*h**3/2 - 2*h**2. Let k(x) be the first derivative of t(x). Solve k(o) = 0.
-2, -1, 0, 1
Solve 9*u + u**5 - 5*u**5 - 13*u + 8*u**3 = 0.
-1, 0, 1
Let 1/2*f**2 + 0*f**3 - 1/2*f**4 - 1/4*f**5 + 0 + 1/4*f = 0. What is f?
-1, 0, 1
Let s(q) be the second derivative of -q**4/12 + 2*q**2 - 13*q. Factor s(g).
-(g - 2)*(g + 2)
Let m = 3 + -68. Let i = -193/3 - m. Find o, given that -2/3*o - 2/3*o**2 + 2/3 + i*o**3 = 0.
-1, 1
Let k(t) be the first derivative of -t**6/2 - 3*t**5 - 3*t**4 + 9. Factor k(u).
-3*u**3*(u + 1)*(u + 4)
Let 9/7*k**2 + 16/7 + 1/7*k**3 + 24/7*k = 0. What is k?
-4, -1
Let i(b) be the first derivative of 0*b**2 + 0*b + 3 + 2/9*b**3 + 1/12*b**4. Factor i(z).
z**2*(z + 2)/3
Suppose -4*b + 11 = -5. Suppose g + z = 6 - 3, -b*z = -2*g. Factor 4*k - 3*k**g + k**2 - k - 4*k.
-k*(2*k + 1)
Factor -15*o + 21*o + 1 + 2*o**2 + 3.
2*(o + 1)*(o + 2)
Suppose 1/3 + v**2 + v + 1/3*v**3 = 0. What is v?
-1
Suppose 3*z = 2*b - 9, -4*z + 0*z = -4*b + 12. Suppose b = -2*c + 4*c - 4. Determine x, given that -3*x**c + 5*x**2 - x**5 - 4*x**2 + 2*x**4 + x = 0.
-1, 0, 1
Let c(g) be the second derivative of -g**7/21 + 7*g**6/15 - 3*g**5/2 + 3*g**4/2 - 20*g. Factor c(x).
-2*x**2*(x - 3)**2*(x - 1)
Let s be (-7 + (-133)/(-21))*(-3)/5. Solve 0 - s*d**4 + 2/5*d + 2/5*d**2 - 2/5*d**3 = 0 for d.
-1, 0, 1
Factor -c - 3 - 4*c**5 + 0*c**4 + 3*c**5 - 2*c**2 + 2*c**3 - 3*c**4 + 8*c**2.
-(c - 1)**2*(c + 1)**2*(c + 3)
Let z(y) = 5*y - 6. Let u be z(4). Let f be (-6)/u + 92/84. Find d such that -2/3*d + 0 - f*d**2 = 0.
-1, 0
Let k(r) = -r. Let n(z) = 5*z + 5. Let b(i) = 4*k(i) + n(i). Let a be b(-3). Factor -7*d**2 + a*d + 3*d**2 + 3*d**3 - d**3.
2*d*(d - 1)**2
Let l(g) be the first derivative of 4*g**3/3 + 2*g**2 - 8*g - 50. Factor l(c).
4*(c - 1)*(c + 2)
Let g(b) = 10*b - 150. Let n be g(15). Suppose 2/7 - 2/7*q**2 + n*q = 0. What is q?
-1, 1
Let j = -577 - -579. Solve -2/7*k**j + 6/7*k + 0 = 0.
0, 3
Factor 3*w**2 - 2*w**5 + w**4 + w**4 - 5*w**4 - 2*w**2.
-w**2*(w + 1)**2*(2*w - 1)
Let b(l) = l**2 + 5*l. Suppose -2*s - 15 = -5*x, s + 3 + 0 = -2*x. Let w be b(s). Let w*t + 2*t**2 + 0*t**2 - t + t**5 - 2*t**4 = 0. Calculate t.
-1, 0, 1
Let u(i) = -3*i**3 - 3*i**2 + 12*i - 9. Let a(b) = 3*b**3 + 4*b**2 - 13*b + 10. Let n(h) = 3*a(h) + 4*u(h). Factor n(o).
-3*(o - 1)**2*(o + 2)
Suppose 13*d - 16*d + 6 = 0. Let -1/2*u**d - 1/2*u**4 + u**3 + 0*u + 0 = 0. Calculate u.
0, 1
Suppose -4*v + h - 16 = 0, -4*v + 5*v = 5*h - 23. Let p(s) = -s**2 - 4*s. Let q be p(v). Solve 2/9*r**q - 2/9*r - 2/3*r**2 + 2/9 + 4/9*r**4 = 0 for r.
-1, 1/2, 1
Let g be 164/112 - (-8)/28. Find l such that -g*l**3 - l**4 - 1/2*l**2 + 0 + 1/4*l = 0.
-1, 0, 1/4
Suppose 3 = 3*s + 3*o, -6*o = -4*s - o - 23. Let y be (-60)/(-25) - s/(-5). Solve 3 + 21/2*j**y - 27/2*j = 0 for j.
2/7, 1
Let q(y) be the second derivative of -y**4/42 - 4*y**3/7 - 36*y**2/7 - 22*y. Factor q(d).
-2*(d + 6)**2/7
Suppose 0*h**2 + 0*h**3 - 4/7*h**4 - 1/7*h**5 + 0 + 0*h = 0. Calculate h.
-4, 0
Let c = -10 - 5. Let b = c + 15. Find g such that -2/3*g + 2/3*g**3 + b*g**2 + 0 = 0.
-1, 0, 1
Let y(d) be the second derivative of 5*d**7/42 + d**6/30 - d**5/4 - d**4/12 - 28*d. Factor y(a).
a**2*(a - 1)*(a + 1)*(5*a + 1)
Let j be (-5)/(-2)*-7*(-8)/490. Factor -j + 2/7*t - 2/7*t**3 + 2/7*t**2.
-2*(t - 1)**2*(t + 1)/7
Let u(z) be the second derivative of z**6/120 - z**5/60 - z**4/24 + z**3/6 + z**2/2 + z. Let t(s) be the first derivative of u(s). Factor t(l).
(l - 1)**2*(l + 1)
Let p = 2213/2 - 1099. Let 24*m - 75/2*m**3 + 6 + p*m**2 = 0. What is m?
-2/5, 1
Let v(r) be the third derivative of r**8/672 + r**7/105 - 7*r**6/240 - r**5/12 - 19*r**2. Find f, given that v(f) = 0.
-5, -1, 0, 2
Let a(m) = m**4 + m**3 - m**2 - m - 1. Let r(y) = -2*y**5 + 7*y**4 - 11*y**3 + 5*y**2 + y + 1. Let p(t) = a(t) + r(t). Factor p(c).
-2*c**2*(c - 2)*(c - 1)**2
Suppose -6*d - 3 = -7*d. Let r be d/5 + 5/(-25). Let -2/5*s + 0 + r*s**2 = 0. What is s?
0, 1
Let x be 18/63 - (-22)/70. Let y(v) be the first derivative of 0*v + 0*v**2 + 1 + 6/25*v**5 - 8/15*v**3 + x*v**6 - 4/5*v**4. Factor y(s).
2*s**2*(s - 1)*(3*s + 2)**2/5
Let f(s) be the third derivative of 1/80*s**5 + 0*s**3 + 0 - 1/96*s**6 + 0*s + 1/48*s**4 - 4*s**2. Find o, given that f(o) = 0.
-2/5, 0, 1
Let n(b) be the third derivative of b**8/48 + 19*b**7/210 + b**6/8 + b**5/60 - b**4/12 + b**2. Factor n(y).
y*(y + 1)**3*(7*y - 2)
Let t = -22 - -22. Let v(x) be the first derivative of 2/5*x + t*x**2 - 2/15*x**3 - 2. Solve v(c) = 0 for c.
-1, 1
Let j(z) be the third derivative of z**8/960 - z**7/672 - z**6/720 - 4*z**3/3 + 5*z**2. Let s(q) be the first derivative of j(q). Find t such that s(t) = 0.
-2/7, 0, 1
Let p(x) = 8*x**5 - 4*x**4 - 24*x**3 - 8*x**2 + 4. Let r(o) = 8*o**5 - 4*o**4 - 23*o**3 - 8*o**2 + 3. Let t(q) = -3*p(q) + 4*r(q). Determine j so that t(j) = 0.
-1, -1/2, 0, 2
Let q(x) be the third derivative of -x**7/2940 - x**6/630 - x**5/420 + 2*x**3/3 + x**2. Let n(p) be the first derivative of q(p). Factor n(i).
-2*i*(i + 1)**2/7
Let c(b) be the second derivative of 0 + 5/9*b**4 - 1/3*b**5 - 3*b - 5/9*b**3 + 1/9*b**6 + 1/3*b**2 - 1/63*b**7. Determine l, given that c(l) = 0.
1
Let v be (-75)/(-780) - 3/(-78)*4. Let -v*k**2 - 3/4 + 1/4*k**3 - 5/4*k = 0. What is k?
-1, 3
Let d be ((-3)/(-4))/(5/20). Suppose d*w - w - 4 = 0. Factor -3*k**2 + 10*k + w*k**3 - 5*k**2 - 3 - 1.
2*(k - 2)*(k - 1)**2
Let z(k) be the second derivative of -1/5*k**2 + 4*k + 0*k**3 + 1/30*k**4 + 0. Find q, given that z(q) = 0.
-1, 1
Let y(q) be the third derivative of q**5/270 - q**4/108 - 2*q**3/27 - 25*q**2. Factor y(c).
2*(c - 2)*(c + 1)/9
Let d be -12*((-69)/63 - -1)/1. Factor -18*i**2 - d + 64/7*i.
-2*(7*i - 2)*(9*i - 2)/7
Factor 22*f - 5*f**2 + 4*f**2 - 10*f - 2*f**2.
-3*f*(f - 4)
Let i be 1/(-2 - 18/(-8)). Suppose -4*w**4 - 2*w + 2*w - 14*w**3 - 6*w**4 - i*w**2 = 0. Calculate w.
-1, -2/5, 0
Let q(g) = 4*g**2 - 4. Let d be 42/(-7) - -1*3. Let l(h) = -h**5 + h**4 + h**3 - 4*h**2 + 3. Let k(x) = d*q(x) - 4*l(x). Solve k(p) = 0 for p.
-1, 0, 1
Factor -30*u + 31 - 50*u + 12*u**4 - 15 - 64*u**3 + 116*u**2.
4*(u - 2)**2*(u - 1)*(3*u - 1)
Let f(m) be the second derivative of -m**7/12600 + m**6/1800 + m**4/3 + 3*m. Let v(u) be the third derivative of f(u). Solve v(d) = 0.
0, 2
Let d(r) = -r**2 + 9*r + 13. Let n be d(10). Find u, given that -u**4 + 5*u**3 + 2 + 4*u - 9*u**n - u**4 = 0.
-1, 1
Let p = -102 + 102. Let y = 11/3 - 19/6. What is m in -y*m + p + 1/2*m**3 + 0*m**2 = 0?
-1, 0, 1
Suppose 4*q + 1 = 17. Suppose 2*n + 4*p - 16 = 0, -3*n = 2*p - q*p. Suppose -c + 1/2 + 1/2*c**n = 0. Calculate c.
1
Let z(b) be the first derivative of 3*b**4/4 + 5*b**3 + 21*b**2/2 + 9*b + 2. Factor z(v).
3*(v + 1)**2*(v + 3)
Let i(j) be the third derivative of j**9/120960 + j**8/16128 + j**7/10080 + j**5/12 - 8*j**2. Let a(q) be the third derivative of i(q). Solve a(v) = 0.
-2, -1/2, 0
Let d(s) be the third derivative of -1/20*s**5 + 0*s + 0*s**4 + 0 + 0*s**3 - 4*s**2. Factor d(t).
-3*t**2
Let y(t) be the second derivative of t**5/50 - t**4/10 + 2*t**3/15 + 9*t. Factor y(s).
2*s*(s - 2)*(s - 1)/5
Let o = 2 + 4. Let t(b) be the second derivative of 0 + 0*b**3 - 3/10*b**5 + 1/6*b**4 + 0*b**2 + 1/5*b**o + b - 1/21*b**7. Factor t(y).
-2*y**2*(y - 1)**3
Let t(f) be the second derivative of f**6/180 - f**5/30 - f**4/36 + f**3/3 + 3*f**2/4 - 29*f. Factor t(z).
(z - 3)**2*(z + 1)**2/6
Find f, given that -28*f**2 - 54*f - 108*f**2 - 3 + f**2 - 108*f**2 = 0.
-1/9
Let r be 4 + 1 + 23/(-5). Solve -r - 18/5*x**2 + 4*x = 0.
1/9, 1
Let c(b) be the first derivative of -3*b**5/20 - b**4/4 + 2*b - 1. Let f(l) be the first derivative of c(l). Factor f(r).
-3*r**2*(r + 1)
Let f(s) = 2*s**4 + 11*s**3 - 20*s**2 + 28*s - 15. Let l(o) = o**4 + 10*o**3 - 21*o**2 + 28*o - 14. Let w(j) = -2*f(j) + 3*l(j). Factor w(p).
-(p - 3)*(p - 2)**2*(p - 1)
Let b = 491/1500 - -3/500. Let -1/3*o**5 - 1/3*o - 1/3*o**4 + 2/3*o**2 + 2/3*o**3 - b = 0. What is o?
-1, 1
Let p(i) = 7*i**2 - 73*i - 82. Let h(t) = 29*t**2 - 291*t - 329. Let m(g) = 2*h(g) - 9*p(g). Factor m(o).
-5*(o - 16)*(o + 1)
Let h(c) be the second derivative of -1/45*c**6 + 1/6*c**5 - 4*c - 2/9*c**3 + 1/18*c**4 + 0 - 1/21*c**7 + 0*c**2. Solve h(u) = 0.
-1, 0, 2/3, 1
Let f(q) be the second derivative of 3*q**5/50 - q**4/15 + 13*q. L