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ssuming n is positive. n**(16327/4620) Simplify ((f*f**(2/11))/(f/f**(-4/5)))**47*((f**(-1/2)*f)**(-12))**16 assuming f is positive. f**(-6878/55) Simplify ((u**(-2/7))**(9/2))**(4/3)/((u**1)**(-39))**46 assuming u is positive. u**(12546/7) Simplify (((b**(2/5)*b**(-3/4))**(1/36))**(3/37))**33 assuming b is positive. b...
{ "pile_set_name": "DM Mathematics" }
*l**3 + z*l**2. What is the first derivative of r(c) wrt c? -6*c**2 Let m(u) be the third derivative of 0*u - 2/3*u**3 + 0*u**6 + 0 + 0*u**5 + 1/70*u**7 + 2*u**2 + 0*u**4. Differentiate m(w) wrt w. 12*w**3 Let q be (-3)/3*(3 - 6). Let x(w) be the second derivative of -1/12*w**4 - 2*w + w**2 + 0 + 0*w**q. What is the fi...
{ "pile_set_name": "DM Mathematics" }
closest to -3 in 3/7, -5, -0.016? -5 Which is the closest to -1? (a) -2/7 (b) 5 (c) 4 a What is the closest to 7 in -5/3, -4, -0.2, -5? -0.2 Which is the nearest to -2? (a) -4 (b) 4 (c) -3 (d) 1 c Which is the closest to 13? (a) 1/4 (b) 2 (c) 5/4 b What is the closest to 4 in 2, -3/7, -0.5? 2 What is the clo...
{ "pile_set_name": "DM Mathematics" }
t y be w/((-5)/((-15)/6)). Solve y = -s + 2 - 5 for s. -3 Let n(m) = m - 5. Let r be n(7). Suppose 0 = c + r*c - 15. Solve 8 + 12 = c*a for a. 4 Suppose -3*h + 5*k = 3 + 5, 0 = 5*h - 5*k + 10. Let y = 3 + h. Solve -5*q - y + 12 = 0 for q. 2 Suppose -17 = 2*p - 25. Let m be 50/8 + 2/(-8). Let n be ((-2)/(-5))/((-2)/(-30...
{ "pile_set_name": "DM Mathematics" }
- 12*t - 16 What is the v'th term of 3718, 3720, 3722, 3724, 3726? 2*v + 3716 What is the p'th term of 11, 15, 21, 29, 39, 51, 65? p**2 + p + 9 What is the q'th term of 32, 3, -44, -109, -192? -9*q**2 - 2*q + 43 What is the w'th term of 18, 62, 132, 228, 350, 498? 13*w**2 + 5*w What is the d'th term of -84, -172, -256,...
{ "pile_set_name": "DM Mathematics" }
sqrt(576))*-5). sqrt(3)/360 Simplify (2*-2*sqrt(200)*5)/(3*sqrt(250) - sqrt(30)/(sqrt(3)*2)). -80*sqrt(5)/29 Simplify ((5 + -2*sqrt(1216) + 5)*-1)**2 - ((sqrt(190)*1*5 + sqrt(190) - sqrt(190))/sqrt(10) - (-1 + (sqrt(19) - sqrt(1900)*-1)))**2. -308*sqrt(19) + 4279 Simplify (-3*(-2 + 0 + sqrt(1300) + -5 + -5)*6)**2*6. -...
{ "pile_set_name": "DM Mathematics" }
7? -w + 914013 What is the m'th term of 1554, 1508, 1484, 1482, 1502, 1544, 1608? 11*m**2 - 79*m + 1622 What is the j'th term of -324, -428, -554, -714, -920, -1184, -1518? -2*j**3 + j**2 - 93*j - 230 What is the v'th term of 401, -39, -477, -913, -1347, -1779? v**2 - 443*v + 843 What is the t'th term of 25494, 25487, ...
{ "pile_set_name": "DM Mathematics" }
-1 Express 51 - 25 + 24*f - 23 as r*f + w and give r. 24 Rearrange (2 - 5 + 4)*(5*a - 90*a - 16*a) to the form d*a + l and give d. -101 Express (4*u - 2 + 2)*((-2 + 2 - 1)*(5 - u - 5) + 0*u + 0*u + 2*u) in the form t*u**2 + s + d*u and give t. 12 Express (-3*q + 2*q - 2*q)*(47 + 12*q**2 - 10*q**2 - 2*q + 3*q) as w*q**...
{ "pile_set_name": "DM Mathematics" }
Let b(z) = 17 + 0*z**2 - i*z**2 - 11 + z - 3*z**3 + 2*z**3. Determine b(-5). 1 Let d(m) = m**2 - 9*m + 6. Let q be (-3 - (-8 - -2)) + 6. Calculate d(q). 6 Let f(g) = -7*g - 13. Let l(b) be the first derivative of 2*b**2 + 7*b - 4. Let t(v) = -3*f(v) - 5*l(v). Give t(-4). 0 Let l(d) = d**2 + 10*d + 8. Let q(y) = -3*y + ...
{ "pile_set_name": "DM Mathematics" }
at is 154855540 to the power of 1/3, to the nearest integer? 537 What is the sixth root of 684342767 to the nearest integer? 30 What is 157028103 to the power of 1/2, to the nearest integer? 12531 What is the eighth root of 514492749 to the nearest integer? 12 What is the tenth root of 189454026 to the nearest integer?...
{ "pile_set_name": "DM Mathematics" }
quence wc when two letters picked without replacement from {x: 1, w: 2, c: 1, e: 1, p: 5}. 1/45 Two letters picked without replacement from qqqqqqq. What is prob of sequence qq? 1 What is prob of sequence mim when three letters picked without replacement from {i: 2, m: 5}? 4/21 What is prob of sequence yeg when three l...
{ "pile_set_name": "DM Mathematics" }
o = 14*o + 10. Suppose -5*h = -g - 278, -o*h + 4*g + 197 + 75 = 0. Is h a multiple of 7? True Let k(r) = -r**3 + r - 17. Let f be k(0). Suppose -a = -4*a + 5*j - 24, -68 = 5*a + j. Let o = a - f. Is o a multiple of 4? True Is 5621/8 + (-15)/200*-5 a multiple of 36? False Suppose 0 = 11*c - 12909 - 19651. Is c a multipl...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {q: 3, d: 6, l: 1, x: 3, r: 1, n: 4}. Give prob of sequence xxrd. 1/2040 Calculate prob of sequence qpp when three letters picked without replacement from {a: 1, p: 2, g: 1, q: 1}. 1/30 What is prob of sequence uiu when three letters picked without replacement from {h: 1, u: 2, i: 1}? 1...
{ "pile_set_name": "DM Mathematics" }
p + 28, 2*p + 5*g + 9 = -3. Is p even? True Let q(n) = n**2 - 7*n. Let i = -4 - -13. Let x be q(i). Suppose 3*k = k + x. Is 5 a factor of k? False Suppose 0 = d - 5*p - 57, -5*d + 3*p + 313 = 6*p. Is 4 a factor of d? False Let r = 222 + -70. Is r a multiple of 38? True Let b = 3 - 9. Let x be ((-4)/b)/((-4)/(-24)). Sup...
{ "pile_set_name": "DM Mathematics" }
.1 in decreasing order. 266, 5, -0.06, -0.1 Put -1, -0.93, -1/6 in ascending order. -1, -0.93, -1/6 Put -9, -3, -5, -17 in decreasing order. -3, -5, -9, -17 Sort 0, -2/7, 87, 2/3. -2/7, 0, 2/3, 87 Put 0, 8, -27 in decreasing order. 8, 0, -27 Sort 0.4, -0.3, 21 in ascending order. -0.3, 0.4, 21 Put -5, 1/3, 4, 0.2 in as...
{ "pile_set_name": "DM Mathematics" }
, to the nearest integer? 2 What is 2275 to the power of 1/5, to the nearest integer? 5 What is 12731 to the power of 1/2, to the nearest integer? 113 What is the cube root of 10617 to the nearest integer? 22 What is 1330 to the power of 1/5, to the nearest integer? 4 What is the square root of 27820 to the nearest int...
{ "pile_set_name": "DM Mathematics" }
30 Calculate the remainder when 153059 is divided by 37979. 1143 What is the remainder when 393282 is divided by 785? 782 Calculate the remainder when 1704169 is divided by 1991. 1864 What is the remainder when 10211010 is divided by 2552748? 18 What is the remainder when 21817943 is divided by 1273? 1269 What is the r...
{ "pile_set_name": "DM Mathematics" }
. Suppose b = -5*g + 2*b + 23, 4*g - b = x. Is g a multiple of 2? True Let q be 32/(-20)*(-15)/6. Suppose 4*i + 3*x - 165 = 0, -21 = -2*i + q*x + 89. Is i a multiple of 15? True Let n be 1 - (0 + 2) - -6. Suppose 5*h + 3*c = 12 + 25, -2*h + 14 = c. Is 2/h*n*4 a multiple of 6? False Let x(n) = n**3 + 13*n**2 + 3*n - 25....
{ "pile_set_name": "DM Mathematics" }
r. Give v(-4). -3 Let h(n) be the third derivative of -n**5/30 + 7*n**4/24 - 5*n**3/6 + 3*n**2. Let g = -1 + 3. Suppose g*z - 5*z + 12 = 0. Calculate h(z). -9 Let y(l) be the first derivative of l**2/2 + 5*l - 2. Let i be ((5 - 2)/3)/(1/(-6)). Give y(i). -1 Let y(r) be the third derivative of -5*r**4/24 + 2*r**2. Let m...
{ "pile_set_name": "DM Mathematics" }
2*u - 29 What is the b'th term of 345, 676, 993, 1290, 1561, 1800? -b**3 - b**2 + 341*b + 6 What is the o'th term of 4127, 8271, 12425, 16595, 20787, 25007, 29261, 33555? o**3 - o**2 + 4140*o - 13 What is the c'th term of 5085, 10171, 15257, 20343? 5086*c - 1 What is the f'th term of 15, 41, 107, 231, 431, 725? 3*f**3 ...
{ "pile_set_name": "DM Mathematics" }
f f and 2202. 6 Suppose -13*q + 5*q = 0. Let r(c) = -9*c + 1. Let y be r(q). Suppose 3*w - 5*u = -0*u + 9, -4*u = w - 20. What is the greatest common divisor of w and y? 1 Suppose 0 = n + 6, -4*n = -226*a + 225*a + 776. What is the greatest common factor of 20 and a? 4 Let x be 326/4 - 1/(-2). Suppose 0*m + 4*t + x = 3...
{ "pile_set_name": "DM Mathematics" }
is t rounded to three decimal places? -0.018 Let d = -43.308 + 28.52. Let c = d - -14.8. Round c to two decimal places. 0.01 Let j = -3565 - -3565.000004855. What is j rounded to seven dps? 0.0000049 Let c = -7.1019 + 7.0984463. What is c rounded to 3 decimal places? -0.003 Let r = -59.61649 - -1.40349. Round r to one ...
{ "pile_set_name": "DM Mathematics" }
w be ((-9)/m)/(1/(-10)). What is the first derivative of -4*i - 3 + 0 - w*i + i wrt i? -8 Let q(z) be the second derivative of 17*z**5/120 + z**4/6 + 5*z**3/2 + z. Let j(k) be the second derivative of q(k). What is the derivative of j(m) wrt m? 17 What is the third derivative of 2*o + 0*o - 19*o**5 - 4*o - 15*o**2 + 39...
{ "pile_set_name": "DM Mathematics" }
10027, -15030, -20015, -24976, -29907, -34802? -39655 What is the next term in 4557562, 4557560, 4557556, 4557550? 4557542 What is next in 534, 570, 614, 654, 678, 674? 630 What is the next term in -2419, -3965, -5513, -7063, -8615? -10169 What comes next: -365, -175, 17, 211? 407 What is the next term in 95, 299, 575,...
{ "pile_set_name": "DM Mathematics" }
+ 13. What is n(u)? -3 Let m(b) = 2*b**2 - 36*b**3 - 1 + 7*b**3 + 15*b**3. Let f(c) = c**3 + 3*c**2 - 4*c - 10. Let q be f(-3). Suppose 0*a + 7 = -y - 2*a, -q*y = a + 2. What is m(y)? -13 Let o(z) = -50*z - z**2 + 16 - 8 + 21 + 36*z. Determine o(-13). 42 Suppose -6 + 24 = 6*o. Suppose 0 = 6*w - w - 25, -o*c = -w - 28....
{ "pile_set_name": "DM Mathematics" }
the g'th term of 942, 947, 956, 969, 986, 1007, 1032? 2*g**2 - g + 941 What is the q'th term of -20471, -40925, -61379, -81833? -20454*q - 17 What is the s'th term of -53, -253, -619, -1175, -1945, -2953, -4223, -5779? -4*s**3 - 59*s**2 + 5*s + 5 What is the d'th term of -890, -3532, -7934, -14096, -22018, -31700? -88...
{ "pile_set_name": "DM Mathematics" }
the closest to r in -4/3, -47/2, 0.1? 0.1 Let i be 0 + (-8 - (-120)/16). Let k = 9 - 9.4. Let q = -0.04 - -3.04. Which is the closest to q? (a) -3 (b) i (c) k c Let l = -5577 - -5578. What is the nearest to -2 in l, 4, 157? l Let n = 6.56 + -1.56. Let f = -31.9 + 32. Which is the nearest to f? (a) n (b) -3/7 (c)...
{ "pile_set_name": "DM Mathematics" }
, and 1 o when four letters picked without replacement from {i: 1, v: 1, d: 2, o: 8, m: 2}. 16/1001 What is prob of picking 2 k when two letters picked without replacement from kwkwkkkwkkkkwk? 45/91 Four letters picked without replacement from {a: 4, y: 1, h: 5, x: 8}. Give prob of picking 1 y, 1 x, and 2 h. 4/153 Thre...
{ "pile_set_name": "DM Mathematics" }
9. 72 Calculate the common denominator of 12/7 and (-58)/12 + 16/24. 42 Suppose -2*p + 9*p = 154. Calculate the smallest common multiple of p and 10. 110 Let q(o) = -o**3 + 3*o**2 - 3*o + 3. Let m be q(2). Let c(p) = 10*p**2. What is the lowest common multiple of c(m) and 4? 20 Let o(n) = n + 195940. Let y be o(0). Let...
{ "pile_set_name": "DM Mathematics" }
ten thousand? 5460000 Round -0.00000200678 to seven decimal places. -0.000002 What is -0.006767462 rounded to three dps? -0.007 What is 0.000095881 rounded to six dps? 0.000096 Round 193.668 to the nearest ten. 190 What is -0.00183034 rounded to 4 decimal places? -0.0018 Round -46397110 to the nearest one hundred thou...
{ "pile_set_name": "DM Mathematics" }
39 in a, r, -4? a Let o = -17016/35 - -3406/7. Which is the nearest to -11/2? (a) 0 (b) o (c) -0.5 (d) 2 c Let h = -0.3 - -0.4. Let g = 898.7 - 959. Let l = g + 60. Which is the nearest to 1/2? (a) -3 (b) h (c) l b Let z = -0.02072 + 0.12072. Which is the closest to -1? (a) -1/15 (b) -0.9 (c) 1/6 (d) z b Le...
{ "pile_set_name": "DM Mathematics" }
(b) -2/9 (c) x a Let k = -0.1139 - -0.0139. Which is the fourth biggest value? (a) k (b) 1 (c) 14 (d) -0.3 d Let t = -0.1 - -0.3. Let b = t - -0.2. Let k = 3707/2 - 1856. What is the second smallest value in 5, k, b? b Suppose 14 + 6 = 4*s. Let d(y) be the third derivative of -y**5/60 + 7*y**4/24 + 3*y**3 + 7*y**2...
{ "pile_set_name": "DM Mathematics" }
hat comes next: -233, -248, -265, -284, -305? -328 What comes next: -168, -162, -156, -150? -144 What is the next term in -14, 5, 42, 103, 194, 321? 490 What comes next: -659, -668, -689, -728, -791, -884, -1013, -1184? -1403 What comes next: -5, -18, -25, -20, 3, 50? 127 What is the next term in 127, 250, 373, 496? 61...
{ "pile_set_name": "DM Mathematics" }
hat is the next term in -19380, -19419, -19458? -19497 What is next in 375, 1209, 2505, 4263, 6483? 9165 What is next in 39, 61, 95, 141, 199, 269, 351? 445 What is next in -2550, -5173, -7806, -10455, -13126, -15825? -18558 What is the next term in -927, -1814, -2701, -3588, -4475? -5362 What comes next: -537418, -537...
{ "pile_set_name": "DM Mathematics" }
Suppose -d + 3*g = -r, -2*d + g = -7*d + 10. What are the prime factors of d? 2 Let d = 11 - 5. Suppose -4*h - d = -6*h. Suppose x - 6*x = h*j - 53, -2*j + 2*x = -30. List the prime factors of j. 2 Let t be 2/(-3) + (-4)/12. Let a = t - -3. List the prime factors of a. 2 Let r(m) = m**2 - 9*m - 13. Let j be r(9). Let a...
{ "pile_set_name": "DM Mathematics" }
- 5. What is the units digit of w(-6)? 1 Let l(m) = m**2 + 16. Let i be l(0). Suppose 5*r - 2*v = 16, -4*r + 3*v - 6 = -i. Suppose 24 = 2*p - 3*c, -r*c - 9 - 37 = -5*p. What is the units digit of p? 6 Let f(v) = 7*v + 1. Let c be f(-1). What is the units digit of (-4)/c*21/2? 7 Suppose 4 = 4*v - k - 12, k = 0. Let z = ...
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in 802*p - 1611*p + 125*p**3 - 124*p**3 + 809*p. p**3 Collect the terms in -22*l + 53*l + 47*l. 78*l Collect the terms in -11 + 0*x + x + 2. x - 9 Collect the terms in 2*w**3 + w**3 - w**3 - 31*w**2. 2*w**3 - 31*w**2 Collect the terms in 6*o + 1 + 8*o - 5*o - 3. 9*o - 2 Collect the terms in -6*a + ...
{ "pile_set_name": "DM Mathematics" }
= d*y - 3*b, -19*y - 5*b = -22*y - 10 for y. -5 Let u be 0 - (1 + 0 - -48). Let r be ((-40)/25)/((-40)/(-700)). Let j = r - u. Solve 2*w = 2*o, -4*w - w - j = 2*o for o. -3 Suppose 48*l + 4*l = -8*l + 720. Solve -l*t = 5*j - 8*t - 22, 2*t - 10 = -2*j for j. 2 Suppose -q = -3*f + 1, 9*q - 6*q = 4*f + 7. Let z be (-1 + 0...
{ "pile_set_name": "DM Mathematics" }
c. 6 Suppose -3*o = 2*n - 5*n + 348, -5*o = -n + 104. Calculate the remainder when n is divided by 31. 26 Suppose 592 = 5*t - x - 2*x, -t + 4*x = -115. Calculate the remainder when t is divided by 30. 29 Suppose -2*f = -5*f + 9. What is the remainder when 33 is divided by f? 0 Suppose 2*l + 5*x = 46, 8*l - 115 = 3*l +...
{ "pile_set_name": "DM Mathematics" }
*10) and 4? 572 Suppose -5*v = p + 2*p - 35, -47 = -5*p + 3*v. Suppose 0 = 4*d - 80 - 112. Suppose d = -4*i + 7*i. What is the smallest common multiple of p and i? 80 Suppose 28*g - 868 = 1232. What is the lowest common multiple of g and 165? 825 What is the least common multiple of 53 - 50 - (1*-2 - 23) and 105? 420 S...
{ "pile_set_name": "DM Mathematics" }
921437 Calculate the least common multiple of 257607 and 135. 1288035 Calculate the least common multiple of 100713 and 1770. 1007130 Calculate the smallest common multiple of 47068 and 3444. 141204 Calculate the least common multiple of 32064 and 66. 352704 Find the common denominator of -53/207756 and 74/363573. 1454...
{ "pile_set_name": "DM Mathematics" }
multiple of 22? True Does 83 divide 17765626? False Is 9 a factor of 363009175? False Is 4 a factor of 121284306? False Is 11397216 a multiple of 16? True Is 98 a factor of 90412990? False Is 108 a factor of 4245516828? True Does 99 divide 5803083? True Is 2068 a factor of 43835396? True Does 10 divide 1412849970? True...
{ "pile_set_name": "DM Mathematics" }
617184ng to milligrams. 0.000005617184 How many years are there in seven quarters of a millennium? 1750 What is 3/25 of a litre in millilitres? 120 How many nanometers are there in 7.125918cm? 71259180 What is twenty-seven halves of a micrometer in nanometers? 13500 What is one tenth of a millennium in centuries? 1 Con...
{ "pile_set_name": "DM Mathematics" }
at is the hundred thousands digit of 412884? 4 What is the units digit of 1456084? 4 What is the ten thousands digit of 1846492? 4 What is the units digit of 3359030? 0 What is the tens digit of 363907? 0 What is the units digit of 6267259? 9 What is the millions digit of 1224646? 1 What is the thousands digit of 18841...
{ "pile_set_name": "DM Mathematics" }
= -0*r - f. Is r a multiple of 20? True Suppose -4*y + 50 = 3*h, -4*h - 66 = -4*y + h. Does 14 divide y? True Suppose -20 = 4*l - 140. Is 15 a factor of l? True Let p(m) = 3*m**2 + 2*m + 1. Let z be p(4). Suppose 4*l + 1 - z = 0. Suppose -t - t + l = 0. Is 3 a factor of t? False Suppose -6 - 9 = -3*a. Suppose 2*v + 2*...
{ "pile_set_name": "DM Mathematics" }
t from {i: 1, k: 1, w: 3, l: 5, x: 4}. 5/8008 Two letters picked without replacement from {a: 1, j: 3, p: 3, x: 1, q: 2, w: 2}. What is prob of sequence jw? 1/22 Three letters picked without replacement from {x: 2, j: 1}. What is prob of sequence xjx? 1/3 Three letters picked without replacement from {z: 3, f: 1, u: 3,...
{ "pile_set_name": "DM Mathematics" }
e) 0 b Which is the closest to 2? (a) 1 (b) -2253 (c) -13.3 (d) -9 a What is the closest to 4689 in -0.372, 4, 0? 4 Which is the nearest to 1? (a) 0.2 (b) 15 (c) -2/9 (d) 0.09 (e) -42.52 a Which is the closest to 124/751? (a) -1/4 (b) -3 (c) 4 a What is the nearest to -0.1 in 16, -32847, -3, 1/7, 8, 0? 0 Wh...
{ "pile_set_name": "DM Mathematics" }
s 1153195349 composite? True Is 43414095503 a prime number? True Is 41524109459 prime? False Is 2194673077 a composite number? True Is 3083856283 composite? False Is 1720385717 prime? False Is 30961858783 prime? True Is 16645766197 composite? True Is 7397375473 composite? False Is 773693149 a prime number? True Is 3347...
{ "pile_set_name": "DM Mathematics" }
or v? v Let w be (4/(-7))/(12/(-42)). Let u = -1775/2 + 890. Which is smaller: w or u? w Let f(w) be the third derivative of 5*w**4/12 - w**3/2 + 4*w**2. Let p be f(1). Which is greater: 31/4 or p? 31/4 Suppose 34 + 406 = 8*n. Let p = -53 + n. Is 3/4 >= p? False Suppose 0 = t - 0 - 2. Let r be 40/(-60)*(-21)/t. Is 8 a...
{ "pile_set_name": "DM Mathematics" }
3*d. Suppose 14 = 3*q - m, -5*q + 0*m + d*m + 23 = 0. Solve 0 = -a - q, a = 5*w - a - 20 for w. 2 Suppose -5*a - k + 39 = 0, 4*a + 0*k - 34 = 2*k. Solve m - b = 5, 0*b = -2*m + b + a for m. 3 Let f be 0/(-3) - -3 - 1. Solve -f*m + 1 = 4*o + 7, -5*m + 18 = -o for o. -3 Suppose 105 = 5*s + 35. Let y be (0 - 1)*2*-1. Sup...
{ "pile_set_name": "DM Mathematics" }
2 - 19*k**2 + 96*k + 10*k**3 to o + v*k**3 + g*k**2 + z*k and give z. -3 Express -10*k**2 + 29*k**2 - 74*k**2 - 205*k**2 as a + q*k**2 + v*k and give q. -260 Express 4*u**4 - 12*u**4 + 33964*u**3 - 33968*u**3 + 2*u - 3 in the form w*u**3 + o*u**2 + f*u + v + b*u**4 and give b. -8 Express 5*p**2 + 0*p**3 - 59 - p**3 + 9...
{ "pile_set_name": "DM Mathematics" }
at is the second derivative of -66350*p**4 - 217*p + 66324*p**4 + 273*p + 401*p + 6*p**2 wrt p? -312*p**2 + 12 Let x(g) be the second derivative of -24*g**8/7 + 47*g**4/6 - 88*g. Find the third derivative of x(v) wrt v. -23040*v**3 Let n(d) be the first derivative of 13*d**6 - 95*d**3 + 2*d + 415. What is the third der...
{ "pile_set_name": "DM Mathematics" }
a - 3150 for u. -111 Solve 13305*y - 13308*y - 352 = 16*i, 5*y - 88 = 4*i for y. 0 Solve 0 = 5*a + 6*u + 28, -2*u - 12 = -740*a + 741*a for a. 4 Solve 2*w = 5*p - 47, -98*p + 2*w + 92 = -78*p for p. 3 Solve 26*o + 5*x + 180 = 17*o, x - 60 = 3*o for o. -20 Solve 9*v - 2*f = -257, -44*f + 49 = 4*v - 47*f + 159 for v. -29...
{ "pile_set_name": "DM Mathematics" }
Let m be 4/28 + 316/p. Let d = -12 - m. List the prime factors of d. 3, 11 Let r(o) = o**3 + 3*o**2 + 6*o - 8. Let t(p) = -p**3 + 4*p**2 + p. Let d be t(4). What are the prime factors of r(d)? 2 Let d(o) = -o + 9. Let h be d(6). Suppose -10 = -h*k + k. Suppose k*f + 20 = -r, -f + 0*f + 20 = 5*r. What are the prime fac...
{ "pile_set_name": "DM Mathematics" }
255*s**2 + 49*s - 303. Give v(1). -31 Let y(z) = 114164*z - 228327. Determine y(2). 1 Let s(p) = 93*p**2 - 66*p + 175. Determine s(3). 814 Let s(m) = 5*m**3 + 15*m**2 - 45*m - 352. What is s(-6)? -622 Let p(q) = 152*q + 41081. Calculate p(-272). -263 Let b(u) = -28*u**2 - 5659*u + 16997. Give b(3). -232 Let n(x) = 5466...
{ "pile_set_name": "DM Mathematics" }
34 = -2*g - 5 - 27, 0 = 2*m - 18*g - 51 - 83 for m. 4 Solve -45*i - 34*i - 28*i + 9*i - 474 = -0*i + 4*m, -4*m + 16 = 0 for i. -5 Solve 0 = -4*j + 4 + 42 + 6, -2*d + 97 = 15*j - 100 for d. 1 Solve -5*r = t + 7, -1522*r + t = -1512*r + 8 for r. -1 Solve 27*y - 12*g - 7 = 15*y + 7*y + 40, 0 = -5*y - 4*g - 49 for y. -5 S...
{ "pile_set_name": "DM Mathematics" }
+ m**3 - 3*m**3). -96*m**3 Expand 2*q + 2*q + 2*q + (5*q - 7*q + 2 + 0)*(0 + 0 + 2). 2*q + 4 Expand (-4*l + l + 2*l)*(0*l**2 + l**2 - 2*l**2) - 6 + 6 + 3*l**3. 4*l**3 Expand (6 - 6 - 3*j)*(4 - 5 - 31*j + 23*j). 24*j**2 + 3*j Expand (-2*i**2 + 2*i**2 - i**3)*(-i**2 + 3*i**2 + 0*i**2) - 4*i**5 + 5*i**5 - 4*i**5 + 0*i**4 ...
{ "pile_set_name": "DM Mathematics" }
4)*(-138)/(-32)). -2/23 ((-28)/(-98)*49/7)/((-4)/712*4) -89 ((-156)/32)/((-7)/6*720/(-1120)) -13/2 (-27*(-36)/58320)/((-4)/10) -1/24 Calculate 7 + 92/(7820/(-561)). 2/5 What is the value of 1048788/14985 - (111 - 41)? -2/185 What is -40 + 7 + -5 + -8 - (-6 - -18)? -58 (36/150)/(-228*54/(-1080)) 2/95 What is the value o...
{ "pile_set_name": "DM Mathematics" }
ing order. 5, 1, 6/7, 0.4, 0.2 Sort 105/31, -2, 2/3 in increasing order. -2, 2/3, 105/31 Put 25, -0.02, 2, 1, -0.4 in ascending order. -0.4, -0.02, 1, 2, 25 Put 0.2, -181, -2/5, 1/7, -2 in descending order. 0.2, 1/7, -2/5, -2, -181 Sort 2, -3, 215 in descending order. 215, 2, -3 Put 0, 57, -5 in descending order. 57, 0...
{ "pile_set_name": "DM Mathematics" }
is g(v(m))? 8*m**2 Let t(j) = -2*j. Let d(y) = 22591*y**2. Determine t(d(z)). -45182*z**2 Let a(x) = -14*x. Let n(y) = -70*y - 70*y + 139*y. Let q(t) = -5*a(t) + 60*n(t). Let d(l) = -l. What is d(q(k))? -10*k Let u(m) = -2*m. Let o(n) = 67*n**2 + n + 104. What is u(o(t))? -134*t**2 - 2*t - 208 Let l(m) be the third der...
{ "pile_set_name": "DM Mathematics" }
tive of 0*p**3 - 1/12*p**4 + 0*p**5 + 0*p**6 + 0 + 1/105*p**7 + 0*p + p**2. Find the second derivative of m(n) wrt n. 24*n**2 Let j be (4 + -3)/((-3)/(-9)). What is the third derivative of -2*n**j + 5*n**2 - n**2 + n**2 + 0*n**3 wrt n? -12 Let s(p) be the second derivative of p**7/840 - p**5/30 - p**3 + 7*p. Let j(v) b...
{ "pile_set_name": "DM Mathematics" }
e remainder when 9128500 is divided by 1624? 1620 What is the remainder when 27695246 is divided by 16? 14 What is the remainder when 10681062 is divided by 322? 0 Calculate the remainder when 411744747 is divided by 3. 0 Calculate the remainder when 55938088 is divided by 4821. 25 Calculate the remainder when 59759679...
{ "pile_set_name": "DM Mathematics" }
when t is divided by i? 9 What is the remainder when 249 is divided by 358/716*(147 + 1 + 2)? 24 Let d(x) = -6*x - 64. Let r be d(-11). Suppose -2*k = -8 - r, 3*k + 146 = m. Calculate the remainder when m is divided by 40. 1 Let m = -9906 - -10036. What is the remainder when 2341 is divided by m? 1 Suppose -10 = 10*g,...
{ "pile_set_name": "DM Mathematics" }
709, 478937 List the prime factors of 38414692. 2, 23, 71, 5881 List the prime factors of 682202421. 3, 75800269 List the prime factors of 2065700209. 17, 121511777 What are the prime factors of 92564573? 47, 1969459 List the prime factors of 10637998. 2, 7, 73, 1487 List the prime factors of 1094876852. 2, 2693, 10164...
{ "pile_set_name": "DM Mathematics" }
*o. Determine x(d(y)). 14*y**4 + 114*y**2 + 232 Let z(o) = -5*o**2. Let t(x) = -15*x + 23. Let a(c) = -29*c + 39. Let g(s) = 4*a(s) - 7*t(s). Determine g(z(n)). 55*n**2 - 5 Let b(s) = 18753*s - 2397. Let u be (((-13)/(-39))/(-1))/((-1)/2397). Let d(z) = 141*z - 18. Let y(v) = u*d(v) - 6*b(v). Let n(l) = -3*l**2. What i...
{ "pile_set_name": "DM Mathematics" }
51+-474.523 120476.477 Calculate -113511184 - 0.4. -113511184.4 46.973453+-7.3 39.673453 What is 11.117069 + -1.3? 9.817069 What is -6702 take away 2933751? -2940453 Put together -198 and -425.892. -623.892 Calculate 0.984 - 559. -558.016 Sum -0.08 and 243.346818. 243.266818 What is -3.26 take away 233517? -233520.26 W...
{ "pile_set_name": "DM Mathematics" }
3. Let n(w) = -3*j(w) + 4*q(w). Give n(c(d)). -4*d Let n(g) be the third derivative of 7*g**6/360 + g**3/2 - 3*g**2. Let b(i) be the first derivative of n(i). Let c(q) = -q**2. What is c(b(x))? -49*x**4 Let y(u) be the first derivative of -u**2 + 0*u**4 + 0*u + 2 + 1/60*u**5 + 0*u**3. Let q(a) be the second derivative ...
{ "pile_set_name": "DM Mathematics" }
/35 Three letters picked without replacement from eeelevaeleealeeeqe. What is prob of picking 2 l and 1 a? 1/136 Two letters picked without replacement from ttaet. Give prob of picking 1 a and 1 e. 1/10 What is prob of picking 1 e, 1 m, and 1 h when three letters picked without replacement from mzhhemhjmzhhcze? 6/91 Wh...
{ "pile_set_name": "DM Mathematics" }
y 11423. 42 What is the remainder when 7856 is divided by 35? 16 What is the remainder when 2213 is divided by 250? 213 What is the remainder when 2395 is divided by 34? 15 What is the remainder when 93894 is divided by 22? 20 Calculate the remainder when 12411 is divided by 6192. 27 Calculate the remainder when 138123...
{ "pile_set_name": "DM Mathematics" }
- 9. What is the units digit of z? 2 Suppose 0 = 3*x - 2*x - 4. Let v(l) = 3*l - 118 + 2*l + 116. What is the tens digit of v(x)? 1 Suppose 268*z = 257*z + 10670. What is the tens digit of z? 7 Let q(f) = -f**3 - 2*f**2 + 19*f + 7. What is the hundreds digit of q(-9)? 4 Suppose -4*a + 2 + 2 = 0. Suppose 0 = -0*u - u -...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 94352801? 94352801 What are the prime factors of 543730931? 543730931 What are the prime factors of 226505180? 2, 5, 11, 1029569 List the prime factors of 52860471. 3, 101, 174457 What are the prime factors of 159835479? 3, 17, 3134029 List the prime factors of 46483988. 2, 37, 89, 3529 What are th...
{ "pile_set_name": "DM Mathematics" }
12/54 - 3/((-270)/(-650)). Let k = -1 - -2. What is the closest to k in 1, 2, v? 1 Let k = 75 - 527/7. Which is the closest to k? (a) 0 (b) 1/4 (c) -1 a Let o be 4 - (1368/357 - (-10)/35). What is the nearest to 3 in -2, o, 0, -1/2? 0 Let s = 1151/2965 + 7/593. Let d be 8/(-6) + (-2)/(-3). Let u be 0 - -2 - 9/5. Wha...
{ "pile_set_name": "DM Mathematics" }
p(-8). Let z(u) = 14*u + 5. Give z(a). 5 Let x(v) be the second derivative of v**4/12 - 7*v**3/6 + 9*v**2/2 - 17*v. Let n be x(6). Let a(f) = n*f - 4 - 8*f + 4. Give a(-2). 10 Let g(j) = j**2 - 10*j - 17. Suppose -2*c = 2*w + 34 - 56, 0 = -5*w - c + 55. What is g(w)? -6 Let d(v) = v**2 - 5. Let q(r) = -5 - 13 + 3 - 15*...
{ "pile_set_name": "DM Mathematics" }
, -3, -4 Put 20, 0, 1, -4 in decreasing order. 20, 1, 0, -4 Put 0.6, -1, 0.2 in descending order. 0.6, 0.2, -1 Sort -0.5, -0.2, 3/5, -3 in descending order. 3/5, -0.2, -0.5, -3 Put 1, -10, -2, -1 in increasing order. -10, -2, -1, 1 Put -0.3, -0.0918, 4 in decreasing order. 4, -0.0918, -0.3 Sort -3, 4, 17 in decreasing ...
{ "pile_set_name": "DM Mathematics" }
136*a in the form n*a + h and give n. 35 Rearrange -3*m**3 - 7*m - 2*m**2 + 6*m**3 + m - m**3 to the form n*m**2 + y*m + u*m**3 + d and give y. -6 Rearrange 5*c**3 + 8*c + c**3 + c**3 - 6*c to q + g*c**3 + d*c**2 + a*c and give a. 2 Rearrange (0*p - 3*p + 0*p + (3 + 0 - 4)*(-6*p + 10*p + 25*p))*(-p**3 - p + 3*p - p**3...
{ "pile_set_name": "DM Mathematics" }
in 151180, 151239, 151298, 151357, 151416? 151475 What is next in -771, -1752, -2769, -3840, -4983, -6216, -7557? -9024 What is the next term in -39836, -23409, -6982? 9445 What is next in 931298, 931294, 931270, 931214, 931114, 930958, 930734, 930430? 930034 What comes next: -180172, -720661, -1621472, -2882605? -450...
{ "pile_set_name": "DM Mathematics" }
erivative of -s - 3 - 3 + 6*s wrt s? 5 Let v(b) be the second derivative of -b**9/3024 + b**6/120 + b**3/2 + b. Let l(y) be the second derivative of v(y). Find the third derivative of l(k) wrt k. -60*k**2 Let a be 2*6*3/12. What is the third derivative of -6*u**5 + 3*u**5 - 4*u**2 + 3*u**6 + a*u**5 wrt u? 360*u**3 Let ...
{ "pile_set_name": "DM Mathematics" }
37. What is the second biggest value in a, u, -5, 1/4? 1/4 Let w(l) = -6*l**3 - 98*l**2 - 32*l + 3. Let v be w(-16). What is the second smallest value in -0.05, v, -3? -0.05 Let z = 1647 + -1760.1. Let v = 113 + z. Let h be 0 - -1 - (-2 + 2). What is the biggest value in h, 0.5, v? h Let r be (0/(-1))/(-12 + (4 - -11))...
{ "pile_set_name": "DM Mathematics" }
5*v**2 + v. Suppose -o + 10 = o. What is o*s(q) - 2*l(q)? q**3 - 2*q Let y(l) = -7*l**3 - 2*l**2 - 2. Let w(h) = h**3 - h + 1. What is -2*w(s) - y(s)? 5*s**3 + 2*s**2 + 2*s Let s(j) = 6*j**2 - j + 4. Let b(v) = 5*v**2 - v + 3. Let n(z) = -5*z - 66. Let h be n(-14). Determine h*b(t) - 3*s(t). 2*t**2 - t Let a(i) = -17*i...
{ "pile_set_name": "DM Mathematics" }
r). Let q(b) = 4039 - 4039 + b. What is q(y(d))? -d**2 + 50 Let s = 609/62 + -103/31. Let d(t) be the first derivative of s*t**2 - t + 7. Let h(y) = -y. Determine h(d(f)). -13*f + 1 Let k(p) = -7*p - 7*p - 18*p + 11*p. Let i(j) = 15*j**2. Determine k(i(f)). -315*f**2 Let r(a) = 18*a**2. Suppose -2*k + 4*w = -34, k - 66...
{ "pile_set_name": "DM Mathematics" }
/(t/(t*t**(-1/3)/t*t)*t*t))**(-2/5) assuming t is positive. t**(8/15) Simplify (s**(-8)/(s*s**(-2/69)))**(-4/11) assuming s is positive. s**(2476/759) Simplify (i/(i*i*i/((i*i*i**0*i*i*i)/i)))/(i*i/i**(8/7))*(i**(2/11))**1 assuming i is positive. i**(102/77) Simplify y**(-3/5)*y**(-1/2)*y*(y**(2/3))**(-2/75) assuming y...
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -f**5/20 - 1203*f**2. Let h(r) = 351*r**2 + 5*r. What is h(m(l))? 3159*l**4 - 15*l**2 Suppose -5*m + 2*m = 3*n, -2*n = 5*m - 9. Let u(l) = -l - l + 8*l - m*l. Let i(j) = -11*j. Let d(h) = 5*h. Let f(v) = -13*d(v) - 6*i(v). Calculate f(u(t)). 3*t Let m(n) = -5*n. Let v(k) be the first deriva...
{ "pile_set_name": "DM Mathematics" }
qrt(48)*-2). 5*sqrt(3) Simplify -6*2*(3 + (-5 + sqrt(700) + 0 - (2 + sqrt(700) + sqrt(700) + -2)))**2*2. -16896 - 960*sqrt(7) Simplify (sqrt(1372) + 6*-1*sqrt(1372) + sqrt(1372))*5 + 6*sqrt(1372)*-2*3. -784*sqrt(7) Simplify (2*sqrt(84)*-3 - -2*sqrt(84)*2)/(-5*sqrt(300)*1). 2*sqrt(7)/25 Simplify 4*((1*sqrt(480)*2)/(sqrt...
{ "pile_set_name": "DM Mathematics" }
True Is 402929167 a composite number? True Is 22826783033 a prime number? True Is 10693189919 composite? False Is 32779793 a prime number? True Is 18606671365 a prime number? False Is 2543589493 a prime number? False Is 65278075619 prime? True Is 19209641683 composite? False Is 3995178302 composite? True Is 1523754629 ...
{ "pile_set_name": "DM Mathematics" }
et s be 1/7 - (-54)/14. Suppose -4*n = -s*g - 124, -n + 3*g = -5*n + 131. Is n a multiple of 16? True Let l(s) = s**3 - 9*s**2 - 9*s - 5. Let q be l(10). Suppose 96 = -x + q*x. Is 12 a factor of x? True Suppose 0 = -2*s + 134 - 38. Does 11 divide s? False Let w(q) = 11*q + 5. Let r be w(7). Let k = -58 + r. Is 12 a fac...
{ "pile_set_name": "DM Mathematics" }
- 7/12*m**4. What is the third derivative of g(c) wrt c? 42 Find the third derivative of 5*m**2 - 26*m**4 + 7*m**2 - 4*m**2 + m**2 wrt m. -624*m Let z(r) be the first derivative of 3*r**6/2 + 2*r**3/3 - 5. Find the third derivative of z(c) wrt c. 540*c**2 Let q be (1/(-3))/(1/(-9)). Suppose 2*h + 4*v = -4 + 12, 0 = -q...
{ "pile_set_name": "DM Mathematics" }
qrt(704))**2 - sqrt(704)). -8*sqrt(11) + 484 Simplify ((-3 + -2*sqrt(11))*5 + -4 + -1)**2. 400*sqrt(11) + 1500 Simplify -1*(sqrt(972)*5)**2. -24300 Simplify (5*(sqrt(39)/sqrt(3) - sqrt(13))*-2)**2. 0 Simplify (3 + -2 + 2*sqrt(128))**2. 32*sqrt(2) + 513 Simplify 1*sqrt(180) - (sqrt(100)/(sqrt(5) - sqrt(45)))**2. -5 + 6*...
{ "pile_set_name": "DM Mathematics" }
32). -23 Let x(l) = -l + 139. Calculate x(28). 111 Let f(o) = -19*o + 36. Calculate f(8). -116 Let l(a) = -a**3 - 22*a**2 + 208*a + 176. Give l(-29). 31 Let n(u) = 7*u**3 - 2*u**2 + u - 3. Determine n(-2). -69 Let l(w) = 39*w - 5093. What is l(130)? -23 Let c(z) = 6*z**3 - 148*z**2 - 46*z + 27. Calculate c(25). 127 Let...
{ "pile_set_name": "DM Mathematics" }
10*a**2 + 7*a - 3. Let w(h) = -7*l(h) - 2*v(h). Is 15 a factor of w(-8)? True Let z(d) = -167*d + 3. Is 5 a factor of z(-1)? True Let w(b) = b. Let d(m) = -39*m + 1. Let f(x) = -d(x) - 4*w(x). Is f(5) a multiple of 29? True Suppose q + 4295 = 2*t, 7*t + 4*q + 10742 = 12*t. Is t a multiple of 61? False Let l be (3/(-12)...
{ "pile_set_name": "DM Mathematics" }
2*y What is the w'th term of -1285, -1292, -1299? -7*w - 1278 What is the k'th term of 326, 1333, 3024, 5399, 8458, 12201, 16628? 342*k**2 - 19*k + 3 What is the f'th term of -32, -39, -50, -65, -84, -107, -134? -2*f**2 - f - 29 What is the p'th term of -218, -220, -222, -224, -226, -228? -2*p - 216 What is the k'th te...
{ "pile_set_name": "DM Mathematics" }
-180/7, -143, 0.3? 0.3 What is the second biggest value in 20/721, 4, 2, 5/3? 2 What is the third smallest value in -2019, -30.4, 2/9? 2/9 Which is the second biggest value? (a) 3.1 (b) 2221544 (c) -5 a What is the sixth biggest value in 0.3, -2/5, 5, -25, -7/40, 4, -430? -25 What is the seventh smallest value in 1...
{ "pile_set_name": "DM Mathematics" }
form b*l**2 + v*l + d*l**3 + o + h*l**4 and give h. 14 Express -19*u + 34*u - 37*u in the form p*u + y and give p. -22 Rearrange 7*z**3 + 2*z**4 - 9*z**2 + 10*z**2 + 2*z**3 to n + i*z + j*z**3 + q*z**4 + t*z**2 and give q. 2 Express -424*q**2 + 425*q**2 + 0*q - q in the form c*q + v + u*q**2 and give c. -1 Rearrange (...
{ "pile_set_name": "DM Mathematics" }
7 - 20*a**2 + o*a**2 - 29 + 7 wrt a? 116*a Let d(g) = -g**2 - 17*g. Let r be d(-14). Find the first derivative of l**2 + 6*l**4 - r*l**4 + 49 - 146 wrt l. -144*l**3 + 2*l Let q(m) be the third derivative of -139*m**7/210 + m**6/60 - m**4/24 - 1510*m**3/3 - 661*m**2. Find the first derivative of q(g) wrt g. -556*g**3 + ...
{ "pile_set_name": "DM Mathematics" }
hich is the third biggest value? (a) -0.4 (b) -1/3 (c) j (d) t a Let l = 22474 + -22472. What is the fourth biggest value in -5, 0.3, l, 3.3, -0.4? -0.4 Let j(h) = -379*h + 3814. Let g be j(12). Which is the smallest value? (a) g (b) 0.2 (c) 5 a Let n = 147 - 152. Let x be 0 + ((-57)/9 - n). Which is the third b...
{ "pile_set_name": "DM Mathematics" }
522260610438 What is 4804940 - 37759445? -32954505 What is -356130 plus 84784? -271346 What is -9 plus -23831737312.9? -23831737321.9 What is -0.12 take away -16121747750? 16121747749.88 What is -0.12872 less than -115699905? -115699904.87128 What is 0.093832607831 plus 6? 6.093832607831 Calculate 2 - -4.10353402400505...
{ "pile_set_name": "DM Mathematics" }
st one hundred thousand. -200000 Let r = -0.13 + 7.13. Let s = -8.75 + r. What is s rounded to 1 dp? -1.8 Let u = -5240896 - -5240856.00027. Let t = u + 40. Round t to four decimal places. 0.0003 Let b = 78.5 - 65. Let k = b + -13.4843. What is k rounded to three dps? 0.016 Let f(h) = 14*h**2 - 4*h. Let x be f(-14). Su...
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 2145410 is divided by 87? 77 Calculate the remainder when 1981 is divided by 108. 37 Calculate the remainder when 3443 is divided by 240. 83 What is the remainder when 4349 is divided by 98? 37 What is the remainder when 646597 is divided by 26941? 13 Calculate the remainder when 28245 is divi...
{ "pile_set_name": "DM Mathematics" }
be a(0). What is the first derivative of -u + 7 + 1 + m**4 wrt m? 4*m**3 Let g(r) = 10*r**2 - 5*r - 23. Let n(f) = 9*f**2 - 4*f - 22. Let j(k) = 4*g(k) - 5*n(k). Differentiate j(b) with respect to b. -10*b Find the third derivative of -5*q**4 + 7*q**2 - q**4 - 2*q**2 + 0*q**4 wrt q. -144*q Let g be (-8)/(-14)*(-21)/(-6...
{ "pile_set_name": "DM Mathematics" }
-2408*d**3 Find the second derivative of 2*j**3*p**2 - 43*j**3*p - 3*j**2*p**2 - 2*j**2*p - 7815*j*p**2 - p**2 + 46*p wrt p. 4*j**3 - 6*j**2 - 15630*j - 2 What is the derivative of 154*m**2 - 56*m - 76? 308*m - 56 What is the third derivative of -1330058*s**3 - 2*s**2 + 1432*s + 132 wrt s? -7980348 What is the derivat...
{ "pile_set_name": "DM Mathematics" }
digit of x? 1 Let c(y) = y + 59. Suppose 0 = -7*g + 12*g + 100. What is the tens digit of c(g)? 3 Suppose 34*s - 115866 = -7*s. What is the thousands digit of s? 2 What is the tens digit of (-3788)/(-5) - -11 - 2/(-5)? 6 Suppose f - 2*f = -n - 151, -n = f - 141. What is the tens digit of f? 4 Suppose 3*u + v = 6*u + 2...
{ "pile_set_name": "DM Mathematics" }