 1)**2/7
Let w(z) = -3*z**2 - 5*z + 5. Let n be (2/(-2))/(1 + 0). Let c(f) = f**2 + f - 1. Let o(d) = n*w(d) - 5*c(d). Determine r so that o(r) = 0.
0
Let t(m) be the first derivative of -2*m**3/45 + 2*m**2/15 + 2*m/5 + 5. Factor t(k).
-2*(k - 3)*(k + 1)/15
Let r(o) be the third derivative of o**7/2016 + o**6/360 - o**5/120 + 7*o**4/24 - 5*o**2. Let z(l) be the second derivative of r(l). Find b such that z(b) = 0.
-2, 2/5
Let x be (-2)/23 - (-795)/5175. Let f(m) be the second derivative of -1/3*m**3 + m + 2*m**2 + 1/10*m**5 + x*m**6 - 1/2*m**4 + 0. Factor f(c).
2*(c - 1)**2*(c + 1)*(c + 2)
Let g = -8 - -14. Suppose -3*w + 9 = -g. Let 22/3*c**4 + 10*c**w - 16/3*c**3 - 8/3*c**2 + 0 + 0*c = 0. Calculate c.
-1, -2/5, 0, 2/3
Let u(b) = 5*b**4 + 4*b**3 - 5*b**2. Let y(t) = 6*t**4 - 2*t**4 + t**2 - 2*t**4 - 3*t**4 - t**3. Let r(o) = u(o) + 4*y(o). Factor r(a).
a**2*(a - 1)*(a + 1)
Let v be 6/(-5) + 1 + (-64)/(-20). Let g(l) be the first derivative of 0*l + 1/12*l**4 + 0*l**v - 1/6*l**2 - 3. Factor g(h).
h*(h - 1)*(h + 1)/3
Let x(i) be the third derivative of -1/60*i**5 + 0 + 0*i + 0*i**3 + 1/120*i**6 - i**2 + 1/210*i**7 - 1/24*i**4. Find b, given that x(b) = 0.
-1, 0, 1
Let f(y) = 5*y**4 - 15*y**2 - y + 4*y**4 - 11 - 21*y**3 + 6*y**4. Let n(h) = 3*h**4 - 4*h**3 - 3*h**2 - 2. Let q(p) = -2*f(p) + 11*n(p). Solve q(x) = 0 for x.
-1, 0, 2/3, 1
Let v(u) = 9*u**2 + 27*u + 10. Let b(h) be the second derivative of h**4/2 + 3*h**3 + 7*h**2/2 - 4*h. Let q(r) = -8*b(r) + 5*v(r). Solve q(w) = 0.
-2, -1
Let m(s) = -s**2 + s + 2. Let h(z) = 2*z**2 - 2*z - 5. Let q(a) = 2*h(a) + 5*m(a). Let g(l) = 15*l**2 - 15*l. Let r(p) = 2*g(p) + 33*q(p). Factor r(f).
-3*f*(f - 1)
Suppose -4 - 6 = -2*o. Suppose -4*m = -o - 3. Let 4*p + 5 + 2*p**m - 5 + 2 = 0. Calculate p.
-1
Factor -11*a**3 - 6*a**2 + 14*a**3 + 4 + 2*a - 5*a**3 - 2*a**4 + 4*a**4.
2*(a - 2)*(a - 1)*(a + 1)**2
Let s(f) be the third derivative of 1/1155*f**7 + 0 + 1/1848*f**8 - 1/165*f**5 + 1/33*f**3 + 1/132*f**4 + 5*f**2 - 1/330*f**6 + 0*f. Factor s(l).
2*(l - 1)**2*(l + 1)**3/11
Suppose 2*c - 45 = -3*c. Suppose q - 6 = -2*q - 2*m, -3*m + c = 0. Factor 0*l**3 + 1/2*l - l**2 + q + l**4 - 1/2*l**5.
-l*(l - 1)**3*(l + 1)/2
Let p be ((-18)/12)/((-1)/2). Let 1/5*n**p + 1/5*n + 2/5*n**2 + 0 = 0. What is n?
-1, 0
Let b = -72 - -87. Suppose -9*i**3 + 4/3 - 8*i + b*i**2 = 0. What is i?
1/3, 2/3
Let 4/5*u**2 - 1/5*u**3 + 2/5 - u = 0. Calculate u.
1, 2
Factor 6/5 + 9/5*i + 3/5*i**2.
3*(i + 1)*(i + 2)/5
Factor -167 + z**2 - 189 + 12*z + 392.
(z + 6)**2
Suppose -6/5*f**3 - 16/5 - 4/5*f**2 + 2/5*f**4 + 24/5*f = 0. What is f?
-2, 1, 2
Let o(q) be the first derivative of 0*q**3 - q**2 - 2 + 1/2*q**4 + 0*q. Factor o(l).
2*l*(l - 1)*(l + 1)
Let i(l) be the first derivative of l**6/4 + 9*l**5/10 + 9*l**4/8 + l**3/2 + 6. Factor i(k).
3*k**2*(k + 1)**3/2
Factor 0*g + 0 - 1/5*g**2.
-g**2/5
Factor 6*n**2 + 1 + 0*n**2 - 16*n + 11 - 2*n**2.
4*(n - 3)*(n - 1)
Factor 6 + 4*r**2 + 2 - 88*r + 76*r.
4*(r - 2)*(r - 1)
Let q(b) = b**2 - 7*b + 8. Let c be q(6). Determine a, given that -c*a**2 + 4*a + a - a = 0.
0, 2
Suppose 20*i - 9*i = 22. Factor -1/2*r**3 + i + 5/2*r**2 - 4*r.
-(r - 2)**2*(r - 1)/2
Let x(t) be the first derivative of 1/4*t**2 + 0*t**3 + 2 + 0*t - 1/8*t**4. Factor x(o).
-o*(o - 1)*(o + 1)/2
Let g(z) = -5 + 2*z - z**3 + z + 7*z**2 + 6*z. Let t be g(8). Let 2*w**2 + w - 6*w + t*w = 0. What is w?
0, 1
Let d be ((-1)/(-5))/(4/10). Let q(y) be the second derivative of 1/48*y**4 + 2*y - 1/6*y**3 + 0 + d*y**2. Factor q(l).
(l - 2)**2/4
Let x(j) be the third derivative of j**8/13440 - j**6/480 - j**5/30 - 8*j**2. Let r(c) be the third derivative of x(c). Solve r(v) = 0.
-1, 1
Let b(m) = -m**4 + 1. Let j(t) be the first derivative of 8/3*t**3 - 5/2*t**4 + 3 - t**2 - 2*t + 6/5*t**5. Let s(u) = 2*b(u) + j(u). Factor s(x).
2*x*(x - 1)**2*(2*x - 1)
Let o(l) be the second derivative of 5*l**4/12 + 5*l**3/3 + 5*l**2/2 + 35*l. Factor o(w).
5*(w + 1)**2
Let x = -799/21 - -115/3. Find g such that x*g**2 + 0 - 2/7*g = 0.
0, 1
Determine u so that -6*u**3 + 36*u**2 - 32*u**2 + 76*u**2 + 320*u + 11*u**3 = 0.
-8, 0
Suppose -25*z**5 + 266*z**2 - 10*z**3 - 15*z**4 - 20*z**4 - 266*z**2 = 0. Calculate z.
-1, -2/5, 0
Let w(n) be the third derivative of -n**5/80 - 3*n**4/32 + n**3/2 + 21*n**2. Factor w(t).
-3*(t - 1)*(t + 4)/4
Let s = -49/2 - -25. Let t(w) be the first derivative of -2*w**3 - 2*w - s*w**4 + 2 - 3*w**2. Let t(a) = 0. What is a?
-1
Let j(r) be the third derivative of r**7/1470 - r**6/420 + r**5/420 - r**2. Factor j(t).
t**2*(t - 1)**2/7
Let h(q) be the third derivative of 1/72*q**4 + 0*q - 1/9*q**3 + 0 + 1/180*q**5 - 3*q**2. Factor h(p).
(p - 1)*(p + 2)/3
Suppose 5*b - 5 = 5*o, 6*o - 2*o = 5*b - 6. Suppose 0 = 3*u - 7 - b. Let -u*l**2 - 2*l**3 - l**2 - 2 + 2 = 0. Calculate l.
-2, 0
Factor -2/5*i + 3/5 - 1/5*i**2.
-(i - 1)*(i + 3)/5
Solve t**3 - 5*t**2 - 15 - 2*t**3 - 4*t**3 + 25*t = 0.
-3, 1
Determine d, given that -32*d**2 + 64*d - 28*d**3 + 280 - 4*d**4 - 280 = 0.
-4, 0, 1
Let y(a) be the third derivative of a**8/3360 + a**7/420 + a**6/120 + a**5/60 + a**4/48 - a**3/6 + a**2. Let b(m) be the first derivative of y(m). Factor b(p).
(p + 1)**4/2
Let m(d) be the second derivative of d**6/6 - 5*d**5/4 + 5*d**4/3 + 21*d. Let m(q) = 0. Calculate q.
0, 1, 4
Let q be ((-1)/9)/((-1)/3)*8. Factor q*i**3 - 2/3 + 4/3*i + 14/3*i**2.
2*(i + 1)**2*(4*i - 1)/3
Let c(k) be the second derivative of 1/15*k**6 - 1/6*k**4 - 1/50*k**5 - 2/15*k**3 + 0*k**2 + 0 - k + 1/35*k**7. Let c(j) = 0. What is j?
-1, -2/3, 0, 1
Suppose m - 2*b - 16 = -3*m, 0 = 5*b + 20. Let m*a**2 - a**2 + a + 2*a**3 - a**3 + a**2 = 0. Calculate a.
-1, 0
Let y = 24 + -118/5. Suppose y*s**2 + 4/5 + 6/5*s = 0. Calculate s.
-2, -1
Suppose 5*y = 15, 3*y = -4*q - 35 - 116. Let x be (-16)/q + 4/15. Factor 1/3*f**2 + x*f + 1/3.
(f + 1)**2/3
Suppose 12*n = 13*n. Factor 0 + 2/7*k**4 + n*k**2 + 0*k + 0*k**3.
2*k**4/7
Let y be ((-168)/15)/(-4)*10. Let g be (y/(-10))/((-4)/20). Factor g*k + k**3 - 6*k**2 - 2*k + 3 - 11.
(k - 2)**3
Let g(d) be the third derivative of -5*d**2 + 0*d - 1/96*d**4 + 1/240*d**5 + 0 - 1/12*d**3. Factor g(m).
(m - 2)*(m + 1)/4
Let m(t) be the third derivative of -1/3*t**3 - 1/60*t**6 + 0*t + 1/12*t**4 + 0 + 1/30*t**5 + 3*t**2. Factor m(n).
-2*(n - 1)**2*(n + 1)
Let a(h) be the third derivative of 1/3*h**3 + 0 + 2*h**2 + 1/720*h**6 + 0*h**5 + 0*h - 1/48*h**4. Let x(g) be the first derivative of a(g). Factor x(f).
(f - 1)*(f + 1)/2
Factor 4*t**4 + 5*t**4 + 12*t + 3*t + 22*t**2 + 33*t**3 + 2 + 15*t**2.
(t + 1)*(t + 2)*(3*t + 1)**2
Suppose -5 + 2 = -p. Suppose p*a - 8 = 1. Factor r**2 - 3*r**4 + 2*r**4 - r**a + 2*r - r.
-r*(r - 1)*(r + 1)**2
Let q be (2/18)/((-1)/((-6)/4)). Let i(s) be the second derivative of -4*s - 1/72*s**4 + 1/12*s**3 + 0 - q*s**2. Let i(n) = 0. Calculate n.
1, 2
Let z = 12393023 + -13607540221/1098. Let o = 1/122 - z. Factor -o*c**3 + 0*c**2 - 56/9*c**4 - 98/9*c**5 + 0 + 0*c.
-2*c**3*(7*c + 2)**2/9
Let s(z) be the second derivative of -5*z**7/42 + 5*z**6/3 - 6*z**5 - 40*z**4/3 + 320*z**3/3 - 61*z. Factor s(f).
-5*f*(f - 4)**3*(f + 2)
Let s(p) = p**3 + 6*p**2 + 2*p + 1. Let n be s(-5). Suppose -2*j = -6*j + n. Solve 0*m**2 - 2*m - 6*m**2 + j*m**3 + 4*m = 0 for m.
0, 1/2, 1
Let y = -13 - -13. Let w(p) be the second derivative of -1/21*p**3 + 1/42*p**4 + 0 + p + y*p**2. Determine u so that w(u) = 0.
0, 1
Let u(x) be the second derivative of x**4 - x**3 - 3*x + 1/2*x**2 - 1/2*x**5 + 1/10*x**6 + 0. Determine d so that u(d) = 0.
1/3, 1
Factor 0 + 0*j**4 - 2/7*j + 0*j**2 + 4/7*j**3 - 2/7*j**5.
-2*j*(j - 1)**2*(j + 1)**2/7
Let v = -1395 + 9769/7. Solve 2/7*f**2 + 2/7 + v*f = 0.
-1
Let x(w) be the first derivative of -2/5*w**3 - 1/25*w**5 + 1/4*w**4 - 4 - 2/5*w**2 + 8/5*w. Suppose x(r) = 0. Calculate r.
-1, 2
Let w(z) = -z + 1. Let s(p) = 2*p**2 + 20*p + 6. Let x(i) = s(i) + 6*w(i). Suppose x(f) = 0. Calculate f.
-6, -1
Let d(k) be the third derivative of k**6/120 + k**5/10 - 7*k**4/24 + k**3/2 - 2*k**2. Let q be d(-7). Let -2*a**4 - 2*a**q - 3*a**4 + 6*a**4 = 0. What is a?
0, 2
Suppose 0 = -0*u + 5*u - 30. Suppose y - u = -y. Factor -1/3*g**2 + 2/3*g**y + 0*g + 0 - 1/3*g**4.
-g**2*(g - 1)**2/3
Let h(k) be the second derivative of -k**7/420 - k**6/240 + k**5/120 + k