= a**2 - 8*a + 1. Let t(o) = o + 2. Let m be t(-1). Let c(y) = y. Let x(k) = k**2 - k + 6. Let p be x(0). Let d(i) = m*z(i) + p*c(i). Factor d(n).
(n - 1)**2
Suppose -20*c - 2*c = 0. Factor -2*g**5 - 18/7*g**4 + c*g**2 + 0 - 4/7*g**3 + 0*g.
-2*g**3*(g + 1)*(7*g + 2)/7
Let c(w) = w**3 - 4*w**2 - 2*w + 3. Let v(i) = -i. Let f(s) = c(s) - 2*v(s). Let y be f(4). Let 2*l**y - 2*l**3 - 2*l - l**2 + l**3 = 0. Calculate l.
-1, 0, 2
Suppose 0*b**4 - 2/5*b**5 + 0*b**2 + 0 - 2/5*b + 4/5*b**3 = 0. What is b?
-1, 0, 1
Suppose -4*i = -0*i + 8. Let t be i*1 + 5 + 0. Solve -1 - z - 1 + z**t - z**2 + 3 = 0.
-1, 1
Let w be (0 + 6/(-4))*-2. Let j(x) be the second derivative of -1/36*x**4 - 1/6*x**2 + 0 + 1/9*x**3 - w*x. Solve j(b) = 0.
1
Suppose b - 4 = -r, 0 = -2*b - r + 33 - 27. Solve 0*q + 0 + q**2 + b*q**4 + 5/2*q**3 + 1/2*q**5 = 0.
-2, -1, 0
Let 70/11*o**3 + 0 - 4/11*o + 52/11*o**4 + 14/11*o**2 = 0. What is o?
-1, -1/2, 0, 2/13
Let u(n) be the first derivative of 5/27*n**6 + 1/2*n**4 + 0*n + 26/45*n**5 + 3 - 2/27*n**3 - 2/9*n**2. Find h such that u(h) = 0.
-1, 0, 2/5
Let d(s) be the second derivative of -7*s**5/30 - s**4/6 + s**2/2 - 2*s. Let b(k) be the first derivative of d(k). Find i such that b(i) = 0.
-2/7, 0
Let q(h) = h**3 - h**2 + 2*h. Let r(g) = -9*g**3 + 9*g**2 - 21*g. Let z(s) = 21*q(s) + 2*r(s). Solve z(d) = 0 for d.
0, 1
Let h be 16/88 - (-1466)/(-440). Let g = h + 847/180. Solve g*f - 4/3*f**2 + 4/9 - 14/9*f**3 + 8/9*f**4 = 0 for f.
-1, -1/4, 1, 2
Solve 8/5*b + 8/5*b**2 + 0 - 2/5*b**3 - 2/5*b**4 = 0 for b.
-2, -1, 0, 2
Suppose 32*s + 5*s**2 - 12*s + 0*s**2 = 0. What is s?
-4, 0
Let w(o) be the second derivative of -o**7/126 - 2*o**6/45 - o**5/12 - o**4/18 - 19*o. Suppose w(a) = 0. Calculate a.
-2, -1, 0
Factor 8*f**3 + 36*f**4 + 13 - 32*f**4 - 13.
4*f**3*(f + 2)
Let j = -2 + 4. Solve 2*d - 3*d + 0*d**2 - 2*d**j + d**2 = 0.
-1, 0
Let c(t) be the second derivative of t**7/90 - t**6/180 - 7*t**5/180 + t**4/36 - t**2/2 + 2*t. Let n(s) be the first derivative of c(s). What is i in n(i) = 0?
-1, 0, 2/7, 1
Suppose -i + 3*i + 2*a + 4 = 0, 2*i - 5*a - 10 = 0. Let t(q) be the third derivative of i*q + 0 - q**2 - 1/24*q**4 + 1/12*q**3 + 1/120*q**5. Solve t(p) = 0.
1
Let x(n) = -n**3 - 3*n**2 - 3*n - 5. Let k(m) = -1. Let t(p) = -12*k(p) + 3*x(p). Solve t(r) = 0.
-1
Let r(k) = -39*k**5 + 39*k**4 + 12*k**3 - 12*k**2 + 27*k + 27. Let p(h) = -3*h**5 + 3*h**4 + h**3 - h**2 + 2*h + 2. Let s(d) = -27*p(d) + 2*r(d). Factor s(q).
3*q**2*(q - 1)**2*(q + 1)
Suppose -1 - 4 = -d. Find b, given that 1/3*b**d - 2/3*b**3 + 1/3*b - 2/3*b**2 + 1/3*b**4 + 1/3 = 0.
-1, 1
Let f(y) be the third derivative of 0 + 0*y + 2*y**2 + 1/660*y**6 + 2/33*y**3 + 2/165*y**5 + 5/132*y**4. Factor f(m).
2*(m + 1)**2*(m + 2)/11
Let w be (-2)/(-4) - 3/6. Determine n, given that 1/5*n**3 - 3/5*n**2 + 4/5 + w*n = 0.
-1, 2
Suppose -s + 0*i + 4*i - 8 = 0, -3*i = -4*s + 7. Let v(l) be the first derivative of 1/9*l**3 - 2 + 0*l - 1/6*l**s + 1/15*l**5 + 0*l**2. Factor v(d).
d**2*(d - 1)**2/3
Let q = -455/18 + 76/3. Let f(w) be the second derivative of 2/27*w**3 - 1/18*w**5 + w - q*w**4 + 0*w**2 + 0. Factor f(g).
-2*g*(g + 1)*(5*g - 2)/9
Let z(u) = u**5 + u**4 - u**3 + u. Let w(b) = -3*b**5 - 8*b**4 + b**3 + 6*b**2 - 3*b - 3. Let n(a) = w(a) + 5*z(a). Solve n(c) = 0 for c.
-1, 1, 3/2
Let d(a) = 3*a**4 + 21*a**3 + 15*a**2 - 12*a. Let i(q) = -q**4 - 10*q**3 - 7*q**2 + 6*q. Let y(m) = 4*d(m) + 9*i(m). Suppose y(h) = 0. What is h?
-1, 0, 1, 2
Let n = -5281/9 - -587. Solve n*k + 2/9*k**2 + 0 = 0 for k.
-1, 0
Let n(a) be the second derivative of -1/160*a**5 + 5*a - 1/2*a**2 - 1/16*a**4 - 1/4*a**3 + 0. Suppose n(r) = 0. Calculate r.
-2
Suppose -j + 1071 = 2*j. Let d = j - 1055/3. Let -6*c - d*c**2 + 4/3 + 10*c**3 = 0. Calculate c.
-2/3, 1/5, 1
Let o(g) = 10*g**3 + 15*g**2 + 20*g - 5. Let j(a) = -9*a**3 - 16*a**2 - 20*a + 4. Let s(w) = -5*j(w) - 4*o(w). Factor s(n).
5*n*(n + 2)**2
Let m(u) = 2*u**4 + 22*u**3 + 79*u**2 + 32*u - 121. Let q(b) = -2*b**4 - 22*b**3 - 78*b**2 - 32*b + 122. Let n(f) = 6*m(f) + 7*q(f). Let n(z) = 0. What is z?
-4, 1
Let c(b) = -3*b**3 + 17*b**2 + 20*b + 5. Let o(s) = -15*s**3 + 84*s**2 + 99*s + 24. Let r(j) = 24*c(j) - 5*o(j). Let r(x) = 0. What is x?
-1, 0, 5
Suppose 324 = -3*u - 531. Let k = u + 1221/4. Determine b so that k*b**3 + 9*b**2 + 0 + b = 0.
-2/9, 0
Determine i so that -1/3*i**4 - 12*i**2 - 11/3*i**3 + 64/3 - 16/3*i = 0.
-4, 1
Let i(d) be the second derivative of -5*d**4/8 + d**3/4 - 31*d - 1. Find g, given that i(g) = 0.
0, 1/5
Suppose j - 12 = -2*j. Suppose 6*v = j + 14. Factor 6/7*l + 2/7 - 6/7*l**4 - 4/7*l**v + 4/7*l**2 - 2/7*l**5.
-2*(l - 1)*(l + 1)**4/7
Let d(o) = 2*o**2 + 0*o**2 - 5*o**2 + 2*o**2. Let k(t) = -12*t**2 + 4*t. Let p(g) = -6*d(g) + k(g). Find a such that p(a) = 0.
0, 2/3
Let i(o) = -o**2 - 2*o - 3*o + 6*o + 2*o**2. Let r be i(-1). Determine h so that r + 0*h + 2/5*h**2 = 0.
0
Suppose 5*n - 3*j - 13 = 0, 6 = 2*n + 3*j + 5. Find h, given that 2/3*h**3 + 2*h + 0 + 10/3*h**n - 2/3*h**4 = 0.
-1, 0, 3
Let c = -6 - -11. Suppose -5*m + c = -10. Suppose -h**m - 1/3*h - 1/3 + 5/3*h**2 = 0. What is h?
-1/3, 1
Let q(p) be the first derivative of 2*p**3/15 - 2*p/5 + 20. Let q(c) = 0. Calculate c.
-1, 1
Suppose 5*z + 4 = 4*o, 3 = -2*z - 22*o + 25*o. Let z - 1/6*u**5 + 0*u + 0*u**2 + 2/3*u**4 - 2/3*u**3 = 0. What is u?
0, 2
Let m(s) be the second derivative of -s**6/6 - s**5/4 + 5*s**4/4 + 25*s**3/6 + 5*s**2 + 5*s. Determine b, given that m(b) = 0.
-1, 2
Factor 0 + 0*t + 2/7*t**3 + 4/7*t**2.
2*t**2*(t + 2)/7
Let w(l) = -l**4 - l. Let j(m) = m**4 - 7*m**3 + 8*m**2 + 10*m. Let h(c) = -j(c) - 6*w(c). Factor h(g).
g*(g - 1)*(g + 2)*(5*g + 2)
Let o(y) be the second derivative of -y**5/10 + y**4/6 + y**3/3 - y**2 - 2*y. Find h such that o(h) = 0.
-1, 1
Let 8*h**2 - 3*h**3 - 15*h + 6 + 4*h**2 + 0 = 0. What is h?
1, 2
Solve -42/11*w**2 - 16/11*w + 8/11 - 50/11*w**4 + 100/11*w**3 = 0.
-2/5, 2/5, 1
Solve 4*t**2 + 2/3 + 2/3*t**4 - 8/3*t**3 - 8/3*t = 0.
1
Suppose -3*q - 4 + 7 = 0. Let k(p) = -p. Let h(f) = -f**2 + 2*f + 1. Suppose 5 = 4*a - 3. Let r(v) = a*k(v) + q*h(v). Factor r(b).
-(b - 1)*(b + 1)
Let s(k) be the second derivative of k**6/60 - 3*k**5/40 + k**4/8 - k**3/12 - 3*k. Factor s(d).
d*(d - 1)**3/2
Determine o, given that 2/3*o**5 + 0 + 26/3*o**3 + 8*o**2 + 8/3*o + 4*o**4 = 0.
-2, -1, 0
Let h(w) be the first derivative of w**3/12 - w - 5. Let h(r) = 0. What is r?
-2, 2
Let z(h) be the second derivative of 0*h**3 + 0*h**2 + 2/21*h**7 - 3/10*h**6 + h - 1/12*h**4 + 3/10*h**5 + 0. Factor z(g).
g**2*(g - 1)**2*(4*g - 1)
Let f = -32 + 23. Let y(j) = -17*j**2 + 8*j - 9. Let u(o) = -4*o**2 + 2*o - 2. Let p(h) = f*u(h) + 2*y(h). Solve p(m) = 0 for m.
0, 1
Let h(p) = -4*p**4 - 3*p**3 + 9*p**2 + 11*p - 3. Let q(l) = 4*l**4 + 2*l**3 - 10*l**2 - 10*l + 2. Let n(d) = -2*h(d) - 3*q(d). Factor n(m).
-4*m*(m - 2)*(m + 1)**2
Let u(w) = -4*w**4 + 4*w**3 - w**2 + w + 5. Let m(r) = -r**4 + r**3 + 1. Suppose -2*z + 29 = q, -5*z = -z - 5*q - 65. Let i(h) = z*m(h) - 3*u(h). Factor i(c).
-3*c*(c - 1)**2*(c + 1)
Let v(c) = -c**3 + 2*c**2 + 3*c + 2. Let n(s) = -s**2 - s - 1. Let d(i) = 2*n(i) + v(i). Let p be d(-1). Factor -2*r**2 + 2*r + p + 0*r**2 + 5 - 1.
-2*(r - 2)*(r + 1)
Let z(q) be the first derivative of -q**2/2 + 6*q - 2. Let v be z(3). Factor t**v + 6*t**4 - t**2 - 4*t**4 - 3*t - 1 + 2*t**3.
(t - 1)*(t + 1)**2*(2*t + 1)
Let c(y) be the third derivative of y**10/378000 - y**8/16800 - y**7/6300 + y**5/15 + 2*y**2. Let a(v) be the third derivative of c(v). Factor a(i).
2*i*(i - 2)*(i + 1)**2/5
Factor -4*h**3 + 26/3*h**2 + 2/3*h**4 - 8*h + 8/3.
2*(h - 2)**2*(h - 1)**2/3
Determine l so that 2 + 7/4*l**4 + 33/2*l**2 + 37/4*l**3 + 11*l = 0.
-2, -1, -2/7
Let i(k) be the third derivative of k**6/90 + k**5/60 - 2*k**4/9 - 2*k**3/3 - 6*k**2. Let i(t) = 0. Calculate t.
-2, -3/4, 2
Let c be (-7 - -4) + -8 + 0. Let r = c + 15. Determine n so that -2 - n**2 + 2 + 9*n**2 + 56*n**3 + 98*n**r = 0.
-2/7, 0
Let i(v) be the third derivative of v**7/105 - v**6/20 - v**5/30 + v**4/4 - 43*v**2. Factor i(l).
2*l*(l - 3)*(l - 1)*(l + 1)
Suppose 11 = -4*l - 9, -2*w - 3*l + 21 = 0. Factor 16*s + 49*s**3 + 44*s**2 + 8*s**5 - 16 + 34*s**4 + w + 7*s**3.
2*(s + 1)**4*(4*s + 1)
Let o(f) be the third derivative 