of 1/6*p**l + 4*p + 0*p**2 - 2/3*p**3 + 0. Determine a so that k(a) = 0.
0, 2
Let d(z) be the third derivative of z**5/36 - 5*z**4/12 - 35*z**3/18 - 18*z**2 + 1. Find o such that d(o) = 0.
-1, 7
Let k(n) be the first derivative of 81*n**6/2 + 108*n**5/5 - 717*n**4/4 - 270*n**3 - 126*n**2 - 24*n + 213. Determine j so that k(j) = 0.
-1, -2/9, 2
Let l be -30 + 5 + (-17514)/(-695). Factor -4/5*r + l*r**2 + 0.
r*(r - 4)/5
Suppose 52*n + 6 = 53*n. Let b be (n + -5)/((4/5)/4). Factor x + 0 + 1/2*x**4 - 3/2*x**3 + 1/2*x**b - 1/2*x**2.
x*(x - 1)**2*(x + 1)*(x + 2)/2
Suppose -23*g = -6*g. Let v(y) be the second derivative of 0 + g*y**2 - 3/10*y**5 - 1/2*y**4 - 5*y - 1/15*y**6 - 1/3*y**3. Factor v(h).
-2*h*(h + 1)**3
Let k(s) = -2*s**3 + 6*s**2 - 4*s + 10. Let b be 2/(-4) - (-57)/(-6). Let p(x) = -1. Let g(n) = b*p(n) - k(n). Factor g(q).
2*q*(q - 2)*(q - 1)
Find z, given that 96/5*z**2 - 2/5*z**4 - 8/5*z**3 - 224/5*z + 32 = 0.
-10, 2
Let k(c) be the second derivative of 2*c**4 - 4/15*c**6 + 1/21*c**7 + 3*c**3 - 1/5*c**5 + 0*c**2 + 8*c + 0. Factor k(w).
2*w*(w - 3)**2*(w + 1)**2
Let u(f) be the first derivative of f**4/15 - 4*f**3/3 + 10*f**2 + f + 4. Let w(z) be the first derivative of u(z). Find q such that w(q) = 0.
5
Let b be 18/54 + 1/(-3). Suppose 2*w + 3*w - 5 = b, 0 = 3*c - 3*w - 3. Factor -h + 0*h**2 - 3 + h**c + 0 + 1.
(h - 2)*(h + 1)
Let i(q) be the third derivative of q**9/90720 + q**8/10080 + q**7/3780 - q**5/4 - 38*q**2. Let w(x) be the third derivative of i(x). Find y such that w(y) = 0.
-2, -1, 0
Let z be 1/(-2) + 57/(-6). Let i be (8/z)/((-2)/10). Suppose -1 - 5*t + 12*t**2 + i - 13*t - 2*t**3 + 5 = 0. Calculate t.
1, 4
Let n(r) be the first derivative of r**5/30 + 7*r**4/24 + 5*r**3/18 - 7*r**2/12 - r - 140. Determine x, given that n(x) = 0.
-6, -1, 1
Let p(m) be the second derivative of 2*m**7/21 + 4*m**6/15 - m**5/5 - 2*m**4/3 - 4*m + 6. Determine v so that p(v) = 0.
-2, -1, 0, 1
Let j(a) be the third derivative of a**5/240 + a**4/48 - 35*a**3/24 + 32*a**2. Suppose j(z) = 0. What is z?
-7, 5
Let c(u) be the third derivative of u**11/49280 - u**10/16800 + u**9/20160 - 7*u**5/60 - 2*u**2. Let o(p) be the third derivative of c(p). Factor o(q).
3*q**3*(3*q - 2)**2/4
Let q = 161 - 157. Solve 32*k**2 - 52*k - 8 + q*k**2 + 24*k**2 = 0 for k.
-2/15, 1
Find k, given that -43*k**4 - 8*k + 12*k**2 + 51*k**4 + 4*k**3 + 4*k**5 - 20*k**4 = 0.
-1, 0, 1, 2
Factor -36/5*x**2 + 8/5*x**4 + 0*x - 6/5*x**3 + 2/5*x**5 + 0.
2*x**2*(x - 2)*(x + 3)**2/5
Factor -o**3 + 7*o**3 - 5*o**3 - o**3 - 342*o + 3*o**3 - 165*o**2.
3*o*(o - 57)*(o + 2)
Let m(k) = -2*k**2 - 7*k + 11. Let x(b) = b**2 + 4*b - 6. Let t = -51 + 40. Let i(l) = t*x(l) - 6*m(l). Find o such that i(o) = 0.
0, 2
Let w = 3537/5 - 705. Find i such that 12/5*i**4 - 6/5*i**3 + 9/5*i**5 + 0 - w*i**2 - 3/5*i = 0.
-1, -1/3, 0, 1
Suppose -3/5*w**2 + 36 + 12/5*w = 0. What is w?
-6, 10
Let m(o) be the third derivative of -11*o**9/6048 + o**8/1680 + 55*o**3/6 - 44*o**2. Let t(u) be the first derivative of m(u). Suppose t(p) = 0. What is p?
0, 2/11
Let s = 36 - 53. Let g be (-629)/(-2890) - (-2)/s. What is y in -1/10*y - 1/10*y**5 + 1/5*y**3 + g + 1/10*y**4 - 1/5*y**2 = 0?
-1, 1
Let o(b) be the first derivative of -b**4/14 - 74*b**3/7 - 4107*b**2/7 - 101306*b/7 + 158. Factor o(l).
-2*(l + 37)**3/7
Factor 33*y + 12*y**3 - 38*y**3 - 35*y + 25*y**2 - 5*y**4 + 8*y.
-y*(y - 1)*(y + 6)*(5*y + 1)
Suppose 16 = 5*t + 5*i - 69, 5*t - 4*i - 67 = 0. Suppose 0 = -5*u + 8*u - t. Suppose -12/7*n**3 - 4/7*n**2 + 0 + 0*n - 4/7*n**u - 12/7*n**4 = 0. What is n?
-1, 0
Let t be 632*(-7)/(-616) + -7. Let g = -59 - -651/11. Suppose -2/11*u**2 - 2/11*u**3 + t*u**4 + 0 + g*u = 0. What is u?
-1, 0, 1
Let j(k) be the third derivative of k**7/1092 + k**6/130 - 2*k**5/195 + 17*k**3/6 + 36*k**2. Let n(w) be the first derivative of j(w). Factor n(s).
2*s*(s + 4)*(5*s - 2)/13
Let n(c) = c**3 - 8*c**2 + 15*c + 2. Let s be n(5). Let u be (2/6)/((-4)/24) + s. Factor -k**2 + u - 3/2*k**3 - 1/2*k**4 + 0*k.
-k**2*(k + 1)*(k + 2)/2
Suppose -1/5*w**2 - 48/5*w - 576/5 = 0. What is w?
-24
Factor 1458*l**2 + 13122/5*l**3 + 270*l + 50/3.
2*(27*l + 5)**3/15
Let z(l) be the third derivative of 1/660*l**6 + 0*l**4 - 1/1848*l**8 + 7*l**2 + 1/385*l**7 + 0*l + 0*l**3 + 0 - 1/110*l**5. Find m such that z(m) = 0.
-1, 0, 1, 3
Suppose 2*t = -3*p, 0 = -2*p - p + t + 9. Factor 8*w**3 - 6*w**2 - p - 14*w**3 + 4*w**3 - 6*w.
-2*(w + 1)**3
Let i(p) = 41*p + 331. Let f be i(-8). Find a such that 10/3*a - 8/3*a**2 + 2/3*a**f - 4/3 = 0.
1, 2
Let n(h) = -67*h**3 + 94*h**2 - 35*h - 10. Let b(a) = -400*a**3 + 565*a**2 - 210*a - 60. Let l(m) = -6*b(m) + 35*n(m). Find k such that l(k) = 0.
-2/11, 1
Let m(h) = -h**2 - h - 1. Let o = -37 + 34. Let k(r) = r**3 + 10*r**2 + 70*r + 120. Let x(c) = o*k(c) + 15*m(c). What is l in x(l) = 0?
-5
Let o(n) be the second derivative of 0*n**2 + 1/150*n**6 + 1/20*n**4 + 20*n + 0 + 1/30*n**3 + 3/100*n**5. Factor o(y).
y*(y + 1)**3/5
Let x(c) be the second derivative of 2/9*c**3 + 13/60*c**5 - 1/3*c**4 + 0*c**2 + 8*c + 0 - 1/15*c**6 + 1/126*c**7. Factor x(m).
m*(m - 2)**2*(m - 1)**2/3
Let m be 3/(-108) + (15/24)/(5/2). Factor -8/9*z + 8/9*z**3 + 2/9 - m*z**2.
2*(z - 1)*(z + 1)*(4*z - 1)/9
Let x(p) = -p**2 + 9*p - 9. Let m(j) = -j + 1. Suppose -c - 1 = 0, -1 - 12 = -4*h - 3*c. Let u(l) = h*x(l) + 36*m(l). Solve u(r) = 0 for r.
0
Let h be (-6)/(-33) - 216/(-22). Let x = 6 + h. Factor 0 - x*a + 120*a**3 + 92*a + 25*a**4 + 12 + 159*a**2.
(a + 1)*(a + 3)*(5*a + 2)**2
Let q(o) be the first derivative of -1/18*o**4 + 4/27*o**3 - 1/9*o**2 - 3 + 0*o. Factor q(n).
-2*n*(n - 1)**2/9
Let d(k) be the second derivative of -k**7/1050 + 7*k**5/150 + k**4/5 - 13*k**3/6 - 11*k. Let f(j) be the second derivative of d(j). Factor f(q).
-4*(q - 3)*(q + 1)*(q + 2)/5
Let w(b) be the third derivative of b**7/27720 - b**6/7920 + 7*b**4/12 - 17*b**2. Let q(g) be the second derivative of w(g). Suppose q(k) = 0. What is k?
0, 1
Let o = 144 - 141. Let l(n) be the first derivative of 2*n**3 - 9/2*n**2 - 9/5*n**5 + 3/2*n**4 - 7 + 1/2*n**6 + o*n. Suppose l(k) = 0. What is k?
-1, 1
Suppose 2*l + 15 = 7*l. Factor -2374*u**l - 5*u**4 + u - u + 2364*u**3 - 5*u**2.
-5*u**2*(u + 1)**2
Factor -3/7*a**2 - 165/7*a - 162/7.
-3*(a + 1)*(a + 54)/7
Find z, given that 1/5*z**2 - 7/5*z + 12/5 = 0.
3, 4
Suppose -2/17*c**4 - 96/17*c**2 - 26/17*c**3 + 0 - 72/17*c = 0. Calculate c.
-6, -1, 0
Let t = -1628 + 4886/3. What is u in 2/3*u + 0 + t*u**2 = 0?
-1, 0
Let v = 89/1680 + -1/336. Let c(f) be the second derivative of 3/100*f**5 - 7*f + 0*f**2 - 1/5*f**3 + 0 + v*f**4. Determine z so that c(z) = 0.
-2, 0, 1
What is m in -128/3*m - 1024/3 - 4/3*m**2 = 0?
-16
Let s(t) be the first derivative of t**4/2 + 2*t**3 + 2*t**2 - 462. What is b in s(b) = 0?
-2, -1, 0
Let w(r) be the second derivative of r**5/70 - 5*r**4/7 + 12*r**3 - 56*r**2 - r - 5. Suppose w(y) = 0. What is y?
2, 14
Let l(u) be the second derivative of u**5/240 - 11*u**4/144 + 5*u**3/9 - 2*u**2 - 35*u - 1. Factor l(s).
(s - 4)**2*(s - 3)/12
Let x(v) be the third derivative of -v**8/1008 - 11*v**7/630 - 19*v**6/360 + 11*v**5/20 + 3*v**4 + 6*v**3 + 246*v**2 - v. Determine o so that x(o) = 0.
-6, -1, 3
Let y(r) be the first derivative of -19 - 8*r - 3/2*r**3 - 6*r**2. Let y(l) = 0. Calculate l.
-4/3
Let b(k) = -36*k**2 - 252*k + 544. Let m(f) = 23*f**2 + 168*f - 363. Let j(y) = 5*b(y) + 8*m(y). Factor j(i).
4*(i - 2)*(i + 23)
Let y(h) be the first derivative of -h**4/16 - 2*h**3/3 - 13*h**2/8 - 3*h/2 - 124. Factor y(f).
-(f + 1)**2*(f + 6)/4
Let s(l) be the third derivative of l**6/220 + 9*l**5/110 + 15*l**4/44 - 25*l**3/11 - 2*l**2 + 44. Factor s(q).
6*(q - 1)*(q + 5)**2/11
Suppose -t + 4*o + 15 = -2*t, -o = 4*t - 15. Suppose -2*f - f = 3*u - 9, -f = -t*u + 9. Suppose l**u + 3*l**2 + 0*l**2 + 0*l**2 - 8*l = 0. Calculate l.
0, 2
Let z(r) be the third derivative of r**8/120960 + r**7/3780 + 13*r**5/30 - 25*r**2. Let k(s) be the third derivative of z(s). Factor k(n).
n*(n + 8)/6
Let u(j) = -5*j**4 - 42*j**3 - 114*j**2 - 120*j - 45. Let l(o) = -o**3 - 2*o**2. Let k(g) = 2*l(g) - u(g). Let k(q) = 0. Calculate q.
-3, -1
Let c = -55379/11 - -5035. Factor -8/11*j - c - 2/11*j**2.
-2*(j + 1)*(j + 3)/11
Suppose 66 = 2*m + 4*q, -2*m + 88 = m - 5