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- 9 - 35*y)*(0*y + 3*y - y). -87*y**2 - 2*y Expand (-272*h**3 - 2396 + 2396)*(167 - 7*h - 167). 1904*h**4 Expand (-5*c + 2*c**2 + 5*c)*(55*c**2 - 7234 + 59*c**2 + 7231). 228*c**4 - 6*c**2 Expand (-3 + 9 + 0)*(-701*s + 112*s - 779*s). -8208*s Expand -f**5 + 3*f**5 - 4*f**5 + (0 + 0 + 2*f)*(2*f**4 - 3 + 3) + (1 - 5 + 2)...
{ "pile_set_name": "DM Mathematics" }
46. Let x = 1318 - 1307. Determine u(x). -42 Let c(i) = -i**3 - 8*i**2 - 5*i - 2. Suppose -3 = 2*a - 19. Suppose 0 = -a*u + 29 - 85. Give c(u). -16 Let u(v) = -v**3 - 4*v**2 + 2*v + 3. Let a(m) = 11*m**2 - 6*m - 9*m - 9*m - 24 + 16*m - m**3. Let z be a(10). Determine u(z). -5 Let j(y) = -2*y**2 + 6*y - 1. Let t(x) = 28...
{ "pile_set_name": "DM Mathematics" }
(-4)? 1/4 (-4 - (-5)/(-10))/((-60)/3640*-13) -21 What is the value of ((-3)/(-63))/((-5)/60) + (0 - 0)? -4/7 Calculate (1/3 + (-1)/(-3))/((-11466)/12285). -5/7 Evaluate 604/453*((-31)/(-2) - -4). 26 What is the value of (-10 - 1815/(-132))/((-15)/144)? -36 What is 1355/275 + -6 - 3/15*-4? -3/11 Calculate -9*5/5 - (36 -...
{ "pile_set_name": "DM Mathematics" }
e nearest to 1? (a) 0.3 (b) 2/7 (c) q c Let k = 0.017 + 0.083. Which is the closest to k? (a) 3/2 (b) 2 (c) -0.2 c Let n = -1 + 0.5. Let f be (6/(-4))/(102/(-8)). Let x be (-2)/14 + 32/56. Which is the nearest to 0.1? (a) x (b) f (c) n b Let t = -0.1 - -0.1. Let d be (6/(-15))/((-12)/(-15)). Let g = -10 + 10.3...
{ "pile_set_name": "DM Mathematics" }
66 Calculate prob of sequence iiv when three letters picked without replacement from ivuuiv. 1/30 Calculate prob of sequence ss when two letters picked without replacement from {m: 1, f: 1, c: 4, s: 3, t: 6}. 1/35 Four letters picked without replacement from iiiiiiiipiiiiiiipiii. Give prob of sequence ippi. 1/190 What ...
{ "pile_set_name": "DM Mathematics" }
. Is 17 a factor of (-5 - l - 12)*-41? True Let d(h) = 27*h - 34. Let g be 15 - (0 - (3 - 7)). Let o be d(g). Suppose 2*x - 268 = -3*p + 3*x, 3*p - 2*x - o = 0. Is p a multiple of 18? False Let f be 3 + 20/(-6) + 5522/6. Suppose -3*c - f = -11*c. Suppose -4*z = 5*u - 283, 3*u - 5*u - z = -c. Is u a multiple of 13? Fals...
{ "pile_set_name": "DM Mathematics" }
2. 4 + 2*sqrt(13) Simplify (-2*(sqrt(176) + 1 + sqrt(176)) + sqrt(891) + -6*(-4 + sqrt(891)))**2*5. -13420*sqrt(11) + 207075 Simplify ((-1*sqrt(117)*5 + -2*sqrt(117) + -3)*3 + 2)**2. 882*sqrt(13) + 51646 Simplify 6*((0 + sqrt(1300))**2 + sqrt(234)/sqrt(2) + 1 + sqrt(637) + 1). 60*sqrt(13) + 7812 Simplify (2 + (1*sqrt(5...
{ "pile_set_name": "DM Mathematics" }
x = 46*t - 20, 0*x = -45*t + 2*x + 84 for t. 2 Solve 4*h = -3*n - 492 + 481, 5*n = 3*h + 1 for n. -1 Solve -8350*w - 7 = -8345*w + 2*n, 2 = w - 3*n for w. -1 Solve -5*g = 25, -6*g + 38 = -2*q - 7*g + 37 for q. 2 Solve -3*p - 5*a + 0*a = 7, p - 3*a = 7 for p. 1 Solve -z + 7 = 4*c + 8 + 9, 27 = -9*c for z. 2 Solve -6*o -...
{ "pile_set_name": "DM Mathematics" }
ase 2, what is 10011 - -100110101000? 100110111011 In base 3, what is 0 + 211222220220? 211222220220 In base 7, what is -2 + -44032? -44034 In base 4, what is 13 + -10322211? -10322132 In base 12, what is -337 + -69? -3a4 In base 7, what is -316113 + -2? -316115 In base 7, what is -130 + -161151? -161311 In base 3, wha...
{ "pile_set_name": "DM Mathematics" }
2*f - 0*f + 6*f. Let p = f - m. Calculate the remainder when 5 is divided by p. 2 Suppose 294 = -4*z - 2*n, 0 = 4*n + 2 + 2. Let a = -49 - z. What is the remainder when a is divided by 13? 11 Let s(o) = -o - 4. Let h be ((-4)/6)/(3/36). Let q be s(h). Let n = 9 + q. Calculate the remainder when 25 is divided by n. 12 ...
{ "pile_set_name": "DM Mathematics" }
Rearrange (-3*d**2 + 3*d**2 + 9*d**2)*(7 - 8 + 21 + 3*d) to the form c*d**3 + p + t*d**2 + a*d and give t. 180 Express -116 + 54 + 1 + 17*b + 13*b as z + t*b and give z. -61 Express 7*s**3 - 7*s**3 + 1731*s**2 - 2*s + 1201*s**2 + 8*s**3 - 4*s**3 as u*s**2 + v*s + c*s**3 + g and give u. 2932 Express (-8*m + 14*m + 121*m...
{ "pile_set_name": "DM Mathematics" }
5*d + 5. Let a(u) = -2*f(u) - 5*z(u). Let h(i) = -16*i. Calculate a(h(w)). 256*w**2 Let p(b) = b. Let v(m) = 11*m - 25*m + 4*m + 12*m. Determine p(v(u)). 2*u Let k(i) = -52*i. Let u(n) = 2*n - 2*n + 2*n. Determine u(k(t)). -104*t Let s(f) = 5*f. Let i(a) = 9*a. Let m(g) = -4*g. Let c(q) = -6*i(q) - 14*m(q). Give c(s(w...
{ "pile_set_name": "DM Mathematics" }
12*o = 1027 for o. -79 Solve 1073*u - 36404 = -30*u + 7716 for u. 40 Solve -1227*p - 6758 = -134*p - 20967 for p. 13 Solve 83*w + 933 + 1308 = 0 for w. -27 Solve 879*w + 883*w = -860*w + 2590*w - 2368 for w. -74 Solve 4*g + 102*g = -41*g - 2205 for g. -15 Solve 0 = -147*s - 27313 + 33193 for s. 40 Solve -14293 + 27778 ...
{ "pile_set_name": "DM Mathematics" }
241 - 13.66. Round k to 3 dps. -0.008 Let r = -3.07 + -139.93. Let p = r - -143.0119. What is p rounded to three decimal places? 0.012 Let q = -1017.9118 + 1018. What is q rounded to 3 decimal places? 0.088 Let c = -60 - -20. Let o = -39.999912 - c. What is o rounded to five decimal places? 0.00009 Let s = -1057.7412 +...
{ "pile_set_name": "DM Mathematics" }
4 = -7*a. Which is smaller: a or p? p Let o = 4.77 + -2.5. Let j = -1.73 - o. Which is greater: j or 23? 23 Let m(n) = -7*n - 11 - 8*n + 44 + n**2. Let y be m(10). Do -73/4 and y have the same value? False Suppose n - 88 = 5*q, 272*n - 275*n + 30 = -2*q. Is 1 greater than or equal to q? True Let v = -64 + 79. Suppose ...
{ "pile_set_name": "DM Mathematics" }
2 for k. -1 Solve -16472*u - 5*r + 30 = -16472*u, 2*r - 5 = -7*u for u. -1 Solve -5*c - q + 1 = 0, 0*q - 5*q + 10 = 3*c - 6*c - 23 for c. -1 Solve 5*k = 3*w - 20, -2*w + 29 - 10 = 19 for k. -4 Solve 0 = 4*x + 34*u - 310 - 248, -59 = 5*x - 2*u for x. -5 Solve 21*d = 2*f - 96, 14 = -29194*d + 29189*d - f for d. -4 Solve ...
{ "pile_set_name": "DM Mathematics" }
2/3*s**2 + 4/9*s**3 - 8/9*s - q. -2*(s - 2)**2*(s + 1)**2/9 What is h in -24*h**3 + 8*h**4 - 32*h**2 - 15*h**4 + 5*h**4 - 2*h**4 = 0? -4, -2, 0 Let d = -322 + 414. Let m be d/230 + 12/(-55). Factor -2/11*r**5 + 0 + 0*r + 0*r**3 + m*r**4 + 0*r**2. -2*r**4*(r - 1)/11 Let o(q) be the first derivative of -4*q**3/3 + 732*q...
{ "pile_set_name": "DM Mathematics" }
(-5)/(20 + -5)). Suppose 30*i = 2*i + w. List the prime factors of i. 2, 7, 11 Let k(x) = x**3 - 5*x**2 + 4*x - 20. Let r be k(5). Suppose 9*z = 10*z - 2, r = 5*a - 5*z - 295. What are the prime factors of a? 61 Let n(l) = -5434*l - 5011. List the prime factors of n(-2). 5857 Suppose 53 = 3*k + 41. Suppose -k = -3*c - ...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from vtyytqqtrltvyy. 2/91 Four letters picked without replacement from qrqrrrrrrqqprqqg. Give prob of picking 2 q, 1 g, and 1 r. 6/91 What is prob of picking 2 p when two letters picked without replacement from hpmrppphphchbpbbmp? 7/51 Two letters picked without replacement from cyhyc. Give prob of p...
{ "pile_set_name": "DM Mathematics" }
o - 3*k, -q*o + 3*k = 2292. Find the common denominator of -75/2 and 2/(-12)*o/6. 4 Let j = 887/2 - 432. Let o = 0 - 0. What is the common denominator of j and (-43 + o/1)/8? 8 Suppose 3*d = d + 2. Suppose 0 = -3*x - d - 2. What is the common denominator of 103/10 and (x + (-154)/10)/(-4)? 10 Let t be (-6)/27 + 499/223...
{ "pile_set_name": "DM Mathematics" }
- 2*y - 23 wrt y. -36*u*y + 21297498*y What is the second derivative of -652949*w**5 - 3*w**2 - 120376368*w wrt w? -13058980*w**3 - 6 Find the third derivative of 23112490*i**4 - 2346*i**2 - 2605 wrt i. 554699760*i What is the second derivative of -249307643*m**2 + 2*m - 83538221 wrt m? -498615286 What is the second d...
{ "pile_set_name": "DM Mathematics" }
)/(-32)). Let c be (-48293)/(-210)*(-5)/r. Let o = c - -751/8. What is the common denominator of o and -2/15? 90 Let v(c) = 2*c**2 - 7*c - 235. What is the lowest common multiple of v(-25) and 630? 10710 Let q = -37 - -40. Suppose 0 = -2*t + q*t + 80. What is the common denominator of -47/2 and (-188)/(-14)*(-6)/t? 140...
{ "pile_set_name": "DM Mathematics" }
ding order. g, 2, 4 Let d(b) = 2*b**2 + 28*b + 4. Let t be d(-14). Put t, 1, 0 in ascending order. 0, 1, t Let g be (42/(-60) - -1)*5/6. Sort g, -0.1, 0.5. -0.1, g, 0.5 Let p be (1 - -1 - 2) + 4. Suppose -p*h = 2*a - 8, h + 1 = 2*a + 3. Put 3, h, -1 in ascending order. -1, h, 3 Let o = -24 + 22.9. Let v = -0.6 - o. Sor...
{ "pile_set_name": "DM Mathematics" }
*f + 30 for z. 3 Suppose -2*w - 12*h = -10*h, 5*w - 2*h = 14. Solve 0 = -11*s + 12*s + 3*d + 1, -2*d - w = 2*s for s. -1 Suppose 147*t + 3*i - 22 = 142*t, 0 = -3*t + 5*i - 14. Solve 5*j = t*f - 1, 3*f - f = -2*j - 6 for j. -1 Let f(x) = x**3 + 17*x**2 - 3*x - 49. Let h be f(-17). Let r(c) = c**2 + 3*c - 14. Let l be r(...
{ "pile_set_name": "DM Mathematics" }
o**2/13 + 1003996*o/13 - 2008096 = 0. What is o? -502024, 26 Factor 95*o**2 - 743815*o - 274050. 5*(o - 7830)*(19*o + 7) Suppose q**4/2 - 314233*q**3/2 + 24679780271*q**2/2 + 913570790605*q/2 + 444445348050 = 0. What is q? -36, -1, 157135 Factor s**2 - 17130892*s + 17130891. (s - 17130891)*(s - 1) Factor r**4/6 - 3217*...
{ "pile_set_name": "DM Mathematics" }
inder when 69 is divided by l. 19 Suppose -9*x = -15*x + 420. What is the remainder when x is divided by 16? 6 Suppose 17 = 2*c - 3*m, -2*m + 3*m - 21 = -2*c. Suppose 3*w + w = 3*p + 193, 5*p - 5 = 0. What is the remainder when w is divided by c? 9 Let w = 45 - 25. Let c(k) = -2*k**3 + 11*k**2 - 8*k + 21. Let b be c(11...
{ "pile_set_name": "DM Mathematics" }
+ 18, s + i = -3. Suppose 0 = 2*j + a - 4*a - 12, s*j + 4*a + 2 = 0. Solve 0 = -j*r, -5*x + 3*r + 25 = -r for x. 5 Let i(p) be the second derivative of -p**5/20 + p**4/3 - p**3/6 - 3*p**2/2 + 2*p. Let n = 18 - 15. Let y be i(n). Solve y*r + 2*b = -18, -r = r + b + 11 for r. -4 Let j be 20/7 - (-78)/(-91). Solve j*l + ...
{ "pile_set_name": "DM Mathematics" }
s. -24 Solve -31*r + 356 + 140 = 0 for r. 16 Solve -265 + 822 + 67 = -52*r for r. -12 Solve -17191 = 114*d - 12631 for d. -40 Solve -2*f = -1602 + 1586 for f. 8 Solve -3871 + 1155 = 97*g for g. -28 Solve -296*z + 30 = -302*z for z. -5 Solve 34 = 369*u - 352*u for u. 2 Solve 147*j = 85 - 1702 for j. -11 Solve -3418*a +...
{ "pile_set_name": "DM Mathematics" }
is -14253 + 5? -14247 In base 14, what is 3b - 84? -47 In base 12, what is 357b - -5? 3584 In base 2, what is -1111000 - -100000? -1011000 In base 5, what is 122 - -12? 134 In base 3, what is 110221 - 11? 110210 In base 4, what is 10 - 1? 3 In base 7, what is 0 + 3? 3 In base 10, what is -1 + 7? 6 In base 8, what is -...
{ "pile_set_name": "DM Mathematics" }
= -2*j - 5*f. Suppose -j*w + 5*w = -220. List the prime factors of w. 2, 11 Let t be (-4)/3*(-8 + -214). Suppose 0 = 4*n - j - 2*j - 272, t = 4*n + 3*j. What are the prime factors of n? 71 Suppose -4*l - 2*y = -7 + 3, -5*l = 5*y - 15. Suppose 5*r = 5*x - 25, 0*r - 3*r - 3 = 3*x. List the prime factors of x - (l - 0) -...
{ "pile_set_name": "DM Mathematics" }
irst derivative of b**6/60 - 7*b**3/6 - 7*b**2/2 + 10. Let w(v) be the second derivative of c(v). What is the derivative of w(g) wrt g? 6*g**2 Let l(u) = 4*u**4 - 2*u**3 + 282*u**2 + 9. Let r(i) = 2*i**4 + 1. Let k(b) = 2*l(b) - 18*r(b). Find the third derivative of k(c) wrt c. -672*c - 24 Let z(x) be the second deriva...
{ "pile_set_name": "DM Mathematics" }
-3*l**2 - 456*l + 459. -3*(l - 1)*(l + 153) Suppose -1018900082*u**3/15 - 407541976*u**2/3 + 180566*u/15 - 4/15 = 0. What is u? -2, 1/22571 Find q such that -q**5 - 336*q**4 - 1002*q**3 - 1000*q**2 - 333*q = 0. -333, -1, 0 Factor 2*u**2 - 457960*u + 26215920200. 2*(u - 114490)**2 Find c such that -c**3/2 - 107*c**2/2 ...
{ "pile_set_name": "DM Mathematics" }
res. 0.7185391 How many seconds are there in 1/24 of a day? 3600 How many months are there in 806.7007 millennia? 9680408.4 How many hours are there in ten thirds of a day? 80 How many years are there in six fifths of a century? 120 How many days are there in 2546.3058 hours? 106.096075 How many milligrams are there in...
{ "pile_set_name": "DM Mathematics" }
Let a be f(u). Let m(v) = a - 574 + 0*v**3 - v**2 + v + v**3. Give m(0). 3 Let t = -56 + 58. Let u be -3*((-2)/t)/(1/(-3)). Let s(r) = -1 + 0 - 6 - r - 1. What is s(u)? 1 Let m(c) = c**2 - 169*c + 16 + 351*c - 168*c - 4. Determine m(-12). -12 Let b(l) = -294*l**2 - 301*l**2 + l + 904*l**2 - 304*l**2 + 33 + l**3. Give ...
{ "pile_set_name": "DM Mathematics" }
est value? (a) n (b) -2/41 (c) 2/7 b Let z = -1845 - -9228/5. What is the fourth smallest value in z, -0.13, 0.4, 2? 2 Let m = -1 - -6. Let f = 32.9 + -33.1. Which is the fourth biggest value? (a) 4 (b) f (c) 3 (d) m b Let g(h) = 48*h - 283. Let a be g(6). What is the third smallest value in a, 0.02, 26? 26 Let ...
{ "pile_set_name": "DM Mathematics" }
+ 552*a Suppose -k - 3*p = -3579, -5*p = 6*k - 3*k - 10737. What is the third derivative of -25*w**6 + k*w**2 - 18*w**6 - 3504*w**2 wrt w? -5160*w**3 Let s be ((-2)/4)/(6 - (-37)/(-6)). Find the second derivative of 31*u**3 - 11*u**3 + 34*u**s + 7 + 16*u**3 + 2*u wrt u. 420*u Let x be (-326)/(-9) - (-10)/(-45). Suppose...
{ "pile_set_name": "DM Mathematics" }
t as big as 17? False Is -1/3202 smaller than 0? True Does -2/1175 = 0? False Which is smaller: 1306 or -1? -1 Which is smaller: 19038/17 or 1121? 19038/17 Is 5908 != 5910? True Are 23476 and 23475 unequal? True Is -16.4 at most -1.5? True Which is smaller: -2 or 0.075? -2 Are 23 and 26 equal? False Is 0.35 < 0? False ...
{ "pile_set_name": "DM Mathematics" }
s the third root of 368102617 to the nearest integer? 717 What is the cube root of 1278210436 to the nearest integer? 1085 What is the third root of 496036983 to the nearest integer? 792 What is the square root of 169430383 to the nearest integer? 13017 What is 2248257820 to the power of 1/5, to the nearest integer? 74...
{ "pile_set_name": "DM Mathematics" }
05 to the nearest integer? 366 What is the eighth root of 188666350 to the nearest integer? 11 What is the square root of 834487796 to the nearest integer? 28888 What is 69890257 to the power of 1/2, to the nearest integer? 8360 What is the cube root of 28675444 to the nearest integer? 306 What is the third root of 446...
{ "pile_set_name": "DM Mathematics" }
t -294, 5, 68, 1 in increasing order. -294, 1, 5, 68 Sort 3, -13, -9, -312, 4 in increasing order. -312, -13, -9, 3, 4 Sort 63, 5, -1, -387. -387, -1, 5, 63 Put -4, 18, 56, 15 in increasing order. -4, 15, 18, 56 Put 1/2, 64, 3714 in descending order. 3714, 64, 1/2 Sort -0.4, 1/6, -1, -0.235. -1, -0.4, -0.235, 1/6 Sort ...
{ "pile_set_name": "DM Mathematics" }
84921 - m. Round y to the nearest one million. 10000000 Suppose c + 4*c - 5*n - 15 = 0, 0 = -3*n. Suppose c*d - 7294528 = -64792903. Let l = 32966125 + d. What is l rounded to the nearest one million? 14000000 Let s = -24451 + 24471.022. Let w = s - 0.022. Let f = w - 19.928. What is f rounded to 2 decimal places? 0.07...
{ "pile_set_name": "DM Mathematics" }
o the power of 1/5, to the nearest integer? 6 What is 671 to the power of 1/10, to the nearest integer? 2 What is 37164 to the power of 1/3, to the nearest integer? 33 What is the sixth root of 8870 to the nearest integer? 5 What is the eighth root of 2075 to the nearest integer? 3 What is 1905 to the power of 1/7, to ...
{ "pile_set_name": "DM Mathematics" }
1. What is the closest to l in z, 1/10, -3? 1/10 Let n = 0.3 + -0.3. Let v(m) = m**2 + 8*m + 10. Let a be v(-5). What is the closest to n in -2, a, 0.2? 0.2 Let i = -0.21 + 0.3. Let q = 3.09 - i. Which is the closest to 0? (a) -2/11 (b) q (c) -0.1 c Let z = -446/3801 - -4/181. Let v = -1.5 - -1. Let p = v - -1. Whic...
{ "pile_set_name": "DM Mathematics" }
of -3*k**4*w - 2*k**4 + 1549*k**3*w + 2*k**3 - 12*k**2 + 6*k*w + 2*k + 17 wrt k? -72*k*w - 48*k + 9294*w + 12 Find the third derivative of -5868*y**5 + 8028*y**2 wrt y. -352080*y**2 What is the third derivative of -48*o**6 - 2*o**5 - 60*o**2 wrt o? -5760*o**3 - 120*o**2 Find the second derivative of -42*y**3 + 4*y - 2...
{ "pile_set_name": "DM Mathematics" }
/19 - 2 - 75/171 -1/3 What is 2/3 + 6*(-77)/(-198)? 3 What is the value of 12/8*(-40)/(-45)? 4/3 What is the value of -6 + (5 - 1) + 1 + -1? -2 Evaluate ((-12)/(-84)*0)/2. 0 What is (7/(-105))/((-13)/(-156))? -4/5 What is 3 - (36/6 + -5) - 5? -3 (2 - 2)/(1 - -3) 0 What is -10*(-7)/(-14) + (-4 - 1)? -10 Evaluate 26/60 +...
{ "pile_set_name": "DM Mathematics" }
) -1/5 Evaluate -1*(-3)/1 + 1/(-1). 2 Calculate 3 - 63/36*4. -4 What is the value of 116/(-1305)*(-4)/((-8)/(-5))? 2/9 What is ((-90)/(-120))/((9/28)/(-3))? -7 What is the value of -5 + -76*10/(-160)? -1/4 What is ((-1)/2)/((-1)/10)? 5 Evaluate (33/(-110))/(3/(-5)). 1/2 6 + 1 - 756/63 -5 Evaluate 5/2*(-88)/165. -4/3 Ev...
{ "pile_set_name": "DM Mathematics" }
9 + -0.29. Suppose b - 3*b + 3 = -3*n, 0 = 4*n - b - 1. What is the smallest value in n, -4/5, j? -4/5 Let i = 2318 + -2318. Let g be ((-3)/(-7))/((-3)/2). Which is the fourth smallest value? (a) i (b) -3/7 (c) g (d) 2 d Suppose -x = 4*x + 25. Suppose 10*z - 24 = 7*z. Let r be 6/(-8)*z/10. What is the second bigges...
{ "pile_set_name": "DM Mathematics" }
List the prime factors of 2136/4*(4 - 3/1). 2, 3, 89 Let c(m) = 40*m. Let q be c(-5). Let i = q + 283. What are the prime factors of i? 83 Let q = 125 - 9. Suppose 5*u - a = 312, -u - q = -3*u - 4*a. What are the prime factors of u? 2, 31 Let l(u) be the third derivative of u**5/60 - u**4/8 + u**3 + 20*u**2. Let x(i) =...
{ "pile_set_name": "DM Mathematics" }
? True Let n(v) be the first derivative of -v**4/4 + 7*v**3/3 - 5*v**2/2 + 4*v + 2. Is n(6) a multiple of 9? False Let f(y) = -y**3 - 3*y**2 - 4*y - 1. Let m be f(-3). Suppose -2*k + m = -k - 3*b, 0 = -k - 4*b - 10. Suppose 114 = k*l + 30. Is 13 a factor of l? False Let j = 351 + -213. Is 22 a factor of j? False Suppos...
{ "pile_set_name": "DM Mathematics" }
*4 - 24 Let q(p) be the third derivative of 0*p + 0 + 0*p**3 - 55*p**2 - 5/24*p**4. Let t(r) = 4*r**2. Give q(t(z)). -20*z**2 Let j be 4 + 3 - 6/2. Suppose -7*i - 2 = -4*i + j*v, -16 = -4*i + 4*v. Let r(b) = 28*b**i - 12*b**2 - 10*b**2. Let w(p) = -p. Calculate r(w(l)). 6*l**2 Let d(x) = -6*x + 16. Let q(s) = -7*s + 20...
{ "pile_set_name": "DM Mathematics" }
on divisor of 90 and 198. 18 What is the highest common divisor of 180 and 75? 15 What is the greatest common factor of 4375 and 525? 175 What is the greatest common divisor of 96 and 1338? 6 Calculate the highest common factor of 27204 and 36. 12 What is the highest common divisor of 44 and 108? 4 Calculate the highes...
{ "pile_set_name": "DM Mathematics" }
*3 Let u(n) be the second derivative of 665*n**4/6 + 635*n**2 + 360*n - 3. What is the first derivative of u(q) wrt q? 2660*q Let h(c) = -129*c + 136. Let l be h(1). Let s be (20/6)/(4/42). Find the second derivative of -l*i + 8*i + 18*i + s*i**3 + 9*i wrt i. 210*i Let d be (-1002)/(-8) + (-13)/52. Suppose 5*g + d = 10...
{ "pile_set_name": "DM Mathematics" }
the third derivative of o(r) wrt r. -96*r Let f be 42/(-9)*(-54)/21. What is the first derivative of -f + 3 - 3*y - 3*y + 0 wrt y? -6 Let j(o) = 10*o. Let x(c) = -10*c - 1. Let r(q) = 5*j(q) + 4*x(q). What is the derivative of r(u) wrt u? 10 Let x(f) be the first derivative of -1/3*f**6 + 0*f + 3/2*f**2 + 0*f**4 + 0*f...
{ "pile_set_name": "DM Mathematics" }
4*k - 3*q = -4*q + 9, 0 = -5*k - q + 11. Let f = 6 + -11. Let h = f + 9. Solve -h*t - k - 4 = 3*v, 2*t = -2*v - 2 for t. -3 Suppose 2*k - 28 + 24 = 0. Let s be -4 + (k + 16 - 4). Suppose 0 = 2*v + 3*v - s. Solve 4*y + 2*i - 4 = -0, -v*i = -5*y + 14 for y. 2 Suppose 25*x = -82*x + 11449. Solve -3*t + 110*f = x*f + 18, ...
{ "pile_set_name": "DM Mathematics" }
2 - -3). Let c(a) be the first derivative of j - 2*a**2 + 0*a - 3 - a. Give c(-1). 3 Let h(o) be the second derivative of 0*o**3 - 2/3*o**4 + 1/20*o**5 + 0 - 25*o - 3*o**2. Calculate h(8). -6 Let m(g) = -g**3 - 4*g**2 - 4*g. Let l be m(-3). Let y(v) = -4*v**2 - 33*v + 36*v - 15*v**3 + 16*v**3. Determine y(l). 0 Let i(u...
{ "pile_set_name": "DM Mathematics" }
or p? -4/11 Let p be 10/(-12) - ((-130)/(-60) + -2). Is -2/109 smaller than p? False Suppose -l - 3*l - 5*j - 5 = 0, 3*l = -5*j - 5. Let d be -1 - (69/(-60) + 2). Let g = d + 9/4. Is g greater than l? True Let a be (-2)/(-7) + 6/(-21). Suppose -5*k + 2*k = -r - 2, -5*r - 25 = 0. Are k and a non-equal? True Let z = -0....
{ "pile_set_name": "DM Mathematics" }
second derivative of x**4/6 + 5*x**3/6 + 77*x**2/2 - 155*x. Does 35 divide y(-7)? True Suppose -5*x + 29*d = 34*d - 17460, 13980 = 4*x + 2*d. Is x a multiple of 11? True Let p(s) = -s**3 - 12*s**2 - 5*s. Let f be p(-5). Let a = f - -517. Is a a multiple of 44? False Suppose 138*d + 2694 = 141*d. Let y = d + -362. Is 8 ...
{ "pile_set_name": "DM Mathematics" }
*2 - v wrt v? -70440*v**3 Find the third derivative of 2058*y**6 - 2030*y**2. 246960*y**3 Find the first derivative of -21*f**3*o**2 - 6*f**3*o - 4*f**3 - f*o**2 - 210*f wrt o. -42*f**3*o - 6*f**3 - 2*f*o Find the third derivative of -p**3*q**3 + 37*p**3*q + 314*p**2*q**3 + 3*p*q**2 wrt q. -6*p**3 + 1884*p**2 Find the ...
{ "pile_set_name": "DM Mathematics" }
03, -437, -1111, -2459, -4715? -39*d**3 + 14*d**2 - 3*d - 175 What is the z'th term of 568709511, 1137419024, 1706128537, 2274838050, 2843547563, 3412257076? 568709513*z - 2 What is the s'th term of -55540285, -55540284, -55540283? s - 55540286 What is the d'th term of 119720, 239423, 359126, 478829? 119703*d + 17 What...
{ "pile_set_name": "DM Mathematics" }
ked without replacement from {s: 2, r: 1, e: 1}? 1/6 What is prob of sequence np when two letters picked without replacement from {q: 3, p: 1, m: 1, n: 6, e: 1}? 1/22 Calculate prob of sequence sns when three letters picked without replacement from evpnknks. 0 Two letters picked without replacement from {f: 3, i: 1, g:...
{ "pile_set_name": "DM Mathematics" }
432) - 3*(sqrt(432) - 2*sqrt(432))) + sqrt(147) + 1 + 5). -331*sqrt(3)/6 - 6 Simplify -4*((sqrt(170)*1*4 + (4*sqrt(170)*-1 - sqrt(170) - sqrt(170)))/(5*(sqrt(10) - sqrt(160))*-5) + 0). 8*sqrt(17)/75 Simplify (sqrt(280)/(sqrt(10) + -4*sqrt(40)))/(-3*(sqrt(24) + sqrt(48)/sqrt(2))/sqrt(6)). sqrt(7)/42 Simplify 3 + (sqrt(1...
{ "pile_set_name": "DM Mathematics" }
= -l. Let y be q(-1). Let o(h) = -6*h**3 - 5*h**2 - h + 1. Let w(f) = -f**3 - f**2. Let p(i) = o(i) - 4*w(i). Determine p(y). -3 Let f(q) = -2*q + 7 + 5*q - 2 - 1. Give f(3). 13 Let c(q) = -q**2 + 5*q + 6. Let x = 5 + 1. What is c(x)? 0 Let c = 6 + -8. Let r(n) = -2*n + 6. Let u(k) be the third derivative of -k**4/6 + ...
{ "pile_set_name": "DM Mathematics" }
4 (base 16) in base 8? -172324 -3a3ab (base 14) to base 4 -203001003 What is 2232104303 (base 5) in base 7? 60063252 Convert -315782 (base 9) to base 12. -90962 7b7093 (base 15) to base 14 ad6ad9 Convert -4951a (base 14) to base 3. -100010001010 Convert 16743 (base 9) to base 14. 42c5 What is -115234 (base 8) in base 5...
{ "pile_set_name": "DM Mathematics" }
What is (-14292)/(-136) - (-2262)/(-25636)? 105 Evaluate 9 + 3 + (-1 - 6) + -283 + 281. 3 Evaluate 0 - (0 + 4/26 - ((-13630)/130 - 15)). -120 Evaluate 6/3552*5188 + (-13)/(-52) - (7 + 2). 1/74 Evaluate (-67)/((-27872)/156) + (-1575)/(-24). 66 What is (8 + -2 - 1008/140)/(((-4)/(-4))/(-45))? 54 What is the value of (14 ...
{ "pile_set_name": "DM Mathematics" }
. Let h be (1/w + 2)*-3. Determine m(h). 8 Let p(g) = -g - 3. Let r be (-4)/14 - (-95)/(-35). Let w(s) = -s**2 - s. Let c be w(r). What is p(c)? 3 Let t = 193 + -192. Let u(n) = -11*n**3 - n**2 - n + 1. Calculate u(t). -12 Let g(a) = 2*a. Let y be 1/(-2) + 63/14. What is g(y)? 8 Suppose 0*t = 3*t + 15. Let a(k) be the ...
{ "pile_set_name": "DM Mathematics" }
o - 403. Calculate -6*c(g) - 403*d(g). -31*g Let a = 8 + -6. Let z(f) = 4 - 2*f - 4 - f**3 + 0*f + f**2 - a. Let u(k) = -3*k**3 + 4*k**2 - 7*k - 7. Give -2*u(o) + 7*z(o). -o**3 - o**2 Let n(f) = -6*f**3 + 5*f**2 + 36*f. Let k(r) = 4*r**3 - 3*r**2 - 24*r. What is 8*k(s) + 5*n(s)? 2*s**3 + s**2 - 12*s Let z(w) = 52*w**3 ...
{ "pile_set_name": "DM Mathematics" }
+ 69 - 41, -3*q - 5*m - 11 = -6 for q. -5 Solve 4*i + 2*n = -32, 4*i - 202*n + 68 = -207*n for i. -2 Solve 0 = -j + 2*g - 9, 4*j - 241 + 272 = 3*g for j. -7 Solve -3*x - 1 = 4*y, -5*x + 334 = 8*y + 341 for y. -4 Solve -104 = -2*x - 7*i, -5*x + 14261 = -2*i + 14313 for x. -4 Solve -26*s + 25*s + 4*a = 5, 0 = 2*s + 5*a -...
{ "pile_set_name": "DM Mathematics" }
hree decimal places? 0.033 What is -0.00389082 rounded to 3 decimal places? -0.004 What is 1219678.3 rounded to the nearest ten thousand? 1220000 Round -0.03128066 to three dps. -0.031 Round 0.0000739419 to five dps. 0.00007 Round -3.840607 to three decimal places. -3.841 Round 7514.6231 to the nearest 100. 7500 Round ...
{ "pile_set_name": "DM Mathematics" }
3 (b) 1 (c) l a Let n = 0.418 + -0.318. Let g = 6 + -6. Let r = g + 4. What is the nearest to 2/3 in n, 0.2, r? 0.2 Let p = 1 + 2. Let d be 3/(-162)*-214 + -4. Let f = -23/108 + d. What is the nearest to f in p, -3/8, -3? -3/8 Let k be -1*(-29)/(-30) - (-4)/5. What is the nearest to 1 in k, 1, -0.29? 1 Let v = 3.022 ...
{ "pile_set_name": "DM Mathematics" }
rms in -11*z - 211 - 210 + 421 + 12*z. z Collect the terms in -3*b**3 + 7*b**3 - 1 + 0. 4*b**3 - 1 Collect the terms in -3 + 3 + 95*z - 93*z. 2*z Collect the terms in 7*r + 12 + 2 - 14. 7*r Collect the terms in -25 + 0*h + h + 2. h - 23 Collect the terms in -160*k + 178*k - 2 + 2. 18*k Collect the terms in -7*s - 13*s ...
{ "pile_set_name": "DM Mathematics" }
uppose 2*o + 5 = -3. Is 4*1/o*n a composite number? False Suppose 115*t - 403606 = 101*t. Is t a prime number? False Is 5*(-5026)/(-105)*(-3)/(-2) a composite number? False Is (0 - (-92)/6)/(54/7209) a prime number? False Let x be 4/22*1 + 40/22. Suppose -4*l - 2*v + 1937 + 283 = 0, 2*v - 1106 = -x*l. Is l a prime numb...
{ "pile_set_name": "DM Mathematics" }
+ 4*u. Suppose 12 - 7 = j. Let p(s) = -s - j + 0*s + 4 + 0. What is 6*p(a) - v(a)? -2*a + 1 Let s(z) = -5*z + 5. Let p be (12/(-9))/((-2)/3). Let k(q) = -q + 1. Determine p*s(v) - 9*k(v). -v + 1 Let m(b) = 3*b**3 + 3*b**2 + 8*b - 3. Let n(o) = -9*o**3 - 8*o**2 - 23*o + 8. Determine 8*m(p) + 3*n(p). -3*p**3 - 5*p Let s(...
{ "pile_set_name": "DM Mathematics" }
mainder when 468 is divided by 237? 231 Calculate the remainder when 207 is divided by 26. 25 What is the remainder when 42 is divided by 10? 2 What is the remainder when 44 is divided by 4? 0 Calculate the remainder when 3016 is divided by 108. 100 Calculate the remainder when 983 is divided by 33. 26 What is the rema...
{ "pile_set_name": "DM Mathematics" }
c))/c*c) assuming c is positive. c**(-61/5) Simplify m**12/m**(2/7)*(m/m**(-1/3))/m*m/(m/m**(2/31)) assuming m is positive. m**(7885/651) Simplify ((v**(-15)/v*v**(-12))**(-33))**(-36) assuming v is positive. v**(-33264) Simplify (a*((a*a*a**(-1/3)*a)/a)/a*a*a/a**5*a**(-5)/a*a**(2/13))**(-22) assuming a is positive. a*...
{ "pile_set_name": "DM Mathematics" }
13 = 5*m - 68. Let x = m + -12. What is the tens digit of (104/((-16)/4))/x? 2 Let o(q) = -7*q + 5. Let z be o(2). Let r be ((-144)/10)/(z/30). What is the tens digit of 1/((-2)/r*-2)? 1 Let f = -36 + 39. Let a(b) = -b**3 + 3*b**2 + 4*b - 1. What is the units digit of a(f)? 1 Let v = -1 + 69. Suppose -20 = 6*h - 2*h, -...
{ "pile_set_name": "DM Mathematics" }
t is the units digit of 93940? 0 What is the thousands digit of 7075808? 5 What is the hundred thousands digit of 7539587? 5 What is the hundreds digit of 1632183? 1 What is the tens digit of 2249505? 0 What is the units digit of 27715561? 1 What is the millions digit of 1391006? 1 What is the hundreds digit of 671422?...
{ "pile_set_name": "DM Mathematics" }
he remainder when 439232 is divided by 21. 17 Calculate the remainder when 95244 is divided by 532. 16 What is the remainder when 2744 is divided by 156? 92 Calculate the remainder when 1585 is divided by 70. 45 What is the remainder when 232959 is divided by 208? 207 What is the remainder when 102949 is divided by 219...
{ "pile_set_name": "DM Mathematics" }
*j**2 + o*j + t*j**3 and give v. -2 Express -4882 + 9761 - 4879 + 359*y + 203*y as l + t*y and give t. 562 Express 1459*h - 224*h - 388*h + 1622*h - 3*h as o*h + u and give o. 2466 Express (-11 + 13 + 362*s - 1 + 1)*(-8*s**3 + 0*s**3 - 4*s**3) as g + d*s**2 + m*s**4 + h*s + w*s**3 and give w. -24 Rearrange -163*p + 164...
{ "pile_set_name": "DM Mathematics" }
f 6342131? 1783, 3557 List the prime factors of 12365559. 3, 23, 31, 41, 47 List the prime factors of 635784. 2, 3, 59, 449 List the prime factors of 362264. 2, 7, 6469 List the prime factors of 4675360. 2, 5, 29221 What are the prime factors of 314166? 2, 3, 52361 List the prime factors of 11467917. 3, 89, 103, 139 Li...
{ "pile_set_name": "DM Mathematics" }
here between 1:56 PM and 8:42 PM? 406 What is 693 minutes after 6:18 AM? 5:51 PM What is 714 minutes after 7:29 PM? 7:23 AM How many minutes are there between 11:27 AM and 6:36 PM? 429 How many minutes are there between 10:45 PM and 11:44 PM? 59 What is 331 minutes after 1:21 PM? 6:52 PM What is 421 minutes after 7:33 ...
{ "pile_set_name": "DM Mathematics" }
-c*s + x = s for s. 4 Suppose 4 = -4*a + 16. Suppose 2*m = 3*s - 11, 12 = s - 3*m + 4*m. Solve a*n + s = -2 for n. -3 Let t(o) = 0*o - 12 + o + 2 - 6. Let q be t(10). Let d be q/(-15) - (-23)/5. Solve -d*i = 6 + 9 for i. -3 Suppose 0*n - 10*n - 3*n = 0. Solve n = 7*u - 5*u + 10 for u. -5 Let h(w) = w - 6. Let b be h(-2...
{ "pile_set_name": "DM Mathematics" }
1 AM and 8:45 AM? 354 What is 572 minutes after 9:07 AM? 6:39 PM How many minutes are there between 10:57 AM and 11:49 AM? 52 What is 204 minutes after 10:22 AM? 1:46 PM What is 48 minutes before 1:55 PM? 1:07 PM What is 136 minutes after 2:14 PM? 4:30 PM What is 237 minutes before 1:46 AM? 9:49 PM How many minutes are...
{ "pile_set_name": "DM Mathematics" }
9) to base 15 -36 Convert 40 (base 7) to base 14. 20 6 (base 14) to base 5 11 Convert 146 (base 7) to base 16. 53 2 (base 7) to base 16 2 What is 38 (base 10) in base 4? 212 Convert c (base 13) to base 16. c -42 (base 13) to base 14 -3c Convert -6 (base 16) to base 12. -6 -1 (base 15) to base 11 -1 -16 (base 12) to bas...
{ "pile_set_name": "DM Mathematics" }
for i. 3 Let g(j) = j**2 + 1 - 2*j**2 - 3*j**2 - 2*j**3 + 5*j**2 + 2*j. Let c be 1/1*(-3)/(-3)*-1. Let v be g(c). Solve 12 = -v*y + 2 for y. -5 Let n(i) = -i**2 + 3*i + 28. Let v be n(6). Suppose s + 0*s = -t + 4, 0 = 5*t + 10. Solve -v = -b + s*b for b. -2 Suppose -4*f + 8 = 5*d, -2*f + f = d - 3. Suppose -f*c = -0 -...
{ "pile_set_name": "DM Mathematics" }
- -1*6 and n. 10 Let i(a) = 5*a + 7. Let z be i(-2). Let g be (-47)/15 - z - 2473791/(-720). Let c = 3439 - g. What is the common denominator of -65/2 and c? 16 Let g = -35 + 30. Let v = -7 - g. Calculate the least common multiple of v*11*(-4)/8 and 1. 11 Suppose 10978*u = 10974*u + 2364. Calculate the lowest common mu...
{ "pile_set_name": "DM Mathematics" }
= -23 - -9. Let i(a) = 138*a**3 - a**2 + a - 1. Let j be i(1). Let u = j - w. What is the units digit of u? 1 Let m(j) = -j + 6. Let a = -23 + 34. Let b be m(a). Let o(d) = -d**2 - 6*d + 1. What is the units digit of o(b)? 6 Let i = -22 - -30. Suppose j + 5*l + i = 0, -4 = -2*j + 2*l + 4. Suppose 2*w - 54 = -j*k, 0*k ...
{ "pile_set_name": "DM Mathematics" }
: 2, r: 8, v: 5}? 8/1365 Calculate prob of sequence cn when two letters picked without replacement from ccnnnccccccccccc. 13/80 Four letters picked without replacement from wgwwggnnwnyngnwgw. What is prob of sequence wyww? 1/476 Two letters picked without replacement from xaaaaaxaaaaaaaaaaaa. Give prob of sequence ax. ...
{ "pile_set_name": "DM Mathematics" }
). 4 Let b be (-2)/(-5)*20/8. Suppose p = 3 + b. Let g(d) = 0*d**2 - 3 + 2*d**2 - 2 - 3*d**2 + 7*d. What is g(p)? 7 Let f be 8/20 + (-16)/(-10). Let k(j) = -j**3 - j - 3 + 0*j + 2*j**2 + 2*j**f. Let d be -3 + 3 + -1 + 5. What is k(d)? -7 Let c(t) = -298*t + 591*t - 5*t**2 - 293*t. Let b = -1 - -2. Give c(b). -5 Let t(i...
{ "pile_set_name": "DM Mathematics" }
6*o**2 Suppose 0 = 3*n - 5*n + 12. What is the derivative of -1 + 8*a + 3 + n + 3 wrt a? 8 Let a(d) be the first derivative of -9*d**5/5 - d**3/3 + 41*d - 95. What is the first derivative of a(g) wrt g? -36*g**3 - 2*g Let h(m) be the first derivative of -61*m**5/5 + m**4/2 + 10*m + 96. Differentiate h(l) with respect t...
{ "pile_set_name": "DM Mathematics" }
+ 1)/5 Let w(u) be the third derivative of u**7/490 + u**6/70 + 3*u**5/70 + u**4/14 + u**3/14 - 6*u**2. Determine p, given that w(p) = 0. -1 Let d(p) = p**4 - p**3 - 1. Let r(s) = -7*s**5 - 5*s**4 - 10*s**3 - 6. Let m(j) = -30*d(j) + 5*r(j). What is i in m(i) = 0? -1, -4/7, 0 Let y be (1/3)/((-14)/(-21) + 1). Factor -1...
{ "pile_set_name": "DM Mathematics" }
ower of 1/8, to the nearest integer? 4 What is 35075 to the power of 1/2, to the nearest integer? 187 What is the tenth root of 191865 to the nearest integer? 3 What is the seventh root of 391328 to the nearest integer? 6 What is 1032518 to the power of 1/3, to the nearest integer? 101 What is the square root of 386551...
{ "pile_set_name": "DM Mathematics" }
*u(j). 3*j**2 Let a(d) = -2*d + 3. Let r(q) = q**2 + 5*q - 51. Let w be r(-10). Let b(f) = 4. Let m(k) = 1. Let j(s) = -b(s) + 3*m(s). Determine w*a(z) - 3*j(z). 2*z Let m(z) be the third derivative of z**6/40 - 7*z**5/60 - z**2 - 79. Let o(n) be the second derivative of -n**5/20 + n**4/4 + n. Give -3*m(l) - 7*o(l). -2...
{ "pile_set_name": "DM Mathematics" }
+ 4*f = 3*f - 13. Solve 7*k + 4*q = t*k + 9, -3*q + 4 = j*k for k. -1 Suppose 39*r = 7*r. Solve r = 2*w + 28 - 20, 28 = 2*l - 5*w for l. 4 Suppose 6*y - 3*y - 27 = 0. Let m be 6/2 + 28 + -7 + -3. Solve m = -5*g + 2*j, y = 5*j - 6 for g. -3 Suppose -113 = -2*j + 71. Let n = 3279 + -3187. Let a = j - n. Solve -2*c + 1 = ...
{ "pile_set_name": "DM Mathematics" }
*m**2 + 3 + 2*m**2 - 4*m. Let t be l(2). Let x(v) = -v**3 - 6*v**2 + 3*v - 3. What is the tens digit of x(t)? 2 Suppose -x + 1987 + 2929 = 2*m, -m = -x + 4910. What is the tens digit of x? 1 Suppose 0 = 75*h - 71*h - 340. What is the tens digit of h? 8 Let o be (-1)/(-3) - 6/(-9). What is the tens digit of o - (7 + -3)...
{ "pile_set_name": "DM Mathematics" }
ivided by 29? 26 What is the remainder when 23329 is divided by 76? 73 What is the remainder when 12317 is divided by 160? 157 What is the remainder when 30937 is divided by 65? 62 Calculate the remainder when 209 is divided by 71. 67 What is the remainder when 243 is divided by 61? 60 What is the remainder when 480 is...
{ "pile_set_name": "DM Mathematics" }
206? 109 What is the next term in -76, -137, -178, -181, -128, -1, 218, 547? 1004 What is the next term in 588, 1428, 2264, 3096, 3924, 4748, 5568? 6384 What is next in 440, 880, 1320, 1760, 2200, 2640? 3080 What is the next term in -2881, -5760, -8611, -11434, -14229, -16996, -19735? -22446 What is the next term in 14...
{ "pile_set_name": "DM Mathematics" }
- 4. Calculate the highest common divisor of a and 15. 15 Let m be ((-126)/84)/(1/((-14)/3)). Calculate the highest common divisor of 35 and m. 7 Let g = -224 + 226. What is the highest common divisor of 80 and g? 2 Suppose -3*l = 3*p + p - 28, 0 = -4*l. Calculate the highest common factor of p and 35. 7 Suppose 95*q =...
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 12:14 AM and 1:23 AM? 69 How many minutes are there between 8:26 PM and 8:10 AM? 704 What is 386 minutes before 1:26 AM? 7:00 PM What is 708 minutes after 12:41 AM? 12:29 PM What is 644 minutes after 5:35 AM? 4:19 PM How many minutes are there between 1:19 AM and 8:20 AM? 421 What is 265...
{ "pile_set_name": "DM Mathematics" }
*f wrt f. -774*f Suppose -27*g = 17*g + 41 - 41. Let a(t) be the first derivative of -t + 16 + 0*t**2 + g*t**3 + 9/4*t**4. What is the derivative of a(j) wrt j? 27*j**2 Let n be (0/1*(61 + -60))/5. Let v(i) be the first derivative of 7 + n*i**3 + i**2 - 1/2*i**4 + 0*i. Find the second derivative of v(a) wrt a. -12*a Le...
{ "pile_set_name": "DM Mathematics" }
b = 0. Let y be (-2)/8 + (-7755)/(-44). Calculate the greatest common divisor of x and y. 22 Let r = -109 - -239. Let o(a) = 5*a**2 + 221*a + 57. Let t be o(-44). What is the highest common factor of t and r? 13 Let q be ((-4)/4)/(-1) + 2. Suppose -2*z + 110 = q*z. What is the greatest common factor of 88 and z? 22 Le...
{ "pile_set_name": "DM Mathematics" }