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56*b**2. 8*b**2 Collect the terms in -497*k**3 - 561*k**3 + 1057*k**3. -k**3 Collect the terms in -208*r + 208*r - 83*r**3 + 92*r**3. 9*r**3 Collect the terms in 82*p**2 - 19 - p**3 + 70 - 162*p**2 + 80*p**2. -p**3 + 51 Collect the terms in -363*a**3 + 117 + 365*a**3 + 308. 2*a**3 + 425 Collect the terms in -60*y**3 + ...
{ "pile_set_name": "DM Mathematics" }
o. Suppose -x = -3*q + 7 + 10, 0 = 3*q - t*x - 16. Solve -2*b - c = 0, b = -3*b - 5*c + q for b. -1 Let f be (-8)/(-28)*-15*-7. Suppose l - 6 = -5*o, 0 = -o - 5*l + 12 - f. Let q be (-1 + -5)/(3/(-2)). Solve 2*w = -2*m + o, 4*m = -w - q*w + 6 for m. -1 Let b be ((-39)/65)/(12/(-40)). Solve -2*u - 4*z + 2 = 0, 2 + 2 = b...
{ "pile_set_name": "DM Mathematics" }
r**2 - 1171*r - 23. Is x(102) composite? True Let p(h) = 24*h**2 - 8*h - 11. Let u be p(-4). Let a = u + -228. Suppose -a*n - 11073 = -180*n. Is n a composite number? False Suppose -5271 = 15*c - 1311. Is (-1241812)/c + (-10)/12 prime? True Suppose -19 = -3*l - 10. Suppose 0 = -3*i + 5*b + 6, l*i + 29 = 5*i + 5*b. Let ...
{ "pile_set_name": "DM Mathematics" }
9 What is next in -6, -32, -74, -132, -206, -296, -402? -524 What comes next: -3, -4, -3, 0, 5, 12, 21? 32 What comes next: -3915, -3910, -3901, -3888, -3871, -3850? -3825 What is the next term in -4611, -4612, -4615, -4620, -4627? -4636 What comes next: -1, 13, 27, 41? 55 What is next in 21, 49, 85, 123, 157, 181? 189...
{ "pile_set_name": "DM Mathematics" }
-255736 -771604 divided by 2 -385802 272847 divided by -4 -272847/4 Divide 1071752 by -88. -12179 -105948 divided by 36 -2943 What is -67014 divided by 3? -22338 What is 103328 divided by 16? 6458 2091 divided by -75 -697/25 Calculate 3385 divided by 42. 3385/42 Divide -4275670 by 5. -855134 Calculate 6 divided by -18...
{ "pile_set_name": "DM Mathematics" }
Let n = -0.2 + -3.8. Which is the closest to -1? (a) 2/9 (b) x (c) n a Let i(s) = -s + 5. Let j be i(9). Let m = 2.4 - -1.6. Which is the closest to -2/3? (a) 1/9 (b) j (c) m a Let f = -4.1 + 15.1. Which is the nearest to 0.1? (a) 1/5 (b) -2/7 (c) f a Suppose -5*z = 2*m - 2*z + 13, 0 = 4*m - 3*z - 1. Let v = -...
{ "pile_set_name": "DM Mathematics" }
73 Calculate 41 - ((0 - -9) + (-9 - -20)). 21 Evaluate (-9 - (-31 + 22 + -2)) + (0 - 29). -27 Calculate (-33 - -4) + 31 + 26. 28 What is -14 - (-3 + 57 + -27 + -175 + 1 + -2)? 135 What is the value of (-2 + 0 + -2 + -10 - 44) + -5? -63 What is 4 + 5 + 165 + -129? 45 (227 - 105) + (15 - 242) -105 Calculate (-11 - (-41 +...
{ "pile_set_name": "DM Mathematics" }
e highest common divisor of 101 and 15251. 101 What is the greatest common divisor of 39376 and 736? 368 What is the highest common factor of 1178 and 124? 62 What is the greatest common divisor of 540 and 1836? 108 What is the greatest common factor of 250 and 20? 10 Calculate the greatest common divisor of 239 and 40...
{ "pile_set_name": "DM Mathematics" }
-13 = -3*n + v + v. What is n rounded to the nearest ten? 0 Let m = 2.506 + 0.226. What is m rounded to two decimal places? 2.73 Let c = 633.0667 - 633. Let q = 0.065 - c. Round q to two dps. 0 Let f = 14023 + -3. Round f to the nearest one thousand. 14000 Let p = 520.69 + -528. Let j = -0.71 - p. What is j rounded to ...
{ "pile_set_name": "DM Mathematics" }
188 - 2. Let s = f + -544/235. Which is bigger: -0.2 or s? -0.2 Let b = -182 - -182. Let f be 3/(-5) - (-223)/355. Which is bigger: b or f? f Let a be 1 - (-1)/(3/(-273))*-1. Which is smaller: a or 93? a Let d = -5 + 4.6. Let l = -159 + 166. Are l and d non-equal? True Let s be 6*(3 - 20/8). Let a(i) = 4*i - 22. Let l ...
{ "pile_set_name": "DM Mathematics" }
Let g be q(-3). Let t = g - 23. Let m = 5 - 9. Which is the second biggest value? (a) -3 (b) t (c) m a Let w = 42 - 41.57. Let j = -2.57 - w. Which is the smallest value? (a) 2/3 (b) 1 (c) j (d) -1.7 c Let p = -485 + 484.76. What is the third smallest value in p, -2/15, 0.1? 0.1 Let i = 384 - 459.9. Let l = 76 ...
{ "pile_set_name": "DM Mathematics" }
j(l) = h(l) + 3*w(l). Let y(r) = 1. What is -j(s) - 6*y(s)? s Let p(v) = -2*v**2 - 8. Let w(f) = -1. What is 3*p(g) - 24*w(g)? -6*g**2 Let y(o) = 2*o**2 - 3*o + 48. Let h(u) = -4*u**2 + 5*u - 95. Determine 3*h(d) + 5*y(d). -2*d**2 - 45 Let q(n) = 3*n**2 + 3. Let v(h) = 3*h**3 + 5*h**2 + 4*h + 5. Let i(o) = -o**3 - o**...
{ "pile_set_name": "DM Mathematics" }
l**2 - 57*l - 16. Let r(m) = -48*m**2 - 114*m - 33. Let p(v) = 13*h(v) - 6*r(v). Suppose p(d) = 0. What is d? -5, -2/11 Let f be ((-3)/2)/((-10)/(-100)). Let l be (-2)/(-10) - (-3)/f. What is p in -21/5*p**3 + 5*p**5 - 4/5*p + l - 4*p**2 + 4*p**4 = 0? -1, -2/5, 0, 1 Let x(r) be the first derivative of r**4/2 + 2*r**3/3...
{ "pile_set_name": "DM Mathematics" }
t d = 8 + -13. Let h(v) = v**2 + 3*v - 8. Let y be h(d). Put 4, y, -11, 5 in decreasing order. 5, 4, y, -11 Suppose -10*z + 5*a = -15*z - 15, -a = -3*z + 3. Sort z, -3, 5, -5. -5, -3, z, 5 Suppose -3*o + 3*q - 7 = 2*q, -2*o - 5*q - 33 = 0. Let c be 4/(-14) + 360/35. Suppose 3*r + c = 25. Put r, o, -5 in ascending order...
{ "pile_set_name": "DM Mathematics" }
of 249, 262, 289, 336, 409, 514, 657? n**3 + n**2 + 3*n + 244 What is the b'th term of 2545, 2597, 2691, 2833, 3029, 3285? b**3 + 15*b**2 + 2529 What is the j'th term of 4, 4, 0, -8, -20, -36? -2*j**2 + 6*j What is the d'th term of -39, -54, -69, -84? -15*d - 24 What is the h'th term of -101, -94, -89, -86, -85, -86? ...
{ "pile_set_name": "DM Mathematics" }
+ 50. What is the units digit of v? 8 Suppose 2*b - 8 = -4*z - 0*b, -z + 5*b + 2 = 0. What is the tens digit of (-12 + -1)/(-1) - z? 1 Suppose 3*s + 72 = 7*s. Let l = 7 - s. Let g = -4 - l. What is the units digit of g? 7 Let s = 4 - -9. Suppose 0 = -m + s - 2. What is the tens digit of m? 1 What is the units digit of...
{ "pile_set_name": "DM Mathematics" }
zm. 10/91 Four letters picked without replacement from {v: 1, k: 3, n: 3, h: 1, z: 6, s: 1}. Give prob of sequence zznk. 3/364 Two letters picked without replacement from lybyylyyyyyyyyl. What is prob of sequence yl? 11/70 Four letters picked without replacement from {v: 1, i: 1, e: 2, h: 2, o: 4, x: 2}. What is prob o...
{ "pile_set_name": "DM Mathematics" }
is the closest to -1/4 in 3, p, 10, -3/4? -3/4 Let s = 5 - -24. Let f = s + -34. What is the nearest to 8 in -1/4, -3, f? -1/4 Let g = 0.7 - 1.1. Which is the nearest to 1/2? (a) 4 (b) g (c) -0.3 c Let l = 0.022 - -0.009. Let p = 4.969 + l. Which is the nearest to 0.1? (a) 4 (b) p (c) -1 c Let m be (-2)/(-8) - (-...
{ "pile_set_name": "DM Mathematics" }
, y: 4, a: 1, l: 2}. Give prob of sequence lhha. 1/420 Three letters picked without replacement from {n: 5, q: 9}. What is prob of sequence nqn? 15/182 Four letters picked without replacement from {z: 2, q: 4, c: 2, g: 1, d: 5}. What is prob of sequence cdqg? 5/3003 What is prob of sequence gx when two letters picked w...
{ "pile_set_name": "DM Mathematics" }
0 - 2*i) + (i + i + 4*i)*(17 + 13 - 42)) to the form p + k*i**3 + u*i + j*i**2 and give k. 280 Express 2*r**2 + 258 - 1128*r + 568*r + 559*r as s*r**2 + n + y*r and give y. -1 Express -8 + 16*r**2 + 21*r**2 - 26*r**2 as t + m*r**2 + o*r and give t. -8 Rearrange -3 + 320*s**2 + 241*s**2 + 3 to c*s**2 + v*s + l and give...
{ "pile_set_name": "DM Mathematics" }
-3 + 1. Let b be n/4*(-12)/(-16). What is the third biggest value in b, -0.5, x? x Let m(x) = -x**2 - 5*x - 3. Let f be m(-4). Let q(w) = 2*w - 1. Let y be q(2). Let k = f - y. Which is the second biggest value? (a) k (b) 2/9 (c) 4 b Suppose 5*l - 18 = 8*l. Let g be ((1 - 2) + 5)*l/(-64). Which is the biggest value?...
{ "pile_set_name": "DM Mathematics" }
der. -0.3, g, j Let d(s) = s**2 - 11*s + 25. Let z be d(6). Suppose -17 + 5 = 4*b. Sort z, 0, b in decreasing order. 0, b, z Let g(c) = 23*c**3 + 3*c**2 + 2*c + 1. Let w be g(-1). Let x be 0/(-1) + w/(-63). Put 4, x, 2 in increasing order. x, 2, 4 Let q = -2.7 + -0.3. Let v = q - -13. Let m = v + -9.9. Sort -0.8, m, 2/...
{ "pile_set_name": "DM Mathematics" }
6840 Let i = -30 + 16. Calculate the common denominator of -63/8 and i/9*42/8. 24 Let n be 14/(-2) + 3 + 4. Calculate the common denominator of 95/6 and ((-39)/8 + n)*154/(-126). 24 Let f = 3/1118 + -37178/1677. Find the common denominator of f and 45/2. 6 Let m(s) = 3*s**2 + 6*s. Let z be m(-4). Let o be (z/18)/((-3)/...
{ "pile_set_name": "DM Mathematics" }
2533 rounded to 3 decimal places? -0.013 What is 0.0026462219 rounded to seven decimal places? 0.0026462 Round 28.63572 to 0 dps. 29 Round 6369.711 to the nearest 1000. 6000 Round 2960268000 to the nearest 1000000. 2960000000 What is 0.00888464 rounded to 5 decimal places? 0.00888 Round 0.7684558 to 2 decimal places. 0...
{ "pile_set_name": "DM Mathematics" }
r a. 2 Solve -4*q + 2 = 5*a, 2526*q = -2*a + 2522*q - 4 for a. 2 Solve -2*h - 4*w + 18 = 0, -23206*w = -2*h - 23202*w - 6 for h. 3 Solve -2*n - 4*y = -56, 2*n - 26 = 423*y - 421*y for n. 18 Solve 22*h + 16 = 18*h + 4*p, -2*h - 4*p + 22 = 0 for h. 1 Solve 0 = 5*q - 45, 5*q + 16 = p + 63 for p. -2 Solve -99*m - 110 = -2*...
{ "pile_set_name": "DM Mathematics" }
common factor of s and 3590? 10 Let z(v) = -5*v**2 + 127*v - 718. Let p be z(12). Calculate the highest common factor of 7267 and p. 43 Let t(v) = 104*v + 6. Let d(m) = -35*m - 2. Let z(u) = -7*d(u) - 2*t(u). Let a be z(1). Calculate the greatest common divisor of a and 13. 13 Let y = 64 + -28. Suppose y = -7*w + 8*w. ...
{ "pile_set_name": "DM Mathematics" }
-5*b - 94. Let o be d(-19). Let z(m) = -15*m**3 + 4*m**2 - 2*m - 1. Let v(y) = -30*y**3 + 7*y**2 - 3*y - 2. Let w(r) = -4*v(r) + 7*z(r). Give w(o). 14 Let u = 16 + -14. Let t(w) = -2*w + 4*w**2 + 0 - 3*w**2 + 0*w**u + 3. Give t(3). 6 Let c(q) = -q**2 - 10*q. Let n be -44*((0 - -2) + (-91)/52). Calculate c(n). -11 Let ...
{ "pile_set_name": "DM Mathematics" }
2537 is divided by 202? 15 What is the remainder when 147107 is divided by 73532? 43 What is the remainder when 5303 is divided by 148? 123 Calculate the remainder when 782 is divided by 91. 54 What is the remainder when 48091 is divided by 48? 43 What is the remainder when 182159 is divided by 552? 551 What is the rem...
{ "pile_set_name": "DM Mathematics" }
+ -120. Solve -t = -a - y for a. -4 Let k(m) = 5*m - 168. Let s be k(-30). Let i = 342 + s. Solve -5*y = y - i for y. 4 Let v = -1 - -3. Suppose v*m + 4*m - 3*m = 0. Solve m = 3*a - 7 + 13 for a. -2 Let j be (-9 - -4 - -6)/1. Let t be (-102)/68 - (-1 + j/(-2)). Solve 24*p - 19*p = t for p. 0 Let u(g) = -g**3 + 13*g**2...
{ "pile_set_name": "DM Mathematics" }
What is the common denominator of -22/28791 and 75/28? 115164 Find the common denominator of 107/27560 and 97/27560. 27560 Find the common denominator of 87/5210 and 32/54705. 109410 Find the common denominator of 23/580853 and 151/20622. 3485118 Calculate the smallest common multiple of 266 and 665. 1330 Calculate the...
{ "pile_set_name": "DM Mathematics" }
Suppose 1 = 4*g + 5. What is the closest to c in -2, 4, g? g Suppose 4*r = -4*l, -r + 3*l - 6 + 2 = 0. Let y = 11 - 6. Which is the closest to r? (a) 1 (b) -1/2 (c) y b Let y = -624 - -624.1. Let w be (3/(-10))/(12/(-10)). What is the closest to w in -1/4, y, 1? y Let i = 8 + -12. Let o = -1 - -1.4. Let w be (3 + -...
{ "pile_set_name": "DM Mathematics" }
6. Suppose z*j - 12 = -0. What is the units digit of 12/(-18) + 52/j? 8 Let c(j) be the first derivative of j**4/6 + j**2/2 - 5*j + 2. Let h(u) be the first derivative of c(u). What is the units digit of h(2)? 9 Suppose k + 352 = 5*k. What is the tens digit of k? 8 Suppose 0 = -r + 2. Suppose -r*p + 1 = -31. What is th...
{ "pile_set_name": "DM Mathematics" }
6*o**4 Let r(y) = -10*y**2 - 6*y - 6. Let c(z) = -90*z**2 - 55*z - 55. Let d(a) = -6*c(a) + 55*r(a). Let v(u) = 4*u**2. Calculate v(d(x)). 400*x**4 Let r(m) = m**2. Let u(l) = 2*l + 2. Let z(v) = -v**2 + 7*v + 7. Suppose 6*d = 2*d - 8. Let a(o) = d*z(o) + 7*u(o). Calculate r(a(n)). 4*n**4 Let s(t) = -2*t. Let c(n) = -2...
{ "pile_set_name": "DM Mathematics" }
ther -3.2 and 23611136.933. 23611133.733 34915548.5218 - 0.371 34915548.1508 Work out -502 + 1263436209398. 1263436208896 Add 0.057203218996898 and -5. -4.942796781003102 Calculate -255026 - 0.42982693. -255026.42982693 What is 398.82268911 - 0.02? 398.80268911 1469 + 1167691092 1167692561 Put together -1 and -10674369...
{ "pile_set_name": "DM Mathematics" }
83585 + 0.4. 0.3816415 3.8 - -0.021 3.821 What is the difference between 0.076 and 94888? 94887.924 11739.6+0.3 11739.9 Work out 0.256 - -0.4. 0.656 0.25+2.62 2.87 Total of 0.3 and 111523. 111523.3 What is the difference between -2 and 0.074? 2.074 Add together -11 and -33. -44 Work out -0.5 + -418820. -418820.5 Total ...
{ "pile_set_name": "DM Mathematics" }
is the third root of 1060 to the nearest integer? 10 What is the cube root of 1036 to the nearest integer? 10 What is the fifth root of 61058 to the nearest integer? 9 What is the sixth root of 9348 to the nearest integer? 5 What is 1215 to the power of 1/10, to the nearest integer? 2 What is the cube root of 26221 to...
{ "pile_set_name": "DM Mathematics" }
replacement from wmokwqoq. Give prob of sequence qwm. 1/84 Three letters picked without replacement from {v: 6, x: 6, b: 5, p: 1}. What is prob of sequence xbb? 5/204 Four letters picked without replacement from {x: 5}. Give prob of sequence xxxx. 1 What is prob of sequence pdd when three letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from ccfccfcc. Give prob of sequence ffcc. 1/28 Two letters picked without replacement from {q: 18, z: 2}. Give prob of sequence zq. 9/95 Two letters picked without replacement from xxxbbxxxxbxx. What is prob of sequence bb? 1/22 What is prob of sequence maj when three letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
l(z) = -2*z + 68. Let g(x) = -16*x. Calculate g(l(i)). 32*i - 1088 Let g(s) be the second derivative of -s + 0*s**2 + 0 - 1/6*s**3. Let x(k) = 9*k. Determine g(x(f)). -9*f Let t(s) be the second derivative of -s**4/3 + 774*s. Let d(h) = -h**2 + 10*h**2 - 3*h**2. Give d(t(j)). 96*j**4 Let j(d) be the first derivative o...
{ "pile_set_name": "DM Mathematics" }
111? 108 Calculate the remainder when 606 is divided by 46. 8 Calculate the remainder when 181 is divided by 61. 59 Calculate the remainder when 93 is divided by 31. 0 What is the remainder when 846 is divided by 280? 6 Calculate the remainder when 376 is divided by 360. 16 Calculate the remainder when 304 is divided ...
{ "pile_set_name": "DM Mathematics" }
1 = 3*t - 5*g. Let o be u(t). Solve -l - 4*d + 24 = -5*l, 3*l - o = -2*d for l. -2 Suppose -5*o + 3 = -2. Suppose 3*g - o = 5. Suppose -5*k + 7 = -4*j, 2*k - g*j - j = 0. Solve -5*u + 6*z - 20 = k*z, -z + 5 = 0 for u. -1 Suppose -i - 6 = u + 2*i, -2*i + 26 = 4*u. Suppose 5*q + 0*q + 15 = 5*g, -4*q - 3*g = -u. Solve -2*...
{ "pile_set_name": "DM Mathematics" }
109 Let c(j) = -22*j + 1509. Determine c(55). 299 Let o(h) = -12*h**2 + 101*h - 70. What is o(8)? -30 Let z(u) = -4*u**2 - 3120*u + 9357. Calculate z(3). -39 Let x(z) = -532*z + 1052. What is x(2)? -12 Let g(f) = 99*f - 1281. What is g(13)? 6 Let s(r) = -2*r**2 - 34*r + 17. Give s(-21). -151 Let w(z) = 143*z**2 + 1023...
{ "pile_set_name": "DM Mathematics" }
ppose -z + 3 = -f. Is z a composite number? False Let o(j) = -21*j**2 - j. Let q be o(10). Let c = 14 + -22. Is 21/(-28) + q/c prime? True Let j be (56/3)/8*3. Suppose -j*r + 10599 = 2801. Is r a prime number? False Let y be (-2)/(-13) - (-1197)/(-91). Let j = 17 + y. Suppose 6*x + 138 = c + x, -j*x - 270 = -2*c. Is c ...
{ "pile_set_name": "DM Mathematics" }
30000 How many micrograms are there in one sixteenth of a gram? 62500 What is 772.7117 years in decades? 77.27117 What is twenty-one fifths of a meter in millimeters? 4200 How many days are there in 2996.5464 hours? 124.8561 How many nanometers are there in fourty-three halves of a micrometer? 21500 How many microgram...
{ "pile_set_name": "DM Mathematics" }
110704)/(-357) - 6/63 is divided by 35. 30 Let r = -65 - -69. Suppose -6*c + 58 = -r*c. Suppose -u + 80 = 4*u. What is the remainder when c is divided by u? 13 Suppose -5*r + p - 12 + 1 = 0, -2*r = 5*p - 1. Let q be r/3*2046/(-44). Let n = 0 + q. Calculate the remainder when n is divided by 8. 7 Let o be (-95)/(-40) - ...
{ "pile_set_name": "DM Mathematics" }
. 3/55 Calculate prob of picking 3 l and 1 d when four letters picked without replacement from {h: 3, s: 2, t: 1, k: 1, l: 7, d: 4}. 7/153 What is prob of picking 2 d when two letters picked without replacement from dddddddddd? 1 What is prob of picking 1 a, 1 e, 1 l, and 1 m when four letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
vative of 8*f**3*o**2 + 2*f**3 + 18*f**2*o**2 - 4*f**2 wrt f? 48*o**2 + 12 Find the first derivative of 9084*d*s**3 + 4*s**3 - 583 wrt d. 9084*s**3 What is the second derivative of a**3 + 88*a**2*t**2 + 41*a*t**2 + 9*a*t wrt a? 6*a + 176*t**2 What is the derivative of -687*k**2 + 765? -1374*k What is the third derivati...
{ "pile_set_name": "DM Mathematics" }
9861 - 5226. What are the prime factors of g? 3, 5, 103 Suppose 16*r - 106*r = -35*r - 936870. What are the prime factors of r? 2, 3, 17, 167 Suppose -45*j = -617102 - 511318. List the prime factors of j. 2, 6269 Let d(z) = -1397*z - 1548. List the prime factors of d(-8). 2, 29, 83 Suppose -5*q + 4 = 4*i - 27, -5*q + ...
{ "pile_set_name": "DM Mathematics" }
t g be v(-7). Let h be (16/(-10))/(4/g). Solve 3*j + 4 = h*j for j. 4 Suppose -5 + 2 = -c. Suppose -2 = k - c*k. Let j be (4 + 1)*4/10. Solve -3 = -j*z - k for z. 1 Let a be 2/2 - (1 + -5). Suppose 33 = r - a*o, 4*r - 2*o - 78 = -0*r. Let z be r/3 + (-4)/(-2). Solve 2*n = z + 2 for n. 5 Let c(f) be the first derivative...
{ "pile_set_name": "DM Mathematics" }
0.00009954664 Convert 2123.947 decades to millennia. 21.23947 Convert 9325.534l to millilitres. 9325534 How many micrometers are there in 4623.308 millimeters? 4623308 What is sixty-seven quarters of a litre in millilitres? 16750 How many millilitres are there in 4.83973 litres? 4839.73 What is seven thirds of a decad...
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 50958 and 18. 18 What is the highest common factor of 122795841 and 1197? 399 What is the greatest common divisor of 51536 and 13267299? 3221 Calculate the greatest common factor of 988692 and 16638. 282 What is the highest common divisor of 67320 and 267580? 340 Calculate the greatest co...
{ "pile_set_name": "DM Mathematics" }
8*w + 273 - 193. Suppose 0 = 5*u - 7*r + 4*r + 26, 2*u + 4*r = 0. Sort u, 0.7, w in increasing order. w, u, 0.7 Let g = -10.596 - -0.976. Let s = 8.62 + g. Sort 2/7, -1/3, -7, s in descending order. 2/7, -1/3, s, -7 Let g = -1936 - -1941. Sort g, 0, 1, 4. 0, 1, 4, g Suppose t - 28 = 4*m, -2*t - 13*m = -17*m - 72. Let u...
{ "pile_set_name": "DM Mathematics" }
s the units digit of 3407301? 1 What is the ten thousands digit of 140796? 4 What is the thousands digit of 5381345? 1 What is the hundred thousands digit of 6764053? 7 What is the ten thousands digit of 201414? 0 What is the units digit of 815622? 2 What is the hundred thousands digit of 995047? 9 What is the hundreds...
{ "pile_set_name": "DM Mathematics" }
2 - -240. What is the remainder when r is divided by 22? 14 Let l(w) = -w**3 + 11*w**2 - 17*w - 6. Let o be 1 + 16/(-2)*-1. Calculate the remainder when l(o) is divided by 3. 0 Suppose 27 - 7 = s. Let t = -12 + s. Calculate the remainder when 23 is divided by t. 7 Let o be 14/(-12)*3*-10. Suppose -3*q + 43 = -o. Calcul...
{ "pile_set_name": "DM Mathematics" }
ggest value in m, h, -2/3? -2/3 Suppose -2*f + 8 + 32 = 0. Let u be 18/(-15)*f/6. Let i = 5.1 - 5. Which is the second biggest value? (a) 0.4 (b) u (c) i c Let r = -16 - -22. Let y = r + -8. What is the biggest value in y, 2/11, -3? 2/11 Let n = 51 + -54. Which is the second smallest value? (a) 2/5 (b) n (c) -7 ...
{ "pile_set_name": "DM Mathematics" }
d o to the nearest 10000. -130000 Let k = -199.162 + 199. What is k rounded to two decimal places? -0.16 Let a = 3283024 + -1383024. What is a rounded to the nearest one million? 2000000 Let z = -27 + 23.4. Let o = 0.4 - z. Let n = -3.7 + o. Round n to 0 dps. 0 Let v be (-1 - -6) + (-3 - 0). Suppose 34293 = v*j - 27047...
{ "pile_set_name": "DM Mathematics" }
= -11.5 - -11.4. Which is the biggest value? (a) -2/7 (b) p (c) 0.87 c Let j(s) = -6*s - 38. Let l be j(-7). Which is the third smallest value? (a) l (b) -0.8 (c) -13 (d) -3/7 d Let v be (14/(-49))/((-4)/70). Which is the biggest value? (a) -13 (b) v (c) -4 (d) 2 b Let n = 6 - 8. Let u be (-2 - (-4 + (-25)/(...
{ "pile_set_name": "DM Mathematics" }
d without replacement from rzoxzxzohot? 2/165 Three letters picked without replacement from xujjjjjzjuzgzjgjj. Give prob of sequence gug. 1/1020 Two letters picked without replacement from elyylelyeeeeel. What is prob of sequence ll? 6/91 Calculate prob of sequence jjld when four letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
lowest common multiple of 11241 and 99? 123651 Calculate the least common multiple of 52 and 33176. 33176 Calculate the common denominator of 8/108015 and 70/280839. 1404195 Find the common denominator of -86/11655 and -65/2331. 11655 What is the common denominator of 107/54 and 71/13851? 27702 Find the common denomina...
{ "pile_set_name": "DM Mathematics" }
21? 21 In base 9, what is 304 + 5? 310 In base 8, what is 1234 - -4? 1240 In base 10, what is 4 - -15? 19 In base 6, what is 1 + -352? -351 In base 7, what is -64 - -3? -61 In base 9, what is 380 + 3? 383 In base 15, what is -1e - 0? -1e In base 4, what is -3 + -2311? -2320 In base 16, what is -23a + 16? -224 In base 6...
{ "pile_set_name": "DM Mathematics" }
= 7 for u. 2 Let n = 197 - 115. Let l = 82 - n. Solve 6 + l = -a + b, 3*a + b + 10 = 0 for a. -4 Suppose 0*z + z = -33. Let b = z - -37. Solve t = 4*c + b, 2*c + c = 0 for t. 4 Let c(i) be the first derivative of -2*i**3/3 - 7*i**2/2 + 10. Let o be c(-3). Solve 5*u = 6*u + 5*a + 3, -3*a = o*u - 3 for u. 2 Let c(i) = 7...
{ "pile_set_name": "DM Mathematics" }
the first derivative of u(j) wrt j. -74 Let z(y) be the third derivative of 1/168*y**8 - 1/30*y**6 + 0*y**3 + 0*y**4 + 0*y + 1/4*y**5 + 0*y**7 - 23 - 2*y**2. Find the third derivative of z(k) wrt k. 120*k**2 - 24 Suppose 5*s - 6 = 24. Suppose -19*x - 20 = -23*x. What is the second derivative of x*f**5 - s*f - 5*f**5 - ...
{ "pile_set_name": "DM Mathematics" }
prime factors of 10510? 2, 5, 1051 What are the prime factors of 46990? 2, 5, 37, 127 What are the prime factors of 2644? 2, 661 What are the prime factors of 5469? 3, 1823 What are the prime factors of 5788? 2, 1447 List the prime factors of 5269. 11, 479 List the prime factors of 7320. 2, 3, 5, 61 List the prime fac...
{ "pile_set_name": "DM Mathematics" }
s of v? 2, 3 Suppose m + 7 = -4*d, 2*m - 54 = 5*d - 16. Let j = m + -2. What are the prime factors of j? 7 Let o = 182 - 14. List the prime factors of o. 2, 3, 7 Suppose -3*v + 0 = -9. Suppose 31 = v*s + 4. List the prime factors of s. 3 Let h be (18/(-8))/(6/(-80)). Suppose m + 2*g + 6 = -m, -5*m + 4*g + h = 0. Suppos...
{ "pile_set_name": "DM Mathematics" }
4*i = 5*j - i - 138, -2*i - 98 = -3*j. What are the prime factors of j? 2, 3, 5 Suppose 5*h = -p + 15, 8*p - 12*p + 185 = -5*h. What are the prime factors of p? 2, 5 What are the prime factors of ((-36)/7)/((-990)/245 + 4)? 2, 3, 7 Let d(u) = 5*u + 4. What are the prime factors of d(5)? 29 Suppose -2*l - 4 - 2 = -k, -2...
{ "pile_set_name": "DM Mathematics" }
itres? 26718.3 How many months are there in twenty-seven quarters of a century? 8100 How many litres are there in 341.1342 millilitres? 0.3411342 What is 928.4973ml in litres? 0.9284973 How many seconds are there in 0.6531237 days? 56429.88768 How many years are there in 835362.8 decades? 8353628 What is 114591.4 kilom...
{ "pile_set_name": "DM Mathematics" }
79403 rounded to the nearest integer? 2 What is -3941.46814 rounded to 0 dps? -3941 What is -612665.803 rounded to the nearest one thousand? -613000 Round -0.01090946389 to 4 decimal places. -0.0109 Round -0.0048355869 to six decimal places. -0.004836 Round -92654509.6 to the nearest one hundred thousand. -92700000 Wha...
{ "pile_set_name": "DM Mathematics" }
et j be i(h). Round j to the nearest ten. -100 Let v be 0 - (-29693982)/42 - (-3)/7. Round v to the nearest one hundred thousand. 700000 Let m(b) be the third derivative of b**5/20 - b**4/24 - b**3 + 4*b**2. Let x be m(-3). Suppose x*c - 20*c - 1452 = 0. Round c to the nearest ten. 360 Let c = -80 - 70. Let w = c + 141...
{ "pile_set_name": "DM Mathematics" }
ve j. 3 Rearrange 5*x + 3*x + 8*x to l*x + o and give o. 0 Rearrange (-2 + 2 - 3)*(1 + 2 + 2)*(-3*c**2 + c**3 + 3*c**2) to the form s*c**2 + f + i*c + d*c**3 and give d. -15 Rearrange 0*x - 2*x + 0*x + (0 + 3 - 2)*(-5*x + 0*x + x) - 3*x + 4*x + x to the form j*x + h and give j. -4 Rearrange -20*s - 11*s + s to w + n*s ...
{ "pile_set_name": "DM Mathematics" }
p + 44 + 96. Calculate d(n(c)). -5831*c**2 Let i(d) = 414*d**2 + 98277*d. Let g(b) = -2*b. Determine i(g(l)). 1656*l**2 - 196554*l Let l = 1132 + -1132. Let o(a) be the first derivative of l*a + 12 + 14/3*a**3 + 0*a**2. Let p(h) = -h. Calculate p(o(r)). -14*r**2 Suppose -5*d = -2*d - 9. Let b(a) = -3*a + a - 2*a + d*a....
{ "pile_set_name": "DM Mathematics" }
he common denominator of 76/9 and ((-20)/x)/((-3)/(-36))? 9 Let y be 12/138*(-6)/68. Let f = 26179/2346 - y. What is the common denominator of -63/4 and f? 12 Suppose 161 = 2*s + 159. Let l(v) be the second derivative of v**3/6 - 2*v**2 - v. What is the least common multiple of s and l(5)? 1 Suppose 0 = 6*b - 10 + 4. L...
{ "pile_set_name": "DM Mathematics" }
base 6) to base 9. -22238 -1589 (base 14) to base 12 -2285 What is -69a (base 11) in base 12? -597 15800 (base 10) to base 12 9188 Convert 174cc (base 15) to base 7. 432441 What is 3213432 (base 5) in base 6? 1055042 -a20 (base 11) to base 2 -10011010000 What is -1322 (base 4) in base 11? -101 Convert 2a0 (base 11) to ...
{ "pile_set_name": "DM Mathematics" }
6/7 - l*g. -3*(g + 1)*(g + 2)/7 Let l(u) be the second derivative of -16 + 0*u**2 - u**3 - 11/6*u**4 - 37/40*u**5 + 3*u - 1/12*u**6. Factor l(y). -y*(y + 1)*(y + 6)*(5*y + 2)/2 Let q be 17 - 14 - (1 - (-1 + 0)). Let s(u) be the first derivative of -1/2*u**2 + 2/3*u + 1/9*u**3 + q. Factor s(i). (i - 2)*(i - 1)/3 Let b(...
{ "pile_set_name": "DM Mathematics" }
56? (a) 54 (b) 4 (c) -1/8 a What is the closest to -22 in -30889, -1/4, 5? -1/4 What is the closest to -113.1 in 8, -3, -6, 9, -5/3? -6 What is the nearest to -513 in -1/6, 1/11, -1, -12? -12 Which is the nearest to 442? (a) -789 (b) 1/9 (c) 2 c Which is the nearest to -1/11? (a) -0.14 (b) 4 (c) 0.3 (d) -109 ...
{ "pile_set_name": "DM Mathematics" }
actors of 33115703? 37, 97, 9227 What are the prime factors of 856782? 2, 3, 47599 List the prime factors of 79927. 257, 311 What are the prime factors of 2027463? 3, 137, 4933 What are the prime factors of 4025791? 7, 11, 97 List the prime factors of 10105148. 2, 157, 16091 What are the prime factors of 6099226? 2, 7,...
{ "pile_set_name": "DM Mathematics" }
in 0, -0.4, r? 0 Let k be -27*26/(-26325)*15. Let z be ((-8)/(-12))/(0 + 1). Let t = -0.2 - -0.7. Which is the closest to k? (a) z (b) t (c) -4 b Let m(g) = -60*g**2 - 4*g - 23. Let o be m(-3). Let w = -1655/3 - o. Which is the closest to w? (a) 0.11 (b) 0.5 (c) -1 c Suppose 128*s = 109*s + 38. Let g = 6.3 + -6. ...
{ "pile_set_name": "DM Mathematics" }
m such that -2/9*m**c + 10/9*m - 4/3 = 0. 2, 3 Let z be 1/(3/24*2). Factor l**3 + 65*l**5 - 3*l**3 + 2*l**2 - 2*l**z - 63*l**5. 2*l**2*(l - 1)**2*(l + 1) Let u(t) = -5*t**4 + t**3 - 8*t**2 + 4*t - 8. Let h(a) = -14*a**4 + 4*a**3 - 24*a**2 + 12*a - 22. Let f(w) = 4*h(w) - 11*u(w). Determine c, given that f(c) = 0. 0, 1,...
{ "pile_set_name": "DM Mathematics" }
41*g**5/30 - g**4/24 + 92*g**2. Let x(h) = 3*h**2. What is j(x(p))? -738*p**4 - 3*p**2 Let q(z) = 3*z**2. Let g(l) be the second derivative of -l**4/3 - l**3/2 - 3*l + 2. Calculate g(q(b)). -36*b**4 - 9*b**2 Let w(x) = 5001*x**2. Let t(v) = -v**2. Give t(w(c)). -25010001*c**4 Let v(z) be the second derivative of 0*z**3...
{ "pile_set_name": "DM Mathematics" }
r when 9143 is divided by 176. 167 Calculate the remainder when 4153 is divided by 519. 1 Calculate the remainder when 85465 is divided by 4747. 19 Calculate the remainder when 1606800 is divided by 759. 756 What is the remainder when 88920 is divided by 353? 317 Calculate the remainder when 1098102 is divided by 5. 2 ...
{ "pile_set_name": "DM Mathematics" }
sest to 9 in -3, -1/6, 0.5, 75, 106/7? 106/7 Which is the nearest to 4/5? (a) -10 (b) -10.1 (c) 5 (d) -70 c Which is the closest to -15? (a) -14 (b) -1 (c) 616 a What is the nearest to -0.2 in -0.4, 1/3, 1, -8, -6, -458? -0.4 What is the nearest to 24 in 76, -0.01, 18, 243? 18 Which is the closest to 1/3? (a) -...
{ "pile_set_name": "DM Mathematics" }
-73 in ascending order. -73, -3, -1, 0 Put -5/6, -55, -5 in increasing order. -55, -5, -5/6 Sort 0.5, -5, 3, 4.31, -4 in decreasing order. 4.31, 3, 0.5, -4, -5 Sort 1, -4, -44, 15 in decreasing order. 15, 1, -4, -44 Put 6, -2, -132 in descending order. 6, -2, -132 Sort 16, -1, 0, -3. -3, -1, 0, 16 Sort 2/5, 0, -2/9, 3...
{ "pile_set_name": "DM Mathematics" }
2)/4 Let k(b) be the second derivative of -b**5/20 - b**4/2 - b**3 + 3*b**2 - 9*b. Let g be k(-5). Factor 6*n**3 + 0*n**3 - g + 14 - n**2 - 8*n**2. 3*(n - 1)**2*(2*n + 1) Let i(z) be the third derivative of -z**5/40 + 11*z**4/64 + 3*z**3/16 + 20*z**2. Determine t so that i(t) = 0. -1/4, 3 What is g in 0*g + 0 - 1/4*g**...
{ "pile_set_name": "DM Mathematics" }
z = 23 - -51. Let i = z + -73.9916. What is i rounded to 3 dps? 0.008 Let q = 300.187827 + -302.5877. Let x = 12 + -14.4. Let o = x - q. Round o to 5 decimal places. -0.00013 Let a = -393279.799 + 393037. Let d = -243 - a. Let c = d + 0.20099917. What is c rounded to seven dps? -0.0000008 Let l = 271 + -270.617. Round ...
{ "pile_set_name": "DM Mathematics" }
4 and -626047? 982011 Calculate 1584628033 + 0.429. 1584628033.429 What is 4006260899 - 148? 4006260751 What is 16 minus 757.5400078? -741.5400078 What is the difference between 21 and -4.51820078691? 25.51820078691 Total of 29171.257873 and -28. 29143.257873 Work out -26337.8 - -0.753922. -26337.046078 What is the dis...
{ "pile_set_name": "DM Mathematics" }
(2) - 34 Simplify ((-4*(sqrt(132) + sqrt(132)*-1 + sqrt(132)) + sqrt(132) - sqrt(132) - (sqrt(132) - -4*-1*sqrt(132)))/(((sqrt(144)*1 + sqrt(144))*2)/sqrt(12)) + -3)**2. 3*sqrt(11)/2 + 155/16 Simplify (((sqrt(270) + (sqrt(270) - 5*sqrt(270)) + sqrt(270) + sqrt(270))*-3)/sqrt(10))/((6*(sqrt(81) - 4*sqrt(81)))/sqrt(9)). ...
{ "pile_set_name": "DM Mathematics" }
What is the hundreds digit of h? 4 Suppose 0*w = 2*w - 6. Suppose -u + w*u - 4 = 0. Suppose 2*x = -n + 30, u*n - 2 = n + 5*x. What is the tens digit of n? 2 Suppose -3776 = 3*q + 4*l, q + 4*l - 211 + 1475 = 0. What is the hundreds digit of q/(-10) - (-24)/(-40)? 1 Let z(c) = 6*c**2 - 5*c + 1. What is the tens digit of...
{ "pile_set_name": "DM Mathematics" }
s 234321 - 140223? 44043 In base 15, what is -d0 + 48ed? 481d In base 12, what is -b - 400b8a? -400b99 In base 7, what is -1613 + -352414? -354330 In base 11, what is 668060 - 25? 668036 In base 3, what is 11 + 111220201211212? 111220201212000 In base 3, what is 10211100 + 202022201? 220011001 In base 8, what is 0 - -5...
{ "pile_set_name": "DM Mathematics" }
+ 0*y as g*y**3 + l*y + r + n*y**2 and give r. -1 Express 65 - 65 - 42*u as b*u + x and give b. -42 Express -q**2 - 2*q**2 - 6*q**2 - q + 6*q**2 as c + s*q**2 + o*q and give o. -1 Express -6 + 6*v**2 + 4 + 2 as i + f*v + n*v**2 and give n. 6 Rearrange 13*j - 3*j - 7*j + 18*j to g*j + a and give g. 21 Rearrange -j + 67*...
{ "pile_set_name": "DM Mathematics" }
+ 5 = a*v for v. 0 Let i be 3/(-3 + (-483)/(-154)). Let d be 20/(-4)*i/(-55). Solve 4*p = 4*t, -3 - 1 = d*p + 2*t for p. -1 Let g(w) = 12*w + 22. Let b be g(-13). Let h = -134 - b. Solve h = -2*t - 2*l, -4*t = 3*l + 5 - 2 for t. -3 Let z = -332 + 336. Suppose -4*o = z*y - 8, 0 = -3*o - o - 3*y + 8. Solve 7*f - 4*r + 12...
{ "pile_set_name": "DM Mathematics" }
f(a)). -8*a Let s(v) = 46*v. Let k(c) = -3*c**2. Calculate k(s(h)). -6348*h**2 Let y(u) be the first derivative of 17*u**3/3 + 4. Let d(g) = g**2. What is d(y(q))? 289*q**4 Let d(k) = k - 4*k + 11*k - 5*k. Let o(r) = -6*r**2. Give d(o(z)). -18*z**2 Let y(n) = n. Let h = -45 + 45. Let u(s) be the third derivative of 2*s...
{ "pile_set_name": "DM Mathematics" }
3) + 2*sqrt(1573) + sqrt(1573) - sqrt(1573)) + sqrt(1573))*-6 - (1 + 0 + sqrt(1573))))*4)**2. 25728*sqrt(13) + 14939536 Simplify (sqrt(27) - (sqrt(27) + sqrt(27) + sqrt(81)/(sqrt(9)/sqrt(3))))/(1*sqrt(729)) + (sqrt(21)/(3*sqrt(7)) - (sqrt(3) + sqrt(75) + -5)**2) + -1. -134 + 541*sqrt(3)/9 Simplify (5 + (-4*(sqrt(252) +...
{ "pile_set_name": "DM Mathematics" }
70. 6 Divide 16 by 202. 8/101 Calculate 126 divided by 63. 2 1302 divided by -434 -3 Divide -4 by -16. 1/4 0 divided by 663 0 3762 divided by -38 -99 Divide 4 by -873. -4/873 Divide 1 by 64. 1/64 Calculate -47760 divided by 40. -1194 -560 divided by -1 560 Divide 3906 by -6. -651 What is 0 divided by -2? 0 Divide 52856...
{ "pile_set_name": "DM Mathematics" }
6. Let a be z(-4). Let i(j) = -j - 2. Let w be ((-4)/10)/(11/(-110)). Determine a*i(t) + w*y(t). -2*t Let t(u) = -21*u**3 - 7*u**2 + 5*u - 1. Let w(i) = -11*i**3 - 4*i**2 + 3*i - 1. Determine -3*t(c) + 5*w(c). 8*c**3 + c**2 - 2 Let q(k) = 13*k**3 - 6*k**2 + 6*k. Let s(h) = -25*h**3 + 13*h**2 - 13*h. Determine -13*q(n) ...
{ "pile_set_name": "DM Mathematics" }
1 (c) -1 c Let x = -2.93 + 2.7. Let h = x + -0.07. Which is the nearest to -2/13? (a) h (b) 2 (c) -1/3 a Let k = 45.1 - 47. Let c = -1.1 + k. What is the closest to 1 in -2/3, -2, c? -2/3 Let w = -1.88 + 1.68. Suppose -5 - 25 = -5*u. Suppose -2*z - u = -2*x, 3*z - 12 = 8*z - 2*x. What is the closest to -0.1 in -1, ...
{ "pile_set_name": "DM Mathematics" }
t c = v + 14. Is (-1)/3 - (-26)/c even? True Let s(v) = -45*v. Suppose 3 = -3*z - 0*z. Does 15 divide s(z)? True Suppose -14*b + 3000 = -2*b. Is b a multiple of 25? True Is (-9)/21 + (-135)/(-21) a multiple of 2? True Let a(n) = -45*n + 13. Let c be a(-9). Let k be c/8 + (-1)/4. Suppose -k = -5*x + 8. Is 6 a factor of ...
{ "pile_set_name": "DM Mathematics" }
git of q? 1 Let c = 22 + -12. What is the units digit of c? 0 Let u = 34 - 23. Let b be 1*2*u/2. Suppose a - 4 = -q, q = -b*a + 6*a - 4. What is the units digit of q? 6 Let o(t) = -t**2 - 12*t - 10. Let u = 2 + -12. What is the units digit of o(u)? 0 Let l be 2 - 1*(-3)/3. Let j(o) = -3*o**l + 4*o**3 + 0*o - 8 - 2*o + ...
{ "pile_set_name": "DM Mathematics" }
by 132. 50 Calculate the remainder when 951080 is divided by 15591. 29 What is the remainder when 478423 is divided by 159444? 91 What is the remainder when 1593078 is divided by 279? 267 Calculate the remainder when 41931 is divided by 6. 3 Calculate the remainder when 3667414 is divided by 523915. 9 What is the remai...
{ "pile_set_name": "DM Mathematics" }
4/5 a Which is the closest to -0.1? (a) 2/3 (b) 296 (c) -4/3 (d) -2.11 a Which is the closest to 0.2? (a) -10 (b) 0.3 (c) -17/4 (d) 1/4 d Which is the closest to 3.2? (a) -22 (b) 0.2 (c) -4 b What is the closest to 2/9 in -4, -5/8, 0.4, 2/11, -1/2? 2/11 Which is the closest to 0? (a) 0.5 (b) -5 (c) 10332...
{ "pile_set_name": "DM Mathematics" }
. Let z(s) = -3*f(s) - 4*o(s). Let j(d) = -d**2 - 2*d + 1. Let p be j(1). Give z(p). -26 Suppose 6*l = -51*l + 399. Let y(d) = -d + 3. Let o(m) = -m + 4. Let n(x) = -5*o(x) + 6*y(x). What is n(l)? -9 Suppose 125*r + 501 + 787 = -837. Let i(a) = -a**2 - 24*a - 119. What is i(r)? 0 Suppose -20*j - 6 = -23*j. Let p be 0/(...
{ "pile_set_name": "DM Mathematics" }
e lowest common multiple of 36603 and 36603. 36603 Calculate the least common multiple of 703725 and 767700. 8444700 What is the common denominator of -42/95 and -22/48225? 916275 Calculate the least common multiple of 5265 and 1125. 131625 What is the least common multiple of 1444 and 456? 8664 Calculate the least com...
{ "pile_set_name": "DM Mathematics" }