Factor 3*c**5 - 3*c - 4*c**5 + c**2 + 3*c**4 + 3*c - m*c**3.
-c**2*(c - 1)**3
Let v(q) be the second derivative of q**5/20 - q**4/3 + 2*q**3/3 - q. Factor v(l).
l*(l - 2)**2
Let g(n) be the third derivative of n**8/3360 - n**7/630 + n**6/360 - n**4/12 - 3*n**2. Let o(x) be the second derivative of g(x). What is p in o(p) = 0?
0, 1
Let s(m) be the second derivative of m**8/6720 + m**7/840 + m**6/360 - 5*m**4/12 + m. Let i(u) be the third derivative of s(u). Factor i(d).
d*(d + 1)*(d + 2)
Let z(i) be the first derivative of 5*i**3/3 + 25*i**2/2 + 20*i + 2. Factor z(m).
5*(m + 1)*(m + 4)
Let p = 6 - 6. Let a be (-1 - p - -1)/(-3). Factor a*j + 0 + 2/11*j**2.
2*j**2/11
Let q(g) = g**3 - g**2 + 1. Let w(m) = -5*m**3 + 4*m**2 + m - 2. Let a(n) = 4*q(n) + w(n). Let y be a(0). Factor y*d**3 - d - 4*d - 4 - d.
2*(d - 2)*(d + 1)**2
Let x(u) be the first derivative of -45/8*u**4 - 1 - 1/2*u**3 - 57/10*u**5 + 3/2*u**2 + 0*u - 7/4*u**6. Factor x(j).
-3*j*(j + 1)**3*(7*j - 2)/2
Let h(y) = -2 + 0 - 2*y - 2 - 1. Let t be h(-4). Let -7/4*p - 1/2 + 5/4*p**4 + 7/4*p**t - 3/4*p**2 = 0. What is p?
-1, -2/5, 1
Let s(r) be the second derivative of r**6/35 - 4*r**5/35 + 2*r**4/21 + 2*r. Determine x, given that s(x) = 0.
0, 2/3, 2
Let i be 1/3 - (-70)/15. Suppose -5*j + i = 0, -3*d = -8*d + 2*j + 8. Factor t - 1/2*t**3 + 1/2*t**d + 0.
-t*(t - 2)*(t + 1)/2
Let w(r) be the second derivative of -r**4/36 + 2*r**3/9 - 2*r**2/3 + r. Factor w(q).
-(q - 2)**2/3
Let t(c) be the first derivative of c**3/2 - 3*c**2/4 - 3. Let t(a) = 0. Calculate a.
0, 1
Let p(y) be the first derivative of -y**4/36 + 2*y**3/9 - 2*y**2/3 - y - 2. Let g(a) be the first derivative of p(a). Determine i, given that g(i) = 0.
2
Let g(d) = -4*d**3 + d**2 + d - 5. Let q(k) = -3*k**3 + k**2 + k - 4. Let z(v) = 2*g(v) - 3*q(v). Let t be z(0). Factor 0*f - 1 - f**t + 2*f + 3 - 3.
-(f - 1)**2
Let g(o) be the second derivative of -2*o**7/105 + 2*o**6/75 + o**5/5 - o**4/15 - 16*o**3/15 - 8*o**2/5 + 6*o. Factor g(r).
-4*(r - 2)**2*(r + 1)**3/5
Let w(n) = n**4 + n**2 - 1. Let j(x) = -x**5 + 6*x**4 + x**3 + 4*x**2 - 5. Let f(o) = 3*j(o) - 15*w(o). Factor f(v).
-3*v**2*(v - 1)**2*(v + 1)
Let t(v) = -2*v**3 - 18*v**2 + 14*v + 6. Let m(h) = 2*h**3 + 7*h**3 - 17 - 41*h + 34*h**2 - 4*h**3 + 19*h**2. Let q(k) = 6*m(k) + 17*t(k). Factor q(y).
-4*y*(y - 2)*(y - 1)
Let z(j) be the third derivative of j**6/40 - j**5/15 - j**4/24 + j**3/3 - 4*j**2. Let z(q) = 0. What is q?
-2/3, 1
Let y(o) be the second derivative of 1/135*o**6 + 1/27*o**3 + 0*o**2 + 0 + 3*o + 1/30*o**5 + 1/18*o**4. Factor y(i).
2*i*(i + 1)**3/9
Suppose -c + 23 = 5*w, -2*c = w - 16 + 6. Factor 4/7*r**2 - 6/7*r + 2/7*r**5 + 4/7*r**c + 2/7 - 6/7*r**4.
2*(r - 1)**4*(r + 1)/7
Let h(i) be the second derivative of -i**6/15 - 3*i**5/10 - i**4/6 + i**3 + 2*i**2 - 5*i. Factor h(l).
-2*(l - 1)*(l + 1)**2*(l + 2)
Solve -5*f**2 - f**2 + 5*f**2 + 5*f**2 = 0 for f.
0
Suppose -2/17*m**2 + 0 + 10/17*m = 0. What is m?
0, 5
Factor f**5 + 0*f**3 - 6*f**3 + 2*f**5 - 4*f**4 + f**4.
3*f**3*(f - 2)*(f + 1)
Let b be (-1)/(((-9)/15)/3). Suppose -b*m + 5 = -5. Factor k**m - k**2 + 2*k**2 + 8 + 8*k.
2*(k + 2)**2
Let y = -205/3 - -69. Factor 2/3 + y*p**2 + 4/3*p.
2*(p + 1)**2/3
Let w(l) = 4*l**3 - 4*l**2 + l + 1. Let f be w(1). Factor 0*v**f + v**3 + 1/2*v**4 - 1/2 - v.
(v - 1)*(v + 1)**3/2
Suppose -g - 4 = -2*g. Let l(v) be the third derivative of -v**2 + 0*v + 0 - 1/96*v**g - 1/240*v**5 + 0*v**3. Factor l(q).
-q*(q + 1)/4
Suppose 2*v = 6*v. Solve -2*w - w**4 - 2*w + v*w**4 + 6*w**2 - w**4 = 0.
-2, 0, 1
Let t(m) be the third derivative of 0*m**3 + 0 + 4*m**2 + 0*m + 0*m**4 + 1/70*m**7 + 1/20*m**5 + 1/20*m**6. Find n, given that t(n) = 0.
-1, 0
Let o be ((-9438)/(-143))/(-5*2/(-4)). Solve -o*n**3 + 0 - 24/5*n**2 + 14*n**4 + 16/5*n = 0.
-2/5, 0, 2/7, 2
Let r be 4/(-1) + 3*16/6. Let x(t) be the first derivative of -2/3*t**3 + r - 1/2*t**4 + 2*t + t**2. Factor x(f).
-2*(f - 1)*(f + 1)**2
Suppose -20 = 4*y - 9*y. Factor 23*f**3 + 25/3*f**5 + 0 + 4/3*f + 70/3*f**y + 28/3*f**2.
f*(f + 1)**2*(5*f + 2)**2/3
Let u(m) be the third derivative of 0*m - 1/420*m**6 + 0 - 2*m**2 + 1/210*m**5 + 1/7*m**3 + 5/84*m**4. Factor u(d).
-2*(d - 3)*(d + 1)**2/7
Let d(p) be the second derivative of -5*p + 0 + 1/6*p**4 + 1/21*p**7 + 3/10*p**5 + 0*p**2 + 1/5*p**6 + 0*p**3. Let d(m) = 0. Calculate m.
-1, 0
Let n be (3/(-7))/(16/(-112)). Suppose 2/7*y**2 - 4/7*y + 0 + 4/7*y**5 + 12/7*y**n - 2*y**4 = 0. What is y?
-1/2, 0, 1, 2
Solve 33/5*j**2 - 24/5*j - 9/5*j**3 - 12/5 = 0.
-1/3, 2
Let o(p) be the first derivative of 2 + 0*p**4 + 0*p**2 + 0*p + 0*p**3 - 2/15*p**5. Factor o(f).
-2*f**4/3
Let j be (-22)/(-11)*4/2. Let b(l) be the first derivative of 0*l**3 - 2 - 1/18*l**6 + 0*l + 1/15*l**5 + 0*l**2 + 0*l**j. Suppose b(w) = 0. What is w?
0, 1
Factor -17/8*t + t**4 + 3/8 + 33/8*t**2 - 27/8*t**3.
(t - 1)**3*(8*t - 3)/8
Let q = 16 - 16. Let s(l) be the second derivative of -l + 0*l**2 - 1/15*l**3 + 1/30*l**4 + q. Let s(h) = 0. What is h?
0, 1
Let c(y) be the second derivative of y**4/24 - y**3/12 - y**2/2 - 26*y. Suppose c(i) = 0. Calculate i.
-1, 2
Let u(h) = -76*h**3 - 152*h**2 - 36*h + 16. Let n(x) = -51*x**3 - 101*x**2 - 24*x + 11. Let i(g) = 8*n(g) - 5*u(g). Determine l, given that i(l) = 0.
-1, 2/7
Let n be 38*(-4)/1008 + 2/9. Let r(t) be the second derivative of 0 + 1/84*t**4 - n*t**2 - 1/42*t**3 - 4*t + 1/140*t**5. Factor r(s).
(s - 1)*(s + 1)**2/7
Let d(p) be the second derivative of -p**4/60 + p**2/10 + 8*p. Find x, given that d(x) = 0.
-1, 1
Let r(f) = f**3 + 2*f**2 + 3*f + 3. Let m(u) = 2*u**3 + 2*u**2 + 4*u + 4. Let t(c) = 3*m(c) - 4*r(c). Find l such that t(l) = 0.
0, 1
Let c(p) be the first derivative of -3 + 54*p + 6*p**3 - 1/2*p**4 - 27*p**2. Determine r so that c(r) = 0.
3
Factor 592 + 235 + 2*j**3 + 294*j - 141 + 42*j**2.
2*(j + 7)**3
Let z(w) be the first derivative of -5*w**3/9 - w**2/6 + 2*w + 42. Let z(h) = 0. Calculate h.
-6/5, 1
Suppose k + 7*b - 11 = 10*b, 4*b + 12 = 0. Suppose 3/4*z**k - 1/2 - 1/4*z = 0. Calculate z.
-2/3, 1
Let d(v) be the third derivative of -v**7/1365 + 7*v**6/780 - v**5/26 + 3*v**4/52 - 38*v**2. Factor d(u).
-2*u*(u - 3)**2*(u - 1)/13
Let y(c) be the third derivative of 0*c**4 - 1/120*c**5 + 0*c**3 + 0*c + 0 + 8*c**2. Factor y(v).
-v**2/2
Let n(h) be the first derivative of -2/15*h**3 + 0*h - 2/25*h**5 + 0*h**2 - 3 + 1/5*h**4. Factor n(c).
-2*c**2*(c - 1)**2/5
Let p(z) be the third derivative of -z**10/11760 - z**9/35280 + z**8/15680 - z**4/8 + 8*z**2. Let m(u) be the second derivative of p(u). Factor m(y).
-3*y**3*(2*y + 1)*(3*y - 1)/7
Let y(p) be the second derivative of -p**5/100 + p**4/60 - 2*p. Solve y(s) = 0 for s.
0, 1
Let p(m) be the second derivative of -m**7/70 - m**6/5 - 6*m**5/5 - 4*m**4 - 8*m**3 - 48*m**2/5 + 4*m. Find a such that p(a) = 0.
-2
Let v be (-26)/(-8) - (3 - (1 + -1)). Find h, given that -1/4*h**3 + 1/4*h - 1/4*h**2 + v = 0.
-1, 1
Let r be (4 + -3)*1*5. Let t(q) = -q**4 - 6*q**3 - 12*q**2 - 7. Let z(i) = i**4 + 4*i**3 + 8*i**2 + 5. Let g(n) = r*t(n) + 7*z(n). Factor g(y).
2*y**2*(y - 2)*(y + 1)
Let b be 2/(-3) - 2180/(-882). Let a = b + -4/147. What is y in -14/9*y**2 + 46/9*y**3 - 32/9*y**5 - 14/9*y - 2/9 + a*y**4 = 0?
-1, -1/4, 1
Factor 10/3*c + 4/3 + 2/3*c**3 + 8/3*c**2.
2*(c + 1)**2*(c + 2)/3
Factor -6*n**3 - 8/3*n - 2/3*n**4 + 0 + 2/3*n**5 - 22/3*n**2.
2*n*(n - 4)*(n + 1)**3/3
Let j(t) be the third derivative of t**7/140 - 7*t**6/80 + t**5/5 + t**4 + 2*t**2 - 9*t. Factor j(f).
3*f*(f - 4)**2*(f + 1)/2
Let k(r) be the second derivative of -r**4/126 - r**3/63 + 2*r**2/21 + 3*r. Determine z, given that k(z) = 0.
-2, 1
Suppose 4*i - g - 3 - 14 = 0, -5*g - 31 = -2*i. Let z(k) be the first derivative of -k**2 - 3*k**i - 1 + 9/5*k**5 - 5/4*k**4 + 0*k + 7/6*k**6. Factor z(r).
r*(r - 1)*(r + 1)**2*(7*r + 2)
Solve 3*n**2 - 3*n**2 + 4*n**2 = 0 for n.
0
Let u(r) = -14*r**4 + 20*r**3 - 7*r**2 + r. Let x(w) = 0*w**2 + 21*w**3 - 15*w**4 - 7*w**2 + 2*w - w. Let t(n) = -6*u(n) + 5*x(n). Factor t(g).
g*(g - 1)*(3*g - 1)**2
Let w(d) = 6*d**5 - 7*d**4 + 24*d**2 + 11*d. Let j(i) = 3*i**5 - 3*i**4 + 12*i**2 + 6*i. Let p(z) = 11*j(z) - 6*w(z). Factor p(o).
-3*o**2*(o - 2)**2*(o + 1)
Let o(r) = r**3 - 2*r**2 - 3*r. Let a(n) = -n**3 + 3*n**2 + 4*n. Let t = 14 - 1