uppose 2*z + 12 = 4*z. Factor -o**2 + z*o - 9*o + o + 8.
-(o - 2)*(o + 4)
Let r = -9 - -12. Let o(a) = a**2 - 2*a. Let l be o(r). Factor 35 - 4*x**l - 116 + 43*x**2 + 28*x**3 + 11*x**2 + 3*x**4.
3*(x - 1)*(x + 3)**3
Let n be (8/24)/(-3 - (-46)/15). Let i(q) be the first derivative of -3/10*q**n - 2 + 0*q**3 + 0*q**2 - 3/4*q**4 + 0*q. Factor i(l).
-3*l**3*(l + 2)/2
Let r = -1034 - -21710/21. Let d = r + 32/21. Find p, given that -4*p + d - 7/3*p**2 = 0.
-2, 2/7
Let d be (-7)/(-21) - (-3)/(-9). Let w(z) be the third derivative of 0*z**3 + d*z + 0 - 2*z**2 + 1/18*z**4 + 1/90*z**5. Factor w(r).
2*r*(r + 2)/3
Suppose 3 = 2*f + 3*q, 3*q - q = 4*f - 14. Determine d, given that d**2 + 3*d**2 + 12*d**4 - 4*d**5 - 13*d**3 + d**f = 0.
0, 1
Let p(l) be the first derivative of 2*l**5/15 + 8*l**4/3 + 52*l**3/3 + 112*l**2/3 + 98*l/3 + 19. Factor p(j).
2*(j + 1)**2*(j + 7)**2/3
Let q(b) be the third derivative of b**7/315 - b**6/15 + 19*b**5/90 + b**4/3 - 20*b**3/9 - 14*b**2 - 2*b. Find g such that q(g) = 0.
-1, 1, 2, 10
Let s(l) be the second derivative of -l**7/10080 - l**6/2880 + l**5/240 + l**4/2 + 10*l. Let n(r) be the third derivative of s(r). Find v such that n(v) = 0.
-2, 1
Let t(p) = 97*p**2 + 683*p + 31. Let k be t(-7). Factor 1/4*f**4 + 11/2*f**2 + 9/4 - 2*f**k - 6*f.
(f - 3)**2*(f - 1)**2/4
Suppose 80*u**2 - 66*u - 17*u - 1141*u**3 - 1117*u**3 + 18*u + 15 + 2238*u**3 = 0. Calculate u.
1/2, 3
Let f(r) be the third derivative of -r**7/840 + 7*r**6/480 + r**5/20 - 7*r**4/24 - 4*r**3/3 - 9*r**2 + 7. Solve f(k) = 0.
-2, -1, 2, 8
Suppose -9*l - 79 = 47. Let a be ((-6)/l)/((-117)/(-21) - 5). Factor 3/4*g**2 + 1/4 - 1/4*g**3 - a*g.
-(g - 1)**3/4
Let o = 8 - 6. Suppose -3*m = -o - 4. Factor -2*i - m*i**2 + i**2 - 4 + 7.
-(i - 1)*(i + 3)
Let m(h) be the third derivative of -3/80*h**5 - 8*h**2 + 0 + 1/80*h**6 + 0*h**3 + 1/280*h**7 + 0*h**4 + 0*h. What is d in m(d) = 0?
-3, 0, 1
Let w = -25015/4 + 6254. Find j such that 0 + 3/2*j**4 + 13/4*j**3 + j + 3*j**2 + w*j**5 = 0.
-2, -1, 0
Let i(a) be the first derivative of -81*a**4/22 + 138*a**3/11 + 104*a**2/11 + 24*a/11 + 725. Factor i(x).
-2*(x - 3)*(9*x + 2)**2/11
Solve 170/7*t**4 + 2008/7*t**3 + 4322/7*t**2 + 800/7 + 4/7*t**5 + 3280/7*t = 0 for t.
-20, -1, -1/2
Let b be 3 - (-3 - (0 - 3)). Let z be ((-14)/4)/(1/(-2)). Factor 4 + 11*a - 21*a**b - 21*a**2 + z*a**4 - 3*a + 23*a**3.
(a - 1)**2*(a + 2)*(7*a + 2)
Let q(u) be the second derivative of -u**4/18 - 4*u**3/9 - u**2 + 268*u. Factor q(l).
-2*(l + 1)*(l + 3)/3
Find i, given that -3/2*i**2 + 51/2 + 201/4*i = 0.
-1/2, 34
Let -1247*b**3 - 864*b**2 + 5374*b**3 - 20736*b**4 + 2785*b**3 + 48*b - 1 = 0. Calculate b.
1/12
Let q(d) be the third derivative of 4/2415*d**7 - 1/92*d**4 + 0*d**3 + 8/345*d**5 - 17/1380*d**6 + 13*d**2 + 0 + 0*d. Determine k so that q(k) = 0.
0, 1/4, 1, 3
Suppose -86 + 98 = 4*n. Factor 0*b - 3/5*b**4 - 1/5*b**2 + 0 + 1/5*b**5 + 3/5*b**n.
b**2*(b - 1)**3/5
Let g be ((-18)/15)/((-6)/20). Suppose 9*o - g*o - 15 = 0. Factor -6*z + 6*z**2 + 4*z**4 - o*z**5 + 4*z**3 - 2 + 2*z + 3*z - 8*z**4.
-(z - 1)*(z + 1)**3*(3*z - 2)
Suppose 3*m - 300 = -2*m. Suppose -11*f - 4*f = -m. Factor -20/3*l**2 - 4*l**f + 0 - 28/3*l**3 - 4/3*l.
-4*l*(l + 1)**2*(3*l + 1)/3
Let q(r) = -11*r**2 - 15*r. Let v(w) = 16*w**2 - 37*w**2 + 7*w + 26*w**2. Let b(g) = -6*q(g) - 13*v(g). Solve b(t) = 0.
0, 1
Suppose 4*h + 6 = -3*w, 2*w + 2 = 2*h - 4*h. Factor -1 + 6 + 3 + 2*z - 26*z - 14*z**w.
-2*(z + 2)*(7*z - 2)
Let u(a) = 147*a**3 - 129*a**2 - 285*a - 99. Let p(r) = -441*r**3 + 386*r**2 + 856*r + 296. Let k(m) = -3*p(m) - 8*u(m). Factor k(q).
3*(q - 2)*(7*q + 4)**2
Determine r so that 2*r**2 - 126 + 591*r - r**2 - 692*r + 24 = 0.
-1, 102
Let x(m) be the first derivative of -1/5*m**3 + 0*m**2 - 16 + 3/5*m**4 + 0*m. Factor x(f).
3*f**2*(4*f - 1)/5
Let f(a) be the second derivative of -a**2 + 1/12*a**4 + 1/6*a**3 - 19*a + 0. What is u in f(u) = 0?
-2, 1
Factor -12*x**2 + 0 + 80/7*x + 4/7*x**3.
4*x*(x - 20)*(x - 1)/7
Let u(g) = 5*g + 73. Let q be u(-21). Let n be (1 + 3*-1)*4/q. Factor -1/4*z**3 - n*z**2 + 0*z + 0.
-z**2*(z + 1)/4
Suppose 2*c - 3*c = -155. Suppose 5*s - c - 615 = 0. Factor -36*r**3 - 62*r**3 + 8 - 47*r - 17*r + s*r**2.
-2*(r - 1)*(7*r - 2)**2
Let j be (1 + -1)/(-4*48/64). Let t(n) be the first derivative of -1/10*n**4 - 1 - 4/15*n**3 + 0*n + j*n**2. Let t(s) = 0. What is s?
-2, 0
Let x(t) = 42*t**3 + 182*t**2 + 272*t + 135. Let g(i) be the second derivative of i**5/20 + i**4/12 + i**3/6 - 14*i. Let d(p) = 2*g(p) - x(p). Factor d(o).
-5*(2*o + 3)**3
Let m be (-15)/(-50)*((-10)/36)/(-5). Let i(g) be the third derivative of 0 + 5*g**2 - m*g**5 - 1/12*g**4 + 0*g - 1/6*g**3. Let i(s) = 0. Calculate s.
-1
Let m be ((-12)/(-132))/((-5)/(-110)). Let q(p) be the second derivative of -5/3*p**3 - 5/12*p**4 + 0*p**m + 4*p + 0 + 1/4*p**5. Factor q(v).
5*v*(v - 2)*(v + 1)
Let a(d) be the first derivative of 2*d**6/3 - 16*d**5/5 - 3*d**4 + 56*d**3/3 - 16*d**2 - 11. Let a(c) = 0. What is c?
-2, 0, 1, 4
Factor 48/7*v + 0 + 2/7*v**2.
2*v*(v + 24)/7
Suppose -8*o**4 - 12/7*o**5 + 48/7*o - 44/7*o**3 + 64/7*o**2 + 0 = 0. Calculate o.
-3, -2, -2/3, 0, 1
Let y = -635 + 640. Let q(d) be the second derivative of -1/30*d**y - 1/90*d**6 + 0*d**4 + 0 + 1/6*d**2 + 1/9*d**3 - 6*d. Factor q(g).
-(g - 1)*(g + 1)**3/3
Let m(q) = -18*q**2 + 103*q - 110. Let h(r) = 25*r**2 - 155*r + 165. Let i(j) = 5*h(j) + 7*m(j). Factor i(o).
-(o - 1)*(o + 55)
Suppose -2*b + 8 = 2*s - 16, 2*b - s - 12 = 0. Suppose -5*z + 32 = -3*q + b, -3*q - 6 = -2*z. Suppose z*m - 2 + 4*m - 4*m - 7 + 3*m**2 = 0. What is m?
-3, 1
Suppose g = -j, g - 5 = -g - j. Suppose -5*o - f - 4 = -g*f, -3*o + 3*f = 3. Factor -1/4*d**4 + 0*d + 1/2*d**3 + o - 1/4*d**2.
-d**2*(d - 1)**2/4
Let c(t) be the second derivative of 0 - 1/3*t**3 + 0*t**2 - 1/4*t**4 + 1/4*t**5 + 11*t. Solve c(v) = 0 for v.
-2/5, 0, 1
Suppose 0 = 120*i - 161*i + 164. Factor 0 + 2/9*y**i - 2/3*y**3 + 0*y + 4/9*y**2.
2*y**2*(y - 2)*(y - 1)/9
Factor 68*p**2 + 70*p + 16*p**3 + 14 - 11 + 9 - 6*p.
4*(p + 1)*(p + 3)*(4*p + 1)
Let c(s) be the third derivative of s**8/10080 + s**7/1260 - 7*s**5/60 - 45*s**2. Let h(v) be the third derivative of c(v). Factor h(a).
2*a*(a + 2)
Let h(o) = o**4 - o**3 + o**2. Let a(n) = -6*n**4 - 3*n**3 - 23*n**2 + 27. Let y(s) = -2*a(s) - 10*h(s). Let y(f) = 0. What is f?
-3, 1
Suppose 9*v - 13*v + 20 = 0. Suppose -4*y + v*y + c - 3 = 0, -2*c = -6. Let y*p**2 + 0 + 0*p - 3/4*p**5 + 3/4*p**4 + 3/2*p**3 = 0. What is p?
-1, 0, 2
Suppose -14 = -55*b + 48*b. Let d + 0 + 1/2*d**b = 0. Calculate d.
-2, 0
Let y = -14 - 17. Let k = -31 - y. Factor k + 3*r - 3/2*r**2.
-3*r*(r - 2)/2
Let k be 4/(-14) + (-18)/(-14). Let w be k*-1*(-5 + -10). Suppose -1 - 2*s**2 - 13*s**3 - 2*s - 2 + 5 + w*s**3 = 0. Calculate s.
-1, 1
Let g(m) be the second derivative of m**6/10 - 3*m**5/5 + 3*m**4/4 + 92*m - 2. Factor g(t).
3*t**2*(t - 3)*(t - 1)
Let w(g) be the second derivative of g**7/42 - 17*g**6/90 + 8*g**5/15 - 2*g**4/3 - 5*g**3/2 + 10*g. Let d(m) be the second derivative of w(m). Factor d(o).
4*(o - 2)*(o - 1)*(5*o - 2)
Let m(p) be the second derivative of 0 + 0*p**2 + 8*p + 1/20*p**5 + 1/6*p**4 + 1/6*p**3. Let m(i) = 0. What is i?
-1, 0
Suppose -2*j + 0*j + 12 = 0. Let m(d) be the second derivative of 0 + 0*d**2 + 5*d + 0*d**3 + 0*d**4 - 1/180*d**j + 0*d**5. Determine p so that m(p) = 0.
0
Let b(q) be the third derivative of q**6/72 + q**5/4 + 5*q**4/3 - 7*q**3/2 + 13*q**2. Let t(f) be the first derivative of b(f). Factor t(c).
5*(c + 2)*(c + 4)
Determine i so that 0 - 36/19*i**2 + 126/19*i - 2/19*i**3 = 0.
-21, 0, 3
Let o(z) be the second derivative of -z**6/30 - z**5/20 + z**4 + 14*z**3/3 + 8*z**2 - 96*z. Find f such that o(f) = 0.
-2, -1, 4
Let o be (-1)/3 - 297/(-405). Factor -4/5*d**2 + 0 + o*d**3 + 2/5*d.
2*d*(d - 1)**2/5
Suppose -13 = -y - 3*p, 2*y + 4*p = -2*y + 44. Let f = y - 8. Determine b so that 3*b**3 + 2*b**4 + 8*b**2 - 8*b**f - b**3 = 0.
-1, 0
Let s(d) = -3*d**2 - 8*d - 7. Let u(m) = 15*m**2 + 38*m + 34. Let k(n) = 11*s(n) + 2*u(n). Factor k(g).
-3*(g + 1)*(g + 3)
Let p(c) be the third derivative of -c**7/210 + c**6/60 + c**5/20 - c**4/6 + 7*c**3/6 + 17*c**2. Let a(d) be the first derivative of p(d). Factor a(u).
-2*(u - 2)*(u + 1)*(2*u - 1)
Factor 0*c + 