**2 - 51*w + 622. Let r be z(20). Find g, given that 0 + u*g - 3/7*g**r = 0.
0
Let u(f) be the first derivative of 5*f**4/4 - 40*f**3/3 - 95*f**2/2 - 50*f - 365. Find v, given that u(v) = 0.
-1, 10
Suppose 69*c**2 - 22*c**4 - 218*c**2 + 76*c**2 + 69*c**2 - 26*c**3 = 0. What is c?
-1, -2/11, 0
Let v(l) be the first derivative of l**3/3 - 9*l**2/2 + 9*l + 2. Let z(m) = 18*m - m**2 + 1 - 25*m + 6*m. Let f(d) = 2*v(d) - 2*z(d). Factor f(j).
4*(j - 2)**2
Let z = -427/19 - -1585/57. Factor -2*m**2 - z*m - 8/3.
-2*(m + 2)*(3*m + 2)/3
Suppose -60*g + 332 = 127*g - 21*g. Determine b, given that -3/2*b - 1/2*b**4 + 0 - 7/2*b**g - 5/2*b**3 = 0.
-3, -1, 0
Let u be (0 + 1)*236/(-6 + 2). Let z = 296/5 + u. Factor -4/5 - z*l**2 + 4/5*l.
-(l - 2)**2/5
Suppose t - 4 = -0*t. Suppose -3*m = -t*a + 15 + 12, -a - 3*m + 18 = 0. Factor 24*p + p**2 + 0*p**3 + 9 - 3*p**3 + 2*p**2 - a*p.
-3*(p - 3)*(p + 1)**2
Let y = -189 + 195. Let w be (-10)/(-15) - 4/y. Determine z, given that 0 + 0*z + w*z**2 - 2/7*z**4 - 2/7*z**3 = 0.
-1, 0
Let a(k) = -3*k**2 - 8*k**2 + 61 - 21*k - 61. Let i(f) = -120*f**2 - 230*f. Let h(t) = -65*a(t) + 6*i(t). Factor h(o).
-5*o*(o + 3)
Determine u so that 5*u**4 + 5*u**2 + 10*u**3 - 11*u**2 + 2*u**2 - 11*u**2 = 0.
-3, 0, 1
Let o(a) be the second derivative of a**6/15 + a**5/10 - a**4 - 4*a**3/3 + 8*a**2 + a - 27. Factor o(m).
2*(m - 2)*(m - 1)*(m + 2)**2
Let c(n) = -4*n**4 + n**3 + 9*n**2 + 37*n + 32. Let z(a) = a**4 - a**3 + a**2 + a. Let t(j) = 2*c(j) + 6*z(j). Factor t(b).
-2*(b - 4)*(b + 2)**3
Let w = -587 + 5287/9. Let o(g) be the second derivative of 0*g**2 - w*g**4 + 0 + 1/10*g**5 - 7*g - 4/9*g**3 + 1/5*g**6. Suppose o(c) = 0. What is c?
-2/3, 0, 1
Let f(b) be the third derivative of -1/60*b**5 - 1/36*b**4 + 0*b + 1/840*b**7 + 19*b**2 + 1/4032*b**8 + 0*b**3 + 0 - 1/720*b**6. Determine t so that f(t) = 0.
-2, -1, 0, 2
Let x = 2650 + -7934/3. Factor 0*j**3 + 2/3*j**4 + 32/3 - x*j**2 + 0*j.
2*(j - 2)**2*(j + 2)**2/3
Let i(x) = x**3 - 6*x**2 + 12*x - 7. Let c be i(1). Determine d so that -1/4*d**3 + c*d**2 + 0*d - 1/4*d**4 + 0 = 0.
-1, 0
Let c(v) = 2*v**2 - 7*v - 6. Let j(h) = -h - 1. Let l(o) = c(o) - 6*j(o). Let w(d) = d**2 + d. Let k(m) = -2*l(m) + 6*w(m). Factor k(p).
2*p*(p + 4)
Let r(i) be the second derivative of 0 - 4*i**7 + 0*i**2 - 143/15*i**6 + 2*i**4 - 4/3*i**3 + 57/10*i**5 + 30*i. Determine w, given that r(w) = 0.
-2, -2/7, 0, 1/4, 1/3
Let t(b) = 5*b**3 - 885*b**2 + 52215*b - 1026909. Let j(k) = -5*k**3 + 885*k**2 - 52215*k + 1026907. Let f(x) = 7*j(x) + 6*t(x). Factor f(l).
-5*(l - 59)**3
Let x(c) = -c + 13. Let q(h) = 3*h - 40. Let l(m) = 4*q(m) + 14*x(m). Let t be l(10). Find u such that 4*u + 4*u - 9*u - 3 + 3*u**t + u**3 = 0.
-3, -1, 1
Let l(g) be the first derivative of g**6/24 - 7*g**5/20 + 10*g**3/3 - 2*g**2 - 12*g + 398. Let l(c) = 0. Calculate c.
-2, -1, 2, 6
Suppose 32/7*p - 30/7 - 2/7*p**2 = 0. Calculate p.
1, 15
Let d(p) be the third derivative of -15*p**2 - 1/10*p**6 - 7/20*p**5 + 1/2*p**3 + 0 + 0*p - 1/4*p**4. Solve d(r) = 0.
-1, 1/4
Let s be -4 + (8 - 132/12 - -7). Let -1/5*f**2 + 1/5*f + s = 0. What is f?
0, 1
Let i(a) = -a**2 - 6*a + 4. Suppose 2*u + 4 = -0*u - 2*c, -c = 2. Suppose u*p - 24 = 4*p. Let m(n) = 2*n**2 + 7*n - 4. Let x(d) = p*m(d) - 5*i(d). Factor x(r).
-(r + 2)*(7*r - 2)
Let k be 1/4*2*8. Suppose 0 = 3*c - 5*x + 5, -5*c + 2*x = -k*c + 3. Solve -c*v + 4*v + v - 3*v**2 + 3*v = 0 for v.
0, 1
Let i(m) = m**3 + m**2 + m + 3. Let q be i(0). Suppose -3*x - 8 = l, 0 = -q*l - 2*x - 4 + 15. Suppose 9*d**2 - 5*d**2 - d - l*d + 0*d = 0. Calculate d.
0, 2
Let q(p) = p**2 + 54*p + 11. Let k be q(-54). Solve k*z**4 - 5/2*z**5 + 1 + 16*z**2 - 13/2*z - 19*z**3 = 0 for z.
2/5, 1
Suppose -2*w = -3*x - 1148, 3*w - 430 = -4*x + 1292. Let r = 4027/7 - w. Solve r*l - 3/7*l**2 + 0 = 0.
0, 3
Let l be 4*((-22)/(-4) - 5). Factor 2/5*h**l + 6/5*h**4 - 2/5*h**5 - 6/5*h**3 + 0*h + 0.
-2*h**2*(h - 1)**3/5
Let d(u) be the first derivative of -2/3*u**3 + 13 + 0*u + 6/5*u**2 - 1/10*u**4. Factor d(r).
-2*r*(r - 1)*(r + 6)/5
Suppose -4*q - 42 = -q. Let k be 6/18 + q/(-3). Let -4*f**2 - k*f**3 + 3*f**4 + f**4 + f**3 - 5*f**4 = 0. What is f?
-2, 0
Factor 0 + 0*t - 3/8*t**4 + 39/4*t**3 - 75/8*t**2.
-3*t**2*(t - 25)*(t - 1)/8
Let y(b) be the second derivative of -b**6/195 + b**5/65 + 4*b**4/39 - 6*b**3/13 + 9*b**2/13 - 56*b. Find m, given that y(m) = 0.
-3, 1, 3
Let x = 357 - 355. Let q(s) be the first derivative of -2*s**3 - 5 - 3/4*s**4 + 0*s + 0*s**x. What is f in q(f) = 0?
-2, 0
Let a = -3749759/540 - -6944. Let p(h) be the third derivative of 1/108*h**4 + 0 - 1/135*h**5 + a*h**6 + 0*h - 7*h**2 + 0*h**3. Find g such that p(g) = 0.
0, 1
Let n = 168 - 165. Let k(l) be the second derivative of 1/70*l**5 + l + 0*l**n - 1/14*l**4 + 0 + 4/7*l**2. Solve k(g) = 0.
-1, 2
Let f(s) be the second derivative of -s**4/32 - 3*s**3/2 + 75*s**2/16 - 12*s. Find a such that f(a) = 0.
-25, 1
Let t = -542 + 546. Let a(g) be the first derivative of -2/3*g**6 + 0*g**2 + g**t + 0*g - 4/5*g**5 + 1 + 4/3*g**3. Let a(n) = 0. Calculate n.
-1, 0, 1
Factor -58/7*l + 40/7*l**2 - 6/7*l**3 - 24/7.
-2*(l - 4)*(l - 3)*(3*l + 1)/7
Factor -22/7*i + 2/7*i**2 + 48/7.
2*(i - 8)*(i - 3)/7
Let 12*b**2 + 599*b**4 + 64*b**3 - 1078*b**4 + 543*b**4 = 0. What is b?
-3/4, -1/4, 0
Suppose -2*v - 2*g + 0*g = 24, -v - 3*g = 20. Let u be ((-2)/v*0)/(-2). Factor -12*h + 4*h + 0 + 1 + u + 16*h**2.
(4*h - 1)**2
Let q(f) be the first derivative of -3/4*f**4 - 2/3*f**3 + 2*f + 3/2*f**2 - 13. Factor q(s).
-(s - 1)*(s + 1)*(3*s + 2)
Let r be (-1 + (-98)/(-70))*15. Let o(z) be the first derivative of 3 - 4*z**3 - 27/2*z**2 - r*z. Find v, given that o(v) = 0.
-2, -1/4
Let i = -1385 + 2773/2. Factor 3 + 3/2*o - i*o**2.
-3*(o - 2)*(o + 1)/2
Let j(s) be the third derivative of -s**7/420 - s**6/90 - s**5/60 - 3*s**3/2 - 5*s**2. Let b(m) be the first derivative of j(m). Factor b(x).
-2*x*(x + 1)**2
Let o(p) be the third derivative of p**7/504 - p**6/24 + 5*p**5/24 + 13*p**4/8 - 11*p**2. Let l(t) be the second derivative of o(t). Factor l(k).
5*(k - 5)*(k - 1)
Let o(i) be the first derivative of 9*i**5/35 + 38*i**4/21 + 10*i**3/3 + 12*i**2/7 - 49*i + 11. Let n(s) be the first derivative of o(s). Factor n(t).
4*(t + 1)*(t + 3)*(9*t + 2)/7
Let y(c) = 4*c**4 - 6*c**3 + 4*c**2 - 2*c + 2. Let s(b) = b**3 - b + 1. Let j(w) = 2*s(w) - y(w). Factor j(o).
-4*o**2*(o - 1)**2
Let b(h) be the third derivative of -h**9/3024 + h**8/1260 - h**7/2520 + h**3/2 - 4*h**2. Let m(n) be the first derivative of b(n). Let m(t) = 0. What is t?
0, 1/3, 1
Let b(v) be the third derivative of -v**7/42 - v**6/24 + v**5/4 + 5*v**4/24 - 5*v**3/3 + 3*v**2 + 17*v. Factor b(g).
-5*(g - 1)**2*(g + 1)*(g + 2)
Let a(c) be the second derivative of -c**3/6 - 2*c**2 + 2*c. Let n be a(-10). Factor n*k**2 - 6*k - 8*k**2 - 2*k**4 + 0*k**2 + 6*k**3 + 4.
-2*(k - 2)*(k - 1)**2*(k + 1)
Let p(s) be the second derivative of 3*s**5/20 + 3*s**4 - 14*s**3 + 13*s. Factor p(o).
3*o*(o - 2)*(o + 14)
Let y(i) be the second derivative of 1/15*i**6 + 1/5*i**5 - 1/3*i**4 - 15*i + 0 - 1/21*i**7 - 1/3*i**3 + i**2. Find f, given that y(f) = 0.
-1, 1
Let c(i) be the second derivative of -5/12*i**4 + 5/6*i**3 - 1/4*i**5 + 5/2*i**2 + 0 + 5*i. Factor c(k).
-5*(k - 1)*(k + 1)**2
Factor -96/11*p - 2/11*p**2 - 94/11.
-2*(p + 1)*(p + 47)/11
Let f = -434/81 - -19448/2511. Let a = 1834/93 - f. Solve 8/3*q**2 - 18*q**3 + 8/3*q + a*q**4 + 0 - 14/3*q**5 = 0 for q.
-2/7, 0, 1, 2
Let y = 2431 - 2431. Let m(x) be the first derivative of y*x + 3/2*x**4 - 40/3*x**3 - 10 - 49/3*x**6 - 4*x**2 + 28*x**5. Factor m(h).
-2*h*(h - 1)**2*(7*h + 2)**2
Let l(d) = -d - 6 + 6 - 8 - 1 - 2*d**2. Let w(i) = 3*i**2 + i + 14. Let z(b) = -8*l(b) - 5*w(b). What is f in z(f) = 0?
-2, -1
Let h(o) be the first derivative of o**3/3 + 17*o**2/2 + 16*o + 224. Factor h(k).
(k + 1)*(k + 16)
Let v be 8 + -8 + (-16)/(-4). Let i(t) be the first derivative of 0*t - 2*t**4 - t**5 - 4/3*t**3 - 1/6*t**6 + 0*t**2 - v. Factor i(s).
-s**2*(s + 1)*(s + 2)**2
Let f(a) = -a**2 + 8*a - 9. Let t be f(6). Let h be 26/8 - t/12. Suppose 4*i + i**2 + 4*i**h - 1 - 3*i - 3*i**3 - 2*i**3 = 0. Calculate i.
-1, 1
Find r, given that -122*r**4 + 27*r**5 + 620*r**2 - 127*r**4 - 35*r**2 + 659*r**3 - 200*r**3 - 150*r = 0.
-1, 0, 