 the second derivative of -i**6/15 + i**5/2 - 3*i**4/2 + 7*i**3/3 - 2*i**2 + 635*i. Find b, given that c(b) = 0.
1, 2
Let y(c) = -6*c**2 + 109*c - 18. Let t be y(18). Let u(n) be the third derivative of -5*n**2 + 1/108*n**4 + t + 0*n**3 + 1/180*n**5 + 0*n. Factor u(o).
o*(3*o + 2)/9
Let k(p) be the first derivative of -76*p**5/15 - 188*p**4/3 + 80*p**3/9 - 627. Determine q, given that k(q) = 0.
-10, 0, 2/19
Let h(m) = -6*m - 1. Let w be h(-1). Suppose -5*j + w = -5. What is r in 1 - 4*r**2 + 1 + j*r**4 - 11*r + 11*r = 0?
-1, 1
Suppose -5*k + 109 = -31. Let f(b) = b - 7. Let u be f(9). Find l such that -18*l**5 + 6*l**5 + 20*l**4 - 36*l**u + k*l**3 + 10 - 16*l - 11 + 17 = 0.
-1, 2/3, 1, 2
Let s(n) be the third derivative of -15625*n**6/24 - 1875*n**5 - 2250*n**4 - 1440*n**3 + 113*n**2 - 1. Factor s(t).
-5*(25*t + 12)**3
Let g be 2/(-8) + (-72)/(-32). Determine q, given that 8*q**2 + 6*q**4 - 7 + 15*q**3 + 7 - g*q**4 - 3*q = 0.
-3, -1, 0, 1/4
Let h(y) = 6*y - 256. Let k be h(43). Let i = -17/2 + 9. Solve 0 + k*g**2 - 3/2*g - i*g**3 = 0.
0, 1, 3
Factor x**3 - 6*x**2 + 9*x**3 - 13*x**3 + 40*x - 12*x**2 + 5*x**3.
2*x*(x - 5)*(x - 4)
Let t(k) be the second derivative of -k**7/14 + 3*k**5/10 - k**3/2 + 24*k + 2. Factor t(i).
-3*i*(i - 1)**2*(i + 1)**2
Let s(m) be the third derivative of -m**9/3780 + m**8/560 - m**7/315 + 13*m**4/24 + 4*m**2. Let f(i) be the second derivative of s(i). Factor f(o).
-4*o**2*(o - 2)*(o - 1)
Let c(y) = -16*y**4 + 380*y**3 - 792*y**2 + 1216. Let q(n) = 3*n**4 - 69*n**3 + 144*n**2 - 221. Let o(p) = -5*c(p) - 28*q(p). Suppose o(r) = 0. Calculate r.
-1, 3
Let r = -3426 + 34341/10. Let m = -38/5 + r. Factor 0 + 0*p + 1/2*p**3 - m*p**2.
p**2*(p - 1)/2
Let t(n) be the third derivative of -1/168*n**8 + 2/21*n**7 + 28*n**2 + 0*n**5 - 5/12*n**6 + 0*n + 0 + 0*n**3 + 0*n**4. Find p such that t(p) = 0.
0, 5
Suppose 17 = 4*p + 5*o - 7, 2*p - 4*o - 12 = 0. Suppose 4 = p*a - 4*a. Factor 11*z**2 - 4*z**a + 2*z - 5*z**2.
2*z*(z + 1)
Let p(b) be the third derivative of 0*b**3 + 2/735*b**7 + 13/1260*b**6 + 5*b**2 + 2/105*b**5 + 0*b + 1/3528*b**8 + 0 + 1/63*b**4. Solve p(i) = 0.
-2, -1, 0
Let u be (1/(-2))/(-1*3/18). Factor 7*o + u*o + 308*o**2 - 12 - 310*o**2.
-2*(o - 3)*(o - 2)
Let f(y) be the third derivative of -1331*y**7/420 - 8591*y**6/240 + 165*y**5/4 - 229*y**4/12 + 14*y**3/3 + 127*y**2 + y. What is k in f(k) = 0?
-7, 2/11
Suppose -5*s + 19 = -2*v, 0 = -4*v - 6*s + 10*s - 8. Let d(u) be the first derivative of 2*u**v + 8 - 3*u**2 + 0*u - 3/8*u**4. Find c such that d(c) = 0.
0, 2
Let x = -19/10 + 12/5. Suppose 0 = -0*m - 2*m + 6. Let -x - 1/2*n + 1/2*n**m + 1/2*n**2 = 0. Calculate n.
-1, 1
Let j(r) be the second derivative of 2*r**7/7 - 14*r**6/15 - 3*r**5/5 + 11*r**4/3 - 8*r**2 + 22*r - 6. Suppose j(q) = 0. Calculate q.
-1, -2/3, 1, 2
Let j(o) be the first derivative of -o**6/3 - 28*o**5/5 - 33*o**4/2 + 224*o**3/3 - 64*o**2 - 166. Factor j(a).
-2*a*(a - 1)**2*(a + 8)**2
Let l = -573 - -576. Let k(v) be the first derivative of 0*v + 0*v**4 + 1/35*v**5 - 1/42*v**6 - 2 + 0*v**2 + 0*v**l. Solve k(s) = 0.
0, 1
Suppose 0 = -9*d + 45 - 9. Let 3*n**2 + 14 - 12*n**3 - 5*n**2 + 12*n - 14*n**2 + 2*n**d = 0. What is n?
-1, 1, 7
Let j(m) be the second derivative of -m**9/15120 + m**7/1400 + m**6/900 - 5*m**3/6 + 15*m. Let p(w) be the second derivative of j(w). Factor p(b).
-b**2*(b - 2)*(b + 1)**2/5
Factor -8/7*z**2 + 4/7*z + 4/7*z**3 + 0.
4*z*(z - 1)**2/7
Suppose 2*s - 1/2*s**4 - 3/2*s**2 + 2 - 2*s**3 = 0. Calculate s.
-2, -1, 1
What is g in -5*g**4 - 63*g**2 + 54*g + 1/3*g**5 + 27*g**3 + 0 = 0?
0, 3, 6
Let n(c) be the first derivative of -c**7/2240 - c**6/320 - 3*c**5/320 - c**4/64 + 2*c**3 - 15. Let r(w) be the third derivative of n(w). Factor r(o).
-3*(o + 1)**3/8
Let i(c) be the third derivative of -2*c**2 + 0*c + 1/12*c**4 - 1/330*c**6 + 0 - 1/110*c**5 + 2/11*c**3. What is x in i(x) = 0?
-3, -1/2, 2
Find y such that -y**5 + 79*y**3 - 8*y + 2*y**4 - 3*y**4 - 24*y**3 - 50*y**3 + y**2 + 4 = 0.
-2, 1
Factor -6/7*o**2 + 0*o + 0 + 9/7*o**3 + 0*o**4 - 3/7*o**5.
-3*o**2*(o - 1)**2*(o + 2)/7
Let w(j) be the first derivative of j**5/2 + j**4/3 - 5*j**3/3 - 2*j**2 + 5*j + 11. Let s(a) be the first derivative of w(a). Find m such that s(m) = 0.
-1, -2/5, 1
Let p(r) be the second derivative of -7*r**5/5 + 23*r**4/3 - 40*r**3/3 + 8*r**2 - 52*r + 5. Determine v so that p(v) = 0.
2/7, 1, 2
Let o(m) = 12*m**2 - 66*m - 51. Suppose 0*v + 4*v - 8 = 0. Let j(c) = 4 - 5*c - c**v + 2*c**2 - 8. Let g(n) = 27*j(n) - 2*o(n). Find d, given that g(d) = 0.
-1, 2
Let a be 1780/979 + -3*(-4)/66. Factor -3*q**2 - 40*q**3 + q - 9*q - 33*q**a - 52*q**4 + 136*q**3.
-4*q*(q - 1)**2*(13*q + 2)
Factor 1/2*v**3 + 1/2*v**2 - v + 0.
v*(v - 1)*(v + 2)/2
Suppose -4 = -6*k + k - 4*w, 0 = k + 4*w + 12. Let z(i) = 3*i**2 - 1. Let v be z(-1). Factor -v*r**2 - r**4 + 3*r**k + 2*r**4 - 2*r**4.
2*r**2*(r - 1)*(r + 1)
Let c be 0 + ((-2)/(-1) - (5 - 9)). Let -5*y + c*y**2 + 0*y**5 + 14*y**2 - 5*y**5 + 20*y**4 - 30*y**3 = 0. What is y?
0, 1
Let r(w) = -21*w**4 + 6*w**3 + 30*w**2 + 39*w. Let x(g) = -5*g**4 + g**3 + 8*g**2 + 10*g. Let k(b) = -2*r(b) + 9*x(b). Find f such that k(f) = 0.
-2, -1, 0, 2
Let a = 5678 + -5674. Suppose -4/5*n**3 + 2/5*n + 4/5*n**2 - 2/5*n**a - 2/5 + 2/5*n**5 = 0. Calculate n.
-1, 1
Let u be (-1290)/300 - (-1)/(-2). Let a = u + 77/15. Determine y so that -a*y**2 - 1/3*y + 2/3 = 0.
-2, 1
Determine n, given that 8*n**3 - 2*n**5 + 98*n**2 + 14*n**4 - 40*n**4 - 25*n**3 - 6*n**3 - 47*n**3 = 0.
-7, 0, 1
Suppose 2*m + 2*m + 24 = 0. Let l(h) = h**2 + 5*h - 4. Let r be l(m). Find c, given that -13/6*c**3 - 2/3*c - 1/6*c**5 + c**4 + 2*c**r + 0 = 0.
0, 1, 2
Let g(x) be the second derivative of -5*x**4/102 + 14*x**3/51 + 105*x. Factor g(y).
-2*y*(5*y - 14)/17
Let o = 69 - 69. Factor y**3 - 4*y**3 + 6*y + o*y**2 - 9*y**2 + 6*y**3.
3*y*(y - 2)*(y - 1)
Let u = 42/59 + -4797/6490. Let d = 173/110 - u. Determine i, given that d*i**2 - 2/5*i**5 - 12/5*i**3 + 8/5*i**4 + 0 - 2/5*i = 0.
0, 1
Let k be ((-8)/6)/((-6)/27). Factor -28*d + 8*d**3 - 4*d**3 - k*d**2 - 16 - 2*d**2.
4*(d - 4)*(d + 1)**2
Let p(t) = t**3 - 7*t**2 + 5*t + 10. Let l = 129 + -123. Let s be p(l). Suppose 0 + 0*u + 0*u**3 - 3/5*u**2 + 3/5*u**s = 0. Calculate u.
-1, 0, 1
Let b(v) be the second derivative of v**5/5 - 13*v**4/3 + 32*v**3 - 72*v**2 + 86*v + 2. Determine s so that b(s) = 0.
1, 6
Let a(q) = 19*q**2 + q + 2*q**3 - 9*q**2 + 5*q + 2. Let n(i) = 10*i**3 + 51*i**2 + 30*i + 11. Let x(b) = -11*a(b) + 2*n(b). Determine s, given that x(s) = 0.
-3, -1, 0
Let s(m) be the second derivative of m**5/20 - 10*m**4/3 + 13*m**3/2 - 19*m + 6. Factor s(l).
l*(l - 39)*(l - 1)
Let w(v) = -10*v**2 + 60*v + 8. Let x be w(6). Let -8*q**2 - 4/3*q**3 + 4/3*q + 0 + x*q**4 = 0. What is q?
-1, 0, 1/6, 1
Let x be ((-6)/(-140))/((-10)/(-25)*6). Let t = x - -109/168. What is y in -1/3*y + 0 - t*y**2 - 1/3*y**3 = 0?
-1, 0
Suppose 5*d - 5*d + 7*d = -0*d. Factor 3/5*k + 0*k**2 + d - 3/5*k**3.
-3*k*(k - 1)*(k + 1)/5
Let b be 2/(-9) + ((-3165)/(-7560) - 9/(-24)). Factor 0*v + 0*v**2 + 2/7*v**4 + 0 + b*v**3.
2*v**3*(v + 2)/7
Let k(p) be the third derivative of -p**5/300 - p**4/60 + p**3/10 - 118*p**2. Factor k(x).
-(x - 1)*(x + 3)/5
Suppose 3*y + 2*s - s - 3 = 0, 2*y + 3*s = -5. Suppose 4 + t - 3*t**2 + 39*t - y*t**2 - 39 = 0. What is t?
1, 7
Let g be 2/7 + -1 + 1996/2520. Let i(q) be the third derivative of 2/9*q**4 + 11*q**2 - 1/36*q**6 + 0 + 0*q - 4/9*q**3 + g*q**5. Factor i(v).
-2*(v - 2)*(v + 1)*(5*v - 2)/3
Let d(r) = -5*r**3 + 14*r**2 + 4*r. Let s(f) = f**2 + f. Let o(n) = -d(n) + 4*s(n). Let o(q) = 0. What is q?
0, 2
Suppose -10/3*f**2 - 56/3*f + 8/3*f**3 + 88/3 = 0. What is f?
-11/4, 2
Let v = -156 + 157. Let d be -3 - (-49)/13*v. Factor 4/13*k + 0 + d*k**2.
2*k*(5*k + 2)/13
Let c(q) be the first derivative of -2*q**3/39 + 74*q**2/13 - 2738*q/13 + 23. Suppose c(n) = 0. Calculate n.
37
Suppose 0 = -0*a + 5*a - 360. Let w = 74 - a. Determine b so that 3/7*b**w + 9/7*b**3 + 3/7 - 9/7*b - 6/7*b**4 = 0.
-1, 1/2, 1
Let c(p) be the third derivative of -p**5/15 + 77*p**4/3 - 11858*p**3/3 - 23*p**2. Solve c(g) = 0 for g.
77
Let q(m) be the first derivative of 1/30*m**6 + 8/15*m**3 - 40 - 3/10*m**4 + 0*m + 0*m**5 - 3/10*m**2. Determine g, given tha