Find x such that c(x) = 0.
-2, -1, 0, 1
Suppose -13*j + 9 = -10*j. Let u(q) be the first derivative of -q**2 + 2/3*q**j - 3 - 1/6*q**4 + 2/3*q. What is c in u(c) = 0?
1
Let v be ((-2)/(-26))/(1 + 0). Let f = 133/39 - v. Factor -10/3*m**3 + f*m - 4/3 + 4/3*m**2.
-2*(m - 1)*(m + 1)*(5*m - 2)/3
Let w(c) be the third derivative of -c**9/24192 + c**8/20160 + c**7/2016 - c**6/720 + c**5/30 + 3*c**2. Let j(m) be the third derivative of w(m). Factor j(b).
-(b - 1)*(b + 1)*(5*b - 2)/2
Factor 0*t + 1/10*t**3 - 2/5 + 3/10*t**2.
(t - 1)*(t + 2)**2/10
Find l, given that 1/3*l**2 + 4/3 - 5/3*l = 0.
1, 4
Let w be 18/(-15)*(-12)/36. Solve w*b**3 + 0*b + 0 + 2/5*b**4 + 0*b**2 = 0 for b.
-1, 0
Let o(n) = n**5 - 7*n**4 + 3*n**3 + n**2 + 5*n. Let t(h) = -4*h**5 + 34*h**4 - 14*h**3 - 6*h**2 - 24*h. Let m(d) = 14*o(d) + 3*t(d). Solve m(s) = 0 for s.
-1, 0, 1
Suppose -2*p - 6 = -5*p. Factor -2*o**3 - 4*o**4 + 2*o**5 + 3*o**4 + 2*o**p + 4*o**4 - 5*o**4.
2*o**2*(o - 1)**2*(o + 1)
Factor -32/3*b**4 + 20/3*b**5 + 0 + 4/3*b**3 + 0*b + 8/3*b**2.
4*b**2*(b - 1)**2*(5*b + 2)/3
Let r be 1/(2 + (-14)/8). Suppose 2/3*a**2 - 1/3*a - 1/3*a**r - 1/3 - 1/3*a**5 + 2/3*a**3 = 0. What is a?
-1, 1
Let z(l) be the third derivative of -l**6/900 + l**5/225 - l**4/180 - 23*l**2. Factor z(o).
-2*o*(o - 1)**2/15
Let -4*w**3 + 14*w**2 - 2*w**4 - 8 - 2*w**2 + 0*w**3 - 2*w**4 + 4*w = 0. Calculate w.
-2, -1, 1
Suppose 0 = 5*j - 0*j - 10. Let g(q) be the second derivative of -2*q + 1/10*q**j - 1/60*q**4 + 0*q**3 + 0. Let g(a) = 0. What is a?
-1, 1
Let f = 7 - 3. Factor -3*v**3 - 11*v**3 - 2 + f*v**2 + 14*v - 2.
-2*(v - 1)*(v + 1)*(7*v - 2)
Let k be (-66)/8*4/(-18). Let a = -4/3 + k. Solve 1/2*v**5 - a*v**4 + 1/2*v + v**2 - 1/2 - v**3 = 0 for v.
-1, 1
Let h be 1 + (-1806)/(-15) + -1. Let b = -120 + h. Factor 1/5*u**2 + 1/5 + b*u.
(u + 1)**2/5
Let i = -99/116 + 32/29. Solve -1/8 + 1/8*y + i*y**2 = 0 for y.
-1, 1/2
Let f be -2*(54/(-120))/9. Let j(k) be the second derivative of 0*k**5 - 3*k + 0 + 0*k**3 + 0*k**2 + 1/14*k**7 + 0*k**4 - f*k**6. Factor j(x).
3*x**4*(x - 1)
What is c in 504*c + 2600/7*c**3 + 1024*c**2 + 16/7*c**5 - 196 + 348/7*c**4 = 0?
-7, -1, 1/4
Factor 1/4*v + 1/4*v**2 - 1/2.
(v - 1)*(v + 2)/4
Let t(z) = 10*z**2 - 4 + 2*z + z**2 - 5*z**2. Let a = 2 + 1. Let x(q) = -5*q**2 - q + 3. Let s(i) = a*t(i) + 4*x(i). Factor s(k).
-2*k*(k - 1)
Let p = -5 + 3. Let i = p + 2. Factor -2*n**3 - 2*n**4 - n**2 + 2*n**5 + 3*n**2 + i*n**2.
2*n**2*(n - 1)**2*(n + 1)
Find d, given that 4/9*d**3 - 4/9 - 14/9*d**2 + 14/9*d = 0.
1/2, 1, 2
Solve -1/5*h + 0 + 1/5*h**2 = 0.
0, 1
Let l(a) = 3*a**4 + 8*a**3 - a**2 + 2*a + 6. Suppose -2 = 3*x - 20. Let w(v) = v**4 + v**2 + 1. Let y(i) = x*w(i) - l(i). Factor y(d).
d*(d - 1)**2*(3*d - 2)
Let k(c) = c**2 - 10*c. Let j be k(10). Let o(t) be the third derivative of 0*t**4 - t**2 + 0*t + 0*t**3 + 1/735*t**7 + j*t**5 + 0 - 1/420*t**6. Factor o(a).
2*a**3*(a - 1)/7
Determine s so that 0 + 0*s + 2/11*s**4 + 0*s**3 + 0*s**2 = 0.
0
Let t be (4/(-8))/((-1)/4). Suppose -12 = -t*m - m. Factor -z**m - 4 + z**2 + 4.
-z**2*(z - 1)*(z + 1)
Let r(w) = -8*w**3 + 4*w**2 + 8*w - 4. Let y(a) = -a**3 + a**2 + a - 1. Let v = -6 - 0. Let l(p) = v*y(p) + r(p). Factor l(k).
-2*(k - 1)*(k + 1)**2
Let j = 18 + -18. Let o(y) be the third derivative of 1/630*y**7 + 0*y**6 + 0*y**3 + j*y**4 - 1/180*y**5 + 0 + 0*y + 2*y**2. Solve o(a) = 0.
-1, 0, 1
Let p = -7 + 11. Let b be (p/(-6))/(12/(-54)). Factor -3/5*f**b + 1/5*f**4 + 3/5*f + 1/5*f**2 - 2/5.
(f - 2)*(f - 1)**2*(f + 1)/5
Factor 5/9*i**2 + 1/3 - 1/9*i**3 - 7/9*i.
-(i - 3)*(i - 1)**2/9
Let q(r) be the third derivative of 2/3*r**4 + 1/15*r**5 - 8*r**2 + 0*r + 0*r**3 + 0. Let q(h) = 0. What is h?
-4, 0
Let o(g) be the first derivative of 1/3*g**2 + 1 + 0*g - 1/6*g**4 + 0*g**3. Solve o(c) = 0.
-1, 0, 1
Let i(q) = -2*q**2 + 8*q - 2. Let p be i(3). Factor -1/3*m + 0 + 2/3*m**p - 2/3*m**2 + 1/3*m**3.
m*(m - 1)*(m + 1)*(2*m + 1)/3
Let y(k) be the second derivative of -k**8/560 + k**6/120 + 4*k**3/3 - 7*k. Let i(f) be the second derivative of y(f). Factor i(u).
-3*u**2*(u - 1)*(u + 1)
Let q = 52 - 37. Let o be 6/q + (-9)/60. Factor -a**3 - o - 1/4*a**4 - a - 3/2*a**2.
-(a + 1)**4/4
Let j(a) = -a**4 - a**2 + 1. Let m(r) = -44*r**4 - 4*r**3 + 56*r**2 + 4*r - 8. Let h(k) = 4*j(k) + m(k). Determine i so that h(i) = 0.
-1, -1/3, 1/4, 1
Suppose -16 = 5*w + 4*o, 4*w + o + 3*o + 16 = 0. Suppose w = 2*t - 3*t. Factor t*a**2 + 10*a**4 - 4*a**3 + 2*a**2 - 8*a**4.
2*a**2*(a - 1)**2
Factor 13*q**2 - 12*q**2 - 17 + 5 + 2*q**2.
3*(q - 2)*(q + 2)
Let a(c) be the first derivative of -9/10*c**6 - 93/10*c**4 - 6/5*c + 2 - 48/5*c**3 - 51/10*c**2 - 114/25*c**5. Solve a(p) = 0 for p.
-1, -2/9
Let f(z) be the third derivative of 2*z**7/21 - 11*z**6/15 - 17*z**5/15 + 5*z**4/3 - 5*z**2. Factor f(d).
4*d*(d - 5)*(d + 1)*(5*d - 2)
Let v be (-33)/(-15) + (-9)/(-5) + -1. Let p(c) be the second derivative of c - 1/24*c**4 + 0*c**2 + 1/80*c**5 + 1/24*c**v + 0. Factor p(h).
h*(h - 1)**2/4
Let m(h) = -10*h**5 - 15*h**4 + 10*h**3 + 15*h**2 - 10*h - 15. Let y(z) = z**5 + z**4 + z**2 + z + 1. Let n(d) = -m(d) - 5*y(d). Determine u so that n(u) = 0.
-2, -1, 1
Let d = -124 - -126. Factor -4/9*p + 0 - 10/9*p**d.
-2*p*(5*p + 2)/9
Let q(z) = -6*z**2 - 155*z + 28. Let g be q(-26). Suppose -1/2*i**g + 0*i + 1/2 = 0. What is i?
-1, 1
Factor 8/3*i - 1/3*i**3 - 5/3*i**2 + 16.
-(i - 3)*(i + 4)**2/3
Suppose -3*q = -75 + 18. Factor -4*v**4 - 7*v**4 + 4*v - 2*v + 24*v**3 + 4*v**2 - q*v**2.
-v*(v - 1)**2*(11*v - 2)
Let k(o) = 2*o**2 - 11*o - 1. Let q(b) = 3 + 3 + 6*b - 6*b**2 - 5 + 5*b**2. Let s(f) = 3*k(f) + 5*q(f). Factor s(w).
(w - 2)*(w - 1)
Let s(u) be the second derivative of u**5/5 - 2*u**4 + 6*u**3 + 4*u. Factor s(a).
4*a*(a - 3)**2
Let o be 213/(-54) - (3*-1 + -1). Let u(d) be the first derivative of 1/4*d**2 + 1/3*d + 2 + o*d**3. Find c, given that u(c) = 0.
-2, -1
Let b(d) = -d + 0 + 4 - d**2 - 2. Let i(j) = 5*j**2 + 5*j - 9. Suppose 3*m - h = 11, -2*m + 0*m + h = -7. Let r(u) = m*i(u) + 18*b(u). Factor r(x).
2*x*(x + 1)
Let f be 39/12 - 7/28. Let r(w) be the first derivative of -2/7*w - 3/7*w**2 - 1/14*w**4 + f - 2/7*w**3. Factor r(u).
-2*(u + 1)**3/7
Suppose 30*w = 34*w - 8. Let v(t) be the first derivative of -1/10*t**5 + 0*t**w + 1/8*t**4 + 0*t + 1/6*t**3 - 1/12*t**6 - 1. Find h such that v(h) = 0.
-1, 0, 1
Let t(b) be the second derivative of -b**5/4 - 5*b**4/12 + 10*b**3/3 + 10*b**2 + 3*b. What is m in t(m) = 0?
-2, -1, 2
Let u(g) be the second derivative of g**7/21 + 2*g**6/15 - 2*g**5/5 - g**4/3 + g**3 - 12*g. Let u(o) = 0. What is o?
-3, -1, 0, 1
Let o be 0/(((-1)/(-4))/(16/128)). Factor 2*g**4 + o*g - 1/2*g**3 - g**2 + 0 + 3/2*g**5.
g**2*(g + 1)**2*(3*g - 2)/2
Let s(w) = 4*w**2 + 8*w + 1. Let v(p) = 7*p**2 + 15*p + 3. Let g(m) = -5*s(m) + 3*v(m). Solve g(t) = 0.
-4, -1
Let k(t) be the third derivative of t**7/1050 + t**6/300 + t**5/200 - 5*t**4/24 + 9*t**2. Let s(i) be the second derivative of k(i). Find g such that s(g) = 0.
-1/2
Suppose 2*r + 5 - 9 = 0. Let l(j) be the third derivative of 1/32*j**4 - 3*j**r + 0*j + 0 - 1/24*j**3 - 1/120*j**5. Factor l(x).
-(x - 1)*(2*x - 1)/4
Suppose -26*c = -18*c + 30*c. Factor c + 2/7*q**2 + 4/7*q.
2*q*(q + 2)/7
Let d(g) be the second derivative of -g**10/75600 + g**8/8400 - g**6/1800 - g**4/4 - g. Let j(c) be the third derivative of d(c). Suppose j(f) = 0. What is f?
-1, 0, 1
Determine x, given that 0 + 4/3*x**5 - 16/3*x - 16/3*x**4 + 4*x**3 + 16/3*x**2 = 0.
-1, 0, 1, 2
Factor -8*s**3 - 20*s**4 + 45*s**4 - 4 + 8*s - 21*s**4.
4*(s - 1)**3*(s + 1)
Let c(b) be the second derivative of 1/4*b**2 + 1/3*b**4 - 1/2*b**3 + 0 - 2*b - 3/20*b**6 + 3/20*b**5. Determine w, given that c(w) = 0.
-1, 1/3, 1
Let q(w) = -10*w - w**2 + 1 + 17*w - w**3 - 6*w. Let s(o) = -2*o**4 - 12*o**3 - 6*o**2 + 10*o + 10. Let j(d) = 10*q(d) - s(d). Factor j(y).
2*y**2*(y - 1)*(y + 2)
Factor h**5 + 3*h - 12*h**4 + 0*h**5 + 24*h**3 + h**5 + 3*h - 20*h**2.
2*h*(h - 3)*(h - 1)**3
Let f(w) be the third derivative of w**7/2205 + w**6/315 + w**5/126 + w**4/126 + 10*w**2. Let f(k) = 0. What is k?
-2, -1, 0
Factor 2 + 2*l**2 - 2 + 8*l + 4 + 4.
2*(l + 2)**2
Suppose 0 = -71*t + 74*t. What is y in 4/3*y + 4/3*y**4 - y**3 - 4/3*y**2 + t - 1/3*y**5 = 0?
-1, 0, 1, 2
Let o(f) = f**3 