0*s**7 + 1/60*s**6 - 1/24*s**4 - 5*s**2 + 0 - 1/336*s**8 + 0*s**5 + 0*s + 0*s**3. Factor c(w).
-w*(w - 1)**2*(w + 1)**2
Suppose -1 = 3*b - 13. Determine u, given that -28*u**3 - 2*u**4 + 4*u + 6*u**2 - 21*u**3 + 40*u**5 - 4*u**b + 5*u**3 = 0.
-1, -1/4, 0, 2/5, 1
Let v(m) be the first derivative of m**6/80 - 3*m**5/40 + m**4/8 + 3*m**2/2 + 4. Let l(s) be the second derivative of v(s). Suppose l(g) = 0. What is g?
0, 1, 2
Let w(y) be the third derivative of -y**8/1680 + y**6/120 - y**5/60 - y**3/3 - 2*y**2. Let f(b) be the first derivative of w(b). Factor f(n).
-n*(n - 1)**2*(n + 2)
Let n be (-1 - (-9)/7) + 0/3. Find m, given that -4/7*m - 2/7 - n*m**2 = 0.
-1
Let m = -6 + 7. Suppose -3*g - m = -2*u - 7, -2*g = -5*u - 15. Suppose 2/7*n + 2/7*n**2 + g = 0. Calculate n.
-1, 0
Suppose -3*i + 4 = -5. Suppose j + 0*j - i = 0. Factor -15*z**2 - 3*z + 10*z**3 + 0*z + 9*z - z**j.
3*z*(z - 1)*(3*z - 2)
Determine m, given that -4/3*m + 8/3 - 4/3*m**2 = 0.
-2, 1
Let d = 1403/65 + -278/13. What is t in -2/5*t + d + 1/5*t**2 = 0?
1
Let o(n) be the first derivative of -n**7/630 + n**6/180 + n**5/180 - n**4/36 - 2*n**2 + 2. Let h(a) be the second derivative of o(a). Factor h(i).
-i*(i - 2)*(i - 1)*(i + 1)/3
Let f(a) be the third derivative of -a**8/1008 + a**7/630 + a**6/180 + 2*a**2. Factor f(x).
-x**3*(x - 2)*(x + 1)/3
Suppose 0*t + 4/7*t**3 + 0 + 6/7*t**2 - 2/7*t**4 = 0. Calculate t.
-1, 0, 3
Let s = 13 + -7. Let h = 132 - 249/2. Solve 15/2*q**4 - s*q**5 - h*q**2 + 3/2*q + 0 + 9/2*q**3 = 0.
-1, 0, 1/4, 1
Find v, given that -1 + 21*v**3 + 3*v**5 - 12*v + 3*v**2 - 15*v**4 + 13 - 12*v = 0.
-1, 1, 2
Let n(d) be the second derivative of 0 + 1/50*d**5 + 8/15*d**3 + 6*d + 1/6*d**4 + 4/5*d**2. Solve n(o) = 0.
-2, -1
Let o(h) = 0*h + 4 + 2*h**2 + h + h. Let w(y) = 5*y**2 + 5*y + 9. Suppose -14*x = -16*x + 18. Let u(m) = x*o(m) - 4*w(m). Factor u(d).
-2*d*(d + 1)
Suppose 12*a + 4 = -4*v + 8*a, -2*a = -2*v + 18. Factor -1/5*i - 3/5*i**2 - 3/5*i**3 - 1/5*i**v + 0.
-i*(i + 1)**3/5
Let l(w) = -w**4 - w**2 + 1. Let a(n) = 3*n**4 - 6*n**3 - n**2 + 2. Let u(m) = 2*a(m) - 4*l(m). Factor u(y).
2*y**2*(y - 1)*(5*y - 1)
Let s = 5/18 - -11/90. Let x(h) be the first derivative of -s*h**5 + 2/3*h**3 - 1/6*h**6 + 1/2*h**2 + 1 + 0*h + 0*h**4. Let x(c) = 0. What is c?
-1, 0, 1
Let w(a) be the second derivative of -a**9/98280 + a**8/14560 - a**7/5460 + a**6/4680 - a**4/2 + 3*a. Let m(r) be the third derivative of w(r). Factor m(z).
-2*z*(z - 1)**3/13
Let r(m) be the second derivative of -1/40*m**5 + 3*m + 1/48*m**4 + 1/120*m**6 + 0*m**2 + 0 + 0*m**3. Factor r(t).
t**2*(t - 1)**2/4
Let i(m) be the first derivative of -m**3/7 - m**2/14 + 2*m/7 - 21. Factor i(t).
-(t + 1)*(3*t - 2)/7
Let g be ((-23)/(-21))/((-5)/6). Let w = g - -12/7. Let 4/5 + w*x**2 - 6/5*x = 0. Calculate x.
1, 2
Let u(d) = 7*d**2 + 2*d + 2. Suppose 0 = 3*r - 0*r - 15. Let n(s) = -7 + 3 + r. Let m(h) = 2*n(h) - u(h). Factor m(j).
-j*(7*j + 2)
Let i(z) = z**3 + z + 1. Let q(o) = o**3 - 4*o**2 - 11*o - 3. Let r(s) = -3*i(s) - q(s). Let r(v) = 0. Calculate v.
-1, 0, 2
Suppose 0 = -3*c - 60. Let g = 182/9 + c. Factor -g*j + 0 + 2/9*j**2.
2*j*(j - 1)/9
Let f be (-6)/4*(-8)/3. Let p(d) be the third derivative of 0*d**f + 0*d**3 - 2*d**2 + 0*d + 0 - 1/60*d**5. Factor p(y).
-y**2
Let c(m) be the first derivative of -8*m**6/45 + 4*m**5/5 - 3*m**4/2 - 4*m**3/3 - 7. Let b(g) be the third derivative of c(g). Factor b(o).
-4*(4*o - 3)**2
Let g = -11 + 15. Let f be (-2)/g*(3 - 3). What is q in -1/4*q + 1/4*q**5 - 1/2*q**2 + 1/2*q**4 + 0*q**3 + f = 0?
-1, 0, 1
Let w = 32/13 - 307/130. Let l(b) be the second derivative of w*b**5 + 1/3*b**4 + 1/3*b**3 + 0*b**2 + 2*b + 0. Find u such that l(u) = 0.
-1, 0
Let x be 6*1*(-2)/(-3). Let q(p) be the third derivative of 0*p + 0 - 1/6*p**6 - 4/9*p**3 - 1/35*p**7 - 37/90*p**5 - 5/9*p**x + 4*p**2. Solve q(j) = 0 for j.
-1, -2/3
Let m(q) = -7*q**2 + 4*q + 6. Let y(f) = -15*f**2 + 9*f + 13. Let h(s) = -13*m(s) + 6*y(s). Find z such that h(z) = 0.
-2, 0
Let k be (11/11)/(1/5). Suppose 0 = 4*f + k - 13. Factor -1/2 - 3/2*b**f + 2*b.
-(b - 1)*(3*b - 1)/2
What is i in 0 + 9/5*i - 48/5*i**4 + 78/5*i**3 + 9/5*i**5 - 48/5*i**2 = 0?
0, 1/3, 1, 3
Factor 5/2*u**3 + 2*u - 8*u**2 + 0 + 7/2*u**4.
u*(u - 1)*(u + 2)*(7*u - 2)/2
Suppose 5*j - 14*j + 36 = 0. Let p(k) be the third derivative of j*k**2 - 1/120*k**6 + 0 - 1/8*k**4 + 1/20*k**5 + 1/6*k**3 + 0*k. Let p(q) = 0. Calculate q.
1
Let j = 24 + -17. Let z(v) be the second derivative of 1/20*v**5 - 1/4*v**2 - 1/12*v**4 - 1/4*v**3 + 1/20*v**6 - 2*v + 1/84*v**j + 0. Factor z(m).
(m - 1)*(m + 1)**4/2
Let p(r) be the third derivative of 1/3*r**3 + 0*r + 0 + 3*r**2 - 1/60*r**5 - 1/720*r**6 - 1/12*r**4. Let l(k) be the first derivative of p(k). Factor l(i).
-(i + 2)**2/2
Let k(m) be the second derivative of -4*m + 0 - 1/18*m**5 + 1/18*m**4 + 1/9*m**2 + 5/27*m**3 - 4/135*m**6. Determine z so that k(z) = 0.
-1, -1/4, 1
Let o(q) be the first derivative of 3*q**4/28 + q**3/7 - 3*q**2/14 - 3*q/7 + 11. Suppose o(v) = 0. Calculate v.
-1, 1
Let j(u) be the third derivative of 0 - 1/75*u**5 + 11*u**2 + 0*u + 0*u**3 + 0*u**4. Factor j(c).
-4*c**2/5
Let a(h) = 7*h**3 + 10*h**2 + 45*h + 39. Let q(y) = 12*y**3 + 21*y**2 + 91*y + 77. Let g(d) = 5*a(d) - 3*q(d). Let g(c) = 0. What is c?
-6, -1
Let z = 1445/2 + -722. Factor -7/4*x**3 - 3/4*x + 3*x**2 - z.
-(x - 1)**2*(7*x + 2)/4
Let x(p) be the first derivative of -2*p - 2 + p**2 + 2/3*p**3 - 1/2*p**4. Let x(y) = 0. Calculate y.
-1, 1
Let l(h) = -h**2 + 36*h. Let p be l(0). Let p - 4/9*v - 14/3*v**3 - 34/9*v**4 - 10/9*v**5 - 22/9*v**2 = 0. Calculate v.
-1, -2/5, 0
Suppose 5*h = -8*h + h. Factor 0*f**2 + h*f + 2/3*f**3 + 2/3*f**5 + 0 - 4/3*f**4.
2*f**3*(f - 1)**2/3
Let y(m) = 3*m**2 + 8*m - 8. Let u(t) = -2*t**2 - 8*t + 8. Let h(f) = 5*u(f) + 4*y(f). Determine o so that h(o) = 0.
2
Let s = 622/67 + 10/201. Let -2/3*v**5 - s*v**3 - 32/3*v**2 - 6*v - 4*v**4 - 4/3 = 0. Calculate v.
-2, -1
Let y(d) be the first derivative of d**4/12 - 4*d**3/27 - 17*d**2/18 + 2*d/3 - 9. Let y(z) = 0. Calculate z.
-2, 1/3, 3
Suppose -4*s - s + 20 = 0. Suppose 0*b**4 + 4 - s + 4*b**3 + b**4 + 4*b**2 = 0. What is b?
-2, 0
Let v(f) be the first derivative of -f**3/8 + 9. Factor v(r).
-3*r**2/8
Let w(a) be the third derivative of -a**10/302400 + a**8/40320 + a**5/20 - 2*a**2. Let i(s) be the third derivative of w(s). Factor i(g).
-g**2*(g - 1)*(g + 1)/2
Let g be 13/3 - (-3)/(-9). Let x(i) be the first derivative of 1 + 0*i**2 + 0*i**3 - 2/25*i**5 - 1/10*i**g + 0*i. Determine d so that x(d) = 0.
-1, 0
Let a(i) = -i - 5. Suppose 2*k + k = -21. Let x be a(k). Factor 2/11*w**4 + 6/11*w**x + 2/11*w + 0 + 6/11*w**3.
2*w*(w + 1)**3/11
Let o = -3/22 - -147/110. Factor 0 - 3/5*b**3 + 0*b + o*b**2.
-3*b**2*(b - 2)/5
Let z = 130 + -130. Let 3/4*d**4 - 3/4*d**3 + 3/4*d**5 + 0 + z*d - 3/4*d**2 = 0. What is d?
-1, 0, 1
Let z(y) be the third derivative of -1/245*y**7 + 0*y**3 + 1/1176*y**8 + 0*y + 0*y**4 + 2/105*y**5 + y**2 + 0*y**6 + 0. Factor z(h).
2*h**2*(h - 2)**2*(h + 1)/7
Let v(t) be the first derivative of -1/36*t**4 + 0*t**3 - 1/20*t**6 - t**2 + 1/15*t**5 - 3 + 0*t. Let l(g) be the second derivative of v(g). Factor l(z).
-2*z*(3*z - 1)**2/3
Determine y, given that 0 - 7/3*y**4 + 0*y + 2/3*y**2 - 5/3*y**3 = 0.
-1, 0, 2/7
Factor 2*k**2 + 1/3*k**3 + 0 + 3*k.
k*(k + 3)**2/3
Let k(j) be the second derivative of -j**4/6 + 2*j**3/3 - 7*j. What is i in k(i) = 0?
0, 2
Suppose 8*y = -25 + 41. Suppose 1/5*c**y + 0*c + 0 = 0. What is c?
0
Let s(l) be the second derivative of -3*l**6/40 + 3*l**5/80 + l**4/6 - l**3/6 + 2*l. Determine h so that s(h) = 0.
-1, 0, 2/3
Let i(n) be the first derivative of -2*n**5/5 + n**4/2 + 4*n**3/3 + 2. Factor i(h).
-2*h**2*(h - 2)*(h + 1)
Let p(l) be the third derivative of -l**6/120 - l**5/20 - l**4/8 - 2*l**3/3 + 4*l**2. Let a(g) be the first derivative of p(g). Factor a(x).
-3*(x + 1)**2
Let t(s) be the third derivative of s**7/70 + s**6/40 - 18*s**2. Factor t(j).
3*j**3*(j + 1)
Suppose -4*p = 4*m - 8, -m - p - p = -2. Suppose -m*k - 2*c = 0, -4*k - c = -4*c. Factor 1/4*z**4 + 1/2*z**3 + 0*z + k + 1/4*z**2.
z**2*(z + 1)**2/4
Let r be ((-16)/10)/1*350/(-140). Solve 1/3*u - 1/3*u**r + 0 + u**3 - u**2 = 0.
0, 1
Let u be (3/2)/(21/12 - 1). Deter