9*f**2. Factor o(m).
5*(m - 2)**2
Factor 10 - 13 + 3 - 15*l**2 - 3*l**3 - 18*l.
-3*l*(l + 2)*(l + 3)
Let j(s) = -4*s**3 - 2*s**2 + 6*s - 2. Suppose -d - 3*t = 10, 0*d = -2*d - 2*t - 4. Let q(y) = y**4 + y**2 - y. Let z(o) = d*q(o) + j(o). What is h in z(h) = 0?
-1, 1
Let n(i) = -i**4. Let h(z) = 4*z**4 + 2*z**3 - z**2. Let m = -4 - -9. Let r = 10 - m. Let a(o) = r*n(o) + h(o). Factor a(b).
-b**2*(b - 1)**2
Let c(i) = i**3 - 7*i**2 + i + 4. Let n be c(7). Find v such that -n*v**3 - 4*v - 2*v**4 + 11*v**3 + 6*v**2 = 0.
-2, 0, 1
Let x(q) be the third derivative of 0*q + 5/72*q**4 - 2/315*q**7 - 1/1008*q**8 - 1/90*q**6 + 1/9*q**3 + 5*q**2 + 1/90*q**5 + 0. Let x(h) = 0. What is h?
-2, -1, 1
Factor -4/3*y**2 + 0 + 2/3*y + 2/3*y**3.
2*y*(y - 1)**2/3
Suppose -4*z - z = 0. Solve -c**5 + c**3 + 2*c**4 + 5*c**5 - 3*c**5 + z*c**3 = 0 for c.
-1, 0
Determine a so that 0*a**3 + 9*a**2 + 8*a - 5*a**3 + a**3 - 13*a**2 = 0.
-2, 0, 1
Factor 20*k**3 - 35*k**4 - 4*k**5 - 10*k**2 + 31*k**4 - 2*k**2.
-4*k**2*(k - 1)**2*(k + 3)
Suppose -7*r = 1 - 15. Determine i so that 0*i - 2/9*i**r + 2/9 = 0.
-1, 1
Let q(a) be the second derivative of -a**6/10 - a**5/20 - 8*a. Determine b, given that q(b) = 0.
-1/3, 0
Suppose 3*m - 1 = 8. Suppose m*r = -5*o + 3*o + 10, -2*o - 2*r + 10 = 0. Let 3*a**o - a**5 + a**5 - a**5 = 0. Calculate a.
0
Let a(w) be the third derivative of -w**7/1050 + w**6/200 - w**4/30 + w**2. What is t in a(t) = 0?
-1, 0, 2
Let y(q) be the first derivative of 4/9*q + 7/9*q**2 + 10/27*q**3 + 5. Factor y(g).
2*(g + 1)*(5*g + 2)/9
Let u(n) = 9*n**2 + 3*n - 6. Let y(f) = f**2 + f - 1. Let g = 1 - 7. Let j(s) = g*y(s) + u(s). Let j(k) = 0. What is k?
0, 1
Let m(f) = -6*f**4 - 4*f**3 + 6*f**2 + 4*f + 4. Let w(d) = 13*d**4 + 8*d**3 - 13*d**2 - 8*d - 9. Let r(c) = 9*m(c) + 4*w(c). Factor r(b).
-2*b*(b - 1)*(b + 1)*(b + 2)
Let s be (-2)/(3/(6/(-1))). Let x be 2 + 0*(-2)/s. What is v in -4/3*v + 2/3*v**x + 0 = 0?
0, 2
Factor 0*f**2 + 0 + 0*f - 2/3*f**5 + 2/3*f**4 + 4/3*f**3.
-2*f**3*(f - 2)*(f + 1)/3
Let d be (-2)/9*(0 - 132/4). What is v in -34/3*v**4 + 14*v**3 + 0 + 10/3*v**5 - d*v**2 + 4/3*v = 0?
0, 2/5, 1
Suppose 176*l = 182*l. Find x such that -2/3*x + 1/3*x**2 + l + x**3 - 1/3*x**4 - 1/3*x**5 = 0.
-2, -1, 0, 1
Suppose 0 = -4*x - 78 + 90. Let h(s) be the third derivative of -1/120*s**6 + 0 + 0*s + 0*s**3 + x*s**2 - 1/30*s**5 - 1/24*s**4. Factor h(a).
-a*(a + 1)**2
Let m(f) be the third derivative of f**6/720 - f**5/360 + 23*f**2. Factor m(v).
v**2*(v - 1)/6
Let x = 9/70 - -1/14. Factor x*h**3 + 2/5 + 1/5*h**4 - 3/5*h**2 - 1/5*h.
(h - 1)**2*(h + 1)*(h + 2)/5
Let u = 2 - -2. Suppose -4*k - g = -17, 0*k - u*g = k - 23. Factor -j + 4*j**2 - 5*j**k - 11*j**4 + 4*j**5 - 5*j**2 + 14*j**3.
j*(j - 1)**3*(4*j + 1)
Let y(l) be the third derivative of l**4/24 + l**3/6 - 2*l**2. Let q be y(1). Factor 4*g**3 - 10*g**4 + 2*g**2 - 2*g**q.
-2*g**3*(5*g - 2)
Suppose -56 = 3*y - 5*i, -4*y - 7*i = -2*i + 28. Let p be (-3)/y + 2/24. Solve 0*u**4 + 1/3*u**3 + 0*u + 0 - p*u**5 + 0*u**2 = 0.
-1, 0, 1
Let w(h) = -4*h**2 + 9*h + 3. Let d = 18 - 15. Let p(u) = -8*u**2 + 19*u + 5. Let i(k) = d*p(k) - 5*w(k). Suppose i(f) = 0. What is f?
0, 3
Let q(x) be the first derivative of -x**2/2 - 10*x - 9. Let m be q(-10). Factor 4/9*o**2 + 0*o + 10/9*o**5 + m + 8/3*o**4 + 2*o**3.
2*o**2*(o + 1)**2*(5*o + 2)/9
Let b = -13 + 54. Determine o so that 2*o - 18*o**2 - 15*o**2 - 1 - 12*o + o**3 - 16*o**4 - b*o**3 = 0.
-1, -1/4
Let h(v) be the first derivative of -5 + 6*v + 109/2*v**3 - 189/4*v**4 + 147/10*v**5 - 27*v**2. Determine t so that h(t) = 0.
2/7, 1
Let v(u) be the first derivative of 0*u**2 + 2 + 1/2*u - 1/6*u**3. Find s such that v(s) = 0.
-1, 1
Let q be (-2849)/(-1540) - 2/8. Factor 2/5*x**3 + 0 + q*x - 8/5*x**2.
2*x*(x - 2)**2/5
Let v(g) be the third derivative of 7*g**7/120 + 21*g**6/80 + 109*g**5/240 + 3*g**4/8 + g**3/6 + 28*g**2. Factor v(a).
(a + 1)**2*(7*a + 2)**2/4
Let a = 93/4 - 23. Let q(t) be the third derivative of -a*t**4 + 3*t**2 + 1/70*t**7 - 3/40*t**6 + 0*t - 1/4*t**5 + 0*t**3 + 0 + 1/112*t**8. Solve q(c) = 0.
-1, 0, 2
Let z(t) be the second derivative of -2/3*t**2 + 5/9*t**3 + 0 - 3*t + 1/6*t**4. Factor z(c).
2*(c + 2)*(3*c - 1)/3
Let g = -16 + 26. Suppose 2*j = 7*j - g. Factor 5*n**2 - 5*n**2 - j - n**3 + 3*n.
-(n - 1)**2*(n + 2)
Let s be 5/4 - 47/(-564). Factor 2/3*m**5 - 4/3*m**4 - 2/3*m + 0 + 0*m**3 + s*m**2.
2*m*(m - 1)**3*(m + 1)/3
Let u be ((-236)/(-2340))/(3/9). Let p = u + 2/65. Factor 2/3*n**3 + 1/3*n**2 + 0*n + p*n**4 + 0.
n**2*(n + 1)**2/3
Suppose 2 + 4/3*f + 2/9*f**2 = 0. Calculate f.
-3
Suppose 0 = -5*k + 4*k. Let k*m**2 + 3*m**3 - 4*m + m**2 + 4 - 4*m = 0. Calculate m.
-2, 2/3, 1
Solve 2*o**2 + 4 - 2*o + 4 + 10*o = 0 for o.
-2
Let a be -3*4*(-8)/(-6). Let c = 49/3 + a. Factor -1/3*x**4 + 0 - 1/3*x + c*x**3 + 1/3*x**2.
-x*(x - 1)**2*(x + 1)/3
Let n(q) = q - 5. Let z be n(5). Suppose 3 = g - z. Solve 2/9*u**4 + 0*u - 4/9*u**g + 2/9*u**2 + 0 = 0.
0, 1
Suppose m = -5*n + 13, n = -0*m + m - 1. Let p(b) be the first derivative of 1 + 2/3*b**3 - b**n + 0*b - 1/8*b**4. Factor p(c).
-c*(c - 2)**2/2
Suppose 3*v = -2 + 8. Let y = 14 + -9. Factor 2*b**2 + 2*b**v - b - y*b**2.
-b*(b + 1)
Factor 2/3*f**2 - 2/3*f + 0.
2*f*(f - 1)/3
Let r(a) be the second derivative of -a**6/30 + a**5/10 - a**4/12 - 13*a. Factor r(v).
-v**2*(v - 1)**2
Let w(q) be the first derivative of -1/8*q**2 - 1/16*q**4 - 7 + 1/6*q**3 + 0*q. Suppose w(c) = 0. What is c?
0, 1
Let q = 10583/30 - 353. Let c = 1/6 - q. Solve -2*o - c - 14/5*o**2 - 6/5*o**3 = 0.
-1, -1/3
Suppose 3*j + j - 2*o = 18, 3*j = -4*o - 14. Let t(m) be the first derivative of -j*m - 3/2*m**2 - 1/3*m**3 + 1. Determine n so that t(n) = 0.
-2, -1
Let d(n) be the second derivative of -n**3/6 + 11*n**2/2 + 7*n. Let t be d(11). Solve -3/4*b**4 + 0 - 3/4*b**3 + 0*b**2 + t*b = 0 for b.
-1, 0
Factor -32 + 5*u**2 + 4*u**3 - 216*u + 3*u**2 + 200*u + 0*u**3.
4*(u - 2)*(u + 2)**2
Let n(o) be the second derivative of o**7/294 - o**5/35 - o**4/42 + o**3/14 + o**2/7 + 12*o. Let n(s) = 0. What is s?
-1, 1, 2
Find g such that 21/2*g**3 - 18*g - 27/2*g**2 + 6 = 0.
-1, 2/7, 2
Let y(n) be the third derivative of -7/60*n**4 + 4*n**2 + 0 + 2/15*n**3 - 3/50*n**5 + 0*n. What is x in y(x) = 0?
-1, 2/9
Suppose 16*f + 30 = 31*f. Solve -48/13*v**2 - 18/13*v**3 - f*v - 4/13 = 0 for v.
-2, -1/3
Let r(h) be the third derivative of -1/60*h**4 + 0*h - 1/150*h**5 + 3*h**2 + 0*h**3 + 0. Suppose r(v) = 0. Calculate v.
-1, 0
Suppose 5*m = -5 - 5. Let q be 2*(4/(-2))/m. Factor 1/2*t**q - 1/2*t**3 + 0*t + 0.
-t**2*(t - 1)/2
Find d, given that 4/7*d - 4/7*d**3 - 2/7*d**4 + 0*d**2 + 2/7 = 0.
-1, 1
Suppose -4*b - 3*q + 12 = 0, -3*q = -b - 3*b + 12. Factor 6*x**4 - 4*x**b + 0*x**3 - 3*x**5 + x**3.
-3*x**3*(x - 1)**2
Factor 2/7 + 50/7*p**3 + 22/7*p + 10*p**2.
2*(p + 1)*(5*p + 1)**2/7
Let o(r) be the second derivative of 3*r + 2/15*r**3 - 1/30*r**4 + 0 + 0*r**2. Factor o(f).
-2*f*(f - 2)/5
Let q(r) = -r**2 - 7*r - 4. Let w be q(-6). Let o(z) be the third derivative of 0*z - 2*z**w - 1/60*z**5 + 0*z**3 + 1/24*z**4 + 0. Factor o(d).
-d*(d - 1)
Suppose 35 = 4*l - 61. Let f be (-3)/(27/l) + 3. Suppose -t**4 + 0*t - 1/3*t**2 + 0 + t**3 + f*t**5 = 0. Calculate t.
0, 1
Let q(u) be the second derivative of 2/3*u**2 + 8/9*u**3 + 0 + 11/60*u**5 + 3*u + 7/12*u**4 + 1/45*u**6. Factor q(z).
(z + 1)*(z + 2)**2*(2*z + 1)/3
Determine a so that -169 + 15*a**2 - 20*a - 4*a**4 + 10*a**3 - a**4 + 149 = 0.
-1, 2
Find g such that 3*g - 4*g**3 + 11*g**3 - 4*g**3 - 6*g**2 = 0.
0, 1
Suppose 15 = -3*g + 8*g + 2*r, 2*r - 12 = -4*g. Let 0 + 1/4*k**g + 0*k + 0*k**2 = 0. Calculate k.
0
Factor -6*a + 3*a**2 + 3/2*a**3 - 3/4*a**4 + 0.
-3*a*(a - 2)**2*(a + 2)/4
Let j(a) be the second derivative of a**4/60 - a**3/10 + a**2/5 + 4*a. Factor j(g).
(g - 2)*(g - 1)/5
Let d be (1 + 1 - -11) + 1. Let s = d - 9. Suppose -s*h + 6*h + h**3 - 2*h**3 = 0. What is h?
-1, 0, 1
Let j be 175/(-28) - -6 - 14/(-24). Let y(z) be the first derivative of -2 - j*z**3 + 0*z**2 + z. Factor y(n).
-(n - 1)*(n + 1)
Let p(a) = -a + 1. Let b(h) = -12*h**2 - 12*h - 6. Let r(c) = b(c) + 2*p(c). Factor r(j).
-2*(2*j + 1)*(3*j + 2)
Let d(c) be the third derivative of -c**8/16800 - c**7/2100 - c**6/900 - c**4/12 - 2*c**2. Let f(g) be the second d