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the nearest to 1? (a) r (b) k (c) z c Let j = -6.2 + 1.2. What is the nearest to -1 in -5/3, 5, j? -5/3 Let q = 1.03 - 0.03. Let v = 0.09 + -1.39. Let t = v + q. What is the closest to 0.2 in -3/4, 1, t? t Let d = -20 + 20. What is the nearest to d in -1/2, 5, -0.3? -0.3 Let f = 40 - 41. Which is the nearest to -1? ...
{ "pile_set_name": "DM Mathematics" }
30 + 21*n**4/4 + 4*n**2 + 35. Let a(l) be the second derivative of k(l). Factor a(y). -2*y**2*(y - 2) Let s = 998909 - 62929913/63. Let b = 322/9 - s. Determine d, given that 24/7*d**3 - 32/7*d - 220/7*d**4 + 16*d**2 + 0 - b*d**5 = 0. -2, -1, 0, 2/5 Let o(m) be the third derivative of 1/15*m**5 + 24*m**3 + 2*m**4 + 0*m...
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 127976 and 4981? 17 Calculate the highest common divisor of 41085 and 25425888. 249 What is the highest common factor of 22 and 1287681747? 11 What is the greatest common factor of 321065650 and 1850? 1850 What is the highest common divisor of 12005550 and 8100? 1350 Calculate the high...
{ "pile_set_name": "DM Mathematics" }
3, 743 What are the prime factors of 11923008? 2, 3, 62099 What are the prime factors of 152889793? 7, 21841399 List the prime factors of 570112036. 2, 13, 843361 List the prime factors of 3519761826. 2, 3, 7, 37, 323567 List the prime factors of 464718699. 3, 51635411 What are the prime factors of 108615201? 3, 362050...
{ "pile_set_name": "DM Mathematics" }
value? (a) -0.07 (b) -5 (c) 1 (d) -3999 b What is the sixth smallest value in 3/2, 74, -1/2, 48, -15, -5? 74 Which is the second biggest value? (a) 1041 (b) 2/57 (c) 3 (d) -0.4 c What is the second biggest value in -4, 60, 8/3? 8/3 What is the biggest value in 2/5, 2/17, 0.3, 6, 18/41, -0.1? 6 What is the fourt...
{ "pile_set_name": "DM Mathematics" }
of 2970283 to the nearest integer? 6 What is the seventh root of 106918 to the nearest integer? 5 What is the cube root of 402524 to the nearest integer? 74 What is the square root of 774874 to the nearest integer? 880 What is 1305211 to the power of 1/3, to the nearest integer? 109 What is the sixth root of 558064 to...
{ "pile_set_name": "DM Mathematics" }
7*-279478 38288.486 98 times -0.5815 -56.987 Work out 26035866 * -2. -52071732 Calculate -1675674*-7.08. 11863771.92 What is -308667 times 0.1141? -35218.9047 Calculate -1*17931210. -17931210 Product of 1060533 and -0.4. -424213.2 Calculate -0.01*125850870. -1258508.7 Multiply 7051399 and -5. -35256995 Product of 0.078...
{ "pile_set_name": "DM Mathematics" }
-1). -14*sqrt(3)/5 Simplify (-2*(((sqrt(72) - (-2 + 2*sqrt(72))) + (sqrt(72) - sqrt(72)*-1*-6))*6 + 3))**2. -25920*sqrt(2) + 374148 Simplify (sqrt(264)/(sqrt(54) - sqrt(864)))/((sqrt(64)/sqrt(4) + sqrt(16) - sqrt(16)) + sqrt(4) - sqrt(24)/(sqrt(24)/sqrt(4))). -sqrt(11)/18 Simplify (1*(1*sqrt(5) + 5 - sqrt(50)/(sqrt(30)...
{ "pile_set_name": "DM Mathematics" }
-22946, -45873, -68798, -91721? n**2 - 22930*n - 17 What is the u'th term of 660, 847, 1034? 187*u + 473 What is the d'th term of 7170, 14380, 21588, 28794, 35998? -d**2 + 7213*d - 42 What is the q'th term of -264, 676, 3214, 8148, 16276? 133*q**3 + q**2 + 6*q - 404 What is the n'th term of -716, -691, -616, -467, -22...
{ "pile_set_name": "DM Mathematics" }
f: 1, b: 1, k: 2, j: 1, z: 2}? 1/14 Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {k: 3, y: 15}. 15/272 Three letters picked without replacement from kkkkkkkkhkkkhhkkkhhk. Give prob of picking 2 k and 1 h. 35/76 Two letters picked without replacement from uuavyuyryytruuuuv. Gi...
{ "pile_set_name": "DM Mathematics" }
is the x'th term of 22, 68, 144, 250, 386, 552, 748? 15*x**2 + x + 6 What is the o'th term of 95, 182, 327, 530, 791, 1110? 29*o**2 + 66 What is the f'th term of 2, 7, 12, 17? 5*f - 3 What is the l'th term of 9, 27, 65, 129, 225, 359, 537? l**3 + 4*l**2 - l + 5 What is the i'th term of -18, -49, -100, -171? -10*i**2 -...
{ "pile_set_name": "DM Mathematics" }
ime factors of 94059? 3, 7, 1493 List the prime factors of 108380. 2, 5, 5419 What are the prime factors of 468? 2, 3, 13 List the prime factors of 1017. 3, 113 List the prime factors of 2926. 2, 7, 11, 19 What are the prime factors of 6535? 5, 1307 List the prime factors of 11819. 53, 223 List the prime factors of 804...
{ "pile_set_name": "DM Mathematics" }
e (-2*(-4)/10)/(102/510). Is u > x? False Suppose -2*o + 14 = i + o, 0 = -3*i + 2*o - 2. Suppose 5*d = 10, -5*b + 2*d + 143 = i. Which is greater: 30 or b? 30 Let o = 22 + -21.68. Let g = -0.22 + o. Let q = 1 + -1. Which is greater: q or g? g Let b(m) = -5*m + m**2 + 4*m + 2*m. Let z be b(1). Suppose -5*p = 20*v - 21*v...
{ "pile_set_name": "DM Mathematics" }
be o(-1). Suppose 23 = -s*u + 207. Let i = u + -23. Solve 2*q + i = 5*z, z - 11 = -4*z - q for z. 3 Let u(a) = -2*a + 3. Let v be u(-3). Suppose -11 = -q - v. Solve -q*r + 3*g = -10, 2*g - 4 + 15 = -3*r for r. -1 Suppose -5*a = -0*a - 10. Let t(d) = 9*d - 6. Let p be t(1). Solve a*s = p*m + 21, m + 3*s - 7*s = -17 for ...
{ "pile_set_name": "DM Mathematics" }
3 Solve 0 = -11*f + 9*f + 4 for f. 2 Solve -19*n = -3*n + 48 for n. -3 Solve 40*r - 17*r + 69 = 0 for r. -3 Solve -60 + 300 = -30*w for w. -8 Solve 34 - 49 = -5*p for p. 3 Solve a = 6*a + 5 for a. -1 Solve 2*k = 24 - 20 for k. 2 Solve -407*u + 26 = -394*u for u. 2 Solve 0 = -22*j - 3*j - 125 for j. -5 Solve -165*d = -2...
{ "pile_set_name": "DM Mathematics" }
6 What comes next: -11, -23, -29, -23, 1? 49 What is the next term in 26, 51, 104, 197, 342, 551? 836 What is next in -36, -68, -102, -138, -176, -216, -258? -302 What is the next term in 170, 686, 1544, 2744? 4286 What is the next term in -4, -94, -346, -844, -1672? -2914 What is the next term in -11, 12, 117, 346, 74...
{ "pile_set_name": "DM Mathematics" }
ase 15) in base 7? 216652355 Convert -8651610 (base 9) to base 2. -10001101100110001101011 Convert -127313 (base 8) to base 6. -543055 What is -303311012 (base 4) in base 8? -636506 Convert -122311112 (base 4) to base 9. -176682 -1415124 (base 6) to base 3 -11001222221 Convert b04cf (base 16) to base 4. 2300103033 -146...
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 961971441? 3, 29, 1223, 9041 List the prime factors of 133540071. 3, 7, 811, 7841 What are the prime factors of 18950969? 199, 95231 What are the prime factors of 1844902194? 2, 3, 31, 1783, 5563 List the prime factors of 1594912419. 3, 177212491 What are the prime factors of 121575695? 5...
{ "pile_set_name": "DM Mathematics" }
hat is t(s(z))? -2*z**2 Let v(l) = -2*l**2. Let k(d) = -7*d**2 - 136. Determine k(v(j)). -28*j**4 - 136 Let b(i) = -i**2 - 5. Let p(h) = -h**2 - 7. Let s(v) = 7*b(v) - 5*p(v). Let o(c) be the first derivative of 0*c - 1 + 1/2*c**2. What is s(o(u))? -2*u**2 Let d(v) = 3914*v**2. Let y(n) = -n. Calculate d(y(o)). 3914*o*...
{ "pile_set_name": "DM Mathematics" }
3*b**3 - 10*b**2 - 2 Let q(o) = 9*o**2 - 2*o + 6*o**2 - 465 - 4*o**2 + 461 - 6*o. Let b(x) = -5*x**2 + 4*x + 2. What is 13*b(s) + 6*q(s)? s**2 + 4*s + 2 Let g(c) = -5*c**2 + 4*c. Let k(n) be the second derivative of -5*n**4/12 + n**3/2 - 461*n. Give -3*g(d) + 4*k(d). -5*d**2 Let i(g) be the third derivative of 0 + 4*g*...
{ "pile_set_name": "DM Mathematics" }
i - s + 16. Let y = 1 + i. Suppose 2*f - 8 = 0, 25 = 4*q - q + y*f. Let h(d) = d**3 - 4*d**2 + 3. Determine h(q). -6 Suppose -3*v - 16 = 2*o - o, -v - 5*o - 10 = 0. Let m(a) = -a**3 - 6*a**2 - 4*a + 2. Give m(v). -3 Let j(z) = -5 + 6 - 2 - 3*z. Determine j(3). -10 Let h(w) = 2*w - 7. Suppose -5*r + 1 = 26. Give h(r). -...
{ "pile_set_name": "DM Mathematics" }
-660499 to the nearest one thousand. -660000 Round -23.8925 to the nearest integer. -24 Round -0.00000669127 to 7 decimal places. -0.0000067 Round -0.03312303 to 3 dps. -0.033 Round 320.3677 to 1 dp. 320.4 What is 0.010248435 rounded to 6 decimal places? 0.010248 What is -1109357.5 rounded to the nearest one hundred t...
{ "pile_set_name": "DM Mathematics" }
Is 31 a factor of (-2216)/v - n/18? True Let u = -36 - -40. Does 42 divide 1082/8 + 3/u? False Let u = 4 - 2. Let s be 12/(-8)*(-1 - -1 - 2). Suppose u*i = 5*b - s*i - 240, -i - 92 = -2*b. Is 12 a factor of b? False Does 46 divide (0 + 2)*7650/60? False Does 3 divide (-3582)/(-39) - 2/(-13)? False Does 9 divide ((-102)...
{ "pile_set_name": "DM Mathematics" }
6)/(-27). Let v be ((-2)/t)/((-12)/(-48)). Which is the second biggest value? (a) -3 (b) v (c) -0.2 b Suppose -2*n + 16 = -4*m, -5*n = -6*m + 8*m + 20. Let k be 2/12 + (-26)/48. Which is the second smallest value? (a) 0.06 (b) k (c) n b Let k = -44 - -88. Let n = -43.96 + k. Let b = -4.96 - n. What is the fourth ...
{ "pile_set_name": "DM Mathematics" }
Round -3746000 to the nearest 1000000. -4000000 What is 400780 rounded to the nearest one thousand? 401000 Round 0.21707 to two dps. 0.22 What is 36082000 rounded to the nearest one hundred thousand? 36100000 What is 2.497 rounded to the nearest integer? 2 Round 0.01219 to four dps. 0.0122 Round 0.12011 to two decimal...
{ "pile_set_name": "DM Mathematics" }
he nearest integer. 27 Let r = 380944.999964 + -380955. Let x = 0.3 + 9.7. Let n = x + r. Round n to five decimal places. -0.00004 Let t(g) = -67 + 67 - 25000*g. Suppose 27 - 3 = -2*d. Let u be t(d). What is u rounded to the nearest 100000? 300000 Suppose -5*v + 2752885 = 5*k, -3*v + 858758 = 2*k - 792966. Round v to t...
{ "pile_set_name": "DM Mathematics" }
c)))**(-46)/(c**(1/4))**(-20))/((c*c**(-3/2))/c**(3/8))**(-29/5) assuming c is positive. c**(-34981/280) Simplify (((b/b**(-3/2))/b*b)**(-3/2)*((b*b*b/(((b*b**(-2/23))/b)/b))/b)/(b*b/(b**(6/11)*b)))**8 assuming b is positive. b**(-2262/253) Simplify ((l/l**(-9)*l*l/(l*(l**(-1/17)/l)/l)*(l*l/l**(-2/3))**29)**(25/3))**(-...
{ "pile_set_name": "DM Mathematics" }
False Let n be 42/4*3/(-18). Let y(c) = -c**3 + 16*c**2 + 16*c - 1. Let f be y(17). Is n less than f? False Suppose -197*m = -216*m - 741. Which is smaller: -198/5 or m? -198/5 Let a = 9276 - 9277. Which is smaller: -0.0477 or a? a Suppose 0 = 2*a - 2. Let p(x) = 7*x - 3. Let z be p(a). Let l be (4 - 9) + z - 9. Is l ...
{ "pile_set_name": "DM Mathematics" }
3 + 0) to the form i*d + c and give i. 93 Rearrange 568*g**3 - 3 + 3*g + 137120*g**2 + 1 - 137118*g**2 to y*g**2 + w*g + i*g**3 + o and give i. 568 Express 196*y**3 + 241*y**3 + 2*y**2 + 6 - 406*y**3 as x*y**2 + h*y**3 + u*y + p and give x. 2 Rearrange (-2 - 2 + 2)*(7*j - 2*j + 6*j + 2)*(367*j - 134*j - 69*j) to l*j**2...
{ "pile_set_name": "DM Mathematics" }
of 528? 5 What is the hundreds digit of 12205? 2 What is the thousands digit of 3276? 3 What is the units digit of 196? 6 What is the hundreds digit of 15683? 6 What is the units digit of 243? 3 What is the units digit of 987? 7 What is the units digit of 23576? 6 What is the hundreds digit of 19536? 5 What is the hun...
{ "pile_set_name": "DM Mathematics" }
2, 5, 7 Let s = 65 - 71. What are the prime factors of 1*(s - (-1254 - -1))? 29, 43 Let g(w) = -3*w**3 - 10*w**2 - w + 6. Let c be g(-3). What are the prime factors of -514*(8 + -6)*(c - 1)? 2, 257 Let d be 2 - (-1885 - (6 + -4)). Let k = 2749 - d. What are the prime factors of k? 2, 5, 43 Suppose -25*s = -32406 - 1062...
{ "pile_set_name": "DM Mathematics" }
- h**3/6 - 51*h**2. Let j(p) = -3*p**3 - 77*p**2 + 23*p - 77. Let y be j(-26). Give n(y). 19 Let o(g) be the first derivative of 19*g**3/3 + g**2/2 - 7*g + 3469. Give o(3). 167 Suppose 3*b - b + 28 = 4*o, o + b - 4 = 0. Let l(m) = 4*m - m**2 + 5*m - 4 + 4*m**2 - o*m. Let v be -2*(3 - (-68)/(-24))*9. What is l(v)? 14 S...
{ "pile_set_name": "DM Mathematics" }
ge -4*m - 2*m**2 - m**2 + 3*m + 1 + 6*m**2 to q*m + c*m**2 + x and give x. 1 Rearrange (l - 2*l + 5 + 3)*(-139*l - 20*l**3 + 139*l) to the form j*l**4 + c*l**3 + u*l + f*l**2 + m and give c. -160 Rearrange -f**3 - 2 + 0*f**3 - 11*f + 13*f to k*f**2 + s*f**3 + b + a*f and give s. -1 Express (-1 + 5 - 3)*(-5*y - 24*y + 0...
{ "pile_set_name": "DM Mathematics" }
- 2*d**5/5 - 26*d**4/9 - 160*d**3/27 + 686*d. Factor t(y). 2*y*(y - 40)*(y + 2)**2/9 Let l(k) be the third derivative of k**8/3360 - k**7/252 + k**6/45 - k**5/15 + k**4/4 + 2*k**2. Let f(s) be the second derivative of l(s). Factor f(i). 2*(i - 2)**2*(i - 1) Suppose 2*q = -2*r - 6, 0 = -2*q + 1 - 7. Let o(j) be the thir...
{ "pile_set_name": "DM Mathematics" }
actors of 5682404? 2, 7, 13, 67, 233 What are the prime factors of 195885341? 307, 638063 List the prime factors of 380675446. 2, 71, 2680813 List the prime factors of 3143753178. 2, 3, 29, 18067547 List the prime factors of 827252371. 11, 79, 951959 List the prime factors of 1881300820. 2, 5, 7, 149, 90187 What are th...
{ "pile_set_name": "DM Mathematics" }
+ 4905. What is the common denominator of q and -1 + -3 + (-174)/(-72)? 36 Calculate the common denominator of (-3 - 2035/(-682))/((-2)/152) and 29/4. 124 Let o be 631*(48/10)/4. Let v = 30703/40 - o. What is the common denominator of v and -95/8? 8 Let k = 85 + -38. What is the lowest common multiple of k and 14*(-8)...
{ "pile_set_name": "DM Mathematics" }
o**5/180 + o**4/48 + o**3/36 + 6*o**2. Suppose k(m) = 0. What is m? -1, 1 Let k(n) = n**4 - n**2 - n. Let o(s) = -3*s**4 + 2*s**3 + s**2 + 5*s. Let c(f) = 10*k(f) + 2*o(f). Factor c(b). 4*b**2*(b - 1)*(b + 2) Let w = -110 - -112. Find p such that 1/2*p**4 + 0 - p - 5*p**w + 7/4*p**5 - 21/4*p**3 = 0. -1, -2/7, 0, 2 Let ...
{ "pile_set_name": "DM Mathematics" }
f 36842, 36883, 36960, 37085, 37270, 37527? 2*s**3 + 6*s**2 + 9*s + 36825 What is the t'th term of -2959743, -5919486, -8879229, -11838972, -14798715? -2959743*t What is the a'th term of 18589, 37200, 55811, 74422? 18611*a - 22 What is the b'th term of -29724, -29733, -29736, -29727, -29700, -29649, -29568? b**3 - 3*b*...
{ "pile_set_name": "DM Mathematics" }
*u**2 + 2/5 - 8/5*u**a. -2*(u - 1)*(2*u + 1)**2/5 Let c(l) be the third derivative of -l**2 + 0*l**3 + 0 - 9/40*l**6 + 0*l + 0*l**4 + 1/10*l**5. Solve c(v) = 0. 0, 2/9 Let k(j) = -j**3 - 7*j**2 - 7*j + 6. Let x be 2 + -1 - (6 - -1). Let u be k(x). Solve -18*f**3 - 10*f**5 + u*f**4 + 4*f**4 + 8*f**4 + 4*f**2 = 0 for f. ...
{ "pile_set_name": "DM Mathematics" }
(6/(-8))/((-72)/384). Let w be 12/90*(2/y + 2). Let n = -230 - -3908/17. What is the closest to w in n, -2/7, 0? 0 Let w be 48/21 - (-2 + 4). Let d = 0.35 + 1.05. Let i = 4.4 - d. Which is the nearest to w? (a) -3/7 (b) 4/5 (c) i b Let k = 4 - 3. Let n = k - 1.1. Let t = -438 + 437.9. What is the nearest to t in 2, ...
{ "pile_set_name": "DM Mathematics" }
False Let t be (-892)/(7/2 + 15/(-6)). Does 15 divide (-72)/(-54) - t/6? True Suppose 3*g = 3*x + 313 + 3773, -5*g + 6802 = -x. Is 8 a factor of g? True Let u = -51 + 88. Suppose -a = -j - u, 4*j + 0*a = -5*a - 175. Let l = -22 - j. Is l a multiple of 5? False Suppose -2*t + 224*y - 222*y = -7068, -7072 = -2*t + 3*y. D...
{ "pile_set_name": "DM Mathematics" }
-4)*o/(-2). Let a = s - 15. What is the units digit of a? 8 Suppose -2*i = -18 - 6. What is the tens digit of i? 1 Let m(q) = -q**3 + 7*q**2 - 3*q + 2. What is the units digit of m(4)? 8 Suppose 0 = -2*p + 3*r + r - 58, p + 2*r + 37 = 0. Let a = -8 - p. What is the tens digit of a? 2 Let v = 5 - 7. What is the units d...
{ "pile_set_name": "DM Mathematics" }
- 9. Determine d(3). -33 Let p(f) = f**2 + 2*f - 20. Calculate p(6). 28 Let k(h) = h**2 + 16*h + 30. What is k(-15)? 15 Let c(p) = p**3 + p + 1. Calculate c(0). 1 Let m(s) = 63*s - 308. What is m(5)? 7 Let h(r) = -r**3 - 5*r**2 + 18*r - 45. Give h(-8). 3 Let i(u) = u**3 - 16*u**2 - u + 20. Give i(16). 4 Let d(p) = -2*...
{ "pile_set_name": "DM Mathematics" }
6 = 4*z. Suppose 12*q + 10 = u*q. Is 2 a factor of (q - -1)*(-8 - -1)? False Let q = 166 - 158. Does 3 divide q? False Let t(n) = -9*n**3 - 16*n**2 + 27*n - 19. Let q(y) = 5*y**3 + 8*y**2 - 14*y + 10. Let i(d) = 11*q(d) + 6*t(d). Does 8 divide i(9)? False Suppose -4*o = 974 - 3182. Is o a multiple of 8? True Let l = 31...
{ "pile_set_name": "DM Mathematics" }
composite? False Let i(l) = l**3 + 6*l**2 - 9*l - 3. Let a be (6/5)/(5/(-25)). Is i(a) composite? True Suppose -3*h - 12 = 0, p - 2352 = -3*p + h. Is p a composite number? False Let h = 26 + 43. Let x = 8 + h. Is x composite? True Suppose -2*t + 2*o = -t - 3, 0 = o - 1. Suppose -12 = -t*f + 93. Is f composite? True Le...
{ "pile_set_name": "DM Mathematics" }
hat is the difference between -41 and 149? 190 What is 3 less than 13.5? 10.5 Put together 62441 and 0.5. 62441.5 0.13 + 3607 3607.13 What is 0.086769 take away -41? 41.086769 What is -212335 - -5? -212330 Work out -1943 + -4. -1947 Calculate -0.0157624 - 0.8. -0.8157624 What is 0.327 - -33? 33.327 What is -0.201 - 29....
{ "pile_set_name": "DM Mathematics" }
936 Rearrange -2*f**3 + 13*f**4 + 43*f**4 - 53*f**4 - 5*f**2 + f to k*f**3 + h*f**4 + p*f + t*f**2 + x and give t. -5 Rearrange (8 + 8 - 7)*(16*z - z + 0*z - 2*z**3) to t*z**2 + i*z**3 + k*z + x and give k. 135 Rearrange ((2 - 2 + 3)*(4 - 5 + 3) - 8 + 1 - 3)*(d**2 + 0*d**2 + 3*d**2) to the form k*d**2 + u + r*d and gi...
{ "pile_set_name": "DM Mathematics" }
8. 4*(z - 18)**2*(z + 4)*(z + 27) Find n, given that -4*n**3 - 8800*n**2 + 17612*n - 8808 = 0. -2202, 1 Factor 4*q**3 - 1700*q**2 + 5073*q - 3798. (q - 422)*(2*q - 3)**2 Solve 2*d**3/5 + 1172*d**2/5 + 2314*d + 5760 = 0. -576, -5 Solve v**2/5 - 19284*v - 289269/5 = 0 for v. -3, 96423 Suppose -2*g**2 - 1487056*g - 276416...
{ "pile_set_name": "DM Mathematics" }
to the nearest 1000? 3000 Let p = -2.8 + -2. Let d = -182 - -186.15. Let q = d + p. What is q rounded to 1 dp? -0.7 Let a = -983072605 + 983072606.209999914. Let t = 1.21 - a. What is t rounded to seven decimal places? 0.0000001 Let d = -37 - -39. Suppose 2*m + 103 = 4*u + 7*m, 3*u - d*m = 83. Suppose -u*r + 25*r = 520...
{ "pile_set_name": "DM Mathematics" }
5*p = 5*x, -a*p + 5*x = -3*p + 8 for p. -1 Let r be 2/4 + 288/64. Solve 1 = 3*q - r*a - 0*a, -q - 2*a = 7 for q. -3 Let p = 93 + -46. Suppose -5*g = -2*u - p, u + 19 = 3*g - 9. Suppose -4*f + 16 = 0, 3*b - 20 = -0*b - 2*f. Solve 0 = -2*t + b*o - 21 - g, -t + 10 = 3*o for t. -5 Let n = -15 + 38. Let w = n - 8. Suppose q...
{ "pile_set_name": "DM Mathematics" }
-3*a(o) + 7*d(o). What is -6*n(z) - x(z)? z + 1 Let h(s) = -2*s**2 - s + 17*s**3 + s + 17 - 4*s - 7*s**2. Let x(p) = p + 2*p**2 - 8 - 4*p**3 + 2 + 2. What is 2*h(i) + 9*x(i)? -2*i**3 + i - 2 Let s(u) = u + 3. Let o(n) = n**2 - n - 4. Let k = -16 - -13. What is k*s(j) - 2*o(j)? -2*j**2 - j - 1 Let r(n) = 3*n + 26. Let ...
{ "pile_set_name": "DM Mathematics" }
9, o: 3}? 1/3640 Three letters picked without replacement from hghhhhggghhhhhhghpg. What is prob of sequence gpg? 5/969 Calculate prob of sequence spp when three letters picked without replacement from wwppspsss. 1/21 Two letters picked without replacement from yrfrfyyffryfffff. Give prob of sequence yy. 1/20 Two lett...
{ "pile_set_name": "DM Mathematics" }
-5*d - o, -d = -1 - 3. Suppose -3841 - 6*g**2 + 3841 - 15*g**4 - t*g**3 = 0. What is g? -2, -1/5, 0 Let w(y) = -190*y**2 - 10585*y - 205335. Let p = -40 + 95. Let n(h) = 7*h**2 + 392*h + 7605. Let c(i) = p*n(i) + 2*w(i). Factor c(d). 5*(d + 39)**2 Let i(s) be the second derivative of -s**5/40 - s**4/4 + 5*s**3/4 - 2*s*...
{ "pile_set_name": "DM Mathematics" }
7*l + 560 + 1520 for l. -26 Solve 6 = 7*p - 47*p - 34 for p. -1 Solve 0 = 4*k + 7122 - 7142 for k. 5 Solve 591*s + 5085 = 26*s for s. -9 Solve -286*j - 87 = 2001 + 1916 for j. -14 Solve -50*r + 96*r = -393*r - 7024 for r. -16 Solve 34*w + 1677 = -55*w + 342 for w. -15 Solve -97*k - 6 = -143*k - 52 for k. -1 Solve 6*b -...
{ "pile_set_name": "DM Mathematics" }
{j: 2, w: 3, f: 3}? 3/140 Three letters picked without replacement from {f: 3, p: 5, g: 4}. What is prob of sequence pfg? 1/22 What is prob of sequence pnnn when four letters picked without replacement from {n: 5, p: 2}? 1/7 Two letters picked without replacement from tntjtttttjvtttvv. Give prob of sequence nv. 1/80 Wh...
{ "pile_set_name": "DM Mathematics" }
-1880*q**3 - 363*q**2 + 4955424 wrt q. -5640*q**2 - 726*q Find the second derivative of 2087507*g*o**3 + 2*g*o**2 + 41*g*o - 16*g - 1490*o wrt o. 12525042*g*o + 4*g What is the third derivative of -670639941*j**3 + 1272*j**2 - 242382 wrt j? -4023839646 What is the first derivative of -170172335*r**3*x - 16*r**3 + 6*r ...
{ "pile_set_name": "DM Mathematics" }
2/3 + 2*v/3 = 0. -1/4, 0 Let -116*b**5 + 2096*b**4/3 - 1292*b**3 + 2176*b**2/3 - 16*b = 0. What is b? 0, 2/87, 1, 2, 3 Factor 2*b**2 + 7051*b + 3525. (b + 3525)*(2*b + 1) Factor 5*i**3 - 5*i**2 - 50*i - 40. 5*(i - 4)*(i + 1)*(i + 2) Determine m, given that -5*m**3 - 60*m**2 - 145*m - 90 = 0. -9, -2, -1 Factor 4*c**4/3 ...
{ "pile_set_name": "DM Mathematics" }
ferentiate 12901*d*h - 521*d*k + 3*d + 2*h*k**2 - 53*h*k - 136*h - 25*k**2 wrt k. -521*d + 4*h*k - 53*h - 50*k What is the first derivative of -64174952*p*r*z - 3*p*z + 19392*p - 10*z - 3 wrt r? -64174952*p*z Find the first derivative of 4084*h*x**2 - 1421*h*x + 513*x**2 - 1901*x - 4 wrt h. 4084*x**2 - 1421*x Find the ...
{ "pile_set_name": "DM Mathematics" }
- j, -z = 2*y - 13. Suppose 0 = y*f - 320 - 430. What is the tens digit of f? 5 Let q = -97 + 102. Suppose -h - 3412 = -q*h - 4*d, -d = -2. What is the units digit of h? 1 Suppose -5*p - 4*s = -40 - 27, -2*p + s + 19 = 0. Suppose -p*i - x + 1385 = -8*i, 2275 = 5*i - 5*x. What is the units digit of i? 0 Let x(f) = 176*f...
{ "pile_set_name": "DM Mathematics" }
k(i) = 4*i - 4. Let h(p) = 2. Let l(q) = -16*h(q) - k(q). Let v be l(-7). Let u(m) = -m - 2. Let y be u(-6). Solve y*b - 2*b - 2 = v for b. 1 Let t(k) = 48*k - 184. Let d be t(4). Let v be -1*d*5/(-10). Solve 3*z = -10 + v for z. -2 Let b(h) = -h**2 + 14*h - 30. Suppose -2 = -3*v + 10. Suppose -3*d + 27 = 5*i - 7*i, -5...
{ "pile_set_name": "DM Mathematics" }
*t**2 - 14. Let m(w) = -7*j(w) + 6*o(w). Let q(f) = 17*f**2. Give m(q(h)). 1156*h**4 Let q(r) = -38*r. Let a be (-2)/10*-5*2. Let u(m) = -2*m**a + 3*m**2 + 0*m**2. Calculate q(u(w)). -38*w**2 Let l(a) = -3*a**2. Let t(g) = 2*g**2 - 2*g + 27602. Calculate t(l(o)). 18*o**4 + 6*o**2 + 27602 Let d(m) = m**2. Let r(g) = -g ...
{ "pile_set_name": "DM Mathematics" }
+ 0*b = 3*t - 339. Let q be (-25155)/b + 2/(-3). Let g = q + -77. What is the common denominator of -25/12 and g? 36 Suppose 22*d - 7*d - 30 = 0. Calculate the smallest common multiple of 215 and d. 430 Suppose -4*z + 2*z + 10 = 0. Suppose 200*v - 203*v = 3*f - 3, -3*f + 4 = 4*v. Calculate the least common multiple of...
{ "pile_set_name": "DM Mathematics" }
5, 4, 3 in decreasing order. 5, 4, 3, -9 Sort -63, -3, -1, 3 in descending order. 3, -1, -3, -63 Sort 4, 9, -5 in descending order. 9, 4, -5 Sort -1, -56, -4 in descending order. -1, -4, -56 Put 1394, 3, 4, -5 in decreasing order. 1394, 4, 3, -5 Sort -54, -5, -2, 2 in increasing order. -54, -5, -2, 2 Sort 0.02, 0.208,...
{ "pile_set_name": "DM Mathematics" }
= -3738 + 2416. List the prime factors of 2/13 - (v/26 - -2). 7 Let a = -19 + 14. Let o = 1 - a. List the prime factors of o. 2, 3 Let a(x) = -x + 27. Let o be a(14). Suppose -o*h = -9*h - 696. Suppose 6*l - 3*l - h = 0. List the prime factors of l. 2, 29 Suppose t + 21 = -2*t. Let v(b) = b - 1. Let f(i) = 6*i - 5. Let...
{ "pile_set_name": "DM Mathematics" }
*y**3 + 1 - 1) - 2*y**2 + 3*y**4 + 2*y**2 as b*y**2 + u*y + x + i*y**3 + j*y**4 and give j. -1 Rearrange -56*p**2 - 1 + 30*p**2 + p**3 + 19*p**2 to the form w*p**3 + h*p + s + t*p**2 and give t. -7 Express -7*v**2 + 6*v**2 + 4 + 3*v**2 + v**3 - 2*v**3 in the form h + j*v**3 + t*v**2 + u*v and give j. -1 Express -4 + 8 ...
{ "pile_set_name": "DM Mathematics" }
at is the c'th term of -10310, -10306, -10302? 4*c - 10314 What is the t'th term of 10473, 20939, 31381, 41787, 52145? -2*t**3 + 10480*t - 5 What is the l'th term of -12463, -49849, -112159, -199393, -311551? -12462*l**2 - 1 What is the a'th term of 161741, 161743, 161747, 161753? a**2 - a + 161741 What is the y'th ter...
{ "pile_set_name": "DM Mathematics" }
7 and -25/16? 16 Find the common denominator of 17/1290 and -19/165. 14190 What is the least common multiple of 112 and 64? 448 What is the smallest common multiple of 8 and 3422? 13688 Find the common denominator of -59/7 and -53/4. 28 Find the common denominator of -26/5047 and -79/2884. 20188 Find the common denomin...
{ "pile_set_name": "DM Mathematics" }
units digit of w? 5 Suppose -2*t + 0*u + 5*u = -6079, 5*t - 2*u - 15187 = 0. What is the thousands digit of t? 3 Let c(z) = -57*z - 334. Let y be c(-39). Let p = 3450 - y. What is the hundreds digit of p? 5 Suppose 7*f - 168 = -7*f. Suppose -17*c + f*c + 2910 = 0. What is the hundreds digit of c? 5 Let c(o) = 269*o**2 ...
{ "pile_set_name": "DM Mathematics" }
o**(306/7) Simplify (v**(-12)*v*v*v/(v*v*(v*v**10)/v))**35*(v**(-1/5)/(v*v/v**(1/7)*v*v))**(-15) assuming v is positive. v**(-4719/7) Simplify ((q**(-1))**(-16)*(q**(-1/3)*q)**39)/(q**(-2)*(q*q**2*q)/q*q*(q**1/q)**(2/33)) assuming q is positive. q**40 Simplify ((c/(c*c**8))**(2/21)*c**11/c**(-26))**(-8/9) assuming c is...
{ "pile_set_name": "DM Mathematics" }
f. What is j rounded to six dps? -0.000014 Let p = -49.898 + 49.5. Let z = p - -0.25. Round z to 2 dps. -0.15 Suppose 271*w + 133110 = 241*w. What is w rounded to the nearest one thousand? -4000 Let c = -185284 + -126026. What is c rounded to the nearest one thousand? -311000 Let y = 0.0493 + 0.2507. Let m = y - 1.26. ...
{ "pile_set_name": "DM Mathematics" }
Suppose -f + 3 = -5*h. Solve -4*k = -20, -5*l + h*k - 7*k = -b for l. 5 Suppose -444 = 3*g - 453. Solve -3*h = -g*r, 10*r + 9 = 9*r - 2*h for r. -3 Let d = -11166 - -11166. Solve d = -5*t + 2*u + 19 + 16, 2*t - u = 15 for t. 5 Let a = -418 + 420. Solve -14 = -13*x + 16*x - 4*t, 5*x + a*t = -6 for x. -2 Suppose 3*j + 2...
{ "pile_set_name": "DM Mathematics" }
isor of 27 and 443106. 9 What is the highest common factor of 396 and 45804? 132 Calculate the greatest common divisor of 554660 and 30. 10 What is the greatest common divisor of 87823 and 217? 31 What is the highest common divisor of 37627 and 16426? 191 What is the highest common factor of 175260 and 115? 115 Calcula...
{ "pile_set_name": "DM Mathematics" }
*5 + 15*n**3 - 12*n = 0. -2, -1, 0, 1, 2 Factor 3*v**2 + 633*v - 1926. 3*(v - 3)*(v + 214) Solve -i**5/10 = 0. 0 Let t**4 + 9*t**3 - 71*t**2 - 261*t - 182 = 0. Calculate t. -13, -2, -1, 7 Find y such that 18*y**5 + 104*y**4 + 174*y**3 + 64*y**2 - 24*y = 0. -3, -2, -1, 0, 2/9 Factor s**3 + 68*s**2 + 377*s + 310. (s + 1)...
{ "pile_set_name": "DM Mathematics" }
5*sqrt(17) Simplify (sqrt(76)*-1 + sqrt(19))**2 + -2*(sqrt(19) + 0) - (sqrt(171) + (sqrt(171) + 0)*3 - (0 + sqrt(171))*-2)**2. -6137 - 2*sqrt(19) Simplify (6*5*sqrt(65) - 5*(-4*sqrt(65) + sqrt(65)))/(5*(sqrt(5) - sqrt(15)/sqrt(3)) - (sqrt(480)/sqrt(6) + sqrt(5))). -9*sqrt(13) Simplify (-2*sqrt(3584) - sqrt(56)*5*6)/(-5...
{ "pile_set_name": "DM Mathematics" }
3 + g*j**4 + w*j + k and give g. 79042 Express -1637*f**3 - 352 + 547*f**3 + 550*f**3 - 9*f**2 + 542*f**3 as k*f**2 + x*f**3 + z*f + u and give x. 2 Express (-64*y + 54*y + 151*y)*(-48*y + 50*y - 46*y) in the form t*y**2 + l*y + k and give t. -6204 Express (8*l - 3*l + 2*l + 3 - 3 - 2*l + (-l + 5*l - 2*l)*(3 - 1 + 1) +...
{ "pile_set_name": "DM Mathematics" }
3 (f) 3 (g) -5828 a What is the fourth smallest value in 249, 0.2, -1333, 1/2? 249 What is the sixth biggest value in -0.3, -0.5, -3, -0.4, -123, -93, -0.1? -93 What is the third smallest value in 3/31, -0.9, 5, 9, -4? 3/31 Which is the sixth biggest value? (a) -1/2 (b) -6/5 (c) -5 (d) 4/3 (e) -61 (f) 56 e What...
{ "pile_set_name": "DM Mathematics" }
2*h + 4 = z*v. Solve 0 = v*x - x for x. 0 Suppose -t = 5*a - 25, -t + 2 = 3*a - 13. Let c = 0 + 4. Suppose -2*r + 11 = -2*o - 9, 3*r = -5*o + 62. Solve -c = a*i - r for i. 2 Suppose 1 = -4*i + 3*c - 2, 3*i + 1 = c. Suppose i = 3*m + 2*m. Suppose 2*l + 3*l = m. Solve l = 5*w - 4*w - 4 for w. 4 Let h(u) = -3*u - 20. Let...
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of 42165? 1 What is the ten thousands digit of 6893973? 9 What is the tens digit of 1616229? 2 What is the hundreds digit of 361388? 3 What is the tens digit of 192452? 5 What is the hundred thousands digit of 224891? 2 What is the hundred thousands digit of 426532? 4 What is the units digit of 3...
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of 811*z**2/2 - 504*z - 636. What is the derivative of q(s) wrt s? 811 Let p(v) be the second derivative of -64*v**7/21 - 19*v**4/6 + v**3/3 - 92*v. Find the third derivative of p(f) wrt f. -7680*f**2 Let w be 6 + 4 + -12 - (-1 + -5). Suppose 5*x = 25, -2*b + 2*x - 14 = -2*x. Differentiate 5*r...
{ "pile_set_name": "DM Mathematics" }
9992077 - 11602. What is n rounded to six dps? -0.000079 Let p = 6.8845 - 8.55. What is p rounded to two dps? -1.67 Suppose -3*m + 1 = -4*y - 17, -y - 4 = -m. Suppose 12 = -2*p - 2*g, p + 33 - 6 = -4*g. Let x be 1353 + 2 + y + p. What is x rounded to the nearest one hundred? 1400 Let o be 1935 + -1*0/(7 + -3). Round o ...
{ "pile_set_name": "DM Mathematics" }
+ 5 + -10. -14 Calculate -9 - -8 - 26 - -49. 22 Evaluate -23 + (1 - -8) + -5. -19 Calculate 2 + -13 + 1 + 11 + -1. 0 (-57 - -10) + (1 - -5) + 4 -37 Calculate 37 + -31 - (-9 + 30). -15 Calculate (26 + 1 - (3 - -16 - 13)) + 1. 22 What is the value of (-25 - (1 - 13)) + 33? 20 Calculate (1 - -4) + 11 - (6 + 7 - 6). 9 Eval...
{ "pile_set_name": "DM Mathematics" }
et i(f) = -3. Let l(z) = -3*i(z) + 2*j(z). Calculate x*h(p) - l(p). -3*p Let c(r) = 1701 + 3*r - 4*r - 5*r - 1770. Let i(l) = 4*l + 46. Give 5*c(p) + 7*i(p). -2*p - 23 Let d(k) = -12*k - 3. Suppose -156*o - 32 = -l - 160*o, -5*l + 4*o - 8 = 0. Let f(a) = 11*a + 2. What is l*f(m) + 3*d(m)? 8*m - 1 Let d(i) = -7*i + 28*i...
{ "pile_set_name": "DM Mathematics" }
between 5156.4 and -154328128? 154333284.4 -262918711 - 11737 -262930448 Add -58 and -4050.80290228. -4108.80290228 Put together -13105665919 and -0.1392. -13105665919.1392 Put together -8604 and 29075973876. 29075965272 -1.1801408708693 - 4 -5.1801408708693 Calculate -372666154643 + -0.5. -372666154643.5 What is the d...
{ "pile_set_name": "DM Mathematics" }
-24*k**2 - 7*k - 1943 What is the t'th term of -1801, -2182, -2565, -2950? -t**2 - 378*t - 1422 What is the c'th term of 82, 302, 580, 922, 1334, 1822, 2392, 3050? c**3 + 23*c**2 + 144*c - 86 What is the c'th term of 258, 2374, 8100, 19242, 37606, 64998? 301*c**3 - c**2 + 12*c - 54 What is the l'th term of -1060, -211...
{ "pile_set_name": "DM Mathematics" }
)*(-8)/66? 528 Calculate the common denominator of 588/630*(-575)/(-105) and -52/2403. 2403 Calculate the common denominator of -133/972 and (4/(-96))/(1/(-9)) + 338/(-648). 1944 Let c = 163161/28630 - -3/2863. Let l(n) = -41*n**2 + n + 6. Let v be l(-4). Let o = v + 7164/11. What is the common denominator of c and o? ...
{ "pile_set_name": "DM Mathematics" }
-0.3? (a) -247001 (b) 1 (c) -17/11 c What is the closest to 412 in 7, -2, 0, 453? 453 What is the nearest to -1.6 in 2, 24.5, -4, -2, 0.156? -2 Which is the closest to -6? (a) 23 (b) -1/13 (c) 3 (d) -6/11 (e) -1.31 (f) -2 f What is the closest to -47 in 89, 0.2, -3, -2/7? -3 What is the closest to 0.3 in 2/21...
{ "pile_set_name": "DM Mathematics" }
is the closest to -0.1 in 0.3, -0.1, -44/35? -0.1 What is the nearest to 1/9 in -2/3, 0.5, -1.4? 0.5 What is the nearest to -1 in -0.2, 0.4, 1/3, -1/10? -0.2 Which is the closest to 0.2? (a) 2 (b) -10 (c) -0.14 (d) -0.2 c What is the closest to -4/7 in -3/5, -5, -2/9, -18/11? -3/5 What is the closest to 0 in 0.3, 2...
{ "pile_set_name": "DM Mathematics" }
What is 670 minutes before 11:40 PM? 12:30 PM How many minutes are there between 8:01 PM and 9:38 PM? 97 What is 424 minutes before 1:57 PM? 6:53 AM How many minutes are there between 10:47 AM and 10:20 PM? 693 What is 14 minutes before 4:59 PM? 4:45 PM How many minutes are there between 6:29 AM and 5:05 PM? 636 What ...
{ "pile_set_name": "DM Mathematics" }
704, 3*s - 1019 = 4*k. Suppose -115 - 4 = -4*d + a, 5*d - 4*a - 135 = 0. What is the greatest common divisor of s and d? 31 Suppose 526 = 13*r - 410. What is the greatest common divisor of r and 8? 8 Let m(y) = 7*y**3 - 7*y**2 - 6*y + 74. Let g be m(5). What is the highest common divisor of g and 24? 24 Let w(h) = -4*h...
{ "pile_set_name": "DM Mathematics" }
8). -128 Let j(k) = 2*k**3 - 96*k**2 + 352*k + 5. Give j(44). 5 Let b(l) = -l**2 + 133*l + 14732. Determine b(205). -28 Let f(j) = j**3 + j**2 - 4*j - 10. Calculate f(-3). -16 Let m(i) = -5*i**2 + 107*i + 613. Determine m(26). 15 Let a(k) = -5*k - 80. What is a(-28)? 60 Let l(p) = 7*p - 185. What is l(20)? -45 Let s(r)...
{ "pile_set_name": "DM Mathematics" }
the form n*q + u*q**2 + f + t*q**3 and give f. 3 Express -7*v + 119 - 44 + 5*v - 40 - 58 - v**4 in the form c + g*v**2 + f*v**4 + a*v + h*v**3 and give f. -1 Rearrange (-4667 + 9324 - 120*o - 4655)*(2*o**2 + 3*o**2 - 3*o**2) to the form l*o**3 + g + k*o + u*o**2 and give l. -240 Rearrange (-3 + 2 - 1)*(-2*t**3 + 427186...
{ "pile_set_name": "DM Mathematics" }
g for a. -2 Let h(o) = 7*o**2 - 7*o. Let r(x) = x**2 - 5*x**2 - 4*x**2 - 7*x**2 + 14*x. Let w(y) = 13*h(y) + 6*r(y). Let b be w(7). Solve 0 = n - b - 4 for n. 4 Let n = 1293 - 1293. Solve n*h - 3*h + 9 = 0 for h. 3 Let m(p) = -p**2 + 11*p - 19. Let g(i) = 8*i. Let q be g(1). Let z be m(q). Solve z*s - 20 = s for s. 5 ...
{ "pile_set_name": "DM Mathematics" }
= -i**3 + 4*i**2 + 3*i + 7. Determine t(o). -3 Let w(v) be the third derivative of v**5/60 + v**4/8 - 2*v**3/3 + 2*v**2. What is w(-4)? 0 Let a(v) = -13*v + 0 + 2 + 1 + 17*v. Give a(-6). -21 Let y = 35 + -44. Let n(m) = -m**2 - 8*m + 6. What is n(y)? -3 Suppose 0 = -2*w - 0*w - 22. Let f = w - -6. Let v(s) = s**2 + 5*s...
{ "pile_set_name": "DM Mathematics" }
. 9*x Expand (-3*m**3 - m**3 + 5*m**3)*(8 + 4 + 0 + (-2 - 1 + 4)*(0 - 2 + 0) + 7 - 3 + 7)*(4 - 3 - 3). -42*m**3 Expand (-15354 + 899 - 3435)*(0*q + 2 - 3*q + 2*q). 17890*q - 35780 Expand (-117*t**2 - 46*t**2 + 1 - 1)*(-36*t + 1362 - 1362). 5868*t**3 Expand (-500543 + 500543 + 5242*z)*(-4 + 1 + 5)*(1 - 1 + 6). 62904*z E...
{ "pile_set_name": "DM Mathematics" }
*3 - y**2 + 45383*y + 10293 What is the y'th term of -8693, -15132, -21569, -28004? y**2 - 6442*y - 2252 What is the g'th term of 3632, 33613, 83582, 153539, 243484, 353417, 483338? 9994*g**2 - g - 6361 What is the s'th term of -37954, -75871, -113714, -151447, -189034, -226439, -263626, -300559? 6*s**3 + s**2 - 37962*...
{ "pile_set_name": "DM Mathematics" }
19061, 19449, 19905, 20423? 20997 What is next in 399, -10658, -29087, -54888, -88061? -128606 What is next in -4720, -18898, -42522, -75592, -118108, -170070, -231478? -302332 What is next in 46172, 45954, 45736, 45518, 45300? 45082 What is next in 29578, 29180, 28782, 28384, 27986, 27588? 27190 What comes next: -1996...
{ "pile_set_name": "DM Mathematics" }
nteger. -19 What is -0.000039707 rounded to seven decimal places? -0.0000397 Round 100.8 to the nearest integer. 101 Round -2553.94 to the nearest 10. -2550 What is 0.000076 rounded to 5 decimal places? 0.00008 Round -0.020138 to 3 decimal places. -0.02 Round -2259460 to the nearest 10000. -2260000 What is 3.5156 round...
{ "pile_set_name": "DM Mathematics" }
)? 3528*x**2 Let c(z) = -8*z - 6. Let l(o) = o + 1. Let d(s) = c(s) + 6*l(s). Let q(w) = 21*w + 2. What is q(d(f))? -42*f + 2 Suppose 2*a - 2*y + 18 = -y, 26 = -2*a - 3*y. Let k be ((-4)/(-5))/((-4)/a). Let h(w) = 4*w**2 + 2*w**k - 5*w**2. Let s(q) = q. What is h(s(x))? x**2 Let h(w) = -2*w. Let o(b) = -3*b**2 - 5. Let...
{ "pile_set_name": "DM Mathematics" }
uming i is positive. i**(31/12) Simplify (d*d**(-12))/(d/((d/d**(1/20))/d)) assuming d is positive. d**(-241/20) Simplify c**(1/10)/(c/((c/(c*c*c**13))/c)) assuming c is positive. c**(-159/10) Simplify (q/(q**1*q))**46*q**2*(q*((q*q/q**7)/q)/q)/q assuming q is positive. q**(-51) Simplify ((g*g**(-2/15)*g)/g**(1/5))**(3...
{ "pile_set_name": "DM Mathematics" }
-j**3 + 8756*j - 16 What is the o'th term of 30, 39, 38, 21, -18, -85? -o**3 + o**2 + 13*o + 17 What is the y'th term of -43, -80, -115, -148, -179, -208, -235? y**2 - 40*y - 4 What is the u'th term of -32, -67, -98, -125, -148, -167? 2*u**2 - 41*u + 7 What is the o'th term of 152, 154, 156, 158? 2*o + 150 What is the...
{ "pile_set_name": "DM Mathematics" }