804*u - 20. Let g(i) = k(i) - 10*x(i). Factor g(l).
4*l*(l - 14)**2
Let h(f) = f + 11. Let s be h(-6). Suppose s*n - 15 = -5*m, -n = 5*m - 3 - 0. Determine v, given that 3*v - 6*v**3 + 9*v**n - 6*v**3 = 0.
-1, 0, 1
Let p(z) = 4 + 290*z - 146*z - 4 - 12*z**2. Suppose -2*o - 4 = -0. Let u(v) = v**2 - 11*v. Let q(f) = o*p(f) - 27*u(f). Suppose q(r) = 0. What is r?
0, 3
Factor -26*o**3 + 10*o + o**2 - 3 + 16*o**3 + 2.
-(o - 1)*(o + 1)*(10*o - 1)
Suppose 148 = -34*u + 81*u + 27*u. Factor 0 + 0*y - 2/3*y**u - 1/3*y**3.
-y**2*(y + 2)/3
Let a be (((-15)/6)/(-5))/4. Let s(d) be the second derivative of a*d**4 - 1/20*d**5 - 1/4*d**2 + d + 0 + 0*d**3. Factor s(g).
-(g - 1)**2*(2*g + 1)/2
Let g be 7/(-28) + (-219)/(-12). Suppose k + 5*k - g = 0. Factor 0*x**2 + 0*x**2 - 8*x + 4*x**k + 0*x**2 - 4*x**2.
4*x*(x - 2)*(x + 1)
Let l be (-8)/(-36) + (-4)/18. Let c be 1 + 2 - (10 - 12). Factor -v**3 + 2*v**5 + v - 3*v**3 + v + l*v**c.
2*v*(v - 1)**2*(v + 1)**2
Solve 6 + 1/3*q**2 - 3*q = 0.
3, 6
Let f(z) = 8*z**3 + 4*z**2 - 12*z - 4. Let i(t) = -t**3 + t + 1. Suppose -l = 2*h - 3*l, 8 = 5*h - 3*l. Let y(n) = h*i(n) + f(n). Factor y(u).
4*u*(u - 1)*(u + 2)
Let p(x) = 245*x + 3187. Let o be p(-13). Factor 2/9*i**o - 2/3*i - 8/9.
2*(i - 4)*(i + 1)/9
Let w(n) = 2*n**2 - 5*n. Let z = 199 - 192. Let q(a) = 4*a**2 - a**2 + 0*a**2 - 6*a. Let y(h) = z*w(h) - 6*q(h). Factor y(o).
-o*(4*o - 1)
Let s(l) be the third derivative of 1/360*l**5 + 0*l**4 + 0 + l + 7*l**2 - 1/9*l**3. Suppose s(g) = 0. Calculate g.
-2, 2
Let p = 381 - 377. Determine b so that -8/3*b + 2/3*b**p + 0 + 2/3*b**3 - 8/3*b**2 = 0.
-2, -1, 0, 2
Let d = 97 - 54. Factor 53 - 112 + d + 4*v**2.
4*(v - 2)*(v + 2)
Suppose 3/5*i**4 + 9*i**2 + 0 + 27/5*i + 21/5*i**3 = 0. What is i?
-3, -1, 0
Let l(i) be the third derivative of i**7/315 + i**6/90 - i**4/18 - i**3/9 - 23*i**2 + 2*i. Find v such that l(v) = 0.
-1, 1
Let i(r) be the third derivative of -r**6/450 - r**5/25 - 4*r**4/15 - 11*r**3/3 + 15*r**2. Let s(o) be the first derivative of i(o). Factor s(w).
-4*(w + 2)*(w + 4)/5
Let k(u) be the third derivative of -18*u**2 + 1/33*u**4 + 1/330*u**5 + 0*u**3 + 0 + 0*u. Solve k(f) = 0 for f.
-4, 0
Let f = -105 - -117. Let n be 1*(-7)/28 - (-11)/f. Factor -n*u - 2/3*u**2 + 0.
-2*u*(u + 1)/3
Let i(a) be the second derivative of 9/2*a**2 + 9*a + 0 + 3/10*a**5 - 2/3*a**4 - 1/30*a**6 - a**3. Factor i(y).
-(y - 3)**2*(y - 1)*(y + 1)
Factor 15/4*w**2 + 49/4 + 1/4*w**3 + 63/4*w.
(w + 1)*(w + 7)**2/4
Let 2/5*w**4 + 4*w**3 + 54/5*w**2 + 0 + 36/5*w = 0. Calculate w.
-6, -3, -1, 0
Let f = 527/44 + -129/11. Factor -1/4*q**4 + 1/4*q**2 + f*q + 0 - 1/4*q**3.
-q*(q - 1)*(q + 1)**2/4
Let k(t) = 2*t**2 - 2. Let x(c) be the second derivative of c**4/12 - c**2/2 + 18*c. Let v(j) = k(j) - x(j). Suppose v(u) = 0. What is u?
-1, 1
Let m(x) be the third derivative of 1/16*x**4 - 23*x**2 + 0*x + 0*x**3 + 0 + 3/80*x**5 + 1/160*x**6. Let m(s) = 0. Calculate s.
-2, -1, 0
Let d be 10/(((-12)/(-6))/((-4)/(-5))). Factor -4/3*n + 2*n**2 + 0*n**3 - 2/3*n**d + 0.
-2*n*(n - 1)**2*(n + 2)/3
Let -10/7*c**3 + 10/7*c - 8/7 + 2/7*c**4 + 6/7*c**2 = 0. What is c?
-1, 1, 4
Factor 3451*c + 12*c**3 + 3*c**2 - 1735*c - 1728*c - 3*c**4.
-3*c*(c - 4)*(c - 1)*(c + 1)
Let t(o) be the third derivative of o**8/112 + o**7/21 + 7*o**6/120 - o**5/15 - o**4/6 + o**2 + 14. Solve t(b) = 0.
-2, -1, 0, 2/3
Suppose -23 = -9*v - 5. Determine q, given that -113*q + 605 + 167*q + 45*q**v + 111*q + 165*q = 0.
-11/3
Let z(q) = -q**2 - q + 1. Let o(v) be the first derivative of 10*v - 5/3*v**3 - 6 - 5*v**2. Let j(m) = -o(m) + 6*z(m). Factor j(h).
-(h - 2)**2
Let z(b) = -13*b**3 - 68*b**2 - 124*b - 69. Let r(q) = 3*q**3 + 17*q**2 + 31*q + 17. Let o(g) = -9*r(g) - 2*z(g). Suppose o(c) = 0. What is c?
-15, -1
Let v(n) be the third derivative of n**8/336 - n**7/35 + 13*n**6/120 - n**5/5 + n**4/6 - 112*n**2. Factor v(u).
u*(u - 2)**2*(u - 1)**2
Let p(r) be the second derivative of -2*r + 7/15*r**3 - 2/5*r**2 - 1/75*r**6 + 1/10*r**5 + 0 - 3/10*r**4. Factor p(b).
-2*(b - 2)*(b - 1)**3/5
Let d(h) = -h**2 + 22*h - 4. Let a be d(22). Let b be (1 - (-18)/(-16))/(2/a). Factor 1/4*t**2 + 0 + b*t**3 - 1/4*t**5 - 1/4*t**4 + 0*t.
-t**2*(t - 1)*(t + 1)**2/4
Suppose 0*x**2 + 0 + 0*x**3 + 1/2*x**4 + 0*x + 1/2*x**5 = 0. What is x?
-1, 0
Let q = -212 - -214. Let h(z) be the second derivative of 9/140*z**5 + 1/70*z**6 + 1/14*z**3 + 0*z**q + 0 + 3/28*z**4 + 3*z. Factor h(v).
3*v*(v + 1)**3/7
Let s(a) be the second derivative of -a**6/135 + 2*a**5/45 + 19*a**4/54 + 14*a**3/27 - 58*a. Solve s(y) = 0 for y.
-2, -1, 0, 7
Suppose -181 = -73*w + 38. Let c(a) be the first derivative of 4/15*a**w + 6 + 2/5*a**2 + 0*a + 1/20*a**4. What is d in c(d) = 0?
-2, 0
What is z in 0*z + z**2 - z**4 + 0 - 1/2*z**3 + 1/2*z**5 = 0?
-1, 0, 1, 2
Let a(v) be the second derivative of v**6/120 - 3*v**5/80 + v**4/16 - v**3/24 + 4*v - 28. Solve a(r) = 0.
0, 1
Let b = -26794/7 + 3828. Factor b + 10/7*w**2 - 4/7*w**3 - 8/7*w.
-2*(w - 1)**2*(2*w - 1)/7
Let h(b) be the second derivative of 0 + 2/3*b**3 - 23*b + 1/3*b**4 - 1/5*b**5 - 2*b**2. Factor h(j).
-4*(j - 1)**2*(j + 1)
Suppose 0 = -12*a + 362 - 302. Let w(k) be the third derivative of -6*k**2 + 1/60*k**a + 0*k**3 + 0 - 1/24*k**4 + 0*k. Find n such that w(n) = 0.
0, 1
Let m = 8050 + -8047. Solve 1/3*x**m + 1/6*x**4 + 0 + 1/6*x**2 + 0*x = 0 for x.
-1, 0
Let x = -3492/85 - -206/5. Determine f so that 2/17*f**3 + 0 + 0*f**2 + 0*f - x*f**4 = 0.
0, 1
Let h(p) be the first derivative of -p**6/6 + 5*p**4/12 + 19*p - 3. Let q(k) be the first derivative of h(k). Factor q(j).
-5*j**2*(j - 1)*(j + 1)
Let w(a) = a**5 + a**4 + a**2 - a + 1. Let i(y) = -2*y**4 - 6*y**3 + 2*y**2 + 2*y - 2. Let s(v) = -i(v) - 2*w(v). Solve s(u) = 0.
-2, 0, 1
Let z(u) = 12*u**5 + 68*u**4 - 60*u**3 - 230*u**2 - 64*u + 48. Let q(d) = -d**2. Let v(g) = -2*q(g) + z(g). Let v(a) = 0. Calculate a.
-6, -1, 1/3, 2
Let z(d) be the first derivative of -7*d**4/8 - 10*d**3/3 - 19*d**2/4 - 3*d - 640. Determine k so that z(k) = 0.
-1, -6/7
Let w = -85 - -341/4. Let h(x) be the second derivative of -7*x + 0 + 5/2*x**3 - 3/20*x**5 - w*x**4 - 9/2*x**2. Factor h(p).
-3*(p - 1)**2*(p + 3)
Let w(q) be the second derivative of -q**6/72 + 5*q**4/24 + 5*q**3/9 - 13*q**2/2 - 34*q. Let z(u) be the first derivative of w(u). Factor z(v).
-5*(v - 2)*(v + 1)**2/3
Suppose -20 = 174*g - 184*g. Factor y**g + 0*y + 11/2*y**3 + 0.
y**2*(11*y + 2)/2
Let c(b) be the first derivative of -4*b**5/5 - 4*b**4 - 4*b**3 + 8*b**2 + 16*b - 101. Factor c(v).
-4*(v - 1)*(v + 1)*(v + 2)**2
Factor 118*y**2 - y**3 + 45*y**2 + 144 - 103*y**2 + 208*y - 3*y**3.
-4*(y - 18)*(y + 1)*(y + 2)
Factor -88/5 + 4*b**2 - 68/5*b.
4*(b + 1)*(5*b - 22)/5
Let n(b) be the third derivative of -b**8/1680 + b**6/360 - 2*b**3 + b**2. Let m(y) be the first derivative of n(y). Suppose m(c) = 0. Calculate c.
-1, 0, 1
Let k(h) be the second derivative of -h**9/113400 + h**8/50400 + h**7/9450 + h**4/6 + 21*h**2/2 + h - 8. Let p(x) be the third derivative of k(x). Factor p(s).
-2*s**2*(s - 2)*(s + 1)/15
Let q(b) be the third derivative of b**5/20 - 3*b**4/2 + 18*b**3 - 94*b**2. Suppose q(t) = 0. What is t?
6
Let z be 158/(-12) + (-8)/(-48). Let f be 12/(-78) - 301/z. Determine g so that -2*g**3 - f*g + 14*g**2 - 24*g + 19 + 17*g - 1 = 0.
1, 3
Let j(p) be the second derivative of 0*p**4 + 0 - p - 1/120*p**5 + 0*p**3 + 7/2*p**2. Let l(k) be the first derivative of j(k). Factor l(d).
-d**2/2
Factor -176*w**2 - 128/5 + 20*w**3 + 656/5*w.
4*(w - 8)*(5*w - 2)**2/5
Let a(c) be the first derivative of 18*c**4/17 - 128*c**3/17 + 61*c**2/17 - 10*c/17 + 406. Determine w, given that a(w) = 0.
1/6, 5
Let a(i) be the third derivative of i**5/20 - 61*i**4/8 + 30*i**3 + 3*i**2 + 57*i. Let a(g) = 0. What is g?
1, 60
Let o(n) be the third derivative of -12*n**2 + 3/665*n**7 + 0*n + 0*n**4 + 1/570*n**5 - 1/190*n**6 + 0*n**3 + 0. Factor o(j).
2*j**2*(3*j - 1)**2/19
Let q(z) be the third derivative of z**8/168 - 4*z**7/105 + z**6/20 + 166*z**2. Factor q(t).
2*t**3*(t - 3)*(t - 1)
Factor -65/2 - 290*f + 135/2*f**4 - 855*f**2 - 810*f**3.
5*(f - 13)*(3*f + 1)**3/2
Suppose h - 9 = -3*k, -2 + 3 = -3*h + 5*k. Find b such that 239*b**4 + 10*b + 2 + h - 244*b**4 - 10*b**3 = 0.
-1, 1
Let c be 0 + 5 + -2 + 2 + -3. Fact