- 15*b - 11. Let q(z) be the first derivative of x(z). Factor q(p).
-2*(p - 1)**3/11
Let j(x) be the second derivative of 0 - 15/16*x**4 + 13*x - 375/8*x**2 + 3/80*x**5 + 75/8*x**3. Factor j(r).
3*(r - 5)**3/4
Let j = 1276/3 + -424. Solve -10/3*y**3 - 6*y + j + 8*y**2 = 0.
2/5, 1
Suppose 293 + 12*y**2 + 3*y**3 - 293 - 15*y = 0. Calculate y.
-5, 0, 1
Let j = -2/9393 + 9397/18786. Find t, given that -1/8*t**3 + 1/8*t + j*t**2 - 1/2 = 0.
-1, 1, 4
Factor w**2 + 10*w - 76*w + 3*w**2 + 76 - 14*w.
4*(w - 19)*(w - 1)
Let b(p) be the first derivative of 3*p**5/5 - 21*p**4/4 + 15*p**3 - 27*p**2/2 + 517. Find h such that b(h) = 0.
0, 1, 3
Solve 0 + g**4 - 7*g**3 + 0 + 11*g**2 - 4 + 7*g + 0*g**4 - 8 = 0 for g.
-1, 1, 3, 4
Let x be (4521/4110)/(-1 + (-18)/(-16)). Determine h, given that -2/5*h**2 - 242/5 - x*h = 0.
-11
Let n(h) be the first derivative of -h**4/24 - 139*h**3/18 - 1633*h**2/4 - 1587*h/2 + 435. Factor n(l).
-(l + 1)*(l + 69)**2/6
Let h be 2 + ((-4)/(-9))/((-22)/(-99)). Find c such that -1/3 - 2/3*c + 2/3*c**2 - 2/3*c**5 - 1/3*c**h + 4/3*c**3 = 0.
-1, -1/2, 1
Factor -45 - 5*v + 40*v**2 - 9*v + 54*v**2 - 95*v**2.
-(v + 5)*(v + 9)
Factor 13 + 13*s + 5*s**2 - 13 - 48*s - 20*s.
5*s*(s - 11)
Let i be 754/(-14) - (-8)/(-2). Let v = i + 58. Factor -2/7*u**3 + v*u**4 + 2/7*u - 1/7 + 0*u**2.
(u - 1)**3*(u + 1)/7
Let u = 25805/2 - 12901. Factor 3/4*h**4 + 0*h**2 - u*h**3 + 0*h + 0.
3*h**3*(h - 2)/4
Let o be 4/10*70/182. Let z = 37 + -479/13. Factor 0 + z*i**4 - o*i**2 - 2/13*i**3 + 2/13*i.
2*i*(i - 1)**2*(i + 1)/13
Factor -75/8 + 7/8*o**2 - 5/8*o + 1/8*o**3.
(o - 3)*(o + 5)**2/8
Let y(j) be the first derivative of 1/12*j**3 - 1/4*j**2 + 3 - 1/160*j**5 + 3*j + 1/96*j**4. Let n(d) be the first derivative of y(d). Let n(t) = 0. What is t?
-2, 1, 2
Let r(k) be the third derivative of k**6/160 + k**5/40 - k**4/32 - k**3/4 + 95*k**2. Solve r(x) = 0.
-2, -1, 1
Let g(p) be the first derivative of 0*p**2 - 2/9*p**4 - 2/27*p**3 + 0*p - 8/45*p**5 - 27. Let g(q) = 0. Calculate q.
-1/2, 0
Let v(m) be the third derivative of 0 + 3*m**2 - 11/4*m**4 - 23/15*m**5 + 0*m - 3/35*m**7 - 1/2*m**6 - 1/168*m**8 - 3*m**3. Let v(x) = 0. Calculate x.
-3, -1
Factor -15 - 59*p**2 + 12 - 58 + p**3 - 121*p.
(p - 61)*(p + 1)**2
Let z(j) = j**3 + j**2 + j. Let v(c) = c**2 + 4*c. Let l be v(-4). Let w be z(l). Factor 2*i**4 + 2*i**3 + 0*i**3 + i**2 + w*i**2 - i**4.
i**2*(i + 1)**2
Let a(x) be the first derivative of -x**5/15 + 2*x**4/3 + x**3 - 548. Determine o so that a(o) = 0.
-1, 0, 9
Let f be (-1 - (2 - 3))/(48/168*7). Factor 0 + f*x + 1/4*x**3 + 1/4*x**2.
x**2*(x + 1)/4
Let c(q) be the third derivative of -q**6/120 - 3*q**5/40 + 13*q**3/6 + 16*q**2. Let p(f) be the first derivative of c(f). Find t, given that p(t) = 0.
-3, 0
Let x(l) be the second derivative of l**4/3 - 10*l**3 + 52*l**2 + 240*l. Let x(h) = 0. What is h?
2, 13
Suppose 15 - 179 = -4*i. Let r = 125/3 - i. Find t such that r*t**3 + 4/3 + 10/3*t + 8/3*t**2 = 0.
-2, -1
Let a(m) = -15*m**2 - 22*m + 25. Let b(x) = 26*x**2 + 44*x - 49. Let l(w) = 7*a(w) + 4*b(w). Solve l(i) = 0.
1, 21
Find n, given that -23*n**2 - 5*n**4 - 59*n**2 - 26*n**3 + 2*n**2 - 4*n**3 - 55*n**3 = 0.
-16, -1, 0
Suppose -4*t = -6*t + 24. Solve 10 + 128*q - 7*q**3 + t*q**2 - 13*q**3 + 38 = 0.
-2, -2/5, 3
Factor -9*w - 3/2*w**4 - 33/2*w**2 + 0 - 9*w**3.
-3*w*(w + 1)*(w + 2)*(w + 3)/2
Let i(m) be the third derivative of 1/360*m**6 - 1/72*m**4 + 0 + 1/9*m**3 - 27*m**2 - 1/90*m**5 + 0*m. Find a such that i(a) = 0.
-1, 1, 2
Let c(s) be the first derivative of 3/4*s**4 - 5*s**3 + 0*s + 9*s**2 + 45. Factor c(j).
3*j*(j - 3)*(j - 2)
Let w be (86/21)/((-132)/198) - -13. Suppose w*b**3 + 600/7*b - 375/7 - 270/7*b**2 - 3/7*b**4 = 0. Calculate b.
1, 5
Let r(j) be the second derivative of j**8/5040 - j**7/360 - j**6/135 - 37*j**3/6 - j - 2. Let c(i) be the second derivative of r(i). Factor c(a).
a**2*(a - 8)*(a + 1)/3
Let j(h) be the second derivative of -h**6/90 + 2*h**5/15 - 2*h**4/3 - 5*h**3/2 + 12*h. Let l(s) be the second derivative of j(s). Factor l(x).
-4*(x - 2)**2
Let h(p) be the third derivative of -3*p**6/100 + 17*p**5/75 + 2*p**4/15 + 84*p**2. Factor h(a).
-2*a*(a - 4)*(9*a + 2)/5
Let p(z) be the first derivative of 4*z**5 - 65*z**4/4 + 40*z**3/3 + 35*z**2/2 - 30*z + 48. Suppose p(d) = 0. What is d?
-3/4, 1, 2
Factor -451 - g**2 - 44*g + 3*g**2 - 6*g**2 + 411.
-4*(g + 1)*(g + 10)
Let b(o) be the third derivative of o**5/100 - 271*o**4/60 - 181*o**3/30 + 124*o**2. Factor b(x).
(x - 181)*(3*x + 1)/5
Suppose j - 2 = 1. Suppose -j = -w, 5*d + 2*w - 14 = d. Suppose -15*q**4 + q**d + 14*q**4 - q**5 - q**2 = 0. Calculate q.
-1, 0
Let s = -170 - -170. Let n(a) be the third derivative of 1/6*a**4 + 1/105*a**7 + 0 + s*a**3 + 2*a**2 + 0*a + 1/15*a**6 + 1/6*a**5. Let n(x) = 0. Calculate x.
-2, -1, 0
Let h be (3/9)/(2 + 34/(-18)). Factor 11*y + 2*y**4 + 12*y**h + 24*y**2 + 13*y - 4*y + 6 + 0*y.
2*(y + 1)**3*(y + 3)
Let z(k) = -2*k**2 - 28*k + 32. Let v(n) = -n**2 - n - 2. Let y(c) = 4*v(c) - z(c). Find o, given that y(o) = 0.
2, 10
Let o(p) be the second derivative of -64/9*p**3 - 20/3*p**2 - 19/6*p**4 - 16*p + 0 - 3/10*p**5. Determine d so that o(d) = 0.
-5, -2/3
Let n = -3/257 + 557/25700. Let d(u) be the third derivative of -1/40*u**4 + 0*u**3 + 2*u**2 + 0 + 0*u - n*u**5. Let d(s) = 0. Calculate s.
-1, 0
Find s such that 4/15*s - 4/15*s**4 + 14/15*s**3 - 14/15*s**2 + 0 = 0.
0, 1/2, 1, 2
Factor 74*c + 50*c - 13411*c**2 - 64 + 13419*c**2.
4*(c + 16)*(2*c - 1)
Let n = 69 - 9. Factor 121 - n - 4*h**3 - 61 + 12*h**2.
-4*h**2*(h - 3)
Suppose 3396*j = 3388*j. Factor -3/4*s**4 - 3/4*s + 3/4*s**2 + j + 3/4*s**3.
-3*s*(s - 1)**2*(s + 1)/4
Let h(c) be the third derivative of 1/3*c**5 - 7/30*c**6 + 0*c + 8/3*c**4 + 10*c**2 + 8/3*c**3 + 0. What is f in h(f) = 0?
-1, -2/7, 2
Suppose 5*f - 5 = 0, 54*a - 3*f - 7 = 49*a. Let i(o) be the second derivative of -4/15*o**3 + 0 + 1/30*o**4 - 7*o + 4/5*o**a. Solve i(l) = 0 for l.
2
Let c(m) be the second derivative of -10/3*m**4 + 0 + 1/8*m**5 + 0*m**2 + 80/3*m**3 + 17*m. Factor c(p).
5*p*(p - 8)**2/2
Let z be -1*2/(-2) - (-75)/(-90). Suppose 3*x = -2*r + 18, -3*r = -4*x + 2 + 5. Factor -1/6*y + 0*y**r + 0 + 1/3*y**4 + z*y**5 - 1/3*y**2.
y*(y - 1)*(y + 1)**3/6
Let y be 5*(26/30 + (-16)/(-120)). Let p(l) be the first derivative of 2 + 0*l + 0*l**4 + 0*l**2 - l**3 + 3/5*l**y. Factor p(d).
3*d**2*(d - 1)*(d + 1)
Let h(b) = -b - 19. Let a be h(-21). Let o(k) be the third derivative of -1/60*k**5 + 0 + 0*k - 4*k**a + 1/24*k**4 - 1/120*k**6 + 1/6*k**3. Factor o(w).
-(w - 1)*(w + 1)**2
Let p(o) be the second derivative of 1/10*o**3 + 9/100*o**5 + 0*o**2 - 1/50*o**6 + 0 - 3/20*o**4 - o. Factor p(y).
-3*y*(y - 1)**3/5
Let c(f) be the first derivative of 5*f**6/6 - 5*f**5 + 35*f**4/4 + 5*f**3/3 - 20*f**2 + 20*f - 205. What is b in c(b) = 0?
-1, 1, 2
Let m(q) be the third derivative of q**7/63 + 7*q**6/60 + 2*q**5/9 - q**4/3 - 16*q**3/9 + 208*q**2. Determine a, given that m(a) = 0.
-2, -1, 4/5
Let a(c) be the third derivative of 5*c**8/84 - 3*c**7/14 + c**6/12 + 2*c**5/3 - 5*c**4/4 + 5*c**3/6 + 256*c**2. Suppose a(f) = 0. Calculate f.
-1, 1/4, 1
Let h(n) be the first derivative of 23 + 0*n + 2/27*n**3 + 2/9*n**2. Factor h(s).
2*s*(s + 2)/9
Factor -3/4*t**2 + 0*t + 3.
-3*(t - 2)*(t + 2)/4
Let f(w) be the second derivative of -w**6/3 + 4*w**5/5 + 2*w**4/3 - 82*w. Factor f(m).
-2*m**2*(m - 2)*(5*m + 2)
Factor 8/13 + 1226/13*z**2 + 1682/13*z**4 - 3132/13*z**3 + 216/13*z.
2*(z - 1)**2*(29*z + 2)**2/13
Let j(a) be the second derivative of a**5/135 - a**4/6 - 20*a**3/27 - a**2 - 21*a. Let v(p) be the first derivative of j(p). Factor v(h).
4*(h - 10)*(h + 1)/9
Let u(c) be the third derivative of c**5/120 - c**4/24 - 5*c**3/4 + 37*c**2 + 5. Suppose u(o) = 0. Calculate o.
-3, 5
Suppose -18*x - 5*x = -13*x + 8*x. Factor x - 6/7*u + 2/7*u**3 + 4/7*u**2.
2*u*(u - 1)*(u + 3)/7
Let q = 1604 - 1601. Let k(i) be the second derivative of 0*i**2 + 0 - 2/15*i**6 + 1/3*i**4 - 1/5*i**5 - 3*i + 2/3*i**q. Suppose k(s) = 0. Calculate s.
-1, 0, 1
Let r(p) be the second derivative of p**4/42 + 2*p**3/7 + 9*p**2/7 + 140*p. Determine s, given that r(s) = 0.
-3
Let t(f) be the third derivative of -f**5/100 - 27*f**4/40 - 6*f**2 - 3*f. Factor t(i).
-3*i*(i + 27)/5
Solve -6