9*p**3 - x*p**2 + 0 = 0. What is p?
0, 1
Suppose -3*s + 15 = 3*a, s - 4*a + 2*a = -10. Suppose s*c = 2*c, 0 = 4*m + 4*c - 20. What is q in 0*q**2 + 0*q + 2/11*q**m + 0 + 4/11*q**4 + 2/11*q**3 = 0?
-1, 0
Determine t, given that -t**2 + t**3 - 6*t**2 + 3*t**2 - 3*t**3 - 2*t = 0.
-1, 0
Let t(u) be the third derivative of 1/54*u**4 + 0*u + 0*u**3 - 5*u**2 - 1/30*u**5 + 0 + 7/540*u**6. Let t(h) = 0. Calculate h.
0, 2/7, 1
Factor 3*s**2 + 2/5*s + 24/5*s**3 - 16/5*s**4 + 0.
-s*(s - 2)*(4*s + 1)**2/5
Factor -14/15*l**2 - 4/15 + 6/5*l.
-2*(l - 1)*(7*l - 2)/15
Let j(k) be the second derivative of -k**4/8 - k**3 - 8*k. Determine h so that j(h) = 0.
-4, 0
Suppose 0 = -3*j - 3*s - 42, -2*j - 3*j - 50 = -5*s. Let z be (3/j)/((-3)/4). Solve -z*m**2 + m - 2/3 = 0 for m.
1, 2
Let t = 2416/9 - 389/3. Let k = 139 - t. Find r such that k*r - 2/9*r**3 + 0 + 0*r**2 = 0.
-1, 0, 1
Let h(x) = x**2 - 6*x + 4. Let s be h(6). Suppose 8 = -s*q, 2*q - 6*q - 6 = d. Factor -2/5*v**4 + 2/5 + 0*v**d - 4/5*v**3 + 4/5*v.
-2*(v - 1)*(v + 1)**3/5
Suppose 0 = -2*s - 23 + 59. Let z be (-6 - -10) + s/(-5). Factor 1/5 + 1/5*q**2 + z*q.
(q + 1)**2/5
Let b be (-1 + 3)/6 - (-528)/360. Factor -6/5*l**2 + b*l**3 - 3/5*l + 0.
3*l*(l - 1)*(3*l + 1)/5
Factor 0*y + 3*y - 1 + 1 - 3*y**2.
-3*y*(y - 1)
Let o(u) = -5*u**3 - 2*u**2 - 3*u - 2. Let y be o(-2). Let q be y/8 - 1/2. Solve 8*a**2 + 16/3*a + q*a**3 + 2/3*a**4 + 0 = 0 for a.
-2, 0
Let l = 105 + -102. Let i(v) be the first derivative of -1/14*v**4 + 0*v**2 + 4/21*v**l + 0*v - 1. Determine q, given that i(q) = 0.
0, 2
Let l(z) = -z**3 - 2*z + 2. Let f = 17 + -17. Let k be l(f). Factor -50/9*a**k - 2 + 20/3*a.
-2*(5*a - 3)**2/9
Let a(o) be the second derivative of -1/540*o**6 + 1/3*o**3 + 0 + 3*o + 0*o**2 + 1/18*o**4 - 1/180*o**5. Let u(d) be the second derivative of a(d). Factor u(w).
-2*(w - 1)*(w + 2)/3
Let i = -97 + 100. Let t(a) be the second derivative of a + 0 - 1/5*a**2 - 1/30*a**4 - 2/15*a**i. Determine u so that t(u) = 0.
-1
Suppose -2*f - 6 + 10 = 0. Find j, given that -5/3*j**f - 4/3 - 1/3*j**3 - 8/3*j = 0.
-2, -1
Let c(a) = -2*a. Let f be c(-2). Let l = 147/76 + -13/19. Factor w + 0 + 1/4*w**f + l*w**3 + 2*w**2.
w*(w + 1)*(w + 2)**2/4
Let h = -28 + 30. Let w(v) be the first derivative of 0*v + 0*v**h - 2/21*v**3 - 3. Factor w(j).
-2*j**2/7
Let z(y) be the third derivative of 1/100*y**5 + 0 + y**2 + 0*y**4 + 0*y**3 + 0*y + 1/200*y**6. Factor z(a).
3*a**2*(a + 1)/5
Let r(x) be the third derivative of -x**6/170 - x**5/102 + x**4/102 + x**3/51 + 9*x**2. Solve r(a) = 0 for a.
-1, -1/3, 1/2
Let d(j) be the first derivative of -6 - 1/16*j**4 - 1/6*j**3 - 1/8*j**2 + 0*j. Factor d(v).
-v*(v + 1)**2/4
Solve -14/5*u + 4/5 + 6/5*u**2 = 0.
1/3, 2
Let n(g) be the first derivative of 3*g**5 + 5*g**4/4 - 25*g**3/3 - 5*g**2/2 + 10*g + 2. Solve n(h) = 0.
-1, 2/3, 1
Let g(b) = 3*b**3 - 1. Let s(n) = n**3 + 7*n**2 + 1. Let h be s(-7). Let y be g(h). Let 0*o - 5*o**3 - 2*o - o**2 - 6*o**y = 0. What is o?
-1, -2/5, 0
Let i be 1/((-2)/(-6)*1). Suppose 4*u - 2*t + 7 = -7*t, 5*t + 23 = 4*u. Let 7*b**u - 11*b**i - 2*b**2 + 4*b**3 + 2*b = 0. Calculate b.
-2/7, 0, 1
Let p(q) be the third derivative of -q**8/112 - 2*q**7/35 - q**6/10 + q**5/10 + 5*q**4/8 + q**3 - 8*q**2. Factor p(n).
-3*(n - 1)*(n + 1)**3*(n + 2)
Let m be (2/(-3))/(5/15). Let v be 2*(2 + m/4). Factor 0*w**3 - 4*w**4 + 5*w**v - 4*w**3.
-w**3*(4*w - 1)
Suppose -2/5*o**3 - 8/5 - 16/5*o - 2*o**2 = 0. Calculate o.
-2, -1
Let h be 15/3*(-24)/(-20). Suppose -3*k - 3 = -3*q + h*q, 0 = 5*q - 3*k - 19. What is x in 0 - 14/5*x**q - 4/5*x**3 + 4/5*x + 14/5*x**4 = 0?
-1, 0, 2/7, 1
What is t in -109 - 5*t**3 - 3*t**2 + t + 109 + 3*t**4 + 4*t**5 = 0?
-1, 0, 1/4, 1
Let s(h) = h - 16. Let p be s(11). Let l(y) = -y**4 - 2*y**2 - 3. Let i(x) = 2*x**4 + 3*x**2 + 5. Let r(o) = p*l(o) - 3*i(o). Factor r(q).
-q**2*(q - 1)*(q + 1)
Let c(z) be the first derivative of z**6/10 + 3*z**5/20 - 3*z**4/4 - z**3/2 + 3*z**2 + z - 2. Let m(o) be the first derivative of c(o). Factor m(f).
3*(f - 1)**2*(f + 1)*(f + 2)
Let k(a) be the second derivative of a**5/210 + a**4/42 - a**2 - 2*a. Let n(y) be the first derivative of k(y). Solve n(h) = 0 for h.
-2, 0
Let d(a) = 3*a**2 + 5*a. Let z be (-4)/6*45/6. Let r(o) = -2*o**2 - 3*o. Let m(k) = z*d(k) - 8*r(k). Let m(n) = 0. What is n?
0, 1
Let 23*p**3 + 27*p**3 + 6*p**5 - 25*p + 10 + 9*p**5 - 50*p**4 = 0. Calculate p.
-2/3, 1
Let -v**4 + 10*v**3 - 7*v**3 - v**4 + 5*v**4 - 3*v**5 - 3*v**2 = 0. Calculate v.
-1, 0, 1
Let q(y) be the first derivative of -4*y**5/25 + 3*y**4/5 - 4*y**3/15 - 6*y**2/5 + 8*y/5 + 9. What is n in q(n) = 0?
-1, 1, 2
Let f(j) be the second derivative of 0*j**3 + 0 + 2/21*j**7 + 0*j**4 + 0*j**5 - 6*j - 2/15*j**6 + 0*j**2. Factor f(k).
4*k**4*(k - 1)
Let r(s) be the third derivative of -s**5/12 + 5*s**4/3 - 40*s**3/3 + 3*s**2. Factor r(z).
-5*(z - 4)**2
Suppose -4 = 6*a - 7*a. Suppose -x + 4*j = -8, -x = 3*x + 2*j + a. Factor 0 + 4/7*t**2 + x*t - 6/7*t**3.
-2*t**2*(3*t - 2)/7
Let h = 264/13 + -1796/91. Let -h*w - 2/7*w**2 - 2/7 = 0. Calculate w.
-1
Let q(a) be the first derivative of -a**3/3 + a**2/2 - 1. Suppose q(h) = 0. Calculate h.
0, 1
Let n be (-490)/(-84) - 1/(-6). Factor 15*x**3 - 4*x + x**4 + x**3 + 2*x**2 - n*x**4 + 15*x**4.
2*x*(x + 1)**2*(5*x - 2)
Suppose -2*s - 7 + 11 = 0. Let a(h) be the third derivative of 0 + 1/6*h**4 - 1/3*h**3 - 2*h**s + 0*h - 1/30*h**5. Determine i, given that a(i) = 0.
1
Let y = -12 + 19. Let i be (21/6)/y*8. Factor 1/4*u + 0 - u**2 + 1/4*u**5 - u**i + 3/2*u**3.
u*(u - 1)**4/4
Let x = 89/20 - 17/4. Let m(b) be the second derivative of -1/21*b**7 + 1/3*b**4 + b**3 + 3*b - 1/5*b**5 + b**2 - x*b**6 + 0. Suppose m(j) = 0. What is j?
-1, 1
Let f be (-34)/(-42) - (-7)/21. Let y be 4/5*(-20)/(-28). Factor 2/7*j**3 + 10/7*j - f*j**2 - y.
2*(j - 2)*(j - 1)**2/7
Let d be 2/(-2) + -2 - -7. Let l(n) be the second derivative of 0*n**3 + 0 - 2*n + 1/126*n**7 + 1/60*n**5 + 0*n**2 + 0*n**d - 1/45*n**6. Solve l(z) = 0 for z.
0, 1
Factor -6 - 3/2*p**2 - 6*p.
-3*(p + 2)**2/2
Determine o so that -16/7*o - 12/7*o**3 + 2/7 + 26/7*o**2 = 0.
1/6, 1
Let s(r) = 3*r**2 - 6*r. Let z = 9 - 16. Let w(l) = 3*l**2 - 7*l. Let u(h) = z*s(h) + 6*w(h). Factor u(o).
-3*o**2
Let u(m) = m**2 + 18*m + 17. Let j be u(-17). Let b be ((-10)/5)/(-12 + j). Find z such that -1/6*z**2 + b*z**3 - 1/6*z + 0 + 1/6*z**4 = 0.
-1, 0, 1
Let y(s) be the third derivative of -s**6/480 - s**5/240 + s**4/48 + 2*s**2. Factor y(n).
-n*(n - 1)*(n + 2)/4
Let a = 139/3 - 46. Let o(s) be the first derivative of 0*s**3 - a*s**2 + 1 + 1/6*s**4 + 0*s. Let o(z) = 0. What is z?
-1, 0, 1
Factor 5*p**2 - 3*p - 4*p**2 - 3*p**3 + 5*p**2.
-3*p*(p - 1)**2
Let a be (-3)/2*32/(-12). Let k(r) be the third derivative of 0*r**3 + 0*r**a + 0*r**6 - r**2 + 1/30*r**5 + 0 + 0*r - 1/105*r**7. Factor k(o).
-2*o**2*(o - 1)*(o + 1)
Let l(n) be the first derivative of 4/3*n**3 - n**2 - n - 6 + 1/2*n**4 - 3/5*n**5. Determine b, given that l(b) = 0.
-1, -1/3, 1
Solve -3*h**2 - 2*h**5 + 10*h**3 - 8 + 0*h**5 - 16*h + 2*h**4 + h**2 + 0*h**5 = 0 for h.
-1, 2
Factor -u**2 + 0 - 2/5*u - 4/5*u**3 - 1/5*u**4.
-u*(u + 1)**2*(u + 2)/5
Let p(c) be the first derivative of -c**7/42 - c**6/90 + c**5/12 + c**4/36 - c**3/9 - c - 6. Let g(y) be the first derivative of p(y). Solve g(u) = 0 for u.
-1, 0, 2/3, 1
Let q(m) = -m**2 + 22*m - 117. Let j be q(10). Solve 3/2*g**2 + 3/4*g**5 - 3/2*g**4 + 0*g**j + 0 - 3/4*g = 0 for g.
-1, 0, 1
Suppose 5*z + 15 = 0, 2*g + 4*z + 5 = -z. Suppose -g*c = u - 5, 2*c - c = 2*u - 10. Factor p**4 + 0*p + c + 0*p**2 - 1/3*p**3.
p**3*(3*p - 1)/3
Let k(h) be the first derivative of 23/12*h**3 + 49/24*h**6 - h - 119/20*h**5 - 2*h**2 + 67/16*h**4 - 2. Factor k(j).
(j - 1)**3*(7*j + 2)**2/4
Let z = -376/3 + 126. Suppose 4*j**2 + 16/3 - z*j**3 - 8*j = 0. What is j?
2
Let n(v) be the second derivative of -v**7/2520 + v**6/720 + v**5/60 - 5*v**4/12 + 5*v. Let f(t) be the third derivative of n(t). Factor f(u).
-(u - 2)*(u + 1)
Let s(t) be the third derivative of 0 + 0*t**3 + 7*t**2 - 1/1260*t**7 - 1/240*t**6 - 1/180*t**5 + 0*t**4 + 0*t. Suppose s(j) = 0. Calculate j.
-2, -1, 0
Suppose -4*b - p - 5 = 4*p, 0 = -b - 4*p - 4. Suppose i**3 - 2 - 5*i**2 - i**2 + b*i**2 + 6*i + i**3 = 0. Calculate i.
1
Factor 18466*j 