h that -4/7*d**m + 0 - 36/7*d**3 - 8/7*d - 4*d**2 - 20/7*d**w = 0.
-2, -1, 0
Let t(a) = -21 + 42 + 2*a**2 - 23 - a**2. Let c be t(-2). Factor 8/5*d - 4/5 - 4/5*d**c.
-4*(d - 1)**2/5
Let i(r) = -12*r**4 - 4*r**3 - 96*r**2 + 160*r + 8. Let v(x) = -10*x**4 - 4*x**3 - 95*x**2 + 160*x + 7. Let c(o) = 7*i(o) - 8*v(o). Let c(t) = 0. What is t?
-5, 0, 2, 4
Let y be (-2)/2 + 9 + -6. Factor 5*b**4 - 4*b + 5*b**3 + 55*b**2 - b - 60*b**y.
5*b*(b - 1)*(b + 1)**2
Let o(t) be the third derivative of t**5/150 - 4*t**4/3 + 320*t**3/3 - 2*t**2 + 8. Let o(m) = 0. What is m?
40
Suppose 0 = -5*p - 12*z + 7*z - 5, 4*p - 2*z - 20 = 0. Let u(r) be the second derivative of -2/9*r**p - 1/3*r**2 - 2*r - 1/18*r**4 + 0. Factor u(a).
-2*(a + 1)**2/3
Let f(h) be the third derivative of -h**9/7560 + h**7/315 - 13*h**4/24 + 7*h**2. Let i(v) be the second derivative of f(v). Factor i(n).
-2*n**2*(n - 2)*(n + 2)
Let y(u) = u**4 + 300*u**3 - 1027*u**2 + 694*u - 16. Let o(j) = -j**4 - 201*j**3 + 685*j**2 - 463*j + 10. Let x(t) = 8*o(t) + 5*y(t). Factor x(g).
-3*g*(g - 2)*(g - 1)*(g + 39)
Let z be ((-6)/(-10))/(108/72). Let m(o) be the second derivative of -1/15*o**3 + 2*o - 1/15*o**4 + z*o**2 + 1/50*o**5 + 0. Factor m(y).
2*(y - 2)*(y - 1)*(y + 1)/5
Let c(f) be the first derivative of f**6/1080 - 2*f**5/45 + 8*f**4/9 + 29*f**3/3 - 31. Let j(v) be the third derivative of c(v). What is k in j(k) = 0?
8
Factor 7*v**3 - 3 - v**4 + 3 - 13*v**3.
-v**3*(v + 6)
Let a(f) = 19*f**5 - 17*f**4 + 19*f**3 + 11*f - 11. Let o(s) = -7*s**5 + 6*s**4 - 7*s**3 - 4*s + 4. Let l(j) = -4*a(j) - 11*o(j). Solve l(g) = 0.
-1, 0
Let v = -1308/11 - -6551/55. Factor v*c**3 + 0 + 0*c - 2/5*c**2.
c**2*(c - 2)/5
Let l(w) be the second derivative of -w**6/45 - 31*w**5/5 - 12*w. What is x in l(x) = 0?
-186, 0
Determine h, given that 2*h**2 - 1/6*h**4 + 2/3*h**3 - 32/3 - 16/3*h = 0.
-2, 4
Let z be (6/13)/1*(-26)/(-78). Solve -16/13*x + 14/13 + z*x**2 = 0.
1, 7
Let i(k) be the third derivative of -k**6/30 - k**5/5 + 2*k**4/3 + 8*k**3 + 24*k**2. Let i(a) = 0. What is a?
-3, -2, 2
Let y(i) be the third derivative of i**6/40 - i**5/4 + 3*i**4/8 + 9*i**3/2 - 2*i**2 + 6. Factor y(p).
3*(p - 3)**2*(p + 1)
Let f be (-56)/(-1890)*10/4. Let w(q) be the second derivative of 0*q**2 + 1/45*q**5 - f*q**3 - 1/135*q**6 - 3*q + 1/54*q**4 + 0. Factor w(s).
-2*s*(s - 2)*(s - 1)*(s + 1)/9
Let i(u) be the first derivative of -4/9*u**2 + 20/27*u**3 + 1/18*u**4 - 14 - 16/9*u + 1/27*u**6 - 8/45*u**5. What is t in i(t) = 0?
-1, 2
Let w be 4/(-21)*175/(-150). Suppose 2/9*i**4 + w*i**3 + 0*i - 4/9*i**5 + 0*i**2 + 0 = 0. What is i?
-1/2, 0, 1
Let x(w) be the second derivative of w**6/165 - 9*w**5/110 + 5*w**4/22 - 7*w**3/33 - 35*w. Factor x(g).
2*g*(g - 7)*(g - 1)**2/11
Let y = -352 + 177. Let x be (-85)/y + (-2)/(10/1). Factor -2/7*z**2 + 2/7*z + 2/7*z**4 + 0 - x*z**3.
2*z*(z - 1)**2*(z + 1)/7
Let f(c) be the third derivative of c**5/12 + 5*c**4/24 - 5*c**3/3 + 4*c**2 + 25. Suppose f(n) = 0. What is n?
-2, 1
Let g be (-30)/(-16)*(-288)/(-120). Determine s, given that -g*s**4 + 0 - 2*s - 8*s**2 - 21/2*s**3 = 0.
-1, -2/3, 0
Let g(q) = -q**5 - q**3 - 2*q**2 + q. Let m(l) = 8*l**5 - 8*l**4 + 20*l**3 + 8*l**2 - 7*l. Let s(u) = 21*g(u) + 3*m(u). Let s(f) = 0. Calculate f.
0, 1, 6
Let v(o) = -o**2 + o + 22. Let q be v(-4). Let x(j) be the first derivative of -1/21*j**6 + 0*j**3 + 4 - 4/35*j**5 + 0*j**q + 0*j - 1/14*j**4. Factor x(d).
-2*d**3*(d + 1)**2/7
Let y(v) be the first derivative of -v**5/60 - v**4/8 + 2*v**3/3 - 3*v**2/2 + 27. Let l(x) be the second derivative of y(x). Find h, given that l(h) = 0.
-4, 1
Suppose 151 + 645*s - 5*s**3 + 1661*s**2 - 4737*s**2 + 1559*s**2 + 884 + 1602*s**2 = 0. What is s?
-3, 23
Let m = -29 - -41. Let a be ((-3)/(45/m))/(63/(-135)). Factor a*c - 12/7 + 9/7*c**2.
3*(c + 2)*(3*c - 2)/7
Let m(t) be the first derivative of -25*t**3 - 3*t**5 - 45/2*t**2 - 47 - 10*t - 55/4*t**4. Factor m(c).
-5*(c + 1)**3*(3*c + 2)
Factor 52800*a**3 + 25*a + 111*a**2 - 2 - 52740*a**3 + 3*a**4 + 29*a + 2.
3*a*(a + 1)**2*(a + 18)
Let y(c) = c**5 - 23*c**4 + 51*c**3 - 49*c**2 + 16*c - 2. Let d(k) = 24*k**4 - 51*k**3 + 48*k**2 - 15*k + 3. Let q(h) = 2*d(h) + 3*y(h). Factor q(w).
3*w*(w - 3)*(w - 2)*(w - 1)**2
Let g(u) = u**2 + 17*u + 21. Let p be g(-16). Suppose p*m - 4*n = 17 + 57, -4*m + 4*n + 56 = 0. Suppose 33/2*w + m*w**2 - 6*w**4 + 3 - 3/2*w**3 = 0. What is w?
-1, -1/4, 2
Let d(x) be the second derivative of -x**5/450 + 10*x**2 + 16*x. Let y(h) be the first derivative of d(h). Factor y(g).
-2*g**2/15
Let f be ((-4)/20)/((-24)/(-1830)). Let r = 199/12 + f. Factor r*q**4 - 4/3*q**2 + 8/3*q**3 - 8/3*q + 0.
4*q*(q - 1)*(q + 1)*(q + 2)/3
Let z(l) be the second derivative of 1/165*l**6 - 1/66*l**4 + 15*l + 0*l**3 + 1/231*l**7 + 0*l**2 + 0 - 1/110*l**5. Solve z(c) = 0 for c.
-1, 0, 1
Suppose -3*f = 2*b - 22, -3*b + 7 = -f - f. Solve -4*h**2 + 2*h**3 + h**f - 2*h**4 + 3*h**2 = 0.
0, 1
Let y(w) = -w**3 + 10*w**2 + 3. Let h be y(10). Let c be 21/35 + 1/5. Suppose -6/5*p**h - 1/5*p**4 - 12/5*p - c - 13/5*p**2 = 0. Calculate p.
-2, -1
Let n(j) = -3*j**5 + 15*j**4 + 3*j**3 - 25*j**2 + 5*j - 5. Let q(i) = -i**5 + 8*i**4 + i**3 - 12*i**2 + 2*i - 2. Let x(b) = -2*n(b) + 5*q(b). Factor x(g).
g**2*(g - 1)*(g + 1)*(g + 10)
Let f(c) be the third derivative of -c**6/780 + c**5/78 - 7*c**4/156 + c**3/13 - 9*c**2. Factor f(y).
-2*(y - 3)*(y - 1)**2/13
Let u be 10/4*2/10*8. Factor -15*p**3 - 37*p**2 + 15*p - 38*p**2 + 78*p**2 - 3*p**u.
-3*p*(p - 1)*(p + 1)*(p + 5)
Let n(g) = -g**3 - 4*g**2 - g - 2. Let s(w) = 4*w**3 + 17*w**2 + 4*w + 9. Suppose 0 = -4*j - 58 + 66. Let m(p) = j*s(p) + 9*n(p). What is b in m(b) = 0?
-1, 0
Let a(q) = 635*q - 1903. Let k be a(3). Let 2/9 - 2/9*m**k - 2/9*m**3 + 2/9*m = 0. What is m?
-1, 1
Let y(l) = -l**3 + 6*l**2 - 4*l - 2. Let z(k) = -k**2 + 10*k - 4. Let b be z(9). Let c be y(b). Factor -2*a**4 + 2*a**4 + a**3 + 6*a**2 - c*a**5 + 8*a**3.
-3*a**2*(a - 2)*(a + 1)**2
Suppose -2*t + 17 - 1 = 2*g, 2*t - 5*g = -12. Factor 0*x**2 + 1/2*x**t - 1/2 - x + x**3.
(x - 1)*(x + 1)**3/2
Suppose -5*j - 10 = -0*j, -7 = -5*k - 4*j. Let i(o) be the first derivative of 1/12*o**4 + 1/3*o**2 + 4 + 0*o - 1/3*o**k. Let i(q) = 0. Calculate q.
0, 1, 2
Let x(c) be the third derivative of -c**8/336 + 11*c**7/210 - 17*c**6/60 + 23*c**5/30 - 29*c**4/24 + 7*c**3/6 + 2*c**2 - 20. Suppose x(w) = 0. What is w?
1, 7
Determine x, given that 0*x**4 + 299*x + 2*x**4 + 56*x**3 - 299*x + 392*x**2 = 0.
-14, 0
Let l(w) be the third derivative of 0*w - 1/40*w**6 - 1/10*w**5 + w**3 + 1/8*w**4 - 2*w**2 + 0. Factor l(f).
-3*(f - 1)*(f + 1)*(f + 2)
Let w(t) be the second derivative of 2*t**3 + 1/20*t**5 + 0 + 4*t - 4*t**2 - 1/2*t**4. Factor w(u).
(u - 2)**3
Let z = -71 + 55. Let h be 6/z - 45/(-56). Determine q, given that 0 - h*q**4 - 15/7*q**2 + 6/7*q + 12/7*q**3 = 0.
0, 1, 2
Let q(r) be the second derivative of r**6/10 - 27*r**5/10 - 3*r**4/4 + 26*r**3 + 54*r**2 - 3*r + 3. Determine f so that q(f) = 0.
-1, 2, 18
Let q be (-6)/(12/(-4))*1. Factor 4*y**2 + 4*y**4 + 114*y - 110*y - 20*y**q - y**3.
y*(y - 2)*(y + 2)*(4*y - 1)
Let u(f) be the second derivative of f**4/72 + f**3/9 + f**2/3 + 4*f - 1. What is k in u(k) = 0?
-2
Suppose 130*y = 139*y - 36. Let f(l) be the third derivative of 3*l**2 + 1/60*l**6 + 0 + 1/6*l**5 + 4/3*l**3 + 0*l + 2/3*l**y. Factor f(h).
2*(h + 1)*(h + 2)**2
Let l(m) be the second derivative of -m**6/1080 + m**5/180 + m**4/24 - m**3/2 + 5*m. Let k(p) be the second derivative of l(p). Factor k(x).
-(x - 3)*(x + 1)/3
Let o = -1892 + 1892. Let 3/2*h + 21/4*h**4 - 3/2*h**5 - 3/4*h**2 - 9/2*h**3 + o = 0. Calculate h.
-1/2, 0, 1, 2
Let a(j) = j**2 + 14*j + 15. Let v be a(-13). Suppose 0 = -c - v*c + 6. Factor 0*n**3 - 54*n**4 + 4*n**c + 0*n**2 + 2*n**2 - 15*n**3.
-3*n**2*(2*n + 1)*(9*n - 2)
Let n(h) = -h**3 + 4*h**2 + 7*h - 5. Let d be n(5). Suppose 4 = 4*k - 0*k - 2*u, -2*k + 14 = d*u. Factor 0 - 2 - 1 + t**2 + k.
(t - 1)*(t + 1)
Factor 0*n - 4/5*n**4 + 0 - 1444/5*n**2 + 152/5*n**3.
-4*n**2*(n - 19)**2/5
Factor -35/6 + 1/6*a**2 - 1/3*a.
(a - 7)*(a + 5)/6
Let a(r) be the third derivative of r**8/840 - 3*r**7/175 + r**6/20 - 7*r**5/150 - 855*r**2. Let a(q) = 0. Calculate q.
0, 1, 7
Let b be 515/110 + -3 + 0. Let a = -2/11 + b. Find p such that 1/2*