b - 6*b + 4*b - 8 - 2*b**2 - 3*b = 0 for b.
-2
Let s(i) be the third derivative of i**9/4032 - 3*i**8/2240 + 3*i**7/1120 - i**6/480 - i**4/24 + i**2. Let t(g) be the second derivative of s(g). Factor t(z).
3*z*(z - 1)**2*(5*z - 2)/4
Let i(a) = 4*a**2 + 5*a - 6. Let o(w) = 4*w**2 + 4*w - 5. Let g(f) = -5*i(f) + 6*o(f). Factor g(r).
r*(4*r - 1)
Suppose 0 = -3*f + 6. Suppose 0*q - q**3 + 2 - f*q + 4*q**2 + 0*q - 3*q = 0. Calculate q.
1, 2
Solve -10*k - 194 - 25*k**2 + 194 = 0.
-2/5, 0
Let 11*g + 7*g**2 - 12*g**2 + 19*g = 0. What is g?
0, 6
Let x(y) be the third derivative of -y**6/10 + 44*y**5/15 - 175*y**4/6 + 196*y**3/3 + y**2. Factor x(d).
-4*(d - 7)**2*(3*d - 2)
Let a(u) = 4*u**2 - 31*u + 36. Let n be (-18)/(-24)*(3 - -1). Let d be 21/6*(-6)/n. Let m(x) = 2*x**2 - 15*x + 18. Let j(z) = d*m(z) + 3*a(z). Factor j(f).
-2*(f - 3)**2
Let 32/11 - 12/11*f - 2/11*f**2 = 0. What is f?
-8, 2
Let s(m) be the second derivative of -m**5/40 + m**4/6 - 5*m**3/12 + m**2/2 + 3*m. What is w in s(w) = 0?
1, 2
Let k(o) be the first derivative of 2/3*o**2 + 0*o - 1/3*o**4 - 2/3*o**3 + 1. Factor k(w).
-2*w*(w + 2)*(2*w - 1)/3
Let j(b) = -2*b**3 + 6*b**2 - 4*b + 3. Let z be j(2). Let 1/4*g**z - 1/4*g**2 + 1/4 - 1/4*g = 0. What is g?
-1, 1
Determine d so that 0*d**2 + d**2 - 2*d**4 + 0*d**4 + d**2 = 0.
-1, 0, 1
Determine p so that -4*p**2 + 0*p**4 + 2*p**2 + 0*p**2 + 2*p**4 = 0.
-1, 0, 1
Let k(j) be the third derivative of j**6/120 - j**4/8 - j**3/3 + 10*j**2. Determine f so that k(f) = 0.
-1, 2
Let f be ((-2)/(-6))/(2/12). Factor 3*k**2 - 2*k - 4*k**f + 0 - 1.
-(k + 1)**2
Let g(z) be the third derivative of -z**7/490 + z**5/70 - z**3/14 + 2*z**2. Suppose g(m) = 0. Calculate m.
-1, 1
Suppose 0 = s + 2*n - 2, s + 4 = 4*n - 0. Let x(a) = 2*a - 3. Let p be x(4). Factor -1/2*z + 1/2*z**p + 0 + z**4 - z**2 + s*z**3.
z*(z - 1)*(z + 1)**3/2
Let z be (-10)/30 + 13/3. Let n(f) be the third derivative of 0*f**3 + 1/24*f**z + 0*f - 1/60*f**5 + 0 - 3*f**2. Factor n(l).
-l*(l - 1)
What is j in -6*j - 3*j**2 - j**2 + 2*j + 24 = 0?
-3, 2
Let w be (-2)/(10*(6 + -7)). Factor a**2 - 3/5*a**3 - 1/5*a - w.
-(a - 1)**2*(3*a + 1)/5
Let y(h) = -16*h**4 + 23*h**3 + 9*h**2 - 41*h + 16. Let k(p) = -4*p**4 + 6*p**3 + 2*p**2 - 10*p + 4. Let a(u) = 9*k(u) - 2*y(u). Factor a(n).
-4*(n - 1)**3*(n + 1)
Let z be 0 + (3 - ((-51)/(-9) + -3)). Factor -4/3 - 5/3*i**3 + z*i**4 + 8/3*i + 1/3*i**5 - 1/3*i**2.
(i - 1)**3*(i + 2)**2/3
Let t(k) be the first derivative of -k**6/2 + 6*k**5/5 + 3*k**4/2 - 4*k**3 - 3*k**2/2 + 6*k + 7. Determine i so that t(i) = 0.
-1, 1, 2
Solve 25/4*g**3 + 0 + 1/2*g + 11*g**4 - 17/4*g**2 = 0 for g.
-1, 0, 2/11, 1/4
Let x = 3391 - 13499/4. Let k = 79/4 - x. Suppose -k*m + 5/2*m**2 + 1 = 0. Calculate m.
2/5, 1
Let b = 0 - 3. Let i = -1 - b. Find l such that 4*l**i - l + 0*l**2 - 5*l**2 = 0.
-1, 0
Let v(g) = -27*g - 1. Let f be v(-1). Let f*l + l**4 - 2*l**3 - 26*l + l**2 = 0. Calculate l.
0, 1
Suppose 0*d + 4*d - 11 = j, 0 = 2*j - 2. Factor 0*m + 2/3*m**4 + 0 + 2/3*m**2 + 4/3*m**d.
2*m**2*(m + 1)**2/3
Let i(o) be the second derivative of -o**4/12 - 2*o**3/3 + 7*o**2/2 + 2*o. Let y be i(-5). Factor -20*w**y + 24*w - 6*w**2 - 8 + 8*w**2.
-2*(3*w - 2)**2
Let a be -2 - (-3)/(-3)*1. Let w be 0*(a/12 + 0). Factor 3/2*r**4 - 2*r + 5/2*r**3 + w - 2*r**2.
r*(r - 1)*(r + 2)*(3*r + 2)/2
Let l(j) be the first derivative of -1/7*j**2 + 0*j + 1/14*j**4 + 2/35*j**5 + 1 - 2/21*j**3. Factor l(n).
2*n*(n - 1)*(n + 1)**2/7
Determine u, given that -12*u - 44*u**2 - 15*u**3 - 13*u**3 + 2*u**4 - 20*u - 18*u**2 = 0.
-1, 0, 16
Let l be (-16)/40*20/(-4). Determine u so that -3/5*u**l + 0*u + 2/5*u**3 + 1/5 = 0.
-1/2, 1
Let h(j) = -8*j**2 - 8*j - 14. Let i(y) = -y**2 - 1. Let q(b) = -h(b) + 6*i(b). Factor q(v).
2*(v + 2)**2
Let a(t) be the second derivative of -t**6/180 - t**5/30 - t**4/18 - 2*t. Suppose a(q) = 0. What is q?
-2, 0
Let c(j) be the first derivative of -j**6/30 + 3*j**5/25 + j**4/5 + 37. Factor c(d).
-d**3*(d - 4)*(d + 1)/5
Let i(d) = -d**4 + d**3 - 1. Let u(t) = 39*t**3 + 3*t**2 - 6*t - 15. Let r(x) = -15*i(x) + u(x). Factor r(w).
3*w*(w + 1)**2*(5*w - 2)
Let d = 160 - 157. Factor -9*y**2 - 24/5*y - 5*y**d - 4/5.
-(y + 1)*(5*y + 2)**2/5
Let i(t) be the first derivative of 8*t**5/5 + 9*t**4/2 + 4*t**3 + t**2 + 5. Factor i(q).
2*q*(q + 1)**2*(4*q + 1)
Let k(t) be the first derivative of 2*t**5/5 + 3*t**4/2 - 8*t**3/3 + 22. Find j, given that k(j) = 0.
-4, 0, 1
Let z be (11 - 13)*6/(-4). Let b be 2/(-3)*(0 - z). Determine c so that 2/5*c**5 + 0 + 0*c**b - 4/5*c**4 + 2/5*c**3 + 0*c = 0.
0, 1
Let l(o) be the third derivative of -o**5/60 + o**4/4 + 3*o**3/2 + o**2. Let u be l(7). Find p such that -8 + 4*p**u + 5*p**2 - 15*p + 7*p - 3*p**2 = 0.
-2/3, 2
Let t(g) be the first derivative of 7*g**3/3 - 9*g**2/2 + 5*g - 8. Let r(n) = 22*n**2 - 28*n + 16. Let q(d) = 5*r(d) - 16*t(d). Determine a so that q(a) = 0.
0, 2
Let s be (0 - (-20)/4) + -4. Let x(h) be the first derivative of -1/6*h**4 + 4/9*h**2 - 8/9*h - s + 10/27*h**3. Find f, given that x(f) = 0.
-1, 2/3, 2
Let s(k) be the first derivative of -k**4/24 + k**3/6 - k**2/4 + k/6 + 5. Factor s(m).
-(m - 1)**3/6
Let u = -390 - -1954/5. Factor -14/5*t - u - 6/5*t**2.
-2*(t + 2)*(3*t + 1)/5
Let j(r) be the third derivative of r**5/20 + 3*r**4/4 - 35*r**2. Let j(n) = 0. Calculate n.
-6, 0
Let l(q) be the first derivative of q**6/27 - q**4/9 + q**2/9 + 10. Suppose l(h) = 0. What is h?
-1, 0, 1
Let q be (-4)/5*5/(-2). Suppose f + 3*p - 8*p = 18, -6 = q*p. Factor -c**5 - c + 2*c**3 + f + 3 - 2 - 3 + c**4 - 2*c**2.
-(c - 1)**3*(c + 1)**2
Factor 16/3 + 8/3*u**3 + 8*u**2 + 1/3*u**4 + 32/3*u.
(u + 2)**4/3
Let j(m) be the second derivative of 1/3*m**2 + 1/60*m**5 + 0 + 2*m + 5/18*m**3 + 1/9*m**4. Factor j(x).
(x + 1)**2*(x + 2)/3
Let b(c) be the second derivative of -49*c**6/60 - 7*c**5/40 + 55*c**4/24 + 7*c**3/12 - 3*c**2/2 - 39*c. Determine z, given that b(z) = 0.
-1, -3/7, 2/7, 1
Let r(m) be the first derivative of -1/6*m**2 - 1/9*m**3 + 1/12*m**4 + 1 + 1/3*m. Factor r(t).
(t - 1)**2*(t + 1)/3
Let g(d) be the third derivative of 1/12*d**4 - 3*d**2 + 1/30*d**5 + 0*d + 0 - 2/3*d**3. Suppose g(h) = 0. What is h?
-2, 1
Let j = 5/42 + 17/14. Factor 4/3*y**4 + 1/3*y**5 - 5/3*y - 2/3*y**2 + j*y**3 - 2/3.
(y - 1)*(y + 1)**3*(y + 2)/3
Let u(v) be the third derivative of 0 + 3*v**2 - 2/3*v**3 - 7/60*v**6 + 2/105*v**7 + 0*v + 1/12*v**4 + 1/5*v**5. Factor u(r).
2*(r - 2)*(r - 1)**2*(2*r + 1)
Suppose 5*d = -11 + 36. Suppose -2*z = -d*r + 2, -r = r - 4*z - 4. Find o, given that -3*o**2 + o + 2*o**2 + o**3 + r - 2*o + 1 = 0.
-1, 1
Let s = 14 - -20. Factor -21*y + s*y**2 + 4 - 11*y**2 + y - 12*y**3 + 5*y**2.
-4*(y - 1)**2*(3*y - 1)
Let v(w) be the first derivative of 2*w**6/3 - 8*w**5/25 - 2*w**4 + 16*w**3/15 + 2*w**2 - 8*w/5 - 38. Find u, given that v(u) = 0.
-1, 2/5, 1
Factor 32/3 + 2/3*y**2 + 16/3*y.
2*(y + 4)**2/3
Let z(h) be the first derivative of -2*h**3/9 - h**2 - 4*h/3 + 3. Suppose z(b) = 0. What is b?
-2, -1
Let d(k) = -k**2 - 6*k - 3. Let c be d(-4). Let u = c - 2. Factor -1/5 + 1/5*v**u + 1/5*v**2 - 1/5*v.
(v - 1)*(v + 1)**2/5
Let t(f) be the third derivative of -f**8/1176 + f**6/420 + 17*f**2. Factor t(b).
-2*b**3*(b - 1)*(b + 1)/7
Suppose -5*z - 6 = -31. Let m(a) = -3*a**3 - 4*a**2 + 5*a + 6. Let l(n) = 6*n**3 + 7*n**2 - 11*n - 12. Let f(r) = z*m(r) + 2*l(r). Factor f(y).
-3*(y - 1)*(y + 1)*(y + 2)
Let 1/2*q + 1/2*q**2 - 1 = 0. What is q?
-2, 1
Let n(c) be the first derivative of -1/6*c**3 - 2 + 1/2*c + 1/8*c**4 - 1/4*c**2. Factor n(r).
(r - 1)**2*(r + 1)/2
Let q(g) = -g**2 - 7*g - 2. Let s be q(-7). Let t be 52/72 - s/(-9). Factor t*i + 1/4*i**2 + 1/4.
(i + 1)**2/4
Let t = -1/70 + 9/140. Let j(l) be the second derivative of t*l**5 + 0 + 0*l**2 + 2*l + 0*l**4 - 1/6*l**3. Solve j(m) = 0 for m.
-1, 0, 1
Let v(j) be the third derivative of -j**8/16 - 9*j**7/70 - j**6/20 - 5*j**2. Determine p, given that v(p) = 0.
-1, -2/7, 0
Suppose -2*c - 14 = -5*q + 7, q - 5*c = 18. Factor -2 + q*d**2 + 2*d**2 - 6*d**2 - 3*d.
-(d + 1)*(d + 2)
Let p = 254 - 80. Let m be -2 - (-2 + p/(-27)). Determine n, given that 2/9*n**3 - 56/9*n**5 + 0 + 0*n - 4/9*n**2 + m*n**4 = 0.
-1/4, 0, 2/7, 1
Let j = 66 - 61. Find l such that 3*l + 16/3*l**2 + 14/3*l**3 + 1/3*l**j + 2/3 + 2*l**4 =