et n(u) = -3*u + 43. Let y be n(-1). Let m = y + -46. Solve 1/4*b**5 + 0*b + m + 0*b**2 + 1/4*b**3 + 1/2*b**4 = 0.
-1, 0
Let c(z) be the first derivative of -z**3/9 - 331*z**2/3 - 109561*z/3 + 826. Find f, given that c(f) = 0.
-331
Let g = 125 + -122. Suppose 5*s - g*o + 4*o - 1 = 0, -o + 1 = 4*s. Factor -2/7*j + 1/7*j**2 + s.
j*(j - 2)/7
Let l(f) = 6*f**2 - 868*f - 1816. Let z(j) = j**2 - 174*j - 364. Let s(b) = 3*l(b) - 14*z(b). Factor s(a).
4*(a - 44)*(a + 2)
Let z = 10 - -94. Let n = z + -81. Suppose 5*o**3 + n*o**3 + 7*o**4 - 11*o**4 - 24*o**2 = 0. What is o?
0, 1, 6
Factor -80/17 + 2/17*d**3 - 22/17*d**2 + 76/17*d.
2*(d - 5)*(d - 4)*(d - 2)/17
Suppose 1 = -4*v + a + 18, -5*a = -v + 9. Let u(t) be the third derivative of 1/5*t**5 + 4/3*t**v - 17*t**2 + 0 - 2*t**3 + 0*t. Suppose u(c) = 0. Calculate c.
-3, 1/3
Suppose 4*w - 44 = -2*b, 0 = -2*b - 2*w + 3*w + 44. Let c be b*9/168 - 21/49. Factor c*o**2 + 3/4 + 3/2*o.
3*(o + 1)**2/4
Let f(o) be the first derivative of -157 - 26/9*o**4 + 49/27*o**6 + 16/27*o**3 + 28/9*o**5 + 0*o + 0*o**2. Factor f(a).
2*a**2*(a + 2)*(7*a - 2)**2/9
Let y be (0 - 0)*12/(-24). Suppose 44*r - 18*r = y. Factor -3/4*f**2 + 3/2*f + r.
-3*f*(f - 2)/4
Let j(n) be the third derivative of 79*n**5/390 - 19*n**4/39 - n**3/13 - 2*n**2 + 60*n. Factor j(l).
2*(l - 1)*(79*l + 3)/13
Let k be 3388/(-140) - -19 - -10. What is g in -27/5*g - 3/5*g**2 - k = 0?
-8, -1
Let y = -992 + 1148. Let p be (1*-5)/((-130)/y). Factor 3/2*u - p*u**4 - 12*u**5 + 15/2*u**2 + 0 + 9*u**3.
-3*u*(u - 1)*(2*u + 1)**3/2
Let c(g) = 2*g + g**2 - 22 + 3*g + g**2 - g**2. Let k be c(-8). Solve 2*w**2 - 3*w**4 + 8*w**2 + 6*w**3 - w**k = 0 for w.
-1, 0, 3
Suppose 2*u = -c + 9, 0*u + 19 = 4*u + 3*c. Factor 316*x + 2*x**u + 2*x + 20*x**3 + 336*x**2 + 30*x**3 - 30*x.
2*x*(x + 1)*(x + 12)**2
Let a be -1 + 3 + 5 + -55 + 50. Suppose 20*c - 19*c - 1 = -h, -a*h + 14 = 5*c. Suppose -2*t**c + 4*t**3 + 0*t + 1/3*t**5 + 0 - 8/3*t**2 = 0. Calculate t.
0, 2
Let i(u) be the first derivative of u**6/8 - u**5/5 - 13*u**4 - 124*u**3/3 - 30*u**2 + 4081. Suppose i(t) = 0. Calculate t.
-6, -2, -2/3, 0, 10
Let j = 9815 - 9809. Let p(z) be the first derivative of j - 4/9*z - 1/3*z**2 - 2/27*z**3. Solve p(t) = 0 for t.
-2, -1
Suppose -41*y + 24 = -35*y. Find a such that 3*a**y + 3*a + 9*a - 155*a**3 + 146*a**3 = 0.
-1, 0, 2
Let z be (21/(-12) - -2)/((-19)/(-228)). Factor -z*y**2 - 59*y - 77*y + 46*y + 6*y**2 + 87.
3*(y - 29)*(y - 1)
Let y(d) be the third derivative of -20*d**2 - 5/12*d**6 + 5/336*d**8 + 5*d**4 + 0*d + 0 + 0*d**3 + 5/42*d**7 - 5/3*d**5. Let y(u) = 0. What is u?
-6, -2, 0, 1, 2
Let g(q) be the first derivative of -6/25*q**5 + 129/20*q**4 - 261/5*q**3 + 96*q**2 - 60*q - 10. Let g(d) = 0. What is d?
1/2, 1, 10
Let u(l) = 38*l - 14. Let t(c) = -38*c + 15. Let p(i) = -5*t(i) - 6*u(i). Let b be p(-7). Find x, given that -275*x + b*x + 5*x**2 - 5*x**4 = 0.
-1, 0, 1
Let w(z) be the first derivative of -1/24*z**4 - 21*z**2 - 100 - 108*z + 17/9*z**3. Factor w(t).
-(t - 18)**2*(t + 2)/6
Let -8200*s**2 + 22393*s - 67*s**3 - 18278*s - 13*s**3 - 578 + 63 = 0. What is s?
-103, 1/4
Let t = 5599/3360 - -1/3360. Determine j, given that 20/3*j**3 + 8/3*j**4 + 11/2*j**2 + 1/6 + t*j = 0.
-1, -1/4
Let k be 25517/1700 + (-16 - -1). Let y(z) be the second derivative of k*z**5 + 21*z + 7/10*z**3 + 0 + z**2 + 1/5*z**4. Factor y(m).
(m + 1)**2*(m + 10)/5
Let l = 120/929 - -32844/4645. Factor -4/5*h**3 - l*h + 24/5*h**2 + 0.
-4*h*(h - 3)**2/5
Factor -27*q**3 - 42*q - 3*q + 289410*q**2 - 289314*q**2.
-3*q*(q - 3)*(9*q - 5)
Suppose -16/3*t + 2/9 + 10*t**2 - 44/9*t**3 = 0. Calculate t.
1/22, 1
Let y = -5768 - -5768. Find f, given that 21*f**4 - 27/2*f**5 - 4*f**2 + 0 + 14*f**3 + y*f = 0.
-2/3, 0, 2/9, 2
Let r(v) = 3*v**2 - v + 2. Let j(l) = -7*l**2 - 551*l + 550. Let g(m) = j(m) + 2*r(m). Solve g(b) = 0.
-554, 1
Let w(a) be the second derivative of -3/5*a**3 + 0*a**2 - 9 - 2*a - 1/50*a**5 - 1/3*a**4. Determine b, given that w(b) = 0.
-9, -1, 0
Suppose -10*b + 15*b**4 - 14*b**4 + 46*b - 2927*b**3 + 51*b**2 + 2943*b**3 = 0. Calculate b.
-12, -3, -1, 0
Let a(f) be the second derivative of -f**6/180 - 7*f**5/120 + 49*f**4/72 + 55*f**3/36 + 4*f + 13. Determine i, given that a(i) = 0.
-11, -1, 0, 5
Let r(s) be the second derivative of 25*s**4 + 0*s**5 - 1 - 12*s**2 + 5*s + 0*s**3 - 49/20*s**6. Suppose r(o) = 0. Calculate o.
-2, -2/7, 2/7, 2
Let y(l) be the second derivative of 1/6*l**4 + 63*l - 9*l**2 - 8/3*l**3 + 0. Factor y(b).
2*(b - 9)*(b + 1)
Let j be (-77)/1155*225/(-18)*(-16)/(-12). Factor 8/9*u**4 + 0 + j*u**3 + 2/9*u**5 + 4/9*u**2 + 0*u.
2*u**2*(u + 1)**2*(u + 2)/9
Let v = 71 - 19. Suppose 2*q - 3*o - 52 = -3*q, -4*q + 5*o + v = 0. Solve -q + y**3 - 3*y**3 - 2*y**3 + 2*y**2 - 4*y + 5*y**3 = 0.
-2, 2
Factor -85/4 + 213/2*m - 5/4*m**2.
-(m - 85)*(5*m - 1)/4
Let n be 195/(-10)*1/((-27)/(-1044)). Let h = 759 + n. Determine d, given that -7/3*d**4 + 0*d**2 + 1/3*d**3 + 0*d + 2*d**h + 0 = 0.
0, 1/6, 1
Let w be ((-2)/4)/(3/(-30)). Let h be (-3)/w - 161/(-35). Factor -61*c**2 - c**h + 49*c**2 - 10*c**3 - c**4.
-2*c**2*(c + 2)*(c + 3)
Suppose 0 = 5*h + 12392 - 12422. Let z(g) be the first derivative of -1/2*g**2 - 1/18*g**h - 34 + 2/9*g**3 + 1/3*g**4 + 0*g**5 - 2/3*g. Solve z(p) = 0.
-1, 1, 2
Suppose 0 + 9/2*y - 35/4*y**5 - 41/4*y**4 + 157/4*y**3 - 99/4*y**2 = 0. Calculate y.
-3, 0, 2/5, 3/7, 1
Let p(d) be the second derivative of -d**4/6 - 49*d**3/3 + 50*d**2 + 4*d + 115. Determine z so that p(z) = 0.
-50, 1
Let a(b) = 8*b**2 - 22*b - 160. Let l(f) = -f**2 - 2*f + 16. Let v(n) = a(n) + 10*l(n). Factor v(w).
-2*w*(w + 21)
Let v(c) be the third derivative of c**6/360 - c**5/12 + 7*c**4/8 - 49*c**3/18 - 50*c**2 + 4*c. Factor v(a).
(a - 7)**2*(a - 1)/3
Let b be 30/8 - (1 - 20/16). Let v(y) = -2*y**2 - 101*y + 683. Let r be v(6). Suppose -2*g**2 + 3*g**3 + 0 - 2*g**b + 1/2*g + 1/2*g**r = 0. What is g?
0, 1
Let n = 6801 + -6801. Let c(d) be the third derivative of 0*d - 1/1200*d**6 + 0*d**5 - 1/2100*d**7 + 18*d**2 + n + 0*d**4 + 0*d**3. Solve c(b) = 0 for b.
-1, 0
Let j(n) be the third derivative of 0*n + 7/12*n**4 - 36*n**2 + 11/60*n**5 + 0 + 0*n**3. Let t(f) = -23*f**2 - 27*f. Let b(v) = 13*j(v) + 6*t(v). Factor b(c).
5*c*(c + 4)
Suppose 7*l = 294 + 42. Let u = -46 + l. Factor 8*m**3 - m**2 + 4*m**2 + 3*m**4 + 8*m**2 + 2*m - 4*m**u.
m*(m + 1)**2*(3*m + 2)
Let f(d) be the first derivative of -81/17*d**2 + 6/17*d**3 + 270/17*d - 23 + 1/34*d**4. Find k such that f(k) = 0.
-15, 3
Let x(h) = h**3 - 14*h**2 - 32*h + 4. Suppose 3*j = f - 10, -j = -4*f + 86 - 24. Let b be x(f). Factor -5*g**b + 10*g**3 - 21*g - 16*g + 37*g.
-5*g**3*(g - 2)
Let 5936/3*q + 1976/3*q**3 + 1978*q**2 - 1/3*q**4 + 1979/3 = 0. Calculate q.
-1, 1979
Factor 14/3*b**3 - 12 - 53/3*b**2 - 1/3*b**4 + 76/3*b.
-(b - 9)*(b - 2)**2*(b - 1)/3
Suppose -282*l + 3600 = 918*l. Factor -12/5*a**2 + 3*a**l + 0 - 3/5*a.
3*a*(a - 1)*(5*a + 1)/5
Let i(k) be the third derivative of -2*k**7/15 - 23*k**6/30 - 4*k**5/3 - 2*k**4/3 - 492*k**2 + 2*k. Factor i(o).
-4*o*(o + 1)*(o + 2)*(7*o + 2)
Let o(p) be the first derivative of -p**3 + 3*p**2 + 27*p - 57. Let s(y) = -4*y**2 + 4*y + 27. Let f(j) = -7*o(j) + 6*s(j). Suppose f(n) = 0. Calculate n.
-3
Suppose -z + 3*v + 6 + 1 = 0, -v + 3 = -3*z. Let k(r) = r + 2. Let f(y) = 2*y**2 + 28*y + 4. Let c(h) = z*k(h) + f(h). Determine o, given that c(o) = 0.
-13, 0
Let d(u) be the first derivative of -2*u**7/147 + 8*u**6/105 - u**5/7 + 2*u**4/21 - 11*u - 5. Let g(m) be the first derivative of d(m). Factor g(p).
-4*p**2*(p - 2)*(p - 1)**2/7
Let l(n) be the second derivative of n**5/15 - 4*n**4 + 190*n**3/3 + 1444*n**2/3 - 83*n. Factor l(v).
4*(v - 19)**2*(v + 2)/3
Factor 24*o - 1737*o**3 + o**5 + 90 + 341*o + 2127*o**3 + 4*o**5 + 110*o**4 + 560*o**2.
5*(o + 1)**4*(o + 18)
Let f = 1415625 + -5662497/4. Determine k, given that 1/4 - 1/4*k**3 - 3/4*k + f*k**2 = 0.
1
Let c = 21 - 18. Factor -810 + x**c + 2852 + 867*x + 3229 + 51*x**2 - 358.
(x + 17)**3
Let l be -2*(-52)/(-48) + 4 - (2470/(-156) + 16). Factor l*d**2 + 45 + 20*d.
5*(d + 3)*(d + 9)/3
Let a(z) be the third derivative of 2*z**7/7 + 157*z**6/24 - 38*z**5/3 + 35*z**4/6 + 640*z**2. Find j such that a(j) = 0.
-14, 0, 1/4, 2/3
Factor -3/4*b**2 - 936 - 3747/4*b.
-3*(b + 