-2/7*u**5 + 6/7*u - 4/7*u**3 + 6/7*u**4 - t*u**2 - 2/7.
-2*(u - 1)**4*(u + 1)/7
Let h(g) be the second derivative of -2*g**6/15 - 3*g**5/5 - g**4/3 + 2*g**3 + 4*g**2 + 42*g. Factor h(a).
-4*(a - 1)*(a + 1)**2*(a + 2)
Let f(i) = i + 11. Let h be f(-7). Let d(l) be the first derivative of 2 + 8/5*l**5 - 2*l**2 - 13/2*l**h + 22/3*l**3 + 0*l. Factor d(o).
2*o*(o - 2)*(o - 1)*(4*o - 1)
Let h(v) be the second derivative of -v**7/12600 + v**5/600 + v**4/2 - 10*v. Let k(b) be the third derivative of h(b). Factor k(s).
-(s - 1)*(s + 1)/5
Let r be (16/12)/(1/3). Let a(u) be the first derivative of 2/35*u**5 + 0*u**3 - 2/7*u + 1/7*u**r + 1 - 2/7*u**2. What is y in a(y) = 0?
-1, 1
Let z(b) = 5*b**2 - 19*b + 29. Let n(h) = -9*h**2 + 37*h - 59. Let x(m) = -6*n(m) - 10*z(m). Factor x(t).
4*(t - 4)**2
Let d(n) be the first derivative of 0*n**3 + 2 + 0*n**5 + 1/12*n**6 + 0*n**2 + 0*n - 1/8*n**4. Factor d(h).
h**3*(h - 1)*(h + 1)/2
Let a be (0 + (-4)/8)*0. Suppose a = -7*u + 3*u. Factor 0 + u*q + 0*q**2 + 2/3*q**4 + 0*q**3.
2*q**4/3
Suppose -4*u + 12 = 4. Let b be 0/3 - (-1 - 1). Solve 2*y**2 + 0*y**b - 1 - y**u + 0*y**2 = 0 for y.
-1, 1
Let y(q) be the first derivative of q**3/2 - 3*q/2 + 29. Let y(k) = 0. Calculate k.
-1, 1
Let b(h) = -5*h - 1. Let a be b(-1). Factor 4*v + 43*v**3 + 6*v**2 - 2*v**a - 43*v**3.
-2*v*(v - 2)*(v + 1)**2
Let a(n) = 7*n**3 - 8*n + n - 2*n**2 - 2 - n**2. Let x(c) = 4*c**3 - 2*c**2 - 4*c - 1. Let b(v) = 6*a(v) - 10*x(v). Factor b(o).
2*(o - 1)*(o + 1)**2
Find l such that 153*l + 48*l + 48*l**2 + 4*l**3 + 256 - 9*l = 0.
-4
Factor -9*v + 4*v**2 + v - 3 + 3.
4*v*(v - 2)
Factor 4/3*d**3 - 2/3*d**2 + 1/3*d**4 - 4*d + 3.
(d - 1)**2*(d + 3)**2/3
Let p be (9/(81/(-6)))/((-2)/9). Solve 1/4*n + 1/4*n**p - 1/2*n**2 + 0 = 0.
0, 1
Let f(o) be the first derivative of 2*o**6/15 - 32*o**5/25 + 22*o**4/5 - 32*o**3/5 + 18*o**2/5 - 5. Find n such that f(n) = 0.
0, 1, 3
Let z(k) = 2*k**3 + 4*k**2 - 2*k. Let i(p) = -p**3 - p**2 + p. Let b be (-77)/63 - (-4)/18. Let j(o) = b*z(o) - 4*i(o). Factor j(q).
2*q*(q - 1)*(q + 1)
Let r(l) be the third derivative of -l**6/114 + 11*l**5/570 + 4*l**4/57 + 4*l**3/57 - 4*l**2. Let r(q) = 0. What is q?
-1/2, -2/5, 2
Let q be (-2)/11 - 216/(-99). Determine n so that q*n**2 + 0*n + 3*n + 2 + 3*n + 2 = 0.
-2, -1
Let q(v) be the third derivative of -v**7/560 + v**6/120 - v**5/80 - v**3/3 - 9*v**2. Let p(o) be the first derivative of q(o). Factor p(s).
-3*s*(s - 1)**2/2
Factor -t**3 - 15*t**4 - 126*t**2 + 5*t**5 + 121*t**2 + 16*t**3.
5*t**2*(t - 1)**3
Let x(z) = z**4 - z**3 - z + 1. Let i(y) = 15*y**4 - 9*y**3 - 8*y**2 - 2*y + 6. Let k(d) = i(d) - 6*x(d). Factor k(l).
l*(l + 1)*(3*l - 2)**2
Let c be ((-6)/54)/((-1)/3). Let t be (-5)/15 - (-2)/3. Determine w so that 1/3*w**4 + 0 - c*w**2 + t*w**3 - 1/3*w = 0.
-1, 0, 1
Find s such that -3/5*s**3 - 9/5*s**2 + 12/5 + 0*s = 0.
-2, 1
Let p = 643/5 - 419/5. Solve 64/5 + 196/5*t**2 + p*t = 0 for t.
-4/7
Let i(c) = c**3 - 8*c**2 + 5*c + 9. Let z be i(7). Let q = z - -7. Factor 0*y**3 + 7*y**q - 9*y**2 + y + y**3.
y*(y - 1)**2
Let k(w) be the third derivative of -w**7/2100 - w**6/900 + w**3/3 - w**2. Let y(j) be the first derivative of k(j). Factor y(t).
-2*t**2*(t + 1)/5
Let k(b) be the second derivative of b**4/18 + 5*b**3/9 - 2*b**2 - 8*b. Find g such that k(g) = 0.
-6, 1
Let a(y) = y**2 - 12*y - 26. Let w be a(14). Let m(h) be the second derivative of w*h + 0*h**2 - 1/12*h**4 + 0 - 1/6*h**3. Suppose m(t) = 0. What is t?
-1, 0
Let j be 82/88 - 3/12. Let l = -1/66 + j. Solve -8/3*g**2 - 7/3*g - g**3 - l = 0.
-1, -2/3
Solve -7/3*f**5 - 7/3*f + 2/3*f**4 - 4/3*f**2 + 2/3 + 14/3*f**3 = 0.
-1, 2/7, 1
Let n be ((-1)/(-3) - -1)*-3. Let o(c) = -2*c**2 + 8*c - 8. Let f(r) = -r**2 + 4*r - 4. Let k(s) = n*o(s) + 7*f(s). Let k(p) = 0. What is p?
2
Let c(b) be the second derivative of -b**4/20 - b**3/5 + 9*b**2/10 + 30*b. Factor c(h).
-3*(h - 1)*(h + 3)/5
Let b be 7/28 - (-295)/(-4). Let i = b - -75. Factor 0 - 9/2*l**5 + 0*l + 15/2*l**4 - i*l**3 - 3/2*l**2.
-3*l**2*(l - 1)**2*(3*l + 1)/2
Let u = -248 + 251. Factor 0 - 2/7*k**u + 0*k - 2/7*k**2.
-2*k**2*(k + 1)/7
Suppose -25 - 2 = -9*h. What is t in 1/2 + 1/4*t**h - 1/4*t - 1/2*t**2 = 0?
-1, 1, 2
Let o(b) = 13*b**4 - 5*b**3 - 6*b**2 - 5*b + 8. Let i(u) = -15*u**4 + 6*u**3 + 6*u**2 + 6*u - 9. Let g(k) = -5*i(k) - 6*o(k). Solve g(x) = 0.
-1, 1
Let u(x) be the second derivative of x**4/48 + x**3/8 + x**2/4 + 8*x. Solve u(t) = 0.
-2, -1
Let a(d) be the first derivative of 0*d - 4/3*d**3 - 4*d**2 + d**4 + 2. Find z, given that a(z) = 0.
-1, 0, 2
Let s(x) be the second derivative of -1/270*x**5 + x**2 - 1/108*x**4 + 2*x + 0*x**3 + 0. Let p(t) be the first derivative of s(t). Suppose p(k) = 0. What is k?
-1, 0
Let r(b) = -6*b**2 + 9. Let y(q) = -12*q**2 + 9*q + 16. Let j(c) = 3*c**2 - 2*c - 4. Let x(u) = -9*j(u) - 2*y(u). Let g(o) = -4*r(o) + 9*x(o). Factor g(s).
-3*s**2
Suppose 5*m = -0*m - 4*d, 5*m + d = 15. Let l be (-4)/(-2)*6/m. Solve 0*h + 0*h**2 + 0 + 1/4*h**l = 0 for h.
0
Determine i so that 6/13*i + 2/13*i**2 + 4/13 = 0.
-2, -1
Let x(r) be the first derivative of -18*r**6 + 36*r**5/5 + 69*r**4/4 - 4*r**3 - 6*r**2 - 20. Factor x(j).
-3*j*(2*j + 1)**2*(3*j - 2)**2
Suppose 4*p + 5 - 29 = 0. What is r in -p*r**2 - 15*r + 12*r**4 - r**3 + 10*r**3 + 3*r**5 - 6 + 3*r**3 = 0?
-2, -1, 1
Let c(y) be the first derivative of -y - 13/12*y**3 - 3 - 2*y**2 - 3/16*y**4. What is r in c(r) = 0?
-2, -1/3
Let q be ((-5)/(-2))/(2/4). Suppose 0 = 2*n - q - 1. Factor -8/11 - 2/11*b**4 + 6/11*b**2 - 8/11*b + 4/11*b**n.
-2*(b - 2)**2*(b + 1)**2/11
Suppose 2*l + 5*f = 4, -3*f = -3*l + f + 6. Suppose -q + l = -0. Solve -z**3 + 2*z**4 + q*z**3 - z**4 = 0.
-1, 0
Let y(i) = i + 12. Let m be y(-9). Let d(g) be the second derivative of 0 - 1/15*g**5 + 1/45*g**6 + 1/18*g**4 + 0*g**m + 0*g**2 - g. Factor d(j).
2*j**2*(j - 1)**2/3
Let k(b) be the first derivative of -1/7*b**2 + 2 + 1/14*b**4 - 2/35*b**5 + 2/21*b**3 + 0*b. Determine s so that k(s) = 0.
-1, 0, 1
Let b be 4/(-12) - 142/(-30). Let x = -178/45 + b. Suppose -2/3*o - 2/9*o**2 - x = 0. What is o?
-2, -1
Factor 3*x**4 + 11*x**3 + 12*x**3 + 12*x - 32*x**3.
3*x*(x - 2)**2*(x + 1)
Let h(t) be the first derivative of 3*t**5/10 - 9*t**4/4 + 6*t**3 - 15*t**2/2 + 9*t/2 - 11. Find y such that h(y) = 0.
1, 3
Suppose k + 3*k - 32 = 0. Let g = k - 4. Solve 0*o - 2*o + 2*o**3 + 0*o + 2*o**g - 2*o**2 = 0 for o.
-1, 0, 1
Determine k, given that 24/5*k**2 - 48/5*k**3 + 0 - 3/5*k = 0.
0, 1/4
Let m be 7 + (-351)/36 - (-5 - -2). Factor 0 - 1/4*h - m*h**2.
-h*(h + 1)/4
Suppose 6 = 3*c - 0*c. Let p(f) = f**3 + 8*f**2 + 4*f + 3. Let s be p(-7). Find d such that 2*d**3 - 4 + 4*d + c*d + 6*d**3 - 14*d**5 - s*d**4 + 28*d**2 = 0.
-1, 2/7, 1
Let q(d) be the first derivative of 6*d**5/5 + 4*d**4 + 2*d**3 - 2*d**2 + 42. Factor q(b).
2*b*(b + 1)*(b + 2)*(3*b - 1)
Let f be 3/1 + (4 - 3) + -1. Let i(m) be the second derivative of 0 + 0*m**2 - 1/16*m**4 + 3/80*m**5 - 1/120*m**6 - m + 1/24*m**f. Factor i(w).
-w*(w - 1)**3/4
Let s(x) = -1. Let b be ((-2)/6)/((-17)/(-51)). Let c(y) = y**2 + 2. Let w(j) = b*c(j) - 3*s(j). Factor w(g).
-(g - 1)*(g + 1)
Suppose -4 = 2*y, -5*w + 4*y = -0*w - 18. Find q such that -5*q + 5*q - w*q**2 = 0.
0
Let t(u) = -3*u - 1. Let a be t(2). Let g be 11/(-33) + a/(-3). Factor -2/3 + 0*s**g + 2/3*s**4 - 4/3*s**3 + 4/3*s.
2*(s - 1)**3*(s + 1)/3
Let f(w) be the third derivative of -w**8/504 + 4*w**7/315 - w**6/30 + 2*w**5/45 - w**4/36 - w**2. Factor f(o).
-2*o*(o - 1)**4/3
Let k(g) be the third derivative of -2*g**2 + 0*g - 1/4*g**4 + 2/3*g**3 + 1/60*g**6 + 0*g**5 + 0. Factor k(u).
2*(u - 1)**2*(u + 2)
Determine w so that 28*w - 294 - 2/3*w**2 = 0.
21
Let s be (-2)/(-2) + 12/(-15). Determine k so that 0 + 2/5*k**3 + 0*k + 0*k**2 - 1/5*k**4 - s*k**5 = 0.
-2, 0, 1
Let t(i) be the first derivative of -2*i**5/35 - i**4/14 + 2*i**3/21 + i**2/7 - 2. Factor t(p).
-2*p*(p - 1)*(p + 1)**2/7
Suppose 0 = -s + 12*s - 0*s. Determine c, given that 2/11*c - 4/11*c**2 + 4/11*c**4 - 2/11*c**5 + 0 + s*c**3 = 0.
-1, 0, 1
Suppose -2*s = 2*s - 12. Suppose 2*w - 180 = -s*w. Solve -54*d**2 - 8*d**3 + w*d - 3 + 35*d**3 - 5 = 0 for d.
2/3
Let l(p) be the first derivative of -9/8*p**4 - 3/8*p**2 + 0*p + 3 + 3/5*p**5 + p**3 - 1/8*p**6. Factor l(x).
