**2 - n*o**4 - 3*o. Solve b(x) = 0.
0, 1/3
Let m = -4 + 10. Suppose -5*d = -m - 4. Factor 1 - 1 - q**d - q.
-q*(q + 1)
Let s(p) be the third derivative of p**5/100 - 3*p**4/40 + p**3/5 - 19*p**2. Factor s(c).
3*(c - 2)*(c - 1)/5
Suppose -20/9*t**2 - 4/9*t**4 - 8/9*t - 16/9*t**3 + 0 = 0. What is t?
-2, -1, 0
Factor -1/3*o**4 + 0 - 1/3*o**2 + 2/3*o**3 + 0*o.
-o**2*(o - 1)**2/3
Let t be (3*-2)/((-1)/(1/4)). Let r(p) be the first derivative of t*p**3 + 3/4*p**2 + 4 - 3*p. Suppose r(x) = 0. Calculate x.
-1, 2/3
Let j(c) = 7*c**3 + 12*c**2 + 3*c - 5. Let v = -16 - -23. Let a(y) = 14*y**3 + 24*y**2 + 6*y - 11. Let t(s) = v*j(s) - 3*a(s). Suppose t(f) = 0. What is f?
-1, 2/7
Let k be (-11 - -11)/(1/(-1)). Suppose 0 = 4*h - 2*h + 4*g, k = 3*g + 3. Determine u so that -1/2*u**h + 1/2*u**4 + 0 - 1/2*u**3 + 0*u + 1/2*u**5 = 0.
-1, 0, 1
Let x = 94 - 173/2. Let i = x - 7. Factor i*s**4 - 2*s**3 + 2*s - 2 + 3/2*s**2.
(s - 2)**2*(s - 1)*(s + 1)/2
Factor -61*j**2 - 13*j - 35*j + 16 + 97*j**2.
4*(3*j - 2)**2
Let r(o) be the second derivative of 1/105*o**6 - 1/7*o**2 + 0 - 1/35*o**5 + 2/21*o**3 + 0*o**4 + 3*o. Let r(s) = 0. Calculate s.
-1, 1
Let d(s) be the second derivative of -s**5/5 + 4*s**4/3 - 2*s**3 - s - 15. Factor d(o).
-4*o*(o - 3)*(o - 1)
Suppose 0 = -4*b - 21 - 15. Let o = b - -11. Factor 0 + 2/7*d**o - 2/7*d.
2*d*(d - 1)/7
Factor -2/5*k**2 - 18/5 + 4*k.
-2*(k - 9)*(k - 1)/5
Factor -35/2*g - 15/2*g**2 - 5.
-5*(g + 2)*(3*g + 1)/2
Let s(a) be the first derivative of 3*a**4 + 4*a**3/3 + 28. Let s(f) = 0. Calculate f.
-1/3, 0
Let b(l) be the first derivative of l**5/30 + l**4/3 + 10*l**3/9 + 4*l**2/3 - 35. Solve b(y) = 0.
-4, -2, 0
Let z(k) be the second derivative of -1/20*k**6 - 4*k + 0 + 0*k**4 - 1/28*k**7 + 0*k**3 + 0*k**2 + 3/20*k**5. Factor z(n).
-3*n**3*(n - 1)*(n + 2)/2
Let z(i) be the second derivative of -49/120*i**6 + 0*i**3 + 1/12*i**4 + 0*i**5 + 0 - 3*i + 0*i**2. Factor z(g).
-g**2*(7*g - 2)*(7*g + 2)/4
Let l = 64/87 + -2/29. Let m(f) = -f. Let w be m(-4). Suppose 0 - k**5 + 2/3*k**2 - l*k**w + 0*k + k**3 = 0. What is k?
-1, -2/3, 0, 1
What is n in -17*n**3 - 3*n**4 + 6*n**2 - 11*n**4 + 7*n**5 - 2*n**4 = 0?
-1, 0, 2/7, 3
Let n(l) be the second derivative of -l**7/315 - l**6/90 + l**2/2 - l. Let a(p) be the first derivative of n(p). Let a(o) = 0. Calculate o.
-2, 0
Let j(o) be the second derivative of -3*o**5/20 + o**4/8 - 7*o**2/2 + 6*o. Let r(i) be the first derivative of j(i). Suppose r(z) = 0. Calculate z.
0, 1/3
Factor 0*j + 0 - 4/3*j**3 + 0*j**2.
-4*j**3/3
Factor -363*b**4 - 4*b**2 + 66*b**3 + 1331/2*b**5 + 0 + 0*b.
b**2*(11*b - 2)**3/2
Let a(g) be the second derivative of g**5/12 - 35*g**4/36 + 20*g**3/9 + 40*g**2/3 + g - 5. Find h such that a(h) = 0.
-1, 4
Factor g**2 - 2*g - 4 + 1/2*g**3.
(g - 2)*(g + 2)**2/2
Suppose 13 = 3*z + 4. Suppose 0*l**z - 2 + 3*l**3 + 6*l - 6*l**2 - l**3 = 0. Calculate l.
1
Let c(f) = f + 2. Let b be c(1). Let j be (b - 1) + (-1)/(-4). Factor j*k + 15/4*k**2 + 1/2 + 3/4*k**4 + 11/4*k**3.
(k + 1)**3*(3*k + 2)/4
Let g(r) = -r**3 - 3*r**2 + 4*r + 2. Let u be g(-4). Factor -33 - 30*y**3 - u*y - 26*y**4 - 14*y**2 + 33 - 8*y**5.
-2*y*(y + 1)**3*(4*y + 1)
Let g(w) be the first derivative of w**6/14 - 6*w**5/35 + 3*w**4/28 - 1. What is f in g(f) = 0?
0, 1
Let i = -20 + 22. Factor -10*q**2 + q - 3*q - 2*q**3 + 14*q**i.
-2*q*(q - 1)**2
Let a be (1 + 1)*(-4)/5. Let u = a + 2. Factor u*b**3 + 0*b + 2/5*b**2 + 0.
2*b**2*(b + 1)/5
Let u(t) be the first derivative of -2*t**5/5 - t**4/2 + 2*t**3/3 - 2. Let g(m) = -m**3 - m**2 + 1. Let n(h) = 4*g(h) - 2*u(h). Factor n(a).
4*(a - 1)**2*(a + 1)**2
Let m(n) = -n**3 + 48*n**2 - 90*n - 89. Let u be m(46). Factor 0 + 0*l**4 + 4/3*l**2 + 0*l - 2*l**u + 2/3*l**5.
2*l**2*(l - 1)**2*(l + 2)/3
Let n = -9 - -14. Solve -2*q**5 - 4*q**2 + 2*q**5 + q**n - 2*q + 4*q**4 + q**5 = 0.
-1, 0, 1
Let v(i) be the first derivative of 3*i**5/20 - 5*i**4/16 + i**3/6 - 8. Factor v(z).
z**2*(z - 1)*(3*z - 2)/4
Let -8/11*q**2 + 8/11*q**3 + 4/11*q**5 + 0 + 14/11*q**4 + 0*q = 0. Calculate q.
-2, 0, 1/2
Factor 3/5*g**2 + 2/5*g + 0 + 1/5*g**3.
g*(g + 1)*(g + 2)/5
Suppose -4*t + 7 = u, -4*u - 14*t + 16*t = -10. What is c in 0*c**4 - 1/4*c**5 + 1/4*c**u + 0*c**2 + 0*c + 0 = 0?
-1, 0, 1
Let r(l) be the first derivative of -l**7/105 + l**5/30 - l**2/2 - 2. Let h(u) be the second derivative of r(u). Factor h(f).
-2*f**2*(f - 1)*(f + 1)
Suppose -3*z - 560 = -4*a + 2*z, 2*a = -2*z + 262. Let i be (-2)/(-6) - (-9)/a. Factor -8/5*u**2 + i*u + 6/5*u**3 + 0.
2*u*(u - 1)*(3*u - 1)/5
Let x(i) = 0*i - 3*i**2 - i + i**3 - i**2. Let r(d) = 4*d**2 - d**2 - d**3 - 2*d + 3*d. Let p(z) = -4*r(z) - 3*x(z). Factor p(c).
c*(c - 1)*(c + 1)
Let h(f) be the first derivative of -2*f**5/15 - f**4/6 + 4*f**3/9 + 9. Suppose h(o) = 0. What is o?
-2, 0, 1
Let o(l) = 3*l**3 - 5*l**2 + 2*l - 5. Let d(a) = 2*a**3 - 3*a**2 + a - 3. Let n(j) = 5*d(j) - 3*o(j). Let n(q) = 0. What is q?
-1, 0, 1
Suppose -2*c + 3*y + 31 = 2*c, 3*c + y - 7 = 0. Let o(b) be the first derivative of -1/4*b**2 + b - 1/3*b**3 + 1/8*b**c + 3. Determine g so that o(g) = 0.
-1, 1, 2
Let h(v) be the third derivative of -1/60*v**5 + 0 + 0*v + 11/72*v**4 + 4*v**2 + 2/9*v**3. Find i, given that h(i) = 0.
-1/3, 4
Let h be (-4)/22 - (-48)/22. Let -1/2*v**h + 0*v + 1/2*v**3 + 0 = 0. Calculate v.
0, 1
Let s(r) be the second derivative of -r**7/42 - 2*r**6/5 - 12*r + 2. Factor s(q).
-q**4*(q + 12)
Determine k, given that -8*k**2 - 4*k**3 - 4*k + 8*k - 8*k = 0.
-1, 0
Let a(m) be the third derivative of -m**5/75 + 2*m**4/15 - 8*m**3/15 - m**2. What is l in a(l) = 0?
2
Suppose -q + 5 = -0*q. Let 4*x - 2*x**4 + x**5 + 0*x**4 - 6*x**3 + x**q + 2*x**2 = 0. Calculate x.
-1, 0, 1, 2
Factor 0 - 1/2*q - 13/4*q**2 - 7/4*q**5 - 23/4*q**4 - 27/4*q**3.
-q*(q + 1)**3*(7*q + 2)/4
Let w(x) be the third derivative of -x**5/150 + x**4/15 - x**3/5 + 11*x**2. Solve w(b) = 0.
1, 3
Factor 2*p**2 + 646*p - 720 - 7*p**2 - 766*p.
-5*(p + 12)**2
Let y = -52 - -4. Let o be y/15*(-10)/4. Factor 8*u + 2*u - 22*u**2 - 2 + 6*u**3 + o*u**2.
2*(u - 1)**2*(3*u - 1)
Suppose 3*g - 5*k = 1, -5*g + 4*k - 2 + 8 = 0. Let f(y) be the second derivative of 0 + g*y + 0*y**3 + 0*y**2 - 1/24*y**4. Let f(w) = 0. What is w?
0
Suppose -4*k = 2*d + 32, -3*k + 13 = -d - 18. Let t(u) = 3*u**5 + u**4 - 2*u**3. Let x(o) = 16*o**5 + 5*o**4 - 11*o**3. Let j(b) = d*t(b) + 4*x(b). Factor j(a).
-2*a**4*(a + 1)
Factor 1/2 + 3/2*k + 3/2*k**2 + 1/2*k**3.
(k + 1)**3/2
Let o be (-7)/((-7)/(-2)) + 64/20. Let -8/5*z**3 - 2/5 + o*z + 0*z**2 = 0. What is z?
-1, 1/2
Let n(u) be the first derivative of -3*u**5/40 - 3*u**4/16 - u**3/8 + 3*u - 1. Let v(z) be the first derivative of n(z). Find t, given that v(t) = 0.
-1, -1/2, 0
Let 0*t + 3/2*t**3 + 2 - 7/2*t**2 = 0. What is t?
-2/3, 1, 2
Let i = 931/15 - 62. Let s(p) be the second derivative of 1/3*p**2 - 2/9*p**3 + i*p**5 + 0*p**4 - p - 1/45*p**6 + 0. Factor s(g).
-2*(g - 1)**3*(g + 1)/3
Let r(s) be the first derivative of -9*s**4/2 + 12*s**3 + s**2 - 4*s - 25. Solve r(h) = 0.
-1/3, 1/3, 2
Let k(m) be the second derivative of 7/240*m**5 + m**2 - 1/48*m**4 - 2*m + 0*m**3 + 0. Let c(t) be the first derivative of k(t). Factor c(g).
g*(7*g - 2)/4
Suppose -24/7*s**2 + 12/7*s**5 + 20/7*s**4 - 8/7*s**3 + 4/7 - 4/7*s = 0. Calculate s.
-1, 1/3, 1
Let -d**4 + 2*d**5 - 3*d**3 - 9*d**4 - 5*d**5 + 4*d**4 = 0. Calculate d.
-1, 0
Let t(y) be the second derivative of y**4/4 + 8*y. Factor t(b).
3*b**2
Let o(i) be the first derivative of 3*i**5/5 + 9*i**4/4 + i**3 - 9*i**2/2 - 6*i + 3. What is x in o(x) = 0?
-2, -1, 1
Let u(g) be the second derivative of -1/24*g**4 + 0 - 1/12*g**3 - 3*g + 0*g**2 + 1/60*g**6 + 1/40*g**5. Factor u(y).
y*(y - 1)*(y + 1)**2/2
Suppose -1/5*q**5 - 3/5*q**3 + 0 + 4/5*q + 4/5*q**2 - 4/5*q**4 = 0. What is q?
-2, -1, 0, 1
Factor 26*w**4 - w**3 - 4*w**3 - 31*w**4.
-5*w**3*(w + 1)
Suppose 3*v - 3 = 66. Let r = v - 91/4. Suppose 0*n**2 + r*n**4 + 0 + 0*n - 1/4*n**5 + 0*n**3 = 0. What is n?
0, 1
Suppose 2*a - 4*a = 0. Let s(u) be the third derivative of -1/420*u**6 + 0*u**3 + 0*u**4 + 1/735*u**7 + 0*u + 2*u**2 + a + 0*u**5. Factor s(n).
2*n**3*(n - 1)/7
Let a be ((-4)/(-7))/(2/7). Let f be (24/(-20))/a - -1. Determine s, given that -f*s + 2/5*s**3 - 2/5 + 2/5*s**2 = 0.
-1, 1
Let a(h) be the seco