 l(-8). Let w be (-24)/(-120) + 19/v. Factor -6/5*s**w + 0 + 2/5*s**5 + 6/5*s**3 + 0*s - 2/5*s**2.
2*s**2*(s - 1)**3/5
Let d(p) = 63*p**2 - 8*p + 8. Let s be d(1). Let n be ((-18)/s)/(1 - 45/42). What is m in 0 + 2/3*m**n + 0*m + m**3 + 1/3*m**2 = 0?
-1, -1/2, 0
Solve -3*l - 5*l - 4*l**4 + 10*l - 2*l**5 - 221*l**2 + 225*l**2 = 0 for l.
-1, 0, 1
Let b(c) be the first derivative of c**5/20 - 9*c**4/8 + 9*c**3 - 119*c**2/4 + 147*c/4 + 31. Factor b(v).
(v - 7)**2*(v - 3)*(v - 1)/4
Let n(o) = -o + 1. Let j(a) = a**2 - 29*a + 48. Let i(g) = -j(g) + 6*n(g). Factor i(x).
-(x - 21)*(x - 2)
Factor -9*a + 16*a**3 - 20*a**3 + 61*a + 48.
-4*(a - 4)*(a + 1)*(a + 3)
Let m(n) be the first derivative of 9*n**4/10 + 4*n**3/5 + 4*n**2/15 + 5*n + 14. Let h(j) be the first derivative of m(j). Factor h(b).
2*(9*b + 2)**2/15
Let o(p) be the first derivative of -45*p**4/4 + 10*p**3/3 + 100*p**2 - 66. Factor o(m).
-5*m*(m + 2)*(9*m - 20)
Let u be 132/24 + 4/(-8). Let a(q) be the first derivative of 2*q**4 + 0*q + 8/21*q**3 + 0*q**2 - u + 14/5*q**5. Factor a(t).
2*t**2*(7*t + 2)**2/7
Suppose 5 = 3*n - 1. Let w be 12/(-4) + 4 + 1. Factor 0*q**2 + 3*q + q**2 - 2*q**2 - w*q**n.
-3*q*(q - 1)
Let y(z) be the second derivative of 5*z**4/18 - 115*z**3/36 - 5*z**2/2 - 7*z - 3. Factor y(a).
5*(a - 6)*(4*a + 1)/6
What is b in 148/3*b**2 - 728/9*b + 2/9*b**4 + 338/9 - 56/9*b**3 = 0?
1, 13
Let n(r) be the second derivative of -1/48*r**4 + 0 - 17*r + 0*r**2 + 1/24*r**3. Factor n(t).
-t*(t - 1)/4
Let 70*h**3 - 9*h**2 - 108*h + 35 + 19*h**2 + 159*h - 126*h + 5*h**5 - 45*h**4 = 0. Calculate h.
-1, 1, 7
Let q be 60/200 - (-6)/5. Factor 27/4*b**2 + 0 + q*b.
3*b*(9*b + 2)/4
Let b(n) = -n**2 + 16*n - 60. Let h be b(10). Let u(k) be the second derivative of h - 2/9*k**3 - 8*k + 1/36*k**4 + 2/3*k**2. Factor u(y).
(y - 2)**2/3
Let k(r) be the second derivative of 3*r**5/20 - 5*r**4/4 + 2*r**3 - 3*r - 4. Solve k(p) = 0.
0, 1, 4
Let h(v) be the first derivative of 3*v**4/10 - 22*v**3/15 - 19*v**2/5 - 2*v - 156. Factor h(x).
2*(x - 5)*(x + 1)*(3*x + 1)/5
Let z(b) be the third derivative of 2*b**6/25 - 17*b**5/50 + b**4/2 - b**3/5 - b**2 - 170. Factor z(s).
6*(s - 1)**2*(8*s - 1)/5
Let q(n) be the second derivative of -1/285*n**6 + 0 + 1/190*n**5 - 14*n + 1/114*n**4 + 0*n**2 + 0*n**3 - 1/399*n**7. Let q(x) = 0. Calculate x.
-1, 0, 1
Let h(r) be the third derivative of 0*r + 0 - 1/24*r**4 - 3*r**2 - 1/6*r**3. Let p(i) = -3*i**4 - 6*i**3 + 5*i + 2. Let t(w) = h(w) - p(w). Factor t(n).
3*(n - 1)*(n + 1)**3
Let o = -62 + 31. Let s = o + 41. Solve 16/3*h**2 - 28/3*h**4 + 0 - 26/3*h**3 + 8/3*h + s*h**5 = 0.
-2/3, -2/5, 0, 1
Suppose -382/13*i**2 + 0 - 6/13*i**3 - 252/13*i = 0. Calculate i.
-63, -2/3, 0
Suppose 28*o + 8 + 2*o**3 - 31/2*o**2 = 0. What is o?
-1/4, 4
Let n(s) = -4*s - 6 - 3*s + 5*s + s. Let a be n(-10). Factor g**2 + 6*g**a - g**4 + 0*g**2 - g**4 + 5*g**3.
g**2*(g + 1)*(4*g + 1)
Let y = -1888 - -1891. Let l(m) be the second derivative of -25/3*m**3 + y*m + 5/2*m**2 + 0 + 125/12*m**4. Factor l(v).
5*(5*v - 1)**2
Let l = -15065/6 + 5031/2. Factor -6*v**2 + 2/3*v**3 - l + 10*v.
2*(v - 7)*(v - 1)**2/3
Let m(x) be the second derivative of 1/40*x**5 + 0*x**3 + 1/12*x**4 + 0 - 1/60*x**6 + 12*x + 0*x**2. Factor m(p).
-p**2*(p - 2)*(p + 1)/2
Let f(j) be the third derivative of 4*j**7/1995 - 43*j**6/1140 + 13*j**5/114 - 17*j**4/228 - 3*j**3/19 - 103*j**2. Find r, given that f(r) = 0.
-1/4, 1, 9
Let a(l) = l**3 + 9*l**2 + 8*l. Let k be a(-8). Suppose 9*d**4 + k*d**4 + 5*d**2 - 4*d**4 + 0*d**2 - 10*d**3 = 0. What is d?
0, 1
Let v be (1/3 + (-13)/26)*-10. Let u(l) be the first derivative of 13/9*l**3 - 7 + v*l**4 + 1/3*l**2 + 0*l + 3/5*l**5. Factor u(s).
s*(s + 1)**2*(9*s + 2)/3
Let z be (-3)/(-10)*4/6. Let p be 16/7 - ((-18)/21)/(-3). Suppose 2/5 + 3/5*c + z*c**p = 0. What is c?
-2, -1
Determine b so that -103*b**2 + 313*b**2 - 109*b**2 - 106*b**2 + 32 - 78*b = 0.
-16, 2/5
Let s(u) be the first derivative of 14*u**5/75 - 11*u**4/30 - 2*u**3/15 + 11*u**2/15 - 8*u/15 + 164. Let s(q) = 0. Calculate q.
-1, 4/7, 1
Let r(h) = -5*h**2 - 22*h - 13. Let g(z) = -23*z - 17 - 1 - 5*z**2 + 6. Let k(o) = 2*g(o) - 3*r(o). Find t, given that k(t) = 0.
-3, -1
Let t(l) be the third derivative of -l**6/270 - 49*l**5/135 + 134*l**2. Factor t(x).
-4*x**2*(x + 49)/9
Factor -21/5*z**3 + 183/5*z**2 - 48/5 - 114/5*z.
-3*(z - 8)*(z - 1)*(7*z + 2)/5
Suppose -5 = d, 0 = -3*w + 2*d - 3*d + 7. Determine c so that -51*c**3 + 4*c**2 - 2*c + 3 + 53*c**3 - w - 3 = 0.
-2, -1, 1
Let w(l) = -l**5 + l**2 - l. Let o(h) = 6*h**4 - 3*h**2 - 6*h. Let t(j) = -o(j) + 3*w(j). Solve t(d) = 0 for d.
-1, 0, 1
Let x = 72 - 71. Let f be (-5)/35*(x + -6). Suppose 1/7 + 1/7*t**2 - 8/7*t**5 + 13/7*t**3 - f*t - 2/7*t**4 = 0. What is t?
-1, 1/4, 1/2, 1
Let v(a) be the third derivative of a**6/24 - a**5/30 - a**4/8 + 103*a**2 + 1. Factor v(g).
g*(g - 1)*(5*g + 3)
Let l(b) be the first derivative of b**6/27 + 40*b**5/9 - 101*b**4/18 + 591. Factor l(h).
2*h**3*(h - 1)*(h + 101)/9
Determine u, given that 15/2*u**2 - 3/4*u**3 + 0 - 27/4*u = 0.
0, 1, 9
Let n(w) = -2*w**2 - 48 + 3648*w + 3 - 3618*w. Let y(b) = -3*b**2 + 30*b - 45. Let h(k) = 2*n(k) - 3*y(k). Factor h(i).
5*(i - 3)**2
Let -2*y**3 - 120*y - 32 + 48*y**3 - 6*y**5 - 56*y**2 + 8*y**3 + 16*y**4 = 0. Calculate y.
-2, -1, -1/3, 2, 4
Let y be (2/(40/6))/(-4 - -58). Let d(z) be the third derivative of 0*z - y*z**5 + 0 - 1/36*z**4 + 0*z**3 + 4*z**2. Let d(q) = 0. What is q?
-2, 0
Let b(j) be the first derivative of 5*j**3/12 - 5*j**2/2 - 25*j/4 + 1. Let b(q) = 0. What is q?
-1, 5
Factor 30*u**2 + 38*u**2 + 18*u + 4*u**4 + 6*u + 32*u**3 - 16*u**2.
4*u*(u + 1)**2*(u + 6)
Let j(n) be the third derivative of -n**6/160 + 3*n**5/80 + n**4/2 + 3*n**3/2 + 2*n**2 + 7. Suppose j(a) = 0. What is a?
-2, -1, 6
Solve -44/7*f**2 - 4/7*f**3 - 136/7*f - 96/7 = 0 for f.
-6, -4, -1
Factor 1/4*p**4 + 0 + 7/4*p**3 + 5/4*p + 11/4*p**2.
p*(p + 1)**2*(p + 5)/4
Let z(a) = -6*a**3 - 4*a - 4. Let q be z(-1). Suppose 3*m + 5*b = 21, -5*m = -b - q - 1. Determine j so that 2/3*j**4 + 0 - 2/3*j**m - 2/3*j**3 + 2/3*j = 0.
-1, 0, 1
Let q be (3 - (-12)/(-2))/(-1). Let v(i) be the second derivative of 0 + 5*i - 1/24*i**4 + 1/60*i**6 + 0*i**2 - 1/40*i**5 + 1/12*i**q. Factor v(j).
j*(j - 1)**2*(j + 1)/2
Let o(i) = 97*i + 4. Let r be o(0). Let m(h) be the second derivative of 0*h**2 + 1/6*h**6 + 0*h**r + 10/3*h**3 + 8*h - 3/4*h**5 + 0. Solve m(p) = 0.
-1, 0, 2
Let z(n) = 2*n**5 + 2*n**4 + 6*n**3 + 2*n**2 - n. Let h(u) = -3*u**5 - 2*u**4 - 7*u**3 - 4*u**2. Let i(l) = 3*h(l) + 4*z(l). Factor i(m).
-m*(m - 2)**2*(m + 1)**2
Factor -16/5*r**4 - 224/5*r**2 - 128/5 + 88/5*r**3 + 272/5*r + 1/5*r**5.
(r - 8)*(r - 2)**4/5
Suppose m + 0*m - 4 = -2*n, 3*n + 4*m = 11. Factor n + 3 + l**2 - 2*l - 3*l.
(l - 4)*(l - 1)
Let z = -68 - -44. Let d be z/(((-9)/(-6))/(-1)). Let -12*g**2 + 8*g**3 - 17 - d + 37 = 0. Calculate g.
-1/2, 1
Let c(a) be the second derivative of -a**6/6 + 27*a**5/4 - 175*a**4/2 + 250*a**3/3 + 7500*a**2 + 4*a - 26. Suppose c(v) = 0. Calculate v.
-3, 10
Let s(m) = m**3 - 24*m**2 + 120*m - 15. Let v be s(17). Determine r, given that -33/7*r**4 - 6/7*r + 0 - 30/7*r**5 + 15/7*r**v + 18/7*r**3 = 0.
-1, 0, 2/5, 1/2
Let u(l) be the second derivative of 4*l**7/21 - 32*l**6/15 + 97*l**5/10 - 47*l**4/2 + 33*l**3 - 27*l**2 - 193*l. Solve u(o) = 0.
1, 3/2, 3
Factor 8/7*x**3 + 2/7*x**4 + 0*x - 10/7*x**2 + 0.
2*x**2*(x - 1)*(x + 5)/7
Let f(n) be the second derivative of -n**4/28 - 222*n**3/7 - 73926*n**2/7 - 317*n. Determine x so that f(x) = 0.
-222
Suppose 0 = 2*z - 3 - 1. Suppose 5 = -5*k - 2*s - s, -z*k - 11 = 3*s. Let k*a - 2*a**4 + 6*a**3 + 0*a**2 - 4*a**2 - 3*a**2 + a**2 = 0. Calculate a.
0, 1
Let m(c) be the first derivative of -c**5/5 + 7*c**4/4 - 5*c**3/3 - 31*c**2/2 + 30*c + 515. Suppose m(h) = 0. What is h?
-2, 1, 3, 5
Let x(q) = -q**3 - 5*q. Let u(o) = 6*o**3 + 23*o + 5*o**3 - o**3 + 32*o. Let y(w) = 6*u(w) + 65*x(w). Factor y(d).
-5*d*(d - 1)*(d + 1)
Let y(p) = -14*p**2 + 18*p - 16. Let q(x) = -x**2 + 1 + 2*x**2 - 12*x + 11*x. Let f(a) = 12*q(a) + y(a). Factor f(i).
-2*(i - 2)*(i - 1)
Factor 54*n + 182*n**2 + 46 - 88*n**2 - 96*n**2 - 10*n.
-2*(n - 23)*(n + 1)
Let y be (-1)/(-1) + 0 - (8 + -10). Solve 2*m + 5*m**y + m**5 - 7*m**3 - m = 0