(c - 3)*(c - 1)**2*(c + 1)**2
Let l(y) be the first derivative of -y**7/147 - 4*y**6/105 - 3*y**5/35 - 2*y**4/21 - y**3/21 - 3*y - 4. Let m(g) be the first derivative of l(g). Factor m(t).
-2*t*(t + 1)**4/7
Let b = 22 + -19. Factor 2/11 + 2/11*p - 2/11*p**2 - 2/11*p**b.
-2*(p - 1)*(p + 1)**2/11
Let c = -32 - -32. Determine p so that 1/2*p**2 + 1/2*p + c = 0.
-1, 0
Let q(d) = 20*d**5 + 5*d**3 + 15*d**2 - 10*d. Let j(k) = -k**5 - k**3 - k**2 + k. Let v(f) = 15*j(f) + q(f). Factor v(s).
5*s*(s - 1)**2*(s + 1)**2
Factor -7*c + 1 + 49/4*c**2.
(7*c - 2)**2/4
Let g = -8/5 - -101/60. Let l(i) be the first derivative of 0*i + 0*i**4 - 1/5*i**5 + 1/3*i**3 - g*i**6 - 2 + 1/4*i**2. Factor l(y).
-y*(y - 1)*(y + 1)**3/2
Factor 16*s**2 - 1 + 173*s**2 + 4 + 45*s + 147*s**3.
3*(s + 1)*(7*s + 1)**2
Let m(c) = 12*c**3 - 10*c + 2 - 6 - 25*c**3 - 14*c**2 + 7*c**3. Let g(l) = -l**4 + 11*l**3 + 29*l**2 + 21*l + 9. Let x(t) = -2*g(t) - 5*m(t). Factor x(s).
2*(s + 1)**4
Let c(u) = -2*u**4 + u**3 - 2*u**2 - 3. Let r(w) = -7*w**4 + 3*w**3 - 7*w**2 - 11. Let q(k) = -22*c(k) + 6*r(k). Factor q(z).
2*z**2*(z - 1)**2
Let r(a) = -a**3 - 6*a**2 - 3*a + 2. Let h(y) = y**3 + 7*y**2 + 4*y - 2. Let u(b) = 4*h(b) + 5*r(b). Solve u(x) = 0.
-2, -1, 1
Suppose 4/3*t**4 + 5/3*t**5 - 2*t**3 - 4/3*t**2 + 0 + 1/3*t = 0. What is t?
-1, 0, 1/5, 1
Let i(u) be the second derivative of 0*u**3 + 0 - 1/20*u**5 + 0*u**2 - 2*u - 1/12*u**4. Factor i(g).
-g**2*(g + 1)
Let y(u) be the first derivative of -2/3*u**3 + 0*u + 2/5*u**5 + 0*u**4 + 0*u**2 + 10. Factor y(q).
2*q**2*(q - 1)*(q + 1)
Let j(s) be the second derivative of s**4/4 - 3*s**3/2 + s. What is i in j(i) = 0?
0, 3
Suppose -2*f = 2*m - 26, 4*f - 12 = 4*m - 0*m. Factor -f*a**4 + 3*a**3 - 2*a**5 - 8*a**3 - 3*a**3.
-2*a**3*(a + 2)**2
Let r be 52/(-91) - (-18)/7. Solve 2*g**3 + 2*g**2 + 6*g + r + 0*g**2 + 4*g**2 = 0.
-1
Let j(v) = -v**2 - 2*v - 7. Let s(n) = -n**2 - 3*n - 10. Let o = 11 - 4. Let b = -5 + 0. Let u(h) = b*s(h) + o*j(h). Factor u(a).
-(a - 1)*(2*a + 1)
Factor 2/3*p**2 + 8/3 + 8/3*p.
2*(p + 2)**2/3
Let a be (-4)/(-14) - (-32)/84. Solve a - 2/3*g**2 + 0*g = 0 for g.
-1, 1
Let s be ((-3)/2)/(5/(-10)). Determine x so that 2*x**2 + 0*x**s + x**3 + 0*x**2 - 2*x**4 - x**5 = 0.
-2, -1, 0, 1
Let t(v) be the first derivative of -7*v**5/120 - 5*v**4/48 + v**3/6 - 3*v**2/2 + 3. Let a(q) be the second derivative of t(q). What is z in a(z) = 0?
-1, 2/7
Let j(u) = -u + 3. Let p be j(3). Let -2/7*z**2 + p + 0*z = 0. What is z?
0
Let b(i) = 11*i**5 - 17*i**3 + 5*i**2 + i - 5. Let j(r) = 5*r**5 - 8*r**3 + 2*r**2 + r - 2. Let c = 0 - -5. Let p(n) = c*j(n) - 2*b(n). Solve p(t) = 0 for t.
-1, 0, 1
Let b(f) = f + 13. Let a be b(-10). Let h(m) be the second derivative of 1/12*m**4 + a*m + 0 + 2*m**2 - 2/3*m**3. Factor h(t).
(t - 2)**2
Let w(j) be the third derivative of -j**8/20160 + j**7/3780 - j**4/12 - 2*j**2. Let h(u) be the second derivative of w(u). What is o in h(o) = 0?
0, 2
Let b = 48 - 47. Let r(z) be the first derivative of 1/4*z**2 - 1/12*z**3 + 0*z + b. Let r(u) = 0. Calculate u.
0, 2
Factor 1/2*c**2 - 1/2 + 0*c.
(c - 1)*(c + 1)/2
Let q(p) be the third derivative of 0*p + 2/3*p**3 - 6*p**2 + 1/4*p**4 + 0 - 1/6*p**5. Factor q(c).
-2*(c - 1)*(5*c + 2)
Let j(u) be the third derivative of -10*u**8/189 + 8*u**7/45 - 17*u**6/108 - 8*u**5/135 + 5*u**4/36 - 2*u**3/27 - 4*u**2. Let j(w) = 0. What is w?
-2/5, 1/4, 1
Let -25/2*t**4 - 16 - 92*t - 162*t**2 - 85*t**3 = 0. What is t?
-4, -2, -2/5
Suppose 5*x - 2*l + 6 = 37, l - 17 = -4*x. Let c(a) be the second derivative of 0*a**2 + 0 - 1/8*a**4 - 1/60*a**6 - 2*a - 1/12*a**3 - 3/40*a**x. Factor c(y).
-y*(y + 1)**3/2
Let q(a) be the second derivative of -2*a**6/105 - 3*a**5/35 - 2*a**4/21 + 10*a. Let q(s) = 0. What is s?
-2, -1, 0
Let s(h) be the first derivative of -5*h**6/6 - 3*h**5 + 15*h**4/4 + 55*h**3/3 + 15*h**2 + 32. Find a, given that s(a) = 0.
-3, -1, 0, 2
Let t(w) = -w**2 - 6*w. Let z be t(-6). Let -1/2*k**2 + z + 1/2*k = 0. Calculate k.
0, 1
Let p = 2 - -4. Let z be (2 - p) + 6*1. Determine a, given that 1/3 + 1/3*a**z - 2/3*a = 0.
1
Let j(n) be the first derivative of -n**8/84 - n**7/21 - n**6/15 - n**5/30 + n**2 + 4. Let a(o) be the second derivative of j(o). Factor a(d).
-2*d**2*(d + 1)**2*(2*d + 1)
Let j(h) be the second derivative of -h**4/6 - 8*h**3/11 - 4*h**2/11 - 6*h. Find z, given that j(z) = 0.
-2, -2/11
Let g(o) be the first derivative of 4*o**5/5 + 9*o**4/2 + 6*o**3 - o**2 - 6*o - 34. Find f such that g(f) = 0.
-3, -1, 1/2
Let j(f) = -7*f**3 - 10*f**2 + 9*f + 8. Let b(g) = -g**3 - g**2 + g + 1. Suppose v + 4 = 1. Let d(y) = v*j(y) + 24*b(y). Determine t so that d(t) = 0.
0, 1
Let u = -287 - -290. Determine k, given that 1/5*k**4 + 1/5*k**5 + 1/5 + 1/5*k - 2/5*k**u - 2/5*k**2 = 0.
-1, 1
Let t = 15 + -7. Let q be t/30 + 10/25. Factor -10/3*r - 4/3 - 2*r**2 + 2/3*r**4 + q*r**3.
2*(r - 2)*(r + 1)**3/3
Let b = -17 + 19. Let l(v) be the first derivative of 0*v**3 - 4/15*v**5 + 0*v**2 + b - 1/6*v**4 + 0*v - 1/9*v**6. What is t in l(t) = 0?
-1, 0
Let h(o) be the first derivative of -o**3/7 + 3*o**2/14 + 6*o/7 + 10. Solve h(w) = 0.
-1, 2
Suppose 2*o - 10 = 2*q + 14, -o = 2*q + 18. Let y = 16 + q. Factor 8*k**2 + 28*k**2 - y*k - 8*k**2 + 2*k - 49*k**3.
-k*(7*k - 2)**2
Let g(c) be the first derivative of -c**4/14 - 8*c**3/21 - 3*c**2/7 - 11. Determine u, given that g(u) = 0.
-3, -1, 0
Let v = 1/123 + 79/369. Let b(g) be the first derivative of -2 + 0*g + 1/9*g**3 - 7/15*g**5 + 0*g**2 + v*g**6 + 1/6*g**4. Let b(c) = 0. Calculate c.
-1/4, 0, 1
Let q(m) be the first derivative of m**6/8 + 3*m**5/10 - m**3/2 - 3*m**2/8 + 8. Determine o, given that q(o) = 0.
-1, 0, 1
Let o(j) = -j**3 - 2*j**2 + j - 4. Let c be o(-3). Let l be (-986)/(-2030) + (-2)/7. Factor l*f**c + 4/5 - 4/5*f.
(f - 2)**2/5
Let j(y) be the third derivative of y**8/2352 + y**7/1470 - y**6/210 - y**5/105 + 2*y**2 - 10*y. Let j(m) = 0. Calculate m.
-2, -1, 0, 2
Factor -41*u**4 + 12 + 55*u**2 - 14*u - 28*u**3 - 30*u + 46*u**4.
(u - 2)**2*(u - 1)*(5*u - 3)
Suppose w = -b + 8, -5*b + 0*w - w = -20. Let r(s) = s**3 + 13*s**2 - 15*s - 9. Let g be r(-14). Factor 0 + 0*m**2 + 0*m - m**4 - 1/2*m**b - 1/2*m**g.
-m**3*(m + 1)**2/2
Let p(y) be the second derivative of y**5/30 + 5*y**4/36 + 2*y**3/9 + 2*y**2 + y. Let t(u) be the first derivative of p(u). Factor t(c).
2*(c + 1)*(3*c + 2)/3
Let l = -8 - 11. Let g = -19 - l. Factor 2/7*u**5 + g*u**3 + 0 + 0*u + 2/7*u**4 + 0*u**2.
2*u**4*(u + 1)/7
Factor 0*g + 0 + 0*g**2 + 0*g**3 + 3/2*g**4.
3*g**4/2
Let f(a) be the second derivative of 0*a**4 - 2*a + 0*a**2 + 0*a**5 + 0*a**3 - 1/30*a**6 + 0. Factor f(o).
-o**4
Find r such that 4/5*r**5 + 0*r**2 + 0 + 8/5*r**3 + 0*r - 12/5*r**4 = 0.
0, 1, 2
Let i(m) be the third derivative of 1/36*m**4 + 0 - m**2 - 1/18*m**3 + 0*m - 1/180*m**5. Determine p so that i(p) = 0.
1
Let c = -1 + 6. Let o(j) be the first derivative of -1/16*j**4 + 0*j + 0*j**3 + 1/10*j**c - 1/24*j**6 + 0*j**2 - 3. Factor o(m).
-m**3*(m - 1)**2/4
Let c(i) = i**2 + 11*i - 9. Let u be c(-12). Factor -6 + u*a - a**2 + 4*a**2 + 0*a**2.
3*(a - 1)*(a + 2)
Factor -30 - 5*l**2 + 12 - 17 - 40*l.
-5*(l + 1)*(l + 7)
Solve -96/5 + 18/5*k**2 + 0*k + 3/5*k**3 = 0.
-4, 2
Factor 26/15*y**3 + 8*y - 16/15 - 36/5*y**2.
2*(y - 2)**2*(13*y - 2)/15
Determine r, given that -21/8 + 3/8*r**2 - 9/4*r = 0.
-1, 7
Let g be (-21)/(-28) - 11/20. Let p(d) be the second derivative of 0*d**3 - 4/21*d**7 - 7/15*d**6 + 1/6*d**4 + 0*d**2 - g*d**5 + 0 + 2*d. Solve p(v) = 0 for v.
-1, 0, 1/4
Factor a - 3/4*a**2 + 1 - 1/4*a**4 - a**3.
-(a - 1)*(a + 1)*(a + 2)**2/4
Let h(q) be the first derivative of 0*q**2 + q - 1/15*q**6 + 0*q**4 + 0*q**3 + 1/20*q**5 + 1/42*q**7 + 2. Let w(j) be the first derivative of h(j). Factor w(y).
y**3*(y - 1)**2
Factor 1/6*j**2 - 1/6 + 0*j.
(j - 1)*(j + 1)/6
Suppose 13*x = 10*x + 9. Suppose -n**4 - 1/3 + 2*n - 4*n**2 + 10/3*n**x = 0. Calculate n.
1/3, 1
Suppose 2*s**3 - 2*s - 2/3 + 2/3*s**2 = 0. Calculate s.
-1, -1/3, 1
Let f(q) = q**2 - q + 2. Let l be f(0). Let g(n) be the first derivative of 2/27*n**3 - 1/9*n**l + 0*n - 1. Factor g(c).
2*c*(c - 1)/9
Suppose 0 = -8*i + 26 + 22. Let r(f) be the second derivative of 4*f**2 + 0 + 9/2*f**4 - 2*f - 27/20*f**5 - i*f**3. Factor r(u).
-(3*u - 2)**3
Let s