the first derivative of p(y). Suppose k(t) = 0. What is t?
0, 3/2
Suppose 2*d = 2, -3 - 2 = -l - d. Factor -6*b + 10 - 7 - 5 - l*b**2.
-2*(b + 1)*(2*b + 1)
Let t(n) be the second derivative of -3*n**6/10 - 83*n**5/20 - 51*n**4/4 - 31*n**3/2 - 7*n**2 + 7*n - 20. Factor t(c).
-(c + 1)**2*(c + 7)*(9*c + 2)
Let m(i) be the first derivative of i**4/8 - i**3/2 - 3*i**2/2 + 4*i + 22. Factor m(f).
(f - 4)*(f - 1)*(f + 2)/2
Let f = -18205 - -18207. Factor 57/7*a - 12/7*a**3 - 33/7*a**f - 12/7.
-3*(a - 1)*(a + 4)*(4*a - 1)/7
Let h(g) = -g**2 + 10*g - 22. Let d be h(5). Factor 2/7*y**d + 4/7 + 8/7*y**2 + 10/7*y.
2*(y + 1)**2*(y + 2)/7
Let r be (7/(-21))/((-9)/108). Let q(v) be the second derivative of -2*v**3 + 1/3*v**r + 4*v**2 + 0 - 2*v. Determine s, given that q(s) = 0.
1, 2
Let b = 2749/15 + -183. Let j(u) be the first derivative of 0*u + 1/5*u**2 + 1/10*u**4 - b*u**3 - 7. Factor j(x).
2*x*(x - 1)**2/5
Let z(f) be the second derivative of 1/20*f**4 + 0 + 19*f + 1/5*f**3 + 0*f**2. Factor z(m).
3*m*(m + 2)/5
Suppose 125 = -142*v + 167*v. Let w(l) be the third derivative of -1/165*l**v + 0*l**3 + l**2 - 1/132*l**4 + 0*l - 1/660*l**6 + 0. Factor w(y).
-2*y*(y + 1)**2/11
Factor -128/7*w - 2048/7 - 2/7*w**2.
-2*(w + 32)**2/7
Let y(z) be the third derivative of z**8/112 + z**7/14 + z**6/5 + z**5/5 + 6*z**2. Factor y(d).
3*d**2*(d + 1)*(d + 2)**2
Let d be (0 - (0 - 1)) + (-165 - -166). Factor 8/3*n**3 - d*n**4 + 0*n + 8/3*n**2 + 0.
-2*n**2*(n - 2)*(3*n + 2)/3
Let b(i) be the second derivative of 0 + 1/14*i**7 + 0*i**4 + 0*i**2 + 1/5*i**6 + 16*i + 0*i**5 + 0*i**3. Factor b(y).
3*y**4*(y + 2)
Let v(r) be the third derivative of -r**7/70 - r**6/8 - 2*r**5/5 - r**4/2 - 125*r**2 - 2*r. Find x such that v(x) = 0.
-2, -1, 0
Let x(f) = -f**3 - 6*f**2 + 8*f + 7. Let q be x(-7). Suppose q = 6*t - 2*t - 12. Factor 9*l**t - l**2 - l - 2*l**2 - 8*l - 6*l**4 + 6 + 3*l**4.
-3*(l - 2)*(l - 1)**2*(l + 1)
Let g = 45 + -34. Suppose -7*y + g*y = 12. Let -j**2 + 0*j + 0 - 5/2*j**y = 0. What is j?
-2/5, 0
Find q, given that 12*q**2 - 1500 - 2*q**2 + 1490 - 5*q**5 - 15*q + 20*q**3 = 0.
-1, 1, 2
Factor 48/7*x + 1/7*x**3 + 0 + 16/7*x**2.
x*(x + 4)*(x + 12)/7
Suppose -3*o + 16 = o. Suppose -2 - 10 = -o*t. What is a in -3*a**4 + 3*a**4 - t*a**2 - 2*a**4 + 5*a**4 = 0?
-1, 0, 1
Let g(s) = -s**3 + 205*s**2 - 342*s - 8. Let f(r) = -r**3 + 136*r**2 - 228*r - 5. Let n(d) = -8*f(d) + 5*g(d). Factor n(x).
3*x*(x - 19)*(x - 2)
Determine v, given that 39/4 - 3*v**2 - 153/4*v = 0.
-13, 1/4
Let k(g) be the first derivative of -5*g**4/4 - 10*g**3 + 45*g**2/2 + 70*g + 675. Let k(n) = 0. What is n?
-7, -1, 2
Let z(u) = 3*u**3 - 2*u**2 + u. Let h be z(1). Solve 253 - 253 - 2*k**h + 0*k + 8*k = 0.
0, 4
Let s(o) be the second derivative of 13*o**4/102 + 9*o**3/17 + 2*o**2/17 + 11*o. Solve s(z) = 0 for z.
-2, -1/13
Let r(f) be the first derivative of f**6/2 + 54*f**5/5 + 81*f**4 + 216*f**3 - 601. Factor r(a).
3*a**2*(a + 6)**3
Let j be (-7 + 6)/(99/51 + -2). Suppose j*d = 6*d + 44. Factor 4/7*u**3 + 2/7*u**2 + 0*u + 2/7*u**d + 0.
2*u**2*(u + 1)**2/7
Factor -173*l**2 + 27*l - 57*l**2 + 188*l + 1203*l**3 - 599*l**3 - 599*l**3 + 450.
5*(l - 45)*(l - 2)*(l + 1)
Let u(b) = b**3 - 5*b**2 - 5*b. Let h(v) = -7*v**3 + 3*v + 2. Let r be h(-1). Let y be u(r). Solve -21/2*q**3 - y + 57/2*q**2 - 12*q = 0 for q.
-2/7, 1, 2
Let m(y) be the second derivative of y**4/16 - y**3/24 - 5*y**2/4 + 71*y - 2. Find a, given that m(a) = 0.
-5/3, 2
Let r(k) be the second derivative of -2*k**7/21 + 14*k**6/15 - 2*k**5 - 2*k**4/3 + 22*k**3/3 - 10*k**2 - 205*k. Solve r(w) = 0 for w.
-1, 1, 5
Factor -40/7*x**2 - 128/7 - 4/7*x**3 - 128/7*x.
-4*(x + 2)*(x + 4)**2/7
Let g(f) be the third derivative of -4/21*f**8 + 0 - 14/15*f**6 + 24/35*f**7 + 3/5*f**5 + 2*f**2 + 0*f + 0*f**3 - 1/6*f**4. Solve g(b) = 0.
0, 1/4, 1/2, 1
Let t be (-6 - 990)/4*1/(-3). Let z = 921/11 - t. Solve 0 - 2/11*r**3 - z*r**2 - 8/11*r = 0 for r.
-2, 0
Suppose 414*a + 1100 = 419*a. Let j be ((a/77)/(-2))/(3/(-7)). Suppose -4/9 + j*o - 2*o**4 + 58/9*o**3 - 22/3*o**2 = 0. Calculate o.
2/9, 1
Let g be 8 + ((-32)/(-24))/(1/(-3)). Determine l so that 6 - g*l**2 - 4*l + 0 + 2 = 0.
-2, 1
Let z(f) be the first derivative of -2*f**2 + 42*f + 54. Let k be z(10). Factor -2/3*w**5 + 4/3*w**4 + 0*w**3 + 2/3*w - 4/3*w**k + 0.
-2*w*(w - 1)**3*(w + 1)/3
What is f in 38*f + 5*f**3 + 2*f**5 + 2*f**2 - 2*f**4 - 3*f**3 - 4*f**3 - 38*f = 0?
-1, 0, 1
Let i(a) be the second derivative of a**5/100 - a**4/12 - 4*a**3/15 + 6*a**2/5 - 6*a - 5. Find j, given that i(j) = 0.
-2, 1, 6
Factor 3/4*s**2 + 1/4*s**3 + 1/2 - 1/4*s**4 - 5/4*s.
-(s - 1)**3*(s + 2)/4
Let w(c) be the first derivative of c**4/7 + 4*c**3/7 - 502. Solve w(y) = 0 for y.
-3, 0
Factor -162*a - 5*a**3 + 160*a + 7*a**3.
2*a*(a - 1)*(a + 1)
Let l(t) be the first derivative of t**4 - 12*t**3 + 12*t**2 + 224*t + 200. Suppose l(c) = 0. Calculate c.
-2, 4, 7
Suppose -31 = -2*y - 13. Factor y*v**2 - 9*v**3 + v**5 + 10*v**3 + 14*v**3 + 5*v**4 + 2*v**4.
v**2*(v + 1)*(v + 3)**2
Let w(i) = -10*i**2 + 560*i - 485. Let b(j) = j**2 - 51*j + 44. Let f(r) = -65*b(r) - 6*w(r). Determine g so that f(g) = 0.
-10, 1
Let g(z) be the first derivative of 14 + 20*z**2 + 35/3*z**3 - 80*z + 5/4*z**4. What is s in g(s) = 0?
-4, 1
Let a(o) = -2*o**4 + 9*o**3 + 2*o**2 - 4*o. Let d(q) = 2*q**4 - 8*q**3 - 2*q**2 + 4*q. Let y be 2*-1 - 0/6 - -6. Let c(m) = y*a(m) + 5*d(m). Solve c(w) = 0.
-1, 0, 1, 2
Let d(v) = -v**2 - 5*v + 1. Let l be d(-5). Let -400*h**2 + 42*h - l - 5 + 2 + 38*h = 0. What is h?
1/10
Factor -1700*f + 2476*f**4 + 1500 + 138*f**2 + 17*f**2 + 80*f**3 - 2471*f**4 - 40*f**2.
5*(f - 3)*(f - 1)*(f + 10)**2
Let g(k) = k**4 - k - 1. Let y = -15 - -17. Let c(h) = -5*h**4 + 9*h**3 - 6*h**2 + 2*h + 2. Let l(j) = y*g(j) + c(j). Factor l(m).
-3*m**2*(m - 2)*(m - 1)
Factor -2/3*j**2 + 20/3 + 2*j.
-2*(j - 5)*(j + 2)/3
Determine v, given that -3*v**2 + 0*v**2 - 132*v - 10*v**2 + 24*v**2 - 9*v**2 + 2178 = 0.
33
Let i(c) be the first derivative of -c**6/30 + c**5/9 - c**4/18 - 2*c**3/9 - 6*c**2 - 14. Let r(o) be the second derivative of i(o). Factor r(t).
-4*(t - 1)**2*(3*t + 1)/3
Let b(z) = z + 22. Let y be b(14). Factor -y*o + 6*o**2 - 6*o**3 + 15*o**3 + 24 + 0*o**4 - 3*o**4.
-3*(o - 2)**2*(o - 1)*(o + 2)
Let v(f) be the second derivative of -65*f**4/36 - 125*f**3/9 + 20*f**2/3 - 167*f. Factor v(m).
-5*(m + 4)*(13*m - 2)/3
Let q(z) = -z**3 - z + 1. Let c(y) = 5*y**3 - 5*y**2 + 3*y + 1. Let b(o) = c(o) + 4*q(o). Factor b(j).
(j - 5)*(j - 1)*(j + 1)
Let a(z) be the third derivative of z**8/336 - z**7/14 + 13*z**6/120 + z**5/4 - 7*z**4/12 - 60*z**2. Find t such that a(t) = 0.
-1, 0, 1, 14
Let t(c) be the first derivative of -c**7/5460 - c**6/1170 + c**5/780 + c**4/78 - 23*c**3/3 + 23. Let o(y) be the third derivative of t(y). Factor o(r).
-2*(r - 1)*(r + 1)*(r + 2)/13
Factor -26*t**2 + 10*t**2 + 7 - 44*t - 60*t**2 + 25.
-4*(t + 1)*(19*t - 8)
Let w(h) be the second derivative of -h**7/735 + h**6/105 - h**5/42 + h**4/42 - 3*h**2 + 35*h. Let o(z) be the first derivative of w(z). What is t in o(t) = 0?
0, 1, 2
Let x(d) be the second derivative of d**7/70 + d**6/40 - 3*d**5/10 - d**4/2 + 4*d**3 + 4*d**2 - 9*d. Let m(u) be the first derivative of x(u). Factor m(j).
3*(j - 2)*(j - 1)*(j + 2)**2
Suppose -5*h = -2*o - 150, -143 - 21 = 2*o + 2*h. Let f be o/(-30) + 2/(-3). Factor j**f - 4*j**3 + j**2 + 6*j**3 - 5*j + j.
2*j*(j - 1)*(j + 2)
Let u(d) = -4*d - 60. Let h(z) = -4*z - 59. Let y(q) = -5*h(q) + 6*u(q). Let n be y(-17). Suppose 1/3*w**2 + n + 2*w = 0. Calculate w.
-3
Let b = 1806 - 2850. Let l be (-8)/(-6) - b/432. Determine r so that 0 - 3/2*r - 9*r**3 + l*r**4 + 27/4*r**2 = 0.
0, 2/5, 1
Let o = -20 - -25. Factor -3*g**3 - g**o + 8*g**2 + 14*g**3 + 3*g - 5*g**3.
-g*(g - 3)*(g + 1)**3
Solve -16/7*f**3 + 2/7*f**4 + 16/7*f**2 + 64/7*f - 96/7 = 0.
-2, 2, 6
Let s(k) be the first derivative of -1/5*k**5 - 12 + 0*k**2 - 4/15*k**3 - 2/5*k**4 + 0*k - 1/30*k**6. Factor s(o).
-o**2*(o + 1)*(o + 2)**2/5
Determine w, given that 0*w + 2 - 1/2*w**2 = 0.
-2, 2
Let k(x) be the third derivative of -x**8/336 - 4*x**7/105 - 13*x**6/120 + 11*x**5/30 + 4*x**4/3 - 16*x**3/3 - 87*x**2. Factor k(s).
-(s - 1)**2*(s + 2)*(s + 4)**2
Determine k, given that 0*k**2 + 2/3*k + 4/9 - 2/9*k**