*z**4 - 12*z**4 + 2 + 0*z**3 - 9*z - 3*z**5 + f*z**2.
(z - 1)**3*(z + 1)*(5*z - 2)
Solve -1/4*m**3 - 1/4*m**4 + 0 + 3*m**2 + 0*m = 0.
-4, 0, 3
Let q(w) be the third derivative of 2/105*w**7 + 0*w**3 - 1/4*w**4 - 1/168*w**8 + 0*w + 9*w**2 - 1/15*w**5 + 0 + 1/15*w**6. Suppose q(o) = 0. Calculate o.
-1, 0, 1, 3
Let p(x) be the second derivative of -x**10/5880 + x**9/4410 + x**8/588 + 4*x**7/2205 - 5*x**4/4 + 17*x. Let c(g) be the third derivative of p(g). Factor c(z).
-4*z**2*(z - 2)*(3*z + 2)**2/7
Let n = -1691 + 1815. Let k = -10/57 - -54/19. Solve 20*b**5 - 254/3*b**4 - 242/3*b**2 + n*b**3 + 24*b - k = 0 for b.
1/3, 2/5, 1/2, 1, 2
Let x be -4 + 1 + 3 - -4. Let m(p) be the second derivative of 0 + 1/66*p**x - 1/33*p**3 + 3*p - 2/11*p**2. Solve m(r) = 0 for r.
-1, 2
Let q(a) = 4*a - 14*a + 4*a + 15*a**2 + 18 + 12*a. Let l be 18*(-2)/(2*-1). Let t(y) = -y**2 - 1. Let b(r) = l*t(r) + q(r). Solve b(f) = 0.
0, 2
Let z = 313 + -117. Determine a, given that -56*a**4 - 1 + 275*a**2 - 219*a**2 - z*a + 4*a**5 + 192*a**3 + 1 = 0.
-1, 0, 1, 7
Suppose -21*m = 419 - 20. Let r = 61/3 + m. Factor 2/3 - 2/3*h - 2/3*h**5 + 2/3*h**4 + r*h**3 - 4/3*h**2.
-2*(h - 1)**3*(h + 1)**2/3
Let r = 1960 - 1960. Let l(g) be the third derivative of 1/75*g**5 + r*g + 8*g**2 + 0 + 6/5*g**3 - 1/5*g**4. Solve l(q) = 0 for q.
3
Let c(l) be the second derivative of -1/4*l**2 - 1/24*l**4 + 9*l + 0 - 1/6*l**3. Factor c(k).
-(k + 1)**2/2
Solve -68*n - 14 - 28*n**3 + 18*n**2 - 61*n**2 - 4*n**4 - 10 - 25*n**2 = 0.
-3, -2, -1
Let z(n) = -2*n**3 + n**2 - 12*n - 30. Let j(x) = x**3 + x**2 - x + 4. Let v(o) = 3*j(o) + z(o). Find l, given that v(l) = 0.
-6, -1, 3
Let s = 13662/5 - 2718. Suppose 0*p - 28 = -14*p. Factor 0 + 162/5*l**3 + 8/5*l - s*l**p.
2*l*(9*l - 2)**2/5
Let f(d) be the second derivative of -d**4/48 + 5*d**3/4 - 225*d**2/8 + 103*d. Factor f(i).
-(i - 15)**2/4
Let u = 1026 - 1024. Let g(j) be the first derivative of 0*j + j**u + j**3 + 5 + 3/8*j**4 + 1/20*j**5. Factor g(r).
r*(r + 2)**3/4
Let r(t) be the first derivative of -2*t**5/5 - 21*t**4/16 - 5*t**3/4 + t**2/8 + 3*t/4 - 93. Determine g, given that r(g) = 0.
-1, 3/8
Let p be 2426/18 + (-1 - (1 - 3)). Let f = 136 - p. Factor -8/9*k**3 + 0*k**2 + 0 + f*k.
-2*k*(2*k - 1)*(2*k + 1)/9
Let v = -719/2 - -360. Let g = 3 + -1. Factor 0 + 1/2*x**g + v*x.
x*(x + 1)/2
Let z(d) = 18*d**2 + 24*d + 25. Let y(c) = 10*c**2 + 12*c + 12. Let b(m) = 7*y(m) - 4*z(m). Factor b(r).
-2*(r + 2)*(r + 4)
Let r(z) be the second derivative of z**5/10 + 23*z**4/6 - 8*z**3 + 176*z + 2. What is h in r(h) = 0?
-24, 0, 1
Suppose 9*n - 346 = -337. Let b(x) be the first derivative of 0*x**2 - 4/3*x**3 - n + 0*x. Determine w so that b(w) = 0.
0
Let n(t) = -t**2 + 7*t - 6. Let h be n(3). Suppose i + h = 4*i. Factor -i + 14*u - 12*u**2 + 5 - 5*u.
-3*(u - 1)*(4*u + 1)
Let g(f) be the third derivative of -5*f**8/1008 - 13*f**7/315 - f**6/72 + 54*f**2. Find y such that g(y) = 0.
-5, -1/5, 0
Let a = -233 - -236. Let h(k) = -k**3 + 6*k**2 - 4*k - 1. Let w be h(5). Factor -9*f**3 + a*f**2 + 9*f + 2*f**w + 5*f**4 + 0*f**4 - 6 - 4*f**4.
3*(f - 2)*(f - 1)**2*(f + 1)
Let s(z) be the second derivative of z**5/100 + z**4/12 - z**3/5 + 3*z - 2. Factor s(j).
j*(j - 1)*(j + 6)/5
Let g(m) be the third derivative of -15*m**2 + 0*m**3 - 2/105*m**5 + 1/1176*m**8 - 1/21*m**4 + 4/735*m**7 + 0*m + 1/140*m**6 + 0. Suppose g(v) = 0. Calculate v.
-2, -1, 0, 1
Let h(q) be the third derivative of 1/12*q**4 + 0*q**3 + 7*q**2 + 49/480*q**6 + 0 + 7/40*q**5 + 0*q. Determine f so that h(f) = 0.
-4/7, -2/7, 0
Factor 16*t**2 - 51 - 2*t**4 + 26 - 7.
-2*(t - 2)**2*(t + 2)**2
Let w(u) be the first derivative of u**4/10 + 4*u**3/5 - 16*u**2/5 - 339. Find c, given that w(c) = 0.
-8, 0, 2
Let h(k) be the second derivative of 0 + 0*k**5 + 2/45*k**6 + 2*k + 0*k**2 - 1/9*k**4 - 1/9*k**3 + 1/63*k**7. Solve h(w) = 0 for w.
-1, 0, 1
Factor -33/5*f - 72/5 - 3/5*f**2.
-3*(f + 3)*(f + 8)/5
Suppose a = -23 + 25. Suppose -5*w + 3*w = -a, -3*g = 5*w - 14. Factor 0*q**2 + 0 - 4/7*q**g + 0*q + 2*q**4.
2*q**3*(7*q - 2)/7
Let k = 0 + 4. Suppose l**2 + l**4 + l**3 - l**5 - k*l**2 + 2*l**2 + 0*l**4 = 0. Calculate l.
-1, 0, 1
Suppose -18 = 3*n + 2*t - 46, 0 = 5*n + 2*t - 40. What is l in 4*l**3 + 56/9*l**2 - n*l**5 + 0 - 6*l**4 + 16/9*l = 0?
-2/3, 0, 1
Let r = -10934/345 - -732/23. Factor -2/15*f**2 + 2/15*f**4 + 2/15*f**5 - r*f**3 + 0*f + 0.
2*f**2*(f - 1)*(f + 1)**2/15
Let t(o) = 4*o - 56. Let y be t(14). Suppose y = -l + 3, -m = l - 5. Factor -3/4*b**m + 9/2*b - 27/4.
-3*(b - 3)**2/4
Let w be (-13)/78 - (0 - 1/6). Solve -7 - 2*y - y + y**2 - 3*y + w*y = 0.
-1, 7
Suppose u - 32 = -30. Suppose -u*v = 2*z - 7*v, 2*z = 3*v. Factor -2/3*c**2 + z + 0*c.
-2*c**2/3
Let z be ((-7)/336)/(3/(-2)). Let u(d) be the third derivative of 0*d + 0*d**3 - 1/180*d**5 - z*d**4 + 0 + 2*d**2. Let u(k) = 0. Calculate k.
-1, 0
Let x = -4 + 8. Let c = 9534 - 9532. Factor -4/7*q + 8/7*q**3 - 2/7*q**c + 0 + 6/7*q**x.
2*q*(q + 1)**2*(3*q - 2)/7
Let a be -5 + 3 + -6 + 98/12. Let r(c) be the first derivative of -a*c - 10 - 1/6*c**2 + 1/6*c**3. Factor r(n).
(n - 1)*(3*n + 1)/6
Let j = -2 + 6. Factor 2*l**4 - l**4 - 3*l + 3*l**3 - 3*l**2 + 2*l**j.
3*l*(l - 1)*(l + 1)**2
Let j(i) be the second derivative of 0*i**3 - 9*i + 0*i**2 + 2/105*i**6 + 0 + 1/42*i**4 + 9/140*i**5. Find a, given that j(a) = 0.
-2, -1/4, 0
Let k be (-42)/(-126)*3/8. Let i(q) be the first derivative of 5 - 1/4*q**2 + k*q**4 + 0*q**3 + 0*q. Factor i(z).
z*(z - 1)*(z + 1)/2
Factor -398 + 119 + 126*l**2 + 110 + 4*l**3 + 107 + 60*l.
2*(l + 1)*(l + 31)*(2*l - 1)
Let i(x) be the second derivative of -x**5/70 - 6*x**4/7 + 76*x**3/21 - 5*x + 7. Find j, given that i(j) = 0.
-38, 0, 2
Let v = -6219 + 12441/2. Factor -6*z + 6*z**2 + 0 - v*z**3.
-3*z*(z - 2)**2/2
Factor -55*f + 112*f - 8*f**2 - 18*f**3 - 3*f**5 + 5*f**5 - 33*f.
2*f*(f - 3)*(f - 1)*(f + 2)**2
Let h = 5/7034 + 548627/35170. Let 3/5*u**2 + 507/5 + h*u = 0. Calculate u.
-13
Let l(k) be the second derivative of k**5/50 - k**4/30 - 3*k**3/5 + 9*k**2/5 - 78*k. Factor l(a).
2*(a - 3)*(a - 1)*(a + 3)/5
Let u(g) be the second derivative of 2*g**7/21 + 14*g**6/75 - 3*g**5/25 - 7*g**4/15 - 4*g**3/15 - g - 112. Let u(o) = 0. Calculate o.
-1, -2/5, 0, 1
Let n(j) be the third derivative of 1/15*j**5 + 0*j**3 - 3*j**2 - 1/30*j**6 + 1/6*j**4 - 2/105*j**7 + 0*j + 0. Find s such that n(s) = 0.
-1, 0, 1
Let p(b) = -b**2 + 11*b - 25. Let n be p(7). Suppose -4*a - n*l - 12 = l, 5*a = -2*l. Determine r, given that -1/5 - 1/5*r**3 - 3/5*r**a - 3/5*r = 0.
-1
Let o be 2/8 + (-47)/(-4). Suppose o + 0 = 4*i. Let 6*b**3 + 3 - 3*b + i*b**2 - 8*b**2 - 3*b**5 + 3*b**4 - b**2 = 0. Calculate b.
-1, 1
Let k(r) be the second derivative of -r**6/1620 + r**5/135 - r**4/36 + 3*r**3/2 + 21*r. Let q(a) be the second derivative of k(a). Solve q(c) = 0.
1, 3
Let n = 27826/105 + -265. Let z(t) be the third derivative of 0 - 3*t**2 + 0*t + 0*t**4 + 0*t**3 + 1/30*t**5 + 1/336*t**8 - 1/120*t**6 - n*t**7. Factor z(m).
m**2*(m - 2)*(m - 1)*(m + 1)
Suppose -q - 15 = -4*k - 2, 0 = 2*k - 4*q - 24. Solve 18*s**3 + 9*s - 9*s**2 - 2 - 15*s**3 - 1 + 0*s**k = 0 for s.
1
Factor 17/3*l**3 - 7/3*l**4 + 0 - 3*l**2 - 1/3*l**5 + 0*l.
-l**2*(l - 1)**2*(l + 9)/3
Let x(r) be the first derivative of 18*r + 2/3*r**3 + 6*r**2 + 3. Factor x(q).
2*(q + 3)**2
Find z, given that 10*z**2 + 7 + 4 + 12*z**3 - 15 - 7*z + z = 0.
-1, -1/2, 2/3
Let k(v) be the third derivative of -v**7/210 - v**6/30 + 12*v**2 - 10*v. Find q, given that k(q) = 0.
-4, 0
Let x(a) be the first derivative of a**7/147 - a**6/105 + 27*a - 30. Let r(h) be the first derivative of x(h). Let r(y) = 0. Calculate y.
0, 1
Let n = 7349/5 + -1469. Factor -h**2 + n - 8/5*h.
-(h + 2)*(5*h - 2)/5
Let -1/6*x**4 + 0*x + 0*x**2 + 0 - 1/3*x**3 = 0. What is x?
-2, 0
Let q(f) be the second derivative of -1/12*f**4 - 25*f + 0*f**2 + 1/3*f**3 + 0. Determine n so that q(n) = 0.
0, 2
Let z(c) = -5*c - 3. Let a be z(5). Let d be (a/(-12))/((-3)/(-18)). Suppose 5*k + 15*k**3 + 3*k**4 + 13*k**2 + d*k**2 + 6 + 4*k + 12*k = 0. Calculate k.
-2, -1
Let m = 61 - 56. Suppose -3*x + 4*q + 32 = 0, -2*q + 1 = 2*x + 3. Let 3*i**5 - 2*i**3 - 5*i**m + x*i**5 = 0. What is i?
-1, 0, 1
Let w(f) be the first derivative of 21*f**4/4 - 9*f**3 - 18*f**2 + 12*f - 