4/28 + q**3/14 + 10*q**2. What is v in u(v) = 0?
-1, -1/4, 1/3, 1
Let w = 173/252 + -13/28. Suppose 0 + 2/9*v**5 + 4/9*v**4 + w*v**3 + 0*v + 0*v**2 = 0. What is v?
-1, 0
Factor -2/3*k**2 + 34/9*k + 4/3.
-2*(k - 6)*(3*k + 1)/9
Let l(h) be the second derivative of h**5/10 - h**4/3 + 11*h. Determine b, given that l(b) = 0.
0, 2
Let n(h) be the third derivative of 1/12*h**4 + 0*h + 3*h**2 + 0 + 1/30*h**5 - 2/3*h**3. Let n(o) = 0. What is o?
-2, 1
Suppose -5*g = -l, 4*g + 3*l = 5*g. Let b(q) be the third derivative of g*q**3 + 1/240*q**6 + 0 + 0*q + 0*q**4 + q**2 + 1/120*q**5. Factor b(c).
c**2*(c + 1)/2
Let p(t) = -9*t**4 + 4*t**3 + 19*t**2 + 6*t - 4. Let r(k) = 19*k**4 - 9*k**3 - 39*k**2 - 11*k + 9. Let c(x) = 9*p(x) + 4*r(x). Factor c(a).
-5*a*(a - 2)*(a + 1)**2
Let x(c) be the second derivative of c**5/10 - c**4/2 + 2*c**3/3 + 9*c. Solve x(n) = 0.
0, 1, 2
Let z(o) be the second derivative of 7*o**6/300 - 3*o**5/50 + o**4/30 - 5*o**2/2 + 5*o. Let b(v) be the first derivative of z(v). Factor b(h).
2*h*(h - 1)*(7*h - 2)/5
Let t(r) be the second derivative of r**5/80 + r**4/16 + r**3/8 + r**2/8 + 6*r. Factor t(b).
(b + 1)**3/4
Let a = 809/18 - 89/2. Let t(x) be the first derivative of -3 + 5/9*x**2 + a*x + 4/27*x**3. Determine d, given that t(d) = 0.
-2, -1/2
Let f be (139/45 + -3)*(-10)/(-4). Let j(t) be the third derivative of -2*t**2 - 1/18*t**4 + 0*t - 1/180*t**5 - f*t**3 + 0. Suppose j(l) = 0. Calculate l.
-2
Let g = 888 + -8909/10. Let w = g - -17/5. Solve w*d**4 + d**3 + 0 + 1/2*d**2 + 0*d = 0 for d.
-1, 0
Let o(x) be the second derivative of 1/4*x**3 - 1/4*x**2 + 0 - 1/8*x**4 + 1/40*x**5 - 4*x. Factor o(b).
(b - 1)**3/2
Let h(q) be the first derivative of -4*q**5/25 + 2*q**4/5 + 4*q**3/15 - 4*q**2/5 - 16. Factor h(z).
-4*z*(z - 2)*(z - 1)*(z + 1)/5
Let n be (-5)/(210/(-222)) - 5. Factor 12/7*h + n*h**2 + 18/7.
2*(h + 3)**2/7
Let n(j) be the second derivative of j**7/630 - j**6/72 + j**5/30 - j**4/3 - j. Let k(c) be the third derivative of n(c). Suppose k(v) = 0. Calculate v.
1/2, 2
Let o(y) be the first derivative of 15/7*y**2 + 39/14*y**4 - 4/7*y - 4/5*y**5 - 76/21*y**3 - 1. Let o(h) = 0. Calculate h.
2/7, 1/2, 1
Let z(m) = -m**3 + m + 1. Let o(k) = k**4 + 10*k**3 - 9*k - 9. Let l(t) = -4*o(t) - 36*z(t). Factor l(n).
-4*n**3*(n + 1)
Let r(m) be the third derivative of -m**6/1080 - m**5/360 - m**3/6 - 4*m**2. Let i(f) be the first derivative of r(f). Find k, given that i(k) = 0.
-1, 0
Let a(u) be the first derivative of u**4/66 + 2*u**3/11 + 9*u**2/11 - 10*u - 10. Let g(c) be the first derivative of a(c). Factor g(k).
2*(k + 3)**2/11
Let w(z) = 12*z**2 + 15*z - 15. Let p(d) be the first derivative of -d**3/3 - d**2/2 + d + 1. Let a(v) = -15*p(v) - w(v). Factor a(j).
3*j**2
Suppose -22*q + 11*q + 33 = 0. Suppose x + x = 48. Solve 17/2*i - 10*i**4 - 1 - x*i**2 + 53/2*i**q = 0 for i.
1/4, 2/5, 1
Let y(g) be the first derivative of 0*g**3 - 4*g - 1/2*g**2 + 1/12*g**4 + 1. Let o(u) be the first derivative of y(u). Determine m so that o(m) = 0.
-1, 1
Let p(m) = m**3 - m**2. Let u be p(2). Suppose -8*k**2 + 3*k**3 + 0*k**4 - 2*k + u*k**4 + 4*k**4 - k**3 = 0. What is k?
-1, -1/4, 0, 1
Let k be 56/9 + (-8)/36. Let t be 4/6 + (-4)/k. Factor -1/4*b**2 + 1/4*b + t.
-b*(b - 1)/4
Let n(a) be the second derivative of 7*a**7/6 - 35*a**6/6 + 93*a**5/10 - 17*a**4/3 + 4*a**3/3 + 2*a. Suppose n(h) = 0. Calculate h.
0, 2/7, 1, 2
Let s be (-2)/(-3)*(-168)/16. Let y(p) = -2 + 7 + 0 - 2*p**2 + p. Let o(x) = -3*x**2 + x + 7. Let g(t) = s*y(t) + 5*o(t). Find j, given that g(j) = 0.
-2, 0
Let o(g) be the third derivative of -g**6/180 + g**5/60 - g**3/2 - 2*g**2. Let z(b) be the first derivative of o(b). Factor z(m).
-2*m*(m - 1)
Let q be (-6)/4*(-1 + -1). Factor -3*s**3 + 0*s**2 + s**2 - 3*s + 5*s + 0*s**q.
-s*(s - 1)*(3*s + 2)
Let g(y) = 3*y**2 - y + 2. Let r be g(-2). Suppose -4*p**3 - 1/2*p**4 - 12*p**2 - 8 - r*p = 0. What is p?
-2
Let b(t) be the first derivative of 0*t**4 - t**3 - 1 + t**2 + 1/5*t**5 + 0*t. Factor b(l).
l*(l - 1)**2*(l + 2)
Suppose 16*j + 12*j**2 - 13 + 13 + 76*j**2 + 50*j**4 + 140*j**3 = 0. Calculate j.
-2, -2/5, 0
Let k(s) be the second derivative of -s**7/1680 + s**5/240 - s**3/3 - 2*s. Let j(y) be the second derivative of k(y). Factor j(n).
-n*(n - 1)*(n + 1)/2
Let k be (-7 - -10)*96/126. Suppose 10/7*d**2 + k*d + 8/7 + 2/7*d**3 = 0. What is d?
-2, -1
Suppose 7*m - 30 = m. Factor 8*v + 7 - 6*v**2 + m*v**2 - 23.
-(v - 4)**2
Let j(k) be the second derivative of 1/20*k**5 + 6*k + 1/60*k**6 + 0 + 0*k**3 + 0*k**2 + 1/24*k**4. Factor j(t).
t**2*(t + 1)**2/2
Suppose 16 = 7*s - 3*s. Solve -s*g + 8*g**2 - 44*g**3 + 22*g**5 - 4*g**4 + 5*g - 4 + 8*g + 13*g = 0 for g.
-1, 2/11, 1
Let v(z) be the second derivative of -z**7/350 + z**6/200 + z**2 + 2*z. Let x(c) be the first derivative of v(c). What is b in x(b) = 0?
0, 1
What is l in 12/5*l**2 - 24/5*l - 2/5*l**3 + 16/5 = 0?
2
Suppose -4 = -4*j - 4*r - 0, -3*j + 2*r + 23 = 0. Factor -3*f + 1/3 + 26/3*f**2 - 9*f**4 - 6*f**3 + 9*f**j.
(f - 1)*(f + 1)*(3*f - 1)**3/3
Let r be 30*2/8*-2. Let q be (-10)/r*(-6)/(-14). Solve 0 + 2/7*d**2 + 0*d + q*d**3 = 0 for d.
-1, 0
Let r be -1*1/1 + 3. Factor o + 3*o**2 - 3*o**2 - r*o**2 + 3*o**2.
o*(o + 1)
Let z be (-1)/(-6) - (-102)/36. Factor -3*w**3 + 2*w**2 - 5*w**2 + 3*w**2 + z*w.
-3*w*(w - 1)*(w + 1)
Let a(s) be the second derivative of -s**4/18 - s**3/9 - 3*s. Factor a(c).
-2*c*(c + 1)/3
Suppose 0 = -4*j + 65 - 53. Factor 4*v**j + 8/3*v**2 + 0 + 0*v + 4/3*v**4.
4*v**2*(v + 1)*(v + 2)/3
Let s(m) = 3. Let o(w) = -w**3 + w + 5. Let y(v) = -3*o(v) + 5*s(v). Factor y(z).
3*z*(z - 1)*(z + 1)
Let t(p) = -44*p**3 + 116*p**2 - 106*p + 34. Let a(v) = 15*v**3 - 39*v**2 + 35*v - 11. Let c(y) = 20*a(y) + 6*t(y). Factor c(o).
4*(o - 1)*(3*o - 2)**2
Let k(g) be the first derivative of -g**4/4 + g**3/3 + g**2/2 - g - 10. Factor k(s).
-(s - 1)**2*(s + 1)
Suppose -28 = -3*y - 16. Let l(d) be the third derivative of 0 + 1/30*d**5 - 3*d**2 + 1/105*d**7 + 0*d - 2/3*d**3 - 1/20*d**6 + 1/4*d**y. Factor l(z).
2*(z - 2)*(z - 1)**2*(z + 1)
Let w(r) = 3*r**3 + 9*r**2 + 9*r - 1. Let d(v) = -v**2 + 9*v + 3*v**3 + 0*v**2 + 10*v**2. Let x(y) = 4*d(y) - 3*w(y). Factor x(l).
3*(l + 1)**3
Let f be (2/2)/(1/4). Suppose -4*g = -j - f, -j - 4*g + 16 = j. Suppose 1 - j*i + 6*i**2 + 1 - 4 = 0. What is i?
-1/3, 1
Let c(g) = g**3 + 9*g**2 - 5*g. Let n be -4 + (2 + 1)/(-3). Let f = -3 - n. Let z(q) = -4*q**2 + 2*q. Let t(a) = f*c(a) + 5*z(a). Factor t(v).
2*v**2*(v - 1)
Let q(n) be the third derivative of n**6/900 + n**5/75 + n**4/15 - n**3/6 - 5*n**2. Let i(k) be the first derivative of q(k). Factor i(o).
2*(o + 2)**2/5
Suppose 2*q - 24 = -6*q. Let r(h) be the third derivative of 0*h**q + 0 - 1/30*h**5 + 0*h - 3*h**2 - 1/12*h**4. Factor r(k).
-2*k*(k + 1)
Let s(b) be the third derivative of -b**9/161280 - b**8/13440 - b**7/2688 - b**6/960 - b**5/15 + 7*b**2. Let y(f) be the third derivative of s(f). Factor y(p).
-3*(p + 1)**2*(p + 2)/8
Suppose 29 = -2*i + 9. Let v be 4/(-10) + (-34)/i. Factor 5*a**3 - a**3 - 1 + v*a**2 - 2*a**3.
(a + 1)**2*(2*a - 1)
Suppose 24/11*w + 12/11*w**2 + 2/11*w**3 + 16/11 = 0. What is w?
-2
Let r(x) be the third derivative of x**8/15120 + x**7/7560 + x**5/20 + 4*x**2. Let l(p) be the third derivative of r(p). Find o such that l(o) = 0.
-1/2, 0
Let t(s) be the second derivative of -s**6/1800 + s**5/300 - s**4/120 + s**3/3 - 4*s. Let d(y) be the second derivative of t(y). Factor d(i).
-(i - 1)**2/5
Let d(p) = 3*p**2 - 3*p + 3. Let h be d(2). Let l = h - 6. Factor 15*i**2 + 6*i**l + 21*i + 3*i**3 + 6 + 9*i**2.
3*(i + 1)**2*(3*i + 2)
Let l(k) be the second derivative of 63*k**5/20 + 8*k**4/3 + 2*k**3/3 + 26*k. Factor l(p).
p*(7*p + 2)*(9*p + 2)
Let a(z) = 5*z**3 - 2*z + 1. Let r be a(2). Let 24*s**3 + 109*s**2 + 82*s + 11 + 3*s**4 - 37*s**2 + 14*s + r = 0. Calculate s.
-2
Let a(w) be the third derivative of -1/168*w**7 + 0 + 1/60*w**6 + 1/1344*w**8 + 0*w**3 - 1/60*w**5 + 0*w**4 + 0*w + w**2. Let a(i) = 0. Calculate i.
0, 1, 2
Let b be -3 + 69/12 - (-6)/(-3). Suppose 0 + 9/4*h**3 - 9/4*h**4 + 0*h - 3/4*h**2 + b*h**5 = 0. What is h?
0, 1
Suppose 7*y = 9*y. Suppose y = 2*z + 3*z. Solve 0*d**2 + z*d + 0 + 2/5*d**3 = 0 for d.
0
Suppose 0 = -10*z + 7*z. Let f(s) be the third derivative o