g(s) = 0.
0, 6
Let l(j) be the first derivative of -j**3/3 - j**2 - j + 9. Factor l(y).
-(y + 1)**2
Suppose -4*p = -2*p + 2*k - 14, p + 4*k = 22. Solve -2*w**3 + 2/5*w**p + 2/5*w**5 + 16/5*w + 8/5 - 2/5*w**4 = 0 for w.
-1, 2
Let q be 5 + 2/(-14) + -1*4. Determine o, given that q*o**3 + 0*o + 0 - 1/7*o**4 - 9/7*o**2 = 0.
0, 3
Let z(a) be the first derivative of -4*a**3/3 - 2*a**2 - 6*a + 2. Let h(r) = -7*r**2 - 8*r - 11. Let o(x) = -6*h(x) + 11*z(x). Factor o(q).
-2*q*(q - 2)
Let j(n) = n**3 + 10*n**2 + 8*n - 7. Let b be j(-9). Factor -g - g + 2*g**2 + 3*g**b - 7*g**2.
-2*g*(g + 1)
Let q(h) be the second derivative of 1/42*h**4 + 0*h**3 + 4*h - 1/28*h**6 + 1/210*h**5 + 1/2*h**2 + 0. Let m(r) be the first derivative of q(r). Factor m(p).
-2*p*(3*p + 1)*(5*p - 2)/7
Factor -2/3*u**5 + 0*u + 2*u**4 - 2*u**3 + 2/3*u**2 + 0.
-2*u**2*(u - 1)**3/3
Let -194/7*i**2 - 8/7 - 32/7*i**4 + 144/7*i**3 + 72/7*i = 0. What is i?
1/4, 2
Factor 14*n + 2*n**3 + 2*n - 30*n + 6*n.
2*n*(n - 2)*(n + 2)
Suppose 5*h**3 + h + 3*h - 12*h - 7*h + 10 = 0. What is h?
-2, 1
Let y be (-14)/(-4)*(-51)/(-119) - 1. Factor -y*u**2 - 1/2 + u.
-(u - 1)**2/2
Let p(m) be the third derivative of -14641*m**7/210 + 1331*m**6/15 - 242*m**5/5 + 44*m**4/3 - 8*m**3/3 + 10*m**2. Factor p(t).
-(11*t - 2)**4
Let u(k) be the third derivative of -k**6/100 - k**5/20 - k**4/40 + k**3/5 + 21*k**2. Factor u(h).
-3*(h + 1)*(h + 2)*(2*h - 1)/5
Let n(p) = -p**2 - 9*p - 15. Let c be n(-6). Factor -2/9*k**5 - 20/9*k**c + 2/9 - 10/9*k + 10/9*k**4 + 20/9*k**2.
-2*(k - 1)**5/9
Suppose 4*g - g - 15 = 0. Let r(d) be the second derivative of 0*d**2 + 1/20*d**g + 0 - 1/6*d**3 + 0*d**4 - 3*d. Suppose r(a) = 0. Calculate a.
-1, 0, 1
Factor 1/7*j**2 - 3/7*j + 2/7.
(j - 2)*(j - 1)/7
Factor -10/9*m - 2/9*m**2 - 8/9.
-2*(m + 1)*(m + 4)/9
Let b(m) = -m + 1. Let q be b(1). Let a = q + 0. Let -9/2*x**4 + 0 - x**3 + a*x**2 - 7/2*x**5 + 0*x = 0. Calculate x.
-1, -2/7, 0
Let u be (-142)/(-3) - 2/(-3). Let k be (-4)/10 + u/20. Let 2*z**4 - k*z**2 + 2*z + z**3 - 4*z + z**3 = 0. Calculate z.
-1, 0, 1
Suppose 4*k - 3*k - 3 = 0. Find f such that f**4 - 4*f**3 + k*f**3 - f**2 - 2*f + 3*f = 0.
-1, 0, 1
Let n(r) be the second derivative of -r**7/84 + r**6/15 - r**5/8 + r**4/12 + 2*r. Factor n(x).
-x**2*(x - 2)*(x - 1)**2/2
Let d(t) = 8*t**3 - 15*t**2 - 45*t - 28. Let s(v) = -17*v**3 + 30*v**2 + 90*v + 57. Let g(r) = -7*d(r) - 3*s(r). Factor g(b).
-5*(b - 5)*(b + 1)**2
Determine a so that -16/9*a - 8/9 - 10/9*a**2 - 2/9*a**3 = 0.
-2, -1
Let q(f) = 4*f**3 - 2*f**2 - 3. Let s(x) = 7*x**3 - 4*x**2 - 5. Suppose v = -3*v + 20. Let z(a) = v*q(a) - 3*s(a). What is b in z(b) = 0?
0, 2
Let c(s) be the first derivative of -7*s**6/15 + 6*s**5/5 - s**4/2 - 2*s**3/3 - 4*s + 2. Let o(k) be the first derivative of c(k). Solve o(g) = 0 for g.
-2/7, 0, 1
Let t(a) be the third derivative of -a**5/12 - a**4/8 + a**3 - 3*a**2. Let c(n) = -51*n**2 - 30*n + 60. Let i(s) = 2*c(s) - 21*t(s). Solve i(y) = 0 for y.
-2, 1
Suppose -5*a + 4*g - 66 = 0, -4*a - 4*g = -2*a + 4. Let y be (5/(-2))/(a/8). Solve 0*m**y + 0*m + 3/5*m**3 + 0 = 0 for m.
0
Let p = -5 + 9. Factor 0 + 1/5*j**3 - 3/5*j**p + 1/5*j**5 - 2/5*j + 3/5*j**2.
j*(j - 2)*(j - 1)**2*(j + 1)/5
Let w be (120/(-36))/((-4)/6). Let 18/7*v**2 + 6/7*v**w + 0 + 4/7*v + 22/7*v**4 + 30/7*v**3 = 0. What is v?
-1, -2/3, 0
Factor 3/2*d**2 - 6*d + 9/2.
3*(d - 3)*(d - 1)/2
Let c(g) = -2*g**3 - 2*g**2 + 6*g - 2. Let j(h) = h**3 + h**2 - 5*h + 3. Let n(l) = 3*c(l) + 2*j(l). Factor n(y).
-4*y*(y - 1)*(y + 2)
Let w(s) be the third derivative of -s**6/660 + s**5/165 + s**4/44 - 25*s**2 + s. Factor w(q).
-2*q*(q - 3)*(q + 1)/11
Let y(w) = 4 - 2 - 6 - 4*w - w**2 + 10*w. Let i(o) = -2*o**2 + 6*o - 5. Let s(x) = -4*i(x) + 5*y(x). Factor s(z).
3*z*(z + 2)
Let m(y) be the third derivative of -y**6/1020 + 2*y**5/255 - 5*y**4/204 + 2*y**3/51 - 10*y**2. Factor m(c).
-2*(c - 2)*(c - 1)**2/17
Let u(x) be the second derivative of 3/2*x**2 + 1/480*x**6 + 0 - 2*x - 1/12*x**3 + 0*x**5 - 1/32*x**4. Let o(a) be the first derivative of u(a). Factor o(j).
(j - 2)*(j + 1)**2/4
Let a be (-3)/4 + (-15)/(-20). Let w(j) be the second derivative of 3*j - 3/10*j**5 + 0 + a*j**4 + j**3 + 1/10*j**6 - 3/2*j**2. Solve w(s) = 0 for s.
-1, 1
Let z(c) = -13*c**2 - 2*c + 1. Let i be z(1). Let p be (-32)/i - (-4)/(-14). Factor 1 + 3 + k**2 + k**p + 2*k**3 - 4*k + k**4 - 5*k**2.
(k - 1)**2*(k + 2)**2
Let g(j) = -2*j**4 - 4*j**3 - j**2 + j - 1. Let q(d) = d**2 + d - 1. Let f(t) = -2*g(t) + 2*q(t). Let f(m) = 0. Calculate m.
-1, 0
Let w(l) be the first derivative of -l**5 + 5*l**4 - 10*l**3 + 10*l**2 - 5*l - 12. Factor w(v).
-5*(v - 1)**4
Suppose 0 = 2*c - 7 - 7. Suppose -2*v + 19 = -2*k - 7*v, -4*k - v = -c. Factor 0*u**k + 0 - 2*u + 2*u**3 + u**4 - 1.
(u - 1)*(u + 1)**3
Let x be 24/(-22)*((-5)/15)/1. Factor 4/11*h**2 + 0*h**3 - 2/11*h**5 + 2/11*h + 0 - x*h**4.
-2*h*(h - 1)*(h + 1)**3/11
Let t(u) be the third derivative of -1/30*u**5 + 1/8*u**4 + 0 + 0*u + 2*u**2 - 1/6*u**3. Factor t(w).
-(w - 1)*(2*w - 1)
Let d = 22 - 17. Find x such that -16*x**2 - x**3 - 6*x + 2 + 2*x**5 - 6*x**4 + 0 + 20*x**2 + d*x**3 = 0.
-1, 1
Suppose 3*g = 9 + 9. Let u = g - 3. What is l in 0*l**2 + 1/3*l**u + 0 - 1/3*l = 0?
-1, 0, 1
Factor 5*k**2 - 4*k**2 - 5*k**3 + 2*k**2 + 2*k**2.
-5*k**2*(k - 1)
Suppose -5*y - 24 = -9. Let l = y + 6. Solve -1/2*z**4 + 0*z + 0*z**2 + 0 - 1/2*z**l = 0 for z.
-1, 0
Let o(n) = 5*n**3 + 20*n**2 + 45*n + 15. Let z(b) = b**2 - b + 1. Let a(g) = o(g) + 5*z(g). Find d, given that a(d) = 0.
-2, -1
Let t(l) = 12*l**5 + 6*l**4 + 5*l**3 + 5*l**2 - 5. Let z(o) = -42*o**5 - 21*o**4 - 18*o**3 - 18*o**2 + 18. Let y(a) = -18*t(a) - 5*z(a). Factor y(s).
-3*s**4*(2*s + 1)
Let l be 2/(-12) - (-1)/2. Let n be 2 + 1 - 35/15. Let n - l*f**2 - 1/3*f = 0. What is f?
-2, 1
Factor 5*o**2 - 72*o**3 + 7*o**2 + 147*o**5 + 63*o**4 + 0*o**2.
3*o**2*(o + 1)*(7*o - 2)**2
Let s(o) be the second derivative of 0*o**3 + 0*o**2 - 1/60*o**6 + 2*o + 0 - 1/24*o**4 + 1/20*o**5. Suppose s(p) = 0. What is p?
0, 1
Let l(s) be the second derivative of -s**7/7 - 3*s**6/10 + 3*s**5/10 + 8*s. Factor l(a).
-3*a**3*(a + 2)*(2*a - 1)
Let i = -31727/4 + 7883. Let u = i + 49. Factor 1/4*s**3 - 1/4*s - 1/4 + u*s**2.
(s - 1)*(s + 1)**2/4
Let o = -27 - -29. Factor -6/5 + 9/5*g - 3/5*g**o.
-3*(g - 2)*(g - 1)/5
Let d(u) be the third derivative of -u**8/3360 - u**7/630 - u**6/360 + u**4/24 + 5*u**2. Let f(w) be the second derivative of d(w). Let f(z) = 0. What is z?
-1, 0
Let k(h) = -4*h**2 - 6*h - 2. Let m(b) = 4*b**2 + 7*b + 2. Let c(o) = -2*k(o) - 3*m(o). Factor c(y).
-(y + 2)*(4*y + 1)
Let s(g) be the first derivative of -g**4/14 - 4*g**3/21 - 11. Let s(a) = 0. What is a?
-2, 0
Let u = -3 - -5. Factor 0 - 2/5*p**u - 2/5*p.
-2*p*(p + 1)/5
What is q in -6*q - 25*q**2 - 3*q + 2 - 3 - q = 0?
-1/5
Let o(p) = 3*p**3 - p**2. Let f = -15 - -22. Suppose -5*g + 5*h = -10, 2*h = g + 2*g - 6. Let w(x) = -x**3. Let i(u) = f*w(u) + g*o(u). Factor i(k).
-k**2*(k + 2)
Suppose 8*k - 20*k + 24 = 0. Let t(r) be the third derivative of 0*r - k*r**2 + 0*r**3 + 0 + 1/12*r**4 - 1/15*r**5 + 1/60*r**6. Factor t(a).
2*a*(a - 1)**2
Let u be 2/(-4) - 15/(-30). Let o(z) be the second derivative of -1/25*z**6 - 1/30*z**4 + u*z**3 + 0 + 3/50*z**5 + 1/105*z**7 + 0*z**2 - 2*z. Factor o(g).
2*g**2*(g - 1)**3/5
Let d(r) = -r + 8. Let a be d(11). Let g be 2/a + 40/42. Factor -4/7*u - g*u**2 - 2/7.
-2*(u + 1)**2/7
Let b(t) = -4*t**3 + 2*t**2 - 2*t**2 + 2*t**2 - 4*t. Let a(m) = -m**3 - m. Let r = 3 + -1. Let u(d) = r*b(d) - 6*a(d). Let u(h) = 0. Calculate h.
0, 1
Let r be (1/(-8))/((-12)/72). Determine l so that -1/4*l**4 + 1/2 - 5/4*l + 1/4*l**3 + r*l**2 = 0.
-2, 1
Suppose 0 = -3*r + h + 38, 10*h = 3*r + 5*h - 22. Suppose -2*o + r = 4*k - o, 2*k = 3*o. Solve 6/5*n**2 + 3/5*n**5 - 12/5*n**4 + 12/5*n**k + 6/5 - 3*n = 0.
-1, 1, 2
Let b(d) be the second derivative of -2*d**6/15 + 2*d**4/3 - 2*d**2 + 54*d. Solve b(y) = 0.
-1, 1
Let y(g) be the first derivative of -3/2*g**2 + 1/4*g**4 - 1 + 0*g**3 - 2*g. Factor y(h).
(h - 2)*(h + 1)**2
Let g(q) = -q**2 + 10*q. Let j be g(10). Suppose j = -2*n - 3*t + 7, -n = -0*t - t - 1. Solve 2/9 + 0*h - 2/9*h**n = 0 for h.
-1, 1
Let l(y) be the second derivative of 0 + 0*y**2 + 0*y**3 - 1/24*y**4 - 1/42*y*