first derivative of l(q). Factor b(w).
(w + 1)**2/2
Let t(a) be the third derivative of 0*a + 1/6*a**4 + 1/15*a**5 - 2/105*a**7 + 0 - a**2 - 1/30*a**6 + 0*a**3. Factor t(c).
-4*c*(c - 1)*(c + 1)**2
Let h(w) be the third derivative of w**8/36960 - w**7/13860 + 3*w**4/8 + 8*w**2. Let y(c) be the second derivative of h(c). Let y(j) = 0. What is j?
0, 1
Suppose 5*m = 4*m - 3*f - 12, -5*f = 4*m + 20. Factor 2/5*x**2 + 0*x**3 - 6/5*x**4 + m*x + 4/5*x**5 + 0.
2*x**2*(x - 1)**2*(2*x + 1)/5
Let x(b) = -b**2 - 13*b - 37. Let q(j) = 6*j + 18. Let z(y) = -5*q(y) - 2*x(y). Factor z(c).
2*(c - 4)*(c + 2)
Let r(o) be the third derivative of -o**6/24 + o**5/4 + 5*o**4/24 - 5*o**3/2 + 3*o**2. Factor r(u).
-5*(u - 3)*(u - 1)*(u + 1)
Let v(x) be the first derivative of 2/5*x**2 - 1/15*x**3 - 4/5*x - 2. Factor v(c).
-(c - 2)**2/5
Let i(l) be the second derivative of -l**4/42 + l**3/7 - 2*l**2/7 - 17*l. Factor i(q).
-2*(q - 2)*(q - 1)/7
Determine a so that -2/13*a**3 + 0 + 6/13*a + 4/13*a**2 = 0.
-1, 0, 3
Suppose -f = -o - 4*f, 0 = 3*o + 3*f. Solve o*p**2 + 2*p**2 + p**2 + 9 - 12*p = 0 for p.
1, 3
Let t(i) be the third derivative of -i**7/630 + i**6/90 + i**5/36 - 25*i**2. Suppose t(s) = 0. Calculate s.
-1, 0, 5
Let u(j) be the second derivative of -j**7/840 - j**6/240 - j**4/2 - 8*j. Let b(n) be the third derivative of u(n). Factor b(h).
-3*h*(h + 1)
Let w(a) be the first derivative of -1/20*a**4 + 0*a**3 - 1/25*a**5 + 0*a - 6 + 0*a**2. What is o in w(o) = 0?
-1, 0
Let s be (-8)/36 + (-29)/(-120). Let l(h) be the third derivative of -2*h**2 + 1/20*h**5 + s*h**6 + 0 + 1/36*h**4 + 0*h + 0*h**3. Let l(d) = 0. What is d?
-1, -2/7, 0
Let r be ((-2)/3)/((-2)/6). Determine c, given that r*c - 3*c**3 + 3*c**2 - 3*c**5 - c**4 - 8*c**4 + 2*c**4 = 0.
-1, 0, 2/3
Let r be 2/2 + (-3 - 16/(-4)). Factor 0*w**3 + 0 + 0*w - 1/3*w**4 + 1/3*w**r.
-w**2*(w - 1)*(w + 1)/3
Let h(b) = -7*b + 11. Let a be h(6). Let n = -61/2 - a. Factor -n*f + 1/4*f**2 + 1/4.
(f - 1)**2/4
Factor 64 + 10*y**4 - 32*y**3 - 96*y**2 + 10*y**4 + 128*y + 0*y**3.
4*(y - 2)**2*(y + 2)*(5*y + 2)
Let o(x) be the second derivative of -1/42*x**4 - 1/35*x**5 + 0*x**2 + 1/105*x**6 + 0 + 2/21*x**3 - 5*x. Determine b so that o(b) = 0.
-1, 0, 1, 2
Let n be (0 - 0) + -1 - -7. Let c be (-4 + 2)*n/(-4). Factor l**2 + 12*l + 39*l**4 - 7*l**4 + 2 - 48*l**c + l**2.
2*(l - 1)**2*(4*l + 1)**2
Let 2/5*g**2 - 18/5*g - 4 = 0. What is g?
-1, 10
Let o(d) = 10*d**4 - 19*d**3 + 13*d**2 - 5*d - 5. Let b(c) = 10*c**4 - 18*c**3 + 14*c**2 - 6*c - 6. Let w(g) = 5*b(g) - 6*o(g). Factor w(q).
-2*q**2*(q - 2)*(5*q - 2)
Let r(m) be the first derivative of -3*m**4/4 + m**3 - 2. Factor r(c).
-3*c**2*(c - 1)
Let u be (9 + -6)*2/72. Let b(z) be the third derivative of 0*z**3 + 0*z - 1/15*z**5 + 2*z**2 - u*z**4 + 0. Factor b(n).
-2*n*(2*n + 1)
Let g(u) = -u**2 - 3*u + 2. Let z(h) = 5*h**2 + 16*h - 11. Let s(x) = -11*g(x) - 2*z(x). Factor s(d).
d*(d + 1)
Let n(v) be the third derivative of -v**5/30 + 5*v**4/12 + 2*v**3 - 8*v**2. Factor n(j).
-2*(j - 6)*(j + 1)
Solve -x**4 - 2*x + x**3 - 5*x**2 + 6*x**2 + x**3 = 0 for x.
-1, 0, 1, 2
Let s(y) be the first derivative of 2*y**5/35 - 2*y**3/21 + 5. Let s(i) = 0. Calculate i.
-1, 0, 1
Suppose -30 = -5*n + 5*s, n = -4*n + s + 26. Find c such that -4*c**5 - n*c**2 - 3*c**3 - c**4 + 6*c**4 + 4*c**3 + c + 2*c**3 = 0.
-1, 0, 1/4, 1
Let o(s) = s**2 - 5*s**3 - 4 + 1 + 0 - 3*s. Let u(y) = 26*y**3 - 6*y**2 + 16*y + 16. Let n(i) = -16*o(i) - 3*u(i). Suppose n(h) = 0. What is h?
-1, 0
Let f = 9 - 7. Factor 0 - l**4 + 1/2*l + l**f - 1/2*l**5 + 0*l**3.
-l*(l - 1)*(l + 1)**3/2
Suppose -2*g + 6 = g. Factor 0 - 4/3*t**g + 2/3*t + 2/3*t**3.
2*t*(t - 1)**2/3
Factor -7/2*o**2 + 3*o**3 + 1/2*o + 0.
o*(o - 1)*(6*o - 1)/2
Suppose -r - 2 - 4 = 0. Let j be r/12 + 14/4. Suppose 0*m**2 - 2/7*m**5 + 0*m + 0*m**4 + 0 + 2/7*m**j = 0. What is m?
-1, 0, 1
Let d(l) = 20*l**2 + 9*l + 25. Let k(q) = 9*q**2 + 5*q + 12. Let p(u) = 4*d(u) - 9*k(u). Let p(y) = 0. What is y?
-8, -1
Let d(y) be the third derivative of -y**5/330 - y**4/132 + 2*y**3/33 + 10*y**2. Factor d(j).
-2*(j - 1)*(j + 2)/11
Let g(r) be the third derivative of -r**8/168 + r**7/105 + r**6/20 - r**5/30 - r**4/6 + 9*r**2. Let g(x) = 0. Calculate x.
-1, 0, 1, 2
Let b be (-7 - -9)*2/3 - 1. Solve -b*c + 2/3 - 2/3*c**2 + 1/3*c**3 = 0 for c.
-1, 1, 2
Factor 4*j**2 - 21 + j**2 + 0*j**2 - 2*j**2 + 18*j.
3*(j - 1)*(j + 7)
Let w = 37/23 - 1/115. Factor -w + 48/5*k - 14*k**2.
-2*(5*k - 2)*(7*k - 2)/5
Let s(o) be the third derivative of 1/30*o**5 + 0*o + 0 - 7/48*o**4 + 1/4*o**3 - 10*o**2. Suppose s(b) = 0. Calculate b.
3/4, 1
Let c(w) be the third derivative of w**5/120 + w**4/24 + w**3/12 - 2*w**2 + 2*w. Factor c(q).
(q + 1)**2/2
Let a(i) be the first derivative of i**6/3 - 2*i**5 + 9*i**4/2 - 14*i**3/3 + 2*i**2 - 27. Let a(x) = 0. What is x?
0, 1, 2
Let w be (1 + -1)/((-6)/2). Let s = 5 - w. Factor 0 - 2/9*y**3 + 2/9*y**s + 0*y**2 + 0*y + 0*y**4.
2*y**3*(y - 1)*(y + 1)/9
Let q(a) be the second derivative of -1/14*a**5 + 1/21*a**4 + 0 + 5/21*a**3 - 2/7*a**2 - 2*a. Factor q(g).
-2*(g - 1)*(g + 1)*(5*g - 2)/7
Let c(a) = -a**2 - a. Let i = -5 - -2. Let j be (0 + 3)*(-2)/i. Let l(v) = 79*v**2 + 34*v + 4. Let x(z) = j*c(z) - l(z). Determine r so that x(r) = 0.
-2/9
Determine g, given that -1/4*g**3 - 1/4*g**2 + 0*g + 0 = 0.
-1, 0
Let p(c) be the third derivative of c**5/30 - c**4/3 + 4*c**2. Let p(a) = 0. What is a?
0, 4
Suppose 0 = 5*x + 42 - 7. Let b(j) = -j + 10. Let m be b(x). Factor -18*o + o**3 + 2*o**2 - 2 + 0*o**3 + m*o.
(o - 1)*(o + 1)*(o + 2)
Let f(o) be the third derivative of -o**8/560 + o**7/1050 + o**6/200 - o**5/300 + 6*o**2. Let f(s) = 0. What is s?
-1, 0, 1/3, 1
Let o(j) be the first derivative of -j**5/35 + j**4/28 + 2*j**3/21 - 2. Solve o(g) = 0.
-1, 0, 2
Let p(m) be the second derivative of 0*m**2 - 1/120*m**5 - 1/72*m**4 + 1/36*m**3 + 0 + 1/180*m**6 + 9*m. Find c, given that p(c) = 0.
-1, 0, 1
Let j(s) be the first derivative of -s**6/36 - s**5/15 + s**3/9 + s**2/12 + 5. Find v such that j(v) = 0.
-1, 0, 1
Let i(v) be the first derivative of -1/2*v**2 + 3 - 2/3*v + 0*v**3 + 1/12*v**4. Suppose i(s) = 0. What is s?
-1, 2
Determine x, given that 32/5*x + 16/5 - x**4 - 4/5*x**3 - 1/5*x**5 + 16/5*x**2 = 0.
-2, -1, 2
Let g(z) be the second derivative of 8/3*z**3 + 6*z + 0 + 1/6*z**4 + 16*z**2. What is x in g(x) = 0?
-4
Let l(w) be the first derivative of w**3/6 + w**2/4 + 11. Factor l(h).
h*(h + 1)/2
Let s(c) be the first derivative of c**4/4 - 3*c**3/2 + 3*c**2 - 2*c + 51. Factor s(b).
(b - 2)**2*(2*b - 1)/2
Let c(t) be the third derivative of t**6/216 + t**5/30 + t**4/18 - t**3/2 + t**2. Let q(y) be the first derivative of c(y). Factor q(k).
(k + 2)*(5*k + 2)/3
Factor 8/7*o**2 - 4/7*o**4 - 4/7 - 8/7*o**3 + 4/7*o + 4/7*o**5.
4*(o - 1)**3*(o + 1)**2/7
Let r(w) be the third derivative of -1/36*w**4 + 2*w**2 + 0*w + 0*w**3 + 1/180*w**5 + 0. Factor r(u).
u*(u - 2)/3
Let p(c) be the first derivative of c**5/20 + c**4/16 - c**3/12 - c**2/8 + 2. Factor p(w).
w*(w - 1)*(w + 1)**2/4
Suppose -2*u - 6*u = -3*u. Find m, given that -7/3*m**4 + u + 0*m - 2*m**5 + 2/3*m**2 + 1/3*m**3 = 0.
-1, -2/3, 0, 1/2
Let n be 1 + -2*3/18. Let m(h) be the first derivative of -n*h**3 + 0*h - 1 + h**2. Determine c so that m(c) = 0.
0, 1
Factor 1 + 6*m**2 + 586*m - 601*m + 5.
3*(m - 2)*(2*m - 1)
Let p(h) be the first derivative of h**5/5 - h**3/3 + 2. Factor p(s).
s**2*(s - 1)*(s + 1)
Let s = 4/37 + 136/111. Factor -10/3*w**2 + 4/3 - s*w**3 - 2/3*w.
-2*(w + 1)*(w + 2)*(2*w - 1)/3
Let h(m) be the first derivative of m**6/150 - 3*m**5/100 + m**4/30 - 2*m - 3. Let g(q) be the first derivative of h(q). Factor g(d).
d**2*(d - 2)*(d - 1)/5
Let w be (6 - -4)/((175/10)/7). Factor -2*c**3 + 5/2*c**2 + 0 - c + 1/2*c**w.
c*(c - 2)*(c - 1)**2/2
Factor -17*z + 10 - 6*z - 22*z + 45*z**2.
5*(3*z - 2)*(3*z - 1)
Suppose 6*g = g. Let k(j) be the second derivative of 1/70*j**5 + 1/42*j**4 - 1/7*j**2 - 1/21*j**3 + 2*j + g. Factor k(m).
2*(m - 1)*(m + 1)**2/7
Let b = 12 - 12. Let g(c) be the third derivative of b*c**3 + 0*c - 1/96*c**4 - c**2 - 1/240*c**5 + 0. Find k such that g(k) = 0.
-1, 0
Factor 0*b + 0 + 4/9*b**3 + 0*b**2 - 2/9*b**4.
-2*b**3*(b - 2)/9
Suppose p = -3*p - c - 1, 2 = p - 2*c. Suppose -3*h = -p*h - 12. Su