+ 0*i**2. Solve w(l) = 0.
-1, 0, 1
Let k(f) = -3*f**3 - 87*f**2 - f - 25. Let o be k(-29). Determine a, given that 2/3*a - 2/3*a**o + 0 + 2/3*a**2 - 2/3*a**3 = 0.
-1, 0, 1
Suppose -4*i - i - 16 = 2*m, 0 = 2*i - m + 1. Let a = 2 - i. Let 0*f**2 + 4/5*f - 2/5*f**a - 4/5*f**3 + 2/5 = 0. Calculate f.
-1, 1
Let w(o) = -3*o**2 + 3*o + 12. Let y(n) = -6 - 2*n + 6*n + 17 - 3*n**2. Let z(m) = 2*w(m) - 3*y(m). Suppose z(s) = 0. What is s?
-1, 3
Find f, given that -9*f**4 + 9*f**4 + 4*f**2 + 2*f**3 - 2*f**4 = 0.
-1, 0, 2
Let z = 1885/4 - 471. Factor 27/4*q + z*q**3 + 27/4 + 9/4*q**2.
(q + 3)**3/4
Let l(f) be the second derivative of f**5/150 - 2*f**4/45 - f**3/45 + 4*f**2/15 - 22*f. Find n such that l(n) = 0.
-1, 1, 4
Suppose -2*q = -q - 7. Let f = q - 4. Solve -2*x**2 + x**2 + 3*x - 5*x**2 + f*x**2 = 0 for x.
0, 1
Factor -427*q - 5*q**3 + 2*q**3 + 427*q.
-3*q**3
Find b such that -19 - 16 + 35 + 4*b**3 + 4*b + 8*b**2 = 0.
-1, 0
Let a(v) be the first derivative of 3*v**5/25 - 9*v**4/10 + 11*v**3/5 - 9*v**2/5 - 49. Suppose a(g) = 0. Calculate g.
0, 1, 2, 3
Factor 16*n + 23*n**2 + 1 - 19*n**2 - 1.
4*n*(n + 4)
Solve 0*t**2 + t**3 - t**5 - 60*t**4 - t**2 + 61*t**4 = 0 for t.
-1, 0, 1
Suppose -31*t**3 - 35*t**2 + 10*t**3 + 6*t**3 + 30*t = 0. Calculate t.
-3, 0, 2/3
Let v(f) be the second derivative of -1/1080*f**6 - 2*f + 0 + 2/3*f**3 + 1/72*f**4 + 0*f**2 + 0*f**5. Let r(h) be the second derivative of v(h). Factor r(j).
-(j - 1)*(j + 1)/3
Let l(n) = 20*n**2 + 16*n - 36. Let i(t) = -7*t**2 - 5*t + 12. Let f(z) = 8*i(z) + 3*l(z). Factor f(r).
4*(r - 1)*(r + 3)
Suppose -7 + 32 = -5*c. Let g be 10 + c - 1*2. Factor -15*u**3 - 12*u**4 - 25*u + 25*u - g*u**2.
-3*u**2*(u + 1)*(4*u + 1)
Let y(l) = 9*l**2 - 17*l. Let p(u) = u**2 - u. Let v(r) = 5*p(r) - y(r). Find q, given that v(q) = 0.
0, 3
Let l be (-782)/(-36) - (-4)/(-18). Let h = l + -21. Factor 1/2*r**3 + 0*r - h*r**5 + 0*r**2 + 0*r**4 + 0.
-r**3*(r - 1)*(r + 1)/2
Suppose -8*f = -4*f. Let p(b) be the second derivative of 2/15*b**6 - 1/35*b**7 + f*b**4 - 2/5*b**2 + 1/3*b**3 - 3*b + 0 - 1/5*b**5. Solve p(o) = 0.
-2/3, 1
Factor 435 - 12*q**4 - 10*q**2 - 18*q**3 - 3*q - 2*q**2 - 3*q**5 - 435.
-3*q*(q + 1)**4
Let d = 3319/3 - 1105. Factor 2/3*q**4 - 2*q**2 - 10/3*q + 2/3*q**3 - d.
2*(q - 2)*(q + 1)**3/3
Let f(q) be the first derivative of -q**6/15 - q**5/2 - 3*q**4/2 - 7*q**3/3 - 2*q**2 + 4*q + 8. Let g(k) be the first derivative of f(k). Factor g(o).
-2*(o + 1)**3*(o + 2)
Let z(i) be the first derivative of i**8/4200 + i**7/700 - i**5/75 - i**3/3 - 3. Let n(x) be the third derivative of z(x). Factor n(b).
2*b*(b - 1)*(b + 2)**2/5
Let h(x) = -x**4 - x**3 + x**2. Let g(m) = 9*m**4 + 12*m**3 - 6*m**2 - 3. Let k(c) = -g(c) - 12*h(c). Factor k(f).
3*(f - 1)**2*(f + 1)**2
Let b(a) be the second derivative of 0 + 1/165*a**6 + 2/33*a**3 - 1/11*a**2 + 0*a**4 - 7*a - 1/55*a**5. Factor b(i).
2*(i - 1)**3*(i + 1)/11
Suppose 20*r**2 + 160*r**3 + 26*r**5 + 27*r**5 + 295*r**4 + 57*r**5 = 0. Calculate r.
-2, -1/2, -2/11, 0
Let v(o) = 3*o**4 - 5*o**3 + o**2. Let u(l) = -l**3 - 25 - l**2 + l**4 + 25. Let w(p) = u(p) - v(p). Suppose w(g) = 0. What is g?
0, 1
Determine q so that 760*q**3 + 32*q**2 - 168*q**5 - 160*q - 493*q**4 - 157*q**4 - 332*q**5 + 32 = 0.
-2, -1/2, 2/5
Let u(n) = n**3 + 11*n**2 + 7*n - 28. Let i be u(-10). Let -1/3*l**i + 1/3*l**3 + 0*l + 0 = 0. Calculate l.
0, 1
Determine b, given that 0*b**3 - 4/5*b**4 + 2/5*b**5 + 0 + 4/5*b**2 - 2/5*b = 0.
-1, 0, 1
Let o(r) = -2*r**3 + 10*r**2 - 15*r + 7. Let h(l) = -l**3 + 5*l**2 - 7*l + 3. Let a(s) = -7*h(s) + 3*o(s). Factor a(x).
x*(x - 4)*(x - 1)
Find t such that -1/2*t**3 + 15/2*t**2 - 75/2*t + 125/2 = 0.
5
Let p(m) be the first derivative of m**7/1120 - m**6/480 + 10*m**3/3 - 8. Let r(o) be the third derivative of p(o). Factor r(i).
3*i**2*(i - 1)/4
Let i = 3 + 2. Factor 3*r - 3*r**2 + i*r**2 + 4*r**2 + 3*r**3.
3*r*(r + 1)**2
Let b(f) be the second derivative of f**4/66 - f**3/11 - 4*f**2/11 - 6*f. Factor b(d).
2*(d - 4)*(d + 1)/11
Let t(u) = -3*u**2 - 6*u + 1. Let q(l) = 12*l**2 + 24*l - 3. Let v(i) = 4*q(i) + 15*t(i). Solve v(f) = 0.
-1
Let w = 136 + -271/2. Solve -w*v**5 + 0*v + 0*v**2 + 5/4*v**4 - 1/2*v**3 + 0 = 0.
0, 1/2, 2
Suppose -5*b = -10, 0 = 2*y - 3*b - 0 + 2. Let r be 15/3 - 4/y. Suppose 2 - 1 + 2*x + 4*x**4 - 2*x**r - 5*x**4 = 0. What is x?
-1, 1
Let j(m) be the first derivative of -2/35*m**5 + 2/21*m**3 - 1/7*m**4 - 3 + 2/7*m**2 + 0*m. Determine l, given that j(l) = 0.
-2, -1, 0, 1
Let p(h) = -2*h**2 - 6. Let d(l) = 4*l**2 + l + 11. Let g be (-970)/(-90) + (-4)/(-18). Let r(a) = g*p(a) + 6*d(a). Factor r(t).
2*t*(t + 3)
Let s(h) be the second derivative of h**5/20 - h**4/6 - h**3/2 - h. What is r in s(r) = 0?
-1, 0, 3
Factor 44/3*y**2 + 0*y - 4/3*y**3 + 0.
-4*y**2*(y - 11)/3
Suppose 8 = f - 0*f. Suppose 3*l + 2 = f. Suppose -2/5*h**l + 2/5*h + 0 = 0. Calculate h.
0, 1
Let y(g) be the second derivative of -g**4/4 - 2*g**3 - 6*g**2 + 7*g. Factor y(w).
-3*(w + 2)**2
Let j(q) be the third derivative of q**6/24 + 12*q**2. Factor j(p).
5*p**3
Let g(a) = 7*a**2 + 12*a + 2. Let j(n) = 20*n**2 + 35*n + 7. Let x(q) = -17*g(q) + 6*j(q). Solve x(m) = 0 for m.
-4, -2
Let s(r) be the second derivative of r**7/42 + r**6/5 + 7*r**5/10 + 4*r**4/3 + 3*r**3/2 + r**2 + 5*r. Factor s(t).
(t + 1)**4*(t + 2)
Determine q, given that -2/7*q**2 - 40/7 + 2/7*q**3 - 32/7*q = 0.
-2, 5
Let a(h) be the third derivative of 3*h**8/560 + h**7/175 + 7*h**2. Factor a(q).
3*q**4*(3*q + 2)/5
Suppose -9 = t - 4*t. Find z, given that 4*z**2 - 2 - 5*z**2 - 5*z**4 + 8*z**2 - t*z**3 + 3*z = 0.
-1, 2/5, 1
Let p be 5 + 0*(-1)/3. Factor -8*w - 6*w**2 - w**3 - p*w**3 - 2*w**4 + 6*w.
-2*w*(w + 1)**3
Let x be (-2)/(-3) + 7/21. Let g(m) = m - 1. Let z be g(x). Let 2*y**4 + 5*y**2 - 3*y**2 - 4*y**3 + z*y**2 = 0. Calculate y.
0, 1
Let f(g) be the first derivative of g**3/9 - 2*g**2/3 + 4*g/3 + 3. Factor f(p).
(p - 2)**2/3
Let r(x) be the second derivative of 2/45*x**6 + 5*x + 1/6*x**5 - 1/9*x**3 + 1/6*x**4 + 0 - 1/3*x**2. Factor r(f).
2*(f + 1)**3*(2*f - 1)/3
Let d(f) = -f**3 - 9*f**2 + 3*f. Let a(m) = -2*m**3 - 10*m**2 + 2*m. Let y(t) = -3*a(t) + 2*d(t). Factor y(c).
4*c**2*(c + 3)
Let b(h) be the third derivative of -h**6/60 + h**5/30 + h**4/6 + h**2. Factor b(t).
-2*t*(t - 2)*(t + 1)
Let s(x) be the second derivative of -x**6/105 - x**5/70 + x**4/21 + 5*x. Find h, given that s(h) = 0.
-2, 0, 1
Let b(h) = -h + 2. Let s be b(-8). Let i be 4/s - (-22)/20. Factor -i*l + 1/2*l**3 + 1 + 0*l**2.
(l - 1)**2*(l + 2)/2
Let h(a) be the third derivative of -4*a**2 + 0*a**3 + 0 - 1/10*a**7 + 4/5*a**5 - 1/8*a**6 + 0*a - 1/2*a**4. Let h(f) = 0. Calculate f.
-2, 0, 2/7, 1
Let d be ((-5)/1 - -3)/(-1). Suppose -2*o = 2*t - 4 - 2, d*t - 4*o = 0. Determine m so that -m**2 - 3*m**2 - 2 + 3*m**t + 3 = 0.
-1, 1
Let w(u) = -u**5 - 2*u**4 + 3*u**3 - 2*u**2. Let j(k) = -k**5 + k**3 - k**2. Let z(s) = 2*j(s) - w(s). Find t such that z(t) = 0.
0, 1
Let d be (-381)/(-12) + 3/12. Let p = 66 - d. Factor p - 81*q + 27*q**2 - 10*q**3 + 7*q**3 + 47.
-3*(q - 3)**3
Factor -1/2 + u - 1/2*u**2.
-(u - 1)**2/2
What is q in -4*q**2 + 15*q**3 + 5*q**2 + 12*q**4 + 3*q**5 + 4*q**2 + q**2 = 0?
-2, -1, 0
Factor -20/3*f + 2/3*f**2 + 2/3*f**3 + 16/3.
2*(f - 2)*(f - 1)*(f + 4)/3
Let h = 0 + 4. Factor 4*s**3 - 5*s**4 - h*s**4 - s**4.
-2*s**3*(5*s - 2)
Let d(w) = 4*w**3 - w**2. Let r be d(1). Factor 4*h - r*h**2 + h**3 - h**2 + h + 2 - 4.
(h - 2)*(h - 1)**2
Let d(h) be the third derivative of h**6/720 + h**5/360 - 19*h**2. Factor d(p).
p**2*(p + 1)/6
Let z(w) be the third derivative of -2*w**2 + 0 + 1/24*w**4 + 0*w + 1/60*w**5 - 1/6*w**3 - 1/120*w**6. Factor z(x).
-(x - 1)**2*(x + 1)
Suppose 0 + 0*k + 2/9*k**5 + 2/9*k**3 + 0*k**2 + 4/9*k**4 = 0. What is k?
-1, 0
Let g(l) be the third derivative of -l**6/540 + l**5/135 - l**4/108 + 4*l**2. Factor g(r).
-2*r*(r - 1)**2/9
Let n(i) = 2*i - 17. Let u be n(11). Let w(d) be the second derivative of 0*d**u + 1/147*d**7 + 0 + 0*d**2 + 0*d**4 + 0*d**3 + 1/105*d**6 - 2*d. Factor w(b).
2*b**4*(b + 1)/7
Suppose 0 = 3*d - 4 - 2. Find o, given that o**3 + 3*o**d - 3*o**2 = 0.
0
Let u be (1*3)/((-18)/(-12)). Factor 0*i**u - 2*i + 4*i**3 + 2*i**4 - 2*i**2 - 2*i**3.
2*i*(i - 1)*(i + 1)**2
Let j(x) = -x**2 + 16*x - 12. Le