)*(a + 1)**3
Let f(m) be the third derivative of m**6/480 + m**5/30 + 13*m**4/96 + m**3/4 + 19*m**2 - 6. Suppose f(p) = 0. Calculate p.
-6, -1
Let 288 + i**3 + 57*i - 71*i - 114*i + 10*i**2 = 0. Calculate i.
-18, 4
Let s = 959 - 957. Let i(z) be the third derivative of 0*z - 1/75*z**5 - 1/30*z**4 + 0*z**3 + 0 + 3*z**s. Find u, given that i(u) = 0.
-1, 0
Let f be 128/90 + -1 - (-10)/(2050/(-41)). Factor -2/9*a**4 + f*a**3 + 2/9*a**2 - 2/9*a + 0.
-2*a*(a - 1)**2*(a + 1)/9
Let w(h) = h**3 - h**2 - h + 2. Let x be w(0). Factor -34*z**3 + 29*z**3 - 15*z**x - 7 - 10*z + 7.
-5*z*(z + 1)*(z + 2)
Let x(h) be the first derivative of h**4/2 - 2*h**3 + 86. Suppose x(c) = 0. Calculate c.
0, 3
Let t(y) be the third derivative of y**7/630 + y**6/144 - y**5/90 - y**4/48 - 63*y**2. Factor t(a).
a*(a - 1)*(a + 3)*(2*a + 1)/6
Suppose 722/5*c - 2/15*c**4 + 0 + 82/15*c**3 - 190/3*c**2 = 0. Calculate c.
0, 3, 19
Factor 0*o - 22/9*o**4 + 0 - 4/3*o**3 + 4/9*o**5 + 0*o**2.
2*o**3*(o - 6)*(2*o + 1)/9
Let j(s) be the third derivative of -s**8/1512 - 88*s**7/945 - 2521*s**6/540 - 241*s**5/3 + 475*s**4 - 1000*s**3 - 219*s**2. Factor j(c).
-2*(c - 1)**2*(c + 30)**3/9
Suppose -551 = -49*f - 23*f - 335. Factor 11/6*r**2 - 1/2*r**f - 4/3*r - 2/3.
-(r - 2)**2*(3*r + 1)/6
Factor 3/4*g**2 + 15/4*g + 0.
3*g*(g + 5)/4
Solve 4*p - 1/3*p**2 - 9 = 0.
3, 9
Suppose -3*k + 19 = -5. Factor -k*n**2 - 12*n**3 + 365 + 4*n**5 - 365.
4*n**2*(n - 2)*(n + 1)**2
Let s(b) be the first derivative of -2/3*b**3 - 44 - 8*b + 4*b**2. Find l such that s(l) = 0.
2
Let q(x) be the first derivative of 4/9*x**3 - 2 + 1/6*x**4 - 2/5*x**5 + 0*x**2 + 0*x. Let q(u) = 0. Calculate u.
-2/3, 0, 1
Let m(k) = -k**2 + 6*k - 1. Let v(z) = 7*z**2 - 173*z + 134. Let c(s) = -40*m(s) - 5*v(s). Factor c(b).
5*(b - 1)*(b + 126)
Let m = 94/19 - 357/76. Factor 1/2*y**3 - 1/4*y - 1/2*y**2 + m - 1/4*y**5 + 1/4*y**4.
-(y - 1)**3*(y + 1)**2/4
Let t(c) = c**3 - 6*c**2 - 11*c + 4. Let r(q) = -3*q**3 + 16*q**2 + 32*q - 12. Let a(x) = -4*r(x) - 11*t(x). Suppose a(h) = 0. What is h?
-4, 1
Let o = 8681 + -8678. Solve 24/5 - 6/5*l**o - 6/5*l**2 + 24/5*l = 0.
-2, -1, 2
Suppose -f - 190 = -4*d + 558, 368 = 2*d + f. Let m be 2/(-7) - (d/(-63) - -2). Determine j so that -m*j + 0 - 2/3*j**5 + 0*j**4 + 4/3*j**3 + 0*j**2 = 0.
-1, 0, 1
Suppose -2*y**3 - 41/3*y**2 + 10/3 - 53/3*y = 0. What is y?
-5, -2, 1/6
Let p be (3703/276 - 13) + 2/6. Determine k so that 3/4 - p*k**2 + 3/4*k**3 - 3/4*k = 0.
-1, 1
Let q(c) = -4*c**3 + 3*c**2 + 3*c - 3. Let n be 0*(0 - 1) + -7. Let o(k) = 9*k**3 - 7*k**2 - 7*k + 7. Let v(b) = n*q(b) - 3*o(b). Factor v(s).
s**3
Let z(f) = -3*f**2 - 96*f - 102. Let p(i) = -6*i**2 - 192*i - 201. Let l(t) = 3*p(t) - 5*z(t). What is d in l(d) = 0?
-31, -1
Factor -5*f**3 - 7*f - 47*f + f**3 + 96 - 2*f + 0*f**3 - 36*f**2.
-4*(f - 1)*(f + 4)*(f + 6)
Let d be 2 - (-4 + 0 - 1). Let m(z) be the third derivative of 1/40*z**6 + 0*z + 1/60*z**5 + 0 - 2/105*z**d + 0*z**3 + 5*z**2 + 0*z**4. Factor m(j).
-j**2*(j - 1)*(4*j + 1)
Find t such that -66248/15 - 2/15*t**2 - 728/15*t = 0.
-182
Determine a so that 2/3*a - 1/6*a**3 + 1/2*a**2 + 0 = 0.
-1, 0, 4
Let d be (-124)/(-3) + 4 - 2/6. Factor -3*q - 60*q**2 - 13*q**3 - q**3 - d*q - 2*q**3 + 16.
-4*(q + 2)**2*(4*q - 1)
Let d(c) be the second derivative of -3/16*c**3 - 2*c + 0 + 0*c**2 - 1/32*c**4. Factor d(i).
-3*i*(i + 3)/8
Let a(x) = -9*x**4 - 6*x**3 + 9*x**2 + 3*x. Let k(j) = 25*j**4 + 17*j**3 - 25*j**2 - 9*j. Let f(q) = 8*a(q) + 3*k(q). Factor f(p).
3*p*(p - 1)*(p + 1)**2
Suppose 3*r = w - 11, 4*r + 0 = w - 14. Find c such that c - 2*c + 5*c + 4*c**w - 8*c**2 = 0.
0, 1
Find r such that 33 + 2*r**2 - r**2 - 4*r**2 - r**2 + r**2 + 30*r = 0.
-1, 11
Let n(m) be the first derivative of -3/2*m**6 - 6/5*m**5 + 12*m**3 - 6*m + 3/2*m**2 + 15/2*m**4 - 10. What is w in n(w) = 0?
-1, 1/3, 2
Let x(i) be the second derivative of 3/160*i**5 + 21*i + 0 + 3/32*i**4 + 3/16*i**2 + 3/16*i**3. Factor x(j).
3*(j + 1)**3/8
Let u be 7 + 8 - (1 - 1). Suppose 11 = -2*p + u. Suppose -2/3*f**p + 2/3*f + 4/3 = 0. What is f?
-1, 2
Let z be 20/(-7)*18/(-15). Let y = 11846/7 - 1690. Factor 16/7*g**3 - 4/7 - 4/7*g**4 + y*g - z*g**2.
-4*(g - 1)**4/7
Let l(p) be the third derivative of p**5/120 + 5*p**4/48 + p**3/2 + 8*p**2. Factor l(t).
(t + 2)*(t + 3)/2
Let n(x) be the third derivative of 1/105*x**7 + 3*x**2 + 0 + 1/30*x**6 + 0*x**4 + 0*x**3 + 0*x + 1/30*x**5. Factor n(m).
2*m**2*(m + 1)**2
Let x(z) be the first derivative of -55*z**3/3 - 285*z**2/2 - 50*z + 53. Factor x(s).
-5*(s + 5)*(11*s + 2)
Factor -1664*x + 58 + 40*x**2 + 70 + 1792*x + 4*x**3.
4*(x + 2)*(x + 4)**2
Let w(j) be the second derivative of j**6/360 + j**5/24 - j**3/2 + 31*j. Let g(z) be the second derivative of w(z). Solve g(q) = 0 for q.
-5, 0
Let f = -85 - -89. Let a(t) be the second derivative of -1/8*t**2 + 0 - t + 1/48*t**f + 0*t**3. Suppose a(g) = 0. Calculate g.
-1, 1
Determine a, given that 152*a - 3670 + 1852 - 140*a**2 - 44*a**3 + 1850 = 0.
-4, -2/11, 1
Let n(v) be the third derivative of v**5/135 + 44*v**4/27 + 58*v**3/9 + 93*v**2 + 1. Determine r, given that n(r) = 0.
-87, -1
Let 7*h**5 - 3*h**5 + 32*h - 48*h**2 + 6*h**3 - 32*h**2 + 66*h**3 - 28*h**4 = 0. What is h?
0, 1, 2
Let j(d) = -5*d**2 + 46*d - 57. Let z(a) = 10*a**2 - 90*a + 115. Let o(t) = -5*j(t) - 3*z(t). Determine s so that o(s) = 0.
2, 6
Suppose 0*i**2 - 11/8*i**4 - 3/4*i**3 + 0*i + 0 = 0. What is i?
-6/11, 0
Let p be (42/30 + -1)*15. Suppose 8*q - p*q = 12*q. Let q - 2/17*v**2 + 2/17*v**5 - 6/17*v**3 + 4/17*v + 2/17*v**4 = 0. Calculate v.
-2, -1, 0, 1
Let a(z) = 48*z**4 + 87*z**3 + 55*z**2 - 4*z. Let u(d) = 48*d**4 + 88*d**3 + 52*d**2 - 4*d. Let h(j) = -4*a(j) + 5*u(j). Factor h(k).
4*k*(k + 1)**2*(12*k - 1)
Let g(p) = -2*p**2 + 2*p - 1. Let o(i) = -10*i**2 - 424*i + 23756. Let l(z) = 6*g(z) - o(z). Determine m, given that l(m) = 0.
109
Let l(m) be the first derivative of -3/16*m**4 - 3/20*m**5 - 3 + 1/2*m**3 + 0*m**2 + 0*m. Factor l(d).
-3*d**2*(d - 1)*(d + 2)/4
Let j = -26 - -29. Let x be j/(-6) - -6*(-6)/(-40). Factor -x*q**3 - 2/5*q**2 + 2/5*q**4 + 2/5*q**5 + 0*q + 0.
2*q**2*(q - 1)*(q + 1)**2/5
Let 101*c**4 + 14*c**4 + 40 - 15*c**3 - 65*c + 40*c**3 + 15*c - 100*c**2 + 25*c**5 - 55*c**2 = 0. What is c?
-4, -1, 2/5, 1
Suppose 3*m + 12 = 0, 0*j + j = -2*m - 6. Let f(w) be the first derivative of -6*w**j - 4/3*w**3 + 1 - 8*w. Let f(n) = 0. Calculate n.
-2, -1
Let k(j) be the third derivative of -j**6/40 - 2*j**5/5 + j**4/2 + 16*j**3 + 36*j**2 - 7*j. Factor k(h).
-3*(h - 2)*(h + 2)*(h + 8)
Let n(k) be the first derivative of -k**3/4 + 21*k**2/8 - 9*k - 9. Determine x so that n(x) = 0.
3, 4
Let i(s) = 124*s**3 - 15*s**2 - 108*s - 1. Let l(d) = 82*d**3 - 9*d**2 - 72*d - 1. Let r(x) = 5*i(x) - 8*l(x). Factor r(f).
-3*(f - 1)*(f + 1)*(12*f + 1)
Let k(l) be the third derivative of 1/840*l**7 + 4*l**2 + 1/240*l**5 + 1/32*l**4 + 0 + 0*l - 1/12*l**3 - 1/160*l**6. Solve k(j) = 0.
-1, 1, 2
Let k(c) = -902*c - 3 - 6 + 908*c. Let o be k(2). Let 3/5*w**5 - 6/5*w**2 + 3/5*w**4 - 6/5*w**o + 3/5 + 3/5*w = 0. What is w?
-1, 1
Let o(a) = 5*a**4 - 6*a**3 + a**2 + 6*a - 6. Let t(x) = -17*x**3 + 6*x**4 - 4*x + x**2 + 11*x - 7 + 10*x**3. Let g(d) = 7*o(d) - 6*t(d). What is i in g(i) = 0?
-1, 0, 1
Let c = -8798 + 8802. Determine p, given that 3/8*p - 21/8*p**2 + 3*p**3 + 6*p**c + 0 = 0.
-1, 0, 1/4
Let m(h) = h**5 + h**4 - h - 1. Let y(a) = -6*a**5 + 24*a**4 + 66*a**3 + 6*a**2 - 60*a - 30. Let r(w) = 3*m(w) + y(w). Suppose r(g) = 0. Calculate g.
-1, 1, 11
Let g(y) be the second derivative of -y**7/840 - 7*y**6/720 + y**5/20 + 5*y**4/6 - 16*y. Let u(h) be the third derivative of g(h). Factor u(m).
-(m + 3)*(3*m - 2)
Let g(n) be the third derivative of 0*n**5 + 0*n + 0*n**4 - 5 + 2*n**2 + 1/12*n**6 + 0*n**3 - 1/14*n**7 + 5/336*n**8. Find m such that g(m) = 0.
0, 1, 2
Let j be ((-32)/48)/(4/39) + 7. Factor 0*k**3 - j*k + 1/4*k**4 - 3/4*k**2 + 0.
k*(k - 2)*(k + 1)**2/4
Let w(q) be the first derivative of q**7/840 - q**6/120 + 23*q**3/3 - 19. Let i(f) be the third derivative of w(f). Factor i(o).
o**2*(o - 3)
Let n(l) = -11*l**5 + l**4 + 6*l**3 - 6*l**2 + 6*l + 6. Let w(q) = 21*q**5 - 2*q**4 - 11*q**3 + 11*q**2 - 11*q - 11. Let b(u) = 11*n(u) + 6*w(u). Factor b(o).
o**4*(5*o - 1)
Let 204/5*c + 10404/5 + 1/