 of h(s). Factor b(o).
-(o - 1)**2*(o + 1)/5
Let s(b) be the second derivative of b**6/120 + b**5/20 + b**4/8 + b**3/6 + b**2/8 + 17*b. Find q such that s(q) = 0.
-1
Suppose 2*y + 5*o - 15 = 4*y, 3*y + o - 3 = 0. Factor 2/5*s**2 - 2/5*s**4 + 0*s + y*s**3 + 0.
-2*s**2*(s - 1)*(s + 1)/5
Let x be 7/(-105) - (-2)/5. Factor -g**4 + g**3 - 1/3*g**2 + x*g**5 + 0*g + 0.
g**2*(g - 1)**3/3
Factor 0*q - 1/3*q**5 + 0*q**2 + 0*q**3 + 0*q**4 + 0.
-q**5/3
Let f(d) be the third derivative of d**5/360 - d**4/18 + 4*d**3/9 - 2*d**2. Factor f(k).
(k - 4)**2/6
Let b(v) be the third derivative of -v**7/840 + v**6/96 - 13*v**2. Factor b(r).
-r**3*(r - 5)/4
Let x(f) be the first derivative of 2*f**3/3 + 6*f**2 + 18*f - 1. Factor x(g).
2*(g + 3)**2
Let o(z) be the second derivative of 1/6*z**4 - z**2 + 1/2*z**3 + 0 - 3/20*z**5 + 6*z. What is q in o(q) = 0?
-1, 2/3, 1
Let 135*d**2 + 129*d**3 + 35*d**4 - 21 + d**3 + 20*d + 1 = 0. What is d?
-2, -1, 2/7
Suppose 0 = 3*t + 2*t - z + 4, -2*t = -4*z + 16. Let i(g) be the second derivative of t - 1/24*g**4 + 1/4*g**3 - 2*g - 1/2*g**2. Find x such that i(x) = 0.
1, 2
Find z, given that 0*z**2 - 1/5*z + 1/5*z**3 + 0 = 0.
-1, 0, 1
Solve 4/9*g**5 + 0 - 2/3*g**4 + 0*g + 0*g**3 + 0*g**2 = 0 for g.
0, 3/2
Let a(q) be the first derivative of q**7/28 - 3*q**5/20 + q**3/4 - 4*q - 2. Let p(z) be the first derivative of a(z). What is d in p(d) = 0?
-1, 0, 1
Find u, given that -2/7*u + 0 + 90/7*u**4 - 74/7*u**3 - 36/7*u**5 + 22/7*u**2 = 0.
0, 1/6, 1/3, 1
Factor -7*o + 2*o**2 - 2*o + 72 - 15*o.
2*(o - 6)**2
Let j(y) = -5*y**4 + 7*y**2 + 4 + 14*y**4 + 3. Let s(q) = -6*q**4 - 5*q**2 - 5. Let t(o) = -5*j(o) - 7*s(o). Factor t(c).
-3*c**4
Let s(g) be the third derivative of 0*g + 0 + 1/240*g**5 - 1/32*g**4 - g**2 + 1/12*g**3. Factor s(y).
(y - 2)*(y - 1)/4
Factor -1/7*m**2 - 529/7 - 46/7*m.
-(m + 23)**2/7
Suppose -3*d - 80 = -4*j, -3*j + 3*d = 13 - 76. Suppose 4*c = 5*u - 22, 4*c = u - c - j. Find v, given that 7/3*v + 5/3*v**3 + 3*v**u + 2/3 + 1/3*v**4 = 0.
-2, -1
Factor 2*o**2 - 3*o - 5*o + 17*o - 5*o.
2*o*(o + 2)
Let a be 19/7 - 2/(-7). Suppose 8 = -c - 4*q, -17 - 8 = -4*c + a*q. Determine k so that 6*k**2 - 10*k**4 + 10*k**5 - c + 8*k**3 - 18*k + 34*k**4 - 26*k**2 = 0.
-1, -2/5, 1
Let k(w) be the third derivative of -w**7/420 + w**6/120 - w**5/120 - w**2. Find s such that k(s) = 0.
0, 1
Suppose -3*b - 9*n = -4*n + 14, -5*n - 12 = 4*b. Suppose 5*p - y = 22, 1 = 3*p - 2*y - 8. Solve -98/9*t**p - 8/9*t + 2/3*t**3 + 0 - 40/9*t**b + 140/9*t**4 = 0.
-2/7, 0, 1
Suppose 2*r = 36 + 10. Factor -32*d**2 + 43*d**3 + 4*d + 34*d**3 - 31*d**4 + 5*d**4 - r*d**4.
-d*(d - 1)*(7*d - 2)**2
Let t(l) be the third derivative of l**5/10 + 35*l**4/12 + 22*l**3/3 + 48*l**2. Factor t(o).
2*(o + 11)*(3*o + 2)
Let h(s) be the second derivative of 2*s**2 - 8*s + 0 - 1/10*s**5 + 1/3*s**3 - 1/2*s**4 + 1/15*s**6. Factor h(a).
2*(a - 2)*(a - 1)*(a + 1)**2
Let t = -29 - -34. Suppose t*f + 4*g = f - 8, 0 = -f - 4*g - 14. What is i in -3/5*i + 0 - 3/5*i**f = 0?
-1, 0
Let b(v) be the second derivative of 0 + 8/3*v**3 - 3*v + 23/5*v**5 + 7/10*v**6 + 28/3*v**4 - 8*v**2. Let b(w) = 0. What is w?
-2, -2/3, 2/7
Let o be 33/21 - -1 - 9/(-21). Find k such that 1/2*k**o - 1/2 + 1/2*k**2 - 1/2*k = 0.
-1, 1
Let v(t) = 1. Suppose 4*u = 5*k - 6, -k + 0 = 5*u - 7. Let o(x) = -3*x**2 + 18*x - 26. Let z(d) = u*o(d) - v(d). Factor z(r).
-3*(r - 3)**2
Let t = 35 + 9. Let s be (4 - t/6) + 4. Factor -2*z - 2/3 - s*z**3 - 2*z**2.
-2*(z + 1)**3/3
Factor 0 - 1/3*z**4 - 1/3*z**3 + 0*z + 0*z**2.
-z**3*(z + 1)/3
Let m(o) = -3*o**2 + 2*o + 5. Let t(x) = 4*x**2 - 2*x - 6. Let y(q) = 4*q - 4. Let z be y(4). Let p = -7 + z. Let d(f) = p*m(f) + 4*t(f). Factor d(k).
(k + 1)**2
Let f = -3 - -8. Factor 4*a**f - 5*a**5 - a**5 + 0*a**4 - 4*a**4.
-2*a**4*(a + 2)
Let f(w) be the second derivative of -w**5/170 - w**4/102 + w**3/51 + w**2/17 + 27*w - 2. Factor f(l).
-2*(l - 1)*(l + 1)**2/17
Let o(r) be the third derivative of -1/36*r**4 + 0*r**3 - 1/315*r**7 + 1/180*r**6 + 0*r - 2*r**2 + 0 + 1/90*r**5. Factor o(p).
-2*p*(p - 1)**2*(p + 1)/3
Let b(c) be the first derivative of -1 - 1/2*c**6 + 0*c**2 + 0*c**3 + 0*c**4 + 0*c - 3/5*c**5. Find h such that b(h) = 0.
-1, 0
Factor 16*l - 32/3 - 2/3*l**4 - 4*l**3 - 2/3*l**2.
-2*(l - 1)**2*(l + 4)**2/3
Find l such that 1/2*l**3 + 1/3 + 13/6*l - 3/2*l**4 + 23/6*l**2 = 0.
-1, -1/3, 2
Let i(w) = -3*w**2 + 2*w + 4*w**3 + 2*w + 6 - w**4 - 4*w**4 - 16*w**3. Let d(n) = -5*n**4 - 12*n**3 - 2*n**2 + 5*n + 7. Let l(r) = 6*d(r) - 7*i(r). Factor l(j).
j*(j + 1)**2*(5*j + 2)
Let h(f) = f**2 - f - 2. Let z be 15/4 + 1/4. Let d(b) = b - 11. Let g be d(14). Let q(s) = -s**2 + 2*s + 3. Let v(n) = g*q(n) + z*h(n). Factor v(o).
(o + 1)**2
Let t = 1175875/11444 - 1/2861. Let a = 104 - t. Factor 0 + 21/4*q**3 - 11/4*q**2 - 17/4*q**4 + 1/2*q + a*q**5.
q*(q - 1)**3*(5*q - 2)/4
Let v = 47 + -47. Let b(l) be the second derivative of 0*l**2 + 1/15*l**6 - 1/6*l**4 + 1/10*l**5 - 1/3*l**3 + v + 3*l. Determine h so that b(h) = 0.
-1, 0, 1
Let m(a) = a**5 + a**2 + 1. Let k(y) = -4*y**5 - y**4 - 5*y**2 - 5. Let o(j) = -2*k(j) - 10*m(j). Solve o(g) = 0.
0, 1
Let l(w) be the first derivative of -1/4*w**2 + 0*w + 0*w**3 + 1/8*w**4 - 3. Factor l(j).
j*(j - 1)*(j + 1)/2
Suppose 3 + 1 = 2*g. Suppose -4*z = -2*f - g, -3*f + 19 = 2*z + 3*z. Find k such that 4 - 4*k + 10*k - 2 - 2*k**4 - 2*k**z - 6*k**3 + 2 = 0.
-2, -1, 1
Let n(w) be the second derivative of 0*w**2 - 9/10*w**5 + 0 - 1/14*w**7 + 2/5*w**6 - 1/2*w**3 + w + w**4. What is p in n(p) = 0?
0, 1
Let z(x) be the first derivative of x**8/1176 - x**7/735 - x**6/420 + x**5/210 + x**2 - 7. Let b(m) be the second derivative of z(m). Factor b(p).
2*p**2*(p - 1)**2*(p + 1)/7
Let i = 10 - 7. Let h be ((-5)/7)/((-44)/77). Suppose -1/2*f**i + h*f**2 - f + 1/4 = 0. Calculate f.
1/2, 1
Let z(q) = q**2 - 3*q - 65. Let w be z(-7). Suppose 4/9*c**2 - 2/3*c**4 + 2/9 - 4/9*c**3 + 2/3*c - 2/9*c**w = 0. Calculate c.
-1, 1
Let t = -6 + 11. Solve t*f**2 - f - 4*f**2 + 2*f = 0 for f.
-1, 0
Let z(o) be the third derivative of o**6/30 - o**5/10 + o**4/12 + 4*o**2. Factor z(b).
2*b*(b - 1)*(2*b - 1)
Let d(v) be the third derivative of 0 - 3/140*v**6 + 9/14*v**3 + 3/28*v**4 - 2/35*v**5 - 1/490*v**7 + 0*v + 3*v**2. Let d(k) = 0. What is k?
-3, -1, 1
Let h(n) be the first derivative of 3*n**4/16 - 3*n**3/2 + 9*n**2/2 - 6*n - 65. Factor h(o).
3*(o - 2)**3/4
Let 13*c - 13*c + 2*c**3 = 0. What is c?
0
Let n(c) be the third derivative of 0*c**3 + 1/60*c**6 + 4*c**2 + 0 + 1/280*c**7 + 0*c - 1/48*c**4 + 1/80*c**5. Solve n(v) = 0 for v.
-2, -1, 0, 1/3
Determine f, given that -3*f**3 + 32*f**2 - 16*f + 0*f**4 - f**4 + 5*f**4 - 17*f**3 = 0.
0, 1, 2
Let v = 5 - 3. Suppose 8 = 4*b - h, -16 = -2*h - 2*h. Suppose 4/11*m**4 + 4/11*m**b + 4/11 - 2/11*m**5 - 2/11*m - 8/11*m**v = 0. What is m?
-1, 1, 2
Let v(g) be the third derivative of -2/9*g**3 + 1/90*g**5 + g**2 + 0*g + 1/36*g**4 + 0. Factor v(y).
2*(y - 1)*(y + 2)/3
Factor 12/5*s**3 + 0 + 4/5*s + 12/5*s**2 + 4/5*s**4.
4*s*(s + 1)**3/5
Let g be (-3)/(-20)*-1*(-375)/225. Suppose i**3 + g*i**2 - i - 1/4 = 0. What is i?
-1, -1/4, 1
Factor -f**2 + 3*f - 10*f**2 + 12*f**3 - 7*f**2 + 3*f**2.
3*f*(f - 1)*(4*f - 1)
Let w = 9 + -6. Suppose 3 + 3 = 3*d - a, -5*a = -w*d + 6. Factor -2/3*x**3 + 2/3 - 2/3*x**d + 2/3*x.
-2*(x - 1)*(x + 1)**2/3
Let u(h) = -h**2 + 6*h + 2. Let n be u(4). Factor -4*s - s**2 - 2*s**2 - 4 - 3*s**2 - n*s.
-2*(s + 2)*(3*s + 1)
Let q = 81/5 + -16. Let -q*c**2 - 1/5 - 2/5*c = 0. Calculate c.
-1
Let u(q) be the first derivative of q**3/3 - q + 4. What is c in u(c) = 0?
-1, 1
Let j(a) = 4*a**4 + a**3 - 3. Let w(u) = -u**4 + 1. Let n(q) = -j(q) - 3*w(q). Let n(s) = 0. What is s?
-1, 0
Factor 4*c**3 + 2*c + c + c**4 - 3*c**3 - 4*c - c**2.
c*(c - 1)*(c + 1)**2
Let r(x) be the third derivative of -x**5/480 + x**4/64 - x**3/24 + 5*x**2. Factor r(u).
-(u - 2)*(u - 1)/8
Let o = -271/28 + 41/4. Solve 0 + 4/7*f + o*f**2 = 0 for f.
-1, 0
Suppose 2*b = l - 0*b - 15, 5*l + 5*b = 0. Suppose 4 = 7*j - l*j. Factor -3*r**3 + 4*r**j + r**4 - 2*r**2 + 5*r**4 + 11*r**3.
2*r**2*(r + 1)*(3*r + 1)
Let h(d) = d**2 - 7*d + 3. Let w be h(7). Solve -l + w*l - 2*l**2 - 6 + 4*l**2 + 2 = 0 for l.
-2, 1
Let a(z) be the third derivative of 2*z**7/21 - 2*z**6/5 - 1