e second derivative of i**5/180 - i**4/27 + i**3/18 + 27*i. Factor k(p).
p*(p - 3)*(p - 1)/9
Let w(b) = 12*b**3 + 532*b**2 - 2952*b + 3160. Let i(n) = n**3 + 41*n**2 - 227*n + 243. Let p(l) = 40*i(l) - 3*w(l). Suppose p(s) = 0. Calculate s.
-15, 2
Let p be (-4)/6 - (-76)/6. Let y(n) = 5*n**2 - 20*n + 3. Let l be y(4). Factor 12*z**4 - l*z + p*z**2 - 91 - 18*z**3 - 3*z**5 + 91.
-3*z*(z - 1)**4
Let x(k) = 8 + 6 - 30*k**2 - 4 - 7*k. Let r(z) = 30*z**2 + 8*z - 10. Let w(j) = 2*r(j) + 3*x(j). Suppose w(s) = 0. Calculate s.
-2/3, 1/2
Factor b**3 + 21 - 17 - 77*b - 37*b**2 - 43.
(b - 39)*(b + 1)**2
Factor -1/3*p**4 - 288*p**2 - 6912 + 2304*p + 16*p**3.
-(p - 12)**4/3
Let c(z) be the third derivative of z**6/1800 - z**5/300 - z**4/40 + 8*z**3/3 - z**2. Let o(d) be the first derivative of c(d). Let o(i) = 0. Calculate i.
-1, 3
Let p be 2/(1/9*6). Let z be (p/(-2))/((-18)/48). Determine v so that -2*v**3 + v + 0*v - 4*v**2 + z - 2*v**3 + 3*v = 0.
-1, 1
Suppose -w + 49 = 15. Solve -w*l - 72 - 9*l**2 - 3*l**2 - 4*l**3 - 50*l - 20*l**2 = 0.
-3, -2
Solve o**2 + 11*o**2 - 16*o**5 + 72*o**4 - 67*o**3 - 4*o**4 + 3*o**3 = 0.
0, 1/4, 1, 3
What is o in -1/2*o**4 + 0*o + 1/6*o**5 + 0*o**3 + 2/3*o**2 + 0 = 0?
-1, 0, 2
Let l(g) = g - g**3 + 2*g**3 - 756 + 757 - g**2 + g**4. Let k(j) = 8*j**4 + 10*j**3 - 14*j**2 + 2*j + 12. Let m(c) = k(c) - 6*l(c). Find i, given that m(i) = 0.
-3, -1, 1
Let v(a) be the second derivative of a**6/18 - 5*a**5/12 - 25*a**4/18 + 50*a**3/9 + 20*a**2 - 129*a. Let v(k) = 0. What is k?
-2, -1, 2, 6
Let p(q) be the first derivative of -q**7/2520 + q**5/120 - q**4/36 + 10*q**3/3 - 15. Let a(x) be the third derivative of p(x). Factor a(o).
-(o - 1)**2*(o + 2)/3
Let l(w) = -w**2 - 13*w + 1. Let k be l(-9). Let y = 37 - k. Find f, given that 1/3*f**3 - 1/3*f**2 + 0*f + y = 0.
0, 1
Let l(i) be the first derivative of 22*i**2 - 8*i + 7*i**4 - 64/3*i**3 - 23. Factor l(w).
4*(w - 1)**2*(7*w - 2)
Let t = 5428/63 + -600/7. Suppose -4*j = 2*s + 12, -2*s - 4*j = -9*j - 33. Find x such that 0 + 4/9*x + 0*x**3 + 8/9*x**2 - 8/9*x**s - t*x**5 = 0.
-1, 0, 1
Let b(t) be the third derivative of t**5/120 + 11*t**4/6 + 484*t**3/3 + 316*t**2. Factor b(y).
(y + 44)**2/2
Suppose 279 - 153 = 42*i. Let s(n) be the first derivative of 1/12*n**i + 0*n - 1/4*n**2 + 1. Solve s(v) = 0 for v.
0, 2
Let g be (-34)/(-68) + 34/(-12) - -5. Factor -g - 20/9*k + 4/9*k**2.
4*(k - 6)*(k + 1)/9
Let y(f) be the third derivative of -f**7/735 - f**6/140 + 3*f**5/70 - 5*f**4/84 - 2*f**2 + 85*f. Factor y(s).
-2*s*(s - 1)**2*(s + 5)/7
Let j(v) be the third derivative of v**6/60 - 2*v**5/15 + v**4/3 + 60*v**2. Solve j(b) = 0.
0, 2
Let k = -11/2846 - -613555/62612. Let v = -37/4 + k. Let 2/11 + v*b**2 + 2/11*b**3 + 6/11*b = 0. What is b?
-1
Let o = -1297 + 1297. Factor 0 + o*i - 2/13*i**2.
-2*i**2/13
Let 2/11*b**4 + 24/11*b**2 + 0 + 0*b - 14/11*b**3 = 0. Calculate b.
0, 3, 4
Let l(p) be the first derivative of 1/2*p**4 + 2*p**2 - 2 - 2*p**3 - 4*p. Let g(n) = -6*n**3 + 17*n**2 - 11*n + 11. Let i(q) = 4*g(q) + 11*l(q). Factor i(u).
-2*u**2*(u - 1)
Suppose -10/13*d**5 + 64/13 - 54/13*d**4 + 200/13*d**2 + 240/13*d - 20/13*d**3 = 0. What is d?
-4, -2, -1, -2/5, 2
Let d(a) = 3*a**5 + 120*a**4 - 2870*a**3 + 34555*a**2 - 207355*a + 497664. Let s(b) = -b**5 - 2*b**3 + b**2 - b. Let t(p) = 2*d(p) + 10*s(p). Factor t(u).
-4*(u - 12)**5
Determine i, given that 29/4*i**2 - 1/8*i**3 - 112*i + 196 = 0.
2, 28
Let h = 2/2333 + 2323/11665. Let o(z) be the first derivative of 5 + 9/10*z**2 + 0*z - h*z**3. Factor o(s).
-3*s*(s - 3)/5
Suppose -5*v = r - 23, 5*r + 2*v - 23 = -0*v. Find t, given that -115*t**2 + 8*t**r + 12*t**3 - 80*t**5 + 105*t**4 + 10 + 75*t**4 - 15*t = 0.
-1/2, 1/4, 1, 2
Let 87/5*r**2 + 0 - 39/5*r**3 - 9*r - 3/5*r**4 = 0. What is r?
-15, 0, 1
Factor -42 - 34*i**3 + 123*i**2 + 352 + 2*i**4 + 330 + 93*i**2 - 608*i.
2*(i - 5)*(i - 4)**3
Let c = 47 + -35. Determine y so that c - 4 - 4*y**2 - 4 = 0.
-1, 1
Let s(m) = m**3 + 2*m**2 + m + 55. Let i be s(0). Let u = i - 53. Let -5/2*j**5 + 0*j - j**3 - 7/2*j**4 + 0 + 0*j**u = 0. What is j?
-1, -2/5, 0
Let c = 22/177 - -32/59. Solve -2/3*l**4 - 4/3 - 2/3*l**3 + 2*l**2 + c*l = 0 for l.
-2, -1, 1
Let j(z) be the first derivative of 69*z**4 - 107*z**3 + 39*z**2/2 + 6*z + 97. Factor j(d).
3*(d - 1)*(4*d - 1)*(23*d + 2)
Let n(l) be the second derivative of 1/360*l**6 + 0*l**2 + 0 + 0*l**3 + 5*l + 1/120*l**5 + 0*l**4. Factor n(t).
t**3*(t + 2)/12
Let b(q) be the first derivative of -q**9/648 - q**8/210 - q**7/420 + q**6/270 - 20*q**3/3 - 19. Let k(a) be the third derivative of b(a). Factor k(x).
-2*x**2*(x + 1)**2*(7*x - 2)/3
Suppose -82/3*z**4 + 0*z - 22*z**5 - 14/3*z**3 + 0 + 2/3*z**2 = 0. Calculate z.
-1, -1/3, 0, 1/11
Suppose 1 = -i + 3*f, 3*f = 4*i - 0*f - 23. Let p(z) be the first derivative of -1/4*z**2 + i + 1/3*z**3 - 1/8*z**4 + 0*z. Factor p(y).
-y*(y - 1)**2/2
Let z(w) = -w - 7. Let n be z(-10). Suppose -5*c = -3*r - r - 4, 0 = 3*r - 3*c. Factor -n*j**2 + 8*j**r - j**4 - 6*j**4 + 2*j.
j*(j - 1)**2*(j + 2)
Let l(k) be the third derivative of -k**7/42 - k**6/24 + 5*k**5/12 - 5*k**4/8 - 82*k**2. Factor l(p).
-5*p*(p - 1)**2*(p + 3)
Let w be -3 + -9 + -6 + (7 - 4). Let y be (w/(-10))/((-3)/(-4)). Determine j so that 0 + 1/3*j**3 - j**y + 2/3*j = 0.
0, 1, 2
Let c be (-31)/31*5 - (-5)/(60/63). Find l such that l**3 + 5/4*l**2 + 0 + c*l**4 + 1/2*l = 0.
-2, -1, 0
Let l = -156 - -222. Let y = l - 66. Determine f, given that -1/2*f**2 + 0*f + y = 0.
0
Let z(k) = -3*k**3 + 2*k**3 + k**4 + 36 - 37. Let m(h) = 11*h**4 - 11*h**3 - 15*h**2 + 5*h + 4. Let o(j) = -m(j) + 6*z(j). Let o(c) = 0. Calculate c.
-1, 1, 2
Let t(v) = 4*v**3 + v**2 + 4*v + 3. Let y(z) = -4*z**3 - 2*z**3 + 5*z**3 - 25*z - 1 - z**2 + 24*z. Let l(i) = 2*t(i) + 6*y(i). Factor l(d).
2*d*(d - 1)**2
Let c be (90 - -3)/(7/(42/(-9))). Let v be c/(-8) - 84/21. Determine a, given that -15*a - 33/2*a**3 - 3 - v*a**4 - 99/4*a**2 = 0.
-2, -1, -2/5
Suppose 0 = -9*i + 18*i - 153. Factor -3*x**2 - 2 + i - 150*x + 71*x + 67*x.
-3*(x - 1)*(x + 5)
Let m(r) = 2*r**5 - 6*r**4 - 4*r**3 + 10*r**2 - 2*r + 2. Let f(n) = -n**5 + n**4 + n**2 - n + 1. Let l(d) = -2*f(d) + m(d). What is c in l(c) = 0?
-1, 0, 1, 2
Find p, given that -76*p - 63*p - 129*p**2 - 50*p + 15*p**4 - 54 + 21*p**3 = 0.
-3, -1, -2/5, 3
Determine f, given that f**3 + 3/2*f**2 - 4*f - 1/2*f**4 + 2 = 0.
-2, 1, 2
Solve 1/4*o**3 - 15/4 - 13/4*o**2 - 29/4*o = 0.
-1, 15
Let h(n) be the first derivative of n**4/8 - 2*n**3/3 + n**2 + 59. Suppose h(i) = 0. Calculate i.
0, 2
Let f(s) be the first derivative of -s**4/14 - 16*s**3/21 + s**2/7 + 16*s/7 + 26. Let f(c) = 0. What is c?
-8, -1, 1
Factor 48*g - 5*g**2 + 9*g - 50 - 2*g.
-5*(g - 10)*(g - 1)
Determine i so that 0 + 0*i**3 + 5/2*i + 15/4*i**2 - 5/4*i**4 = 0.
-1, 0, 2
Let q = -15 - -6. Let d be (-12)/20*1*6/q. What is n in -d*n**2 + 0 + 4/5*n = 0?
0, 2
Factor -44/3*v**2 + 2/9*v**3 + 968/3*v - 21296/9.
2*(v - 22)**3/9
Let u(i) be the first derivative of 8 + 0*i**2 + 0*i + 1/12*i**3 - 1/4*i**4 + 3/20*i**5. Factor u(x).
x**2*(x - 1)*(3*x - 1)/4
Let z(r) be the second derivative of 49*r**6/2160 - 7*r**5/180 + r**4/36 - 7*r**3/3 - 2*r. Let t(g) be the second derivative of z(g). Solve t(y) = 0.
2/7
Let d be (64*7/(-63) - -7)/(1/(-3)). Find a, given that -1/6 + 1/6*a + d*a**2 = 0.
-1, 1/2
Let a be 6/(-9)*35/(-105). Let h(t) be the second derivative of a*t**3 + 1/18*t**4 + 0*t**2 - 3*t - 1/30*t**5 + 0. Factor h(i).
-2*i*(i - 2)*(i + 1)/3
Let g be (1 - 3) + 7/1. Find j, given that 2*j**3 - j + 2 - 11*j**4 + 4*j**2 - j**g - 4 + 5*j**4 + 4*j**4 = 0.
-2, -1, 1
Let k(n) be the first derivative of -n**6/3 - 24*n**5/5 - 4*n**4 + 68*n**3/3 + 9*n**2 - 44*n - 612. Find s such that k(s) = 0.
-11, -2, -1, 1
Find u such that -88*u**3 + 11*u + 0*u**4 + 89*u**3 - u**4 + 4 + 9*u**2 = 0.
-1, 4
Let h be 2 + 0 + -1 + -40. Let u be h/(-12) + (2 - 5). Factor 1/2*p**2 + 0*p**3 - 1/4*p**4 - u + 0*p.
-(p - 1)**2*(p + 1)**2/4
Let f(m) = m**2 + m. Let o be 7/(-14)*(0 - 36). Let d = o + -19. Let u(b) = 2*b**3 + 7*b**2 + 5*b. Let i(p) = d*f(p) + u(p). Determine g, given that i(g) = 0.
-2, -1, 0
Suppose 12 = 3*z + t, 4*t - 2*t + 1 = -z. Let n be (48/(-30))/((-2)/z). Let n + 0 - 4 + 2*i**3 - 2*i = 0. Calculate i.
-1, 0, 1
Let k(c) be the 