/40*q**5 + 0*q**3 + 6*q + 3/2*q**2 - 1/16*q**4 + 0. Let t(x) be the first derivative of z(x). Factor t(c).
-3*c*(c + 1)/2
Let f(g) be the second derivative of -g**4/12 - 7*g**3/3 - 13*g**2/2 - 3*g - 18. Factor f(s).
-(s + 1)*(s + 13)
Let n = -48 + 56. Factor 0*f - n*f + 11*f + 3*f**2.
3*f*(f + 1)
Let z(g) be the first derivative of 2*g**3/3 + 29*g**2 + 56*g - 421. Factor z(f).
2*(f + 1)*(f + 28)
Let a(s) be the first derivative of s**3/3 - 45*s**2/2 + 80. Determine c, given that a(c) = 0.
0, 45
Let q(m) = 2*m + 65. Let i be q(-30). Suppose -2*y + 3*v + 0*v = -13, 0 = -5*y - 5*v - i. Factor 2/7 + 4/7*x - 4/7*x**3 + 0*x**y - 2/7*x**4.
-2*(x - 1)*(x + 1)**3/7
Suppose -44*y = -39*y - 10. Factor -32*i**2 + 15*i**4 - 28*i - 5*i**3 + 0*i**3 + 8*i - 8*i**y.
5*i*(i - 2)*(i + 1)*(3*i + 2)
Let z = 6683689/251895 - 5/16793. Let h = z + -131/5. What is t in 0*t + 0 + h*t**4 - 2/3*t**3 + 0*t**2 = 0?
0, 2
Let x be 10/12 + (-1)/3. Let d be 4/6*-1*(-198)/132*3. Factor -1/4*i**d + 0*i**2 + x + 3/4*i.
-(i - 2)*(i + 1)**2/4
Let m(x) = 6*x**2 - 57*x - 63. Let w(j) = 4 - 3 - j**2 + 8 + 8*j. Suppose -3*d - d = -60. Let g(y) = d*w(y) + 2*m(y). Factor g(r).
-3*(r - 3)*(r + 1)
Let f(q) be the second derivative of -7/15*q**5 - q**3 - 8/9*q**4 - 2/3*q**2 - 1/63*q**7 + 0 - 2/15*q**6 + 16*q. Factor f(u).
-2*(u + 1)**4*(u + 2)/3
Let h(b) be the third derivative of -b**6/1440 - b**5/240 - b**4/96 + 11*b**3/6 - 22*b**2. Let u(r) be the first derivative of h(r). Factor u(p).
-(p + 1)**2/4
Let c = -2179/8 - -273. Let h(s) be the third derivative of 1/24*s**6 + 0*s**3 - c*s**4 - 1/6*s**5 - 2*s**2 + 0 + 0*s. Factor h(j).
5*j*(j - 3)*(j + 1)
Factor s + 3*s**2 - 3 + s**2 + 6 - 7*s - s**2.
3*(s - 1)**2
Let t be (-2)/(-7) + (-34)/119. Let h(c) be the second derivative of -1/2*c**3 + t*c**4 + 9/80*c**5 - 4*c - 1/40*c**6 + 0 + 0*c**2. Solve h(g) = 0 for g.
-1, 0, 2
Let y(x) be the second derivative of 3/80*x**5 + 0 + 1/16*x**4 + 0*x**3 + 0*x**2 + x. Solve y(q) = 0.
-1, 0
Let i(w) be the second derivative of -1/48*w**4 - 17*w + 1/120*w**6 - 1/2*w**2 - 1/3*w**3 - 1/168*w**7 + 0 + 1/16*w**5. Factor i(c).
-(c - 2)**2*(c + 1)**3/4
Let n be 3/(-7) - 120/14. Let c(r) = r**3 - r**2 - 1. Let z(k) = 6*k**3 - 3*k**2 - 3*k - 9. Let w(p) = n*c(p) + z(p). Find m such that w(m) = 0.
0, 1
Factor 2/3*v**2 + 16/15*v - 8/15.
2*(v + 2)*(5*v - 2)/15
Let i(u) be the first derivative of u**2/2 - 10*u + 2. Let c be i(12). Solve -2*j + 4 - 8*j + 0*j + 8*j**c - 2*j**3 = 0.
1, 2
Let f(o) = 3*o + 6. Let r be f(-23). Let g be (3/(-5))/(r/140). Factor -g*a**2 + 0 + 2/3*a**3 + 2/3*a.
2*a*(a - 1)**2/3
Let u(b) = b**2 - 2*b + 1. Let h(w) = -w. Let z(f) = 4*h(f) - u(f). What is m in z(m) = 0?
-1
Let s(u) be the third derivative of -u**6/120 - u**5/10 - 3*u**4/8 - 7*u**3/6 - 7*u**2. Let b(n) be the first derivative of s(n). Determine z so that b(z) = 0.
-3, -1
Let j(t) = t**3 - 6*t**2 + 6*t + 4. Let y be j(5). Suppose 13*v = y*v + 8. Factor 2*s - 2*s**3 + 2*s**2 + 2 + 2 - 9*s**v + 3*s**2.
-2*(s - 1)*(s + 1)*(s + 2)
Let p(n) be the second derivative of 6/65*n**5 + 2/39*n**3 + 0 - 3/26*n**4 + 0*n**2 + 6*n - 4/195*n**6. Find q such that p(q) = 0.
0, 1/2, 2
Let k(o) be the first derivative of o + 42. Let b(z) = -6*z**2 + 16*z - 6. Let n(j) = b(j) + 12*k(j). Factor n(a).
-2*(a - 3)*(3*a + 1)
Factor 8/5*f**2 + 12/5 + 1/5*f**3 + 19/5*f.
(f + 1)*(f + 3)*(f + 4)/5
Determine r so that 4*r**4 - 2*r**3 + 24*r**2 - 5*r**4 - 6*r**4 - 10*r**2 - 7 + 0*r**5 + r + r**5 = 0.
-1, 1, 7
Let u(c) be the third derivative of -1/30*c**5 + 0*c**3 + 0*c + 1/105*c**7 - 10*c**2 - 1/30*c**6 + 0 + 1/6*c**4. Solve u(r) = 0 for r.
-1, 0, 1, 2
Suppose -26 - 94 = -8*k. Suppose 4*w - 5*w + 3*w**4 + 6*w + 2*w**4 + k*w**2 + 15*w**3 = 0. Calculate w.
-1, 0
Let u(r) be the third derivative of -r**9/3402 - r**8/2520 + r**7/3780 - 4*r**3/3 - 3*r**2. Let g(a) be the first derivative of u(a). Factor g(p).
-2*p**3*(p + 1)*(4*p - 1)/9
Let b = 3353 + -36869/11. Solve 38/11*t**4 + 2/11*t**3 + 8/11 + b*t**5 - 46/11*t**2 - 16/11*t = 0.
-2, -1, 2/7, 1
Let n be (-9)/(-120)*-8 - (-36)/10. Factor -18/17*d - 12/17*d**2 - 2/17*d**n - 8/17.
-2*(d + 1)**2*(d + 4)/17
Let q be (3/2)/(0 - (-3)/190). Let p = -91 + q. Factor -1/4*r**p + 0*r**3 + 0*r**2 + 0*r - 1/4*r**5 + 0.
-r**4*(r + 1)/4
Let o be 1 + (4 - -42) - -3. Let h = o + -46. What is k in -1/3*k**3 + 1/3*k + 0 + 1/3*k**h - 1/3*k**2 = 0?
-1, 0, 1
Let p(k) be the first derivative of -3*k**4/16 - 7*k**3/2 - 147*k**2/8 - 31. Determine t, given that p(t) = 0.
-7, 0
Let f = -1599 + 3113. Factor f*b + 3125 + 130*b + 100*b**3 + 5*b**4 + 856*b + 750*b**2.
5*(b + 5)**4
Let x(r) be the third derivative of 1/90*r**5 - 39*r**2 + 1/18*r**3 + 0*r + 0 + 1/24*r**4. Solve x(p) = 0.
-1, -1/2
Let a = 86/47 + -383/235. Let d**3 - a*d**4 - 2/5 - 9/5*d**2 + 7/5*d = 0. Calculate d.
1, 2
Let g = 5170 - 5167. Factor 0*y**2 + 0*y + 0 - 3/7*y**4 + 6/7*y**g.
-3*y**3*(y - 2)/7
Let s be ((-6)/24)/((-84)/(-96))*7/(-5). Factor 0 - s*i**2 + 4/5*i - 2/5*i**3.
-2*i*(i - 1)*(i + 2)/5
Let d(y) = 2*y**5 + y**3 - 3*y**2 - 3. Let z(l) = 3*l**5 + 2*l**3 - 5*l**2 - 5. Let v(s) = -5*d(s) + 3*z(s). Factor v(k).
-k**3*(k - 1)*(k + 1)
Suppose 85 + 315 = 4*k. Suppose -2*a - k = -5*v + 3*a, -3*v = 5*a - 20. Determine h, given that 0*h**2 + 3*h**4 - v*h**3 - 6*h**2 + 12*h**3 = 0.
-1, 0, 2
Let y be 257 + 0 + 3 - 4. Solve -320*j**2 + 1193 - 169 - 4*j**5 - 3*j**4 + y*j + 35*j**4 - 16*j**3 = 0.
-2, 4
Solve -20*f**2 - 651*f**3 + 151 - 407 + 652*f**3 + 128*f = 0.
4, 8
Let z(f) be the second derivative of f**8/560 + f**7/70 + f**6/24 + f**5/20 + f**3/6 - 22*f. Let u(p) be the second derivative of z(p). Let u(q) = 0. What is q?
-2, -1, 0
Let r = 3203/20 - 160. Let y(d) be the first derivative of 15/16*d**4 - 4 + 3/2*d**3 - 3/2*d**2 - 6*d + r*d**5. Factor y(k).
3*(k - 1)*(k + 2)**3/4
Let w(i) = -5*i**2 + 7*i**2 - 4*i + 0*i**2 + 2*i**2. Let n(h) = -h**2 + h. Let l(x) = -9*n(x) - 2*w(x). What is d in l(d) = 0?
0, 1
Let 4/5*t + 2/5*t**2 - 6/5 = 0. What is t?
-3, 1
Let -8/9 + 4/9*z**4 - 16/9*z**3 + 14/9*z + 2/9*z**5 + 4/9*z**2 = 0. What is z?
-4, -1, 1
Let y(f) = -3*f**3 - 168*f**2 + 334*f - 163. Let l(u) = 2*u**3 + 84*u**2 - 168*u + 82. Let k(x) = 11*l(x) + 6*y(x). Solve k(h) = 0 for h.
1, 19
Let m(o) be the second derivative of 2*o**3/3 + 41*o**2 + 14*o - 3. Let a be m(-20). Let 0*g - 3/2*g**a + 21/4*g**3 - 15/4*g**4 + 0 = 0. Calculate g.
0, 2/5, 1
Let x(p) be the second derivative of -p**7/6300 + p**5/300 + p**4/90 + 7*p**3 + 16*p. Let h(g) be the second derivative of x(g). Factor h(n).
-2*(n - 2)*(n + 1)**2/15
Suppose 4*v - 6*g = -8*g + 18, 3*v - 6 = g. Factor 144 + 300*s**2 - 360*s - 290/3*s**v - 2/3*s**5 + 40/3*s**4.
-2*(s - 6)**3*(s - 1)**2/3
Let q(g) = -14*g**2 + 0 + 13*g**2 + g - 1. Let t(u) = -7*u**2 - 2*u - 1. Let k(y) = -2*q(y) + t(y). Factor k(j).
-(j + 1)*(5*j - 1)
Let k(z) = 2*z + 2. Suppose -12 = 5*s + 3*q, 0 = 5*q + 6 + 14. Let g be k(s). Factor 0*d**g + 4/3 + 2/3*d**3 - 2*d.
2*(d - 1)**2*(d + 2)/3
Factor -172*f**2 + 84*f**2 + 89*f**2 + 18 + 3*f + 8*f.
(f + 2)*(f + 9)
Let a = 1060/3 - 353. Let d(u) be the second derivative of u + a*u**2 - 1/18*u**3 + 0 - 1/36*u**4. Find g, given that d(g) = 0.
-2, 1
Let z(d) be the first derivative of 0*d - 7*d**2 - 5/6*d**4 + 2 - 5/6*d**3 + 5/12*d**5. Let p(b) be the second derivative of z(b). Factor p(t).
5*(t - 1)*(5*t + 1)
Suppose -137 = -5*g + 183. Factor 0*f + 63*f**2 - g*f**2 + f.
-f*(f - 1)
Let w(y) be the first derivative of -y**5 + 15*y**4/2 + 9. Let w(l) = 0. What is l?
0, 6
Let m(n) be the first derivative of 3*n**5/25 - 81*n**4/5 + 4374*n**3/5 - 118098*n**2/5 + 1594323*n/5 - 35. Factor m(c).
3*(c - 27)**4/5
Let b be (8/24)/((2/6)/1). Suppose d = -b + 4. What is v in -7/2*v**2 + v + 0 + 7/2*v**4 - v**d = 0?
-1, 0, 2/7, 1
Let z be (-136)/(-160) - 3/5. Let w(m) be the second derivative of 3/40*m**5 - 1/60*m**6 + 0 + 1/2*m**2 - z*m**3 - 1/24*m**4 + m. Factor w(v).
-(v - 2)*(v - 1)**2*(v + 1)/2
Let v(p) be the first derivative of -2*p**5/15 - 4*p**4/3 + 2*p**3/9 + 8*p**2/3 + 186. Let v(a) = 0. Calculate a.
-8, -1, 0, 1
Let k(j) be the third derivative of -4/27*j**3 + 1/270*j**5 + 0 + 4*j**2 + 0*j - 1/36*j**4. Suppose k(q) = 0. What is q?
-1, 4
Let h(j) be the third derivative of 9*j**7/70 - 29*j**6/40 - 12*j**5/5 + 21*j**4