= 0. Calculate h.
-1, 1
Determine d so that 1/11*d**2 - 6/11*d + 9/11 = 0.
3
Let z(y) = -y**3 - 7*y**2 + 9*y + 2. Let m be z(-8). Let i = m - -6. Factor -8/9*o**3 + 0*o**2 + i + 8/9*o**4 + 0*o - 2/9*o**5.
-2*o**3*(o - 2)**2/9
Factor -4*z + 9*z**3 + 6*z - 11*z**3.
-2*z*(z - 1)*(z + 1)
Let n(p) be the first derivative of -3/2*p + 3/2*p**4 + 0*p**3 - 9/4*p**2 + 4. Factor n(j).
3*(j - 1)*(2*j + 1)**2/2
Let z(l) be the first derivative of 0*l + 0*l**2 - 1 + 2/15*l**3. Factor z(f).
2*f**2/5
Suppose 0 = 2*h - 2, -5*h + 2 = 5*u - 3*h. Factor u - 2 - 15*c + c**2 + 16*c.
(c - 1)*(c + 2)
Let b(c) be the third derivative of c**5/30 + 3*c**4/4 - 54*c**2. Determine j so that b(j) = 0.
-9, 0
Let k(o) be the third derivative of o**8/2520 + o**7/1260 - o**3/6 + o**2. Let c(v) be the first derivative of k(v). Solve c(l) = 0 for l.
-1, 0
Let u be 21/45 + (-3)/(-9). Let i(w) be the first derivative of 2 - 2/25*w**5 - 8/5*w + 2/5*w**3 - 1/5*w**4 + u*w**2. Factor i(b).
-2*(b - 1)**2*(b + 2)**2/5
Let z(u) be the second derivative of -u**7/105 - 2*u**6/75 + u**5/25 + 4*u**4/15 + 7*u**3/15 + 2*u**2/5 - 8*u. Factor z(f).
-2*(f - 2)*(f + 1)**4/5
Let f = -227 - -455/2. Find o such that f - 1/4*o - 1/4*o**2 = 0.
-2, 1
Suppose 4*m - 5*b + 14 = m, -4*m - b + 12 = 0. Factor 1/2*v**m + 0*v - 1/2.
(v - 1)*(v + 1)/2
Suppose 4*q - 3*v + 13 = 33, 3*v = -3*q + 15. Find t, given that -6*t + 2 + 6*t**3 - 9*t**4 + 15*t**2 - 3*t**2 - q = 0.
-1, -1/3, 1
Let i(a) be the second derivative of -a - a**4 + 0 - 1/15*a**6 - a**2 + 4/3*a**3 + 2/5*a**5. Solve i(t) = 0.
1
Solve 0 - 2/11*l**3 + 0*l - 6/11*l**2 = 0.
-3, 0
Let x be (-18)/30 + (-2161)/15. Let i = 146 + x. Factor -2/3*z**2 - 2/3*z + i.
-2*(z - 1)*(z + 2)/3
Let v(b) = -5*b**4 - b**3 + 3*b. Let o(s) = -s**4 + s**3 + s. Let m(a) = 3*o(a) - v(a). Find i such that m(i) = 0.
-2, 0
Factor -2*g + 0 - 2/3*g**2.
-2*g*(g + 3)/3
Let o(w) be the first derivative of -w**5/240 + w**4/48 + 2*w**2 + 3. Let g(z) be the second derivative of o(z). Factor g(u).
-u*(u - 2)/4
Let f(o) = o**4 + 3*o**3 + o**2 - 7*o + 6. Let v(j) = -3*j**4 - 5*j**3 - 3*j**2 + 15*j - 13. Let p(k) = -9*f(k) - 4*v(k). Determine z so that p(z) = 0.
-2/3, 1
Let y(t) = t + 7. Let g be y(-5). Factor 2 + 11*c**2 - 27*c + 4 + c**g.
3*(c - 2)*(4*c - 1)
Let a(i) be the second derivative of -1/21*i**4 + 0*i**5 + 0 + 0*i**2 + 1/147*i**7 - 1/21*i**3 + 2/105*i**6 + i. Factor a(w).
2*w*(w - 1)*(w + 1)**3/7
Let i be (-2)/(-2) - 1/3. Let j be 678/(-565)*10/(-18). Determine y, given that -i*y**3 + 4/3 + j*y - 4/3*y**2 = 0.
-2, -1, 1
Let x(c) be the second derivative of 1/20*c**5 + 1/2*c**2 + 0 + 1/4*c**4 + 1/2*c**3 - c. Factor x(b).
(b + 1)**3
Let j be -1 - ((-21)/2)/7. Factor -j*k - 1/2*k**2 + 1.
-(k - 1)*(k + 2)/2
Let r(x) = -x**3 - x**2 - 1. Let t(y) = -5*y**3 - 9*y**2 - 4*y - 3. Let o(n) = -3*r(n) + t(n). What is a in o(a) = 0?
-2, -1, 0
Let g = 521/700 + 1/175. Let o(r) be the first derivative of 1/6*r**3 + r + g*r**2 + 2. Find c such that o(c) = 0.
-2, -1
Let x = 15 - 7. Let y = 8 - x. Find f such that y*f + 2/9*f**2 + 0 + 2/9*f**5 + 2/3*f**3 + 2/3*f**4 = 0.
-1, 0
Let y(m) be the third derivative of -1/210*m**7 - 1/120*m**6 - m**2 + 0*m**5 + 0*m**3 + 0*m**4 + 0*m + 0. Determine v, given that y(v) = 0.
-1, 0
Let d(a) = -140*a**5 - 322*a**4 - 6*a**3 + 146*a**2 - 32*a. Let v(y) = -y**4 - y**3 - y**2. Let c(x) = -d(x) - 2*v(x). Find h, given that c(h) = 0.
-2, -1, 0, 2/7, 2/5
Let 5*j + 5/2*j**2 + 5/2 = 0. What is j?
-1
Let z be ((-1)/(-3))/((-1)/(-6)). Suppose -z*p - 2*p = 0. Suppose p - 1/2*h**3 + 1/4*h**5 + 0*h**2 + 1/4*h + 0*h**4 = 0. What is h?
-1, 0, 1
Let g(u) be the first derivative of u**3/21 + u**2/7 + u/7 + 5. Factor g(h).
(h + 1)**2/7
Let 2*x + 3*x**2 + 2*x + 4 + 2*x - x**2 = 0. What is x?
-2, -1
Suppose -2*g - 7*r = -5*r - 6, 5*g - 5*r - 15 = 0. Factor 15*j**3 + g*j - 24*j**3 - 3*j**4 + 9*j.
-3*j*(j - 1)*(j + 2)**2
Let k(d) = -d**3 + d**2 + 4. Let w(a) = -6*a**3 + 6*a**2 + 21. Let p(y) = 21*k(y) - 4*w(y). Determine q so that p(q) = 0.
0, 1
Let i(a) be the first derivative of a**7/252 - a**6/180 - a**5/120 + a**4/72 - 2*a - 3. Let o(v) be the first derivative of i(v). Factor o(f).
f**2*(f - 1)**2*(f + 1)/6
Let i(w) = -w**3 + 3*w**2 + 6*w + 1. Let v(d) be the second derivative of d**4/12 + d**3/6 + d**2/2 + d. Let u(g) = -i(g) + 3*v(g). Factor u(o).
(o - 1)**2*(o + 2)
Let j = -1 - -41. Let s = -159/4 + j. Factor -1/4 - 1/2*i**3 + 1/2*i**2 + 1/4*i - 1/4*i**4 + s*i**5.
(i - 1)**3*(i + 1)**2/4
Let z(t) = t**3 - t**2 - 2*t. Let g(c) = 2*c**2 + 2*c. Let w(n) = 3*g(n) + 2*z(n). Factor w(v).
2*v*(v + 1)**2
Let c be ((-4)/15)/(32/(-20)). Determine a, given that -1/6 + c*a**2 + 1/6*a - 1/6*a**3 = 0.
-1, 1
Let o(j) = -11*j - 22. Let u(a) = -5*a - 11. Let s(z) = -2*o(z) + 5*u(z). Let w be s(-5). Factor -2/5*t**5 + 0 - 2/5*t**2 + 0*t - 6/5*t**3 - 6/5*t**w.
-2*t**2*(t + 1)**3/5
Let p(c) = -c + 6. Let j be p(7). Let s be j/3*(1 + -7). Factor -7*m**s - 3 + 8*m + 5*m**2 - 3 - 2.
-2*(m - 2)**2
Let p(x) be the third derivative of x**6/1020 + x**5/510 - x**4/51 - 4*x**3/51 + 21*x**2. Factor p(o).
2*(o - 2)*(o + 1)*(o + 2)/17
Suppose 0*c - 3*c = 9. Let a = c - -7. Determine p, given that -2*p**a + 2 - 2*p**4 + p**2 - 5*p + p**4 + 5*p**3 = 0.
-1, 2/3, 1
Let g(s) be the third derivative of -1/7*s**4 + 4/21*s**3 + 0*s - 5/42*s**5 - 6*s**2 - 3/140*s**6 + 0. Factor g(p).
-2*(p + 1)*(p + 2)*(9*p - 2)/7
Let p = 13 - 8. Suppose u = -2*n + 3, -5*n + p = 2*u - 4. Find t such that -1/2 + 5/4*t + t**n + 11/4*t**2 = 0.
-2, -1, 1/4
Let y(g) = 2*g. Let r be y(3). Suppose -4 - r = -2*k. Factor 4*z**3 - k*z**3 + 2*z**2 - 3*z**3 + 2*z**4.
2*z**2*(z - 1)**2
Let l(j) be the first derivative of j**4/30 + 2*j**3/5 + 9*j**2/5 - 2*j - 4. Let v(c) be the first derivative of l(c). Factor v(a).
2*(a + 3)**2/5
Let y(n) be the first derivative of n**4/26 + 2*n**3/13 + 3*n**2/13 + 2*n/13 + 30. Factor y(c).
2*(c + 1)**3/13
Let x(m) be the first derivative of m**6/3 + 12*m**5/5 + 13*m**4/2 + 8*m**3 + 4*m**2 - 3. Factor x(k).
2*k*(k + 1)**2*(k + 2)**2
Let c = -125 - -128. Let b(q) be the third derivative of 0*q - 1/3*q**c + 3*q**2 - 1/24*q**5 + 1/4*q**4 + 0. Let b(s) = 0. What is s?
2/5, 2
Let c(o) = -o**3 - 2*o**2 - 3*o - 2. Let a be c(-1). Factor 1/5*z**2 + a + 2/5*z**3 + 0*z + 1/5*z**4.
z**2*(z + 1)**2/5
Suppose 12 + 20 = -4*a. Let h = -5 - a. Find d such that 2*d**2 + 2*d + 2/3*d**h + 2/3 = 0.
-1
Let a(x) = 10*x**3 + 35*x**2 + 30*x + 5. Let y(t) = -5*t**3 - 17*t**2 - 15*t - 3. Let p(g) = 2*a(g) + 5*y(g). Factor p(m).
-5*(m + 1)**3
Factor 0*f**2 + 0 - 4/3*f**3 + 14/3*f**4 + 0*f - 2*f**5.
-2*f**3*(f - 2)*(3*f - 1)/3
Let k(z) be the second derivative of -z**4/30 + 8*z**3/15 - 16*z**2/5 - 16*z. What is w in k(w) = 0?
4
Let s(j) be the first derivative of 2 + 1/9*j**3 + 0*j + 1/3*j**2. Let s(n) = 0. What is n?
-2, 0
Let f(z) be the second derivative of z**7/6 - z**6/15 - 21*z**5/20 + 5*z**4/3 - 2*z**3/3 + 6*z. What is k in f(k) = 0?
-2, 0, 2/7, 1
Factor 4/7*k**2 + 0 + 2/7*k.
2*k*(2*k + 1)/7
Let o = 433 + -431. Factor -8/11*u + 2/11*u**o + 8/11.
2*(u - 2)**2/11
Let g be 1435/280 - 5/((-2)/(-2)). Factor 1/8*o**2 + 0*o + 0*o**3 - g*o**4 + 0.
-o**2*(o - 1)*(o + 1)/8
Suppose -4*b - 3 = 3*c, -3*b - 6 - 12 = -3*c. Suppose 0*t**2 + 2/5 + 4/5*t**c - 2/5*t**4 - 4/5*t = 0. Calculate t.
-1, 1
Let r = 101953/157885 + 1/2429. Let z = 24/13 - r. Suppose -4/5*o**2 + z*o + 4/5 - 6/5*o**3 = 0. Calculate o.
-1, -2/3, 1
Let p(z) be the second derivative of -3*z**5/140 + z**4/14 + z**3/14 - 3*z**2/7 - 8*z. Factor p(c).
-3*(c - 2)*(c - 1)*(c + 1)/7
Suppose -2*j + 10049 = 3*j - 4*v, j + 4*v = 2029. Let d = j + -5941/3. Factor 8/3 + d*l**2 + 56/3*l.
2*(7*l + 2)**2/3
Let q(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 - 3 - 2/15*r**5 + 1/6*r**4. Factor q(j).
-2*j**3*(j - 1)/3
Suppose y = 5*y - 8. Solve -28*q**4 + 2 + 5*q**4 - 6 + 29*q**y - 2*q**4 = 0.
-1, -2/5, 2/5, 1
Let h(d) be the first derivative of -d**7/105 + d**6/30 - d**5/30 + 2*d**2 + 4. Let l(p) be the second derivative of h(p). Determine m so that l(m) = 0.
0, 1
Suppose 3*s = 5*a + 34, 4*s + a = 8*s - 17. Let b(x) be the second derivative of 0 + 2/3*x**3 + 0*x**2 - s*x - 1/6*x**4. Let b(d) = 0. What is d?
0, 2
Let v be -4 - ((-385)/10)/7. Factor 3/4*q**2 + 0 + v*q.
3*q*(q + 2)/4
Let b = 2