Let l = v - -9. Factor 0*j**l + 2/3 + 2/3*j**4 + 0*j - 4/3*j**2.
2*(j - 1)**2*(j + 1)**2/3
Suppose -11 = 4*o + 13. Let h(f) = -f - 1. Let k(l) = -7*l**2 - l - 4. Let y(g) = o*h(g) + k(g). Find d, given that y(d) = 0.
-2/7, 1
Determine l so that 4/9*l**2 + 5/9 - 7/3*l = 0.
1/4, 5
Let v(x) be the second derivative of -x**6/15 + x**5 - 4*x**4 + 22*x**3/3 - 7*x**2 + 13*x + 3. Factor v(s).
-2*(s - 7)*(s - 1)**3
Let r(y) be the second derivative of -y**5/5 - 2*y**4/3 + 2*y**3 + 12*y. Factor r(a).
-4*a*(a - 1)*(a + 3)
Let -2/3*q - 1/3*q**2 + 1 = 0. Calculate q.
-3, 1
Let o(k) = -10*k**2 - 33*k + 9. Let c(a) = -a**2 + a - 1. Let h(r) = 15*c(r) + 3*o(r). What is p in h(p) = 0?
-2, 2/15
Let b = -799/7 + 115. Factor -4/7*v - 2/7*v**2 + b.
-2*(v - 1)*(v + 3)/7
Let n(d) be the third derivative of 3*d**7/140 + 11*d**6/240 - 7*d**5/120 - 11*d**4/48 - d**3/6 - 6*d**2. Factor n(v).
(v - 1)*(v + 1)**2*(9*v + 2)/2
Determine d so that 2054 - 2*d**2 + 7*d + 25*d - 2182 = 0.
8
Find z such that 0*z**2 + 3/8*z**3 - 3/8*z**4 + 0 + 0*z = 0.
0, 1
Let v(y) = y**3 - 13*y**2 + 14*y - 19. Let l be v(12). Let t(n) be the third derivative of -n**2 + 1/90*n**l + 1/9*n**3 + 0 + 1/18*n**4 + 0*n. Factor t(x).
2*(x + 1)**2/3
Determine t, given that -686/3*t**5 + 16/3 + 56*t + 518/3*t**3 - 196*t**4 + 572/3*t**2 = 0.
-1, -2/7, 1
Let g be ((-6)/(-2))/(-12) - 697/(-820). Factor 3/5*p**3 - 3/5*p - g*p**4 + 0 + 3/5*p**2.
-3*p*(p - 1)**2*(p + 1)/5
Let k(d) = -6*d**3 + 24*d**2 - 21*d + 3. Let o be ((-6)/(-4))/(4/(-24)). Let l(t) = 3*t**3 - 12*t**2 + 11*t - 2. Let h(j) = o*l(j) - 4*k(j). Factor h(v).
-3*(v - 2)*(v - 1)**2
Let v(c) be the third derivative of -c**8/336 + c**7/105 - 7*c**2. Factor v(s).
-s**4*(s - 2)
Suppose -3*m + 3*g = -7*m, 2*m + 10 = -4*g. Find v, given that -5*v**3 + v**m - 3*v**5 + 5*v**5 + 2*v + 0*v**5 = 0.
-1, 0, 1
Let w(z) = z - 8. Let x be w(8). Solve -16/5*u**4 + 6/5*u**5 + x - 4/5*u**2 + 0*u + 14/5*u**3 = 0.
0, 2/3, 1
Let j(g) be the third derivative of -g**5/75 + g**4/15 + 2*g**3/5 - 8*g**2. Factor j(f).
-4*(f - 3)*(f + 1)/5
Suppose -b = -0*b - 10. Let q be ((-4)/b)/(6 - 7). Factor 0*d - q*d**4 + 0*d**3 + 0 + 0*d**2.
-2*d**4/5
Let m(k) = -26*k**2 + 86*k - 60. Let c(t) = 5*t**2 - 17*t + 12. Let u(y) = 11*c(y) + 2*m(y). Factor u(w).
3*(w - 4)*(w - 1)
Factor 1/8*k**2 + 8 + 2*k.
(k + 8)**2/8
Let z be -4 - (0 - 3) - -3. Let d(u) be the first derivative of -1/12*u**3 - 1/4*u**z + 1 - 1/4*u. Factor d(p).
-(p + 1)**2/4
Factor -3*o**5 - 3*o**4 - 136*o**2 - 9*o**3 + 133*o**2 - 6*o**4.
-3*o**2*(o + 1)**3
Suppose 1/5*z + 0 - 1/5*z**2 = 0. Calculate z.
0, 1
Let s(r) be the first derivative of 1/3*r**3 - 5 + 1/2*r**2 + 0*r. Factor s(d).
d*(d + 1)
Solve 1/7*k**2 + 0 - 1/7*k = 0 for k.
0, 1
Let a(l) be the third derivative of -l**8/10080 + l**7/1260 - l**5/20 + 3*l**2. Let h(t) be the third derivative of a(t). Factor h(b).
-2*b*(b - 2)
Let p(x) be the first derivative of -3*x**4/20 + x**3/2 - 3*x**2/5 + 3*x + 3. Let m(v) be the first derivative of p(v). Solve m(a) = 0 for a.
2/3, 1
Let l(o) be the first derivative of -o**6/120 - o**5/30 + o**4/24 + o**3/3 - 5*o**2/2 - 4. Let n(m) be the second derivative of l(m). Factor n(p).
-(p - 1)*(p + 1)*(p + 2)
Factor 0*a + 1/2*a**2 + 1/6*a**3 - 2/3.
(a - 1)*(a + 2)**2/6
Factor 2*a**2 - 6*a**2 + 3*a + 26*a**3 - 2*a**2 - 23*a**3.
3*a*(a - 1)**2
Let q(f) = 508*f**4 + 800*f**3 + 412*f**2 + 72*f + 8. Let h(d) = -d**4 + d**2 - 1. Let u(t) = -8*h(t) - q(t). Factor u(b).
-4*b*(5*b + 2)*(5*b + 3)**2
Let a(t) = -4*t**2 + 2*t + 2. Let h(k) = -3*k**2 + 2*k + 2. Let f(u) = -2*a(u) + 3*h(u). Let l be f(2). Factor -1/2*x**3 + 1/2*x**l + 0*x + 0.
-x**2*(x - 1)/2
Factor -3/2*f**3 - 9/2*f**2 + 6 + 0*f.
-3*(f - 1)*(f + 2)**2/2
Suppose 0*h = -2*h + 2. Let m = h - -1. Factor -l + 2*l + 5*l + 6*l**m + 2*l**3 + 2.
2*(l + 1)**3
Suppose 3*y - 13 = 5*m + 4, 0 = m + 2*y - 7. Let u(c) = -c - 1. Let h(b) = 3*b**2 - 3. Let a(q) = m*h(q) - 3*u(q). Suppose a(v) = 0. Calculate v.
-1, 2
Let j(c) = 4*c + 3. Let f be j(0). Let v(w) be the first derivative of -2/9*w**2 - 1/18*w**4 + 0*w + 3 - 2/9*w**f. Factor v(s).
-2*s*(s + 1)*(s + 2)/9
Let z = 9 + -8. Factor -j**3 + 2*j + 0*j**3 - 2*j**3 - j**4 + j**3 + z.
-(j - 1)*(j + 1)**3
Let o = -69265/72 + 962. Let v = 53/72 - o. What is w in v*w**2 + 0*w + 0 = 0?
0
Let l(g) = -g**2 - 12*g - 8. Let b be l(-11). Suppose 0 = -b*n + n. Factor 2/3*w**5 + 0*w + 4/3*w**4 + n + 2/3*w**3 + 0*w**2.
2*w**3*(w + 1)**2/3
Suppose -102 = 6*s - 8*s. Let 51 + 9*b**4 - 3*b**5 - s - 9*b**3 + 3*b**2 = 0. Calculate b.
0, 1
Let z(w) be the second derivative of w**5/70 + w**4/14 + 2*w**3/21 - 6*w. Factor z(v).
2*v*(v + 1)*(v + 2)/7
Let g(o) be the first derivative of -o**3/6 + 3*o**2/2 - 4*o + 74. Determine i so that g(i) = 0.
2, 4
Factor -3/2*u**3 + 1/2*u**4 + 0 + 0*u**2 + 2*u.
u*(u - 2)**2*(u + 1)/2
Let b be (9/(-18))/((-10)/4 + 1). Let 0*g + 1/3*g**3 + 1/3*g**2 + 0 - b*g**5 - 1/3*g**4 = 0. What is g?
-1, 0, 1
Let z(r) be the third derivative of -1/15*r**3 - 1/30*r**4 + r**2 + 0*r + 1/50*r**5 + 0. Find j, given that z(j) = 0.
-1/3, 1
Let u = 3 - 0. Suppose -4*z + 0*z - 4*v = -8, u*z - 6 = 4*v. Factor 2*y**z + 3*y**2 - 3*y**2 - 2*y**3 - 2*y**4 + 2*y.
-2*y*(y - 1)*(y + 1)**2
Suppose 2*k - 6 = -0*k. Solve 2*i**k + 4 + i**3 - 4 = 0.
0
Suppose -6 = -2*a - 2. Factor 2/7*s**4 - 2/7*s + 0 - 2/7*s**a + 2/7*s**3.
2*s*(s - 1)*(s + 1)**2/7
Let u = -36 + 75/2. Factor 1/2*s**5 + u*s**3 + 0 + 3/2*s**4 + 1/2*s**2 + 0*s.
s**2*(s + 1)**3/2
Let u = 0 - 0. Suppose u = -b + 2*b - 7. Find v, given that -b*v**5 + v**2 - 15*v**3 + 19*v**4 - 2*v + 2*v + 2*v = 0.
-2/7, 0, 1
Let f be (-9)/2*12/(-18). Let r(h) be the second derivative of -1/60*h**4 + h + 1/10*h**2 + 1/30*h**f - 1/100*h**5 + 0. Let r(t) = 0. Calculate t.
-1, 1
Suppose 6*f - 45 = -5*n + f, 2*n - 3 = f. Let w be (-2)/(n*(-1)/6). Let x**2 - w*x**2 + 0*x**2 + 5*x - 3*x = 0. Calculate x.
0, 1
Let c be (3 + (1 - 5))/((-7)/4). Factor 2/7*w**2 + 0*w + 2/7*w**4 + c*w**3 + 0.
2*w**2*(w + 1)**2/7
Factor 16*z**3 - 14*z**3 - 90 - 2*z**4 - 72 - 108*z**2 + 22*z**3 + 216*z.
-2*(z - 3)**4
Let v(m) be the third derivative of m**7/2100 - m**6/1200 - m**5/600 + m**4/240 + 23*m**2. Factor v(t).
t*(t - 1)**2*(t + 1)/10
Let x(s) be the second derivative of 3/20*s**5 + 10*s + 0 + 0*s**3 + 0*s**2 + 0*s**4. Determine p so that x(p) = 0.
0
Suppose -5*t + 14 + 11 = 0. Let d be 1/5*(t - 2). Let 6/5*c**3 - 3/5 - d*c**4 + 6/5*c**2 - 3/5*c - 3/5*c**5 = 0. Calculate c.
-1, 1
Let a(c) be the first derivative of c**8/168 + 2*c**7/105 - c**5/15 - c**4/12 - 2*c**2 - 4. Let g(q) be the second derivative of a(q). Solve g(i) = 0.
-1, 0, 1
Let n = 73/147 - 8/49. Factor 2/3 - 1/3*m**2 - n*m.
-(m - 1)*(m + 2)/3
Determine l so that -16/5*l**2 + 2/5*l**5 - 12/5*l**3 + 0*l**4 + 0 - 6/5*l = 0.
-1, 0, 3
Let u(b) be the third derivative of 1/6*b**4 + 1/210*b**7 - 1/24*b**6 + 0 + 1/10*b**5 + 0*b - 4/3*b**3 + 2*b**2. Factor u(w).
(w - 2)**3*(w + 1)
Let n(d) be the first derivative of d**6/15 + 2*d**5/25 - d**4/5 - 4*d**3/15 + d**2/5 + 2*d/5 - 8. What is a in n(a) = 0?
-1, 1
Let r(c) = c**4 + 6*c**3 - 6*c**2 - 4*c + 9. Let a(z) = 9*z**4 + 48*z**3 - 47*z**2 - 31*z + 72. Let t(d) = -6*a(d) + 51*r(d). Solve t(y) = 0 for y.
-1, 1, 3
Let v = 39 + -33. Let h = 6 - v. Determine r so that h - 2/7*r + 2/7*r**3 - 2/7*r**2 + 2/7*r**4 = 0.
-1, 0, 1
Suppose 3*q = k, -4*k - 5*q + q = 0. Let v(c) be the third derivative of 0*c**4 + 1/180*c**5 + k + 0*c**3 + 0*c + 1/180*c**6 - 3*c**2 + 1/630*c**7. Factor v(h).
h**2*(h + 1)**2/3
Let k(q) = 5*q**3 - 2*q**2 - 11*q + 6. Let f = -9 - -11. Let a(g) = 6*g**3 - 3*g**2 - 12*g + 6. Let b(t) = f*a(t) - 3*k(t). Factor b(z).
-3*(z - 1)**2*(z + 2)
Find n such that -25/3*n**2 + 0 - 5/3*n**5 - 5*n**3 + 20/3*n + 25/3*n**4 = 0.
-1, 0, 1, 4
Let w be 1/(-4)*(-6 + (-4 - -2)). Determine p so that -p**w - 5/2*p**3 + 1 + 5/2*p = 0.
-1, -2/5, 1
Let b(o) be the second derivative of o**4/36 + o**3/54 - o**2/9 + 23*o - 1. Let b(f) = 0. What is f?
-1, 2/3
Let t(l) = -34*l**2 - 174*l - 306. Let x(d) = 7*d**2 + 35*d + 61. Let p(k) = 3*t(k) + 14*x(k). Find w, given that p(w) = 0.
-4
Let w = -56/33 + 211/66. Determine q, given that 0*q**2 + 0 + 0*q + w*q**5 + 3*q**3 + 9/2*q**4 = 0.
-2, -1, 0
Let x(u) be the first derivative of 2*u**7/21 - 2*u**5/5 + 2*u**3/3 