= k**3 + 170*k**2 + 3521*k + 408. Let w be o(-24). Solve 0 + 1/8*i**4 + w*i + 3/4*i**2 - 7/8*i**3 = 0 for i.
0, 1, 6
Let c(h) be the first derivative of h**6/240 + 23*h**5/80 + 2*h**3/3 + 173*h + 224. Let g(w) be the third derivative of c(w). Factor g(q).
3*q*(q + 23)/2
Let v(z) be the first derivative of -3*z**2 - 10*z - 1/6*z**3 - 148. Factor v(i).
-(i + 2)*(i + 10)/2
Let o(r) = 12*r + 1. Let v(q) = -3*q**2 - 4902*q - 1963447. Let g(l) = 4*o(l) + v(l). Let g(s) = 0. What is s?
-809
Let b(m) = -m**4 + m**2 + 1. Let l = -72 + 77. Suppose 6*a + l = 23. Let x(z) = -2*z**4 + 10*z**3 + 2*z**2 - 10*z - 3. Let h(u) = a*b(u) + x(u). Factor h(t).
-5*t*(t - 2)*(t - 1)*(t + 1)
Let y(r) be the third derivative of -r**6/300 + 12*r**5/25 - 71*r**4/60 + 411*r**2. Find t such that y(t) = 0.
0, 1, 71
Let h(x) be the third derivative of 0*x - 8*x**2 - 5/8*x**4 + 3*x**3 + 0 + 1/20*x**5. Factor h(v).
3*(v - 3)*(v - 2)
Let o be ((-3)/15)/(22/380 + ((-2263)/(-589) - 4)). Find r, given that 4/9*r**o + 0 + 8/9*r - 4/9*r**3 = 0.
-1, 0, 2
Let u(k) be the first derivative of -k**3/8 - 27*k**2/16 + 15*k/4 + 3383. Factor u(v).
-3*(v - 1)*(v + 10)/8
Let v(p) be the second derivative of -p**7/21 + 74*p**6/5 + 9895*p. Find a such that v(a) = 0.
0, 222
Let q(z) be the third derivative of 5/3*z**5 + 0*z + 0 + 7/24*z**6 - 5/6*z**4 - 80/3*z**3 - 162*z**2. Factor q(o).
5*(o + 2)**2*(7*o - 8)
Let n(h) be the first derivative of -9*h**5/5 - 417*h**4/4 + 251*h**3 + 1593*h**2/2 + 432*h + 4823. Let n(k) = 0. Calculate k.
-48, -1, -1/3, 3
Let r(k) be the first derivative of -k**4/20 + 7*k**3/15 - 3*k**2/5 + 835. Suppose r(p) = 0. Calculate p.
0, 1, 6
Suppose -7*a + 384 = 2*j - 11*a, -382 = -2*j + 5*a. Let b = 201 - j. Suppose -5/2*p**2 + b + 5/2*p = 0. Calculate p.
-1, 2
Let a(k) be the first derivative of 40*k + 98*k**2 - 4*k**4 + 39 + 140/3*k**3. Determine x, given that a(x) = 0.
-1, -1/4, 10
Let u(x) = 9*x**2 - 64*x - 19. Suppose -5*g = -143 + 108. Let m(a) = -11*a**2 + 65*a + 19. Let o(l) = g*u(l) + 6*m(l). Factor o(f).
-(f + 19)*(3*f + 1)
Let b(f) = -3*f**3 - 2*f**2 - 13*f - 12. Let a be b(-1). Factor -9*x + 9*x - 7*x**a + 6*x**3 - 5*x**4 + 6*x**4.
x**2*(x - 1)*(x + 7)
Let l(b) = -b**5 - 3*b**4 + b**3 + 2*b. Let t(h) = -6*h**5 + 227*h**4 + 15382*h**3 - 248*h**2 - 15362*h. Let o(c) = -21*l(c) + 3*t(c). Solve o(r) = 0 for r.
-124, -1, 0, 1
Let x(p) be the second derivative of p**5/20 + 49*p**4/36 + 46*p**3/9 - 14*p**2 + 1430*p. Factor x(o).
(o + 3)*(o + 14)*(3*o - 2)/3
Let v = 25714 - 25711. Let o(c) be the second derivative of 0*c**4 + 29*c - 12*c**2 + 14/3*c**v + 0 - 1/5*c**5. Factor o(f).
-4*(f - 2)*(f - 1)*(f + 3)
Let w be (77/22)/((-1)/(-2)). Suppose 9 + 2 = 3*u + 2*i, -2*u + w = i. Suppose 24*g**4 - 3*g**2 - 2*g**3 - g**u - 21*g**4 + 2*g + g = 0. What is g?
-1, 0, 1
Let p(f) be the second derivative of f**5/480 + f**4/64 + 25*f**2/2 + 12*f. Let u(w) be the first derivative of p(w). Factor u(c).
c*(c + 3)/8
Factor -1/2*q**4 - 7*q**3 + 13/2 + 7*q - 6*q**2.
-(q - 1)*(q + 1)**2*(q + 13)/2
Let d(j) = -j**3 - j**2 + j. Let g(t) = -t**4 + 14*t**3 + 156*t**2 + 370*t + 225. Let s(a) = 12*d(a) - 3*g(a). Factor s(l).
3*(l - 25)*(l + 1)*(l + 3)**2
Find n, given that 1649785 - n**5 - 90*n**4 - 174*n**2 - 263*n**3 - 1649785 = 0.
-87, -2, -1, 0
Let w be (-6)/1*(-39)/78. Let v(i) be the third derivative of 1/135*i**6 + 1/54*i**w + 0*i + 1/270*i**5 - 5/216*i**4 + 0 + 4*i**2. What is c in v(c) = 0?
-1, 1/4, 1/2
Let v = -28063 + 28063. Let c(y) be the third derivative of -1/150*y**5 + 0 + 2/3*y**3 - 26*y**2 + 3/20*y**4 + v*y. Let c(p) = 0. Calculate p.
-1, 10
Let z(d) be the second derivative of -3*d**5/20 - 97*d**4/4 + 412*d**3 - 2520*d**2 + 1291*d + 1. Let z(b) = 0. What is b?
-105, 4
Let k(z) be the third derivative of -2*z**7/735 + 71*z**6/420 + 191*z**5/210 - 8*z**4/21 - 76*z**3/7 + 21*z**2 + 7*z - 2. Find f such that k(f) = 0.
-2, -3/2, 1, 38
Suppose 5*q + u = 14, -5*q - 3*u + 39 = 27. What is x in 0*x + 10/3*x**2 - 2/3*x**4 - 8/3 + 0*x**q = 0?
-2, -1, 1, 2
Let a = -114 - -142. Factor i**3 - a*i - i**2 + i**4 + 0*i**2 - 38*i + 65*i.
i*(i - 1)*(i + 1)**2
Let g = 91 + -94. Let d be (-3)/(g/4 - 0). Solve 4*v**4 + 12*v**4 - 12*v**d + 8*v**3 = 0.
-2, 0
Let j(y) be the third derivative of y**8/2016 - y**7/630 - y**6/180 + y**5/180 + y**4/48 + 35*y**2 - 2. Factor j(b).
b*(b - 3)*(b - 1)*(b + 1)**2/6
Suppose -l - z = 0, 0*l + z = -5*l + 12. Suppose 0 = v - 92 + 88. Factor 104*p**l - 116*p**3 + 14*p**v - 6*p**4 + 4*p.
4*p*(p - 1)**2*(2*p + 1)
Let c(y) be the first derivative of -y + 43 + 1/12*y**6 + 2/5*y**5 - 1/3*y**3 + 1/2*y**4 - 5/4*y**2. Factor c(h).
(h - 1)*(h + 1)**3*(h + 2)/2
Let a = -6054/43 + 30657/215. Let -6/5*m - 3/5*m**2 + a = 0. Calculate m.
-3, 1
Let 5832/7 + 2/7*i**2 + 216/7*i = 0. What is i?
-54
Let h be (-6)/95*(-24890)/1965. Solve 152/5*r + 156/5 - h*r**2 = 0 for r.
-1, 39
Suppose 4*w + 10 = -5*l, -l + 6*l = -2*w. Let s(i) be the second derivative of -1/48*i**4 + 0 + 0*i**3 + 16*i + 0*i**l. Factor s(r).
-r**2/4
Let b(w) be the second derivative of -3*w**4/2 - 1763*w**3/21 + 4*w**2 - 315*w + 16. Determine f so that b(f) = 0.
-28, 1/63
Let i(y) be the second derivative of -11*y**6/75 - 431*y**5/50 - 446*y**4/15 - 148*y**3/15 + 5662*y. Find j, given that i(j) = 0.
-37, -2, -2/11, 0
Let o(w) be the first derivative of w**6/24 + w**5/16 - 5*w**4/12 - 5*w**3/6 + 42*w + 55. Let z(d) be the first derivative of o(d). Factor z(u).
5*u*(u - 2)*(u + 1)*(u + 2)/4
Let a be 50690/17125 + (-3)/(-75). Determine u, given that -18/5*u**4 + 24/5*u - 12*u**a + 0 + 54/5*u**2 = 0.
-4, -1/3, 0, 1
Let m be (1 - -2)*240/9 - -4. Suppose -3*x**4 + 268*x**2 + 8*x**4 + 447*x**2 + m*x**3 + 31*x**3 + 605*x = 0. What is x?
-11, -1, 0
Let f(l) be the second derivative of 0 - 1/6*l**3 + 200*l - 1/4*l**4 + 1/20*l**5 + 3/2*l**2. Solve f(w) = 0.
-1, 1, 3
Let q(b) = -9*b**5 + 9*b**4 + 15*b**3 + 6*b**2 - 18*b. Let h(w) = -16*w**5 + 17*w**4 + 28*w**3 + 6*w**2 - 34*w. Let f(g) = -3*h(g) + 5*q(g). Factor f(r).
3*r*(r - 2)**2*(r + 1)**2
Let k be 3/((-155)/(-10) - 2). Let z be (-1230)/(-1025) + 8/10. Factor k - 2/9*u**z + 1/9*u**3 - 1/9*u.
(u - 2)*(u - 1)*(u + 1)/9
Let n(z) be the second derivative of -3*z**5/80 - 19*z**4/8 - 169*z**3/8 - 99*z**2/2 + 1247*z - 1. Solve n(d) = 0 for d.
-33, -4, -1
Let l(r) = 13*r**2 + 1771*r + 387101. Let w(z) = -6*z**2 - 885*z - 193555. Let g(h) = -5*l(h) - 11*w(h). Solve g(i) = 0.
-440
Let r(v) be the first derivative of -v**6/3 - 2*v**5 + 15*v**4 + 40*v**3/3 - 200*v**2 + 384*v + 2237. Determine s so that r(s) = 0.
-8, -3, 2
Let r(x) = -72*x**2 + 5379*x + 21. Let v(w) = -7*w**2 + 538*w + 2. Let a(h) = -2*r(h) + 21*v(h). What is b in a(b) = 0?
0, 180
Let k(l) be the first derivative of -l**6/720 - 7*l**5/120 - l**4/2 + 70*l**3 - 84. Let i(g) be the third derivative of k(g). Find d, given that i(d) = 0.
-12, -2
Let n(q) be the third derivative of -q**5/210 + 2*q**4/7 - 44*q**3/21 + 1896*q**2. Find v such that n(v) = 0.
2, 22
Let h = 37 + -40. Let z be (-207)/(-135) - h/(-9). Factor z*j + 3/5 + 3/5*j**2.
3*(j + 1)**2/5
Suppose 83 - 63 = 5*h. Suppose 21*t - 16*t - 22 = b, -h*b = 8. Solve -16/5*r**2 + 4/5*r + 21/5*r**3 - 9/5*r**t + 0 = 0 for r.
0, 2/3, 1
Factor 1839/4*n**2 + 1/4*n**3 + 846399/4*n + 844561/4.
(n + 1)*(n + 919)**2/4
Let h be 229/7*(-322)/(-21436). Let i = 2/233 + h. Determine f, given that -1/2*f**3 + 1/8 - i*f + 3/4*f**2 + 1/8*f**4 = 0.
1
Let f(c) = c + 6. Let m be f(10). Suppose -152*p**3 + 8*p**4 + 2*p + 164*p**3 - 18*p - 4*p**5 - m*p**2 = 0. Calculate p.
-1, 0, 2
Let r be (-6)/(-75)*-5*-10. Factor -8*c**3 - 3*c**r + 3299*c**2 - 3314*c**2 + 2*c**4.
-c**2*(c + 3)*(c + 5)
Let a(b) be the second derivative of b**6/600 + b**5/300 - b**4/60 - 45*b**2/2 + 191*b. Let v(n) be the first derivative of a(n). Solve v(x) = 0 for x.
-2, 0, 1
Let a(c) be the second derivative of -3*c**5/80 - 139*c**4/16 + 577*c**3/8 + 2145*c**2/8 - 3952*c. Factor a(m).
-3*(m - 5)*(m + 1)*(m + 143)/4
Let u(h) be the third derivative of 0*h + 1/180*h**6 + 34/135*h**5 - 23/108*h**4 + 0*h**3 - 130*h**2 + 0. Factor u(x).
2*x*(x + 23)*(3*x - 1)/9
Let k be (138/18 - 8)/(10*6/(-288)). Suppose -1 - 3 = b, -3*l - 3 = 3*b. What is z in -6/5*z - 2/5*z**l + 0 + k*z**2 = 0?
0, 1, 3
Let u be ((0 + 3)/3)/(4/20). Let p(