text
stringlengths
270
8.19k
meta
dict
0 Convert 780.7026 minutes to nanoseconds. 46842156000000 What is 695.4527 nanograms in milligrams? 0.0006954527 What is 11.69794 centuries in decades? 116.9794 What is 2/63 of a week in seconds? 19200 How many millilitres are there in six fifths of a litre? 1200 Convert 78593.84 hours to milliseconds. 282937824000 Wha...
{ "pile_set_name": "DM Mathematics" }
105 * -750 -78750 -0.2 times -6.151 1.2302 Multiply -5 and 0.4919. -2.4595 -466*-92 42872 Calculate 65108*-0.4. -26043.2 Multiply 11951 and -0.2. -2390.2 21 times 25.3 531.3 0.5 * -341437 -170718.5 Product of -15337 and -2. 30674 2 * -56248 -112496 Product of 181 and 5490. 993690 What is the product of -0.15078 and -1....
{ "pile_set_name": "DM Mathematics" }
Sort 23, -7/110, -9, 4, 5 in increasing order. -9, -7/110, 4, 5, 23 Sort -1, 26, 2, -112. -112, -1, 2, 26 Sort 0, 1, 4, -8, -2/39, 23 in descending order. 23, 4, 1, 0, -2/39, -8 Put 1/167, 3, 40 in increasing order. 1/167, 3, 40 Put 0.5, 40, 1178, 2/7 in descending order. 1178, 40, 0.5, 2/7 Sort -2.827, -3, 1, -1/3 in...
{ "pile_set_name": "DM Mathematics" }
ed? 168800 Round -206.413205 to 1 dp. -206.4 Round 0.000453491231 to six dps. 0.000453 What is -403.23827 rounded to the nearest ten? -400 What is -533.85075 rounded to the nearest ten? -530 What is 0.0160742434 rounded to 6 decimal places? 0.016074 Round -0.075837317 to 2 dps. -0.08 What is -6343200 rounded to the nea...
{ "pile_set_name": "DM Mathematics" }
base 9? -608 What is 21214 (base 8) in base 10? 8844 1027 (base 9) to base 10 754 Convert 493 (base 10) to base 5. 3433 What is -2474 (base 14) in base 15? -1d4e 11a (base 16) to base 10 282 10074 (base 11) to base 6 152054 What is -201211 (base 4) in base 11? -1684 425 (base 13) to base 7 2030 Convert -62022 (base 7) ...
{ "pile_set_name": "DM Mathematics" }
ement from nnnssssssnnns. Give prob of picking 2 n. 5/26 Two letters picked without replacement from ukejjkjjxxkjxxxookxo. Give prob of picking 1 e and 1 x. 3/95 Two letters picked without replacement from ccwyzncwzcyzcc. What is prob of picking 2 y? 1/91 Calculate prob of picking 1 q and 1 n when two letters picked wi...
{ "pile_set_name": "DM Mathematics" }
of 6*g**3*o + 17211*g**3 - 494*g**2*o + 3921668*g*o - 5*g - o + 1 wrt g? 36*g*o + 103266*g - 988*o What is the third derivative of 96*f**2*y**3 + 5*f**2*y**2 + 10*f**2*y + 12*f*y**3 - 16*f*y + 22858*y**3 - 3*y**2 - 535*y + 2 wrt y? 576*f**2 + 72*f + 137148 Find the third derivative of -18*m**2*n*x**2 - 6*m**2*n*x - 48*...
{ "pile_set_name": "DM Mathematics" }
sqrt(720))). 27*sqrt(5) + 1619 Simplify -4 + (sqrt(114) + 2*-3*sqrt(114) + sqrt(114))/((1*sqrt(66))/sqrt(11)). -4*sqrt(19) - 4 Simplify sqrt(190)/(4*sqrt(90)) + 5*(sqrt(304) + 2)**2. 961*sqrt(19)/12 + 1540 Simplify (4*((sqrt(125) - (sqrt(125) + 1))*-5 - (-1*sqrt(125) + 0) - (sqrt(125)*-2 + -1)*5))**2. 17600*sqrt(5) + ...
{ "pile_set_name": "DM Mathematics" }
ound d to the nearest 1000. -16000 Let s(h) = -54465*h**2 + 565*h + 1130. Let a be s(-2). What is a rounded to the nearest 1000? -218000 Let b = -105 - -110.7. Let n = -6.56 + b. Let k = 0.11 + n. Round k to 1 dp. -0.8 Let s = 140 + -112. Let t be 6/8 - 175050925/s. Let n = t + 12851818. What is n rounded to the neares...
{ "pile_set_name": "DM Mathematics" }
Let z = m + -0.38. What is z rounded to the nearest integer? -8 Let b = 3098330256039 + -3098348884238.00067. Let l = b - -18628286. Let g = -87 + l. What is g rounded to 4 dps? -0.0007 Let l = 835 + 765. Round l to the nearest 1000. 2000 Let a(i) = -3*i**2 + i**2 + 3*i + i**2. Let j be a(3). Suppose -v + 47 = -3*r - 2...
{ "pile_set_name": "DM Mathematics" }
8 Let b(t) = t**3 - 121*t**2 + 1900*t + 604. Calculate b(19). -118 Let r(h) = 88*h - 1449. What is r(20)? 311 Let h(n) = -12*n**2 - 45*n + 145. Give h(3). -98 Let l(o) = 1041*o - 78518. What is l(78)? 2680 Let t(z) = 312*z - 1943. What is t(7)? 241 Let h(v) = 13*v**2 - 47*v - 14274. Calculate h(35). 6 Let k(w) = w**2 +...
{ "pile_set_name": "DM Mathematics" }
92*d**2*r - 5*d*r - 15583*d wrt d. 24*d**2*r - 6*d + 2184*r Find the third derivative of -3*l**3*p - 47829*l**3 + 2289*l**2 + 21*p wrt l. -18*p - 286974 Find the first derivative of 5*n**4 - 359900*n + 369364. 20*n**3 - 359900 What is the first derivative of 4*q*s**3 - 261326*q*s - s**3 - 61*s**2 - 5*s + 30 wrt q? 4*s*...
{ "pile_set_name": "DM Mathematics" }
a). Let z = 4 + 1. What is n(z)? -5 Let w be (-6)/(-6 - (-5 - 3))*32/(-12). Let x(o) be the second derivative of o**3/6 - 6*o**2 + o. Give x(w). -4 Let m(g) = -416 - 4*g + 5*g + 143 + 136 + 135. Let c be (-6)/(-15) - 16/(-10). Suppose 2*w - c*t - t - 2 = 0, -5*t = -4*w + 6. What is m(w)? 2 Let k(n) = n**3 - 26*n**2 - 2...
{ "pile_set_name": "DM Mathematics" }
41*l - 150. Give i(-2). -260 Let m(s) = 2*s**2 - 20927*s - 167565. What is m(-8)? -21 Let w(v) = -17*v**2 + 201*v - 73. Calculate w(12). -109 Let u(a) = 48956*a + 244782. Determine u(-5). 2 Let z(w) = 77229*w + 386151. Calculate z(-5). 6 Let w(k) = -825958*k - 3303829. Calculate w(-4). 3 Let w(s) = -163*s + 35084. What...
{ "pile_set_name": "DM Mathematics" }
, -0.5 in ascending order. -1, -0.5, 2/779 Put 205, -5, -2 in descending order. 205, -2, -5 Sort -4, 4, 25, 3 in increasing order. -4, 3, 4, 25 Sort -0.4, -1.7, 4, -1/8 in descending order. 4, -1/8, -0.4, -1.7 Sort -5, -1, -137. -137, -5, -1 Sort 0.5, 1, -164, 1/6, -3/8 in decreasing order. 1, 0.5, 1/6, -3/8, -164 Put ...
{ "pile_set_name": "DM Mathematics" }
*3 + d**2 + 3. Determine n(-2). -25 Let f(u) = 452*u - 6332. Give f(14). -4 Let s(w) = w**2 - 9*w + 60. Determine s(31). 742 Let d(c) = c**3 - 4*c**2 - 11*c + 3. Determine d(6). 9 Let h(j) = j**3 - 59*j**2 + 171*j - 170. Determine h(56). -2 Let l(b) = -36*b**3 - 33*b**2 - 34*b - 26. Give l(-1). 11 Let v(b) = 5*b**2 - 1...
{ "pile_set_name": "DM Mathematics" }
Is 26009 composite? True Is 24907 a prime number? True Is 6911 composite? False Is 31669 a prime number? False Is 87337 a prime number? True Is 27831 a composite number? True Is 148514 composite? True Is 3481 composite? True Is 20018 a composite number? True Is 1841 composite? True Is 345503 prime? False Is 34313 a com...
{ "pile_set_name": "DM Mathematics" }
*u(o). Determine r(z(h)). -4*h Let s(v) = 2*v. Let h(m) be the first derivative of -m**2/2 - 4. Determine s(h(d)). -2*d Let c(u) = 27*u**2. Let g(t) = t**2. Calculate g(c(y)). 729*y**4 Let r(y) = -y**2 - y. Let o(b) = 2*b**2 + b. Let a(z) = -2*o(z) - 2*r(z). Let s(u) = -7*u**2. What is a(s(l))? -98*l**4 Let u be (-1)/(...
{ "pile_set_name": "DM Mathematics" }
Let d(g) = -1198*g**4 - 350*g**2 - 8*g - 2. Let w(l) = 4*c(l) - 3*d(l). Find the third derivative of w(x) wrt x. -28752*x What is the second derivative of 517*q - 142*q**4 + 5986*q**4 - 548*q + 2697*q**4 + 2537*q wrt q? 102492*q**2 Differentiate -176*s**2 + 253*s**3 + 1787 - 180*s**2 + 213*s**3 + 356*s**2 with respect...
{ "pile_set_name": "DM Mathematics" }
se 2*w + 7 + 3 = 0, -s + 3*w + 19 = 0. Let r be s/3*(-150)/(-4). Let n be 18/(1 + 0) - -2. What is the greatest common factor of n and r? 10 Let d(n) = 37*n - 4. Let c(r) = r**3 + 12*r**2 - 13*r + 4. Let k be c(-13). Let j be d(k). What is the highest common divisor of 16 and j? 16 Let u be 1/(4 + 909/(-228)). Let z = ...
{ "pile_set_name": "DM Mathematics" }
nominator of a and 91/6? 12 Suppose 0 = 89*l - 88*l - 270. Calculate the common denominator of (-10)/l*67*-1 and -50/27. 27 Let y = -36307803/22 - -1650941. Suppose 432 = -w - 153. Let m = w + y. Find the common denominator of m and 89/2. 22 Let t(i) = i**3 + 9*i**2 - 3*i - 22. Let f be t(-8). Let g = 75 - f. Calculate...
{ "pile_set_name": "DM Mathematics" }
k = l - -87. Is k a prime number? False Let o(z) = z**3 + 30*z**2 + 6*z + 20. Let m be o(-23). Let b = m + -362. Is b prime? False Let k(z) = z + 7. Let x be k(-5). Let q(h) = x - h + 0*h + 267*h**3 - 35*h**3. Is q(1) a composite number? False Suppose 0 = 46*y - 72*y + 488956. Is y composite? True Let j(f) = -5693*f +...
{ "pile_set_name": "DM Mathematics" }
58? 5 What is the hundreds digit of 2260? 2 What is the units digit of 5919? 9 What is the tens digit of 5812? 1 What is the tens digit of 761? 6 What is the hundreds digit of 5400? 4 What is the hundreds digit of 6815? 8 What is the units digit of 1654? 4 What is the units digit of 543? 3 What is the tens digit of 619...
{ "pile_set_name": "DM Mathematics" }
is the second derivative of 17385472*u**3 + 12027345*u? 104312832*u Find the third derivative of 46*v**5 - 2*v**4 + 613212*v**3 + 448*v**2 + v + 15163 wrt v. 2760*v**2 - 48*v + 3679272 Differentiate 2*q*w**2 - 36*q*w + 279984*q + 8*w**2 - 64*w - 6246 wrt q. 2*w**2 - 36*w + 279984 Find the third derivative of 4741*j**6...
{ "pile_set_name": "DM Mathematics" }
(14/(-21))/((-7)/3 - -2). Let m be (-1)/h + (15/6 - -3). Calculate v(m). 1 Let a(x) = x**3 - 5*x**2 - 10*x + 7. Suppose 4*m = -0*j - 2*j - 2, 3*m - 5 = 5*j. Let n be (-18 - -3)/(-3) - j. Determine a(n). -17 Let c(d) = d**2 - 5*d + 10. Let q be c(7). Let j be q/(-2)*(-5)/(-10). Let y(a) = -2*a - 7. Calculate y(j). 5 Let...
{ "pile_set_name": "DM Mathematics" }
41608? 1 What is the thousands digit of 559430? 9 What is the millions digit of 14765639? 4 What is the units digit of 299891? 1 What is the hundreds digit of 1599246? 2 What is the units digit of 198151? 1 What is the thousands digit of 445693? 5 What is the hundreds digit of 16751753? 7 What is the hundred thousands ...
{ "pile_set_name": "DM Mathematics" }
aller: -109566 or -109568? -109568 Is -607528 at most 1/5? True Which is smaller: -5238/101 or -51? -5238/101 Which is greater: -1 or -3/62431? -3/62431 Which is smaller: -0.011 or -735/2? -735/2 Which is smaller: 8 or -656? -656 Are 544 and 680 equal? False Which is smaller: -1 or -241/1655? -1 Which is smaller: 6848 ...
{ "pile_set_name": "DM Mathematics" }
is 0.15 take away 0.00413? 0.14587 Work out -1274.84 - -0.3. -1274.54 181840 - 12 181828 Calculate 15102 + 4. 15106 Put together 2181 and 0.0114. 2181.0114 What is the distance between 10054 and -31? 10085 Subtract -2020 from 2. 2022 What is the distance between 4345996 and 0.5? 4345995.5 0.5 - 50.87 -50.37 Work out -0...
{ "pile_set_name": "DM Mathematics" }
t value? (a) -0.3 (b) 5 (c) -1/4 (d) 0.3 c What is the smallest value in -0.4, 1/37, 8? -0.4 What is the smallest value in -0.5, 3, -45, -5, 0.19? -45 Which is the second biggest value? (a) 5/4 (b) 15 (c) -12 (d) 0.01 (e) -0.3 a What is the second smallest value in 1, -2/3, -14, -3/2, -3? -3 What is the third ...
{ "pile_set_name": "DM Mathematics" }
when 19751782 is divided by 3845. 17 What is the remainder when 764460 is divided by 8588? 128 What is the remainder when 1217329 is divided by 1213673? 3656 Calculate the remainder when 41245740 is divided by 1282. 1236 Calculate the remainder when 30478987 is divided by 32. 11 What is the remainder when 31310 is divi...
{ "pile_set_name": "DM Mathematics" }
(-42)/294)/((-1)/7). 1 What is 3/7*7/(42/(-8))? -4/7 Calculate (((-8)/(-14))/2)/(63/(-49)). -2/9 Calculate (4/(-33))/((-1)/9*-6). -2/11 Evaluate (18/(-2))/3*1*-1. 3 What is ((-8)/(-52))/(-2*(-4)/52)? 1 Evaluate (-12)/(-4)*(-44)/33. -4 -5*(-4)/((-24)/1) -5/6 What is the value of (-140)/(-168)*3/(-20)? -1/8 -3*1*(-72)/54...
{ "pile_set_name": "DM Mathematics" }
1*(0/(-3))/(-3)? 0 What is the value of (-32)/(-16)*-2*1? -4 9/30*-4*(-1)/3 2/5 (-6)/20*(-5)/(-6) -1/4 (8/192*8)/(3/(-3)) -1/3 What is the value of (-108)/108*(-2)/((-2)/(-3))? 3 What is (-1)/((-60)/(-5))*3? -1/4 What is ((-3)/36)/((-52)/(-104))? -1/6 Calculate (4/(-16)*-12)/1. 3 Evaluate -1*((-5)/(-1))/(-1). 5 What is...
{ "pile_set_name": "DM Mathematics" }
d (177 + 16*y - 177)*(-2 + 2 + 2*y). 32*y**2 Expand (-2 - 2 + 18)*(2*v + 3 - 3 - 2). 28*v - 28 Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 12 + 2*l**3 - 12) + 2*l**5 - 3*l**5 + 3*l**5. -2*l**5 + 2*l**4 Expand (1 - 1 + 2*p)*(0 - 4 + 3) - 1 + 1 - p + 5 - 5 + p + (4 + 0 - 2)*(0*p - p + 2*p) + 4 - 4 - p. -p Expand -2*f - 1 ...
{ "pile_set_name": "DM Mathematics" }
(c) -5 c What is the smallest value in -2/15, -1, 0.3? -1 What is the fifth smallest value in 2, -12, 5, 2/3, 0.03? 5 What is the smallest value in 4, 3/10, -0.3? -0.3 What is the third smallest value in 3, 0.3, -0.09, 1? 1 Which is the third biggest value? (a) -0.4 (b) 46 (c) -4/3 (d) 0.02 (e) -2 a What is the th...
{ "pile_set_name": "DM Mathematics" }
se 2. -1011100100101000011000 -1a5308 (base 16) to base 4 -12211030020 Convert -123416343 (base 7) to base 10. -7836699 What is 221001 (base 5) in base 14? 2aca 7a92 (base 12) to base 5 414041 Convert -118338 (base 10) to base 14. -311aa 1132203001 (base 4) to base 10 387265 What is 416a8 (base 14) in base 10? 157732 2...
{ "pile_set_name": "DM Mathematics" }
. Let h be m(-5). Let g = h - -14. Let w be (g/(-4))/(6/12). What is the greatest common factor of 7 and w? 7 Suppose -4*s = -2*s - 6, j - 7 = -2*s. What is the greatest common divisor of j and 2? 1 Let x(r) = 34*r**2 + r. Let o be x(1). Let n = 134 + -57. Suppose -11*u + 0 = -n. What is the highest common factor of u ...
{ "pile_set_name": "DM Mathematics" }
*m - 2*m - 5*m). 132*m**2 Expand 0*s**5 + 2*s**5 + 5*s**5 + 9*s**5 + 14*s**5 - 16*s**5 + (s**2 - s**2 - 2*s**4)*(-s + 4*s + 0*s) + 2*s**3 + s**5 - 2*s**3. 9*s**5 Expand (f - 2*f + 0*f)*(6*f**3 - 6*f**3 - 6*f**4) + (1 - 1 + 2)*(3*f**4 - 5*f**5 - 3*f**4) - 2*f**5 + f**4 - f**4. -6*f**5 Expand (0*o**3 - o**3 + 0*o**3)*(1 ...
{ "pile_set_name": "DM Mathematics" }
1111000120212? -1111000120202 In base 2, what is -11111101001 - -1011? -11111011110 In base 15, what is -59 - 204? -25d In base 10, what is 240 - -4043? 4283 In base 11, what is 50 + -9578? -9528 In base 11, what is 1141105 + -1? 1141104 In base 11, what is 5 + -33791a? -337915 In base 2, what is -100100010110110100000...
{ "pile_set_name": "DM Mathematics" }
991 What is the highest common factor of 894016 and 81344? 64 Calculate the highest common divisor of 95 and 71459. 19 What is the greatest common divisor of 44640 and 192? 96 What is the highest common divisor of 46957646 and 1068? 178 Calculate the highest common divisor of 56353648 and 832. 208 Calculate the greates...
{ "pile_set_name": "DM Mathematics" }
s u in -2*u**5/9 + 8*u**4/3 - 68*u**3/9 - 8*u**2/3 + 70*u/9 = 0? -1, 0, 1, 5, 7 Find u, given that -4*u**5 + 24*u**4 - 28*u**3 - 24*u**2 + 32*u = 0. -1, 0, 1, 2, 4 Factor -3*d**2 + 99*d. -3*d*(d - 33) Suppose 5*u**2 + 16242*u + 6496 = 0. Calculate u. -3248, -2/5 Factor d**3 - 102*d**2 + 99*d + 202. (d - 101)*(d - 2)*(d...
{ "pile_set_name": "DM Mathematics" }
07? 9 What is the hundreds digit of 7390? 3 What is the units digit of 7920? 0 What is the ten thousands digit of 22425? 2 What is the tens digit of 1132? 3 What is the units digit of 976? 6 What is the hundreds digit of 2772? 7 What is the units digit of 605? 5 What is the thousands digit of 3601? 3 What is the units ...
{ "pile_set_name": "DM Mathematics" }
? 4 Let p(i) = -i + 10. Let g be p(3). Let d(j) = 37*j**2 - 22*j**2 + j**3 - g - 15*j**2. Determine d(0). -7 Suppose -5*o + 8*o + 18 = 0. Let u(d) = d**3 + 5*d**2 - 8*d + 1. Calculate u(o). 13 Let b(r) = r**2 - 7*r - 11. Let t be b(8). Let s(h) = h**3 + 2*h**2 - 2*h. Give s(t). -3 Suppose -4*m + 23 = 3*d, d - 3 = 2. Le...
{ "pile_set_name": "DM Mathematics" }
M? 102 How many minutes are there between 4:39 AM and 12:50 PM? 491 How many minutes are there between 5:39 PM and 8:35 PM? 176 What is 142 minutes before 3:48 AM? 1:26 AM What is 391 minutes before 10:11 AM? 3:40 AM What is 223 minutes after 11:08 PM? 2:51 AM How many minutes are there between 7:38 AM and 11:21 AM? 22...
{ "pile_set_name": "DM Mathematics" }
(-29)/(-3) + 2/f? False Let g = -9 - -9. Suppose g = 4*j - 13 - 15. Is j a multiple of 4? False Suppose 9 = -3*y + 6*y. Is y*(2 - 2/6) even? False Suppose 5 = -s + 27. Is 11 a factor of s? True Does 21 divide (-3 - -6)/(2/48)? False Let s = 0 + -1. Does 19 divide ((-1)/2)/(s/114)? True Suppose 5*o - q = 7, -o - 3*q + ...
{ "pile_set_name": "DM Mathematics" }
t i = 6777.7 + -6778. What is the closest to -0.4 in -4, -0.2, i, 1/4? i Let g = -39 + 41. Let z be ((-9)/(-4))/(6/(-16)). Let m be (-568)/(-48) - 1/z. Which is the nearest to g? (a) 2 (b) -3 (c) m a Let r = -6 + 5. Let g = 14 - 9. Let d(n) = -6*n + 87. Let p be d(15). Which is the nearest to r? (a) 0.02 (b) g (c...
{ "pile_set_name": "DM Mathematics" }
14)*(j + 1)**2 Let o be (-4)/(20 + -13 + -5 + -14). Solve o*l**3 + 4/3*l**2 - 1/3*l**4 + 0 - 4/3*l = 0. -2, 0, 1, 2 Let a(u) be the first derivative of 5*u**3/3 - 3525*u**2 + 2485125*u + 530. Find w such that a(w) = 0. 705 Suppose k - a = 5, -2086*k + 2088*k - 8*a = 10. Solve -4*v - 2/3*v**k + 0 - 10/3*v**4 + 14/3*v**3...
{ "pile_set_name": "DM Mathematics" }
11036 is divided by 3580. 296 Calculate the remainder when 260357 is divided by 998. 877 Calculate the remainder when 476005 is divided by 90. 85 What is the remainder when 31523 is divided by 29041? 2482 What is the remainder when 537079 is divided by 498? 235 Calculate the remainder when 1809884 is divided by 32905. ...
{ "pile_set_name": "DM Mathematics" }
three dps? 0.001 Round 195340 to the nearest ten thousand. 200000 What is 22.313 rounded to one dp? 22.3 What is -0.001163 rounded to four decimal places? -0.0012 What is 1.06314 rounded to one decimal place? 1.1 What is 113200000 rounded to the nearest one million? 113000000 Round 80.8 to the nearest ten. 80 What is -...
{ "pile_set_name": "DM Mathematics" }
sor of 9656 and 8023? 71 Calculate the highest common factor of 5763 and 3. 3 What is the greatest common divisor of 1560 and 68718? 78 Calculate the highest common divisor of 121090 and 130. 10 What is the greatest common factor of 305 and 185501? 61 What is the greatest common factor of 185 and 7575? 5 Calculate the ...
{ "pile_set_name": "DM Mathematics" }
the greatest common factor of 1207 and 1955? 17 What is the greatest common divisor of 931848 and 7872? 984 Calculate the highest common divisor of 9911 and 4862. 187 What is the highest common divisor of 30 and 1090? 10 Calculate the greatest common factor of 517194 and 59. 59 Calculate the greatest common divisor of ...
{ "pile_set_name": "DM Mathematics" }
1000370 - 683319. Is j composite? True Suppose -30*t - 28 = 2. Is 57/38 - t/((-6)/(-18645)) composite? False Let m be ((-52)/39)/(2/(-27)). Is (-22316)/(-6)*(m/(-12) - -3) composite? True Suppose 0 = 5*l + l - 12. Suppose 0*a + 4*a = 2*j - 164, -l*a + 4 = 0. Let x = j - 33. Is x a prime number? True Let q(y) = 6*y**2 +...
{ "pile_set_name": "DM Mathematics" }
- 1 = -5, -i + n*r = -7 for i. 1 Suppose -2*c = -6*c - 5*m + 27, -70 = -5*c + m. Let h(i) = c + 3 - i + 0*i. Let k be h(7). Solve 5*x = -3*q + k, 0 = -5*x - 5*q + q + 7 for x. 3 Let g = 21 - 16. Solve -2*f - g*m + 23 = 0, 2*m + 1 = 2*f - 1 for f. 4 Let k(t) be the third derivative of 0*t + 1/12*t**4 - 2*t**2 + 1/60*t*...
{ "pile_set_name": "DM Mathematics" }
-7/2, -0.4, 0.13, -5/2, 60? -7/2 What is the fifth biggest value in 3, -3/2, -177, 179, 0.4? -177 What is the second smallest value in 41, 43/5, -0.5, -358? -0.5 What is the second biggest value in -13, 0.5, -16, 0, -1, 2, 6/19? 0.5 What is the smallest value in -3, -4, -59986, -0.07? -59986 Which is the biggest value...
{ "pile_set_name": "DM Mathematics" }
7620. 2, 3, 5, 131, 5639 What are the prime factors of 177658038? 2, 3, 137, 72043 List the prime factors of 55625446. 2, 27812723 List the prime factors of 32749734. 2, 3, 41, 67, 1987 List the prime factors of 26874077. 26874077 List the prime factors of 1054722530. 2, 5, 105472253 What are the prime factors of 38642...
{ "pile_set_name": "DM Mathematics" }
**2 + 1340*s - 86 What is the f'th term of -43864, -175158, -393884, -700042? -43716*f**2 - 146*f - 2 What is the x'th term of -156351, -155744, -155137, -154530, -153923? 607*x - 156958 What is the q'th term of 90034, 180222, 270410, 360598? 90188*q - 154 What is the d'th term of 6460910, 6460912, 6460914, 6460916, 64...
{ "pile_set_name": "DM Mathematics" }
-f**8/560 + f**6/40 - f**5/20 - 2*f**3/3 + 27*f + 1. Let k(c) be the second derivative of l(c). Factor k(h). -3*h*(h - 1)**2*(h + 2) Let y(c) be the first derivative of 6 + 0*c**4 + 1/12*c**3 - 5*c - 1/40*c**5 + 0*c**2. Let g(i) be the first derivative of y(i). Factor g(l). -l*(l - 1)*(l + 1)/2 Let g(a) be the first de...
{ "pile_set_name": "DM Mathematics" }
+ 25, -2*t = 2*y - 18. Let h = 3 - 0. Suppose -h*n = -y*n + 55. List the prime factors of n. 11 Suppose -2*b + j + 8 = 0, 2*b - 3*b + 5 = -j. Suppose 0 = 5*m + 2*g - 110, -m - 2*m = -b*g - 66. List the prime factors of m. 2, 11 Suppose q + 25830 = 15*q. What are the prime factors of q? 3, 5, 41 Let r = -44 - -235. Lis...
{ "pile_set_name": "DM Mathematics" }
- o**6/120 + 76*o**5/15 + 967*o**3/2 - 22*o**2 - 20. Differentiate k(j) with respect to j. -16*j**3 - 3*j**2 + 608*j Let x(w) be the third derivative of -1189*w**6/120 + 481*w**5/30 - 1088*w**2. What is the third derivative of x(h) wrt h? -7134 Let r(h) be the second derivative of 3949*h**3/6 + 5479*h**2/2 - 3120*h. D...
{ "pile_set_name": "DM Mathematics" }
17346*p**3 + 75203581*p**2 + 150459204*p + 75238276. (p - 8674)**2*(p + 1)**2 Factor -d**3/5 - 9726*d**2/5 + 38916*d/5 - 7784. -(d - 2)**2*(d + 9730)/5 Find c such that 1024*c**4/3 - 259264*c**3/3 - 245149*c**2 - 468910*c/3 - 86528/3 = 0. -2, -13/32, 256 Suppose -3*k**2 - 4134*k + 58464 = 0. What is k? -1392, 14 Factor...
{ "pile_set_name": "DM Mathematics" }
Suppose 3*y = 5*i - 325, -2*i - 49 = x*y - 179. What are the prime factors of i? 5, 13 List the prime factors of (9/6)/(6/1224). 2, 3, 17 Let y = 266 + -95. Let o = y - 88. What are the prime factors of o? 83 Suppose -5*c - 20 = 0, -323 - 1205 = -2*i + 2*c. List the prime factors of i. 2, 5, 19 Let t = 7 - -16. Let q ...
{ "pile_set_name": "DM Mathematics" }
2*r Let r(d) = -4*d**2 - d - 6. Let q(u) = -u - 1. Calculate 3*q(w) - r(w). 4*w**2 - 2*w + 3 Let w(o) = -3*o + 5. Let n(z) be the second derivative of -1/6*z**3 + 0 + 6*z + 1/2*z**2. Determine 4*n(p) - w(p). -p - 1 Let x(m) = -m - 6. Let d be x(0). Let b(g) = -4*g + 5. Let c(w) = -3*w + 4. Give d*c(q) + 5*b(q). -2*q + ...
{ "pile_set_name": "DM Mathematics" }
g. Find the common denominator of -89/4 and d. 28 Let p be (8/14)/(22/(-77)). Calculate the lowest common multiple of p/6 - (-74)/6 and 6. 12 What is the lowest common multiple of -4 + (-63)/(-18)*24 and 88? 880 Let k(d) = d**2 - 3*d - 2. Let w be k(4). Let g(b) = 5*b + 4. Let j be g(w). Suppose -v + 2*v = j. What is ...
{ "pile_set_name": "DM Mathematics" }
an n? False Let v(o) = 5*o**3 - o**2 - o - 1. Let p be v(-1). Let i = p + 10. Let z = -480 + 486. Which is greater: i or z? z Let r = -2195.041 - -2205. Let s = 0.041 + r. Which is smaller: s or 0.5? 0.5 Let p = -17 - -17. Let q be -1 - -2 - (p - 2). Let d be (-2 + 36/20)/q. Which is smaller: d or 0? d Let t = 49023/14...
{ "pile_set_name": "DM Mathematics" }
e the remainder when (2108/(-136))/((42/112)/((-18)/4)) is divided by ((-38)/(-4))/(3/12). 34 Suppose -2*p = -9 - 15. Suppose 19086 - 19374 = -12*d. What is the remainder when d is divided by p? 0 Let s be ((-7)/14)/(5/4370). Let p = s + 529. Calculate the remainder when p is divided by 49. 43 Suppose -21*s + 20592 = 1...
{ "pile_set_name": "DM Mathematics" }
ement from {b: 1, p: 2, t: 3, s: 3, g: 2, k: 4}? 4/1365 What is prob of sequence sczd when four letters picked without replacement from ccscczcsfscdz? 3/1430 Three letters picked without replacement from {c: 2, z: 16}. What is prob of sequence zcz? 5/51 Calculate prob of sequence mtz when three letters picked without r...
{ "pile_set_name": "DM Mathematics" }
ided by 7. 3 What is the remainder when 381 is divided by 128? 125 Calculate the remainder when 30 is divided by 8. 6 Calculate the remainder when 5732 is divided by 13. 12 What is the remainder when 367 is divided by 93? 88 What is the remainder when 653 is divided by 160? 13 What is the remainder when 185 is divided ...
{ "pile_set_name": "DM Mathematics" }
= -5*f + 12. Let v be 1/(-6) + (-2)/(-3). What is the closest to v in u, -0.3, -5? -0.3 Let d be 2/(-7) - (-20)/(-175). Which is the closest to d? (a) -5 (b) -1/4 (c) -1 b Let q(i) = 2*i**3 - 3*i**2 - 3*i. Let n be q(4). Let o = n - 202/3. What is the closest to o in -3, 1, 2/5? 2/5 Let r = -0.8 + -2.2. Let c = -7.6...
{ "pile_set_name": "DM Mathematics" }
: 1, d: 1, z: 2, k: 1}. What is prob of picking 1 k and 2 z? 1/364 Two letters picked without replacement from {h: 1, z: 6, y: 5, q: 3}. Give prob of picking 1 y and 1 h. 1/21 What is prob of picking 2 t and 1 i when three letters picked without replacement from tqrrqlrrrqqtirqqqlt? 1/323 Two letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
2, -6. -6, -1, 2, o Let d = 13 - -122. Let c be (-40)/(-14)*(-4 + d/18). Sort -5, -2, c, 4 in decreasing order. c, 4, -2, -5 Let o be (-1 + -1)*(-6)/(-12). Let x be 19/(-38)*(2/o - -16). Sort 1, x, 2/9, -1 in descending order. 1, 2/9, -1, x Suppose -1 = -5*o + 14. Let p be (6/9)/(-1)*(10/100 - 304/190). Sort -2, p, o, ...
{ "pile_set_name": "DM Mathematics" }
*2 and give v. -123 Rearrange (-27*x**4 - x**2 - 2*x**3 + 12*x**2 + 41*x**4)*(2 - 3 + 0) to the form b*x + q*x**3 + p*x**4 + r + m*x**2 and give m. -11 Rearrange 4 - 2*z - 6 - 16 - 35 + 0 to u*z + p and give p. -53 Rearrange x**2 + 16*x + 5*x**3 + 2 - 1 + x**3 - 9*x**3 + 0 - 2*x**4 to the form n*x**3 + a + h*x**4 + y*x...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 88441688? 8 What is the ten millions digit of 92141986? 9 What is the thousands digit of 102368477? 8 What is the thousands digit of 1653328860? 8 What is the ten thousands digit of 1877038204? 3 What is the units digit of 55503167? 7 What is the millions digit of 915940962? 5 What is the ten...
{ "pile_set_name": "DM Mathematics" }
0)/4 3/2 What is the value of (52/(-12)*3/(-2))/((-797)/(-1594))? 13 What is (3/(-2))/(8/20*15/(-16))? 4 Evaluate (-9)/15 - (-19)/5*2. 7 What is the value of ((-288)/(-108))/(20/(-105))? -14 Calculate -20*108/135 + 754/47. 2/47 What is 1 - (-6 + 35 + -17)? -11 What is 6/(-234)*6 - (-165)/(-1040)? -5/16 What is the valu...
{ "pile_set_name": "DM Mathematics" }
21*p - 18. Let d(t) = -5*i(t) + 4*x(t). Is d(15) a composite number? False Let f(a) be the second derivative of a**5/20 - a**4/2 + a**3/6 - 3*a**2/2 + 2*a. Is f(6) a prime number? True Let n = 72 + 87. Is n a composite number? True Suppose 841 = 5*l + 331. Is (20/(-12))/((-2)/l) composite? True Suppose 5*d = -15, 2*a ...
{ "pile_set_name": "DM Mathematics" }
0 Suppose -2 = s - 7. Suppose 0 = -s*r + 62 - 12. Suppose r*k - 78 = 9*k. What is the remainder when k is divided by 27? 24 Calculate the remainder when 1412 is divided by ((-214)/14)/((-461)/3227). 21 Let k = -5660 + 5701. Calculate the remainder when 895 is divided by k. 34 Let p(z) = z**3 + 21*z**2 - 23*z - 365. Wha...
{ "pile_set_name": "DM Mathematics" }
t of 20043880? 0 What is the hundred thousands digit of 169173? 1 What is the units digit of 204406? 6 What is the ten thousands digit of 455465? 5 What is the ten thousands digit of 7080684? 8 What is the tens digit of 76002? 0 What is the millions digit of 5719188? 5 What is the hundred thousands digit of 116926? 1 W...
{ "pile_set_name": "DM Mathematics" }
(z*z/(z**(-2/61)/z))/z)/z assuming z is positive. z**(-1578353/671) Simplify a*a*a**(-2/11)*a**4*a*a**(-7)*a*a**(3/2)*(a**(-5/3)*a**(-2/5))**28 assuming a is positive. a**(-18331/330) Simplify (((r/r**(-2/17))/(r/(((r*r*r**(-1/2)*r)/r*r)/r*r)))/(r**(-2))**(-20))/((r**(-1/7)*r*r**(2/9))/(r**(3/10)/r**(7/2))) assuming r ...
{ "pile_set_name": "DM Mathematics" }
r when 2951157 is divided by 737788? 5 Calculate the remainder when 50672322 is divided by 22. 8 Calculate the remainder when 1126827 is divided by 30453. 66 Calculate the remainder when 130395 is divided by 8684. 135 What is the remainder when 26684974 is divided by 157? 155 Calculate the remainder when 4757830 is div...
{ "pile_set_name": "DM Mathematics" }
0*t**2 - 2*t**2 + 3 as b*t**3 + u*t + v + a*t**2 + x*t**4 and give u. 1 Express (0 + 2*r + 0 + (2*r + r - 4*r)*(-1 - 8 - 8))*(-41*r**2 - 5*r**2 - r**2) + (4*r - 2*r - r)*(3 + r**2 - 3) as d + n*r**3 + z*r**2 + j*r and give n. -892 Rearrange -2*y - 5*y + 3*y + (7 + 1 - 2 + (0 + 1 + 0)*(-2 + 2 - 1))*(-169 + 172 - 13*y +...
{ "pile_set_name": "DM Mathematics" }
ided by 225. 34 What is the remainder when 7223 is divided by 17? 15 Calculate the remainder when 3327 is divided by 1109. 0 Calculate the remainder when 395 is divided by 59. 41 What is the remainder when 68 is divided by 21? 5 What is the remainder when 133 is divided by 67? 66 What is the remainder when 59 is divide...
{ "pile_set_name": "DM Mathematics" }
*h**4/3 - 2*h**3/3 - 2*h**2 + 6*h. Factor t(m). -4*(m - 1)**2*(m + 1)**3 Suppose -1/4*r**4 + 1/2*r**3 - 1/4*r**2 + 0 + 0*r = 0. Calculate r. 0, 1 Let z(q) be the third derivative of -q**6/132 - 2*q**5/55 - q**4/33 + 4*q**2. Factor z(m). -2*m*(m + 2)*(5*m + 2)/11 Let d = 74 - 128. Let x = 271/5 + d. Solve -9/5*z**4 - x*...
{ "pile_set_name": "DM Mathematics" }
divide 197280? True Does 291 divide 2738601? True Is 1337 a factor of 7215920? False Is 1721708 a multiple of 31? False Does 59 divide 19005611? True Does 780 divide 1348620? True Does 251 divide 43925? True Is 61 a factor of 47009? False Is 78988 a multiple of 26? True Does 220 divide 1700600? True Is 2667407 a multi...
{ "pile_set_name": "DM Mathematics" }
ce hjb. 3/280 Calculate prob of sequence alhf when four letters picked without replacement from {b: 1, f: 1, l: 1, h: 1, a: 2, c: 1}. 1/420 Two letters picked without replacement from {u: 2, f: 10}. What is prob of sequence uf? 5/33 Two letters picked without replacement from {z: 2, b: 1, h: 8, m: 2, k: 1}. Give prob o...
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from {j: 7, p: 1, h: 4, c: 1}? 1/715 Two letters picked without replacement from llnllnl. Give prob of sequence nl. 5/21 Two letters picked without replacement from {j: 8, x: 5}. What is prob of sequence xx? 5/39 Calculate prob of sequence xxaa when four letters picked without replacement f...
{ "pile_set_name": "DM Mathematics" }
d the first derivative of -42*b - 14*b + 264 - 42*b - 169*b - 440*b wrt b. -707 Let z(s) = s**2 - 7*s - 47. Let o be z(11). Let g(c) = -6*c - 11. Let f be g(o). Find the first derivative of -3 + f*r**4 + 10*r**4 - 4*r**4 - 2 wrt r. 52*r**3 Suppose 4*h - y - 3 = 0, -h + y = h + 1. Find the third derivative of -47*q + 95...
{ "pile_set_name": "DM Mathematics" }
-5 in ascending order. -7, -5, -3, -1, 3 Put -1/2, -0.02, -3, 0.3 in increasing order. -3, -1/2, -0.02, 0.3 Sort -2, 0.2, 5, 1/12 in decreasing order. 5, 0.2, 1/12, -2 Sort 0, -3, -1/12, -0.1 in descending order. 0, -1/12, -0.1, -3 Sort -2/41, -4, -3, -15/11 in ascending order. -4, -3, -15/11, -2/41 Sort 0.01, -0.2, -6...
{ "pile_set_name": "DM Mathematics" }
+ 62 What is the n'th term of -44, -86, -156, -254, -380? -14*n**2 - 30 What is the c'th term of 22, 51, 80, 109? 29*c - 7 What is the a'th term of 44, 67, 136, 275, 508, 859, 1352? 4*a**3 - a**2 - 2*a + 43 What is the s'th term of 69, 296, 675, 1206, 1889, 2724? 76*s**2 - s - 6 What is the y'th term of 142, 281, 420, ...
{ "pile_set_name": "DM Mathematics" }
y + v + t*y**2 and give t. -13 Rearrange 2*a**4 - 4*a**3 + 6*a**2 - 3*a**3 - 3*a**2 to the form f*a**4 + j*a + b + u*a**2 + w*a**3 and give w. -7 Express (-2*a + a - a)*(-5*a**2 + a**2 + 5*a + 5*a**2 - 1)*(2*a - 4*a + 0*a) in the form c + u*a**2 + g*a**4 + w*a**3 + b*a and give w. 20 Rearrange n**2 - 3*n**2 + 6*n**2 - ...
{ "pile_set_name": "DM Mathematics" }
-3114 divided by 4 -1557/2 What is 10 divided by 63? 10/63 Calculate -11913 divided by 3. -3971 What is -822 divided by -5? 822/5 453 divided by 151 3 Divide -20613 by -6871. 3 Divide 162 by 18. 9 What is 282 divided by -141? -2 -3068 divided by 3 -3068/3 Calculate -124 divided by 62. -2 -9020 divided by -2255 4 Divide...
{ "pile_set_name": "DM Mathematics" }
he next term in -534, -2133, -4798, -8529, -13326, -19189? -26118 What is next in 142, 212, 282? 352 What is next in -372, -745, -1120, -1497? -1876 What comes next: -11, -31, -51, -71, -91? -111 What comes next: -269, -271, -279, -299, -337? -399 What is the next term in 578, 570, 550, 512, 450, 358, 230, 60? -158 Wha...
{ "pile_set_name": "DM Mathematics" }
he m'th term of -1895669, -3791345, -5687025, -7582709, -9478397, -11374089, -13269785? -2*m**2 - 1895670*m + 3 What is the y'th term of 10055, 40324, 90769, 161390, 252187, 363160, 494309? 10088*y**2 + 5*y - 38 What is the q'th term of -63757, -127491, -191219, -254941, -318657, -382367, -446071? 3*q**2 - 63743*q - 17...
{ "pile_set_name": "DM Mathematics" }
l(i) = 184*i**2 + 1112*i + 7. Let s be l(-6). Let w(x) = 4*x**2 + 168*x + 170. Calculate w(s). 6 Let f = 687 + -680. Let x(t) be the first derivative of t**4/4 - 8*t**3/3 + t**2/2 - t - 125. What is x(f)? -43 Let x(y) = -3*y**2 - 12*y - 2. Suppose 221*v + 116 = 192*v. Give x(v). -2 Let o(x) = 2*x**3 - 28*x**2 + 6*x + ...
{ "pile_set_name": "DM Mathematics" }
x (b) q (c) 4 c Let s = 0.18 + -0.38. What is the second biggest value in s, 1, 0.3? 0.3 Let p be ((-2)/(-1))/(-4 + 1). Let c = -0.055 + 0.055. What is the third smallest value in c, -0.04, p? c Let d = 9.2 - 9. Let v = -1 - 0. Which is the third biggest value? (a) -1/8 (b) v (c) d b Let y = -105 - -104.9. What is...
{ "pile_set_name": "DM Mathematics" }
= o + -24. Let k = -8 - -16. What is the remainder when x is divided by k? 7 Suppose -16 = -0*b - 4*b. Suppose 2*d + 5*w + b = 0, 29 = 5*d - 3*w - 23. What is the remainder when 21 is divided by d? 5 Let l(v) = -12*v**3 - v**2 - v - 1. Calculate the remainder when (-1)/(((-4)/248)/(1/2)) is divided by l(-1). 9 Let q = ...
{ "pile_set_name": "DM Mathematics" }
(u)). 2*u**2 Let x(z) = -z. Let i(c) = 3076*c. What is i(x(o))? -3076*o Let p(b) = b**2 + 11*b + 2. Let i be p(-11). Let s(x) = i*x - 2*x + x. Let c(n) = 12*n - 7. Let d(r) = 4*r - 2. Let m(g) = 2*c(g) - 7*d(g). Determine m(s(u)). -4*u Let m(n) = -2*n**2 - 10*n. Let r(w) = 13*w**2. Calculate m(r(d)). -338*d**4 - 130*d*...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 11 Suppose -341742 = -4*w - 4*b - 3614, -3*w + b + 253584 = 0. Let k(m) = -13133*m**2 + m + 1. Let d be k(2). Let x = w + d. Round x to the nearest 10000. 30000 Let s = -0.866 - -0.8650748. Round s to five dps. -0.00093 Let j = -947.26355 - -986.262. Let i = 39 - j. Round i to 4 dps. 0.0016 Let v ...
{ "pile_set_name": "DM Mathematics" }
Let i = -111 + 201. What is the units digit of i? 0 Suppose -4*g - 4 = -l, 3*l + 28 = -4*g - 2*l. Let p = 2 + g. Suppose p = -2*c + 6 - 0. What is the units digit of c? 3 Let m = 496 - 281. What is the tens digit of m? 1 Let c(k) = -17*k + 59. What is the units digit of c(-6)? 1 Let g = 207 + -97. What is the tens dig...
{ "pile_set_name": "DM Mathematics" }
hat -1/3*n**3 - 1/3*n**2 + 1/3*n + b = 0. -1, 1 Factor -6/5*c + 4/5 + 2/5*c**2. 2*(c - 2)*(c - 1)/5 Let u(b) be the first derivative of -b**7/210 + b**6/60 - b**5/60 - 5*b**2/2 - 2. Let i(p) be the second derivative of u(p). Determine d, given that i(d) = 0. 0, 1 Let o(h) be the second derivative of -h**5/30 + h**4/18 ...
{ "pile_set_name": "DM Mathematics" }
a(m) = 117*m - 1806. What is the remainder when a(17) is divided by 23? 22 Suppose -2*t + 2*o = -4, 3 - 18 = -5*o. Suppose 16 = 3*p + p, -2*f - t*p + 944 = 0. What is the remainder when f is divided by 31? 28 Suppose -12*m = -7*m + 4*a - 11, -2*a + 1 = m. What is the remainder when 3926 is divided by m? 2 Let a = 49 - ...
{ "pile_set_name": "DM Mathematics" }
t common factor of 12 and a? 12 Suppose -24 = -2*m + 6*m. Let h(f) = -f**2 - 1. Let k be h(m). Let s = k - -202. What is the greatest common divisor of s and 15? 15 Let z(w) = 57*w**2 + w. Let m be z(-1). What is the greatest common divisor of 7 and m? 7 Suppose -80 - 22 = -2*d. Suppose -4*j - 11 = -d. What is the high...
{ "pile_set_name": "DM Mathematics" }
*2 - n**2*r**2 - n*r**2 + 84682*n + r**2 wrt n? 5856426*j**2*r**2 + 180*j*r**2 What is the third derivative of -13384948*q**3 + 20767629*q**2 wrt q? -80309688 What is the second derivative of 14352613*u**2 + u + 2526797 wrt u? 28705226 What is the derivative of 1089*d**2*t**3 + 137922056*d**2 + 36272*t**3 wrt t? 3267*d...
{ "pile_set_name": "DM Mathematics" }