Factor p(c).
-c**2*(c - 1)/4
Suppose 26*p = 28*p - 4. Let 1/3*c**4 - 4/3*c**3 + 4/3*c**p + 0*c + 0 = 0. What is c?
0, 2
Let m(n) be the first derivative of 1/3*n**3 + 3 + 0*n + 0*n**2. Determine q, given that m(q) = 0.
0
Determine f, given that 0 - 288/13*f + 48/13*f**2 - 2/13*f**3 = 0.
0, 12
Factor 1/3 + 1/6*z**2 - 1/2*z.
(z - 2)*(z - 1)/6
Let a(j) be the third derivative of j**8/3360 - j**6/360 + j**4/24 + 3*j**2. Let d(w) be the second derivative of a(w). Solve d(u) = 0 for u.
-1, 0, 1
Let v(f) be the first derivative of 2*f**5/5 - f**4/2 - 10*f**3/3 - 3*f**2 + 44. Factor v(b).
2*b*(b - 3)*(b + 1)**2
Factor 4/3*o**3 - 4/3*o**2 - 2/3*o**5 - 2/3*o + 2/3*o**4 + 2/3.
-2*(o - 1)**3*(o + 1)**2/3
Let r(u) be the first derivative of 1/2*u**4 + 6 - 2/5*u**5 + 0*u**3 + 0*u**2 + 0*u. Factor r(b).
-2*b**3*(b - 1)
Let a(z) = 5*z**3 + z**2 - 8*z + 7. Let j(k) = 3*k**3 - 4*k + 4. Let n(p) = -4*a(p) + 7*j(p). Determine f, given that n(f) = 0.
0, 2
Let t(b) be the first derivative of b**7/315 - b**5/90 - 2*b**2 + 3. Let j(n) be the second derivative of t(n). Find d, given that j(d) = 0.
-1, 0, 1
Suppose 1 = -4*b + 9. Let k(j) be the second derivative of 0*j**3 + 1/105*j**7 - j + 0*j**b + 3/50*j**5 + 0 - 1/30*j**4 - 1/25*j**6. Factor k(c).
2*c**2*(c - 1)**3/5
Let a(f) be the second derivative of -f**8/2184 - 2*f**7/1365 - f**6/780 + f**2 - 7*f. Let x(y) be the first derivative of a(y). Factor x(r).
-2*r**3*(r + 1)**2/13
Let a = -4 - -6. Factor -2*s**a - 2 + 2 + 2*s.
-2*s*(s - 1)
Let u(a) = -a**2 + 12. Let g be u(0). Let p = g - 9. Factor 2/7*o**4 + 0 + 0*o + 0*o**2 - 4/7*o**5 + 2/7*o**p.
-2*o**3*(o - 1)*(2*o + 1)/7
Suppose -7*g = -3*g - 3*t - 21, 4*g + 5*t - 29 = 0. Suppose h = g*h - 15. Find j such that -h - 1 - 2*j + 0 + 2*j**2 = 0.
-1, 2
Let i(n) be the second derivative of n**7/294 - n**6/70 + n**5/70 - 11*n. Solve i(s) = 0.
0, 1, 2
Let c(r) = -7*r**2 + 12*r + 8. Let u(p) = p**2. Let k(s) = c(s) - u(s). Let k(l) = 0. Calculate l.
-1/2, 2
Let u = 77/10 - 15/2. Factor 0 + 1/5*c**2 + 0*c + u*c**3.
c**2*(c + 1)/5
Let v = -152 - -152. Let j(l) be the third derivative of -l**2 + v*l - 1/100*l**5 + 0 - 1/30*l**3 - 1/600*l**6 - 1/40*l**4. Find w, given that j(w) = 0.
-1
Let z(r) = 11*r**3 + 15*r**2 + 21*r + 5. Let u(k) = 65*k**3 + 90*k**2 + 125*k + 30. Let l(f) = 6*u(f) - 35*z(f). Factor l(s).
5*(s + 1)**3
Let q(s) = -s. Suppose -v + 3*v = 6. Let z be 12/(-5) - (-27)/(-45). Let g(i) = i**2. Let y(r) = v*g(r) + z*q(r). Solve y(b) = 0.
-1, 0
Let b(n) be the third derivative of n**7/2940 + n**6/420 - n**4/21 - n**3/3 + 3*n**2. Let k(j) be the first derivative of b(j). Factor k(y).
2*(y - 1)*(y + 2)**2/7
Determine g, given that 3/4*g**2 + 3/4 - 3/2*g = 0.
1
Let x be 4 - (2 - (-22)/12). Factor 0 - x*v**2 - 1/3*v.
-v*(v + 2)/6
Let a(n) be the first derivative of n**4/20 - n**3/15 - n**2/2 - 3*n/5 + 12. Determine g, given that a(g) = 0.
-1, 3
Let z(s) be the third derivative of s**8/2184 + s**7/1365 - s**6/390 - s**5/195 + s**4/156 + s**3/39 + s**2. Factor z(c).
2*(c - 1)**2*(c + 1)**3/13
Solve -2/17*r**5 + 432/17*r**2 - 216/17*r**3 + 0 + 36/17*r**4 + 0*r = 0 for r.
0, 6
Let q = 28 + -28. Let l(k) be the third derivative of 0*k - 1/180*k**5 + 0*k**3 + q + 0*k**4 + k**2. Factor l(x).
-x**2/3
Let x(i) be the second derivative of -5*i**4/3 + 65*i**3/6 - 15*i**2/2 - 11*i. Determine j so that x(j) = 0.
1/4, 3
Let 45*r**5 - 235/4*r**3 + 20 + 705/4*r**4 + 45*r - 165*r**2 = 0. What is r?
-4, -1, -1/4, 2/3
Let q(w) = -86*w**4 + 66*w**3 + 424*w**2 + 120*w. Let y(l) = -17*l**4 + 13*l**3 + 85*l**2 + 24*l. Let t(k) = -3*q(k) + 16*y(k). Factor t(v).
-2*v*(v - 3)*(v + 2)*(7*v + 2)
Let u(s) be the first derivative of -s**3/15 + s**2/5 - 2. Factor u(q).
-q*(q - 2)/5
Let l(k) = -k**4 + k**3 + k**2 - 1. Let a(j) = -j**4 - 4*j**3 - 14*j**2 + 10*j + 9. Let n(v) = -a(v) + 6*l(v). Find q, given that n(q) = 0.
-1, 1, 3
Let w = 3 + 0. Let b(a) be the second derivative of 0*a**2 + 1/12*a**3 - 1/16*a**4 + 0 + 1/80*a**5 - w*a. Determine z, given that b(z) = 0.
0, 1, 2
Let d be -4 - (90/(-12) - -2). Factor 3/2*h**2 + 0*h**3 - 3/4*h**5 + 3/4*h - d*h**4 + 0.
-3*h*(h - 1)*(h + 1)**3/4
Let a(k) be the second derivative of 1/3*k**2 + 3*k + 0 - 1/60*k**5 - 5/36*k**4 + 1/30*k**6 + 1/18*k**3. Solve a(r) = 0.
-1, -2/3, 1
Let m(s) be the third derivative of 0*s + 1/3*s**3 - 1/40*s**5 + 0 + 1/240*s**6 - s**2 + 1/16*s**4. Let o(u) be the first derivative of m(u). Factor o(k).
3*(k - 1)**2/2
Find v, given that 2/13*v**3 - 4/13 - 2/13*v + 10/13*v**2 - 6/13*v**4 = 0.
-1, -2/3, 1
Suppose 5 = 4*f - 4*q - 11, 0 = 2*f - q - 10. Factor -9*a**2 - 3/2 - f*a - 6*a**3 - 3/2*a**4.
-3*(a + 1)**4/2
Let k(c) be the second derivative of 16*c**6/45 - 4*c**5/3 + 11*c**4/6 - 10*c**3/9 + c**2/3 - 12*c. Determine h, given that k(h) = 0.
1/4, 1
Let c(m) be the first derivative of -m**6/9 - 2*m**5/5 - m**4/2 - 2*m**3/9 - 7. Factor c(l).
-2*l**2*(l + 1)**3/3
Factor 14*k**3 - 7*k**3 - 9*k**4 + 3*k**5 - k**3.
3*k**3*(k - 2)*(k - 1)
Let o be 120/54 - (-1 - -1 - -2). Factor o*w**2 + 2/9 - 4/9*w.
2*(w - 1)**2/9
Suppose 4*p + 9 - 1 = 0. Let m be (-8 - p)*(-3)/6. Factor -m - r - 1 - r**2 + 4.
-r*(r + 1)
Let -16/23*t + 2/23*t**5 + 14/23*t**3 + 2/23*t**2 + 8/23 - 10/23*t**4 = 0. Calculate t.
-1, 1, 2
Let g(i) = i**4 - 1. Let m(v) = -v**5 - 5*v**4 + v**3 + v**2 + 4. Let b(k) = 4*g(k) + m(k). Factor b(r).
-r**2*(r - 1)*(r + 1)**2
Let b = 8 - 4. Factor 6*p**3 + 0*p - 7*p**2 - 2*p**b + 0*p + 3*p**2.
-2*p**2*(p - 2)*(p - 1)
Factor 4/3*t**3 - 4/3*t - 4/3*t**2 + 4/3.
4*(t - 1)**2*(t + 1)/3
Factor -4/7*b**3 - 24/7 - 44/7*b - 24/7*b**2.
-4*(b + 1)*(b + 2)*(b + 3)/7
Let s(q) be the second derivative of 2*q**7/21 - 26*q**6/15 + 67*q**5/5 - 57*q**4 + 144*q**3 - 216*q**2 - 16*q. Factor s(u).
4*(u - 3)**3*(u - 2)**2
Let l(p) = -2*p - 2. Let z(k) = -k**2 + k + 2. Let w(n) = -6*l(n) - 4*z(n). Factor w(g).
4*(g + 1)**2
Let s(r) = -14*r**2 - 6*r - 17. Let j(q) = -5*q**2 - 2*q - 6. Let k be 686/(-42) - 4/6. Let o(v) = k*j(v) + 6*s(v). Factor o(u).
u*(u - 2)
Let s(p) be the second derivative of -p**7/42 + p**6/6 - p**5/5 - 4*p**4/3 + 16*p**3/3 - 8*p**2 - 40*p. Suppose s(n) = 0. What is n?
-2, 1, 2
Let m = 28 - 20. Suppose -m*f = -4*f. Factor f*c**2 + 2*c**2 - 3 + 1.
2*(c - 1)*(c + 1)
Suppose 3*u + 0*u = -5*w - 22, 2*u - 4*w = 0. Let c be 9/28 - u/16. Factor c*s + 2/7 - 4/7*s**3 - 2/7*s**4 + 0*s**2.
-2*(s - 1)*(s + 1)**3/7
Determine r, given that 6*r**2 + 3*r**3 + 10*r + 17*r**3 + 5*r**4 + 16*r**2 + 3*r**2 = 0.
-2, -1, 0
Let w(s) be the third derivative of 0 - 1/12*s**3 - 1/24*s**4 + 1/120*s**6 - s**2 + 1/420*s**7 + 0*s + 0*s**5. What is y in w(y) = 0?
-1, 1
Let o be (-2 - (-9)/6)*0. Suppose o = 3*x - 9. Factor 3 - 4 + c**5 + 0*c**5 + x*c**4 - 2*c**2 - 3*c + 2*c**3.
(c - 1)*(c + 1)**4
Factor -1/3*n**3 - n**2 + 0*n + 0.
-n**2*(n + 3)/3
Let b = 7 - -2. Let i = -4 + b. Let q(o) = -5*o**3 - o**2 + 2*o - 2. Let y(t) = 9*t**3 + t**2 - 4*t + 4. Let d(f) = i*q(f) + 3*y(f). Solve d(u) = 0 for u.
-1, 1
Let t(p) be the third derivative of 1/36*p**4 + 0*p + 1/540*p**6 + 0 + 1/27*p**3 + 1/90*p**5 - p**2. Let t(z) = 0. What is z?
-1
Let u(p) be the first derivative of -3/4*p**2 + 1/6*p**3 + p - 6. Factor u(h).
(h - 2)*(h - 1)/2
Let y(h) be the first derivative of h**8/2016 + h**7/420 + h**6/240 + h**5/360 - h**2/2 + 5. Let f(d) be the second derivative of y(d). Factor f(q).
q**2*(q + 1)**3/6
Let l(r) be the first derivative of 0*r - 3 + 0*r**2 + 3/2*r**4 + 6/5*r**5 + 2/3*r**3 + 1/3*r**6. Solve l(b) = 0 for b.
-1, 0
Let s(y) be the second derivative of -2*y**7/21 - 4*y**6/75 - 2*y - 1. Factor s(c).
-4*c**4*(5*c + 2)/5
Suppose -8/11 - 24/11*c - 10/11*c**2 = 0. What is c?
-2, -2/5
Let o(c) be the third derivative of c**9/241920 + c**8/80640 - c**7/20160 - c**6/2880 + c**5/15 - c**2. Let h(f) be the third derivative of o(f). Factor h(i).
(i - 1)*(i + 1)**2/4
Let o(a) be the third derivative of 0*a**4 + 1/90*a**6 - a**2 + 0*a + 1/315*a**7 + 0*a**5 + 0*a**3 - 1/168*a**8 + 0. Factor o(b).
-2*b**3*(b - 1)*(3*b + 2)/3
Factor 1/2*u**2 + 0 + 1/4*u**3 + 0*u.
u**2*(u + 2)/4
Suppose 0 = 3*n - 10 + 1. Suppose 5*v**4 + v**4 + 2*v**5 + 6*v**n - 2*v**2 + 4*v**2 = 0. Calculate v.
-1, 0
Let m(k) = 7*k**2 + 24*k - 54. Let n(a) = a**2 + 4*a - 9. Let o(s) = 6*m(s) - 39*n(s). Let x(r) = 3*r**2 -