v**4 + 4/7*v**3 + 3/7*v**5 + 0*v = 0.
-2/3, 0, 2
Let s(h) be the first derivative of -2*h**6/3 - 8*h**5/5 + 8*h**4 - 8*h**3/3 - 14*h**2 + 16*h - 58. Let s(q) = 0. What is q?
-4, -1, 1
Let g be (-13)/1482*-12 - 14/1216. Let v(z) be the first derivative of -g*z**4 - 1/4*z**3 + 1 + 0*z**2 + 0*z. Determine p, given that v(p) = 0.
-2, 0
Solve 0 - 4/3*t**5 + 0*t**2 + 0*t + 4/3*t**3 - 2*t**4 = 0 for t.
-2, 0, 1/2
Let v(z) be the third derivative of -1/42*z**7 - 1/8*z**6 + 0*z - 1/4*z**5 - 5/24*z**4 + 0 + 0*z**3 - 16*z**2. Solve v(t) = 0.
-1, 0
Solve -28*v**4 + 23*v - 3*v**5 + 8*v**4 - v**2 - 10 - 20*v**3 + 37*v**2 - 6*v**2 = 0 for v.
-5, -2, -1, 1/3, 1
Let q(o) be the second derivative of 0*o**2 - 1/2*o**3 + 1/80*o**5 + 0 - 3/32*o**4 - 1/1440*o**6 - o. Let u(c) be the second derivative of q(c). Factor u(d).
-(d - 3)**2/4
Let q(r) be the second derivative of -r**6/165 + 21*r**5/110 - 20*r**4/11 + 100*r**3/33 - 2*r - 67. Factor q(p).
-2*p*(p - 10)**2*(p - 1)/11
Let w be (-5)/((-5)/(-6)) + 2 + 506/121. Find j, given that -8/11*j - 4/11*j**2 + 6/11 + 8/11*j**3 - w*j**4 = 0.
-1, 1, 3
Let x(f) = 5*f + 11. Let y(l) = 4*l + 9. Let s(m) = -5*x(m) + 6*y(m). Let b be s(-4). Factor b*r**4 + 0 - 6/5*r - 36/5*r**3 + 27/5*r**2.
3*r*(r - 1)**2*(5*r - 2)/5
Find c, given that -14662 - 71*c - 2*c**2 + 884 - 31*c - 216*c - 14*c = 0.
-83
Let k = -143 - -146. Suppose 29*z - 3*m = 25*z - k, -2 = -z - 2*m. Suppose 1/3*p**3 - 2/3*p**2 + 1/3*p + z = 0. What is p?
0, 1
Let t = 38 + -35. Determine y, given that 4*y**4 - 4 - 8*y + t + 8*y**3 - 3 = 0.
-1, 1
Let c(w) be the second derivative of 3*w**6/10 + 3*w**5/20 - 3*w**4/4 - w**3/2 + 50*w - 1. Factor c(s).
3*s*(s - 1)*(s + 1)*(3*s + 1)
Let x be (-4)/(-18) + (-968)/(-18) + 0. Let r be 3/x*-4 + 2/9. Factor 0*k**4 + r*k - 3/4*k**3 - 1/2*k**2 + 1/4*k**5 + 0.
k**2*(k - 2)*(k + 1)**2/4
Factor 0*v**2 + 2/9*v**3 - 8/3*v + 32/9.
2*(v - 2)**2*(v + 4)/9
Let n(c) be the third derivative of -c**8/6720 + c**7/560 + c**6/60 + 11*c**5/60 + 44*c**2. Let y(r) be the third derivative of n(r). Factor y(v).
-3*(v - 4)*(v + 1)
Let s(x) be the first derivative of -3*x**4/7 + 15*x**3/7 + 36*x**2/7 + 15*x/7 - 1. Solve s(l) = 0 for l.
-1, -1/4, 5
Let o(m) be the first derivative of -m**7/420 + m**6/540 - 4*m**3/3 - 3. Let w(a) be the third derivative of o(a). Find y such that w(y) = 0.
0, 1/3
Let m(w) = -749 - 11*w**2 + 727 - w - 2*w + w - w**3. Let s be m(-11). Factor -1/8*v**3 + 0*v + 1/4*v**4 + s + 0*v**2 - 1/8*v**5.
-v**3*(v - 1)**2/8
Suppose -17 = -2*s + 11. Let h = 17 - s. Suppose 3*z**h + 6*z**3 + 6*z**5 - 12*z + 12*z**2 - 3*z**5 - 12*z**4 = 0. Calculate z.
-1, 0, 1, 2
Let s = 342 + -1025/3. Let t(p) be the first derivative of 0*p + 2/5*p**2 + s*p**6 - 2 + 21/10*p**4 - 22/15*p**3 - 34/25*p**5. Factor t(q).
2*q*(q - 1)**3*(5*q - 2)/5
Suppose -3 = -u, 2*d = -u - 3 - 2. Let x be ((-1)/(-4) - (-30)/(-88))*d. Determine v, given that -x*v**2 + 0 - 6/11*v**3 + 10/11*v**4 + 0*v = 0.
-2/5, 0, 1
Let m(k) be the first derivative of 3*k**5 - 9*k**4/2 - 29*k**3 + 9*k**2 - 250. Find j such that m(j) = 0.
-2, 0, 1/5, 3
Let g be (11 - 3)*(-34)/(-51). Let -10/3*j**4 - 56/3*j + 12*j**2 + g + 14/3*j**3 = 0. Calculate j.
-2, 2/5, 1, 2
Suppose 0 = 2*g + 9 + 3. Let v be (-170)/(-4) + 3/g. Factor -8*z**2 + 54*z**3 - 22*z**3 + 2 + 18*z**5 - 2 - v*z**4.
2*z**2*(z - 1)*(3*z - 2)**2
Let d = 3511/3 - 1170. Find r such that -1/3*r**2 + d*r**4 + 0 - 1/3*r**3 + 1/3*r = 0.
-1, 0, 1
Let w(m) be the first derivative of -m**4/36 - 7*m**3/27 - 8*m**2/9 - 4*m/3 - 294. Suppose w(z) = 0. Calculate z.
-3, -2
Let o = 107 + -114. Let l be (-2)/o*2/(6/3). Find m, given that -2/7*m**2 - l*m + 0 = 0.
-1, 0
Let v(u) = 2*u**2 + 3*u + 1. Let c(o) = 4*o**3 - 196*o**2 + 26*o + 226. Let m(l) = -c(l) + 10*v(l). Let m(w) = 0. Calculate w.
-1, 1, 54
Let z(x) be the first derivative of x**4/4 + x**3/2 - x - 11. Let j(i) be the first derivative of z(i). Find t such that j(t) = 0.
-1, 0
Suppose -5*k + 0 = 2*r + 11, 0 = 3*k - 4*r - 9. Let z be ((-8)/(-16))/(k/(-8)). Factor 2*a**2 - z*a + 4*a - 5*a**2.
-3*a**2
Suppose 4*m = -5*a + 22, 8*a - 4*m = 3*a - 2. Factor -a*t**4 + t**2 + t + 0*t + 6*t**4 - t**3 - 5*t**4.
-t*(t - 1)*(t + 1)**2
Let x(b) be the first derivative of b**4/3 + 2*b**3/3 + 25*b - 3. Let g(v) be the first derivative of x(v). Factor g(z).
4*z*(z + 1)
Suppose 18*x - 46 = 62. Let y(z) be the third derivative of 1/90*z**x + 6*z**2 + 0 + 1/252*z**8 + 0*z**4 + 0*z**5 + 4/315*z**7 + 0*z**3 + 0*z. Factor y(p).
4*p**3*(p + 1)**2/3
Let s(w) be the second derivative of w**4/48 + w**3 - 2*w + 22. Suppose s(o) = 0. What is o?
-24, 0
Factor 80*l**4 - 53*l**3 + 9*l**2 - 67*l**3 + 36*l**2.
5*l**2*(4*l - 3)**2
Solve -8/9*o + 4/9*o**2 + 0 = 0.
0, 2
Let n(k) = 5*k**3 + 3*k**2 - 27*k - 41. Let q(r) = r**3 - r**2. Let y(w) = n(w) - 6*q(w). Let f(d) be the first derivative of y(d). Factor f(p).
-3*(p - 3)**2
Let y(b) be the first derivative of b**9/11592 + b**8/2760 + b**7/1932 + b**6/4140 + 3*b**3 + 10. Let h(r) be the third derivative of y(r). Factor h(f).
2*f**2*(f + 1)**2*(3*f + 1)/23
Let f(y) be the second derivative of 0*y**2 + 3/20*y**5 - 7/16*y**4 - 18*y + 0 + 1/10*y**6 + 1/4*y**3. Factor f(m).
3*m*(m + 2)*(2*m - 1)**2/4
Let k = -391 - -395. Let o(g) be the third derivative of 1/300*g**6 + 0*g + 0 + 1/75*g**5 + 0*g**3 + k*g**2 + 1/60*g**4. Suppose o(w) = 0. Calculate w.
-1, 0
Let o(s) = -40 + 9 + 15 + 15. Let q(r) be the second derivative of r**4/12 - r**3/2 + 5*r**2/2 + r. Let k(g) = -5*o(g) - q(g). Let k(b) = 0. Calculate b.
0, 3
Let p(j) be the first derivative of -1/20*j**4 - 6 - 1/10*j**2 - 2/15*j**3 + 0*j. Solve p(d) = 0 for d.
-1, 0
Let p(m) be the second derivative of 1/80*m**6 + 3/16*m**2 - 2*m + 0 - 1/16*m**4 - 1/336*m**7 + 1/80*m**5 - 1/48*m**3. Determine s, given that p(s) = 0.
-1, 1, 3
Suppose -z - 2 = -7. Let r(a) = 5*a**2 - 15*a + 10. Let u(b) = 5*b**2 - 16*b + 11. Let l(j) = z*u(j) - 6*r(j). Determine q, given that l(q) = 0.
1
Let j(s) be the third derivative of 1/294*s**8 + 0*s**3 + 0*s**4 + 0 + 1/105*s**5 + 0*s - 1/105*s**6 - 2/735*s**7 - 13*s**2. What is c in j(c) = 0?
-1, 0, 1/2, 1
Let p(m) be the third derivative of -m**9/9072 - m**8/2880 - m**7/3780 + 5*m**4/8 + 20*m**2. Let c(r) be the second derivative of p(r). Factor c(o).
-o**2*(o + 1)*(5*o + 2)/3
Let w = -5345/2 + 16423/6. Let g = 65 - w. Factor -1/3*v**2 - g - 2/3*v.
-(v + 1)**2/3
Determine h, given that -11/5 + 32/5*h - 6*h**2 + 1/5*h**4 + 8/5*h**3 = 0.
-11, 1
Let u(m) = -m. Let x be 0/(-1*(7 + -5)). Let i be u(x). Factor i - 2/11*h**2 + 2/11*h.
-2*h*(h - 1)/11
Let w(d) be the third derivative of -d**6/480 - d**5/40 - 5*d**4/96 - 61*d**2. Factor w(s).
-s*(s + 1)*(s + 5)/4
Let q(p) be the second derivative of -p**5/60 - p**4/36 + 2*p**3/9 + 2*p**2/3 + 2*p + 58. Let q(m) = 0. What is m?
-2, -1, 2
Factor -2/7*j**2 - 30/7*j + 32/7.
-2*(j - 1)*(j + 16)/7
Suppose 6 = -2*l + 10. Factor 5*f**2 - 4*f**2 - 16*f + 20 - 4*f**l - f**2.
-4*(f - 1)*(f + 5)
Let x(d) = -13*d**4 + 107*d**3 + 24*d**2 - 325*d - 239. Let r(l) = 84*l**4 - 696*l**3 - 156*l**2 + 2112*l + 1552. Let o(c) = 5*r(c) + 32*x(c). Factor o(v).
4*(v - 14)*(v - 2)*(v + 1)**2
Let a(c) be the second derivative of -c**7/3780 - 7*c**6/1080 - c**5/18 + 11*c**4/12 - 23*c. Let y(o) be the third derivative of a(o). Factor y(j).
-2*(j + 2)*(j + 5)/3
Let w(a) be the first derivative of 1/2*a - 8 + 1/2*a**3 + a**2. Factor w(s).
(s + 1)*(3*s + 1)/2
Suppose 4*l + s = -s + 18, 5*s = -5*l + 15. Let q = 11 - 7. Solve -14/3*v**q + l*v**3 + 0 - 4/3*v**2 + 0*v = 0.
0, 2/7, 1
Let b = -106034/5 - -21210. Factor -b + 4/5*h**2 - 8/5*h + 2/5*h**3.
2*(h - 2)*(h + 2)**2/5
Let c(w) = -w**3 + 2*w**2 + 1. Let d(n) = -12*n**3 + 8*n**2 + 28*n - 8. Let y(u) = -8*c(u) + d(u). Factor y(x).
-4*(x - 1)**2*(x + 4)
Suppose 8 - 6*j**3 - 7*j**3 + 16*j**3 - 10*j**2 + 4*j - 3*j**3 - j**5 - j**3 + 4*j**4 = 0. Calculate j.
-1, 2
Let y(i) = -i**2 - 5*i + 2. Let v(c) = -107*c**2 + 215*c**2 - 106*c**2 + 11*c - 3. Let t(w) = 2*v(w) + 5*y(w). Factor t(d).
-(d - 1)*(d + 4)
Let n(y) be the second derivative of -y**4/72 + y**3/6 + 92*y. Factor n(x).
-x*(x - 6)/6
Let o be 4/40*4 + 0. Let u = o + 4/15. Factor 0*k + u*k**2 - 2/3.
2*(k - 1)*(k + 1)/3
Let z = 5 - 3. Factor -6*a**3 + a**3 - 5*a**z + 0*a**3 + 3*a**4 + 6*a**2 + 