or -a*c**2 - 2/5 - c - 1/5*c**w.
-(c + 1)**2*(c + 2)/5
Let a(o) be the first derivative of 10 + 20/3*o**3 + 1/3*o**4 + 500/3*o + 50*o**2. Solve a(w) = 0 for w.
-5
Let y(l) be the first derivative of -10 + 0*l**3 + 4*l - 1/25*l**6 + 0*l**2 - 1/10*l**5 + 1/15*l**4. Let v(q) be the first derivative of y(q). Factor v(m).
-2*m**2*(m + 2)*(3*m - 1)/5
Let w = -8582 - -42404/5. Let p = w - -102. Determine b, given that -7/5*b**3 + 7/5*b + 2/5 - 6/5*b**4 + p*b**2 = 0.
-1, -2/3, -1/2, 1
Suppose 31 = -3*n + 2*p - 3*p, 5*n = p - 49. Let z = n + 18. Factor 6*r**3 - z*r**3 - r**3 - 3*r - 6*r**2.
-3*r*(r + 1)**2
Factor 14 + 5*h**2 + 48*h - 26*h + 6 - 47*h.
5*(h - 4)*(h - 1)
Suppose 4*r - 5*b = 2 + 5, 2*r = -b + 7. Let a(m) be the second derivative of -1/6*m**4 - 7*m + 1/3*m**r + 0*m**2 + 0. Factor a(q).
-2*q*(q - 1)
Let b(s) be the first derivative of 2*s**6/3 - 32*s**5/5 + 24*s**4 - 136*s**3/3 + 46*s**2 - 24*s + 204. Factor b(z).
4*(z - 3)*(z - 2)*(z - 1)**3
Let s = -29 - -36. Let w be (4/s)/(14/49). Find c, given that 1/2*c**w + 2 - 2*c = 0.
2
Let r(d) = -6*d**3 + 72*d**2 + 159*d + 78. Let f(k) = 11*k**3 - 144*k**2 - 316*k - 156. Let i(h) = 3*f(h) + 5*r(h). Let i(l) = 0. Calculate l.
-1, 26
Determine i, given that 2/23*i**4 - 4/23*i**2 + 18/23 + 8/23*i**3 - 24/23*i = 0.
-3, 1
Suppose -7*z - 14 = 3*h - 3*z, -h - z - 3 = 0. Let j(p) be the second derivative of 1/6*p**3 - 1/20*p**5 - h*p**2 - 8*p + 0 + 1/3*p**4. Factor j(u).
-(u - 4)*(u - 1)*(u + 1)
Determine k, given that 8/5*k**2 - 20*k**4 + 92/5*k**3 + 0*k + 0 = 0.
-2/25, 0, 1
Let i(n) be the first derivative of -1/12*n**2 + 27 - 1/30*n**5 + 1/18*n**3 + 0*n + 1/24*n**4. Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let r(l) be the first derivative of l**6/2340 + l**5/780 + 4*l**3/3 + 6. Let h(q) be the third derivative of r(q). Let h(v) = 0. What is v?
-1, 0
Let k(m) = -m**3 + 8*m**2 - 9*m + 16. Let z be 1/(4 + (-54)/14). Let i be k(z). Solve 3*a**i - 4*a + 2*a + 5*a = 0 for a.
-1, 0
Let f(d) be the third derivative of d**5/120 + d**4/9 + 5*d**3/36 - 2*d**2. Suppose f(h) = 0. What is h?
-5, -1/3
Suppose -19*j + 14*j + 4*d = 1, -2*d + 11 = j. Solve 0*o - 4/9*o**2 + 0 - 8/9*o**4 + 2/9*o**5 + 10/9*o**j = 0.
0, 1, 2
Let v = 1586 + -36476/23. Solve -14/23*w**2 + 30/23*w - 18/23 + v*w**3 = 0 for w.
1, 3
Let p(m) be the second derivative of -7*m**4/78 + 439*m**3/39 + 126*m**2/13 + m - 65. Factor p(h).
-2*(h - 63)*(7*h + 2)/13
Suppose 5*u - 84 = u. Let s(p) = 10*p**2 + p - 9. Let g(c) = 3*c**2 - 3. Let d(h) = u*g(h) - 6*s(h). Factor d(l).
3*(l - 3)*(l + 1)
Let j(z) = -2*z**4 - 2*z**3 - 20*z**2 - 12*z + 52. Let f(w) = w**4 + w**3 + w - 1. Let p(d) = 4*f(d) + j(d). Factor p(x).
2*(x - 2)**2*(x + 2)*(x + 3)
Let u(h) be the first derivative of 2 - 13*h - 7*h**3 - 1 + 3*h**3 - 3*h - 26*h**2. Find z, given that u(z) = 0.
-4, -1/3
Suppose -4*d - a - 42 = -79, -4*a = 3*d - 31. Let x(o) be the second derivative of 0 - 1/18*o**4 + 0*o**3 + d*o + 1/3*o**2. Factor x(g).
-2*(g - 1)*(g + 1)/3
Let a = -54 + 49. Let o(j) = -68*j**2 - 78*j - 10. Let y(c) = 135*c**2 + 155*c + 20. Let s(g) = a*o(g) - 3*y(g). Factor s(h).
-5*(h + 1)*(13*h + 2)
Suppose 4*l = l + 3*m, 3*l - 2*m = 0. Let y be 4/1 - (-56)/(-21). Suppose -y*d + l - 4/3*d**3 + 8/3*d**2 = 0. Calculate d.
0, 1
Let v be 326/(-489) - (-64)/42. What is w in -v*w**2 - 22/7*w + 8/7 = 0?
-4, 1/3
Let t(x) = -275*x**2 + x + 2. Let q be t(1). Let w = q - -1912/7. Determine n, given that -w + 24/7*n - 18/7*n**2 = 0.
2/3
Let f(r) = 3*r - 81. Let t be f(29). Let 2*w**5 - 21*w**4 + 24*w + 42*w**3 - t*w**2 + w**5 + 27 - 28*w - 41*w = 0. What is w?
-1, 1, 3
Suppose 40 = i - 8. Find a, given that 8*a**3 - a**3 - 10*a**3 - i*a + 24*a**2 = 0.
0, 4
Let q(y) = -16*y**4 - 28*y**3 - 17*y**2 + 28*y + 26. Let t(x) = -7*x**4 - 14*x**3 - 9*x**2 + 14*x + 13. Let f(g) = 6*q(g) - 14*t(g). Let f(l) = 0. What is l?
-13, -1, 1
Let b(q) be the first derivative of -3*q**4 + 0*q - 4/5*q**5 - 4*q**3 - 2*q**2 + 20. Factor b(g).
-4*g*(g + 1)**3
Factor -15/7*j - 3/7*j**2 + 72/7.
-3*(j - 3)*(j + 8)/7
Let a = -11 + 8. Let i(t) = -2*t**3 - t**2 + 2*t + 1. Let o = 179 + -182. Let f(y) = y**3 - 1. Let g(x) = a*f(x) + o*i(x). Suppose g(l) = 0. Calculate l.
-2, 0, 1
Let x be ((-3)/21)/(8118/(-2702) + 3). Let t = -32 + x. Factor -1/3*u**2 + 0 + t*u**3 + 1/6*u.
u*(u - 1)**2/6
Suppose -3*t + 5*h = -2*t - 30, 5*h = -25. Let d be (-2)/(-10) - (-24)/t. Determine j, given that 2*j**3 + d*j + 2 + 5*j + 8*j**2 + 2 = 0.
-2, -1
Let h = -1151 + 1153. Let x = -319 + 2875/9. What is k in x - 2/9*k**h + 2/9*k = 0?
-1, 2
Let f(t) be the third derivative of t**7/140 - t**6/40 - t**5/5 + 9*t**4/8 - 9*t**3/4 + t**2 - 149. Factor f(z).
3*(z - 3)*(z - 1)**2*(z + 3)/2
Suppose 108*r = 102*r - 798. Let a be (-2)/(-16) - r/88. Determine y so that -2/11*y**2 - a - 12/11*y = 0.
-3
Let c(s) be the first derivative of 2/33*s**3 - 11 + 4/11*s**2 + 6/11*s. Determine i, given that c(i) = 0.
-3, -1
Find a such that 59/2*a - 1/4*a**2 - 3481/4 = 0.
59
Suppose 2*d**4 - 7*d**3 + 15*d**3 - 10*d**2 - 18*d**2 + 17*d**3 - 12*d - 3*d**5 = 0. What is d?
-3, -1/3, 0, 2
Let w(d) = 5*d**3 + 42*d**2 + 4*d - 45. Let t(c) = -22*c**3 - 169*c**2 - 17*c + 182. Let g(q) = -6*t(q) - 26*w(q). What is p in g(p) = 0?
-1, 1, 39
Let u be 18/(-171) - (-1364)/(-38). Let n = u + 38. Factor j - 1 - 1/4*j**4 + 3/4*j**n - 1/2*j**3.
-(j - 1)**2*(j + 2)**2/4
Let d = 28874/5 - 5774. Factor 2/5*v**2 - d*v - 6/5.
2*(v - 3)*(v + 1)/5
Suppose -2*c = 2*u - 22, -u - 3 = -c - 10. Factor -3/5*o**c + 0*o - 3/5*o**3 + 0.
-3*o**2*(o + 1)/5
Let q be (-1)/(30/156) - (-3 + -3). What is h in 0*h - 4/5*h**2 + q = 0?
-1, 1
Suppose 5*f + 1 - 3 = -2*u, 2*f = u - 1. Factor -1/3*z**3 + 4/3*z + f - z**2.
-z*(z - 1)*(z + 4)/3
Suppose -h - 2 = h. Let m be h - (-2 + (-3 - -2)). Let 2 + 8*i**3 - 4*i**4 + 6*i**m + 8*i + 6*i**4 + 6*i**2 + 0 = 0. What is i?
-1
Let u(h) = h**2 - 32*h - 320. Let l be u(40). Let l + 2/3*t**2 - 8/3*t = 0. Calculate t.
0, 4
Let 9 + 5*l**4 - 5*l**2 - 25*l**3 - 29 + 1726*l + 5*l**5 - 1686*l = 0. Calculate l.
-2, 1
Let k = -20093/2 - -10049. Factor -3/4*i**4 + k*i**3 - 1/4*i**5 - 1/2*i**2 + 5/4 - 9/4*i.
-(i - 1)**3*(i + 1)*(i + 5)/4
Let d(c) be the first derivative of -c**4/22 - 32*c**3/33 + 35*c**2/11 - 36*c/11 + 359. Factor d(q).
-2*(q - 1)**2*(q + 18)/11
Let n(t) be the second derivative of -t**5/170 + t**4/51 - 437*t - 2. Factor n(i).
-2*i**2*(i - 2)/17
Let q(p) = -p**3 + p**2. Let x be (2 - 2) + 6 - 2. Let b(n) = 2*n**3 - 10*n**2 - 4*n. Let k(h) = x*q(h) - 4*b(h). Factor k(y).
-4*y*(y - 4)*(3*y + 1)
Let i = -365 + 371. Let p(u) be the third derivative of 0*u**5 - 1/120*u**i + 0*u**4 + 0*u + 0*u**3 + 0 + 1/336*u**8 + 2*u**2 + 0*u**7. Factor p(q).
q**3*(q - 1)*(q + 1)
Let t(g) be the third derivative of 1038361*g**5/140 + 1019*g**4/14 + 2*g**3/7 + 822*g**2. Factor t(x).
3*(1019*x + 2)**2/7
Let p be (-32)/(5 - 1) + 4. Let o(g) = 2 - 5*g**2 - 1 - 4 + 13*g. Let r(s) = -3*s**2 + 7*s - 2. Let y(b) = p*o(b) + 7*r(b). Factor y(c).
-(c + 1)*(c + 2)
Suppose -60*i**3 + 63*i**2 + 10 + 0*i**4 - 10 - 5*i**4 + 2*i**4 = 0. What is i?
-21, 0, 1
Let n be (16*(-2)/(-4) + -5)/6. Let c be (-1)/6 + (-4)/(-6). Factor 0 - n*p**5 - c*p**3 + p**4 + 0*p + 0*p**2.
-p**3*(p - 1)**2/2
Determine z, given that -1249*z**2 - 5*z**3 + 0*z**3 + 4*z - 8 + 1257*z**2 + z**3 = 0.
-1, 1, 2
Let y(j) be the second derivative of -j**5/200 - j**4/6 + 7*j**3/20 - 237*j. Solve y(a) = 0.
-21, 0, 1
Suppose -29*y + 25*y + 14 = -w, 3*w - 5*y = -14. Factor 4/11 + 10/11*m + 2/11*m**3 + 8/11*m**w.
2*(m + 1)**2*(m + 2)/11
Let f(v) be the third derivative of -v**7/15 + 2*v**6/3 - 23*v**5/30 - 5*v**4/6 - 15*v**2 - 8. Factor f(l).
-2*l*(l - 5)*(l - 1)*(7*l + 2)
Suppose -5*x + 20 = 0, -2*o - x + 22 = 3*x. Factor -26*q + 11*q + q**5 - 5*q**3 + 16*q + 3*q**o.
q*(q - 1)**2*(q + 1)**2
Let z(k) be the second derivative of -4*k**7/21 - 8*k**6/5 - 49*k**5/10 - 15*k**4/2 - 19*k**3/3 - 3*k**2 - 30*k - 1. Find h such that z(h) = 0.
-3, -1, -1/2
Suppose 23*d - 22881 = -22812. Factor 3/4*j**2 + 1/4*j**d + 5/4 - 9/4*j.
(j - 1)**2*(j + 5)/4
Let i(r) be the second derivative of 3/95*r**6 + 0*r**2 + 0 + 5/114*r**4 - 11*r - 8/95*r**5 + 2/57*r**3. Factor i(o).
2*o*(o - 1)**2*(9*o + 2)/19
Let k(o) be the first derivative of -o**3/6 - o**2 - 3*o/2 + 101. Factor k(