text
stringlengths
270
8.19k
meta
dict
nd derivative of -h**5/20 - 2*h**4/3 - 2*h**3 - 3*h**2/2 - 7*h. Let k be q(-2). Which is the third smallest value? (a) k (b) 2/7 (c) -1 b Let d = -6011 - -42076/7. Let h = -0.4 - 0. What is the third biggest value in d, 20, h, 8? d Suppose f + 5*h = 8 + 17, 3*h = 15. Let p = 363.8 - 401. Let t = p - -37.6. What is t...
{ "pile_set_name": "DM Mathematics" }
replacement from {x: 2, b: 4, f: 10, t: 1}. What is prob of picking 2 x? 1/136 Three letters picked without replacement from {z: 1, y: 4, k: 3, p: 2}. Give prob of picking 1 k and 2 y. 3/20 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {p: 1, r: 1, i: 3, m: 2, b: 3}. 1/15 Calcu...
{ "pile_set_name": "DM Mathematics" }
126? 117 What is the remainder when 2019 is divided by 38? 5 What is the remainder when 1449 is divided by 722? 5 Calculate the remainder when 221 is divided by 57. 50 Calculate the remainder when 1123 is divided by 15. 13 Calculate the remainder when 120 is divided by 29. 4 Calculate the remainder when 59 is divided ...
{ "pile_set_name": "DM Mathematics" }
*2 + 7*j + 2. List the prime factors of t(4). 2, 23 Suppose q + 2*t = 6*q - 914, 4*q - 724 = 4*t. What are the prime factors of q? 2, 23 Let v(y) = -y. Let l be v(-3). Let w(m) = -2 + l + 1 - 3 - m. What are the prime factors of w(-6)? 5 Let o be 1 - (4 + (-1 - 2)). Suppose y + 1 - 9 = o. List the prime factors of y. 2...
{ "pile_set_name": "DM Mathematics" }
are the prime factors of k? 127 Let p = -8 + 9. Let l be (p/3)/(2/(-6)). What are the prime factors of l + 6 + 0 + -3? 2 Let i(v) be the first derivative of v**4/4 - 11*v**3/3 + 11*v**2/2 - 5*v + 11. Let t be i(10). Suppose 0 = t*c - 4*c - 14. List the prime factors of c. 2, 7 Let t(b) = 3*b**2 + 32*b - 95. What are t...
{ "pile_set_name": "DM Mathematics" }
is s rounded to the nearest one thousand? -27000 Let w = -50.81 - -0.01. Round w to the nearest integer. -51 Let d(c) = 16050*c**2 - 5*c - 5. Let k(b) = -32100*b**2 + 10*b + 10. Let o(h) = -10*d(h) - 6*k(h). Let j be o(9). Round j to the nearest one million. 3000000 Let m = -77 + 210. Let r = 133.399 - m. Round r to tw...
{ "pile_set_name": "DM Mathematics" }
sing order. -0.1, 0, 2/65, 4, 6.1 Put 5, -9, 46, -4, 25, 2 in descending order. 46, 25, 5, 2, -4, -9 Sort -5, -2, -0.54, -4, 0.5, -0.2 in ascending order. -5, -4, -2, -0.54, -0.2, 0.5 Put 210, 3, 15 in descending order. 210, 15, 3 Sort -635, -1, -136 in decreasing order. -1, -136, -635 Sort 4/3, -2/11, 10.1 in decreasi...
{ "pile_set_name": "DM Mathematics" }
+ f + p*x + o*x**3 + l*x**4 and give f. -11 Rearrange 2*j**3 + 46*j**2 - j - 7*j**4 - 7*j**3 - 48*j**2 to the form q*j**4 + u*j**3 + l + h*j + t*j**2 and give t. -2 Rearrange 47 - 49 - q**4 + 4*q**3 - 5*q**2 + q + 4*q**2 to c*q**3 + v*q**2 + y + z*q + h*q**4 and give v. -1 Express (6 - 6 - 8)*(0*u**2 - 2*u**2 + 3*u**2...
{ "pile_set_name": "DM Mathematics" }
n 0 - 37*l + 2 + 735*l**3 + 37*l. 735*l**3 + 2 Collect the terms in -145*f**3 + 230*f**3 - 84*f**3 + 22 - 96. f**3 - 74 Collect the terms in -882*o**2 - 13 - 9 + 22. -882*o**2 Collect the terms in -742 - 6*z**2 - 434 + 1176. -6*z**2 Collect the terms in -171 + 446 - 268 - 2*s. -2*s + 7 Collect the terms in 12*q**2 + 21...
{ "pile_set_name": "DM Mathematics" }
852. 228 Calculate the greatest common divisor of 8563484 and 292. 292 Calculate the greatest common divisor of 2103579 and 423. 423 What is the greatest common divisor of 812949 and 47571? 303 What is the highest common divisor of 4 and 1314641? 1 What is the greatest common divisor of 5441475 and 2600? 325 What is th...
{ "pile_set_name": "DM Mathematics" }
**2*(g + 2)**2 Let v be (18 - 14624/816)*(-3)/(-2). Factor 4/17*i**4 + 0 + 10/17*i**3 + v*i + 8/17*i**2. 2*i*(i + 1)**2*(2*i + 1)/17 Let f(h) be the third derivative of h**7/840 - h**6/480 - h**5/80 + 5*h**4/96 - h**3/12 + 7*h**2. Factor f(l). (l - 1)**3*(l + 2)/4 Let w be (-4)/(-6 - -2)*3. Suppose 0 = -5*f - 2*j + 18,...
{ "pile_set_name": "DM Mathematics" }
2. Are -21 and z nonequal? True Let m be (183/9)/(2/(-3)). Let z = m - -30. Which is smaller: z or -2? -2 Let u(b) = 3*b**3 + b - 1. Let f be u(1). Let q be f/(-6) - (-2)/4. Let h = -159/154 - -17/14. Is h at least q? True Let i = -2.1 + 0.1. Let d = -30/13 + 236/91. Which is smaller: i or d? i Suppose -5*f + 2*z + 5 -...
{ "pile_set_name": "DM Mathematics" }
rd biggest value in d, -3/2, -0.1? -3/2 Suppose -5*z + 2*q = -0*z + 4, 5*z - q = -7. Let s = -2 - -1.8. Let f = -1.2 - s. What is the second biggest value in z, 1/3, f? f Let d = -0.2 - 0.2. Let v(g) = -g - 4. Let j be v(0). Let w = 3 + -8. What is the smallest value in d, w, j? w Let n be (0 - 9)*(-2)/6. Which is the ...
{ "pile_set_name": "DM Mathematics" }
vative of -1/26*g**y - 4/39*g**3 + 1/130*g**5 + 0 + 0*g**2 - 15*g. Factor z(l). 2*l*(l - 4)*(l + 1)/13 Let q be (-250184)/(-75075) - ((-32)/60)/(-4). Let r = q + 2/2275. Factor 2/5*p**5 + 0*p + 0 + 2*p**4 + 8/5*p**2 + r*p**3. 2*p**2*(p + 1)*(p + 2)**2/5 Suppose -2 = n + 4*k, -5*n + 3*k + 11 = 2*k. Let z be 0/10*(15 + (...
{ "pile_set_name": "DM Mathematics" }
4 + -0.2824. Which is the nearest to p? (a) 5 (b) -1.1 (c) 4 b Let q = -15.86 - -16. Suppose -84*f - 152 = -8*f. What is the closest to q in -1/4, f, -5? -1/4 Let p = 2 - 2. Let k = 1642.2 - 1642. Which is the closest to k? (a) 1 (b) p (c) -5 b Let j = -0.1458 - 2.8542. What is the closest to 0 in -5, j, -1/8, 0....
{ "pile_set_name": "DM Mathematics" }
.1, 2/19, 1.075 Sort -1, -21, -96, 223, 3, 58, -2. -96, -21, -2, -1, 3, 58, 223 Put -12, -1, -18, 4, -3, 5, -26 in decreasing order. 5, 4, -1, -3, -12, -18, -26 Put 34/9, 4, -63271 in decreasing order. 4, 34/9, -63271 Put -42, -4, -3962, -5 in descending order. -4, -5, -42, -3962 Sort 0.2, 38, 500, -2, -3, -2/69 in dec...
{ "pile_set_name": "DM Mathematics" }
= f. List the prime factors of w. 2, 37 Let f = 139 + -62. Let j = f + -45. What are the prime factors of j? 2 Let w be (-557)/(-4) - -1*(-3)/(-4). List the prime factors of (1 - (-2)/4)/(5/w). 2, 3, 7 Let o be 1*(3 - 6) - -15. Let i be (-4)/(1 + 5/(-4)). Let p = i - o. List the prime factors of p. 2 Let t(d) = -d**3 -...
{ "pile_set_name": "DM Mathematics" }
ose -146*g + 70*g + 228 = 0. Solve 5/2*j**g - 2 + 2*j + 13/2*j**2 = 0 for j. -2, -1, 2/5 Solve 0 + 2*t**2 + 0*t + 8*t**3 + 5/2*t**4 - 7/2*t**5 = 0. -1, -2/7, 0, 2 Let x = 157/8 + -153/8. Factor 1/2 - x*i**2 + 0*i. -(i - 1)*(i + 1)/2 Let u(n) be the third derivative of n**6/24 - n**5/4 + 5*n**4/8 - 5*n**3/6 + 29*n**2. S...
{ "pile_set_name": "DM Mathematics" }
sqrt(7)) + 2)*-6 + -1)**2. 27588*sqrt(2) + 52393 Simplify 2 + -6*(0 + (-4*sqrt(190)*-1)/sqrt(10) + -5). -24*sqrt(19) + 32 Simplify 3 + ((2 + sqrt(5)*-2)**2 - sqrt(405)*2) + -5*sqrt(5)*2*1 + 0. -36*sqrt(5) + 27 Simplify -5 + ((sqrt(1536)*2 - sqrt(1536)) + sqrt(24) - sqrt(24))/(6*sqrt(432)) + (sqrt(20) - sqrt(100)/(sqrt...
{ "pile_set_name": "DM Mathematics" }
ast common multiple of n(-6) and l? 12 Let b(v) = -v**3 + 4*v**2 - 3*v + 1. Let q be b(3). Let i = 4 + -6. Calculate the smallest common multiple of 22 and (-3)/i*(q - -3). 66 Let w(m) = 11*m. Let v be w(1). Suppose d - u - v = 3*u, -2*u = -4*d + 16. What is the lowest common multiple of 5 and d? 15 Let s(d) = -d**3 - ...
{ "pile_set_name": "DM Mathematics" }
v(q). Let b(n) = -3*n**2. What is b(k(y))? -3676347*y**2 Let p(f) be the first derivative of f**2/2 + 1232. Let g(a) = 21 - 21 + 55*a**2. Calculate p(g(k)). 55*k**2 Let d(h) = -h**3 - 5*h**2 - 5*h + 4. Suppose -7*k = -3*k + 8. Let v be d(k). Let g(o) = 20*o**v - 12*o**2 - 9*o**2. Let b(a) = -21*a**2. What is g(b(q))? -...
{ "pile_set_name": "DM Mathematics" }
terms in 3*t**2 + 7671*t - 15706*t + 8035*t - 3*t**2 + 63*t**3. 63*t**3 Collect the terms in 36097331*f + f**2 - 36097331*f - 66. f**2 - 66 Collect the terms in 467*k + 2547*k**2 - 5109*k**2 + 2555*k**2 + 473*k - 940*k. -7*k**2 Collect the terms in 1866528*x**3 - 3733045*x**3 + 1866519*x**3. 2*x**3 Collect the terms i...
{ "pile_set_name": "DM Mathematics" }
/(-27) + n + 1)*3. Let y be j(h). Solve -3*t = 2*t + y for t. -4 Let v = -386 - -386. Let k be 42/2 + v + 20 + -15. Solve -a - k = -27 for a. 1 Suppose -3*c - 195 = -207. Solve -c*s + 553 = 577 for s. -6 Suppose 5*b + 4*f = 15, -2*f = 4*b - 19 + 7. Let y = 12 - 6. Suppose 2*q = -0*q + y. Solve -4*r + b*r = q for r. -3 ...
{ "pile_set_name": "DM Mathematics" }
*a - 1859. Let c be g(-19). Let r(h) be the third derivative of -5/12*h**5 + 0 + 5/3*h**4 - 10/3*h**c + 0*h + 27*h**2 + 1/24*h**6. Factor r(v). 5*(v - 2)**2*(v - 1) Let f(a) = a**2 - 4*a - 216. Let r be f(17). Let c be (-370)/(-333)*3/r. Let -c*d**2 - 10/3*d + 0 = 0. What is d? -5, 0 Let m = -80713 - -80715. Let -2/7*l...
{ "pile_set_name": "DM Mathematics" }
2*l**2*o - 57322*o**2 wrt l? -43236*l*o**2 - 4*l*o What is the third derivative of 2*o**4*x + 11667*o**4 + 3*o**3 + o**2*x + 7*o**2 + 34*o*x - 12 wrt o? 48*o*x + 280008*o + 18 What is the second derivative of 7*d**2*f**3*x**3 - 335*d**2*f*x**3 - 82*d*f**2*x - d*f*x + d*x**3 + 10*f**3*x + 2*f*x**3 wrt d? 14*f**3*x**3 - ...
{ "pile_set_name": "DM Mathematics" }
- 112 - -61)? 66 Calculate -31 + -232 + 104 + 116. -43 Calculate 103 + -82 + 127 + -58. 90 Evaluate -5 + (-6 + -2 + 7 - (-31 - 5)). 30 1 + -71 - (-6 + -7 + (-5 - -12)) -64 What is -136 - -133 - (5 + -58)? 50 (87 - 150 - -58) + 1 + -25 -29 What is the value of 58 + -103 + -24 - (-2 + -36)? -31 What is the value of 2 + -...
{ "pile_set_name": "DM Mathematics" }
*p - 4004*r What is the third derivative of -26757*l**3 - 22674*l**2? -160542 What is the third derivative of -36*o**6 - 31*o**5 + 47*o**3 - 17034*o**2 + 2*o - 41? -4320*o**3 - 1860*o**2 + 282 Differentiate 92873*x - 83139 wrt x. 92873 What is the third derivative of a*d**3 + 28*a*d*x**2 + 24*a*x**2 + 1062*d**3*x**2 + ...
{ "pile_set_name": "DM Mathematics" }
)? 331 Let u(l) = 34*l**2 + 801*l + 2089. Give u(-3). -8 Let z(d) = d - 396. Determine z(-109). -505 Let r(o) = -21451*o - 128706. Give r(-6). 0 Let c(a) = a**3 - 14*a**2 - 10748*a + 118563. Give c(11). -28 Let q(v) = -2*v**2 + 131975*v + 8190134. Calculate q(-62). -4 Let h(v) = -v**3 + 68*v**2 - 9*v + 607. Calculate h...
{ "pile_set_name": "DM Mathematics" }
-4 Solve 19*l - 21 = 12*l for l. 3 Solve 0 = 86*q - 116*q for q. 0 Solve 27*r = 73*r - 184 for r. 4 Solve -35 = -2*l - 33 for l. 1 Solve 6*o - 6*o = -2*o for o. 0 Solve -15*j - 25 = 35 for j. -4 Solve 4 + 6 = 2*c for c. 5 Solve 27*d - 23*d + 8 = 0 for d. -2 Solve 0 = -5*h + 4*h + 1 for h. 1 Solve 24*m - 8*m = -32 for ...
{ "pile_set_name": "DM Mathematics" }
is six fifths of a litre in millilitres? 1200 How many milligrams are there in 0.4974997 kilograms? 497499.7 How many years are there in 9/10 of a millennium? 900 Convert 7.531375 days to nanoseconds. 650710800000000 Convert 0.6333973ml to litres. 0.0006333973 What is 3731.339 nanograms in kilograms? 0.000000003731339 ...
{ "pile_set_name": "DM Mathematics" }
+ q = 63, 3*a - f*a = 5*q + 9. What are the prime factors of 2/(-4)*a/3? 2 Suppose -8*w + 9*w + 11 = 0. What are the prime factors of (-2)/w + 4490/110? 41 Let d(v) = 9*v**2 - v + 1. List the prime factors of d(2). 5, 7 Let m = -1 + 3. Suppose -g + q = 3*g - 4, 2*q = 3*g + m. Let x = 10 + g. What are the prime factors...
{ "pile_set_name": "DM Mathematics" }
6/(-48)). 2/53 Evaluate (2/(-114)*-4)/(1678/(-2517)). -2/19 Calculate ((-2)/(-8))/(145/(-24)*48/(-80)). 2/29 Calculate (18/(-1305))/((-8)/(-8)*(-2)/(-10)). -2/29 Calculate (40179/(-187502))/(2/12*6/8). -12/7 Calculate ((-6075)/(-90))/45*(-56)/3. -28 ((-48)/30)/((-25)/(-250)) -16 What is (-80)/4*(-10)/((-450)/63)? -28 W...
{ "pile_set_name": "DM Mathematics" }
? True Let w = -4587/8 + 574. Is -7/9 at most w? True Let x be (-33)/(-9) - 10/15. Suppose -x*m = -5*v + 170, 4*v - 3*v - 17 = 4*m. Is v greater than 37? False Suppose 0 = -2*f + c - 326 - 912, -2*f - 1238 = 2*c. Is -619 < f? False Let l = 0.9 - 1.9. Suppose 3*k = 2*k - 28. Let u be (-24)/18*(-6)/k. Which is greater: u...
{ "pile_set_name": "DM Mathematics" }
est to 2 in k, v, 0.09? 0.09 Let g = 0.50733 - 0.20733. Let j = -20 - -19. Which is the nearest to j? (a) -4 (b) -0.4 (c) g b Let s = -334.9 - -334.7. What is the nearest to -3/7 in s, 33, -2, -0.5? -0.5 Let z = -0.067 + -9.333. Let u = 9.2 + z. Let q = -0.2 + 0.3. Which is the nearest to u? (a) -0.3 (b) -4/3 (c)...
{ "pile_set_name": "DM Mathematics" }
be y(43). Solve 7 = 2*n - r, -2*r - u = -4*n + r for n. 5 Suppose 16*z = 1532 + 724. Let h = -136 + z. Let s be ((-6)/3 - -7)/(h/2). Solve -4 = q + s*x - 3, -2*q - 10 = -4*x for q. -3 Suppose 0 = -99*a + 220*a - 110*a - 77. Solve -16 = -2*w - 2*l, -l = -7*w + 5*w + a for w. 5 Let p = 3205 + -3200. Solve -p*z - 14 = 2*q...
{ "pile_set_name": "DM Mathematics" }
*2 - 5*s + 1. Let m(n) = -n**3 - 3*n**2 + 3*n - 1. What is v*m(i) - 3*h(i)? 2*i**3 + 2 Let c(p) = -p**3 + p**2 - p + 1. Let a(y) = 3*y + 5*y**2 + 5 - 6*y**3 - 2*y - 6*y. Calculate -a(b) + 5*c(b). b**3 Let h(b) = -b - 2. Let s(i) = -2*i - 1. Let z(t) = -4*t - 3. Let o(d) = -11*s(d) + 6*z(d). Calculate -7*h(a) + 2*o(a). ...
{ "pile_set_name": "DM Mathematics" }
is 624 minutes after 4:21 AM? 2:45 PM What is 459 minutes after 1:48 AM? 9:27 AM What is 677 minutes after 8:17 AM? 7:34 PM What is 605 minutes after 8:04 PM? 6:09 AM How many minutes are there between 4:58 PM and 2:31 AM? 573 What is 155 minutes before 2:09 PM? 11:34 AM What is 385 minutes before 4:00 AM? 9:35 PM Wha...
{ "pile_set_name": "DM Mathematics" }
-t - k. Sort t, u, 5 in decreasing order. 5, t, u Let r be (-7)/21 + 10/3. Suppose c + r*o = 22, 3*c = -2*c - o + 124. Suppose 0 = 3*g - 8*g - c. Sort -7, 4, g. -7, g, 4 Suppose -13 = -4*v + 3. Let j be 5 + -4 - 5/v. Sort 1/4, -2/7, j in descending order. 1/4, j, -2/7 Let k = -467/1057 + 2/151. Let z = 38/27 + -2/27. ...
{ "pile_set_name": "DM Mathematics" }
me factors of n/o + (-70)/(-9). 2 Let t(n) = -n + 6 + 9 - 4. Let d be ((-48)/(-9))/((-6)/(-9)). List the prime factors of t(d). 3 Let d = 0 + 7. Let u = d + 8. List the prime factors of u. 3, 5 Let m = 20 - 12. What are the prime factors of m? 2 Suppose 0 = d + 5*y + 20, d + 4*d + 4*y + 16 = 0. Suppose d*u = 5*u - 150....
{ "pile_set_name": "DM Mathematics" }
3 or -6920942? -20762828/3 Which is greater: 1 or 2/17180081? 1 Is -421697 less than -421687? True Is 115989241 greater than or equal to 115989240? True Are 335174 and 2011037/6 unequal? True Does -3/28 = 29/25001? False Is -3096 at least as big as -349784/113? False Is 21380 equal to -0.3743? False Do 112/669701 and -...
{ "pile_set_name": "DM Mathematics" }
- 5*o. Suppose 4*f + 1740 = d. What is the units digit of f? 5 Let j = 27 + -15. Let d(o) = 3*o**2 + 10*o + 12. Let k be d(-3). Let p = k + j. What is the units digit of p? 1 Let i(t) = -22116*t - 937. What is the units digit of i(-1)? 9 Suppose -156 = b + 68. Let y = b + 1167. What is the units digit of y? 3 Let j = -...
{ "pile_set_name": "DM Mathematics" }
+ 24743*u**2 - 4*u**3. 15*u**3 + 2*u**2 Expand (0 + 4 - 3)*(-18 + 18 + 9*n**2) + (-3 - 2 + 3)*(2*n**2 - 5*n**2 - n**2) + 4 - 4 - 3*n**2. 14*n**2 Expand (-3628*t - 4911*t + 11446*t)*(-2*t**2 - 2*t**2 + 2*t**2). -5814*t**3 Expand (7*l**2 + 0*l**2 + 2*l**2)*(-2 + 0 + 4) + 155*l**2 + 61*l**2 - 114*l**2. 120*l**2 Expand 3*...
{ "pile_set_name": "DM Mathematics" }
28704 and 186576? 373152 What is the least common multiple of 148 and 304684? 11273308 What is the smallest common multiple of 2603748 and 30? 13018740 Calculate the common denominator of 61/21750 and -23/63. 456750 What is the common denominator of -1/1850 and -19/4125? 305250 Calculate the common denominator of 40 a...
{ "pile_set_name": "DM Mathematics" }
What is the closest to 0 in y, o, -0.1? -0.1 Let y(n) = -6*n**2 - 4*n - 3. Let p be y(-1). Let w be ((-1)/(-12))/(1/2). What is the closest to -1 in w, 0.5, p? w Suppose -5*p + 20 - 3 = y, 0 = p + 2*y + 2. What is the nearest to 21 in 0.3, p, -0.3? p Let x be (-4 - 5)/3 - (-19)/7. What is the closest to x in -0.2, 0.5,...
{ "pile_set_name": "DM Mathematics" }
= -4*q - 15. Let f(y) = -y - 1. Let z(v) = 6*f(v) - s(v). Differentiate z(j) with respect to j. -2 Let o(l) = -6*l**3 - 6*l**2 - 3*l. Let b(v) = 13*v**3 + 11*v**2 + 5*v. Let p(i) = -6*b(i) - 11*o(i). What is the second derivative of p(d) wrt d? -72*d Find the second derivative of -61*f**2 - 4*f + 13*f**3 + 61*f**2 wrt ...
{ "pile_set_name": "DM Mathematics" }
-76)/(-57)*2*(-6)/(-10)? 8/5 What is the value of 856/(-321) - (-130)/51? -2/17 Calculate (2/(-4))/((-7)/(-102 - 10)). -8 81/3*(-6)/45 + 4 2/5 What is the value of -3*56/42 - -5? 1 Calculate 32/(-24) - (-1)/(-6). -3/2 Calculate 2/(-10) - -28*(-4)/40. -3 Evaluate (-1)/(-4)*2 + (-92)/552. 1/3 (0/(2 + 4) - -1)*0 0 ((-72)/...
{ "pile_set_name": "DM Mathematics" }
(0 + v + 0) - 206255 + 206257 - v - 15*v**2 - 6*v to k*v + p + q*v**2 and give p. 2 Rearrange 1 + 113*l**3 + 2*l - l - 208*l**3 + 5*l**4 + 98*l**3 - l**2 to h + v*l**3 + x*l**4 + f*l**2 + m*l and give m. 1 Express (10*f + 7*f + 7*f + 16*f)*(14 + 11 - 4)*(2 + 0 - 3)*(-11*f**2 + 11*f**2 - 13*f**3) in the form m + l*f**3 ...
{ "pile_set_name": "DM Mathematics" }
at is u in 2*u**5 - 8*u**4 - 24*u**3 - 4*u**2 + 22*u + 12 = 0? -1, 1, 6 Determine t so that -35*t**4/4 + 65*t**3/2 + 285*t**2/4 - 70*t - 25 = 0. -2, -2/7, 1, 5 Factor a**5 + 56*a**4 + 162*a**3 + 160*a**2 + 53*a. a*(a + 1)**3*(a + 53) Factor 97336*f**3/7 + 6348*f**2/7 + 138*f/7 + 1/7. (46*f + 1)**3/7 Factor i**3 - 19*i*...
{ "pile_set_name": "DM Mathematics" }
63 What is the n'th term of 618, 1343, 2070, 2799? n**2 + 722*n - 105 What is the m'th term of -34, 165, 494, 953, 1542, 2261? 65*m**2 + 4*m - 103 What is the a'th term of 74977, 149954, 224931, 299908, 374885? 74977*a What is the p'th term of -507, -1051, -1595, -2139? -544*p + 37 What is the j'th term of -920, -3464,...
{ "pile_set_name": "DM Mathematics" }
+ 3*n + 140 What is the p'th term of -430, -871, -1312, -1753, -2194, -2635? -441*p + 11 What is the q'th term of -704, -705, -706? -q - 703 What is the w'th term of 2284, 2281, 2280, 2281? w**2 - 6*w + 2289 What is the l'th term of -9, -2, 9, 24, 43, 66, 93? 2*l**2 + l - 12 What is the t'th term of 5409, 5372, 5319, 5...
{ "pile_set_name": "DM Mathematics" }
t). Let g(q) = 0. Calculate q. 0, 1 Let q(a) = -5*a**2 + 45*a. Let b(u) = 7*u**2 - 45*u. Let p(l) = 4*b(l) + 5*q(l). What is k in p(k) = 0? -15, 0 Let x(y) = -y - 2. Let v be x(-4). Let o be (-3)/(-1) - (-5)/5. Suppose -v*w**2 + o*w**3 - 5*w**3 - 5*w**4 + w**2 + 7*w**4 = 0. What is w? -1/2, 0, 1 Let i = -222 + 222. Let...
{ "pile_set_name": "DM Mathematics" }
f -11/6 and -31/22? 66 Calculate the smallest common multiple of 56 and 140. 280 Calculate the smallest common multiple of 672 and 16. 672 Calculate the least common multiple of 7 and 3372. 23604 Calculate the least common multiple of 180 and 40. 360 Calculate the common denominator of 125/36 and -19/9. 36 Calculate th...
{ "pile_set_name": "DM Mathematics" }
- 65) to the form c + h*s and give h. -3 Rearrange (-2*u + 3*u - 2*u)*(-4 + 2*u + 4)*(2*u**2 + u**2 - 2*u**2) - 8*u**4 + 0 + 0 to y*u**4 + m*u + v*u**2 + i*u**3 + z and give y. -10 Rearrange (12*g + 7*g + 10*g)*((-2 - 1 + 1)*(-1 - 4 + 3) - 2 - 2 + 3 - 2 + 2 - 1) to j*g + i and give j. 58 Rearrange 0*p**2 + 5*p**2 - 7*...
{ "pile_set_name": "DM Mathematics" }
+ (-5 - 30) + -6. -7 3 + 3 - (10 + (-4 - 0) + 3) -3 What is 3 - (21 - 7 - 0) - -1? -10 What is 4 - 32 - -26 - (-2 + 0)? 0 What is the value of (5 + -16 - -19) + -9? -1 Evaluate (-8 - (-6 + -8) - -3) + -10. -1 Evaluate -2 + (-18 - -6) - -22. 8 Calculate -2 + (3 - ((4 - 7) + 2)) + 6. 8 What is the value of (5 - 20 - -13...
{ "pile_set_name": "DM Mathematics" }
alue in 0.1, n, k? k Let g = -243.94 - -248. Let y = g + 3.9. Let o = 0.04 + y. Which is the second smallest value? (a) 0.3 (b) 4 (c) o b Let p = -0.1161 + -18.7039. Let q = -0.82 - p. Let r = -17.6 + q. What is the second smallest value in r, -1/5, -12? -1/5 Let o = 27 + -99. Let x = -8819.5 + 8891. Let i = x + o. ...
{ "pile_set_name": "DM Mathematics" }
ind the second derivative of -5144798*k**2*o**2 + 2*k*o**2 + 19*k*o - 79*o**2 + 17 wrt k. -10289596*o**2 What is the second derivative of 171547072*k**2 + 4*k - 955513? 343094144 Differentiate -1966*a**4 + 4983*a + 21775630. -7864*a**3 + 4983 What is the third derivative of -1350577*r**4 - 5*r**2 - 62365*r wrt r? -3241...
{ "pile_set_name": "DM Mathematics" }
ify (t/(t/(t/(t/(t**(1/2)/t))))*t**17*t*t**9*t/(t*t**(2/23)*t*t*t))**(-37) assuming t is positive. t**(-39849/46) Simplify ((t**(-11)*t**(2/17)*t)/(t**(-6)*t*t)**(-1/20))**9 assuming t is positive. t**(-7713/85) Simplify (((g/g**(-3))/g*g)/((g**(3/4)*g)/g*g))/((g**(-1)/g)/g)**(3/14)*(g**8*g*g/(g/g**(-2))*g)**(-22) assu...
{ "pile_set_name": "DM Mathematics" }
ve 3*a - 15 = 3*r, -4*r = -o*a - r + 16 for a. 1 Let f = 54 - 51. Suppose 0 = -6*y + f*y + 9. Solve y*k - 2 = -5*p + k, 4*p = 5*k + 28 for p. 2 Suppose -2*f + 9*m = 12*m - 17, -5*f + m = -17. Solve 9*w - 5 = f*w + j, 2*j + 10 = 3*w for w. 0 Let s(l) be the first derivative of 3*l**4/4 - l**3/3 + l**2/2 + l + 3. Suppose...
{ "pile_set_name": "DM Mathematics" }
3. Solve 2 = -r, 11 = 5*v + 4*r + u for v. -4 Suppose 10*o = 44 - 4. Solve -16 = -o*i, 3*l - i = 4*i - 8 for l. 4 Let i be (-39)/(-2) - 3/(-6). Suppose -3*j = 0, 2*n - 5*j - i = -6*j. Solve 0 = 2*r - 6, b = 6*b - 5*r + n for b. 1 Suppose 11 + 7 = -3*y. Let g = y - -8. Suppose -g*q + 10 = 3*q. Solve -1 = z - 7*s + 5*s, ...
{ "pile_set_name": "DM Mathematics" }
nd 2? 6 Suppose -k = 2*k - 9. Suppose w - k = 7. What is the lowest common multiple of 6 and w? 30 Suppose 4*w = 14 + 6. Suppose -4*x - x - 10 = o, -w*o + 65 = 2*x. What is the smallest common multiple of 5 and o? 15 Let l be 1*(-2 + -1457) - -3. Find the common denominator of 7319/l + (-4)/14 and -2*1*(-41)/(-20). 80 ...
{ "pile_set_name": "DM Mathematics" }
- 504321*z**2 to i*z**3 + r + l*z + b*z**2 and give b. 297 Express 316163 - 4942*i - 316163 as u + t*i and give t. -4942 Rearrange -29*u - 710 - 30*u - 245 - 32*u + 90*u to q*u + y and give q. -1 Express 20878*a + 89 - 89 + 47671*a - 6806*a + (2 + 0 - 4)*(-5*a + 2*a + 2*a) in the form h + d*a and give d. 61745 Rearrang...
{ "pile_set_name": "DM Mathematics" }
rt w. 3156*w**2 Let w(b) = -80*b - 24. Let r(u) = -16*u - 5. Suppose 8*t - 186 = 78. Let y(o) = t*r(o) - 6*w(o). Differentiate y(j) wrt j. -48 Find the second derivative of 273*h + 117*h + 835*h**4 + 391*h - 162*h + 130*h wrt h. 10020*h**2 What is the derivative of 18*m**4 - 95 - 38 + 64 wrt m? 72*m**3 Let w(z) = -z**2...
{ "pile_set_name": "DM Mathematics" }
9236. Let h(z) = 8*z - 114*z - 144*z. Calculate h(f(m)). 250*m**2 Let c(k) = -351*k - 349*k - 351*k + 1038*k. Suppose 0 = 4*a - 1 - 7. Let i(h) = 4*h - h - 2*h**a - 3*h. What is c(i(j))? 26*j**2 Let v(n) = -11 + 11 + 57*n - 45*n - 11*n. Let d(b) be the second derivative of -5*b**3/3 - 3*b**2/2 - 2*b. Give d(v(p)). -10*...
{ "pile_set_name": "DM Mathematics" }
that -y**2 + 44*y + 45 = 0. -1, 45 Find d such that 3*d**4/4 + 27*d**3/4 + 27*d**2/2 - 24*d - 72 = 0. -4, -3, 2 Suppose -16*o**3 + 444*o**2 + 576*o + 116 = 0. Calculate o. -1, -1/4, 29 Factor -5*x**3 - 660*x**2 + 5*x + 660. -5*(x - 1)*(x + 1)*(x + 132) Factor 2*a**3/7 + 18*a**2/7 + 22*a/7 - 6. 2*(a - 1)*(a + 3)*(a + 7...
{ "pile_set_name": "DM Mathematics" }
+ 3.8. What is the nearest to 0 in -5/3, s, v? v Let r = 218 - 214. What is the closest to -6 in r, -0.3, -4, -5? -5 Let c = 12004 - 12004. Let h = -0.5 - 0. What is the nearest to 1/2 in c, h, -1/5? c Let w = 40 + -29. Let v = w + -9. Suppose 0 = 3*h - 2*i + i - 4, 0 = i - 5. What is the closest to 0.1 in v, h, 0? 0 L...
{ "pile_set_name": "DM Mathematics" }
the first derivative of v(f) wrt f. 29 Let c = -19 - -19. Suppose 2*k - 2*t - 10 = 0, -7*t + 3*t = c. Find the second derivative of -13*h**5 + 5*h + k*h**5 - 16*h wrt h. -160*h**3 Let j be ((-6)/(-8))/(15/60). Find the second derivative of -115*z**j + 18*z + 115*z**3 - 5*z**4 wrt z. -60*z**2 Let i(f) be the third deri...
{ "pile_set_name": "DM Mathematics" }
76 -0.0151 times -1273 19.2223 -6.87*-1718 11802.66 What is the product of -5356 and 1.3? -6962.8 -14*181851 -2545914 Multiply 2554 and 50. 127700 Calculate 0.02662*0.32. 0.0085184 Work out 499 * 2.452. 1223.548 Product of -2822 and 0.12. -338.64 0.3545 * -23 -8.1535 What is -2 times -7.99384? 15.98768 0.012 * -0.081 -...
{ "pile_set_name": "DM Mathematics" }
508.0000263. What is z rounded to 6 decimal places? 0.000026 Let v = 8 - 1. Let w = v + 5. Let f = -12.66 + w. What is f rounded to 1 decimal place? -0.7 Suppose 10187818 = -3*g - 4*t, -16635374 + 6447550 = 3*g + t. Let b be g/(-6) + (-5)/15. Let x = -24010 - b. Round x to the nearest 100000. -600000 Let h = 1022.0000...
{ "pile_set_name": "DM Mathematics" }
-3*p**3 - 110*p**2 + 1453*p + 5750388? -9*p**2 - 220*p + 1453 What is the third derivative of 994346128*h**3 + 17372638*h**2 - 10? 5966076768 What is the second derivative of 7929217*m**2 + 5794*m - 688? 15858434 What is the derivative of -12910993*m**3 - 19845589? -38732979*m**2 Find the second derivative of 2*w**4 +...
{ "pile_set_name": "DM Mathematics" }
0. What is the tens digit of t? 2 Let o be 4 - (-4 + 15/5). Suppose -o*l + 330 = 5*z, z = -0*l - 2*l + 68. What is the tens digit of z? 6 Suppose -z + 3*r = 3*z - 14, 0 = 2*r - 4. Suppose 0*u + 4*p - 41 = u, 229 = -z*u - 4*p. What is the units digit of (72/u)/((-2)/40)? 2 Let x(g) = 5*g**3 + g - 2. Let b be x(1). Supp...
{ "pile_set_name": "DM Mathematics" }
w**2 Let p(r) = -3*r - 4. Let a(w) = -12 + 8 + 5. Determine 4*a(k) + p(k). -3*k Let n(b) = -3*b - 9. Suppose 26 = 5*a + 5*f + 6, -2*f = a - 4. Let r(d) = -2*d - 5. Let k(y) = -y**3 + 4*y**2 + 5*y - 7. Let x be k(5). Give a*n(u) + x*r(u). 2*u - 1 Let v(a) = -6*a - 16. Let h be v(-4). Let o(t) = 5*t**2 - 8. Let s(n) = 3*...
{ "pile_set_name": "DM Mathematics" }
-4*r = 8, -5*r = -2*u - 2*r + v. Let y be -5 + u - -33000004 - (0 - -2). What is y rounded to the nearest one million? 33000000 Let w be (0 - 4)*3/(-6). Suppose -28 = -w*b - 18. Let x be 250*(-100)/b*226. Round x to the nearest 100000. -1100000 Suppose -459 = 13*s + 2557. Let l be s/(-48) + (-2 - (-39)/18). Suppose 4*c...
{ "pile_set_name": "DM Mathematics" }
- h = -5, 3*p - 6*p - 3*h = -15. Solve -u - 2*l + 3 = p, u - f*l = -4*u - 24 for u. -3 Suppose 12 = 3*g + 3. Let y = -705 + 709. Solve 2*b + 3 = -0*l - g*l, 5*b - 3 = -y*l for b. 3 Suppose 3*l - 5*u - 12 = 0, 78*u = -2*l + 80*u + 8. Solve 9 = -g - l*r - 1, 0 = -4*g + r + 11 for g. 2 Let j be -3 + -1*(2 + -25). Solve y...
{ "pile_set_name": "DM Mathematics" }
1110001101001010100 -101446403 (base 7) to base 10 -5961539 Convert 112034343 (base 5) to base 7. 4161636 -65935a (base 12) to base 10 -1612726 Convert 1336321 (base 9) to base 5. 141423112 -2401069 (base 10) to base 12 -979611 4341442114 (base 5) to base 11 52a1114 1002011221010 (base 3) to base 16 8c3c1 -2211212100 (...
{ "pile_set_name": "DM Mathematics" }
55 AM? 266 How many minutes are there between 2:31 AM and 5:07 AM? 156 How many minutes are there between 7:51 AM and 5:47 PM? 596 What is 526 minutes before 5:14 AM? 8:28 PM What is 176 minutes before 3:04 PM? 12:08 PM What is 490 minutes before 12:17 PM? 4:07 AM How many minutes are there between 9:29 PM and 10:29 PM...
{ "pile_set_name": "DM Mathematics" }
et p be 2 + -2 + 0 + -11194. Let h = c + p. Calculate the common denominator of h and 53/16. 144 Suppose 0*p - 2*v + 42 = 4*p, 17 = -p + 5*v. Suppose o - 24 = 3*m, 0 = 3*o + 3*m - 7*m - 62. Calculate the least common multiple of 27/o + 74/4 and p. 40 Let u = -22 + 42. What is the lowest common multiple of u and 22? 220...
{ "pile_set_name": "DM Mathematics" }
ate the remainder when 143 is divided by k. 43 Let f be 2*(-4 - 24/(-3)). Let i(w) = w**3 - 7*w**2 - 16. Let k be i(f). Suppose -3*h = -k - 9. Calculate the remainder when 75 is divided by h. 18 Let x(u) = -u**3 + 8*u**2 + u + 5. Suppose 4*q = 3*o + 18, o - 6 - 1 = -3*q. Let s(w) = 7*w**2 + 2*w + 1. What is the remaind...
{ "pile_set_name": "DM Mathematics" }
factor of 1802 and 124804718? 1802 What is the greatest common factor of 2878997 and 46926? 869 Calculate the greatest common factor of 47602706 and 4. 2 What is the highest common factor of 198555 and 499968? 651 Calculate the greatest common divisor of 4776956 and 774. 86 Calculate the highest common divisor of 336 ...
{ "pile_set_name": "DM Mathematics" }
c) -5.72 (d) 93 (e) 1/8 c What is the biggest value in -61, -0.5, 1.5, 213.3? 213.3 Which is the third smallest value? (a) -55 (b) 0.035 (c) -7328 b Which is the smallest value? (a) -0.2 (b) 2/19 (c) 0.2 (d) 0.4 (e) 39 (f) 29/6 a What is the second biggest value in -2/5, 0.4, 1563134? 0.4 Which is the bigges...
{ "pile_set_name": "DM Mathematics" }
et w = 127/45 + -13/5. What is the nearest to 0 in 2/3, z, w? w Let r be ((-68)/16 - -2 - -2)/(-1). What is the nearest to 2/3 in -16, 1/2, r? 1/2 Let q = -8 + 12. Suppose x = -4*x - w - 6, -q*w = -16. Which is the closest to 3/5? (a) -4/7 (b) x (c) 0.5 c Let v = 0.008 - 0.208. Which is the closest to -1/4? (a) -0....
{ "pile_set_name": "DM Mathematics" }
be k(12). Let y = -64 + t. What is the tens digit of y? 4 Let m be (-3)/(3/(-127)) + (15 - 14). What is the units digit of 1 + (-25)/5 + m? 4 Let t(o) be the second derivative of 17*o**4/6 + o**3/2 + o**2/2 - 6*o. What is the hundreds digit of t(-2)? 1 Let o = -39 - -43. Suppose 5*c - 352 = -4*v, -3*c = 2*v - o*v + 154...
{ "pile_set_name": "DM Mathematics" }
135/216*12728/185. 43 What is (2 - 3 - 8) + (-44)/(-3) + -16? -31/3 What is the value of (80/24)/(((-130)/(-75))/(-13))? -25 (-5)/2 + ((-3)/4)/((-264)/(-1232)) -6 Calculate 80/700*(693/147)/(3/35). 44/7 Evaluate (2448/(-7752))/(9/6). -4/19 Evaluate -176 + 78528/448 + (-948)/(-63) + (-4)/(-6). 15 (-10)/(-3)*(76437/(-855...
{ "pile_set_name": "DM Mathematics" }
-5*i = o - 1 - 13, d = -3*o - 4*i + 9 for o. -1 Let z be 9 - 1*(4 + 0). Suppose -4*v - 2*a = 4, -z*v + 4*a = 2*a - 13. Let u be 0/5 + v*13. Solve -2*d + t = -t + 8, -2*t = 5*d + u for d. -3 Suppose 4*d - d - 15 = 0. Let h(a) = -a + 8. Let g be h(6). Suppose 40 = 2*t + g*t. Solve 4*y - 3*x + 4 + 2 = 0, 0 = -3*y + d*x -...
{ "pile_set_name": "DM Mathematics" }
060076 = 1264303. Is j a prime number? True Suppose 3*v + v = -5*z - 2, 0 = -3*z + 4*v + 18. Suppose 26549 = z*x - 36651. Is 8/6 + x/24 prime? False Suppose -3*t = 15, 5*y - 217061 = 3*t + 260699. Is y a prime number? True Let z(b) = -390*b - 23. Let n be -4 + 3*(-6 - -5). Is z(n) a prime number? True Suppose -337620 +...
{ "pile_set_name": "DM Mathematics" }
47 Express 4 - 319*w**3 - 4*w**2 - 317*w**3 + 2*w**2 + 635*w**3 - 2 + 59*w**4 in the form z*w**3 + j*w**2 + v + k*w + m*w**4 and give k. 0 Express 12*f**2 + 13*f**3 - 14*f**2 + 5516*f**4 - 5515*f**4 - 6*f + 13*f**3 - 2 + 4*f in the form v*f**4 + y + h*f**2 + q*f + n*f**3 and give v. 1 Express (-4*s**2 - 4*s**2 + 6*s**2...
{ "pile_set_name": "DM Mathematics" }
*f. Let q(g) = g + 21. Calculate q(n(s)). -287*s**2 - 51*s + 21 Let a(u) = 4*u**2. Suppose -9*p = 9*p. Let o(k) be the first derivative of 8 + p*k + 3/2*k**2. What is o(a(n))? 12*n**2 Let w(h) = 907*h**2. Let k(g) be the third derivative of g**4/12 - 333*g**2. Calculate k(w(x)). 1814*x**2 Let c(y) = -16*y. Let b(h) be ...
{ "pile_set_name": "DM Mathematics" }
*z*z)*z))**(-3/14) assuming z is positive. z**(57/14) Simplify z**(7/6)*z*z**(-12/17)*z/(z*z*z/z**(1/12))*z/z**(-35) assuming z is positive. z**(2417/68) Simplify ((x**(5/6)/(x/x**(-6)))/(x**(5/6))**(-47))**(-47) assuming x is positive. x**(-1551) Simplify ((p**1)**(-1/17))**(-16)*(p**(1/2)*p**(-3))**(-18/11) assuming ...
{ "pile_set_name": "DM Mathematics" }
444887? 7, 19, 40939 List the prime factors of 16214674. 2, 7, 31, 37361 List the prime factors of 2481977. 2481977 What are the prime factors of 21173683? 29, 683, 1069 What are the prime factors of 113259? 3, 19, 1987 What are the prime factors of 20440908? 2, 3, 83, 6841 What are the prime factors of 2006305? 5, 7, ...
{ "pile_set_name": "DM Mathematics" }
creasing order. 22, 0.1, -0.2, -0.4, -2 Sort 2/3, -4, 0.0914, 3. -4, 0.0914, 2/3, 3 Put 1, -48, -5 in descending order. 1, -5, -48 Put -0.5, 4, 147, 1 in decreasing order. 147, 4, 1, -0.5 Sort -7, 3/5, 0.3, -6. -7, -6, 0.3, 3/5 Sort 18, -2, -4/7, -6. -6, -2, -4/7, 18 Sort 0.18, -0.1, -2, 2 in decreasing order. 2, 0.18,...
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence iuv? 1/204 What is prob of sequence lus when three letters picked without replacement from {l: 1, y: 1, u: 1, s: 1, x: 1}? 1/60 What is prob of sequence ert when three letters picked without replacement from {e: 3, i: 3, t: 1, r: 2, o: 1}? 1/120 Calculate prob of sequence sf when two letters pi...
{ "pile_set_name": "DM Mathematics" }
osite? True Is 11740453679 a composite number? True Is 655715261 composite? False Is 6867560729 a prime number? False Is 1330037209 a composite number? False Is 181341077581 composite? False Is 6156917651 prime? True Is 359047331 composite? False Is 13770493141 composite? False Is 2812194971 a prime number? True Is 108...
{ "pile_set_name": "DM Mathematics" }
3 - 103*u - 273431*y**2 + y wrt y? -221596704*u What is the second derivative of -865775434*y**2 + 1519284265*y wrt y? -1731550868 Differentiate -8479475*h**2 - 6376373. -16958950*h Find the first derivative of 18906187*l**3*s*v + 58*l**3*v**2 + s*v**2 - 69721*v**2 wrt s. 18906187*l**3*v + v**2 Differentiate 134480*w**...
{ "pile_set_name": "DM Mathematics" }
= 116.5 - 106.5. What is the smallest value in -2/85, 1/2, 0.3, n? -2/85 Let h = -15481.1 + 15478. What is the smallest value in h, -0.2, 0, 0.5, 1/5? h Let h be (-4)/6*(-693)/14. Let a(i) = i**2 - 294*i - 1499. Let d be a(-5). What is the second biggest value in d, h, -1? -1 Let m = 349 + -348.86. Let a = -366.5 - -3...
{ "pile_set_name": "DM Mathematics" }
or of (-71)/5 + 1 + 1 and u? 45 Suppose -2*w + 5*w + 3*b - 12 = 0, b + 14 = 2*w. Calculate the lowest common multiple of w and 10 + 3/1 + -2. 66 Let d = 0 - -10. What is the lowest common multiple of d and 11? 110 Let b = -10 - -16. Calculate the smallest common multiple of 10 and b. 30 Let j = 356017/56682 - 10/3149. ...
{ "pile_set_name": "DM Mathematics" }
wo letters picked without replacement from {s: 4, x: 3}. Give prob of picking 2 s. 2/7 Two letters picked without replacement from {s: 1, o: 3, d: 6, k: 5, z: 3}. Give prob of picking 1 k and 1 s. 5/153 Two letters picked without replacement from {j: 1, s: 18}. Give prob of picking 1 j and 1 s. 2/19 Two letters picked ...
{ "pile_set_name": "DM Mathematics" }
ed by p? 3 Suppose -5*b + 25 = -0*b. Suppose -6*z + z = -2*y + 37, -3*z - 45 = -b*y. What is the remainder when 23 is divided by y? 5 Let f(x) = 2*x - 8*x**3 + 9*x**3 + 2 - 7*x**2 + 8*x. Calculate the remainder when 50 is divided by f(6). 24 Let v(r) = 16*r**3 - r. Let n(q) = 3*q**2 - 2*q. What is the remainder when v(...
{ "pile_set_name": "DM Mathematics" }
mber? True Let k(b) = b**3 - 7*b**2 + 8*b + 6. Let v be k(6). Suppose 3*r - 4*r = -v. Is 4622/r + (-26)/(-117) a composite number? False Let k(l) = -8*l**3 + 7*l**2 - 14*l + 10. Let m(j) = -23*j**3 + 21*j**2 - 42*j + 29. Let n(r) = 11*k(r) - 4*m(r). Is n(7) a prime number? False Suppose u - 86811 = -7*b + 8*b, 5*b = u ...
{ "pile_set_name": "DM Mathematics" }
PM? 82 What is 480 minutes after 1:26 PM? 9:26 PM How many minutes are there between 7:43 AM and 3:59 PM? 496 What is 496 minutes before 5:32 AM? 9:16 PM How many minutes are there between 3:30 AM and 10:04 AM? 394 How many minutes are there between 4:07 AM and 2:06 PM? 599 How many minutes are there between 11:49 AM a...
{ "pile_set_name": "DM Mathematics" }
15 Solve -5*g + 731 - 656 = 5*f, -5*f = -g - 45 for f. 10 Solve 26*t = -4*x + 31*t + 25, 31*x - 3*t = 26*x + 15 for x. 0 Solve -1707 = 3*g - 8*n - 1752, g - 4*n + 9 - 20 = 0 for g. 23 Solve -13*l - 4*d + 281 = 0, 8*d + 2*d - 10 = 19*d - 14*d for l. 21 Solve 2*f + 7 = 5*b, -323*b + 98 - 63 = -5*f - 328*b for f. -6 Solve...
{ "pile_set_name": "DM Mathematics" }
). Suppose -r*z = -7*z + 62. Calculate the remainder when c is divided by z. 29 Suppose 5*d - 3*d = 6. Suppose 0 = -f - 0*f - 5*s + 49, 9 = f - d*s. Suppose -2*z = 2*z - 180. What is the remainder when z is divided by f? 21 Let z(b) = -15 - 3*b**3 + 6*b + 2*b**3 - 9*b**2 + b**3 + b**3. Let v be z(9). Suppose 0 = 5*s - ...
{ "pile_set_name": "DM Mathematics" }