
2*(w - 1)**4*(w + 1)
Let l = 25 + -15. Determine i, given that 11 - 2*i - 10 - 6*i**3 - 1 - 2 + l*i**2 = 0.
-1/3, 1
Let c = -10 - -13. Suppose 2*j - 15 = c. Factor 3*q - 14*q**2 + j*q**3 - 5*q**4 + 2*q**2 - q**4 + 6*q**3.
-3*q*(q - 1)**2*(2*q - 1)
Solve 21*y**2 + y**3 + 259 + 444*y + 84 - 297*y = 0.
-7
Let n = 53 - 50. Determine s, given that -4*s**3 + s**2 - 2*s**5 - s**4 + s**n + 2*s**3 + 3*s**5 = 0.
-1, 0, 1
Let n(g) be the first derivative of -g**5 + 245*g**4/2 - 5440*g**3 + 97280*g**2 - 327680*g - 203. Suppose n(y) = 0. Calculate y.
2, 32
Suppose -2*x**3 + 212*x**4 + 10*x - 4*x**2 + 10*x**2 - 214*x**4 + 4 = 0. Calculate x.
-1, 2
Find q such that -683*q**2 - 20 + 75*q**3 - 140*q - 685*q**2 + 2157*q**2 - 704*q**2 = 0.
-2, -2/15, 1
Let x(i) = 3*i**4 - 5*i**3 - i**2 + 5*i - 2. Let j(n) = 2*n**4 - 5*n**3 - n**2 + 5*n - 1. Let v(b) = 5*j(b) - 4*x(b). Factor v(m).
-(m - 1)*(m + 1)**2*(2*m + 3)
Let y(m) be the second derivative of m**6/2340 + m**5/195 + m**4/52 + 3*m**3/2 - 12*m. Let d(o) be the second derivative of y(o). Factor d(b).
2*(b + 1)*(b + 3)/13
Let g(i) be the first derivative of 2*i**7/35 + i**6/40 - i**5/5 - i**4/8 - 7*i**2 - 24. Let j(k) be the second derivative of g(k). Suppose j(v) = 0. What is v?
-1, -1/4, 0, 1
Suppose -3*y + 6 = 3, 0 = 3*g - 2*y - 4. Factor -5*h**4 - 45*h**3 + 207*h**2 - 207*h**g.
-5*h**3*(h + 9)
Let h(r) = 417*r + 3338. Let n be h(-8). Factor 2*u**n + 0*u - 8/3 - 2/3*u**3.
-2*(u - 2)**2*(u + 1)/3
Let i(w) = w**3 + 3*w**2 + 2*w + 1. Let m be i(-1). Let g be 2 - 3 - (16/(-6) + m). Determine n, given that -14/3*n**2 + 2*n**3 - g + 10/3*n = 0.
1/3, 1
Suppose g - 2*k = 2, -3*g = -0*g + 2*k - 14. Suppose -5*a + 6 = o, a + 3*a + 8 = -g*o. Determine f so that 2*f**4 + 6*f**a - 2*f**2 + 2*f**4 - 8*f**3 = 0.
0, 1
Let d(z) be the second derivative of -45*z**5/4 + 85*z**4/2 - 62*z**3/3 + 4*z**2 + 267*z + 1. Factor d(x).
-(x - 2)*(15*x - 2)**2
Let b = -36 + 48. Suppose -b = -2*h - h + 3*m, -m = -2*h + 7. Factor -1/4*u**2 + 0 + 1/4*u**4 + 1/2*u**h - 1/2*u.
u*(u - 1)*(u + 1)*(u + 2)/4
Solve -2*b**2 - 2*b**2 + 106*b**3 + 87*b**4 - 28*b**3 - 17*b**4 + 12*b**4 = 0.
-1, 0, 2/41
Suppose 165 = 38*p + 89. Suppose 1/3*h**p + 0*h + 0 = 0. Calculate h.
0
Solve 9105413 + 142784*v - 1809*v**2 + 4*v**3 - v**3 + 220825*v - 33467216 = 0 for v.
201
Let l(w) = -5*w**2 - 8*w - 18. Let g(h) = 23*h**2 + 32*h + 72. Let f(b) = 2*g(b) + 9*l(b). Let q be f(10). Factor 1/2*d**2 - q*d + 3/2.
(d - 3)*(d - 1)/2
Let c(b) be the first derivative of -2/45*b**3 + 0*b + 2/75*b**5 - 9 - 2/15*b**2 + 1/15*b**4. Suppose c(t) = 0. Calculate t.
-2, -1, 0, 1
Let b(p) be the third derivative of -p**8/5040 + p**7/315 - 3*p**5/5 - 4*p**2. Let x(i) be the third derivative of b(i). Factor x(z).
-4*z*(z - 4)
Let w(j) be the second derivative of 0 - 1/3*j**3 - 11/6*j**4 + 3*j - j**5 + 0*j**2. Find l such that w(l) = 0.
-1, -1/10, 0
Suppose a - 59 = 7*m - 3*m, 3*a + 3 = 0. Let i be (-1 + (-29)/m)*(-56)/(-49). Factor 2/3*j**3 - 2/15*j**5 + 8/15 - 2/15*j**4 + 2/15*j**2 - i*j.
-2*(j - 1)**3*(j + 2)**2/15
Suppose -2 = 5*o + y, 2*o + 4*y - 2*y = -4. Solve -144*b + o*b**3 - 17 - 175 - 3*b**3 - 36*b**2 = 0 for b.
-4
Let k(z) = 5*z**3 + 14*z**2 + 3*z - 2. Let j(n) = -19*n**3 - 57*n**2 - 12*n + 8. Let s = -41 + 23. Let u(t) = s*k(t) - 4*j(t). Determine v, given that u(v) = 0.
-1, 2/7
Let c be 2/8 - (-1 - (-7)/(-28)). Suppose c*d**3 + 4*d**2 + 2 - 15/2*d = 0. What is d?
-4, 1/3, 1
Let j(i) = 11*i**2 + 4*i - 1. Let y(c) = 20*c**2 + 9*c. Let s(p) = -11*j(p) + 6*y(p). Factor s(b).
-(b - 11)*(b + 1)
Solve -49/4*c**2 + 4*c**3 - 1/2 + 35/4*c = 0.
1/16, 1, 2
Let m(k) = -14*k**2 - k - 2. Let i(z) = 9 + 5*z - 2*z + 25*z**2 + 32*z**2. Let f = 17 + 4. Let q(a) = f*m(a) + 5*i(a). Factor q(n).
-3*(n + 1)*(3*n - 1)
Let m(u) = -70*u**3 - 2325*u**2 - 20285*u + 55. Let o(c) = -5*c**3 - 166*c**2 - 1449*c + 4. Let j(z) = 4*m(z) - 55*o(z). Factor j(w).
-5*w*(w + 17)**2
Factor -1/3*d**3 + 104/3*d - 36 - 23/3*d**2.
-(d - 2)**2*(d + 27)/3
Factor 3/8*i**4 - 39/8*i**3 - 45/8*i + 0 - 87/8*i**2.
3*i*(i - 15)*(i + 1)**2/8
Let n(u) be the second derivative of -u**3 - 3/5*u**5 + 0 - 1/10*u**6 - 5/4*u**4 + 0*u**2 + 9*u. Factor n(r).
-3*r*(r + 1)**2*(r + 2)
Let k(p) = -p**3 - p**2 + 7*p - 13*p - 1 + 6*p. Let v(w) = 5*w**4 + 13*w**3 - 2*w**2 - 2. Let m(g) = 2*k(g) - v(g). Factor m(f).
-5*f**3*(f + 3)
Let s(o) = -18*o - 234. Let h be s(-13). Factor h*v + 6/7*v**2 + 2/7*v**3 - 8/7.
2*(v - 1)*(v + 2)**2/7
Let a(p) be the third derivative of -p**6/280 - 201*p**5/140 - 13467*p**4/56 - 300763*p**3/14 - p**2 + 639*p. Factor a(n).
-3*(n + 67)**3/7
Suppose -7 = 7*m - 8*m. Let q be 1*16/(-7)*m/(-14). Find a, given that q + 0*a + 2/7*a**3 - 6/7*a**2 = 0.
-1, 2
Let f(n) = n**3 - 5*n**2 + 2*n + 15. Let v be f(4). Let w be (-14)/(-2)*2/v. Solve 3/4*r**w + 3/4*r**3 + 0 - 3/2*r = 0.
-2, 0, 1
Let k be 6/(2 + -8) - -1. Let j(z) be the second derivative of 4/5*z**2 + 8*z - 7/5*z**4 + k + 2/15*z**3. Let j(d) = 0. Calculate d.
-2/7, 1/3
Suppose 5 = -4*a - 27. Let q = a - -12. Let 0*g + 0 - 2/9*g**q + 2/9*g**2 + 0*g**3 = 0. What is g?
-1, 0, 1
Let x(w) be the second derivative of w**5/10 + 103*w**4/6 + 2600*w**3/3 - 2704*w**2 + 100*w. Determine o so that x(o) = 0.
-52, 1
Factor -19/3*x + 1/3*x**2 + 6.
(x - 18)*(x - 1)/3
Let l = 9 - 25/3. Let i be 0*((-486)/(-2520) - 2/(-35)). Factor 0*m**2 + i + l*m**3 - 2/3*m**4 + 0*m.
-2*m**3*(m - 1)/3
Let x(k) = -50*k**3 - 136*k**2 - 50*k + 11. Let q(v) = 10*v**3 + 27*v**2 + 10*v - 2. Let h(u) = -11*q(u) - 2*x(u). Factor h(y).
-5*y*(y + 2)*(2*y + 1)
Suppose 0*w + 68/3*w**3 - 20/3*w**4 + 0 - 8*w**2 = 0. Calculate w.
0, 2/5, 3
Factor -17 - 206*v + v**2 + 4*v**2 + 224*v - 6*v**2.
-(v - 17)*(v - 1)
Let a(b) be the first derivative of b**3/12 - 5*b**2/4 + 9*b/4 + 120. Factor a(z).
(z - 9)*(z - 1)/4
Suppose 5*z - 11*c = -16*c, 5*z = 2*z + 5*c. Factor 0 - 2/21*q**4 + 0*q + 2/21*q**2 + z*q**3.
-2*q**2*(q - 1)*(q + 1)/21
Let k(r) be the third derivative of 0 + 0*r**7 - 1/30*r**6 + 0*r**5 + 1/12*r**4 + r**2 + 0*r + 1/168*r**8 + 0*r**3. Factor k(x).
2*x*(x - 1)**2*(x + 1)**2
Suppose 0 = 4*q - 4*f - 16, 6*f + 8 = 2*q + 7*f. Factor 9 + 13*c - c - c**2 + q*c**2.
3*(c + 1)*(c + 3)
Suppose -14*s - 81 + 109 = 0. Factor -12 - 196/3*d**s - 56*d.
-4*(7*d + 3)**2/3
Let p(h) be the first derivative of 0*h**2 + 0*h**3 + 2/55*h**5 - 26 - 1/11*h**4 + 0*h. Factor p(n).
2*n**3*(n - 2)/11
Suppose -9*v + 30 = 12. Let g(n) be the third derivative of -1/15*n**6 + 1/105*n**7 + 1/6*n**5 + 0*n**3 + 0*n + 0 - 1/6*n**4 - v*n**2. Factor g(q).
2*q*(q - 2)*(q - 1)**2
Suppose -120 = 102*h - 105*h. Factor -h*j**5 - 2*j**4 - 3*j**3 - j**2 + 3*j**2 + 43*j**5.
j**2*(j - 1)*(j + 1)*(3*j - 2)
Let f = -812 + 812. Let z(o) be the third derivative of f*o + 0 - 1/42*o**4 - 1/420*o**5 + 5*o**2 - 2/21*o**3. What is t in z(t) = 0?
-2
Find k, given that -18*k - 2/11*k**2 + 200/11 = 0.
-100, 1
Let t(k) = k**3 - 52*k**2 - 12*k + 628. Let n be t(52). Solve -8/9*v - 2/9*v**n + 8/9*v**3 + 2/3 - 4/9*v**2 = 0.
-1, 1, 3
Let s(l) be the second derivative of 0 - 16*l + 0*l**3 + 2/9*l**4 + 0*l**2 + 1/15*l**5. Find g such that s(g) = 0.
-2, 0
Suppose -15*c + 77 = -28. Let i(k) be the second derivative of 4/3*k**3 - 10/21*k**c - 9/5*k**5 - 3*k + 0*k**2 - 1/3*k**4 + 0 + 26/15*k**6. Solve i(q) = 0.
-2/5, 0, 1
Factor w**2 - 15 + 14*w**2 - 176*w + 181*w - 5*w**3.
-5*(w - 3)*(w - 1)*(w + 1)
Let u(w) be the second derivative of w**6/120 + 13*w**5/40 + 193*w**4/48 + 13*w**3 + 18*w**2 - 2*w + 6. Suppose u(q) = 0. What is q?
-12, -1
Let q(a) be the third derivative of -a**7/70 + 19*a**5/10 + 9*a**4 + 35*a**3/2 + a**2 - 124*a. Let q(p) = 0. What is p?
-5, -1, 7
Let k(q) = 4*q - 8. Let u be k(5). Let x(m) = m**5 + m**3 - m**2 - m. Let y(p) = 3*p**5 - p**4 + 5*p**3 - 3*p**2 - 4*p. Let n(c) = u*x(c) - 3*y(c). Factor n(l).
3*l**2*(l - 1)*(l + 1)**2
Let i = 12127/4851 + 1/9702. Suppose -2 - 1/2*d**3 - i*d**2 - 4*d = 0. Calculate d.
-2, -1
Suppose 6*l - 37 + 13 = 0. Suppose 17 = l*g - q, 4*g = -2*q + 19 - 17. Solve -3/5*v**4 + 9/5*v + 3*v**2 + 3/5*v**g + 0 = 0.
-1, 0, 3
Factor -1458/11 - 36*n**2 + 1296/11*n + 48/11*n**3 - 2/11*n**4.
-2*(n - 9)**2*(n - 3)**2/11
Let t(w) = -w**3 - 25*w**2 + 48*w - 12. Let p be t(-27). Let a = p + -1048/7. Solve -2/7*s**4 + 2/7*s**5 + 2/7*s**2 +