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z(r). Let x(p) = p. Determine f(x(h)). 7*h Let g(z) be the third derivative of z**5/15 - 232*z**2. Let p(l) = 41*l - 3. Give g(p(s)). 6724*s**2 - 984*s + 36 Let f(g) = -127*g. Let b(n) = -4*n**2 + 13*n**2 - 4*n**2 - 7*n**2. Determine b(f(l)). -32258*l**2 Let j(z) = -z**2. Let w(t) = -13406*t. Calculate w(j(b)). 13406*...
{ "pile_set_name": "DM Mathematics" }
*4 + 1038*n**3 - n**2 - 4*n**4 - 2 + 2*n - 3125*n**3 + 1032*n**3 in the form g*n**3 + q + l*n**2 + j*n + t*n**4 and give l. -1 Rearrange 3030*p + 3 + 5569*p + 486*p - 3 to k + q*p and give k. 0 Express -1 + 3*w**2 + 1 + (w - 2*w + 2*w)*(0*w - w + 0*w) + (-3*w + 2*w + 2*w)*(4*w - 4*w + 2*w) - 5*w**2 - 12*w + 12*w in the...
{ "pile_set_name": "DM Mathematics" }
71009 a prime number? False Is 14825333 a prime number? True Is 42443239 composite? False Is 6555833 prime? True Is 30588361 composite? True Is 338453603 prime? False Is 103921045 prime? False Is 2746069 a prime number? False Is 148217369 a prime number? True Is 5646149 prime? False Is 20240431 composite? False Is 105...
{ "pile_set_name": "DM Mathematics" }
is the tens digit of 36456? 5 What is the units digit of 3841? 1 What is the units digit of 4207? 7 What is the hundreds digit of 2714? 7 What is the thousands digit of 7646? 7 What is the units digit of 13019? 9 What is the ten thousands digit of 137484? 3 What is the thousands digit of 8218? 8 What is the units digi...
{ "pile_set_name": "DM Mathematics" }
for w. 4 Solve 2 = 5*m - 2*u, 4*m + 462*u = 461*u + 12 for m. 2 Solve 3*d + 2*k = 85, -375*d + 3*k = -379*d + 114 for d. 27 Solve -3*j + 380*q - 384*q - 14 = 0, -4*j = 99*q + 206 for j. -2 Solve 2*v - 2*a - 12 = 0, 79*v + 8 = 72*v - 3*a for v. 1 Solve 67*t = 63*t + 20, -11*r - 4*t = 35 for r. -5 Solve -20*v + 4*k - 60...
{ "pile_set_name": "DM Mathematics" }
ommon denominator of k and l. 22 Suppose -4*x = 4*u - 8*x - 24, 0 = 5*u - x - 38. What is the least common multiple of u and 38? 152 Find the common denominator of 83/18 and ((-35)/70)/(3/(390/8)). 72 Suppose n - u = u + 15, -35 = -2*n + 5*u. Suppose -4*s + 6*s - 4 = 0. What is the least common multiple of s and n? 10 ...
{ "pile_set_name": "DM Mathematics" }
t k(l) = -2*l**3 + 2*l**2 + l. Let d be k(-1). What is p(d)? -1 Suppose 4*h - 101 = 139. Suppose -v + 10 = 5*n, -4*v + 12 - h = -2*n. Let w(c) = -c + 1. Determine w(v). 11 Suppose 0 = 5*t - 0*t - 20. Suppose 0*o = 2*u + 5*o - 1, -u - 4*o = t. Let i(x) = -20*x**2 - x + 8*x**2 + u*x**2 - x**3. What is i(-3)? -6 Let a = -...
{ "pile_set_name": "DM Mathematics" }
652*z + 475*z) + (-2 - 1 + 2)*(3 - 3 + z**2). 7483*z**2 Expand (1 - 2*y - 1)*(-2 - 4 + 4) - 20*y + 18*y - 9*y + 294 + y - 57 + 146. -6*y + 383 Expand (-2 + 5 + 6)*(-2*o + 0*o - 2*o)*(-11 - 10 + 6)*(7*o**3 - 27 - 26 + 50). 3780*o**4 - 1620*o Expand (0*y**2 + 0*y**2 - y**2)*(-y**3 + 3*y**2 - 3*y**2) + 130*y**5 - 46126*y*...
{ "pile_set_name": "DM Mathematics" }
= 906*v**2 + 47*v. Let m(i) = i + 2. Give b(m(u)). 906*u**2 + 3671*u + 3718 Let a(u) = 123*u**2. Let j(n) = -35*n**2 - 22. Let z(h) = 16*h**2 + 10. Let r(s) = 5*j(s) + 11*z(s). Give a(r(t)). 123*t**4 Let z(x) = -6*x. Suppose -2*y + 32 = -5*b, 5*b + 27 = 5*y - 23. Suppose 31*t - y = 28*t. Let s(g) = 11*g**2 - 27*g**t +...
{ "pile_set_name": "DM Mathematics" }
0.4938. 0.1938 Work out -0.596 + 5.09. 4.494 Work out -2.928 + -3. -5.928 Calculate -42 + -73125. -73167 What is 0.02 + -15.72? -15.7 What is -2.4 take away -626815? 626812.6 90.3 + 29 119.3 Subtract 9.4 from -0.1083. -9.5083 37291 - -0.12 37291.12 Total of -6 and 92. 86 Work out 4 - 4896. -4892 What is 0.15 + -153112?...
{ "pile_set_name": "DM Mathematics" }
440 + 4440 - 1182)*(-18*q**2 + 2*q**2 + 11*q**2) to h + n*q + y*q**2 and give y. -48490 Rearrange 13178305*o**2 - 5 - 3*o + 5*o + 4 - 13178332*o**2 - 4*o**3 to the form q*o**2 + k + l*o + n*o**3 and give l. 2 Rearrange -b**4 + 2 - 8*b**2 + b**3 - 6*b + 24*b - 8*b**2 + 15*b**2 - 3*b**2 to the form j*b + w + q*b**4 + s*b...
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 64 and 647133568. 64 Calculate the greatest common divisor of 37404864 and 1536. 192 Calculate the greatest common divisor of 66196 and 2561. 13 What is the highest common divisor of 7638 and 45543? 57 What is the highest common factor of 1982610 and 4320? 270 What is the highest common div...
{ "pile_set_name": "DM Mathematics" }
j be a(4). Give j*i(v) + 2*b(v). 8*v - 2 Let d(s) = 3*s**3 - 5*s**2 - 8*s + 5. Let j(f) be the second derivative of -3*f**5/4 + 2*f**4 + 13*f**3/2 - 12*f**2 + 2542*f. What is 24*d(r) + 5*j(r)? -3*r**3 + 3*r Let h(c) = -c**3 - c**2 - c. Let y(x) = 2*x**3 + x + 9. Let q(n) = -n**3 + 9*n**2 + 9*n - 163. Let u be q(6). Cal...
{ "pile_set_name": "DM Mathematics" }
15.6 + 0.4. Let z = -14 + p. Let y = 20491/35 - 4101/7. What is the second biggest value in 0.3, z, y? 0.3 Let n = 11653 + -11656. Which is the third smallest value? (a) -0.1 (b) n (c) -186 (d) 7/4 a Let r = -25.604 + 12.604. Which is the third smallest value? (a) 0.15 (b) r (c) 0.3 c Let z be 655*6*(-2)/(-36). ...
{ "pile_set_name": "DM Mathematics" }
13, -3018, -3161? -3348 What comes next: 3398, 6798, 10198? 13598 What comes next: 249, 336, 423, 510, 597, 684? 771 What comes next: -29130, -58261, -87390, -116517, -145642, -174765? -203886 What is next in 1776, 1779, 1782, 1785, 1788? 1791 What is next in 176, 350, 524, 698, 872? 1046 What comes next: -240, -454, -...
{ "pile_set_name": "DM Mathematics" }
lculate the common denominator of -59/9240 and 23/24360. 267960 What is the least common multiple of 123048 and 15381? 123048 Calculate the common denominator of 87/39880 and -187/480. 478560 What is the common denominator of -79/16 and 57/567344? 567344 Calculate the common denominator of -73/8 and -55/81778. 327112 C...
{ "pile_set_name": "DM Mathematics" }
-17.35 - -17.85. Let t = 0.1 + -0.2. What is the nearest to t in 2/19, -0.1, k? -0.1 Let z = -5 + 4.87. Let s = -178 - -178.87. Let o = s - z. Which is the nearest to 2? (a) -2/13 (b) o (c) -0.4 b Let v = 551 + -1654/3. What is the nearest to v in 3, 0, -0.1, 0.4? -0.1 Let d = -55 + 166/3. Which is the closest to d?...
{ "pile_set_name": "DM Mathematics" }
079926 -1382 * 0.01 -13.82 What is 0.1 times -0.40851? -0.040851 -1 * 428148 -428148 -46 * 0.0923 -4.2458 Work out 10919 * 0.14. 1528.66 -0.321 * 17878 -5738.838 Multiply 2 and -27853.9. -55707.8 -552 times 56.5 -31188 What is the product of -1754 and 0.2? -350.8 What is -3 times -37.01? 111.03 -0.6 * 527.1 -316.26 0.7...
{ "pile_set_name": "DM Mathematics" }
i, 1, -0.1 in descending order. 1, -0.1, i Let r = -6 + 4. Let w be 0/2 - -2 - 5. Put 7, r, w in descending order. 7, r, w Suppose 12*r + 10 = 14*r. Sort r, 2, 0. 0, 2, r Let a(s) = s - 2. Let q be a(6). Suppose -q*h + h = 12. Sort h, -1, 1 in ascending order. h, -1, 1 Let f be -1 - (-1 + 1 + 0). Let m be f/(1/(-3)) - ...
{ "pile_set_name": "DM Mathematics" }
term of 101666, 101895, 102114, 102317, 102498, 102651? -v**3 + v**2 + 233*v + 101433 What is the f'th term of -118710, -474838, -1068384, -1899348, -2967730, -4273530, -5816748? -118709*f**2 - f What is the r'th term of 109227, 218377, 327527? 109150*r + 77 What is the s'th term of 135668, 135740, 135812, 135884? 72*s...
{ "pile_set_name": "DM Mathematics" }
s -1 + (6 - 4) - (1 - 1)? 1 Calculate 10 + -11 + 5 - 9. -5 What is 6 + -1 - (-3 + 0) - 9? -1 What is the value of -2 + (4 - (-2 - -3))? 1 Evaluate -8 + -3 + 10 + -3. -4 Calculate -9 - ((1 - 0) + 0 - 5). -5 What is the value of (-1 - (6 - (3 + 1))) + 8? 5 What is the value of 7 + 1 + (1 - 6)? 3 What is 4 + -1 + 14 + 7 +...
{ "pile_set_name": "DM Mathematics" }
h*q**2 + i*q**4 + d*q and give i. 1 Express 39*a**2 - 10*a**2 + a - 216*a**2 - 4*a as y*a + b + h*a**2 and give y. -3 Rearrange -2*f + 0*f**3 + 12 + 9*f**3 - f**2 - 3*f**4 + 9 + 0*f**2 - 19 to the form j*f**2 + k*f**4 + z*f**3 + i*f + y and give y. 2 Rearrange (-2*c**3 + 3*c - 3*c)*(c + 1 - 1) + 19*c**4 + 0*c**2 - 5303...
{ "pile_set_name": "DM Mathematics" }
/3)/(-2)? -2/19 Evaluate (1/(54/90))/((-580)/24). -2/29 What is the value of (7*48/(-168))/(3*17)? -2/51 What is the value of ((-17)/816*18)/(6/(-16))? 1 Calculate (-15*4/8)/(540/1296). -18 Calculate (((-2304)/624)/24)/((-8)/(-26)). -1/2 What is -1*((24/8)/(-6))/((-2)/28)? -7 Evaluate ((-11)/(132/(-84)))/(1/4*2). 14 Wh...
{ "pile_set_name": "DM Mathematics" }
AM and 6:04 PM? 568 How many minutes are there between 1:46 PM and 7:03 PM? 317 What is 690 minutes before 5:01 PM? 5:31 AM How many minutes are there between 3:08 AM and 5:09 AM? 121 What is 300 minutes after 11:19 AM? 4:19 PM What is 386 minutes before 2:47 AM? 8:21 PM What is 289 minutes after 4:47 AM? 9:36 AM What ...
{ "pile_set_name": "DM Mathematics" }
100? 4600 Round -33015.5 to the nearest 10000. -30000 Round -0.00004935768 to seven dps. -0.0000494 Round 0.009139555 to 5 dps. 0.00914 What is 73.23531 rounded to 0 dps? 73 What is -0.0001212406 rounded to 7 decimal places? -0.0001212 What is -0.006962454 rounded to 6 decimal places? -0.006962 Round 2180400 to the nea...
{ "pile_set_name": "DM Mathematics" }
ond biggest value? (a) 2 (b) -4 (c) 9/2 a What is the third biggest value in 6, -0.2, 3? -0.2 Which is the fourth biggest value? (a) -4 (b) 0.05 (c) -2/7 (d) 0.4 a What is the second smallest value in -5, -2, -2/45, 8/11? -2 Which is the smallest value? (a) 3/2 (b) -6 (c) 0.4 b What is the biggest value in 5,...
{ "pile_set_name": "DM Mathematics" }
ivided by 4383. 1170 What is the remainder when 31853540 is divided by 29? 27 Calculate the remainder when 462467 is divided by 20106. 29 What is the remainder when 2291146 is divided by 7? 4 What is the remainder when 268288054 is divided by 73? 60 Calculate the remainder when 108136109 is divided by 312532. 37 What i...
{ "pile_set_name": "DM Mathematics" }
437 - 7157? 206260 In base 2, what is 111011001001011 + -1010000110110? 110001000010101 In base 14, what is 514c + -c2? 506a In base 7, what is 6065260506 - -2? 6065260511 In base 12, what is -1b73b0bb - -b? -1b73b0b0 In base 4, what is 2 + -13131111111? -13131111103 In base 8, what is -64053217 - -23? -64053174 In bas...
{ "pile_set_name": "DM Mathematics" }
u*w + 3*y, -6*y + 16 = w - 2*y. What is the units digit of w? 6 Suppose 3*w - 2*w + 2*p - 42 = 0, -4*p - 96 = -3*w. Suppose w = -2*g - 0*g. What is the units digit of 4/g*-6*3? 4 Suppose 96 = -2*u + 8*u. What is the units digit of u? 6 Let j(w) = -w**2 + 7*w - 8. Let r be j(6). What is the tens digit of ((-19)/r)/(2/4...
{ "pile_set_name": "DM Mathematics" }
c*j(x) - 8*s(x). 11*x**3 Let l(w) = 2*w - 4. Let b(o) = -14*o + 15. Determine -3*b(k) - 15*l(k). 12*k + 15 Let a(v) = 7*v**2 + 33*v + 1. Let d(s) = 6*s**2 + 35*s + 1. Determine 5*a(j) - 6*d(j). -j**2 - 45*j - 1 Let d(x) = 75*x**2 - 8*x + 4. Let p(t) = -215*t**2 + 23*t - 11. Determine -17*d(a) - 6*p(a). 15*a**2 - 2*a - ...
{ "pile_set_name": "DM Mathematics" }
-0*o + o. Suppose g + 1 = v, o*g + v = -0*g + 11. Let l = 5 + g. Is l a prime number? True Suppose -3*w - 1871 - 682 = 0. Let m = -441 - w. Let n = -147 + m. Is n composite? False Let l = 10 + -1. Suppose 2*h = 3*y + l, -y + 39 = 4*h - 0*y. Suppose -4*n - 95 = -h*n. Is n a prime number? True Let t be 724/(-1)*(0 - 1). ...
{ "pile_set_name": "DM Mathematics" }
. 1895608 Convert 59208a (base 11) to base 3. 1202202010211 What is -1312550 (base 7) in base 16? -29dad What is -75ade (base 15) in base 9? -628562 -64c58 (base 14) to base 8 -734276 What is 218075 (base 9) in base 6? 2444235 What is -1444677 (base 10) in base 12? -598059 What is 56410154 (base 7) in base 14? 9153d4 C...
{ "pile_set_name": "DM Mathematics" }
- o**5/90 - 5*o**4/6 + 24*o**2. Let d(w) be the second derivative of u(w). Factor d(y). -2*(y + 1)**2*(y + 2)/3 Let d(n) be the first derivative of 29 - 1/6*n**3 + 1/12*n**6 + 0*n**2 - 1/8*n**4 + 0*n + 1/10*n**5. Suppose d(s) = 0. Calculate s. -1, 0, 1 Let t(s) be the first derivative of -10/3*s**2 + 40/9*s**3 + 1/3*s*...
{ "pile_set_name": "DM Mathematics" }
1440*x**2 + 768*x = 0. What is x? -16, 0, 1 Let -2*k**5/19 + 172*k**4/19 - 662*k**3/19 + 484*k**2/19 + 664*k/19 - 656/19 = 0. Calculate k. -1, 1, 2, 82 Factor f**3/4 + 5*f**2/2 + 29*f/4 + 5. (f + 1)*(f + 4)*(f + 5)/4 Suppose -3*p**2 - 24*p + 1404 = 0. What is p? -26, 18 Factor h**5/4 + 1061*h**4/4 - 2125*h**3/4 + 1063*...
{ "pile_set_name": "DM Mathematics" }
-p - 1. Let u(r) = -i(r) + 5*t(r). Give k(u(v)). -9*v Let g(s) = 2*s + 2*s - 2*s. Let y(r) = -r**2 + 1. Let v(w) = -w**2 + 4. Let h(f) = -v(f) + 4*y(f). Calculate h(g(b)). -12*b**2 Let x(c) = 113*c**2 + 41. Let l(t) = -t**2. Give x(l(i)). 113*i**4 + 41 Let l(g) = -165*g**2. Let d(o) = 5*o**2. Calculate l(d(b)). -4125*...
{ "pile_set_name": "DM Mathematics" }
erivative of -102884630*k**5 + 28455097*k**2. -6173077800*k**2 What is the first derivative of -475368*f**2 + f + 52343798 wrt f? -950736*f + 1 Find the third derivative of 6509*u**4 + 8873*u**3 + 122888616*u**2. 156216*u + 53238 Find the first derivative of 264*h**4 - 4882*h**2 - 68064379 wrt h. 1056*h**3 - 9764*h Fin...
{ "pile_set_name": "DM Mathematics" }
nd 2? 1 Calculate the greatest common divisor of 9 and 144. 9 What is the highest common factor of 87 and 203? 29 What is the greatest common divisor of 8 and 64? 8 What is the greatest common divisor of 200 and 31500? 100 What is the greatest common factor of 33 and 44? 11 What is the greatest common divisor of 450 an...
{ "pile_set_name": "DM Mathematics" }
24*k Let j(y) be the second derivative of 5*y**3/6 - 2*y**2 + y. Differentiate j(i) wrt i. 5 Let q(b) = -14*b**4 - 5*b**3 - 14*b. Let h(c) = -238*c**4 - 84*c**3 - 238*c. Let g(v) = -5*h(v) + 84*q(v). What is the second derivative of g(p) wrt p? 168*p**2 What is the second derivative of 9*o**2 + 17*o**2 + 38*o - 81*o w...
{ "pile_set_name": "DM Mathematics" }
2066? 2 What is the ten thousands digit of 15868? 1 What is the units digit of 265? 5 What is the hundreds digit of 1995? 9 What is the tens digit of 4344? 4 What is the thousands digit of 2892? 2 What is the ten thousands digit of 148166? 4 What is the hundreds digit of 4926? 9 What is the tens digit of 609? 0 What is...
{ "pile_set_name": "DM Mathematics" }
-2*i + 39, -f*p + 14 = 2*i. Let q(z) = -z + 8 - z + 6 - i. Give q(4). -6 Let o(q) = -1123*q + 1160*q + 8 + 32. Give o(-1). 3 Let k be ((-742)/848)/(2/16). Let l(d) = 2*d**2 + 20*d + 35. Determine l(k). -7 Suppose 5 - 1 = 4*l. Let u be l/(-3) - 19/(-3). Let g(b) = b**3 + b**2 - 2*b - 1. Let c(i) = -5*i**3 + 2*i**2 + 9*i...
{ "pile_set_name": "DM Mathematics" }
u be 0/((-55)/11) - (-4)/2. Sort 23, u, -3 in decreasing order. 23, u, -3 Let h be (6 + (-192)/34)*8/(-24). Let m = -1 + 1. Sort h, m, -2/11. -2/11, h, m Let r be 251/(-753) + 41/(-3) + 1. Suppose 0*o - o - 4 = 0. Put o, r, 2 in descending order. 2, o, r Let m(k) = 3*k**2 - 3*k - 3. Let d be m(3). Suppose -5*z - d = -...
{ "pile_set_name": "DM Mathematics" }
88 = 64*t for t. -5 Solve 80*m = 104*m + 336 for m. -14 Solve -29*g + 871 = 11*g + 27*g for g. 13 Solve 151*b = 7400 - 4078 for b. 22 Solve -27*v + 356 = 590 - 288 for v. 2 Solve -4507 = 29*a - 4507 for a. 0 Solve -10*i + 17*i - 11 + 32 = 0 for i. -3 Solve -452*s + 1943 = -317 for s. 5 Solve 27*y - 688*y - 14508 = 145*...
{ "pile_set_name": "DM Mathematics" }
7 a composite number? False Is 42957165409 composite? False Is 963599467 composite? True Is 192133671559 a prime number? False Is 1757994163 composite? False Is 6489585059 prime? True Is 293234113 composite? False Is 7072694897 prime? False Is 49677289201 a prime number? True Is 826907579 a composite number? False Is 1...
{ "pile_set_name": "DM Mathematics" }
y? 5520 Convert 726305.5l to millilitres. 726305500 What is eleven tenths of a week in minutes? 11088 How many nanometers are there in eleven quarters of a micrometer? 2750 How many litres are there in 17.49813ml? 0.01749813 Convert 0.2838158 microseconds to nanoseconds. 283.8158 What is eleven quarters of a millisecon...
{ "pile_set_name": "DM Mathematics" }
2, z, 3, 36 Suppose -64 = 46*c - 78*c. Suppose 0*s + 4*s + 8 = 0. Let t(n) = -5*n**2 + 1. Let b be t(1). Put s, b, c in ascending order. b, s, c Suppose -13*d + 83 = 148. Sort 3, d, -24, 4. -24, d, 3, 4 Let y(l) be the third derivative of l**5/60 - l**4/8 - l**3/2 + 8*l**2. Let d be y(2). Let p = 198 + -1581/8. Sort 5,...
{ "pile_set_name": "DM Mathematics" }
(z) = -z**2 - z - 2. Let u = 374 + -372. Suppose u*g = 2*h + 8, 2*h = -0*g + 5*g - 11. Calculate b(h). -8 Let y(q) = q**2 - 15*q + 12. Let k be (-3860)/35 - (-4)/14. Let t = 124 + k. Determine y(t). -2 Suppose -420 = -3926*o + 3891*o. Let l(b) = -b**2 + 16*b - 8. Let z(k) = 2*k**2 - 31*k + 16. Let f(a) = 5*l(a) + 3*z(a...
{ "pile_set_name": "DM Mathematics" }
wo letters picked without replacement from jpppppglj. 1/36 Three letters picked without replacement from vvvvv. Give prob of sequence vvv. 1 Two letters picked without replacement from ddddyddddpddydddd. What is prob of sequence py? 1/136 Two letters picked without replacement from qiqiqiqqiq. What is prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
*2 Factor -2000*h**3 + 1400*h**2 + 555*h + 45. -5*(h - 1)*(20*h + 3)**2 Find a, given that -2*a**5/3 + 10*a**4 - 106*a**3/3 - 86*a**2/3 + 92*a + 224/3 = 0. -1, 2, 7, 8 Factor 5*j**2 + 735*j + 2160. 5*(j + 3)*(j + 144) Suppose 3*j**3 + 9*j**2 - 39*j - 45 = 0. Calculate j. -5, -1, 3 Factor -s**3/4 + 85*s**2/4 + 173*s/4 +...
{ "pile_set_name": "DM Mathematics" }
44, -273, -392, -495, -576, -629? -648 What is the next term in 136, 269, 402? 535 What is the next term in -90, -120, -170, -240, -330, -440? -570 What comes next: -19, -67, -145, -253? -391 What is next in 810, 809, 808? 807 What comes next: 11, 37, 79, 137, 211, 301, 407? 529 What is next in -91, -156, -207, -238, -...
{ "pile_set_name": "DM Mathematics" }
t common multiple of i and 17/3 - ((-630)/27 + 25). 164 Let j be (-7)/21*14 - 2/6. Find the common denominator of ((-297)/6072)/(j/36) and 25/26. 2990 Let z be (219324/7)/((-3)/(-2)). Let s = -3843377/184 + z. Let h = 1/23 + s. Find the common denominator of h and 65/24. 24 Let b(t) = 124*t**2 + 249*t + 5. What is the ...
{ "pile_set_name": "DM Mathematics" }
*2 - 5*z + 648 What is the w'th term of -134, -184, -234, -284? -50*w - 84 What is the s'th term of -441, -439, -437, -435, -433, -431? 2*s - 443 What is the z'th term of 4, -6, -10, -2, 24, 74, 154, 270? z**3 - 3*z**2 - 8*z + 14 What is the u'th term of -18, -27, -44, -69, -102, -143? -4*u**2 + 3*u - 17 What is the p'...
{ "pile_set_name": "DM Mathematics" }
= -4375.13 - -95.13. Let s = 4279.8081 + b. Round s to 3 decimal places. -0.192 Let n = -159875287 + 346617171. Suppose q = -2, 5*q - 60158106 = 3*l + n. Round l to the nearest 1000000. -82000000 Let q = 3836 + -3836.6652. Round q to two decimal places. -0.67 Let s = -90328.1962 - -90358. Let t = s - 29.8. Round t to ...
{ "pile_set_name": "DM Mathematics" }
= -n. Let y be (8 + 0)*n/(-4). Let z(b) be the second derivative of b**4/12 + 5*b**3/6 - b**2 + 2*b. Determine z(y). -6 Let x(b) = b. Suppose 6*l + 33 - 3 = 0. What is x(l)? -5 Let g(r) = -3*r - 5. Let i(s) = 5 - 3*s - 3 + s + 4*s. Let d(w) = -2*g(w) - 5*i(w). Calculate d(2). -8 Let v(q) = q - 5. Let i be v(7). Let c(z...
{ "pile_set_name": "DM Mathematics" }
Suppose -3*x + g = 2*l + l, -l - 2*x = -58. Calculate the highest common factor of l and 8. 8 Let t be (5/4)/(9/36). Suppose -4*o - j + 14 = -1, -20 = o + t*j. Calculate the highest common factor of 10 and o. 5 Suppose -f = 3*x - 2*f - 85, -4*f = 4. What is the greatest common divisor of x and 112? 28 Let g = -63 + -4...
{ "pile_set_name": "DM Mathematics" }
**2 - l - 2. Suppose 0 = 8*x - 4*x - 160. Let a = x - 5. What is the remainder when a is divided by q(-4)? 17 What is the remainder when 172*(-2)/(-12)*12/8 is divided by 15? 13 Suppose -6*q + 357 = q. What is the remainder when q is divided by 18? 15 Let q(g) = -6*g - 33. Let f(a) = 12*a**2 + a - 1. What is the remain...
{ "pile_set_name": "DM Mathematics" }
third derivative of -k**4/24 - 2*k**2. Let f be s(-2). Let p(i) = 4 - 3*i**2 + 2*i**2 - f*i + 1 + 7*i. What is p(4)? 9 Let n(s) = s**2 - s - 1. Let u(i) = 7*i**2 + i - 7. Let q(r) = 6*n(r) - u(r). Determine q(-6). 7 Let d(f) = 3*f - 41. Let j(x) = 10*x - 154. Let r(c) = -7*d(c) + 2*j(c). Let k = -1 - -1. Calculate r(k)...
{ "pile_set_name": "DM Mathematics" }
ent from {s: 5, z: 1, m: 4, v: 2, b: 2}. Give prob of sequence sz. 5/182 Three letters picked without replacement from {m: 5, g: 6, z: 4}. Give prob of sequence mmm. 2/91 What is prob of sequence wott when four letters picked without replacement from {w: 1, d: 5, o: 8, t: 3, f: 2}? 1/1938 What is prob of sequence zl wh...
{ "pile_set_name": "DM Mathematics" }
*(d + 1)/4 Suppose -95*p + 119*p = 72. Factor -4/17 - 2/17*b + 2/17*b**p + 4/17*b**2. 2*(b - 1)*(b + 1)*(b + 2)/17 Solve -4*v**3 + 0*v**3 + 296352 + 504*v**2 - 8179*v - 12989*v = 0 for v. 42 Let a(q) = -q**3 - 5*q**2 + 9*q - 14. Let j be a(-7). Find i, given that -j*i + 3*i**2 + 18 + i**2 - i**2 = 0. 1, 6 Let r(f) be t...
{ "pile_set_name": "DM Mathematics" }
0.06 (d) -0.1 (e) 0.3 (f) -35 e Which is the fourth smallest value? (a) -290 (b) -2/5 (c) 202 (d) -0.3 c What is the biggest value in 1/6, 1/19, 0.1, -109/609? 1/6 Which is the smallest value? (a) -2/273 (b) -0.4 (c) -8 (d) 4 (e) -3/4 (f) -52/3 (g) 0.3 f Which is the smallest value? (a) -1 (b) 1.21 (c)...
{ "pile_set_name": "DM Mathematics" }
= -101447/33 + 3073. Let x = w + 251/132. Factor -1/4*q**4 + x*q**2 + 1/4*q - 1/4*q**3 - 1/2. -(q - 1)**2*(q + 1)*(q + 2)/4 Let h(f) = -172*f + 364. Let m(s) = -s**2 - 6. Let v(g) = h(g) + 2*m(g). Determine c so that v(c) = 0. -88, 2 Suppose -5046 - 2/3*p**2 + 116*p = 0. What is p? 87 Let r(h) be the second derivative...
{ "pile_set_name": "DM Mathematics" }
ed by 9120? 386 Calculate the remainder when 13269024 is divided by 3955. 3954 What is the remainder when 3566071 is divided by 89142? 391 What is the remainder when 2082285 is divided by 7708? 1125 Calculate the remainder when 5397932 is divided by 65. 7 What is the remainder when 357990 is divided by 8364? 6702 What ...
{ "pile_set_name": "DM Mathematics" }
*l**4 + 0*l**3. Differentiate a(z) wrt z. -4*z**3 Let y(h) be the first derivative of -h**8/336 + h**4/24 + h**2/2 - 1. Let g(w) be the second derivative of y(w). Find the second derivative of g(t) wrt t. -20*t**3 Let d(u) = u + 4. Let k be d(5). Let t(n) = -2*n - 3. Let c(o) = -o**2 + 9*o + 13. Let w(i) = k*t(i) + 2*c...
{ "pile_set_name": "DM Mathematics" }
4*o - 27 = 0, -h*o = b - 3*b - 16 for b. -5 Let v = 10 - 10. Suppose -i + 10 = -v*i. Solve -n + 5*c + 35 = 4*n, -i = 5*n + 4*c for n. 2 Let r be 6/(39/(-24) - -2). Suppose -2*q + 18 = 4*s, 2*q = -6 + r. Suppose s*u - 12 = 3*m, -2*m = -5*u - 0*m + 52. Solve 3*a - 27 = -4*g - u, 10 = 2*a for g. 0 Suppose 0 = r - j - 5 + ...
{ "pile_set_name": "DM Mathematics" }
t h be g(-3). Calculate the remainder when 12 is divided by (-14)/(-4) - h/(-2). 0 Let r = -24 + 37. Let a = -1 + r. Calculate the remainder when 69 is divided by a. 9 What is the remainder when (31/4)/(4/32) is divided by 5? 2 Let j = 146 - 132. Calculate the remainder when 698 is divided by j. 12 Suppose 0 = -g - 30*...
{ "pile_set_name": "DM Mathematics" }
)**2*(c + 1)*(5*c - 1) Factor 21*o**3 - 5403*o**2 - 9336*o + 3108. 3*(o - 259)*(o + 2)*(7*o - 2) Factor -3*y**5 - 54*y**4 - 288*y**3 - 384*y**2. -3*y**2*(y + 2)*(y + 8)**2 Solve q**4/5 - q**3/5 - 22*q**2/5 - 44*q/5 - 24/5 = 0 for q. -2, -1, 6 What is p in -3*p**2/2 - 87*p/2 + 45 = 0? -30, 1 Suppose -27*j**5 - 60*j**4 +...
{ "pile_set_name": "DM Mathematics" }
ose 0 = 4*n - 2*t + 8, 0 = -4*n - 0*t - 2*t. Which is the closest to n? (a) 2 (b) -5 (c) -2/9 c Let p = -115 + 111. Which is the nearest to 0.2? (a) 4/7 (b) p (c) -1.9 a Let z(u) = 2*u - 6. Let x be z(4). Let r(g) = g**3 + 5*g**2 + 4*g + 8. Let k be r(-5). Let p be 64/k*(-1)/12. What is the closest to x in 5, 0, ...
{ "pile_set_name": "DM Mathematics" }
*3 + 4 + 0*x**4 - 1/70*x**7 + 9/10*x**5. What is the third derivative of j(f) wrt f? -72*f - 84 Let z(f) be the first derivative of -92*f**5/5 + f**4 + 7*f**3 - 65*f - 48. What is the third derivative of z(b) wrt b? -2208*b + 24 Let d = 50 - 48. Let k(q) be the first derivative of -2*q - d*q + 5*q - 10 - 3*q**4 - 18*q....
{ "pile_set_name": "DM Mathematics" }
+ n. n + 25868 Collect the terms in 4*z**2 + 2*z**2 + 9*z**2 + 2*z**2 - 12*z**2 + 18523. 5*z**2 + 18523 Collect the terms in -99*z**3 + 470*z**3 - 1934*z**3 - 602*z**3. -2165*z**3 Collect the terms in 30 + 29 + 27 + 617*w - 605*w + 34 - 113. 12*w + 7 Collect the terms in 13288 + 13282 - 26570 + 6*z**3 - 2*z**3 - 602*z*...
{ "pile_set_name": "DM Mathematics" }
6 and 43. 43 What is the greatest common divisor of 396 and 13211? 11 Calculate the highest common factor of 67360 and 258915. 2105 Calculate the greatest common divisor of 161 and 20539. 23 Calculate the greatest common divisor of 155172 and 10452. 804 What is the greatest common divisor of 239 and 1897? 1 What is the...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {d: 5, a: 11}. 11/728 Calculate prob of sequence rkw when three letters picked without replacement from rphkvkkvvhwhhphpk. 1/1020 Four letters picked without replacement from {r: 3, i: 2, a: 7, m: 2, e: 1, c: 5}. What is prob of sequence mame? 7/58140 Two letters picked without replacement f...
{ "pile_set_name": "DM Mathematics" }
ob of picking 1 z and 1 n? 4/105 What is prob of picking 1 e and 1 a when two letters picked without replacement from apeappppppwepwwp? 1/30 Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {y: 1, b: 1, k: 2}. 1/6 Calculate prob of picking 3 x and 1 i when four letters picked witho...
{ "pile_set_name": "DM Mathematics" }
m when three letters picked without replacement from qqqmqqqqqmqqqqqmqqqq? 1/1140 Two letters picked without replacement from {p: 5, f: 14}. What is prob of picking 2 p? 10/171 Calculate prob of picking 2 o when two letters picked without replacement from eeeeolneoooeleeool. 5/51 Two letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
4 + sqrt(2)*2)**2 + 1). -25 - 6*sqrt(2) Simplify -1*(-4 + sqrt(14)/sqrt(2) + 1 + (sqrt(63)*-1)**2). -60 - sqrt(7) Simplify (sqrt(605)/(sqrt(1584)/sqrt(4)))/(2*(sqrt(1331) + 2*sqrt(1331) + sqrt(1331))). sqrt(5)/528 Simplify 0 + (-4*1*sqrt(95))/(sqrt(45)*2). -2*sqrt(19)/3 Simplify (-3*2*sqrt(192))/(sqrt(42)/(sqrt(14)/sqr...
{ "pile_set_name": "DM Mathematics" }
d) - 10*d - 4493 - 4481 + 8979)*(3*d**2 - 6*d**2 + d**2). 2*d**3 - 10*d**2 Expand (5*m + 0*m - 3*m + 17)*(-3*m - 6*m + 6*m)*(2*m + 3*m - 2*m)*(3 + m - 3). -18*m**4 - 153*m**3 Expand 2*m - 4*m + 0*m - 2 + 2*m + 2 + (3 - 2 + 3)*(3 + 2*m - 3) + (1 + 2 - 4)*(2*m - 4*m + 0*m) + m - 3*m + 4*m + 19*m + 14 - 14. 31*m Expand (-...
{ "pile_set_name": "DM Mathematics" }
1344683 a prime number? False Is 458281207 a composite number? False Is 40511989 a composite number? True Is 14182739 prime? True Is 8511578 a composite number? True Is 4240181 a prime number? False Is 4470307 a composite number? True Is 60248509 composite? False Is 13984111 prime? True Is 366913 a prime number? False ...
{ "pile_set_name": "DM Mathematics" }
ite? True Is 413333 prime? False Is 3163 composite? False Is 1397 a composite number? True Is 7963 prime? True Is 534965 composite? True Is 651821 composite? False Is 8521 a composite number? False Is 157 a prime number? True Is 881177 composite? True Is 1567 a prime number? True Is 570715 a prime number? False Is 1826...
{ "pile_set_name": "DM Mathematics" }
9 - -3519) -62 Evaluate (-27)/14*1*((-1)/6)/(36/144). 9/7 Evaluate (-158)/(-6)*(-1121 - -1118). -79 (-38)/(88 - 25511/291) -114 What is ((-4800)/(-128) - 30)*24/(-162)? -10/9 Calculate ((-492)/(-1312))/((-3)/(-34))*(9 - 13). -17 Calculate ((36/(-100))/(-9))/((847/55)/11). 1/35 What is ((-7)/((-1008)/(-8)))/((-12)/2808)...
{ "pile_set_name": "DM Mathematics" }
-5*l**3 - 6*l**2 + 8*l - 6. Suppose 24 = -0*j + 4*j. Let q be (-1)/(-3*(-2)/6). Let w(h) = -h**3 - h**2 + h - 1. Give j*w(x) + q*o(x). -x**3 - 2*x Let p(w) = w**2 - 5*w - 3. Let r(l) = -6*l**2 - 7*l - 11. Let m(f) = -2*f**2 + f - 1. Let u(n) = 4*m(n) - r(n). Let q = -44 + 41. Give q*u(k) - 7*p(k). -k**2 + 2*k Let q(v)...
{ "pile_set_name": "DM Mathematics" }
uppose -235 = -4*t + c*u + 81, -3*t + 2*u = -244. Does 12 divide t? True Let q be (-15)/(-1)*(-40)/24. Is ((-9)/1)/(5/q) a multiple of 15? True Let v be (-44)/(-66) + 8/6. Suppose 5*q - 184 = -3*h, -v*q + 3*h = -3*q + 44. Is q a multiple of 7? True Let r(g) = 79*g - 9. Let v(a) = -a. Let u(p) = r(p) + 5*v(p). Is u(4) a...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {t: 2, y: 2, k: 1, n: 1, a: 1, w: 1}. Give prob of picking 1 w, 1 t, and 1 y. 1/14 Two letters picked without replacement from jjjoooo. What is prob of picking 1 j and 1 o? 4/7 Calculate prob of picking 2 y when two letters picked without replacement from {o: 2, h: 2, y: 2}. 1/15...
{ "pile_set_name": "DM Mathematics" }
+ 6. Let q be u(-5). Find the second derivative of q*w**2 + 65*w - 74*w**2 - 123*w wrt w. 474 Differentiate -6077*a - 85 + 421 + 3352*a with respect to a. -2725 What is the second derivative of 210*z**2 + 21 - 2094*z**2 - 11 + 2599*z - 932*z**2 - 11 wrt z? -5632 Let g(a) be the third derivative of 63*a**5/4 + 24*a**4 -...
{ "pile_set_name": "DM Mathematics" }
-315783 - 11300813. -11616596 What is -12493115 - 2965189? -15458304 -903 + -959405.778 -960308.778 Work out -299839207 + -332. -299839539 What is 0.05 less than 71487.4622393? 71487.4122393 4638 + 0.316602597 4638.316602597 Add -0.28 and -4089196135187. -4089196135187.28 What is -7060857.78531 less than 0.02? 7060857...
{ "pile_set_name": "DM Mathematics" }
ube root of 5035983452 to the nearest integer? 1714 What is 316098180 to the power of 1/9, to the nearest integer? 9 What is the ninth root of 117963154 to the nearest integer? 8 What is 3383013263 to the power of 1/4, to the nearest integer? 241 What is 482358259 to the power of 1/3, to the nearest integer? 784 What i...
{ "pile_set_name": "DM Mathematics" }
77 composite? True Is 2558066761 a prime number? False Is 2169523511 composite? False Is 224880919 prime? False Is 1016954843 composite? False Is 1059464543 composite? True Is 7250082097 a prime number? False Is 53729371493 a composite number? True Is 99558867517 a prime number? True Is 85324829 composite? False Is 648...
{ "pile_set_name": "DM Mathematics" }
1 - 1 for i. 3 Let x(c) = -c**3 + c**2 + 1. Let f(b) = 5*b**3 - 2*b**2 - 10. Let o(a) = -f(a) - 6*x(a). Let r be o(4). Solve -k - g + 3 = 0, 3*k = -r*g + 5 + 9 for k. -2 Let q(f) = 20*f**2 + 2*f. Let u be q(-1). Suppose -4*l + 2*k + 3 = 25, u = -l - 2*k. Let j = l - -8. Solve -2 = y - 3*y + 4*n, y + 4*n - 1 = j for y....
{ "pile_set_name": "DM Mathematics" }
? -359528288 What is the derivative of -4577988*u**3 + 2*u**2 + 55620504? -13733964*u**2 + 4*u What is the second derivative of -333*c**3 - 2*c**2*u - 6207*c**2 - 14480*c*u - 2*c + 55 wrt c? -1998*c - 4*u - 12414 Find the third derivative of 940814*g**6 - 24*g**4 + 14037*g**2 - 4*g - 1 wrt g. 112897680*g**3 - 576*g Fin...
{ "pile_set_name": "DM Mathematics" }
6 What is 60571932 to the power of 1/2, to the nearest integer? 7783 What is 2462799099 to the power of 1/2, to the nearest integer? 49627 What is 259283173 to the power of 1/7, to the nearest integer? 16 What is 9619428 to the power of 1/3, to the nearest integer? 213 What is 37441581 to the power of 1/2, to the neare...
{ "pile_set_name": "DM Mathematics" }
g 1 g, 1 j, and 1 f. 3/143 Four letters picked without replacement from {z: 3, n: 1, l: 3, e: 2, s: 2, d: 1}. What is prob of picking 1 d and 3 l? 1/495 Two letters picked without replacement from gkrgcggppspgpck. What is prob of picking 1 k and 1 r? 2/105 Two letters picked without replacement from rdbxdnn. What is pr...
{ "pile_set_name": "DM Mathematics" }
at is the closest to -2/9 in -4, -2/247, -2/11? -2/11 Which is the closest to 0? (a) 1/4 (b) 149 (c) -5/3 a What is the closest to 1/2 in 0.5, 2/13, -4, 2/9? 0.5 What is the closest to -0.1 in 3, 2, 1.5, 0.2? 0.2 Which is the closest to -2? (a) -2/183 (b) 2 (c) -0.3 (d) 0.3 c Which is the nearest to 2/7? (a) 2 ...
{ "pile_set_name": "DM Mathematics" }
s the remainder when 10993 is divided by 500? 493 What is the remainder when 1438 is divided by 17? 10 What is the remainder when 18380 is divided by 175? 5 Calculate the remainder when 4817 is divided by 112. 1 What is the remainder when 9035 is divided by 151? 126 What is the remainder when 4236 is divided by 280? 36...
{ "pile_set_name": "DM Mathematics" }
nt from hnvbvhhnnbbnbvvbbbv. What is prob of sequence nn? 2/57 What is prob of sequence ft when two letters picked without replacement from ldlfsrrtdddlst? 1/91 What is prob of sequence eea when three letters picked without replacement from aee? 1/3 Calculate prob of sequence ccc when three letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
he nearest 100000. 0 Suppose 0 = 3*d + 4*l + 10549, -2*l + 13 = 3. Let n(o) = 416*o - 7. Let v be n(5). Let z = d + v. What is z rounded to the nearest 100? -1500 Let o = 5416 + -5421.646. Let b = -0.054 + o. What is b rounded to the nearest integer? -6 Let g = -542.55 - -893.9. Let h = -362 + g. Round h to zero dps. -...
{ "pile_set_name": "DM Mathematics" }
are the prime factors of -24*-2*(-25)/u? 2, 5 Let b(a) = -7 + 10*a + 21 + 3 - 13 - 11. Suppose 0 = 2*p - 5*p + 27. What are the prime factors of b(p)? 83 Let j(u) = -950*u + 3379. What are the prime factors of j(-4)? 3, 2393 Let f be (-1)/(-2) + 2/(-8)*2. Suppose f = 5*z - 4*h - 1590, -2*z + 89 + 547 = 5*h. Let i = z ...
{ "pile_set_name": "DM Mathematics" }
at is w(t)? 7 Let k(j) = j**2 + j. Let z = 5 - -1. Let a(l) = 4*l**2 + 7*l - 1. Let o(d) = z*k(d) - a(d). Suppose 0 = -g + x + 2, -g + 0*x + 5 = -4*x. What is o(g)? 2 Suppose -8*y - 439 = 633. Let o = -131 - y. Let t(s) = 3*s + 1. Let l(a) = 10*a + 2. Let v(r) = -2*l(r) + 7*t(r). Calculate v(o). 6 Let n(k) = -3*k - 17....
{ "pile_set_name": "DM Mathematics" }
7387.284 What is the product of 4 and -1213879? -4855516 -631.1824 * -0.1 63.11824 Calculate -0.1012*17.56. -1.777072 -1.062948 times -0.065 0.06909162 Product of -19280136 and -4. 77120544 -15.9182 times 5.723 -91.0998586 What is -0.5 times -118962872? 59481436 Calculate -676971*-0.08. 54157.68 What is -1025.45 times...
{ "pile_set_name": "DM Mathematics" }
ue in a, -4/3, 0.04? 0.04 Let y = -13900 + 13895. Which is the smallest value? (a) -1/5 (b) 3 (c) 472 (d) 0.1 (e) y e Let d = 0.3 + 0.7. Let j = -192 + 191. Let z = j - d. What is the smallest value in z, 1, 0.3? z Let t = -1698 - -2417. Let h = 676 - t. What is the biggest value in 5, 0, h? 5 Let u = -0.3652 + 0....
{ "pile_set_name": "DM Mathematics" }
40*j**2 Suppose 5*j + 0 = 10. Let z = j - -3. Find the second derivative of 4*o**2 - 3*o - 4*o**2 + 2*o**z wrt o. 40*o**3 Let l(r) be the third derivative of -r**10/151200 + r**6/240 + r**5/30 + 4*r**2. Let a(p) be the third derivative of l(p). Differentiate a(u) with respect to u. -4*u**3 Let o(q) be the second deriva...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 2/(-2) + g/(-3)? 6 What is the tens digit of ((-4878)/(-3) - -1)*68/34? 5 Suppose -12*h + 27 + 21 = 0. Suppose 2*w = 2*p - 0*p - 272, -725 = -5*p - h*w. What is the units digit of p? 1 Let r(o) = -o**2 + 5*o - 3. Let w be r(6). Suppose 5*v = -7*v. Let d = v - w. What is the units digit of d? 9...
{ "pile_set_name": "DM Mathematics" }
407748879818 and 10.6. 13407748879828.6 What is the distance between -2113.0236 and 41.94? 2154.9636 0.2+-0.004424748938 0.195575251062 What is the distance between -0.0506 and 0.978620106982? 1.029220106982 Work out -0.06 + 6220.5557691. 6220.4957691 What is the difference between 0.17 and 10493924967? 10493924966.83 ...
{ "pile_set_name": "DM Mathematics" }
t(-2). 7 Let n(r) be the first derivative of -3*r**4 + r**3/3 - r**2/2 - r - 52. Determine n(-1). 13 Let b(j) be the second derivative of j**3/6 + j**2/2 + 14*j. Determine b(7). 8 Let l(c) = -3*c - 3*c**3 + 5*c**3 + 2*c**2 - c**3 - 2. Calculate l(-3). -2 Let i(g) be the second derivative of 0 + 3*g - 1/2*g**2 + 2/3*g**...
{ "pile_set_name": "DM Mathematics" }