
Let z(u) = -u**3 - 8*u**2 + 9*u - 9. Let p be z(-9). Let r = p + 11. Let -1/4*g**5 + 1/4*g**3 - 1/4*g**r + 0 + 1/4*g**4 + 0*g = 0. Calculate g.
-1, 0, 1
Suppose -6/5*j**2 + 2/5*j**4 - 2*j - 4/5 + 2/5*j**3 = 0. What is j?
-1, 2
Let r(l) be the first derivative of -5*l**6/18 + 2*l**5/15 + 5*l**4/12 - 2*l**3/9 + 2. Determine f so that r(f) = 0.
-1, 0, 2/5, 1
Suppose -3*x + 5*c = 11, 4*x + 3*c = 11 + 13. Factor -b + b**2 - x + 2*b - 6*b + 3*b.
(b - 3)*(b + 1)
Let s be (0 - 0 - (-6)/108)*4. Factor 2/9*l**2 + 0 - s*l.
2*l*(l - 1)/9
Let u(t) be the first derivative of -t**8/168 + 2*t**7/315 + t**6/60 - t**5/45 - 2*t**2 - 1. Let x(s) be the second derivative of u(s). Solve x(k) = 0.
-1, 0, 2/3, 1
Solve -6/7*o**2 + 24/7 - 6/7*o**3 + 24/7*o = 0 for o.
-2, -1, 2
Let s(y) be the second derivative of -y**6/30 + 2*y**5/5 - 3*y**4/2 + 8*y**3/3 - 5*y**2/2 + 2*y. Factor s(a).
-(a - 5)*(a - 1)**3
Let k = 0 - 0. Let s = k - -2. Determine a so that 2*a**3 - 2*a - a**2 - a**s + 3 - 1 = 0.
-1, 1
Let v be 3/(-26)*10*(-8)/60. Determine n so that 2/13*n - 4/13*n**2 + v*n**3 + 0 = 0.
0, 1
Let u = 29/14 + 613/42. Let t = -16 + u. Factor -2/3*f - t + 2/3*f**3 + 2/3*f**2.
2*(f - 1)*(f + 1)**2/3
Let i(d) be the second derivative of -d**4/66 + 2*d**3/33 + 33*d. Let i(x) = 0. Calculate x.
0, 2
Let w = 53/2 - 155/6. Find u such that -w*u + 2/3*u**2 + 0 = 0.
0, 1
Let q(y) be the first derivative of -4*y**5/5 + 2*y**4 - 4*y**3/3 + 10. Factor q(l).
-4*l**2*(l - 1)**2
Factor 3/5*i**3 + 0 + 0*i**2 + 0*i.
3*i**3/5
Let y(l) be the second derivative of l**4/3 - 2*l**3/3 - 4*l**2 + 2*l. Let y(k) = 0. Calculate k.
-1, 2
Let l = 193/276 + -3/92. Suppose -2*y + 0*y = 0. Determine s, given that l*s**3 + 2/9*s**2 - 8/9*s**4 + 0 + y*s = 0.
-1/4, 0, 1
Factor 328*l**4 - 337*l**4 - 3*l**2 - 5*l**3 - 7*l**3.
-3*l**2*(l + 1)*(3*l + 1)
Let d(u) be the first derivative of -u**3 - 9*u**2/2 + 12*u - 14. What is c in d(c) = 0?
-4, 1
Suppose -4*n + 4 = 4*z, 2*n + 3*n + 2*z - 8 = 0. Suppose 2*u + 5*u**3 - 3*u**4 - n*u**3 + 0*u**2 + 5*u**3 - 7*u**2 = 0. What is u?
0, 2/3, 1
Let z(t) be the first derivative of t**6/60 - t**5/40 - t**4/24 + t**3/12 - t - 5. Let h(n) be the first derivative of z(n). Find v, given that h(v) = 0.
-1, 0, 1
Let f = -6/65 + 237/455. Factor f*u**4 - 6/7*u - 9/7*u**2 + 0*u**3 + 0.
3*u*(u - 2)*(u + 1)**2/7
Let j = 74 + -68. Let t(i) be the first derivative of 0*i + 3 + 4/3*i**3 + 1/3*i**j - i**2 - 4/5*i**5 + 0*i**4. Solve t(r) = 0 for r.
-1, 0, 1
Suppose -o = -84*n + 86*n - 6, -3 = -n - 2*o. Factor 3/8*k**2 - 1/4*k + 0 - 1/8*k**n.
-k*(k - 2)*(k - 1)/8
Suppose 3*k + 2 = -2*d, -3*d = -0*d + 5*k + 4. Find r such that -8 + 12*r + 9*r**2 - 9*r**d - 4*r**3 = 0.
-2, 1
Let n(o) be the first derivative of -2/9*o**2 - 2/27*o**3 + 9 + 0*o. Determine l so that n(l) = 0.
-2, 0
Let u be -4 - (-3 + 85 + 4). Let k be ((-4)/u)/(10/50). Determine j, given that -k*j**3 + 8/9 - 2/3*j**2 + 0*j = 0.
-2, 1
Let q(c) be the first derivative of -c**5/70 - c**4/21 + c**3/21 + 2*c**2/7 + c - 4. Let t(n) be the first derivative of q(n). Factor t(i).
-2*(i - 1)*(i + 1)*(i + 2)/7
Let d(s) = -16*s**3 + 17*s**2 - 2*s + 1. Let m(j) = -63*j**3 + 69*j**2 - 9*j + 3. Let y(k) = -15*d(k) + 4*m(k). Factor y(g).
-3*(g - 1)**2*(4*g + 1)
Let d be (-4)/5*5/(-2). Find s, given that -4*s**4 + 4*s**3 - d*s**3 + s**4 + s**4 = 0.
0, 1
Let r(l) be the first derivative of -l**8/1680 - l**7/420 - l**6/360 + l**3 - 1. Let d(s) be the third derivative of r(s). Factor d(k).
-k**2*(k + 1)**2
Let a(z) be the third derivative of 0*z + 2/7*z**7 + 9*z**2 + 0 + 0*z**3 - 13/40*z**6 + 0*z**4 + 1/10*z**5. Find o such that a(o) = 0.
0, 1/4, 2/5
Factor 0 - o**4 + 4/3*o - 7/3*o**3 + 0*o**2.
-o*(o + 1)*(o + 2)*(3*o - 2)/3
Let x = -56 - -2689/48. Let f(m) be the third derivative of x*m**4 + 1/120*m**5 + 0 + 0*m + 2*m**2 + 0*m**3. Factor f(i).
i*(i + 1)/2
Let -24*h + 6*h**2 + 7*h**2 - 12 - 3*h**3 - 28*h**2 = 0. What is h?
-2, -1
Suppose 642 = -3*q + 222. Let n be 4/5*(-50)/q. Factor -2/7*m + 0 - n*m**2.
-2*m*(m + 1)/7
Suppose 0 = -4*p + 2*h + 2*h + 956, 0 = 3*p + 4*h - 724. Let o = p - 955/4. Factor o*q - 1/2 - 3/4*q**2.
-(q - 1)*(3*q - 2)/4
Let m(v) = -v**3 + 12*v**2 - 27*v + 13. Let z(u) = u**2 - u - 1. Let n(r) = -5*m(r) + 15*z(r). Find t, given that n(t) = 0.
1, 4
Let f be 20/50 + 58/5. Find w such that f + w**2 - 8 + w - 6 = 0.
-2, 1
Let q(v) = 2*v**2 + 3*v + 1. Let b be q(-2). Solve 15*p**3 - 2*p**2 + 4*p + 12*p**2 - 7*p**b + 2*p**4 = 0.
-2, -1, 0
Let x(p) = -p + 0*p + 12 + 19 + 2*p. Let w be x(0). Factor 0 + 13*b**4 - 3 - 12*b - 32*b**3 - 28*b**2 - 4*b**5 + 1 - w*b**4.
-2*(b + 1)**4*(2*b + 1)
Suppose 13 = 5*u - q - 1, 5*u = -3*q - 2. Factor 0*t + 0*t + 4*t**2 - 3*t**u.
t**2
Factor 3*o**4 - o**2 - 3*o**3 + 3*o**2 + 0*o**2 - 5*o**2 + 3*o.
3*o*(o - 1)**2*(o + 1)
Let r(z) be the first derivative of -z**6/9 + 2*z**5/15 + z**4 - 28*z**3/9 + 11*z**2/3 - 2*z + 21. Factor r(k).
-2*(k - 1)**4*(k + 3)/3
Let m(u) be the third derivative of u**9/5040 - u**8/2240 + u**4/24 - u**2. Let h(j) be the second derivative of m(j). Solve h(y) = 0.
0, 1
Let s be 42/(-6)*(15/6)/(-5). Factor -9/2*c**2 + c + s*c**3 + 0.
c*(c - 1)*(7*c - 2)/2
Let c(z) be the first derivative of 1/20*z**5 - 1/8*z**2 + 0*z + 1/16*z**4 - 4 - 1/12*z**3. Determine s so that c(s) = 0.
-1, 0, 1
Let f = -23 + 8. Let i = f + 36. Find v, given that -12*v**2 + 2*v**4 + i*v - 42*v**3 + 5 + 4*v**4 + 1 + 21*v**5 = 0.
-1, -2/7, 1
Let w(z) be the first derivative of z**4/16 + 3*z**3/4 + 3*z**2 + 5*z - 1. What is d in w(d) = 0?
-5, -2
Let q(k) = -7*k**5 - 16*k**4 + 16*k**3 + 16*k**2 + 9*k. Let a(p) = 2*p**5 + 4*p**4 - 4*p**3 - 4*p**2 - 2*p. Let g(y) = -9*a(y) - 2*q(y). Solve g(o) = 0 for o.
-1, 0, 1
Let m be (20/(-25))/((-2)/5). Suppose 0 = -2*f + 2*b - 7*b - 7, -6 = m*b. Factor f*a + 4 + a - 2*a**2 - 7*a.
-2*(a - 1)*(a + 2)
Factor -x**3 + 9*x**2 + 0*x**2 - 4*x**2 + 2*x - 6*x.
-x*(x - 4)*(x - 1)
Let x(z) = -z - 10. Let f be x(-7). Let b be ((-1)/f)/(3/18). Factor 2*i**4 - b*i**2 + 2*i**2.
2*i**4
Suppose 4*d - 8 = 3*v, 2*v + 10 = 5*d + v. Let s(l) be the third derivative of -1/3*l**3 + 1/60*l**6 - 1/12*l**4 - 2*l**d + 0*l + 1/30*l**5 + 0. Factor s(w).
2*(w - 1)*(w + 1)**2
Let -1/7*s**5 + 0 - 3/7*s**3 + 3/7*s**4 + 0*s + 1/7*s**2 = 0. Calculate s.
0, 1
Let v(x) = x**2 + x. Let l(i) = i**2 - 7*i - 12. Let o(n) = -2*l(n) + 6*v(n). Determine m so that o(m) = 0.
-3, -2
Let n be (-18)/195 - ((-184)/(-40) - 5). Let 0 - 2/13*d**2 + n*d = 0. Calculate d.
0, 2
Let d(v) = -v - 2. Let i be d(-5). Suppose 5 - i = k. Find p such that 10/7*p**4 + 0*p + 0 - 6/7*p**3 - 4/7*p**k = 0.
-2/5, 0, 1
Let p(n) be the third derivative of 0 + 1/6*n**5 + 1/15*n**6 + 0*n + 1/6*n**4 + n**2 + 0*n**3 + 1/105*n**7. Factor p(m).
2*m*(m + 1)**2*(m + 2)
Let y = 4 + -2. Suppose 2*b - b + b + 2*b + 4*b**y = 0. What is b?
-1, 0
Let v(k) = -11*k**2 + 17*k - 8. Let x(h) = 5*h**2 - 8*h + 4. Let o(z) = 4*v(z) + 9*x(z). Factor o(c).
(c - 2)**2
What is d in -2/15*d**4 + 8/15*d**3 + 8/15*d - 4/5*d**2 - 2/15 = 0?
1
Let f be (-8)/20 - (-3)/(-5). Let i(k) = k**4 - k**3 - k + 1. Let u(t) = -3*t**3 + t + 2. Let w(g) = f*i(g) + u(g). Factor w(p).
-(p - 1)*(p + 1)**3
Let z(n) be the first derivative of -n**5/90 - n**4/36 + 2*n**3/9 + n**2/2 - 3. Let a(u) be the second derivative of z(u). Factor a(s).
-2*(s - 1)*(s + 2)/3
Let p(h) be the third derivative of -h**8/1512 - 2*h**7/945 - h**6/540 - 2*h**2. What is c in p(c) = 0?
-1, 0
Let t be ((-3)/16)/(2/(-24)). Let i be 3 - (-9)/48*-12. Determine s, given that -11/4*s**3 - t*s - 15/4*s**2 - 1/2 - i*s**4 = 0.
-1, -2/3
Let o be (-74)/(-70) - (-36)/(-42). Factor o + 1/5*t**2 - 2/5*t.
(t - 1)**2/5
Let m(q) be the second derivative of -q**5/5 + q**4 - 4*q**3/3 - q. Factor m(l).
-4*l*(l - 2)*(l - 1)
Suppose -17 - 53 = -14*y. Solve 0*h + 2/3*h**y + 2*h**3 + 0 + 2*h**4 + 2/3*h**2 = 0 for h.
-1, 0
Let c(n) be the second derivative of -1/10*n**5 + 0*n**2 + 1/15*n**6 + 0*n**3 + 0 - 1/63*n**7 - 3*n + 1/18*n**4. Factor c(q).
-2*q**2*(q - 1)**3/3
Let z(u) be the first derivative of 8*u**6/3 + 4*u**5 - 3*u**4 - 20*u**3/3 - 2*u**2 + 2. Solve z(m) = 0 for m.
-1, -1/4, 0, 1
Suppose 0 = -2*v - 0*v. Let x(o) be the third derivative of o**2 - 49/540*o**6 - 4/27*o**3 + 2/9*o**4 - 7/90*o**5 + 0 + v*o. Factor x(a).
-2*(a + 1)*(