 0. Calculate j.
0, 2/5
Let v(l) be the first derivative of 3*l**4/32 - 7*l**3/8 + 3*l**2/2 + 6*l + 153. Factor v(x).
3*(x - 4)**2*(x + 1)/8
Let w be (-1704)/192 - 9/(-1). Let k = 1 + -1. Factor -w*n**4 + 0*n**3 + 1/8*n**2 + k*n + 0.
-n**2*(n - 1)*(n + 1)/8
Suppose 1/3*b**3 + 1/3*b**2 - 2/3*b + 0 = 0. What is b?
-2, 0, 1
Let y(i) be the third derivative of i**7/504 - i**6/72 + i**5/24 + 3*i**4/4 - 12*i**2. Let z(r) be the second derivative of y(r). Solve z(w) = 0 for w.
1
Let q be (-112)/(-48) + 1*(-3)/9. Let t(x) be the first derivative of 0*x**4 + 0*x + 2/25*x**5 + 0*x**q - 9 - 2/15*x**3. Find r such that t(r) = 0.
-1, 0, 1
Let j(l) = -l**3 - l**2 - l. Let d(h) = -7*h**3 + 149*h**2 - 295*h + 144. Let w(i) = -d(i) + 3*j(i). Factor w(m).
4*(m - 36)*(m - 1)**2
Let i(h) be the first derivative of h**7/168 - h**6/12 - 7*h**3 + 6. Let x(b) be the third derivative of i(b). Factor x(u).
5*u**2*(u - 6)
Let y(r) be the second derivative of -r**6/60 + r**4/8 - r**3/6 + 5*r - 5. Suppose y(i) = 0. Calculate i.
-2, 0, 1
Let l(f) be the third derivative of -1/4*f**6 - 1/3*f**4 + 18*f**2 + 0*f + 1/30*f**7 + 0 + 0*f**3 + 3/5*f**5. Factor l(v).
v*(v - 2)**2*(7*v - 2)
Suppose -3*k + 35 = 2*k. Suppose -4*d = 2*d. Factor 3*t + 2*t**2 + d*t - k*t - 30*t**3 + 32*t**3.
2*t*(t - 1)*(t + 2)
Let n(k) be the second derivative of -5*k**9/10584 - k**8/735 - k**7/2940 + k**6/630 + 19*k**3/6 - 29*k. Let m(q) be the second derivative of n(q). Factor m(p).
-2*p**2*(p + 1)**2*(5*p - 2)/7
Suppose 5*n**3 - 38449*n**2 - 45 + 3*n**4 + 38515*n**2 + 22*n**3 - 51 = 0. What is n?
-4, -2, 1
Let r = 2274 + -2272. Factor 3/8*z + 0 + 1/8*z**r.
z*(z + 3)/8
Let a(d) = 4*d**2 - 4*d - 8. Let x(k) = -k**2 + 1. Let h = -72 - -73. Let m(v) = h*a(v) + 8*x(v). Factor m(y).
-4*y*(y + 1)
Let h(k) be the first derivative of -2*k**3/3 - 48*k**2 - 1152*k + 129. Suppose h(v) = 0. Calculate v.
-24
Let c(d) be the second derivative of -1/10*d**5 + 10 - 2*d - 11/6*d**4 + 36*d**2 - 8*d**3. Factor c(y).
-2*(y - 1)*(y + 6)**2
Let s(a) be the first derivative of 2*a**3/15 - 2*a**2/5 - 16*a/5 + 75. Factor s(l).
2*(l - 4)*(l + 2)/5
Factor 0 + 8/5*u**4 + 19/5*u**3 + 2*u**2 + 0*u - 1/5*u**5.
-u**2*(u - 10)*(u + 1)**2/5
Let h(w) be the first derivative of 2*w**3/15 + 13*w**2/2 + 32*w/5 + 93. Determine r so that h(r) = 0.
-32, -1/2
Let u(l) = 5*l**2 - 230*l - 255. Let g(o) = -o**2 + 57*o + 64. Let i(y) = 25*g(y) + 6*u(y). Find v such that i(v) = 0.
-7, -2
What is u in -13/4*u**2 - 11/4 + 1/4*u**3 + 23/4*u = 0?
1, 11
Let o(w) be the first derivative of -2*w**3/15 - 26*w**2/5 - 10*w + 402. Let o(g) = 0. Calculate g.
-25, -1
Let p(m) = -4*m**4 - 35*m**3 + 72*m**2 - 68*m + 17. Let u(j) = 7*j**4 + 35*j**3 - 71*j**2 + 69*j - 16. Let g(z) = 4*p(z) + 3*u(z). Factor g(l).
5*(l - 4)*(l - 1)**3
Let p = -2 + 12. Suppose 0 = -5*t + p. Factor 4*d**3 - 4*d**3 + 3*d**t - 3*d**3.
-3*d**2*(d - 1)
Suppose 12*u = -64*u. Solve -6/11*x + 2/11*x**3 + 4/11*x**2 + u = 0.
-3, 0, 1
Suppose 3*y + 10 = -2*y. Let d be -1*(-4)/(-4)*y. Find x such that -3*x**3 - x**4 + 5*x**2 - 2*x**3 + x**5 - 2*x + d*x**3 = 0.
-2, 0, 1
Let i(y) be the first derivative of y**9/12096 - y**8/2240 + y**7/1120 - y**6/1440 - 2*y**3 + 3. Let b(z) be the third derivative of i(z). Factor b(p).
p**2*(p - 1)**3/4
Suppose -n - 2*n = 3*a - 27, 2*a = -n + 14. Let v = 3 - 0. What is d in 100*d**n - 201*d**3 + 272*d - 319*d**v + 144 + 352*d + 307*d**2 + 129*d**2 = 0?
-2/5, 3
Let f = 31199 - 31196. What is h in 0 - 12/5*h**2 - 4/5*h**f + 16/5*h = 0?
-4, 0, 1
Suppose -153*m + 63 = -132*m. Find u such that 0 + 6/5*u + 11/5*u**2 + 1/5*u**4 + 6/5*u**m = 0.
-3, -2, -1, 0
Solve -242/9 - 308/3*j - 8/9*j**3 + 58/3*j**2 = 0.
-1/4, 11
Suppose 0*t + 24 = 2*t. Suppose -t*k + 168 = -10*k. Suppose -51*y**3 - 81*y**3 + 68*y**2 + 28*y + 22*y - 2*y + k*y**5 - 52*y**4 - 16 = 0. Calculate y.
-1, -2/3, 2/7, 1
Let s(u) be the third derivative of u**5/12 - 235*u**4/24 + 115*u**3/3 - 72*u**2. Find j such that s(j) = 0.
1, 46
Let a(g) be the third derivative of -g**5/40 - g**4/8 + 3*g**3/4 - g**2 + 52*g. Solve a(v) = 0 for v.
-3, 1
Let i(q) be the third derivative of 1/600*q**6 - 1/120*q**4 + 0*q - 1/30*q**3 - 29*q**2 + 0 + 1/300*q**5. Solve i(b) = 0.
-1, 1
Suppose 3*i - 6*i = -60. Find w such that i*w - 8*w**3 - w**2 - 4*w**5 - 8*w**3 - 4*w**2 - 3*w**2 - 8 + 16*w**4 = 0.
-1, 1, 2
Solve -1/7*j**3 - 2/7*j**2 - 1/7*j + 0 = 0.
-1, 0
Let z(l) be the second derivative of -l**6/10 - 3*l**5/5 - 3*l**4/2 - 2*l**3 - 3*l**2/2 - 5*l - 2. Factor z(j).
-3*(j + 1)**4
Let z be ((-892)/20)/((-4)/20*2). Let c = -110 + z. Find h, given that c*h + 1/2*h**2 + 1 = 0.
-2, -1
Factor 4/9*p**3 + 0*p - 1/3*p**4 + 4/9*p**2 + 0.
-p**2*(p - 2)*(3*p + 2)/9
Suppose 0 = -32*a + 4 + 92. Let o(t) be the third derivative of 8*t**2 - 5/12*t**4 + 0 + 0*t + 0*t**a + 1/12*t**5. Factor o(r).
5*r*(r - 2)
Let z(w) be the second derivative of -w**6/150 + w**5/50 + 2*w**4/15 - 2*w + 8. Determine u, given that z(u) = 0.
-2, 0, 4
Let c(h) be the third derivative of -h**5/30 + 7*h**4/6 - h**2 + 85*h. Factor c(f).
-2*f*(f - 14)
Suppose -3*n = 1 + 2. Let d be -1*(-3)/(-6) + (4 - n). Factor -6*q + d*q**2 - 2 + 7/2*q**3.
(q - 1)*(q + 2)*(7*q + 2)/2
Factor -a**3 + 1/2*a**5 + 0 + 0*a + 0*a**2 + 1/2*a**4.
a**3*(a - 1)*(a + 2)/2
Let a(i) = i**2 + 1. Let l(h) = -60*h**2 + 80*h - 70. Let m(f) = -25*a(f) - l(f). Find y such that m(y) = 0.
1, 9/7
Let k(v) be the third derivative of v**5/300 + v**4/60 - 27*v**2 + 2*v. Determine j, given that k(j) = 0.
-2, 0
Factor -252*i - 180*i + 114 - 2*i**2 + 320*i.
-2*(i - 1)*(i + 57)
Let v(u) be the first derivative of -10/13*u**3 - 7/26*u**4 - 9/13*u**2 - 2/65*u**5 + 0*u - 35. Factor v(c).
-2*c*(c + 1)*(c + 3)**2/13
Let a(c) = 2*c**3 + 15*c**2 + 48*c + 10. Let d(b) = -3*b**3 - 23*b**2 - 72*b - 14. Let x(i) = -7*a(i) - 5*d(i). Find h such that x(h) = 0.
-6, -4, 0
Let s(o) = o**3 - o + 3. Let k be s(0). What is l in 5*l**3 - 2*l**k - 23*l + 6*l**4 - l**2 + 20*l - 5*l**2 = 0?
-1, -1/2, 0, 1
Factor 13*n**2 + 160 + 24*n - 12*n**2 - 5*n**2.
-4*(n - 10)*(n + 4)
Let s be 1*(-4 + (2 + -3 - -5)). Let c be -1*(s/2)/(-4). Factor c + 3/2*r**3 + 5/2*r**4 + 0*r - r**2.
r**2*(r + 1)*(5*r - 2)/2
Let q(d) be the third derivative of d**6/320 + 3*d**5/160 - 49*d**4/64 + 45*d**3/16 - 615*d**2. Factor q(z).
3*(z - 5)*(z - 1)*(z + 9)/8
Let s(l) = -3*l**5 - 9*l**4 + 7*l**3 + 5*l**2. Let z(n) = n**5 + 4*n**4 - 3*n**3 - 2*n**2. Let x(o) = -2*s(o) - 5*z(o). Factor x(t).
t**3*(t - 1)**2
Let j(h) = -4*h + 8. Let n be j(11). Let b = 40 + n. Factor 71 + b*d**2 - 71 + 4*d**3.
4*d**2*(d + 1)
Let h(k) be the third derivative of k**5/450 + k**4/30 - 107*k**2. Factor h(p).
2*p*(p + 6)/15
Let m = 163 - 163. Let f(d) be the third derivative of m - 1/108*d**4 - 1/27*d**3 - 2*d**2 + 1/270*d**5 + 1/540*d**6 + 0*d. Suppose f(x) = 0. What is x?
-1, 1
Let j(t) be the second derivative of -t**5/70 + t**4/7 + t**3/21 - 6*t**2/7 + 91*t. Factor j(b).
-2*(b - 6)*(b - 1)*(b + 1)/7
Let i(h) be the third derivative of -11/90*h**5 - 19*h**2 + 1/18*h**4 - 1/45*h**7 + 0*h**3 + 0 + 0*h + 4/45*h**6. Find f such that i(f) = 0.
0, 2/7, 1
Let x = 53 - 51. Suppose 5*o - 9 = x*a, -5*a + 8 = -3*o + 2. Factor 2/3*v**a + 0 + 0*v**2 - 8/3*v.
2*v*(v - 2)*(v + 2)/3
Suppose 19 = -16*l - 13. Let v be (-3)/l*64/912. Determine u so that 0*u**2 + 4/19*u + 2/19 - 4/19*u**3 - v*u**4 = 0.
-1, 1
Let j(t) = t**2. Let l(u) = -u - 2. Let g(c) = -4*j(c) - 4*l(c). Solve g(n) = 0.
-1, 2
Let r(b) be the second derivative of b**6/12 - 11*b**5/20 - 9*b**4/8 + 16*b**3/3 - 5*b**2 - 190*b. Find h such that r(h) = 0.
-2, 2/5, 1, 5
Let v(z) = 4*z**4 + 5*z**3 - 4*z**2 + 7*z. Suppose 4*p = -0*p - 52. Let d(g) = 8*g**4 + 11*g**3 - 8*g**2 + 15*g. Let i(f) = p*v(f) + 6*d(f). Factor i(u).
-u*(u - 1)*(u + 1)*(4*u - 1)
What is z in 0 + 4/3*z**4 - 4/3*z**3 - 4/9*z**5 + 4/9*z**2 + 0*z = 0?
0, 1
Let -3*y**3 + 3*y**2 - 3*y**4 + 3*y**5 + 98767*y - 98767*y = 0. What is y?
-1, 0, 1
Let g(w) be the first derivative of 2*w**5/5 + 6*w**4 - 118*w**3/3 + 78*w**2 - 64*w + 292. Factor g(j).
2*(j - 2)*(j - 1)**2*(j + 16)
Let i = 67 + -68. Let o(c) = -2*c**2 + 9*c - 8 - 4*c**4 + 8*c**3 - 17*c + 2. Let y(d) = d**4 - d**3 + d + 1. Let b(m) = i*o(m) - 6*y(m). Factor b(t).
-2*t*(t - 1)*(t + 1)**2
Let p be 514/(-15)*-6*(-6)/(-1048). L