 + 0*h + 0.
3*h**2*(h - 2)*(h - 1)/4
Factor 46/5*g - 20 + 2/5*g**2.
2*(g - 2)*(g + 25)/5
Determine t so that -7*t**3 + 16*t - 8*t + 32*t**2 + 20*t + 11*t**3 = 0.
-7, -1, 0
Suppose -7 = -3*g - 1. Let l(c) be the first derivative of 0*c + 2/5*c**g - 4/3*c**3 - 7 + 4/5*c**4. What is j in l(j) = 0?
0, 1/4, 1
Let n(m) = 2*m**3 - 8*m**2 + m - 2. Let i be n(4). Suppose 3*j + 17 = 2*w + 45, j - 12 = -i*w. Factor -5*b**3 - b**2 + b - 9*b**2 + j + 4*b.
-5*(b - 1)*(b + 1)*(b + 2)
Let s(f) be the first derivative of 2*f + 1/16*f**5 + 1/4*f**2 + 3/16*f**4 - 4 + 1/120*f**6 + 7/24*f**3. Let i(j) be the first derivative of s(j). Factor i(b).
(b + 1)**3*(b + 2)/4
Let t(j) = 5*j**4 - 3*j**3 - 5*j**2 - 5*j. Let s(n) = 10*n**4 - 8*n**3 - 10*n**2 - 10*n. Let r(d) = -4*s(d) + 9*t(d). Factor r(c).
5*c*(c - 1)*(c + 1)**2
Let s(z) be the third derivative of z**6/60 + 7*z**5/25 - 29*z**4/60 - 6*z**3/5 - 139*z**2. Suppose s(m) = 0. What is m?
-9, -2/5, 1
Let j(y) be the third derivative of -7*y**6/480 + 11*y**5/60 - 17*y**4/24 + 2*y**3/3 - 41*y**2. Find g, given that j(g) = 0.
2/7, 2, 4
Factor -80*g - 388*g**3 - 369*g**3 - 434*g**4 - 443*g**3 - 315*g - 5*g**5 - 1190*g**2 + 24*g**4.
-5*g*(g + 1)**3*(g + 79)
Factor -7*r + 29*r - 4 - 58*r**3 + 36*r + 4*r**2.
-2*(r - 1)*(r + 1)*(29*r - 2)
Factor -156*m**3 - 12*m**4 - 7*m**2 - 17*m**2 + 57*m**3.
-3*m**2*(m + 8)*(4*m + 1)
Let f(c) = -24*c - 288. Let l be f(-12). Let n(q) be the third derivative of -1/48*q**4 + 1/24*q**3 + 1/240*q**5 + 0*q + l - 12*q**2. Factor n(s).
(s - 1)**2/4
Factor 3 + 3*s**2 - 4 + 12*s + s**2 - 8 - 7*s**2.
-3*(s - 3)*(s - 1)
Let s(m) = -6*m**3 - 10*m**2 + 4. Let w(z) = z**3 + 3*z**2 + z - 1. Let r(d) = s(d) + 4*w(d). Factor r(t).
-2*t*(t - 2)*(t + 1)
Let s(c) be the first derivative of c**4 - 20*c**3/3 - 12*c**2 - 1039. Suppose s(d) = 0. Calculate d.
-1, 0, 6
Let g(f) be the third derivative of -3*f**7/8 - 67*f**6/72 + 5*f**4/6 + 29*f**3/6 - 39*f**2. Let o(u) be the first derivative of g(u). Factor o(w).
-5*(w + 1)*(7*w + 2)*(9*w - 2)
Let r = -2286 + 2292. Let z(k) be the second derivative of 0*k**2 - 14*k - 5/6*k**r - 5/4*k**4 + 0*k**3 + 7/4*k**5 + 5/42*k**7 + 0. Factor z(f).
5*f**2*(f - 3)*(f - 1)**2
Suppose -4*f = -6*f + 4. Factor -d - d + 6*d + 8*d**f.
4*d*(2*d + 1)
Let s(n) be the second derivative of -3*n**5/100 + n**4/5 + 7*n**3/10 - 3*n**2 - 7*n - 14. Factor s(o).
-3*(o - 5)*(o - 1)*(o + 2)/5
Let u(o) be the first derivative of -27 + 0*o + 1/36*o**4 + 2/9*o**3 + 1/2*o**2. Factor u(g).
g*(g + 3)**2/9
Let x(m) = 3*m**2 + 5*m + 10. Let o(j) = -2*j**2 - 5*j - 9. Suppose z + 2 = 0, -z = -3*h - 2*z + 7. Let c(b) = h*x(b) + 4*o(b). Determine q so that c(q) = 0.
-1, 6
Let x(z) be the first derivative of z**4/42 - z**3/21 - 6*z**2/7 - 5*z + 32. Let c(i) be the first derivative of x(i). Solve c(m) = 0 for m.
-2, 3
Suppose -j + 5 = 4*j + a, -25 = -5*j + 3*a. Factor 55*k**2 + 92*k**j - 5*k**2 + 12*k - 10*k**2 + 363*k**3.
3*k*(11*k + 2)**2
Let r(z) be the second derivative of z**4/4 - 3*z**3/2 - 6*z**2 + 83*z. Determine o so that r(o) = 0.
-1, 4
Let q = 2349/13222 - -5/1202. Determine j, given that 12/11*j - 12/11*j**3 - 18/11 + q*j**4 + 16/11*j**2 = 0.
-1, 1, 3
Let z(u) be the third derivative of -u**8/2856 + 2*u**7/1785 - u**5/255 + u**4/204 + 9*u**2 + 3. Factor z(w).
-2*w*(w - 1)**3*(w + 1)/17
Suppose 3*l + 42 = 3*q, 14*l = 4*q + 13*l - 62. Suppose -12*t = -q*t + 8. Factor -1/4*r - 1/8*r**t - 1/8.
-(r + 1)**2/8
Let z(k) = 6*k**3 + 21*k**2 + 7*k + 4. Let b(j) = 12*j**3 + 45*j**2 + 15*j + 9. Let s(d) = -4*b(d) + 9*z(d). Find y such that s(y) = 0.
-1, -1/2, 0
Let p(v) = -25*v**4 - 65*v**3 - 30*v**2 - 40*v + 40. Let u(x) = x**4 + 2*x**3 + 2*x - 2. Let o(z) = p(z) + 20*u(z). What is c in o(c) = 0?
-3, -2, 0
Determine f so that -18/5 + 12/5*f - 2/5*f**2 = 0.
3
Let t = -372 + 1211/3. Solve -35/3*m**4 + 65/3*m**2 - 10 - 95/3*m + t*m**3 = 0.
-1, -2/7, 1, 3
Let w(m) be the first derivative of 1/8*m**4 - 1/3*m**3 + 5/12*m**6 + 0*m + 0*m**2 + 4/5*m**5 - 28. What is p in w(p) = 0?
-1, 0, 2/5
Let b be 4/(-14) + (-4347)/49. Let m = b + 92. Factor 2/5*v**m + 0*v + 8/5 - 6/5*v**2.
2*(v - 2)**2*(v + 1)/5
Let n = 2 + 12. Suppose -v + n = 6*v. Factor 0 - 9/4*h**3 + 0*h - 1/2*h**v - 7/4*h**4.
-h**2*(h + 1)*(7*h + 2)/4
Find j such that -12/7*j**2 + 20/7*j + 8/7 = 0.
-1/3, 2
Let x(r) be the second derivative of r**7/7 - r**6/10 - 9*r**5/5 - 5*r**4/2 + r**3 + 9*r**2/2 + 130*r + 2. Factor x(o).
3*(o - 3)*(o + 1)**3*(2*o - 1)
Let r(p) be the second derivative of -5*p**7/42 + 7*p**6/9 - 5*p**5/6 - 25*p**4/9 + 65*p**3/18 + 5*p**2 - 278*p. Let r(z) = 0. Calculate z.
-1, -1/3, 1, 2, 3
Let a = -21 + 25. Suppose -4*l + a*x + 84 = 3*x, 0 = 2*l - 4*x - 42. Factor 2*o**4 - 4*o**4 - 3*o + 8*o**3 + 4*o**2 - 18 - l*o.
-2*(o - 3)**2*(o + 1)**2
Let h be (2/(-5))/(16/(-30))*12. Factor -h*n**2 - 3*n**3 - 25 + 40*n + n**2 - n**4 + 2*n**2 - 5*n**3.
-(n - 1)**2*(n + 5)**2
Suppose 0 = -73*v + 43*v + 27 + 33. Factor 2/7*t - 1/7 - 1/7*t**v.
-(t - 1)**2/7
Let n(v) be the second derivative of -v**6/180 + v**5/30 - 4*v**3/9 + 4*v**2/3 + v - 266. Factor n(r).
-(r - 2)**3*(r + 2)/6
Let n = 163/644 - 1/322. Factor 1/8*c**2 - n + 1/8*c.
(c - 1)*(c + 2)/8
Let s = -753 - -2279/3. Factor -s*f + 5/3*f**2 + 20/3.
5*(f - 2)**2/3
Let c(b) be the second derivative of b**7/63 + b**6/15 + b**5/15 + 2*b + 15. Find r such that c(r) = 0.
-2, -1, 0
Let s be ((-10 - -5)*2)/1. Let x be 8/s*25/(-45). Factor 0 - x*p**2 + 2/9*p**3 + 2/9*p**4 + 0*p.
2*p**2*(p - 1)*(p + 2)/9
Let y(x) be the third derivative of 0*x + 0*x**3 + 2/1155*x**7 + 1/1848*x**8 - 4/165*x**5 - 1/220*x**6 + 0 - 1/33*x**4 - 34*x**2. What is c in y(c) = 0?
-2, -1, 0, 2
Suppose 0*z - 13*z = 0. Suppose -14*p + 19*p = z. Factor 2/3*m + 8/3*m**3 - 10/3*m**2 + p.
2*m*(m - 1)*(4*m - 1)/3
Let q(d) be the second derivative of 5*d**4/12 + 5*d**3/3 - 15*d**2/2 + 16*d. Determine v, given that q(v) = 0.
-3, 1
Suppose 2*q - 3*g + 7 = 0, 2*q - 2*g = -0*g - 2. Let r be q/(-16) + ((-1263)/(-20))/3. Let -16/5 + 5*u**5 - 21*u**4 + 8*u**2 - 48/5*u + r*u**3 = 0. What is u?
-2/5, 1, 2
Let f(c) be the first derivative of -2*c**2 + 40 - 20*c - 1/15*c**3. Factor f(i).
-(i + 10)**2/5
Let t(b) be the first derivative of -2*b**3/15 + 68*b**2/5 - 2312*b/5 + 131. Find d such that t(d) = 0.
34
Suppose -2/5*q**2 - 12 - 22/5*q = 0. Calculate q.
-6, -5
Suppose -1767*s + 1770*s = 12. Let p(a) be the first derivative of 7 + 0*a - 1/5*a**3 + 0*a**2 - 3/20*a**s. Solve p(t) = 0 for t.
-1, 0
Let z(r) be the first derivative of 5*r**3/4 + 39*r**2/8 - 9*r/2 + 44. Find u, given that z(u) = 0.
-3, 2/5
Determine h so that -5*h**2 + 16*h + 1/3*h**3 + 64/3 = 0.
-1, 8
Let m be 6*150/(-225)*2/(-4). Factor 1/4*w**3 + 1/2*w**2 - m*w + 0.
w*(w - 2)*(w + 4)/4
Let a = -134 - -136. Let r(y) be the second derivative of -5/3*y**3 + 3*y + a*y**2 - 1/10*y**5 + 2/3*y**4 + 0. Factor r(i).
-2*(i - 2)*(i - 1)**2
Let d(q) = -q**3 + 6*q**2 + 3. Suppose 0*b + 2*b = -2*w + 10, -w + 5*b + 11 = 0. Let f be d(w). Factor 9*s**f - 3*s - 2*s - s + 3*s**2.
3*s*(s + 1)*(3*s - 2)
Determine l so that -231/4*l - 21*l**2 - 3/4*l**3 - 75/2 = 0.
-25, -2, -1
Let c = -14/569 - -1180/1707. Factor 2*s**3 + c*s**5 - 6*s**2 + 0 + 0*s + 10/3*s**4.
2*s**2*(s - 1)*(s + 3)**2/3
Let m(b) be the third derivative of -55/48*b**4 - 19/24*b**5 - 51*b**2 - 5/6*b**3 - 5/24*b**6 + 0*b + 0. Determine n so that m(n) = 0.
-1, -1/2, -2/5
Let v = 2 + 0. Let n = 3 - v. Factor -2*c - c - c + 0*c + n + 3*c**2.
(c - 1)*(3*c - 1)
Let z = 4442 + -75512/17. Determine x, given that -6/17*x**2 + z*x + 6/17*x**3 + 0 - 2/17*x**4 = 0.
0, 1
Let m = -13441/10023 - -114/257. Let l = m + 42/13. Find j, given that -2/3*j**3 + l*j**2 + 0 - 7/3*j**4 + 2/3*j = 0.
-1, -2/7, 0, 1
Let f(m) be the second derivative of -3*m**5/20 + 3*m**4/4 - m**3 + 20*m. Solve f(b) = 0 for b.
0, 1, 2
Suppose 2*r + 4*j = 4, -2*r + 2*j + 0*j = -10. Let 77*z - 77*z - 8*z**3 - 4*z**r = 0. What is z?
-2, 0
Let 4223*n**4 + 22*n - 2460*n**4 + 61*n + 58*n + 396*n**2 - 2291*n**4 + 3 - 12*n**3 = 0. What is n?
-1/2, -1/44, 1
Let u be (-3)/(-1)*(7 + -2). Suppose 5*x = -2*c + 5*c - u, 4*c = 4*x + 20. Factor 8*v**5 + 0*v**3 - 3*v**3 - 5*v**c.
3*v**3*(v - 1)*(v + 1)
Let g(q) be the third derivative of 0*q - 1/360*q**6 - 8*q**2 + 0*q**4 + 0 + 1/630*q**7 + 0*q**3 - 