 v = 0. Find g such that 1/6*g**3 + 1/6*g**f - 1/6*g**4 - 1/6*g + 0 = 0.
-1, 0, 1
Let f = -247/30 - -53/6. Let n(q) be the first derivative of 3/10*q**2 + 0*q + f*q**3 + 9/20*q**4 + 2 + 3/25*q**5. Factor n(p).
3*p*(p + 1)**3/5
Let p(z) = 5*z + 7. Let q be p(-7). Let n be ((-7)/q)/(10/16). Factor 6/5*a**3 + 2/5 - n*a**2 - 6/5*a.
2*(a - 1)*(a + 1)*(3*a - 1)/5
Let a(g) be the second derivative of -g**4/6 + 8*g**3/3 - 7*g**2 - 42*g. Factor a(m).
-2*(m - 7)*(m - 1)
Let j(l) be the second derivative of -l**6/90 - l**5/15 - l**4/12 + 2*l**3/9 + 2*l**2/3 - 6*l. Factor j(a).
-(a - 1)*(a + 1)*(a + 2)**2/3
Suppose 2*f + 2*r + 12 = 2, -f + 25 = -5*r. Let f + 0 + 13*l**3 + 7*l + l**4 + 3*l**4 + 15*l**2 + 1 = 0. Calculate l.
-1, -1/4
Let u be 4/(-5) - (-609)/580. Let b be (-3)/(-9) + 10/6. Solve -3/2*w**b - 1/4 - u*w**4 - w**3 - w = 0 for w.
-1
Let a = 186 - 521/3. Let m = a + -12. Factor -1/3*l**4 - l**2 - l**3 - m*l + 0.
-l*(l + 1)**3/3
Let k(f) be the third derivative of -f**7/2520 - f**6/240 - f**4/6 - 2*f**2. Let b(w) be the second derivative of k(w). Solve b(x) = 0 for x.
-3, 0
Factor -27 + m**3 + m + 25 - 3*m + m**3 + 2*m**2.
2*(m - 1)*(m + 1)**2
Determine d, given that 6*d**2 - 466*d**2 + 1421*d - 196*d + 106 + 45*d**3 - 356 = 0.
2/9, 5
Let h(b) be the second derivative of -b**4/30 - b**3/5 - 2*b**2/5 + 5*b. Determine v so that h(v) = 0.
-2, -1
Let u(m) be the first derivative of 0*m + 8/21*m**3 - 4/7*m**2 + 8 - 1/14*m**4. Suppose u(o) = 0. Calculate o.
0, 2
Let s(o) = -o**4 + 4*o**3 - 8*o**2 + 5*o - 3. Let m(w) = -w**4 + 4*w**3 - 7*w**2 + 4*w - 2. Let y = 3 + -1. Let i(u) = y*s(u) - 3*m(u). Factor i(l).
l*(l - 2)*(l - 1)**2
Let q(r) be the third derivative of -r**6/72 + r**5/12 - 5*r**4/36 + 3*r**2. Suppose q(i) = 0. What is i?
0, 1, 2
Let j = 1253 - 16287/13. Factor j*s**3 + 0*s**2 - 2/13*s + 0.
2*s*(s - 1)*(s + 1)/13
Let f(o) be the first derivative of o**3/15 + o**2/5 + o/5 + 15. Factor f(j).
(j + 1)**2/5
Let f(k) = -27*k**3 + 74*k**2 - 35*k - 12. Let n(l) = l**2 - l. Let d be (-9)/6*2 + 4. Let c(r) = d*n(r) + f(r). Factor c(m).
-3*(m - 2)*(m - 1)*(9*m + 2)
Let c be 30/(-25)*(-4)/(-8) - -1. Suppose -3*q - c - 22/5*q**2 = 0. What is q?
-1/2, -2/11
Suppose 0 = -2*s - 5*t + 17, -3*s = -2*s - t + 9. Let m = -2 - s. Factor b**3 - 2*b**2 + b - m*b**2 + 6*b**2.
b*(b + 1)**2
Let f = 55 + -52. Factor -1/4*m + 0 - 1/4*m**f - 1/2*m**2.
-m*(m + 1)**2/4
Factor -7*a**2 + 4*a**2 - a**2.
-4*a**2
Suppose 3*m + m + 120 = 0. Let s be 1/3*m/(-35). Determine d, given that s*d**3 - 2/7*d**2 - 4/7*d + 0 = 0.
-1, 0, 2
Let u(k) be the third derivative of -k**5/330 + k**3/33 - 5*k**2. Factor u(y).
-2*(y - 1)*(y + 1)/11
Let r(w) be the second derivative of -w**7/2520 - w**6/540 + w**3/2 - 4*w. Let k(u) be the second derivative of r(u). Factor k(s).
-s**2*(s + 2)/3
Let o(a) = 9*a**3 + 14*a**2 - 17*a - 8. Let h(c) = -63*c**3 - 99*c**2 + 120*c + 57. Let p = 6 + -8. Let r(n) = p*h(n) - 15*o(n). Solve r(d) = 0 for d.
-2, -1/3, 1
Factor 4/5*x**5 + 4/5*x - 4/5*x**4 + 8/5*x**2 - 4/5 - 8/5*x**3.
4*(x - 1)**3*(x + 1)**2/5
Let z(f) be the third derivative of 3*f**2 - 1/15*f**5 + 1/24*f**4 + 0*f + 1/105*f**7 + 1/3*f**3 + 0 - 1/60*f**6 + 1/336*f**8. Factor z(m).
(m - 1)**2*(m + 1)**2*(m + 2)
Let b(m) be the first derivative of m**8/560 - m**7/168 + m**6/180 - m**3 + 1. Let z(l) be the third derivative of b(l). Factor z(j).
j**2*(j - 1)*(3*j - 2)
Let u(t) = -4*t**2 - t + 5. Let m(b) = -b**2 + 1. Let z(p) = -6*m(p) + u(p). Let z(l) = 0. Calculate l.
-1/2, 1
Let s(d) = d + 1. Let c(v) = v**2 + 3*v - 1. Let n be c(-3). Let a be s(n). Factor -2/3*w**4 + 0 + 0*w**2 + 2/3*w**3 + a*w.
-2*w**3*(w - 1)/3
Let h(j) be the third derivative of -j**8/336 + j**7/420 + j**6/80 - j**5/120 - j**4/48 - 11*j**2. Suppose h(m) = 0. What is m?
-1, -1/2, 0, 1
Let l(u) = 2*u - 2. Let p be l(2). Factor -8*c + c**p - c + 8*c.
c*(c - 1)
Let x = 29 - 25. Let n(g) be the third derivative of 0 - 1/24*g**6 + 1/12*g**x + 1/20*g**5 + 0*g - 2*g**2 + 0*g**3. What is p in n(p) = 0?
-2/5, 0, 1
Let k(z) = 8*z**4 - 15*z**3 + z**2 + 3*z - 3. Let c(q) = -16*q**4 + 31*q**3 - 3*q**2 - 5*q + 5. Let m(a) = 6*c(a) + 10*k(a). Factor m(o).
-4*o**2*(o - 2)*(4*o - 1)
Let q(p) be the second derivative of p**4/3 + 2*p**3/3 - 4*p**2 + 19*p. Factor q(o).
4*(o - 1)*(o + 2)
Let c(z) be the third derivative of -z**7/1680 + z**5/480 - 3*z**2. Factor c(t).
-t**2*(t - 1)*(t + 1)/8
Let d(j) be the second derivative of j**9/1512 - j**8/280 + j**7/140 - j**6/180 + j**3/6 - 2*j. Let z(h) be the second derivative of d(h). Factor z(m).
2*m**2*(m - 1)**3
Suppose -9 = 4*z + 5*q, 3*z + 27 = 4*q - q. Let y be z*(3 - (-21)/(-6)). Factor b**4 - 4 + b + 4*b**3 - 9*b + y*b**2 + 4*b.
(b - 1)*(b + 1)*(b + 2)**2
Let m(a) be the first derivative of a**5/270 + a**4/108 - 2*a**3/27 - 3*a**2/2 + 3. Let c(j) be the second derivative of m(j). Factor c(n).
2*(n - 1)*(n + 2)/9
Let t(a) be the third derivative of 4*a**2 + 1/45*a**5 + 0*a**4 + 0 - 1/180*a**6 + 0*a - 1/315*a**7 + 0*a**3. Let t(z) = 0. What is z?
-2, 0, 1
Suppose 5*m = -10*g + 13*g + 10, 0 = -g - 3*m + 6. Factor 3*d**2 + g - 6*d**3 + 0*d + 9/4*d**4.
3*d**2*(d - 2)*(3*d - 2)/4
Let y(j) be the second derivative of -j**6/30 - j**5/20 + j**4/6 - 43*j. Find p, given that y(p) = 0.
-2, 0, 1
Let g(d) be the second derivative of 1/24*d**3 + 4*d + 1/4*d**2 - 1/48*d**4 + 0. Factor g(l).
-(l - 2)*(l + 1)/4
Factor 0 - 1/2*p - 3/2*p**2.
-p*(3*p + 1)/2
Let m = 920/13 + -2637/65. Let d = 31 - m. Factor 2/5*c**4 + 2/5*c**2 + 0*c + 0 - d*c**3.
2*c**2*(c - 1)**2/5
Let v(z) be the first derivative of -4*z**2 + 12/5*z**3 + 2/25*z**5 + 16/5*z + 7 - 7/10*z**4. Let v(x) = 0. What is x?
1, 2
Let v(w) = -w**2 - 3*w. Let g(n) = n - 1. Let p(d) = -2*g(d) - 2*v(d). Factor p(u).
2*(u + 1)**2
Suppose 1 = -6*h + 25. Let f(y) be the third derivative of 0*y**3 + 0 + 1/240*y**5 + 1/48*y**h + 0*y + 3*y**2. Factor f(z).
z*(z + 2)/4
Let y(a) be the third derivative of 1/12*a**4 + 0*a + 0 - 4*a**2 + 0*a**3 - 17/120*a**6 + 2/21*a**7 - 1/12*a**5. Factor y(l).
l*(l - 1)*(4*l - 1)*(5*l + 2)
Let u be ((-224)/420)/(4/(-18)). Find y, given that u - 24/5*y + 9/5*y**2 = 0.
2/3, 2
Suppose -3*k + 11 - 2 = 0. Factor -3*i**k - 9*i**2 - 3 + 0*i - 7*i - 6*i + 4*i.
-3*(i + 1)**3
Let y be 1*4 + 14 + -16. Let q be (y/(-16))/(1/(-2)). Factor 3/4*z**3 - 3/4*z**2 + q*z - 1/4*z**4 + 0.
-z*(z - 1)**3/4
Factor 10*d**3 - 5*d**5 + 18 - 5*d**4 - 10 - 8.
-5*d**3*(d - 1)*(d + 2)
Factor -12 - 27*c**3 - 17*c**2 + 14*c**4 + 23*c**2 + 22*c - 3*c**3.
2*(c - 1)**3*(7*c + 6)
Suppose 2*p - 12 + 4 = 0. Suppose 15 = -f + p*f. Determine y, given that 0 + 0*y**4 + 1/2*y**3 - 1/4*y**f - 1/4*y + 0*y**2 = 0.
-1, 0, 1
Let p(t) = 108*t**3 - 261*t**2 + 201*t - 39. Let f(o) = 27*o**3 - 65*o**2 + 50*o - 10. Let d(k) = 9*f(k) - 2*p(k). Factor d(w).
3*(w - 1)*(3*w - 2)**2
Determine i so that 4/9*i - 2/3*i**2 + 0 + 2/9*i**3 = 0.
0, 1, 2
Find w such that -2*w + 2*w**2 + 12*w**3 + 13*w**3 - 2*w**4 - 23*w**3 = 0.
-1, 0, 1
Let z(t) be the second derivative of -t**7/105 - t**6/60 + t**5/30 + t**4/12 - 4*t**2 + 7*t. Let y(s) be the first derivative of z(s). Factor y(l).
-2*l*(l - 1)*(l + 1)**2
Let o(g) = -4*g**2 + 2*g. Let q(l) = l**3 + 9*l**2 - 5*l. Let u(c) = -5*o(c) - 2*q(c). Find z, given that u(z) = 0.
0, 1
Factor -2/11 + 2/11*z**4 + 4/11*z**3 - 4/11*z + 0*z**2.
2*(z - 1)*(z + 1)**3/11
Let l(b) = 7*b**2 - 3*b + 5. Let r(v) = 3*v**2 - v + 2. Let s(d) = -4*l(d) + 9*r(d). Factor s(q).
-(q - 2)*(q - 1)
Find i, given that 0*i**2 + 5 + 5*i + i**3 + 5*i**3 - 11*i**3 - 5*i**2 = 0.
-1, 1
Let g = 506 - 506. Determine w so that 2/9*w**4 + g*w**3 + 0 - 2/9*w**2 + 0*w = 0.
-1, 0, 1
Let s = 27/170 - 1/17. Let v(a) be the second derivative of 0*a**2 - 2/9*a**3 - s*a**5 + a + 0 - 5/18*a**4. Factor v(y).
-2*y*(y + 1)*(3*y + 2)/3
Let u be (-14)/(-15) - (96/20)/8. Factor u*k + 0 - 1/3*k**2.
-k*(k - 1)/3
Suppose -1/2*j**2 - 8 - 4*j = 0. Calculate j.
-4
Let p(a) be the second derivative of 0*a**3 + 1/72*a**4 + 0 - 9*a - 1/180*a**6 + 0*a**2 - 1/252*a**7 + 1/120*a**5. Factor p(q).
-q**2*(q - 1)*(q + 1)**2/6
Let m(s) be the second derivative of s**6/150 + s**5/25 + s**4/10 + 2*s**3/15 + s**2/10 - 35*s. Suppose m(p) = 0. Calculate p.
-1
Let l(u) be the first derivative of 0*u**2 - 1/30*u**4 + 1/15*u**3 - 2 + 2*u. Le