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*2 - 35*l + 1748 What is the m'th term of 69020, 138033, 207044, 276053, 345060, 414065, 483068? -m**2 + 69016*m + 5 What is the c'th term of -477, -3902, -13197, -31296, -61133, -105642, -167757? -489*c**3 - c**2 + c + 12 What is the v'th term of -35, -9, 19, 31, 9, -65? -3*v**3 + 19*v**2 - 10*v - 41 What is the i'th ...
{ "pile_set_name": "DM Mathematics" }
9)/28490. Let v = m + 7/74. Find the common denominator of v and -127/6. 42 Let f(v) = -v**3 + 3*v**2 + v - 5. Let k be f(3). Find the common denominator of 95/2 and (516/80)/(3/k). 10 Let i be (-29268)/16 - (-1)/2. Let q = i + 66001/36. Find the common denominator of (28/(-6))/(4/(-9)) and q. 18 Let m = 163 - 160. Wha...
{ "pile_set_name": "DM Mathematics" }
losest to g? (a) -3/2 (b) -1 (c) 0.05 (d) -2/9 a Let t = 5591/35 - 1114/7. Which is the closest to -2? (a) 1/12 (b) -15 (c) t a Let n = -71.732 - -73.732. Let p = 1 + -2. Which is the nearest to p? (a) 3 (b) -0.2 (c) n b Let v(p) = 173*p + 6053. Let r be v(-35). Which is the closest to 3? (a) -3 (b) 1 (c) ...
{ "pile_set_name": "DM Mathematics" }
u. Calculate the remainder when t is divided by p(7). 5 Let p(b) = -b**3 - 11*b**2 + 2*b**3 - 16 - 1 + 6*b + 7*b**2 - 3*b. What is the remainder when 526 is divided by p(5)? 20 Let d(c) = 9*c**3 - c**2 + 2*c - 1. What is the remainder when 966/(32 + -101) + 86/2 is divided by d(1)? 2 Let u(v) = v**3 - 5*v**2 + 2*v - 5...
{ "pile_set_name": "DM Mathematics" }
- 12 for j. 3 Solve 178 = a + 181 for a. -3 Solve 6*w - 14 = 4 for w. 3 Solve 7*a - 21*a = 84 for a. -6 Solve 308 = 4*i + 316 for i. -2 Solve 5*v - 28 = -2*v for v. 4 Solve 0 = -7*q - 702 + 674 for q. -4 Solve -160*d + 261 = -131*d for d. 9 Solve -8*f + 217 = 281 for f. -8 Solve -2*r = -5*r + 9 for r. 3 Solve 0 = 10*f ...
{ "pile_set_name": "DM Mathematics" }
inder when u is divided by z. 8 Calculate the remainder when 2 - (-15 - 0)*4 is divided by 9. 8 Let t(w) = -4*w - 1. Let f(k) be the first derivative of 4*k**2 - 5*k - 1. What is the remainder when f(4) is divided by t(-2)? 6 Suppose 10 = 2*r - 16. What is the remainder when 24 is divided by r? 11 Suppose 0 = 2*b - 3*d...
{ "pile_set_name": "DM Mathematics" }
common divisor of 6564210 and 20256. 1266 What is the greatest common factor of 301800 and 380200? 200 What is the greatest common factor of 2144054 and 11726? 902 Calculate the greatest common divisor of 9682200 and 19008. 2376 Calculate the highest common divisor of 4160 and 137035. 5 What is the greatest common divi...
{ "pile_set_name": "DM Mathematics" }
*(sqrt(704) + -2*sqrt(704) + -4 + (sqrt(704)*1*-3 - sqrt(704) - sqrt(704)))**2 + 0. -50720 - 768*sqrt(11) Simplify (2*sqrt(1815) + sqrt(1815) + sqrt(1815) - sqrt(15))/(sqrt(245)*1). 43*sqrt(3)/7 Simplify ((2*(sqrt(132) - sqrt(132)*-4 - sqrt(132)))/(sqrt(48)*-3) + -2)*-5. 10 + 20*sqrt(11)/3 Simplify -1*((sqrt(539) + -2)...
{ "pile_set_name": "DM Mathematics" }
n'th term of 550, 546, 538, 526, 510? -2*n**2 + 2*n + 550 What is the m'th term of 740, 739, 738? -m + 741 What is the n'th term of 92, 341, 756, 1337, 2084, 2997? 83*n**2 + 9 What is the h'th term of -25, -237, -611, -1165, -1917, -2885, -4087? -3*h**3 - 63*h**2 - 2*h + 43 What is the a'th term of 192, 765, 1720, 305...
{ "pile_set_name": "DM Mathematics" }
? -0.05 What is the closest to 2 in -1, 0.5, 1, 6? 1 What is the closest to -3 in -2, -0.5, 2, -0.4? -2 What is the closest to -1 in -4/5, -343, -3? -4/5 Which is the closest to -1? (a) 0 (b) 1/6 (c) 4 (d) -0.5 d Which is the closest to 0.06? (a) 0.4 (b) -1.3 (c) -0.4 (d) 3 a Which is the closest to -0.4? (a) ...
{ "pile_set_name": "DM Mathematics" }
op. Give prob of sequence kb. 2/91 Two letters picked without replacement from {z: 1, n: 1, s: 2, o: 9}. Give prob of sequence ss. 1/78 Two letters picked without replacement from {p: 5, f: 1, t: 1, u: 1, x: 1, d: 3}. What is prob of sequence fu? 1/132 Three letters picked without replacement from ibkkciccb. What is pr...
{ "pile_set_name": "DM Mathematics" }
is divided by t? 131 Let i(k) = k**2 + 7*k + 19. Let a be i(8). Suppose -5*g - a = -19. Calculate the remainder when 11 is divided by (g/30)/((-2)/5). 1 Let r = -461 - -260. Let u = -36 - r. What is the remainder when u is divided by 28? 25 Suppose -104 = 2*h - 6*h. Suppose -2*q = 5*p - 39, -4*p = -492 + 520. Calculat...
{ "pile_set_name": "DM Mathematics" }
25 - 136.199. Let h = s - m. Which is greater: 7/5 or h? 7/5 Let y = -22837 + 34986. Does 12149 = y? True Let i(t) = 86*t**3 - 5*t**2 - 2*t + 4. Let x be i(2). Which is greater: 670 or x? 670 Let i be (10 - 2)*(-200)/(-80). Suppose 33*l = i*l. Is l at most -2/61? False Suppose 24378 = 101*m - 7171 - 4104. Is 360 <= m? ...
{ "pile_set_name": "DM Mathematics" }
)? 12 Suppose -2764 = -4*p - 4*n, 0 = p + 146*n - 144*n - 696. Calculate the remainder when p is divided by 53. 50 Let i(t) = 25*t**3 - 6*t**2 + 3*t + 7. Let d be i(3). Calculate the remainder when (d/39)/((-2)/(-12)) is divided by 20. 18 Let x(d) = d**2. Calculate the remainder when x(-5) is divided by 24. 1 What is t...
{ "pile_set_name": "DM Mathematics" }
of 53? 3 What is the tens digit of 9285? 8 What is the hundreds digit of 12837? 8 What is the tens digit of 1520? 2 What is the tens digit of 2328? 2 What is the units digit of 81774? 4 What is the units digit of 11622? 2 What is the tens digit of 2907? 0 What is the hundreds digit of 17584? 5 What is the thousands di...
{ "pile_set_name": "DM Mathematics" }
rd derivative of b**4/12 - b**3/6 + 2*b**2. Let o be z(4). Suppose o*g - 4*g - u = 16, 16 = -g - 5*u. What are the prime factors of g? 2 Let b(n) be the third derivative of n**5/20 - n**4/24 - n**3/3 + n**2. What are the prime factors of b(-2)? 2, 3 Let s(v) = v**2 - 1. Let d be s(0). Let u = d + 4. Suppose -2*f - u*m ...
{ "pile_set_name": "DM Mathematics" }
the second derivative of 13*d**3 + 179*d? 78*d What is the second derivative of b**2*g - b**2*w**2 + 2*b*g**2*w**2 - 6*b*g*w - 3*g**2*w + 15*g*w**2 - 5*w wrt w? -2*b**2 + 4*b*g**2 + 30*g Find the first derivative of -317*n**2*u - n**2 + 2*n*u - 10785*u wrt n. -634*n*u - 2*n + 2*u What is the first derivative of 2216*a...
{ "pile_set_name": "DM Mathematics" }
ositive. z**(-1855/891) Simplify ((z/z**(-24)*z)/(((z*z/(z*z*z**(4/3))*z)/z)/z)*z/(z**33*z)*z*z*z**(-1/18)/z*z)**(1/24) assuming z is positive. z**(-49/432) Simplify (b*(b*b*(b/b**(3/2))/b*b)/b*b*b**9*b*b**(-5)*b*b**5)/((b*b**(-4/3))/(b/(b*b**(-7)))*(b*b**(2/7)*b)/(b*(b**(-9)/b*b)/b)) assuming b is positive. b**(401/42...
{ "pile_set_name": "DM Mathematics" }
. Let g be i(-2). Suppose g = -5*q - 15, -8*q - d = -2*o - 3*q. Sort 1, -3, o in decreasing order. 1, o, -3 Let o = 12/7 + -3/14. Let k be (-30)/44 + (-1)/(-2). Let r = -2 - -1.5. Put r, k, o in descending order. o, k, r Let w = 0 - 6. Let q be -3 + 4 - (-2)/w. Let b = 0.44 - 0.04. Put b, q, 2 in decreasing order. 2, q...
{ "pile_set_name": "DM Mathematics" }
hen three letters picked without replacement from {c: 2, d: 1, e: 1, r: 2, b: 1}? 1/35 Calculate prob of picking 4 w when four letters picked without replacement from {k: 4, n: 12, w: 4}. 1/4845 What is prob of picking 1 q and 2 c when three letters picked without replacement from {j: 2, a: 1, k: 3, q: 4, c: 6}? 3/28 T...
{ "pile_set_name": "DM Mathematics" }
ive. m**(-151/6) Simplify (r**(-1/14)*r*r**(2/69))/(r/r**(1/5)*(r/(r/(r*r/r**7)))/r) assuming r is positive. r**(29741/4830) Simplify (((m**1)**(-13/6))**18)**19 assuming m is positive. m**(-741) Simplify (f**(-7/3))**28/(f**(-5)/((f/(f*f/(f**(5/7)*f*f)*f))/f)) assuming f is positive. f**(-1273/21) Simplify (r**(-1/5)*...
{ "pile_set_name": "DM Mathematics" }
nd l. 7 Suppose -11*u - 82 = -5*y - 5*u, 2*y - u - 30 = 0. Calculate the highest common divisor of y and 490. 14 Let s = 2254 - 1902. What is the highest common factor of 66 and s? 22 Suppose 31*k - 36*k = -445. Suppose 4*s + s = -2*d + k, d = -2*s + 36. What is the greatest common factor of s and 68? 17 Let b(p) = 14*...
{ "pile_set_name": "DM Mathematics" }
lect the terms in -184*y**3 + 454*y**3 + 440*y**3 - 78*y**3. 632*y**3 Collect the terms in -12*t - 2*t - 56 - 9*t + 10*t. -13*t - 56 Collect the terms in 848*f**3 + 844*f**3 + 845*f**3 - 3380*f**3 + 841*f**3. -2*f**3 Collect the terms in -12199*d - 10390*d + 62*d + 4827*d. -17700*d Collect the terms in -58*j**2 + 27*j*...
{ "pile_set_name": "DM Mathematics" }
4, -2, -5 Put -1/3, -20, -4, -3 in decreasing order. -1/3, -3, -4, -20 Sort -3, 7, 4, 5 in increasing order. -3, 4, 5, 7 Sort 0.3, -46, -67 in ascending order. -67, -46, 0.3 Sort 7, -2, -4, 0. -4, -2, 0, 7 Sort 7, 191, 2 in descending order. 191, 7, 2 Put -1/6, 2/17, -5 in increasing order. -5, -1/6, 2/17 Sort 0.5, 4, ...
{ "pile_set_name": "DM Mathematics" }
e power of 1/3, to the nearest integer? 818 What is 131350575 to the power of 1/4, to the nearest integer? 107 What is 1501044936 to the power of 1/2, to the nearest integer? 38743 What is the third root of 1456444770 to the nearest integer? 1134 What is 9010623 to the power of 1/2, to the nearest integer? 3002 What is...
{ "pile_set_name": "DM Mathematics" }
g(b) = -3*b**3 - 4*b**2 + 27*b - 78. Let y(l) = g(l) + 2*h(l). Find the first derivative of y(r) wrt r. -3*r**2 + 25 Differentiate m**2 - 473 + m**4 - m**2 - 10*m**3 - 4*m**3 with respect to m. 4*m**3 - 42*m**2 Let p(i) be the second derivative of -i**6/15 - 7*i**5/10 - 563*i**4/12 + 14*i + 2. What is the third derivat...
{ "pile_set_name": "DM Mathematics" }
ond derivative of 7*z**4 - 33*z + h - 764 wrt z. 84*z**2 Let n(p) be the second derivative of 94*p**6/15 + 29*p**4/2 + 174*p. What is the third derivative of n(v) wrt v? 4512*v Let f(a) be the first derivative of -79*a**4/4 + 2*a**3/3 - 36*a + 50. What is the derivative of f(y) wrt y? -237*y**2 + 4*y Let a(j) be the se...
{ "pile_set_name": "DM Mathematics" }
osest to 2/11? (a) -3 (b) -4599.38 (c) 1/3 (d) -5 c What is the nearest to 4 in -25, -2/5, -0.1, 9, -0.02? -0.02 Which is the nearest to 2? (a) 0.5 (b) 628/27 (c) -2/17 (d) -0.5 (e) -0.04 (f) 0.3 a Which is the closest to 2/9? (a) 24.468 (b) -7 (c) 255 b What is the nearest to 45 in -2/13, 17269, 7/5? 7/5 ...
{ "pile_set_name": "DM Mathematics" }
Let c(f) = 218*f**3 + 16*f**2 + 6*f - 11. Let w(i) = 44*i**3 + 3*i**2 + i - 2. Let u(g) = 2*c(g) - 11*w(g). What is the third derivative of u(q) wrt q? -288 Let j(h) = -11*h**2 + 4*h - 10. Let d(i) = -10*i**2 + 3*i - 9. Let q(n) = 4*d(n) - 3*j(n). What is the first derivative of q(u) wrt u? -14*u Suppose -5*l + 18 - 3...
{ "pile_set_name": "DM Mathematics" }
and 12358? 74 Calculate the greatest common divisor of 43970 and 90. 10 Calculate the greatest common factor of 9020 and 2132. 164 Calculate the highest common divisor of 26290 and 258598. 478 What is the highest common factor of 219241 and 704? 11 Calculate the greatest common divisor of 28566 and 1674. 54 What is the...
{ "pile_set_name": "DM Mathematics" }
late prob of picking 1 o and 2 f when three letters picked without replacement from iofffwwjiw. 1/40 Three letters picked without replacement from {f: 8, x: 6, e: 3}. Give prob of picking 1 e and 2 f. 21/170 What is prob of picking 3 c and 1 o when four letters picked without replacement from {c: 2, v: 1, f: 1, g: 8, o...
{ "pile_set_name": "DM Mathematics" }
derivative of k(p) wrt p? -12*p - 2002 Let z be (12*69/9)/(2*1). Let w = z + -8. What is the second derivative of -258 - w*v - 40*v**2 + 258 wrt v? -80 Let c(j) be the third derivative of 1/20*j**6 + 0*j + 0*j**5 - 5*j**2 - 5 + 0*j**4 + 191/6*j**3. Find the first derivative of c(a) wrt a. 18*a**2 Let l = -304 - -306. ...
{ "pile_set_name": "DM Mathematics" }
- 2 = 0. Suppose -f = -4, 2 + 4 = -2*m - f. Which is greater: u or m? u Let q = 29 - 29. Let v = 1454/13 - 112. Is v > q? False Let l = 28957 - 39815877/1375. Let i = 6891/11000 + l. Suppose 0 = 135*v + 469*v. Which is greater: i or v? i Let i = 0.08 - -0.52. Let u = i + -0.7. Is u greater than or equal to -6/11? True...
{ "pile_set_name": "DM Mathematics" }
20*g**3 Let x(r) be the first derivative of -92*r**7 + 427*r**3/3 + 342. Find the third derivative of x(l) wrt l. -77280*l**3 Let l be (-2*(-5)/4)/(11/22). Find the third derivative of 2*s**3 + s**2 + 17*s**l + 2*s**2 + 6*s**2 + 2 - 6*s**2 wrt s. 1020*s**2 + 12 Let t(a) = 23*a**4 + 17*a**3 - 47*a**2 + 17*a + 234. Let o...
{ "pile_set_name": "DM Mathematics" }
-3 - (22 + -3)) + (61 - 49) 1 Calculate (-76 - -138) + (-29 - -19). 52 What is the value of (7 - -13) + -60 - -52? 12 (13 - (-4 + 6 + 4) - (-125 + 28)) + 10 114 What is the value of 95 - (30 + 38 - 4)? 31 (1 - 25) + (302 - 149 - 153) -24 (-2 - 21) + 88 + -8 + -3 54 What is the value of 493 + -491 + 0 + -40? -38 Evalua...
{ "pile_set_name": "DM Mathematics" }
t is positive. t**(-100337/18180) Simplify (l**0/l)/l**(1/15)*(l*l/(l/(l/(l/(l**6*l)))*l))/(l/(l*l*l/(l**(3/5)/l)*l)) assuming l is positive. l**(28/3) Simplify (d**12)**(2/37)/(d**(-1/7)/((d/(d**(-24)/d))/d)) assuming d is positive. d**(6680/259) Simplify (t**1)**(-36)/(t**(-1/4))**(-2/5) assuming t is positive. t**(-...
{ "pile_set_name": "DM Mathematics" }
erms in -168*j**3 - 88*j**3 + 11*j - 11*j + 238*j**3. -18*j**3 Collect the terms in 10*s**2 + 12*s - 4*s - 2*s - 4*s. 10*s**2 + 2*s Collect the terms in 537 - 1078 + 0*d**2 - 17*d**2 + 541. -17*d**2 Collect the terms in -367 - 52*n**3 + 367 - 280*n**3. -332*n**3 Collect the terms in -19*p**2 - 27*p**2 + 215*p**2 - 28*p...
{ "pile_set_name": "DM Mathematics" }
47 + -44. Suppose 6*a = 255 - w. Is a a multiple of 9? False Let z(t) be the first derivative of 25*t**2/2 - 3*t + 9. Does 11 divide z(2)? False Let r(l) = -2*l**3 - 7*l**2 - 2*l + 7. Let c be r(-3). Suppose c*a - 188 = -v, -5*v + 5*a + 0*a + 815 = 0. Is 24 a factor of v? True Is 117 a factor of 2/16 + ((-1259180)/32)...
{ "pile_set_name": "DM Mathematics" }
ked without replacement from wlmwfwtifffllf. What is prob of picking 1 t, 1 w, and 2 l? 9/1001 What is prob of picking 1 l, 1 q, and 2 e when four letters picked without replacement from ddqvlqlvfleddddelev? 2/323 Two letters picked without replacement from {p: 2, l: 1, m: 2, r: 1, s: 1, z: 1}. Give prob of picking 1 z...
{ "pile_set_name": "DM Mathematics" }
t in 506583, 2026392, 4559407, 8105628, 12665055, 18237688? 24823527 What is next in 2289, 4327, 6387, 8469, 10573, 12699, 14847? 17017 What is the next term in 7275, 3397, -3095, -12225, -24017, -38495, -55683, -75605? -98285 What is next in -4019548, -8039065, -12058556, -16078021, -20097460? -24116873 What comes nex...
{ "pile_set_name": "DM Mathematics" }
(n) + b(n). Calculate l(s(w)). 9*w**4 Let y(i) = -5*i + 3. Let z(b) = 3*b**2 - 45*b - 63. Give z(y(x)). 75*x**2 + 135*x - 171 Let n(r) be the third derivative of r**5/30 - 192*r**2. Let s(g) = -8*g. Give n(s(f)). 128*f**2 Let g(f) be the first derivative of 83*f**3/3 - 158. Let q(b) = -2*b. Give g(q(n)). 332*n**2 Let d...
{ "pile_set_name": "DM Mathematics" }
in -1508, 1/5, -237, 33? 1/5 Which is the nearest to 1/4? (a) 3/14 (b) -7/181 (c) 5/2 (d) 1 a What is the closest to -1 in 5, -8/7, 26, -29? -8/7 Which is the closest to -875? (a) 0.02 (b) -8 (c) -7/5 (d) -1/4 (e) -3 b What is the closest to -0.02 in -3/2, -0.2, 2/271, 0.6, 4/7, 0.4? 2/271 What is the closest...
{ "pile_set_name": "DM Mathematics" }
e w so that -w**5/2 + 40*w**4 - 1403*w**3/2 - 2392*w**2 - 1650*w = 0. -2, -1, 0, 33, 50 Factor 2*f**2 + 8080*f/3 - 335654/3. 2*(f + 1387)*(3*f - 121)/3 Solve -8*p**5/3 + 11996606*p**4/3 - 4497729269312*p**3/3 + 205745303432404*p**2/3 + 263084914889480*p/3 + 52841870191150/3 = 0 for p. -1, -1/4, 47, 749765 Find r such t...
{ "pile_set_name": "DM Mathematics" }
5861770 Find the first derivative of 3*w*x**2 - 11*w*x + 5*w - 5*x**2 - 17378*x + 340323 wrt x. 6*w*x - 11*w - 10*x - 17378 What is the third derivative of 478*x**5 - 4589*x**4 + 3*x**3 + 4*x**2 + 1029039*x + 2 wrt x? 28680*x**2 - 110136*x + 18 Differentiate 83463968*x + 326250372 with respect to x. 83463968 What is th...
{ "pile_set_name": "DM Mathematics" }
-2*q = -t*i + 2*q + 15, -i + 3 = 2*q for i. 3 Let j = -569 - -574. Solve -h + 0 = -3*a - 3, j*a = 0 for h. 3 Suppose -18 = -2*o - 0*o + 4*c, -18 = -4*o - c. Suppose 9*k = o*k + 12. Let x be (-8)/7*455/(-130). Solve 0 = -k*s, s - 15 = x*j - j for j. -5 Let q be 73/(-146) - 9/(-2). Solve -4*s + 41 = 5*o, -2*s - q = -3*s...
{ "pile_set_name": "DM Mathematics" }
+ 234 What is the j'th term of 10, -30, -166, -446, -918? -8*j**3 + 16*j + 2 What is the c'th term of -308, -309, -310, -311, -312? -c - 307 What is the o'th term of -11, -23, -37, -53, -71? -o**2 - 9*o - 1 What is the n'th term of -12, -37, -76, -129, -196? -7*n**2 - 4*n - 1 What is the t'th term of -70, -139, -208, ...
{ "pile_set_name": "DM Mathematics" }
r 1 + 7/6*d + 1/6*d**4 - 1/2*d**3 - 1/2*d**2. (d - 3)*(d - 2)*(d + 1)**2/6 Determine t, given that 5/2*t**3 + 0 + 10*t**2 - 5/2*t**4 - 10*t = 0. -2, 0, 1, 2 Let t(w) be the second derivative of -3*w**6/70 - 3*w**5/20 - 5*w**4/28 - w**3/14 + 334*w. Factor t(z). -3*z*(z + 1)**2*(3*z + 1)/7 Let q(i) = -4*i**3 - 238*i**2 -...
{ "pile_set_name": "DM Mathematics" }
0*k**2 - j*k**3 - 10 + 0*k**2 with respect to k. -12*k**2 Let v(k) be the third derivative of k**8/168 + 85*k**4/24 - k**3/3 - 6*k**2. Find the second derivative of v(d) wrt d. 40*d**3 Let f(v) be the second derivative of -29*v**6/3 + 299*v**3/6 - 117*v. Find the second derivative of f(d) wrt d. -3480*d**2 Let a(p) be ...
{ "pile_set_name": "DM Mathematics" }
*3 - 4*k**2 wrt k. -498 Let t = -81 + 86. Suppose 3*a = t*a. What is the derivative of a*w**2 - 3*w**2 + 13*w**2 + 29 wrt w? 20*w Let k(v) = -2*v**3 + v**2 + 2*v + 1. Let t be k(-1). Differentiate y + y**2 + 5*y**2 + t*y**2 - 66 - 5*y**2 with respect to y. 6*y + 1 Let u = -5495 - -5497. Let c(q) be the first derivative...
{ "pile_set_name": "DM Mathematics" }
et l = -11 - -16. Let s = 233.4 - 233. Which is the smallest value? (a) f (b) s (c) l a Suppose -k = -6*k + 15. Let i be (-11)/(-3) + (-16)/24 - -1. Let n be (-4)/14 + (i - (-552)/(-126)). What is the second biggest value in -2/17, k, n? -2/17 Let v = -8 - -7.7. Let h = 0.3 + v. Let d = 1205/3 - 401. What is the sec...
{ "pile_set_name": "DM Mathematics" }
+ 47925 Simplify (sqrt(150)/sqrt(3))/sqrt(10) - (1 + sqrt(405)). -8*sqrt(5) - 1 Simplify sqrt(136)/(sqrt(8)*-1)*4. -4*sqrt(17) Simplify (-1 + sqrt(475) + 5)**2. 40*sqrt(19) + 491 Simplify -5 + 2*(sqrt(17) + sqrt(17) + 1 + sqrt(68)). -3 + 8*sqrt(17) Simplify 2*-2*sqrt(475) + sqrt(475) + 5. -15*sqrt(19) + 5 Simplify (sq...
{ "pile_set_name": "DM Mathematics" }
l(j) = -7*j - 25. Let m(s) = 4*l(s) - 5*p(s). Let n be m(-11). Let i = n - -55. Solve 5*v = i*h + 9, 7*h - 25 = -5*v + 2*h for v. 3 Let t = -1991 + 2000. Solve 0 = 3*d - 3*o + t, 5*o - 4*o - 15 = 5*d for d. -3 Suppose 2*j = 3*s + 10, -j + 77*s + 5 = 75*s. Solve 4*d - 2 = -j*r, -3 = 3*r - 2*d - 13 for r. 2 Let i be (12...
{ "pile_set_name": "DM Mathematics" }
3 w and 1 j. 8/105 Four letters picked without replacement from bebbbebbbeebebebbbb. Give prob of picking 4 b. 715/3876 Two letters picked without replacement from {d: 1, z: 2, r: 1, n: 1, p: 1, o: 1}. Give prob of picking 1 z and 1 r. 2/21 Calculate prob of picking 2 f and 1 l when three letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {l: 3, p: 1, c: 5, q: 6}. 4/91 Calculate prob of picking 2 t when two letters picked without replacement from tttttttttt. 1 What is prob of picking 2 y, 1 d, and 1 r when four letters picked without replacement from rrrrrvdyrrrdyr? 18/1001 Calculate prob of picking 3 f and 1 a when four ...
{ "pile_set_name": "DM Mathematics" }
= -3057*o - 2. What is v(g(l))? 9345249*l**2 + 12228*l + 4 Let z(d) = 10*d - 4*d - 4*d - 7*d. Let c(i) = -3*i. Give c(z(t)). 15*t Let a(z) be the second derivative of -3*z + 0*z**3 + 0 + 1/12*z**4 + 0*z**2. Let p(m) = -m. Determine a(p(l)). l**2 Let t(j) = 518*j**2. Let y(g) = -2*g**2. What is t(y(k))? 2072*k**4 Let b(...
{ "pile_set_name": "DM Mathematics" }
- 12*k + 2 Find the third derivative of -36048*d*r**3 - 222*d*r**2 - 33*d*r + 91*r**6 + 368*r**2 + 2 wrt r. -216288*d + 10920*r**3 What is the second derivative of 111384*q*x**2 + 5*q*x - 79*x**2 + 23117*x + 5 wrt x? 222768*q - 158 What is the third derivative of 42*a*p**4 - 32401*a*p**3 + 2*a*p**2 - a*p + 8*a + 8*p**...
{ "pile_set_name": "DM Mathematics" }
umber? True Is 5216303 composite? False Is 10943909 a composite number? False Is 29214061 a prime number? True Is 83256491 a prime number? False Is 70816903 a composite number? False Is 31861567 a prime number? True Is 181464701 composite? True Is 29472137 a prime number? True Is 186453797 a composite number? False Is ...
{ "pile_set_name": "DM Mathematics" }
the second derivative of -64459469*x**2 + 63064*x - 156 wrt x. -128918938 Differentiate -185060408*v**4 + 266415849 wrt v. -740241632*v**3 What is the second derivative of g*r**3 + 365567*g*r**2*y**2 - g*r*y + 2*g*y + 90*r - 1386*y**2 wrt r? 6*g*r + 731134*g*y**2 Differentiate 204475969*p - 66529373 with respect to p....
{ "pile_set_name": "DM Mathematics" }
27 Calculate (-65)/(14170/4142)*(-4)/10. 38/5 What is the value of ((-3406)/56199)/(6/22)? -2/9 (-54)/21*553/79 -18 ((-1*4)/(-48))/(26325/(-36450)) -3/26 (3888/(-9216))/(90/960) -9/2 What is 28482/1212*(-8)/(-94)*((-234)/28)/(-9)? 13/7 What is (4/19)/((16182/49476)/87)? 56 Evaluate (17628/(-2106))/(-113)*(-3)/10. -1/45...
{ "pile_set_name": "DM Mathematics" }
derivative of -9 - 1/3*s**2 + 0*s + 1/9*s**b. Determine p, given that x(p) = 0. 0, 2 Let l be 5/((-5)/3) + 5. Suppose -p = -l, -2*k = -0*k + 2*p - 12. Factor 4*b - 4*b**3 + k*b**5 - 5*b**3 + b**3. 4*b*(b - 1)**2*(b + 1)**2 Let m = 1044 + -1044. Let f(n) be the first derivative of -4 - n**3 + 3/5*n**5 + 3/4*n**4 + 0*n +...
{ "pile_set_name": "DM Mathematics" }
1)/3*((-84)/(-56))/((-1)/(-2))? -11 Evaluate ((-6)/(-32))/(12/4704*42). 7/4 Calculate (-42)/63*(1188/600)/33. -1/25 What is (-9)/((-20295)/22)*5*4/(-4)? -2/41 Calculate 40/2100*21*(-5)/11. -2/11 What is the value of ((-81)/(-18))/((-3)/(-8))? 12 Evaluate (135/(-1755))/(4/8). -2/13 What is the value of (-5*1*18/(-18))/(...
{ "pile_set_name": "DM Mathematics" }
)) + -70 + 91 + 125? 132 Evaluate -44 + (-77 - -76) + 14. -31 Calculate -1 + -28 + 1 - (2271 + -2364). 65 Evaluate -44 + (195 - -14) + -89. 76 What is the value of (17 - 1) + -68 + 67 + 9? 24 What is the value of 39 + 6 - (1 - -27)? 17 Evaluate 28 - (-12 + (-10 - -29)). 21 What is -1840 - -1874 - (-19 - -2)? 51 What is...
{ "pile_set_name": "DM Mathematics" }
lowest common multiple of 420 and 3180? 22260 Calculate the common denominator of -19/10 and -193/3450. 3450 What is the common denominator of -19/20 and 103/860? 860 What is the smallest common multiple of 52 and 2? 52 Calculate the smallest common multiple of 927 and 309. 927 What is the least common multiple of 70 ...
{ "pile_set_name": "DM Mathematics" }
2/(-8))*-6. Let t(c) = -12*c - 2. What is the units digit of t(x)? 4 Let g be ((-80)/(-12))/(-5)*-21. Suppose -o + g = -28. What is the tens digit of o? 5 Suppose -4*p + 3*p = -1. Suppose 2*n + p - 5 = 0, 5*s - 1499 = -2*n. What is the tens digit of s? 9 Let r be (0/1)/(4 + -2). Suppose -5*g + 5*m + 20 = r, 0 = 5*m + 1...
{ "pile_set_name": "DM Mathematics" }
etween 11:25 AM and 12:16 PM? 51 How many minutes are there between 8:29 PM and 11:16 PM? 167 What is 628 minutes before 2:27 AM? 3:59 PM How many minutes are there between 11:43 AM and 1:51 PM? 128 How many minutes are there between 1:02 PM and 5:12 PM? 250 How many minutes are there between 8:40 PM and 6:35 AM? 595 H...
{ "pile_set_name": "DM Mathematics" }
factor of 1427? False Is 15 a factor of 375? True Is 2730 a multiple of 21? True Does 5 divide 544? False Does 27 divide 90396? True Is 6751 a multiple of 38? False Is 23 a factor of 1104? True Is 101 a multiple of 3? False Is 5524 a multiple of 6? False Does 125 divide 100899? False Does 249 divide 124500? True Is 26 ...
{ "pile_set_name": "DM Mathematics" }
3*i**c - i. Is 28 a factor of q(4)? False Let b(n) = -16 + 10 + n + 3. Suppose 0 = 3*j - 3*m - 36, -2*j - 5*m - 40 = -5*j. Does 4 divide b(j)? False Does 60 divide 490/147*(0 + 0 + 18)? True Let a(k) = 223*k - 46. Is 20 a factor of a(2)? True Let q = 128 - 61. Let o = 98 - q. Does 7 divide o? False Let n(w) = -w**3 + 2...
{ "pile_set_name": "DM Mathematics" }
, -12, -2/9, -130, 7/4? -6/31 What is the sixth smallest value in -3, -0.2, 2/9, 30, 51.4, -0.4? 51.4 What is the smallest value in -0.3, -59, -6424? -6424 What is the smallest value in 1, 1.6166, 4, 0.03, -3? -3 Which is the second biggest value? (a) 1320322.8 (b) -4/5 (c) 4/5 c Which is the third biggest value? (...
{ "pile_set_name": "DM Mathematics" }
zzgggaazzgggg. What is prob of sequence aaag? 4/1615 Three letters picked without replacement from {z: 1, k: 1, g: 4, b: 1, d: 1, a: 4}. Give prob of sequence dak. 1/330 What is prob of sequence cc when two letters picked without replacement from wcwwcwccoc? 2/9 What is prob of sequence fiwy when four letters picked wi...
{ "pile_set_name": "DM Mathematics" }
olve -5*y - 171*w = -580*w - 354, 11*w + 21 = -2*y - 15*w + 27*w for y. -11 Solve 0 = -6*i + 2*a + 5397 - 5343, 3*a + 81 = i for i. 0 Solve n + 5*k = -0*k + 59, 0*n = -12*n - 2*k + 102 + 432 for n. 44 Solve u + 2935*i - 2940*i - 32 = 0, 3*u = 5*i + 46 for u. 7 Solve 4*d + l + 42 = 0, -2*d + 2*l + 49 - 15 = 0 for d. -5 ...
{ "pile_set_name": "DM Mathematics" }
= -b + 9. What is f(2)? 7 Let s(k) = -k**3 + 5*k + 4. Give s(-3). 16 Let v(o) = o + 31. Calculate v(-14). 17 Let s(v) = v**2 + 9*v + 20. Determine s(-5). 0 Let c(y) = 8*y**2 - 54*y + 13. Determine c(7). 27 Let q(l) = -3*l**3 - 16*l**2 + 3*l + 1. Calculate q(-5). -39 Let r(v) = -v**2 - 10*v + 8. Calculate r(-10). 8 Let ...
{ "pile_set_name": "DM Mathematics" }
- 7*q - 9. Let n be ((-4)/6)/(6/54). Calculate c(n). -3 Suppose -4*i = 4*v, -2*i - v - 2 = -0. Let f(k) = -9050 + 4427 - 7*k**2 + 4624 - k. Calculate f(i). -25 Suppose -10*y + 64 + 16 = 0. Let q be (5 - 42/y)*-28. Let z(b) be the first derivative of b**2/2 - 15*b - 1. What is z(q)? -8 Let t(y) = -20600 - 31*y + 20513 ...
{ "pile_set_name": "DM Mathematics" }
at is j? 0, 1 Factor 4*o**2 + 4*o + o**2 - o**2 + o**3 + 2 + o. (o + 1)**2*(o + 2) Let m be (2 + -1 - 1)/1. Let n be 2*1 - m/(-3). Suppose 2*k**4 - k**5 + 8*k**n + 21*k**3 - 7*k - 6*k**5 + 3*k = 0. What is k? -1, 0, 2/7, 2 Let o(u) be the third derivative of -u**6/300 - 2*u**5/75 - u**4/12 - 2*u**3/15 + 7*u**2. Let o(i...
{ "pile_set_name": "DM Mathematics" }
(2/(-32)). -4 What is the value of (-1)/(((-14)/6)/(-7))? -3 Calculate 3*1/12*(-12)/15. -1/5 Evaluate (2/(-1))/((-28)/21). 3/2 (0*(-7)/(-56))/4 0 Evaluate ((0/(-3))/(18/6))/(-5). 0 What is the value of (-35)/(-140)*(-9)/(-3)? 3/4 What is the value of (-4)/(-2)*(-1)/1? -2 What is (18/63)/(8/14)? 1/2 What is the value of...
{ "pile_set_name": "DM Mathematics" }
alculate prob of sequence ptt when three letters picked without replacement from {t: 2, l: 3, p: 7}. 7/660 Calculate prob of sequence ouou when four letters picked without replacement from uuoouo. 1/10 Four letters picked without replacement from yyyyyxyxyyyy. What is prob of sequence xyxy? 1/66 Four letters picked wit...
{ "pile_set_name": "DM Mathematics" }
r. 4 Let j be (36/(-30))/((-12)/(-40)). Let t be (j/24 - 2/(-3))*0. Solve -15 = -t*h + 5*h for h. -3 Suppose -2*w + 3*w = -3*g + 29, 4*g + w = 41. Solve 0 = 13*l - g*l + 6 for l. -6 Let y(z) = -z**3 - 31*z**2 + 4*z + 164. Let d be y(-31). Solve d*u + 15 = 45*u for u. 3 Let g(k) = -k**2 + 1. Let a be g(1). Suppose 3*x ...
{ "pile_set_name": "DM Mathematics" }
075525 to the nearest integer? 182 What is the third root of 762255 to the nearest integer? 91 What is 17698133 to the power of 1/2, to the nearest integer? 4207 What is the square root of 693372 to the nearest integer? 833 What is the cube root of 5477298 to the nearest integer? 176 What is 2132801 to the power of 1/2...
{ "pile_set_name": "DM Mathematics" }
-49a4? 49a9 In base 10, what is -384 + 20? -364 In base 3, what is 11222220 + -2120? 11220100 In base 2, what is -111001110100011 - 0? -111001110100011 In base 8, what is -3 - -1200? 1175 In base 4, what is -2031231 + 1210? -2030021 In base 3, what is 2001120222002 - 12? 2001120221220 In base 6, what is -2445512 - -3? ...
{ "pile_set_name": "DM Mathematics" }
. 4 Suppose -5*p + 1 + 9 = 0. Let d = p + 1. Let g(s) = -s. Determine g(d). -3 Suppose -3*m + 4*m = -d - 6, 4*d = 3*m - 10. Let z(x) = -x**3 - 5*x**2 - 6*x - 3. Give z(d). 5 Let m(s) = 14*s. Let k be 72/56 + (-4)/14. Determine m(k). 14 Let g be (-13)/(-4) - (-3)/(-12). Let p(h) = 5*h**2 + 15*h + 8. Let u(n) = -2*n**2 -...
{ "pile_set_name": "DM Mathematics" }
ve. v**(3/161) Simplify ((h*(h*h/(h*h**0))/h)/(h/(h*h**(-1/9))))**(-16) assuming h is positive. h**(-128/9) Simplify q**8/q*q*q/((q/(q/(q**(1/7)/q*q)))/q)*q*q assuming q is positive. q**(83/7) Simplify (r/r**(2/5))**(-1) assuming r is positive. r**(-3/5) Simplify u**5/(u/(u**(-1/2)/u)*u)*u*u**(-3/2)*u**(-4) assuming u ...
{ "pile_set_name": "DM Mathematics" }
t h = s + -0.01026. Let i = -0.23 - h. What is i rounded to three dps? 0.001 Let w(o) = 1813*o**2 + o - 4. Let t be w(-4). What is t rounded to the nearest ten thousand? 30000 Suppose 3*h = -3*v + 6, 5*h = -4*v - 6 + 15. Suppose -2 - v = -z. Suppose 20606 = z*m + 54506. Round m to the nearest one thousand. -11000 Let h...
{ "pile_set_name": "DM Mathematics" }
t x be (-88332)/(-54) - (-6)/27. Suppose -h + x = 3*h. Is h prime? True Let j(f) = f**3 - 4*f**2 - 5*f + 6. Let q be j(5). Let v(s) = -s**2 - 4*s + 1. Let k(l) = l**2 - l. Let t(c) = 3*k(c) - v(c). Is t(q) a composite number? False Suppose -2*p - 3129 = -16171. Is p prime? True Let t(d) = -52*d**3 - d**2 + 2*d - 1. Let...
{ "pile_set_name": "DM Mathematics" }
form f*x + t + w*x**2 and give w. 16 Express -4*y**2 + 3172*y - 3370*y + 2*y**2 in the form l*y + i*y**2 + w and give i. -2 Rearrange 55 + 4334*u - 80 + 25 + 1188*u to a*u + s and give a. 5522 Express 90*o**3 + 61*o**3 - 24*o**3 + (12*o**2 + 6 - 6)*(o + o - o) as r*o**3 + p*o**2 + g + t*o and give r. 139 Rearrange -209...
{ "pile_set_name": "DM Mathematics" }
1)**2 Let 4*d**4/5 - 984*d**3/5 + 11396*d**2/5 - 38544*d/5 + 39312/5 = 0. What is d? 2, 3, 7, 234 Find c, given that c**2/2 - 13697*c/2 = 0. 0, 13697 Factor z**5 + 144*z**4 - 299*z**3 - 1026*z**2 - 584*z. z*(z - 4)*(z + 1)**2*(z + 146) Suppose -s**4/5 - 442*s**3/5 + 1356*s**2 - 6830*s + 11425 = 0. Calculate s. -457, 5 ...
{ "pile_set_name": "DM Mathematics" }
What is the third biggest value in 0.2, p, v, -111? v Let m be 1/9*-2 + 0. Let w = 102 + -104. Let t be w/(-18)*(6 + (-15)/10). Which is the biggest value? (a) m (b) t (c) -0.2 b Let u = -17.964 - -17.564. What is the smallest value in 80, 1, u? u Let x = 12.21 + -12.3. What is the third smallest value in 23, x, 2,...
{ "pile_set_name": "DM Mathematics" }
170068416 What is the least common multiple of 14 and 116023? 1624322 Find the common denominator of 29/26943 and 61/4200542. 88211382 Find the common denominator of -143/44808 and -107/48294. 360659592 Find the common denominator of -17/21105552 and -151/12. 21105552 What is the least common multiple of 113256 and 93...
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from rggjrjgjjgrjjj? 2/13 Four letters picked without replacement from xxxxzxxxzmxxzbzz. Give prob of sequence xxbm. 3/1820 Calculate prob of sequence ys when two letters picked without replacement from hdydyhspdsdhhhdddd. 2/153 What is prob of sequence vlvv when four letters picked wi...
{ "pile_set_name": "DM Mathematics" }
, 101 What are the prime factors of 18873? 3, 233 What are the prime factors of 32737? 19, 1723 What are the prime factors of 739? 739 List the prime factors of 2876. 2, 719 List the prime factors of 1199. 11, 109 List the prime factors of 898. 2, 449 What are the prime factors of 30056? 2, 13, 17 What are the prime fa...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -2 - 111*i + 71*i + 109*i + 2. 69*i Collect the terms in -22*k**3 + 25*k**3 + 0*k**3 - 18*k**3 - 6*k**3. -21*k**3 Collect the terms in 20*a + 15*a - 31*a - 21*a. -17*a Collect the terms in -806662 - 4*r**3 + 806155 + 2*r**3. -2*r**3 - 507 Collect the terms in -156*v**2 - 1 + 2 + 3 + 1732*v**2. 157...
{ "pile_set_name": "DM Mathematics" }
in minutes? 1216136.016 What is sixteen sevenths of a week in days? 16 Convert 2643.062 nanograms to kilograms. 0.000000002643062 What is 5861.417 meters in micrometers? 5861417000 What is five eighths of a millennium in years? 625 How many nanograms are there in 330.648kg? 330648000000000 How many nanometers are ther...
{ "pile_set_name": "DM Mathematics" }
*2 Let l(w) = w**3 + w**2 + w. Let y(k) = 7*k**3 + 5*k**2 + 5*k. Suppose -3*q - v + 12 = -4*v, -2*q - 17 = 3*v. Give q*y(m) + 5*l(m). -2*m**3 Let a(j) = -7*j**2 + j + 4. Let z(p) = -p + 441 + 440 - 884 + 6*p**2. Determine -4*a(h) - 5*z(h). -2*h**2 + h - 1 Let n(i) = -i + 1. Let c(s) = 3*s - 2. Let r(v) = 13*v - 8. Let ...
{ "pile_set_name": "DM Mathematics" }
-ec1 In base 6, what is 3513 + -220122? -212205 In base 14, what is -3 + 1bd4298a? 1bd42987 In base 9, what is 10567071 + -2? 10567068 In base 9, what is -2 - -2053265? 2053263 In base 9, what is 738 + -1128623? -1127774 In base 10, what is 0 - -54321719? 54321719 In base 7, what is -326420401 + 0? -326420401 In base 1...
{ "pile_set_name": "DM Mathematics" }
factors of 7239. 3, 19, 127 List the prime factors of 147. 3, 7 List the prime factors of 72312. 2, 3, 23, 131 What are the prime factors of 17918? 2, 17, 31 What are the prime factors of 230? 2, 5, 23 What are the prime factors of 49239? 3, 5471 What are the prime factors of 3448? 2, 431 List the prime factors of 430...
{ "pile_set_name": "DM Mathematics" }
ulate the greatest common factor of w and y. 13 Let g(w) = w**3 + 9*w**2 + 7*w - 3. Let v be -1 + 1/(4/20). Let z(n) = -n - 2. Let a be z(v). Let q be g(a). What is the greatest common divisor of q and 21? 21 Let q(u) = -u + 10. Let h be q(7). Suppose h*a - 1 = 8. Let s be a*23/3 - -3. Calculate the highest common fact...
{ "pile_set_name": "DM Mathematics" }
mon multiple of 767 and 2006. 26078 What is the common denominator of -89/45 and 103/30? 90 What is the least common multiple of 87 and 15? 435 Calculate the smallest common multiple of 264 and 76. 5016 Calculate the common denominator of 56/45 and -37/10. 90 Calculate the smallest common multiple of 8 and 6901. 55208 ...
{ "pile_set_name": "DM Mathematics" }
k be 20/(-15) - 7/(-3). List the prime factors of 4774/84 - k/(-6). 3, 19 Suppose 0 = 2*h + 10*h - 3216. List the prime factors of h. 2, 67 Suppose -512 = 285*m - 286*m. What are the prime factors of m? 2 Suppose 3577 = 2*v - z, -v + 8*z - 9*z = -1796. Suppose 8*w = v - 287. List the prime factors of w. 2, 47 Let v(o)...
{ "pile_set_name": "DM Mathematics" }
hat is 77 minutes after 10:14 AM? 11:31 AM How many minutes are there between 8:34 PM and 3:58 AM? 444 What is 4 minutes before 1:16 AM? 1:12 AM What is 371 minutes before 12:34 PM? 6:23 AM What is 54 minutes before 6:08 AM? 5:14 AM What is 107 minutes before 10:02 AM? 8:15 AM What is 332 minutes before 3:59 AM? 10:27 ...
{ "pile_set_name": "DM Mathematics" }
What is w(1)? -2 Suppose 13*r - 47961 = -48195. Let c(p) = p**3 + 18*p**2 + 5*p + 94. What is c(r)? 4 Suppose 59*f - 77*f = 30 - 120. Let v(t) = -2*t + 1 + 2*t**2 + 2*t - 2*t - 6*t. Give v(f). 11 Let r(i) = -26*i**3 + 2*i + 2*i**2 - 4*i**2 - 3 + 58*i**3 - 30*i**3. Determine r(3). 39 Suppose 22*q + 31*q = -318. Let z(h...
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when y is divided by 22? 21 Suppose 6*k + 12 = 2*k. What is the remainder when ((-2)/4)/((-2)/92) is divided by 0 - 9/k - -10? 10 Let p(n) = 125*n**2 + 2*n + 1. Calculate the remainder when p(-1) is divided by (48/30)/(1*3/60). 28 Let l(q) = -2 - 4*q + 0*q - 3. Let m be l(-4). Let a = m - -12. Calc...
{ "pile_set_name": "DM Mathematics" }
18 = 0, 0 = 4*y + 5*u - 38. Let z be (-594)/24 + (-3)/y. Round z to the nearest ten. -30 Let q be 4/(-3) - (-863220)/90. Round q to the nearest one thousand. 10000 Let g = 171 + -170.9999552. Round g to six decimal places. 0.000045 Let b = 41 - 18.6. Round b to the nearest integer. 22 Let m = 0.028 - 0.086. Let w = m -...
{ "pile_set_name": "DM Mathematics" }