*f - 3*f + 3*x - 73 = 0, -5*x - 113 = 2*f. Let s be ((-6)/(-8))/((-168)/f). Factor 2/7*l - 2/7*l**3 + s*l**2 - 2/7.
-2*(l - 1)**2*(l + 1)/7
Let c = 0 + 2. Suppose -g + c*z = 2, -2*g + 14 = 7*z - 2*z. Factor g*k - 6*k**2 - 2*k**3 + 6*k**2.
-2*k*(k - 1)*(k + 1)
Let l(f) be the second derivative of f**5/5 + f**4 + 2*f**3 + 2*f**2 - f. Factor l(n).
4*(n + 1)**3
Let j(y) be the second derivative of 0 + 1/70*y**5 + 1/147*y**7 + 2/105*y**6 + y + 0*y**4 + 0*y**2 + 0*y**3. Factor j(n).
2*n**3*(n + 1)**2/7
Let n(l) be the second derivative of -l**7/28 - l**6/10 + 3*l**5/20 + l**4 + 7*l**3/4 + 3*l**2/2 + 6*l. Factor n(y).
-3*(y - 2)*(y + 1)**4/2
Let q(u) = u**2 + u - 3. Let k be q(-3). Solve 4*z**4 + 78 - 78 - 6*z**5 + 2*z**k = 0.
-1/3, 0, 1
Suppose -189*o + 207*o - 36 = 0. Determine i, given that -2/5*i**o + 12/5*i - 18/5 = 0.
3
Suppose 0*m - 3*a - 13 = -2*m, 5*m - a = 13. Find k such that -1/4*k - 1/4*k**m + 0 = 0.
-1, 0
Let i = 100 - 100. Let l(b) be the second derivative of -1/18*b**4 + i - 3*b + 2/3*b**2 - 1/9*b**3. Factor l(s).
-2*(s - 1)*(s + 2)/3
Suppose 0*z + 3*z = 0. Determine n, given that 0*n + 0*n**2 + 2*n**2 + z*n + 3*n**3 = 0.
-2/3, 0
Let x(f) be the second derivative of -f**7/70 - f**6/10 - 3*f**5/10 - f**4/2 - f**3/2 - 3*f**2/2 + 5*f. Let k(y) be the first derivative of x(y). Factor k(p).
-3*(p + 1)**4
Let x(b) = 9*b + 17. Let j(d) = 4*d + 8. Let a(w) = -5*j(w) + 2*x(w). Let m be a(-7). Suppose -6*s**2 - 6*s**3 - m*s**3 + 4*s - 4*s**2 = 0. Calculate s.
-1, 0, 2/7
Let q = 146 - 142. Let b(j) be the second derivative of -1/4*j**3 + 2*j + 3/8*j**q + 0 + 0*j**2. Factor b(l).
3*l*(3*l - 1)/2
Let c(f) be the second derivative of 1/120*f**6 + 0*f**2 - 5*f + 0 - 1/168*f**7 + 1/80*f**5 - 1/48*f**4 + 0*f**3. Factor c(k).
-k**2*(k - 1)**2*(k + 1)/4
Suppose -4 = 4*w - 12. Let b(m) be the first derivative of -18*m**3 + 18*m**w + 2 - 8*m + 27/4*m**4. Solve b(h) = 0 for h.
2/3
Let g be ((-54)/(-12) - -4) + -7. Suppose 2 + 2*h**3 - 2*h - g*h**2 - 1/2*h**4 = 0. What is h?
-1, 1, 2
Suppose -4*u - u - 4*d + 12 = 0, 5*d = -4*u + 15. Suppose -2*f + 18 - 14 = u. Factor -n**f + 1/2*n + 0 + 1/2*n**3.
n*(n - 1)**2/2
Let z(n) = -4*n - 8. Let y(b) = b**2 + b - 1. Let w(d) = 4*y(d) - z(d). Factor w(i).
4*(i + 1)**2
Let y be ((-2)/4 - (-1)/3)*-2. Let f(u) be the first derivative of 1/9*u**3 + y*u + 1 + 1/3*u**2. Factor f(k).
(k + 1)**2/3
Suppose -5*t + 3*t + 5*p + 21 = 0, 45 = 3*t - 3*p. What is r in 3*r**5 - r**5 + t*r - 4*r**3 - 16*r = 0?
-1, 0, 1
Let g be (-52)/24 - -8 - 2/(-12). Suppose -g*w + 3/2*w**2 + 6 = 0. Calculate w.
2
Let q(n) be the third derivative of 0 - 1/60*n**4 + 7/300*n**6 - 4*n**2 - 1/75*n**5 + 0*n**3 - 4/525*n**7 + 0*n. Factor q(b).
-2*b*(b - 1)**2*(4*b + 1)/5
Factor 34*v - 4*v**3 + 3*v**2 - 13*v**2 - 4 - 46*v - 2*v**2.
-4*(v + 1)**3
Let z = 8/17 - 7/51. Factor 0*f + z*f**2 - 1/3*f**3 + 0.
-f**2*(f - 1)/3
Let m(n) be the second derivative of n**6/6 + n**5/4 - n. Suppose m(y) = 0. Calculate y.
-1, 0
Let b(x) be the third derivative of x**8/840 + x**7/84 + x**6/20 + 7*x**5/60 + x**4/6 - x**3/2 - 2*x**2. Let j(a) be the first derivative of b(a). Factor j(f).
2*(f + 1)**3*(f + 2)
Let c = 1 - -1. Let g(z) = -5 + z + 4 - z**2 + 0*z**c. Let b(r) = -2*r**2 + 2*r - 5. Let u(f) = b(f) - 3*g(f). Determine j so that u(j) = 0.
-1, 2
Let r(c) be the first derivative of -1/9*c**3 + 1/6*c**2 + 2/3*c - 2. Let r(z) = 0. What is z?
-1, 2
Suppose -4/7*t**5 + 2/7*t**3 + 0*t**2 + 0*t + 0 + 2/7*t**4 = 0. Calculate t.
-1/2, 0, 1
Let j(d) = 3*d**2 + d**3 - d**2 - 7*d**2 - 3 + 6. Let b be j(5). Find p such that p**3 - 2*p**2 + 5*p**2 + 0*p**3 + 1 + b*p = 0.
-1
Determine f so that 14*f**3 + 123*f**2 + 4*f**3 - 2*f**4 - 153*f**2 + 4*f + 10*f = 0.
0, 1, 7
Factor 2/5*l**2 + 26/5*l + 24/5.
2*(l + 1)*(l + 12)/5
Let y = -2/49 + 218/539. Suppose -10/11*g + y - 2/11*g**3 + 8/11*g**2 = 0. What is g?
1, 2
Let r(k) = k**3 + 28*k**2 + 28*k + 29. Let g be r(-27). Suppose 2/5*t**g - 2/5*t**3 + 0*t + 2/5*t**5 + 0 - 2/5*t**4 = 0. What is t?
-1, 0, 1
Let v(g) = 2*g**3 + 3*g**2 + 4*g + 2. Let z(k) = k**3 - k**2 - k. Let q(c) = 2*v(c) - 2*z(c). What is j in q(j) = 0?
-2, -1
Suppose 3*s - 2*s + 0*s = 0. Let q(m) be the second derivative of 4*m - 1/10*m**2 - 1/15*m**3 + s - 1/60*m**4. Factor q(d).
-(d + 1)**2/5
Let m(y) be the second derivative of y**5/150 - y**4/90 - 2*y**3/15 + 7*y. Let m(w) = 0. Calculate w.
-2, 0, 3
Let y(b) be the first derivative of 2*b**3/7 + b**2/7 - 4*b/7 + 12. Factor y(g).
2*(g + 1)*(3*g - 2)/7
Let f = -4 - -8. Suppose -f = -r - b, 2*r - 20 = -3*r + 3*b. Factor 0*q + 0 + 1/4*q**5 - 1/4*q**3 + 0*q**r + 0*q**2.
q**3*(q - 1)*(q + 1)/4
Suppose -76*v + 77*v - 4*b - 10 = 0, v = b + 4. Factor 16/3*a + 4/3*a**v + 4.
4*(a + 1)*(a + 3)/3
Let l(c) = 11*c**5 + 9*c**4 - 2*c**3 + 9*c - 9. Let f(h) = h**5 + h**4 + h - 1. Let b(u) = 18*f(u) - 2*l(u). Let b(g) = 0. What is g?
-1, 0, 1
Factor 3*z - 1/2*z**2 - 3/2*z**4 - 11/4*z**3 - 1/4*z**5 + 2.
-(z - 1)*(z + 1)*(z + 2)**3/4
Suppose -2 = -4*n + 6. Determine j, given that -j**n - 5 - 9 + j**4 + 14 = 0.
-1, 0, 1
Let f be (-3)/6*4/(-6). Factor -l + 1/3 + l**2 - f*l**3.
-(l - 1)**3/3
Let k(h) be the second derivative of h**4/9 + 8*h**3/9 + 2*h**2 - 11*h. Find m such that k(m) = 0.
-3, -1
Let q(o) = -4*o**2 - 5*o + 4. Let p(n) = -n**2. Let m(w) = 3*p(w) - q(w). Let l be m(-6). Determine a so that 2*a**2 + 2*a**2 - l + 3*a**4 - 5*a**4 = 0.
-1, 1
Let o(h) be the first derivative of h**4/12 + h**3/3 + h**2/2 - 2*h + 1. Let v(g) be the first derivative of o(g). Factor v(t).
(t + 1)**2
Let f(j) be the first derivative of j**7/2520 - j**6/540 - j**5/360 + j**4/36 + j**3/3 + 7. Let u(b) be the third derivative of f(b). Factor u(i).
(i - 2)*(i - 1)*(i + 1)/3
Let t = 31/7 - 47/7. Let b = -41/21 - t. Factor 2/3*x + b*x**2 + 1/3.
(x + 1)**2/3
Let l be (-1)/(-8)*4/2. Factor -1 + l*p**4 + p**3 + 3/4*p**2 - p.
(p - 1)*(p + 1)*(p + 2)**2/4
Let j = -3/197 + 269/4728. Let m(g) be the third derivative of -j*g**4 + 0*g**3 - 1/120*g**6 + 0 + 1/30*g**5 + 0*g - 3*g**2. Factor m(a).
-a*(a - 1)**2
Let t(n) = n**3 - 4*n**2 - 5*n + 4. Let v be t(5). Suppose -9 = -p - v. What is g in -g**4 + 2*g**3 + g**2 - 2*g**p - 4*g**2 + 5*g**2 - g**4 = 0?
-1, 0, 1
Let -122/3*t**2 + 16/3 + 14/3*t**5 + 4/3*t + 182/3*t**3 - 94/3*t**4 = 0. What is t?
-2/7, 1, 4
Let d(z) = -z**2 + 3. Let u be d(-3). Let j(p) = -p**4 + p**3 - p - 1. Let s(l) = 9*l**3 - 3*l**2 - 6*l - 6. Let y(f) = u*j(f) + s(f). Factor y(t).
3*t**2*(t + 1)*(2*t - 1)
Let a(p) be the second derivative of p**6/6 + 9*p**5/4 + 55*p**4/6 - 80*p**2 + 28*p. Let a(i) = 0. What is i?
-4, -2, 1
Let p(k) = 12*k**2 - 25*k - 15. Let x(z) = -37*z**2 + 75*z + 45. Let o(y) = -7*p(y) - 2*x(y). Find g such that o(g) = 0.
-1/2, 3
Suppose -3*w + 14 - 2 = 0. Suppose -4*j + l + 19 = 0, -l = 4*j + w*l - 1. Factor -18/5*q**3 - 4/5*q**5 - 2/5*q + 0 + 2*q**2 + 14/5*q**j.
-2*q*(q - 1)**3*(2*q - 1)/5
Let v be (0 - 1)/(2/(-4)). Let p(a) = a**3 - 3*a + 2. Let g be p(v). Solve -6 - 20*f**3 + 25*f**4 + g*f**2 + 6 = 0.
0, 2/5
Let l(a) = a**3 + 8*a**2 + 8*a + 9. Let i be -8 - 1*(-1 + 0). Let j be l(i). Solve 2*v**2 - j*v + 3*v**3 + 3*v**3 - 2 - 4*v**3 = 0 for v.
-1, 1
Suppose 0 = -3*j - 1 + 7. Let q(a) be the third derivative of 0*a**4 + 0*a**3 - 1/735*a**7 + 0*a + 0*a**5 + a**j - 1/420*a**6 + 0. Suppose q(g) = 0. What is g?
-1, 0
Let k(j) = -j**2. Let o(b) = 5*b**2 - 4*b + 2. Let i(a) = 4*k(a) + o(a). Let u be i(4). Let u*c**2 + c - 3*c - 4*c**2 = 0. What is c?
-1, 0
Let d(q) = q - 4. Let i be d(5). Let f be (0/14)/(0 + i). Factor 1/4*m**5 + 0*m**2 + 0*m**4 + f + 0*m - 1/4*m**3.
m**3*(m - 1)*(m + 1)/4
Let s(f) be the first derivative of 3*f**4/4 + 2*f**3 - 6*f**2 - 24*f - 4. Determine b so that s(b) = 0.
-2, 2
Let p = 40 + -26. Find u, given that -6*u + 7*u**2 + 4*u**3 - p*u + 14 - 2 - 3*u**2 = 0.
-3, 1
Let z(g) be the first derivative of 3*g**4/4 - 2*g**3 - 3*g**2/2 + 6*g - 5. Suppose z(k) = 0. Calculate k.
-1, 1, 2
Let 6*t**2 + t**3 - 3*t - 4 + 6*t**2 - 3*t**3 - 3*t**2 = 0. What is t?
-1/2, 1, 4
Let y(h) be the first derivative of -2*h**2 + 6*h + 4 - 2/3*h**3. Let y(r) = 0. What is r?
-3, 1
Let x = 22 - 16. Factor 12*c**2 + x + 18*c**3 + 4*c**3 - 27*c + 14*c**3 + 9*c**3.
3*(c + 1)*(3*c - 1)*(5*c - 2)
Let u(q) be the second derivative of -q**1