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Let x(z) be the first derivative of -z**6/48 - z**5/40 + 5*z**4/16 - z**3/3 + 4447. Determine v, given that x(v) = 0.
-4, 0, 1, 2
Suppose -9*y + 5*y - p = -47, 0 = -3*y - 4*p + 32. Let t(x) = -6*x + 74. Let f be t(y). Let k + 1/2 + 1/2*k**f = 0. What is k?
-1
Let u(k) be the second derivative of -k**6/15 + 103*k**5/10 - 101*k**4/3 + 1354*k. Factor u(g).
-2*g**2*(g - 101)*(g - 2)
Let r be (25 - -9)*8/20 - (39 - 39). Suppose -578/5 - 2/5*c**2 - r*c = 0. What is c?
-17
Suppose 0 = 4*w + 5*r + 15, -3*w + 8*r - 9 = 11*r. Let g be w*-6*10/(-60). Let g - 1/2*u**5 + 0*u**2 - 3/2*u**4 + 0*u**3 + 0*u = 0. What is u?
-3, 0
Let s = -152135 + 608545/4. Factor 3*j**2 - 3/2 - s*j**3 + 11/4*j.
-(j - 3)*(j + 1)*(5*j - 2)/4
Find s, given that 547724 + 4*s - s**2 + s - 547574 = 0.
-10, 15
Let l be (121344/(-474))/(10/(-27)). Factor l*f + 2/5*f**3 - 144/5*f**2 - 27648/5.
2*(f - 24)**3/5
Let d(v) = -21*v + 2*v**2 + 9*v + 4*v - 2*v - 15. Let l(u) = -10*u**2 + 52*u + 76. Let s(f) = -28*d(f) - 6*l(f). Determine q, given that s(q) = 0.
-1, 9
Let g(n) = -3*n**3 + 15*n**2 + 27*n - 108. Let h(b) = -b**2 + 2*b. Suppose 8 - 5 = 3*m. Let o(p) = m*g(p) + 9*h(p). Factor o(z).
-3*(z - 3)**2*(z + 4)
Solve -435*c + 459*c + 426733 - 1248*c - 52189 + c**2 = 0.
612
Let x = 1282/21 - 278/7. Let g(u) be the second derivative of -24*u**2 - u**5 - 9*u**4 - 36*u + 2/5*u**6 + 2/21*u**7 + 0 - x*u**3. Determine q so that g(q) = 0.
-2, -1, 3
Let n(i) be the first derivative of -i**4/12 - 2*i**3/3 - 3*i**2/2 - 80*i + 24. Let r(l) be the first derivative of n(l). Suppose r(b) = 0. Calculate b.
-3, -1
Let c(p) be the third derivative of p**6/420 - 29*p**5/15 - 815*p**4/84 - 136*p**3/7 + 4490*p**2. Find j such that c(j) = 0.
-1, 408
Factor 475 - 16*x**3 - 922 + 467 + 16*x + 4*x**4 - 24*x**2.
4*(x - 5)*(x - 1)*(x + 1)**2
Let f(a) be the first derivative of -a**6/18 - 37*a**5/15 + a**4/12 + 37*a**3/9 + 3413. Find p such that f(p) = 0.
-37, -1, 0, 1
Let s(c) = c**2 + 3*c - 38. Suppose -2*j - 8 = 0, -6*j + 3*j = 3*d + 36. Let i be s(d). Determine y, given that -7*y - i*y + 603*y**2 - 606*y**2 = 0.
-3, 0
Let z(p) = -p**2 - 1111*p + 8954. Let m be z(8). Find o, given that -30/7*o - 2/7*o**m + 0 = 0.
-15, 0
Let z(d) = -20*d**2 - 17*d + 47. Let x be z(5). Let s = x - -540. Determine y so that -28/3*y - 28/3*y**s - 8/3 - 8/3*y**3 = 0.
-2, -1, -1/2
Let 591/8*v**3 + 27/2 + 135/8*v - 3*v**5 - 132*v**2 + 123/4*v**4 = 0. What is v?
-3, -1/4, 1/2, 1, 12
Let s(j) be the second derivative of -j**7/504 + j**6/18 - 5*j**5/8 - 143*j**4/12 - j + 49. Let y(i) be the third derivative of s(i). Factor y(c).
-5*(c - 5)*(c - 3)
Suppose 192 = 4*y - 3*j, 144 = 3*y + 605*j - 601*j. Factor -864*v**2 - y*v - 2/3.
-2*(36*v + 1)**2/3
Let p(d) be the second derivative of -88*d - 3/35*d**7 - 71/10*d**5 - 144/5*d**3 + 108/5*d**2 + 0 + 31/25*d**6 + 201/10*d**4. What is y in p(y) = 0?
2/3, 3
Let s(w) = -7*w**2 - 281*w - 568. Let n be s(-38). Let j be -2 - ((-34)/10 - -1). What is p in j - p - 1/5*p**3 + 4/5*p**n = 0?
1, 2
Let n = -742130 + 742134. Suppose -40/7 + 24/7*j**2 - n*j = 0. What is j?
-5/6, 2
Find b, given that -3/5*b**3 + 12/5*b - 72/5 + 18/5*b**2 = 0.
-2, 2, 6
Let r(n) be the second derivative of -n**7/273 + 16*n**6/195 - 6*n**5/65 - 128*n**4/39 + 448*n**3/39 + 11210*n. Suppose r(s) = 0. What is s?
-4, 0, 2, 4, 14
Let i(s) be the second derivative of -5/2*s**3 - 91*s + 0 + 11/48*s**4 - 25/2*s**2 + 3/40*s**5 - 1/120*s**6. Factor i(w).
-(w - 5)**2*(w + 2)**2/4
Let t = -2020/3 - -674. Let y(d) be the first derivative of -3*d**4 - 4*d**2 - 20/3*d**3 + t*d**6 + 4/5*d**5 + 28 + 0*d. Factor y(j).
4*j*(j - 2)*(j + 1)**3
Let v(r) = 8*r**3 - 231*r**2 + 2643*r - 2423. Let o(u) = 25*u**3 - 695*u**2 + 7930*u - 7270. Let k(b) = -3*o(b) + 10*v(b). Solve k(j) = 0.
1, 22
Let n(f) be the first derivative of f**5/10 - 3*f**4/8 + f**3/3 - 1751. Find d, given that n(d) = 0.
0, 1, 2
Let z be 3*7/(-42) - (-202)/(-4). Let s(k) = k**3 + 52*k**2 + 51*k + 6. Let i be s(z). Determine o, given that -2 - i*o - 1/2*o**4 - 3*o**3 - 13/2*o**2 = 0.
-2, -1
Factor -16 + g**3 - 198*g**2 + 26 - 121*g + 3 + 236*g**2 + 69.
(g - 2)*(g - 1)*(g + 41)
Find f, given that -12288/5*f - 384/5*f**2 - 3/5*f**3 + 0 = 0.
-64, 0
Let p = 87617/5310 + -1/2655. Determine i so that -3/2*i**4 + 6 - p*i - 3/2*i**3 + 27/2*i**2 = 0.
-4, 1
Let f(n) = -26*n**2 - 206*n + 250. Let c(p) = -12*p**2 - 104*p + 124. Let w(x) = -9*c(x) + 4*f(x). Factor w(d).
4*(d - 1)*(d + 29)
Suppose 263 = -85*s + 2898. Let u(i) be the first derivative of s - 1/9*i**3 - 2/3*i**2 - 4/3*i. Find k, given that u(k) = 0.
-2
Suppose -6*x = -x - 10. Let a be 45/((x + -5)/(-9)). Let -18*d**4 - 95*d**3 + 41*d - 18 - 194*d**2 - 14 - 37*d**3 + a*d = 0. What is d?
-4, 1/3
Suppose -12 = -k + 2*z, 3*z = -2*k - 4 - 0. Let y = -26 + 30. Factor 4*g**3 - 4*g**5 - 3*g**2 + 0*g**2 + k*g**y - g**2.
-4*g**2*(g - 1)**2*(g + 1)
Let x(g) be the second derivative of 9*g**7/91 - g**6/65 - 29*g**5/130 + g**4/26 + 2*g**3/39 - 655*g. Determine c, given that x(c) = 0.
-1, -2/9, 0, 1/3, 1
Let f(c) be the third derivative of 1/8*c**6 + 5/2*c**3 + 6*c + 13/12*c**5 + 0 + 65/24*c**4 - 4*c**2. Factor f(i).
5*(i + 1)*(i + 3)*(3*i + 1)
Suppose 3*s + s - 8 = 0. Let b = 8120 + -89319/11. Determine d so that -b*d**4 + 0 - 2/11*d**3 + 1/11*d**s + 2/11*d = 0.
-2, -1, 0, 1
Let k = -16528 - -16530. Factor -18/7*c**3 - 176/7*c + 150/7*c**k + 8.
-2*(c - 7)*(3*c - 2)**2/7
Find c, given that -1410*c**3 - 11*c**5 - 19*c**5 + 155*c**4 - 1960*c + 25*c**5 + 3220*c**2 = 0.
0, 1, 2, 14
Let u = 28880 + -86626/3. Determine f so that -u + 2/3*f**2 - 4*f = 0.
-1, 7
Suppose 0 = 25*n - 22*n - 3. Let c be (4 + -3)*(6 + -4 + n). Factor 0*s**c - 4*s**3 - 5*s**4 - s**3.
-5*s**3*(s + 1)
Let x = 0 - 37. Let h = x - -40. Factor 10*z**2 - h*z - 5*z**3 - z - z.
-5*z*(z - 1)**2
Let o(v) be the first derivative of 10/3*v**3 - 30 + 5/4*v**4 - 65/2*v**2 + 50*v. Factor o(r).
5*(r - 2)*(r - 1)*(r + 5)
Let m = -2495 - -2498. Let b(j) be the first derivative of 18*j**2 - 16 - 27/2*j - 11*j**m + 3*j**4 - 3/10*j**5. Suppose b(a) = 0. Calculate a.
1, 3
Let w = -5987 + 5987. Let s(n) be the third derivative of 2/15*n**7 - 3/5*n**5 + w*n + 1/6*n**6 + 4/3*n**3 - 5/6*n**4 + 0 - 4*n**2. Find c such that s(c) = 0.
-1, 2/7, 1
Factor -972*n**2 + 10*n**4 + 2671*n**3 + 192*n**2 - 256 - 14*n**4 - 2939*n**3 - 772*n.
-4*(n + 1)**3*(n + 64)
Let w(f) be the first derivative of 24*f - 15 + 1/12*f**4 + 0*f**2 - 1/6*f**3. Let t(a) be the first derivative of w(a). Let t(p) = 0. Calculate p.
0, 1
Let r(o) = 49*o**4 + 48*o**3 - 193*o**2 + 114*o. Let z(w) = 110*w**4 + 108*w**3 - 434*w**2 + 256*w. Let j(l) = 20*r(l) - 9*z(l). Factor j(m).
-2*m*(m - 1)*(m + 3)*(5*m - 4)
Let b(c) be the first derivative of -2/33*c**3 - 103 + 7/11*c**2 - 20/11*c. What is u in b(u) = 0?
2, 5
Let g be (8/(-6))/(-4*(-1)/(-6)). Factor 16*x - 42*x - x**g + 18*x - x**2 - 8.
-2*(x + 2)**2
Let j be 6/10 - 17973/(-45). Find p such that 556*p**2 - j - 1110*p**2 + 80*p + 550*p**2 = 0.
10
Let f(u) be the first derivative of u**4/3 + 20*u**3/3 + 18*u**2 + 99*u - 23. Let p(j) be the first derivative of f(j). Suppose p(b) = 0. What is b?
-9, -1
Let 33/2*q - 78 + 3/4*q**2 = 0. Calculate q.
-26, 4
Let j be 4/8*0*31/93. Let l(v) be the second derivative of 9*v + 16/3*v**3 + 64*v**2 + j + 1/6*v**4. Factor l(y).
2*(y + 8)**2
Let t = 26 + 4. Let d = t - 25. Find a, given that 8 - a**2 + 52*a - 20*a**2 - 24*a + d*a**2 = 0.
-1/4, 2
Let t(k) be the third derivative of -4/39*k**4 - 14/65*k**5 + 0*k - 2 + 0*k**3 - 5/273*k**7 - 2/13*k**6 - 13*k**2. Factor t(h).
-2*h*(h + 4)*(5*h + 2)**2/13
Suppose 6*f = -359 - 127. Let z be (6/36)/((-12)/f). Solve 0*n + 0 - z*n**2 + 3/8*n**3 = 0.
0, 3
Suppose 0 = -5*m + 9*m - 20. Find z such that -3*z**5 + 4*z**2 + 16*z**3 + 20*z**4 + 6*z**5 - 2*z**5 + 7*z**m = 0.
-1, -1/2, 0
Let r be (-9)/((-36)/8)*(-34 + 7409/217). Determine p, given that 68/7 - r*p**2 - 66/7*p = 0.
-34, 1
Let z(q) be the third derivative of 2*q**7/45 - 1009*q**6/270 + 1033*q**5/135 + 49*q**4/54 - 188*q**3/27 - 874*q**2. Determine k so that z(k) = 0.
-2/7, 1/3, 1, 47
Suppose -5244/7*m - 3437442/7 - 2/7*m**2 = 0. Calculate m.
-1311
Suppose -21*x - 2*z + 30 = -17*x, x + 5*z = -6. Suppose 322 = -x*u + 340. Solve 1/3*y**u + 7/3 - 8/3*y = 0.
1, 7
Let 