+ 0*t**4 + 0*t + 0.
2*t**3*(t - 1)*(t + 1)/13
Let j = 29 - 17. Suppose y - j = -2*y. Factor -4*c**2 + y*c - 20*c**4 + 24*c**4 - 4*c**3 + 0*c.
4*c*(c - 1)**2*(c + 1)
Suppose g - 4*b + 9 = 0, -g + 5*b + 12 = 8*b. Let y(z) be the first derivative of -1/6*z**4 - 2/45*z**5 + 0*z**2 - 4/27*z**g + 0*z + 2. Factor y(h).
-2*h**2*(h + 1)*(h + 2)/9
Let y = -2/649 - -1328/9735. Let r = y - -1/15. Factor -r*i**2 + 3/5*i - 2/5.
-(i - 2)*(i - 1)/5
Let o(k) be the first derivative of -2*k**2 - 30 - 2/9*k**3 + 0*k. Solve o(s) = 0.
-6, 0
Let f be (-1)/(-4) + ((-261)/(-60) - 4). Let v(n) be the second derivative of n**3 + f*n**5 + 9/4*n**4 + 0 + 0*n**2 - 7*n. Factor v(b).
3*b*(b + 2)*(4*b + 1)
Let w be (-1)/(-2) + 1960/80. Find u such that w*u + 5/3*u**3 + 15 + 35/3*u**2 = 0.
-3, -1
Let -15*x**3 - 25/2*x**2 + 0 + 25/2*x**4 + 15*x = 0. What is x?
-1, 0, 1, 6/5
Let k(i) be the second derivative of 1/77*i**7 - 8/11*i**2 + 28/33*i**3 - 38*i - 19/110*i**5 + 2/165*i**6 + 0 - 1/11*i**4. Solve k(u) = 0.
-2, 1/3, 1, 2
Let z(n) = n + 19. Let m be z(-7). Let t be (81/25 - 3)/(m/30). Determine y, given that t*y**2 + 2/5 + 7/5*y = 0.
-2, -1/3
Let u(a) = a**3 + 5*a**2 + 5*a + 3. Let l be u(-3). Suppose -3*o = -0*o - l. Let -5*k**4 + 2*k**3 + 0*k**4 - o*k**5 + 0*k**5 + 2*k**2 + 3*k**4 = 0. What is k?
-1, 0, 1
Suppose -4*r + 15 = t, -7*t + 9*t = 3*r - 14. Let u(w) be the second derivative of 0*w**2 + 1/36*w**r + 0 + 1/18*w**3 + 2*w. Factor u(h).
h*(h + 1)/3
Let s(o) be the first derivative of 3*o**4/4 - 3*o**3 - 3*o**2/2 + 9*o + 201. Factor s(d).
3*(d - 3)*(d - 1)*(d + 1)
Determine o so that 4/5*o - 24/5 + 4/5*o**2 = 0.
-3, 2
Let g = -2/4361 - 196229/34888. Let m = -193/40 - g. Determine y so that -m*y - 2/5*y**2 + 0 = 0.
-2, 0
Let -3/8*z**3 + 0*z + 1/4*z**2 + 0 + 1/8*z**4 = 0. Calculate z.
0, 1, 2
Let j(y) be the third derivative of -y**6/40 - 19*y**5/10 + 39*y**4/8 - 344*y**2. Factor j(s).
-3*s*(s - 1)*(s + 39)
Let j(b) = -b**2 - 9*b + 12. Let i(w) = -5*w + 10. Let t be i(4). Let a be j(t). Factor 4*r**2 - 4*r + 4*r**3 - 3*r**2 + 8 - 9*r**a.
4*(r - 2)*(r - 1)*(r + 1)
Let f be ((-16)/10)/((-6)/75). Factor -5*m**3 + 9 - 15 - 4*m**2 + m**3 + f*m - 6.
-4*(m - 1)**2*(m + 3)
Let r be 1*(1*-1 + 6). Let f(b) = 45*b + 589. Let a be f(-13). Factor -h - a*h**r + 12*h**3 - h - 8*h**2 + 2*h.
-4*h**2*(h - 1)**2*(h + 2)
Let g(p) = 2 - 1 + p - p**4 + 0*p**3 - 2*p**3 + p**3. Let c(r) = -2*r**4 + r**3 - r + 2. Let l(t) = c(t) - 5*g(t). Determine w so that l(w) = 0.
-1, 1
Let j(o) be the second derivative of o**7/84 + o**6/18 + o**5/20 - o**4/9 - o**3/4 - o**2/6 + 7*o. Determine q, given that j(q) = 0.
-2, -1, -1/3, 1
Suppose 3*f = -4*z + 18, 3*z - f - 19 = -6*f. Suppose -3/8*s**4 - 27/8*s**z - 45/4*s**2 - 9 - 33/2*s = 0. Calculate s.
-3, -2
Let k(j) = j**2 - 3*j. Let a(s) = -7*s**2 + 45*s - 30. Let i(q) = -a(q) - 4*k(q). Factor i(h).
3*(h - 10)*(h - 1)
Let r(h) be the third derivative of 0 + 1/25*h**5 + 0*h + 0*h**3 + 1/200*h**6 + 45*h**2 + 1/10*h**4. Factor r(x).
3*x*(x + 2)**2/5
Let p be (-12)/5*(28 + 1542/(-54)). Find c, given that 2*c**3 + 1/3*c**4 + 0 + 3*c**2 + p*c = 0.
-4, -1, 0
Let h be (-702)/(-11) + (-16)/(-88). Let y = -62 + h. Suppose 4/3*z + 14/3*z**5 + 0 - 10/3*z**y - 6*z**3 + 10/3*z**4 = 0. What is z?
-1, 0, 2/7, 1
Let n(g) = g**3 - 29*g**2 + 186*g - 700. Let l be n(22). Find v, given that 2/7*v**5 + 0*v + 0 + 2/7*v**l - 2/7*v**3 - 2/7*v**2 = 0.
-1, 0, 1
Let k = -74 - -76. Suppose 2*n = -k*n + 8. Factor -1/2*b - 1/2*b**3 + 7/4*b**4 + b**5 + 1/4 - 2*b**n.
(b - 1)*(b + 1)**3*(4*b - 1)/4
Let g = 24993 - 24991. Suppose 4*k - 16/7 - 6/7*k**g = 0. What is k?
2/3, 4
Determine j so that 270*j**2 + 45 + 525*j + 172 + 43 + 5*j**3 = 0.
-52, -1
Let q(g) be the first derivative of g**8/896 - g**7/280 + g**6/320 + 2*g**2 - 10. Let k(c) be the second derivative of q(c). What is s in k(s) = 0?
0, 1
Let w be (4 + 0)/((-37)/(3293/(-30))). Let r = w - 56/5. Factor r*c**2 + 0*c**3 - 1/3*c + 0 - 2/3*c**4 + 1/3*c**5.
c*(c - 1)**3*(c + 1)/3
Factor 18/5*w + 0 + 4*w**2 + 2/5*w**3.
2*w*(w + 1)*(w + 9)/5
Find r, given that 0 - 14/9*r + 2/9*r**2 = 0.
0, 7
Let h(x) = -x**2 - 8*x + 4. Let z be h(-8). Suppose -z*c - c = -10. Factor -b**c + 17*b + b**4 - 6*b**4 + 4*b**3 + 2*b**5 - 17*b.
b**2*(b - 1)**2*(2*b - 1)
Suppose 148*o - 156*o = 0. Factor 3/2*y**2 + 0*y + o.
3*y**2/2
Let s = -93753/17 - -5515. Let s*o**2 + 0 + 2/17*o = 0. Calculate o.
-1, 0
Let z(a) = 1 - 1 + 2*a - 1 + 2*a**2. Let h(s) = -3*s**2. Let d(u) = -3*h(u) - 3*z(u). Factor d(j).
3*(j - 1)**2
Find j, given that -2*j**2 + 5/2 - 3*j - 1/2*j**4 + 3*j**3 = 0.
-1, 1, 5
Let m = 6 + -4. Let q(v) = -1913 - v**2 + 0*v**2 + 954 + 956 - 4*v. Let u(b) = b + 1. Let p(s) = m*u(s) + q(s). Determine c so that p(c) = 0.
-1
Let s = -119 + 128. Solve 4*f**4 + 0*f**2 - 2 + 4*f**2 + s*f**4 - 15*f**4 = 0 for f.
-1, 1
Solve 2/7 - 10/7*b + 8/7*b**2 = 0.
1/4, 1
Let d(j) be the first derivative of j**6/9 - j**4/2 + 4*j**3/9 - 597. Find x such that d(x) = 0.
-2, 0, 1
Let z(y) be the second derivative of -y**6/210 + 47*y**5/140 - 475*y**4/84 - 625*y**3/14 + 2*y - 18. Suppose z(d) = 0. What is d?
-3, 0, 25
Let i(o) be the first derivative of -26*o**3/15 - 28*o**2/5 - 8*o/5 - 26. Suppose i(f) = 0. What is f?
-2, -2/13
Let p(q) be the second derivative of -q**5/20 - 3*q**4/8 - q**3 - 8*q**2 - 8*q. Let l(v) be the first derivative of p(v). Factor l(n).
-3*(n + 1)*(n + 2)
Let v = 3963 + -19813/5. Factor -2/5*x**3 + v*x**2 + 2/5*x - 2/5.
-2*(x - 1)**2*(x + 1)/5
Factor -145*i**2 + 633*i**4 + 15*i**4 + 181*i**5 + 75*i**5 + 163*i**2 - 40*i**4 + 201*i**3.
i**2*(i + 2)*(16*i + 3)**2
Determine b, given that -49*b + 15*b**2 + 49 + 64*b + 48*b + b**3 = 0.
-7, -1
Factor 8/7*a**4 + 0*a + 0 - 2/7*a**5 - 6/7*a**3 + 0*a**2.
-2*a**3*(a - 3)*(a - 1)/7
Factor -75*i**2 - 10*i - 318*i**3 - 22*i**4 + 223*i**3 - 8*i**4.
-5*i*(i + 1)*(i + 2)*(6*i + 1)
Find z, given that 2/5*z**2 + 0 - 214/5*z = 0.
0, 107
Let f(o) = -o**2 - 4*o + 119. Let s be f(-13). Let g(p) be the first derivative of -1 + 0*p - 1/6*p**4 - 8/27*p**3 + 0*p**s + 2/45*p**5. Factor g(k).
2*k**2*(k - 4)*(k + 1)/9
Let u(r) = -r**3 - 2*r**2 - 2*r + 10. Let p be u(-4). Suppose -49*k + p*k = 0. Factor 1/7*j + 0*j**4 - 2/7*j**3 + k*j**2 + 1/7*j**5 + 0.
j*(j - 1)**2*(j + 1)**2/7
Determine i, given that -652/3*i - 432*i**2 - 536/3*i**3 + 80*i**4 + 12*i**5 - 32 = 0.
-8, -1, -1/3, 3
Let z be (301/(-14) - -19)/(6/16 - 1). Let z + 1/3*t**3 + 16/3*t + 7/3*t**2 = 0. What is t?
-3, -2
Suppose -25 = -5*m - 2*n, 2*m - m = 3*n - 12. Solve -87 - m*u + 45 + 48 - 3*u**2 = 0.
-2, 1
Suppose o = 0, 0*z + 15 = 5*z + 2*o. Suppose 0 = d - 5*b + 6, -2*b + 10 = 3*b. Find w such that 2*w**3 - 95*w**2 - d*w**z + 89*w**2 - 4*w = 0.
-2, -1, 0
Let i = 3960 + -3957. Factor 0 + 0*u + 2/11*u**i + 4/11*u**2.
2*u**2*(u + 2)/11
Factor 4*l**2 - 8/7*l + 2/7*l**3 - 16.
2*(l - 2)*(l + 2)*(l + 14)/7
Suppose -2*h = 4*s - 18, -3*h - 7 = -3*s + 2*h. Let f(x) be the first derivative of -x**2 + 0*x - 5 + 0*x**3 + 1/2*x**s. Solve f(u) = 0.
-1, 0, 1
Let y(k) = 4*k**4 - 11*k**3 - 87*k**2 + 91*k + 157. Let h(s) = 4*s**4 - 12*s**3 - 88*s**2 + 92*s + 156. Let r(m) = 3*h(m) - 4*y(m). Find t, given that r(t) = 0.
-4, -1, 2, 5
Let n(a) be the first derivative of -3*a**3 - 3/2*a**4 + 12*a**2 - 1 - 12*a + 3/5*a**5. Determine r, given that n(r) = 0.
-2, 1, 2
Let a be 484/(-44) + 58/5. Factor 3/5 + a*d**2 + 6/5*d.
3*(d + 1)**2/5
Let z(u) = -u**3 + 18*u**2 - 2*u + 42. Let a be z(18). Suppose -a*x**2 - x + x + x**3 + 9*x = 0. What is x?
0, 3
Let i(w) be the first derivative of 4 - 1/36*w**6 + 1/30*w**5 + 0*w**2 - 1/18*w**3 + 0*w + 1/24*w**4. Solve i(g) = 0.
-1, 0, 1
Factor l**4 - 14*l**2 - 3*l**4 - 84*l + 13 - 15 - 24*l**3 - 30 - 60*l**2.
-2*(l + 1)**2*(l + 2)*(l + 8)
Suppose -35*g**2 - 36*g**2 + 17*g - 14*g**2 + 11*g**2 - 13*g = 0. Calculate g.
0, 2/37
Let l = -50 - -74. Factor -4 + 9*a**4 - 2*a**3 + 6*a**2 - l*a**4 + 2*a + 13*a**4.
-2*(a - 1)**2*(a + 1)*(a + 2)
Let h(t) = 1. Let d(s) = -4*s - 1. Let n(r) = d(r) + 4*h(r). Let x be n(0). Determine z so that 2/11*z**4 + 0*z**2 - 2/11 + 4/11*z - 4/11*z**x = 0.
-1, 1
Let t be -7 - ((-5)/20 - 8). Solve -t*k**2 + 15/2*k + 35/4 = 0 for k.
-1, 7
Let d(m) be the third derivative of -m**7/210 - m**6/15 - 23*m**5/60 - 7*m**4/6 - 2*m**3 + m**2 + 179. Fact