 2 Let f = 41 + -36. What are the prime factors of f? 5 Let p = 17 - 27. List the prime factors of 4*4 + (p - -7). 13 Let b(i) = i**3 - 4*i**2 + 4*i - 2. Let w be b(2). Let l be 4/(w/2*1). List the prime factors of (-42)/(-8) + l/16. 5 Suppose 6*m - 30 = 3*m. What are the prime factors of m? 2, 5 Let i = 1079 + -691. What are the prime factors of i? 2, 97 Let z = -11 + 7. Let s(v) = v**3 + 4*v**2 - 2*v - 6. What are the prime factors of s(z)? 2 What are the prime factors of ((-5)/2 - 0)*(-1316)/35? 2, 47 Suppose 0 = -4*i + 90 - 14. What are the prime factors of i? 19 Suppose 1 + 69 = 5*m. List the prime factors of m. 2, 7 Let t = 124 - 38. Suppose -4*c + t = -18. What are the prime factors of c + -3 - (-6)/(-2)? 2, 5 Suppose -u + 97 = -5*y - 7, -2*u = -4*y - 232. List the prime factors of u. 2, 31 Let i(b) = -b**3 + 8*b + 6. What are the prime factors of i(-5)? 7, 13 Let c = 68 + 32. List the prime factors of c. 2, 5 Let c = -7 + -3. Let j = c + 19. List the prime factors of j. 3 Suppose 5*x = 3*r - 205, 5*r = 2*x - 80 + 447. What are the prime factors of r? 3, 5 Let p(a) = -3*a - 4. Let u be p(-4). Let t(s) = s**3 + 4*s**2 - 5*s. Let z be t(-5). Suppose z = 2*o - o - u. What are the prime factors of o? 2 Suppose 2 = -p - 2. List the prime factors of 20*(1 + (-1)/p). 5 Let w = -11 - -32. Suppose 2*p - u - w = -p, 4*u = 12. List the prime factors of p. 2 Suppose 0*t - 2*t + s = -165, -2*s = -3*t + 245. Suppose 2*z + 2*z = 0. Suppose z = -3*l - 2*l + t. List the prime factors of l. 17 Suppose 0*w - 2 = -w. Suppose 5*j - z = 25, 4*j - w*z = -z + 21. What are the prime factors of j? 2 Let a = 21 + -33. Let m = -10 - a. List the prime factors of m. 2 Let z = 150 + 25. What are the prime factors of z? 5, 7 Let t(y) = 8*y**2 + y + 1. Let x be t(-1). Suppose 3*p - x*p = -85. List the prime factors of p. 17 Let x = -26 - -111. What are the prime factors of x? 5, 17 Let v be -3 - (-6 + (1 - 0)). Let o be 170/8 + v/(-8). Suppose -y = -0*y - o. List the prime factors of y. 3, 7 Suppose -3 - 94 = -f. What are the prime factors of f? 97 Let c = 8 - 4. Let t be (-788)/(-20) - c/10. Let h = t - 20. What are the prime factors of h? 19 Let x(h) be the third derivative of 3*h**5/20 + h**3/6 - 3*h**2. What are the prime factors of x(-1)? 2, 5 Suppose -4*a = s, -3*s + 4*a + 60 = a. What are the prime factors of s? 2 Let h(u) = -u**3 - 7*u**2 + 4*u - 2. Let d be h(-7). Let x = d + 42. What are the prime factors of x? 2, 3 Suppose -4*l + 12 = -8, 2*j + 2*l - 764 = 0. What are the prime factors of j? 13, 29 Let d be ((-1)/2)/(1/4). Let k be 0 + (2 - 18) + d. What are the prime factors of 345/27 - 4/k? 13 Let j = -315 + 444. List the prime factors of j. 3, 43 Suppose c - 3*n - 73 = 0, 2*c + 0*c = 4*n + 140. List the prime factors of c. 2 Suppose 4*q - 8 = 4. Suppose -2*u + q*u = 0. Suppose u = -3*m + 7*m - 32. List the prime factors of m. 2 Let o = 22 + -19. Let w(b) = 0*b - b - 4 + 4*b. What are the prime factors of w(o)? 5 Suppose -5*t + 121 = -4. Let k = t - 13. What are the prime factors of k? 2, 3 List the prime factors of (2/3)/(16/312). 13 Suppose 0 = -2*h + s + 1, -6*h + 5*s + 5 = -2*h. List the prime factors of (-2 + h)/(-2)*11. 11 Let i = -88 + 304. What are the prime factors of i? 2, 3 List the prime factors of (-52)/(-3) - 2/6. 17 Let d(q) be the second derivative of -q**5/20 - 5*q**4/12 + q**2/2 + 4*q. Let a be d(-5). Suppose -5*v + 21 = a. What are the prime factors of v? 2 Suppose -19*d + 6*d = -5525. What are the prime factors of d? 5, 17 Suppose -7*w + 20 = -2*w. Let b be -1 + -1 - (-8)/w. Suppose 5*t = -b*t + 85. What are the prime factors of t? 17 Let d(x) = 2*x**2 + 5*x - 7. Suppose 5*k + 4*y - 3*y + 29 = 0, 2*y = -8. List the prime factors of d(k). 2, 3 Let o(n) = -n - 3. Let k(t) = 6*t + 19. Let y(m) = 6*k(m) + 39*o(m). List the prime factors of y(-4). 3 Suppose 0 = 4*o + z - 247, 4*o + 4*z - 345 = -101. List the prime factors of o. 2, 31 List the prime factors of (9/(-6))/((-3)/52). 2, 13 Suppose 0 = -2*c + 3 + 19. Suppose -5 = -x + c. List the prime factors of x. 2 Suppose -6*q + 30 + 378 = 0. List the prime factors of q. 2, 17 List the prime factors of 7/((-77)/(-970)) - (-12)/(-66). 2, 11 Suppose 22*t - 19*t - 366 = 0. List the prime factors of t. 2, 61 Let w be 0 - (-3)/(9/(-84)). What are the prime factors of w/(1*(-2)/2)? 2, 7 Let q be 0/((-1 - 2)/(-3)). Let j = q + 2. Suppose k - 1 = -n, -3*k - 1 - 2 = j*n. List the prime factors of n. 2, 3 Let q be 0*(-1)/2 + -51. Let m = -23 - q. List the prime factors of m. 2, 7 Let n be 3/((-10)/(-8) - 2). Let o = 4 - n. What are the prime factors of 98/o - (-3)/(-12)? 2, 3 Let r(w) = -w**3 + 5*w**2 + 2*w - 1. What are the prime factors of r(4)? 23 List the prime factors of (1*(-2 - 263))/(-1). 5, 53 Suppose 4*i = -5*j + 101, 3*i + 2*i = 2*j - 47. What are the prime factors of j? 3, 7 Suppose 205 = 5*r + 5. Suppose -7*x = 10 + 4. What are the prime factors of (7/(-14))/(x/r)? 2, 5 Let p = 6 - 2. Suppose 0*w = p*w - 72. Suppose 6 = 2*r - w. What are the prime factors of r? 2, 3 Suppose -12 = -3*l + 2*b, 2*b = 1 - 7. Let p be -2 + 4 + (0 - l). Suppose -5*r - 4 = k, p = -k - 3*r + 2 - 0. List the prime factors of k. 11 Suppose 2*a + 1082 = 3*c, -1603 - 194 = -5*c - 3*a. List the prime factors of (12/5)/(54/c). 2 Let c(a) be the second derivative of a**4/12 - 2*a**3/3 + 3*a**2 - 7*a. Let n = 4 - -1. List the prime factors of c(n). 11 Let i = 133 + -64. List the prime factors of i. 3, 23 Let u be 8 + -11 - -3*1. Suppose -5*o + u*o + 125 = 0. What are the prime factors of o? 5 Suppose 0*q = 4*q - 44. Suppose 0 = c + 2*y - q, 0 = 4*c - y - y - 24. What are the prime factors of c? 7 Let w(l) = 2*l**2 - 19*l + 13. List the prime factors of w(13). 2, 13 Suppose 4*b - 197 = -3*p, -2*b + 4*b = -5*p + 333. What are the prime factors of p? 67 Let j be (4/6)/((-2)/(-6)). Suppose 0 = -0*b + 4*b + u + j, -b - u - 2 = 0. Suppose b = -2*v - 3*r + 22, 4*v - 5*r - 44 = -2*r. What are the prime factors of v? 11 Suppose 3*o + 5*a - 30 = o, -3*a + 32 = 4*o. Let b = o - 5. Let w = 4 + b. What are the prime factors of w? 2 Suppose -3*z + 389 - 112 = -v, -2*v - 368 = -4*z. List the prime factors of z. 3, 31 Suppose 0 = 5*y + 2*t + 2, 4*t + 5 = -3*y - t. Suppose 3*i = -4*k - 12, 0*i + 3*i - 4*k - 12 = y. Suppose 32 = -i*h + 2*h. List the prime factors of h. 2 Let i(f) = 171*f**2 - 3*f. What are the prime factors of i(-1)? 2, 3, 29 Suppose 0 = -5*r + 3*r + 5*a - 1, -r + 3*a = -1. List the prime factors of r/(-20) + 196/10. 2, 5 Suppose -s = -2*t + 5, 3*t + 4*s - 2 = -0. What are the prime factors of t? 2 Let v be 3/15 - 14/(-5). Suppose -4*s + v*s = 3*z - 67, 3*z - s - 71 = 0. What are the prime factors of z? 23 Let j = 15 + -5. Let a be (-4)/(-10) - (-46)/j. Suppose -5*w + k + 44 = a*k, -w + 28 = -4*k. List the prime factors of w. 2, 3 Suppose -2*l + 3*p = -2*p - 29, 13 = -l - 3*p. What are the prime factors of l? 2 Let x(i) = i**3 + 3*i**2 + i + 2. Let z be x(-3). Let o be 2/(-6)*(6 - 3). What are the prime factors of -4*(5/o - z)? 2 Let v(l) = -2*l + 1. Let z be v(-6). Suppose -z = -3*f + 11. List the prime factors of f + (-1 + 2 - 1). 2 Suppose 0 = 4*j + 29 + 35. Let d = j - -25. What are the prime factors of d? 3 List the prime factors of 779/5 - (1 - 6/30). 5, 31 Let w be 8/(-28) - 60/(-14). Let i = 1 + w. What are the prime factors of i? 5 Suppose r - 14 = 3*w, 2*r + r - 2*w = 21. Let k(f) = f**2 - 5*f + 4. Let l be k(r). Suppose 0 = l*o - 3*o - 3. What are the prime factors of o? 3 Let n(m) = -4*m - 8. List the prime factors of n(-11). 2, 3 Suppose -3*u - 4*u = -350. List the prime factors of u. 2, 5 Suppose l = 3*l + 32. Let v = 4 - 8. What are the prime factors of (-4)
{ "pile_set_name": "DM Mathematics" }
Factor 5*o**4 + 2*o**5 + 2*o**5 + t*o**5 - 12*o**5. -5*o**4*(o - 1) Let a(w) be the second derivative of -2*w**7/483 - 7*w**6/345 + 43*w**5/230 - 43*w**4/138 - 5*w**3/69 + 14*w**2/23 + 2309*w. Solve a(j) = 0. -7, -1/2, 1, 2 Let c(z) = -3*z**3 - 1437*z**2 - 5462*z - 4054. Let u(t) = -2*t**3 - 1078*t**2 - 4096*t - 3040. Let r(d) = -10*c(d) + 13*u(d). Suppose r(s) = 0. Calculate s. -85, -3, -1 Let p(n) be the second derivative of -11/70*n**5 + 0 - 4/35*n**6 + 8/7*n**2 + 23/21*n**4 + 51*n + 5/147*n**7 - 12/7*n**3. Determine w so that p(w) = 0. -2, 2/5, 1, 2 Let -2/3*n**4 + 176/3*n**3 + 344/3 - 114*n**2 - 176/3*n = 0. Calculate n. -1, 1, 2, 86 Suppose 16*t - 14*t = 38. Suppose 2*w - 13 = -w - 2*r, 0 = -4*w - r + t. Factor 5*o**2 - w*o - 14 - 13 + 27. 5*o*(o - 1) Find o such that 185/4 - 1/4*o**2 + 46*o = 0. -1, 185 Let n be ((-11)/(121/(-11)))/((-546)/(-84)). Suppose 4/13*z + 0 + n*z**2 = 0. What is z? -2, 0 Let z(c) be the second derivative of -c**5/40 - 91*c**4/24 + 40*c**3 + 535*c. Factor z(x). -x*(x - 5)*(x + 96)/2 Suppose -107*x + 5660 - 86 = 224. Suppose -x*n**3 + 2200*n + 390*n**2 + 2420 + 5/4*n**4 = 0. What is n? -2, 22 Let m(d) be the third derivative of d**8/896 - 17*d**6/160 - 23*d**5/40 - 87*d**4/64 - 7*d**3/4 - 2*d**2 + 131*d - 2. Factor m(p). 3*(p - 7)*(p + 1)**3*(p + 4)/8 Let t = 3644 + -29151/8. Let y(w) be the third derivative of 1/20*w**5 - 8*w**2 - 1/70*w**7 + 0*w**3 + 0 - 1/40*w**6 + t*w**4 + 0*w. Let y(p) = 0. Calculate p. -1, 0, 1 Let i(m) be the second derivative of m**4/48 - 307*m**3/12 + 94249*m**2/8 - 5*m + 154. Suppose i(y) = 0. What is y? 307 Solve -99*g + 10643*g**3 + 92*g**4 - 848*g**2 - 605*g - 10691*g**3 - 8*g**5 + 4*g**5 = 0 for g. -2, -1, 0, 4, 22 Suppose -10*t + 7 = -13. Let m = 60 + -54. Factor -1125 + 8*c**t - 7*c**2 + 150*c - m*c**2. -5*(c - 15)**2 Let j(l) be the second derivative of -89*l + 0*l**3 + 5/4*l**4 - 10*l**2 + 1/4*l**5 + 0. Determine r so that j(r) = 0. -2, 1 Determine q, given that -8*q + 31*q - 10 + 70 + 0*q**2 + q**2 = 0. -20, -3 Let q(l) = -6*l**2 - 203*l - 714. Let g be q(-4). Factor -3/8*t**g - 9/4 + 21/8*t. -3*(t - 6)*(t - 1)/8 Let g(q) be the second derivative of q**7/399 - 6*q**6/95 + 48*q**5/95 - 55*q**4/57 - 75*q**3/19 - 189*q. Let g(y) = 0. Calculate y. -1, 0, 5, 9 Let y(k) be the third derivative of -1/40*k**5 + 1/8*k**4 - 7*k**2 + 5 + 0*k - 1/4*k**3. Factor y(l). -3*(l - 1)**2/2 Let i(d) be the first derivative of -2*d**3/33 + 498*d**2/11 + 998*d/11 - 1222. Find u, given that i(u) = 0. -1, 499 Let t(i) = i**2 - 3*i - 14. Let q be t(6). Suppose -3*g = 4*b - 39, b + b + q*g = 32. Factor 0*u + 30*u**2 + b*u + 6*u**4 - 4*u**3 - 18*u**3 - 20*u**2. 2*u*(u - 3)*(u - 1)*(3*u + 1) Let z be -1936 + ((-132)/110)/(6/15). Let i = z - -1942. Factor 3/2*c + 3/2*c**2 - 3/2*c**i - 3/2. -3*(c - 1)**2*(c + 1)/2 Let c = -305 - -308. Suppose 2*t + 0*t**5 - 3*t**4 - 5*t**c - 65*t**2 + 70*t**2 + t - 2 + 0*t + 2*t**5 = 0. What is t? -1, 1/2, 1, 2 Let i(s) be the second derivative of -5*s**7/21 + 18*s**6/5 - 17*s**5/5 - 32*s**4/3 + 13*s**3 + 10*s**2 + 13855*s. Solve i(u) = 0. -1, -1/5, 1, 10 Let f = 1/7409 + 7404/37045. Let i be (-3)/(-5)*((-16)/12)/(-1). Solve 2/5*b + 7/5*b**2 - f + i*b**3 = 0 for b. -1, 1/4 Let d = 83 - -9. Find i such that 12*i**2 + 14*i - 94*i**3 - 6*i + 16*i**2 + d*i**3 - 7*i**4 = 0. -2, -2/7, 0, 2 Let s(n) be the first derivative of n**6/270 - 69*n + 69. Let c(y) be the first derivative of s(y). Factor c(t). t**4/9 Let f(j) = -37*j**4 + j**3 + 57*j**2 - 120*j + 85. Let v(u) = -21*u**4 + u**3 + 28*u**2 - 60*u + 44. Let k(c) = -4*f(c) + 7*v(c). Solve k(t) = 0. -8, 1, 2 Let a be (-6 - 0) + 7*(-20)/(-21). Let i(d) be the first derivative of 15 - 3*d**2 + a*d**3 + 0*d. Factor i(s). 2*s*(s - 3) Let v(p) be the third derivative of -p**7/210 + 3*p**6/40 - 23*p**5/60 + 5*p**4/8 + 1891*p**2. Factor v(w). -w*(w - 5)*(w - 3)*(w - 1) Let l(j) be the second derivative of 5*j**7/42 - 5*j**6/3 - 87*j**5/4 - 185*j**4/3 + 130*j**3/3 + 480*j**2 - 556*j + 2. What is u in l(u) = 0? -3, -2, 1, 16 Let i(v) be the second derivative of -1/200*v**5 - 1/12*v**3 + 3*v - 4 - 1/10*v**2 - 1/30*v**4. What is n in i(n) = 0? -2, -1 Suppose -13*k + 10*k = 2*l + 122, 0 = 2*k - l + 93. Let v be 9/5*k/(-66). Suppose 4/5*d**2 - 4/5*d**4 + 2/5*d**5 + v*d - 8/5*d**3 + 0 = 0. What is d? -1, 0, 1, 3 Let b(i) be the first derivative of -5/3*i**4 - 16*i**2 - 28/3*i**3 + 11*i + 22. Let h(y) be the first derivative of b(y). Factor h(r). -4*(r + 2)*(5*r + 4) Find z, given that -27*z**2 + 38148 + 768*z + 456*z - 11*z**2 + 3*z**3 - 129*z**2 - 4*z**2 = 0. -11, 34 Let q = 403/2277 + 1/207. Let d(m) = -9*m + 119. Let t be d(13). Factor 2/11*f**3 - q*f + 2/11*f**t - 2/11. 2*(f - 1)*(f + 1)**2/11 Suppose -46*o = -23*o - 63181. Suppose -65*b - 96 - o*b**2 + 2752*b**2 + 26 = 0. What is b? -1, 14 Let v(d) be the second derivative of d**6/70 - 3*d**5/35 - 4*d**4/7 + 8*d**3/7 + 72*d**2/7 + 40*d + 19. Factor v(y). 3*(y - 6)*(y - 2)*(y + 2)**2/7 Find g such that -2*g**5 + g**5 - 326*g**2 + 133*g**4 - 4*g**3 + 336*g**2 - 139*g**4 + g**3 = 0. -5, -2, 0, 1 Let l(v) = 2*v**2 + 49*v - 3. Let u(j) be the first derivative of j**3/3 + j**2 - j - 48. Let x(c) = -l(c) + 3*u(c). Determine q so that x(q) = 0. 0, 43 Suppose 5*m + 2*y + 0*y - 68 = 0, 4 = 2*m - 5*y. Solve 4*r**2 - m*r**2 - 360*r + 12*r**2 + 8100 = 0 for r. 45 Factor -3/2*n**2 + 51*n + 105/2. -3*(n - 35)*(n + 1)/2 Let b(l) be the third derivative of -153*l**2 + 0*l + 1/100*l**5 + 0*l**3 + 0 - 3/40*l**4. Factor b(w). 3*w*(w - 3)/5 Let w be ((-762)/(-1778))/((-18)/(-84)). Find b such that -2/7*b**3 + 0 + 2/7*b**w + 2/7*b - 2/7*b**4 = 0. -1, 0, 1 Let u = 127/3 + -42. Suppose 2*b - 14 = 300*t - 295*t, 2*t = 5*b - 35. What is i in t + u*i**2 - 5/3*i = 0? 0, 5 Let u(p) be the third derivative of -p**8/84 + 8*p**7/7 - 59*p**6/30 + 170*p**2 + 3. Solve u(y) = 0. 0, 1, 59 Let q be -1 - ((-6)/2 + 0). Let u = -179 - -211. Factor -u*o - 36*o - 10*o**q + 2*o**4 - 2*o**3 + 62*o. 2*o*(o - 3)*(o + 1)**2 Factor -1/5*g**3 + 0 + 6*g - 13/5*g**2. -g*(g - 2)*(g + 15)/5 Suppose -j + 44 = 3*p, -4*j + p = -2*p - 191. Let x be (8/70)/(j/329). Factor x*a**3 + 0*a + 8/5*a**2 + 0. 4*a**2*(a + 2)/5 Let d(i) be the third derivative of i**6/24 + 31*i**5/2 - 625*i**4/8 + 470*i**3/3 + 11*i**2 - 31. Factor d(u). 5*(u - 1)**2*(u + 188) Let x(f) = f**3 - 13*f**2 + 13*f - 9. Let j be x(12). Let z be (-36)/(-90) + ((-106)/(-10) - 1). Factor 2*d**2 + 4*d**2 + 4*d**j - 2*d**2 + 2*d - z*d. 4*d*(d - 1)*(d + 2) Suppose -6*k = 3*n - 2133, -4*n + 192 = k - 167. Let t = -355 + k. Solve 3/8*i**4 + 1/8*i**2 + t + 0*i - 3/8*i**3 - 1/8*i**5 = 0 for i. 0, 1 Let w(t) = -2*t**4 + 6*t**3 + 9*t**2 - 5*t + 6. Let z(r) = 7*r**4 - 18*r**3 - 27*r**2 + 18*r - 20. Let h(o) = 10*w(o) + 3*z(o). Factor h(v). v*(v + 1)**2*(v + 4) Suppose -2*v - 12 = -5*a, 0 = a + 2*v - 21 + 9. Let n be 23/a + 18/(-24). Determine x, given that 6/5*x**4 + 0*x + 0 + 0*x**3 - 8/5*x**2 + 2/5*x**n = 0. -2, 0, 1 Let z(m) = 8*m**2 + 9*m - 4. Let y(a) be the first derivative of -2*a**3/3 - a**2/2 + 2*a + 99. Let q(b) = 5*y(b) + z(b). Let q(c) = 0. What is c? -1, 3 Let l(f) = -34*f**2 - 235*f - 117. Let k(r) = 35*r**2 + 235*r + 130. Let c(v) = -6*k(v) - 5*l(v). Let c(s) = 0. What is s? -39/8, -1 Let g(b) be the third derivative of 121*b**7/140 + 9691*b**6/20 + 777921*b**5/10 + 70480*b**4 + 25600*b**3 - 5*b**2 - 55*b - 1. Factor g(r). 3*(r + 160)**2*(11*r + 2)**2/2 Let l(g) be the second derivative of -5*g - 9/35*g**5 + 0*g**3 + 0*g**2 + 5/7*g**4 - 14 + 1/70*g**6. Find a such that l(a) = 0. 0, 2, 10 Let s = 75397/25 - 3017. Let u = s + 81/50. Let -1/4*l**2 + 3/4 + u*l = 0. Calculate l. -1, 3 Let z = -2/4641 - -13943/46410. Let i(f) be the first derivative of 3/4*f**2 + 0*f + 3/2*f**3 + 9/8*f**4 - 41 + z*f**5. Let i(x) = 0. What is x? -1, 0 Let o(f) = f + 10. Let d be o(-7). Let g = -239 - -242. Find r such that -3*r**g - r**4 - r**5 + 3*r**d + 0*r**3 = 0. -1, 0 Let u(s) be the third derivative of s**5/360 - 7*s**4/48 - 49*s**3/9 + 9898*s**2. Factor u(l). (l - 28)*(l + 7)/6 Let b be (4/(-3))/((-1)/3). Let g be 6*1 + 25*(-6)/45. Find l such that 4*l - 16/3*l**3 - g*l**2 + 0*l**b + 8/3 + 4/3*l**5 = 0. -1, 1, 2 Let o(c) be the third derivative of c**5/75 - 139*c**4/24 - 29*c**3/5 - 1754*c
{ "pile_set_name": "DM Mathematics" }
on factor of 22 and g. 11 Let y be ((-4)/(-2) - 0) + -50. Let g be 2/(-10) - y/15. What is the greatest common factor of 1 and g? 1 Let k(i) = -6*i - 10. Let q be k(-4). What is the highest common factor of 70 and q? 14 Let v(n) = -n**3 + 9*n**2 - 9*n - 8. Suppose -k - 14 = -3*k. Let p be v(k). Suppose p = q + 2*q. What is the greatest common factor of 9 and q? 9 Let j be (-1)/3 - 80/(-15). Suppose a - 6*n = -3*n + 44, -2*a + j*n = -84. Calculate the highest common factor of a and 48. 16 Let i(s) = 20*s + 10. Let z be i(5). Calculate the highest common factor of 22 and z. 22 Suppose 0 = -2*q - 2*q + 16, -o + 4*q + 9 = 0. Calculate the highest common factor of 100 and o. 25 Let j(b) = b**2 - 7*b - 7. Let u be j(8). Let l(i) = -2*i - 4 + 3 - u. Let z be l(-7). Calculate the highest common divisor of z and 60. 12 Let b = 10 + -8. Suppose 19 + 13 = -b*r. Let d = -8 - r. Calculate the greatest common factor of 1 and d. 1 Suppose 2*q = -0*q - n + 12, 4 = -4*q + 5*n. What is the highest common factor of 20 and q? 4 Let x(a) = -a**3 + 11*a**2 + a - 14. Let j be x(11). Let b = 2 - j. Suppose 53 + 5 = 3*p - b*l, p = -4*l + 8. What is the highest common factor of 8 and p? 8 Suppose 6*d - 3*d - 17 = -2*u, -4*u = -4*d + 56. Let h(z) = -z + 5. Let f be h(d). Let c be 22/18 - f/(-18). Calculate the highest common factor of 2 and c. 1 Suppose -4*o + 589 = 2*g + 105, -5*g - 110 = -o. Let a = -21 - -45. Calculate the greatest common factor of a and o. 24 Let v = -304 - -479. Suppose 5*a - v = -0*a. Let n(r) = 5*r - 3. Let q be n(2). What is the greatest common divisor of q and a? 7 Let d be (-2 + 2 + 20)*1. Let r be (6/(-12))/((-2)/d). Suppose 0 = -3*l - 3*i + 45, -5*l + r*i + 13 + 12 = 0. Calculate the highest common divisor of l and 90. 10 Let k = -21 + 31. Suppose -5*r = -5*b + k, b - 5 = 4*r + 6. Let c = r + 9. Calculate the highest common divisor of 24 and c. 6 Let b(c) = 5*c. Let q be b(4). Let a = -8 + q. Calculate the greatest common factor of a and 96. 12 Let m(d) = -d**3 - 8*d**2 + 15. Let c be m(-8). Suppose 3*y - 2*y = 30. Calculate the highest common factor of c and y. 15 Let f = 33 - -87. What is the greatest common factor of f and 12? 12 Suppose -3*a + 250 + 65 = 0. Suppose -3*k = 2*k - a. What is the highest common factor of k and 14? 7 Let k be ((-3)/(-2))/((-2)/(-8)). Suppose k = 3*u - 0. Calculate the greatest common factor of 16 and u. 2 Let z(l) = -l**2 - 4*l + 2. Let s be z(-4). Suppose 4*r - 6 = -s. Suppose d - 39 = r. Calculate the greatest common divisor of 20 and d. 20 Suppose 3*u - 9*u = -1680. What is the greatest common factor of 40 and u? 40 Suppose 21 = 3*r - 6*r. Let l be (-48)/8*r/3. What is the highest common divisor of l and 14? 14 Let d be (-4 - -1) + 10 + -7 + 336. What is the greatest common factor of 48 and d? 48 Suppose 0 = 5*x + 5 - 85. What is the highest common factor of 32 and x? 16 Let p(d) = -8*d**3 - d + 2. Let u be p(-2). What is the greatest common divisor of u and 51? 17 Let i be (15/6)/((-3)/(-108)). What is the highest common factor of i and 30? 30 Let h(u) = u - 4. Let n be h(6). Let d be (0 + 7/n)*4. Calculate the highest common divisor of 14 and d. 14 Let k(v) = -v**2 - 8*v + 1. Let b be k(-6). Let o = 147 - 134. Calculate the greatest common factor of o and b. 13 Suppose 0 = 3*f - 1 - 23. What is the highest common divisor of f and 64? 8 Let q = -130 - -198. What is the highest common factor of q and 17? 17 Let q(i) = -i**3 - 3*i**2 + 7*i - 2. Let j be q(-5). Suppose 3*v = 47 + j. Calculate the highest common factor of 4 and v. 4 Suppose -5*o + 4*o - 105 = -3*y, 0 = y - 2*o - 30. What is the highest common divisor of y and 24? 12 Let m be 7/3 + (-8)/6. Calculate the highest common divisor of m and 7. 1 Suppose -8*f = -202 - 54. Suppose -5*q = -q + 28. Let k = q + 11. What is the highest common factor of f and k? 4 Suppose 5 + 1 = 2*g. Suppose g*s + s = -5*w + 329, 2*w = -3*s + 245. Let n = 111 + -102. Calculate the greatest common divisor of n and s. 9 Suppose 8 = -5*d + 28. Suppose -3*s + 28 = -a + 3*a, d*s = 5*a + 45. What is the greatest common divisor of 2 and s? 2 Let q = -128 - -203. Let w be (-1)/(((-6)/100)/3). What is the greatest common factor of w and q? 25 Suppose 0 = -23*y + 27*y - 192. What is the highest common divisor of 120 and y? 24 Let x be (-2)/(-1) + (200 - 2). What is the greatest common factor of x and 40? 40 Let y(i) = 12*i**2 - 3*i - 4. Suppose 4 = 3*v - 5. Let z = 7 - v. Let m be y(z). What is the greatest common factor of m and 16? 16 Let t(y) = y**2 - 15*y + 13. Let a be t(14). Let k be 1 + a + 8 + -3. What is the highest common divisor of 2 and k? 1 Let o be ((-12)/(-10))/((-14)/(-420)). Suppose -40 = -3*i - 2*l - 7, -3*i - l = -o. Calculate the greatest common factor of i and 104. 13 Suppose 25 = -0*f + 5*f. Suppose -5*x + 0 - 4 = -2*b, -5*x = f*b + 60. Let c = -4 - b. What is the highest common factor of c and 44? 4 Let f(h) = -h + 1. Let r(q) = -19*q**2 - 1. Let i(w) = -3*f(w) - r(w). Let v be i(2). Calculate the highest common factor of v and 20. 20 Let q = 33 + -20. Let y be ((-2)/1 - -3)*11. Suppose -q = -2*v + y. What is the greatest common factor of 60 and v? 12 Let i(z) = 2*z**2 - 10. Let a be i(-5). What is the greatest common divisor of 16 and a? 8 Let x(n) = 8*n**3 + 3*n**2 + 3*n + 2. Let y be x(-2). Let t = y + 26. Let b be (0 - t) + 1 + -3. What is the highest common factor of b and 7? 7 Let y(z) = -z**2 - 21*z - 13. Let b be y(-20). Suppose -g - 3*g + 56 = 0. What is the greatest common divisor of g and b? 7 Let z(j) = 15*j**2 - 1. Let a be z(1). Let m(q) = q**2 + 5. Let y be m(-5). Let u = 5 + y. What is the greatest common divisor of a and u? 7 Let b = -116 - -204. What is the highest common divisor of b and 8? 8 Suppose -1286 = -3*n - 5*j, -4*n - 4*j + 2748 - 1028 = 0. Let x be (2/(-4))/((-12)/n). What is the highest common factor of x and 18? 18 Let w be 2/(-5) - (-36)/15. Suppose -v = -4*v. Suppose g - 9 = -2*q - 2*q, q - 2*g = v. Calculate the highest common factor of q and w. 2 Let z be (-11 + 1)*(-18)/10. Calculate the highest common divisor of z and 72. 18 Let t(d) = -d**2 + 7*d + 10. Let v be t(7). Let r(w) = 31*w**3 - w. Let u be r(1). Let z = u + 10. Calculate the greatest common divisor of z and v. 10 Suppose 5*f = 2*g - 177, -4*g - f - 3*f + 396 = 0. Calculate the highest common divisor of g and 6. 6 Let f(j) = -j + 14. Let v be f(7). Suppose -525 = -v*g + 2*g. Suppose 0 = -3*i + 6 + 57. What is the highest common divisor of i and g? 21 Let r = -5 + 10. Let v = r + -3. Suppose -10 = -v*a + a. Calculate the greatest common divisor of a and 4. 2 Suppose 0 = -2*a + 5*m - 0*m - 12, 2*a + m = 0. Let c = 1 - a. Suppose c*l = -l + 108. What is the greatest common divisor of l and 12? 12 Let j(a) = -6*a - 21. Let t be j(-6). What is the greatest common factor of t and 15? 15 Let k = 27 - 5. Suppose 16 = -w + 5*c, 15 = -0*w - w + 4*c. Let l = 22 + w. Calculate the highest common divisor of l and k. 11 Suppose 0 = -3*n + 2*f - 1419, 0 = -0*n + 3*n + f + 1428. Let a = -335 - n. Let p = a - 100. What is the highest common divisor of 4 and p? 4 Let q be (-79 - 2)/(-1) + 0. Let r = -36 + 45. Calculate the greatest common factor of r and q. 9 Suppose -222 = -3*b + 5*n, -n = 4*b + 4*n - 261. What is the highest common divisor of 23 and b? 23 Suppose 3*y - 21 = 4*t - 324, 2*y = -t + 62. What is the greatest common factor of 18 and t? 18 Suppose -31 = -3*v - 13. Suppose -m + 33 = c, -2*m - v - 64 = -2*c. What is the highest common divisor of c and 85? 17 Let j be ((-16)/(-20))/(2/(-10)). Let r = 36 + j. Let c(n) = n**3 - 2*n**2 + 3*n - 2. Let a be c(2). What is the greatest common factor of a and r? 4 Let d = -49 - -19. Suppose -3*r - 4*p - 21 = -p, -9 = -3*p. Let n = r - d. What is the highest common divisor of 5 and n? 5 Suppose 0 = l + 1 - 3. Suppose 0 = -n + l*o + 23, 2*n - 5*o + 20 = 66. Let t = -13 + n. Calculate the highest common divisor of 60 and t. 10 Let f(m) = m**2 + 4*m + 4. Let b be f(-5). Suppose -100 = 8*s - 388. What is the highest common factor of s and b? 9 Suppose -7*j = -2*j + 3*s + 10, -8 = 4*j - 3*s. Let d be (j/2)/1 - -6. Calculate the greatest common divisor of d and 55. 5 Let j be (8/2)/((-6)/(-9)). What is the highest common divisor of
{ "pile_set_name": "DM Mathematics" }
-1? -2.5 Which is the fifth biggest value? (a) 0.2 (b) 161 (c) -5 (d) -3/5 (e) -2/7 (f) -226 (g) -2 g What is the fifth smallest value in -2, -1/3, -3/80, 3/5, 0.55, -0.2, -4? -3/80 What is the second smallest value in 1, 0.3, 1316793? 1 Which is the smallest value? (a) -134 (b) 1 (c) 0.4 (d) 4 (e) 17 (f) -1.1 a Which is the second biggest value? (a) 1/5 (b) -54 (c) -1977.428 (d) 0.3 a Which is the third biggest value? (a) 1285 (b) 20/9 (c) 0.4 (d) -1/6 c Which is the fifth smallest value? (a) 2/13 (b) 2/5 (c) 1241/4 (d) 4 (e) -2/7 c What is the third smallest value in 0.071, -5, 4, 5, 3036, -0.3? 0.071 What is the smallest value in 6/5, -0.4, -1, 2/5, 27.5991? -1 What is the fourth biggest value in 75.4, 48, -2/5, 90, -2? -2/5 What is the fifth smallest value in -1, 177, -1.25, 8, 6, 0.2? 8 What is the third biggest value in -573/5, 3/5, 357/2? -573/5 Which is the third biggest value? (a) 13.9 (b) -3 (c) 2/23 (d) 372.8 c What is the second smallest value in -65.98716, -1/2, -0.3? -1/2 Which is the third biggest value? (a) 8.029 (b) -38.6 (c) 5 (d) 2 d What is the second biggest value in 0.29, 3, 0.02, -17, 126.53? 3 Which is the biggest value? (a) 137 (b) 0 (c) -2/7 (d) -11921 a Which is the smallest value? (a) -12/7 (b) 109.3 (c) -0.04 (d) 3 (e) -1/28 a What is the biggest value in 135, 40, -0.057? 135 Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -1.577 (d) 0.08 (e) 0.03 a What is the biggest value in 211.32, 6/457, 1? 211.32 Which is the third smallest value? (a) 17 (b) 0.3 (c) -20917 (d) 8 d Which is the third smallest value? (a) 9/10 (b) -108416 (c) 1/4 a Which is the fourth biggest value? (a) -3/2 (b) 0.3 (c) 3 (d) -2 (e) -69 (f) 5 (g) -521 a What is the fourth biggest value in 5.6, -5, 39971, 3? -5 Which is the seventh biggest value? (a) -4 (b) 4 (c) 1 (d) 2399 (e) -1 (f) -2/7 (g) 55 a Which is the biggest value? (a) 476/25 (b) -401 (c) 0.2 a What is the third biggest value in -45, -0.4051, 3? -45 Which is the seventh smallest value? (a) 28 (b) -2/11 (c) -10 (d) 1 (e) -1/6 (f) -4 (g) 0.4 a Which is the second smallest value? (a) -16 (b) 0.14219 (c) -4 (d) -0.09 c Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 340 (d) 20 (e) -2/7 (f) -0.3 a What is the second biggest value in -1.1, 115, 2063? 115 Which is the third biggest value? (a) -509394 (b) -1 (c) -17 a Which is the biggest value? (a) -1 (b) -9244 (c) 2/9 (d) 0.09 c What is the third smallest value in 3/371, 5331, 1? 5331 Which is the seventh smallest value? (a) -12/23 (b) -1.1 (c) -8 (d) 0.2 (e) 5 (f) -0.2 (g) 0.7 e What is the fifth smallest value in 0.002, 0.3, 9/5, 17, 2, -0.2, 5? 2 What is the fourth smallest value in 0.2, -1/98, 2/35, -0.016, 0.5, 5? 0.2 Which is the smallest value? (a) -4 (b) 3.14 (c) 3281 (d) 0.03 a What is the second smallest value in 5, -0.4, 1/14, -655.38, 0.3? -0.4 What is the second biggest value in 0.2, 18, -0.5, 0.4, -5, 5, 107? 18 Which is the biggest value? (a) -76064 (b) -3/5 (c) 2/19 c What is the third smallest value in -163, -16, -1076, 5/6? -16 What is the second smallest value in 5, 0.4, 9760.155? 5 What is the fourth biggest value in 6, -2/9, -5, -3/12190, 1, -0.1, -1? -0.1 What is the smallest value in -54/5, -2/263, 10/177, -4? -54/5 Which is the sixth biggest value? (a) 3/7 (b) -1 (c) -11/5 (d) 941 (e) 2/7 (f) -0.3 c Which is the second biggest value? (a) 4018 (b) -2 (c) 0.04 (d) 0.1 (e) 4 e What is the fourth biggest value in -5, 0, 2580, -0.1, -3? -3 Which is the fourth biggest value? (a) 2 (b) 0.6 (c) -6/7 (d) -40175/3 d What is the smallest value in -129/4, 13/2683, -1? -129/4 Which is the third smallest value? (a) 1336 (b) 657 (c) -7/6 a What is the biggest value in -2/37, -46, -2/351, -33, 0.1? 0.1 What is the fourth biggest value in -4, -273, 121, -7? -273 Which is the second biggest value? (a) 49 (b) 8518 (c) -4/5 (d) 3 a What is the fifth smallest value in -1, 1, -3/7, 2, -229/8, -2/13? 1 Which is the third smallest value? (a) -16 (b) -7/6 (c) 1/3 (d) -0.17 (e) -2/19 (f) -0.1 (g) -2/3 g What is the third smallest value in 1.2406, -0.4, -0.5, 1/393? 1/393 Which is the sixth smallest value? (a) -4 (b) 1 (c) 0.3 (d) 0 (e) 2.4 (f) -8 (g) -0.057 b Which is the third smallest value? (a) -4 (b) 1/328 (c) 0.2 (d) 1 (e) -63 b What is the sixth smallest value in -0.24, 2, -415, 0.14, 5, -0.2, -2? 2 What is the third smallest value in -2462, 0.3, 2, 0.113? 0.3 Which is the fourth smallest value? (a) 5 (b) -5096/43 (c) -519 (d) 3 a Which is the second biggest value? (a) -3/2 (b) 4 (c) 25 (d) 1/9244 b Which is the sixth smallest value? (a) 2 (b) 1 (c) -2/27 (d) -1/7 (e) -2/3 (f) 93693 (g) 0.2 a Which is the third biggest value? (a) 0 (b) -2/5 (c) -20662 c Which is the fourth smallest value? (a) 16 (b) -0.4088 (c) 0.06 (d) 0 (e) -9 (f) -3/2 d Which is the biggest value? (a) 2/3 (b) -3 (c) -6/13 (d) 0.2 (e) 4372 (f) 2 e What is the sixth biggest value in 0, 0.3, -5, 3/1247, -9, 1/6? -9 Which is the fourth biggest value? (a) 1/18808 (b) -2/29 (c) -28 (d) 0.3 (e) 0.03 b What is the seventh smallest value in -1/1085, 5, -5, -3, 37, -0.2, 0.1? 37 Which is the third biggest value? (a) -23962 (b) -1.5 (c) -4 (d) -1/4 (e) 0.3 (f) 1/3 (g) 1/5 g What is the fourth smallest value in 19, 0.4, -0.74, 31931? 31931 Which is the biggest value? (a) 123 (b) -2/9 (c) 0.3 (d) -2/7 (e) 1/6 (f) 58 (g) -2/3 a Which is the sixth biggest value? (a) -7662 (b) 1/18 (c) 0.5 (d) 2/17 (e) 3 (f) -3 (g) -0.4 f What is the fifth smallest value in 24/251, 2/3, -2/15, 14, -4, -6/13, -2? 24/251 What is the third smallest value in -60779, -0.17, 4/3? 4/3 Which is the second smallest value? (a) 0.15 (b) 87 (c) -9291 a Which is the sixth smallest value? (a) 1 (b) 3/17 (c) -5 (d) -0.32 (e) 65 (f) 1/3 (g) 3 g What is the sixth smallest value in 0.2, 50, 5, -11, -88, -0.2, 1? 5 What is the fourth biggest value in -0.3, 0.2, -16.15, 3, 0, -6? -0.3 Which is the fourth biggest value? (a) 0.1 (b) -34.423 (c) -27 (d) -3/7 b What is the third biggest value in 13, -104, 0.65, -2? -2 Which is the third smallest value? (a) -1 (b) 5 (c) -0.6 (d) -1/2 (e) 4.4 (f) 231 (g) -1/6 d Which is the sixth biggest value? (a) 2/5 (b) -6 (c) -2/7 (d) -5 (e) 0.36 (f) -355 f What is the fourth smallest value in 1326, -78/17, 1/2, 48/11? 1326 What is the biggest value in 78, -3, 1.4, 22/111, -3/7? 78 What is the second smallest value in -19/2, 0.19, 286/9? 0.19 Which is the smallest value? (a) 31794 (b) -9 (c) -0.05 b Which is the third biggest value? (a) 18 (b) -0.3 (c) -5 (d) -0.4 (e) -8594 (f) -0.8 d What is the fourth biggest value in 1.1, -3041, -1, -4? -3041 What is the second smallest value in -4/7, 13196, 5.3? 5.3 What is the second biggest value in 1/2308, -1/9249, -1/27? -1/9249 Which is the third biggest value? (a) 3 (b) -43 (c) 2 (d) -4 (e) -10 (f) -72/7 (g) -5 d Which is the biggest value? (a) -17785 (b) 4/3 (c) 13 (d) 45 d Which is the second biggest value? (a) 1220 (b) 30855 (c) -2/5 a Which is the third smallest value? (a) -3 (b) -56 (c) 5 (d) 0.23741 (e) -2/9 e Which is the fifth smallest value? (a) 23/3 (b) -2 (c) 8/11 (d) -2/19 (e) 0 a What is the biggest value in 0.7, 2/15, -3/28, -1/2, -0.6, 2/37, 1/4? 0.7 What is the sixth smallest value in 0, -1/3, 225, -0.5, -0.2, -15/17, 0.1? 0.1 Which is the fourth biggest value? (a) 2 (b) -331 (c) 4 (d) -6 (e) 37 (f) -5 f What is the fifth biggest value in -1, -3, -1/3, -26, 0.58, 1/39? -3 What is the fourth smallest value in -5/2, -28, 0, -0.5, -0.3, -0.09, -0.4? -0.4 What is the second biggest value in -7/34, 0.3, -2.0682, -2? -7/34 Which is the fifth smallest value? (a) 0.2 (b) 0.7 (c) -6/37 (d) 93 (e) 9 d What is the fourth biggest value in -6, -340, -1179, -11? -1179 What is the fourth biggest value in 3/7, -5, 0, 3841, -3, 2/27? 0 Which is the fifth biggest value? (a) 2/17 (b) -0.4 (c) 4 (d) 0 (e) -3216 (f) -10 (g) -18 f What is the fourth biggest value in -66, -12, 0.053, 0.4, -1/7, 0.7? -1/7 What is the seventh biggest value in -0.2, 19, 3
{ "pile_set_name": "DM Mathematics" }
- 524, 0 = 3*o + j - 530. Let q = -114 + o. What is the tens digit of q? 6 Suppose 0 = -0*k + 7*k - 13482. What is the units digit of k? 6 Let w(y) = -3*y - 20. Let h be w(-18). Suppose -2*k + 2*o + 88 = 0, 2*k = k - o + h. What is the tens digit of k? 3 What is the units digit of (-8310)/(-12) + 14/4? 6 Suppose 0 = 6*h + 269 + 4723. Let i = -548 - h. What is the tens digit of i? 8 Suppose 0*a - 4*a + 248 = 0. Let k = a + -44. What is the units digit of k? 8 Let k(t) = -3*t**3 + 3*t**2 - 10*t + 3. What is the units digit of k(-6)? 9 Let a(y) = -14*y + 3*y**2 - 8*y**2 - 8 + 4*y**2. What is the units digit of a(-10)? 2 Suppose -5*v - 42 + 2 = 0. What is the units digit of (v/2 - -3)*-118? 8 Suppose 19 = 5*o - 1, 0 = 4*d - 2*o - 3232. What is the units digit of d? 0 Let q(l) = 4*l + 26. Let p be q(-6). Suppose -o = p*o, w = -3*o + 136. What is the tens digit of w? 3 Let v = -2444 - -4928. What is the tens digit of v? 8 What is the tens digit of (-1851)/(-15) - (-3 + (-34)/(-10))? 2 Suppose 2768 = 21*l - 17*l. Let w be l/20 - (-4)/10. Suppose -r + 6*r = w. What is the units digit of r? 7 Let f = -905 + 1344. What is the tens digit of f? 3 Let b = 214 + -208. Let x(p) = 7*p**2 - p**3 + 6 + 0*p**2 - 14 - 3*p. What is the tens digit of x(b)? 1 Let q be (-13)/(-2) - (-1)/(-2). Suppose 14*w + 891 = 23*w. Suppose q - w = -3*f. What is the units digit of f? 1 Suppose 0 = -5*h + 12 + 8. Let w(r) = -r**2 + 5*r. What is the units digit of w(h)? 4 Let c(r) = 18*r**2 - 6*r + 10. Suppose 2*f + 4 + 8 = -4*t, -1 = f + t. What is the tens digit of c(f)? 7 Suppose 2*p - 40 = -3*p. Let v be (100/p + 4)*2. Let i = v - -25. What is the tens digit of i? 5 Let b(p) = 18 + 5*p + 0*p - 30. What is the units digit of b(4)? 8 Let v = 201 + -199. Let u be 2/(-4) - 22/(-4). Suppose v*g - u = -z, z = 3*z - 5*g - 37. What is the units digit of z? 1 Let b(f) = f**3 + 3*f**2 - 2*f - 3. Let n be b(-3). Let k be -1 + 5 - (-11 + 15). Suppose k = n*r - 4*r + 14. What is the tens digit of r? 1 Let p(o) = -4*o + 1. Let h be p(4). Let n = -14 - h. What is the units digit of (-1*13)/(n/(-2))? 6 Let y be 2*(1 + (-21)/6). Let d be y/((-5)/(-19)) + -1. Let t = d + 41. What is the tens digit of t? 2 Let i(q) = -2*q + 3. Let s(l) = -l. Let o(d) = i(d) - 3*s(d). Suppose -v = -11 + 7. What is the units digit of o(v)? 7 Let d = 49 + -47. Suppose -5*p = -3*s - 457, 0*p + d*p = -4*s + 188. What is the units digit of p? 2 Let v(w) = -w**2 - 27*w + 10. Let f be v(-19). What is the hundreds digit of 2522/9 + (-36)/f? 2 Let t(m) = m**2 - 10*m + 2. Let h be t(10). Suppose -h*d - n = -4*d - 44, 2*d + 60 = 5*n. What is the tens digit of 2*(-4)/(-4) - d? 2 Let i be (-146)/(-6) + 2/(-6). Let c = 37 - i. Suppose c*v + 105 = 18*v. What is the tens digit of v? 2 Let w(g) = g**3 + g**2 - 3*g + 2. Let m be w(0). What is the tens digit of 21/m*(-8)/36*-21? 4 Let z be 4 + 0 + -3 - -43. What is the tens digit of -2 + (z - 3 - 2)? 3 Let k(t) = -4*t**3 + 2*t - 1. Let s be k(1). What is the tens digit of (s + 76/20)*55? 4 Let t(y) = -y**3 - y**2 + 4*y + 1. Let o be t(2). What is the units digit of 3 - 2*(20/(-8) - o)? 2 Let j(t) be the first derivative of -t**4/4 - 2*t**3 + 3*t**2 - 9*t - 19. What is the tens digit of j(-8)? 7 Suppose -3*c - 7 + 22 = 0, 0 = 3*d + 3*c + 21. Suppose -5*z = -1 + 86. Let y = d - z. What is the units digit of y? 5 Let t(p) = p - 13. Let a be t(-13). Let y = -26 - a. Let j(h) = -h**3 - h**2 - 2*h + 48. What is the units digit of j(y)? 8 Let o(f) = f**3 + 6*f**2 - f - 2. Let q be o(-6). Suppose 0 = -7*v + q*v + 231. What is the units digit of v? 7 Suppose 3*i + 43*i - 11822 = 0. What is the units digit of i? 7 Suppose -10*s - 521 = -9231. What is the units digit of s? 1 Let y(x) = -6*x - 12. Let g be y(-4). Let r(z) = -z**3 + 14*z**2 - 19*z + 13. What is the units digit of r(g)? 3 Let p(o) = -o + 166. Let r be p(0). Suppose 2*l + x - 84 = 0, 2*l = -2*l - 3*x + r. What is the units digit of l? 3 Suppose 546 = 5*g - 1339. What is the hundreds digit of g? 3 Suppose v - 8 = -3*v. Suppose -v*r = -4*p - 109 + 27, 0 = r + 4*p - 53. What is the tens digit of r? 4 Let d(u) = u**3 + 6*u**2 - 3*u - 15. Let v be d(-6). Let q be 477/v + 0 + 0. Suppose -3*a = -2*n + 77, -a + 0*a = -4*n + q. What is the units digit of n? 0 Let g = -116 + 537. What is the hundreds digit of g? 4 Let h = 3067 + -1539. What is the units digit of h? 8 Let q = -215 + 132. Let r = q - -148. What is the tens digit of r? 6 Let q = -21 + 9. Let k be 1/4 - 597/q. Let s = -27 + k. What is the tens digit of s? 2 Let r(g) = 226*g + 3. What is the tens digit of r(4)? 0 Let h(f) = f**2 - 14*f + 36. Let x be h(9). Let i(c) = -c**2 - 14*c + 12. What is the tens digit of i(x)? 5 Let h = 51 - 143. Let i = h + 178. What is the units digit of i? 6 Let y(s) = -s**2 + 6*s + 11. Let r be y(-11). Let k be r/(-10) - (-2)/5. What is the units digit of ((-24)/k)/((-2)/27)? 8 Let q be (3*(-122)/4)/((-13)/(-26)). What is the hundreds digit of (q/(-12))/((-2)/(-16))? 1 Let r(d) = d**3 + 15*d**2 - 7*d + 6. Suppose q + 2*q + 49 = -i, 2*i = q + 7. What is the hundreds digit of r(q)? 1 Suppose 16*h - 15 = 13*h. Suppose n - 5*r = -8, h*n - n = -5*r + 18. Suppose 0 = 5*i + n - 7. What is the units digit of i? 1 Let q(r) = r**2 + 16*r - 16. What is the hundreds digit of q(-46)? 3 Let m(q) = 6*q - 49. Let o be m(9). Suppose 0*p + p + 4*u = 211, 1007 = o*p - 4*u. What is the tens digit of p? 0 Suppose z = -2*k + 2563, -8*z - 2583 = -9*z + 2*k. What is the thousands digit of z? 2 Let g(o) = 3*o**2 + 28*o + 116. What is the tens digit of g(-28)? 8 Let v = 14 - 26. Let l = v - -79. What is the units digit of l? 7 Suppose 4*o - 24 = 5*g, -o + 2*g + 3*g = -21. Let j be ((-1)/3)/(o/(-6)). What is the units digit of 1 - j - (-28)/2? 3 Let l be (-403)/(-7) - (-15)/35. Suppose 2*i + 5*c = 48, -c + l = 5*i - 4*c. What is the units digit of (-1)/1 + i + 3? 6 Suppose 0*v - 3*v = -4*m - 517, 0 = m + 1. Let k = 240 - v. What is the tens digit of k? 6 Suppose -28*y - 4*j = -25*y - 5131, y + 4*j = 1721. What is the thousands digit of y? 1 Let b be 338/8 + 1/(-4)*1. Suppose 3*c = c + 30. Suppose -4*t = t - c, -3*l + b = -t. What is the tens digit of l? 1 Let o(i) = 142*i**2 + 2*i. Suppose -3*f = -8*f + 3*d - 2, 2*d + 2 = 0. What is the tens digit of o(f)? 4 Let v = -218 - -628. What is the tens digit of v? 1 Suppose 4*q = -n - 12 + 8, 5*n - q + 62 = 0. What is the units digit of ((-6)/n)/(1/250)? 5 Suppose -96 = -16*m + 13*m. Let s = m - 26. What is the units digit of s? 6 Let d(n) = -n + 19. Let t(o) = 20. Let j(m) = -4*d(m) + 3*t(m). Let i be j(5). Suppose -i*v + 15 = -17. What is the units digit of v? 8 Suppose 0 = 5*h + 4*l + 159 + 251, l = 0. Let r = h + 122. What is the tens digit of r? 4 Suppose f + 7 = -3*f - l, -5*l - 11 = -4*f. Let j = f - 2. What is the units digit of (-1)/(j + (-248)/(-84))? 1 Suppose -3*w - 4*r + 5176 = -7557, -r + 16999 = 4*w. What is the tens digit of w? 5 Suppose -18*z + 8*z = 50. What is the units digit of (33/6 + z)*86? 3 Let t(s) be the first derivative of -s**3/3 - 25*s**2/2 - 7*s - 5. What is the units digit of t(-19)? 7 Let i = -5 - -5. Suppose -7*v = -2*v + 20, -2*h + v = i. What is the units digit of (3 + (-7)/1)/h? 2 Suppose 0 = -5*g + 3*i + 3447, i = 9*g - 10*g + 683. What is the hundreds digit of g? 6 Let t = 11 + 3. Let c(r) = r + 19. What is the tens digit of c(t)? 3 Let f = 927 - 325. What is the tens digit of f? 0 Let h(u) = 46*u + 11. Let w be h(5). Let g be w/7 - 21/49. What is the tens digit of 1/((7/g)/7)? 3 Suppose -20*f + 24*f + 20 = 0. What is the tens digit of -1 + 1 + f + 4 + 32? 3 Let c(n) = -n + 6. Let d be c(2). Suppose -d*s + 54 = 34. What is the units digit of s? 5 Let c(r) be the first derivative of -r**4/2 - 2*r**3 - r**2 + 2. Let p be c(-4). Let q = p - 26. What is the units digit of q? 4 What is the units digit of (-32292)/(-52) + (1*-3 - 1)? 7 Let z = -444 + 1036. What is the tens digit of z? 9 Suppose -4*u + 4 = 5*o, -3*u = 2*o - u. Suppose -263 = -o*j + 129. What is the tens digit of j? 9 Let f = 516 + -197. What is the tens digit of f? 1 Let b(y) = 0*y - 94 + 9*y + y**2 + 123. What is the units digit of b(-11)? 1 Suppose f - 6*f + 40 = 0. Suppose -f*b = -223 - 177. What is the units digit of b? 0 Let g(w
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {q: 5, s: 3}. Give prob of sequence qqs. 5/28 Four letters picked without replacement from {j: 2, r: 2, m: 2}. Give prob of sequence rmrm. 1/90 Four letters picked without replacement from {b: 4, l: 1, f: 2, k: 2, s: 7}. What is prob of sequence lssf? 1/520 Four letters picked without replacement from {o: 4, s: 7, l: 2, p: 1}. What is prob of sequence opss? 1/143 What is prob of sequence ee when two letters picked without replacement from yyyeyeyyeeeeeyyyee? 4/17 Calculate prob of sequence kaj when three letters picked without replacement from ajoaoakakkooa. 5/572 Calculate prob of sequence ooo when three letters picked without replacement from {o: 5, k: 5}. 1/12 Three letters picked without replacement from {u: 7, j: 1, o: 6, v: 1, f: 2}. Give prob of sequence uoo. 7/136 Four letters picked without replacement from reelerverl. What is prob of sequence ellv? 1/630 Four letters picked without replacement from pyppzzzetptd. What is prob of sequence zzde? 1/1980 Two letters picked without replacement from ygytigiytgkgytdki. Give prob of sequence ky. 1/34 Two letters picked without replacement from {g: 1, l: 2, o: 3, i: 5, q: 1}. What is prob of sequence lq? 1/66 Calculate prob of sequence aia when three letters picked without replacement from {a: 2, i: 7}. 1/36 Calculate prob of sequence dfu when three letters picked without replacement from {b: 1, o: 1, f: 2, d: 4, u: 6, l: 1}. 8/455 Four letters picked without replacement from hcchcchhccc. What is prob of sequence hccc? 7/66 Three letters picked without replacement from yray. What is prob of sequence yra? 1/12 What is prob of sequence att when three letters picked without replacement from awwawtawwt? 1/120 Calculate prob of sequence aaz when three letters picked without replacement from akakakzzk. 1/42 Two letters picked without replacement from {g: 1, x: 2, a: 1, u: 3, s: 4, t: 4}. Give prob of sequence gx. 1/105 Calculate prob of sequence aav when three letters picked without replacement from {a: 2, v: 4}. 1/15 Four letters picked without replacement from mlmmllzzl. Give prob of sequence llzl. 1/63 Two letters picked without replacement from {s: 3, o: 2, f: 4}. What is prob of sequence fo? 1/9 Two letters picked without replacement from {h: 5, n: 3}. Give prob of sequence hh. 5/14 Calculate prob of sequence qm when two letters picked without replacement from qrrrm. 1/20 Three letters picked without replacement from {x: 5, s: 1, v: 4, r: 1, c: 3}. What is prob of sequence vrx? 5/546 Two letters picked without replacement from yppppppppyyppyppyp. What is prob of sequence yy? 10/153 Calculate prob of sequence fhff when four letters picked without replacement from hhhfhhfffh. 1/35 What is prob of sequence dqqs when four letters picked without replacement from qqqqdqsssqqdqs? 8/429 Calculate prob of sequence siih when four letters picked without replacement from {s: 5, a: 2, x: 1, h: 2, i: 6}. 5/728 Two letters picked without replacement from gvyccgc. What is prob of sequence cy? 1/14 Two letters picked without replacement from {c: 1, w: 1, i: 1}. Give prob of sequence ic. 1/6 Four letters picked without replacement from pswthpwwphpcp. Give prob of sequence shwt. 1/2860 Four letters picked without replacement from jjvvvjjjjvjjvjjj. Give prob of sequence vvjv. 11/728 Calculate prob of sequence bl when two letters picked without replacement from wljlyybybb. 1/15 Two letters picked without replacement from khhookhkkohkkho. What is prob of sequence ko? 4/35 What is prob of sequence wqgg when four letters picked without replacement from {w: 2, q: 3, n: 4, g: 2}? 1/660 Two letters picked without replacement from {m: 1, i: 2}. What is prob of sequence ii? 1/3 Four letters picked without replacement from vivvqvvvvvqvvigv. What is prob of sequence gviv? 11/2184 Three letters picked without replacement from xzzzzzeygzzgzgxzgg. What is prob of sequence yxz? 1/272 Three letters picked without replacement from {v: 9, w: 2}. Give prob of sequence wwv. 1/55 What is prob of sequence wl when two letters picked without replacement from {j: 1, l: 1, i: 1, w: 1, o: 1}? 1/20 Three letters picked without replacement from {b: 1, h: 4, e: 4, x: 2, z: 5}. What is prob of sequence eee? 1/140 Three letters picked without replacement from {d: 2, p: 8, l: 2, h: 2, i: 5}. What is prob of sequence hhi? 5/2907 Four letters picked without replacement from {t: 3, z: 6, m: 2, i: 2, p: 2}. Give prob of sequence imti. 1/2730 Two letters picked without replacement from tdpttiti. What is prob of sequence tp? 1/14 Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm. 1 Two letters picked without replacement from {u: 1, s: 1, g: 1, h: 1, q: 2, c: 1}. What is prob of sequence sq? 1/21 Two letters picked without replacement from mammmtiiniim. What is prob of sequence tn? 1/132 Three letters picked without replacement from {o: 2, h: 1, w: 1, i: 6, y: 8, j: 2}. Give prob of sequence oyo. 2/855 Calculate prob of sequence ebbe when four letters picked without replacement from {b: 3, e: 12}. 11/455 Two letters picked without replacement from {d: 4, h: 2}. What is prob of sequence dd? 2/5 What is prob of sequence lk when two letters picked without replacement from {l: 1, r: 1, o: 2, q: 3, k: 3, f: 2}? 1/44 What is prob of sequence vzz when three letters picked without replacement from vzzzzvzzzzzvzv? 15/91 Three letters picked without replacement from {f: 6, c: 1, k: 2, u: 1, n: 2}. What is prob of sequence nnu? 1/660 Calculate prob of sequence jzz when three letters picked without replacement from {j: 5, z: 7, h: 1, a: 1, q: 1}. 1/13 Four letters picked without replacement from {k: 1, w: 1, g: 1, e: 1, s: 1}. Give prob of sequence ekwg. 1/120 What is prob of sequence ho when two letters picked without replacement from rxrxrhrhrxbho? 1/52 Three letters picked without replacement from {d: 2, z: 5}. Give prob of sequence dzz. 4/21 Calculate prob of sequence tm when two letters picked without replacement from tsststsmssttts. 3/91 Two letters picked without replacement from {p: 2, b: 1, v: 1, a: 1}. What is prob of sequence pa? 1/10 Three letters picked without replacement from {d: 4, m: 5, b: 3, k: 4}. What is prob of sequence ddd? 1/140 What is prob of sequence xav when three letters picked without replacement from {b: 1, v: 2, x: 2, a: 1, h: 1}? 2/105 Calculate prob of sequence ob when two letters picked without replacement from {l: 1, b: 1, o: 2}. 1/6 Three letters picked without replacement from gxxgggxgggg. Give prob of sequence ggx. 28/165 Two letters picked without replacement from kfxpj. What is prob of sequence jf? 1/20 Three letters picked without replacement from {b: 3, m: 1, s: 3, y: 1, d: 2}. Give prob of sequence bmd. 1/120 Four letters picked without replacement from rjscbcjfr. Give prob of sequence sjbj. 1/1512 Two letters picked without replacement from qkkqkaqkmaqkqmqqnkk. Give prob of sequence nm. 1/171 Two letters picked without replacement from {j: 4, l: 1, f: 3}. Give prob of sequence jf. 3/14 Four letters picked without replacement from ibbpbpw. What is prob of sequence pbww? 0 Three letters picked without replacement from {z: 13, b: 5}. Give prob of sequence bbz. 65/1224 Two letters picked without replacement from {z: 4, u: 2, y: 7}. Give prob of sequence zz. 1/13 Calculate prob of sequence ngg when three letters picked without replacement from {l: 1, r: 2, n: 5, g: 8}. 1/12 Two letters picked without replacement from qqqqqquuuqqquqquqqq. Give prob of sequence uu. 10/171 What is prob of sequence hhh when three letters picked without replacement from {h: 4, r: 2}? 1/5 Four letters picked without replacement from {j: 1, e: 3, v: 4, l: 2, r: 4}. What is prob of sequence ejre? 1/1001 Calculate prob of sequence ww when two letters picked without replacement from {w: 7}. 1 What is prob of sequence nlne when four letters picked without replacement from yznylyyne? 1/1512 Four letters picked without replacement from nstsmnstsmmsm. Give prob of sequence sttm. 1/429 Calculate prob of sequence ce when two letters picked without replacement from {c: 5, e: 7}. 35/132 Two letters picked without replacement from {r: 1, v: 2}. Give prob of sequence rv. 1/3 Two letters pic
{ "pile_set_name": "DM Mathematics" }
- 110 = 2*s, -5*s = -4*n + 165 - 46. Suppose 5*j = 15, -2*j - 24 = -4*l + n. Does 7 divide l? True Let o(c) = 2*c. Let u(m) = 3*m. Suppose -s + 3*s - 2 = 0, -2*w = 5*s + 5. Let i(q) = w*o(q) + 3*u(q). Is i(-5) a multiple of 5? True Suppose 0 = 3*a - o - 248, -2*o - 81 = -6*a + 5*a. Is 27 a factor of a? False Let d = 189 - 167. Does 11 divide d? True Suppose 4*l - 24 = -2*u, -4*l + 4*u + 8 + 16 = 0. Suppose l*d + 63 = 9*d. Is d a multiple of 4? False Let s = -15 - -14. Is 10 a factor of (-3 - -26) + s + 1? False Let y(n) = -n**2 - 3*n - 2. Let x be y(-2). Suppose -5*m = 4*t - 16, -9 - 8 = -4*m + t. Suppose x = -w + 18 + m. Does 11 divide w? True Let t be 2/(3/(-2 + 5)). Let k(d) = d - 2. Let i be k(t). Suppose 27 = 2*c - 3*l, -c + 24 = -i*c - 5*l. Is 7 a factor of c? False Suppose -m + 69 + 57 = 3*p, 5*p = -5*m + 220. Is 2 a factor of p? False Is 2/(-3) - (-137)/3 a multiple of 7? False Let n be (-132)/(-30) - 4/10. Suppose -2*c - n*w = 0, w - 60 = -5*c + 3*w. Is ((-4)/c)/(4/(-320)) a multiple of 16? True Let k = 6 + -3. Let m be 10/k + 3/(-9). Suppose m*a = -c + 2, -c - 3*c = -2*a - 50. Is 11 a factor of c? True Suppose -6*o + 636 = -0*o. Does 21 divide o? False Let l(z) = 3*z - 16. Let c be l(-10). Let r = -26 - c. Is 20 a factor of r? True Is -4 - 7/(7/(-66)) a multiple of 18? False Suppose 3 = 2*i - a, 2 + 1 = 3*a. Suppose 0 = i*f - x - 20, 4*f - 12 = 2*f - 3*x. Does 3 divide f? True Suppose 3*n - 2*v + 10 - 35 = 0, -2*n - 3*v - 5 = 0. Suppose 0 = 5*r - n. Let d = 10 + r. Is d a multiple of 11? True Let f(u) = u**2 + 4*u + 3. Let l be f(-4). Suppose -2*k + 301 = l*w, -2*k = -w - 3*w + 378. Is w a multiple of 25? False Let n(w) = -w**2 - 5*w + 12. Let y be n(-10). Let g = y + 60. Is g a multiple of 6? False Let l(w) = w**3 - 11*w**2 + 14*w. Does 8 divide l(10)? True Suppose 0 = 3*u + 64 + 20. Let i = 10 - u. Is 14 a factor of (1/(-1))/((-1)/i)? False Suppose -r - 43 = -2*x, -5*x - 6*r + r + 115 = 0. Is 4 a factor of x? False Let b = -21 - -10. Suppose 2*z + 2*a - 52 = -2*z, -5*z + 5*a = -50. Let x = z - b. Is 8 a factor of x? False Let c be (-134)/(-11) + 6/(-33). Suppose 6*y - c = 2*y. Suppose -2*p = -y*r + 38 + 62, p + 101 = 3*r. Is 13 a factor of r? False Let l = -64 - -155. Is 18 a factor of l? False Let j(f) = 5*f**3 - f**2 - f + 1. Let n be j(1). Suppose -3*g - 87 = -n*k, 2*k - 4*k = -2*g - 44. Does 9 divide k? False Suppose 6*k - 330 = -0*k. Does 11 divide k? True Suppose -4*u + 11 = g, 3*g - 3 = 4*u - 18. Let a(f) = -u + 2*f - 3*f - 2*f**3 - 3*f**2 - f + 4*f. Is a(-3) a multiple of 9? True Let j(s) = -s**2 - 9*s - 6. Let u be j(-8). Suppose -d = 5*p - 0*d - 271, 160 = 3*p - u*d. Is p a multiple of 18? True Suppose -4*v + 12 = 4. Suppose -3*t + 5*h = -113, v*t + 3*h - 54 = h. Is t a multiple of 7? False Let q = -27 - -33. Is 5 a factor of q? False Is 15 a factor of 28253/209 - ((-2)/(-11) - 0)? True Let s(m) = -15*m - 5. Is 5 a factor of s(-2)? True Let u(h) = -h - 3. Let b be u(-3). Suppose 5*i - 5*f = i + 229, b = -4*i - f + 223. Is i a multiple of 14? True Suppose -3*i = -i - g - 13, 5*i + 3*g = 5. Suppose 0 = i*m - 9*m - 4*u + 228, -4*u = -8. Is m a multiple of 12? False Suppose -80 = 3*d - 7*d. Suppose -3*b - d = -5*b. Is b a multiple of 7? False Let s(m) = -3*m + 8. Let j be s(6). Does 4 divide 18*(j/4)/(-5)? False Suppose 0 = -n - q + 5 + 24, -5*n + 138 = -2*q. Does 14 divide n? True Does 4 divide 6/(-45) - (-1868)/60? False Let l(u) = -u**3 - 7*u**2 + 3*u + 5. Let o be l(-6). Let p = 123 - 44. Let v = o + p. Is 13 a factor of v? False Let l(o) = -3*o. Let d be l(-1). Let y(a) = 2*a**2 + 3*a + 7. Let k be y(-7). Suppose -d*g + k = g. Is 14 a factor of g? False Suppose 5*k = -2*o - 151, 0 = 2*k - 6*o + 2*o + 46. Let m = -7 - k. Does 22 divide m? True Let t = -6 + 6. Suppose -5*j + 3*c + 250 = t, -6*j + 3*j + 2*c + 149 = 0. Is 20 a factor of j? False Suppose -4*f + 20 = 3*t - 2*f, 2*f + 10 = 2*t. Suppose 2*s = s + t. Let z = s + 8. Does 7 divide z? True Let y = 11 - 1. Is (-5)/y + (-25)/(-2) a multiple of 12? True Let o be (-65)/13 + 0 + -1. Suppose -23 = 2*u + 3*u - 2*m, 5*m = 3*u + 29. Is 26 a factor of 13*8/(o/u)? True Suppose -3*j = 5*p - 387, -3*j + 125 = -2*j + 3*p. Is j a multiple of 9? False Let h = -3 + 6. Let i(s) = 12*s**2 - s. Let t be i(-1). Suppose -h*v + t = -11. Is v a multiple of 8? True Let g = -13 - -2. Let r = 23 - g. Is 10 a factor of r? False Let m(w) = w**3 - w**2 - 2*w + 34. Is 3 a factor of m(0)? False Let r(u) = -u + 5. Let a be r(0). Suppose -7*m - 5*p = -2*m - 185, a*p + 5 = 0. Does 21 divide m? False Let v(f) = -f**3 - 5*f**2 - 4*f. Let l be v(-3). Is (-2)/l - (-14)/3 even? False Let q(k) = k**3 - 6*k**2 + 6*k - 3. Let a be q(5). Let p(g) = -12*g - 5 + 4 + a - 6*g. Is p(-1) a multiple of 19? True Let n be (5 - 3)*1*4. Suppose 37 = 5*k - n. Let d(m) = m**3 - 9*m**2 + 12. Is d(k) a multiple of 6? True Suppose 3*l + 30 = k + 5*l, 3*k - 120 = 4*l. Does 18 divide k? True Suppose -4*o + 5*b = -23, 0 = -5*o + 4*b + 19 + 12. Let k(h) = h**2 - 4*h. Is k(o) a multiple of 17? False Let d = 0 + 0. Suppose 2*f - 7*f + 10 = d. Suppose -3*v + 6*v = f*y - 45, -35 = -2*y + v. Is 15 a factor of y? True Suppose -46 + 14 = -4*n - 4*a, 5*a = 3*n. Suppose -n*p + 2*q - 12 = -72, 24 = 2*p - q. Does 6 divide p? True Let c(u) = -u**3 - 5*u**2 + 6*u + 3. Suppose 10*a = -3*x + 5*a - 18, -4*x - 24 = -3*a. Let r be c(x). Suppose -y = -14 + r. Is y a multiple of 5? False Suppose 0*n = -n + 81. Does 24 divide n? False Let p = 171 - 76. Is 37 a factor of p? False Let l = 22 + -10. Is (-6)/l + 22/4 a multiple of 5? True Let k be (-2 + 1)*4 - -2. Suppose -3*x = -5*l - 45, 0 = -8*x + 3*x + 4*l + 75. Let d = k + x. Is d a multiple of 8? False Let r(x) = 2*x - 18. Let y be r(12). Suppose 3*z - 9 = -3*j, j - y = 4*z - 6*z. Suppose 4*g = -2*i + 4*i + 116, j = -4*g + 4*i + 108. Is g a multiple of 11? False Let s(j) = -j + 1. Let c be s(6). Is (4/c)/(12/(-330)) a multiple of 11? True Let f(o) = o + 5. Let t be f(-6). Let x = -19 + t. Is x/(-3) - (-2)/(-3) a multiple of 3? True Is 19 a factor of (-5)/(-30) + 1378/12? False Suppose -2*x - 3*d + 9 = 0, 4*d + 8 = 3*x + 3*d. Suppose v = 5*m, 4*v = 3*v - x*m + 16. Is v a multiple of 7? False Suppose 3*g = -g - 12. Let x = g - -5. Suppose -3*w - 33 = -x*p, w = 4*p - 44 - 27. Is 14 a factor of p? False Let s(v) = v**2 - 59. Let f be s(0). Let m = f + 100. Is 8 a factor of m? False Let i(l) = l**3 - 9*l**2 + 3*l + 9. Is i(9) a multiple of 8? False Suppose -11*a + 316 + 3479 = 0. Is 44 a factor of a? False Let q(z) = 12*z**2 + 4*z + 3. Is 11 a factor of q(-1)? True Suppose -228 = -5*l + 182. Is 46 a factor of l? False Let w(v) = -v + 30. Is 8 a factor of w(-16)? False Suppose 2*h - 32 = -4*b, 40 - 1 = 5*b + 3*h. Does 3 divide b? True Let x = 35 + -20. Does 11 divide (-25)/10*(-228)/x? False Let r = -30 + 52. Is 15 a factor of r? False Let k(a) = -a**3 + 4*a**2 - 2*a + 2. Let h be k(3). Suppose -22 = h*j - 122. Is j a multiple of 7? False Suppose 78 = -4*p - 242. Let k be (4/(-2))/((-8)/4). Is 5 a factor of (2 - k)*p/(-8)? True Let k = 5 - 3. Suppose -13 = -w - k*l, 4*l - 2 = 3*l. Let f = 24 - w. Does 10 divide f? False Let p = 27 - -32. Does 13 divide p? False Suppose 4*n - 5 = 3*o, -4*o - 4*n + 7 + 5 = 0. Is 4 a factor of 2/(o*(-6)/(-39))? False Let i(g) = -g**2 - 8*g + 5. Suppose 4*r - 8 = 12. Suppose -r*n = 4*t + 6 + 29, t + 2 = n. Does 10 divide i(t)? True Does 17 divide 119 + (2 - (-2)/(-1))? True Let d(l) = l**3 + 11*l**2 + 4*l + 4. Is 17 a factor of d(-9)? False Is ((-4)/(-3))/(-2)*-81 a multiple of 11? False Let k(v) = 5*v**3 - 2*v**2 + v + 3. Let u(x) = -6*x**3 + x**2 - 4. Let g(p) = 5*k(p) + 4*u(p). Let i be g(5). Is ((-38)/(-2))/(i - -2) a multiple of 8? False Let x = -59 + 107. Is 8 a factor of x? True Let w(v) be the third derivative of 0 + 0*v + 5/6*v**3 + 4*v**2 - 5/24*v**4. Is w(-8) a multiple of 15? True Let l(k) = -k + 18. Let t be l(0). Suppose 0 = 3*j - t + 6. Is 4 a factor of j? True Let n(d) = -d**2 + 12*d - 8. Let u be 3 + (-1 - (2 - 7)). Does 16 divide n(u)? False Suppose 0 = 3*p + 2*p + 135. Let v = 16 - p. Suppose v = 2*g + 9. Does 17 divide g? True Let p = -14 + 25. Does 11 divide p? True Let p be -1 - -1 - (-2)/2. Let n be (2 - -2 - -1)*p. Suppose -n*a = -148 - 42. Doe
{ "pile_set_name": "DM Mathematics" }
376*b - 742*b - b**2 + 2 as z + h*b + o*b**4 + q*b**3 + a*b**2 and give z. 2 Rearrange (6*p - 50*p - 19*p)*(-5*p - p + 12*p) to s*p + f + o*p**2 and give s. 0 Rearrange -855*w + 4 - 4 - 830*w - 753*w to the form p + o*w and give o. -2438 Rearrange (-10*j + 10*j - 10*j**2)*(1 + 0 + 0 + (-2 + 2 - 2)*(3 + 0 - 1) + 1 - 3 + 0)*(-24 - 63 + 22) to the form k*j**2 + v*j + a and give k. -3250 Express 4*i**4 - 6 + 21*i**4 - 8*i**4 + i**3 - i + 7 + i**3 as o + v*i**3 + j*i + g*i**2 + a*i**4 and give a. 17 Express (0*f + 145 - f + 1019)*(7*f - f - f) as l*f**2 + a*f + z and give a. 5820 Express -4*w**2 + 2*w**2 + w**2 + (3 + 3 - 5)*(1 - 1 - 2*w)*(0*w - 3*w + 5*w) - 12691 - 229*w**2 + 12691 as q*w + g*w**2 + h and give g. -234 Rearrange -417*h + 122*h - 311*h + 4 - 4 to the form v + k*h and give k. -606 Rearrange 8 - 8 - 2*a**3 - a**3 - 3*a**4 + 1 + 4*a**3 - a**2 to j + g*a**3 + m*a**4 + y*a + i*a**2 and give g. 1 Express 6*q - 4*q**2 + 2*q**2 + 62*q + 124*q + 447*q in the form a*q**2 + b + n*q and give a. -2 Express (-1 + 1 + 2*u)*(-u + 4*u + 0*u) + 3*u - 3*u - u**2 - u**2 + 6*u**2 - 6*u**2 as r*u**2 + h*u + z and give h. 0 Express -166*n + 51*n - 68*n - 13*n in the form r + s*n and give s. -196 Rearrange -8 - 20 - 1 + 16 + 4*a to w*a + v and give w. 4 Express -234*t + 63*t - 110*t - 130*t in the form a*t + i and give i. 0 Rearrange -9 + 31 - 11 - 11 - 718*w to x*w + y and give x. -718 Express -39*w + 39*w + 199*w**2 as u*w + g + h*w**2 and give h. 199 Express -3 + 3 + 2*a - a - 2*a + 2*a + (-2*a + 3*a + 0*a)*(-3 + 3 - 2) - 25*a + 131 - 131 + (2*a + a - 2*a)*(-5 + 5 - 1) in the form b + n*a and give n. -27 Express 467*a**2 + 527*a - 527*a + (-a + 2*a - 2*a)*(-3*a + 0*a + 2*a) as u*a + h*a**2 + t and give h. 468 Express (-2*d + 2*d - 2*d)*(0 + 1 - 2)*(-563*d**3 + 2483*d**2 - 2483*d**2) in the form p*d**2 + f*d**3 + k*d**4 + m + n*d and give p. 0 Rearrange (3*x**2 - 2*x**2 - 2*x**2)*((-2 + 2 + 1)*(0 + 0 + 2*x) + 0*x + 2*x - 3*x + 56*x - 106*x - 66*x) to s*x**3 + v*x + j + g*x**2 and give s. 115 Rearrange 9 + 23*k**2 + 12 - 25*k**2 + 0 - 3*k**3 - k**3 to f*k + d*k**2 + a + i*k**3 and give i. -4 Rearrange (3*m + 4*m - 4*m)*(0 + 4 - 2)*(6 - 6 + 3*m) to the form u*m + s*m**2 + i and give s. 18 Rearrange (1247*l**2 - 4 + 5 - 1237*l**2 - l)*(3*l - 2*l + l) to v*l**2 + r + n*l**3 + z*l and give v. -2 Rearrange (2 + 0 + 0)*(-69*i - 54*i + 104*i)*(-2 - 4*i - 3*i**2 + 4*i) to the form x*i**3 + m*i**2 + y*i + d and give x. 114 Express -2*x + 0*x + 559 + 219 + 3*x as b*x + u and give u. 778 Rearrange (15 - 15 + 30*h)*(-4 - 1 - 14) to the form n + x*h and give x. -570 Express (4 + 0 - 2 - 2*q)*(0*q - 3*q + 5*q)*(170 + 159 - 278) as f*q**2 + t*q + y and give t. 204 Express -54*v - 112*v**3 + 53*v + 115*v**3 + 7 in the form u*v**3 + b + t*v**2 + s*v and give u. 3 Express (0*r - r - r)*(-3 + 3 - 8)*(-6 - 6 + 3) in the form b*r + w and give b. -144 Rearrange (4*d - 3*d + 0*d)*(156 + 170 - 389) + 2*d - 2 + 2 to n + w*d and give w. -61 Rearrange (-1 + 0 - 2)*(-10*s - 6*s - 5*s)*(5*s**2 - 7*s**2 + 8*s**2) to p + f*s**3 + o*s**2 + q*s and give f. 378 Rearrange (2*k + 0*k + 0*k)*(0 - 2 + 1) + (9 - 5 + 1)*(5*k - 12*k + 20*k) to the form y*k + z and give y. 63 Express -109*h + 51*h + 56*h + 2*h**4 + 2*h**3 - 121*h**4 as l + c*h**2 + f*h + g*h**4 + z*h**3 and give f. -2 Express 327*c - 327*c + 3*c**3 - 97*c**2 as j*c + y*c**2 + v*c**3 + b and give y. -97 Rearrange 127*r**2 + 8509 - 8509 to h*r**2 + z + g*r and give h. 127 Express (-5 + 0 + 3)*(4*w**2 + 0*w - 5*w**2 - 2*w) + (8 + 3*w - 8)*(w + 0*w - 3*w) as f*w + d + z*w**2 and give z. -4 Express -q**2 - 65*q**3 - q**2 + 5 - q + 66*q**3 in the form b + g*q**2 + f*q + p*q**3 and give g. -2 Express (-1 + 1 - 2*o)*(2 + 0 - 4)*(3 - 1 - 1)*(-1 + 4 - 2)*(-5720 + 5720 - 76*o**2) as y + v*o**3 + s*o + u*o**2 and give v. -304 Rearrange (-1 - 2*q + 1)*(-1 + 0 - 1) + (-1 + 1 - q)*(3 - 2 + 2) to o*q + y and give o. 1 Rearrange r**2 + r**2 - r**2 + (-3 + 4 + 1)*(5*r**2 + 26*r**2 + 13*r**2) - 3*r - 2*r**2 - 3*r + 3*r - 1 to the form u*r**2 + t*r + b and give t. -3 Rearrange (-3*v + 3*v - v**3)*(12 - 2 + 8) - v**2 + 14*v**3 - 15*v**3 - 5*v**2 - 2 to the form t*v**3 + a*v + m + i*v**2 and give m. -2 Express (0*t**2 + 0*t**2 - 3*t**2)*(-2*t + 0 + 0)*(6*t - 2*t - 2*t)*(2 - 6 - 4) in the form f*t**3 + b*t**2 + z*t**4 + w + s*t and give z. -96 Express 324*i + 208*i - 113*i in the form t*i + r and give r. 0 Rearrange -4550 + 4550 + 101*n**2 to c*n + t + j*n**2 and give j. 101 Rearrange (0 + 0*z - 4*z + 2)*(-3*z - 4*z + 4*z) - 7*z**2 - 19*z + 19*z to l*z + k*z**2 + a and give l. -6 Express -560*f + 56*f - 84*f in the form j*f + g and give j. -588 Rearrange (26 + 7 - 3)*(-2*s - s - 5*s) to the form m*s + z and give m. -240 Rearrange (2*l - 5*l + l)*(167*l - 167*l + 48*l**2) + 2*l**3 - 5*l**2 + 5*l**2 + 2*l**3 + 3 - 3 to the form m + x*l + w*l**3 + c*l**2 and give w. -92 Rearrange -8 + 8 - 144*l - 612*l to d*l + w and give d. -756 Express 2*w - 43*w + 21*w - 72*w as x + d*w and give d. -92 Rearrange (0*l + 3*l - 2*l)*((-1 + 11 + 0)*(-39 + 5 - 46) - 2 + 6 - 3) + (-2 + l + 2)*(-3 - 2 + 3) to the form p + b*l and give p. 0 Express -4*r**2 - 8*r**3 - 4 + r**2 + 44*r - 2*r**2 - 94*r + 48*r in the form p*r + w + t*r**3 + l*r**2 and give w. -4 Express -k**2 - 2*k + 14*k - 38*k - 74*k in the form p + y*k**2 + t*k and give y. -1 Express 0 + 440*a**3 - 372*a**3 - 2 as g*a**3 + p + w*a + b*a**2 and give w. 0 Rearrange (-2*x + 0*x + 0*x)*(0 + 0 - 1) + (5 - 3 - 1)*(-2*x + 5*x - x) + 76*x - 310*x - 19*x to the form n*x + f and give n. -249 Express 5*y - 3*y + 1545 - 1541 + y**2 as t*y**2 + g + u*y and give g. 4 Express -6*f - 35*f**3 - 36*f**3 - f**4 - 3 + 104*f**3 - 36*f**3 in the form j + t*f**4 + k*f**2 + g*f + o*f**3 and give g. -6 Express 36*d + 147*d + 29*d - 6*d + 3 - 1 in the form c*d + r and give r. 2 Express 12*g**3 + 5*g**2 - 3 - 74*g**3 + 56*g**3 + g in the form b*g + w + p*g**3 + v*g**2 and give b. 1 Rearrange (-h - h**2 + h)*(h - 3 + 3) - h**3 + 2*h - 2*h - 31*h**3 + 2*h**3 - 11*h**2 - 16*h**3 to the form q*h**3 + w + a*h + d*h**2 and give d. -11 Rearrange -2*f + 57*f**2 + 25*f**3 - 57*f**2 + (f**3 + 1 - 1)*(-3 + 4 + 0) to p + h*f**2 + k*f + w*f**3 and give k. -2 Express -p**2 - 7*p**3 + 0*p**3 + 6*p**3 + p**4 + 3*p**2 + 1 - 54*p + 1 in the form v*p + g*p**3 + u*p**4 + z*p**2 + c and give u. 1 Express (180*u**2 - 81*u**2 - 36*u**2)*(3*u**2 - 2*u**2 + 0*u**2) as a + m*u**4 + f*u**3 + r*u + t*u**2 and give f. 0 Express (37*i - 12*i + 54*i)*(64 - 31 - 26) as h + r*i and give r. 553 Express (-v - 4 + 4)*(-5*v + 4*v - 3*v) + 3*v**2 - 3*v**2 - 2*v**2 + v**2 + v**2 + v**2 - 6 - 6*v**2 + 6 as h + u*v + p*v**2 and give p. -1 Express 2*l**2 - 4*l**2 + 13*l**3 + l - 4 - l**4 + l**2 + 1 - 3*l**3 as n*l**2 + a*l**4 + q*l**3 + j + t*l and give t. 1 Rearrange -m**3 + m + 0 + 8 - 4 - 3 to the form n + v*m**2 + r*m**3 + f*m and give v. 0 Rearrange 662*z - 2*z**2 + 2 - 659*z + 3*z**2 to a + y*z + p*z**2 and give p. 1 Rearrange (-2*v + 2 - 2)*(0*v + 0*v + 2*v) + 0*v**2 + v**2 - 2*v**2 + 3*v**2 + 5*v**2 + 2*v**2 - 2*v**2 + 4*v**2 + 0*v**2 to y + g*v**2 + q*v and give g. 7 Express -202*v - 219*v + 59*v - 65*v in the form s + p*v and give p. -427 Express -89*z + 89*z - 68*z**4 + z - z - 3*z**4 + (2*z**2 + 4*z**2 - 4*z**2)*(-2*z**2 - 2*z + 2*z) in the form o*z**4 + m*z + y*z**2 + c*z**3 + l and give m. 0 Rearrange -196*m - m**3 - 144*m + 397*m - 2*m**3 + m**4 to the form o*m**3 + p*m + k + g*m**4 + w*m**2 and give o. -3 Express -403*h - 1062*h**2 + 821*h - 418*h as q*h + r + a*h**2 and give a. -1062 Express r**2 - 2 + 4 + 111*r**4 - 4*r - 109*r**4 as l*r**2 + j*r + h*r**3 + z + u*r**4 and give l. 1 Express -171 + 4*k**3 + 166 - 13*k**3 - 2*k**2 + 13*k**3 + 2*k in the form p*k**3 + z + f*k**2 + i*k and give i. 2 Express -66 + x + 34 + 34 + 17*x**2 as r + i*x**2 + q*x and give q. 1 Rearrange -3*q**4 + 135*q**3 - 323 + 4*q**4 + 321 to m*q**3 + n*q**2 + w*q + b*q**4 + t and give m. 135 Express -17*z**2 - 15*z**2 - 2*z - 2*z**2 in the form m + w*z**2 + x*z and give m. 0 Express -4*q - 1470*q**2 + 1521*q**2 + 2 - 2 as g*q + k + i*q**2 and give g. -4 Express 63*l + 806*l**2 + 802*l**2 - 1606*l**2 - 2*l**3 as j*l**3 + u + k*l + s*l**2 and give j. -2 Rearrange -j**4 - 14*j - 12 - 2*
{ "pile_set_name": "DM Mathematics" }