*4 + z**3 + 0 + 0*z + y*z**2.
-z**3*(z - 2)/2
Let v be (-16)/7 + 20/70. Let y be (-24)/(-15) + v/(-5). Factor -y*z + 4*z**2 - 5*z**2 + 3*z**4 - 2*z**4 + 2*z**3.
z*(z - 1)*(z + 1)*(z + 2)
Let s(k) = -4*k**3 + 2*k**2 + 2*k. Let z be s(-1). Factor -3*t + 0*t**2 - 2*t**2 - z*t + t.
-2*t*(t + 3)
Suppose 27 = -2*o + 5*d - 0*d, -d - 21 = 4*o. Let w be (-80)/(-24) - 4/o. Factor -10*i**w + 2*i**5 + 0*i**2 + 8*i**3 + 4*i**5 - 2*i**5 - 2*i**2.
2*i**2*(i - 1)**2*(2*i - 1)
Let m(t) be the second derivative of 1/12*t**4 - 1/2*t**3 + 7*t + 0*t**2 + 0. Factor m(z).
z*(z - 3)
Suppose 12*h - 16*h - o + 16 = 0, 0 = 5*h - 2*o - 20. Let c(l) be the second derivative of 3/2*l**3 - 4*l - 1/4*l**h + 0*l**2 + 0. Solve c(n) = 0 for n.
0, 3
Let v(f) = -f**2 + 6*f + 30. Let o be v(9). Let q be o + (-5 - (1 + -5)). Factor 0 - 9/4*p**3 - 3/2*p - 15/4*p**q.
-3*p*(p + 1)*(3*p + 2)/4
Let u(h) be the first derivative of 6*h**5/35 + 11*h**4/14 + 16*h**3/21 - 4*h**2/7 - 267. Solve u(r) = 0 for r.
-2, 0, 1/3
Suppose 11*l - 8*l - 3*i = -9, 4*i = -2*l + 24. Determine p so that -4/21*p + 2/21*p**l + 0 = 0.
0, 2
Suppose 8 = 2*i + 3*l, 5*i + 7*l - 6*l - 20 = 0. Find m, given that 4/5*m + 8/5*m**2 + 1/5*m**i + 0 + m**3 = 0.
-2, -1, 0
Let m(o) = -195*o + 2149. Let v be m(11). Solve -3/5*i**2 + 1/5*i - 1/5*i**v + 3/5*i**3 + 0 = 0 for i.
0, 1
Let m(d) be the second derivative of d**5/40 + 17*d**4/8 + 289*d**3/4 + 4913*d**2/4 + 46*d. Let m(k) = 0. Calculate k.
-17
Let c be 15/((6 - -2) + -5). Let v(q) be the third derivative of -1/30*q**6 - q**2 + 1/6*q**4 + 0*q - 1/6*q**3 + 0 + 1/60*q**c. Factor v(t).
-(t - 1)*(t + 1)*(4*t - 1)
Let q be (-1*2)/(9/(-45)). Suppose 0 = -3*i - 2*r - 0 - 2, -i + 6 = -r. Factor 0 - 9*c**2 - 1 + q*c**i.
(c - 1)*(c + 1)
What is l in -2 - 19*l - 49*l**2 + 96*l**2 - 64*l**2 = 0?
-1, -2/17
Solve 2/9 + 4056*a**2 + 105456*a**3 + 52*a = 0 for a.
-1/78
Let l(h) be the third derivative of h**7/630 - h**6/60 + h**5/15 - 13*h**4/12 - 40*h**2. Let j(u) be the second derivative of l(u). Factor j(v).
4*(v - 2)*(v - 1)
Let u = -394/19 + 2815/133. Factor -u*y**2 + 18/7*y + 0.
-3*y*(y - 6)/7
Let k = 22 + -19. Solve k*i**3 - 9*i**2 - 69*i + 69*i = 0.
0, 3
Determine g so that 16*g + 2/5*g**4 - 92/5*g**2 + 0 + 2*g**3 = 0.
-10, 0, 1, 4
Let d = 4924 - 4921. Factor 0*l - 8/5*l**2 + 0 + 4/5*l**d.
4*l**2*(l - 2)/5
Let c(m) be the first derivative of 18/5*m**5 + 25/4*m**2 - 83/6*m**3 - 35 + 3*m**4 - m. Factor c(i).
(i - 1)*(i + 2)*(6*i - 1)**2/2
Find z such that -1171/2*z**3 - 9828*z - 9126 - 61/2*z**4 - 7515/2*z**2 - 1/2*z**5 = 0.
-26, -3
Let y(a) be the first derivative of -9/2*a**2 - a**3 + 35 + 12*a. Solve y(u) = 0.
-4, 1
Let w(o) = -o**3 + 8*o**2 + o + 4. Let r be w(8). Let b = 16 - r. Factor 3 + 18*y**2 + 3*y**4 - 3*y**b + 6*y**4 - 3*y**4 - 12*y**3 - 12*y.
3*(y - 1)**4
Let 14*j**4 - 13*j**2 + 0*j**3 - 10*j**3 - 2*j**2 - 9*j**4 = 0. What is j?
-1, 0, 3
Let z = 21892/5 - 4378. Suppose -z*o**2 + 0 + 0*o = 0. Calculate o.
0
Find s, given that 1/4*s**5 - 2*s - 1/2*s**3 + 3/4*s**4 - 3*s**2 + 0 = 0.
-2, -1, 0, 2
Let z(d) = -9*d**3 + 44*d**2 - 80*d + 4. Let v(b) = -19*b**3 + 89*b**2 - 160*b + 9. Suppose 0*o - 9 = -o. Let t(s) = o*z(s) - 4*v(s). Let t(k) = 0. What is k?
0, 4
Let i(y) = -9*y**4 - 13*y**3 - 37*y**2 - 25*y + 13. Let f(z) = 8*z**4 + 15*z**3 + 38*z**2 + 24*z - 12. Let c(d) = 5*f(d) + 4*i(d). Factor c(b).
(b + 2)**3*(4*b - 1)
Let i(o) be the second derivative of -169*o**5/10 - 455*o**4/36 + 4*o**3/9 + 8*o**2/3 + 2*o + 78. Factor i(f).
-(6*f - 1)*(13*f + 4)**2/3
Let i(r) = -3 + r**3 + 200*r**2 - 201*r**2 + 2. Let m(q) = -3*q**3 + 10*q**2 - 21*q + 20. Let j(n) = -2*i(n) - m(n). Factor j(z).
(z - 3)**2*(z - 2)
Let o be ((-6)/945)/((-154)/33). Let x(w) be the third derivative of 1/210*w**5 - o*w**7 + 0*w**3 + 1/84*w**4 + 0 - 1/420*w**6 - 5*w**2 + 0*w. Solve x(z) = 0.
-1, 0, 1
Let r = -1695 + 11915/7. Let t = r + -179/28. Factor 3/2*d**2 + 0*d + 0*d**3 - t - 3/4*d**4.
-3*(d - 1)**2*(d + 1)**2/4
Let d(y) be the third derivative of 0 - 8*y**2 - 1/336*y**8 + 1/2*y**3 - 1/20*y**6 + 0*y - 1/42*y**7 + 7/24*y**4 + 1/30*y**5. Factor d(u).
-(u - 1)*(u + 1)**3*(u + 3)
Let a(o) be the first derivative of 5*o**4/12 - 5*o**3/2 - o + 4. Let v(j) be the first derivative of a(j). Let v(x) = 0. Calculate x.
0, 3
Let h = -277/4 - -70. Let r(j) be the first derivative of 0*j - 5 - 3/2*j**2 - h*j**4 + 2*j**3. Let r(o) = 0. Calculate o.
0, 1
Factor -33*w - 529*w**2 + 2*w**3 - 189*w + 501*w**2 - 360.
2*(w - 20)*(w + 3)**2
Let p(t) be the third derivative of 0*t - 6*t**2 - 1/60*t**6 + 5/12*t**4 + 1/30*t**5 + 0 + t**3. Determine v so that p(v) = 0.
-1, 3
Find f, given that -12/5*f + 8/5*f**2 - 4 = 0.
-1, 5/2
Let o(h) be the first derivative of h**8/336 + h**7/105 - h**5/30 - h**4/24 + 3*h**2/2 + 5. Let j(n) be the second derivative of o(n). Factor j(d).
d*(d - 1)*(d + 1)**3
Let k = 3/130 + -1/156. Let m(b) be the third derivative of 0*b - 1/24*b**4 + 0*b**3 + 5*b**2 + k*b**5 + 0. Factor m(w).
w*(w - 1)
Find w, given that -4/5*w**2 + 0 + 3/5*w**4 + 4/5*w - w**3 = 0.
-1, 0, 2/3, 2
Factor 2/11*z**4 - 16/11*z**3 + 0 - 30/11*z**2 + 108/11*z.
2*z*(z - 9)*(z - 2)*(z + 3)/11
Suppose 7*c - 11*c = -248. Factor 25*q - 134 - 7*q**3 + 71*q**4 + c*q**3 - 66*q**4 + 165*q**2 - 116.
5*(q - 1)*(q + 2)*(q + 5)**2
Suppose -41 = -2*r + 49. Let q be (-27)/r - (-18)/5. Let -27 - 50*s**2 + 147*s**4 + 378*s**q - 9 - 211*s**2 - 237*s + 9*s = 0. What is s?
-3, -2/7, 1
Let c be (-4)/(-14) + (-338)/(-91). Suppose c*l - 2*l = 6. Factor -2*w**2 + 121 + 3*w**l - 121 - w**5.
-w**2*(w - 1)**2*(w + 2)
Let b be 189/165 - (-54)/(-99). Let u(g) be the first derivative of -b*g**2 - 6 - 2/15*g**3 - 4/5*g. Find w, given that u(w) = 0.
-2, -1
Factor 2/3*y + 1/6*y**4 + 4 - 1/6*y**3 - 5/3*y**2.
(y - 3)*(y - 2)*(y + 2)**2/6
Let c(a) be the first derivative of 9*a**3 + 12*a - 43 - 10*a**3 + 38. Factor c(t).
-3*(t - 2)*(t + 2)
Let h(y) be the first derivative of -5*y**8/1008 + y**7/126 + y**6/72 - y**5/36 - 20*y**2 + 1. Let x(r) be the second derivative of h(r). Factor x(s).
-5*s**2*(s - 1)**2*(s + 1)/3
Suppose 0 = -3*o - 4*j - 14, 4 = 2*o + j + 5. Factor 3*g**5 + g**4 + 8*g**2 - 4*g**5 + 7*g - 236 - 3*g**4 + o*g**3 + 238.
-(g - 2)*(g + 1)**4
Suppose -9*n + 2*n = -56. Factor n*r**4 - r**5 + 4*r - 4*r**4 - 7*r**3 + 4*r**3 - 4*r**2.
-r*(r - 2)**2*(r - 1)*(r + 1)
Let w(m) be the third derivative of -1/900*m**6 - m**2 - 5/6*m**3 + 0*m**4 - 1/300*m**5 + 0 + 0*m. Let c(k) be the first derivative of w(k). Factor c(l).
-2*l*(l + 1)/5
Factor -33*q**5 + 21*q**5 - 668*q**4 - 583*q**2 + 583*q**2 - 440*q**3.
-4*q**3*(q + 55)*(3*q + 2)
Let d(s) be the second derivative of -s**4/28 + 3*s**3/14 - 3*s**2/7 + 78*s. Let d(c) = 0. What is c?
1, 2
Let z(l) = l**3 + 9*l**2 - 8*l + 18. Let h be z(-10). Let n be (1 - h) + 1 + -1. Determine p, given that p**2 - 3 - 2*p + n*p + p + 0*p = 0.
-3, 1
Let h(l) = l**2 - 10*l - 119. Let i be h(-7). Let r(y) be the first derivative of 1 - 2/5*y**5 - 2/3*y**3 + 0*y + i*y**2 + y**4. Find n such that r(n) = 0.
0, 1
Let q be 10/(-3)*((-243)/(-42) - 6). Let w = 645/7 - 92. Suppose q*b**3 - 8/7*b - 4/7 + 1/7*b**4 - w*b**2 - 1/7*b**5 = 0. What is b?
-1, 2
Let n = 23 - 21. Let z be (-8 + 0)/(n + -7). Determine j so that -z*j + 0 - 2/5*j**3 + 8/5*j**2 = 0.
0, 2
Solve 304*t**2 - 23*t + 28*t**3 + 315*t**2 + 6 - 630*t**2 = 0 for t.
-6/7, 1/4, 1
Suppose 0 = 2*u + 4*c - 68, c - 21 = -u + 10. Suppose 4*v - u = -4*w, -4*v + 0*w + w + 3 = 0. Factor -7*g**2 + 9*g**2 + 2*g**5 + v*g**3 - 4*g**4 - 2*g**2.
2*g**3*(g - 1)**2
Suppose 7*f**3 - 6*f - 167*f**2 - f**3 + f**4 + 166*f**2 = 0. What is f?
-6, -1, 0, 1
Suppose 0 = 2*f + 4*r - 4, 4*r + 2 = -4*f + 6*r. Let x(t) be the second derivative of -1/8*t**4 + t + f*t**2 - 1/2*t**3 + 0. Factor x(g).
-3*g*(g + 2)/2
Let m(r) be the first derivative of 12*r + 4/3*r**3 + 14 - 8*r**2. Let m(q) = 0. What is q?
1, 3
Let q(u) be the second derivative of 2*u**6/75 + u**5/25 - 7*u**4/15 - 2*u**3/15 + 12*u**2/5 + 48*u + 2. Determine l, given that q(l) = 0.
-3, -1, 1, 2
Let p(r) = 206*r - 5354. Let o be p(26). Factor -3/7*b**o + 0*b - 6/7*b**3 + 0 - 3/7*b**4.
-3*b**2*(b + 1)**2/7
Suppose -200 = 3*u - 0*r - r, 5*u + 305 = -4*r. Let y = u + 199/3. Factor 0*t**3 - 8/3*t**2 + 4/3*t**4 + y + 0*t.
4*(t - 1)**2*(t + 1)**2/3
Let 