/25 - 363/25. Let z = o + 15. Solve z*y**2 + 0 + 2/5*y = 0.
-1, 0
Suppose -17 = 2*v + 5*w, 4*v + 0*v - w = -1. Let t be v/3*-3 - -1. Factor 3*p**5 + 2*p + t*p**2 - 5*p**5 - 9*p**3 - 7*p**2 - 3*p - 7*p**4.
-p*(p + 1)**3*(2*p + 1)
Let 4/5*i**3 - 2/5*i**2 + 0*i + 0 - 2/5*i**4 = 0. Calculate i.
0, 1
Let q be 2/(-2) - 1*-3. Let i(j) be the third derivative of 0*j**3 + 0*j - 1/108*j**4 + 0 + 2*j**q - 1/270*j**5. Suppose i(f) = 0. What is f?
-1, 0
Suppose -2*t - 15 = -7*t. Suppose 2*s = t + 3. Factor -7*q**3 + 2*q**s + 2*q**4 + 4*q**3.
q**3*(2*q - 1)
Determine z so that 8/3*z**3 - 4/3*z**4 + 0 - 2/3*z - 2*z**5 + 4/3*z**2 = 0.
-1, 0, 1/3, 1
What is v in -2/7*v**3 - 2/7*v**5 + 4/7*v - 6/7*v**4 + 6/7*v**2 + 0 = 0?
-2, -1, 0, 1
Let t(z) be the third derivative of z**8/112 - z**7/70 - z**6/20 + z**5/10 + z**4/8 - z**3/2 + 12*z**2. Let t(k) = 0. Calculate k.
-1, 1
Let j = 3 + -1. Factor j*o**5 + 0 - 9*o**4 + 13*o**4 + 0.
2*o**4*(o + 2)
Let u(s) be the second derivative of -s**4/24 + s**2 - s. Factor u(y).
-(y - 2)*(y + 2)/2
Let f be (2 + -3)*(-4)/(-1). Let k(a) = 3*a**3 + 3*a**2 + 2. Let n(j) = -13*j**3 - 13*j**2 - j - 9. Let o(z) = f*n(z) - 18*k(z). Let o(t) = 0. What is t?
-2, 0, 1
Let i(q) be the third derivative of q**8/1344 - q**6/120 - q**5/120 + q**4/32 + q**3/12 - 19*q**2. Suppose i(o) = 0. Calculate o.
-1, 1, 2
Let u = 12/59 - -153/118. Factor -9/2*l + u*l**2 + 0.
3*l*(l - 3)/2
Let m(z) be the second derivative of 2*z**7/105 - 4*z**6/75 + 2*z**4/15 - 2*z**3/15 - 7*z. Find c such that m(c) = 0.
-1, 0, 1
Let w = 2 - 0. Find t such that -6*t**2 + w*t**2 + 2*t**2 = 0.
0
Factor 16*u**3 + 12*u - 6*u**3 - 9*u**2 - 13*u**3.
-3*u*(u - 1)*(u + 4)
Factor 1/4*i**2 - 1/4 + 0*i.
(i - 1)*(i + 1)/4
Determine l so that 257*l + 4*l**2 - l**2 - 254*l = 0.
-1, 0
Let m(c) = -5*c - c**3 + 4*c - 5 + c + 4*c - 4*c**2. Let j be m(-5). Let j*d + 0 - 4/5*d**3 - 2/5*d**2 = 0. What is d?
-1/2, 0
Let y be (6/4)/(1/2). Suppose -c = 0, y*c + 1 = 2*k - 3. Factor 1/3*n**3 + 4/3*n**k - 1/3*n**4 - 1/6*n**5 + 1/3 + 7/6*n.
-(n - 2)*(n + 1)**4/6
Let o be (-1 - 0) + -1 + 4. Suppose 0 = -2*b + 6 - o. Determine l so that 2/3*l - 1/3 - 1/3*l**b = 0.
1
Suppose -8*y + 4*y**2 - 2*y**5 - 4*y**4 - y**5 - y**5 + 12*y**3 = 0. Calculate y.
-2, -1, 0, 1
Let d(n) be the third derivative of n**5/150 - n**4/10 - 50*n**2. Factor d(z).
2*z*(z - 6)/5
Let c(a) = 9*a**4 - 30*a**3 - 24*a**2 + 6*a + 39. Let o(l) = -2*l**4 + 6*l**3 + 5*l**2 - l - 8. Let r = -12 - -17. Let t(v) = r*c(v) + 24*o(v). Factor t(n).
-3*(n - 1)*(n + 1)**3
Let q(b) be the first derivative of 5/2*b**4 + 0*b**2 - 8/5*b**5 + 1/3*b**6 - 4/3*b**3 + 0*b + 1. Solve q(g) = 0.
0, 1, 2
Let i(x) be the second derivative of x**4/30 - 4*x**3/15 + 3*x**2/5 - 8*x. Let i(b) = 0. What is b?
1, 3
Suppose -3 = 5*u + 37. Let y = u + 10. Suppose 1/3*v**4 + 1/3*v**y + 0*v + 0 + 2/3*v**3 = 0. What is v?
-1, 0
Let u(d) be the third derivative of d**8/32 + d**7/140 - 3*d**6/40 - 41*d**2. Factor u(k).
3*k**3*(k + 1)*(7*k - 6)/2
Factor -2/17*b**3 + 0*b**2 + 4/17 + 6/17*b.
-2*(b - 2)*(b + 1)**2/17
What is i in 2/3 + 0*i**3 - 4/3*i**2 + 0*i + 2/3*i**4 = 0?
-1, 1
Let q(f) be the first derivative of 4*f**3/3 - 4*f**2 - 6. Factor q(j).
4*j*(j - 2)
Let d = 3268/3 + -1088. Find z, given that -d*z**3 + 4/3*z - z**4 + 1/3 + 2/3*z**2 = 0.
-1, -1/3, 1
Let c(h) be the second derivative of h**6/120 + 3*h**5/80 + h**4/16 + h**3/24 + 4*h. Determine i, given that c(i) = 0.
-1, 0
Let j(m) = 2*m**3 + 6*m**2 - 18*m + 6. Let v(p) = -10*p**3 - 31*p**2 + 92*p - 29. Let s(d) = 11*j(d) + 2*v(d). Factor s(t).
2*(t - 1)**2*(t + 4)
Let x(v) be the first derivative of -7*v**4/8 - v**3/3 + 7*v**2/4 + v - 3. Factor x(m).
-(m - 1)*(m + 1)*(7*m + 2)/2
Factor 0 + 5/3*h + 5/3*h**2 - 5/3*h**4 - 5/3*h**3.
-5*h*(h - 1)*(h + 1)**2/3
Let y be (1 + -2 + 0)*0. Suppose 5*t - 4*a = -y*a + 10, 5*t = a + 10. Factor 2*x**5 + x**t - 4*x**4 - x**5 + 3*x**4 - x**3.
x**2*(x - 1)**2*(x + 1)
Let w(u) be the third derivative of 0 + 11/36*u**4 + 8/45*u**5 + 2/9*u**3 + 7/180*u**6 + 0*u + u**2. Suppose w(y) = 0. What is y?
-1, -2/7
Let a(n) be the first derivative of -2/7*n - 3 + 1/14*n**4 - 1/7*n**2 + 2/21*n**3. Determine j, given that a(j) = 0.
-1, 1
Suppose -2*u + 7*u - 5*t = -5, u + 4 = 4*t. Find s such that 1/2*s**2 - 1/2*s - 1/2*s**4 + 1/2*s**3 + u = 0.
-1, 0, 1
Let s(c) be the first derivative of c**8/3360 + c**7/840 + 2*c**3/3 - 3. Let d(t) be the third derivative of s(t). Factor d(f).
f**3*(f + 2)/2
Factor 44/3*g - 5/3*g**3 - 16/3 - 8/3*g**2.
-(g - 2)*(g + 4)*(5*g - 2)/3
Suppose -4*n - 3*x = -15, -7 = -n - 5*x + x. Factor w + 2*w**5 - 2*w**n + 0*w**5 - w**5.
w*(w - 1)**2*(w + 1)**2
Suppose 2*y - 3*y - 18 = -5*a, -4*a = -4*y - 8. Let b = 1 + y. Factor -b*h**5 - 10*h**5 + 14*h**5.
h**5
Let n(j) be the second derivative of -j**7/21 - 4*j**6/15 - j**5/2 - j**4/3 + 12*j. Solve n(x) = 0 for x.
-2, -1, 0
Find o such that -32*o - 16 - 3*o**3 - o**3 + 13*o**2 - 33*o**2 = 0.
-2, -1
Let u(c) = -7*c + 44. Let y be u(6). Find t such that 0 - 1/4*t**4 + 1/2*t**3 - 1/4*t**y + 0*t = 0.
0, 1
Let g(k) be the third derivative of -k**8/84 + 8*k**7/105 - 2*k**6/15 - 2*k**5/15 + 5*k**4/6 - 4*k**3/3 - k**2. Let g(i) = 0. What is i?
-1, 1, 2
Let h(j) = j**2 + 1. Let f(y) = -98*y**3 + 32*y**2 + 48*y - 2. Let i(t) = -f(t) - 10*h(t). Determine u so that i(u) = 0.
-2/7, 1
Let s(d) = d - 2. Let z be s(6). Suppose -2*c - 5*l = -23, -5 = -4*l - l. Factor 20*u**2 + 10*u**4 + c*u + 2 + 20*u**3 - z*u**5 + u + 6*u**5.
2*(u + 1)**5
Let q = -467 + 10279/22. Let a = 29/66 + q. Let a*p**2 + 0 + 2/3*p = 0. What is p?
-1, 0
Factor 2*c**2 - 11*c**2 - c**2 + 94*c**3 - 109*c**3 + 5*c**5.
5*c**2*(c - 2)*(c + 1)**2
Factor -4 - 13*y**2 - 4*y + 5*y**3 - 3*y**3 + 14*y + 5*y**2.
2*(y - 2)*(y - 1)**2
Let t = 11350 + -79748/7. Let i = t - -304/7. Factor -4/7 + i*j - 2/7*j**2.
-2*(j - 2)*(j - 1)/7
Let q(k) = -k**4 + k**3 - k**2. Let p(h) = -60*h**3 - 240*h**2 - 336*h - 144. Let j(f) = p(f) + 4*q(f). Solve j(d) = 0.
-6, -1
Solve 0 + 0*f + 4/5*f**2 + 2/5*f**3 = 0 for f.
-2, 0
Let w(m) be the second derivative of -8/15*m**6 - 3*m + 0*m**2 + 1/3*m**4 + 5/21*m**7 + 0 + 1/10*m**5 + 0*m**3. Determine a so that w(a) = 0.
-2/5, 0, 1
Let v(q) be the second derivative of -4*q - 1/55*q**5 + 1/33*q**3 + 0*q**4 + 0*q**2 + 1/231*q**7 + 0 + 0*q**6. Factor v(a).
2*a*(a - 1)**2*(a + 1)**2/11
Let t(g) = -g**2 + g + 1. Let k(x) = -15*x**2 + 27*x + 18. Let n(h) = -k(h) + 18*t(h). Factor n(l).
-3*l*(l + 3)
Let t be -1*(-3 + 4/4). Let q(l) be the second derivative of 0 + 0*l**t - l + 1/48*l**4 + 1/24*l**3. Factor q(m).
m*(m + 1)/4
Let q = 109/2 + -54. Determine x, given that 1/2*x**2 + 1/2*x + 0 - 1/2*x**3 - q*x**4 = 0.
-1, 0, 1
Factor -1/9*a**5 + 4/9*a**2 + 0*a**3 - 1/3*a**4 + 0*a + 0.
-a**2*(a - 1)*(a + 2)**2/9
Let b be (-4)/(-14) - 517/2079. Let u(x) be the first derivative of 4/27*x**3 - 1/9*x**4 + b*x**6 - 2/45*x**5 - 2/9*x + 1/9*x**2 - 2. Let u(f) = 0. What is f?
-1, 1
Let h(m) be the first derivative of 3/2*m - m**2 + 1/6*m**3 + 6. Find s, given that h(s) = 0.
1, 3
Factor 2*s**2 - 2*s**4 + 0*s + 8*s**2 - 5*s**3 - 2*s**5 + 4*s + 11*s**3.
-2*s*(s - 2)*(s + 1)**3
Factor -16/7 - 48/7*z + 60/7*z**2 - 16/7*z**3.
-4*(z - 2)**2*(4*z + 1)/7
Let u(z) be the third derivative of -z**8/336 - z**7/70 + z**5/15 - 3*z**2. Let u(h) = 0. Calculate h.
-2, 0, 1
Find w, given that -2 + 2/5*w**2 + 8/5*w = 0.
-5, 1
Suppose -j - 5*g + 13 = -2, 5*g = -2*j + 15. Let z = j - -2. Factor -3*c**3 - 2*c**3 - c + 2*c**z + 4*c**3.
-c*(c - 1)**2
Suppose 2/3 - 4/3*c + 0*c**2 - 2/3*c**4 + 4/3*c**3 = 0. Calculate c.
-1, 1
Let v(u) = u**3 - 4*u**2 + 3*u + 3. Suppose -m + 5*p = 8, -p + 17 - 4 = -4*m. Let y(t) = 2*t**3 - 5*t**2 + 4*t + 4. Let a(k) = m*y(k) + 4*v(k). Factor a(s).
-s**2*(2*s + 1)
Let o be (11/(-11))/(5/(15/(-24))). Factor -o*b + 0 - 1/8*b**2.
-b*(b + 1)/8
Let p(l) = 18*l**4 - 43*l**3 - 16*l**2 + 64*l + 32. Let d(x) = -9*x**4 + 22*x**3 + 8*x**2 - 32*x - 16. Let w(z) = -5*d(z) - 2*p(z). Solve w(f) = 0 for f.
-2/3, 2
Let s(i) = -4 + 5*i + 3*i**3 - 2 - 3*i**2 + 2*i**2 + 1. Let p(o) = -5*o**3 + 2*o**2 - 8*o + 8. Let x(j) = 5*p(j) + 8*s(j). Factor x(k).
-k**2*(k - 2)
Factor -6*b**2 - 32/3 + 16*b + 2/3*b**3.
2*(b - 4)**2*(b - 1)/3
Let y(v) = -3*v**2 - 58*v - 17. Let x be y(-19). Factor -3/2*r + 1/2 - 