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a be ((-3)/(-2))/(6/20). Let c be (-1 + (-2 - -1))*-2. Suppose -a = -c*v + 23. What is the units digit of v? 7 Suppose -9*h = -4*h - 100. Suppose -b + 5*f = 8, -h = 5*f - 5. What is the units digit of b/(-2) - 1/(-2)? 2 Suppose 0 = -2*z - 3*z + 4*l - 38, 4*l = 3*z + 26. Let w be (z/(-10))/(4/20). Suppose 4 = 4*i + 3*x,...
{ "pile_set_name": "DM Mathematics" }
ve 10*d = 78*d + 4*d - 360 for d. 5 Solve -38*p + 63 = -6*p - 289 for p. 11 Solve -310*g - 164*g + 4340 = -164*g for g. 14 Solve -351*c + 362*c + 88 = 0 for c. -8 Solve -29 = -28*j + 27 - 84 for j. -1 Solve 14*a = 3*a + 47 - 3 for a. 4 Solve -36*k = -28217 + 27893 for k. 9 Solve -11*u = 537 - 614 for u. 7 Solve 230377 ...
{ "pile_set_name": "DM Mathematics" }
- 1) + 6/21. Let l be (2 - (1 - 2)) + 2. Which is the smallest value? (a) d (b) l (c) g a Let g be 9/18 - (-77)/(-2). Let u = -58431/5 - -11649. Let h = u - g. Which is the second smallest value? (a) 0 (b) h (c) 4 b Let n = 0 + -0.1. Let p be (-4)/(-63) - (-18)/81. Which is the biggest value? (a) -1/4 (b) p (c...
{ "pile_set_name": "DM Mathematics" }
5 + 1)*(-2 + 0 + 4) + (0 - 16 + 3)*(5 - 2 - 2))*(73*k - 1674 + 1674) as n + t*k and give n. 0 Express -19959*o + 6762*o + 6751*o in the form s + x*o and give x. -6446 Rearrange -110*i - 11551*i**2 + 11555*i**2 + 3*i to a*i + p*i**2 + t and give a. -107 Express -26*h**4 + 67*h**4 - h - 8*h - 4*h**2 - h**3 + 3*h**3 - 2 ...
{ "pile_set_name": "DM Mathematics" }
et r(j) = 3*j. Let z(t) = c(t) + 2*r(t). Let a(o) be the third derivative of o**5/60 - o**2. Calculate a(z(n)). 25*n**2 Let g(n) = -18*n. Let f(d) = -3*d - 7. Let b(p) = 2*p + 4. Let h = 14 - 10. Let o(y) = h*f(y) + 7*b(y). Give g(o(k)). -36*k Let z(s) = s**2 - 1. Let o be z(1). Let c(q) = o*q - q + 2*q. Let w(t) = -3*...
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 u, 1 i, and 1 m. 63/1615 What is prob of picking 1 o and 3 q when four letters picked without replacement from qfqoqqqqoqqqoqqffq? 11/51 What is prob of picking 1 y, 1 q, and 1 s when three letters picked without replacement from syyqyqqyyysyqsqqy? 18/85 What is prob of picking 3 m when three letters...
{ "pile_set_name": "DM Mathematics" }
3 Differentiate 836588*q**3 - 8*q - 26689075. 2509764*q**2 - 8 What is the third derivative of -14571851*s**3*w - 33*s**2 - 5416*s*w - 2 wrt s? -87431106*w Find the second derivative of -14580262*c**2 + 6408157*c wrt c. -29160524 Find the second derivative of -21*s**4 + 9009*s**3 - 3*s**2 - 16*s + 566238. -252*s**2 + 5...
{ "pile_set_name": "DM Mathematics" }
c*z + k*z**4 + v and give k. 11 Express (4 - 1 + 4)*(5 - 2 - 1)*(6 - 4 - 4)*(-1245*z - 559*z + 51*z - 140*z) in the form y*z + t and give y. 53004 Express (l**2 - 15*l**2 + 78854 - 78721)*(-3*l**2 + l**2 - 3*l**2) as s*l**4 + y*l**2 + g + w*l**3 + f*l and give f. 0 Express (-2*f**3 + 5*f**3 - f**3)*(-3*f + 3*f + 4*f + ...
{ "pile_set_name": "DM Mathematics" }
M? 127 What is 661 minutes after 1:17 PM? 12:18 AM How many minutes are there between 8:01 AM and 4:23 PM? 502 How many minutes are there between 7:06 PM and 2:45 AM? 459 How many minutes are there between 1:08 AM and 2:51 AM? 103 How many minutes are there between 3:13 AM and 11:38 AM? 505 How many minutes are there b...
{ "pile_set_name": "DM Mathematics" }
Give prob of sequence oen. 1/60 Calculate prob of sequence ewe when three letters picked without replacement from wwewewwwwew. 8/165 What is prob of sequence zm when two letters picked without replacement from zuuzuzzuuuuumuumzmm? 10/171 Two letters picked without replacement from ffvv. What is prob of sequence fv? 1/3...
{ "pile_set_name": "DM Mathematics" }
*h + 3 + 9 = -c. Solve -h*w + 10 = -0*w for w. 5 Suppose -1017 = -4*d - b, 5*d - 41*b = -36*b + 1290. Suppose -12*q = d - 723. Solve -7*l = 6*l - q for l. 3 Let f(z) = 55*z + 941. Let l be f(-17). Solve -l*s + 16*s = 50 for s. 5 Suppose 0 = -2*b + 4*o + 28, 4*o = 2 + 2. Let t be (-76 - -98) + -7 + 0. Solve -t = b*f - 1...
{ "pile_set_name": "DM Mathematics" }
mallest value in y, 0.3, -1/2? -1/2 Let v = -0.01 - 2.99. Let t be (-6)/(-4)*(-12)/(-99). Which is the second smallest value? (a) t (b) 1 (c) v a Let m = 11 + -6. Let o = -4.9 + m. What is the biggest value in -2, o, 2? 2 Let f = -0.01 - 3.99. Let i be -3*((-55)/15 + 4). Which is the third smallest value? (a) f (b...
{ "pile_set_name": "DM Mathematics" }
+ a + 2*a + 9*a. 12*a Collect the terms in -9*i + 8*i**3 + 12*i + 7*i - 11*i**3. -3*i**3 + 10*i Collect the terms in 57*a - 6*a**2 - 158*a + 49*a + 52*a. -6*a**2 Collect the terms in -2*k**2 + 2*k**2 - 8*k**2. -8*k**2 Collect the terms in 51*m**2 - 29*m**2 - 26*m**2. -4*m**2 Collect the terms in 6 - 6*c**2 - 2*c**2 - ...
{ "pile_set_name": "DM Mathematics" }
210 = p*c. Suppose -v + 59 = -88. What is the remainder when v is divided by c? 12 Let m(x) = -1351*x + 4079. Suppose 3*n - 3*u - 21 - 840 = 0, 2*n - 554 = -3*u. What is the remainder when n is divided by m(3)? 23 Suppose 4*n + u + 0*u = 0, -5*n = -2*u. Suppose n = 7*r + 7 + 14. What is the remainder when (r - (-2)/1)/...
{ "pile_set_name": "DM Mathematics" }
? 9760135.84 Product of 0.1417 and 21931.5. 3107.69355 -847257572 * -5 4236287860 What is the product of 0.1 and 0.7299558? 0.07299558 Product of -1.3 and 0.182371. -0.2370823 520 * 6.89492 3585.3584 Product of 1665 and 1548.3. 2577919.5 What is 2699 times 2.5349? 6841.6951 Work out -65632065 * -0.4. 26252826 401048.29...
{ "pile_set_name": "DM Mathematics" }
e. a**(243/8) Simplify ((i*i**(-8/3))/(i**(3/7)/i))/(i**29/i**(-1/9)) assuming i is positive. i**(-1903/63) Simplify (w**(-5/6))**42*(w/w**6)**(2/11) assuming w is positive. w**(-395/11) Simplify ((r*r/(r**(-14/9)*r))**(-2/17))**(-38) assuming r is positive. r**(1748/153) Simplify (((n*n**(-1/4)*n)**(-4/25))**26)**(-13...
{ "pile_set_name": "DM Mathematics" }
nteger? 12 What is the seventh root of 2638 to the nearest integer? 3 What is 71582 to the power of 1/3, to the nearest integer? 42 What is the cube root of 33339 to the nearest integer? 32 What is 11194 to the power of 1/4, to the nearest integer? 10 What is the square root of 33845 to the nearest integer? 184 What is...
{ "pile_set_name": "DM Mathematics" }
In base 14, what is 4 - -a41? a45 In base 8, what is -30 - 7? -37 In base 16, what is 1a7 - -4? 1ab In base 8, what is -3 - -1163? 1160 In base 9, what is 387 - -5? 403 In base 7, what is 3 - 3464? -3461 In base 3, what is -2 - -12212? 12210 In base 4, what is 10133101 - 11? 10133030 In base 10, what is -18 - 0? -18 In...
{ "pile_set_name": "DM Mathematics" }
15 Calculate prob of sequence aai when three letters picked without replacement from {a: 9, i: 3}. 9/55 Two letters picked without replacement from axaxxalaaaaaxlaa. What is prob of sequence xx? 1/20 Calculate prob of sequence kpw when three letters picked without replacement from nwukxxp. 1/210 What is prob of sequenc...
{ "pile_set_name": "DM Mathematics" }
pose 3*o - 184 = -2*i + 348, 3*o = -5*i + 529. What is the hundreds digit of o? 1 Let l = -28 - -1. Let i = 0 - l. What is the units digit of i? 7 Let x(y) = -y**3 + 5*y**2 - 2*y - 4. Suppose -r - 2*r = -12. What is the units digit of x(r)? 4 Let j(g) = -7*g + 3. Let d(h) = -11*h + 4. Let x(w) = 5*d(w) - 8*j(w). Let u ...
{ "pile_set_name": "DM Mathematics" }
ppose -4*s - 5 = -5*s. Solve 15 = 5*a - s for a. 4 Let t = 14 - 14. Solve t = y + y + 10 for y. -5 Suppose z = -0 + 3. Suppose 5*g + 27 = -j + 3*j, 3*j - 27 = 3*g. Solve -j = z*i - i for i. -3 Let w be 4/14 - 12/42. Let x(u) = 2*u**2 - 2*u - 1. Let m be x(-1). Solve 2*d - m*d = w for d. 0 Suppose 4*i + 0*i - 52 = 4*j, ...
{ "pile_set_name": "DM Mathematics" }
or of 3324943? False Is 1011701484 a multiple of 9? True Is 59385696 a multiple of 488? True Is 358695324 a multiple of 2276? True Does 3 divide 1679738? False Is 142 a factor of 30677232? False Is 57 a factor of 1689594741? True Is 168435919 a multiple of 17? False Is 66 a factor of 86658? True Is 124035261 a multiple...
{ "pile_set_name": "DM Mathematics" }
s are there between 9:09 PM and 8:39 AM? 690 How many minutes are there between 10:34 PM and 1:07 AM? 153 What is 665 minutes after 9:55 PM? 9:00 AM What is 586 minutes before 6:45 AM? 8:59 PM How many minutes are there between 3:01 AM and 3:40 AM? 39 How many minutes are there between 2:51 AM and 2:37 PM? 706 What is ...
{ "pile_set_name": "DM Mathematics" }
et d(u) = -u**2 + u + 2. Let t be d(2). Suppose r - 5 = t, 4*r - 16 = -4*o + 3*o. Let h(l) = 14*l**3 + 8*l**3 - 23*l**3 - 3*l**2 + 5 + 6*l. Calculate h(o). -3 Let g(x) = -x**3 - 5*x**2 - 5*x - 1. Suppose -14 - 34 = -4*b. Suppose b = -k + 8. Give g(k). 3 Let p(h) = 0 + 1 + 1 - 2*h + 3*h. Let w(z) = 3*z + 5. Let u(b) = 5...
{ "pile_set_name": "DM Mathematics" }
and 1683? 153 What is the greatest common factor of 676 and 351? 13 Calculate the greatest common factor of 267 and 356. 89 What is the highest common factor of 154 and 176? 22 Calculate the highest common factor of 6150 and 450. 150 Calculate the greatest common factor of 22 and 1408. 22 Calculate the highest common ...
{ "pile_set_name": "DM Mathematics" }
. Solve 3*x = g*x for x. 0 Suppose -o = -0*o + 3*u - 32, 0 = 3*o + 3*u - 72. Suppose -o = 4*c - 9*c. Suppose 0 = 2*p - c*p. Solve -4*m + 0*m = p for m. 0 Suppose -4*r = -2*d - 24 - 2, 4*r = -4*d + 8. Suppose -15 = -r*h - 4*j + 5, -3*j - 4 = -h. Let p = 2216 - 2214. Solve 0 = h*l - p - 2 for l. 1 Let m = -77 - -145. Let...
{ "pile_set_name": "DM Mathematics" }
t d(b) = 7*p(b) - 4*s(b). Give d(h). 18 Let r(x) be the second derivative of x**4/4 - x + 608. Determine r(5). 75 Let o(y) = -2*y**2 - 9*y - 9. Let z be ((-4 - (-84)/20) + (-72)/(-40))/(-2). Give o(z). -2 Let u(b) = -7*b**3 - 11*b**2 - 3*b - 3. Let z(j) = j**3 + j**2. Let f(w) = -u(w) - 6*z(w). Let m be (85/51)/(3/225)...
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of -331030*z**4 - 120*z**2 - z - 22417 wrt z. -7944720*z What is the third derivative of 32022251*w*y**4 - 2*w*y**2 - 7207337*w*y wrt y? 768534024*w*y What is the first derivative of -11*i*l + 24733315*i + 156053*l wrt l? -11*i + 156053 Find the second derivative of 3842*g**4 - 198*g**3 - 44*g*...
{ "pile_set_name": "DM Mathematics" }
+ 163, 0*g = 2*k - 2*g - 76. Calculate the remainder when 104 is divided by k. 34 Let w be 0 + (-12)/3*-1. Suppose 4*q - 4 = -5*l + 3*q, 5*l = -w*q + 16. Suppose -2*j + l*j + 48 = 0. What is the remainder when j is divided by 9? 6 Let t(v) = -v**3 - 13*v**2 + v + 17. Let c be t(-13). Calculate the remainder when (c - (...
{ "pile_set_name": "DM Mathematics" }
implify ((((k/(k/(k**(-8/3)/k)))/k*k*k**(-13))/((((k**3*k)/k)/k)/k**(-2/9)))**5)**44 assuming k is positive. k**(-37400/9) Simplify ((g**(-2/19)*g)**(1/23)*(g/g**0*g*g)**37)**(3/19) assuming g is positive. g**(145572/8303) Simplify (((h*h/h**(-1/3)*h)/h)**(4/21)*(h/(h*h/h**1))**(-17))/(((h/h**(1/4))/h*h)**(-19))**7 ass...
{ "pile_set_name": "DM Mathematics" }
ds? 55690425504000000000 How many decades are there in fifty-nine fifths of a century? 118 What is eleven halves of a tonne in kilograms? 5500 How many litres are there in 0.6089539ml? 0.0006089539 How many milliseconds are there in 66.22944 nanoseconds? 0.00006622944 What is 7266.875 kilograms in micrograms? 726687500...
{ "pile_set_name": "DM Mathematics" }
e units digit of 2119941? 1 What is the hundreds digit of 723680? 6 What is the tens digit of 1086703? 0 What is the hundreds digit of 140507? 5 What is the units digit of 136359? 9 What is the units digit of 1266995? 5 What is the ten thousands digit of 3681153? 8 What is the hundred thousands digit of 754072? 7 What ...
{ "pile_set_name": "DM Mathematics" }
hat is the greatest common factor of 2820 and 13577595? 705 What is the highest common factor of 17960656 and 98? 98 What is the highest common factor of 66352100 and 2220? 740 What is the greatest common factor of 2377 and 186109592? 2377 Calculate the highest common factor of 1006 and 25154. 2 What is the greatest co...
{ "pile_set_name": "DM Mathematics" }
give h. -260 Rearrange -1487*k - 5 + 9 + 1834*k + (-1 - 1 + 1)*(k - 5*k + 5*k) to q + x*k and give x. 346 Rearrange -130*o - 3*o**3 + 234*o - 239 - 97*o to the form g + c*o**3 + v*o + p*o**2 and give v. 7 Express (19 + 16 - 18*u + 5 - 21)*(130*u - 54 + 54) as x*u**2 + z + k*u and give k. 2470 Express -11 - 1 + 31 + 13 ...
{ "pile_set_name": "DM Mathematics" }
-5*n, -4*v - 49*n - 16 = -45*n. Determine i(v). 4 Let r be (2416/240 - 10)/((-4)/(-3)). Let c(w) be the second derivative of 2*w**2 - 2/3*w**3 + 1/4*w**4 - r*w**5 + 25*w + 0. Determine c(3). -8 Suppose -8 = 4*r - 0. Let x be (0/(-3))/(2/r). Let t(m) = -2244*m + 569*m + 537*m + 0 + 567*m + 1 + 570*m. Calculate t(x). 1 ...
{ "pile_set_name": "DM Mathematics" }
, 47564, 107011, 190236, 297239? 11889*t**2 + 2*t + 4 What is the b'th term of -869, -823, -777, -731, -685, -639? 46*b - 915 What is the r'th term of -608921, -608923, -608925, -608927, -608929? -2*r - 608919 What is the z'th term of -1939, -7728, -17379, -30892, -48267? -1931*z**2 + 4*z - 12 What is the d'th term of ...
{ "pile_set_name": "DM Mathematics" }
. -18*b + 566 Let i(d) = d**2 + 2*d + 1. Let v(h) = 0 - 6*h**2 - 1 - 5 - 53*h**2 - 114*h**2. Let o(y) = -i(y) + v(y). What is the second derivative of o(f) wrt f? -348 Let s(w) = 1098*w**3 - 25*w**2 - 896*w. Let d(n) = 1103*n**3 - 30*n**2 - 895*n. Let j(p) = -5*d(p) + 6*s(p). Find the second derivative of j(z) wrt z. 6...
{ "pile_set_name": "DM Mathematics" }
**6/40 + 3*f**5/20 - 2*f**3 + f**2. Suppose x(y) = 0. What is y? -1, 2 Factor 15/4*g**2 - 5*g + 5*g**3 - 5 + 5/4*g**4. 5*(g - 1)*(g + 1)*(g + 2)**2/4 Let u(a) = -32*a**3 + 5*a**2 - 7*a + 14. Let c(w) = -16*w**3 + 3*w**2 - 3*w + 6. Let m(o) = 7*c(o) - 3*u(o). Suppose m(l) = 0. What is l? 0, 3/8 Let o(c) be the second de...
{ "pile_set_name": "DM Mathematics" }
*h = q - c + 2, -5*q - 6 = -4*h for h. -1 Let k(u) = -u**2 + 12*u - 8. Let p be 3*((-132)/9)/(-4). Let z be k(p). Solve -5*v - z*h = 13, -v = h + 4*h - 15 for v. -5 Let a(t) = t**2 + 6*t + 1. Let h be a(-7). Let y = h + -3. Let v = 3 - 0. Solve -y*o + 3 = s, -4*o - 9 = -v*s + o for s. 3 Let f(q) = -10*q - 1. Let s(l) =...
{ "pile_set_name": "DM Mathematics" }
it of (-1)/(384/1179 - f/(-12))? 1 Let o = -145 - -153. Suppose -o*m + m + m = 0. Suppose m*c - 5*c - 15 = 0, 0 = -5*g - 2*c + 1279. What is the units digit of g? 7 Suppose 4*l = 4*c - 600, 0 = -2*c - 2*l + 157 + 163. Let o = c + -11. What is the tens digit of o? 4 Let r = 5061 - 2331. Suppose 156 = 4*k - 2*t - r, 2*k ...
{ "pile_set_name": "DM Mathematics" }
(3 - (-26 + 21)) - -6. 10 4 - (52 + -58 + (16 - -1)) -7 Calculate (8 - (-2 - -7 - -12)) + 24. 15 What is 5 - (4 + -17 + 7)? 11 What is the value of (0 + 13 - 4) + -20? -11 What is -11 - (-21 + 22 - (11 - (2 - 0)))? -3 What is 4 + (-14 + 21 - 13 - (12 - -2))? -16 Evaluate 4 - (-1 - 9) - (-1 + 7). 8 -1 - (4 + -11 - -15) ...
{ "pile_set_name": "DM Mathematics" }
(d) -0.3 c Which is the nearest to -0.1? (a) 0 (b) 1/10 (c) 1/5 (d) -1/6 d What is the nearest to -183 in -3, 3, -1? -3 Which is the closest to -2/3? (a) 3/8 (b) 2/7 (c) -0.2 (d) -7 c Which is the nearest to -2/7? (a) -2/21 (b) -2/5 (c) 4 (d) 8 b What is the closest to -2/3 in -1/3, -142, -5, -0.4? -0.4 W...
{ "pile_set_name": "DM Mathematics" }
s**2 - 53*s + 85. Let m be h(7). What is the nearest to -1 in m, k, 4? k Let o = 805440 - 805445. Let v = 3 - 2. Let g be (2/(-16))/(v/(-2)). What is the nearest to 0 in o, 5/3, g? g Let u(n) = -15*n + 730. Let v be u(0). Suppose 24*k - v + 106 = 0. Let r = -1 + 3. Which is the closest to k? (a) 0.5 (b) -4 (c) r c S...
{ "pile_set_name": "DM Mathematics" }
2/15)) assuming t is positive. t**(5722/165) Simplify (((((o/((o**(2/39)*o*o)/o*o))/o)**(2/7))**(4/3))**23)**(-42) assuming o is positive. o**(29440/39) Simplify (((y**(-1))**(6/35)*y**1/y**2)**30)**(-9) assuming y is positive. y**(2214/7) Simplify ((((j/j**(-2/5))/(j*j*j**(1/8)))**(6/23))**(-46))**(-5/7) assuming j is...
{ "pile_set_name": "DM Mathematics" }
21121*t**2 - 7040*t**2 - 3*t - 7041*t**2 - 7042*t**2 + 3*t. -2*t**2 Collect the terms in 305*g**2 - 493023*g + 2 - 2 + 493023*g. 305*g**2 Collect the terms in -9*i - 28 + 21 + 7. -9*i Collect the terms in -5138 + 5138 + 858*y**2. 858*y**2 Collect the terms in -57 - 11*z**2 - 44 + 101 + 2*z**2. -9*z**2 Collect the term...
{ "pile_set_name": "DM Mathematics" }
232086000000 What is 173.7525 kilograms in tonnes? 0.1737525 How many years are there in 1/4 of a century? 25 How many centimeters are there in 363011.4um? 36.30114 How many centimeters are there in 8/25 of a meter? 32 How many millilitres are there in 3/8 of a litre? 375 Convert 1085465.7 milliseconds to hours. 0.3015...
{ "pile_set_name": "DM Mathematics" }
. -91701/7, 0, 3/7, 47 Put 4/43, 893, -962/5 in decreasing order. 893, 4/43, -962/5 Sort 2, 137, 155285. 2, 137, 155285 Put -1/9, -110/1073, -2/305 in descending order. -2/305, -110/1073, -1/9 Sort 1/11, 6, -1.5265, 0, -0.1 in descending order. 6, 1/11, 0, -0.1, -1.5265 Put -4, -1, 2, 3, -42, 34, 77 in descending order...
{ "pile_set_name": "DM Mathematics" }
2 + 418*v**2 + 6*v**5 - 19*v**5 wrt v? -780*v**2 Let x(m) be the first derivative of 2*m - m + 1 - m - m**3 + m. What is the derivative of x(w) wrt w? -6*w Let i(u) be the third derivative of u**8/280 + u**5/24 - u**3/6 - 9*u**2. Let m(o) be the first derivative of i(o). What is the second derivative of m(k) wrt k? 72*...
{ "pile_set_name": "DM Mathematics" }
st to -0.107? (a) 2 (b) 3/7 (c) -5 b Which is the nearest to -1? (a) -2 (b) 2/14623 (c) -3/5 (d) 2 c Which is the nearest to -5? (a) -5/6 (b) 9/10 (c) 2/5 (d) -0.7 (e) 3/4 a What is the closest to 1/3 in 3, 0, 0.5, -5, -5390? 0.5 Which is the closest to 1/5? (a) -2 (b) 686 (c) 0 (d) -3 c What is the nea...
{ "pile_set_name": "DM Mathematics" }
slalaasals? 5/1938 Calculate prob of picking 4 r when four letters picked without replacement from {o: 1, r: 7}. 1/2 Calculate prob of picking 3 b when three letters picked without replacement from {b: 16, q: 2}. 35/51 Calculate prob of picking 2 t when two letters picked without replacement from ttllttlllttltlll. 7/40...
{ "pile_set_name": "DM Mathematics" }
mon factor of b and 9. 9 Let q(v) = v**2 - 7. Let u be q(6). Let n be (-19 + -10)*(-5 + -2). What is the highest common factor of u and n? 29 Suppose -h = -78 + 75. What is the greatest common factor of h and 6? 3 Suppose o = 2*o - 10. Let w be (21/7)/(6/80). What is the greatest common divisor of o and w? 10 Let t be ...
{ "pile_set_name": "DM Mathematics" }
Let k(a) = 117*a**2. Let c(y) = -3*y**2. Determine k(c(l)). 1053*l**4 Let a(f) = -f**2. Let k(w) = 2 - 2 - w. Let j(o) = -4*o + 8*o - 5*o + 0*o. Let y(z) = -3*j(z) + 4*k(z). Calculate a(y(u)). -u**2 Let g(s) be the third derivative of s**7/2520 + s**4/12 - 4*s**2. Let f(a) be the second derivative of g(a). Let t(j) = j...
{ "pile_set_name": "DM Mathematics" }
of sequence jf. 2/95 Calculate prob of sequence ifzp when four letters picked without replacement from iccficzppccfii. 2/3003 Two letters picked without replacement from {y: 9, c: 11}. What is prob of sequence yc? 99/380 Four letters picked without replacement from {m: 7, e: 9}. What is prob of sequence memm? 9/208 Th...
{ "pile_set_name": "DM Mathematics" }
= t + 3*t - 8. Solve t*x = -3*x for x. 0 Let l(s) = -4*s**2 - 10*s + 13. Let u be l(-3). Solve 0 = 16*f - u*f - 45 for f. 5 Let s be (-60)/420 - (-184)/14. Solve -r - 14 = -s for r. -1 Let d be 27/(-6) - -3 - 120/(-16). Solve 0 = 6*q + d - 0 for q. -1 Suppose 16*b = 15*b. Solve b = -9*q + 10*q for q. 0 Suppose 12*t - ...
{ "pile_set_name": "DM Mathematics" }
024/(-396)*847/(-231). Calculate the highest common factor of b and z. 7 Suppose -68*k + 1045836 = 71*k. What is the highest common divisor of k and 99? 99 Suppose -198603*i + 308 = -198581*i. What is the highest common factor of 45024 and i? 14 Let t = 1710 - 1178. Let m = t - 252. Calculate the highest common divisor...
{ "pile_set_name": "DM Mathematics" }
5 = -6*r. Let l be 24*r/(-12)*-3. Suppose 5*p - 4*c - 14 = -3*c, -2*c = -5*p + l. Sort p, -1, -4 in descending order. p, -1, -4 Let g = 0.02 - -10.98. Let l = 6.4 - 0.4. Let z = l - g. Sort 3/7, z, -3 in decreasing order. 3/7, -3, z Let d = 0.1 + -0.18. Let p = -0.38 - d. Let o = 0.03 - 0.23. Put -5, p, o in descending...
{ "pile_set_name": "DM Mathematics" }
*k**3*v - 8*k*v**2 + 357698*v wrt v. 63004*k**3 - 16*k Find the third derivative of -2*f**4 - 293224444*f**3 + 2*f**2 - f - 15211025 wrt f. -48*f - 1759346664 Differentiate -14158001*s*y**3 - 555*y**3 + 6986*y**2 with respect to s. -14158001*y**3 What is the second derivative of -2308318*v**3 + 44*v**2 - 124*v - 721114...
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 3864 What is 6723695 to the power of 1/2, to the nearest integer? 2593 What is 388438 to the power of 1/5, to the nearest integer? 13 What is the sixth root of 2753980 to the nearest integer? 12 What is 4683449 to the power of 1/9, to the nearest integer? 6 What is the eighth root of 13358046 to ...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {f: 2, o: 2, h: 2}. What is prob of picking 2 h and 1 f? 1/10 Four letters picked without replacement from xxeexxxeeeexexeexex. What is prob of picking 2 e and 2 x? 135/323 Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {k: 4, e: 2, v: 1, ...
{ "pile_set_name": "DM Mathematics" }
2 + 47*u - 2 Let t(a) = -281*a**2 - 4*a - 7. Let h(d) = -555*d**2 - 9*d - 15. Give -4*h(u) + 9*t(u). -309*u**2 - 3 Let u(p) = 3932 - p**2 + 3*p**3 + 5*p - 1314 - 1301 - 1312. Let c(l) = 4*l**3 - l**2 + 6*l + 6. Let i be ((-15)/6)/(1/(-2)). What is i*c(t) - 6*u(t)? 2*t**3 + t**2 Let s(t) = -2*t**2 + 8*t + 97. Let n(k) =...
{ "pile_set_name": "DM Mathematics" }
of 2119018937 to the nearest integer? 9 What is 144301577 to the power of 1/3, to the nearest integer? 525 What is the third root of 21666215 to the nearest integer? 279 What is 3061230465 to the power of 1/3, to the nearest integer? 1452 What is the square root of 131232675 to the nearest integer? 11456 What is 290576...
{ "pile_set_name": "DM Mathematics" }
23057*t with respect to g. 24*g**3 - 2973*t Find the third derivative of 976317*o**3 - 111*o**2 + 416*o + 1 wrt o. 5857902 Find the second derivative of -j*r**4 + j*r + 22*j - 55525*r**2 - 277*r wrt r. -12*j*r**2 - 111050 What is the second derivative of -4327121*r**2 + 3595506*r? -8654242 Differentiate 5*d**2*u**2 - ...
{ "pile_set_name": "DM Mathematics" }
st value? (a) -31 (b) 4 (c) 489 (d) 0.2 (e) -27 (f) 48 e What is the third smallest value in 0.1, -2/9, 0.4, 2/3, -0.5, 0.05, 83182? 0.05 What is the third biggest value in -0.2, 5, -3/11, -1.13, 3? -0.2 Which is the fourth smallest value? (a) 6 (b) 5/7 (c) 0.19 (d) -774 (e) 2/11 (f) 1 b What is the smalles...
{ "pile_set_name": "DM Mathematics" }
True Which is greater: -17 or -20? -17 Which is greater: 1568 or 1571? 1571 Which is smaller: -22906 or -22905? -22906 Which is greater: 2/169 or 1? 1 Are -1 and 24 equal? False Are -3/169 and 1 nonequal? True Which is greater: 1302/11 or 119? 119 Which is greater: 646 or 647? 647 Is 54 at most as big as -3? False Whi...
{ "pile_set_name": "DM Mathematics" }
divided by 366192? 81 What is the remainder when 8036 is divided by 7942? 94 Calculate the remainder when 12458 is divided by 509. 242 Calculate the remainder when 9923659 is divided by 29. 4 Calculate the remainder when 101930379 is divided by 20. 19 What is the remainder when 59206341 is divided by 1798? 1797 What i...
{ "pile_set_name": "DM Mathematics" }
e in z, -1, y? y Let t be 0 + -7 + 265/35. What is the second smallest value in t, 2/3, 4? 2/3 Let p = -764.6 - -765. Let o = 28.999 - -0.001. Which is the biggest value? (a) 0.2 (b) 1/7 (c) p (d) o d Let l = -1311.2 + 1311. Which is the fourth biggest value? (a) l (b) 2/41 (c) 1/8 (d) -4 d Let m = 0.24 - -0.6....
{ "pile_set_name": "DM Mathematics" }
*f. Suppose 8 = -2*i + 6*i. Suppose 2 + 4 = w - 5*z, p*z = i. Does 4 divide w? False Suppose -70*a + 1413 = -1107. Is 3 a factor of a? True Does 40 divide 1944*(160/(-3))/(-16)? True Let r = -35 + -41. Let y = 0 - r. Let h = y - -64. Does 35 divide h? True Does 8 divide -3*(0 - -2) + 4292? False Suppose -2083 = -6*s - ...
{ "pile_set_name": "DM Mathematics" }
5 minutes after 8:32 AM? 12:57 PM How many minutes are there between 6:14 PM and 11:41 PM? 327 What is 286 minutes after 8:09 AM? 12:55 PM How many minutes are there between 2:00 AM and 4:03 AM? 123 What is 98 minutes before 6:16 AM? 4:38 AM What is 485 minutes before 9:49 PM? 1:44 PM What is 620 minutes after 12:40 AM...
{ "pile_set_name": "DM Mathematics" }
nder when g is divided by 86? 49 Let x(k) = -k**2 - 3*k + 156. Let b(v) = -v**2 + 17*v + 17. Calculate the remainder when x(0) is divided by b(15). 15 Suppose -4*c - 13*c + 3611 = 6*c. What is the remainder when 1424 is divided by c? 11 Suppose -54*a = -16793 + 4319. What is the remainder when a is divided by 20? 11 Le...
{ "pile_set_name": "DM Mathematics" }
than -55/12? True Which is smaller: -93 or -122? -122 Does -1412 = -1420? False Which is bigger: 1 or 1143? 1143 Are 224/115 and 3 unequal? True Is -180 equal to -13? False Is 1 at least as big as 6/25? True Is 4 less than or equal to 4584? True Which is bigger: 7 or 2103? 2103 Are 1/44 and -6 equal? False Which is sm...
{ "pile_set_name": "DM Mathematics" }
t. -7320*t + 84 Suppose 3*f + 25*f = 56. Find the second derivative of 2483*o**3 + 2*o**4 - 2454*o**3 - 91*o + o**2 - o**f wrt o. 24*o**2 + 174*o Let u be 57/5 - 4/(-20)*-2. Find the second derivative of -r - 36*r**4 - 21*r + 24*r - 2*r**2 + u wrt r. -432*r**2 - 4 Let i(l) = l**3 + 4*l**2 - 14*l + 6. Let m be i(2). Wha...
{ "pile_set_name": "DM Mathematics" }
(y) = -5*y - 19. Let s be d(-6). Suppose m*o + 5*k - 3*k - 26 = 0, o - k - s = 0. Is o a multiple of 12? True Let y be 4/(-10) - (-24)/10. Does 2 divide 2 - 3 - (-12)/y? False Let d(o) = o**3 + 5*o**2 - 3*o + 3. Let r be d(-6). Let a be -58*1/(6/r). Suppose 0 = 5*f - 5*q - a, -2*q - 85 = -3*f - 0*f. Does 15 divide f? F...
{ "pile_set_name": "DM Mathematics" }
er when 340767 is divided by 4207. 0 What is the remainder when 414142458 is divided by 46? 42 What is the remainder when 220845 is divided by 30548? 7009 What is the remainder when 820176 is divided by 2345? 1771 What is the remainder when 452431 is divided by 12? 7 Calculate the remainder when 159952364 is divided by...
{ "pile_set_name": "DM Mathematics" }
g**2). -11*g**3 Expand 4*l**5 + l**4 - 32 + 32 + (-l**2 + 0*l**2 - l**2)*(-2*l**3 + l - l) + 4*l**5 - l**5 - 5*l**5. 6*l**5 + l**4 Expand (4*q**4 - 4*q**4 + 2*q**5)*(-1233 + 2629 - 1205). 382*q**5 Expand (o**2 - o**2 + o**3)*(47*o**2 - 2460 + 2460) + (2*o**4 - 2*o**4 - o**5)*(3 - 1 + 0). 45*o**5 Expand (t**3 + 4*t**3 -...
{ "pile_set_name": "DM Mathematics" }
*2 + 12*r*t + 17*t What is the derivative of -73*s**3 + 2*s**2 - 20*s + 1379 wrt s? -219*s**2 + 4*s - 20 What is the second derivative of 99*n**2 - 205*n? 198 Differentiate 413*m**3 - 872 wrt m. 1239*m**2 Find the second derivative of -2*b**3*h**2 + b**3 - 193*b*h**3 + 24*b*h - h wrt h. -4*b**3 - 1158*b*h Find the firs...
{ "pile_set_name": "DM Mathematics" }
ny minutes are there between 2:28 PM and 12:04 AM? 576 What is 481 minutes before 3:40 PM? 7:39 AM What is 558 minutes after 10:52 PM? 8:10 AM How many minutes are there between 6:13 PM and 5:41 AM? 688 What is 418 minutes before 6:09 PM? 11:11 AM What is 243 minutes before 1:30 PM? 9:27 AM What is 141 minutes before 1...
{ "pile_set_name": "DM Mathematics" }
by 22 202577/22 What is -71 divided by 187520? -71/187520 Divide 123289760 by 5. 24657952 -2815488 divided by -6 469248 Calculate 1 divided by 24870248. 1/24870248 What is -363960342 divided by 111? -3278922 What is -55832366 divided by 2? -27916183 44548 divided by 12058 22274/6029 What is -551228328 divided by -8506...
{ "pile_set_name": "DM Mathematics" }
80*sqrt(2) + 806 Simplify (-6*(-2*sqrt(200) + 0)*-1)**2. 28800 Simplify (5*(-2 + sqrt(1900) + (sqrt(1900) - -2*sqrt(1900)) + 3))**2 + -3. 2000*sqrt(19) + 760022 Simplify (2*sqrt(119)*6)/sqrt(7) - sqrt(136)/sqrt(2)*-5. 22*sqrt(17) Simplify (((1*((3*sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72)))/sqrt(4))/(6*(sqrt(81) + (3*...
{ "pile_set_name": "DM Mathematics" }
-4)/(-2). Calculate the greatest common factor of j and y. 1 Let g = -1604 + 2503. Let a = -1801 + 1832. Calculate the highest common factor of g and a. 31 Let a be ((-20)/(-12))/((-3)/(-108)). Let f = a + 60. Calculate the greatest common factor of f and 24. 24 Let f = -1014 - -718. Let v = 310 + f. Calculate the grea...
{ "pile_set_name": "DM Mathematics" }
87. Solve 12*v - k = 82 for v. 7 Suppose -5*l + 45 = 3*k - 4*k, -5*k = 4*l + 109. Let m = k - 76. Let v = 103 + m. Solve -1 = -v*f + 1 for f. 1 Let f be ((-23652)/(-3358) - (-3)/(-69)) + -5. Suppose -2*n + 22 - 4 = 0. Suppose -4*v + 3 = -n. Solve v = -f*b - 1 for b. -2 Suppose 0 = 421*g + 4*g - 54825. Solve 111*o - g*o...
{ "pile_set_name": "DM Mathematics" }
at is (59/(826/36))/((-3)/(-1))*168/176? 9/11 Evaluate (-30)/12*4*(-7)/(-252)*9. -5/2 380/(-10)*15*5/375*(-15)/6 19 Evaluate (-4272)/19936*21/(-18). 1/4 Calculate (40/(-45))/(742/10017). -12 -6*27/63*-5*(-126)/135 -12 What is (872/5668)/(14/13)*30? 30/7 Calculate (-2)/8*(-2)/1*42*(-25)/55650. -1/106 Calculate ((-4056)/...
{ "pile_set_name": "DM Mathematics" }
n 7:43 PM and 1:11 AM? 328 How many minutes are there between 11:07 AM and 7:15 PM? 488 What is 655 minutes before 11:32 PM? 12:37 PM What is 631 minutes before 9:49 AM? 11:18 PM How many minutes are there between 11:58 PM and 12:04 AM? 6 What is 612 minutes before 11:54 AM? 1:42 AM How many minutes are there between 5...
{ "pile_set_name": "DM Mathematics" }
42 (base 8) in base 14? -26 What is -37 (base 13) in base 10? -46 What is 116 (base 8) in base 11? 71 120 (base 3) to base 14 11 What is -4 (base 14) in base 5? -4 -12000 (base 3) to base 14 -99 What is -100 (base 7) in base 13? -3a What is -57 (base 10) in base 12? -49 Convert -1030 (base 4) to base 5. -301 124 (base ...
{ "pile_set_name": "DM Mathematics" }
-0.3, u, 0.1, 3/7? 0.1 Let l = 916/3 + -305. Which is the smallest value? (a) -1/6 (b) 22 (c) l a Let r = 1021.7431 + 0.2569. What is the second smallest value in 0.3, r, 4? 4 Let w be 3/21 + 24*15/3360. Let r = 127/6 - 21. Which is the second smallest value? (a) r (b) w (c) -2 a Let f = 52/43 - 251/172. What is ...
{ "pile_set_name": "DM Mathematics" }
m*u + c*u**3 + s*u**2 + i and give c. -678 Rearrange -2 + 119*k - 2*k**2 - 561*k + 0 + 92*k to c*k + t*k**2 + w and give c. -350 Express (-17*o - 9*o - 4*o)*(571 - 151 - 258) as y*o + w and give y. -4860 Rearrange -76*q**3 - 165*q + 4*q**2 + 75*q**3 + 203*q to the form j*q**2 + n*q**3 + s + h*q and give h. 38 Rearrange...
{ "pile_set_name": "DM Mathematics" }
090255 to seven dps. 0.000009 Round 1026.085 to zero dps. 1026 Round -0.16347932 to four decimal places. -0.1635 Round 129.34253 to the nearest integer. 129 Round -0.10050284 to 5 dps. -0.1005 What is -0.000298178 rounded to 5 decimal places? -0.0003 What is -0.02661957 rounded to 3 dps? -0.027 Round 106925 to the near...
{ "pile_set_name": "DM Mathematics" }
t x(y) be the first derivative of y**6/6 + 15*y**4/4 + 1024*y**3/3 + 625. Find the third derivative of x(q) wrt q. 60*q**2 + 90 Suppose 3*c - 10 = c. Suppose 8*b = 31*b - 299. What is the derivative of -c + 164*u**3 - 175*u**3 + b wrt u? -33*u**2 Let v(c) = -14*c - 13. Let b(j) = 3*j**2 + 7*j - 2. Let q be b(-5). Let s...
{ "pile_set_name": "DM Mathematics" }
2 Let m(t) = t. Let v(j) = -2*j - 1219. What is m(v(d))? -2*d - 1219 Let u(q) = -75*q. Let a(l) = 2*l. Give a(u(c)). -150*c Let u(n) = -3*n + 3*n - 33*n**2 + 30*n**2. Let s(g) = -17*g. What is u(s(y))? -867*y**2 Let w(z) be the third derivative of -z**5/60 + 9*z**2. Let v(c) = 8*c. Give v(w(b)). -8*b**2 Let k(g) = 6*g*...
{ "pile_set_name": "DM Mathematics" }
. -13 Let b(n) = 107*n**2 - n - 3. Let c be b(-3). What is the derivative of 977*u**3 - 2141*u**3 + 63 + 145 + c*u**3 wrt u? -603*u**2 Let z = 67 - 56. What is the second derivative of 19*s**2 + 6*s + 8*s + 38*s**2 + z*s wrt s? 114 Let r(v) = -4*v + 89. Let u be r(21). What is the third derivative of -77*l**5 - 43*l**2...
{ "pile_set_name": "DM Mathematics" }
Let r be g(-3). Suppose 19*x + d = r*x - 2, 0 = 4*x - 2*d. What is the second biggest value in 0, x, 102? 0 Let h = 1031 - 1031.4. Which is the smallest value? (a) h (b) -3 (c) 4/3 (d) 41 b Let t be 5/(-35)*-14 + ((-21)/5 - -2). What is the biggest value in -3, t, 1/5, 135? 135 Let l be 274*(-3)/210 - -4. Which is...
{ "pile_set_name": "DM Mathematics" }
y = 7*z - 12. Suppose 4*x + 20 = 0, 0 = 4*i - z*x - 1099 - 506. Is i prime? False Suppose 3*f + 74 = 3*x - 8*x, -3*f + 54 = -3*x. Let v = -22 - x. Is (7/(-2))/(3/v) composite? False Suppose 89*i - 66692 = 1087371. Is i a prime number? True Let x(q) = -q**3 - 2*q**2 + 4*q + 2. Let u be x(-3). Let v be 1665*u/3*-2. Supp...
{ "pile_set_name": "DM Mathematics" }
3 Expand l + 0*l + l + 3*l - 5*l + 3*l + (1 - 2 + 0)*(l + 14*l - 3*l). -9*l Expand (5 - 5 - q**2)*(1 - 5 + 5)*(-5 + 4 + 4). -3*q**2 Expand 13*c**4 - 27*c + 27*c + (-3*c + c + c)*(2*c**3 - 4*c + 4*c). 11*c**4 Expand (-3*h**4 + 3*h**4 + 2*h**4 + (2*h + h + 0*h)*(1 - 1 + h**3))*(-5*h - 3*h + 4*h). -20*h**5 Expand (-3 + 4*...
{ "pile_set_name": "DM Mathematics" }
uppose 0 = 5*u - 4 - 11. Suppose 0 = -u*k - 2*k. Suppose k = 5*o - 2*o + 9. Put -4, 3, o in descending order. 3, o, -4 Let c be (6/8)/(2/8). Suppose 7 + 12 = c*d + 4*t, 2*d = 3*t + 7. Let r = -6/5 + 7/10. Sort d, r, 4 in descending order. d, 4, r Let c = 35/2 + -20. Suppose 3*s + 18 = 2*h + h, h + 5*s + 18 = 0. Let b =...
{ "pile_set_name": "DM Mathematics" }
rivative of 232232*y - 458040 wrt y? 232232 What is the second derivative of -2834996*l**2 + 1623286*l - 1 wrt l? -5669992 Find the second derivative of -13*a**3*d**3*w - a**3*d**2*w**2 + 2*a**3*d**2 + a**3 + 4*a**2*d - 473*d**3*w**2 - 3*d**2*w wrt w. -2*a**3*d**2 - 946*d**3 What is the third derivative of 1587*a**5 + ...
{ "pile_set_name": "DM Mathematics" }
60 - n**4/9 + 4*n**2. Solve z(b) = 0. -2, 0, 1 Let d(h) be the second derivative of 8*h - 1/3*h**3 + 0 + 3/2*h**2 - 1/3*h**4 + 1/30*h**6 + 1/10*h**5. Suppose d(z) = 0. What is z? -3, -1, 1 Suppose 441/5*b**2 - 147/5*b**3 - 36/5 + 12/5*b = 0. What is b? -2/7, 2/7, 3 Let r(c) = -c + 17. Let u be r(14). Suppose 15*m**2 + ...
{ "pile_set_name": "DM Mathematics" }
. -5 Let g(a) = -174*a - 18730. What is g(-106)? -286 Let a(d) = 2100*d + 233067. What is a(-111)? -33 Let s(v) = -23264*v - 3140648. Determine s(-135). -8 Let c(y) = 1577*y - 39129. Calculate c(26). 1873 Let j(z) = -z**2 + 6609*z - 340961. What is j(52)? 3 Let d(c) = -c**2 - 13087*c + 288385. What is d(22)? -13 Let p(...
{ "pile_set_name": "DM Mathematics" }
g). 3 Let i(o) = 2*o**2 - 6*o. List the prime factors of i(6). 2, 3 List the prime factors of (-3 - -3)/(-5) + 35. 5, 7 Let v = -8 + 0. Let b = v - -26. List the prime factors of b. 2, 3 Let y be (-2)/8 - 164/(-16). Let s = y + 14. Suppose s = n - 4*i + 1, -5*i = -n + 26. What are the prime factors of n? 11 Let r(z) = ...
{ "pile_set_name": "DM Mathematics" }
e form i*n + q*n**3 + s + f*n**2 and give q. 90 Rearrange (0*b + 0*b - 2*b)*(16 - 8*b**2 + 3*b**2 + 4*b**2) to the form r*b**3 + n*b**2 + q*b + s and give q. -32 Express 1073 - 85*j**2 - 1073 in the form n*j**2 + z + i*j and give n. -85 Rearrange (2*t + 8 - 17 + 3)*(3*t**3 + 3*t**3 - 7*t**3) to y*t + b + g*t**4 + n*t**...
{ "pile_set_name": "DM Mathematics" }
e prime factors of 180133? 61, 2953 What are the prime factors of 2056008? 2, 3, 85667 List the prime factors of 2939368. 2, 17, 21613 What are the prime factors of 762053? 762053 List the prime factors of 935600. 2, 5, 2339 List the prime factors of 3216243. 3, 173, 6197 List the prime factors of 29149236. 2, 3, 80970...
{ "pile_set_name": "DM Mathematics" }
*i**3 - 3*i**2 + 4*i - 5. What are the prime factors of d(3)? 2, 557 Let i be (103 + 2)/5 - 3. Let s(r) = i*r - 3*r + r - 1 - 4. List the prime factors of s(3). 43 Let v(o) = -4*o + 27. Let t(n) = 3*n - 28. Let q(w) = -5*t(w) - 4*v(w). List the prime factors of q(-8). 2, 3 Let z = 25 - 25. Suppose z = 5*u - 10*u + 575....
{ "pile_set_name": "DM Mathematics" }