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at is the biggest value in -4/5, -4, o, -2? o Let w be 0 + (-15)/12 - (-59)/((-68204)/(-1309)). Let q = -47 - -330/7. Let s = -233/6 + 39. What is the smallest value in -1/2, q, s, w? -1/2 Let b = 36.7 - 35.6. Let i = -12.3 - -9.3. What is the biggest value in -9, i, b? b Let r = 4774 - 4774. What is the fifth smallest...
{ "pile_set_name": "DM Mathematics" }
= -13. Calculate f(i) - 13*u(i). 13*i Let v = -53 - -52. Let b = 6 - v. Let d(q) = 2434*q + 1 - 2434*q + q**2. Let u(g) = 2*g**2 + 2. Give b*d(j) - 4*u(j). -j**2 - 1 Let v = 5534 + -5526. Let q(n) = -5*n**3 - n**2 - 3*n + 29. Let g(o) = -14*o**3 - 3*o**2 - 8*o + 86. Give v*q(m) - 3*g(m). 2*m**3 + m**2 - 26 Let d(o) = 2...
{ "pile_set_name": "DM Mathematics" }
9952 What comes next: -756, -548, -340? -132 What is the next term in -7648, -30891, -69622, -123835, -193524, -278683, -379306, -495387? -626920 What is next in -221, -897, -2031, -3623, -5673, -8181? -11147 What is the next term in -1096, -853, -612, -367, -112, 159? 452 What comes next: -959, -1843, -2703, -3539? -4...
{ "pile_set_name": "DM Mathematics" }
, -29248, -29258? -29268 What comes next: 24, 43, 86, 165, 292, 479, 738, 1081? 1520 What comes next: -989, -1108, -1227, -1346, -1465? -1584 What comes next: -17042, -34051, -51032, -67973, -84862, -101687, -118436, -135097? -151658 What is the next term in -803, 279, 2089, 4633, 7917? 11947 What is next in 3642, 3643...
{ "pile_set_name": "DM Mathematics" }
easing order. n, j, -0.2 Let t = 58/423 + 4/47. Sort 1/6, t, 2, -1/7. -1/7, 1/6, t, 2 Let r(i) = -i - 4. Let q be r(-6). Let j = -3299 + 3298. Put 4, q, j in descending order. 4, q, j Let g = 1642.3 + -1642. Sort g, 1, -15. -15, g, 1 Let v = 1 + 0. Let g be (-31 + 32)*(-12)/(-3). Sort -1, v, 0, g. -1, 0, v, g Let j = 6...
{ "pile_set_name": "DM Mathematics" }
base 11. -32a720 -12225322 (base 6) to base 3 -201221112112 Convert -1022001221221 (base 3) to base 9. -1261857 b7b2 (base 14) to base 16 7be0 Convert -52552522 (base 6) to base 5. -343221403 5824a9 (base 12) to base 3 2122211221010 What is -5a675 (base 11) in base 5? -10243243 89aa (base 14) to base 8 56472 Convert -1...
{ "pile_set_name": "DM Mathematics" }
value? (a) -2/9 (b) 14 (c) -5 (d) -0.5 (e) -706 (f) -0.08 (g) -6 b Which is the sixth biggest value? (a) 0 (b) 2/9 (c) 0.4 (d) -2/13 (e) -4/5 (f) 96.377 e What is the fourth biggest value in 5, 12, -28/3, 11/10? -28/3 Which is the fourth smallest value? (a) -0.37 (b) 3 (c) 2.6 (d) -3 (e) -0.1 c What i...
{ "pile_set_name": "DM Mathematics" }
der when (-126)/(-27)*(-5 - -11) is divided by q? 3 Suppose 9 = 2*m - 5. What is the remainder when 35*((22 + -29)*(-10)/7 + -9) is divided by m? 0 Let k = 68 + -55. Suppose 0 = -13*p + 221 + k. What is the remainder when 123 is divided by p? 15 Let l = -320 + 343. Calculate the remainder when 548 is divided by l. 19 S...
{ "pile_set_name": "DM Mathematics" }
+ 2 - 19*c. What is j(-2)? -4 Suppose -7*u + 99 = 211 - 91. Let l(r) be the first derivative of -4*r**2 + r - 1. What is l(u)? 25 Let q(g) = 2*g + 2. Let f be q(-3). Let j(m) = -m**2 + 2. Let c(o) = 3*o**2 - 2*o**2 - 169 - 163 + 329. Let h(z) = f*j(z) - 3*c(z). Calculate h(-2). 5 Let z(a) = a**3 - 6*a**2 + a - 4. Suppo...
{ "pile_set_name": "DM Mathematics" }
t q = g + v. Is q prime? False Let n be (-685)/(-10) - (-2)/(-4). Is n/8 - 3/(-2) a composite number? True Let g = 87 - -39. Suppose 72 = 3*m - g. Suppose -2*y - y - 29 = -2*c, 0 = 5*c - y - m. Is c a prime number? True Let x = -11 - -13. Suppose x*p - 276 = -2*p. Is p a prime number? False Let k = 7 - 5. Suppose -5*j ...
{ "pile_set_name": "DM Mathematics" }
2*z = 5*z + 49, 4*z = -12. List the prime factors of r(y). 5 Let v(s) = -s**3 + 7*s**2 - 6*s + 3. Let b be v(6). Suppose 0 = 2*o - b*o. Suppose o = 2*x - 6*x + 40. List the prime factors of x. 2, 5 Suppose -2*n = -3*n + 3*t - 3, 17 = 3*n + 4*t. Suppose -68 = -n*i + 22. What are the prime factors of i? 2, 3, 5 Suppose ...
{ "pile_set_name": "DM Mathematics" }
y be 4/2 + (3 - 1). Suppose 0 = -o - 3*l + 13, y*l = l + 9. Calculate the smallest common multiple of o and 11. 44 Let w(p) = p**3 - 13*p**2 + 16*p - 7. Calculate the least common multiple of 5 and w(12). 205 Let k = -3 + 7. Let s = 79 - 75. What is the least common multiple of s and k? 4 Suppose -4*f - 4*g - 139 = g, ...
{ "pile_set_name": "DM Mathematics" }
115, -30889, -32751, -34719? -36811 What is next in 8454, 33673, 75698, 134529, 210166? 302609 What is the next term in 247800, 247743, 247686? 247629 What is next in -17688652, -17688649, -17688646, -17688643? -17688640 What is the next term in -20928, -20465, -20002, -19539, -19076, -18613? -18150 What comes next: 15...
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 77631? 6 What is the tens digit of 1789? 8 What is the units digit of 10149? 9 What is the tens digit of 976? 7 What is the thousands digit of 4526? 4 What is the ten thousands digit of 50866? 5 What is the hundreds digit of 44423? 4 What is the units digit of 8208? 8 What is the thousands digit of...
{ "pile_set_name": "DM Mathematics" }
e 2/4 - 15/(-10). What is the second smallest value in -1/7, -1/8, b, t? -1/8 Let j = 110 + -119. What is the third smallest value in j, 10/3, -0.2? 10/3 Let u = -0.1789 - 0.0211. Let g = -3.3 + 3. Which is the second smallest value? (a) 0.3 (b) u (c) g b Let p = 62 - 432/7. Let u = -182 - -81. Let d = -101.4 - u. W...
{ "pile_set_name": "DM Mathematics" }
g(k) = k**2 + 1. Let t(p) = 12*g(p) + s(p). Let y = -19 - -21. Let b(c) = 4*c - y*c - c. Determine b(t(d)). 2*d**2 Let x(b) = -35 + 35 - b + 0*b. Let r(c) = 42*c + 10. Let t(v) = -14*v - 3. Let m(w) = -6*r(w) - 20*t(w). Calculate x(m(a)). -28*a Let g(v) = -12744*v + 10. Let f(m) = -4*m. Calculate f(g(w)). 50976*w - 40...
{ "pile_set_name": "DM Mathematics" }
ulate s. -3, 0, 1 What is y in -y**2 - 7*y + 30 = 0? -10, 3 Let -3*a**4 + 99*a**3 - 279*a**2 + 273*a - 90 = 0. What is a? 1, 30 Solve 54*r**5/5 + 108*r**4/5 + 72*r**3/5 + 16*r**2/5 = 0. -2/3, 0 Factor 2*a**2 + 2*a - 144. 2*(a - 8)*(a + 9) Factor 4*o**2 + 76*o + 312. 4*(o + 6)*(o + 13) Suppose -3*l**3/4 - 9*l**2 + 81*l/...
{ "pile_set_name": "DM Mathematics" }
548 - 19*r**2 - 548. -19*r**2 Collect the terms in -5*n**2 - 31 + 62 - 31. -5*n**2 Collect the terms in -13987 + 13987 + 9*l**2. 9*l**2 Collect the terms in 1518*l**2 - 2 + 2. 1518*l**2 Collect the terms in -24*o**2 + 2*o**3 + 17*o**2 - 9*o + 9*o. 2*o**3 - 7*o**2 Collect the terms in 4*l**2 - 4*l**2 + 0*l**2 + 50 - 3*...
{ "pile_set_name": "DM Mathematics" }
- 1775 = 3*z, -1207 = 4*x - 5*z - 4762. What is the remainder when x is divided by 28? 27 Let h = 122 + -51. What is the remainder when h is divided by 24? 23 Let c = 20 - -3. Let o(s) = -s**3 - 1. Let m(b) = 7*b**3 - 6*b**2 + b + 18. Let j(q) = -m(q) - 6*o(q). What is the remainder when c is divided by j(5)? 7 Suppose...
{ "pile_set_name": "DM Mathematics" }
5*g + 40 = -l*w. Solve a + c - g = -0*c, 2*a - 4 = c for a. 3 Let w = -309 - -320. Solve 32*r = -o + 35*r - 8, -5*o + w = 2*r for o. 1 Suppose 0 = -2*q + u + 4, -24 = -q - 3*q - 2*u. Solve 8*c - q*c - 22 = 5*s, s = c - 5 for c. 3 Let p(r) = -r**3 + r**2 + 49*r - 46. Let w be p(7). Solve -3*i + 2*a + 6 + w = 0, -2*a - 8...
{ "pile_set_name": "DM Mathematics" }
6 b What is -1 (base 8) in base 2? -1 Convert 13 (base 7) to base 4. 22 Convert -442 (base 7) to base 8. -342 Convert 1 (base 4) to base 14. 1 -d9 (base 14) to base 6 -515 What is -14 (base 16) in base 8? -24 What is 33 (base 4) in base 11? 14 331 (base 6) to base 2 1111111 2 (base 5) to base 8 2 Convert -3 (base 11) t...
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 102 and 7914? 6 What is the greatest common divisor of 331281 and 9? 9 Calculate the highest common factor of 2761 and 1166. 11 Calculate the greatest common factor of 27460 and 60. 20 Calculate the highest common divisor of 4864 and 127072. 608 What is the greatest common factor of 495...
{ "pile_set_name": "DM Mathematics" }
(3). Let o(c) = 129*c - 36. Let f(w) = -59*w + 17. Let k(b) = 13*f(b) + 6*o(b). Let i(h) = -6*h - 4. Give d*k(x) - 5*i(x). 2*x Let l(r) = 3*r - 1. Let v(z) = 7*z - 3. Let n(p) = -43*p. Let d be n(2). Let b = d - -82. Calculate b*v(s) + 10*l(s). 2*s + 2 Let w(v) = 15*v + 117. Let j(g) = -5*g - 41. Let o(h) = 11*j(h) + 4...
{ "pile_set_name": "DM Mathematics" }
t -2*z**3 - 2780*z**2 + 5574*z + 8352 = 0. -1392, -1, 3 Suppose -2*y**2 - 20420*y - 244752 = 0. Calculate y. -10198, -12 Factor -c**3/5 - 83*c**2/5 + 7084*c - 14100. -(c - 150)*(c - 2)*(c + 235)/5 Suppose 2*z**3/7 - 334766*z**2/7 = 0. What is z? 0, 167383 Factor -q**2/4 - 71*q/4 - 165. -(q + 11)*(q + 60)/4 What is s in...
{ "pile_set_name": "DM Mathematics" }
*m to the form w + o*m**2 + q*m and give w. -49 Express 131*k**2 + 220*k**2 + 356*k**2 - 145*k**2 in the form h + u*k + v*k**2 and give v. 562 Rearrange -608*v**2 - 189*v**2 + 191*v**2 + (-2 + v + 2)*(3 - 2*v - 3) to the form s*v + y*v**2 + b and give y. -608 Express -f**3 + 2*f**2 + 654*f + 184623923 - 184623923 as c ...
{ "pile_set_name": "DM Mathematics" }
ond derivative of q**4/12 - 4*q + 4. Determine s(y(r)). r**2 Let z(b) = b. Let c(f) = 22*f**2. Calculate z(c(m)). 22*m**2 Let a be -3 + 5/(60/38). Let o(y) be the second derivative of -a*y**3 + 0 - y + 0*y**2. Let j(k) = -2*k**2. Determine o(j(g)). 2*g**2 Let d(c) = -126*c**2. Let r(i) = 3*i. What is r(d(k))? -378*k**2...
{ "pile_set_name": "DM Mathematics" }
d(i) = 7*i - 4. Suppose 5*r - 32 = 4*k, 5*k - 25*r + 20*r = -35. What is k*d(z) - 5*x(z)? -z + 2 Let h be 3/(-3) + -5 + 4. Let n = h - -3. Let a be n/1 + 112/(-16). Let w(k) = 10*k**2 + 7*k - 7. Let g(d) = -9*d**2 - 6*d + 6. What is a*w(x) - 7*g(x)? 3*x**2 Let n(h) = -47*h**2 + 4. Let l(y) = 5547*y**2 - 473. Let s(i) ...
{ "pile_set_name": "DM Mathematics" }
7 - 47*t**2 + 135*t**2 - 318*t**2 - 17*t**3 + 16*t**3 - 172*t**2 wrt t? -3*t**2 - 804*t Let l(o) be the second derivative of 0*o**3 + 0*o**5 - 29/2*o**2 + 121*o - 1/4*o**4 + 0 - 11/10*o**6. Find the third derivative of l(t) wrt t. -792*t Let v(k) = -2*k + 8. Let y be v(3). Suppose y*u - 3*f = 7, -u + 2*u = 4*f + 6. Wha...
{ "pile_set_name": "DM Mathematics" }
orm j*i + d*i**2 + f*i**3 + h and give d. -2 Express (2*x + 4 - 2 + 1)*(-902*x**2 + 2578*x**2 - 1 - 898*x**2) in the form g + f*x**3 + a*x**2 + p*x and give g. -3 Express (268 + 1255 + 707)*(2*g**3 - 4 + 4) - 2*g**3 - g**3 + 2*g**3 as v*g**3 + x*g + q + z*g**2 and give v. 4459 Rearrange ((26 - 150 + 12)*(-3 + 3 - 2)*(4...
{ "pile_set_name": "DM Mathematics" }
Solve 0 = -f*s - 2 + 6 for s. 2 Let s(j) = -4*j + 16. Let c be s(6). Let i(h) = h + 13. Let k be i(c). Solve -21 + 6 = -k*r for r. 3 Suppose -37*g + 40*g - 35*g = -1088. Solve -32*l = -g*l + 4 for l. 2 Let c = -4657 - -4659. Let p be (-1)/2*(-4 - (9 + -5)). Solve -p = -c*t + 6*t for t. -1 Suppose 0 = -5*d - 4*u + 100, ...
{ "pile_set_name": "DM Mathematics" }
when (-1 + -78 + 1)/h is divided by 10. 9 Let c be 76/(-5)*10/(-4). Suppose 15*j - c = 13*j. What is the remainder when 75 is divided by j? 18 Let l = -339 + 531. Suppose 2*x - r + 70 = l, 5*r - 290 = -5*x. Calculate the remainder when x is divided by 21. 18 Let r(q) = -q**3 - 22*q**2 - q + 26. Calculate the remainder ...
{ "pile_set_name": "DM Mathematics" }
95629312*r/5 - 1311598656/5 = 0. -6036, -1, 1/3, 18 What is s in s**5/6 + 3*s**4/2 + 25*s**3/6 + 9*s**2/2 + 5*s/3 = 0? -5, -2, -1, 0 Suppose z**2/4 - 279*z/4 + 2227/2 = 0. What is z? 17, 262 Factor -s**2 - 7287*s - 7286. -(s + 1)*(s + 7286) Factor -2*m**2/19 + 29380*m/19 - 29378/19. -2*(m - 14689)*(m - 1)/19 Suppose -3...
{ "pile_set_name": "DM Mathematics" }
679 = -24*i - 785. Let k be -50*1*6/(-4). Let m = i + k. Let g(r) = -20*r**3 - 6*r**2 + 14. Calculate m*l(v) - 5*g(v). 2*v**3 + 2*v**2 Let y(t) = 13*t + 7. Let u(g) = -22*g - 11. What is -3*u(q) - 5*y(q)? q - 2 Suppose -4*v - 6*v - 108 = 2*v. Let j(a) be the second derivative of -3*a**4/4 + 3*a**3/2 + 4*a. Let b(k) = -...
{ "pile_set_name": "DM Mathematics" }
the least common multiple of 1815 and 1155? 12705 What is the least common multiple of 2436 and 126? 7308 What is the least common multiple of 25 and 2695? 13475 Calculate the lowest common multiple of 4 and 184. 184 Find the common denominator of -59/114 and -37/2. 114 Calculate the smallest common multiple of 990 an...
{ "pile_set_name": "DM Mathematics" }
) = 2*k**2 + 4*k + 1. Determine m*s(i) + 4*y(i). -2*i**2 - 1 Let p(n) = 12*n + 9. Suppose -8*d - 4 = -4*d. Let g = d + 3. Let v(s) = -3*s - 2. Give g*p(j) + 9*v(j). -3*j Let z(u) = 8*u**2 + 2*u - 6*u - 2*u**3 + 3 - 10*u**2. Let i(k) = -k - k - k + 2*k + 1. Calculate 4*i(s) - z(s). 2*s**3 + 2*s**2 + 1 Let s(n) = 9*n**3 ...
{ "pile_set_name": "DM Mathematics" }
1 f, and 1 t when three letters picked without replacement from mtuuntttfoouutt. 24/455 Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 1, i: 2, r: 2, d: 5, o: 2, k: 1}. 1/39 What is prob of picking 4 p when four letters picked without replacement from pppemppppppppppp? 11/20 ...
{ "pile_set_name": "DM Mathematics" }
98 = -2*x + l. Round x to the nearest one hundred thousand. -1300000 Let b = 30.767 - -3.103. Let z = -33.87002822 + b. What is z rounded to 6 dps? -0.000028 Let t = -17.4091673 + -88445.5878327. Let l = -88499 - t. Let b = l + 36. What is b rounded to 3 decimal places? -0.003 Let p = 573.2 - 642. Let t = 68.79999974 +...
{ "pile_set_name": "DM Mathematics" }
+ z. List the prime factors of w. 7 Let o(l) be the first derivative of -7*l**2 + 667*l - 70. List the prime factors of o(0). 23, 29 Let n(o) = -o**3 + 9*o**2 + 11*o - 8. Let g be n(10). Suppose -5*w - 3*s = 10, 2*s + g = -3*w - 5. List the prime factors of (3 - 18/8)/(w/24). 2, 3 Let x be ((-4)/3)/(2/3). Let a be (1 ...
{ "pile_set_name": "DM Mathematics" }
-5*l = -3*d + 9 for l. -3 Let q = 4 + -2. Let m be ((2 - q)/(-2))/(-1). Let n(v) = -3*v - 1. Let s be n(-2). Solve m = t - 3*t - o + s, 4*o = -2*t + 14 for t. 1 Suppose -3*r - 2*v = 109, 6*v + 113 = -3*r + 2*v. Let l be 5/(-2)*84/r. Solve -3*s - y + l = -6*s, 2*s - 4*y + 4 = 0 for s. -2 Suppose -2*t + t + 1 = 0. Let f...
{ "pile_set_name": "DM Mathematics" }
+ i*k + n + t*k**2 + u*k**3 and give s. -67 Express -5*y**2 - 2*y**2 + 3*y**2 - 20 + 3*y**2 - y**3 in the form n*y**2 + v*y + d*y**3 + m and give n. -1 Rearrange -2*p + 12*p - 25*p**2 - 8*p + 18 to the form u*p**2 + s*p + a and give a. 18 Express (3*x - 1 + 1)*((-2*x - 3*x + 4*x)*(-55*x - 60*x + 105*x) + 0 + 0 - x**2 ...
{ "pile_set_name": "DM Mathematics" }
e -4 - (0/(-3) + 81). Let i = 85 + m. Solve i = -2*h + 4*h for h. 0 Let d be (-55)/110*(0 - 2*5). Suppose 2*m = -3*s + 17 + 24, 5*m = 4*s + 68. Let g be m/d - (-8)/(-40). Solve -12 - 3 = g*q for q. -5 Let g = -6 - -16. Let k = -20 + 10. Let x = g + k. Solve x = -0*t + t + 1 for t. -1 Let d(q) = -q**2 + 34*q - 115. Let ...
{ "pile_set_name": "DM Mathematics" }
w many minutes are there between 10:46 AM and 8:30 PM? 584 What is 660 minutes before 2:50 PM? 3:50 AM How many minutes are there between 1:33 PM and 8:59 PM? 446 What is 597 minutes after 9:00 PM? 6:57 AM What is 341 minutes before 11:59 AM? 6:18 AM What is 130 minutes before 12:36 AM? 10:26 PM What is 456 minutes aft...
{ "pile_set_name": "DM Mathematics" }
ve -2*h + 3*g = 5, f*h = 3*g + 3 + 2 for h. 5 Suppose 0 = z - 11 + 8. Let f = -19 + 35. Let n be f/7 - (-2)/(-7). Solve p - 1 = z*a, 3*p + 10 = -2*a - n*a for p. -2 Let t = -14 - -8. Let n(o) = o**2 + 5*o + 3. Let f be n(t). Solve -2*p - p = 3*z + f, 5*z + 7 = -3*p for p. -4 Suppose -3*q = 5*w - 7*q - 70, -2*w - 2*q + ...
{ "pile_set_name": "DM Mathematics" }
of 1072*s**3*z**2 - 522669*s**3 + 34*s**2*z**3 wrt z. 2144*s**3*z + 102*s**2*z**2 Find the third derivative of -4*o**6 - 2989*o**5 - o**3 + 8*o**2 - 6421 wrt o. -480*o**3 - 179340*o**2 - 6 Differentiate -55481*j*l**3 - 4*j*x + 618930*l**3*x with respect to j. -55481*l**3 - 4*x Find the first derivative of -3194*m**3 - ...
{ "pile_set_name": "DM Mathematics" }
etween 9:54 AM and 7:35 PM? 581 How many minutes are there between 3:53 AM and 6:59 AM? 186 What is 6 minutes after 5:31 AM? 5:37 AM What is 104 minutes after 9:27 AM? 11:11 AM What is 595 minutes after 12:49 AM? 10:44 AM What is 176 minutes after 9:13 AM? 12:09 PM What is 325 minutes before 10:15 AM? 4:50 AM How many ...
{ "pile_set_name": "DM Mathematics" }
95*g Collect the terms in -k**3 - 772482*k - k**2 - 2 + k**2 + 775911*k. -k**3 + 3429*k - 2 Collect the terms in -2596*r**2 - 2622*r**2 + 7763*r**2 - 2534*r**2. 11*r**2 Collect the terms in -26*v**2 + 72*v**2 - 46*v**2 + 2229*v - 823*v + 3*v**3. 3*v**3 + 1406*v Collect the terms in -28*f**3 - 10*f**3 + 69*f**3 - 10*f**...
{ "pile_set_name": "DM Mathematics" }
Suppose 4*g = 5*c - 22751, -g = 4*c + 4*g - s. Is c a composite number? False Let u = -12329 + 23402. Is u*((-33)/9)/(-11) a composite number? False Let f(u) = -u**2 - 4*u + 2. Let g be f(-3). Let r be (17/(-5))/((-1)/g). Let d(n) = 3*n**2 - 37*n + 13. Is d(r) a prime number? True Let m be 2/(-3) - (-80)/(-6). Let o(j...
{ "pile_set_name": "DM Mathematics" }
s of (1062 - -39) + 0 + -5. 2, 137 Suppose 0 = -3*d + 8 + 4. Suppose 0 = 4*k + 3*w - 5*w - 154, -89 = -2*k - 3*w. Suppose d*q - 124 + k = 0. List the prime factors of q. 3, 7 Let m = -68 - -68. Suppose -13*t + 637 = -m*t. List the prime factors of t. 7 Let h = 247 + 254. What are the prime factors of h? 3, 167 Suppose ...
{ "pile_set_name": "DM Mathematics" }
q rounded to the nearest integer? -22 Let n = 5397.98641 + -5398. Round n to 3 decimal places. -0.014 Let j = 4073836.982 + -4069140. Let a = j + -4560.5. Let i = a + -137. Round i to 2 dps. -0.52 Let s = 32.87352 - 35.7495. Let p = s - -2.937. What is p rounded to two dps? 0.06 Suppose -28240564 + 404584 = -138*n. Wh...
{ "pile_set_name": "DM Mathematics" }
mon denominator of w and 10/(-24)*(19 + 25). 12 Suppose -2*f - 3*d = 5403, 0 = -4*f - 5*d - 6573 - 4238. Find the common denominator of (f/70)/9 + 1 and 29/23. 230 Let h be -4*(9/(-3))/3 - 13. What is the common denominator of -93/28 and ((-55)/h)/(180/135)? 84 Suppose -11*d + 0 = -0. Suppose -4*y = 3*i + 213, 0 = -y -...
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 432 and 9. 432 Calculate the least common multiple of 48 and 20. 240 Calculate the smallest common multiple of 25 and 4975. 4975 Calculate the common denominator of -47/57 and -93/190. 570 Find the common denominator of 24/25 and -57/55. 275 Calculate the common denominator of 53/738 and -11/16. 5904 ...
{ "pile_set_name": "DM Mathematics" }
) = -r**2. Calculate s(h(b)). -3*b**2 Let g(s) = 2*s - 36. Let m(l) = 2*l**2. Give m(g(h)). 8*h**2 - 288*h + 2592 Let o(w) = 3*w. Let h(y) be the second derivative of -5*y**4/12 - 6*y. Give h(o(g)). -45*g**2 Let v(h) be the second derivative of h + 0 + 0*h**2 + 0*h**3 + 5/12*h**4. Let o(g) = -2*g. What is v(o(i))? 20*i...
{ "pile_set_name": "DM Mathematics" }
months? 51000 How many kilometers are there in 457.3206 millimeters? 0.0004573206 Convert 80493.86ml to litres. 80.49386 How many milliseconds are there in three eighths of a second? 375 How many milliseconds are there in 59742.65 minutes? 3584559000 How many months are there in 11/4 of a millennium? 33000 How many cen...
{ "pile_set_name": "DM Mathematics" }
-3*v, -v - 2*v = 3*n - d for n. 1 Let n(u) = -53*u - 308. Let h(s) = 54*s + 308. Let p(q) = -2*h(q) - 3*n(q). Let i be p(-6). Solve -g - 8 = -4*a, -4*a = -i*a + 5*g - 26 for a. 3 Suppose 381*j = -22*j + 2015. Solve 20 = 5*u + j*g, -3*g = -2 - 1 for u. 3 Suppose 4*h = -5*o, h - 3*h - 3*o = 2. Let r be (-12)/(-54) - 852/...
{ "pile_set_name": "DM Mathematics" }
45 How many minutes are there between 2:05 PM and 6:30 PM? 265 What is 675 minutes before 1:12 PM? 1:57 AM What is 609 minutes after 2:30 PM? 12:39 AM What is 665 minutes before 12:45 AM? 1:40 PM What is 538 minutes before 2:55 PM? 5:57 AM What is 646 minutes after 5:57 PM? 4:43 AM What is 344 minutes before 9:59 AM? 4...
{ "pile_set_name": "DM Mathematics" }
tiple of 17 and a? 34 Let v(t) = -t**2 - 6*t + 7. Let l be v(-7). Let s = 7 + l. Suppose 0*y + 4 = y. Calculate the smallest common multiple of y and s. 28 Let w = -93 - -142. Calculate the common denominator of -45/4 and w. 4 Suppose 0 = -5*d - 3 - 22. Let m be 2/(-10) + 29/d. Let u = m - -9. What is the least common ...
{ "pile_set_name": "DM Mathematics" }
63? 1.9737 What is 0.13 + -34.5? -34.37 What is 6628 minus -0.419? 6628.419 Add -6656 and -114. -6770 What is -0.692 minus 1? -1.692 Calculate -4 - -51060.3. 51056.3 0.1464 - 0.205 -0.0586 Work out -0.13 - 431.02. -431.15 Total of 398389 and -1.8. 398387.2 Work out -0.3 - 142270. -142270.3 What is the distance between ...
{ "pile_set_name": "DM Mathematics" }
- 4*c**b + 7*c**4 - 15*c**3 + 6*c**2 - c**4 = 0. -1, 1, 2 Factor 1/2*l**3 - 1 + l**2 - 1/2*l. (l - 1)*(l + 1)*(l + 2)/2 Let t(g) = 3*g**3 - 4*g**2 - 5*g - 4. Let m(x) = x**3 - x**2 - x - 1. Let a(j) = 4*m(j) - t(j). Let b(p) = -p**2. Let w(z) = -a(z) + 2*b(z). Factor w(y). -y*(y + 1)**2 Factor -18*p**2 + 540*p**3 + 16...
{ "pile_set_name": "DM Mathematics" }
*c - 3*q - 144 = p. What is the units digit of c? 3 Let y(u) = -u**3 + 18*u**2 - 23*u + 15. Let z be y(11). Suppose 7*i - 203 = z. What is the hundreds digit of i? 1 Let w(v) = -7*v**2 - 6*v**2 + 8*v**2 - 11*v**2 - 34*v + 17 + 14*v**2. What is the units digit of w(-14)? 1 Suppose 15*c - 140107 = 422033. What is the hun...
{ "pile_set_name": "DM Mathematics" }
out 3.34 * 34721. 115968.14 Product of -14.826 and -65. 963.69 Multiply -34840.4441 and -0.4. 13936.17764 Product of 0.88 and 1029620. 906065.6 205007*22 4510154 What is the product of 3063.78 and 214? 655648.92 Multiply -1962 and 2741. -5377842 Product of 210421.9 and -1.23. -258818.937 Calculate -19.302823*-0.1. 1.93...
{ "pile_set_name": "DM Mathematics" }
Round q to the nearest 1000. 76000 Let f be (-1170032)/(-6) - 50/(-75). Suppose -f = -u + 2*m, 3*u + 2*m = 5*m + 585009. What is u rounded to the nearest ten thousand? 200000 Let j = 44 - 42. Suppose 0 = -3*o - 2*x + 72 + 103, 2*x + j = 0. Suppose t - 60 = 4*f, o = 3*t - 5*f - 93. What is t rounded to the nearest ten? ...
{ "pile_set_name": "DM Mathematics" }
Is 157 at most as big as 965? True Are -1/3 and -619/163 equal? False Which is smaller: -74/5633 or 0? -74/5633 Which is smaller: -2153 or 58? -2153 Are -995301 and 2/3 equal? False Is -4040300 at most -4040302? False Is -29240 <= -29240? True Which is greater: -1/1346021 or 1? 1 Which is bigger: -1626 or 1/27? 1/27 Wh...
{ "pile_set_name": "DM Mathematics" }
- 2. Let m be t(5). Let f = m - 74. Solve -f*r + 17 = 5 for r. 3 Suppose -3*h - h + 20 = 0. Let p be (h/(-15))/(2/(-108)). Let s = p + -14. Solve -2*i - s = 2 for i. -3 Let a be (-8)/36 - (-685)/45. Solve -4*d + 3 - a = 0 for d. -3 Let o(k) = 6*k + 3. Let d be o(3). Let f = d + -19. Solve 4 = -2*s - f for s. -3 Let s =...
{ "pile_set_name": "DM Mathematics" }
311. What is the highest common divisor of l and m? 1 Let v(w) be the first derivative of -w**3/3 + 33*w**2/2 - 63*w - 191. Let i be v(26). Calculate the highest common divisor of i and 21. 7 Let v(m) = 54*m - 1730. Let w be v(33). What is the greatest common factor of 6 and w? 2 Suppose -3*b = 22 - 127. Suppose -k + 1...
{ "pile_set_name": "DM Mathematics" }
between 7:48 AM and 1:55 PM? 367 How many minutes are there between 2:24 AM and 11:54 AM? 570 What is 618 minutes before 12:56 PM? 2:38 AM What is 291 minutes before 8:38 PM? 3:47 PM What is 191 minutes before 5:18 PM? 2:07 PM How many minutes are there between 7:52 PM and 2:36 AM? 404 How many minutes are there betwee...
{ "pile_set_name": "DM Mathematics" }
5*x = g*x. What is x rounded to six decimal places? 0 Suppose -1222829 = 18*o + 292771. What is o rounded to the nearest 10000? -80000 Let c = -0.39 - -3.89. Let j = c - 3.4999915. What is j rounded to 6 decimal places? 0.000009 Let c = -56031 + 84197. Let q = 28164.4591 - c. Let w = 1.55 + q. Round w to 3 dps. 0.009 ...
{ "pile_set_name": "DM Mathematics" }
*y**5 + 6*y**2 - 5/6*y**3 - 5/24*y**4 + 0*y. Give l(5). -5 Let p(y) = y**2 - y. Suppose 3*o + 0 = 3*j + 12, 0 = -3*o + 12. Let d = -2 - j. Let i be 5/d - 1/(-2). Determine p(i). 6 Let h(d) = -d**2 - 4*d. Let k be h(-5). Let a(r) = -r**2 - 9*r - 5. Give a(k). 15 Suppose 0 + 16 = 4*t. Suppose -x = 3, -t*x - 20 = l - 3*l....
{ "pile_set_name": "DM Mathematics" }
multiple of 504 and 560? 5040 Calculate the lowest common multiple of 100 and 40. 200 Calculate the common denominator of 40/3 and -4/2247. 2247 What is the common denominator of 31/156 and 77/48? 624 What is the lowest common multiple of 748 and 272? 2992 What is the least common multiple of 453 and 102? 15402 What i...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 97*y**2 + 88*y**2 + 102*y**2 - 248*y**2. 39*y**2 Collect the terms in -334 - 333 + 667 - 5*h. -5*h Collect the terms in -56*v**2 - 39*v**2 + 16*v**2. -79*v**2 Collect the terms in 18*b + 18*b - 50*b + 18*b. 4*b Collect the terms in -73*i**3 + 24*i**3 + 23*i**3 + 27*i**3. i**3 Collect the terms in -...
{ "pile_set_name": "DM Mathematics" }
3 + 2*f**2 + f - 26. Calculate w(4). 1 Suppose 0 = 5*x + 5*f + 5, -x + 2*x - 5*f = -1. Suppose 0 = -2*p + 5*p - 6. Let i(o) = -1 + 3*o + 0*o + p*o + 0*o. Calculate i(x). -6 Let y(x) = -11*x**2 - 13*x - 29. Let v(i) = -5*i**2 - 6*i - 14. Let h(m) = -13*v(m) + 6*y(m). Calculate h(0). 8 Let l(d) = d**3 + 6*d**2 + 6*d + 4....
{ "pile_set_name": "DM Mathematics" }
= -733/3 + 240. Let j = h + c. What is the second biggest value in 4, j, 2? 2 Let s = 186 - 180. Let i be (0/(-2) - -1) + -46. Let u be (-9)/s*12/i. What is the second biggest value in -4, u, -0.2? -0.2 Suppose -18 = -5*m + 12. Suppose -7*r - m = -r. Let l = -3 - -4. Which is the second smallest value? (a) r (b) l ...
{ "pile_set_name": "DM Mathematics" }
years are there in twenty-nine halves of a century? 1450 What is nine tenths of a millimeter in micrometers? 900 What is 402.7257 litres in millilitres? 402725.7 What is 0.2582914 kilometers in meters? 258.2914 What is 12/25 of a kilometer in meters? 480 What is thirteen fifths of a century in decades? 26 What is 74261...
{ "pile_set_name": "DM Mathematics" }
is the closest to 0.155 in -0.1, -3/8, -3/4, 3, -4? -0.1 What is the nearest to 2/13 in 1/8, 0.03, 0.06, -0.3, -7/4? 1/8 What is the closest to -2 in 0.1, -2/15, 0, 29.8, 7/19? -2/15 What is the nearest to -2 in 0.04, 21/10, 0.1? 0.04 What is the closest to 8 in -1/2, -0.3, 1/3, 10, -0.6? 10 Which is the closest to -1...
{ "pile_set_name": "DM Mathematics" }
-546*sqrt(19) + 4599 Simplify ((3*sqrt(77)*-1)/sqrt(11) + sqrt(567)*-2 + (sqrt(70) - (-1*sqrt(70) - sqrt(70)))/sqrt(10))**2. 2268 Simplify -2*sqrt(17) + -5 + 5*(sqrt(17) + 1). 3*sqrt(17) Simplify (0 + sqrt(252))*-1. -6*sqrt(7) Simplify -2 + sqrt(272)*-3 + -2. -12*sqrt(17) - 4 Simplify sqrt(5) + sqrt(45) + 0 + 5. 5 + 4*...
{ "pile_set_name": "DM Mathematics" }
12 - 2 = j, -3*j - l + 23 = 0. Suppose 0*w - w = -j. Is 11 a factor of d(w)? True Let p = -13 + 8. Let i be (-2)/p + 92/20. Suppose 0 = 3*u - 2*u - i. Does 3 divide u? False Suppose c = -3*c - 280. Let h = -50 - c. Suppose -2*p - h = -7*p. Is p even? True Let f(l) = 12*l - 1 + 20*l - 3*l - 2*l. Let o be f(-1). Let z =...
{ "pile_set_name": "DM Mathematics" }
458/65) Simplify ((q**(1/20)*q*q**18)/((q/((q*q**(-7/8))/q))/(q*q/(q*q**(-1/2)))))**8 assuming q is positive. q**(747/5) Simplify p*p*p**(-21/2)*p*p/((p*p*(p**(-1/83)*p)/p)/p)*p*(p*p**(2/29))/(p*p*p/(p*p**(-25/4))*p) assuming p is positive. p**(-141233/9628) Simplify ((h/(h*h/h**(-1)))/h*h*h/(h/((((h**(4/3)*h)/h*h)/h)/...
{ "pile_set_name": "DM Mathematics" }
275305)**2 Factor 3*m**2 + 1167846*m. 3*m*(m + 389282) What is f in f**5/3 + 233*f**4/3 + 4781*f**3 + 259075*f**2/3 - 273652*f/3 = 0? -148, -43, 0, 1 Let 2*n**4/11 + 56*n**3/11 + 514*n**2/11 + 1756*n/11 + 1872/11 = 0. What is n? -13, -9, -4, -2 Factor 4*g**2 - 384924*g - 2694664. 4*(g - 96238)*(g + 7) Determine x, give...
{ "pile_set_name": "DM Mathematics" }
a microgram? 5800 How many micrometers are there in 22.66756 meters? 22667560 What is 3/40 of a milligram in micrograms? 75 What is 15/4 of a gram in milligrams? 3750 Convert 1.0562 nanograms to kilograms. 0.0000000000010562 How many millilitres are there in 0.9586547 litres? 958.6547 How many microseconds are there in...
{ "pile_set_name": "DM Mathematics" }
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3. -891 + 180*sqrt(2) Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)). 3*sqrt(19) + 1557 Simplify 1*(-1 + 3*sqrt(176))**2. -24*sqrt(11) + 1585 Simplify sqrt(26)/sqrt(50)*2. 2*sqrt(13)/5 Simplify (-2*(0 + sqrt(252)))**2. 1008 Simplify (sqrt(304) + 5 - sqrt(190)/sqrt...
{ "pile_set_name": "DM Mathematics" }
rt(2) + ((sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) - ((sqrt(162)*1 - sqrt(162)) + sqrt(162))))))/sqrt(9) + sqrt(18))**2. sqrt(2) + 73 Simplify ((sqrt(4900)*-1 + sqrt(4900))/sqrt(7))**2. 0 Simplify 1 + sqrt(15)/sqrt(5) - (sqrt(3) + (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + 1 - sqrt(363))) - sqrt(3)). 2 +...
{ "pile_set_name": "DM Mathematics" }
y = 5.8 + -30.8. Let h = 25.1 + y. Which is the nearest to 6? (a) -3 (b) -0.3 (c) h c Let n = 0.28 + 0.02. Let u = -82/5 - -169/10. What is the nearest to u in 2/13, 2/3, n? 2/3 Suppose -8*h = -111 - 33. What is the closest to h in -3, -5, 0.4? 0.4 Suppose -5*w = -3*q - 2, 4*w = -q - 51 + 39. What is the nearest to ...
{ "pile_set_name": "DM Mathematics" }
3/136 Two letters picked without replacement from cpcfpkcppphcfppppp. What is prob of picking 1 f and 1 p? 20/153 Two letters picked without replacement from nqnffdo. Give prob of picking 1 n and 1 d. 2/21 Three letters picked without replacement from uppuwppuuuuwwppuup. Give prob of picking 1 p and 2 u. 49/204 What i...
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 16, -1/6, q, -3 Suppose -4 = -2*h + 2*y - 3*y, 0 = 5*h - 3*y - 32. Suppose -t - 15 = -5*c, t - h*c = -12 + 1. Let v = 0 + -4. Put t, v, 2 in ascending order. v, 2, t Let y = 2 - 1. Let z be y/(-1*2 + -3). Let c = -0.5 + 3.5. Put -0.3, z, c in increasing order. -0.3, z, c Suppose -3*p = -2*h + 23, -...
{ "pile_set_name": "DM Mathematics" }
actor of (-21)/((-21)/u - -2)? True Suppose -717 = -3*l + 84. Suppose -3*f - 36 = -l. Is f a multiple of 23? False Let r = 42 + 94. Suppose -4*w + 281 = -p, -p + 66 + r = 3*w. Does 21 divide w? False Let u(x) be the first derivative of x**4/4 - 2*x**3 - 4*x**2 + 9*x + 1. Suppose 0*b - 2*b = -14. Does 2 divide u(b)? Tru...
{ "pile_set_name": "DM Mathematics" }
+ 2*p = -0*q - 42 for q. 10 Solve -3*c + 0*z - 12 = -3*z, 0 = 2*c - 5*z + 14 for c. -2 Solve 2*s - 2*m - 9 + 1 = 0, -5*m + 52 = 3*s for s. 9 Solve 22 = -5*d - 3*y, -2*y - 20 = 3*y for d. -2 Solve 30 = 5*d - 2*v, 0 = 4*v - 1 + 21 for d. 4 Solve 5*m - 4*n = 15, 0 = -m + 4*n + 14 + 5 for m. -1 Solve 6 = -3*s, 22*b + 4*s +...
{ "pile_set_name": "DM Mathematics" }
t is the first derivative of p(d) wrt d? -580*d**3 Let w(p) = -206*p - 201. Let u(s) = -208*s - 201. Let i(j) = -3*u(j) + 4*w(j). Find the first derivative of i(k) wrt k. -200 Let w(t) be the first derivative of 51*t**5/5 - 320*t**3/3 + 387. Find the third derivative of w(d) wrt d. 1224*d Suppose 15 + 15 = 6*z. Find th...
{ "pile_set_name": "DM Mathematics" }
= m + 3*u, 2*m + u = 0. Suppose -b - v + 15 = 4*v, -b + 2*v = -1. Suppose 7 = b*o - 18. Solve o*z + 10 = -2*l + l, 0 = -m*l - 5*z - 10 for l. 0 Suppose 2*k = 6*k - 32. Let w be 36/k + (-9)/6. Solve -3*m + 3*n + 2*n - 11 = 0, -13 = -w*m - n for m. 3 Let m be (-3 + 0 + 3)/3. Suppose -4*r - 12 + m = 0. Let q(h) = -9*h. Le...
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) 2 (b) 5 (c) u a Let v = 414.7 + -415. What is the second smallest value in -2/15, v, -0.37? v Let g(s) = -41*s - 77. Let y be g(-2). Which is the smallest value? (a) y (b) -11 (c) 0 b Let p = 82 - 1556/19. Which is the biggest value? (a) 0.5 (b) p (c) 1.9 c Let k = 7718/27 + -286. L...
{ "pile_set_name": "DM Mathematics" }
f 1694 to the nearest integer? 41 What is the square root of 1273 to the nearest integer? 36 What is the cube root of 21074 to the nearest integer? 28 What is the cube root of 3302 to the nearest integer? 15 What is 265 to the power of 1/3, to the nearest integer? 6 What is the third root of 6196 to the nearest integer...
{ "pile_set_name": "DM Mathematics" }
= -21/43 + b. Suppose 0*t + 4*t - 196 = 3*u, 0 = 2*u. What is the common denominator of t and a? 4 Calculate the common denominator of 53/22 and 37/6 - (9 + -7). 66 What is the common denominator of 9425/(-234) - (-4)/(-18) and -89/2? 2 Let i = 10 + -8. Let z = 4221/1648 - -13/103. Find the common denominator of (-69)...
{ "pile_set_name": "DM Mathematics" }
lculate 132/1155*7*15/(-12)*62. -62 (1552/291)/((-7)/((-1155)/176)) 5 What is the value of (-668)/(-32064)*(-24)/6? -1/12 (-52)/3*(2*5)/(2640/(-990)) 65 (((-1)/2)/(12/3))/98*-4 1/196 What is the value of 17*(3618/(-162))/67? -17/3 (92/(-161))/((-1224)/51) 1/42 2/((3312/(-1265))/(-72)) 55 4*-108*30/(-1440) 9 Calculate 4...
{ "pile_set_name": "DM Mathematics" }
29) Simplify (((k/(k/k**(-3/5)))/k*k)/k)/k*k**9 assuming k is positive. k**(32/5) Simplify a/(a*a**18)*a**(4/15) assuming a is positive. a**(-266/15) Simplify m**(-3)/(m/(m*m/m**(-11)*m*m)) assuming m is positive. m**11 Simplify (s*s*s*(s/s**(2/15)*s)/s*s)/s**(4/3)*(s**8/s)/s*s*s*s**(1/3) assuming s is positive. s**(17...
{ "pile_set_name": "DM Mathematics" }
- 684. What is the tens digit of x? 6 Let n(d) = d**3 - 2*d**2 - 2. Let l be n(3). Let s = 12 - l. Let f = s + -3. What is the units digit of f? 2 Let h = 4 + -6. Suppose 2*r - 17 = w, -2*w - 4*r = 2 - 0. Let a = h - w. What is the units digit of a? 7 Let y(d) = d**3 + 14*d**2 + 13*d + 7. Let r be y(-13). Let i(o) = 2...
{ "pile_set_name": "DM Mathematics" }
**2 - 2*v. Let d be t(-2). What are the prime factors of d/(-5)*(1000/15)/2? 2, 5 Let t = 8 + -11. Let b = -1 - t. What are the prime factors of (-806)/(-18) - b/(-9)? 3, 5 Let l be (70/(-8))/(3/12). Let u = l + 88. What are the prime factors of u? 53 Let q(l) be the third derivative of l**6/60 - l**5/12 - 5*l**4/24 - ...
{ "pile_set_name": "DM Mathematics" }
Let w = t - 20237144. Let g = w + -14. Round g to five dps. -0.00006 Let h = 0.0795 + -0.062. What is h rounded to 3 dps? 0.018 Suppose 8*d = 6*d + 25200000. Round d to the nearest 1000000. 13000000 Suppose z + 125 = -4*z. Let g be (-15)/z + (-794)/(-10). What is g rounded to the nearest 100? 100 Let m = 104 - 153. Let...
{ "pile_set_name": "DM Mathematics" }
0). Let j(p) be the first derivative of 41 + x*p**2 + 0*p. Let b(y) = -35*y. Determine b(j(c)). -35*c Let p(a) = -1696276*a**2. Let u(v) = 5*v**2. Calculate u(p(k)). 14386761340880*k**4 Let h(c) = -2070762*c + 12830. Let o(n) = -1291*n + 8. Let v(t) = -4*h(t) + 6415*o(t). Let w(f) = -10*f. What is w(v(y))? -12830*y Let...
{ "pile_set_name": "DM Mathematics" }
s + 7*s + 6*s. Let c(p) = -p + 1602. Determine n(c(b)). -b + 1602 Let d(q) be the second derivative of 2*q**3/3 - 5*q**2 + 121*q. Let i(o) = -o + 3. Let v(t) = 6*d(t) + 20*i(t). Let m(h) = -4*h**2. Calculate v(m(n)). -16*n**2 Let t(f) = -9*f - 38. Let r = 43 + -49. Let n be t(r). Let s(a) = n*a**2 - 5*a**2 - 4*a**2 - 5...
{ "pile_set_name": "DM Mathematics" }
1) Let n = -11/3965 + 63561/43615. Factor 0 + 2/11*i**2 - n*i. 2*i*(i - 8)/11 Let c(t) be the second derivative of t**4/3 - 16*t**3 + 280*t**2 + 119*t - 3. Factor c(y). 4*(y - 14)*(y - 10) Factor -245/2*q + 1830 - 5/2*q**2. -5*(q - 12)*(q + 61)/2 Let a(u) be the third derivative of 1/66*u**4 + 1/33*u**3 + 0*u + 1/330*...
{ "pile_set_name": "DM Mathematics" }
/7*a**4 + 0*a + 2/7*a**5 + 0 + k*a**3. 2*a**2*(a + 1)**3/7 Let y = 103222/3 + -34406. Solve y - 1/3*j**2 - j = 0. -4, 1 Factor 2/13*d**2 - 222/13*d - 2420/13. 2*(d - 121)*(d + 10)/13 Let d(t) = 610*t + 7320. Let m be d(-12). Factor 3/5*c**4 + 48/5*c**2 - 24/5*c**3 + m*c + 0. 3*c**2*(c - 4)**2/5 Let g(v) be the second d...
{ "pile_set_name": "DM Mathematics" }
2 + v**2 - 2) + 1 - 1 + v**2)*(-9 - 27 - 7) as f + i*v + a*v**2 and give a. -172 Rearrange 9*o - 4*o + 11*o to r*o + x and give r. 16 Express g**4 - g**4 + 4*g**4 + (3 - g**2 - 3)*(0*g - g**2 + 0*g) + (-2 + 4 - 3)*(-2*g**4 + 2*g**4 - 2*g**4) as w*g + d + b*g**4 + h*g**2 + a*g**3 and give b. 7 Rearrange 8*r**3 + 8*r**3 ...
{ "pile_set_name": "DM Mathematics" }