n**2 - 16*n + 4. Let j(x) = -7*f(x) - 6*g(x). Solve j(y) = 0 for y.
-1, -1/4, 1
Suppose 2*n = -0*g + 2*g - 1534, g - 771 = -3*n. Factor -23*d**3 - 513*d + g + 3*d**4 + 288*d**2 - 25*d**3 - 255*d.
3*(d - 4)**4
Suppose 4*y = -y - 3*g - 30, 4*g = 0. Let j = y - -6. Factor 0 - 7/4*r**4 + 1/2*r**2 - 5/4*r**3 + j*r.
-r**2*(r + 1)*(7*r - 2)/4
Factor -63*w - 10*w**2 + 63*w + 25*w**3.
5*w**2*(5*w - 2)
Let v(x) = 55*x**2 + 67*x + 25. Let k(a) = -9*a**2 - 11*a - 4. Let p(j) = -39*k(j) - 6*v(j). Factor p(y).
3*(y + 1)*(7*y + 2)
Let z(f) be the second derivative of f**6/150 + f**5/20 + 4*f + 6. Solve z(d) = 0 for d.
-5, 0
Suppose 5*f + 5 = -0. Let l(d) = -1 + 2 - 2*d**2 + 3*d**2 + d. Let j(h) = -6*h**2 - 6*h - 4. Let w(s) = f*j(s) - 4*l(s). Factor w(p).
2*p*(p + 1)
Suppose 38*o - 36*o = -4*b + 14, -4 = 2*o - 5*b. Find w such that -w**o - 8/3 - 14/3*w**2 - 20/3*w = 0.
-2, -2/3
Suppose -4*y = y - 10. Factor g**2 - 3*g**3 + 3*g**2 - 5*g**4 + 2*g**4 + y*g**2.
-3*g**2*(g - 1)*(g + 2)
Let z(m) be the first derivative of -m**6/135 + m**5/30 - m**4/27 + 6*m - 4. Let s(b) be the first derivative of z(b). Factor s(i).
-2*i**2*(i - 2)*(i - 1)/9
Suppose -v + 6*v + 2*x - 3 = 0, v - 3*x - 4 = 0. Let f be v - 2/(1 + 1). Let f + 1/3*b - 1/3*b**2 = 0. What is b?
0, 1
Factor -2/11*i**4 - 4/11 - 10/11*i**3 - 14/11*i - 18/11*i**2.
-2*(i + 1)**3*(i + 2)/11
Factor -4*l**5 + 3*l**4 - l**4 + 3*l**5 + l**3 + 2*l**5.
l**3*(l + 1)**2
Let r(j) be the third derivative of 0*j**5 + 0*j + 0*j**3 + j**2 - 1/1020*j**6 + 0*j**4 + 0. Factor r(o).
-2*o**3/17
Let n(p) be the second derivative of 3*p**5/100 + p**4/20 - 7*p. Factor n(d).
3*d**2*(d + 1)/5
Let m(j) = j**2 + 4*j + 4. Let t(q) be the third derivative of q**4/24 + q**3/6 + q**2. Let p(s) = -3*m(s) + 12*t(s). Factor p(n).
-3*n**2
Let g(y) be the first derivative of y**4/16 - y**3/2 + 3*y**2/2 - 2*y + 25. Find i, given that g(i) = 0.
2
Let a = -15 + 20. Factor -6 + a*z - 12*z**2 - 16*z - 4*z - 3*z**3.
-3*(z + 1)**2*(z + 2)
Let a = -82 + 86. Let x(f) be the third derivative of 0*f - 2*f**2 - 1/210*f**5 + 0 + 0*f**3 + 1/84*f**a. Factor x(u).
-2*u*(u - 1)/7
Let g(j) be the second derivative of j + 4/3*j**3 - 3/2*j**2 - 4/9*j**4 + 0. Factor g(n).
-(4*n - 3)**2/3
Solve -139/6*i**3 - 62/3*i + 31/6*i**4 + 67/2*i**2 + 14/3 + 1/2*i**5 = 0 for i.
-14, 2/3, 1
Let f(t) be the first derivative of -t**3/3 - 2*t**2 - 6*t + 5. Suppose d = 2*z + 7, 5*z + 34 = 14. Let o(l) = -1. Let u(r) = d*f(r) + 2*o(r). Factor u(a).
(a + 2)**2
Let p = -241 + 491/2. Factor p*t**2 + t + 0.
t*(9*t + 2)/2
Factor 2/9*u**2 + 4/9 + 2/3*u.
2*(u + 1)*(u + 2)/9
Solve -2/7 + 2/7*q**4 + 4/7*q - 4/7*q**3 + 0*q**2 = 0.
-1, 1
Let s = -16/11 - -102/55. Let v(u) be the first derivative of 1/20*u**4 + 0*u + 4/15*u**3 + s*u**2 + 3. Suppose v(c) = 0. Calculate c.
-2, 0
Let d be 0*(-4)/16*(-1)/2. Let p(m) be the second derivative of 0*m**2 + d + 0*m**4 + 1/3*m**3 - 1/10*m**5 + m. Let p(c) = 0. Calculate c.
-1, 0, 1
Let c(o) be the third derivative of o**11/27720 - o**10/6300 + o**9/4032 - o**8/6720 - o**5/15 - 5*o**2. Let n(w) be the third derivative of c(w). Factor n(v).
3*v**2*(v - 1)*(2*v - 1)**2
Let w(k) be the third derivative of k**6/600 - k**5/150 - k**4/30 + 4*k**3/15 - 4*k**2. Find p such that w(p) = 0.
-2, 2
Let k be (3 - (0 + (-6)/9)) + -2. Solve 4/3 + 4*g + k*g**2 = 0.
-2, -2/5
Find t such that 39*t**2 - 10*t**2 - 9*t**2 - 16*t**2 = 0.
0
Suppose 0 = 4*d - 6*d - 2. Let q be (-28)/(-12) + d/3. Determine a, given that 2*a**4 + 2*a**3 - q*a**5 + 3*a**5 - a**3 = 0.
-1, 0
Let k be (1 + -3)/(3/(-3)). Suppose 3*b = 3*v + 3, -4*v - k*b - 2*b + 12 = 0. Factor 12*c**3 - v + 5*c**2 - 3 - 10*c - 3*c**2.
2*(c - 1)*(2*c + 1)*(3*c + 2)
Let k(m) be the first derivative of -m**6/360 + m**5/120 + m**4/12 - m**3 + 3. Let c(l) be the third derivative of k(l). Suppose c(r) = 0. Calculate r.
-1, 2
Suppose -4*n + 17 + 3 = 0. Let m(j) be the first derivative of 1 - 3*j**3 - 2/5*j**n - 5/2*j**2 - 7/4*j**4 - j. Determine t, given that m(t) = 0.
-1, -1/2
Let c(x) be the second derivative of -5/6*x**3 + 5/24*x**6 - 7/16*x**4 + 1/4*x**5 - 1/2*x**2 + 4*x + 0. Factor c(p).
(p - 1)*(p + 1)*(5*p + 2)**2/4
Let l = -117 - -176. Let m = l - 411/7. Factor m*y**2 + 0 + 0*y.
2*y**2/7
Factor -6*a + 0*a + 6*a**2 - 2*a**4 + 2*a + 0*a**4.
-2*a*(a - 1)**2*(a + 2)
Suppose -4*u = -s, -u = -s + 2*s. Let -4 - 3*g**2 + g**3 - 13*g**2 + s*g**3 + 14*g + 5*g**3 = 0. Calculate g.
2/3, 1
Let v(u) be the second derivative of -7*u**6/180 - 19*u**5/120 - u**4/9 + u**3/9 - 8*u. Find y such that v(y) = 0.
-2, -1, 0, 2/7
Let z be ((-4)/(-60))/((-1)/(-3)). Factor -z*x**2 - 1/5 - 2/5*x.
-(x + 1)**2/5
Let j = -8/7 + 39/28. Factor -1/4*k**2 - 1/4*k + j + 1/4*k**3.
(k - 1)**2*(k + 1)/4
Let o(w) = 5*w + 11. Let y be o(8). Let g be (-20)/15*y/(-8). What is x in 0 - g*x**4 - 5/2*x**5 - 11/2*x**2 - x - 21/2*x**3 = 0?
-1, -2/5, 0
Suppose 6 = 5*g - 3*g. Suppose -3*z - g*k = 0, 0*k = z + 2*k + 2. Factor 0 - 2/3*b**z - 2/3*b + 2/3*b**3 + 2/3*b**4.
2*b*(b - 1)*(b + 1)**2/3
Suppose -4/9 + 2/9*s**3 - 2/9*s + 4/9*s**2 = 0. What is s?
-2, -1, 1
Let p(b) = 9*b**4 + 3*b**3 - 6. Let o(i) = i**4 - i**3 - i**2 - 1. Let d(c) = -6*o(c) + p(c). Determine j, given that d(j) = 0.
-2, -1, 0
Let c be 11/((-539)/(-14))*27. Let h be (-1 + 145)*1/14. Suppose c*d**2 + 2/7 + 18/7*d + 46/7*d**3 - h*d**5 - 48/7*d**4 = 0. Calculate d.
-1/2, -1/3, 1
Let g = 65/4 + -691/44. Determine k, given that g*k**4 - 4/11*k**2 + 8/11*k**3 - 8/11*k - 2/11 = 0.
-1, -1/3, 1
Let z = 57 + -54. Let k = 10 - 7. Factor 1 + f**z + 3*f + 9*f**2 + f + f**4 + 3*f**k - 3*f**2.
(f + 1)**4
Let o(k) = 57*k**2 + 735*k + 6111. Let d(m) = -7*m**2 - 92*m - 764. Let f(t) = 33*d(t) + 4*o(t). Factor f(i).
-3*(i + 16)**2
Let g = -11 - -13. Let a(o) be the second derivative of 0*o**2 + 1/12*o**4 + 0 - g*o - 1/20*o**5 + 0*o**3 - 1/30*o**6 + 1/42*o**7. What is r in a(r) = 0?
-1, 0, 1
Let g(h) be the first derivative of 1/2*h - 6 - 3/8*h**2 + 3/16*h**4 - 1/20*h**5 - 1/12*h**3. Suppose g(b) = 0. Calculate b.
-1, 1, 2
Factor 3*v**5 - 2*v - 4*v**3 + v**5 + 2*v.
4*v**3*(v - 1)*(v + 1)
Find g, given that 2*g**2 - 6/5*g - 4/5 = 0.
-2/5, 1
Let f(r) = 2*r. Let w be f(3). Let k(z) = z**2 - 6*z + 3. Let b be k(w). Determine t so that 9*t**2 - 2*t**3 + 7*t**b + 8*t - 2*t**3 - 2*t = 0.
-2, -1, 0
Let f(s) be the first derivative of -s**5/2 + 5*s**4/8 + 5*s**3/3 - 21. Factor f(l).
-5*l**2*(l - 2)*(l + 1)/2
Let g(w) be the third derivative of 7*w**6/80 - 3*w**5/10 + 3*w**4/16 + w**3/2 - 21*w**2. Suppose g(o) = 0. Calculate o.
-2/7, 1
Let n = 79/3 + -26. Let a(v) be the first derivative of -n*v**3 - 3 - 2*v**2 - 4*v. Let a(i) = 0. What is i?
-2
Let t(h) be the second derivative of h**7/1155 + h**6/330 + h**5/330 - 2*h**2 + 2*h. Let d(u) be the first derivative of t(u). Find g such that d(g) = 0.
-1, 0
Let v(k) be the third derivative of -k**9/1008 + k**8/140 - k**7/56 + k**6/60 - 2*k**3/3 - 6*k**2. Let q(t) be the first derivative of v(t). Factor q(y).
-3*y**2*(y - 2)*(y - 1)**2
Let g(k) be the second derivative of k**6/6 - 5*k**4/4 + 5*k**3/3 - 7*k. Factor g(t).
5*t*(t - 1)**2*(t + 2)
Let a(f) = 9*f**3 + 17*f**2 - 26*f. Let q(i) = -3*i**3 + 9*i - 6*i**2 - 5*i**3 + 5*i**3. Let t(l) = 6*a(l) + 17*q(l). Solve t(j) = 0.
-1, 0, 1
Factor -12 - 212*w**3 - 125*w**4 - 188*w**3 - 4 - 128*w - 360*w**2.
-(w + 2)*(5*w + 2)**3
Suppose 5*k - 20 = k. Suppose -k = -2*w + 3. Factor 1 - 2*r**2 + r**w - 4*r**3 + r + 0*r + 2*r**3 + r**5.
(r - 1)**2*(r + 1)**3
Let s(f) be the second derivative of 5*f + 5/21*f**3 - 1/70*f**5 + 1/105*f**6 + 0 - 2/7*f**2 - 1/14*f**4. Factor s(y).
2*(y - 1)**3*(y + 2)/7
Let n be -1 + (-2 + 1)*-3. Let o(a) be the first derivative of -2*a - 2/5*a**5 - n*a**4 - 4*a**3 - 1 - 4*a**2. Factor o(r).
-2*(r + 1)**4
Factor -14/17*x**2 + 2/17*x + 0 + 20/17*x**3.
2*x*(2*x - 1)*(5*x - 1)/17
Factor 0*f**2 + 0*f + 0 - 4/7*f**4 - 2/7*f**3 - 2/7*f**5.
-2*f**3*(f + 1)**2/7
Let w(l) be the third derivative of l**9/1512 - l**8/420 + l**6/90 - l**5/60 + l**3/2 + 3*l**2. Let n(p) be the first derivative of w(p). Factor n(o).
2*o*(o - 1)**3*(o + 1)
Let v(n) be the third derivative of -2*n**7/105 - n**6/15 - n**5/15 + n**2. Suppose v(b) = 0. What is b?
-1, 0
What is z in 0 - 1/7*z + 1/7*z**3 - 1/7*z**2 + 1/7*z**4 = 0?
-1, 0, 1
Let d = -4 +