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*k*k)/k assuming k is positive. k**(287/16) Simplify (y*(y/(y*y**3))/y)/((y**5/y)/y)*(y*y**0)**(7/6) assuming y is positive. y**(-29/6) Simplify (p**(-5))**(-5/14) assuming p is positive. p**(25/14) Simplify a**(2/89)/((a**(-2/17)/a)/a) assuming a is positive. a**(3238/1513) Simplify (j**(-8))**(-1/4) assuming j is pos...
{ "pile_set_name": "DM Mathematics" }
ded by 8 15 Calculate -12 divided by -4. 3 Calculate 29 divided by -137. -29/137 What is -1181 divided by 4? -1181/4 -8898 divided by -6 1483 Divide 3 by 6432. 1/2144 Calculate 1197 divided by -6. -399/2 Calculate -1174 divided by -6. 587/3 What is 2023 divided by 1? 2023 Divide -700 by -4. 175 Calculate 69 divided by ...
{ "pile_set_name": "DM Mathematics" }
2. Let m(k) = k**3 + k**2 + k. Let x(s) = -8*m(s) - t(s). List the prime factors of x(b). 2, 43 Suppose 5*u - 5*l - 30 = 0, -4*u + 2*l - 4*l + 18 = 0. Suppose 92*b - 6 = 89*b. Suppose u*w + 31 = t, 17 = b*t + 5*w - 0. What are the prime factors of t? 2 Let h(g) = g**3 - 4*g**2 + 11. Let m(n) = -n**2 - 9*n + 6. Let v(d)...
{ "pile_set_name": "DM Mathematics" }
+ 22.6207. Let i = -0.012 - -20.012. Let m = p - i. Round m to 2 dps. 0.1 Let q = -2194.759222 + 2192.782. Let f = -1.979 - q. What is f rounded to 4 decimal places? -0.0018 Let i = -46.8 - -46.8204. Let x = i + -0.020401244. What is x rounded to 7 decimal places? -0.0000012 Let d = 0.0263 + 51.3737. Let c = d + -51.3...
{ "pile_set_name": "DM Mathematics" }
-3 Let o(r) = -2*r + 20. Let p be o(8). Solve i + 15 = 3*n + p, n = -5*i - 23 for n. 2 Suppose 25 = 4*l + l. Suppose -5*t + 0*t = -20. Suppose -x + 2 + 1 = -l*b, -b + 33 = t*x. Solve -2*y - x = -2*h, -3*h + 5 = 3*y - 13 for h. 5 Let f = 16 - 10. Suppose 0 = f*v - v + 40. Let i = 12 + v. Solve -t = 4, -5*u + 43 - 7 = -...
{ "pile_set_name": "DM Mathematics" }
ow many minutes are there between 12:03 AM and 5:30 AM? 327 What is 295 minutes before 12:03 AM? 7:08 PM What is 305 minutes before 3:00 AM? 9:55 PM What is 463 minutes before 2:19 AM? 6:36 PM How many minutes are there between 7:11 PM and 5:54 AM? 643 What is 667 minutes after 5:07 AM? 4:14 PM What is 595 minutes afte...
{ "pile_set_name": "DM Mathematics" }
+ 17*j*o*w - 7*w wrt o? 222*j**2*o - j**2 + 17*j*w Differentiate 7*n*t**3*u**3 - 29*n*t*u**3 + 286*t**3*u**3 wrt n. 7*t**3*u**3 - 29*t*u**3 Find the second derivative of -2*f**2*s**2 - f**2*s + 3*f*s**2 - 251*f*s + 166*s**2 + 2 wrt s. -4*f**2 + 6*f + 332 Find the second derivative of -52*g**3*o + g**2*o**2 + g*o**2 + 2...
{ "pile_set_name": "DM Mathematics" }
34*l What is the derivative of 272*u*v**4 - 5*u*v**2 + 4*u*v - 4998*u wrt v? 1088*u*v**3 - 10*u*v + 4*u What is the third derivative of -o**2*s**3 - 3*o**2*s**2 + o*p**2 + 4*o*p*s**3 + 117*p**2*s**3 + p**2*s + 5*p*s**2 wrt s? -6*o**2 + 24*o*p + 702*p**2 What is the second derivative of 171*w**5 - w**4 - w - 219 wrt w? ...
{ "pile_set_name": "DM Mathematics" }
/9 Let z(a) = 4*a**2 - 89*a + 15. Let l be z(22). Let k be 6/l*(-27)/(1053/182). Factor 0 + 0*b + 25/9*b**2 + 1/9*b**k - 10/9*b**3. b**2*(b - 5)**2/9 Let k = -355 + 360. Suppose 3*a = -a + 80. Suppose -a + k*f**2 - 5*f + 0*f - 20*f - 10*f**2 = 0. Calculate f. -4, -1 Factor -2/7*o + 2*o**2 + 2/7*o**3 - 2. 2*(o - 1)*(o +...
{ "pile_set_name": "DM Mathematics" }
+ 142848/13 = 0. -124, -24, -1/3, 1 Factor -8*p**2 + 10090*p + 7572. -2*(p - 1262)*(4*p + 3) Determine k so that -2*k**4/15 + 1588*k**3/15 + 73574*k**2/15 + 142376*k/15 + 23464/5 = 0. -42, -1, 838 Find z such that -4*z**2/3 - 7368*z - 22092 = 0. -5523, -3 Factor 2*t**2 + 393612*t + 19366300818. 2*(t + 98403)**2 Factor ...
{ "pile_set_name": "DM Mathematics" }
4 - 15). -32*j Expand 3*d**2 + d**5 - 3*d**2 + (-4*d**4 + d**4 + 5*d**4)*(-4*d - d + 3*d) - 4*d + 4*d**5 + 4*d + 2*d**5 - d**5 + 0*d**5. 2*d**5 Expand i**2 + 0*i**2 + 2*i**3 - 3*i**2 + (2*i + i**2 - 2*i)*(-i + 4*i - 2*i). 3*i**3 - 2*i**2 Expand (7 + 5 - 2)*(y + y**2 - y). 10*y**2 Expand (-p**2 - p**2 + p**2)*(14*p - p...
{ "pile_set_name": "DM Mathematics" }
96. List the prime factors of s. 2, 131 Let w be -3 - 0 - (-21)/(-3). List the prime factors of ((-40)/(-25))/((-1)/w). 2 Let v = -18 - -36. Suppose 0 = -5*c + u + 3 - v, -4*c = -2*u + 6. List the prime factors of 4/(-6)*(1 + c). 2 Let h be -5*3*(6 - 3). Let r = -23 - h. What are the prime factors of r? 2, 11 Suppose 0...
{ "pile_set_name": "DM Mathematics" }
= o - 105. Let t be x(b). What is t rounded to the nearest one million? -2000000 Let g = -0.4762284 + 0.51802. Let t = 0.0416 - g. Round t to five decimal places. -0.00019 Suppose -97*u = -143*u - 82340000. Round u to the nearest one million. -2000000 Let r = 2.274 - 2.17544. What is r rounded to two dps? 0.1 Let g = ...
{ "pile_set_name": "DM Mathematics" }
- 5*x + 1. Calculate the remainder when 18 is divided by m(h). 4 Let k = 36 + -24. Suppose -5*a + 3*a = 3*t - 150, -148 = -2*a - 4*t. Suppose 8 = -2*w + a. Calculate the remainder when w is divided by k. 11 Let n be 2 + (1 - 1) - 7. Let j(y) = -2*y + 2. What is the remainder when (-52)/(-6)*(n - -8) is divided by j(-6)...
{ "pile_set_name": "DM Mathematics" }
1. Solve -n*q + o = -3 for q. 4 Let g(v) = -v**2 - 24*v - 23. Let d be g(-23). Solve d = -6*i - 12 - 6 for i. -3 Let n be (-8)/(-36) + 274/(-18). Let f = 22 + -21. Let y be n/(-3) - 2 - f. Solve -y*z + 0 - 4 = 0 for z. -2 Let j(a) = -14*a + 8. Let x be j(0). Solve -5*c = -x + 28 for c. -4 Suppose -5*m + 5*u + 15 = 0, 7...
{ "pile_set_name": "DM Mathematics" }
- 13, 2*r - 20 = -p - 27 for r. -4 Solve 5*i + 5*k = 5, 10*i = 7*i + 5*k - 5 for i. 0 Solve -3*j + 1 = -2*b, -25 = 9*b - 63*j + 70*j for b. -2 Solve -4*p - 34*z = -33*z + 51, -p - 8*z = -26 for p. -14 Solve 4*l = -j + 445 - 432, -3*l + 50 = -5*j for l. 5 Solve -44 = -11*u, u + u - 9 = -d - u for d. -3 Solve 5*u + 61*x...
{ "pile_set_name": "DM Mathematics" }
sqrt(119) - ((sqrt(119) - (sqrt(119) + (sqrt(119) - (2*(-2*sqrt(119) - sqrt(119)) + sqrt(119))))) + sqrt(119)))/((sqrt(21)/sqrt(3) + sqrt(7))*-6). -sqrt(17)/2 Simplify -1 + (sqrt(3)*-3 - sqrt(3)) + (1 + sqrt(108))**2. 8*sqrt(3) + 108 Simplify 1 + (sqrt(5) - sqrt(5)*2) - (1 + sqrt(5) + 1 + sqrt(5)). -3*sqrt(5) - 1 Simpl...
{ "pile_set_name": "DM Mathematics" }
9/(-2))/(9/(-36))? True Let z be 6/(-1)*5/(-15). Suppose 4*l - 5*o = 101, -z*l - l = -o - 62. Is 4 a factor of l? False Let q = 1 + 0. Does 3 divide -2*(-2 + -1 + q)? False Let g be (-173)/(1 - 2 - 0). Suppose 5*x + 3*i = -0*x + g, 2*x - 2*i = 66. Is x a multiple of 17? True Let q(n) = -8*n + 7. Let o(z) = 4*z - 4. Let...
{ "pile_set_name": "DM Mathematics" }
t l = 85 - 79. Let w(h) = 14*h**3 - 3*h + 6. Give l*w(t) + z*r(t). -t**3 - t + 2 Let u(x) = 6*x**3 + 5*x**2 - 2*x. Let l(y) = 5*y**3 + 4*y**2 - 3*y. What is 4*l(r) - 3*u(r)? 2*r**3 + r**2 - 6*r Let s(x) = x + 1. Let f(a) = 116*a + 90. Let h(u) = -23*u - 18. Let t(b) = -10*b**2 + 2*b + 1. Let v be t(-1). Let r(p) = v*h(...
{ "pile_set_name": "DM Mathematics" }
(-25) - -9) + (-2)/5. Suppose -875*j**5 + 9000 + n*j**3 - 37928*j + 27200*j**4 - 39772*j - 348387*j**3 + 223990*j**2 = 0. What is j? 2/7, 2/5, 15 Suppose -658*b - 100 = -653*b. Let c = 81/4 + b. Determine z so that 0 - 1/4*z**2 + 1/4*z**5 - 1/4*z**3 + 0*z + c*z**4 = 0. -1, 0, 1 Suppose i - 5*i + 24 = f, -4*f + 1 = -3*i...
{ "pile_set_name": "DM Mathematics" }
the r'th term of -51, -233, -551, -1005, -1595, -2321, -3183? -68*r**2 + 22*r - 5 What is the x'th term of -432, -910, -1388, -1866, -2344, -2822? -478*x + 46 What is the q'th term of 4728, 4800, 4872, 4944, 5016, 5088? 72*q + 4656 What is the w'th term of -3231, -3260, -3289, -3318? -29*w - 3202 What is the x'th term ...
{ "pile_set_name": "DM Mathematics" }
9, 156, 407, 824? 7*b**3 - b**2 - b - 21 What is the y'th term of 71, 145, 219, 293, 367, 441? 74*y - 3 What is the g'th term of -1093, -2184, -3275? -1091*g - 2 What is the x'th term of 126, 434, 946, 1662? 102*x**2 + 2*x + 22 What is the h'th term of 906, 1812, 2718, 3624? 906*h What is the b'th term of -126, -165, -...
{ "pile_set_name": "DM Mathematics" }
*w + 1255. Let t(z) = 10*z**3 + 6*z**2 - 2*z - 157. Calculate -6*r(a) - 51*t(a). 12*a**3 + 477 Let t(n) = 54717823*n**3 + 304983*n**2 - 33887*n + 33887. Let j(d) = 4844*d**3 + 27*d**2 - 3*d + 3. Determine 33887*j(m) - 3*t(m). -4841*m**3 Let d(j) = -6*j**2 + j - 4. Let o(s) = 3*s**2 + 20*s + 3. Let g(m) = 7*m**2 + 45*m ...
{ "pile_set_name": "DM Mathematics" }
e of 412312*n**3*v**2 + 2*n**3 + 183*n*v + 54 wrt v? 824624*n**3 Find the second derivative of 2*l**5 - 54906*l**3 + 90446*l. 40*l**3 - 329436*l Find the second derivative of -x**5 - 37*x**4 - 360*x**2 - 376698*x wrt x. -20*x**3 - 444*x**2 - 720 What is the third derivative of -a**3*f*q**5 - 23878*a**3*q**3 - 118*a**3*...
{ "pile_set_name": "DM Mathematics" }
4 to two dps. 0.02 What is 46.809933 rounded to two decimal places? 46.81 What is 0.00003692224 rounded to 6 decimal places? 0.000037 Round -7.371849 to one dp. -7.4 Round -0.4768397 to one decimal place. -0.5 What is -0.0057047 rounded to 3 dps? -0.006 What is 83.0893 rounded to the nearest 10? 80 Round 0.3378794 to t...
{ "pile_set_name": "DM Mathematics" }
73*k**2 + 348*k - 19 What is the g'th term of -11235, -11239, -11243, -11247, -11251? -4*g - 11231 What is the v'th term of 872, 1056, 1248, 1448? 4*v**2 + 172*v + 696 What is the t'th term of 2931, 2915, 2899, 2883, 2867, 2851? -16*t + 2947 What is the g'th term of -99, 183, 937, 2397, 4797, 8371, 13353? 39*g**3 + 2*...
{ "pile_set_name": "DM Mathematics" }
*t**2 + 24*t Let s(v) = -v**3 + 16*v**2 - 59*v. Let j be s(10). What is the second derivative of -60*t**2 - 128*t**2 + 98*t + j*t**2 wrt t? -356 Suppose 16*z + 2*z - 36 = 0. Find the third derivative of 31*g**z + 85*g**5 + 2 - 12*g**2 + 17*g**5 wrt g. 6120*g**2 Find the second derivative of -5050*p - 301*p + 661*p**2 +...
{ "pile_set_name": "DM Mathematics" }
5*r + 4529 = -4464 - 11137. What is the remainder when r is divided by 439? 25 Let g(q) = -q**3 - 43*q**2 - 122*q - 15. What is the remainder when 163 is divided by g(-40)? 33 Let h(s) = s**2 + 36*s + 65. Suppose 3*j + 2*a + 103 = 0, -a + 11 - 10 = 0. Calculate the remainder when 114 is divided by h(j). 24 Suppose -6*o...
{ "pile_set_name": "DM Mathematics" }
8*z**2 - 334959*z. 7426080*z**3 What is the first derivative of -306257*g - 281634? -306257 What is the third derivative of -220137*a**3 - 70494*a**2 wrt a? -1320822 What is the second derivative of -i**3 + 469*i**2 + 107336*i + 6 wrt i? -6*i + 938 What is the second derivative of -3*w**2*y**3 + 18445*w**2 - 21*w*y**3 ...
{ "pile_set_name": "DM Mathematics" }
82 (base 12) to base 14. -14c522 Convert -b75667 (base 15) to base 2. -100001010010010100111110 Convert -564056 (base 8) to base 2. -101110100000101110 What is -63966 (base 14) in base 6? -5053450 -1111000000010101 (base 2) to base 15 -13326 What is 341404010 (base 6) in base 16? 5f2c26 Convert -10001221111100 (base 3)...
{ "pile_set_name": "DM Mathematics" }
2*q**3 - 49*q**2 - 148*q + 721. Calculate n(-5). -14 Let m(n) = n**2 - 99*n - 3576. Calculate m(-28). -20 Let k(y) = y**3 + 34*y**2 + 123*y + 120. Give k(-30). 30 Let t(g) = g**3 - 442*g**2 + 34192*g + 800. Determine t(100). 0 Let s(x) = -2686*x - 124838. Calculate s(-48). 4090 Let b(s) = -88730*s + 710413. What is b(8...
{ "pile_set_name": "DM Mathematics" }
qrt(11) Simplify (-5 + sqrt(320)*4 + -3 + 5)**2. -192*sqrt(5) + 5129 Simplify 5 + sqrt(432)*1 - -3*(sqrt(48)*1 + (0 + sqrt(3) + -4)**2). 62 Simplify (4*((sqrt(1344)*2 - sqrt(1344)) + sqrt(1344)))/(-3*sqrt(63) - sqrt(28)/sqrt(4)*6). -64*sqrt(3)/15 Simplify -3*2*2*sqrt(7) + sqrt(2268)*-2 + -1. -48*sqrt(7) - 1 Simplify -3...
{ "pile_set_name": "DM Mathematics" }
est to 0? (a) -2/17 (b) n (c) 0 c Let k = -0.2 - -0.3. Let s be (-2)/3*18 - -7. Which is the closest to k? (a) 0.2 (b) -1/4 (c) s a Suppose -x = -5*y - 25, -3*x + 4*y + 0*y + 20 = 0. Let h = 1.94 + -1.04. Let k = -1.9 - -2. Which is the nearest to k? (a) 1 (b) x (c) h b Let m = 13151 - 118229/9. Let o = -928/6...
{ "pile_set_name": "DM Mathematics" }
common divisor of 4806 and 2848? 178 Calculate the greatest common factor of 153 and 204. 51 What is the highest common divisor of 612 and 136? 68 Calculate the greatest common divisor of 63 and 777. 21 What is the highest common divisor of 252 and 462? 42 Calculate the greatest common divisor of 194 and 24638. 194 Cal...
{ "pile_set_name": "DM Mathematics" }
64 Expand (799*p + 791*p - 1636*p)*(3*p - 4*p + 0*p)*(0*p + 4*p - 5*p). -46*p**3 Expand -2*o**2 + 0*o**2 + 4*o**2 + (-2 + 2 - o)*(-2*o + o + 4*o) + 101*o**2 - 162*o**2 + 141*o**2. 79*o**2 Expand (0*y**2 + y**2 + y**2)*(0*y**3 - 8*y**3 + 15*y**3) - 20*y**5 + 40*y**5 - 29*y - 18*y**5. 16*y**5 - 29*y Expand (669*m**2 - 95...
{ "pile_set_name": "DM Mathematics" }
of m? 3 Suppose -37*y = 2*z - 32*y - 8235, 4*z = 3*y + 16535. What is the units digit of z? 0 Suppose 89*l = 3*v + 88*l - 25749, 2*v - 4*l - 17156 = 0. What is the hundreds digit of v? 5 Suppose -2*o + 884 = 2*l, o + 10*l - 439 = 8*l. Let f = o + 181. What is the tens digit of f? 2 Suppose -25*l = -23*l - 4. Suppose -1...
{ "pile_set_name": "DM Mathematics" }
= 417*w - y*w. Solve -f + 2*f + 3*j = w, 2*j - 16 = 3*f for f. -2 Let o = 2516 + -2514. Solve 0 = 2*y - o*q + 6, -7*y + 3*y + 3*q = 7 for y. 2 Suppose -6*x - 9*x = -0*x - 60. Solve -3*h = -5*h + c + 6, -3*h - c + x = 0 for h. 2 Let j(s) = s**3 + 14*s**2 - 32*s + 6. Let f be j(-16). Suppose -f*w = -w. Solve 2*x + v + 2 ...
{ "pile_set_name": "DM Mathematics" }
Let q(i) be the second derivative of 0 + 0*i**4 - 1/3*i**3 - 1/21*i**7 + z*i**5 + 0*i**6 + 0*i**2 - i. Factor q(v). -2*v*(v - 1)**2*(v + 1)**2 Let b(q) be the first derivative of -q**7/315 - 13*q**6/540 - 8*q**5/135 - q**4/27 - 11*q**2/2 - 1. Let g(v) be the second derivative of b(v). Factor g(u). -2*u*(u + 2)**2*(3*u...
{ "pile_set_name": "DM Mathematics" }
-2603 (c) -3 (d) 2/5 (e) 1/3 (f) -2/5 e What is the smallest value in 4, 3, -1/3, 94387/10? -1/3 What is the second biggest value in 782.9, -0.2, -1.2, -1, -1/8? -1/8 Which is the sixth biggest value? (a) 130.8 (b) 0.1 (c) 4599 (d) -1 (e) -1/5 (f) -3 f What is the sixth biggest value in 12, 6.93, 3/5, -398, ...
{ "pile_set_name": "DM Mathematics" }
-3/7, -7? -0.11 What is the closest to 106 in 22, -3, 4/9, -1/5? 22 Which is the closest to 1? (a) 1/4 (b) 1765 (c) -5 a Which is the closest to 1? (a) -3 (b) -0.2 (c) -0.5 (d) 6339 b Which is the nearest to 34.45? (a) 0.5 (b) 1/5 (c) 3 c What is the nearest to 2/3 in 0.148, -13, -0.5? 0.148 What is the near...
{ "pile_set_name": "DM Mathematics" }
reater: -2 or t? t Let n(i) be the second derivative of -i**5/20 + 5*i**4/6 + 23*i**3/6 + 7*i**2 - 7*i. Let y = -12 + 24. Let z be n(y). Is 21/8 > z? True Let k = 333.47 - 365.6. Let l = k - -32. Let h = l - 2.87. Which is smaller: 3 or h? h Let a be 39/65 + ((-42)/(-255))/1. Are 2 and a equal? False Let y(o) = o**3 - ...
{ "pile_set_name": "DM Mathematics" }
-5, d? d Let o = -7 + 11. Let m = 16.5 - 12. Let q = o - m. What is the closest to -1/3 in 1/2, -3, q? q Let w be -1 + 2 + 1 - -2. Let u = -2/17 + 56/187. What is the closest to 1 in 2/7, w, u? 2/7 Let x = -98/3 + 33. What is the closest to 0.1 in x, -1, -0.5? x Let m(o) = o**3 + 3*o**2 - o - 1. Let g be m(-3). Which i...
{ "pile_set_name": "DM Mathematics" }
at is -4aa59 (base 15) in base 6? -5040320 What is -176263 (base 10) in base 8? -530207 Convert 1241205 (base 6) to base 8. 204145 41444004 (base 5) to base 2 1010011111001001101 -1022540 (base 8) to base 3 -111210201102 -3b25a (base 13) to base 16 -1aeb7 Convert -10733b1 (base 13) to base 12. -1829222 Convert 1214514 ...
{ "pile_set_name": "DM Mathematics" }
e 5*w = -a, -v + 24 = 3*v - w. Solve 4*p + q = -5, -o = -5*p - v*q + 1 for p. -2 Let f = 3424 - 3399. Solve -f*i + 28*i = 3*h - 3, 0 = -3*i + 2*h - 4 for i. -2 Let u = 0 + 0. Suppose -2*n + n + z = -11, n + z - 1 = 0. Suppose -n*v - x + 4 = -4*v, v - x - 8 = 0. Solve -4*k - 4 = 5*q, k - v*q + u = -1 for k. -1 Let d(y) ...
{ "pile_set_name": "DM Mathematics" }
j - 1658*j - 2571*j - 7868*j)*(-1 + 1 - 2*j). 41100*j**2 Expand (-2*h + 0*h + h)*(-6*h**3 + 3*h**3 + h**3)*(-737*h + 1724412 - 1724412). -1474*h**5 Expand (2*u**4 - 3*u**4 + 2*u**4)*(-224931 + 224922 - 665*u - 364*u). -1029*u**5 - 9*u**4 Expand (-9*x**3 + 665*x - 665*x + (x - 3*x - x)*(3*x - x**2 - 3*x) + x**2 + 3*x**3...
{ "pile_set_name": "DM Mathematics" }
e 14? -14a What is 20 (base 4) in base 7? 11 10301 (base 4) to base 11 258 23 (base 4) to base 3 102 Convert 14 (base 13) to base 8. 21 Convert -1101 (base 2) to base 10. -13 Convert 2 (base 11) to base 10. 2 Convert -3 (base 5) to base 9. -3 Convert -21 (base 4) to base 8. -11 1010 (base 2) to base 10 10 -10 (base 4) ...
{ "pile_set_name": "DM Mathematics" }
*l Suppose 2*p = 5*p - 6. Let t(g) = -g**2 + 2*g**2 - 3*g**p. Let v(i) = -9*i + 12. Let c(k) = -154*k + 210. Let w(z) = 2*c(z) - 35*v(z). Give t(w(f)). -98*f**2 Let w(g) = 84*g. Let u(b) = b + 98783. Give w(u(p)). 84*p + 8297772 Let w(q) = -34*q. Let g(l) = l**2 - l. Let h(c) = -1. Let f(z) = 4*z**2 - 3*z - 5. Let u(m)...
{ "pile_set_name": "DM Mathematics" }
9. 3 Calculate the remainder when 4205 is divided by 168. 5 What is the remainder when 2541 is divided by 611? 97 What is the remainder when 1044798 is divided by 249? 243 What is the remainder when 1224944 is divided by 408309? 17 What is the remainder when 10143487 is divided by 1141? 1138 Calculate the remainder whe...
{ "pile_set_name": "DM Mathematics" }
ctors of d. 2, 19 Suppose -5*q - 12 = -112. Let j be -4*(2 - 55/q). Suppose 5*d = -2*i + 122, -j*i + 5*d + 133 = -0*d. What are the prime factors of i? 3, 17 Let r(c) = -c**3 - 6*c**2 + 8*c + 9. Let k be r(-7). Suppose -t = t + k*f - 8, 2*f = 0. List the prime factors of (10*t)/((-6)/(-6)). 2, 5 What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
9277 Add 1021063217 and 857.89. 1021064074.89 0.285 - 731457670275 -731457670274.715 What is -5 less than 584117.7823? 584122.7823 What is -30.2 - 1553824137614? -1553824137644.2 Total of -0.05 and 9814988.3755. 9814988.3255 Work out -436127 + 0.0225072. -436126.9774928 What is -5 minus 24057451167938? -24057451167943 ...
{ "pile_set_name": "DM Mathematics" }
of c and -74/3. 3 Let a be 8/3674*1/6. Let k = a - -90007/16533. Find the common denominator of k and -8 - (-5 + (-299)/(-69)). 9 Calculate the common denominator of (-1391)/(-780) - -2*(-3)/(-36) and (1 - 31)/(264/21). 220 Let h = -3501119/1500 + 8812/125. Let i = -2274 - h. Calculate the common denominator of -49/54...
{ "pile_set_name": "DM Mathematics" }
- y**3/3 + 23*y**2 + 45. Let r(m) be the second derivative of v(m). What is r(-6)? 10 Let z = -2934 - -2936. Let n(u) be the first derivative of -u**3/3 - u**2/2 + 2*u + 11. Determine n(z). -4 Suppose 3*q - 17*q + 7336 = 0. Let p = -519 + q. Let m(w) = w**3 - 4*w**2 - 5*w + 6. What is m(p)? 6 Suppose 20*w + 19 + 1 = 0....
{ "pile_set_name": "DM Mathematics" }
o + 6. Let b be r(l). Suppose 0 = -b*a + 4*a - 84. List the prime factors of a. 3, 7 Suppose 4*o = 5*i - 682, -4*i - 5*o + o + 560 = 0. Suppose -n = -4*x - 0*n + i, x - n - 33 = 0. What are the prime factors of x? 5, 7 Suppose -2*f - 8 = 0, 3*x + x - 4*f = 24. Let v be x + -1*(-1 + 1). Suppose 4*l - 40 = -2*a, -2*l + ...
{ "pile_set_name": "DM Mathematics" }
. Let q(s) = -s - 2*s - 7*s + 6*s. Determine v(q(t)). 4*t Let f(p) = -4*p**2 - 32*p. Let z(k) = 8*k. Calculate f(z(q)). -256*q**2 - 256*q Let l(o) = -o. Let u(j) = 4*j**2 + 0*j**2 + 0*j**2 + 0*j**2. Give u(l(m)). 4*m**2 Let t(z) be the second derivative of -2*z + 1/2*z**3 + 0 + 0*z**2. Let o(b) = b**2. Determine o(t(g)...
{ "pile_set_name": "DM Mathematics" }
True Suppose 0 = 2*z - 43 + 23. Let i be ((-176)/z)/(-2) + -3. Which is smaller: 6 or i? i Let p(k) be the third derivative of -k**6/120 + k**5/30 - k**4/8 + k**3/2 + 9*k**2. Let x be p(1). Which is smaller: 1/47 or x? 1/47 Let a be (-25)/(-445)*(-3)/5. Is -1 at most as big as a? True Let y be (-10)/(-3) + (-1)/6*2. S...
{ "pile_set_name": "DM Mathematics" }
9378 What is -0.2 less than 36328168? 36328168.2 What is -26 plus 17.434187? -8.565813 Add together -339433420 and 4. -339433416 What is -99 less than -81937.2? -81838.2 What is -98922 minus 356.9? -99278.9 Sum 472444 and 0.49. 472444.49 What is the distance between 9750074 and -0.1? 9750074.1 What is the distance betw...
{ "pile_set_name": "DM Mathematics" }
-r - 4*b + 4. Calculate the least common multiple of r and 1320. 1320 Let q = -547 + 547. Calculate the smallest common multiple of 140 and 28 + -25 - (-4*1 + q). 140 Let i = -695 + 11115/16. Suppose -3*c = 2*c - 5*q + 15, -3*q = 2*c - 4. Calculate the common denominator of i and (c/(-6))/((-33)/(-549)). 176 Let j(n) ...
{ "pile_set_name": "DM Mathematics" }
33)/24*2. Which is greater: c or w? w Let n(a) = a + 3. Let c be n(-4). Let t be c*(3 - 69/22). Which is greater: 0 or t? t Let h be 1440/(-18) + -3*1. Which is smaller: h or -82? h Suppose -19*j = -0*j - 342. Which is greater: j or 44? 44 Let p = -1.159 - 0.141. Let h = 2 + p. Do 1/5 and h have different values? True ...
{ "pile_set_name": "DM Mathematics" }
give l. 3 Rearrange -241 + 6*q + 12*q - 29*q + 14*q to h + w*q and give w. 3 Rearrange (2*d + 3 - 3)*(5*d + 620 - 3*d - 613) to j*d + n*d**2 + m and give n. 4 Express 11*g**3 + 284*g - 1 + 0*g**3 - 3*g**3 - 191*g - 3*g**3 in the form h*g**2 + i*g + d*g**3 + o and give i. 93 Rearrange -4*q - 3*q + 5*q + (23 + 2 - 2)*(3*...
{ "pile_set_name": "DM Mathematics" }
ct of 17 and 0.6. 10.2 Product of -0.148 and -2. 0.296 Multiply -1.3 and 80. -104 Work out -79459 * -2. 158918 Product of 2.5 and 0.05. 0.125 What is 14 times -0.2? -2.8 -0.1 times -46 4.6 Calculate 344*4. 1376 Work out 4 * -302. -1208 What is the product of -345 and 38? -13110 Calculate -2722*-5. 13610 Multiply -7 and...
{ "pile_set_name": "DM Mathematics" }
a be (-4)/y*(-15)/2. Is 12 a factor of a*(1 - (-3)/1)? True Suppose 0 = -4*i - 0*i + 96. Is 6 a factor of i? True Let h(m) = -m**3 + 2*m**2 + 4*m + 2. Is h(-2) a multiple of 10? True Is 3 a factor of 11 - 3/(-3) - 0? True Suppose 4 = 5*t - 26. Is 19 a factor of (114/(-15))/(t/(-15))? True Let q(r) = -r**2 - 13*r - 10....
{ "pile_set_name": "DM Mathematics" }
-0.52, 0.06, -572? -0.52 Which is the second biggest value? (a) 3/5 (b) 2 (c) -1.41 (d) 0.1 (e) 2/15 a Which is the second biggest value? (a) -12/5 (b) 2647 (c) -0.7 c What is the second smallest value in 0.03, 2, 1576/5, 0.4, -1? 0.03 What is the smallest value in 2/45, 13235, -1/3? -1/3 What is the biggest va...
{ "pile_set_name": "DM Mathematics" }
2*j**m - 6*j**4 - 4*j + 0*j. -2*j*(j - 1)**2*(3*j + 2) Suppose -2*u + 0 = -4. Suppose -u*b + 7 = -1. Find m, given that -2*m**4 - 2*m**5 + 2*m**3 - 2*m + 2 + 4*m**2 + 2*m**3 - b = 0. -1, 1 Let f(z) be the third derivative of -z**5/420 - 11*z**4/84 - 121*z**3/42 + 10*z**2 + 2*z. Factor f(k). -(k + 11)**2/7 Let c(x) be ...
{ "pile_set_name": "DM Mathematics" }
+ i + 2*i + 2*i**3 wrt i. 12*i Let n(b) be the third derivative of 0*b + 0 - 1/48*b**8 + 0*b**4 + 18*b**2 + 0*b**7 + 0*b**6 + 0*b**3 - 2/15*b**5. Find the third derivative of n(z) wrt z. -420*z**2 Let d = -58 + 61. Let q(k) be the first derivative of 1/4*k**4 + 0*k + 0*k**2 + 5/3*k**d - 4. What is the third derivative ...
{ "pile_set_name": "DM Mathematics" }
p*p*p)/p)**35*(p**(2/5)*p*p**4)**(-13) assuming p is positive. p**(1371/20) Simplify ((f**(-1/3)/f)**(-27/7))**46*f**5/f*f/f**(-7)*f*f/(f/f**(-1)*f)*(f/(f*f**(-6/11)/f))/f assuming f is positive. f**(19105/77) Simplify (((g/g**(-4/3))/g)/(g*g**15)*g**(2/35)/((g**(-8)/g)/g))**(-1/39) assuming g is positive. g**(484/4095...
{ "pile_set_name": "DM Mathematics" }
l(w) - 5*p(w). -w - 24 Let k(n) = 5*n**2 + 3*n + 3. Let y(b) = 9*b**2 + 5*b + 5. Suppose 0 = -2*m + 8. Suppose w = 3*w + 2, -5*z + m*w + 19 = 0. Calculate z*y(d) - 5*k(d). 2*d**2 Let c(i) = 9*i**2 + i - 2. Let p(j) = 5*j**2 + j - 1. Calculate 3*c(z) - 5*p(z). 2*z**2 - 2*z - 1 Let v(g) = -341*g**3 - 77*g**2 + 77*g + 77...
{ "pile_set_name": "DM Mathematics" }
a + -24.09. What is s rounded to the nearest integer? 0 Let p = -0.0695 + 0.069971. Round p to five dps. 0.00047 Let g be (-1772502)/5 + 0 - 12/(-30). Round g to the nearest 10000. -350000 Let w = 16078673 - 9614681. Suppose -975993 - w = 3*x - 5*y, 0 = x - 2*y + 2479994. Round x to the nearest one hundred thousand. -...
{ "pile_set_name": "DM Mathematics" }
*7/3920 - v**6/840 - v**5/15 - 4*v**2. Let w(c) be the third derivative of z(c). Factor w(d). -3*(d + 1)*(d + 2)/7 Let t(v) be the third derivative of 7*v**2 + 0*v**3 - 1/200*v**6 - 3/100*v**5 - 1/20*v**4 + 0 + 0*v. Factor t(g). -3*g*(g + 1)*(g + 2)/5 Suppose -4 = -0*y - 2*y - 3*k, k + 12 = 2*y. Factor 0 - 1/5*f**2 + 1...
{ "pile_set_name": "DM Mathematics" }
815))/(sqrt(24)/sqrt(72)))**2. 40497 Simplify (((-6*((sqrt(144) - sqrt(144)*-2) + sqrt(144) + sqrt(144)))/(-3*sqrt(16)/sqrt(2)))/((-2*sqrt(48)*-3)/(sqrt(16)/sqrt(2)*5))*-5)**2. 15625/3 Simplify (((sqrt(15) - sqrt(120)/(sqrt(40)/sqrt(5))) + sqrt(15))/(1*sqrt(5)*-4) - (sqrt(30) + sqrt(150)/sqrt(5)*1)/(-5*sqrt(30)/sqrt(3)...
{ "pile_set_name": "DM Mathematics" }
21222 Convert -110100110111110011001 (base 2) to base 5. -420420010 -2563770 (base 11) to base 7 -52514634 Convert 44b9ba (base 14) to base 8. 10724460 423263 (base 9) to base 4 331131030 -33573057 (base 8) to base 11 -4117604 -211855 (base 9) to base 5 -13013321 -d1d22 (base 14) to base 15 -9e83a What is 722a783 (base...
{ "pile_set_name": "DM Mathematics" }
3)*o**(-13)/o*o**(2/11)*o**(10/9)*o*o assuming o is positive. o**(-796/99) Simplify (x**(-2)*x)**29/((x*x/(x/(x/x**(-3/4)))*x)/((x**(1/13)/x*x)/x)) assuming x is positive. x**(-1751/52) Simplify ((w**2/w)/w**(-2/3)*(w*w*w**10)/(w*w*w/(w*(w*w**(9/5))/w)*w))**(1/24) assuming w is positive. w**(187/360) Simplify (c*c**(1/...
{ "pile_set_name": "DM Mathematics" }
Sort -4, g, q. g, -4, q Suppose 2 = -2*s - 4*k - 12, s = 2*k - 11. Let w(n) = -4*n**2 + 20*n + 4. Let m be w(5). Sort m, -4, s in descending order. m, -4, s Let s = 2411 - 2419. Sort -4, 0, s, 5 in increasing order. s, -4, 0, 5 Suppose -2*a + 4*c = -6, 3*a + 4*c + 11 = -0*a. Let q = -7 - -1. Let s(x) = -x - 3. Let l b...
{ "pile_set_name": "DM Mathematics" }
29. 7 -359 divided by 2 -359/2 What is -50 divided by -4? 25/2 Divide 500 by 5. 100 Calculate 6466 divided by 1. 6466 32373 divided by -3 -10791 Divide -910 by -2. 455 Calculate 0 divided by 28. 0 Calculate 192 divided by -4. -48 -5 divided by -33 5/33 What is -58 divided by -2? 29 -1 divided by -2 1/2 -462 divided by ...
{ "pile_set_name": "DM Mathematics" }
1/5? q Let z = 7.36 - -0.14. Let u = -8 + z. Let y = -827 - -827. Which is the biggest value? (a) u (b) y (c) 2/7 (d) 2/13 c Let o be ((-2)/10)/(13/26). Let z be 1*(-1 + 5) + 5. Let h be (4 + (-102)/27)*z. What is the smallest value in -3, o, h? -3 Let a(t) = t - 5. Let v(z) = 2*z + 14. Let x be v(-4). Let c be a(x...
{ "pile_set_name": "DM Mathematics" }
f**3 + 276*f - 8 Find the first derivative of a*l**2 - 486*a*l - 5*a - 2*l**2 + 136118*l wrt a. l**2 - 486*l - 5 Find the third derivative of 2*j*r**4 + j*r**3 + j*r**2 + 6*j - 192*r**4 + 3*r**3 - 1686*r**2 wrt r. 48*j*r + 6*j - 4608*r + 18 What is the second derivative of -1026680*m**3 + 8*m - 129807 wrt m? -6160080*m...
{ "pile_set_name": "DM Mathematics" }
14130 and 110? 110 What is the highest common divisor of 53524413 and 2169? 2169 What is the greatest common factor of 1132122 and 12? 6 Calculate the greatest common divisor of 133 and 800387. 7 Calculate the highest common factor of 3721889 and 31. 1 Calculate the highest common divisor of 54345312 and 672. 672 Calcu...
{ "pile_set_name": "DM Mathematics" }
- -24. What is the nearest to d in -0.4, v, w? v Let l = -0.315 + -0.21. Let f = 0.025 + l. What is the closest to -1 in -3, f, 3? f Let f be 27/27 - (-14)/(-10). What is the closest to f in 2/11, -5/3, -6/5? 2/11 Let u = 13 + -40/3. Suppose -2*t = 3*t - 5. Which is the nearest to -1/8? (a) -1 (b) t (c) u c Let y =...
{ "pile_set_name": "DM Mathematics" }
*(-26)*((i*i**0*i*i)/i*i)**(-6/23)*i**(-3/2)*(((i/(i*i*i*i**(-6)*i*i*i)*i)/i*i)/i)/i assuming i is positive. i**(2282/23) Simplify j*j**(-1/9)*j**(-2)*(j**1*j)/(j*j*(j**(-2/9)/j*j)/j)*((j**(-7)/j)/(j/(j**12*j)))**(-3/17) assuming j is positive. j**(-91/153) Simplify (b**(-3)*b*b**(-1/3))**(1/29)*(b*b**3*(b/b**(2/7))/b)...
{ "pile_set_name": "DM Mathematics" }
igit of w? 4 Let d be (-4)/(-2) + 3*(-5)/(-15). Suppose -5*z = d*l - 63, 3*z = 6*z. What is the tens digit of ((-98)/l)/(1/(-3))? 1 Suppose 0 = 2*d - 3*p - 4999, 2051*d - 2050*d = 4*p + 2497. What is the hundreds digit of d? 5 Let t(r) = r**3 - 13*r**2 + 18*r + 49. Let m be t(11). Suppose -3*z - 5 = 7, 4*o - 2928 = -m*...
{ "pile_set_name": "DM Mathematics" }
t d(w) = 3*w**2 + 4*w + 8. Let y(f) = 4*a(f) + 5*d(f). Give n(y(o)). 21*o**2 Let f(i) = -100*i + 14. Let n(o) = o + 12. What is f(n(m))? -100*m - 1186 Let z(o) = 4*o**2. Let w(i) = 70*i - 11*i - 18*i - 15*i. What is w(z(s))? 104*s**2 Let z(o) = -8*o - 1. Let s(n) be the first derivative of 5*n**2/2 - 297. Give z(s(m))....
{ "pile_set_name": "DM Mathematics" }
.05 What is -183993 minus -0.06? -183992.94 What is -230495150 plus 1.94? -230495148.06 2 - 118.887416 -116.887416 Total of -13 and 33084333. 33084320 Add 0.0429573 and 10636. 10636.0429573 Subtract 39.7 from -104.9. -144.6 What is the difference between 0.9407 and 1327991? 1327990.0593 Total of 3600 and 0.05722914. 36...
{ "pile_set_name": "DM Mathematics" }
0*m**2 + 840*m + 12 What is the third derivative of -680573334*u**3 - 81199*u**2 - 2*u - 3002? -4083440004 What is the first derivative of -72*o*w**2 - 48952*o - 678*w**2 - 4550*w - 1 wrt o? -72*w**2 - 48952 Differentiate -39*h**2*s - 214749*h**2 - 2*h - 45877*s - 20 with respect to s. -39*h**2 - 45877 What is the thir...
{ "pile_set_name": "DM Mathematics" }
rt(117))*-4)**2. 10820160 Simplify ((sqrt(2) - sqrt(128))*4 + sqrt(8)*-1)**2*3. 5400 Simplify (-3*(sqrt(2299) + 1) + 1*1*sqrt(2299) + 4*((sqrt(2299) + 2 + sqrt(2299))*-3 + sqrt(2299)))**2. 13068*sqrt(19) + 1113445 Simplify -3*(-5*((sqrt(80) - (2*sqrt(80) + sqrt(80))) + -1) - (-1 + sqrt(80) + -4)*-2)**2. -34635 + 1440*s...
{ "pile_set_name": "DM Mathematics" }
the nearest to 2/7 in -1.9, 6, 973, -1/2? -1/2 Which is the closest to -1/4? (a) 4 (b) 1 (c) -2 (d) -2/180095 d Which is the nearest to -5? (a) 18 (b) -1/2 (c) 0.029 (d) 0.08 (e) -1/3 b Which is the nearest to -1? (a) 4 (b) 1/4 (c) -17 (d) 8 (e) -21 b What is the nearest to 3.63 in 39, 3/4, 0, -34, -11, 0...
{ "pile_set_name": "DM Mathematics" }
alculate -22 + (-117 - -36 - -2). -101 What is the value of 26 + -8 - (-17 + (-38 - -60))? 13 -24 + (23 - -41) + (0 + 1 - 0) 41 What is the value of (0 - 0 - -6) + (7 - (-17 + 142 + -28))? -84 31 - (25 + -13 - 11 - (5 + -27 + 8)) 16 Evaluate 4 - ((9 - -5) + -4). -6 (27 - 63 - -46) + -60 -50 Calculate -12 - ((-14 + (24 ...
{ "pile_set_name": "DM Mathematics" }
is prob of picking 1 d and 2 p when three letters picked without replacement from {k: 3, m: 3, d: 8, p: 3}? 3/85 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from axkznzxzgkzkzza. 4/35 Calculate prob of picking 3 q and 1 v when four letters picked without replacement from {q: 3, v:...
{ "pile_set_name": "DM Mathematics" }
-3/46? True Which is smaller: 2873 or 2870? 2870 Is -1/979 <= 0? True Do 16839 and -2 have the same value? False Which is bigger: -3/21434 or -1? -3/21434 Is 256 bigger than 258? False Is -259 less than or equal to -259? True Which is smaller: -1281 or -1/2? -1281 Which is bigger: 1 or -16/1085? 1 Which is smaller: -1...
{ "pile_set_name": "DM Mathematics" }
63289 rounded to 3 decimal places? -0.016 Round -120950.812 to the nearest ten. -120950 What is -20295196.156 rounded to the nearest 1000? -20295000 What is 1841.0645 rounded to the nearest one hundred? 1800 Round -2.8333132 to 2 dps. -2.83 What is -57.37292 rounded to one dp? -57.4 Round 0.00001519930025 to six dps. 0...
{ "pile_set_name": "DM Mathematics" }
umber? True Suppose 3*o + 0 = -4*v + 5, 4*o = -2*v. Suppose 484 = 5*g - 2*g - f, -478 = -3*g - 5*f. Suppose -2*b - 191 = -5*s + v*b, 0 = 4*s + 5*b - g. Is s composite? True Let j(t) = 132*t**2 - 5*t - 24. Is j(17) prime? True Let b be 31/(-5) - (-7)/35. Let k(x) = -3*x**3 - 3*x**2 - x + 11. Is k(b) prime? True Is 93652...
{ "pile_set_name": "DM Mathematics" }
2). Which is the closest to -1/2? (a) 5 (b) r (c) -0.2 (d) -0.5 d Let v = 4.408 - 4.808. What is the closest to 2/5 in -1/29, -1, v, -2/9? -1/29 Suppose -2*o + 2 = -6. Suppose 0*k = o*k. Let h = 13.75 - 13.7. Which is the closest to 0.1? (a) 0.8 (b) k (c) h c Let f = 268.5 + -268.38. Let b be ((-1)/(-2))/(5/(-10...
{ "pile_set_name": "DM Mathematics" }
*f**3 Let l(r) be the second derivative of -r**9/168 + r**5/20 - 3*r**2/2 + 2*r. Let c(s) be the first derivative of l(s). What is the third derivative of c(x) wrt x? -360*x**3 Find the second derivative of 2*r**3 + 2*r + 538 - 538 + 4*r**3 wrt r. 36*r Let v(u) = 5*u**3 - 2*u**2 + 6*u. Let q(s) = 4*s**3 - 3*s**2 + 6*s....
{ "pile_set_name": "DM Mathematics" }
ivative of f**5/60 - f**3/6 - 41*f**2/2 - 10*f + 5. Let r(h) be the first derivative of k(h). Calculate r(u(z)). z**4 - 1 Let h(k) = 5*k. Let d(j) = 3*j + 10. Let b(s) = -s - 4. Let o(w) = -8*b(w) - 3*d(w). Let n(v) = 16*v - 10. Let a(z) = n(z) + 5*o(z). What is h(a(x))? 55*x Let p(v) = -19*v**2. Let x be (8/3 + -3)*-2...
{ "pile_set_name": "DM Mathematics" }
Determine z(m(n)). 2*n**4 Let f(d) = -175 + 175 - 11*d**2. Let u(v) = -v**2. Calculate u(f(m)). -121*m**4 Let q(s) = -s + 8. Let g(v) = -2*v. Give q(g(y)). 2*y + 8 Let g(n) = -2*n**2. Let y(x) = 13*x + 12. Calculate g(y(o)). -338*o**2 - 624*o - 288 Let u(a) = -a**2 + 1. Let r(z) = z**2 - 2. Let t(q) = r(q) + 2*u(q). L...
{ "pile_set_name": "DM Mathematics" }
.39 + -0.01. Let x = -103 - -719/7. Which is the nearest to 2/7? (a) x (b) -0.5 (c) w a Let v = 503/6 - 84. Which is the nearest to 1? (a) 3 (b) v (c) 5/3 c Let x = -7 + 8. What is the closest to x in -1/6, 0.2, 5? 0.2 Let k = 277/42 + -37/6. What is the nearest to 0 in 3/2, k, -4? k Let t(u) = u + 1. Let f be t(...
{ "pile_set_name": "DM Mathematics" }
- -36. Let p = -258 + 258.109. Let w = -0.091 - p. Is s < w? False Let s = 195887 + -33495875/171. Let v = -30/19 + s. Suppose -5*w - 16 = 2*i, 5*i = 4*w + 24 + 2. Is v < i? False Let i be 68/12 + -7 + 2/6. Which is smaller: -1/2719 or i? i Suppose 2*z - 76 = 6*z. Let f = -266 - -297. Suppose 11*n - 20 = f*n. Is z at l...
{ "pile_set_name": "DM Mathematics" }
(18)/sqrt(2))) - (2 + 6*(sqrt(304) - -1*(-1 + sqrt(304)))). -40*sqrt(19) + 4 Simplify -3 + ((-2*sqrt(3840)*6)/((sqrt(144)*-2)/sqrt(12)*-6) + -1)**2. 16*sqrt(5) + 318 Simplify (((sqrt(120) + sqrt(120)*1*-4)/sqrt(12))/(sqrt(720) - -5*(1*sqrt(720) + sqrt(720))))**2*-1. -1/968 Simplify -4*5*((1*sqrt(2016))/(-5*1*sqrt(7))*-...
{ "pile_set_name": "DM Mathematics" }
, 31174? p**3 - 2453*p + 43314 What is the s'th term of 5559, 22412, 50491, 89790, 140303, 202024? -s**3 + 5619*s**2 + 3*s - 62 What is the c'th term of -1540821, -1540857, -1540917, -1541001? -12*c**2 - 1540809 What is the p'th term of 5063, 20695, 46867, 83579, 130831, 188623? 5270*p**2 - 178*p - 29 What is the x'th ...
{ "pile_set_name": "DM Mathematics" }
8/3)*h)/h) assuming h is positive. h**4 Simplify (t**32/t)/t*t**(-6/17)/t assuming t is positive. t**(487/17) Simplify (j**4/j*j)**(4/13) assuming j is positive. j**(16/13) Simplify ((r*r/(r**(-4)/r))/r)**9 assuming r is positive. r**54 Simplify ((d*d**1*d*d*d)/d**2)**(-1/5) assuming d is positive. d**(-3/5) Simplify (...
{ "pile_set_name": "DM Mathematics" }
12:58 AM? 260 How many minutes are there between 2:53 AM and 4:43 AM? 110 How many minutes are there between 2:49 AM and 3:01 AM? 12 What is 578 minutes before 12:55 PM? 3:17 AM What is 492 minutes before 2:47 PM? 6:35 AM How many minutes are there between 9:56 PM and 9:36 AM? 700 What is 624 minutes after 11:13 PM? 9...
{ "pile_set_name": "DM Mathematics" }
is the k'th term of -336490, -1345799, -3027932, -5382889, -8410670, -12111275, -16484704? -336412*k**2 - 73*k - 5 What is the a'th term of 9053, 9237, 9551, 9995, 10569, 11273, 12107? 65*a**2 - 11*a + 8999 What is the r'th term of 13140, 24553, 35970, 47391, 58816, 70245? 2*r**2 + 11407*r + 1731 What is the f'th term...
{ "pile_set_name": "DM Mathematics" }