*q - 4. Factor -11*i**4 + 7*i**q + 2*i**4 + 2*i**2.
-2*i**2*(i - 1)*(i + 1)
Let n = -5 + 9. Factor -2*d**4 + 2*d**3 + 5*d**4 + 2 - 2*d - 6*d**2 - 2*d**4 + 3*d**n.
2*(d - 1)*(d + 1)**2*(2*d - 1)
Let p = -5 + 8. Let d(n) be the second derivative of n + 1/54*n**4 + 0 + 0*n**2 + 0*n**p. Factor d(t).
2*t**2/9
Let z be (6/(-105) - 0)*-10. Let r be (-8)/(-28) - 2 - -2. Let z + r*x - 2/7*x**3 - 4/7*x**2 = 0. Calculate x.
-2, -1, 1
Let l(j) be the first derivative of 2/65*j**5 - 5/13*j**2 + 1/26*j**4 - 6 - 2/13*j**3 - 4/13*j. Solve l(r) = 0.
-1, 2
Let a = 385/2 + -189. Factor w**4 - a*w**3 - w + 7/2*w**2 + 0.
w*(w - 2)*(w - 1)*(2*w - 1)/2
Let v be (-4)/(-5)*(-25)/(-10). Solve -4/3*a + 2/3 + 2/3*a**v = 0 for a.
1
Let q(r) be the third derivative of r**11/166320 - r**10/75600 - r**9/15120 + r**5/10 + 5*r**2. Let z(k) be the third derivative of q(k). Factor z(b).
2*b**3*(b - 2)*(b + 1)
Let 2/3*i**2 + 0*i - 2/3 = 0. What is i?
-1, 1
Let o = -323 - -323. Factor 2/5*k**2 + 0*k + o + 1/5*k**4 + 3/5*k**3.
k**2*(k + 1)*(k + 2)/5
Let g(i) be the second derivative of i**4/54 - i**3/9 + 2*i**2/9 + 8*i. Factor g(b).
2*(b - 2)*(b - 1)/9
Let q(f) be the first derivative of -3*f**5/20 - 3*f**4/16 + 10. Factor q(k).
-3*k**3*(k + 1)/4
Suppose 0 = o + 50 - 52. Suppose -2*p**o - 3/2*p + 1/2 = 0. Calculate p.
-1, 1/4
Factor 4/11*p**3 + 2/11*p**2 - 14/11*p**4 + 0*p + 0 + 8/11*p**5.
2*p**2*(p - 1)**2*(4*p + 1)/11
Factor 6/11*r**3 + 0 - 2/11*r**5 + 0*r**4 + 0*r + 4/11*r**2.
-2*r**2*(r - 2)*(r + 1)**2/11
Let i(u) be the first derivative of -11*u**6/4 - 39*u**5/10 + 27*u**4/8 + 13*u**3/2 + 3*u**2/2 + 31. Find z, given that i(z) = 0.
-1, -2/11, 0, 1
Factor 3*i**2 - 3*i**3 - 3/2*i**4 - 3/2 + 3/2*i + 3/2*i**5.
3*(i - 1)**3*(i + 1)**2/2
Let s(q) be the second derivative of q**5/10 - q**4/12 - q**3/3 + q**2/2 + 4*q. Factor s(f).
(f - 1)*(f + 1)*(2*f - 1)
Suppose 3*u + 3*o = 6, -2*u + 2*o = 2*u - 32. Suppose u*s - 4*s**2 + 2*s**2 + 5*s**2 = 0. Calculate s.
-2, 0
Let y(c) be the third derivative of -5*c**2 + 2/195*c**6 - 11/195*c**5 - 1/1365*c**7 - 3/13*c**3 + 2/13*c**4 + 0 + 0*c. Factor y(g).
-2*(g - 3)**2*(g - 1)**2/13
Let p(r) = -3*r - 3. Let k be p(-1). Determine h, given that -2/9*h**3 - 2/9*h**5 - 4/9*h**4 + 0*h**2 + 0 + k*h = 0.
-1, 0
Let m(f) be the third derivative of -1/60*f**6 + 0 - f**2 + 0*f**3 + 1/6*f**4 + 0*f - 1/30*f**5. Factor m(t).
-2*t*(t - 1)*(t + 2)
Let -2/7*u**3 + 1/7*u**2 + 0 + 0*u + 1/7*u**4 = 0. What is u?
0, 1
Let h(d) = d**3 + 6*d**2 + 6*d - 7. Let u be h(-5). Let n be 3 - (u/27 - -3). Find i, given that -n + 2/3*i - 2/9*i**2 = 0.
1, 2
Let w(p) = -8*p**4 + 14*p**3 - 12*p**2 + 6*p + 10. Let x(q) = q**4 - q**3 + q**2 - q - 1. Let d(s) = w(s) + 10*x(s). Let d(l) = 0. Calculate l.
-2, -1, 0, 1
Let w(i) be the first derivative of -1/15*i**5 - 1/8*i**4 + 1/2*i**2 + 0*i - 2 + 1/6*i**3. Let c(y) be the second derivative of w(y). What is z in c(z) = 0?
-1, 1/4
Let u(w) be the second derivative of -7*w**4/6 - 5*w**3/3 + 2*w**2 - 6*w. Find d, given that u(d) = 0.
-1, 2/7
Suppose -3*b - 5 + 0 = -4*n, -b - n - 4 = 0. Let i = b - -3. Factor i + 2/5*x - 2/5*x**2.
-2*x*(x - 1)/5
Let g be 267/2*(-16)/(-60). Let s = 36 - g. Solve s*m**2 + 0*m - 2/5 = 0.
-1, 1
Let m(z) be the first derivative of -5*z**4/2 - 11*z**3/3 + 8*z**2 - 4*z + 20. Solve m(p) = 0.
-2, 2/5, 1/2
Let q = -6701 - -335073/50. Let d = q + 1/25. Factor -1/2*g**3 + d*g**2 + 0*g + 0.
-g**2*(g - 1)/2
Factor -8/21 + 2/7*r + 2/21*r**2.
2*(r - 1)*(r + 4)/21
Suppose -j + 10 = 4*t - 1, -2*j + 11 = -3*t. Solve 1 + 4 + j + 243*m**2 - 108*m = 0 for m.
2/9
Let j(y) = -y**2 + 7*y + 5. Let c(i) = -1 - 4 + 0 + 2 - 3*i. Let x(o) = 5*c(o) + 3*j(o). Factor x(s).
-3*s*(s - 2)
Let p(k) be the second derivative of -k**6/150 - 3*k**5/100 - k**4/20 - k**3/30 - 10*k. Factor p(f).
-f*(f + 1)**3/5
Factor 2/3*o**2 - 16/15*o - 2/15*o**3 + 8/15.
-2*(o - 2)**2*(o - 1)/15
Let z(m) be the second derivative of 0*m**2 + 1/24*m**4 + 1/20*m**6 + 3/40*m**5 + 0*m**3 + 0 + 1/84*m**7 - m. Determine r so that z(r) = 0.
-1, 0
Let t(i) = -4*i**4 + 5*i**3 + 3*i**2 - 3*i - 3. Let o(f) = 8*f**4 - 9*f**3 - 5*f**2 + 5*f + 5. Let q(n) = -6*o(n) - 10*t(n). Factor q(y).
-4*y**3*(2*y - 1)
Factor 14/15*f**2 - 6/5*f**3 + 2/3*f**4 - 4/15*f - 2/15*f**5 + 0.
-2*f*(f - 2)*(f - 1)**3/15
Let f(x) be the second derivative of -x**6/105 - x**5/35 + 2*x**3/21 + x**2/7 - 6*x. Determine i so that f(i) = 0.
-1, 1
Let j = -2 - -4. Suppose -d = j*d. Suppose -u**2 - 6*u + 3 + 4*u**2 + 0*u**2 + d = 0. Calculate u.
1
Let z(f) be the third derivative of 0 + 0*f - f**2 + 0*f**4 + 1/15*f**5 + 1/60*f**6 + 0*f**3. Determine o so that z(o) = 0.
-2, 0
Let r(b) be the second derivative of b**7/420 - b**6/60 + b**5/20 - b**4/12 + 3*b**3/2 - 8*b. Let g(f) be the second derivative of r(f). Solve g(p) = 0.
1
Let s be ((-2)/60)/((-12)/15). Let f(x) be the third derivative of 1/120*x**6 + 0 + 1/16*x**4 + 0*x + 3/80*x**5 + 3*x**2 + s*x**3. Solve f(o) = 0 for o.
-1, -1/4
Let j be (616/(-42))/(1/((-6)/4)). Let g(z) be the first derivative of 100/3*z**6 + j*z**5 + 0*z + 0*z**2 - 2*z**4 + 3 - 8/3*z**3. Factor g(n).
2*n**2*(4*n - 1)*(5*n + 2)**2
Suppose -72 = 16*z - 34*z. Factor 0 + 16/3*b**z + 8/3*b**3 + 1/3*b**2 + 0*b.
b**2*(4*b + 1)**2/3
Let z(v) = -v**2 + v + 1. Let d(g) = g**3 + 9*g**2 + 9*g + 6. Let a be d(-8). Let p(r) = 2*r - 2. Let h(k) = a*z(k) - p(k). Find l such that h(l) = 0.
0, 2
Let t(l) be the second derivative of 0 - 5*l + 1/2*l**3 - 1/8*l**4 - 3/4*l**2. Factor t(j).
-3*(j - 1)**2/2
Let w(c) be the first derivative of c**6/540 - c**5/45 + c**4/9 + c**3/3 - 4. Let x(f) be the third derivative of w(f). Factor x(g).
2*(g - 2)**2/3
Let k(d) = -32*d - 28. Let l(v) = -v**3 - v - 1. Let p(w) = -k(w) + 4*l(w). Suppose p(a) = 0. Calculate a.
-2, -1, 3
Factor 0 - 3/8*p**4 + 3/8*p**3 + 0*p + 3/4*p**2.
-3*p**2*(p - 2)*(p + 1)/8
Solve -7*j**3 + 0*j**2 + 9*j**3 + 2*j**2 = 0.
-1, 0
Let m = -20 - -12. Let b = 11 + m. Find s, given that -6/7*s**2 - 6/7*s**b - 2/7*s**4 - 2/7*s + 0 = 0.
-1, 0
Suppose 4*z + 1 = -3. Let o be -8*z/2 - 1. Factor 2*t**o + 2*t + 4*t**2 - 8*t**2 + 0*t**3.
2*t*(t - 1)**2
Let n(f) be the first derivative of -2/9*f**3 + 0*f - 6 + 1/3*f**2. What is d in n(d) = 0?
0, 1
Let m(u) = u. Let q(r) = -4*r**2 + 8. Let c(b) = -4*m(b) + q(b). Factor c(p).
-4*(p - 1)*(p + 2)
Let t(f) be the third derivative of -1/336*f**8 + 1/120*f**6 + 0*f**4 + 0*f - 1/210*f**7 - 4*f**2 + 1/60*f**5 + 0 + 0*f**3. Factor t(b).
-b**2*(b - 1)*(b + 1)**2
Factor h**2 + 15*h**4 - 6*h**2 + 15*h**2 - 35*h**3.
5*h**2*(h - 2)*(3*h - 1)
Let o = -5 + 8. Suppose 4*h = -o*y - 0*y + 26, -3*h = 3*y - 21. Factor -2/7 - 4/7*k - 2/7*k**y.
-2*(k + 1)**2/7
Let n be 4/(-12) + (-2962)/(-30). Let d = n + -98. Suppose 0*y**2 + 0*y**4 + 0*y - 2/5*y**5 + 0 + d*y**3 = 0. Calculate y.
-1, 0, 1
Let s(f) be the first derivative of -f**5/15 + f**4/6 - f**2/3 + f/3 + 5. Factor s(b).
-(b - 1)**3*(b + 1)/3
Factor -10/13*a - 12/13 + 2/13*a**3 + 4/13*a**2.
2*(a - 2)*(a + 1)*(a + 3)/13
Let m(x) = 9*x - 11*x - 4*x**3 + 4 + 1 - 1 - 6*x**2. Let s(o) = 4*o**3 + 7*o**2 + 3*o - 5. Let d(b) = 5*m(b) + 4*s(b). Factor d(u).
-2*u*(u + 1)*(2*u - 1)
Let h(x) = -7*x + 95. Let f be h(13). Let 6/11*l**3 - 6/11*l**5 + 4/11*l**f + 0*l - 4/11*l**2 + 0 = 0. Calculate l.
-1, 0, 2/3, 1
Let p be 1/((-88)/(-27)) - 130/715. Let t(r) be the third derivative of 0 - 4*r**2 + 0*r - 1/20*r**5 - p*r**4 + 0*r**3. Suppose t(y) = 0. What is y?
-1, 0
Let j = -57 + 57. Factor 0*t + j - 2/7*t**2 - 2/7*t**3 + 2/7*t**5 + 2/7*t**4.
2*t**2*(t - 1)*(t + 1)**2/7
Let o be -5*(1 - 7/5). Find g, given that 0*g**2 + g**4 - o*g + 3*g + g**5 - 4*g**3 + 1 - 2*g**2 + 2*g**3 = 0.
-1, 1
Suppose -q - 2 + 12 = 0. Let c(o) = o**2. Let l(g) = 2*g**3 - 10*g**2. Let f(n) = q*c(n) + l(n). Find j, given that f(j) = 0.
0
Suppose 0 = -d + 1, 5*j = 7*d - 2*d + 25. Suppose -14 = -3*o - s, -o = -4*s - s + j. Factor -3/2*k - 7*k**2 + 7/2*k**5 - 2*k**3 + 6*k**o + 1.
(k - 1)*(k + 1)**3*(7*k - 2)/2
Let d = -47 + 50. Let t(w) be the second derivative of -1/40*w**5 + 0*w**d + 0 - 2*w - 1/12*w**4 + 0*w**2. Factor t(n).
-n**2*(n + 2)/2
Let n be 2/(-2) - (-5)/5. Suppose -3*x - 35 = -4*u - n*x, 0 = -3*u - 4*x - 5. Suppose -1/4 + 5/4*t + 1/4*t**u + 5/2*t**3 - 5/4*t**4 - 5/2*t**2 = 0. What is t?
1
Let c(s) be the thi