text
stringlengths
270
8.19k
meta
dict
7 Calculate the remainder when 362 is divided by 121. 120 Calculate the remainder when 502 is divided by 41. 10 Calculate the remainder when 335 is divided by 11. 5 Calculate the remainder when 189 is divided by 33. 24 What is the remainder when 73 is divided by 16? 9 Calculate the remainder when 309 is divided by 62....
{ "pile_set_name": "DM Mathematics" }
late the remainder when l(z) is divided by 11. 9 Suppose -4*u + 6*u - 40 = 0. Suppose -3*j + 71 = -43. Calculate the remainder when j is divided by u. 18 Let b = 31 + -5. Let r(k) = k. Let c(m) = 4*m - 2. Let f(o) = c(o) - 6*r(o). What is the remainder when b is divided by f(-8)? 12 Suppose -c + 7 = -a + 22, c + 63 = 4...
{ "pile_set_name": "DM Mathematics" }
3 What is 416 minutes after 2:26 AM? 9:22 AM How many minutes are there between 4:34 AM and 9:29 AM? 295 What is 92 minutes before 9:38 PM? 8:06 PM How many minutes are there between 4:54 PM and 2:49 AM? 595 How many minutes are there between 7:53 PM and 4:17 AM? 504 How many minutes are there between 12:39 AM and 12:2...
{ "pile_set_name": "DM Mathematics" }
56. Round y to one decimal place. -0.8 Suppose -265*v - 4012896 = -909481. Round v to the nearest one thousand. -12000 Let g = 0.1257 - -654.8743. Let j = g + -380. Let d = j - 275.189. Round d to 1 dp. -0.2 Let l = -3492.4702 + 3493. Round l to 2 decimal places. 0.53 Let t = -1556.2 - -1353.94. What is t rounded to th...
{ "pile_set_name": "DM Mathematics" }
+ 13*h wrt c? 650040*c**3*h**3 + 240*c**3*h What is the second derivative of -21*c**3*r**2 - 21*c**2*r**3 - 7*c*r**3 + r**3 wrt c? -126*c*r**2 - 42*r**3 Find the third derivative of 114*i*q**3*s**3*v**2 - 4*i*q**3*s**3 - 3*i*q**2*s**2*v**2 + 4*i*q*s*v - i*q*s - 33*q**2*s**3 - 3*s**3 wrt q. 684*i*s**3*v**2 - 24*i*s**3 ...
{ "pile_set_name": "DM Mathematics" }
king 1 j and 1 l when two letters picked without replacement from lzjxiaxizailxl? 3/91 Three letters picked without replacement from smjmwwissm. What is prob of picking 1 i, 1 s, and 1 j? 1/40 What is prob of picking 2 l when two letters picked without replacement from {l: 2, h: 3}? 1/10 What is prob of picking 1 x, 1 ...
{ "pile_set_name": "DM Mathematics" }
Let y(m) = -112*m + 4. Let s(x) = 12*g(x) - 3*y(x). Let z(f) = 2*f. Calculate z(s(q)). 696*q Let n(u) = u + 3. Let q(y) = y. Let b(c) = 7*c + 2. Let j(i) = b(i) - 6*q(i). Let a(h) = -3*j(h) + 2*n(h). Let o(m) = 7*m. What is o(a(p))? -7*p Let b(j) = j**2. Let z(w) be the third derivative of -11*w**7/1260 - 23*w**5/30 + ...
{ "pile_set_name": "DM Mathematics" }
3/5, -1/2? q Let p = -133 + 86. Let d = 46.8 + p. Let u = 3.1 + 0.9. Which is the nearest to -0.04? (a) -0.1 (b) d (c) u a Let p = 22799/4 + -5663. Let o = p - 36. Which is the nearest to -1? (a) -15 (b) -0.4 (c) o b Let k be (1 - -2) + (-5 - 0) + -1. Let v(b) = b - 12. Let a be v(11). Let x be a*2 + (-68)/(-32)....
{ "pile_set_name": "DM Mathematics" }
2, 3, 5, 509, 1867 What are the prime factors of 100395718? 2, 1607, 31237 What are the prime factors of 4122147833? 4122147833 List the prime factors of 2768913950. 2, 5, 11, 5034389 List the prime factors of 114024463. 7, 16289209 List the prime factors of 1740453550. 2, 5, 11, 1117, 2833 What are the prime factors ...
{ "pile_set_name": "DM Mathematics" }
he power of 1/4, to the nearest integer? 4 What is the fourth root of 5054 to the nearest integer? 8 What is 6548 to the power of 1/3, to the nearest integer? 19 What is the cube root of 43532 to the nearest integer? 35 What is the third root of 17484 to the nearest integer? 26 What is the tenth root of 26609 to the ne...
{ "pile_set_name": "DM Mathematics" }
vveveeevvlvfv. What is prob of picking 1 e and 3 v? 28/143 Two letters picked without replacement from {u: 5, b: 5, l: 5, s: 1}. What is prob of picking 1 u and 1 l? 5/24 Two letters picked without replacement from jhgjgbgihhhhjj. Give prob of picking 1 j and 1 b. 4/91 Three letters picked without replacement from kkh...
{ "pile_set_name": "DM Mathematics" }
mposite? False Let i = 243 - -88. Is i a prime number? True Let y be ((-18)/10)/((-6)/30). Suppose 0 = y*u - 7*u - 284. Is u a composite number? True Let i be 222/24 + (-2)/8. Let a be (2 + (-2)/(-3))*9. Is (-1)/(-3) + a/i prime? True Let i be 1/(-4)*(-1 + -19). Suppose -5*c + 520 = i*v, -5*v + c + 560 = -2*c. Is v com...
{ "pile_set_name": "DM Mathematics" }
99 = 0, 2*x = -5*p + 593. Suppose 8*c = -33 - p. Are -61/3 and c equal? False Suppose -45*z + 11192 + 12433 = 0. Let k be 630/z + (-1)/5. Which is smaller: -2 or k? -2 Suppose -14*d - 110 = -614. Suppose -3*x = 4*y + 8, -7*y = -5*x - 8*y - d. Is -1/6 greater than or equal to x? True Let d = 2981/1704 - 43/24. Let b = d...
{ "pile_set_name": "DM Mathematics" }
+ 10 = g for l. 5 Suppose -130 = 29*c - 42*c. Let f(i) = 12*i + 53. Let k be f(-4). Solve -k*m - c = -0 for m. -2 Let v(u) = -8*u + 75. Let z be v(6). Let s be (3*(-3)/z)/(7/(-147)). Solve a = -s*a for a. 0 Let u(t) = -69 - 36 + 23*t - 68. Let b be u(8). Solve -4*s - 3 + b = 0 for s. 2 Let n(o) = -o**2 - 6*o - 2. Let p...
{ "pile_set_name": "DM Mathematics" }
-2 for i. -5 Let q(f) = 32*f**3 + f**2. Let c be q(1). Suppose 3*m - 44 = o + o, -c = -2*m + 5*o. Solve -t - 5 = -2*j, -2*t - m = -5*j - t for j. 3 Let p(z) = -18*z - 11. Let y be p(-1). Suppose -13*s + 3*m = -14*s - 1, -3*m - y = -2*s. Solve -3*h + s*f + 8 = 0, 0 = 2*h - 0*h - f - 4 for h. 0 Let a(p) = 17*p + 612. Le...
{ "pile_set_name": "DM Mathematics" }
? 12 What is the remainder when 73 is divided by 5? 3 What is the remainder when 115 is divided by 36? 7 Calculate the remainder when 58 is divided by 9. 4 Calculate the remainder when 501 is divided by 42. 39 Calculate the remainder when 11879 is divided by 220. 219 Calculate the remainder when 479 is divided by 72. 4...
{ "pile_set_name": "DM Mathematics" }
14*a**2 + 399 - 1190. -2*(a - 1)**3*(a + 20) Let s(w) = 3*w**3 - 11*w**2 + 20*w + 4. Let g(c) = -3*c**3 + 10*c**2 - 22*c - 5. Let d(a) = -4*g(a) - 5*s(a). Find z, given that d(z) = 0. 0, 1, 4 Let z(h) be the second derivative of -5*h**4/24 + 13*h**3/12 + 3*h**2/2 + h - 7. Factor z(w). -(w - 3)*(5*w + 2)/2 Let j(c) = c*...
{ "pile_set_name": "DM Mathematics" }
+ -17? -9 146*21/(-294) + 6/14 -10 Calculate ((-200)/(-140))/((-2)/7). -5 What is the value of 0 + 0 + -3 + 3 + -1? -1 What is the value of (-128)/(-48) + 1/3? 3 Calculate 1*-5 + (15 - 11 - 0). -1 What is 18/15 + -1*(0 + 1)? 1/5 What is the value of (256/48)/4*(-3)/28? -1/7 -33 + 35 - (0 - 0 - 1) 3 What is the value o...
{ "pile_set_name": "DM Mathematics" }
17)) + -6*sqrt(117)*2)). -11217 + 117*sqrt(13) Simplify ((-2*sqrt(405)/sqrt(9)*3 + sqrt(10)/sqrt(2)*5 + sqrt(30)/sqrt(54))*-6)**2. 28880 Simplify ((-2*sqrt(80)*1 - (0 + sqrt(80) + 1 - sqrt(80)))*-3*6 + 2)**2. 5760*sqrt(5) + 104080 Simplify (((sqrt(30) + sqrt(120)/(sqrt(4) - (sqrt(4)*-2 + sqrt(4))))/((sqrt(3) + sqrt(27)...
{ "pile_set_name": "DM Mathematics" }
Let a(s) = 35*s**2 - 4*s - 1. Calculate -6*a(m) - 4*t(m). -66*m**2 - 2 Let p(l) = 5*l. Let i(t) = 17*t. What is -5*i(u) - 35*p(u)? -260*u Let l(i) = 2*i**3 - 7*i**2 - 3*i - 4. Let a(f) = -2*f**3 + 6*f**2 + 2*f + 3. Calculate -6*a(b) - 5*l(b). 2*b**3 - b**2 + 3*b + 2 Let z(g) = -4*g - 22. Let d(j) = 11431 - j + j - 1142...
{ "pile_set_name": "DM Mathematics" }
to base 11. 547 Convert 21354 (base 6) to base 4. 232012 213111 (base 4) to base 6 15353 111100010000001 (base 2) to base 4 13202001 -10841 (base 10) to base 7 -43415 What is -5181 (base 13) in base 5? -330014 Convert 95d (base 15) to base 13. c67 Convert -1120010 (base 3) to base 16. -471 -145 (base 15) to base 3 -10...
{ "pile_set_name": "DM Mathematics" }
(l) = -r(l) + 10*u(l). Let z(v) = 7*v**2 - 5*v. What is 5*h(i) - 16*z(i)? -2*i**2 Let i(v) = 11 - v**3 + 5*v**3 - 5*v**2 + 16*v**2 - 4*v**2. Let t(w) = 2*w**3 + 3*w**2 + 5. Give -6*i(o) + 14*t(o). 4*o**3 + 4 Let y(r) = -2*r**2 + r + 1. Let x(m) = 138*m**2 - 4*m - 2. Determine x(p) + 4*y(p). 130*p**2 + 2 Let z(v) = -37*...
{ "pile_set_name": "DM Mathematics" }
) = -1. Let b(n) = l*m(n) + 3*g(n). Give b(-5). -8 Let f(b) be the first derivative of -b**2/2 + 6*b + 36. Give f(6). 0 Let c(o) = o + 1. Let v(y) = 4*y + 5. Let q(b) = 9*c(b) - 2*v(b). Give q(-3). -4 Let j(z) = -2*z**2 + 9*z - 7. Let n(k) = -k**2 + 5*k - 4. Let w = -1 - -1. Suppose -o + w = 7. Let t(a) = o*n(a) + 4*j(...
{ "pile_set_name": "DM Mathematics" }
10:01 PM? 274 What is 355 minutes before 3:44 PM? 9:49 AM How many minutes are there between 10:27 PM and 5:06 AM? 399 What is 652 minutes before 11:41 PM? 12:49 PM What is 676 minutes before 10:27 PM? 11:11 AM What is 420 minutes before 1:54 AM? 6:54 PM What is 345 minutes after 8:39 PM? 2:24 AM How many minutes are t...
{ "pile_set_name": "DM Mathematics" }
2*g = -2*v + 4. Let f be -1*(g - -2)*-1. Find o such that 0 + 3*o**2 + 0*o + 5*o + f + 0*o = 0. -1, -2/3 Factor -2/3*m**2 + 16/3*m + 0. -2*m*(m - 8)/3 Let i(z) be the first derivative of 0*z - 1/3*z**2 + 7 - 1/9*z**3. Determine d, given that i(d) = 0. -2, 0 Let w(u) be the second derivative of -u + 0*u**3 + 0 - 3/40*u*...
{ "pile_set_name": "DM Mathematics" }
- 4 - 2*a. Calculate t(-5). 4 Let y(q) = q**3 - 7*q**2 + 3*q + 3. Let u(v) be the third derivative of v**6/120 + 13*v**5/60 - 7*v**4/12 + v**3 - 6*v**2. Let r be u(-14). What is y(r)? -15 Suppose 4*u - 2*q - 12 = 0, -2*u = -0*q - 5*q - 14. Let h(r) = -r**2 + r**u - 5*r**2. Give h(1). -5 Let z(n) = -7*n**2 - n. Let y be...
{ "pile_set_name": "DM Mathematics" }
vative of g**7/840 - 13*g**6/360 + 13*g**5/120 - 5*g**4/24 - g**3/6 + g. Let a(m) be the second derivative of v(m). Is a(12) prime? True Let z(l) = 81*l + 2. Is z(1) a composite number? False Suppose 4*t = 11 + 5. Suppose t*m - 162 = -2*f, f - 9*m = -4*m + 95. Is f a prime number? False Suppose 5*y - 6680 + 1785 = 0. I...
{ "pile_set_name": "DM Mathematics" }
closest to 3 in -1/4, -2393, 0.1, 5? 5 Which is the nearest to -1/4? (a) -335 (b) -5 (c) 7 b What is the nearest to -11 in -2/7, -2/5, -1/22436? -2/5 Which is the nearest to 2/3? (a) 1 (b) -3/4 (c) 10331 a Which is the nearest to 9? (a) -4/5 (b) 1 (c) -186 (d) 2 d What is the closest to -1/4 in -343, 0, 0.3, ...
{ "pile_set_name": "DM Mathematics" }
eters? 300 Convert 2.046993 years to centuries. 0.02046993 What is 6.143802 seconds in milliseconds? 6143.802 What is 166503.1 millennia in years? 166503100 What is 79.6112 years in decades? 7.96112 How many seconds are there in 0.7966313 days? 68828.94432 How many months are there in 17/4 of a decade? 510 What is 0.33...
{ "pile_set_name": "DM Mathematics" }
*2 + 43*j + 30. Let h be i(23). Let f = q + h. Which is smaller: f or -3? f Let o be -7 - (13770/(-4))/15. Which is bigger: 222 or o? o Let y = -10.222 - -0.022. Let l = y - -10.6. Is l bigger than -9? True Let r(o) = o**2 + 8*o - 1. Let t be r(-10). Suppose p + 18 = t. Which is greater: -2 or p? p Suppose 116*p - 22 =...
{ "pile_set_name": "DM Mathematics" }
e of -10*k**3/3 - 19. Let c(i) = -9*i - 7. What is c(p(w))? 90*w**2 - 7 Suppose 25 = 5*j, 3*j = -5*r - 2*j + 40. Let i(p) = 46*p + r - 47*p - 2. Let t(q) = -3*q + 1. Let m(s) = -i(s) + t(s). Let k(b) = 19*b**2. Give m(k(d)). -38*d**2 Let y(r) = 6*r**2 - 2818109*r + 2818107*r + 2*r**2. Let h(t) = 2*t + 6. Calculate h(y(...
{ "pile_set_name": "DM Mathematics" }
*2 - 5*d - 1. Let x be z(3). What is the third derivative of 1 + 48*o**4 + 4*o**2 - 65*o**4 - 50*o**4 + 12*o**x wrt o? -1608*o Find the third derivative of -88*i + 1033*i**2 - 343*i**3 + 183*i + 1040*i**3 - 95*i wrt i. 4182 Let v = -189 - -266. Let m = 102 - v. Find the first derivative of 18 + 3 + m - 12 - 9*i wrt i. ...
{ "pile_set_name": "DM Mathematics" }
3*n + 12 + 1. Let f be (25 - i)*(-2)/(-5). Calculate the highest common divisor of f and 36. 12 Suppose t - 2*x = -3*t + 56, -t - 5*x + 25 = 0. What is the highest common divisor of 45 and t? 15 Let y = -11 + 139. What is the highest common divisor of 4 and y? 4 Let j(x) = 4*x**3 - 2 - 3*x**3 - x - 2*x**2 + 4*x. Suppos...
{ "pile_set_name": "DM Mathematics" }
2 What is the highest common divisor of 145020 and 660? 60 What is the highest common factor of 813 and 5335719? 813 What is the greatest common divisor of 14150 and 14825? 25 What is the greatest common divisor of 15657 and 124335? 921 What is the highest common divisor of 469 and 930295? 67 Calculate the highest comm...
{ "pile_set_name": "DM Mathematics" }
.9 Let d = -0.04 + 0.0832. Let j = -0.04 + d. Round j to 3 decimal places. 0.003 Let l = 81 - 51. Let p = l + -30.00152. Round p to four dps. -0.0015 Suppose 0*w + 3*w = 12. Suppose -5*g - w*o - o = -2749985, -2*g + 1100015 = -5*o. Round g to the nearest 100000. 600000 Let v = 10 + -6. Suppose -5633 = v*f + 4767. What ...
{ "pile_set_name": "DM Mathematics" }
9 millennia? 960610800 What is 59364.86 litres in millilitres? 59364860 How many grams are there in eleven eighths of a kilogram? 1375 Convert 14071.11 months to years. 1172.5925 Convert 9127.824 litres to millilitres. 9127824 How many micrograms are there in 89.75557t? 89755570000000 Convert 859616.2 years to centurie...
{ "pile_set_name": "DM Mathematics" }
- (1 + -9)) + (-188460)/21060 2/39 What is 36*2*((-5402)/(-1095) - 5)? -24/5 Evaluate ((-36)/6)/((-630)/(-7665)). -73 What is the value of (-765)/1020*224/120? -7/5 -30*(-6279)/299*(-4)/36 -70 Evaluate ((-21)/2)/(-28 + (-5198)/(-184) - 10/16). 28 What is the value of (((-272)/4284)/(1/(-9)))/(2/14) - -10? 14 (10/3050)/...
{ "pile_set_name": "DM Mathematics" }
93 less than or equal to 4358442/19? False Which is smaller: 13585/47 or -79? -79 Do 13058406 and 13058407 have different values? True Which is smaller: -5506863 or -5506799? -5506863 Do -4/789 and -2323 have different values? True Which is bigger: 11/186 or -29805? 11/186 Which is bigger: 16445210 or 16445214? 1644521...
{ "pile_set_name": "DM Mathematics" }
ator of 145/6 and f? 6 Let b = -44347/8 - -5543. Calculate the common denominator of b and ((-53)/8)/(4 - 3). 8 What is the common denominator of 85/7292 and 19*3*(135/(-44))/27 - -5? 80212 Let c = 644 - 924. Let s = -274 - c. Calculate the smallest common multiple of s and 154. 462 Let f = 200 + -170. Let d(n) = n**3 ...
{ "pile_set_name": "DM Mathematics" }
4*r**3 + 5784*r**2 - 68876*r + 63096 = 0. Calculate r. 1, 11, 1434 Factor -5*s**5 + 45*s**4 - 130*s**3 + 100*s**2 + 120*s - 160. -5*(s - 4)*(s - 2)**3*(s + 1) Suppose -8*d**4/3 + 54348*d**3 - 733576*d**2/3 + 271684*d - 81504 = 0. Calculate d. 1/2, 1, 3, 20376 Let -516*j**2 + 244*j + 272 = 0. What is j? -68/129, 1 Find ...
{ "pile_set_name": "DM Mathematics" }
l**2 - 4*l + 5. Let x be z(4). Let s be (52/(-65) + 384/(-45))*(-6)/4. Solve y = -x*w + 15, -w - 5*y = -s + 35 for w. 4 Let g be (-2 + 5)/((-6)/(-8)). Let w(y) = -4*y. Let c be w(2). Let i be 7/(28/c)*-10. Solve -g*p = -2*l - 2*l - 16, 0 = 5*p - i for l. 0 Suppose 9*x = 3*o + 8*x - 40, -5*x = -o - 10. Solve -2*a - a - ...
{ "pile_set_name": "DM Mathematics" }
7 (b) f (c) -2/7 c Let q = -93 - -73. Let o = q - -22. What is the nearest to o in 5, 3, -0.5? 3 Let w = -403.8 - -404. Let t(x) = x**3 + x**2 - 4*x - 3. Let m be t(-2). Let r(l) = l**2 + l. Let n be r(m). Which is the closest to w? (a) 0.4 (b) n (c) 5/2 a Let i(f) = 10*f**2 + 2*f - 4. Let r be i(3). Suppose -4*y ...
{ "pile_set_name": "DM Mathematics" }
Is -1/4979 greater than or equal to 1? False Is -163 <= -18? True Which is smaller: -510/7 or -72? -510/7 Are 2 and 54 nonequal? True Are -1 and -1/2700 nonequal? True Which is smaller: -479 or -491? -491 Is -8 <= 23? True Is 171 not equal to 119? True Do -1180 and -1/3 have the same value? False Which is smaller: 1 or...
{ "pile_set_name": "DM Mathematics" }
prob of sequence frxd? 1/756 Four letters picked without replacement from {r: 1, h: 6, d: 4, m: 4}. What is prob of sequence mhhr? 1/273 What is prob of sequence fc when two letters picked without replacement from cffccccccc? 8/45 Three letters picked without replacement from {k: 2, f: 1, n: 6, g: 1, p: 2}. Give prob o...
{ "pile_set_name": "DM Mathematics" }
1 What is the square root of 10786 to the nearest integer? 104 What is the cube root of 146857 to the nearest integer? 53 What is the third root of 872 to the nearest integer? 10 What is the square root of 40880 to the nearest integer? 202 What is the fifth root of 1855 to the nearest integer? 5 What is the third root ...
{ "pile_set_name": "DM Mathematics" }
*a**3/7 - 15*a**2/7 - 690. Suppose w(z) = 0. Calculate z. -2, -1, 0, 5 Suppose 0 = -3*u + w + 11, 3 = 2*u + 4*w - 9. Suppose -j + 11 = 4. Solve 4*y**3 - 4*y**2 - u*y**5 - y**4 - 2*y**4 + j*y**4 = 0. -1, 0, 1 Let g be ((3/2)/(-3))/((-6)/48). Suppose 2*h - 2*h = -g*h. Factor -2/9*r**2 + h - 4/9*r. -2*r*(r + 2)/9 Let k(s)...
{ "pile_set_name": "DM Mathematics" }
(c) -29 b Which is the nearest to 1/4? (a) 2/11 (b) 1 (c) -0.09 a Which is the nearest to -1? (a) 0 (b) -18 (c) 20 a Which is the closest to -2/9? (a) -33 (b) -2 (c) 4/9 c Which is the nearest to 1? (a) -1/2 (b) 3/2 (c) -5 (d) 2 b Which is the closest to 0.4? (a) 2 (b) 0.7 (c) 0.2 c What is the closes...
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of -83/14 and 60/(-16)*(-42)/(-9). 14 Suppose 4*j - 32 = -2*b, 3*j - 3*b - 2*b = -2. Let q = -60 + 67. Calculate the smallest common multiple of q and j. 42 What is the least common multiple of 12 and 5/15*24/2? 12 Let c be 0 - (0 - (-12)/339). Let j = c - 311/791. What is the common de...
{ "pile_set_name": "DM Mathematics" }
8? 2, 7, 19, 719, 1567 List the prime factors of 76827002. 2, 7, 419, 1871 List the prime factors of 2666158726. 2, 7, 11, 163, 106213 List the prime factors of 1615379142. 2, 3, 13, 20709989 List the prime factors of 2120604348. 2, 3, 823, 214723 What are the prime factors of 321303762? 2, 3, 13, 103, 13331 What are t...
{ "pile_set_name": "DM Mathematics" }
r) = 35 - 66 + 2*r + 109 + 108. Calculate the remainder when n(3) is divided by 44. 16 Suppose 29*u + 18 = 35*u. Suppose 122 = 3*d + 5*i, -d - u*i = -27 - 19. Calculate the remainder when 336 is divided by d. 30 Suppose -26*a = -10*a - 64. Suppose -g - 3 - a = -i, -4*g - 1 = 5*i. What is the remainder when 27 is divide...
{ "pile_set_name": "DM Mathematics" }
is v rounded to one dp? -6 Let u = -2.5 - -4.5. Let t = u + -1.902. Let d = 0.09799995 - t. Round d to 7 decimal places. -0.0000001 Let k = -4849.259 - -4879.3. What is k rounded to the nearest ten? 30 Let n = 44.779992861 + -44.78. Round n to six decimal places. -0.000007 Let y(h) = -39570*h - 10. Let r(q) = q + 20. L...
{ "pile_set_name": "DM Mathematics" }
d Let n be (3/(-7) - (-450)/70) + -2. Let z be n/(-18) + 35/441. What is the closest to -0.05 in z, -5, -3, -2/17? -2/17 Let r = -1.025 + 1.225. What is the nearest to 1 in 3, r, 149? r Let l = -0.9 - -0.88. Let h = -89.3 - -89. Suppose 6*t = 4*t - 4. Which is the closest to t? (a) h (b) -4/7 (c) l b Let k = 7727 + ...
{ "pile_set_name": "DM Mathematics" }
). -74 Let k(y) = 3*y**2 + 56*y - 16. What is k(-19)? 3 Let b(y) = y**3 + 2*y**2 - 10*y - 51. Give b(4). 5 Let f(i) = -240*i**2 - 699*i + 5. Calculate f(-3). -58 Let r(a) = -a**3 - 13*a**2 + 1679*a - 36. What is r(-48)? 12 Let u(s) = s + 72. Give u(10). 82 Let k(o) = -o**2 + 91*o + 3040. What is k(-26)? -2 Let a(g) = g...
{ "pile_set_name": "DM Mathematics" }
What is the b'th term of -69597, -69603, -69609, -69615, -69621? -6*b - 69591 What is the b'th term of -599462, -599464, -599466, -599468, -599470? -2*b - 599460 What is the t'th term of 359915, 359918, 359933, 359966, 360023, 360110, 360233, 360398? t**3 - 4*t + 359918 What is the j'th term of 208346, 416693, 625040? ...
{ "pile_set_name": "DM Mathematics" }
/(-154). Suppose 2*t - 36 = -3*q, 2*q - w = -t - 1. What is the remainder when 212 is divided by t? 14 Suppose 4*o - 3*t = 8, -5*o + 4*t - 634 = -641. Suppose i + 4*m - 25 = 0, -3*m - 41 - 53 = -2*i. Calculate the remainder when i is divided by o. 8 Suppose -26*f - 55 - 49 = 0. Calculate the remainder when 56 is divide...
{ "pile_set_name": "DM Mathematics" }
, 0 Sort 7/4, -2/11, 0 in decreasing order. 7/4, 0, -2/11 Sort 0.3, -78/19, 5 in ascending order. -78/19, 0.3, 5 Put 1/3, 0, -5, 5, -0.05 in decreasing order. 5, 1/3, 0, -0.05, -5 Sort -1, 48, -3, 1/5, 1. -3, -1, 1/5, 1, 48 Sort -4/31, -3, -0.4, 0 in decreasing order. 0, -4/31, -0.4, -3 Sort -64, 3/2, -0.1 in decreasin...
{ "pile_set_name": "DM Mathematics" }
i(h) be the third derivative of -1/12*h**4 - 3*h**2 + 0*h**3 + 0 + 0*h. Let k(u) = -3*u. Calculate i(k(l)). 6*l Let s(h) be the first derivative of -4*h**3/3 - 11. Let y(q) = -5*q**2. What is s(y(w))? -100*w**4 Let y(h) = h**2. Let k(i) = -4*i. Let a(u) = u. Suppose 3*j + 97 = -3*z + 10, 3*j = -5*z - 139. Let r(p) = z*...
{ "pile_set_name": "DM Mathematics" }
t = -467 - -17749/38. What is the common denominator of 6/16 - 1521/(-360) - 2 and t? 190 Suppose 308 + 106 = 23*j. What is the lowest common multiple of 42 and j? 126 Suppose 13*i - 8*i = 140. Calculate the lowest common multiple of 20 and i. 140 Suppose -c - 49 = -1231. Calculate the least common multiple of c and 6...
{ "pile_set_name": "DM Mathematics" }
2. 22 Calculate the greatest common divisor of 63 and 692433. 63 Calculate the highest common divisor of 13 and 28691. 13 What is the highest common divisor of 4002 and 8832? 138 What is the highest common divisor of 14180 and 90? 10 Calculate the greatest common divisor of 43309 and 79355. 269 What is the highest comm...
{ "pile_set_name": "DM Mathematics" }
2). -38 What is the value of 97 + 9 + (2 - -23) + -37? 94 What is the value of (18 + 0 - (-3 - -24)) + 73 + -2 + -4? 64 Evaluate -42 + (-70 - (-100 - -51)). -63 Evaluate -38 - (5 + -8 + 32 + -7). -60 Evaluate -9 + -31 + 153 + -170. -57 11 - ((252 - 315) + (18 - -1)) 55 What is -7 - -13 - (-77 - -39 - (11 + -1))? 54 Cal...
{ "pile_set_name": "DM Mathematics" }
is the remainder when 481 is divided by 11? 8 Calculate the remainder when 1432 is divided by 144. 136 What is the remainder when 143 is divided by 69? 5 What is the remainder when 40 is divided by 22? 18 What is the remainder when 103 is divided by 12? 7 What is the remainder when 144 is divided by 15? 9 What is the ...
{ "pile_set_name": "DM Mathematics" }
hich is greater: 25 or -0.172? 25 Which is smaller: 2 or 162/127? 162/127 Is -4735 >= -4735? True Is 2 > 14? False Are -56.9 and -0.14 unequal? True Is -128 <= -140? False Are 12/59 and 0 unequal? True Which is greater: -29 or -491? -29 Is -136 greater than or equal to -139? True Is -42/19 less than or equal to -3? Fal...
{ "pile_set_name": "DM Mathematics" }
or a. -2 Let r(v) = v**2 + 11*v + 2. Let n(o) = -o + 1. Let l(x) = -4*n(x) - r(x). Let u be l(-6). Let f = 16255 - 16249. Solve u = -c + f*c - 25 for c. 5 Suppose 10 = -218*f + 219*f. Suppose -f*j + 11*j = 0. Solve -l + 4*l - 15 = j for l. 5 Let n be (0/(-6))/1 - 25. Let g be (24/(-20) - -4) + (-5)/n. Solve 3*i + 12 = ...
{ "pile_set_name": "DM Mathematics" }
5*c - 6, 6 = -3*c. Let a(h) = -3*h**2 - 26*h - 6. Is a(m) a multiple of 9? False Let x(i) = 328*i + 6027. Is 25 a factor of x(-11)? False Suppose 2*d = -m + 1, -3*m + 10 = -5*d - 8*m. Suppose 0 = d*p - 320 - 430. Is 16 a factor of p? False Suppose -5*f - 19356 = 2*c - 52972, 3*c = -2*f + 13442. Is 10 a factor of f? Fa...
{ "pile_set_name": "DM Mathematics" }
ided by 2130. 2129 Calculate the remainder when 5565044 is divided by 327355. 9 Calculate the remainder when 1250944 is divided by 7131. 3019 Calculate the remainder when 36932 is divided by 986. 450 Calculate the remainder when 1132098 is divided by 9201. 375 Calculate the remainder when 1548407 is divided by 1486. 14...
{ "pile_set_name": "DM Mathematics" }
of 6989880? 2, 3, 5, 31, 1879 List the prime factors of 11830981. 47, 211, 1193 List the prime factors of 443084. 2, 110771 What are the prime factors of 122560? 2, 5, 383 What are the prime factors of 279277? 317, 881 List the prime factors of 76886. 2, 37, 1039 What are the prime factors of 6997028? 2, 1749257 List ...
{ "pile_set_name": "DM Mathematics" }
)? 0 Let o be 547 + (5 - (-6 - -14)). Calculate the remainder when 269 is divided by (0 + o)/8 + 0. 65 What is the remainder when 311 is divided by ((-254)/(-4))/((5/30)/(15/45))? 57 Suppose -h + 33 = g, -5*h - 1 = -2*g + 58. Let k = -11 + 74. Let s = k + -1. What is the remainder when s is divided by g? 30 Let u = 280...
{ "pile_set_name": "DM Mathematics" }
/j**(6/7))*j*j))/j*(j/(j/(j/(j/(j/(j*j/((j/j**(-23)*j*j)/j)*j))))*j*j))/j) assuming j is positive. j**(-226/7) Simplify (x/(x/x**(-5)))**46/(x**(-1/11)/x*x**(1/3)/x) assuming x is positive. x**(-7532/33) Simplify (h*h*h**15*h*h/((h*h**1)/h))/(h**(1/2)*h/h**(-2/31)) assuming h is positive. h**(1019/62) Simplify w**(-1/1...
{ "pile_set_name": "DM Mathematics" }
208*w - 77. What are the prime factors of m(29)? 619 Let l = -13 - -16. Let f = l + 0. List the prime factors of f*((-230)/(-3))/5. 2, 23 List the prime factors of 8/(-22) - (-349700)/572. 13, 47 Suppose -4*n + 11 = 3*g, -3*n - 3*g + 9 = -0*n. Suppose -4*o = -5*c + n, 3*c + 2*o + 0 = -12. Let x = 6 + c. What are the pr...
{ "pile_set_name": "DM Mathematics" }
the closest to 1? (a) u (b) -1 (c) 0 (d) -10 c Let h = 264 - 257. Let i(y) = -y**2 + 6*y + 9. Let p be i(h). Which is the nearest to 2/7? (a) 11 (b) p (c) -0.1 c Let j = -564 - -559. Let d = 8.1 + -7.7. Which is the closest to d? (a) 1.4 (b) j (c) -0.5 c Suppose 4*n + 0*n + 8 = 0. Let v be ((-256)/(-42) - 6)/...
{ "pile_set_name": "DM Mathematics" }
4 AM? 1:10 PM How many minutes are there between 6:49 AM and 11:51 AM? 302 What is 51 minutes before 10:55 AM? 10:04 AM What is 48 minutes after 11:44 PM? 12:32 AM How many minutes are there between 9:13 PM and 2:26 AM? 313 What is 488 minutes before 9:09 AM? 1:01 AM How many minutes are there between 1:58 AM and 1:00 ...
{ "pile_set_name": "DM Mathematics" }
ggest value in 0.16, -0.2, -15? -0.2 What is the second biggest value in -4, -2/3, 0.67, 3? 0.67 Which is the third smallest value? (a) 3 (b) -3 (c) 19 (d) -5 a Which is the second smallest value? (a) 16 (b) -8 (c) 0 c What is the second biggest value in 1.1, 5, 0.5? 1.1 Which is the third biggest value? (a) 1/...
{ "pile_set_name": "DM Mathematics" }
v for p. 1 Let x = 2802 + -2798. Solve 2*z + 16 = -x*u, 2*z + 21 - 17 = 2*u for z. -4 Let h(l) = 6146 + 34*l - 6136 + 6*l**2 - 14*l. Let n be h(-3). Solve f - q = 0, 3*f - 2*f = 3*q + n for f. -2 Let b(m) = 10*m - 209. Let q(a) = -2*a + 41. Let l(w) = -2*b(w) - 11*q(w). Let s be l(19). Solve 0 = s*j - 2*r + 11, 2 = 5*...
{ "pile_set_name": "DM Mathematics" }
.08 + -0.08. What is the nearest to -0.1 in b, r, -0.2? -0.2 Let o be 2/10 + 1/(-5). Let v be 22/(-8) + 3 + o. Let p = 25/3 + -29/3. Which is the nearest to v? (a) 3/7 (b) p (c) -0.1 a Let h = -5.3 - -0.3. Let n = -4.96 - h. Which is the nearest to n? (a) 2/9 (b) 3 (c) -4 a Let s = 5.8 + -6. Let l = -14.8 - -14. ...
{ "pile_set_name": "DM Mathematics" }
. 2, 3, 37 What are the prime factors of 2952? 2, 3, 41 What are the prime factors of 35752? 2, 41, 109 What are the prime factors of 2810? 2, 5, 281 List the prime factors of 4766. 2, 2383 List the prime factors of 445. 5, 89 List the prime factors of 12735. 3, 5, 283 What are the prime factors of 1788? 2, 3, 149 What...
{ "pile_set_name": "DM Mathematics" }
rt h. -15 What is the second derivative of -13*t + 73 + 91*t**4 + 3 + 12*t wrt t? 1092*t**2 Find the third derivative of 12*s**5 + 7*s**3 - 10*s**5 + s**5 - 7*s**2 + 117*s**2 wrt s. 180*s**2 + 42 Let k(c) be the second derivative of 0*c**3 + 0 + 0*c**4 - 19/10*c**6 + 0*c**5 - 49*c - 51/2*c**2. What is the derivative of...
{ "pile_set_name": "DM Mathematics" }
1)**2 - (sqrt(44)*3 + (sqrt(11) - sqrt(44)/sqrt(4))*1)) + -5. -1334 + 13*sqrt(11) Simplify sqrt(27)/sqrt(9) + 0 - (2 + sqrt(3) - sqrt(3))**2*5 - ((sqrt(168)/sqrt(8))/sqrt(7) + sqrt(192) + -2). -18 - 8*sqrt(3) Simplify 2 + sqrt(648) + 3 + (sqrt(18)*-1*5)/(sqrt(36)*-4). 5 + 149*sqrt(2)/8 Simplify (2*(0 + sqrt(300) + sqrt...
{ "pile_set_name": "DM Mathematics" }
6855, 8571, 10287? 12003 What is the next term in 87, 85, 83, 81? 79 What is next in 6, 8, 8, 6, 2, -4? -12 What is the next term in 54, 94, 134, 174, 214, 254? 294 What is the next term in 7, -12, -65, -170, -345? -608 What is next in 1478, 2959, 4452, 5963, 7498, 9063, 10664, 12307? 13998 What is the next term in 34...
{ "pile_set_name": "DM Mathematics" }
ctors of p? 5, 23 Let g(v) = -49*v**3 - 4*v**2 - 14*v + 2 + 3*v**2 + 9*v + 7*v. Let z be g(-2). Suppose 3*t = -t + 3*q + z, 2*t = 4*q + 198. List the prime factors of t. 5, 19 Suppose 0 = -3*w + 3*z + 96531, 44*z = -2*w + 47*z + 64361. What are the prime factors of w? 2, 5, 3217 Suppose 11155 = 3*m - 2*y, 30*m = 26*m +...
{ "pile_set_name": "DM Mathematics" }
Express -l**3 + 0*l**3 + 0*l + 761 - 759 + 2*l**4 + 2*l in the form y*l**2 + s + t*l**4 + k*l**3 + g*l and give s. 2 Rearrange (-2*j**2 - 2*j**2 + j**2)*(-4 - 1 + 4)*(-4 + 4 - 1) to i + d*j + t*j**2 and give t. -3 Rearrange (-4*w + w + 4*w)*(0*w**3 + w**3 - 2*w**3) - w**4 - 2*w**4 + 6*w**4 to the form i*w**4 + z*w**3 +...
{ "pile_set_name": "DM Mathematics" }
7)*x*x*x**(-2)*x*x**(-3/7) assuming x is positive. x**(197/357) Simplify (a**(2/19))**(-42) assuming a is positive. a**(-84/19) Simplify (p*p/(p/((p*p**(1/2)*p)/p)*p))**(-34/5) assuming p is positive. p**(-51/5) Simplify ((p*p**(-1/6))/p**(2/7))/(p**(-2/3)/p*p)**(-25) assuming p is positive. p**(-677/42) Simplify (l**(...
{ "pile_set_name": "DM Mathematics" }
ide -1 by -375511. 1/375511 Divide -81 by -1528. 81/1528 -14685 divided by 15 -979 Calculate 1563450 divided by -104230. -15 Calculate -171936 divided by -3. 57312 39558 divided by -13186 -3 Calculate -700629 divided by -233543. 3 -39692 divided by 33 -39692/33 279 divided by -837 -1/3 What is -5 divided by 10622? -5/1...
{ "pile_set_name": "DM Mathematics" }
*-11*15/6 5/7 Calculate 723/72 - 24 - -1*14. 1/24 Evaluate ((-4)/10)/((-15)/((-900)/8)). -3 What is the value of ((-1925)/(-1575))/((-1)/(-9))*(1 + 0)? 11 Evaluate (1926/(-749))/(2/(-14)). 18 What is the value of (-1665)/45 - (-19 + 1)? -19 What is the value of 14/(-110) + (336/(-240))/(42/(-12))? 3/11 What is (-2)/(-3...
{ "pile_set_name": "DM Mathematics" }
the units digit of 90238? 8 What is the ten thousands digit of 25770? 2 What is the tens digit of 44459? 5 What is the thousands digit of 15549? 5 What is the hundreds digit of 48717? 7 What is the units digit of 6513? 3 What is the thousands digit of 3113? 3 What is the tens digit of 17506? 0 What is the units digit o...
{ "pile_set_name": "DM Mathematics" }
n divisor of v and 1. 1 Let j be (272/(-56))/(2/(-14)). Calculate the highest common factor of 2 and j. 2 Suppose 4*p = -2*p + 126. What is the greatest common divisor of p and 483? 21 Let b be (12/10)/((-12)/(-160)). Calculate the greatest common factor of b and 304. 16 Suppose 51*h + 7943 = 64*h. What is the highest ...
{ "pile_set_name": "DM Mathematics" }
e prime factors of (-1)/k*(-12)/3? 2 Suppose 0 = x - 31 + 8. Suppose -a - x = 2*h, 0*h - 4*a = 5*h + 59. What are the prime factors of (79/1)/(h + 12)? 79 Let w(n) = -14*n - 19. Let b be w(-2). Let u(z) = z**2 + 3*z + 60. List the prime factors of u(b). 2, 3, 7 Suppose 4373*n - 4431*n + 618918 = 0. What are the prime f...
{ "pile_set_name": "DM Mathematics" }
g order. 19/6, 1/4, -0.16, -0.4 Sort -13/11, 4, -5.1, -3/4, 1. -5.1, -13/11, -3/4, 1, 4 Sort 5, -2/643, 11, -1. -1, -2/643, 5, 11 Put 3/11, -1093, 3 in increasing order. -1093, 3/11, 3 Sort 3, -287, -2/13137 in ascending order. -287, -2/13137, 3 Sort -8, -1, 5, 159. -8, -1, 5, 159 Sort -11, -2, 5, 3, 224 in increasing ...
{ "pile_set_name": "DM Mathematics" }
7236246481 a prime number? True Is 37506097103 composite? False Is 143641413319 a composite number? True Is 47926709479 a prime number? False Is 51533879 a prime number? True Is 1843037611 a prime number? True Is 1893875471 prime? True Is 14057783 a composite number? False Is 45147970839 prime? False Is 824723047 a pr...
{ "pile_set_name": "DM Mathematics" }
75, 21212? 24749 What comes next: -103542, -103555, -103568, -103581, -103594, -103607? -103620 What comes next: -20986, -41975, -62964, -83953? -104942 What is the next term in 496, 517, 538? 559 What is next in -843, -3451, -7797, -13881? -21703 What comes next: -3832, -3952, -4072? -4192 What is the next term in -97...
{ "pile_set_name": "DM Mathematics" }
2180741 by -30. -2180741/30 What is 8145102 divided by 6537? 1246 -82798312 divided by -21079 3928 What is 7198898 divided by 211? 34118 Divide 2319174 by 5247. 442 Divide -10048536 by -2. 5024268 Divide -42644116 by 2. -21322058 Calculate -68134 divided by 138. -34067/69 Divide -487047 by 853. -487047/853 Divide 26 b...
{ "pile_set_name": "DM Mathematics" }
(0*v**5 + v**5 - 3*v**5 + 3*v**5 - 2*v**5 - 2*v**5 + (4*v - 3*v + v)*(-2*v**4 + v**3 - v**3) + v**3 - 2*v**5 - v**3)*(23 - 2 - 5). -144*v**5 Expand -389 + 389 + 53*t**3 + 7*t**3 - 2*t**3 - 3*t**3 - t**3 + 3*t**3 - 3*t**3 + (-4*t + t + t)*(1 + 2*t**2 - 1). 50*t**3 Expand (15*u - 3*u - 9*u + 2)*(u - 2*u - u). -6*u**2 - ...
{ "pile_set_name": "DM Mathematics" }
-12). Is c(y) composite? False Let q be 0 - -2 - 288/3. Let s = q - -191. Let g = 0 + s. Is g prime? True Let w(o) = o**3 + 8*o**2 + 1. Let q be w(-8). Let k be (4 - 1)/q - 3. Suppose k = -d - 106 + 395. Is d a composite number? True Suppose 104 = -4*g + 3*h + 2076, -4*g - 3*h + 1996 = 0. Suppose 3*s - 531 - g = -b, -1...
{ "pile_set_name": "DM Mathematics" }
8)/(-2). Let d = 117 - s. What are the prime factors of d? 83 Let k(s) = -32*s + 97. What are the prime factors of k(-27)? 31 Suppose -10*f = -5089 + 339. What are the prime factors of f? 5, 19 What are the prime factors of (-30)/(-4)*(-1768)/(-26)? 2, 3, 5, 17 Let w(j) = -j**3 - 10*j**2 - j + 24. Let i = -31 + 21. Lis...
{ "pile_set_name": "DM Mathematics" }
-1, m, 2 in decreasing order. 2, -1, m Let l be (4/(-10))/((-88)/(-55)). Let j be 1*-2 + (-56)/(-26). Put -11, l, j, 4 in ascending order. -11, l, j, 4 Let x = -79 - -89. Let v be ((-4)/(-6))/(x/(-15)). Put v, -4, 5, 2 in decreasing order. 5, 2, v, -4 Let a = 1563 - 1566. Sort 908, a, 0 in decreasing order. 908, 0, a L...
{ "pile_set_name": "DM Mathematics" }
True Which is bigger: -446/39 or 1? 1 Is -4 at least -5360? True Are -304839 and 1 nonequal? True Which is smaller: 10 or 879/98? 879/98 Which is bigger: -18/1867 or 0? 0 Which is greater: 26377 or 26382? 26382 Which is smaller: -2030 or -2031? -2031 Is -554/73 greater than -8? True Which is bigger: -24305 or -24319? -...
{ "pile_set_name": "DM Mathematics" }
be the third derivative of d**6/15 + d**5/20 + d**4/12 - d**3/2 - 19*d**2 + 17*d. Determine -5*a(x) - 3*l(x). 5*x**3 + 2*x Let b(h) = -h - 1. Let u(r) = -2 + 17 - 2 + 337*r - 335*r. Calculate 3*b(y) + u(y). -y + 10 Let j(m) = m**3 - m**2 - m + 1. Let f(u) = 322*u**3 - 3*u**2 - 3*u + 3. What is -f(b) + 3*j(b)? -319*b**...
{ "pile_set_name": "DM Mathematics" }
((b**3/b)/b)**32/(b**(-2)/b**(-8/3)) assuming b is positive. b**(94/3) Simplify (r**0*r)**(4/13)*(r*r*r/r**0*r)**39 assuming r is positive. r**(2032/13) Simplify n**(-31)/(n*n/(n/n**(-2/3))) assuming n is positive. n**(-94/3) Simplify a/(a/(a**11/a))*a*a**10 assuming a is positive. a**21 Simplify (w/w**(1/4))**(28/3)/(...
{ "pile_set_name": "DM Mathematics" }
4*g - x. Is 6 a factor of g? True Let y(z) = z**2 - z - 3. Let i be y(5). Let d(u) = u**3 - 15*u**2 - 32*u - 10. Let h be d(17). Let n = h - i. Is n a multiple of 2? False Let z = 374 + -91. Let x = -166 + z. Is x a multiple of 15? False Let v = -3 + 13. Suppose -4*w + v = 50. Is (-194)/(-4) + 5/w a multiple of 15? Fal...
{ "pile_set_name": "DM Mathematics" }
lest value in g, -0.2, 2/5, 0? 0 Suppose -90 = 5*u - 40. Let v be (-63)/(-140)*u/(-12). What is the second biggest value in -2/7, 2, v, 1/7? v Let v = -3.03 - -0.03. Suppose -q + 300 = 5*q. Let k = q + -52. What is the biggest value in k, v, -0.5? -0.5 Suppose -3*h + 3*x - 4 + 19 = 0, -24 = -4*h + 5*x. Which is the sec...
{ "pile_set_name": "DM Mathematics" }
-57 Rearrange (4 - 2*f + 6 + 3)*(3*f + f - 2*f) to the form t*f + x + r*f**2 and give t. 26 Express (-2 + 6 - l - 2)*(-56 + 26 + 26) in the form z + y*l and give y. 4 Rearrange 61*a**2 - 16*a**2 + 68*a**2 to the form k*a**2 + n + v*a and give k. 113 Rearrange 10*c**2 + 3*c**4 - c**3 - 13 - 9*c**2 + 11 to the form p*c**...
{ "pile_set_name": "DM Mathematics" }