3*g**2/4
Let n(i) be the third derivative of -i**9/60480 - i**8/5040 - i**7/1260 + i**5/4 + i**4/8 - i**2 - 58. Let y(l) be the third derivative of n(l). Solve y(b) = 0.
-2, 0
Let g(r) = -2*r**2 - 19*r - 30. Let q(l) = -36 - 367*l - 2*l**2 - 393*l + 742*l. Let s(y) = 6*g(y) - 5*q(y). Factor s(x).
-2*x*(x + 12)
Let d(r) = 2*r**2 + 178*r - 3848. Let p be d(18). Find l, given that -p*l**2 - 1/5*l**4 + 9/5*l**3 + 12/5*l + 0 = 0.
0, 1, 2, 6
Let k be 158/18 + (-12)/(-54). Let o be 6 - 1 - (k - 7). What is d in -6*d**5 - 3/2*d**4 + 0 + 3/2*d**2 + 6*d**o + 0*d = 0?
-1, -1/4, 0, 1
Let l be (1 + -3)*(-16)/8*(-6)/(-4). Let p(z) be the third derivative of 0*z - 1/3*z**3 - 1/120*z**l + 0 + 0*z**5 + 1/8*z**4 + 3*z**2. Factor p(r).
-(r - 1)**2*(r + 2)
Let l(m) = 9*m**3 + 9*m**2 + 779*m - 841. Let s(k) = -11*k**3 + 3*k**2 - 778*k + 841. Let p(o) = 5*l(o) + 4*s(o). Factor p(r).
(r - 1)*(r + 29)**2
Let r(k) = -38*k**2 - 2434*k - 2406. Let q(b) = -11*b**2 - 811*b - 803. Let y(t) = -10*q(t) + 3*r(t). Suppose y(u) = 0. Calculate u.
-1, 203
Let w(x) be the third derivative of x**6/120 - x**5/3 + 101*x**4/24 - 65*x**3/3 - 4610*x**2. Factor w(l).
(l - 13)*(l - 5)*(l - 2)
Find s, given that -320/3 - 32*s**2 + 2/3*s**3 + 2/3*s**4 - 344/3*s = 0.
-5, -2, 8
Let a(j) be the first derivative of -10 - j**3 - j**2 + 0*j - 1/4*j**4. Factor a(d).
-d*(d + 1)*(d + 2)
Let h(i) = i**3 - 12*i**2 + 76*i - 347. Let f be h(8). Let -290/3*s**2 - 80*s - 24 - 2/3*s**f - 50*s**3 - 10*s**4 = 0. Calculate s.
-6, -1
Let o = -210634/7 + 30091. Let -4/7*g**3 + o*g**2 + 0*g + 0 + 1/7*g**4 = 0. What is g?
0, 1, 3
Let b = 25/1923 + 1540223/7692. Let i = -199 + b. Factor 1/4*n**2 - i*n + 3/4 + 1/4*n**3.
(n - 1)**2*(n + 3)/4
Find z, given that -465 + 15/2*z**2 - 1385/2*z = 0.
-2/3, 93
Let h = 234303 + -702857/3. Factor 16/3 + 32/3*i**2 - h*i - 5/3*i**3.
-(i - 4)*(i - 2)*(5*i - 2)/3
Let d(k) be the first derivative of k**5/20 - k**4/3 + k**3/2 + 82*k - 58. Let y(j) be the first derivative of d(j). Factor y(i).
i*(i - 3)*(i - 1)
Let z(t) be the first derivative of -5*t**4/4 + 80*t**3 + 2775*t**2/2 + 7250*t - 241. Suppose z(f) = 0. What is f?
-5, 58
Suppose -2*g - 23 = -71. Suppose g = 2*q - 16. Factor q - 2*z**2 - 13 - 9 - 4*z.
-2*(z + 1)**2
Let j(q) = 3*q**2 - 152*q - 175. Let y(k) = -2*k + 8. Let r(o) = -j(o) - 2*y(o). Factor r(v).
-3*(v - 53)*(v + 1)
Let k(w) be the first derivative of -5*w**4/4 + 349*w**3/9 - 89*w**2/6 - 23*w + 3429. Let k(a) = 0. Calculate a.
-1/3, 3/5, 23
Let i(m) be the first derivative of m**4/14 - 16*m**3/7 - 187*m**2/7 + 60*m - 354. Determine u so that i(u) = 0.
-7, 1, 30
Suppose -11*o + 1306 - 6168 = 0. Let n = -3084/7 - o. Factor 1/7*j**2 - n*j + 25/7.
(j - 5)**2/7
Let x(f) = 85*f**3 + 3848*f**2 + 16500*f + 4377. Let z(w) = -8*w**3 - 350*w**2 - 1500*w - 398. Let k(c) = 2*x(c) + 23*z(c). Let k(h) = 0. Calculate h.
-20, -5, -2/7
Suppose v = -2*p - 2*p - 14, 17 = 2*v - p. Let u be 108/45 + v/(-5). Let 6/5*k**2 - u + 0*k = 0. What is k?
-1, 1
Let n(b) be the third derivative of 2*b**7/735 - 19*b**6/70 + 998*b**5/105 - 112*b**4 - 3840*b**3/7 - 6347*b**2. Determine f, given that n(f) = 0.
-1, 10, 24
Let x(m) = 369*m + 373. Let l be x(-1). Let q(w) be the second derivative of 36/7*w**2 + 7/6*w**l + 0 - 31*w - 4*w**3. Find z, given that q(z) = 0.
6/7
Suppose -61 = -3*o - 2*r, 5*o - 3*r = 47 + 42. Suppose -5*a + o = 9. Let -5/4*u - 3/2 + 1/4*u**a = 0. What is u?
-1, 6
Suppose -20*a + 7997 = 797. Let z be -8 + a/16 + 8. Solve -12*t**4 - 24*t + 3/2*t**5 + 12*t**2 + 0 + z*t**3 = 0.
-1, 0, 1, 4
Let w(i) be the second derivative of i**4/60 - 23*i**3/15 + 1670*i + 1. Solve w(q) = 0 for q.
0, 46
Let z(a) = 4*a**3 - 82*a**2 + 201*a - 5099. Let o be z(21). What is m in 1/4*m**5 + 0*m**o + 9/4*m + 0 + 0*m**2 - 5/2*m**3 = 0?
-3, -1, 0, 1, 3
Factor -2965254*k - 1389715708 - 2109*k**2 - 1/2*k**3.
-(k + 1406)**3/2
Let t be (-69)/874*(-136)/51. Solve 0 - 2/19*d**5 + 0*d**4 + 0*d - t*d**2 + 6/19*d**3 = 0 for d.
-2, 0, 1
Suppose -17*p - p = -54. Let g(j) = 3*j**2 - 71*j + 68. Let l(d) = -2*d**2 + 69*d - 67. Let m(b) = p*g(b) + 2*l(b). Factor m(k).
5*(k - 14)*(k - 1)
Let f(p) be the third derivative of 11*p**6/8 - 115*p**5/3 + 2045*p**4/24 - 65*p**3 + 120*p**2 + 10*p. Solve f(u) = 0.
3/11, 2/3, 13
What is c in 55/2*c**2 - 1/4 - 109/4*c = 0?
-1/110, 1
Let f = -69 + 1. Let i = f - -70. Find z, given that 0*z + 0 + 3/2*z**i + 3/2*z**3 - 3/2*z**4 - 3/2*z**5 = 0.
-1, 0, 1
Factor 2/9*n**2 + 2553800/9 + 4520/9*n.
2*(n + 1130)**2/9
Let l = 141249 + -141249. Factor 0*j**3 - 3/7*j**4 + 0*j + l + 3/7*j**2.
-3*j**2*(j - 1)*(j + 1)/7
Let g(b) be the first derivative of b**4/30 - 4*b**3/5 + 36*b**2/5 + 60*b + 32. Let q(s) be the first derivative of g(s). Factor q(z).
2*(z - 6)**2/5
Let q = -85799 + 343277/4. Factor 1/4*w**5 + 4*w**3 + 27/2 - q*w + 9/2*w**2 - 2*w**4.
(w - 3)**3*(w - 1)*(w + 2)/4
Suppose 227*i + 806155 = 806609. Factor 28/9*g**i - 1/3*g**3 + 0 + 20/9*g.
-g*(g - 10)*(3*g + 2)/9
Let c = 1005772/3 + -335240. Suppose 338 + 2/9*w**2 + c*w = 0. What is w?
-39
Let j(m) be the third derivative of m**7/210 - 43*m**6/40 + 189*m**5/2 - 7497*m**4/2 + 37044*m**3 - 1993*m**2 - 2*m. Factor j(k).
(k - 42)**3*(k - 3)
Let x(z) be the second derivative of -z**5/10 - 7*z**4 - 195*z**3 - 2704*z**2 + 282*z. Determine d, given that x(d) = 0.
-16, -13
Let d be -31*(-728)/8463*(-3)/(-2). Suppose -44/9*m**2 + 22/9*m**3 + 16 - 40/3*m - 2/9*m**d = 0. What is m?
-2, 1, 6
Factor -12*z - 6*z**2 + 0 - 2/3*z**3.
-2*z*(z + 3)*(z + 6)/3
Let x(o) = 2*o**2 - 34*o + 6. Let b be x(17). Factor 5*k - b - 1 - 8 - 17*k + k**2 + 2.
(k - 13)*(k + 1)
Let z be (3080/242)/(2/11). Let r be 6/14 + -10 + 2602/z. Solve -r*u**3 - 15*u - 3/5*u**5 + 36*u**2 + 36/5*u**4 + 0 = 0 for u.
0, 1, 5
Let d(w) = -3*w**2 + 3*w + 105. Let m be d(6). Let i(a) be the first derivative of 0*a**3 + 0*a**2 - 6/65*a**5 + 0*a + 1/39*a**6 + 1/13*a**4 - m. Factor i(v).
2*v**3*(v - 2)*(v - 1)/13
Let d be (2 + 8/(-4))/3. Let z(s) = -2*s**3 + 3*s**2 + 67*s - 125. Let y be z(2). Solve d*n + 4/7*n**4 + 0 - 4/7*n**2 - 2/7*n**y + 2/7*n**3 = 0 for n.
-1, 0, 1, 2
Let g(s) = 14*s - 389. Let a be 5 - 2 - 6 - -31. Let b be g(a). Suppose -4/3*c**b + 0*c**2 + 0 + 4/3*c = 0. What is c?
-1, 0, 1
Factor -600 + 2408*f - 350*f**2 + 14*f**3 - 128*f**2 - 604*f**2.
2*(f - 75)*(f - 2)*(7*f - 2)
Let j be (-9)/270*(1 + -5). Suppose -166*o + 186*o = 40. Factor 0 - 2/5*t + j*t**o.
2*t*(t - 3)/15
Let q = 893 + -890. Let j(o) be the second derivative of 0 - o + 1/2*o**4 - 6*o**2 + 7/3*o**q. Factor j(t).
2*(t + 3)*(3*t - 2)
Let r(t) be the third derivative of -t**7/105 + t**6/24 + 7*t**5/60 - 3*t**4/8 - 3*t**3/2 + t**2 + 1918*t. Factor r(u).
-(u - 3)*(u + 1)**2*(2*u - 3)
Let w(t) be the third derivative of -t**5/20 - 21*t**4/4 - 377*t**3/2 - 1260*t**2 + t. Factor w(i).
-3*(i + 13)*(i + 29)
Determine x, given that 11*x**2 - 5*x**2 + 1488 - 8*x**2 + 225*x + 1261*x = 0.
-1, 744
Suppose 27*d + 2*a = 26*d + 10, -10 = -5*a. Factor -8*v + 29*v - 3*v + d + 5*v**2 - 3*v**2 + 10.
2*(v + 1)*(v + 8)
Let z(s) be the third derivative of 0*s**3 + 1/132*s**4 - 48*s**2 - 1/1155*s**7 + 1/330*s**5 + 0*s + 0 - 1/660*s**6. Factor z(o).
-2*o*(o - 1)*(o + 1)**2/11
Let d be -114*(-22)/(6688/8). Solve 90*a**d + 0 - 12*a**2 - 189*a**4 + 147/2*a**5 + 0*a = 0 for a.
0, 2/7, 2
Let w(i) be the first derivative of -i**3/9 + 118*i**2/3 + 476*i/3 + 956. Factor w(o).
-(o - 238)*(o + 2)/3
Determine r, given that -123*r + 687*r**2 + 3*r**5 + 610*r**2 + 207 + 54*r**4 + 120*r**3 - 1531*r**2 - 27 = 0.
-15, -4, -1, 1
Let c(y) = -8*y**3 + 305*y**2 - 31*y - 263. Let d be c(38). Let v = 1 + 1. Factor 5*u**d + 5/3*u**v - 5/3*u**4 + 0 - 5*u.
-5*u*(u - 3)*(u - 1)*(u + 1)/3
Suppose -3*d - 30 = 5*w, -2*w = -5*d + 2 + 10. Let s(m) be the second derivative of -1/48*m**4 + 2*m - 1/12*m**3 + 0 + d*m**2. Factor s(b).
-b*(b + 2)/4
Let j(u) be the first derivative of -u**5/100 + u**4/10 - 25*u**2/2 - 60. Let w(s) be the second derivative of j(s). Determine n, given that w(n) = 0.
0, 4
Let z(k) be the first derivative of k**5/25 + 323*k**4/10 + 103681*k**3/15 - 104652*k**2/5 + 104976*k/5 - 713. Find r such that z(r) = 0.
-324, 1
Let t(v) = v**2 + 484*v - 470. Let c(z) = z**2 + 486*z - 467. Let m(s) = 6*c(s) - 8*t(s). Factor m(o).
-2*(o - 1)*(o + 479)
Le