be the second derivative of a(x). Find i, given that y(i) = 0.
-1, 0
Suppose -4*n - 5*f + 2 = -34, 0 = -n + 3*f - 8. Factor -14*q**4 + 2*q**3 - 4*q + 24*q**2 + 16*q + 5*q**n + q**3.
-3*q*(q - 2)*(q + 1)*(3*q + 2)
Let w = -16 - -20. What is n in 0*n**3 - n - w*n**2 - 2*n**3 + 31*n + 72 = 0?
-3, 4
Let f = 2 - 2. Suppose f = -q - 3*q + 12. Factor 3*i**4 - 38*i**5 + 35*i**5 - 3*i**2 + q*i**3 + 0*i**3 + 0*i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let o(m) be the first derivative of 2*m**5/15 - 3*m**4/2 + 20*m**3/9 + 12*m**2 - 112*m/3 - 218. Find x, given that o(x) = 0.
-2, 2, 7
Let k = 6550 - 6550. Factor -3/7*b**2 + 1/7*b - 1/7*b**4 + 3/7*b**3 + k.
-b*(b - 1)**3/7
Suppose -3*h + 27*b + 8 = 28*b, 2*b = -5*h + 14. Factor 2/7*q**h + 4/7*q + 2/7.
2*(q + 1)**2/7
Suppose -2/9*x**4 - 2/3*x**2 + 10/9*x**3 + 8/9 - 10/9*x = 0. What is x?
-1, 1, 4
Let n(c) be the first derivative of -c**6/2 + 16*c**5/5 - 8*c**4 + 10*c**3 - 13*c**2/2 + 2*c - 4. Factor n(f).
-(f - 2)*(f - 1)**3*(3*f - 1)
Let a(x) be the third derivative of -x**10/21600 + x**9/12096 + x**8/10080 - x**5/10 + 27*x**2. Let p(j) be the third derivative of a(j). What is v in p(v) = 0?
-2/7, 0, 1
Let u(k) be the third derivative of k**7/42 + k**6/4 - k**5/4 - 10*k**4/3 + 10*k**3 - 103*k**2. Factor u(h).
5*(h - 1)**2*(h + 2)*(h + 6)
Suppose -14/15*u**2 - 2/3*u**3 + 2/3*u + 2/15*u**4 + 4/5 = 0. Calculate u.
-1, 1, 6
Let r(m) be the third derivative of -m**6/540 + m**5/90 + 10*m**3/3 - 20*m**2. Let i(c) be the first derivative of r(c). Factor i(j).
-2*j*(j - 2)/3
Let h(z) = -13*z + 795. Let g be h(61). Determine s, given that 3/7*s**g - 6/7*s + 0 = 0.
0, 2
Let w(g) be the first derivative of 4*g**3/9 + 2*g**2/3 - 16*g - 45. Determine b, given that w(b) = 0.
-4, 3
Let k = -2053 + 2055. Determine n, given that -4/3*n + 0 - k*n**2 + 2/3*n**4 + 0*n**3 = 0.
-1, 0, 2
Suppose 6 = -x + 4*x. Let n = 3622/9 - 23896/63. Factor 72/7*b + 8/7 + n*b**x.
2*(9*b + 2)**2/7
Let n(h) be the second derivative of 2/15*h**3 + 10*h + 0 + 1/100*h**5 + 0*h**2 + 1/15*h**4. Let n(y) = 0. Calculate y.
-2, 0
Solve 9/2*z**3 - 1/2*z**4 - 4*z - 1/2*z**5 + 13/2*z**2 - 6 = 0.
-2, -1, 1, 3
Let k(i) be the third derivative of -i**7/840 + i**6/96 - i**5/30 + i**4/24 + 304*i**2. Suppose k(n) = 0. Calculate n.
0, 1, 2
Let i be ((-3)/5 + -1)*25/(-10). Let u(x) be the first derivative of 4/21*x**3 + 2/7*x - 1/21*x**6 - 1/7*x**4 - 6/35*x**5 - i + 3/7*x**2. Solve u(t) = 0 for t.
-1, 1
Let v(u) be the second derivative of -u**5/10 - 11*u**4/6 - 10*u**3/3 + 2*u - 19. Solve v(a) = 0.
-10, -1, 0
Let b be (11 - 420/40)*0. Find i, given that 0 + b*i - 1/5*i**3 - 3/5*i**2 = 0.
-3, 0
Let t be -27*(-3)/9 - (-4)/(-1). Let n(q) = 2*q - 7. Let o be n(6). Determine p so that p + 4*p**5 - 6*p**3 + 2*p + 0*p**t - p**o = 0.
-1, 0, 1
Factor 0 + 1/3*o**3 - 28/3*o**2 + 0*o.
o**2*(o - 28)/3
Let h = 1020 + -7136/7. Factor h*r**4 + 8/7*r**3 + 16/7 - 12/7*r**2 - 16/7*r.
4*(r - 1)**2*(r + 2)**2/7
Determine p, given that -9/4*p**3 + 0 + 3/4*p**5 + 21/2*p**4 - 33*p**2 - 21*p = 0.
-14, -1, 0, 2
Let j(p) = -21*p**2 + 246*p - 498. Let l(r) = 5*r**2 - 62*r + 124. Let x(i) = -2*j(i) - 9*l(i). Factor x(h).
-3*(h - 20)*(h - 2)
Let d be -3*(-506)/495 + 1 + (-14)/10. Factor 8/3*m**3 - 4/3*m**4 + 0 + 4/3*m**2 - d*m.
-4*m*(m - 2)*(m - 1)*(m + 1)/3
Let g(i) be the first derivative of i**6/54 - 2*i**5/45 + i**4/36 + 46. Suppose g(l) = 0. What is l?
0, 1
Let n(y) = 3*y**2 - 4*y**2 - 3 + 6 - 2*y + 2*y**2. Let x(u) = 5*u**2 - 10*u + 16. Let c(z) = -22*n(z) + 4*x(z). What is k in c(k) = 0?
1
Let o(x) be the second derivative of -1/20*x**5 + 2*x + 0 - 1/120*x**6 - 1/8*x**4 - 5/3*x**3 + 0*x**2. Let g(h) be the second derivative of o(h). Factor g(m).
-3*(m + 1)**2
Let 12*k - 3*k**5 - 3*k**5 - 14*k**4 - 10*k**3 + 3*k**5 + 14*k**2 + k**5 = 0. What is k?
-6, -1, 0, 1
Suppose 2*i = 4*j + 4, -4*i + j + 8 = -0*i. Suppose -p - i + 4 = 0. Factor 3*u**2 - 2*u**2 + u**2 - 5*u**p + 6*u.
-3*u*(u - 2)
Let c(o) be the second derivative of o**4/3 - 2*o**3/3 - 4*o**2 + 597*o. Solve c(q) = 0.
-1, 2
Determine f so that -32*f**2 - 220*f - 4/3*f**3 - 968/3 = 0.
-11, -2
Let y(h) be the first derivative of 4*h**5/5 - 5*h**4/6 - 4*h**3/3 + 53*h**2/2 + 41. Let l(i) be the second derivative of y(i). Factor l(r).
4*(3*r - 2)*(4*r + 1)
Let o = 27037/7 + -3862. Solve -12/7*g**3 + o*g**4 + 0*g + 0 + 3/7*g**5 - 12/7*g**2 = 0 for g.
-2, -1, 0, 2
Let f(i) be the first derivative of i**2/2 - 2*i + 5. Let x be f(4). Factor -2*s**4 + 3*s**3 - 3*s**3 + x*s**3.
-2*s**3*(s - 1)
Suppose 0 = 2*y - 0 - 6. Suppose 189*v - 107*v - 98*v - 16*v**2 - 4*v**y = 0. Calculate v.
-2, 0
Let v(n) = 256*n**5 + 3944*n**4 - 4974*n**3 + 2024*n**2 - 272*n + 6. Let c(w) = w**5 - w**4 + w**3 + 1. Let r(q) = -6*c(q) + v(q). Factor r(b).
2*b*(b + 17)*(5*b - 2)**3
Let o(k) be the third derivative of 0 + 0*k**5 + 3/40*k**6 - 1/70*k**7 - 1/2*k**4 + 0*k**3 + 0*k + 11*k**2. Factor o(t).
-3*t*(t - 2)**2*(t + 1)
Factor 1/4*o**3 + 41/4*o**2 - 273/4*o + 423/4.
(o - 3)**2*(o + 47)/4
Let o(r) be the first derivative of -4*r**3/3 + 360*r**2 - 716*r - 453. Solve o(t) = 0 for t.
1, 179
Determine k so that -15*k - 25 - 5/4*k**2 = 0.
-10, -2
Let a(i) = -51*i**2 + 45*i - 15 - 54*i**2 + 85*i**2. Let f(g) = -g**3 - 19*g**2 + 46*g - 14. Let l(x) = -6*a(x) + 5*f(x). Factor l(r).
-5*(r - 2)**2*(r - 1)
Suppose -u = i - 10, -106*i = -3*u - 103*i. Let p(j) be the third derivative of 7*j**2 - 1/100*j**u + 0*j**3 + 0*j + 1/40*j**4 + 0. Factor p(x).
-3*x*(x - 1)/5
Let s(h) be the third derivative of h**6/220 + h**5/30 - h**4/33 - 63*h**2. Factor s(g).
2*g*(g + 4)*(3*g - 1)/11
Let y(g) = -16*g**2 - 25*g - 30. Let d(i) = -7*i**2 - 13*i - 15. Let u(f) = 14*d(f) - 6*y(f). Suppose u(o) = 0. Calculate o.
-15, -1
Let h(b) be the third derivative of -b**5/60 + 5*b**4/12 + b**2 + 47. Suppose h(p) = 0. Calculate p.
0, 10
Let v(k) be the third derivative of -5*k**8/84 - k**7/14 + k**6/24 - 73*k**2 - 2*k. Factor v(r).
-5*r**3*(r + 1)*(4*r - 1)
Let c(s) be the first derivative of -4/5*s**2 + 16/5*s + 1/15*s**3 + 7. Factor c(g).
(g - 4)**2/5
Let a = -498/5 - -100. Let h = -646/3 + 216. Factor 2/15*o**4 + 0 + 4/15*o - 2/15*o**5 - h*o**2 + a*o**3.
-2*o*(o - 1)**3*(o + 2)/15
Suppose -1620 = -10*v + 1910. Determine j so that v*j + 2 - 353*j - 3*j**4 - 8*j**3 - 6*j**2 - 1 = 0.
-1, 1/3
Let b(w) be the third derivative of -w**6/600 + 51*w**5/100 - 2601*w**4/40 + 44217*w**3/10 - 46*w**2 + 3*w. Find i, given that b(i) = 0.
51
Let c be 1 - (-4 + 2313/505). Let l = c - 2/101. Factor 6/5 + 2/5*v**3 + l*v**2 - 2*v.
2*(v - 1)**2*(v + 3)/5
Let c(z) be the first derivative of -1/7*z**4 - 59 + 0*z - 10/21*z**3 - 2/7*z**2. Factor c(y).
-2*y*(y + 2)*(2*y + 1)/7
Let g(y) be the first derivative of -4*y**3/3 + 960*y**2 - 230400*y + 376. Determine i, given that g(i) = 0.
240
Factor 69/4 + 25/4*k**2 - 1/8*k**3 - 187/8*k.
-(k - 46)*(k - 3)*(k - 1)/8
Find g such that 7*g**3 - g**3 + 3*g**2 - 4*g**3 - 34*g - 35*g**2 = 0.
-1, 0, 17
Let s(g) be the first derivative of g**6/8 - 3*g**5/10 - 3*g**4/4 + 2*g**3 + 74. Solve s(n) = 0.
-2, 0, 2
Let z(r) be the first derivative of -r**6/3 - 38*r**5/5 - 35*r**4 - 414. Factor z(p).
-2*p**3*(p + 5)*(p + 14)
What is z in -229*z**2 - 5*z**3 + 117*z**2 + 97*z**2 = 0?
-3, 0
Let x(v) be the first derivative of 2*v**2 - 50 - 2/3*v**3 + 6*v. Solve x(q) = 0 for q.
-1, 3
Let o be 2/(-6) - 376/(-368). Let f = -1/46 + o. Factor -1 + 1/3*d**2 + f*d.
(d - 1)*(d + 3)/3
Let q = -8 + 6. Let a be (7/(-21))/(q/12). Factor 9 - 5*k**a - 12*k - 9 + 13*k**2 + 4*k**3.
4*k*(k - 1)*(k + 3)
Let a(z) be the first derivative of -z**5/30 - 5*z**4/24 - 7*z**3/18 - z**2/4 + 162. Solve a(s) = 0.
-3, -1, 0
Let o be 5/(-4) + 85/(-68) + (-5)/(-1). Suppose 20 = 5*x, 5*i + 0*x + 5*x - 45 = 0. Let 0 + 45/4*d**3 + o*d + 5/4*d**i + 35/4*d**2 + 25/4*d**4 = 0. Calculate d.
-2, -1, 0
Let g(t) be the third derivative of -1/210*t**5 + 0*t + 1/84*t**4 + 0*t**3 - 1/420*t**6 + 0 - 39*t**2 + 1/735*t**7. What is b in g(b) = 0?
-1, 0, 1
Let y(j) be the third derivative of j**7/1050 + j**6/200 + j**5/100 + j**4/120 - 162*j**2. Factor y(q).
q*(q + 1)**3/5
Let g(m) = 3*m**2 - 4*m + 5. Let d be g(2). What is l in -5*l**4 + d*l + 20*l**3 + 19*l**2 + 36*l**2 + 21*l = 0?
-1, 0, 6
Let m = 81 + -60. Let a be (-1)/4 - m/(-84). Factor a - 1/6*d**4