1 + 4/11*v**2 - 2/11*v**p - c*v**4 = 0.
-2, -1, 1
Suppose -17 = -4*w - 2*c - 1, 3*w - 30 = 3*c. Let 0 - 16/3*o**3 - w*o**2 - 4/3*o + 20/3*o**5 + 6*o**4 = 0. What is o?
-1, -1/2, -2/5, 0, 1
Let g(c) be the second derivative of -c**7/210 + c**6/120 + c**5/60 - c**4/24 - c**2 + c. Let s(u) be the first derivative of g(u). Let s(w) = 0. What is w?
-1, 0, 1
Let s(c) = 16*c**4 - 66*c**2 + 50*c + 18. Let g be ((-60)/(-35))/((-2)/(-42)). Let y(x) = -x**4 + x**3 + x**2 - x - 1. Let t(k) = g*y(k) + 2*s(k). Factor t(w).
-4*w*(w - 4)**2*(w - 1)
Let m(z) = 12 + 14*z**2 + 4*z - 2*z**2 + 2*z**4 + 12*z**2 + 12*z**3. Let a(y) = -1 + 3 - 4 - y + 3. Let s(v) = 12*a(v) - m(v). Factor s(i).
-2*i*(i + 2)**3
Let v(a) be the first derivative of 0*a + 2 + 1/5*a**4 - 2/15*a**3 + 2/25*a**5 - 2/5*a**2. Determine z, given that v(z) = 0.
-2, -1, 0, 1
Let k(t) be the first derivative of -2*t**5/5 + 3*t**4/2 - 2*t**3/3 - 3*t**2 + 4*t - 8. Determine n, given that k(n) = 0.
-1, 1, 2
Let z(s) be the second derivative of -11*s**5/10 + 10*s**4/3 - 7*s**3/3 - 2*s**2 - s - 24. Find h, given that z(h) = 0.
-2/11, 1
Suppose 5*a**4 + 2*a**4 - 3*a**4 = 0. What is a?
0
Let h(x) = 18*x**2 - 24*x + 12. Suppose 0 = l + 5*a - a + 24, 5*l - 5 = 5*a. Let q(v) = v**3 + 1. Let m(d) = l*q(d) + h(d). Factor m(n).
-2*(n - 2)**2*(2*n - 1)
Let z be (-3)/(-315) + 1 + 3 + -4. Let f(n) be the third derivative of 0*n**3 - 1/336*n**8 + 0*n**6 + 0*n**5 + 0*n**4 - z*n**7 - 3*n**2 + 0 + 0*n. Factor f(b).
-b**4*(b + 2)
Suppose 2*q = 5*q. What is g in q*g**2 + 14*g**2 - 4 - 4*g**3 + 10*g - 6*g**3 + 4*g**2 - 14*g**4 = 0?
-1, 2/7, 1
Let i(w) be the second derivative of 0 - 1/5*w**3 + 3/10*w**2 - 8*w - 3/20*w**4. Find m, given that i(m) = 0.
-1, 1/3
Let i(u) = -10*u**3 + u**2 + 5*u + 17. Let x(y) = 7*y**3 - y**2 - 3*y - 11. Let f(r) = 5*i(r) + 7*x(r). Let f(m) = 0. Calculate m.
-2, 2
Let v = 89/10 + -42/5. Determine i so that 0*i + v*i**3 + 0 + 1/2*i**4 - 1/2*i**5 - 1/2*i**2 = 0.
-1, 0, 1
Let c be 1/4 - 33/(-12). Let p be (2/(-6))/((-1)/6). Factor 1 + 8*y**4 + 2*y + 10*y**3 - c - 12*y - 6*y**p + 0.
2*(y - 1)*(y + 1)**2*(4*y + 1)
Factor 2/5 + 8/15*c + 2/15*c**2.
2*(c + 1)*(c + 3)/15
Let a(j) = j**3 + 2*j**2 - 5*j - 2. Let c be a(-3). Suppose -2*m - 6 = -c*m. Determine y so that 2*y**4 - 6*y + 6*y + 2*y**m = 0.
-1, 0
Let z(q) = -2*q**2 - 8*q + 10. Let o(v) = -3*v**2 - 8*v + 11. Let f(u) = -4*o(u) + 5*z(u). Let f(h) = 0. What is h?
1, 3
Let d = 1/16 - 55/368. Let n = d - -29/69. Factor n*g**2 + 2/3*g + 1/3.
(g + 1)**2/3
Let k = -181 - -907/5. Factor 0 - o**3 + 0*o - k*o**2.
-o**2*(5*o + 2)/5
Let t(a) = a**3 + a. Let l(g) = -3*g**3 + 15*g**2 + 7*g - 15. Let q(w) = -l(w) + 2*t(w). Determine p, given that q(p) = 0.
-1, 1, 3
Let u be (-12)/30 - (-81)/15. Solve -u*x**2 + 5*x**2 + 2*x**2 + 2*x = 0.
-1, 0
Let v(z) be the first derivative of 0*z**4 + 0*z**3 - 4 + 0*z**2 + 0*z - 1/10*z**5 + 1/24*z**6. Factor v(r).
r**4*(r - 2)/4
Let k be -3 - 100*4/(-12). Let w = k - 443/15. Determine a so that -2*a**2 + 48/5*a**3 + 0 - w*a + 56/5*a**5 + 22*a**4 = 0.
-1, -1/4, 0, 2/7
Let k(t) be the second derivative of 0 + 1/180*t**5 - 1/9*t**3 + 2*t + 1/72*t**4 + 1/2*t**2. Let g(q) be the first derivative of k(q). Factor g(v).
(v - 1)*(v + 2)/3
Let l(d) be the third derivative of d**2 + 0 + 0*d**4 + 1/180*d**5 + 0*d**3 + 0*d. Find k such that l(k) = 0.
0
Let s(l) be the third derivative of -l**5/60 - 10*l**2. Factor s(o).
-o**2
Let l(i) = -i**3 + 9*i**2 - 8*i + 2. Let q be l(8). Let 14*v**3 - q - 45*v**2 + 6*v - 15*v**2 - 14 + 66*v = 0. What is v?
2/7, 2
Let z(u) be the first derivative of 1/8*u**4 - 1/18*u**3 - 1/10*u**5 + 1/36*u**6 - 3 + 0*u**2 + 0*u. Suppose z(d) = 0. Calculate d.
0, 1
Let l be 0 + (74/70 - 1). Let o(n) be the first derivative of 2 + 0*n**2 + 0*n + 0*n**3 - 1/14*n**4 - l*n**5. Solve o(r) = 0.
-1, 0
Let p(a) be the first derivative of 5*a**6/6 - a**5/2 - 5*a**4/8 - 20. Determine w so that p(w) = 0.
-1/2, 0, 1
Let v(q) be the third derivative of -q**6/30 + 4*q**5/15 - 5*q**4/6 + 4*q**3/3 + 23*q**2. Factor v(d).
-4*(d - 2)*(d - 1)**2
Let t(c) be the third derivative of -10*c**2 + 0*c - 1/3*c**3 + 1/30*c**5 - 1/120*c**6 + 1/24*c**4 + 0. Let t(s) = 0. Calculate s.
-1, 1, 2
Let d = -93 - -93. Let h(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c**7 + d*c**5 + 0*c + 1/420*c**6 + 3*c**2 - 1/1176*c**8 + 0. Let h(w) = 0. What is w?
-1, 0, 1
Let o(b) be the second derivative of -b**5/70 + b**4/14 - 2*b**3/21 + 4*b. Factor o(l).
-2*l*(l - 2)*(l - 1)/7
Let k(c) = c**2 + c. Let f(d) = -9*d**2 + 86*d - 405. Let z(b) = f(b) + 4*k(b). Factor z(x).
-5*(x - 9)**2
Let f(r) = -4*r**2 + 4*r + 3. Let z(i) = -17*i**2 + 16*i + 11. Let j(w) = -22*f(w) + 6*z(w). What is m in j(m) = 0?
0, 4/7
Let z(b) be the second derivative of 3*b**6 - b - 2*b**3 - 3*b**4 + 0 + 0*b**2 - 25/14*b**7 + 33/20*b**5. Factor z(l).
-3*l*(l - 1)**2*(5*l + 2)**2
Solve -2*i**4 - 12 - 15*i**2 - 18*i**3 - 22*i**2 - 38*i - 5*i**2 = 0 for i.
-6, -1
Factor r**2 + r + 0 + 1/4*r**3.
r*(r + 2)**2/4
Factor -2/11*c**2 + 2*c - 20/11.
-2*(c - 10)*(c - 1)/11
Let s(w) = w**3 + w**2 - w + 1. Let b(n) = n**4 - 3*n**2 + n - 1. Let c(m) = -4*b(m) - 4*s(m). Factor c(u).
-4*u**2*(u - 1)*(u + 2)
Factor -8/7 - 2/7*s**2 + 8/7*s.
-2*(s - 2)**2/7
Let t = 12569382 - 20236703083/1610. Let m = -1/322 + t. Factor 36/5*k**4 + 0*k + 0 - 27/5*k**3 - 3*k**5 + m*k**2.
-3*k**2*(k - 1)**2*(5*k - 2)/5
Let u(f) = 2. Let z = -28 - -54. Suppose 5*s = -2*t + 18, 0*t = -5*s - 4*t + z. Let j(v) = v**2 + 9. Let o(b) = s*j(b) - 9*u(b). Factor o(p).
2*p**2
Factor -16 - 24*m - 2*m**3 - 8*m**2 + 7*m**2 - 4*m**2 - 7*m**2.
-2*(m + 2)**3
Suppose 2*u - 4 = 0, 5*c + 2*u = 11 + 3. Factor -3/5 + 1/5*b**3 - b - 1/5*b**c.
(b - 3)*(b + 1)**2/5
Factor -15 - 7*m + 5 + 50*m**2 + 2*m.
5*(2*m - 1)*(5*m + 2)
Suppose -13 + 38 = 5*x. Factor 0 - 2/3*p**3 + 1/3*p + 0*p**4 + 0*p**2 + 1/3*p**x.
p*(p - 1)**2*(p + 1)**2/3
Let s(b) = 4*b**2 + 21*b + 11. Let a(h) = 6*h**2 + 32*h + 16. Suppose 0 = 2*y + 6 + 4. Let j(o) = y*a(o) + 8*s(o). Factor j(q).
2*(q + 2)**2
Let h(t) = -3*t**3 + 15*t - 8. Let f(s) = -5*s**3 + 30*s - 15. Let v(u) = -2*f(u) + 5*h(u). Factor v(q).
-5*(q - 1)**2*(q + 2)
Let w = 6 - 2. Suppose -2*b**2 - b**w - b**4 - 8*b**3 - 2*b**4 - 4*b**4 = 0. What is b?
-1/2, 0
Let n = -33 - -36. Let r(o) be the first derivative of -8/5*o - 4/5*o**2 - 2/15*o**n + 4. Factor r(f).
-2*(f + 2)**2/5
Factor -8*v - 2 - 11*v**4 + 8*v**4 - 20*v**2 - 14*v**3 + 2.
-v*(v + 2)**2*(3*v + 2)
Suppose 4 - 42 = -2*v. Suppose s - 8 - 5 = -4*k, 5*s = 3*k + v. Find g, given that -g + 1/3*g**s + 2/3*g**2 + 2/3*g**3 + 1/3 - g**4 = 0.
-1, 1
Let q(y) be the first derivative of y**6/27 - 4*y**5/45 - y**4/9 + 16*y**3/27 - 7*y**2/9 + 4*y/9 + 10. Factor q(o).
2*(o - 1)**4*(o + 2)/9
Let q = 71 - 71. Factor 2/9*c**3 - 2/3*c + 4/9 + q*c**2.
2*(c - 1)**2*(c + 2)/9
Let l(t) = -t**2 - 8*t + 7. Let q be l(-8). Let g(p) = p**3 - 6*p**2 - 6*p - 4. Let o be g(q). Suppose -o*w**3 + 8*w - 1 + 7 - 2*w + 3*w = 0. What is w?
-1, 2
Solve -2/5*z**2 - 4/5 + 6/5*z = 0 for z.
1, 2
Let q(v) be the second derivative of -1/12*v**4 - 1/9*v**3 + 0 + 3*v + 1/6*v**2. Factor q(g).
-(g + 1)*(3*g - 1)/3
Let y(o) be the third derivative of -o**5/160 - o**4/64 + o**3/8 - 8*o**2. Factor y(i).
-3*(i - 1)*(i + 2)/8
Let b(o) be the first derivative of o**6/600 + o**5/150 - o**4/120 - o**3/15 + 7*o**2/2 + 6. Let p(j) be the second derivative of b(j). Factor p(k).
(k - 1)*(k + 1)*(k + 2)/5
Let r(z) be the first derivative of 5*z**6/6 - z**5 - 45*z**4/4 - 55*z**3/3 - 10*z**2 - 8. Factor r(o).
5*o*(o - 4)*(o + 1)**3
Let o = 211/65 - -145/13. Let v(q) be the first derivative of -2/3*q - 14*q**3 + 3 - 45/2*q**4 - o*q**5 - 13/3*q**2. Factor v(d).
-2*(3*d + 1)**3*(4*d + 1)/3
Suppose 9*a + v + 4 = 12*a, -2*v - 8 = -5*a. Let -1/2*k**2 + a - 1/4*k**3 + 1/2*k**4 + 1/4*k = 0. Calculate k.
-1, 0, 1/2, 1
Let m(k) be the second derivative of -7/12*k**3 + 0 - 1/4*k**2 - 9/28*k**7 + 9/20*k**5 - 5/12*k**4 - 4*k + 9/20*k**6. Factor m(x).
-(x - 1)**2*(3*x + 1)**3/2
Let x be (6/5)/(9/30). Let q(h) = -2*h**3 - 29*h**2 - 11*h. Let v(m) = m**3 + 10*m**2 + 4*m. Let p(k) = x*q(k) + 11*v(k). Suppose p(f) = 0. Calculate f.
0, 2
Let c(f) be the third derivative of -1/3*f**6 - 2/3*f**3 - 1/12*f**4 + 0*f + 2*f**2 + 23/30*f**5 +