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l, k. j, l, k Suppose -3*s - 41 = -4*n, 2*n - s - 26 = -7. Let t be -2 + (n*-1 - -3). Let q be (t/14)/((-3)/(-4)). Sort -5, 1/3, q. -5, q, 1/3 Let s = 6 - -3. Let m = s - 123. Let l = 574/5 + m. Sort -2, -2/5, l in increasing order. -2, -2/5, l Suppose -2*n - 57*a + 59*a + 16 = 0, 0 = -4*a. Let i(q) = -2*q - 3. Let p ...
{ "pile_set_name": "DM Mathematics" }
) = -n + 6. Let a be w(5). Let k = a - 0. Suppose -2*f - 3*p + 5 = -6*p, -3*p - k = -f. Solve -3*j + 26 = -f*i, 5*i + 28 - 7 = -2*j for j. 2 Suppose 0 = 5*u - 7 - 3. Suppose 0 = u*j + r - 9 + 2, -5*j + 18 = 3*r. Solve c = -3*p + 10, -2*p = j*c + 2*c + 2 for p. 4 Let q(l) = -5*l - l**3 + 18 - 9*l - 386*l**2 + 400*l**2. ...
{ "pile_set_name": "DM Mathematics" }
s of 13404. 2, 3, 1117 What are the prime factors of 16784? 2, 1049 What are the prime factors of 95710? 2, 5, 17, 563 What are the prime factors of 29681? 67, 443 What are the prime factors of 52614? 2, 3, 37, 79 What are the prime factors of 9288? 2, 3, 43 What are the prime factors of 385? 5, 7, 11 What are the prim...
{ "pile_set_name": "DM Mathematics" }
without replacement from qnqnqgqirqaqrqraq. What is prob of picking 1 n and 2 r? 3/340 Two letters picked without replacement from {p: 2, f: 4}. Give prob of picking 1 p and 1 f. 8/15 Three letters picked without replacement from ikuuuikiikiu. Give prob of picking 1 k and 2 i. 3/22 Calculate prob of picking 1 v, 1 k, a...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from ppzpzpzopzzzzzzzzzzz. 1/114 Calculate prob of picking 2 f when two letters picked without replacement from {f: 9, d: 11}. 18/95 What is prob of picking 2 z when two letters picked without replacement from {z: 3, o: 1}? 1/2 Three letters picked without replacement from {g: 3, b: 3, f: 3, e: 1, w:...
{ "pile_set_name": "DM Mathematics" }
-0.0881, 2 in descending order. 2, 0, -0.0881, -1/5, -1.1 Put 2/9, 5/116557, -1 in ascending order. -1, 5/116557, 2/9 Put 4, -23, 0, -154, -5, 3 in decreasing order. 4, 3, 0, -5, -23, -154 Sort 2, 117, -4, 163, 4, -7 in descending order. 163, 117, 4, 2, -4, -7 Put 3/2, 3/4, 2, 1/4, 188/5 in ascending order. 1/4, 3/4, ...
{ "pile_set_name": "DM Mathematics" }
l + 4*r - 718 = 158. Suppose 5*z = 4*a + 1061, -391 - 463 = -4*z - 2*a. Is l greater than or equal to z? True Let p(a) = a**3 + 20*a**2 - 3*a - 19. Let o be p(-20). Suppose o*r = 45*r - 384. Suppose -r = -2*l - 18. Is l at most as big as 40? True Let n be 3*4*(-46)/(-12). Suppose 3*t = -n + 4. Suppose 3*d + s = -35, 14...
{ "pile_set_name": "DM Mathematics" }
j(z). Put l, -4, 5 in decreasing order. 5, l, -4 Suppose 31 = -4*i + 11. Let z = 4 + i. Put z, -0.5, 1/5 in increasing order. z, -0.5, 1/5 Let s = 4 + -7. Let t = -34 - -35. Sort 4, s, t in increasing order. s, t, 4 Let s = 18 - 16. Suppose 5*p - s*p - 12 = 0. Suppose -4 = -p*o + 12. Sort 3, -2, o in ascending order. ...
{ "pile_set_name": "DM Mathematics" }
? 7 Suppose 68 = -9*k + 26*k. Suppose 0 = -s + 5, 19*n - 3493 = 16*n + k*s. What is the units digit of n? 1 Let r(m) be the second derivative of -m**5/20 - 5*m**4/6 - 7*m**3/3 - 10*m**2 + 7*m. Let w be r(-9). What is the units digit of w*(-20)/75*-3? 0 Let a(k) = -16*k - 22. Let u be (-88)/77 - (-2)/(-28)*-2. Let m be ...
{ "pile_set_name": "DM Mathematics" }
f 8? True Does 54 divide 94232? False Is 3676389 a multiple of 17? False Is 1547484 a multiple of 86? True Does 13 divide 184379? True Is 4 a factor of 149568? True Is 3533325 a multiple of 7? False Is 16837776 a multiple of 16? True Is 117171 a multiple of 9? True Is 25 a factor of 409400? True Is 6606160 a multiple o...
{ "pile_set_name": "DM Mathematics" }
+ -27297. Let u be 3 - (-12 - (-3 + 3)). Let w = 0 + u. Solve f = -5*j + 2*b - 9, b = 5*j + w for j. -2 Let r(z) = -3*z + 4. Let w = 65 + -65. Suppose w = 9*x + 7 + 2. Let y be r(x). Solve 0 = 2*s + 3*n + y - 2, -4*s - 2*n = 14 for s. -4 Let s(p) = -p**2 - 75*p + 874. Let z be s(10). Solve 4*g = -2*a - 2 + 18, 2*g - z ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {h: 2, d: 3}. 1/10 What is prob of picking 1 t and 2 r when three letters picked without replacement from rcurtertyecueeu? 6/455 What is prob of picking 1 a and 1 y when two letters picked without replacement from {l: 1, y: 6, v: 8, a: 1, c: 4}? 3/95 What is prob of picking 1 t, 1 x, and...
{ "pile_set_name": "DM Mathematics" }
51 What is the product of -5.023 and -729.7? 3665.2831 Calculate 0.3*443683.6. 133105.08 -3.1171 times 0.1 -0.31171 What is -0.1 times -6973455? 697345.5 Multiply -1930 and -999. 1928070 Calculate -130*15777. -2051010 120 times -26.8853 -3226.236 Multiply 5 and 2356553. 11782765 What is 4 times -196086.4? -784345.6 Pro...
{ "pile_set_name": "DM Mathematics" }
be -10*(-4)/(-10)*3. What is the units digit of (-142)/g + 5/30? 2 Suppose 5*r - w + 66 - 272 = 0, -2*w - 34 = -r. What is the tens digit of r? 4 Let n(m) = -m**3 + 8*m**2 - 3*m - 1. Let g be n(7). Let s = g + -8. Suppose -11 = -5*c + s. What is the units digit of c? 6 Let r(l) = -l**2 - 10*l + 2. What is the units dig...
{ "pile_set_name": "DM Mathematics" }
True Let n be 7*(-1)/(14/12). Let v(o) = -18*o - 530. Let b be v(-29). Is (-1940)/n - b/(-24) a composite number? True Suppose 96*a - 39939 = -z + 98*a, -3*z + 2*a + 119825 = 0. Is z a prime number? False Let g be -42*(17 + -18 + (-3)/(-2)). Let l(k) = -62*k + 25. Is l(g) a prime number? True Let j(c) = 87*c**2 + 45*c ...
{ "pile_set_name": "DM Mathematics" }
a) 0 (b) f (c) o c Suppose 3*d - 2*d + 3 = 0. Let l = -14.12 - -0.62. Let r = l - -13. Which is the third smallest value? (a) d (b) 2/9 (c) r b Let a = -15 - -15.5. Let z be 3/(-12) - (-34)/104. What is the third smallest value in a, 5, z? 5 Let i = -2.8 - -3. Let x be ((-6)/(-20))/((-12)/(-16)). Which is the seco...
{ "pile_set_name": "DM Mathematics" }
y. Suppose y = -p - p + 8. Let x(t) = 2*t**2 + 11*t + 7. Let a be x(-7). Calculate the highest common divisor of p and a. 4 Suppose 13*v = 7*v + 2064. Calculate the highest common factor of 258 and v. 86 Suppose 2*h + 2*h - 20 = 0. Suppose -g + h*k = 9 - 34, 5*g - 4*k = 41. Suppose -58 = -g*p + 7. Calculate the greates...
{ "pile_set_name": "DM Mathematics" }
*(-2770/1887) Simplify (((v/(v/v**39))/((v*v**(-3/2)/v)/v))/((v*v/(v/((v*v**(-18)*v)/v))*v)/((v**(-6/19)*v)/v*v)))**(3/13) assuming v is positive. v**(6519/494) Simplify (((o*o*o/o**2)/o)/o*o*o**(-3/13))**(-2/43)/((o**5/(o*o**(-7)))/(((o/(o*o**4))/o*o)/((o/(o*o**(-2/13)))/o*o*o))) assuming o is positive. o**(-9024/559)...
{ "pile_set_name": "DM Mathematics" }
284 Calculate the highest common divisor of 45377959 and 718. 359 What is the greatest common factor of 51314368 and 8064? 448 Calculate the greatest common divisor of 3038995 and 23125. 185 Calculate the highest common factor of 1267207 and 292. 73 What is the highest common factor of 285638764 and 12? 4 What is the ...
{ "pile_set_name": "DM Mathematics" }
.4? (a) 5 (b) -0.2 (c) j b Let h = -1639/2 + 820. Which is the closest to h? (a) -0.2 (b) 1 (c) -0.5 (d) -2/7 b Let s = 0.3 - -1.7. Let i = 4679 - 4684. Which is the nearest to 0.1? (a) s (b) i (c) 1 c Let k be 59/(-5) - (-418)/38 - (-4)/3. Which is the nearest to -0.1? (a) 1/32 (b) 1/4 (c) k (d) 5 a Let ...
{ "pile_set_name": "DM Mathematics" }
z**2 + 14*z + 50. Let i be u(-9). Solve 0*v - 2*k = 3*v - 1, 0 = -i*k + 10 for v. -1 Suppose z - 1 = -u + 2, -5*z - 9 = -3*u. Solve z*q + 3*p = -5*q - 8, 36 = -5*q + 4*p for q. -4 Let y = 22 - 19. Solve n = r - 3*r - 6, -2*r = -y*n + 22 for r. -5 Suppose -31 = 3*p + 4*s, 5*s + 36 = -p + 11. Let f = p + 9. Solve 2*g = ...
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from {w: 1, x: 2, y: 2, u: 4, a: 7}? 1/1820 What is prob of sequence cccc when four letters picked without replacement from ucccccuu? 1/14 Two letters picked without replacement from {j: 2, o: 1, z: 4, t: 8}. Give prob of sequence jt. 8/105 What is prob of sequence wwb when three l...
{ "pile_set_name": "DM Mathematics" }
at is 26 times -32? -832 Product of 0.3 and -0.277. -0.0831 Multiply -41 and 0.3. -12.3 Work out 0.164 * -1. -0.164 What is -0.4 times -0.47? 0.188 Calculate -0.2*65. -13 What is -9 times 0.07? -0.63 -287*-0.03 8.61 Calculate 418*5. 2090 Work out -0.14508 * 0.4. -0.058032 Multiply 34 and -307. -10438 Calculate 19*1. 19...
{ "pile_set_name": "DM Mathematics" }
mine h so that r(h) = 0. -2/5, 0, 5 Suppose -4*g + 15 = 3*w, 2*w + 6*g - 3*g = 11. Suppose 11*k + 1 = w. Let 0 + 0*z**2 + 0*z - 2/3*z**4 + 1/3*z**5 + k*z**3 = 0. Calculate z. 0, 2 Let w = -27753/7 + 3967. Let a be 4/8*64/14. Factor a*l + w*l**2 + 4/7. 4*(2*l + 1)**2/7 Let r(z) be the second derivative of -14/15*z**3 - ...
{ "pile_set_name": "DM Mathematics" }
s the third derivative of -175*f - 178*f + d*f + 166*f**2 - 59*f**3 wrt f? -354 Let x(u) be the third derivative of -61*u**6/24 - u**5/3 - 13*u**3/2 + 1776*u**2. What is the third derivative of x(m) wrt m? -1830 Let a = 4993/768 - 1/768. Let c(o) be the third derivative of -19/12*o**4 + 33*o**2 + 0*o + 0 + a*o**3. Diff...
{ "pile_set_name": "DM Mathematics" }
338? False Is 60 a factor of 103537? False Is 12 a factor of 433433? False Does 5 divide 409899? False Is 31072 a multiple of 32? True Is 67068 a multiple of 36? True Is 467955 a multiple of 184? False Does 16 divide 2306526? False Is 2516562 a multiple of 522? True Is 11151552 a multiple of 482? True Does 9 divide 67...
{ "pile_set_name": "DM Mathematics" }
ivative of -2*w**3/3 + 5*w**2/2 + 14*w - 13. Let y be z(8). Let g = y + 285. Is g a prime number? True Let a(q) be the third derivative of q**6/120 + q**5/5 - q**4/8 - 23*q**3/6 + 7*q**2. Is a(13) a prime number? False Suppose 378 = 2*l - 8*l. Let f be (-357)/l - 2/3. Suppose -3347 = -f*x + 2358. Is x prime? False Let ...
{ "pile_set_name": "DM Mathematics" }
Solve 552 = -5*b + d for b. -5 Suppose 44*q - 49*q = -5*i + 5, -2*q = 4*i - 28. Solve 95 = -18*g + i for g. -5 Suppose -5*z + 2*a + 875 = 0, -3*z + 673 = a + 159. Let r = z - 161. Solve r*o - 7*o = -10 for o. -2 Let b(y) = -y**2 - 13*y - 32. Let g be b(-6). Suppose v = 0, -5*v = -40*x + 42*x - g. Solve -4*w - 13 + x = ...
{ "pile_set_name": "DM Mathematics" }
he second derivative of -100*b**3 + 697*b. -600*b What is the second derivative of -43*i**2*l*w - 7*i**2 + 2*i*w - 43*i - l*w - l wrt i? -86*l*w - 14 What is the second derivative of -20*k**3 + 3*k**2*r**3 - k**2*r**2 + 58*k*r**3 + k*r**2 wrt k? -120*k + 6*r**3 - 2*r**2 What is the second derivative of -3*g**2*k**3 + 6...
{ "pile_set_name": "DM Mathematics" }
1/36 What is prob of sequence yib when three letters picked without replacement from {y: 5, f: 1, i: 5, b: 6}? 5/136 Two letters picked without replacement from {v: 6, d: 7}. What is prob of sequence vv? 5/26 Three letters picked without replacement from {z: 1, m: 2, e: 2, o: 1, b: 2, y: 1}. Give prob of sequence beo....
{ "pile_set_name": "DM Mathematics" }
3 - -23132492523709. 23132492523712 Put together -1247.5572 and 620280. 619032.4428 Put together 1238810 and 1937.088. 1240747.088 What is the distance between -113.58630462 and -38.44? 75.14630462 Work out 0.7019686969 - 252. -251.2980313031 -0.3+1568758296.156 1568758295.856 What is 0.47253194 less than 1613221? 1613...
{ "pile_set_name": "DM Mathematics" }
common factor of 45 and c. 15 Let k = 0 - -8. Let t(o) = o**2 - 8*o + 9. Let j be t(k). Calculate the greatest common factor of 6 and j. 3 Let y = -341 + 539. What is the greatest common divisor of 18 and y? 18 Let v = -16 - -22. Let w = v - -14. Suppose 0*l + w = l. What is the greatest common factor of l and 20? 20 L...
{ "pile_set_name": "DM Mathematics" }
-4*m**3 - 36*m**2 Collect the terms in 45*w**2 - w - 2*w + 8*w**2 - 2*w. 53*w**2 - 5*w Collect the terms in -822355312*f + 822355312*f - 10*f**3. -10*f**3 Collect the terms in 87*i + 0 - 5 + 52*i + 5 - 136*i. 3*i Collect the terms in 3 - 22 + 109*s**2 + 105*s**2 - 213*s**2 - 10. s**2 - 29 Collect the terms in 25*i**3 ...
{ "pile_set_name": "DM Mathematics" }
m of -768, -2753, -6058, -10677, -16604? r**3 - 666*r**2 + 6*r - 109 What is the b'th term of -3389, -3445, -3501, -3557, -3613? -56*b - 3333 What is the a'th term of 48965, 48971, 48977, 48983? 6*a + 48959 What is the m'th term of 132, 211, 284, 345, 388, 407, 396? -m**3 + 3*m**2 + 77*m + 53 What is the q'th term of -...
{ "pile_set_name": "DM Mathematics" }
+ 9 + 4*v - 2*v. Let s(h) = 2*h + 4. Calculate j*i(r) - 7*s(r). -2*r - 1 Let d(y) = -5*y**2 + 3 + 5 - y**2. Let u(h) = -2*h**2 + 3. Let g = -49 - -46. Let p be (-6)/9 - (-52)/6. Determine g*d(l) + p*u(l). 2*l**2 Let b(n) be the second derivative of n**4/4 + n**3/6 - 3*n**2/2 - 17*n. Let z(f) be the first derivative of ...
{ "pile_set_name": "DM Mathematics" }
a)/a)/a)/a**(-1/4) assuming a is positive. a**(33/4) Simplify (g/g**(1/4)*g)**(20/9)/((g*g/g**(-2/5))/(g/(g**(-1/2)*g))) assuming g is positive. g**(179/90) Simplify (c**(-2/7)/c)/(c/((c*(c/c**5)/c)/c*c*c)) assuming c is positive. c**(-37/7) Simplify ((i*(i/(i*i**2))/i)/i)/i**(2/3)*(i*i/(i/(((i/i**(-3))/i)/i)))/i**(-3/...
{ "pile_set_name": "DM Mathematics" }
rt(2) - sqrt(2)*2)). -sqrt(3)/4 Simplify (-2 + sqrt(78)/sqrt(6) + -2)**2. -8*sqrt(13) + 29 Simplify 3*1*sqrt(13) + -1. -1 + 3*sqrt(13) Simplify (sqrt(1188)*-2 - sqrt(1188))/(sqrt(108)*-2). 3*sqrt(11)/2 Simplify (sqrt(60) + sqrt(1500)*-3)/sqrt(12). -14*sqrt(5) Simplify (-2*(sqrt(200) - (sqrt(200)*-2 + sqrt(200))) - (1*s...
{ "pile_set_name": "DM Mathematics" }
e p. 3 Express -v + 2 + 0*v**3 + 4*v**3 - 2*v**2 + v**3 + 4*v in the form t + y*v + d*v**3 + k*v**2 and give y. 3 Rearrange -10*x**3 - 6*x**3 + 29274*x + 2 - 29281*x to w + v*x**3 + j*x + m*x**2 and give v. -16 Rearrange 68 - 3*j**3 + 103 - 173 + 6*j + 3*j + j**4 + 2*j**2 to t*j**2 + g + u*j + s*j**4 + c*j**3 and give ...
{ "pile_set_name": "DM Mathematics" }
*t. Let g be w(-3). Let k be g/(-3)*(-2)/4. Is k <= y? False Let o be (249/24)/((-6)/8). Let x = o + 14. Let s = 15 - 47/3. Does s = x? False Let o be (0 - 9/(-15)) + -1. Which is bigger: 3/5 or o? 3/5 Let c = 0.935 - 0.125. Which is smaller: 1 or c? c Let v(w) = -6*w**2 + 9*w**2 - 3*w**3 + 2*w**3 - 12*w + 10*w**2. Let...
{ "pile_set_name": "DM Mathematics" }
at is -125 (base 8) in base 10? -85 What is -32 (base 14) in base 8? -54 What is 2 (base 6) in base 7? 2 Convert e (base 15) to base 6. 22 What is 13 (base 7) in base 10? 10 What is 36 (base 16) in base 15? 39 Convert 13 (base 6) to base 11. 9 Convert -1c (base 13) to base 4. -121 What is 5 (base 12) in base 9? 5 Conve...
{ "pile_set_name": "DM Mathematics" }
6710 to the nearest integer? 144 What is 139713 to the power of 1/2, to the nearest integer? 374 What is 2628936 to the power of 1/3, to the nearest integer? 138 What is the square root of 225022 to the nearest integer? 474 What is the cube root of 15646450 to the nearest integer? 250 What is 859692 to the power of 1/4...
{ "pile_set_name": "DM Mathematics" }
7*h - 45. Let r be j(-7). Let k = 74 - r. Solve k = -g - q*g + 4 for g. 4 Let b = -5343 + 5364. Solve -30*j - b = 39 for j. -2 Let a = 52037 + -52034. Let k be 2/((-20)/11 + 2). Solve -a = k*i - 12*i for i. 3 Suppose -2*q - 12 = -26. Let m be (-18)/(-12) - 47/(-2). Suppose 25 = -5*i + 5*j, 5*j = 4*i - 0*i + m. Solve i ...
{ "pile_set_name": "DM Mathematics" }
vative of -5*j**3/6 + 5*j**2/2 + 3*j. Differentiate h(o) with respect to o. -5 Let n(y) = -3 - 8*y**2 + 4*y + 3*y - 8 + 3*y**2. Let g(s) = 3*s**2 - 4*s + 6. Let u(v) = 7*g(v) + 4*n(v). Find the first derivative of u(h) wrt h. 2*h Suppose 0 = -5*q - 5*s + 5, -4*q + 2 = -3*q + 2*s. Suppose a - 26 - 22 = q. What is the th...
{ "pile_set_name": "DM Mathematics" }
be 1/(-1) + 10/2. Suppose -4 = -4*b - 4*l, -2*b - u*l + l = 0. Let p = 2 + -2. Solve -2*h + 6 = j - b*j, 3*j - 2*h + 8 = p for j. -2 Let h(c) = c**3 + 10*c**2 - 12*c - 11. Let z be h(-11). Suppose b - 5*f + 2 - 7 = 0, z = 2*b + 4*f - 38. Solve 3*u - 1 + 2 = -4*x, 0 = 3*u - b for x. -4 Suppose 2*t - 150 = -6. Suppose 4*...
{ "pile_set_name": "DM Mathematics" }
+ 2*l + 14*l + 10*l. Calculate f*h(v) + 3*i(v). 5*v - 1 Let d(v) = -v - 9. Let n(h) = h - 1. Calculate -d(i) + 6*n(i). 7*i + 3 Let y(f) = -66*f**2 - 21*f + 21. Let b(j) = -13*j**2 - 659*j + 1315*j - 660*j - 1 + 5. Determine 21*b(r) - 4*y(r). -9*r**2 Let r(j) = -103*j - 7. Let z(b) = -51*b - 3. Give -2*r(q) + 5*z(q). -...
{ "pile_set_name": "DM Mathematics" }
o -0.1? (a) -2 (b) 2 (c) 2/3 c What is the closest to 0.1 in -2, -0.1, 1/6, 5? 1/6 What is the closest to -0.05 in -2, 3, 0.32, 4? 0.32 Which is the closest to -21? (a) 1 (b) 0 (c) -0.3 c What is the nearest to 194 in 1/2, 0.8, 2, 4/7? 2 What is the closest to 1/9 in 0.4, -822, -0.3? 0.4 What is the nearest to -5...
{ "pile_set_name": "DM Mathematics" }
lculate (-57931)/(-15245) - ((-5284)/345)/(-4). -2/69 Evaluate 2009/49 + 5 + -3. 43 What is (-516)/(-6321) - 21740/(-196)? 111 What is -2*(-371)/212 - (-1 + 0 - 12)? 33/2 What is the value of ((5/100)/(6/120))/((-74)/4)? -2/37 Evaluate (-385)/462*-24 + 34/(-10) - 2/(-5). 17 What is 28 - 82133/3105 - 14/10? 4/27 1056/39...
{ "pile_set_name": "DM Mathematics" }
erms in 45*x**3 + 53*x**3 - 100*x**3. -2*x**3 Collect the terms in -4*b**3 - 89*b + 89*b. -4*b**3 Collect the terms in -13 + 13 + 28*a**2. 28*a**2 Collect the terms in 130*g**2 + 175*g**2 - 350*g**2. -45*g**2 Collect the terms in 19*b - 4*b**3 + 2 - 2. -4*b**3 + 19*b Collect the terms in -34*w + 144*w - 33*w - 41*w - 3...
{ "pile_set_name": "DM Mathematics" }
nominator of t and i. 36 Let t = 25 + -289/10. What is the common denominator of t and -85/8? 40 Let v = -656/119 - -3/238. What is the common denominator of -91/12 and v? 12 Let m(n) = n + 4. Let w be m(-4). Suppose w*k + 4 = 2*k. Calculate the lowest common multiple of k and (-3)/(-6) - (-2)/4. 2 Let t = -2633 - -315...
{ "pile_set_name": "DM Mathematics" }
pose 5*j - 2*h = 2, 0 = -5*h - 13 + 33. Let b be 0 + j + 3/(-1). Let k be (-2)/(6/(2 - b)). Let g(l) = 14*l**3 - l. Determine g(k). -13 Let s be (70/4)/(1/2). Suppose -6*r + 37 = -s. Let m(o) = -o + 0*o**2 + 2*o + o**2 - 2*o**3 + r*o**3. What is m(-1)? -10 Let o(z) = 38*z + 14. Let b(q) = -24*q - 7. Let r(w) = -5*b(w) ...
{ "pile_set_name": "DM Mathematics" }
by 623? 610 What is the remainder when 116615 is divided by 686? 681 What is the remainder when 8164 is divided by 1629? 19 Calculate the remainder when 7140 is divided by 154. 56 Calculate the remainder when 3330 is divided by 222. 0 Calculate the remainder when 210039 is divided by 761. 3 Calculate the remainder whe...
{ "pile_set_name": "DM Mathematics" }
rob of sequence aw. 1/56 What is prob of sequence tmm when three letters picked without replacement from {t: 2, c: 6, p: 8, m: 3}? 2/969 Calculate prob of sequence eqr when three letters picked without replacement from rqmmeqmer. 1/63 Calculate prob of sequence lgll when four letters picked without replacement from ggl...
{ "pile_set_name": "DM Mathematics" }
t value? (a) 0 (b) 1/3 (c) -23 b Which is the smallest value? (a) 87 (b) -5 (c) 2/13 (d) -3 (e) 0.2 b Which is the smallest value? (a) 3/5 (b) -1/4 (c) -0.309 (d) -2/7 c What is the fourth smallest value in -1, -1/4, -8, 0.2, -5? -1/4 What is the fourth biggest value in 0.03, 30, -0.1, -0.2, 5? -0.1 What is...
{ "pile_set_name": "DM Mathematics" }
+ t + 24 = 4*l. Solve -l*n = -7*n - 20 for n. -5 Let h(p) = -p - 3. Let x be (2 + 0 - -2) + -13. Let g be h(x). Solve 0 = -z + g*z for z. 0 Suppose 0 = -2*h - 7*h + 234. Solve 1 = 5*n + h for n. -5 Let l = -27 - -17. Let x = -131 - -124. Let u = x - l. Solve i = -u*i for i. 0 Let i be (-1 - -2) + (2 - -5). Let m(k) = ...
{ "pile_set_name": "DM Mathematics" }
Calculate z(o(u)). -12*u**2 Let m(s) = -4508*s**2. Let v(h) = 2*h**2. Calculate m(v(n)). -18032*n**4 Let n(l) = 2*l**2. Let v(w) = 2*w**2 + 3300. Give v(n(t)). 8*t**4 + 3300 Let l(b) = 8 - 4*b + 5*b - 8. Let c(v) be the first derivative of 2*v**3/3 - 4. Give l(c(w)). 2*w**2 Let q(i) = -15*i**2. Let a(h) = 80*h - 1. Giv...
{ "pile_set_name": "DM Mathematics" }
, -2*v = -3*z - 0 + 1. Let f be r(z). Suppose d = -f*d + 6. What is the units digit of d? 6 Let l = 24 + -4. Let y = -12 + l. What is the units digit of 18/4*y/12? 3 Let d = -1 - -1. Suppose 3*b + 4 = -2. Let r = d - b. What is the units digit of r? 2 Let f = -10 - -11. What is the units digit of (-3 + f)*(-20)/2? 0 Le...
{ "pile_set_name": "DM Mathematics" }
aller: 2/27 or m? m Let n(h) = h**3 + 7*h**2 + h + 6. Let s be n(-7). Let j be (2/(-44))/((-5)/(-60)). Let q = j + 20/77. Which is greater: q or s? q Let w(q) = q**3 + q**2 - 8*q + 15. Let m be w(-4). Which is smaller: 2/689 or m? m Let b = -12.63 + 12.7. Is -3/2 at most as big as b? True Let q be -3 + (-4)/(-4) + 7. S...
{ "pile_set_name": "DM Mathematics" }
.50711 How many millimeters are there in 39.83231 micrometers? 0.03983231 Convert 543038.1 millennia to decades. 54303810 How many nanograms are there in 1.126603 milligrams? 1126603 What is seven eighths of a litre in millilitres? 875 What is fourty-five quarters of a litre in millilitres? 11250 What is three fifths o...
{ "pile_set_name": "DM Mathematics" }
9 - (-17 + 39)). 24 Calculate 19 - (-14 + 7 - -20). 6 Evaluate 13 + -6 - (5 - (-9 - 4)). -11 Calculate (155 - 152) + 14 + -4. 13 What is the value of 412 + -431 + 40 + 2? 23 What is the value of 2 + (4 - 11 - 1 - -1) + 6? 1 Calculate 23 + 8 + (-25 - -14) + 4. 24 Evaluate -1 - (1 + -7 - (13 + -7 + -11)). 0 What is the ...
{ "pile_set_name": "DM Mathematics" }
1/2 Suppose -2*a = -7*a + 25. What is the closest to -0.1 in -0.5, -2, a? -0.5 Let u be (1 - 2 - 0)*(-5 + 4). What is the nearest to 4 in -0.2, u, 1/2? u Let y = 18 + -14. Which is the nearest to -2/3? (a) y (b) 2/3 (c) -5 b Let l be (2/3)/((-4)/(-6)). Suppose 0 = -4*q + 2*q + 56. Let n be 22/28 - 8/q. What is the ...
{ "pile_set_name": "DM Mathematics" }
remainder when 228 is divided by n? 21 Let y(f) = -3*f**3 + f**2 + 4. Let x be y(3). Suppose -191 + 147 = -p + 2*a, -5*p - 3*a + 155 = 0. Calculate the remainder when (-4 - -1)*1 - x is divided by p. 31 Let s(n) be the first derivative of 2*n**2 + 2*n + 40. What is the remainder when 135 is divided by s(11)? 43 Let c(b...
{ "pile_set_name": "DM Mathematics" }
t a multiple of 18? False Is (1584/60)/((-1)/(-15)) a multiple of 36? True Let w(a) = -a**3 - 5*a**2 - 3*a - 4. Let y = 15 + -20. Let d be w(y). Let i = 64 + d. Is 15 a factor of i? True Suppose 0 = 20*s - 25850 + 1370. Does 68 divide s? True Suppose 4 = 2*s - 2. Suppose u = s*u - 12. Let r(p) = 2*p**2 - 6*p + 8. Is r...
{ "pile_set_name": "DM Mathematics" }
-104631, -209266, -313901, -418536, -523171, -627806? -104635*p + 4 What is the g'th term of 948, 977, 1026, 1101, 1208, 1353, 1542, 1781? g**3 + 4*g**2 + 10*g + 933 What is the o'th term of 295, 108, -77, -260, -441? o**2 - 190*o + 484 What is the z'th term of -23538, -23518, -23492, -23460, -23422, -23378, -23328? 3...
{ "pile_set_name": "DM Mathematics" }
4 Let n(m) = m**2 - 5*m - 16. Let j be n(0). Let p be -22*12/j + 6/(-12). Solve p = 3*i + i for i. 4 Let q(l) = 11*l**2 + 41*l - 189. Let x be q(-7). Solve 0 = -16*f + 37*f - x for f. 3 Suppose 8*f = 3*f - 315. Let q = f + 63. Suppose l - 12 = -q. Solve 0 = o + 2*o - l for o. 4 Let v(r) = -r**3 + 4*r**2 - 2*r - 3. Let ...
{ "pile_set_name": "DM Mathematics" }
t r = 0.23 + v. Let b = -0.12989 + r. What is b rounded to 5 decimal places? 0.00011 Let v = 71.6 + -74. Let c = 2.40047 + v. Round c to 3 decimal places. 0 Let k = 4815.94 - 4839. What is k rounded to the nearest integer? -23 Let h = -40.28 + 0.28. Let x = h - -40.227. Let d = x - 0.227000433. What is d rounded to 7 d...
{ "pile_set_name": "DM Mathematics" }
822965476. Let f = 37165536.0963 - o. Let b = -1763 + f. Round b to 6 dps. -0.000007 Suppose -31*z + 41*z = 40. Suppose -g - 309990 = z*g - 5*u, -5*u = 5*g + 310010. What is g rounded to the nearest one hundred thousand? -100000 Let y = 32410649 - 22098649. What is y rounded to the nearest 1000000? 10000000 Let o = -39...
{ "pile_set_name": "DM Mathematics" }
6.66 - 62.66. Which is the nearest to -2/253? (a) 0.1 (b) -3/5 (c) u a Let o = -19062 - -38125/2. Which is the closest to -5? (a) 0.1 (b) 3/8 (c) 37 (d) o a Let p = 0.66 - 0.06. Let h = 99.98 + 1.02. Let x = -100 + h. What is the closest to p in 2/5, x, -1? 2/5 Let q = 24 - 26. Let x = 64 + q. Let m = -66 + x. W...
{ "pile_set_name": "DM Mathematics" }
ue? (a) 1.1 (b) 2/7 (c) -1.019 c Which is the fourth smallest value? (a) 0.707 (b) -4 (c) -3/8 (d) -3/7 a What is the fourth smallest value in 1/3, 5, -2/13, -0.05, 24/139? 1/3 What is the second biggest value in -2/11, -3, -1, 23, 2/39, 1? 1 What is the smallest value in -4/7, -10627, -2, 1/6? -10627 Which is t...
{ "pile_set_name": "DM Mathematics" }
a is positive. a**(52/63) Simplify (n**(2/5)*n)**(-41/2)/(n**0/n)**(-11/2) assuming n is positive. n**(-171/5) Simplify (t**(3/4)/(t**(-7/2)*t))**(-1/12) assuming t is positive. t**(-13/48) Simplify j**(-5)*j/((j**(-1/10)*j)/j)*(j*j**1)/j*((j/j**(1/5))/j)/j*j assuming j is positive. j**(-31/10) Simplify ((i*i*i/(i*i**(...
{ "pile_set_name": "DM Mathematics" }
nder when 2441 is divided by 6. 5 What is the remainder when 252 is divided by 9? 0 Calculate the remainder when 30 is divided by 11. 8 Calculate the remainder when 127 is divided by 4. 3 Calculate the remainder when 1313 is divided by 47. 44 What is the remainder when 89 is divided by 6? 5 Calculate the remainder when...
{ "pile_set_name": "DM Mathematics" }
-39561/5. Let s = 0 + 0.5. Let h = 0.2 - s. What is the closest to 2 in h, k, -1/6? k Let v = 200 + -185. Let n be (33/55)/(v/(-10)). Which is the closest to 0.1? (a) -0.2 (b) -2/9 (c) n a Let n = -23 - -22.5. Let m = 957/5 - 191. Let f be 38/70 - (-12)/20. What is the closest to m in -0.3, n, f? -0.3 Let g(l) = 64...
{ "pile_set_name": "DM Mathematics" }
ive. f**(-90) Simplify (l*l/(l*l/(l*l**(2/3))))**14*l**(-5)/l*l/(l*l**5)*l assuming l is positive. l**(40/3) Simplify (r**(4/5))**(-11/3) assuming r is positive. r**(-44/15) Simplify ((t**(-4)/t)/t**(-10))**(-3/22) assuming t is positive. t**(-15/22) Simplify (o/(o/((o/(o/(o*o/(o**(9/5)*o)))*o)/o))*o)/(o**(2/9)/o)*o**(...
{ "pile_set_name": "DM Mathematics" }
h = -1 - -1. Put 1, f, h in decreasing order. 1, h, f Let z = -0.291 + 158.291. Let f = z - 130. Sort 2, 0.5, f in increasing order. 0.5, 2, f Let z be 0/(-1) - 486/648. Let p be -4*-1*(-1)/2. Let k be 12/40*4/p. Put z, -0.02, k in descending order. -0.02, k, z Suppose -z + 3*k - 4 = 0, 2*k - 13 = -5*z + 6*k. Sort z, ...
{ "pile_set_name": "DM Mathematics" }
13, 50 Find n such that -2*n**4/7 - 11152*n**3/7 - 55726*n**2/7 - 89144*n/7 - 44568/7 = 0. -5571, -2, -1 Factor -1489538*r**3/21 + 47672120*r**2/21 - 220936*r/21 + 256/21. -2*(r - 32)*(863*r - 2)**2/21 Factor -4*k**2 - 16416*k + 49284. -4*(k - 3)*(k + 4107) Factor -2*k**3 + 486*k**2 + 978*k + 490. -2*(k - 245)*(k + 1)*...
{ "pile_set_name": "DM Mathematics" }
x + 7*x - 3*l - 24 for x. 4 Solve -3*a = -0*a + 3*s - 21, -4*a = 3*s - 26 for a. 5 Solve 4*x = 7*a - 10*a + 2, 5*a - 14 = 4*x for a. 2 Solve -3*u = -0*u + 9, -5*u = 3*b + 18 for b. -1 Solve 8 = 2*h - 2*s, 6 = -4*s + 2 for h. 3 Solve 9 = -2*w - m, 57*m = 3*w + 54*m + 9 for w. -4 Solve -5*h + 4*g - 6*g = -8, -8 = -3*h - ...
{ "pile_set_name": "DM Mathematics" }
Let c(m) = -5*r(m) + 2*s(m). Suppose 3*y - 3*a = -12, -26*y + 21*y + 4*a - 23 = 0. What is c(y)? -4 Let m = 5 - 14. Let s(t) = 658*t + 5. Let d(u) = -164*u - 3. Let i(j) = 4*d(j) + s(j). Determine i(m). -25 Let c(u) = 989*u - 974. Let s be c(1). Let f(a) = -20*a + 302. What is f(s)? 2 Let t be 9/(-3) - (1 - (8 - 13)). ...
{ "pile_set_name": "DM Mathematics" }
o**(1/31)/(o*o**14*o) assuming o is positive. o**(-495/31) Simplify h**(1/13)/h**16 assuming h is positive. h**(-207/13) Simplify ((m*m*m/(m*m**(1/3)*m*m)*m)**25)**46 assuming m is positive. m**(2300/3) Simplify ((c*c**(-5/4)/c*c)/(c/(c/(c*c**(-2/13))*c)))**(-31) assuming c is positive. c**(155/52) Simplify q/q**(-10)*...
{ "pile_set_name": "DM Mathematics" }
f (0 - h) + (21 - 2)? 1 Let b be (3 - 1)/((-3)/(-6)). Suppose 4*w - 40 = -t, -5*t + 0*w + b*w = -104. What is the tens digit of t? 2 Let m = 9 - 14. Let g = m + 8. What is the units digit of g? 3 Suppose 0 = 3*o + 2*o - 160. Suppose -3*w - w = -o. What is the units digit of w? 8 What is the tens digit of 0 - 0 - (-211 ...
{ "pile_set_name": "DM Mathematics" }
81, -5*l + 3*u + 929 = 0. Let g = -53 + l. What are the prime factors of g? 131 Let c(i) = 34*i**2 - 6*i - 5 - 14*i**2 + 2*i**2. List the prime factors of c(-3). 211 Suppose 5*v + 26 = 3*j - 3, 2*j - 3*v = 19. Let u be (j - 4) + -4 + 10. Suppose u*r - 6*r = 56. What are the prime factors of r? 2, 7 Let d(b) = -b**3 + ...
{ "pile_set_name": "DM Mathematics" }
ate (684/2565)/((42/(-18))/(-7)). 4/5 What is the value of (24*21*(-11)/495)/(116/(-290))? 28 Evaluate (5/(-6))/(1670/(-228456)). 114 (32382/2430 - 13) + (-16)/(-360)*-9 -2/27 What is 11/(539/(-14))*18221/124944? -1/24 Calculate (5/15*33)/(-20 + 21) - -37. 48 Calculate 650/(-1560)*45/(-25). 3/4 (945/(-99) - -9)/(218/(-...
{ "pile_set_name": "DM Mathematics" }
earrange -4*v**2 + 2*v**2 + 279 - 271 to f + n*v + i*v**2 and give f. 8 Express (-5 + 2*j + 5)*(0 + 0 - 1) + (-3*j + 4*j + 0*j)*(0 + 0 - 2) - 9 - 3*j + 9 in the form i + m*j and give m. -7 Express (z + 2 - 2)*(0*z**3 + 9*z**3 + 3*z**3) + 3*z**4 - 4*z**4 - 3*z**4 as g + d*z + h*z**4 + l*z**2 + y*z**3 and give g. 0 Expre...
{ "pile_set_name": "DM Mathematics" }
ctor of 684500 and 222? 74 What is the greatest common divisor of 449 and 124822? 449 Calculate the greatest common divisor of 1712 and 83728. 16 What is the highest common divisor of 35796 and 57? 57 What is the greatest common factor of 60 and 340380? 60 What is the greatest common divisor of 15 and 909375? 15 What i...
{ "pile_set_name": "DM Mathematics" }
8.7. Let y = -0.2214 + c. Round y to seven decimal places. -0.0000021 Suppose a + 3*x + 2 = 19, 0 = a - 3*x + 13. Let j(l) = 2*l - 60*l**a + 16*l**2 + 47 - 13*l. Let z be j(5). What is z rounded to the nearest 100? -1100 Let u be (-4)/(-22) + -98*1662/(-66). Let x be (-10)/(-5)*(u/8 - 3). Let g = x - -3389. Round g to ...
{ "pile_set_name": "DM Mathematics" }
- 812*m**3 - 5*m**2 - 2*m**4 - 4*m - 2 to b*m + p + a*m**2 + d*m**4 + r*m**3 and give a. -5 Rearrange 10*q**3 - 20961*q**2 - 2*q**4 - 57*q**3 + 3*q + 20961*q**2 to i*q**2 + w*q**4 + f + d*q + z*q**3 and give z. -47 Rearrange o + 7*o - 9*o + 0*o - 29 to the form r + x*o and give x. -1 Rearrange (-2*q + 2*q + 2*q)*(-2 - ...
{ "pile_set_name": "DM Mathematics" }
Four letters picked without replacement from fffnnnf. What is prob of sequence fnfn? 3/35 Three letters picked without replacement from {l: 8, z: 2, n: 2}. Give prob of sequence lln. 14/165 Three letters picked without replacement from {q: 11, a: 1, g: 2, r: 2}. Give prob of sequence raq. 11/1680 What is prob of sequen...
{ "pile_set_name": "DM Mathematics" }
rob of sequence vvv when three letters picked without replacement from vvwvvvvwvvvv. 6/11 Two letters picked without replacement from rrrpgsprrrspyrrpppr. Give prob of sequence yg. 1/342 What is prob of sequence ccd when three letters picked without replacement from yddvydvddccv? 1/132 What is prob of sequence ix when ...
{ "pile_set_name": "DM Mathematics" }
11 Let h(u) = -11*u. Let j be h(-1). Let n be (-1)/5 - ((-305)/25 + 1). Calculate the greatest common divisor of n and j. 11 Let z(l) = -l**2 + 4*l + 2. Let m be z(5). Let a be ((-18)/m - 3) + 69. What is the greatest common factor of 8 and a? 8 Let m be (-6)/15 - (-3)/(-5). Let q be 0/7 - (1 - m). Let g be (q - -1)*(-...
{ "pile_set_name": "DM Mathematics" }
olve 0 = -590*f + 908*f + 5724 for f. -18 Solve 4*c = 21*c + 12*c + 319 for c. -11 Solve -23313 + 23289 = -3*s for s. 8 Solve 1186*i + 1685 = 849*i for i. -5 Solve 837 + 327 = 117*s + 77*s for s. 6 Solve 522*k = -109*k - 19561 for k. -31 Solve -5*p = -37*p + 4*p for p. 0 Solve -32*o = -42*o - 130*o - 1120 for o. -8 Sol...
{ "pile_set_name": "DM Mathematics" }
smallest value in -69/2, 0.4, 0.03, -3, 0.5, 0.09? -3 Which is the fifth smallest value? (a) -2/13 (b) 0.038 (c) -4 (d) -2/127 (e) 47 e Which is the fifth biggest value? (a) -2/9 (b) 0.1 (c) -2 (d) -141 (e) -1 d Which is the biggest value? (a) 4 (b) 1/4 (c) 7 (d) -3.8 (e) -2 c Which is the biggest value...
{ "pile_set_name": "DM Mathematics" }
- 3*v + 4*v + 0*v - 5*v. What is the tens digit of u(-3)? 1 Suppose -4*v - o + 3*o + 72 = 0, 6 = -3*o. What is the units digit of v? 7 Let f(z) = 241*z - 2. Let h be f(-4). What is the units digit of h/(-49) - (-2)/7? 0 Let u(b) = -b + 1. Let s be u(1). Suppose -5*m - j + 42 = s, m + j = 4 + 6. What is the units digit ...
{ "pile_set_name": "DM Mathematics" }
/18). Suppose -3*a + 9*a = o. Solve -a*y - 15 = 2*y for y. -3 Suppose 34 + 6 = -4*w. Let n(a) = -3*a - 3. Let l be n(3). Let t = w - l. Solve -t*j - 9 = -5*j for j. 3 Let k = 367 - 365. Solve -2*y + y = -k for y. 2 Let k(t) = -15*t + 92. Let x be k(6). Solve 15*v - 13*v = x for v. 1 Let f be (-3)/(-18)*-3*(-8)/2. Suppo...
{ "pile_set_name": "DM Mathematics" }
by -12? -5 Divide 2 by -93. -2/93 -114 divided by -114 1 -111 divided by 5 -111/5 What is 6222 divided by 51? 122 What is 7 divided by 24? 7/24 Divide -18 by -3. 6 1 divided by 114 1/114 2081 divided by -1 -2081 Divide 1231 by -4. -1231/4 Divide 72 by 6. 12 Divide 2828 by -707. -4 What is -1623 divided by -5? 1623/5 0...
{ "pile_set_name": "DM Mathematics" }
(e) -391 e Which is the second biggest value? (a) -3 (b) -0.1 (c) 0.1 (d) 5 (e) -1 c Which is the fourth smallest value? (a) 0.4 (b) 2/1443 (c) 3 (d) -3/2 c Which is the fourth biggest value? (a) -0.44 (b) 0.5 (c) -3 (d) -5 d What is the second smallest value in -11, -7, -2, 2/7? -7 What is the biggest val...
{ "pile_set_name": "DM Mathematics" }
ided by -37 3836 1761 divided by 739 1761/739 -49825 divided by 83 -49825/83 Divide 744897 by -248299. -3 What is -255 divided by 1459? -255/1459 Divide 713596 by -178399. -4 Calculate -3 divided by -1029245. 3/1029245 -33753 divided by 39 -11251/13 -253458 divided by 42243 -6 769 divided by -8 -769/8 What is -34973 di...
{ "pile_set_name": "DM Mathematics" }
+ 2/13)/(-1). Let q be 4 + r + 3 + 19899993. What is q rounded to the nearest one million? 20000000 Let t = 1423.2657 - 1423. Let i = t - 0.251. Round i to 3 decimal places. 0.015 Let a = 9577.8964 - 9584. Let v = 6.1 + a. Round v to 3 decimal places. -0.004 Let k = 2.1427518 + -0.3528728. Let o = k - 1.79. What is o r...
{ "pile_set_name": "DM Mathematics" }
same value? False Let l = 2 - -1. Let a be (-13)/(-1) + l*-1. Let f be (-13)/21 - a/(-35). Which is smaller: 0 or f? f Let q be ((-3)/9)/((-22)/36). Which is smaller: q or -2? -2 Let t = 20.1999 - 0.0299. Let y = -20 + t. Which is smaller: 1/3 or y? y Suppose 5*i - 18 + 6 = -4*k, -4*k + 12 = -4*i. Which is bigger: 2/7...
{ "pile_set_name": "DM Mathematics" }
000, 21479? 20812 What comes next: 344, 1114, 2398, 4196, 6508, 9334, 12674? 16528 What comes next: 115, 296, 477, 658, 839? 1020 What is the next term in 1275, 1341, 1451, 1605, 1803, 2045, 2331? 2661 What comes next: 337, 1385, 3131, 5575, 8717, 12557? 17095 What is next in 90, 328, 716, 1254, 1942, 2780? 3768 What c...
{ "pile_set_name": "DM Mathematics" }
two letters picked without replacement from {u: 8, v: 1, z: 7, b: 2}? 7/306 Calculate prob of sequence bl when two letters picked without replacement from {r: 1, t: 1, l: 1, b: 1, k: 1}. 1/20 Four letters picked without replacement from nlnyyccycyn. What is prob of sequence ylyy? 1/330 What is prob of sequence yg when...
{ "pile_set_name": "DM Mathematics" }
19*d + 7/39*d**3 - 1/78*d**4. Factor m(i). -2*(i - 5)*(i - 2)/13 Let a be 5 + (-866)/(-136) - (-657*(-16)/(-816) - -13). Find x such that -3/4*x**4 + 213/4*x**2 + 57/2 + a*x**3 + 279/4*x = 0. -2, -1, 19 Let y(v) be the second derivative of -123/40*v**5 + 0 - 94*v - 1/40*v**6 - 410*v**3 - 1761/16*v**4 - 600*v**2. What i...
{ "pile_set_name": "DM Mathematics" }
f is positive. f**(58408/51) Simplify (((x*x**(-19/3))/(x/(x/(x/x**(-16/9)))))/(x*(x*x*((x*x**(-17))/x)/x)/x*(x*((x/(x*x**(-2/9)))/x)/x*x)/x))**(-10) assuming x is positive. x**(-260/3) Simplify ((j**(-1/4))**48/((j*j**(1/2)*j)/j*j*j**(-2/3)))/((j*j**(-1)*j**(3/5))/(j/(j/(j*j**(-2/3)))*j)**(-2/83)) assuming j is posit...
{ "pile_set_name": "DM Mathematics" }