) = 0.
-1, -1/5
Let 2*q**4 + 2/3*q**5 + 0 - 2*q**2 + 2/3*q**3 - 4/3*q = 0. Calculate q.
-2, -1, 0, 1
Let q(s) be the first derivative of -1/6*s**3 - 1/2*s**2 - 1/2*s - 2. Factor q(z).
-(z + 1)**2/2
Let y(k) be the first derivative of 12/35*k**5 + 2 - 4/7*k**2 + 0*k + 1/7*k**4 + 2/21*k**6 - 4/7*k**3. Suppose y(i) = 0. Calculate i.
-2, -1, 0, 1
What is v in -9*v**4 - 3 + 3/2*v**5 + 27/2*v - 24*v**2 + 21*v**3 = 0?
1, 2
Let l(q) be the third derivative of q**6/90 + 4*q**5/45 - 18*q**2. Factor l(r).
4*r**2*(r + 4)/3
Let c(x) be the first derivative of 2/3*x**6 + 2/3*x**3 - 3 + 0*x - 6/5*x**5 + 0*x**4 + 0*x**2. Let c(m) = 0. Calculate m.
-1/2, 0, 1
Let o be 1 - (-2 - (2 + -2)). Suppose -21 = -o*t + 3*a + a, 3*a - 6 = -5*t. Factor -2/7*b + 2/7 - 2/7*b**2 + 2/7*b**t.
2*(b - 1)**2*(b + 1)/7
Suppose y = 3*v - 11 - 2, v = 5. Suppose -p = -0*p - 2. Factor -2*o**4 + 3*o**3 + 1/2*o**5 - p*o**y + 0 + 1/2*o.
o*(o - 1)**4/2
Suppose 0*z + 0 + 4*z**3 + 0*z**2 - 4/3*z**4 = 0. What is z?
0, 3
Let q(a) = a + 11. Let p be q(-9). Factor 2*h - 2*h**p + 0*h**2 - h + h**3.
h*(h - 1)**2
Let z = 44/3 - 73/5. Let r(w) be the second derivative of -2/15*w**4 - z*w**6 + 0*w**3 + 0 - 5/21*w**7 + 8/25*w**5 + w + 0*w**2. Suppose r(k) = 0. What is k?
-1, 0, 2/5
Let s(o) = o**3 + 12*o**2 - 12*o + 13. Let t be s(-13). Solve 0*k + t + 1/2*k**2 + 1/2*k**3 = 0 for k.
-1, 0
Let d(x) = -9*x**2 + 5 + 8 + x**3 + 3*x - 4*x. Let b be d(9). Solve 2*n**3 - b*n**4 + 2*n**5 + 2*n**2 - 2*n**2 = 0.
0, 1
Let w(i) be the second derivative of 2*i**4 - 2/3*i**3 - 21/20*i**5 + 0 + 0*i**2 - i - 49/30*i**6. Solve w(x) = 0 for x.
-1, 0, 2/7
Let d(n) be the second derivative of -n**2 - 1/24*n**4 + 1/12*n**3 + 0 + 1/120*n**5 + n. Let w(v) be the first derivative of d(v). Let w(g) = 0. Calculate g.
1
Suppose 3 = h - 0. Let w(v) = -2*v**2 + 7*v + 1. Let m(t) = 2*t**2 - 6*t. Let i(q) = h*m(q) + 2*w(q). Let i(l) = 0. Calculate l.
1
Let u = 12/31 - 22/217. Let -2/7*l - u*l**2 + 2/7 + 2/7*l**3 = 0. What is l?
-1, 1
Let f(b) = 246*b**2 + 108*b + 15. Let q(u) = -247*u**2 - 108*u - 16. Let r(k) = -4*f(k) - 3*q(k). Factor r(p).
-3*(9*p + 2)**2
Suppose -h**3 + 4*h**5 - 7*h**4 + 5*h**3 + 0*h**3 - h**4 = 0. What is h?
0, 1
Let m(c) be the third derivative of -c**6/180 + c**5/180 + 67*c**2. Factor m(d).
-d**2*(2*d - 1)/3
Determine r, given that -28 + 28*r**2 + 19 - 29*r**2 + 6*r = 0.
3
Let u be (-16)/12*(-12)/5. Let o(x) be the first derivative of 7/10*x**4 + 4*x**2 + 3 - u*x - 12/5*x**3 - 2/25*x**5. Factor o(b).
-2*(b - 2)**3*(b - 1)/5
Let m(l) = -3 + 2*l**2 - 5*l**2 + 4*l - 2*l**2 + 4*l**2. Let q(w) = w**3 + w**2 - 7*w + 5. Let u(s) = -5*m(s) - 3*q(s). Factor u(a).
-a*(a - 1)*(3*a + 1)
Let d(v) be the first derivative of 4*v**5/5 + 3*v**4 + 4*v**3/3 - 10*v - 1. Let w(o) be the first derivative of d(o). Factor w(t).
4*t*(t + 2)*(4*t + 1)
Let s = -1050 + 1053. Solve 0 - 2/3*r + 5/3*r**2 - r**s = 0 for r.
0, 2/3, 1
Suppose 3*h - 2*i - 28 = 0, 3*i - 7*i = -5*h + 48. Determine f, given that -2*f**4 + 0*f + 4*f**5 + 8*f**2 + 2*f - h*f**2 - 6*f**3 + 2*f**2 = 0.
-1, -1/2, 0, 1
Suppose 2*w - 8*j = -3*j - 16, 3*j = w + 10. Suppose -10 = -w*u - 2. Factor k + 0*k + 4*k**2 + 2*k**5 - 4*k**u - 3*k.
2*k*(k - 1)**3*(k + 1)
Let g(b) be the third derivative of b**7/1470 + b**6/280 - b**5/420 - b**4/56 + 14*b**2. What is k in g(k) = 0?
-3, -1, 0, 1
Suppose -4*n = -4*m - 0 - 8, -4*m - 3*n = -20. Let -2*v**2 - v**2 + v + 2*v**m + 0*v**2 + 2 = 0. What is v?
-1, 2
Let u(m) be the second derivative of 0*m**4 + 1/40*m**5 + 1/8*m**2 - 1/120*m**6 + 0 + 4*m - 1/12*m**3. Let u(g) = 0. What is g?
-1, 1
Let i be (-8)/(-24)*-3 + 7/5. Factor 2/5*l**4 + 0 + 0*l - 2/5*l**2 - 2/5*l**3 + i*l**5.
2*l**2*(l - 1)*(l + 1)**2/5
Find f such that -7*f - 1 + 16*f**2 - 11*f + 6*f - 3 = 0.
-1/4, 1
Let o(b) be the second derivative of 3*b - 3/20*b**5 - 1/28*b**7 - 1/4*b**4 + 3/20*b**6 - 3/4*b**2 + 3/4*b**3 + 0. Factor o(g).
-3*(g - 1)**4*(g + 1)/2
Suppose -5*j + 25 = -r - r, j = 5. Let y = r + 0. Determine f so that 2*f + 10*f**2 + 8*f**3 + 0 + y = 0.
-1, -1/4, 0
Let g(r) be the third derivative of r**7/840 - r**6/120 + r**5/80 + r**4/24 - r**3/6 + 5*r**2. Find c such that g(c) = 0.
-1, 1, 2
Suppose 0 = 5*c - 2*c. Determine g, given that c + 0*g + 1/2*g**4 + g**3 + 1/2*g**2 = 0.
-1, 0
Let s(x) = x**2 + 21*x + 23. Let h be s(-20). What is f in 4/7 + 50/7*f**h - 2*f - 12/7*f**2 - 4*f**4 = 0?
-1/2, 2/7, 1
Factor -2/3*f**3 + 0 - 4/3*f + 2*f**2.
-2*f*(f - 2)*(f - 1)/3
Factor 15*v**2 + 68*v**3 - 5*v**4 - 68*v**3 - 9*v - v.
-5*v*(v - 1)**2*(v + 2)
Let n = -977 + 2935/3. Solve -2*i + n + 2/3*i**2 = 0.
1, 2
Let b(q) = q**2 + q + 1. Let c(d) = -8*d**2 + 47*d - 128. Let x(y) = -3*b(y) - c(y). Let x(p) = 0. Calculate p.
5
Suppose -2*w + x = 2*w - 7, -5*w = 3*x - 13. Factor -o**3 - 10*o**w - o**3 - 12*o - 8 - 4*o.
-2*(o + 1)*(o + 2)**2
Let o be (-3)/(-44) + (-86)/(-473). Determine t, given that 1/4*t**2 + o - 1/2*t = 0.
1
Let x(f) = f**3 - f**2 - 3*f - 1. Let z be x(-1). Factor 1/3*a - 1/3*a**2 + z.
-a*(a - 1)/3
Let g be (-53)/(-40) + (-7)/35. Let d(l) be the first derivative of 2 + 7/12*l**3 + 1/2*l + g*l**2. Suppose d(i) = 0. What is i?
-1, -2/7
Find v such that 4/5*v**4 + 6/5*v - 2/5*v**2 - 2/5 - 6/5*v**3 = 0.
-1, 1/2, 1
Let m(x) be the first derivative of x**5 - 5*x**3 + 5*x**2 - 20. Factor m(q).
5*q*(q - 1)**2*(q + 2)
Let k be (2/10)/((-20)/950). Let d = -53/6 - k. Solve 0*b**2 - 4/3*b + d*b**4 - 2/3 + 4/3*b**3 = 0 for b.
-1, 1
Let p = 273 + -2183/8. Factor -1/4 + 1/8*r + p*r**2.
(r - 1)*(r + 2)/8
Let a(o) = o**3 + 5*o**2 - 8*o - 12. Let i be a(-6). Factor i + 3/4*q**2 + 3/2*q - 3/4*q**3.
-3*q*(q - 2)*(q + 1)/4
Let g be -2*(-4)/(-24) + 2/6. Determine m so that -1/5*m**3 + 0*m**2 + 0*m + g = 0.
0
Let n(p) be the third derivative of 0 - 3*p**2 + 0*p**4 + 0*p**5 + 0*p**3 + 1/360*p**6 + 0*p. Factor n(o).
o**3/3
Let d(m) be the second derivative of -m**7/21 + m**6/15 + m**5/5 - m**4/3 - m**3/3 + m**2 - 5*m. Find i such that d(i) = 0.
-1, 1
Let x(f) be the third derivative of 0*f**3 - 1/90*f**5 - 1/180*f**6 + 3*f**2 + 0*f + 0*f**4 + 0. Suppose x(m) = 0. Calculate m.
-1, 0
Suppose -3*p + 3*w + 0 = 6, -3*p - 4*w = -8. Let q(x) be the third derivative of 1/30*x**5 + 0*x + p*x**3 + 2*x**2 + 0 + 0*x**4. Factor q(k).
2*k**2
Factor 2/19*h**2 - 16/19*h + 6/19*h**3 + 8/19.
2*(h - 1)*(h + 2)*(3*h - 2)/19
Suppose -3*o - o - 5*n - 6 = 0, -3*n = 6. Let c = o - 0. Factor -c + g - 1/4*g**2.
-(g - 2)**2/4
Let n(p) be the first derivative of -3*p**5/10 - 9*p**4/8 - p**3 - 2. What is v in n(v) = 0?
-2, -1, 0
Let y = -3 - -5. Let i be y + 15/(-6) - -1. Factor 1/2*a - i*a**3 + 0*a**2 - 1/4 + 1/4*a**4.
(a - 1)**3*(a + 1)/4
Factor 2/13*t**4 + 0*t + 0*t**2 + 2/13*t**3 + 0.
2*t**3*(t + 1)/13
What is y in 0 - 4/5*y + 18/5*y**2 + 2*y**4 - 24/5*y**3 = 0?
0, 2/5, 1
Let c = -4 - -2. Let r be (3 - 1)/c*-3. Factor 2/3*p**r - 2/3*p**2 - 4/3*p + 0.
2*p*(p - 2)*(p + 1)/3
Let q = -58 - -526/9. Let s(f) be the second derivative of 0 + 4/27*f**3 + f + 1/54*f**4 + q*f**2. Factor s(k).
2*(k + 2)**2/9
Suppose 6*x**4 + 8*x + 5*x - 3*x**3 - 10*x - 2*x**2 - 4*x**2 = 0. What is x?
-1, 0, 1/2, 1
Let k(p) = p**2 - p + 2. Let o be k(0). Let t be ((-160)/12)/(-5) - o. Factor t*z + 0 - 2/3*z**2.
-2*z*(z - 1)/3
Let t(r) be the second derivative of 1/80*r**5 + r - 1/4*r**2 + 1/24*r**4 - 1/24*r**3 + 0. Factor t(c).
(c - 1)*(c + 1)*(c + 2)/4
Let j(y) = -y + 17. Let o be j(7). Let r = -6 + o. Factor -z**2 - r + 4 - 2*z**3 - z**4.
-z**2*(z + 1)**2
Let g be (6/12)/(2/32). Let q be (g/(-32))/(2/(-40)). Factor z**3 - 3/2*z - 3/2*z**4 + z**2 + 1/2*z**q + 1/2.
(z - 1)**4*(z + 1)/2
Let n(k) be the third derivative of k**7/210 - k**5/30 + k**3/6 - 5*k**2. Factor n(q).
(q - 1)**2*(q + 1)**2
Let q(m) be the second derivative of m**6/660 - 2*m**5/55 + 4*m**4/11 - 64*m**3/33 + 2*m**2 - 6*m. Let t(s) be the first derivative of q(s). Factor t(y).
2*(y - 4)**3/11
Let 25/4*m**3 + 1/4*m**5 + 2*m**4 + 7*m + 19/2*m**2 + 2 = 0. Calculate m.
-2, -1
Let v(l) be the first derivative of -3*l**5/5 - 6*l**4 + l**3 + 12*l**2 + 64. Factor v(r).
-3*r*(r - 1)*(r + 1)*(r + 8)
Let t = 73 + -71. Let 2/5*h + 2/5*h**t + 0 = 0. What is h?
-1, 0
Let z = 31 - 31. Let g(a) be the first derivative of z*a**3 - 1/18*a**4 + 0*a + 1 + 0*a**2. Factor g(d).
-2*d**3/9
What