 5*f + 10*l - 8*l = -21. Let b(t) = -10*t**2 - 465*t - 5290. Let p(r) = -5*r**2 - 233*r - 2645. Let w(q) = f*b(q) + 5*p(q). Factor w(y).
5*(y + 23)**2
Determine w, given that -25/4*w**2 + 70*w - 5/4*w**3 + 75 = 0.
-10, -1, 6
Let s(n) be the second derivative of -n**5/60 - 7*n**4/36 + 23*n**3/6 - 39*n**2/2 - 2221*n. What is h in s(h) = 0?
-13, 3
Suppose 3*g - 265*o + 267*o = -18, -g - 58 = 5*o. Solve 8*y + 8/5*y**4 - 28/5*y**g - 2/5*y**5 - 16/5 - 2/5*y**3 = 0 for y.
-2, 1, 2
Let p(r) be the second derivative of r**5/15 - 20*r**4/3 + 122*r**3 - 980*r**2/3 + 5*r + 36. Find g, given that p(g) = 0.
1, 10, 49
Let q be (4 + -1)/(1/(-1)). Let b be 5/q*-3 - 3/1. Factor -2*x**b + 0*x**2 + 11*x - 8*x - x**2.
-3*x*(x - 1)
Let b(p) be the first derivative of -p**7/2100 + p**5/300 + 130*p**3/3 + 127. Let g(d) be the third derivative of b(d). Find c such that g(c) = 0.
-1, 0, 1
Let a(o) be the second derivative of 1/5*o**5 - 1458*o**2 + 9*o + 162*o**3 + 4 - 9*o**4. Determine x so that a(x) = 0.
9
Let m = 621 + -601. Factor -58*l + 24 + m - 2*l**2 - 44.
-2*l*(l + 29)
Let x(f) be the first derivative of f**4/96 - 17*f**3/24 + 33*f**2/16 + 252*f - 171. Let j(o) be the first derivative of x(o). Factor j(h).
(h - 33)*(h - 1)/8
Let t(l) be the second derivative of l**9/11340 - l**8/840 + l**7/210 - l**4/6 + 3*l - 22. Let z(o) be the third derivative of t(o). Factor z(h).
4*h**2*(h - 3)**2/3
Let p(y) be the third derivative of 0*y - 4/3*y**3 - 1 + y**2 + 0*y**4 + 1/30*y**5. Factor p(b).
2*(b - 2)*(b + 2)
Factor 29/5*l**3 + 42/5*l**2 + 0*l + 1/5*l**5 - 12/5*l**4 + 0.
l**2*(l - 7)*(l - 6)*(l + 1)/5
Let i(v) = -6*v + 39. Let m be i(5). Suppose m*k - 25 = 11. Determine r so that 0*r**2 + 3/2*r**k + 0*r**3 + 0*r + 0 = 0.
0
Let k(d) be the second derivative of -d**7/84 + 34*d**6/5 + d**5/20 - 34*d**4 - d**3/12 + 102*d**2 - 5775*d. Determine w so that k(w) = 0.
-1, 1, 408
Let h(v) be the third derivative of -v**8/420 - 97*v**7/525 - 1199*v**6/300 - 88*v**5/25 + 48*v**4/5 + 1035*v**2. Solve h(d) = 0 for d.
-24, -1, 0, 1/2
Let y(v) = 136*v**2 + 12*v + 1. Let k be y(1). Suppose 64*h = k*h - 170. Solve 1/2*r**h - 4 + 7/2*r = 0.
-8, 1
Let l(i) = 4*i**4 + 64*i**3 - 225*i**2 + 236*i - 79. Let c be 5/10*(2 - (2 + 2)). Let j(w) = -w**4 - w**3 + w + 1. Let o(d) = c*l(d) + j(d). Factor o(y).
-5*(y - 1)**3*(y + 16)
Suppose 460*m + 166*m - 147*m = -273*m. Let 14/5*y**3 + 2*y + m + 22/5*y**2 + 2/5*y**4 = 0. What is y?
-5, -1, 0
Let p = -61 + 61. Suppose 2*g = -p*g - 6, 0 = -4*b - 3*g + 7. Factor 10 + 2*x**2 + b*x - 7 - 2*x - 3*x**2.
-(x - 3)*(x + 1)
Let y(f) be the first derivative of f**6/120 + f**5/5 - 9*f**4/8 + 5*f**3/3 - 4*f - 107. Let p(s) be the third derivative of y(s). Determine b so that p(b) = 0.
-9, 1
Let g be (24327/119)/9 + -21. Factor -32/7*v - 12/7*v**2 + g.
-4*(v + 3)*(3*v - 1)/7
Let j(p) be the second derivative of -29*p**5/90 + 1016*p**4/27 - 140*p**3/27 - 5*p - 122. Solve j(s) = 0.
0, 2/29, 70
Let r(q) = -6*q**3 - 38*q**2 + 288*q - 652. Let t(p) = -2*p**3 + p**2 - 3. Let d(u) = 2*r(u) - 8*t(u). Factor d(o).
4*(o - 8)**2*(o - 5)
Let a(x) be the first derivative of -x**4/30 - x**3/5 + 4*x**2/5 + 48*x - 57. Let g(m) be the first derivative of a(m). Factor g(i).
-2*(i - 1)*(i + 4)/5
Factor 0 + 12*l**3 + 2*l**4 - 2/3*l**5 + 0*l**2 + 0*l.
-2*l**3*(l - 6)*(l + 3)/3
Let p(k) = k**4 - 2*k**3 - k**2 - 3*k + 1. Let l(n) = -32*n**4 + 84*n**3 + 372*n**2 + 556*n + 108. Let g(u) = -l(u) - 20*p(u). Factor g(z).
4*(z - 8)*(z + 2)**2*(3*z + 1)
Factor -1202/3*v**2 + 1/3*v**4 + 236/3*v**3 + 723 + 244*v.
(v - 3)**2*(v + 1)*(v + 241)/3
Factor -2*v**3 + 0*v + 0 - 3*v**2 - 1/4*v**4.
-v**2*(v + 2)*(v + 6)/4
Suppose 26*n - 13 = 39. Factor 72*u - 4*u**4 - 40*u**3 + 133*u**n - 67*u**2 - 94*u**2.
-4*u*(u - 1)*(u + 2)*(u + 9)
Let y be 21*(-3)/(-9) - 2. Suppose -k = -y*k + 24. Factor k*i**2 + 3 - 4 - 2*i + 3 - 6*i.
2*(i - 1)*(3*i - 1)
Let h(i) be the first derivative of 140*i**3/3 - 156*i**2 + 64*i + 235. Factor h(j).
4*(j - 2)*(35*j - 8)
Suppose 136*f = 141*f + l - 17, 2*l = -2*f + 18. Factor 1/6*j**f - 5/6*j + 1/6*j**3 + 1/2.
(j - 1)**2*(j + 3)/6
Let u(r) = 7*r**5 - 8*r**4 + 59*r**3 + 36*r**2 - 5*r + 5. Let f(p) = 2*p**5 - p**4 + 7*p**3 - p + 1. Let q(k) = -5*f(k) + u(k). Solve q(b) = 0 for b.
-2, 0, 3
Let k(a) be the first derivative of -a**4 + 320*a**3/3 + 2165. Determine l so that k(l) = 0.
0, 80
Let g(d) be the third derivative of d**7/1890 - 11*d**6/90 + 73*d**5/10 + 253*d**4/2 + 1587*d**3/2 + 873*d**2 - 1. Determine o so that g(o) = 0.
-3, 69
Let f = -54 + 64. Suppose 0 = 9*g - 4*g - f. Factor -2*c**4 + 8*c**3 - 3*c**2 - 3*c**g + 2*c**2 - 8*c + 6.
-2*(c - 3)*(c - 1)**2*(c + 1)
Suppose 1 = 3*o - z, -36*o - 4*z + 18 = -37*o. Let f(m) be the first derivative of 0*m + 0*m**o - 5 - m**4 - 8/3*m**3. Factor f(w).
-4*w**2*(w + 2)
Factor -5*l**5 + 332*l + 190*l**4 - 1985*l**3 + 1742*l**2 + 1678*l**2 - 1952*l.
-5*l*(l - 18)**2*(l - 1)**2
Suppose 3*i = -4*p + 126, -113 = -3*p - 5*i - 13. Suppose p + 946*c - 5*c**3 - 1940*c + 929*c + 40*c**2 = 0. Calculate c.
1, 6
Let y be ((-750)/40)/(((-57)/(-26724))/(-1)). Let b = y + -8787. Suppose -b - 26/19*x**2 - 2/19*x**3 - 96/19*x = 0. What is x?
-6, -1
Let c(t) be the second derivative of 35*t**4/6 - 15*t**3/2 + 594*t + 1. Suppose c(z) = 0. Calculate z.
0, 9/14
Let n(t) = 6*t - 3. Let h(m) = 18*m - 14. Let q(a) = -4*h(a) + 14*n(a). Let x be q(-1). What is v in 5/3*v + x - 1/3*v**2 = 0?
-1, 6
Let l(h) be the second derivative of -25*h**7/21 - 23*h**6 - 567*h**5/5 - 45*h**4 + 621*h**3 - 729*h**2 + 6*h + 155. Find n such that l(n) = 0.
-9, -3, 3/5
Let i(s) be the first derivative of 3*s**5/10 + 39*s**4/8 + 24*s**3 + 27*s**2 - 4524. Find a, given that i(a) = 0.
-6, -1, 0
Let r(t) be the first derivative of 5*t**8/336 + t**7/14 + t**6/8 + t**5/12 - 71*t**2 + 12. Let f(j) be the second derivative of r(j). What is a in f(a) = 0?
-1, 0
Let x(m) be the third derivative of m**5/120 - 9*m**4/2 + 972*m**3 + 53*m**2 - 11*m. Factor x(s).
(s - 108)**2/2
Let u(g) be the second derivative of -5*g**7/21 - 29*g**6/6 + 15*g**5/4 - 5117*g. Solve u(r) = 0 for r.
-15, 0, 1/2
Let h be (8 + 30/(-4))*0. Let k(m) be the first derivative of 2/25*m**5 + h*m - 4/5*m**2 - 8/15*m**3 - 1 + 1/10*m**4. Factor k(n).
2*n*(n - 2)*(n + 1)*(n + 2)/5
Let x = 412100/7 - 58870. Factor -x*z - 8/7*z**3 - 32/7*z**2 + 50/7.
-2*(z - 1)*(2*z + 5)**2/7
Determine h, given that -292/11*h - 170/11*h**2 - 16/11*h**3 - 138/11 = 0.
-69/8, -1
Let s(m) = 28*m - 253. Let h be s(9). Let y(r) = -26*r - 23. Let x be y(h). Factor 3/4*a**x + 0*a**2 - 9/4*a - 3/2.
3*(a - 2)*(a + 1)**2/4
Let t = -5251 - -5253. What is m in 0*m**t - 5/2*m**3 + 5/2*m - 5/4*m**4 + 5/4 = 0?
-1, 1
Let c(f) be the third derivative of -5*f**3 + 1/12*f**5 + 0 + 2*f - 5/24*f**4 - 56*f**2. Factor c(t).
5*(t - 3)*(t + 2)
Let o = 206 - 176. Factor -o*h + 67*h + 5*h**3 - 7*h + 25*h**2.
5*h*(h + 2)*(h + 3)
Let w(g) be the third derivative of -8*g**6/15 + 232*g**5/15 - 1121*g**4/6 + 3610*g**3/3 + 2378*g**2. Factor w(v).
-4*(v - 5)*(4*v - 19)**2
Let o(d) be the first derivative of -d**3/8 + 3*d**2 + 51*d/8 - 1518. Factor o(s).
-3*(s - 17)*(s + 1)/8
Let a(s) be the third derivative of 0 + 2/3*s**4 + 32/3*s**3 + 0*s + 71*s**2 + 1/60*s**5. Find u, given that a(u) = 0.
-8
Let s = -6152 + 295297/48. Let f(x) be the second derivative of -1/4*x**2 + 1/8*x**3 + 3*x + 0 - s*x**4. Factor f(y).
-(y - 2)*(y - 1)/4
Let n be ((-250)/35 - -7)*-7. Suppose -4*r + 4 = 2*g, n = -g + 5*r + 10. Factor -2/9*q + 0 + 2/9*q**g - 2/3*q**3 + 2/3*q**2.
2*q*(q - 1)**3/9
Let d(b) be the third derivative of 0 + 0*b + 1/42*b**7 + 0*b**4 + 91*b**2 - 1/12*b**6 + 0*b**3 - 1/4*b**5. Find r such that d(r) = 0.
-1, 0, 3
Let k = 245/6 + -115/3. Let f(m) be the first derivative of m + k*m**2 + 4/3*m**3 + 19. Solve f(p) = 0.
-1, -1/4
Let d = 8664 + -8668. Let q(k) = 5*k**3 + 8*k**2 + 13*k + 6. Let s(h) = 7*h**2 + 3*h + 3*h**3 + h + 9*h + 6. Let y(i) = d*s(i) + 3*q(i). Factor y(n).
(n - 3)*(n + 1)*(3*n + 2)
Let s(c) = 6*c**4 - 480*c**3 - 929*c**2 - 457*c + 21. Let w(m) = 2*m**4 - 240*m**3 - 465*m**2 - 229*m + 9. Let p(j) = -3*s(j) + 7*w(j). Factor p(h).
-4*h*(h + 1)**2*(h + 58)
Let g(a) be the third derivative of -1/3*a**3 - 1/20*a**5 + 1/210*a**7 - 5/24*a**4 + 0*a + 0 + 168*a**2 + 1/120*a*