9659/28. Suppose -4/7 - 1/7*r**3 - 8/7*r - c*r**2 = 0. Calculate r.
-2, -1
Find l, given that 576 - 73*l**2 + 9423*l**3 - 3*l**4 + 360*l + 5*l**4 - 9469*l**3 + 9*l**2 = 0.
-2, 3, 24
Let p(m) = -7*m + 121. Let h be p(17). What is r in 4*r**5 - 78*r + 98*r - 5*r**5 + 17*r**3 + 52*r**h - 16*r**2 = 0?
-2, -1, 0, 5
Let l(i) be the second derivative of i**8/1960 - i**7/588 + i**6/1260 + i**5/420 - i**3/3 + i**2 + 25*i. Let g(c) be the second derivative of l(c). Factor g(w).
2*w*(w - 1)**2*(3*w + 1)/7
Factor 0 - 174/5*x - 84/5*x**3 - 259/5*x**2 + 1/5*x**4.
x*(x - 87)*(x + 1)*(x + 2)/5
Suppose a = -5*n + 14, -10520*a + 10521*a = -2*n + 2. What is x in 15972/7 + 87/7*x**3 - 3/7*x**n - 99*x**2 - 363/7*x = 0?
-4, 11
Let h(v) be the third derivative of -4/75*v**3 - 1/75*v**4 + 0*v - 13 + 1/750*v**5 + 1/1500*v**6 - 2*v**2. What is b in h(b) = 0?
-2, -1, 2
Let q(w) be the second derivative of w**6/15 + 13*w**5/40 - 3*w**4/4 + 32*w**3/3 - 63*w. Let y(z) be the second derivative of q(z). Factor y(f).
3*(f + 2)*(8*f - 3)
Find n, given that -41/11*n**2 - 58/11*n - 19/11 - 2/11*n**3 = 0.
-19, -1, -1/2
Let l = 114570 + -114570. Factor 0*f - 2/11*f**4 - 2/11*f**2 + 4/11*f**3 + l.
-2*f**2*(f - 1)**2/11
Let g(p) be the second derivative of -1 - 234*p + 1/80*p**5 + 119/8*p**3 - 3/4*p**4 - 289/4*p**2. Suppose g(s) = 0. What is s?
2, 17
Let f be (1 - 1*(0 + 3)) + -42. Let o = f + 46. Factor 58*y**4 + y**2 - o*y**2 + 4*y**2 - 3*y**3 - y - 57*y**4.
y*(y - 1)**3
Let g(o) be the second derivative of 0 + 0*o**3 + 1/30*o**6 - 3/20*o**5 + 0*o**4 + 0*o**2 + 87*o. Factor g(s).
s**3*(s - 3)
Let f be (-4)/(-18) + 34/9. Factor 45 - 6*j - 4 - 17 - 51*j**2 + 9*j**f + 24*j**3.
3*(j - 1)**2*(j + 4)*(3*j + 2)
Suppose 4*h = -2*p + 10, 6*p - 3*p = 4*h - 25. Suppose -5*s + h*j - j = -42, 4*j - 14 = -5*s. Solve -4*x**2 - 16*x - 10 - 8 + s = 0 for x.
-3, -1
Let y(u) be the second derivative of 13/3*u**3 - 1/270*u**6 + 0*u**2 - 1/9*u**4 + 1/30*u**5 + 0 - 14*u. Let c(r) be the second derivative of y(r). Factor c(i).
-4*(i - 2)*(i - 1)/3
Let y(f) be the first derivative of -f**5/12 - 5*f**4/3 - 35*f**3/6 + f**2/2 - 4*f + 42. Let k(s) be the second derivative of y(s). Find q such that k(q) = 0.
-7, -1
Suppose -18*w - 96 = -600. Suppose -o = -w*o. Factor 1/6*q**5 + 0 + 2/3*q**4 + 0*q + 2/3*q**3 + o*q**2.
q**3*(q + 2)**2/6
Suppose 38*z - 24*z - 1050 = 0. Let f be (-6)/(-45) + 15/z. Factor 2/3*t**3 - 1/3*t - 1/3 - 1/3*t**4 + 2/3*t**2 - f*t**5.
-(t - 1)**2*(t + 1)**3/3
Suppose 0 = -13*k + 1070 + 1426. Factor -11169*q**2 + 11139*q**2 + 512 - k*q - 5*q**3 + 4*q**3.
-(q - 2)*(q + 16)**2
Let c(d) = -4*d**4 - 9*d**3 - 13*d + 13. Let a(b) = 2*b**4 + 4*b**3 + 6*b - 6. Let k = -22 + 16. Let h(l) = k*c(l) - 13*a(l). What is t in h(t) = 0?
0, 1
Let c(m) be the second derivative of -m**4/12 - 83*m**3/6 - 741*m**2 + 726*m - 2. Find t, given that c(t) = 0.
-57, -26
Let j(p) be the third derivative of 0 + 0*p**6 + 0*p + 0*p**3 + 5/12*p**4 - 1/4*p**5 + 1/42*p**7 - 29*p**2. Factor j(d).
5*d*(d - 1)**2*(d + 2)
Suppose 0 = t - j - 76, -35*j + 31*j = -5*t + 382. Suppose 0*d - t = -39*d. What is v in -1/7*v**d - 6/7 - v = 0?
-6, -1
Factor -2033*q**2 - 761*q**2 - 300*q + 4*q**3 + 5490*q**2 + 2992*q.
4*q*(q + 1)*(q + 673)
Let n = 194006 - 194006. Suppose 4/5*k + n - 2/5*k**2 = 0. What is k?
0, 2
Factor -462/5*y - 16/5 + 58/5*y**2.
2*(y - 8)*(29*y + 1)/5
Let v(u) be the second derivative of -7*u**5/30 - 5*u**4/12 + 2*u**3/3 + 8*u**2 + 80*u. Let r(n) be the first derivative of v(n). Factor r(b).
-2*(b + 1)*(7*b - 2)
Let t(k) be the third derivative of -5*k**8/84 + 13*k**7/42 - 5*k**6/8 + 7*k**5/12 - 5*k**4/24 - 6384*k**2. Let t(z) = 0. What is z?
0, 1/4, 1
Let r(y) be the third derivative of 15*y**3 + 3/8*y**6 + 0 + 155/8*y**4 + 188*y**2 + 0*y + 14/3*y**5. Solve r(x) = 0.
-3, -2/9
Suppose -2779*j - 63 = -3*m - 2782*j, -2*m = -6*j + 126. Suppose 5*h - 4*k - 10 = -0*k, 5*h + 4*k - 10 = 0. Factor m*g + 1/2*g**h - 1/2.
(g - 1)*(g + 1)/2
Let l = -41 + 43. Suppose -95*i**l + 7*i**4 - 2903*i + 2853*i - 40*i**3 - 2*i**4 = 0. What is i?
-1, 0, 10
Let k(r) = -49*r + 1. Let s(c) = c**2 - 36*c. Let d(f) = -5*k(f) + 6*s(f). Suppose d(z) = 0. Calculate z.
-5, 1/6
Let y(s) = s**2 + 7*s + 11. Let f be y(-6). Factor -34*a**4 - 16*a + 4*a**5 - 4*a**5 + 2*a**f + 4*a**5 + 60*a**3 - 24*a**2.
2*a*(a - 2)**3*(3*a + 1)
What is i in -20 - 2/5*i**2 + 54/5*i = 0?
2, 25
Let t(i) be the first derivative of -21*i**4/2 - 101*i**3 - 315*i**2/2 - 54*i + 1016. Determine x, given that t(x) = 0.
-6, -1, -3/14
Find v, given that 40*v - 39/2*v**4 + 0 + 18*v**2 - 76*v**3 = 0.
-4, -2/3, 0, 10/13
Let r(f) be the second derivative of -f**8/23520 - f**7/2205 - 3*f**4/4 - 2*f**3/3 - 47*f - 1. Let w(y) be the third derivative of r(y). Solve w(u) = 0.
-4, 0
Let v = 73859/147706 + -3/73853. Factor -2 + 3/2*d**2 - 2*d + 2*d**3 + v*d**4.
(d - 1)*(d + 1)*(d + 2)**2/2
Let j be (5 + 1)*(-400)/1350 - (-4 + 2). Factor 2 + j*h**2 - 20/9*h.
2*(h - 9)*(h - 1)/9
Let g = 35203 - 35191. Let h(d) be the first derivative of -49/26*d**4 - 228/13*d**2 + 64/13*d - g + 280/13*d**3. Factor h(l).
-2*(l - 8)*(7*l - 2)**2/13
Determine d so that 800/3*d - 112/3 + 28/3*d**4 - 28*d**2 - 200/3*d**3 = 0.
-2, 1/7, 2, 7
Let p = 281 - 225. Suppose p = 3*s + 11*s. Factor 2/9*y**2 - 4/9 + 2/3*y + 2/9*y**s - 2/3*y**3.
2*(y - 2)*(y - 1)**2*(y + 1)/9
Let c(s) = -65*s - 2142. Let d be c(-33). Let w(t) be the first derivative of -16 - 72*t - 6*t**2 - 1/6*t**d. Suppose w(o) = 0. Calculate o.
-12
Let o be (22/110)/(48/(-1350)) - -3*2. Suppose o*j**2 - 3/2 + 0*j = 0. Calculate j.
-2, 2
Solve 39737*t**4 - 39747*t**4 - 2 + 4 - 2 + 40*t**2 - 8*t**3 + 2*t**5 = 0 for t.
-2, 0, 2, 5
Let v = 493 + -472. Factor 4 + 0 - v*z - 6 + 3*z**2 - 12 - 10.
3*(z - 8)*(z + 1)
Let c be ((0 - 0) + -12)/(-22*21/154). Let u(g) be the first derivative of 1/16*g**4 + 1/2*g**2 + 1/3*g**3 + c + 0*g. Factor u(p).
p*(p + 2)**2/4
Let n be 52/9 + 24/108. Let -12*k**4 - 18*k**2 + 3*k**5 - n*k**5 + 12*k**2 - 15*k**3 = 0. Calculate k.
-2, -1, 0
Let i(v) be the first derivative of -v**3 + 3429*v**2 - 3919347*v + 5809. Factor i(g).
-3*(g - 1143)**2
Factor -225/2*j**2 + 0 + 3/2*j**4 - 54*j**3 - 57*j.
3*j*(j - 38)*(j + 1)**2/2
Let c(w) = -8*w + 171. Let d be c(21). Let q be d/(-6) + 6 + (-42)/12. Let 2/7*n**3 + 0*n**q + 4/7 - 6/7*n = 0. Calculate n.
-2, 1
Let i = -2807/47 - -5755/94. Factor 1/2*f**3 + i*f**2 + 0 + f.
f*(f + 1)*(f + 2)/2
Solve -88/5*f**2 + 64 + 2/5*f**4 - 48/5*f + 12/5*f**3 = 0.
-10, -2, 2, 4
Suppose -9*t - 14 = -16*t. Solve 2*k**2 - t*k**5 + 3*k - 3*k - 6*k**4 + 4*k**4 + 2*k**3 = 0.
-1, 0, 1
Factor 290*q + 1626*q**2 + 298*q - 926*q**2 + q**5 + 27*q**3 + 60*q**3 - 24*q**4.
q*(q - 14)**2*(q + 1)*(q + 3)
Let m = 179 + -177. Factor -11 - 20*x**m - 2*x**3 - 64*x - 28 - 25.
-2*(x + 2)*(x + 4)**2
Suppose 31*h + 2898 - 20258 = 0. Let i be 126/h - (-6)/16. Factor i*f**2 - 1/5*f**4 + 2/5*f + 0 + 0*f**3.
-f*(f - 2)*(f + 1)**2/5
Suppose -8*z = -z + 2457. Let h be (-1)/(-12) + (7 - z/(-52)). Solve 0 + h*f**2 - 1/6*f**3 + 0*f - 1/3*f**4 + 1/6*f**5 = 0.
-1, 0, 1, 2
Let o be 10/(-4)*44/55. Let i be o/49*(-11 + -9 - -13). Find l such that -12/7 + 2*l - i*l**2 = 0.
1, 6
Let k(i) = 5*i**4 + i**3 + 8*i. Let p(y) = -4*y**4 + 2*y**3 + 552*y - 559*y - 2*y**3. Suppose 5*l + 7 = -8. Let u(d) = l*k(d) - 4*p(d). Factor u(r).
r*(r - 2)**2*(r + 1)
Let u(t) be the second derivative of t**4/18 + 332*t**3/9 + 27556*t**2/3 - 7*t + 41. Factor u(h).
2*(h + 166)**2/3
Suppose -4*k - 3 = -5*k + 5*y, 3*k - 25 = -y. Suppose k = -7*s + 22. Factor 13*t + 4*t - t**s - 2*t**2 - 3 - 23*t.
-3*(t + 1)**2
Let m = -1187548987/782376 - -2/97797. Let y = m + 1518. Suppose -121/8 - y*u**2 - 11/4*u = 0. Calculate u.
-11
Let t(r) be the third derivative of r**6/24 - 169*r**5/4 + 142805*r**4/8 - 24134045*r**3/6 + 1020*r**2 + r. Suppose t(v) = 0. What is v?
169
Suppose -173 = 8*b - 117. Let q(l) = -l**3 - 5*l**2 + 12*l - 12. Let n be q(b). Find j, given that -10/11*j + 4/11 - 4/11*j**n + 10/11*j**3 = 0.
-1, 2/5, 1
Let x = -11166 - -11169. Factor -8/7*t + 2/7*t**x + 0 - 8/7*t**2 + 2/7*t**4.
2*t*(t - 2)*(t + 1)*(t + 2)/7
Let o(u) be the first derivative of -u**6/39 + 6*u**5/65 + 11*u**4/26 - 2*u**3/13 - 10*u**2/13 - 708. Suppose o(r) = 0. What is r?
-2, -1, 0, 1, 5
Factor 1 + 1613*