**2 - 2*g**d + 11*g - 3*g + 8 = 0.
-2, -1, 1
Let b(u) be the second derivative of -3*u**5/20 + u**4/6 + 7*u**3/6 + u**2 - 14*u. Factor b(j).
-(j - 2)*(j + 1)*(3*j + 1)
Let n = 43/135 - -13/27. Factor -6/5*a**2 + 0 + 4/5*a**3 - n*a.
2*a*(a - 2)*(2*a + 1)/5
Let y(i) = -14*i**2 + 11*i + 3. Let n(m) = 7*m**2 - 5*m - 2. Let u(f) = 7*n(f) + 4*y(f). Find x such that u(x) = 0.
2/7, 1
Let 2/11*g + 14/11*g**3 + 6/11*g**4 + 10/11*g**2 + 0 = 0. What is g?
-1, -1/3, 0
Let c = 10 + -8. Let z(v) be the second derivative of 0 - 2/3*v**3 - v**c - 1/6*v**4 - 3*v. Determine b so that z(b) = 0.
-1
Let z(p) be the second derivative of -p**10/15120 + p**8/3360 + p**4/3 + 6*p. Let m(b) be the third derivative of z(b). Factor m(y).
-2*y**3*(y - 1)*(y + 1)
Suppose -4*g = -5*g - 14. Let v be 4/g - (-16)/7. Find z, given that -v*z**3 - z**2 - 4*z - 3*z**2 + 2*z = 0.
-1, 0
Let u = -17 - -3. Let p = -9 - u. What is c in -1 + 4*c**2 + 13*c**2 + p*c**4 - 18*c**3 - 3 = 0?
-2/5, 1, 2
Let n(o) be the first derivative of -5*o**6/8 - o**5/5 + 3*o**4/2 + o**3/6 - 9*o**2/8 + o/2 + 54. Suppose n(t) = 0. What is t?
-1, 1/3, 2/5, 1
Let r = 14 - 38/3. Factor r*l + 2/3*l**3 + 0 - 2*l**2.
2*l*(l - 2)*(l - 1)/3
Let r be 8/(-4)*(0 + (2 - 4)). Let b(x) be the first derivative of 1/6*x**3 + 4 + 0*x**r + 0*x**2 - 1/10*x**5 + 0*x. Factor b(s).
-s**2*(s - 1)*(s + 1)/2
Solve 3/2*g + 3/8*g**2 + 0 = 0.
-4, 0
Factor 2/11*c**2 - 10/11*c + 0.
2*c*(c - 5)/11
Solve -7*x**4 - 13/4*x**3 + 13/4*x**2 + 0 - 1/2*x = 0 for x.
-1, 0, 1/4, 2/7
Let j(y) be the second derivative of y**5/40 + 3*y**4/8 + 9*y**3/4 + 27*y**2/4 + 13*y. Let j(v) = 0. What is v?
-3
What is q in 0*q + 0*q**3 - 8/5 + 2*q**2 - 2/5*q**4 = 0?
-2, -1, 1, 2
Factor 12*n + 2 + 6 + 5 + 8*n**2 - 9.
4*(n + 1)*(2*n + 1)
Let j(w) be the third derivative of -w**6/720 + w**5/240 + w**3/3 - 3*w**2. Let k(g) be the first derivative of j(g). Factor k(p).
-p*(p - 1)/2
Let x = 0 - -3. Let a be (3 + 80/(-15))/1 - -3. Factor a*z + 4/3 - 2/3*z**x - 4/3*z**2.
-2*(z - 1)*(z + 1)*(z + 2)/3
Determine w, given that 19*w + 3 - 8*w**2 - w - 7 = 0.
1/4, 2
Let z be (-96)/220 - (-2)/(-10). Let g = z - -57/55. Factor -4/5*c**2 + 2/5*c + 0 + g*c**3.
2*c*(c - 1)**2/5
Let u be (-2)/(-3)*-1*(-18)/24. Factor 0 - 1/2*s**2 + u*s**3 - s.
s*(s - 2)*(s + 1)/2
Let s(h) = -h**2 + 4*h + 6. Let n be s(7). Let u be n/(-3)*(-2)/(-6). Suppose -u*l**4 + 4/3*l**5 + 0 - 1/3*l + 5/3*l**2 - l**3 = 0. What is l?
-1, 0, 1/4, 1
Let g(b) = 3*b**2 - 5*b + 2. Let d(t) = 12*t**2 - 21*t + 9. Let r(c) = -2*d(c) + 9*g(c). Find i, given that r(i) = 0.
0, 1
Let q(z) be the third derivative of z**6/180 + z**5/30 + z**4/12 + z**3/9 - 2*z**2. Let q(i) = 0. What is i?
-1
Find x, given that x**2 + 2 + 3*x**3 - 12*x**4 + 4 + 9*x**3 + 3*x**5 - 15*x + 5*x**2 = 0.
-1, 1, 2
Suppose 20 = 5*c, 4*v - 2*c - 12 = -0. Suppose 1 = 2*p + b - 2, -v*p + 2*b = 6. Determine s, given that 0*s - 1/5*s**4 + p*s**3 + 0 + 1/5*s**2 = 0.
-1, 0, 1
Let v(d) be the first derivative of -2*d**6 + 56*d**5/5 - 23*d**4 + 64*d**3/3 - 8*d**2 - 37. Find f such that v(f) = 0.
0, 2/3, 1, 2
Let z(r) be the first derivative of -2*r**3/3 + 8*r + 12. Factor z(u).
-2*(u - 2)*(u + 2)
Let c(j) be the third derivative of -j**7/1890 + 7*j**6/1080 - j**5/60 - j**4/8 + j**3 + 2*j**2 + 2. Suppose c(b) = 0. What is b?
-2, 3
Let j(u) = 3*u**2 - u - 5. Let i = 0 - 3. Let z(d) be the second derivative of d**2/2 - 5*d. Let o(r) = i*z(r) - j(r). Determine a, given that o(a) = 0.
-2/3, 1
Factor 0 - 15/2*i**4 - 40*i**2 - 10*i - 65/2*i**3.
-5*i*(i + 2)**2*(3*i + 1)/2
Let -2*b**3 - 5/2*b + 4*b**2 + 1/2 = 0. Calculate b.
1/2, 1
Let a(m) = 15*m. Let c be a(2). Let z be ((-9)/c)/(12/(-16)). Factor -z*r + 0 + 0*r**2 + 0*r**4 - 2/5*r**5 + 4/5*r**3.
-2*r*(r - 1)**2*(r + 1)**2/5
Let n(j) be the third derivative of j**5/120 - j**4/16 + j**3/6 + 5*j**2. Factor n(x).
(x - 2)*(x - 1)/2
Let n(a) = a**4 + 5*a**3 + 4*a**2 + 2*a - 2. Let g(q) = 2*q**4 + 11*q**3 + 9*q**2 + 5*q - 5. Let s(v) = 2*g(v) - 5*n(v). Suppose s(x) = 0. What is x?
-2, -1, 0
What is x in 20/13*x**4 + 2/13*x**5 + 108/13*x**2 + 72/13*x**3 + 0 + 54/13*x = 0?
-3, -1, 0
Let r(p) = 7*p**4 + 4*p**3 - 7*p**2 - p. Let y(m) = 7*m**2 - m**4 - m + 0*m**4 - 14*m**2 + 8*m**2. Let u(l) = r(l) + 3*y(l). Factor u(g).
4*g*(g - 1)*(g + 1)**2
Let t(c) be the third derivative of c**5/90 - c**4/6 - 7*c**3/9 + 7*c**2 - c. Suppose t(y) = 0. What is y?
-1, 7
Let a(d) = -d + 4. Let h be a(4). Let u(j) be the first derivative of h*j + 3 + 2/3*j**3 - j**2. Factor u(l).
2*l*(l - 1)
Let a(w) be the first derivative of 11*w**6/36 - 8*w**5/15 + w**4/3 - 2*w**3/3 - 1. Let x(t) be the third derivative of a(t). Factor x(r).
2*(5*r - 2)*(11*r - 2)
Factor 7/5*d**4 - 9/5*d**3 + d**2 - 1/5*d - 2/5*d**5 + 0.
-d*(d - 1)**3*(2*d - 1)/5
Suppose 0 = -5*m + 46 - 1. Let x = m + -6. Factor -6*v**2 - v**x + v + 6*v**2.
-v*(v - 1)*(v + 1)
Solve -1/3*p**2 - 16/3 + 8/3*p = 0.
4
Suppose -l + 5*z + 23 = 0, -2*l - 9 = -l + 3*z. Let c(b) be the second derivative of -l*b + 2/7*b**2 + 1/7*b**3 + 0 + 1/42*b**4. Suppose c(q) = 0. What is q?
-2, -1
Suppose -30*t = -94 + 4. Let -2/7*x**t - 2/7*x**5 + 0 + 6/7*x**2 - 6/7*x**4 + 4/7*x = 0. Calculate x.
-2, -1, 0, 1
Suppose -2*y**2 - 24*y + y**2 - 2*y**2 - 48 = 0. What is y?
-4
Suppose 45*d - 8 = 41*d. Let i(f) be the second derivative of 0 - f + 1/48*f**4 - 1/8*f**d + 0*f**3. Factor i(q).
(q - 1)*(q + 1)/4
Let x(l) be the first derivative of -2*l**3/3 + 4*l**2 - 6*l - 23. Factor x(i).
-2*(i - 3)*(i - 1)
Let s(t) = t**2 + 6*t - 3. Let g(w) = 5*w + 0 - 4 + w**2 + 6*w - 4*w. Let q(i) = -4*g(i) + 5*s(i). Factor q(c).
(c + 1)**2
Factor 3/2*w**2 + 0 + 0*w - 3*w**3.
-3*w**2*(2*w - 1)/2
Let o(k) be the first derivative of k**7/21 + 2*k**6/15 + k**5/10 - 3*k + 4. Let m(z) be the first derivative of o(z). Find p such that m(p) = 0.
-1, 0
Let a be (63/(-84))/((-6)/16). Let u(z) be the second derivative of 1/6*z**4 + 0 - z**a + 1/20*z**5 + 4*z - 1/6*z**3. Solve u(h) = 0 for h.
-2, -1, 1
Let g(f) = -f**2 + 6*f - 6. Let r be g(5). Let h(s) = 4*s**2 - 4*s + 2. Let a(c) = c**2. Let l(y) = r*h(y) + 2*a(y). Factor l(v).
-2*(v - 1)**2
Let o = -130 - -132. Let b(r) be the third derivative of -1/60*r**6 + 0*r + 0 + 0*r**5 + 0*r**3 + 2*r**o - 1/105*r**7 + 0*r**4. Factor b(u).
-2*u**3*(u + 1)
Let t(u) be the first derivative of -1/4*u**6 + 3/5*u**5 + 3/8*u**4 + 9 + 0*u**2 + 0*u - u**3. Let t(s) = 0. Calculate s.
-1, 0, 1, 2
Let w(b) be the first derivative of 0*b + b**3 + 3/2*b**2 - 4. Factor w(g).
3*g*(g + 1)
Let n(g) = -g + 4. Let y(u) = -u**2 + 5*u - 2. Let l be y(4). Let r be n(l). Solve -7*h**2 - 3 + 7 + 3*h**r - 2*h - 2*h**3 + 4*h = 0 for h.
-2, -1, 1
Let i(v) be the first derivative of -1/7*v**2 - 2/7*v**3 + 0*v + 2/7*v**4 - 4. Determine t, given that i(t) = 0.
-1/4, 0, 1
Let k = 71/372 + -3/124. Factor 1/2*n**2 + 5/6*n - 1/6*n**4 + 1/3 - k*n**3.
-(n - 2)*(n + 1)**3/6
Let u(g) = -13*g - 1. Let q be u(-1). Let o be (33/(-154))/(q/(-14)). Factor 1/4*v**2 + o*v - 1/2.
(v - 1)*(v + 2)/4
Let a(r) = -5*r**3 - 4*r**2 + 2*r + 6. Let g(v) = -v**3 + 1. Let s(d) = -a(d) + 6*g(d). Let x be s(3). Factor 3*c + 2*c**3 - 2 - c**3 - 3 + 6 + x*c**2.
(c + 1)**3
Let o(r) be the third derivative of r**5/36 + 5*r**4/3 + 40*r**3 - 47*r**2. Factor o(i).
5*(i + 12)**2/3
Let g(i) be the third derivative of 1/32*i**4 - 3*i**2 + 1/12*i**3 + 0*i + 0 + 1/240*i**5. Suppose g(p) = 0. Calculate p.
-2, -1
Let m(l) be the third derivative of 0*l + 1/20*l**5 + 1/20*l**6 + 0 + 2*l**2 - 1/4*l**4 - 1/70*l**7 + 0*l**3. Factor m(b).
-3*b*(b - 2)*(b - 1)*(b + 1)
Let l(f) be the second derivative of f**6/10 + 3*f**5/2 + 6*f**4 + 11*f**3 + 21*f**2/2 + 33*f. Factor l(d).
3*(d + 1)**3*(d + 7)
Let p(k) = -3*k**2 - 14*k - 62. Let m(n) = -n**2 + n + 1. Let g(d) = -2*m(d) + p(d). Factor g(t).
-(t + 8)**2
Let z(a) be the third derivative of a**2 + 0*a - 1/8*a**4 + 0 + 1/3*a**3 + 1/60*a**5. Factor z(n).
(n - 2)*(n - 1)
Let x be ((-24)/(-795))/4 + 0. Let s = 108/265 - x. Determine k so that 2/5 + 4/5*k + s*k**2 = 0.
-1
Find h, given that -2/7 + 2/7*h - 2/7*h**3 + 2/7*h**2 = 0.
-1, 1
Let i(o) be the first derivative of -o**6/3 + 2*o**5 - 3*o**4 - 4*o**3/3 + 7*o**2 - 6*o + 19. Factor i(f).
-2*(f - 3)*(f - 1)**3*(f + 1)
Let t(p) be the first derivative of 3/2*p**2 + 1/300*p**5 + 0*p**3 -