pose -12*z - m*z**2 - 108 = 0. Calculate z.
-18
Let c(b) be the first derivative of 1/66*b**4 + 10 + 8/33*b**3 - 9/11*b**2 + 29*b. Let n(l) be the first derivative of c(l). Let n(a) = 0. What is a?
-9, 1
Factor -3452/7*r - 4/7*r**3 + 1724/7 + 1732/7*r**2.
-4*(r - 431)*(r - 1)**2/7
Find p, given that -68/3*p - 2/3*p**2 - 128/3 = 0.
-32, -2
Factor 0 - 475/4*o**3 + 1955/2*o**2 - 860*o + 5/4*o**4.
5*o*(o - 86)*(o - 8)*(o - 1)/4
Factor 128/9*j**4 + 98/9 - 1540/9*j + 1760/9*j**3 + 1942/3*j**2.
2*(j + 7)**2*(8*j - 1)**2/9
Let i(u) be the first derivative of -33*u**3 + 8*u + 19*u**3 - 22*u**2 + 6*u**3 - 77. Factor i(w).
-4*(w + 2)*(6*w - 1)
Let f = -124343/22 - -62188/11. Solve 0 + 9/2*v**2 + 15/2*v**3 - 9/2*v**4 - 6*v - f*v**5 = 0.
-4, -1, 0, 1
Factor 1461600*y**2 + 5334336 + 764/3*y**4 + 98288/3*y**3 + 2/3*y**5 + 5461344*y.
2*(y + 2)**2*(y + 126)**3/3
Let h(f) be the second derivative of f**4/8 - 143*f**3/2 + 855*f**2/4 - 3255*f. Let h(r) = 0. What is r?
1, 285
Let w(g) be the first derivative of g**7/1575 + g**6/150 + 11*g**5/450 + g**4/30 - 57*g**2 - 92. Let t(p) be the second derivative of w(p). Factor t(n).
2*n*(n + 1)*(n + 2)*(n + 3)/15
Let p(c) be the first derivative of -c**6/33 + 2*c**5/5 - c**4/22 - 302*c**3/33 - 250*c**2/11 - 224*c/11 + 3211. Find v such that p(v) = 0.
-2, -1, 7, 8
Suppose -5*c - 11 = -3*j, 0 = -2*c - 29 + 27. Factor 8*a**j + 56*a**3 - 13*a**5 + 9*a**5 + 8*a**4 - 16 - 24*a**3 - 28*a.
-4*(a - 4)*(a - 1)*(a + 1)**3
Let m(w) be the first derivative of w**6/15 - 18*w**5/25 + 9*w**4/5 + 8*w**3/15 - 24*w**2/5 + 1179. Solve m(r) = 0.
-1, 0, 2, 6
Suppose -23*q + 18*q - 5 = 0. Let k be (9/(-27))/(q/6). Find h such that 37*h**2 + 22*h**3 - 25*h**2 - 26*h**4 - 18*h**k + 10*h**5 = 0.
0, 3/5, 1
Let z(f) be the first derivative of -5*f**4/4 + 40*f**3 + 270*f**2 + 560*f - 4084. Factor z(p).
-5*(p - 28)*(p + 2)**2
Let l = 892 - 885. Let z be (20/(l + 3))/9. Determine n, given that -4/9 + 2/9*n**3 + 2/3*n**2 - z*n - 2/9*n**4 = 0.
-1, 1, 2
Let o = 157/76 + -10671/38. Let q = o + 280. Determine f, given that -q*f + 3*f**2 - 1/2 = 0.
-1/4, 2/3
Let a(x) be the first derivative of -x**4/18 + 2*x**3/9 + x**2/9 - 2*x/3 - 574. Solve a(o) = 0 for o.
-1, 1, 3
Let h(y) = -22*y**3 - 1282*y**2 + 5164*y - 5150. Let t(f) = -4*f**3 + 2*f**2 + 2*f - 1. Let o(d) = 2*h(d) - 12*t(d). Factor o(b).
4*(b - 643)*(b - 2)**2
Let c be ((-18)/24*4)/(-1). Let s(l) be the second derivative of 0 + 1/20*l**5 + 1/12*l**4 + 0*l**2 + 0*l**c + 1/120*l**6 - 5*l. Determine p so that s(p) = 0.
-2, 0
Determine k, given that 205*k + 2*k**2 - 56*k - 228 + 77*k = 0.
-114, 1
Let d(x) = x**3 + 29*x**2 - 61*x + 15. Let c be d(-31). Let f be ((-33)/308)/(2*9/c). Factor f - 4/21*k + 2/21*k**2.
2*(k - 1)**2/21
Factor -8*s + 4*s**2 + 195 + 135 - 650.
4*(s - 10)*(s + 8)
Let z be (-12)/(1 - 7) - (-2)/2. Determine f, given that 40*f**3 - 20*f**4 + z*f**5 - 22*f**4 + 2*f**5 + 12*f**4 = 0.
0, 2, 4
Let i(p) be the second derivative of -p**6/60 + 3*p**5/10 + p**4/2 - 32*p**3/3 - 48*p**2 - 10464*p. Find n, given that i(n) = 0.
-2, 4, 12
Let x(l) be the first derivative of -2*l**6 - 432*l**5/5 + 441*l**4/4 - 37*l**3 + 666. Factor x(t).
-3*t**2*(t + 37)*(2*t - 1)**2
Let v(p) be the first derivative of p**8/1176 - p**7/735 - p**6/84 - p**5/70 + 73*p**2/2 + 14. Let k(r) be the second derivative of v(r). Factor k(f).
2*f**2*(f - 3)*(f + 1)**2/7
Let 506/7*g + 2/7*g**3 - 36 - 256/7*g**2 = 0. Calculate g.
1, 126
Suppose -400600*a + 60000 + 50/3*a**4 - 20030/3*a**3 + 4024009/6*a**2 = 0. What is a?
3/10, 200
Let f be (2 + (-354)/15)/((-4287)/280084). Let -f*x**4 - 16/5 - 1828/5*x**2 - 80*x + 1680*x**3 = 0. What is x?
-1/14, 2/3
Let h be (60/(-24))/((-2)/(-8)). Let u be (h/18)/(45/(-18)). Factor u*q**2 - 10/9*q + 4/3.
2*(q - 3)*(q - 2)/9
Let w(t) be the first derivative of t**6/3 + 6*t**5 + 63*t**4/2 + 170*t**3/3 + 36*t**2 - 29. Suppose w(g) = 0. Calculate g.
-9, -4, -1, 0
Let h(w) be the third derivative of w**8/840 + 13*w**7/525 + 11*w**6/75 + 16*w**5/75 - w**2 - 56*w - 3. Solve h(y) = 0 for y.
-8, -4, -1, 0
Solve 817 + 911 + 132*f**3 + 71*f**4 - 48*f**4 + 76*f**4 - 3*f**5 - 3240*f + 2292*f**2 - 870*f**3 = 0 for f.
2, 3, 24
Let z(q) be the first derivative of -129 + 42*q + q**3 + 45/2*q**2. Let z(s) = 0. What is s?
-14, -1
Let s(a) be the first derivative of a**6/6 + 39*a**5/5 - 42*a**4 + 172*a**3/3 - 965. Find i such that s(i) = 0.
-43, 0, 2
Let i(v) = -6 - 7 + 9 + v. Let l be i(8). Find s such that 9 - 3*s**4 - 8*s - 3 - 4*s**2 + 8*s**3 + s**l = 0.
-1, 1, 3
Let g = 96945 + -96935. Factor g*d - 1/3*d**2 - 75.
-(d - 15)**2/3
Let y(u) = 2*u**2 + 12*u - 11. Let p be y(1). Suppose 5*b - p*q - 6 = 0, q = b + 2*b - 6. Solve -2*n**b + 12/5*n**2 - 12/5 + 2*n = 0.
-1, 1, 6/5
Let f = 1839 - 14709/8. Let i(b) be the first derivative of -15 + 3/8*b + 3/16*b**4 - f*b**2 + 0*b**3 - 3/40*b**5. Find s, given that i(s) = 0.
-1, 1
Suppose 18*h**2 - 13*h**3 + 12*h**5 + 6*h**2 - 144*h + 121*h**5 + 26*h**4 - 131*h**5 + 105*h**3 = 0. What is h?
-6, -2, 0, 1
Let c(p) be the first derivative of 2*p**7/525 + p**6/30 + p**5/25 - 3*p**4/10 - 17*p**2/2 + 2*p + 56. Let q(o) be the second derivative of c(o). Factor q(y).
4*y*(y - 1)*(y + 3)**2/5
Let u(o) be the first derivative of -o**6/480 + o**4/32 - o**3/12 + 13*o**2/2 + 2*o + 86. Let y(m) be the second derivative of u(m). Factor y(t).
-(t - 1)**2*(t + 2)/4
Let n(o) be the first derivative of 3*o**4/2 - 70*o**3/3 + 52*o**2 - 40*o - 1315. What is k in n(k) = 0?
2/3, 1, 10
Let p = 7485 - 7485. Let y(x) be the second derivative of -1/3*x**3 + 16*x - 1/12*x**4 + 0*x**2 + p. Determine h, given that y(h) = 0.
-2, 0
Suppose 15*f + 4*w - 2078 = 16*f, 3*w - 10305 = 5*f. Let y be f/(-210) - (-1 - -8). Factor 6/5*j**5 + 6/5*j**2 + 6/5*j**3 + 0 - y*j**4 - 4/5*j.
2*j*(j - 1)**3*(3*j + 2)/5
Factor -42*p**3 + 5*p**4 - 114835*p**2 + 115735*p**2 - 98*p**3.
5*p**2*(p - 18)*(p - 10)
Let a(y) be the first derivative of -8/3*y**3 - 2/15*y**5 - y**4 - 2*y - 13 - 10/3*y**2. Factor a(d).
-2*(d + 1)**3*(d + 3)/3
Let v(s) be the third derivative of s**6/120 + 49*s**5/20 + 234*s**4 + 2592*s**3 - 4*s**2 + 222. Determine y, given that v(y) = 0.
-72, -3
Let o(h) be the first derivative of -1/32*h**4 - 1/8*h**3 + 3/8*h**2 - 86 + h. Factor o(p).
-(p - 2)*(p + 1)*(p + 4)/8
Let n(v) be the second derivative of -2*v**7/7 + 2*v**6/3 + 11*v**5/5 + v**4 - 46*v - 2. Let n(u) = 0. What is u?
-1, -1/3, 0, 3
Let w(z) be the third derivative of -z**6/1440 + z**5/480 + 19*z**3 - 32*z**2. Let v(s) be the first derivative of w(s). Determine n, given that v(n) = 0.
0, 1
Let z(h) be the third derivative of -h**7/210 - h**6/20 + 2*h**5/5 - 13*h**4/12 + 3*h**3/2 - 4*h**2 - 90*h. Find b, given that z(b) = 0.
-9, 1
Suppose -k = 4*y - 14, 812*k + 26 = 4*y + 815*k. What is p in -2/9*p**5 - 8/9*p**y + 8/9*p - 2/3*p**3 + 8/9*p**4 + 0 = 0?
-1, 0, 1, 2
Find p, given that -4*p**3 - 64*p**2 - 56448 - 716*p**2 + 100*p**2 - 29568*p = 0.
-84, -2
Suppose 144/11*w**4 + 0*w**2 + 32/11*w**5 + 0 - 574/11*w**3 + 686/11*w = 0. Calculate w.
-7, -1, 0, 7/4
Factor 3*k**3 - 90 - 39 - 285 + 54*k**2 - 363*k.
3*(k - 6)*(k + 1)*(k + 23)
Let c(o) = o**2 - 9*o - 127. Let h be c(18). Let f be 4/(-98)*h/(-15). Factor -2/21*m + 0 - f*m**3 + 4/21*m**2.
-2*m*(m - 1)**2/21
Let a be -105*2/(-336)*(-2 - -28). Factor 0 - a*h + 5/4*h**2.
5*h*(h - 13)/4
Let p = 58 - 29. Factor -14*w**2 - 5 - p*w**2 + 0*w**3 + 15*w**3 + 68*w**2 + 5*w.
5*(w + 1)**2*(3*w - 1)
Let l be (2 - 1)*4 - (2782/468 + -2). Let j(i) be the second derivative of -5/9*i**3 + 0 - 18*i + 1/30*i**5 - l*i**4 - i**2. Factor j(b).
2*(b - 3)*(b + 1)**2/3
Let h(v) be the first derivative of v**4/6 - 22*v**3/9 + 8*v**2 + 24*v - 1257. Solve h(f) = 0.
-1, 6
Let l be (-10810)/(-9050) + 6 + -6. Let r = l - -1/181. Solve -3/5*c**2 - r + 9/5*c = 0 for c.
1, 2
Find v, given that 998/5*v + 44 + 36/5*v**2 = 0.
-55/2, -2/9
Let v = 1063/2198 + 18/1099. Let k(a) be the first derivative of 3/8*a**2 + 9 + v*a + 1/12*a**3. Factor k(o).
(o + 1)*(o + 2)/4
Let a be (20/(-35))/((-4)/14). Let p be (-7)/(-2) + (3/a - 1). Factor -44 + 21 + 8*i**2 + 19 - 4*i**p.
-4*(i - 1)**2*(i + 1)**2
Let x(o) be the first derivative of -9/4*o**2 + 0*o + 240 + 1/4*o**3. Find a such that x(a) = 0.
0, 6
Let f = -5421191 + 6754805863/1246. Let s =