- 1)**2*(3*x - 1)/7
Let u(l) = -2*l**2. Let g be u(-1). Let c(i) = -12*i**3 - 7*i**2 + 36*i - 17. Let w(h) = -4*h**3 - 2*h**2 + 12*h - 6. Let f(z) = g*c(z) + 7*w(z). Factor f(y).
-4*(y - 1)**2*(y + 2)
Let p = 194 + -77. Factor 22*v**3 - 439 + 435 - 24*v - 207*v**4 + p*v**3 + 81*v**5 + 15*v**2.
(v - 1)**3*(9*v + 2)**2
Let g be -2 - 25/(-10)*2. Factor y + y + 2*y**g - y**3 + 5*y**2 - 2*y**2.
y*(y + 1)*(y + 2)
Suppose 58*f - 93 = 197. Factor -30*v**4 + 15*v**2 - 6*v**f + 30*v - 12 - 75/2*v**3.
-3*(v + 2)**3*(2*v - 1)**2/2
Let s(q) be the third derivative of q**6/360 + q**5/360 - q**4/72 - q**3/36 - 170*q**2. Solve s(o) = 0 for o.
-1, -1/2, 1
Let p(b) be the second derivative of -5*b**7/504 + b**6/18 - 2*b**5/15 + 2*b**4 - 10*b. Let l(s) be the third derivative of p(s). Determine k so that l(k) = 0.
4/5
Factor -7*w**4 + 3*w**4 + 397*w**3 - 399*w**3 + 3*w + 0*w + 4*w**2 - w**5.
-w*(w - 1)*(w + 1)**2*(w + 3)
Let t(l) = 2*l**3 - 5*l**2 + 3*l - 6. Let k be t(4). Let f = k - 52. Suppose -2/5*u**f - 2/5*u + 4/5 = 0. What is u?
-2, 1
Let u(k) = k**2 + 11*k + 19. Let d be u(-7). Let w be 3/d + (-102)/(-63). Find v, given that 0 + 0*v**2 + 3/7*v**5 + 6/7*v**3 + w*v**4 + 0*v = 0.
-2, -1, 0
Let g be (11/(-2))/(2/(-4)). Factor -3 - g*w**3 + 2*w + 9*w**3 + 3.
-2*w*(w - 1)*(w + 1)
Let m be ((-42)/(-84))/(1/(-12)) + 8. Factor -3/5*k**m - 12/5*k - 12/5.
-3*(k + 2)**2/5
Let h(y) be the second derivative of y**6/30 - 31*y**5/20 - 65*y**4/12 - 11*y**3/2 + 548*y. What is v in h(v) = 0?
-1, 0, 33
Let s be (-36)/(-27)*3/2. Suppose -v + s*v = 2, 0 = w + 3*v - 11. Factor 9*g**3 + 13*g**4 + 3*g**5 - g**2 - 13*g + 11*g + 2*g**w.
g*(g + 1)**3*(5*g - 2)
Find j such that 43/8*j**3 + 0 + 1/8*j**5 + 15/2*j**2 + 7/2*j + 3/2*j**4 = 0.
-7, -2, -1, 0
Let c be -41 + ((-32)/(-20) - 4/(-10)). Let a be (-4 - -10)/(-6) + c/(-15). Find z such that -4/5*z**4 + 0 + 2/15*z**5 - a*z**2 + 8/15*z + 26/15*z**3 = 0.
0, 1, 2
Suppose 99*z + 12 = 103*z. Determine j so that -5 + z - 3*j**2 - 7 - 4*j - 8*j = 0.
-3, -1
Let r(z) = 3*z**5 + 7*z**4 - 18*z**3 + 3*z**2 + 5*z - 5. Let y(n) = -4*n**5 - 6*n**4 + 18*n**3 - 2*n**2 - 6*n + 6. Let v(c) = -6*r(c) - 5*y(c). Factor v(a).
2*a**2*(a - 4)*(a - 1)**2
Let r = 2883 - 2879. Find b, given that -2*b**3 - 1 + 2*b**r + 5/2*b - b**2 - 1/2*b**5 = 0.
-1, 1, 2
Let p = 6 + -46. Let w be (-2)/(-11) - p/22 - -3. Factor 0 - 52/7*z**4 - 4/7*z - 60/7*z**3 - 4*z**2 - 16/7*z**w.
-4*z*(z + 1)**3*(4*z + 1)/7
Suppose -2*o = -5*y + 6, -3*y = -0*y + o - 8. Factor 22*x - 6*x**4 + 33*x**4 + 63*x**y - 75*x**3 - 2 - 4 - 31*x.
3*(x - 1)**3*(9*x + 2)
Let w(x) = -5*x**2 - 61*x + 79. Let q(d) = -d**2 - 15*d + 20. Let z(a) = -9*q(a) + 2*w(a). Factor z(n).
-(n - 11)*(n - 2)
Let q(s) be the first derivative of 3/10*s**5 + 0*s**2 + 0*s - 1/2*s**3 + 0*s**4 - 8. Determine p, given that q(p) = 0.
-1, 0, 1
Suppose x - 5*x - 2*s = -14, 5*s - 19 = -2*x. Let k be (0 + 1)*1 + x. Suppose 0*g**4 - 3*g**3 + g**4 + 2*g**k + 0*g**4 = 0. What is g?
0, 1
Let q(i) be the second derivative of -3/40*i**6 + 3/8*i**4 + 0*i**3 + 0*i**2 + 29*i + 0 + 21/80*i**5. Find p, given that q(p) = 0.
-2/3, 0, 3
Let y = -366 - -370. Let f(o) be the first derivative of 1/3*o**3 - 2/3*o**y + 4/15*o**5 - 2 - 1/3*o + 1/3*o**2. What is u in f(u) = 0?
-1/2, 1/2, 1
Factor -24/5 + 2/5*x + 2/5*x**2.
2*(x - 3)*(x + 4)/5
Let p be (-6)/(-8) - (-6 - 100/(-16)). What is x in -2*x**4 - 3/2*x**5 + p*x**3 + 0 + x**2 + 0*x = 0?
-1, 0, 2/3
Let t(k) be the third derivative of -2 - 27*k**2 - 1/270*k**5 + 0*k + 4/27*k**3 - 1/36*k**4. Let t(b) = 0. Calculate b.
-4, 1
Let s(o) be the second derivative of -2/21*o**3 + 0 + 3*o - 1/7*o**2 - 1/42*o**4. Factor s(l).
-2*(l + 1)**2/7
Determine t so that 21/2 - 9/4*t**3 - 15*t**2 + 27/4*t = 0.
-7, -2/3, 1
Let u(t) be the first derivative of -t**7/2520 + t**5/360 + 14*t**3/3 + 2. Let h(l) be the third derivative of u(l). Determine a, given that h(a) = 0.
-1, 0, 1
Let i(q) be the first derivative of q**4/18 + 4*q**3/27 - 16*q**2/9 - 64*q/9 - 92. Find a such that i(a) = 0.
-4, -2, 4
Let n = -10503 + 10503. Determine c, given that n*c**3 + 12/5*c**2 - 2/5*c**4 + 16/5*c + 6/5 = 0.
-1, 3
Let p = -89 + 91. Let 8*g**2 + 7*g - p*g**2 - 9*g + 0*g**2 = 0. What is g?
0, 1/3
Let w(r) be the first derivative of -25*r**4/34 + 1380*r**3/17 - 1644*r**2/17 + 656*r/17 - 137. Solve w(c) = 0 for c.
2/5, 82
Let n = -32/35 - -19/20. Let f(w) be the third derivative of 0 + n*w**4 - 1/420*w**6 + 0*w**5 - 2/21*w**3 + 0*w + w**2. Factor f(r).
-2*(r - 1)**2*(r + 2)/7
Let x(w) be the first derivative of -13 - 1/9*w**3 + 7/12*w**2 - 1/2*w. Factor x(n).
-(n - 3)*(2*n - 1)/6
Let a(x) be the second derivative of -75/14*x**2 - 1/28*x**4 - 5/7*x**3 - 15*x + 0. Suppose a(j) = 0. Calculate j.
-5
Let n be 8/(-28) + 10/(-112) - 96/(-256). Factor -2/5*x + 1/5*x**2 + n.
x*(x - 2)/5
Let x be (-29*124/(-4495))/(4/10). Factor -2/5*a**3 - 1/5*a**5 - 3/5*a**4 + 3/5*a + 1/5 + 2/5*a**x.
-(a - 1)*(a + 1)**4/5
Let a(s) be the third derivative of s**6/120 - s**4/24 + 3*s**2. Let u(w) = 15*w + 5*w**3 - 4*w**3 - 16*w. Let d(b) = -5*a(b) + 2*u(b). Factor d(t).
-3*t*(t - 1)*(t + 1)
Let g be (-12)/(-1)*(-5)/10. Let a be g/(-15) - 2/(-90)*-3. Factor a*m**4 + 0*m**2 + 2/3*m**3 + 0 + 0*m.
m**3*(m + 2)/3
Let m = -132 + 136. Suppose 0 = -m*o - 12, 0*o + 4*o = 3*p - 18. Find w such that 1/7*w**p + 0 - 1/7*w**4 + 1/7*w - 1/7*w**3 = 0.
-1, 0, 1
Suppose -2*u + 3 = -4*p - 19, 0 = -5*u + 4*p + 31. Let a be (9/7 - 2) + u + -2. Find t, given that 6/7*t - 4/7 - a*t**2 = 0.
1, 2
Let h(v) be the second derivative of v**6/24 - v**5/4 + 10*v**3/3 + 15*v**2/2 + 11*v. Let g(f) be the first derivative of h(f). Factor g(r).
5*(r - 2)**2*(r + 1)
Suppose -3*h = 2*s - 4, 1066*s - 1064*s - h = 4. Let t = -1 - -1. Determine a, given that 0*a + 0 + 0*a**s + 4/9*a**4 - 2/9*a**5 + t*a**3 = 0.
0, 2
Let j be (-15)/6*2 - -8. Let s(u) be the third derivative of -1/24*u**j + 1/24*u**4 + 0 + 0*u + 3*u**2 - 1/60*u**5. Factor s(h).
-(2*h - 1)**2/4
Factor -8*h**2 - 2 - 4*h + 52*h**4 - 4*h - 88*h**4 + 46*h**4 + 4*h**3 + 4*h**5.
2*(h - 1)*(h + 1)**3*(2*h + 1)
Let t(s) be the third derivative of 4*s**5/15 - 10*s**2. Let i be t(1). Let 10*u**2 - i - 307*u**4 - 62*u**2 - 24*u**3 + 303*u**4 - 48*u = 0. Calculate u.
-2, -1
Let x(g) = -g**4 + 7*g**3 - 22*g**2 + 6*g - 6. Let f(z) = 2*z**2 + z - 5 + 3 - z**2 + 3. Let m(v) = 6*f(v) + x(v). Suppose m(h) = 0. Calculate h.
0, 2, 3
Let d(k) be the first derivative of 18 + 16/9*k**2 + 2/27*k**3 + 128/9*k. Solve d(y) = 0.
-8
Let t = -1135/4 + 17033/60. Let x(n) be the second derivative of 0*n**2 + 1/3*n**4 + 8*n + 0 - 2/21*n**7 + 0*n**3 - t*n**6 + 1/5*n**5. Let x(u) = 0. What is u?
-1, 0, 1
Let -53/3 - 50/3*s**3 + 1/3*s**4 - 158/3*s - 52*s**2 = 0. What is s?
-1, 53
Let a be 5 - ((-4)/1 + 3). Let c be (-3 - -3)*3/a. Suppose 0*q**3 + 2/5 + 2/5*q**4 + c*q - 4/5*q**2 = 0. What is q?
-1, 1
Let r(y) be the third derivative of y**5/20 + 5*y**4/8 - 3*y**3 - 17*y**2 + 5. Find p such that r(p) = 0.
-6, 1
Suppose -h + 5*c - 36 = 0, 4*h - h + c + 60 = 0. Let l be 8/h*(-1)/(16/72). Factor 0 + 8/7*q + 4/7*q**3 - l*q**2.
4*q*(q - 2)*(q - 1)/7
Suppose -66*v = 56*v - 244. Factor 0 + 1/3*i - 1/2*i**v + 0*i**3 + 1/6*i**4.
i*(i - 1)**2*(i + 2)/6
Let d(v) be the second derivative of v**4/6 - 5*v**3/6 + 11*v**2/2 - 12*v. Let y(z) = 8*z**2 - 19*z + 45. Let n(r) = -26*d(r) + 6*y(r). Factor n(i).
-4*(i - 2)**2
Let b(c) be the first derivative of 3/14*c**3 - 4 + 1/14*c**4 + 3/14*c**2 + 2*c. Let k(s) be the first derivative of b(s). Factor k(m).
3*(m + 1)*(2*m + 1)/7
Suppose 1/4*d**4 - 9/4*d - 7/4*d**3 + 0 + 15/4*d**2 = 0. What is d?
0, 1, 3
Let u(o) = 15*o**3 - 111*o**2 + 46*o. Let l(w) = 75*w**3 - 555*w**2 + 231*w. Let z(i) = 4*l(i) - 21*u(i). Factor z(v).
-3*v*(v - 7)*(5*v - 2)
Let c be (-1)/((-4)/20) - 4. Let v be 3*(-1)/(-1) + c. Let 11 - 4 - 7 + 4*y**2 - 50*y**5 - v*y + 33*y**3 - 25*y**4 = 0. Calculate y.
-1, -2/5, 0, 2/5, 1/2
Let w = -591 - -1191/2. Factor w*u**3 + 0 + 3*u**2 - 3/2*u.
3*u*(u + 1)*(3*u - 1)/2
Let j(b) = -7*b**3 - 2*b**2 + 10*b - 16. Let d(z) = 8*z**3 + 3*z**2 - 11*z + 16. Let y(v) = -6*d(v) - 7*j(v). What is h in y(h) = 0?
-2, 2, 4
Let g(c) be the third derivative of 0*c + 0*c**3 - 9/8*c**4 - 1/360*c**6 + 0 + 9*c**2 + 1/10*c**5. Factor g(o).
-o*(o - 9)**2/3
Let 