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+ w*y and give n. 5 Express -4079 + 14228*h + 4079 - 51681*h in the form o*h + u and give o. -37453 Express 0*l + 2*l - l + (173 - 1975 + 462 + 10)*(-3*l + 4*l - 2*l) as z + x*l and give x. 1331 Rearrange 75 + 69 - 4209*g - 1051*g + 69 - 211 to the form o*g + w and give w. 2 Rearrange (5*a + 5*a + 6*a)*(12*a - 1791*a +...
{ "pile_set_name": "DM Mathematics" }
e letters picked without replacement from nso. 1/6 Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaa. 1 What is prob of sequence xpx when three letters picked without replacement from {j: 4, p: 2, x: 2, w: 4, d: 6, n: 1}? 2/2907 Calculate prob of sequence ld when two letters pick...
{ "pile_set_name": "DM Mathematics" }
decreasing order. 0.3, 1/4, 0.1, -2 Sort 0.1, -0.4, 3, -83/5 in descending order. 3, 0.1, -0.4, -83/5 Sort -2/17, -5/9, 7 in decreasing order. 7, -2/17, -5/9 Put -5, -0.5, 2/17, -916, 0 in decreasing order. 2/17, 0, -0.5, -5, -916 Put 15/28, -1/65, 1/4 in descending order. 15/28, 1/4, -1/65 Put 0.17, 5, -9, 2/9 in desc...
{ "pile_set_name": "DM Mathematics" }
53 minutes after 2:59 PM? 5:32 PM How many minutes are there between 5:21 AM and 11:52 AM? 391 How many minutes are there between 1:09 PM and 12:10 AM? 661 How many minutes are there between 11:02 AM and 3:54 PM? 292 How many minutes are there between 6:33 PM and 4:14 AM? 581 What is 692 minutes before 9:18 AM? 9:46 PM...
{ "pile_set_name": "DM Mathematics" }
l**2 - 3160*l + 136842 What is the f'th term of -905889, -905868, -905847, -905826, -905805? 21*f - 905910 What is the y'th term of 2418534, 4837085, 7255636, 9674187, 12092738, 14511289? 2418551*y - 17 What is the c'th term of 32938, 66074, 99304, 132676, 166238, 200038, 234124? 8*c**3 - c**2 + 33083*c - 152 What is ...
{ "pile_set_name": "DM Mathematics" }
4 - -420. What is the second smallest value in 0.4, 35/13, f? 0.4 Let k = -7 - -51/7. Let s = 15 - 0. Let v(g) = -g**3 + 16*g**2 - 15*g. Let f be v(s). What is the third smallest value in k, f, -0.4? k Let w = 0.147 + -0.447. Which is the second biggest value? (a) -8/5 (b) 1 (c) w (d) -0.2 d Let n = 186 + -181. Wha...
{ "pile_set_name": "DM Mathematics" }
replacement from {f: 6, c: 2, u: 1, i: 3, o: 5, n: 2}. Give prob of sequence co. 5/171 What is prob of sequence px when two letters picked without replacement from wrxpwwrwwr? 1/90 Two letters picked without replacement from {y: 2, q: 7, i: 2}. Give prob of sequence iy. 2/55 Two letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
3 Find the first derivative of 631 - 3077 + 57*j - 6*j**2 + 18*j**2 - 87*j + 33*j wrt j. 24*j + 3 Let i = 505 - 472. What is the derivative of -i*w + 30*w - 84*w + 270 wrt w? -87 Find the first derivative of -843 + 315 - 1654 - 12*n + 0*n - 18*n wrt n. -30 Let z(b) be the second derivative of -167/56*b**8 + 4 + 0*b**5 ...
{ "pile_set_name": "DM Mathematics" }
6750 to the nearest integer? 6 What is the eighth root of 4318 to the nearest integer? 3 What is 1012 to the power of 1/3, to the nearest integer? 10 What is 2876 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 6269 to the nearest integer? 9 What is 11528 to the power of 1/5, to the nearest i...
{ "pile_set_name": "DM Mathematics" }
1 j, 1 p, and 1 g when three letters picked without replacement from jfuffjjpughhpfh? 6/455 Two letters picked without replacement from wssuuh. Give prob of picking 1 h and 1 w. 1/15 Three letters picked without replacement from lhhhhhhhhl. What is prob of picking 1 l and 2 h? 7/15 Four letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
- 24) + 122 + -102 + -4 + -21? -35 What is the value of (-7 - -14) + (-4 - -8 - (-18 - 29)) + -4? 54 (-29 - -1) + (24 - (-17 - (-23 + -4))) -14 (-4415 - -4463) + -1 + (2 - 2) + 1 + 4 52 Evaluate 7 + (0 - -7 - 5 - -3) + -11 + 12. 13 What is the value of (91 - (190 + -111)) + (12 - (3 + -2)) + 10? 33 What is (-16 - -7 -...
{ "pile_set_name": "DM Mathematics" }
46 to the nearest integer? 42 What is 16643 to the power of 1/2, to the nearest integer? 129 What is the square root of 9077 to the nearest integer? 95 What is the third root of 33692 to the nearest integer? 32 What is 1576 to the power of 1/6, to the nearest integer? 3 What is 8620 to the power of 1/8, to the nearest ...
{ "pile_set_name": "DM Mathematics" }
6 for u. -4 Solve 0 = -40*r - 6*r - 322 for r. -7 Solve -36 = 38*q - 50*q for q. 3 Solve -10*n - 37 - 33 = 0 for n. -7 Solve 36 - 24 = -6*q for q. -2 Solve -13*v - 1 = -79 for v. 6 Solve -29*y = -42*y + 39 for y. 3 Solve 8*j - 6 + 38 = 0 for j. -4 Solve 44 = -14*s + 2 for s. -3 Solve 34*l - 76*l = -210 for l. 5 Solve -...
{ "pile_set_name": "DM Mathematics" }
from {t: 2, w: 1, j: 1, d: 2, r: 1, o: 1}. 1/168 Four letters picked without replacement from yyyyggsyyfyfsbsbs. Give prob of sequence gbff. 1/7140 Three letters picked without replacement from gczfgwl. What is prob of sequence zcw? 1/210 Three letters picked without replacement from {p: 2, z: 3, j: 3, i: 2, d: 9, e: ...
{ "pile_set_name": "DM Mathematics" }
*w(p) - 5*b(p). p + 3 Let x(z) = z - 1. Let i(n) = 324*n + 609. Let d(j) = 27*j + 48. Let y(f) = -25*d(f) + 2*i(f). Give -18*x(b) - y(b). 9*b Let c(m) = -24*m**3 - m**2. Let u(k) = 17*k**3 + 7*k**2 - 3*k + 20. Let v(n) = -5*n**3 - 2*n**2 + n - 6. Let t(y) = 3*u(y) + 10*v(y). What is 2*c(o) + 2*t(o)? -46*o**3 + 2*o Let ...
{ "pile_set_name": "DM Mathematics" }
4 - 7*k**3/3 + 3*k**2. Let s be i(17). Solve -2 - 4 = s*u for u. -2 Let u(m) be the third derivative of -m**4/24 - 4*m**2. Let o be u(-1). Let p = 2 - o. Solve 5*j + 4 + p = 0 for j. -1 Suppose 3*a + 42 = 3*s, 3*s + 2*a - 16 = 1. Solve 4*j + s + 11 = 0 for j. -5 Let v be (-10)/50 + (22/5)/2. Solve s + v*s - 15 = 0 for ...
{ "pile_set_name": "DM Mathematics" }
ing order. 2, h, -22 Let w be 0 + 20/(-11) + 2. Let m = -499 - -2497/5. Put w, m, 5 in increasing order. w, m, 5 Let v(d) = -3*d**3 + d**2 - 1. Let c be v(1). Let w = 43 - 39. Sort 2, w, c in descending order. w, 2, c Let g = -78 + 73. Sort -3/4, g, 5 in decreasing order. 5, -3/4, g Let m be (4/2)/(2/(-4)). Let n be m/...
{ "pile_set_name": "DM Mathematics" }
*w - 462680*w**4 + 462980*w**4 in the form g*w**4 + u*w + j + z*w**3 + k*w**2 and give j. 2 Express (7*u - 8*u - 1 - 15*u)*(21 + 2 + 20) in the form r*u + y and give y. -43 Express (4 + 3 - 1)*(-1483*f - 1121 + 1121)*(-3*f**3 + 6*f**3 - 2*f**3) in the form z + d*f + m*f**2 + q*f**4 + i*f**3 and give q. -8898 Rearrange ...
{ "pile_set_name": "DM Mathematics" }
e the remainder when 71718 is divided by 23904. 6 Calculate the remainder when 7211 is divided by 7174. 37 What is the remainder when 12969 is divided by 23? 20 Calculate the remainder when 1662 is divided by 171. 123 What is the remainder when 8467 is divided by 151? 11 What is the remainder when 21254 is divided by 2...
{ "pile_set_name": "DM Mathematics" }
ative of 156*n**2 - 2*n - 11*n**4 + 73*n**5 - n**3 + 14*n - 10*n + n**3 wrt n. 4380*n**2 - 264*n What is the derivative of 7 - 42 + 12 - 260*w**2 - 30 - 12 wrt w? -520*w Find the third derivative of -27 - 17 - 356*l**2 - 107*l**5 + 71 + l**3 - 26 - 592*l**2 wrt l. -6420*l**2 + 6 Let c(r) be the first derivative of -226...
{ "pile_set_name": "DM Mathematics" }
from {c: 5, z: 4, o: 1}. 1/18 Two letters picked without replacement from {v: 1, t: 1, y: 1, q: 2, b: 1, c: 8}. What is prob of sequence vb? 1/182 Two letters picked without replacement from tlttitblltlttttltlt. What is prob of sequence bl? 1/57 Two letters picked without replacement from ohjmlmh. Give prob of sequence...
{ "pile_set_name": "DM Mathematics" }
+ 55*r**3 - r - 70. Find the second derivative of s(v) wrt v. -716 Let n = -9 - -7. Let x be ((-8)/(-10))/(n/(-25)). Find the third derivative of -67*o**4 + x*o**6 + 67*o**4 + 8*o**2 wrt o. 1200*o**3 Let l(m) be the second derivative of 7/2*m**3 + 0 + 25*m + 0*m**2 + 2*m**4. What is the second derivative of l(y) wrt y?...
{ "pile_set_name": "DM Mathematics" }
r = -3 + 2. Which is the biggest value? (a) r (b) i (c) 5 c Let s = 4 - 3.9. Let n be 1*(8/(-42) - (-3)/9). What is the biggest value in -0.5, n, s? n Let t = -5.829 + -0.071. Let j = 6 + t. Let m = 4 - 3.5. What is the third smallest value in m, 0.3, j? m Let d = -0.066 - -2.066. Let g = -0.4 - -0.3. Let z = -0.4 ...
{ "pile_set_name": "DM Mathematics" }
by -5. -4/5 Calculate 4 divided by -184. -1/46 Calculate 25 divided by -539. -25/539 9 divided by -157 -9/157 1 divided by -1053 -1/1053 What is -21042 divided by -2? 10521 Divide -210 by 17. -210/17 What is -104 divided by 13? -8 Calculate -2 divided by 120. -1/60 What is -159 divided by 53? -3 Calculate -1485 divide...
{ "pile_set_name": "DM Mathematics" }
undred thousands digit of 1349673? 3 What is the units digit of 5925673? 3 What is the thousands digit of 3169611? 9 What is the units digit of 9926692? 2 What is the ten thousands digit of 82616? 8 What is the units digit of 1460664? 4 What is the units digit of 6197988? 8 What is the units digit of 182989? 9 What is ...
{ "pile_set_name": "DM Mathematics" }
v. 1/22 Two letters picked without replacement from {n: 2, o: 1, l: 1, f: 2, g: 2, q: 1}. What is prob of picking 1 f and 1 q? 1/18 What is prob of picking 2 y when two letters picked without replacement from yaayyyvv? 3/14 Two letters picked without replacement from {q: 5, y: 3, a: 5}. What is prob of picking 1 q and...
{ "pile_set_name": "DM Mathematics" }
nder when r is divided by (8/(-10))/(2/(-50)). 18 What is the remainder when (-1744)/(-109)*30/4 is divided by 25? 20 Suppose -46821 = -52*k + 249839. What is the remainder when k is divided by 197? 189 Let b = 19 - -3. Suppose w = 2*n + 36, 2*n + w + 60 = -2*n. Calculate the remainder when 520/n*(-7 + 5) is divided by...
{ "pile_set_name": "DM Mathematics" }
/9 (b) 5396 (c) -0.04 c Which is the nearest to -1/4? (a) -1/4 (b) -1.6 (c) -2/13 (d) -0.2 (e) 13638 (f) 2 a Which is the nearest to 4/7? (a) 207 (b) -7/102 (c) 0.3 (d) 2 c Which is the nearest to -0.0821? (a) 3/5 (b) -0.007 (c) 61 (d) 2/3 (e) -1/4 b What is the nearest to -1 in -5826, -4, 1/2? 1/2 Whi...
{ "pile_set_name": "DM Mathematics" }
99 hours? 934307640 How many kilograms are there in 7.717736mg? 0.000007717736 What is 21.019344 microseconds in minutes? 0.0000003503224 What is 90.16025 hours in milliseconds? 324576900 What is one fifth of a millennium in years? 200 What is 28315.94 weeks in microseconds? 17125480512000000 Convert 1039.244 kilograms...
{ "pile_set_name": "DM Mathematics" }
w(q) be the first derivative of -6997*q**2/2 - 5924*q + 1746. Find the first derivative of w(m) wrt m. -6997 Let t(w) be the third derivative of -33*w**7/7 + 5*w**5/12 - 83*w**3/6 + 2*w**2 + 1291. What is the third derivative of t(o) wrt o? -23760*o Let l(c) be the third derivative of 295*c**8/112 + 109*c**5/6 - 1185*...
{ "pile_set_name": "DM Mathematics" }
of 200 and 103660. 1036600 What is the lowest common multiple of 20174 and 57771? 1270962 Calculate the lowest common multiple of 4407 and 63. 92547 What is the lowest common multiple of 33 and 7866? 86526 Calculate the common denominator of -3/145 and 60/8789. 1274405 Find the common denominator of 5/109894 and 55/16...
{ "pile_set_name": "DM Mathematics" }
)/9000). What is s rounded to the nearest 100000? 400000 Let f = -77.7 - -13.7. Let q = f - -63.31. What is q rounded to 1 decimal place? -0.7 Suppose -f - 450005 = 5*h, -f + 449990 = -5*h + f. What is h rounded to the nearest one hundred thousand? -100000 Let f = 63.7489 - 1.8809. Let x = f - 62. Round x to 2 dps. -0....
{ "pile_set_name": "DM Mathematics" }
1. -30, -2, -0.1, 0.02, 1, 3 Put 0.2, 11, 5/83 in descending order. 11, 0.2, 5/83 Put -2, 20, 0.2, -2/15, 3/8 in decreasing order. 20, 3/8, 0.2, -2/15, -2 Put -23629, 1, 3 in increasing order. -23629, 1, 3 Put -2, -7, -1962 in descending order. -2, -7, -1962 Sort -5, 52933, 0 in ascending order. -5, 0, 52933 Put -23, -...
{ "pile_set_name": "DM Mathematics" }
11 - (16 - 55) - 3. 25 Evaluate 1 - 0 - (-233 + 249) - -13. -2 What is the value of (-4 + 0 - (-2 + 2)) + (-5289 - -5281)? -12 What is the value of 2 - (2 + (-20 - -13) + 4)? 3 -7 - (4 + -2 + (-8 - -20) + -18) -3 What is -5 + (-1 - 6) + 13 - (-3 + 3)? 1 Evaluate (27 - -5) + -34 - 24. -26 What is the value of -1 + -1 + ...
{ "pile_set_name": "DM Mathematics" }
? 2 What is the square root of 25417 to the nearest integer? 159 What is the square root of 10276 to the nearest integer? 101 What is the cube root of 3040 to the nearest integer? 14 What is 8819 to the power of 1/5, to the nearest integer? 6 What is 31672 to the power of 1/3, to the nearest integer? 32 What is 132744 ...
{ "pile_set_name": "DM Mathematics" }
e the remainder when 5095 is divided by 392. 391 Calculate the remainder when 1991260 is divided by 294. 292 Calculate the remainder when 4979 is divided by 22. 7 Calculate the remainder when 36439 is divided by 18185. 69 What is the remainder when 3974 is divided by 584? 470 Calculate the remainder when 80284 is divid...
{ "pile_set_name": "DM Mathematics" }
234412112 by 10655096. 22 What is 9 divided by 142447? 9/142447 What is 100 divided by -252859? -100/252859 81190205 divided by -1 -81190205 Calculate 305439412 divided by -6. -152719706/3 Divide -2 by 17743825. -2/17743825 Divide -11898540 by -10. 1189854 Calculate 2949920 divided by -2. -1474960 -217476 divided by 2...
{ "pile_set_name": "DM Mathematics" }
lify (sqrt(684) + -1)**2 + -1. -12*sqrt(19) + 684 Simplify (sqrt(1872)*2 + sqrt(1872))**2 - (sqrt(65)*-2)/sqrt(5). 2*sqrt(13) + 16848 Simplify 0 + sqrt(2299) - (sqrt(19) - (-1*sqrt(1216) - sqrt(1216))**2). 10*sqrt(19) + 4864 Simplify sqrt(475) + 2 + (sqrt(190)/(sqrt(60)/sqrt(6)))**2. 21 + 5*sqrt(19) Simplify (sqrt(56)*...
{ "pile_set_name": "DM Mathematics" }
249473 is divided by 8541. 1784 Calculate the remainder when 17528673 is divided by 33. 30 What is the remainder when 48171 is divided by 2399? 191 Calculate the remainder when 91038 is divided by 8052. 2466 Calculate the remainder when 8661539 is divided by 15. 14 Calculate the remainder when 329910 is divided by 99. ...
{ "pile_set_name": "DM Mathematics" }
336 to seven decimal places. 0.0000097 What is 1368.27 rounded to the nearest 100? 1400 What is -0.0000006746949 rounded to seven dps? -0.0000007 What is -0.2034419 rounded to 3 dps? -0.203 Round 9064.863 to the nearest ten. 9060 What is 1454060 rounded to the nearest one hundred thousand? 1500000 Round 0.001026925 to ...
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 60783405? 3, 5, 31, 67, 1951 List the prime factors of 59199708. 2, 3, 31, 233, 683 What are the prime factors of 731902720? 2, 5, 571799 List the prime factors of 47961519. 3, 15987173 List the prime factors of 1192135639. 19, 41, 269, 5689 What are the prime factors of 103123808? 2, 71, 45389 ...
{ "pile_set_name": "DM Mathematics" }
g 2 d and 1 v when three letters picked without replacement from vtkjkkdjtdnd? 3/220 Three letters picked without replacement from {k: 2, o: 2, c: 1, x: 1, g: 7, v: 2}. What is prob of picking 1 v, 1 x, and 1 g? 2/65 Four letters picked without replacement from gjjsqujjuj. What is prob of picking 1 u, 1 g, and 2 j? 2/2...
{ "pile_set_name": "DM Mathematics" }
- 0. Let d = v + 61/84. What is the common denominator of d and -97/24? 72 Let i = -210041/462308 - 15/3476. Calculate the common denominator of i and 21/152. 1064 What is the lowest common multiple of 90 and 30/(4 + (-148)/40)? 900 Let k(p) = -13*p - 6. Let c be k(1). Calculate the common denominator of (c/15)/((-60)/...
{ "pile_set_name": "DM Mathematics" }
*2. Let n be s(5). Does 6 divide 1316/32 + n/8? False Let h = 74 + -73. Suppose 12 = -3*c - 5*r, -c - r - 3 + h = 0. Is 11 a factor of -11 + 199 - ((0 - 0) + c)? True Let l(t) be the second derivative of -t**4/12 - 11*t**3 - 79*t**2/2 + 22*t - 8. Is 22 a factor of l(-47)? True Let d(a) be the third derivative of -8*a**...
{ "pile_set_name": "DM Mathematics" }
t c? -3480*c**2 + 984*c What is the third derivative of -4 + 12*g - 167*g**2 + 1 - 173*g**2 + 528*g**2 - 169*g**2 + 4592*g**6 wrt g? 551040*g**3 Suppose 6*h + 13 + 29 = 0. Let s(a) = -163*a - 4. Let v(k) = 109*k + 3. Let w(r) = h*v(r) - 5*s(r). What is the first derivative of w(p) wrt p? 52 Let v = -18 + 33. Let t be 1...
{ "pile_set_name": "DM Mathematics" }
- 17*p**3 + 7*p - 16*p**2. Let t be i(9). Solve -t*h + 12 = -h for h. 3 Let g = 194 + -191. Suppose o - 56 = -5*f + 20, 0 = -3*f - g*o + 48. Solve 0 = 3*z - f for z. 5 Suppose -104 - 13 = 3*h + 3*l, 4*l = 4*h + 156. Let x = 77 - 110. Let n = x - h. Solve y = n*y for y. 0 Let g(b) = 6*b**2 - 126*b - 507. Let k be g(-4)...
{ "pile_set_name": "DM Mathematics" }
he nearest 1000000. 227000000 Round -208360 to the nearest one thousand. -208000 Round -0.000003819 to six dps. -0.000004 Round -405700 to the nearest ten thousand. -410000 What is -2243.6 rounded to the nearest 10? -2240 What is -0.28313 rounded to three decimal places? -0.283 Round 0.00023272 to 5 dps. 0.00023 What i...
{ "pile_set_name": "DM Mathematics" }
r when j is divided by u? 19 Suppose 5*g - 65 - 15 = -5*j, 0 = -5*j - 3*g + 80. Let x be 3*(j/(-6))/(-4). Let n = x - -1. What is the remainder when 7 is divided by n? 1 Suppose 2*m = 4*y + 16, 4*m = -3*y + 10 - 0. Let h = y + 15. Suppose -h + 3 = -a. Calculate the remainder when 19 is divided by a. 9 Suppose 2*b + 48 ...
{ "pile_set_name": "DM Mathematics" }
in ascending order. -3, 11, 20 Sort 3, 4, 6, 2 in decreasing order. 6, 4, 3, 2 Sort 0, 5, -847 in decreasing order. 5, 0, -847 Sort -2, 2713, 0.1 in ascending order. -2, 0.1, 2713 Sort -1, -73, 1 in increasing order. -73, -1, 1 Sort -0.5, 1/3, 0.4, 17/2, -5 in ascending order. -5, -0.5, 1/3, 0.4, 17/2 Sort -5, 5, -15/1...
{ "pile_set_name": "DM Mathematics" }
12*b*d**2 + 58*d**3 + 26 Find the third derivative of 2*d**6 - 58*d**4*r**3 + 9*d**3 + 3*d**2*r**3 + 2*d**2 - 4*r**2 + 10*r wrt d. 240*d**3 - 1392*d*r**3 + 54 What is the third derivative of 4274*l*p**5 - 2*l*p + 172*p**2 - 6 wrt p? 256440*l*p**2 What is the first derivative of 33*n**3*s**3 + 3*n**3*s + 190*n**3*y + 2...
{ "pile_set_name": "DM Mathematics" }
(c) -5 (d) -3 d Let p = 21.95 - 18.95. What is the closest to 3 in -0.72, p, -3? p Let q be 10/45 - (74624/(-828))/4. Let l = q - 68/3. What is the closest to 1 in l, -1/5, 3/4? 3/4 Let k = -0.2 + 0.34. Let i = 0 - k. Let q = i - 0.26. Which is the closest to 1/4? (a) -1/5 (b) q (c) -7 a Let s = 3428.1 + -3428. Wh...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from gggbgbgggbgggggbbggg. Give prob of sequence gb. 15/76 Calculate prob of sequence wd when two letters picked without replacement from dwwwdwwwwwdwwdwwwwwd. 15/76 Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm? 1 Three letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
-2 + sqrt(1053))) + 4 + -1)**2. -18*sqrt(13) + 1054 Simplify -5 + 3 + 3*sqrt(33)/sqrt(3)*-4 + (-1 + sqrt(1584) + 2)**2. 12*sqrt(11) + 1583 Simplify 1*(-1 + sqrt(5) + (sqrt(45)*-3 - sqrt(5)) + 4). -9*sqrt(5) + 3 Simplify 4 + 2 + (-2*(-2 + sqrt(325)) - (sqrt(325)*-3 + sqrt(325) + 0)). 10 Simplify (-3*sqrt(66)*1 - (6*(sq...
{ "pile_set_name": "DM Mathematics" }
, 4, 13, -10, -9, -4/7, -0.1? -0.1 What is the fifth smallest value in 20, 111522, -0.4, -3, 0.5, 2? 20 What is the fifth smallest value in -1/2, 4, 1/8, 5, -5761907? 5 What is the third smallest value in -22, -1/8, 1.64, -3/7, -3/2, 8? -3/7 Which is the third biggest value? (a) 3 (b) -230/807 (c) -24/5 c What is th...
{ "pile_set_name": "DM Mathematics" }
k be 1/(-3) - (-416)/24. Suppose -2*x + 4*r = -72, 8*r - 3*r - 63 = -2*x. What is the greatest common divisor of k and x? 17 Suppose -l - d = -11, 5*l - 2*d = -0*l + 27. Suppose 4*f = l*f - 45. Let b = 78 - 3. What is the greatest common factor of f and b? 15 Suppose -2*k + 4 = -8. Let i be (15/3)/(-10)*(-10 + -8). Cal...
{ "pile_set_name": "DM Mathematics" }
)*(-1 - 4 + 6 - 2 + 2 + 2 + (-3 + 4 + 0)*(-1 + 4 - 5)). 6*j**3 Expand 11*k**5 - 6*k**5 - 2*k**5 - 2*k**5 - 3*k + 3*k + (-3*k**3 + 2*k**5 + 3*k**3)*(1 + 2 - 4) + 0*k**5 + k**5 - 2*k**5. -2*k**5 Expand (-4 - 1 + 4)*(-s**2 - 2 + 2 + (2*s - s + 0*s)*(0*s - 3*s + s)) + 2511*s - 29*s**2 - 2511*s. -26*s**2 Expand -z**5 + z**5...
{ "pile_set_name": "DM Mathematics" }
y in 38*y**2 - 8 - 3*y**2 + 3 + 25*y - 5 = 0? -1, 2/7 Suppose -5 = -2*t + 3. Factor -2*b**5 + 3*b**3 - 7*b**3 - 4*b**2 - 2 + 6*b**t + 6*b + 0*b**5. -2*(b - 1)**4*(b + 1) Let u(r) be the first derivative of -r**4/32 - r**3/6 - 3*r**2/16 + 7. Factor u(d). -d*(d + 1)*(d + 3)/8 Let c(a) be the first derivative of -a**6/27...
{ "pile_set_name": "DM Mathematics" }
hat is the sixth root of 491640 to the nearest integer? 9 What is the ninth root of 10574896 to the nearest integer? 6 What is 30643916 to the power of 1/2, to the nearest integer? 5536 What is the tenth root of 668816 to the nearest integer? 4 What is 3901149 to the power of 1/9, to the nearest integer? 5 What is the ...
{ "pile_set_name": "DM Mathematics" }
. What is the nearest to m in 3, a, 0.4? 0.4 Suppose 2*k - 2 = -q + 6, -q + k = 4. Which is the nearest to 1? (a) 0.6 (b) q (c) -4/9 a Let j = -2 + 2. Let n = -0.02 - 2.98. Which is the closest to j? (a) -2/5 (b) n (c) 2 a Let h(u) = -u**2 - 15*u - 32. Let p be h(-12). Let s = 43 - 213/5. Which is the nearest to ...
{ "pile_set_name": "DM Mathematics" }
/(-126))/(429/(-135135)). 30 (((-48)/663)/4)/(1280/8320) -2/17 ((-5)/((-20)/(-6)))/((-4)/14*203/(-812)) -21 Evaluate 4/72*1*(-1794)/46. -13/6 (((-1)/(-246))/((-16)/24))/((-115)/920) 2/41 What is the value of 6720/560*(-1)/(-6)*(-7)/(56/36)? -9 Evaluate 984/3*317/2536. 41 What is 2/(-8)*10*36504/(-10530)? 26/3 ((-1)/(-4...
{ "pile_set_name": "DM Mathematics" }
ob of sequence kj? 2/7 Calculate prob of sequence dx when two letters picked without replacement from {d: 2, s: 1, x: 1, y: 4}. 1/28 What is prob of sequence aa when two letters picked without replacement from {u: 2, d: 2, a: 1}? 0 Two letters picked without replacement from {z: 1, c: 1, b: 1, v: 1, o: 1}. What is prob...
{ "pile_set_name": "DM Mathematics" }
Calculate 13178067 divided by 24. 4392689/8 Calculate -351 divided by -8088. 117/2696 Divide -8876637 by -806967. 11 -1178 divided by 18997 -1178/18997 -39254950 divided by -14 2803925 Divide 36048798 by -1303. -27666 What is -253162690 divided by -22? 11507395 32487044 divided by 5183 6268 11423929 divided by -105 -11...
{ "pile_set_name": "DM Mathematics" }
*o + 4, -3*n + z*o + 4*o = 4 for n. 4 Let t = 37 - 32. Solve v + 7 = 2*f - t*f, -4*f - 3 = -5*v for f. -2 Let o(y) = y + 6. Let s be o(-4). Let p be -3*15/(-18)*s. Solve -20 = -5*k, -m - k - 16 = -p*m for m. 5 Let x(m) = -4*m + 1 + 3 + 5*m. Let p be 0 + (-2 - (-10)/5). Let k be x(p). Solve 5*t = 2*h - 15, -7 = -k*t + 4...
{ "pile_set_name": "DM Mathematics" }
of x. 3, 5 Let p(t) be the second derivative of -t**5/20 + 7*t**4/12 + 3*t**3/2 - 3*t**2 - 12*t. Let q be p(8). What are the prime factors of (-294)/(-12) - 1/q? 2, 3 Suppose -2*i = -p + 19, 0 = 3*i - 0*i + 4*p + 34. What are the prime factors of 115 - 4*i/(-8)? 2, 5, 11 Let y be 6*(33/(-6) - -5). List the prime facto...
{ "pile_set_name": "DM Mathematics" }
m of -94, -420, -1200, -2662, -5034, -8544, -13420, -19890? -38*i**3 + i**2 - 63*i + 6 What is the a'th term of -608453, -608471, -608497, -608531, -608573? -4*a**2 - 6*a - 608443 What is the d'th term of 27269, 27326, 27455, 27692, 28073? 6*d**3 + 15*d + 27248 What is the m'th term of 2684393, 5368789, 8053185? 268439...
{ "pile_set_name": "DM Mathematics" }
icked without replacement from acpcppcpca. What is prob of picking 1 p and 1 c? 16/45 Three letters picked without replacement from {r: 2, p: 5, a: 8}. What is prob of picking 3 p? 2/91 Three letters picked without replacement from mnonooonmnnononqonn. Give prob of picking 3 o. 35/969 Four letters picked without replac...
{ "pile_set_name": "DM Mathematics" }
6 What is 143933 to the power of 1/2, to the nearest integer? 379 What is the ninth root of 934165 to the nearest integer? 5 What is the eighth root of 647178 to the nearest integer? 5 What is the cube root of 90398 to the nearest integer? 45 What is the square root of 2464907 to the nearest integer? 1570 What is the s...
{ "pile_set_name": "DM Mathematics" }
8 Solve -132 + 924 = 66*k for k. 12 Solve -889063*l + 889556*l + 60639 = 0 for l. -123 Solve -1870 = -37*o + 189*o + 1778 for o. -24 Solve 3117 = 1391*o - 16357 for o. 14 Solve -36702 = 304*h - 22414 for h. -47 Solve -375 = -604*u + 3231 + 804 - 786 for u. 6 Solve 756*y - 238 = 1556*y - 766*y for y. -7 Solve -255*v + 8...
{ "pile_set_name": "DM Mathematics" }
(b) -0.1 (c) -0.3 (d) 8 (e) -2 b Which is the nearest to -2? (a) 0.1 (b) 8 (c) -80 (d) -0.028 (e) -3 e What is the nearest to -0.1 in -6/91, 149, -12, 73/2? -6/91 What is the nearest to -4/91 in -16, 0.5, -6/49? -6/49 Which is the closest to -2/3? (a) -0.2 (b) -7.8 (c) 447/2 a What is the closest to 24663 in...
{ "pile_set_name": "DM Mathematics" }
f - 6, -3*f = 4*j - 21. Let b(g) = -j*g + 2*g + 3*g + 0*g. Let m(p) = 2*p - 2*p + p. Give m(b(v)). 2*v Let s(g) = 2*g. Let p(t) = -93*t. Calculate s(p(x)). -186*x Suppose n - 4*s + 4 = -2*s, 0 = n - 3*s + 7. Let b(g) = g - 2. Let d be b(4). Let l(x) = -5*x**d + 2*x**2 + x**n. Let p(r) = -2*r. Calculate p(l(m)). 4*m**2...
{ "pile_set_name": "DM Mathematics" }
0 = 2*m - 0*m. Let j = -13 - m. Calculate the remainder when 53 is divided by j. 26 Let t(l) = -l - 8. Suppose -2*a + 5 = 27. Let p be t(a). Suppose 4 = p*s + 4*d - 2, 3*s - 15 = -d. What is the remainder when s is divided by 2? 0 Let o = 8 - -1. Let w be (-12)/o*(-1 - 23). Suppose -5*n = -102 + w. What is the remainde...
{ "pile_set_name": "DM Mathematics" }
6 a factor of 390? True Is 366 a multiple of 3? True Does 124 divide 27107? False Is 13 a factor of 1501? False Is 13 a multiple of 13? True Is 1938 a multiple of 114? True Is 59 a factor of 2124? True Does 2 divide 264? True Is 85320 a multiple of 360? True Is 13 a factor of 76076? True Does 16 divide 12144? True Is 8...
{ "pile_set_name": "DM Mathematics" }
and give v. 6 Express 1 - 197*v + 37*v - 71*v - 23*v as m*v + p and give m. -254 Express -554*s + 227*s - 705*s - 382*s - 163*s as b*s + y and give b. -1577 Express -u**3 + 10*u**2 + 109*u**4 + 50*u**4 + 5*u**3 - 5*u**3 - 9*u**2 as j + p*u**4 + g*u**3 + q*u**2 + n*u and give q. 1 Rearrange -1 + 7*t**2 - 28*t**2 - t**4...
{ "pile_set_name": "DM Mathematics" }
alue? (a) g (b) p (c) j b Let o be 27/(-99)*(-2)/(-3). Let f be (-3)/35 - 10/(-35). What is the biggest value in o, f, 0.4? 0.4 Let w = -0.077 + -102.423. Let s = w - -102. What is the biggest value in -2, s, 0.4? 0.4 Let r be ((-9)/(-12))/((-36)/(-16)). What is the second biggest value in 5/11, 2, -1/5, r? 5/11 Let...
{ "pile_set_name": "DM Mathematics" }
placement from mugugggmugumugmgg. What is prob of sequence gu? 5/34 Calculate prob of sequence bb when two letters picked without replacement from {n: 9, b: 4, r: 1}. 6/91 Three letters picked without replacement from {i: 1, d: 5, j: 3, r: 3}. What is prob of sequence rjd? 3/88 What is prob of sequence hob when three l...
{ "pile_set_name": "DM Mathematics" }
9703. Let w = y + -8.6. Round w to five decimal places. -0.00003 Suppose -4810 = 2*a + 2*n, -3*a + 3*n - 7180 = -n. Let z = -169 + a. Let v = z - -1449. Round v to the nearest 100. -1100 Suppose 46 = k + 40. Let n be ((-208)/k)/(16/12000). What is n rounded to the nearest 10000? -30000 Suppose q = 5*g - 76610, -g = 7*q...
{ "pile_set_name": "DM Mathematics" }
c*p**2 - 6/5*p**5 + 2/5*p**3 = 0. -1/3, 0, 1 Let b(s) = 2*s**3 + 8*s**2 - 108*s - 242. Let k(y) = 16*y**3 + 62*y**2 - 866*y - 1937. Let v(g) = -17*b(g) + 2*k(g). Suppose v(q) = 0. Calculate q. -10, -2, 6 Factor -2/21*o**3 - 62*o - 38/7*o**2 + 9610/21. -2*(o - 5)*(o + 31)**2/21 Suppose 397*o - 372 = 1613. Let i(h) be th...
{ "pile_set_name": "DM Mathematics" }
q**3 + 7 - q**4. Factor l(z). -4*(z - 2)**2*(z + 1) Let p(x) = -4*x**2 + 14*x + 8. Let o(b) = b**2 - b. Let r = 168 + -162. Let c(q) = r*o(q) + p(q). Factor c(u). 2*(u + 2)**2 Let w(k) be the second derivative of -2*k**6/5 + 16*k**5/5 + 35*k**4/9 + 4*k**3/3 + 110*k. Suppose w(h) = 0. Calculate h. -1/3, 0, 6 Factor -84...
{ "pile_set_name": "DM Mathematics" }
)**46 assuming z is positive. z**46 Simplify ((a/(a/(a/(a*a/(a/(a/(a**(1/3)/a)))))))**28)**(-40) assuming a is positive. a**(5600/3) Simplify n**(2/25)*n/(n*n**(-7))*n*n**4*n*n*n**(4/5) assuming n is positive. n**(372/25) Simplify (v**(-1/2))**(6/7) assuming v is positive. v**(-3/7) Simplify (g**3/(g**(-2/15)/g))/((g*g...
{ "pile_set_name": "DM Mathematics" }
t f(i) = -19*i + 6. Let w(p) = 38*p - 11. What is 7*f(s) + 4*w(s)? 19*s - 2 Suppose a - b + 2 = -0*b, 5*b + 20 = 0. Let w be ((-1)/(-3))/(1/3). Let i(r) = r - 3*r + w + r. Let n(f) = -5*f + 6. Calculate a*i(g) + n(g). g Let h(j) = -5*j**3 + 28*j + 5*j**2 + 2 - 12*j - 12*j. Let p(r) = 4*r**3 - 4*r**2 - 3*r - 1. Give 3*h...
{ "pile_set_name": "DM Mathematics" }
7 from -11.75026. 128085.24974 Total of 1844 and 1963223282. 1963225126 What is the difference between 16991945126.51 and 194? 16991944932.51 What is 60 take away -14170414626? 14170414686 Calculate 13381517626.21 + -0.1154. 13381517626.0946 What is -104409081988378 - -2? -104409081988376 Subtract -110 from -5754859309...
{ "pile_set_name": "DM Mathematics" }
term of 39, 82, 125, 168, 211, 254? 43*z - 4 What is the g'th term of 92, 90, 88, 86? -2*g + 94 What is the q'th term of -172, -347, -532, -733, -956? -q**3 + q**2 - 171*q - 1 What is the f'th term of -234, -468, -702, -936, -1170? -234*f What is the p'th term of 88, 94, 110, 142, 196, 278? p**3 - p**2 + 2*p + 86 What...
{ "pile_set_name": "DM Mathematics" }
4*r**3 - 95140. 2*r**3 + 56 Collect the terms in -17977*r**3 + 53962*r**3 - 17987*r**3 - 17993*r**3. 5*r**3 Collect the terms in -44*f + 21 - 75*f**2 + 25 + 73*f**2 - 46. -2*f**2 - 44*f Collect the terms in 41*b**2 + 28*b**2 - 63*b**2. 6*b**2 Collect the terms in 655*f + 658*f - 520*f. 793*f Collect the terms in 3*r**2...
{ "pile_set_name": "DM Mathematics" }
divided by 22. 21 Suppose 0 = -4*c + 2*m + 138, -2*c - m + 72 = -3*m. Calculate the remainder when 65 is divided by c. 32 Let r(c) be the first derivative of 2 + 0*c - 3/2*c**2 - c**4 - 4/3*c**3. What is the remainder when r(-2) is divided by 8? 6 Let c be 0 - ((-2)/2 + 3). Let z(r) = -14*r - 2. Let u(w) = -3*w - 3. Ca...
{ "pile_set_name": "DM Mathematics" }
n multiple of f and 14. 28 What is the lowest common multiple of (0 + -2)/(2/(-27)) and 24? 216 Let s(a) = -a**3 - 6*a**2 + 4. Let b be s(-6). Suppose -2*q + 14 = b*p, -q = -0*q - 5*p + 7. Calculate the lowest common multiple of q and 68/18 + (-6)/(-27). 12 Let t(g) = -g**3 + 5*g**2 + 5*g - 1. Let n be t(5). Suppose n ...
{ "pile_set_name": "DM Mathematics" }
5*o + m - 5*m + 16 for o. -4 Solve 24 = 3*f - 5*h, 34*f + 27 = 39*f - 4*h for f. 3 Solve 3*q - 10 = -4*r, -9 + 1 = -5*q + 2*r for q. 2 Solve 8 = 4*b, 22*b - 23*b = -4*w + 2 for w. 1 Solve 7 = o + 2*j, -745*o - 3*j = -747*o - 14 for o. -1 Solve -2*a + 4*f - 14 = 0, -f - 1 = 3*a - 15 for a. 3 Solve 0 = -5*o + 3*l - 22, ...
{ "pile_set_name": "DM Mathematics" }
t is the value of (((-288)/(-105))/8)/(3/5)? 4/7 Calculate (-7231)/(-1033)*(-38)/(-14). 19 What is the value of ((12600/3822)/50)/((12/(-21))/(-4))? 6/13 What is (4/(-10))/((1/1)/(15/21))? -2/7 84/24*(-9)/6615*-14 1/15 (7/(-5))/(((-168)/120)/(-7)) -7 105/(-72)*3*(-10)/35 5/4 What is 675/3000*1/(-6)*(-10)/1? 3/8 Calcula...
{ "pile_set_name": "DM Mathematics" }
? (a) -0.07 (b) m (c) o a Let h = -108106/3 - -36036. Let m = -73.5 - -2.5. What is the fourth smallest value in -2, m, h, 1? 1 Let r = 0.16 - 3.16. Let c = -317 - -381.1. Let h = c - 64. What is the second biggest value in -2, r, h? -2 Let t = -226 + -142. Let l = t - -469. What is the second biggest value in 0.5, ...
{ "pile_set_name": "DM Mathematics" }
rd biggest value in -2/7, s, -3? s Let w = -0.76 - -0.13. Let a = w + 15.13. Let c = 15 - a. What is the third smallest value in 1/7, c, 2? 2 Let b = -845 + 848. What is the fourth smallest value in -3, b, 2, 4/9? b Let i = 1.69 + 0.31. Let p = 7.2 + -7.14. Which is the second biggest value? (a) i (b) p (c) 3 a Let ...
{ "pile_set_name": "DM Mathematics" }
the terms in 4 + 166188*d - 166153*d - 5 + 1 + 0. 35*d Collect the terms in 232*g + 186*g - 578*g + 156*g. -4*g Collect the terms in 1 + 5*i**2 + 1014926*i - 4*i**2 - 1030153*i. i**2 - 15227*i + 1 Collect the terms in -166*m**2 - 250*m**2 - 627 - 50 - 139*m**2. -555*m**2 - 677 Collect the terms in 3*q**2 + 172 - 3*q**...
{ "pile_set_name": "DM Mathematics" }
of 240933 and 98637? 1617 What is the highest common factor of 123359 and 562? 281 Calculate the highest common divisor of 1931988 and 1229. 1229 Calculate the highest common factor of 48 and 15452. 4 What is the highest common factor of 25965 and 13848? 1731 What is the greatest common divisor of 919 and 1181834? 919 ...
{ "pile_set_name": "DM Mathematics" }
0 What is (2 - (-5 + 6)) + -4? -3 Evaluate 2 - (-3 + (1 - -4)). 0 What is (4 + -4 + -1 - 0) + 4? 3 Calculate 4 + (0 + 0 + 2 - 4). 2 5 - (7 - ((7 - 10) + 12)) 7 (5 + -19 - -7) + 3 -4 4 - 4 - (-2 + -3) 5 -14 + 11 + (-1 - 2) -6 Calculate (-20 - -22) + -2 + (-1 - 1). -2 What is the value of -5 + 2 - (-6 + 1 - 1)? 3 What i...
{ "pile_set_name": "DM Mathematics" }
t common factor of c and p? 15 Let d(v) = 29*v + 2. Let c be d(-3). Let q = 43 - c. Calculate the highest common factor of q and 16. 16 Let p(w) = -2*w**3 - 2*w**2 + 2. Let b be p(-2). Suppose b = o + 1. Calculate the highest common divisor of 9 and o. 9 Let t be (-2 - -6)*(0 - -1). Calculate the greatest common factor...
{ "pile_set_name": "DM Mathematics" }
Let j(v) = 2*v**3 + 19*v**2 - 92*v - 522. Determine j(-11). 127 Let q(j) = -1373*j**2 + 2665*j + 156. Give q(2). -6 Let i(l) = 4*l**3 + 168*l**2 + 257*l + 3818. What is i(-41)? 5 Let j(w) = 4*w**2 + 522*w - 2058. Calculate j(-132). -1266 Let h(i) = -i**3 + 215*i**2 - 411*i - 3317. Calculate h(213). -122 Let z(f) = 3*f*...
{ "pile_set_name": "DM Mathematics" }
s(x) = 381*x - 593. Let k(p) = -153*p**2 + 2*p. Calculate s(k(q)). -58293*q**2 + 762*q - 593 Let s(l) = -l**2 - 6*l - 62. Let f(m) = m - 211. What is f(s(p))? -p**2 - 6*p - 273 Let d be 2/(-6)*-1 - (-10)/6. Let h(v) = -106*v**2 + 52*v**2 + 55*v**d. Let p(i) = i - 66. Determine h(p(w)). w**2 - 132*w + 4356 Suppose 5*v ...
{ "pile_set_name": "DM Mathematics" }
m - 3*u**2 + 2*u**3 - 4*u**3 wrt u. -18 Suppose 0 = 3*l - l - 2. Let k be 0 + 2/(0 + l). What is the first derivative of k - i**3 + 0 - 3 wrt i? -3*i**2 Let m be ((-32)/56)/(4/(-14)). Find the second derivative of 3*s**2 + 2*s**2 - 3*s**m - 2*s wrt s. 4 Differentiate 7*x - x + 0*x + 11*x + 2 - 2*x**3 wrt x. -6*x**2 + 1...
{ "pile_set_name": "DM Mathematics" }
t common factor of 796 and 13894578. 398 Calculate the highest common divisor of 1076349 and 13. 1 Calculate the highest common factor of 2696 and 105320. 8 What is the greatest common factor of 23683615 and 35? 5 Calculate the greatest common factor of 8542950 and 2425. 25 Calculate the highest common divisor of 71851...
{ "pile_set_name": "DM Mathematics" }
r? -85, -33/4, -2, -1 Factor h**2/2 + 77382021*h/2. h*(h + 77382021)/2 Suppose l**3/9 + 9212842*l**2/9 = 0. What is l? -9212842, 0 Solve -32*b**5 + 675156*b**4 - 9194300*b**3 + 26146152*b**2 - 15855440*b - 10120800 = 0 for b. -3/8, 2, 10, 21085 Let -383828125*w**4/3 - 90591565625*w**3/3 - 639431625*w**2 - 4513545*w - ...
{ "pile_set_name": "DM Mathematics" }
t c be k(i). Suppose 2*r = -3*r + 10. Sort r, 0, c in decreasing order. c, r, 0 Let a = -3 - -7. Let t(v) = 2*v - 7. Let l be t(a). Let i be (-3 + l)*(-2)/(-6). Put -1, -0.1, i in decreasing order. -0.1, i, -1 Suppose -5*v - 6*f + f = 15, 1 = v + 3*f. Suppose 5*i - 4*z - 10 = z, 5*i + 35 = -4*z. Sort v, i, 2 in ascendi...
{ "pile_set_name": "DM Mathematics" }
tors of 738757? 738757 List the prime factors of 3041710. 2, 5, 7, 19, 2287 What are the prime factors of 1862251? 1862251 List the prime factors of 478912. 2, 7, 1069 List the prime factors of 1514425. 5, 11, 5507 What are the prime factors of 18066217? 13, 29, 173, 277 What are the prime factors of 485457? 3, 7, 2311...
{ "pile_set_name": "DM Mathematics" }