 l**4 + 4/5*l**5 + 6. Solve p(g) = 0.
-2, 1
Find d, given that 0*d**2 - 7 + 3*d**2 - 4 - 9*d - 1 = 0.
-1, 4
Let y = -48 - -577/12. Let k(z) be the second derivative of 0*z**2 - 2*z - 1/24*z**4 + 0 - y*z**3. Factor k(c).
-c*(c + 1)/2
Let y(z) be the first derivative of 3*z**4 + 44*z**3/3 + 24*z**2 + 16*z + 10. Suppose y(h) = 0. Calculate h.
-2, -1, -2/3
Let u = -1/174 + 59/174. Factor 0*z + 0*z**3 + 0*z**2 + u*z**4 + 0 + 1/3*z**5.
z**4*(z + 1)/3
Let g be 5 + -3 - 38/1. Let y = g + 109/3. Suppose 2/3 - 2/3*x**2 + 1/3*x - y*x**3 = 0. What is x?
-2, -1, 1
Find x such that -16/11*x**3 - 2/11*x**4 - 42/11*x**2 + 0 - 36/11*x = 0.
-3, -2, 0
Factor 5/2 + 0*d**2 - 5/4*d**3 + 15/4*d.
-5*(d - 2)*(d + 1)**2/4
What is u in 20*u - 10*u**3 + 5 - 6*u**2 + 20*u**5 + 5*u**4 - 4*u**2 - 30*u**3 = 0?
-1, -1/4, 1
Let g(i) = -5*i**2 + 2 - 9 - 2*i**2 + 5*i + 3*i. Let z(u) = u**2 - u + 1. Let w(l) = -g(l) - 6*z(l). Factor w(x).
(x - 1)**2
Suppose -3*y + 6 = -3. Solve 2*c**5 - 5*c**5 + 3*c**4 + c**y + 6*c**3 - c**3 = 0 for c.
-1, 0, 2
Let x(p) be the third derivative of -p**6/105 + p**5/210 - 11*p**2. Factor x(k).
-2*k**2*(4*k - 1)/7
Suppose 2*t + t + 7 = -4*r, 12 = -3*r. Let 10*h**t + 2*h**3 - 50*h**4 + 38*h**4 + 4*h**5 - 4*h**2 = 0. Calculate h.
0, 1
Let v(m) be the first derivative of 7/300*m**5 + 0*m - m**2 + 1/15*m**3 - 3 - 3/40*m**4. Let f(g) be the second derivative of v(g). Find i, given that f(i) = 0.
2/7, 1
Let q = 25 + -16. Factor q*l + 0*l**2 - 2*l**2 + 0*l**2 - 5*l.
-2*l*(l - 2)
Suppose 2*b + 1 = 11. Suppose b*q - 21 = -1. Determine d so that -49/5*d**5 + 0*d + 77/5*d**q + 4/5*d**2 - 32/5*d**3 + 0 = 0.
0, 2/7, 1
Suppose -4*q = 5*d - 6 - 7, 0 = -q - 3. Let g = d - 5. Factor -8*c + c**4 - 10*c**3 + c**4 + 16*c**2 + g*c**4.
2*c*(c - 2)**2*(c - 1)
Let l(z) be the second derivative of -z**6/5 + 11*z**5/10 - 5*z**4/2 + 3*z**3 - 2*z**2 + 7*z. Factor l(r).
-2*(r - 1)**3*(3*r - 2)
Let w(c) be the first derivative of -c**5/80 + c**4/16 - c**3/12 + 6*c - 5. Let q(n) be the first derivative of w(n). Suppose q(l) = 0. What is l?
0, 1, 2
Suppose 5*v = 2*v. Factor -1 + o**2 + v*o - o + 0 + o**3.
(o - 1)*(o + 1)**2
Factor 11*o**2 + o**3 + 2*o - 10*o**2 - 2*o**3.
-o*(o - 2)*(o + 1)
Let u = 9 - 6. Suppose -9*p**u + 9*p**3 + 3*p - 3*p**3 = 0. Calculate p.
-1, 0, 1
Let t(y) be the third derivative of 0*y + 2*y**2 - 1/1176*y**8 - 1/84*y**4 + 0 + 0*y**3 - 1/70*y**6 - 4/735*y**7 - 2/105*y**5. Let t(a) = 0. What is a?
-1, 0
Let r be (-52)/(-16) + -4 - -4. Let w = r + -7/4. Factor 0 + 3/2*z**2 + w*z.
3*z*(z + 1)/2
Let y = 22 + -87/4. Solve 1/4 - 3/4*a**4 + 1/2*a**2 - 3/4*a + 1/2*a**3 + y*a**5 = 0.
-1, 1
Let k(l) = -11*l**3 - l**2 - 5*l + 5. Suppose -4*f + 3 = -17. Let n(u) = -12*u**3 - 2*u**2 - 6*u + 6. Let a(x) = f*n(x) - 6*k(x). Factor a(i).
2*i**2*(3*i - 2)
Let c(x) be the third derivative of 0*x**3 - 1/12*x**4 - 1/30*x**5 + 0*x + 0 - 5*x**2. Find k, given that c(k) = 0.
-1, 0
Let a(f) = -37*f**3 + 21*f**2 - 7*f. Let r(g) = -18*g**3 + 10*g**2 - 3*g. Let n(x) = -2*a(x) + 5*r(x). Suppose n(v) = 0. What is v?
0, 1/4
Let u = 29 - -6. Factor 11*k - 9*k**2 - 3*k**2 + 33 - u - 4*k**2 + 7*k**3.
(k - 1)**2*(7*k - 2)
Let p be 4 - (2 - -2 - 0). Let b(d) be the third derivative of 0 + d**2 + p*d + 0*d**3 + 1/12*d**4 - 1/30*d**5. Determine g so that b(g) = 0.
0, 1
Let p be (-6)/(-2)*(7/21 + 1). Let k(h) be the second derivative of 0 - 4*h + h**2 + 1/12*h**p + 1/2*h**3. Factor k(j).
(j + 1)*(j + 2)
Let s = 2699/2 + -1337. Determine v so that -8*v - 19/2*v**3 - 7/2*v**4 - 2 - s*v**2 - 1/2*v**5 = 0.
-2, -1
Let o(z) be the third derivative of -z**3 + 1/30*z**5 + 1/6*z**4 + 0*z + 0 + 2*z**2. Factor o(v).
2*(v - 1)*(v + 3)
Let s = 1 - -1. Let s*n**2 + 0 + 2 - 4*n + 0 = 0. Calculate n.
1
Let m = -1 + 4. Factor 0*t**4 - 4*t**2 - m*t**4 - 3*t**3 + 3*t**5 + 7*t**2.
3*t**2*(t - 1)**2*(t + 1)
Let p(b) be the second derivative of -b**4/6 + 4*b**3/3 - b. Suppose p(y) = 0. What is y?
0, 4
Let h(d) = 3*d - 1. Let x be h(1). Determine m, given that 7*m - 3*m - 2*m**2 - x*m = 0.
0, 1
Let i(z) = z**2 + 2. Let o be i(0). Let s be (6/(-9))/(o/(-12)). Factor 18*c**4 - s*c**5 - 10*c**5 - 6*c**3 + 2*c**3.
-2*c**3*(c - 1)*(7*c - 2)
Let h = -2 - -8. Let o(w) = 6*w**2 - 8*w + 2. Let x(f) = 7*f**2 - 9*f + 2. Let u(s) = h*o(s) - 5*x(s). Factor u(q).
(q - 2)*(q - 1)
Factor 0 - 6/7*l + 2/7*l**2.
2*l*(l - 3)/7
Let j be (-4)/(-14) + (-38)/(-14). Suppose i = -j + 5. Factor 4*n + 0 + 9*n**2 - 11*n**i - 2.
-2*(n - 1)**2
Let v be (-4)/(13/(-4) + 3). Suppose 4*f + 1 = -2*d - 3, -4*d + 4*f + v = 0. Factor 0*k + 0 - 2/7*k**d - 4/7*k**3.
-2*k**2*(2*k + 1)/7
Let z(l) be the third derivative of -8/21*l**3 + 2/245*l**7 + 3*l**2 + 0 + 11/420*l**6 + 0*l + 1/1176*l**8 + 1/105*l**5 - 1/7*l**4. Factor z(i).
2*(i - 1)*(i + 1)*(i + 2)**3/7
Let o be (2/(-8))/((-3)/8). Let j be -7 + 13 + -1 + -3. Factor o*m**j - 2/3*m + 0.
2*m*(m - 1)/3
Let d be 198/255 + -2 - -2. Let z = d - -2/85. Suppose 2/5*l**2 + 0 - z*l = 0. What is l?
0, 2
Let h(r) be the first derivative of r**6/24 - r**4/4 - r**3/6 + 3*r**2/8 + r/2 - 5. Solve h(u) = 0.
-1, 1, 2
What is v in 9 - 12 - 6*v**2 - 3*v**2 + 9*v + 3*v**3 = 0?
1
Let b(l) = l + 3. Let o be b(4). Let f = -7 + o. Factor 0*n**2 + f - 2/9*n + 2/9*n**3.
2*n*(n - 1)*(n + 1)/9
Let c(l) = -5*l**3 + l**2. Let m be c(1). Let i = -2 - m. Determine z, given that z - 4 - 12*z**2 - 5*z**3 - 10*z + i = 0.
-1, -2/5
Let x(o) be the second derivative of 2*o**6/35 - 11*o**5/35 + o**4/7 + 22*o**3/21 - 12*o**2/7 + 33*o. Find n, given that x(n) = 0.
-1, 2/3, 1, 3
Let v(j) = -2*j**2 - 2*j - 11. Let u(b) = b**2 + b + 10. Let x(y) = 5*u(y) + 4*v(y). Factor x(o).
-3*(o - 1)*(o + 2)
Suppose -a = -1 + 13. Let k(u) = u**5 + u**2 - 1. Let j(m) = 10*m**5 + 2*m**3 + 12*m**2 - 12. Let o(s) = a*k(s) + j(s). Factor o(r).
-2*r**3*(r - 1)*(r + 1)
Find f such that -1 + 3 + 5*f**2 + 8 + 15*f = 0.
-2, -1
Let v(k) be the second derivative of k**6/900 - k**5/100 - k**4/15 - 5*k**3/6 - 6*k. Let h(t) be the second derivative of v(t). Factor h(i).
2*(i - 4)*(i + 1)/5
Let w(u) be the third derivative of 11*u**8/112 + 9*u**7/70 - u**6/20 + 10*u**2. Suppose w(c) = 0. What is c?
-1, 0, 2/11
Let c(b) be the third derivative of b**6/180 + b**5/45 - b**4/36 - 2*b**3/9 + 8*b**2. Let c(r) = 0. Calculate r.
-2, -1, 1
Let q(m) be the first derivative of m**4/34 + 20*m**3/51 + 32*m**2/17 + 64*m/17 - 28. Factor q(g).
2*(g + 2)*(g + 4)**2/17
Let n be 1/(-4)*(-400)/70. Solve 4/7 + 2*i**3 - 2*i - n*i**4 + 6/7*i**2 = 0.
-1, 2/5, 1
Let v(w) be the second derivative of -w**6/285 - 2*w**5/95 - 5*w**4/114 - 2*w**3/57 - 21*w. Find l, given that v(l) = 0.
-2, -1, 0
Let n = 8 + -20. Let b be ((-1)/(-3))/((-2)/n). Factor 0*y**2 - y**b - y**3 + 2 - y**2 + y.
-(y - 1)*(y + 1)*(y + 2)
Let b(l) be the second derivative of -l**7/21 - l**6/15 + l**5/5 + l**4/3 - l**3/3 - l**2 - 2*l. Find y such that b(y) = 0.
-1, 1
Let a(c) = c**3 + 5*c**2 - 2. Let z be a(-5). Let m be (3 - 8)*z/5. Find f, given that -f**3 - f - 2 - 3*f**3 - f**3 + 8*f**m = 0.
-2/5, 1
Let y(l) be the second derivative of -l**6/120 + l**5/60 + l**2/2 - 2*l. Let c(z) be the first derivative of y(z). Factor c(v).
-v**2*(v - 1)
Let g(x) = -x**3 - 4*x**2 + 4*x - 3. Let w be g(-5). Factor -w*u**2 + 2*u**4 + 2*u**3 - 2*u**2 + 0*u**3 + 0*u**2.
2*u**2*(u - 1)*(u + 2)
Let -3*p + 17*p**3 + 2*p**4 - 8*p**3 + 9*p**4 - 5*p**4 = 0. What is p?
-1, 0, 1/2
Let t(v) be the first derivative of -3*v**5/5 - 6*v**4 - 16*v**3 - 52. Factor t(y).
-3*y**2*(y + 4)**2
Let u be (-5)/(-3) + 1/3. Let q(i) be the second derivative of -1/9*i**4 + 1/30*i**5 + 1/9*i**3 + 0*i**u - i + 0. Factor q(w).
2*w*(w - 1)**2/3
What is k in -4/5*k + 2/5*k**4 - 2/5*k**2 + 4/5*k**3 + 0 = 0?
-2, -1, 0, 1
Let z be (-8)/(-24)*(1 - (-3)/3). Factor 4/3*a + z*a**2 + 0.
2*a*(a + 2)/3
Let s be 21/14*(-28)/(-6). Let g = -5 + s. Factor 1/4*c**4 + 0*c + 0*c**g + 0 + 1/4*c**3.
c**3*(c + 1)/4
Factor -10 + 3 + 20 + 23 - 12*x - 3*x**2.
-3*(x - 2)*(x + 6)
Let z(m) be the second derivative of -m**4/3 - 8*m**3/9 - 2*m**2/3 - 15*m. Factor z(w).
-4*(w + 1)*(3*w + 1)/3
Determine b so that 6/17*b**3 - 4/17*b + 0 - 2/17*b**2 = 0.
-2/3, 0, 1
Let w be 4 + (-12)/(-9) + 1818/(-351). Factor -10/13*q**2 - 4/13*q - 8/13*q**3 + 0 - w*q**4.
-2*q*(q + 1)**2*(q + 2)/13
Let x(n) be the third deriv