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48 PM? 5:24 AM What is 514 minutes after 11:21 PM? 7:55 AM What is 142 minutes after 8:16 PM? 10:38 PM What is 260 minutes after 11:21 AM? 3:41 PM What is 644 minutes after 4:36 PM? 3:20 AM How many minutes are there between 5:06 PM and 12:45 AM? 459 What is 611 minutes after 12:13 PM? 10:24 PM How many minutes are there between 8:53 AM and 8:43 PM? 710 How many minutes are there between 7:59 PM and 8:05 PM? 6 What is 101 minutes before 9:00 AM? 7:19 AM What is 207 minutes before 11:21 AM? 7:54 AM What is 588 minutes before 6:02 PM? 8:14 AM How many minutes are there between 7:24 AM and 2:14 PM? 410 What is 376 minutes after 3:58 PM? 10:14 PM How many minutes are there between 10:44 PM and 4:09 AM? 325 How many minutes are there between 7:29 PM and 8:18 PM? 49 What is 388 minutes after 2:56 AM? 9:24 AM What is 597 minutes after 2:32 PM? 12:29 AM How many minutes are there between 6:52 AM and 3:03 PM? 491 How many minutes are there between 2:39 PM and 1:31 AM? 652 What is 110 minutes before 7:06 AM? 5:16 AM What is 321 minutes after 2:13 PM? 7:34 PM How many minutes are there between 2:29 PM and 5:05 PM? 156 How many minutes are there between 1:07 AM and 1:01 PM? 714 What is 167 minutes after 12:45 AM? 3:32 AM What is 33 minutes before 5:16 AM? 4:43 AM What is 353 minutes after 6:50 PM? 12:43 AM How many minutes are there between 11:29 PM and 6:03 AM? 394 How many minutes are there between 10:49 PM and 6:12 AM? 443 How many minutes are there between 2:50 PM and 9:02 PM? 372 How many minutes are there between 8:03 AM and 10:38 AM? 155 How many minutes are there between 3:01 AM and 9:14 AM? 373 How many minutes are there between 7:57 PM and 6:27 AM? 630 What is 496 minutes before 6:32 AM? 10:16 PM What is 588 minutes after 5:21 AM? 3:09 PM What is 126 minutes before 11:58 PM? 9:52 PM What is 310 minutes after 10:27 AM? 3:37 PM What is 149 minutes after 11:01 AM? 1:30 PM What is 321 minutes after 10:37 AM? 3:58 PM How many minutes are there between 3:14 PM and 12:06 AM? 532 How many minutes are there between 2:40 AM and 3:22 AM? 42 How many minutes are there between 4:48 PM and 8:17 PM? 209 How many minutes are there between 7:18 PM and 2:14 AM? 416 What is 4 minutes after 1:56 PM? 2:00 PM What is 663 minutes after 11:28 AM? 10:31 PM What is 401 minutes after 6:20 AM? 1:01 PM What is 482 minutes before 3:06 PM? 7:04 AM What is 252 minutes after 3:50 PM? 8:02 PM How many minutes are there between 10:04 AM and 6:28 PM? 504 How many minutes are there between 2:55 PM and 5:42 PM? 167 How many minutes are there between 6:59 AM and 7:39 AM? 40 What is 676 minutes before 1:02 AM? 1:46 PM How many minutes are there between 10:14 AM and 10:41 AM? 27 What is 387 minutes after 6:01 AM? 12:28 PM What is 573 minutes after 2:00 PM? 11:33 PM How many minutes are there between 9:26 PM and 10:56 PM? 90 How many minutes are there between 12:51 AM and 7:51 AM? 420 What is 373 minutes before 12:44 AM? 6:31 PM How many minutes are there between 8:35 PM and 6:13 AM? 578 What is 535 minutes before 7:56 PM? 11:01 AM What is 77 minutes after 9:36 AM? 10:53 AM How many minutes are there between 1:19 PM and 11:03 PM? 584 How many minutes are there between 11:27 AM and 5:58 PM? 391 How many minutes are there between 11:52 AM and 10:26 PM? 634 What is 155 minutes after 9:05 PM? 11:40 PM What is 39 minutes before 11:14 AM? 10:35 AM How many minutes are there between 9:32 PM and 8:54 AM? 682 How many minutes are there between 8:13 AM and 8:23 AM? 10 How many minutes are there between 6:12 PM and 11:34 PM? 322 What is 283 minutes before 6:07 AM? 1:24 AM How many minutes are there between 9:22 AM and 12:59 PM? 217 How many minutes are there between 2:50 AM and 3:01 AM? 11 How many minutes are there between 3:40 AM and 12:28 PM? 528 How many minutes are there between 6:13 PM and 2:00 AM? 467 What is 265 minutes after 10:33 PM? 2:58 AM What is 69 minutes after 1:23 PM? 2:32 PM What is 173 minutes before 9:08 AM? 6:15 AM How many minutes are there between 8:19 AM and 7:19 PM? 660 How many minutes are there between 4:53 PM and 12:41 AM? 468 How many minutes are there between 8:29 AM and 11:08 AM? 159 What is 40 minutes after 2:22 PM? 3:02 PM How many minutes are there between 8:12 PM and 12:18 AM? 246 What is 303 minutes after 9:08 PM? 2:11 AM What is 238 minutes after 10:21 PM? 2:19 AM How many minutes are there between 4:49 AM and 4:53 AM? 4 What is 63 minutes before 10:01 PM? 8:58 PM How many minutes are there between 12:20 PM and 7:45 PM? 445 What is 508 minutes before 5:16 PM? 8:48 AM How many minutes are there between 8:39 AM and 1:34 PM? 295 How many minutes are there between 8:37 AM and 7:59 PM? 682 How many minutes are there between 12:44 PM and 6:07 PM? 323 What is 186 minutes after 4:18 PM? 7:24 PM How many minutes are there between 4:32 PM and 2:10 AM? 578 How many minutes are there between 7:11 AM and 12:06 PM? 295 How many minutes are there between 10:39 PM and 8:59 AM? 620 How many minutes are there between 5:16 AM and 9:28 AM? 252 What is 120 minutes before 1:16 PM? 11:16 AM How many minutes are there between 8:51 PM and 2:09 AM? 318 What is 158 minutes after 12:32 PM? 3:10 PM What is 254 minutes before 11:48 PM? 7:34 PM How many minutes are there between 4:17 PM and 11:51 PM? 454 How many minutes are there between 11:58 PM and 3:02 AM? 184 How many minutes are there between 9:52 AM and 3:51 PM? 359 How many minutes are there between 7:40 PM and 9:09 PM? 89 What is 416 minutes after 11:50 AM? 6:46 PM How many minutes are there between 2:09 AM and 8:53 AM? 404 How many minutes are there between 6:20 PM and 2:21 AM? 481 What is 682 minutes after 1:10 PM? 12:32 AM What is 582 minutes before 11:37 AM? 1:55 AM What is 203 minutes after 7:43 AM? 11:06 AM How many minutes are there between 8:01 PM and 2:57 AM? 416 How many minutes are there between 6:58 AM and 8:40 AM? 102 What is 639 minutes before 3:01 PM? 4:22 AM What is 467 minutes before 2:51 PM? 7:04 AM What is 82 minutes before 9:54 PM? 8:32 PM What is 82 minutes before 12:14 AM? 10:52 PM What is 302 minutes before 10:00 PM? 4:58 PM What is 689 minutes before 4:52 PM? 5:23 AM What is 524 minutes after 11:22 AM? 8:06 PM How many minutes are there between 9:24 AM and 9:28 AM? 4 What is 283 minutes after 7:23 PM? 12:06 AM How many minutes are there between 2:25 AM and 8:52 AM? 387 What is 504 minutes before 6:12 AM? 9:48 PM What is 610 minutes after 3:01 PM? 1:11 AM How many minutes are there between 12:18 PM and 5:09 PM? 291 How many minutes are there between 2:39 AM and 6:02 AM? 203 What is 35 minutes before 9:22 AM? 8:47 AM How many minutes are there between 12:23 PM and 3:08 PM? 165 How many minutes are there between 3:13 PM and 7:17 PM? 244 What is 568 minutes after 7:58 PM? 5:26 AM What is 302 minutes before 1:36 PM? 8:34 AM What is 690 minutes before 3:01 AM? 3:31 PM How many minutes are there between 11:55 PM and 5:05 AM? 310 What is 376 minutes before 9:16 PM? 3:00 PM What is 202 minutes after 8:19 PM? 11:41 PM How many minutes are there between 10:25 AM and 4:39 PM? 374 What is 481 minutes after 6:10 PM? 2:11 AM What is 525 minutes after 2:22 PM? 11:07 PM How many minutes are there between 11:47 AM and 10:49 PM? 662 What is 693 minutes after 2:27 AM? 2:00 PM What is 583 minutes before 1:35 PM? 3:52 AM How many minutes are there between 8:46 AM and 8:16 PM? 690 What is 36 minutes before 3:09 AM? 2:33 AM How many minutes are there between 5:54 AM and 1:56 PM? 482 How many minutes are there between 7:46 AM and 8:22 AM? 36 What is 585 minutes before 4:00 AM? 6:15 PM What is 360 minutes after 10:48 AM? 4:48 PM What is 310 minutes before 4:33 PM? 11:23 AM What is 6 minutes before 9:03 AM? 8:57 AM What is 186 minutes before 1:52 AM? 10:46 PM What is 203 minutes after 8:16 PM? 11:39 PM What is 446 minutes before 10:54 PM? 3:28 PM How many minutes are there between 5:32 AM and 5:19 PM? 707 How many minutes are there between 5:34 PM and 4:37 AM? 663 What is 279 minutes after 2:59 PM? 7:38 PM How many minutes are there between 3:10 AM and 5:55 AM? 165 How many minutes are there between 4:47 PM and 1:50 AM? 543 What is 310 minutes after 12:20 PM? 5:30 PM What is 488 minutes before 12:53 PM? 4:45 AM What is 482 minutes
{ "pile_set_name": "DM Mathematics" }
the tens digit of l? 1 Let o = 2 - -3. Suppose -q + 2*a - 7 = 0, o*q = 4*a - 0*a - 5. Suppose -6*y + q*y + 33 = 0. What is the tens digit of y? 1 Let o = 325 - 180. What is the tens digit of o? 4 Let r be (-1)/(-4) + (-105)/4. Let q = -66 - r. What is the units digit of (2/(-5))/(4/q)? 4 Let c be ((-96)/(-14))/((-3)/(-21)). Suppose -4*v + c = 4*j, 5*j - 41 = -4*v + 20. What is the units digit of j? 3 Let r = -36 - -62. What is the units digit of r? 6 What is the units digit of -3*(-7)/3 - 4? 3 Let d(s) = s**2 + 5*s + 4. Let u be d(-4). Suppose 0 = -u*y + 3*y - 12. Suppose 14 = y*p + 2. What is the units digit of p? 3 What is the hundreds digit of (-36 + 0)*(-26)/8? 1 Let u = 0 + 2. Suppose -117 = -5*m - u*y, 0*y - 113 = -5*m - 3*y. What is the tens digit of m? 2 Let j(n) = -7*n**2 + 27*n + 27. Let v(t) = -3*t**2 + 13*t + 13. Let l(z) = 4*j(z) - 9*v(z). Let k be l(-8). Let a = 8 - k. What is the units digit of a? 9 Suppose 0 = -0*v - 5*v + 250. What is the tens digit of v? 5 Let j(o) = o + 1. Let k(a) = 6*a + 1. Let c(i) = -2*j(i) + k(i). Let w be c(2). Let f = w - 4. What is the units digit of f? 3 Let i(x) = x**3 - 4*x**2 + 4*x - 1. Let q(c) = -c**3 + 4*c**2 - c - 2. Let w be q(3). What is the units digit of i(w)? 5 Let i = -4 - -11. Let g(b) = -b**2 + 6*b + 7. Let q be g(i). Let v = q + 5. What is the units digit of v? 5 Suppose 4*z + 2*o = 128, 2*o - 160 = -5*z - 0*z. What is the tens digit of z? 3 Suppose -22 = -4*h + 4*l + 46, -5*h + 106 = 2*l. Let a = h - 11. What is the units digit of a? 9 Suppose a = -5*a + 1764. What is the hundreds digit of a? 2 Suppose -3*z = -2*f + 143, 0 = 5*f + 4*z - 219 - 104. What is the units digit of f? 7 Suppose 4 = -4*c, -5*v - 4 = -0*v + 4*c. Let s be v*(2 + 15/(-6)). What is the units digit of 5 + -1*(-1 - s)? 6 Let m be -4 - (-93 - -1 - -2). Let w = m - 42. What is the units digit of w? 4 Let c(w) = -11*w + 1. What is the tens digit of c(-2)? 2 Let q(o) be the second derivative of o**5/20 + o**4/2 - o**3/3 - 7*o**2/2 + o. What is the units digit of q(-6)? 5 Let d(m) = m. Let p(b) = 7*b - 2. Let w(z) = -6*d(z) + p(z). What is the units digit of w(5)? 3 Let m = -64 - -110. What is the tens digit of m? 4 Let o = 15 - 12. Suppose -3*i - 9 = -2*g + 6, -o*g + i + 33 = 0. What is the tens digit of g? 1 Let x(g) = -g**3 - 9*g**2 - 15*g - 5. What is the units digit of x(-10)? 5 Let a(s) = -s - 1. Let p(r) = -4*r + 1. Let k(q) = 2*a(q) - p(q). Let d be k(3). Suppose -d*n + 1 = -2. What is the units digit of n? 1 Suppose 4*k = -3*l + 10, 3*k - 4 = l + 10. Let w(h) = 7*h**2 - h. Let r be w(1). Let y = l + r. What is the units digit of y? 4 What is the tens digit of (-1396)/(-16) - (-2 + 18/8)? 8 Let v(h) be the first derivative of h**4/4 + h**3 - 5*h**2/2 + h + 19. Let d = -14 - -10. What is the units digit of v(d)? 5 Let v(z) be the first derivative of z**2 - 12*z + 6. What is the units digit of v(8)? 4 Let c(q) = -3*q**2 - 6*q + 2*q - 7*q**3 + 5*q**3 + 2 - 5. What is the units digit of c(-2)? 9 Let i = -3 + 20. Suppose -91 = -5*n + 2*s - 21, 0 = -4*n + s + 53. Let k = i - n. What is the units digit of k? 5 Suppose 6*s - 2*s - 4 = -4*y, -2*y + 8 = 4*s. What is the units digit of s? 3 Suppose 4*i + 20 = -3*j, 5*j + 0*j - 2*i - 10 = 0. Suppose j = l - 3*l - 42. Let q = -3 - l. What is the units digit of q? 8 Suppose -1 = -3*x - u + 11, 2*x - 8 = 3*u. Let k = x - 3. What is the units digit of k? 1 Suppose -4 - 17 = s. Let u = 49 + s. Suppose 0*i - 2*i = -u. What is the tens digit of i? 1 Let u(h) = -h**3 - 5*h**2. Let q be u(-6). Suppose 3*f + q = 5*f. What is the units digit of f? 8 Let u be 1/4 + (-382)/(-8). Suppose 71 = -3*w - 28. Let m = u + w. What is the tens digit of m? 1 Let x = 251 - -95. What is the hundreds digit of x? 3 Let y = 13 + -9. Let p(s) = s**3 - 3*s**2 + 2*s + 1. What is the tens digit of p(y)? 2 Suppose -13 = 5*t - f - f, -2*t + f - 5 = 0. What is the tens digit of (-1 - (1 - t))*-5? 2 Let t(v) = -8*v - 1. Let l be t(-1). Let g = l - -4. What is the units digit of g? 1 Suppose -5*m + 124 - 34 = 0. Suppose -5*a = i + m, -2*a - 5 = -5*i + 13. Suppose -4*k - i = -34. What is the units digit of k? 8 Let t(u) = u**3 - 4*u**2 + u - 2. Let h be t(4). Suppose -25 = -2*n + o, h*o - 56 = -5*n + 29. What is the tens digit of n? 1 Suppose -9*r = -5*r - 180. What is the tens digit of r? 4 Let o be 262/8 - (-3)/(-4). Suppose -o = -5*v + v. What is the units digit of v? 8 Let p(v) = v**3 - v**2 + v + 1. Let n be p(-1). Suppose 0 = a - 5 - 1. Let u = n + a. What is the units digit of u? 4 Let c be (-5)/((-30)/(-4))*-3. Suppose 0 = 4*f - c*f. Suppose -5*q + 5*g + 60 = f, 2 - 4 = g. What is the units digit of q? 0 Suppose -205 - 50 = -5*u. What is the units digit of u? 1 Suppose -4*p + 0*p = 8. Let l = 6 + p. What is the units digit of l? 4 Suppose -323 + 59 = -6*p. What is the units digit of p? 4 Let s(i) = -i**3 + 8*i**2 + 5*i - 4. Let k be s(8). Suppose -2*j - 2*j = k. What is the units digit of (-16)/j - 2/(-9)? 2 What is the units digit of (-36)/(-28) - 4/14? 1 Let r(s) = 2*s + 1. Let q be r(2). Suppose 3*x - q*p - 12 = 0, -2*x + 0 + 33 = 5*p. What is the units digit of x? 9 Let c(o) = o**3 - 3*o**2 - 4*o + 4. Let n be c(4). Suppose -2*h + 5 + 52 = d, n*h + d - 115 = 0. What is the tens digit of h? 2 What is the units digit of (-4 - (-3 + 3)) + 13? 9 Let t = -9 - -11. Let v(i) = 19*i**2 - 2*i + 3. Let x be v(t). Suppose -3*r = 2*r - x. What is the tens digit of r? 1 Let u be (0 + 6)/(2/5). Suppose 0 = 2*t - 5 - u. What is the tens digit of t? 1 Let i(j) = j**2 - 8*j + 1. Let g be i(8). Let m = g - -2. Suppose 0 = s + 2*s + 2*y + m, 0 = 3*s + 4*y + 9. What is the units digit of s? 1 Let i(q) be the second derivative of -q**3/6 + q**2 - 2*q. What is the units digit of i(-6)? 8 Let f = 79 - -30. What is the tens digit of f? 0 Let b = -30 + 12. What is the units digit of (-2)/(-1) - b/2? 1 Suppose 17 = 3*z - i - 3, 0 = 2*z + 4*i + 10. Suppose z = q - 3*x, 5*q - 2*x - 26 = 64. What is the tens digit of q? 2 Let n(h) = h - 2. What is the tens digit of n(12)? 1 Let j = 274 + -136. What is the hundreds digit of j? 1 Let y = 2 - 2. Let w(b) = y + b + 9*b**2 + 0 + 1. What is the units digit of w(-1)? 9 Suppose 4*c = -k + 533, 5*k + 102 = 2*c - 137. What is the units digit of c? 2 Suppose -2*p = -5*p. Suppose -3*a + p*a + 44 = -4*z, -3*a + 30 = 3*z. What is the tens digit of a? 1 Suppose 0 = -0*d + 2*d + 4, 4*f - 702 = -5*d. What is the units digit of f? 8 Suppose 0*z + 2*z - 214 = 0. What is the units digit of z? 7 Suppose -2*y + 1 = -m, -3*y - 8 = -4*m - 7*y. What is the units digit of 7 - (-3 + (m - 0))? 9 Let y(j) = -7*j - 7. Let x be y(-5). Let f be x/20 - (-2)/(-5). Suppose 0 = -2*a + 3*a - 4*p - f, 5*p = -4*a + 25. What is the units digit of a? 5 Let d be 8/(-12) + 112/6. Suppose d = 4*u - 10. Suppose -u = 4*m - 31. What is the units digit of m? 6 Let k be (16/6)/(10/165). Suppose k = -3*j + 7*j + 4*w, j - 2*w = -1. What is the units digit of j? 7 Let h = -4 - -3. Let f(a) = -a**2 + 6*a - 3. Let z be f(6). What is the units digit of (1*h)/(z/15)? 5 Let k be 1/2 - 3/6. Suppose o - 6 = -p, k*o + 4*p = 4*o - 40. What is the units digit of o? 8 What is the tens digit of -1 + ((-3)/15 - (-661)/5)? 3 Suppose -z - 76 = -5*z - 4*i, 4*z - 3*i = 90. What is the tens digit of z? 2 Let d be 2/(-10) - 93/(-15). Suppose d*j = j. Let h = j - -1. What is the units digit of h? 1 Let o = -21 + 56. What is the tens digit of o? 3 What is the tens digit of ((-99)/11)/(3/(-10))? 3 Suppose -4*f = -23 - 601. What is the units digit of f? 6 Let q be (4/10 + 0)*10. Let t(z) = q + z**2 - 2 - 1. What is the units digit of t(2)? 5 Suppose -66 = 2*x - z, -x = -4*x + 5*z - 92. Let h = -20 - x. Suppose 0 = -4*r + 2*r + h. What is the units digit of r? 7 Let a(b) = b**3 - 3*b**2 - b - 9. What is the tens digit of a(6)? 9 Let c(u) = -28*u - 7. Let s(n) = -83*n - 20. Let j(l) = 17*c(l) - 6*s(l). Let t be j(1). Suppose -5*g = -7 - t. What is the units digit of g? 6 Suppose -27 = -0*q - 3*q. Suppose -5*v = -2*b + q, 4*b - 21 = 3*v + 18. What is the tens digit of b? 1 Suppose 0*i + 2*i = 14. Suppose 5*u = 4*b + 1, -5*u + i = b + 1. What is the units digit of u? 1 Let z = 3 + 13. What is the units digit of z? 6 Let m = 0 + 0. What is the tens d
{ "pile_set_name": "DM Mathematics" }
5 in descending order. 1415, -5, -50.982 Sort 0.2, -7/10, -1744/9. -1744/9, -7/10, 0.2 Sort 40, -1, -262, 2, -33 in ascending order. -262, -33, -1, 2, 40 Sort 0, -3, 18, -1, 46889 in increasing order. -3, -1, 0, 18, 46889 Sort -5, 3, -4, 6, -2649, -9, 2 in ascending order. -2649, -9, -5, -4, 2, 3, 6 Sort 18, 3, -5, -1980, -4 in descending order. 18, 3, -4, -5, -1980 Put -347, 5, -0.5, -1/7, -5, 1995 in decreasing order. 1995, 5, -1/7, -0.5, -5, -347 Put -3936779, -1, -3, 6, -4 in decreasing order. 6, -1, -3, -4, -3936779 Put 2, 11, 3, -6, 4, -39, -106 in decreasing order. 11, 4, 3, 2, -6, -39, -106 Sort -5, 1, 391.5627 in descending order. 391.5627, 1, -5 Sort -2, -53909, -1, -6, 1 in descending order. 1, -1, -2, -6, -53909 Sort -28, 2/5, 31, -1, -2, -27 in increasing order. -28, -27, -2, -1, 2/5, 31 Put -3, 0, -5, -1.8, -8, 34, 5 in descending order. 34, 5, 0, -1.8, -3, -5, -8 Put -3812, -0.019, -183 in ascending order. -3812, -183, -0.019 Put -6.3, -14, 4/53, 0.2, 21/10 in increasing order. -14, -6.3, 4/53, 0.2, 21/10 Put -4, 4, 3320, -3, 36 in decreasing order. 3320, 36, 4, -3, -4 Put 0, -2/101, -3463 in ascending order. -3463, -2/101, 0 Put 0.2, -5/8, -114, -0.2, 56 in decreasing order. 56, 0.2, -0.2, -5/8, -114 Sort 67174, -72, -5 in increasing order. -72, -5, 67174 Sort -2/180105, 7, 1.6 in descending order. 7, 1.6, -2/180105 Put 883072, 17, 15 in ascending order. 15, 17, 883072 Put -8/3, -0.5, -3/5, 1, 7/2413 in descending order. 1, 7/2413, -0.5, -3/5, -8/3 Sort 2/9, -282, -14, -1, 11. -282, -14, -1, 2/9, 11 Sort 1401, 7, -334. -334, 7, 1401 Put -24.7, 0.1, -1650, 2/5, 3 in decreasing order. 3, 2/5, 0.1, -24.7, -1650 Sort -4, -10, -22387, -1 in decreasing order. -1, -4, -10, -22387 Put -19, 4/3, -21, 0.619 in increasing order. -21, -19, 0.619, 4/3 Sort 2, 147, -308, -108 in ascending order. -308, -108, 2, 147 Sort 1231, 35704, -3 in decreasing order. 35704, 1231, -3 Sort 1/5, 4/3, -4, -681, 3.6, 1/7. -681, -4, 1/7, 1/5, 4/3, 3.6 Put -141, 940, -2 in decreasing order. 940, -2, -141 Put -2/121, -4, 142/27, 5, -18 in decreasing order. 142/27, 5, -2/121, -4, -18 Sort 43018, 1, -323 in decreasing order. 43018, 1, -323 Sort -1/3, 6664713, 2/13, 2 in decreasing order. 6664713, 2, 2/13, -1/3 Sort 16, -3, 4, -1, 38, 31. -3, -1, 4, 16, 31, 38 Put 0.3, -4, -1/4, -1716, -3, 2/29 in descending order. 0.3, 2/29, -1/4, -3, -4, -1716 Sort -4, -5, 427, 1, 13, -1 in descending order. 427, 13, 1, -1, -4, -5 Put -4, 48, -5, 1, -1, 195 in increasing order. -5, -4, -1, 1, 48, 195 Sort -3, 18, 7, 5, 188281 in decreasing order. 188281, 18, 7, 5, -3 Sort 44, -20, -5, -235, 3, -4 in ascending order. -235, -20, -5, -4, 3, 44 Sort -5, 1, -4, 2, 13, -7, -10. -10, -7, -5, -4, 1, 2, 13 Sort -0.5, -4, 0.66, -87.5. -87.5, -4, -0.5, 0.66 Sort 11499, 2, 0, 49 in decreasing order. 11499, 49, 2, 0 Put 5, -14, 4, -494, 161, 8 in ascending order. -494, -14, 4, 5, 8, 161 Put 50, -208, -1860, 4, 0 in descending order. 50, 4, 0, -208, -1860 Sort 0, -2, 5, -5, 766, -42, -20 in increasing order. -42, -20, -5, -2, 0, 5, 766 Sort -26, 1/2242, -11 in decreasing order. 1/2242, -11, -26 Sort 4, 5, -1, 1351, -832, 2/3 in descending order. 1351, 5, 4, 2/3, -1, -832 Put -38, 3, -72, -1521, 0 in ascending order. -1521, -72, -38, 0, 3 Put 83, -1, 879443 in ascending order. -1, 83, 879443 Sort -0.02495, -2, -0.196. -2, -0.196, -0.02495 Put 121, -6, -5, -3630 in increasing order. -3630, -6, -5, 121 Put -3996, -1, -11 in decreasing order. -1, -11, -3996 Put 65, 0, -34, 48 in increasing order. -34, 0, 48, 65 Sort -2, 0, 6, -4, 193, 20, -3 in descending order. 193, 20, 6, 0, -2, -3, -4 Put -346, 373, 4, -101 in descending order. 373, 4, -101, -346 Sort 136, -691, 116 in decreasing order. 136, 116, -691 Sort -25, 8, -33, 7, -12 in increasing order. -33, -25, -12, 7, 8 Put 0.75, -102, 71, 0.5 in increasing order. -102, 0.5, 0.75, 71 Sort -1, 2429, -2306 in decreasing order. 2429, -1, -2306 Sort -2306, -1, 3, -23, 1 in descending order. 3, 1, -1, -23, -2306 Sort -39, -5, 0.2, 40, -699 in increasing order. -699, -39, -5, 0.2, 40 Put -1, 3/2, 3/8, -48, 0.2, -3/4 in descending order. 3/2, 3/8, 0.2, -3/4, -1, -48 Put 3, -17, -5, -2, 8863, 1, -4 in decreasing order. 8863, 3, 1, -2, -4, -5, -17 Sort -2, 0, -3, -10, -8, -6.325. -10, -8, -6.325, -3, -2, 0 Put 12.9546, -1.27, -2/7 in descending order. 12.9546, -2/7, -1.27 Sort -5148, 9, -41, 0. -5148, -41, 0, 9 Put 5, 57, 1, -4, 903 in increasing order. -4, 1, 5, 57, 903 Sort 0.5, 39216, -415 in decreasing order. 39216, 0.5, -415 Sort -102, 1, 11, 3, 0, 4, 50 in increasing order. -102, 0, 1, 3, 4, 11, 50 Sort 4, 81480, 17. 4, 17, 81480 Put -2, -12, 2, -4, -809, -51, -1 in descending order. 2, -1, -2, -4, -12, -51, -809 Sort 48, -59, 2, -86 in decreasing order. 48, 2, -59, -86 Put 1, -5, 9, 49, -4, 4 in decreasing order. 49, 9, 4, 1, -4, -5 Sort 2/35, 1528, 0, 3/8, 0.5, -7 in ascending order. -7, 0, 2/35, 3/8, 0.5, 1528 Sort 490, 0, 4, -1/7, -2, -82 in increasing order. -82, -2, -1/7, 0, 4, 490 Sort -0.014, 17090, -3, -1/7 in increasing order. -3, -1/7, -0.014, 17090 Put 0, -10, -4, 2793, -79 in decreasing order. 2793, 0, -4, -10, -79 Put 111, -947, -6, -8 in ascending order. -947, -8, -6, 111 Put -87, -8, -2, -1, 3844 in increasing order. -87, -8, -2, -1, 3844 Put 1/109, -192, -0.66, 3 in increasing order. -192, -0.66, 1/109, 3 Sort -3/5, 4, -2, -0.277, 2/9 in increasing order. -2, -3/5, -0.277, 2/9, 4 Sort 6542, 2, 7, -80. -80, 2, 7, 6542 Sort 5, -1, 14, -2, -4870, 2 in descending order. 14, 5, 2, -1, -2, -4870 Put -8, -10, 2, -5, 15, 21, -4 in decreasing order. 21, 15, 2, -4, -5, -8, -10 Sort 4, -3, -18, -108, -2, -138. -138, -108, -18, -3, -2, 4 Sort -18, 5, 1038948 in descending order. 1038948, 5, -18 Put -5, 1, -4, 238, 12, -2, -40 in decreasing order. 238, 12, 1, -2, -4, -5, -40 Sort 0, 18953953, -5. -5, 0, 18953953 Sort 3.9, 0.02, -2.4, 0 in decreasing order. 3.9, 0.02, 0, -2.4 Sort 1113, 0.5, 3, -0.18, 609/2. -0.18, 0.5, 3, 609/2, 1113 Put 34342, 3, -1016 in increasing order. -1016, 3, 34342 Sort 11/52, -4, 3/4, -1, 3, -18, 2 in ascending order. -18, -4, -1, 11/52, 3/4, 2, 3 Sort -5, -3, 3, 20862, 0 in ascending order. -5, -3, 0, 3, 20862 Sort 1/2, -2272, -11/24 in descending order. 1/2, -11/24, -2272 Sort 1059, -0.12, 4/7, 0, 0.068. -0.12, 0, 0.068, 4/7, 1059 Put 3, 2/3, -223260 in decreasing order. 3, 2/3, -223260 Sort 6, -4/3, -441, -1, 0.01, 1, -2 in descending order. 6, 1, 0.01, -1, -4/3, -2, -441 Sort -14, 3, 72641 in ascending order. -14, 3, 72641 Sort 5, 5036, -5, -2326 in decreasing order. 5036, 5, -5, -2326 Sort 2, -112, -6, 51, 8, 9. -112, -6, 2, 8, 9, 51 Put 5, -3, -5, -50862, -4, 87 in ascending order. -50862, -5, -4, -3, 5, 87 Put 11, -0.05925, -22 in ascending order. -22, -0.05925, 11 Sort -20, 184, 6, -27, -9. -27, -20, -9, 6, 184 Sort 0.2, 0, -0.043, 36, 0.04732. -0.043, 0, 0.04732, 0.2, 36 Put -126, 2, 1, -251, -119 in decreasing order. 2, 1, -119, -126, -251 Sort 2, -158, 82, 56, 3 in descending order. 82, 56, 3, 2, -158 Sort -5, -263026, 162, 1 in decreasing order. 162, 1, -5, -263026 Put 3, 1.1606, 0.0807 in increasing order. 0.0807, 1.1606, 3 Put -63, 0, -34, -5, 18, 2 in descending order. 18, 2, 0, -5, -34, -63 Sort 1, 0.3, 1884, -0.1, 0.2, -144. -144, -0.1, 0.2, 0.3, 1, 1884 Sort -4, 44, -5, 2, -2, 3. -5, -4, -2, 2, 3, 44 Sort -28, 13, 4, -61789. -61789, -28, 4, 13 Sort -10, -4, 3, -34, 5, 46, 0 in descending order. 46, 5, 3, 0, -4, -10, -34 Put 10729, 2, -4/41 in descending order. 10729, 2, -4/41 Put -4, -5, -29, -1089 in descending order. -4, -5, -29, -1089 Put 5, 35, -1, -7, -53, -5, 3 in ascending order. -53, -7, -5, -1, 3, 5, 35 Sort -7, -701, 5, -2, -3 in decreasing order. 5, -2, -3, -7, -701 Sort 0.5, -10/11, -0.0191, -447/2 in increasing order. -447/2, -10/11, -0.0191, 0.5 Put -5, 1, 5, 153, -977, -7 in increasing order. -977, -7, -5, 1, 5, 153 Put -10, -7/4, -0.947, -4/5, -2/99 in decreasing order. -2/99, -4/5, -0.947, -7/4, -10 Put -71758, -8, 7 in increasing order. -71758, -8, 7 Sort 44, 25, 26, 42, 5, 2, 18 in decreasing order. 44, 42, 26, 25, 18, 5, 2 Sort -44, 30, 1006 in decreasing order. 1006, 30, -44 Sort 14717, -1, 5, -111, -15. -111, -15, -1, 5, 14717 Sort 3/7, 14597, 0.34, 0. 0, 0.34, 3/7, 14597 Sort
{ "pile_set_name": "DM Mathematics" }
Let a be ((-105)/90)/(-7) - (-5)/6. Is a/(-10)*69022*-5 prime? True Is (-364)/((-392)/14)*24733/13 prime? True Suppose -f - 294 = -5*v + 2*v, 0 = -2*f. Let s = -88 - v. Let z = s - -289. Is z composite? False Let y(b) = -b**3 - 11*b**2 + 2*b + 26. Let d be y(-11). Let m be (-7)/(42/d) + 3189/(-9). Let x = 1566 + m. Is x prime? False Let q = 68 - 67. Let c be (3 + (-5)/(5/3))/q. Suppose c = 4*n - 1299 + 71. Is n prime? True Let b = -178 + 187. Let u(w) = 38*w**2 + 10*w - 31. Is u(b) a composite number? False Let f be 1/3*2/((-2)/(-9)). Let w(i) = -i**2 + 10*i - 18. Let y be w(6). Suppose 2*m + 846 = y*g - 2*g, f*g + 5*m - 667 = 0. Is g prime? False Suppose 13271 = 11*l - 23678. Is l composite? False Let z(l) be the first derivative of -27*l**4/4 + l**3/3 - 3*l**2/2 - 5*l - 6. Let f be -1 - (5 - (4 - 0)). Is z(f) a composite number? True Let z(o) = 4697*o**2 + 56*o - 208. Is z(11) a prime number? False Is 28319/(-14 + 105/7) a composite number? False Suppose 7*i - 4*u - 26 = 2*i, 2*i = -u. Let a(o) = 1022*o**3 + o**2 - o + 4. Is a(i) a composite number? True Let r = 66 - 64. Suppose r*u - 2*z = 5*u + 3, 6 = 3*u - z. Is (4/(0 + u))/(6/1563) a prime number? False Let h(l) = -l**2 - 12*l - 5. Let u be h(-4). Let o = u + -26. Is (2775/10 - o)*2 a prime number? False Suppose 0 = 2*c + 10, -c - 76 = -p + 2*c. Let u = p - 51. Suppose 2*f - 1060 = 2*q, u = q + q. Is f prime? False Let c = -344438 - -557781. Is c composite? True Let a = 45 - 50. Let o be a/(15/(-9)) + (-5 - 4). Is (-2 - 1)*502/o composite? False Suppose -15*s + 301 = -194. Suppose -s*d + 57538 = -20*d. Is d a prime number? False Let w be 8/(-2)*(-42)/3. Is 934344/126 + (-4)/(w/6) a composite number? True Let h = -35 + 39. Suppose 4*k - 17092 = 5*a, k + h*a - 2104 = 2148. Let b = -667 + k. Is b a composite number? True Suppose 22*y = 8*y + 840. Is (-18)/4*(-40)/y + 2743 a prime number? False Suppose 158973 = 22*d - 6873113 - 14077200. Is d a composite number? True Let j(m) = 6*m + 0 + 3 - 4 + 0*m - m**2. Let c be j(5). Suppose -4016 + 436 = -c*n. Is n a prime number? False Suppose 5*m + 4*g - 6*g - 7 = 0, 0 = 4*m + g - 3. Is (-1216665)/(-540) - m/12 a composite number? True Let p = 44 + 1. Let h be 0 - ((-27)/p + 14/(-10)). Suppose 0 = -3*q + h*q + 217. Is q a composite number? True Let y be ((-7)/(105/10))/((-3)/(-10539)). Let n = 3999 + y. Is n a prime number? True Suppose 112 = 30*q - 2*q. Suppose q*h = -5*z + 1073, -7*h + 806 = -4*h + 4*z. Is h a prime number? False Let b(a) = 272*a**2 + 6*a + 9. Let p be b(8). Let k = -12076 + p. Is k composite? True Let j = -5023 + 10901. Suppose -20*u = -19*u - j. Is u a prime number? False Is 1817975/45 + 16/(-36) prime? False Let m be 245/(-49) + 2518/2. Let v = m + 1279. Is v a prime number? False Is 40866 + ((-286)/(-78))/(1/3) prime? False Let k = -573851 - -908580. Is k a composite number? True Let g = -17 + -21. Let l = -35 - g. Suppose 5*t + 6*p = l*p + 1446, -p = -3*t + 876. Is t prime? False Let v(f) = 73*f - 18. Let h be (0 - -6)/((-189)/(-28) + -6). Let y be 7 - 4/h*4. Is v(y) a composite number? False Let c be (4 - (-434)/21)/(1/3). Let u = c - 72. Let s(k) = 130*k**2 + 1. Is s(u) prime? True Let z(v) = 29*v**2 - 8*v + 20. Suppose -5*h - 32 = -g, -2*h = 5*g + 7 + 22. Is z(h) prime? False Let p = -1751288 - -3345607. Is p composite? True Suppose 22*p - 45*p + 20155 = -209316. Is p a prime number? False Suppose -4*d = d - 10. Suppose 26724 = d*k - 4*j, 2*k = j + j + 26720. Let g = 32059 - k. Is g prime? True Let b be (18/(-15))/((-6)/15). Suppose 3*d = 3*j + 48, -69 = -4*d + 2*j - 3*j. Is d/(-5) + b + (-1941)/(-15) a composite number? True Let q be (-3)/4*(-9579 - 1). Suppose 0 = 5*n + 3*a - 19, -5*a = n - 4*a - 5. Suppose -n*j = -3*i - 4790, -i + 2*i - q = -3*j. Is j a composite number? True Let n(p) be the third derivative of -p**6/8 - 7*p**5/60 + p**4/24 - 46*p**3/3 + 11*p**2 - 4. Is n(-7) prime? True Let g = 1208128 - -583489. Is g a prime number? True Let x(p) = -8*p + 9. Let c be x(-3). Suppose -c*v + 30*v + 711 = 0. Is v a composite number? True Is (-186192)/(-64) + 3/(-12) composite? False Is 23789/(7/(-28) - 30/(-24)) prime? True Let x(l) = -4998*l + 513. Is x(-37) a composite number? True Suppose -9*s + 75 = -159. Is (515645/s)/(2/4) a prime number? False Suppose 2*w - 2 = 2. Suppose -4*q = -w*q - 116. Let z = q + 249. Is z a prime number? True Let h be 1*(-17)/(68/31640). Let z = h - -14031. Is z composite? False Suppose -149*f + 476*f - 8561322 = 12873855. Is f prime? True Is 2076874/14 - (-12)/(-10)*(-155)/217 composite? True Let a = 288841 + -94784. Is a prime? True Let c = -6215 - -9723. Is -2 + c + (-17 - -16) a composite number? True Let p = -846090 + 1424179. Is p a composite number? True Let i be (18009/(-138))/(1/(-106)). Let k = i + 1718. Is k a prime number? True Suppose 2501*p = 2458*p + 23695537. Is p a composite number? False Let v be ((-1380416)/(-20))/8 - 2/(-5). Suppose 3*j - v = 5877. Suppose -6*d + j = -d. Is d a composite number? False Suppose 14*i = -14*i + 3840310 - 200226. Is i a composite number? False Let d be (-3)/2 + (135/6)/15. Suppose d*y + 9378 = 6*y. Is y composite? True Suppose 4*d = -4*w + d, -w + 2*d = -11. Suppose -5*j + 4150 = 4*i - 11839, w*i + 3194 = j. Is j a composite number? True Let j = 1053326 + -634897. Is j a composite number? True Let s(g) = -551*g - 3. Suppose 0 = 2*y - x + 82, -123 = 3*y + 2*x - x. Let z = y - -39. Is s(z) prime? False Let u = 97039 - 9246. Is u a composite number? False Let u(b) = 201*b**2 + 22*b + 443. Is u(-12) prime? True Suppose 5*r - 81200 = 5*k, -3*k - 9833 = -4*r + 55124. Is r a composite number? True Suppose 454*b = 467*b - 10293205. Is b a prime number? False Let n(g) = 493*g**2 - 116*g - 3971. Is n(-24) a prime number? False Is (-3 + 7)/(1511856/(-188988) - -8) prime? True Is (-4)/86 - 348703020/(-516) prime? True Let y = 28974 + 76631. Is y prime? False Let y = -374955 - -799178. Is y a composite number? False Let d = -3444 + 766. Let s = -951 - d. Is s a composite number? True Suppose 56242308 = -1201*b + 1325*b. Is b prime? False Let o(l) = -l**3 - 56*l**2 + 245*l - 67. Is o(-63) a prime number? True Let n be 172/(-6)*3/(-2). Suppose n*h - 128868 = 31*h. Is h a composite number? False Let c(b) = 27*b**2 - 58*b**2 + 32*b**2 + 7817 + b + b**3. Is c(0) prime? True Suppose 1903874 + 25792001 = 125*r. Is r prime? True Let w(c) = -15*c - 58. Let t be w(-4). Is (-28)/13 + t - (-5112790)/130 composite? True Let h = -766 + 787. Let n(b) = b**3 - 21*b**2 + 40*b - 38. Is n(h) a prime number? False Let l be 0 + 1 - (-39 - -17). Let x = 13 - l. Is (-7692)/x - (-1 + (-24)/(-20)) a prime number? True Suppose -4*k + 2*k + 3*k = 0. Suppose l - 8937 - 854 = -4*b, k = -3*l - 15. Is b a prime number? False Suppose 358 = -4*v - 718. Suppose a - 862 + 46 = -l, -l + 2*a = -810. Let m = v + l. Is m prime? False Let b(g) = 104*g**2 + 17*g + 54. Is b(-5) a composite number? True Suppose 0 = 3*s - b - 665531, 17*s = 14*s + 3*b + 665535. Is s a composite number? True Suppose 17*x + 6161 = -11910. Let q = x - -1802. Is q prime? True Let q(i) = 105015*i**2 + 28*i. Is q(-1) a prime number? True Suppose o - 6*o = 5*b + 20, b - 2 = -3*o. Is (-6 - (b + 1)) + (-7085)/(-5) prime? False Let u = -30998 - -52137. Is u prime? True Suppose 4*j = j + 5*x + 8130, 0 = 5*x. Let f = j + -1269. Is f composite? True Let b = -20 - -23. Let j(i) = -42*i**2 + 172*i**2 - 5 + 3*i + 26*i**2 + b. Is j(-3) a composite number? True Suppose -4*c = -5*z - 12652, 30*c + 3*z - 12620 = 26*c. Is c a prime number? False Suppose -13*y - 30807 = -16*y. Suppose -4*d = -4*n + 23324, 5*n + 4*d = 18904 + y. Is n a composite number? True Let g be -267*(1/(-3) + (-6 - -6)). Let c = -89 + g. Suppose -4*l + 2*l - 4*y + 622 = 0, -4*l - 2*y + 1262 = c. Is l a prime number? True Suppose 2*s = 4*i - 28, 7 = 5*i - 4*i + 3*s. Suppose 0 = -i*z - 26840 + 93571. Is z a composite number? False Suppose -38*r - 553106 = -40*r - 4*u, -553088 = -2*r + 2*u. Is r prime? False Suppose -7*k + 37200 = -10*k - 5*c, -12 = -4*c. Let y = -6796 - k. Is y composite? True Let a = -18702 - -11866. Let o = -4093 - a. Is o a composite number? True Let x(n) = -18*n - 26. Let q be x(-3). Suppose -93214 = -10*a - q*a. Is a composite? True Let v(o)
{ "pile_set_name": "DM Mathematics" }
*y**2 - 36*y**2 + 30. -4*y**2 + 31 Collect the terms in 7*c**3 + 4*c**3 - 6*c**3. 5*c**3 Collect the terms in -2*f - 12*f + 3*f. -11*f Collect the terms in 53*x - 35*x - 29*x. -11*x Collect the terms in -40 + 19 - 5*l + 21. -5*l Collect the terms in -78*l + 156*l - 76*l. 2*l Collect the terms in -5*v**3 + v**3 - 7*v**3 + 9*v**3. -2*v**3 Collect the terms in -25*s**2 + 42*s**2 - 26*s**2. -9*s**2 Collect the terms in -34*u**3 - 47*u**3 + u**3. -80*u**3 Collect the terms in -1 + 1 + 29*k - 37*k. -8*k Collect the terms in -2*r**2 + 94 + 81 - 195. -2*r**2 - 20 Collect the terms in -5*o**2 + 2*o**2 + 6*o**2 + 0*o**2. 3*o**2 Collect the terms in 4*u - u + 8*u - 11*u + 4*u. 4*u Collect the terms in -14*v - 4*v + 7*v + 3*v. -8*v Collect the terms in 3*m**3 + 1479*m - 1479*m. 3*m**3 Collect the terms in -2139*x**2 + 1068*x**2 + 1067*x**2. -4*x**2 Collect the terms in 0*h**2 - 8716 + 8716 + 2*h**2. 2*h**2 Collect the terms in -m - 8 + 1 + 8 - 1. -m Collect the terms in 41*z**2 - 30*z**2 + 28*z**2 + 19*z**2. 58*z**2 Collect the terms in 70*n + 5*n**2 - 70*n + 6. 5*n**2 + 6 Collect the terms in -255*u**3 - 6 + 258*u**3 + 6. 3*u**3 Collect the terms in -12*r**2 - 12751*r + 12751*r. -12*r**2 Collect the terms in -1 + 3579*n + 1. 3579*n Collect the terms in -6*d**2 - 74 + 74 - 6*d**2. -12*d**2 Collect the terms in 112*g**3 + 461*g**3 + 201*g**3 - 3*g**2. 774*g**3 - 3*g**2 Collect the terms in -m + 12*m**2 - 28*m**2 + m. -16*m**2 Collect the terms in -3*p**2 + 4*p**3 + 7*p**3 - 6*p**3. 5*p**3 - 3*p**2 Collect the terms in 2*g - 4 + 5 + g + 1. 3*g + 2 Collect the terms in 32*r - r - 26*r - 3*r. 2*r Collect the terms in 113 - 113 + k**2. k**2 Collect the terms in 3 + 1 + 2*a**2 + 2*a**2 + 0*a**2. 4*a**2 + 4 Collect the terms in 86*z - 168*z + 82*z + 18*z**2. 18*z**2 Collect the terms in 11*g**3 - 236*g**3 - 153*g**3 + 68*g**3. -310*g**3 Collect the terms in -y**2 + y**2 + 399*y**3. 399*y**3 Collect the terms in -6*x + 4*x + 88 - 88. -2*x Collect the terms in -311*m + m**2 - 5*m**2 + 2*m**2. -2*m**2 - 311*m Collect the terms in 2*i - 2*i + 6*i**2 + 0*i**2. 6*i**2 Collect the terms in -96*g**2 + 2*g + 19*g**2 - 9*g**2. -86*g**2 + 2*g Collect the terms in 2808*v**3 + 2804*v**3 - 5617*v**3. -5*v**3 Collect the terms in 421*o + 470*o + 377*o. 1268*o Collect the terms in -11*m**3 - 48*m**2 - 3*m**3 + 48*m**2. -14*m**3 Collect the terms in 594*z + 592*z - 2*z**2 - 1186*z. -2*z**2 Collect the terms in -34673*g**3 + 69345*g**3 - 34674*g**3. -2*g**3 Collect the terms in 2708 - 2708 - j**2. -j**2 Collect the terms in 7*l**2 + 15*l**2 - 13*l**2 + 20*l**2. 29*l**2 Collect the terms in 55 + 6*t**2 - 9 - 2*t**2. 4*t**2 + 46 Collect the terms in -10*w + 2 - 1 + 13*w. 3*w + 1 Collect the terms in -r - 18 + 6*r + r - 2*r. 4*r - 18 Collect the terms in -11*v + 4 - 4 - 3. -11*v - 3 Collect the terms in -3*j**3 - 5054*j + 5054*j. -3*j**3 Collect the terms in -j**3 - 18*j - 17*j - 35*j. -j**3 - 70*j Collect the terms in 252 - 11*t - 252. -11*t Collect the terms in 55*p + 103*p - 3 + 4 + 15*p. 173*p + 1 Collect the terms in -92*g**2 + 65*g**2 - 127*g**2. -154*g**2 Collect the terms in j**2 - j**2 - 1029*j + 1029*j - 3*j**3. -3*j**3 Collect the terms in -5*b + 5*b + 213*b**3 - 211*b**3. 2*b**3 Collect the terms in 16*z**3 + 3*z**2 - 12*z**2 - 17*z**3 + 9*z**2. -z**3 Collect the terms in -26*u - 2 + 2 - 29*u. -55*u Collect the terms in 19*w**3 - 7*w**2 + 11*w**2 - 4*w**2 - 1. 19*w**3 - 1 Collect the terms in -t + 6767*t**2 + t - 6760*t**2. 7*t**2 Collect the terms in 0 - 18*r - 196*r + 0. -214*r Collect the terms in -2*g**2 - 4*g**2 + 11*g**2. 5*g**2 Collect the terms in -35 + 35 + 89*f**2. 89*f**2 Collect the terms in 75*p**2 + 75*p**2 - 224*p**2 + 76*p**2. 2*p**2 Collect the terms in 19*b**2 - 7*b**2 - 5*b**2. 7*b**2 Collect the terms in -2*u**2 - 12 + 39*u**3 + 12. 39*u**3 - 2*u**2 Collect the terms in -433*p**3 + 429*p**3 - p + p. -4*p**3 Collect the terms in -49*o**2 + 94*o**2 - 45*o**2 + 64*o**3. 64*o**3 Collect the terms in -17*x**2 - 6*x**2 + 117*x**2. 94*x**2 Collect the terms in -3*z**3 + 0*z**3 - 59*z**2 + 59*z**2. -3*z**3 Collect the terms in 3 - 17 - 15*u**2 + 14. -15*u**2 Collect the terms in 298*u + 298*u - 596*u - 8*u**2. -8*u**2 Collect the terms in -8*p + 6882 - 6882. -8*p Collect the terms in 233*d**2 + 57*d**2 + 174*d**2. 464*d**2 Collect the terms in -4*b + 3*b + 3 + 0*b. -b + 3 Collect the terms in 6*n + 3*n**2 + 13*n - 19*n. 3*n**2 Collect the terms in 19*m**2 + 16*m**2 + 18*m**2. 53*m**2 Collect the terms in -2*w**3 + 87 - 327 + 240. -2*w**3 Collect the terms in 2*m + 8478 - 8478. 2*m Collect the terms in 6 + 1291*y - 5 - 1. 1291*y Collect the terms in -3*f**2 + 6*f**2 - 5*f**2. -2*f**2 Collect the terms in -3873*d**3 + 3877*d**3 - 2*d**2 + 12*d**2 + 0*d**2. 4*d**3 + 10*d**2 Collect the terms in -2 + 47290*v**2 + 2 - 47291*v**2. -v**2 Collect the terms in -2*l**2 - 18*l**2 + 8*l**2 - 5*l**2 + 2*l**2. -15*l**2 Collect the terms in -35 + 20*g + 60 - 28. 20*g - 3 Collect the terms in -8*m + 20*m - 29*m. -17*m Collect the terms in -8*t**2 + t**2 + 2*t**2 + 9*t**2 + 0*t**2. 4*t**2 Collect the terms in -32*n**2 - 24*n**2 + 62*n**2. 6*n**2 Collect the terms in 3*v**2 + 95 - 3*v + 3*v - 86. 3*v**2 + 9 Collect the terms in 24*u**2 - 2*u + 8*u - u. 24*u**2 + 5*u Collect the terms in -131018 + 131018 - 3*i. -3*i Collect the terms in -13*z**3 + 5*z**3 + 5*z**3. -3*z**3 Collect the terms in 22*n**3 + 128*n - 128*n - 7*n**3. 15*n**3 Collect the terms in -59*p**2 - 16*p**2 + 72*p**2. -3*p**2 Collect the terms in -18*l - 10 + 33*l + 10. 15*l Collect the terms in 29*b - 13*b - 13*b. 3*b Collect the terms in 274*v**2 + 269*v**2 - 547*v**2. -4*v**2 Collect the terms in -16*q - 9 + 6 + 3. -16*q Collect the terms in -9888*l + 732*l + 836*l. -8320*l Collect the terms in -5*g**3 + 12*g**3 + 19*g**3 - 3*g**3. 23*g**3 Collect the terms in 10199*n - 10199*n - 11*n**2. -11*n**2 Collect the terms in -170*x**2 - 2 + 3*x + x - 4*x. -170*x**2 - 2 Collect the terms in -63*u**3 + 125*u**3 - 58*u**3. 4*u**3 Collect the terms in -143*l**2 + 256*l**2 + 283*l**2. 396*l**2 Collect the terms in -8*g**2 + 7*g**2 + 34*g**3 + g**2. 34*g**3 Collect the terms in 47*l - 8 + 0*l - 42*l + 8. 5*l Collect the terms in o**2 + 6*o - 5*o**2 + 3*o - 11*o. -4*o**2 - 2*o Collect the terms in -967*i**2 + 1936*i**2 - 971*i**2. -2*i**2 Collect the terms in -24 - 291*d + 142*d + 148*d. -d - 24 Collect the terms in -3 - 5 - 4 + 6*l. 6*l - 12 Collect the terms in 17487*o + 3*o**2 - 17487*o - o**2. 2*o**2 Collect the terms in -p - 1029 + 0*p + 1029 + 3*p. 2*p Collect the terms in -4*n**2 - 6*n**2 + 3*n**2. -7*n**2 Collect the terms in 3*g - 3*g + g**2 - 2*g**2. -g**2 Collect the terms in 0*r**3 - r**3 + 144 - 144 - 23*r. -r**3 - 23*r Collect the terms in 3*h + 11 - 75 - 55 - 48. 3*h - 167 Collect the terms in -3*l**2 + 16*l**2 - l**2 - 8*l**2. 4*l**2 Collect the terms in -54*b**3 + 25*b**3 + 27*b**3. -2*b**3 Collect the terms in 4*v**2 + 5*v**2 - 23*v**2 + 12*v**2. -2*v**2 Collect the terms in -6*k**2 - 4*k**2 + k**2. -9*k**2 Collect the terms in 167*k + 164*k - 331*k - 2*k**2. -2*k**2 Collect the terms in -28 + 33 - 5 + 24*p. 24*p Collect the terms in -166 - 166 - 6*j + 332. -6*j Collect the terms in 68*k**3 - 13*k**3 - 16*k**3 - 15*k**3 - 14*k**3. 10*k**3 Collect the terms in 5 - 2*z + z + 1. -z + 6 Collect the terms in 814*h - 406*h - 408*h + h**2. h**2 Collect the terms in -12*k**3 + 72*k**3 + 54*k**3. 114*k**3 Collect the terms in y + 8*y - 14*y + 28*y. 23*y Collect the terms in 6 + 6*g**3 + 3*g**3 - 6. 9*g**3 Collect the terms in 5*l + 7*l + 7*l - 8*l. 11*l Collect the terms in -110*w - 115*w + 224*w. -w Collect the terms in -266*j**2 + 266*j**2 + 24*j**3. 24*j**3 Collect the terms in 80 - 80 - 4*z. -4*z Collect the terms in -3*a**2 + 5*a**2 - 39 + 234. 2*a**2 + 195 Collect the terms in 16 - 23 + 8*d + 7. 8*d Collect the terms in -12179*c + 12179*c - 14*c**2. -14*c**2 Collect the terms in 69*o**2 - 33*o**2 - 31*o**2. 5*o**2 Collect the terms in -44 + 6*u + 44. 6*u Collect the terms in -18201*l**3 + 36396*l**3 - 18199*l**3. -4*l**3 Collect the terms in -7*r - 42*r + 43*r. -6*r Collect the terms in -2*i**2 - 15*i - 28*i + 43*i + 3. -2*i**2 + 3 Collect the terms in -9*t + 33*t - 12*t - 12*t - 7*t**3. -7*t**3 Collect
{ "pile_set_name": "DM Mathematics" }
8. Let i = w - 29. What is i rounded to three decimal places? -0.009 Let q be ((-9640)/32 - -20)*519360/(-1). Round q to the nearest one million. 146000000 Let c = -2.5 + 1.71. Let a = c + 0.03. Round a to one decimal place. -0.8 Let l(y) = -y**2 - 9*y - 6. Let m be l(-8). Suppose -m*k + 1634 = -766. Let z be k/(194006/48500 - 4). Round z to the nearest one million. 10000000 Let g = -351 + -935. Suppose 550 = -3*y - 4*l, -2*y + l + 556 = -5*y. Let w = g - y. What is w rounded to the nearest one thousand? -1000 Suppose 0 = 3*x - 4*c + 5134, -3*x - 5179 = 31*c - 26*c. Round x to the nearest 10. -1720 Let o = 3.8 - 9. Let h = 8.5 + o. What is h rounded to the nearest integer? 3 Let q = -76 + 55. Let o be (-10)/(-35) + (1476/q - -3). Round o to the nearest 10. -70 Let g = 31.77057597 - -0.22942603. Let s = -32 + g. Round s to 6 decimal places. 0.000002 Let x = 1.978 - 1.995856. What is x rounded to 4 dps? -0.0179 Let n = -4.8 + -14.2. Let h = -18.97 - n. Let s = -0.0294 + h. Round s to four decimal places. 0.0006 Suppose 15022353 = 20*b - 1177647. Round b to the nearest one million. 1000000 Let b = -1574 + 1573.6777. What is b rounded to one dp? -0.3 Let u = 402 - 402.0313. Round u to two dps. -0.03 Let j = 14492.9936 + -14505. Let n = -1.8 - 10.2. Let x = n - j. What is x rounded to three dps? 0.006 Let b = -3 + 7. Let t = b - 0. Suppose -t*x = -6*x - 314. What is x rounded to the nearest ten? -160 Suppose 4*q + 7 = -1. Let h be 0*3/6 - q. Let j(z) = 74*z**3 + 2*z**2 - 2*z + 4. Let t be j(h). Round t to the nearest one hundred. 600 Let p(q) = q - 1. Let k be p(4). Suppose -k*i - 37007 - 13408 = -2*n, -n + 2*i + 25210 = 0. Round n to the nearest one thousand. 25000 Let b be ((-4500)/(-42))/(5/(-251860)). What is b rounded to the nearest one hundred thousand? -5400000 Let v = 527.196 + 0.804. Let l = -573.9 + v. What is l rounded to the nearest ten? -50 Let y = -33.976 - -36. Let w = -2 + y. Let i = w + 0.206. Round i to 1 decimal place. 0.2 Let f(a) = a**2 - 10*a - 6. Let p be f(11). Suppose i - x = 2*x + 4791, -4815 = -i - p*x. What is i rounded to the nearest 10000? 0 Let m = 0.151 + -171.151. Let l = 171.0000218 + m. What is l rounded to six decimal places? 0.000022 Let o(t) = 658018*t - 3. Let b be o(2). Suppose -5*f - b - 7883967 = 0. What is f rounded to the nearest one hundred thousand? -1800000 Let u be ((-4)/(-10))/(8/(-280)). Let o be (-2)/(-1) - 1862/u. Round o to the nearest ten. 140 Let x = -353130631819193.1000021 - -353130488398431.1. Let m = x + 143420749. Let z = m - -13. What is z rounded to six dps? -0.000002 Let q = -5644981 + 5644980.5210291. Let t = 0.479 + q. Round t to five decimal places. 0.00003 Let w = -387935.9831 - -388123. Let b = 187 - w. Round b to 3 decimal places. -0.017 Suppose 531699 = 3*v - 3*o, -4*v - 708959 = -8*v - 5*o. Let m = -62861 + v. Let x be 4*80*m/(-6). Round x to the nearest 1000000. -6000000 Let c(f) = -1103*f + 43. Suppose 0 = 6*b - 11*b - 95. Let j be c(b). What is j rounded to the nearest 10000? 20000 Let w = -42 - -41.575. Let u = 0.174 + w. Let l = 0.24 + u. What is l rounded to two dps? -0.01 Let u(a) = -a + 3. Let l be u(5). Suppose 0*p - 6 = -2*p + 2*g, -5*g + 25 = 0. Let v be (-3)/12 - l/p. What is v rounded to one dp? 0 Let l = 625.73 - 622. Let c = l - 0.67. Let z = c + -0.26. Round z to the nearest integer. 3 Let s = 12.26 + -12.2. Let c = 0.23 - s. What is c rounded to one decimal place? 0.2 Let d = 327.08 - 328.4657. What is d rounded to two dps? -1.39 Let a = 7869 + -7869.00004341. What is a rounded to 6 decimal places? -0.000043 Let n = -462708314714858 + 462708292345627.7999953. Let t = 22369220.5 + n. Let m = t + 9.7. What is m rounded to six decimal places? -0.000005 Let d(k) = -184499*k**3 - 2*k**2 - k + 2. Let g be d(2). What is g rounded to the nearest ten thousand? -1480000 Let h = 0.03 + 0.7805. What is h rounded to 2 dps? 0.81 Let w = -25388 + 12088. Round w to the nearest one thousand. -13000 Let b = 450.0685 - 450. Round b to two dps. 0.07 Let u = -4022.9994391 + 4023. Round u to 5 dps. 0.00056 Let a = 15 - 16.7. Let l = 1.672 + a. Let s = l + 0.0279954. Round s to 6 decimal places. -0.000005 Let c be 163099972/70 - (7/(-5) + 1). What is c rounded to the nearest 100000? 2300000 Suppose 138883844 = -p - 3*p - 5*m, m - 104162883 = 3*p. Let i = p - 28079039. What is i rounded to the nearest 1000000? -63000000 Let b(s) = s**3 - 3*s**2 - 7*s + 7. Let l be b(4). Let p be 22738099 + l/((-15)/(-9)). Suppose p + 43261904 = 6*g. What is g rounded to the nearest one million? 11000000 Let o = -4.1 - -23.1. Let k = -19.00000345 + o. What is k rounded to 6 decimal places? -0.000003 Let m = 0.95696 - 0.938. Round m to three dps. 0.019 Let a = 1.917 + -2.03. Let y = a - 2.607. Let v = y - -0.22. What is v rounded to the nearest integer? -3 Let n(a) = 722*a**2 - 9*a - 5. Let c be n(5). Round c to the nearest one thousand. 18000 Let s = -1309.00000433 - -1309. What is s rounded to six dps? -0.000004 Let k(a) = 98844*a**2 - 6*a - 6. Let z be k(7). Let x = -8163308 + z. Round x to the nearest one hundred thousand. -3300000 Let o = 39.9 - 31.54. Round o to 1 dp. 8.4 Let r = 1.054 + -0.479. What is r rounded to 1 decimal place? 0.6 Suppose -1 = -4*z + 3*z, 4*v = 3*z + 4629. Suppose 8*a - 3050 = v. Round a to the nearest 100. 500 Let q = -139.00000035 - -139. Round q to 7 dps. -0.0000004 Let m = -341.79 - -344. Let d = 1.944 - m. Round d to 2 decimal places. -0.27 Suppose 2*r - 1196 = 62. Suppose -2*w = 5*p - 673 - 334, p = -4*w + 205. Let b = r + p. Round b to the nearest one hundred. 800 Let o = 2424 + -2424.1027. Round o to two decimal places. -0.1 Let a = -95 + 103.26. Round a to 0 decimal places. 8 Let h be (136/(-56) - (-3)/7)*-5061000. Round h to the nearest 100000. 10100000 Let p = 0.15 + -0.1. Let x = 200 - 200.08. Let w = x - p. Round w to 1 dp. -0.1 Let k = 223 - 148. Let c = 75.000041 - k. What is c rounded to six decimal places? 0.000041 Suppose 144000000 = -2*k - 2*k + 5*h, -2*h = 0. What is k rounded to the nearest 1000000? -36000000 Let p = 0.056 + 0.033. Let d = p + -0.088963. What is d rounded to 5 decimal places? 0.00004 Let g = -3079 - -3089.304. Round g to one decimal place. 10.3 Let c be (-791976)/(-10 - -7) - (-1 - 7). What is c rounded to the nearest ten thousand? 260000 Let g(u) = 8*u - 5. Let l be g(1). Suppose -v - 10000005 = -5*j, 0*j - 2*j + l*v + 4000015 = 0. Round j to the nearest one million. 2000000 Let p = 0.01418 + 22240.98582. Let n = p + -22244.2026. Let w = 3.2 + n. What is w rounded to three dps? -0.003 Let o(h) = 46*h + 12. Let l be o(3). Let v be (32*-4)/(3/l). Round v to the nearest 1000. -6000 Suppose 0 = -f - 2*t - 26679990, -36*t + 40*t - 20 = 0. Round f to the nearest one hundred thousand. -26700000 Let t = -0.88777239 - -0.8877. Round t to 5 decimal places. -0.00007 Let v = 0.2538 + -0.24155. Round v to 3 dps. 0.012 Let z = -1122.5 + 1174. What is z rounded to the nearest 10? 50 Let k = 0.762 - 0.762638. Round k to five decimal places. -0.00064 Let t = 372.62 + -377. What is t rounded to one decimal place? -4.4 Let t be (-1 + -1 - -2)/(-1). Let s be -38*(t/2 + 100). What is s rounded to the nearest one thousand? -4000 Let n = -1836144803 + 1053152959. Let b = n - -782991860.00000004. Let w = -16 + b. What is w rounded to seven decimal places? 0 Let j be (-2 + (-32)/(-20))*-20. Let o = -8 + j. Suppose k + k - 54800 = o. Round k to the nearest one thousand. 27000 Let v = -0.065 + 0.1. Let m = v + 4.565. Let t = -4 + m. Round t to the nearest integer. 1 Let m = -151.04443695 - 0.37847305. Let p = m - -151.35290943. Let a = p + 0.07. Round a to seven dps. -0.0000006 Let c = -260.2 + 260.5169. Round c to two dps. 0.32 Suppose -4*a = 77562 + 96038. What is a rounded to the nearest 10000? -40000 Suppose 449 = 10*r - 3221. What is r rounded to the nearest 10? 370 Suppose -4*v = -8 - 8. Suppose 3*x + 4*a = 14, 5*x - a - 5 = -v*a. Let q be -1019 + (x/(-2) - 2). What is q rounded to the nearest one hundred? -1000 Let n = 1.67 + -1.836. Let x = n + 0.21. Round x to 2 dps. 0.04 Let b = -312.91 + 290. Round b to the nearest integer. -23 Let w = -223 - 999. Let d = -1221.999489 - w. What is d rounded to 5 decimal places? 0.00051 Let v(i) = -i**3 + 7*i**2 + 1
{ "pile_set_name": "DM Mathematics" }
is the third smallest value? (a) -3 (b) -0.4 (c) n c Let t = 4 - 7. Let w be ((-15)/9)/(2/t). Let n = 2.01 + -0.01. What is the smallest value in n, w, 4? n Let i be 6/20*35/42. Let v = -5 - -5.6. Let z = -0.5 + v. What is the second smallest value in i, -4, z? z Let u = -5615/11 + 511. Which is the second biggest value? (a) 4 (b) u (c) 1 c Let z = -1171 - -1165.97. Let i = -0.03 - z. What is the smallest value in i, -2, -0.4? -2 Let b = 112 - 108. Let m = -0.2 - 0. What is the smallest value in -3, b, m? -3 Let x = -116.6 + 117. What is the third biggest value in -1/23, -0.5, x? -0.5 Suppose 2*g = 3*g. Which is the biggest value? (a) g (b) 2 (c) -0.5 b Let y = 3.7 + -4. Let m = 128 + -124. What is the second biggest value in m, y, -0.5? y Let d = -157.95 - -162. Let x = -0.05 + d. Let l = -30.2 - -30. What is the smallest value in l, 3, x? l Let a = 54 - 52. What is the third smallest value in -4, a, -3? a Suppose 5*g + 8 = 4*p, -2*p + 1 = -g - p. Let l be (g/30)/(1/(-5)). Which is the third smallest value? (a) 2 (b) l (c) 4 c Let l = 16 - 6.5. Let d = 10 - l. Which is the third biggest value? (a) 0.3 (b) d (c) -2 c Let g = 49 - 54. Which is the second smallest value? (a) g (b) 4/5 (c) 3 b Let g = 15 + -11. Suppose 2*p - 16 = g*x, 6*x + 24 = 4*p + 2*x. Let u = 1 + p. What is the second smallest value in -0.3, -0.5, u? -0.3 Let p = 196/3 + -65. Let d be (-23)/(-28) + 3/(-12). Let o = -0.36 - 0.04. What is the biggest value in o, p, d? d Let j = 0.24 - 2.24. What is the biggest value in j, 4, -5/3? 4 Suppose h - 5 = r, -h + 17 = -5*r - 4. What is the smallest value in 1, 3, 0.4, r? r Let w = -5 + 7. Let f = -1 + w. What is the smallest value in 0.1, 2/11, f? 0.1 Let a = -11 - -8. Let f = -4 + 8. Let j = 4/41 - 61/205. What is the biggest value in a, j, f? f Let a be (-80)/(-36) - 4/18. What is the smallest value in -5, a, 3? -5 Let n = 1.2 - 1.6. Which is the biggest value? (a) -3 (b) 1/4 (c) n b Let t = -590/7 + 84. Let z = -13 + 11. What is the second smallest value in t, z, -1/5? t Let u = 140 - 145. What is the second biggest value in u, 2, -2? -2 Let k = -4 + 6. Let a(r) = r**2 - r - 20. Let g be a(0). Let h be (-3)/2*g/45. What is the second smallest value in h, 0, k? h Let q be (-8)/10*(-10)/4. Let f be 42/15 + -1 + -1. Which is the smallest value? (a) q (b) 1/8 (c) f b Let m = -15.8 + 18.8. Let v be -2 - 8/22*-5. Let o = -51 - -359/7. What is the biggest value in o, v, m? m Let g = -13 - -11. What is the biggest value in g, 0.1, 0.3? 0.3 Suppose 5*l - 3*y + 405 = 0, 0 = -2*l + 4*y - 54 - 108. Let x = l - -727/9. Which is the third smallest value? (a) -1 (b) x (c) -5 b Let g = -9/7 + 31/35. What is the smallest value in 5, -0.06, g? g Let o = -64.17 + 67.2. Let p = 0.03 - o. Suppose 1 = -t - 3. Which is the third smallest value? (a) 0.2 (b) p (c) t a Let z be (1 - 1)/((-12)/12). Which is the smallest value? (a) z (b) -2 (c) -3 c Let r = 299/6 + -50. What is the biggest value in r, 4, -3? 4 Let x be (5/(-3))/(4 - 3). What is the biggest value in x, -0.7, 0.4? 0.4 Let s = -18 - -37/2. Which is the biggest value? (a) s (b) 0.2 (c) 0.02 a Let x be 20/6 - (-5)/(-15). Let r = -1.8 + 1.85. What is the third smallest value in 0, r, x? x Let u = 7 - 3. What is the second biggest value in u, 1, -1/10? 1 Let k be (6/(-15))/(12/20 + 0). Which is the biggest value? (a) k (b) -5 (c) 0 (d) 5 d Let d(i) = -i**3 - i**2 + i + 10. Let c be d(0). Let g = c + -12. What is the second smallest value in g, -3, 0? g Let t = 47/852 - -2/71. What is the second smallest value in 0.1, -2, t? t Let q = -6 + 5.6. Let f = 0.7 + q. What is the second smallest value in 0.1, f, 0.5? f Suppose i + 6 = -i. Let t be (5/20)/(i/10). Which is the third smallest value? (a) t (b) -1/5 (c) 5 c Let w be 8/12 - 4/(-3). Which is the second biggest value? (a) w (b) 5 (c) -2/9 (d) -6 a Let k be ((-2)/(-24))/((30/(-16))/5). Let m = 0.29 + 0.01. Which is the second biggest value? (a) -0.3 (b) k (c) m b Let g = 6 + -16. What is the third biggest value in 2/11, -5, g? g Let v = 18 + -17.6. Which is the smallest value? (a) v (b) 1 (c) -3/2 c Let x be 1/((22/(-168))/11). Let t be 44/(-105) + (-24)/x. Let w be (25/6)/(-5) - -1. What is the smallest value in t, -0.2, w? -0.2 Let v be 2/8 + 9/(-4). Let l = -25.8 - -26.8. What is the third biggest value in -0.2, v, l? v Let b = -79 - -79.4. Let o = 0 - 0.1. Let f = o - 2.9. What is the third biggest value in f, b, 1? f Let c = -1.7 - -11.7. What is the smallest value in -0.2, 0.3, c? -0.2 Let u = 0.8 - 1. Let t = -6.3 - -4.2. Let z = t + -0.9. What is the third smallest value in u, z, 0.4? 0.4 Let d be 0 + 9/(-21)*353. Let s = d + 151. Which is the second smallest value? (a) s (b) -0.5 (c) 0.5 a Let f be -4*(-4)/16 - -3. Let w(b) = b**2 - 2. Let k be w(2). Suppose -k*s = s. What is the second biggest value in 1, f, s? 1 Let o be (-2 - (-11)/4)/(-3). What is the second biggest value in o, 2/9, -2? o Let f = 0.26 - -0.74. Let j = 1.9 - f. Which is the second biggest value? (a) 1/3 (b) 4 (c) j c Suppose -4 = 2*o, -u - 3*o - 7 = -2*o. Let s = -6.7 - -7. Let k = 0.3 - s. Which is the smallest value? (a) -0.2 (b) k (c) u c Let p = -3.5 + 1.5. Let t = p - -2.4. What is the third smallest value in t, 2, -5/2? 2 Let x = 365/602 + -3/86. Which is the biggest value? (a) -2/7 (b) 0.3 (c) x c Let o be -2 + (36/8)/9. Let i be 2/(-1) + (-13)/(-5). Which is the second biggest value? (a) i (b) -0.5 (c) o b Let j = 0.337 - -0.063. Let o = 0.5 - 0. What is the second smallest value in o, 3, j? o Let o(q) = -q**2 + 4*q + 4. Let l be o(5). Let p = 28/15 + -61/30. What is the smallest value in -5, p, l? -5 Let m = 4 + -6. Let y = 3.6 - -0.4. Which is the smallest value? (a) y (b) -4 (c) m b Let o be 3*4/4 - (8 - 1). Which is the second smallest value? (a) 0.04 (b) 1 (c) o a Let g be ((-22)/(-36))/11*4. What is the third smallest value in g, 1, -1/11? 1 Let v be (((-231)/(-72))/(-7))/1. Let g = v - 1/24. Which is the smallest value? (a) -3/5 (b) 1/5 (c) g a Let d = 0 + -2. Let i = -3 - -5. Let y = -2.4 + i. Which is the third biggest value? (a) -1 (b) y (c) d c Let r = 5.07 + -0.07. Which is the third smallest value? (a) 0.4 (b) r (c) 2 b Let i be (-7)/(-2) - (20/5 - 0). What is the smallest value in 0.46, i, -1/3, 4/5? i Let r = 25 - 40. Let a = -11 - r. What is the third smallest value in a, -4, 0.3? a Let v(w) = -w**3 + 4*w**2 - 4*w - 1. Let l be v(3). Let b = -0.02 + 0.04. Let j = b - -4.98. What is the biggest value in j, -0.3, l? j Let q(g) = -g**3 + 13*g**2 - 2. Let o be q(13). What is the third biggest value in o, 2, -4? -4 Let g = -0.02 + 0.07. Let f = g - 0.08. Let i = 0.27 - f. Which is the smallest value? (a) i (b) 2 (c) -0.2 c Let x = -2/199 + -187/1194. Which is the second smallest value? (a) -3 (b) x (c) -1/5 c Let d = -0.5 - 2.5. Let r be (-2 - 15/(-6))*2. Which is the third biggest value? (a) 2 (b) d (c) r b Let m = 0.177 - 0.177. What is the fourth biggest value in 2/19, -2, 0.5, m? -2 Let u = 237/4 - 60. What is the biggest value in 0.5, 3, -0.4, u? 3 Let k = 0 + 0.1. What is the second smallest value in k, 0.4, 2/7? 2/7 Let d = -4.95 - -5. Let u = d + 0.15. Which is the biggest value? (a) -0.03 (b) u (c) 0.1 b Let o = -2.3 - 6.7. Let w = o - -9.8. Let h = -3.8 + w. What is the biggest value in 0.1, -5, h? 0.1 Suppose 27*o = 26*o - 5. Which is the third smallest value? (a) 65 (b) 4 (c) o a Let h = -12.3 + 12. Let i = 2/89 - 97/356. Which is the smallest value? (a) 0.2 (b) h (c) i b Let w be (-1)/(-3) - 33/45. Let q = 0.2 - 0.3. Let z = -4.1 - q. Which is the second smallest value? (a) -2 (b) w (c) z a Let i = -6 - -6.05. Let m = i - -0.35. Which is the third smallest value? (a) 2 (b) 1/4 (c) m a Let v be 14/(-18) + 8/(-24). Which is the second biggest value? (a) -1 (b) v (c) 0.5 a Let j = 13 + -13. Which is the biggest value? (a) j (b) 0.3 (c) -3 b Let f = 0 + 4. Let k = 0 - -0.01. What is the third biggest value in f, k, -3? -3 Suppose 4 + 0 = -2*z. Let n = -2.77 - 0.23. What is the third biggest value in 3/7, z, n? n Let m = -8 + 7.7. Let y = 950 - 945. Which is the smallest value? (a) y (b) m (c) 6 b Let p = 2.7 + -0.2. Let o =
{ "pile_set_name": "DM Mathematics" }
678 What is the next term in -35, 36, 163, 352, 609, 940, 1351, 1848? 2437 What comes next: -1349, -5519, -12503, -22295, -34889? -50279 What comes next: -922, -955, -988, -1021, -1054? -1087 What is the next term in 975, 1914, 2845, 3768? 4683 What is the next term in -1435, -1447, -1455, -1459, -1459, -1455, -1447? -1435 What is next in 658, 2419, 5290, 9271? 14362 What is next in 3253, 13062, 29411, 52300? 81729 What comes next: -813, -749, -685, -621, -557? -493 What comes next: -640, -1972, -3294, -4606, -5908, -7200, -8482? -9754 What is next in 21687, 86742, 195167, 346962, 542127, 780662, 1062567? 1387842 What comes next: -28800, -28802, -28804, -28806, -28808, -28810? -28812 What is the next term in -91643, -366564, -824761, -1466228, -2290959, -3298948? -4490189 What is the next term in -797, -1631, -2465, -3299, -4133? -4967 What comes next: -3055, -6122, -9213, -12340, -15515? -18750 What is the next term in 6190, 5674, 5156, 4636, 4114? 3590 What is next in 50, 78, 94, 98, 90? 70 What is next in 16238, 32480, 48708, 64916, 81098? 97248 What is the next term in -5284, -10598, -15944, -21328, -26756, -32234, -37768, -43364? -49028 What is next in 1738, 1767, 1796, 1825, 1854? 1883 What is the next term in 60511, 60491, 60473, 60457, 60443, 60431? 60421 What is next in 161, 546, 1187, 2084, 3237, 4646? 6311 What is the next term in 587, 2111, 4585, 7955, 12167, 17167? 22901 What is the next term in -753, -2025, -3817, -6129, -8961? -12313 What is the next term in 722, 987, 1246, 1499? 1746 What comes next: -55247, -55236, -55225? -55214 What is the next term in -2638, -2636, -2648, -2680, -2738? -2828 What is next in -42020, -42022, -42024, -42026? -42028 What is next in -552, -1218, -1884, -2550, -3216, -3882? -4548 What is next in 304, 374, 442, 508? 572 What is next in -1217, -2493, -3793, -5123, -6489? -7897 What is the next term in -5883, -5857, -5829, -5799, -5767, -5733? -5697 What is next in -218068, -218064, -218060, -218056? -218052 What comes next: 1309, 2616, 3923, 5230, 6537? 7844 What comes next: -8371, -8393, -8425, -8473, -8543, -8641, -8773, -8945? -9163 What is next in 638, 1251, 1866, 2483, 3102? 3723 What comes next: -766, -1516, -2268, -3022, -3778? -4536 What comes next: 361, 1411, 3157, 5605, 8761? 12631 What is next in -226079, -226092, -226119, -226166, -226239, -226344? -226487 What is next in 5284, 5225, 5136, 5005, 4820, 4569? 4240 What comes next: 4394, 4380, 4378, 4394, 4434? 4504 What is the next term in -541, -787, -1033, -1279, -1525, -1771? -2017 What comes next: -2221410, -2221411, -2221412? -2221413 What comes next: -2197, -2052, -1813, -1480, -1053, -532? 83 What is next in 43365, 43375, 43387, 43401, 43417, 43435, 43455? 43477 What is next in 458383, 458392, 458401? 458410 What comes next: -10281990, -10281992, -10281994, -10281996, -10281998, -10282000? -10282002 What is the next term in 7118, 7214, 7310, 7406, 7502, 7598? 7694 What comes next: -160787, -321574, -482361, -643148, -803935? -964722 What comes next: 923, 184, -1047, -2770, -4985, -7692, -10891? -14582 What is next in -189, -451, -713, -975, -1237, -1499? -1761 What is next in -4111, -16479, -37093, -65953, -103059? -148411 What is the next term in -332, -313, -298, -281, -256, -217, -158? -73 What is next in -3520, -3511, -3502, -3493? -3484 What is next in 358694, 358688, 358680, 358670, 358658? 358644 What is the next term in -211, -575, -939? -1303 What comes next: -443, -432, -411, -380? -339 What is next in -2140, -4338, -6540, -8746, -10956, -13170, -15388? -17610 What is the next term in -66, -281, -642, -1149? -1802 What comes next: 5398, 21696, 48850, 86854, 135702? 195388 What comes next: -1110, -1132, -1152, -1170, -1186? -1200 What comes next: 30, 39, 36, 21, -6, -45? -96 What is the next term in 115, 200, 261, 298, 311? 300 What is next in 2387, 4761, 7137, 9515, 11895, 14277, 16661? 19047 What comes next: 51, 440, 1519, 3630, 7115, 12316, 19575, 29234? 41635 What is next in -473, -840, -1207, -1574? -1941 What is the next term in -200, -396, -592, -788? -984 What is the next term in 5514, 5525, 5542, 5565, 5594? 5629 What comes next: -83, -58, -33, -8, 17? 42 What is the next term in -22324, -22325, -22326? -22327 What is the next term in 404, 482, 560, 638? 716 What is the next term in -535, -1334, -2133, -2932, -3731, -4530? -5329 What is the next term in -4780, -10380, -15982, -21586, -27192? -32800 What is next in 132695, 265387, 398079? 530771 What is next in 564, 569, 574, 579, 584? 589 What comes next: -480, -949, -1418? -1887 What is next in 13691, 27737, 41783, 55829? 69875 What is the next term in -140, -209, -264, -299, -308, -285, -224? -119 What is next in 2607, 5390, 8511, 12138, 16439, 21582? 27735 What is the next term in -3117, -12430, -27951, -49680, -77617, -111762? -152115 What is next in -1680, -6763, -15214, -27015, -42148, -60595? -82338 What comes next: -40, -327, -808, -1483, -2352, -3415? -4672 What comes next: -25244, -25238, -25232? -25226 What is the next term in 174, 370, 622, 948, 1366, 1894? 2550 What is next in -137789, -137790, -137791, -137792, -137793, -137794? -137795 What is the next term in -47448, -94897, -142346, -189795, -237244, -284693? -332142 What comes next: -721, -710, -685, -640, -569, -466, -325, -140? 95 What comes next: 190, 462, 818, 1264, 1806, 2450, 3202, 4068? 5054 What is next in 630, 2327, 5094, 8931, 13838, 19815? 26862 What is the next term in 34218, 34234, 34266, 34320, 34402? 34518 What is the next term in -142618, -142623, -142630, -142639, -142650, -142663? -142678 What is next in -353109, -353108, -353107? -353106 What comes next: -2087805, -2087810, -2087817, -2087826, -2087837? -2087850 What is next in 15525, 31052, 46579, 62106, 77633? 93160 What comes next: -822, -812, -802, -792, -782? -772 What is the next term in -4013, -8043, -12085, -16139, -20205, -24283? -28373 What is next in 464, 1848, 4152, 7376? 11520 What comes next: -15859, -31715, -47581, -63463, -79367? -95299 What comes next: -35009, -35017, -35025, -35033, -35041, -35049? -35057 What is next in -1845, -2953, -2597, -45, 5435, 14575? 28107 What is the next term in 727, 755, 793, 841? 899 What is next in -52, -154, -258, -370, -496, -642, -814? -1018 What comes next: 145847, 291690, 437531, 583370, 729207, 875042, 1020875? 1166706 What is the next term in 57895, 57900, 57905, 57910? 57915 What is the next term in 24718, 24712, 24702, 24688? 24670 What comes next: 383, 165, -199, -709, -1365, -2167? -3115 What is next in 781, 1507, 2221, 2917, 3589, 4231, 4837? 5401 What comes next: -18229, -72914, -164055, -291652? -455705 What is the next term in -4482131, -4482130, -4482127, -4482122, -4482115, -4482106? -4482095 What comes next: 236593, 236595, 236597? 236599 What comes next: -31296, -62592, -93888, -125184, -156480, -187776? -219072 What is the next term in 71, 221, 531, 1079, 1943? 3201 What is the next term in 1384, 1400, 1436, 1498, 1592? 1724 What comes next: 177522, 177521, 177520, 177519, 177518, 177517? 177516 What is next in 77, 67, 9, -97, -251, -453? -703 What is the next term in 3261, 3845, 4429, 5013, 5597, 6181? 6765 What is the next term in 766, 1530, 2294? 3058 What is next in -19335, -38701, -58067, -77433, -96799? -116165 What comes next: 300, 1219, 2772, 4977, 7852? 11415 What is the next term in -6622, -26480, -59576, -105910, -165482, -238292? -324340 What is the next term in 6289412, 6289413, 6289414, 6289415, 6289416, 6289417? 6289418 What comes next: -39, -290, -541, -792? -1043 What is the next term in 534, 1073, 1614, 2157, 2702? 3249 What is next in 1841, 2327, 2813? 3299 What is the next term in -6502, -6509, -6514, -6511, -6494, -6457? -6394 What comes next: 55780, 55778, 55776? 55774 What comes next: 6094, 12213, 18298, 24331, 30294, 36169? 41938 What is next in 1106, 1087, 1068? 1049 What is the next term in 2275, 8729, 19487, 34549, 53915? 77585 What is the next term in 146, 253, 518, 1019, 1834? 3041 What comes next: -4392, -8801, -13206, -17607, -22004, -26397, -30786? -35171 What is the next term in 57, 199, 341, 483, 625? 767 What comes next: -1176922, -1176925, -1176928, -1176931, -1176934? -1176937 What is the next term in 1166914, 1166917,
{ "pile_set_name": "DM Mathematics" }
+ 4*n**2 + 4. Let q be u(-4). Suppose f - 3 = 4*a + q, -f + 1 = -2*a. Let x = -2 - f. List the prime factors of x. 3 Let f(v) = 3*v**2 + 3*v - 17. What are the prime factors of f(9)? 11, 23 Suppose 10*l - 20 = 5*l. What are the prime factors of l/6*-3 + 21? 19 Let p = 23 - -35. List the prime factors of p. 2, 29 Let t(a) = a - 9. Let w be t(9). Suppose w*h = -h - 8. Let l(v) = -2*v - 4. List the prime factors of l(h). 2, 3 Suppose -5*w + 195 = 5*v - 190, 306 = 4*v + 5*w. List the prime factors of v. 79 Let u(b) = b**3 - 6*b**2 - 6*b - 5. Let v be u(5). Let f = v - -95. List the prime factors of f. 5, 7 Suppose 0 = -4*c - 4*f + 8 + 32, 4*c - 16 = 4*f. Let i = 13 - c. What are the prime factors of i? 2, 3 Let f = -3 + 1. Let t = f - -4. Suppose -3*c + 24 = 2*x, -5*c = -t*c. List the prime factors of x. 2, 3 What are the prime factors of -1 - (-1 + -2*11)? 2, 11 Suppose b = -b + 4. Let v(l) = l - 10. Let k be v(12). Suppose k*p - 3*p = 2*f - 29, -b*f + 23 = -5*p. What are the prime factors of f? 2, 7 Let o be (4 + -3)*84/2. Suppose 0 = -5*n + 20, 2*a + 0*n - o = -4*n. What are the prime factors of a? 13 Let x(f) = f**3 - 7*f**2 + 10*f - 8. Suppose 0 = -3*b - 3*p + 3, -8*b = -3*b - 5*p - 55. List the prime factors of x(b). 2 Let n be 3/(-18)*2*3. Let x = 7 + n. What are the prime factors of x? 2, 3 Let f be (-14)/(-8)*(1 - 5). Let p = f + 22. What are the prime factors of p? 3, 5 What are the prime factors of (85/(-3))/(-1 + (-10)/(-12))? 2, 5, 17 Let p = 198 - 136. Let y = p + -35. What are the prime factors of y? 3 Let s = -35 + 71. What are the prime factors of s? 2, 3 Let s(c) = -7*c - 2 - 3 + 5. What are the prime factors of s(-2)? 2, 7 Suppose -d = 4*n - 21, -3*d - 3*n + 19 = -2*n. Suppose 0 = g - d*g + 44. Suppose 3*i - 13 = -3*l - 2*i, 0 = 2*l + i - g. List the prime factors of l. 2, 3 Let l = 17 + -27. Let g(w) = -2*w**2 - 3*w - 3. Let b(i) = -5*i**2 - 10*i - 10. Let v(s) = l*g(s) + 3*b(s). What are the prime factors of v(1)? 5 Suppose 0 = -3*j - 0*j + 36. Suppose -3*q = -6*q - j. What are the prime factors of (q + -1)*18/(-10)? 3 Suppose -25 + 0 = -b. Suppose 2*j + 3*j = b. List the prime factors of j. 5 Let z be 9/12 + (-23)/4. Let t be 3*(-4)/(-30)*z. What are the prime factors of t/(-5) - (-476)/35? 2, 7 Suppose -5*h - 5*g + 0*g + 20 = 0, -5*g = -5*h - 20. Suppose 5*t - t = h. Suppose 0 = -2*d - t*d + 30. List the prime factors of d. 3, 5 What are the prime factors of 33/(-198) - (589/(-6) - 1)? 3, 11 Let w = -44 - -94. Suppose -14 = 4*l - w. What are the prime factors of l? 3 Let p(a) = a**3 - 15*a**2 + 18*a - 17. What are the prime factors of p(14)? 3, 13 Let m = -6 - -8. Suppose -5 = -i + m. What are the prime factors of i? 7 Suppose 0 = 2*m + 6 + 6. Let s(u) = u**3 + 5*u**2 - 6*u + 5. Let w be s(m). List the prime factors of 3 + (w - 0/(-2)). 2 Suppose 0 = 3*u + 68 - 509. What are the prime factors of u? 3, 7 Let v be (-6 - -34)*(-1)/(-1). Suppose -3*z = 3*s + v - 133, 4*z - 122 = 2*s. Let p = z + -16. List the prime factors of p. 2 Suppose 4*j - 813 = 723. What are the prime factors of j? 2, 3 What are the prime factors of (-211)/(-3) - (4/(-3))/(-4)? 2, 5, 7 Let y be (17 + -2)/((-6)/4). What are the prime factors of 5/y + 171/6? 2, 7 Suppose 0 = 4*x - 4*n - 4, -7 = -0*x - 2*x - 3*n. What are the prime factors of x? 2 List the prime factors of 8/(8/(-4)) + 187. 3, 61 Suppose 4*i - 360 = -4*y - 120, 3*y - 56 = -i. What are the prime factors of i? 2, 31 List the prime factors of 0 - -1 - 3 - (-87 + 9). 2, 19 Let m = 100 + -67. What are the prime factors of m? 3, 11 Suppose -4*w = 3*v - 10, v + 4*v - 11 = -w. Suppose -5*f - 4*k = -97, -k - 1 = w. Let c = -12 + f. List the prime factors of c. 3 Let n(b) = -6*b + 21. What are the prime factors of n(-14)? 3, 5, 7 Let n = 68 - 34. List the prime factors of n. 2, 17 Suppose 2*u + u - 38 = -n, -179 = -5*n - 4*u. List the prime factors of n. 5, 7 What are the prime factors of 34*-1*(3 + -4)? 2, 17 Let o be (1/2)/((-5)/60). Let i(q) = -q - 3. Let a be i(o). Suppose -a*s - 2*v = -5*v - 39, -3*v = -2*s + 27. List the prime factors of s. 2, 3 Suppose -5*f + h + 58 = 0, 30 = f + 2*f - 3*h. List the prime factors of f. 2, 3 List the prime factors of 7/(-3 - -1 - 33/(-16)). 2, 7 Suppose -v = -0*v - 20. Let c = v + -4. Let t = c - 11. List the prime factors of t. 5 Let u(s) = -4*s + 14. Let n(h) = -5*h + 15. Let b(c) = -3*n(c) + 4*u(c). What are the prime factors of b(6)? 5 Let z = 53 + -1. Let v = -29 + z. List the prime factors of v. 23 Let c = 3 - 8. Let a = c + 1. What are the prime factors of ((-9)/(a + 1))/1? 3 Suppose 104 = 4*o - 52. What are the prime factors of o? 3, 13 Let i(s) be the second derivative of 0*s**2 + 1/20*s**5 + 0 + 2/3*s**3 + 1/2*s**4 - 2*s. What are the prime factors of i(-5)? 5 Suppose -2*s + 22 + 134 = 4*j, j = -3*s + 219. What are the prime factors of s? 2, 3 List the prime factors of (3 + -1)*(-90)/(-20). 3 Let v(p) = 3*p**2 - 2*p - 1. Let o be v(-1). Suppose -o*w = w. Suppose -a - 3*a + 56 = w. What are the prime factors of a? 2, 7 Let p(v) = 2*v. Let c(x) = -4*x + 1. Let u(l) = -2*c(l) - 5*p(l). Let t be (((-9)/4)/3)/(2/8). List the prime factors of u(t). 2 Let v be (-1 - -6)*(-130)/25. Let b = v + 37. List the prime factors of b. 11 Let v(o) = o**3 - 7*o**2 - 8*o - 10. Let c(z) = z + 8. Let x be c(0). Let k be v(x). Let n = -1 - k. List the prime factors of n. 3 Suppose 2*l = -i - l + 12, i + 5*l = 20. Suppose -2*s + s - 4 = i. Let f(w) = -w**2 - 6*w - 4. What are the prime factors of f(s)? 2 Suppose 6*z - 272 - 166 = 0. What are the prime factors of z? 73 Let b(w) = -w**2 - 9*w + 4. Let l be b(-10). Let c = l - -8. Suppose -c*r + 2 = -r. What are the prime factors of r? 2 Suppose 3*c - 2 - 11 = -2*n, -5*c + 10 = n. Let f(l) = 1 - l - c + 2. What are the prime factors of f(-5)? 7 Let v(i) = i**3 + 7*i**2 - 7*i + 10. Suppose -2*t + 42 = -38. Suppose -5*a - 4*u - t = -a, -2*u + 36 = -5*a. What are the prime factors of v(a)? 2 What are the prime factors of (-2 + 3 + -6)*-10? 2, 5 Let f(z) = 8*z - 12. Let b(t) = 23*t - 36. Let a(d) = 4*b(d) - 11*f(d). List the prime factors of a(6). 2, 3 Suppose -4*b + 12 = -7*b. Let c = 6 + b. Suppose -c*f = -f - 17. List the prime factors of f. 17 Let l be (-16)/(-9) + (-18)/(-81). Let r = l + 25. List the prime factors of r. 3 Let m(i) = 7*i**2 - 6*i + 4. Let h(x) = -6*x**2 + 7*x - 4. Let r(o) = 6*h(o) + 5*m(o). List the prime factors of r(10). 2 Suppose -6*t + 2*t = -96. Suppose -3*y + 24 = -t. List the prime factors of y. 2 Let p = 6 - 4. Let x = 16 + -14. List the prime factors of (x - 0) + 3 + p. 7 Suppose 2*d - 20 = 2*r - 6*r, -3*d + 2 = -r. Suppose 3*y = 2*z + 37, r*y - 2*y - z = 25. List the prime factors of y. 13 Let g = -15 + 56. What are the prime factors of g? 41 Let t = 2 + -2. Let c(w) = -w**2 - w + 4. Let z be c(t). Let v(o) = 2*o + 4. What are the prime factors of v(z)? 2, 3 Let x be (7/28)/((-1)/(-4)). List the prime factors of x*-2 + 8*3. 2, 11 Suppose 2*w - 156 = -2*w. List the prime factors of w. 3, 13 Let z = 44 + -62. Let b be (21/(-2))/(z/24). List the prime factors of (-1 - -5)/(4/b). 2, 7 Suppose i - 18 + 2 = 0. Suppose 4*p - i = 48. Let s = p + -9. List the prime factors of s. 7 Suppose 22 = 4*a - 3*a. List the prime factors of a. 2, 11 Suppose 1441 = 5*p + 26. What are the prime factors of p? 283 Let j be (4/5)/(2/(-60)). Let l = 34 + -40. Let n = l - j. What are the prime factors of n? 2, 3 Let q = 3 - 0. Suppose -2*k - q - 1 = 0. List the prime factors of k/4*-10*1. 5 Suppose -2*y + 6 + 54 = 0. What are the prime factors of 2 + (-7)/((-21)/y)? 2, 3 Suppose -4*j + 6 = z, 2*z + 4*j - 62 = -3*z. Suppose -4*m = q - z, -2*q = 2*m - 7 - 15. List the prime factors of q. 2, 5 Let s be (-112)/(-18) - 4/18. Let d(y) = y**2 - 3*y - 8. What are the prime factors of d(s)? 2, 5 Let i(s) = -s**2 + 2. Let f be i(0). Let n(g) = g**2 + 2. Let o be n(f). Suppose -10 = b - o*b. What are the prime factors of b? 2 What are the prime factors of -4*(0 + -3 + -16)? 2, 19 Let g = -17 + 139. What are the prime factors of g? 2, 61 Let i = 335 + -238. Let t = i - 68. List the prime factors of t. 29 Suppose 3*m + 2*n = -74 + 320, m = 3*n + 71. List the prime factors of m. 2, 5 Let t(i) = 0*i + 3*i - 7*i**2 + i**3 - 4 + 3*i**2. L
{ "pile_set_name": "DM Mathematics" }
eger. 4 Let c = -0.06989 - -0.02403. Let u = -0.045 - c. Round u to 4 decimal places. 0.0009 Let z be -65997 - (2 + (-3 - -4)). What is z rounded to the nearest ten thousand? -70000 Let t = -2204 + 2415.9. Let b = -220.848 - 0.152. Let g = t + b. What is g rounded to the nearest integer? -9 Let r = 30.5 + 2.5. Let x = r + -48. Let w = 15.055 + x. What is w rounded to two decimal places? 0.06 Let p = -2.2 + 2.20000082. Round p to 6 dps. 0.000001 Suppose 1075012 = -5*w - 3*k, 0 = -w - 3*k - 17051 - 197961. What is w rounded to the nearest ten thousand? -220000 Let p be (-14080)/(-6)*(-1500)/(-8). Suppose f + p = 3*f. What is f rounded to the nearest 100000? 200000 Let y = 21817089 + -13857089. Round y to the nearest one hundred thousand. 8000000 Let c = -2 - -10. Let f = -7.8 + c. Round f to 0 dps. 0 Let p = -0.8 + 0.8. Let a = p - -0.000056. Round a to 5 dps. 0.00006 Let b = -256960.1559820305 - -0.1597820305. Let x = b + 256987. Let j = 27 - x. What is j rounded to 3 decimal places? -0.004 Let f = -8 - -13. Suppose f*j - 264 = -84. What is j rounded to the nearest ten? 40 Let w = 0.05 + 0.1. What is w rounded to one dp? 0.2 Suppose -5*r + 45 = 135. What is r rounded to the nearest 10? -20 Let q(t) = -479600*t**2. Let o be q(5). What is o rounded to the nearest 1000000? -12000000 Let d = -44467.052 + 44346. Let n = -0.052 - d. Let j = -120.9947 + n. Round j to 3 decimal places. 0.005 Let v be 25322/6 - ((-55)/15 - -4). What is v rounded to the nearest one hundred? 4200 Suppose 81 = -5*l + 21. Let y be (1/(-2))/(l/(-9600000)). What is y rounded to the nearest 100000? -400000 Let i = -20.7 + 30. Let x = i + -8.48. What is x rounded to 1 dp? 0.8 Let p = -1.339 + 1.23. Let g = -0.09 - p. Round g to 2 dps. 0.02 Let k = 3.801 - 0.031. Let p = k - 4. Round p to 1 decimal place. -0.2 Let a(z) = 63267*z**3 + 2*z**2 - 2*z - 2. Let y be a(3). Suppose -8608219 = 3*t - y. Round t to the nearest one million. -2000000 Let a = 64 + -63.942. Let k = -0.05913 + a. What is k rounded to four dps? -0.0011 Let q = 61.99999925 - 62. Round q to seven decimal places. -0.0000008 Let h = 4.66 - -6.17. Let q = -3 + -8. Let x = h + q. What is x rounded to one dp? -0.2 Let d = -255.13 + 254. Let x = -76.87 + d. Let o = x - -69.6. Round o to the nearest integer. -8 Let o(z) = -186*z**3 - 2*z**2 + 2*z + 2. Let c be o(-3). Round c to the nearest 1000. 5000 Let t = -64126 + 63972.195. Let y = t - 0.195. Let k = -153.999929 - y. Round k to 5 dps. 0.00007 Let x = 1090.231 - 1149.2. Let n = x - -59. Let j = n + -0.115. Round j to 2 decimal places. -0.08 Let m = 83.105 - 85. Let s = m + 5.99. Let j = s + 0.005. Round j to the nearest integer. 4 Suppose -388988 = 2*p - 102200. Let i = p + 10394. Round i to the nearest 10000. -130000 Suppose 0 = -4*y - 3*b + 12, 2*y + 3*b = -3*y + 12. Let m be y - 4/(8/(-6)). What is m rounded to the nearest integer? 3 Let r(k) = 12*k**2 - 52*k**2 - 15*k**2. Let x be (-2)/2 - 5/(-1). Let s be r(x). What is s rounded to the nearest 100? -900 Let g(j) = -190000*j**2 - 3*j + 3. Let c be g(1). What is c rounded to the nearest one hundred thousand? -200000 Let r(h) = h**3 - 12*h**2 + 15*h - 16. Let y be r(11). Let s = -24 + y. What is s rounded to the nearest integer? 4 Let s(v) = 7372*v + 2 + 7217*v + 834*v + 6863*v. Let w be s(-7). What is w rounded to the nearest 10000? -160000 Let f = -0.053 + -3.707. What is f rounded to the nearest integer? -4 Let i = 0.53 + 0.02. Round i to one decimal place. 0.6 Let d(p) = p**2 + p + 309. Suppose 0*z + 4*z = 0. Let v be d(z). Let n be (1 + 229)*(v - 9). What is n rounded to the nearest 10000? 70000 Let u(a) = 2*a**2 + 3*a + 1. Let d be u(-2). Let m be ((-58500)/(-7))/(d/42). What is m rounded to the nearest 10000? 120000 Let g = -2 + 2.0026. What is g rounded to three decimal places? 0.003 Let l = 507104710 - 507104752.0000034. Let y = -42 - l. Round y to six decimal places. 0.000003 Let h = 27.02 - -2.78. Round h to zero dps. 30 Let r = -0.1 + -0.2. Let z = 0.7169 - 0.4168. Let k = z + r. What is k rounded to 4 decimal places? 0.0001 Let y = 1.92 - 21.32. Let t = 19.206 + y. What is t rounded to 2 decimal places? -0.19 Let v = 1 + -3.5. Let u = -2 - v. Let r = 0.499988 - u. Round r to five decimal places. -0.00001 Let r = 3934176.96003 - 3933982. Let l = 195.04602943 - r. Let s = l + -0.086. Round s to seven dps. -0.0000006 Let a = 108058.49929 + -108120.5. Let u = 64.4 - 2.4. Let l = u + a. Round l to 4 decimal places. -0.0007 Let v = 2.4 + -5.9. Let h = -22 + 33. Let m = v + h. What is m rounded to the nearest integer? 8 Let n = 400 - 400.0000434. What is n rounded to five decimal places? -0.00004 Let u(p) = -23240*p - 123681*p - 69160*p + 1 + 19414*p. Let s = 11 + -8. Let k be u(s). What is k rounded to the nearest 100000? -600000 Let v = -13 + 11. Let s(k) = 215001*k**2 + k - 2. Let f be s(v). What is f rounded to the nearest one hundred thousand? 900000 Let s = 0.17447 + -5.46837. Let p = -103.7 - -109. Let i = p + s. Round i to 3 dps. 0.006 Let t be (48 + 3)/((-1)/(-49)). Suppose m = -3649 - t. Let z = 3052 - m. Round z to the nearest one thousand. 9000 Suppose 6*q + 35487995 = -10112005. Round q to the nearest one million. -8000000 Let x = -2.563731 - -1837210.563731. Let t = -1837294.9949 + x. Let f = t + 87. What is f rounded to three dps? 0.005 Let v = -0.6 - -0.6024. Round v to 3 decimal places. 0.002 Let i = 3.1 - 3.09989. Round i to four decimal places. 0.0001 Let v = 20.0843471 - 0.0848971. Let c = v - 20. What is c rounded to four decimal places? -0.0006 Let x = -10217793 + 15217808. Suppose 0 = -5*f + y - 4999995, 0*f - 5*f - 3*y = x. Round f to the nearest one million. -1000000 Let j = -1.93 + 1.8. Let y = j + 0.91. Round y to 1 dp. 0.8 Let z = -198 + 115. Let g = -128 - z. Let f = 45.31 + g. What is f rounded to 1 dp? 0.3 Let u = 5822440 + -5822439.96999979. Let z = 0.03 - u. Round z to seven dps. -0.0000002 Let s = 29.8 + -29.69025. Let p = s + -0.11. Round p to 5 decimal places. -0.00025 Let z be -2 + -2 + 3*506668. Round z to the nearest 100000. 1500000 Let d = -1927 - -1933.983. Let y = -4 - -11. Let s = y - d. What is s rounded to two decimal places? 0.02 Suppose 1245 = -w + 5*w - 3*r, 3*w - 2*r - 933 = 0. Suppose -2*v - w = 691. Round v to the nearest one thousand. -1000 Let m = -997 - -1967. Round m to the nearest one hundred. 1000 Let d = 13191.77 - 13138. Let w = -167 - -113. Let j = w + d. Round j to 1 decimal place. -0.2 Let k = 1.3 - 1.24. Let q = -0.382 + 0.3221. Let v = k + q. Round v to four dps. 0.0001 Let g = -20 - -20.0012. What is g rounded to 3 decimal places? 0.001 Let s = -10 + 10.96. Round s to 1 dp. 1 Suppose 5 = 5*r, -q - 3*r = -2*r - 3081. Round q to the nearest 100. 3100 Suppose -4*t - 2*l = -68010, 45637 = 3*t + 5*l - 5388. Round t to the nearest 10000. 20000 Suppose 3*u + 2*f - 4 = 4, 0 = -4*u + 3*f - 12. Let x(t) = -3 + 2 + u + 650001*t. Let j be x(1). Round j to the nearest 100000. 700000 Let c(p) be the first derivative of -p**4/4 - p**3/3 + 2*p**2 + 8*p + 2. Let j be c(6). Let l be ((-4)/10)/((-2)/j). Round l to the nearest ten. -40 Let s = 5 + -5.2. Let m = -1 - s. Let c = m + 0.86. Round c to 1 dp. 0.1 Let o = 1462.586 - 1536.5741. Let i = 74 + o. What is i rounded to three dps? 0.012 Let s = 976 - 975.9999571. What is s rounded to five decimal places? 0.00004 Suppose u = -1, 0*k + k + 4*u = -34983873. Let m = k + 52383869. Suppose m = -0*r + 2*r. What is r rounded to the nearest 1000000? 9000000 Let f = 0.81 + -7.61. Let o = 449 - 442.82. Let a = o + f. What is a rounded to 1 dp? -0.6 Let s = -55 + 55.00000134. Round s to six dps. 0.000001 Let l = 158.559289 - 151.55929. Let r = l + -7. What is r rounded to five decimal places? 0 Let o = -33.00000054 - -33. What is o rounded to 7 decimal places? -0.0000005 Let n(h) = -3*h + 12. Let o be n(6). Let g be o/21 - 95199992/28. Round g to the nearest 1000000. -3000000 Let l = 1233308.900013 + -1233310. Let s = -1.1 - l. What is s rounded to 5 dps? -0.00001 Let u = -81 - -80.9999876. What is u rounded to six dps? -0.000012 Suppose -d = 22 - 12. Let z(a) = a - 1. Let c(n) = 22*n**2 - 5*n - 6. Let f(p) = c(p) + 4*z(p). Let y be f(d). Round y to the nearest one thousand. 2000 Let r = 4 + 0. Suppose 0 = r*n - 15090 -
{ "pile_set_name": "DM Mathematics" }
2958*u - 12 What is the third derivative of 3467*c**2*t**3 + 68*c**2*t - 7*c*t**4 + 2*t**4 - 440*t**2 wrt t? 20802*c**2 - 168*c*t + 48*t What is the derivative of 46552*j**2 - 28126 wrt j? 93104*j Find the first derivative of -85744*q**2*u**2 - 7*q**2 + 27*q - 2*u**2 + u - 133 wrt u. -171488*q**2*u - 4*u + 1 Find the third derivative of -253*r**4 - 173*r**3 + 28134*r**2 - 1 wrt r. -6072*r - 1038 What is the third derivative of d**2*i**5 + 1901725*d**2*i**4 + 19327*d**2*i**2 - d wrt i? 60*d**2*i**2 + 45641400*d**2*i What is the derivative of 2*f*l**2 - 32*f*l - 5*f + 3*l**2 + 84*l + 29 wrt f? 2*l**2 - 32*l - 5 What is the third derivative of 571943*q**3 - 646719*q**2? 3431658 Find the second derivative of -2714*v**3 + 12*v**2 + 1030*v - 30 wrt v. -16284*v + 24 What is the second derivative of 2*j**2*x**2 - 534*j**2*x + 882*j*x**2 - 4*j*x wrt j? 4*x**2 - 1068*x What is the third derivative of -13*r**5 - 2864*r**4 + 2*r**2 + 18079? -780*r**2 - 68736*r What is the second derivative of -5*b**3*o + 46*b**3 + 116*b**2*o - 6*b*o - 2*b - o - 6368 wrt b? -30*b*o + 276*b + 232*o What is the third derivative of -1173966*p**5 - 15*p**2 + 1633 wrt p? -70437960*p**2 What is the second derivative of 1807*d**5*r - 2*d**2*j*r + 196*d**2*r + 6700*d*r - 104*j*r - j wrt d? 36140*d**3*r - 4*j*r + 392*r Differentiate -24*h**2*u**4 + 6*h**2*u - 17572*h**2 + 6*h*u with respect to u. -96*h**2*u**3 + 6*h**2 + 6*h What is the second derivative of 11*w*z**5 - 6*w*z - 24*w + 404*z**4 + 8*z**3 + 142 wrt z? 220*w*z**3 + 4848*z**2 + 48*z Find the second derivative of 70323*i**2 - 5030*i wrt i. 140646 What is the third derivative of -43184*x**6 + 152*x**2 wrt x? -5182080*x**3 Find the third derivative of 258727*b**4 + 45106*b**2. 6209448*b What is the second derivative of -525*m**3 + 213*m**2 - 2*m - 19203 wrt m? -3150*m + 426 What is the third derivative of -800383*h**5 - h**2 + 4*h + 85710? -48022980*h**2 What is the second derivative of 71*l*n**4 - 8989*l*n**2 - 29395*l + 3*n + 10 wrt n? 852*l*n**2 - 17978*l Find the second derivative of 8213*j**4 + 6*j**2 + 1511*j - 1. 98556*j**2 + 12 Find the first derivative of -79*b*c - 267*b + 4006*c - 6 wrt b. -79*c - 267 What is the third derivative of 29*q**6 + 858*q**5 + q**4 - 260762*q**2 - 5 wrt q? 3480*q**3 + 51480*q**2 + 24*q Find the third derivative of -30*w**6 + 347*w**3 + w**2 + 235*w - 62 wrt w. -3600*w**3 + 2082 What is the second derivative of -390980*r**2 + 37414*r - 4 wrt r? -781960 What is the second derivative of -2*j**2*q**3 - 14171*j**2*q**2 + 173*j**2*q + j*q - 5*q**3 + 2*q - 10 wrt q? -12*j**2*q - 28342*j**2 - 30*q Find the second derivative of 587757*z**5 - 38465*z - 66. 11755140*z**3 Find the third derivative of 2879*l**5 - 35*l**2 - 12*l + 2. 172740*l**2 Find the second derivative of 647*u**4 - 990*u + 5 wrt u. 7764*u**2 Find the third derivative of -13072*a**4*f**3 + 2*a**4 + a**3*f**3 - a**2*f - 82*a**2 + 13*a*f**3 - 2 wrt a. -313728*a*f**3 + 48*a + 6*f**3 Find the second derivative of -15*f**2*k*w + 544*f**2*w**2 - 3*f**2*w + 19*f*k - 43*f*w**2 - 3*f*w + 5*f wrt f. -30*k*w + 1088*w**2 - 6*w What is the third derivative of -796*m**5 - 2*m**3 - 10*m**2 - m - 125? -47760*m**2 - 12 What is the third derivative of 196*s**6 - 10541*s**3 + 419737*s**2 wrt s? 23520*s**3 - 63246 Find the first derivative of -2*h*k**4 + 495624*h + 2368*k**4 - 17*k**2 - 1 wrt k. -8*h*k**3 + 9472*k**3 - 34*k Differentiate -15*a**3*s + 7000*a*s**2 + 65*s**2 - 36*s - 18 wrt a. -45*a**2*s + 7000*s**2 Find the second derivative of 13*i**3*m*v**3 - 5*i**3*v - 13*i**3 + i**2 + 1364*i*v**3 - 6*m*v wrt v. 78*i**3*m*v + 8184*i*v Find the first derivative of -304959*q**3 - 147164. -914877*q**2 What is the derivative of -189516*d**4 - 329591 wrt d? -758064*d**3 Find the third derivative of 5*r**2*w**3 + 15828*r**2 - 3*r*w**3 - r*w**2 - 1388*w**3 wrt w. 30*r**2 - 18*r - 8328 Find the second derivative of -533492*y**4 - 573316*y. -6401904*y**2 Find the third derivative of 7887*v**3 - 149*v**2 - 98*v - 4. 47322 Differentiate 1812099*b**2*o**2*w - 2*b**2*w + b**2 - b*o**2 - 2879609*b*o - o**2 wrt w. 1812099*b**2*o**2 - 2*b**2 Find the third derivative of -66090*i**4*z**2 - i**3*z**2 + 99*i**2*z + 3*i**2 - 10*i*z**2 wrt i. -1586160*i*z**2 - 6*z**2 What is the first derivative of -8*s**4 - 5*s**3 - 27*s - 166677 wrt s? -32*s**3 - 15*s**2 - 27 What is the derivative of 5912*j*u + 5267448*j - 9*u wrt u? 5912*j - 9 What is the first derivative of 214789*h**2*i**3 + 5*h**2*i - 2*i**3 - 122*i**2 + 5*i + 71 wrt h? 429578*h*i**3 + 10*h*i Find the third derivative of -4*l**2*s*u**3 - 9*l**2*s*u**2 - 1319*l**2*s*u + 194*l*s*u**3 + 65*l*u**3 wrt u. -24*l**2*s + 1164*l*s + 390*l Find the third derivative of -120684*h**3*x**3 + 4*h**3*x**2 - 7*h**2*x - 392*h*x wrt x. -724104*h**3 What is the third derivative of 54*m**5 - 9*m**4 + 987*m**3 - 19141*m**2 - 2*m - 49 wrt m? 3240*m**2 - 216*m + 5922 Find the third derivative of c*d**3 + 1082*c*d**2 - 3*c*d + 2156146*d**3 + 22*d**2 wrt d. 6*c + 12936876 Find the third derivative of -452011*j**6 + 75603*j**2 wrt j. -54241320*j**3 Find the third derivative of -260*w**6 - 31*w**3 + 185*w**2 + 106*w. -31200*w**3 - 186 What is the second derivative of 121678*q**2*v + 4*q*v - 14*q + 28 wrt q? 243356*v Differentiate 104*k*n*s - 25394*k*s**2 - 24*n*s**2 with respect to n. 104*k*s - 24*s**2 Find the third derivative of -40*s**5 - 429*s**3 + 63*s**2 - 7*s + 73. -2400*s**2 - 2574 Differentiate 12*c*f*t + 50*c*f + 759*c*t**2 - 1426*f*t**2 - 19*f*t + 3*f - 2*t**2 with respect to c. 12*f*t + 50*f + 759*t**2 Find the third derivative of 74099*u**4 + 10093*u**2 + 1. 1778376*u Find the second derivative of -8*w**2*x**2 - 177*w**2*x + 3*w**2 + 9*w*x**3 + w*x*y + 245*x**2*y - 5*x**2 - 25*x*y - 11*y wrt x. -16*w**2 + 54*w*x + 490*y - 10 What is the second derivative of -975*f**5*k + 2*f**5 - f**3 - 64*f*k + 21*k wrt f? -19500*f**3*k + 40*f**3 - 6*f What is the third derivative of 6*l**4 + 1427*l**3 - 379*l**2 + l + 31? 144*l + 8562 Find the third derivative of -5*h**2*z**4 + 2192*h**2*z**3 - 160*h**2*z**2 - 1130*z**2 wrt z. -120*h**2*z + 13152*h**2 Find the first derivative of 595516*h + 165294 wrt h. 595516 Find the first derivative of 58448*o + 23478 wrt o. 58448 What is the second derivative of 3397228*i**3*p**2 - 129*i*p**2 - 2*i*p - 89*i - 6*p**2 + 1 wrt i? 20383368*i*p**2 Find the second derivative of 2*j**3*y**2 + 8169*j**3 + j**2*y**2 - j**2*y - 39*j*y**2 + 44*y**2 wrt y. 4*j**3 + 2*j**2 - 78*j + 88 What is the second derivative of 44235*g**4 - 21*g**2 - 3749558*g? 530820*g**2 - 42 What is the third derivative of -213338*v**4 + 28*v**2 + 2935*v - 2 wrt v? -5120112*v What is the first derivative of -9066*b*w**2 - 27*w**2 + w + 555 wrt b? -9066*w**2 What is the third derivative of 2*h**3*t**3 + 2*h**3*t**2 - 2354*h**3 - 4*h**2*t**3 + 22*h**2*t + 2*h + 33*t**3 wrt h? 12*t**3 + 12*t**2 - 14124 Find the third derivative of -285*x**5 - 33*x**3 - 4*x**2 + 1008*x - 2 wrt x. -17100*x**2 - 198 Find the third derivative of -3*g**2*m**4 + 21419*g**2*m**3 - 3979*g**2*m**2 + 4*g**2 + g*m**3 - 37*g*m**2 wrt m. -72*g**2*m + 128514*g**2 + 6*g What is the third derivative of -48*b**4*t - 11*b**4 + 3*b**3*t + b**3 + 8*b**2*t + 4*b**2 - b - 9*t wrt b? -1152*b*t - 264*b + 18*t + 6 What is the first derivative of 267106*t - 299003? 267106 Find the third derivative of -376534*f*z**4 + 2*f*z**2 + 15276*f + 3*z**4 - z**2 - 4*z + 3 wrt z. -9036816*f*z + 72*z Find the third derivative of 5*f**4 - 12630*f**3 + 668339*f**2 wrt f. 120*f - 75780 What is the third derivative of -4475*g**4 + 4*g**3 - 4*g**2 - 31493? -107400*g + 24 Find the third derivative of 394341*m**4 - 859716*m**2 wrt m. 9464184*m What is the third derivative of 4942253*k**3 - 1291597*k**2 wrt k? 29653518 What is the second derivative of 104*p**2*s**3 + 46653*p**2 - 45*p*s**4 - 2*s wrt s? 624*p**2*s - 540*p*s**2 Find the third derivative of -103758*m**4 + 3*m**3 + m**2 + 31*m + 312. -2490192*m + 18 Find the second derivative of 73*d**3*t*z**2 - 2*d**3*z - 2*d**2*t*z - 14558*d**2*z + 9*d + 83*t*z**3 - 12*t*z**2 wrt z. 146*d**3*t + 498*t*z - 24*t Find the first derivative of -37631*c**4*g**3 + 4*c**2*g**3 + 2*g**3 - 647658*g**2 + 2 wrt c. -150524*c**3*g**3 + 8*c*g**3 What is the second deriv
{ "pile_set_name": "DM Mathematics" }
hout replacement from {c: 1, f: 3, i: 5, l: 3, s: 1, x: 2}. Give prob of picking 2 f and 1 i. 3/91 What is prob of picking 2 j when two letters picked without replacement from iphjigj? 1/21 Two letters picked without replacement from {p: 10, i: 4}. Give prob of picking 2 i. 6/91 Calculate prob of picking 2 s when two letters picked without replacement from vyussmmuz. 1/36 Four letters picked without replacement from {n: 4, r: 9, t: 1, m: 1}. What is prob of picking 2 m, 1 t, and 1 r? 0 Calculate prob of picking 1 e and 1 s when two letters picked without replacement from ssshe. 3/10 Three letters picked without replacement from gggwgwgwgwg. Give prob of picking 1 g and 2 w. 14/55 Two letters picked without replacement from zvvvvzvzvv. Give prob of picking 1 z and 1 v. 7/15 What is prob of picking 2 l and 2 x when four letters picked without replacement from {l: 5, x: 5, p: 8}? 5/153 Four letters picked without replacement from {o: 2, f: 7}. Give prob of picking 4 f. 5/18 Two letters picked without replacement from btgbti. Give prob of picking 2 t. 1/15 Two letters picked without replacement from {s: 2, n: 3, d: 5}. Give prob of picking 1 s and 1 n. 2/15 What is prob of picking 3 r when three letters picked without replacement from {p: 5, r: 14}? 364/969 What is prob of picking 1 t and 1 m when two letters picked without replacement from {e: 1, m: 3, t: 1}? 3/10 Two letters picked without replacement from {v: 5, g: 1, b: 5}. What is prob of picking 1 g and 1 b? 1/11 Three letters picked without replacement from {q: 2, f: 3}. Give prob of picking 3 f. 1/10 Three letters picked without replacement from tzczctcbzzzbzzb. Give prob of picking 1 z, 1 b, and 1 t. 6/65 What is prob of picking 1 h and 1 a when two letters picked without replacement from {p: 1, f: 2, m: 2, a: 6, h: 1}? 1/11 Three letters picked without replacement from wdywyyywdwwd. What is prob of picking 1 d, 1 w, and 1 y? 3/11 Two letters picked without replacement from ttqbfiqbqtqqqfftt. What is prob of picking 1 i and 1 q? 3/68 What is prob of picking 2 y and 2 h when four letters picked without replacement from {y: 4, h: 8, z: 2, w: 1, p: 2, x: 3}? 56/1615 What is prob of picking 1 p, 1 e, and 1 w when three letters picked without replacement from vewennp? 2/35 Three letters picked without replacement from {o: 2, q: 7, m: 3}. What is prob of picking 1 o and 2 q? 21/110 Four letters picked without replacement from {r: 7, t: 2, u: 1}. What is prob of picking 4 r? 1/6 What is prob of picking 2 o when two letters picked without replacement from {o: 2, v: 1, p: 2, u: 1, z: 2}? 1/28 What is prob of picking 1 b, 1 d, 1 j, and 1 h when four letters picked without replacement from {j: 2, v: 1, h: 3, k: 2, b: 1, d: 6}? 12/455 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kdafdmf. 1/21 What is prob of picking 1 n and 1 i when two letters picked without replacement from iiwwwiwiiwwnwwiiiji? 1/19 Two letters picked without replacement from {b: 7}. Give prob of picking 2 b. 1 What is prob of picking 1 q, 1 d, and 1 i when three letters picked without replacement from dkikiqkidx? 1/20 What is prob of picking 1 u and 1 g when two letters picked without replacement from {g: 1, u: 1, i: 1}? 1/3 Calculate prob of picking 3 l and 1 b when four letters picked without replacement from tlbb. 0 Four letters picked without replacement from {k: 5, j: 15}. What is prob of picking 4 j? 91/323 Two letters picked without replacement from gmkgkmllxlmm. Give prob of picking 1 l and 1 x. 1/22 Two letters picked without replacement from {o: 10, u: 2}. Give prob of picking 2 o. 15/22 What is prob of picking 3 j when three letters picked without replacement from jaaajjjj? 5/28 Two letters picked without replacement from {g: 2, h: 1}. Give prob of picking 1 h and 1 g. 2/3 What is prob of picking 2 x and 1 l when three letters picked without replacement from {d: 2, h: 2, l: 4, x: 3, w: 1}? 3/55 Calculate prob of picking 1 z, 1 f, 1 t, and 1 y when four letters picked without replacement from fffyftfzrgyytfrrtzr. 9/323 Four letters picked without replacement from {u: 2, n: 1, x: 1, w: 1, d: 1, v: 1}. Give prob of picking 1 n, 1 x, 1 u, and 1 w. 2/35 What is prob of picking 1 d and 2 v when three letters picked without replacement from {v: 6, h: 2, d: 9}? 27/136 Three letters picked without replacement from ffffskfkfqqcsqkkk. Give prob of picking 1 k, 1 c, and 1 f. 3/68 Two letters picked without replacement from {c: 1, g: 1, i: 1}. What is prob of picking 1 i and 1 g? 1/3 What is prob of picking 2 q and 1 c when three letters picked without replacement from ltvgcqqg? 1/56 Two letters picked without replacement from bbbu. Give prob of picking 1 u and 1 b. 1/2 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 3, g: 3, l: 1, y: 4}. 12/55 Three letters picked without replacement from {r: 2, n: 2}. What is prob of picking 1 r and 2 n? 1/2 Two letters picked without replacement from {e: 1, d: 3, q: 1, i: 5, u: 1, p: 3}. Give prob of picking 2 i. 10/91 Calculate prob of picking 3 k when three letters picked without replacement from {k: 9}. 1 Three letters picked without replacement from ccttttttt. What is prob of picking 1 t and 2 c? 1/12 What is prob of picking 1 q and 1 r when two letters picked without replacement from zqqrooqooorrz? 3/26 Three letters picked without replacement from {t: 2, o: 1, c: 1, x: 2, d: 1}. What is prob of picking 2 t and 1 x? 2/35 Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {i: 11, d: 2}. 5/13 What is prob of picking 1 z, 1 b, and 2 y when four letters picked without replacement from {s: 1, z: 1, b: 5, y: 3}? 1/14 Four letters picked without replacement from {q: 6, t: 1, h: 4, x: 3}. Give prob of picking 3 h and 1 x. 12/1001 Two letters picked without replacement from llullunu. Give prob of picking 2 l. 3/14 Two letters picked without replacement from gccgcgcggc. Give prob of picking 2 g. 2/9 Three letters picked without replacement from {t: 10, a: 1, l: 2, u: 3, i: 1, z: 1}. What is prob of picking 1 l, 1 z, and 1 i? 1/408 What is prob of picking 2 q and 1 f when three letters picked without replacement from fqfqgg? 1/10 Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {j: 3, v: 2, r: 1, b: 3, c: 1, q: 2}. 3/110 Two letters picked without replacement from {u: 1, d: 2, k: 1}. What is prob of picking 2 d? 1/6 Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yfyhyygyfyyyfy. 27/364 Four letters picked without replacement from {q: 2, h: 8, n: 3, i: 4}. Give prob of picking 1 h, 1 i, and 2 n. 24/595 Two letters picked without replacement from {w: 4, z: 3}. What is prob of picking 2 z? 1/7 Calculate prob of picking 2 u and 2 m when four letters picked without replacement from {u: 10, m: 9}. 135/323 Two letters picked without replacement from {t: 4, f: 7, w: 5, y: 1, z: 2, e: 1}. What is prob of picking 1 z and 1 y? 1/95 Calculate prob of picking 3 c when three letters picked without replacement from {c: 11, q: 2}. 15/26 Four letters picked without replacement from ofjllofuuolllfof. What is prob of picking 1 o, 1 u, 1 j, and 1 f? 8/455 Two letters picked without replacement from wwwwwmmwwwm. What is prob of picking 2 m? 3/55 What is prob of picking 3 q when three letters picked without replacement from {q: 16, f: 2}? 35/51 Two letters picked without replacement from {f: 1, m: 5, j: 4, w: 1}. What is prob of picking 2 j? 6/55 Calculate prob of picking 4 i when four letters picked without replacement from adeaiaiieadwaia. 1/1365 Two letters picked without replacement from jhwyjrrrpjrhjhr. Give prob of picking 1 w and 1 h. 1/35 Calculate prob of picking 3 j when three letters picked without replacement from {j: 2, m: 10, c: 2}. 0 Calculate prob of picking 1 g and 1 i when two letters picked without replacement from igijjikgkkjijijgj. 15/136 Calculate prob of picking 3 t and 1 l when four letters picked without replacement from {l: 1, t: 7, w: 1, s: 3}. 7/99 Two letters picked without replacement from {e: 5, b: 6, j: 1, f: 1, z: 1}. What is prob of picking 1 j and 1 e? 5/91 Three letters picked withou
{ "pile_set_name": "DM Mathematics" }
1? 1 Let q = -1/2433 - 808/7299. Which is the closest to -0.5? (a) 2 (b) q (c) -2/17 c Let f = -32578.4 - -32578. Let g = -2 + 1. Which is the closest to g? (a) 3 (b) f (c) 1/2 b Suppose 2*x + 0*x + 5*u - 25 = 0, -3 = -3*u. Let j be (-50)/4500*(-19 + 1). Which is the closest to 0? (a) x (b) 0 (c) 0.5 (d) j b Let n = -4323 + 4322.9. Let v = 1.3 + 0.3. Let g = v - -1.4. What is the closest to -1/2 in g, n, 23? n Let a = -60 - -102. Let z = -2338 + 2294. Let d = z + a. What is the closest to -0.2 in 0, -1/5, d? -1/5 Suppose 3*n - 824 = -332. Let i = 327/2 - n. What is the closest to i in 10, -3/2, 2/19? 2/19 Let m = -178 + 145. Which is the closest to -0.1? (a) 5 (b) 0.5 (c) -5 (d) m b Let t be 39808/(-86976) - (-12)/27. Let k = -276 + 3034/11. Which is the closest to 2/3? (a) t (b) k (c) -2/5 a Let m = -4 + 3. Let d = -3354 + 6511/2. Let r = 99 + d. Which is the closest to m? (a) 4 (b) r (c) -2/15 c Let l = -1697 - -1702. What is the closest to -0.05 in l, 0.1, 0.2, 6? 0.1 Suppose -2*o = -5*f + 19 - 87, -3*f - o = 32. Which is the closest to f? (a) -1 (b) 0.2 (c) -1/4 (d) 4 a Let c = 501.585 + -502. Let s = -3.585 + c. What is the closest to 1 in s, -0.02, 2? 2 Let w = -20849/46890 + 1/5210. Which is the closest to 0? (a) 217 (b) w (c) -10 b Let v = -83.412 - -83.5. Let i = 135.512 - 140.6. Let g = v + i. What is the nearest to 0.06 in 1, g, -4? 1 Let z = -0.26924 + -0.03076. Which is the nearest to -3? (a) -2 (b) 0.016 (c) z (d) 5 a Let s be 2 - 42/4*(-8)/12. Suppose 3*o + 18 = s*o. Let f = 0.1 + 0. What is the nearest to f in o, 3/2, 2? 3/2 Let w be (-166)/(-4)*(-112)/11. Let j = w + 422. Let k = 5.56335 - 5.66335. What is the closest to k in 0, 2, j? 0 Let b = 451 - 449. Let u be ((-3)/5)/(6/(-4)). What is the nearest to 1 in -11, b, -4, u? u Let g = -976 + 8782/9. Which is the nearest to g? (a) 3/14 (b) 0.1 (c) 5 b Let i = 15035.8 - 15036. Which is the nearest to -1? (a) 33 (b) 2 (c) i c Let s = -136.87 - -320.1. Let h = 183 - s. What is the closest to h in -0.5, 4, -0.2? -0.2 Let u = 0.04614 + 3.95386. What is the nearest to 0.1 in 0.44, u, -5? 0.44 Let w = -3/472 + -935/1416. Which is the nearest to -1/2? (a) 2/15 (b) -0.3 (c) w c Let z = -0.92 - -26.92. Let n = z - 25.6. Let s = 64/185 - -2/37. What is the closest to s in -4/7, 0, n? n Let t = 182 + 8. Let p = t - 197.9. Let u = p - -8. Which is the closest to u? (a) -0.1 (b) 1/2 (c) -0.8 a Let o = 359.49 + -8.49. Let d = 355 - o. Which is the nearest to 0.3? (a) d (b) -1/2 (c) 3 b Let k be -1*(-4)/48*20/5. Which is the closest to -0.1? (a) -1 (b) -4 (c) 0.37 (d) k d Let v be 2/5 + (-62365)/475. Let y = v + 131. Let z = -2.9509 - 0.0491. Which is the nearest to 0.4? (a) y (b) z (c) -2/9 a Let g = 374 + -479. Let m be ((-2)/12)/(35/g). Which is the nearest to -1? (a) 1/7 (b) m (c) 4 (d) 1 a Let c = 16.83 + -16.63. What is the nearest to c in 36, 1/2, 4? 1/2 Let p = -6731 + 6730.932. Which is the closest to 7? (a) -4 (b) p (c) -5 b Let v = 0.554 - 22.554. Let j be 7/(7/4) - (-2 + 5). What is the closest to v in 0.5, -1/4, j? -1/4 Let q be -2 + 21/6 - 240/(-160). What is the closest to 0 in q, 5, 2, -2.1? 2 Let a = 1113/1448 - 207/181. Let r = 3.96 - -0.04. Let l = r - 4. What is the closest to l in a, 0.14, 3? 0.14 Let z = 0.1876 + -0.4876. Let h be 6/(-10) - 388/20. Let q = 18 + h. Which is the closest to z? (a) 4 (b) 0.4 (c) q b Let w be ((-1)/(-3))/((-12)/(-4500)). Let k = w + -126. Which is the nearest to 0.3? (a) k (b) 5 (c) 3 a Let k = 224 + -99. Let j = -129 + k. What is the closest to 1/3 in j, -0.1, 0.08? 0.08 Let y be 65/8 + 10 + -10. Let g = -8 + y. Which is the nearest to -1/3? (a) -3/8 (b) -2/15 (c) g a Let l = 3 - 5. Let f = -4 + 13. Let x be (-3)/(f/5) - (19 - 21). What is the nearest to x in 1/26, l, 0.4? 0.4 Let l = -16417/67 - -245. Let g = l + 71/134. Let p be (150/225)/(((-32)/6)/(-4)). What is the closest to p in -2/5, g, -0.5? g Let v = 5.3 + 1.4. Let k = 35.3 + v. Let z = -41.9 + k. Which is the closest to z? (a) -1/3 (b) -2/15 (c) -1/16 c Let o = -26.95187 + -0.04813. Which is the closest to -1? (a) o (b) -2 (c) -5/4 c Let l = -1.7922 + 1.4922. What is the nearest to 2/9 in 23, -2/3, l, -0.4? l Suppose 1575*a + 16 = 1571*a. What is the closest to 0 in 200, a, -1/2? -1/2 Let u = 17468 + -17468.3. Which is the closest to -92? (a) u (b) 0.4 (c) 3/5 (d) 3/7 a Let j = 1121/3 - 4373/12. What is the nearest to -11 in 0.3, 0.2, j? 0.2 Let f be (113/(0 + -1))/(-1). Let v = 111 - f. What is the nearest to 2 in 2, 1/3, v? 2 Let w = -6 - -5.7. Let p = 9.4 - 8.4. Let x be 225/(-180) + 11/(-4). What is the closest to p in -2/5, w, x? w Let y = 104 - 16. Let k be (-4)/5 + (-1)/(-60)*-5182. Let u = k + y. Which is the closest to 0.6? (a) -1 (b) -2 (c) u c Let u = -18102 - -18021.026. Let j = u + 81. Let l = -0.111 - -4.111. Which is the closest to 0.1? (a) l (b) 1 (c) j c Let j = -23.4 + 23.35. What is the closest to j in -2/7, 0.1, -4? 0.1 Suppose 13*s - 10 = 14*s. Suppose -4*b - 2*a - 44 = -3*a, -5*b - 3*a = 55. Let t be (s - b)/(14/(-4)). What is the closest to t in 2/17, 0.3, 0.5? 2/17 Let f = -95.65 + 1.65. Let z = f + 72.6. Let w = 21 + z. Which is the nearest to -7? (a) 0 (b) w (c) -4 c Let w = 0.032 - 30.032. Let a = -3574 + 3574.1. What is the closest to 1 in a, 1/2, w, 0? 1/2 Suppose 0 = 334*z + 40*z - 69 - 305. Let n = 0.2 - 0.1. Let q = 2.8 + -3. Which is the closest to n? (a) z (b) -2/3 (c) q c Let r = -299.04 + 296. Let o = 3.44 + r. Which is the nearest to 7? (a) o (b) 1 (c) -0.5 b Let w = 74243/100700 + -18/1325. Let v = -9/19 + w. Which is the nearest to v? (a) 3 (b) -5 (c) -2/7 (d) -2/5 c Let s = 163 + 107. Let m = 1083/4 - s. Let v = 6.1 - 1.1. Which is the closest to 2/3? (a) 2 (b) v (c) m c Let u(p) be the first derivative of 9*p**2/2 - 104*p - 69. Let i be u(11). Let d = 1.5 - 1. Which is the nearest to -2/5? (a) i (b) 2/5 (c) d b Let l be 14/(-56)*2/(-5)*8/6. What is the closest to l in -19, 2, -1.3? -1.3 Let z = 0 + 0.5. Let h = 8132 + -8105. Which is the nearest to h? (a) 0.4 (b) -5/3 (c) z c Suppose -31 = -5*t + 9. Suppose 16 = 3*m - t. Let d = -3 - -2.9. Which is the nearest to d? (a) -0.4 (b) -0.3 (c) m b Let r be -7 - -17 - (27 - 21). What is the nearest to 15/7 in 0.3, r, 0.5? 0.5 Let r = -0.014 + 44.114. Let w = 44 - r. Which is the nearest to w? (a) 4 (b) 1/3 (c) 5 (d) -2/7 d Let w be (6/(-8))/((-20)/(-16)). Let g = -71.9 - -51.3. Let p = -21.6 - g. Which is the nearest to 1/13? (a) p (b) 2 (c) w c Let z = 24.185 - -0.215. Let v = -24.5 + z. Which is the closest to 0? (a) v (b) 1 (c) 1/5 a Let u = 312.25 - 468.2. Let s = u + 156. Suppose -25 = 2*o - 27. Which is the closest to 1/3? (a) o (b) 5 (c) s c Let v = -0.711 + 0.5. Let m = v + -0.789. Let j be 6*((-2)/4 + 1). Which is the nearest to 2/5? (a) j (b) -5 (c) m c Let z = -204 + 203.9. Suppose 0 = -v + 10 - 0. Suppose 2*t - 4 - v = 5*n, -2 = -3*t - 2*n. Which is the nearest to z? (a) -0.3 (b) t (c) -1 a Let a = 181824 - 181823.5. Let b = -7.03 + 0.03. What is the nearest to 14 in a, b, -0.1? a Let o = -13.86 + 14.06. Let s = -18.77 + 2.77. Which is the closest to o? (a) s (b) -1 (c) -4 (d) -5 b Let d = 4304/455 - 120/13. Let r = d + -59/105. Let q be (-1 + -1 - -3)/(-1). What is the closest to r in 0.4, 3, q? q Let l = 3895.9 + -3896. Which is the nearest to 6? (a) l (b) -4/7 (c) 0.5 (d) 0.2 c Let y(l) = l**3 + 9*l**2 + 2*l + 64. Suppose 67 = -8*z - 5. Let p be y(z). What is the nearest to 2 in 2/3, p, -1/5? 2/3 Let n = 3589 + -3588.9. Which is the nearest to n? (a) -1 (b) -4 (c) -5/11 c Let j = -358/217 - -60/31. Let g = 2 + -4. What is the nearest to j in 4, -2.5, g? g Let l = -71 + 71.5. Let g be ((-24)/16)/(3 - -6). What is the closest to g in -1/5, 1, l? -1/5 Let v = 1.435 + -1.435. What is the nearest to 0.1 in v, 2/5, -19/4, 2/25? 2/25 Let g = -8.6 - -12.3. Let y = -47092/35313 - -8/35313. Which is the closest to -1/2? (a) y (b) -4 (c) g a Let y be 6/(-9 + 3) - 275/(-245). Let l = y - 164/539. Let n be (4/5)/(1/5). Which is the closest to -2? (a) 0.2 (b) l (c) n b Let v = -76710 - -76710. Let z = 6 - 5.7. Let s = -0.01 - -0.01. Which is the nea
{ "pile_set_name": "DM Mathematics" }
2 + 6*y**2 - 3 - y**3 + 4*y + 3*y**3 to d + z*y**3 + u*y + g*y**2 and give d. -3 Express 40 + 6*o + 30 - 56 in the form x*o + l and give x. 6 Express (23 - 179*h - 23)*(-h**2 - 2*h**2 + 6*h**2) as g*h**3 + r*h + z + l*h**2 and give z. 0 Express 4*d + 17*d**2 + 6 + 14*d**2 + 4 - 12 in the form s*d**2 + h*d + p and give p. -2 Rearrange -16*n + 162*n + 73*n - 22*n to h + z*n and give z. 197 Express 145 + 45*t + 19 - 43*t in the form w + c*t and give w. 164 Rearrange (14 + 6203*v - 14 + 4396*v - 385*v)*(-3 + 3 + 2*v) to k*v + a + b*v**2 and give b. 20428 Rearrange -4 - 4 - 2*b + 2 + 5 - 3*b**3 to the form h + j*b**2 + w*b + n*b**3 and give n. -3 Rearrange -9*t**3 + 8*t**2 - 8*t**2 + (-t**2 + 0*t**2 + 2*t**2)*(-3*t + 5*t - t) - 2*t**3 + t**3 + 2*t**3 to u*t + p*t**2 + s*t**3 + f and give s. -7 Rearrange 3*z**4 + z**2 + 1 + 12*z**3 + 3*z**3 - 9*z**3 - 5*z**4 to the form l*z**2 + m*z + k + x*z**4 + h*z**3 and give h. 6 Rearrange 9 - 38*t**2 + 21*t - 45 - 21*t + 39*t**2 to i + g*t**2 + f*t and give g. 1 Express -7*y**2 - 141*y + 143*y - 27*y**4 + 35*y**4 in the form l + f*y + j*y**4 + o*y**3 + d*y**2 and give d. -7 Express (6 - 3 + 0)*(o + 4*o - 3*o)*(-34*o**3 - 17*o**3 + 49*o**3 - 4*o) in the form l*o**4 + y*o**3 + z*o**2 + m*o + j and give z. -24 Rearrange 1620*o + 14 - 3243*o + 1621*o to the form d + u*o and give d. 14 Express (-23*o - 28*o + 0*o)*(2*o**2 - 66 - 6*o**2 + 2*o + 65) + 2 - 2 + o**3 in the form n*o + x*o**2 + c*o**3 + y and give c. 205 Express (4*o**2 + 0*o**2 + 0*o**2 + (-2 + 1 + 4)*(1 + o**2 - 1) + 1 - 1 - o**2)*(0 - 1 + 4) as w*o**2 + g + l*o and give w. 18 Rearrange -12*j**2 - 7*j + 5*j**3 - 3*j**3 - 19*j**2 + 4*j to p*j**3 + v + g*j**2 + m*j and give g. -31 Rearrange 0*c + 7*c**4 + 15*c**2 - 19*c**4 - 2 - 5 + c + 11*c**4 to the form t*c**2 + l*c**4 + y*c**3 + z + a*c and give t. 15 Rearrange -1 - 18*o**2 + 14*o**4 - 33*o - 8*o**4 - 4 + 35*o to n*o**2 + p*o**3 + c*o + q*o**4 + t and give t. -5 Express (-54 + 54 + 31*c)*(-1 - 10 + 1) in the form x*c + b and give b. 0 Rearrange -32*u + 10 - 11 + 12 + 11 to t*u + b and give b. 22 Rearrange (6*q - 3*q + 4*q)*(44*q**2 - 15*q**2 + 19*q**2) + (-3*q + 3*q + q)*(-2*q**2 + 1 - 1) to the form c*q**3 + o*q**2 + h*q + d and give d. 0 Express (3*h**2 + 0*h**2 - h**2)*(33*h + 16*h - 51*h + 122) as b*h + q*h**2 + g*h**3 + a and give g. -4 Express 11 - 2*b + 5 - 133*b**3 + 6 - 22 in the form r + v*b**2 + g*b + o*b**3 and give o. -133 Express 2 - 13*k**2 - 4 + 538*k**2 as d + l*k**2 + w*k and give l. 525 Rearrange -6 - 181*n**3 - 181*n**3 - 4*n + n**2 + 369*n**3 - 3*n**2 - 2 - n**4 to the form j + y*n + b*n**4 + d*n**2 + i*n**3 and give b. -1 Rearrange 40*f + 3*f + 55*f - 120 + 122 - 24*f to p + x*f and give p. 2 Express j**2 - 2 - j + 3*j - 8*j + 7*j - 3*j**3 in the form k + m*j + a*j**2 + d*j**3 and give d. -3 Express 201404*y - 456*y**3 - 2*y**2 - 201404*y as f*y + z*y**2 + d*y**3 + b and give f. 0 Rearrange (-1 - 1 + 1)*(-1 + 1 - 2*t) + (-3*t + t + t)*(88 - 236 - 353) to the form k + v*t and give v. 503 Express -25*w - 3*w**2 + 1245*w**3 - 4 - 1247*w**3 + 3 in the form p + b*w + s*w**2 + y*w**3 and give b. -25 Rearrange 13*d**2 - 40*d**2 + 26*d**2 - 5*d**4 + 2*d - 2*d - 4*d**3 + 2*d to j + h*d**4 + l*d**2 + g*d + t*d**3 and give t. -4 Express -40*m + 13*m**2 + 3*m**3 - 13*m**2 - 9*m**3 - 2*m**4 + 28*m as q*m + s + v*m**2 + u*m**3 + f*m**4 and give s. 0 Rearrange 10 - g**3 + 62 + 2*g**2 - 37 + 2*g**3 to t + o*g + p*g**2 + c*g**3 and give o. 0 Express ((3 + 0 - 1)*(2 + 5*q - 2) - q + 3*q - 3*q - 2*q + 1 - 1)*(-4*q + 16 - 16 + (0 + 0 - 1)*(-4*q + 4*q + 2*q) - 2 + q + 2) as m + w*q**2 + u*q and give w. -35 Express 60*j - 51*j**2 + j**3 + j**4 + 2*j**3 - 41*j - 20*j as i*j + c*j**2 + m*j**3 + o + p*j**4 and give c. -51 Express -14 + 5*p**2 + 56 - 15 - 21 as n*p + l*p**2 + m and give l. 5 Rearrange -13 + 7 - 2*o - 14 - 27 to the form g + b*o and give b. -2 Rearrange -69*x + 32*x + 30*x - 2*x**4 + 0*x**2 - 2*x**2 + 2 - 2*x**3 to the form o*x**4 + w*x**3 + n*x + g + v*x**2 and give n. -7 Express -18*m**3 + m**2 + 6*m**3 + 7*m**3 + 22 + 7*m**3 as j + l*m**2 + k*m + g*m**3 and give l. 1 Express (-2 + 0 + 3)*(-2*i + 2 - 2) + 1322*i - 1230*i + 2023*i + (3 - 3 - 2*i)*(1 - 3 + 4) as l*i + z and give z. 0 Rearrange (-3 + 6 + 0)*(28*k + 0*k**2 - k**2 - 30*k) + (-4*k - 4*k + 4*k)*(-2*k - k + 2*k) to the form c*k**2 + y + v*k and give c. 1 Express (7*p + 3*p - 6*p - 3*p + 9*p + 5*p - p + p - p + (-2 + 2 - 2)*(3*p - 3*p + p) + 4*p + p - 3*p)*(-1 - 2*p + 1) in the form m*p**2 + j*p + d and give m. -28 Express -2*r**3 + 2*r**2 + 78 + 3*r - 4*r**4 - 2*r + r - 79 as j*r + s + q*r**2 + t*r**4 + z*r**3 and give j. 2 Express -5*k + 4*k + 3*k + (-2 - 2 + 5)*(-2 - k + 2) + 2*k + 0 + 0 + (1 - 4 + 5)*(3*k - 4*k - k) - 5*k + 5*k + 3*k + 4*k - 4*k + k as q*k + u and give q. 3 Express -q**3 + 13 - 2*q - 33 + q**2 + 13 + 4*q + 19 as o*q**3 + a + s*q + d*q**2 and give s. 2 Rearrange ((-m - 3*m + 3*m)*(4 - 3 + 2) + m + 4*m - m)*(-6*m + 3*m**2 - 271 + 271) to the form h*m**2 + o + l*m + j*m**3 and give j. 3 Express 3 - 7612*z - 3*z**4 + 7610*z - 5*z**2 + 0 as n*z**4 + g + q*z**2 + w*z**3 + t*z and give g. 3 Rearrange -14*h - 798 + 17*h - h to i + p*h and give i. -798 Rearrange 1538 + 377*t - 975*t - 772 - 766 to the form b*t + g and give b. -598 Express -133*f + 125*f + 263*f + 233*f - 44*f in the form o*f + b and give o. 444 Express -2 + 4313*c**2 + 4318*c**2 - 8616*c**2 - 9*c**3 in the form w*c + y*c**3 + l*c**2 + d and give y. -9 Rearrange (0 + 0 - 2)*(1 + 0 + 1)*(-m + 23*m - 3*m)*(-2*m + 0*m + 7*m) to the form a*m + c + u*m**2 and give u. -380 Rearrange (-c - 2*c + c)*(2*c + c - 4*c + (0*c - 2*c + c)*(-2 - 2 - 9)) + 6*c + 7*c**2 - 6*c to d*c + m*c**2 + u and give m. -17 Express (58*z + 1331*z + 465*z + 2*z - z + z + (2 - 2 + 1)*(2*z + 0*z - 3*z))*(-z**2 + 2*z - 2*z) as h*z + i*z**3 + a + o*z**2 and give i. -1855 Rearrange 623*a - 988*a + 631*a to the form w*a + u and give u. 0 Express 0*j - 11*j + 7*j - 17*j + 8 in the form c + q*j and give q. -21 Rearrange 5*j**3 - 206 + 161 - 4*j**3 to the form q*j + a*j**3 + c*j**2 + m and give a. 1 Rearrange 2*p + 5*p**2 + 65*p**4 - 34*p**4 - 33*p**4 - p**3 - 15 + 14 - 2*p**2 to the form o*p + a*p**3 + y + s*p**2 + l*p**4 and give a. -1 Rearrange -116 + 2*r**3 + 3*r - 2*r + 130 + 2*r**2 to d + l*r**2 + q*r**3 + g*r and give g. 1 Express 27*x + 2*x**3 - 99*x - 2*x**2 + 73*x - 7 as b + g*x**2 + c*x**3 + w*x and give b. -7 Express -143*w**2 + 1101*w - 1101*w + 2*w**2 - w + w + (3 + w**2 - 3)*(-1 + 3 - 4) + 0*w**2 + w**2 - 3*w**2 as n*w**2 + g + j*w and give n. -145 Rearrange -1 - 47*l**3 - 3*l**2 + 16*l**2 + 48*l**3 to the form b + q*l**2 + a*l + m*l**3 and give b. -1 Express 373*j**2 + 1199*j**2 - 197*j**2 - 19*j**2 in the form f*j**2 + a*j + s and give f. 1356 Express -53*c**2 - 6*c + 6*c - 47*c**2 as j*c**2 + g*c + i and give j. -100 Rearrange -403*d**3 - 2*d + 403*d**3 + 241*d**4 - d**4 + 0*d + 0*d + (-4*d**4 + d**4 + d**4)*(1 - 2 - 1) to o*d**2 + m*d**4 + x*d + q + h*d**3 and give q. 0 Express 46*l - 98*l + 50*l + 385 as t + f*l and give f. -2 Rearrange (-1 + 2 + 0)*(-118*d - 138*d - 135*d + 389*d + 4983) to m*d + l and give m. -2 Express -2*q**2 + 3*q**2 + 0*q**2 + ((q - q - q)*(-7 + 4 + 1) - 4*q + 0*q + 6*q)*(-3*q + 0 - 3 + 4*q) as i*q**2 + k*q + z and give k. -12 Express -2*r - 1005*r**3 + 3 + 3 + 0*r - 2 + 1110*r**3 in the form o*r**2 + s*r + y*r**3 + i and give y. 105 Express 2373*h - 1187*h - 442 - 1184*h + (3 + 1 + 0)*(1 - 1 + h) in the form u + j*h and give u. -442 Express -113*f + 293*f + 33*f as a*f + t and give a. 213 Rearrange -152 + 34*i - 14*i + 41 - 9*i - 9*i to the form r + p*i and give r. -111 Rearrange 40 + 30 - 17*y - 73 + 45 to j*y + x and give j. -17 Rearrange (-22*w + 5*w - 26*w)*(6*w + 34*w - w) to b*w**2 + x + f*w and give b. -1677 Express -835*r**2 - 209*r**2 + 18 - 18 as n*r**2 + c + a*r and give n. -1044 Rearrange (-1724 + 1724*g + 1724)*(0*g - 2*g + 0*g) to m + q*g + y*g**2 and give y. -3448 Rearrange (29 - 29 - 71*x)*(0*x**2 - 5*x**2 - x**2) to m*x + j + z*x**2 + n*x**3 and give m. 0 Rearrange (1 + 2*z**2 - 1)*(-1133*z - 1163*z + 2537*z) + 2*z**3 - 2 + 2 to the form c*z + v*z**3 + n*z**2 + h and give v. 484 Rearrange 7*v**4 + v - v + (-v**2 + 2*v**2 - 2*v
{ "pile_set_name": "DM Mathematics" }
*q - b, 5*w - 2*q - 14 = w. Let s(y) = 3*y - 3*y - y**w - y**2. Calculate f(s(x)). 4*x**2 Let h(u) be the first derivative of -u**5/12 + 2*u**3/3 + 4. Let r(s) be the third derivative of h(s). Let y(p) = 4*p**2 + 0*p**2 - 3*p**2. Determine y(r(w)). 100*w**2 Let i(j) = -115215*j. Let y(w) = -w**2. Determine i(y(z)). 115215*z**2 Let x(y) = 7*y. Let z(k) be the third derivative of -1/8*k**4 + 0*k + 0 + 0*k**3 + 16*k**2. Determine z(x(b)). -21*b Let t(u) = u. Let b(z) = 3*z. Let l(k) = 2*b(k) - 5*t(k). Let x(m) = 15*m. Let w(h) = 6*l(h) - x(h). Let q(r) = -6*r. Determine q(w(f)). 54*f Let g(f) = -14*f. Let h(t) be the first derivative of -t**3/3 - 7*t + 11. Let d(n) be the first derivative of h(n). What is d(g(o))? 28*o Let w(v) = -3*v**2. Let y(b) = 56*b**2. Let x(l) = 42*w(l) - 3*y(l). Let k(q) = 3*q. Calculate x(k(g)). -2646*g**2 Let v(c) = 2*c. Let k(p) be the first derivative of p**3 + 116. Calculate k(v(n)). 12*n**2 Let l(k) be the first derivative of -5*k**2/2 - 616. Let m(r) = r**2. Calculate l(m(n)). -5*n**2 Let z(b) = -33156*b. Let t(p) = -4*p. Determine t(z(k)). 132624*k Let h(j) be the second derivative of -j**3/3 - 102*j. Let a(x) = -x**2 - 7*x. Let z(k) = k. Let u(s) = 6*a(s) + 42*z(s). Give u(h(i)). -24*i**2 Let g(r) = -r**2 - 16*r + 3*r**2 + 16*r. Let j = -3 - -7. Let l(w) = 4*w**2 - 4 + j - 6*w**2. Determine l(g(v)). -8*v**4 Let s(y) = 3*y**2. Let k(f) = 1217194*f. What is s(k(r))? 4444683700908*r**2 Let n(m) = 4*m**2 + 6*m + 6. Let u(a) = 7*a**2 + 10*a + 10. Let f(g) = 5*n(g) - 3*u(g). Let l(z) = 15*z. Determine l(f(r)). -15*r**2 Let a(k) = 2*k - 11. Let y be a(9). Let r(x) = -13*x**2 + 7*x. Let j(c) = -4*c**2 + 2*c. Let z(h) = y*j(h) - 2*r(h). Let v(g) = -13*g**2. What is v(z(t))? -52*t**4 Let w(x) = -x + 41. Let y(b) = -35*b**2 + b - 23. Give w(y(g)). 35*g**2 - g + 64 Let k(y) be the second derivative of -10*y**3/3 + 3*y + 19. Let p(x) be the third derivative of -x**5/20 + 4*x**2. Calculate p(k(z)). -1200*z**2 Let f(d) = 3*d**2. Let i(q) = -825546*q. What is i(f(a))? -2476638*a**2 Let b(g) = -g. Suppose -5*y - 5*c - 27 = 3, 3*c = -2*y - 13. Let i(x) = x. Let h(z) = y*b(z) - 4*i(z). Let f(d) = -36*d. Determine h(f(m)). -36*m Let n(q) = 3*q. Let l(o) = -5*o**2 + 9*o - 9. Let m(x) = -x**2 + 2*x - 2. Let z(a) = -a**2 - 7*a. Let s be z(-9). Let b(c) = s*m(c) + 4*l(c). What is n(b(g))? -6*g**2 Let p(k) = -5*k. Let q(n) = -3*n. Let b(i) = -4*p(i) + 7*q(i). Let o(a) = 28*a + 5. Let h(g) = -29*g - 6. Let f(v) = -5*h(v) - 6*o(v). Give f(b(j)). 23*j Let n(d) = 7*d - 3 - 10*d + 3. Let s(f) = 14*f. Give n(s(i)). -42*i Let q(o) = -73*o + 7 - 8*o + 83*o. Let s(h) = -11*h. Determine s(q(d)). -22*d - 77 Let s(y) = 16*y + 3. Let x(f) = -147*f**2 - 12*f - 3. Give s(x(w)). -2352*w**2 - 192*w - 45 Let n(m) be the third derivative of -m**5/60 - 181*m**2. Let f(z) = 2*z - 73. Determine f(n(g)). -2*g**2 - 73 Let h(q) = 20*q. Let v(l) = l**2 + 328. Give h(v(k)). 20*k**2 + 6560 Let b(v) = 6*v. Let l(h) be the second derivative of 3*h**3/2 - h**2/2 + 211*h. What is b(l(r))? 54*r - 6 Let n(t) = t**2. Let s(d) be the first derivative of -d**6/40 + 9*d**3 - 4. Let g(h) be the third derivative of s(h). Calculate g(n(z)). -9*z**4 Let l(x) = 9*x**2. Let t be ((-8)/(5 + -1))/2. Let m be 1*(-1 - 3/t). Let q(d) = d + d + m*d - 2*d. Give l(q(f)). 36*f**2 Let h(k) = -2*k. Let u(t) = 597*t - 57. What is h(u(b))? -1194*b + 114 Let q(c) = 521*c**2 + 42. Let r(o) = -2*o**2. Determine q(r(t)). 2084*t**4 + 42 Let u(t) = -5*t. Let m be 5 - ((-2)/2)/(-1). Let k be (360/(-25))/(-18) + (-22)/(-10). Let d(f) = k*f + m*f + 8*f - 17*f. Determine d(u(c)). 10*c Let s(j) = -4*j. Let d(v) = 7248*v. Calculate s(d(y)). -28992*y Let p(q) = q. Let r(u) = 97*u. Let s(f) = -289*f. Let c(l) = 17*r(l) + 6*s(l). Calculate p(c(j)). -85*j Let n(l) = 539*l**2. Let d(g) = 151*g. What is n(d(u))? 12289739*u**2 Let w(f) = -1520 - f**2 + 1520. Let q(d) be the third derivative of d**5/120 - d**3/3 + 2*d**2. Let n(j) be the first derivative of q(j). Give w(n(y)). -y**2 Let y(z) = -3*z**2. Let d(j) be the third derivative of -j**4/4 - 211*j**2. What is y(d(f))? -108*f**2 Let t(h) = -9929*h - 1. Let n(a) = 3*a**2 + 24. What is n(t(l))? 295755123*l**2 + 59574*l + 27 Let b(g) = 11*g. Let t(y) = 77*y. Let f(w) = -22*b(w) + 3*t(w). Let d(x) = x**2. Give f(d(o)). -11*o**2 Let s(m) be the first derivative of 2*m**3/3 + 16. Let i(f) = -3*f + 1. Calculate i(s(a)). -6*a**2 + 1 Let z(p) = -4*p**2 + 2. Let f(h) be the second derivative of -17*h**4/12 + 9*h**2/2 + 2*h. Let v(m) = -4*f(m) + 18*z(m). Let b(j) = -5*j**2. What is v(b(i))? -100*i**4 Let c(k) = 301 - 151 - 4*k**2 + k**2 - 150. Let o(i) = -351*i**2. What is c(o(l))? -369603*l**4 Let x(s) be the third derivative of -s**5/60 - 215*s**2. Let n(j) be the first derivative of -14*j**2 - 1. Calculate n(x(a)). 28*a**2 Let b(d) = 26*d**2. Let z(m) be the first derivative of 5*m**3/3 - 13. What is b(z(i))? 650*i**4 Let p(d) = -7*d - 3. Let v(y) = 23*y + 4. Let f(h) = 28*h + 5. Let b(m) = 4*f(m) - 5*v(m). Give p(b(n)). 21*n - 3 Let g(z) be the second derivative of -7*z**3 + 20*z. Let q(f) = -7*f. Let l(h) = -6*g(h) + 35*q(h). Let o(k) = 2*k. Determine l(o(x)). 14*x Let v(z) = 1043*z. Let b(x) = -814*x**2. Determine v(b(q)). -849002*q**2 Let g(i) be the first derivative of 1/2*i**2 + 0*i - 1. Let p(f) be the first derivative of 5*f**3 - 11. Calculate p(g(k)). 15*k**2 Let g(n) = -48*n**2. Let h(k) = -k**2. Let d(v) = 2*g(v) - 80*h(v). Let m be (-6)/(-8)*34*2. Let i(r) = m*r - 102*r + 49*r. Determine i(d(a)). 32*a**2 Let r(u) = 7*u. Let g(v) be the first derivative of 3 - 1/6*v**4 + 0*v**2 + 0*v**3 + 2*v. Let y(i) be the first derivative of g(i). Determine y(r(t)). -98*t**2 Let f(j) be the second derivative of 2*j**3/3 + 42*j + 2. Let r(y) be the first derivative of 8*y**3/3 - 1. Calculate f(r(w)). 32*w**2 Let s(y) = -y**2 - y. Let j(p) = 3*p**2 + 11*p. Let q(l) = 2*j(l) + 22*s(l). Let z(h) = 9553*h - 3*h**2 - 9553*h. What is q(z(a))? -144*a**4 Let w(m) = -2*m**2. Suppose -11*a + 2*a + 99 = 0. Let x(n) = -a*n - 15 + 36 - 20. Determine w(x(o)). -242*o**2 + 44*o - 2 Let o(f) = 9*f**2 - 5*f + 5. Let y(g) = g**2 - g + 1. Let x = -46 - -41. Let n(q) = x*y(q) + o(q). Let m(k) = -2*k**2. Determine m(n(h)). -32*h**4 Let w(r) be the first derivative of 85*r**2/2 - 21. Let y(s) = -3*s. Give y(w(d)). -255*d Let l(r) = 222*r**2 + 5. Let q(d) = -d + 53. What is q(l(x))? -222*x**2 + 48 Let s(q) = -2*q**2 - 8*q. Let g(p) = 2*p**2 + 6*p. Let n(w) = -4*g(w) - 3*s(w). Let t(y) = 66*y - 2. What is t(n(r))? -132*r**2 - 2 Let k(p) = 39*p**2. Let c(d) be the first derivative of -55 + 0*d**2 + 0*d - 1/3*d**3. Determine k(c(s)). 39*s**4 Let c(v) = 109*v**2. Let s(w) be the third derivative of -w**5/20 - 2*w**2 + 228*w. Give c(s(o)). 981*o**4 Let k(l) = -4*l + 6. Let n(v) = 105*v - 154. Let y(s) = -77*k(s) - 3*n(s). Suppose 0 = -2*d + 5 + 3. Let j(t) = -2*t - d*t + 3*t + 6*t. Give y(j(u)). -21*u Let h(f) = 876*f - 1. Let x(w) = 20*w - 4. Give x(h(b)). 17520*b - 24 Let g(o) = -2*o**2. Let m(x) = 5*x - 9. Let s(h) = 2*h - 3. Let b(t) = 4*m(t) - 14*s(t). Let l(a) = a - 1. Let v(d) = -b(d) - 6*l(d). What is g(v(k))? -8*k**2 Let n(p) be the third derivative of -p**5/20 - 1487*p**2. Suppose -3*j + 4 - 3 = 5*m, 3*j - 3 = -3*m. Let l(g) = 6*g**j - 1 + 1. What is l(n(i))? 54*i**4 Let h(k) = 15*k - 6. Let a(d) = 135*d - 55. Let n(p) = 6*a(p) - 55*h(p). Let w(r) = 2*r. What is n(w(f))? -30*f Suppose 0 = 4*q + 5*o - 17, 7*o - 2*o = -3*q + 14. Let f(a) = -16 + 8 + 8 - q*a. Let h(v) = -35*v**2. Calculate f(h(w)). 105*w**2 Suppose -20 = -4*a - a. Suppose 0 = -2*x - 3*x - 4*o + 44, -4*x + 36 = a*o. Let v(t) = 0*t - 2*t - 4*t + x*t. Let h(k) = 3*k. Give v(h(l)). 6*l Let t(v) = -41*v**2 + 74*v**2 - 23*v**2. Let l(m) be the second derivative of m**3/2 - 4*m. Determine l(t(y)). 30*y**2 Let g(u) = -23*u**2 + 4*u + 4. Let d(p) = -23*p**2 + 5*p + 5. Let c(v) = -4*d(v) + 5*g(v). Let y(h) = -6*h**2. Calculate c(y(i)). -828*i**4 Let x(a) = 46*a. Let i(k) be the third derivative of 0*k**3 - 1/20*k**5 + 0*k**4 + 23*k**2 + 0*k + 0. Calculate i(x(s)). -6348*s**2 Let z(x) = 40*x. Let v(m) = -5*m**2 + 3*m - 15. Let u(l) = -3*l**2 + 2*l - 10. Let y(p) = 3*u(p) - 2*v(p). What is y(z(o))? 1600*o**2 Let a(p) = 72*p**2. Le
{ "pile_set_name": "DM Mathematics" }
alculate the highest common factor of 20 and v. 5 Let i = -2 - -77. What is the highest common factor of 30 and i? 15 Let t = -7 - -13. Calculate the greatest common factor of t and 10. 2 Let w = -89 + 34. Let q be (-4)/(-5)*w/(-2). What is the greatest common factor of q and 33? 11 Suppose 0*u + 133 = u. Let g(v) = -2 - 5*v + 3*v + 5. Let m be g(-8). Calculate the greatest common divisor of m and u. 19 Suppose -8*b + b = -637. Calculate the greatest common divisor of b and 13. 13 Suppose -5*f + 0*f + 65 = 0. What is the greatest common factor of 117 and f? 13 Let d = -15 - -17. Suppose -4*x + x - 5*o + 52 = 0, -d*x + 13 = -o. What is the greatest common divisor of x and 81? 9 Let p = -26 + 71. Suppose 0 = 13*x - 10*x - 6. Let b(j) = 8*j + 2. Let y be b(x). What is the greatest common divisor of y and p? 9 Let r(g) = -g**3 + 4*g**2 + 4*g - 5. Let o be r(5). Let f = o + 14. Calculate the greatest common divisor of f and 6. 2 Suppose 5*s - 40 = -2*x, 3*s - 20 = -8. Suppose -3*u = -3*m + m + 125, 0 = 2*m + 5*u - 165. Calculate the greatest common factor of x and m. 10 Let z be 3 + -2 - 1 - -88. Suppose 2*k = 3*k - 3*q - 23, -3*k + q = -37. What is the highest common factor of z and k? 11 Suppose -v + 72 = 3*v. Let z(s) = 2*s**2 - 28*s + 18. Let q be z(18). What is the greatest common factor of v and q? 18 Suppose 3*u - 7 = b, -2*u - 1 = -2*b - 3. What is the highest common factor of u and 9? 3 Let z(p) = p**2 + 7. Let g be z(9). Calculate the highest common factor of g and 22. 22 Let o = -27 + 45. What is the highest common factor of o and 45? 9 Suppose 5*t = -f - 14, -28 = 2*t + 2*t + 5*f. Let x be (1 - 1/2)*t. Let d = 8 - x. What is the greatest common factor of 9 and d? 9 Let m = -31 - -5. Let z = m + 37. Calculate the highest common divisor of 1 and z. 1 Suppose 0 = w - 0*w + 4*l - 18, -5*l = 5*w - 60. Calculate the greatest common divisor of w and 4. 2 Suppose 34*v - 688 = 332. Suppose 5*u = -3*r + 1653, u + 2*r - 328 = 4*r. What is the greatest common divisor of v and u? 30 Let m be (-1254)/(-14) - (-18)/42. Calculate the greatest common divisor of 30 and m. 30 Let a(r) = r**3 - 2*r**2 + 2*r - 2. Let k be a(3). Let f = k + -6. Let i = f + 0. What is the highest common divisor of 35 and i? 7 Let h = 7 - 5. Suppose -11 = 2*d + 2*c + 3*c, -3*d + 5*c + 21 = 0. What is the highest common factor of d and h? 2 Let s(q) be the second derivative of q**5/20 + q**3/6 + 7*q**2/2 - 3*q. Let l be s(0). Calculate the highest common factor of l and 21. 7 Let o(w) = w**3 + 5*w**2 - w - 12. Let d be o(-4). Calculate the greatest common divisor of 8 and d. 8 Suppose -5*f = -0*f. Suppose f*v - v + 36 = 0. Calculate the highest common divisor of 24 and v. 12 Let q = -7 - -17. What is the greatest common factor of 110 and q? 10 Let b be 8/(-4) + -2 - -25. Calculate the greatest common divisor of 3 and b. 3 Let y = 6 + -4. Suppose y*a - 6 = a. Let t(x) = x**3 - 6*x**2 + 2*x - 3. Let l be t(a). Calculate the greatest common factor of l and 18. 9 Suppose -n - h - 8 = -59, 0 = -4*n + 2*h + 222. Calculate the highest common factor of 6 and n. 6 Let q(r) = 21*r**2 - r. Let u be q(-1). Let p = 2 + 0. What is the greatest common divisor of p and u? 2 Suppose 3*l + 23 = -y, -2*l - 3*l = -3*y - 13. Let v = 6 - y. Let f = 1 + v. Calculate the greatest common divisor of 144 and f. 18 Let v be -2 - (2 + -2) - -40. Calculate the greatest common divisor of v and 95. 19 Let d be -1 + 2 + (1 - -3). Let k(z) = z**2 - 1. Let q be k(-4). Calculate the highest common divisor of q and d. 5 Suppose 5*k + 58 = 4*q - 0, -3*k + 74 = 4*q. Let p = -72 + 276. Suppose -r = r - p. Calculate the highest common divisor of r and q. 17 Suppose r - 224 = -r - 4*p, 2*r + 2*p = 232. What is the highest common factor of r and 15? 15 Let y be 10 + (-7)/(21/6). What is the highest common divisor of y and 32? 8 Let j = -20 - -55. Calculate the greatest common divisor of j and 35. 35 Let s(h) = -55*h**3 + h**2 - h - 2. Let d be s(-1). What is the greatest common factor of 22 and d? 11 Suppose -4*n + 31 = 2*h + n, -5*n - 25 = 0. Calculate the greatest common divisor of 70 and h. 14 Let n be 0/((0 - 0) + -1). Suppose v + 1 - 5 = n. Let i be (1 - v)/((-9)/6). What is the highest common divisor of 8 and i? 2 Let x(m) = -m - 1. Let c be x(2). Let q be 483/9 - 1/c. Calculate the greatest common factor of 18 and q. 18 Let n be ((-60)/15)/(12/(-9)). Let s = -42 + 66. Calculate the highest common factor of s and n. 3 Let k be (-40)/(-16) + 1/(-2). What is the greatest common factor of 6 and k? 2 Let f = -8 + 11. Let d(k) = 2*k**2 - k + 3. Let v be d(f). Calculate the greatest common factor of v and 27. 9 Suppose 4*u - 974 + 50 = 0. Suppose -11*o + 14*o = 63. What is the highest common factor of u and o? 21 Let c = 3 - -7. What is the greatest common divisor of c and 5? 5 Let z be 4 + (3 - (2 - 0)). Suppose -6*d + 90 = 5*b - d, -z*b + 118 = -2*d. Calculate the greatest common divisor of 55 and b. 11 Let k = 23 - 13. Let a(p) = -p - 2. Let m be a(-4). Calculate the greatest common factor of m and k. 2 Let o(k) = -k**2 + 8*k - 6. Let r(a) = -2*a**2 + 3*a**2 + a**3 + 3*a**2 + a. Let m be r(-3). Let f be o(m). Calculate the greatest common factor of f and 6. 6 Let l = 7 - 7. Suppose l = g + g - 2. Calculate the greatest common factor of 7 and g. 1 Suppose -2*q + 2020 = 5*t, 4*t - 792 = 2*t - 4*q. What is the highest common factor of t and 58? 58 Let t(w) = 3*w**2 + 3*w**2 + 0*w**2 + 5*w - 3*w**2. Let v be t(5). Suppose 21 = 2*i + 1. What is the greatest common factor of v and i? 10 Let g = 2 + 0. Suppose -2*k = 4*s, 0*k - 5*k = g*s. Suppose -h - 3*h + 168 = k. Calculate the greatest common factor of h and 28. 14 Suppose -y + 5*k + 7 = 3*k, 5*k = -10. Calculate the highest common factor of 33 and y. 3 Let h(s) be the first derivative of 11*s**3/3 - s**2/2 - s - 3. Let w be h(-1). Let a be 1095/9 + 2/(-3). Calculate the greatest common factor of a and w. 11 Let o = -69 - -9. Let d = -36 - o. What is the highest common factor of 16 and d? 8 Let i be (2/3)/(10/90). Calculate the greatest common divisor of i and 12. 6 Let z(u) = 9*u**2 + u + 2. Let o be z(-2). Suppose 0 = -g - 3*g + o. Let q be (-3)/(-12) + 35/4. What is the greatest common divisor of q and g? 9 Suppose -4*s - 7*s + 110 = 0. Calculate the highest common factor of s and 30. 10 Let g(v) = 2*v. Let l be g(1). Suppose -1 = 3*h - 22. Let j = h - l. Calculate the highest common divisor of j and 15. 5 Let d(v) = v**3 - 5*v**2 + v - 1. Let m = 12 - 7. Let u be d(m). What is the highest common factor of 44 and u? 4 Suppose -27 - 181 = -4*i. Calculate the highest common divisor of i and 78. 26 Suppose -2*v + 3*v = 4. Suppose c + 3*n - 145 = 25, -2*n - 638 = -v*c. What is the greatest common factor of c and 23? 23 Let f = -62 + 104. Calculate the greatest common divisor of f and 6. 6 Let g(r) = 10*r + 5. Let v be g(4). Suppose -3*c = -10 + 1. Suppose -2*w - c*w + 75 = 0. Calculate the greatest common divisor of v and w. 15 Let m = 84 - 12. What is the greatest common divisor of 8 and m? 8 Suppose -u + 0*w - 13 = -2*w, 0 = u - 3*w + 9. Suppose -5*y - 43 = 152. Let f = u - y. What is the highest common factor of f and 108? 18 Let y be (-1)/(-5) + (3 - (-5)/(-25)). Calculate the highest common factor of 27 and y. 3 Suppose -3*n + 20 + 7 = 0. What is the highest common factor of n and 45? 9 Let t(c) = c**2 + 5*c - 8. Let q be t(-6). Let w be 32/6*3/q. Let l be (w/6)/(2/(-9)). Calculate the highest common factor of 42 and l. 6 Let u be 4/18 - 4341/(-27). What is the greatest common factor of u and 23? 23 Suppose -a + 41 = -q, 6 + 14 = -5*q. What is the highest common factor of 185 and a? 37 Let d(u) = u**2 - u + 24. Let l be d(0). Let w(v) = -2*v**2 + 6 - 5*v**3 - 1 + 3*v - v**3 - 3. Let a be w(-2). Calculate the greatest common factor of l and a. 12 Suppose -y = 2*f - 23, -5*f = 5*y - 70 - 0. Suppose -3*z + 168 = -21. Calculate the highest common factor of f and z. 9 Let l be ((-3)/6)/(2/(-4)). Let q = -1 + l. Suppose 0*m + 4*m - 8 = q. What is the highest common divisor of m and 6? 2 Let k(a) = 329*a**3 + 3*a - 2. Let s be k(1). What is the highest common divisor of 30 and s? 30 Suppose -r + 0*r - 9 = -4*u, 3*u = 6. Let m be (1 - r)*(-5)/(-2). Calculate the greates
{ "pile_set_name": "DM Mathematics" }
**3 - 7*p**2 - 10*p - 4. Let v(w) = 5*g(w) - 2*z(w). Is 7 a factor of v(-6)? False Let z(l) = -6*l**2 + 8*l - 3. Let o(d) = d**2 + d + 1. Let w(k) = -5*o(k) - z(k). Does 3 divide w(14)? True Let u = -7 + 15. Is 7 a factor of u? False Let s(d) = 2*d**2 - 7*d - 1. Let g(x) = -x + 2. Let r be g(2). Let h = r - -5. Is 14 a factor of s(h)? True Let u(b) = -b**3 + 8*b**2 + 3*b + 8. Let f be u(8). Let m be f/(-12)*(-6 + 0). Suppose z - 3*z = -m. Is z a multiple of 8? True Suppose c - 4*o = -37, 3*o = -c - 51 - 0. Let q = 18 - c. Is q a multiple of 21? True Let w(c) be the third derivative of -1/2*c**3 + 0 + 1/60*c**6 - 1/60*c**5 + 1/8*c**4 + c**2 + 0*c. Does 13 divide w(2)? False Let m be 0 + 2 + (-4 - -6). Suppose -m*k + 2*h + 16 = 0, -3*h = -3*k + 2*k + 4. Suppose k*i - 36 = 44. Is i a multiple of 10? True Let c = 6 + -7. Is 3 - (-19 + (-3)/c) a multiple of 7? False Let y = 314 + -206. Is 9 a factor of y? True Let p(v) = v + 1. Let y be p(1). Let b = y + -6. Is 54/(-1)*2/b a multiple of 11? False Let g(l) = -l - 6. Let w be g(-5). Let c = -4 - -5. Is 10 a factor of 20 + c + (1 - w)? False Suppose g + 21 = -2*a + 76, 0 = -3*g - 5*a + 160. Is g a multiple of 16? False Suppose 0*x + 3*x + 2*u - 4 = 0, -3*x = -3*u - 9. Suppose f - 3*z = -9, -4*f + 7*f + 9 = 3*z. Suppose x*v + 64 = 2*q - 2*v, q + 4*v - 20 = f. Does 15 divide q? False Does 20 divide (-1050)/(-28) + 1/(-2)? False Let r(w) = w**3 + 18*w**2 - 13*w - 32. Is r(-18) a multiple of 21? False Let b be (-2)/4 + 11/22. Suppose 10 = 2*u - i, -2*u + b*i = 5*i - 10. Is u a multiple of 4? False Let b = 210 + -76. Let h = -91 + b. Is 12 a factor of h? False Let w be 3 - (0 - (1 + -2)). Let a be 6/(-18) + (-10)/(-3). Suppose a*d - 93 = 3*k, 0 = 6*d - w*d + 5*k - 115. Is d a multiple of 15? True Suppose -2*b + 210 = 5*n + 3*b, 2*n = 5*b + 119. Does 6 divide n? False Suppose 0 = -3*w - g + 630, -2*w + 7*g + 412 = 5*g. Is 32 a factor of w? False Is (39/26)/(2/48) a multiple of 9? True Suppose y + 2 = -2*x + 17, 0 = -5*x + 15. Does 3 divide y? True Suppose 0 = -23*q + 19*q + 1088. Is q a multiple of 16? True Suppose -2 + 3 = c. Suppose 4*w = 23 + c. Is w a multiple of 2? True Suppose 5*f - 192 = -2. Does 17 divide f? False Let h be 1/(2/(-108)*-3). Suppose y - h = 12. Does 11 divide y? False Let l = 7 + -5. Suppose 0 = -0*m - l*m - 30. Let r = m - -21. Does 3 divide r? True Let i = 155 + -100. Let s = i + -13. Is s a multiple of 14? True Let r be (-2)/(-6) - 95/(-3). Suppose -3*k - 5*q + 6 = -2*q, 2*k + 4*q = 2. Suppose r + 43 = k*a. Is 12 a factor of a? False Suppose 0*d + 540 = 5*d. Suppose 3*i = -i + d. Is 9 a factor of i? True Let j be 2/6 + (-6)/(-9). Is 5 a factor of (2/(-3) + j)*57? False Suppose -46 = -4*x + 4*n - 6, 0 = -4*x + 5*n + 42. Is 7 a factor of x? False Let s = -2 - -23. Does 2 divide s? False Let m = 15 + -19. Is 4 a factor of (-6)/m - (-5)/2? True Suppose -3*o - 2*s + 2 = -o, 0 = 2*o - s + 10. Let v(k) = -k - 1. Let b(i) = -17*i + 1. Let w(u) = b(u) - 3*v(u). Does 23 divide w(o)? True Let u = -18 + 101. Does 16 divide u? False Let h(a) = -2*a**2 + 1 + a**3 - 3*a - 2*a**3 + 5*a. Let z be h(-3). Suppose -4*g + 2*k + 17 = -57, -3*k + 69 = z*g. Is 9 a factor of g? True Suppose -3*b + 2 = -2*b. Suppose -3*t - 2*y - 2*y = -121, -b*t + 3*y = -75. Is 11 a factor of t? False Let m be (-30)/12*(-4)/5. Suppose 50 = 4*f - m. Does 8 divide f? False Suppose 9*z - 290 = 4*z. Is z a multiple of 4? False Let n = -1 - -3. Suppose -2*t - n = r + 8, 0 = -t + 4*r + 4. Is t*3/14*-7 a multiple of 3? True Is 4 a factor of 579/12 + (-1)/(0 + 4)? True Is -4 - (2 + 3 + -21) a multiple of 3? True Let p(w) = w**2 + 2*w + 1. Let n be p(2). Suppose y - 3*c = 12 + 2, 3*c + n = 0. Is 5 a factor of y? True Suppose -5*r + t = 5*t - 3, 3*t = -5*r + 6. Is r a multiple of 3? True Suppose h + 81 = 4*w - 3*w, 5*h - 93 = -w. Is w a multiple of 19? False Let t = 14 + -38. Let x = -18 - t. Does 2 divide x? True Let k(w) = w**3 + 6*w**2 - 7*w - 2. Let s be k(-7). Let m be s*(9/(-2) + 2). Suppose -z + 11 = -5*i + 35, 5*z + 40 = m*i. Does 3 divide i? False Suppose 5*p = -4*y + 64, -5*p + y + 59 = -0*y. Let n = p - -10. Does 22 divide n? True Let w(r) = -r - 1. Let p be w(-3). Suppose -y + 69 = p*y. Is y a multiple of 17? False Suppose -11 = -4*n + 5. Let s(r) = 4*r**2 - 5*r - 13. Let c(x) = 3*x**2 - 4*x - 14. Let z(k) = n*s(k) - 5*c(k). Does 9 divide z(0)? True Suppose 2*b - 102 = 10. Is 11 a factor of b? False Let w(u) = 48*u - 3. Is w(2) a multiple of 30? False Let l(o) = -1 - 12*o + 1 + 0. Does 6 divide l(-1)? True Let c be -2 - -2 - 16/(-4). Suppose -14 - c = -2*a. Let n = a + 0. Is n a multiple of 7? False Let q be ((-2)/(-4))/(3/18). Suppose 2*p + 10 = 0, 3*k + 4*p + q = p. Is k even? True Let p(l) = 7*l**2 + 5*l - 2. Is p(2) a multiple of 12? True Let s(b) = b + 4. Let h be s(-9). Let l = 31 - h. Is 18 a factor of l? True Let m = 16 - -19. Is 10 a factor of m? False Let b(w) be the third derivative of 5*w**4/24 + 2*w**2. Let s be b(-1). Let q = s - -8. Is q even? False Let g(c) be the second derivative of -c**4/12 + 4*c**3/3 + 3*c**2 + 3*c. Is 13 a factor of g(7)? True Suppose -5*n + 20 - 5 = 0. Suppose 47 = z + 3*w, -n*z - 5*w - 66 = -227. Let a = -32 + z. Is 15 a factor of a? True Let v(g) = 2*g**2 + 4*g - 2. Let z(l) = 0*l - l - 1 + 13. Let o be z(9). Is v(o) a multiple of 14? True Let l = 81 + -44. Let q = l + -23. Let z = -4 + q. Is 4 a factor of z? False Suppose d + 21 = -3*s + 4*d, 3*d + 6 = 0. Let y(t) = -t**2 - 10*t + 12. Is y(s) a multiple of 11? False Let h(x) = x**2 - 11*x - 15. Let b be h(12). Let d be b/(-2)*2/(-3). Does 12 divide d*2 + (5 - -25)? False Let o(f) = 2*f**3 - 16*f**2 + 10*f. Is 18 a factor of o(8)? False Let i(n) be the first derivative of -n - 11/2*n**2 + 3. Is i(-1) a multiple of 10? True Let b = -5 + 9. Let t = 1 + b. Is t a multiple of 2? False Suppose 0 = 4*t - 0*t - 20. Suppose 6*r = 4*r - t*q + 58, 3*q - 144 = -4*r. Is r a multiple of 7? False Is 16 a factor of 1054/6 + (-1)/(-12)*4? True Does 24 divide 1 - -1 - ((2 - 2) + -166)? True Let t be (-2)/3 - (-265)/(-3). Let h = t - -176. Is h a multiple of 27? False Suppose 0 = -2*u + j + 87, 4*u - 4*j - 100 - 76 = 0. Does 12 divide u? False Suppose 5*o = 2*o + 18. Suppose 3*t - o = 6*t. Is 8/(-10)*85/t a multiple of 14? False Let v(x) = x**3 - 9*x**2 + 7*x + 7. Let z be v(8). Is z/(-2) + 440/16 a multiple of 14? True Let y(v) = -2*v - 5. Let f be y(-4). Suppose 6*q - 4*q + z + f = 0, -2*q + 15 = -5*z. Suppose -l + 11 = -q*l. Does 11 divide l? True Let v be (2/3)/((-2)/(-15)). Let q be 2 - v/(5/2). Let b = q + 4. Is 2 a factor of b? True Let g = -36 + 76. Suppose -5*h - 78 = -3*s, -5*s + 3*h = -25 - 105. Let t = g - s. Does 6 divide t? False Let b(c) = -c**2 + 2*c + 2. Let r be b(2). Let k be 2/(-8) - 129/(-4). Suppose -r*x = -16 - k. Does 12 divide x? True Is 5 a factor of (-425)/10*((-3)/(-15) - 1)? False Let o(b) = -b**3 + 9*b**2 - 10*b + 9. Let d be o(8). Let n = 12 + d. Does 2 divide n? False Let c = -22 + 107. Suppose -5*m + 0*m = -c. Does 17 divide m? True Let l = 32 + 111. Suppose v - 20 = 2*a + 11, -4*a = 3*v - l. Is v a multiple of 14? False Is ((-2)/6)/((-4)/156) a multiple of 9? False Let v = 15 - 7. Let h = -4 - -6. Let z = v - h. Is 3 a factor of z? True Suppose -5*p + 4*q = 3*q - 50, 40 = 4*p - 5*q. Let n = 14 - p. Suppose 0 = 5*v - n*g - 27, -2*v + 4*g = -3*v + 15. Is v a multiple of 7? True Suppose 2*k - 18 = 2*c, 2*k = 6*k + c - 11. Suppose 20 = v + 2*v - 2*h, h - 12 = -k*v. Suppose v = -w + 13. Is w a multiple of 9? True Let n = -79 - -112. Is n a multiple of 33? True Let a be 6/(-9) - (-118)/6. Suppose -3*c = -2*c - a. Is c a multiple of 19? True Let a = -1 + -5. Let l be a + 8 - (-15 + 0). Let n = l + -8. Does 4 divide n? False Let v(r) = -17*r - 36. Is 13 a factor of v(-9)? True Let v(k) = -k**2 - 6*k - 2. Let d be v(-4). Suppose -2*p + d = -44. Is p a multiple of 8? False Suppose 134 = -3*n + 494. Does 20 divide n? True Let c(p) = 3*p**2 - 8*p + 9. Let u be c(6). Is 23 a factor of ((-12)/(-18))/(2/u)? True Let d = -43 + 52. Does 4 divide d? False Let v(n) = 44*n**3 - n. Let t be v(1). Let x = -12 + t. Is x a multiple of 17? False Suppose -105 = 3*i - 4*i. Let p = -51 + i. Is p a multiple of 18? True Suppose 0 = b + 5, -
{ "pile_set_name": "DM Mathematics" }
)*(4*y - 3)/11 Let k = 802435 + -12036469/15. Factor -k*s - 32/15*s**2 - 2/15*s**3 + 0. -2*s*(s + 2)*(s + 14)/15 Let h(q) = -5*q + 130. Let j be h(26). Suppose -22*k + 17*k + 3*y - 9 = 0, j = -y + 3. Factor 16/5*b - 196/5*b**4 - 128/5*b**2 + k + 308/5*b**3. -4*b*(b - 1)*(7*b - 2)**2/5 Suppose 0 = 4*n, 2*p - 3*n - 11 + 5 = 0. Factor 21*h - 3*h**4 - 42*h**2 - 18976 + 21*h**3 + 18976 + p*h. -3*h*(h - 4)*(h - 2)*(h - 1) Let v = 312638/63 + -34736/7. Factor v*b - 1/9*b**3 + 0 - 1/9*b**2. -b*(b - 1)*(b + 2)/9 Let a(f) = -f**2 - 17*f + 35. Let v be a(-16). Suppose 5*h = 5, 0 = 2*r + h - 22 - v. Factor j**3 + r*j + 0*j**3 - 35*j + j**2 + j**2. j*(j + 1)**2 Let i(k) be the second derivative of k**7/252 + k**6/60 + k**5/40 + k**4/72 - 13*k + 15. Let i(d) = 0. What is d? -1, 0 Let y(g) be the first derivative of -g**3/9 + 73*g**2/6 + 830*g/3 + 5383. Solve y(r) = 0. -10, 83 Let k = 52 - 43. Let j be (-2 - (-20)/k) + 1360/360. Suppose -1/2 + 5/2*d**j - 2*d - 2*d**2 + d**3 + d**5 = 0. What is d? -1, -1/2, 1 Let d(u) = 9*u**2 - 138*u + 1506. Let q(n) = 8*n**2 - 137*n + 1497. Let b(x) = 5*d(x) - 6*q(x). Solve b(f) = 0. 22 Let b(n) be the first derivative of -n**4/6 + 148*n**3/9 - 349*n**2/3 + 184*n - 572. Let b(v) = 0. What is v? 1, 4, 69 Let n(g) be the first derivative of g**6/105 - g**5/7 + 13*g**4/42 + 20*g**3/7 + 36*g**2/7 - 26*g - 43. Let f(o) be the first derivative of n(o). Factor f(l). 2*(l - 6)**2*(l + 1)**2/7 Let m(h) be the third derivative of -h**7/12600 + h**6/600 + 83*h**4/24 + 26*h**2 + 4. Let w(f) be the second derivative of m(f). Factor w(a). -a*(a - 6)/5 Suppose 21 = 2*a - 3*o, -19 = 3*o - 4. Find k, given that -2220*k + 1730*k + 95*k**3 + 5*k**4 - 5145 + 420*k**2 - 5*k**a = 0. -7, 3 Let w(m) be the first derivative of m**7/210 - m**6/12 + 3*m**5/5 - 7*m**4/3 + 16*m**3/3 - 24*m**2 + 61. Let f(i) be the second derivative of w(i). Factor f(n). (n - 4)*(n - 2)**3 Let g(z) be the third derivative of 8/5*z**3 + 11/300*z**6 + 0*z - 12*z**2 + 19/75*z**5 + 1/525*z**7 + 11 + 13/15*z**4. Factor g(a). 2*(a + 1)*(a + 2)**2*(a + 6)/5 Let k(t) = 2*t + 1. Let c(g) = -g**2 - 24*g - 5. Let i be (2/(-5))/(46/(-115)). Let a(m) = i*c(m) + 5*k(m). Find f such that a(f) = 0. -14, 0 Let g(m) be the second derivative of m**4/8 + 261*m**3/2 + 204363*m**2/4 + 12*m - 130. Factor g(b). 3*(b + 261)**2/2 Let h(d) = -d**3 - 11*d**2 - 10*d + 4. Let m be h(-10). Suppose 57*y - 52*y = 10. Factor -72 - m*w**3 + 69 - 9*w**y + w**3 - 9*w. -3*(w + 1)**3 Factor 11/4*b**3 + 0 - 5*b**2 - 75*b + 1/4*b**4. b*(b - 5)*(b + 6)*(b + 10)/4 Let p be (-10)/60 - 85/(-6). Let 26*w**2 - p*w**2 + 16*w**2 - 64 - 24*w = 0. Calculate w. -8/7, 2 Let g(u) be the first derivative of u**4/18 + 2*u**3/9 - 50*u - 75. Let d(b) be the first derivative of g(b). Factor d(a). 2*a*(a + 2)/3 Let g(v) be the first derivative of -v**4/6 + 6*v**3 - 50*v**2/3 + 257. What is i in g(i) = 0? 0, 2, 25 Suppose 4*u - 10 = 5*a, 13*a = 12*a - 2*u + 12. Factor p**2 - 1370 + 8*p + 5*p**a - 5*p**2 + 1386. (p + 4)**2 Factor y + 1/4*y**2 - 5/4. (y - 1)*(y + 5)/4 Let z(w) be the second derivative of -w**7/147 + w**6/21 + 141*w**5/70 - 7*w**4/6 - 364*w**3/3 + 588*w**2 - 3988*w. Suppose z(s) = 0. Calculate s. -7, 2, 3, 14 Let n be (-325)/4*(-54752)/266916. Factor -95/3*i + n + 15*i**2. 5*(i - 1)*(9*i - 10)/3 Let w(y) be the second derivative of y**5/30 - 29*y**4/6 - 59*y**3/3 + 185*y**2/2 - 216*y. Let g(k) be the first derivative of w(k). Solve g(u) = 0. -1, 59 Let c = 195 - 1432/7. Let l = c - -363/35. Find u such that 0*u**3 - 2/5*u**5 - 4/5*u**4 + 2/5*u + 0 + l*u**2 = 0. -1, 0, 1 Let v(x) = -10*x**3 - 186*x**2 - 1592*x - 3042. Let q(o) = 8*o**3 + 186*o**2 + 1591*o + 3040. Let z(s) = 6*q(s) + 5*v(s). Let z(i) = 0. What is i? -5, -3, 101 Let w(r) be the third derivative of r**8/30240 + r**7/1134 + r**6/270 - 9*r**5/5 + 9*r**2. Let n(c) be the third derivative of w(c). Factor n(m). 2*(m + 6)*(3*m + 2)/9 Suppose 1190*m - 178*m**3 + 5*m**4 + 300 - 52*m**3 - 1005 - 260*m**2 = 0. What is m? -3, 1, 47 Let 171310*m**3 - 8090*m**2 - 85653*m**3 - 85652*m**3 = 0. Calculate m. 0, 1618 Let o be (-2)/(-8) + 239/(-956). Let j(k) be the first derivative of 0*k - 4*k**4 + 1 + o*k**2 - 16/9*k**3 - 4/3*k**5. Factor j(l). -4*l**2*(l + 2)*(5*l + 2)/3 Suppose -5*w + 7*w = -28. Let s be (-1 - (-4)/12) + w/(-3). Let -6*v**2 + 2*v**2 + 0*v**4 - 8*v**3 + v**4 - 6*v**s - v**5 = 0. Calculate v. -2, -1, 0 Suppose 5*a + 191 = 2*g - 305, -a = -g + 248. Let n = g + -15. Factor -229 - s + 3*s**2 + s**3 + n - 7*s**2. (s - 4)*(s - 1)*(s + 1) Let i be 211310/22440 - (-14)/24. Suppose i*h - 125 - 1/5*h**2 = 0. Calculate h. 25 Factor -178/9*r + 52/9 - 14/9*r**2. -2*(r + 13)*(7*r - 2)/9 Let a(q) be the second derivative of -q**6/6 + 27*q**5/2 + 805*q**4/4 + 2000*q**3/3 + 930*q**2 - 5311*q. Solve a(d) = 0. -6, -1, 62 Let i be (-738)/7190*(-164)/12. Let r = -2/719 + i. Factor -r*a + 8/5*a**2 - 3/5*a**3 + 2/5. -(a - 1)**2*(3*a - 2)/5 Suppose 5*i + 25 = 5*x - 15, i - 19 = -2*x. Solve i - 1/6*z**5 + z**3 - 1/3*z**4 + 2/3*z**2 - 13/6*z = 0 for z. -3, -2, 1 Factor -25*g + 2 + 8 - g**4 + 10*g**2 + 30*g**3 - 25 + 6*g**4 - 5*g**5. -5*(g - 3)*(g - 1)*(g + 1)**3 Let o(a) = -a. Let q(m) = m**3 - m**2 - 3*m - 5. Let w be q(3). Let l(u) = u**2 - 7*u + 7. Let j(i) = w*o(i) + 4*l(i). Factor j(h). 4*(h - 7)*(h - 1) Find d such that -1379*d + 306572 - 4*d**2 - 1285065 - 4685*d - 1319763 = 0. -758 Let s be 15274/7*(7/4 - 2). Let l = 546 + s. Factor 0 + 1/2*b**2 - l*b. b*(b - 1)/2 Suppose -37 = 8*o - 69. Suppose o*p - 5*a + 7 = 0, -5*p - 47*a + 42*a + 25 = 0. Suppose -25/6*r - 15/2*r**4 + 15/2*r**3 + 35/6*r**p - 5/3 = 0. What is r? -2/3, -1/3, 1 Suppose 40 + 33 = 155*k - 237. Let y be (2/3)/(2/156). Find o such that -2*o - y*o**k + 4*o**5 - 28*o**4 + 20*o**3 + 40*o**3 + 0*o + 18*o = 0. 0, 1, 4 Suppose 44*f + 19091 = -4581. Let t = -9144/17 - f. Suppose -4/17 - 8/17*k**3 + t*k**5 + 4/17*k**2 + 6/17*k + 0*k**4 = 0. What is k? -2, -1, 1 Suppose 30*p - 550 = -20*p. Let j be (4/6)/(3/18). Find h such that 12*h**2 - p*h + 16*h**3 - h + 6*h**j - 22*h**2 = 0. -3, -2/3, 0, 1 Suppose -8*x + 18*x - 90 = 0. Suppose x*m - 33 = 12. Let 2/11*g**3 - 2/11*g**m + 0*g**4 + 0 + 0*g + 0*g**2 = 0. Calculate g. -1, 0, 1 Let g be (-6)/(-9)*90/20. Find j, given that -3*j**3 + 760*j**2 - 760*j**2 + g*j = 0. -1, 0, 1 Determine i, given that -314 - 47*i**2 + 18 + 20*i**2 - 156*i + 23*i**2 = 0. -37, -2 Let r = -72856 - -218576/3. Suppose 8/3*f**3 + 26/3*f**2 - r - 26/3*f = 0. Calculate f. -4, -1/4, 1 Let y be (-1*(-7)/(-70))/((168/12)/(-112)). Suppose -9/10*o**2 + 0 - 1/10*o**3 - y*o = 0. Calculate o. -8, -1, 0 Let a(b) be the second derivative of -9*b**5/14 - 13*b**4/3 - 8*b**3/21 - 6*b - 359. Factor a(i). -2*i*(i + 4)*(45*i + 2)/7 Let y(t) be the second derivative of 1/4*t**4 + 0*t**2 + 53/2*t**3 + 0 - 233*t. Factor y(c). 3*c*(c + 53) Let -f**2 - 2 + 4 - 6 - 36*f - 2 + 31*f = 0. What is f? -3, -2 Factor -256*v**4 + 112*v**2 - 660*v**3 - 346*v**5 + 170*v**5 - 1280*v + 156*v**4 - 1712*v**2 + 171*v**5. -5*v*(v + 2)**2*(v + 8)**2 Let f(i) be the third derivative of 8*i**6/25 - 324*i**5/25 - 483*i**4/8 - 539*i**3/5 + 7*i**2 + 21*i + 2. Factor f(b). 3*(b - 22)*(8*b + 7)**2/5 Let w be 20 - 53/((-5565)/(-2010)). Factor -w*m**3 + 2/7*m**5 + 0 - 10/7*m**2 + 2/7*m**4 - 4/7*m. 2*m*(m - 2)*(m + 1)**3/7 Suppose 47*o - 28 = 66. Suppose 8*z**3 + 14*z**3 - 2*z**5 - 11*z**3 + z**5 - 12*z**2 - 36*z + o*z**4 = 0. Calculate z. -2, 0, 3 Let b(h) be the third derivative of h**5/90 - 7*h**4/9 - 55*h**3/3 + h**2 + 9*h + 70. Suppose b(z) = 0. What is z? -5, 33 Let h(b) be the third derivative of -b**5/40 + 401*b**4/16 - 2310*b**2. Factor h(m). -3*m*(m - 401)/2 Let g = -2757 - -2747. Let t be 108/33 - (-9)/45*g. Suppose -2/11*f**4 + 26/11*f - 30/11*f**2 - 8/11 + t*f**3 = 0. What is f? 1, 4 Factor 3/2 - 7*v**2 + 41/2*v. -(v - 3)*(14*v + 1)/2 Suppose -3*n + 3 = -3*v - 3, -v = 3*n - 18. Let r(c) be the first derivative of 4 + 8 - 26*c**v + 25*c**3. Factor r(g). -3*g**2 Let h be (-25608)/(-32) - (-9)/12. Let f = h + -792. Factor -48/5*o**3 + 27/5 - 24/5*o**2 + f*o. -3*(o - 1)*(4*o + 3)**2/5 Let t(c) = 128*c**4 + 524*c**3 + 455*c**2 - 36*c + 7. Let g(b) = -43*b**4 - 175*b**3 - 154*b**2 + 12*b - 2. Let y(l) = -7*g(l) - 2*t(l). Factor y(k).
{ "pile_set_name": "DM Mathematics" }
208*1 -208 Work out 0.5 * 0.73. 0.365 What is 1 times 1523? 1523 Multiply -127.5 and 0.1. -12.75 What is the product of -64 and 6? -384 Calculate -76*10. -760 0.0424 * 21 0.8904 What is 3 times -146? -438 Multiply -0.066 and 0.3. -0.0198 0.3 times 0.201 0.0603 0.2 * -0.5 -0.1 Product of -0.0636 and 0.13. -0.008268 Product of 0 and -3267. 0 -247 times -0.18 44.46 Multiply 2285 and -0.4. -914 0 times 4.1 0 11*-35 -385 -146 times -0.141 20.586 Product of -0.05 and -241. 12.05 Calculate 0.1*0.8. 0.08 What is -22 times 3? -66 What is the product of -1.1 and 41? -45.1 Calculate -1.1*2.186. -2.4046 2 times -1585 -3170 Calculate 5*-13.3. -66.5 -428 * 0.5 -214 Product of 59 and -34. -2006 -13.7 * -0.072 0.9864 55 * -0.2 -11 What is the product of 3.61 and -1? -3.61 Product of 448 and -7. -3136 -32*325 -10400 Work out 21.2 * 20.1. 426.12 Calculate 0.2*8.15. 1.63 What is the product of -92 and -1? 92 -0.4 times 813 -325.2 Multiply -3.6 and 1. -3.6 Work out -2.54 * 0.12. -0.3048 -204 * -54 11016 What is the product of 3 and 0.168? 0.504 Calculate -153*0.4. -61.2 0.097*1.3 0.1261 What is the product of -7 and 0.3? -2.1 Multiply 0.5 and -353. -176.5 -1 times 3.2 -3.2 Calculate 9*-211. -1899 -44 * -0.168 7.392 6 * 0.16 0.96 Multiply 5 and 49. 245 Calculate 5*0.05. 0.25 What is 18.9 times 0.07? 1.323 Calculate 20.6*0.03. 0.618 0.2 * 1 0.2 0.034 times -190 -6.46 -0.2*-19 3.8 Multiply 0.5 and 28. 14 Calculate -0.2*13.1. -2.62 -205 times 13 -2665 Calculate 5*-0.019. -0.095 What is the product of 4.9 and 47? 230.3 Calculate 51*6. 306 2156 * -3 -6468 Work out -4 * 0.185. -0.74 Multiply -33 and 0.06. -1.98 Calculate -0.5*-5.6. 2.8 -3666 * -0.5 1833 Product of 88 and -0.2. -17.6 What is -0.01 times 234? -2.34 What is 24 times -11? -264 -0.2272 * 0.08 -0.018176 -2*-506 1012 -1 times -0.5 0.5 -0.4 * 0.338 -0.1352 -5915 times -0.5 2957.5 Calculate 8*-69. -552 17.51*3 52.53 Multiply 458 and 2. 916 Work out 0.05 * 15. 0.75 Multiply 3.82 and -5. -19.1 -21 times -16 336 What is -63.3 times 1.8? -113.94 Multiply -45 and 1.15. -51.75 6 times -0.838 -5.028 66 times 0.08 5.28 -0.0867*-0.5 0.04335 14 * -1 -14 -0.14*15 -2.1 Product of -2.8 and 0.2. -0.56 Work out 0.4 * -453. -181.2 Multiply -298.1 and 0.3. -89.43 Work out 0.3 * 23.6. 7.08 Work out 14.7 * -7.1. -104.37 What is the product of 3603 and -1? -3603 0.7 times 0.1 0.07 -2 * -52 104 What is 16206 times 5? 81030 531*2 1062 59068 * 0.2 11813.6 3.76 times 0.4 1.504 Work out 2585 * -3. -7755 What is the product of 1.7 and 1.9? 3.23 Work out -50.6 * -0.5. 25.3 What is 0 times -0.003? 0 What is -2.2 times 0.714? -1.5708 Multiply 0.009 and 132. 1.188 What is -0.01 times 2.91? -0.0291 Calculate 0.13*78. 10.14 -0.5 times 19 -9.5 What is the product of 0.4 and 4? 1.6 0.5*-213 -106.5 Product of -72 and -2. 144 0.146 * -0.07 -0.01022 Product of -270 and -0.8. 216 Product of -0.5 and -0.2. 0.1 Work out 2 * -0.493. -0.986 Calculate 11*-7. -77 What is 16 times 31? 496 What is -323 times -2.9? 936.7 69.2 * -5 -346 -4 * 5.5 -22 -38*-37 1406 Calculate 322*0.3. 96.6 What is -0.9 times 0.02? -0.018 589.5 times 0 0 1*1559 1559 0.3 * -1.03 -0.309 What is -1.3 times 3? -3.9 Work out 1.4 * -1.6. -2.24 Multiply -0.1 and -4362. 436.2 Work out 10 * 27. 270 2.3*0.13 0.299 -260*-28 7280 5 times -146 -730 Calculate 0.0879*0. 0 Work out 43 * 0.05. 2.15 Work out 4 * -6.7. -26.8 What is 4 times 0.07? 0.28 Work out 23.58 * 0.2. 4.716 Multiply 1 and 11.78. 11.78 What is -235 times 0.1? -23.5 Calculate -0.159*-0.4. 0.0636 12 * 2.4 28.8 Calculate -0.0691*-0.5. 0.03455 8454 * 0 0 -0.4*0.011 -0.0044 Multiply -0.2 and -0.025. 0.005 Calculate -45*-2. 90 What is -5 times 0.3312? -1.656 Multiply -0.031 and -5. 0.155 What is 39 times 4? 156 3.1*6.4 19.84 Multiply -0.179 and 3. -0.537 What is the product of -0.1 and -97? 9.7 What is -0.039 times 0.4? -0.0156 Multiply -231 and 1. -231 Work out 0.316 * -1. -0.316 -516*-0.5 258 Calculate -0.01*2.1. -0.021 Product of 0 and 0.78. 0 Multiply 0.067 and -2. -0.134 What is the product of -15 and 0.064? -0.96 What is the product of 0.0773 and 0? 0 13.01*4 52.04 Multiply 0.3 and 3956. 1186.8 What is the product of 0.2614 and 1? 0.2614 Product of 5 and 8.3. 41.5 What is -0.2 times 0.1? -0.02 Product of 171 and -14. -2394 -0.5 * -3617 1808.5 -0.5*-0.157 0.0785 What is -4 times -0.29? 1.16 Multiply -612 and -4. 2448 -153*0.1 -15.3 Multiply -0.4 and 0.8. -0.32 Product of 4 and 24. 96 Work out -64.24 * -0.4. 25.696 Product of 0.5 and 905. 452.5 What is 0.052 times 3? 0.156 Work out 0.18 * 27. 4.86 0.1 * -13.84 -1.384 Product of -1837 and 5. -9185 Product of -15 and -0.8. 12 -0.05 times 202 -10.1 Multiply 1.1 and 0.18. 0.198 -0.18*0.07 -0.0126 What is 2749 times -10? -27490 0.3 * -0.02 -0.006 Calculate 0.1382*1. 0.1382 What is -1.4 times 42? -58.8 What is the product of 1 and 1.9? 1.9 Product of 0.1 and -114. -11.4 Work out -6 * 0.45. -2.7 -1.3 * 0.046 -0.0598 -120 * 0.084 -10.08 -255*-9 2295 What is the product of -0.1 and -512? 51.2 -0.23*-541 124.43 What is the product of 4 and -3? -12 Multiply 0.1 and 0.66. 0.066 -2.4 * -57 136.8 -0.029 times 0 0 What is -7.013 times 0.1? -0.7013 3*-407.4 -1222.2 -11 times 23 -253 Calculate -19.1*-0.3. 5.73 What is 69 times 0.062? 4.278 5699 * 0.5 2849.5 28*1.2 33.6 -53 * -84 4452 What is -0.138 times 0.4? -0.0552 -0.116 times 3 -0.348 What is 241 times -0.1? -24.1 Work out -22383 * -0.1. 2238.3 Work out 4 * 84. 336 Product of 4.9 and -0.13. -0.637 0.006*1.4 0.0084 681 * 14 9534 Multiply -1.05 and -8. 8.4 Multiply 528 and 0.3. 158.4 Work out 0.4 * -119. -47.6 Product of -16.1 and 1. -16.1 Calculate 5*0.5. 2.5 What is -4 times -39? 156 -0.02 times -2.546 0.05092 -13 times -0.37 4.81 -0.1 times 1.547 -0.1547 0.8 * 3.9 3.12 5 times 0.15 0.75 81 times -1 -81 Multiply 3 and 2498. 7494 Product of 0.3 and 119. 35.7 Multiply 16 and 0.034. 0.544 Calculate -736*-0.5. 368 -254 * -0.3 76.2 217*1.3 282.1 Product of -0.32 and 1.4. -0.448 Product of -9 and 499. -4491 6.5 times 0.7 4.55 Multiply 0.0574 and 1. 0.0574 Product of 126 and -24. -3024 Product of -0.075 and -6. 0.45 Work out 1.453 * -0.3. -0.4359 What is -2433 times -0.5? 1216.5 Work out 0.9 * -0.05. -0.045 -1011 times 0.4 -404.4 -16.4*27 -442.8 -8 * -0.3 2.4 Calculate 1.7*3.5. 5.95 What is the product of -1 and 23? -23 What is 3 times 871? 2613 Work out 0.2 * 1.99. 0.398 0.4 times 0.0503 0.02012 Work out -89 * 0.07. -6.23 Product of 1 and 7351. 7351 Multiply 5 and 0.02. 0.1 What is the product of 0.5 and -2.1? -1.05 Work out 299 * 0.018. 5.382 46 * 0.2 9.2 -7 * 0.027 -0.189 -258 times 0 0 Multiply -5 and 171. -855 Multiply 1.34 and 6. 8.04 What is 506 times 4? 2024 0.01495 * 4 0.0598 -1.4*0.05 -0.07 Work out 0.6 * -0.6. -0.36 0.5 times 2.595 1.2975 What is the product of 0.21 and 10? 2.1 Product of 229 and 8. 1832 43*-56 -2408 Calculate 0.12*4.8. 0.576 What is the product of 2 and -128.7? -257.4 What is -0.415 times 0? 0 Multiply -712 and -0.3. 213.6 Work out 13 * -3.134. -40.742 Calculate -2*75. -150 What is the product of 0.2 and 0.8? 0.16 What is -0.063 times 0.4? -0.0252 3 times -2755 -8265 Calculate 7*5.2. 36.4 1 times -54 -54 What is -20 times -0.36? 7.2 Calculate 120*2. 240 Work out -18 * -6. 108 0.1 times -4079 -407.9 0 times 78.4 0 -317 times -0.09 28.53 Calculate -16.33*-0.2. 3.266 Calculate -7*12. -84 What is -0.001 times -14? 0.014 What is the product of 7796 and 0.5? 3898 What is 10 times 139? 1390 Product of -5978 and -5. 29890 0.5 times 0.4 0.2 Work out 1072 * 0.1. 107.2 Work out 0.6 * 94. 56.4 -40.2*13 -522.6 0.05 * 1.103 0.05515 Calculate -0.1*1.03. -0.103 -0.289*3 -0.867 Multiply -145 and -4. 580 -766 * 0.01 -7.66 -0.2 * 0.088 -0.0176 Product of -0.03 and 65. -1.95 Product of -4 and 1950. -7800 Work out 0.5 * -0.1. -0.05 What is the product of 222 and -0.42? -93.24 What is the product of 164 and 12? 1968 Work out -0.259 * -4. 1.036 Product of -0.1 and -5. 0.5 -0.14 * -1 0.14 Work out 920 * 0.1. 92 Multiply -0.4 and 0.1904. -0.07616 -68 * 0.05 -3.4 What is -0.08 times -0.05? 0.004 What is 0.1 times 2926? 292.6 -26 times 0.18 -4.68 Multiply 0.07 and -14.8. -1.036 0.3 * -28 -8.4 3*292 876 Calculate 0.87*-1.1. -0.957 Product of -2 and -4.23. 8.46 3*-108 -324 What is the product of 77 and -0.2? -15.4 Multiply 175 and 1. 175 What is
{ "pile_set_name": "DM Mathematics" }
149600 What is the lowest common multiple of 414 and 71208? 71208 Calculate the least common multiple of 57522 and 4. 115044 Calculate the common denominator of 21/391 and 23/289. 6647 Find the common denominator of -151/9100 and 109/20020. 100100 What is the common denominator of 211/210 and 13/16674? 83370 What is the common denominator of 113/132 and 79/7128? 7128 What is the common denominator of -157/1170 and -59/15? 1170 Calculate the common denominator of 59/55 and 6/35555. 391105 What is the common denominator of -123/8600 and 49/32? 34400 What is the smallest common multiple of 186 and 1302? 1302 Calculate the common denominator of -27/608 and 83/238488. 953952 Calculate the smallest common multiple of 1458 and 150. 36450 Find the common denominator of 167/16548 and 31/18. 49644 What is the common denominator of -69/2002 and -89/561? 102102 What is the least common multiple of 91712 and 10? 458560 Find the common denominator of 54/207575 and -74/6555. 622725 What is the least common multiple of 19 and 5624? 5624 Calculate the lowest common multiple of 193408 and 14. 1353856 What is the least common multiple of 240 and 19984? 299760 Calculate the smallest common multiple of 6872 and 15462. 61848 Calculate the common denominator of 11/224 and -167/311304. 1245216 Calculate the smallest common multiple of 179481 and 18567. 538443 Calculate the common denominator of 97/225350 and 167/300. 1352100 What is the common denominator of 33/2 and -93/6862? 6862 What is the smallest common multiple of 63144 and 505152? 505152 What is the least common multiple of 8452 and 23243? 92972 Calculate the common denominator of 38/161991 and 107/90. 1619910 Calculate the lowest common multiple of 140328 and 101348. 1824264 What is the smallest common multiple of 234 and 1378? 12402 Calculate the lowest common multiple of 730 and 6. 2190 Calculate the least common multiple of 13250 and 1375350. 6876750 What is the common denominator of 25/5473 and 36/4511? 1899131 Find the common denominator of -39/88162 and 38/51. 264486 What is the common denominator of -38/987 and 35/66? 21714 Find the common denominator of -29/276 and 21/6872. 474168 Calculate the lowest common multiple of 78630 and 288310. 864930 What is the smallest common multiple of 24 and 245912? 737736 What is the lowest common multiple of 1992056 and 6? 5976168 What is the common denominator of 11/87117 and 86/1065? 435585 What is the common denominator of 29/540 and 127/72? 1080 What is the common denominator of -29/13144 and 89/120? 197160 Calculate the common denominator of -40/288673 and -3/19481. 3175403 What is the common denominator of 32/63145 and -31? 63145 What is the common denominator of 13/170838 and 151/18? 170838 Calculate the least common multiple of 934 and 575. 537050 Calculate the least common multiple of 224 and 4004. 32032 What is the common denominator of 53/13158 and 131/102? 13158 What is the lowest common multiple of 33 and 236621? 709863 What is the common denominator of -127/180 and -57/85910? 1546380 Calculate the lowest common multiple of 1196 and 33488. 33488 Calculate the lowest common multiple of 18208 and 11380. 91040 What is the least common multiple of 592 and 44686? 13227056 What is the lowest common multiple of 4752 and 144? 4752 What is the least common multiple of 27 and 29538? 29538 Calculate the least common multiple of 389760 and 181888. 2728320 Calculate the common denominator of -47/90 and -101/5380. 48420 Find the common denominator of -19/37980 and -97/41145. 493740 What is the least common multiple of 18040 and 615? 54120 What is the lowest common multiple of 20028 and 123? 821148 What is the lowest common multiple of 218754 and 194448? 1750032 Calculate the least common multiple of 1163888 and 16. 1163888 What is the lowest common multiple of 388560 and 77712? 388560 What is the common denominator of -79/24 and 137/1761702? 7046808 Calculate the common denominator of -167/338856 and 151/84. 338856 Find the common denominator of -133/9732 and -25/19464. 19464 What is the least common multiple of 7010 and 12618? 63090 Calculate the common denominator of 47/31340 and -43/68948. 344740 What is the common denominator of 68/8349 and 175/110814? 1218954 What is the common denominator of -49/305 and 87/52826? 264130 Find the common denominator of -73/12 and -157/588. 588 Calculate the lowest common multiple of 96460 and 10. 96460 What is the smallest common multiple of 1303492 and 14? 9124444 Calculate the smallest common multiple of 13886 and 76373. 152746 Calculate the lowest common multiple of 30 and 2017494. 10087470 Calculate the common denominator of 83/7794 and -121/41568. 124704 What is the common denominator of -137/18 and 1/4152? 12456 Find the common denominator of 55/6128 and 49/8. 6128 Calculate the common denominator of -95/4 and -65/105688. 105688 Find the common denominator of -121/240 and 67/8. 240 Find the common denominator of 57/2 and -155/12474. 12474 Find the common denominator of -40/791 and 87/3920. 442960 What is the common denominator of -34 and -21/67016? 67016 What is the common denominator of -58/117 and 62/81783? 81783 What is the smallest common multiple of 48 and 1241200? 3723600 Calculate the smallest common multiple of 365 and 2810. 205130 Calculate the least common multiple of 4800 and 18240. 91200 Calculate the least common multiple of 12 and 357048. 357048 What is the least common multiple of 26650 and 3575? 293150 What is the common denominator of -5/176 and -119/11000? 22000 Find the common denominator of 79/225 and 81/27200. 244800 Calculate the least common multiple of 3000 and 25500. 51000 Calculate the common denominator of 19/268 and 77/32. 2144 What is the common denominator of 101/53086 and 22/16891? 371602 Calculate the common denominator of -101/1216 and 73/912. 3648 Calculate the common denominator of 13/1330570 and 61/752. 10644560 What is the least common multiple of 32 and 619224? 2476896 What is the common denominator of -85/48 and -47/141728? 425184 Calculate the common denominator of 101/536888 and 123/244040. 2684440 What is the least common multiple of 87060 and 9? 261180 What is the least common multiple of 41514 and 110? 207570 What is the common denominator of -87/23716 and 103/3234? 71148 What is the lowest common multiple of 2947 and 266? 111986 What is the common denominator of -89/436114 and -37/623020? 4361140 Calculate the least common multiple of 1388497 and 1388497. 1388497 What is the smallest common multiple of 5805 and 15? 5805 What is the least common multiple of 115566 and 935? 577830 Calculate the lowest common multiple of 89712 and 128. 717696 What is the common denominator of -71/29464 and 107/7112? 206248 Find the common denominator of -41/26767 and 2/91. 187369 Find the common denominator of -8/163881 and 88/63. 1147167 What is the least common multiple of 4275 and 3960? 376200 Calculate the common denominator of -19/6090 and -101/280. 24360 Calculate the common denominator of -85/798 and -145/2016. 38304 What is the common denominator of -7/121470 and -139/54? 1093230 Find the common denominator of 80/12027 and -1/9495. 180405 Find the common denominator of 37/1404 and 17/414. 32292 Find the common denominator of 34/231327 and 53/39. 3007251 What is the lowest common multiple of 305 and 3599? 17995 Calculate the lowest common multiple of 448415 and 163060. 1793660 What is the lowest common multiple of 5595 and 125? 139875 Calculate the common denominator of 55/376 and 25/22654. 90616 Calculate the common denominator of 95/322 and -179/462. 10626 Calculate the common denominator of -33/18280 and 7/87744. 438720 Calculate the common denominator of -53/4 and 19/31798. 63596 Calculate the common denominator of -67/16 and -19/4234. 33872 What is the common denominator of -1/17493 and 51/98? 34986 Calculate the least common multiple of 53189 and 212756. 212756 Calculate the lowest common multiple of 4817950 and 20. 9635900 Find the common denominator of 37/3038 and 25/196. 6076 Find the common denominator of -16/14735 and 99/21050. 147350 What is the lowest common multiple of 76329 and 50886? 152658 Calculate the common denominator of 45/55814 and 47/1725160. 18976760 Find the com
{ "pile_set_name": "DM Mathematics" }
form b*z + u*z**2 + v and give v. -1 Rearrange 87 - 10*k - 87 to the form f*k + t and give f. -10 Rearrange 9*a**2 - 3*a + 2*a + a to r + v*a**2 + o*a and give v. 9 Rearrange (354 + 2*q - 704 + 361 - q**3 - 2*q**2)*(2*q - 5*q + 2*q) to s + v*q + r*q**3 + i*q**4 + b*q**2 and give i. 1 Rearrange 0*o**3 - o - o**3 + 6 - 2 + 0 to d*o + a*o**2 + m*o**3 + k and give k. 4 Express -14*q - 6*q**2 + 6 + 11 - 17 as y*q**2 + o*q + i and give y. -6 Express -7*g**2 + 5*g**2 + 0*g**2 - 2 as l + u*g + f*g**2 and give l. -2 Rearrange -78*y**2 + 2*y + 25*y**2 + 46*y**2 + 33*y**2 to the form m*y**2 + f + o*y and give f. 0 Express (-3 + q**2 + 3)*(-9 + 30 + 13)*(2*q - 2*q + 2*q) as k*q**2 + s*q**3 + n + l*q and give s. 68 Express 8*p - p + 4*p as w*p + z and give w. 11 Rearrange (-c - c + 3*c)*(-1 - 2 + 4)*(0*c + 7*c + 2*c) - 3 + 3 - 2*c**2 + (2*c - c - 5*c)*(c - 4*c + c) to a*c + j*c**2 + z and give j. 15 Express (-21*u**2 + 15*u**2 - 7*u**2)*(2 + u - 4 - 1) in the form q + x*u**3 + z*u + v*u**2 and give v. 39 Express ((-h - h - h)*(1 + 3 - 2) - 13 + 65*h + 13)*(3*h - 5*h + h) as f*h**2 + c*h + k and give f. -59 Express (-2 - c + 2)*(c**2 + 0*c**2 - 3*c**2) + 5*c**3 - 4*c**3 + 0*c**3 + 4*c**3 + 2*c**3 + 2*c**3 in the form z + n*c**2 + a*c**3 + s*c and give a. 11 Rearrange -20*a**2 + 2*a + 0*a - 2*a to j*a + r*a**2 + l and give r. -20 Express v**2 + 4*v**2 - 6*v**2 + (-v + 2 - 2)*(-9*v - 2*v + 0*v) as h*v**2 + z*v + g and give h. 10 Rearrange (0 + 4 - 6)*(-3 + 2 + 2)*(0 - 3 + 1)*(2 + 0 - 3)*(-14*w**2 + 4*w**2 + 2*w**2) to the form n*w + f*w**2 + z and give f. 32 Rearrange -23*w + 87 + 7*w - 87 to the form q + l*w and give l. -16 Express -2*g**3 + 22*g - 82*g**2 + 1 + 43*g**2 + 39*g**2 in the form x + h*g**3 + s*g + q*g**2 and give s. 22 Rearrange -7*u**2 - 1 - 2 + 3*u**2 + u**2 to h*u**2 + w + a*u and give w. -3 Express (y**2 + 5*y**2 - 4*y**2)*(-3 + 3 - 2*y) + (0 + 0 - 2*y)*(3*y - 3*y - 3*y**2) - y**3 - 4*y**2 + 4*y**2 as b*y**3 + c + m*y + o*y**2 and give b. 1 Rearrange (4*w - 6*w + 3*w)*(-2 + 1 - 4*w**2 + 16*w**2) to the form m*w**3 + y + v*w + g*w**2 and give m. 12 Express (1 - z - 1)*(1 + 4 - 4) - 17 + 17 - 13*z + z + 1 - 1 + (-z + 3*z - 4*z)*(2 + 1 - 2) in the form r + q*z and give q. -15 Express 3*y + y**3 - y + 97 + 2*y**2 - 99 in the form a*y + r*y**3 + c + u*y**2 and give a. 2 Rearrange y**3 - 3*y - 2 - 5*y**2 + 2*y**2 - 5*y**2 + 7*y**2 to the form a*y + f*y**3 + m + u*y**2 and give m. -2 Express (-28*g**2 - 18*g**2 + 40*g**2)*(0*g - 9*g + g) in the form x*g**3 + h + t*g + d*g**2 and give x. 48 Rearrange 2 + 0 + 5*b**3 + 3*b - b**2 + 2*b**3 to the form t*b + r*b**2 + l*b**3 + o and give r. -1 Express (-132 + 132 - 28*s)*(0 + 3 + 2 + (0 + 2 - 4)*(2 - 1 - 3)) as z + k*s and give k. -252 Express 1 + 1 - 5*s - 2 as x + l*s and give l. -5 Express 25*b + 15*b - 6*b + 0*b in the form t*b + n and give t. 34 Rearrange -4*m**3 - 2*m**2 + m**2 + 5*m**3 to the form f*m**3 + u*m**2 + i*m + x and give f. 1 Rearrange (884*b - 35*b**2 - 884*b)*(4*b - b - 5*b) to g*b + c*b**3 + q*b**2 + s and give q. 0 Express (4 - 6 - 1 + 0 + 1 - 2 + (5 + 1 - 3)*(-2 + 4 - 3) + 2 - 2 + 2)*(4*v - 3*v - 3*v) as i + g*v and give i. 0 Rearrange 2*i**4 + 5*i - 6*i - 5*i**2 + 1 + 3*i**2 + 0*i**4 to the form p*i**2 + m*i + q*i**3 + n + y*i**4 and give y. 2 Express -i**2 + 3*i**2 + 11*i**2 as t*i + r*i**2 + g and give t. 0 Express 3846 - 146*p - 3846 in the form b + a*p and give a. -146 Express (3*t + 2 - 2)*(5*t - 3*t - 4*t) as n*t + k + w*t**2 and give w. -6 Express (0*f**3 - 5*f**3 + 3*f**3 + 2)*(6 + 15 - 11) as k*f**3 + d*f**2 + t + p*f and give t. 20 Rearrange 3*a**2 + 8*a + 1 - 2*a**4 + a**4 - a + 1 to the form x*a**3 + r*a**4 + l*a**2 + v*a + u and give u. 2 Rearrange -16*a**2 + 2*a**2 - 9*a**2 to the form y*a + j*a**2 + p and give j. -23 Express -2*f**2 - 10 + 4*f**2 - 7*f**2 in the form w*f + l*f**2 + i and give i. -10 Express (65 - 51 + 29)*(3*y**2 + 0*y**2 - y**2) as h*y + w + l*y**2 and give l. 86 Rearrange 5*v**2 - 3*v**3 + v**4 + 0*v**3 + 4*v**3 to m + w*v**3 + g*v + p*v**2 + u*v**4 and give w. 1 Rearrange -16 - 16*z - 37*z + 18 to the form a + l*z and give l. -53 Express -23*v + v**4 + 139*v**2 - 139*v**2 + 2*v**3 + 1 in the form u*v**2 + w*v**4 + j*v**3 + r*v + o and give w. 1 Rearrange 2*q - 2*q**3 - 2*q + (2 - 2 + 1)*(-2*q**3 + 2*q - 2*q) + (-7*q + 8*q + 6*q)*(q**2 + 0 + 0) to c*q**2 + r*q**3 + b + a*q and give r. 3 Rearrange (1 - 1 + 1 - 2*q)*((-2*q + q + 3*q)*(-2*q - 3*q - q) + 0*q**2 + 5*q**2 + 3*q**2) to the form c*q**3 + i + o*q + u*q**2 and give c. 8 Express 16*c**2 - 30*c**2 + 8*c**3 + 14*c**2 + c in the form n*c**3 + v*c**2 + w*c + q and give n. 8 Rearrange -3 + 2*m + 2*m**2 + m**3 + 5 - 2*m**3 - 3*m**2 to the form p*m**2 + y*m**3 + f*m + u and give p. -1 Rearrange (37 - 37 - 45*g)*(-g + g - g) to o*g**2 + q + x*g and give q. 0 Rearrange -9*q**2 - 280*q + 41*q**2 + 280*q to the form v*q + b + z*q**2 and give z. 32 Rearrange -17*s - 8*s + 7*s to x + a*s and give a. -18 Rearrange (0 - 1 + 5)*(-2*w + 5*w - w)*(2 - 3 - 1) - 3*w + 4*w + 4*w to i*w + s and give i. -11 Express (-5 + 2 + 0)*(g**3 - 2*g**4 + 2*g**3 + 3*g**4) in the form x*g + p + o*g**3 + a*g**2 + t*g**4 and give p. 0 Express 2*v - 4*v + 5*v - 4*v as x*v + z and give x. -1 Express (0 - 1 + 3)*(3 - 2 + 2)*(-2*s - 2*s + 6*s)*(s**2 + 0*s + 0*s) in the form n*s**2 + q*s**3 + h*s + o and give q. 12 Express -12*m + 1 + 5*m + m**3 + 3*m**4 + 6*m + 2 in the form d*m + b*m**3 + o + t*m**2 + p*m**4 and give o. 3 Rearrange -3*l**4 - l**2 + 0 - 116*l**3 - 3 + l + 118*l**3 to h*l**2 + r*l + j*l**3 + m + s*l**4 and give h. -1 Rearrange 2*a**3 - 2*a**3 - 27*a**3 - 2 to g + s*a + k*a**2 + r*a**3 and give r. -27 Express 19*r**2 - 27*r**2 - 20*r**2 in the form g*r**2 + u + m*r and give g. -28 Rearrange s**3 + 20*s**2 + s**3 - 4*s**2 - s**3 + 4*s - 4*s + (s - 2*s + 3*s)*(0*s + 0*s - s**2) to j*s + b + g*s**3 + d*s**2 and give d. 16 Rearrange (5 - 5*z - 5)*(-z + 3*z - 4*z) + (2*z + 1 - 1)*(3 - z - 3)*(-2 - 6 + 5) + 0*z + 0*z - z**2 to o*z**2 + v*z + m and give m. 0 Express -3 + 3*g**2 + 9098*g - 9098*g as j*g + x + q*g**2 and give q. 3 Rearrange 9*g**4 - 1 - 13*g**4 + g + 3*g**4 to the form k*g**4 + p*g + f*g**2 + o*g**3 + j and give j. -1 Rearrange -659 + 659 - 33*t to the form d*t + x and give d. -33 Rearrange (-24*w - 23*w + 45*w)*(w**2 + w**3 - w**2) to g*w + j*w**2 + c*w**4 + f + t*w**3 and give c. -2 Express -o**2 - 2 + 5*o**3 - o**2 - o**3 - 2*o**4 + 4*o**3 + 3*o as t*o**4 + x*o**3 + n*o + w + h*o**2 and give w. -2 Rearrange -9*w**3 + 3*w**2 - 18*w**2 + 10*w**3 to the form c*w**2 + v*w + f + z*w**3 and give z. 1 Express -14*l**3 + 14*l**3 - 5*l**4 + (0*l**3 + 4*l**3 - l**3)*(3*l - 3*l + 3*l) as k + f*l**2 + p*l**3 + t*l + u*l**4 and give u. 4 Rearrange -1 + 0 + 2*v**3 + 129*v + 2*v**2 - 117*v to w*v + q + o*v**3 + y*v**2 and give o. 2 Rearrange -6*y - 5*y + 0*y to x + w*y and give w. -11 Rearrange (-4 + g + 4 + (-3*g + g + 4*g)*(0 - 3 + 0) - 2*g - g + 5*g)*(-1 + 1 - 2*g) to d*g**2 + w*g + m and give d. 6 Rearrange (-2 + 2 + 1)*(-14*i - 3 + 6 - 1) - i + 3*i + 0*i + (-4 + 0 + 2)*(i + 0*i - 3*i) + i + i - 4*i to p*i + v and give p. -10 Express (-6*w - 114*w + 248*w)*(4 + 0 - 2) + 3 - 3 - w as p + k*w and give k. 255 Express 2 - 8 + 0*x + 10*x - 4*x**3 - 9*x as w*x**2 + d + h*x + c*x**3 and give c. -4 Express 3*k**2 - 4*k**2 + k - 3*k**2 in the form o*k**2 + s*k + j and give s. 1 Express (c + 2*c + c)*(-4*c + 2*c + 0*c) + c**2 + c**2 + 3*c**2 as a*c**2 + j*c + d and give a. -3 Rearrange (-4 + 1 + 5 + (2 + 2 - 2)*(-2 + 1 + 2) + 7 - 12 + 0)*(0*k - k + 2*k)*(-5 + 2*k**2 + 5) to the form u*k**2 + d*k + a*k**3 + l and give a. -2 Express (-3 + 1 - 2*l + 0*l)*(-7*l**3 + 0*l**3 + 5*l**3) as j + b*l + s*l**3 + t*l**2 + r*l**4 and give r. 4 Express (a + 0*a + a)*(5 + 4*a - 5)*(a - 75 + 38 + 35) as f*a**3 + j + u*a**2 + s*a and give f. 8 Express (0 - 2 + 3 + 2*b)*(3*b**3 + 9*b**3 + 2*b**3) in the form d + t*b**2 + z*b + n*b**3 + x*b**4 and give d. 0 Rearrange -c**2 - c**2 + 11*c**3 - 10*c**3 to u*c + l + t*c**3 + g*c**2 and give t. 1 Rearrange (-5 - 672*s + 4 + 757*s)*(-3 + 2 + 0) to the form w*s + v and give v. 1 Express 7 + 11*g - 5*g - 11*g in the form o + t*g and give o. 7 Rearrange 6 + 6*l - 17 + 12 to i + q*l and give i. 1 Rear
{ "pile_set_name": "DM Mathematics" }
t**2 + t. Determine q(l). 6 Let a be (-1 + (-1)/(-2))*-6 - -2. Let o(g) = -g**2 + g - 1. Let w(k) = 5*k**2 - 10*k + 7. Let m(n) = -4*o(n) - w(n). Give m(a). 2 Let j be (-1 - 5)*-1 - (-8 + 12). Let s(n) = -n**3 - 3*n**2 - n - 1. Let h be s(-3). Let a(x) = -2*x**h + 2*x - 3*x + 3*x**j - 3*x**2. Calculate a(-1). -1 Let w(f) = -f - 14 - 14 - 18 + 47 + 4*f**2 + 6*f**2. Let d be ((-7)/(-3) + -2)*9. Let m = -2 + d. What is w(m)? 10 Let u(x) = x + 2. Let m(h) = -2*h - 3. Let w(c) = -3*m(c) - 7*u(c). Suppose 1026 = -114*z - 0. What is w(z)? 4 Let t(i) be the third derivative of 11/24*i**4 - 1/120*i**5 - 3*i**2 + 1/3*i**3 + 0*i + 0. Let f(d) be the first derivative of t(d). Give f(5). 6 Let n(u) = u**3 + 12*u**2 - 14*u + 11. Suppose 4*c + 138 = 86. Give n(c). 24 Let m(o) = -o**3 + 11*o**2 - 13*o + 23. Let n be (-12)/2*(16/12 - 3). Calculate m(n). -7 Let p = -14 + 16. Suppose -3*f + 2*w + 15 = 0, 5*f + 3*w = -p*w. Let a(z) = 1 + 7*z**2 + 8*z + 0*z**f - 2*z**3 + z**3. Calculate a(8). 1 Suppose 5*b - 29 = -w, 4*w = 5*b - 7*b + 8. Let a(u) = -u + 5. Give a(b). -1 Let s = 126 + -117. Let w(m) = -93*m - m**3 + 31*m + 30*m + 42*m - 5 + s*m**2. Calculate w(10). -5 Let f = -9 + 12. Suppose -f*z - z = 2*h + 10, 5*h + 5*z = -5. Suppose 5*a - 5 = -0*a + 4*n, -h*a + 5 = -2*n. Let k(q) = q**2 - 3*q - 5. Determine k(a). 5 Let x(f) be the second derivative of 5*f**3/6 + 82*f - 2. Give x(-5). -25 Let v(i) = i - 3. Let k(o) be the first derivative of 2*o**2 - 17*o + 21. Let j be k(6). Determine v(j). 4 Let d(n) be the third derivative of 0*n + 5/24*n**4 + 1/6*n**3 + 0 + 29*n**2. Calculate d(-1). -4 Let j(b) = b**2 + 10*b - 7. Let t = 145 + -50. Let q = t - 106. Determine j(q). 4 Let g(t) = 1 + 3087*t**2 - 8*t**3 - 3087*t**2. What is g(1)? -7 Suppose -2*z - 29 = -41. Let j be z/(-45) + (-214)/(-30). Let p(k) be the third derivative of k**5/60 - 7*k**4/24 + k**3 - k**2. Give p(j). 6 Let v be (-2 - (2 - 2)) + 240/12 + -19. Let z(n) = -12*n**2 + n + 1. Let i(b) = -13*b**2 + b + 1. Let y(m) = -6*i(m) + 5*z(m). Calculate y(v). 18 Suppose -4*p = -20, 6*p - 3*p = 5*f + 105. Let a(c) = c**2 + 19*c + 20. Let k be a(f). Let g(i) = -2*i**3 + i**2 + 2*i. Give g(k). -8 Let s(f) = 4*f**3 - 2*f**2 + f - 4. Let h(y) = y**3 - y**2 - 1. Let d(b) = 5*h(b) - s(b). Let i be ((-6)/4)/((-3)/2 - -1). What is d(i)? -4 Let k(q) = 25*q + 3. Let b(d) = 29*d + 4. Let w(z) = -4*b(z) + 5*k(z). What is w(-1)? -10 Let x(q) = -15 + 3*q**2 - 4*q - 4*q**2 + 17*q. Let g be x(12). Let o(a) = -a**2 + 7*a**2 + 4 + a**3 + a - 2*a**2 - 1. Calculate o(g). 9 Let x(l) = 6*l - 1. Suppose -2*y + 6 = -64. Let a = y - 36. What is x(a)? -7 Let a(x) = 16*x**2 - 10*x + 8. Let o(f) = -8*f**2 + 6*f - 5. Let g(v) = 3*a(v) + 5*o(v). Give g(1). 7 Let f(w) be the first derivative of -1/3*w**3 + 15 - 3*w**2 + 6*w. Determine f(-7). -1 Let y(h) be the first derivative of 2*h**2 - 4*h + 62. Give y(-4). -20 Let u(r) = 1627 + r**2 + 5*r - 1627. What is u(-6)? 6 Let b = 1092 + -1087. Let s(w) = w**3 - 5*w**2 - 5*w - 6. Give s(b). -31 Suppose -18 = 2*q + 4*h, -2*h = -h + 3. Let y(l) = 2*l**3 + 2*l**2 - 3*l - 3. What is y(q)? -30 Suppose 0 = -k + 2*k + 3. Let u(v) = -v**2 - 4*v + 2. Let j be u(k). Let i be 45/(-18)*6/j. Let y(x) = -4*x. Give y(i). 12 Let w = 9 - 4. Let s(j) = -4*j**3 - 8*j**2 + 8*j - 1. Let y(o) = -o**3 - 4*o**2 + o + 1. Let v(t) = s(t) - 3*y(t). Calculate v(w). -4 Suppose 5 = -f - 1. Let v(u) = -9*u**2. Let z(q) = 11*q**2 - q + 1. Let i(b) = -5*v(b) - 4*z(b). Determine i(f). 8 Let t = 27 - 23. Let o(u) = -3*u - 6*u + t*u - 2 - u**2 + 0*u**2. Determine o(-5). -2 Suppose 2*l = l + 3. Suppose 4 = -l*s + 1. Let a(t) = -4*t. Let b be a(s). Let o(d) = -4*d + 4. What is o(b)? -12 Let s(v) = 0*v**2 - 10 + 803*v**3 - v**2 - 1 - 804*v**3. Let t = 14 + -10. Suppose 4*j = 12, t*z - j = 1 - 4. Calculate s(z). -11 Let q(r) be the first derivative of r**2 + 10*r - 165. What is q(-5)? 0 Let b(f) = -3*f + 4. Suppose -128 = 20*h - 8. Calculate b(h). 22 Let s(c) be the first derivative of -c**3/3 + 5*c**2/2 + 2*c + 211. Determine s(4). 6 Let i be (-15)/120 + (-3777)/(-8). Let c(w) = -i*w + 475*w + 0*w**2 - 3 - 2*w**2. Determine c(2). -5 Let j(g) = 3*g + 12*g + 1 - 8*g. Calculate j(-1). -6 Let n = 210 + -203. Let q(i) = -i**3 + 6*i**2 + 7*i. What is q(n)? 0 Let y(f) = f**2 + 2*f - 1. Let b(g) = g**2 - 3*g - 4. Suppose 4*r = 3*r + 3. Let k be b(r). Calculate y(k). 7 Let i(a) = -4*a - 3. Let j(p) = -p. Let m(z) = -i(z) + 3*j(z). Suppose -3*b + 13 + 2 = 0. Let g be b/(-5) - (-2 - -5). Determine m(g). -1 Let h(j) = j**3 + 19*j**2 + 13*j - 5. Let r(t) = t**2 + 2. Let x(s) = -h(s) + 4*r(s). Determine x(-14). -1 Let t(c) be the third derivative of -c**5/60 - c**4/3 + 3*c**3/2 - 2*c**2 - 105. What is t(-8)? 9 Suppose -10*v + 17*v + 35 = 0. Let t(l) = l**3 - 4*l**2. Let w(o) = -2*o**3 + 9*o**2 + 2. Let i(f) = v*t(f) - 3*w(f). Determine i(7). -6 Let b(s) = s**2 + s + 4. Let c be ((-2)/(-4))/(1/(-26)*1). Let a = c + 13. What is b(a)? 4 Let z(k) = -k**3 + 2*k**3 + 2*k + 0 - 6*k**2 + 4. Suppose 12*n - 2405 + 917 = 0. Let b = n + -119. Give z(b). -11 Let n be (-1)/2 + (-1)/(-2). Let x(y) = -y + 800*y**2 - 4 - 1 - 799*y**2 - 8. Give x(n). -13 Let z(i) be the first derivative of -i**4/4 + 2*i**3 - 5*i**2/2 + 5*i + 2. Suppose 0 = 3*u + 3*b - 12, -7*b + 2*b + 5 = 2*u. What is z(u)? 5 Let m(o) = -o**3 - 7*o**2 - 6*o - 4. Let d be (-94 - -2)*4/(-8). Suppose 7*g = -d + 4. Give m(g). -4 Let m(q) be the first derivative of -1/3*q**3 + 6*q + 49 - q**2. Calculate m(-4). -2 Let a(g) be the third derivative of g**4/24 + 11*g**3/6 - 16*g**2. Let s(d) = 3*d - 27. Let i be s(7). What is a(i)? 5 Let g(j) be the second derivative of j**4/6 - 2*j**3/3 + j. Suppose 0*v - 38 = -5*n - 2*v, n = -5*v + 26. Let k be (-1)/(2 - 14/n). What is g(k)? 6 Let a(s) = 9*s - 3. Let z(n) = -4*n + 1. Let u(f) = 3*a(f) + 7*z(f). Let k(w) = 10*w**2 + 34*w + 7. Let t be k(-3). Give u(t). 3 Let m(j) = -4*j**2 + j - 1 - j**3 - 6*j**2 + 4*j**2. Let r(l) = -2*l**3 + 9*l**2 - 9*l + 14. Let q be r(4). What is m(q)? -7 Suppose -10 = -4*s - 3*z, s - 8*z - 8 = -6*z. Let g(b) = b**3 - 3*b**2 - 3*b + 5. Determine g(s). 9 Let b(k) be the second derivative of 1/6*k**3 - 1/6*k**4 - 2*k + 0 - 1/2*k**2. Let y = 133 + -130. Calculate b(y). -16 Suppose 4*h + 3*c + 20 = 0, 9 = 2*h + 4*c + 19. Let r(j) = 4*j + 7. Determine r(h). -13 Let g(a) = -a - 18. Let c be 3/(-5) + 141/(-15). Calculate g(c). -8 Let c(q) = 8*q**2 - 4*q + 1. Let z(m) = -m. Let o(i) = -c(i) + 3*z(i). What is o(1)? -8 Let m(a) = -3*a - 6. Let j be (-88)/((-16)/4) + -1. Let f = j + -21. Suppose f*l + 3*l + 15 = 0. Determine m(l). 9 Let b(i) be the third derivative of -i**8/6720 + i**7/420 - i**6/720 + i**5/15 + 15*i**4/8 - 45*i**2. Let m(j) be the second derivative of b(j). Give m(6). 2 Let t = 2 + -6. Let p = t - -3. Let w(h) = 2*h**2 - 3*h. Let d(x) = -x. Let r(a) = p*w(a) + 2*d(a). Determine r(-2). -10 Let w be 3*((-126)/(-2) + 0). Suppose -w*g + 191*g - 14 = 0. Let v(h) = h**2 - 8*h + 8. Give v(g). 1 Suppose 7*r + 14*r = -84. Let j(v) be the first derivative of v**3/3 + 5*v**2/2 + 2*v + 3. Determine j(r). -2 Let a(y) = -y**3 + 7*y**2 - 7*y + 1. Suppose 3*r - 5*r = 46. Let m = r - -29. Give a(m). -5 Suppose 0*y - 4*j = -5*y - 12, -j - 6 = y. Let a(p) = -3*p - 6. Calculate a(y). 6 Let m(a) be the third derivative of 0 + 8*a**2 + 7/24*a**4 - 1/60*a**5 - 4/3*a**3 + 0*a. Give m(7). -8 Let y(p) = p**2 + 4*p + 2. Let x be y(-4). Let j(m) be the first derivative of m**4/4 - m**3 + m**2/2 + 2*m + 51. Give j(x). 0 Suppose 0 = 9*r + 3*r - 72. Let p(q) = -q**3 + 7*q**2 - 5*q - 10. Give p(r). -4 Let z(c) = -18 - 2*c + c**2 - 3*c**2 + 13. Let k(w) = -2*w**2 - w - 1. Let v(s) = 4*k(s) - z(s). What is v(1)? -7 Suppose 5*z - z + 2 = -5*c, -1 = z + c. Let x be (-4)/(-10) - 46/(-10). Let p(v) = -v - 3*v + 3*v - x. Determine p(z). -2 Suppose 7*t = 2*t - 5. Let j(r) = -r - 4. Let u(s) = s + 4. Let a(k) = -5*j(k) - 6*u(k). Let f(q) = 2*q + 3. Let i(b) = -3*a(b) - 4*f(b). Determine i(t). 5 Let q(k) = k + 7. Suppose 2*n - x - 1 = 3*n, 0 = -x + 4. Let p be 2/4*0/(4 + n). Give q(p). 7 Let f(r) = -r**3 - 3*r**2 + 3*r - 2. Let x be f(-4). Let d(v) = -x*v - 25 + 26 + v. Determine d(-4). 5 Let n(a) = -5*a**2 + 2*a - 8. Let f(c) = -4*c**2 + 3*c - 2. Let l(o) = -5*o**
{ "pile_set_name": "DM Mathematics" }
t w(h) = -h + 19. Calculate the remainder when w(l) is divided by 7. 5 Suppose -4*a + 3*z - 9 = 0, 0 = -8*a + 3*a + 5*z - 10. What is the remainder when a/(6 - 3)*-79 is divided by 20? 19 Let q be -2*-2*(-3 - -1). Calculate the remainder when 65 is divided by 222/10 + q/40. 21 Suppose 153 = 5*u - 272. What is the remainder when u is divided by 44? 41 What is the remainder when 132 is divided by -3 - 9*(-3 + 1)*1? 12 Let k = 119 + -83. Calculate the remainder when k is divided by 13. 10 What is the remainder when 18 is divided by 0/1 - -3 - -7? 8 Let u(h) = -h**2 - 14*h - 13. Calculate the remainder when 2 - (12/(-9))/((-8)/(-228)) is divided by u(-12). 7 Let h be 5*(2 + -2 - -2). Suppose 0 = -4*y + y + 3, 2*a - 17 = y. What is the remainder when a is divided by (h/8)/((-3)/(-12))? 4 Let a = -23 - -82. Calculate the remainder when a is divided by 20. 19 Suppose r = 5*a + 105, 0 = 5*r - a + 4*a - 385. Calculate the remainder when r is divided by 6. 2 Let k(y) = y**3 + 8*y**2 + 6*y + 11. Suppose -40 = -4*o - z, 0*o + 50 = 5*o - 4*z. What is the remainder when k(-7) is divided by o? 8 Let z be (1/1)/((-3)/(-12)). Suppose 55 = n + z*n. What is the remainder when n is divided by 3? 2 Suppose -5*j - 2*u + 165 = 3*u, -68 = -2*j - 3*u. Let w = -11 + 22. What is the remainder when j is divided by w? 9 Let h(u) = 4*u + 19. Calculate the remainder when h(14) is divided by 27. 21 Let n(l) = l**3 + 2*l - 1. Let t be n(1). Suppose a + 5*v - 42 = 0, 2*a - 3*v = -t*v + 73. What is the remainder when a is divided by 13? 11 Suppose -2*m + 3 - 49 = -2*d, -m = 2*d - 46. Calculate the remainder when 91 is divided by d. 22 Suppose -3*a = -0*a + 6. What is the remainder when (-155)/(-15) - a/(-6) is divided by 4? 2 Suppose s - 62 + 2 = 0. Calculate the remainder when s is divided by 16. 12 Calculate the remainder when 1848/54 - (-4)/(-18) is divided by 7. 6 Let g(y) = -10*y**3 - 2*y**2 - y. Let c be g(-1). Suppose -5*s + c = -11. Calculate the remainder when 15 is divided by s. 3 Calculate the remainder when (4/18*-3)/((-5)/255) is divided by 9. 7 Suppose u + s - 4 = 2*u, 5*s = -2*u - 15. Let o = 17 + u. What is the remainder when o is divided by 5? 2 Let a(h) = 4*h + 4. Let n be -1*4*(-4 + 3). Let q be a(n). Suppose 0*p - 4*p = -q. Calculate the remainder when 8 is divided by p. 3 Suppose 33 = 4*n - 5*r, 3*r + 0 = -4*n - 7. Let v(l) = 10*l**2 - 7*l + 5 + l - n*l**2 - l - l**3. What is the remainder when v(6) is divided by 12? 11 Suppose 5*d + 0 - 10 = 0. Let z = d - 2. Suppose -s + z + 6 = 0. Calculate the remainder when s is divided by 4. 2 Let d be (-4*1 - 0)/(-1). What is the remainder when 0 + 3 - (d - 50) is divided by 13? 10 Suppose -6 + 0 = -3*s. Suppose 0 = 3*b - 4*k - 374, s*b + k - 184 = 47. Calculate the remainder when b is divided by 30. 28 Let p = 0 - 0. Let z = -16 + 40. Suppose p = -2*g - 10 + z. Calculate the remainder when g is divided by 3. 1 Suppose 4*w - 11 = 2*z + 5, -4*z = 4*w - 28. Suppose -2*l = z*l - 40. Calculate the remainder when 29 is divided by l. 9 Let g = 30 - 13. What is the remainder when g is divided by 9? 8 Let p(w) = w**3 - w**2 - 2*w. Let m = 85 + -80. Calculate the remainder when p(3) is divided by m. 2 Suppose -7*j + 6 = -4*j. Suppose 3*u - 13 = j. What is the remainder when 14 is divided by u? 4 Suppose 21 = -2*c - c. Let t = 8 + c. Calculate the remainder when 2 is divided by t. 0 Let r(y) be the second derivative of 2*y**4/3 + 5*y**3/6 + 3*y**2/2 + y. What is the remainder when r(-3) is divided by 21? 18 Suppose 5*h - 13 - 12 = 0. What is the remainder when 11 is divided by h? 1 Suppose 111 = 5*b - 29. What is the remainder when b is divided by 10? 8 Let w(y) = y**3 - 5*y**2 + 2*y - 1. Let b be w(4). Let t = 3 - b. Calculate the remainder when t is divided by 5. 2 What is the remainder when (4/2)/(2/14) is divided by 4? 2 Let z(y) = 2*y - 24. What is the remainder when 57 is divided by z(17)? 7 Let u = 38 - 26. Let x(n) = -3*n**2 - 9*n - 9. Let a be x(-6). Let c = a + 98. Calculate the remainder when c is divided by u. 11 Let z = 0 + 1. Let j = 21 - z. Suppose -x - x + 22 = 0. What is the remainder when j is divided by x? 9 Suppose -6*h + 11*h - 565 = 0. Let j(u) = 11*u - 4. Calculate the remainder when h is divided by j(3). 26 Let k = 8 + 17. Suppose 10 + 40 = 2*l + 3*r, r = -l + k. What is the remainder when l is divided by 13? 12 What is the remainder when 97 - -15 - (0 + 1) is divided by 16? 15 Suppose 44 + 144 = 4*n. Let p = n + -19. Let h = p + 1. Calculate the remainder when h is divided by 10. 9 Suppose -8*k + 11*k = 48. Calculate the remainder when 78 is divided by k. 14 Let q = -6 + 61. What is the remainder when q is divided by 28? 27 Let w(v) = -v**3 - 4*v**2 - 4*v. Let m be w(-3). Let n be 3 + (m - 4)*3. Suppose -2*h - h + 36 = n. What is the remainder when 23 is divided by h? 11 Suppose 0 = -3*c + 8 + 34. Let p(o) = 9*o + 47. Let s(r) = -4*r - 24. Let g(y) = -3*p(y) - 7*s(y). What is the remainder when g(0) is divided by c? 13 Suppose f + 10 = j, -j + 4*f + 28 = 2*j. Suppose 5*c + 2 = 27. Calculate the remainder when j is divided by c. 2 Suppose 125 + 2 = 4*u + 3*a, 0 = -2*u + 5*a + 57. Let c = -13 + u. What is the remainder when c is divided by 5? 3 Suppose 0 = -m + 5*m + 4*g - 44, 0 = -2*g. Calculate the remainder when m is divided by 4. 3 Let r = 17 - 10. Suppose -2 = -5*d - r. Let q(j) = 10*j**2 - j. What is the remainder when 20 is divided by q(d)? 9 Suppose 7*k - 105 = 2*k. Suppose 4*h - h + 4*o - k = 0, -5*o = -4*h + 59. Calculate the remainder when h is divided by 4. 3 Suppose 3*a - 153 = -4*v - 0*a, 4*a + 199 = 5*v. Calculate the remainder when (v/(-4))/(3/(-12)) is divided by (2/(-3))/((-15)/450). 19 Let h be (-30)/4*(-4)/3. Suppose h = 2*q - q - 4*s, 5*q - s = 31. What is the remainder when 5 is divided by 3/q*3*2? 2 Suppose -8*c + 19 = -69. Calculate the remainder when c is divided by 3. 2 Suppose 1 = 3*u + 4*j, -u - 5*j - 22 = -5*u. Suppose -4*z + 46 = u*a, -8*a + 3*a = 4*z - 66. Calculate the remainder when 29 is divided by a. 9 Let b = -29 - -43. What is the remainder when 67 is divided by b? 11 Let p(y) = -y - 7. Let k be p(-3). Let w = 21 + k. Calculate the remainder when 65 is divided by w. 14 Suppose 3*k - 2*k = 87. What is the remainder when k is divided by 15? 12 Let i = 5 - -4. Calculate the remainder when 25 is divided by i. 7 Suppose 4*g + 4*d = 8 + 8, -5 = -2*g - 5*d. What is the remainder when 99/(-6)*4/(-6) is divided by g? 1 Let y be 47/9 + 22/(-99). Let r(o) = o + 4. What is the remainder when 34 is divided by r(y)? 7 Suppose 0 = 2*r - 0*r. Suppose -4*p = -5*x - 63, 2*p - 4*x + r = 24. Suppose -7*l = 2*l - 585. What is the remainder when l is divided by p? 21 Suppose 0*i = 2*m - i - 59, -3*i = -m + 42. What is the remainder when 105 is divided by m? 24 Suppose 4*n - 3*w = -w, 3*w - 12 = 0. Suppose 2*j = -4*j + 198. What is the remainder when j is divided by 10 + 2*(-1)/n? 6 What is the remainder when ((-1998)/(-36))/(-1 - 3/(-2)) is divided by 38? 35 Let f = -23 + 30. Let k(i) = 6*i - 7. Let s be k(7). Suppose 0 = 5*n + 4*l - s, -n + 8 = 5*l - 20. Calculate the remainder when f is divided by n. 1 Let w(g) = -g**2 - 7*g - 6. Let q(c) = -c**2 - 7*c + 4. Let u = -15 - -8. Calculate the remainder when w(-4) is divided by q(u). 2 Suppose -5*i = 18*i - 414. Suppose 3*w = 4*o + 90, 182 = 5*w + o + 3*o. What is the remainder when w is divided by i? 16 Let m be 2512/14 - 6/14. What is the remainder when 24/(-36) - m/(-3) is divided by 15? 14 Let l be (-8)/12 + 5/3. Let g be -5*l/(-1)*-1. Let v = 13 + g. What is the remainder when v is divided by 5? 3 Suppose -3*y - 7*y = -350. Calculate the remainder when y is divided by 11. 2 Let i = -4 - -12. Suppose i = y - 9. Let m = y - 10. Calculate the remainder when 19 is divided by m. 5 Let b be 1/(0 + -2 + 3). Let n be (-20)/(-5) - (1 + b). Suppose 3*l = -a + 35, 0 = -a - n*l + 39 - 9. What is the remainder when 38 is divided by a? 18 Suppose 0 = -6*i + 2*i + 16. Suppose 3*f + i - 13 = 0. Let s = f - -5. Calculate the remainder when 22 is divided by s. 6 Let o(c) = c**3 + 6*c**2 - 5*c - 1. Let n be o(-7). Let j = n + 28. Suppose 3*d - 2 - 10 = 0, -5*d - 52 = -3*f. Calculate the remainder when f is divided by j. 11 Suppose 2*d - 125 = -11. Wha
{ "pile_set_name": "DM Mathematics" }
1 Which is the biggest value? (a) 3 (b) -0.5 (c) -5/6 (d) 1/4 (e) 4 e Which is the biggest value? (a) 1.5 (b) 121 (c) 0.2 b What is the fourth biggest value in 0.2, -336, -4, 0.3? -336 Which is the fourth smallest value? (a) 0.5 (b) -7/4 (c) 5 (d) -0.02 c Which is the third smallest value? (a) 5 (b) 15 (c) 1 (d) -5 (e) 2 e Which is the second biggest value? (a) -5/2 (b) -1 (c) -3 a Which is the smallest value? (a) 0.1 (b) 5 (c) 3/5 (d) 4 a Which is the third biggest value? (a) -1/3 (b) 0.1 (c) -10 (d) 4 a Which is the third smallest value? (a) -2/7 (b) -2 (c) 6 (d) 0.32 d Which is the third smallest value? (a) -1/8 (b) -2/9 (c) 1 (d) 13/5 c What is the third biggest value in 2, -6/5, -0.4? -6/5 What is the third smallest value in -3, 0.3, 1, -81? 0.3 Which is the smallest value? (a) -102 (b) -1 (c) 1/16 a What is the smallest value in -2/7, 3/7, -0.2? -2/7 What is the fifth smallest value in 1/9, -1.5, -3, -7/3, 1? 1 Which is the fourth smallest value? (a) 1/113 (b) -2 (c) 1/5 (d) -3 c Which is the second smallest value? (a) -2/9 (b) 13 (c) 2 (d) -3/8 a Which is the second smallest value? (a) 2/39 (b) 0.1 (c) 4 (d) -2/9 a Which is the smallest value? (a) -72 (b) -1/6 (c) -1/9 a What is the second biggest value in 3, -0.0433, -4? -0.0433 Which is the second smallest value? (a) 15 (b) 0.06 (c) 5 (d) -0.4 b What is the second biggest value in 44, 6, 1/7, 3? 6 Which is the smallest value? (a) -847 (b) -4 (c) 0 a What is the second biggest value in -2/11, 1, -0.19, 2/13? 2/13 Which is the third biggest value? (a) 3 (b) 1/6 (c) 27 b What is the third biggest value in -33, 3, -0.2? -33 Which is the second biggest value? (a) -3 (b) 19/5 (c) -5 a What is the smallest value in 0.6, 0, -5, -3? -5 Which is the second smallest value? (a) -11 (b) -3 (c) 0.2 (d) 0.5 b Which is the second biggest value? (a) -44 (b) 4 (c) -3 (d) 1 d What is the second biggest value in 3, 5, -108? 3 Which is the third smallest value? (a) 2/23 (b) -8 (c) 4 (d) -0.8 a Which is the second biggest value? (a) 4 (b) 11 (c) -1/8 (d) 1 (e) 4/13 a What is the second smallest value in 1/4, -101, 0? 0 What is the biggest value in -42/5, -2, 5? 5 Which is the smallest value? (a) 423 (b) -4 (c) 0 b Which is the third biggest value? (a) 0.4 (b) -1 (c) -9 (d) 2/3 b Which is the biggest value? (a) -6/11 (b) -315 (c) 4 c Which is the biggest value? (a) 0.3 (b) 0.07 (c) -0.42 a Which is the third biggest value? (a) 4 (b) 8/3 (c) -0.3 (d) 0.3 (e) -6 d What is the third smallest value in 6/17, 0.02, -0.4, -5? 0.02 What is the third smallest value in 110, -4, -0.4? 110 What is the second biggest value in -1.57, -0.5, 0.3? -0.5 Which is the biggest value? (a) -4 (b) 1 (c) -491 (d) 2 (e) 5 e What is the second smallest value in 2, 0, 2/75? 2/75 What is the second smallest value in 3, -3, -17/114? -17/114 Which is the second biggest value? (a) 140 (b) -0.1 (c) -0.2 b What is the smallest value in -2/3, -0.5, 2/7, -18, 0.4? -18 What is the third smallest value in 3, 19, 4? 19 What is the third smallest value in -672/17, -1/8, -0.5, -2? -0.5 Which is the third biggest value? (a) 3/5 (b) 0.002 (c) -0.3 c Which is the second biggest value? (a) 126 (b) 0.03 (c) -1/2 (d) 1/5 (e) -4 d Which is the smallest value? (a) -0.5 (b) -2 (c) 1/3 (d) -1/17 b What is the second smallest value in -1/3, -0.5, 10842? -1/3 Which is the second smallest value? (a) 0 (b) 0.1 (c) -1 (d) -4/3 (e) -380 d What is the smallest value in -2, 1, -54? -54 Which is the third biggest value? (a) 1 (b) 2/25 (c) -0.08 (d) -1/3 c What is the biggest value in -4, 27, -0.8? 27 What is the fourth smallest value in -4.88, 0, -5, -0.3? 0 Which is the third biggest value? (a) -88 (b) -2/5 (c) -2/11 a Which is the second smallest value? (a) 5 (b) 0.3 (c) -3/16 b What is the smallest value in 5/2, -2/7, -458? -458 Which is the third smallest value? (a) -1/5 (b) -7 (c) 1/2 (d) -2 (e) 0 a Which is the second biggest value? (a) 1 (b) -4 (c) 0.404 c Which is the fifth smallest value? (a) -1 (b) -1/9 (c) -50 (d) -0.4 (e) -0.1 e Which is the third smallest value? (a) 10.9 (b) -3 (c) 0 (d) -4 (e) 16 c Which is the fourth biggest value? (a) -1 (b) -1/4 (c) 4 (d) 4/175 a What is the second biggest value in -3/2, 14, -1/4? -1/4 Which is the third smallest value? (a) -156/5 (b) 2 (c) 5 (d) 2/13 b Which is the second smallest value? (a) -1/3 (b) -2 (c) -12267 b What is the third smallest value in -1/4, -8, 173/3, -1? -1/4 Which is the fourth smallest value? (a) -4 (b) 0.7 (c) 0.1 (d) 6 d Which is the fourth smallest value? (a) -2/7 (b) 0.1 (c) 1/3 (d) -0.3 c Which is the smallest value? (a) 1/3 (b) 2/93 (c) -4 c What is the biggest value in -3/5, -2, -5.642? -3/5 Which is the fourth biggest value? (a) -1/2 (b) -43 (c) -0.2 (d) 5 b Which is the second biggest value? (a) 0.0946 (b) -0.3 (c) 0.1 a Which is the third smallest value? (a) 2/21 (b) 0.001 (c) -3 (d) 0.1 a Which is the second biggest value? (a) 4 (b) -8/7 (c) -0.2 (d) 134 a Which is the biggest value? (a) -0.4 (b) 2/5 (c) 0 b What is the second smallest value in -3/7, -60/17, 0.8, -2, -0.1? -2 Which is the third smallest value? (a) 1 (b) 3 (c) 0.4 (d) -1/8 (e) 27 a Which is the biggest value? (a) 3 (b) -0.07 (c) -0.19 a Which is the third biggest value? (a) 0.5 (b) -3/8 (c) 20 b What is the second biggest value in 0.4, 1.4, 2/9, -2/5? 0.4 What is the third smallest value in -0.442, -11, -1/5? -1/5 What is the smallest value in 0.3, -1/7, 0, 3, -2.6? -2.6 Which is the third smallest value? (a) -12 (b) 1/3 (c) 3/7 (d) -7 b What is the fourth smallest value in 0.3, 3/5, 1/8, -0.2, 0.5? 0.5 What is the third biggest value in -3/8, -5, -0.08? -5 What is the second biggest value in -2/25, -4, 1, 0? 0 Which is the biggest value? (a) 1 (b) -16 (c) -8 (d) -0.5 (e) 3 e Which is the third smallest value? (a) 2/9 (b) -3 (c) 5 (d) -1/46 a Which is the smallest value? (a) -13 (b) -47 (c) 5 b What is the biggest value in -0.3, 6, 5, 1/3? 6 What is the third biggest value in 4, 1, -2/3, 4/3, -10? 1 What is the biggest value in 1, -0.84, -5? 1 What is the fourth biggest value in 2/5, -8, 0, -7, -0.04? -7 Which is the smallest value? (a) -0.3 (b) -2 (c) -37 (d) 0.3 c Which is the third smallest value? (a) 1/4 (b) 22 (c) 0.1 b Which is the fourth smallest value? (a) 3 (b) -5 (c) -0.06 (d) -1 a What is the biggest value in 4, 45, 0.09, -0.4? 45 Which is the third smallest value? (a) 18/11 (b) -1 (c) -2/17 (d) -4 (e) -4/3 b Which is the smallest value? (a) 0.2 (b) -1/586 (c) -1/5 (d) 3 c Which is the smallest value? (a) -0.1 (b) -3/7 (c) 0 (d) 2/3 b What is the fourth smallest value in -5, 0.15, 14/3, 0.5? 14/3 Which is the smallest value? (a) -23 (b) 0 (c) 1/3 (d) 1/5 a Which is the second biggest value? (a) 5 (b) 0.2 (c) -0.64 b Which is the biggest value? (a) -4 (b) 0.2 (c) -2/7 (d) 8 d What is the smallest value in -0.03, -1, -75, 1/10? -75 What is the fourth biggest value in 2, 0.2, 4, 1/9? 1/9 What is the smallest value in -1, -0.03, 3, -1/2? -1 What is the third smallest value in -0.5, 2/17, 3362? 3362 What is the biggest value in 4, -3, 3/31, -0.3? 4 What is the third smallest value in 2, -0.95, 0.3? 2 What is the third smallest value in -3, 0.3, 2/9, -1? 2/9 What is the smallest value in -0.1, -2, 6/23, 4? -2 What is the second smallest value in 0.3, -333, -2? -2 What is the third smallest value in 1, 2/119, 0.4, -4? 0.4 Which is the second smallest value? (a) 11.9 (b) -0.1 (c) 2 (d) -2 b Which is the fifth smallest value? (a) -0.3 (b) 0.03 (c) -0.5 (d) 3 (e) -5 d What is the second biggest value in 3, 21, -0.1? 3 What is the third smallest value in 0.11, -0.3, -3/2, 38? 0.11 What is the second smallest value in -0.683, 4, 1? 1 What is the biggest value in 2/753, -6, -0.2? 2/753 Which is the second smallest value? (a) -6 (b) -14 (c) 6 a Which is the second smallest value? (a) 0.232 (b) 4 (c) -1/4 a What is the third biggest value in 1/6, -4, 4, 3, 0.04? 1/6 What is the fifth smallest value in 105, 0, -0.3, 0.2, 0.1? 105 What is the third bigg
{ "pile_set_name": "DM Mathematics" }
8 Find the first derivative of -468*j*z**3 - 45*j*z**2 - j*z - j - 441273*z**3 - 2*z wrt j. -468*z**3 - 45*z**2 - z - 1 Differentiate -5446933*g - 19250704 wrt g. -5446933 Find the first derivative of -349571669*i**3 + 688479705 wrt i. -1048715007*i**2 Find the third derivative of 671*a**3*d - 5000*a**3 - 23537972*a**2*d wrt a. 4026*d - 30000 What is the first derivative of -34*m*n*y**2 + 2*m*n*y - 137924*m*n - 341*n*y**2 - 93*n*y + n + 10*y**2 + 4*y wrt m? -34*n*y**2 + 2*n*y - 137924*n Find the second derivative of 644929*l**2 + 13*l + 593335 wrt l. 1289858 What is the second derivative of 3*b**3 - 3126324*b**2 - 147491*b + 291 wrt b? 18*b - 6252648 What is the second derivative of -4*b**3*g**2*v - 117034*b**3*g*v + 2*b**3*g + 15*b**2*g*v - 92574*g**3*v wrt g? -8*b**3*v - 555444*g*v Find the third derivative of 4*k**6 + 101932*k**5 - 2*k**3 - 12999483*k**2. 480*k**3 + 6115920*k**2 - 12 Find the third derivative of 53730880*h*l**4 - 7*h*l**3 + 848118*h*l**2 + 221*l**2 wrt l. 1289541120*h*l - 42*h What is the second derivative of m**2*x - 2234055*m**2*z**2 - 20802*m**2*z + 122*m*x*z**2 - x*z - 48*x wrt z? -4468110*m**2 + 244*m*x Find the first derivative of -618*f**3 + 3946*f**2*i**3 + 677*i**3 - i**2 + 4057*i wrt f. -1854*f**2 + 7892*f*i**3 Find the second derivative of -7330127*p**3 - 168668063*p wrt p. -43980762*p What is the third derivative of 4*z**5 + 10*z**4 + 19880*z**3 - 3834994*z**2? 240*z**2 + 240*z + 119280 What is the first derivative of -2788*b**2*d*u**3 + 639*b**2*u**3 + 2*b**2 + 5317*b*d*u**3 - 2*b*u - b + 604*u**3 + u**2 wrt d? -2788*b**2*u**3 + 5317*b*u**3 Differentiate -375111564*l - 383188949 with respect to l. -375111564 Find the second derivative of 64904097*z**3 + 4385009*z - 2 wrt z. 389424582*z Find the third derivative of 8675239*s**5 + s**3 - 13*s**2 + 36*s + 3770. 520514340*s**2 + 6 Differentiate 6014*l**2 + 276*l + 43166238. 12028*l + 276 What is the derivative of 1897578*z**2 - 7984566 wrt z? 3795156*z Differentiate -235*r*s**2 + 19*r*s + 5770*r - 2099*s**2 - 48*s + 740 wrt r. -235*s**2 + 19*s + 5770 What is the second derivative of 9184*t**2*v**2 - 67*t**2*v - 3*t + 8487232*v**2 wrt t? 18368*v**2 - 134*v What is the derivative of 1396662*r**2*s**2 - 67*r**2*s - 13953*r**2 - 4287 wrt s? 2793324*r**2*s - 67*r**2 What is the derivative of 1216330*j**2 + 28648107 wrt j? 2432660*j What is the third derivative of -17250810*r**5 + 15014727*r**2? -1035048600*r**2 What is the third derivative of -15*k*r**3*y + 72*k*r**3 + 22*k*r**2*y**2 - 71*k*r*y**2 - 18*k*y**2 + 22*r**3*y**2 - 2*r**2*y**2 - 2*r**2*y - 18*r**2 wrt r? -90*k*y + 432*k + 132*y**2 Find the third derivative of g**3*j**2 - 12069509*g**3*j + 11*g**2*j**2 - 48*g**2 + 5*g*j**2 - 67 wrt g. 6*j**2 - 72417054*j What is the third derivative of 1942*d**5 + 17541*d**4*w + 5*d**2*w - 32*d**2 + 5*d*w - 2*d + 78*w - 3 wrt d? 116520*d**2 + 420984*d*w Find the second derivative of -81875644*j**5 - 134881544*j - 2. -1637512880*j**3 Find the third derivative of 6777144*i**3*s**2 + i**3*s - 5*i**3 + 10*i**2*s**2 + 677474*i**2*s wrt i. 40662864*s**2 + 6*s - 30 What is the derivative of 6832692*r + 6872741 wrt r? 6832692 Find the third derivative of -76*b**2*w**3 - 8*b**2*w - 22*b*w**3 + 6254*w**3 + 1582915*w**2 wrt w. -456*b**2 - 132*b + 37524 Find the second derivative of -g*x**3 - 80*g*x**2 + 142578*g*x - 4*g + 2*x**3 - 1045*x**2 + 10 wrt x. -6*g*x - 160*g + 12*x - 2090 What is the second derivative of 253511842*f**5 + 133727422*f wrt f? 5070236840*f**3 What is the second derivative of 167*d*t*v**2 + 4*d*t*v - d*v - 12*d - 148*t*v**2 - 565*t*v - t + 717*v**2 - v + 6 wrt v? 334*d*t - 296*t + 1434 Find the third derivative of -137659123*b**6 - 74103661*b**2 wrt b. -16519094760*b**3 Find the second derivative of -1157811198*k**3 - 573796221*k. -6946867188*k Find the third derivative of -1449768*a**4*g**2 - 4*a**3 + 52*a**2*g**2 - 212*a**2 wrt a. -34794432*a*g**2 - 24 What is the second derivative of -15776672*o**2*z**3 + 59*o*z**3 - 2861205*o*z**2 wrt o? -31553344*z**3 What is the third derivative of l**6 + 9736*l**5 + 13*l**3 - 18252541*l**2 wrt l? 120*l**3 + 584160*l**2 + 78 What is the third derivative of 52945*q*x**3 - 845*q*x + x**3 - 505*x**2 wrt x? 317670*q + 6 Find the second derivative of -103241106*i**2 + 551728057*i. -206482212 Find the second derivative of 865722*c**5 + 2*c**3 + 10773150*c wrt c. 17314440*c**3 + 12*c Find the third derivative of 27927758*c**3*d - 2*c**2*d - 2*c*d - c + 60112*d wrt c. 167566548*d Differentiate 75570210*f*z + 14983745*z with respect to f. 75570210*z What is the derivative of 212882653*s*x**3 + 1251*s - 4669 wrt x? 638647959*s*x**2 Find the second derivative of 35*t**3*v + 21029*t**3 + 10*t**2*v - t**2 - 45*t*v + 1619212*v wrt t. 210*t*v + 126174*t + 20*v - 2 Find the second derivative of -2*q**4 - 5*q**3 + 8694333*q**2 + 93159*q + 973. -24*q**2 - 30*q + 17388666 What is the first derivative of 251*j**2 - 24863*j - 16747726? 502*j - 24863 What is the second derivative of -100*i**3*s - 127147*i**2*s + 5*i*s + 51*i - 8309*s + 2 wrt i? -600*i*s - 254294*s Find the second derivative of 220721*l**3 - 1122*l**2 - 156810607*l wrt l. 1324326*l - 2244 Find the first derivative of 41222952*k**4 + 16738093 wrt k. 164891808*k**3 Differentiate 30015918*k + 16005639. 30015918 Differentiate -7*m*u + 16*m - 7330335*u - 2732770 wrt u. -7*m - 7330335 What is the first derivative of 153*a**3 + 2*a**2 + 432*a + 30138776? 459*a**2 + 4*a + 432 What is the second derivative of 5732*a**3*k + a**2*i*k - 9700*a**2*i + 33*a*i*k - 2*a*i - 22*a*k + 2*a + 5*i*k + 31*i - 1 wrt a? 34392*a*k + 2*i*k - 19400*i Find the first derivative of -6591046*b**4*n**2 + 351441*n**2 + 2*n wrt b. -26364184*b**3*n**2 Differentiate -14578438*v**2*x - 200723286*v**2 wrt x. -14578438*v**2 Find the second derivative of 26995*b*z**2 + 2441*b*z + 4*b - 74*z**2 - 6*z - 1 wrt z. 53990*b - 148 What is the third derivative of -57877034*l**3*y**2 + 9*l**2*y**2 - 219*l**2 - 4*l*y**2 - 2*y**2 + 317 wrt l? -347262204*y**2 What is the third derivative of 187912045*s**6 - s**2 + 30181208 wrt s? 22549445400*s**3 What is the derivative of 525*f**3*y - 117254487*f**3 - 31*f**2*y - 117*y wrt y? 525*f**3 - 31*f**2 - 117 Differentiate -45866397*y**2 + 54074362 with respect to y. -91732794*y What is the third derivative of -8895119*i**3 - i**2 - 244685? -53370714 Find the third derivative of -9*b**4 + 2741628*b**3 - 19144264*b**2. -216*b + 16449768 Find the first derivative of 11*a*g**2*z - 3463945*a + 7867435*g**2*z - 10*z wrt g. 22*a*g*z + 15734870*g*z Find the third derivative of -5932*n**5 + 49*n**4 + 3*n**3 - 2*n**2 + 4*n - 629803. -355920*n**2 + 1176*n + 18 Find the second derivative of -18027883*n**2 + 3*n - 1353171. -36055766 What is the second derivative of 193933*l**2*o**2 - 2*l**2*o - 2*l**2 - 2*l*o**2 - 2*l*o + 2*l + 89*o wrt o? 387866*l**2 - 4*l Differentiate 11874*b**3 + 7120*b**2 + 2*b + 106983698. 35622*b**2 + 14240*b + 2 Find the first derivative of -51146675*b**4*z + 2055067*z + 2 wrt b. -204586700*b**3*z Differentiate -p**3 + 6308888*p + 15649888 wrt p. -3*p**2 + 6308888 What is the third derivative of -291034022*v**6 + 16792*v**2 + 2361 wrt v? -34924082640*v**3 Find the third derivative of i**6 - 28324291*i**5 + 2175*i**2 + 18*i - 102. 120*i**3 - 1699457460*i**2 What is the third derivative of 7766*u**4 - 67*u**3 - 5*u**2 + 22*u - 108331 wrt u? 186384*u - 402 Differentiate -87313476*a**2*h**4 - 3*a**2 - 1116*a - 7238 with respect to h. -349253904*a**2*h**3 What is the third derivative of -65668134*u**4 - 111749542*u**2? -1576035216*u Find the second derivative of t**4 + 4853*t**3 + 20*t**2 - 3465885*t + 56 wrt t. 12*t**2 + 29118*t + 40 What is the second derivative of -957*m**3 + 469*m**2 - 14*m - 115800? -5742*m + 938 Differentiate 378284381*a**2*x**2 - 389658257*a**2 with respect to x. 756568762*a**2*x What is the third derivative of 1218*f**4*u - 12*f**4 + 900*f**3 + 486034168*f**2 - 2*u wrt f? 29232*f*u - 288*f + 5400 What is the first derivative of -33*z**2 + 309966*z - 241569873 wrt z? -66*z + 309966 What is the third derivative of -6850303*v**4 + 1362504*v**2? -164407272*v What is the second derivative of -89*b*r**2*s + 478*b*r**2 + 101*b*r*s + 3*b*r - 20*r**2*s + 22428*r*s w
{ "pile_set_name": "DM Mathematics" }
*6 + 0*g**7 + 0*g**3 + 0*g**4 - 1/60*g**5. What is the third derivative of f(l) wrt l? -60*l**2 Let x(o) be the second derivative of -1/2*o**3 + 1/6*o**4 + 0*o**2 + 0 - o. What is the second derivative of x(g) wrt g? 4 Let t(c) be the second derivative of 1/3*c**4 + 2*c + 0*c**3 - 5/2*c**2 + 0. What is the first derivative of t(o) wrt o? 8*o What is the third derivative of -2 + 2*p**3 + 0*p**2 + 2 + 6*p**2 wrt p? 12 Let s(u) be the third derivative of u**7/30 - 5*u**3/6 - 9*u**2. Differentiate s(n) with respect to n. 28*n**3 Let z(r) = -r**2 - 17*r - 14. Let s be z(-16). What is the third derivative of -2 - 15*k**4 + s - 3*k**2 + 4*k**4 wrt k? -264*k Suppose v = -1, -18 = -3*g - 0*g - 3*v. Let h(x) = -x - 7. Let y(k) = 3. Let p(a) = g*y(a) + 4*h(a). What is the first derivative of p(q) wrt q? -4 Let k(i) be the first derivative of i**6/2 + i**3/3 - 7. What is the third derivative of k(z) wrt z? 180*z**2 Let j = -26 - -30. Let k(n) be the third derivative of 1/120*n**6 + 0*n**5 - 3*n**2 + 0 - 1/12*n**j + 0*n**3 + 0*n. Find the second derivative of k(b) wrt b. 6*b Let m(h) be the third derivative of h**6/360 - h**5/24 + h**4/8 + 3*h**2. Let z(r) be the second derivative of m(r). Differentiate z(x) wrt x. 2 Let p = -116 + 121. Let u(g) be the third derivative of -g**2 + 0*g**4 + 0*g - 1/120*g**6 + 0*g**3 + 0 + 1/30*g**p. What is the third derivative of u(k) wrt k? -6 Let q(w) = w - 12. Let g be q(7). Let h(s) = 4*s**2 - 2*s - 6. Let c(f) = 9*f**2 - 5*f - 12. Let t(z) = g*h(z) + 2*c(z). Differentiate t(n) wrt n. -4*n Let d(b) = 3*b**2 - 6*b - 2. Let x = 8 + -10. Let c(i) = i**2 - 1. Let s(m) = x*c(m) + d(m). What is the second derivative of s(a) wrt a? 2 Let q(y) = y**2 - y. Let v(a) = -2 + 3 - 2 + 0 - 4*a - 2*a**2. Let h(o) = -4*q(o) + v(o). What is the derivative of h(i) wrt i? -12*i Let n(h) be the first derivative of 2*h**7/7 - 20*h**6/3 - 2*h**3/3 - h + 2. Find the third derivative of n(f) wrt f. 240*f**3 - 2400*f**2 Suppose -2 = -6*m + 5*m. Suppose 8 = 4*p - 3*z, -4*z - m + 0 = -p. What is the second derivative of y**3 + 3*y + 0*y - p*y wrt y? 6*y Let r(a) be the second derivative of -3*a**5/10 + 3*a**2/2 - a. What is the first derivative of r(m) wrt m? -18*m**2 Suppose -3*f + 4*f = -4*b + 10, 2*b + 2*f - 8 = 0. Find the third derivative of 3*d**5 + 4*d**b - 8*d**2 - 2*d**5 + d**5 wrt d. 120*d**2 Let z(y) = 31*y**2 - 11*y + 16. Let m(x) = -6*x**2 + 2*x - 3. Let j(v) = 33*m(v) + 6*z(v). Differentiate j(d) wrt d. -24*d Let i(c) = -11*c**2 - 33. Let k(y) = -10*y**2 - 33. Let l(u) = 4*i(u) - 5*k(u). What is the first derivative of l(s) wrt s? 12*s Let h(g) be the first derivative of g**2 + 16*g + 9. Differentiate h(p) wrt p. 2 Suppose -8 = -5*w + 2. Suppose -5*t + 4*t = u + 1, 4*t + w*u + 2 = 0. What is the third derivative of -2*o**6 - 2*o**2 + t*o**2 + 0*o**2 wrt o? -240*o**3 Let c(u) be the third derivative of -u**6/360 - u**5/60 - u**3/3 + 3*u**2. Let j(w) be the first derivative of c(w). Find the second derivative of j(r) wrt r. -2 Let d(i) be the first derivative of 5*i**7/21 - 5*i**4/12 + 4*i - 8. Let k(v) be the first derivative of d(v). Find the third derivative of k(j) wrt j. 600*j**2 Let t(j) = 1. Let c(r) = -11*r**2 - 29. Let d(x) = c(x) - 4*t(x). What is the derivative of d(y) wrt y? -22*y Let r(q) be the first derivative of -4*q + 4 + 0*q**2 + 0*q**3 + 0*q**4 + 4/5*q**5. Find the first derivative of r(y) wrt y. 16*y**3 Let v be 2 - 0/(1 + 0). Let h(d) be the first derivative of 0*d**v - 2/3*d**3 - 1/2*d**4 - 2 + 0*d. Find the third derivative of h(y) wrt y. -12 Let j(t) = t**3 + 3*t**2 - 2*t - 1. Let v be j(-3). Find the third derivative of 0*z**v + 0*z**5 + z**5 - 6*z**2 wrt z. 60*z**2 Let i(t) = 10*t**2 + 11. Let k(z) = 20*z**2 + 22. Let w(m) = 5*i(m) - 2*k(m). Differentiate w(g) with respect to g. 20*g Let j(d) = -d**3 - 11*d**2 + 13*d + 15. Let m be j(-12). What is the first derivative of l**2 - m + 2 - 3 wrt l? 2*l Find the first derivative of -2*k**3 - 2*k**3 - 4*k**3 - 2*k**3 + 13 wrt k. -30*k**2 Let h(r) be the first derivative of r**5/5 + 3*r + 5. Differentiate h(q) with respect to q. 4*q**3 Let i(s) = -3*s**3 - s - 9. Let w(z) = z**3 + z + 1. Suppose 1 = 2*l - 1. Let a(c) = l*w(c) + i(c). Find the first derivative of a(d) wrt d. -6*d**2 Find the third derivative of 5 - 12 + 19*v**4 + 7 + 9*v**2 wrt v. 456*v Find the second derivative of -11*s**4 + 2*s + 3*s + 3*s**4 wrt s. -96*s**2 Let f(u) be the first derivative of u**5/40 + u**4/8 - u**3/3 + 1. Let j(z) be the third derivative of f(z). Differentiate j(b) wrt b. 3 Let x(y) be the third derivative of y**6/144 + y**5/24 + y**4/6 + 7*y**2. Let c(q) be the second derivative of x(q). What is the derivative of c(i) wrt i? 5 Let n(u) be the third derivative of u**8/840 + 5*u**4/24 - u**3/6 - 2*u**2. Let y(t) be the first derivative of n(t). What is the derivative of y(f) wrt f? 8*f**3 Let j(f) = f**5 - f**2 - 1. Let v(z) = -16*z**5 - 6*z**2 + 13*z - 6. Let t(y) = 6*j(y) - v(y). What is the second derivative of t(i) wrt i? 440*i**3 Suppose -5*j = 2*b - 37, -3*j - 2*j - 5 = -5*b. Differentiate 5*m - 4*m + 5 - b*m wrt m. -5 What is the derivative of 6*t**2 + 9*t**2 - 5*t**2 + 38 - 44 wrt t? 20*t Let t(s) = s**4 + 3*s**2. Let y be 2/3 - 60/9. Let p(l) = -9*l**2 + 2 - 2 - l**4 + 6*l**2. Let b(k) = y*t(k) - 5*p(k). Find the third derivative of b(x) wrt x. -24*x What is the third derivative of 7*d**2 - 6*d**3 + 2*d**3 - 7*d**3 wrt d? -66 Let h(i) = -4*i**2 + 2*i**2 + 3*i**3 + 2*i**4 - i**2 - 6. Let y(f) = f**4 + f**3 - f**2 - 1. Let u(v) = h(v) - 3*y(v). Differentiate u(t) wrt t. -4*t**3 Suppose 2*a = a. Let g(i) be the second derivative of -1/15*i**6 + 0*i**3 + a*i**4 + 1/2*i**2 + 2*i + 0 + 0*i**5. Find the first derivative of g(d) wrt d. -8*d**3 Find the third derivative of 8*b**5 - 2*b**5 - 2*b**5 - 6*b**2 + b**5 wrt b. 300*b**2 Let g(n) be the second derivative of -n**2 + 0*n**4 - 3/20*n**5 - n + 0*n**3 + 0. Differentiate g(i) wrt i. -9*i**2 Let l(h) = 9*h**4 + 3*h**2 + 19*h + 3. Let u(p) = -64*p**4 - 20*p**2 - 132*p - 20. Let k(w) = 20*l(w) + 3*u(w). Find the second derivative of k(z) wrt z. -144*z**2 Let n = 11 + -9. What is the derivative of 0*r**2 + 3 - r**2 + 0*r**2 + n wrt r? -2*r Suppose -6*g + 6 = -3*g. Find the third derivative of -12 + 12 + 4*n**g - 2*n**2 - 4*n**6 wrt n. -480*n**3 Suppose 0 = 3*j - 3, 3*k = -5*j + 14 + 6. Suppose -k*y = 2 - 7. Differentiate 0 - y - 3 + z**2 with respect to z. 2*z What is the second derivative of 29*q - 116*q**2 + 116*q**2 - 51*q**3 wrt q? -306*q Let d(a) = 4*a**3 + 2*a - 4. Let v(k) = -9*k**3 - 5*k + 7. Let q = -14 + 16. Let n(x) = q*v(x) + 5*d(x). Differentiate n(l) wrt l. 6*l**2 Suppose -2*p - 2*p + 16 = 0. Suppose 2*m - 18 = -p*f, 0 = f + f - m - 3. Find the second derivative of -u - u + f*u**4 - 2*u**4 wrt u. 12*u**2 Find the first derivative of 6 - 11 - 1 - 4 - l**2 wrt l. -2*l Suppose 3*j + 6 = -0*j. Let q(w) = w**3. Let a(r) be the third derivative of -r**3/6 + 4*r**2. Let t(f) = j*q(f) + 3*a(f). What is the derivative of t(i) wrt i? -6*i**2 Let v(w) be the third derivative of -w**9/3024 - 7*w**5/120 + w**4/24 - 7*w**2. Let m(q) be the second derivative of v(q). Differentiate m(c) with respect to c. -20*c**3 Find the second derivative of -19*d**2 + 116*d - 238*d + 121*d + 3 wrt d. -38 Let j(q) be the first derivative of -q**6 + 7*q**3/3 - 8. Find the third derivative of j(b) wrt b. -360*b**2 Let q(x) = -9*x**5 + 3*x**4 - 7*x**2 + 3*x. Let v(y) = -y**4 - y**2 - y. Let j(n) = -q(n) - 3*v(n). What is the third derivative of j(i) wrt i? 540*i**2 Let u(v) = -40*v**2 + 12*v - 2. Let c(w) = -16*w**2 + 5*w - 1. Let t(z) = -12*c(z) + 5*u(z). Differentiate t(a) with respect to a. -16*a Let a(v) = v**3 - 9*v**2 + 7*v + 11. Let q be a(8). Find the second derivative of -k**3 + 6*k + q*k**3 - 2*k wrt k. 12*k Let x(u) = -2*u**3 - 4*u + 4. Let a(h) = 5*h**3 - h**2 + 9*h - 9. Let r = -30 - -21. Let s(d) = r*x(d) - 4*a(d). What is the third derivative of s(n) wrt n? -12 Let m(h) = -28*h**3 - 16*h**2 - 5. Let q(p) = -29*p**3 - 17*p**2 - 6. Let c(s) = -6*m(s) + 5*q(s). Find the third derivative of c(a) wrt a. 138 Let j = -93 + 51. Let r be 1/(-4) + j/(-8). What is the second derivative of -z - r*z**5 + 6*z**5 - z wrt z? 20*z**3 Let y(q) = 5*q*
{ "pile_set_name": "DM Mathematics" }
nd derivative of c(r) wrt r. 6*r Let f(o) = 4*o + 3. Let u be f(-3). Let y = 29 + u. Find the second derivative of y*b - 30*b + 7*b**3 + 16*b wrt b. 42*b Let n = 5 + 0. Find the second derivative of n*t**2 + 14*t + 3*t**2 - 4*t - 11*t**2 wrt t. -6 What is the derivative of 400*d - 119 - 799*d + 476*d**3 + 399*d + 179*d**3 wrt d? 1965*d**2 Find the second derivative of 27688*p**2 - 71*p + 5*p - 27687*p**2 - 54*p**3 wrt p. -324*p + 2 Let p(b) = 916*b - 840. Let n(o) = 131*o - 120. Let t(a) = -20*n(a) + 3*p(a). What is the derivative of t(y) wrt y? 128 Let t be (-2)/(-20) - (-49)/(-840). Let s(a) be the third derivative of 4*a**2 + 0*a + 0 + 2/3*a**3 - t*a**4. Differentiate s(g) wrt g. -1 Let z(k) be the second derivative of -21*k**5/5 + 157*k**4/12 - 55*k. Find the third derivative of z(o) wrt o. -504 Let h(t) = 2*t**2 - 2*t - 1. Let k(x) = -101*x**3 - 8*x**2 + 6*x + 254. Let p(u) = 4*h(u) + k(u). Find the first derivative of p(d) wrt d. -303*d**2 - 2 Let f = 46 + -36. What is the second derivative of 28*a**2 - a**4 - 21*a - f*a**4 - 22*a + 9*a**4 wrt a? -24*a**2 + 56 Let h(j) be the second derivative of j**8/168 - j**5/30 + 5*j**3/2 + j. Let n(o) be the second derivative of h(o). What is the second derivative of n(w) wrt w? 120*w**2 Let o(v) be the second derivative of v**4/12 + 17*v**3/6 + 9*v**2 + 2*v. Let p be o(-16). What is the third derivative of -w**p - w**3 - 6*w**2 - 6*w**3 wrt w? -42 Let p(q) be the third derivative of 229*q**7/105 + q**6/120 - 25*q**4/2 + 2*q**2 - 428*q. What is the second derivative of p(h) wrt h? 5496*h**2 + 6*h Let r be 11*2 - (6 + -4 + -5). Differentiate r - 35 + 0*m + 25*m + 53 with respect to m. 25 Let y(f) = -f**2 - 10*f - 16. Let w be y(-8). What is the second derivative of 12*k**4 + 0*k**2 + 6*k + w*k**2 - 2*k**4 wrt k? 120*k**2 Let j(c) be the second derivative of -c**5/3 - 13*c**3/6 - 9*c**2/2 + 17*c. Let r(q) be the first derivative of j(q). Differentiate r(y) with respect to y. -40*y Let c(k) be the third derivative of 223*k**7/210 + 13*k**5/12 - k**4/4 - 2*k**2 - 35*k. What is the third derivative of c(m) wrt m? 5352*m Let z(m) be the first derivative of -121*m**5/5 - 7*m**2/2 + 124. Find the second derivative of z(l) wrt l. -1452*l**2 Let p(x) = 40*x - 541. Let l(q) = 82*q - 1083. Let n(m) = 3*l(m) - 7*p(m). Find the first derivative of n(c) wrt c. -34 Let k(r) = -r + 12. Let u be k(5). Suppose 5 = -i + u. Find the third derivative of 13*q**4 - 3*q**2 - 13*q**4 + i*q**2 + 4*q**6 wrt q. 480*q**3 Let k(t) be the second derivative of t**9/504 + 37*t**5/60 + 17*t**2 - 25*t. Let j(y) be the first derivative of k(y). Find the third derivative of j(z) wrt z. 120*z**3 Let k(i) = -51*i - 18. Let n be k(-3). What is the third derivative of -135*l - 3*l**2 + 4*l**5 + n*l wrt l? 240*l**2 Let k(h) be the second derivative of 0*h**5 - 4/3*h**4 + 0*h**3 + 0 - 11*h + 0*h**6 - 8/21*h**7 + 0*h**2. What is the third derivative of k(m) wrt m? -960*m**2 Let a(c) = -c**3 + c - 1. Let g(o) = -433*o**3 + 135*o**2 - 5*o + 5. Let d(y) = 5*a(y) + g(y). Find the third derivative of d(m) wrt m. -2628 Let f(i) = -2*i + 46. Let c be f(19). Let k be ((-16)/20)/(4/(-10)). Find the third derivative of 3*x**4 + c*x**2 + 0*x**k - 4*x**4 wrt x. -24*x Let p = -137 - -139. Let s(a) be the first derivative of 0*a - 2/5*a**5 + 0*a**3 + 0*a**4 - 3/2*a**2 + p. Find the second derivative of s(k) wrt k. -24*k**2 Let x(g) be the first derivative of -7*g**4/12 - 23*g**3/6 + 7*g**2 + 11. Let d(f) be the second derivative of x(f). Differentiate d(k) with respect to k. -14 Let j(f) = f**2 - f - 1. Let b be j(-1). Suppose r - b = 1. Find the second derivative of 0*h**2 - 4*h**r - 5*h + 2*h**2 + h**2 wrt h. -2 Let q(i) be the first derivative of -2*i**3/3 - 18*i**2 - 126*i + 100. What is the derivative of q(p) wrt p? -4*p - 36 Let s(b) be the second derivative of -51*b**5/20 + 3*b**4/4 + 131*b**2 - 20*b. Find the first derivative of s(n) wrt n. -153*n**2 + 18*n Suppose -13 = -5*x + 4*f, 3*x = -2*f + 13 + 8. Let c(o) = 5*o - 2. Let v be c(2). Find the second derivative of -30*t**3 + 28*t**3 - x*t + v*t wrt t. -12*t Find the first derivative of -2*x + 47 + 19*x + 7*x wrt x. 24 Let z(b) be the third derivative of 8*b**7/105 + b**6/60 + 13*b**5/15 - 200*b**2. What is the third derivative of z(c) wrt c? 384*c + 12 Let a(u) be the first derivative of 0*u - 5/3*u**3 + 3*u**2 - 6. What is the second derivative of a(y) wrt y? -10 Let j be -2 - (44/5)/(2/5). Let d(t) = 90*t**2 + 24*t - 81. Let b(g) = 18*g**2 + 5*g - 16. Let l(n) = j*b(n) + 5*d(n). Differentiate l(r) wrt r. 36*r Let g(v) be the first derivative of 0*v**5 - v**6 + 0*v**2 + 7 + 0*v**4 + 10/3*v**3 + 0*v. What is the third derivative of g(t) wrt t? -360*t**2 Let p(a) = -a - 21. Let h be p(-9). Let y be (-8)/h*(-24)/(-4). Find the first derivative of -7*v**y + 2 - 11 + 0*v**4 wrt v. -28*v**3 What is the derivative of -14*k**2 + 14*k**2 + 14*k**2 - 7 + 14*k**2 + 16*k**2 wrt k? 88*k Let o(w) = -w**2 - w - 1. Let j(b) = -344*b**4 - 5*b**2 - 11*b - 2. Let p(h) = j(h) - 5*o(h). Find the second derivative of p(d) wrt d. -4128*d**2 Suppose -8*i + 7*i = 2. Let o be i/5 - (-216)/40. Find the second derivative of -5*z**5 + 2*z - 2*z + 4*z - 3*z**o wrt z. -160*z**3 Find the second derivative of -3*r**2 + 77*r - 12*r**2 - 48*r - 236*r - 172*r wrt r. -30 Let u(n) = 88*n**4 + 5*n**3 + 2*n + 593. Let a(p) = -89*p**4 - 6*p**3 - 2*p - 592. Let s(l) = -5*a(l) - 6*u(l). Find the second derivative of s(d) wrt d. -996*d**2 Let z(b) be the second derivative of 13*b**6/40 - 7*b**3/2 - b**2 - 31*b. Let v(u) be the first derivative of z(u). Find the first derivative of v(y) wrt y. 117*y**2 Let t(y) be the first derivative of -1/3*y**3 + 0*y + 10 + 0*y**2 + 11/4*y**4. What is the third derivative of t(r) wrt r? 66 Let y(d) = 3*d**2 - d + 2. Let g be y(2). Find the second derivative of g*r**5 + 88*r - 36*r - 44*r wrt r. 240*r**3 Let g(o) be the first derivative of -3*o**4/4 + 8*o**3 + 475*o**2/2 - 91. What is the second derivative of g(f) wrt f? -18*f + 48 Let y(k) be the first derivative of k**8/840 - k**5/40 - 14*k**3/3 + 13. Let a(b) be the third derivative of y(b). What is the second derivative of a(t) wrt t? 24*t**2 Suppose l = 2*f - 3*f - 2, 3*l + 24 = 3*f. Suppose f*t - 76 = 107. Find the second derivative of 51*n**5 + 6*n - t*n**5 - 2*n + 5*n wrt n. -200*n**3 Suppose 2*l + 2*l = 2*n + 18, 3*l = 4*n + 16. Suppose 4*t = -13 + 1, -5*t - 20 = -p. What is the second derivative of -133 + 3*h + 133 - p*h**l wrt h? -60*h**2 Let n(s) be the first derivative of 0*s**4 + 36*s + 0*s**3 - s**2 + 19/3*s**6 - 32 + 0*s**5. What is the second derivative of n(d) wrt d? 760*d**3 Let j(u) = 23*u**4 + 7*u**3 - u**2 - 26. Let z(c) = -22*c**4 - 6*c**3 + 3*c**2 + 22. Let k(d) = -6*j(d) - 7*z(d). What is the third derivative of k(y) wrt y? 384*y Let r(u) be the first derivative of -48*u**3 + u**2 - 11*u - 161. What is the second derivative of r(p) wrt p? -288 Let u(l) = -35*l**3 + 6*l**2 - 6*l - 31. Let y(i) = -i**3 - 3*i**2 + 128 - 127 + 4*i**2 - i. Let a(o) = u(o) - 6*y(o). Differentiate a(f) wrt f. -87*f**2 Let y = 2 - -1. Suppose 0 = t - 3 - y. What is the second derivative of -1 + 7 + 2*a**3 - t - a wrt a? 12*a Let h(g) be the first derivative of 0*g**4 + 0*g + 0*g**5 + 0*g**3 + 5/2*g**2 + g**6 - 9. What is the second derivative of h(z) wrt z? 120*z**3 Let f(h) be the second derivative of -h**8/168 + h**4/4 + h**3/6 - 8*h. Let n(q) be the second derivative of f(q). Differentiate n(s) wrt s. -40*s**3 Let z(t) be the second derivative of 29*t**7/21 + 4*t**3 - t**2/2 + 84*t. Find the second derivative of z(p) wrt p. 1160*p**3 Let j(m) = 2*m**3 - 2*m**2 - 1. Let s(g) = -55*g**3 - 5*g**2 - 6. Let z(u) = 6*j(u) - s(u). Find the third derivative of z(i) wrt i. 402 Let o(z) be the third derivative of -11*z**8/168 + z**5/10 - 5*z**4/8 - 7*z**3/6 - 148*z**2. What is the second derivative of o(u) wrt u? -440*u**3 + 12 Let g(f) be the first derivative of 17*f + 0*f**4 + 0*f**3 + 0*f**2 + 2 + 47/5*f**5. Find the first derivative of g(c) wrt c. 188*c**3 Let v(u) = -24*u - 29. Let f(n) = -72*n - 88. Let o(d) = -d**3 + 11*d**2 + d - 8. Let y be o(11). Let g(p) = y*f(p) - 8*v(p). Differentiate g(m) wrt m. -24 Suppose 5*c - 4 = g, 2*g = 4*g + 8. Let v(o
{ "pile_set_name": "DM Mathematics" }
. What is the tens digit of d? 3 Let u = 11 + -5. Let x = -7 - u. Let j = 33 + x. What is the tens digit of j? 2 Let h(w) = 0 - 1 + 8*w + 0 + 11 + w**2. What is the tens digit of h(-8)? 1 Let o(x) be the first derivative of -x**2/2 + 7*x - 2. Let a be o(5). Suppose -3 = -w + a. What is the units digit of w? 5 Let q(c) = c**3 - 2*c**2 + 2*c - 4. Let r be q(2). Suppose 0 = 2*z - r*z - 2. What is the units digit of z? 1 Let y = -10 - -6. Let d(j) = -j + 2. Let m be d(y). What is the units digit of -1*(-2 - (m + -1))? 7 Let i(n) = -n - 3. Let s be i(-3). Suppose -5*f + 2*f + 45 = s. What is the tens digit of f? 1 Suppose 4*p + p = 15. Suppose -4*d - 5*m + 4 = 0, -p*d - m + 2*m = 16. What is the units digit of (-42)/d*2/3? 7 Suppose 20 = -3*j + 122. Let w = j - 21. What is the tens digit of w? 1 What is the units digit of -9 + 6 - (-66 + 2/2)? 2 Let s = 3 + 0. Suppose -s*h + 21 = -0. Suppose 2*m - 3*m = -h. What is the units digit of m? 7 Suppose -2*l - 453 = -5*i, 3*i + 2*i - 4*l - 451 = 0. What is the tens digit of i? 9 Let p(t) = t**3. Let a be p(1). Let j be (a + 1)*2/(-1). Let h = 10 + j. What is the units digit of h? 6 Suppose -5*r + 210 = 5*a, a + 3 = 2. What is the tens digit of r? 4 Let v be 26/(-22) - (-4)/22. Suppose -4*m - 12 = p - 5*p, -4*p + 3*m + 11 = 0. What is the units digit of 2*(1 - v/p)? 3 Let b = 4 + -2. Let p = 43 - 15. Suppose -2*n = b*n - p. What is the units digit of n? 7 Let h(n) = -n**3 + 2*n + 3*n**2 - 5*n**2 + 2*n**3. Let g be h(3). Suppose -2*x + 4*x - 10 = 5*d, -3*x + g = -5*d. What is the units digit of x? 5 Let k be 82/10 + 4/(-20). What is the tens digit of (k/10)/(2/25)? 1 Suppose -2*d + 18 = -3*l, -l = 2*d + l + 2. Suppose -7*g = -d*g. Suppose g = 3*i + i - 48. What is the units digit of i? 2 Let t = -44 + 104. What is the units digit of t? 0 Let g(y) = -y**2 - 8*y - 3. Let q be g(-7). Let a(b) = -b**3 + 5*b**2 - 2*b - 4. What is the units digit of a(q)? 4 What is the units digit of (-2)/(((-8)/14)/2)? 7 Suppose -2*t + 68 = 4*c, -15 - 10 = 5*c. What is the tens digit of t? 4 Let s(b) = b**3 + 9*b**2 + 6*b + 5. Let z be s(-8). What is the units digit of 4/6*z/2? 7 Let u be -10*4/(-2)*1. Suppose -4*g = -3*g + 4*z - u, -4*g + 92 = 4*z. Suppose w - 5*w + g = 0. What is the units digit of w? 6 Suppose m - 13 = 6. Suppose -3*t = -2*k + 7*k - m, 4*t + 2*k = 44. What is the tens digit of t? 1 Let a(i) = -8*i + 18. What is the units digit of a(-4)? 0 Let h(y) = y**3 - 8*y**2 + 8*y - 5. Let x be h(7). Suppose -5*d - 6 = -3*k - 29, 0 = -4*d - x*k + 14. What is the units digit of d? 4 Let o be (3/3)/((-1)/23). Let j = 37 + o. Suppose j = -3*g + 41. What is the units digit of g? 9 What is the tens digit of 21 - (-2 - 0/4)? 2 Let w = -6 - -2. Let z(d) = -d**2 - 5*d - 2. Let o be z(w). Let c(y) = 11*y - 3. What is the units digit of c(o)? 9 Let i(c) = c**2 + 3*c - 4. Let k be i(-3). Suppose 4*u - 5*b - 34 = 0, -3*b + 3 = -u + 8. Let s = k + u. What is the units digit of s? 7 Let m be ((-1)/(-2))/(4/16). Suppose 7 = -3*a - m. Let h(o) = -3*o. What is the units digit of h(a)? 9 Let b = -146 + 204. What is the units digit of b? 8 Suppose -3*r = 2*d - 78, 5*r - d + 4*d - 129 = 0. Let k be r/14 - 10/(-35). What is the units digit of k/4 + (-4)/(-8)? 1 Let w(q) = -6*q**2 - q**3 + q**3 - 9*q - q**3 + 2*q. Let m be w(-5). Let v = m + -4. What is the units digit of v? 6 Suppose -k + 28 = h, -3*h = -0*h + 2*k - 84. What is the tens digit of h? 2 Let b(m) = m**3 - m**2 + 1. Let w(i) = i**3 + 13*i**2 - 14*i + 1. Let u be w(-14). Let y be b(u). What is the units digit of 9/((-2)/(y + -3))? 9 Let j(v) = v**2 - 5*v + 11. What is the units digit of j(8)? 5 Suppose f + 17 = -5*m + 3*f, 2*m + 2 = 2*f. Let d = -4 - m. What is the units digit of d? 1 Suppose -211 = -d - 4*u - 14, -d = -5*u - 197. What is the hundreds digit of d? 1 Let a be (9/3 - 0) + 3. Suppose y - a = -1. Let f = y - 3. What is the units digit of f? 2 Suppose -9 = -5*x + 201. What is the units digit of x? 2 Let v(p) = -p**2 + 7*p - 9. Let h be v(6). What is the tens digit of 17*(1 + 3 + h)? 1 Let r(k) = k**3 - 2*k**2 + 4. What is the units digit of r(4)? 6 Suppose 28 = 4*i + 8. Suppose 34 = 4*x - 0*z - 5*z, i*z = -3*x + 8. What is the units digit of x? 6 Let t = -13 - -25. Suppose -d - t = -3*d. Suppose -d + 2 = -2*i. What is the units digit of i? 2 Let u be (1 - 0) + -1 + 2. Suppose u = -r + 24. Let m = r + -13. What is the units digit of m? 9 Let l(a) = a**2 + 7*a - 8. Let m(f) = -f**3 - 8*f**2 - 5*f + 5. Let d be m(-7). What is the tens digit of l(d)? 1 Suppose 0*h - h + 1 = 0. Let s(n) = 3*n**2 - 3*n**2 + 4*n**2. What is the units digit of s(h)? 4 Let z(a) = -12*a - 43. What is the units digit of z(-23)? 3 Let g(j) = j**3 - 5*j**2 + 3*j - 3. Let l be g(4). Let p = 14 + l. What is the units digit of p? 7 What is the tens digit of -3 - -45 - 3/(-3)? 4 Let p be 3*9/(81/(-60)). Let s = -12 - p. What is the units digit of s? 8 Let u = 258 + -128. What is the units digit of u? 0 Let x = 2 + -3. What is the units digit of 7 + -2 + 1 + x? 5 Suppose 0 = 2*t - 2 - 12. Let y be 2/t - (-231)/49. Suppose q - 5*q - 5*o = -43, y*q - 2*o = 62. What is the units digit of q? 2 Let p(c) = c**2 - c + 4. Let q be p(0). Suppose q*l = l + 2*d - 1, 10 = -5*l + 5*d. Suppose 4*m - l*m + n = 3, -5 = -5*n. What is the units digit of m? 2 Suppose 3*z + 2 - 17 = 0. Suppose 4*p + 17 - 1 = i, -5*i = 4*p + 16. Let d = z + i. What is the units digit of d? 5 Let m = 13 + -13. Suppose m = 4*n - 6 - 86. What is the tens digit of n? 2 Let l = 3 + -13. Let g = -2 - l. What is the units digit of g? 8 Suppose i - 6 = -1. Let s = -4 + i. What is the units digit of s? 1 Suppose -5*m + 100 = 5*a, m - 5*a - 14 = -3*a. What is the tens digit of 4/(-6) - (-408)/m? 2 Let n = -8 - 26. What is the units digit of n/(-9) - (-4)/18? 4 Let u(q) = q**2 + 25. Let b(w) = -w + 8. Let v be b(8). What is the tens digit of u(v)? 2 Suppose -3*x + 1064 = 4*x. What is the units digit of x? 2 Let s be -7 - -1 - -4 - -6. What is the units digit of 110/s*(-12)/(-10)? 3 Let v be ((-4)/(-12))/(1/15). Suppose -v*s = 4*g - 35, -2*s - 3*s = -3*g. Suppose s*j + 1 = 5*n - 5, -12 = -j - 3*n. What is the units digit of j? 3 Let k be (-20)/((-6)/3) - 2. Let t be (-2)/(-8) - 2/k. Suppose -r + t*r + 7 = 0. What is the units digit of r? 7 Suppose d - 87 = -3*h, -5*h = -4*d + 485 - 52. What is the tens digit of d? 0 What is the units digit of (-1020)/(-80)*16/6? 4 Suppose 0 = 4*n + 16, -3*i - n = -i + 88. What is the tens digit of (-3)/(87/i - -2)? 4 Suppose 0 = p - 5 - 30. What is the tens digit of p? 3 Suppose 13*c - 110 = 3*c. What is the units digit of c? 1 Suppose 0 = l - 0*l. Suppose -5*w + 4*k + 41 = l, -3*k + 6 = -w + 23. Let b = 11 - w. What is the units digit of b? 6 Suppose 0 = 4*u + q - 81, -5*u - 4*q + 14 + 90 = 0. What is the tens digit of u? 2 Suppose 70 = -l + 6*l. Let m = 35 - l. What is the tens digit of m? 2 Let u be 0*(3 - (2 + 0)). Suppose -4*a = -u*a - 68. What is the tens digit of a? 1 Let g(q) be the third derivative of -q**5/60 - q**4/4 + 5*q**3/6 + 3*q**2. What is the units digit of g(-6)? 5 Suppose -4*f + 134 = -2*i, -27 = -4*f + i + 106. Let k = f + -46. Let u = -9 - k. What is the units digit of u? 4 What is the units digit of (11/(-3))/(6/(-36))? 2 What is the hundreds digit of (56/(-5))/(-5 - (-495)/100)? 2 Let d(q) = 13*q**3 + 11*q**2. Suppose 0 = -y + 6*y + 45. Let u(a) = -6*a**3 - 5*a**2. Let f(x) = y*u(x) - 4*d(x). What is the units digit of f(1)? 3 Let z(a) = a**3 - 5*a**2 - 6*a - 8. What is the units digit of z(8)? 6 Suppose 0 = 4*j - 2*j + 12. Let n = 15 - j. What is the tens digit of n? 2 Let s = -518 - -908. What is the hundreds digit of s? 3 Let b(u) be the second derivative of -u**6/120 + u**4/6 - 3*u. Let d(v) be the third derivative of b(v). What is the units digit of d(-1)? 6 Let g(n) = 14*n**2 + 12*n - 3. What is the tens digit of g(-6)? 2 Let i be (8/10)/((-6)/(-15)). Suppose 15 = i*u + u. Suppose -4*z - 5*a = -15 - 9, -2*z + 22 = u*a. What is the units digit of z? 1 Suppose 5*f = 17 + 13. Suppose -f = -4*l - 2*k, 4*l = 3*k - 10 + 1. Suppose 2*q - 2*a - 20 = l, 0 = -4*q - 5*a + 27 + 13. What is the units digit of q? 0 Let k be 1/((-2)/(-162)*3). Let t = k + 3. Suppose -3*d + 0*d = -t. What is the units
{ "pile_set_name": "DM Mathematics" }
second smallest value in j, x, -0.5, -0.2? -0.5 Let h be 89/(-4) - 2/(-8). Let z be -1 + h/(-30) - (-2)/5. Let w(q) = -5*q + 1. Let i be w(-2). Which is the third biggest value? (a) z (b) 5 (c) i a Let v = 4 - 4.1. Suppose 138 - 140 = m, -3*m - 96 = 5*n. What is the third smallest value in -0.3, v, -6, n? -0.3 Let h = 80.55 - 82.55. Let d = -0.61 + 0.31. What is the third smallest value in d, 0.1, h? 0.1 Let p = -398.04 - -398. Which is the biggest value? (a) 11 (b) 3/4 (c) p a Let p = -77 - -74. Suppose -2*d + 5*d - 10 = -5*f, -28 = 3*f - 5*d. Which is the second biggest value? (a) f (b) p (c) 151 a Let a = -0.0928 + -0.3072. Let y = -5 + 4.97. Let j = y + 2.03. What is the third smallest value in j, a, 1/9? j Let g = -3123 + 3126. Which is the second smallest value? (a) -2 (b) -25 (c) g a Let v = -1.32 + 2.35. Let y = -0.07 - v. What is the smallest value in 2/13, y, 0? y Let i = 2679 - 18741/7. Which is the second smallest value? (a) i (b) 28 (c) 0 a Let z = -0.3 + 1.3. Suppose -51*d - 792 = -180. Let t be 66/297*9/d. Which is the third biggest value? (a) z (b) -0.3 (c) t b Let x = 269 - 265. Let k = -6254/5 + 1251. Which is the third biggest value? (a) x (b) k (c) -0.01 c Let z = 1 + 36. Suppose 31*p = z*p + 42. Which is the smallest value? (a) -4 (b) -0.3 (c) 4 (d) p d Let w = 0.8907 + -1.0907. What is the third smallest value in w, 2, 0.2, -1073? 0.2 Let y = 14 + -15. Let p = 2295 - 2294. What is the fourth smallest value in -2, y, -2/7, p? p Let f = -402.4 + 402.37. Which is the third smallest value? (a) -1/3 (b) -7 (c) f (d) -2 a Let g = 316 - 315. Let t = 5727/5 - 1145. What is the third smallest value in g, t, -14/41? g Suppose 2*z = 4*x - 2, -x - z + 205 = 203. Let n = 3.1 - 0.1. What is the second biggest value in 5/9, n, x? x Let b = 75.6 - 112.7. Let i = b + 36. Let q = 1.4 + i. What is the second smallest value in q, 2/3, 3? 2/3 Let q = 4.63 - 4.13. Let o = 71 - 71.31. Let p = o - -0.11. Which is the third biggest value? (a) p (b) 4/3 (c) q a Let m(f) = f**3 - 42*f**2 + 78*f + 8. Let x be m(2). Which is the third smallest value? (a) x (b) -0.88 (c) 0.02 a Let u = 330.9 - 404.9. Let m = -48 - 24. Let o = u - m. Which is the fourth smallest value? (a) 2/3 (b) o (c) 22 (d) -1 c Let y be (-1)/10*-2*-1. Let k be (11 - (-4 + 20)) + (-93)/(-21). What is the second smallest value in 2/17, -4, k, y? k Let f = -1694203/100 - -16942. What is the third biggest value in 0.4, 0.3, 1/3, f, -2/15? 0.3 Let k be (-5)/(-60)*44 - (2*-5)/(-2). What is the fourth biggest value in -0.3, k, 2/17, -2? -2 Let s = 5/1759 + 3503/5277. Let y = 0 + -3. What is the smallest value in -33, y, -0.4, s? -33 Let r be (-2)/(-3) + (-5)/3. Let m = -204724/3 - -68241. What is the biggest value in 0.2, m, r, 13? 13 Let a = 1171.5 - 1172. What is the second smallest value in 1/2, 0, a, 5, -57? a Let n = -379 + 377.27. Let w = n + 0.73. Which is the third smallest value? (a) w (b) 0 (c) -0.08 b Let l = 2.12 - 380.12. Let i = l + 377.7. Which is the biggest value? (a) i (b) 53 (c) -0.2 b Let t = -0.5 + 0.8. Let m = 50939 + -50939.4. What is the second smallest value in 0.2, -18, m, t? m Let p be (6*(-1)/(-14))/((-258)/903). Which is the third smallest value? (a) 0.1 (b) -1/2 (c) -1 (d) p b Let q = 140 - 129.3. Let w = q + -16.7. Which is the third biggest value? (a) w (b) -5 (c) -0.1 (d) -18/7 b Let o = -0.5 + 0.6. Let p = -48 + 52. Suppose p*x = -189 + 177. What is the biggest value in o, -2, x? o Let h = -16.99 - -19.99. What is the third smallest value in 26, -4/3, h? 26 Let w = 1118.61 - 1113.61. Let i = 2343/58 + -26/29. What is the second biggest value in -0.1, i, w? w Let t = -6.8 + 6.8. Let z = -6.5 - -6. Which is the fourth biggest value? (a) 0.3 (b) z (c) t (d) 8 b Let z = -8326 + 8311. Which is the fourth biggest value? (a) -0.5 (b) z (c) 232 (d) -4 b Let o = 27.91 + -4.91. Which is the smallest value? (a) -4 (b) -0.2 (c) o a Suppose 0 = 5*q - f + 3, 3*q - 54*f + 76*f - 66 = 0. Let j be 4 - (0 - 0) - 2. What is the second biggest value in q, -0.03, 5, j? j Let q be -3 - (-10 - (17 + -23)). Which is the second biggest value? (a) q (b) 3/7 (c) -77.6 b Let l = -331 + 335. Suppose 8*m - l*m = 3*p + 14, 2*m = -3*p + 16. Let y = -10 + 14. Which is the biggest value? (a) y (b) p (c) -0.3 a Suppose 4*h - 2 = -14. Let u be 1 - ((h - 1) + 14/14). Let w be (u/10)/((-12)/45). What is the third biggest value in w, -0.06, 3/2? w Let h = 19.003 - 19. Let y = -8815 - -8814. What is the smallest value in h, -0.2, y? y Let n = -298.3 - -298. Which is the smallest value? (a) -2/3 (b) -0.24 (c) n a Let l be (-2)/(-9) + 0/2. Let u = -202048.9 - -202049. Which is the biggest value? (a) u (b) 0.2 (c) -20 (d) l d Let v = 0.02378 - 0.05978. Let y = 0.022 - 0.422. Which is the third smallest value? (a) v (b) 0 (c) y b Let f be 9/(-4)*23*(-46)/(-4761). Which is the biggest value? (a) 1/4 (b) -3/5 (c) f (d) -477 a Suppose 0 = -51*n - 205 + 314 + 299. What is the second biggest value in -0.5, 45, n? n Let w = -75 - -75.093. Let o = -0.563 + w. Let i = o + -4.53. Which is the third biggest value? (a) i (b) -0.1 (c) 3 a Let m be ((-6)/(-15))/(22/(-10)). Let w = -159 + 158.9965. Let g = -0.0535 - w. Which is the second biggest value? (a) -3 (b) g (c) m c Let w = 4808.16 - 4809. What is the second biggest value in 0.2, -1/8, w? -1/8 Suppose 0 + 2 = -90*i + 91*i. Let q = -82 + 922/11. Let h = i - q. What is the smallest value in h, 1/10, -1/6, 3/8? -1/6 Let y = 0.033 + 16.967. Let o = y - 18.2. Let g = 1.2 + o. What is the fourth biggest value in -3, g, 1/2, 6/11? -3 Suppose -5*o - 4*z = 29, -239*o = -235*o + 4*z + 28. What is the biggest value in 3/133, o, 0, 2? 2 Suppose -5*x + 91 = l + 57, -14 = l - 3*x. What is the second biggest value in l, 2, 192, 0, -4? l Let u = 12653.6 + -12654. Which is the second biggest value? (a) -0.06 (b) -36 (c) -3 (d) -0.3 (e) u d Let x(w) = 20*w - 222. Let l be x(11). Which is the second biggest value? (a) -21 (b) 49 (c) l c Let l = 6839/3 - 2280. Suppose 2*x - 15 = 3*x. Let v be ((-4)/6)/((-25)/x). Which is the fourth smallest value? (a) l (b) v (c) 4/3 (d) 0.5 c Let s(g) = g**2 + 2*g. Let u be s(-3). Let j = -2.58 + 2.64. Let p = 133 + -135. What is the smallest value in u, j, p? p Let r = 491 + -304. Let j = 188 - r. What is the smallest value in 10/7, 5, j? j Let t = -31.7 - -28.66. Let w = -1.96 + t. Which is the biggest value? (a) w (b) -2/13 (c) 0.3 c Let g = 64 + -69.7. Let m = 6 + g. Let r = 5861/6 + -977. What is the smallest value in -2/35, r, m? r Suppose 72*q - 198 - 78 = 3*q. Which is the smallest value? (a) -2/7 (b) q (c) 3 (d) 0 a Let p = -12158/195 - -312/5. Let x = 7348.2 + -7348. What is the third biggest value in -1, x, p? -1 Let o = -94 + 90.5. Let d = -6.5 - o. What is the third smallest value in 0, -31, d, -2/11? -2/11 Suppose 0 = 37*y - 117 + 6. Let i = 32 - 33.3. Let f = i - -1.3. Which is the smallest value? (a) f (b) 4 (c) -6 (d) y c Let a = -0.30181 - -3.30181. What is the biggest value in 0.1, -2, -36, 2/11, a? a Let r = -2934347569/1302 - -2253723. Let i = r - -1/217. Let o = -3.4 + 1.4. What is the third biggest value in i, o, -1, 1/4? -1 Let o be -4 - -246 - 4*-1. Let n = o + -2216/9. Let t = -127 - -123. What is the third biggest value in n, -0.1, t? t Let x be (27028/6)/(11 + 774/(-54)). Which is the fourth smallest value? (a) 2/7 (b) -4 (c) -1/4 (d) x a Let n = 62.17 + -61.97. Which is the fourth biggest value? (a) -6/7 (b) 5 (c) 0.3 (d) n a Let w = 9.88 - -0.12. Let h = w - 10.3. Let z be ((-36)/20 - -2)*325/(-39). Which is the third smallest value? (a) h (b) z (c) -5 a Let r = 2.7773 + -0.4773. Which is the smallest value? (a) r (b) 2 (c) -3/5 (d) 0.4 c Let o be ((-1)/(-129))/((-245)/18753). Let j = o - 2/301. Let g = -0.01 + -5.99. What is the third biggest value in -2, g, -0.4, j? -2 Let i = 0.1 - -1.9. Let c = -5 + i. Let a be 8 - 0 - 11070/270. What is the biggest value in -1/5, a, c? -1/5 Let b(j) = 4*j**2 + j + 7. Let i be b(-5). Let a be (1274/39)/(2/(-6)). Let o = i + a. What is the second smallest value in o, -2/7, -2/15? -2/15 Let v = -141.1 - 10.9. Let w = -148 - v. Which is the four
{ "pile_set_name": "DM Mathematics" }
ement from {s: 2, w: 1, b: 1, e: 2, v: 8, c: 3}. 2/255 Two letters picked without replacement from qqocoqcqpcqopqpqocr. Give prob of sequence rq. 7/342 Four letters picked without replacement from {t: 2, o: 5, x: 6}. Give prob of sequence xtto. 1/286 Four letters picked without replacement from {q: 2, d: 1, n: 1, s: 3, y: 6}. What is prob of sequence sqqn? 1/2860 What is prob of sequence ggd when three letters picked without replacement from {g: 19, d: 1}? 1/20 What is prob of sequence ggj when three letters picked without replacement from ggjjjgg? 6/35 Three letters picked without replacement from yymyyymymmy. What is prob of sequence mmm? 4/165 Calculate prob of sequence nln when three letters picked without replacement from nnninlnjjljn. 1/22 Four letters picked without replacement from lbbllblllb. Give prob of sequence blbl. 1/14 Four letters picked without replacement from {u: 6, y: 10, x: 1, f: 1, r: 1}. What is prob of sequence yyyf? 5/646 Four letters picked without replacement from {t: 4, h: 2}. What is prob of sequence tthh? 1/15 Calculate prob of sequence lll when three letters picked without replacement from {l: 6, m: 13}. 20/969 Calculate prob of sequence cuq when three letters picked without replacement from uuuqcuuquuqqu. 8/429 Calculate prob of sequence vz when two letters picked without replacement from rzrzrzrrvz. 2/45 Calculate prob of sequence royr when four letters picked without replacement from {r: 2, y: 1, o: 1, b: 1}. 1/60 Three letters picked without replacement from {h: 6, u: 1, s: 3, a: 2, m: 1}. Give prob of sequence hhm. 5/286 Three letters picked without replacement from {v: 4, a: 1, i: 3}. What is prob of sequence vai? 1/28 Three letters picked without replacement from {f: 7, n: 5}. What is prob of sequence nfn? 7/66 Four letters picked without replacement from {x: 1, v: 10, p: 2, g: 6, h: 1}. Give prob of sequence hxpg. 1/9690 Two letters picked without replacement from {d: 1, h: 1, r: 1, t: 1, s: 3}. Give prob of sequence hd. 1/42 Calculate prob of sequence rvy when three letters picked without replacement from yytytvtjjtrtjjyr. 1/420 What is prob of sequence llaa when four letters picked without replacement from {a: 13, l: 6}? 65/1292 Calculate prob of sequence ax when two letters picked without replacement from uaxrxrnuuxxsxurx. 1/40 What is prob of sequence ii when two letters picked without replacement from {p: 10, i: 2}? 1/66 Calculate prob of sequence kd when two letters picked without replacement from dddddddkdddddddddddd. 1/20 Calculate prob of sequence hy when two letters picked without replacement from hyhyh. 3/10 Calculate prob of sequence tzy when three letters picked without replacement from yyztyytdy. 5/252 Four letters picked without replacement from {p: 3, o: 1, h: 3, v: 13}. Give prob of sequence vhop. 13/12920 Calculate prob of sequence go when two letters picked without replacement from oygyodx. 1/21 Calculate prob of sequence vhha when four letters picked without replacement from {a: 4, v: 1, h: 5}. 1/63 What is prob of sequence aa when two letters picked without replacement from {f: 18, a: 2}? 1/190 Three letters picked without replacement from uyujujjyjyjnjxy. Give prob of sequence xyu. 2/455 Two letters picked without replacement from {b: 1, c: 3, l: 1}. What is prob of sequence bl? 1/20 Four letters picked without replacement from fbfffbffffffffbfbfff. What is prob of sequence fbbf? 8/323 Calculate prob of sequence peq when three letters picked without replacement from bexyeyqpx. 1/252 Three letters picked without replacement from eihhnvvoo. What is prob of sequence vvo? 1/126 Three letters picked without replacement from czypczmpzypp. Give prob of sequence mpy. 1/165 Three letters picked without replacement from zdxpbpzipbzp. What is prob of sequence bpx? 1/165 What is prob of sequence lljj when four letters picked without replacement from {j: 2, l: 2}? 1/6 Calculate prob of sequence gmcm when four letters picked without replacement from {g: 1, c: 1, m: 2, b: 1}. 1/60 What is prob of sequence my when two letters picked without replacement from {m: 2, z: 2, y: 1, j: 4}? 1/36 What is prob of sequence uabu when four letters picked without replacement from btaabtatubatuta? 1/1092 Three letters picked without replacement from {q: 5, g: 7, w: 5, r: 1}. Give prob of sequence ggq. 35/816 Four letters picked without replacement from ppzphpphppppphp. What is prob of sequence zphh? 11/5460 Four letters picked without replacement from ueuuuuuuuue. Give prob of sequence ueeu. 1/55 Two letters picked without replacement from vfjqjjkfvvi. What is prob of sequence iq? 1/110 What is prob of sequence qf when two letters picked without replacement from xlxqflqqqgqqgqqjg? 1/34 What is prob of sequence zl when two letters picked without replacement from {l: 1, z: 1, u: 2}? 1/12 Two letters picked without replacement from {z: 2, k: 1, r: 4, i: 2}. Give prob of sequence ik. 1/36 Calculate prob of sequence oo when two letters picked without replacement from {m: 4, o: 2}. 1/15 Two letters picked without replacement from uaeaaaaaaaaaa. Give prob of sequence ue. 1/156 Calculate prob of sequence lk when two letters picked without replacement from {d: 1, e: 2, n: 1, k: 2, l: 1, j: 1}. 1/28 Calculate prob of sequence ac when two letters picked without replacement from ooooaoayoccc. 1/22 What is prob of sequence hg when two letters picked without replacement from {w: 1, h: 2, g: 1, r: 1}? 1/10 Two letters picked without replacement from {r: 1, b: 1, i: 2, h: 2}. Give prob of sequence ir. 1/15 Three letters picked without replacement from llleeellle. What is prob of sequence eel? 1/10 Calculate prob of sequence gxx when three letters picked without replacement from {b: 4, x: 3, g: 1, w: 2, q: 1}. 1/165 What is prob of sequence zj when two letters picked without replacement from gkkvvzgkkgjkgnjzzzk? 4/171 What is prob of sequence qgg when three letters picked without replacement from gggqgggggggg? 1/12 What is prob of sequence bbb when three letters picked without replacement from {h: 2, t: 13, b: 3}? 1/816 Two letters picked without replacement from isibsiisi. What is prob of sequence si? 5/24 Two letters picked without replacement from ldllllll. What is prob of sequence dl? 1/8 Four letters picked without replacement from {a: 4, p: 7, k: 1, b: 2, y: 6}. Give prob of sequence yybb. 1/1938 What is prob of sequence xx when two letters picked without replacement from {j: 1, x: 11, n: 1, d: 2}? 11/21 Calculate prob of sequence mm when two letters picked without replacement from {c: 5, m: 2}. 1/21 What is prob of sequence vv when two letters picked without replacement from {a: 2, v: 4}? 2/5 Two letters picked without replacement from {g: 5, k: 8}. What is prob of sequence gk? 10/39 Three letters picked without replacement from pkrpppssryikrii. Give prob of sequence iky. 1/455 Two letters picked without replacement from {q: 2, e: 1, r: 1, l: 1, i: 2, b: 1}. Give prob of sequence ie. 1/28 Two letters picked without replacement from jzccj. What is prob of sequence zc? 1/10 What is prob of sequence qy when two letters picked without replacement from {q: 5, y: 7}? 35/132 Calculate prob of sequence ggl when three letters picked without replacement from {g: 2, l: 6}. 1/28 Calculate prob of sequence bt when two letters picked without replacement from {b: 7, r: 1, t: 1}. 7/72 Calculate prob of sequence sqjd when four letters picked without replacement from {d: 2, p: 1, s: 2, e: 2, j: 4, q: 1}. 2/1485 Calculate prob of sequence zlo when three letters picked without replacement from {z: 2, o: 1, l: 1, y: 2}. 1/60 Three letters picked without replacement from {r: 6, f: 4, i: 3}. What is prob of sequence ffi? 3/143 What is prob of sequence sn when two letters picked without replacement from snpxnnnmpspkpspmmpm? 2/57 Two letters picked without replacement from {v: 3, t: 2, k: 1, l: 3, z: 2, b: 1}. What is prob of sequence bv? 1/44 Two letters picked without replacement from uxxgjxjgbjggjjj. Give prob of sequence gx. 2/35 Four letters picked without replacement from ttttijtxtitjjxsii. What is prob of sequence sjji? 1/2380 Two letters picked without replacement from duqupuuvq. Give prob of sequence qv. 1/36 Four letters picked witho
{ "pile_set_name": "DM Mathematics" }
z(s) = -2*s + s + 0*s. Let d(n) = 6*n + 2. Let c(a) = -6*a - 1. Let p(o) = 6*c(o) + 3*d(o). Calculate p(z(y)). 18*y Let q(z) = z + 36. Let f(b) = b - 8327. What is q(f(a))? a - 8291 Let z(s) = -2*s + 4. Let g(w) = -39*w + 20. Let r(q) = g(q) - 5*z(q). Let i(n) = n**2 + 0*n**2 + 0*n**2. Calculate r(i(l)). -29*l**2 Suppose 3*a = -5*z + 2*a + 21, 2*a = 5*z - 33. Let m(k) = z*k - 3*k - k. Let v(y) = 2 + 6*y**2 - 2. Calculate v(m(i)). 6*i**2 Let a(s) be the third derivative of -11*s**5/15 + 35*s**2. Let p(t) = 2*t**2. Determine p(a(o)). 3872*o**4 Let m(n) = -5*n. Let p(s) = 197*s**2 + 137*s. Calculate p(m(x)). 4925*x**2 - 685*x Let l(w) = 9*w - 2. Let t(x) = 4452*x**2. Calculate t(l(a)). 360612*a**2 - 160272*a + 17808 Let g(o) = 112*o - 40*o - 37*o - 42*o. Let s(j) = -45*j**2. Calculate g(s(p)). 315*p**2 Let x(o) = 13*o. Let q(a) be the first derivative of -9*a**2/2 - 52. Give q(x(k)). -117*k Let d(g) = -g**2. Let i(j) be the third derivative of -17*j**5/120 + 13*j**3/6 - 11*j**2. Let k(c) be the first derivative of i(c). Calculate k(d(b)). 17*b**2 Let u(v) = -16*v**2. Let f(c) be the first derivative of -2*c**3 + 67. Give u(f(s)). -576*s**4 Let q(l) = -16*l**2. Suppose t = -2*x, 3*x - 5*t - 18 - 8 = 0. Let a(h) = 5*h**2 + x*h**2 - 3*h**2 - 3*h**2. Calculate a(q(z)). 256*z**4 Let g(b) = -245*b. Let j(d) = 34*d. What is j(g(p))? -8330*p Let x(k) = 483*k. Let j(b) = 732*b**2. Give j(x(g)). 170767548*g**2 Let z(f) = -36*f**2 - 15*f - 15. Let j(i) = 5*i**2 + 2*i + 2. Let d(m) = 15*j(m) + 2*z(m). Let b(u) = 3*u**2. What is d(b(k))? 27*k**4 Let l(a) = 4*a**2. Let o(n) = 16*n - n + 7 - 19*n. Give l(o(i)). 64*i**2 - 224*i + 196 Let a(c) = -6*c + 6*c + 4*c. Let y(n) = 3*n**2 + 4*n - 6*n + 2*n. What is a(y(i))? 12*i**2 Let o(b) = 5*b**2 - 3*b. Let y(n) = -8835 + 2*n + 8835. Determine y(o(f)). 10*f**2 - 6*f Let r(c) be the third derivative of -7*c**5/60 + 35*c**2. Let o(q) be the first derivative of -2*q**3/3 + 7. Determine o(r(i)). -98*i**4 Let q(z) = 2*z**2. Let r(h) = -2*h + 44. Let a(b) = -3*b + 89. Let n(c) = 2*a(c) - 5*r(c). Give q(n(w)). 32*w**2 - 672*w + 3528 Let v(i) = -i - 10*i**2 + i. Let x(h) be the first derivative of 3*h**2/2 - 661. What is v(x(q))? -90*q**2 Let d(w) = 3*w**2. Let x = 73 - 59. Let l(n) = 5 + 1 + x*n - 6. Determine l(d(v)). 42*v**2 Let l(j) = 6*j**2. Suppose 0 = -7*v + v + 12. Let n(z) be the second derivative of 0*z**v + 1/6*z**3 + 0 + 2*z. What is n(l(b))? 6*b**2 Suppose 0 = -3*y - 1 + 13. Suppose -y*t = -n - 3, 3*n + 2*n = 4*t + 17. Let i(a) = t*a - 2*a + 0*a**2 + 2*a**2. Let d(v) = 2*v. Calculate i(d(m)). 8*m**2 Let t(p) be the second derivative of p**3/6 + 19*p. Let q(h) = 21*h**2. Determine t(q(w)). 21*w**2 Let s(x) = 15*x**2. Let i(r) be the third derivative of r**5/120 - r**3/3 - 5*r**2. Let d(m) be the first derivative of i(m). Determine s(d(o)). 15*o**2 Let q(y) = -4*y - y - 5*y. Let x(u) be the second derivative of 1/3*u**3 + 0*u**2 + 0 - 5*u. What is q(x(i))? -20*i Let z(c) = -4*c**2. Let h(r) = -12*r + 15. Suppose 2*p + 150 = 12*p. Let n(l) = 3*l - 4. Let v(k) = p*n(k) + 4*h(k). Give z(v(s)). -36*s**2 Let m(p) = -16*p + 8*p - 7*p**2 + 8*p. Let g(y) = 4*y**2. Calculate m(g(l)). -112*l**4 Let b(s) = 10*s**2. Let u(o) = 4*o**2 + 2*o. Let t(j) = -9*j - 4*j**2 + 3*j**2 - 16*j**2. Let l(d) = -2*t(d) - 9*u(d). What is b(l(k))? 40*k**4 Let m(w) be the first derivative of -2*w**3/3 - 20. Let i(z) = -7*z - 5. Let h(s) = 20*s + 14. Let o(r) = -5*h(r) - 14*i(r). Give m(o(b)). -8*b**2 Let b(i) = -630*i**2. Let a(d) = -1092*d**2 + d. Determine a(b(j)). -433414800*j**4 - 630*j**2 Let k(c) = -12*c**2 + 171*c - 2. Let h(g) = -2*g**2. Determine k(h(a)). -48*a**4 - 342*a**2 - 2 Let y(c) = -c**2 + 7*c**2 + 0*c**2. Let b(k) be the second derivative of k**5/30 + 3*k**2/2 + 7*k. Let m(g) be the first derivative of b(g). Give m(y(i)). 72*i**4 Let f(h) = 27*h - 12. Let w(j) = -23*j + 10. Let y(l) = 5*f(l) + 6*w(l). Let p(k) be the third derivative of -k**5/5 - k**2. Calculate y(p(q)). 36*q**2 Let a(t) = 70*t**2. Let k(o) = -o**2 + 7*o. What is k(a(g))? -4900*g**4 + 490*g**2 Let f(o) = 71*o + 12. Let n = -22 + 30. Let c be f(n). Let h(m) = -c - 3*m + 580. Let x(g) = 4*g**2. What is h(x(i))? -12*i**2 Let n(m) = -2*m. Let u(v) = -19949*v**2 - 10*v. Give n(u(r)). 39898*r**2 + 20*r Suppose 0 + 2 = u. Let j be (1 - 6/2) + 4. Let b(f) = -j + 3*f**2 + u + 0. Let w(v) = -5*v. Calculate w(b(l)). -15*l**2 Let u(s) = 164*s**2 + 1. Let h(w) = 385*w. What is u(h(f))? 24308900*f**2 + 1 Suppose 0 = 48*x - 49*x + 10. Let h(n) = 3*n - 14*n + x*n. Let m(k) = 7*k. What is m(h(i))? -7*i Let r(s) = -76*s + 167*s - 105*s. Let c(p) = 28*p**2. Determine r(c(y)). -392*y**2 Let v(n) = -2*n. Let p(g) = -152*g**2 + 48*g - 48. Let d(j) = -16*j**2 + 5*j - 5. Let b(t) = 48*d(t) - 5*p(t). Calculate v(b(i)). 16*i**2 Let l(m) = -851*m**2. Let p(i) = 2*i**2 + 118. What is p(l(w))? 1448402*w**4 + 118 Let s(x) = 5*x. Let z = 29 - 26. Let n(o) = 2*o. Let t(w) = z*s(w) - 8*n(w). Let d(c) be the third derivative of -c**4/12 + c**2. Give d(t(j)). 2*j Let z(l) = -309847*l**2. Let c(o) = -2*o. What is c(z(p))? 619694*p**2 Let t(m) = 48*m. Let s(g) be the third derivative of -g**5/60 - 6*g**2 - 24. What is t(s(f))? -48*f**2 Let q(t) = -2*t**2 + 1267*t - 1267*t. Let z(f) = -3*f**2 + 3. Determine z(q(c)). -12*c**4 + 3 Let r(w) = 6*w. Let k(s) be the first derivative of -9*s**2 - 158. Give r(k(o)). -108*o Let t(h) = -153178*h**2. Let q(b) = 13*b. Determine t(q(w)). -25887082*w**2 Let y(t) = 2*t. Let m(c) = c**2 + 7*c + 3. Let w be m(-7). Suppose -4*p + 28 = -4*h, p = 2*h - w*h + 5. Let x(g) = 2*g**2 + 7 - 1 - p. Determine x(y(u)). 8*u**2 Let c(n) = 236*n. Let q(z) = z - 4424. Give q(c(k)). 236*k - 4424 Let d(a) = -a. Let c(n) = -n**2 + n - 1. Let x(t) = 9*t**2 + 49*t - 51*t + 2 + 0. Let k(v) = -2*c(v) - x(v). What is k(d(y))? -7*y**2 Let w(y) = 2716*y. Let l(n) = -n - 12. Give l(w(j)). -2716*j - 12 Let v(p) = -8*p**2. Let f = -57 + 113. Let h(z) = 56 - 2*z - f. Calculate v(h(s)). -32*s**2 Let t(v) = -2*v**2 - 13*v**2 + v**2. Let q(c) be the first derivative of -c**5/120 - 7*c**3/3 + 2. Let l(y) be the third derivative of q(y). Determine l(t(j)). 14*j**2 Let f(v) = v - 6. Let s be f(6). Suppose 14*k - 11*k - 9 = s. Let h(y) = 10*y - k*y - 4*y. Let w(n) = -4*n. What is w(h(z))? -12*z Let u(f) = f**2. Let p(s) = -37199*s. What is p(u(m))? -37199*m**2 Suppose 5*b + 4*l + 6 = 0, b + 2*l + 10 = -l. Let r(w) = 8*w - 11*w + b*w - 11*w. Let q(g) = g**2. Give r(q(u)). -12*u**2 Let j(g) = 3 + 12*g**2 - 3. Let v(h) = h - 60. Let l(t) = t - 50. Let p(b) = -6*l(b) + 5*v(b). Give p(j(m)). -12*m**2 Let d(v) = -4*v**2. Let x(f) = 799*f + 187. Let y(z) = -17*z - 4. Let i(p) = -4*x(p) - 187*y(p). What is i(d(n))? 68*n**2 Let l(c) = -c**2. Let d(v) = -58765*v**2. What is d(l(m))? -58765*m**4 Let b(c) = -c**2. Let k(u) = 2*u + 225897. Give k(b(h)). -2*h**2 + 225897 Let y(v) = 12*v**2. Let b(p) = -p**2 + 29*p + 256. Let d be b(36). Let s(z) be the second derivative of 0 + 1/6*z**d - 3*z + 0*z**2 + 0*z**3. Determine y(s(u)). 48*u**4 Suppose 2*z = -0*o - 3*o + 62, -o + 4 = 4*z. Suppose -4*v - 8 + o = 0. Let d(r) = -v*r**2 + r**2 + r**2. Let h(n) = -3*n. Calculate h(d(m)). 6*m**2 Let k(t) = 3*t. Let v be 8 - (-3 + 11)/1. Let q(s) be the first derivative of 0*s**2 + v*s - 3 - 1/3*s**3. What is k(q(c))? -3*c**2 Let b(w) = 3*w**2 - w**2 - 16*w + 16*w. Let n(a) = -2*a + 149 - 294 - a + 144. Calculate n(b(y)). -6*y**2 - 1 Let o(m) = -3*m. Suppose -5*g + 0*g - q = -2023, -4*g + 1628 = 4*q. Let l(d) = -g*d + 404*d - 7*d**2. Give l(o(i)). -63*i**2 Let v(k) = -147897*k**2. Let a(l) = -l**2. What is a(v(g))? -21873522609*g**4 Let i(n) = 2*n**2. Let s(b) be the first derivative of -9*b**2/2 - 3. Let p = 1 + -7. Let o(v) = 4*v. Let f(c) = p*s(c) - 13*o(c). Calculate i(f(x)). 8*x**2 Let r(s) = -4 + 14*s - 12*s + 4 + 127*s**2 - 107*s**2. Let c(w) = 7*w**2 + 5. Let z(x) = 8*x**2 + 6. Let i(t) = -6*c(t) + 5*z(t). What is i(r(m))? -800*m**4 - 160*m**3 - 8*m**2 Let u be (-9)/(-54) - 34/(-12). Let a(p) = 2*p - 4*p + p + u*p. Let s(l) = -6*l**2. What is a(s(w))? -12*w**2 Let b(z) = -12*z**2 - 10*z. Let r(p) = -p**2 - p. Let i(u) = b(u) - 10*r(u). Let x(j) = -24*j**2 + 2*j. Give i(x(d)). -1152*d**4 + 192*d**3 - 8*d**2 Let p(j)
{ "pile_set_name": "DM Mathematics" }
24 = -0*x, 3*w = x + 28. Suppose 4*b + 23 = a, 0*b = 3*b + 15. Solve 2*v = n - w, n = -3*v - a*n - 23 for v. -5 Suppose 3*b + b = 0. Suppose 0 = -3*s - b*s + 12. Let y = 25 - s. Solve y = 4*z - 2*d - d, 2*z - 3*d - 15 = 0 for z. 3 Let d(w) = 7*w**2 + 3 - 2*w - 6*w**2 + 10*w. Let u be d(-8). Solve -17 = -3*i + k, -u*i + 0*k - 5*k - 13 = 0 for i. 4 Let w be (-132)/(-28) - 8/(-28). Solve 4*f = w*b - b, 4*b + 30 = -2*f for b. -5 Let c(d) = -2*d - 9. Let y be c(-7). Suppose 0*q + q = y. Let w(s) = s**3 - 6*s**2 - 6*s + 4. Let z be w(7). Solve 4*x - q*p - 10 - 12 = 0, p + z = 3*x for x. 3 Suppose -2*d - d = -21. Let i = -3 + d. Solve 3*f + 5*k + 21 = 2*k, -12 = -4*f + i*k for f. -2 Let s = -8 - -6. Let f(n) = n**2 + n + 2. Let d be f(s). Solve -2*b = -4*k - 0*b - 8, -2 = -2*k + d*b for k. -3 Let g(d) = d - 4. Suppose 4*t = -5*w + 23 + 25, t = -5*w + 42. Let f be g(w). Solve 2*p + 6 = -f*u, -5*u - 14 = 2*p - 4 for u. -4 Let z(l) = -2*l. Let u be z(-1). Let k be u/6 + 16/6. Solve k*n = -4*g + 27, -5*n = 2*g - 0*g - 31 for n. 5 Let v be (-50)/4*8/(-10). Let x be v/(-1 + -1 - -4). Suppose 5*y + 0*y = 0. Solve j - x = 0, -s - 4*j - 8 + 33 = y for s. 5 Let c(t) = t**2 - 19*t + 21. Let q be c(18). Solve -3*l - q*y = 15, -l - 13 = 4*l + y for l. -2 Let d = -34 + 36. Solve 0 = -d*v - 4*t + 2, -5*v = -3*t + 10 - 2 for v. -1 Let s(w) = -w**2 - 4*w - 2. Let z be s(-2). Let r = z - -2. Suppose 9 - 3 = 3*f. Solve 2*p = -2*y - f, 0 = y - r*y + p - 7 for y. -2 Let a = 18 + -22. Let v(w) = w + 4. Let j be v(a). Solve 2*m + 3*y = 4, m + 2*m - 2*y - 19 = j for m. 5 Let c = -11 - -13. Suppose 4*b + 8 = -0. Let p be ((c - 2)/b)/(-2). Solve 2*w + 9 = 2*a + 5*w, -2*a + 4*w - 12 = p for a. 0 Let c(q) = -q**3 + q**2 - q + 4. Let k be c(0). Let t be 2/4 + 6/k. Solve 3*a - 15 = 0, 8 = -t*s + a + 3 for s. 0 Suppose -5*z - 5 = 4*b, 3*z - 5 = -20. Let p = 2 - -3. Suppose 3 = 2*w - p. Solve -b*x + 2*j + j = -20, -w*j = 3*x + 17 for x. 1 Let z be (-4)/(3 + -1) - -4. Suppose z*m = -3*h - 5, 5*m + 3*h + 1 + 7 = 0. Let s be 8/((-1)/(m/2)). Solve 3*k + j = 3, 5*k - 15 + 3 = -s*j for k. 0 Suppose 7*d = 4*d + 153. Let r = d - 33. Solve -2*i + r = -5*v, 5*i + 17 = -4*v - 4 for i. -1 Suppose 4*x + 2 = 3*x. Let f = x + 5. Solve 1 + 4 = -f*p + b, 4*b = 2*p - 10 for p. -3 Suppose -4*r = -u - 5 - 7, 0 = r - 5*u + 16. Solve 2*s - 1 + 3 = -2*h, 5*h + 3 = -r*s for h. 1 Suppose 0 = 22*t - 21*t - 6. Solve -w + 5*h + t = 2*w, 4*h + 3 = 3*w for w. -3 Suppose -3*u - u + 2*m + 14 = 0, 2*u - 5*m = 19. Solve -1 = u*r - s + 1, 4*s - 4 = 4*r for r. -1 Suppose 5*l - 2*l - 13 = -4*y, 0 = -5*l + y + 60. Solve -h = -2*a - 2*a - 7, -5*a = -2*h + l for a. -1 Suppose -4*g - 2 = -4*d - 30, 0 = 5*g - d - 23. Solve -g*o + 36 = -4*l, 2*l - 5*l - 37 = -5*o for l. -4 Let g be 6 + 2 + -2 + -1. Solve -g*m = -5*d + 20, 2*d + 3*m - 4*m = 6 for d. 2 Let w(k) = -k**2 + 4*k - 3. Let p be w(2). Let o = p + -3. Let y be (1/o)/((-4)/216). Solve 3*g = h - 14, 2*g - 2*h = 7*g + y for g. -5 Let l be -1*2/((-6)/33). Solve -b + 4*y = 2*b - 2, 3*y = -4*b + l for b. 2 Suppose 0 = -12*b + 25 + 35. Solve 3*o = b*k - 11, 3*k - k - 11 = -o for k. 4 Suppose 2 = 2*c - 18. Let m = 20 + -18. Solve m*a = 4*k - c, -5*a + 2 = -5*k + 4*k for a. 1 Let d(a) be the third derivative of a**6/120 - a**5/20 - a**4/12 - a**3/2 + 4*a**2. Let m be d(4). Solve -2*l - 3 + 7 = -h, 0 = -m*l + h + 7 for l. 1 Let b = 3 + -1. Suppose -6 = -b*y - y. Solve d = -3*x - d - 4, 3*x = y*d - 8 for x. -2 Let n be -4 + (-50)/(-12) + (-213)/(-18). Solve 6*l + 5*o - n = 3*l, -3*o = 2*l - 7 for l. -1 Let j be (-4)/(-6) - (-308)/6. Suppose -j - 93 = -5*l. Solve -l = -2*p + 5*p - 5*h, 0 = 4*p + 5*h - 8 for p. -3 Let k(p) = -p**3 - 10*p**2 + 9*p - 4. Let w be k(-11). Suppose 4*t - 3*r - w = -t, -3*t - 5*r = -4. Solve -30 = -z - 5*h, t*z = z + 2*h for z. 5 Let h = -100 + 105. Solve -5*x + 0*f - 2*f = 3, -x - h*f - 19 = 0 for x. 1 Suppose 5*t + 32 = -13. Let q be (-178)/t + 2/9. Solve 2*x - 4 = -5*v - 0*x, -q = -4*v + 4*x for v. 2 Let u(k) be the first derivative of k**3 + k + 1. Let y be u(-1). Let n = -9 - -16. Solve -3*b + n = 2*p, -p - 5*b + 15 = y*p for p. 2 Let o be -1*2/(0 - 1). Let t(k) = -2*k**2 - 5*k - 3. Let p(a) = a**2 + 3*a + 2. Let b(i) = 7*p(i) + 4*t(i). Let d be b(o). Solve d*g = -3*g, g = 3*s for s. 0 Let a = 41 - 39. Solve 6 = -a*u, 5*n + 5*u - 11 = 2*u for n. 4 Suppose -2*r = -2*f - 3*r - 11, -2*r = -4*f - 34. Let s = f - 13. Let y = 38 + s. Solve -4*h - 20 = -3*o, 5*h + 7 = -5*o - y for h. -5 Suppose o - n - 1 = n, 0 = -4*o - n + 22. Solve -o*t + z - 18 = 0, 4*t + z + 12 = -6 for t. -4 Let z = -65 - -69. Solve 2 = -4*a + a - 2*s, z*a = 3*s + 3 for a. 0 Let l(u) = -u**2 + 11*u - 6. Let z be l(10). Suppose 30 + 0 = 3*q. Solve -z*c - 2*g = 3*g + 45, q = -c - g for c. -5 Let q be 96/(-9)*(-3)/2. Let a = -14 + q. Solve 1 + 10 = 3*x - a*w, 3*x + 17 = -5*w for x. 1 Let a be 4 - 6 - (-1 - 6). Solve -k + 10 = 2*p, 34 = 5*p + a*k + 9 for p. 5 Let n = 22 + -14. Suppose 4*c + 3*m = 5*m + 10, -2*c = 5*m + 1. Solve 5*i + 2*w = -19, -c*i - w + 1 - n = 0 for i. -5 Let s = 3 + -1. Let y = 64 - 57. Solve r - y = -6*l + 3*l, -s = -2*l for r. 4 Suppose -3*s + s + 9 = c, 0 = -s + 4*c + 9. Solve s*x - 35 = -4*a, -5*a - x = x - 31 for a. 5 Let f(d) = -d**3 + 6*d**2 + 2*d - 10. Let t be f(6). Suppose 3*r = r + 50. Solve 4*n + n - p + r = 0, 10 = -5*n - t*p for n. -4 Suppose 5*r - 75 = -0*r. Suppose -5*d = r, -3*d - 27 = -3*f - 8*d. Let u be 4/14 + 24/f. Solve 12 = w - 5*w, 0 = -3*q - u*w - 15 for q. -3 Let s = 3 - -1. Let d(a) = -a + 6. Let t be d(s). Let u = 1 - 1. Solve m + u + 2 = -v, -2 = -t*m for v. -3 Suppose -2*y + 100 = 3*y. Suppose 3*r = -r + y. Solve -r*g = 0, 0*z = 5*z + g for z. 0 Suppose -3*w + 15 = -w - 3*x, 2*w + 4*x + 6 = 0. Solve -w*l - 5*c = 34, -2*l - 5*c - 15 - 16 = 0 for l. -3 Suppose -3*n = n. Solve -5*h = -z - 3, n = -2*h + 4*h for z. -3 Let w = -3 - -6. Suppose 8*q - w*q - 30 = 0. Solve -q = k + 5*a, a + 11 = 2*k + 1 for k. 4 Let u = 17 + -13. Solve 3*h - q + 0*q = 10, 0 = -u*h + 4*q for h. 5 Let x = -2 + 2. Suppose q + q = x. Suppose -2*a + 6 = -q*a. Solve 3*s = a*g - 2*g + 11, 31 = 3*s - 5*g for s. 2 Let s(l) = l**3 - 15*l**2 + 12*l + 30. Let v be s(14). Solve -5*j + 20 = 4*h, -v*j - 3*h = -14 - 1 for j. 0 Let r be 15/5 + (-1 - 0). Solve s = 3*b + 4, -s + 4*s + 10 = -r*b for b. -2 Let m = 30 + -24. Suppose 0*s - 110 = -5*s. Solve h = 5, -m*k = -2*k + 2*h - s for k. 3 Let c be (-72)/6*2/(-3). Solve -4*y = y - 2*t - 28, 0 = 5*y + 3*t - c for y. 4 Let c be (7/(-21))/((-2)/12). Let i be (-14)/(-1*c*1). Solve -5*g = 5*d + 15, -5*g - 3*d - 24 = -i*d for g. -4 Let i = 16 - 14. Suppose 0 = 5*m + i - 17. Solve 5*d = -3*w + 4, -5*w = -m*d - 17 - 1 for w. 3 Let j be -112 + 5 - (-1 - 0). Let p = j - -43. Let v be 1/(-4) - p/12. Solve 5*y + 4*a - 16 = 0, -4*a - a + 15 = v*y for y. 4 Let u(b) = 6*b - 28. Let c be u(7). Solve -5*s - 3*j = -c - 5, -3*s = -3*j - 21 for s. 5 Let x = 3 + -6. Let y be 2/(-4)*(0 + 4). Let k be 6 - ((-12)/x + y). Solve -r + 9 = -k*w, -3*r - w = -4*w for r. -3 Let c = 1 - -1. Let m = -5 - -5. Suppose m = -z + c*z - 3, -3*w + 2*z = -9. Solve -w*l = -2*q + 4 + 19, -2*l - 2*q = 12 for l. -5 Let c(k) = k**2 + 7*k + 9. Let r be c(-6). Suppose r - 1 = j. Solve 5*t - j*m - 3 + 15 = 0, t - 3*m = 8 for t. -4 Let x = 0 + 2. Suppose -x*t - 3*r - 4 + 3 = 0, 3*t + 3*r = 3. Solve 0 = -4*h - t, 4*k - 2 = 5*k + 4*h for k. 2 Let c(b) = -4*b + 10. Let u be c(2). Solve o - m + 13 = u*m, -3*m = -15 for o. 2 Let c be (28/12)/((-3)/(-18)). Solve 2*m = 3*j + m + c, -4*j + 4*m = 16 for j. -5 Let o be (1 - 23) + 2/1. Let m be 25/o*4/(-1). Solve -5*z + 4*s = -3*z, 4*z - m*s + 6 = 0 for z. -4 Let z = -15 - -21. Suppose 23 = 5*b - 7. Suppose -z*v + 3*v + b = 0. Solve -5*j = 2*f + 15, 0 = -3*f - 0*j - v*j + 5 for f. 5 Let v(o) = 6 + 2*o**2 - 2*o**2 + 6*o + 6*o**2 - 5*o**2. Let c be v(-5). Solve 2*s = -5*d + 35, d - 5*s + 21 = c for d. 5 Let a be (6/8)/((-15)/(-80)). Solve 0 = -4*m - 2*t + 4 - 12, -2*t + a = 0 for m. -3 Let h(f) = f**3 - 2*f**2 - 2*f - 1. Suppose -6 = -4*y + 10. Let j be h(y). Solve 4*w + 2 = 5*n - 15, -j = -3*n - 4*w for n. 5 Suppose -4*f = -2*m - 8, -3 = -f - 4*m + 8. Let y = -29 - -21. Let d = -6 - y. Solve -3*p - d = 4*w + f, -w = 4*p + 11 for p. -3 L
{ "pile_set_name": "DM Mathematics" }
Determine u so that u**3 - 147*u**2 + 1379*u - 1233 = 0. 1, 9, 137 Solve y**2/3 + 609094*y/3 + 92748875209/3 = 0 for y. -304547 Let -2*a**5/5 - 268*a**4/5 + 2532*a**3/5 - 5968*a**2/5 + 5422*a/5 - 1716/5 = 0. What is a? -143, 1, 6 Solve 3*a**3/2 + 1476*a**2 + 20427*a/2 - 43965 = 0 for a. -977, -10, 3 Let -2*b**2/7 + 484*b/7 - 21594/7 = 0. Calculate b. 59, 183 Factor 4*i**4 - 19360*i**3 + 23464288*i**2 - 93624960*i + 93547584. 4*(i - 2418)**2*(i - 2)**2 Find v, given that 5*v**2/3 + 1050*v = 0. -630, 0 Solve 16*l**5/5 + 112*l**4 - 1356*l**3/5 - 6176*l**2/5 + 6908*l/5 - 1776/5 = 0. -37, -3, 1/2, 4 Find f, given that -2*f**4 - 30*f**3 + 402*f**2 - 706*f + 336 = 0. -24, 1, 7 Solve -8*m**2/7 + 17614*m/7 + 4404/7 = 0. -1/4, 2202 Suppose -4418*g**5/7 + 640046*g**4/7 + 2688946*g**3/7 + 4185082*g**2/7 + 2885600*g/7 + 745000/7 = 0. Calculate g. -50/47, -1, 149 Let 2*q**2/5 - 375384*q/5 + 17614143432/5 = 0. What is q? 93846 Factor -74241*o**3 + 296962*o**2 - 296956*o - 8. -(o - 2)**2*(74241*o + 2) Let b**3 + 26*b**2 - 487*b - 2960 = 0. What is b? -37, -5, 16 Factor 4*s**2 + 79496*s + 394975876. 4*(s + 9937)**2 Factor -i**2 - 13813*i - 27622. -(i + 2)*(i + 13811) Factor j**4/4 - 97*j**3/4 + 93*j**2/2 + 97*j - 190. (j - 95)*(j - 2)**2*(j + 2)/4 Factor g**2/9 - 371*g/9 + 6688/9. (g - 352)*(g - 19)/9 Solve -g**3 - 1229*g**2/2 + 16943*g/2 - 4082 = 0 for g. -628, 1/2, 13 Factor -4*s**2 + 86432*s - 86428. -4*(s - 21607)*(s - 1) Factor -4*y**3 + 1432*y**2 - 105764*y - 4171888. -4*(y - 193)**2*(y + 28) Determine z, given that 1362420*z**5 + 42759108*z**4 + 57111056*z**3 + 15466240*z**2 - 247168*z + 960 = 0. -30, -1, -2/5, 2/261 Factor 2*z**5/3 + 524*z**4/3 - 1054*z**3/3 + 176*z**2. 2*z**2*(z - 1)**2*(z + 264)/3 Factor 9*x**2 - 336039*x + 224022. 3*(x - 37337)*(3*x - 2) What is n in -n**3/5 - 40*n**2 - 3008*n/5 - 11776/5 = 0? -184, -8 Find m, given that -m**3 + 952*m**2 + 15424*m + 61952 = 0. -8, 968 Determine f so that -2*f**2/5 - 192*f/5 - 3886/5 = 0. -67, -29 Determine o, given that -o**3/2 + 732*o**2 - 2909*o/2 - 10965 = 0. -3, 5, 1462 Suppose 8*v**3 - 5796*v**2 + 2591961*v/2 - 184339957/2 = 0. What is v? 703/4, 373 Determine o so that -2*o**2/3 - 192308*o = 0. -288462, 0 Factor -2*t**5/13 - 374*t**4/13 + 2292*t**3/13 - 4616*t**2/13 + 3088*t/13. -2*t*(t - 2)**3*(t + 193)/13 Factor -5257*g**2/2 + 5253*g/2 + 2. -(g - 1)*(5257*g + 4)/2 Factor -2*z**2/3 + 19130*z/3 - 139964. -2*(z - 9543)*(z - 22)/3 Factor 4*l**3 - 5908*l**2 + 82124*l - 286748. 4*(l - 1463)*(l - 7)**2 Suppose -5*y**4 + 1260*y**3 - 4885*y**2 - 18690*y + 22320 = 0. Calculate y. -3, 1, 6, 248 Find k, given that -25*k**4 - 1155*k**3 - 65421*k**2/4 - 139293*k/2 - 363609/4 = 0. -201/10, -3 Let -b**3/5 + 4*b**2 + 43*b/5 + 22/5 = 0. What is b? -1, 22 Factor -v**2 + 33414*v - 279123849. -(v - 16707)**2 Find k such that -5*k**4 + 310*k**3 - 360*k**2 - 14400*k = 0. -6, 0, 8, 60 Factor -5*o**2 - 2290*o - 4560. -5*(o + 2)*(o + 456) Let -26*o**5/9 + 242*o**4/9 + 188*o**3/9 - 80*o**2/9 = 0. What is o? -1, 0, 4/13, 10 Find a such that -a**5 - 35*a**4 + 2*a**3 + 70*a**2 - a - 35 = 0. -35, -1, 1 Determine j, given that 10*j**3 - 2342*j**2 - 4252*j + 944 = 0. -2, 1/5, 236 Factor 2*d**3 + 52*d**2 + 176*d. 2*d*(d + 4)*(d + 22) Factor -5*v**2/4 + 689125*v - 94978653125. -5*(v - 275650)**2/4 Factor 267*l**3 - 537*l**2 - 795*l + 9. 3*(l - 3)*(l + 1)*(89*l - 1) Find n, given that 10353*n**2/4 - 5172*n - 9 = 0. -6/3451, 2 Solve -n**4 - 2136*n**3 - 1267254*n**2 - 135240840*n - 4008789225 = 0 for n. -1005, -63 Factor 3*f**2/5 + 42*f - 52632/5. 3*(f - 102)*(f + 172)/5 What is l in 5*l**4/9 - 1148*l**3/3 - 14534*l**2/9 - 4388*l/3 - 231 = 0? -3, -1, -1/5, 693 Solve -16*p**3/9 + 4844*p**2/9 - 114400*p/3 - 400192 = 0. -37/4, 156 Factor 2*b**2/21 + 22436*b/21 - 22478. 2*(b - 21)*(b + 11239)/21 Suppose 2*z**5/3 + 96*z**4 - 4286*z**3/3 + 21524*z**2/3 - 14680*z + 31600/3 = 0. Calculate z. -158, 2, 5 Suppose 2*w**5/7 + 396*w**4/7 + 1168*w**3/7 - 396*w**2/7 - 1170*w/7 = 0. What is w? -195, -3, -1, 0, 1 Factor 5*a**2/2 - 625*a/2 - 6435. 5*(a - 143)*(a + 18)/2 Factor -m**2 + 122*m + 1320. -(m - 132)*(m + 10) Factor -2*l**3/9 - 3836*l**2/9 - 1820032*l/9 + 18585920/9. -2*(l - 10)*(l + 964)**2/9 Factor 3*j**3 + 939*j**2 - 8634*j + 19320. 3*(j - 5)*(j - 4)*(j + 322) Solve -10*i**5 - 335*i**4/3 + 6785*i**3/3 + 10500*i**2 + 36260*i/3 + 5200/3 = 0. -20, -2, -1/6, 13 Factor -z**2/5 - 78046*z/5 - 1522794529/5. -(z + 39023)**2/5 Determine t so that -3*t**3 + 74184*t**2 + 2227545*t + 16711650 = 0. -15, 24758 Factor 3*d**5/2 - 117*d**4 - 483*d**3 - 732*d**2 - 981*d/2 - 123. 3*(d - 82)*(d + 1)**4/2 Find o, given that -8*o**2 - 261598*o + 65400 = 0. -32700, 1/4 Find r such that -33*r**5/5 + 138*r**4/5 + 1401*r**3/5 + 582*r**2/5 - 2808*r/5 = 0. -4, -2, 0, 13/11, 9 Factor u**2/2 + 49419*u/4 + 24709/4. (u + 24709)*(2*u + 1)/4 Determine j, given that 4*j**2 + 712*j - 7520 = 0. -188, 10 Suppose t**3/11 - 4122*t**2/11 + 4119*t/11 + 8242/11 = 0. What is t? -1, 2, 4121 Factor -3*f**2 - 6543*f - 84552. -3*(f + 13)*(f + 2168) Factor -5*o**2/6 - 59225*o/2 + 88840/3. -5*(o - 1)*(o + 35536)/6 Let -5*s**5/4 + 277*s**4/4 - 185*s**3/2 - 109*s**2 + 54*s = 0. Calculate s. -1, 0, 2/5, 2, 54 Factor 2*a**2/9 + 9226*a - 83036/9. 2*(a - 1)*(a + 41518)/9 Factor 7*x**2/6 + 1205*x/3 + 344/3. (x + 344)*(7*x + 2)/6 What is b in -b**2/6 - 721*b/6 - 1185 = 0? -711, -10 Determine c, given that -c**4/5 - 288*c**3 - 514053*c**2/5 + 3136374*c/5 = 0. -723, 0, 6 Solve 68*b**5/7 + 9196*b**4/7 + 7944*b**3 + 16912*b**2 + 95072*b/7 + 16512/7 = 0 for b. -129, -2, -4/17 Determine w so that -w**2 + 20*w + 1421 = 0. -29, 49 Factor -4*l**3 - 2540*l**2 - 401952*l + 404496. -4*(l - 1)*(l + 318)**2 Factor -5*r**2 + 32630*r. -5*r*(r - 6526) Suppose -504*s**3/5 - 9092*s**2/5 - 41184*s/5 - 324 = 0. What is s? -9, -5/126 Factor 4*k**4 - 5768*k**3 + 2090832*k**2 - 8242616*k - 10339220. 4*(k - 719)**2*(k - 5)*(k + 1) Factor 2*p**2/9 + 7774*p/9 + 7768/3. 2*(p + 3)*(p + 3884)/9 What is c in 3*c**3 - 65847*c**2 + 4073865*c - 63100221 = 0? 31, 21887 Factor -147*d**2 - 5442*d - 111. -3*(d + 37)*(49*d + 1) Factor -c**2/2 - 149*c/2 + 465. -(c - 6)*(c + 155)/2 Suppose 12*g**4 + 273*g**3 + 1131*g**2 - 3900*g + 900 = 0. What is g? -15, -10, 1/4, 2 Solve -h**2 - 505*h - 5434 = 0 for h. -494, -11 Factor -64*o**4 - 4752*o**3 - 121980*o**2 - 1182275*o - 2572125. -(o + 3)*(4*o + 95)**3 Suppose -o**2 - 69*o - 1134 = 0. Calculate o. -42, -27 Let 6*l**3/5 + 105894*l**2/5 = 0. What is l? -17649, 0 Find o such that -3*o**3 - 8745*o**2 + 353400*o - 3546000 = 0. -2955, 20 Factor -4*r**2 + 13288*r + 26592. -4*(r - 3324)*(r + 2) Factor o**4/4 + 163*o**3/8 + 30*o**2. o**2*(o + 80)*(2*o + 3)/8 Find z, given that 5*z**4 - 200*z**3 + 655*z**2 + 7400*z + 10500 = 0. -3, -2, 10, 35 Factor -5*d**3 - 240*d**2 + 4800*d + 256000. -5*(d - 32)*(d + 40)**2 Determine g, given that -3*g**2/7 - 99576*g/7 + 99579/7 = 0. -33193, 1 Let -2*k**4 + 50*k**3 + 878*k**2 + 4030*k + 5700 = 0. Calculate k. -5, -3, 38 Factor -5*i**5/3 - 100*i**4 - 1775*i**3 - 12650*i**2/3 + 84700*i - 159720. -5*(i - 3)**2*(i + 22)**3/3 Factor -3*h**2/4 - 735*h/4 - 4851/2. -3*(h + 14)*(h + 231)/4 Determine p, given that -4*p**5 + 216*p**4 - 188*p**3 - 1272*p**2 = 0. -2, 0, 3, 53 Find x, given that 35*x**3/4 + 3665*x**2/2 + 93545*x - 252810 = 0. -106, 18/7 Factor -3*x**3 + 2274*x**2 - 325563*x - 42134640. -3*(x - 419)**2*(x + 80) Factor -c**3/2 + 1273*c**2/2 + 637*c. -c*(c - 1274)*(c + 1)/2 Factor -2*t**3 + 7264*t**2 - 416266*t + 6011468. -2*(t - 3574)*(t - 29)**2 Factor r**3 + 725416*r**2 - r - 725416. (r - 1)*(r + 1)*(r + 725416) Suppose o**2 + 905656*o + 905655 = 0. Calculate o. -905655, -1 Determine s so that -6*s**5 - 386*s**4/7 - 1290*s**3/7 - 1870*s**2/7 - 1068*s/7 - 144/7 = 0. -3, -2, -1, -4/21 Factor 2*a**2/9 + 60112*a/3 + 180334/9. 2*(a + 1)*(a + 90167)/9 Factor 2*z**3 - 16656*z**2 + 34711080*z - 138577952. 2*(z - 4162)**2*(z - 4) Determine w, given that -4*w**4 + 16816*w**3 + 50472*w**2 + 50480*w + 16828 = 0. -1, 4207 Solve -2*z**3/17 - 2988*z**2/17 - 1202880*z/17 - 63569344/17 = 0. -716, -62 Factor 4*h**3 + 579692*h**2 + 21002386080*h - 21002965776. 4*(h - 1)*(h + 72462)**2 Let -4*j**3 - 28*j**2 + 56*j + 192 = 0. Calculate j. -8, -2, 3 Determine x so that x**3
{ "pile_set_name": "DM Mathematics" }
est to l in 0.2, -24, -0.5? 0.2 Let p = -26.7 + 162.7. Let y = p + -135.92. What is the closest to y in 1/3, 0.4, 2? 1/3 Let q(x) = 13*x + 5. Let r be q(-3). Let l be 7/35 + r/20. Let s be 30/56 + 4/(-16). Which is the nearest to s? (a) l (b) 4 (c) 0.3 c Let x = 0.8 + -14.8. Let k = 14 + x. What is the closest to 2/5 in -5, 0.2, k? 0.2 Let o = 2 + -3. Let g = 194 + -73. Let x = g + -607/5. What is the nearest to o in 0.03, x, 0? x Let d = -34.43 + 34. Let g = d + 0.62. Let o = g - 0.49. What is the closest to -3/5 in 2, o, -3? o Let z = 192 - 188. Which is the closest to -2/5? (a) z (b) 1/2 (c) -1.4 b Let h be 2/(-4) - 39/(-42). Let o = -83.62 - -16.72. Let z = o + 67. Which is the closest to z? (a) -0.4 (b) 3 (c) h c Let h be 6/(-8)*4/12. Which is the closest to h? (a) -0.4 (b) -5/2 (c) -5 (d) -6 a Let q = -0.89 + -0.01. Let n = 191 + -192. Let m = q - n. Which is the nearest to 2/13? (a) m (b) 2 (c) 2/3 a Let f = -7/36 - -85/252. What is the closest to -3 in 0, 2/9, f? 0 Let q = -28 + 41. Let c = q - 12. Let g = 0 + 0.1. What is the closest to g in c, 0, 1/4? 0 Let b(z) = -18*z**2 + 197*z + 18. Let v be b(11). Let c = 3 + -1. What is the nearest to 0.1 in c, v, -2/9? -2/9 Let r(g) = -7*g**2 + 1. Let s be r(1). Let v be (-18)/(-12)*(-4 + 6). Let o be -1*(1/(-3) - -1). Which is the closest to s? (a) o (b) -3/4 (c) v b Let v = -0.15 + 0.07. Let f = 878.2 + -878. What is the nearest to -1 in f, 0.1, v? v Let s be (4/(-54))/((-22)/231). Let j = 1 - s. Let p = 6.3 - 6. What is the closest to p in -2/5, j, -2? j Let s be ((-2)/2)/((0 + -3)/(-6)). Let c be (s + -3)*3/9. What is the nearest to 0.1 in c, 5, -3? c Let y = -28 + 28.024. Let u = y - 0.024. What is the nearest to -0.1 in u, 4, -0.3? u Let c = -230 - -226. What is the closest to 1/4 in 1, c, 0? 0 Let s be 15/10*4/54. Let l = -3.5 - -3. Let h = 3.7 - 3.68. What is the closest to 2/5 in l, h, s? s Let u be 50/12 + (-195)/117. What is the closest to -0.1 in -4, u, -72? u Let b = 460.7 + -460.7. Let k(s) = s**2 + 10*s + 1. Let p be k(-10). What is the closest to -0.2 in b, p, -5? b Let s = -484/1743 - 2/249. Let n = -918.5 - -919. Which is the closest to -0.2? (a) n (b) -0.1 (c) s c Let n = -1/254 - -445/127. Which is the nearest to -2/9? (a) n (b) 4 (c) -3 c Let v = -7257/8 + 907. What is the nearest to 2 in 0, v, -4? 0 Suppose 3*d = 2*d. Let c = 519 - 517. What is the closest to c in 0.6, d, -0.4? 0.6 Let z = 910 - 926. Which is the nearest to z? (a) 4/9 (b) 5 (c) -5/6 c Let m = 27.4 + -27.4. Let d be -2 + -1 + 2 + 3. Which is the nearest to m? (a) -0.5 (b) d (c) 3 a Let i = 0 + 0. Let g be 405/(-243) + 11/3. Which is the closest to i? (a) 0.3 (b) g (c) 0.5 a Let o = 5.402 + -0.402. What is the nearest to 0.1 in 3, -5, o, -1/3? -1/3 Let c = 46 - 45. Let l be 6*(3 - 4) - -4. Let z = 8 - 12. What is the closest to -1 in z, c, l? l Let f = -20.983 + -0.017. Let u = f - -22. Which is the nearest to u? (a) 5 (b) 4/3 (c) -2 b Suppose 3*k + k = 140. Let x be (6/1)/(k/5 - 5). What is the closest to -0.8 in x, 4/9, -0.2? -0.2 Let y be 18/(-144)*(-2 + 0). Which is the closest to -3.9? (a) 2/3 (b) -0.2 (c) y b Let b = 10.57 + -10.57. What is the closest to 9 in b, 3, 1, -5? 3 Let f(n) be the third derivative of -n**4/24 + n**3/6 - 7*n**2. Let g be f(4). Which is the closest to -2? (a) -0.2 (b) 4 (c) g c Let f = 18 + -18. Let t be (-3)/(-6)*(-6)/15. Which is the closest to f? (a) t (b) 0.3 (c) 0.5 a Let i = 1.1 - 1. Let f = i - 0.1. Let x be (-7)/21*9/(-6). Which is the closest to f? (a) -2 (b) -0.1 (c) x b Let x = -4.99 + -0.01. Let g = -5.3 - x. Let j be (-51)/9 + 4*(-25)/(-20). Which is the nearest to j? (a) 1/3 (b) 2 (c) g c Let b = -0.3 + 0.5. Let s(c) = 11*c - 78. Let t be s(7). What is the closest to t in 5, b, -3/7? -3/7 Let w be (285/190 + 14/(-8))/(3/(-8)). Let p = -0.7 + 1. What is the closest to w in 3/8, -3, p? 3/8 Let q = -0.3 - -0.5. Let v be (-15)/3*1*-41. Let n = v + -1843/9. What is the nearest to -0.5 in n, q, -4? q Let q = -4 + 10. Let z = -11 + q. Let h = 238 + -234. Which is the nearest to 0.2? (a) h (b) z (c) -4 a Let z = 1045 + -1048. Let x = -22.69 + -0.31. What is the nearest to x in 0.1, 0.5, z? z Let c = -0.11 + 0.16. Let m = 0.05 - c. Let s = 0.21 + -0.61. What is the closest to m in s, -3, 0? 0 Let b = -449.5 - -449. What is the closest to -1/2 in 4, b, 3? b Let u be -2*((-22)/(-4) + -4). Let s = 10.02 + -10. Let g = s - -2.98. What is the closest to 4/7 in u, g, -5? g Let s be (-12)/27 - (-600)/135. Let p = -3 - -2. Let m = p + 1. Which is the closest to 3? (a) m (b) 3 (c) s b Let z = 18 + -13. Let l = 0 + z. Let r = 0.57 + -0.67. What is the nearest to r in 4, 2/19, l? 2/19 Let f be 1/((-34)/85 + (-6)/(-10)). Which is the closest to -3/2? (a) f (b) -2/11 (c) -2 c Let q = -0.02 + -1.98. Let b = q + 2.2. What is the nearest to b in -3, -5, 0.1? 0.1 Let r = 304 + -305. Which is the closest to r? (a) -2 (b) -1 (c) 0.3 b Let o = 1.221 + -0.421. Which is the nearest to 1/3? (a) -2 (b) 7 (c) -0.4 (d) o d Suppose 29*f - 23*f - 12 = 0. Let t = -1750 - -98013/56. Let n = t - -3/56. What is the nearest to 0 in n, f, 3? n Let f be 18 - 11 - (4 + -1). Let u be (-3)/(90/f)*-3. Let m = 593/2051 - 1/293. What is the closest to m in -0.3, 1, u? u Let z = -145 + 248. Let l = -103.1 + z. What is the nearest to l in -4, 3/4, -1.1? 3/4 Let i(w) = 2*w**2 - 60*w - 449. Let m be i(-6). Which is the closest to m? (a) 2 (b) 2/21 (c) -1/4 (d) -3/5 d Let n(o) = -6*o - 66. Let u be n(-11). Let w = -9.119 - -0.119. Which is the nearest to w? (a) 1 (b) u (c) -0.2 c Let c = 68 + -67.9. What is the nearest to c in -4/3, -18, 0.1, -4? 0.1 Suppose 34 = 3*y - 2*o - 9, -o = -2*y + 28. Let q = 9 - y. Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) q a Let f = -1 - -2. Let g = 126 + -122. Let l = g - f. What is the closest to 2 in -5, l, -0.1? l Let r = -91/123 - -3/41. Let b = 3414 - 3417. What is the closest to r in 4, -2/11, b? -2/11 Let c = 2 - -2. Let l be (-1)/c - 2/(-8). Suppose 0 = -155*h + 182*h - 54. What is the nearest to l in 0, -1/5, h? 0 Let o = -661 - -661. Which is the closest to -3? (a) 0.1 (b) 5 (c) o (d) 1 c Let o = -0.702 - -0.202. Which is the closest to -15? (a) o (b) -1/4 (c) 0.1 (d) 1 a Suppose -2*l + 7 = 5. Let z(y) = -5*y**2 + 5*y - 4. Let b be z(l). What is the closest to -2/5 in -3, b, 3/26? 3/26 Let k = -0.9 - -5.9. Let x = 128 + -129. What is the nearest to -1 in x, -3, k? x Let r = 0.37 - -34.63. Let z = -36 + r. Which is the closest to 7? (a) 4 (b) z (c) 1/10 a Let d = 0.13 - 0.43. Let g = -0.1 - -1.1. Let m = -4.9 + 4.7. Which is the nearest to m? (a) g (b) 5 (c) d c Suppose 2*v = 2*o + 32, 5*o + 309 = 314. Suppose -2*z + 34 = -0*z. Let y = z - v. Which is the closest to -1/8? (a) -3 (b) 5/4 (c) y c Let x = 6.96 - 7. Let g = x - -0.24. Let r = -5 + 1. What is the closest to -1 in g, r, -2/19? -2/19 Let u = 7.29 + 1.71. What is the closest to u in 1, -1, 5? 5 Suppose -199*l + 195*l = 5*c, -5*l = 0. What is the closest to 0 in c, -24/5, 2, -1/5? c Let z be (-425)/825 - 3/(-9). Which is the nearest to z? (a) 2 (b) -2/3 (c) -0.2 c Let q be (-48)/(-16) - 7*1. Let p = -8 - -8.02. Let m = 0.08 + p. What is the nearest to m in 0, q, 2? 0 Let y = -87/2 + 46. Let a be (-44)/(-60) - (-2)/(-5). Suppose -228 = -282*n + 168*n. What is the closest to a in n, -5, y? n Let q be 30/18 + (-204)/90. Which is the closest to 2/5? (a) 2/19 (b) q (c) -1 a Let g be (-2)/((60/25 - 4) + 2). Which is the closest to 0.1? (a) g (b) 0.3 (c) -3 (d) 5 b Let h = -19 + 12. Let j = 8.8 + -9. What is the nearest to h in j, -1, -5? -5 Let w = -3.5 + 3. Let d be (-4)/963*-3*6/(-4). Let v = d - 204/535. Which is the nearest to -1? (a) 0 (b) w (c) v b Let o = -25.5 + 24.5. Which is the nearest to -10? (a) -0.5 (b) o (c) 4 b Let j be (-1)/(-2)*(4 - 3). Suppose -23 - 257 = 56*n. Let s be (-1 - -1) + (-2)/8. What is the nearest to j in s, -2/9, n? -2/9 Let h = 467 + -492. Which is the nearest to h? (a) 5 (b) 0 (c) -0.3 (d) 1/4 c Let s = -44.5 - -66. Let j = s + -21. What is the nearest to 0 in j, -1/12, -4/5? -1/12 Let v = -13 + -44. Let m = 57.3 + v. Which is the nearest to -1? (a) -4/3 (b) -20 (c)
{ "pile_set_name": "DM Mathematics" }
ighest common divisor of 4399164 and 4312. 308 Calculate the greatest common divisor of 913 and 308394966. 913 What is the highest common factor of 548730 and 53937? 117 What is the greatest common factor of 26108780 and 40? 20 What is the greatest common divisor of 19022778 and 403? 31 What is the greatest common divisor of 17611 and 590392? 11 Calculate the highest common factor of 345441024 and 3456. 3456 What is the highest common factor of 948 and 605293576? 316 Calculate the greatest common factor of 40 and 20006408. 8 Calculate the greatest common divisor of 52 and 91958750. 26 What is the highest common factor of 1740 and 134116880? 580 What is the highest common divisor of 54929 and 18620? 931 What is the greatest common factor of 11986 and 24921199? 461 What is the greatest common divisor of 17407 and 722644? 169 Calculate the highest common divisor of 93317637 and 2121. 2121 Calculate the highest common factor of 97299 and 4801791. 1707 What is the highest common factor of 82212 and 34192938? 2418 Calculate the highest common divisor of 7236 and 62532. 108 Calculate the greatest common divisor of 15456681 and 432. 9 Calculate the highest common divisor of 216718230 and 240. 30 What is the highest common factor of 3255432 and 964752? 2424 Calculate the greatest common divisor of 3220842 and 62814. 2166 Calculate the highest common factor of 7 and 11716537. 7 What is the greatest common divisor of 7137030 and 150? 30 Calculate the highest common factor of 3734 and 5283128314. 3734 What is the greatest common factor of 1452 and 14863706? 22 Calculate the highest common factor of 1184 and 25892378. 74 What is the highest common factor of 550 and 19331650? 50 Calculate the greatest common factor of 4165 and 295120. 595 What is the highest common factor of 2 and 4583285? 1 Calculate the highest common factor of 494340 and 618156. 924 Calculate the highest common divisor of 11060 and 6066094. 158 Calculate the highest common divisor of 10087 and 3655162. 917 What is the greatest common factor of 64 and 59381504? 64 Calculate the highest common factor of 102789 and 48107439. 2187 Calculate the highest common divisor of 21 and 261136603. 7 Calculate the highest common divisor of 186416128 and 3584. 512 Calculate the greatest common factor of 387506 and 3827. 89 What is the highest common factor of 3555232 and 2651? 241 What is the highest common divisor of 83931260 and 9548? 868 What is the greatest common divisor of 30811935 and 2220? 555 What is the highest common factor of 1605350 and 6208? 194 What is the highest common factor of 49785339 and 190? 19 Calculate the greatest common factor of 2080 and 2851355. 65 What is the highest common divisor of 433 and 77468896? 433 Calculate the greatest common factor of 66357097 and 142. 71 What is the highest common factor of 24 and 555465784? 8 What is the greatest common divisor of 2181969 and 360? 9 What is the greatest common divisor of 60844650 and 592? 74 Calculate the greatest common factor of 584023635 and 15478. 7739 Calculate the highest common divisor of 55395306 and 3186. 54 Calculate the highest common factor of 1757322 and 22869. 189 What is the greatest common divisor of 588 and 110923680? 84 Calculate the greatest common divisor of 40318 and 2306614. 2122 What is the highest common factor of 3581067 and 529788? 2499 What is the highest common divisor of 49252 and 205072? 28 Calculate the highest common divisor of 11187 and 602403. 339 What is the greatest common divisor of 845 and 145778555? 845 What is the highest common factor of 388492012 and 20598? 6866 What is the greatest common divisor of 147693646 and 94? 94 What is the highest common divisor of 625 and 33000000? 625 What is the greatest common divisor of 11367130 and 570? 190 What is the greatest common factor of 6048 and 834813? 189 Calculate the greatest common factor of 444427410 and 21. 21 What is the greatest common divisor of 2691844 and 20? 4 Calculate the highest common factor of 186273158 and 706. 706 Calculate the highest common factor of 7084 and 37154292. 644 What is the greatest common divisor of 19858440 and 8? 8 What is the highest common divisor of 112 and 11696944? 112 What is the greatest common factor of 345465 and 155? 5 What is the highest common divisor of 28220310 and 2070? 2070 Calculate the highest common factor of 17806205 and 40. 5 What is the greatest common divisor of 891 and 5973? 33 Calculate the highest common divisor of 5295 and 1525. 5 What is the greatest common divisor of 2156 and 961664? 44 Calculate the highest common divisor of 728297 and 459. 17 Calculate the highest common divisor of 1179698 and 9227192. 7514 What is the highest common factor of 412 and 11548463? 103 Calculate the greatest common divisor of 648 and 21022944. 24 Calculate the greatest common divisor of 1479749 and 711. 79 Calculate the greatest common divisor of 454923 and 137448. 747 What is the highest common factor of 3866555 and 1003695? 4235 What is the greatest common divisor of 37211 and 6768007? 293 What is the greatest common divisor of 9893258 and 458? 458 What is the greatest common divisor of 1992 and 2348817? 249 Calculate the greatest common factor of 48 and 120519276. 12 What is the greatest common factor of 1071459 and 19125? 153 Calculate the highest common divisor of 1153812 and 55. 11 Calculate the greatest common divisor of 772027 and 5621853. 3401 What is the greatest common factor of 5396445 and 20? 5 What is the greatest common divisor of 39200425 and 275? 275 What is the greatest common factor of 43621 and 41992? 181 Calculate the highest common divisor of 16564 and 16002844. 404 What is the highest common divisor of 90041328 and 234? 234 What is the highest common factor of 2271 and 16504871? 757 Calculate the highest common factor of 374417 and 46. 23 Calculate the greatest common divisor of 1793937 and 68769. 849 Calculate the greatest common factor of 120431904 and 120984. 1704 Calculate the greatest common factor of 226287 and 423963. 2601 What is the greatest common divisor of 9371700 and 1430? 130 Calculate the highest common factor of 6076 and 606701. 31 Calculate the greatest common factor of 560 and 1023140. 20 Calculate the greatest common divisor of 99143 and 54791. 11 What is the highest common divisor of 380064 and 23902944? 10272 Calculate the highest common divisor of 5965272 and 594. 54 What is the highest common factor of 67643 and 931362? 391 Calculate the highest common factor of 129 and 104017. 43 Calculate the highest common factor of 30590048 and 144. 16 Calculate the highest common divisor of 6988797 and 1044. 261 Calculate the highest common factor of 6873 and 13764328. 2291 What is the highest common factor of 96937 and 4012? 59 Calculate the highest common divisor of 16 and 12244016. 16 Calculate the highest common divisor of 47993121 and 566. 283 What is the highest common factor of 26447400 and 1680? 840 What is the highest common factor of 59810 and 8390? 10 What is the highest common factor of 95779 and 198516? 71 What is the greatest common divisor of 721602 and 118818? 2898 Calculate the greatest common divisor of 1 and 71853036. 1 What is the greatest common factor of 325 and 9631258? 13 What is the highest common factor of 3 and 3186471? 3 What is the highest common factor of 1541386052 and 5484? 1828 Calculate the greatest common factor of 715 and 2906618. 143 Calculate the highest common divisor of 50005 and 4218915. 685 Calculate the greatest common factor of 139252796 and 892. 892 Calculate the greatest common factor of 89784420 and 55428. 1788 Calculate the highest common factor of 46692775 and 200. 25 Calculate the greatest common factor of 7287543 and 459. 459 Calculate the greatest common factor of 39 and 14268722. 13 What is the greatest common factor of 62816 and 45125444? 7852 What is the greatest common divisor of 13064216 and 132? 44 Calculate the greatest common factor of 254208854 and 2278. 2278 What is the highest common divisor of 16 and 1434544? 16 What is the highest common factor of 76288 and 58976? 32 Calculate the highest common factor of 42 and 38517934. 14 What is the greatest common divisor of 2501733 and 345? 69 Calculate the hig
{ "pile_set_name": "DM Mathematics" }
a(-48) a multiple of 45? True Let q(h) = 398*h + 4877. Is q(-4) a multiple of 15? True Suppose 0 = -2*a - 15*z + 16*z + 23, 3*z + 58 = 5*a. Suppose a*r + 1477 - 5272 = 0. Is 15 a factor of r? True Let t = -377 - -379. Suppose 2*o + 8 = 0, -t*g + 404 = -5*o - 1030. Is g a multiple of 36? False Let t(y) = -y**3 - 5*y**2 - y - 5. Let x be t(-5). Suppose i = -2*d + 4, 2*i + 11*d - 9*d - 4 = x. Let z(o) = -o**2 + o + 120. Is 15 a factor of z(i)? True Suppose -2*a - 3*g = -6*a - 20, 0 = a + 4*g + 5. Does 25 divide (-366)/((14/(-3) - a)*-3)? False Suppose 4*g - p - 3 = 2*g, 4*g + 2*p = -14. Is 7 a factor of g + 23 + (2 - (1 - 1))? False Let r(t) = -t - 9. Let p be r(-5). Let w be (-6)/p*4/(-3). Let d(x) = 6*x**2 - 7*x - 2. Does 12 divide d(w)? True Suppose -2*d = -4*r + 26, 5*r - 3*d - 31 = -d. Suppose -r*h - 2*m = -1024, 0 = h + 4*h + m - 1022. Is 47 a factor of h? False Let m(y) = 7*y + 32. Let z be m(-22). Suppose -j + 4*j + 183 = 0. Let s = j - z. Is s a multiple of 46? False Let c be 8/(-60) + 104/(-120). Let d(x) = -766*x**3 - 3*x**2 - 2*x. Is d(c) a multiple of 50? False Let l = -50 + -24. Let a = 72 + l. Let v(h) = -5*h**3 + 3*h**2 + h. Is v(a) a multiple of 11? False Is (124300/(-226))/(0 + 2/(-36)) a multiple of 40? False Suppose 3038 = 22*q - 2132. Suppose 4*w + 4*u - 504 = 0, 3*u - 27 = w - 153. Let o = q - w. Does 38 divide o? False Let k(s) = 6*s**2 + 15*s - 19. Let h(i) = 11*i**2 + 30*i - 37. Let v(z) = -4*h(z) + 7*k(z). Let m be v(-8). Suppose -4*w - 54 = -m*w. Does 6 divide w? True Let v be -1 + 3 + -5 + 8. Suppose -v*r = -r - 12. Is 10040/60 + 2/r a multiple of 10? False Let w(k) = k**2 - 10*k + 28. Let b be w(7). Does 24 divide 150 + b - (-1 - 0)? False Suppose 85*k - 129*k + 6901 = -51311. Is 21 a factor of k? True Let z be 14/35 + 3/5 + 2. Suppose -z*c = 4*u - 517, 0 = 2*c + 3*c - 4*u - 883. Does 35 divide c? True Suppose -728763 = -57*f - 260907. Is f a multiple of 152? True Suppose 34*p = 38*p + 12. Is 226*p/(-24) + (-2)/8 a multiple of 7? True Suppose -5*d = -4*v + 2*v + 249, 4*v - 5*d - 483 = 0. Suppose -2035 = 2*o - 7*o. Suppose 2*w - o = -v. Is 29 a factor of w? True Suppose -3*g = 4*c - 5898, 5*c - 67*g = -68*g + 7356. Is c a multiple of 210? True Is 6 a factor of (546/(-84) + 6)/(-1 - (-10678)/10680)? True Let y(g) = 24*g**2 - 226*g - 78. Is 28 a factor of y(29)? True Is (-3)/5 - (-7906240)/775 a multiple of 205? False Let s = -127 + 111. Is 4/s*-71*(0 - -20) a multiple of 41? False Let a(s) = s**3 + 22*s**2 - 24*s + 20. Let y be a(-23). Suppose z - 113 = 3*c, -c - z = -4*z + y. Let v = 102 + c. Is v a multiple of 5? True Suppose o + 45690 = 4*f, 0 = f - 4*o - 4994 - 6406. Is f a multiple of 32? True Suppose 0*p = 4*p + 15*p - 71307. Is p a multiple of 5? False Let t = -9052 + 15632. Does 14 divide t? True Let q be 144/56*(-16576)/(-12). Suppose 24*r - 12*r - q = 0. Is 37 a factor of r? True Suppose -292 + 380 = 11*v. Is -7 + 13 - v - -604 a multiple of 22? False Suppose -15*m + 12*m = -4*p + 13763, 2*p - 4*m = 6884. Is p a multiple of 86? True Let c = -1192 + 2210. Suppose 0 = -7*q + 8*q - c. Is 13 a factor of q? False Is 139 a factor of 6543 + (-7 + -14 - (-9 + -2))? True Let w(u) = 11*u + 1. Suppose -33 = -39*v + 28*v. Is w(v) a multiple of 4? False Let c = 25 - 2. Let p(h) = h**2 - 11*h - 56. Is p(c) a multiple of 53? False Let q(y) = y**3 - 18*y**2 + 45*y - 4. Let z be q(15). Is (-11 + 6 - 1679)/z a multiple of 44? False Suppose 5*d + 535 = 10*d. Let b(r) = -2*r - 23. Let k be b(18). Let c = k + d. Is 43 a factor of c? False Let v(c) = 3*c**2 - 4*c - 7. Let n be v(-3). Let s(j) = -j**3 + 8*j**2 - 10*j + 17. Let g be s(7). Let w = g + n. Is 14 a factor of w? True Suppose 2*a - 4*a = -2*c + 10, 4*a + 5 = c. Suppose 0 = 4*u + 5*r - 9 + 11, -2*r - 6 = -u. Suppose c*o = -3*b + 306, -u*b - 148 = -5*o + 148. Does 4 divide o? True Let d(a) = a**3 - 13*a**2 + 18*a + 7. Suppose -18*i = -15*i - 39. Let w be d(i). Let g = -137 + w. Is g a multiple of 26? True Let d = 7699 - 4121. Let u = -2453 + d. Does 15 divide u? True Let n(r) = 5*r - 237. Let a be n(48). Let y(t) = 81*t**2 + 5*t - 22. Is 31 a factor of y(a)? False Suppose 7087153 = 121*i + 72*i. Is i a multiple of 169? False Let q = -840 + 1916. Does 4 divide q? True Let r = 2624 - 824. Suppose 17*q + r = 12*q. Is 10 a factor of ((-18)/10)/(8/q)? False Is 5945 + ((-2)/(-8) - 740/80) a multiple of 112? True Let v(j) = 13*j - 115. Let f = 38 - 22. Is 3 a factor of v(f)? True Let l(z) = 858*z**3 + 16*z**2 - 13*z - 1. Does 4 divide l(1)? True Let p(m) = -m**3 - 10*m**2 - 11*m + 6. Let n be p(-8). Let y be 1 + n/2*3. Let f = -28 - y. Is f a multiple of 5? False Suppose -5*w = -4*t + 11722, -7*w = -2*t - 11*w + 5848. Is t a multiple of 24? True Suppose 0 = -5*l + 168 + 202. Suppose -13*y + l = -15*y. Let f = -31 - y. Does 6 divide f? True Suppose 9*t + 723 = 282. Suppose 13*o + 0*o = 1287. Let c = o + t. Does 10 divide c? True Let b(d) = 4*d - 31. Let g be b(6). Let n(s) = -87*s - 37. Does 26 divide n(g)? True Let x = -1088 - -557. Let c = -424 - x. Is 21 a factor of c? False Suppose 4*b - 7 = c, -2*b - c = 2*b - 9. Suppose -b*d = 3*r - 70, -4*r - 8*d + 92 = -4*d. Let y(z) = z**3 - 23*z**2 - 24*z + 25. Is 5 a factor of y(r)? True Let h = 31564 - 5692. Is 33 a factor of h? True Let p(x) = -3*x**2 - 4 + 2*x**2 - 2*x + 0*x**2 + 5*x. Let q be p(2). Is ((-2055)/(-30))/(q/(-4)) a multiple of 21? False Let v = -143 - -2327. Is 56 a factor of v? True Let p be -144 - 0/(4 + -3). Let v = -213 - -67. Let n = p - v. Is n even? True Suppose -70 = 2*t - 56, -4*z - 3*t = -172583. Does 13 divide z? False Let n be (-12)/(-30) - 46893/(-55). Let d = n + 59. Does 12 divide d? True Suppose 17*d - 3*d = 42. Suppose x - 100 = -d*x. Suppose x + 227 = 3*t. Is 14 a factor of t? True Let f(s) = -s**3 + 5*s**2 + 6*s + 1. Let x be f(6). Let p(o) = -o**2 + 7*o + 7. Let m(r) = -r**2 + 1. Let j(i) = x*p(i) - 5*m(i). Is 17 a factor of j(-3)? True Suppose -2*r = 2*d - 2056 - 830, 0 = -5*d + 3*r + 7215. Let t = d + -460. Is t a multiple of 78? False Let n(b) = 66*b**2 + 7*b + 15. Let v be n(11). Let o be 4/18 - v/63. Let j = 3 - o. Is 14 a factor of j? False Let i be (-1)/((27/24)/(-9)). Suppose i*v - 2*v = 12. Suppose g - 26 = -2*u, v*g + 4*u = 5*g - 38. Is g a multiple of 3? True Does 3 divide 93854/50 + 1186/(-14825)? False Let w = -20409 - -68529. Does 30 divide w? True Suppose 107*i + 281*i = 8422704. Is i a multiple of 19? False Let m = -1753 + 2949. Does 2 divide m? True Let w(j) = -649*j - 11. Let v be w(-2). Suppose 17*g - v = 4*g. Does 29 divide g? False Let h(j) = -53*j**3 + 54*j**3 + 2 + 10 + 11*j - 12*j**2 + 2. Let d be h(11). Suppose -d = 5*m - b - 76, 2*b = 6. Is 8 a factor of m? False Let i(p) = 2*p**3 + 3*p**2 + 8*p - 18. Let x be i(4). Suppose 5*b = -2*r + 482, 2*b + 15*r - x = 17*r. Is 44 a factor of b? False Let v = 42 + -37. Suppose 5 = -2*n + c, -v*c + 21 = -2*n - 4. Suppose 3*o - 3 - 159 = n. Does 9 divide o? True Suppose 1880 + 3337 = 2*t - 10695. Is t a multiple of 51? True Suppose -3*i = 0, -3*m + 9*i - 6*i + 12 = 0. Suppose j - 4*n = 368 - 116, 5*j + 3*n = 1352. Suppose 88 = -m*s + j. Does 9 divide s? True Suppose 8*u = 4234 + 1206. Let y = u - 592. Is 22 a factor of y? True Let s(o) = -o**2 - 10*o + 8. Let x be s(-4). Let d = x + -32. Suppose -7*u + 979 - 13 = d. Does 23 divide u? True Suppose -t + 2*x + 12 = 0, 3*x = t - 1 - 9. Suppose 4*c - t = -0*c. Suppose 2*b - 21 = -h + 6*h, 5*b + c*h - 36 = 0. Is 5 a factor of b? False Suppose -5*i = w - 58743, -391 = -4*w - 399. Is i a multiple of 31? True Let o(m) = -m**3 - 6*m**2 - 5*m + 5. Let q be o(-5). Suppose -d = 2, -4*b - q*d + 17 = -b. Let l(y) = 5*y - 16. Does 11 divide l(b)? False Let y(j) = j**2 - 7*j - 75. Suppose -12 = a + 5*s - 19, 4*a - 74 = 3*s. Is y(a) a multiple of 35? False Suppose -41 = -2*c - 197. Is (65/(-78))/(1/c) a multiple of 13? True Let f(p) = -p. Let v be f(0). Suppose 161 + 112 = 21*u + 84. Suppose u*a - 90 - 1233 = v. Does 21 divide a? True Let c(b) = 7*b + 58. Let g be (-5)/((-20)/24) + 6. Is c(g) a multiple of 4? False Let l(i) be the first derivative of 2*i**3/3 - 9*i + 20. Let w be l(-5). Suppose 87 = 8*r - w. Is r a multiple of 4? True Does 55 divide -1398*(2 + (-495)/22) + (1 - 5)? True Let v(y) be the
{ "pile_set_name": "DM Mathematics" }
Which is smaller: h or y? h Suppose 5*u - u - 83 = 3*p, 3*u - 3*p = 63. Let s = u - 15. Let m(q) = q**3 - 6*q**2 + 2*q + 8. Let t be m(s). Is -5 >= t? True Let d be -5 + 3 + 2 - -2. Suppose y = d*g + 25, 4*y + 3*g - 22 = 2*y. Let u be (y*2/4)/((-4)/(-8)). Is u < 95/6? False Let g(q) = 45*q**3 + q**2 + 3*q + 2. Let k be g(-1). Let m = -60 - k. Let u be 12/(-14)*m/(-10). Which is smaller: -1 or u? u Suppose -5*s + 0*t - 44 = t, -2*t - 34 = 4*s. Let m be 3 + s/(18/(-4)). Which is smaller: m or -8? -8 Let u = -1 - 0. Let s = 10 + -18. Let n be -1 - (-12)/s*u. Is n at least as big as 0? True Let h = -2/40827 - 1551208/4450143. Which is smaller: h or -1? -1 Suppose 30 = -2*t - 36. Let o(j) = -4*j**2 + 42*j - 124. Suppose -2*g - 21 = -9*g. Let x be o(g). Which is smaller: x or t? x Let i = -13376 + 13375. Which is bigger: 0.76 or i? 0.76 Let q = 18.128 - 0.228. Let n = 18.1 - q. Which is smaller: n or 2? n Let d = -117463698 - -605995211449/5159. Let v = d - 3/469. Which is bigger: -1 or v? -1 Let h be 11 + -20 - (-3)/3. Let r be (-3)/(-6)*h + (-6996)/(-1750). Is r smaller than -1? False Let t(c) = -84*c**3 - 2*c**2 + 9*c + 31. Let o be t(5). Is o < -10475? False Let c = 125 + -57. Let b = -36 + 96. Let m = c - b. Is 2/7 at least m? False Let d = 18/157 + -37085/324833. Is d greater than or equal to -1? True Let m = 1141742/11 - 103792. Let c(l) = l**3 - 6*l**2 + 2*l - 9. Let s be c(6). Which is bigger: m or s? s Let g be (0 - -1)/((-4)/(-60)). Suppose -g*b = 41 + 34. Which is smaller: b or -27/5? -27/5 Let m(n) = -114*n**3 - 12*n**2 + 20*n - 3. Let o be m(2). Are o and -923 nonequal? False Suppose -5*z + 15 = u, 0*u = 4*u + 4*z - 12. Suppose -4*o = -2*l - 53 - 23, u = 2*o + 2*l - 26. Let q be (-2 - -4 - 3)/(o/15). Is 0 >= q? True Let q be 5 + -2 - (-364)/(-122). Let w be 37*(-4)/20 + 7/1. Which is smaller: w or q? w Let o = 2880 + -2865. Let s(b) = -4*b - 1. Let y be s(-7). Suppose 0 = -5*k - y + 97. Are o and k nonequal? True Let m = 380 + -366. Suppose -19*d = -m*d - 40. Let y be (-87)/(-12) - (-6)/8. Is d bigger than y? False Let a(n) = -770*n - 5389. Let c be a(-7). Suppose -9 + 21 = 4*w. Let h be -2 - w/((-153)/138). Which is smaller: h or c? h Let c = -0.22203 - -0.06203. Is c less than -14.5? False Suppose 0 = 5*d - 105 + 45. Suppose -d = 2*x + 4*k + 20, -x - 19 = -k. Let u be (-4)/x + (-2007)/(-81). Is u less than 26? True Let v(h) = 2*h**3 - 11*h**2 + 2*h + 88. Let n be v(-7). Which is greater: -1152 or n? n Suppose -6 = -15*n - 6. Suppose n = -3*m - 4*a - 118, -5*m - a - 218 = -5*a. Which is smaller: m or -44? -44 Let h be 21 + (-131409)/3447 - -17. Are 0 and h equal? False Let c = 3 - 4. Suppose -3*a - 514 = 2*o, 0 = 4*o + 5*a - 240 + 1272. Let h = o + 256. Is c equal to h? False Suppose -5*v - 126 + 7 = 2*i, -2*i - 4*v = 118. Let k be ((-2602)/(-24))/(i/(-4)). Let c = 68/9 - k. Is c smaller than 1? True Suppose 12 = -18*p + 12. Let k be ((-104)/(-7) - p) + 35/245. Let r(n) = -n**2 + 10*n - 9. Let d be r(7). Is d >= k? False Let g = -2.27 + 2.242. Let y = 2.972 - g. Which is greater: y or -3? y Suppose -16 = 4*r - 8. Let h be (-6)/12*12/3. Let w = h - r. Is -0.8 at most as big as w? True Suppose 2510*r - 2506*r + 1040 = -2*j, 1103 = -2*j + 5*r. Which is greater: j or -541? j Let i = 94 - 86. Suppose 3*q - i = -2*a, 4*a - 16 = -6*q + 3*q. Let x = -1/10990 - 21703/3044230. Which is smaller: q or x? x Let w = 4590.4 + -4714. Which is smaller: 0.3 or w? w Let v = -19004 + 18808. Which is bigger: -0.1 or v? -0.1 Let i be (-10804)/660 - (-102)/(-170). Are i and -18 nonequal? True Let a = -4480.004 + 2.004. Are a and -1 unequal? True Let q = 375 + -379.46. Let b = q - -137.46. Is b >= -4? True Suppose -159*x + 1034 = -65*x. Let y(w) = 5*w - 4. Let n be y(3). Let j be n + (0 - 0)/1. Is j at most as big as x? True Suppose -97*l + 817 = -54*l. Suppose 3*t + 3*h = 7*t - 16, t + 3*h - 4 = 0. Suppose 4*y - 2*x - 76 = 2*x, -t*x - 19 = -y. Is y bigger than l? False Let r = -22 + 24. Suppose -3*n = r*n - 175. Suppose 0 = 3*w - 43 - n. Is w at most as big as 26? True Suppose 19*w = 16*w + 45. Suppose 0 = -3*s - w, 2*s = -6*t + t. Suppose t*n = -2*b - 20, 3 = -4*n - 3*b - 41. Is n >= -16? True Suppose 0 + 18 = 3*p. Let q be -75*6/(-27) - 4/p. Suppose 39*r - 37*r + q = 0. Is r at most as big as -0.4? True Let g = 26538 + -27168. Which is bigger: -633 or g? g Let y = -45 + 81. Suppose -21*v = -30*v - y. Is v at most as big as 8? True Suppose -3*a + 4*k - 6000 = 0, 113*k = -2*a + 114*k - 4000. Is -2001 smaller than a? True Let o = -5709.14 + 5632. Let k = -77 - o. Suppose -x + 4*x = 0. Is x <= k? True Let u = -13276505044/1926009 - -1191921/173. Let x = u - -1/3711. Which is greater: -5 or x? x Let i be ((-2)/(-6))/((-29)/(-16965)). Suppose -2*h - i = 3*h. Are -37 and h non-equal? True Let v = 2464 - 2451. Is 273/19 at most v? False Let s(c) = -c**3 + c**2 + 7*c - 11. Let o be s(2). Let q(z) = z**3 - 6*z**2 + 6*z - 5. Let w be q(5). Let m be (-256)/(-65) - (w + 4). Are m and o equal? False Let a(o) = 23*o**2 - 298*o - 4. Let v be a(15). Which is smaller: v or 4904/7? 4904/7 Suppose -3*a + 5*z - 2 = 10*z, 0 = -a - z + 2. Let k be a + 1491/(-133) - (-3 - 0). Which is bigger: 1 or k? 1 Let k(u) be the first derivative of u**4/4 + 10*u**3/3 + 11*u - 8. Let m be k(-10). Let c = 8 - m. Which is smaller: -7 or c? -7 Let m = 3 + -3.1. Let v = 0.2623 + 528.2377. Let h = -528 + v. Which is smaller: h or m? m Let l = -0.059 - 33.941. Let i = -20 + 11. Let c = i - l. Is 3 less than c? True Suppose -2*p + z - 189 = 0, -55*p + 5*z - 108 = -54*p. Is -109 < p? True Let u = -0.24 + -9.63. Let o = -9.67 - u. Is o bigger than 115? False Let u be 920/736 - (-460)/(-8)*5/(-2). Is 1318/9 less than u? False Suppose 8*w + 36644 + 10603 = 4231. Is w at least -5377? True Suppose 928 = -5*x + 4*u - 337, -3*u = 5*x + 1300. Let w be (-6)/(-11) - (14/55)/(816/827220). Do x and w have the same value? False Suppose 5*c + 2*m + 25 - 129 = 0, -3*c = 3*m - 66. Suppose 2*v + 0*a - 2*a = 50, 0 = -5*v + 2*a + 110. Is v > c? False Let y(h) = -h**2 - 11*h - 4. Let m be y(-11). Let d be (-6)/12 - (-2)/m. Is -2/75 less than d? False Let w be (-2)/(-4*1 - 18/(-6)). Let i(g) = -3*g**2 + 28*g - 51. Let q be i(w). Which is greater: -41/7 or q? -41/7 Let o = 5485 + -5275. Which is bigger: o or 188? o Let l(z) = -z**3 + 4*z**2 + z - 9. Let w be l(3). Suppose 0 = -x - s + 8, -7 - w = -2*x - 4*s. Let y = -120 + 131. Are y and x non-equal? False Let o(a) = 558*a - 8735. Let l be o(-24). Is l < -22127? False Let j be 22/77 + 3190/7. Suppose 242 = m - 3*a + a, -j = -2*m - 3*a. Let d be 135/m + (-2)/4. Which is smaller: d or 1? d Let k = -540 - -592. Suppose 150 = -k*v + 47*v. Do v and -1.2 have the same value? False Let k(a) = -2*a**3 + a**2 + 16*a + 24. Let i be k(-2). Let m be (-96)/i + 28/4. Which is smaller: m or -3? -3 Let b be (-1 + -26 + -1)/(-852 + 848). Is -33 > b? False Let x = 154.8 - 11.8. Let u = 1.32 + -1.42. Is x != u? True Let n(b) be the second derivative of -11*b**5/4 + b**3/6 + 2*b - 18. Let a be n(-2). Is 438 smaller than a? False Let o be 17/51*(-3 - 0) - 3096. Is o at most as big as -3099? False Let k be 0*21/(-294)*(1 + -2). Which is greater: k or 102/245? 102/245 Suppose 4*g - 375*s = -373*s + 136, -g + 2*s + 34 = 0. Which is smaller: 71 or g? g Let g = 35 + -20. Let n = -55.6 - -71.1. Let u = n - g. Which is smaller: u or -0.07? -0.07 Let m = -9 + -17. Let h = -23 - m. Suppose i + 4 = h*i. Do -3 and i have the same value? False Let x = -139674309/2111 + 66165. Does x = 1? False Let k = -1.775 - -0.775. Which is smaller: k or 2/75? k Let j(b) = 2*b**2 - 173*b - 588. Let u be j(83). Is u at most -15216/13? False Suppose 23*a - 24*a + 1 = 0. Let c be 2*(-8)/(a + 0). Let v = -14 - c. Which is bigger: v or 4? 4 Let p = 12543/17 + -738. Let w = -0.2 + 0.3. Which is smaller: p or w? p Suppose 202*r = -237*r - 15*r. Which is bigger: r or 5/412? 5/412 Suppose -305 = 3*x - u, 2*x - 5*u + 414 = -2*x. Let a be (-36)/90 - (-30)/(-3)*-10. Let k = x + a. Is -2 less than k? True Let b = 0.5034 - -0.1166. Are b and -23 equal? False Let w = -26.4 - -6.2. Let l = w - -20.4. Which is smaller: -1/27 or l? -1/27 Let k(d) = d**3 - 2*d**2 + 208*d + 2285. Let q be k(-11). Which is smaller: -1575 or q? q S
{ "pile_set_name": "DM Mathematics" }
+ 4, 3 = 4*a + 3*m for a. 0 Solve -68*z - 6 = -66*z - 2*i, z + 5*i + 9 = 0 for z. -4 Solve -d + u + 6 = 0, 4*u - 6*u = -5*d + 24 for d. 4 Solve -t = 4*n + 6 - 7, 3*n - 15 = 4*t for t. -3 Solve 5*y + 5*p = 5, -147*p + 146*p + 5 = -3*y for y. -1 Solve -5*p + 2*d - 16 = 4*d, 3*d = -4*p - 17 for p. -2 Solve -x + 5 = 5*a, -a + 9 - 32 = 5*x for x. -5 Solve -3*u + 10 = 1, 0 = -3*f + 2*u - 12 for f. -2 Solve 4 = -l, -71 = x - l - 79 for x. 4 Solve c - 5 = -4*x + 2, -5*c - 2*x - 19 = 0 for c. -5 Solve 5*l + 4 = 4*i - 3, 3*l = 5*i - 12 for i. 3 Solve -s = -4, -4*h + 4*s = h + 31 for h. -3 Solve 0 = -i - 3*k + 23 - 9, -2*i - 4 = -2*k for i. 2 Solve 2*t - 1 = t + v, -25 = 5*v for t. -4 Solve -2*m - 5 = -3*q, 0 = -5*m + 6*m + 5*q - 30 for m. 5 Solve 3*k + 2 = -5*u + 1, 0 = -4*u - 2*k for u. 1 Solve 7*v + 3 = 4*k + 6*v, -2*k = 2*v - 14 for k. 2 Solve -5*a + 13 = -2, -7 = -h - 3*a for h. -2 Solve -2*y = 4*u, -15*u + 3*y = -19*u for u. 0 Solve w = -5*x + 1, 17 = 5*x - 10*w + 7*w for x. 1 Solve 3*d - 5 - 4 = 4*j, -2*j = 2*d - 6 for j. 0 Solve 4*a + 11 - 13 = -6*v, 3*v - 11 = -4*a for a. 5 Solve 0 = -3*x - 4*f + 19, 2*f = 4*f - 2 for x. 5 Solve -2 = -f + r, -14*f + r = -18*f - 12 for f. -2 Solve -5*o - u - 12 = 0, 4*u - 6 = o - 12 for o. -2 Solve -3*o - 18 = 3*s - 6, -5*s = o + 8 for s. -1 Solve 5*k + 12 = -r - 8, 3*k = -3*r for k. -5 Solve 0 = 4*n + 2*b - 26, 0*n + 18 = 3*n + b for n. 5 Solve -4*h + 13 = g, 0*h - 3*h + 5 = -4*g for g. 1 Solve -2*d + 5*l - 11 = -0*d, -5*l + 17 = -4*d for d. -3 Solve -2*s + 2*g = 14, -5*s + 10*s - 4*g = -31 for s. -3 Solve -6 = 5*h - 2*u + 24, 5*u = 5*h + 30 for h. -6 Solve 7 = 3*o - 2*k, 3*o - 2*k + k - 2 = 0 for o. -1 Solve -4*u - 2*w + 13 = 41, -u - w = 9 for u. -5 Solve -4*o = 5*i + 2 - 12, -4*o - 2*i = -16 for o. 5 Solve 2 = w, -5*b + 4 = 5*w - 1 for b. -1 Solve -21*v = -25*v - 4*u - 4, -4*u + 21 = -v for v. -5 Solve 2*f - c = 0, f = -3*f - c for f. 0 Solve 0 = -6*m + m - 4*r + 30, -r = -3*m + 1 for m. 2 Solve 3*g - 4*b = g - 6, 5*b = 3*g + 8 for g. -1 Solve -8 + 4 = t + 4*y, 5*t - 5*y - 30 = 0 for t. 4 Solve o + 35 = 5*j + 11, -o = 3*j - 8 for j. 4 Solve -18*r + 2*s = -16*r, -4*r + s = 9 for r. -3 Solve 0 = 3*y, -d + 21*y = 25*y + 3 for d. -3 Solve 15 = 3*y + 3*w, y - 4*y = 5*w - 25 for y. 0 Solve -1 = -5*i - j, 30*j - 27*j - 3 = -i for i. 0 Solve -2*a = -p - 8, 3*a - 4*p - 7 = -0*a for a. 5 Solve -3*b - 9 = c - 0*c, -2*b + 5*c = 6 for b. -3 Solve -3*b - 20 = 3*f - b, -3*b = -3*f for f. -4 Solve 4*t - 10 + 0 = 3*r, -t - 9 = 5*r for t. 1 Solve -5*h + d + 12 = 0, 3*h = 2*d + 89 - 79 for h. 2 Solve 3*q + 5*v = 18, -q + 0*q = 4*v - 13 for q. 1 Solve -3*j - 34 = 5*t, -32*j + 26 = -34*j - 4*t for j. -3 Solve 0 = j + 4*n - 12, 2*j = -2*j - n - 12 for j. -4 Solve 0 = 12*o - 13*o - 5*g + 7, -3*o + g = -5 for o. 2 Solve -3*i + i + l + 4 = 0, 0 = 4*l + 8 for i. 1 Solve 7*q = 2*d + 9*q + 2, 5*q = 3*d + 19 for d. -3 Solve 6*g - 4*r = g + 3, r + 6 = -4*g for g. -1 Solve 3*i - 2 = -b, 0 = -3*b - 4*i + 8*i + 6 for b. 2 Solve -2*d = 2*n + 6, 5*d = -4*n - 20 + 5 for n. 0 Solve 9*x + 14 = 8*x + 4*j, 2*x = 3*j - 13 for x. -2 Solve 14*w = 12*w + 2*c + 16, 2*w = -c + 13 for w. 7 Solve 4*f = -5*g - 11, -2*f = -3*f + 4*g + 13 for f. 1 Solve 9 = -2*f + 2*v + 1, 3*f + 3*v = 0 for f. -2 Solve -2*q - 4 = 3*y + 2, 4*q + 12 = 4*y for y. 0 Solve -5 = 2*w - 3*j, -w - 6*j + 25 = -2*j for w. 5 Solve -4*r - 2*f = -2, 2*f = 6*r - 8*r + 6 for r. -2 Solve 0 = t - 4*d + 12, 2*d - 28 = -125*t + 120*t for t. 4 Solve 0 = 4*j - 3*n, 2*n = 471*j - 474*j - 17 for j. -3 Solve 3*x + 2*p = 8*x - 19, -12 = -3*x + p for x. 5 Solve -23 = -3*i - 5*d - 1, -2 = 2*i - 5*d for i. 4 Solve 0 = -2*j + 2, -a - j = 3*a + 15 for a. -4 Solve 3*d + 1 = 5*b, b + d - 6 = -1 for b. 2 Solve -v + 5*j = v - 30, 0 = 2*v + 2*j - 2 for v. 5 Solve -4*a + 2*g = 3*g - 16, -3*a = 2*g - 12 for a. 4 Solve -5*a = 0, -2*a + 1 + 7 = 2*m for m. 4 Solve 10*i - 4*r = 12*i - 10, 0 = i + 4*r - 15 for i. -5 Solve 0 = 3*w - 9, -u + 10*w - 5*w = 19 for u. -4 Solve 2*a - 23 = -5*b, -5*a + 5 + 12 = -b for a. 4 Solve 5*b + 1 = -3*r, -2 = -5*b + r + 5 for b. 1 Solve -7*b - 5 = -5*y - 12*b, -5*y = -4*b - 5 for y. 1 Solve 0 = 5*r - 0*i - i + 16, -r - 7 = -4*i for r. -3 Solve -4 = 2*l, 5*l + 63 = -5*a + 58 for a. 1 Solve -m = -p - 2, -18*p + 14*p + 3*m - 11 = 0 for p. -5 Solve -3*x = -2*o + 3, 0 = -5*o + 3*x - 308 + 329 for o. 6 Solve -3*s + 4*z = 8, -23*z - 21 = -4*s - 24*z for s. 4 Solve 5*j + 5 = 5*c, c - 11*j = -13*j - 14 for c. -4 Solve 3*x + 2*l = 4 - 13, 3*x - 2*l - 3 = 0 for x. -1 Solve 2*h + x = 1, -17 - 5 = -4*h + 2*x for h. 3 Solve -5*m - 3*x = 13, 2*m + 5*x - 8 = 2 for m. -5 Solve -77 = -2*f - 73, 3*f = 3*m + 15 for m. -3 Solve -2*n + 8 = -5*l, l = -4*n + 3*l for n. -1 Solve 0 = 5*k + 25, 3*x + k - 5*k = 17 for x. -1 Solve -25 = 5*p - 5*j, -p - 3*j - 32 = -47 for p. 0 Solve -3*x - 25 = -4*b, -3*b - 5 = -5*b - x for b. 4 Solve -5*v - 2*l = 4, v - 5*l - 13 + 3 = 0 for v. 0 Solve 3*d - 4*c + 15 = 16, 5*c = -2*d - 30 for d. -5 Solve -w - 5*n = -14, 4*w - 8 = -n + 5*n for w. 4 Solve -9 - 12 = -2*s - 3*t, -4*t + 20 = 0 for s. 3 Solve 2*i - 2 = -j, -6*i = -5*j - 4*i - 2 for j. 0 Solve 5*z - 5 = 0, 45 = -5*b + 12*z - 7*z for b. -8 Solve r - 2*n - 7 = 0, -5*n - 38 = -r - 16 for r. -3 Solve -n + 4*h - 3 = -20, -2*n + h = -13 for n. 5 Solve -5*h + 164 = -n + 192, -3*h + 3*n = 24 for h. -5 Solve -17 = 5*k + 3*f, 0 = 4*f - 5*f + 1 for k. -4 Solve -o - 2*o + 3*w - 18 = 0, -15 = 5*o - 2*w for o. -1 Solve 4*t = -5*g + 19, 19*t - 20*t - 5 = -2*g for g. 3 Solve 3*m + 5 = -4*w - 30, 10 = -2*m for w. -5 Solve 0 = -3*h - 4*o - 25, 2*h - 3*h = -2*o - 5 for h. -3 Solve 3*x + 2*h = -6, 3*x - 3 = 29*h - 34*h for x. -4 Solve 0 = 2*a - 8, x = -4*a + 2 + 18 for x. 4 Solve -5*b - 9*q = -14*q - 5, 27 = 3*b + 5*q for b. 4 Solve -l + 21 = -5*l + 5*h, 0 = -4*h + 4 for l. -4 Solve -g + k = -0*g + 1, 20 = -4*g - 4*k for g. -3 Solve 0 = 153*g - 150*g - a - 15, 0 = 4*g + 3*a - 20 for g. 5 Solve 5*j - j + 21 = 3*d, -2*d + 6 = 0 for j. -3 Solve a - 7*z + 6 = -2*z, -2*a - z = -10 for a. 4 Solve 2*m = 2*b, 71*b - 76*b = -4*m + 1 for m. -1 Solve 7*r - 2*t = 8*r - 8, 5*t = -4*r + 23 for r. 2 Solve 5*u - 8*v + 4 = -9*v, 4 = 4*v for u. -1 Solve 5 = 5*z - 4*a, -2*z - 3*a - 21 = -0*a for z. -3 Solve -5*w = -4*t, w = 3*t - 0*t for t. 0 Solve 2*p + 2*w - 6*w = 10, 0 = -p - 4*w - 13 for p. -1 Solve 3*l = -5*x - 32, 5*x + 4*l = -39 + 3 for x. -4 Solve -2*p = 5*n, 0 = -5*n - 3*p + 16 - 21 for n. 2 Solve -2*f + 11 + 5 = 3*x, 5*f + 7*x - 39 = 0 for f. 5 Solve g + 6 = 2*h + 2, 4*h - 4*g - 8 = 0 for h. 2 Solve a + 2*s - 6 = 0, 3*s - 16 = -4*a - s for a. 2 Solve 7 = 2*n - v, -2*n = -0*v + 4*v + 18 for n. 1 Solve 2*u = -2*b + 10, u - 14 = -u - 3*b for u. 1 Solve 302 - 290 = 4*v - 2*a, -5*v - 3*a = -4 for v. 2 Solve -7*b + 6*b = 5*l - 30, -l + b = 0 for l. 5 Solve -4*j + 9*u - 7*u = 26, -2*j = u + 7 for j. -5 Solve 0 = v - 3*r + 10, 4*v + 4*r + 4 = 7*r for v. 2 Solve l = 3*a, 39*a - 5*l = 43*a for a. 0 Solve 0 = -6*z + 2*z + 8, r - 4 = -z for r. 2 Solve -16*d = -4*x - 14*d + 18, 5*x - 19 = -d for x. 4 Solve 10*k = 5*k - 5*b + 5, 0 = -5*k - b - 11 for k. -3 Solve -1 = 3*j - l - 0, j + 2*l = -12 for j. -2 Solve -x + 8 + 3 = -3*f, f - 5*x = 1 for f. -4 Solve 0 = -4*j - o + 4, -4*j - 14 = -2*o - 30 for j. 2 Solve -5*m + 2 = -3*l, 7 = 5*l + 2 for m. 1 Solve -2*p = -5*k - 15, -p + 5 = -3*k - 5 for p. -5 Solve -7*x - 3*q = -3*x - 9, q - 3 = 5*x for x. 0 Solve 0 = -4*g + 5*c + 4, 0 = -2*g - 36*c + 35*c - 12 for g. -4 Solve g + 4 = 5*a + 6, 0 = -2*g + a - 5 for g. -3 Solve -3*l + 0*c = 2*c - 4, 4*c - 30 = 5*l for l. -2 Solve -5*j - 16 = -2*l, -8*l = 4*j - 7*l + 18 for j. -4 Solve 2*x + 3*t = -21, x - 6*x = 3*t + 30 for x. -3 Solve 4*k = 16, 2*k + 3 = 4*h - 1 for h. 3 Solve 4*l = -l - 3*s - 32, -s = 4*l + 20 for l. -4 Solve m = 2*v, 9 = -3*m - 3*v + 27 for m. 4 Solve -4*o + 2381*g - 2377*g = -12, 5*o = -g + 21 for o. 4 Solve -2*m = 8, -2*l + l - 4*m - 17 = 0 for l. -1 Solve -31*m - 4*g = -34*m + 20, -4*g - 20 = -m for m. 0 Solve 0 = -g + 18*y - 16*y - 8, 0 = -2*y + 4 for g. -4 Solve 4*m + a + 17 = 0, 0 = 2*m - 16*a + 12*a - 14 for m. -3 Solve 5*v + 21 = 3*y - 7, 0 = 5*y - 3*v - 20 for y. 1 Solve 0 = -3*l, 3*o - o - 3*l - 4 = 0 for o. 2 Solve 0 = -u + t - 1, 25 = 2*t +
{ "pile_set_name": "DM Mathematics" }
/(k*k/(k/k**(3/7))))/k)))/(k*k**(-5/2)))**(-2/93) assuming k is positive. k**(-19967/1953) Simplify (o*o**0*o)**(-1)*(((o**(2/11)/o)/o)/o)/(o/o**2*o)*o**(-2/9)/((o*o**(-2))/o)*(o*o/o**(-6))/(o/o**(-4)) assuming o is positive. o**(-4/99) Simplify (u*u*(u/u**(-1/4))/u*u)**(2/33)/(u**(1/4)*u*u**5)*(u**0/u*(u/u**(-1/10))/u)/(u*u**1/u*u)**(-2/15) assuming u is positive. u**(-1471/220) Simplify (((w*(w/(w**(3/13)/w))/w*w)/(w**(-25)*w))/(w**(-14)/w)**31)**(-5/3) assuming w is positive. w**(-10655/13) Simplify s*s**(-3/11)/s*s/(s/(s**(2/9)/s))*(s/s**0)**(19/4)*(s**(-8)*s*s*s**5)/(((s/((s*s**(-2))/s))/s*s)/s)**(-2/17) assuming s is positive. s**(19757/6732) Simplify (j**(-1/18))**0/(j*j**9/j*j*j**(-9/10)) assuming j is positive. j**(-91/10) Simplify ((d**6)**(-1)*(d*d*d*(d**(-1/17)*d)/d)/d**0)**(3/10) assuming d is positive. d**(-78/85) Simplify ((y*y**(-1/4)*y*y)**(-29))**(-2/41)*(((y*(y**(-1/3)/y)/y)/y)/(y/y**7))/(y**(-1))**(-5/2) assuming y is positive. y**(622/123) Simplify ((u/(u/u**(2/3)))**(-1/17)/(u/(u*(u**(-2/11)*u)/u))**(10/3))**(-44) assuming u is positive. u**(1448/51) Simplify f**(13/2)/(f/f**(5/8))*(f*f/f**(-8/7))/(f*f/(f/(f/(f**(-25)*f*f)))*f*f) assuming f is positive. f**(-993/56) Simplify (m**(-2/5)*m*m*m*(m*m**0/m*m)/m)/((m**2/m)/(m**(-1/13)/m))*((m/(m**(2/17)/m))/(m/(m**(1/5)*m)))/(m**0)**6 assuming m is positive. m**(2879/1105) Simplify (k**(-3)*k/(k**(-2/47)*k))/(k**(1/45)*k)**(2/51) assuming k is positive. k**(-323329/107865) Simplify r**0/r**(3/5)*(r/r**0*r)/(r**(-3/7)*r)*(r**(-1/2))**15*r**(-2/31)*r**4 assuming r is positive. r**(-5937/2170) Simplify ((((a**(-4)*a)/a*a)/a*a**(1/6))/(a**(6/11)/a**(3/2)))/((a*a*a*a**(2/3))**(-6/17)*(a/(a*a/a**(1/12)*a))/a**5) assuming a is positive. a**(11965/2244) Simplify (((z**(-1/2))**(4/13)*(z*z/(z*z**(1/6)))/z**3)**(-10/11))**(-1/2) assuming z is positive. z**(-905/858) Simplify ((f/((f**(-1/3)/f)/f))**(4/5))**(-26)*((f**(-2))**(-4/23))**(-46) assuming f is positive. f**(-256/3) Simplify (u*u/(u*u**29/u*u)*u*u**(6/25)/u*u)/(u/(u**(-7/5)/u)*u)**(-2/49) assuming u is positive. u**(-32561/1225) Simplify ((b**(-1/5)*b*b/b**(1/6)*b)/(b**(-2/7)*b**(-3/5)))/(((b/b**(-2/3))/b)**(-6/7))**(3/8) assuming b is positive. b**(56/15) Simplify ((((j**(-1/40)*j)/j)/(j/j**(-2/19)))/(j*j**11)**40)**(2/43) assuming j is positive. j**(-365659/16340) Simplify (m**(-4/7)/m*m*(m/(m*m**(-3)/m*m))/m*m)**(-3/17)/((m/m**6)/m**(-7)*m**(-7)/(m**(1/5)*m)) assuming m is positive. m**(202/35) Simplify (l*l/(l*l*l**1/l*l)*l**(-2/7))/((l*l/(l/l**(-4)))/((l**(-1)*l)/l))*(l/((l*l**5)/l)*l**(3/8))/(l/(l*l*l**(2/3))*l*l)**(-6) assuming l is positive. l**(-51/56) Simplify (c*c*c**(2/17))/(((c/(c*c**(2/5))*c)/c)/c)*((c**(-6)*c)/c)/c**(-3/4)*(c**(-6/5)/(c*c*c/(c**(-6)*c)*c))**(-9/10) assuming c is positive. c**(12661/1700) Simplify (c**(1/2))**(-28)*c/c**(-2/7)*c**6*(((c*c**2)/c)**(-11/4))**(1/17) assuming c is positive. c**(-1675/238) Simplify (s*s**(-11/3)*s*s**40*s)/(s*s/(s/(s*s**(-5/2)))*s/(s*s/((s*s/(s*s/((s*(s/s**(1/30))/s)/s))*s)/s)*s)) assuming s is positive. s**(628/15) Simplify ((l**(1/10)/(l*l*l*l**(-1/7)))/((l/((l*l/l**1*l)/l))/l*l*l)**(-2/9))/((l*l**(-2/15)/l*l*l)/l**9)**(-3/16) assuming l is positive. l**(-19517/5040) Simplify ((t*((t**30*t)/t)/t*t)**(4/5)*((t*t**(-22)*t)/t*t)**(-4/5))**(-18) assuming t is positive. t**(-3672/5) Simplify (i*i**1*i**5/i)/(i**2*(i*i**(-5)*i*i)/i*i*i)*(i**(-2/5))**(-35)/((i/i**(-5))/i**(-2/5)) assuming i is positive. i**(63/5) Simplify (j/(j/j**(-2/59)*j))**(-1/11)/(j**(-21))**(17/3) assuming j is positive. j**(77292/649) Simplify (((g/(g*g*g**(-1)/g))/g)**(-2/53)/((g**(2/11)*g)/g**(-3)))/(g**(11/2)/g*g*g/g**(-1/12))**24 assuming g is positive. g**(-1784/11) Simplify (c*c*c**(-1/6)*c*(c**(-1/7)*c)/c)**(-35)/((c**(-1)/c)**(-9))**(-8) assuming c is positive. c**(299/6) Simplify (x*x**(-6/5)*x**0)**(-3/4)*(x*x**(-1/11)*x*x**(-4)/x*x)/(x**(-2/3)/x*x/x**(-3)) assuming x is positive. x**(-2821/660) Simplify ((k**(-1/3)*(k*k**(-2))/k)/(k**3*k**(-8)))/((k**1*k*k)**(-24))**(4/19) assuming k is positive. k**(1016/57) Simplify (z**9/(z/z**(-4/3)))**(-3/10)/(z**(2/5)/z**(1/12))**(17/4) assuming z is positive. z**(-803/240) Simplify y/((y**(6/5)*y*y)/y)*y*y**(-3/2)*y**(-2/11)*y/((y/(y/(y**1*y)))/y)*y/y**(-1/6)*y**(-1/6)*y**2/(y**(-2)*y) assuming y is positive. y**(233/110) Simplify ((u/(u*u**(2/15)*u))/(u*u*u**(-4/7)*u*u))**14*(u*u**(2/3))**(3/32)*u**(1/5)*u*u*(u/u**(1/9))/u*u assuming u is positive. u**(-17459/288) Simplify ((((z/(z**(-2/5)*z))/z)/z)**(-25))**(-25)/((z*z**(3/4))/(z**6/z*z)*(z/(z/z**(-1/4)))**(3/5)) assuming z is positive. z**(-4978/5) Simplify (((k**(-4/7)*k)/k*k*k/((k/(k**(1/4)*k))/k))/((k*k**(-2/19))/k*(k*k**(2/31)*k)/k*k))**(-39) assuming k is positive. k**(-462657/16492) Simplify (j**(2/5)/j*j**(1/6)*((j/((j/j**1)/j))/j)**(-2/127))/((j/(j*j**(-1)*j))**(-6/19))**(4/17) assuming j is positive. j**(-1711/3810) Simplify ((j/(j**(-9/8)*j))/(j**(-2/37)/j)*j*j/(j/(j*j/(j**(2/19)/j)))*j*(j**(2/39)*j*j)/j*j)**45 assuming j is positive. j**(30021855/73112) Simplify ((f*(f/(f*f**0))/f)/(f/(f/f**(-3/8))))**(33/2)*(f/f**(-2))**(-47)/(f**0*f/(f**(-1/5)*f*f*f)) assuming f is positive. f**(-10641/80) Simplify ((((l**11/l)**14)**(-8))**42)**(-37) assuming l is positive. l**1740480 Simplify (a**(4/3)/(a/(a/(a/((a/a**(-1/6))/a*a)))))/((a*a**1)/a)**(-2/7)*(a**(1/4)/(a*a**(-6)))**50 assuming a is positive. a**(1850/7) Simplify ((i**(-2)*i)**9)**(2/9)*(i**0)**31/(i**(2/5)*i*i**(2/13)) assuming i is positive. i**(-231/65) Simplify ((t*t**7/t)**(-40)*(t**26/t)/((t/t**(-2/15))/t))**(-8/9) assuming t is positive. t**(30616/135) Simplify (((f**(-1/47)/f)**(2/21))**2)**42 assuming f is positive. f**(-384/47) Simplify (h**(-1)/h**6)/(h**(-3/2)*h*h*h/(h*h**(1/6)))*((h**1)**49)**(-13/7) assuming h is positive. h**(-295/3) Simplify d**(-11)*d/(d/d**(1/29))*(d*d**(-2/59)/d*d)/(d*d/(d**(-2/39)*d)) assuming d is positive. d**(-737402/66729) Simplify (g**(-2/3)*g**6)**31/((g/(g/(g*g/g**0)))**(5/7)/(g**1)**(-2/21)) assuming g is positive. g**(3440/21) Simplify ((((w**(-1/21)/w*w)/w)/(w*w**(-4)))/((w/w**(-2))/(w**(-3/8)/w)))**(-1/61) assuming w is positive. w**(407/10248) Simplify (g*g*g/(g*g**(2/13)/g)*g)/g**(-2/9)*((g/((g**0/g)/g*g))/g)**(-1/67)*(((g*g/(g/g**4)*g)/g*g)/(g*g/g**(-2/5)))**(-13) assuming g is positive. g**(-1675451/39195) Simplify ((a*a**(-1/3))**(-12))**(39/5)/((a**(8/3)/a)/a*a*a/(a**7/a*a))**(-39) assuming a is positive. a**(-1157/5) Simplify q**(2/13)*q**(-3)/q*q**5/(q*q/(q**(2/13)/q))*(((q*q**(-2/3))/q)/q)/q*((q/q**(-4/7))/q)/q*q*q**5*q*q**1 assuming q is positive. q**(877/273) Simplify (((q**3*q*q*q**(-28))**(-25))**33)**(-14/11) assuming q is positive. q**(-24150) Simplify (w**(-6)*w/(w**(-2/9)*w*w)*w**(4/3)/w*w*(w**(-2/13)/w*w)/w)/(((w*w*w/w**(-4))/(w/(w*w/w**(-5/6))))/(w**(-1/2))**(12/7)) assuming w is positive. w**(-26681/1638) Simplify ((b/(b**(1/10)*b))/b*b*b/(b*b**(-6))*(b*b/b**(3/5)*b)/(b*b/(b**(2/19)/b)*b*b))/((b*b*b*(b**(-1)*b)/b*b)**(18/11))**(-31) assuming b is positive. b**(325177/2090) Simplify ((k**12*k**15)/(k**11*k/(k**(-7/4)*k)))**(-4/11) assuming k is positive. k**(-57/11) Simplify ((p*p**(-14))/p**(-14)*((p*p**(-6))/p)/(p*p**(-24)*p*p))**(2/69) assuming p is positive. p**(32/69) Simplify ((p**(1/4)*p)**(-1/8))**48/(p**(1/4)*p/(p*p**(-1))*p/((p*(p/p**(1/5))/p)/p*p)*(p*p**(-3))/p) assuming p is positive. p**(-119/20) Simplify u**(-1/2)*u*((u*u**(-2/15)/u*u)/u)/u*u*u*u**1/(u*(u/u**(3/8))/u)*((u**(1/4)*u)**(-1/8))**(18/13) assuming u is positive. u**(4759/3120) Simplify (d**(2/53)*d/d**(4/29))/((d*d**(-3/5)*d)/d*d*d)**(-2) assuming d is positive. d**(43803/7685) Simplify (((a*a/(a/a**18*a))/(a*a**(3/2)))/((a/(a**(-1)*a))/a*a**7))**(-36) assuming a is positive. a**(-306) Simplify g**11/g**21*g**(-8)/((g/g**(-2/109))/g) assuming g is positive. g**(-1964/109) Simplify ((l/(l**18*l*l))/(l*(l**(1/13)/l)/l*l))/(l*l**(-29))**(-3/13) assuming l is positive. l**(-332/13) Simplify (w*w*w**(-6/5)*w/(w**(-23)/w)*w*(w**(1/46))**(9/8))**(-13/2) assuming w is positive. w**(-641641/3680) Simplify ((v*v**(2/7)*v*v*v*v*(v/v**(-2)*v*v)/v)/(v**1)**(-16))/((v/((v/v**(-1/2))/v))**(5/2)/((((v*v**(1/2))/v)/v)/(v**(-1)*v))) assuming v is positive. v**(659/28) Simplify (a**(-14)/(a*a*a**(-4/5)/a)*a**(
{ "pile_set_name": "DM Mathematics" }
-0*u + 20. Solve 11 = -3*c + g, 0 = -2*c + u*g + 18 - 47 for c. -2 Let u(w) = -57*w + 3098. Let d be u(53). Solve -2*l + b + 1 = 0, 5*l = 4*b - d + 75 for l. 2 Let m = 3943 + -3934. Solve -2*z + 11*a + 8 = 13*a, 0 = -2*z - a + m for z. 5 Suppose -5*u + 84 = 5*o + 49, 0 = o - 4*u + 8. Solve -2*y = 4*f - y - 2, -o*y = 4*f + 4 for f. 1 Let y = 589 - 374. Let n = 227 - y. Solve n = 2*o - 3*b, -3*b - 2*b - 1 = 3*o for o. 3 Let r = 1146 + -619. Let k = r + -519. Solve 4*m + 4*t = k, 0 = -2*m - m + 2*t + 11 for m. 3 Suppose 30*a = 42*a. Suppose 2*w = s + 13, 0 = 6*s - 2*s + 20. Solve -i - 3*z - 5 = a, 0*i - w*z - 2 = -i for i. -2 Let h = 23 + -4. Suppose 0 = -5*s - 2*r, 2*s + s + 5*r = 0. Suppose -5*b = -q - 14, 2*q + b - 16 = -s. Solve 0 = -3*n - 5*i + 7, 3*n + q - h = i for n. 4 Suppose -2*n - 351 = 13. Let c = -118 - n. Suppose -a - 62 + c = 0. Solve a = s + s, -j - 2*s - 3 = 0 for j. -5 Suppose -78*l + 31*l + 32*l = 0. Solve 7*b + 19 = -2*p, 3*b - 36*p + 40*p + 5 = l for b. -3 Suppose 0 = t - 72 + 47. Suppose 48*h - 50*h = 5*p - 47, t = 3*p + 2*h. Solve 4*o = c + 14, -c + 3*o - p = -1 for c. 2 Let t be (1/4*0)/(14 + -16). Solve w - 3*z + 16 = t, -5*w + 5*z + 17 = 57 for w. -4 Suppose -14466 = r - 14469. Solve o + 3*b = -4*o + 7, r*b + 23 = o for o. 5 Let g(u) = -113*u**2 + 2*u + 2. Let a be g(-1). Let z = a - -111. Let j be (-204)/(-54) - z/9. Solve -6 = -n + 2*q, -5*q = -2*n + 20 - j for n. -2 Suppose 5*f + 5*x + 0 = -15, 0 = -4*f + 5*x + 6. Let o be (f/(-3))/((-12)/(-324)). Solve 4*b = -2*k + 20, 3*k + 6 = -6*b + o*b for b. 4 Let z(x) = 4*x**2 + 78*x - 739. Let r be z(7). Suppose -u = -2*g - 19, 3*g + 23 = -2*u + 89. Solve 2*t = -t + 3*p + u, 2*t - 23 = r*p for t. 4 Let f be (-480)/(-48) - 10/2. Solve 3 = -f*o + 4*x, -3*o - x = -3*x + 1 for o. 1 Let b be ((-28)/126*9)/(1/(-7)). Solve m + b = -3*y, 49*y - 1 = 4*m + 50*y for m. 1 Let r be (24/(-30) + 411/(-5))*(1 + -2). Solve -62 = -3*p - r, 4*f - 51 = 5*p for f. 4 Suppose 6*i = 616 + 1436. Let k = 344 - i. Solve -2*u - 3*j = -u + 8, k*j + 12 = -2*u for u. -5 Let i(m) = -3833*m - 7658. Let h be i(-2). Solve 0 = -3*w + 6, 2*y + 14 - h = 4*w for y. 1 Let l be (4 - (-354)/(-21))*(-21 + -4 - -18). Solve -4*f = -3*m + 7, -l = -4*f - 3*m - 91 for f. -1 Let y(d) be the second derivative of d**4/12 - 7*d**3/6 + 3*d**2/2 + 3*d. Let j = -12 - -19. Let z be y(j). Solve -2*t + 3*g - 4 = 4*g, 3*g + 12 = z*t for t. 0 Suppose 4*w + 173 = -17*w + 635. Let g = -3 - -5. Suppose g*c = -9*c + w. Solve 3*p + c*p - 5 = 2*o, 7 = 4*p - o for p. 3 Let d be (-14)/(-4) - 9/(-18). Let j be 25*(d - 8)/(-4). Suppose x = -4*x + j. Solve 5 = -x*s - 10, -3 = -c + s for c. 0 Let w be -10*(-9)/(-360)*-4*2. Solve -12 = -t - w*n, 5*t + 2*n - 1 = 19 for t. 2 Suppose s = 0, 4*s + 190 = 2*x + 3*x. Suppose x = 6*p + 14. Let i(d) = -d**2 - 12*d - 4. Let h be i(-11). Solve j - 5*q + 35 = -p*j, h = 4*j + 3*q for j. -2 Let w(l) = -7*l + 182. Let z be w(-28). Let o be (z/315)/((-6)/(-10)). Solve 0 = 5*g - 5*q - 25, o*q = -3*q for g. 5 Suppose 7*k - 1007 = -160. Let u = 134 - k. Suppose -12*h + 11*h = n + 2, 0 = -4*n - 5*h - u. Solve -10 = 2*w - f + n, 3*f = 9 for w. -5 Let a(c) = c**3 - 10*c**2 - 2*c + 22. Let s be a(10). Solve -s*k + 18 = 5*t - 1, -2*t = -2*k - 16 for k. -3 Suppose z - 23 = -2*l, -4*l + 7*z - 29 = -48. Solve -2*t + 8 = 0, -5*t - l + 29 = -b for b. 1 Suppose 10*n + 5*n = 0. Suppose -m + 4*t - 16 = n, m - 4 + 0 = -t. Solve 2*b - 5*k + k - 12 = m, -4*b + 2*k = 6 for b. -4 Suppose 2 = -5*g + 7*g. Suppose 214*q - 344*q + 390 = 0. Solve y + q*b = 1, y + g = -2*b + 3 for y. 4 Let r(d) = 2*d**2 + d - 215. Let m be r(-10). Let s be (2/4 - 0)*-54. Let p = m - s. Solve -3*l = 2*l - 5*w, -p*l - 3*w - 5 = 0 for l. -1 Suppose -h = 3*z + 4, 4*z - 100 + 102 = -2*h. Solve -5*y + 4*d - 41 = 0, -12 = -y - h*d + 3 for y. -5 Suppose 264 + 240 = -7*q. Let r = 149 + q. Let t be 275/r + (-9)/(-21). Solve -6*i + 3*l - 2 = -i, t*l = -i - 5 for i. -1 Let t be (32/112 + 0)*63. Solve -21*q + t*q = -12, q + 4 = -4*f for f. -2 Let p be (-1 - 95) + 300/50. Let d = p + 92. Solve 10 = 4*s - k, 2*s - d*k + 4 = 3*k for s. 3 Let o = 38 - 433. Let f = o + 398. Solve -4*s + 0*v + 2*v = 2, -f*s - 4*v - 7 = 0 for s. -1 Suppose 35 = -u + 13*s - 19*s, -2*u + 4*s = -58. Solve 76*v - 71*v + 5*l = -20, -2*v - u = -3*l for v. -5 Suppose 4*p = 3*f + 52, 5*f + 21 = p + 42. Solve 26 = t - z + p, 3*t = 2*z + 18 for t. 4 Suppose 0 = 7*z + 2*z - 90. Suppose -z*w = -4*w. Solve w*r + 9 = 5*g - 4*r, 3*g + 5*r = -2 for g. 1 Let v(z) = -6*z - z + 3*z + 1 - z**2 + 2. Let j be v(-4). Solve 0 = -5*h + w - 29, -5*h + j*w + 2*w = 45 for h. -5 Suppose -291*n + 440 = 58*n - 1654. Solve -5*x = 5*b + 5, -4*x - 3*b = -n*b - 17 for x. 2 Let s(u) = -6*u**3 + 12*u**2 + u. Let d(g) = -7*g**3 + 14*g**2 + 1. Let m(y) = -5*d(y) + 6*s(y). Let b be m(3). Solve 0 = 3*q + 2*t, -5*q - b*t = t for q. 0 Let d = -96 + 99. Let g(i) = -i**3 + 4*i**2 + 6*i + 6. Let p be g(-3). Let z = p - 45. Solve -d*u + 2 - 1 = 5*v, -2*v = 4*u - z for u. 2 Suppose -9*z + 5*z + 76 = 0. Let d be (-7 - (0 + -6)) + 759. Suppose -d*s + 756*s = -6. Solve 4*i + z = h, -2*i + 5*h + s = 8 for i. -5 Let u(c) = -c**3 - 28*c**2 - 93*c - 445. Let h be u(-25). Solve 7 = -3*w + d, -4*d + 18 = -h*w + 4 for w. -2 Suppose 0*l - 4*h - 44 = l, 3*l - h = -132. Let w be (-10)/(-55) - 960/l. Let a = -20 + w. Solve -a*t - t - 15 = -3*q, 5*t + 9 = -3*q for q. 2 Let n(z) = -z**2 - 39*z + 109. Let q be n(-41). Suppose -3*c - q = -36. Solve -l = c*j + 18, -1 - 14 = 3*j for l. -3 Suppose -7*n = -15*n - 48. Let w be (2/n)/((-38)/912). Suppose 6 = -5*f + w*f. Solve f*v + 3 = 2*j + v, -3*j - 3*v - 9 = 0 for j. 0 Suppose 778*p + 84 = 820*p. Solve 3*m = -5*q - 7, 4*m - 37 + 51 = -p*q for m. -4 Let p(o) = o**2 - 709*o - 6458. Let s be p(-9). Let f = -11 - -14. Solve 4*t = -4*h - 36, -s*h + f*t = 1 + 7 for h. -5 Let m be (-1716)/(-1404) - 21/(-27). Solve 4*r + 27*q = 32*q + m, -q = -r + 1 for r. 3 Suppose -41*p + 25*p = -832. Suppose p*s + 78 = 55*s. Solve -5*r + 6 = 3*j + 20, -5*r + 3*j = s for r. -4 Let w(u) = 8*u + 67. Let d be w(-8). Suppose -3*i + 2*j + 40 = 0, 0 = 2*i + d*i + j - 71. Solve -3*x = -x - 2*y - i, y + 13 = 3*x for x. 3 Let y(m) = -49*m - 173. Let o(s) = -47*s - 170. Let c(l) = 4*o(l) - 3*y(l). Let d be c(-4). Solve 0 = -4*n + n + 4*p + d, -4*p + 12 = 0 for n. 5 Suppose -2*p - 20*g + 8 = -18*g, 2*g - 12 = -3*p. Solve -3*i + 3*m = -2 - p, 2*i + 2 = 4*m for i. 5 Let h be (12/(-48) - 153/(-4)) + 3. Suppose h*t - 14 = 34*t. Solve -2*d = m - 7, -5*d + 11 = 4*m - t for d. 5 Let f = 17595 + -17593. Solve 5*y - 56*n = -59*n, -2*y + f*n = 0 for y. 0 Suppose -3*y = 57 + 33. Let l(t) = -t**3 + 8*t**2 + t - 3. Let s be l(8). Let v be 17/s - (-12)/y. Solve 4*g - 2*g - 20 = -v*k, -5*k = -5*g for k. 4 Suppose 0 = -4145*h + 4160*h - 75. Let a = 9 + -6. Solve a*t - 49 + 12 = -5*c, -5*c + h = -5*t for c. 5 Let t = -595 - -597. Suppose 3*z + 2*y + 7 = 8*z, -2 = 2*z - t*y. Solve 4*g + g - 30 = 3*r, -z*r = g + 12 for g. 3 Suppose 32*d = 36*d - 20. Let z(n) = -n**3 - 8*n**2 - 10*n - 2. Suppose -6 = t + 1. Let v be z(t). Solve -5*o + r = 9, 2*o = 3*o + d*r - v for o. -1 Suppose -2394 = -227*p + 94*p. Solve -3*g - 27 = -3*n - 18, 0 = 2*n + 4*g + p for n. -1 Let c(p) = -p**3 + 40*p**2 + 127*p + 90. Let j be c(43). Solve 4*u + 0*r = -j*r - 8, -14 = 5*u + 3*r for u. -4 Suppose -713*r + 2421 = -1144. Let y = 24 + -10. Let m be -2*(2 - y/4). Solve -3*j + m*k = -k + 9, -r*j - 15 = -k for j. -3 Let g(t) = 3*t**2 + 11*t - 17. Let x be g(-5). Let b(z) = 10*z - 28. Let y be b(x). Let a be ((-5)/(-2))/(3/6). Solve y*d - 2*j = 3*d - 9, -d - 26 = -a*j for d. -1 Suppose -46*d = 392 - 484. Solve -5*f - 5 = -6*f + b, -16 = -4*f + d*b for f. 3 Let r = -772 - -778. Let k be r/8 + ((-378)/24)/(-7). Solve k = 3*j + 3*v, -j + 3*v - 3 = -0*j for j. 0 Suppose 0 = 3*w - 5*d + 2, -5*w - 22 = 4*d - 3*d. Let g be 10 + (3 - (w + 13)). Solve -m = 2*z + 5, 2*z + g*m + 4 = -2*z for z. -4 Let y = 10 - 6. Suppose 0 = -y*w - b + 19 - 4, 9 = 2*w - b. Suppose 31 + 53 = w*f. Solve -9 = 3*q - 0*q, 4*r - 3*q = f for r. 3 Let c(g) = -23*g**2 - 24*g**2 - 27*g**2 - 35*g - 230 + 73*g**2. Let b be c(-26). Solve -4*x + 3*x + 12 = 3*a, a - b = 2*x for x. 0 Let i(l) = -l**3 - 5*l**2 - l - 5. Let k be i(-5
{ "pile_set_name": "DM Mathematics" }
5*w = -4*o - 6, 3*w + o = -o - g for w. -2 Suppose 5*w - 3*c - 4 = 0, 18*w + 3*c + 2 = 22*w. Solve -h + 4*h = 4*r + 3, -4*r + w*h - 6 = 0 for r. -3 Let v(k) = 5*k**3 + 2*k**2 - k - 1. Let t be v(1). Solve o = -2*o + t*i + 11, 4*o - 2*i - 10 = 0 for o. 2 Suppose -q + 5*b + 2 = 0, 0 = -3*q - 0*q - 3*b + 6. Suppose 5*y + 3*l = 4, -q = -5*y + 3*l + 14. Let a = 0 - -2. Solve -k = 3*t + 7, 2*t + a + 8 = y*k for t. -3 Let d be (-4)/18 + 155/9. Let z = -17 + d. Let c = 2 - z. Solve 4*p = -4*y + 4, -3*y = p - c*p + 1 for p. 1 Suppose -5*f = 4*f - 18. Suppose -8 = f*y - 8. Solve q + 18 = -0*q + 4*o, y = 4*q + 2*o - 18 for q. 2 Let h be 4 - 0 - (1 + -2). Suppose -p + 8 = q, -4*q + h*p = 3*p - 56. Solve 2*t = -4*u + q, -4*t + 2*t + 5*u - 15 = 0 for t. 0 Let l be ((-12)/1)/((-57)/19). Solve -s = 2*s - p - 2, 4*s = l*p for s. 1 Let q be (1 - -7)/(2/3). Let t(b) = -b**2 - 25*b + 87. Let i be t(3). Solve -2*g - 10 = -5*k + 17, -i*k + q = 3*g for k. 5 Let i = -3 - -2. Let p be 4 + (i - 2 - -2). Let c = -86 - -89. Solve -2*z - p = -c*b - 4, 2*z - 4*b - 2 = 0 for z. -1 Let b = -256 - -264. Solve -4*d = -b*p + 3*p + 20, 3*d + 2*p - 8 = 0 for d. 0 Let b = -2 - 6. Let n = 13 + b. Suppose -20 = -3*y - 0*y - n*p, y = 2*p + 3. Solve 0 = 6*r - r + 2*o - 25, 0 = -y*r + 3*o for r. 3 Let t(u) = 5*u**2. Let y be t(-1). Suppose y*r - 29 + 120 = -4*x, -r + 5*x = 24. Let c = -11 - r. Solve -2*m - 2*a + c = 0, m + 4*a - 4 + 0 = 0 for m. 4 Suppose w - 8*v + 7*v = 19, -5*w + 99 = -v. Solve 5*t = -w, 2*u + 4*t + 26 = -3*u for u. -2 Let v be 1/(((-9)/(-15))/3). Suppose 0 = 4*u + v*b + 71, 5*u + 4*b - 3*b = -94. Let h = 24 + u. Solve 5*j - 15 = 0, -k - 12 = -0*j - h*j for k. 3 Suppose 0*b = -2*b - 10, 2*m + 19 = -5*b. Solve m*f = -2*y + 4, 28 = -2*y - y + 4*f for y. -4 Let t = -921 - -923. Solve 0 = f - 3*l, t*f - f - 5*l - 2 = 0 for f. -3 Suppose 13*a = 18*a - 15. Let q(f) = -2*f + 11. Let c be q(a). Solve 0 = -4*n - 3*g - 6, -2*g - c = n + 2*n for n. -3 Let m = -40 - -45. Let w = m - 2. Solve l - w*n - 5 = 5*l, -5*l = n - 2 for l. 1 Let a be (-12)/(-9)*42/28. Solve -9 = -3*f - a*b, -b - 6 = -2*f - 0*b for f. 3 Let f = -1987 - -1997. Solve 0*c + c + 3*s = -2, 5*c + 5*s + f = 0 for c. -2 Let v = -3 + 5. Suppose 0*k + 8 = v*k. Solve 0 = 5*s - 4*z + 16, -20 = -z - k*z for s. 0 Let j(y) = y**2 + 1. Let v be j(1). Let c(z) = 0*z**v + 3*z**2 + 5*z - 10 - 2*z**2. Let t be c(-7). Solve -4*o + 2*r = -2, 0 = 6*r - t*r + 10 for o. -2 Suppose -18 = 5*h + 12. Let q(m) = m**3 + 5*m**2 - 4*m + 11. Let r be q(h). Let j be -1 - (-10 - (-2)/r). Solve 0 = u + 5*l + 15, -l - 1 - j = 2*u for u. -5 Suppose 16 = -2*c + d + 1, 0 = -4*c + d - 27. Let l(r) = -5*r - 26. Let k be l(c). Solve 17 = 3*g - 2*j, -k*j - 11 = 3*g - 4 for g. 3 Let z = -32 + 39. Let n be 45/2 - z/(-14). Solve -4*a + 13 = -r, -3*a + 3*r - 2 + n = 0 for a. 2 Suppose 0 = -5*l + 8*t - 3*t + 45, 4*t + 31 = 3*l. Suppose -r = -l, -m + 0*m - r = -7. Solve 0*x + 2*j = m*x + 8, -4*j = 4*x - 24 for x. 1 Suppose -202*r = -221*r + 76. Solve -g = -2*n + 1, -g - r*n + 3 = -2*g for g. 1 Let h be 1 + (-1)/((-2)/2). Suppose -n + 0*i - 18 = -i, 4*n + 48 = -2*i. Let w = 18 + n. Solve 0 = -0*k - h*k - 2*t + 6, 20 = w*t for k. -2 Suppose -4*u = -u. Suppose 4*h - 3 - 9 = u. Solve -2*n + i = -7, 0 = -2*i + h + 3 for n. 5 Suppose 104 = 4*h - 4*p, 20*p - 5 = 15*p. Solve -4*s - h = s + 3*z, 3*s - 3 = 3*z for s. -3 Let t(f) = f**3 - 6*f**2 + f - 1. Let r be t(7). Let p = -52 + r. Solve -p*o = h - 7, 3*h - 10 = o + 1 for h. 4 Suppose -5*n + 3*n - 2*i = -14, 2*i = n - 19. Solve 6*q = 3*q + 2*k - n, -q - k = 2 for q. -3 Suppose -4*z - 19 + 35 = 0. Solve -3*k - 3*j + z = -2, 4*j = 4*k for k. 1 Suppose 0 = -0*w - 4*w - 52. Suppose -4*z + n = -61, 5*n + 1 + 79 = 5*z. Let a = w + z. Solve 2*x = b + 4, 5*x = -5*b - a - 3 for x. 1 Let g be (0 - 36/16)*-4. Suppose -5*m - g + 19 = 0. Solve -3*w - 2*x + m = -6, -3*w + x - 4 = 0 for w. 0 Let t be ((-4)/(-3))/(-2) + 3450/45. Let k = -75 + t. Solve -2*b - 2 = -3*j, -5*b = -3*j + 6 - k for b. -1 Let t(u) be the second derivative of -u**3/3 + 5*u**2 - 16*u. Let k be t(4). Solve -f - s = 0, -k*f + 1 = -3*s - 9 for f. 2 Let z = 1476 - 848. Let c be (-2)/13 + z/26. Let d be (2/2)/(8/c). Solve 3*f + 2*f + 3 = -d*u, -4*f = 5*u - 8 for u. 4 Let a be 9/6 - 2 - (-11)/2. Let o = 5 - 2. Suppose o*v - 15 = -2*v. Solve m = -0*m - v*z + 4, -2*m - 25 = -a*z for m. -5 Let a(s) = 7*s**2 + 11*s + 6. Let w(g) = g**2 + 1. Let n(u) = -a(u) + 6*w(u). Let f be n(-11). Solve 26 = -f*z - z - 5*r, 4*r = 3*z - 17 for z. -1 Suppose -42*o = -69 - 99. Solve 0 = o*j - 5*s, s = -2 + 6 for j. 5 Suppose -5*i = 4*x - 81, -4*x - i = -71 - 6. Solve -3*m + 11 = -4*a + 8*a, -a - 4*m = -x for a. -1 Let g(t) = -t**2 - 9*t - 8. Let i be g(-6). Suppose 4*f + 4*d - 23 = 3*f, -i = -5*f + d. Let k = 5 - f. Solve -b = 3*p + 5, -k*p - 9 = 3*b + p for b. -2 Suppose -37 - 12 = -7*u. Suppose i - u*i + 7*i = 0. Solve 5*c + 2 = 3*x - 0*x, 4*x - 5*c - 6 = i for x. 4 Suppose -3*w + 12 = -57. Let i be w - (1 + 3 + -1). Solve 4*a - 3*m + 16 = 0, 0 = 3*a + 2*a - 3*m + i for a. -4 Let q be (-56)/(-10)*(-385)/(-22). Suppose 4*t = 2*f + q, 5*t + 36 = -2*f + 145. Suppose t = 4*v + 7. Solve -3*n + 2 = -4*j - 14, -4*j = -v*n + 20 for n. 4 Let x(k) = 20*k - 15. Let p be x(1). Solve 0 = -p*s - 3*u - 15, -5*u - 2 + 8 = -2*s for s. -3 Let g(s) = s**3 - 3*s**2 - 2*s - 3. Let y be g(4). Solve -8 = -4*t - 5*v, -y*t + 3*v = -v - 10 for t. 2 Let f be (1 + 2 + -5)*-10. Suppose 5*o - f = -0. Suppose -q + 0*q = -8. Solve 0 = -5*b - o*c - 16, b + 2*c + q = 6*b for b. 0 Let m be (-436)/(-18) + (-4)/(-36)*-2. Suppose 0 = 5*f + 2*s - m, 12 = 2*f - 2*s + 4*s. Solve b = f*b - 5*t + 40, 4*b - 3*t + 35 = 0 for b. -5 Let w be (-4)/(-8)*(-6 - -12). Solve -d + w = 0, 2*z + 6*d - 21 = d for z. 3 Let u(d) = -8*d - 172. Let n be u(0). Let c = -167 - n. Solve -3*x - 3*t - 21 = 0, -c*x - 19 = -3*x + 3*t for x. -2 Suppose -1 - 8 = -3*r. Let m be (4/(-3))/(2/(-3)). Let p = m + -1. Solve -3*c - 7 = -i, r*i - 2*c - 6 = p for i. 1 Suppose -12*w + 11*w = -79. Let b = 80 - w. Solve y + x + b - 7 = 0, -3*y = -3*x + 12 for y. 1 Let h be 112/49 + (-4)/14. Suppose -4*a = 3*i + 55, -h*a = -a - 5*i - 15. Let u = 14 + a. Solve c - u*c + 3*j + 6 = 0, 5*c + 10 = -5*j for c. 0 Let g(h) = h**2 + 8*h + 2. Let a be g(-6). Let t = a + 7. Let p be 4/t*9/(-6). Solve -5*l + p*n + 8 = 0, -3*l - 2*n - 2 = -10 for l. 2 Let i = -10 - -12. Suppose 3*a + i*g - 4 = 0, -3 = -3*a - 4*g + g. Let d be -9*1/(-6)*a. Solve 24 = 3*h - d*n, -3*h + 2*n + 14 = n for h. 3 Let q = 6 + -2. Suppose -4*s + 4*t = 0, 2*t = -4*s - 12 + 36. Solve -2*o = 6, -3*p - s = -p + q*o for p. 4 Let p = 1433 - 1427. Solve a - 1 = g, 2*g + 3*a - 2 = p for g. 1 Let a(r) = 6*r + 9. Let h(x) = 18*x + 27. Let p(u) = -7*a(u) + 2*h(u). Let s be p(-2). Solve c - s*v - 4 = 1, -2*c + 4*v + 8 = 0 for c. 2 Let q be 0/(5 + -2 - 2). Suppose -4*x - 23 + 19 = 0. Let n be (x + 10)/(2/4). Solve q*j - 4*l = j + n, 4*j = -l - 12 for j. -2 Let l = 1465 - 1454. Solve y + 4*w = -2*y - l, y - w = -6 for y. -5 Suppose -4*s - 2*d = 20, -4*d + 5 - 18 = -s. Let u be 4/12*(12 - s). Solve -4*q - 2*i - 20 = 0, 2 = -3*q + u*i - 13 for q. -5 Let w(p) = -21*p - 163. Let o be w(-8). Solve r - 5*a - 1 = -7, -o = 3*r - 2*a for r. -1 Suppose -3*c - 7 + 19 = 0. Suppose -2*d - c*z = -37 + 13, -4*d = -2*z - 8. Solve l - 2*u + 3*u = 0, 0 = -d*l + 4*u + 16 for l. 2 Let u(v) = v + 31. Let q be u(-28). Solve 5*j - 25 = 5*w, -5*w = j + j - q for j. 4 Let m be 7 - 16/(-4) - 1. Let s be (12/m)/(9/60). Solve 0 = -4*f - l - 8, -4*f + 0*l = -l + s for f. -2 Let c = 460 + -456. Solve d + 6 = c*t - 5, 2*t + 7 = 3*d for d. 5 Let s = 33 - 31. Suppose 0 = 5*o - 4*d - s + 20, 2*o + 8 = 2*d. Let b be 3/(1/(-2)*o). Solve -4*u + b*k = 35, k + 40 = -4*u + 5*k for u. -5 Let o be 5 + (-5)/1 + 4. Solve -3*n - 3*i + 11 = -7*i, -o = -4*i for n. 5 Let p(k) = k**2 - 4*k + 4. Suppose -65*n = -70*n + 10. Let u be p(n). Solve -8 = 4*t + 5*c, -5*t - 2*c + 0*c - 10 = u for t. -2 Let d be 7 + (-837)/117 - (-654)/26. Solve 2*c + 3*w = -6 + d, 4*c - 5 = 5*w for c. 5 Suppose -2*b - 6 = -4*b. Let r be (-5)/(3/(-9)*b). Solve -5*p = 2*u - r + 20, u + 4 = p for p. -1 Suppose 4*d - 12 = -i, 5*d - 10 = -2*i + 5. Let s(z) = -z**2 - 8*z - 9. Let r = 50 - 5
{ "pile_set_name": "DM Mathematics" }
ber? True Suppose -5 = 5*q - 0*x - x, -2*q + 5 = x. Suppose q - 4 = -2*l. Let u = 12 + l. Is u a composite number? True Let w(r) = 12*r + 6. Let l be w(-6). Let d be -2*163*(-2)/4. Let h = d + l. Is h a composite number? False Let n(v) = 2*v**2 + 4*v + 3. Suppose o - 3*o - 4 = 0. Is n(o) a prime number? True Suppose 4*s - 5*z + 2*z = 13427, 5*z + 6703 = 2*s. Is s a prime number? True Let o(h) = -h**3 - 8*h**2 - 7*h + 5. Let g be o(-7). Let n be 10*(5/2)/g. Suppose -9 = -2*k + n. Is k prime? True Suppose 2*v = 8 + 416. Suppose -2*z = -v - 498. Is z prime? False Let r be (-22)/(-6) + (-6)/9. Suppose 0 = -2*a + 3 + r. Suppose -c + 5*c + 3*g - 50 = 0, -44 = -a*c + g. Is c a composite number? True Let s(x) = 126*x - 1. Is s(10) a composite number? False Let n be (3274/5)/(2/10). Let d be (-12)/(-66) - n/(-22). Suppose -5*u = -w + d, 5*w + 2*u - 745 = u. Is w composite? False Suppose 5*g + 0*j + 46 = -j, 0 = 2*j + 2. Let t(k) = -k**2 - 10*k - 5. Let u be t(-11). Let a = g - u. Is a prime? True Let v(x) be the third derivative of -1/12*x**4 + 3*x**2 + 1/30*x**5 + 0 - 5/6*x**3 + 0*x. Is v(6) a prime number? False Suppose -1 + 3 = p. Suppose 5*s + p*h + 1104 = 0, 822 = -4*s - h - 63. Is (-6)/(-4)*s/(-9) a prime number? True Let g(d) = 3*d + 1. Let r be g(-1). Let n be (-2 + r)*14/(-8). Suppose n*u - 4*u = 357. Is u composite? True Suppose -4*b = -3 - 17. Suppose -i = -b*i - c, 0 = 3*i + 2*c. Suppose i = -j + 15 + 16. Is j prime? True Let g = -43 - -740. Is g composite? True Suppose 12938 = 2*y + 5*p, 2*y - 3*p = 4*y - 12938. Is y prime? True Let t be -1*(-2 - (-3 + 6)). Suppose 0 = 4*y - t*y + 329. Is y prime? False Let z(t) = t**3 + 2*t**2 + t + 1481. Is z(0) a composite number? False Suppose 5*t = -23 - 17. Let l = 4 + t. Is l + 2 - -3 - -84 a prime number? False Let t = 82 - -79. Is t composite? True Let n(a) = a**3 + 14*a**2 + 14*a + 17. Let b be n(-13). Suppose 2*j + 261 = -q + b*q, 0 = -2*q + 5*j + 163. Is q prime? True Let a = -14 - -6. Let u(m) = 2*m**2 + 10*m + 5. Is u(a) a composite number? False Let p(m) = 5*m - 1. Let x(i) = 6*i - 2. Let q(n) = 5*p(n) - 4*x(n). Is q(8) a composite number? False Let a be 784/26 + (-2)/13. Let t = a + 261. Is t composite? True Suppose 0 = 4*m + m. Suppose m = 5*w - 5*a - 80, -3*w - 6*a + 4*a + 63 = 0. Is w composite? False Let f = -281 - -33. Let z = -85 - f. Is z composite? False Suppose 5*l - 1639 = 1296. Is l prime? True Let o = 7 + -7. Suppose 5*j = j - y + 435, j + 3*y - 106 = o. Is j prime? True Suppose a = 5*r + 5*a + 15, 9 = -3*r - 2*a. Is -2 + 4 - 17*r prime? True Suppose 7727 = 5*n - 4*y, -6 = 4*y + 6. Is n composite? False Let u be ((-3)/(-3))/(-1) + 24. Suppose n - 41 = -5*t, -t - 3*t - u = -n. Is n prime? True Let u(j) = -j**3 + 17*j**2 + 5*j - 2. Is u(17) prime? True Suppose -i = b - 0*b + 7, -5*b - 3*i = 29. Let z be (76/(-6))/(b/144). Suppose 0 = -3*w - 63 + z. Is w a prime number? True Let g be -2 + (3 - 1) + 0. Suppose -2*o - 4*r = r - 60, g = -5*o + 3*r + 212. Let j = 7 + o. Is j a composite number? False Let p(c) be the second derivative of -c**5/20 - 11*c**4/12 + 17*c**3/6 + 4*c**2 - 4*c. Let l be p(-13). Suppose 0*r - 5*r + l = 0. Is r prime? False Let m(k) be the first derivative of k**2/2 + k + 3. Let c be m(0). Is c/(-3) + (-308)/(-6) prime? False Let h = -7 - -15. Let z be h/12*6*1. Suppose -z*p - c = -0*c - 14, -4*p + 10 = 3*c. Is p a prime number? False Let i be (114/24)/((-2)/(-8)). Suppose i = 3*b + q, -3 = -3*b - 0*q + 3*q. Suppose -3*s - 4*y = -235, -b*y - 406 = -5*s - 26. Is s a composite number? True Let s(o) = 3*o**2 + 10*o + 10. Is s(-6) a prime number? False Suppose 0 = -q - 3 + 1. Is (-105)/q + 6/(-4) prime? False Suppose 0 = 2*o - 2*a - 2706, 46 - 5474 = -4*o - 4*a. Is o composite? True Let w(c) = c**2 + 887. Is w(0) prime? True Let h(l) = -l**2 + 4*l - 4. Let q(g) = -g**2 + 4*g - 5. Let r(b) = -4*h(b) + 3*q(b). Suppose 4*j = 2*y - 2, 2 = -4*y + 3*j + 2*j. Is r(y) prime? False Let u = -84 - -153. Is u composite? True Let n(o) be the third derivative of -5*o**4/12 + 3*o**3/2 + o**2. Suppose -12*t = t + 91. Is n(t) a composite number? False Is -2*(9837/(-126) - 3/7) prime? True Let x(z) = z**3 - 7*z**2 - 2*z + 9. Let o be x(7). Let l = -4 - o. Is -2*l*-1*29 a prime number? False Let h(y) = 6*y**2 + 4*y + 9. Suppose 5*t + 9 = 3*q - 7*q, 0 = 5*t - 15. Let k be h(q). Is ((-8)/12)/((-2)/k) a prime number? True Is 6 + (-31)/5 - (-3486)/5 prime? False Suppose -x = -2 - 0. Is 2*x/(-4)*-67 composite? False Let p be (-8)/6*(-6)/4. Let f be 130/(-18) + p/9. Let t(m) = -m**3 - 5*m**2 + 9*m + 2. Is t(f) composite? False Suppose 4*h - 7500 - 727 = -5*s, 0 = -5*h - s + 10268. Is h a composite number? False Let c = -1155 + 1642. Is c composite? False Let q(n) = -n**3 + 14*n**2 - 9*n - 13. Suppose 0*z - 22 = -2*z. Is q(z) a prime number? True Suppose 2*a = 186 + 772. Is a prime? True Let g = 142 + -53. Let h = g - -68. Is h a prime number? True Let f(m) = 36*m - 3. Let y(s) = 4*s - 5. Let w(c) = -7*c + 9. Let p(z) = 3*w(z) + 5*y(z). Let k be p(0). Is f(k) composite? True Let l = -135 - -228. Let y = -395 + 603. Let x = y - l. Is x composite? True Let d(x) = x**2 + 3*x + 2. Let n be d(-4). Suppose -3*v + 72 = -4*b, v - n*b = -2*b + 16. Let r = 9 + v. Is r prime? True Let h be -9 + 1 - (3 + -1). Let m = h + 14. Suppose -5*w + 245 = 4*i, 2*w + 2*i - m = 94. Is w a composite number? True Suppose 0*v - 4*v - d = -12813, 3*d - 3206 = -v. Is v prime? True Let y = -5 - -3. Let c be -6*(y - -1)/1. Suppose 0 = -c*d + d + 175. Is d a prime number? False Let s = 86 - 64. Is s a composite number? True Suppose 0 = -0*q + 5*q - 10. Suppose 3*k + 0*y - 5*y = -5, -y = -2*k - 15. Is q/10 - 328/k a prime number? False Let f = 73 - 15. Suppose -4*c - f = 2*d - 4*d, -4*c = 5*d - 89. Is d a composite number? True Suppose -45 - 1 = -2*q. Suppose 0 = -3*d - 2*d. Let h = d + q. Is h composite? False Let s = -26 + 32. Let v(h) = 37*h + 11. Is v(s) a prime number? True Let z(g) = g**3 + 21*g**2 + 13*g + 22. Is z(-9) composite? False Let u be (-42)/4 + (-6)/(-4). Let l = u + 136. Is l composite? False Suppose 0*g + 5*x = g - 1308, -5*x = 5*g - 6450. Is g a prime number? False Suppose 0 = 3*f + f + 20. Let s(c) = -11*c - 11*c + 10*c - 5. Is s(f) prime? False Suppose 3*q + 7 = 2*r, -4*q - 5*r + 37 - 8 = 0. Let h = 3 - q. Suppose -h*x = -6*x + 136. Is x a prime number? False Suppose -695 = -5*o - 0*o. Is o prime? True Let u(f) = 3 - f**2 + 2 - 1 - 3. Let z(j) = -4*j**2 - 4*j - 5. Let p(b) = -6*u(b) - z(b). Is p(-3) a prime number? False Suppose 8 = -0*d - 4*d. Is (35 - d)*(4 - 3) composite? False Suppose c - k = 216 + 411, 0 = -4*k - 16. Is c prime? False Let a(j) = j**2 + 4. Let i(t) = -t**2 + t - 5. Let h(p) = 3*a(p) + 2*i(p). Is h(-9) composite? True Is 257 + (-2 + 4)*1 composite? True Let c = -535 - -847. Suppose c = 2*f - 478. Is f a composite number? True Let n = 14 - 9. Suppose 3*j - 116 = -4*f + n*j, 0 = -j + 4. Is f a composite number? False Let h(t) = -3 + 4 + 0 + 121*t. Is h(4) composite? True Let r be 1 + 39/9*3. Let q(j) = j**3 - 11*j**2 - 20*j + 15. Is q(r) a composite number? True Is 10250/130 - 2/(-13) a prime number? True Let h be (-7)/(((-5)/6)/(-5)). Is (-2)/(-12) - 1295/h composite? False Suppose 0 = -4*u - 3*r + 46, -u = 3*u - 5*r - 62. Suppose 3*n + 2*n = -30. Let j = u - n. Is j prime? True Let y = -35 - -50. Is y a composite number? True Let p(u) = 8*u**2 - 19*u + 5. Is p(6) composite? False Let j be 2/(1 - 1/3). Let i(x) = -3*x + 5. Let o be i(-7). Suppose 5*t + o + 69 = j*w, -3*w - 5*t = -115. Is w a composite number? True Let s be (-1750)/(-15) - (-4)/(-6). Let r = s + -61. Is r composite? True Let j(a) = -32*a - 7. Let b(o) = -o**3 - 12*o**2 - 10*o + 4. Let i be b(-11). Is j(i) prime? False Let z(i) be the second derivative of i**5/60 - i**4/24 - 11*i**3/6 + 2*i**2 + 2*i. Let f(n) be the first derivative of z(n). Is f(-11) composite? True Is (17/3)/((-3)/(-171)) prime? False Let n = -11 - -14. Let q(s) = 3*s**2 - 8*s + 4. Is q(n) prime? True Suppose -p + 48 = -0*p. Suppose 0*x + p = -3*x. Is ((-145)/2)/(8/x) composite? True Is 14172/18 - 1/3 a prime number? True Let w be 0/(-2 + -1) + 3. Suppose -3*q = -w*p - 15, -2*p - 2 = 2*q - 0. Is 4 - (-3 + 2 + q) composite? False Let w = 3 - 1. Su
{ "pile_set_name": "DM Mathematics" }
359 Let n = 213 + 1713. Suppose -n = 9*x - 6012. What are the prime factors of x? 2, 227 List the prime factors of 789/1315 + (-127494)/(-10). 2, 3, 5, 17 Suppose 0*l - a = 4*l - 57746, 0 = -2*l + 2*a + 28878. List the prime factors of l. 14437 Suppose -4*c + 3*o - 1694 + 322 = 0, c + 343 = -4*o. Let s = 1014 - c. List the prime factors of s. 23, 59 Let o = -50 - -52. Suppose -o*c + 250 = -416. Suppose 0 = -3*l - 0*l + c. What are the prime factors of l? 3, 37 Suppose -x + 671 = -4*r, -5*x + 0*x + 3309 = 3*r. Suppose -3*j + 171 = -2*j + 5*t, 4*j - x = t. List the prime factors of j. 2, 83 Let h(k) = 88*k - 475. What are the prime factors of h(54)? 7, 13, 47 Suppose 38 = 5*i - 7. Let f be 1/((3/i)/(2/6)). List the prime factors of 8 - -73 - (-4)/f. 5, 17 Let x(m) be the second derivative of -27*m**3/2 - 11*m**2/2 + 47*m. What are the prime factors of x(-3)? 2, 29 Let y = -67766 + 113442. What are the prime factors of y? 2, 19, 601 Suppose 7*y - 4*y = -2*l + 63625, l - y = 31830. List the prime factors of l. 11, 263 Let u = 2549 - -407. List the prime factors of u. 2, 739 Let q = -12011 + 21808. What are the prime factors of q? 97, 101 Let x(k) = 328*k + 980. Let m be x(-3). Let u be (-2 + 4)/(2/(-26)). What are the prime factors of 3/m*u*(-10)/(-15)? 13 Suppose -2 = -3*u - 8, -s + 337 = 3*u. Let j = s - 253. What are the prime factors of j? 2, 3, 5 Suppose 38*b + 96*b - 5179400 = -11*b. List the prime factors of b. 2, 5, 19, 47 List the prime factors of 73 - 65 - (3 + -8700). 5, 1741 Let m = 31704 - 21199. What are the prime factors of m? 5, 11, 191 Suppose a + 17*k - 315 = 12*k, 0 = 2*a + 5*k - 640. What are the prime factors of a? 5, 13 Let n(t) = 7*t**2 - 16*t + 230. Let f be n(-30). Suppose -d - 4*p = -6*d + f, 4*d - 5608 = 3*p. What are the prime factors of d? 2, 701 Let p = -34 + 12. List the prime factors of ((-4)/p + 3480/99)*15. 2, 5, 53 Let r = -66 - -36. Let s = 3 - r. Suppose 3*f = 3 + s. What are the prime factors of f? 2, 3 Let b = -982 - -2052. Suppose 0 = -2*m - 3*l + 544, -3*l - b = 12*m - 16*m. List the prime factors of m. 269 Suppose 10*m - 48 = -2*m. Suppose 3*n = 2*n - 5, -2165 = -m*b - 3*n. What are the prime factors of b? 5, 109 Suppose 3*w - 734 = 4*a + a, 0 = 3*a - w + 438. Let d = a + 127. What are the prime factors of (-1182)/d + (0 - 6/9)? 5, 13 Let h(t) = t**3 + 153*t**2 + 245*t + 74. List the prime factors of h(-150). 2, 3853 Let d(f) = -12*f + 376. Let i be d(-20). List the prime factors of 21/(i/(-208) + 3). 2, 3, 7, 13 Suppose 0 = -4*m - 3*j + 49975, 24*m + 5*j = 27*m - 37445. List the prime factors of m. 2, 5, 1249 Let y(u) = u**3 + 26*u**2 - 35*u + 48. Suppose -2*v = 5*g + 64, 2*v + g + 32 = -24. What are the prime factors of y(v)? 2, 3, 11 List the prime factors of (-92945)/(-55) + (-42)/22 + 2. 2, 5, 13 Let r be (-5 - -6)/(8/216). Let l = r - -32. What are the prime factors of l? 59 Let g = 82931 - 43242. What are the prime factors of g? 13, 43, 71 Let k(h) = h**3 - 12*h**2 - 13*h + 9. Let r be k(13). Suppose r*f - 10*f = 0. Suppose f = 2*d + 2 - 118. List the prime factors of d. 2, 29 Let s = 52099 + -19379. List the prime factors of s. 2, 5, 409 Suppose 4*k + 36616 = 2*i, 6898 = -4*i + 4*k + 80110. List the prime factors of i. 2, 7, 1307 Let j = 23850 - 10307. What are the prime factors of j? 29, 467 Let c(j) = 2430*j**2 - 180*j + 541. What are the prime factors of c(3)? 21871 Suppose -12*y + 5165 = -1927. Suppose 3*p = 6*c - 2*c + 892, 2*p = -c + y. List the prime factors of p. 2, 37 Let s(z) be the third derivative of -7*z**5/40 + z**4/12 + 11*z**3/6 + 2*z**2. Let b(a) be the first derivative of s(a). What are the prime factors of b(-2)? 2, 11 Suppose 3*s - t - 2*t = -36, 24 = -2*s - 3*t. Let h be 2/(-1)*1 - (-14 - s). Suppose 5*m + 515 = -n + 3*n, -n - m + 254 = h. List the prime factors of n. 3, 5, 17 Let x(j) = -65*j - 1298. Let f be x(-20). Let k be (2 - 0 - 2)/1. Suppose -f*y + 0*y = 5*q - 481, q + 3*y - 91 = k. List the prime factors of q. 97 Let o(q) = 139*q**2 + 51*q + 33. List the prime factors of o(-7). 13, 499 What are the prime factors of (-11 + 3638/85)/((-2)/(-40))? 2, 3, 53 Let s = -31 + 41. Suppose 10 = 4*v - s. Suppose -v*d = -10*d + 200. List the prime factors of d. 2, 5 Let i(f) = 101*f - 33. Let p be (200/(-80))/((-10)/24). List the prime factors of i(p). 3, 191 Let c(f) be the third derivative of -f**4/8 + 22*f**3/3 - 14*f**2. Let r be c(17). List the prime factors of (46/(-4))/(r/42). 3, 23 Let y = 52 + -50. Suppose -2*j = -2*a - 2, -3*a = -y*j + 3 + 1. List the prime factors of (a - (-32)/(-12))*-18. 2, 3, 7 Let s be ((-4)/(-16))/(2/72). What are the prime factors of (21/14)/(2/12912*s)? 2, 269 Suppose 0 = 5*p - 8*y - 26046, 0 = -y - 33 + 31. What are the prime factors of p? 2, 19, 137 Let b(f) = 4*f**2 + 2*f - 482. Let s(q) = 11*q**2 + 6*q - 1447. Let v(c) = 8*b(c) - 3*s(c). What are the prime factors of v(0)? 5, 97 Let z(v) = -v + 10. Let i be z(-12). Suppose -42*q = -i*q - 22700. What are the prime factors of q? 5, 227 Let d = -261 + 269. Suppose 383 = d*g - 7*g. List the prime factors of g. 383 Suppose -6*h + 47 = 11. Suppose -h*g - 2 + 8 = 0. What are the prime factors of -1*g/(2/(-209 - -3))? 103 Let r = 30 + -28. Suppose -695 = -c + r*f - 117, 3*c - f - 1719 = 0. What are the prime factors of c? 2, 11, 13 Let n(a) = -68*a - 632. What are the prime factors of n(-44)? 2, 5, 59 Let a(i) = 13*i - 39. Let f be a(4). List the prime factors of ((-2145)/(-9))/(f/78). 2, 5, 11, 13 Let p be (-3*20/(-15))/6*9. Suppose -6*n + n + 2*w + 1006 = 0, 5*n - w - 1003 = 0. Suppose -n = -p*r + r. What are the prime factors of r? 2, 5 Let o = 286 - 286. Suppose 2*a + 589 = 2*l - 465, 4*a - 16 = o. What are the prime factors of l? 3, 59 Suppose 2*j + 5*s = 42139, 3*s + 84187 = 427*j - 423*j. What are the prime factors of j? 2, 19, 277 Let a(t) = 5*t**3 - 5*t**2 + 7. Suppose 6*l + l - 21 = 0. Let y = 0 + l. List the prime factors of a(y). 97 Suppose 0 = 4*p + 4*v - 248, 0 = 4*p + 12*v - 7*v - 243. Let a = -2 - 1. List the prime factors of (-3 - p/3)*a. 2, 19 Let f(u) = u**3 - u**2 + 8*u + 42. Let r be f(-6). Let t = 717 + r. What are the prime factors of t? 3, 17 Let x = 1413 + 3409. What are the prime factors of x? 2, 2411 Let o be 4/24*-3*-8. Suppose o*p = -4*p. Suppose 0 = -2*x - 2, 0 = 2*c + x - p - 9. What are the prime factors of c? 5 Suppose 2 = -2*j + 4*j. Let p(y) = 513*y**2 - 3*y + 2. Let q be p(j). Suppose -4*v + q = -3*z - z, 5*z = -v + 128. List the prime factors of v. 2 Let s(f) = -5*f + 78 - 35 + 74. List the prime factors of s(9). 2, 3 Let g(q) = -12*q**3 + 9*q**2 - 13*q - 3. List the prime factors of g(-8). 19, 359 Let i(j) = 26*j**2 - 46*j + 30. What are the prime factors of i(23)? 2, 3, 7, 101 Suppose -48774 = -10*w - w. Suppose -w - 6533 = -11*p. List the prime factors of p. 997 Let u be (6/(-16))/3 - (-1128)/(-192). List the prime factors of 34/(-51) - 1019/u*2. 3, 113 Let z = 658 + -254. Let p be (-8)/(-3)*((-30)/16)/(110/(-264)). List the prime factors of 1/(-4)*(p + -13)*z. 101 Let m(a) = 3*a**3 - 8*a**2 + 2*a - 97. What are the prime factors of m(15)? 2, 4129 List the prime factors of ((-1443)/52 - -1 - -4)*(-1 - 203). 3, 7, 13, 17 Let p(k) = 3*k**3 - 25*k**2 + 121*k - 12. List the prime factors of p(10). 2, 3, 283 Let v(u) = 10*u + 103. Let f be v(-10). Suppose -f*a = -178 - 1016. What are the prime factors of a? 2, 199 Let k(t) = 18670*t - 18687*t + 6*t**2 + 21 + t**2. List the prime factors of k(11). 3, 227 Suppose 7*t - 11044 = 3579. List the prime factors of t. 2089 Suppose -4*a - 4*h + 5 + 11 = 0, -2*h = 4*a - 12. Let i(m) = 2*m + 6*m**2 + 5*m**a - 7*m**2 - m**2 - 4 + 11*m**3. List the prime factors of i(2). 2, 5 Suppose -5*y + 0*y + 235 = 0. Let h = y - 41. Let l(r) = 11*r + 6. What are the prime factors of l(h)? 2, 3 Let t(q) = q**3 - 10*q**2 + 8*q + 14. Let k be t(9). Suppose -336 = -k*y - 36. Let g = y - 42. What are the prime factors of g? 2, 3 Let r = 58426 - 30369. List the prime factors of r. 28057 Let w(h) = 91*h + 11. Suppose 4*m = r - 24, 0*m = -2*r - 5*m - 17. Let v be w(r). Suppose -7*n - 25 + v = 0. What are the prime factors of n? 2, 5 Let p(o) = o**2 + 11*o - 3. Let l(w) = 4*w - 1. Let r(m) = -17*l(m) + 6*p(m). Let g be r(-1). Suppose g*j + 274 -
{ "pile_set_name": "DM Mathematics" }
of 0.1624 and -0.9. -0.14616 Calculate 0.05*1.82. 0.091 Product of -0.1 and -40.831. 4.0831 Work out 1.4 * -0.37409. -0.523726 What is the product of 1535.9 and -3.4? -5222.06 Work out -0.1369 * -35. 4.7915 Work out -6 * -3771. 22626 Work out 150.736 * -11. -1658.096 Work out -10 * -180707. 1807070 70 times 91 6370 What is the product of -46 and -546? 25116 What is the product of -2972 and -6.7? 19912.4 Calculate -37.2*-12.2. 453.84 Calculate 22133*-11. -243463 -1011 * -8 8088 What is -51.705 times 0.04? -2.0682 Multiply -0.036 and -536. 19.296 Work out 5 * 58.0676. 290.338 Product of -0.114 and 1314. -149.796 Product of 0.4 and -12.8891. -5.15564 Product of -26.6069 and -5. 133.0345 -4*-2973 11892 Work out 1.3 * -7164. -9313.2 What is the product of -0.3 and 0.046698? -0.0140094 0.2599 * 36 9.3564 Multiply 190 and -756. -143640 Product of 79.2 and 1.19. 94.248 Work out -3.5 * -0.067. 0.2345 5.296 * -0.11 -0.58256 What is the product of -0.027 and -14.139? 0.381753 313*-2397 -750261 Calculate -1699*-0.84. 1427.16 -456.7*0.0106 -4.84102 What is -322.9 times 0.01? -3.229 2.9 times 2720 7888 What is 58 times 5.4046? 313.4668 Product of -3 and -409.838. 1229.514 Work out 82.8 * -146. -12088.8 Multiply 387 and 0.1192. 46.1304 119 * 626 74494 -234 * -2095 490230 What is the product of 1.1057 and -4? -4.4228 What is 0.1899 times -194? -36.8406 What is the product of -0.14 and 1.53592? -0.2150288 0.2*-1.4587 -0.29174 -547*-3034 1659598 What is the product of 1.2 and 0.118? 0.1416 What is -24 times -0.0574? 1.3776 Calculate -1.5062*-0.3. 0.45186 -0.13 times 12624 -1641.12 1596*292 466032 Work out -0.5 * 18222. -9111 Multiply -5515.5 and -0.2. 1103.1 0.3*2444.9 733.47 -8 times 795 -6360 32*-491 -15712 What is -0.4 times 4.3801? -1.75204 Calculate 158327*-0.2. -31665.4 Multiply 352465 and 0.4. 140986 Calculate -249*-792. 197208 Work out 27 * -1109. -29943 -0.6 * -19179 11507.4 Calculate 14.8456*3. 44.5368 -5 * 54 -270 -0.5 times 183463 -91731.5 Product of 381 and -1572. -598932 Calculate 3257303*0.3. 977190.9 -135293*0.5 -67646.5 Product of 2.03 and -19. -38.57 Calculate -20871*1. -20871 6 * 333338 2000028 535686 times 0.5 267843 -0.1 times 664783 -66478.3 Work out -11.7741 * 0.4. -4.70964 Work out -1517 * -1219. 1849223 Work out -1049782 * 0.1. -104978.2 Calculate -0.31*0.114637. -0.03553747 -3.8*3194 -12137.2 Multiply 0.3743 and 64. 23.9552 -118 * -0.00386 0.45548 Multiply -43 and 0.09. -3.87 -4 * 0.321 -1.284 Product of -640 and -0.85. 544 Product of -0.0365 and -0.94. 0.03431 1 * -5.588 -5.588 What is the product of 9 and -0.033524? -0.301716 Work out -2.1225 * -0.03. 0.063675 Product of -28 and 47.39. -1326.92 Multiply 0.05433 and 250. 13.5825 What is -763910 times 0? 0 Product of -1147.9 and 0.323. -370.7717 Calculate 4*-4.78034. -19.12136 Calculate -5*-0.28675. 1.43375 Product of -988 and -54. 53352 Calculate 0.1*0.0909027. 0.00909027 -92737*3 -278211 Multiply -76622 and 0.19. -14558.18 What is the product of 65 and 212? 13780 What is the product of 22 and 149678? 3292916 Calculate -3*-0.020529. 0.061587 Calculate 0.26*-1286. -334.36 Multiply -227.99 and -0.85. 193.7915 1099 * -0.7 -769.3 Multiply 0.4 and 57206. 22882.4 6660 times 0.76 5061.6 Work out 44355 * -8. -354840 Work out -0.26292 * -1.1. 0.289212 105617*3 316851 What is -0.2 times -83556? 16711.2 -475 times -1131 537225 What is the product of 72 and -132? -9504 183 * -7474 -1367742 0.01 times -29096 -290.96 Calculate -256*-36. 9216 What is the product of 1.6852 and 0.1? 0.16852 Multiply 0.21 and -0.7931. -0.166551 Calculate 511*-22.11. -11298.21 Product of -2 and -19986. 39972 Product of -0.004304 and 4.8. -0.0206592 What is the product of 3.698 and 8? 29.584 What is -0.6 times 16515? -9909 Work out -4.993 * -2. 9.986 -514 * 43.2 -22204.8 0.4 times 5.10212 2.040848 4 times -50490.3 -201961.2 0.116607 * -0.5 -0.0583035 Calculate -0.71*201. -142.71 -5*-5054.06 25270.3 8367 times 0.38 3179.46 -0.0168 * -7 0.1176 Calculate -0.099*-7.9. 0.7821 -0.2 times 8411.4 -1682.28 0.089 * 0.02 0.00178 Multiply -801 and 146. -116946 -0.6*-972 583.2 Work out -5.83 * -3.3. 19.239 Calculate -0.2*28453. -5690.6 -2.354 * 1.8 -4.2372 -0.078574 * -0.3 0.0235722 -8468 times 0 0 Work out -0.1 * 4389. -438.9 Work out 0.0595142 * -0.1. -0.00595142 What is 1.191 times -51? -60.741 Calculate 798405*0.4. 319362 What is -0.98 times 0.8? -0.784 Multiply 31 and 6.59. 204.29 16*-9226 -147616 1174.8 * 3.6 4229.28 19 * -25366 -481954 -0.152*15.84 -2.40768 What is 0.3 times 204.72? 61.416 Calculate 3*2.53803. 7.61409 0.149 * 21.7 3.2333 What is 9 times 16059? 144531 -4 times -0.139197 0.556788 Multiply -23 and -0.3451. 7.9373 Product of 11526 and -6. -69156 Work out -0.4 * -0.785544. 0.3142176 Work out -0.4 * -351669. 140667.6 What is the product of 355 and -15? -5325 2420*-1202 -2908840 What is the product of 2363 and -9? -21267 What is the product of 0.226558 and 0? 0 45 * 655 29475 What is the product of 0.0547 and 321? 17.5587 Multiply -9.4 and -51. 479.4 Work out -44840 * 0.07. -3138.8 Work out 305 * 3.9. 1189.5 Work out -0.00811 * 40. -0.3244 -5 times 272670 -1363350 Multiply -0.0558198 and 4. -0.2232792 Calculate 9709.5*0.05. 485.475 Work out -1214289 * -0.1. 121428.9 Work out 11.1083 * 1. 11.1083 What is the product of -3 and 24.57? -73.71 What is the product of -1970 and -0.08? 157.6 Work out 29 * 5414. 157006 What is 3329 times -38? -126502 Product of 0.33 and -11215. -3700.95 Calculate -146*-13.899. 2029.254 195148 times -0.2 -39029.6 Multiply 6804 and -3. -20412 Multiply -1 and -5811. 5811 -0.4 * -14925 5970 Product of -2 and 91001. -182002 Work out 2 * 7767. 15534 Multiply 17548 and 2. 35096 What is 1702 times 310? 527620 Calculate 570*0.93. 530.1 Product of -0.1 and -2565.4. 256.54 -5 * -1.6845 8.4225 What is the product of 291908 and 8? 2335264 -3584 * 40 -143360 0.4 * 25679 10271.6 Product of 64 and -901.6. -57702.4 What is the product of 2.34999 and -0.6? -1.409994 Work out 0.03 * -4461. -133.83 -1982660*0 0 What is 13.4 times -7? -93.8 27.0254 times -5 -135.127 0.29 times -856 -248.24 Product of 0.1 and 0.31925. 0.031925 -1.4*33.43 -46.802 6.73*0.2 1.346 Product of -18023 and 0.17. -3063.91 5329 times 139 740731 0.09 * 2.261 0.20349 Product of -2556564 and 0.5. -1278282 0.0701892 times -0.1 -0.00701892 Multiply -56.54 and 14. -791.56 Multiply -9202 and -0.103. 947.806 What is 821 times -0.4457? -365.9197 Work out -2 * -928.7. 1857.4 1.60692 * -4 -6.42768 -0.1 * -68608 6860.8 What is the product of -1.1 and -1404.2? 1544.62 What is the product of -1.2 and 104.116? -124.9392 -0.07 * 47993 -3359.51 -0.0193*0.19 -0.003667 150.7958*-0.2 -30.15916 0.088 * 1042 91.696 Work out 0 * 0.34148. 0 What is -415.5 times -9? 3739.5 Work out 0.381539 * -0.1. -0.0381539 -6 times -5.283 31.698 Multiply 3797 and -4.2. -15947.4 Product of -0.3 and -95954. 28786.2 Multiply 2.19 and -5.012. -10.97628 7.174 times -2 -14.348 Multiply 482 and 1461. 704202 -90.6 times 0.08 -7.248 What is -0.05473 times -0.2? 0.010946 What is -0.5 times -52487? 26243.5 What is the product of -4627 and -4? 18508 What is 267482 times 0? 0 Calculate 1.34*-0.63. -0.8442 Calculate -288073*-0.4. 115229.2 -18382 * 11 -202202 0.6 times 36.43 21.858 -24009 times -42 1008378 Multiply 0.01 and -6999. -69.99 1681 times -0.26 -437.06 -3*3517 -10551 What is the product of -18.413 and 4? -73.652 Work out 4 * 108948. 435792 What is -0.18 times -446? 80.28 69.194*-1.3 -89.9522 0.257 * 0.4615 0.1186055 What is the product of -2362.73 and -0.1? 236.273 -3 times -3.942 11.826 Multiply -0.11 and -0.0496. 0.005456 Multiply -2276 and -1.2. 2731.2 6.2 * -0.1028 -0.63736 Work out 6947 * -183. -1271301 What is -0.17 times 5221? -887.57 Work out 5 * -38494. -192470 Multiply -592 and 0.5. -296 Calculate 0.5*-1117. -558.5 280*-1.76 -492.8 28286 times -0.15 -4242.9 -100607 * -3 301821 Work out -6.51213 * -0.05. 0.3256065 -0.1*-14935 1493.5 Multiply -109084 and -1. 109084 -8556 times 90 -770040 What is 46.3 times 51.69? 2393.247 Multiply -3 and 447327. -1341981 Product of 575.4 and -0.6. -345.24 What is 0.06696 times -0.5? -0.03348 What is -791731 times -1? 791731 36269*-1 -36269 What is -78 times -943.49? 73592.22 Work out -4 * -12024. 48096 Calculate -0.1*132142. -13214.2 Wha
{ "pile_set_name": "DM Mathematics" }
placement from {q: 1, f: 2, t: 1, i: 6, s: 2}. What is prob of sequence ftq? 1/660 What is prob of sequence xbbb when four letters picked without replacement from {x: 1, b: 18}? 1/19 What is prob of sequence dz when two letters picked without replacement from yyzyzydzzyy? 2/55 Calculate prob of sequence zq when two letters picked without replacement from pnnpzq. 1/30 Two letters picked without replacement from {z: 7, y: 1, f: 11}. What is prob of sequence zy? 7/342 Calculate prob of sequence wpp when three letters picked without replacement from {w: 6, p: 6}. 3/22 What is prob of sequence gtt when three letters picked without replacement from xztzxxgxtgzzzgtgttt? 20/969 Calculate prob of sequence sjls when four letters picked without replacement from {l: 4, s: 9, j: 1, r: 2}. 3/455 What is prob of sequence prp when three letters picked without replacement from rrprrp? 1/15 Calculate prob of sequence ssr when three letters picked without replacement from rsssssssssssssssss. 1/18 Four letters picked without replacement from {a: 1, d: 1, k: 1, t: 1, r: 3}. What is prob of sequence katd? 1/840 Four letters picked without replacement from ufurpub. What is prob of sequence rfub? 1/280 Two letters picked without replacement from {q: 1, z: 1, p: 2, y: 5}. Give prob of sequence zy. 5/72 What is prob of sequence fth when three letters picked without replacement from fhcaftf? 1/70 Calculate prob of sequence iq when two letters picked without replacement from niqiiqnnriii. 1/11 Two letters picked without replacement from gfaafffasxa. Give prob of sequence ff. 6/55 Two letters picked without replacement from llflllllf. Give prob of sequence ll. 7/12 Two letters picked without replacement from vmoomvmvxxfoouo. Give prob of sequence vm. 3/70 Four letters picked without replacement from lvtplhlpvphpypyt. What is prob of sequence vyyl? 1/3640 Calculate prob of sequence uccm when four letters picked without replacement from {c: 2, m: 1, y: 1, u: 1}. 1/60 Two letters picked without replacement from {c: 3, s: 3, b: 6, g: 1, t: 1, z: 4}. What is prob of sequence ts? 1/102 What is prob of sequence si when two letters picked without replacement from iuhvuis? 1/21 What is prob of sequence um when two letters picked without replacement from uyymmmlyymmmlmmm? 3/80 Calculate prob of sequence wwi when three letters picked without replacement from {i: 8, w: 3}. 8/165 Calculate prob of sequence yfy when three letters picked without replacement from feyyefefff. 1/72 Two letters picked without replacement from pjsp. What is prob of sequence pj? 1/6 Three letters picked without replacement from {y: 6, z: 12}. What is prob of sequence yzy? 5/68 What is prob of sequence hmhm when four letters picked without replacement from mmhhppmpmmhp? 1/99 Three letters picked without replacement from rddtrtrrtrdddt. Give prob of sequence trd. 25/546 Calculate prob of sequence pjlp when four letters picked without replacement from {p: 4, j: 3, l: 1, y: 7, s: 3}. 1/2040 Calculate prob of sequence cc when two letters picked without replacement from {c: 9, x: 9}. 4/17 What is prob of sequence yaz when three letters picked without replacement from mzayzmyzmyaszmmm? 1/140 Two letters picked without replacement from vvoovvovvvoovohoqh. What is prob of sequence oq? 7/306 Four letters picked without replacement from ggvvvvvgvg. What is prob of sequence vvvv? 1/14 Calculate prob of sequence ar when two letters picked without replacement from {r: 2, a: 1}. 1/3 Four letters picked without replacement from jtjlq. Give prob of sequence lqjt. 1/60 What is prob of sequence byby when four letters picked without replacement from fayabyub? 1/420 Four letters picked without replacement from {j: 1, g: 7, b: 2, h: 2}. What is prob of sequence gggb? 7/198 Four letters picked without replacement from kkkhkhhhkkhkhhhhkhk. What is prob of sequence kkkh? 35/646 Two letters picked without replacement from aoxooooaoooooxo. Give prob of sequence xx. 1/105 Three letters picked without replacement from bdmmdtdzbmdt. What is prob of sequence mdd? 3/110 Two letters picked without replacement from {w: 2, a: 1, c: 1}. What is prob of sequence wa? 1/6 Four letters picked without replacement from diqiiiqiii. Give prob of sequence diqi. 1/60 Two letters picked without replacement from {p: 1, h: 1, c: 8, a: 6, e: 1}. Give prob of sequence pa. 3/136 Four letters picked without replacement from {x: 11, m: 1, a: 3, g: 4}. What is prob of sequence xaxx? 165/5168 What is prob of sequence fff when three letters picked without replacement from fhhfffffffff? 6/11 Three letters picked without replacement from vbvfbbkbbbfxvbbbxib. What is prob of sequence fvf? 1/969 Four letters picked without replacement from {a: 9, h: 2, j: 7}. Give prob of sequence jahh. 7/4080 What is prob of sequence woly when four letters picked without replacement from wwwywolww? 1/504 Two letters picked without replacement from eazmxap. Give prob of sequence mp. 1/42 Calculate prob of sequence yyay when four letters picked without replacement from {y: 11, a: 5}. 165/1456 What is prob of sequence gq when two letters picked without replacement from qqbzqngzqgbqnqqqgqq? 5/57 Four letters picked without replacement from {d: 3, f: 1, r: 3}. Give prob of sequence drdd. 3/140 Two letters picked without replacement from vvvvbvbvvv. What is prob of sequence vv? 28/45 Two letters picked without replacement from {q: 1, j: 1, v: 1}. Give prob of sequence vj. 1/6 Four letters picked without replacement from {z: 1, j: 9, m: 3, d: 2, p: 3}. Give prob of sequence pmpz. 1/4080 Three letters picked without replacement from {r: 10, e: 4}. Give prob of sequence rre. 15/91 What is prob of sequence rqn when three letters picked without replacement from mrrnnqrqm? 1/42 Calculate prob of sequence uq when two letters picked without replacement from uxhgxqq. 1/21 Calculate prob of sequence vl when two letters picked without replacement from vqhyhvql. 1/28 Three letters picked without replacement from {y: 7, q: 5}. Give prob of sequence qyy. 7/44 Three letters picked without replacement from {v: 7, z: 12}. What is prob of sequence zzz? 220/969 Two letters picked without replacement from ppwwppwwwwwwwpwwwwp. Give prob of sequence pw. 13/57 Two letters picked without replacement from {p: 2, v: 11}. Give prob of sequence pv. 11/78 What is prob of sequence ar when two letters picked without replacement from {m: 1, h: 4, a: 2, r: 3}? 1/15 Three letters picked without replacement from {b: 1, h: 3, r: 2, x: 6}. What is prob of sequence hhh? 1/220 Calculate prob of sequence lnn when three letters picked without replacement from ttbtnnebilellel. 4/1365 Two letters picked without replacement from dddddddgddddd. What is prob of sequence dd? 11/13 What is prob of sequence tntn when four letters picked without replacement from {n: 8, t: 4, l: 5, s: 2}? 7/969 Three letters picked without replacement from hhnnanonaooohh. Give prob of sequence hhn. 2/91 Calculate prob of sequence xrzu when four letters picked without replacement from rjuaxzx. 1/420 Calculate prob of sequence sssr when four letters picked without replacement from {s: 4, a: 3, r: 1}. 1/70 Three letters picked without replacement from sttssstsssssssmmss. What is prob of sequence ttm? 1/408 Four letters picked without replacement from skkksuaspkksbususpbp. Give prob of sequence aupp. 1/6460 Calculate prob of sequence zvrv when four letters picked without replacement from vrvvzzz. 3/140 Two letters picked without replacement from {z: 14, g: 1, l: 5}. What is prob of sequence zz? 91/190 Four letters picked without replacement from {s: 3, q: 1, i: 3, c: 5, x: 1, f: 2}. What is prob of sequence sxis? 1/1820 Two letters picked without replacement from xobooofxofbxxosf. Give prob of sequence ox. 1/10 What is prob of sequence hhsf when four letters picked without replacement from shshshhhsshsssf? 2/273 Three letters picked without replacement from {f: 1, r: 2}. Give prob of sequence rfr. 1/3 What is prob of sequence wow when three letters picked without replacement from {w: 7, i: 5, o: 2}? 1/26 Two letters picked without replacement from {d: 2, c: 2, n: 8, j: 3}. What is prob of sequence cc? 1/105 What is prob of sequence lrr when three letters p
{ "pile_set_name": "DM Mathematics" }
-4490, -5951, -7386, -8789, -10154, -11475? -12746 What is the next term in -2907, -23301, -78653, -186441, -364143, -629237, -999201? -1491513 What is the next term in -784, -575, -30, 1019, 2740, 5301, 8870? 13615 What is next in 115, 450, 1005, 1780, 2775, 3990? 5425 What comes next: -96, -176, -258, -342, -428? -516 What is the next term in -112, -367, -812, -1453, -2296? -3347 What comes next: -545, -579, -575, -533, -453, -335, -179? 15 What comes next: 79322, 158640, 237958, 317276, 396594, 475912? 555230 What is next in -194, -315, -524, -827, -1230, -1739, -2360, -3099? -3962 What is next in 194, 217, 52, -307, -866, -1631? -2608 What is next in -777386, -1554770, -2332154? -3109538 What is next in -10715, -21504, -32293, -43082? -53871 What is next in -21296, -42606, -63916, -85226? -106536 What is next in -34, -144, -370, -766, -1386, -2284, -3514, -5130? -7186 What is next in 2681, 2777, 2873? 2969 What is the next term in 62623, 125119, 187615, 250111, 312607, 375103? 437599 What is next in -555, -502, -437, -354, -247, -110, 63? 278 What comes next: 480, 1908, 4282, 7596, 11844, 17020, 23118? 30132 What comes next: -69, -199, -419, -729, -1129, -1619? -2199 What is next in 305, 325, 381, 491, 673, 945? 1325 What is next in -30, -54, -100, -174, -282? -430 What comes next: 218784, 437566, 656348, 875130, 1093912? 1312694 What is the next term in 6611, 12929, 19225, 25487, 31703, 37861? 43949 What is the next term in -4404, -4398, -4388, -4374, -4356, -4334, -4308? -4278 What is next in -692, -1222, -1752? -2282 What is next in -5561, -5597, -5633? -5669 What is next in -39046, -39045, -39044, -39043, -39042? -39041 What is next in -305, -665, -1071, -1517, -1997, -2505, -3035, -3581? -4137 What comes next: -3803, -3808, -3815, -3824, -3835? -3848 What is the next term in 43, 40, -21, -182, -485? -972 What is next in -5700, -22812, -51334, -91266, -142608? -205360 What is next in 342152, 342151, 342150, 342149, 342148, 342147? 342146 What is next in 115467, 115463, 115467, 115485, 115523, 115587? 115683 What comes next: -151971, -151955, -151939? -151923 What is the next term in -1634, -12953, -43662, -103457, -202034, -349089, -554318? -827417 What comes next: 966, 4288, 9902, 17814, 28030? 40556 What is next in -20, -82, -226, -494, -928, -1570? -2462 What comes next: 326, 725, 1136, 1565, 2018, 2501? 3020 What is next in 1457, 3158, 4869, 6596, 8345, 10122, 11933? 13784 What comes next: -1687, -3827, -5979, -8149, -10343, -12567? -14827 What is next in 2683, 10683, 23995, 42607, 66507, 95683? 130123 What is the next term in 196145, 196146, 196147, 196148, 196149? 196150 What comes next: 14040, 28082, 42122, 56160, 70196? 84230 What is the next term in -14, -6, 60, 220, 510, 966? 1624 What is the next term in 750, 6060, 20478, 48558, 94854, 163920, 260310, 388578? 553278 What is next in -1973, -3945, -5917, -7889, -9861, -11833? -13805 What comes next: 630, 399, 168? -63 What comes next: 5789, 5793, 5797, 5801, 5805, 5809? 5813 What is next in -3861, -3905, -3945, -3981, -4013? -4041 What is the next term in 1092, 1068, 1046, 1026, 1008? 992 What comes next: -2240248, -2240254, -2240262, -2240272, -2240284? -2240298 What is next in -2720, -2761, -2804, -2849, -2896, -2945, -2996? -3049 What is the next term in 2108, 2004, 1900? 1796 What comes next: -29333, -28924, -28243, -27290, -26065, -24568? -22799 What is the next term in -30374, -60748, -91122? -121496 What is the next term in 2193, 4727, 7261, 9795, 12329, 14863? 17397 What is the next term in 5, -17, -69, -157, -287, -465, -697? -989 What comes next: 1257, 1230, 1207, 1188, 1173, 1162? 1155 What is the next term in -279, -409, -551, -711, -895, -1109, -1359? -1651 What comes next: 703, 738, 789, 862, 963, 1098, 1273? 1494 What is the next term in -81, -251, -717, -1629, -3137, -5391, -8541? -12737 What is next in -447, -314, -191, -84, 1, 58, 81? 64 What comes next: 7169, 13533, 19885, 26219, 32529, 38809, 45053, 51255? 57409 What is next in -578, -2356, -5334, -9518, -14914, -21528, -29366? -38434 What comes next: 255, 242, 229, 216? 203 What is next in 1986, 2004, 2022? 2040 What is next in 207, 725, 1587, 2793? 4343 What comes next: -2, -5, -16, -29, -38? -37 What is the next term in 3144, 2862, 2590, 2334, 2100, 1894? 1722 What is next in -6318, -6325, -6336, -6351, -6370? -6393 What is the next term in 4246, 33995, 114752, 272023, 531314, 918131, 1457980? 2176367 What is the next term in 44466, 88927, 133382, 177831, 222274, 266711? 311142 What comes next: 70, 102, 160, 256, 402, 610, 892? 1260 What is the next term in 900, 1636, 2372, 3108? 3844 What is next in 54647, 109305, 163963, 218621, 273279? 327937 What comes next: -137539, -137542, -137547, -137554, -137563? -137574 What is next in 157, 216, 281, 352, 429, 512, 601? 696 What is the next term in 48, -504, -1056? -1608 What is the next term in -1535, -3320, -5105, -6890, -8675, -10460? -12245 What is next in -1994, -7970, -17926, -31862, -49778, -71674, -97550? -127406 What is next in 13123, 26240, 39357, 52474? 65591 What is next in -5954, -5943, -5924, -5897, -5862, -5819, -5768? -5709 What comes next: -14786, -14614, -14444, -14276, -14110, -13946, -13784? -13624 What is the next term in 23, -31, -157, -355, -625? -967 What is next in -259039, -259040, -259041, -259042? -259043 What comes next: 715, 1849, 3739, 6385, 9787, 13945, 18859? 24529 What is next in 12571, 25134, 37699, 50266, 62835? 75406 What comes next: -458, -497, -530, -551, -554, -533, -482, -395? -266 What comes next: -443, -587, -731, -875, -1019, -1163? -1307 What is the next term in 989, 1100, 1285, 1544? 1877 What is next in -6336, -12673, -19010, -25347, -31684, -38021? -44358 What is next in -20428, -40877, -61326, -81775? -102224 What comes next: -1542, -802, -62, 678, 1418, 2158? 2898 What comes next: 13, -144, -405, -776, -1263, -1872, -2609, -3480? -4491 What is next in -1690, -1770, -1866, -1984, -2130, -2310? -2530 What is the next term in 944, 3593, 7964, 14057, 21872, 31409? 42668 What is next in 963, 2396, 3801, 5184, 6551, 7908, 9261? 10616 What comes next: -122, -59, 10, 55, 46? -47 What is the next term in 24442, 24450, 24458? 24466 What comes next: 61629, 61646, 61663, 61680? 61697 What is next in 1084, 1868, 2652, 3436? 4220 What is next in -406, -534, -672, -826, -1002, -1206, -1444? -1722 What comes next: 327, 316, 299, 276, 247? 212 What comes next: 129910, 259830, 389752, 519676? 649602 What comes next: -540, -679, -1044, -1743, -2884, -4575, -6924? -10039 What comes next: -18834401, -18834400, -18834399, -18834398? -18834397 What is next in -137929, -137932, -137935, -137938? -137941 What is next in 3415, 3718, 4021, 4324, 4627, 4930? 5233 What is next in -409436, -818863, -1228280, -1637681, -2047060, -2456411, -2865728? -3275005 What is next in 19600, 19612, 19624, 19636? 19648 What comes next: -23415, -23395, -23347, -23259, -23119, -22915? -22635 What comes next: 25288, 50578, 75868, 101158, 126448? 151738 What comes next: -3259, -6520, -9791, -13078, -16387, -19724, -23095, -26506? -29963 What is next in 138, 258, 352, 426, 486, 538, 588? 642 What is the next term in 332089, 664178, 996267? 1328356 What is next in 63, 157, 321, 561, 883, 1293? 1797 What is next in 346, 424, 636, 1048, 1726, 2736, 4144, 6016? 8418 What is next in -4017, -4029, -4041, -4053, -4065? -4077 What comes next: 220, 666, 1416, 2476, 3852, 5550, 7576, 9936? 12636 What is next in -40, -1, 44, 95? 152 What comes next: 1694, 6988, 15880, 28370? 44458 What is the next term in -22762, -182156, -614790, -1457284, -2846258? -4918332 What is next in -668, -639, -602, -557, -504, -443? -374 What comes next: -10954, -43841, -98654, -175393, -274058, -394649? -537166 What is the next term in 8, 14, 84, 266, 608, 1158? 1964 What comes next: 12791, 12847, 12903, 12959, 13015, 13071? 13127 What comes next: 7436, 14863, 22288, 29711, 37132, 44551, 51968? 59383 What is the next term in 231, 208, 173, 126, 67? -4 What is the next term in 10362, 10365, 10362, 10347, 10314, 10257, 10170, 10047? 9882 What is next in -7556, -7578, -7624, -7706, -7836, -8026, -8288? -8634 What is the next term in 10570, 10565, 10560? 10555 What is the next term in -154,
{ "pile_set_name": "DM Mathematics" }
at is 3*g(i) + 20*s(i)? 25*i**3 Let v(j) = -j + 2. Let w be (-27)/18 - (-10)/(-4). Let n be (-2 - 4)*2/w. Let a(g) = -2*g + 3. What is n*a(u) - 5*v(u)? -u - 1 Let u(n) = -7*n**2. Let z(m) = -8*m**2. Give 5*u(h) - 4*z(h). -3*h**2 Let q be 6*((-9)/(-3) - 2). Let m(b) = -5*b**2 + 5*b**2 + 4*b - q - 10*b**2. Let i(v) = -5*v**2 - 4 + 0*v**2 + 3*v - 2*v**2. Determine 7*i(y) - 5*m(y). y**2 + y + 2 Let u(s) = -7*s + 1. Let o(q) = -q. Let c = 2 - -1. Suppose -16 = 4*p + 5*y - y, 0 = c*p + 5*y + 18. Determine p*u(z) + 5*o(z). 2*z - 1 Let a(c) be the first derivative of c**3/3 - c**2 - 8*c + 33. Let h(g) = g**2 - 2*g - 7. Let l = 6 + 1. Determine l*h(n) - 6*a(n). n**2 - 2*n - 1 Let j(d) = -2*d**3 + 14*d**2 + 14*d - 14. Let l(c) = -5*c**2 - 5*c - 1. Let y(r) = -r**2 - r. Let o(i) = l(i) - 6*y(i). Determine 2*j(t) - 28*o(t). -4*t**3 Let g(y) = y**3 - 6*y**2 + y - 3. Let u be g(6). Let f(j) = j**3 - j**2 - j - 1. Let s(m) = 5*m**3 - m**2 - 5*m - 3. Calculate u*f(h) - s(h). -2*h**3 - 2*h**2 + 2*h Let c(z) = 5*z + 8. Let w(f) = f + 2. What is 2*c(u) - 9*w(u)? u - 2 Let s(x) = 2*x - 11. Let m(a) = -5*a + 32. Calculate 4*m(f) + 11*s(f). 2*f + 7 Let c(r) = 8*r + 6. Let w(o) = -o - 1. What is 5*c(a) + 35*w(a)? 5*a - 5 Let c(l) = -3*l**3 + 2*l**2 + 8*l. Let v(q) = 4*q**3 - 3*q**2 - 9*q + 1. What is 3*c(z) + 2*v(z)? -z**3 + 6*z + 2 Let d(w) = -w**3 - w**2 + w + 1. Let c(l) be the second derivative of -3*l**5/10 - l**4/6 + l**3/2 + 3*l**2/2 + 2*l. Give -c(n) + 3*d(n). 3*n**3 - n**2 Let t(q) = 0 - 9*q + 0 - 7. Let u(l) = -4*l - 3. Let r(v) = -2*v - 7. Let j be r(-6). Calculate j*u(f) - 2*t(f). -2*f - 1 Let i(f) = 3*f + 2. Let p(h) = h + 1. Let d = -6 - -12. Give d*p(a) - 3*i(a). -3*a Let p(a) = -a**3 + a + 1. Let x(l) = -l**3 + 4*l + 3. Let g(r) = -r**2 + 14*r + 36. Let v be g(16). What is v*p(d) - x(d)? -3*d**3 + 1 Let t be -1*(-3 + 6)/3. Let b(s) = -s**3 - 4*s**2 + 4. Let w(y) = y. Let d(v) = -v**2 + v + 1. Let h(q) = -d(q) + w(q). Determine t*b(a) - 4*h(a). a**3 Let f(k) = 3*k**3 + 3*k**2 - 5*k. Let h(u) = 3*u**3 + 3*u**2 - 4*u. Give 3*f(r) - 4*h(r). -3*r**3 - 3*r**2 + r Let k(o) = -2 - 4 + o + 5. Let r(t) = -t - 4. Let y be r(-5). Let u(l) = -2*l**2 - 4*l + 7. Calculate y*u(v) + 6*k(v). -2*v**2 + 2*v + 1 Let y(s) = 5*s - 2. Let x = -3 - -21. Let a = -16 + x. Let p(d) = 4*d - 2. Let z(l) = 12*l - 6. Let g(t) = -14*p(t) + 5*z(t). What is a*y(r) - 3*g(r)? -2*r + 2 Let v(h) = -2*h - 5. Let q be v(-4). Let t(u) = -2 + u**2 - q*u**2 + 0*u**2 + 4*u**2. Let m(z) = z**2 - 1. Calculate 5*m(x) - 3*t(x). -x**2 + 1 Let o(h) = 2*h**2. Let x(c) be the first derivative of -10*c**3/3 - 11. Determine 16*o(i) + 3*x(i). 2*i**2 Let r(l) = l**2. Let n(c) = -6*c**2 + c + 1. Give -n(q) - 4*r(q). 2*q**2 - q - 1 Let y(r) = 10*r**3 + 8*r**2 - 8*r - 8. Let t(c) = c**3 + c**2 - c - 1. Let u(d) = -d + 9. Let a be u(8). Calculate a*y(i) - 8*t(i). 2*i**3 Let u(l) = -21*l + 11. Suppose 2*q + 37 = -3*o, 2*o + 1 = -4*q - 29. Let w(g) = 4*g - 2. Give o*w(y) - 2*u(y). -2*y Let u(a) = a**2 - a + 1. Let y(h) = 9*h**2 - 12*h + 2. Let d(w) = -4*u(w) + y(w). Let s(g) = 4*g**2 - 7*g - 2. Let i = 11 + -5. Calculate i*s(n) - 5*d(n). -n**2 - 2*n - 2 Let h(c) = 3*c**3 - 2*c + 4. Let u(b) be the third derivative of -b**6/12 + 7*b**4/24 - 13*b**3/6 + 11*b**2. What is -7*h(n) - 2*u(n)? -n**3 - 2 Let x(z) = 4*z + 1. Let r(w) = 2*w. Let s(d) = d. Let y(n) = 4*r(n) - 7*s(n). Determine 2*x(t) - 6*y(t). 2*t + 2 Let x be (-117)/39 + 4*1. Let g(o) = o - 1. Let v(p) = -7*p. Determine x*v(a) + 5*g(a). -2*a - 5 Suppose -b - b = -g - 10, 16 = -3*g - b. Let s(h) = 7*h**2 - 5*h - 6. Let p(r) = -13*r**2 + 9*r + 11. What is g*p(o) - 11*s(o)? o**2 + o Let m(r) = 2 + 4*r + 2 - 2*r + 2 + 6*r**2 - 7*r**3. Let j = 20 - 14. Let x(a) = 6*a**3 - 5*a**2 - 2*a - 5. Determine j*x(c) + 5*m(c). c**3 - 2*c Let v(d) = 56*d + 5. Let u(c) = 19*c + 2. Calculate 8*u(p) - 3*v(p). -16*p + 1 Let a(c) = c**2 - 16*c + 17. Let f be a(15). Let s(j) = f*j**3 - 8 + 3*j**2 - j**2 - 5*j**3 + 7*j**3. Let k(g) = -g**3 + 1. What is 6*k(i) + s(i)? -2*i**3 + 2*i**2 - 2 Let o(x) = -x**2. Let f(h) = -6*h**2 + 8. Calculate f(p) - 4*o(p). -2*p**2 + 8 Let a = 16 - 1. Let f(j) = -15*j + a*j - j**2 - 3. Let m(c) = 1. Determine -f(z) - 3*m(z). z**2 Suppose -4*q + 0*q + 8 = 0. Let s(w) = 5*w**2 - 2*w**2 + w - 2*w**q - 1. Let t(o) = -5*o**2 - 6*o + 5. Suppose 4*m = 21 + 23. Give m*s(v) + 2*t(v). v**2 - v - 1 Let i(g) = -10*g + 9. Let d(h) = -9*h + 8. What is -7*d(v) + 6*i(v)? 3*v - 2 Let h(y) = y. Let s(l) = -l - 2. Let v be s(-4). Let i(z) = 6*z + v - z**2 + 1 - 5. Let g(j) = j + 2. Let r be g(-3). Calculate r*i(b) + 6*h(b). b**2 + 2 Let z = 1 - 3. Let v(p) = 3*p. Let f(q) be the second derivative of -2*q + 2/3*q**3 + 1/2*q**2 + 0. Give z*f(b) + 3*v(b). b - 2 Let g(f) = 4*f - 5. Let q(s) = 23*s - 29. Determine 34*g(d) - 6*q(d). -2*d + 4 Let z(n) = n**2 + 2*n - 7. Let u(t) = -3*t**2 - 9*t**2 + 17*t**2 - 36 + 11*t. Determine 2*u(a) - 11*z(a). -a**2 + 5 Let d(q) = -11 + 4*q**2 - 3*q**2 - 6*q + 4*q**2. Let i = 5 - 7. Let j(p) be the first derivative of p**3/3 - p**2/2 - 2*p - 15. Determine i*d(f) + 11*j(f). f**2 + f Let w(b) = -9*b - 2. Let v(z) = 4*z + 1. Determine -10*v(j) - 4*w(j). -4*j - 2 Let h(l) = 2 + 7*l - 2 - 3*l + 7*l**2 - 4. Let a(s) = -36*s**2 - 21*s + 21. Determine -4*a(f) - 21*h(f). -3*f**2 Let s(t) = -6*t + 11. Let x(j) = 2*j - 7. Let q(c) = 6*c - 22. Let f(h) = -3*q(h) + 10*x(h). Calculate 8*f(a) + 3*s(a). -2*a + 1 Let i(u) = 1. Let g(m) = 3*m - 10. Let o be g(3). Let a(p) be the second derivative of p**3/6 - 3*p**2 + p. Calculate o*a(w) - 6*i(w). -w Let l(y) be the second derivative of y**4/4 + y**3/2 - y**2/2 - 12*y. Let q(t) = -t**3 + t**2 + t - 1. Calculate l(n) - q(n). n**3 + 2*n**2 + 2*n Let y = 3 - 2. Let q(k) = 5*k**3 + 1 - 1 - 87*k**2 + 2 + 2*k + 83*k**2. Let v(x) = -x**3 + x**2 - x. What is y*q(a) + 4*v(a)? a**3 - 2*a + 2 Let t(a) be the first derivative of -7*a**2/2 + 6*a - 15. Let k(r) = -2 + 4 + r - 1 - 2. What is -5*k(j) - t(j)? 2*j - 1 Let b(u) = 65*u**3 + 25*u**2 + 25*u - 25. Suppose z - 5*z + 11 = r, 0 = -2*z + 5*r + 11. Let l(g) = -8*g**3 - 3*g**2 - 3*g + 3. Calculate z*b(n) + 25*l(n). -5*n**3 Let z(g) = 5*g - 4. Let u(v) = -20*v + 16. Let a(i) = -2*u(i) - 9*z(i). Let j = 0 + 3. Let d(m) = 9*m - 7. Determine j*d(r) + 5*a(r). 2*r - 1 Let y = 0 + 2. Let p(v) = 4 + 0 + 8*v - 5 - v**y + 5. Let o be -6*(2 + 2/(-2)). Let h(l) = l**2 - 7*l - 3. Calculate o*h(d) - 5*p(d). -d**2 + 2*d - 2 Let d = 3 + 2. Let v(g) = -6*g - 4. Let y(n) = 3*n + 2. Let q(p) = d*y(p) + 3*v(p). Let r(s) be the second derivative of s**3/6 + s. Determine -q(x) - 2*r(x). x + 2 Let y(q) = -6*q + 12. Let i(c) = 5*c - 11. Let g(v) = -4*i(v) - 3*y(v). Suppose 0 = -3*d + 4*d. Suppose 2*o + d = -12. Let w(m) = 1. Calculate o*w(b) + g(b). -2*b + 2 Let f(z) = 9*z**3 - 2*z**2 + 2*z. Let b(p) = -19*p**3 + 4*p**2 - 4*p. Determine -4*b(o) - 7*f(o). 13*o**3 - 2*o**2 + 2*o Suppose -5*x = -3*x + 10. Let s(m) = m**3 - 12*m + 12*m + 3 + m**2 - 4. Let y(c) = -4*c**3 - 4*c**2 + 4. Give x*s(h) - y(h). -h**3 - h**2 + 1 Let h(x) = 4*x**2 - 7*x - 7. Suppose y - 5 = 1. Let u(r) = -3*r**2 + 6*r + 6. Give y*u(n) + 5*h(n). 2*n**2 + n + 1 Let i(j) = 8*j - 5. Let c(o) = o - 1. Let v(k) = -6*c(k) + i(k). Let r(l) = -l - 1. Give 3*r(b) + 2*v(b). b - 1 Suppose 34 + 213 = -19*m. Let d(c) = 7*c**2 + 6*c - 6. Let a(z) be the second derivative of -5*z**4/4 - 13*z**3/6 + 13*z**2/2 + z. What is m*d(r) - 6*a(r)? -r**2 Let s(t) = -3*t**3 - 2*t**2 - 2*t - 1. Let q be s(-1). Let n(y) = y**2 - 4*y + 3*y + q*y + 5. Let r = -11 - -8. Let p(v) = -v - 4. Give r*p(x) - 2*n(x). -2*x**2 + x + 2 Let u = -4 + 42. Suppose 4*m = u - 14. Let v(g) = 7*g + 2. Let p be 0 + 4 + 1 + 0. Let h(d) = -8*d - 2. What is m*v(n) + p*h(n)? 2*n + 2 Let k(j) = -j + 1. Suppose o + 4*o + 1 = -4*t, 4*t + 4*o = -4. Suppose 2*q - 7 = 5. Let s(d) = -4 + q*d - 1 + 0*d. Calculate t*s(w) - 22*k(w). -2*w - 2 Let d(f) = -9*f**3 - 6*f**2 - 2. Let h(c) = -c**3 - c**2. Let b(q) = -d(q) + 6*h(q). Let l(s) = 2*s**3 - 4 - 6*s**3 + 5 + 5*s**3. Determine -b(t) + 2*l(t). -t**3 Let j(p) = -9*p**2 - 11*p - 11. Let b(h) = 5*h**2 + 6*h + 6. Suppose 5*w + 1 - 21 = 0. Let q = 7 - w. Suppose 3*d = 21 - q. Calculate d*j(f) + 11*b(f). f**2 Let k(z) = z + 1. Let b(r) =
{ "pile_set_name": "DM Mathematics" }
en. 20 Let w = -5.671052 - -5.67. What is w rounded to four decimal places? -0.0011 Let x = 1644 - 1644.0032. Round x to one decimal place. 0 Let v = 336 - 350.1. Let g = v + -56.9. Let n = g + 79.4. Round n to the nearest integer. 8 Let d be 27/5 - (-4)/(-10). Suppose j = -d*o - 800, -497 = 3*o - j + 5*j. Let f = o + 69. What is f rounded to the nearest 100? -100 Let g(x) = x**3 + 5*x**2 - 6*x + 3. Let s be g(-6). Suppose 0 = 2*l + y - 1774, -l + 2*y - s*y + 885 = 0. Let o = l + -559. Round o to the nearest 100. 300 Suppose -o = -11691710 - 308290. Suppose n - o = 2*s - 0*s, -s = 0. Round n to the nearest one million. 12000000 Let v be (0 - (-8 + 2)) + (-3 - 0). Suppose -2*n + 2*o - 739996 = 0, 1480006 = v*n - 7*n - 3*o. Round n to the nearest one hundred thousand. -400000 Let b(x) = 14373*x + 16. Let z be b(8). Round z to the nearest 10000. 120000 Let y = -925157710.51168271071930878 - 0.28831886928069122. Let w = y + 925157726. Let x = w + -15.2. What is x rounded to 7 decimal places? -0.0000016 Let r = 22 + -19. Let b be -2 + 0 + (r - 148). What is b rounded to the nearest ten? -150 Let v = -2.6507826 + 2.651. Round v to six dps. 0.000217 Let b = 5 - 4.55. Let o = -0.71 - -0.98. Let d = o + b. Round d to 1 decimal place. 0.7 Suppose 4*w + 2*x = -273 - 671, 1179 = -5*w - 3*x. Let y = w + 470. What is y rounded to the nearest 10? 230 Suppose -2*d = 12 + 2. Let h = 7 + d. Suppose h*v + 2*v = 0, -3*v = -n + 80000. Round n to the nearest 100000. 100000 Suppose 4*z = 2*z + 446. Let m = z + 1. What is m rounded to the nearest 100? 200 Let b = 8 + -8. Suppose b*v = -v + 5. Let m be ((-4)/v)/(8/(-620)). What is m rounded to the nearest ten? 60 Let j = -323 - -323.0584. Round j to two decimal places. 0.06 Suppose 2*c = 4*c - 66. Let r(l) = c + 7843*l + 6691*l + 59219*l - 9. Let i be r(-8). Round i to the nearest one hundred thousand. -600000 Let j = -472 - -472.001436. What is j rounded to five dps? 0.00144 Let x = 6.734437 + -7.6344464. Let g = 8.1 - 9. Let c = g - x. What is c rounded to six decimal places? 0.000009 Let l = 12267.6 + -13412. What is l rounded to the nearest ten? -1140 Let f = -3481 + 3261.3. Round f to the nearest 10. -220 Let r(h) be the third derivative of -9499*h**5/60 - h**4/6 + 2*h**3/3 + 23*h**2. Let j be r(2). Round j to the nearest one thousand. -38000 Let w = -0.712911 - -1.4528263. Let i = 0.74 - w. What is i rounded to 5 decimal places? 0.00008 Let g = 0.0402 + 24.8598. Let x = g - 23. Let t = x + -1.89983. Round t to 4 dps. 0.0002 Let y(a) = 3157*a**3 - 13*a**2 - 37*a + 13. Let v(f) = f**3 - 7*f**2 + 4*f - 17. Let j be v(7). Let z be y(j). What is z rounded to the nearest 1000000? 4000000 Let j(z) be the first derivative of -23*z**3/3 - 3*z + 17. Let r be j(3). What is r rounded to the nearest 100? -200 Let v(q) be the first derivative of 2100925*q**3/3 - q**2/2 + q - 1. Let z be v(2). Let o = z + -5583699. What is o rounded to the nearest 100000? 2800000 Let a = -11.90971 + 0.20736. Let w = a - -1.70805. Let t = 10 + w. What is t rounded to three decimal places? 0.006 Let b(q) = 11*q**2 - 3*q + 3. Let a be b(1). Suppose 0 = -2*l + g + 2*g - a, 4*g - 16 = 2*l. Let h be (6 + -316506)*l/3. Round h to the nearest ten thousand. -210000 Suppose 2*y - 337 = -a + 66, 4*a - 5*y - 1625 = 0. Let q = a + -229. Round q to the nearest 10. 180 Let k = 0.421 + -0.4209661. What is k rounded to six decimal places? 0.000034 Let m(c) = -2*c**3 - 6*c**2 - 12*c + 12. Let o be m(-6). Suppose -2*n + 95 = 5*j + o, 0 = -5*n + 3*j - 559. Round n to the nearest one hundred. -100 Let z = 6672.16849 - 6672. Round z to 3 decimal places. 0.168 Let u = -80716.33179 - -80715. Let c = -1.33 - u. Round c to 4 decimal places. 0.0018 Suppose -4*m + 40 = z + 8, -5*m + 4*z + 61 = 0. Let a be 6*6/m + 9996. What is a rounded to the nearest 1000? 10000 Let r = -8.28 + 8. Let s = r + 2.63. What is s rounded to 1 decimal place? 2.4 Let p = -11.298 + 0.578. Let z = -10 - p. What is z rounded to one dp? 0.7 Let v = 287520.338045 + 0.661955. Let u = 287548.9933 - v. Let i = 28 - u. Round i to three decimal places. 0.007 Let h = 353920 - 353878.00025. Let d = h - 42. What is d rounded to 4 decimal places? -0.0003 Let w = -5.29 - -4.6. Let b = w - -0.99. What is b rounded to the nearest integer? 0 Let k = -25.8 + -7.2. Let m = 584 - 550.9. Let h = m + k. What is h rounded to two dps? 0.1 Let q = -3.44 + 2.37. Let z = -0.11 + q. What is z rounded to 1 dp? -1.2 Let x be -5 + 2326659/(-21) + (-4)/(-14). Let u = x + 163798. What is u rounded to the nearest 10000? 50000 Suppose 4*s = -2*m + 5*s + 24, 4*s = 16. Suppose 0 = -m*k + 5677290 - 483290. What is k rounded to the nearest ten thousand? 370000 Let i = 2953 + -2947.644. What is i rounded to the nearest integer? 5 Let d = 0.417 + -1.679. Let t = d + -1.092. Let x = t + 0.214. What is x rounded to one decimal place? -2.1 Let g = 8.0000201 + -8. What is g rounded to six decimal places? 0.00002 Let n = 6.934 - 7. Let r = 1.644 - n. Let y = -0.95 - r. What is y rounded to one decimal place? -2.7 Let a = 50.6 - 50.58598. What is a rounded to three decimal places? 0.014 Let m = -0.12404 - -0.033. Round m to 2 dps. -0.09 Let l = -2933726.997 - -3023984.69704. Let g = 90260 - l. Let j = -2.3 + g. What is j rounded to 4 dps? 0 Suppose 14624 = 8*u - 1928. Suppose 2*t = -2*a + 3070, -4*a + u = -5*t - 4026. Round a to the nearest 100. 1500 Let w(y) = y**2 + 12*y + 20. Let p be w(-10). Suppose p = -4*d - 3*u + 4*u - 9683, 0 = -4*d + 3*u - 9689. What is d rounded to the nearest one hundred? -2400 Let o = 2.6908 - -19056.3092. Let c = o + -19058.81974. Let a = -0.18 + c. What is a rounded to four decimal places? 0.0003 Let n = -405 - -405.323. Let x = -0.129 + n. What is x rounded to two decimal places? 0.19 Let w = -285 + 291.54. What is w rounded to the nearest integer? 7 Let d = -0.201 - -0.441. What is d rounded to 2 decimal places? 0.24 Suppose -3 = 4*j - 15. Suppose 736615 = -j*g - 28385. What is g rounded to the nearest ten thousand? -260000 Let g = -7 + 10. Suppose -17*j + 15*j - 4 = 0. Let p be 0 - j - 219999 - g. What is p rounded to the nearest 100000? -200000 Let u = -6.644 - -0.044. Let d = u + 6. Let j = d + 0.60004. What is j rounded to 5 decimal places? 0.00004 Let m = -19 - -23. Suppose 196 = -m*t + 5676. Suppose 6*y - t = 6490. Round y to the nearest 100. 1300 Let s = 58855 - -10084. Suppose 177339 - s = -4*x. Round x to the nearest 1000. -27000 Let g be ((-192)/7 + 0)/(142/(-72375625)). What is g rounded to the nearest one hundred thousand? 14000000 Let l = 2034.9021 - 2035. Round l to two decimal places. -0.1 Suppose 0*x - 5 = -5*x. Suppose 3*d = -k + x, -5*d = -4*k - 0*d - 47. Let f be 78/(k/(-4)) - 2. What is f rounded to the nearest 10? 40 Let g be (-108)/(-16) - 0 - 9/12. Let t(y) = 11 + 0 + 2*y - 10*y. Let d be t(g). Round d to the nearest 10. -40 Let s = -2004.997418 + 2005. What is s rounded to three dps? 0.003 Let k(b) = 4*b - 2. Let q = 2 - 5. Let v be k(q). Let y be (-6)/v - (-12)/(-28). What is y rounded to two decimal places? 0 Let i = 4807.309 - 4813. Round i to 1 dp. -5.7 Let o = 0.03459566 - 0.0346. What is o rounded to six decimal places? -0.000004 Let g = -9 - -33. Let s = g + -36. Let o = s - -11.999944. Round o to five dps. -0.00006 Let t = -3.209 + 5.0711. What is t rounded to one decimal place? 1.9 Let b = -0.012 + -1.388. Let p = 2.566 + -4.1. Let r = b - p. Round r to two dps. 0.13 Let w = -1031 - -971.48. What is w rounded to the nearest 10? -60 Let b = 4468.302 + -4473. Let y = 3.67 + b. Let i = -1 - y. Round i to 2 decimal places. 0.03 Let k = 2.7 + -3.18. Let t = k - -0.479958. What is t rounded to 5 dps? -0.00004 Let g = -195309831 + 22089511. Let l = -173220309.9999959 - g. Let u = l - 10. What is u rounded to six decimal places? 0.000004 Suppose -5*i = -8 + 23. Let y = i + 3. Suppose 4*f - t = t + 9604, y = -2*f - 3*t + 4794. Round f to the nearest 1000. 2000 Let o = 64 + -74. Let i = -37.3 - o. Round i to zero decimal places. -27 Let c = -9.849 + 10.01. Round c to two decimal places. 0.16 Suppose 5*u = -10, 161*p - u = 157*p - 26115998. Round p to the nearest 100000. -6500000 Let c = 12.349 - 12.34905791. What is c rounded to five decimal places? -0.00006 Let d = -2236 - -3361.
{ "pile_set_name": "DM Mathematics" }
f - 59. What is the smallest common multiple of -2 - (-4 + 2) - -2 and c? 2 Let s = 2177 - 2151. Suppose n = 5*u - 88, -3*u - 62 = -7*u + 5*n. Calculate the least common multiple of u and s. 234 Let x(w) = w**2 + 2*w - 7. Let r be x(6). Let a = r - 29. What is the least common multiple of 3 and a? 12 What is the common denominator of -13/30 and ((-2926)/48)/19 - -5? 120 Let c(u) = -5*u**2 + 15*u + 3. Let t(p) = 24*p**2 - 74*p - 16. Let y(o) = 14*c(o) + 3*t(o). Calculate the least common multiple of 11 and y(7). 88 Let i(g) = g**2 + 11*g - 55. What is the smallest common multiple of i(4) and 40? 40 Suppose 3*i - 236 + 62 = -3*c, 0 = -5*i + 4*c + 326. Suppose -5*o - 93 = -4*a, -3*o - i = -3*a - 7*o. Calculate the least common multiple of 2 and a. 22 Let c be (-20)/15*(2 + -11). Let a = c - -8. Suppose z - 48 = -2*z. What is the smallest common multiple of z and a? 80 Let j be (1 - 2) + 0 - -1. Suppose -10*y - 18 + 68 = j. Let c = 8 - 6. What is the smallest common multiple of c and y? 10 What is the least common multiple of 40 and (-4)/(-3) - (-15 + 247/39)? 40 Let b = -125315/21 - -5969. What is the common denominator of b and -35/57? 399 Let x(v) = v + 24. Let i be x(-8). Let h = i + 28. Calculate the smallest common multiple of h and 10. 220 Let j(q) = 5*q - 1. Let u(g) = -207*g**2 + 2*g + 2. Calculate the least common multiple of j(3) and u(0). 14 Let o(d) = -d**2 + 9*d + 18. Suppose -z + r - 6 + 20 = 0, -4*r = -z + 26. Calculate the lowest common multiple of o(z) and 14. 56 Suppose 3*c + 35 = 8*c. Let a be (-20)/150 - (-154)/30. Let q = c + a. What is the lowest common multiple of q and 18? 36 Calculate the common denominator of 85/22 and (-10)/25 + (-4)/((-3200)/628). 2200 Let r be (-5309)/((-3)/(-54)*-3). Let b = -1146869/36 + r. Calculate the common denominator of -13/20 and b. 180 Let k = 677 + -662. Calculate the lowest common multiple of 105 and k. 105 Suppose -131 = 4*i - 5*i - 5*p, 649 = 4*i - 5*p. What is the lowest common multiple of i and 2? 156 Suppose 1793 = 49*j + 323. Suppose 25 = f + 4. Calculate the lowest common multiple of j and f. 210 Let a = 11057/42549 - 6059967253/23401950. Let f = -5617/22 - a. Let b = f + -68/15. Find the common denominator of -44 and b. 25 Let l = -153 - -209. Calculate the least common multiple of l and 21. 168 Let x = 571/585 + 176/65. Let i = 86/39 + x. Calculate the common denominator of i and 46/63. 63 Let d be 5*(36/(-60))/(3/4). What is the lowest common multiple of 18 and (12/(-16))/(1/d)? 18 Let y(f) = -f**3 - 5*f**2 - 8*f - 3. Let x be y(-5). Let i = x - 17. Let l(k) = 2*k - 6. Calculate the lowest common multiple of l(6) and i. 60 Let n be ((-1587)/(-4))/(-21 + 18). Let i = 297/2 + n. Let l = -61429/28 + 2193. Find the common denominator of i and l. 28 Suppose 2*b = -2*i - 0 + 12, -3*b - 4*i + 14 = 0. Let p(q) = q**2 - 11*q + 12. Suppose -2*x + 7 + 21 = 0. Calculate the least common multiple of p(b) and x. 14 Let v(o) = 9*o**3 - o. Let d be (-4 - -1)/1 + 4. What is the lowest common multiple of v(d) and 2? 8 Calculate the common denominator of (-240)/360 - 1966/(-2400) and 27/8. 400 Suppose 13*n - 456 = -25*n. What is the smallest common multiple of 120 and n? 120 Suppose 340 = k - 62. What is the common denominator of -59/9 and k/(-18) + (-2 - (0 + -1))? 9 Suppose t + 0*t - 52 = -4*c, -3*t + 3*c + 81 = 0. Suppose 0 = k + 3*k + t. What is the common denominator of 131/12 and (-2)/k + (-231)/(-14)? 12 Let d be ((-3)/6)/(4/16*-1). Suppose -2*t - p - 53 = 0, 0*t - 77 = 3*t + d*p. Calculate the common denominator of 43/114 and t. 114 Let a be (-63)/(-84) + (-3779)/12. Let r = a - -297. What is the common denominator of -23/2 and r? 6 Let j(o) be the first derivative of 2*o**3/3 + 7*o**2/2 - 9*o + 7. Calculate the smallest common multiple of j(3) and 30. 30 Let q = -5108 - -9505. Let f = q + -52633/12. Let a = 4882/5 - 29657/30. Calculate the common denominator of f and a. 12 Calculate the common denominator of (-1625)/(-624) + (-36)/9 and 5/222. 1776 Suppose 0 = -r - 4*h - 111, 2*r = 5*r - 5*h + 282. What is the common denominator of -55/28 and (r/6)/((-72)/(-44))? 84 Let x = -23128/13 + 1780. What is the common denominator of x and 13/2? 26 Let h = 2971/1032 + -165/43. What is the common denominator of -89/222 and h? 888 Suppose 49 = -d + 18. Calculate the common denominator of -97/22 and (d - 0/5)/(-8). 88 Let s be -6 - 1009 - (-3)/(-3). Let f = s - -3011/3. Calculate the common denominator of f and -29/35. 105 Calculate the common denominator of (71/(-16))/(8/2 + -3) and -77/212. 848 Suppose b = 3*b - 14. Suppose 11*i - 8 = b*i. Suppose -h + 48 = 3*h. What is the least common multiple of h and i? 12 Let o = 45 - 81. Let k = -32 - o. Calculate the lowest common multiple of k and 24. 24 Let l(y) be the second derivative of y**5/20 - y**4/3 + 2*y**3/3 - 3*y**2 - 19*y. Calculate the least common multiple of 2 and l(4). 10 Calculate the common denominator of 81/4 and 18/15 - (-1707)/(-210). 28 Let g(a) = 4*a - 22. Let n(s) = 3*s - 15. Let f(p) = 5*g(p) - 7*n(p). Let k be f(-5). Find the common denominator of 119/20 and (-141)/(-96)*(1 + k). 160 Let f = 60 - -44. Let u = f + -96. Calculate the least common multiple of u and 12. 24 Suppose -3*l - 280 = 7*l. Calculate the common denominator of (-2 - l/72)*(-2)/(-3) and -9/8. 216 Let w = 52842397/21516 - 18861/652. Let f = w - 42288/11. Let v = -263441/186 - f. Find the common denominator of v and 81/20. 620 Let z = -12873/8 + 1614. Find the common denominator of 51/18 + 2 + -5 - 11 and z. 24 Let j(p) = 494*p + 14. Let m be j(4). Let o = -27843/14 + m. Calculate the common denominator of o and -25/26. 182 Let y = 253 + -59. Calculate the least common multiple of y and 18. 1746 Calculate the common denominator of 52/5 and ((-5)/((-30)/(-4)))/((-8)/(-6)). 10 Suppose 66 = -z + 21. Find the common denominator of (z/(-18))/((-7)/2) and (-35)/6*60/(-63). 63 Let r = -32611/2870 + 18/287. Calculate the common denominator of r and (268/(-30))/(28/(-35)). 30 Let c be 0 + 1 - (6 - 3). Let b be (-2 - (c - -64))*1. Calculate the common denominator of (-3 - b)/(2 + -4) and 45/11. 22 Let f = 21 + -16. Suppose 0 = -5*x - 5, -f*m + m - 3*x = -37. Suppose m = -4*w + 90. Calculate the smallest common multiple of 4 and w. 20 Let j(k) = -2*k + 34. Let p = -508844 - -145020752/285. Let s = p + -5/114. Find the common denominator of j(-5) and s. 10 Let d = -208 + 224. Calculate the smallest common multiple of d and 32. 32 Let c(s) = 74 - 116 - s + 59. Suppose -3*w - 4*j + 8 = 0, -w - 3*j = 2*j + 12. Calculate the smallest common multiple of 7 and c(w). 63 What is the least common multiple of 1055/50 + ((-4)/2)/20 and 33? 231 Let u = -2044729/99 + 20653. Calculate the common denominator of u and -95/72. 792 Suppose -5*t + 5*d + 30 = 0, 3*t - 4*d + 0*d - 20 = 0. Suppose 14571 - 551 = -t*y. Let f = y - -49185/14. Find the common denominator of -83/12 and f. 84 Let q(t) = t**2 - 2. Let h be q(1). Let y = h - -15. What is the least common multiple of 4 and y? 28 What is the least common multiple of (132/(-10))/(90/(-1950)) and 130? 1430 Suppose 0 = -5*x + 14 + 106. What is the smallest common multiple of 0 + (23 - (-95)/(-5)) and x? 24 Let d be -16 + -68 + 4/(-1). Find the common denominator of (-540)/d + 2 + -4 and -27/14. 154 Let l = -3263 + 3283. Calculate the least common multiple of ((-2)/3)/((-1)/12) and l. 40 Let x be (40/(-30))/(4/(-6)). Suppose -x*l = -l. Suppose 48 = -l*n + 3*n + 3*p, -5*p = n - 36. Calculate the lowest common multiple of n and 7. 77 Let b(q) = q**2 - 11*q - 70. What is the smallest common multiple of b(16) and 8? 40 Calculate the least common multiple of 11 and 24/3 + 2 - -8. 198 Suppose -7*b + 29 = 1. Suppose o = -3*f - 4, 8*f = o + 7*f - b. Calculate the least common multiple of o and 15. 30 Let l = -9 + 14. Let x = l + -1. Suppose -c + f + 2 = 0, -c + 4*f = 7 - 9. What is the smallest common multiple of x and c? 4 Let d be (-28004)/(-7784) - 4/6. Let w = -1/417 + d. Find the common denominator of ((-26)/80)/((-3)/(-12)) and w. 70 Calculate the common denominator of 25/176 and (-91)/(-132) - 2/(48/18). 528 Suppose 0 = 4*n - 3*i - 210, 2*n - 110 = -i - 0*i. Suppose w - n = 4. What is the smallest common multiple of w and 22? 638 Calculate th
{ "pile_set_name": "DM Mathematics" }
14*s, 4*s + 1968 = -4*y. Let p = 2442/5 + y. Which is the nearest to 0? (a) -2/5 (b) -2.7 (c) p a Let y = -5968.88 - -5969. Which is the closest to 3? (a) 4 (b) y (c) 1/3 (d) -2 a Let v = -14046 - -14041. What is the closest to 9/7 in 2/5, 8/7, v, -0.5? 8/7 Let h = -0.07395 - -0.27395. Which is the nearest to h? (a) -1/4 (b) 3.2 (c) -3 a Let s = -728601 - -728603. Let y(q) = -q - 8. Let p be y(-6). Let o be p/(-8) - (-6)/(-88). Which is the nearest to s? (a) o (b) 0.3 (c) 0.1 b Suppose 13*d - 3*d + 10 = 0. Let h be (-1 - d)/5*-1. Suppose 0 = -6*o - h*o - 18. What is the closest to 0.2 in o, 0.7, -5? 0.7 Let l = -2 + 7. Let d = -49 - l. Let h = d - -58. What is the closest to 0.1 in -5/6, 0, h? 0 Let q be (-11)/(-462)*12 + (-246)/4. Let p = q - -432/7. Which is the nearest to -2/3? (a) -5 (b) -3 (c) p c Let t = 313 + -287. Let q = t + -26.05. What is the nearest to 1/5 in -3, q, -1/5? q Let r = 3 + 2. Let p = 86 + -214. Let v = p - -129. Which is the closest to v? (a) 4 (b) -1 (c) r b Suppose -416 = 2*j + 5*s - 454, 5*s = j + 26. Which is the nearest to 0.3? (a) j (b) 0.08 (c) 2 (d) -0.4 b Suppose 0 = 38*y + 32 + 120. Which is the closest to y? (a) 0.4 (b) -2/3 (c) 1 b Let j = -0.4 + 0.7. Let l = 34337 - 309037/9. What is the nearest to -2.2 in 1/4, l, 0.1, j? l Let j = 15 + -11. Let u = 3.5 - j. Let r = 1304.5 + -1304.3. Which is the nearest to -1? (a) u (b) 1/7 (c) r a Let g = -1.881 - -1.9. Let m = -1943 - -1943.081. Let x = g + m. Which is the closest to 0.1? (a) x (b) 0.3 (c) -1 a Suppose -f = 6*f + 28. Let o be f/(-14) + (-2)/7. Let q = 8 + -9. What is the nearest to o in -0.3, 0.11, q? 0.11 Let d be ((-1)/(-4))/((-12)/32). Let p = 397 - 400.85. Let z = -4.25 - p. What is the nearest to -0.2 in d, -1, z? z Let n be 1521/91 + 2/7. Suppose 3*o + n = -3*w - 2*o, -2*w - 7 = -o. What is the nearest to -2/29 in w, -1, 2/7? 2/7 Let t = 289 - -58. Let j = t + -345. What is the closest to -13 in j, 3/5, 3? 3/5 Let k be (-30 + (-738)/(-24))/(((-18)/8)/(-1)). Let i = -6 + 8. Which is the nearest to k? (a) 5/4 (b) i (c) 0 c Let l = -225.9 + -58.1. Let v = l + 284.2. What is the nearest to 2 in -4, v, -0.2? v Let l = 179.13 - 179.13. What is the nearest to -5 in -2/21, -6, l, -2/7? -6 Let x = -5.12 + 5. Let l = 37.12 - 38. Let w = x + l. Which is the closest to w? (a) -4 (b) -0.4 (c) 1/2 b Let u = 9 - 42. Let w = 33.808 + -0.708. Let p = u + w. What is the nearest to p in -5, 2, 0.1? 0.1 Let p = 120 + -80. Let g be (p/(-60))/(16/30). Let s = -34 + 34.1. Which is the nearest to s? (a) g (b) -1 (c) 0.03 c Let g = 1.3 - 1. Let i = 2720 + -2721.943. Let r = i - 0.057. Which is the closest to r? (a) g (b) -0.4 (c) 2/3 b Let c = -4 - -4. Suppose -4*i + 12 = 2*i. Let w be (-1)/(i + (-10)/8). What is the closest to c in -2, w, -0.4? -0.4 Let b = -79.32 - -79.1. What is the closest to -1/4 in b, -1, -0.2, 0.2? b Let n = -104/5 + 21. Let q = 1.2241 - 10.2241. What is the nearest to q in -0.2, n, 0.3? -0.2 Let p = -2 + 3/2. Suppose -3*u = -2*u - 3. Let b = 406/57 + -425/57. What is the closest to b in u, p, -2/9? -2/9 Let x = -0.2 + 0.2. Let m = -21/4 - -11/2. Let n = -0.036 - -1.036. What is the nearest to x in m, n, 2? m Let h = -0.08713 + 0.48713. Which is the nearest to 1? (a) -0.5 (b) -15 (c) h (d) -1 c Let r = -0.7 + 0.3. Let c = 0.4 + r. Let y = 17976 + -17974. What is the nearest to 21 in y, c, 1? y Suppose 0 = 6*w + 6 - 0. Suppose -4*x = -t - 19, -4*x - 5*t + 10 + 15 = 0. What is the nearest to w in -0.1, x, 0, 1/5? -0.1 Let s be (-220)/414 + (-1204)/(-2709). What is the nearest to 2/5 in s, 4, 0? 0 Let m = -0.3 + 0.5. Let t be 15904/15840 - 10/45 - (-6)/(-10). What is the closest to 0.2 in m, 2/5, 0.1, t? m Let c = 0.07 - 0.37. Let b = 0.2 + c. Let f = -54941 - -219761/4. What is the closest to b in f, 0.5, -4/5? 0.5 Let s = -37522 - -37525. Let t(m) = -2*m + 2. Let u be t(3). Let r = u - -5. Which is the nearest to -1? (a) r (b) s (c) 2/5 c Let p = -0.6376 - 7.3624. Which is the nearest to 1? (a) -3/2 (b) -1 (c) p b Let j = 272 + -293. Let v be j/126 - (-19)/6. Which is the closest to -2? (a) 5 (b) -0.1 (c) v b Let i = -17432 - -17433.5. Which is the nearest to 55? (a) i (b) 0.1 (c) -1 a Let h = 1442/10047 - 36/197. Which is the closest to 4? (a) h (b) 0.2 (c) -1 b Let l = 3738 - 3742. Which is the nearest to l? (a) 2 (b) -0.1 (c) -0.5 c Let q = 67.25 - 72.25. Which is the nearest to -0.06? (a) 6 (b) q (c) -0.6 (d) -3 c Let d = 0.8508 + -0.6408. What is the nearest to 0 in 9, 5, d, -3? d Let k = 136.55 + -129.6. Let i = 7.05 - k. Let v = 1.03 - 1. Which is the closest to i? (a) v (b) -0.2 (c) -0.1 a Let f(h) = -h**2 + 11*h - 28. Let l be f(5). Let n be (15/(-75))/(l/(-14)). Which is the nearest to 0? (a) -3/8 (b) n (c) 3 a Let i = -208328 - -208328.1. Let s = 10 + -6. Suppose n = -n - s. What is the nearest to i in n, 0.4, -4? 0.4 Let k = 1231 + -1235. Let a = -6 + 3. Let m be a - (1 + 11/(-2)). What is the closest to -1 in m, k, 0.1? 0.1 Let h be (7 + -8)/((-3)/(-38051)). Let s = -12799 - h. Let n = -115 - s. What is the nearest to 0.06 in -0.2, n, 4? -0.2 Let z = -22 - 7. Let c = z + 26. Let n = 78 + -77.88. What is the closest to 2/3 in -0.3, c, n? n Suppose r - 3*r = -4. Let u = -7965.5 - -7965.9. Which is the nearest to 0? (a) r (b) u (c) -16 b Suppose -20 = -0*d + d + 4*g, 0 = 5*d - 3*g + 8. Let c = 5198 - 5198. What is the nearest to 2/7 in d, -0.4, c? c Let a be (-2 - (-9)/(-18))*(-3)/(-10). Let w = 468.8 - 469. What is the nearest to w in a, -2, 2, 1/3? 1/3 Let d = 234 - 222. Let v = 8 - d. What is the closest to 0.3 in 1/8, 1/5, v? 1/5 Suppose 11 = -2*r + 7 + 6. What is the closest to -0.04 in 0.4, r, -1.1? 0.4 Let k = 112/23 + -5. Let w(p) = 2*p - 7. Let f be w(3). What is the nearest to 1 in f, 2, k? 2 Suppose 2*l - 4*l - b = -20, 4*l - 32 = 2*b. Let g = 19 - l. Let u be (-6)/g - 16/(-60). What is the closest to 1 in 2/11, -5, u? 2/11 Let k = -1.66 + 40.66. Let o = -39.03 + k. Let i be 1/4 - (-11)/(-76). Which is the nearest to -2/9? (a) -2 (b) o (c) i b Let g be (-1)/6 + 131/(-24). Let p = g - -209/40. Suppose u - 5 = -2*f, 3*f + 4*u - 2*u - 9 = 0. Which is the nearest to p? (a) -5 (b) f (c) 0 c Let p = -53.6 + 53.871. Let n = p + 0.229. What is the nearest to -2/9 in -5, n, 5? n Suppose 9508 = 14*o + 9564. What is the closest to -1/2 in 0.1, -1, o, -165? -1 Let y = -0.345 - -0.03. Let m = 0.185 - y. Which is the closest to -0.1? (a) -2 (b) m (c) 4 b Let m = -1359 + 1362. What is the nearest to -44 in m, -2/9, -2/11, 2? -2/9 Let u(h) = -h**2 - 52*h - 8. Let s be u(0). Which is the nearest to -8? (a) -2 (b) -5 (c) s c Let q(u) = u**3 + 79*u**2 + 6*u + 474. Let f be q(-79). Let p = 2.01 + -0.01. Which is the nearest to p? (a) f (b) 0.4 (c) -3 b Let l = 427 - 602. Let u = l - -175.3. Which is the nearest to u? (a) 6 (b) 0.1 (c) 1/7 c Let h = 1 + -1.4. Suppose -81 = 25*f + 19. Let z be (-3)/2*6/(-36). Which is the closest to h? (a) f (b) -3 (c) z c Let l be -174*2*2*3/(-36). Let n = l - 44. What is the nearest to 1/3 in -2/3, -1/2, n? -1/2 Let p = 1.2 + -0.2. Let m = -2473/930 - -721/310. What is the nearest to 1/4 in m, p, 0.08? 0.08 Let i = 0.6 + -1. Let f(y) = 8*y + 61. Let n be f(-6). Suppose n = -5*l - 2, -5*s + l + 18 = 0. Which is the nearest to 0.4? (a) -2/9 (b) i (c) s a Let j = -1.9 - -2. Let x be (-2)/((-6)/4 + 1). Let i = 2240 - 2242. What is the closest to x in j, -5, i? j Let q be 11*(-7)/(-693) + 687/(-6912). What is the nearest to 0.1 in 5, -3/4, q? q Let x = 0 - -5. Let w = 5 - x. Let k = 348497/7 + -49785. What is the closest to -5 in w, 4, k? w Let o = 3.46 - 3.4381. Let c = o - 0.9279. Let w = c - 0.094. What is the nearest to 1 in 2/7, w, -2/11? 2/7 Let l = 0.314 - 179.314. Let n = -177 - l. Let u = 48 + -143/3. Which is the nearest to n? (a) 2 (b) 0 (c) u a Let y = -132 + 136.76. Let o = 4.6 - y. Let p = o + 0.26. What is the nearest to 0 in 1, -0.6, p? p Let g = -3.083 - 0.687. Let f = 9.77 + g. Which is the nearest to 1? (a) f (b) -1/3 (c) -2/7 c Let t be 8/(176/(-15)) + 2/4. Let r = -50/33 - t. Which is the closest to 1/5? (a) -1/9 (b) r (c) 0.04 c Let a = -6.4 + 9. Let s = a + 0.4. Let q = 7856 + -785
{ "pile_set_name": "DM Mathematics" }
n = -109 - k. What is the remainder when n is divided by o? 12 Suppose -4*x - c = -25, -2*x - 4*c = -13 - 3. Calculate the remainder when 39 is divided by x. 3 Let j = -105 + 154. Let l be 2/(-4)*-2*-19. Let s = -6 - l. What is the remainder when j is divided by s? 10 Suppose -7 = -3*x - 5*d, -x - 2*d - 1 = 3*d. What is the remainder when x/10 + (-63)/(-5) is divided by 1*-3*17/(-51) + 7? 5 Calculate the remainder when (4 - -4) + -24 + 333 is divided by 38. 13 Let q = 68 - 20. Let b = -33 + q. Calculate the remainder when 43 is divided by b. 13 Let b(p) = -46*p**3 + p**2 + p + 1. Suppose -2*r + 23 = 5*g - 4*r, r = 3*g - 14. What is the remainder when b(-1) is divided by g? 2 Let p = 1102 - 1097. Calculate the remainder when 24 is divided by p. 4 Let t = 481 - 470. Let n = 79 - 37. Calculate the remainder when n is divided by t. 9 Suppose -25*f + 425 = -0*f. What is the remainder when 29 is divided by f? 12 Let b(r) = -r**3 + 13*r**2 - r + 26. What is the remainder when b(12) is divided by 77? 4 Suppose z - 91 = -5*o - z, 3*z = -6. Let m = 282 - 250. Let p = m - o. What is the remainder when 23 is divided by p? 10 Let t(m) = -m**3 + 8*m**2 - 6*m + 4. Suppose -156 + 4 = -2*f. What is the remainder when f is divided by t(7)? 10 Suppose 3*z = 2*d + 65, 17 = -5*z + 6*z + 4*d. Calculate the remainder when 333 is divided by z. 18 Let f(w) = -7*w - 2. Let m = 22 - 15. What is the remainder when m is divided by f(-1)? 2 Let d(k) = -k - 12. Let f be d(-17). Suppose -30 - f = -5*t. What is the remainder when 11 is divided by t? 4 Let u = 4 - -9. Let s(f) = -10*f + 7. Let w be s(-6). Let m = -44 + w. What is the remainder when m is divided by u? 10 Calculate the remainder when 135 is divided by (36/10)/((-3159)/(-520) - 6). 39 Let l be 4*(-20)/(-8) + -2. Suppose g + 2*x = l, 5*x - 28 = -4*g + 10. What is the remainder when 45 is divided by g? 9 Suppose 139 = 23*j - 22. Calculate the remainder when 10 is divided by j. 3 Suppose 2*u + 4*j = 16, u + 2*j + 2*j = 6. Let s = -23 + 52. Calculate the remainder when s is divided by u. 9 Let z be (117/(-6))/(12/(-128)). Suppose 3*p + 2*j - 46 = z, -2*p - 4*j = -172. Suppose -21*s + p = -17*s. Calculate the remainder when s is divided by 11. 10 Suppose -2604 - 11256 = -84*v. What is the remainder when v is divided by 47? 24 Suppose -863*j - 42 = -870*j. What is the remainder when 182 is divided by j? 2 Suppose -5*w = -3*v + 141, -w + 66 = -4*v + 254. What is the remainder when 563 is divided by v? 46 Let u(n) = 30*n**2 + 1. Let y(c) = -c + 5. Let o be y(4). Suppose 7*d - 8*d + i + 18 = 0, -29 = -2*d - 5*i. What is the remainder when u(o) is divided by d? 14 Suppose -5*s = q - 161, -31*s + 35*s = -q + 129. What is the remainder when 234 is divided by s? 10 Suppose 0 = -88*f + 65*f + 713. What is the remainder when 60 is divided by f? 29 Let i(u) = -u**2 + 6*u + 6. Let b = 3 + 2. Let y = 81 - 50. Calculate the remainder when y is divided by i(b). 9 Let z(v) = -39*v - 59. What is the remainder when 288 is divided by z(-3)? 56 Suppose 0 = -3*h + 96 + 216. What is the remainder when (-5)/(-2)*h/10 is divided by 9? 8 Let r = 235 - 129. Let u be 3 - (-3 + r)/(-1). Let d = u + -59. What is the remainder when d is divided by 8? 7 Suppose -3*f = 4*f - 154. Suppose 0 = -f*i + 15*i + 35. What is the remainder when 18 is divided by i? 3 Suppose 5*p + 81 = 4*q + 281, 4*p + 3*q = 129. Let b = -37 - -62. Calculate the remainder when b is divided by p*4*4/48 + 2. 11 Let h(c) = c**3 - 10*c**2 - 8*c + 23. Let o be 279/31 + 0/(-2) + 2. Calculate the remainder when h(o) is divided by 20. 16 Suppose 5 = 5*c, 2*n - 4*c - 74 = 20. What is the remainder when 241 is divided by n? 45 Let c(q) = 6*q - 6*q + 2*q - 1 + 0. Let f be c(-3). What is the remainder when (-3408)/(-56) + (-1)/f is divided by 16? 13 Let c = 42 - 19. Calculate the remainder when (1/(-5))/(245/(-83300)) is divided by c. 22 Let d be 3/9*-1 - (-14)/6. Suppose 38 = 2*r + 2*x, 5*x + 3 + 7 = d*r. What is the remainder when 27 is divided by r? 12 Suppose -g - 2*g - 12 = 0, 3*x + 3*g - 6 = 0. Suppose 2*o - 124 = -2*o. Suppose 0 = -5*w + o + 19. What is the remainder when w is divided by x? 4 Let k(t) = 11*t**2 + t + 1. Let l be (-12)/(-10)*15/6. Suppose 3*p - 1 + 4 = -l*i, 5 = -5*p - 2*i. What is the remainder when 32 is divided by k(p)? 10 Let x(j) = -j**3 + j**2 - 2*j + 38. Calculate the remainder when x(0) is divided by 23. 15 Let b = 40 + -33. Suppose b*x - 6*x = 12. What is the remainder when 33 is divided by x? 9 What is the remainder when 90 is divided by (48/(-11))/(24/(-132))? 18 Let k be (0 + 0 - 2) + -4. Let q be ((-2)/k)/((-5)/555). Let s = -22 - q. Calculate the remainder when s is divided by 6. 3 Let x = 27 + -27. Suppose x = -2*v + 3*v - 3. What is the remainder when 11 is divided by v? 2 Let l(r) = 7*r**2 - 3*r. Suppose -5 = i - 3*k + 5, -8 = 2*i - 3*k. What is the remainder when l(i) is divided by -2 + (-2 + 4 - -3) + 3? 4 Let x be 3 + -5 + 18/3. Suppose -x*i - i = -75. Calculate the remainder when i is divided by 4. 3 Suppose -4*s - 2031 = -5*i, 1213 = 3*i - 3*s + 2*s. Calculate the remainder when i is divided by 44. 7 Suppose -89*h + 117 = -86*h. Calculate the remainder when h is divided by 20. 19 Suppose 4*p = 5*k - 4*k - 255, 285 = k + 2*p. What is the remainder when k is divided by 40? 35 Let y = -59 - -29. Let j = 44 - y. Calculate the remainder when j is divided by 26. 22 Calculate the remainder when 620 is divided by (61/(-61))/((-3)/267). 86 Suppose -6*o - 2*x + 28 = -o, -20 = -4*o - 4*x. Suppose -4*u + 6 + 38 = 0. Calculate the remainder when u is divided by o. 5 Let u = 13 - -3. Calculate the remainder when u/(1*(-1)/(-4)) is divided by (-18)/(-1) - (1 - (-4)/8*-10). 20 Suppose 0 = 22*g - 1003 - 383. Suppose -14 = 3*q - 113. Calculate the remainder when g is divided by q. 30 Let a = -1999 - -2700. What is the remainder when a is divided by 47? 43 Let m(u) = 2*u**2 - 2*u + 5. Let x be m(0). Suppose 0 = -c + 3*c - w - 144, -2*c = -x*w - 160. What is the remainder when c is divided by 9? 7 Suppose -i + 17 = -3*m + 5*m, -3*i = -3*m + 21. Calculate the remainder when 327 is divided by m. 7 Let j = 118 - 74. Suppose -9*r + 4698 = 18*r. Calculate the remainder when r is divided by j. 42 Let d = 116 + -66. Let i = 6 + -2. Suppose i*j - 65 = -j. Calculate the remainder when d is divided by j. 11 Calculate the remainder when 76 is divided by (-9)/12*(-1392)/36. 18 Suppose -4*w - 1628 = -15*w. Suppose -4*h - 4*g + w = 0, 30 - 177 = -4*h - 5*g. What is the remainder when 145 is divided by h? 31 Let q = -1 + 10. Let s = 3372 - 3359. Calculate the remainder when s is divided by q. 4 Let z = -148 + 173. Calculate the remainder when 271 is divided by z. 21 Let s(n) = 2*n**2 + 16*n + 6 - n**2 - 4. Let w be s(-16). Suppose -38 = -w*q + 20. Calculate the remainder when 115 is divided by q. 28 Let c = -749 + 770. Let h(n) = 2*n**3 + 0*n**3 - 2*n - 4*n**3. Calculate the remainder when h(-3) is divided by c. 18 Suppose 30 = -3*f - 3*n, -3*f + 0*n = -5*n - 10. Let j(g) = g**3 + 5*g**2 - 5*g. Calculate the remainder when 47 is divided by j(f). 22 Let m(p) = -2*p**3 - 72*p**2 + 68*p + 8. Calculate the remainder when m(-37) is divided by 59. 53 Let n(j) = 2*j**3 - 6*j**2 - 14*j - 4. What is the remainder when n(5) is divided by 16? 10 Suppose 0 = -5*s + 272 + 53. Suppose -v + 39 = 2*v - 4*o, -3*o - s = -5*v. Calculate the remainder when 24 is divided by v. 11 Suppose 0 = -2*f + 3*h + 110, 53 + 49 = 2*f - h. Calculate the remainder when 157 is divided by f. 10 Suppose 8*z + 2*t = 3*z - 482, 3*z + 3*t = -291. Let m = z + 108. What is the remainder when 38 is divided by m? 2 Suppose 0 = 5*l - 20, c + c + l = 44. Let u = 27 - c. Calculate the remainder when 11 is divided by u. 4 Suppose s = 4*a - 115, -a - 2*s = -3*a + 56. Suppose -3*r + 486 = 6*b, 10*b - 11*b = 2*r - 72. Calculate the remainder when b is divided by a. 26 Suppose 3*u + 28 = 724. Suppose 0 = 57*b - 55*b - u. Calculate the remainder when b is divided by 24. 20 Calculate the remainder when 426 is divided by -2*(9592/16)/(-11). 99 Let d(g) = g**3 - 13*g**2 + 21*g + 14. Let s be d(11). Suppose s*k + 5*k = 1312. Calculate the remainder when k is divided by 33. 32 Let q be (-2 - -3)*-1*(-5 - -2). Suppose -5*o - q*s +
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 4 e when four letters picked without replacement from {e: 4}? 1 Four letters picked without replacement from {p: 7}. What is prob of picking 4 p? 1 Calculate prob of picking 3 s and 1 z when four letters picked without replacement from zsjznnzsjzsjdnq. 4/1365 What is prob of picking 3 l when three letters picked without replacement from yylaylaly? 1/84 Three letters picked without replacement from {j: 1, z: 7, i: 1, w: 9, c: 2}. Give prob of picking 3 z. 7/228 Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {j: 6, h: 6, r: 3}. 18/455 Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {y: 4, t: 2, i: 2, o: 1, s: 7}. 3/80 Four letters picked without replacement from {z: 3, n: 1, g: 2, c: 4, x: 1}. Give prob of picking 1 z, 2 g, and 1 c. 2/55 What is prob of picking 1 p and 1 a when two letters picked without replacement from {a: 9, y: 1, p: 2, k: 1}? 3/13 Two letters picked without replacement from dopddqdkq. Give prob of picking 1 d and 1 k. 1/9 Three letters picked without replacement from gggzzzzzzz. What is prob of picking 1 z and 2 g? 7/40 What is prob of picking 3 b when three letters picked without replacement from bcxfhhjbhhbhbjfbh? 1/68 Two letters picked without replacement from kakjjajajajkakjaa. What is prob of picking 1 j and 1 k? 3/17 Three letters picked without replacement from {d: 16, k: 4}. What is prob of picking 3 k? 1/285 Calculate prob of picking 1 u, 1 w, and 1 e when three letters picked without replacement from {t: 2, e: 2, n: 10, u: 1, w: 4}. 8/969 Four letters picked without replacement from zziieyyinzeesy. What is prob of picking 2 i, 1 s, and 1 z? 9/1001 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {c: 5, s: 1, m: 2, o: 2, z: 6}. 1/10 Four letters picked without replacement from ifiiizfhhff. What is prob of picking 1 h, 1 f, and 2 i? 8/55 Three letters picked without replacement from {w: 2, r: 1, j: 2, h: 1, s: 6, d: 5}. Give prob of picking 1 w, 1 r, and 1 s. 3/170 Two letters picked without replacement from xxlxhxllxlexeglxlxl. Give prob of picking 2 x. 28/171 Three letters picked without replacement from eaeqgnggandead. What is prob of picking 1 e and 2 g? 9/364 Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 1, u: 17}. 1/6 Three letters picked without replacement from hxexhehhhx. What is prob of picking 3 h? 1/12 Four letters picked without replacement from {g: 4, j: 3, w: 1, r: 4, h: 1, v: 4}. Give prob of picking 2 v and 2 j. 9/1190 Calculate prob of picking 1 q, 1 i, and 1 j when three letters picked without replacement from jjjhvijjvhkkvhjkqhk. 2/323 Two letters picked without replacement from {e: 1, b: 1, x: 1}. What is prob of picking 1 b and 1 e? 1/3 What is prob of picking 2 j when two letters picked without replacement from {d: 3, j: 2, y: 3}? 1/28 What is prob of picking 2 i and 2 u when four letters picked without replacement from iuiui? 3/5 Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {n: 1, k: 2, y: 2, o: 1, h: 2}. 1/14 Calculate prob of picking 4 t when four letters picked without replacement from zcyttcyzyytyyyyytyy. 1/3876 What is prob of picking 1 w, 1 o, and 1 f when three letters picked without replacement from bboobbbbfwfbbbwwbwof? 3/95 Three letters picked without replacement from {h: 2, y: 1, d: 2, n: 2, w: 1}. What is prob of picking 2 d and 1 y? 1/56 Calculate prob of picking 3 v and 1 b when four letters picked without replacement from vvvnvvvvvbv. 14/55 What is prob of picking 2 h and 2 i when four letters picked without replacement from ihii? 0 Four letters picked without replacement from iriir. Give prob of picking 2 i and 2 r. 3/5 Two letters picked without replacement from pvdvuppprpvrvgr. What is prob of picking 1 u and 1 p? 1/21 What is prob of picking 2 m when two letters picked without replacement from {z: 3, m: 15}? 35/51 Two letters picked without replacement from jxjjjx. What is prob of picking 2 j? 2/5 Three letters picked without replacement from ycckkcykckyk. What is prob of picking 3 k? 1/22 Three letters picked without replacement from vvvnvnv. What is prob of picking 2 v and 1 n? 4/7 What is prob of picking 2 h and 1 n when three letters picked without replacement from {h: 3, n: 5, k: 3}? 1/11 Four letters picked without replacement from {m: 2, g: 1, i: 1, w: 1, e: 2, q: 1}. What is prob of picking 1 m, 1 i, 1 e, and 1 g? 2/35 Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {t: 5, h: 8}. 70/143 Four letters picked without replacement from {s: 6, b: 1, x: 1, r: 1}. What is prob of picking 2 s, 1 b, and 1 x? 5/42 Calculate prob of picking 2 a when two letters picked without replacement from awwwazawwwwawzcca. 5/68 What is prob of picking 3 e and 1 s when four letters picked without replacement from esssshhsshessshssshs? 0 Four letters picked without replacement from ljjjjjjjjjjjj. Give prob of picking 1 l and 3 j. 4/13 Calculate prob of picking 3 s when three letters picked without replacement from {f: 1, m: 1, s: 3}. 1/10 Four letters picked without replacement from abmeaxymmbbayba. What is prob of picking 1 e, 2 b, and 1 a? 8/455 Four letters picked without replacement from {k: 1, d: 12, q: 3, w: 2, x: 1}. What is prob of picking 1 k and 3 d? 55/969 Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mnssvssvmv. 8/45 Two letters picked without replacement from {c: 11, h: 5}. What is prob of picking 1 c and 1 h? 11/24 What is prob of picking 1 v and 1 c when two letters picked without replacement from {h: 1, l: 5, a: 1, v: 1, c: 1}? 1/36 Calculate prob of picking 3 r when three letters picked without replacement from nnnnnnnnnrrnnnr. 1/455 Three letters picked without replacement from vvvvavvvvvvvvvavavvv. Give prob of picking 3 a. 1/1140 What is prob of picking 1 s, 1 r, and 1 j when three letters picked without replacement from {j: 2, w: 4, r: 1, h: 3, s: 1}? 2/165 Three letters picked without replacement from izivszbzizii. Give prob of picking 1 z, 1 i, and 1 v. 1/11 Four letters picked without replacement from {f: 6}. Give prob of picking 4 f. 1 What is prob of picking 1 g and 1 a when two letters picked without replacement from {w: 1, q: 4, a: 4, x: 1, g: 1}? 4/55 Three letters picked without replacement from yxmyxxy. What is prob of picking 2 y and 1 x? 9/35 What is prob of picking 3 e when three letters picked without replacement from {c: 5, m: 2, e: 3, x: 7}? 1/680 Three letters picked without replacement from {h: 5, p: 5}. Give prob of picking 3 p. 1/12 Three letters picked without replacement from {n: 2, w: 2}. What is prob of picking 1 n and 2 w? 1/2 What is prob of picking 1 d and 1 a when two letters picked without replacement from annendepnaaanapsesna? 3/95 What is prob of picking 1 w and 1 f when two letters picked without replacement from {r: 1, w: 1, h: 1, l: 1, f: 1}? 1/10 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {k: 2, o: 1, n: 1}. 1/6 Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {z: 3, t: 2, s: 2, x: 1, j: 9}. 1/340 Two letters picked without replacement from vnyyvvvyynyv. Give prob of picking 2 y. 5/33 Calculate prob of picking 3 z when three letters picked without replacement from zzzzz. 1 Calculate prob of picking 2 g when two letters picked without replacement from zzzgzgzg. 3/28 Four letters picked without replacement from {y: 1, t: 1, k: 3}. What is prob of picking 1 y and 3 k? 1/5 Two letters picked without replacement from {l: 4, x: 4, h: 7}. What is prob of picking 2 x? 2/35 What is prob of picking 2 t and 1 w when three letters picked without replacement from fzewttjtjjjwtfe? 12/455 Three letters picked without replacement from vfvvfhfgffcgvdh. Give prob of picking 1 d and 2 h. 1/455 Four letters picked without replacement from ykyvvykyk. Give prob of picking 2 v and 2 y. 1/21 Four letters picked without replacement from {t: 1, m: 5, w: 3, l: 4}. Give prob of picking 1 l, 1 m, and 2 w. 12/143 Two letters picked without replacement from {r: 2, e:
{ "pile_set_name": "DM Mathematics" }
Suppose -2*f = 5*b - 94, -5*f + b + 2*b + 173 = 0. Suppose 32*g - 45 = f*g. Let l(v) = v + 9. Let d be l(g). Solve d = -i - i + 2 for i. 1 Let i(n) = -n**3 + 9*n**2 - 8*n + 2. Let r be i(8). Suppose -2*j = -3*b - 22, 7*j + 2 = 5*j - b. Solve j*o = -r*o for o. 0 Let f(h) = h**3 + 8*h**2 + 6*h + 2. Let b be f(-7). Let g = -2714 - -2720. Solve -3*n - g - b = 0 for n. -5 Let i be 15/(-75) - (21/(-5) - 1). Let u(f) be the first derivative of -f**3/3 + 8*f**2 - 39*f - 28. Let d be u(7). Solve -d - 1 = -i*m for m. 5 Let h(f) = 12*f + 13 + 17 + f**2 + 34 - 27. Let k be (-6)/(-4) + 13/(-2). Let s be h(k). Solve 4*j - 10 + s = 0 for j. 2 Let j(u) = -u**3 - 18*u**2 + 18*u + 11. Let g be j(-19). Let m be (g/(-4))/(-5 + (-9)/(-2)). Suppose 4*l = -0 + 20. Solve -8*w + l*w + m = 0 for w. 5 Let h be 3 + (-2 - 0) - 41. Suppose -f = 5 + 25. Let u = f - h. Solve -d - 4*d + u = 0 for d. 2 Let o = 55 - 28. Suppose 3*a - o = -3*v, 3*v - 2*a = 2 - 0. Let p = -7233 - -7245. Solve -v*w + p = -0 for w. 3 Let y = -7967 + 7967. Solve -150*z + 158*z - 56 = y for z. 7 Suppose 10 = 2*a - 2*i, -2*a - i = -5*i - 12. Suppose 0*y - a*y = -32. Let s be 1 + -5 + y + -2 + 1. Solve 4*d + 1 + s = 0 for d. -1 Suppose 5*m = -2*i - 10, 0*i - 8 = 2*i + 4*m. Suppose 5 = -4*z + n + 2, -5*z - 5*n = -15. Let u be ((-18)/9)/(4/(-10) - z). Solve i*c - u = c for c. -5 Let m be 14/49 - 34/119. Let k be 0/(-2 + 4 + -3). Solve m*w - 4*w = k for w. 0 Let i be 8 + 8205/55 - (-8)/(-44). Solve 2*w - 167 = -i for w. 5 Suppose -5*h - 5 = 0, -4*o = -h + 6*h + 93. Let j(v) = -4*v**2 - 88*v + 10. Let c be j(o). Solve -c = -2*i + 4*i for i. -5 Let i be 19 + (-2)/(-5) + (-550)/125. Suppose -7*t + 43 = i. Solve -7*y = -t*y - 12 for y. 4 Let f(w) be the first derivative of 3*w**3 + w**2 - w + 16. Let a be f(1). Solve 4*q - a = -18 for q. -2 Let k = -17843 + 18575. Solve 0 = 748*a - k*a - 112 for a. 7 Let f be (8/2)/(11 + 150/(-14)). Let d(b) = -21*b + 314. Let k be d(f). Solve k*m = 23*m for m. 0 Let y(a) = 2*a**2 - 27*a + 15. Let b be y(13). Suppose b*c + c = 5*c. Suppose -w - 4*w = c. Solve w = -2*s - 0*s - 2 for s. -1 Suppose 0 = 2*k - 5*k + 4*v - 44, 5*v = 3*k + 43. Let j = 403 - 387. Let s be j/10 - k/40. Solve -1 = i + s for i. -3 Let j(y) = -38 + 28 - 20 + 3*y. Let z be j(11). Let n be 8*(10/2 - 4). Solve z*w + 20 = n*w for w. 4 Suppose 0 = -5*r - 203 + 943. Solve 38*w = 112*w - r for w. 2 Let v be (-2664)/(-666)*7/4. Solve 0 = 52*f - 45*f - v for f. 1 Let g be ((-27750)/(-80))/25 + 4/32. Solve 6 = -2*w + g for w. 4 Suppose -3*b + 388 = 394. Let j be (b - (-8)/5) + (-102)/(-5). Solve -j = 4*f - 16 for f. -1 Let z(r) = -r**3 + 3*r**2 - 3*r - 3. Let g be z(4). Let x = -23 - g. Suppose x*i - i = i. Solve -5 = -m - i*m for m. 5 Let a be 3 + 1/((12/(-16))/3). Let f be 112/168*(0 + a + 4). Solve f*b - 12 = -6 for b. 3 Suppose 32 = 2*i + 4*d, -175*i - 3*d = -172*i - 60. Solve 0 = i*n - 30*n + 48 for n. 8 Let w(y) = -919 - 775 + 1826 - 3*y. Let v be w(34). Solve -24 = -2*i - v for i. -3 Let n be -31*3/(-6)*32*(-23)/(-184). Solve 77 - n = -15*l for l. -1 Let r be (-3)/15 - 69/5. Let z = 1291 + -1305. Let f = z - r. Solve f = -6*v + 8*v - 6 for v. 3 Suppose 0 = -j + 3, r - 2*j - 5 = -3*j. Suppose -4*n + 82 = 5*b, b = 3*n - r*b - 75. Solve 0 = n*g - 24*g - 2 for g. -2 Suppose -869 = -49*s - 529 + 1914. Solve 20*r = s + 74 for r. 6 Let a(l) = l**2 + 11*l + 6. Suppose 5*u + 14 = -41. Let w be a(u). Suppose -11*q - w = -13*q. Solve 2 + 1 = q*d for d. 1 Let f = -1899 - -1933. Solve f*r + 1 - 35 = 0 for r. 1 Let t(j) = -j**3 + 4*j**2 - 3*j + 3. Let d be t(3). Suppose -d*v + 69 = 57. Suppose -3 = q + 3*c - 0, -v*c - 4 = -5*q. Solve q = 3*m + m for m. 0 Let b(l) = -4*l + 27. Let w be b(4). Let g(y) = -y**2 + 6*y + 5. Let a be g(6). Let z = 4 - 0. Solve a = z*u - w for u. 4 Let b be 0/(12 + (3 - 16)). Let c(d) be the first derivative of -d**3/3 - d**2/2 + 2*d + 1. Let s be c(0). Solve s*m + 10 = -b*m for m. -5 Suppose -7*h + 1276 - 5049 = 0. Let t = -539 - h. Solve t = 3*a + 2*a - 15 for a. 3 Let m(l) = 9*l - 52. Let y be m(6). Suppose -3*b = -4*j + 5, -80*b - y*j = -81*b - 5. Solve 0 = -7*u + 16 + b for u. 3 Suppose 2*o = 4*i + 63 - 171, 2*i - 46 = 5*o. Solve i*j - 57 = -225 for j. -6 Let h be (42/15 - 2)/((-20)/(-2550)). Suppose 95*r - 78*r = h. Solve 33*z - 30*z = -r for z. -2 Let g(d) = -333*d + 336. Let y be g(1). Solve 2*l + 3 + y = 0 for l. -3 Suppose -63*y + 130*y = 1072. Solve 21*s - 5 = y*s for s. 1 Suppose -2*f + 56 = -z, -1449*f + 1452*f - 88 = 2*z. Solve 70*h = f*h - 368 for h. -8 Suppose -4*z + 2*d + 2*d + 140 = 0, 2*z = -d + 55. Suppose 0 = 9*o - z + 12. Solve -4*a - 6 = o for a. -2 Suppose 7 = -2*a - 3, -3*k - 4*a + 1567 = 0. Solve -v - k = -523 for v. -6 Suppose -u = 2*a - 142, 0 = -2*u - 56 + 52. Solve 204*r = 192*r + a for r. 6 Suppose 4*h - 8*h = 968. Let s = h + 162. Let z = s + 83. Solve 0 = x - z + 7 for x. -4 Let x(i) = i**3 - 10*i**2 - 16*i + 44. Let q be x(11). Let u = q + 44. Suppose -3*o + 4*l = -31, -15 = -2*o + 3*o + 5*l. Solve -o*s + u = 13 for s. 4 Suppose 3*g + 0*g = -o + 353, 4*g = 16. Let h = o - 331. Solve -3*p = -h + 13 for p. -1 Let l(n) = -2*n**3 + 24*n**2 + n - 12. Let s be l(12). Solve 7*w - 74 + 39 = s for w. 5 Suppose -493 = -105*k - 178. Let p = 0 - 0. Solve r + 0*r + k = p for r. -3 Let o(z) = z + 23. Let s be 6/5*(-300)/20. Let k be o(s). Suppose -k*r + 58 = 43. Solve -r*f + 5 = 2*f for f. 1 Let u = 1057 + -1056. Let f = -117 + 138. Solve -f + u = -4*x for x. 5 Suppose 0 = -2*l + 5*z + 55, 4*l = -4*z + 3 + 65. Suppose -5*k + l = 4*w, 0 = -2*k + 5*w - 3*w - 10. Suppose 2*n - 7 - 11 = k. Solve -n = -4*v + 11 for v. 5 Let l be ((-2)/12)/((-1)/173) - (-139)/834. Solve l*z + 52 = 3*z for z. -2 Suppose -2*o = t - 364, 777 + 136 = 5*o + t. Solve 44*j = -17*j - o for j. -3 Suppose 47*n = -59*n + 85*n + 93303. Solve 0 = n*d - 4444*d + 4 for d. 4 Let n(w) be the third derivative of w**4/6 - 7*w**3/3 + 91*w**2. Let j be n(5). Solve 5 + 1 = -j*k for k. -1 Let v = -3543 + 3559. Solve -5*i = -i + v for i. -4 Let p be 6 + -1 - 38/(-304)*16. Let n = 1 - 1. Solve n = -p*v + 3*v for v. 0 Suppose 3*o - 55 = -5*l, -3 - 101 = -4*o + l. Solve -20*z = -15*z + o for z. -5 Suppose 11*x = -138*x + 9834. Solve 0 = -125*b + 136*b - x for b. 6 Let z(b) = -5*b + 24. Let c be z(5). Let q be -10 - 5 - 4*c. Let s(v) = v**2 + 12*v + 12. Let i be s(q). Solve -i = -4*p - 21 for p. -5 Suppose -138*a + 156 = -135*a. Solve -143*k = -156*k - a for k. -4 Let a be ((-3)/42*-8)/(-7*(-12)/294). Solve 0 = a*v - 9 + 11 for v. -1 Let t be (-1005)/(-40) + (-4)/32. Let d be 1/(-3) - (-742)/21. Suppose 2*i + t - d = 0. Solve 0 = -i*z + z + 16 for z. 4 Suppose -4*p - 3*k + 27 = 0, 5*p - 5*k + 4 = 29. Suppose 5*v - 13*v = 0. Suppose 4*x - 37 + 8 = -5*b, 2*b - x - 9 = v. Solve -p = b*d + 9 for d. -3 Let d = 874 + -866. Solve 4*q + d*q = 36 for q. 3 Suppose 81*w - 214*w = 59*w - 768. Suppose -l = -2*l. Solve l = w*a + 20 for a. -5 Let t(m) = m**2 + 4*m - 21. Let n be t(-7). Let q = 1 + 11. Solve 4*h - q = -n*h for h. 3 Suppose -12 = 12*a - 48. Suppose a*y + 45 = 2*v, 4*v + 2*y + y = 81. Let w = v + -16. Solve -w*n = -3*n + 4 for n. -2 Let j(q) = -q**3 - 11*q**2 + 27*q + 19. Let x be j(-13). Suppose 5*r - x*r - 2 = 0. Let c(k) = 3*k**2 + 8*k + 6. Let n be c(r). Solve 2*m = -n*m - 20 for m. -5 Suppose 96*r = 102*r - 18. Suppose 4*u = 3*i - r - 1, -3*u - 3 = 3*i. Solve 10*x - 1 + 1 = i for x. 0 Suppose -2*y = 3*i - 100, 3*i - 225 = -5*y + 8*i. Let w(j) = -j - 33. Let c be w(6). Let z = y + c. Solve 0 = -d - d + z for d. 4 Let q be ((-1)/(4/(-2))*0)/2. Suppose 3*f + 3 = -0*y + y, -6 = -2*y. Suppose -4*x + 2 + 38 = f. Solve q*p - 5*p = x for p. -2 Let a be (-2)/(-20) - (-7 - (-109)/(-10)). Solve -a*v - 21 = 15 for v. -2 Let x(p) = -53*p - 247. Let u be x(-5). Solve -13*l = -u*l - 15 for l. -3 Let u = 2022 - 2021. Solve 32*y = u - 33 for y. -1 Let g = -21383 + 21406. Solve g*s - 84 = -268 for s. -8 Let h = 621 - 1086. Let s be h/(-45) - (-1)/(-3). Solve -4*w + 6*w = -s for w. -5 Suppose -7 = 3*g - o - 32, 0 = 2*g - o - 17. Let q be g/(-14) - 156/(-28). Solve 5*f + q = -10 for f. -3 Suppose 0 = -2*i - 2*i + 2*i. Suppose -4*y + i - 1 = 3*o, -16 = 4*y. Solve 1 + o = -3*s for s. -2 Suppose 5*w = -d + 2500, 34*d + 521 = w + 30*d. Solv
{ "pile_set_name": "DM Mathematics" }
1654321? -330864*h - 1 What is the h'th term of 25565, 25564, 25563, 25562, 25561, 25560? -h + 25566 What is the o'th term of 1893, 3788, 5679, 7566, 9449? -2*o**2 + 1901*o - 6 What is the o'th term of 4734, 9494, 14254, 19014, 23774? 4760*o - 26 What is the n'th term of -440, -421, -424, -461, -544, -685, -896? -2*n**3 + n**2 + 30*n - 469 What is the u'th term of 125700, 125699, 125698, 125697? -u + 125701 What is the z'th term of 2643, 5294, 7945, 10596? 2651*z - 8 What is the h'th term of -70, -142, -278, -490, -790? -2*h**3 - 20*h**2 + 2*h - 50 What is the b'th term of 6960, 7182, 7392, 7584, 7752, 7890, 7992? -b**3 + 229*b + 6732 What is the p'th term of 41947, 83944, 125941, 167938, 209935, 251932? 41997*p - 50 What is the m'th term of 442870, 442871, 442872, 442873, 442874, 442875? m + 442869 What is the i'th term of 201, 555, 1133, 1929, 2937, 4151, 5565? -i**3 + 118*i**2 + 7*i + 77 What is the r'th term of -799, -757, -715, -673, -631? 42*r - 841 What is the y'th term of 11921, 12008, 12147, 12332, 12557, 12816, 13103? -y**3 + 32*y**2 - 2*y + 11892 What is the k'th term of 15774, 15695, 15616, 15537, 15458, 15379? -79*k + 15853 What is the c'th term of 58, 78, 130, 214, 330, 478, 658? 16*c**2 - 28*c + 70 What is the w'th term of -118557, -237120, -355683, -474246? -118563*w + 6 What is the w'th term of 4122, 4067, 3966, 3813, 3602, 3327, 2982, 2561? -w**3 - 17*w**2 + 3*w + 4137 What is the k'th term of 16196, 16239, 16282, 16325, 16368? 43*k + 16153 What is the z'th term of 201908, 201907, 201906, 201905, 201904? -z + 201909 What is the m'th term of -818338, -818341, -818344, -818347, -818350, -818353? -3*m - 818335 What is the c'th term of 416, 421, 438, 473, 532, 621? c**3 - 2*c + 417 What is the y'th term of 11867, 23735, 35609, 47489, 59375, 71267? 3*y**2 + 11859*y + 5 What is the m'th term of 4721, 9461, 14223, 19001, 23789, 28581, 33371? -m**3 + 17*m**2 + 4696*m + 9 What is the s'th term of -299111, -299110, -299109, -299108, -299107? s - 299112 What is the d'th term of -250, -291, -318, -331, -330? 7*d**2 - 62*d - 195 What is the i'th term of -67, -35, 45, 191, 421, 753, 1205? 3*i**3 + 6*i**2 - 7*i - 69 What is the f'th term of 86836, 86820, 86804, 86788? -16*f + 86852 What is the w'th term of -294, -365, -436, -507? -71*w - 223 What is the t'th term of 3280, 6580, 9878, 13174? -t**2 + 3303*t - 22 What is the l'th term of -2667, -5278, -7851, -10392, -12907? -l**3 + 25*l**2 - 2679*l - 12 What is the u'th term of -80970, -80987, -81004? -17*u - 80953 What is the v'th term of -5365, -5280, -5141, -4948, -4701? 27*v**2 + 4*v - 5396 What is the u'th term of -141986, -283970, -425954, -567938, -709922, -851906? -141984*u - 2 What is the i'th term of -6025, -24113, -54261, -96469, -150737, -217065, -295453? -6030*i**2 + 2*i + 3 What is the c'th term of 721, 682, 599, 472? -22*c**2 + 27*c + 716 What is the l'th term of -9158, -9181, -9220, -9275, -9346, -9433? -8*l**2 + l - 9151 What is the c'th term of -17352, -17372, -17410, -17472, -17564, -17692, -17862? -c**3 - 3*c**2 - 4*c - 17344 What is the i'th term of -336140, -336141, -336142, -336143, -336144? -i - 336139 What is the m'th term of -1326, -2527, -3728, -4929? -1201*m - 125 What is the s'th term of 144478, 577974, 1300462, 2311936, 3612390? -s**3 + 144502*s**2 - 3*s - 20 What is the z'th term of 1790, 1725, 1660, 1595? -65*z + 1855 What is the n'th term of 2200, 4369, 6504, 8587, 10600? -3*n**3 + n**2 + 2187*n + 15 What is the j'th term of -1778, -2072, -2562, -3248? -98*j**2 - 1680 What is the a'th term of 2423, 2378, 2333, 2288? -45*a + 2468 What is the j'th term of -34, -97, -92, 71, 482? 15*j**3 - 56*j**2 + 7 What is the g'th term of 1510605, 1510603, 1510601, 1510599, 1510597, 1510595? -2*g + 1510607 What is the h'th term of 8, 67, 188, 389, 688, 1103? 3*h**3 + 13*h**2 - h - 7 What is the m'th term of -19, -51, -159, -385, -771, -1359, -2191? -7*m**3 + 4*m**2 + 5*m - 21 What is the a'th term of -207, -1607, -5413, -12831, -25067, -43327, -68817? -201*a**3 + 3*a**2 - 2*a - 7 What is the j'th term of 156, 332, 512, 696, 884, 1076? 2*j**2 + 170*j - 16 What is the w'th term of -8151, -8206, -8261, -8316? -55*w - 8096 What is the k'th term of -23, -463, -905, -1349? -k**2 - 437*k + 415 What is the r'th term of -4084, -4097, -4112, -4135, -4172, -4229, -4312, -4427? -r**3 + 5*r**2 - 21*r - 4067 What is the i'th term of 102121, 204249, 306379, 408511, 510645? i**2 + 102125*i - 5 What is the c'th term of 2073, 2071, 2085, 2127, 2209? 2*c**3 - 4*c**2 - 4*c + 2079 What is the x'th term of 3253, 3256, 3263, 3274? 2*x**2 - 3*x + 3254 What is the f'th term of -70, -926, -2352, -4348, -6914, -10050, -13756? -285*f**2 - f + 216 What is the k'th term of -2495, -5050, -7615, -10196, -12799, -15430, -18095, -20800? -k**3 + k**2 - 2551*k + 56 What is the c'th term of 1536, 6059, 13594, 24135, 37676, 54211, 73734, 96239? -c**3 + 1512*c**2 - 6*c + 31 What is the v'th term of 302, 552, 764, 938? -19*v**2 + 307*v + 14 What is the a'th term of -217592, -435172, -652752? -217580*a - 12 What is the o'th term of -30944, -61889, -92834, -123779, -154724, -185669? -30945*o + 1 What is the y'th term of -173899, -173903, -173895, -173869, -173819, -173739? y**3 - 11*y - 173889 What is the u'th term of -409, -622, -983, -1498, -2173, -3014, -4027? -u**3 - 68*u**2 - 2*u - 338 What is the w'th term of -1540726, -3081456, -4622184, -6162910, -7703634, -9244356, -10785076? w**2 - 1540733*w + 6 What is the n'th term of 157, 151, 155, 175, 217, 287? n**3 - n**2 - 10*n + 167 What is the j'th term of 4049, 3326, 2121, 434, -1735, -4386, -7519? -241*j**2 + 4290 What is the b'th term of -29511, -29555, -29613, -29691, -29795, -29931, -30105? -b**3 - b**2 - 34*b - 29475 What is the v'th term of 942, 3787, 8530, 15171, 23710, 34147? 949*v**2 - 2*v - 5 What is the a'th term of -10, -68, -184, -370, -638, -1000, -1468? -2*a**3 - 17*a**2 + 7*a + 2 What is the a'th term of 242, 232, 212, 182? -5*a**2 + 5*a + 242 What is the k'th term of 3958, 4062, 4164, 4264, 4362, 4458? -k**2 + 107*k + 3852 What is the d'th term of 127, 142, 109, 22, -125? -d**3 - 18*d**2 + 76*d + 70 What is the r'th term of 12915, 12911, 12907, 12903, 12899, 12895? -4*r + 12919 What is the u'th term of -1020, -999, -960, -903? 9*u**2 - 6*u - 1023 What is the g'th term of -42787, -42793, -42801, -42811? -g**2 - 3*g - 42783 What is the m'th term of -12193, -24389, -36585? -12196*m + 3 What is the s'th term of -17, -399, -1035, -1925, -3069, -4467, -6119? -127*s**2 - s + 111 What is the t'th term of -99149, -198243, -297335, -396425? t**2 - 99097*t - 53 What is the m'th term of 3579, 7375, 11147, 14883, 18571, 22199? -2*m**3 + 3810*m - 229 What is the b'th term of 3078203, 3078202, 3078199, 3078194, 3078187? -b**2 + 2*b + 3078202 What is the n'th term of -1652, -1654, -1656? -2*n - 1650 What is the f'th term of 181892, 181896, 181902, 181910? f**2 + f + 181890 What is the t'th term of 299, 233, 121, -37? -23*t**2 + 3*t + 319 What is the y'th term of 54655, 109329, 164013, 218707, 273411, 328125, 382849? 5*y**2 + 54659*y - 9 What is the s'th term of 2114182, 4228366, 6342550, 8456734, 10570918? 2114184*s - 2 What is the h'th term of 1548, 2996, 4446, 5898, 7352, 8808? h**2 + 1445*h + 102 What is the z'th term of -10488181, -10488180, -10488179, -10488178? z - 10488182 What is the k'th term of 16758, 16756, 16754, 16752? -2*k + 16760 What is the c'th term of 98, 1002, 3582, 8714, 17274, 30138, 48182? 146*c**3 - 38*c**2 - 4*c - 6 What is the x'th term of -22237, -22195, -22129, -22027, -21877? 2*x**3 + 28*x - 22267 What is the r'th term of -103815, -103820, -103829, -103842, -103859, -103880, -103905? -2*r**2 + r - 103814 What is the f'th term of 1730, 1665, 1600, 1535, 1470, 1405? -65*f + 1795 What is the o'th term of 1070, 1979, 2888, 3797? 909*o + 161 What is the b'th term of 3575, 7194, 10837, 14510, 18219, 21970, 25769? b**3 + 6*b**2 + 3594*b - 26 What is the t'th term of 19973, 19955, 19933, 19907? -2*t**2 - 12*t + 19987 What is the r'th term of -60799, -121599, -182401, -243205, -304011, -364819, -425629? -r**2 - 60797*r - 1 What is the q'th term of -2634, -5581, -8528, -11475, -14422, -17369? -2947*q + 313 What is the r'th term of 611, 589,
{ "pile_set_name": "DM Mathematics" }
3 Let c(y) be the second derivative of 0 - y**2 + 0*y**3 - 8*y - 1/12*y**4. Differentiate c(b) wrt b. -2*b Let w(h) be the first derivative of -10*h**3/3 - 7*h**2/2 + 1. What is the second derivative of w(q) wrt q? -20 Let x(r) = 49*r - 7. Let d(y) = 6*y - 1. Let a(j) = 51*d(j) - 6*x(j). Let c(v) = -8*v + 6. Let b(g) = -5*a(g) - 7*c(g). Differentiate b(i) wrt i. -4 Let x(l) be the second derivative of -l**6/30 + l**4/2 - 4*l. What is the third derivative of x(r) wrt r? -24*r Let c(u) = 10*u**5 - 2*u**3 + 3*u - 2. Let z(h) = -h**5 + h**3 + h + 1. Let w(m) = c(m) + 2*z(m). Find the second derivative of w(y) wrt y. 160*y**3 Let j(o) = 3*o**3 + 16*o**2 + 6. Let q(l) = 10*l**3 + 48*l**2 + 17. Let u(i) = 17*j(i) - 6*q(i). Find the third derivative of u(r) wrt r. -54 Let v be (-9)/(-2)*6/9. Differentiate -u**2 + u**2 - v*u**2 + 5 + 5*u**2 wrt u. 4*u Let r(c) be the second derivative of -7*c**5/20 + c**3/6 - 6*c. What is the second derivative of r(d) wrt d? -42*d Let n(w) be the third derivative of -5*w**8/168 - w**5/30 - w**2. Find the third derivative of n(m) wrt m. -600*m**2 Let i(q) = q**2 + 11*q + 27. Let u be i(-8). Let y(o) be the first derivative of 0*o**3 + 1/2*o**4 - 3 - u*o + 0*o**2. What is the derivative of y(l) wrt l? 6*l**2 Let a(u) be the second derivative of u**6/180 + u**5/40 + u**3/6 + 3*u. Let p(f) be the second derivative of a(f). Find the second derivative of p(j) wrt j. 4 Find the second derivative of -20*c**3 + 14*c**3 + 13*c**3 - 23*c wrt c. 42*c Find the second derivative of -5*l - 4*l + 6*l**5 - l + 7*l**5 wrt l. 260*l**3 Let n(m) be the second derivative of m**6/2 - 11*m**4/12 - 9*m. Find the third derivative of n(z) wrt z. 360*z Suppose -11*t + 23 + 10 = 0. Let l(k) be the third derivative of 0*k**4 + 1/30*k**5 - 1/3*k**t + 0 + 0*k + 2*k**2. What is the first derivative of l(i) wrt i? 4*i Let d(w) be the first derivative of -w**7/210 + 2*w**3/3 - w**2/2 - 2. Let g(u) be the second derivative of d(u). Differentiate g(x) wrt x. -4*x**3 Suppose -4*k + 32 = 4*f, -f - 8 = -4*k + 3*f. Suppose 20 = p + 4*p. Differentiate 0 + 1 + p*b**2 - k*b**2 with respect to b. -2*b Let a = -10 - -11. Differentiate -3*o**4 - 3 - a + o**4 - o**4 wrt o. -12*o**3 Let z(d) be the second derivative of d**7/7 + d**4/3 + 27*d. What is the third derivative of z(f) wrt f? 360*f**2 Let b(m) be the third derivative of -m**9/756 - m**5/120 + m**3 - 3*m**2. Let w(f) be the first derivative of b(f). What is the second derivative of w(y) wrt y? -80*y**3 Let n(b) = -b**2 - 4*b. Let w(p) = -1 - p + 1. Let l(c) = 2*c - 11. Let h be l(10). Let v(z) = h*w(z) - 2*n(z). Find the second derivative of v(m) wrt m. 4 Find the third derivative of -126*y**5 + 10*y**2 + 4*y**3 + 124*y**5 - 4*y**3 wrt y. -120*y**2 Let x(s) be the second derivative of 0*s**5 + 0*s**3 + 1/12*s**4 + 0 + 4*s - 1/5*s**6 + 0*s**2. What is the third derivative of x(m) wrt m? -144*m Let z(b) be the first derivative of -5*b**6/6 + 11*b**3/3 + 6. What is the third derivative of z(i) wrt i? -300*i**2 Let l(u) = -13*u + 42. Let o(m) = 24*m - 83. Let k(x) = 9*l(x) + 4*o(x). What is the first derivative of k(w) wrt w? -21 Let j(g) be the third derivative of 7*g**5/60 + 4*g**3/3 + 9*g**2. Differentiate j(y) with respect to y. 14*y Let z be (-92)/(-20) - 6/10. Find the second derivative of w**z - 3*w + 3*w**5 - w**4 wrt w. 60*w**3 Find the second derivative of 39*m**3 - 39*m**3 - 7*m + m**4 - m wrt m. 12*m**2 Let p(d) be the third derivative of d**10/2520 + d**6/120 - d**3/2 + 3*d**2. Let i(b) be the first derivative of p(b). Find the third derivative of i(f) wrt f. 240*f**3 What is the third derivative of 0*k + 0*k - 8*k**2 - 28*k**3 + 33*k**3 wrt k? 30 Let v(t) = -t**3 - 5*t**2 + 5*t - 4. Let y be v(-6). What is the third derivative of -x**6 + y*x**2 - 2*x**6 + x**2 wrt x? -360*x**3 Find the third derivative of -8*d**3 - d**2 + 83 - 40 - 43 wrt d. -48 Suppose -7 = -u - 4*s, 0 = -3*u + 3*s - 0*s + 6. What is the first derivative of -5 + 2 - u*a**2 + 1 wrt a? -6*a Let k(o) = o**3 + o**2. Let v be k(1). Suppose -m + 1 = -v. Find the third derivative of 3*x**2 + 0*x**5 + m*x**5 - 5*x**2 wrt x. 180*x**2 Let w = 4 + -9. Let a = 11 + w. What is the third derivative of -2*r**a - 4*r**6 + 0*r**2 - 3*r**2 + 3*r**6 wrt r? -360*r**3 Differentiate 6 + 0*z**4 - 2*z**4 - 4*z**4 with respect to z. -24*z**3 What is the first derivative of -554*x + 554*x + 26*x**2 + 10 wrt x? 52*x Let r(k) be the third derivative of -1/15*k**5 + 0 - 1/168*k**8 + 0*k**7 - 3*k**2 + 0*k**6 + 0*k**4 + 0*k**3 + 0*k. What is the third derivative of r(n) wrt n? -120*n**2 What is the third derivative of -4*a**2 - 17*a**2 + 12*a**2 + 6*a**5 wrt a? 360*a**2 Suppose 0*i + i = 6. Find the third derivative of -5*f**i + f**2 + 2*f**2 + f**2 - 2*f**6 wrt f. -840*f**3 Let d(f) be the third derivative of f**8/14 - f**5/12 + 2*f**2. Find the third derivative of d(q) wrt q. 1440*q**2 Let o(u) be the first derivative of u**6/6 - 4*u**2 - 2. What is the second derivative of o(d) wrt d? 20*d**3 Let b(w) = 49*w**2 + 28*w + 2. Let j(p) = 246*p**2 + 138*p + 11. Let n(a) = -11*b(a) + 2*j(a). Find the second derivative of n(k) wrt k. -94 Let t = 93 - 103. Let l(b) = 3*b - 6. Let g(c) be the third derivative of c**4/24 - c**3/6 - c**2. Let f(q) = t*g(q) + 2*l(q). Differentiate f(d) wrt d. -4 Let h(r) = 9*r**2 + 12*r - 5. Let d(p) = -4*p**2 - 6*p + 3. Let j = -4 + 9. Let o(t) = j*d(t) + 3*h(t). What is the second derivative of o(l) wrt l? 14 Let x be (-14)/(-4)*24/42. What is the first derivative of x + 0*u**2 + u**2 + 1 wrt u? 2*u Let n(m) = -10*m**4 + 6*m**3 + 13*m - 6. Let t(c) = 10*c**4 - 5*c**3 - 14*c + 5. Let a(r) = 5*n(r) + 6*t(r). What is the second derivative of a(g) wrt g? 120*g**2 Let z(x) be the third derivative of -17*x**4/24 - 5*x**3/2 - 3*x**2. Find the first derivative of z(f) wrt f. -17 Let a(g) be the third derivative of 0*g**5 + 5*g**2 + 0*g**3 + 0 + 1/12*g**4 + 0*g + 0*g**6 - 2/105*g**7. What is the second derivative of a(y) wrt y? -48*y**2 Let d = 13 - 11. Let u(p) be the third derivative of 0*p + p**d + 1/2*p**3 + 0 + 1/12*p**4. Differentiate u(k) wrt k. 2 Let d = 1 + 4. Suppose -d*m = 4*t - m - 32, 2*t = 5*m - 12. Differentiate 2 + 4*p**4 - 2*p**4 + 0*p**t wrt p. 8*p**3 Let g(p) be the second derivative of 1/56*p**8 + 0 + 0*p**5 - 1/12*p**4 + 0*p**2 - 2*p + 0*p**7 + 0*p**3 + 0*p**6. Find the third derivative of g(r) wrt r. 120*r**3 Let h(o) be the third derivative of -9*o**7/70 + 2*o**5/15 - 7*o**3/6 - 65*o**2. What is the third derivative of h(j) wrt j? -648*j Suppose -2*o + 4 = -o. Let c(j) = -15*j**2 + 3. Let r(z) = 31*z**2 - 7. Let q(k) = o*r(k) + 9*c(k). Differentiate q(n) wrt n. -22*n What is the second derivative of 3*z**3 - 25*z**3 - 17*z**4 + 22*z**3 - 8*z wrt z? -204*z**2 Find the second derivative of 8 - 42*n**5 - 8 + 7*n wrt n. -840*n**3 Let s(o) be the first derivative of -o + 1/2*o**2 - 2. Let a(k) = -k**3 + 3*k**2 + k - 1. Let z(w) = a(w) - s(w). Find the third derivative of z(j) wrt j. -6 Suppose -4*w + w = -6. Let i(j) = 11*j**2 - 9*j + 5. Let s(h) = -6*h**2 + 4*h - 2. Let z(y) = w*i(y) + 5*s(y). Find the second derivative of z(g) wrt g. -16 Let z(h) = -9*h**2 + 6*h - 14. Let s be (-1 + 0)*(1 - -4). Let n(q) = 8*q**2 - 5*q + 13. Let b(w) = s*z(w) - 6*n(w). Differentiate b(i) with respect to i. -6*i Let x(z) be the first derivative of 14*z**5/5 - 14*z**3/3 + 8. What is the third derivative of x(w) wrt w? 336*w What is the derivative of -52*t**2 + 97 + 88*t**2 + 2*t**3 - 34 wrt t? 6*t**2 + 72*t Let l(x) be the first derivative of -17*x**4/2 + 3*x**2 + 7. What is the second derivative of l(g) wrt g? -204*g Let a(x) = x**2 - 3*x + 2. Let r be a(3). Find the third derivative of -6*j + 8*j**4 + 4*j + r*j**2 + 2*j wrt j. 192*j Let p(m) = -m**2 - m + 4. Let x be p(0). What is the third derivative of 0*w**4 + 4*w**x + 3*w**2 + 2*w**2 + w**4 wrt w? 120*w Let x(n) = -17*n**3 - 4*n**2 + 44*n + 4. Let q(f) = 16*f**3 + 3*f**2 - 45*f - 3. Let g(k) = 4*q(k) + 3*x(k). Find the second derivative of g(z) wrt z. 78*z Let t be 6/(-21) - 64/(-28). What is the third derivative of 0*i**2 - 4*i**6 + 2*i**t + 0*i**2 wrt i? -480*i**3 Let i(b) = -b**3 + 3*b**2 + 6*b - 3. Let s be i(4). What is the derivative of -28*u + 64*u - 35*u - s wrt u? 1 Let n(
{ "pile_set_name": "DM Mathematics" }
(8/2)/4. Suppose -338 = 3*q - v. Sort -1, 2, 3, q. q, -1, 2, 3 Let i = 3248 + -3245. Sort -3/2, i, -3, -799. -799, -3, -3/2, i Let s = 848/1895 + -18/379. Sort -0.39, s, -4, 0.5 in decreasing order. 0.5, s, -0.39, -4 Let i(c) = 31*c + 2765. Let g be i(-88). Sort -1, 2, g, 6 in decreasing order. g, 6, 2, -1 Suppose 5*b - u + 5 = 0, 15 = b + u + 22. Sort b, -4, 4, -21, 0 in increasing order. -21, -4, b, 0, 4 Suppose 9*y - 3*a = 5*y - 20, 0 = -2*y - 4*a + 12. Let k = 12 + -4. Sort k, -2/3, 5/6, y in ascending order. y, -2/3, 5/6, k Let g = -2787 - -2797. Put 1, g, 2, 0, -5 in descending order. g, 2, 1, 0, -5 Let v be 26 + 10/(-4)*(5 + 0 + -3). Sort v, -3, 17 in decreasing order. v, 17, -3 Let n be 3/(-4 - -1)*(5 - 5). Suppose n = 18*i - 35*i - 34. Let z = 3 + 2. Put i, 2, z in ascending order. i, 2, z Suppose 8*o - 72 = -4*o. Suppose -o*l + 80 = 2*l. Sort 4, l, -4, 7 in decreasing order. l, 7, 4, -4 Let b = 6 - 6.4. Let d = 74.354 - -0.646. Let k = d - 81. Sort b, -2/7, 0.1, k in increasing order. k, b, -2/7, 0.1 Let p(z) = z**3 + z**2 - 2*z - 2. Let m be p(-1). Let h(k) = -8*k + 164. Let a be h(20). Put m, -5, a, 72 in descending order. 72, a, m, -5 Suppose 74 = 3*f + 68. Let x(y) = -48 + 52 - y**3 - 6*y**f + 2*y + 3*y**2. Let w be x(-3). Put w, 7, -5/4 in increasing order. w, -5/4, 7 Suppose 13*i - 20*i = 13*i + 15060. Sort -2, i, 0. i, -2, 0 Let s(r) = -2*r**2 + 16*r + 4. Let y be s(9). Let p be y/4*(-12)/21. Suppose 2*z + 4 = 3*i + 6*z, -4*i + 2 = p*z. Sort i, -4, -2 in decreasing order. i, -2, -4 Let k = 32 + -36. Let d = -0.0195 + 7.0195. Sort k, 2, 1, d. k, 1, 2, d Let a = 1225 - 1228. Sort a, 0, 8 in increasing order. a, 0, 8 Let z = 17.697 - 15.697. Sort 2/15, -2.12, z, -3/5, -1/6 in decreasing order. z, 2/15, -1/6, -3/5, -2.12 Let h = -2576 + 2575.6. Put h, 0, 2, -5/3 in descending order. 2, 0, h, -5/3 Let d = 45 - 34. Let i be (-224)/35 + (9 - 2). Put -0.3, d, i in increasing order. -0.3, i, d Let q = 2 + 3. Let l(c) = -2*c**2 - 39*c + 24. Let a be l(-20). Let j = 118 - 122. Put j, 0.3, q, a in ascending order. j, 0.3, a, q Let u = 6.55 + -6.91. Let x = u - 0.14. Let c = -17 + 17.09. Put x, c, -4 in decreasing order. c, x, -4 Let j(k) = k**3 - 8*k**2 + 11*k + 22. Let l be j(6). Sort 2, 10, l. 2, 10, l Suppose 36 = 2*y + 27*p - 31*p, -3*p = 12*y + 54. Suppose 0 = g - 4*r + 2, -5 = -5*g + 2*g + r. Sort g, y, -61. -61, y, g Suppose -3*n + 24 = 3*w, -7*w = -11*w + 2*n + 2. Put w, -1, -303 in increasing order. -303, -1, w Let c = -67 - -17. Let p = 56 + c. Let z = -3 + 2.8. Sort p, 3, z. z, 3, p Let r be 93/13 - 7 - (-287)/(-91). Let x = -82 + 67. Sort x, 2/13, r. x, r, 2/13 Let g be ((-13)/(-3))/(2/6). Let k = -6995 - -6997. Suppose g*d = k*d - 44. Put 1, -3, 3, d in increasing order. d, -3, 1, 3 Let v be ((-75)/((-27)/(-9)))/1. Sort 5, v, -3 in descending order. 5, -3, v Let m = 56 - 45. Suppose -m = -4*q + 41. Let p be q + -9 + (-22)/6. Sort p, -3, 0.2 in decreasing order. p, 0.2, -3 Suppose -5*z = -8 - 7. Let x be (z/(-6))/(42/24*1). Let w = 5 + -7. Sort 0.6, w, x in decreasing order. 0.6, x, w Let v(m) = -65*m + 4484. Let l be v(69). Sort l, 1, -5, -6, 13 in descending order. 13, 1, l, -5, -6 Let p be 3/2 + 2/(-4). Suppose -5*a = -4*v + 12, -8 = -3*a - 2*v - 2. Let b be (-166)/2324*(-20 - 1)*2. Sort p, a, b. a, p, b Let n = -4.461 - -0.691. Let a = -3.97 - n. Put a, -11, 0.6 in descending order. 0.6, a, -11 Suppose 5*u - 4 = 3*f - 6*f, 4*f = 4*u - 16. Suppose 5*j + 45 = 5*r, -108 + 99 = 3*r + j. Put -1, u, -11, r in decreasing order. u, r, -1, -11 Let g be 486/378*(-2)/(-18). Sort -7, -0.01, g, 1/6, -0.04 in descending order. 1/6, g, -0.01, -0.04, -7 Let v(m) = -m**2 - 14*m - 28. Let l be v(-11). Sort -1.5, l, -1.3 in descending order. l, -1.3, -1.5 Let y = -1149 + 1150. Put -1, -2/17, 51, y, 5 in descending order. 51, 5, y, -2/17, -1 Suppose 5*h = -2*j + 16, -25*h + 29*h - 18 = j. Put 28, 2, h, 0 in descending order. 28, h, 2, 0 Let k = 41 - 41.17. Let d = k - -0.17. Let l be 1581/306 + -5*1. Sort -0.1, 4/3, d, l. -0.1, d, l, 4/3 Let u = -432 + 432.562. Let z = u + -0.315. Sort 2/13, z, 0.3 in increasing order. 2/13, z, 0.3 Let m = -16832 + 16828. Let l(h) = -h**3 + 5*h**2 - 4*h + 5. Let x be l(4). Sort x, m, -66. -66, m, x Let i be (6 + (-5 - 3))*-2. Let n(r) = -r**2 + 4*r - 5. Let o be n(7). Sort o, -5, i. o, -5, i Let v = 3.6 + -0.4. Let w = -3 + v. Let l = 6.69662 + -0.69662. Put w, l, -5 in decreasing order. l, w, -5 Let t = 11 - 23. Let z be (-2)/3*306/t. Let r = z - 22. Sort 12, 0, r in ascending order. r, 0, 12 Let t(u) = 303*u**2. Let j be t(-1). Let k = 298 - j. Sort 0, 10, k in increasing order. k, 0, 10 Let j = 362 - 357. Suppose -m + 2*x = 4, 6 = -3*m - x + j*x. Suppose 2*y = 7*y - 5. Sort 7, y, m in ascending order. y, m, 7 Let m(l) = -1063*l - 12854. Let f be m(-12). Sort 5, f, 1 in descending order. 5, 1, f Let l = -7/18 + 23/90. Suppose 1785 = 110*i - 89*i. Let d = -257/3 + i. Sort d, 16, l in descending order. 16, l, d Let j = 571 - 575. Put j, 5, 9, -35 in decreasing order. 9, 5, j, -35 Suppose 0 = 4*c - 7 - 13, -910 = 2*q + 2*c. Let z = q - -465. Put z, -1, -0.9 in decreasing order. z, -0.9, -1 Let j = -98 - -93. Let a be (-1)/10 - 42/30. Let l = 0.98 - 1. Put j, -0.4, l, a in ascending order. j, a, -0.4, l Let n = 62012 - 62012.4. Suppose 0*x = -5*i - 3*x - 6, -5*i = 5*x. Sort -0.08, n, i in increasing order. i, n, -0.08 Suppose -1680 = 1338*d - 1362*d. Put d, -0.5, 3, -2 in increasing order. -2, -0.5, 3, d Let q = -19754.6 - -19755.6. Let s be 9/10 - 2/5. Sort -0.2, q, 1/3, s. -0.2, 1/3, s, q Let k(m) = m**3 - 12*m**2 + 19*m + 12. Let t = 76 - 76. Suppose t = -22*p + 16*p + 60. Let c be k(p). Sort 0, 4, c in descending order. 4, c, 0 Suppose 168 - 41 = -46*f - 149. Sort -4, -3, -5, f, 28 in ascending order. f, -5, -4, -3, 28 Let w = 23651 - 307457/13. Let d = -18 + 88/5. Sort d, w, -3/2 in decreasing order. w, d, -3/2 Let m = -0.057 - 0.443. Let z = -4.89 + 7.02. Let g = z + -0.13. Put g, 10/3, m, -0.3 in decreasing order. 10/3, g, -0.3, m Let w = -5.4 + 0.4. Let b = -95 - -97. Let q be b*1/2*100/175. Put q, -1/2, w in decreasing order. q, -1/2, w Suppose 4*o - 4*w - 16 = -7*w, -o = 4*w - 17. Sort 23, o, -1, -2, 3 in decreasing order. 23, 3, o, -1, -2 Suppose -7*q = -q, 2*p - 7*p + 80 = -2*q. Sort 7, p, -3 in increasing order. -3, 7, p Let z(b) = 7*b**3 + 6*b**2 - 60*b + 6. Let h be z(-6). Sort 2, h, -4. h, -4, 2 Let i = 28 - 16. Suppose -4*h - 3 = 3*m, 13*m + i = -h + 10*m. Let j(d) = d**2 - 6*d - 4. Let l be j(6). Sort h, l, 6 in increasing order. l, h, 6 Let i be -8 - (-7 - 5) - 5*1. Let s be (0 - i)*1 - (-68)/(-34). Put 4, 2, -14, s in increasing order. -14, s, 2, 4 Let t be -1*90/25 + -5 + 299/65. Put 66, -5, -1, t in increasing order. -5, t, -1, 66 Suppose -7*c + 4*c = -2*d + 3, 3*d + 28 = -2*c. Put -75, 5, -2, c, 1 in decreasing order. 5, 1, -2, c, -75 Let d = -36 + 25. Let m = 15031.5 + -15031. Sort m, d, 2. d, m, 2 Let h(y) = y**3 - 4*y**2 + 5*y - 4. Let v be h(3). Suppose 4*q - 5157*c + 5153*c + 8 = 0, -2*c = 2*q + 4. Put v, q, 0, -5 in descending order. v, 0, q, -5 Let f = -7 + 15. Suppose 4*n - 2*n = f, 8 = 4*h - 3*n. Let t = 22 + -25. Sort h, -5, 1, t in increasing order. -5, t, 1, h Suppose 4*g + 21 = -5*v - 28, g + 4*v + 26 = 0. Let s = 57 - 59. Sort s, -5, -1, g. g, -5, s, -1 Let w = 0.75 - 1. Let m = 2313.75 - 2311. Let h = m - w. Sort h, 0, -1/7 in descending order. h, 0, -1/7 Let f = -3 + 5. Let s = -4.83 + 6.4. Let h = 1.67 - s. Put h, 5, f in ascending order. h, f, 5 Let l(a) = 2*a**2 + 277*a + 1961. Let n be l(-7). Sort -2, n, 5. -2, 5, n Let q(y) = -11*y**2 + 265*y - 30. Let o be q(24). Put o, -40, -1 in descending order. -1, o, -40 Let f(g) = 953*g + 9530. Let p be f(-10). Sort -1, 289, 6, p, -4 in decreasing order. 289, 6, p, -1, -4 Let i = 0.404 + -63.404. Let z = 63.03 + i. Put -1/6, 2/5, 1/3, z in increasing order. -1/6, z, 1/3, 2/5 Let p = 205 + -206.5. Sort 135, p, -4. -4, p, 135 Let o = -4106 + 4107. Let x(l) = l**2 - 13*l + 16. Let p be x(12). Put -5, p, o, 3 in increasing order. -5, o, 3, p Let p be 40/(-140) - ((-95)/(-35) + -4) - 3480. Put -1, -2, p in decreasing order. -1, -2, p Let t(l) = 5*l - 1609. Let y be t(59). Put 0, -0.2, y, -3 in decreasing order. 0, -0.2, -3, y L
{ "pile_set_name": "DM Mathematics" }
ive t. 12 Rearrange (-14*p - 334 + 334 + (-2 - 2 + 5)*(-1 + 1 - 2*p))*(p**2 - 2*p**2 - 2*p**2)*(7 - 2 - 3) to the form g*p**2 + b + t*p + i*p**3 and give i. 96 Rearrange 11*d**2 + 55 - 20 - 3*d - 18 - 18 to g*d + u*d**2 + c and give g. -3 Rearrange -61*u - 51*u - 56*u + 6*u to the form w*u + s and give w. -162 Express (191 - 15 + 39)*(1 + 2*b - 1) as p + o*b and give o. 430 Rearrange -6*w**3 - 4*w**2 + 2*w**3 - 176 + 177 + 4*w to u + h*w**2 + z*w + d*w**3 and give u. 1 Express -56*s - 10*s + 8*s**2 - 16*s**2 + 9*s**2 + s**3 - 91*s in the form a*s**2 + y*s**3 + w*s + d and give w. -157 Express (5*l**2 - 4*l**2 - 2*l**2)*(7571 - 7571 + 128*l) + 5 - 5 + l**3 - l**3 + 0*l + 0*l as a + g*l**2 + s*l + n*l**3 and give n. -128 Express (4 + 2*d - 4)*(2*d**2 + d - d) - 2*d**3 - d**3 + 2*d**3 + 603*d**3 + 577*d**3 - 978*d**3 in the form k*d + t + z*d**2 + q*d**3 and give k. 0 Express (13 + 10 + 1)*(-57 + 57 - 25*y**2) as x*y**2 + d + w*y and give x. -600 Express 29*f**2 + 0 + 6*f - 1 - 6*f + 2 as u*f + d + p*f**2 and give p. 29 Express 14 - 3*k + 7*k - 3*k + 104 as v + r*k and give r. 1 Rearrange (5 + 3*r - 5)*(-19*r - 34 + 34) + 1126 - 1126 - r**2 - 2*r to b + q*r**2 + l*r and give l. -2 Express -20*w + 2*w**2 + 272 - 17*w - 9*w + 46*w as f*w + l + d*w**2 and give d. 2 Rearrange -1417*g**2 - 333*g + 116*g + 110*g + 109*g to the form l*g + m + v*g**2 and give l. 2 Express (57 - 86 - 118)*(-4 + 3 + 0)*(-r + 2*r**3 - r**2 + 0 + 0) - r**3 + 0*r**3 - r**3 in the form c*r + g + f*r**3 + d*r**2 and give d. -147 Express f - 16*f**3 + 8*f**3 + 2*f**3 - 2*f**2 as s + l*f**2 + x*f + c*f**3 and give c. -6 Express -s + 3*s + 3*s - s - 7*s + 165 in the form p + r*s and give p. 165 Rearrange 2*m - 27 - 1 - 23 + (0*m - m + 0*m)*(-7 + 2 + 3) + 0*m - 3*m + 2*m to n*m + l and give l. -51 Rearrange (-124 - 56 + 42)*(2*z - z - 3*z) to m*z + j and give m. 276 Express (3*s - 4*s + 2*s)*((-1 + 1 - 6*s**2)*(4 - 3 + 0) + 4*s**2 - 40 + 40) as i + u*s**3 + m*s**2 + r*s and give u. -2 Rearrange -15*l**3 + 14*l**3 + 7*l**3 - 2*l**2 - 24*l + 7*l to c*l + p*l**3 + y + j*l**2 and give p. 6 Express 5831*c**2 + 2 + 3*c - 23*c**3 - 5831*c**2 as o*c**2 + s*c**3 + m*c + w and give s. -23 Rearrange -13*a**2 - 4 - 9 + 10*a**4 - 11*a**4 - 9 + 12*a**2 to x*a**3 + y*a**4 + d*a**2 + w*a + j and give j. -22 Rearrange 2*m**2 + 14*m + 29*m - 10*m - 2 - m**3 + m to the form a*m**3 + r*m + d*m**2 + s and give r. 34 Rearrange (-c**3 - 2*c**3 + c**3)*(-4 + 4 + 2 + (0 - 1 - 1)*(-4 + 1 + 1) + (13 - 1 + 3)*(16 + 19 - 42)) to the form l*c**3 + m + j*c + y*c**2 and give l. 198 Express (-1140 + 93 + 51)*(-3*c + 0*c + c - 2) in the form y + d*c and give d. 1992 Express (-3*b + 21 - 21)*(0*b**2 + 4*b**2 - 5*b**2) + (b**2 + b**2 - b**2)*(-7*b + 0*b + 2*b) as s*b**3 + c*b + k*b**2 + u and give u. 0 Rearrange -16*c**3 + 1 + 19*c**3 - 42*c**2 - 3 + 2 to z*c**3 + g*c + q + x*c**2 and give x. -42 Rearrange -57*q**2 - 42*q**2 + 140*q**2 - 41*q**2 + 2*q - 1116*q**3 to i + c*q + b*q**3 + r*q**2 and give b. -1116 Rearrange -72*d**2 - 2*d + 1 + 226*d**2 - 80*d**2 + 34*d**4 + 3*d**3 - 74*d**2 to the form b*d**2 + q*d + r*d**3 + x*d**4 + h and give q. -2 Rearrange -17*u - 192 - 190 - 193 + 564 to the form s + x*u and give s. -11 Rearrange (4 - 2 - 5)*(-7 - 2*k + 7)*(-5 + 23 + 11) to x + u*k and give u. 174 Rearrange 56 + 8*r**2 - 122 - 5*r**2 to o*r**2 + q + n*r and give o. 3 Express 319 - 319 - 17*l**2 + (0 + 1 + 2)*(0*l + 0*l + 2*l**2) in the form i*l + b*l**2 + f and give b. -11 Rearrange -7*x**2 - 6*x + 5*x**2 - 8*x**2 + 4*x to m*x + s*x**2 + o and give s. -10 Express 9*h**3 - 14*h**2 - h**3 + 13*h - 4*h**3 + h**3 - 4*h**3 in the form y*h**2 + v*h**3 + n*h + r and give v. 1 Rearrange -150*u + 50*u - 164*u to the form w*u + c and give w. -264 Express (3 + 1 - 3)*(0 + 0 + 1)*(-25*i + 4*i + 203*i) as s + n*i and give n. 182 Express 15*u**2 - 2*u**3 + 18*u**2 - 34*u**2 - 14*u in the form j*u**3 + k*u**2 + l*u + r and give l. -14 Rearrange (3 - 3 - 5)*(m - 26 + 27 + 2*m) to the form k*m + w and give k. -15 Rearrange 44*t - 433 + 433 to x*t + y and give x. 44 Express -4*m + 4 + 0*m**3 - 14 - 9*m**3 + 19 in the form c*m**2 + a + u*m + b*m**3 and give a. 9 Rearrange (0*x - 2*x - 4*x)*(-9 - 76*x**3 + 9) to b*x**4 + w*x**2 + p + m*x**3 + k*x and give m. 0 Express 58 + 8*q - 58 in the form w*q + f and give w. 8 Express 615*d**2 + 209*d**2 + 90*d**2 as l + w*d**2 + j*d and give w. 914 Rearrange (-7264*r + 7264*r - 221*r**4 - 2)*(2 - 6 + 3) to p*r**2 + z*r**4 + b*r + c + y*r**3 and give z. 221 Rearrange -4 - 4*g**3 + 4 + (-17*g**2 - 8*g**2 - g**2)*(2*g - 3 + 3) to u + s*g + i*g**3 + p*g**2 and give i. -56 Express (3 + 2*u - 1 - u)*(-1262 + 588 + 573) as a*u + q and give q. -202 Express -23 + 12*b**3 + 8*b**4 + 24 + 0*b - 10*b**4 - 2*b as c + t*b + n*b**4 + g*b**2 + x*b**3 and give g. 0 Express 0 - 573*n**2 - 476*n**2 + 1199*n**2 + 0 - 4*n as m*n**2 + a*n + g and give a. -4 Rearrange -17 + 26 - 51*k - 12 to the form r*k + f and give r. -51 Rearrange (5*q - 2*q - 4*q + (4 - 1 - 1)*(0*q + 0*q - 5*q))*(-4 - 38 + 7) to p*q + r and give p. 385 Rearrange (-2 + 4 + 0 + 3*h + (2 - 5 + 2)*(4*h + 0 + 0))*(1 + 47 + 11) to the form t*h + a and give a. 118 Rearrange -141*g**3 - 154*g**3 - 195*g**3 - 2*g + 426*g**3 to the form l + u*g + p*g**3 + t*g**2 and give u. -2 Express -407*r + 503*r - 273*r in the form c*r + v and give c. -177 Express -33*w**2 + 167 - 80 - 86 + 5*w**4 as i*w**4 + s*w + q*w**3 + f*w**2 + r and give r. 1 Rearrange (264 - 264 + 56*k)*(5*k - k - 3*k) to f + j*k + x*k**2 and give x. 56 Express -16*g + 15*g**3 + 56 - 57 + 18*g as s + z*g + v*g**3 + j*g**2 and give z. 2 Express -221*j**2 - 414*j**2 - 196*j**2 in the form x + y*j + r*j**2 and give r. -831 Rearrange 240*k**2 - 2*k**3 - 119*k**2 + 4 - 123*k**2 + 12 to the form x*k + f*k**3 + j*k**2 + g and give j. -2 Rearrange 15*j**2 - 83*j + 32*j**2 + 83*j + 51*j**2 to h*j + s + v*j**2 and give v. 98 Rearrange 14 - 7 - 5 - 46*h to l + p*h and give p. -46 Express (5*m - 2*m + 0*m)*(-40*m - 97*m - 152*m) as v*m**2 + x*m + i and give x. 0 Rearrange (-25 + 44 + 311)*(3*f - 2*f**2 + f**2 - f**2) to the form o*f**2 + y + l*f and give y. 0 Express 917*f + 197*f + 1002*f - 54*f in the form p*f + c and give p. 2062 Express 2*b - 4*b + 45*b**3 - 783 + 781 as o*b**3 + w + g*b + v*b**2 and give o. 45 Express (0*n**2 + 0*n**2 - n**3)*(-675*n + 25962 - 25962) + 19*n**2 - 19*n**2 - 6*n**4 as h*n**4 + i*n**3 + c*n**2 + q*n + u and give h. 669 Rearrange i**2 + 900*i**3 - 449*i**3 + 38*i - 449*i**3 + 122*i to d*i + h*i**2 + l + j*i**3 and give d. 160 Express q + 17*q**2 + q**3 - 17*q**2 - 4*q**3 + q**3 + 0*q**3 + (-q + 2*q + 4*q)*(0 - 2*q**2 + 0) in the form k*q**3 + a + p*q + x*q**2 and give p. 1 Rearrange 2*o + 53*o**2 - 175*o**2 - 2*o**3 + 66*o**2 + 60*o**2 to the form x*o + m*o**3 + d + p*o**2 and give x. 2 Rearrange (-4 - 21 - 17 + (2 + 1 - 4)*(0 + 2 + 0) + (-5 + 2 + 1)*(1 + 0 + 1) + 3 + 0 - 5)*(-3*b + 2 - 2) to n + x*b and give x. 150 Rearrange -13 - 3 + 3*q + 42 - 15 to the form b + u*q and give b. 11 Rearrange -87*n - 165*n - 1 + 62*n + (3*n + 3*n - 4*n)*(-6 + 2 + 3) to v*n + w and give v. -192 Rearrange (-3*h - 8 + 8)*(0*h**3 - 34*h**3 + 68 - 66) to the form y*h**4 + n*h + c*h**3 + g + q*h**2 and give n. -6 Rearrange 57*f**2 - 341*f - 22*f**2 - 36*f**2 to b + k*f + t*f**2 and give b. 0 Rearrange 9*l**4 + 2 + 358470*l**2 + 2*l**4 - 358466*l**2 - 5*l to v*l**4 + m*l + b*l**2 + j + y*l**3 and give m. -5 Express 4*r + 7*r**2 - 5*r - r + 59 - 71 as v + o*r + t*r**2 and give t. 7 Express -56*k**3 - 2*k**2 - 2 - 97*k + 65*k**3 - 12*k**3 + (0*k - 2*k + 4*k)*(0*k**2 + 0*k**2 + 4*k**2) in the form l*k + v*k**2 + m + s*k**3 and give v. -2 Express -77*v - 3844 + 3844 in the form w*v + j and give w. -77 Express -4*z - 2 - 2 - 3*z + 2*z - 4*z in the form i*z + l and give l. -4 Express -2*x + 2*x + x**2 + (-4*x + 7*x + x)*(-5*x + 5 - 5*x + 13*x) as m*x**2 + v + w*x and give w. 20 Rearrange -4 - 8 - l**3 + 20*l + 5 - 33*l + 19*l to w + u*l**3 + c*l**2 + z*l and give z. 6 Express 66*z - 3 + 96*z - 14*z + 3 in the form v + n*z and give n. 148 Rearrange n + 4*n - 20*n - 3 to i*n + g and give i. -15 Express 13 + 0 - 358*r - 3 - 10 in the form i*r + m and give i. -358 Express (3 - 3 - 3)*(0*k + k - 2*k)*(-
{ "pile_set_name": "DM Mathematics" }
6/4845 What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvv? 1 Three letters picked without replacement from gggggggguggg. Give prob of picking 1 u and 2 g. 1/4 What is prob of picking 1 h and 1 g when two letters picked without replacement from {h: 6, g: 7}? 7/13 Two letters picked without replacement from snizell. Give prob of picking 2 l. 1/21 Three letters picked without replacement from {k: 2, c: 4, m: 2, n: 4, r: 3, d: 3}. What is prob of picking 1 c and 2 m? 1/204 Three letters picked without replacement from vvvhvvhvvhvv. Give prob of picking 1 v and 2 h. 27/220 Two letters picked without replacement from qffswqxsqf. What is prob of picking 2 w? 0 Calculate prob of picking 1 u and 2 g when three letters picked without replacement from ggugguggggg. 24/55 Three letters picked without replacement from {a: 1, m: 1, b: 2}. What is prob of picking 1 m, 1 b, and 1 a? 1/2 Three letters picked without replacement from yppityijiiiitiitj. Give prob of picking 1 t and 2 i. 21/170 What is prob of picking 3 y and 1 q when four letters picked without replacement from {y: 8, q: 1, i: 1, c: 8}? 14/765 Two letters picked without replacement from {l: 5, u: 7, x: 3, c: 2, f: 3}. What is prob of picking 1 f and 1 c? 3/95 Calculate prob of picking 1 w, 1 x, and 2 k when four letters picked without replacement from {k: 5, w: 1, b: 2, f: 1, t: 4, x: 2}. 4/273 Four letters picked without replacement from cggjgcjjcjgj. What is prob of picking 3 g and 1 c? 4/165 Two letters picked without replacement from {u: 6, a: 6}. Give prob of picking 1 u and 1 a. 6/11 Three letters picked without replacement from {x: 5, s: 7}. What is prob of picking 3 x? 1/22 Calculate prob of picking 3 b and 1 g when four letters picked without replacement from gbbbbg. 8/15 What is prob of picking 1 e, 2 h, and 1 o when four letters picked without replacement from geggehhughhohrogg? 2/119 Four letters picked without replacement from {v: 7, n: 1, e: 5}. What is prob of picking 2 v and 2 e? 42/143 Three letters picked without replacement from {l: 9, h: 4, a: 3}. What is prob of picking 2 l and 1 a? 27/140 Two letters picked without replacement from sjxjj. What is prob of picking 1 s and 1 x? 1/10 Calculate prob of picking 1 y and 3 b when four letters picked without replacement from vvyyybybbvvv. 4/495 What is prob of picking 2 z when two letters picked without replacement from {h: 3, z: 3}? 1/5 Calculate prob of picking 4 b when four letters picked without replacement from {n: 1, b: 5, r: 6, c: 6, s: 1}. 5/3876 Calculate prob of picking 2 f and 2 i when four letters picked without replacement from kcifiiiffkiiifi. 8/65 Three letters picked without replacement from ktxxxkktkkkxkx. Give prob of picking 3 k. 5/52 What is prob of picking 1 d and 1 o when two letters picked without replacement from dodd? 1/2 Three letters picked without replacement from zzzzcccccxkxcgxkz. Give prob of picking 1 x, 1 z, and 1 c. 9/68 What is prob of picking 1 v and 1 n when two letters picked without replacement from {r: 6, v: 2, n: 10}? 20/153 Calculate prob of picking 3 v and 1 z when four letters picked without replacement from vvvvvvvvvvvzzz. 45/91 What is prob of picking 1 m and 2 f when three letters picked without replacement from {m: 1, f: 2, y: 1, i: 1}? 1/10 What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, l: 5, g: 9}? 3/20 What is prob of picking 3 q when three letters picked without replacement from {q: 6, e: 2, w: 5}? 10/143 Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {m: 5, v: 4, u: 2}. 2/11 Two letters picked without replacement from bxgwk. Give prob of picking 1 w and 1 x. 1/10 Calculate prob of picking 1 a and 1 y when two letters picked without replacement from jeeannyaeyeu. 2/33 Two letters picked without replacement from qqqntqqqtnqnqqqqqq. What is prob of picking 1 n and 1 t? 2/51 Calculate prob of picking 2 b and 1 o when three letters picked without replacement from {b: 6, o: 3, x: 4}. 45/286 Four letters picked without replacement from inclililncillcc. What is prob of picking 2 l and 2 i? 4/91 Two letters picked without replacement from {e: 1, h: 3, j: 2, d: 3, c: 2, a: 3}. Give prob of picking 2 h. 3/91 Two letters picked without replacement from {s: 2, v: 1, w: 1, k: 1, m: 2}. Give prob of picking 1 k and 1 w. 1/21 Two letters picked without replacement from {m: 2, d: 1, l: 1, k: 2, y: 4}. Give prob of picking 1 l and 1 m. 2/45 Four letters picked without replacement from {n: 7, x: 4, r: 3}. What is prob of picking 4 x? 1/1001 Two letters picked without replacement from zddzddrddrdrddddzd. Give prob of picking 1 z and 1 d. 4/17 What is prob of picking 1 p and 1 x when two letters picked without replacement from prppxrxrprp? 2/11 Three letters picked without replacement from {k: 8, j: 3}. Give prob of picking 1 j and 2 k. 28/55 Calculate prob of picking 2 l when two letters picked without replacement from lllllll. 1 Two letters picked without replacement from {q: 4, o: 6, t: 1, z: 3, x: 3, p: 2}. Give prob of picking 1 p and 1 z. 2/57 Two letters picked without replacement from dxxddxxixxdxdixdx. What is prob of picking 2 d? 15/136 Three letters picked without replacement from ywbruiybr. What is prob of picking 1 r, 1 y, and 1 b? 2/21 Three letters picked without replacement from zuzuu. Give prob of picking 1 z and 2 u. 3/5 Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {o: 11, u: 5, f: 1}. 5/136 What is prob of picking 2 c when two letters picked without replacement from {x: 1, c: 3, m: 11}? 1/35 What is prob of picking 1 h and 3 q when four letters picked without replacement from hqqhqqxhhhqhqqqqhhh? 63/323 Four letters picked without replacement from {s: 2, a: 1, h: 2, g: 1, j: 1}. Give prob of picking 1 j, 1 g, and 2 s. 1/35 Three letters picked without replacement from ngtgtxtnglggttg. Give prob of picking 2 t and 1 g. 12/91 Calculate prob of picking 1 l and 1 o when two letters picked without replacement from loqoppooplpoloc. 6/35 Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {b: 6, u: 3, e: 1, p: 5, x: 5}. 1/76 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {h: 4, v: 3, q: 2}. 2/9 Two letters picked without replacement from {x: 3, y: 2, l: 4, b: 1, v: 1, u: 4}. What is prob of picking 1 y and 1 x? 2/35 What is prob of picking 1 d, 1 n, 1 s, and 1 o when four letters picked without replacement from {s: 3, n: 2, q: 6, w: 1, o: 5, d: 2}? 5/323 Two letters picked without replacement from sdwnd. What is prob of picking 1 n and 1 s? 1/10 What is prob of picking 1 j and 1 t when two letters picked without replacement from {h: 8, q: 2, j: 1, t: 4}? 4/105 Three letters picked without replacement from {l: 4, x: 9, i: 4}. Give prob of picking 1 l and 2 x. 18/85 What is prob of picking 1 b and 1 x when two letters picked without replacement from {g: 1, b: 4, u: 4, x: 5, t: 4, m: 1}? 20/171 Three letters picked without replacement from {k: 1, z: 1, p: 3}. Give prob of picking 1 p, 1 k, and 1 z. 3/10 Two letters picked without replacement from {w: 1, b: 16, v: 3}. Give prob of picking 1 b and 1 w. 8/95 Two letters picked without replacement from {p: 3, e: 7, k: 2}. What is prob of picking 1 e and 1 p? 7/22 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 5, e: 2, s: 3, i: 5, y: 5}. 5/38 Calculate prob of picking 3 k when three letters picked without replacement from {k: 7}. 1 Two letters picked without replacement from kxxnnkkk. Give prob of picking 1 x and 1 k. 2/7 Four letters picked without replacement from {m: 2, g: 1, n: 2, i: 1, b: 5, o: 5}. Give prob of picking 2 m and 2 o. 1/182 Three letters picked without replacement from hndhxwzn. What is prob of picking 1 n, 1 w, and 1 h? 1/14 Two letters picked without replacement from gggssgosos. What is prob of picking 1 s and 1 g? 16/45 What is prob of picking 2 s and 1 e when three letters picked without replacement from sssessesss? 7/15 Two letters picked without replacement from {f: 8, a: 3, u: 5, p: 1, h: 3}. What is prob of picking 1 a and 1 u? 3/38 Fo
{ "pile_set_name": "DM Mathematics" }
ppose -o*t + 4 + 16 = 0. Factor 0 + 2/7*g**3 + 2/7*g**t + 0*g. 2*g**2*(g + 1)/7 Let r(m) be the second derivative of m**4/8 + 133*m**3/4 + 393*m**2/2 - 5*m - 241. Find f, given that r(f) = 0. -131, -2 Let 0*s + 273/2*s**2 + 1/2*s**4 + 0 - 137*s**3 = 0. Calculate s. 0, 1, 273 Let u(d) be the first derivative of 9*d**4/28 + 1894*d**3/7 - 3791*d**2/14 + 632*d/7 - 8834. Factor u(v). (v + 632)*(3*v - 1)**2/7 Let d = 28 + -28. Suppose -2*p + 5 + 1 = d. Factor -6*t**2 - 7*t**p + 9 - 24*t - 2*t**3 + t**4 + t**3 + 28*t**2. (t - 3)**2*(t - 1)**2 Solve 26 + 1381/4*g**2 + 75/4*g**4 - 399/2*g - 773/4*g**3 + 11/4*g**5 = 0. -13, 2/11, 1, 4 Let k(m) = m**3 - m**2 - m. Let y(p) = 8*p**3 - 15*p**2 - 9*p. Let o be (-4)/((-8)/(-3))*-6. Suppose 4*u = o*u + 90. Let g(z) = u*k(z) + 2*y(z). Factor g(f). -2*f**2*(f + 6) Let d(v) = 57*v - 375. Let m be d(7). Let w be (m/(-20))/(99/(-60)). Find a, given that 8/11*a**3 - w*a - 4/11*a**2 + 6/11 - 2/11*a**4 = 0. -1, 1, 3 Let z(k) be the second derivative of -k**4/16 - 281*k**3/8 + 423*k**2/4 - k + 465. Factor z(u). -3*(u - 1)*(u + 282)/4 Let u(d) = -24*d**2 - 13*d + 3. Let w(j) = -277*j**2 - 144*j + 32. Let b(s) = -69*u(s) + 6*w(s). Factor b(n). -3*(n - 5)*(2*n - 1) Suppose 4*v + 2*x - 6 = 32, 0 = 5*v + 3*x - 47. Let i be 56/24 + 4 + v/(-3). Factor 9*j + 3/4*j**4 + 12*j**2 + 21/4*j**i + 0. 3*j*(j + 2)**2*(j + 3)/4 Suppose 5*v - 8*v = -4*w + 785, 0 = 5*w - 4*v - 982. What is j in 4*j**2 + j**2 + 526 - 177*j + w + 57*j = 0? 12 Let m = 5 + -9. Let u be -1*m/14 + (-168)/(-98). Solve 0*w**4 + w**3 + 7*w**3 + 3*w**4 - u*w**3 = 0 for w. -2, 0 Let u(r) = 72*r - 68. Let i be u(-9). Let c = i + 722. Suppose 0 - 15/2*o**5 + c*o**4 + 9*o**3 - 3/2*o - 6*o**2 = 0. What is o? -1, -1/5, 0, 1 Factor -736/7 - 400/7*m - 2/7*m**3 - 62/7*m**2. -2*(m + 4)**2*(m + 23)/7 Factor 608/7*f**3 + 128/7 - 704/7*f**2 + 192/7*f - 216/7*f**4 + 4*f**5. 4*(f - 2)**4*(7*f + 2)/7 Let k(f) = f**3 + 14*f**2 - 27*f - 36. Let j be k(-11). Factor 36 - 80*s + 5723*s**2 - 1587*s**3 - 686*s**2 - j*s - 136*s. -3*(s - 3)*(23*s - 2)**2 Factor -673/9*h**2 + 616/9*h + 283/9*h**3 - 196/9 - 31/9*h**4 + 1/9*h**5. (h - 14)**2*(h - 1)**3/9 Let k(a) = -2192*a - 8. Let y be k(-1). Factor 127*h**3 + 10660*h - 17576 + y*h + 37*h**3 - 2340*h**2 - 4*h**4. -4*(h - 13)**3*(h - 2) Let v be 28/(-70) - (-204)/85. Let d(t) be the first derivative of 3/8*t**v - 26 - 3/2*t + 1/4*t**3. Factor d(k). 3*(k - 1)*(k + 2)/4 Let h(u) be the first derivative of 5*u**4/4 + 15*u**3 + 20*u**2 - 300*u - 11. Factor h(k). 5*(k - 2)*(k + 5)*(k + 6) Let g(z) be the first derivative of 2/15*z**3 - 38/5*z - 3 + 18/5*z**2. Factor g(n). 2*(n - 1)*(n + 19)/5 Let z(l) be the third derivative of l**6/360 + 16*l**5/5 + 383*l**4/24 + 287*l**3/9 + l**2 - 255. Let z(r) = 0. Calculate r. -574, -1 Suppose 41*h - 6338 + 6133 = 0. Let d(p) be the second derivative of 20*p + 0 + 3/2*p**2 + 1/2*p**4 + 3/40*p**h + 5/4*p**3. Let d(k) = 0. What is k? -2, -1 Suppose 0 = -3*d + 625 - 37. Factor d*u**3 - 104*u**3 + 15*u - 97*u**3 - 10*u**2. -5*u*(u - 1)*(u + 3) Let f = 391 + -321. Factor -69 - 110 + 2*t**2 - 17 - f*t + 48. 2*(t - 37)*(t + 2) Solve -5*w**4 - 25*w**2 + 35*w + 40*w**3 - 20*w**3 - 22*w**3 + 30 - 7*w**3 - 26*w**3 = 0. -6, -1, 1 Suppose -56/19*n**2 + 2/19*n**4 - 96/19*n + 0*n**3 + 0 = 0. What is n? -4, -2, 0, 6 Factor 30*z**3 - z**3 + 107580*z - 13*z**3 + 1316*z**2 - 12*z**3 - 108900. 4*(z - 1)*(z + 165)**2 Factor 31*q**2 + q - 6*q**2 - 146 - 148*q - 13*q**2 - 13*q**2. -(q + 1)*(q + 146) Let s be -2*(-2)/36*3. Let j be -31 - (-25 - -12) - 2420/(-132). Factor j*n**2 + s*n**3 - 1/3 - 1/3*n. (n - 1)*(n + 1)**2/3 Let r(t) be the first derivative of 62 + 2*t**3 + 21/2*t**2 + 9*t. Factor r(c). 3*(c + 3)*(2*c + 1) Factor -42*x - 159*x**4 - 5*x - 51*x**2 - 3*x**3 - 156*x**4 + 318*x**4 + 2*x. 3*x*(x - 5)*(x + 1)*(x + 3) Determine h, given that 43*h**4 + 66*h**2 - 144*h + 16*h**2 - 16*h**2 + 2019*h**3 + 41*h**4 = 0. -24, -2/7, 0, 1/4 Let j(u) be the third derivative of u**8/80640 - u**7/1680 + 49*u**5/20 - 5*u**2. Let m(z) be the third derivative of j(z). Factor m(r). r*(r - 12)/4 Let b = 16 + -5. Suppose -3*a - 5 + b = 0. What is c in -2*c**2 + 9*c - 13*c - 2*c**a = 0? -1, 0 Let c = -474 + 479. Let -18*h**2 + h**3 + 12*h**4 + 3*h**3 - h**3 + 3*h**c = 0. Calculate h. -3, -2, 0, 1 Suppose 308 = -724*h + 801*h. Let d(r) be the first derivative of 0*r + 3/20*r**h - 9 + 0*r**2 - 2/5*r**3. Suppose d(q) = 0. What is q? 0, 2 Determine g so that -36*g**2 + 87*g**3 + 160*g - 43*g**3 - 45*g**3 = 0. -40, 0, 4 Let d(g) be the third derivative of g**7/210 - 9*g**6/40 - 59*g**5/60 + 9*g**4/8 + 29*g**3/3 + 1180*g**2. Find r, given that d(r) = 0. -2, -1, 1, 29 Let l(n) = -24964*n**2 - 7596*n - 570. Let y(k) = -49928*k**2 - 15194*k - 1139. Let z(m) = 13*l(m) - 6*y(m). Factor z(b). -4*(79*b + 12)**2 Let k(b) be the second derivative of 0*b**3 + 0*b**2 - 35*b + 2/3*b**4 - 1/20*b**5 + 0. Factor k(v). -v**2*(v - 8) Suppose 207*j + 2174*j - 2322 - 2440 = 0. Solve -12/5*c**2 + j*c + 24/5 + 2/5*c**3 = 0. -1, 3, 4 Let k be (-4)/(40/(-6)) - (-17)/5. Suppose -4*h + 23*z + k = 27*z, h + 4*z - 4 = 0. Let -2/7*a**2 + h*a + 0 - 1/7*a**3 + 1/7*a**4 = 0. Calculate a. -1, 0, 2 Let d = -2/625193 + 2500790/5626737. Let 2/9*i**4 - 8/9*i**2 + d*i - 4/9*i**3 + 2/3 = 0. Calculate i. -1, 1, 3 Suppose -11*o + 3*n = -19*o + 39, o = n - 2. Find p, given that 1331/7 + 363/7*p + 1/7*p**o + 33/7*p**2 = 0. -11 Let a(o) = -4*o + 157. Let v be a(33). Let -c**3 - v*c**2 - 4 + 35*c**2 + 4 - 15*c - 10*c = 0. What is c? 0, 5 Let v(g) be the third derivative of -g**7/70 + 3*g**6/20 + 407*g**5/20 - 156*g**4 - 21632*g**3 + 2624*g**2. Factor v(h). -3*(h - 16)**2*(h + 13)**2 Let g(r) = -4*r**3 - 20*r - 6. Let x(z) = 1 + 6*z**3 - 4*z**3 + 3*z**3 + 21*z + 1 + 3. Let j(u) = -7*g(u) - 6*x(u). Factor j(o). -2*(o - 3)*(o + 1)*(o + 2) Let f be 1 + 3 - (13 + -11). Let -q**2 - 45 + 24*q + 2*q**2 + q**2 + q**f + 18 = 0. What is q? -9, 1 Factor -2/11*k**2 + 216/11 + 46/11*k. -2*(k - 27)*(k + 4)/11 Suppose -9*s = -74 + 2. Factor 40*t**2 - 20*t**2 - s*t + 33*t - 40*t**2. -5*t*(4*t - 5) Suppose -897 - 3*v**2 - 1911*v - 1900 + 889 = 0. Calculate v. -636, -1 Let o = -4635/8 - -78875/136. Solve -4/17*q**3 + 4/17*q + 0 + 10/17*q**2 - o*q**4 = 0. -1, -2/5, 0, 1 Let k(j) be the third derivative of -9*j**7/70 - 23*j**6/40 - 3*j**5/10 + j**4 - 146*j**2 - 2*j. Factor k(r). -3*r*(r + 1)*(r + 2)*(9*r - 4) Let i(w) = -2*w**3 + 14*w**2 + w - 5. Let z(h) = h**2 + 9*h + 25. Let n be z(-6). Let o be i(n). Factor 8/3*t - 2 - 2/3*t**o. -2*(t - 3)*(t - 1)/3 Let h(k) be the third derivative of k**5/40 + 75*k**4/8 + 2*k**2 + 1391*k - 1. Determine f, given that h(f) = 0. -150, 0 Let a be 16/(-40) + 34/10 + 4. Suppose c**4 - 96 + 50 - 9*c + 38 + a*c**2 + 9*c**3 = 0. Calculate c. -8, -1, 1 Let w(t) be the second derivative of t**5/15 - 586*t**4/9 + 56840*t**3/3 + 115248*t**2 + 1169*t. Factor w(v). 4*(v - 294)**2*(v + 2)/3 Let r = -385318 + 385318. What is m in r - 1/3*m**5 - 5/3*m**3 - 5/3*m**4 + 5/3*m**2 + 2*m = 0? -3, -2, -1, 0, 1 Let n(a) = -13*a**2 + 148*a - 13. Let b(t) = -9*t**2 + 99*t - 6. Let o(c) = 7*b(c) - 5*n(c). What is m in o(m) = 0? 1/2, 23 Let w be ((-10)/(-55))/((-32)/(-88)). Suppose -10*s + 32 = 6*s. Find r such that 2*r**s + 0 - 5/2*r + w*r**3 = 0. -5, 0, 1 Let z(a) = a + 9*a - 5*a - 31. Let x be z(9). Factor -9*m + 2 + 0*m - x*m**3 - 2*m**2 + 23*m. -2*(m - 1)*(m + 1)*(7*m + 1) Let l = 494 - 510. Let z(u) = u**2 + 3*u - 1. Let w(p) = 12*p**2 + 172*p + 112. Let k(r) = l*z(r) + w(r). Factor k(m). -4*(m - 32)*(m + 1) Let m(y) be the second derivative of -1/35*y**5 - 16/21*y**3 + 46*y - 2 + 0*y**2 - 3/7*y**4. Determine i so that m(i) = 0. -8, -1, 0 Let i(j) be the first derivative of 0*j**3 + 15/2*j**2 - 10*j + 222 - 5/4*j**4. Factor i(c). -5*(c - 1)**2*(c + 2) Let x be 0/(-7) - 3 - -5. Solve -a**5 - 20*a**3 - 100*a**2 + 8*a**4 + 209*a**x + 3*a**3 - 99*a**2 = 0. 0, 1, 2, 5 Let j = -675684 + 675688. Factor -2*r**3 + 0 + 20/9*r**2 + 0*r - 2/9*r**j. -2*r**2*(r - 1)*(r + 10)/9 Let h(u) = -15*u - 130. Let a be h(-9). Let o(k) = 3*k**2 + 21*k - 13. Let c be o(14). Let -889 - a*i**2 + 10*i + 15*i + c = 0. What is i? 1, 4 Let p be (1 - (3 - 6))*(-8)/(-11 + -37). What is s in -8/3*s**3 + 2*s**2 + p*s**4 - 8/3 + 8/3
{ "pile_set_name": "DM Mathematics" }
at is 618 minutes before 5:59 PM? 7:41 AM What is 485 minutes after 7:31 AM? 3:36 PM What is 243 minutes before 4:49 AM? 12:46 AM How many minutes are there between 3:09 PM and 8:19 PM? 310 What is 250 minutes after 3:17 AM? 7:27 AM How many minutes are there between 12:17 AM and 6:12 AM? 355 What is 429 minutes before 11:27 PM? 4:18 PM How many minutes are there between 11:06 PM and 6:49 AM? 463 How many minutes are there between 6:48 PM and 9:34 PM? 166 What is 432 minutes before 2:41 PM? 7:29 AM How many minutes are there between 12:15 PM and 11:31 PM? 676 How many minutes are there between 1:00 AM and 9:12 AM? 492 How many minutes are there between 6:12 PM and 4:39 AM? 627 How many minutes are there between 8:12 AM and 1:17 PM? 305 What is 328 minutes before 3:23 PM? 9:55 AM What is 127 minutes after 5:44 PM? 7:51 PM How many minutes are there between 9:35 PM and 4:47 AM? 432 What is 474 minutes after 4:59 PM? 12:53 AM How many minutes are there between 1:59 PM and 8:24 PM? 385 What is 660 minutes before 10:42 PM? 11:42 AM How many minutes are there between 3:41 AM and 1:14 PM? 573 How many minutes are there between 6:04 PM and 3:42 AM? 578 What is 423 minutes after 4:06 PM? 11:09 PM How many minutes are there between 10:57 PM and 3:11 AM? 254 What is 246 minutes before 11:35 PM? 7:29 PM What is 623 minutes before 4:20 PM? 5:57 AM What is 669 minutes after 1:31 PM? 12:40 AM What is 313 minutes before 5:09 PM? 11:56 AM What is 707 minutes after 7:36 AM? 7:23 PM How many minutes are there between 12:39 AM and 12:25 PM? 706 What is 167 minutes after 8:50 AM? 11:37 AM What is 341 minutes after 3:17 AM? 8:58 AM What is 217 minutes before 6:42 PM? 3:05 PM How many minutes are there between 12:19 AM and 10:01 AM? 582 How many minutes are there between 12:45 AM and 8:22 AM? 457 What is 142 minutes before 2:09 PM? 11:47 AM How many minutes are there between 2:32 PM and 1:08 AM? 636 How many minutes are there between 6:22 PM and 6:57 PM? 35 What is 706 minutes after 8:22 PM? 8:08 AM What is 692 minutes after 4:46 PM? 4:18 AM How many minutes are there between 4:04 PM and 8:53 PM? 289 How many minutes are there between 12:55 AM and 4:55 AM? 240 What is 610 minutes before 6:26 AM? 8:16 PM What is 423 minutes before 4:25 PM? 9:22 AM How many minutes are there between 10:25 AM and 8:35 PM? 610 What is 408 minutes before 9:09 AM? 2:21 AM What is 454 minutes before 7:23 PM? 11:49 AM How many minutes are there between 6:36 AM and 7:58 AM? 82 How many minutes are there between 8:34 AM and 1:25 PM? 291 How many minutes are there between 5:34 AM and 2:41 PM? 547 What is 148 minutes before 12:48 PM? 10:20 AM What is 240 minutes after 4:04 AM? 8:04 AM What is 491 minutes after 3:04 AM? 11:15 AM How many minutes are there between 8:42 AM and 12:51 PM? 249 What is 293 minutes before 7:34 PM? 2:41 PM What is 191 minutes after 7:22 AM? 10:33 AM How many minutes are there between 8:52 AM and 2:59 PM? 367 What is 286 minutes before 7:29 PM? 2:43 PM How many minutes are there between 8:16 AM and 7:26 PM? 670 How many minutes are there between 9:48 AM and 2:50 PM? 302 What is 708 minutes after 10:15 PM? 10:03 AM What is 599 minutes after 8:35 PM? 6:34 AM How many minutes are there between 12:37 AM and 1:28 AM? 51 What is 156 minutes after 12:19 AM? 2:55 AM How many minutes are there between 9:13 PM and 1:08 AM? 235 What is 564 minutes after 2:30 PM? 11:54 PM What is 313 minutes before 2:40 PM? 9:27 AM How many minutes are there between 5:47 PM and 4:04 AM? 617 How many minutes are there between 10:48 AM and 3:58 PM? 310 What is 644 minutes after 1:02 PM? 11:46 PM How many minutes are there between 5:55 AM and 3:46 PM? 591 What is 62 minutes after 4:27 AM? 5:29 AM What is 130 minutes before 6:43 AM? 4:33 AM What is 223 minutes after 5:08 PM? 8:51 PM How many minutes are there between 12:14 PM and 9:58 PM? 584 How many minutes are there between 11:10 PM and 6:18 AM? 428 What is 323 minutes before 11:05 AM? 5:42 AM What is 266 minutes before 6:27 AM? 2:01 AM How many minutes are there between 5:58 AM and 11:15 AM? 317 What is 235 minutes after 11:17 AM? 3:12 PM What is 171 minutes before 2:01 AM? 11:10 PM What is 96 minutes after 11:11 AM? 12:47 PM How many minutes are there between 5:32 PM and 3:18 AM? 586 What is 458 minutes after 3:26 AM? 11:04 AM What is 366 minutes before 7:57 AM? 1:51 AM How many minutes are there between 4:25 PM and 9:11 PM? 286 What is 71 minutes after 6:01 AM? 7:12 AM What is 235 minutes after 6:30 PM? 10:25 PM How many minutes are there between 10:02 PM and 11:33 PM? 91 How many minutes are there between 8:46 PM and 1:56 AM? 310 What is 240 minutes before 11:43 PM? 7:43 PM How many minutes are there between 7:50 AM and 7:17 PM? 687 What is 322 minutes after 1:37 PM? 6:59 PM What is 237 minutes after 5:01 AM? 8:58 AM What is 457 minutes after 1:57 AM? 9:34 AM How many minutes are there between 1:07 PM and 6:30 PM? 323 What is 166 minutes before 2:18 PM? 11:32 AM How many minutes are there between 6:17 PM and 2:45 AM? 508 What is 295 minutes after 12:16 PM? 5:11 PM What is 502 minutes before 7:37 PM? 11:15 AM What is 399 minutes before 7:35 PM? 12:56 PM What is 687 minutes after 11:01 PM? 10:28 AM How many minutes are there between 2:09 AM and 12:20 PM? 611 What is 191 minutes before 7:52 AM? 4:41 AM How many minutes are there between 6:17 PM and 12:12 AM? 355 What is 194 minutes before 6:58 PM? 3:44 PM How many minutes are there between 1:36 AM and 7:13 AM? 337 How many minutes are there between 7:16 PM and 1:23 AM? 367 What is 430 minutes before 2:23 AM? 7:13 PM What is 366 minutes before 2:32 PM? 8:26 AM How many minutes are there between 12:10 PM and 1:19 PM? 69 What is 238 minutes before 8:46 PM? 4:48 PM What is 446 minutes after 4:28 AM? 11:54 AM What is 252 minutes before 11:08 AM? 6:56 AM How many minutes are there between 11:46 AM and 1:15 PM? 89 How many minutes are there between 3:01 AM and 5:30 AM? 149 What is 158 minutes before 12:21 AM? 9:43 PM What is 439 minutes before 12:26 AM? 5:07 PM What is 141 minutes after 9:49 AM? 12:10 PM How many minutes are there between 2:36 PM and 12:56 AM? 620 What is 173 minutes before 10:31 PM? 7:38 PM How many minutes are there between 4:32 AM and 5:21 AM? 49 What is 692 minutes before 9:34 PM? 10:02 AM How many minutes are there between 4:31 PM and 11:34 PM? 423 How many minutes are there between 10:40 PM and 1:18 AM? 158 How many minutes are there between 10:09 PM and 2:20 AM? 251 How many minutes are there between 8:56 AM and 12:56 PM? 240 What is 430 minutes before 10:07 AM? 2:57 AM What is 404 minutes after 6:31 AM? 1:15 PM What is 488 minutes before 3:42 PM? 7:34 AM What is 705 minutes before 7:45 AM? 8:00 PM What is 98 minutes after 7:06 AM? 8:44 AM How many minutes are there between 10:31 AM and 12:07 PM? 96 What is 231 minutes before 8:05 PM? 4:14 PM How many minutes are there between 6:36 PM and 1:30 AM? 414 How many minutes are there between 12:30 AM and 3:34 AM? 184 How many minutes are there between 9:58 PM and 6:14 AM? 496 How many minutes are there between 4:06 AM and 1:04 PM? 538 What is 56 minutes after 12:35 PM? 1:31 PM How many minutes are there between 4:57 AM and 11:28 AM? 391 What is 207 minutes before 6:29 PM? 3:02 PM How many minutes are there between 3:50 PM and 8:01 PM? 251 How many minutes are there between 11:40 AM and 2:16 PM? 156 How many minutes are there between 10:49 AM and 9:17 PM? 628 How many minutes are there between 4:05 PM and 12:13 AM? 488 How many minutes are there between 10:16 PM and 12:17 AM? 121 What is 277 minutes before 10:45 PM? 6:08 PM How many minutes are there between 1:21 PM and 3:55 PM? 154 How many minutes are there between 1:32 PM and 3:23 PM? 111 How many minutes are there between 8:03 AM and 8:44 AM? 41 What is 209 minutes after 4:56 PM? 8:25 PM How many minutes are there between 2:13 AM and 7:38 AM? 325 What is 457 minutes before 2:24 PM? 6:47 AM What is 470 minutes before 12:37 PM? 4:47 AM What is 582 minutes after 11:29 PM? 9:11 AM How many minutes are there between 8:59 PM and 12:36 AM? 217 How many minutes are there between 9:51 PM and 9:07 AM? 676 What is 514 minutes before 3:05 PM? 6:31 AM What is 56 minutes before 11:31 PM? 10:35
{ "pile_set_name": "DM Mathematics" }
rom ynujecye. 1/420 Calculate prob of sequence fu when two letters picked without replacement from {h: 1, f: 2, t: 4, u: 2}. 1/18 Three letters picked without replacement from bbmbyyw. Give prob of sequence ybm. 1/35 What is prob of sequence urr when three letters picked without replacement from auarukkurkurruu? 12/455 Four letters picked without replacement from {s: 6, r: 2}. Give prob of sequence ssrr. 1/28 Calculate prob of sequence nnan when four letters picked without replacement from {b: 6, n: 4, a: 3, m: 2}. 1/455 Two letters picked without replacement from {s: 3, o: 4, y: 2, l: 1, m: 1, x: 1}. Give prob of sequence ls. 1/44 Two letters picked without replacement from {a: 1, n: 1, k: 1, s: 1, b: 1}. What is prob of sequence ks? 1/20 Three letters picked without replacement from zzrezzrbzrrrzaazrr. What is prob of sequence zbr? 49/4896 What is prob of sequence xa when two letters picked without replacement from {x: 3, t: 6, a: 1, z: 4}? 3/182 Four letters picked without replacement from {p: 5, q: 1, z: 1, c: 7}. Give prob of sequence pcpz. 5/858 Two letters picked without replacement from mmmmccccmmmxcmwmccx. Give prob of sequence cm. 7/38 Two letters picked without replacement from {i: 4, a: 2, x: 1, s: 1, t: 1}. Give prob of sequence ii. 1/6 Four letters picked without replacement from {g: 9, y: 2, b: 2, s: 1}. Give prob of sequence gygb. 12/1001 Four letters picked without replacement from {p: 9, v: 2, l: 2}. Give prob of sequence pllp. 6/715 Two letters picked without replacement from rwgwwwwwgwgggwgwwgwg. What is prob of sequence rg? 2/95 Two letters picked without replacement from {b: 4, x: 1, f: 3, l: 4, s: 2}. What is prob of sequence lb? 8/91 Three letters picked without replacement from {g: 1, a: 1, u: 1}. Give prob of sequence gua. 1/6 Four letters picked without replacement from {z: 6, r: 6, k: 2, e: 3, n: 1}. Give prob of sequence rkrr. 1/306 Two letters picked without replacement from ffffffffffbffffffb. What is prob of sequence fb? 16/153 Calculate prob of sequence dud when three letters picked without replacement from {u: 3, d: 2}. 1/10 Calculate prob of sequence pj when two letters picked without replacement from {j: 9, p: 11}. 99/380 Calculate prob of sequence ew when two letters picked without replacement from {f: 6, e: 4, w: 1}. 2/55 Two letters picked without replacement from hbsbehbsebbbbb. What is prob of sequence ee? 1/91 Four letters picked without replacement from {b: 3, k: 2, y: 1, a: 3, c: 1}. What is prob of sequence aabc? 1/280 Two letters picked without replacement from hhgbhghbghb. What is prob of sequence bh? 3/22 What is prob of sequence vpe when three letters picked without replacement from {e: 2, p: 1, v: 2, n: 1, o: 1}? 2/105 Four letters picked without replacement from {m: 1, c: 1, b: 2, g: 2, x: 2}. What is prob of sequence xmgx? 1/420 Four letters picked without replacement from {m: 4, u: 7, o: 4}. What is prob of sequence mouu? 4/195 Three letters picked without replacement from ezzzzzgzzzz. What is prob of sequence zeg? 1/110 Four letters picked without replacement from kqqnknnlmpnnqnpnp. What is prob of sequence nppk? 1/680 Calculate prob of sequence df when two letters picked without replacement from {f: 6, z: 1, o: 1, u: 1, d: 4, k: 2}. 4/35 Calculate prob of sequence xrqe when four letters picked without replacement from {u: 1, r: 1, q: 1, x: 1, e: 1}. 1/120 What is prob of sequence fww when three letters picked without replacement from {n: 3, g: 3, w: 4, r: 3, f: 3}? 3/280 Calculate prob of sequence hwnn when four letters picked without replacement from {w: 1, n: 3, j: 1, z: 1, h: 1}. 1/140 Four letters picked without replacement from tyyytzttz. Give prob of sequence zyyz. 1/252 What is prob of sequence dy when two letters picked without replacement from {l: 3, d: 2, z: 1, j: 1, y: 12, f: 1}? 6/95 Calculate prob of sequence pxg when three letters picked without replacement from dpgxdgdppppggp. 1/91 Three letters picked without replacement from {e: 6, h: 10, u: 2}. What is prob of sequence eeh? 25/408 Four letters picked without replacement from dsuqjsw. Give prob of sequence dusj. 1/420 What is prob of sequence tqt when three letters picked without replacement from tvntnvvnnqvqnqqqv? 1/408 What is prob of sequence gs when two letters picked without replacement from sggssssssggg? 35/132 What is prob of sequence ei when two letters picked without replacement from {e: 2, i: 3, z: 6, o: 1}? 1/22 Two letters picked without replacement from {l: 1, d: 1, y: 2, n: 1}. What is prob of sequence yl? 1/10 Four letters picked without replacement from {h: 3, r: 2, l: 3}. Give prob of sequence rhlh. 3/140 Calculate prob of sequence mv when two letters picked without replacement from {j: 1, e: 2, s: 1, d: 1, m: 2, v: 1}. 1/28 Calculate prob of sequence mm when two letters picked without replacement from {m: 4, t: 6}. 2/15 Calculate prob of sequence rp when two letters picked without replacement from {i: 1, p: 2, r: 1}. 1/6 Calculate prob of sequence trrp when four letters picked without replacement from {p: 1, b: 2, q: 1, t: 1, r: 2}. 1/420 Three letters picked without replacement from dssxddddssx. What is prob of sequence dxd? 4/99 What is prob of sequence qqz when three letters picked without replacement from {z: 2, a: 2, c: 3, q: 4}? 4/165 Four letters picked without replacement from oooqoooobqooqboboo. What is prob of sequence ooqb? 11/680 Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaa. 1 Calculate prob of sequence ff when two letters picked without replacement from {m: 6, k: 5, f: 6, v: 1}. 5/51 What is prob of sequence qc when two letters picked without replacement from jcqccjccqjjcj? 1/13 Calculate prob of sequence queq when four letters picked without replacement from {e: 3, q: 4, a: 1, u: 11}. 11/2584 Calculate prob of sequence oo when two letters picked without replacement from sookaokksz. 1/15 Two letters picked without replacement from {g: 1, b: 2, z: 3, a: 5, x: 6}. Give prob of sequence aa. 5/68 Calculate prob of sequence qqpp when four letters picked without replacement from tqpqpqp. 3/70 Calculate prob of sequence ms when two letters picked without replacement from mmzmmwmwmszzmmzm. 3/80 Three letters picked without replacement from {o: 1, w: 1, i: 1, b: 2}. What is prob of sequence bbo? 1/30 Calculate prob of sequence zt when two letters picked without replacement from {z: 1, e: 1, t: 3}. 3/20 Calculate prob of sequence ztzz when four letters picked without replacement from {t: 14, z: 4}. 7/1530 What is prob of sequence jr when two letters picked without replacement from jninnnmnr? 1/72 Two letters picked without replacement from {m: 7}. What is prob of sequence mm? 1 What is prob of sequence cgg when three letters picked without replacement from {m: 5, g: 2, c: 9}? 3/560 Calculate prob of sequence yyyy when four letters picked without replacement from {e: 1, x: 1, y: 6, k: 2, q: 7, j: 2}. 5/1292 Calculate prob of sequence cccp when four letters picked without replacement from cccccccccccccpcpcp. 91/816 Two letters picked without replacement from {l: 8, u: 3, c: 7}. Give prob of sequence cl. 28/153 Three letters picked without replacement from {n: 2, m: 9, j: 3, l: 2}. What is prob of sequence nnl? 1/840 What is prob of sequence xfg when three letters picked without replacement from {j: 2, f: 1, w: 3, z: 3, x: 2, g: 1}? 1/660 Three letters picked without replacement from iddididdiniindiood. Give prob of sequence nno. 1/1224 Calculate prob of sequence ru when two letters picked without replacement from rtrrrrrttrrrrutttrr. 2/57 Calculate prob of sequence jjj when three letters picked without replacement from {j: 6}. 1 Two letters picked without replacement from {b: 7, l: 2}. What is prob of sequence bb? 7/12 Three letters picked without replacement from ttflztlzlh. Give prob of sequence hlf. 1/240 Calculate prob of sequence ijj when three letters picked without replacement from {i: 2, v: 2, p: 3, j: 2}. 1/126 What is prob of sequence ot when two letters picked without replacement from ottttttto? 7/36 What is prob of sequence nni when three letters picked without replacement from {n: 4, i: 14}? 7/204 Calculate prob of sequence ete when three let
{ "pile_set_name": "DM Mathematics" }
to base 6 -15203004 What is -10321022 (base 5) in base 9? -144833 What is 212101022010 (base 3) in base 2? 1110000010110111010 What is 200221201210 (base 3) in base 2? 1011011000100111101 Convert -1055356 (base 7) to base 4. -200013211 Convert 984cc (base 13) to base 5. 32303334 -212433110 (base 5) to base 13 -259157 21003133021 (base 4) to base 2 1001000011011111001001 305c9 (base 14) to base 7 663242 Convert -787160 (base 11) to base 7. -13441642 What is -3bcb0 (base 15) in base 9? -322163 What is -282741 (base 13) in base 2? -11101110011101000000 1536023 (base 7) to base 2 110011100000010010 What is 3e022 (base 16) in base 15? 503c6 Convert 245205 (base 10) to base 15. 4c9c0 -201012022101 (base 3) to base 6 -12033144 -640790 (base 12) to base 8 -6010134 2306426 (base 7) to base 4 1012103321 Convert 1011002210220020 (base 3) to base 12. 5651b80 4122204 (base 6) to base 15 3d7ba Convert -30eccb (base 15) to base 6. -121523002 3157a7 (base 14) to base 11 a395a0 Convert 105de (base 15) to base 14. 14d15 1101110110101001111010 (base 2) to base 3 20211111210211 Convert 614284 (base 9) to base 15. 72cc4 ba792a (base 15) to base 16 879349 What is 100002121110 (base 3) in base 4? 223231221 -104882b (base 13) to base 2 -10010111010111100010010 -39341 (base 16) to base 7 -1664051 Convert 43280 (base 12) to base 9. 144366 What is -102950 (base 10) in base 8? -311046 Convert 644a66 (base 11) to base 15. 155951 167466 (base 10) to base 2 101000111000101010 What is 222131331 (base 4) in base 10? 173949 9ef0 (base 16) to base 3 2001210222 -6304282 (base 9) to base 2 -1100110110011111110001 2321002014 (base 5) to base 16 501cd3 -12305310 (base 7) to base 14 -20cd07 What is 730267 (base 9) in base 11? 276563 Convert -10322003114 (base 5) to base 14. -1698641 What is -322422422 (base 6) in base 10? -5726318 249139 (base 10) to base 11 160200 6a52900 (base 11) to base 13 2723288 41ba5 (base 13) to base 12 58657 What is -13321103 (base 6) in base 11? -285167 -134764 (base 10) to base 5 -13303024 What is 76845 (base 14) in base 11? 1866a4 1222211120 (base 3) to base 10 39246 112103000 (base 4) to base 7 530156 Convert -73513 (base 12) to base 8. -447037 Convert -1210112000110 (base 3) to base 4. -3221021322 What is 442ca (base 14) in base 6? 3312510 Convert 1677180 (base 13) to base 15. 9891b6 2121311322 (base 4) to base 11 3a0483 What is -59a9b3 (base 12) in base 4? -11201320113 9aa90 (base 14) to base 4 1123213212 What is 111200b (base 12) in base 10? 3259019 What is -4af58 (base 16) in base 12? -129820 -212320043 (base 5) to base 8 -3340231 Convert ed837 (base 15) to base 3. 1102022221121 a5310e (base 16) to base 9 22330426 575121 (base 10) to base 12 2389a9 What is -21313021330 (base 4) in base 3? -11212100020121 -98d3 (base 16) to base 8 -114323 -7046 (base 10) to base 6 -52342 Convert 50332151 (base 8) to base 9. 21842008 Convert -2211212111 (base 3) to base 9. -84774 Convert 1977005 (base 12) to base 9. 11113635 What is -15343233 (base 6) in base 12? -221b19 What is 15982a6 (base 11) in base 3? 12010011120121 What is 10022012220222 (base 3) in base 12? 708322 Convert 116948 (base 13) to base 2. 1100101001110011001 What is -3024002210 (base 5) in base 8? -27137736 Convert -930ad (base 14) to base 13. -c5259 Convert -4255334 (base 6) to base 5. -23203431 -301323011032 (base 4) to base 9 -26556051 Convert -509a81 (base 13) to base 12. -7669a9 -101011101000000001110 (base 2) to base 9 -2617833 What is 50bd48 (base 16) in base 7? 62655431 5ab94 (base 12) to base 14 329b2 1a375 (base 14) to base 16 103f3 901a2a (base 14) to base 12 1757ab2 What is -4481242 (base 11) in base 14? -10846cb 144792 (base 10) to base 4 203112120 Convert 4324403 (base 8) to base 12. 479943 Convert -27115 (base 9) to base 3. -221010112 What is 576531 (base 8) in base 4? 233311121 What is 183047 (base 10) in base 8? 545407 What is -425120 (base 7) in base 3? -10202020122 What is -1100001111110110111110 (base 2) in base 9? -6033208 What is 5320120 (base 7) in base 2? 10011101000111001011 What is -88a780 (base 13) in base 2? -1100010010101001001001 6a775a (base 15) to base 9 10514114 56007b (base 12) to base 8 5161137 What is -96364 (base 13) in base 3? -111202111101 Convert -312231 (base 10) to base 8. -1141647 -20424025 (base 6) to base 10 -594449 What is -67164 (base 14) in base 11? -160902 What is 1010111111100110101 (base 2) in base 3? 200022011102 What is -7a67a (base 13) in base 3? -102022220201 Convert -9413 (base 14) to base 8. -61631 What is -12002302 (base 4) in base 10? -24754 What is -42a9795 (base 12) in base 15? -11a2ba8 353f40 (base 16) to base 15 48de50 212010102 (base 4) to base 15 312ec -45441253 (base 8) to base 16 -9642ab What is 142301113 (base 5) in base 8? 2654744 What is -10002110001222 (base 3) in base 13? -4567b5 Convert -3322616 (base 8) to base 12. -371692 Convert 541664 (base 8) to base 7. 1353125 What is -2212100120211 (base 3) in base 10? -1522579 9974245 (base 10) to base 12 3410171 Convert -754337 (base 8) to base 6. -5223131 10100000110001101010 (base 2) to base 11 40a851 340552 (base 6) to base 9 43355 What is 1651515 (base 7) in base 2? 111000011010111000 -31041510 (base 6) to base 5 -212021200 1588459 (base 10) to base 15 2159c4 10101001010011100 (base 2) to base 9 141815 What is -2034402 (base 5) in base 11? -23381 What is -437883 (base 9) in base 15? -52820 -14514155 (base 6) to base 8 -1737427 What is 1a77b3 (base 15) in base 14? 25869b -1201000022110 (base 3) to base 12 -378126 -670213 (base 9) to base 7 -3255222 Convert -2123544 (base 7) to base 2. -111111000010100101 93cc9 (base 13) to base 8 1007151 132c71 (base 13) to base 7 3640166 -23b497 (base 13) to base 8 -3202364 -44320124 (base 5) to base 12 -167228 -43277 (base 13) to base 6 -2333235 What is 1200122012 (base 3) in base 9? 50565 Convert -4333202231 (base 5) to base 14. -1335115 What is 929515 (base 15) in base 10? 6967145 What is 32445 (base 6) in base 7? 16046 Convert -176326 (base 8) to base 16. -fcd6 What is -a7dfd (base 16) in base 7? -5562463 462355 (base 7) to base 16 1424b 32020213 (base 7) to base 4 22111310311 Convert -3bc206 (base 14) to base 16. -1f937e What is 3a39b3 (base 13) in base 5? 330021442 Convert a62058 (base 13) to base 14. 73328b 61dd (base 16) to base 11 17906 Convert -9da5 (base 15) to base 11. -23154 -310ba (base 13) to base 9 -143674 What is -1021532 (base 9) in base 2? -10000101001110111110 10305301 (base 6) to base 7 2405422 What is 2223431320 (base 5) in base 8? 22554372 -23122123012 (base 4) to base 15 -3e16e4 10004360 (base 10) to base 3 200211021101212 1032451 (base 6) to base 2 1100011111001111 What is -460640 (base 8) in base 11? -a7287 Convert -193aa0 (base 11) to base 15. -5d508 -10004634 (base 7) to base 3 -1112221000020 What is 121720 (base 11) in base 16? 2f015 -154c97 (base 13) to base 8 -2001356 Convert -6601145 (base 9) to base 12. -122a97b Convert 2272012 (base 8) to base 12. 25a636 What is -20324c (base 13) in base 15? -ec16e -7444714 (base 8) to base 13 -546652 -210467 (base 8) to base 13 -25ab3 Convert 590c5 (base 13) to base 7. 1245313 What is 111022212211 (base 3) in base 10? 262354 What is 254086 (base 11) in base 2? 1100001110101010101 What is -34451 (base 16) in base 14? -58049 What is -ad63aa (base 14) in base 6? -330202550 Convert -4161223 (base 8) to base 11. -696431 -9d1192 (base 16) to base 11 -58a0854 -101000100111110 (base 2) to base 10 -20798 2874432 (base 9) to base 10 1584470 What is 37366b (base 13) in base 4? 11002220130 What is -270c19 (base 15) in base 16? -1c9f89 200010020012021 (base 3) to base 7 144564232 30559a (base 11) to base 4 1313300122 -112011110102 (base 3) to base 9 -464412 -20220202201120 (base 3) to base 2 -1110000001011111110010 Convert 22221201022 (base 3) to base 15. 37325 Convert 691209 (base 11) to base 7. 12226666 Convert 23c530 (base 13) to base 10. 855517 Convert 82b69 (base 12) to base 8. 516001 Convert 465032 (base 7) to base 12. 402b8 What is 3723816 (base 9) in base 8? 7560326 -36265003 (base 7) to base 8 -14235225 -471c5 (base 13) to base 16 -1fba1 What is -356128 (base 16) in base 4? -31112010220 -1135185 (base 14) to base 5 -4044243031 Convert -1605119 (base 11) to base 5. -1200312123 -b
{ "pile_set_name": "DM Mathematics" }
= -b. Solve -3*o + 5*a = -16, -q = 4*o - 3*a - b for o. -3 Let f be -1 - (2/2 - 11). Let b = 63 + -49. Let j = b - f. Solve o + j = 4*g, 0 = -0*g + 5*g - 5 for o. -1 Suppose -3*n + 24 = 3. Suppose -2*t + n = 3. Solve 2*r + t = -2*l, 3*r + 3*l - l = -6 for r. -4 Suppose 0 = -3*b + 5*m + 34, 3*b - 5*m = 2*b + 28. Solve -2*c = -3*a - 11, 0*c - 4*c = b*a + 5 for a. -3 Let x(g) = g**2 + 3*g - 5. Let y be x(-5). Let d = -2 + y. Suppose d = 2*o - o, 4*a + 7 = 5*o. Solve -p + a*u = -2*u + 13, 0 = 2*p + 2*u - 14 for p. 3 Let a(w) = w. Let t be a(4). Solve -o + t*o - c - 7 = 0, -5*o - 2*c = 3 for o. 1 Let l = 22 + -21. Solve 0 = -w + 5*y - 10, w - 2*y = -0 - l for w. 5 Let p(z) = -z + 13. Let f be p(12). Solve j - 6 = 2*d - f, -j - 4*d - 1 = 0 for j. 3 Let d(x) = -x**3 + 7*x**2 + 2*x - 3. Let a be d(7). Solve 5*o = p + a, o + 5 = -p + 4*o for p. 4 Suppose 12*c - 5*c = 0. Solve 3*j - 16 = 4*v + 7, c = j + 4*v + 3 for j. 5 Suppose 5*v - 10 = -0*v. Let r be v + -3 - -3 - -2. Solve -h = -r*a + 3 - 8, -7 = 4*a - 3*h for a. -1 Suppose n = -0*h - 2*h - 7, -2*h + n = 9. Let p = h + 7. Solve v - 5 = -0*v, p*v = -2*i + 9 for i. -3 Let i(q) = q**2 + 8*q - 4. Let c be i(-8). Let z(g) = -g**3 - 3*g**2. Let p be z(c). Suppose 9*k - 4*k = 0. Solve -5*b - 2*n + 42 - p = 0, k = n - 3 for b. 4 Let s = 6 + -4. Solve 0 = 2*v - 4, -z - v = s*v - 8 for z. 2 Let h be (-26)/(-8) + 6/8. Suppose 3*d + m = -3*m + 3, -5*m = -h*d + 35. Solve 0 = -f + d*r + 19, 5*f + 6*r - 5*r = -9 for f. -1 Let u = -12 - -24. Let y = u - 7. Solve -y = 3*j + 4*l, -4*j - 5*l + 1 = 7 for j. 1 Let n(b) = -b**2 - 11*b + 4. Let q be n(-10). Suppose -2*s = -5*s + 6. Solve 2*u - 2*p = -q, s*u = 6*u - p + 16 for u. -3 Let i(m) = -2*m + 15. Let z be i(6). Solve z*r + 1 = -s - 11, r - 4*s = 9 for r. -3 Let k = -11 + 14. Let s(l) = -l**3 + 4*l**2 - l - 4. Let t be s(k). Let j be (2/(-1))/2 - -1. Solve 5*b - t = -2*p - 11, 5*b - 3*p + 24 = j for b. -3 Suppose j - 3*c = -11, 4*j = -j + c - 13. Let f be -2*j*(-12)/(-16). Solve 2*v + 6 = f*q, -3*q + 2*v = -6*q - 6 for q. 0 Let h = 4 - 4. Let v(a) = 4*a - 1. Let r be v(1). Let m = r - 0. Solve -5*t = 5*d + 1 + 14, h = m*d + 2*t + 4 for d. 2 Suppose -26 + 18 = -2*g. Suppose -2*l + 14 = 2*m, -8 = g*m - 24. Solve -2*o = -5*p - 3, o - 3 = -2*p + l*p for o. 4 Suppose 0 = 22*m - 20*m. Solve 5*u - o - 27 = -m*o, 4*u + 5*o = 10 for u. 5 Let i(x) = 4*x**3 + 3*x**2 - 2*x + 1. Let z be i(2). Let b = -2 + -17. Let m = z + b. Solve -4*y = -3*l + m, 5*y - 2*l + 10 = -7*l for y. -4 Suppose 2*d - 57 = -d. Suppose 5*r + 1 = -4, -v - 3*r = -3. Suppose -a + v = 2*a. Solve -2*f + d = 3*o, -a*o + 6*o = -5*f + 30 for o. 5 Let y = 56 + -54. Solve -5*s - 20 = -5*k, 0*s - y*k + 9 = -s for s. 1 Suppose y - 20 = -4*y. Solve 2*p = -y*d + 2, -2*p - 7 = d - 3 for p. -3 Suppose 2*c + 4*v = 20, 2*c + 13 = 4*v + 1. Suppose 0 = c*p - 2 - 2. Solve 4*n = 0, 0 = 2*k + p*k - 3*n - 4 for k. 1 Suppose -h = h - 12. Let t be -2*1*(-9)/h. Let p be 1/(6/20)*t. Solve 5*m = 2*r - 14, -m - r + 3 = p for m. -4 Suppose 0 = -8*g + 3*g. Suppose 0 = -g*u - 5*u + 100. Solve 4*o = -5*r + u, -3*o + r + 4 = -11 for o. 5 Suppose 7 + 9 = 8*n. Solve 0 = 2*p + 1 - 5, n*g = 2*p - 6 for g. -1 Let h be (3/9)/(1/6). Suppose 4 - 1 = i. Let l = h + i. Solve 29 = r - l*r + 5*n, n = -5*r for r. -1 Let b(g) = -45*g - 2. Let f be b(-1). Suppose -5 = 2*q + 2*x - 19, 5*q - f = 3*x. Solve 3*h + 8 = -i, 0 = 2*i + 3*h - h + q for i. -2 Suppose -4*w + 4 = -2*n, -3*w - 2*w + 3*n + 3 = 0. Suppose -2*z = -4*g - 6*z + 8, -w*z = 2*g - 3. Solve -3*b + 6 = -g*t, 3*b - 4*t - 1 = 4 for b. 3 Let t = 13 - -19. Suppose -4*f - 24 = -3*b, 2*f = 4*b + 5*f - t. Let a be (b/3)/((-3)/(-9)). Solve 0 = o - 4, -3*l + 0*l - o - a = 0 for l. -4 Suppose -6*a + a = -20. Let z = -2 - -3. Suppose -3*o + z = a*t, -11 = -5*t + t - o. Solve b - 1 = c + 3*b, -b - 4 = t*c for c. -1 Let i(f) = 2*f**2 + f + 2. Let p be i(-1). Solve p = 2*b - 4*k - 11, -4*b + 7 = -k for b. 1 Suppose 0 = i - 6 - 14. Suppose 4*v = 4*j + i, 32 = 5*v + 2*j - 0. Let c = 1 - -3. Solve -v = h - 2*x, h + 16 = 5*x + c for h. -2 Suppose 0*t - 4*t = -32. Let a = t - 2. Let l(o) = 3*o**2 + o. Let w be l(-2). Solve -a*b + 2*b = 2*q - w, 0 = 2*b - 2*q - 14 for b. 4 Let s = 7 + -22. Let d be (4/10)/((-3)/s). Suppose 4*g - 4 = 8. Solve g*r - n = -6, 4*n + 0 + 4 = -d*r for r. -2 Suppose -a = -5*z - 6, 3*z - 8*z - 2*a = 3. Let t = 2 - z. Suppose -2 + 34 = 4*w. Solve t*g - g = -5*k - w, 0 = 4*g + 2*k for g. 1 Let b(u) = 29*u**3 - u**2 - 2*u + 2. Let o be b(1). Solve 3*d - d - 4*j - 24 = 0, -o = -2*d + 5*j for d. 4 Suppose 2*w - 7*w + 15 = 0. Suppose 7*d - 16 = 3*d. Suppose 0*y - y + d = h, 0 = -w*h + y + 20. Solve 4*a + 3*j + 2 = 14, -h = -2*a - 5*j for a. 3 Let f(d) = 4*d**2 + 3*d - 2. Let o be f(-3). Let b = 42 - 30. Suppose b - 27 = -5*x. Solve -5*z = 3*r + o, 5 = -x*r + 3*z - 4 for r. -5 Let t(o) = -o**3 - 3*o**2 - 2*o - 3. Let f be t(-3). Let x be (f + 1)*(-3)/(-3). Solve 13 = -x*p - y, p - 18 = -y + 5*y for p. -2 Suppose -6*j - 90 = -9*j. Solve p = -4*p - m + j, -p = 4*m - 25 for p. 5 Suppose -3*k + 16 = -2*l - 13, 0 = 5*l + 5. Let p be 8/(-6)*k/(-6). Let m = p + 0. Solve m*a = -a + 5*q - 5, 2*a + 2*q + 14 = 0 for a. -5 Suppose -12 = -5*m + 58. Solve -2*r - v = 5, -3*r - m = r - 2*v for r. -3 Suppose 5*u = 3*u + 10. Solve -9 = -5*a - 3*i + 4*i, 0 = 5*a + u*i - 15 for a. 2 Let s(t) = -t + 1. Let z(k) = 3*k - 1. Let d be z(1). Let c be s(d). Let p = 4 - c. Solve p*b - 6 = 4*u, 0 = 4*u - b + 2*b - 6 for u. 1 Let v be -4 - (-3 + (-6 - -1)). Solve 14 = -2*z + 3*z - 3*x, v*z + 5*x + 12 = 0 for z. 2 Suppose -6 = -3*j - 0. Solve j*a - 2*k + 8 = 0, 2*a - 3*k = 2*k - 20 for a. 0 Let v = 27 + -22. Solve -2*k - 3*m = 7, 0 = -4*k - v*m - 15 + 4 for k. 1 Suppose -5*z = -2*n - n - 8, 4*z = 5*n + 9. Let i = 4 + z. Solve 2*u - 2*c + 2 = i*u, 4*u + c - 6 = 0 for u. 2 Suppose 4*r - 8 = 4. Solve 8 = t + 4*k - r*k, 2*t + 3*k = 19 for t. 5 Suppose 4 + 91 = 19*b. Let v(d) = 3*d + 2. Let l be v(3). Let y = l - 7. Solve 3*w - 18 - 1 = -y*z, -5*z - b*w = -25 for z. 4 Let o be ((-24)/(-30))/(2/(-15)). Let v be (-70)/o + 2/6. Solve -4*n = -0*n - v, b + 2*n - 6 = 0 for b. 0 Let v be (-6)/9 - (-8)/3. Let u = 17 - v. Suppose 5*b = -t - 3*t - 3, -4*b - 12 = 0. Solve 4*q + 21 = -o, -t*o - u = 5*q + 20 for o. -5 Let h(x) = -16*x**2 - 1. Let o be h(-1). Let u = o + 20. Solve -2*y - 16 = -0*q + u*q, 1 = y - 3*q for y. -5 Let i be (0 + 1*-5)/1. Let m = -5 - i. Solve 2*t = n + 6, -5*n - 3*t - 2*t + 45 = m for n. 4 Let h(q) = 17*q + 1. Let z be h(2). Suppose 2*k + 0*k - 3*n = -49, -3*k = 2*n + 41. Let o = z + k. Solve s + o = -2*s - 3*v, 5*s + 6 = 3*v for s. -3 Let f be 16/7 + (3 - 138/42). Solve 14 = -f*u - 2*g - g, -2*g = -2*u + 6 for u. -1 Suppose 5*f - 5*l - 30 = 0, -5*f + 6*f - 15 = 4*l. Solve f*a + 3*m = -3, -a = -5*a - 5*m - 2 for a. -3 Let t = 142 - 139. Solve -2 = 3*g - g - t*v, 5*g - 17 = 2*v for g. 5 Suppose -18 = -3*g + 12. Solve -3*a = -m + 14, 2*m + 3*m - g = 3*a for m. -1 Let o(m) = -m**2 + 10*m - 12. Let s be o(8). Solve k + s = h, 3*k + 4*h + 5 = -0*k for k. -3 Let c(d) = -d**2 - 10*d - 12. Let b be c(-8). Solve b*n = 2*t, 0 = -3*n + t - 3*t + 14 for n. 2 Let s(k) = -k**2 + 11*k + 16. Let x be s(12). Let l = 2 + 3. Suppose -o - 11 = -3*f - 0*o, 5*f - l*o - 35 = 0. Solve 2*q + 0*g + g - f = 0, -g = x for q. 3 Let m = -5 + 11. Let l = 9 - m. Solve -3*i + 4 = -2, 4*c + 22 = l*i for c. -4 Let w(k) be the first derivative of -1/4*k**4 + 9/2*k**2 - 3*k + 2*k**3 + 3. Let b be w(7). Solve -3*x - c - b = 0, 13 + 4 = -3*x + 5*c for x. -4 Suppose j + x - 16 = -4*j, -2*j - 5*x = -11. Suppose -2 = j*t - 8. Solve 0 = 4*r + 2*v - 18, -2*r + 2*v + 22 = t*r for r. 5 Let x(i) = i + 2. Let y be x(-2). Let h be y/(-1)*2/(-4). Solve -4*j - 2 = -3*c, h*j + j = 1 for c. 2 Let x be 6/4 - 3/(-2). Solve 2*p - 2*m = x*m + 3, -4*p = 4*m - 20 for p. 4 Let j(k) be the third derivative of k**5/30 - k**4/8 - k**3/2 + k**2. Let f be j(3). Suppose -f*o = -o. Solve 0 = 3*l + c - 5, 3*l - l - c - 5 = o for l. 2 Suppose 0 = 3*g + 12 - 0. Let w be (-1)/4 - 49/g. Solve 4*h = 2*t - w, -3 - 5 = -2*t + 3*h for t. -2 Let x(u) = u**2 + 2*u - 1. Let i be x(-3). Suppose -3*g = -4*w + 10, -w - i*g - 8 = -4*w. Solve -3*m + 2 = -4*d - 10, 0 = -w*d + 2*m - 8 for d. 0
{ "pile_set_name": "DM Mathematics" }
156. What is the nearest to -1 in f, -0.5, -2/11? -0.5 Let q = -1.1 - -0.1. Suppose -228*c + 1500 - 107 = 25. What is the closest to q in 3, -3, c? -3 Suppose -263*i - 4 = -259*i. Which is the nearest to 0? (a) -0.11 (b) i (c) 0 (d) -1/64 c Let i = 1.71 - 10.47. Let x = i + 4.76. Which is the closest to 0.2? (a) x (b) 2/7 (c) -1 b Let z = 1.3 - 0.3. Let n = 10243/2 + -153643/30. Which is the closest to -4? (a) z (b) n (c) -0.3 c Let r = 4202 + -4235. Which is the closest to -1? (a) 2/11 (b) r (c) -0.8 c Let t be -3*((-6)/81)/2*3. Let k(r) = -r**2 - 16*r + 21. Let a be k(-17). What is the closest to a in -0.5, -3, t? t Let p = -0.5 - -1. Let j be -30 + (-5397)/(-105) - 21. What is the nearest to -17 in -1, j, p? -1 Let m = 17763 + -17762.6. What is the closest to -0.1 in -11/4, m, 2/3, -0.2? -0.2 Let k = 1.867 + 2.133. What is the nearest to 0 in 6/13, 2, k? 6/13 Let k = 0.1 - 0. Let w(z) = -3*z**3 + 20*z**2 - 24*z - 6. Let v be (-5*12/(-24))/(1/2). Let x be w(v). What is the nearest to k in -1/2, 7/4, x? -1/2 Let m(f) = -10*f**2 + 72*f - 292. Let g be m(4). What is the closest to -2/3 in g, 3/5, -1/2, 1/2? -1/2 Let w = -6 + 5.76. Let k = 3.93757 + 0.06243. Which is the nearest to w? (a) -3/8 (b) k (c) -2/17 c Suppose -22*t = 20*t - 11214. Let c = -2941/11 + t. What is the closest to -1 in 3/2, c, 0.1? c Let h(k) = k**3 + k**2 + 6*k + 8. Let j be h(-3). Let o = j - -33. Let t = 0.61 - 0.51. What is the nearest to t in 1/2, -2, o? 1/2 Let n be (123/105 - 1) + (-326)/(-815). What is the nearest to 1/2 in 0.73, n, 0.11? n Let w = 118 + -248. Let l = 129 + w. Which is the closest to l? (a) 2 (b) -7/3 (c) 0.2 c Suppose 5*v + 2 = 4*m, 5*m + 14 = -v - v. Let b be (-1)/2 - 2/(-8). Let z = -988953 + 988956. What is the closest to z in b, m, -3/2? b Let m = 38806 - 38805. What is the nearest to -0.3 in -0.1, 2, 3.8, m? -0.1 Suppose -4*i - 1 = -w, -2 = -0*w - 2*w. Let j = -1347.96 + 1348.06. What is the closest to i in -5, 2/19, -0.4, j? j Let f = 1.03 + -0.03. Let a = 444 + -625. Let r = -186 - a. What is the closest to f in 0.8, 0.2, r? 0.8 Let i be 50/(-5)*24/(-20). Suppose 10*g - 6*g = -i. What is the nearest to g in -0.4, -0.3, 4? -0.4 Let n = -0.5244 + 416.8244. Let z = -416 + n. What is the closest to -1/4 in 3, z, 0.2? 0.2 Let t = -19871 - -60308/3. Let y = -232 + t. What is the closest to y in 1, -1, 1/13? 1/13 Let f be (9 - 3)/12*44. Suppose 25*i + f + 53 = 0. Which is the closest to -2/3? (a) i (b) 10 (c) 0.1 c Let o = 5.8 - -1.2. Let h = -553 - -553.229. Let g = h + 3.771. What is the closest to o in g, -5, 0.2? g Suppose -24 = -0*q + 4*q. Suppose -243*j + 400 = 32 - 118. Which is the closest to q? (a) -2 (b) 1 (c) j a Let s = -0.3 + 0.2. Let t = -46228 + 46228.1. Let w = 0.7 + -10.7. Which is the closest to s? (a) t (b) w (c) 2/19 a Let r = -11.15 + 11.25. Which is the closest to r? (a) 5 (b) 1 (c) -2 (d) 2/9 d Let i = -5.81 - -1.81. Let a be (-1*4 - (-279)/31) + -6. What is the nearest to a in 2/7, -3, i? 2/7 Let b(c) be the third derivative of -c**4/24 - 2*c**3/3 - 19*c**2 - c. Let d be b(-2). What is the closest to d in 1, -4, -0.5? -0.5 Let p be 5/26*(-12)/(-15). Let v = -0.191 + 0.491. Suppose 4*x - 25 = -x. Which is the nearest to 2/7? (a) p (b) x (c) v c Let x = -95.8 - -96.8. Which is the closest to x? (a) -2/9 (b) 2/53 (c) -0.7 (d) 2 b Let u = -246.7 + 232. Let w = u - -15.2. Which is the closest to 1/3? (a) 0.2 (b) w (c) 0.3 c Let p = -0.0174 - -0.4104. Let m = 0.093 - p. Which is the nearest to -0.4? (a) m (b) -2/9 (c) 0.03 a Let w = -4 - -9. Let u = -41 + 40.6. Let i = 0.2114 - -0.1886. What is the nearest to 0.1 in w, u, i? i Let y = -1.25531 - 0.04469. What is the closest to 2/3 in -4, y, 0.08? 0.08 Let u = 2 + -2.1. Let o = -41786 + 41786. What is the closest to u in o, -3, 0.1? o Suppose 12*s - 13 = 167. Suppose -45*l + s = -42*l. Which is the nearest to 6? (a) 0.5 (b) -0.11 (c) l c Let b = -45.87 - 5.93. Let f = b - -52. Let l = 2 + -3. What is the closest to l in f, 0.3, -0.2? -0.2 Let h(n) = -n**2 + 5*n - 5. Let f be h(4). Let u = -5069 + 5069.3. What is the nearest to -0.1 in f, -5, u? u Let w = -2 + -2. Let d = 5846 + -5846.3. What is the nearest to -4 in w, d, 1/2? w Let s = 67/32 + -75/32. What is the closest to 0 in s, 32, 6? s Let n = -170.778 - -171. Let v = -0.122 + n. Which is the closest to v? (a) 0.023 (b) 5 (c) -5 a Let i = 791 + -793. Which is the nearest to 10? (a) -0.01 (b) 2/5 (c) i (d) -2/11 b Let q be ((-23)/(-30) + (-21)/35)/(7/(-14)). What is the closest to -1/14 in q, 11, 5? q Let k = -16.261 + -0.739. Which is the closest to 2/7? (a) 2/13 (b) -9 (c) k a Let d = -1573.6 + 1573.5. What is the nearest to -1 in d, 3, 6, -9? d Let g = 0.1926 + 0.2074. Let o = -49307/77649 - 12/1991. Let j = o + 30/13. Which is the nearest to 1/3? (a) j (b) 0.01 (c) g c Let x = 38.8 - 35. Let t = x + -0.8. Let z = -3.2395 + 3.0395. Which is the closest to -2? (a) t (b) 0 (c) z c Suppose 3*p = u - 10, -2*p + 66*u - 16 = 63*u. What is the closest to -1 in -5, p, 8, 0.4? p Let y = 1025.7 - 1027.7. What is the nearest to 2 in y, 0.4, -0.3, 2/321? 0.4 Let i be 2/7*14/6. What is the closest to -0.08 in -8/3, i, 3/2, 2/7? 2/7 Let n = 0.49 + -0.89. Let v(r) = -r**3 + 9*r**2 - 5*r + 4. Let w be v(8). Let f = -26 + w. Which is the closest to -2/9? (a) n (b) -4/5 (c) f a Let p = 43/18 + -14/9. Let m = -543802 + 543807. Which is the nearest to 2/9? (a) m (b) p (c) -2/3 (d) -2/7 d Let b be (-27)/(-15) + (-138)/60. What is the closest to b in -0.5, 3, -1.7, -0.4? -0.5 Let t = 15777 + -15776.5. Which is the closest to -3? (a) 3 (b) t (c) -3 (d) 1/61 c Let g = 6/83 - 279/415. Let f = -9.5 - -4.5. Let t be (2 + (-15)/6)/(-1). Which is the closest to g? (a) f (b) t (c) 4/5 b Let z = 4.662 - 5.162. What is the nearest to -82 in z, -3, 0.4? -3 Let q = -8 + 4. Let n(s) = -8*s**3 + s**2 - 5*s + 4. Let m be n(-4). Let y = m - 548. Which is the closest to 1? (a) q (b) y (c) 0.2 c Let m be (-6)/(-4) + -3 + (-3 - (2 - 5)). Which is the nearest to -1? (a) m (b) 0.1 (c) -37 a Let t = 315/176 + -403/176. Let n be 2 - (24/22 + 0). Which is the closest to t? (a) -1/3 (b) -3 (c) n a Let f = 3599 - 3576. Which is the closest to 7? (a) 3 (b) f (c) -5 a Suppose 4*j + 0*l - l - 87 = 0, 4*j - 3*l = 93. Suppose -j*v = -26*v - 55. What is the closest to 2/11 in -5, 1/3, v, -0.3? 1/3 Let u be (-126)/64 + (-14)/448. What is the nearest to -0.2 in 0.8, u, 3/74? 3/74 Let q = 87/4 + -22. Suppose 5*k + 3*t + 101 = 99, -2 = -3*k - 5*t. What is the closest to k in -4, -3, q? q Let f = -4131 + 4130.8. Which is the nearest to -0.1? (a) f (b) -0.02 (c) -13 (d) -0.5 b Let p = -3354.5 + 3354. What is the nearest to 0.1 in p, -0.59, -0.05? -0.05 Let l = -938 + 549. Let w = l + 384. What is the closest to 1/4 in -1/3, w, 5? -1/3 Let u = -3070/13 + 236. Let r = -5568 + 5567.5. Which is the nearest to 3? (a) r (b) u (c) 0 (d) 1 d Let h = 0.0798 + 0.0202. Which is the closest to h? (a) -0.1 (b) -128 (c) -2/11 a Let d = -92.3 - -72. Let b = d - -20.5. What is the closest to b in -5, -1/4, 2/3? -1/4 Suppose -15*u - 62*u + 7*u - 140 = 0. What is the nearest to 2/3 in -1/3, -5, 46, u? -1/3 Let q be (-1)/2 + 239/6. Let k(i) = -92*i + 53. Let s be k(1). Let o = s + q. Which is the closest to -0.04? (a) -0.1 (b) 3/5 (c) o a Let v(o) = o**2 - 57*o - 1257. Let f be v(-17). What is the nearest to f in 4, -14, 3? 3 Let z = 81 + -475. Let m = -396 - z. Which is the nearest to 1? (a) m (b) 0.1 (c) -17 b Let p(k) = -k**2 - 3*k + 55. Let m be p(6). Let x = 7.9 - 10.9. Let g = 0.7 + -1. Which is the nearest to x? (a) -1 (b) g (c) m a Let c be 28/15*-1 + 2. Let d be -3 + (-2 - (-8 + 18)). What is the nearest to -0.04 in -1, -5, c, d? c Let q = -0.01 + -4.99. Let u = -3.01 - -3. Let i = 5088.5 + -5085.5. Which is the nearest to -0.1? (a) q (b) u (c) i b Let p = -19737 - -19740. What is the closest to -9 in 1/2, -4, p, 2? -4 Let k = -7666/22997 - -1/68991. Suppose -4 - 11 = 3*u. What is the closest to -0.4 in u, k, -0.007? k Let i be ((10/2)/(-2670))/((-7)/1082). Let h = i + -1/267. Which is the closest to -0.1? (a) 12/11 (b) h (c) -0.4 c Let x = 76.97 + -72.97. Let n = -0.4 - -0.
{ "pile_set_name": "DM Mathematics" }
s the third derivative of -5*r**6 - 2*r**4 - 55*r**2 wrt r? -600*r**3 - 48*r What is the second derivative of 3906*j**2 + 68*j wrt j? 7812 Find the first derivative of -255*x - 481 wrt x. -255 What is the derivative of -2*o**4*r - 3*o**3*r**2 - o*r + 202*r**2 wrt o? -8*o**3*r - 9*o**2*r**2 - r What is the second derivative of -2*j**3*t*w - 1792*j**2*t**3*w - j**2*w - 69*j*t**3 + 36*j*w wrt j? -12*j*t*w - 3584*t**3*w - 2*w What is the second derivative of 3*j**2*o**2 + 85*j**2*o + 2*j**2*u**2 - j*o*u - 6*o**2*u**2 - 6*o**2 wrt j? 6*o**2 + 170*o + 4*u**2 Find the second derivative of 270*d**4*y + 2*d**4 - 12*d*y + 2*d + 1 wrt d. 3240*d**2*y + 24*d**2 Differentiate -20*c**2*m + 16317*c**2 + c*m - 22*m wrt m. -20*c**2 + c - 22 Find the third derivative of 70*b**6 - 21*b**5*g + 1228*b**2*g - 3*b**2 - 1 wrt b. 8400*b**3 - 1260*b**2*g Find the first derivative of -c*d*h**2 - 4*c*d + 37*c*h**2 - 31*d*h**2 + h**2 - 2 wrt d. -c*h**2 - 4*c - 31*h**2 Find the third derivative of -p**4 + 212*p**3 - 462*p**2 wrt p. -24*p + 1272 Differentiate g**3*t*x - 65*g**3*t + 2*g**3 - g*t*x**2 - 41*x**2 wrt t. g**3*x - 65*g**3 - g*x**2 Differentiate 5058*x*z**2 - 6653*x with respect to z. 10116*x*z Find the third derivative of j**3*o*r**2*w + 6*j**3*o*w + j**3*r**2 - 2*j**2*o*r**2*w - 5*j**2*o + j**2*r - 2*j*o*r*w + j*r**2*w wrt j. 6*o*r**2*w + 36*o*w + 6*r**2 What is the third derivative of 13*i*l**4*z**3 - 2*i*l**2*z**2 - 2*l**4 + 11*l**3*z**3 + l**2*z - 24*z**3 wrt l? 312*i*l*z**3 - 48*l + 66*z**3 Find the first derivative of 123*a**3*x**2 + 601*x**2 wrt a. 369*a**2*x**2 What is the third derivative of -1973*t**3 + 3*t**2 - 106 wrt t? -11838 Find the first derivative of -4*c**3*o*y**2 + c**3*o - 3*c**3*y**2 + 27*c**2*y**2 - 6*o*y**2 wrt o. -4*c**3*y**2 + c**3 - 6*y**2 Differentiate -4*z**4 + 113*z**3 + 2024. -16*z**3 + 339*z**2 Find the third derivative of -687*f**6*y - f**5*y**3 - 606*f**2 + 2*f*y**3 wrt f. -82440*f**3*y - 60*f**2*y**3 Differentiate 43*m**4*o**2 + 20*m**3*o**2 + 50*o**2 wrt m. 172*m**3*o**2 + 60*m**2*o**2 Differentiate -253*g*v + 749*g with respect to v. -253*g What is the second derivative of 2*d**3*f + 32*d**3 + 99*d*f wrt d? 12*d*f + 192*d What is the second derivative of -859*x**2 + 319*x? -1718 What is the first derivative of 2*d*u*y + 3*d*z - 3*u*z + 662*y*z + 6*z wrt y? 2*d*u + 662*z Find the second derivative of 5*a**5 - 62*a**4*f**2 - 10*a - 11*f**2 wrt a. 100*a**3 - 744*a**2*f**2 Find the third derivative of 24*b**3*h**3 - b**3*h**2 + 3*b**3 + b**2*h**2*p - 2*b*p + 6*h**3*p wrt h. 144*b**3 + 36*p What is the third derivative of 25*d**2*p**4*s - d**2*p*s**3 - 3*d*p**4*s**3 - p**2*s - 998*s**3 wrt p? 600*d**2*p*s - 72*d*p*s**3 Find the second derivative of 11200*u**3 + 23*u - 34. 67200*u Find the third derivative of 2*n**2*v**4 + 2*n**2*v**3 - 158*n**2*v - 4*n*v**4 - v**2 wrt v. 48*n**2*v + 12*n**2 - 96*n*v What is the derivative of p**4*y**2 + 412*p**2*y**3 + 289*y**3 + 2*y**2 wrt p? 4*p**3*y**2 + 824*p*y**3 What is the second derivative of 8*n**3 - n**2 - 2*n - 4? 48*n - 2 What is the second derivative of -50*a*y**2 - 2*a*y - 2*a + y**3 + 3*y**2 - 24*y wrt y? -100*a + 6*y + 6 Find the third derivative of 144*r**3*s**3 - r**3 - 104*r**2*s**3 + r**2*s**2 wrt r. 864*s**3 - 6 What is the third derivative of -7*g**6 + 4*g**5 + 3*g**3*x**2 + g**2*x**2 - 19*g**2 + g*x**2 wrt g? -840*g**3 + 240*g**2 + 18*x**2 What is the second derivative of -14*w**5 - 2*w**4 - 6*w + 6 wrt w? -280*w**3 - 24*w**2 Find the first derivative of 638*x**4 - 2151 wrt x. 2552*x**3 Differentiate -65*c**4*k + 2*c**2*k + 6*c**2 + 31*k - 81 wrt c. -260*c**3*k + 4*c*k + 12*c What is the first derivative of 3*a**3 + 73*a - 36 wrt a? 9*a**2 + 73 What is the first derivative of 71*m**3 - 174 wrt m? 213*m**2 Find the second derivative of 4578*k**4 - 2*k**2 - 15370*k wrt k. 54936*k**2 - 4 Find the third derivative of -13936*a**3*c**2 + 309*a**2 - a*c**2 + 7 wrt a. -83616*c**2 What is the second derivative of -227*h**3 - 97*h? -1362*h What is the first derivative of 49*y**3 - y + 353 wrt y? 147*y**2 - 1 Find the second derivative of -113*l**5*x + 2*l**4*x**2 - l*x**2 - 134*x wrt l. -2260*l**3*x + 24*l**2*x**2 What is the second derivative of 2*c*j**2*o + 4*c*j + 13*c + 67*j**2*o - j*o wrt j? 4*c*o + 134*o What is the third derivative of 290*k**6 - 2*k**4 + 3539*k**2 wrt k? 34800*k**3 - 48*k Find the third derivative of -99*o**3 + 10*o**2 - o. -594 Find the second derivative of -23*b**3*j*l**2*y - 2*b**3*j*l + 2*b**3*y**2 - b**2*j**2*l**2 - 2*b**2*j**2*l*y + 3*b**2*l**2*y**2 - j**2*y**2 wrt y. 4*b**3 + 6*b**2*l**2 - 2*j**2 What is the third derivative of -c*j**3*t**3 - 2*c*j*t**2*v - 3*c*j*t**2 - c*t**3 - j**3*t**2*v - 376*j**2*t**3*v + 2*j**2*t**2*v - 12*t*v wrt t? -6*c*j**3 - 6*c - 2256*j**2*v Find the second derivative of 40*k*u**4 - 594*k*u wrt u. 480*k*u**2 Find the first derivative of 420*l**4 - 2*l**3 - 6*l**2 + 6963. 1680*l**3 - 6*l**2 - 12*l What is the first derivative of 25*b**2*j**3 + 10*b**2 - 46*j*n + 7*n wrt j? 75*b**2*j**2 - 46*n What is the second derivative of -3*r**3 + 406*r**2 + 386*r - 2? -18*r + 812 What is the second derivative of -19*z**5 + 69*z**4 - 3898*z wrt z? -380*z**3 + 828*z**2 Differentiate 17*i**2*r - 363*i**2 + i*r**2 wrt r. 17*i**2 + 2*i*r Find the second derivative of 142*c**2 + 154*c + 1 wrt c. 284 What is the derivative of -7*g*q**2 - 3*g*q + 33*g + 3582*q**2 wrt g? -7*q**2 - 3*q + 33 Find the third derivative of -34*m*s**4 + 3*m*s**3 + 436*m*s**2 - s**2 wrt s. -816*m*s + 18*m Differentiate n**2*p + n**2 + 2*n*p - 13*n*x - 2026*p*x - 154*x wrt p. n**2 + 2*n - 2026*x Find the second derivative of 925*h**5 - 4*h**4 + 2*h**3 + 132*h + 110. 18500*h**3 - 48*h**2 + 12*h Find the second derivative of 2328*w**2*z**2 + w*z**2 + 19*w*z - 3*w - 8*z wrt w. 4656*z**2 Find the second derivative of 3345*r**2 - r + 1192 wrt r. 6690 What is the third derivative of -290*s**3*y - 7*s**2 - 18*y wrt s? -1740*y What is the second derivative of -6*k*m**4 - 2*k*m - 264*m**2 + 726*m wrt m? -72*k*m**2 - 528 What is the derivative of 97*p**3 - 2*p - 48? 291*p**2 - 2 Find the third derivative of -233*r**4 + 299*r**2. -5592*r Find the second derivative of 42*f**2*g**2*l*s + 2*f**2*g**2*l - 5*f**2*g*l*s - 3*f**2*g*s - 3*g**2*l*s - s wrt g. 84*f**2*l*s + 4*f**2*l - 6*l*s Find the third derivative of -86*y**6 + 14*y**5*z**2 + 2844*y**2*z**2 wrt y. -10320*y**3 + 840*y**2*z**2 What is the second derivative of 127*i**4 + 59*i + 2 wrt i? 1524*i**2 What is the second derivative of 28*b**5 + 6*b**2 + 6239*b? 560*b**3 + 12 Find the third derivative of -216*g**2*m**3 + 3*g**2*m**2 + 6*m**2 + 8 wrt m. -1296*g**2 What is the second derivative of 14*p**4 + 206*p**3 + p + 293? 168*p**2 + 1236*p Find the second derivative of -7256*d**2*k**2 + 7198*d*k**2 - d*k - d wrt d. -14512*k**2 What is the second derivative of 65*y**5 - 2*y**4 - 16*y**2 - 78*y - 17 wrt y? 1300*y**3 - 24*y**2 - 32 What is the third derivative of -o**5 + 917*o**4 - 3*o**3 - 14*o**2 + 27*o - 1? -60*o**2 + 22008*o - 18 What is the second derivative of 8*d**5 - 15*d**2 - 1250*d? 160*d**3 - 30 Find the third derivative of -879*b**6 + 2*b**5 - 19*b**2 - 7*b wrt b. -105480*b**3 + 120*b**2 Find the third derivative of -z**5 + 1988*z**4 + 10*z**2 + 521*z. -60*z**2 + 47712*z What is the second derivative of -2*b**5*m + 13*b**3 + 4*b**2*m + 1777*b*m - b wrt b? -40*b**3*m + 78*b + 8*m Find the second derivative of 3164*r**2 - 3843*r wrt r. 6328 What is the third derivative of -3*w**4*x**3 + 29*w**3*x**3 + 1547*w**2*x**3 wrt w? -72*w*x**3 + 174*x**3 What is the third derivative of -11*d*j**3*r**3 - 3*d*j + 2*d - 14*j**3*r**3 - 19*j**2*r + 2*r**3 wrt j? -66*d*r**3 - 84*r**3 Find the second derivative of 4*s**5 - 51*s**2 + s + 12347. 80*s**3 - 102 Find the second derivative of 77*q**2*t**2*z**2 - q**2*t*z**2 - 2*q*t**2*z**2 - q*t**2 - t**2*z**2 wrt q. 154*t**2*z**2 - 2*t*z**2 What is the third derivative of 23*s**5*z + s**3*z - 28*s**3 + 1859*s**2 - s*z wrt s? 1380*s**2*z + 6*z - 168 Differentiate -94*f + 220. -94 What is the derivative of 11397*d + 10727? 11397 Find the first derivative of 6770*s - 6752 wrt s. 6770 What is the derivative of 3209*d**2 - 2*d - 5592 wrt d? 6418*d - 2 What is the first derivative of 2*i**2*m**2 - 2
{ "pile_set_name": "DM Mathematics" }
t v(l) be the third derivative of 361*l**7/420 + 19*l**6/6 + 73*l**5/20 + 5*l**4/6 + l**3/12 - 375*l**2 - 1. Factor v(g). (g + 1)**2*(19*g + 1)**2/2 What is i in 18 + i**2 + 122 - 48 + 27*i = 0? -23, -4 Let j be -5 + -16*10/(-20). Let c be (-50)/(-225)*j/3. Determine x so that -2/3*x**3 + c*x**2 - 4/9 + 2/3*x + 2/9*x**4 = 0. -1, 1, 2 Let i(w) be the second derivative of -w**7/630 + 11*w**6/180 - w**5/3 - 17*w**4/12 - 36*w. Let v(j) be the third derivative of i(j). What is d in v(d) = 0? 1, 10 Suppose 0 = -2*r + 8, -3*n = 2*r + 176 - 193. Let f(k) be the first derivative of 5/16*k**4 - 1 + 5/4*k**n + 0*k**2 - 5*k. What is z in f(z) = 0? -2, 1 Let s = -120727 - -120731. Factor 1/2*c**s + c - 1/2*c**2 + 0 - c**3. c*(c - 2)*(c - 1)*(c + 1)/2 Let d = 21 + -21. Suppose c - 1 = 2*n - d*c, n - 17 = -3*c. Find j such that 7*j**2 + j + 3*j - n*j**2 - j**2 = 0. -1, 0 Find i such that 32*i - 120*i**2 + 15050336 - 144*i**3 - 38*i**4 - 15050336 = 0. -2, 0, 4/19 Let n be (-77)/(-5775) + (-1314)/(-2700). Suppose -2/3*f + n*f**2 + 0 + 1/6*f**3 = 0. What is f? -4, 0, 1 Find q, given that 746/17*q**3 + 0 - 8/17*q - 698/17*q**4 + 192/17*q**5 - 232/17*q**2 = 0. -1/32, 0, 2/3, 1, 2 Solve -1979*y + 1101*y**3 + 259*y**4 - 709*y + 1186*y**2 + 938*y**2 - 247*y**4 - 1072 + 523*y**3 = 0. -134, -2, -1/3, 1 Determine v, given that -33*v**4 - 388*v**2 + 38*v**4 - 1200*v + 1584 - v**4 = 0. -6, 1, 11 Let b(t) be the second derivative of -5/12*t**4 + 0*t**3 + 0 + 0*t**2 + 61*t. Factor b(g). -5*g**2 Let p(g) be the third derivative of -g**5/20 + 265*g**4/8 - 263*g**3 + 2*g**2 + 721. Factor p(k). -3*(k - 263)*(k - 2) Suppose -5*g + 199 = -2*a, -g - 2*g = 4*a + 463. Let x be 315/a*(-13)/((-195)/(-20)). Find h, given that -x*h**2 + 5/4*h**4 + 5/2 + 5/4*h**3 - 5/4*h = 0. -2, -1, 1 Let c(m) be the third derivative of 221*m**6/960 + 11*m**5/12 + 217*m**4/192 - m**3/24 + 9*m**2 - 12*m. Suppose c(r) = 0. What is r? -1, 2/221 Suppose -c + c**3 - 936536 + 936558 - 28*c**2 + 6*c**2 = 0. What is c? -1, 1, 22 Let o = 4193/9 - 20749/45. Find d such that -d**2 - o - 62/5*d = 0. -12, -2/5 Suppose 18*b = 25*b + 70. Let k be 1/b - ((-45)/(-10) - 5). Factor -8/5*s + k*s**2 + 8/5. 2*(s - 2)**2/5 Let c(t) = -10*t**4 - 340*t**3 + 25*t**2 + 1085*t + 740. Let s(a) = a**4 - 4*a**3 - 2*a**2 + a - 4. Let v(u) = -c(u) - 5*s(u). Let v(l) = 0. What is l? -72, -1, 2 Let x(p) be the first derivative of -p**6/54 + 2*p**5/15 + 5*p**4/12 + 8*p**3/27 - 5251. Suppose x(n) = 0. Calculate n. -1, 0, 8 Suppose -30 = -6*d - 0*d. Suppose -3*o - 2*l + 58 = o, -d*l = -2*o - 1. Factor -8 - 12*j**2 - 2*j + o*j - 21*j - 9*j + 4*j**3 + 4*j**4. 4*(j - 2)*(j + 1)**3 Let r(p) be the first derivative of p**3/5 - 51*p**2/5 - 456*p/5 - 611. Find d, given that r(d) = 0. -4, 38 Let n(v) = -2*v**2 + 22*v - 57. Let c be n(5). Let l(x) be the second derivative of 0 + 12*x - 1/60*x**4 - 1/6*x**c - 3/5*x**2. Factor l(w). -(w + 2)*(w + 3)/5 Let x = 14 + 0. Suppose -2*g = 3*a - 16, 4*a + 2*g = 2*a + x. What is z in z + z**4 - 30*z**2 + 14*z**2 + 2 + 13*z**a - z**3 = 0? -1, 1, 2 Let c be (4/72*15)/((-200)/(-32)*4). Let p(z) be the third derivative of 0*z - c*z**5 + 1/6*z**4 - 1/3*z**3 + 0 + 17*z**2. Let p(l) = 0. What is l? 1 Let i(n) be the second derivative of n**7/7560 + n**6/360 - 5*n**4 + 26*n - 1. Let x(g) be the third derivative of i(g). Find t such that x(t) = 0. -6, 0 Let k(c) be the third derivative of c**6/240 - 21*c**5/20 + 80*c**4 + 2048*c**3/3 - 1962*c**2. Factor k(l). (l - 64)**2*(l + 2)/2 Let f(g) be the first derivative of 5*g**4/12 + 25*g**3/6 + 15*g**2 - 65*g + 68. Let h(i) be the first derivative of f(i). Suppose h(y) = 0. Calculate y. -3, -2 Let v be (1562/55)/(2611/1865). Factor -v*q + 2/7*q**3 - 68/7*q**2 - 72/7. 2*(q - 36)*(q + 1)**2/7 Suppose -k = 2*d - 7, -2*d + 6*k + 19 = 3*k. Factor 73*t**2 + 12*t**3 - 2250 + 10*t**5 - 18*t**4 - 12*t**d + 307*t**2 + 150*t. -2*(t - 3)**2*(t + 5)**3 Let d(h) be the second derivative of 14/45*h**6 - 13*h + 0*h**2 + 8 + 14/3*h**4 - 61/30*h**5 - 4*h**3 - 1/63*h**7. Factor d(m). -2*m*(m - 6)**2*(m - 1)**2/3 Let i be 1/((-12)/(-16)*(-4)/(-6)). Suppose -n + i*o + 10 + 6 = 0, 68 = 2*n + 5*o. Factor l**3 + 24*l - 7*l + 4*l**4 - 5*l**3 - 28*l**2 + 35*l - n. 4*(l - 2)*(l - 1)**2*(l + 3) Factor -2730*n - 1/4*n**5 + 900 + 123/4*n**4 + 11161/4*n**2 - 3963/4*n**3. -(n - 60)**2*(n - 1)**3/4 Let w(x) be the second derivative of x**4/4 - 4013*x**3 + 48312507*x**2/2 - 13953*x. Factor w(s). 3*(s - 4013)**2 Suppose 18*t + 24 = 8*s + 14*t, 0 = -4*s + 4*t + 16. Let l(c) be the first derivative of -1/8*c**4 + 1/4*c**2 + s*c - 2/3*c**3 + 21. What is r in l(r) = 0? -4, -1, 1 Factor -3634/5*h - 728*h**2 - 908/5 - 8/5*h**3. -2*(h + 454)*(2*h + 1)**2/5 Let f(h) = -45*h**3 - 7635*h**2 - 50*h + 25. Let p(i) = 11*i**3 + 1909*i**2 + 12*i - 6. Let q(j) = 6*f(j) + 25*p(j). Factor q(u). 5*u**2*(u + 383) Let c(l) be the first derivative of l**7/63 + l**6/45 - 85*l + 73. Let u(r) be the first derivative of c(r). Factor u(y). 2*y**4*(y + 1)/3 Let s(q) be the first derivative of 3*q**4/4 - 232*q**3 + 20184*q**2 - 1657. Factor s(r). 3*r*(r - 116)**2 Find a, given that a**4 - 139*a**2 + 6700*a + 35*a**5 - 2155 - 1041*a**2 + 2859*a**4 - 6735*a**3 + 475 = 0. -84, -1, 2/7, 1, 2 Let u be (-1)/8 - 1387/(-152). Suppose -24 = -u*y + 3. Factor 2*r + r**y + 2*r**4 + 2*r**2 + 2*r**3 + 4*r**2 + 3*r**3. 2*r*(r + 1)**3 Let d(w) be the first derivative of w**4/18 - 7*w**3/3 - 22*w**2/3 + 34*w + 2. Let t(s) be the first derivative of d(s). Factor t(b). 2*(b - 22)*(b + 1)/3 Let d be 2*3 + 11/((-44)/12). Factor -2*t**5 + 152*t**d - 12*t**2 - 40*t**4 - 190*t**3 - 12*t**5. -2*t**2*(t + 1)**2*(7*t + 6) Let i(z) be the third derivative of z**6/240 + z**5/40 - z**4/12 - 388*z**2. Factor i(y). y*(y - 1)*(y + 4)/2 Let k(y) = -16*y**2 + 239*y - 861. Let u(r) = 18*r**2 - 238*r + 872. Let v(c) = -20*k(c) - 18*u(c). What is m in v(m) = 0? -127, 3 Suppose -y - 8*v - 14 = -4*y, -5*v = 5*y - 5. Factor 6*u - 1/3*u**y - 27. -(u - 9)**2/3 Let o(p) be the second derivative of p**7/945 + p**6/540 - 8*p**5/135 + 5*p**4/27 + 103*p**2 - 220*p. Let l(j) be the first derivative of o(j). Factor l(d). 2*d*(d - 2)**2*(d + 5)/9 Let c = 93008 + -651052/7. Factor -c*t**3 - 16/7*t**2 - 20/7*t - 8/7. -4*(t + 1)**2*(t + 2)/7 Let b(o) be the second derivative of 64*o**5/5 - 271*o**4/6 + 158*o**3/3 - 15*o**2 + 3*o + 3060. Factor b(y). 2*(y - 1)**2*(128*y - 15) Let w = -10046 - -10046. Let f(i) be the second derivative of 0 + 11/40*i**5 + w*i**2 + 11*i + 1/3*i**3 + 7/12*i**4 + 1/24*i**6. Factor f(u). u*(u + 2)**2*(5*u + 2)/4 Let y(n) be the third derivative of 5*n + 2*n**2 - 1/15*n**5 - 1/3*n**4 + 0 + 10*n**3. Find l such that y(l) = 0. -5, 3 Find h such that 136/11 - 8/11*h**2 + 2/11*h = 0. -4, 17/4 Let y = -2906 - -29063/10. Let g(v) be the third derivative of -7*v**2 - y*v**5 + 0 - 1/10*v**6 - 1/2*v**4 - 1/2*v**3 + 0*v - 1/70*v**7. Factor g(b). -3*(b + 1)**4 What is o in -1/6*o**2 - 244 - 191/6*o = 0? -183, -8 Let q(v) = 2*v**2 + 198*v - 200. Let n(w) be the third derivative of w**5/12 + 595*w**4/24 - 100*w**3 - 12*w**2 - 8*w. Let m(z) = 6*n(z) - 17*q(z). Factor m(g). -4*(g - 50)*(g - 1) Let h(z) be the third derivative of z**5/300 + 241*z**4/60 + 108*z**2 - 7. Factor h(j). j*(j + 482)/5 Let h(i) be the first derivative of -5*i**9/1728 + 3*i**8/448 - i**7/336 + i**3/3 - 25*i**2 - 167. Let n(p) be the third derivative of h(p). Factor n(s). -5*s**3*(s - 1)*(7*s - 2)/4 Let k(g) = -g**3 - 3*g**2 + 2. Let o(p) = p**4 + 102*p**3 + 2310*p**2 + 22385*p + 77176. Let w(x) = 44*k(x) + 4*o(x). Determine h, given that w(h) = 0. -58, -11 Let s(v) be the first derivative of -4*v + 2 + 0*v**4 + 1/4*v**3 - 3/40*v**5 + 1/40*v**6 - 3/8*v**2. Let i(y) be the first derivative of s(y). Factor i(t). 3*(t - 1)**3*(t + 1)/4 Suppose -123 = -27*q + 66. Suppose 0 = -5*u + q*u - 4. Determine x so that -1/7*x**u + 0*x + 0 + 1/7*x**3 = 0. 0, 1 Let a(t) = -6*t**4 - 166*t**3 + 997*t**2 - 2123*t + 1429. Let r(i) = -2*i**4 - 56*i**3 + 332*i**2 - 708*i + 476. Let d(y) = 8*a(y) - 22*r(y). Factor d(s). -4*(s - 2)**3*(s + 30) Suppose -4*u - 4*w = -24, 0 = -4*u - 3*w + 17 + 4. Suppose 4*m - 29 = u*q - 8*q, 0 = -2*m - 8. Factor -4*v - v**2 - 5 + 10 - q. -(v + 2)**2 Let l = -518 + 518. Suppose l = -30*w + 34
{ "pile_set_name": "DM Mathematics" }
x**3 + x**2 - x + 1. Let i be (8/(-14))/(6/(-21)). Let n be s(i). Calculate the highest common factor of n and 209. 19 Suppose -6392 - 10660 = -12*s. What is the greatest common factor of 29 and s? 29 Suppose -2*v = -w - 2, 5*w - 3*v - 11 = -0*v. Suppose -k = w, -5*f + 6*f - 42 = 4*k. What is the highest common divisor of 78 and f? 26 Let o(j) = -2*j**2 + 28*j + 11. Let p be o(14). Suppose -5*k - 78 = -p*k. What is the greatest common divisor of 26 and k? 13 Let h be 33/22*(-3)/((-6)/8). Suppose -h*m - 2 = -2*i - 2*m, -i = m - 16. Calculate the greatest common divisor of 11 and i. 11 Suppose 244 = l + 2*q, 0*q = l + q - 239. What is the highest common divisor of l and 52? 26 Let v = -18 + 19. Let l be (v + 9)*(-132)/(-15). What is the highest common divisor of 11 and l? 11 Let j = 18 - -3. Let n = -9 + j. Suppose f - 6*f - 38 = -p, -5*p + 238 = -f. What is the greatest common divisor of n and p? 12 Suppose -7*f + 304 = -200. What is the highest common divisor of f and 252? 36 Suppose 23*y - 6220 = -355. Calculate the greatest common factor of y and 30. 15 Let w = -25 + 18. Let d = w + 13. Suppose 115 = d*p + 25. What is the highest common factor of 45 and p? 15 Suppose 18 = q - 3*n - 2*n, 5*q + 5*n = 0. Suppose -5*t - 2*i + 69 = 0, q*t - t + 2*i = 24. Calculate the highest common divisor of t and 60. 15 Suppose 23 = 5*j - 2. Let r(v) = -v**3 + 6*v**2 - 2*v - 5. Let n be r(j). Calculate the highest common factor of 5 and n. 5 Suppose 5*o = 2*o + 753. Suppose 0 = 2*i - 1 - o. What is the greatest common factor of 18 and i? 18 Suppose -21*i = -17*i - 100. Let v be (-4)/14 + (-877)/(-7). Calculate the greatest common divisor of i and v. 25 Suppose 3*a = a + 84. Let u(b) = b**3 - 12*b**2 + 16*b - 57. Let x be u(11). Let y be (-45)/x*(96/9 + -6). What is the highest common divisor of y and a? 21 Let f(k) = k**2 - 10*k - 9. Let x(c) = -c**2 + 10*c + 8. Let s(t) = 4*f(t) + 3*x(t). Let d be s(13). What is the greatest common factor of d and 9? 9 Suppose q = 3*q + 4*p + 8, 0 = 5*q + 5*p. Suppose q*v - 320 = -0*v. What is the highest common divisor of 16 and v? 16 Let y be ((2/6)/((-28)/336))/((-4)/13). Let a = 65 - 104. Let d be (1 + -9)*a/6. What is the highest common factor of d and y? 13 Let m be (-9)/1*(22 - 12 - 11). Calculate the greatest common divisor of 1737 and m. 9 Suppose i = 4*i + 3, 4*r + 4*i - 44 = 0. What is the highest common factor of r and 276? 12 Let f = -229 + 154. Let s = f - -86. What is the highest common factor of s and 88? 11 Let l = -15 + -4. Let u be 0 - l - (8 + 1 + -7). Calculate the greatest common factor of u and 17. 17 Let q(v) = -5*v**3 - 3*v**2 - 6*v - 7. Let i = 10 + -12. Let k be q(i). Calculate the greatest common divisor of k and 231. 33 Let a = -10387 - -10408. Let n be (3/2)/((-6)/(-56)). What is the highest common factor of a and n? 7 Suppose -5*k + 5*f + 4817 = 1137, -4*k + 3*f + 2944 = 0. Calculate the greatest common divisor of 23 and k. 23 Suppose 5*x + 37 = 4*h, 2 + 6 = -4*h - 4*x. Let w = -49 - -85. What is the highest common factor of h and w? 3 Let h be 7/3*((-6)/(-6) - -2). Calculate the highest common divisor of 63 and h. 7 Let q(v) = v**3 + 6*v**2 - 5*v. Let m be q(-5). Suppose 5*k - 11 - 34 = 0. Suppose -27*g = -k*g - 360. Calculate the highest common factor of m and g. 10 Let s(b) = -b**3 + 3*b**2 + 6*b - 8. Let r be s(4). Suppose r*u = 4*u - 156. Calculate the greatest common factor of 13 and u. 13 Suppose -4*d - 63 = m, -d = -4*m + m + 6. Let p = 4 + d. Let j = p + 15. What is the highest common divisor of 12 and j? 4 Let o be ((-26)/8 + 1)*(-32)/6. Let y be (-220)/(-7) - o/(-21). What is the greatest common factor of y and 128? 32 Let s(u) = -u**2 - 2*u + 2. Let r be s(-5). Let d = -3 - r. Suppose 6*g = 5*g + d. Calculate the greatest common factor of 10 and g. 10 Let f be (-3 - (-5 - -3))*0. Suppose -4*r + f*r - 72 = 0. Let v be (-662)/(-12) + 3/r. Calculate the greatest common factor of 11 and v. 11 Let i(p) = 3*p - 1. Let q be i(1). Let m(r) = 13*r - r**q - 2*r + 4*r**2 + 18 - 2*r**2. Let n be m(13). What is the highest common factor of n and 30? 30 Let o be 5*-3*(-2944)/120. What is the greatest common divisor of 16 and o? 16 Suppose 4*b - 3*w = 120, 2*w + 98 = 4*b - 18. Calculate the highest common divisor of 387 and b. 9 Let u be (0/2)/(-1) + 1 - -77. What is the greatest common factor of 130 and u? 26 Let h be 1/(-4) + (-360)/(-32). Let z = h - 8. Suppose 52 + 155 = z*r. What is the highest common factor of 46 and r? 23 Let z = -912 + 1032. What is the highest common factor of z and 60? 60 Let f be (288/6)/((-2)/(-15)). Suppose 1362 - f = 3*t. Let a = 488 - t. Calculate the highest common divisor of a and 22. 22 Suppose 2*a + 55 = 3. Let l = 31 + a. Calculate the greatest common factor of l and 5. 5 Let a = 19 - -3. Suppose 2*s - a = s. Let d(t) = 2*t + 29. Let j be d(-9). What is the greatest common divisor of s and j? 11 Suppose -18928 = -54*c - 4186. What is the greatest common divisor of c and 13? 13 Let p = 161 - -253. What is the highest common factor of p and 36? 18 Let n = 16 + -11. Suppose n*h - 12 = h. Let o be -2 - -4 - (0 + -1). Calculate the highest common factor of o and h. 3 Suppose 15*a = 11*a - 8. Let u be (204/(-36))/(a/6). Calculate the highest common divisor of 119 and u. 17 Suppose y + 9 = 34. Suppose -110 = -y*i + 20*i. Calculate the highest common factor of i and 132. 22 Suppose -235*z + 512 = -231*z. Calculate the greatest common factor of z and 8. 8 Let x = -675 + 696. Calculate the greatest common factor of x and 189. 21 Let r be ((-15)/20)/(1/(-4)). Let h be (-2)/(3*r/36). Let b be (-1 + (-76)/h)*2. What is the greatest common divisor of b and 34? 17 Suppose -3 = q, 5*f + 72 = f + 4*q. Let a = f - -23. What is the highest common factor of a and 26? 2 Let z(w) = w**3 + w**2 + 5*w + 437. Let d be z(0). What is the highest common factor of 19 and d? 19 Let l = -221 + 256. Calculate the greatest common divisor of l and 14. 7 Suppose 2*x + 0*x = 216. Suppose -4*a = -2*y + 182, -5*y - 4*a = -0*y - 441. Suppose -46 = -5*t + y. Calculate the highest common divisor of x and t. 27 Suppose q + q = 3*m - 857, 428 = -q + 2*m. Let o = -190 - q. Calculate the highest common divisor of 30 and o. 30 Let l = 519 - 279. Calculate the greatest common factor of 504 and l. 24 Let s = -3434 - -3438. Let c(m) = -m**3 + m**2 + m + 44. Let v be c(0). Calculate the greatest common factor of s and v. 4 Suppose -3*c = 9, 3*c + 1053 = 5*m - 3*m. What is the highest common divisor of m and 36? 18 Let d be 345/9*(2 + 25/(-5)). Let y = d - -142. Calculate the highest common factor of y and 3. 3 Suppose 200 = 7*i - 2*i. What is the highest common factor of i and 110? 10 Suppose -219 = -2*m + 5*k, -55 = m - 5*k - 162. Suppose 4*r + 110 = 4*h + 3*r, -2*r = -4*h + m. Calculate the greatest common divisor of 108 and h. 27 Suppose 2*p + 3*y + 27 = 0, -4*y + 14 = -4*p - 10. Let j = 31 + p. What is the greatest common divisor of j and 2? 2 Let q = 54 - 40. Let v be (0/1)/((-18)/9). Let s(x) = x**3 - x**2 + x + 14. Let c be s(v). What is the greatest common divisor of q and c? 14 Suppose -3*a + 4*o + 544 = 0, 3*o - 8*o - 20 = 0. Calculate the greatest common factor of 22 and a. 22 Let a = -1081 - -1094. What is the greatest common factor of 559 and a? 13 Let u = 97 + 19. What is the greatest common factor of u and 29? 29 Let q be ((-21)/(-12))/(13/208). What is the highest common divisor of q and 308? 28 Let k = 54 + -26. What is the greatest common factor of k and 56? 28 Suppose g - 4*g - 4*o - 13 = 0, 0 = -3*o - 12. Let d = 2 + 0. Calculate the greatest common factor of d and g. 1 Let z = 26 - 14. Suppose z*q - 11*q = 38. Calculate the greatest common factor of 57 and q. 19 Let b be 10/4*440/5. Suppose -4*c = -3*c - 20. What is the highest common divisor of b and c? 20 Let g(h) = 9*h**2 + 2*h**3 + 4*h**3 - 1 - 6*h**2 - 8*h**3. Let v be g(-3). What is the greatest common divisor of v and 48? 16 Suppose j + 3*j = -2*a + 768, -2*j + 758 = 2*a. What is the highest common factor of 221 and a? 17 Let i = 818 + -427. What is the highest common divisor of 23 and i? 23 Suppose 18*q + 1196 = 3446. Calculate the greatest common divisor of q and 10. 5 Let j(z) = -18*z + 85. Let l be j(-13). Calculate the grea
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 71 is divided by s. 17 Suppose -3*j + 21*w = 16*w - 49, -w = 5. Calculate the remainder when 30 is divided by j. 6 Suppose -8*m = -3*m - 235. Suppose 3 - m = -2*h. Let x(g) = -g**3 + g**2 - 3*g + 62. What is the remainder when x(0) is divided by h? 18 Let m = 25 - 20. Suppose -11*r = -m*r - 24. What is the remainder when ((-5)/r)/((-13)/884) is divided by 22? 19 Let x(y) be the second derivative of -y**5/20 + y**4/12 + 5*y**3/3 + 4*y. Calculate the remainder when 35 is divided by x(3). 11 Suppose 12 = -3*l + 33. Suppose l*d = 341 + 30. What is the remainder when d is divided by 9? 8 Let o(l) = 4*l**2 + 18*l + 41. What is the remainder when o(-8) is divided by 52? 49 Suppose 5*n = -76*r + 79*r - 305, r - 4*n - 111 = 0. Suppose 3*q + 35 = 83. What is the remainder when r is divided by q? 15 Suppose -r = 9 - 10. Let f be ((-7)/(-21))/(r/6). Let a(c) = 5*c**2 - 3*c. Calculate the remainder when 26 is divided by a(f). 12 Let u be 66 + 6/(1 - -2). Suppose -2*x - 3*d = -3*x + 2, 0 = -4*x - 3*d + u. What is the remainder when x is divided by 4? 2 Suppose 9*r - 126 = 2*r. Calculate the remainder when 30 is divided by (0 - 33)*(-6)/r. 8 Let m(a) = -2*a**2 + 10*a - 6. Let w be m(6). Let r = 24 + w. Suppose -4*f - 5*i + 18 = 0, -5*i + 3 + 3 = -2*f. What is the remainder when r is divided by f? 0 Let i = -264 + 133. Let o = -70 - i. Suppose 3*u - 96 = -0*u. Calculate the remainder when o is divided by u. 29 What is the remainder when 14/28*12*9 is divided by 15 - ((-6)/(-4))/(3/8)? 10 Let d(h) = -6*h + 3. Let l be d(-9). Suppose l = -3*m + 5*c, -2*m = -4*m + 5*c - 43. Let z = 23 + m. Calculate the remainder when 34 is divided by z. 7 Let u = 1225 - 1203. Calculate the remainder when 590 is divided by u. 18 Suppose 60 + 43 = j. Suppose c - 3*m = -4*c + 350, -4*c = 5*m - 243. Let z = c + -41. What is the remainder when j is divided by z? 25 Suppose t - f = 3, 14*f + 15 = 3*t + 13*f. Calculate the remainder when 89 is divided by t. 5 Let p(d) = -82*d + 18. What is the remainder when p(-3) is divided by 30? 24 Let i be (-13 - 1)*1/6*-39. Let z = i - 74. Let a(f) = 7*f**2 + f + 2. Calculate the remainder when a(2) is divided by z. 15 Let t be 2/7 + 614/7. Let w = -59 + t. Let q = -1618 - -1702. Calculate the remainder when q is divided by w. 26 Suppose 8*m + 5*q - 226 = 0, 104 = 4*m - 0*m - 2*q. What is the remainder when (-1904)/(-18) + (-10)/(-45) is divided by m? 25 Let i(z) = -2*z - 23. Let x be i(-13). Suppose x*y = -4 + 37. Let u(b) = 10*b + 2. What is the remainder when u(5) is divided by y? 8 Let j(n) = 2*n**2 + 20*n + 97. Calculate the remainder when j(-15) is divided by 21. 16 Suppose 21*q + 296 = 1535. What is the remainder when 230 is divided by q? 53 What is the remainder when (-1 - 0/(-3))/((-4)/44) is divided by 7? 4 Calculate the remainder when (-2)/(-9) - 8743/(-63) is divided by 14. 13 Calculate the remainder when (-32)/(-40) + (-10755)/(-25) + -4 is divided by 39. 37 Let i = 88 + -36. What is the remainder when i is divided by 18? 16 Suppose h = 4*x - 0*h - 152, 168 = 4*x + 3*h. What is the remainder when x is divided by 20? 19 Suppose -273*s + 2523 = -244*s. What is the remainder when s is divided by 37? 13 Let s(b) = -8*b**3 - b**2 - 9*b + 1. Calculate the remainder when s(-3) is divided by 12. 7 Let s = -40 - -44. Suppose -s*u = -13 - 23. Calculate the remainder when 69 is divided by u. 6 Let w(h) = h**3 + 6*h**2 + 3*h + 1. What is the remainder when (-246)/(-12) - (0 + 3/(-6)) is divided by w(-5)? 10 Suppose -5*v - 2*c = c - 2074, 0 = 3*c + 6. What is the remainder when v is divided by 22? 20 Suppose -74*c + 3304 = -18*c. Calculate the remainder when c is divided by 29. 1 Let x(v) = 4*v + 4. Let t(k) = -1. Let a(f) = 5*t(f) - x(f). Suppose -34*l + 3562 = 1114. Calculate the remainder when l is divided by a(-6). 12 Suppose d - 163 = 5*k, d - 143 = -k + 2*k. Calculate the remainder when d is divided by 70. 68 Suppose -2*u = -4*x + 50, -27 + 7 = -3*x - 2*u. Calculate the remainder when 139 is divided by x. 9 Let y = 22 + -19. Let b = -809 - -828. Calculate the remainder when b is divided by y. 1 Suppose -z + 3 + 85 = 0. Suppose 0 = 7*n - z + 25. What is the remainder when 33 is divided by n? 6 Let d(c) = -2*c**3 + 42*c**2 + 4*c - 10. Calculate the remainder when d(21) is divided by 2. 0 Let y(h) = -36*h + 37. Calculate the remainder when y(-8) is divided by 158. 9 Suppose w - 5 = -2*d - 4, 5*w = -d + 32. Let i(z) = 12*z - 95. What is the remainder when i(10) is divided by w? 4 Let m(o) = -o**2 + 5*o + 8. What is the remainder when 11/22 - 5/(-2) is divided by m(6)? 1 Let p = -1593 - -1613. Suppose 0 = 4*q - 356 + 48. Calculate the remainder when q is divided by p. 17 Let t(l) = 2*l - 8. Let o be t(9). Suppose 0 = 2*h - o*h + 128. Calculate the remainder when 74 is divided by h. 10 Let m = 560 - 523. What is the remainder when 50 is divided by m? 13 Calculate the remainder when 84 is divided by 2/(153/(-27) + 6). 0 Let t(m) = -7*m**3 + 49*m**2 + 9*m - 13. Calculate the remainder when 397 is divided by t(7). 47 Suppose 13*k + 444 - 1133 = 0. Calculate the remainder when k is divided by 27. 26 Let j = 339 + -313. Calculate the remainder when 57 is divided by j. 5 Let x = -2 + 2. Suppose t + x - 3 = 0. Suppose 375 = 19*q - 474 + 716. Calculate the remainder when q is divided by t. 1 Let o(x) = -x**2 + 9*x - 1. Let b be o(7). Suppose 0 = k - 5*s + 2*s - b, 2*k - 2*s - 26 = 0. Calculate the remainder when 24 is divided by k. 11 Let p = -30 + 42. Calculate the remainder when -3*44*10/(-20) is divided by ((-34)/6)/((-4)/p). 15 Let b be (60/(-25))/(1/(-35)). Let a = -56 + b. Calculate the remainder when a is divided by 15. 13 What is the remainder when (-8)/20 - (-4191)/15 is divided by 94? 91 Suppose -1346 = -3*z - 4*s, -s + 176 - 1088 = -2*z. Suppose 0 = 2*v + v - 51. What is the remainder when (-6)/14 - z/(-14) is divided by v? 15 Suppose 3*t = 3*n + 705, -3*t - n + 333 + 380 = 0. What is the remainder when t is divided by 48? 45 Let g(i) = -2*i**2 - 16*i + 13. What is the remainder when g(-6) is divided by 31? 6 Suppose 9*l = -113 + 212. Let x(i) = i**2 - i - 5. Calculate the remainder when x(-6) is divided by l. 4 Let t = -102 - -104. Let d = t + 21. Calculate the remainder when 299/7 - 10/(-35) is divided by d. 20 Let b(n) = -2*n + 44. Calculate the remainder when b(-21) is divided by 26. 8 Suppose -2*s - 19*h + 24*h + 442 = 0, 2*s + 4*h - 460 = 0. What is the remainder when s is divided by 4? 2 Suppose -5*g = 2*d + 2*d - 36, 12 = 4*g - d. Suppose -6*r = -8*r + 6. Suppose -r*k = k - 20. What is the remainder when k is divided by g? 1 Let q = 29 - 65. Let a = 73 + q. Calculate the remainder when a is divided by 10. 7 Calculate the remainder when 65 is divided by -7 + (-192)/(-8) + -1 + -2. 9 What is the remainder when 487 is divided by 4/10*(-9 + 259 + -5)? 95 Let t be (8 - -1)*(-10)/(-15). Let a(i) = -t + 3*i + 30 - i. What is the remainder when 4 is divided by a(-11)? 0 Let p = 139 - 98. Calculate the remainder when (0 + 4)/((-37)/(-1110)) is divided by p. 38 Let a = 556 - 520. Calculate the remainder when a is divided by (0 + 2/2)*19. 17 Let f = 2171 - 2159. Suppose 6*q - 4*q - 8 = 0. Suppose 2 + 10 = q*c. Calculate the remainder when f is divided by c. 0 Suppose 0 = -372*p + 373*p - 12. Calculate the remainder when 188 is divided by p. 8 Suppose -2*d - 6 - 4 = 0, 3*t + 2*d = -4. Let b(p) = -p**3 + 7*p**2 + 7*p + 17. Let v be 5 - 2/2*-3. Calculate the remainder when b(v) is divided by t. 1 Let w(g) = -g**3 + 12*g**2 - 12*g + 2. Let r(i) = 2*i**2 - 6*i - 4. What is the remainder when w(3) is divided by r(5)? 15 Let b = -58 + 154. Let r be (-1 - 26/2)/(-2). Suppose -n - b = -r*n. Calculate the remainder when 78 is divided by n. 14 Let m(n) = n**2 - n + 109. Suppose -15*b + 442 - 22 = 0. Calculate the remainder when m(0) is divided by b. 25 Let b(g) = -g**3 - 8*g**2 - g + 11. Let t be b(-8). Let u = 14 - t. Let x(i) = i**3 + 6*i**2 + 5*i + 4. Calculate the remainder when 19 is divided by x(u). 3 Let z be 0 + (-44 + 2)/(-1). Let s = z - 27. What is the remainder when 29 is divided by s? 14 Let g = 15 - 5. What is the remainder when 8 is divided by ((-14)/(-4))/(g/20)? 1 Suppose 2*g - 12 = 28. What is the remainder
{ "pile_set_name": "DM Mathematics" }
1.6? -1.6 Which is the smallest value? (a) -0.1 (b) 16/15 (c) -19 c Which is the biggest value? (a) 5 (b) -4 (c) 83 c Which is the third smallest value? (a) -4 (b) 5 (c) -1 b Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 2/9 (d) 0.09 (e) 1/3 c What is the third biggest value in -1/10, 0.04, 5? -1/10 Which is the second smallest value? (a) -1/11 (b) -0.5 (c) -1/10 (d) -0.3 d Which is the fifth smallest value? (a) -2/23 (b) 2 (c) -28 (d) 4 (e) 0.3 d What is the second smallest value in 3, -5, -1/3, -1/740? -1/3 Which is the biggest value? (a) 1 (b) 1365 (c) -4 b What is the second biggest value in -1/5, 1, -3/7? -1/5 What is the third biggest value in 3/5, 5, 3.14? 3/5 Which is the second smallest value? (a) 1/3 (b) 5 (c) -23 (d) 4/7 a What is the second smallest value in -1.1, 8, -2, 0? -1.1 What is the biggest value in 924, 1/8, -5, -4? 924 What is the fifth biggest value in -9, 5, -65, 4, 0.1? -65 Which is the second smallest value? (a) 0.4 (b) 16 (c) 0 a Which is the smallest value? (a) -236 (b) -0.5 (c) -3 a Which is the third smallest value? (a) -1 (b) 1.4 (c) -2 b What is the biggest value in 1/5, 0.04, 1/3, -0.06? 1/3 What is the second biggest value in -3, 290, 2? 2 What is the second biggest value in 2/3, 15, -0.1, -4, -0.5? 2/3 What is the third smallest value in -0.1, -1.3, -1/3, -3? -1/3 Which is the fourth biggest value? (a) -2 (b) -4 (c) -3 (d) -2/5 (e) -40 b Which is the third smallest value? (a) 131 (b) 0.5 (c) 0 a Which is the fourth smallest value? (a) 5 (b) 0.3 (c) 0 (d) 4/21 a What is the second smallest value in -0.5, 198, -2, 1/9? -0.5 Which is the third biggest value? (a) -2 (b) 0 (c) -1/8 a What is the fifth biggest value in -0.3, 0.1, 21, 4, 6/7? -0.3 Which is the third smallest value? (a) -2 (b) -0.2 (c) 3 (d) -2/21 d Which is the third biggest value? (a) 1/6 (b) 0.2 (c) 10 (d) -4 (e) -0.1 a What is the fifth smallest value in 5, -4, -3, -11, 0.2? 5 Which is the fifth smallest value? (a) 3/2 (b) 70 (c) -0.2 (d) -1 (e) 5 b What is the fourth biggest value in 5/13, -1, 5, -0.2? -1 Which is the smallest value? (a) -102 (b) -2 (c) -0.5 a Which is the second biggest value? (a) 5 (b) -2/9 (c) -13 (d) 0.1 d Which is the second biggest value? (a) -0.53 (b) -4/9 (c) 4 b What is the fourth smallest value in 2/7, 5, 0.042, 4? 5 What is the biggest value in -1/2, -3, -0.05, 0.5, -5/4? 0.5 Which is the third biggest value? (a) 2 (b) 1/7 (c) -2 (d) 2/11 b Which is the second biggest value? (a) -0.7 (b) -4 (c) 1/7 (d) 1/2 c What is the biggest value in -0.4, -3, -0.2005, -0.2? -0.2 What is the second biggest value in -3, 113/5, 0.1? 0.1 Which is the second biggest value? (a) -3 (b) 3/7 (c) 1/65 (d) -2/5 (e) -1 c Which is the second smallest value? (a) -38 (b) -0.3 (c) 10 b What is the biggest value in -2/3, -5, 0.157? 0.157 Which is the third smallest value? (a) -1/10 (b) 5/3 (c) -6 (d) 0.1 d Which is the fourth biggest value? (a) 3 (b) 2/7 (c) -4 (d) 1 c Which is the smallest value? (a) -2.9 (b) 0.5 (c) 0.7 a Which is the fourth biggest value? (a) 1/4 (b) -4 (c) 6/11 (d) 2 b What is the third smallest value in 2/5, -1/2, 3/31, -4? 3/31 What is the smallest value in 5/4, -0.3, 5, -3? -3 What is the second biggest value in 27, 1/6, 3? 3 What is the second biggest value in 5, -3.1, 37? 5 Which is the third smallest value? (a) -0.3 (b) 12 (c) 2/5 (d) -13 c Which is the third smallest value? (a) -0.2 (b) -5 (c) 0 (d) -1/4 a What is the fourth smallest value in 2/5, -1/2, -4, -2/41? 2/5 What is the third smallest value in -5, 2/7, -117, -1, -0.2? -1 What is the second smallest value in 5, -443, -5, -2/7? -5 Which is the second smallest value? (a) -2 (b) 2/3 (c) -0.5 (d) 4 c What is the smallest value in 1.5, 0, -0.19? -0.19 Which is the biggest value? (a) -0.5 (b) -8 (c) -3/38 c Which is the biggest value? (a) -3 (b) 76 (c) -56 b Which is the fifth smallest value? (a) -4 (b) 4 (c) 0.2 (d) 2/11 (e) 3 b What is the second biggest value in -1, 3, -0.15, 13? 3 What is the third smallest value in 1/2, 3, -0.4, 4/3? 4/3 Which is the third biggest value? (a) 3/7 (b) 5 (c) 2 a What is the second biggest value in -1/4, 110, 25? 25 What is the biggest value in -2, -1.31, 0, -3/4? 0 Which is the third smallest value? (a) 3 (b) -1 (c) -3 (d) 2/19 d What is the second smallest value in -1/10, -6, 5/4, -8, 2? -6 What is the biggest value in 6, -2, -4? 6 What is the fourth smallest value in 2/15, -17, -2, 5? 5 Which is the biggest value? (a) 11 (b) 0.13 (c) 7 a Which is the biggest value? (a) 4 (b) 1905 (c) -4 b What is the third biggest value in -2/7, 1/3, -1/3, 0.2, -0.9? -2/7 What is the smallest value in 2, 36, -7, -0.4? -7 What is the second biggest value in 1/5, -1, 0.4, 7/16? 0.4 What is the fourth smallest value in -2/5, -4, 1/6, -3/4? 1/6 What is the biggest value in 73, 5, 0? 73 What is the third biggest value in 2/11, 11, -5, 5? 2/11 Which is the smallest value? (a) -24 (b) -2 (c) 0 (d) 0.1 (e) -221 e Which is the fourth biggest value? (a) 1/2 (b) -38 (c) 1 (d) 2/17 b What is the biggest value in 155, -5, 1/6? 155 Which is the second biggest value? (a) -0.3 (b) 3/8 (c) -4 (d) 0 d Which is the smallest value? (a) -18 (b) 2/11 (c) -85 c Which is the fifth biggest value? (a) 3.3 (b) 0 (c) -23 (d) -4 (e) 0.2 c What is the biggest value in -12/7, 2/47, -0.2, -4/5? 2/47 What is the fourth smallest value in -4, 1/2, -4/3, -0.76? 1/2 Which is the biggest value? (a) 1 (b) -1 (c) 5/2 (d) 1/72 c Which is the smallest value? (a) -2 (b) 33 (c) -2/9 a What is the second biggest value in 2/5, -1, -35/3, 1/5, -0.5? 1/5 Which is the third biggest value? (a) -0.3 (b) 373 (c) 9 a What is the smallest value in -0.02, -47, 2/3? -47 Which is the biggest value? (a) -3 (b) -7 (c) 0.4 (d) -0.158 (e) 4 e What is the second biggest value in -4, 4, -509/5, 2/3, 1/2? 2/3 Which is the smallest value? (a) -4/5 (b) -5 (c) 21 (d) 0.2 (e) 0.02 b Which is the second smallest value? (a) 0.5 (b) 0.27 (c) 0.4 c Which is the fourth smallest value? (a) 4 (b) 0.03 (c) -11 (d) -3/7 a Which is the biggest value? (a) -3/2 (b) 9 (c) 3 (d) 0.1 (e) -2/5 b Which is the biggest value? (a) 3 (b) 5 (c) -50/123 b Which is the fourth smallest value? (a) 3 (b) -2/3 (c) 2 (d) 43 d Which is the second smallest value? (a) 0.3 (b) -2/3 (c) 5 (d) 36 (e) -4 b Which is the biggest value? (a) -8 (b) -2 (c) 1 (d) -3 c Which is the fifth smallest value? (a) -1.3 (b) -5 (c) 0 (d) 6 (e) 5 d Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 1/3 (d) 0 d What is the second biggest value in -1, -25, -3/8? -1 What is the third smallest value in 15, 4, -1/4? 15 Which is the fifth biggest value? (a) -33 (b) 84 (c) -3 (d) 2/11 (e) -0.2 a Which is the second smallest value? (a) 3 (b) -4/5 (c) -0.1 (d) -2 b Which is the second smallest value? (a) 2/3 (b) 5/4 (c) 0.1 a What is the smallest value in -2/9, 115, 3? -2/9 Which is the third smallest value? (a) 11 (b) 0.2 (c) -24/7 a What is the second smallest value in 4, -0.04, -0.1, -4/3, 6? -0.1 What is the biggest value in -0.1, 28, -0.5? 28 What is the third biggest value in -10, -76/11, 0.3? -10 What is the fourth biggest value in 0.2, 4, -4, -0.09? -4 What is the smallest value in 2.1, -2, -16? -16 What is the third smallest value in 3/8, -56, 5? 5 Which is the second biggest value? (a) 2 (b) -0.04 (c) 0.4 (d) -4 (e) -18 c Which is the biggest value? (a) 0 (b) -6 (c) -62 (d) -4 a Which is the fourth smallest value? (a) 3 (b) 0.5 (c) 15 (d) -4/7 c Which is the fifth smallest value? (a) -2/5 (b) 2 (c) 4 (d) -3 (e) 33 e What is the third biggest value in 0.36, -0.1, 9, 3/4? 0.36 Which is the smallest value? (a) -1/10 (b) 0.3 (c) 126 a Which is the second smallest value? (a) 0.2 (b) 0.0106 (c) 4 a Which is the second smallest value? (a) 4 (b) -123/7 (c) -5 c Which is the fourth biggest value? (a) 2/11 (b) 1/42 (c) -0.4 (d) 2/9 c What is the biggest value in 0.1, -0.3, 19? 19 What is the second smallest value in 2/3, 1/8, 5? 2/3 Which is the third biggest value? (a) 4/11 (b) -4 (c) 0.3
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from acfcoga? 1/21 Calculate prob of picking 2 p when two letters picked without replacement from kppnppnpkpnkpk. 3/13 Calculate prob of picking 1 e, 1 l, 1 s, and 1 x when four letters picked without replacement from {l: 2, s: 1, x: 1, e: 1}. 2/5 Two letters picked without replacement from xxdoxxxvxxvxod. Give prob of picking 1 o and 1 x. 16/91 What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 1, z: 2, c: 1, d: 5}? 1/36 Two letters picked without replacement from {m: 1, p: 1, e: 7, a: 8}. What is prob of picking 1 e and 1 p? 7/136 Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, x: 8, y: 2, i: 2, h: 4}. 1/969 Two letters picked without replacement from {s: 6, k: 2, f: 11}. Give prob of picking 1 f and 1 s. 22/57 Three letters picked without replacement from {f: 2, w: 5}. What is prob of picking 3 w? 2/7 What is prob of picking 1 t and 1 o when two letters picked without replacement from {v: 6, t: 6, z: 2, h: 2, o: 1, n: 1}? 2/51 Four letters picked without replacement from {v: 7, r: 5}. Give prob of picking 2 r and 2 v. 14/33 What is prob of picking 2 p and 1 t when three letters picked without replacement from ppptpppt? 15/28 Four letters picked without replacement from rjjreejjjjrjrjjjjrjj. Give prob of picking 1 e and 3 r. 4/969 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xjyyyjjj. 1/7 Four letters picked without replacement from {g: 3, v: 9, h: 2, z: 5}. Give prob of picking 2 h, 1 v, and 1 g. 9/1292 Three letters picked without replacement from {v: 1, c: 1, g: 7, n: 1, l: 3}. What is prob of picking 1 l, 1 n, and 1 g? 21/286 What is prob of picking 2 e when two letters picked without replacement from {x: 1, n: 9, r: 2, e: 2, w: 3}? 1/136 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, j: 12, f: 1, c: 1, i: 2}. 1/68 What is prob of picking 2 u when two letters picked without replacement from {u: 8, c: 1, w: 1, e: 1, s: 1}? 14/33 What is prob of picking 1 o and 1 b when two letters picked without replacement from ooojobroboorooow? 1/6 What is prob of picking 2 i when two letters picked without replacement from kirrirriirrkk? 1/13 What is prob of picking 2 f, 1 e, and 1 u when four letters picked without replacement from {f: 6, u: 6, g: 1, e: 1, b: 5}? 15/646 Three letters picked without replacement from fdjtcdjjfjfjq. What is prob of picking 1 c, 1 d, and 1 t? 1/143 Four letters picked without replacement from {r: 5, i: 9}. Give prob of picking 3 i and 1 r. 60/143 What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, t: 2, c: 1, i: 1, w: 1, f: 1}? 1/21 Two letters picked without replacement from {m: 1, j: 3, k: 3, d: 6, a: 1, i: 4}. Give prob of picking 1 d and 1 i. 8/51 What is prob of picking 3 e when three letters picked without replacement from egee? 1/4 Three letters picked without replacement from nunnxxiixn. Give prob of picking 1 x, 1 i, and 1 n. 1/5 What is prob of picking 4 l when four letters picked without replacement from llltlllltllllt? 30/91 What is prob of picking 4 x when four letters picked without replacement from {x: 6, t: 2, w: 9}? 3/476 What is prob of picking 1 b and 2 c when three letters picked without replacement from cbubuccttbcc? 3/22 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from pcppccyyc. 2/9 Three letters picked without replacement from afrrefesraev. What is prob of picking 1 f, 1 r, and 1 e? 9/110 Four letters picked without replacement from {a: 4, u: 3}. What is prob of picking 1 a and 3 u? 4/35 What is prob of picking 1 r and 1 n when two letters picked without replacement from pphcpneehrhhpehhp? 1/136 Calculate prob of picking 1 a, 1 m, and 2 n when four letters picked without replacement from {n: 3, m: 1, a: 3}. 9/35 Two letters picked without replacement from {n: 1, b: 1, l: 3, u: 2, d: 2, j: 3}. What is prob of picking 1 l and 1 j? 3/22 Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkk. 1 Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {n: 5, c: 4, i: 3}. 3/22 Calculate prob of picking 1 e and 3 x when four letters picked without replacement from xxxxxxxe. 1/2 Three letters picked without replacement from eeeekeeeke. Give prob of picking 3 e. 7/15 What is prob of picking 2 g when two letters picked without replacement from ppppgppppppgpppgpp? 1/51 What is prob of picking 1 q, 1 b, and 1 o when three letters picked without replacement from {b: 1, o: 4, q: 2, d: 2, s: 3}? 2/55 Four letters picked without replacement from {q: 17, j: 3}. Give prob of picking 1 j and 3 q. 8/19 Two letters picked without replacement from {w: 4}. Give prob of picking 2 w. 1 What is prob of picking 3 e when three letters picked without replacement from iiiieieeiiii? 1/220 Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, b: 2, p: 1}. 1/10 Four letters picked without replacement from pzzzpppzpzzzz. What is prob of picking 2 z and 2 p? 56/143 What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 3, y: 5, e: 4}? 5/22 Four letters picked without replacement from {j: 2, o: 1, n: 1, p: 1, y: 1, a: 1}. What is prob of picking 1 j, 1 p, 1 a, and 1 y? 2/35 What is prob of picking 2 j and 1 b when three letters picked without replacement from {b: 1, j: 5, d: 2, u: 7, q: 3, m: 2}? 1/114 Three letters picked without replacement from crlrd. What is prob of picking 1 l and 2 r? 1/10 Four letters picked without replacement from ahhhreaoogre. Give prob of picking 1 o, 2 r, and 1 g. 2/495 Three letters picked without replacement from niiiiniinnninn. What is prob of picking 2 n and 1 i? 21/52 Calculate prob of picking 1 t and 2 g when three letters picked without replacement from {g: 10, t: 3, k: 2, y: 1}. 27/112 Two letters picked without replacement from gnggngg. Give prob of picking 1 n and 1 g. 10/21 What is prob of picking 3 f when three letters picked without replacement from {o: 2, i: 6, f: 10}? 5/34 Four letters picked without replacement from {p: 8, y: 2, i: 8}. Give prob of picking 1 p, 2 i, and 1 y. 112/765 What is prob of picking 1 y and 2 q when three letters picked without replacement from yyyqqkxkqkkkkk? 9/364 Four letters picked without replacement from {x: 11, h: 5}. Give prob of picking 3 x and 1 h. 165/364 Calculate prob of picking 2 r when two letters picked without replacement from {d: 2, o: 1, r: 4, e: 6}. 1/13 Two letters picked without replacement from ccckccccccl. Give prob of picking 1 l and 1 k. 1/55 Four letters picked without replacement from ficiffofffffffofcf. What is prob of picking 1 c, 2 i, and 1 o? 1/765 What is prob of picking 3 z when three letters picked without replacement from wwwwwwyzw? 0 Two letters picked without replacement from qdxlxxvxxvv. What is prob of picking 1 q and 1 d? 1/55 Calculate prob of picking 1 f, 1 w, 1 z, and 1 u when four letters picked without replacement from wwhfhwzuw. 2/63 Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {c: 1, w: 1, y: 5, v: 2}. 5/18 Three letters picked without replacement from dadmdguuuddg. What is prob of picking 1 g, 1 a, and 1 u? 3/110 Calculate prob of picking 4 x when four letters picked without replacement from cxxccccxcccxcccxcxc. 5/1292 Three letters picked without replacement from ccqcq. Give prob of picking 1 c and 2 q. 3/10 What is prob of picking 1 m, 1 p, and 1 v when three letters picked without replacement from mpwvwm? 1/10 Two letters picked without replacement from {g: 3, q: 1, k: 1, p: 2}. What is prob of picking 1 g and 1 q? 1/7 Three letters picked without replacement from {f: 1, u: 1, p: 1, h: 3, c: 1}. Give prob of picking 1 c, 1 h, and 1 u. 3/35 What is prob of picking 2 h and 1 m when three letters picked without replacement from {h: 1, w: 1, o: 1, m: 1, t: 4}? 0 Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {b: 1, d: 3}. 3/4 What is prob of picking 3 h and 1 l when four letters picked without replacement from {l: 9, h:
{ "pile_set_name": "DM Mathematics" }
77.764 - 377. Let a = 0.6853 - p. Round a to two dps. -0.08 Let a = -13352 + 13352.0041095. Round a to four decimal places. 0.0041 Let l = 24596.53 - 24701. Let s = -30.1 - l. Let r = s + -75. What is r rounded to 1 dp? -0.6 Let w = -164 - -190.6. Let u = 3.6 - w. Let a = 23.0000019 + u. Round a to six decimal places. 0.000002 Let i = -1952875 - -1952861.55863. Let r = i - -13.45. Round r to 4 decimal places. 0.0086 Let u = 2.254310587 + -2.2543. Round u to seven dps. 0.0000106 Let h(u) = -85 + 27*u - 71*u + 0*u - 24*u - 47*u. Let x be h(-12). Round x to the nearest 100. 1300 Let t = -7586759 + 7586868.99957. Let j = -110 + t. Round j to 4 dps. -0.0004 Let v = 19167.1 - 20349. Round v to the nearest ten. -1180 Let t = 757.8 + -678. Let j = 15 - t. Round j to the nearest ten. -60 Let v be 2*-15*((-46)/(-10) - 5). Suppose -v*o - 2064 = 44976. What is o rounded to the nearest 100? -3900 Let q be (-12309)/(-77) - 16/(-14). Suppose -5*p = 2*i - i - 1373, p + 4*i = 286. Let b = p - q. Round b to the nearest 100. 100 Let r(i) = 7*i + 68. Let b be r(-9). Suppose -b*c = -293414 - 1406586. What is c rounded to the nearest one million? 0 Let r = -24824.000000119 + 24824. Round r to 6 decimal places. 0 Let k = -100788325 - -100788322.96999195. Let n = k - -2.03. What is n rounded to six dps? -0.000008 Let t = 12.584 + -18.96. Let j = t + 45.506. Let c = 1.63 - j. Round c to zero dps. -38 Let z be 4*-4*(-4)/32*10. Suppose 69558 - 357558 = z*i. What is i rounded to the nearest one thousand? -14000 Let i(o) be the first derivative of 4*o**3 - 11*o**2 - 9*o + 13. Let s be i(8). Round s to the nearest ten. 580 Suppose 8 = -3*p - 40. Let c = -13 - p. Suppose -4*h + 5*r = 10359975, c*h + r + 7769995 = 2*r. What is h rounded to the nearest one hundred thousand? -2600000 Let n = -40 + 6. Let i = n - -33.796. Let s = i + 0.204000637. Round s to 7 dps. 0.0000006 Let q(h) be the first derivative of -3*h**2 - 2080000*h - 54. Let v be q(0). Round v to the nearest 1000000. -2000000 Let y = -17 - -25. Let h = 11 - y. Suppose 4*v = -3*m - m + 3088, -h*m + 2*v + 2306 = 0. Round m to the nearest 100. 800 Let v = -4890.9999962986 - -4891. What is v rounded to 7 dps? 0.0000037 Let f = 8.2 + -0.2. Let t = -0.015771 + -7.984869. Let g = f + t. What is g rounded to 4 dps? -0.0006 Let t = 440.1 + -493. Let q = t + 4.4. Round q to the nearest 10. -50 Let d = 8.321 + -7.98. Let f = d - 0.3211. Round f to 3 dps. 0.02 Let z = -1129.3047 - 1.2953. Let u = z + 1254. What is u rounded to the nearest 10? 120 Let x = 0.046 - -0.864. Let u = 0.91 - x. Let d = u + -0.006. Round d to 3 dps. -0.006 Let g = 943.25 + -1063. Let n = g + 130. What is n rounded to the nearest integer? 10 Let w(j) = -3*j**2 - 291. Let p be w(0). Let r = -4879 + p. Round r to the nearest one hundred. -5200 Let m = 0.7162 - -0.0248. Let h = 0.76 - m. Let c = 0 - h. What is c rounded to 2 decimal places? -0.02 Let z(d) = 613*d + 214. Let g be z(24). What is g rounded to the nearest one thousand? 15000 Suppose 127083000 = 8532*i - 8535*i. Round i to the nearest one million. -42000000 Let x = -26 - -28. Let k(y) = 3*y - y - 4*y**x + 131251*y**3 + y**2 - 2 + y. Let g be k(2). What is g rounded to the nearest 100000? 1100000 Let r = 430524 - 191401. Let m = 239076.0092 - r. Let i = -47 - m. What is i rounded to 3 dps? -0.009 Let j = -2.5 + 2.35. Let x = 0.08 - j. Let d = x + -0.057. Round d to 2 decimal places. 0.17 Let b = 381 + -508. Let w = b - -126.086. What is w rounded to one decimal place? -0.9 Suppose 16 = f + 5*v - 8*v, -17 = -f + 4*v. Suppose -f*c + 68500000 = -3*c. Round c to the nearest one hundred thousand. 6900000 Let g = 2.1242695 - 2.1256. What is g rounded to 5 dps? -0.00133 Let u(k) = -329*k**2 - 15*k + 9. Let g(a) = -985*a**2 - 44*a + 27. Let n(j) = 6*g(j) - 17*u(j). Let o be n(3). Round o to the nearest one thousand. -3000 Let z = 32705.874741 + -32706. What is z rounded to four decimal places? -0.1253 Let q = -4899009497604266 + 4899009458060783.79000193. Let n = q + 39543482. Let b = -0.21 - n. What is b rounded to seven dps? -0.0000019 Let f = -634.583778343 - -634.022416. Let a = 7.728642067 - f. Let t = a - 8.29. What is t rounded to 7 decimal places? 0.0000044 Let v = 1415.199989181 - 1415.2. What is v rounded to 6 dps? -0.000011 Let k be (15/(-10))/3*-18. Suppose k*s = 3*s. Suppose -13*t + 21*t - 540000000 = s. What is t rounded to the nearest one million? 68000000 Let y(t) = -t**3 + 5*t**2 - 7*t - 3. Suppose 10 = -4*u + 26. Let z be y(u). Let v be 2004/(-10) - (-6 + (-84)/z). What is v rounded to the nearest 1000? 0 Let c = 6658.04546 + -6657. Let m = -148.01 - -149.06. Let g = m - c. What is g rounded to three dps? 0.005 Let o = 0.48 - -354.52. Let z = o - 354.9714. Round z to 2 dps. 0.03 Let d(v) = 397*v**2 - v - 2. Let k be d(2). Let m = -557 + 574. Suppose -5*t = -m*t + k. What is t rounded to the nearest 10? 130 Suppose -33469830 = 13*r - 7*r. Let y = 2099108 + r. Let t = y + 11579197. Round t to the nearest 1000000. 8000000 Let i = 4907.7 + -5122. Let r = -304 - i. Round r to zero dps. -90 Let a = 9.3412333 - 9.26123. Let q = a + -0.08. Round q to 7 decimal places. 0.0000033 Let v be (-1092)/(-77) - (-2)/(-11). Let q be (-1851590)/35 + 2 - (-8)/v. Round q to the nearest one thousand. -53000 Let g = -2.608 - -2.78064. Let s = g - 0.2239. Let f = 0.052 + s. Round f to four dps. 0.0007 Let g = 37.2074 + -66.838. Let p = 29.94 + g. What is p rounded to 2 decimal places? 0.31 Let h = -14.1 - -13.8. Let v = 8.06 + h. What is v rounded to 0 decimal places? 8 Let i = 58 + -83. Let z = i - -24.43. Let d = 0.569981 + z. What is d rounded to five dps? -0.00002 Let k = -7664804.84 - -7664813.75347561. Let g = k - 8.971273. Let x = g - -0.0578. Round x to seven decimal places. 0.0000026 Let y(g) = 322*g - 47. Let c(a) = a. Let r(o) = -5*c(o) + y(o). Let d be r(21). Round d to the nearest 100. 6600 Let o = -149.475 + 149. Let x = o + 0.4750619. What is x rounded to 5 dps? 0.00006 Let s = -34.23 + 40.1. Let b = s - 3.2. What is b rounded to the nearest integer? 3 Let t = -411.90169 + -1.95391. Let a = -414 - t. Round a to two decimal places. -0.14 Let d = 4102.142 - -366721.8503. Let p = d + -370722. Let t = p + -102. Round t to three decimal places. -0.008 Let c = 1829 + -1828.991595. Round c to 3 dps. 0.008 Let t(o) = 55*o**3 + 57*o**2 - 226*o + 24. Let n be t(-28). What is n rounded to the nearest ten thousand? -1160000 Let o(n) = 5820*n**2 + 132*n + 2340. Let c be o(-20). What is c rounded to the nearest 1000000? 2000000 Suppose 8*h - 10*h + 2 = 0. Suppose -2*f - 2*c = 6, -f + h = 2*c + 2. Let j be (-2 + 5)*(f - -335). Round j to the nearest one hundred. 1000 Let a = 6287.95737 + -6288. What is a rounded to two dps? -0.04 Let c = -67526 + 67823.23. Round c to the nearest 10. 300 Let y = -4656 - -2659. Round y to the nearest 1000. -2000 Let i = -942 + 1093.7. Let j = i - 151.6999043. Round j to 6 decimal places. 0.000096 Let m = 154427.4 - 154578.40272. Let n = 151 + m. What is n rounded to three decimal places? -0.003 Suppose -x - 1 = -2*r + 9, 0 = -x. Suppose -i - 16220 = -4*n, 2*n = r*i - 0*i + 8110. Round n to the nearest 100. 4100 Let n be -9235 - (-13)/1 - 1. Round n to the nearest 100. -9200 Let a(r) = -r**2 + 18*r - 10. Let u be a(18). Let n be (-218076)/u + (-10)/(-175)*7. Let f = -34208 + n. Round f to the nearest one thousand. -12000 Suppose -5*m = -40 + 15. Suppose -2*a + 2*q = -8, 2*a - m*q + 1 = 21. Let b be 1525*(-64000)/(4 + a). What is b rounded to the nearest 1000000? -24000000 Let i = -145.929936 - -134.52989. Let v = i + 11.4. Round v to 5 decimal places. -0.00005 Suppose 0 = 21*c + 14*c - 2282315. Let m = -11491 - c. Round m to the nearest 10000. -80000 Let m be (-2 - 4/2)*198505/(-58). What is m rounded to the nearest ten thousand? 10000 Suppose 8*h + 1860 = 12*h. Let t = 59 - h. Round t to the nearest 100. -400 Let a = 24757.0505 + -24742. What is a rounded to 0 dps? 15 Suppose -l - 105 = -4*l. Suppose t = 1, -n = 5*t - 6 + l. Let a be 1/((-85)/10) + (-2924004)/n. Round a to the nearest 10000. 90000 Let k = -90.1 - -14.1. Let i = k - -82.4. Let n = i - 6.39989. What is n rounded to five dps? 0.00011 Let u(z) = -1 + z - 1 - 3*z + 3*z. Let v be u(5). Suppose -v*h = -14286967
{ "pile_set_name": "DM Mathematics" }
4. Let q(f) = 15667*f**2 + 16904*f + 11. Let h(u) = 11*m(u) - 4*q(u). Find the second derivative of h(o) wrt o. -10474 Let x(b) = -261*b**2 + 99*b + 78570. Let r(g) = 26*g**2 - 10*g - 7861. Let v(c) = -21*r(c) - 2*x(c). What is the first derivative of v(q) wrt q? -48*q + 12 Let s(o) be the second derivative of -3*o**5/10 + 65*o**4/6 + 581*o**2 + 10*o - 89. Differentiate s(t) wrt t. -18*t**2 + 260*t Suppose -4*q = -448 + 156. What is the second derivative of -q - 74 - 74*c**2 + 147 + 3*c wrt c? -148 Let b(v) be the second derivative of -43*v + 0 - 61*v**2 - 41/2*v**3. What is the first derivative of b(m) wrt m? -123 Find the third derivative of 10*d**2 + 2*d - 2*d**4 - 7*d - 10*d**4 + 13*d**4 - 4*d + 783*d**3 wrt d. 24*d + 4698 Let p(t) = 1296*t**2 + 14*t + 125. Let r(n) = 3887*n**2 + 47*n + 378. Let h(i) = -7*p(i) + 2*r(i). What is the second derivative of h(a) wrt a? -2596 Let z be (5*(-18)/150)/((-3)/10). What is the third derivative of 2*j**z - 72*j**3 + 769*j - 773*j + 6*j**2 wrt j? -432 Let w(a) = 485*a - 7041. Let d(s) = s - 22. Let v(t) = d(t) + w(t). What is the first derivative of v(c) wrt c? 486 Let i = 2432 + -457. Find the second derivative of -118*v**2 - 1975 + i + 145*v wrt v. -236 Let i(r) be the second derivative of -644*r**3/3 + 4279*r**2 - 5*r + 14. Differentiate i(x) wrt x. -1288 Let u(s) = 16*s - 45. Let j be u(6). Suppose 0 = -30*h + 29*h + j. What is the third derivative of h*q - 51*q - 7*q**2 + 19*q**6 wrt q? 2280*q**3 What is the third derivative of 23116*l**3 - 22742*l**3 + 4*l**2 - 5*l - 7*l**2 - 8*l**2 wrt l? 2244 Let q(f) be the second derivative of -f**2 + 0*f**4 - 1/3*f**3 - 184*f + 0 + 13/5*f**5. What is the second derivative of q(d) wrt d? 312*d Suppose -2*y - 5*v = -286381, -5*y + 8*v + 715921 = 10*v. Find the second derivative of -143183*q**3 + 191*q**4 + y*q**3 - 121*q wrt q. 2292*q**2 Let c(h) be the first derivative of 6337*h**5/5 + 2234*h**3 - 4741. Find the third derivative of c(t) wrt t. 152088*t Let o be (-1)/(-4) + 1199/436. Let d = 26 + -9. Find the third derivative of 13*m**2 - d*m**5 + 4*m**4 - 4*m**4 + o*m**5 wrt m. -840*m**2 Suppose l - 6*l + 56 = 4*q, -2*l - 27 = -q. Let a = q + 21. Find the third derivative of 45*f**2 - 94*f**2 + a*f**2 + 5*f**3 + 5*f**3 wrt f. 60 Let p(x) = 2223*x**3 + 1363*x**2 + 6*x - 3. Let q(t) = t**3 + 2*t**2 + 2*t - 1. Let j(i) = p(i) - 3*q(i). Find the third derivative of j(r) wrt r. 13320 Let u(a) be the second derivative of -27/2*a**2 - 127/20*a**5 + 0*a**3 - 5 - a + 0*a**4. What is the first derivative of u(s) wrt s? -381*s**2 Let w(d) be the third derivative of -299*d**8/336 + d**7/105 + d**6/24 + 7*d**5/60 + d**4/24 - 4*d**3 + 2910*d**2. Find the third derivative of w(s) wrt s. -17940*s**2 + 48*s + 30 Let g be 2/6 + 1416/(-36). Let o be (806/g)/((-1)/(-3) + -1). What is the second derivative of o*y - 2 + 2 - 38*y**2 - 54*y wrt y? -76 Let y(k) be the second derivative of 7/6*k**3 + 56 + 2*k - 1/4*k**4 + 32*k**2. What is the first derivative of y(q) wrt q? -6*q + 7 Let q = 42 + -42. Suppose k + k = q. Find the third derivative of 5*d**6 - 2*d**2 - 2*d**6 + 2*d**6 + k*d**2 wrt d. 600*d**3 Let j(n) = n + 13. Suppose 0*t + 20 = -4*h - 2*t, -5*t = -3*h - 15. Let x be j(h). Find the second derivative of -5*d**5 + 7*d + x*d - d**5 - 8*d**5 wrt d. -280*d**3 Let r(y) be the second derivative of -517*y**7/42 + 4567*y**4/12 + 2099*y. Find the third derivative of r(j) wrt j. -31020*j**2 Let l = -278 + 278. Find the third derivative of l*h**2 + 4*h**2 + 5*h**3 - 122*h - 8*h**2 + 124*h - 11*h**2 wrt h. 30 What is the second derivative of 13*s - 134193 - 35*s - 1613*s**2 + 134191 wrt s? -3226 Let y(i) = 10*i**2 + 13607*i - 5349. Let f(t) = 6*t**2 + 6804*t - 2674. Let a(j) = 7*f(j) - 4*y(j). Differentiate a(v) wrt v. 4*v - 6800 Let q(c) = 15*c - 8. Let z(i) = 8*i - 5. Let s = 311 + -313. Let o(h) = s*q(h) + 5*z(h). What is the derivative of o(y) wrt y? 10 Let a(j) = 2*j**3 + 3*j**2 - 4*j - 10. Let c be a(-2). Let d = c - -15. What is the third derivative of -15*n**5 - 5*n**2 - 22*n**5 + 13*n**5 - d*n**2 wrt n? -1440*n**2 Let o be 2/(30/105) + -5. Let a(j) be the second derivative of 0*j**o - 1/3*j**3 + 0 - 4/3*j**4 - 10*j. Find the second derivative of a(r) wrt r. -32 Let a = 1315 + 1748. What is the third derivative of -7*m**2 - 1523*m**4 - 4*m**3 - 1530*m**4 + a*m**4 wrt m? 240*m - 24 Let j = 59 - 1. Let d = -53 + j. Find the third derivative of 5*k**2 + 6*k**6 + d*k**6 + 11*k**2 + k**2 wrt k. 1320*k**3 Let v(q) = -787*q - 1092. Let a(h) = -783*h - 1091. Let s(k) = 4*a(k) - 5*v(k). Differentiate s(o) with respect to o. 803 Let w(h) = -657*h**3 + 2103*h**2 - 9*h - 3. Let q(c) = 655*c**3 - 2104*c**2 + 6*c + 2. Let i(t) = -3*q(t) - 2*w(t). Find the third derivative of i(z) wrt z. -3906 Suppose p + 4*i = -i + 133, 2*i = -3*p + 399. Differentiate -138*b**2 - p*b**2 + 267*b**2 - 21 wrt b. -8*b Find the first derivative of -786*m**4 - 182*m**4 - 915*m**4 - 292*m**4 + 4778 wrt m. -8700*m**3 Let q(o) = -2*o**3 - 4. Let w(i) = 5778*i**3 + 2*i**2 - 79*i + 13. Let n(a) = -2*q(a) + w(a). What is the third derivative of n(x) wrt x? 34692 What is the third derivative of -149*x**3 + 81*x**2 + 125*x**2 + 49*x**2 + 721*x**2 - 289*x**3 wrt x? -2628 Let d(o) = o**3 + 4*o**2 - 2*o + 3. Let p be d(0). Find the second derivative of -20*j**p + 5*j**3 + 70*j + 0*j**4 + j**4 - 33*j wrt j. 12*j**2 - 90*j What is the second derivative of -123*g**3 - 15*g + 6*g + 53*g**3 + 3*g**2 - 93*g**3 + 60 wrt g? -978*g + 6 Let j(i) = -2*i**2 + 8*i - 2. Let v be j(3). Differentiate -11*s**4 + 25*s**3 - 25*s**3 + 3*s**v + 53 + 2*s with respect to s. -32*s**3 + 2 Let f = -516 + 585. What is the first derivative of -f*t - 52735 + 52866 - 12*t wrt t? -81 Suppose 4*f - 409 = -4*m + 415, 0 = -5*f + 5*m + 990. Find the second derivative of 166*c + 22*c**3 + 21*c**3 - 2*c**2 - f*c wrt c. 258*c - 4 Suppose -4*x = -3*l - 1, 7*x - 5*l = 2*x. Let m be x/1 + 1 + 2. What is the third derivative of -39*v**2 + 1 + 35*v**2 - 1 - m*v**4 wrt v? -96*v Let n(a) be the second derivative of -72*a + 0*a**3 - 61/4*a**4 + 0*a**2 + 253/20*a**5 + 0. What is the third derivative of n(b) wrt b? 1518 Find the third derivative of -184*u**3 - 302*u**3 - 103 + 138*u**3 - u**2 - 36 wrt u. -2088 Let h(c) be the third derivative of 93*c**7/5 + 1135*c**3/2 - 2*c**2 + 4535. Find the first derivative of h(f) wrt f. 15624*f**3 Let r(g) = 107 + 45*g - 26*g - 19*g - 12*g - 17*g. Let c(o) = 2. Let d(y) = -4*c(y) - r(y). What is the first derivative of d(p) wrt p? 29 Suppose -5*o = -287 + 272. What is the derivative of -46*f**2 - 33*f**2 + 2*f**o + 27*f**2 + 1 + 2 wrt f? 6*f**2 - 104*f Let l(g) = -120*g**3 + 3*g**2 - 4. Let f(z) = -4*z**2 + z**3 + 1 - 6 + 3*z**2 + 4. Let t(b) = 4*f(b) - l(b). Find the third derivative of t(o) wrt o. 744 Let w(q) = -3*q + 32. Let l be w(10). What is the first derivative of -2 + 2 - 10*v**2 - l + 31*v + 9*v**2 wrt v? -2*v + 31 Let p(w) be the first derivative of 2069*w**2 + 3873*w + 4410. Find the first derivative of p(c) wrt c. 4138 What is the third derivative of 1091*f**5 - 173*f**2 - 688 + 683 + 1181*f**5 + 0*f**3 + 2*f + 0*f**3 wrt f? 136320*f**2 Let v = 29 - 33. Let c be (v/3)/4 + 96/18. Differentiate c - 2 - 4*g**3 - 15*g**3 with respect to g. -57*g**2 Let c(a) be the first derivative of 98 + 29*a - 4*a**4 + 2/3*a**3 - a**2. What is the second derivative of c(o) wrt o? -96*o + 4 What is the second derivative of -138*s + 73*s + 56 - 52 - 1023*s**4 wrt s? -12276*s**2 Suppose 0 = -3*d - n + 72, 3*d + 5*n - 25 = 47. Let l be (d/18)/(2/51). Find the second derivative of 92 + l*o - 36*o**3 - 92 wrt o. -216*o Let f(w) be the third derivative of -1257*w**4/4 - 805*w**3/2 + 5*w**2 + 928*w. Find the first derivative of f(h) wrt h. -7542 Let f(t) be the third derivative of -125*t**9/504 + 821*t**5/60 - 10*t**2 + 30*t + 2. Find the third derivative of f(k) wrt k. -15000*k**3 Suppose 0 = -4*i, -b + i = 20 - 22. Find the second derivative of -3*l + b*l - 3*l + 15*l + 40*l - 221*l**4 wrt l. -2652*l**2 Suppose -31 = -5*h - 6. Let f(u) = -h - 6 - 1 - 3*u. Let i(x) = 65*x + 265. Let t(z) = 45*f(z) + 2*i(z). Differentiate t(o) wrt o. -5 Find the first derivative of 61*u - 37544*u**2 + 399*u + 560 + 37536*u**2 wrt u. -16*u + 460 Let j(x) be
{ "pile_set_name": "DM Mathematics" }
*r, 7*r = 4*t + 5*r - 298. Calculate the highest common divisor of 16 and t. 8 Let j(p) = p**2 + 251*p - 4553. Let a be j(17). Suppose -2*t = -7*t + 75. Calculate the greatest common factor of t and a. 3 Let x be (-10)/(4/(-42)*1). Suppose 4*v + 2*a - 83 - 5 = 0, 29 = v + 4*a. What is the highest common factor of x and v? 21 Let x be 16 + -3 + -8 - (-1385 + 4). What is the greatest common factor of 28 and x? 14 Let w = -576 + 696. Calculate the highest common factor of 45 and w. 15 Suppose -9*k = -0*k. Let u(o) = 2*o**3 - o**2 + 40. Let y be u(k). Calculate the greatest common divisor of 140 and y. 20 Let l be (-26)/(1/(-2)*52/195). Calculate the greatest common factor of 39 and l. 39 Suppose 97 = 5*q - 8. Suppose -630 = 396*p - 402*p. Calculate the greatest common factor of q and p. 21 Suppose 3*w - i = 83 + 147, -2*w + 2*i + 148 = 0. Calculate the greatest common divisor of 130 and w. 26 Let r(l) = -195*l + 1360. Let x be r(6). Calculate the highest common factor of 2375 and x. 95 Suppose 5*t - 625 = -5*d, -d - 299 - 176 = -4*t. Let p = 98 - 83. What is the greatest common factor of t and p? 15 Suppose -45 = -6*c - 15. Suppose -2*d - 17 = -4*b + 3, c*b = -5*d + 55. Calculate the greatest common divisor of 28 and b. 7 Suppose 5*p + 2*n - 1021 = 1396, 5*n + 961 = 2*p. Calculate the highest common divisor of 345 and p. 69 Let a be 6/(-2 - -5) + 54. Let r = a + -31. What is the highest common factor of 175 and r? 25 Let d = 22 + -11. Let v = 18 - 16. Suppose -t - 2 = 0, -3*y - v*t + 371 = -6*t. What is the highest common divisor of d and y? 11 Let m(r) = r**3 - 2*r**2 + r + 42. Let u be m(0). Calculate the highest common factor of 6 and u. 6 Suppose d + 0*d = g - 31, d + 5 = 0. Let m = -72 + 102. Suppose g*p - m = 21*p. Calculate the greatest common divisor of 42 and p. 6 Let u be (-2)/13 + 6/39. Suppose 2*d - 622 = -u*d. Suppose 0 = -3*f + 9, -3*f = -4*c + d. Calculate the greatest common factor of 16 and c. 16 Suppose 0 = 4*y + 3*k - 361, -7*y - 5*k + 450 = -2*y. Calculate the highest common factor of 7 and y. 7 Let g be (-382)/(-8) - (-4)/16. Suppose -q - q = -g. Let t(f) = f**2 - 4*f + 4. Let j be t(6). Calculate the highest common divisor of q and j. 8 Suppose -5*k - 44 = -2*o, -3*k - 5 + 53 = 5*o. Let v(i) = i + 14. Let z be v(o). Let u be ((-10)/4)/((-13)/z). Calculate the highest common factor of 55 and u. 5 Let t(r) = 2*r + 16. Let f be t(-7). Suppose -4*y + 348 = 2*i, i + 0 = -f. Let o be (-5)/(-2*2/y). Calculate the highest common factor of 10 and o. 10 Let m be (4 - 6) + (1*78)/(-1). Let c = m + 272. What is the greatest common divisor of 24 and c? 24 Let t(z) = 9*z - 1. Let u be t(3). Let x(s) = -s + 15. Let a be x(12). Suppose -2574 = -8*r - a*r. What is the greatest common factor of u and r? 26 Suppose 2*v - 3 = v. Suppose 4*w - 25 = -y, -3*y + 77 = v*w + 20. What is the highest common factor of 187 and y? 17 Let y = 621 - 373. What is the highest common factor of y and 8? 8 Suppose 5*i - 5*r + 8 - 3 = 0, 2*i + 4*r + 8 = 0. Let n be -1*22/i + -3. Let l be ((-10)/15)/((-1)/30). What is the highest common divisor of l and n? 4 Let w be ((170/4)/(-5))/((-2)/84). Calculate the highest common divisor of w and 408. 51 Suppose 145 + 244 = 19*d + 180. Suppose 2*h = -3*h - 2*y + 613, 2*h = -2*y + 250. Calculate the greatest common divisor of h and d. 11 Let c = -235 - -256. Calculate the greatest common factor of 987 and c. 21 Let s = 25 + -50. Let m be (-49)/(-2) + (-4)/(-8). Let f = m - s. What is the greatest common factor of 10 and f? 10 Let w = -367 + 94. Let l = w + 436. Let r be l/3 - 8/(-12). What is the greatest common divisor of 22 and r? 11 Let d(p) = 12*p - 166. Let o be d(14). What is the greatest common divisor of o and 30? 2 Let d(x) = 5*x**2 - x - 6. Suppose -4*l - 3*k + 15 = -1, 9 = -l - 4*k. Let j = -9 + l. Let c be d(j). Calculate the greatest common factor of 80 and c. 16 Let p be 6/(-8)*6/9*-10. Calculate the highest common divisor of 25 and p. 5 Let k = 9 - 9. Suppose 2*v - g - 9 = k, -g = -v - 0*g + 4. Let h be 13 + v/((-10)/6). Calculate the highest common factor of h and 30. 10 Suppose -483 = -27*v + 20*v. What is the highest common factor of 3 and v? 3 Let w(a) = -a**2 - 18*a + 10. Let t be w(-13). Suppose -2*x = 2*h - 3*h + 36, -3*x - t = -2*h. What is the greatest common divisor of h and 6? 6 Suppose -4*z + 3*h = -0*h + 98, 4*h = -3*z - 86. Let v = -11 - z. Let i = -746 - -821. Calculate the highest common factor of i and v. 15 Suppose 10*p - 3605 = -85. Calculate the highest common factor of p and 11. 11 Let h = 1133 + -1049. Calculate the highest common factor of h and 308. 28 Let i be 9 + (1/4)/(7/(-28)). Suppose -2*j + i = 0, -l + j = 4*l - 426. What is the greatest common divisor of 43 and l? 43 Let x be (-2)/(-8) - (-162)/24. Suppose 2*z = -5*m + 282, 3*m - 2*z - 38 = 128. What is the greatest common divisor of x and m? 7 Let d = 1241 + -1231. What is the greatest common divisor of 545 and d? 5 Let h = 96 + -91. Suppose h*x - 3*x - 4*i = 40, 4*x = -5*i + 28. What is the greatest common factor of x and 6? 6 Let d(u) = u**2 - 9*u + 10. Let t be d(8). Suppose 2600 = 7*x - t*x. Suppose -7*l = -12*l + x. Calculate the highest common factor of l and 13. 13 Suppose -5*a + 109 = t - 291, 5*a - 2*t - 385 = 0. Suppose a = 4*l + 23. What is the highest common divisor of l and 140? 14 Let s(h) = -h**3 + 7*h**2 + 6*h - 33. Let n be s(7). Calculate the greatest common divisor of n and 333. 9 Suppose 185 = 8*y - 55. What is the highest common factor of 1350 and y? 30 Suppose 2*v + 51 = -3*k + 274, -k + 3*v = -78. What is the greatest common factor of 125 and k? 25 Let z be 26/6 - 78/234. Let s(o) = o**2 + 2*o - 5. Let v be ((-10)/(-2))/(-3 - -2). Let j be s(v). What is the highest common divisor of z and j? 2 Let x be (-9)/(-72) - (78/(-16) + 1). Let m(s) = -2*s - 2. Let t be m(-15). Calculate the highest common divisor of x and t. 4 Suppose 0 = 5*z - 3*h + 4*h - 725, 2*h = 0. Let l = z - 33. Calculate the highest common divisor of l and 14. 14 Let v(w) = 2*w**3 - 2*w**2 - 6*w + 5. Let p be v(3). Suppose 4*b + p = 87. Calculate the highest common factor of 24 and b. 8 Let l be (-1069)/((-3)/(-6) + -1). Suppose -1421 = -2*t + r, -2*t - t + l = 5*r. Suppose -5*d = -t - 9. What is the highest common factor of d and 16? 16 Suppose -2*u - d = -35, -4*u = 3*d - 76 + 9. What is the greatest common factor of 133 and u? 19 Let h(r) = -8*r**2 + r + 3. Let t(j) = 9*j**2 - 3. Let z(s) = -6*h(s) - 4*t(s). Let n be z(-1). Calculate the highest common divisor of 132 and n. 12 Let t = 14 + 0. Let k = t - 9. Suppose 0 = 3*w - 5*r + 22, -2*w - 13 = -2*r - k. What is the greatest common divisor of 2 and w? 1 Let x be ((-6192)/301)/((-3)/70). What is the highest common factor of 15 and x? 15 Let t be 4/(-5) + -16494*1/(-30). What is the highest common divisor of 9 and t? 9 Let c(g) = 2*g**3 + 19*g**2 - 18*g - 4. Let n be c(-10). Calculate the greatest common divisor of n and 36. 4 Suppose -5*z = -79 - 1651. Let k = z + -186. What is the highest common divisor of k and 64? 32 Suppose 8 + 27 = -5*q. Let l = -3 - q. Let p = 16 + 4. Calculate the highest common divisor of l and p. 4 Let j(o) = 33*o**2 - 1. Let v be j(1). Suppose 28 = -4*m, -60*y = -62*y - m + 41. What is the greatest common factor of v and y? 8 Suppose -4*m + 12 = 2*m. Let g be (-1)/2 - (-15)/2. Suppose 0*t - 5*f + g = -t, -f = -m. Calculate the highest common divisor of 6 and t. 3 Suppose -3*v - 4 = q - 24, 0 = -4*v + 3*q + 44. Let h = 0 - -2. Suppose -h*j + 120 = j. Calculate the highest common factor of j and v. 8 Suppose -i + 72 = 2*g, -2*g - 5*i + 3*i + 72 = 0. Let f be (-119)/(-9) - 8/g. What is the highest common factor of f and 91? 13 Let x = -2016 + 3385. What is the highest common divisor of 37 and x? 37 Let o = 60 - 101. Let w = -25 - o. Let a be 5/(-15) + (-13)/(-3). Calculate the greatest common divisor of a and w. 4 Suppose 9*p = -0*p + 576. Let v(j) = 2*j + 8. Let z be v(4). What is the greatest common factor of z and p? 16 Suppose -70 = -5*k - 5*b, -17*k + 28 = -15*k - b. Calculate the highest common factor of 1162 and k. 14 Suppose -152 = -4*w + 100. Let p = w - 25. What is the highest common factor of 95 and p? 19 Suppose d + 14 = -4*h - 26, -59 = 2*d + h
{ "pile_set_name": "DM Mathematics" }
. Suppose -4*l - 2*r = 2*r - 88, -l + 5*r + m = 0. Solve 0 = 3*t + 2*t - l for t. 4 Let s = 0 + 9. Suppose -3 = s*x - 10*x. Solve -4*b + 1 = -x for b. 1 Suppose -5*h - 44 = -16*h. Solve 2*b - 6 = h for b. 5 Let x(f) = 3*f - 2. Let s be x(2). Suppose 4*t + 2*q + 14 = 0, -9 = -3*t + s*q - 36. Let b = 10 + t. Solve 7 + 3 = -b*c for c. -2 Suppose -3*c - 46 = 2. Let n = -16 - c. Solve n*p - 10 = 2*p for p. -5 Let o(t) = -2*t - 16. Let b be o(-8). Solve -x + b*x = -5 for x. 5 Suppose -25 = 4*v - 9*v. Let o be 2/(3/15 + 0). Let h = 15 - o. Solve h = v*m - 5 for m. 2 Suppose -4*b - 9 = 11. Let n(f) = -f**3 - 3*f**2 + 4*f + 6. Let u be n(b). Let i be 100/u - 4/(-18). Solve a = 4*a + i for a. -1 Let b(w) = -4*w + 4*w + 5*w + 4 + w**2 + w**2. Let j be b(-2). Solve 2*i = j - 0 for i. 1 Suppose -2*i = -7*i - 8*i. Suppose x - 14 = -x. Solve i = -3*d - x - 8 for d. -5 Let f(v) = -v**2 - 7*v - 6. Let r be f(-4). Let u be 1/r - (-62)/(-12). Let t be u/(-25) + (-1)/5. Solve t = -2*k - 4 + 2 for k. -1 Let l(b) be the first derivative of b**3/3 - 4*b**2 + b - 1. Let h be l(8). Suppose 3*j + h = 10. Solve -n - 4 = j*n for n. -1 Let f(z) = z**2 - 4*z + 3. Let b be f(7). Suppose -4*h + 2*v + 12 = v, 5*h + v - b = 0. Suppose 2 = -0*g + 2*g. Solve -g = -3*u + h*u for u. -1 Suppose -2*m + 3*m - 4 = 0. Solve -f = -m - 1 for f. 5 Let g = 88 - 85. Solve -5 = -4*v + g*v for v. 5 Suppose 5*r = 3*c + 6, c + 4*r = 6*c + 10. Let s = c - -8. Suppose 0 = l + 1, -2*g + l + 6 = -l. Solve -g*f + s = f for f. 2 Let r = -6 + 10. Let h = 61 - 88. Let u be 3*6/h*-3. Solve 0 = -u*t + r - 14 for t. -5 Let j(g) = -g + 4. Let m be j(0). Let i = -2 + m. Suppose u + i*u = 2*w + 22, -3*u - 3*w - 3 = 0. Solve 2 = 2*a - u for a. 3 Let x(m) = m**3 + 2*m**2 + 2*m + 1. Let n be x(-1). Suppose 4*r - r - 6 = n. Solve -r*s + 1 = 7 for s. -3 Suppose 0 = d - 6 - 1. Solve 2*t - 1 = d for t. 4 Suppose -2*v - 5 = -37. Solve -t = 3*t - v for t. 4 Suppose -1 = -y + 4. Suppose -w - 11 = -2*i, -w = 4*w + y. Suppose 5*z - 75 = -i*o, 0 = -2*z + 3*o + 2*o + 37. Solve 0*k = -4*k + z for k. 4 Let x(j) = -5 - 6 + 2 + 4 + j. Let f be x(7). Solve -f*u - 3*u = 25 for u. -5 Let x(z) = -z**3 - 19*z**2 + z + 22. Let j be x(-19). Solve -j*y - y = 0 for y. 0 Let y(f) = f. Let d be y(2). Solve -6*w = -d*w + 16 for w. -4 Let l(y) = -y + 9. Let q be l(7). Solve -q*k = 2*k for k. 0 Let p be 84/20 - (-1)/(-5). Suppose -j - 3*n + p = n, 0 = 5*n + 5. Let b be (j/(-5))/(4/(-30)). Solve 0 = -4*a - 4 - b for a. -4 Suppose 0 = 7*d - 9*d + 26. Solve 5*i = -7 - d for i. -4 Let n(c) = -c - 2. Let u be n(-4). Suppose -l + 15 = u*l. Let v be (105/(-6))/l*-4. Solve 5*p = -6 - v for p. -4 Let r be -3 + (-1 - 0) + 3. Let k be -2 + r - (-3 - 8). Solve -2 + k = 2*y for y. 3 Let o(d) = -d**3 + 12*d**2 + 12*d + 15. Let y be o(13). Solve -3*s = -y*s + 1 for s. -1 Let v be 6*(-3)/(-9)*2. Solve -2*k + v = 2 for k. 1 Let q(h) = 2*h - 13. Let n be q(8). Solve 8 = -n*r - 4 for r. -4 Suppose 2*s = -3 + 7, -44 = -3*t - s. Let b be 2/9 + (-94)/18. Let w = t + b. Solve 4*a = a + w for a. 3 Suppose 0 = y, -2*y - 60 = 2*d + 3*d. Let a be (-4)/d - 23/(-3). Solve a*c = 3*c + 10 for c. 2 Suppose -t + 7 = 4*k, -4*t - 5*k = 5 - 22. Solve t - 7 = 4*h for h. -1 Suppose 4*j + 5*u - 1 = j, 4*u = j + 11. Let c be (-6 - (-6 - j))/(-1). Solve 4*y - c = 5 for y. 2 Suppose 4*d + 5*m = 22, d - m = -5*m + 11. Let v = 2 + -2. Suppose -5*j = 3*h - 19, -2*h + v*h - j + 8 = 0. Solve 2*k = h*k - d for k. 3 Suppose 0 = -2*r + 6*r. Suppose 7 = -v + 3. Let f be 3/(-6)*(-2 + v). Solve n - f*n + 2 = r for n. 1 Suppose q = -2*p + 20, 0 = -4*p - 0*p + 4*q + 16. Let a(y) = 4*y + 8. Let u be a(-7). Let g = u - -37. Solve g + p = 5*k for k. 5 Let o = 8 + -6. Suppose -f = 3*h - 5*h - 8, 2*f - h = 7. Solve 4 = f*y - o for y. 3 Let w be (3/(-4))/((-9)/36). Solve 1 = w*c - 2*c for c. 1 Suppose -2*m - 20 = -7*m. Solve m*w = -16 + 4 for w. -3 Let c(w) = 3*w**2 + w + 2. Let y be c(-1). Solve 2*m - y + 0 = 0 for m. 2 Let b(s) = -4*s**2 - 4*s. Let a be b(-3). Let z be (-6)/10 - a/15. Solve -2*q - 9 + z = 0 for q. -4 Let b be 1 - 1/(3/(-3)). Let q be 4 - (-3 + b) - 2. Solve 2*m + 5 = q for m. -1 Suppose -5 = -4*q + 27. Solve 0 = -10*t + q*t - 2 for t. -1 Let q(h) = -h + 3. Let z(a) = a - 4. Let n(d) = 3*q(d) + 2*z(d). Let t be n(1). Suppose t*v + 8 = 4*v. Solve -v = -2*f + 8 for f. 5 Suppose -30 = -v - 5*v. Solve -v + 0 = -m for m. 5 Let j(i) = i**2 - 12*i + 22. Let d be j(10). Solve -a - 3 = d*a for a. -1 Let d(r) = -r**2 + 4*r + 5. Let u be d(4). Suppose -40 = -3*y - u*q, 2*q + 16 = 5*y + 1. Solve 3*f + 11 = y for f. -2 Suppose -5*o - 24 = 1. Let j = 7 + o. Suppose -3*x - p - 5 = 0, 15 = -4*x - 5*p - 10. Solve -j*n + x*n - 6 = 0 for n. -3 Suppose 7*n + 40 = 2*n. Let i be -2 + 4 - (7 + 1). Let z = i - n. Solve -v - z = -2*v for v. 2 Let p = 9 - 4. Let r(z) = -2*z + 1. Let n be r(-6). Suppose p*q + 3*j = 30, -j - 11 = -4*q + n. Solve -3*x = -x - q for x. 3 Let q = 6 - 4. Suppose 0 = -5*t - 2*c, -25 = -c - 4*c. Let y = 4 + t. Solve 0 = y*o + q*o for o. 0 Let a = -1 + 1. Let z(s) = -s**3 - 3*s**2 - s - 5. Let p be z(5). Let m be p/(-51) - (-2)/(-17). Solve m*q - 13 - 7 = a for q. 5 Suppose 0 = -6*n + 3*n. Suppose -g = 5*d + 2 + 1, 0 = 2*g - 4*d + 6. Let j be (g - n)*1/(-3). Solve -c + 2 = j for c. 1 Let p(a) = 3*a**2 + 2*a - 2. Let s be p(-2). Suppose -s = 5*r - 31. Solve k + r = 6*k for k. 1 Let a = 14 - 11. Solve a*j = -j for j. 0 Suppose -h - 7*w + 12 = -3*w, -w + 3 = -3*h. Let p = 14 - -1. Solve -5*f = -h*f + p for f. -3 Let p(a) = -a**3 - 11*a**2 + 11*a - 7. Let v be p(-12). Let g be (-1)/(10/(-6) - -2). Let h = g + v. Solve 0 = -h*d - d for d. 0 Suppose m = 4, 0*m - 12 = 2*i - 4*m. Let y = i - -2. Solve y = 2*j - 4 for j. 4 Let q = -27 + 25. Let i be (-1 - q)*(-2 + 2). Solve 5*x + 1 - 16 = i for x. 3 Suppose 0*g - 4*g = -16. Suppose 0 = -m + g*m. Solve m*o - 2 = -o for o. 2 Let o be 3/18 + (-13)/6. Let a(v) = -v**3 + 3*v + 1. Let i be a(o). Suppose 0*b + 5*b + 1 = -u, 0 = -2*u - 5*b + 8. Solve 6 + u = i*t for t. 5 Let f(h) = -2*h + 3*h**3 + 0*h**3 - 1 + 3*h + h**3. Let c be f(1). Solve c - 8 = 2*k for k. -2 Let y(p) = -p**3 + 4*p**2 + 2*p - 4. Let m be y(2). Solve -3*o = -5*o - m for o. -4 Let w(o) = -2*o**2 - 17*o - 25. Let d be w(-6). Solve 0 = 4*t - d*t + 3 for t. 3 Suppose -4 = -5*m + m. Solve 0 = -2*d - m - 3 for d. -2 Let q(w) = 0*w - w**2 + 2*w - 5 + 2*w + 11. Let c be q(5). Suppose -n + 2 = c. Solve 0 = 5*l + 11 - n for l. -2 Let b(v) = v - 5. Let y be b(4). Let u be (y*16 + 2)*-2. Let n = 29 - 21. Solve n - u = -5*p for p. 4 Let q = -201 + 204. Solve -5 = 2*a + q*a for a. -1 Let t = 7 + -2. Suppose h + 3*q = -2 + 14, h = 3*q - 6. Solve 0 = t*w - h*w - 4 for w. 2 Suppose -15*b + 18*b = 36. Solve -2*c + 4 = b for c. -4 Suppose 0*f - 2*f - 4*k - 6 = 0, -4*f = -k - 15. Suppose -48 = -4*p - 4*m, 3*m = f*p - m - 50. Let x be ((-24)/p)/((-3)/21). Solve -5*u = x + 3 for u. -3 Let n(l) = l**3 + l**2 - l + 1. Let f be n(-2). Let r = f + 4. Let m = 2 + -1. Solve -h + r + m = 0 for h. 4 Suppose 0*w + 3*w = 6*w. Solve w*a = -5*a - 20 for a. -4 Suppose 14 = 3*z + 2. Suppose -3*i = -z*i. Solve i = 4*o - 19 + 3 for o. 4 Let r(s) = -s**3 - 11*s**2 - 3*s - 8. Let o be r(-11). Solve 5*j - o = -0*j for j. 5 Let m = -74 - -74. Solve -4*u + m*u - 20 = 0 for u. -5 Let x(h) = -h**2 - 6*h - 2. Let d be x(-4). Let i be ((-9)/d)/((-2)/(-4)). Let j(f) = -f + 2. Let t be j(i). Solve -t*q - 8 = -33 for q. 5 Suppose 12 = -0*s - 3*s. Let f be (-12)/s - 3/3. Solve -f + 4 = -w for w. -2 Suppose 4 = 3*q + 1. Suppose -4*c - 16 = -0. Let n be -2 - (c + 0 + q). Solve -17 + n = -4*j for j. 4 Suppose -2*p = 5*u - 20, -2*p - 4*u = -u - 20. Solve -13*w = -p*w + 6 for w. -2 Suppose -w = -0*w - 6. Let s(c) = 2 - 5 + 2*c - 1. Let i be s(3). Solve 2*z + i = -w for z. -4 Let t(b) = 2*b - 4. Let q be t(3). Let l(p) be the second derivative of p**5/20 - p**4/12 + p**3/6 + 2*p. Let d be l(0). Solve -q*k + 15 - 5 = d for k. 5 Suppose 0 = 13*q - 10*q. Let i(p) = -p**3 + 6*p**2 + 2. Let g be i(6). Solve q*n - g*n = 6 for n. -3 Let x(n) = -n**2 + 6*n + 10. Let y be x(7). Suppose d - 1 = 1. Suppose -5*p + 40 = -0*l + l, 0 = d*p + 4*l + 2. Solve p = -y*v - 0*v for v. -3 Let h = -4 + 4. Let k(i) = -i + 5. Let z be k(h). Solve 5*y - z =
{ "pile_set_name": "DM Mathematics" }
he prime factors of d(0)? 3, 5, 7 Suppose 0 = -4*b + 2*j + 28, 4*j = -2*b + j - 2. Suppose -b*q + 0 + 20 = 0. Suppose 4*m = -0*t + 2*t - q, -3*m = 3*t - 42. List the prime factors of t. 2, 5 Let v(d) = d**3 - 3*d**2 + 2*d - 5. Let f be (1 + -3)/(-2) + 3. List the prime factors of v(f). 19 Suppose -3*l + 1347 = 5*x, 7*x - 2*l - 1352 = 2*x. Suppose 5*y - x = 5*w, -w = 3*y + w - 187. List the prime factors of y. 59 Let r be 2/6*(-2 + 2). Suppose 0*n - 4*n + 148 = r. Suppose -5*z = -4*s - 110, -3*s - 14 - n = -2*z. What are the prime factors of z? 2, 3 Let m(i) = i**3 + 6*i**2 - 5*i + 10. List the prime factors of m(-6). 2, 5 Let c = -89 - -139. List the prime factors of c. 2, 5 Let u(n) = -n**3 + 13*n**2 + n - 11. Let k be u(13). Let o = -4 - -3. List the prime factors of -2*5*o/k. 5 Let w(x) = -x**2 + 3. What are the prime factors of w(0)? 3 Let s(k) = k**3 - 12*k**2 + 17*k - 14. List the prime factors of s(11). 2, 13 What are the prime factors of 15 + (-1 - (-3 + 1))? 2 Suppose 3*y - y = c - 24, 0 = -3*y - 12. Let n be (-90)/(-8) - 4/c. Let j = n - 0. List the prime factors of j. 11 Let r(a) = a**3 + 14*a**2 - 2*a - 21. What are the prime factors of r(-12)? 3, 97 Let x(d) = -d - 3. Let f be x(-5). Suppose -2*s - f = 2. List the prime factors of (s/4)/((-2)/40). 2, 5 What are the prime factors of (-42)/((-3)/(-4 - -7))? 2, 3, 7 Let z(f) be the second derivative of 5*f**3/3 - 3*f**2/2 + 3*f. What are the prime factors of z(2)? 17 Let w(i) = 4*i**3 - 4*i**2 + 4*i - 2. List the prime factors of w(2). 2, 11 Suppose 4*q + 5*n = 102, 4*q - 5*n = q + 59. What are the prime factors of q? 23 Suppose 0*i + 2*i = 2. Let r be -2 - (0 + i + -2). What are the prime factors of 16 + (-4)/(-3 - r)? 2, 3 Suppose -4*t - 1 = -3*t. Let o = -1 - t. Suppose o = -j - 4 + 16. List the prime factors of j. 2, 3 Let r be 2/8 - 45/(-12). Suppose r*a + 26 = 106. List the prime factors of a. 2, 5 Let d be 1*(0/2 - 1). List the prime factors of 18 + (-5 - -2) - d. 2 Let x(a) = -a**3 - 4*a**2 + 4*a - 4. Let r be (-1 + 6)*(-3 - -2). Let h be x(r). Suppose 0 = 2*y + 3 - h, 4*t - y = 13. List the prime factors of t. 3 Suppose 38 = 2*s + 22. List the prime factors of s. 2 Let j(d) = d**2 + 4*d - 8. What are the prime factors of j(-6)? 2 Suppose 0 = -16*a + 20*a - 180. What are the prime factors of a? 3, 5 Let x(b) = 4*b**3 + 1. Let n = -2 - 0. Let h be x(n). Let g = 52 + h. List the prime factors of g. 3, 7 Suppose 3*l + 2*o - 98 = 0, 0 = -3*l + 5*o + 82 + 30. Let u = l - 13. What are the prime factors of u? 3, 7 Let u(t) be the second derivative of t**4/6 - t**2 + 4*t. List the prime factors of u(4). 2, 3, 5 Let u = 21 - 7. Suppose -4*j = 5*d - 17 - 10, 2*j - 3*d - 19 = 0. Let q = u - j. List the prime factors of q. 2, 3 Suppose -3*f = -2*q - 0*f, -5*q = 4*f. Let y = 13 + q. Let h = y - 9. List the prime factors of h. 2 Suppose 0 - 48 = -3*s. Suppose 2*z = 8 + s. What are the prime factors of z? 2, 3 Suppose -2*c + 2*j = 8, 2*j = c - 0*c + 7. List the prime factors of (1 - 2*3)/c. 5 Suppose -4*f = -2*j - 8 - 106, 3*j - f = -196. Let s = -47 - j. Suppose -q + 4 = z, -2*q + s = 2*q + 2*z. List the prime factors of q. 2, 3 Let i(o) = 21*o**2 - 1. Let b be i(1). Suppose 0 = 5*w + b, -2*l + 4*w = -l - 6. Let r = -3 - l. List the prime factors of r. 7 Let b = 9 - 8. Let q = 15 - b. What are the prime factors of q? 2, 7 Let d(w) = -w**3 + 12*w**2 - 11*w + 6. Let k(n) = -n**2 - 4 + 2*n + 2*n + 4*n. Let x be k(5). List the prime factors of d(x). 2, 3 Let h(y) = -y**3 + 4*y**2 - y - 4. Let a be h(3). Let i be ((-20)/a)/(6/(-3)). Suppose w - 13 = -4*l + l, -13 = 2*l + i*w. List the prime factors of l. 2, 3 Let h(b) = b**2 - 10*b + 13. Suppose 0*x = x - 9. What are the prime factors of h(x)? 2 What are the prime factors of 112/5 - 21/(-35)? 23 Let k(g) = 49*g + 1. Let o be k(-1). Let h = -15 - o. What are the prime factors of h? 3, 11 Suppose -8*h - 4*a = -3*h - 1, 0 = h + a. Suppose -2*y - 2 = -10. Let w = h + y. What are the prime factors of w? 5 Let y(n) be the first derivative of n**3/3 - n**2/2 + 10*n + 2. Let w(p) = p**3 - p**2. Let i be w(1). What are the prime factors of y(i)? 2, 5 Let g be 8*(1 + (-12)/16). Suppose l = -4*l + 40. Let r = l - g. What are the prime factors of r? 2, 3 Let s = -13 + 21. Suppose 0 = -l - 4*f - 11 - 2, 0 = -5*l - f - s. List the prime factors of (-15 + 2)*(0 + l). 13 Let a(n) = 2*n**2 + 5*n + 2. Let s be a(-3). Let y(c) = 5 + 0 + 5*c + 1 + c**3 - 6*c**2. What are the prime factors of y(s)? 2, 3 Let d(f) = 4 - f**2 - f - 6*f + 3*f**2. What are the prime factors of d(4)? 2 Let i be (2/5)/((-3)/(-180)). Suppose 2*c + 2*c - i = -4*u, 3*u = -c + 12. Suppose 0 = u*x - x - 10. What are the prime factors of x? 5 Let m be ((-5)/(-5))/(2/12). Let q be (m/(-15))/(2/(-10)). What are the prime factors of (-15)/q*6/(-5)? 3 What are the prime factors of 2 - -1 - (-2 - 145)? 2, 3, 5 Suppose 0 = -2*i + 4*i - 10. Suppose 0*n + 3*n = -15, 4*q - 37 = i*n. Suppose -q*o = -18 - 12. List the prime factors of o. 2, 5 Let n be (-55)/10 + 1/2. Let k = 5 + n. Suppose 5*o + 3*i = 34, 0 = -k*o + 3*o - 5*i - 34. What are the prime factors of o? 2 What are the prime factors of 2/1 - 819/(-13)? 5, 13 Let a(h) = h + 19. Let s(j) = j**3 + 2. Let k be s(2). List the prime factors of a(k). 29 Suppose 0 = z - 0*k - 2*k + 2, -4*z + 2*k = 2. Suppose z = o + 1 - 9. What are the prime factors of o? 2 List the prime factors of (-6)/((-6)/2) - (5 + -407). 2, 101 List the prime factors of ((-2)/8)/(9/(-1692)). 47 Let c(r) = 2*r**3 - 5*r**2 - 5*r + 5. What are the prime factors of c(4)? 3, 11 Let r be 3*(5/3 - 2). List the prime factors of -5 + 4 + r - -13. 11 Let t(c) = -c**2 + c - 1. Let d(u) = -6*u**2 - u - 3. Let y(n) = -d(n) + 5*t(n). List the prime factors of y(-7). 5 Suppose -4 = -4*m - 40. Let b(a) = 2 + 5*a - a + 4*a + a**2. List the prime factors of b(m). 11 Let d(w) = -w**3 - 2*w**2 + 3*w + 2. Let f be d(-3). Suppose -3*o - 25 = -5*g, -f*g + 47 = 2*g + 3*o. What are the prime factors of g? 2 Suppose -4*j + 185 = j + 2*w, 0 = -3*j - 5*w + 92. List the prime factors of j. 3, 13 Let c be -4*(1 + 22/4). Let z = c + 39. What are the prime factors of z? 13 Suppose -3*x = -2*g - 103, 0 = -3*x + 5*x - 4*g - 82. What are the prime factors of x? 31 Suppose -60 = -4*l - l. Suppose 4*f - 55 = -5*q + l, -f - 8 = -q. List the prime factors of q. 11 Let w(k) = -3*k - 7. Let o be 29/4 + (-6)/24. Let i be (2 - 2 - o)/1. List the prime factors of w(i). 2, 7 Let a(s) be the first derivative of s**3/3 + 3*s**2/2 - 3*s - 3. What are the prime factors of a(-5)? 7 Suppose f = -3*f + 24. Suppose -c = f + 1. Let i(o) = -o + 10. What are the prime factors of i(c)? 17 Let k(f) = f**2 - f + 6. What are the prime factors of k(-5)? 2, 3 Let q be 0 + -1 + 2 + -1. Let x(u) = -2*u + 2. Let p(k) = k - 2. Let d(n) = -3*p(n) - 2*x(n). What are the prime factors of d(q)? 2 Let i(l) = l**2 - 7*l + 14. What are the prime factors of i(6)? 2 Suppose -2*k + 172 = 2*k. Suppose 0 = 4*n + l + k, -2*n + 3*l + 8 = 19. Let a = n + 20. What are the prime factors of a? 2, 5 Suppose -6*i = -2*i + 56. Let z = 5 - i. List the prime factors of z. 19 Suppose -4*q - 4*d - 5 = -45, -q + 15 = 2*d. Suppose -q*b + u + 30 = 0, -5*b - 3*u + 50 = -0*b. What are the prime factors of b? 7 Let o = 4 - 2. Suppose -b + 0 = -o. Suppose 2*g = -v + 10, -b*g + 6 = 3*v - 4*g. What are the prime factors of v? 2 Let z(t) = t**3 - 4*t**2 + 5*t - 4. Let l be z(3). Let p = 13 - l. List the prime factors of p. 11 Let v(t) = 2*t. Let l be v(1). Let m be (-5 + 2)*-1 - l. Let x = m - -1. What are the prime factors of x? 2 Let r(f) = -f - 4. Let p be r(-4). Let b = 3 + p. What are the prime factors of b? 3 Let n(b) = -b**2 - 18*b - 5. List the prime factors of n(-5). 2, 3, 5 Suppose 0 = -4*l + 6 - 2. Let d = 13 + l. What are the prime factors of d? 2, 7 Let j = 8 - 6. Let k be j/(-1) + 1 + -1. List the prime factors of k/5 - (-32)/5. 2, 3 Let n = 215 - 59. Suppose n = -0*o + 6*o. What are the prime factors of o? 2, 13 Let b(w) = w + 1. Let v(q) = -q**3 + q**2 + 8*q + 1. Let k(r) = 4*b(r) - v(r). Let a be k(2). What are the prime factors of (-1)/(a/(-4)*-1)? 2 Let y = -65 + 121. List the prime factors of y. 2, 7 Let k(m) = m**2 - 4. What are the prime factors of k(8)
{ "pile_set_name": "DM Mathematics" }
7 Suppose -2*b - 2*b + 12 = -2*m, 5*b - 2*m = 15. Suppose -3*h = 3*s - 144, -b*h = -5*s - 172 + 4. Calculate the highest common divisor of 6 and h. 3 Suppose -3*p = -46*p + 29455. Let c = p + -661. What is the greatest common divisor of c and 64? 8 Let n = 3130 + -3070. Calculate the greatest common divisor of 1740 and n. 60 Suppose 5*a + 3*h = 366, -4*a = 3*h - 4*h - 286. Let m = -53 + a. Calculate the greatest common factor of 95 and m. 19 Suppose 701 + 323 = -4*q. Let g be 1/9*-9*101*4. Let x = q - g. Calculate the greatest common factor of x and 37. 37 Let g(m) = 2*m - 9*m + 3*m + 24 + 2*m. Let u be g(-28). Let b(w) = w**3 - 5*w**2 - 4*w + 4. Let z be b(6). Calculate the highest common divisor of u and z. 16 Suppose 3*f = 4*f - 2. Suppose 2*o - 54 = -5*k, f*o - 24 = -k + 30. Suppose -6*y = -9*y + o. What is the greatest common divisor of y and 54? 9 Let l be (-882)/(-175)*-5*20/(-3). Calculate the highest common divisor of 6720 and l. 168 Let v(a) = 2*a**3 - 118*a**2 + 349*a - 222. Let b be v(56). Let q = 91 + -47. Calculate the highest common factor of q and b. 22 Suppose -14*s - 33 = -35*s + 18*s. What is the greatest common factor of 15521 and s? 11 Let w = -23663 + 34799. Calculate the highest common factor of 64 and w. 64 Let i(t) = 7 - 32 - 25*t + 54*t + 36*t. Let s be i(2). Calculate the greatest common factor of 60 and s. 15 Suppose 86074 + 84011 = 69*n. Calculate the greatest common divisor of 85 and n. 85 Let d = -10 + -14. Let v be d/(((-1)/(-2))/1). Let w = -36 - v. Calculate the highest common factor of w and 36. 12 Suppose 17 = 8*j - 287. Let p be 6232/j + (5 - 1). What is the greatest common factor of p and 48? 24 Suppose 99*a - 12611 = 10555. What is the highest common divisor of a and 3? 3 Suppose -14*d + 13*d + 12 = s, -5*d + 3*s = -60. Suppose d*j + 320 = 5*f + 7*j, 4*j - 284 = -5*f. Calculate the highest common factor of 690 and f. 30 Suppose -5*f - 4*c + 304 = 0, 1551*f = 1554*f + 4*c - 176. Calculate the greatest common divisor of f and 2528. 32 Let t(p) = 14*p**3 - 2*p**2 + 1. Let i be t(1). Suppose 7 = 4*v - i. Let c = 180 - 125. What is the greatest common factor of v and c? 5 Suppose -468 = 5*q - 14*q. Let n(v) = -2*v**2 + 34*v - 26. Let b be n(13). What is the greatest common factor of b and q? 26 Let q(i) = 8*i + 16. Let t be q(0). Suppose 0 = t*f - 12*f - 120. Suppose 114 - f = 14*g. Calculate the highest common divisor of g and 24. 6 Suppose 120*s = -97 + 457. Let j(v) = v - 8. Let n be j(0). Let x = n - -14. Calculate the greatest common factor of x and s. 3 Let a = 7 - 13. Let s(u) be the first derivative of -3*u**2 - 36. Let x be s(a). Calculate the greatest common divisor of 27 and x. 9 Let r be 3*1*6*48/96. Let y be (3/2)/(r/(-84)*-2). Suppose -3*j = -s - y, -2*s = -s - 2. Calculate the greatest common factor of 15 and j. 3 Let f be 4/7*(-5 - 23). Let y(k) = -2*k**2 - 52*k - 26. Let i be y(f). What is the greatest common divisor of i and 28? 14 Suppose -2*k + 16 = -k + 3*c, 3*k + 3*c - 24 = 0. Let r(t) = -9*t**2 - 2. Let z be r(-2). Let y = z - -54. Calculate the greatest common factor of k and y. 4 Let c be (-2)/(-3 + 74/26). Suppose 0 = 5*a - 0*a - 5. Let h(s) = 42*s - 3. Let p be h(a). What is the greatest common divisor of p and c? 13 Suppose 4*p + 0*u = 4*u + 8, -2*u = 4*p - 20. Suppose 5*w + a = 109 + 46, 5*w - p*a = 180. Let i = 39842 + -39746. What is the highest common factor of i and w? 32 Let f(y) = y**3 - 15*y**2 + 11*y + 14. Let l be f(15). Suppose -t - 28 = l. Let q be (-3)/(-7) - t/7. What is the greatest common factor of 45 and q? 15 Let g be (-2)/(0 + (-1)/55). Let f be (22*-1)/((-522)/1827). Calculate the highest common factor of f and g. 11 Let k(c) = -c**3 + 124*c**2 - 3*c - 197. Let w be k(122). What is the greatest common factor of 59 and w? 59 Suppose -5*u + 3*a - 5*a = -15, -4*u + 5*a + 12 = 0. Suppose w - u*y + 294 = 6*w, -4*y - 188 = -3*w. Calculate the greatest common divisor of 60 and w. 60 Let x(n) = n**2 - 5*n - 1. Let l be x(6). Suppose -d - l*q + 286 - 65 = 0, 4*d + 3*q = 799. Let g = -121 + d. What is the highest common factor of 30 and g? 15 Suppose 5*q - 12782 = -1337. What is the greatest common factor of 63 and q? 21 Let t(a) = a**3 + a**2 + 8*a - 6. Let n be t(5). Let u(p) = -3*p**2 - 59*p + 11164. Let w be u(-71). What is the highest common divisor of n and w? 46 Suppose 4*i + 2*l = -0*l + 278, 2*i = -3*l + 149. Let w = i + -119. Let n = w - -66. Calculate the greatest common factor of n and 98. 14 Suppose 901 = 20*i + 781. Let j be (0 + 2 + -1)*21. What is the greatest common divisor of i and j? 3 Let h = -2918 - -3079. What is the greatest common divisor of 20125 and h? 161 Let o be ((-88)/16)/(4/(-48)). Let q = 40 - 7. Calculate the greatest common divisor of o and q. 33 Suppose 4*r = -7*v + 4*v + 23655, 4*v - 31547 = -3*r. What is the greatest common factor of v and 23? 23 Let h be -1 + -1 + (-2940)/(-4 + -2). Calculate the highest common divisor of h and 56. 8 Suppose -90*g + 15587 - 3404 = -13467. Calculate the greatest common factor of 270 and g. 15 Let w be 8369 - (-8 - 2*(3/(-2) - 1)). What is the greatest common factor of 184 and w? 92 Let s be (22/(-5))/((-1)/5). Let j(i) = 1728*i**2 + 3411*i + 9. Let p be j(-2). What is the highest common divisor of s and p? 11 Let m(w) = 4*w**2 - 196*w + 256. Let p be m(48). Calculate the greatest common divisor of p and 784. 16 Let a(v) = 4*v**2 - 155*v - 355. Let p be a(95). What is the highest common divisor of 10 and p? 10 Suppose 2*x - 24 = 4*r + 72, -3*r = 0. Let t(a) = 8*a**3 + 1287*a**2 - 160*a + 221. Let z be t(-161). What is the highest common divisor of x and z? 12 Suppose 118 = c - o, -11*c - o + 572 = -6*c. Suppose -5*p + c = 2*d, 5*d - 2*d - 5*p - 135 = 0. Calculate the highest common factor of d and 25. 25 Let p = -38095 - -38128. What is the highest common divisor of p and 6050? 11 Suppose -124*j - 2*c = -119*j - 655, 3*j = -4*c + 379. What is the greatest common divisor of 49 and j? 7 Let f = -739 - -772. What is the highest common factor of 77 and f? 11 Suppose 3*d = -i + 632, 5*i = 5*d + 4093 - 993. Let x = i + -591. What is the highest common divisor of 24 and x? 8 Let i be (-13 + 690/42 + -6)/((-2)/168). What is the highest common factor of 1896 and i? 24 Let q(y) be the third derivative of -7*y**4/24 - 3*y**3/2 + y**2. Let g = -14 - -12. Let b be q(g). Calculate the greatest common divisor of 25 and b. 5 Let n be (-1)/(3 + -2 + 0) + -3. Let g(q) = -2*q**3 - 3*q**2 - 4*q + 8. Let u be g(n). What is the highest common factor of u and 91? 13 Suppose 2*t + 78 = -77 + 181. What is the highest common factor of t and 1430? 13 Suppose 0 = -6*j + 126 + 792. Let t = 168 - j. Let w be -6*2/((-12)/15). What is the highest common divisor of w and t? 15 Let l be 465*(1/((-8)/8) + 10). What is the greatest common divisor of l and 135? 135 Let k(m) = 4*m**2 - 33*m - 222. Let b be k(-10). Calculate the highest common factor of 32 and b. 4 Suppose -y - 2*o = -255, -2851 = -7*y - 5*o - 1075. Suppose 23 = 5*a - 32. What is the greatest common divisor of a and y? 11 Let h = -29127 - -29403. What is the highest common factor of 69 and h? 69 Suppose -159*b + 49142 - 2396 = 0. What is the greatest common factor of b and 1050? 42 Let l be (-76)/(-20) + 1/5. Suppose 4*o - 8 = -l*g + 380, 2*o = 3*g - 296. Suppose 134 = 23*k - 188. Calculate the highest common divisor of g and k. 14 Let b(r) = 3*r**2 + 5*r + 189. Let p be b(0). Suppose 13*j = 12*j + p. Calculate the greatest common factor of 21 and j. 21 Let p(u) = -u**3 + 7*u**2 + 7. Let s be p(11). Let a = -261 - s. What is the greatest common divisor of a and 48? 24 Suppose -3237 = -17*k + 12*k - 4*r, -2*k + 1281 = -3*r. Calculate the highest common factor of k and 387. 129 Suppose 4*x - 1982 = -2*q - 160, 2*x - 2*q = 908. Suppose 3*p + 2*c - 150 - 117 = 0, -2*p - c + 179 = 0. What is the highest common divisor of x and p? 91 Let j(a) be the first derivative of 51*a**4/4 + a**3/3 - 8*a**2 + 16*a + 285. Let s be j(1). Calculate the greatest common divisor of s and 52. 52 Let n(t) = t**2 - 93*t + 566. Let c be n(89). What is the greatest common factor of c and 450? 30 Suppose -5*c - 530 = -4140. Suppose -b + c = -155. Let t = -624 + b. What is the highest common factor o
{ "pile_set_name": "DM Mathematics" }
is the common denominator of 5/304 and 109/1596? 6384 Calculate the common denominator of 79/6568155 and -18/385. 45977085 What is the lowest common multiple of 545 and 34104? 18586680 What is the common denominator of 43/24 and -25/621060288? 621060288 What is the least common multiple of 809655 and 24952095? 274473045 Find the common denominator of -25/102664622 and -3/46364668. 1437304708 Calculate the least common multiple of 107128492 and 43452. 964156428 Find the common denominator of -47/245700 and 86/114075. 3194100 Calculate the least common multiple of 100906355 and 55039830. 605438130 Calculate the smallest common multiple of 128 and 22235920. 177887360 Calculate the lowest common multiple of 135950 and 462230. 2311150 What is the smallest common multiple of 22 and 7726116? 84987276 What is the least common multiple of 6663 and 16860? 37446060 Calculate the lowest common multiple of 23606258 and 21790392. 283275096 Calculate the common denominator of 31/44052688 and 83/534620. 220263440 Calculate the lowest common multiple of 8875698 and 13. 8875698 Find the common denominator of 13/414 and -77/27494085. 164964510 What is the least common multiple of 2543 and 439939? 439939 Calculate the lowest common multiple of 18352 and 169648. 194586256 What is the common denominator of 81/12464 and 67/168264? 336528 What is the smallest common multiple of 3151 and 19090? 2615330 What is the lowest common multiple of 12 and 55313648? 165940944 What is the common denominator of 10/345733947 and -23/76829766? 691467894 What is the lowest common multiple of 1067020 and 620? 1067020 Find the common denominator of 101/53456 and 23/225442456. 5861503856 Find the common denominator of 37/3566904 and -107/301136. 206880432 What is the smallest common multiple of 4851 and 79901745? 1677936645 What is the lowest common multiple of 13264958 and 515144? 53059832 Calculate the common denominator of 17/2793292 and 109/168. 117318264 What is the common denominator of 97/192132 and 101/7206136? 583697016 Calculate the common denominator of 19/8 and 31/324831418. 1299325672 Calculate the least common multiple of 93737708 and 8. 187475416 What is the smallest common multiple of 252 and 133881228? 937168596 What is the least common multiple of 552951 and 90? 5529510 Find the common denominator of 11/2544 and 23/3570928. 10712784 Calculate the common denominator of 67/364000 and -151/1820. 364000 Calculate the common denominator of -1/787374 and -43/126. 787374 What is the smallest common multiple of 358045 and 84371? 42607355 Calculate the common denominator of 113/72 and -91/470222. 16927992 What is the common denominator of -7/49651416 and 43/57926652? 347559912 What is the lowest common multiple of 2180190 and 780? 56684940 Find the common denominator of 97/1479528 and -145/252. 10356696 Calculate the common denominator of -45/44 and -39/1404161. 5616644 Find the common denominator of 67/6326070 and -8/111. 234064590 What is the least common multiple of 840637826 and 42? 2521913478 Calculate the common denominator of -54/104555 and 7/2906629. 14533145 Calculate the common denominator of 3/2210 and 36/482375. 12541750 What is the common denominator of 167/170551794 and -149/378? 1534966146 Calculate the common denominator of 5/63 and -51/121224761. 1091022849 What is the smallest common multiple of 38510 and 155970? 600640470 Calculate the least common multiple of 21422 and 29819424. 29819424 What is the common denominator of 37/32144 and 45/174496? 1221472 Calculate the common denominator of -221/3522750 and 16/30195. 10568250 What is the smallest common multiple of 17399316 and 4349829? 17399316 Calculate the common denominator of -107/1167858 and -35/15830964. 142478676 Calculate the common denominator of -143/48524040 and -131/1728. 1164576960 Calculate the smallest common multiple of 39874582 and 14499848. 159498328 Find the common denominator of -149/426978 and -107/1945122. 17506098 Calculate the common denominator of -93/42800 and -121/3927756. 392775600 Calculate the common denominator of 31/1542162 and 151/584958. 16963782 Find the common denominator of -61/698 and 113/23268. 8120532 Calculate the lowest common multiple of 4481760 and 128. 17927040 What is the common denominator of -3/9974 and -77/1082? 5395934 What is the common denominator of 21/16816789 and 71/6115196? 67267156 What is the smallest common multiple of 88155 and 12? 352620 Calculate the common denominator of -58/20242275 and 119/60. 80969100 Calculate the common denominator of 145/1983732 and -56/87. 57528228 What is the common denominator of 35/132963 and 143/23940? 1061044740 What is the least common multiple of 183568 and 68838? 550704 Calculate the common denominator of -46/6235715 and -14/49062135. 2600293155 Find the common denominator of 11/14297427 and 16/1588603. 14297427 Calculate the least common multiple of 49980412 and 8. 99960824 What is the least common multiple of 1706796 and 777? 63151452 What is the least common multiple of 98837900 and 140? 98837900 What is the least common multiple of 999 and 5209398? 578243178 What is the lowest common multiple of 1000280 and 1700? 5001400 What is the smallest common multiple of 2211 and 1362? 1003794 What is the common denominator of 93/52010 and 51/188722? 6605270 Calculate the common denominator of 89/12640 and 81/6478. 518240 Find the common denominator of 137/2378592 and -35/2448. 40436064 Calculate the lowest common multiple of 3848 and 384800. 384800 Calculate the common denominator of -50/854557 and 34/5. 4272785 Calculate the common denominator of 149/10365114 and -109/6. 10365114 What is the least common multiple of 1139768 and 10474? 5968965016 Calculate the smallest common multiple of 1729989 and 495. 95149395 Calculate the common denominator of -37/1743 and 68/122337. 71077797 Calculate the least common multiple of 1756116 and 744. 108879192 Find the common denominator of -109/1178044 and 76/36224853. 144899412 Calculate the smallest common multiple of 238065373 and 63. 2142588357 What is the least common multiple of 494743911 and 58518097? 5442183021 Calculate the common denominator of -77/1975392 and 67/1672. 21729312 Find the common denominator of 9/4168 and -97/3237494. 12949976 What is the common denominator of -17/280 and 1/23845060? 333830840 Calculate the least common multiple of 6791364 and 22194. 6791364 What is the common denominator of 61/83706 and 149/729438? 5106066 What is the lowest common multiple of 13884035 and 94411438? 472057190 Calculate the common denominator of 2/23697 and -115/4439238. 13317714 What is the smallest common multiple of 2534376 and 2534376? 2534376 What is the lowest common multiple of 2430990 and 3241320? 9723960 Find the common denominator of -121/37842 and -167/18768. 6962928 What is the lowest common multiple of 5 and 396478955? 396478955 What is the lowest common multiple of 1792 and 23469376? 93877504 What is the common denominator of 101/624744 and 64/111? 23115528 Calculate the common denominator of -29/61110 and 55/88949. 8005410 What is the least common multiple of 406959370 and 244175622? 1220878110 Find the common denominator of -17/42 and -37/4365060. 4365060 Calculate the least common multiple of 133824587 and 9. 1204421283 Calculate the lowest common multiple of 46092 and 836. 9633228 What is the least common multiple of 66834 and 21839787? 2052939978 Calculate the common denominator of 85/35024 and 153/3231760. 35549360 What is the least common multiple of 785025 and 18910380? 850967100 What is the least common multiple of 4500 and 491349? 737023500 What is the lowest common multiple of 18418704 and 33? 202605744 Calculate the common denominator of 97/210951000 and 157/1500. 210951000 Calculate the lowest common multiple of 7 and 25411811. 177882677 Calculate the common denominator of -57/754852 and -25/2453269. 9813076 Calculate the smallest common multiple of 10950 and 26275620. 131378100 Calculate the smallest common multiple of 5994 and 153765. 34135830 Calculate the common denominator of -58/24817269 and 56/51. 421893573 Find the common denominator of 9/11763236 and 15/49993753. 199975012 What is the common denominator of -133/6934512 and -25/18642? 165
{ "pile_set_name": "DM Mathematics" }
-a - 8 + 6 = 0. Put a, 3, 0 in descending order. 3, 0, a Suppose -3*i + 30 = 5*c + 2*i, -22 = -2*c - 4*i. Let n(w) be the first derivative of -w**3/3 - 3*w**2 + 2. Let y be n(-5). Put c, y, -3 in decreasing order. y, c, -3 Let d = 3.9 + -0.9. Sort -2/5, d, -1/7 in decreasing order. d, -1/7, -2/5 Let c = 0.3 + -0.3. Let u = 8 + -4. Let l = 11 + -14. Sort u, c, l in descending order. u, c, l Let z be (-6)/4 - (-52)/8. Suppose p = z - 3. Let n be (6/9)/(4/6). Sort 3, p, n in descending order. 3, p, n Let k be -9 - (680/(-45) - -6). Let o = -24 - -47/2. Sort -2, k, o. -2, o, k Let n(a) = a**2 - 6*a + 5. Let r be n(6). Sort r, 2, 4, -5 in decreasing order. r, 4, 2, -5 Let q = 2 - 6. Put 0, q, 4 in ascending order. q, 0, 4 Suppose -4*k + 3*i + 0*i = -24, -3*k + 5*i = -29. Let s = -4 - -2. Let l be (-2*1 + 3)*s. Sort -3, l, k. -3, l, k Let o(y) = y**3 + 27*y**2 - 28*y. Let f be o(-28). Sort -4, 8, f in decreasing order. 8, f, -4 Suppose 11 = 2*d + 3*h, -2*d - 2*d + h = 13. Suppose -w - 3*j = -16, 6*w + 1 = 2*w + j. Sort w, 5, d. d, w, 5 Let o(l) = -5 + 2*l**2 + 4 - l**2 - 3*l. Let q be o(2). Let y(p) = -p + 5. Let f be y(9). Sort f, 3, q in increasing order. f, q, 3 Let u = -14 + 29/2. Put u, -3/5, -0.2 in descending order. u, -0.2, -3/5 Let m = 8 - 4. Let g = m + 1. Let u = -7 - -6.9. Put u, 0.1, g in ascending order. u, 0.1, g Let c = -6 + 2. Let v be (-3 - 6/c)*-2. Let f(k) = k - 1. Let q be f(-4). Sort v, 1/4, q in increasing order. q, 1/4, v Suppose b = -4 + 1. Put b, -2, 3, -1 in increasing order. b, -2, -1, 3 Let s = 0.34 - 0.81. Let h = -0.07 - s. Sort h, -0.3, -7 in decreasing order. h, -0.3, -7 Let t(h) = h**2 + h + 2. Let w be t(0). Suppose 2*q = -4*g + 6, -12 = -w*g + 2*q - 0. Sort -5, -2, g in decreasing order. g, -2, -5 Let o = -15 - -11. Let i = o - -4.1. Let v be (-1)/(-1)*-1*1. Sort i, -2/7, v in decreasing order. i, -2/7, v Let q be ((-1)/((-2)/(-2)))/1. Let c be -2 + q*6*-1. Let s = 40 - 38. Sort c, 3, s in ascending order. s, 3, c Let l = -0.3 + 0.2. Let z = 101 - 96. Sort -0.3, z, l in increasing order. -0.3, l, z Let v be 4*(4/(-28) + (-31)/28). Put 2, v, 5, -1 in decreasing order. 5, 2, -1, v Let r = 0.16 - 0.02. Let u = -0.06 - r. Sort 0.5, u, -1 in descending order. 0.5, u, -1 Let l = 13.7 - 14. Let k = -0.7 - l. Sort 2/19, 2/7, k in descending order. 2/7, 2/19, k Let k = 7 + -4. Let h = -155 + 155.3. Sort h, -1/3, k in ascending order. -1/3, h, k Let t = 17/10 - 1/5. Let r = -17.1 + 17. Let u = -2.06 - -0.06. Sort u, r, t in ascending order. u, r, t Let b = 10 + -13. Suppose -3*z + 8 + 7 = 0. Sort b, 4, z in decreasing order. z, 4, b Let n = -49 - -54. Let r = -7 + 3. Suppose -3*l - 2*l = -5. Sort n, l, r. r, l, n Let a(i) = -i**3 + 8*i**2 - 7*i. Let x be a(7). Put x, 1, -2 in ascending order. -2, x, 1 Let f = -3 + 22/7. Put 1/6, 2/9, f in descending order. 2/9, 1/6, f Suppose -3*l - 4*r - 5 = 0, -1 = -2*l + 5*r + 34. Suppose l*k + 6 = 4*k. Let v = k - -2. Sort v, 1, -1/4. v, -1/4, 1 Let i = -0.66 + 2.66. Put i, -3, -1/3 in descending order. i, -1/3, -3 Suppose 0 = 3*x - 9 - 6. Put 3, x, 1 in ascending order. 1, 3, x Let m = 0 + 7. Suppose -6*n - 21 = 9. Sort m, 5, n in descending order. m, 5, n Let u(n) = n**2 - 8*n + 5. Let o be u(8). Suppose 0 = -5*q + 10 + o. Put 4, 1, q in decreasing order. 4, q, 1 Suppose 5*s = 4*x + 13, -x - 2*x + 14 = s. Suppose 3*d = d. Sort d, s, 2. d, 2, s Let n = -1.8 + 1.1. Let d = n - -0.4. Let o be -1 + ((-16)/(-4))/(-1). Put o, 1, d in increasing order. o, d, 1 Suppose x - 6 = -2*x. Let b(t) = -3*t**2 + 0*t**2 + 2*t**2 + 2*t + 2*t. Let r be b(x). Sort 5, -2, r. -2, r, 5 Suppose w - 4*w + 9 = 0. Suppose -w*c + c = 0. Put c, 1, -1 in increasing order. -1, c, 1 Let d be -2 - -1 - 16/(-12). Let l = 0.8 - 0.4. Sort d, l, -3. -3, d, l Let j(m) = -2*m**3 + 6 - 4*m**2 - 3*m**2 + 2 - m + 3*m**3. Let h be j(7). Put -1, h, -5 in decreasing order. h, -1, -5 Let f = -0.2 + 0.4. Let i(y) = -y**2 - 6*y + 3. Let t be i(-6). Put f, t, 5 in increasing order. f, t, 5 Suppose 3*z - 5*c = -19, 3*c + 16 = 3*z + 5*c. Let v = z + -2. Let t be (-4 + 5)*30/6. Sort 1, t, v in ascending order. v, 1, t Suppose n + c + 4 = -c, 1 = -4*n - 3*c. Suppose 3*b - 129 = -4*a, b - 3*a - 12 = 18. Let h be (3/b)/((-2)/(-4)). Put h, -4, n in decreasing order. n, h, -4 Suppose -12 = -4*s - 0, 2*s - 6 = 4*h. Sort h, 5, 1. h, 1, 5 Let n = 2 + -5. Suppose 0 = 4*g + 6 + 10. Let m = g - n. Sort -5, m, 3. -5, m, 3 Let m(l) be the first derivative of -l**3/3 + 4*l**2 - 2*l + 2. Let y be m(7). Let w = -2 + 3. Sort 0, w, y in decreasing order. y, w, 0 Suppose 2*x = 4 + 2. Suppose -x = d + 1. Sort 2, -1, d in ascending order. d, -1, 2 Let g be (6 - 4)/(2/6). Suppose -l + g = l. Suppose 2*h - 15 = -l*h. Sort 0, 4, h in decreasing order. 4, h, 0 Let j(u) = u**3 - 2*u**2 - 4*u - 1. Let v be j(3). Suppose 4 = -2*y, -5 = -g + 4*y - y. Put v, 5, g in decreasing order. 5, g, v Suppose -3*l = -0*l - 60. Let c = l - 17. Put 1, c, -4 in increasing order. -4, 1, c Suppose 4*x - 83 = 17. Let a = -20 + x. Sort a, 2, 0 in decreasing order. a, 2, 0 Let q = 0.9 + -1. Let m = 0.52 + 3.38. Let k = q - m. Put 4, k, 0.1 in increasing order. k, 0.1, 4 Let d be (-4)/(-2) - 0 - 0. Let g = 7/13 - 47/39. Sort g, d, -0.5 in descending order. d, -0.5, g Suppose 3*a - 2*w - 9 = -0*w, 2*w - 16 = -2*a. Let g be (-4)/(-6) + 12/9. Suppose 3*b + 1 + g = 0. Put a, b, 3 in descending order. a, 3, b Let z = 10 - 8. Put z, -1, 0 in descending order. z, 0, -1 Let c = -8 - -7.4. Let d = c + 0.2. Sort d, 4/7, -5 in increasing order. -5, d, 4/7 Let q = 0 - 6. Let g(t) = -2*t**3 + t**2 - 2*t + 2. Let f be g(2). Let w be 3*(f/q - 1). Sort 3, w, -2 in descending order. w, 3, -2 Let q = -1 - -3. Let x be 3/12 + 30/8. Let n be (-2)/x*4/9. Sort q, n, -1/2 in increasing order. -1/2, n, q Let i = -7 + -5. Let s = 7 + i. Sort 1, s, 0.4. s, 0.4, 1 Let f = 1.1 + -2.1. Let t = 0.04 - 0.01. Let d = 4.97 + t. Put -0.5, f, d in increasing order. f, -0.5, d Suppose -7 = t + 2*o, 19 = -t - 4*t - 2*o. Suppose 5*j + z + 4 - 28 = 0, 5*z = -4*j + 15. Sort j, t, 9. t, j, 9 Let h = -152 - -155. Sort h, -4, -2, -1. -4, -2, -1, h Let d = -0.2 + 0. Let b be -5 - (3 + -3)/3. Put d, 0.1, b in descending order. 0.1, d, b Suppose -5*x = -2*o - 25, 2*x - 40 = -3*x - o. Sort 0, 5, x, -4 in decreasing order. x, 5, 0, -4 Let b(d) = -d. Let i be b(4). Suppose -5*r - 5 = w, 6*r = -5*w + r - 25. Put w, 0, i in descending order. 0, i, w Let k(r) = -r + 8. Let a be k(7). Suppose 2*f - 2*s + 2 = 18, 5*f + 3*s = 0. Sort 5, f, a in decreasing order. 5, f, a Let x = 40 + -161/4. Let n = 13 + -12. Sort n, x, 2/5 in increasing order. x, 2/5, n Let o(b) = b + 1. Let d be ((-5)/(-3) - 1)*6. Let m be o(d). Sort 2, -1, m in ascending order. -1, 2, m Let s = 15/16 - 43/80. Sort s, -5, -0.1 in ascending order. -5, -0.1, s Let d(c) = c**3 + 7*c**2 + 5*c - 6. Let y be d(-6). Suppose -g - 3 = -2*g. Sort 5, y, g. y, g, 5 Suppose -9*n - 4*f + 5 = -10*n, n - 5*f = -7. Put -0.02, n, 0.1, -0.1 in decreasing order. n, 0.1, -0.02, -0.1 Let x be (1 - 3 - -1)*(0 + 5). Sort 8, 4, -4, x in descending order. 8, 4, -4, x Let a(m) = -m**3 - 7*m**2 - 6*m - 9. Let f be a(-6). Let r be 2 + -2 - 2/f. Sort r, 1/2, -2 in decreasing order. 1/2, r, -2 Let d = -1.49 + 0.49. Sort 6/5, 3/5, d. d, 3/5, 6/5 Let o be (-222)/27*168/10. Let m = o + 138. Let r be ((-2)/24)/(2/9). Put r, -0.5, m in decreasing order. m, r, -0.5 Suppose 3*u = 3*g - 0*g - 12, 0 = -5*u + 3*g - 14. Let j be 60/8*20/(-25). Let f be (-1)/2 + 3/6. Put j, u, f in decreasing order. f, u, j Let u = -6/5 + 1. Let r be (-2)/15*9/(-6). Put u, r, -1 in ascending order. -1, u, r Let a = -1.0474 - -0.0474. Let n = 0.2 - 0.2. Put a, -1/8, n in decreasing order. n, -1/8, a Let g(i) = i - 7. Let r be g(7). Let n(d) = -d**3 - 8*d**2 + 4. Let m be -2*-4*(-3 + 2). Let v be n(m). Sort v, r, -5. -5, r, v Suppose 20 - 30 = -2*u. Sort -0.4, u, -4 in ascending order. -4, -0.4, u Suppose 0 = -2*m + 3*m - 10*m. Suppose 4*j - 7 = 1. Sort 3, j, m. m, j, 3 Let m = 28 - 24. Put -4, m, 5 in descending order. 5, m, -4 Suppose 4*d = 3*i - 31, -5*d + 5*i = -2*d + 37. Sort d, 4, 3/2 in descending order. 4, 3/2, d Let o be (-6)/(-9) + (-24)/9. Suppose 13 = 3*l - a - a, 0 = 3*l - 4*a - 17. Put -3, l, o in increasing orde
{ "pile_set_name": "DM Mathematics" }
2 - 11*t**5 + 0*t wrt t? -660*t**2 Let q(x) = -651*x**4 + 5*x**3 - 3*x - 1016. Let k(h) = -325*h**4 + 3*h**3 - 2*h - 509. Let j(f) = -5*k(f) + 3*q(f). Find the first derivative of j(c) wrt c. -1312*c**3 + 1 Let z(f) be the second derivative of 13*f**4/2 - 109*f**3/6 + 2*f + 369. Find the second derivative of z(b) wrt b. 156 Let r(u) = 4*u**2 + 39*u + 191. Let s(x) = -10*x**2 - 117*x - 573. Let v(w) = -8*r(w) - 3*s(w). Find the first derivative of v(y) wrt y. -4*y + 39 Let u(g) be the third derivative of -1/12*g**5 + 0*g**4 + 0*g**3 + 11/120*g**6 + 0*g - 5*g**2 + 0. What is the third derivative of u(a) wrt a? 66 Let f be 10/4*8/10. Find the third derivative of -w**f - 2*w**2 - 3*w**6 - w**2 - 3*w**2 wrt w. -360*w**3 Suppose 2*a = -a - 15. Let j(d) = 14*d**2 + 16*d + 2. Let k(q) = 27*q**2 + 31*q + 5. Let g(v) = a*j(v) + 2*k(v). Find the second derivative of g(c) wrt c. -32 Let m(n) be the second derivative of 5/21*n**7 + 0*n**5 + 0*n**3 + 0*n**6 + 0*n**2 + 0 + 11*n + 2/3*n**4. Find the third derivative of m(t) wrt t. 600*t**2 Let z(a) be the first derivative of -a**3/3 + a**2 + 12*a - 18. Let s(b) be the first derivative of z(b). Differentiate s(g) with respect to g. -2 Let m(q) = -910*q**2 + 51. Let v(w) = -455*w**2 + 25. Let f(t) = -3*m(t) + 7*v(t). Find the first derivative of f(n) wrt n. -910*n Let v = 3 + -1. Suppose 2*p - 4 = -0. Differentiate 13 + x**p - 3*x**v - 7 wrt x. -4*x Suppose 3*u - 44 = 4*d - 4, -2*u - 4*d = -20. Find the second derivative of -u*c**3 - c + 0*c + 2*c wrt c. -72*c Suppose -3*v + 9 = 0, -2*u - 7*v + 2*v = -47. What is the first derivative of y + 5 + 17*y - u wrt y? 18 Let b(q) be the third derivative of -125*q**4/24 - 115*q**3/6 - 192*q**2. Find the first derivative of b(p) wrt p. -125 Suppose 4*p + p = 0. Suppose 2*u - 12 + 0 = p. Find the third derivative of u*r**2 - 6*r**6 - 131 + 131 wrt r. -720*r**3 Suppose 36*t = 41*t - 20. What is the first derivative of -3*d**2 + 14 + 2 - t wrt d? -6*d Let o(s) = -s**3 - 10*s**2 - s - 6. Let t = -14 + 4. Let c be o(t). Find the first derivative of 4 - 2*m**4 + m**4 + 0*m**4 - 3*m**c wrt m. -16*m**3 Let w(u) = -39*u**4 + 3*u**2 - u - 7. Let m(j) = -j**4 - j**2. Let l(a) = -3*m(a) - w(a). What is the second derivative of l(p) wrt p? 504*p**2 Let i be 4 + -3 - -8 - 1. Find the third derivative of -i*l**2 + 2*l**2 + 6*l**5 + 6*l**5 wrt l. 720*l**2 Let w(y) = -71*y**3 + 6*y**2 + 6*y + 364. Let a(b) = 141*b**3 - 13*b**2 - 13*b - 729. Let p(s) = -6*a(s) - 13*w(s). Differentiate p(t) wrt t. 231*t**2 Let s(w) be the third derivative of 7*w**5/15 - 77*w**3/6 + 102*w**2. What is the first derivative of s(d) wrt d? 56*d Suppose -4*z + 85 = b, 0 = 2*z + 4*b - 73 + 13. Let k be (10/4)/(25/z). What is the third derivative of -2*v**3 + 4*v**3 + k - 7*v**2 - 2 wrt v? 12 Let u(f) be the first derivative of 11/3*f**3 + 4 - 7/2*f**2 + 0*f. Find the second derivative of u(l) wrt l. 22 What is the first derivative of 264 + 5*q + 1048*q**3 - 5*q - 733*q**3 wrt q? 945*q**2 Let j(f) = -56*f - 44*f**2 - 36 + 68 - 43. Let w(c) = -15*c**2 - 19*c - 4. Let b(p) = 4*j(p) - 11*w(p). What is the second derivative of b(d) wrt d? -22 Let k(w) = -10*w**4 + 4*w**3 + 9. Suppose 6*u - 3*u = 0, 3*h - 5*u = -12. Let q(t) = 11*t**4 - 3*t**3 - 9. Let b(r) = h*q(r) - 3*k(r). Differentiate b(o) wrt o. -56*o**3 Let i(s) be the second derivative of -2*s + 0*s**4 + 1/42*s**7 + 0 + 0*s**5 + 0*s**2 + 0*s**6 + 1/6*s**3. Find the second derivative of i(a) wrt a. 20*a**3 Let k(g) = -2*g**4 - 10*g**3 + 5*g**2 - 169. Let s(o) = -2*o**4 - 5*o**3 + 3*o**2 - 84. Let c(b) = 3*k(b) - 5*s(b). What is the first derivative of c(m) wrt m? 16*m**3 - 15*m**2 Let x = 10 - 9. Let k be (-3)/x*(-8)/12. Find the second derivative of -11*q**2 + 2*q + 4*q**k - 8*q - 3*q**2 wrt q. -20 Suppose 11*y = 10*y. Let q be (-1)/(y - (-3)/(-9)). What is the third derivative of q*i**5 + 12*i**2 - 4*i**2 - 2*i**2 wrt i? 180*i**2 Let s = 58 + -55. What is the third derivative of -f**2 - 2*f**2 - f**5 + s*f**5 - 16*f**2 wrt f? 120*f**2 Let w(j) be the third derivative of 3*j**7/70 - 7*j**5/60 + 17*j**4/24 + 25*j**3/6 - 217*j**2 + 2. What is the second derivative of w(f) wrt f? 108*f**2 - 14 Suppose 0 = 3*m - 18*m + 30. What is the second derivative of -32*j**m + 65*j**2 - 2*j + 10*j + 5*j wrt j? 66 What is the second derivative of -23 + 25*z**4 + 24 + 2*z**3 + 7*z - 4*z + 23*z**4 wrt z? 576*z**2 + 12*z Let b(g) = -g**6 - g. Let d = -19 - -19. Let f(m) = d*m - m + 0*m - 2*m**2 - 5*m - 8*m**6. Let i(a) = 12*b(a) - 2*f(a). Find the third derivative of i(t) wrt t. 480*t**3 Differentiate -m**2 - m + m**2 - 187 - 3*m + 6*m - 5*m**3 wrt m. -15*m**2 + 2 Let l(k) = -k**2 + 8. Let u be l(2). Let o(p) be the first derivative of 5*p + 0*p**2 + u + 5/4*p**4 + 0*p**3. Differentiate o(b) with respect to b. 15*b**2 Let i be (2/(-3))/(2/(-12)). Suppose 2*l - i = -2. Find the first derivative of k + 5 + l - 2*k + 0 wrt k. -1 Let z(o) be the second derivative of 17/15*o**6 + 0*o**5 + 0*o**4 + 49/2*o**2 + 24*o + 0*o**3 + 0. Find the first derivative of z(t) wrt t. 136*t**3 Let d = 2 + -6. Let v(i) = -19*i**3 - 5*i**2 - 15. Let h(f) = 18*f**3 + 4*f**2 + 14. Let r(x) = d*v(x) - 5*h(x). Find the first derivative of r(t) wrt t. -42*t**2 Suppose 8 + 0 = 4*q. Suppose 3*f + f - 2*x - q = 0, 0 = -3*f + 3*x - 6. Find the second derivative of 2*g**3 + 0*g + 3*g - 4*g**f - 2*g**3 wrt g. -24*g Let s(x) be the first derivative of -2*x**7/7 - x**4/4 + 2*x**3/3 + 9*x**2/2 + 130. Find the third derivative of s(k) wrt k. -240*k**3 - 6 Find the third derivative of -744*v**5 - 379*v**2 + 22*v**2 - 274*v**2 wrt v. -44640*v**2 Suppose -7*f + 20 = -2*f. Find the second derivative of 3*h - 6*h**4 + 15*h**4 + 6*h + 7*h**f wrt h. 192*h**2 Let x = 1981/2 - 989. Let v(f) be the first derivative of 0*f + 0*f**5 + 0*f**4 + 0*f**3 + 5/2*f**2 + 3 + x*f**6. What is the second derivative of v(p) wrt p? 180*p**3 Let u(i) = 1010*i**2 + 1527*i + 21. Let o(b) = -336*b**2 - 509*b - 6. Let j(l) = 14*o(l) + 4*u(l). Find the second derivative of j(v) wrt v. -1328 Let m(c) = -2*c**4 - c**3 + c - 1. Let u(d) = 65*d**4 + 5*d**3 - 5*d + 24. Let x(t) = 10*m(t) + 2*u(t). Differentiate x(r) wrt r. 440*r**3 Let g be (3 - (-27)/(-6))*4/(-3). Find the third derivative of 79*z**6 + 25*z**g + 78*z**6 - 166*z**6 wrt z. -1080*z**3 Suppose 4*t - 13 = -5. Find the third derivative of 3*d**3 + 29 + 3*d**t - 29 wrt d. 18 Let a(k) = -22*k**2 + 2*k + 9. Let q(m) = 3. Let f(d) = -a(d) + 3*q(d). What is the second derivative of f(r) wrt r? 44 What is the derivative of -207*b + 205*b + 74 + 31*b**3 + 21*b**3 wrt b? 156*b**2 - 2 Let t(n) be the first derivative of -6 - 8/5*n**5 + 0*n + 2*n**3 + 0*n**4 + 0*n**2. Find the third derivative of t(m) wrt m. -192*m Let y(o) be the second derivative of 13/2*o**2 + 17*o + 0 + 0*o**3 + 3/5*o**5 + 0*o**4. Differentiate y(u) wrt u. 36*u**2 Differentiate 0 + 9*h + 39 + 36*h + 16 + 3*h**2 with respect to h. 6*h + 45 Let p(l) be the first derivative of -146*l**5/5 + 50*l**3 - 121. What is the third derivative of p(u) wrt u? -3504*u Suppose -7*j + 61 = -30. Differentiate -j - 2*h**3 - 16 + 9 - 3*h**3 wrt h. -15*h**2 Let w = 7 - 2. Suppose -w*t = -f - 86, 2*f = -2*t - f + 48. Differentiate 2*d**4 + t*d - 18*d + 7 - 1 wrt d. 8*d**3 Let k(t) = -2*t - 1. Let h be k(-1). Let x = h + 1. What is the second derivative of x*g**5 + 6*g**5 - g + 7*g**5 - 14*g**5 wrt g? 20*g**3 Suppose -3*o + 0*o - 2*w = -10, -w = -3*o + 4. What is the third derivative of 3*j**3 + 8*j**2 - o*j**3 + 0*j**2 - 5*j**3 wrt j? -24 Let c(r) = 80*r**3 - 5*r**2 - 118*r - 5. Let d(h) = 11*h**3 + h**2 - h + 1. Let s(b) = -c(b) - 5*d(b). Find the second derivative of s(w) wrt w. -810*w Let l be 4/(((-6)/4)/(6/(-8))). Find the first derivative of 9*w - 7*w - 2*w + 6*w**l + 1 wrt w. 12*w Let x be 6/(1 - 0) + (-21)/7. What is the third derivative of -5*s**5 + x*s**5 + 3*s**2 + 26*s**2 - 6*s**5 wrt s? -480*s**2 Let q(g) be the first derivative of g**4/4 + 236*g**3/3 + g**2 - 13*g - 341. Find the second derivative of q(t) wrt t. 6*t + 472 Let w(j) be the second derivative of 12*j**2 - 34*j + 1/30*j**6 + 0 + 0*j**3 + 0*j**5 + 0*j**4. Differentiate w(x) wrt x. 4*x**3 Let n(g) = -g + 14. Let q be n(-15). Find the third derivative of q*v**2 - 35*v**2 - 1
{ "pile_set_name": "DM Mathematics" }
t 429.2 * -2. -858.4 60558 times 11 666138 Product of 1 and 30485. 30485 What is -657 times -414? 271998 What is the product of -21.817 and 0.04? -0.87268 Product of 24.961 and 3. 74.883 Work out -1.32 * -74.2. 97.944 39.176*-1 -39.176 What is the product of 0.4 and 8.42? 3.368 2.8 times 323 904.4 -389*5.2 -2022.8 What is the product of -1 and 3.58713? -3.58713 0.2*-2.6172 -0.52344 What is 0.12 times -22552? -2706.24 43*-352.8 -15170.4 Work out -0.4 * 13601. -5440.4 What is the product of 18398 and -8? -147184 -868713 * -1 868713 Calculate -49.1*-131. 6432.1 94 times -0.4972 -46.7368 0*390.949 0 6.9152 times -2 -13.8304 17 * -87.1 -1480.7 What is 6.6953 times 0.05? 0.334765 Product of -4 and 3935.3. -15741.2 What is the product of -550 and -0.15? 82.5 -2 * -32900 65800 -703 times -2.23 1567.69 Product of 0.45 and 13903. 6256.35 20589 * 0.83 17088.87 Multiply 9.401 and 3. 28.203 Product of -5 and -437842. 2189210 0.008315*-0.06 -0.0004989 What is the product of 145119 and -0.05? -7255.95 0.32463*3.9 1.266057 Product of -15 and -163.6. 2454 0.2 times -54.6183 -10.92366 Work out -1.8 * 25. -45 Work out -146231 * 10. -1462310 What is the product of -0.08 and -1574? 125.92 Work out -1180 * -1. 1180 What is -20452 times 58? -1186216 Product of 0.2 and 318924. 63784.8 What is the product of 1 and -0.082339? -0.082339 What is the product of 11664.3 and 0.5? 5832.15 -0.5*229268 -114634 Product of -0.05 and 4736. -236.8 Product of -0.12192 and -0.2. 0.024384 What is the product of -839 and 341? -286099 Product of -0.5 and -921. 460.5 -9.8*-135 1323 -0.00625*-33 0.20625 -0.06249 times 19 -1.18731 3572*0.01 35.72 Calculate -225.6*0. 0 Product of -4193 and 153. -641529 -0.069425 * 4 -0.2777 45.4*-1 -45.4 What is 23 times 1026? 23598 -0.1024 * 0.01 -0.001024 6 * -193781 -1162686 What is -25485.9 times 5? -127429.5 Calculate 721*2.1. 1514.1 Calculate -0.4*-10645. 4258 7475 * 0.1 747.5 What is the product of -1 and -10682? 10682 Product of 22 and -178949. -3936878 -22.2 * 1.9 -42.18 Product of 0.195 and 0.021. 0.004095 154076*-0.5 -77038 Multiply -52.7 and -19. 1001.3 7 * -349.579 -2447.053 -4 times -0.144781 0.579124 39688*-0.1 -3968.8 Calculate -0.4*-12203. 4881.2 Calculate -0.0901095*2. -0.180219 What is -0.4 times 25081? -10032.4 Multiply 4 and 254146. 1016584 436267 times 0.2 87253.4 What is the product of 61.419 and 0? 0 Multiply 17569 and -0.3. -5270.7 -24632 * 53 -1305496 Work out -11.2 * -0.43. 4.816 Calculate -0.04696*-0.1. 0.004696 Work out -6517 * -0.02. 130.34 Work out -0.5 * -116407. 58203.5 -3.003 * 0.1 -0.3003 552*-1.092 -602.784 Product of 0.0052 and 54. 0.2808 Multiply 0.1 and -24.042. -2.4042 Work out -3 * 3.96053. -11.88159 What is 0.144781 times -5? -0.723905 Product of 26 and -1809. -47034 Product of -1 and 59477. -59477 Multiply 78.327 and 2. 156.654 Work out 21.24 * 40. 849.6 25.9*2420 62678 Product of 1.719 and -0.287. -0.493353 What is the product of 0.423 and -2.9? -1.2267 Calculate 0.0118*121. 1.4278 -41 times 2.29 -93.89 5 times -147458 -737290 Work out -3353 * -0.021. 70.413 What is -59 times 2418? -142662 3 * 5.2333 15.6999 516700 * 0.5 258350 Multiply 1678 and 6.2. 10403.6 Product of -0.01 and 0.845. -0.00845 Multiply -4 and 3008. -12032 Product of 7 and 2.74. 19.18 0*675842 0 -0.1 times -157631 15763.1 2507 * -131 -328417 Multiply -11.47 and -0.1. 1.147 Calculate -17794*-3. 53382 Multiply -1.4 and 496.3. -694.82 0.2*1702349 340469.8 Product of 40187 and 2. 80374 Product of 2.5 and 2122. 5305 Product of 0.6 and -175170. -105102 -5*-1.972619 9.863095 Work out -5 * 51148. -255740 Calculate 28*27764. 777392 0.5 * 11750 5875 -290 times 131 -37990 Product of 0.19035 and 0.6. 0.11421 -4.3*-0.86 3.698 Product of 362177 and -3. -1086531 Product of -0.3 and 18206. -5461.8 What is -0.0539 times 1119? -60.3141 5773*-0.4 -2309.2 2 times -20176 -40352 What is the product of 0.2 and -0.3801? -0.07602 6213.09*0 0 Work out 345644 * 0.19. 65672.36 5 times 34608 173040 Product of 0.4284 and -20. -8.568 What is the product of -4 and -27825? 111300 0.1*82503 8250.3 Multiply -1011 and 0.02. -20.22 Product of 0.059 and 9743. 574.837 What is the product of -23.5278 and -1? 23.5278 Multiply 45.4721 and 1. 45.4721 Calculate -1.96*454. -889.84 -166 * -200 33200 Product of 9.68 and -0.11. -1.0648 -0.2 * -1867.6 373.52 Calculate -0.069*-50.1. 3.4569 Multiply 8.3 and 25.12. 208.496 -832399 * 0.2 -166479.8 0.23 * 0.1325 0.030475 Product of 1478 and -0.065. -96.07 Calculate -0.22535*-0.41. 0.0923935 Calculate -0.231*-248. 57.288 What is -29762 times 0? 0 231450 * 0.3 69435 What is the product of 0 and -1818.98? 0 What is -0.52 times 40.9? -21.268 Work out -1851.9 * 41. -75927.9 Product of 58286 and 0.11. 6411.46 Work out -673 * 136. -91528 Calculate -21125.5*2. -42251 232*-299 -69368 -0.02 times -12046 240.92 Product of 174 and -34. -5916 Work out -2079 * 6. -12474 324.7 * -0.01 -3.247 3772 times 0.09 339.48 Work out 5 * 127444. 637220 Multiply 4 and -7.6481. -30.5924 Multiply -167 and 1490. -248830 Work out -15.2 * -173. 2629.6 What is 0.23677 times -0.04? -0.0094708 Work out -52106 * 3. -156318 -4 * -1517477 6069908 Product of 2528072 and 4. 10112288 -3*-14600 43800 Calculate -103.427*-0.4. 41.3708 Multiply -25428 and 5. -127140 Work out 0.4 * -71.369. -28.5476 Product of 86.37 and -96. -8291.52 What is the product of -70808 and -1.9? 134535.2 Product of 0.2 and 52154. 10430.8 What is 0 times 62682? 0 What is 0.3 times 1411719? 423515.7 -98879 * -28 2768612 -44.3*-472 20909.6 What is the product of -14 and -0.18095? 2.5333 What is -2450 times -8.08? 19796 What is the product of -2.6 and 2310? -6006 Product of -0.12 and 5526. -663.12 Product of 5 and 0.46609. 2.33045 What is 0.2 times 24.282? 4.8564 Product of -3799.8 and 0.01. -37.998 Multiply -5.2577 and -4. 21.0308 2*752477 1504954 Work out 80884 * 0. 0 Multiply -0.497 and 31. -15.407 What is the product of 10.3 and -48? -494.4 Product of -3164893 and -2. 6329786 0.4*137024 54809.6 What is -0.5 times 112.3878? -56.1939 What is the product of -6849 and -134? 917766 Work out -0.52339 * 0.3. -0.157017 19.685 times -0.4 -7.874 Calculate -1.5*2.4845. -3.72675 -0.04 times -0.09169 0.0036676 What is the product of 1118 and 58.8? 65738.4 Work out 25.4 * -0.921. -23.3934 Calculate 528*-27. -14256 Work out -12.37 * 3. -37.11 Multiply -0.15 and -380.3. 57.045 23691.7 times -1 -23691.7 What is the product of 34.9 and -117? -4083.3 82691 times 0.4 33076.4 Product of 0 and 1.01863. 0 What is the product of 4.43 and 74.9? 331.807 What is the product of -0.1 and -0.007736? 0.0007736 -0.2148063 * -0.2 0.04296126 What is the product of -76 and -117? 8892 What is the product of -3 and 0.97385? -2.92155 What is the product of -0.055 and -16894? 929.17 Work out 1359849 * 4. 5439396 What is 18999 times 0.66? 12539.34 Work out 3 * -16.835. -50.505 -56.983*-0.18 10.25694 What is the product of 36550 and -5? -182750 2 * 7032 14064 What is the product of 462 and 182? 84084 What is -0.02327 times -1.96? 0.0456092 Work out -7 * -354632. 2482424 Calculate 0.05*-0.04971. -0.0024855 210.9*-2.1 -442.89 Calculate 0*-415590. 0 What is 0.19 times 99? 18.81 -18655 times 0.2 -3731 Calculate 2*5.023. 10.046 What is the product of 5091 and 0.058? 295.278 -0.5*50248 -25124 -150*0.0848 -12.72 What is the product of -69 and -1582? 109158 -3 times -0.4753 1.4259 What is 1 times -629310? -629310 Work out 2 * 2.4497. 4.8994 Work out 54 * 6320. 341280 What is 181 times 1.3? 235.3 Product of -3152 and 2.33. -7344.16 5901286*-5 -29506430 Work out 0.352712 * -0.2. -0.0705424 Product of -27 and -0.05479. 1.47933 What is -0.8 times 0.21899? -0.175192 3.72*-3009 -11193.48 What is -6103 times 0.05? -305.15 What is the product of -2.03 and -2550? 5176.5 Calculate 8.1*0.0363. 0.29403 Multiply 5.425 and -0.7. -3.7975 Work out -0.1 * -4034.49. 403.449 Calculate 0.86*414. 356.04 1 * -31716.7 -31716.7 What is the product of -31.68 and -191? 6050.88 Work out -5.4471 * 12. -65.3652 0.3297*-199 -65.6103 What is 2827 times 1.1? 3109.7 2197*13 28561 Product of 2 and 25086. 50172 0.4*-510010 -204004 Multiply -0.0729841 and 5. -0.3649205 Product of 2048 and 27. 55296 Product of 453223 and -2. -906446 -0.052*-2.061 0.107172 Multiply 2 and -61292. -122584 Calculate
{ "pile_set_name": "DM Mathematics" }
s 6*i(h) + 5*q(h)? -h**2 - h + 1 Let w = -17984 + 17971. Let a(q) = 32*q**3 + 13*q**2 - 13*q - 11. Let b(u) = 16*u**3 + 6*u**2 - 6*u - 5. Give w*b(h) + 6*a(h). -16*h**3 - 1 Let t(h) = -h - 3. Suppose -5*f = 4*s + 5, -2*f + 28 - 2 = -4*s. Let a be (-10)/(-6)*(84/(-35))/(-2). Let y(p) = 4 - 15*p - a*p + 19*p. Give f*t(o) + 2*y(o). o - 1 Suppose -3*f = 4*s + 23, -2*f - s - 22 = 3*s. Let h(y) = -2*y**3 + y**2 - 4*y + 6. Let l(u) = u**3 - 13 + u - 9 + 37 - 16. What is f*h(d) - 4*l(d)? -2*d**3 - d**2 - 2 Let c(x) = -2*x**2 - x. Let k(n) = -35*n**3 - 2*n**2 + 3*n. Determine 2*c(p) - k(p). 35*p**3 - 2*p**2 - 5*p Let y(o) = 2*o**3 + 31*o**2 + 10*o - 72. Let q be y(-15). Let l(a) = 8*a. Let h(p) = -7*p - 1. What is q*l(g) + 2*h(g)? 10*g - 2 Let d(u) = 9*u**2 - 3*u + 3. Let n(r) = 46*r**2 - 14*r + 14. Let b = 459 + -463. Let l(h) = 2*h**3 + 5*h**2 - 8*h + 13. Let g be l(b). Give g*n(z) + 14*d(z). -12*z**2 Let g(q) = -7*q**2 + 2*q - 3. Let a(f) = 6*f**2 - 23*f - 2 + 4 + 22*f. Suppose 0 = 6*c - 35 + 53. Give c*g(d) - 4*a(d). -3*d**2 - 2*d + 1 Suppose 4*f = 5*q + 99, -5*f - 309*q + 313*q = -81. Let h(w) = -3 - 1 + 2*w - 4. Let l(p) = p - 1. What is f*h(y) - 3*l(y)? -y - 5 Let l(w) = -w**3 - 1. Let h = 20751 - 20754. Let c(m) = -10*m**3 - 5. Give h*c(v) + 15*l(v). 15*v**3 Let j(r) = 7*r**2 - 10 + 11 - 7 + 7*r. Let l(k) = -3*k**2 - 5 + 4*k**2 + 5*k**2 + 6*k. Suppose 19*w + 276 - 200 = 0. Determine w*j(z) + 5*l(z). 2*z**2 + 2*z - 1 Let g(c) = 298*c**3 + 50*c**2 + 2*c - 3. Let h(u) = 3277*u**3 + 575*u**2 + 23*u - 34. Determine 46*g(z) - 4*h(z). 600*z**3 - 2 Let q be -14 - -12 - (0 + 3). Let g = q + 4. Let m(a) = -82*a + 1. Let l(w) = -111*w + 1. Let h(c) = 3*l(c) - 4*m(c). Let s(f) = f - 1. What is g*h(d) - s(d)? 4*d + 2 Let z(w) = 8. Let m(d) = d + 9. Let t = -13789 + 13786. Calculate t*z(l) + 2*m(l). 2*l - 6 Let z(t) = 9*t + 839. Let j(m) = -4*m - 410. Calculate -5*j(i) - 3*z(i). -7*i - 467 Let y(a) = 15*a**2 + 3*a + 8. Let u(q) = q**2 + 3*q + 16. Let r(x) = 2*x + 11. Let j(l) = 7*r(l) - 5*u(l). Calculate 8*j(m) + 3*y(m). 5*m**2 + m Let k(n) = 9*n - 3. Let s(i) be the first derivative of -3*i - 84 - 3*i - 3 + 7*i - 2*i**2. Give 2*k(d) + 5*s(d). -2*d - 1 Let p(c) = c**3 - 19. Let r(j) = -j**3 + 38. Suppose -4*f + 31 = -5*h - 14, 5*h = -2*f - 15. Calculate h*p(u) - 3*r(u). -2*u**3 - 19 Suppose 2*v + k = 0, 3*v = -2*k + 23 - 26. Let l(i) = -6*i - 4. Let j(o) = 11*o + 8. Give v*j(b) + 5*l(b). 3*b + 4 Let t(j) = 8*j**2 - 3. Let m be 283/(-8) + 105/280. Let w = 53 + -39. Let o be 4/(-6) - w/6. Let x(r) = -95*r**2 + 35. Determine m*t(f) + o*x(f). 5*f**2 Let b(i) = -i**2 + 1. Let l(h) = 3*h**2 - 2*h - 9. Suppose 44*m - 22 = 55*m. Determine m*b(s) - l(s). -s**2 + 2*s + 7 Let t(z) = 12. Let p(a) = 115*a + 305. What is p(v) - 25*t(v)? 115*v + 5 Let d(q) = 5*q**3 - 7*q**2. Let i = 367 + -361. Let p be ((-22)/i)/(-11) + 30/(-9). Let t(m) = -4*m**3 + 6*m**2. What is p*d(l) - 4*t(l)? l**3 - 3*l**2 Let y(t) = -4*t + 3. Let g(w) = 5*w**2 + 67*w - 35. Let k be g(-14). Let f(z) = 3*z - 2. Determine k*f(l) + 5*y(l). l + 1 Let m(y) = -y**2 + y - 1. Suppose 5*n - 5 = -3*k, 4*n - 37*k = -34*k + 4. Let h(f) = 17*f**3 - 6*f**2 + 6*f - 6. Determine n*h(t) - 6*m(t). 17*t**3 Let j(s) = 245*s**2 + 20*s - 18. Let c(g) = 262*g**2 + 19*g - 16. What is -9*c(l) + 8*j(l)? -398*l**2 - 11*l Let l(x) = -1. Let a be -4 + ((-12)/(-2))/3. Let t = 59750 + -59751. Let s(w) = 2*w. Let h(i) = i - 1. Let v(d) = -h(d) + s(d). What is a*l(r) + t*v(r)? -r + 1 Let i(m) = -17*m**3 + 2*m**2 - 21*m + 11. Let w(p) = -16*p**3 + 2*p**2 - 20*p + 9. Give 4*i(z) - 5*w(z). 12*z**3 - 2*z**2 + 16*z - 1 Let f(c) = -c + 1. Let x(v) = 24*v**2 + 6*v - 6. Let o(a) = -28*a - 34. Let k be o(-1). Give k*f(s) - x(s). -24*s**2 Let g(q) be the first derivative of q**2/2 - 524. Let w(a) = -3*a - 1. Suppose 3*d - 1 + 4 = 0. Determine d*w(k) - 4*g(k). -k + 1 Let p(g) = 5*g**3 - g. Let b be p(1). Let c(o) = 9*o + 4. Let j(d) be the second derivative of 4*d**3/3 + 3*d**2/2 + d + 2257. Calculate b*j(u) - 3*c(u). 5*u Suppose 4*c - 11068 + 11076 = 0. Let i(d) = d**3 + 2*d**2 + 2*d + 15. Let y(a) = 5*a**3 + 11*a**2 + 10*a + 76. What is c*y(u) + 11*i(u)? u**3 + 2*u + 13 Let t(v) = 2*v**2 - 3*v + 3. Let o be 2/5 - 440/(-25). Suppose -o*i - 171 = -27. Let x(g) = 6*g**2 - 8*g + 9. What is i*t(f) + 3*x(f)? 2*f**2 + 3 Let h(o) be the second derivative of -o**3/6 - o**2/2 - 58*o. Let w(f) = f - 3. Let n = 11 + -6. Let y be w(n). Let l(p) = -p - 2. Determine y*l(q) - 3*h(q). q - 1 Let k(r) = -4*r**2 + 6*r + 5. Let f be 21128/(-32) + 3/12. Let d = f - -654. Let h(i) = -9*i**2 + 13*i + 11. Give d*h(l) + 13*k(l). 2*l**2 - 1 Let w = -2166 - -2168. Let u(j) = 495*j - 77. Let a(k) = -13*k + 2. Calculate w*u(l) + 77*a(l). -11*l Let a(f) = -f**2 - 11*f - 2. Let r(w) = -w**3 + 2*w**2 + 11*w + 3. Suppose -18 = 46*d - 61*d + 12. What is d*r(n) + 3*a(n)? -2*n**3 + n**2 - 11*n Suppose -2*c = -7*c - 25. Let n(p) be the first derivative of -9*p**4/4 + 3*p**3 + 21*p**2/2 - 157587. Let x(o) = -2*o**3 + 2*o**2 + 5*o. Give c*n(s) + 21*x(s). 3*s**3 - 3*s**2 Let x(r) = r**3 - 3*r**2 - 15*r. Let u(f) = f**3 - f**2 + f. Suppose 17 - 46 = -13*k - 16. What is k*x(h) - 3*u(h)? -2*h**3 - 18*h Let n(v) = -3*v + 6. Let x(z) = -z**2 - 4*z + 26. Let s be x(-5). Suppose 0 = -15*k + s - 186. Let h(w) = 8*w - 17. Calculate k*n(c) - 4*h(c). c + 2 Let p = -87 + 90. Let z(h) = 2 + 1 - p*h**2 - 2 + h + 2*h**2. Let f(w) = 4*w**2 - 5*w - 4. Give f(o) + 3*z(o). o**2 - 2*o - 1 Let v(n) = -3*n**3 - 3*n**2 - 5*n - 53. Let o(b) = -b**3 - b - 3. What is 5*o(l) - v(l)? -2*l**3 + 3*l**2 + 38 Let z(u) be the first derivative of -27*u**4/4 - 4*u**3/3 + 2*u**2 - 5*u - 209. Let x(g) = -27*g**3 - 5*g**2 + 5*g - 6. Determine -4*x(o) + 5*z(o). -27*o**3 - 1 Let c(f) = 15*f**2 - 8*f + 85. Let p(m) = -15*m**2 + 9*m - 97. What is 7*c(l) + 6*p(l)? 15*l**2 - 2*l + 13 Let w(s) = 8*s - 11. Suppose 37*f + 114 = 35*f. Let g = -53 - f. Suppose 0 = -g*v - 22 - 66. Let l(q) = -2*q + 3. Determine v*l(b) - 6*w(b). -4*b Let t(l) = -3*l**3 + 8*l**2 - 57*l + 8. Let s(x) = x**3 - 2*x**2 + 2*x - 2. Determine -4*s(y) - t(y). -y**3 + 49*y Let c(i) = 4*i**3 - 5*i**2 - 19*i + 5. Let l(x) = -10*x**3 + 12*x**2 + 48*x - 12. Let b(m) = 45*m - 1625. Let o be b(36). Determine o*l(h) - 12*c(h). 2*h**3 - 12*h Let d(h) = 16*h**3 + 50*h**2 - 8*h + 2. Let w(j) = -79*j**3 - 255*j**2 + 43*j - 11. Calculate 11*d(f) + 2*w(f). 18*f**3 + 40*f**2 - 2*f Let z be (36/(-15))/((-132)/330). Let w(f) = -f**3 + f**2 - f + 1. Let v(k) = 7*k**3 - 6*k**2 + 6*k + 3. Determine z*w(q) + v(q). q**3 + 9 Let x(u) = -u**3 + 4*u - 4. Let t(b) = 4*b**3 - 29*b**2 - 28*b + 28. Give 5*t(v) + 35*x(v). -15*v**3 - 145*v**2 Let y(p) = -24*p**3 + 66*p**2 - 2075*p - 50. Let n(l) = 8*l**3 - 24*l**2 + 692*l + 18. What is 11*n(r) + 4*y(r)? -8*r**3 - 688*r - 2 Let w(y) = -70*y - 14. Let k(t) be the second derivative of -7*t**3/3 - 3*t**2/2 - 15*t - 14. Calculate -14*k(s) + 3*w(s). -14*s Let s(c) = 13*c + 13. Let b(q) = -5*q - 5. Let t(z) = 8*b(z) + 3*s(z). Suppose -5 = -3*n - 8. Let d(i) = 2*i - 2*i - 6*i - 4. Give n*d(a) + 3*t(a). 3*a + 1 Let p(k) = -1396*k + 1396*k + 12 - 20 - 12*k**3 - 55*k**2 + 47*k**2. Let o(v) = -v**3 + v**2 + 1. Give 8*o(l) + p(l). -20*l**3 Let l(w) = 5*w**2. Let y(x) = -3*x**2. Let f(h) = h. Let o be f(7). Let i = -161802 + 161806. What is i*l(s) + o*y(s)? -s**2 Let l(m) = -11*m**3 + 1347*m**2 - 5. Let g(i) = 9*i**3 - 1346*i**2 + 4. What is 5*g(d) + 4*l(d)? d**3 - 1342*d**2 Let x(m) = -5*m. Let z(t) = 11*t. Let g(q) = 3*q. Let v(a) = -5*g(a) + z(a). Determine -6*v(k) + 5*x(k). -k Let v(l) = -3*l - 5. Let t be (2*(-1)/2)/(-2 - -3). Let u(b) be the third derivative of b**4/24 + b**3/6 - 6*b**2 - 57. Calculate t*v(a) - 6*u(a). -3*a - 1 Let m(n) be the first derivative of -5*n**2 - 2*n - 6. Let j(a) = 8*a - 10281 + 2*a + 16*a - 16*a + 10284 - a**2. Determine -2*j(i) - 3*m(i). 2*i**2 + 10*i Let f(h) = 81*h**3 - 8*h**2 + h - 13. Let a(b) = b**3 - 2*b**2 - 3. Give 4*a(n) - f(n). -77*n**3 - n + 1 Let b(x) = -4*x - 3. Let l be (21/9)/((-224)/(-576)). Let h(g) be the second derivative of 6*g**3 + 13*g**2 - 6*g. Give l*h(z) + 52*b(z). 8*z Let r(a) = 2*a**3 - 1805*a**2 + 8*a + 16. Let d(i) = i**3 - 602*i**2 + 3*i + 6. Give -8*d(x) + 3*r(x). -2*x**3 - 599*x
{ "pile_set_name": "DM Mathematics" }
1 Let j(v) be the third derivative of -9*v**6/40 + v**5/60 - 11*v**4/24 - 7*v**3/6 + 7*v**2 + 4*v. What are the prime factors of j(-4)? 13, 137 Let l(s) = 44*s**2 + 20*s + 73. Let u(t) = -4*t**3 + 8*t - 7. Let q be u(1). What are the prime factors of l(q)? 409 Let z(t) = -6*t**3 + t**2 - 9*t + 12. Let l be z(5). Let q = -515 - l. What are the prime factors of q? 3 Suppose 580*f - 578*f - 3*d - 18414 = 0, -2*f + 2*d + 18410 = 0. List the prime factors of f. 3, 3067 What are the prime factors of 288/2400 + 2265610/125? 5, 29 Let z(p) = 4*p**2 - 157*p - 3319. List the prime factors of z(-27). 2, 7, 137 Let n(w) = w**2 + 106*w - 1922. What are the prime factors of n(123)? 5, 29, 181 Let q(u) = -u**3 + 19*u**2 + 2*u - 36. Let i be q(19). Suppose -f + 0*v + 2*v = -439, i*v - 1746 = -4*f. What are the prime factors of f? 19, 23 Suppose -r = -8*m + 7*m + 2936, 2*m - 5*r = 5869. What are the prime factors of m? 3, 11, 89 Let b = 6520 - -11902. List the prime factors of b. 2, 61, 151 Suppose 4*q - 8 + 0 = 0. Suppose 0*u - q*y + 16 = u, -3*u = 3*y - 36. Suppose 0 = u*z - 157 - 139. What are the prime factors of z? 37 What are the prime factors of (-200970)/(-16) + 3 - 7 - 9/(-24)? 29, 433 List the prime factors of (2 + -8 + 5)*5 + 11779. 2, 7, 29 Suppose -4*g + 3*g + 3 = 0. Suppose 2*i = 2*z + 26, z - 6*z - 1 = g*i. Suppose i*s + 2*s = 450. What are the prime factors of s? 3, 5 Let c(w) = 38*w + 1017. List the prime factors of c(29). 13, 163 Let r = -651 + 167. Let q = 1069 + r. List the prime factors of q. 3, 5, 13 Suppose -178*h - 563735 = -209*h. What are the prime factors of h? 5, 3637 Let c = -72 - -83. Let y be 3/2*(-23 + c). Let j(l) = -l**3 - 20*l**2 - 43*l - 4. List the prime factors of j(y). 2, 61 Suppose -91*n + 344850 = -16*n. List the prime factors of n. 2, 11, 19 Suppose 0 = 5*h - 2*b - 26, -5*h + 2*h + b = -16. Suppose -h*t + 7 = -17. Suppose 0 = -t*i - 3*n + 196, -i + 5*i - 3*n - 220 = 0. List the prime factors of i. 2, 13 Suppose d + 10*d = 0. Suppose -4*h - r + 1496 = 3*r, d = r + 1. List the prime factors of h. 3, 5 List the prime factors of -4306*2/(-8) - (-68)/(-136). 2, 269 Let f = -87 - -86. Let x be 30/(-4)*((-1292)/(-6))/f. What are the prime factors of (-1)/(-2) + (x/2)/5? 2, 3 Let m(j) = 8*j - 18. Let l be m(-6). Let f = l + 36. What are the prime factors of 79 - (f/5)/3? 3 Suppose h + 3*o - 11 = -0, 4*h - 3*o - 29 = 0. Suppose 0 = -h*f + 13*f - 215. What are the prime factors of f? 43 Suppose 3*z = r + 10056, r = 2*z - 2*r - 6711. What are the prime factors of z? 3, 1117 Let n = 21231 - 18531. What are the prime factors of n? 2, 3, 5 Let d(b) = b**3 - 26*b**2 - 92*b + 1677. List the prime factors of d(50). 57077 Suppose 5*h + q - 74067 = 0, -4*h - q + 26500 = -32753. What are the prime factors of h? 2, 3, 823 What are the prime factors of 103548/8*(276/(-690))/(6/(-50))? 5, 8629 Let u be (-1)/(-3) - 60/(-36). Suppose u*t = -3*t - 10. What are the prime factors of (-9 - t/1)*(-5 - 4)? 3, 7 Suppose -80*h - 33543 + 1054903 = 0. List the prime factors of h. 17, 751 Suppose -166 = -4*n + 655 - 97. What are the prime factors of n? 181 Suppose 5*m + 16 = 3*b - 19, 0 = -5*b + 3*m + 69. Let g(k) = 35*k - 1048. Let x be g(30). Suppose o - 129 = 4*r, -b = x*r + r. What are the prime factors of o? 109 What are the prime factors of (39934/2435)/((-4)/(-16970))? 41, 1697 Suppose 4613 + 6074 = 3*h - 2*t, 0 = 5*h + 3*t - 17780. What are the prime factors of h? 3559 Let l(j) = -j**2 + 31*j + 109. Let r be l(33). Suppose 7*s + v = 6*s + r, -2*v = 3*s - 132. List the prime factors of s. 2, 23 Suppose f - 8 + 7 = 0. Let j be 12*(28/12 + f). Suppose -o - j = -6*o. List the prime factors of o. 2 Suppose 0 = -2*f - 5*h + 2612, f - 534 = 4*h + 811. List the prime factors of f. 1321 Let g be 1142/(-2) + -2 - 1. Let u = -356 - -344. What are the prime factors of 8/48 + g/u? 2, 3 Suppose -3*b + 3*x = -12, -b = -0*b + 3*x + 12. Let r(s) = 54*s**2 - s. Let z be r(-1). Suppose b = -n, -3*n + z = 2*v - 9. What are the prime factors of v? 2 Suppose 2*y - i - 29 = 0, y = -4*y + 3*i + 75. Suppose 4*p - 20 = 0, 4*a - 10*p = -y*p + 1626. List the prime factors of a. 2, 101 Suppose 31 = 4*n + t - 7, -5*t - 17 = -3*n. Let y(l) = -4 + 33*l**2 - 34*l**2 - 15*l + 4 - n. List the prime factors of y(-10). 41 Let o(f) = 4*f**2 - 90*f + 162. What are the prime factors of o(40)? 2, 1481 Let w(t) = -143*t + 16. Let b be 2/(-10) - 72/15 - -4. What are the prime factors of w(b)? 3, 53 Let m be (-22)/18 + 20/90. What are the prime factors of ((-18)/12)/(3*m/1036)? 2, 7, 37 Let l(c) = 464*c + 7990. List the prime factors of l(69). 2, 83, 241 Let o = -818 + 1556. Suppose -5*v + o + 7 = 0. Let s = v - 69. List the prime factors of s. 2, 5 Let k be -2 - ((-9)/18)/(2/260). Suppose -74 + 11 = -3*q. Let m = k - q. What are the prime factors of m? 2, 3, 7 Let r = 667 - 604. What are the prime factors of 2/9 + 37534/r? 2, 149 Suppose 54*x + 24416 = 62*x. List the prime factors of x. 2, 7, 109 Suppose j - n = -60, 2*n = -j - 22 - 44. Let t = 67 + j. Suppose -3*q + t = -52. List the prime factors of q. 19 Let z(b) = -94*b + 122. Let l be z(9). Let c = l + 1536. List the prime factors of c. 2, 7, 29 Let r = 59 + -56. Let l be 0/(-1*(-2 + r)). Suppose 3*d - 1 = -2*x, -3*d = -x - l + 5. List the prime factors of x. 2 Suppose -1633 = -9*y - 2308. Suppose 2*j = -3*d + 866, d - 2*j = -0*d + 278. Let x = d + y. What are the prime factors of x? 211 Suppose -720*t + 97959 = 5*i - 723*t, -4*i = -5*t - 78349. List the prime factors of i. 2, 3, 23, 71 Let j = 49 - 15. Let s = -26 + j. Suppose 0 = s*o - 4*o - 160. What are the prime factors of o? 2, 5 Let v(j) = -26*j**3 + 8*j**2 + j - 11. Let n be v(-3). Let s = 1446 - n. List the prime factors of s. 2, 7 Suppose 21*p = 15*p + 120. Let r = -8 + p. What are the prime factors of (-28)/r*(-2 - 34)? 2, 3, 7 Let l(f) = -f**3 - f**2 + 4*f + 4. Let p be l(-2). Suppose -g - d - 5 = -p*d, d = -2*g - 6. List the prime factors of 59 + (0/(-1) - g). 2, 3, 5 Suppose -2*t + 82 = d - 1497, 0 = 3*t + d - 2369. List the prime factors of t. 2, 5, 79 Suppose 3*g - s = g + 1, 5*g - 7 = s. Suppose 767 = g*x + d, -4*d + 0*d - 20 = 0. What are the prime factors of x? 2, 193 Let b(w) = -208*w - 1535. List the prime factors of b(-8). 3, 43 Suppose -1702108 = -2*y - 10*y - 22*y. List the prime factors of y. 2, 25031 Suppose 2*j = -3*r + 11, 4*j - 12 = -5*r + 3. Let a(l) = -8*l + 3*l**2 - l - r*l**2 + 5*l**2. What are the prime factors of a(12)? 2, 3 Suppose 13*g = 5*g + 3032. Let q = 762 - g. What are the prime factors of q? 383 Suppose r + 2 = 0, 0 = 4*f + 4*r + 1987 - 831. Let h = f + 1324. List the prime factors of h. 17, 61 Suppose 0*z + 88 = 5*x + 3*z, 2*x + z = 36. Let q be (-177)/(((-48)/x)/4). Let i = q - 198. What are the prime factors of i? 97 What are the prime factors of (-5)/5*(39 + -23515 + 10/2)? 7, 479 Let g be (-48190)/55 + (-14)/(-77). Let r = g + 1237. What are the prime factors of r? 19 Let z(a) = -5*a**2 - 11*a - 13. Let o(p) = -p**2 - p + 1. Let u(q) = 4*o(q) - z(q). Let y be u(-6). Suppose -28 + 105 = y*x. List the prime factors of x. 7 Suppose 0 = -113*y + 84125 + 42661. List the prime factors of y. 2, 3, 11, 17 Suppose 7*x - 4*x = 6. Let g be -2*x/(-1)*(-28)/8. Let w(s) = -4*s + 20. What are the prime factors of w(g)? 2, 19 Let y(o) = -o**3 + 11*o**2 + 17*o + 18. Let p = -236 - -247. What are the prime factors of y(p)? 5, 41 Let a(s) = 24*s**2 - 28*s + 51. List the prime factors of a(15). 3, 13, 43 Let q(r) = 303*r**3 - 9*r + 8. Let f = 249 - 248. List the prime factors of q(f). 2, 151 Let r(y) be the first derivative of 135*y**2 - 117*y + 121. What are the prime factors of r(4)? 3, 107 What are the prime factors of -4 + 83400 - (5 + -18)? 3, 27803 Suppose k - 25 = -4*k. Suppose -k*x + 1257 = -683. Suppose 5*i - s - 264 = 0, 5*i + 5*s + 148 = x. List the prime factors of i. 2, 13 Let q(a) = 1068*a - 2546. What are the prime factors of q(9)? 2, 3533 Let z = 10862 - -562. List the prime factors of z. 2, 3, 7, 17 Suppose 30 = -2*g + 416. Let l = 807 - g. What are the prime factors of l? 2, 307 Let k(i) = i**3 - 13*i**2 + 9*i + 11. Let g(b) = -b + 24. Let r(d) = 12*d**3 - d**2 + d - 1. Let a be r(1). Let t be g(a). List the prime factors of k(t). 2
{ "pile_set_name": "DM Mathematics" }
in increasing order. s, k, v Suppose 9 = -2*x + 1, -5*x - 26 = -2*a. Suppose -2*c = -a + 5. Sort 4, 5, c in increasing order. c, 4, 5 Let w be (2*(-3)/(-4))/3. Let u = 28 - 24. Let r be 5*u*3/45. Sort -0.4, w, r in descending order. r, w, -0.4 Let c = 145 - 144.8. Put -4, 1, c, 5 in descending order. 5, 1, c, -4 Let j = 0 + -7. Let i = 7.07 + j. Let k = -2066 - -2070. Sort k, i, 2. i, 2, k Let l = -2/5 + -4/15. Let h = 14 + -15. Sort 0, l, h in ascending order. h, l, 0 Let p = -163 + 161. Let i = -0.93 + -0.07. Sort p, i, -0.3. p, i, -0.3 Let n = 210.8 - 87.1. Let p = n + -124. Sort 0.4, 4, 3/7, p. p, 0.4, 3/7, 4 Let i = 68 - 73. Sort i, 2, -2 in descending order. 2, -2, i Suppose 66 - 38 = 7*o. Sort o, -3, 2, 5 in increasing order. -3, 2, o, 5 Let h(t) = -7*t + 10. Let b be h(2). Let j = -6 - 4. Let f = -5 - j. Put -1, b, f in increasing order. b, -1, f Let w = 1230 + -1230.5. Sort 1, w, 62 in descending order. 62, 1, w Let y(i) = i**2 - 17*i + 28. Let w be y(15). Let m = 8 + -12. Put m, -0.1, w in decreasing order. -0.1, w, m Let y = -7 - -6.7. Let q = -0.92 + -0.08. Sort y, q, 0.3. q, y, 0.3 Let s = -0.066 - -0.166. Let x be (2/6)/(5/9). Sort s, -2/11, x in ascending order. -2/11, s, x Let t(m) = m**3 - 4*m**2 + 2*m + 3. Let i be t(3). Suppose -4*q + 4*z + 18 = -18, 2*q + 3*z = -2. Suppose -q*x + 10 = -3*x. Sort -4, i, x in decreasing order. x, i, -4 Suppose -3*j - 178 = 13*t - 14*t, -3*j = -5*t + 194. Sort 0, -1, j in descending order. 0, -1, j Let i be (-32)/20*5/(-2). Let d = -9 + 5. Let k be 1*-2 + (15 - 12). Sort k, d, i in increasing order. d, k, i Let f = 196 - 194. Sort f, 5, -14 in descending order. 5, f, -14 Let x = 42 + -38. Suppose 4*z + 19 = 7. Sort x, 8, z in decreasing order. 8, x, z Let g = 0.47 - 0.57. Let v = -1243/7 + 178. Put v, -1/2, 2/3, g in decreasing order. 2/3, v, g, -1/2 Suppose 2*z = 3*t - 9, -3*t - 2*t + 15 = -2*z. Suppose b + 6 = w, z = -w + 5*b - 2 + 12. Let p be (-84)/30 - 1/w. Put p, 3, 4 in ascending order. p, 3, 4 Let v = -14/15 - -32/45. Put v, 0, 0.4, -2/63 in decreasing order. 0.4, 0, -2/63, v Let v = 79.8 + -64. Let n = 16 - v. Let x be (-2)/8*8/22. Sort -2, x, n in increasing order. -2, x, n Let h = -3.375 + -0.205. Let c = h - -3.4. Let z = -1.82 + c. Sort -5, 0.2, z. -5, z, 0.2 Let j = -6 + 4. Let b = -59 + 45. Let v = -10 - b. Put j, -3/2, v in decreasing order. v, -3/2, j Suppose 54 = 5*m + c, 2*m - 5*c = 3*m - 6. Suppose -4*d - 9 = m. Suppose 2*i = 4*i - 6. Sort d, i, -4 in decreasing order. i, -4, d Suppose 25 = -n + 6*n. Let g = 100 - 100.029. Let y = 5.971 - g. Sort y, n, 2 in decreasing order. y, n, 2 Let c = -293 + 300. Put c, -9, -3, -2 in ascending order. -9, -3, -2, c Suppose -3*t - 2 = -8. Let g be 1 - t*(3 - 4). Let i be (12/g)/(-6 - -20). Sort -2, -3/5, i in ascending order. -2, -3/5, i Suppose 0 = -5*r - 4 - 6. Let o be 17/(-4)*(-8 + 1 + 3). Suppose 15*m - o*m - 6 = 0. Put m, r, -5 in ascending order. -5, m, r Suppose -5*x = -2*p + 3*p - 12, -2*x + 12 = 4*p. Sort 41, 3, x in ascending order. x, 3, 41 Let h = -4 - -18. Let w = h - 22. Let m be 6/w - 18/8. Sort 5, m, -1 in ascending order. m, -1, 5 Suppose 6 = 3*p - 3. Let u be (-6)/(-9) - (4 + (-8)/6). Put p, -4, u in decreasing order. p, u, -4 Let j = -257/20 + 58/5. Let f = 2 - 1.6. Sort -3, j, f. -3, j, f Let c = -6 + 11. Sort -5, c, 0, 23. -5, 0, c, 23 Let d be 24/(-16) - (-152)/80. Sort -25, 0.5, d in increasing order. -25, d, 0.5 Suppose -3*j - 4 = -19. Let r = -2 - -4. Suppose 12 - 36 = -3*v + 3*q, -r = -4*v - 2*q. Sort v, 1, j in increasing order. 1, v, j Let h = 38 - 54. Let d be (h/(-20))/((-1)/5). Let x = -339/5 + 68. Put 2, d, x in descending order. 2, x, d Suppose -2*c = -4*u - 0 + 6, -4*c - 3 = -5*u. Let f be ((-10)/2)/(2 - c). Put f, 1, -2, -3 in ascending order. -3, -2, 1, f Suppose -2*l - 9 = -d, -3*l - 10 = d + d. Put -2, 2, d, -3 in increasing order. -3, -2, d, 2 Suppose -5*g + 8*g = 9. Suppose 4 = -4*k + 2*d + 2*d, -g*k = 2*d - 12. Let j be 9/3 + -2 + 0. Put k, j, 11 in descending order. 11, k, j Let l = -197/455 + -9/65. Sort -4, l, -0.2, 1/6. -4, l, -0.2, 1/6 Let r be -4 + 70/7 + -3 + 0. Put 12, r, -3 in ascending order. -3, r, 12 Let w = 0.4518 + 0.0482. Let u = -0.1 + -0.9. Sort 0.03, w, u. u, 0.03, w Suppose 5*j - 55 = 25. Let i = j - 6. Suppose 2*d + 3*r - 7 = 0, -2*d + 6*r = 2*r. Put d, 0, i in descending order. i, d, 0 Suppose -v = v + 2. Let r be 454/140 + (-4 - -1). Let j = 9/14 - r. Sort j, -5, v in increasing order. -5, v, j Let p = -119.78 + 118. Let q = -0.78 - p. Put -5, 4, q in increasing order. -5, q, 4 Let n(m) = m**3 + 5*m**2 + 4*m + 3. Let i be n(-4). Let u(t) = -4*t**2 - 25*t - 28. Let y be u(-5). Put -5, i, y in increasing order. -5, y, i Let a be 1 - -1 - (-2 - -1). Suppose 5*r + 25 = -g - 0*r, 15 = -3*g - a*r. Suppose 4*s + s + 20 = g. Put -2, s, -5 in descending order. -2, s, -5 Suppose 5*o + 10 = -0*x + x, 5*o = 5*x - 30. Suppose 0 = r - 5 + 6. Put r, 1, -5, x in decreasing order. x, 1, r, -5 Let m = 45 + -32. Let d = -8 + m. Sort d, 4, -11 in decreasing order. d, 4, -11 Let l be (0/5 - 4)/(-6). Put -1, l, -2/3 in decreasing order. l, -2/3, -1 Let h = -240 + 244. Let s be (-1)/(-2)*(17 - 11). Sort h, -5, 2, s. -5, 2, s, h Suppose 2*a + 55 = 5*q, 4*a = -5*q - 0*q + 55. Suppose 4 = q*o - 10*o. Suppose -s = -4*l - 18, -3*s - 15 = 3*l + 6. Sort -3, o, l in ascending order. l, -3, o Let i be (4/10)/(92/20). Let c = 0.022 + 0.054. Let q = -4.924 - c. Sort i, q, 0.5 in increasing order. q, i, 0.5 Suppose 4*s - 3*s = 2. Suppose 0 = m - 4*d + 6, s*d = 4*m - 3*d + 13. Sort 2, -3, m in decreasing order. 2, m, -3 Let o = -289840/181953 - 10/7911. Let y = -6/23 - o. Let t = -648/13 - -50. Sort y, t, 0.2. t, 0.2, y Let k(m) = 3*m**2 - 9*m + 8. Let o be k(3). Let x(p) = -5*p**2 - 3*p - 2. Let i be x(-1). Sort o, 1, i. i, 1, o Let p = 12581/11 + -1141. Sort 0.3, 2/3, p, 3 in descending order. 3, p, 2/3, 0.3 Let b(r) = -2*r**2 + 4*r - 3. Let c be b(2). Let h = c + 2. Let q be (-2)/5*(1 - 2). Sort h, 3/4, q in decreasing order. 3/4, q, h Suppose 607 = -10*o - 1113. Let g be 8/(-36) + o/36. Let q(z) = z**2 - z + 1. Let t be q(2). Sort 2, g, t in descending order. t, 2, g Let n(a) = 2*a - 12. Let v be n(8). Let y = 20 + -19.6. Let h = y + 0.1. Put -5, v, h in increasing order. -5, h, v Let y = -8 + 8.2. Let k = -0.0563 - 4.9437. Let b = 4.1 - 0.1. Sort b, k, y in ascending order. k, y, b Suppose -5*y + 3 = 18, -5*y - 27 = -3*t. Suppose -2*s + s + 4*r + 6 = 0, 5*s - 3*r + 4 = 0. Put s, -3, t, 1 in ascending order. -3, s, 1, t Let v = 400 - 423. Sort v, -3, 0 in decreasing order. 0, -3, v Let b = -4 + 10/3. Let s = 4/3 + b. Sort s, 0, -0.2 in decreasing order. s, 0, -0.2 Let j = 8 - 4. Let c = 17 - 14. Suppose c*r - 10 = -2*r. Put 3, r, j in increasing order. r, 3, j Let q = -5 + 7. Let n(d) = -q*d - d**3 - d + 5 + 4*d. Let k be n(0). Put k, 3, -3 in descending order. k, 3, -3 Let m be 2/(-6) + (-4 - (-102)/(-18)). Sort 3, m, -3, -5 in decreasing order. 3, -3, -5, m Let n = -123/92 + 25/23. Sort 0.2, -2, n, 4/9 in descending order. 4/9, 0.2, n, -2 Let z be (16/5)/(-2)*10/(-4). Let w = -22/5 + z. Sort -1/2, -5, 0.04, w in increasing order. -5, -1/2, w, 0.04 Let d = -0.12 + -0.18. Let g = -5.2 - -0.2. Let n = g + 5.05. Sort -3, d, n. -3, d, n Suppose 0 = -30*l + 105 + 15. Suppose -13 = 2*r - 3. Suppose -8 = -k - 2*p, -2*k + 9 = k + 3*p. Sort l, k, r in decreasing order. l, k, r Let p be 2/(-3) - 5/(-3). Let m be -5*(1 + -1 + p). Suppose 0 = -34*w + 17*w + 17. Put m, w, 5 in increasing order. m, w, 5 Let s = -0.9 + -4.1. Let g = 304 - 305. Put g, s, 0.1 in descending order. 0.1, g, s Suppose -7*t = 4*t - 55. Suppose 0 = -2*i + 6*i. Suppose i = -3*r + 3*v - 3, -5*v = 2*r + r - 29. Sort t, r, -5. -5, r, t Let y = 28 + -55/2. Sort 0.05, y, -4 in descending order. y, 0.05, -4 Let z be ((-50)/20)/(-2 - (-20)/8). Let y = -4 + 9. Suppose u - 1 + y = 0. Sort 2, u, z in decreasing order. 2, u, z Let o be 6/(-9) + 39/(-9). Suppose 56*m - 227 = -451. Sort o, 0, m. o, m, 0 Suppose 0 = -2*l - 0*p + 2*p + 2, 3*l - 31 = -4*p. Suppose 2*n = 2*n + 5*n. Sort l, n, 1. n, 1, l Let y = 34 - 32. Let t(d) = -d**2 + d**2 - d**2 + 15*d + 0*d**y - 12. Let s be t(14). Put 5, 0.3, s in decreasing order. 5, s, 0.3 Let i = 43 - 43.1. Sort
{ "pile_set_name": "DM Mathematics" }
). -2*b**2 + 14 Let w(x) = 10*x - 25. Let a(v) = -185*v. Calculate w(a(n)). -1850*n - 25 Let t(w) = -w. Suppose 24*b = 19*b. Let j(r) be the second derivative of 0*r**2 + r + 0 + b*r**3 + 17/12*r**4. Calculate j(t(o)). 17*o**2 Let u(g) = -9765*g**2. Let o(n) = 18*n**2. Determine u(o(y)). -3163860*y**4 Let j(c) = 23*c - 34. Let i(v) = 3*v**2 + 14. Calculate j(i(m)). 69*m**2 + 288 Let l be (-24)/(-18)*(-1 - -7). Let j(v) = 15*v - l*v - 5*v. Let f(z) be the third derivative of -13*z**4/24 + 3*z**2. What is j(f(a))? -26*a Let k(m) = 3*m. Let c(h) be the third derivative of 19*h**5/60 - 220*h**2. What is k(c(x))? 57*x**2 Let o(i) = 12*i**2. Let c(a) be the first derivative of -a**5/20 - 24*a**2 - 25. Let v(g) be the second derivative of c(g). Calculate o(v(y)). 108*y**4 Let s(b) = 1797*b. Let z(y) = -10*y**2 - 2*y. Calculate s(z(u)). -17970*u**2 - 3594*u Let d(r) = -101*r**2. Let y(w) = 45*w**2. Let p(v) = -4*d(v) - 9*y(v). Let o(n) = -209*n**2. Calculate o(p(c)). -209*c**4 Let j(k) be the second derivative of k**4/4 + 2*k - 3. Let v(r) = r**2 + 2. Let h(s) = -s**2 - 1. Let f(a) = 2*h(a) + v(a). Determine f(j(d)). -9*d**4 Let o(l) = 0*l + 4*l - 3*l. Let m(g) be the third derivative of -7*g**4/24 + 430*g**2. Determine o(m(x)). -7*x Let r(g) = 47999 - 47999 - g. Let t(o) = 813*o**2. Calculate r(t(w)). -813*w**2 Let j(a) = 9*a - 865 + 865. Let q(t) = -13*t**2. What is q(j(v))? -1053*v**2 Let a(k) = 14538*k**2. Let s(w) = 11*w + 4. What is s(a(u))? 159918*u**2 + 4 Let a(y) = -y**2 - 12508*y. Let b(w) = 2*w. Calculate b(a(p)). -2*p**2 - 25016*p Let l(d) be the first derivative of -d**3 + 3. Let w(f) be the third derivative of 1/24*f**4 + 10*f**2 + 0 + 0*f + 0*f**3. Determine l(w(b)). -3*b**2 Let i(g) be the first derivative of -7*g**3/2 - 36*g - 19. Let v(y) be the first derivative of i(y). Let r(b) = 2*b + 2 - 2. What is r(v(w))? -42*w Let f(b) = 10*b. Let g(v) be the first derivative of -5*v**3/3 + v**2 + 2*v + 14. Let z(k) = 16*k**2 - 7*k - 7. Let m(j) = 7*g(j) + 2*z(j). Calculate m(f(i)). -300*i**2 Let n(b) be the second derivative of -2*b**4/3 + b**3/3 + 92*b. Let v(c) = -c. Determine v(n(w)). 8*w**2 - 2*w Let k(i) = 3*i. Let a(b) = -41*b - 6. Let f(r) = 14*r + 2. Let s(n) = 4*a(n) + 14*f(n). Give s(k(p)). 96*p + 4 Let u(c) be the third derivative of -c**5/60 + 47*c**4/24 - 187*c**2. Let y(x) = -2*x**2. Calculate y(u(g)). -2*g**4 + 188*g**3 - 4418*g**2 Let x(u) = -u. Let z(i) = i - 66330. Determine x(z(d)). -d + 66330 Let k(r) be the second derivative of -r**3 + 41*r + 2. Let t(o) = -3*o. What is t(k(p))? 18*p Let i(v) = -33*v + 28*v + 6*v + 0 + 0. Let y(k) = 4*k. Calculate i(y(c)). 4*c Let c(p) be the third derivative of -1/24*p**4 + 0*p + 0*p**3 + 68*p**2 + 0. Let f(z) = -19*z - 2*z + 4*z. Calculate f(c(o)). 17*o Let q(h) be the third derivative of h**5/60 + 43*h**2. Let y(j) = -10*j**2 - 1. What is q(y(f))? 100*f**4 + 20*f**2 + 1 Let t(l) = -2*l. Let f(v) be the third derivative of -15*v**4/8 - 487*v**2. Calculate t(f(m)). 90*m Let a(g) = 2*g**2. Let i(p) = p + 2. Let q(r) = 18*r - 18. Let s(m) = -45*i(m) - 5*q(m). What is s(a(w))? -270*w**2 Let q(n) = 3*n + 0*n + 2 + 0*n. Let x(p) = 16*p + 11. Let s(m) = -22*q(m) + 4*x(m). Let w(z) = 412*z + 2*z**2 - 412*z. Calculate s(w(u)). -4*u**2 Let u(g) = 132*g - 77. Let y(b) = -7*b + 4. Let q = 215 + -138. Let c(h) = q*y(h) + 4*u(h). Let o(r) = r**2. Give c(o(z)). -11*z**2 Let c(g) = 5*g**2 + 3*g. Let z(p) be the first derivative of -p**3/3 - 120. Give c(z(y)). 5*y**4 - 3*y**2 Let l(h) = -283*h**2. Let k(j) = -6*j**2 - 4*j + 10. Let y(x) = 13*x**2 + 10*x - 25. Let w(r) = 5*k(r) + 2*y(r). Calculate l(w(c)). -4528*c**4 Let p(k) = -444383*k. Let c(a) = 2*a. Give p(c(t)). -888766*t Let n be (-4)/(-24)*3/3. Let r(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 5*p - n*p**4. Let d(h) = -4*h. Give d(r(t)). 8*t**2 Let s(l) = -4*l. Let x(v) be the second derivative of 5*v**3/6 - 5*v + 1. What is s(x(a))? -20*a Let b(n) = -n**2. Let w(i) = -18*i + 5. Let h(p) = -45*p + 12. Let o = -60 + 65. Let z(k) = o*h(k) - 12*w(k). What is z(b(g))? 9*g**2 Let s(q) be the second derivative of -q**4/6 - 99*q - 2. Let k(n) = 150*n. What is s(k(a))? -45000*a**2 Let d(f) = 14*f**2 - 715*f. Let x(c) = -2*c**2. Calculate d(x(q)). 56*q**4 + 1430*q**2 Let m(n) = 42*n**2 + 550*n. Let u(y) = -y. Give m(u(i)). 42*i**2 - 550*i Let r(m) = -1086*m**2 - 1103*m**2 + 2117*m**2. Let u(t) = 3*t**2. What is r(u(j))? -648*j**4 Let u(i) = -i. Let c(k) be the first derivative of -2 + 0*k + 1/2*k**2. Let t(y) = c(y) + 2*u(y). Let f(w) = -w**2. What is f(t(q))? -q**2 Let n(z) = 2*z. Let l(w) = -6 - 2 + 29 - 25 + 68*w. Give l(n(x)). 136*x - 4 Let f(c) be the first derivative of 19*c**5/60 - 15*c**2/2 + 18. Let k(y) be the second derivative of f(y). Let a(p) = -2*p**2. Determine a(k(t)). -722*t**4 Let a(h) = 380*h - 24. Let i(s) = -379*s + 18. Let r(c) = -3*a(c) - 4*i(c). Let d(k) = -2*k**2. What is d(r(o))? -282752*o**2 Let o(z) = 3*z**2 - 198*z + 16*z**2 + 198*z. Suppose 2*i = 4*i - 4. Let b(n) = 4*n**2 + 0*n**i - 6*n**2. Calculate b(o(m)). -722*m**4 Let d(f) = -f - 8. Let w(j) = -42*j + 52. What is w(d(o))? 42*o + 388 Let u(p) = -4449*p. Let c(o) = 22*o. Give u(c(b)). -97878*b Let a(z) = -62*z**2. Let q(n) be the second derivative of -n**7/2520 + 25*n**4/12 + 21*n. Let b(w) be the third derivative of q(w). Calculate b(a(t)). -3844*t**4 Let v(t) = -4*t. Let g(j) = 7 - 7 - 2*j - 7*j - 21*j. Determine g(v(s)). 120*s Let a(d) = 10*d**2. Let j(y) be the third derivative of 0*y + 0 + 0*y**3 + 0*y**4 - 6*y**2 + 1/60*y**5. What is a(j(t))? 10*t**4 Let i(g) = -635*g**2 - 6*g + 1. Let t(m) = 5*m. Calculate i(t(o)). -15875*o**2 - 30*o + 1 Let k(v) = 9*v. Let i(o) = -2*o**2 - 7. Let m = 79 + -74. Let c(g) = -g**2 - 5. Let q(l) = m*i(l) - 7*c(l). What is k(q(p))? -27*p**2 Let j(r) = -5*r**2 + 4*r. Let w(g) = 4*g**2 - 3*g. Let k(y) = -3*j(y) - 4*w(y). Let l = 22 + -20. Let f(a) = 11 - 11 + l*a. Give f(k(t)). -2*t**2 Let n(l) = 24*l**2. Let z(u) be the second derivative of -u**3/6 + 23*u. What is z(n(o))? -24*o**2 Let z(k) = 60*k - 122*k + 61*k. Let p(a) be the first derivative of a**3/6 - 2*a + 1. Let r(w) be the first derivative of p(w). Determine r(z(o)). -o Let m(l) = -145755 + 145755 - 2*l. Let x(t) = -15*t - 2. Determine m(x(q)). 30*q + 4 Let d(c) = 4*c - 9. Let r(g) = g - 3. Let t(j) = 4*d(j) - 12*r(j). Let n(f) = 180*f. Calculate t(n(p)). 720*p Let q(s) be the first derivative of -s**2/2 + 323. Let i(d) = -6*d**2 + 5. Let c(b) = b**2 - 1. Let n = -5 - 0. Let p(k) = n*c(k) - i(k). Calculate q(p(m)). -m**2 Let f(q) = -q. Let i(d) = 11*d. Let p(c) = -c + 2*c + 5*c. Suppose 3*o + 0*j = -4*j - 7, 0 = 4*o - 5*j + 30. Let t(r) = o*p(r) + 3*i(r). Determine f(t(s)). -3*s Let q(u) = 3*u**2. Suppose 4*w - 20 = k - 22, 0 = -2*w - k + 2. Let x(z) be the third derivative of 0*z - 5*z**2 + w*z**3 - 1/3*z**4 + 0. Determine q(x(f)). 192*f**2 Let p(l) be the first derivative of -21*l**3 + 18. Let c(b) = -b + 0*b + 25 - 25. What is p(c(y))? -63*y**2 Let t(k) = -3*k. Let s(v) = -3561*v**2. Calculate s(t(j)). -32049*j**2 Let a(z) = 19*z**2. Let y(w) be the first derivative of -w**3/3 + 3. Let q(f) = a(f) - 2*y(f). Let i(x) = -x. Give q(i(l)). 21*l**2 Let p(f) = 159*f**2. Let x(q) = -3*q + 69. Calculate x(p(v)). -477*v**2 + 69 Let d(q) = 22*q. Let r(o) = -6*o. Let z(c) = -2*d(c) - 7*r(c). Let y(p) = p**2 + 1. Determine y(z(h)). 4*h**2 + 1 Let p(t) = 7*t. Let i(m) = 154471*m. Calculate i(p(n)). 1081297*n Let z(u) = -4*u**2 - 7*u. Let d(q) = 4*q**2 + 6*q. Let c(m) = 7*d(m) + 6*z(m). Let s(v) = -309*v**2. What is c(s(k))? 381924*k**4 Let s(a) be the first derivative of a**2 + 63. Let q(z) be the first derivative of 7*z**3 + 2. Give q(s(o)). 84*o**2 Let j(k) be the second derivative of 7*k + 0 + 1/3*k**3 + 0*k**2. Let p(f) = -26*f**2. Calculate j(p(u)). -52*u**2 Suppose 2*z - 12 = -z. Let r(t) = -t + t - z*t**2. Let y(l) = 8*l - 8*l + l. Give y(r(a)). -4*a**2 Let d(a) = 1120*a**2. Let x(b) = 253*b**2 - 2*b. What is x(d(c))? 317363200*c**4 - 2240*c**2 Let x(r) = 2*r - 205. Let d(z) = 2*z**2 - 31*z. Calculate x(d(n)). 4*n**2 - 62*n - 205 Let c(m) = 84*m. Let u(l) = 297*l. Calculate c(u(q)). 24948*q Let q(k) = -36*k - 10. Let a(r) = -11*r - 3. Let t(m) = 10*a(m) - 3*q(m). Let
{ "pile_set_name": "DM Mathematics" }
of picking 4 x. 0 Calculate prob of picking 4 k when four letters picked without replacement from {s: 1, n: 6, k: 11}. 11/102 Three letters picked without replacement from olmoxyyw. What is prob of picking 2 l and 1 y? 0 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from jju. 2/3 Two letters picked without replacement from lpplpl. Give prob of picking 2 l. 1/5 Calculate prob of picking 3 h and 1 z when four letters picked without replacement from zzzzzhhzhhhzzzhzhzz. 35/323 Four letters picked without replacement from scncnncccn. Give prob of picking 1 s and 3 c. 1/21 Two letters picked without replacement from {a: 16, n: 2}. What is prob of picking 1 a and 1 n? 32/153 What is prob of picking 2 k when two letters picked without replacement from qkykhqqqq? 1/36 Calculate prob of picking 2 b when two letters picked without replacement from btyyyiobtpyi. 1/66 What is prob of picking 2 f and 2 z when four letters picked without replacement from {p: 1, y: 3, z: 7, f: 3}? 9/143 Calculate prob of picking 3 d when three letters picked without replacement from {j: 14, d: 5}. 10/969 Three letters picked without replacement from qyqbqqqpry. What is prob of picking 1 b, 1 y, and 1 p? 1/60 Two letters picked without replacement from {r: 1, d: 2}. What is prob of picking 2 d? 1/3 Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 4, u: 1, z: 1, q: 11}. 1/34 What is prob of picking 1 r and 1 m when two letters picked without replacement from {b: 3, r: 3, m: 1, w: 2, e: 1, f: 1}? 3/55 What is prob of picking 2 z when two letters picked without replacement from gzzqzqq? 1/7 Four letters picked without replacement from {s: 1, f: 2, d: 12, u: 4}. What is prob of picking 1 s, 1 u, and 2 d? 22/323 Four letters picked without replacement from caqqoqaioiokaoaiq. What is prob of picking 3 i and 1 a? 1/595 Two letters picked without replacement from {w: 1, y: 1, c: 1, l: 2, d: 1, t: 1}. What is prob of picking 1 w and 1 t? 1/21 Calculate prob of picking 1 l and 1 g when two letters picked without replacement from ldldllgd. 1/7 What is prob of picking 2 n and 2 o when four letters picked without replacement from nookuonvuuukdnuunuko? 12/1615 What is prob of picking 1 s and 1 j when two letters picked without replacement from {j: 3, l: 3, k: 5, d: 1, s: 6, m: 1}? 2/19 What is prob of picking 1 e, 1 x, and 1 i when three letters picked without replacement from {i: 1, y: 3, x: 5, e: 4, j: 1}? 5/91 Four letters picked without replacement from {n: 1, a: 3, j: 2, f: 5, x: 1}. Give prob of picking 3 f and 1 n. 2/99 What is prob of picking 1 q and 1 m when two letters picked without replacement from {e: 1, m: 1, z: 1, q: 1, h: 1}? 1/10 Calculate prob of picking 2 m and 1 x when three letters picked without replacement from xxfxxxmmxx. 7/120 Calculate prob of picking 1 j and 2 q when three letters picked without replacement from jzjjdhqqj. 1/21 Calculate prob of picking 2 t and 2 r when four letters picked without replacement from {m: 1, r: 2, h: 1, l: 1, t: 2}. 1/35 Three letters picked without replacement from {z: 3}. What is prob of picking 3 z? 1 Four letters picked without replacement from vmyamayxtaam. Give prob of picking 1 t, 1 a, and 2 y. 4/495 Three letters picked without replacement from {z: 10}. What is prob of picking 3 z? 1 What is prob of picking 3 u and 1 f when four letters picked without replacement from {f: 3, m: 1, u: 3, z: 2, l: 6}? 1/455 What is prob of picking 2 o when two letters picked without replacement from ooooooooo? 1 Four letters picked without replacement from wwwjnnw. What is prob of picking 4 w? 1/35 Calculate prob of picking 4 j when four letters picked without replacement from {j: 7}. 1 Three letters picked without replacement from opopoo. What is prob of picking 1 p and 2 o? 3/5 Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ldllllllldll. 9/22 What is prob of picking 1 y, 1 n, and 1 o when three letters picked without replacement from oossnysysysjyyyjsys? 14/969 Calculate prob of picking 1 g, 1 z, and 1 b when three letters picked without replacement from {b: 2, g: 3, i: 2, z: 1, q: 4}. 3/110 What is prob of picking 1 n and 1 z when two letters picked without replacement from bznswzp? 2/21 Four letters picked without replacement from ffffffffffffv. Give prob of picking 3 f and 1 v. 4/13 What is prob of picking 2 e and 2 w when four letters picked without replacement from wewnwwwwnwe? 7/110 Calculate prob of picking 1 w and 1 k when two letters picked without replacement from spkkawk. 1/7 What is prob of picking 2 s when two letters picked without replacement from {y: 12, s: 3, a: 1}? 1/40 Three letters picked without replacement from {g: 3, e: 3, f: 1, w: 2, o: 2, k: 4}. What is prob of picking 1 w and 2 e? 6/455 Calculate prob of picking 1 p and 2 x when three letters picked without replacement from xwxpxxxxxxxxxxxx. 13/80 Calculate prob of picking 3 q when three letters picked without replacement from {n: 3, q: 13}. 143/280 Three letters picked without replacement from {q: 16, i: 2}. What is prob of picking 1 i and 2 q? 5/17 Two letters picked without replacement from {d: 2, n: 1, j: 1, k: 5}. What is prob of picking 1 j and 1 d? 1/18 Four letters picked without replacement from {u: 1, a: 2, d: 2, j: 6}. What is prob of picking 1 u, 2 j, and 1 d? 1/11 Two letters picked without replacement from {v: 2, x: 3, k: 2, h: 2, a: 2, p: 1}. What is prob of picking 2 k? 1/66 Calculate prob of picking 1 p, 1 v, and 1 c when three letters picked without replacement from vccprookvopp. 3/55 Four letters picked without replacement from kprwwvgrwwrvgk. What is prob of picking 2 k, 1 w, and 1 g? 8/1001 Three letters picked without replacement from {c: 7, b: 1}. Give prob of picking 1 c and 2 b. 0 Four letters picked without replacement from {l: 6, r: 4}. What is prob of picking 4 r? 1/210 What is prob of picking 4 d when four letters picked without replacement from {j: 10, d: 10}? 14/323 What is prob of picking 2 k when two letters picked without replacement from {j: 3, s: 4, k: 6}? 5/26 Three letters picked without replacement from {h: 1, g: 1, k: 1, q: 4, r: 4}. Give prob of picking 1 r, 1 h, and 1 k. 4/165 Three letters picked without replacement from puomouppm. Give prob of picking 2 p and 1 o. 1/14 Calculate prob of picking 2 k when two letters picked without replacement from {s: 2, j: 5, p: 1, w: 5, k: 5}. 10/153 Three letters picked without replacement from {c: 1, z: 4, d: 3, k: 1, a: 4, f: 6}. Give prob of picking 1 d, 1 f, and 1 z. 24/323 What is prob of picking 1 t and 1 v when two letters picked without replacement from {b: 1, d: 1, t: 1, x: 2, v: 1, y: 1}? 1/21 Two letters picked without replacement from bguugi. What is prob of picking 1 b and 1 u? 2/15 Two letters picked without replacement from {u: 18, l: 2}. Give prob of picking 2 u. 153/190 Two letters picked without replacement from {g: 1, k: 1, a: 3, b: 1, o: 3, p: 2}. What is prob of picking 1 b and 1 g? 1/55 Four letters picked without replacement from iieiiieijieieeiiiij. Give prob of picking 3 e and 1 i. 10/323 Calculate prob of picking 4 m when four letters picked without replacement from {m: 17, p: 1}. 7/9 Two letters picked without replacement from rrvmbrpvrmrbmbrrb. Give prob of picking 1 p and 1 v. 1/68 What is prob of picking 3 t and 1 i when four letters picked without replacement from ziziztiittt? 8/165 Calculate prob of picking 3 j and 1 y when four letters picked without replacement from {j: 4, y: 2, x: 4, d: 1}. 4/165 What is prob of picking 1 v, 1 q, and 1 h when three letters picked without replacement from {v: 1, k: 2, q: 1, h: 1}? 1/10 Three letters picked without replacement from kqqiiqqqkqkqkq. Give prob of picking 1 i and 2 q. 2/13 What is prob of picking 1 k and 1 l when two letters picked without replacement from {g: 8, c: 1, k: 1, s: 1, l: 1}? 1/66 Two letters picked without replacement from tfoftyftyaf. Give prob of picking 2 y. 1/55 What is prob of picking 1 e and 1 j when two letters picked without replacement from {b: 3, w: 5, j: 2, d: 5, e: 5}? 1/19 Calculate prob of picking 2 i when two letters picked without replacement from oioioigioo
{ "pile_set_name": "DM Mathematics" }
336) + (sqrt(336) - (-2*sqrt(336) + sqrt(336)) - sqrt(336)) + sqrt(336))*-5 - sqrt(336))/(sqrt(1008) + sqrt(1008)*-2)). 12 + 16*sqrt(3) Simplify (-1*(sqrt(2) + 1) + sqrt(2) + 4 + sqrt(72) + -1 + sqrt(242) + -4 + -1 + sqrt(242) + 2)**2. -56*sqrt(2) + 1569 Simplify ((-4*(sqrt(119) + 2*sqrt(119)))/(sqrt(84)/sqrt(432)))**2. 88128 Simplify 0 + 5 + -3 + (-5 + 1*sqrt(931))**2 + sqrt(931). -63*sqrt(19) + 958 Simplify ((-1*sqrt(96) - sqrt(96) - sqrt(6)) + sqrt(66)/(1*sqrt(11)))/((-1*sqrt(1936))/sqrt(8)). 8*sqrt(3)/11 Simplify -3*((sqrt(5200) - (sqrt(5200)*-2)**2) + sqrt(5200) + 4). -120*sqrt(13) + 62388 Simplify (-2 + (2 + sqrt(425) + 4 - (-4 + -3*(sqrt(17) + sqrt(34)/sqrt(2)))))**2. 176*sqrt(17) + 2121 Simplify (-6*((sqrt(104) + sqrt(104)*1)*-1)/((sqrt(56) + sqrt(224))/sqrt(7)))**2. 208 Simplify ((sqrt(567) - (sqrt(567) + -4 + sqrt(567)))*6 + sqrt(567))*-3*-2. -270*sqrt(7) + 144 Simplify (-3*sqrt(350)*2)/sqrt(7) + sqrt(300)/(1*sqrt(216)). -175*sqrt(2)/6 Simplify 2*(sqrt(637) + sqrt(637) + (sqrt(637)*-1 + sqrt(637) - sqrt(637)) + -4) + ((1*sqrt(637))**2 - 2*sqrt(13)*3). 8*sqrt(13) + 629 Simplify (-3 + sqrt(931)*3 - (3*sqrt(931) - sqrt(931))*-1)**2*-3. -69852 + 630*sqrt(19) Simplify (-1 + (sqrt(363) - (sqrt(363)*-1 + sqrt(363)) - sqrt(363)) + (1 + sqrt(363))*3)**2*-2. -6542 - 264*sqrt(3) Simplify (-1*((sqrt(102) - sqrt(102)*1) + sqrt(102)) - (sqrt(102) - (sqrt(102) - sqrt(102)*-2*-6)))/(((sqrt(24) + sqrt(24) + sqrt(24)*-1)*-1)/sqrt(4)). 13*sqrt(17) Simplify -3*(4 + ((sqrt(242) + (sqrt(242) - (sqrt(242) + 1 + sqrt(242))))**2 - sqrt(14)/sqrt(63)) + 0). -15 + sqrt(2) Simplify ((2*sqrt(1584) + (sqrt(11) + -2 + sqrt(11))*-5)**2 - (((sqrt(176) - (sqrt(176) + 1*sqrt(176) - sqrt(176))) + sqrt(44))/sqrt(4))**2)*6. 1680*sqrt(11) + 13470 Simplify 2*(4 + 1 + sqrt(242))**2*-3*-2. 1320*sqrt(2) + 3204 Simplify (3*sqrt(325))**2 + (sqrt(52)*-3)**2 + -4*(sqrt(1872) + (2*sqrt(1872) - sqrt(1872))*-2). 48*sqrt(13) + 3393 Simplify (sqrt(30)/(sqrt(216)*-5 + sqrt(6)))**2 + (-5*(sqrt(5) + (sqrt(20) + 2*sqrt(20))/sqrt(4)))**2. 1682005/841 Simplify (2*(sqrt(567)*-2*-2 - (3 + 1 + sqrt(567) + sqrt(567))))**2 + -2. -576*sqrt(7) + 9134 Simplify sqrt(27)/((sqrt(9) - (sqrt(9) + sqrt(81)*-2)) + sqrt(9)) + -2 + (sqrt(12)*1)**2*-1*-4. sqrt(3)/7 + 46 Simplify (5 + 4 + ((2 + sqrt(343))*-6 - sqrt(343)) + -5)**2. 784*sqrt(7) + 16871 Simplify ((sqrt(128)*3 + sqrt(8) - sqrt(8))*-5)/((sqrt(144)/(sqrt(6)*2))/sqrt(6)). -120*sqrt(2) Simplify ((sqrt(198) + sqrt(198)*1)*-4)/(sqrt(5324) - 2*sqrt(5324)). 12*sqrt(2)/11 Simplify (sqrt(432)*-2*-4 - sqrt(432)*1*2)**2. 15552 Simplify -6*(sqrt(343) + -2) - (-1*sqrt(1400))/sqrt(2). -32*sqrt(7) + 12 Simplify ((sqrt(792)*4 + sqrt(792))*-3)/((sqrt(144)/(sqrt(8) - sqrt(128)))/sqrt(9)). 270*sqrt(11) Simplify ((sqrt(637) + 0 + sqrt(637))**2*-6 + 5*sqrt(39)/sqrt(3)*2)*3. -45864 + 30*sqrt(13) Simplify (-6*-1*sqrt(33) + sqrt(363)/(sqrt(22)/sqrt(2) + sqrt(11)))/(sqrt(15)/(sqrt(55)/sqrt(704))). 13*sqrt(11)/16 Simplify (4*(sqrt(9)/sqrt(3) - sqrt(3)))**2 + sqrt(21)/(sqrt(14)/sqrt(2)) - ((-5*sqrt(36)*1)/sqrt(12))**2. -75 + sqrt(3) Simplify (2*sqrt(1100) + sqrt(1100) - sqrt(308)/(sqrt(14)/sqrt(2)))/(sqrt(576)*2*5). 7*sqrt(11)/60 Simplify ((-4 + -1*1*sqrt(208) + 3)*5)**2. 200*sqrt(13) + 5225 Simplify (-6*(sqrt(250) + sqrt(250)*1 - sqrt(250)))/(sqrt(18)/(sqrt(27)/sqrt(3)*1)). -30*sqrt(5) Simplify -4 + 0 + (2*sqrt(18)*2)/(sqrt(486) - sqrt(486)*2). -4 - 4*sqrt(3)/9 Simplify (sqrt(6) - sqrt(42)/sqrt(63))/sqrt(2) + 2 + -4 + sqrt(15)/sqrt(5). -2 + 5*sqrt(3)/3 Simplify ((2*sqrt(60))/sqrt(10) - sqrt(6) - sqrt(24)/(2*sqrt(4)))/((sqrt(36) + (2*sqrt(36)*5 - sqrt(36)))/sqrt(12)) + -4. -4 + sqrt(2)/20 Simplify ((sqrt(121) + 5*1*sqrt(121) + ((sqrt(121) + sqrt(121)*-1)*-3 - sqrt(121)))/(sqrt(704) - (sqrt(704) + (sqrt(704) - -5*(sqrt(704) + 2*sqrt(704))))))**2. 275/16384 Simplify (1 + (-4 + (sqrt(448) - sqrt(448)*-1)*3)**2)*4*-2. -129160 + 3072*sqrt(7) Simplify ((sqrt(180)*-2 + -2 + -2*(-2 + sqrt(180)))*4)**2. -1536*sqrt(5) + 46144 Simplify 2 + (sqrt(35)*-2*-2)/(2*sqrt(35)/sqrt(5)). 2 + 2*sqrt(5) Simplify (-3*(sqrt(1300)*5*-6 - sqrt(1300)*-2*-3))**2. 15163200 Simplify ((sqrt(342)*-1*-2)/sqrt(9))/(sqrt(288)*2*-5 - sqrt(288)). -sqrt(19)/66 Simplify (4 + sqrt(128) + 3)**2 + (-5*((sqrt(126) - sqrt(14)) + sqrt(14)))/sqrt(7). 97*sqrt(2) + 177 Simplify -2 + ((4 + (sqrt(245) + 1 - sqrt(245)) + sqrt(245))*-4)**2*6. 6720*sqrt(5) + 25918 Simplify -6*(sqrt(168)/((sqrt(84)/sqrt(4))/sqrt(7)))/(-1*sqrt(32)*-4). -3*sqrt(7)/4 Simplify (-1*sqrt(1377)*2 + -2)**2 + -5*(-4 + sqrt(1377)*1 - sqrt(1377)). 72*sqrt(17) + 5532 Simplify (4*(sqrt(119) + sqrt(119)*1*-1))/(6*(sqrt(7) + sqrt(7)*3)*2). 0 Simplify (-2*((sqrt(80) - -3*(sqrt(80) + 1 - sqrt(80))) + (-2*sqrt(80) - sqrt(80)) + 3 - 4*(1 + sqrt(80))*-4))**2. 9856*sqrt(5) + 64656 Simplify ((sqrt(1404) + sqrt(1404)*-1)/sqrt(3))**2 + -5 + ((sqrt(832) - (0 + sqrt(832) + sqrt(832) + sqrt(832))) + sqrt(832))**2. 827 Simplify -1 + (sqrt(75) - (-2 + (-3*sqrt(75) - sqrt(75))))**2 + sqrt(75) + 5. 105*sqrt(3) + 1883 Simplify -6*((sqrt(42)/sqrt(48) - sqrt(14))/((-1*sqrt(56))/sqrt(8))*-4*5)**2. -2700 Simplify (sqrt(384) - (sqrt(384) + sqrt(384) + sqrt(384)*-2) - sqrt(216)/(1*sqrt(9)))/(sqrt(56)/(sqrt(175)*-2)). -30*sqrt(3) Simplify -6*(sqrt(272)*1 + 5)**2*4. -7128 - 960*sqrt(17) Simplify (((sqrt(136) - (1*sqrt(136) + sqrt(136) + sqrt(136)))*2)/(sqrt(2352)/sqrt(6))*-4)**2. 4352/49 Simplify (-3 + (sqrt(351)*2)/sqrt(3) + sqrt(52)/((sqrt(144)*1 - sqrt(144)) + sqrt(144)))**2. -37*sqrt(13) + 18121/36 Simplify (2 + ((-1 + sqrt(192) - sqrt(192)) + 5 - (3 + -2 + sqrt(192)))*-5)*3. -39 + 120*sqrt(3) Simplify (1*sqrt(152)*-1*-3)/(-4*(-6*sqrt(24)/sqrt(3) - sqrt(8))). 3*sqrt(19)/28 Simplify 2 + -6*((-3*(sqrt(99)*1 + sqrt(99)) - ((1 + sqrt(99))**2 + -2)) + -1). 144*sqrt(11) + 596 Simplify 0 + 5 + sqrt(1125) + 2 + 2 + -5. 4 + 15*sqrt(5) Simplify (0 + -1 + sqrt(19) + sqrt(19) + 0 + -3)**2 - (sqrt(684)*-1 + sqrt(190)/(sqrt(10) + sqrt(60)/sqrt(6))). -21*sqrt(19)/2 + 92 Simplify (sqrt(200)/sqrt(5)*1)/(1*(sqrt(16)/sqrt(2) + sqrt(8)))*2*-5. -5*sqrt(5) Simplify ((sqrt(130) - (sqrt(130) + sqrt(130) + sqrt(130) + -1*sqrt(130) + sqrt(130)))*-4 + sqrt(130))/(sqrt(30)/sqrt(3)*3 + sqrt(10)). 9*sqrt(13)/4 Simplify (-1*(4*((sqrt(288) + -1)*2 - sqrt(288)) - (6*-1*sqrt(288) + 2)))**2. -2400*sqrt(2) + 28900 Simplify ((3*sqrt(80)*-2 - sqrt(80))/(sqrt(490)*2)*-6*1)**2. 72 Simplify -2*(-5 + sqrt(1700) + (sqrt(1700) + sqrt(1700) + 1)**2) + (6*-3*(sqrt(1700) + 1))**2. 6380*sqrt(17) + 537532 Simplify ((sqrt(384) - sqrt(384)*-4)*4)/(sqrt(384)/sqrt(8))*5. 200*sqrt(2) Simplify (((sqrt(1400)*1 + sqrt(1400))*3 + sqrt(1400))/(1*sqrt(567) - sqrt(7) - (sqrt(7) - sqrt(21)/sqrt(3)*3)))**2. 98 Simplify ((sqrt(102) + sqrt(102)*1)*-4*3)/((sqrt(6) - (1*sqrt(66))/sqrt(11) - sqrt(6))*3). 8*sqrt(17) Simplify sqrt(143)/(sqrt(88)/sqrt(72)) - (sqrt(13)*2 + 0 + 2 + sqrt(26)/sqrt(2) + sqrt(13)). -sqrt(13) - 2 Simplify ((sqrt(432) + -1)*2 + -2*sqrt(300) + sqrt(3) + 1 + sqrt(48))**2. -18*sqrt(3) + 244 Simplify (5*2*sqrt(156) - (1*sqrt(156)*1 - sqrt(156)))/(-1*2*sqrt(972)). -5*sqrt(13)/9 Simplify (-1*-2*sqrt(66) + -4*2*sqrt(66))/(1*(sqrt(24) - sqrt(384)))*-2. -2*sqrt(11) Simplify ((sqrt(114) + 3*sqrt(114)*2 - sqrt(114))*-5)/(sqrt(36)/(sqrt(294) + 2*sqrt(294))). -630*sqrt(19) Simplify (sqrt(90)/(sqrt(14)/(-3*sqrt(7))))/(((-4*sqrt(90) + sqrt(90))*-1)/sqrt(10)). -sqrt(5) Simplify 3*((sqrt(1700) + 2 + sqrt(1700) + sqrt(1700)*-2 + sqrt(1700) - sqrt(1700)) + (sqrt(833) + sqrt(833)*-2)*3)**2. -252*sqrt(17) + 22503 Simplify (3*sqrt(144)*4)/(((1*sqrt(1728) - sqrt(1728) - sqrt(1728)) + sqrt(1728) - sqrt(1728))*5). -2*sqrt(3)/5 Simplify (sqrt(77) - (-4*sqrt(77)*-5 - sqrt(77)))/(sqrt(84)/(-4*sqrt(12)))*-6. -432*sqrt(11) Simplify (-3*(sqrt(325) + sqrt(325) + 5*(-3 + sqrt(325)))*3)**2. -85050*sqrt(13) + 1308150 Simplify (1*(sqrt(350) + sqrt(350)*2) - sqrt(350) - sqrt(350))/(-3*(-4*(sqrt(18) + sqrt(2)) + sqrt(2)))*3. sqrt(7)/3 Simplify -2*((sqrt(190)*-1*5)/sqrt(10) - ((sqrt(76)/sqrt(4))**2 + -3)*-3). -96 + 10*sqrt(19) Simplify (-1*-6*sqrt(153)*2)/((sqrt(9) - 2*sqrt(36)/sqrt(4))*-1). 12*sqrt(17) Simplify (1 + sqrt(112) + 2 - -5*(sqrt(112) - -1*sqrt(112))) + 6*(sqrt(252) - sqrt(252)*-1)*-2. -100*sqrt(7) + 3 Simplify 2 + (sqrt(4400)*-3)/((sqrt(36)/sqrt
{ "pile_set_name": "DM Mathematics" }
he third derivative of 19764*z**6 + 495*z**2 wrt z. 2371680*z**3 What is the second derivative of 850*v*x**2 - 324*v*x + 5 wrt x? 1700*v Find the third derivative of -2*c**5*j**3 - 552*c**5*j + 2*c**2*j**3 + 4*c**2*j**2 - 56*c*j**2 - 2*c wrt c. -120*c**2*j**3 - 33120*c**2*j Differentiate 3233*r**2*t**2 - r*t**2 + 2*t**2 + 221*t - 2 wrt r. 6466*r*t**2 - t**2 Find the second derivative of 3*a**3*t**2*u - 2*a**3*t*u**2 - 1088*a**3*u**2 + 3*a**2*t**2*u**2 + 59*t**2 - 2*u**2 wrt t. 6*a**3*u + 6*a**2*u**2 + 118 What is the derivative of -87*f**4 + f**2 + 600? -348*f**3 + 2*f What is the second derivative of 4030*m**2 + 4309*m wrt m? 8060 What is the first derivative of 3*k*s**4 - 2*k*s - 4495*k + 1 wrt s? 12*k*s**3 - 2*k Find the first derivative of -17486*u*z + u - 2*z - 943 wrt z. -17486*u - 2 Find the third derivative of -3*r**5 - 561*r**4 - 1892*r**2. -180*r**2 - 13464*r Differentiate 869*z**4 + 1748 with respect to z. 3476*z**3 What is the first derivative of -112*o**3 + 145? -336*o**2 Find the second derivative of 6*b**2*y**2 + 75*b**2*y - 4*b**2 - b*y**2 + 20*y**3 + 5*y wrt y. 12*b**2 - 2*b + 120*y Differentiate 93*d*l**4 + 194*d + 5*l**4 with respect to l. 372*d*l**3 + 20*l**3 Find the third derivative of -3165*g**4 - 297*g**2 - 3*g + 2 wrt g. -75960*g What is the third derivative of -4338*n**3*s**3*u + 3*n**3*u**3 - 18*n**2*s**3*u + 5*n**2*s*u**2 + 5*n*s**3*u**3 wrt n? -26028*s**3*u + 18*u**3 Find the second derivative of -165*q**2 + 2*q - 107 wrt q. -330 Find the third derivative of 492*h**3 + 6*h**2 + 46*h. 2952 What is the third derivative of 221*g**6 + 2*g**3 + 5*g**2 + 148*g wrt g? 26520*g**3 + 12 Find the third derivative of -22118*q**3 + 7911*q**2 + q wrt q. -132708 What is the second derivative of -13*i**5*l + 4*i**5 - 2*i + 10*l - 1 wrt i? -260*i**3*l + 80*i**3 Find the third derivative of 7*f**2*k**3 - 2*f**2*k**2*z - f**2*k**2 - 9*f**2*z + 90*k**3*z - 4*k**2*z wrt k. 42*f**2 + 540*z Find the second derivative of -1445*a**2*f**3 - 9*a*f**3 - 319*f**3 wrt a. -2890*f**3 Find the second derivative of 13322*n**4*z**3 - 33*n*z**3 - n*z + 2*n - 18*z wrt n. 159864*n**2*z**3 What is the third derivative of -m**3*r*v + m**3*r + m**3*v - 465*m**3 - m**2 - 2*m*v - 30*m - 2*r wrt m? -6*r*v + 6*r + 6*v - 2790 Differentiate 3969*d*u + 20*u - 14 wrt d. 3969*u What is the second derivative of -1221*t**5 + t - 637? -24420*t**3 What is the derivative of -2*l**2*s - 2*l**2 + 27*l*s**3 + 2*l - 11589*s**3 wrt l? -4*l*s - 4*l + 27*s**3 + 2 Find the third derivative of -4*i**6 + 83*i**4 - 1483*i**2. -480*i**3 + 1992*i What is the third derivative of -38*c*u**3 + 2*c*u - 4*c - 2*u**5 - 18*u**2 wrt u? -228*c - 120*u**2 What is the second derivative of -3241*j**4*z - 2*j**3*z + 26*j*z - j wrt j? -38892*j**2*z - 12*j*z Find the third derivative of 3*m**2*w*z**3 - 5*m**2*w*z**2 - 7*m**2*z**3 + 27*m*w*z**2 - 288*m*z**4 + 4*m*z**2 wrt z. 18*m**2*w - 42*m**2 - 6912*m*z What is the derivative of 3599*m*t - 985*t wrt m? 3599*t What is the derivative of 2*b*f**3 - 1453*b - 2915*f**3 - 3*f wrt b? 2*f**3 - 1453 Find the third derivative of -1942*n**4 + 33*n**2 + 54 wrt n. -46608*n Find the third derivative of i**3*m*q + 8*i**3*q**2 - 2*i**3 + 3*i**2*q + 12*m*q**2 + 2*m*q + 2*q**2 wrt i. 6*m*q + 48*q**2 - 12 What is the derivative of -10*z**2 - z + 444? -20*z - 1 What is the derivative of -2367*a - 1678 wrt a? -2367 What is the first derivative of -411*j**2 + 43? -822*j Find the third derivative of 558*f**3*h**2*q**2 + 5*f**3*q**2 - 2*f**2*h**2*q**2 + 3*f**2*h - 4*f**2*q**2 - 25*f*q**2 - 2*h**2*q**2 wrt f. 3348*h**2*q**2 + 30*q**2 Differentiate 2468*a*p**3 + 2*a*p**2*y**3 - 163*p**3*y + 8*p**2*y**3 with respect to a. 2468*p**3 + 2*p**2*y**3 Find the second derivative of -1230*s**5 - 108*s wrt s. -24600*s**3 What is the third derivative of -16*s*w**4 + 75*s*w**2 - 3*w**4 + 2 wrt w? -384*s*w - 72*w What is the third derivative of -12*u*w**4 - 3*u*w + 2*w**4 + w**3 + 87*w**2 wrt w? -288*u*w + 48*w + 6 Find the second derivative of -24*v**4 + 161*v**3 - 24836*v - 1 wrt v. -288*v**2 + 966*v Find the third derivative of -62*f**3*p**3*s**3 + 2*f**3*p**2 + f**3*s**3 - 43*f**3*s**2 wrt p. -372*f**3*s**3 What is the third derivative of -o**6 - 71*o**5 + 2*o**2 - 424*o wrt o? -120*o**3 - 4260*o**2 Find the third derivative of -125*d**3 - 194*d**2 wrt d. -750 Find the first derivative of -3088*b - 5203 wrt b. -3088 What is the third derivative of 21*d**3*o**3 - 55*d**3 - d**2*o**3 + 3*d*o**2 wrt o? 126*d**3 - 6*d**2 What is the third derivative of -d*k*x**4 - d*k*x**3 - 2*d*k*x**2 - 61*k*x**4 + 2*k*x**2 + 2589*k*x wrt x? -24*d*k*x - 6*d*k - 1464*k*x What is the third derivative of 134*a**3*c**2*g**2 - 2*a**3*c*g + a**2*c**2*g - a**2*g - a*c*g**2 - 2*c wrt a? 804*c**2*g**2 - 12*c*g Find the second derivative of -3030*z**5 + 1477*z. -60600*z**3 What is the third derivative of 106*c**6 - c**4 + 934*c**2? 12720*c**3 - 24*c Find the second derivative of -2*o**2*z**3 - 134*o**2*z**2 + o**2*z - 3*o*z - 2*z wrt z. -12*o**2*z - 268*o**2 What is the derivative of 2*o*w**3 + 3*o*w + 2769*o - 308*w**4 wrt w? 6*o*w**2 + 3*o - 1232*w**3 What is the first derivative of -60*g*k**3*u + 21*g*k**2*u - 3*k**3 + 17*k**2*u - 88*u wrt g? -60*k**3*u + 21*k**2*u What is the first derivative of 570*v + 698 wrt v? 570 What is the second derivative of 43*m**2*s**2*w - 25*m**2*s**2 - 2*m**2*w + 19*m**2 + 5*m*s*w + 2*s*w wrt s? 86*m**2*w - 50*m**2 What is the second derivative of -464*j**3*t**2 - 4*j**3 + j**2*t**2 - 53*t wrt t? -928*j**3 + 2*j**2 What is the second derivative of -g**3 + 70*g**2*o - g*o - 366*g + 2*o wrt g? -6*g + 140*o What is the derivative of 2*a*g*x - 2*a*n**2*x + 3*a*n**2 - 3*a - 14*g*n**2*x - 4*g wrt x? 2*a*g - 2*a*n**2 - 14*g*n**2 Differentiate -5398*i**4 - i**2 - 3*i - 5483 with respect to i. -21592*i**3 - 2*i - 3 What is the derivative of -163*c - 378? -163 What is the third derivative of -688*u**6 - 11*u**4*y + 1381*u**2*y - u*y - 2 wrt u? -82560*u**3 - 264*u*y What is the second derivative of 391*b**5 + 224*b wrt b? 7820*b**3 What is the first derivative of 10735*k**4 - 22998? 42940*k**3 What is the derivative of 131*f**4 - f**3 - 19*f + 979? 524*f**3 - 3*f**2 - 19 Differentiate -40*y**3 - 37*y + 9418. -120*y**2 - 37 Find the first derivative of 347*c**2*r - 6*c*r**2 - r**2 + 2*r - 1 wrt c. 694*c*r - 6*r**2 Find the first derivative of -10*q*s**2 + q*s - 80*q + 2 wrt s. -20*q*s + q Find the second derivative of 7*g**3*o**2 - 8*g**3*o*s - 52*g**2*o**2*s - g*o**2*s + 24*o*s wrt o. 14*g**3 - 104*g**2*s - 2*g*s What is the third derivative of 5163*w**5 - 5926*w**2? 309780*w**2 What is the first derivative of 339*j**3*z**2 - 2*j**3 - 190*j**2 wrt z? 678*j**3*z Find the second derivative of -6144*w**5 - w + 583 wrt w. -122880*w**3 Differentiate -n*z**2 - 421*n + 9*z**4 with respect to z. -2*n*z + 36*z**3 Find the second derivative of -9*r**3*u*w - r**3 + 2*r**2 - r*u*w - 2*r*w - 6*u wrt r. -54*r*u*w - 6*r + 4 What is the third derivative of 6*c**2*f**3*n**2 + c**2*f**2*n**2 - 53*c**2*n + 12*c*f**3*n**3 - n**3 wrt f? 36*c**2*n**2 + 72*c*n**3 What is the derivative of 774*j**3 - 607 wrt j? 2322*j**2 Find the second derivative of -2*c**3*q + c**3 + 877*c**2*q - 495*c*q wrt c. -12*c*q + 6*c + 1754*q Find the third derivative of 3*i**3*j**3 - 5*i**3*j - 9*i*j**6 + 2*i*j**2 + 9 wrt j. 18*i**3 - 1080*i*j**3 Differentiate -46*h**3 + h**2 + 80 wrt h. -138*h**2 + 2*h Find the second derivative of 27*h**2*o**2 - 19*h**2*o + 3*h*o - 15*o**4 - 2*o wrt o. 54*h**2 - 180*o**2 Differentiate -28266*w**2 - 3896. -56532*w Find the second derivative of -372*i**2*n - 9*i - 36*n wrt i. -744*n Find the second derivative of -19*p**5 - p**3 - 127*p. -380*p**3 - 6*p What is the derivative of -13*f**4*z - 4*f + 56*z wrt f? -52*f**3*z - 4 Find the third derivative of r**5 + 249*r**4 - 2137*r**2. 60*r**2 + 5976*r What is the second derivative of -6*h**5 - 2*h**4 - 4*h + 6? -120*h**3 - 24*h**2 Differentiate -7*g**2*j - 202*g**2*u - 15*g*j*u - g*u wrt j. -7*g**2 - 15*g*u What is the third derivative of 2*o**3*q**3*t - 3*o**3*q**2*t + 2*o**3*q*t - 10*o**2*q**3*t - o**2*q*t + 3*q**2*t wrt o? 12*q**3*t - 18*q**2*t + 12*q*t Differentiate 24*w**4 + 2*w**3 - 403 with respect to w. 96*w**3 + 6*w**2 What is the derivativ
{ "pile_set_name": "DM Mathematics" }
4*d - t + 1004 - 987 = 0, 5*d - t = -21 for d. -4 Solve 4*b - k = 9, -34*b + 32*b - 27 = 3*k for b. 0 Solve 4*p + c = 144 - 289 + 140, 3*p = 2*c - 12 for p. -2 Solve -3*j + 5*p - 5480 = -5482, 5*j + 2*p + 7 = 0 for j. -1 Solve 75 = 5*u + 427*j + 949, u + 1 + 1 = j for u. -4 Solve 7*g - d + 1812 = 1778, g + 3*d = 14 for g. -4 Solve 0 = -31*v + 68*h - 73*h - 26, v + 5 = 4*h for v. -1 Solve 2*b = -2*n - 2, -4*n + 5*b = 2*b + 11 for n. -2 Solve -145991*x + 9 = -4*s - 145992*x, s - x = 19 for s. 2 Solve 10*i - 50 = 0, -9*h + 10*h + 18 = 4*i for h. 2 Solve -m - 4*h = 3294 - 3304, 0 = -5*m - 3*h - 1 for m. -2 Solve 3*r - 60 = 0, r = -5*x - 13 + 8 for x. -5 Solve 0 = -4*u + b + 46, -u + 26*b = 31*b - 1 for u. 11 Solve -428*u = 27*n - 427*u - 2, -3*n = -4*u + 8 for n. 0 Solve 3*n + 5 = 5*h, 0 = -75*h + 73*h + 11*n + 51 for h. -2 Solve -3*y = 4*v - 1, -454 + 453 = 2*v + y for v. -2 Solve -3*u = -4*z - 27, -129*z + 127*z + 3*u = 9 for z. -9 Solve -3*y + 3*x = -6, -4227*x - 4 = 19*y - 4232*x for y. -1 Solve 31 = -4*o + f - 0*f, o + 4*f - 5 = 0 for o. -7 Solve -178*g + 277 = -4*w + 34*g - 551, -33 = -5*w - 2*g for w. 5 Solve 4*f = 5*b + 19, 0 = -f - 535*b + 532*b + 9 for f. 6 Solve 5 = -3*k - c, -k + 0*c = 2*c for k. -2 Solve 0 = -10*l + 5*f + 85 - 45, -4 = -l + 2*f for l. 4 Solve -7*t - 57 + 64 = -4*d, 2*d = -4*t - 26 for d. -7 Solve 0 = 3*d + 4*t - 37, 0 = -98*t + 53*t + 48*t - 30 for d. -1 Solve -3*w = -4*p - 23, 60*w = 62*w + p + 3 for w. 1 Solve 4*i - 12 = 0, -226*i + 247*i = -2*a + 51 for a. -6 Solve -1617*r = l - 1612*r + 39, 5*l = -4*r - 48 for l. -4 Solve -2*k = 3*u - 20, 0 = 7*u + 35*k - 36*k - 24 for u. 4 Solve 16*x - 12 = 17*x - 2*j, 4*x - 11*j = -66 for x. 0 Solve 3*t - 5*d = -15, 29 = -2*t - 2*d + 19 for t. -5 Solve -30*z + 33*z - 3 = 4*l, 0 = 5*z - 5*l - 10 for z. 5 Solve -2*c = 5*z - 4, -441*c + 4*z = -436*c - 10 for c. 2 Solve -k = 5*z - 21, -5*z + 122 = 5*k + 77 for k. 6 Solve -y - 4*o - 1899 + 1891 = 0, 0 = 5*y + 2*o - 14 for y. 4 Solve -4*g + 27 = -4593*j + 4590*j, -g + 3*j + 18 = 0 for g. 3 Solve 42*t - 38*t = -5*p - 37, p + 8 = -t for t. -3 Solve 2*d + 2*d = 5*y + 19, -4*d = 4*y + 8 for y. -3 Solve -2*c + 6*m - 24 = 0, 0 = -2*c + 11*c - 7*c + m - 4 for c. 0 Solve -4*r + 132 = 5*u, 0 = -44*r + 48*r - 2*u + 64 for r. -2 Solve 34*y - 35*y + 0*k - 10 = 3*k, -5*y + 2*k = -18 for y. 2 Solve -5*q + 22 = l, 9*l + 4*q + 5*q = 6*q + 30 for l. 2 Solve -5*d + 62*g - 63*g = -52, 0 = -3*g + 6 for d. 10 Solve -3*x = -r + 7, -10*r + 563 - 595 = 4*x for x. -3 Solve -l - 171447 = -2*y - 171456, 5*l = -3*y - 20 for l. -1 Solve -32015*m + 32013*m + 2*f - 20 = 0, 8 = m + 5*f for m. -7 Solve 2*g + c = -7, 0 = 4*g - 20*c + 17*c - 1 for g. -2 Solve 44 = 4*z - 80*s + 84*s, 26 = -5*z + 4*s for z. 2 Solve -2*y = -2*t - 7*y + 37, 0 = -2*t - 2*y + 22 for t. 6 Solve -3*q - 344 = 5*o - 386, 11*o - 94 = -5*q for o. 9 Solve 42 = -4*r - 2*r, 10*r = 2*d + 13*r + 23 for d. -1 Solve 4*p - 186*h + 190*h = 4, p = 3*h - 3 for p. 0 Solve 5*u + 2*q = 23, 468*u - 466*u + 2*q = 14 for u. 3 Solve -2*t - 4*h + 8 = 0, -19765*t + 19768*t - 12 = h for t. 4 Solve 5*v = -231*y + 229*y - 3, -4 = y + 5*v for y. 1 Solve -4*k + 40 = 0, 43*x + 5*k = 41*x + 50 for x. 0 Solve 200 = 4*n - 2*i + 212, -2*n - 2*i = -12 for n. 0 Solve -6*r + 10*v + 38 = -5*r, 5*r - 3*v - 2 = 0 for r. -2 Solve 1538*v + 2*h - 2 = 1541*v, 2*h + 10 = 0 for v. -4 Solve 0 = 113*d - 114*d - y, 5*d - y + 12 = 0 for d. -2 Solve -136*m - 8 = k - 135*m, 3*m = k + 20 for k. -11 Solve 0 = u + 4*f - 10, f + 18 = -4*u + 28 for u. 2 Solve 2*j + 5*c - 11 = 0, 2*c + 64 = -3*j + 75 for j. 3 Solve 2*t + 24 = 2*f, -1058*f = t - 1070*f + 45 for t. -9 Solve -a - 3*c - 4 = 0, -121 = -5*a - 3*c - 129 for a. -1 Solve 2*v + 31 = -7*l, -l - 531*v = -534*v - 58 for l. 1 Solve 0 = -14*v + 4*r - 22, 13*v = 12*v - r + 1 for v. -1 Solve 0 = -h + 8, -4 = 10*b - 7*b + h for b. -4 Solve 5 - 3 = -5*k - n, 0 = -4*k - n - 1 for k. -1 Solve -3*d - 428 = -u - 422, -2*u = -d - 12 for u. 6 Solve -1234*y + 6 = -3*a - 1226*y, 3*y - 10 = 5*a for a. -2 Solve -5*r + 3*g + 227 - 240 = 0, -5*r - 6*g = -0*g - 41 for r. 1 Solve 2*b = 2*s - 6, -7*b - 1361*s + 1362*s = 3 for b. 0 Solve -1 = 6511*v - 6507*v - 3*b, -2*b = -4*v - 6 for v. -4 Solve -3*y - 18 = 3*w, 9*y + 2*w + 139 = 92 for y. -5 Solve 0 = -8*o - 2*l - 83 + 127, -2*o = -l - 8 for o. 5 Solve -y + 5 = -u, -129*u = -128*u + 3 for y. 2 Solve 109*j = 3*c + 107*j - 6, -4*j = -5*c + 10 for c. 2 Solve -4*g + 31 = b, -35*b + 42 = 5*g - 37*b for g. 8 Solve 0 = p + u - 175 + 169, -3*u = -p - 2 for p. 4 Solve -3*u = -4*w - 6, -3*u - 1138 = 9*w - 1144 for w. 0 Solve 5*x = -2*b + 19, 1197*x - 3*b = 1199*x - 12 for x. 3 Solve 16 = 4*d, 4*d + 43 - 56 = -3*u for u. -1 Solve -64*k + 63*k + 26 = -i, -15*k - i + 326 = 0 for k. 22 Solve -r = 5*s - 16, -5*s + 40 = 114*r - 119*r for r. -4 Solve -3*x + 82 = 10*m + 138, x = m + 3 for x. -2 Solve 2678*f - 2673*f + c - 22 = 0, 4*f - 12 = 2*c for f. 4 Solve -w - 4*l = 24, -18 = 484*w - 488*w + 3*l for w. 0 Solve 10*j + 38 = w + 2*j + 20, 3*j + 10 = 2*w for w. 2 Solve -5*u - 2*t - 64 = -105, -61 = -3*u - 4*t for u. 3 Solve 65*z - 66*z = 7*f - 26, -3*z - 2*f = -21 for z. 5 Solve -162 + 152 = 3*q + 4*w, -3*q = 2*w + 2 for q. 2 Solve 10*q = 9*q, -b + 2*q = 2 for b. -2 Solve -2*g = -4*r + 30, -5*r + 2*g = -8 - 31 for r. 9 Solve 4*v - 8 = 5*l, -3*v - 2*l - 23 = -6 for v. -3 Solve 347*o - 347*o = -2*l + 14, 104 = -3*o + 17*l for o. 5 Solve -2*t = 33*l - 38*l - 15, -2*l + 10 = 0 for t. 20 Solve 2*w + 2*d + 74 = 68, -w = 3*d + 11 for w. 1 Solve 2*t = -5*w + 20, -41485*t = -41488*t - w + 4 for t. 0 Solve 148*d = 150*d - 3*c + 39, -11*d + 5*c - 157 = 0 for d. -12 Solve 4*b + 7*s = -1, -4*b + 7*s = 3*s + 12 for b. -2 Solve a = -5*z + 38, -87*z + 2*a - 13 = -88*z for z. 7 Solve -2*j = -2*k - 12, 5*k + 4*j - 22 + 25 = 0 for k. -3 Solve -5*v + 251*b = 253*b - 13, 0 = -v - b + 5 for v. 1 Solve 0 = 3*s + 5*x + 36, -2472*s + 2476*s + 3*x = -15 for s. 3 Solve 957*j = -6*p + 952*j + 40, 0 = -2*p - 4*j + 18 for p. 5 Solve 64*m + p - 14 = 67*m, -m = -3*p + 10 for m. -4 Solve -2*b - 10 = 4*x, 3*b + 5 = -5*x - 10 for b. -5 Solve 0 = -10*q - 3*s + 104, -4*q = -2050*s + 2049*s - 46 for q. 11 Solve -3*c = -b + 28, -4*c - 29*b - 59 = -26*b for c. -11 Solve 4*l = -644*h + 645*h - 12, 0 = 3*l - 5*h + 9 for l. -3 Solve -2*y - 223 = -i - 224, 5*y - 6 = -i for y. 1 Solve -2*r = -z + 14, -4*z = 6*r - 5*r - 29 for r. -3 Solve 0 = -4*b + 5*m - 37, -57447*m = -5*b - 57445*m - 25 for b. -3 Solve -5*m - 35 = -5*b, -174*b - 4*m + 4 = -170*b for b. 4 Solve -5*c - 5*d + 9 + 31 = 0, 0 = -4*d - 14 + 2 for c. 11 Solve -t = 2*h + 2, 4*t - 74 = -387*h + 420*h for t. 2 Solve r = -4*a + 11, -137*a = 4*r - 135*a - 16 for r. 3 Solve 50*n = 52*n - 6, 3*j = -3*n - 3 for j. -4 Solve 2*b = -4*f, 110*f = -b + 37*f for b. 0 Solve -584*w + m = -585*w + 2, m + 7 = -4*w for w. -3 Solve -4*c + 2024 - 2023 = -p, 5*c = 4*p + 26 for p. -9 Solve 0 = -2*c + 3*b - 9, -c + 10 = -3*b + 19 for c. 0 Solve -4*y = 12*c - 120, 486*c - 485*c = -2*y + 35 for y. 15 Solve -3*h - 42 = -3*q, 4*q - 753*h + 10 = -755*h for q. 3 Solve 2*a + 2*u = -2, 66 = a + 4*u + 73 for a. 1 Solve -7*s - 3858*o + 3854*o = 35, 4*s + 5*o = -20 for s. -5 Solve 11 = -2*s + 3, -23*p + 17*p = -2*s + 34 for p. -7 Solve 0 = 8*o + 4*r - 8, 2*o = -5*r + 30 - 20 for o. 0 Solve -o = 4*j + 2, -4*o + 15 = -16*j - 41 for o. 6 Solve -3*z + 4267 = 3*y + 4225, 4*y + 8*z = 96 for y. 4 Solve -5*t + 18 = -p, -5*t - 3*p = 211 - 217 for t. 3 Solve 0 = 2*j + 2, 4*i - 380*j = -383*j - 7 for i. -1 Solve 2*a - 20 = -2*b + 6*b, -2*a + 3*b + 15 = 0 for a. 0 Solve 0*x - 7*x = -4*d - 29, 15 = -6*x + 11*x for d. -2 Solve 39 = -3*x + 3*r, -x - 76*r + 74*r = 7 for x. -11 Solve -4*r + 8*v - 3*v = -5*r, -3*r + v = 0 for r. 0 Solve 4*i = -3*d - 17, 4*i - 5*d + 56 = 31 for i. -5 Solve 0 = 5*w + 4*j + 44, 16*w = 19*w - 3*j - 60 for w. 4 Solve -4*k - 249*i + 245*i = 28, 8*k = -2*i - 62 for k. -8 Solve y = -5*q + 19, -26*q = -y - 24*q + 5 for y. 9 Solve 2*z - a = -2, a - 10 = -8 for z. 0 Solve -395*k + 16 = -398*k - 2*f, 3*f + 25 = -5*k for k. -2 Solve -4*y - 7*r - 51 = 0, 3*r - 16 - 36 = 5*y for y. -11 Solve 0 = -3*x + 5*j + 24, -3532*j + 9 = -2*x - 3537*j for x. 3 Solve -2*x = 2*k + 18, -4*k - 449 = x - 428 for
{ "pile_set_name": "DM Mathematics" }
is the value of (0 + 79 - -4) + (-52 - -36) - -10? 77 What is -3 + (10 - (-1 + 9) - -2 - 9) + -14? -22 -29 - (4 + -17) - (42 + (30 - 9)) -79 Calculate (14 - (5 - 11) - 14) + -2 + -35. -31 Evaluate (24 - -8) + 5 - (10 + 2 - -1). 24 Calculate -6 - ((-59 - -27 - -24) + (0 - -2) + -30). 30 What is 25 - (-3 - (-4 - (11 - 6 - 11)))? 30 (66 - (54 - 48)) + -146 -86 Evaluate 19 + -27 + 13 - (-1 + (64 - -13)). -71 Calculate 0 - -5 - (-742 - -764) - 3. -20 What is -5 + 31 + -16 + (1 - 18) + 15 + 7? 15 What is (-23 - -20) + -3 - (7 - 71 - -8)? 50 Evaluate -98 + 8 + (19 - 0 - 7) + (0 - 8). -86 0 - 69 - (83 + -28 + -49 - (3 + 1)) -71 What is 264 - 351 - (-6 - 79)? -2 Calculate (8 - -14) + -8 + (7 - 136) + 0. -115 What is (225 - 255) + (40 - -3) + 1 + -90? -76 20 + (-52 - -101 - 91) -22 What is -133 + 41 + 126 - 84? -50 19 - 1 - (5 + -38 - -4) 47 Calculate -27 + (9 - (-21 - -32)) + 2. -27 Evaluate -13 + 26 + -43 + 23 + (-3 - 49). -59 What is the value of (9 - (-15 + 28)) + -11? -15 Evaluate 362 - 365 - (14 + 0) - -17. 0 What is the value of -41 - (-3 + 0 + 7 + 5 + 12 + -24)? -38 What is the value of 17 - (29 + 10 + -9) - (-124 + -1)? 112 Calculate (-19 - -50) + -21 - 1 - (-1 - 5). 15 -10 + -3 + -60 - (-9 - (-13 + -2)) - -7 -72 Evaluate 1 - -13 - ((2 - -48) + 8). -44 -4033 + 3989 + (-5 - 2) + 3 -48 Evaluate 21 - 1 - (-12 - (-29 - (-28 - -27))). 4 Evaluate -83 - (70 + -85) - -144. 76 Calculate (40 - -6 - 2) + -20 + 35 + -13. 46 Calculate 10 + (12 - ((37 - -17) + -3)). -29 Evaluate (23 - (8 - -8 - 22)) + 1. 30 What is the value of (0 - -1) + -7 + 16 + (29 + -84 - -57)? 12 What is (11 - -11) + -10 + (17 - 7 - 3) + -136? -117 Calculate (-111 + 106 - (1 + 4)) + (147 - 7) + -8. 122 What is the value of (-50 - -84 - 4) + -15? 15 -9 + 16 - (-78 + 40 - -111) -66 What is the value of -45 + 0 + 8 + (-35 - -39) - 19? -52 What is the value of (-4966 - -4890) + 84 + 1? 9 Calculate -18 - -88 - (172 + -106). 4 Evaluate -17 + ((45 - 30) + 60 - (-1 + 4)). 55 What is the value of -41 - (-44 - 33) - -11? 47 Calculate 23 - -4 - (53 - -20). -46 Evaluate 1 + -12 - (18 + -21 + -36 + 25). 3 Evaluate -3 - -1 - -3 - (-2686 - -2700). -13 Calculate -93 + -4 + 88 - (-50 - (1 + -1)). 41 -7 - (-2 + (13 - 18)) - 27 -27 (1 - (57 - (-6 + -17))) + 18 -61 15 + 7 + -30 - 9 - -26 9 Evaluate 60 - (10 - 30) - 74 - (1 - (1 + -26)). -20 Calculate (1 - -5) + 3 - (29 + (-90 - -63)). 7 What is 23 + 7 + -5 + -14 - (67 + 2 + -1)? -57 Calculate (159 - 78) + -132 + (-2 - 19). -72 1 - (-84 + -8 + 43) 50 (-25 - -57) + -14 + (2 - -8) 28 465 - 440 - (126 + -7) - (0 + 15 + 0) -109 Calculate (4 + 3 - ((-15 - -19) + 1) - -4) + -21. -15 Calculate (-202 - -229) + -17 + 2 + (0 - -12). 24 Calculate 10 + -6 - 44 - -25. -15 Evaluate (3 + -3 - -13) + -3 - (-62 + 84 + -123). 111 -112 + -11 - -112 - (1 + 25 + (-3 - -1)) -35 Evaluate 19 + 12 + (7 - 1 - (-15 - -12)). 40 Evaluate 20 - (-32 + 34) - -17. 35 54 - ((-4 - -3) + (-41 + 20 - (9 - 26))) 59 Calculate 18 + -43 + -115 - -65. -75 What is the value of -26 - -5 - ((47 - 158) + 44)? 46 Calculate 31 + -57 + 17 + (-3 - (37 + -3)) + 0. -46 What is (-16 - -40) + -16 + 5 + -26? -13 Evaluate -16 + 58 + (38 - 33) - 27. 20 What is 34 + (50 - 8) + -94 + 132 + -1? 113 Calculate (1 - (6 - 4) - 4) + (-103 - -97). -11 What is the value of (7 - 13) + (7 + (-3 - -4) - (-1 + -15))? 18 Evaluate -15 - (-114 + 9 - -50). 40 What is -1 + (18 - (-16 + 24 + -11)) + 12? 32 6 + (29 - (-20 - (-18 + 14))) 51 What is 2019 - 1984 - (1 + 26)? 8 What is the value of -1 + (-20 - 1) + (5032 - 5011)? -1 What is the value of 79 - 1 - (8703 + -8559)? -66 What is 56 + (-2 + 19 + -149 + 118 - -12)? 54 Calculate (4 - 1) + (-2 + -7 - -11 - 0) + 46. 51 What is 466 + -484 - (-1 - -5) - (-2 + (12 - -2))? -34 What is the value of -61 - (-85 - -28) - 25? -29 Calculate ((6 - 1) + (32 - 31) - -32) + (-1 - -3). 40 What is the value of -8 + (-5 - (-107 - -86 - (-8 + -2))) - -57? 55 36 + -76 + 10 + -54 -84 Calculate 23 + (15 - 30) + (-1 - (-28 + 1)). 34 Calculate -35 + (136 - 143) - -109. 67 Evaluate -6 - -4 - (2615 + -2539). -78 Calculate -297 - -420 - (5 - -41). 77 1 + (-79 - ((-38 - -24 - -25) + -6 + -1)) -82 Calculate (12 - (0 - (-2 - (16 - 17)))) + (19 - -1). 31 Evaluate -29 + 27 + (-20 - -5) - (-36 + -98). 117 What is the value of 15 - ((-42 - -20 - -29) + -7)? 15 Evaluate 120 + (-226 - (-21 - 92)). 7 Calculate -15 + -5 + (77 - 18). 39 Calculate (-2 - 32 - -82) + -75. -27 Calculate 1 + -97 + 93 - ((0 - -1 - 2) + 6). -8 Calculate -97 + -28 + (12 - -5) + 27. -81 Evaluate (13 - (7 + -7) - 5) + (89 - 137). -40 Calculate (136 - 129) + (5 - -68 - ((-2 - 2) + 0)). 84 2 - (5 - 18 - -19 - 21) 17 -65 + 90 + -74 + 80 31 Evaluate (4 - (-3 + (-1 - (6 - 22)))) + -9 + -4. -21 Evaluate (-8 - 14) + (-39 - -48) - -20. 7 Calculate 74 - 25 - 42 - (-44 + -19). 70 What is the value of (-146 + -1 - -149) + -50 + 0? -48 Calculate 60 + 0 + (351 - 480). -69 Evaluate 6 + -19 - -25 - -28 - (-4 + 9 - 13). 48 -101 + (78 - 76 - -247) 148 What is the value of 17 + (-54 - -12) + 24 + 42? 41 What is the value of 6 + -8 + 10 + 3 - 38 - 5? -32 Calculate (2 - -5) + (-23 - -10) - (-121 + 89). 26 (-4 - 27) + 12 - 41 -60 Calculate -95 + (11 - (-17 - (-32 + 17))). -82 What is the value of 0 + 116 - (691 + -632)? 57 What is the value of (-8 - -5) + -28 + (-19 - -13) + -11? -48 What is the value of 91 + (-35 + 1 - -28)? 85 What is 15 + 2 + 52 + -105 + 50? 14 Calculate -2 - 8 - -20 - ((-7 + -2 - 3) + 5). 17 Evaluate 15 + (78 - 85) + 34. 42 Evaluate -2 + 2 - ((-36 - (1 + -21)) + 54). -38 Evaluate 32 + 1 - (88 - 44). -11 Calculate 20 + 0 + 1 + 8 + 8. 37 Calculate 29 - (46 + (-38 - 3)). 24 Calculate 10 + -1 - (8 - (-174 + 180)). 7 -223 + 217 + 10 + -1 + (-4 - -2) 1 What is the value of 260 - (-143 - -239) - 100? 64 What is the value of 68 - (-45 + 62) - 37? 14 Calculate -250 + 288 + (-34 - -3 - -1) + -110 + 0. -102 What is the value of -39 + (-36 - 7) + 83? 1 Calculate 35 + 1 + 0 + (100 - 252 - -142). 26 Calculate 16 + 7 + -30 + 2 + 60 + -59. -4 What is the value of (-14 + 12 - 17) + (-17 - -30 - 100)? -106 Calculate -80 - (-13 + -95) - (-8 + (-1 - 2)). 39 -2 + 24 - (-382 - -193 - -112) 99 What is -1 + -2 + 1 + 0 + (0 - -227) + -285? -60 Evaluate 17 + 0 - (-13 + (-13 + -2 - -25 - 4)). 24 Evaluate (-48 - -23) + -2 + 15 + -34. -46 What is the value of (-76 - -21) + 4 + 20? -31 What is (454 - 475) + (2 + 4 - (3 + 2))? -20 What is (-25 - 2) + (-142 - -170) + -102? -101 Evaluate 7 - (-7 + 6) - (-12 + -20 + 20). 20 Calculate (-16 - (-3 + 6 + 10)) + -8. -37 What is the value of -6 + -1 + -31 + (-61 - (-112 + 67))? -54 (25 - 33) + (5 - (5 + -4 + (23 - 32))) 5 Evaluate 6 + 4 + (33 - 89 - -31). -15 Evaluate -23 + (-6 + 1 - (-70 + -6 + 58)). -10 Calculate 183 + (43 + -173 - -7). 60 Evaluate -11 + (33 - (-37 - -100) - (0 - 15)). -26 What is the value of 2 + (-7 - (-4 + 3)) - (-742 + 754)? -16 Calculate -1 + 16 + -23 + -13 + -1. -22 What is 702 - 711 - ((-1 - (0 + 0 - -3)) + 24)? -29 What is the value of -1 - (-198 - -31) - 44? 122 -1499 + 1434 - (2 + -129) 62 What is (3 - (68 + -16)) + (-1 - (9 + 0))? -59 (8 - -16) + -33 + -55 -64 What is (10 - 10) + 14 + 92 + -63? 43 What is -69 + (59 - -20) + 36? 46 What is the value of (9 - (2 - 13 - -17)) + -32 + -58? -87 What is (3 + -1 - 32) + (-19958 - -19964)? -24 What is the value of (-116 - -187) + 104 + -156? 19 What is (-4 - 0) + -26 + (6 - -8) + 40? 24 Evaluate (43 - (119 - 95)) + -66 + -1. -48 0 + 49 - (2857 + -2880) 72 What is 1 + (0 - 1) - 9 - (-9 - 23 - -35)? -12 Calculate (37 + -42 - (-12 + 12)) + (0 - -33). 28 What is 158 + -67 + (-9 + 86 - 28)? 140 35 + -21 - (5 - (-15 + 13 + -59)) -52 What is -50 + 98 + -112 + -1 + 17? -48 Evaluate 5 + ((1 - 8) + -2 - 0) + 66 + -71. -9 What is the value of -51 - (11 + -42) - ((-85 - 5) + 1)? 69 What is the value of -3 + 0 - ((20 - (25 - -51)) + 10)? 43 35 - (1 + 0 + -33 - -14) 53 What is -16 - (13 - (9 + -10))? -30 Evaluate -46 - (14 - 31) - -8. -21 10 + (9 - 18) + 12 + -19 - (-71 + -1) 66 What is the value of (5 - 21) + (243 + -228 - (-2 - -1))? 0 What is the value of 37 + -30 - (-7 + 9 + 1 - -8)? -4 Evaluate (-16 - -31 - 5) + -14 - -34. 30 What is (-7 - 3) + 8 + (-4 - (15 + -26))? 5 Calculate 99 - (22 + 5 - 7) - 7 - -17. 89 What is the value of (-497 - -531) + -22 + 0 - (-29 + -1)?
{ "pile_set_name": "DM Mathematics" }
(y) be the first derivative of a(y). Find the third derivative of x(i) wrt i. 180*i**2 Let m be 2/(-6) - 50/(-15). Differentiate 3*j**4 - 3 - m*j**4 - 3*j**4 wrt j. -12*j**3 Let z(i) = -5*i. Let o be z(-1). Find the first derivative of -o*m + 4 + 2 + m - 4 wrt m. -4 Let v(z) be the first derivative of -28*z**5/5 - 49*z + 44. What is the first derivative of v(h) wrt h? -112*h**3 Suppose 0 = 4*q + 24 - 8, 0 = -2*f + 4*q + 24. What is the third derivative of 5*y**2 - 2*y**3 - 3*y**f + 0*y**3 + 2*y**3 wrt y? -72*y Suppose s = -2*s. Suppose 3*l = h + 12, s*l + 8 = 2*l - 2*h. Differentiate -2 - 6*i**3 + l*i**3 + 0*i**3 with respect to i. -6*i**2 Let q(t) = -t**2 - 11*t + 14. Let f be q(-12). Find the third derivative of -5*n**3 + 2*n - n - n - 3*n**f wrt n. -30 Let y be (-60)/35 + 2 + 8/21. Let u(s) be the first derivative of -y*s**3 - s - 3 + 0*s**2. Differentiate u(b) with respect to b. -4*b What is the second derivative of -21*n**3 + 87*n - 34*n - 41*n wrt n? -126*n Differentiate m**3 - 5*m**3 - 4*m**3 - 9 + 4*m**3 with respect to m. -12*m**2 Let i(m) be the second derivative of -m**10/2520 - m**6/90 + 2*m**3/3 - m. Let v(y) be the second derivative of i(y). Find the third derivative of v(q) wrt q. -240*q**3 Let b(r) = -r**2 - 4*r + 5. Let y be b(-4). What is the second derivative of -2*k**3 + 0*k**3 - 2*k + y*k wrt k? -12*k Let u(t) be the second derivative of -t**5/40 + t**4/24 - t**3/3 + 3*t. Let h(s) be the second derivative of u(s). Differentiate h(d) with respect to d. -3 Let r(b) be the first derivative of 0*b + 0*b**2 - 4 + 1/3*b**3 - 1/4*b**4. Find the third derivative of r(t) wrt t. -6 Let c(z) be the first derivative of -z**5/10 - z**4/12 + 4*z - 4. Let v(n) be the first derivative of c(n). What is the third derivative of v(a) wrt a? -12 Find the second derivative of 3*m**3 - 17*m**2 + 29*m**2 - 12*m**2 - 8*m wrt m. 18*m Let a(j) = j**2 - 6*j - 4. Let q be a(7). Find the first derivative of 56 - 57 + k**q + 2*k**3 wrt k. 9*k**2 Let r(t) = t**2 - 6*t + 4. Let d(n) = -18*n + 2*n**2 + 2 + 9 + n. Let m(o) = -6*d(o) + 17*r(o). Find the first derivative of m(a) wrt a. 10*a Let c(r) be the third derivative of -2/3*r**3 - 1/6*r**4 - 4*r**2 + 0 + 0*r. Find the first derivative of c(x) wrt x. -4 Let d = -4 + 7. Differentiate -d + 3*c - 4 + 6 wrt c. 3 Suppose 4*m - 8 + 0 = 0. Find the second derivative of 5*t - 2*t + t**2 - m*t**2 - 2*t**2 wrt t. -6 Let a be (-228)/(-54) - 2/9. Let r = a + -3. Find the second derivative of 0*g - 1 - 3*g + 3*g**2 + r wrt g. 6 Let i(v) = -12*v**4 - 4*v**3 - 4*v**2 - 15. Let b(f) = -48*f**4 - 15*f**3 - 15*f**2 - 60. Let m(l) = 4*b(l) - 15*i(l). Differentiate m(o) with respect to o. -48*o**3 Let m(t) be the third derivative of 0*t**3 + 0 + 0*t + 4*t**2 - 1/12*t**4 - 1/20*t**5. Find the second derivative of m(z) wrt z. -6 Suppose -3*n + 4 = -2*y - 0, -4 = 4*n + 2*y. Suppose p + n*p = 2. Find the second derivative of -2 - 2*w**5 + p*w + 2 wrt w. -40*w**3 Let r(g) = 24*g**5 - 2*g**4 - 14*g**2 - 2*g. Let k(c) = 48*c**5 - 5*c**4 - 27*c**2 - 5*c. Let b(m) = 2*k(m) - 5*r(m). Find the third derivative of b(s) wrt s. -1440*s**2 Let o(r) be the first derivative of -8*r**4 + 13*r**3/3 + 4. What is the third derivative of o(y) wrt y? -192 Let f(g) = -g**2 + 7*g - 2. Let d be f(6). Suppose 4*t - 4*a + d = 0, 2*t + 0*a = a + 1. Differentiate 2 + y**t + 4*y - 4*y wrt y. 2*y Suppose -5*j = -2*j + m - 13, -2*j + m = -2. Find the third derivative of -2*y**4 - 5*y**2 + j*y**4 + y**2 wrt y. 24*y Let h(o) = -6*o + 7*o + o**3 - 6*o**2 + o**2 - 3. Let d be h(5). Find the second derivative of -5*z**d + 2*z**4 + 11*z**2 - 6*z**2 + 2*z wrt z. 24*z**2 Suppose 2*c = -2*c + 20. What is the third derivative of 5*v**2 + 3*v**3 - v**3 - 5*v**c - 2*v**3 wrt v? -300*v**2 Let b be (-2)/(-2*(-1)/(-5)). Find the second derivative of y - 2*y + 2*y**b + 0*y wrt y. 40*y**3 Find the first derivative of -25*t + 35 - 1 + 18*t wrt t. -7 Suppose 3*i - i = 6. Suppose z = 4*b - 3*z - 24, z - 2 = -i*b. What is the second derivative of t - t - b*t**3 - t wrt t? -12*t Let t(l) be the second derivative of 4*l**6/5 - l**5/10 + 5*l**4/4 + l**2/2 - 5*l + 3. Find the third derivative of t(a) wrt a. 576*a - 12 Suppose 3*o - 9 = -u - 0*u, 0 = 5*u - 3*o - 9. What is the second derivative of -b**u + 3*b + 4*b**5 + b**3 wrt b? 80*b**3 Let h(c) = -2*c**3 + 7*c**2 - 4*c. Let j be 8*(-1)/(-2*1). Let r(p) = p**3 - 6*p**2 + 3*p. Let k(a) = j*r(a) + 3*h(a). Find the third derivative of k(x) wrt x. -12 Let t(p) = 69*p**2 + 80*p + 17. Let x(q) = -23*q**2 - 27*q - 6. Let s(r) = 6*t(r) + 17*x(r). What is the second derivative of s(d) wrt d? 46 Let v(l) be the second derivative of 0*l**2 + 2/3*l**4 + 0*l**3 - 11/30*l**6 + 0*l**5 + 0 + 4*l. Find the third derivative of v(p) wrt p. -264*p Let w(t) = t**4 - t**3 + 1. Let f = -4 - -3. Let r(b) = -4*b**4 + 3*b**3 - 5. Let y(m) = f*r(m) - 3*w(m). What is the first derivative of y(i) wrt i? 4*i**3 Let p(t) be the second derivative of 7*t**6/30 + t**2 + 5*t. What is the derivative of p(k) wrt k? 28*k**3 Find the third derivative of 6*v**2 + 4*v**3 + 14*v**3 - 6*v**3 wrt v. 72 Let h = -77 - -81. Let a(v) be the second derivative of 1/3*v**3 + 2*v + 1/4*v**h + 0 + 0*v**2. Find the second derivative of a(c) wrt c. 6 Let h(x) be the third derivative of x**8/6720 + x**5/20 - x**4/24 + x**2. Let v(k) be the second derivative of h(k). What is the first derivative of v(z) wrt z? 3*z**2 Let u(f) be the first derivative of -35*f**3/3 - f**2 + 5. Find the second derivative of u(l) wrt l. -70 Suppose 5*z = 3*z. What is the first derivative of -2 - 1 + z*h**3 - h**3 wrt h? -3*h**2 Let c be (-7)/(-3) + (-1)/3. Suppose z + c*z = 6. What is the derivative of -4*r**2 - 2*r**3 + 4*r**2 + 0*r**z + 3 wrt r? -6*r**2 Let y(v) be the third derivative of v**6/120 + v**5/15 - 6*v**2. What is the third derivative of y(n) wrt n? 6 What is the second derivative of -4 + 2 + 7 - 3*t**3 - t + t**5 + 0*t**5 wrt t? 20*t**3 - 18*t Let x be (-2)/((-2)/(-3)*1). Let z = 0 - x. What is the second derivative of k - 3*k**3 + 0*k**3 + k**z wrt k? -12*k Let j(s) be the third derivative of 11*s**5/60 + s**4/4 + 12*s**2. Find the second derivative of j(h) wrt h. 22 What is the first derivative of 6 - 15 + 6 + 6 - 4*p**2 wrt p? -8*p Let m(k) = 1. Let j(v) = 8*v**3. Let a(q) = -j(q) + m(q). Find the first derivative of a(o) wrt o. -24*o**2 Let a be (12/(-15))/(4/(-10)). Find the third derivative of q**4 - q**4 - a*q**2 + q**4 wrt q. 24*q Suppose -2*w + 7*w - 10 = 0, -4*c - 3*w + 70 = 0. Let b be (-6)/(-4)*c/12. Find the third derivative of -3*m**2 + m**3 + b*m**2 + 0*m**3 - m**2 wrt m. 6 Let m(j) = -62*j**4 + 7*j**3 + 68*j - 7. Let l(w) = 31*w**4 - 4*w**3 - 34*w + 4. Let q(t) = 7*l(t) + 4*m(t). Find the second derivative of q(h) wrt h. -372*h**2 What is the third derivative of -5*o**2 + 5*o**2 - 36*o**3 + 9*o**3 - 16*o**2 wrt o? -162 Let t(s) = 14*s**2 - 18*s + 5. Let c(d) = -14*d**2 + 17*d - 4. Let b(i) = 5*c(i) + 4*t(i). Find the second derivative of b(o) wrt o. -28 Let o(m) be the second derivative of 0*m**2 + 0*m**4 + 3/20*m**5 - m - 1/6*m**3 + 0. What is the second derivative of o(u) wrt u? 18*u Let j(k) be the second derivative of k**8/84 + k**4/8 + k**2/2 - 3*k. Let a(d) be the first derivative of j(d). Find the second derivative of a(c) wrt c. 80*c**3 Let h(i) = -22*i**2 - 19*i. Let u(n) = -109*n**2 - 97*n. Let r(w) = -22*h(w) + 4*u(w). What is the second derivative of r(v) wrt v? 96 Let o(k) be the second derivative of -k**6/30 + 3*k**5/10 + k**4/6 + 23*k**2/2 + 4*k. What is the third derivative of o(g) wrt g? -24*g + 36 Let q(v) = 4*v**3 - 5*v**2 - 5*v. Let m(a) = 2*a**3 - 2*a**2 - 3*a. Let n(f) = -5*m(f) + 3*q(f). What is the third derivative of n(d) wrt d? 12 Let x(h) be the first derivative of 0*h**5 + 1 - 1/2*h**6 - 2/3*h**3 + 0*h**2 + 0*h + 0*h**4. Find the third derivative of x(g) wrt g. -180*g**2 Let u = -5 - -8. Find the second derivative of -2*p - 11*p**u + 5*p**3 + 5*p**3 wrt p. -6*p Let b = -1 + 3. What is the second derivative of -k + 0*k**2 + 0*k + k**b wrt k? 2 Let s be 5*(0 - (-3)/5). What is the third derivative of -2*c**2 + 8*c**6 + s*c**2 - 11*c**6 wrt c? -360*c**3 Let w(s) be the third derivative of -s**5/30 + s**4/6 + 5*s**2. Find the second derivative of
{ "pile_set_name": "DM Mathematics" }
- 2*x**2. Let d(p) be the first derivative of a(p). What is the derivative of d(w) wrt w? 4*w Let t be (9/6)/((-3)/(-4)). What is the derivative of w - w + 2 - t*w wrt w? -2 Differentiate 13 + 66*q**2 + 3*q - q - 67*q**2 with respect to q. -2*q + 2 Suppose -4*i + 3 = -21. Differentiate -4*r + 13*r - 9*r + 7 + i*r**4 with respect to r. 24*r**3 Suppose 0 = v - 0*a - a, 5*v - 3*a = 10. What is the second derivative of -4*t + t + t + 6*t**2 - v*t**2 wrt t? 2 Let l = 0 + 4. Differentiate -2*x + 3 + 0*x - 4*x + l*x with respect to x. -2 Let q(r) be the first derivative of 3*r**4/4 - 17*r**3/3 + 19. Find the third derivative of q(j) wrt j. 18 Let s be 9/(243/6) - (-2)/(-9). Let k(d) be the first derivative of s*d**2 + 2*d + 3/4*d**4 + 1 + 0*d**3. Differentiate k(l) with respect to l. 9*l**2 Let x = -1 + 7. What is the second derivative of -1 + 1 + 4*p**3 - 15*p**3 + x*p wrt p? -66*p Let w(b) = -b**3 + 5. Let m be (-2 + 1)/(10/160). Let s(q) = 4*q**3 - 26. Let g(v) = m*w(v) - 3*s(v). What is the first derivative of g(j) wrt j? 12*j**2 Let d(z) = -z - 1. Let l(r) = 3*r**2 - 25*r - 2. Let c(w) = 2*d(w) - l(w). Find the second derivative of c(i) wrt i. -6 Let l be (-2 - -3) + 2/1. Suppose l = 3*o - 0. Differentiate t + 3 - 5 + o wrt t. 1 Let r(h) be the second derivative of -7*h**4/12 + 5*h**3/6 + h. Find the second derivative of r(b) wrt b. -14 Suppose 2*f - 6 = -f. What is the third derivative of -2*a**3 + 6 - 2*a**f - 6 wrt a? -12 Let z(q) = q**2 - 5*q - 9. Let o be z(7). What is the second derivative of -6*v + o*v**4 + 3*v + 2*v + 3*v wrt v? 60*v**2 Find the first derivative of 2 + 27*x**3 - 2*x**3 + 0 wrt x. 75*x**2 Let k(g) = -g**2 - 1. Let u be -1 + (1*-8)/(-2). Let y(o) = -6*o**2 + o - 3. Let a(s) = u*k(s) - y(s). Find the second derivative of a(t) wrt t. 6 Let p(g) be the first derivative of g**5/5 - g**4/6 - g + 7. Let t(b) be the first derivative of p(b). What is the third derivative of t(q) wrt q? 24 Find the second derivative of 5*f**5 - 7*f**5 + 9*f + 6*f**5 wrt f. 80*f**3 Let u(i) = 2*i + 21. Let t(v) = v + 7. Let w(f) = 7*t(f) - 2*u(f). What is the first derivative of w(l) wrt l? 3 Let k(v) be the third derivative of -v**7/21 - v**5/30 + 12*v**2. What is the third derivative of k(c) wrt c? -240*c Let p(a) be the second derivative of 0 + 3/2*a**2 - 1/4*a**4 + 0*a**3 + 3*a. What is the first derivative of p(b) wrt b? -6*b Let g(o) be the first derivative of -2 + 0*o - 1/3*o**3 + 0*o**4 + 0*o**2 + 3/5*o**5. Find the third derivative of g(k) wrt k. 72*k What is the second derivative of 4*f - f + 3*f**4 - 7*f**4 wrt f? -48*f**2 Find the first derivative of -1 + 3 + g**3 + 3*g**3 - 3*g**3 wrt g. 3*g**2 Let k(i) be the first derivative of 17*i**2 + 17*i + 10. Find the first derivative of k(z) wrt z. 34 Suppose 0 = -k - 0*k + 12. Suppose -8*r + 4*r + k = 0. What is the second derivative of x**2 - 3*x**2 + r*x**2 + x wrt x? 2 Let o(b) be the third derivative of 11*b**5/60 + 4*b**3/3 + 31*b**2. Differentiate o(k) with respect to k. 22*k Differentiate -234 + 220 + 22*b + 0*b wrt b. 22 Let x be (-4)/(3 - (-10)/(-2)). Find the second derivative of -3*d**x + d**2 + 3*d**2 + 4*d wrt d. 2 Let r be 8/(-6) + (-175)/(-21). Find the second derivative of -9*y**4 + r - 9*y - 7 wrt y. -108*y**2 Let n(c) be the first derivative of -7*c**3/3 - 8*c - 1. Find the first derivative of n(g) wrt g. -14*g Let v(w) be the second derivative of 0*w**2 - 1/5*w**5 + 0 + 0*w**3 + 1/6*w**4 - 2*w. What is the third derivative of v(y) wrt y? -24 Let t(c) be the third derivative of 0*c**3 + 0 + 0*c - 1/8*c**4 - c**2 + 0*c**5 + 1/40*c**6. Find the second derivative of t(y) wrt y. 18*y Let k(h) be the second derivative of -7*h**6/15 + h**4/6 + 14*h**3/3 + 4*h + 8. What is the second derivative of k(b) wrt b? -168*b**2 + 4 What is the second derivative of -17*m**2 + 10*m**2 + 14*m + 24*m**2 + 21*m**2 wrt m? 76 What is the third derivative of w**3 + 3*w**3 - 6*w**2 - 4*w**3 + 5*w**4 wrt w? 120*w Let l(n) be the first derivative of 14*n**5/5 - 37*n + 5. What is the derivative of l(r) wrt r? 56*r**3 Let o(r) be the first derivative of r**6/40 - r**4/24 - r**2/2 - 2. Let x(b) be the second derivative of o(b). What is the second derivative of x(h) wrt h? 18*h Let a(h) = h**2 + 5*h - 7. Let q be a(-7). Differentiate -3*g + 5*g + 5 + q*g wrt g. 9 Let y(b) be the second derivative of b**7/42 - b**4/12 - 3*b. Find the third derivative of y(d) wrt d. 60*d**2 Find the first derivative of 25*s**4 + 2*s - 203 + 211 - 2*s wrt s. 100*s**3 What is the second derivative of -4*z + 5*z + 4*z + 8*z**2 wrt z? 16 Differentiate 6*b - 91 + 6*b + 96 wrt b. 12 Let u(r) = r**2 - 2*r - 3. Let n be u(4). Let l be 7/4 - (-2)/8. What is the second derivative of l*o + 2*o**2 - 2*o**2 - 3*o**n wrt o? -60*o**3 Let b = -8 + 10. Let w be 0 + 1 + 0 + b. What is the first derivative of -w*r + 0*r + 3*r - r + 2 wrt r? -1 Let n(j) be the third derivative of 23*j**9/504 + j**5/15 - 5*j**2. What is the third derivative of n(d) wrt d? 2760*d**3 Differentiate -4*n - 9 + 6*n - 12*n wrt n. -10 Let g be (0 + 1 + 1)*2. Suppose -j + 7 = -g*p, 3*j - 3 = 3*p + 9. Find the second derivative of j*v - 6*v + 5*v - 2*v**3 wrt v. -12*v Let r = -17 - -52/3. Let a(w) be the second derivative of 3*w + 0 + r*w**3 - 3/2*w**2. What is the derivative of a(h) wrt h? 2 Let h(g) = -g + 1. Let b(t) = -t**2 - 6*t + 8. Let i be b(-7). Let f(u) = -u**2 - 4*u + 7. Let x(m) = i*f(m) - 4*h(m). Differentiate x(l) with respect to l. -2*l Let i(q) = -72*q**3 + 126*q. Let j(a) = -13*a**3 + 23*a. Let n(y) = -5*i(y) + 27*j(y). What is the second derivative of n(o) wrt o? 54*o Let w(z) be the third derivative of 0*z**5 + 0 + 0*z**4 + 1/6*z**3 + 1/20*z**6 + 0*z + 2*z**2. What is the first derivative of w(k) wrt k? 18*k**2 What is the second derivative of -98*m + 6*m**2 + 123*m - 32*m**2 wrt m? -52 Let p(w) be the second derivative of -w**9/3024 - w**5/20 - w**4/6 - 3*w. Let j(a) be the third derivative of p(a). What is the derivative of j(d) wrt d? -20*d**3 Suppose 4*w - 12 = -2*s, 4*w + s + 0*s = 14. Suppose w*q + 0*q - 8 = 0. What is the third derivative of -2*u**6 + q*u**2 + u**6 + 0*u**6 wrt u? -120*u**3 Let r(p) = 90*p**3 + 36*p**2 + 24*p - 24. Let i(n) = 18*n**3 + 7*n**2 + 5*n - 5. Let w(j) = -24*i(j) + 5*r(j). Find the third derivative of w(z) wrt z. 108 Let w(g) be the first derivative of 0*g**2 + g - 1 + 0*g**3 + 1/4*g**4. Differentiate w(x) wrt x. 3*x**2 Differentiate 172 - 7*l**2 - 11*l**2 - 162 with respect to l. -36*l Let o(y) = -9*y**3 - 9*y**2 + 21*y - 21. Let q(m) = -2*m**3 - 2*m**2 + 5*m - 5. Let s(p) = -5*o(p) + 21*q(p). Find the third derivative of s(k) wrt k. 18 Let a(l) = -l**2 + 6*l - 4. Let f be -1*(0/(-1) - 4). Let y be a(f). Find the second derivative of 3*x + 2*x**y - 5*x**4 + x**4 wrt x. -24*x**2 Let f = 1537/12 - 128. Let g(x) be the second derivative of 0 - 1/3*x**3 + 0*x**2 - f*x**4 + x. What is the second derivative of g(h) wrt h? -2 Find the second derivative of 13*n - 30*n**2 - 9*n + n**2 wrt n. -58 Let d(l) = 9*l**4 - 5*l**3 - 11*l + 5. Let i(a) = -5*a**4 + 2*a**3 + 6*a - 2. Let o(q) = -6*d(q) - 11*i(q). What is the first derivative of o(t) wrt t? 4*t**3 + 24*t**2 What is the third derivative of 19 - 4*j**5 - 7*j**5 - 19 + 4*j**2 wrt j? -660*j**2 Let c = 9 + -7. Find the first derivative of -6 + 2 + c - 2 - k**3 wrt k. -3*k**2 Let d(n) be the second derivative of -11/2*n**2 + 2*n + 0 + 3/10*n**5 + 0*n**4 + 0*n**3. What is the first derivative of d(y) wrt y? 18*y**2 Let u(v) = v + 12. Let t be u(-9). Suppose d + d = 0. Find the second derivative of -q**3 - q**3 + 3*q**3 + t*q + d*q wrt q. 6*q What is the second derivative of -16*l - 3*l**5 - 9*l**5 + 5*l**5 - l**5 wrt l? -160*l**3 Let s be (-8 + 7)*-1*5. What is the third derivative of -c**2 - 7*c**s + 0*c**5 + 4*c**5 wrt c? -180*c**2 Let m(u) = -u**4 - 3*u + 4. Let i(j) = -j - 1. Let f(t) = 3*i(t) - m(t). What is the derivative of f(g) wrt g? 4*g**3 Let a(g) be the third derivative of -g**5/10 + g**4/8 + 8*g**2. What is the second derivative of a(t) wrt t? -12 Find the second derivative of 77*i**3 - 77*i**3 + 8*i**4 - 2*i**4 + 17*i wrt i. 72*i**2 Suppose 0 = 5*c + 7 + 28. Let j = c - -11. Differentiate j*m**3 - 2*m**3 - m**3 - 2 with respect to m. 3*m**2 Suppose -5*n + 44 =
{ "pile_set_name": "DM Mathematics" }
*k - 2*d - 2*d + 84, 2*d - 54 = -2*k. Let v be ((-18)/k)/(9/(-48)). Solve -2*z + 4 = -3*c + 5*c, 0 = -4*z + v*c for z. 1 Let g be 3*(-11)/((-66)/40). Let l be g/4 - (1 - -2). Suppose 3 = x - l. Solve x*s - 2*b - 2*b = -37, 5*b = s + 20 for s. -5 Let u(n) = -n**3 + 39*n**2 - 77*n + 117. Let j be u(37). Solve 3*w + 5*o = 4*o - 8, -w = o + j for w. -1 Suppose -3*a = -o - 9, -2*a - 4*o = 10 - 2. Solve -5*x = -3*q - 7, 3*x + a*q = -0*q + 8 for x. 2 Let q(y) = 4*y**2 + 37*y + 13. Let i be q(-9). Solve -4*k + 8 = -i*s, 18 = 2*k + k + s for k. 5 Suppose -5*h - 33 - 27 = 0. Suppose 75 = 2*l + 3*l + 4*x, 4*l - 60 = 5*x. Let z = h + l. Solve 2*d = -5*f - 9, -4*d - 16 = 5*f - z for d. -2 Let g = 60 - 58. Suppose -17 = -3*d - g. Solve 5*y + 5*q + 24 = q, -y - d*q - 9 = 0 for y. -4 Let y(p) = 2*p - 17. Let s be y(10). Suppose -6 = -s*v + v. Let j = -4 + 6. Solve v*i = -j*w + 15, -5*i = -0*w - 4*w - 3 for i. 3 Let m(l) = l. Let n be m(12). Let f(g) = g**3 - 10*g**2 - 25*g + 12. Let d be f(n). Solve v - 8 = -v + 2*b, d = 2*b for v. 4 Let u = -90 + 93. Solve -3*l = 2*s - u, 2*l = 3 - 5 for s. 3 Let t be (9/21)/((15/70)/1). Solve -2*h - 4*k = -6*h - 28, t*h = 5*k - 20 for h. -5 Suppose s - 4 + 5 = -n, -2*s - 5*n = 8. Let x be (10 - 7)*(s - 0). Solve 3*b = j + 2*j - 12, -5*b = -x*j + 10 for b. 1 Suppose 4*a = 2*a + 10. Suppose -2*s - 11 = -3*m + 62, -m = 3*s - 39. Suppose 3*b - m - 12 = 0. Solve 3*d = 2*g + g + 15, -d + a*g = -b for d. 3 Let s(n) = -n + 1. Let f be s(-2). Let d be (5/25)/((-15)/(-375)). Solve 4 = -t - i, f*t + d*i + 11 = 3*i for t. -3 Let b = -141 + 141. Solve -x + h + 2*h = -3, b = -4*x + 4*h + 12 for x. 3 Let l(j) = -21*j - 229. Let u be l(-11). Suppose 3*g - 30 = 5*t, 2*g - 2 = -3*t - 1. Solve -3*i = -0*c + 5*c + g, u*c = -2 for i. 0 Let w = -69 - -77. Suppose 5*u + 10 = 0, -5*j - 5*u + 17 - 7 = 0. Solve -5*a + 5 = -3*p, -w*a + 4 = 2*p - j*a for p. 0 Suppose -4 = -g + 1. Suppose -1 = 2*z + u - 0, -3*z = 4*u + 14. Suppose -3*v + 17 - z = 0. Solve g*m - 17 = 4*o - 1, 3*m - v*o = 20 for m. 0 Let a = -121 + 131. Suppose 8*t - 3*t = a. Solve 5*q = -t*k - 0*q + 7, -3*k = -3*q + 21 for k. -4 Let v(q) = 12*q + 7*q - 17*q - 2. Let t be v(5). Let p be 2/(-2) - (t - 11). Solve -3 = -i - 2*y, 3*y - 10 = -3*i + p for i. 5 Let o(j) = 7*j - 30. Let w be o(5). Solve z + 3 = 0, -4*b + 5*z = -w - 10 for b. 0 Suppose -2*g = 3*x - 3, 7 = -4*x + 11. Solve -5*f = -g*s + 5*s, -s = 0 for f. 0 Let j = -81 + 106. Suppose -21*t + j*t = 20. Solve -5*a = 20, -t*n = -2*a - 0*a - 13 for n. 1 Suppose -4*y - 6 = -k, -2*k = -6*k + 2*y + 24. Let n be ((-70)/6)/(-5) + (-2)/k. Solve -b = 2*x - 5, 2*x + 5 = b - n*x for b. 5 Let x be 2*5*12/40. Suppose 5 = -4*n - 11. Let j = n - -9. Solve j*c = -5, -c = -x*b + 2*c for b. -1 Let t(n) = -n**3 - 4*n**2 - 7*n - 4. Let y be t(-4). Let u be (y/36)/(2/6). Solve 3 = 4*o + a + 20, -u*o - 19 = -3*a for o. -5 Suppose 6*d - 2*d = 0. Let a be d - (-3)/6*-4. Let s be (a - (-11)/3)*3. Solve 3*u = s*k - 4, 2*u + 0 = -k + 6 for k. 2 Let s(h) = h**3 - 4*h**2 + 3*h - 7. Let l be s(4). Solve -4*y = 5*c + 15, l*y - 9 = c + 2*c for y. 0 Suppose -6*p - 3*p = -36. Suppose 5*r + p*r = 18. Solve -r = 5*s - 4*u - 21, 3*s - 2*u = 11 for s. 3 Suppose 2*c + 140 = 144. Let r = -12 - -16. Solve c*u - r*w + 3 = -w, -4*u + 2*w - 10 = 0 for u. -3 Let y = 25 - 22. Suppose 4*v - 4*s = 3*v + 35, -5*s = y*v - 20. Solve -3*l = -2*l, v = 3*b + l for b. 5 Let b(j) be the second derivative of j**3/3 - 4*j**2 + 19*j. Let m be b(5). Solve 2*t - 9 = 3*u - 2*t, 5*u - m = t for u. 1 Let z(d) = d**3 + 23*d**2 - 23*d + 26. Let q be z(-24). Solve 3*f = -4*y - 14, -4*f = -q*y + 1 + 3 for f. -2 Let p be (-3 - 27/(-15))/(3/(-80)). Let c be ((-3)/(-6) + 0)*p. Solve -c = -4*a + 4*w, -a - 5*w = 6 + 8 for a. 1 Suppose -5*k - 2*z = 4, -66*k - 5*z - 10 = -64*k. Solve 6*w + 20 = w - 4*g, k = -w + 3*g - 4 for w. -4 Let x(w) = -7 - w + w - w. Let m(q) = 5*q + 1. Let h be m(-2). Let a be x(h). Solve -2*f - 14 = p, -a*p + 3*p = 3*f + 11 for f. -5 Let g(h) = -h**3 + 9*h**2 - 10*h + 12. Let y be g(8). Let x be 0/(7 + -4) - y. Suppose x*t = -t. Solve t = -2*l - 2*a - 0*a - 4, 3*a = 2*l - 16 for l. 2 Let u be (-5)/(-2)*(1 + 1). Let d be ((3/9)/(-1))/((-4)/12). Suppose y - u = -k + d, -6 = -3*k. Solve y = 2*m + 5*o + 8, 2 = -o for m. 3 Let t = 8 + -1. Let n be 83/(1*(-5 + 4)). Let y = n + 108. Solve 3*d - t*d = h + 15, d - 4*h + y = 0 for d. -5 Suppose c = q + 8, 2*q - 20 = -3*c + 4*q. Solve 3*m + 2*r = -2*m - 30, 4*r + 4 = c*m for m. -4 Suppose 373 = 49*g + 128. Solve -2*o - 10 = -3*r, -g*o + 4*o - 11 = -3*r for r. 4 Let h = -46 + 72. Suppose -2*x - h = -15*x. Solve -l = -w, 0 = l - 0*l - 2*w + x for l. 2 Let b be 6/14 + ((-46206)/126)/(-17). Solve -3*c = 9, 5*n + 3*c - 2*c = b for n. 5 Suppose 2*d = -w + d + 1, -9 = -2*w + 5*d. Let c be 1170/10*2/(-3) - 1. Let i = 82 + c. Solve -w*x + x = p + 5, i*p = -4*x - 16 for p. -4 Let z(d) = 8*d - 3. Suppose -4*t + 14 = -2*j, -2*t + 3*t = 3*j + 1. Let a be z(j). Solve a*y - 2*p - 37 = 2*p, 6 = 3*y + 3*p for y. 5 Let a be (-10)/(-12) - (220/(-24) - -9). Solve -b + 3*t + a = t, -b + t - 2 = 0 for b. -5 Suppose -11 = -3*c - 2*i, -3*c - 4*i = 2 - 9. Suppose -c = 4*a - 5*a. Solve -5*m = -2*x - a - 4, -3*x + 5*m = 6 for x. 3 Let k be 16*(-6)/(-15)*(-10)/(-2). Let v = -27 + k. Solve -3*d = 2*d + 5*x - 20, v*x - 20 = 2*d for d. 0 Let s(y) = y**3 - 4*y**2 + 3*y + 3. Let q be s(3). Suppose 56*k = 67*k - 220. Solve 3*w + k = q*l - w, 4*w + 16 = 2*l for l. 4 Let q be 3*10/45*(-504)/(-14). Let u be (-27)/(-1 + (0 - 0)). Solve 0*k - 4*k + 3*z - q = 0, -5*k - u = -3*z for k. -3 Let k = -6 + 18. Suppose 0 = 5*g - 2*g - 45. Suppose -5 = 5*x + 2*j - 3*j, -5*x - 3*j + g = 0. Solve 0*f = -2*m + 5*f - k, x = m + 3*f - 16 for m. 4 Suppose 0 = -4*z - 31 + 3. Let y = z - -4. Let n be y/(-2*1/2). Solve -3 = 5*q - 2*k - 2, 3*k + n = 3*q for q. -1 Suppose -2*t - 15 = -5*t. Suppose 5*w - 5 = 0, -4*m + 3 = 3*w - 8*w. Let l = 655 + -653. Solve -t*f - 2 = -m*d, 3*f + l*f + 5*d = -30 for f. -2 Let l be (-3 + 5/3)/(3/(-54)). Solve -2*u + 0*u - 8 = -4*p, l = 4*p + 2*u for p. 4 Let d(z) = -2*z - 1. Let u be d(0). Let k(r) = -17*r - 3. Let f be k(u). Solve 0 = -2*l + m - f, 0*l + 2*m + 7 = -3*l for l. -5 Let h = 101 + -96. Let s = -1 + 3. Let n be 48/18 + s/6. Solve -4*q - 3 - 1 = -h*k, n*k - 2 = 2*q for k. 0 Suppose 0 = -b + 4*b - 6. Let o be (9 - 9)/(0 - b). Suppose -4*w + 0*w + 8 = 0. Solve 0*a = 3*a + w*j + 14, o = 5*a - 2*j + 2 for a. -2 Suppose 0 = 7*i - 2*i - 20. Let a be -1 + -2*i/(-8). Suppose 3*q - 7 - 5 = a. Solve -4*t = s + 1 + 8, -q*s - 6 = t for s. -1 Suppose -12*z = -14*z + 8. Let x be (z - 5)*(-1 - 4). Let i = -2 + x. Solve -2*s + 4 = 0, 1 + 22 = i*c + 4*s for c. 5 Suppose 124*j = 122*j + 50. Solve 3*w + 0*w = -3*g, 0 = 4*g - w + j for g. -5 Let p(i) = i - 1. Let h be p(-7). Let l be (-18)/(-8) - h/(-32). Let u be (-3)/(-2) - l/(-4). Solve 5*k - 4*j + 45 = 18, -4*k + u*j - 18 = 0 for k. -3 Suppose 0 = -o - 11*h + 8*h - 9, -h = 3*o - 5. Solve 2 = 2*j + 2*n, 3*n - 7 = -o*j + n for j. 5 Suppose 2*u - 84 = 5*u. Let z = u + 28. Suppose q + q = z. Solve -j - 3 = 3*k, q = -4*j - 2*k - 12 - 0 for j. -3 Let d = 54 - 47. Let l(h) = -h**2 + 10*h - 16. Let q be l(d). Suppose -t = 5, i + i - 3*t - 23 = 0. Solve q*c = 4*r - 21 + 5, 0 = -i*r - 2*c - 12 for r. -1 Let x be 2*-19*3/(-6). Suppose -x = -5*b + 3*r, -b - 6*r + 15 = -r. Suppose -3*p - 8 = -6*n + 2*n, -3*p + 37 = b*n. Solve 14 + 1 = -5*h, 3*h = m - p for m. -5 Suppose -3*i = -52 - 38. Suppose -3*c + 13*c - i = 0. Solve -2*u + c*u + 2 = -3*h, 4 = 2*u - 2*h for u. 1 Let i(d) = d**3 + 3*d**2 - 3*d + 1. Let x be i(-3). Suppose 35 = 5*b - 4*g, x = -3*g + g. Solve 8 = 5*y - 0*l + b*l, -3*l - 2 = -5*y for y. 1 Suppose -10 = -49*i + 44*i. Suppose 57*u - 56*u - i = 0. Solve -b - 15 = -5*v, -6*b - u*v = -4*b - 18 for b. 5 Suppose -y + a = -12, 9*y - 5*a - 4 = 11*y. Let l(h) = -2*h - 3. Let o be l(-4). Solve g - o*s + 3 = 0, 4*g = s - y - 4 for g. -3 Let a be 7*(-1 + 0 + (-18)/(-14)). Let c be (0 - -1)*0/(-2). Suppose -z + c*z = -2*r - 6, 5*r = -z - 1. Solve -a = -3*d + z*d + u, -2*d = 5*u + 19 for d. 3 Let c be (-5)/(20/16) - -7. Let g(p) = -8 + 3*p - 10*p**2 - p**c + 3 - 4*p - 1. Let n be g(-10). Solve 0 = n*y + 3*d + 19, 2*d = -1 - 1 fo
{ "pile_set_name": "DM Mathematics" }
5*i - 15 - 11, -2 = q - 3*i. Suppose 3*g + 0*z = -q*z + 329, -g = -2*z - 123. Is g a prime number? False Let t = -6 - -13. Let z be 2/t + 20175/21. Suppose -2*h = -5*u + z, -u + 388 = u - 2*h. Is u a prime number? True Let c = 1516 + 364. Suppose -9*a - 215 + c = 0. Is a composite? True Suppose 156225 = 10*x + 8315. Suppose -2*y - 8877 = -5*y + 3*l, -x = -5*y + 3*l. Is y prime? True Let g = -19407 - -82672. Is g a prime number? False Suppose 4 = 4*h + 5*n - 24, h - 22 = -5*n. Suppose 0 = 2*t + h*t - 1284. Is t a prime number? False Let d be -2 - (9/(-3) - 18). Suppose 2*j - 9 = -i + d, -3*j + 52 = 4*i. Let y = 33 - j. Is y composite? True Suppose -n + 7147 = -3306. Is n a prime number? True Suppose 42*m - 6 = 39*m. Is ((-471)/5)/(m/(-10)) prime? False Suppose 0*x + x - o - 11 = 0, -4*x + 49 = -5*o. Suppose 505 = m + 4*n, -n + x*n = -5*m + 2495. Is m prime? False Let l(a) = -a**3 + 4*a**2 - 2*a + 2. Let z be l(3). Let y(k) be the second derivative of 3*k**5/10 - k**4/12 + 2*k**3/3 - k**2 - 27*k. Is y(z) a prime number? True Let d(y) = 1807*y**2 + 36*y + 199. Is d(-6) a composite number? True Suppose 0 = b - 5*u + 2 + 2, -4*b + 3*u = -18. Let y(n) = 17*n**2 + 3*n - 1. Is y(b) prime? False Suppose 32*a - 6 = 35*a. Suppose -5*z - 6 = 9. Is (5/a)/(z/978) a prime number? False Suppose 4 = 3*i + n + 4*n, 2*n - 14 = 5*i. Let r be 6/(-4) - 13/i. Suppose k = -2*h + 152, r*h + 2*k - k - 383 = 0. Is h prime? False Is 8/52 + 2405466/182 composite? False Let n = 11 - 14. Is n/(-5) - ((-12066)/15 + -4) a composite number? False Suppose -12 = -0*n - 2*n + 4*g, 4*n = 4*g + 20. Let p be (2/7)/(n/28). Suppose o + 490 = 3*q, 0 = -0*q - 2*q - p*o + 324. Is q composite? False Let f(l) be the second derivative of -l**5/20 + l**4/2 - 7*l**3/6 + 9*l**2/2 - 6*l. Let r be f(5). Is (r/1 - 0) + 150 a composite number? False Suppose 0 = -3*g - z - 2*z + 9, -2*z = -10. Let p be g/1 - (6 + -8). Suppose u = 5*s + 188, p*u + s + 331 = 2*u. Is u composite? False Suppose 4*h - 2*d + 4 = 18, 19 = 5*h - 3*d. Suppose -2*v - 725 = -b - 3665, b = h. Is v prime? True Let b be -1 + 24/4 + 3. Let m = b + -7. Is (m/1)/((-2)/(-898)) prime? True Suppose 0 = 16*k - 72696 + 17416. Is k composite? True Let v be 16/24*122*-3. Let f = -77 - v. Is f prime? True Let q = -11353 + 41016. Is q composite? False Suppose -d - 24 = d. Is (-440 - d)/(0 - 2) prime? False Is 19732/5 + 10*(-42)/(-700) a composite number? False Let g(o) = 13*o**2 - 5*o + 5. Let c(w) = 3*w**2 - w + 1. Let f(t) = 9*c(t) - 2*g(t). Let u(r) = 8*r**2 + 4*r. Let v(a) = -5*f(a) + u(a). Is v(-4) composite? True Suppose -3890 = 8*t - 13*t. Let r = -547 + t. Is 2 - 2/((-6)/r) prime? True Suppose 10*x = 3010 + 10560. Is x composite? True Let j = -1 - -3. Suppose -14518 = -30*x - 2218. Suppose y - x + 44 = -4*p, -j*p = 8. Is y a prime number? False Let p be (4/(-6))/(3/(-9)). Suppose -3*y - p*y - 5*w = -10, 0 = 4*y - 3*w + 6. Suppose y = 3*x + x - 868. Is x a composite number? True Is (-1)/(-2) - 169962/(-52) a prime number? False Suppose 0 = -3*n + 2*n + 2*i + 871, 0 = -4*n + i + 3484. Is n a composite number? True Suppose 5300 = 55*y - 357645. Is y a composite number? False Is (454/(-84) + 38/(-399))*-422 prime? False Suppose 0 = -4*y - 1 + 25. Let d(p) = 8*p + 17. Is d(y) composite? True Let v = -162 + 158. Let m(a) = 3*a**2 + 0*a**2 - 6*a - 2*a**2 - 1. Is m(v) prime? False Let d(s) = 134*s**3 + 10*s**2 + 21*s - 19. Is d(6) a prime number? True Suppose 596*u = 591*u + 130265. Is u a composite number? False Let d = -23 - -22. Is 154/8 - d/(-4) a composite number? False Let l = 6417 - -8714. Is l prime? True Let n(t) = -t - 1. Let x(z) = 18*z + 11. Let l(m) = -5*n(m) + x(m). Is l(3) a prime number? False Let q = 114 + -117. Is 2/6 + -1 + (-1760)/q composite? True Let m = 15 + -23. Let w be 4/m - (-891)/6. Suppose 5*s + w = 9*s. Is s a prime number? True Let f(k) = -4*k**3 + 13*k**2 + 7*k + 30. Let b(y) = -7*y**3 + 26*y**2 + 15*y + 61. Let i(t) = -3*b(t) + 5*f(t). Is i(17) a prime number? True Suppose -1074 = 2*m - 8*m. Is m composite? False Let d = -7839 + 12550. Is d composite? True Suppose -t + 37*t - 3443364 = 0. Is t prime? False Suppose 0*l - 8 = 2*l. Let c be ((-1)/l)/((-2)/(-40)). Suppose -3082 - 2973 = -c*o. Is o a prime number? False Let x = -515 - -832. Is x a composite number? False Let t(d) = 7*d**2 - d**3 + 5*d - 10 - d + 0*d**2 - 2*d. Let y be t(7). Suppose -48 = -y*z + 340. Is z composite? False Suppose 6815 + 46636 = 9*f. Is f a prime number? True Let b(u) = -u**3 - 7*u**2 - 7*u - 4. Let s be b(-6). Suppose 0 = -0*r - s*r. Suppose r = 4*k + 5*y - 576, -3*k + 4*y = -7*k + 580. Is k composite? False Suppose 3203 = 17*h - 54410. Is h composite? False Let f = 385 - 83. Let z = f - 106. Suppose -2*m + 5*h = -5*m + 275, 3*h = 2*m - z. Is m a composite number? True Let j be (-18)/(-8) - (-6)/(-24). Suppose 4*q = j*g - 74, -3*g - q = 2*q - 102. Is g a composite number? True Suppose -2*l + 28261 = -5*y, -10*l = -12*l - 5*y + 28311. Is l prime? True Let r(z) be the second derivative of z**6/180 + 11*z**5/120 - 7*z**4/12 - 3*z. Let p(t) be the third derivative of r(t). Is p(14) a prime number? True Let l be (-3)/(-6)*6*133. Suppose l - 4 = 5*b. Suppose 4*u = 3*u + b. Is u composite? False Suppose -2*p + 515 + 4751 = 0. Is p a composite number? False Suppose -4*x - 3*s + 117644 = 0, 8223 = x + 5*s - 21188. Is x composite? False Let w(b) = b**3 + 22*b**2 - 24*b - 17. Let h be w(-23). Is h/3*1*(-506)/(-4) prime? False Let g(y) = -y + 15. Let t be g(12). Let i(p) = p**3 + 13*p**2 - 14*p + 2. Let h be i(-14). Suppose -t*z + 223 = -h*z. Is z a prime number? True Let r = -2 + 2. Suppose 0 = -0*u - 5*u + 475. Suppose 0*q + u = 3*y + 2*q, -5*y - 4*q + 159 = r. Is y composite? False Let d = 8 + -12. Is (d - 39/(-9))*1137 a composite number? False Let k(l) = l**3 + 2*l**2 + 16*l + 6. Let w be k(-9). Let a = 1672 + w. Is a composite? False Suppose 0 = 4*n + 6755 - 47091. Suppose 3*f = 7*f - n. Is f prime? True Suppose 2268 = 5*o - x, -3*x - 2 = -8. Let h = 831 - o. Is h prime? False Suppose -4*u = -8*u - z + 15772, 0 = -2*z. Is u a composite number? False Let q = 687 + -114. Let c be (2/(-1))/(1/167). Let p = q + c. Is p a prime number? True Let q = 31 + -27. Suppose 0 = -4*v + h - 5*h + 3992, q*h = 20. Is v a composite number? True Let x(j) = -4*j**3 + 5*j**2 - 6*j + 16. Let c(l) = 12*l**3 - 16*l**2 + 18*l - 47. Let o(h) = 6*c(h) + 17*x(h). Is o(7) a prime number? False Is (1 + 2 - 2)/((-32)/(-25184)) a composite number? False Let p(w) = 23*w**2 - 7*w - 2. Let s(n) = -n - 1. Let u(y) = -p(y) - 6*s(y). Let h(x) be the first derivative of u(x). Is h(-9) a composite number? True Let d(t) = -t**3 + t**2 - 2*t + 395. Let j(a) = -a**2 + 9*a - 8. Let h be j(8). Is d(h) a prime number? False Let k(l) = 11*l**2 - 30*l - 43. Is k(22) a prime number? True Suppose -5*o + 11 = -14. Suppose o*g + 3*g - 5960 = 0. Is g prime? False Let t(h) be the second derivative of -3*h**5/5 + h**4/6 + h**3/6 - 25*h**2/2 + 2*h + 2. Is t(-6) a composite number? False Suppose q + 4*r = -4, 9*q - 5*q + 4*r + 16 = 0. Is 2*251/q*-1*14 a composite number? True Suppose -4*b = 21 + 15. Let m be -267*((-3)/b - 1). Suppose 9*d - 7*d - m = 0. Is d composite? False Let u be (16/48)/((-2)/(-24)). Is (131/(-4))/(u/(-16)) prime? True Suppose -3*x - 5*y = -10846, -4*x + 14194 = -3*y - 219. Is x composite? False Let r = -396 - -74. Let i(f) = -f**3 + 15*f**2 + 7*f + 11. Let o be i(10). Let u = o + r. Is u a composite number? True Suppose -3*u + 12 = u. Suppose s = u*s - 574. Suppose 0 = r + 5*w - 275, -r = -0*w + 2*w - s. Is r a composite number? True Suppose 2*w - 429 = 47. Is (-12)/8*w/(-3) a prime number? False Let x = -12763 + 21992. Is x prime? False Suppose -3*s + 33 = 8*s. Is s*1/((-9)/(-1902)) prime? False Let j = -8960 - -19257. Is j composite? True Suppose 0 = 4*r + 3*p - 5*p - 14844, -2*r + 7422 = p. Is r + 3 + 40/8 a composite number? False Let n be -1*298*4/1. Let y(g) = -19*g**2 - 248*g - 14. Let p be y(-13). Is (p/4)/(2/n) a prime number? True Suppose -5*k + 5*l = -24295, 5*k - 3*l - 36050 = -11751. Is k prime? True Let s = -15 - -7. Let n be 4/(-16) + (-2)/s. Suppose n = i + 21 - 76. Is i composite? True Let z = -24342 + 36995. Is z composite? False Let g = 4 + 1. Su
{ "pile_set_name": "DM Mathematics" }
Let s be (-176)/(-77) - 4/14. Calculate s*v(x) - 3*a(x). 7*x**3 Suppose 41 = -5*p + 11. Let z(l) = -1. Let x(n) = 9*n + 6. Let t(a) = -x(a) - 2*z(a). Let f(k) = -1968 + 1973 + 19*k - 9*k. Determine p*t(q) - 5*f(q). 4*q - 1 Let f(p) = -2*p**3 - 3*p**2 + 3. Let h = 331 + -152. Let o = h + -176. Let b(r) = r**3 - r**2 + 1. What is o*b(i) - f(i)? 5*i**3 Let d(g) = 6*g**2 - 38*g + 29. Let v(m) = -4*m**2 + 20*m - 15. What is -4*d(q) - 7*v(q)? 4*q**2 + 12*q - 11 Let v(q) = -q**3 - q**2 + q + 1. Let k(l) be the second derivative of -l**5/10 - l**4/4 + 4*l**3/3 + 2*l**2 - 2122*l. Give k(r) - 4*v(r). 2*r**3 + r**2 + 4*r Let p(f) = 10*f - 2617. Let n(k) = -7*k + 1746. Determine -7*n(w) - 5*p(w). -w + 863 Let x(v) be the second derivative of v**4/12 - v**3/6 + v**2/2 + v. Let d(c) = 2*c - 1. Suppose 3*t - 97*a = -102*a - 7, -5 = 3*t + 4*a. Give t*d(y) + x(y). y**2 + y Let v(d) = -2*d**2 - d + 5. Let c(u) = -u**2 - u + 1. Let w = -2101 + 2102. What is w*v(g) - 5*c(g)? 3*g**2 + 4*g Let j(f) = 208*f**3 + 3*f**2 + 6. Let b(a) = 205*a**3 + 4*a**2 + a + 10. Give 2*b(t) - 3*j(t). -214*t**3 - t**2 + 2*t + 2 Let r(v) = 8*v + 11. Let x(n) = -42*n + 1157. What is -5*r(u) - x(u)? 2*u - 1212 Let q(n) = 9*n**3 - 24*n**2 - 6*n - 4. Let i(s) = s**3 - s. Calculate 6*i(o) - q(o). -3*o**3 + 24*o**2 + 4 Let c(z) = 4*z**2 - z - 1. Let b(q) = 2*q**2 - 7*q - 1. Let y(m) = 15*m**2 - 35*m - 6. Let v(t) = 5*b(t) - y(t). Give -7*c(d) - 6*v(d). 2*d**2 + 7*d + 1 Let r = 7655 + -7659. Let q(d) = d**3 + d - 1. Let k(g) = 3*g**2 - 4*g + 2. Determine r*q(o) - k(o). -4*o**3 - 3*o**2 + 2 Let b(q) = 18*q. Let h = 2711 - 2716. Let a(k) = -7*k. Give h*b(w) - 12*a(w). -6*w Let t(k) = 4*k**3 + k**2 - 3. Let m(z) be the second derivative of z**5/10 + z**4/12 - z**2/2 + 224*z - 2. Give -5*m(c) + 2*t(c). -2*c**3 - 3*c**2 - 1 Let b = 14 + -17. Let y(s) = -4*s - 5. Suppose 7*v - 10*v + 11 = -k, -4*v - 4*k + 36 = 0. Let o(i) = -3 + 3 - v*i - 6. Determine b*o(q) + 4*y(q). -q - 2 Let v(y) = 16 - 5*y - 20 - 4*y**2 - y + 2*y + 3*y**2. Suppose -10*r - 4*r = 42. Let q(i) = -3*i**2 - 9*i - 9. Calculate r*q(b) + 7*v(b). 2*b**2 - b - 1 Let j(r) = r**2 + 4*r + 10. Let a(c) = 4238*c - 2122*c - 11 - 2119*c - 2*c**2 + 2. Give 4*a(f) + 3*j(f). -5*f**2 - 6 Let k(s) = s - 5. Let g(j) = -292*j + 15. What is -g(i) - 4*k(i)? 288*i + 5 Let t(k) = 11*k**3 - 25*k**2. Let y(n) = 2*n**3 - n**2. Determine -t(l) + 5*y(l). -l**3 + 20*l**2 Let b(o) = -53213*o + 5715. Let j(x) = 251*x - 27. Give 3*b(u) + 635*j(u). -254*u Let u(g) = 605*g**3 + 43*g**2 - 14*g + 7. Let s(y) = 302*y**3 + 22*y**2 - 6*y + 3. Determine 7*s(x) - 3*u(x). 299*x**3 + 25*x**2 Let f(x) = -7*x**2 + 34*x - 4. Let t(h) = -30*h**2 + 138*h - 16. Calculate 9*f(a) - 2*t(a). -3*a**2 + 30*a - 4 Let x(c) = -4*c**3 - 3*c - 4. Let t = -367 + 370. Let g(p) = -2*p + 2*p**t - 19876 + 3*p + 19878. Give -5*g(d) - 2*x(d). -2*d**3 + d - 2 Let n(a) = 17*a**3 - 12*a**2 + 8*a + 9. Let x(d) = -4*d**3 + 3*d**2 - 2*d - 2. Let s = 8915 - 8906. Give s*x(p) + 2*n(p). -2*p**3 + 3*p**2 - 2*p Let w(k) = k**2 + 21*k - 19. Let j be w(1). Let t(x) = x**2 + 1. Let b(v) = -2*v**2 - 2*v - 4. What is j*t(m) + b(m)? m**2 - 2*m - 1 Let h(q) = -5*q**2 + 15*q - 70. Let x(y) = -3*y**2 + 6*y - 34. Give -2*h(p) + 5*x(p). -5*p**2 - 30 Let p(a) = 3429*a**2 - 9*a + 3. Let r(i) = 58292*i**2 - 156*i + 52. Give 52*p(k) - 3*r(k). 3432*k**2 Let y(m) = 3*m - 9. Let g(p) = 4*p - 13. Let n be 549/99 - (-30)/(-55). Calculate n*g(c) - 7*y(c). -c - 2 Let t(x) = 22*x**3 + 246*x**2 - x - 2. Let u(s) = -49*s**3 - 486*s**2 + 2*s + 4. What is 9*t(g) + 4*u(g)? 2*g**3 + 270*g**2 - g - 2 Let w = -12 + 10. Let s(y) = -12*y**2. Let g(v) = -15*v**2 - 10. Let t(u) = -u**2 + 1. Let i(f) = -g(f) - 10*t(f). Determine w*i(n) - 5*s(n). 10*n**2 Let i(x) = -1427*x**2 - 2*x**3 - 3*x + 8 - 1439*x**2 + 2863*x**2. Let l(b) = -b**3 - 2*b**2 - 2*b + 7. Determine -2*i(v) + 3*l(v). v**3 + 5 Let t(x) = -6*x + 11. Let c = -66 - -67. Let i(h) = 1 + 9 + 4*h - 3*h - 16 + 5. Determine c*t(b) + 5*i(b). -b + 6 Let i(t) = -7*t**2 - 5. Let y be (7330/15)/(4/6). Let x(c) = -9*c**2 - 740 - c**2 + y. Let v be (-4)/(-6) + (-46)/6. Determine v*i(j) + 5*x(j). -j**2 Let o(v) = 3*v**2 - 54*v + 2890. Let y(f) = 2*f**2 - 34*f + 1927. What is -5*o(l) + 8*y(l)? l**2 - 2*l + 966 Let w be 5 - (-56*55/220)/(2 + (-4 - 0)). Let i(q) = 18*q + 47. Let p(x) = -3*x - 8. Let l(c) = 6*i(c) + 34*p(c). Let f(u) = 2*u + 3. Give w*l(k) + 7*f(k). 2*k + 1 Let p(f) = -6*f + 2. Suppose 14*d = -4221 - 1253. Let g = d + 390. Let s(z) = -z. What is g*p(b) + 5*s(b)? b - 2 Let p(r) = 8460*r**3 - 4*r**2 + 5*r + 15. Let t(a) = -8461*a**3 + 2*a**2 - 4*a - 10. What is -2*p(d) - 3*t(d)? 8463*d**3 + 2*d**2 + 2*d Let o(x) = -x + 7. Let p(y) be the second derivative of y**2/2 + y. Suppose 2*a - 1 = f, 21*f + 6*a = 3*a + 24. Determine f*o(u) - 6*p(u). -u + 1 Let k(f) = 2*f**3 + 7*f - 2. Let o(p) = -17*p**3 - 3*p**2 - 3*p + 3*p**2 + 16*p**3 + 1. Let l be -2 - (7 - 45/3). Give l*k(i) + 13*o(i). -i**3 + 3*i + 1 Let j(l) = -l**2 - l + 1. Let s(h) = 36*h**2 + 45*h - 45. Let y be -1 + 26/22 + (-2485)/55. Let q = 228 - 229. What is q*s(c) + y*j(c)? 9*c**2 Let g(m) = 13*m**2. Let f be (-1918)/685 + (-2)/10. Let p(c) = c**2 + c. Calculate f*p(q) + g(q). 10*q**2 - 3*q Let a(n) = -45*n**2 + 36*n + 8. Let c(r) = -21*r**2 + 20*r + 4. Let j(q) = -4*a(q) + 7*c(q). Let u(x) = -x**2 - x - 1. What is j(w) - 4*u(w)? 37*w**2 Let g(i) = -2*i**3 + i**2 - 3*i - 1. Let z(o) = 733*o**3 - 3*o**2 + 9*o + 3. Calculate 6*g(d) + 2*z(d). 1454*d**3 Suppose 198 = 3*h + 186. Let g(v) = 77*v**3 - 7*v + 7. Let y(f) = 38*f**3 - 4*f + 4. Calculate h*g(i) - 7*y(i). 42*i**3 Let j(w) = 42*w - 580. Let x(o) = -10*o + 147. Give -2*j(p) - 9*x(p). 6*p - 163 Let d(s) = 641*s + 3. Let p(z) = 638*z + 3. Calculate -6*d(f) + 5*p(f). -656*f - 3 Let f(x) = 7*x**2 + 43*x + 5. Let b be (-7 - 270/(-40)) + 7/(-4). Let w(g) = -3*g**2 - 21*g - 2. Determine b*f(y) - 5*w(y). y**2 + 19*y Let z(x) = -115*x. Let y = 547 + -545. Let g(f) = -29*f. Give y*z(t) - 9*g(t). 31*t Let k(m) = 7*m + 16*m**2 - 2852 - 2855 + 5700. Let h be (-4)/(-10) + (-23)/(-5). Let v(b) = -11*b**2 - 5*b + 5. Give h*k(s) + 7*v(s). 3*s**2 Let m(n) = -n - 1. Suppose 19 - 28 + 20 = 11*f. Let u(r) = 5*r - 4. Determine f*u(t) + 4*m(t). t - 8 Let i(m) = 44*m - 34. Let v be i(2). Suppose -4*o + v - 26 = 0. Let q(z) = 28*z**2 + 7*z - 10. Let y(u) = -9*u**2 - 2*u + 3. Give o*y(h) + 2*q(h). -7*h**2 + 1 Let n be (8 + -7)/((3 + -4)/(-359)). Let m(v) = 7 - 351*v - n*v + 725*v. Let z(s) = 5*s + 2. Let c = 4 + -11. Give c*z(g) + 2*m(g). -5*g Let m be 217/(-62) + (-9)/(-2). Let d(i) be the second derivative of -i**4/3 - i**3/2 - i**2/2 + 4*i. Let c(v) = v**2 + v + 1. Calculate m*d(k) + 3*c(k). -k**2 + 2 Let c = 240 - 324. Let o be (-60)/c - (-2 + 24/14). Let s(q) = 1. Let p(m) = 6*m + 36. Calculate o*p(w) - 36*s(w). 6*w Let q(t) = -968*t + 33. Let d(k) = 247*k - 8. What is -9*d(l) - 2*q(l)? -287*l + 6 Let a(x) = -5*x**2 - 9*x - 6. Suppose 36*i + 8*i = 2*i + 546. Let c(t) = 11*t**2 + 19*t + 13. What is i*a(p) + 6*c(p)? p**2 - 3*p Let g(x) = -4*x**3 + 6*x**2 - 22*x - 9. Let s(a) = a**3 + 4*a + 1. Calculate -g(w) - 5*s(w). -w**3 - 6*w**2 + 2*w + 4 Let w(a) = -2*a**2 - 2*a. Suppose -6*v + 2*v - 18 = -7*v. Let b(l) = -2*l**2 - l**2 - 2*l + 2*l**2. Calculate v*b(r) - 5*w(r). 4*r**2 - 2*r Suppose -6*u + 18 = -6. Suppose 0*i - 5*i - 13 = -2*z, u*z = -5*i + 11. Let y(t) = 5*t + 4. Let c(b) = -6*b - 5. Calculate z*c(a) + 5*y(a). a Let a(s) = -34*s**3 - 3*s + 3. Suppose -3*n + 4*l = -1, 3*l = 5 - 17. Let y(q) = 67*q**3 + 5*q - 5. Calculate n*a(u) - 3*y(u). -31*u**3 Let v(s) = 48*s**3 - 20*s - 8. Suppose -4 = -3*d - 4*h - 25, -9 = 5*d - 2*h. Let w(t) = -7*t**3 + 3*t + 1. Calculate d*v(j) - 20*w(j). -4*j**3 + 4 Let f(u) = 4107*u - 28. Let p(t) = 4106*t - 23. Give -5*f(x) + 6*p(x). 4101*x + 2 Let u(c) = -319*c - 175. Let o(q) = 320*q + 132. Determine 4*o(m) + 3*u(m). 323*m + 3 Let z(y) = 1 + 5*y - 6*y**2 + 2*y**3 + 4*y**2 + 3. Let l(s) = -4*s - s**3 - 1571972 + s**2 - s**3 + 1571969. Determine 4*l(j) + 3*z(j). -2*j**3 - 2*j**2 - j Let z(w) = -w - 1. Let a(u) = 30*u + 2. Give a(o) + 4*z(o). 26*o - 2 Let h(m) = m**3 + m**2 - 3*m - 1. Let a be (4 + 1)*(1 - 0). Let j(r) = -1 + 2*r**3 + 2*r**2 - 1 + 6499*r - 6504*
{ "pile_set_name": "DM Mathematics" }
- 11*c = 6*c for c. 0 Let k be -3*(-132)/189 - (-30)/(-315). Suppose -3*y + 4*n = -6*y + 38, -4*n - k = -y. Solve 0 = y*x - 11 + 1 for x. 1 Let p(z) = -2*z - 26. Let h be p(13). Let j = h + 50. Let d be (9/21)/(j/(-14)). Solve -16 = -w - d*w for w. 4 Let r = -212 - -359. Solve 151 - r = 4*q for q. 1 Suppose -2*x = 4*n + 2 + 4, 5*x = n + 29. Suppose 5 - x = -5*p. Suppose p = -0*q - 4*q + 12. Solve j = q - 6 for j. -3 Let c = 9704 - 9576. Solve -40*i - c - 32 = 0 for i. -4 Let c be (52/(-12) - -5)/(-8*(-3)/1440). Solve 0 = u + 33 - c for u. 7 Let c = 329 + -326. Suppose -5*t + 11 = -w, -3*w + 6 = -c*t - 9. Solve 0 = -s - 2*s - w for s. -3 Let u = 917 + -825. Suppose 32*y - u*y + 1080 = 0. Solve y*d = 3*d for d. 0 Suppose 43*u + 4089 = 184*u. Solve -u*h + 18 = -38*h for h. -2 Suppose -4*s + 2*g = -22, -396*g + 25 = -5*s - 401*g. Let k(u) = 2*u**2 - 3. Let z be k(2). Solve z = -s*p + 13 for p. 4 Let r = -960 - -981. Solve 0 = 7*a - 35 + r for a. 2 Let w be (-68709)/(-444) + (-1)/(-4). Solve 88 = -w*r + 166*r for r. 8 Let m(c) = 36*c**3 - 3*c**2 - 7*c - 2. Let d be m(-2). Let i = d + 292. Solve -x + i = 5 for x. -1 Let n = -12 + 20. Suppose 5*u + 51 = 3*r, -5*r - 207*u + 203*u + 11 = 0. Solve a + n = r for a. -1 Let p(f) = -f**2 - 5*f - 6. Let x be 4/6 + (2 - (-51)/(-9)). Let g be p(x). Suppose g = -u + 2. Solve u*c + c = -15 for c. -5 Let l = 602 + -597. Let w be 0*((-1)/12)/(l/15). Solve w = -4*y + 2*y - 4 for y. -2 Suppose -3*v - 40*v = -7052. Suppose v*a + 10 = 174*a. Solve -a = -2*z + 9 for z. 5 Suppose 2*b + 249 = -3*m, 3*b + 2*b = -3*m - 627. Let l be ((-6)/(-8))/3 - b/8. Suppose -4 = 4*v - l. Solve -2*o = -v*o - 1 for o. -1 Let i be (-4560)/5016*(-2 - (-7)/(-2)). Solve 4*z - 23 = i for z. 7 Suppose -692 = 10*o - 3422. Let p = 282 - o. Solve p*d + 12 = 3*d for d. -2 Suppose -2*h = -2*o - 3*o - 18, -3*h + 3*o + 27 = 0. Suppose 267*f = -248*f + 23*f + 984. Solve -h + 9 = -f*b for b. 0 Let q(g) = -g - 9. Let j be q(-14). Let u(m) = -m - 25. Let o be u(j). Let z = o + 50. Solve 8*x - z = 3*x for x. 4 Suppose 2126*g - 382 = 1935*g. Solve 492 = -g*a + 478 for a. -7 Let o be -2 + (5 + 101 - 0). Let s = 115 - o. Solve 0 = a - 16 + s for a. 5 Let a(f) = -f**3 + 2*f**2 - f - 4. Let j be a(2). Let r be (-2 - -2)*((-21)/j - 3). Solve n - 2*n = r for n. 0 Suppose -35 = 3*f - 10*f. Suppose 7 = -y - 0*y. Let r be (y - (-106)/6) + (-2)/(-6). Solve -r + 1 = -f*p for p. 2 Let q = 46 + -77. Let m = q - -42. Let l(s) = 5*s + 38. Let x be l(-7). Solve x*b + m = 2 for b. -3 Let m(s) = 278*s + 5154. Let n be m(-18). Solve 108*k - 390 - n = 0 for k. 5 Suppose 0 = 22*l + 4*l - 104. Suppose 0*f = -3*f - l*f. Solve f = 4*b + 3*b - 14 for b. 2 Let j = 6718 - 6694. Solve -821*w = -825*w - j for w. -6 Let r = -4331 + 4356. Solve 0 = -13*l + 12 - r for l. -1 Suppose s = -4*s + 2*p + 121, p - 52 = -2*s. Solve 253 = s*h + 28 for h. 9 Let t(a) be the first derivative of a**3/3 + 4*a**2 + 7*a + 1. Suppose 4*m - 4*o = -16, -5*m - 3*o - 50 = 2*o. Let z be t(m). Solve -q + 1 - 2 = z for q. -1 Suppose 0 = 4*u - u - 162. Let z = 58 - u. Suppose -z*r - 10 = -22. Solve 5*c = -8 + r for c. -1 Suppose 17*z - 910 = -10396. Let a = -542 - z. Solve 0 = -5*p + 13*p - a for p. 2 Let o(d) = 42*d - 5*d**2 + 277 + 3*d**2 - 233. Let x be o(22). Solve -41*i + 43*i - 8 = x for i. 4 Suppose -o + 20 = 3*o. Suppose 4*y + 21*y + 34*y = 236. Solve -y*t + 5 = -o*t for t. -5 Let y = 16 + -120. Let t be y/(-28) - 8/(-28). Solve -t*f + 24 = 4*f for f. 3 Let l = 12 - 10. Let h = 10698 - 10695. Solve l*z = -3 - h for z. -3 Suppose -2*y + 1204 = 4*j, 3*y - 14*j + 9*j - 1817 = 0. Let x = -599 + y. Solve 5*n + 20 = x for n. -3 Suppose -4*g = 2*n - 2*g, 2*n - 2 = -g. Suppose f - 4*f - 5*p - 8 = 0, 0 = 2*f + 3*p + 4. Let t(r) = -11*r - 1. Let x be t(-1). Solve -n - x = -f*y for y. 3 Suppose -28 = -2*p + c, -5*p + 3*c + 38 + 34 = 0. Let s be (-653)/(-7) - (2 + p/(-7)). Let w = s - 93. Solve -4*f = -w*f for f. 0 Let x be -40*(-16)/64 - 3. Solve x*v + 1442 = 1498 for v. 8 Let m be (-1078)/(-22)*((-20)/6)/(4/(-6)). Solve -m = 23*p - 268 for p. 1 Let p(r) = r**2 - 11*r + 12. Let w be p(11). Let f(g) = -g**3 + 25*g**2 + 182*g + 126. Let l be f(31). Solve l*u = 4 - w for u. -4 Suppose 5*o - 18 - 32 = -3*v, v - 2*o = 24. Solve -14*s - v = -18*s for s. 5 Suppose -7*f + 5 = 103. Let b = -14 - f. Let p be (3/(-6))/(-1)*b. Solve p = -2*m - 0*m + 2 for m. 1 Let x(n) = 106*n**2 + 14*n - 1. Let b be x(1). Solve 11*y - b = -42 for y. 7 Suppose 0 = 3*v - 0*v - 6. Suppose -137 + 162 = 4*h + k, -h + 1 = 2*k. Solve 1 + h = v*o for o. 4 Suppose -5*r = u - 13, -r + 3 = -u - 2. Let m be 0 - 2/u*3. Suppose -58*l = -41*l. Solve l = j - m for j. 3 Let s(h) = -2*h**2 + 28*h - 15. Let y be s(14). Let f be (-129)/y - 8/(-20). Solve -5*a = 24 - f for a. -3 Let s be (-860)/110 + (-2)/11. Let u be ((-20)/s + 1)/((-1)/(-4)). Solve 4*k + u = -3*k for k. -2 Let f(o) = 12*o**2 + 14*o + 5. Let r be f(-2). Solve 0 = r*m + 8 - 33 for m. 1 Let c be 0 + 57 - 13/13. Solve -41 = -5*j - c for j. -3 Let i be 8/(-4)*5/(-2). Suppose -i*q - 4*z + 7 = 0, -5*z = -5*q - 3*z + 19. Solve -5*d - q = -4*d for d. -3 Suppose -4*h - 7980 = 16*h. Let p = h + 429. Solve -25*f + p*f + 25 = 0 for f. -5 Let a(w) = 6*w - 8. Let c be 184/(-115)*(0 + 4 - -1). Let q be a(c). Let s = q - -57. Solve 0 = -x + s - 3 for x. -2 Let y = 16 - 12. Let i be (9 - 9) + y + -2. Suppose 2 = p + f, f + 2*f + 4 = i*p. Solve a - p*a = 0 for a. 0 Let u = -159615 + 159619. Suppose -3*d + 0*d + 15 = 0. Solve -d*v = -u*v for v. 0 Suppose -c - 2*s + 112 = 0, -3*c + 5*s - 340 = -6*c. Let i = 125 - c. Suppose 4*p + y = -0*p + 4, -i*y + 20 = -p. Solve -2 = -p*a - a for a. 2 Let c(w) = 4*w**2 + 5*w + 6. Let k be c(-8). Let v = 223 - k. Solve v = -n - 0*n for n. -1 Let v(h) = -h**3 + 21*h - 19. Let u be v(4). Solve m - u = 3 for m. 4 Let l be (-584)/(-6) + 4/(-12) - (3 - 6). Solve 28 = -9*b + l for b. 8 Let s(v) = 4*v + 60. Let r = 424 + -438. Let j be s(r). Solve j*z - 2*z + 2 = 0 for z. -1 Let i = 283 + -279. Let c(y) = -y**3 + 3*y**2 + 4*y - 5. Let x be c(3). Solve i*z - 6 = x*z for z. -2 Let g(h) = -h**2 - 5*h + 38. Let x be 7/((-448)/(-24)) + 150/(-16). Let l be g(x). Solve l*m = -m + 9 for m. 3 Let q(y) = -5*y + 93. Let x be q(15). Suppose 12 = -3*o + x. Solve -3*u - 8 + o = 0 for u. -2 Let q be ((-14)/49)/(((-77)/(-588))/(-11)). Solve -11*m = -17*m - q for m. -4 Let w(j) = -5*j + 80. Let i(u) = u**3 - 16*u**2 - 16*u - 4. Let z be i(17). Let a be w(z). Solve 2*r + 5 - a = 0 for r. 5 Let k = 6180 - 6172. Solve 0 = -k*q + 9*q - 6 for q. 6 Suppose t = 2*t - f - 3, 0 = -3*t + f + 9. Suppose -l + 5 = 2*m, t*m - 4*l = 16 - 3. Solve -m*x + 7 - 22 = 0 for x. -5 Suppose -20 = -135*y + 139*y, 0 = -5*m - 3*y + 295. Solve -35*z = m*z - 388 for z. 4 Let j = 3555 - 3452. Solve -101*l = -j*l for l. 0 Let n(a) = -a**2 + 3*a. Let t be n(3). Let c be -5*((-16)/(-5) + t - 5). Solve 14*r = 11*r + c for r. 3 Let s be (2*(-18)/24)/(3/(-122)). Suppose 0 = 3*q + 2 + 1, s = -4*c - 5*q. Let b be -1 + 5 - c*1. Solve 4*i - b - 2 = 0 for i. 5 Let v be 2/4*-15*50/75. Let u = v - -29. Suppose 28*z - 30*z + u = 0. Solve z = -r + 4*r for r. 4 Let u(i) = -575*i + 2300. Let k be u(4). Solve 108*q - 100*q = k for q. 0 Let r(y) = -155*y - 305. Let h be r(-2). Suppose d - 17 = 2*b, -3*b = 3*d - 36 - 15. Solve -12*v - h = -d for v. 1 Let i be -13 + (220 - 12/(-3)). Solve i + 34 = 49*r for r. 5 Suppose -100 = -9*x - 11*x. Suppose -2*n = 3*v - 21, -x*n + 4*v - 7 = -2. Solve 5 = 2*g + n for g. 1 Let r = -26115 + 26400. Solve -r + 173 = 14*h for h. -8 Let v = -85 + 98. Suppose -5*z - 35 = -a, -3*a - z - v = -38. Solve 11*c - 6*c = -a for c. -2 Suppose 3*r = 3*l + 6, 2*l + 1 = 4*r - 3. Suppose -3*w - 2*w + 2*p = -6, r = -p - 3. Suppose 3*q = 2*o + 19, o - 12 + 5 = -4*q. Solve w*n = -q*n + 12 for n. 4 Let n be -8 + (18/(-36))/(1/(-16)). Suppose 18 - 4 = 7*f. Solve n = -f*l + 7 - 3 for l. 2 Let z = 13869 + -13867. Solve -z*q - 511 = -505 for q. -3 Suppose 3*x = 3*z - 24, -16 = 5*x + 9. Suppose -z*i - 2 = -2*n, 4*n - n - 12 = 0. Solve -i*v = -v + 5 for v. -5 Suppose j - 3*s + 2 = 5, s + 85 = 5*j. Suppose j = -23*t + 32*t. Solve t*b - 6*b - 20 = 0 for b. -5 Suppose 8 = 27*n - 25*n. Suppose 4*q + 1 = s, 3*s + n*q - 15 = 68. Solve 5*k + 6 =
{ "pile_set_name": "DM Mathematics" }
x**3 - 8*x**2 + 9*x - 2. What is the units digit of t(5)? 8 Suppose q + 3*q - 12 = 0. What is the tens digit of (7 - 4)/(q/26)? 2 Suppose -k - 1 = 0, -6*l + k = -l - 16. What is the units digit of -4 + (-4 - (-33)/l)? 3 Let k(a) be the second derivative of a**5/20 - a**4/12 - a**3/2 + a**2 + 3*a. What is the tens digit of k(3)? 1 Let t be -1 + (2 - -1) + 2. Suppose -c + t*c = 15. What is the units digit of c? 5 Let n = -25 + 45. What is the units digit of n? 0 Let d(x) = x**2 + 2*x - 9. Let a be d(9). Let p = -57 + a. What is the tens digit of p? 3 Let y be ((-5)/2)/(1/(-2)). Suppose 4*n - 3*n = y*q - 260, 0 = -n + 5. What is the tens digit of q? 5 What is the hundreds digit of 6/(-9)*(-1812)/8? 1 Suppose -2*d - 16 = -3*d. Let o(z) = z**3 + 3*z**2 - 4*z + 2. Let q be o(-4). Suppose q*p - d = -0*p. What is the units digit of p? 8 Suppose 3*t + 9 = 2*d + 8*t, -3*d = -2*t - 4. Suppose 4*c - 22 = -2. Suppose -c*q + 65 = 5*v - 0*q, 2*v + d = 5*q. What is the units digit of v? 9 Let r(p) = 2*p. Let t be (-4)/(-10) - 46/(-10). Let l be r(t). What is the units digit of 1*(3 - l)*-1? 7 Let a(d) = 6*d + 8. What is the units digit of a(4)? 2 Suppose 0 = 4*k - 2*y - 234, 0 = 2*k + y + 4*y - 123. What is the tens digit of k? 5 Let n(r) = 5*r**2 + r - 1. Let f be n(1). Suppose -2*j + 4*j - 34 = -4*v, -f*v = 15. What is the units digit of j? 3 Suppose 0 = -0*q + 2*q - 24. Let y = 23 - q. What is the tens digit of y? 1 Let v(z) = z + 4. Let i be v(-2). What is the tens digit of ((-20)/(-8))/(i/8)? 1 Let r be 16/(3 + -1 - 0). Suppose -5*l - 3*m = -l + 3, -r = -l + m. What is the units digit of l? 3 Suppose 0 = -10*l + 6*l + 620. What is the hundreds digit of l? 1 Suppose -r = 4*o - 41, 169 = 6*r - r + 2*o. Suppose 5*w - r = 37. Suppose 0*i - 4*v - w = -i, -18 = -3*i + 4*v. What is the units digit of i? 2 Let h(u) = 2*u - 7. Let z be h(5). Let x be ((-24)/16)/(z/(-8)). What is the tens digit of (-7)/x*(2 + -14)? 2 Let o(i) = i**3 + 7*i**2 + 5*i - 7. Let y be o(-5). Suppose 3*a + 0*a + 5*q = 38, -5*a + 18 = -3*q. Suppose -3*l + y - a = 0. What is the units digit of l? 4 Suppose u + 0*w - 3*w = 12, 0 = -2*u + 2*w + 12. Suppose -2*p + 4*n = 8, -u*n + 8 = p + n. Let o = 1 + p. What is the units digit of o? 1 Suppose -j - 16 = -62. What is the tens digit of j? 4 Let b be 20/30 + 43/3. Let q = 23 - b. What is the units digit of q? 8 Let r(v) be the second derivative of 5*v**3/6 - 3*v**2/2 - 3*v. Let x be r(3). Let j = 3 + x. What is the units digit of j? 5 What is the units digit of (-6)/(-72)*3 - (-262)/8? 3 Let p = 624 + -419. What is the hundreds digit of p? 2 Suppose 3*z + 2 = 5. What is the units digit of (11/(-1))/(z/(-4))? 4 Suppose -4*l = x - 2 - 12, 5*x = -5*l - 5. Suppose 2*p - p = -3. Let h = p - x. What is the units digit of h? 3 Suppose 0 = -2*q + q + 4. Let v(r) = r**3 - 3*r**2 - 2*r - 1. Let b be v(q). Suppose 0 = -3*y - h + 22, -b*y + 5*h + 4 = -3*y. What is the units digit of y? 6 Let w(c) = -2*c - 3. Suppose 0 = 4*x + f + 39, 4*x - 4*f + 53 = x. Let m be w(x). Suppose -m = -3*l + 29. What is the tens digit of l? 1 Suppose -3*k + 81 = -m - 4*m, 2*k = 2*m + 58. What is the units digit of k? 2 Let w(t) = 4*t. Let z be w(1). Let c(u) = z*u**2 + 2*u + 0*u**3 - 3*u**3 + 4*u**3 + 3. What is the units digit of c(-3)? 6 Suppose b = -4*x + 56, 0 = -x - 4*b + 5 + 24. What is the units digit of (x/2)/((-3)/(-6))? 3 Suppose 3*d + 15 = 0, -r - 26 = -2*r + 4*d. Suppose r*v = 3*v + 6. What is the units digit of v - (2 - 11 - -2)? 9 Let i be (-2120)/70 - (-2)/7. Let d = -12 - i. What is the units digit of d? 8 Let i be ((-50)/(-15))/((-2)/3). Let x = 24 - i. What is the tens digit of x? 2 Suppose 14 = 3*u + 4*k, 5*u - 2 = 3*k + 2. Let y = 2 + u. What is the units digit of y? 4 Let g(c) = 63*c + 6*c**2 - 39*c**2 - 16*c**2. Let n(a) = -3*a**2 + 4*a. Let v(y) = -4*g(y) + 63*n(y). What is the units digit of v(1)? 7 Let y(u) = 6*u + 1. Let d be y(5). Let c = -19 + d. What is the units digit of c? 2 Suppose 20 - 110 = -p. Let n = -44 + p. What is the units digit of n? 6 Let f = -18 - 4. Let t = 48 + f. What is the units digit of t? 6 Let c(q) = -q + 14. What is the units digit of c(8)? 6 Suppose -p + i = -1 - 63, -2*p = 3*i - 123. Suppose f + p = -2*f. Let w = 30 + f. What is the units digit of w? 9 Suppose 0 = -5*d - y - 2*y - 44, -4*y - 33 = 3*d. Let w(j) = -8*j + 0*j - j**3 + 1 - 4 - 8*j**2. What is the units digit of w(d)? 4 Suppose k = -2*k + 24. What is the units digit of 8*(-2 - (-26)/k)? 0 What is the tens digit of ((-30)/(-12))/(2/20)? 2 Let a = -80 + 124. Suppose a = -o + 3*o. What is the tens digit of o? 2 Let w be (12/(-21))/(2/(-7)). Suppose -48 = -2*z - w*z. What is the units digit of z? 2 Let h(z) = z**2 - z + 3. Let x be h(6). Suppose 2*y = -0*y + 5*r + 46, 5*r + x = y. What is the units digit of y? 3 Suppose -4*y + 1 = -c - 3, 8 = 2*y + c. Suppose 4*r - 8 = 5*l, -y*r = -3*r + 2. What is the units digit of (l - -1)*(2 + 0)? 2 Suppose -1 - 19 = -5*l. Suppose 48 = -f + l*f. What is the tens digit of f? 1 Let y = 4 - -9. Let o = y + 1. What is the units digit of o? 4 Suppose 0 = -4*o - 6 - 10. Let v = o - -5. What is the units digit of v? 1 Let t(l) = -l**3 + 8*l**2 - 6*l - 7. Let p be t(5). Let k = 64 - p. What is the units digit of k? 6 Let w(x) = x + 3. Suppose -3*v + y + 28 = 0, -v - 4*y = 2*v - 53. What is the units digit of w(v)? 4 Let n(x) = 11*x**2 + 13*x + 9. Let u(h) = -6*h**2 - 7*h - 5. Let d(r) = -3*n(r) - 5*u(r). Let v be d(-2). What is the units digit of -2 + (-2 - (v + 1))? 1 Let w(y) be the second derivative of 11*y**3/6 - y**2/2 - y. Let p be w(1). Suppose 5*j = -0 + p. What is the units digit of j? 2 Let i(h) = -2*h**3 - 5*h**2 - 3*h + 2. What is the units digit of i(-4)? 2 Suppose -l - 4*l = -250. Suppose 2*n - l = -3*n. What is the tens digit of n? 1 Let v(d) = -6*d + 11. What is the tens digit of v(-7)? 5 Suppose -17 + 82 = 5*c. Let k = -7 + c. What is the tens digit of (-39)/(-12)*(-2 + k)? 1 Let x be 2 + -3 - (-51 - 0). Suppose 0 = -5*n - 0*n + x. What is the units digit of n? 0 Let t be (-2)/(-10) - (-38)/10. Let q = -2 + t. What is the units digit of -3*q/(-3)*1? 2 Suppose -12 - 2 = -2*m. Let v(n) = -n**2 + 7*n. Let u be v(m). Suppose u = 3*q - 3 - 12. What is the units digit of q? 5 Suppose -31 - 14 = -w. What is the tens digit of w? 4 Let u(c) = -c + 9. Let w be u(6). Suppose -3*j = -w*p + 42, -34 = -3*p + 2*j - j. What is the tens digit of p? 1 Let z(w) = -w**3 + 6*w**2 + w + 4. What is the tens digit of z(6)? 1 Let y = -5 - -5. Suppose y = q + 3*q - 20. What is the units digit of q? 5 Let m(x) = -x**2 - 5*x + 7. Let p = -13 - -7. What is the units digit of m(p)? 1 Let m(l) = 4*l + 7. What is the units digit of m(10)? 7 Suppose -4*z + 4*c = 7*c - 153, 2*z - 57 = 5*c. What is the tens digit of z? 3 Let o(n) = -n**3 + 7*n**2 + 8*n - 5. Let w be o(8). Let c(t) = t**3 + 6*t**2 + 2*t - 3. Let u be c(w). What is the units digit of (u/(-5))/(12/(-90))? 8 Suppose -5*q + q + f = -45, -2*q - 5*f = -39. What is the units digit of -1 + (-4)/(q/(-99))? 2 What is the units digit of (-30)/15*-2*(-114)/(-8)? 7 Let u be 48 + (-1 + 6 - 2). Suppose -3*w = -u + 21. What is the tens digit of w? 1 Let d(y) = y + 2. Suppose 0 = 3*c + c. Let h be d(c). Suppose 0 = -4*i + 5*l + 15, 4*l = h*i - 5*i + 19. What is the units digit of i? 5 Suppose 0 = -5*q - 5*f + 100, 2*q - 4*f - 34 = -0*f. Suppose 2 = -a + q. What is the units digit of a? 7 What is the units digit of -3 + ((-144)/(-4) - 3)? 0 Let z(o) = o**3 + o**2 + o + 15. Suppose 0*c = -c. What is the tens digit of z(c)? 1 Let n(k) = k**2 + 3*k + 4. Let d(c) = -c**3 - c**2 - 5. Let u be d(0). What is the tens digit of n(u)? 1 Let b(t) = t**3 - 4*t**2 + 3*t. Let s be b(3). Suppose s = -5*h + h - 24. What is the units digit of ((-2)/(-3))/(h/(-27))? 3 Let p be (-190)/12 + (-2)/12. Suppose -2*q + n + 0 = -7, 0 = 3*q + 4*n - 27. What is the units digit of (p/q)/(2/(-5))? 8 Let d(p) = -p**3 + 3*p**2 + 2*p - 12. What is the hundreds digit of d(-5)? 1 What is the hundreds digit of ((-185)/1)/(-5 - -4)? 1 Let r = 5 + 76. What is the units digit of r? 1 Suppose 0 = -i + 3*i - 12. What is the units digit of (20/(-6))/((-2)/i)? 0 Suppose -4*j + 10 = -0*j - h, -3*h + 12 = 2*j. Let d(p) = p + 1. Let q be d(j). Sup
{ "pile_set_name": "DM Mathematics" }
-21, 3, 65, 177? 2*k**3 + k**2 - 19*k - 3 What is the m'th term of -58, -109, -160, -211, -262, -313? -51*m - 7 What is the n'th term of -6, -18, -32, -42, -42, -26, 12, 78? n**3 - 7*n**2 + 2*n - 2 What is the d'th term of -638, -635, -632, -629? 3*d - 641 What is the c'th term of -247, -261, -277, -295, -315, -337, -361? -c**2 - 11*c - 235 What is the q'th term of 33, -9, -123, -309? -36*q**2 + 66*q + 3 What is the y'th term of 817, 810, 803? -7*y + 824 What is the c'th term of -5, -14, -35, -74, -137, -230? -c**3 - 2*c - 2 What is the a'th term of 2132, 4263, 6392, 8519? -a**2 + 2134*a - 1 What is the u'th term of 10, 7, -2, -17? -3*u**2 + 6*u + 7 What is the o'th term of -3596, -3595, -3594, -3593, -3592, -3591? o - 3597 What is the s'th term of -1319, -1325, -1331, -1337, -1343? -6*s - 1313 What is the z'th term of -14, -72, -162, -278, -414, -564, -722, -882? z**3 - 22*z**2 + z + 6 What is the p'th term of 55, -14, -133, -308, -545, -850, -1229, -1688? -p**3 - 19*p**2 - 5*p + 80 What is the q'th term of -16, -46, -96, -166? -10*q**2 - 6 What is the q'th term of -210, -211, -212, -213, -214? -q - 209 What is the y'th term of 76, 103, 166, 283, 472, 751, 1138? 3*y**3 + 6*y + 67 What is the i'th term of -4, -14, -38, -82, -152? -i**3 - i**2 - 2 What is the q'th term of 155, 301, 447? 146*q + 9 What is the p'th term of -52, -144, -262, -418, -624, -892, -1234, -1662? -2*p**3 - p**2 - 75*p + 26 What is the b'th term of 189, 267, 345, 423, 501, 579? 78*b + 111 What is the h'th term of -67, -287, -653, -1165? -73*h**2 - h + 7 What is the a'th term of -25, -28, -33, -40, -49, -60? -a**2 - 24 What is the q'th term of 4417, 8833, 13249, 17665, 22081? 4416*q + 1 What is the a'th term of -1, -31, -75, -139, -229? -a**3 - a**2 - 20*a + 21 What is the i'th term of -51, -39, -31, -33, -51, -91, -159? -i**3 + 4*i**2 + 7*i - 61 What is the q'th term of 88, 54, 44, 70, 144? 2*q**3 - 48*q + 134 What is the w'th term of 2, -6, -24, -58, -114? -w**3 + w**2 - 4*w + 6 What is the h'th term of 4, 16, 36, 64? 4*h**2 What is the z'th term of -536, -535, -534, -533? z - 537 What is the w'th term of 2050, 2042, 2022, 1984, 1922, 1830? -w**3 - w + 2052 What is the j'th term of 69, 101, 165, 273, 437, 669, 981, 1385? 2*j**3 + 4*j**2 + 6*j + 57 What is the v'th term of -13, -20, -37, -70, -125, -208, -325, -482? -v**3 + v**2 - 3*v - 10 What is the i'th term of 63, 132, 211, 300, 399, 508, 627? 5*i**2 + 54*i + 4 What is the g'th term of -59, -68, -91, -134, -203? -g**3 - g**2 + g - 58 What is the d'th term of 4639, 9281, 13925, 18571, 23219, 27869, 32521? d**2 + 4639*d - 1 What is the n'th term of -25, -43, -57, -55, -25? 2*n**3 - 10*n**2 - 2*n - 15 What is the w'th term of 542, 530, 516, 500, 482? -w**2 - 9*w + 552 What is the s'th term of -268, -266, -264, -262? 2*s - 270 What is the r'th term of -9, -21, -35, -45, -45, -29, 9? r**3 - 7*r**2 + 2*r - 5 What is the x'th term of 0, 8, 22, 42, 68? 3*x**2 - x - 2 What is the v'th term of 166, 135, 104, 73, 42? -31*v + 197 What is the t'th term of 704, 713, 728, 749, 776, 809, 848? 3*t**2 + 701 What is the y'th term of 3308, 6627, 9946, 13265? 3319*y - 11 What is the z'th term of -498, -499, -502, -507, -514? -z**2 + 2*z - 499 What is the c'th term of 10, 2, -10, -26, -46, -70? -2*c**2 - 2*c + 14 What is the o'th term of -30, -31, -32, -33, -34? -o - 29 What is the d'th term of -1130, -1115, -1090, -1055, -1010, -955, -890? 5*d**2 - 1135 What is the v'th term of -18, -69, -160, -297, -486? -v**3 - 14*v**2 - 2*v - 1 What is the o'th term of -766, -775, -784, -793, -802? -9*o - 757 What is the w'th term of -179, -166, -143, -110, -67, -14, 49? 5*w**2 - 2*w - 182 What is the o'th term of 13, 34, 91, 202, 385, 658, 1039, 1546? 3*o**3 + 10 What is the f'th term of -72, -146, -220, -294, -368, -442? -74*f + 2 What is the n'th term of -159, -208, -243, -258, -247, -204, -123, 2? n**3 + n**2 - 59*n - 102 What is the r'th term of 357, 262, 157, 36, -107, -278? -r**3 + r**2 - 91*r + 448 What is the s'th term of -1504, -1512, -1522, -1534, -1548? -s**2 - 5*s - 1498 What is the n'th term of 53, 61, 79, 113, 169, 253? n**3 - n**2 + 4*n + 49 What is the m'th term of -6441, -6440, -6439? m - 6442 What is the n'th term of -69, -75, -91, -123, -177, -259, -375, -531? -n**3 + n**2 - 2*n - 67 What is the c'th term of 11, 29, 65, 125, 215, 341? c**3 + 3*c**2 + 2*c + 5 What is the s'th term of -37, -30, -19, -4? 2*s**2 + s - 40 What is the k'th term of 16, 97, 232, 421, 664, 961, 1312? 27*k**2 - 11 What is the t'th term of 3982, 3983, 3984? t + 3981 What is the x'th term of 6, 4, 0, -6, -14? -x**2 + x + 6 What is the j'th term of 7, -2, -23, -62, -125, -218? -j**3 - 2*j + 10 What is the a'th term of 31, 56, 73, 82? -4*a**2 + 37*a - 2 What is the u'th term of 5, -11, -51, -127, -251, -435? -2*u**3 - 2*u + 9 What is the p'th term of -12, -7, -2, 3, 8, 13? 5*p - 17 What is the b'th term of 14, 17, 22, 35, 62? b**3 - 5*b**2 + 11*b + 7 What is the d'th term of 81, 126, 161, 180, 177? -d**3 + d**2 + 49*d + 32 What is the a'th term of -22, -17, -16, -25, -50, -97, -172? -a**3 + 4*a**2 - 25 What is the b'th term of 43, 39, 31, 19, 3, -17? -2*b**2 + 2*b + 43 What is the l'th term of 15, 86, 203, 366, 575, 830? 23*l**2 + 2*l - 10 What is the z'th term of 39, 139, 307, 543, 847, 1219, 1659? 34*z**2 - 2*z + 7 What is the i'th term of 224, 450, 676, 902, 1128? 226*i - 2 What is the c'th term of 588, 585, 582, 579? -3*c + 591 What is the d'th term of 53, 222, 391, 560, 729, 898? 169*d - 116 What is the z'th term of 53, 50, 47? -3*z + 56 What is the m'th term of -52, -231, -408, -583, -756? m**2 - 182*m + 129 What is the v'th term of 61, 65, 69? 4*v + 57 What is the w'th term of 2931, 5861, 8791, 11721? 2930*w + 1 What is the s'th term of -4, 1, 8, 17, 28? s**2 + 2*s - 7 What is the m'th term of -66, -130, -194, -258? -64*m - 2 What is the x'th term of -11, -11, 7, 55, 145? 2*x**3 - 3*x**2 - 5*x - 5 What is the q'th term of -1244, -2487, -3730, -4973, -6216, -7459? -1243*q - 1 What is the p'th term of 296, 592, 888? 296*p What is the y'th term of -43, -17, 9? 26*y - 69 What is the t'th term of -857, -838, -805, -752, -673, -562? t**3 + t**2 + 9*t - 868 What is the c'th term of -3, 7, 23, 45, 73, 107? 3*c**2 + c - 7 What is the c'th term of -14851, -14848, -14843, -14836? c**2 - 14852 What is the u'th term of 80, 84, 106, 158, 252? 2*u**3 - 3*u**2 - u + 82 What is the g'th term of 973, 1900, 2813, 3706, 4573, 5408, 6205, 6958? -g**3 - g**2 + 937*g + 38 What is the d'th term of -28, -43, -56, -67? d**2 - 18*d - 11 What is the z'th term of -814, -816, -818, -820, -822? -2*z - 812 What is the j'th term of 14, 49, 126, 257, 454, 729, 1094? 2*j**3 + 9*j**2 - 6*j + 9 What is the j'th term of -426, -852, -1262, -1650, -2010? j**3 + 2*j**2 - 439*j + 10 What is the y'th term of -10753, -10754, -10755, -10756, -10757, -10758? -y - 10752 What is the d'th term of -166, -164, -164, -166, -170, -176? -d**2 + 5*d - 170 What is the l'th term of 4, -20, -70, -158, -296? -2*l**3 - l**2 - 7*l + 14 What is the u'th term of -153, -103, -53, -3, 47, 97? 50*u - 203 What is the z'th term of 128, 253, 378? 125*z + 3 What is the g'th term of -42, -45, -50, -57, -66, -77? -g**2 - 41 What is the r'th term of -9, 15, 87, 231, 471, 831, 1335? 4*r**3 - 4*r - 9 What is the x'th term of -162, -636, -1426, -2532, -3954, -5692? -158*x**2 - 4 What is the b'th term of 1552, 3104, 4654, 6202, 7748, 9292? -b**2 + 1555*b - 2 What is the m'th term of 3412, 3412, 3410, 3406, 3400? -m**2 + 3*m + 3410 What is the t'th term of 88, 177, 266, 355, 444? 89*t - 1 What is the m'th term of -67, -272, -613, -1090, -1703, -2452, -3337? -68*m**2 - m + 2 What is the d'th term of 3, -18, -39, -60? -21*d + 24 What is the r'th term of 10, 0, -10, -20? -10*r + 20 What is the r'th term of 88, 87, 84, 79, 72? -r**2 + 2*r + 87 What is the l'th term of -25, -27, -29? -2*l - 23 What is the s'th term of -17, 7, 25, 31, 19, -17, -83? -s**3 + 3*s**2 + 22*s - 41 What is the v'th term of -1476, -1478, -1480, -1482, -1484? -2*v - 1474 What is the d'th term of 103, 97, 77, 37, -29? -d**3 - d**2 + 4*d + 101 What is the u'th term of 164, 324, 500, 698, 924? u**3 + 2*u**2 + 147*u + 14 What is the r'th term of 402, 444, 514, 61
{ "pile_set_name": "DM Mathematics" }
-748, -619, -512, -433, -388, -383, -424? -r**3 - 5*r**2 + 151*r - 893 What is the o'th term of 354, 71, -842, -2391, -4582, -7421, -10914? -o**3 - 309*o**2 + 651*o + 13 What is the z'th term of -4026087, -8052148, -12078185, -16104198? 12*z**2 - 4026097*z - 2 What is the n'th term of 1344924, 1344923, 1344922, 1344921, 1344920? -n + 1344925 What is the l'th term of 13328, 13846, 14364, 14882? 518*l + 12810 What is the u'th term of -2310295, -2310214, -2310133, -2310052, -2309971, -2309890? 81*u - 2310376 What is the c'th term of 377936, 755870, 1133804, 1511738? 377934*c + 2 What is the j'th term of -155336, -311665, -467988, -624305, -780616, -936921? 3*j**2 - 156338*j + 999 What is the g'th term of 7043, 29516, 66971, 119408, 186827, 269228, 366611? 7491*g**2 - 448 What is the r'th term of -8132, -33766, -76474, -136244, -213064, -306922, -417806? 2*r**3 - 8549*r**2 - r + 416 What is the g'th term of 121944, 121989, 122034? 45*g + 121899 What is the r'th term of 1422, 7536, 18358, 33894, 54150, 79132? r**3 + 2348*r**2 - 937*r + 10 What is the n'th term of 496431, 992781, 1489145, 1985529, 2481939, 2978381, 3474861, 3971385? n**3 + n**2 + 496340*n + 89 What is the i'th term of -6017351, -12034725, -18052099, -24069473? -6017374*i + 23 What is the c'th term of -11883, -49118, -111699, -199626, -312899? -12673*c**2 + 784*c + 6 What is the p'th term of -15833951, -15833945, -15833937, -15833927, -15833915, -15833901? p**2 + 3*p - 15833955 What is the i'th term of -242450, -242376, -242302, -242228, -242154? 74*i - 242524 What is the b'th term of -271, -1949, -6389, -14935, -28931, -49721? -224*b**3 - 37*b**2 + b - 11 What is the h'th term of -683016, -682983, -682950, -682917? 33*h - 683049 What is the q'th term of -998478, -998336, -998194, -998052, -997910, -997768? 142*q - 998620 What is the s'th term of 291, 793, 2199, 4959, 9523, 16341, 25863? 75*s**3 + 2*s**2 - 29*s + 243 What is the o'th term of -8475, -34718, -78449, -139668, -218375, -314570? -8744*o**2 - 11*o + 280 What is the x'th term of -80866, -77740, -69250, -52714, -25450, 15224? 447*x**3 - 3*x - 81310 What is the r'th term of 4680, 9531, 14408, 19311, 24240? 13*r**2 + 4812*r - 145 What is the q'th term of 1309748, 2619502, 3929256, 5239010, 6548764, 7858518? 1309754*q - 6 What is the t'th term of 951379181, 951379183, 951379185? 2*t + 951379179 What is the r'th term of -3320270, -6640555, -9960840, -13281125? -3320285*r + 15 What is the m'th term of 101592, 100798, 100002, 99204, 98404, 97602, 96798? -m**2 - 791*m + 102384 What is the k'th term of 214584307, 214584309, 214584311, 214584313, 214584315? 2*k + 214584305 What is the i'th term of 341838, 683606, 1025310, 1366950, 1708526? -32*i**2 + 341864*i + 6 What is the c'th term of -14049915, -14049869, -14049821, -14049771, -14049719, -14049665? c**2 + 43*c - 14049959 What is the u'th term of 297246, 1188938, 2675076, 4755648, 7430642? -2*u**3 + 297235*u**2 + u + 12 What is the i'th term of 92108, 92133, 92158? 25*i + 92083 What is the t'th term of 30098083, 30098085, 30098087, 30098089, 30098091? 2*t + 30098081 What is the l'th term of -40281, -52052, -71669, -99132, -134441, -177596, -228597? -3923*l**2 - 2*l - 36356 What is the l'th term of 35463, 70908, 106345, 141774, 177195, 212608, 248013? -4*l**2 + 35457*l + 10 What is the i'th term of 60187, 240701, 541547, 962725, 1504235, 2166077, 2948251? 60166*i**2 + 16*i + 5 What is the n'th term of -19085, -38479, -57873, -77267, -96661, -116055? -19394*n + 309 What is the p'th term of -632665, -1265296, -1897927, -2530558, -3163189, -3795820? -632631*p - 34 What is the x'th term of 1140854, 1140850, 1140846, 1140842? -4*x + 1140858 What is the d'th term of -1774909, -1774926, -1774943, -1774960, -1774977, -1774994? -17*d - 1774892 What is the i'th term of -403349, -1613955, -3631639, -6456407, -10088265? -i**3 - 403533*i**2 + 185 What is the f'th term of 2072, 3877, 5422, 6707, 7732, 8497? -130*f**2 + 2195*f + 7 What is the c'th term of 96207682, 96207683, 96207684, 96207685? c + 96207681 What is the t'th term of -34823, -69748, -104769, -139892, -175123, -210468, -245933, -281524? -t**3 - 42*t**2 - 34792*t + 12 What is the z'th term of 4205, 8659, 13241, 17945, 22765, 27695, 32729, 37861? -z**3 + 70*z**2 + 4251*z - 115 What is the w'th term of 6594, 7009, 8136, 10329, 13942, 19329? 59*w**3 + 2*w**2 - 4*w + 6537 What is the s'th term of -553424, -553389, -553282, -553067, -552708, -552169, -551414, -550407? 6*s**3 - 7*s - 553423 What is the t'th term of -2886, -3184, -3608, -4158, -4834, -5636, -6564? -63*t**2 - 109*t - 2714 What is the w'th term of 6975580, 13951159, 20926738? 6975579*w + 1 What is the b'th term of -43010, -344212, -1161762, -2753834, -5378602, -9294240? -43029*b**3 + b + 18 What is the g'th term of 12050, 12348, 12658, 12986, 13338, 13720, 14138? g**3 + 291*g + 11758 What is the u'th term of 58530388, 58530397, 58530406, 58530415, 58530424, 58530433? 9*u + 58530379 What is the s'th term of -526278, -526039, -525800, -525561, -525322? 239*s - 526517 What is the a'th term of 96555, 193030, 289479, 385902, 482299, 578670, 675015? -13*a**2 + 96514*a + 54 What is the x'th term of -697, -3539, -8295, -14965? -957*x**2 + 29*x + 231 What is the q'th term of 187325, 376759, 566193? 189434*q - 2109 What is the r'th term of -1650733, -3301503, -4952273, -6603043, -8253813? -1650770*r + 37 What is the w'th term of -328794, -657535, -986216, -1314807, -1643278, -1971599, -2299740, -2627671? 5*w**3 - 328776*w - 23 What is the q'th term of -93315, -186108, -278901? -92793*q - 522 What is the m'th term of -78505708, -157011395, -235517080, -314022763? m**2 - 78505690*m - 19 What is the q'th term of 1, 97, 229, 421, 697? 4*q**3 - 6*q**2 + 86*q - 83 What is the d'th term of 701, 4408, 14523, 34268, 66865, 115536, 183503? 537*d**3 - 18*d**2 + 2*d + 180 What is the a'th term of -115465, -113698, -110753, -106630, -101329? 589*a**2 - 116054 What is the i'th term of -23725, -44773, -65821, -86869? -21048*i - 2677 What is the f'th term of -371, -2472, -8165, -19244, -37503, -64736? -299*f**3 - 2*f**2 - 2*f - 68 What is the u'th term of 3076, 13378, 30550, 54592, 85504, 123286? 3435*u**2 - 3*u - 356 What is the x'th term of -7169, -56997, -192165, -455345, -889209, -1536429, -2439677, -3641625? -7112*x**3 + 2*x**2 - 50*x - 9 What is the p'th term of 1531, 5902, 13207, 23464, 36691, 52906, 72127? 3*p**3 + 1449*p**2 + 3*p + 76 What is the x'th term of -129, -1951, -4983, -9231, -14701, -21399? -x**3 - 599*x**2 - 18*x + 489 What is the h'th term of -697956, -697967, -697980, -697995, -698012? -h**2 - 8*h - 697947 What is the z'th term of 5644384, 5644383, 5644382, 5644381, 5644380, 5644379? -z + 5644385 What is the x'th term of 3841270, 3841277, 3841286, 3841297, 3841310? x**2 + 4*x + 3841265 What is the d'th term of 577398, 2308553, 5193810, 9233169, 14426630, 20774193, 28275858? 577051*d**2 + 2*d + 345 What is the f'th term of 35983, 36009, 36023, 36001, 35919? -4*f**3 + 18*f**2 + 35969 What is the q'th term of 10255, 20290, 30083, 39634, 48943? -121*q**2 + 10398*q - 22 What is the z'th term of -2416, -9862, -22278, -39670, -62044? -z**3 - 2479*z**2 - 2*z + 66 What is the l'th term of -1991442, -1991432, -1991408, -1991364, -1991294, -1991192, -1991052? l**3 + l**2 - 1991444 What is the n'th term of -325, -45, 715, 2189, 4611, 8215? 39*n**3 + 6*n**2 - 11*n - 359 What is the k'th term of 26938079, 26938081, 26938083, 26938085, 26938087? 2*k + 26938077 What is the c'th term of 545, -1404, -4693, -9322, -15291, -22600? -670*c**2 + 61*c + 1154 What is the t'th term of 1186870, 2373732, 3560594? 1186862*t + 8 What is the l'th term of 35965, 36323, 36681, 37039, 37397, 37755? 358*l + 35607 What is the j'th term of -215153, -430277, -645375, -860441, -1075469, -1290453, -1505387, -1720265? j**3 + 7*j**2 - 215152*j - 9 What is the h'th term of 795966, 796725, 797480, 798231, 798978, 799721? -2*h**2 + 765*h + 795203 What is the z'th term of -86047, -86060, -86077, -86098, -86123? -2*z**2 - 7*z - 86038 What is the t'th term of -13671, -27296, -40949, -54630, -68339? -14*t**2 - 13583*t - 74 What is the b'th term of 517294362, 517294364, 517294368, 517294374? b**2 - b + 517294362 What is t
{ "pile_set_name": "DM Mathematics" }
6). Let t(i) = -i + 2. Calculate t(p). 7 Let o(b) = -b**2 - 2*b. Suppose 0 = v + 7 + 1. Let u be 3/(2/(v/(-6))). Let j = u - 3. Give o(j). 1 Let n(z) = 7*z**3 + 4*z**2 - 5*z - 13. Let p(i) = 4*i**3 + 2*i**2 - 3*i - 7. Let h(x) = -3*n(x) + 5*p(x). Determine h(-3). 13 Suppose 68 = 4*w - 80. Let h = w + -26. Let j = 7 - h. Let o(p) = p**3 + 4*p**2 + p - 1. What is o(j)? -5 Suppose 5*t - 5*q - 40 = 0, -3*t - 5*q - 11 = -3. Let c = 6 - t. Let k(h) = 2 - h**2 + h**2 - 4*h - h**c. What is k(-5)? -3 Let o be -1*(1 - -1) + 5. Let a(m) = -8 - o*m - 4*m + 5*m + 3. Let x(f) = -f - 1. Let c(v) = a(v) - 3*x(v). Determine c(-2). -4 Let p(z) = 5 - 3 + 21*z - 23*z. Give p(-2). 6 Suppose -3*q = q. Let y(u) = -2*u + 5 + u + q*u. What is y(5)? 0 Let o(g) = 0 - 3*g**2 + g**2 + 1. Let r = -6 - -7. Determine o(r). -1 Let o(g) = 11*g**2 - g. Let m be 3*-1 + (-1 - -5). What is o(m)? 10 Let i(a) = -a**3 + 1. Let w(x) = -4*x - 5*x**2 + 2*x**2 - 1 + 2*x**2. Let h be w(-3). Let m be h/4*(1 - 1). What is i(m)? 1 Let t(x) = 2*x**2 + 6*x + 0*x - 3*x**2. Let v be (-63)/(-6) + (-1)/(-2). Suppose -5*u + v + 14 = 0. Calculate t(u). 5 Let s(a) = -4*a**2 - 6*a**3 + 0 + 3*a**2 - 1 - 2*a. Let l = -26 - -25. What is s(l)? 6 Let y(p) = 6*p**2 - 46*p - 36. Let i(j) = j**2 - 9*j - 7. Let n(x) = 16*i(x) - 3*y(x). Give n(-4). -12 Let z(x) = -5*x**3 - x. Let r(m) = -5 - 2*m - 4*m**2 - 2*m - 1 + m**3. Let i be r(5). Determine z(i). 6 Let h(y) = 7*y - 9. Let b be h(-5). Let t be (55/b)/(2/(-8)). Let c(q) = -8 + 0*q**2 + q**2 - 4*q + 1. Determine c(t). -2 Let j(a) = 5 + 2*a - 5 - 3 + 5. Determine j(-5). -8 Suppose -3*r - 4 = 5*d, -r + 5*d + 1 - 9 = 0. Let y(o) = o**2 + 2*o + 4. What is y(r)? 7 Let q be 0/(-2) + (-2 - -4). Let d(l) = -6*l**2 + 13*l**2 - 4*l - q - 6*l**2. Give d(3). -5 Let h(k) = -2*k**2 - 1 - 6 + 6 + 0. Determine h(-2). -9 Let z = 8 - 6. Suppose -i = -z*x + 1, -3*i + 6*i = x + 7. Let v be 8/(-2 + 0) + x. Let d(u) = u**3 + 2*u**2 + 2*u - 1. Calculate d(v). -5 Let y(h) = -2*h + 6. Let q = 18 + -24. Give y(q). 18 Let z(t) = t**3 - 15 - 2*t - 3*t - 5*t**2 + 13 - 2*t**3. Calculate z(-3). -5 Let b(o) = -o + 11. Suppose 0 = 2*s, -3*s + 0*s = 4*j. Determine b(j). 11 Let p(j) = j + 10. Let r(u) = u**3 + 7*u**2 - 6*u + 4. Let v be r(-8). Let g be p(v). Let w(q) = -q + 2. What is w(g)? 4 Let j(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 + b**3 + 5*b**2. Determine j(0). 6 Suppose -8 = 4*t - 2*t. Let x be (6/t)/(9/24). Let y(f) = -8*f**2 + f + 9. Let s(c) = c**2 - c - 1. Let g(q) = 6*s(q) + y(q). Determine g(x). -9 Let q(o) = o**2 + 7*o + 2. Let h(k) = 3*k**2 + 22*k + 7. Let g = -4 + 6. Let b(p) = g*h(p) - 7*q(p). Give b(-4). 4 Let r(k) be the first derivative of -k**7/840 - k**6/360 - k**5/120 - 11*k**4/24 + 2*k**3/3 - 1. Let q(b) be the third derivative of r(b). Determine q(0). -11 Let n(p) = 3*p + 6. Let i(j) = 3*j + 6. Let b be i(-7). Let z = 10 + b. Give n(z). -9 Let m be 15/(-4) + (-3)/12. Let o(b) = -b**3 + b**2. Let n(t) = t**3 - 6*t**2 + 2. Let q(g) = n(g) + 2*o(g). Give q(m). 2 Let h(x) be the second derivative of -x**5/60 - x**4/24 + 2*x**3/3 + 3*x**2/2 - 2*x. Let w(m) be the first derivative of h(m). Determine w(0). 4 Let x(u) = -u**2 + 1. Let c = 6 + -4. Suppose 5*g + 4*t = 2*t - c, -2*g = 5*t + 5. Suppose 2*n - 1 + 5 = g. Calculate x(n). -3 Let t(r) = -2*r - 5. Let z(h) = -h - 4. Let w(n) = -2*t(n) + 3*z(n). Let o be w(6). Let s(m) = 4*m**2 + m - 2*m**3 + m**3 + m. Calculate s(o). 8 Let t(a) be the first derivative of -a**4/24 + 5*a**3/6 + 3*a**2 + 7. Let j(f) be the second derivative of t(f). Give j(4). 1 Let b(x) = x**2 + 2*x + 3. Let p(f) = 4*f**3 - 2*f**2 + 1. Let a be p(1). Let w = 10 + -8. Suppose a*z + w*z = -15. What is b(z)? 6 Let j be (-1 - 3/(-1)) + 0. Let y(r) = 2*r**2 - 3*r + 3. Let o be y(j). Let u(p) = -p**3 + 6*p**2 - 4*p + 2. What is u(o)? 7 Let o(h) be the second derivative of 1/2*h**3 - 3/2*h**2 - 2*h + 0. Suppose 3*i = q - 15, 4*i + 1 = -15. What is o(q)? 6 Let o(d) = d**2 - d + 2. Let n be (-1 - -1)/(1 + 0). What is o(n)? 2 Let p(a) = -26*a + 3*a**3 - 1 + 15*a - 2*a**3 + 10*a. Suppose 8 + 2 = 5*h. Give p(h). 5 Let y(i) = -5*i + 1. Let v(j) = 2. Let x(a) = 4*v(a) - y(a). Determine x(5). 32 Let s(f) be the second derivative of -f**4/12 - f**3/2 + 3*f**2/2 - 4*f. Let l(k) be the first derivative of s(k). Determine l(-5). 7 Suppose 82 = 4*m - 6. Let j be m/6 + 4/(-6). Let a(i) be the third derivative of i**4/12 - i**3/3 - 2*i**2. Calculate a(j). 4 Let b(c) = c**2 - 1. Let f(g) = 5*g**2 - 4*g - 3. Let v(i) = -3*b(i) + f(i). Determine v(3). 6 Let q(g) = g**2 + 3*g + 3. Let f be (4/(-6))/(10/(-15)). Suppose -3 = x - f. Let w be q(x). Let c(h) = -4*h**3 - h**2 + h. What is c(w)? -4 Let i(y) be the third derivative of y**5/60 + y**4/4 - y**3/6 + 25*y**2. What is i(-7)? 6 Let c(j) be the second derivative of -j**6/240 - j**5/120 + j**4/12 - j. Let q(u) be the third derivative of c(u). What is q(-1)? 2 Let v(r) = r**2 + 8*r + 3. Let x(t) be the second derivative of -t**5/20 + t**4/12 + t**3/6 - 2*t**2 - 7*t. Let n be x(2). What is v(n)? -9 Let t(p) = -p**3 - 3*p**2 + 4*p + 1. Let i be t(-4). Suppose 0 = -3*l + i + 2. Let n(w) = 0 + 0 - w + l. Give n(-3). 4 Suppose 0 = -5*q - 5*c - 10, 3*q - 6 - 13 = 2*c. Let d(p) = -3*p. Calculate d(q). -9 Let l = 10 - 6. Let b(f) = -1 - 3 + 2*f - 1. Calculate b(l). 3 Let q(o) = 2*o - 2. Suppose -3*m + 7 = -2. Suppose 6 = x - m*x. What is q(x)? -8 Let i = -9 + 12. Let j(r) = -r**3 + 4*r**2 - 2*r + 2. Determine j(i). 5 Suppose 0 = -15*f + 14 + 121. Let c(d) = -d**3 + 8*d**2 + 10*d + 6. Calculate c(f). 15 Let y(k) = 23*k - 21. Let p(f) = -8*f + 7. Let d(g) = 8*p(g) + 3*y(g). Let b(h) = 9*h - 13. Let i(s) = 6*b(s) - 11*d(s). What is i(-2)? 1 Suppose s + 4*x = 13, s - 22 = -s - 4*x. Let k(c) = c - 7. Determine k(s). 2 Suppose -m + 2*j - 4 = -j, m + 4 = j. Let q = m + 6. Let h(g) = -6*g**2 + 3*g + 4. Let y(z) = 6*z**2 - 2*z - 3. Let d(l) = q*h(l) + 3*y(l). Give d(1). 5 Suppose o - 4*o + 6 = 0. Suppose o*l + 2*p + 1 + 5 = 0, -3*p - 15 = 0. Let u(a) = 2*a - 2. What is u(l)? 2 Let n(q) = q + 3. Suppose -9*a + 7*a - 10 = 0. What is n(a)? -2 Let b(s) = -s**2 - 3*s + 2. Let g be 2/9 + 276/(-27). Let d = g + 6. Let k be b(d). Let i(r) = -r**2 - 6*r - 3. Give i(k). 5 Let q(o) = o**2 + 3*o - 7. Let d = 0 + -5. Determine q(d). 3 Let j be -12*(4 + 44/(-12)). Let l(q) = -q**3 - 3*q**2 + 5*q + 5. Let x be l(j). Let p(m) = 9*m**3 - m**2. Calculate p(x). 8 Let u = 0 - 0. Suppose 4*q - 14 = r, u = 3*q - 7*r + 3*r - 4. Suppose 23 = -3*t - 4*d, -q*t - 7 = -5*d + 3. Let v(m) = m**3 + 5*m**2 + 3*m + 7. What is v(t)? -8 Let a(q) = -q**3 + q**2 - q - 14. Let r(n) = n**3 + 15*n**2 - 15*n + 16. Let i be r(-16). What is a(i)? -14 Let n(s) = -3*s - 10. Let h(w) = 2*w + 5. Let x(t) = 7*h(t) + 4*n(t). Let b = 15 - 9. Determine x(b). 7 Let c(r) = -r**2 - 2*r - 2. Let s(u) = -u - 3. Let g be s(-3). Suppose -5*i = -5, 10 = -g*t - 3*t + i. Let y be 1/((-2)/t - 1). What is c(y)? -5 Suppose -4*p = -2*b + 6, -2*p = 3*b - 2*b + 17. Let s(d) = d - 1. Calculate s(b). -8 Let y(v) be the second derivative of -v**8/6720 - v**7/1260 + v**6/240 - v**4/6 - 7*v. Let d(z) be the third derivative of y(z). Determine d(-3). 0 Suppose k - 18 = -2*k. Let z(n) = -n**2 + n + 1. Let u(b) = 5*b**2 - b - 3. Let h(f) = -u(f) - 6*z(f). What is h(k)? 3 Let u(x) = -x - 1. Suppose o + 2*m + 8 = 2*o, o - 4*m = 2. Suppose 2*a - 21 = l, -a = -4*l - 0*l - o. Let p be a/4*(6 - 4). Determine u(p). -6 Let b = 7 + -4. Suppose 2*x + l - 25 = 4*l, 4*x - b*l = 35. Let n(q) = x*q - q**2 - 3 + 7 - 9*q. Determine n(-4). 4 Let j(t) be the second derivative of 11*t**4/6 + t**3/3 + t**2/2 - 12*t. Give j(-1). 21 Let i(g) = g**2 - 4*g - 7. Let h(c) = c + 2. Let o(v) = -7*h(v) - 2*i(v). Give o(3). -15 Let a(w) = -w**2 + 3*w. Let h(q) be the third derivative of -q**5/30 + q**4/6 + q**2. Let l(x) = -3*a(x) + 2*h(x). What is l(0)? 0 Let r be (-1 + (-6)/(-10))*(-6 + -4). Let n(u) = u**2 - 5*u - 3. What is n(r)? -7 Let s(d) = -85*d - 83*d + 169*d. Give s(3). 3 Let f = 18 + -12. Suppose -f*s - 3 = -s - 4*q, -2*s = q - 4. Let x(b) = -3*b + 0*b + s + 2*b. Determine x(4). -3 Let a be 1 + -3 - (1 - 8). Let v = a - 3. Let y(r) = -4 - 3*r**2 + r**3 + 0*r**2 - r + 2. Calculate y(v). -8 Suppose -9*p + 8*p + 7 =
{ "pile_set_name": "DM Mathematics" }
= -124 - -126. Which is the second biggest value? (a) q (b) -3 (c) 11 a Suppose -5*x - 20 = w - 5*w, -4*w - 8 = 2*x. Suppose -p - 3 = -w*p. What is the third biggest value in 0, 1, p? p Suppose -12*y = -3*y + 36. Which is the third smallest value? (a) 6 (b) y (c) -0.2 (d) 1.5 d Let g be 3 + 112/(-36) + 20/(-90). Which is the third biggest value? (a) g (b) 0.4 (c) -48 c Let d be (8/10)/((-16)/40) + -1. Which is the third biggest value? (a) d (b) 0.1 (c) 27 a Let x = -360 - -360.2. What is the smallest value in 2, 2/13, 2/15, x? 2/15 Let k = 61 + -917/15. Let x = 0.4 - 0.2. What is the fourth biggest value in -0.3, x, k, 0.1? -0.3 Let d = -3 - 0. Let k be (-226)/(-16) - 24/192. Let o(g) = -g + 9. Let r be o(k). Which is the biggest value? (a) r (b) 0 (c) d b Let j be (-5)/(100/(-85)) - 5. Which is the second biggest value? (a) j (b) 0.3 (c) 5 b Let g = -4.6 + 5. Let r be 316/(-1422)*(-1 + 26/44). What is the second biggest value in g, 4, r? g Let s = 21/31 + -127/279. Let d = 397/4 + -100. Which is the second biggest value? (a) s (b) 0.2 (c) d b Let x = 130 + -129.95. Let h be (3/6)/(2/(-4)). Which is the third biggest value? (a) 0 (b) -1/4 (c) h (d) x b Let h = -1400 - -1397. Let y = 12 + -12.18. Which is the biggest value? (a) 1/3 (b) y (c) h a Let d be ((-48)/(-168))/(1 - 0). Let w = -0.2 - -0.4. Let x = w + -2.2. What is the second biggest value in -0.2, x, d? -0.2 Let p = -3 + 3. Let j = 0.06 + -9.06. Let o = 7 + j. What is the smallest value in o, 2/7, p? o Let d = -3.6 - 0. Let j = 3.6 + d. Let w = j + -4. Which is the biggest value? (a) w (b) 5 (c) 0.2 b Let z = 756 - 3782/5. What is the third biggest value in -1/6, z, 5, 1/4? -1/6 Let j = 0.217 - 5.217. What is the biggest value in 0.1, j, -1? 0.1 Let m(s) = s + 3. Let q be m(-5). Suppose -3*z + 4*z - 2 = 0. Let r be z/(-6)*q/(-2). What is the second biggest value in -3, 5, r? r Let s(f) = -9*f**2 + 39*f - 17. Let m be s(4). Let o(z) = z**2 + 9*z + 11. Let l be o(-8). What is the third biggest value in l, 2, m, -4? -4 Let o = 223/2 + -111. Which is the third biggest value? (a) -6/7 (b) o (c) -2 c Let s = -15 - -15.14. Let t = -0.25 + s. Let m = t + 5.11. Which is the third smallest value? (a) 4/3 (b) m (c) -0.4 b Let f = 2569 + -2567. Suppose -4*o - 3 = -w, 0 = -2*w - 5*o - 3 - 4. Which is the third biggest value? (a) f (b) 1 (c) w (d) 0.3 d Let s = -5 + 5.3. Suppose r + 18 = 53. Let y be 8/5*r/42. Which is the third biggest value? (a) 0.2 (b) y (c) s a Let n = 0.01 - -9.99. Let r = n - 5. Let h = 0.89 - -0.11. Which is the second smallest value? (a) h (b) r (c) -0.3 a Let l = -14 - -12. Let p = l - -6. Let t = -10 - -5. Which is the biggest value? (a) p (b) -3 (c) t a Let p = 17.002 - 0.002. Let v = 16.9 - p. What is the third biggest value in 17, v, 3? v Let r be 0 + (3 - (-16)/(-5)). Let n = 29/8 - 741/200. What is the third biggest value in 3, r, n? r Let u = -367 + 3304/9. Which is the third smallest value? (a) u (b) -0.077 (c) -1 a Let r = 167123/48 - 3482. Let q = 1/48 + r. Which is the biggest value? (a) 1/4 (b) -4/5 (c) q a Let s = 28 - 28.17. Let h = s + 0.37. What is the second biggest value in -1/2, h, 0.3? h Let u = -4.4 + 2. Let p = 2 + u. Let f = -436.5 + 437. Which is the second biggest value? (a) 4 (b) f (c) p b Suppose 0 = -5*i + 5*w + 25, 0*w = 5*i - w - 45. Suppose -14*t = -i*t + 44. Which is the second biggest value? (a) 0 (b) -5 (c) 4 (d) t a Let h be ((-63)/(-168))/(-2*(-18)/16). Let a be (-5)/(-3)*2/(-5). What is the third biggest value in 4/7, -4/3, h, a? a Let d = -762.1 - -762. What is the second smallest value in 2, 6, d, -0.5? d Let x = 5.26 - 5.46. Let a be 143/55 + 0 + -2. What is the third biggest value in x, a, -2? -2 Let x = 0.09 + 81.51. Let p = -82 + x. Which is the third biggest value? (a) p (b) -1/7 (c) -5 c Let m = -132.7 + 133.2. What is the third smallest value in -7/3, m, 4/9, -0.2? 4/9 Let d = 760 - 759.6. What is the biggest value in -1/4, d, 0.15, -2/7? d Let w = 1.05 - 2.05. Let d = -2.8 + -0.2. Which is the biggest value? (a) w (b) d (c) -2 a Let f = -1.9 + -0.1. Let k = 3.19 + -0.19. Let c = k - 3. What is the biggest value in f, -1/4, c? c Let j be 39/36 + (-6)/(-24). Suppose 10*r - 5*r + 3*i - 9 = 0, 3*r - 4*i = 17. Which is the second smallest value? (a) 0.5 (b) j (c) r b Let j = -69979/645 + -37/215. Let h = j - -107. Let n = -1.7 - -2. Which is the second smallest value? (a) n (b) h (c) -1/3 c Suppose 5*c - 3*u + 145 = -293, 5*c + 446 = u. Let o be 2 - c/25*-5. What is the smallest value in -2/7, -0.4, o, 2? o Let j = 162.4 - 148. Let q = j + -15. Let k = 1 + q. Which is the third biggest value? (a) -3/7 (b) k (c) -4 c Suppose -3 = 3*k, b = 3*b - 5*k - 23. Let f be (-1)/3 - (-3)/b. Suppose -3*p + 7 - 25 = f. What is the second biggest value in p, -2/3, 0? -2/3 Let i = 5.748 + -0.748. Which is the smallest value? (a) 27 (b) i (c) -0.1 (d) 5/2 c Let s = -168 - -170.01. Let x = s + -0.01. Suppose -2*g + 162 = 48*g - 338. What is the biggest value in g, 3/4, x? g Let j be (24/27)/(((-240)/(-36))/2). What is the biggest value in j, -2/9, -0.5? j Let u = 11 + -14. Let g be ((-2)/10)/(2/(-25)). Let a be 1/(-3)*(-18)/8. What is the second biggest value in u, a, g? a Let h = -1.9 - -2. Let n = -418.4 + 418. Which is the second biggest value? (a) 3/8 (b) n (c) h c Let m = 80/19 + -278/57. What is the smallest value in m, -6, 1? -6 Let i = 996/7 - 14926/105. What is the biggest value in i, 0.8, -5, -3? 0.8 Let s = -94 + 94. Let x = 1.8 - 5. Let i = x - -0.2. Which is the second biggest value? (a) i (b) s (c) 0.4 b Suppose -10 = 42*o - 47*o. What is the fourth biggest value in 2/15, 1/3, 5, o? 2/15 Let n = -398 - -396. Which is the smallest value? (a) n (b) 0.4 (c) -0.06 a Let n = 1.3 - 1. Suppose -170*b + 178*b = -40. What is the second smallest value in n, 4, b? n Let s = 2.34 - 2.04. What is the second biggest value in -2, s, 4/5? s Let j(h) = h**3 - 5*h**2 + 3*h + 1. Let d be j(4). Let w = -33 + 33.04. Let z = w - -0.16. Which is the biggest value? (a) d (b) z (c) 0.1 b Suppose h + 5*x = x + 13, -9 = -3*x. Which is the second smallest value? (a) -0.08 (b) h (c) 0 c Let m(f) = 2*f**3 - 8*f**2 - 39*f + 2. Let s be m(7). Which is the smallest value? (a) s (b) -1/2 (c) 5 b Let m = 1 - 1/2. Suppose 0 = 1067*a - 1070*a + 9. What is the third smallest value in a, m, -2/11? a Suppose 2*q - 74 = -5*v + 3*q, 4*v - 58 = 2*q. Suppose 10*s - 15 = v. What is the third biggest value in -27, s, 2/3? -27 Let p = -3 - -8. Let s = -50 + 52. Let c = -2425/7 - -347. What is the smallest value in p, c, s? c Let d = -97.43 - -98. Let z = 0.86 - d. What is the second smallest value in z, -2, 5/2? z Let s = 59 + -26. Let m = 33.2 - s. Let h = -13 + 9. Which is the second smallest value? (a) m (b) -2 (c) h b Let k = -109 - -114.3. Let s = k - 9.3. What is the smallest value in -0.08, -0.3, -2/9, s? s Let f = -153.92 + 154. Let z = 1.928 + 0.072. Which is the second smallest value? (a) -0.3 (b) f (c) z (d) 1 b Let n be (56/(-12))/(4/(-6)). Let x(c) = -c**3 + 2*c**2 + 6*c - 6. Let y be x(4). Let w = -12 - y. What is the third smallest value in n, w, -2? n Let b = -3022/9 - -336. What is the second biggest value in b, -16/3, -0.2, 0.5? b Let q be (162/(-24) - -8)*2/20. Which is the second smallest value? (a) q (b) -3 (c) 0.8 (d) 2 a Let m = -0.65 + 0.15. Which is the second biggest value? (a) m (b) 8 (c) -1/10 c Let u = 803 + -802.9. Let k = 4.9 - -0.1. Which is the second smallest value? (a) -3 (b) 8/5 (c) u (d) k c Let x = 1763/8 - 220. Which is the fourth biggest value? (a) x (b) 0.1 (c) 0.2 (d) 5 b Suppose 4*v + 29 = 41. Which is the second biggest value? (a) 57 (b) v (c) -4 (d) 3/5 b Let i be (1/(-126))/(-1 + 10/15). What is the biggest value in i, -3, -1/5? i Let l(s) = -s**3 + 9*s**2 - 10*s + 11. Let i be l(8). Let g be i/32 + 1/2. Let h = 1/32 + g. Which is the third biggest value? (a) 4 (b) -4 (c) h b Let h = 11 - 15. Let n = 2.9 - 3.4. Which is the third smallest value? (a) -5 (b) n (c) h b Let u = 0.02 + -4.02. Let w = u - -3. Let n = 5396 - 5401. What is the biggest value in 0.2, w, n? 0.2 Let p = 0.43 - 1.43. Let g = -2 +
{ "pile_set_name": "DM Mathematics" }