= 0.
-1, 1/4, 1
Let p(q) = q**2 + 5*q + 6. Let j be p(-3). Let v(w) be the first derivative of 1/27*w**6 + j*w**5 + 0*w**3 + 1/9*w**2 + 0*w - 1/9*w**4 - 1. Factor v(f).
2*f*(f - 1)**2*(f + 1)**2/9
Let s(z) be the first derivative of -z**7/840 + z**6/180 + 2*z**3 + 4. Let h(p) be the third derivative of s(p). Solve h(w) = 0 for w.
0, 2
Factor 0*o + 0*o**2 + 0*o**3 + 0 + 2/11*o**4 + 2/11*o**5.
2*o**4*(o + 1)/11
Determine g so that 1/3*g**2 + 0*g - 1/3 = 0.
-1, 1
Let w(a) = 18*a**2 + 12. Let k(h) = -h**2 - 1. Let s(d) = -15*k(d) - w(d). Suppose s(i) = 0. What is i?
-1, 1
Let q = 19 + -15. Suppose -3/4*l**5 - 3/4*l**3 + 3/2*l**q + 0*l + 0 + 0*l**2 = 0. What is l?
0, 1
Let s be -1 + 3 + -1 + 1. Factor -3 - 3*q - s*q**2 + q**2 + 9*q - 2*q**2.
-3*(q - 1)**2
Let b(w) be the first derivative of 0*w**4 - 1/15*w**6 + 0*w + 0*w**3 + 5 - 2/25*w**5 + 0*w**2. Factor b(c).
-2*c**4*(c + 1)/5
Let m(a) be the first derivative of -2 + 0*a + 1/8*a**4 - 1/6*a**3 + 0*a**2. Factor m(c).
c**2*(c - 1)/2
Let t(z) be the first derivative of -2*z**3/9 + 8*z**2/9 - 8*z/9 + 10. Find k, given that t(k) = 0.
2/3, 2
Let a(j) be the first derivative of j**5/330 - j**2/2 - j - 1. Let q(c) be the first derivative of a(c). Let t(s) be the first derivative of q(s). Factor t(b).
2*b**2/11
Suppose 4*l - m - 12 = m, 0 = 4*l - 5*m - 18. Factor -2/7*y**l + 2/7*y + 0.
-2*y*(y - 1)/7
Suppose 3*x = -0*x. Let y(c) be the third derivative of 0*c**3 + 1/36*c**4 + x*c + 0 - 1/90*c**5 + 1/315*c**7 - 3*c**2 - 1/180*c**6. What is k in y(k) = 0?
-1, 0, 1
Factor -u**3 - 9*u**2 + 0*u**3 - 2 - 3 - 22 - 27*u.
-(u + 3)**3
Let o be 8/48 - 1/(-18). Factor 0 + o*b**2 + 4/9*b.
2*b*(b + 2)/9
Let d(j) = -4*j + 2. Let p be d(0). Let t(m) be the third derivative of 0*m**3 + 0*m + 2*m**p + 0 + 0*m**4 - 1/30*m**5 - 1/60*m**6. Factor t(a).
-2*a**2*(a + 1)
Let x(l) be the third derivative of l**9/211680 - l**7/17640 - l**5/20 - 2*l**2. Let y(a) be the third derivative of x(a). Factor y(f).
2*f*(f - 1)*(f + 1)/7
Let r(c) be the first derivative of -1/28*c**4 - 1/14*c**2 + 2/21*c**3 + 0*c + 9. Factor r(f).
-f*(f - 1)**2/7
Suppose -t + 3*t = 20. Suppose -p + b - 6 = -5*p, 4*p - t = b. What is f in 2 - f - f + 56*f**p - 6 = 0?
-1/4, 2/7
Let j = -50 - -352/7. Let m be 0 + 3 - 3/3. Solve 2/7*f**m - 4/7 - j*f = 0.
-1, 2
Let m(q) be the second derivative of q**9/6048 + q**8/840 + q**7/280 + q**6/180 + q**5/240 + q**3/2 + q. Let a(o) be the second derivative of m(o). Factor a(p).
p*(p + 1)**4/2
Let h(o) be the first derivative of o**7/168 - o**6/60 + o**5/80 + 4*o + 1. Let m(v) be the first derivative of h(v). Factor m(i).
i**3*(i - 1)**2/4
Let f(h) be the first derivative of -3*h**5/80 + h**4/8 - h**3/8 + h**2/2 + 1. Let r(o) be the second derivative of f(o). Factor r(b).
-3*(b - 1)*(3*b - 1)/4
Let y be (1/(-9))/(4/132) + 4. Factor -y*t**2 + 0*t + 1/3.
-(t - 1)*(t + 1)/3
Let y(f) be the second derivative of 8*f**6/5 + 18*f**5/5 + f**4/4 - 3*f**3 + 3*f**2/2 + 5*f. Factor y(r).
3*(r + 1)**2*(4*r - 1)**2
Let i(z) = -z**3 + 7*z**2 + 9*z - 5. Let y be i(8). Let j = 3 - y. Suppose j*t**3 + 4*t**2 - 3*t**2 - t**3 = 0. What is t?
0, 1
Let y(h) be the first derivative of 6*h + 3/4*h**4 - 2*h**3 + 1 - 3/2*h**2. Factor y(n).
3*(n - 2)*(n - 1)*(n + 1)
Let f(q) be the second derivative of q**7/84 - q**5/40 - 39*q. Factor f(g).
g**3*(g - 1)*(g + 1)/2
Determine f, given that -197*f - 195*f + 34*f**4 - 9*f**2 - 42*f**3 + 31*f**2 - 10*f**5 + 388*f = 0.
0, 2/5, 1
Let m be -9*(16/(-6) - -2) - 3. Let p(c) be the second derivative of 0 + 7/12*c**4 + 1/18*c**6 + c + 1/3*c**2 - 11/18*c**m - 17/60*c**5. Factor p(z).
(z - 1)**3*(5*z - 2)/3
Let d(p) = p**2 + 2*p + 2. Let b be d(-2). Suppose b = i - 0. Let 11*l + l**i - 1 - 11*l = 0. What is l?
-1, 1
Let b(h) = -h**2 + 7*h + 6. Let v be b(6). Let z be (-8)/v*-3*1. Factor 3 - 3 + 2*o**z - 2*o**3 + 3*o**3.
o**2*(o + 2)
Let a(j) = -6*j**4 - 5*j**3 + j**2 + 5*j - 5. Let w(c) = -c**4 - c**3 + c - 1. Let h(l) = -3*a(l) + 15*w(l). Factor h(t).
3*t**2*(t - 1)*(t + 1)
Let q be (2 + 4)*36/8. Let s be (q/18)/((-9)/(-4)). Suppose 4/3*h**2 - 2/3*h**5 - 2/3*h**4 - s*h + 4/3*h**3 - 2/3 = 0. Calculate h.
-1, 1
Let d(f) = f**3 + f**2 - 11*f. Suppose -x = x - 3*s - 9, 3*s - 9 = -4*x. Let n(p) = -p - x*p + 3*p. Let i(u) = -2*d(u) + 22*n(u). Factor i(r).
-2*r**2*(r + 1)
Let i(l) = -l**3 + l**2 - l - 1. Let m(c) = 8*c**3 + 4*c + 4. Let g(r) = 4*i(r) + m(r). Determine p, given that g(p) = 0.
-1, 0
Let p(v) be the third derivative of v**6/30 + v**5/15 - v**4/6 - 2*v**3/3 + 7*v**2. Factor p(z).
4*(z - 1)*(z + 1)**2
Let u(w) be the second derivative of -w**7/630 + w**6/90 + w**5/10 + w**4/3 + 8*w. Let f(p) be the third derivative of u(p). Factor f(i).
-4*(i - 3)*(i + 1)
Let f(p) be the first derivative of -p**4/4 - p**3/3 + 33. Factor f(a).
-a**2*(a + 1)
Let r(i) be the second derivative of i**7/126 + 4*i**6/45 + 5*i**5/12 + 19*i**4/18 + 14*i**3/9 + 4*i**2/3 - i - 8. Find y, given that r(y) = 0.
-2, -1
Let v(i) = 3*i**5 + 2*i**3 + 2*i**2 + i + 2. Let g(d) = -d**5 - d**4 - d**3 - d - 1. Let j(s) = -2*g(s) - v(s). Let j(l) = 0. What is l?
-1, 0, 1
Let b(i) = -i**5 - 8*i**4 - 13*i**3 - 13*i**2 - 8*i + 2. Let j(u) = u**5 + 7*u**4 + 12*u**3 + 12*u**2 + 7*u - 1. Let z(c) = -2*b(c) - 3*j(c). Factor z(v).
-(v + 1)**5
Let u be 34/28 - (-5 - (-231)/49). Suppose u*x**2 - 3/4*x**3 + 0*x + 0 = 0. What is x?
0, 2
Let i(l) = -l**2. Let w(b) be the third derivative of -b**6/60 + b**2. Let v = -3 - -1. Let m(k) = v*i(k) - w(k). Factor m(t).
2*t**2*(t + 1)
Let s(u) be the second derivative of u**6/360 - u**4/24 - u**3/9 + 3*u**2/2 - u. Let m(x) be the first derivative of s(x). Factor m(r).
(r - 2)*(r + 1)**2/3
Let x(q) be the third derivative of -q**8/20160 + q**7/2520 - q**5/60 + 4*q**2. Let f(u) be the third derivative of x(u). Factor f(v).
-v*(v - 2)
Let d(h) = -25*h**3 + 153*h**2 - 164*h + 40. Let u(c) = 99*c**3 - 612*c**2 + 657*c - 159. Let r(k) = -15*d(k) - 4*u(k). What is g in r(g) = 0?
2/7, 1, 6
Suppose 22 = -3*b + 5*v, -2*v - 3*v + 24 = -b. Let x be b/(-1*(-2)/8). Factor -4*r**3 + 5*r**x - 3*r**4 + 0*r**3 + 2*r**2 + 0*r**3.
2*r**2*(r - 1)**2
Let o(m) be the first derivative of -2*m**4/9 - 2*m**3/3 - 2*m**2/3 - 2*m/9 - 17. Determine b so that o(b) = 0.
-1, -1/4
Let i be (-4)/6 - 303/(-9). Suppose -2*s = -4*p - s + i, 48 = 4*p - 4*s. Find c, given that 4*c**2 + c + 4*c**3 - p*c - 6*c**4 + 0 + 2*c**5 + 2 = 0.
-1, 1
Let k = 10 - 4. Let i = 9 - k. Determine g, given that -g - 2*g**2 - i*g + 5*g + g**3 = 0.
0, 1
Suppose 4*u + 0 + 4 = 0. Let v be 3 + u - 20/18. Find w, given that -2/9*w**2 + 2/9*w**4 + 0*w + 0 + 8/9*w**3 - v*w**5 = 0.
-1, 0, 1/4, 1
Let t(i) be the third derivative of i**5/210 - i**4/14 + 3*i**3/7 - 6*i**2. Factor t(o).
2*(o - 3)**2/7
Factor 76*z**5 - 3*z**3 - 151*z**5 + 78*z**5.
3*z**3*(z - 1)*(z + 1)
Determine u so that 4/5*u - 4/5*u**2 - 3/5*u**3 + 0 + 1/5*u**5 + 2/5*u**4 = 0.
-2, 0, 1
Let y be (-5)/(3/3) - -3. Let m(c) = -6*c**4 - 5*c**3. Let k(a) = -5*a**4 - 4*a**3. Let q(z) = y*m(z) + 3*k(z). Let q(o) = 0. Calculate o.
-2/3, 0
Let a(x) be the first derivative of -2*x + x**2 + 2/3*x**3 - 2 - 1/2*x**4. Let a(m) = 0. What is m?
-1, 1
Let i = -95 + 95. Solve 2/9*g**4 + i + 0*g**2 + 0*g + 0*g**3 = 0.
0
Let m(g) = -395*g**2 - 2*g + 1. Let r be m(1). Let y = 1986/5 + r. Find z, given that 0 - y*z - 3/5*z**3 + 9/5*z**2 = 0.
0, 1, 2
Let u(g) be the second derivative of g**7/2100 - g**6/450 + g**5/300 + g**3/6 + 2*g. Let x(m) be the second derivative of u(m). Factor x(q).
2*q*(q - 1)**2/5
Let h = -301 + 306. Solve 1/3*g**4 + 0*g + 1/3*g**3 + 0 - 1/3*g**2 - 1/3*g**h = 0.
-1, 0, 1
Suppose s = 1 + 1. Suppose s*d = -3*d + 15. Determine f so that -d*f - 2*f**3 - 3*f**2 - 1 - f**3 + 2*f**3 = 0.
-1
Let k(v) = 23*v**3 - 39*v**2 - 5*v + 21. Let a be 1/2*12*-1. Let w(m) = 11*m**3 - 19*m**2 - 2*m + 10. Let o(j) = a*k(j) + 13*w(j). Solve o(b) = 0.
-2/5, 1, 2
Factor -1/2*f - 1/8*f**2 - 3/8.
-(f + 1)*(f + 3)/8
Let b = 179/1146 - -2/191. Let c(w) be the first derivative of -1 + 1/10*w**5 + 0*w**2 - b*w**3 + 0*w**4 + 0*w. Factor c(y).
y**2*(y - 1)*(y + 1)/2
Let d(j) be the second derivative of 1/50*j**6 - 1/15*j**3 + 0*j**2 - 1/10*j**5 + 3/20*j**4 - j + 0. Factor d(q).
q*(q - 2)*(q - 1)*(3*q - 1)/5
Let j be ((-1)/(3/42))/(-6). Let b = j 