+ m. Factor -3*z - p*z**2 - 5*z + 0*z - 4*z**3.
-4*z*(z + 1)*(z + 2)
Let s(b) be the third derivative of -b**5/150 + 7*b**4/120 + 2*b**3/15 + 7*b**2. Determine f, given that s(f) = 0.
-1/2, 4
Let a(m) = -m**2 - 8*m - 2. Let b be a(-6). Let i = b + -8. Suppose 12*q + 0*q + i*q**2 - 5*q**2 - 12 = 0. Calculate q.
2
Let w(z) = z**3 - 20*z**2 - 25*z - 87. Let s(o) = -5*o**2 - 6*o - 22. Let r(p) = 9*s(p) - 2*w(p). Let q(j) be the first derivative of r(j). Solve q(h) = 0.
-1, -2/3
Suppose 0 = 5*n - 4*n - o - 2, -2*o + 17 = 5*n. Let l(p) be the third derivative of 0*p + 1/10*p**4 + 0 - 1/100*p**5 - 2/5*p**n + 4*p**2. Solve l(r) = 0.
2
Let n = -3820/7 - -3826/7. Solve n*c**3 - 12/7*c + 0 + 2*c**2 = 0 for c.
-3, 0, 2/3
Determine a, given that 8/5 + 48/5*a + 22/5*a**2 = 0.
-2, -2/11
Let s be (-2)/(-2)*(0 + -1)*-17. Let -33*v - 4*v**4 - 32 + 4*v**3 + 0*v + 24*v**2 + s*v = 0. Calculate v.
-2, -1, 2
Let m(p) be the second derivative of -p**9/4032 - 31*p**3/6 + 31*p. Let t(u) be the second derivative of m(u). Suppose t(a) = 0. What is a?
0
Let s(w) be the second derivative of w**4/4 + 23*w**3/6 + 10*w**2 - 5*w. Let b(c) = -5*c**2 - 45*c - 40. Let q(l) = 2*b(l) + 5*s(l). Factor q(r).
5*(r + 1)*(r + 4)
Let z(i) = -i**3 + 96*i**2 - 95*i. Let c be z(95). Determine x, given that 2/3*x**2 + c*x - 2/9*x**3 + 0 = 0.
0, 3
Let o(u) = -1 + 4 - 6 - u**3 + 5*u + 4 + 4*u**2. Let s(v) = -v**2 - v - 1. Let d(z) = o(z) + s(z). Solve d(c) = 0.
-1, 0, 4
Factor 8/7*i**3 + 0*i + 0 - 2/7*i**4 - 6/7*i**2.
-2*i**2*(i - 3)*(i - 1)/7
Let f be (-45)/(-60) - (-53)/4. Let w = f + -12. Factor -5*l**w + 4*l**2 - 5*l**2 + 10*l**2.
4*l**2
Determine h, given that 0*h - 5*h - 32*h**2 + 8 - h + 30*h**2 = 0.
-4, 1
Let r(q) = 4*q**5 - 8*q**3 + 4*q**2 - 4*q - 2. Let z(k) = -k**5 + k**4 - k**3 + k**2 + 2*k + 1. Let f(l) = 2*r(l) + 4*z(l). Find p, given that f(p) = 0.
-3, 0, 1
Let g = -2704 + 24338/9. Solve 8/9 - 8/9*y + g*y**2 = 0 for y.
2
Let y(w) be the third derivative of -w**6/144 - 7*w**5/96 - 35*w**3/6 - w**2. Let t(d) be the first derivative of y(d). Determine v, given that t(v) = 0.
-7/2, 0
Suppose -5*u - 4 = 2*l - u, 0 = -4*l + 5*u + 44. Factor l*z**3 - 8*z**2 - 2*z**3 + 4*z**4 - 74*z + 74*z.
4*z**2*(z - 1)*(z + 2)
Factor -4*y**2 + 95*y - 3844 + 29*y + 25*y + 99*y.
-4*(y - 31)**2
Let c(t) be the first derivative of 35*t**3/3 - 80*t**2 - 195*t - 712. Factor c(z).
5*(z + 1)*(7*z - 39)
Let p(x) be the third derivative of 0*x**4 + 0 + 0*x**3 - 2/105*x**7 + 0*x**5 - 1/30*x**6 + 17*x**2 + 0*x. Solve p(j) = 0.
-1, 0
Let v(o) be the first derivative of -1/2*o + 1/24*o**4 - 3 - 1/18*o**3 - 5/12*o**2. Find b such that v(b) = 0.
-1, 3
Factor -597*m + 117*m**3 - 239*m + 6055 - 279 - 121*m**3 - 136*m**2.
-4*(m - 4)*(m + 19)**2
Let x(l) be the second derivative of -l**10/15120 + l**8/1120 - l**7/630 + 13*l**4/12 + 4*l. Let f(s) be the third derivative of x(s). Solve f(q) = 0 for q.
-2, 0, 1
Suppose 5*x**5 + 1189*x + 4 - 3*x**5 + 4*x**2 - 8*x**4 - 1199*x + 8*x**3 = 0. What is x?
-1, 1, 2
Let h be (((-56)/21)/(-2))/((-28)/(-24)). Suppose 0 - h*i**3 + 6/7*i**4 + 2/7*i**2 + 0*i = 0. Calculate i.
0, 1/3, 1
Find p, given that -26/15*p**2 - 2/15*p**3 + 4/15*p**4 - 4/5*p + 0 = 0.
-2, -1/2, 0, 3
Factor -1/2*t**2 - 6 - 13/2*t.
-(t + 1)*(t + 12)/2
Let b be (-2 - -2)/((-12)/(-6)). Suppose w + 0*c + 2*c = 37, b = -3*c. Let w*q + 44 + 20*q**2 - 100*q**3 - 28 + 27*q = 0. What is q?
-2/5, 1
Let b(o) = -10*o + 5. Let t be b(-6). Determine m, given that 100*m**5 - 82*m**3 + 15*m**3 - 10*m - 23*m**3 + t*m**4 - 65*m**2 = 0.
-1, -2/5, -1/4, 0, 1
Let k(p) = -7*p**2 + 8*p - 1. Let r(v) = v**3 + v**2 + v + 1. Let d be -52*2/(-28) + (-6)/(-21). Let w(j) = d*r(j) + 4*k(j). Factor w(o).
4*o*(o - 3)**2
Let d(c) be the second derivative of c**6/10 + 3*c**5/4 + 3*c**4/4 - 9*c**3/2 - 2*c + 62. Factor d(s).
3*s*(s - 1)*(s + 3)**2
Let y = -7336 + 51384/7. Suppose 130/7*m**2 - 148/7*m + y - 2*m**3 = 0. Calculate m.
2/7, 1, 8
Let c(o) = 120*o**3 + 375*o**2 + 285*o + 54. Let m(g) = 48*g**3 + 150*g**2 + 114*g + 22. Let l(z) = 5*c(z) - 12*m(z). Factor l(d).
3*(d + 1)*(d + 2)*(8*d + 1)
Suppose -5 = -b, 4*f + 4*b - 2*b = 22. Determine g so that 18*g**2 + f*g**2 + 0*g + 8*g - 3*g**4 + 6*g**3 + 4*g = 0.
-1, 0, 4
Let k be 69/21 - (-8)/(-28). Factor 16*f + 2 - 8 - 6 + k*f**2 - 7*f**2.
-4*(f - 3)*(f - 1)
Let h(u) be the second derivative of -5*u**7/126 + 4*u**6/9 - 2*u**5 + 40*u**4/9 - 40*u**3/9 - 151*u. Determine l, given that h(l) = 0.
0, 2
Let c(d) = -d**2 - 8*d. Let q = 15 + -21. Let l be c(q). What is x in -6*x**2 + l*x**4 - x**5 + 39*x - 12*x**3 - 2*x**5 - 24*x - 6 = 0?
-1, 1, 2
Let t = -2402/13 - -23918/65. Let i = -183 + t. What is h in i*h - 1/5*h**3 + 3/5*h**2 - 1/5*h**4 - 2/5 = 0?
-2, -1, 1
Let d be 2*(99/44)/(2/4). Find a, given that -a**5 + 2 - d + 7 - a + 2*a**3 = 0.
-1, 0, 1
Let t(w) = 4*w**5 - 8*w**4 - 80*w**3 + 36*w**2 + 28*w + 4. Let j(a) = a**5 + a**4 + a**3 + 2*a - 1. Let h(p) = 4*j(p) + t(p). Solve h(v) = 0.
-3, -1/2, 0, 1, 3
Let x = -275 + 279. Let c(p) be the third derivative of 0 - 1/4*p**x + 0*p - 3/2*p**3 - 5*p**2 - 1/60*p**5. Factor c(u).
-(u + 3)**2
Let i be (69/138)/((-2)/(-1)). Factor 0*a**2 - 1/2*a**3 + 1/2*a - 1/4 + i*a**4.
(a - 1)**3*(a + 1)/4
Let s(z) be the first derivative of -2/35*z**5 - 48 - 4/7*z**2 + 2/7*z**3 + 1/7*z**4 - 8/7*z. Suppose s(k) = 0. What is k?
-1, 2
Let l(f) = -f**3 + 32*f**2 - 34*f + 97. Let s be l(31). Let c(t) be the first derivative of 1/18*t**s + 2 - 2/27*t**3 + 0*t + 2/45*t**5 - 1/9*t**2. Factor c(m).
2*m*(m - 1)*(m + 1)**2/9
Let x(d) = -d**2 - 7*d + 228. Let o be x(-19). Factor 0*f + 0*f**2 + 2/5*f**3 + o.
2*f**3/5
Let y(w) = 3*w**2 + 5*w + 2. Suppose 0 = 3*g - 10 - 2. Let r(h) = -3*h**2 - 6*h - 3. Let t(n) = g*r(n) + 3*y(n). Solve t(b) = 0 for b.
-2, -1
Let o be 18/15 + (-5)/(125/30). Let j(y) be the second derivative of -1/4*y**3 + o - 1/24*y**4 + 0*y**2 + 11*y. Factor j(x).
-x*(x + 3)/2
Let s(b) be the first derivative of 19 + 4*b + 1/3*b**3 - 2*b**2. Determine t so that s(t) = 0.
2
Find c such that 62*c - 3*c**2 - 9*c**2 - 65*c - 9*c**3 = 0.
-1, -1/3, 0
Let a = 2531/1290 + -8/129. Let l = 21/10 - a. Suppose -4/5*g - 4/5 - l*g**2 = 0. What is g?
-2
Suppose -g + 20 = 7*c - 3*c, -3*g = -3*c. What is b in -3*b**g - 7/4*b**5 + 7/2*b**2 - 1/2 + b**3 + 3/4*b = 0?
-1, 2/7, 1
Suppose 14*d - 12*d = 16. Let p be -3 + -1 + (d - 1). Let 0 - 1/4*i**2 + 1/4*i**p + 0*i = 0. What is i?
0, 1
Let q(n) = -n**3 + 9*n**2 - 10*n + 16. Let f be q(8). Suppose f = 2*v - 5 - 1. Determine l, given that 18/7*l**v - 22/7*l**2 + 4/7*l + 0 = 0.
0, 2/9, 1
Let k(v) = -v**3 - 7*v**2 + 15. Let t be k(-7). Suppose -u - 2*u + t = 0. Factor -7*z**4 + z**u + 5*z**4 + 3*z**4.
z**4*(z + 1)
Let u(h) be the third derivative of 2*h**7/945 + h**6/540 + h**2 + 17. Solve u(c) = 0 for c.
-1/2, 0
Factor 48*m**3 + 14*m**4 + 176*m + 168*m**2 - 9*m**4 + 60 - 3*m**4 - 6*m**4.
-4*(m - 15)*(m + 1)**3
Let k(m) = 39*m**4 + 6*m**3. Let l(s) = -40*s**4 - 3*s**3. Let a(u) = 5*k(u) + 6*l(u). Factor a(i).
-3*i**3*(15*i - 4)
Let 0*f**2 - 1/4*f**5 + 0 + 0*f - f**4 + 0*f**3 = 0. What is f?
-4, 0
Let x(w) be the first derivative of 16/3*w**2 - 4*w - 5/9*w**3 - 13. Factor x(q).
-(q - 6)*(5*q - 2)/3
Let m(f) be the second derivative of -f**10/60480 + f**8/6720 - f**6/1440 + 7*f**4/2 - f - 3. Let p(c) be the third derivative of m(c). Solve p(v) = 0.
-1, 0, 1
Find m such that 3*m**4 + 18 + 38*m**2 + 15*m - 116*m**2 - 3*m**3 - 12*m**3 + 26*m**2 + 31*m**2 = 0.
-1, 1, 6
Let c(a) be the first derivative of -4*a**4 - 19 + 0*a**2 - 10/21*a**6 - 88/35*a**5 - 32/21*a**3 + 0*a. Factor c(b).
-4*b**2*(b + 2)**2*(5*b + 2)/7
Suppose 91*c - 26 = 78*c. Solve 3/5*i**c - 3/5*i**3 + 24/5*i - 36/5 = 0.
-3, 2
Let w(h) = 2*h**2 - 115*h + 795. Let y be w(8). Let 0 + 2/3*d**y + 8/15*d + 2/15*d**4 + 16/15*d**2 = 0. Calculate d.
-2, -1, 0
Let f(z) be the second derivative of -z**7/14 + 6*z**6/5 - 99*z**5/20 - 19*z**4/2 + 66*z**3 - 108*z**2 + 5*z + 22. Find r, given that f(r) = 0.
-2, 1, 6
Let u(j) be the third derivative of -j**8/70560 + j**7/1764 - 5*j**6/504 - j**5/30 - 13*j**2. Let n(i) be the third derivative of u(i). Solve n(g) = 0.
5
Let n = -7265/14 + 3643/7. Factor -3/2*o**4 + 0*o**2 - 3*o**3 + 3*o + n.
-3*(o - 1)*(o + 1)**3/2
Let f(l) be the second derivative of 