be the second derivative of 1/6*b**4 + 0*b**2 + b + 0 + 1/3*b**q. Factor o(x).
2*x*(x + 1)
Let l be ((-14)/(-10) + 0)/(4/70). Factor -2*u + 0 - l*u**3 + 14*u**2.
-u*(7*u - 2)**2/2
Let p = 12/25 + -3611/75. Let n = 49 + p. Find t such that -n*t**3 - 2*t**2 - 1/3*t**4 - 1/3 - 4/3*t = 0.
-1
Factor 2/13*m**4 + 0 + 8/13*m - 8/13*m**3 - 2/13*m**2.
2*m*(m - 4)*(m - 1)*(m + 1)/13
Let j(l) = -26*l**4 + 12*l**3 + 13*l**2 + 3*l + 1. Let h(b) = -b**4 - b - 1. Let d(k) = -4*h(k) - 4*j(k). Let d(m) = 0. Calculate m.
-1/3, -2/9, 0, 1
Suppose 2/5*o - 1/5 + 8/5*o**2 = 0. Calculate o.
-1/2, 1/4
Let q(z) be the first derivative of -z**3/3 - 4*z**2 - 16*z - 31. Factor q(i).
-(i + 4)**2
Let p(n) be the second derivative of n**6/180 - n**5/90 + n**3/6 - 4*n. Let i(b) be the second derivative of p(b). Factor i(v).
2*v*(3*v - 2)/3
Let j be (0 - -2)/(-1 + 2). Solve -4*l**3 + 2*l**3 + 4*l**3 + 0*l**2 + j*l**2 = 0 for l.
-1, 0
Let q be 2 - (404/84 - 3). Let p = q - -2/21. Factor -4/7*m**2 + 2/7*m**4 + 4/7*m**3 - p*m**5 - 2/7*m + 2/7.
-2*(m - 1)**3*(m + 1)**2/7
Let i(k) = 10*k**2 - 31*k. Let l(f) = 2*f**2 - 6*f. Let j(p) = 2*i(p) - 11*l(p). Solve j(u) = 0.
0, 2
Solve 7*p**4 - 135*p**3 + 81*p**5 + 60*p - 8*p**2 - 24 - 7*p**4 + 38*p**2 = 0 for p.
-1, 2/3
Suppose -2*v + 0*v = -22. Find j such that 3*j**2 + 18 + 4*j**2 - 5*j**2 - v*j - j = 0.
3
Let i(c) be the second derivative of c**6/20 - 19*c**5/40 + c**4/4 + 8*c**3 - 8*c**2 - 10*c - 2. Factor i(x).
(x - 4)**2*(x + 2)*(3*x - 1)/2
Let v(w) = -5*w**3 + w**2 + 13*w - 9. Let y(q) = 2*q**3 - 6*q + 4. Let b(k) = 4*v(k) + 9*y(k). Factor b(j).
-2*j*(j - 1)**2
Let l(c) be the third derivative of c**8/336 + c**7/420 - c**6/240 + 47*c**2. Solve l(m) = 0.
-1, 0, 1/2
Suppose -2/3 + 1/3*v + 2/3*v**2 - 1/3*v**3 = 0. Calculate v.
-1, 1, 2
Let y = 48 + -30. Let u be (-8)/y - (-2)/3. Let 0 - u*d - 8/9*d**2 = 0. What is d?
-1/4, 0
Let g(t) be the third derivative of 2*t**7/315 - 7*t**6/540 - t**5/54 + 7*t**4/108 - t**3/27 - 6*t**2. Find k such that g(k) = 0.
-1, 1/6, 1
Let g(m) = 9*m**4 + 3*m**3 + 5*m**2 - 13*m + 1. Let a(j) = -4*j**4 - 2*j**3 - 2*j**2 + 6*j. Let q(b) = -5*a(b) - 2*g(b). Factor q(l).
2*(l - 1)*(l + 1)**3
Suppose -6*g + 18 = -0. Let i = -1 + g. Let 4/3 + 2/3*m**i + 2*m = 0. Calculate m.
-2, -1
Let 3*y + 3/4*y**3 + 3*y**2 + 0 = 0. Calculate y.
-2, 0
Let z(i) be the first derivative of i**6/18 + i**5/3 + i**4/4 - 5*i**3/9 - 2*i**2/3 + 24. Factor z(s).
s*(s - 1)*(s + 1)**2*(s + 4)/3
Suppose 0 = 3*r - 24 - 0. Let -r*u + 2*u**2 - 2 + 3*u + 5*u = 0. What is u?
-1, 1
Determine s, given that 2/9*s**2 + 2/9*s - 2/9*s**3 - 2/9 = 0.
-1, 1
Let k(q) be the first derivative of 2*q**5/15 + 2*q**4 + 104*q**3/9 + 32*q**2 + 128*q/3 + 7. Suppose k(j) = 0. Calculate j.
-4, -2
Let a(g) = 5*g**4 + 4*g**3 - 7*g + 1. Let v(o) = -4*o**4 - 4*o**3 + 6*o. Let b(n) = -4*a(n) - 6*v(n). Factor b(i).
4*(i - 1)*(i + 1)**3
Let i(a) be the first derivative of -a**5/40 - a**4/4 - a**3 - 2*a**2 + 3*a + 2. Let d(j) be the first derivative of i(j). Find q, given that d(q) = 0.
-2
Let o(b) be the first derivative of 5*b**6/12 - 5*b**5/6 - 35*b**4/24 + 5*b**3/2 + 5*b**2/3 - 10*b/3 + 8. Find p such that o(p) = 0.
-1, 2/3, 1, 2
Let s(g) be the third derivative of -1/110*g**5 - 4/33*g**3 + 0 + 1/11*g**4 - 1/132*g**6 - 7*g**2 + 0*g. Solve s(a) = 0.
-2, 2/5, 1
Let r(v) be the second derivative of v**6/10 + 9*v**5/20 + v**4/2 + 28*v. Let r(g) = 0. Calculate g.
-2, -1, 0
Let d(f) be the third derivative of f**9/6048 - f**8/1680 + f**6/360 - f**5/240 + 2*f**3/3 - 5*f**2. Let q(z) be the first derivative of d(z). Factor q(k).
k*(k - 1)**3*(k + 1)/2
Let l(j) be the third derivative of -j**5/300 - j**4/40 + 7*j**2. Factor l(w).
-w*(w + 3)/5
Let c = 398/9 - 44. Find t, given that 0 + 4/9*t + c*t**2 = 0.
-2, 0
Solve -y - y + 2*y**2 - 4*y - 2*y + 6 = 0.
1, 3
Let k(r) be the third derivative of -r**8/504 - 4*r**7/315 - r**6/90 + 2*r**5/45 + r**4/12 + 5*r**2. Solve k(l) = 0 for l.
-3, -1, 0, 1
Let o(a) be the first derivative of -7*a**6/9 + 8*a**5/5 - a**4/2 - 4*a**3/9 + 5. Factor o(u).
-2*u**2*(u - 1)**2*(7*u + 2)/3
Suppose 4*y + 4 = 12. Suppose -10 = y*g - 4*g. Suppose -g*u**2 + 0*u**3 + 2*u**3 - 4*u**3 - 1 - 4*u = 0. Calculate u.
-1, -1/2
Let j(y) = -y**2 - 1. Let f(u) = -2*u**3 - 14*u**2 - 12. Let g(n) = f(n) - 12*j(n). Factor g(x).
-2*x**2*(x + 1)
Factor -36*f - 6 + f**3 + 27*f + 2*f**3.
3*(f - 2)*(f + 1)**2
Let p(z) = -z**4 + 1. Let i(o) = 4*o**4 - 5*o**3 + 8*o**2 - 4*o - 3. Let d(g) = 5*i(g) + 15*p(g). Determine t so that d(t) = 0.
0, 1, 2
Determine l so that 18*l**3 + 16*l**2 - 5*l - 10*l**4 - 3*l**3 - 16*l**2 = 0.
-1/2, 0, 1
Let f be (-10)/8 + 12/8. Let b = -9 + 19/2. Find w such that -f - 1/4*w**2 - b*w = 0.
-1
Let l(q) = -q**2 - 3*q + 4. Let d(i) be the second derivative of -i**3/6 + i**2/2 + i. Let o(k) = 14*d(k) - 2*l(k). Determine y so that o(y) = 0.
1, 3
Let n(h) be the second derivative of -h**5/15 + 2*h**4/9 - 2*h**3/9 + 15*h. Factor n(y).
-4*y*(y - 1)**2/3
Let q(i) be the first derivative of -5*i**4/18 + 8*i**3/9 - 4*i**2/9 - 3. Let q(n) = 0. What is n?
0, 2/5, 2
Let w = -59023/15 + 3933. Let s = w + 52/15. Find m such that 2/5*m + 0 + s*m**2 = 0.
-1/4, 0
Let d(g) = g**3 + g + 1. Let l(z) = -21*z**4 + 73*z**3 - 81*z**2 + 43*z - 2. Let y(o) = 4*d(o) - l(o). Determine x, given that y(x) = 0.
2/7, 1
Factor -24*i**2 - 1 - 4*i**3 + 0*i - 6*i + 15*i**2.
-(i + 1)**2*(4*i + 1)
Let k(s) be the first derivative of -s**4/8 - s**3/2 - s**2/2 + 5. Factor k(r).
-r*(r + 1)*(r + 2)/2
Let v(u) be the third derivative of -1/30*u**5 + 1/105*u**7 + 0 + 0*u + 6*u**2 + 1/24*u**4 + 0*u**3 - 1/120*u**6. Factor v(g).
g*(g - 1)*(g + 1)*(2*g - 1)
Let y = -11 - -14. Find b such that 11*b**2 - 3*b**y + b + 16*b**5 - 3*b**3 + 7*b**3 - 24*b**4 - 5*b**2 = 0.
-1/4, 0, 1
Suppose -n + 6 = 2. Solve -67*k**3 - 23*k**3 - 24*k + n*k**4 + 108*k**2 + 17*k**4 = 0.
0, 2/7, 2
Let j(m) be the third derivative of 0 - 1/420*m**6 + 0*m**3 + 0*m**4 - 1/210*m**5 + 0*m + 2*m**2. Solve j(z) = 0.
-1, 0
Let w(j) be the first derivative of -j**7/21 + j**5/5 - j**3/3 + 2*j - 2. Let y(o) be the first derivative of w(o). Factor y(l).
-2*l*(l - 1)**2*(l + 1)**2
Suppose -3*f - 12 = -5*p, 4*p + 5*f - 5 = 12. Factor 4*z**2 + 0*z**5 - 2 - 2*z**4 + 2*z**5 - z**3 - 3*z**p + 2*z.
2*(z - 1)**3*(z + 1)**2
Let b(a) be the third derivative of a**7/1680 + a**6/240 - a**4/12 - a**3/3 - a**2. Let p(j) be the first derivative of b(j). What is z in p(z) = 0?
-2, 1
Factor 3/2*m**3 + 0*m + 0*m**2 + 0.
3*m**3/2
Let d(l) = 17*l**2 - 12*l + 100. Let o(x) = 2*x**2 + x. Let n(c) = -3*d(c) + 24*o(c). Factor n(z).
-3*(z - 10)**2
Let d(t) = -t**5 - t**4 + 2*t**3 + 2*t**2 + 2*t - 4. Let n(m) = m - 1. Let r(g) = d(g) - 3*n(g). What is a in r(a) = 0?
-1, 1
Let t(l) = 2*l**3 - 7*l**2 + 7*l. Let f be t(2). Suppose -1/4*w**f + 1/2*w + 0 - 1/4*w**3 = 0. Calculate w.
-2, 0, 1
Determine f, given that 295 + 3*f**2 - 3*f**4 + 6*f + 3*f**5 - 295 + 3*f**3 - 12*f**3 = 0.
-1, 0, 1, 2
Suppose 0*h = h. Let t(f) be the second derivative of 2/3*f**2 + 1/36*f**4 + 2/9*f**3 + 3*f + h. Factor t(q).
(q + 2)**2/3
Let p(w) be the third derivative of -49*w**7/10 + 1617*w**6/40 + 259*w**5/10 - 33*w**4/2 - 20*w**3 + 8*w**2 - 2*w. Find u, given that p(u) = 0.
-2/7, 2/7, 5
Let c(r) be the third derivative of r**8/28 - 9*r**7/70 + 3*r**6/20 - r**5/20 + r**2. Factor c(l).
3*l**2*(l - 1)**2*(4*l - 1)
Suppose 7/4*t + 9/4*t**2 - 1/2 = 0. Calculate t.
-1, 2/9
Let p be (-2)/(-3)*3/12*3. Factor 0*v**2 - p*v + 1/2*v**3 + 1/4 - 1/4*v**4.
-(v - 1)**3*(v + 1)/4
Let i(n) be the second derivative of 3*n + n**3 + n**2 + 0 + 1/10*n**5 + 1/2*n**4. What is g in i(g) = 0?
-1
Suppose -3*l - 2 = -17. Factor 1/2*r**l + 0*r**3 + 0*r - 2*r**2 + 3/2*r**4 + 0.
r**2*(r - 1)*(r + 2)**2/2
Let g(l) be the second derivative of -l**7/1260 + l**5/180 + l**3/2 - l. Let h(s) be the second derivative of g(s). Let h(o) = 0. What is o?
-1, 0, 1
Find q such that -35/3*q**5 + 52/3*q**2 + 11/3*q**4 + 0 + 8/3*q + 30*q**3 = 0.
-1, -2/5, -2/7, 0, 2
Let v(q) = 4*q**4 + q**3 + q**2 + 2*q. Let s be (-1 - 0)*4/2. Let w(b) = -b**3 + b**2 + b. Let d(k) = s*w(k) + v(k). Suppose d(t) = 0. Calculate t.
-1, 0, 1/4
Let y(r) be the third derivative of 2/15*r**3 - r**2 - 1/150*r**5 + 0*r + 1/60*r**4 + 0. Factor y(l).
-2*(l - 2