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Suppose 3*q = -g - 6, -q - 31*g - o = -36*g. Sort q, -6, 6. -6, q, 6 Let o(s) = -2*s**3 - 4*s**2 - 107*s - 355. Let t be o(-4). Put t, 5, 2 in decreasing order. t, 5, 2 Suppose 10217*t - 10205*t = -120. Put 97, t, -2 in descending order. 97, -2, t Let z = -335 + 1482. Let g = 1116.94 - z. Let c = -30 - g. Sort -4, -2,...
{ "pile_set_name": "DM Mathematics" }
= -4*m + 11 for m. -1 Solve -3*u - 54 = 2*v - 28, 0 = 4*v - 3*u + 16 for v. -7 Solve 0 = -2*b - 3*y + 5, 5 = b - 768*y + 772*y for b. 1 Solve 3*w - 15 = 0, -2*u - 2*u + 5*u - 5*w + 3 = 0 for u. 22 Solve -11*v = -8*v + q - 23 + 12, -5*v + 28 = -8*q for v. 4 Solve 13*t + 55 = -3*o, t - 66 = -5*o - 75 for t. -4 Solve -59*...
{ "pile_set_name": "DM Mathematics" }
ainder when 1320 is divided by 39. 33 Calculate the remainder when 412 is divided by 210. 202 Calculate the remainder when 432 is divided by 129. 45 Calculate the remainder when 183 is divided by 22. 7 Calculate the remainder when 426 is divided by 246. 180 What is the remainder when 108 is divided by 49? 10 What is th...
{ "pile_set_name": "DM Mathematics" }
? True Is 920467 prime? True Is 1520249 prime? False Is 3248507 a prime number? False Is 870079 a composite number? True Is 1009197373 a composite number? False Is 27823739 a composite number? False Is 15481981 a prime number? True Is 6965213 a prime number? False Is 5611037 composite? True Is 237261 a prime number? Fa...
{ "pile_set_name": "DM Mathematics" }
picking 1 h, 2 y, and 1 v? 1/70 Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {w: 1, s: 1, q: 8, r: 2, k: 5}. 1/68 Two letters picked without replacement from iiiiibibbbaiipiliibs. What is prob of picking 1 i and 1 p? 11/190 Two letters picked without replacement from {z: 3, ...
{ "pile_set_name": "DM Mathematics" }
3680 What is the common denominator of 87/112 and 113/3710? 29680 What is the smallest common multiple of 1242558 and 12? 2485116 Calculate the least common multiple of 37100 and 1749. 1224300 Calculate the common denominator of 113/132528 and -109/6. 132528 What is the smallest common multiple of 23188 and 22? 23188 W...
{ "pile_set_name": "DM Mathematics" }
66 Calculate the least common multiple of 63588 and 27252. 190764 Find the common denominator of -13/16488 and -31/40. 82440 Find the common denominator of 11/3760 and 93/160. 7520 What is the least common multiple of 25896 and 936? 77688 What is the lowest common multiple of 83196 and 166392? 166392 What is the lowest...
{ "pile_set_name": "DM Mathematics" }
2)/k)/(3/(-6)) a prime number? True Suppose 0*c = -4*r + c - 21, -2*r - 3 = c. Let z be 6/4 - 1950/r. Let p = z - -464. Is p a composite number? False Let g(w) = 677*w + 7. Let f be 2/12 + (-7)/84*-70. Suppose 0 = 3*n + 4*b + 14, 0 = -n + 2*b + f + 6. Is g(n) a composite number? False Suppose 6*n = 4*n + 10. Suppose -n...
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when q is divided by 12? 10 Suppose -226 = -3*w + 3*r + 314, 3 = 3*r. Let k = -127 + w. Let c(d) = -4*d - 6. What is the remainder when k is divided by c(-5)? 12 Let d = 71 - 10. What is the remainder when d is divided by 9? 7 Suppose -5*j = -3*p - 272, p = -0*j + 3*j - 164. Suppose -6*z = -11*z + ...
{ "pile_set_name": "DM Mathematics" }
luate 4 - (2 - -1) - 6 - -3. -2 Calculate 0 + -1 + 3 + 1. 3 -2 + (19 - 8) - 3 6 What is -123 + 115 + (1 - -11)? 4 Evaluate 1 - 2 - (-2 - 2). 3 What is -2 - ((-52 - -42) + 0 + 0)? 8 Evaluate 1 + -2 + -5 + 5. -1 What is the value of 4 + -4 - -4 - 4? 0 Evaluate 9 - (0 - -5 - -1). 3 Evaluate 11 + 8 + (10 - 20). 9 Evaluate ...
{ "pile_set_name": "DM Mathematics" }
1, 8? 0.1 What is the closest to 1/4 in -2/19, -5, 2/11? 2/11 What is the closest to 1 in 6, -1/2, -9? -1/2 Which is the closest to 2/3? (a) -0.2 (b) -0.3 (c) 0.4 (d) -71 c What is the nearest to 1.5 in -1, 2/7, -0.5? 2/7 Which is the nearest to -2/9? (a) -3/2 (b) -14 (c) -2 a What is the closest to -2 in -5, 0....
{ "pile_set_name": "DM Mathematics" }
the units digit of 1304? 4 What is the units digit of 19067? 7 What is the units digit of 130? 0 What is the tens digit of 2782? 8 What is the units digit of 94174? 4 What is the units digit of 23329? 9 What is the thousands digit of 73544? 3 What is the units digit of 1439? 9 What is the units digit of 61351? 1 What ...
{ "pile_set_name": "DM Mathematics" }
(d) -2 c What is the nearest to 1 in 396, -2/11, -3/10, 3/5? 3/5 What is the nearest to 2 in 4, -5, -1, -114? 4 Which is the nearest to -0.2? (a) -2/3 (b) 0 (c) -2/13 c What is the nearest to 0.15 in 0.5, 0, -0.03? 0 Which is the closest to -23/6? (a) -4/5 (b) -4 (c) -0.4 b What is the closest to -0.1 in 2/3, 4, ...
{ "pile_set_name": "DM Mathematics" }
at is the tens digit of j? 3 Let g = -14 + 29. Suppose -r + 5*r - 2*x = -38, 4*r + x + 35 = 0. Let p = g + r. What is the units digit of p? 6 Suppose -3*v = 3*r + r - 125, 3*r = 3*v + 78. What is the tens digit of r? 2 Suppose -2*g + 0 - 10 = 0. Let w(s) = s**2 + 3*s - 7. Let d be w(g). Suppose -8 - 4 = -d*p. What is t...
{ "pile_set_name": "DM Mathematics" }
without replacement from jjxdjddoxjdxdmd. 1/91 Two letters picked without replacement from {m: 6, v: 1, y: 2, b: 2, x: 3, g: 5}. Give prob of sequence mv. 1/57 Calculate prob of sequence ddi when three letters picked without replacement from ypyjdidpipgijy. 1/364 Calculate prob of sequence hh when two letters picked w...
{ "pile_set_name": "DM Mathematics" }
0000005 Let s = -169 - -140.6. Let i = -38 - s. Round i to the nearest integer. -10 Let t = 533.844 - 534. What is t rounded to 1 dp? -0.2 Let c = 34.26 + -34.2597481. Round c to 5 decimal places. 0.00025 Let u = 502.778 + -499. Let m = -31.222 - -31.3. Let d = u - m. What is d rounded to the nearest integer? 4 Let n =...
{ "pile_set_name": "DM Mathematics" }
(-10))*-2? -1 Evaluate (12/(-9))/(4/9). -3 What is 1*2/(-3)*21/(-14)? 1 Evaluate (-4)/110*1*30/(-6). 2/11 Calculate (1206/2211)/((-30)/(-44)). 4/5 What is the value of (42/(-168))/(3/((-9)/(-2)))? -3/8 (12/9)/(2/(-6)) -4 What is 9/((-243)/18)*60/5? -8 What is the value of 21/(-3)*12/120*10? -7 Calculate (21/(-7))/((-3)...
{ "pile_set_name": "DM Mathematics" }
*x - 9, a + 4 = 0 for x. 5 Suppose 2*v = 2*d + 2*d + 22, 27 = v + 2*d. Suppose 0 = -3*t - b - 1, -v*b = -t - 17*b + 2. Solve t*m + m = -2*l + 7, 5*m = -5*l + 20 for m. 1 Suppose 0 = -2*v + 6, -3*f - 4*v + 71 = 17. Let w be (-256)/(-14) + f/(-49). Let p be 0/3 + 17 + -17. Solve p = o + 5*j + w, -2*o = -2*j + 4*j + 12 fo...
{ "pile_set_name": "DM Mathematics" }
n = -0*n - 16. Calculate the lowest common multiple of s and 16. 16 What is the least common multiple of 8 and (5*-1)/(17/(-68))? 40 Find the common denominator of 550/(-63) + (-2)/(-7) and 40/11. 99 Suppose -4*s = -8*s + 12. Let m = s + -1. What is the smallest common multiple of 3 and m? 6 What is the common denomina...
{ "pile_set_name": "DM Mathematics" }
power of 1/2, to the nearest integer? 324 What is the cube root of 449856 to the nearest integer? 77 What is the square root of 190770 to the nearest integer? 437 What is the square root of 2553444 to the nearest integer? 1598 What is 13446 to the power of 1/2, to the nearest integer? 116 What is the eighth root of 66...
{ "pile_set_name": "DM Mathematics" }
s 4076 a factor of 368176928? True Does 2120 divide 59766950? False Is 1285 a factor of 24882740? True Is 29897596 a multiple of 5? False Is 348 a factor of 170415600? True Does 830 divide 197945724? False Does 10 divide 203569267? False Is 248846775 a multiple of 69? True Is 51 a factor of 120532635? True Is 17 a fact...
{ "pile_set_name": "DM Mathematics" }
remainder when 255 is divided by 78? 21 Calculate the remainder when 511 is divided by 130. 121 What is the remainder when 4853 is divided by 135? 128 Calculate the remainder when 523 is divided by 126. 19 What is the remainder when 161 is divided by 56? 49 Calculate the remainder when 1150 is divided by 64. 62 Calcul...
{ "pile_set_name": "DM Mathematics" }
-t*c = -l*c for c. 0 Let b be (-3)/(9/(-3)) + 17. Suppose -5*r - b = -2*w - 3, r - 9 = -2*w. Solve 0 = -h - 1 + w for h. 4 Suppose 44 - 14 = 3*o. Solve o = -f + 6*f for f. 2 Let h(j) = 2*j**2 - 24*j - 16. Let q be h(13). Solve 4*p + p - q = 0 for p. 2 Let l(a) = -5 - 11*a - 5*a**2 + 21 + 6 + 6*a**2. Let j be l(9). Solv...
{ "pile_set_name": "DM Mathematics" }
848551 a composite number? False Is 4549757 a composite number? False Is 82698277 a prime number? True Is 2544379 prime? False Is 244956515 a prime number? False Is 111553102 prime? False Is 1478413 a composite number? False Is 56642039 composite? True Is 2983639 prime? True Is 11943557 composite? False Is 500527 a pri...
{ "pile_set_name": "DM Mathematics" }
t replacement from {b: 1, k: 1, h: 2, f: 2, x: 7, m: 1}. Give prob of picking 1 x, 1 f, and 2 b. 0 What is prob of picking 1 w and 1 f when two letters picked without replacement from wwwfwwjwwwiwii? 9/91 What is prob of picking 2 g and 1 u when three letters picked without replacement from {u: 4, g: 3, d: 1}? 3/14 Wha...
{ "pile_set_name": "DM Mathematics" }
factors of j. 7, 71 Suppose 0*g = -4*m - 2*g + 3888, 972 = m + 3*g. List the prime factors of (m/(-27))/(-1 - 10/(-14)). 2, 3, 7 Let l(a) = a**3 - 7*a**2 + 3. Let z be l(7). Suppose 20 = -4*o, 3*x = -o - z*o + 211. What are the prime factors of x? 7, 11 Suppose 0 = -2*l - 90 - 114. Let u = l + 159. What are the prime f...
{ "pile_set_name": "DM Mathematics" }
54 a factor of 120618036? True Does 46 divide 590423432? True Is 49748027 even? False Is 104933220 a multiple of 60? True Does 12 divide 813882933? False Is 639492208 a multiple of 328? False Is 3 a factor of 13048156? False Is 7014306 a multiple of 193? False Does 19 divide 16091404? True Is 15627904 a multiple of 66?...
{ "pile_set_name": "DM Mathematics" }
the second derivative of 32*l*u*v**2 + l*u*y**2 - l*u*y - 156*l*u - 3*l*v**2*y**2 + 2*l*v*y**2 - u*v**2*y - 2*u*v wrt v? 64*l*u - 6*l*y**2 - 2*u*y Differentiate 6608*r + 7701 with respect to r. 6608 What is the first derivative of -54*u**4 + 29*u - 5451? -216*u**3 + 29 Differentiate -28*a*o**3 + 588*o**3 wrt a. -28*o**...
{ "pile_set_name": "DM Mathematics" }
4729/6. Let a be 2/(-6) + (-4)/6. Is a less than x? False Let c = -37436/9 - -4172. Suppose -49*f + 18*f = -7*f - 312. Is f at least c? True Let c = 1.1 - -9.7. Let r = 9.8 - c. Let y be 63/(-165) + 2/10. Which is bigger: r or y? y Let y = 1 + -0.7. Let k = -58.3 - -59. Let g = y + k. Are g and 11 equal? False Let n =...
{ "pile_set_name": "DM Mathematics" }
? 4:05 PM How many minutes are there between 5:38 PM and 3:37 AM? 599 How many minutes are there between 8:55 PM and 7:15 AM? 620 What is 387 minutes after 2:20 PM? 8:47 PM How many minutes are there between 7:11 AM and 1:45 PM? 394 What is 624 minutes after 4:02 AM? 2:26 PM How many minutes are there between 3:10 PM a...
{ "pile_set_name": "DM Mathematics" }
comes next: -251625, -504283, -756941, -1009599, -1262257, -1514915? -1767573 What is the next term in 2849, 7183, 11517, 15851, 20185, 24519? 28853 What comes next: 58868319, 117736630, 176604941, 235473252, 294341563, 353209874? 412078185 What comes next: 108276, 108127, 107978, 107829, 107680, 107531? 107382 What is...
{ "pile_set_name": "DM Mathematics" }
- 11. What is -2*f(u) + 5*g(u)? u**2 - 8*u - 3 Let a(i) = 36*i**3 + 309*i**2 - 17*i - 27. Let o(y) = -9*y**3 - 77*y**2 + 4*y + 6. Give -2*a(m) - 9*o(m). 9*m**3 + 75*m**2 - 2*m Let l(f) = 5764*f + 14. Let t(n) = -2882*n - 6. Give 3*l(k) + 7*t(k). -2882*k Let i(z) = 16*z - 44. Let t(u) = u - 3. Let y = -1753 + 1665. Dete...
{ "pile_set_name": "DM Mathematics" }
. -2 Let k(f) = -3*f. Let v be k(-3). Suppose 4*r - 16 = 2*b, -2*r + 3*b + v = 1. Suppose -4 = 2*m + 6, m + 13 = 4*h. Solve 12 - r = -h*a for a. -4 Suppose 4*v = 3*v - 5*b - 4, 4 = -2*b. Suppose -3*a + 5*p - 47 = 0, -5*p - v = 4*a + 45. Let i be 62/22 - a/77. Solve i = -5*h + 8 for h. 1 Let m(u) = 10*u - 52. Let o be m...
{ "pile_set_name": "DM Mathematics" }
2*l - 4 + 2)*((l - l - 2*l)*(0 + 1 + 1) + 3*l - 4*l - l + 6 - 6 - 4*l) as n + k*l + r*l**2 and give r. 7 Rearrange -2 - 1 - 11*z**2 + 5 to a + b*z + p*z**2 and give a. 2 Express 9 - 47 - 2*c**2 + 21 + 0*c**2 in the form j + z*c**2 + a*c and give j. -17 Rearrange (-1 + 1 - 4*p**3)*(-6 + 1 + 4) + (-p**2 - 3*p**2 + 2*p**2...
{ "pile_set_name": "DM Mathematics" }
g, -15*h = -20*h + 4*g for h. 4 Solve -5*y + 15 = 5*u, -2*y + 12 = 2*u + 3*y for u. 1 Solve 5*z = 5*c + z + 4, 2*c - 4*z = -4 for c. 0 Solve -3*y = -4*c - 4, -4 = 4*y - 5*y for c. 2 Solve 50 = -5*l + 5*x, -3*l + 2*x - 7*x = -10 for l. -5 Solve -2*k + 1 = 3*i + 9, -5*k + 3*i = -22 for k. 2 Solve 0 = -z - 3*p - 4, -777*z...
{ "pile_set_name": "DM Mathematics" }
hich is the smallest value? (a) -1/7 (b) 0.5 (c) 4 (d) r a Let k(o) = o**2 - 14*o - 12. Let a be k(15). Suppose 106 - 112 = a*d. Let y = -8 + 7.78. What is the biggest value in d, 0, 2/15, y? 2/15 Let j(d) = -d**2 + 12*d + 29. Let h be j(14). Let k be (50/(-75))/(1*(1 + h)). What is the third biggest value in k, -3...
{ "pile_set_name": "DM Mathematics" }
5/3? (a) 1.1 (b) -3 (c) -0.4 (d) -1/2 a What is the closest to -191 in -0.22, 1, 3, -2? -2 Which is the closest to 205/6? (a) -0.1 (b) -6/469 (c) -4 (d) 1 d What is the closest to 1 in -4, 0.075, -1.9, 0.1? 0.1 What is the nearest to -1 in 58, 3, -1/2, -1975/4? -1/2 Which is the nearest to -2/7? (a) 2 (b) -78...
{ "pile_set_name": "DM Mathematics" }
rt z. 340*z**3 Let g(p) be the first derivative of 0*p**2 + 73/5*p**5 + 0*p - 41/3*p**3 + 19 - 1/2*p**4. What is the third derivative of g(v) wrt v? 1752*v - 12 Let p(i) be the first derivative of -1/2*i**4 + i**3 - 4 + 67/2*i**2 - 2*i. What is the second derivative of p(s) wrt s? -12*s + 6 Suppose 24*f = 10*f + 280. W...
{ "pile_set_name": "DM Mathematics" }
What is the highest common factor of r and c? 6 Let w(c) = 2*c**3 + 14*c**2 - 3*c - 42. Let v be w(-6). What is the highest common factor of 8912 and v? 16 Suppose 5*m = 3*x - 46224, -61609 = 190*x - 194*x - m. Calculate the greatest common factor of 211 and x. 211 Suppose -93 = -2*f + 15. Let o = f - 51. Suppose 0 = -...
{ "pile_set_name": "DM Mathematics" }
d by 87025. -11/17405 -10668 divided by -1169 1524/167 Divide -3 by -2030723. 3/2030723 Calculate 1864 divided by -6733. -1864/6733 Divide -28867150 by 444110. -65 Calculate 44709284 divided by 11177321. 4 What is 314220888 divided by 636? 494058 Divide 120 by 3719749. 120/3719749 -3 divided by -13906028 3/13906028 857...
{ "pile_set_name": "DM Mathematics" }
y**2 - y - 8. Let x(r) = 9*t(r) - 4*v(r). What is the units digit of x(-6)? 8 Suppose -5*f = -v - 478, 3*v = -5*f + 2*f + 294. Suppose 3*r - 51 = -4*m, -4*m = -0*r - 4*r + f. What is the units digit of r? 1 Let a(r) = 6*r**2 - 15*r - 3. Let n(h) = -5*h**2 + 14*h + 3. Suppose -3*d - 1 - 17 = 0. Let g(j) = d*a(j) - 7*n(j...
{ "pile_set_name": "DM Mathematics" }
. Let y = k + -153/2. Find z, given that 1/2 + 9/4*z - 21/4*z**3 - y*z**4 + z**2 = 0. -1, -1/2, -1/3, 2/3 Let -2*k + 80/3 - 2/3*k**2 = 0. What is k? -8, 5 Let w(b) be the third derivative of 0 + 0*b + 1/10*b**3 + 1/100*b**5 + 1/20*b**4 - 10*b**2. Factor w(h). 3*(h + 1)**2/5 Let u be (6 - 7)*1*-3. Suppose 0 = u*s - 5*s ...
{ "pile_set_name": "DM Mathematics" }
common factor of 140 and 112? 28 What is the highest common divisor of 29 and 29? 29 What is the highest common factor of 196 and 70? 14 What is the greatest common factor of 368 and 230? 46 What is the greatest common divisor of 56 and 144? 8 What is the greatest common divisor of 45375 and 33? 33 Calculate the greate...
{ "pile_set_name": "DM Mathematics" }
(-3)/(-210))? -63 What is (2*(-4)/12)/(5/((-45)/(-14)))? -3/7 ((-26932)/(-1407197))/((-12)/(-99)) 3/19 Calculate -2*(-5)/160*12*8/(-64). -3/32 What is the value of 160/(-60)*117/(-188760)*-10? -2/121 What is 40/15*44/((-1144)/(-1053))? 108 What is the value of (-4)/72*(-460)/(-161)*(-56)/8? 10/9 What is (((-12031)/(-31...
{ "pile_set_name": "DM Mathematics" }
). 4*(o - 3)*(o + 2) Let s(q) be the second derivative of -q**7/273 - 4*q**6/195 - q**5/130 + 5*q**4/39 + 4*q**3/39 - 8*q**2/13 - 3*q - 3. Determine o so that s(o) = 0. -2, 1 Suppose -6*l = -4*l - 6. Factor -3 + 56*a**l - 57*a**3 + 3*a**2 + a + 0*a. -(a - 3)*(a - 1)*(a + 1) Let c = -76 + 94. Let b be (-12)/(-28)*12/c. ...
{ "pile_set_name": "DM Mathematics" }
(b) u (c) 2 a Let r = -335.9 + 291.9. Which is the nearest to -1? (a) -0.1 (b) -5 (c) r a Let w = 334 - 330. Let r = -0.407 - -0.207. Which is the nearest to 5/6? (a) 5 (b) w (c) r (d) 1 d Let y = -1 + 0. Let t = -330.9965 - 0.0035. Let k = 330.97 + t. Which is the closest to 2/7? (a) y (b) 0.2 (c) k b Let ...
{ "pile_set_name": "DM Mathematics" }
ia. 0.242950425 What is 3/16 of a millennium in months? 2250 How many millilitres are there in 0.041849l? 41.849 Convert 52731.88us to milliseconds. 52.73188 Convert 273279.2ml to litres. 273.2792 How many centimeters are there in 6/25 of a meter? 24 How many centimeters are there in 21/4 of a meter? 525 How many micro...
{ "pile_set_name": "DM Mathematics" }
rom {e: 9, i: 10}? 40/323 Calculate prob of sequence rr when two letters picked without replacement from rucrcrccrcrru. 5/26 Four letters picked without replacement from lpllpppppppppl. Give prob of sequence llpl. 10/1001 Three letters picked without replacement from {e: 1, q: 2, b: 2, p: 1, k: 1}. What is prob of sequ...
{ "pile_set_name": "DM Mathematics" }
s 5053117 prime? True Is 913751 prime? False Is 471271441 composite? False Is 1496809 composite? True Is 263023877 a prime number? True Is 1650371 composite? False Is 305629591 composite? True Is 15118591 a prime number? True Is 3033233 a composite number? True Is 623657 a prime number? False Is 6078313 a composite num...
{ "pile_set_name": "DM Mathematics" }
-627 + 660. What is the remainder when 157 is divided by w*-9*(-2)/18? 25 Let x(q) = -q**3 - 22*q**2 - 52*q + 98. Calculate the remainder when 153 is divided by x(-19). 0 Let x(w) = w + 3. Let m be x(6). Let c(o) = -o**3 + 10*o**2 - 8*o - 12. Let r be c(m). Calculate the remainder when (-393)/r - (-3)/((-9)/6) is divi...
{ "pile_set_name": "DM Mathematics" }
. Give -3*u(m) + 5*v(m). m + 3 Let f(y) = -2*y + y**3 - 14 + 21 - 9 - 4*y**2. Let k be ((-12)/18)/((-4)/18). Let g(c) = -c**3 + 5*c**2 + 3*c + 3. Calculate k*f(p) + 2*g(p). p**3 - 2*p**2 Let w = 8 + -11. Let x(y) = -5*y**2 + 3*y + 7. Let t(m) = 2*m**2 - m - 3. Let b(z) = w*x(z) - 7*t(z). Let j(k) = -9*k**2 + 17*k. Dete...
{ "pile_set_name": "DM Mathematics" }
r when 18 is divided by r? 4 Suppose -15*h + 19 = -14*h. Calculate the remainder when h is divided by 7. 5 Suppose -3*f - c - 31 = -158, 4*f = 3*c + 191. Calculate the remainder when f is divided by 12. 8 Let n(w) = -w**2 - 5*w + 38. Calculate the remainder when 47 is divided by n(-7). 23 Let f(z) = -3*z - 9. Suppose 3...
{ "pile_set_name": "DM Mathematics" }
16787/2 in ascending order. -0.7, 2/3, 5, 16787/2 Put 0.2, -2/17, -0.06, -0.3, -0.32 in descending order. 0.2, -0.06, -2/17, -0.3, -0.32 Sort 2, -1, 4, -76, -5, -142 in descending order. 4, 2, -1, -5, -76, -142 Sort -0.75, 0.1, -8, 1, -7, 2. -8, -7, -0.75, 0.1, 1, 2 Sort 2, 3/8, -3/10, 2/13, 0, -5 in descending order....
{ "pile_set_name": "DM Mathematics" }
2). Is y(p) a composite number? False Let w = -516 + 1577. Is w a composite number? False Let n = -1255 + 5303. Suppose -3*g = -2*k - 3019, 9*k = -4*g + 6*k + n. Is g a composite number? False Let q = 0 - 120. Is (q/84)/((-2)/14) prime? False Let j(i) = 339*i. Let a be j(3). Suppose 0*o + 2*o + 5*r - 396 = 0, a = 5*o -...
{ "pile_set_name": "DM Mathematics" }
replacement from iqqppqe. 1/105 Three letters picked without replacement from {s: 2, b: 2, u: 1, c: 4, i: 3, w: 8}. What is prob of sequence wcb? 8/855 Calculate prob of sequence ko when two letters picked without replacement from dkok. 1/6 Four letters picked without replacement from voovgtgvv. Give prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
f = -2*w - w. Is w prime? True Suppose -3*z + 431 = 4*o - 2*o, 2*o - 5*z = 471. Is o prime? True Is (22/33)/(4/1506) a composite number? False Let x = 1626 + -929. Is x composite? True Let f(o) = o - 7. Let t be f(11). Suppose -5*u - 9 = -t. Is 1284/30 - u/5 prime? True Suppose 4*q + 12 = 0, -4*f - q + 331 = -2*q. Supp...
{ "pile_set_name": "DM Mathematics" }
1053)). -144*sqrt(13) Simplify 6*(sqrt(132)/(1*sqrt(12)) + sqrt(11) - (sqrt(44)*-2)/sqrt(4)). 24*sqrt(11) Simplify -2*sqrt(27)*3*-5*-4. -360*sqrt(3) Simplify 3 + (5 + -1*sqrt(1700) + 1)**2. -120*sqrt(17) + 1739 Simplify (sqrt(11) - -1*sqrt(99)) + sqrt(11) + sqrt(704)*-1. -3*sqrt(11) Simplify ((sqrt(45) + -4 - sqrt(5)) ...
{ "pile_set_name": "DM Mathematics" }
se -2*d + 8 = 5*x, -2*x - 5*d = x - 1. Let v(b) = -b**3 + 4*b**2 - 3*b + 3. Let u be v(x). Solve -18 - 4 = -2*w - u*t, -4*t = -3*w - 13 for w. 1 Let d = -4 - -3. Let w be (0 - d)*(2 - 2). Suppose 4*z - 44 = y, -3*z - z + 3*y + 52 = 0. Solve 0 = -u + 3*u + g + 10, w = -5*g - z for u. -4 Let t be (0 + 2)*15/6. Suppose 4*...
{ "pile_set_name": "DM Mathematics" }
8 Multiply -0.018 and -2.5. 0.045 -6 * -175 1050 0.3 times -234 -70.2 Multiply -0.4 and -352.6. 141.04 Multiply 86 and 1. 86 -1.1 * -1 1.1 0.029 * -307 -8.903 Work out 558.04 * 4. 2232.16 Product of -0.2 and 0.854. -0.1708 Work out -1 * -27.9. 27.9 Product of 0.17 and 61. 10.37 What is the product of 1868 and -0.5? -93...
{ "pile_set_name": "DM Mathematics" }
inder when 6719 is divided by 11. 9 Calculate the remainder when 11423 is divided by 119. 118 What is the remainder when 267 is divided by 53? 2 Calculate the remainder when 249 is divided by 26. 15 Calculate the remainder when 10580 is divided by 11. 9 What is the remainder when 204 is divided by 56? 36 What is the re...
{ "pile_set_name": "DM Mathematics" }
(-5). What is the highest common factor of o and 12? 4 Suppose -9*n + 11*n - 22 = 0. Suppose -2*i = -2*z - 4*i + 46, 0 = -3*i + 3. Let v be z/((-6)/(-3))*1. Calculate the greatest common factor of v and n. 11 Let f = -3 + 15. What is the highest common divisor of f and 1236? 12 Let m(b) = 34*b**2 - 3*b + 2. Let q be m(...
{ "pile_set_name": "DM Mathematics" }
f*q - 12 = 26. List the prime factors of q. 19 Let p = -321 + 572. What are the prime factors of p? 251 Let p(w) = 16*w**2 + w - 1. Suppose -3*t + 11 = 5*l, -3*t - 4*l + 0*l + 10 = 0. Suppose u + t = 3*u. What are the prime factors of p(u)? 2 Let u = 117 - 45. What are the prime factors of u? 2, 3 Let x(n) = 2*n - 3 -...
{ "pile_set_name": "DM Mathematics" }
pose z + 1 = 3*d + 13, -2*d - 5*z = 8. Which is the third smallest value? (a) d (b) p (c) 0.5 c Suppose 5*l + 3*u - 32 = 0, 33 = 4*l + 2*u - 7*u. What is the second biggest value in 3/8, l, -1? 3/8 Let d = -205/284 + -2/71. Let x = -3.89 + -0.11. Which is the third smallest value? (a) d (b) x (c) 0.2 c Let k be 3...
{ "pile_set_name": "DM Mathematics" }
(12446/15) Simplify ((x**(2/5))**21/((x**(4/3)*x)/(x*x/(x/x**(-1/5))*x)))/((((x/(((x*x**(2/5)*x)/x*x)/x))/x)/x)**20)**(-46) assuming x is positive. x**(-33002/15) Simplify ((h**0)**(1/41)*h**(-1/3)*h*h**(-3))/((h**(1/3)/h)**(-10/17)*h**(-1/4)/h**(-3/4)) assuming h is positive. h**(-329/102) Simplify ((((z/(z**(-7)/z))/...
{ "pile_set_name": "DM Mathematics" }
2. 2, 13, 332892257 List the prime factors of 36993911. 71, 521041 What are the prime factors of 1291875? 3, 5, 13, 53 List the prime factors of 75672978. 2, 3, 1019, 12377 What are the prime factors of 410291856? 2, 3, 13, 61, 3593 What are the prime factors of 1821537027? 3, 202393003 List the prime factors of 122432...
{ "pile_set_name": "DM Mathematics" }
e the second derivative of -37*q**4/4 + 65*q**2/2 - 29*q - 1. What is the first derivative of b(p) wrt p? -222*p Differentiate 656 + 3*c**2 - 44*c - 72*c - 346 - 4*c**2 wrt c. -2*c - 116 Let k(r) = -59*r**2 + 12*r + 318. Let u(o) = -o**2 + 2*o + 1. Let j(n) = k(n) - 6*u(n). Find the first derivative of j(x) wrt x. -106...
{ "pile_set_name": "DM Mathematics" }
e terms in -54*l**2 + 51*l**2 - 103*l**2 - 44*l**2. -150*l**2 Collect the terms in -t - 134502 + 134502. -t Collect the terms in -2*d + 14*d + 0*d. 12*d Collect the terms in 6*m**3 - 35594*m**2 + 35594*m**2. 6*m**3 Collect the terms in 26 + o**2 - 10 - 7 - 9. o**2 Collect the terms in -18*u**2 + 6*u**2 + 7*u**2 + 9*u**...
{ "pile_set_name": "DM Mathematics" }
5*k**2*m*x + 5*k**2*x**2 - 524879*k*m**2 - 2*k*x + 3*x**2 wrt m. 26*k**2*x**2 - 1049758*k What is the second derivative of 8*f*q**2*x**3 + 2*f*q**2 - 2*f*q*x**2 - 2*f*x**3 + 9*f*x**2 + 13*f*x + 8146172*q**2*x + 2*q*x**3 - 705*q wrt q? 16*f*x**3 + 4*f + 16292344*x Find the second derivative of 372935925*k**3 - 691202*k ...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*l + t = -l. Calculate the smallest common multiple of 1 and l. 6 Let j be (-9 + 0)*-1 - -3. Suppose -j - 9 = -3*d. Calculate the least common multiple of d and 11. 77 Let o be (268/(-5))/((-5)/(-5)). Let f = -2269/40 - o. What is the common denominator of 4/2 - 49/(-5) and f? 40 Let v be 6/(-9) - 2/(-3). Sup...
{ "pile_set_name": "DM Mathematics" }
755/285)? 3/19 What is (15*242/1100 + -3)/((-12)/(-25))? 5/8 Evaluate (-19)/(-380) + 20358/(-1560). -13 100/(-2) + 1190/(-18900)*-750 -25/9 What is the value of (-7761)/104 + -4 + (520/64)/13? -78 What is the value of (-1145)/(-20610)*6/8? 1/24 Calculate 1 + -28 + 26 + (-234)/(-72). 9/4 What is the value of (-184)/560 ...
{ "pile_set_name": "DM Mathematics" }
7 - 23. Which is the closest to o? (a) j (b) -0.3 (c) d b Suppose 1846*q + 21 = 1853*q. Let i be (63/12)/(-7)*(-3 + 4). What is the nearest to 2/3 in -6, i, -1, q? i Let h = -27050 - -27051. Which is the nearest to h? (a) 0.5 (b) -12/35 (c) -0.4 a Let o = -0.203 + -0.197. Let i = o + 1.4. Let j = -0.2 + 0. Which ...
{ "pile_set_name": "DM Mathematics" }
ent from {b: 3, z: 17}. Give prob of picking 1 b and 2 z. 34/95 What is prob of picking 1 p and 3 r when four letters picked without replacement from {r: 5, i: 1, p: 2, d: 4, g: 1, m: 2}? 4/273 Calculate prob of picking 2 u when two letters picked without replacement from eeueuee. 1/21 What is prob of picking 1 x, 1 o,...
{ "pile_set_name": "DM Mathematics" }
-13/2? 4 Let u = 1073 + -53637/50. Calculate the common denominator of u and (275/(-28))/(-5)*2. 350 Suppose -4*w + 3 = 19. Find the common denominator of (1 + w/(-6))/(4/39) and 47/8. 8 Let b = -248 - -246. Let s = 3 + -3. Calculate the common denominator of (-222)/72 - (b + s) and -81/22. 132 Let u = -8 - 12. Let t =...
{ "pile_set_name": "DM Mathematics" }
of picking 2 q and 1 u when three letters picked without replacement from ukqkquqkqkkkqkk. 4/91 Three letters picked without replacement from nhhwohwhzwnhng. What is prob of picking 1 o and 2 w? 3/364 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from etneeneeeeteehwe. 1/56 What is...
{ "pile_set_name": "DM Mathematics" }
**2 + k + 4. What is the units digit of q(z)? 2 Suppose 13 = 3*o + 1. Suppose -o*r = -3*g + 31, -r + 44 = g + 4*g. What is the units digit of g? 9 Let z = 10 - 6. Let j(q) = 3*q - 1. Let l be j(z). Let k = -7 + l. What is the units digit of k? 4 Let u(l) = -3*l + 38. What is the tens digit of u(-13)? 7 Let h = 45 + -72...
{ "pile_set_name": "DM Mathematics" }
3*s(d)? -2*d - 4 Let h(a) be the first derivative of 14*a**3/3 - 5*a**2/2 + 3*a + 27. Let w(o) = -o**2 + o - 1. What is -h(z) - 5*w(z)? -9*z**2 + 2 Suppose -2*u = -3*n + 4, -5*n = -4*n + 3*u - 16. Let j(q) = n*q - 2*q + 3 + 0. Let y(x) = -x - 1. Give -2*j(b) - 7*y(b). 3*b + 1 Let q(y) = -2*y**2 - 25*y**3 + 7*y**3 + 5*...
{ "pile_set_name": "DM Mathematics" }
and 3 n when four letters picked without replacement from {r: 3, n: 3, a: 2, k: 1, f: 1}. 1/70 Three letters picked without replacement from kudtudatxuktuxaadxu. Give prob of picking 1 d, 1 a, and 1 x. 9/323 What is prob of picking 2 u and 1 f when three letters picked without replacement from uuquqqf? 3/35 Four letter...
{ "pile_set_name": "DM Mathematics" }
(-2*sqrt(1053))**2 + sqrt(1053))) + sqrt(1053))*1 - sqrt(26)/(sqrt(72)*-2). -4212 + 217*sqrt(13)/12 Simplify (3*sqrt(30))/sqrt(6) + -2. -2 + 3*sqrt(5) Simplify 6*(2*sqrt(228))/sqrt(12)*2. 24*sqrt(19) Simplify (2*(sqrt(125) + 2) - -6*(sqrt(125) - (sqrt(125) + -1)))**2. 200*sqrt(5) + 600 Simplify (-1*sqrt(600))/sqrt(3). ...
{ "pile_set_name": "DM Mathematics" }
3, u: 1, p: 16}. Give prob of picking 1 f and 1 p. 24/95 Two letters picked without replacement from {c: 7, y: 3, u: 2}. Give prob of picking 2 c. 7/22 Three letters picked without replacement from wwrvrvvrwrrww. What is prob of picking 2 r and 1 v? 15/143 What is prob of picking 3 b when three letters picked without ...
{ "pile_set_name": "DM Mathematics" }
**3 + 6236*t**2 - 8356*t - 13888 = 0. Calculate t. -16, -14, -1, 2, 31 What is u in u**4/8 + 1917*u**3/8 + 19069*u**2/8 - 1917*u/8 - 9535/4 = 0? -1907, -10, -1, 1 Factor 5*x**5 - 70*x**4 + 220*x**3 - 200*x**2. 5*x**2*(x - 10)*(x - 2)**2 Factor -3*s**4 + 3093*s**3 + 46845*s**2 + 234975*s + 392250. -3*(s - 1046)*(s + 5)*...
{ "pile_set_name": "DM Mathematics" }
= 2661000*b. Let i(c) = 3*c. Calculate x(i(j)). 7983000*j Let i(a) = 586*a + 40261. Let c(t) = t. Determine c(i(d)). 586*d + 40261 Let l(z) = 4*z**2. Let o(f) = 21117*f - 11313*f - 10466*f. Determine l(o(k)). 1752976*k**2 Let h(g) = -287*g. Let r(n) = 2223*n. Give r(h(w)). -638001*w Let v(z) = 502972231 - 502972231 - ...
{ "pile_set_name": "DM Mathematics" }
f + 3, 0*j = f + l*j - 7. Solve -4*h + 3 = -f for h. 1 Let h be ((-64)/160)/(-1*(-1)/(-5)). Solve 0 = -o + h - 7 for o. -5 Suppose -v = v - 56. Let n = v + -23. Suppose n*x - 45 = -l, x - 5*l - 18 = -x. Solve 3*k - 6 = x for k. 5 Let w be 1/3 - 33/(-9). Suppose -2*h + 32 = 3*s, -w*h + 62 = -s + 12. Suppose 3*f = 2 + h....
{ "pile_set_name": "DM Mathematics" }
0? 8 Let y = 3 - 2. What is the units digit of 2 - ((-4)/(-2) - y)? 1 Suppose -3*u + 2*u + 65 = 0. Suppose -5*y - u = -5*t, -5*y + 3 + 12 = 3*t. What is the tens digit of t? 1 Suppose 18 = -0*g + 3*g. What is the units digit of g? 6 Suppose 0 = 3*b - 8*b. Suppose 5*g + 2 + 13 = b. Let h = 15 + g. What is the tens digit...
{ "pile_set_name": "DM Mathematics" }
et x(a) = b*y(a) + 4*m(a). Let c(l) = -2*l. What is x(c(d))? -12*d**2 Let x(a) = -17. Let i(w) = -w**2 + 1. Let h(c) = -17*i(c) - x(c). Let b(n) = 3*n. What is h(b(d))? 153*d**2 Let h(l) be the first derivative of 6 + 4*l**2 + 3 + 0 - 2*l**2. Let q(i) be the first derivative of 3*i**2/2 + 1. What is h(q(d))? 12*d Let y...
{ "pile_set_name": "DM Mathematics" }
et t(c) = -225*c - 15. Let v(l) = -32*l - 2. Let h(z) = -2*t(z) + 15*v(z). What are the prime factors of h(-1)? 2, 3, 5 Let b be ((-8)/6)/((-4)/(-18)). Let a = 14 + b. List the prime factors of a. 2 List the prime factors of 27/(-2)*32/(-24). 2, 3 Suppose 35 = s - 1. Suppose -k - 23 = -4*i, 4*i - 22 - 4 = 2*k. Suppose ...
{ "pile_set_name": "DM Mathematics" }
ut 0.05 * 60. 3 -0.17 * -98 16.66 -1.046 * 15 -15.69 Work out 100 * 0.01. 1 Work out 2.6 * 403. 1047.8 Multiply 18 and 0.29. 5.22 5834 times 0.4 2333.6 -0.035 times -0.5 0.0175 0.49*-0.194 -0.09506 -5 * -0.209 1.045 Work out -0.22 * 3.35. -0.737 Multiply 1 and -0.13. -0.13 Calculate 0.4*0.4642. 0.18568 What is the prod...
{ "pile_set_name": "DM Mathematics" }
factors of 2283. 3, 761 What are the prime factors of 41651? 41651 What are the prime factors of 167247? 3, 18583 List the prime factors of 9601. 9601 What are the prime factors of 1065? 3, 5, 71 List the prime factors of 22765. 5, 29, 157 What are the prime factors of 7932? 2, 3, 661 List the prime factors of 5297. 52...
{ "pile_set_name": "DM Mathematics" }
c/(-6). Differentiate -10*a**3 - 2*a**3 + v*a**3 - 12 - 6*a**3 with respect to a. -39*a**2 Let w(b) = -3*b. Let j(r) = 106*r + 9. Let u(o) = j(o) - 4*w(o). What is the derivative of u(d) wrt d? 118 Let r(x) = 3*x**2 - 9*x. Let q(l) = -l**2 + 4*l. Let p be 52/(-12) + (-2)/3. Let k(j) = p*q(j) - 2*r(j). What is the secon...
{ "pile_set_name": "DM Mathematics" }
What is the k'th term of 3911, 7891, 11871, 15851, 19831? 3980*k - 69 What is the f'th term of -637, -1276, -1975, -2764, -3673, -4732? -5*f**3 - 604*f - 28 What is the j'th term of -12476, -12469, -12462, -12455, -12448? 7*j - 12483 What is the h'th term of 11584, 23132, 34680? 11548*h + 36 What is the g'th term of 5...
{ "pile_set_name": "DM Mathematics" }
he biggest value in -4, 2, i? 2 Let r = 0.08 + -0.04. Let t = 0.14 - r. What is the second biggest value in t, -2, -1? -1 Let b = 0.12 + -0.1. Let m = -0.09 + b. Let x = m + -4.93. What is the second biggest value in x, -2, -4? -4 Let j = -161 + 158. What is the second smallest value in -0.2, 2, j, -2? -2 Let h = -129 ...
{ "pile_set_name": "DM Mathematics" }
e next term in 32862, 32868, 32878, 32892? 32910 What is next in 560, 1070, 1462, 1676, 1652? 1330 What is next in 472, 679, 896, 1129, 1384? 1667 What is the next term in 238, 180, 108, 16, -102? -252 What is next in -4414, -8848, -13290, -17740? -22198 What is the next term in 6475, 12851, 19131, 25315, 31403, 37395,...
{ "pile_set_name": "DM Mathematics" }
Let m(y) be the second derivative of -y**6/360 + 7*y**4/2 + 38*y + 2. Let u(l) be the third derivative of m(l). Determine i(u(r)). 28*r**2 - 10*r Let b(p) = -125434*p. Let z(q) = 6*q**2. Determine b(z(u)). -752604*u**2 Let q(c) = -c**2. Let a(b) be the third derivative of -97*b**4/4 - 26*b**2 + b. Give q(a(u)). -338724...
{ "pile_set_name": "DM Mathematics" }
9 + -3)/((-22)/99). 3 Calculate (9/(-12))/((-3)/16). 4 What is 3 + -8 - -2 - 0? -3 Calculate ((-52)/(-585))/((-1)/5). -4/9 (7 + -5)*10/(-5) -4 What is ((-475)/(-76) - 7) + 17/28? -1/7 What is the value of ((-1)/(-3))/(10/(-20))? -2/3 What is the value of ((-6)/16)/(72/32)? -1/6 Evaluate (-2)/5 + 4/10 + 3. 3 Evaluate (-...
{ "pile_set_name": "DM Mathematics" }
. Let m(w) = -2*r(w) + 5*u(w). Does 21 divide m(-5)? True Suppose -4*d + 6 = 2*v - 20, 4*v = 4*d - 56. Suppose -d*c = -7*c - l - 1228, -5*l = c - 636. Is 44 a factor of c? True Suppose 4*z = -j + 6411, -3*j + 2582 = 5*z - 16637. Is 19 a factor of j? True Let m(t) = -t**2 + 7*t + 34. Suppose 5*i = -5*j + 80, j - 4*i - 8...
{ "pile_set_name": "DM Mathematics" }
*p for p. -3 Suppose -3*q - 102 = -2*a, -3*a = 5*q - 49 - 123. Suppose a*t - 55*t = -23. Solve 2*z = -3*r + 4*z - t, 4*r = -5*z for r. -5 Let s be (-54)/(-45)*40/6. Let o be ((-10)/s)/((-7)/56). Let b(d) = d**3 - 7*d**2 + 8*d - 10. Let f be b(6). Solve -5*k + o*k - f*t = 18, 0 = 2*k - t - 7 for k. 4 Suppose -4*m - 4 = ...
{ "pile_set_name": "DM Mathematics" }
tors of m? 2, 7 Let j be (24/10)/((-4)/(-60)). Let s be (2*(-21)/(-9))/((-4)/(-6)). Let q = j - s. List the prime factors of q. 29 Let b be (9/6)/((-2)/(-4)). Let u(d) = 3*d**2 + d + 1. Let m be u(b). Suppose -m - 54 = -5*s. What are the prime factors of s? 17 Let g(q) = 571*q - 285*q - 279*q - 12. Let b be (-7)/(0 - (...
{ "pile_set_name": "DM Mathematics" }
288)*-2)*4. sqrt(19)/9 Simplify (1 + 3 + sqrt(1053)*2*-3)**2*-2. -75848 + 864*sqrt(13) Simplify (sqrt(91)/(2*sqrt(7)*-1) - 4*(sqrt(1573) + sqrt(1573) + 2))**2*2. 2832*sqrt(13) + 407533/2 Simplify (sqrt(2016) + 1*sqrt(2016)*3)/(-6*(sqrt(112) + sqrt(112)*3) + sqrt(112)). -12*sqrt(2)/23 Simplify ((6*sqrt(104) + sqrt(104))...
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {n: 1, z: 4, v: 7, i: 3, k: 1}. Give prob of picking 1 k, 1 n, and 2 i. 3/1820 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 5, e: 3}. 15/28 Calculate prob of picking 3 k and 1 f when four letters picked without replacement from occc...
{ "pile_set_name": "DM Mathematics" }
2101110022212 (base 3) to base 13 -1779272 Convert 15a81b (base 13) to base 3. 1000022020100 -e002 (base 15) to base 6 -1002432 80951 (base 12) to base 8 506515 -1ab4b8 (base 15) to base 8 -4762417 263253 (base 7) to base 2 1100000000100001 What is -8957 (base 13) in base 7? -106613 Convert -e49c66 (base 15) to base 7....
{ "pile_set_name": "DM Mathematics" }
d give n. 0 Express -z**4 + 2*z**2 - 175*z + 175*z - 3*z**3 + 4*z**3 as f*z**3 + p*z**4 + x + b*z + h*z**2 and give p. -1 Express 1 + 22*o**2 + 3 + 2*o - 6 in the form p*o + x + n*o**2 and give p. 2 Express 4*q**2 - 2*q**2 - 4*q**2 + (2*q - 4*q + 3*q)*(2 + q - 2) + 1 - 2*q**2 + 3 - 7 as r + x*q + k*q**2 and give k. -3 ...
{ "pile_set_name": "DM Mathematics" }