*4 + 0*g + 2/105*g**7 - 1/15*g**6 + 0 + 0*g**5 + g**2 + 0*g**3. Determine b so that z(b) = 0.
0, 2
Let n(x) be the second derivative of -x**6/15 - x**5/10 + x**4/3 + 6*x. Factor n(t).
-2*t**2*(t - 1)*(t + 2)
Let m(d) = -d**2 - 14*d - 18. Let z be m(-12). Suppose -z = -4*y + y. Suppose 0 - 1/2*q**3 - 1/2*q**4 + 1/2*q**y + 1/2*q = 0. What is q?
-1, 0, 1
Let r = 15 - -46. Factor -4*j**2 - r*j + 61*j.
-4*j**2
Let l(j) = 5*j**2 + 7*j. Suppose -3*w - 3*r - 2*r = 28, 2*w + 5*r = -22. Let x(q) = 9*q**2 + 13*q. Let a(f) = w*x(f) + 11*l(f). Factor a(t).
t*(t - 1)
Let p(i) be the third derivative of 2*i**2 + 1/150*i**5 + 1/15*i**3 + 1/30*i**4 + 0*i + 0. Suppose p(w) = 0. What is w?
-1
Let x be (-1)/(-3) + (-77)/(-66). Let b = x + 0. Find d such that -b*d**2 + 3/2 + 0*d = 0.
-1, 1
Let i(z) be the first derivative of z**5/20 - z**4/3 + 5*z**3/6 - z**2 - 4*z + 3. Let y(o) be the first derivative of i(o). Factor y(j).
(j - 2)*(j - 1)**2
Let a = 14 + -9. Let g = 7 - a. Find t such that g*t**2 + 14 - 6 - 2*t**2 + 2*t**3 - 6*t**2 = 0.
-1, 2
Let h(q) be the first derivative of -1 + 7/10*q**5 + 1/4*q**4 - 1/2*q**2 + 0*q - 7/6*q**3. Determine b so that h(b) = 0.
-1, -2/7, 0, 1
Let v = 12 - 12. Suppose -3 = 4*f + 3*g + 6, 2*g + 6 = -3*f. Factor -1/2*i**2 + v*i + f.
-i**2/2
Let c(d) be the second derivative of d**8/840 + d**7/420 - d**6/180 - d**5/60 - d**3/3 + d. Let b(u) be the second derivative of c(u). Factor b(p).
2*p*(p - 1)*(p + 1)**2
Let h be 4/14 - 38/(-14). Suppose -h*g + 1 = -11. Factor -2*i**2 - 6*i**3 + i**4 + 2*i**3 + 4*i + i**g.
2*i*(i - 2)*(i - 1)*(i + 1)
Let o be ((-12)/48)/((-28)/64). Find i, given that o*i**3 + 0 - 4/7*i + 2/7*i**4 - 2/7*i**2 = 0.
-2, -1, 0, 1
Let z(l) be the second derivative of 13*l**5/4 - 5*l**4/6 - 65*l**3/6 + 5*l**2 - l. Factor z(o).
5*(o - 1)*(o + 1)*(13*o - 2)
Let c(g) be the third derivative of 1/48*g**4 + 0*g + 0 + 1/24*g**3 + 1/240*g**5 + g**2. Factor c(t).
(t + 1)**2/4
What is h in 2/9*h**4 - 10/9*h**2 - 2/3*h + 0 - 2/9*h**3 = 0?
-1, 0, 3
Let j(p) be the first derivative of 11*p**2 + 5*p**2 + 2 + p**4 - 15*p**2 + 3*p**3. Suppose j(c) = 0. Calculate c.
-2, -1/4, 0
Let q(t) be the first derivative of -t**5/15 - t**4/12 + t**3/9 + t**2/6 + 7. Suppose q(g) = 0. What is g?
-1, 0, 1
Let k(i) be the third derivative of 3*i**7/350 + 2*i**6/25 + 29*i**5/100 + i**4/2 + 2*i**3/5 + 13*i**2. Suppose k(o) = 0. Calculate o.
-2, -1, -1/3
Let l(q) be the third derivative of q**5/20 + 11*q**4/8 - q**2 + 2. Find d such that l(d) = 0.
-11, 0
Let i(s) be the second derivative of -s**5/4 + 5*s**3/2 + 5*s**2 + 3*s. Find z such that i(z) = 0.
-1, 2
Suppose -6 = -2*f + 3*i + 1, 2*f - 3 = -i. Factor 2/5*j**f + 2/5*j + 0.
2*j*(j + 1)/5
Solve -1/6*t**4 + 1/2*t**3 + 0 + 1/6*t**2 - 1/3*t - 1/6*t**5 = 0 for t.
-2, -1, 0, 1
Let f = 291/8 - 21817/600. Let u(s) be the second derivative of 1/105*s**7 + 0 + 0*s**2 - 3/50*s**5 - 1/6*s**4 + f*s**6 + 3*s - 2/15*s**3. Factor u(h).
2*h*(h - 2)*(h + 1)**3/5
Let i(b) = 12*b**3 + 6*b**2 + 6*b - 8. Let g(h) = -h**3 + 1. Let t(m) = -m**2 + 10*m + 14. Let c be t(12). Let y(a) = c*g(a) - i(a). Factor y(j).
-2*(j + 1)**3
Let g = -62 + 187/3. Factor -1/3*n**2 + 0 - g*n.
-n*(n + 1)/3
Let u = 8 - -10. Let o = -5 - -7. Factor -u*x + 3*x**3 + 1 - x**o + 2*x**3 + 13*x.
(x - 1)*(x + 1)*(5*x - 1)
Let a(c) be the third derivative of c**7/30 - 23*c**6/300 - 3*c**5/100 + 2*c**4/15 + 2*c**3/15 + 11*c**2. Determine v, given that a(v) = 0.
-2/5, -2/7, 1
Let n(s) be the third derivative of -s**6/420 - s**5/105 - s**4/84 + s**2. Factor n(t).
-2*t*(t + 1)**2/7
Let k(y) be the third derivative of -y**8/168 + y**6/30 - y**4/12 + 5*y**2. Factor k(r).
-2*r*(r - 1)**2*(r + 1)**2
Let y(k) be the third derivative of 0*k + 0 + 3*k**2 + 1/15*k**4 - 1/150*k**5 - 4/15*k**3. Factor y(o).
-2*(o - 2)**2/5
Let o(l) be the third derivative of 0*l**4 + 0*l**3 + 1/60*l**6 + 0*l + 1/15*l**5 + 2*l**2 + 0. Suppose o(i) = 0. What is i?
-2, 0
Let m be -2 + 45/25 - 42/(-10). Let n(b) be the second derivative of b - 1/21*b**3 + 0*b**2 + 0 - 1/42*b**m. Factor n(g).
-2*g*(g + 1)/7
Let w(k) be the second derivative of -k**4/24 - k**3 - 9*k**2 + 9*k. Solve w(q) = 0.
-6
Let x(l) be the third derivative of l**6/120 - l**4/8 + l**3/3 - 8*l**2. Factor x(v).
(v - 1)**2*(v + 2)
Let g(q) be the third derivative of -q**7/525 + q**5/75 - q**3/15 + 6*q**2. Factor g(w).
-2*(w - 1)**2*(w + 1)**2/5
Let t(s) be the second derivative of s + 1/2*s**2 + 1/12*s**4 + 0 + 0*s**3 + 1/30*s**5. Let h(w) be the first derivative of t(w). Factor h(l).
2*l*(l + 1)
Let v(i) be the second derivative of -i**6/195 - i**5/65 - i**4/78 + i. Let v(c) = 0. What is c?
-1, 0
What is p in 26/3*p**2 - 5/3*p - 3*p**5 + 3*p**4 - 1 + 46/3*p**3 = 0?
-1, -1/3, 1/3, 3
Let m = -487/70 + 71/10. Factor 3/7*d**3 + 0 - m*d**2 - 3/7*d**4 + 1/7*d**5 + 0*d.
d**2*(d - 1)**3/7
What is b in -2*b**2 + 21*b + 192 + 12*b**2 - 7*b**2 + 27*b = 0?
-8
Let z = 2/385 - -241/27720. Let l(d) be the second derivative of -4*d - z*d**4 + 1/6*d**3 + 0 - 3/4*d**2. Solve l(m) = 0.
3
Let b = -7 - -15. Factor -6 + b*d**5 - 7*d**5 + 9*d - 12*d**3 + 2*d**5 + 6*d**2.
3*(d - 1)**3*(d + 1)*(d + 2)
Let k(a) be the second derivative of -a**4/18 + 2*a**3/9 - a**2/3 + 11*a. Solve k(n) = 0.
1
Let t(p) be the third derivative of p**5/240 - p**4/48 - p**3/8 + p**2. Suppose t(y) = 0. Calculate y.
-1, 3
Let s(t) be the second derivative of -1/48*t**4 + 1/2*t**2 + 0*t**3 + 0 - 1/30*t**5 + 2*t. Let y(d) be the first derivative of s(d). Factor y(g).
-g*(4*g + 1)/2
Factor 6/7*u - 8/7 + 2/7*u**2.
2*(u - 1)*(u + 4)/7
Find z such that 0 + 3/4*z + 1/4*z**2 = 0.
-3, 0
Let a(f) be the second derivative of 3*f**7/7 + 16*f**6/5 + 44*f**5/5 + 32*f**4/3 + 16*f**3/3 + 11*f. Find t, given that a(t) = 0.
-2, -2/3, 0
Let f(j) = 2*j**2 + 3*j + 3. Let n be f(-2). Let k(h) = -h**3 + 5*h**2 + 2. Let w be k(n). Let -v**5 - 2 + 2 - w*v**2 + 2*v**4 + v = 0. What is v?
-1, 0, 1
Let f(m) = m**2 + 5*m - 3. Let k be f(-6). Let o be (-3)/((135/10)/(-9)). Factor 2*z**k - 8*z**2 - 2*z**4 + 8*z**o.
-2*z**3*(z - 1)
Suppose -10*w + 8*w + 12 = 0. Let x(s) be the first derivative of -4/15*s**3 - 1/15*s**w + 1/5*s**2 + 0*s**4 + 1 + 4/25*s**5 + 0*s. Factor x(h).
-2*h*(h - 1)**3*(h + 1)/5
Factor 7*q**3 + q**5 - 5*q**5 - 11*q**3 - 8*q**4.
-4*q**3*(q + 1)**2
Let x be 10/16*(-38)/(-95). Find n, given that 0 + 1/4*n**2 + x*n = 0.
-1, 0
Let j(m) be the first derivative of -m**6/480 + m**4/32 - m**3/3 - 2. Let w(c) be the third derivative of j(c). Solve w(o) = 0 for o.
-1, 1
Factor 192/5*t**2 - 32/5*t**3 + 2/5*t**4 + 512/5 - 512/5*t.
2*(t - 4)**4/5
Let y(u) be the third derivative of -2/27*u**3 + 0 - 4*u**2 + 0*u - 1/54*u**5 + 7/108*u**4. Factor y(b).
-2*(b - 1)*(5*b - 2)/9
Let y = 256/393 - -2/131. Factor -1/3*p**3 + y + 1/3*p - 2/3*p**2.
-(p - 1)*(p + 1)*(p + 2)/3
Let j(a) be the first derivative of -a**3/18 - 2*a**2/3 - 8*a/3 + 12. Solve j(n) = 0 for n.
-4
Let o be (1 + -1)/(-1 - -3). Let i be o + 0 + 28/35. What is a in 2/5 - 4/5*a**3 + i*a - 2/5*a**4 + 0*a**2 = 0?
-1, 1
Let g(u) = u**5 - u**4 - u. Let k(y) = 5*y**5 - 5*y**4 - 2*y**3 + 2*y**2 - 3*y. Suppose 3*t - 5 = 8*t. Let p(x) = t*k(x) + 3*g(x). Factor p(a).
-2*a**2*(a - 1)**2*(a + 1)
Suppose -5*v + 3*a = -22, -a + 4*a = 4*v - 20. Suppose 0 = -i - 0*t + 4*t - 20, 4*t - 20 = 3*i. Factor i + 2/5*d**v + 2/5*d.
2*d*(d + 1)/5
Let h = 44 + -38. Let r(q) be the second derivative of 0 + 0*q**2 - 1/30*q**5 + q + 1/36*q**4 + 1/90*q**h + 0*q**3. Factor r(k).
k**2*(k - 1)**2/3
Let c(f) = -f + 8. Let l be c(4). Suppose 5*j + 1 = -l*v + 4, 5*v + 2*j = 8. Let 4*s**3 + s**3 - s**3 + v*s**2 + 2*s**4 = 0. Calculate s.
-1, 0
Let b(j) be the second derivative of -1/10*j**5 + 3/2*j**2 + 1/6*j**4 + 0 + 1/3*j**3 + j. Let v(z) be the first derivative of b(z). Factor v(s).
-2*(s - 1)*(3*s + 1)
Suppose b + 4*b = 5. Let b + 2*p - 1 + 3*p**2 - 2*p**3 - 7*p**2 + 4 = 0. Calculate p.
-2, -1, 1
Let a(w) be the first derivative of -w**6/18 + w**5/15 + w**4/12 - w**3/9 + 2. Suppose a(s) = 0. What is s?
-1, 0, 1
Let a = 66 + -659/10. Let z(u) be the first derivative of 0*u - 1/5*u**2 + 0*u**3 + a*u**4 - 2. Factor z(p).
2*p*(p - 1)*(p + 1)/5
Suppose 3*v - 2 = 10. Factor p**2 - v*p**2 - 3*p**2 + 21*p**3.
3*p**2*(7*p - 2)
Determine i so that 21/11*i**3 - 2/11*i**4 + 20/