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s the remainder when 98/o*(-12)/7 is divided by 11? 9 Let w = 53 + -12. What is the remainder when w is divided by 22? 19 Let h = -51 + 65. What is the remainder when 97 is divided by h? 13 Suppose 4 = -2*f - 6, 0 = -5*j + f + 215. Calculate the remainder when (6/4)/(3/j) is divided by (-33)/2*(-2)/3. 10 Let x(s) = -s ...
{ "pile_set_name": "DM Mathematics" }
e square root of 805863 to the nearest integer? 898 What is the sixth root of 2351408 to the nearest integer? 12 What is 29812648 to the power of 1/10, to the nearest integer? 6 What is 156797 to the power of 1/2, to the nearest integer? 396 What is 29919436 to the power of 1/8, to the nearest integer? 9 What is 577504...
{ "pile_set_name": "DM Mathematics" }
+ 3 + 3). -176*s Expand 36*l + 2*l**5 - 36*l - 1 - 4*l**4 + (2*l**3 - 2*l**3 + l**3)*(-l**2 - 3*l + 3*l). l**5 - 4*l**4 - 1 Expand (1 + 19*q - 44*q + 20*q)*(-4 + 4 + 2*q + q - q + 2*q + 4 + q - 4 - 4*q + 0*q + 3*q + (0*q + 0*q + q)*(-3 - 1 + 2) + 5*q - 2*q - 4*q). -5*q**2 + q Expand (-2*f**2 - f**2 + 4*f**2)*(f**2 - 3*...
{ "pile_set_name": "DM Mathematics" }
g = 2*k + k + 3*z - 3, 0 = 2*k - z + 4 for k. -1 Suppose -2*v = 4*m - 4, 3*m + v + 1 = 6. Solve 3*q - 24 = -3*h, 0 = -2*h + m*q - 7*q + 26 for h. 3 Suppose -2*o - 4*s + 8 = 0, 1 - 6 = -o - 3*s. Suppose -5*c = -3*d - o, -c + 22 = 4*d - d. Solve -d = 4*n - 2*l, -n + 0*l = -l for n. -3 Let k(j) = j**3 - 4*j**2 - 4. Let y ...
{ "pile_set_name": "DM Mathematics" }
+ (-7 - -4) + 12) 0 What is -3 - (-5 + (-7 - (5 - 17)))? -3 What is the value of -6 + (-5 - (-14 + 4))? -1 Evaluate -2 + (5 - -4) + 27 + -37. -3 Calculate 1 + (1 - (-3 - (-7 + -1))). -3 Evaluate -3 + (3 + -6 - -3 - 0). -3 Calculate (30 - 35) + (1 - (-2 + 4)). -6 Evaluate (-7 - -11 - 1) + -6 + -2. -5 Evaluate (8 - -6) ...
{ "pile_set_name": "DM Mathematics" }
and -x + 0*x + 3*x + (0 - 4 + 2)*(2*x + x - x) - 39*x + 32*x - 205*x. -214*x Expand -35*r**5 - 8*r**5 - 5*r**5 - 106*r**5 + (0*r + 0*r + r**5)*(-14 + 23 + 16). -129*r**5 Expand -913*h + 0*h**5 + 3*h**5 + 914*h + (4*h**5 - 3*h**5 + 0*h**5)*(2 + 0 - 4) + h**5 + 5*h - 5*h. 2*h**5 + h Expand (0*f**2 + 0*f**2 - f**2)*(-110*...
{ "pile_set_name": "DM Mathematics" }
2 - v + 2. Let k be p(-1). Let h be q(k). What is h rounded to the nearest one thousand? -6000 Let w = -358.69331224 - -2.69341524. Let q = w - -356. What is q rounded to 5 dps? 0.0001 Let a = 9 - 7. Let g(z) = -7328*z - 1 - 29997*z - 1 - 39674*z. Let o be g(a). Round o to the nearest 10000. -150000 Let y = -34388 + 34...
{ "pile_set_name": "DM Mathematics" }
6828 What is 3/50 of a gram in micrograms? 60000 How many micrograms are there in fifty-five quarters of a milligram? 13750 Convert 78630.53g to tonnes. 0.07863053 How many millilitres are there in 395.66l? 395660 How many micrograms are there in 1/20 of a milligram? 50 What is 42/5 of a meter in centimeters? 840 What ...
{ "pile_set_name": "DM Mathematics" }
1110 What is -1221a4e (base 15) in base 3? -220111022001002 -47025 (base 11) to base 2 -10000100101000100 Convert 4a95a (base 12) to base 3. 12011100121 2110b8 (base 16) to base 4 20101002320 What is -8167302 (base 9) in base 16? -4274db Convert -2b7625 (base 12) to base 4. -2310112331 Convert 68a76a (base 13) to base ...
{ "pile_set_name": "DM Mathematics" }
Let t(i) = 12455*i - 124558. What is t(10)? -8 Let r(p) = -36*p - 6041. Calculate r(-211). 1555 Let k(y) = 2042*y + 8923. What is k(-5)? -1287 Let w(x) = -919617*x + 1839219. Determine w(2). -15 Let w(s) = -891*s - 93280. Give w(-105). 275 Let z(u) = -7918*u - 213825. Calculate z(-27). -39 Let h(f) = -18792*f - 7253716...
{ "pile_set_name": "DM Mathematics" }
wrt k. 39745772 What is the third derivative of 2080*d**2*k**3 + d**2*k**2 + d**2*k - 35067*d*k**2 + 1837*k**3 + 2 wrt k? 12480*d**2 + 11022 What is the derivative of -48245384*u**2 - 246806347 wrt u? -96490768*u What is the derivative of -971381*m**2 - 2*m + 6190230? -1942762*m - 2 What is the second derivative of 71...
{ "pile_set_name": "DM Mathematics" }
n 251 is divided by 11. 9 Calculate the remainder when 126 is divided by 8. 6 What is the remainder when 296 is divided by 23? 20 Calculate the remainder when 1731 is divided by 50. 31 What is the remainder when 385 is divided by 111? 52 What is the remainder when 651 is divided by 7? 0 Calculate the remainder when 47 ...
{ "pile_set_name": "DM Mathematics" }
the nearest ten thousand. 40000 Round -123184.2552 to the nearest 10. -123180 Round 0.01461241 to five dps. 0.01461 What is 836730.22 rounded to the nearest one thousand? 837000 What is 47743.6881 rounded to the nearest ten? 47740 Round 45.48344176 to the nearest ten. 50 Round -36159238.65 to the nearest 10000. -361600...
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from {v: 5, i: 5}. 5/21 What is prob of picking 2 c and 1 i when three letters picked without replacement from iiwcicciiiciw? 21/143 Calculate prob of picking 2 q when two letters picked without replacement from qqlllllqqllqqqll. 7/40 Three letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
b be r(-8). Suppose -u + 4*u = b. Is 446*(u - -2)/4 a composite number? False Let p = 1476 + -727. Is 1 + p - (5 + -8) composite? True Let k(x) = 22*x**2 - 75*x - 10. Is k(-33) prime? True Is (297280/(-128))/((-1)/2) a prime number? False Suppose 30*h = 29*h + 4*a + 6289, 2*h = -2*a + 12598. Is h composite? True Let f ...
{ "pile_set_name": "DM Mathematics" }
t of (j/20)/(1/5)? 6 What is the tens digit of (-40 - 1)*-2 - (-8)/2? 8 What is the units digit of (7/3)/((-7)/(-63))? 1 Let m be 5/2 - (-5)/(-10). Suppose m*z - 16 = -2*z. What is the units digit of z? 4 Let s be (-3 - -4 - 1)*-1. Suppose s = t + t - 46. What is the units digit of t? 3 Let o be 0 - (-1 + (-1 - 11)). L...
{ "pile_set_name": "DM Mathematics" }
+ 49*t. 10*t - 2 Collect the terms in -4*r**3 + 3*r**3 + 8*r + 7*r. -r**3 + 15*r Collect the terms in 69*x**2 - 167*x**2 + 74*x**2. -24*x**2 Collect the terms in -37 + 3*n + 3*n - 2*n - 2*n. 2*n - 37 Collect the terms in 1 - 4*j**2 + 2 - 3 - 5. -4*j**2 - 5 Collect the terms in -135*k + 270*k - 126*k. 9*k Collect the t...
{ "pile_set_name": "DM Mathematics" }
228330 to the nearest 1000000. -10000000 Round 0.00423359 to 4 dps. 0.0042 Round -2.7976478 to three decimal places. -2.798 What is -337494 rounded to the nearest 100000? -300000 What is 31518.16 rounded to the nearest one hundred? 31500 What is -32.81538 rounded to one decimal place? -32.8 What is -5961.94 rounded to ...
{ "pile_set_name": "DM Mathematics" }
be root of 1110970 to the nearest integer? 104 What is the square root of 1176378 to the nearest integer? 1085 What is the third root of 4255652 to the nearest integer? 162 What is 726474 to the power of 1/2, to the nearest integer? 852 What is the third root of 6214103 to the nearest integer? 184 What is 339733 to the...
{ "pile_set_name": "DM Mathematics" }
he remainder when 33206 is divided by 10696? 1118 Calculate the remainder when 780842 is divided by 445. 312 What is the remainder when 1942149 is divided by 322? 167 Calculate the remainder when 1492410 is divided by 186551. 2 Calculate the remainder when 581205 is divided by 2863. 16 Calculate the remainder when 1158...
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from bxsbbsabsxbsbxbs. 3/56 Calculate prob of picking 1 w, 1 r, 1 v, and 1 z when four letters picked without replacement from zvaharhwv. 1/63 Calculate prob of picking 2 l and 1 b when three letters picked without replacement from lhlhhhlhbl. 1/20 Three letters picked without r...
{ "pile_set_name": "DM Mathematics" }
100 + -11101? -1001110111001 In base 10, what is -66 + 37280? 37214 In base 3, what is 1020 + 21010101? 21011121 In base 14, what is 0 + b3112? b3112 In base 15, what is 10 + 683? 693 In base 14, what is 5 - 1016? -1011 In base 5, what is -104 - 4224413? -4230022 In base 5, what is -14003 - 1131? -20134 In base 13, wha...
{ "pile_set_name": "DM Mathematics" }
52. -4*n**2 Collect the terms in -x**2 + 3*x**2 - x**2 + 3*x**2. 4*x**2 Collect the terms in -2*t**2 + 7647 - 7647 + 6*t**2 - 2*t**2. 2*t**2 Collect the terms in -24*a - 11*a + 36*a. a Collect the terms in 0*y**3 - y**3 + 4*y**3 - 6*y**3. -3*y**3 Collect the terms in z + 811 - 811 - z**3 - z. -z**3 Collect the terms in...
{ "pile_set_name": "DM Mathematics" }
Is 19 a factor of g(u)? False Suppose -8 - 14 = -v. Let d(h) = h - 80. Let f(i) = -2*i + 183. Let k(o) = -5*d(o) - 2*f(o). Is k(v) a multiple of 3? True Is 10710 - 36*1/(-4) a multiple of 61? False Let d(a) = 5*a**2 - 33*a + 100. Is 25 a factor of d(25)? True Let g(j) = j**3 + 69*j**2 - j - 72. Let w be g(-69). Let h(...
{ "pile_set_name": "DM Mathematics" }
g**2 + 85*g = 0. -2, -1, 1, 23 Let -125*w - 117/4*w**3 - 119*w**2 - 8 = 0. What is w? -2, -8/117 Let n be ((-1)/13)/(((-192)/(-104))/(-4)). Let d(x) be the second derivative of -n*x**2 + 0 - 1/18*x**4 - 20*x - 1/4*x**3. Determine w so that d(w) = 0. -2, -1/4 Let j(w) be the first derivative of -w**7/2520 + w**6/135 - 1...
{ "pile_set_name": "DM Mathematics" }
+ 0*u**3 + u**2 + 0. Let h(f) = 19*f**2. Calculate h(z(n)). 19*n**2 Let z(p) = -3744*p**2 + 18720*p. Let m(n) = -n**2 + 3*n. Let l(k) = 6240*m(k) - z(k). Let x(s) = s. Give x(l(g)). -2496*g**2 Let g(u) = 1 + 3 - 2*u**2 + 6*u**2 - u**2. Let b(s) be the second derivative of -s**3/3 + 495*s. Give g(b(d)). 12*d**2 + 4 Let...
{ "pile_set_name": "DM Mathematics" }
-1.2. Let a = r + h. What is a rounded to two dps? -0.01 Let d = -3.6169 - 0.0531. What is d rounded to the nearest integer? -4 Let a = -308.69 - -279.5. Let l = a + 29. What is l rounded to one dp? -0.2 Let z = -9191 + 9191.01799995. Let j = -0.018 + z. Round j to seven decimal places. -0.0000001 Suppose -2*h - 88 = ...
{ "pile_set_name": "DM Mathematics" }
3*y + 68 - 2*y**3 + 0*y as p + x*y**3 + l*y + f*y**2 and give l. 3 Express -1144*z**3 + 2223*z**3 - z**2 - 724*z**3 as k*z**3 + p + c*z**2 + h*z and give k. 355 Express 2*j - 4*j - 2*j + j + 0*j**3 + 2*j**3 + 6 as v*j**3 + a + z*j + l*j**2 and give a. 6 Express -l**2 + 59*l**4 + 2*l**2 + 4*l - 5*l + 87 - 85 in the for...
{ "pile_set_name": "DM Mathematics" }
k when four letters picked without replacement from {k: 7, s: 5, b: 1}? 7/143 What is prob of picking 1 t and 1 h when two letters picked without replacement from {t: 2, l: 2, h: 7, x: 1}? 7/33 What is prob of picking 1 d, 1 m, and 1 q when three letters picked without replacement from {k: 1, d: 1, s: 1, q: 4, m: 2}? 2...
{ "pile_set_name": "DM Mathematics" }
? 0.0001 Let r = 1 + -0.72. Let d = 22.28 - r. Let f = -20.2 + d. What is f rounded to zero decimal places? 2 Let h = -52.54 + 56. What is h rounded to one dp? 3.5 Let n = 7.07 - 7. Let g = -108.5 - -108.4323. Let w = g + n. Round w to 3 dps. 0.002 Let b = 168 + -565. Let m = -397.0000173 - b. Round m to six dps. -0.00...
{ "pile_set_name": "DM Mathematics" }
199/8 + 273. Calculate the common denominator of 93/22 and k. 88 Suppose -4*g = 2 - 18. Suppose -3*y = s + 36, -g*y + 112 = -5*s + s. Let z = s - -52. What is the smallest common multiple of z and 14? 154 Let z = -134 + 74. What is the common denominator of (-9)/12*292/66 and 161/z + (-2)/(-6)? 220 Let k = -43/36 - -66...
{ "pile_set_name": "DM Mathematics" }
14 < -98285? True Which is smaller: -350091 or -350206? -350206 Is -477 at most as big as 1145884? True Which is greater: 0 or -38817? 0 Which is bigger: -1239081599 or -1239081600? -1239081599 Which is smaller: -1247710 or -1247719? -1247719 Are -2348260 and 131 unequal? True Do -1 and -19/197652 have the same value? ...
{ "pile_set_name": "DM Mathematics" }
{a: 5, t: 9}. What is prob of picking 1 t and 1 a? 45/91 Three letters picked without replacement from ixgim. What is prob of picking 2 i and 1 m? 1/10 Two letters picked without replacement from snnspfs. Give prob of picking 1 f and 1 n. 2/21 Calculate prob of picking 2 f and 2 a when four letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
3 - -6. Suppose 2*t - 4*m - 66131 = 53881, 2*t + p*m = 119991. Let a be t/(-9)*(-252)/8. What is a rounded to the nearest one hundred thousand? 200000 Let d = 3 + -3. Suppose 3*h + 4*i = -39008, d*i - 3*i = -5*h - 64994. What is h rounded to the nearest 10000? -10000 Suppose -48 = y - 4*y. Let g be 1/(-4) - (-52)/y. Su...
{ "pile_set_name": "DM Mathematics" }
p - 11 - 14. Let o(k) = k + 5. Let i be o(p). Is i not equal to 0? False Suppose -7 = -2*c + g - 0*g, 0 = -c + 5*g - 1. Suppose x - 5*u + c = 0, -2*u - 1 + 2 = -x. Which is greater: x or -2/13? x Let t = 223/36 - 43/9. Let q = t - 5/3. Let j be (3 + -1 - 3) + 0. Are j and q equal? False Let w be ((-1)/3*0)/1. Suppose 5...
{ "pile_set_name": "DM Mathematics" }
f 92 and 3496. 92 What is the highest common factor of 17680 and 34? 34 Calculate the highest common factor of 3900 and 13. 13 Calculate the highest common factor of 10 and 2080. 10 What is the highest common factor of 48 and 15536? 16 What is the highest common divisor of 21 and 273? 21 Calculate the highest common fa...
{ "pile_set_name": "DM Mathematics" }
PM? 6:17 AM How many minutes are there between 4:13 PM and 4:40 PM? 27 How many minutes are there between 11:41 PM and 8:26 AM? 525 How many minutes are there between 6:43 PM and 6:38 AM? 715 How many minutes are there between 2:30 PM and 3:20 PM? 50 How many minutes are there between 7:01 AM and 2:29 PM? 448 What is ...
{ "pile_set_name": "DM Mathematics" }
05453941 0.076355174 Multiply 12 and 2034980. 24419760 What is 0.2 times -7796905? -1559381 Multiply -0.2696973 and -124. 33.4424652 Calculate 1120*-32.99. -36948.8 -1110.2371 times -2 2220.4742 -0.1 times 7919671 -791967.1 What is 0 times 254.25585? 0 11.1296*-175 -1947.68 Multiply -279086 and -1132. 315925352 What is...
{ "pile_set_name": "DM Mathematics" }
True Is 8032739303 a composite number? False Is 371500637 prime? False Is 583731713 a composite number? True Is 8124679819 a prime number? True Is 6180277559 a prime number? False Is 7098119647 composite? True Is 382354963 composite? True Is 314922319 a prime number? True Is 166140070583 a composite number? False Is 9...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from iimookmmkiiiioe. 1/910 What is prob of sequence pio when three letters picked without replacement from {o: 1, l: 1, r: 1, p: 1, i: 1}? 1/60 Two letters picked without replacement from {e: 10}. Give prob of sequence ee. 1 What is prob of sequence bbab when four letters picked withou...
{ "pile_set_name": "DM Mathematics" }
the tens digit of 103495? 9 What is the hundred thousands digit of 306713? 3 What is the units digit of 152094? 4 What is the thousands digit of 169037? 9 What is the ten thousands digit of 316872? 1 What is the ten thousands digit of 443841? 4 What is the ten thousands digit of 134198? 3 What is the ten thousands digi...
{ "pile_set_name": "DM Mathematics" }
. What are the prime factors of b? 2, 3, 5 Let q = -101 + 157. List the prime factors of q. 2, 7 Let n(a) = 88*a**2 + a + 2. Let r be n(2). List the prime factors of (-2)/(r/(-116) + 3). 29 Suppose -5*t - 36 = 4*n - 5, 14 = 2*t - 5*n. Let b(q) = -q. List the prime factors of b(t). 3 Let c = 23 - 18. Let g = 42 - c. Lis...
{ "pile_set_name": "DM Mathematics" }
f) = -f**2 + 6*f + 13. Let b be p(6). Let a be (816/(-60))/(1/(-110)). Suppose b*y = 5*y + a. Is y a multiple of 32? False Let q = -5847 + 12503. Does 64 divide q? True Let y(g) = 2*g**3 - 16*g**2 + 49*g - 431. Does 8 divide y(13)? True Let y = -583 - -658. Suppose -70*j - 675 = -y*j. Is j a multiple of 5? True Suppose...
{ "pile_set_name": "DM Mathematics" }
54) - 3*sqrt(96)). 2*sqrt(5)/9 Simplify sqrt(1584)*2 + 4 + (4*2*sqrt(1584) - sqrt(1584)) - (-4*(sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 1 + sqrt(1584)))))**2*-3. 2412*sqrt(11) + 304180 Simplify ((sqrt(1584)*-1 - sqrt(1584))**2 - (-2 + sqrt(22)/sqrt(2))**2) + ((sqrt(99) + sqrt(99) + -1*sqrt(99))/sqrt(9) - (5 + sqrt(176...
{ "pile_set_name": "DM Mathematics" }
2*g**2 + 38. -2*g**2 Collect the terms in 4*n**2 + 9*n**2 - 16*n**2 - 24*n**2 - 32*n**2. -59*n**2 Collect the terms in 809*b**2 - 2439*b**2 + 4005 - 4005 + 820*b**2 + 815*b**2. 5*b**2 Collect the terms in 104*f**2 + 104*f**2 - 94*f**2 + 1 + 148*f**2 - 3*f - 2*f. 262*f**2 - 5*f + 1 Collect the terms in -151*h**2 + 24*h...
{ "pile_set_name": "DM Mathematics" }
. Suppose 0 = 5*l - p - 9, i = p + 2*p. Calculate the smallest common multiple of l and 4. 4 Let m = 25/26 - -243/65. What is the common denominator of m and 73/6? 30 Let s = 2573/22 - 117. Find the common denominator of -113/48 and s. 528 Let m = -78817/20 - -3937. What is the common denominator of m and -35/16? 80 Le...
{ "pile_set_name": "DM Mathematics" }
8. What is n rounded to the nearest 10? 0 Suppose 5*z - 1160 = 3*z. Round z to the nearest 100. 600 Let f(c) = 222*c**2 - 17*c - 49. Let z be f(-11). Round z to the nearest ten thousand. 30000 Let a = 54347 - 54348.52902. Let x = a - 0.07938. Let d = x + 1.6. What is d rounded to 3 decimal places? -0.008 Let o = -92.3...
{ "pile_set_name": "DM Mathematics" }
2 - 6*m + 3. Let q be n(6). Suppose 2*j - 6 = q*j. Let b(w) = -w**3 - 6*w**2 - 2*w - 8. Calculate b(j). 4 Let x = 13 + -13. Let h(n) = n**3 - n**2 + n - 13. What is h(x)? -13 Suppose -2*p - 24 = 4*y, -4*p + 13 = -5*y - 4. Let a(n) = -2*n - 2. Give a(y). 8 Let j(s) = 104*s + 51. Let t(y) = 35*y + 17. Let r(h) = 3*j(h) -...
{ "pile_set_name": "DM Mathematics" }
8.5 - 18798. Which is the biggest value? (a) s (b) 0.4 (c) -1/6 (d) 0.09 (e) -8 a Let i = -60 - -3. Let l = -55.3 - 1.9. Let v = i - l. What is the smallest value in v, 3/4, 3, 4? v Let o be ((-340)/(-8))/17*(0 - (-2)/(-10)). What is the biggest value in 2/17, -2/7, 1, -9/2, o? 1 Let q = -659695618/623 + 1058901. ...
{ "pile_set_name": "DM Mathematics" }
term of 19, 42, 81, 136? 8*b**2 - b + 12 What is the y'th term of -62, -93, -114, -119, -102, -57? y**3 - y**2 - 35*y - 27 What is the l'th term of 3, 28, 79, 168, 307, 508? 2*l**3 + l**2 + 8*l - 8 What is the v'th term of 19, 24, 41, 76, 135, 224, 349, 516? v**3 - 2*v + 20 What is the w'th term of 21, 39, 91, 195, 36...
{ "pile_set_name": "DM Mathematics" }
m - 3. Let u(c) = 6*f(c) - 5*g(c). What is the units digit of u(-9)? 3 Suppose 4*w - 24 - 260 = 0. What is the tens digit of w? 7 Suppose 169 - 41 = 4*p. What is the units digit of p? 2 Suppose -5*p - 4*x + 609 = -5*x, -2*x = 2*p - 234. What is the units digit of p? 1 Suppose 8 = -4*z - 4. Let m(l) = -l**3 - 2*l**2 - 2...
{ "pile_set_name": "DM Mathematics" }
8*t(s)? s - 747 Let k(t) = -1593*t - 107. Let y(r) = -1594*r - 92. Calculate -6*k(s) + 7*y(s). -1600*s - 2 Let w(c) = -c**3 + 13*c**2 + 2*c - 5. Let m(h) = -2*h + 127*h**2 + 125*h**2 - 393*h**2 + h**3 + 128*h**2 + 0*h**3 + 6. Give 5*m(i) + 6*w(i). -i**3 + 13*i**2 + 2*i Let d(o) = 8*o**3 + o + 3. Let y(z) = 8*z**3 + z ...
{ "pile_set_name": "DM Mathematics" }
2688*sqrt(5) + 62860 Simplify ((((sqrt(330)*-2 + sqrt(330))*4)/(sqrt(88)/(sqrt(8)*-2)))/(-4*sqrt(40)/sqrt(4) + (sqrt(1000) + sqrt(40))/sqrt(4)))**2. 48 Simplify (sqrt(1584) + 0 + 0 + sqrt(1584) + 4*(-1*sqrt(1584) - sqrt(1584)) + 1*(sqrt(1584) + (sqrt(1584) - sqrt(1584)*-1)) + sqrt(1584)*-3 + -2)**2*4. 1152*sqrt(11) + 2...
{ "pile_set_name": "DM Mathematics" }
(x). 2*x**2*(x - 1)**2*(2*x + 1) Let d(k) be the first derivative of 15/4*k**4 + 4 + 6*k - 8*k**3 + 3/2*k**2. What is f in d(f) = 0? -2/5, 1 Let z(l) be the third derivative of -l**7/210 + l**5/10 + l**4/3 + l**3/2 + 13*l**2. Determine c, given that z(c) = 0. -1, 3 Let v(y) be the first derivative of -7*y**6 + 297*y**5...
{ "pile_set_name": "DM Mathematics" }
ommon factor of 8505 and 4305. 105 What is the highest common divisor of 2133 and 237? 237 What is the greatest common factor of 107050 and 200? 50 What is the greatest common divisor of 168 and 42264? 24 What is the highest common divisor of 312 and 3786042? 78 What is the highest common divisor of 405 and 29565? 405 ...
{ "pile_set_name": "DM Mathematics" }
+ -112. Let o be 63/t - 1/2. Let r = 0.24 - 0.34. Which is bigger: r or o? r Let v = -442405/478 - -1851/2. Let c = -1761/2629 - v. Is c >= 0? False Let d = 308903/268840 - -679/1144. Let q = d - 17/10. Let j be -2 + 1 + 0 - -1. Which is greater: q or j? q Suppose q - 2*q - 20 = 5*a, 4*a = 3*q - 35. Suppose -q*i = -4*s...
{ "pile_set_name": "DM Mathematics" }
zzhzzdzzzzzdzzh. 7/76 Two letters picked without replacement from qqaqaajaaasqs. Give prob of sequence qq. 1/13 What is prob of sequence xf when two letters picked without replacement from qqqqffqffxq? 2/55 Four letters picked without replacement from aaecg. What is prob of sequence aega? 1/60 Calculate prob of sequenc...
{ "pile_set_name": "DM Mathematics" }
False Is 1128699397 a composite number? True Is 17517043 a prime number? False Is 520679 a composite number? False Is 3932867 prime? False Is 581843 a composite number? False Is 4145602 composite? True Is 238772329 a prime number? True Is 66239493 a composite number? True Is 506551 a composite number? False Is 3136237...
{ "pile_set_name": "DM Mathematics" }
5*z + 139. Calculate k(30). -11 Let z(q) = 5*q**3 + 108*q**2 - 84*q - 890. What is z(-22)? -10 Let f(g) = 7*g - 70. Determine f(-9). -133 Let i(o) = -179*o**2 + 3592*o - 242. Calculate i(20). -2 Let t(g) = -g**2 + 64*g - 267. Give t(60). -27 Let a(b) = 3*b**3 + 66*b**2 - 141*b + 61. Give a(-24). -11 Let y(j) = -3*j**2...
{ "pile_set_name": "DM Mathematics" }
e next term in 154816, 155129, 155442, 155755, 156068, 156381? 156694 What is next in 18154063, 36308122, 54462181, 72616240, 90770299, 108924358? 127078417 What comes next: -1101, -2125, -3173, -4245, -5341? -6461 What is the next term in 621177, 1242469, 1863761, 2485053? 3106345 What is the next term in -66306525, -...
{ "pile_set_name": "DM Mathematics" }
4*u - 4, 2*f + 0 + 4 = u. Let i = -1 + 1.4. Which is the second biggest value? (a) f (b) 5 (c) i c Let n = -8.7 - -8.5. Which is the second smallest value? (a) n (b) 4 (c) 2 (d) -1/7 d Let g(w) = -w + 3*w + w**2 - 12*w + 3. Let c be g(10). What is the third smallest value in 2/11, 4, c? 4 Let t(r) = -6*r. Let l...
{ "pile_set_name": "DM Mathematics" }
42 and 22659582? 158617074 Calculate the common denominator of -121/1008 and 145/10906392. 65438352 What is the common denominator of -137/3184512 and -115/398064? 3184512 Calculate the smallest common multiple of 701232 and 25044. 701232 Calculate the common denominator of -44/682995 and 5/14752692. 73763460 What is t...
{ "pile_set_name": "DM Mathematics" }
ositive. h**(51/2) Simplify q*q**(-8)*q*q**(-2/3) assuming q is positive. q**(-20/3) Simplify y**(-1/10)*y*y**(2/7)*y*(y/y**(-4/7)*y)/(((y**0*y)/y)/y) assuming y is positive. y**(403/70) Simplify ((b*b**(-4))/b)/b*b*(b/(b**(-6)*b))/b*b**(-5)*b*b*b**(2/17)/b assuming b is positive. b**(-49/17) Simplify (t**(2/17)/t*t)/(...
{ "pile_set_name": "DM Mathematics" }
se 7*a - 227 + 1109 = t. Which is smaller: a or 0? a Let a = 3603023521/48416 - 2381529/32. Let l = a + 83/17. Let i = l + -16/2759. Does i = -1? False Suppose 408 = -9*y + 5*y. Which is smaller: y or -513/5? -513/5 Let b = -0.1 - -2.1. Let m = 7063.23 - 7063. Is b < m? False Let d = -40523/3 - -13471. Suppose -7*f + 2...
{ "pile_set_name": "DM Mathematics" }
76 Solve -82*s - 955057 = -952269 for s. -34 Solve 878*p - 36551 = -508*p + 27205 for p. 46 Solve -6206497 + 6262167 = 586*i for i. 95 Solve -19*k = 31*k + 8*k + 1664 - 1432 for k. -4 Solve 122 - 7883 = 69*m + 448*m + 3613 for m. -22 Solve 7296*g = -7313*g + 14599*g + 40 for g. 4 Solve 20650*m + 4700 = 20697*m for m. ...
{ "pile_set_name": "DM Mathematics" }
w rounded to the nearest 100? 1300 Let h(b) = 60889*b**2 - 12*b - 37. Let o be h(-3). What is o rounded to the nearest 10000? 550000 Let n = -46020 - -46050.0085. Let f = n - 30. Round f to three dps. 0.009 Let q(o) = -70*o**3 - o**2 - 2*o - 1. Let y be q(-1). Let z be (4 + 2 + 0)*11/(-22). Let n be 314999970/y - z/7. ...
{ "pile_set_name": "DM Mathematics" }
0). -58*o**4 - 2*o**3 Expand 3*b**4 - 3*b**4 + b**4 + (1 - b - 1)*(0*b**3 + b**3 + b**3) - 2*b**4 + b**4 - 6*b**4 + (3*b**3 + 2*b**3 - 3*b**3)*(b + 3*b - 2*b). -4*b**4 Expand (0*g - 3*g + 4*g)*(-g + 4*g**2 + g + (3*g - 3*g + 4*g)*(-g + 2*g + 2*g)). 16*g**3 Expand (2 + 0*b + b - 2*b)*(-176*b**2 + 176*b**2 - 20*b**4). 20...
{ "pile_set_name": "DM Mathematics" }
- 5*v**2 - 2 - 116*v - 7*v**2 in the form t*v + c*v**2 + q and give q. -2 Rearrange -8*j**4 + 4*j**4 + 2*j + 7*j - 1 + 0*j - 2*j**2 + 7*j**4 to the form g + m*j**4 + q*j + t*j**3 + y*j**2 and give q. 9 Express 176*u - 363*u - 62*u**2 + 187*u + 2 + u**3 as r + d*u**2 + f*u + m*u**3 and give r. 2 Express -24 - 2*n**3 - ...
{ "pile_set_name": "DM Mathematics" }
between 4:32 AM and 10:16 AM? 344 What is 195 minutes before 12:46 PM? 9:31 AM How many minutes are there between 1:30 AM and 5:50 AM? 260 How many minutes are there between 8:23 PM and 3:09 AM? 406 How many minutes are there between 4:24 AM and 12:40 PM? 496 How many minutes are there between 12:55 PM and 2:37 PM? 10...
{ "pile_set_name": "DM Mathematics" }
000 What is 9.495712 micrometers in nanometers? 9495.712 Convert 10723.482ns to hours. 0.000000002978745 What is thirteen quarters of a decade in months? 390 What is one fifth of a kilogram in grams? 200 What is 0.8252341 minutes in microseconds? 49514046 How many meters are there in 14957.58 centimeters? 149.5758 How ...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*y - 3 = 52. Let m = y - -17. What is the remainder when 5/((-3)/m + 1) is divided by 4? 2 Suppose -3*c + 12 = 3*v, 6*c = 3*c. Let o = v + 10. Let n(g) = g**3 + 6*g**2 + g + 6. Calculate the remainder when n(-5) is divided by o. 12 What is the remainder when -29*(3 - (9 - 4)) is divided by 20? 18 What is the...
{ "pile_set_name": "DM Mathematics" }
l(c). Suppose b + 2*v - 8 = -0*v, -v = -5*b + 7. Give b*t(h) + y(h). -2*h**2 + 2 Let a(p) = 1. Let d(w) = -2*w**2 - w - 2. Determine 3*a(k) + d(k). -2*k**2 - k + 1 Let i(o) = -45*o**3 - 35*o. Let x(s) = 5*s**3 + 4*s. Calculate 4*i(b) + 35*x(b). -5*b**3 Let u be -1 - 4/(-8)*6. Let h(x) = -x - 1. Let s(w) = w. Determine...
{ "pile_set_name": "DM Mathematics" }
526*r What is the third derivative of 2*f*h**5 - 84581698*f*h**3 + 4*f*h**2 + 2656949*f wrt h? 120*f*h**2 - 507490188*f Differentiate -454703979*f - 196836368 wrt f. -454703979 Find the third derivative of -u**6 - 1073459*u**3 - u**2 + u - 101438 wrt u. -120*u**3 - 6440754 Find the third derivative of 771161759*t**4 - ...
{ "pile_set_name": "DM Mathematics" }
-3*d - 5*g + 1 + 7 = 0, 2 = 4*d - 2*g. Let x be u(d). Is 2 at most x? False Suppose 21*t + 13299 = -10767. Which is bigger: t or -1149? t Let k be (110/12 - 9)*9. Let p = -0.03 + -0.08. Which is smaller: k or p? p Let r = 544133/2864226 - 40/9007. Which is greater: 0 or r? r Suppose 3*x = u - 6, 3*x + 9 = -u + 15. Whi...
{ "pile_set_name": "DM Mathematics" }
/((-232)/(-145)). What is the closest to -1 in 0.2, m, -0.1? -0.1 Let m be (-3)/(-14) + (-2)/(-7). Let w be (-4)/(-10)*(-3 - (460/(-48) + 7)). Which is the closest to m? (a) 2/17 (b) 0.3 (c) w b Let t = -8.1 + 8. Let s = 2.9 - t. Let i = -0.04 - -2.04. Which is the nearest to 1/4? (a) i (b) 1/3 (c) s b Let j = -6...
{ "pile_set_name": "DM Mathematics" }
603 is divided by 755? 748 What is the remainder when 86219 is divided by 247? 16 What is the remainder when 195346 is divided by 65111? 13 Calculate the remainder when 27692 is divided by 104. 28 Calculate the remainder when 6166 is divided by 2506. 1154 What is the remainder when 10550 is divided by 22? 12 What is th...
{ "pile_set_name": "DM Mathematics" }
f(d) = -2*d**2 - 3*d + 28. Let z be f(t). Which is smaller: z or -73/2? z Let y = 2.03 + -0.03. Suppose 0 = 2*a + 1344 - 1342. Let p be -9 + (56/a)/8. Is y >= p? True Let a = 28389 + -28362. Is -8.1 > a? False Let s be -34 + 12 - (3 + -11 - -16). Which is bigger: s or -674/23? -674/23 Let x = -20.9 - -20. Let c = x - ...
{ "pile_set_name": "DM Mathematics" }
s the hundred thousands digit of 6187071? 1 What is the tens digit of 103787? 8 What is the hundred thousands digit of 17724415? 7 What is the hundreds digit of 178800? 8 What is the millions digit of 4084358? 4 What is the tens digit of 3963531? 3 What is the tens digit of 6007247? 4 What is the hundreds digit of 5783...
{ "pile_set_name": "DM Mathematics" }
or x? x Let q = 113 + -99. Which is smaller: q or 15? q Let o be 14/(-3 - (-2)/2). Is -2/9 at least as big as o? True Suppose -3*k - 5*t = k - 8, 4*k + t - 8 = 0. Which is bigger: 6/7 or k? k Let v be (0 - -1)*3/9. Which is bigger: -0.16 or v? v Let i = 12 - 12. Is i != 1? True Let s = -59376/611 - -1260/13. Let z = s ...
{ "pile_set_name": "DM Mathematics" }
99 and 98631? 1084941 Calculate the smallest common multiple of 120300792 and 40. 601503960 Calculate the common denominator of -87/14672 and -11/531860. 2127440 Calculate the lowest common multiple of 17905479 and 1230. 179054790 Find the common denominator of -83/12 and 43/4030428. 4030428 Calculate the common denom...
{ "pile_set_name": "DM Mathematics" }
28 + -31). Which is bigger: l or -2283? l Let g be (-189)/30*2/(-18). Which is bigger: 15 or g? 15 Let f = 88250736/941 - 93784. Which is smaller: -1 or f? -1 Let h = -671 + 700. Suppose 109 = -4*t + 2*v + h, -4 = -2*v. Does -25 = t? False Let i = -157 + 155. Let g be (2*(i + 1))/((-41)/533). Which is greater: g or 29?...
{ "pile_set_name": "DM Mathematics" }
on multiple of 1353 and 10? 13530 What is the common denominator of -13/253 and -56/299? 3289 Calculate the common denominator of 75/10258 and 25/2453. 112838 Find the common denominator of -29/45 and -29/150. 450 What is the least common multiple of 1098 and 4209? 25254 Calculate the common denominator of 13/777 and -...
{ "pile_set_name": "DM Mathematics" }
128*g. Calculate a(v(r)). 128*r**2 Let u(i) = 39*i**2. Let x(z) be the second derivative of z**4 - 7*z + 29. Calculate x(u(k)). 18252*k**4 Let m(r) = 16359*r**2. Let p(j) = 7*j + 4. Give p(m(q)). 114513*q**2 + 4 Let d(g) = 3*g. Let o(p) = -263 - 156*p - 264 + 790 - 263. Calculate d(o(z)). -468*z Let o(q) be the second ...
{ "pile_set_name": "DM Mathematics" }
nd p. 132 Let i be 4 - 6 - -1417 - -1. Calculate the common denominator of (-2)/3*i/64 and -7/6. 12 Suppose -3*b - 2*k - 58 = -186, -4*k + 130 = 3*b. Calculate the least common multiple of 9 and b. 126 Let v(k) = -11*k - 7. Let a be v(-3). Find the common denominator of -83/6 and ((-699)/126 - -4)*a/(-10). 42 Let g = 1...
{ "pile_set_name": "DM Mathematics" }
0.0301784. Round m to 6 decimal places. 0.000078 Let o = 26.5 - -166.3. Let d = 36.8 - o. Let s = -155.999937 - d. Round s to 5 decimal places. 0.00006 Suppose -o - 3*g = -4562076, 2*o + 2*g - 9124172 = -0*g. Suppose -3*z - 3*w = -o - 11847897, 16410016 = 3*z - 4*w. Round z to the nearest 100000. 5500000 Suppose 0 = -5...
{ "pile_set_name": "DM Mathematics" }
? 180 Suppose y - 40 = -y. Suppose 2 = -3*f + y. What is the smallest common multiple of f and (-2 - 4/4)*-1? 6 Suppose d - 2*u = 3*u - 4, -28 = -2*d + u. Suppose -m + 24 = 3*m. Let g(l) = -l**3 + 6*l**2 + 4*l - 6. What is the least common multiple of d and g(m)? 144 Let b = 2195 - 722. Let k = -9637/6 + b. Let c = k -...
{ "pile_set_name": "DM Mathematics" }
se 4*l - 32 = 3*x, -1 = 3*x + 11. Let y(p) = p + 1. Let k be y(l). Solve -h - k + 3 = 0 for h. -3 Let j = -4 + 11. Suppose -2*z - j = -11. Suppose z*y = 16 + 8. Solve -y = -3*g - g for g. 3 Let o = 10 - -6. Suppose j - 4*m = -1, 3*m - 7 = -j - m. Solve -j*w + o = w for w. 4 Let c = 10 + -5. Suppose 8 = y - m, 0*m - 16 ...
{ "pile_set_name": "DM Mathematics" }
f be d(5). Let r(c) = 60*c + 21. Let h be r(f). Suppose 2*o + 287 = h. Is o a prime number? False Let f(c) = c**2 - 14*c - 15. Let d be f(15). Suppose 0 = -2*i + 3*p + 7, -i + 5*p + 6 + 1 = d. Suppose o = -2*z + 153, -o - i*o - z + 484 = 0. Is o composite? False Let h(k) = -1. Let m(x) = -4*x - 15. Let d(r) = -5*h(r) +...
{ "pile_set_name": "DM Mathematics" }
a factor of 298? False Is 289 even? False Does 10 divide 296? False Is 13 a factor of 726? False Is 2580 a multiple of 20? True Does 38 divide 608? True Is 1974 a multiple of 7? True Does 12 divide 43763? False Is 14 a factor of 1372? True Is 21 a factor of 126? True Does 36 divide 6804? True Is 200 a multiple of 25? ...
{ "pile_set_name": "DM Mathematics" }
t Differentiate 32606*n**2*v - 7*n**2 + 426026*v - 2 with respect to n. 65212*n*v - 14*n Differentiate -45*p*q**2 + 250*p*r**2 - 2*p*r + 23*q**4*r - q**2*r**2 + 21*r**2 wrt q. -90*p*q + 92*q**3*r - 2*q*r**2 What is the second derivative of -2*i*r**2 - 3*i - 18477*r**2 + 26193*r + 4 wrt r? -4*i - 36954 Find the second d...
{ "pile_set_name": "DM Mathematics" }
182? 45*l + 2 What is the b'th term of -574, -577, -580, -583? -3*b - 571 What is the c'th term of -25, -36, -77, -166, -321, -560, -901, -1362? -3*c**3 + 3*c**2 + c - 26 What is the q'th term of -5345, -10694, -16043, -21392, -26741, -32090? -5349*q + 4 What is the n'th term of 138, 147, 162, 183, 210, 243? 3*n**2 + ...
{ "pile_set_name": "DM Mathematics" }
*m. Let u(h) = h + 16580530. Calculate y(u(w)). -2*w - 33161060 Let u(p) = -5*p**2 - 95. Let m(o) = o**2 + 20. Let n(s) = -19*m(s) - 4*u(s). Let j(k) be the second derivative of -k**4/4 + 3*k**3/2 + 4*k. Give n(j(h)). 9*h**4 - 54*h**3 + 81*h**2 Let u(o) be the second derivative of 5*o**4/4 + 6*o - 4. Let j(y) = 61*y**2...
{ "pile_set_name": "DM Mathematics" }
*(-1) assuming z is positive. z**(-59) Simplify ((c**2/c*c)**(-25)/((c/(c/c**0))/c**(-1)))**(-34) assuming c is positive. c**1734 Simplify ((j**(-14/3))**(21/2)*j**(-19/3)/j*j**23)**(-16) assuming j is positive. j**(1600/3) Simplify ((h*h*h**(3/7)*h*h*h)/h*h/h**(-3/7))/(h*h*h**(-4)*h**(4/7)*h*h*h)*(h**1)**28/(h**(-6)*(...
{ "pile_set_name": "DM Mathematics" }
4)/(-21))/(16/28)*(-1)/108. -1/54 Calculate ((-200)/3)/(-10)*(-96)/1080*-54. 32 (24/(-243))/(2/4*(-72)/27) 2/27 4/6*267/89*84/532 6/19 Evaluate (-6)/((-144)/10)*20/(-25). -1/3 What is the value of ((-9)/36)/(375/3900)? -13/5 What is (-20)/(-165)*-117*33/(-6)? 78 2/((-640)/6)*731/((-6579)/12) 1/40 Evaluate (39/3510)/(-5...
{ "pile_set_name": "DM Mathematics" }
et a(y) = 9*y - h*y + 13*y - 16. Let b be a(4). Solve -4*r + 10 + 2 = b for r. 3 Let p = -161 + 176. Suppose 3*l + 37 = 5*k, 0*l - 2*l = 8. Solve -2*i - p = -k for i. -5 Suppose -17 = -2*r - 5*k, -r + 5*k + 14 = -17. Solve -i = -5*i + r for i. 4 Suppose 0 = -5*s + 7*s - 142. Let c = 76 - s. Solve -3 = 4*r + c for r. -2...
{ "pile_set_name": "DM Mathematics" }
e p*a(b) - f(b). -b + 1 Let s(c) = -5*c**3 + 2*c**2 - c + 4. Let t(k) = -k**3 + 1. Give -s(i) + 4*t(i). i**3 - 2*i**2 + i Let s(g) = g + 1. Let a = -13 + 10. Let m = 4 + a. Let i(j) = -12*j - 6. Let h(l) = -6*l - 3. Let d(x) = 5*h(x) - 3*i(x). Determine m*d(o) - 4*s(o). 2*o - 1 Let t = -104 - -103. Let i(b) be the firs...
{ "pile_set_name": "DM Mathematics" }
prime factors of 48048304. 2, 757, 3967 What are the prime factors of 3160475463? 3, 1053491821 List the prime factors of 1887309112. 2, 13, 83, 218641 List the prime factors of 23087745. 3, 5, 23, 22307 What are the prime factors of 44488921? 44488921 List the prime factors of 45242848. 2, 7, 17, 109 List the prime fa...
{ "pile_set_name": "DM Mathematics" }
4 What is next in -16533, -31253, -45949, -60609, -75221, -89773? -104253 What comes next: -11908177, -11908183, -11908189? -11908195 What comes next: 863, 7872, 27203, 65042, 127575, 220988, 351467? 525198 What comes next: -7231, -15824, -24439, -33088, -41783, -50536? -59359 What is next in 185, 1106, 2635, 4772, 751...
{ "pile_set_name": "DM Mathematics" }
et w(p) = 3*a(p) + o(p). Let u = -46 - -40. Calculate u*m(q) - w(q). -q Let m(p) = -6*p**2 - 3*p + 18. Let o(c) = -2*c**2 - c + 6. Determine -4*m(r) + 11*o(r). 2*r**2 + r - 6 Let n(s) = s. Let f(k) = -5*k**2 - 25*k. What is f(h) + 25*n(h)? -5*h**2 Let f(k) = -2*k**3 + 8*k**2 - 2*k + 3. Let z(y) = -4*y**3 + 15*y**2 - 4*...
{ "pile_set_name": "DM Mathematics" }
hird root of 2089837 to the nearest integer? 128 What is 8965312 to the power of 1/8, to the nearest integer? 7 What is 2468574 to the power of 1/5, to the nearest integer? 19 What is the square root of 30948 to the nearest integer? 176 What is the cube root of 10158445 to the nearest integer? 217 What is the cube root...
{ "pile_set_name": "DM Mathematics" }