) = -30*y**3 + 111*y**2 - 111*y + 51. Let f be (-2)/(-10) - 18/(-10). Let g(c) = 3*c**3 - 11*c**2 + 11*c - 5. Let p(z) = f*k(z) + 21*g(z). Factor p(j).
3*(j - 1)**3
Let o(a) be the second derivative of 0 - 1/2*a**2 + 1/5*a**5 + 1/15*a**6 + 2*a + 1/6*a**3 + 1/4*a**4. Let s(z) be the first derivative of o(z). Factor s(t).
(2*t + 1)**3
Let u(f) be the second derivative of 0*f**2 - 2/15*f**6 + 0*f**3 - 1/6*f**4 - 3/10*f**5 - 3*f + 0. Let u(w) = 0. Calculate w.
-1, -1/2, 0
Suppose 0*h = 5*h - 25. Let f(k) = 2*k**2 - 8*k. Let b(l) be the third derivative of l**5/30 - 3*l**4/8 - l**2. Let s(a) = h*f(a) - 4*b(a). Factor s(n).
2*n*(n - 2)
Let o(b) be the first derivative of -2*b**3/3 + 4*b**2 - 6*b + 3. What is c in o(c) = 0?
1, 3
Let r(a) be the second derivative of -a**5/10 - 13*a**4/21 - 13*a**3/21 + 6*a**2/7 + 39*a. Factor r(t).
-2*(t + 1)*(t + 3)*(7*t - 2)/7
Let u(y) be the third derivative of -4*y**2 + 0*y - 4/9*y**3 - 1/45*y**5 + 0 + 1/6*y**4. Factor u(n).
-4*(n - 2)*(n - 1)/3
Let m = 10 - 7. Let v(o) be the second derivative of 0*o**2 - o + 0 - 1/36*o**4 - 1/18*o**m. Let v(i) = 0. What is i?
-1, 0
Factor -j**3 + 4*j**2 + 2*j - j - 2*j**2 - 2*j.
-j*(j - 1)**2
Let w(g) be the first derivative of g**3/4 + 15*g**2/4 + 75*g/4 + 10. Solve w(b) = 0 for b.
-5
Factor -10*s**2 + 5*s + 0*s**3 + 3*s**3 - 3*s**3 + 5*s**3.
5*s*(s - 1)**2
Let w be (-2 + 4)/((-4)/(-6)). Let d be -3*(2 + 0 - w). Factor -2*h**4 - d*h**4 - 2*h + 4*h**2 + h**4 + 2*h**5.
2*h*(h - 1)**3*(h + 1)
Let q be (-4)/22 + 1/(22/48). Let u(x) be the first derivative of -1/3*x**q + 0*x + 2 + 2/9*x**3. Solve u(m) = 0 for m.
0, 1
Let p(q) = -5*q**5 - 55*q**4 - 95*q**3 - 75*q**2 - 25*q. Let l(g) = -8*g**5 - 82*g**4 - 142*g**3 - 112*g**2 - 37*g. Let j(r) = 5*l(r) - 7*p(r). Factor j(z).
-5*z*(z + 1)**3*(z + 2)
Let t(w) = -2*w + 4. Let g be t(4). Let j = 6 + g. Solve 4 + 4*x**2 - 4*x**2 - 4*x + x**j = 0.
2
Suppose 12 = -22*o + 26*o + a, -5*o + a = -6. Factor -m**o + 0 + 1/2*m.
-m*(2*m - 1)/2
Let a(c) be the second derivative of -c**5/210 + c**3/63 + 8*c. Factor a(p).
-2*p*(p - 1)*(p + 1)/21
Let j(m) be the third derivative of m**9/7560 - m**8/1680 + m**7/1260 + 3*m**4/8 + 7*m**2. Let t(k) be the second derivative of j(k). Factor t(g).
2*g**2*(g - 1)**2
Let f(d) = d**3 - 14*d**2 + 13*d + 3. Let s be f(13). Let a(q) be the second derivative of -q - 1/10*q**2 + 0 + 1/100*q**5 + 1/10*q**s - 1/20*q**4. Factor a(k).
(k - 1)**3/5
Let r be 1 + (1/(-1)*1 - 0). Let m(k) be the second derivative of 1/20*k**5 + 0*k**4 + r + 0*k**3 + 0*k**2 - 2*k - 1/30*k**6. Suppose m(u) = 0. What is u?
0, 1
Let o(z) be the first derivative of 3 - z + 2/21*z**3 + 1/7*z**2 + 1/42*z**4. Let a(v) be the first derivative of o(v). Factor a(k).
2*(k + 1)**2/7
Let r(c) be the third derivative of c**9/60480 - c**8/20160 - c**7/5040 + c**6/720 + c**5/20 + 2*c**2. Let j(h) be the third derivative of r(h). Factor j(d).
(d - 1)**2*(d + 1)
Let w = 1162 + -1158. Factor -1/2*t**w - 2*t**3 - 5/2*t**2 - t + 0.
-t*(t + 1)**2*(t + 2)/2
Let a(n) be the first derivative of -n**6/15 + n**4/10 - 8. Solve a(u) = 0.
-1, 0, 1
Let f = -26/369 + 12/41. Let 0*q + 2/9*q**4 - 2/9*q**3 - f*q**2 + 0 + 2/9*q**5 = 0. Calculate q.
-1, 0, 1
Suppose -3*z + 4 + 23 = 0. Let h be 4/(-6)*z/(-2). Factor 10*p + 3 - h - 6*p**2 + 4.
-2*(p - 2)*(3*p + 1)
Let w(q) be the third derivative of 0*q**4 + 1/630*q**7 + 0 - 1/180*q**5 + 0*q + 0*q**3 - 4*q**2 + 0*q**6. Let w(b) = 0. What is b?
-1, 0, 1
Let v(r) be the second derivative of -1/5*r**4 - 28/15*r**3 + 0 + 11/10*r**5 + 8/5*r**2 - 2*r + 1/3*r**6. Determine j, given that v(j) = 0.
-2, -1, 2/5
Let r(n) be the second derivative of -n**6/90 + n**5/30 + 11*n**4/36 - 2*n**3/3 - 6*n**2 - 11*n. Factor r(s).
-(s - 3)**2*(s + 2)**2/3
Factor 0 + 2/9*r**3 - 2/9*r + 0*r**2.
2*r*(r - 1)*(r + 1)/9
Suppose -1/3*q - 4/3*q**4 - 3*q**2 - 11/3*q**3 + 1/3 = 0. What is q?
-1, 1/4
Factor 24*m + 4 - 11*m**2 + 15*m**2 + 22 - 6.
4*(m + 1)*(m + 5)
Let q(m) be the third derivative of m**8/40320 - m**7/10080 - m**6/720 - m**5/30 - 2*m**2. Let a(p) be the third derivative of q(p). Factor a(v).
(v - 2)*(v + 1)/2
Let f(n) = n**2 - 16*n + 30. Let q be f(14). Factor 20/3*a**2 + 56/9*a + 16/9 + q*a**3.
2*(a + 2)*(3*a + 2)**2/9
Let m be (-36)/(-14) - 36/(-84). Determine x, given that -7*x**3 - 5*x**m + 0*x**5 - 16*x + 8*x**4 + 4*x**5 - 32*x**2 = 0.
-2, -1, 0, 2
Let x be ((-85)/30 - -4)/(2/4). Factor -1/3*a**4 + 5/3*a**3 - 2/3 + x*a - 3*a**2.
-(a - 2)*(a - 1)**3/3
Let a(w) be the first derivative of -w**7/735 - w**6/420 + w**5/105 + 3*w**2 + 2. Let c(s) be the second derivative of a(s). Factor c(y).
-2*y**2*(y - 1)*(y + 2)/7
Let p = 1/20 - -37/60. Find l, given that l**2 - p + 1/3*l = 0.
-1, 2/3
Let p = 729 + -725. Factor -6/5*q + 0*q**3 + 0 - 3/5*q**p + 9/5*q**2.
-3*q*(q - 1)**2*(q + 2)/5
Let i(c) be the third derivative of -2*c**7/525 + c**5/100 - c**4/120 + 5*c**2. Factor i(k).
-k*(k + 1)*(2*k - 1)**2/5
Let d(k) = -2*k**3 - 7*k**2 - 6*k + 5. Let q(m) = m**3 + m**2 + m - 1. Let z = -10 - -5. Let c(t) = z*q(t) - d(t). Factor c(y).
-y*(y - 1)*(3*y + 1)
Let m = 43/102 + -3/34. Determine u, given that -7/3*u**3 - m*u**4 - 20/3*u - 6*u**2 - 8/3 = 0.
-2, -1
Let w be (-2 - -2)*-1 + -10. Let f = -8 - w. Find g, given that 0 + 1/3*g**f + 0*g = 0.
0
Let n be (-3)/(-1) + ((-63)/12)/3. Let a be ((-2)/(-20))/((-4)/(-10)). Let a*o + n*o**2 + 0 + 7/4*o**3 + 3/4*o**4 = 0. Calculate o.
-1, -1/3, 0
Let r(y) be the first derivative of 8*y**5/65 - y**4/26 - 13. Let r(x) = 0. Calculate x.
0, 1/4
Suppose 3*f + y - 11 = 2*y, 4*y = -4*f + 36. Let d = f + -2. Determine z, given that 12*z**2 - z + 20*z**4 + 3*z + 18*z**d + 6*z**3 + 6*z**5 = 0.
-1, -1/3, 0
Let g(n) be the third derivative of -n**8/1680 + n**7/840 + n**6/80 + n**5/60 + 7*n**4/24 - 2*n**2. Let s(b) be the second derivative of g(b). Solve s(r) = 0.
-1, -1/4, 2
Let g(r) be the first derivative of -3*r**5/5 - 3*r**4/2 + r**3 + 3*r**2 - 3. Find b, given that g(b) = 0.
-2, -1, 0, 1
Let v be (3/(-36))/((-7)/28). Let o(d) be the second derivative of -1/3*d**4 - v*d**3 + 0*d**2 + 0 - 2*d - 1/10*d**5. Find t such that o(t) = 0.
-1, 0
Let m = -2291/3 + 764. Let 0 + 1/3*y**2 - 1/3*y**4 + 1/3*y**3 - m*y = 0. What is y?
-1, 0, 1
Let p be (54/(-9))/(-12) + 2/(-4). Let t(l) be the third derivative of 2*l**2 + 0*l - 1/480*l**6 + p*l**4 + 0 + 0*l**5 + 1/840*l**7 + 0*l**3. Factor t(k).
k**3*(k - 1)/4
Let t = 33 - 31. Let m(z) be the second derivative of 2/27*z**3 - 1/54*z**4 + 2*z + 0 - 1/9*z**t. Suppose m(p) = 0. Calculate p.
1
Let m be 10/3 - (-1)/(-3). What is x in 6*x**m + 6*x**2 + 0*x - 9/2*x**4 + 0 = 0?
-2/3, 0, 2
Let g(t) = t**3 + t**2 + t - 1. Let v(q) = 5*q**4 - 2*q**3 - 12*q**2 + 8*q + 7. Let n(p) = -3*g(p) + v(p). Factor n(b).
5*(b - 2)*(b - 1)*(b + 1)**2
Let 1/2*o**4 + 1/2*o**3 - 1/2*o**2 + 0*o + 0 - 1/2*o**5 = 0. Calculate o.
-1, 0, 1
Let x(y) be the second derivative of y**5/90 - y**4/54 - y**3/27 + y**2/9 - 12*y. Factor x(q).
2*(q - 1)**2*(q + 1)/9
Let v(y) = 7*y - 10. Let x be v(7). Let j = x + -193/5. Solve j - 6/5*f - 8/5*f**2 = 0 for f.
-1, 1/4
Let v(s) be the first derivative of -s**4 + 10*s**3/3 - 4*s**2 + 2*s + 3. Factor v(b).
-2*(b - 1)**2*(2*b - 1)
Let b(i) be the first derivative of i**3 - 1 - 1/540*i**6 + 0*i**2 + 0*i + 0*i**4 + 1/180*i**5. Let q(m) be the third derivative of b(m). Factor q(z).
-2*z*(z - 1)/3
Suppose -3*w - 2*w - 15 = 0. Let x be (4 + w)/3 + 0. Factor 4/3*f + 2*f**2 + 4/3*f**3 + x + 1/3*f**4.
(f + 1)**4/3
Let f be 8/28*7 + 2/(-4). Let d(y) be the first derivative of -1 - y**2 + 0*y - 8/3*y**3 - f*y**4. Factor d(n).
-2*n*(n + 1)*(3*n + 1)
Let a = 142 - 139. Let y(r) be the second derivative of -1/9*r**2 - a*r + 0 + 0*r**3 + 1/54*r**4. Factor y(v).
2*(v - 1)*(v + 1)/9
Let l(y) be the first derivative of 2*y**3/3 - 3*y**2 - 8*y - 7. Solve l(m) = 0 for m.
-1, 4
Factor -19/2*k**2 + 6*k**3 + 4*k - 1/2.
(k - 1)*(3*k - 1)*(4*k - 1)/2
Let d be (-6 - -2)/((-1)/1). Let -d*q**2 - q + q**3 + 0 + 0 - q**4 + 5*q**2 = 0. Calculate q.
-1, 0, 1
Suppose 3*i = o - 0*i - 12, -3*o + 3*i = -18. Let s be (-2)/o + (-22)/(-6). Factor 0 + 1/3*k - k**2 - 1/3*k**4 + k**s.
-k*(k - 1)**3/3
Let t(g) = 2*g**2 + g + 1. Let r be t(-1). Let n be -1*-2*(r + -1). Solve -2*d**3 - 5*d**n - 2*d**2 + 5*d**2 = 0 for d.
-1, 0
Let j(g