) + 2/4. Factor -3/7*r**3 - 6/7*r - t*r**2 + 0.
-3*r*(r + 1)*(r + 2)/7
Let u(c) = c**2 - 1. Let v(h) = 2*h**2 - 2*h - 1. Let b(n) = 3*u(n) + v(n). Let r(f) = -f**2 + 1. Let o(g) = -b(g) - 4*r(g). Solve o(m) = 0.
0, 2
Let s(g) = 5*g**4 + 10*g**3 - 5*g**2 + 5*g. Let a(c) = c**5 + 6*c**4 + 9*c**3 - 4*c**2 + 4*c. Let m(u) = 5*a(u) - 4*s(u). Solve m(x) = 0 for x.
-1, 0
Factor 8/5*v - 2/5*v**2 - 8/5.
-2*(v - 2)**2/5
Let l(y) be the second derivative of -1/42*y**7 + 0*y**2 + 0 - 2/15*y**6 - 1/3*y**4 - 3/10*y**5 - 1/6*y**3 - 3*y. Factor l(s).
-s*(s + 1)**4
Suppose 5*g + 2 = 4*x + 43, -4 = x. Suppose g*v = -6 + 16. Find y, given that -4*y**2 - 2 - 2 + 6 + v*y**2 = 0.
-1, 1
Let m(g) = 4*g**3 - 93*g**2 + 479*g + 5. Let f(i) = 2*i**3 - 46*i**2 + 240*i + 2. Let r(b) = -5*f(b) + 2*m(b). Determine s, given that r(s) = 0.
0, 11
Let i(f) = 8*f - 8 - 4 + 7*f - 14*f. Let c be i(14). What is z in 5/7*z**3 + 4/7 - 8/7*z - z**c = 0?
-1, 2/5, 2
Let x = -5 + 8. Suppose -20 = -a - 4*a. Determine d, given that d**4 + 2*d**x + 2*d - a*d - 1 + d - d = 0.
-1, 1
Let p = -50 - -12. Let o = p + 40. Solve 0 - 39/2*v**4 + 3*v + 9/2*v**5 - 33/2*v**o + 57/2*v**3 = 0.
0, 1/3, 1, 2
Let h = -5 - 0. Let f(w) = w**2 + 2*w + 3. Let a(l) = -l**2 - 4*l - 5. Let p(s) = h*f(s) - 3*a(s). Factor p(i).
-2*i*(i - 1)
Factor 1/7*r**5 + 1/7*r**2 - 1/7*r**3 + 0*r - 1/7*r**4 + 0.
r**2*(r - 1)**2*(r + 1)/7
Let f(w) = 6*w**2 - 9*w + 3. Suppose -j - 3*j = 12. Let g(d) = -17*d**2 + 26*d - 8. Let i(v) = j*g(v) - 8*f(v). Factor i(n).
3*n*(n - 2)
Solve 23 - 20*f**3 - 12*f**2 + 20*f + 34 - 45 = 0 for f.
-1, -3/5, 1
Let q(h) be the first derivative of 4*h**3/3 + 2*h**2 - 8*h + 7. What is r in q(r) = 0?
-2, 1
Let o(f) be the first derivative of 0*f - 1/12*f**3 - 3 + 1/8*f**2. Factor o(y).
-y*(y - 1)/4
Let l(h) be the third derivative of 4*h**2 + 1/315*h**7 + 0*h**5 + 0*h**4 + 0*h**3 + 0*h + 1/60*h**6 + 0. Factor l(q).
2*q**3*(q + 3)/3
Factor -25*s**4 + 2*s**2 + 11*s**4 + 12*s**4.
-2*s**2*(s - 1)*(s + 1)
Let h be 8 + -5 + -2 + 4. Factor 126*c + 3 - 3 - 125*c + c**h - 2*c**3.
c*(c - 1)**2*(c + 1)**2
Let p(y) be the third derivative of 0 + 1/70*y**7 + 1/112*y**8 + 0*y - 7*y**2 - 1/20*y**6 + 1/2*y**3 - 1/10*y**5 + 1/8*y**4. Suppose p(s) = 0. Calculate s.
-1, 1
Suppose -5*u = -10 - 0. Let p = 37 + -34. Determine r so that 1/2*r**u - 1/2 + 1/2*r**p - 1/2*r = 0.
-1, 1
Let p be 3 + 0/(-1) - -1. Solve u**4 + 0*u**4 + u + 5*u**p + 9*u**3 - 4*u = 0 for u.
-1, 0, 1/2
Let o = 15 - 15. Let p(w) be the second derivative of w**2 + o - 2*w - 5/3*w**4 - 1/2*w**3. Factor p(g).
-(4*g - 1)*(5*g + 2)
Factor 0 + 3/4*u**4 - 3/4*u + 3/4*u**3 - 3/4*u**2.
3*u*(u - 1)*(u + 1)**2/4
Let v(b) = -b**2 - b + 6. Let u be v(2). Let n(y) be the second derivative of 0 + u*y**2 + 1/30*y**4 + 1/15*y**3 + 3*y. Find g, given that n(g) = 0.
-1, 0
Let m = -851 + 76591/90. Let r(i) be the third derivative of -1/18*i**4 + 0*i + 1/210*i**7 - i**2 + 1/90*i**6 + 0 - 1/18*i**3 - m*i**5. Factor r(o).
(o - 1)*(o + 1)**2*(3*o + 1)/3
Factor 0*j**2 - 2 - j**4 + j - j**2 - j**3 + 4*j**2.
-(j - 1)**2*(j + 1)*(j + 2)
Let u(g) be the third derivative of g**5/270 + g**4/54 + g**3/27 + 9*g**2. Determine t, given that u(t) = 0.
-1
Let g = -4 + 4. Let l(o) be the second derivative of 1/48*o**4 + g*o**2 + 0 - 1/12*o**3 + 2*o. What is z in l(z) = 0?
0, 2
Let n(j) be the second derivative of j**4/3 - 8*j**3/3 - 6*j. Find z such that n(z) = 0.
0, 4
Let o(f) = -16*f**4 - 87*f**3 - 192*f**2 - 137*f - 9. Let d(t) = 4*t**4 + 22*t**3 + 48*t**2 + 34*t + 2. Let j(c) = -9*d(c) - 2*o(c). Factor j(i).
-4*i*(i + 2)**3
Let c(x) be the third derivative of x**8/33600 - x**7/12600 - x**6/3600 + x**5/600 + 5*x**4/24 + 5*x**2. Let r(n) be the second derivative of c(n). Factor r(s).
(s - 1)**2*(s + 1)/5
Let y(t) be the second derivative of t**6/105 - t**5/14 - 3*t - 17. Find c such that y(c) = 0.
0, 5
Suppose 62 = 4*w + 54. Factor 0*r**w + 0 + r**3 - 1/2*r**4 + 0*r - 3/2*r**5.
-r**3*(r + 1)*(3*r - 2)/2
Let u be (0 + (0 - 0))/2. Solve -2 + 0*m**3 + u*m + m**4 + m**4 - 4*m + 4*m**3 = 0.
-1, 1
Let a(o) be the third derivative of 0*o + 0 - 1/480*o**6 - 1/96*o**5 + 2*o**2 - 1/6*o**3 + 1/48*o**4. Let v(n) be the first derivative of a(n). Factor v(m).
-(m + 2)*(3*m - 1)/4
Factor 12*h - 4 - 2 - 1 - 9*h**2 + 3.
-(3*h - 2)**2
Let l(r) be the first derivative of 1/2*r**2 + 1/4*r**4 - 2/3*r**3 + 3 + 0*r. Factor l(t).
t*(t - 1)**2
Let a(t) be the second derivative of 5*t**4/12 + 5*t**3/2 - 10*t**2 + t - 3. Factor a(f).
5*(f - 1)*(f + 4)
Let b(k) be the second derivative of -9*k**5/100 + 13*k**4/20 - 13*k**3/10 + 9*k**2/10 - k. Factor b(r).
-3*(r - 3)*(r - 1)*(3*r - 1)/5
Let j(z) = z**2 - z - 1. Let a(c) = 4*c**4 - 4*c**2 - 16*c - 8. Let y(v) = -a(v) + 8*j(v). Factor y(w).
-4*w*(w - 2)*(w + 1)**2
Let q = 612 - 608. Solve 0*g**q + 0*g**2 + 2/9*g**5 + 0*g + 0 + 0*g**3 = 0 for g.
0
Let f(v) be the second derivative of v**7/2205 - v**6/840 - v**5/420 - 5*v**4/12 + 4*v. Let g(j) be the third derivative of f(j). Factor g(y).
2*(y - 1)*(4*y + 1)/7
Let k(r) = -r**2 + 10*r - 23. Let h be k(5). Factor 1/2*d**3 + 0 + 1/2*d + d**h.
d*(d + 1)**2/2
Let m = 20 + -9. Let g(x) be the first derivative of 11*x**3/3 + 8*x**2 - 4*x - 2. Let z(t) = 32*t**2 + 47*t - 12. Let c(j) = m*g(j) - 4*z(j). Factor c(y).
-(y + 2)*(7*y - 2)
Let n(y) = -2*y**3 + 10*y**2 - 32. Let s(q) = q**3 - 3*q**2 + 11. Let b(j) = 3*n(j) + 8*s(j). Let b(w) = 0. Calculate w.
-2, 1
Suppose 73 - 25*b - 37 - b**2 + b + 5*b**2 = 0. Calculate b.
3
Let w(p) = 6*p**4 + 2*p**3 - 2*p**2 - 18*p - 4. Let m(a) = -a**4 + a**2 + a + 1. Let f(q) = 8*m(q) + w(q). Let f(u) = 0. What is u?
-2, 1
Let q(w) be the third derivative of w**5/30 + 5*w**4/12 + 2*w**3 + 29*w**2. Factor q(x).
2*(x + 2)*(x + 3)
Let k(v) be the third derivative of v**6/540 + v**5/360 - v**4/72 - 2*v**3/3 + 4*v**2. Let r(j) be the first derivative of k(j). Factor r(d).
(d + 1)*(2*d - 1)/3
Let i be 93/(-48) + 4/2. Let g(u) be the first derivative of i*u**4 + 3/2*u**2 - 1/2*u**3 - 2*u + 1. Determine z so that g(z) = 0.
2
Let s(x) = -16*x**3 + 16*x**2 - 4*x - 16. Let g(l) = -5*l**3 + 5*l**2 - l - 5. Let r(k) = 20*g(k) - 6*s(k). Factor r(w).
-4*(w - 1)**2*(w + 1)
Factor -1/3*l + 0 - 1/3*l**4 - l**2 - l**3.
-l*(l + 1)**3/3
Let j = 4 + -4. Let y(l) be the second derivative of j - 1/6*l**4 + 0*l**3 + 2*l + l**2. Factor y(q).
-2*(q - 1)*(q + 1)
Suppose c + 2 = -4*f - 16, 0 = 2*f + 10. Factor 2 - 6 - c*p + 8 - 2*p**2.
-2*(p - 1)*(p + 2)
Let g(v) = -5*v - 1. Let h be g(4). Let k be (-3)/(-2) - h/(-14). Solve -3/2*r**2 + 3/2*r**4 - 1/2*r + k + r**5 - 1/2*r**3 = 0.
-1, -1/2, 0, 1
Let y = -46/3 - -47/3. Factor -u**3 + 2/3*u**2 + y*u + 0.
-u*(u - 1)*(3*u + 1)/3
Suppose -45 + 15*t**4 + 75*t**2 - 2*t + 80*t**3 + 5 - 28*t = 0. Calculate t.
-4, -1, 2/3
Let b(k) be the first derivative of -2*k**3/3 + 2*k + 6. Let b(u) = 0. What is u?
-1, 1
Let f be (-34)/(-12) - 1/(-6). Solve 0*k - 2*k + 27 - 16*k + f*k**2 + 0*k = 0.
3
Let t(o) be the second derivative of -11/90*o**5 + 0*o**2 - 14/135*o**6 + 2*o + 0 + 2/27*o**3 + 5/54*o**4. Find d such that t(d) = 0.
-1, -2/7, 0, 1/2
Let r = -18 + 10. Let k = r + 10. Determine a so that -3/2*a**5 + 2*a**k + a**3 - 2*a**4 + 1/2*a + 0 = 0.
-1, -1/3, 0, 1
Let u(t) be the first derivative of 0*t + 0*t**4 - 1/1800*t**6 + 3 + 0*t**2 + 0*t**5 - t**3. Let p(y) be the third derivative of u(y). Factor p(g).
-g**2/5
Suppose 6 = -y + 8. Let k(u) be the second derivative of 2/5*u**3 - 1/10*u**4 + 2/35*u**7 + 0 + u + 1/50*u**6 - 6/25*u**5 + 3/10*u**y. Solve k(j) = 0.
-1, -1/4, 1
Let s = -168 - -848/5. Factor 88/5*x + 146/5*x**3 + 172/5*x**2 + 16/5 + s*x**5 + 56/5*x**4.
2*(x + 2)**3*(2*x + 1)**2/5
Suppose 0*x - 4 = -2*n - 2*x, 0 = -5*n - 2*x + 10. Suppose 0 - 1/4*m**5 - m**n - 1/4*m - 3/2*m**3 - m**4 = 0. What is m?
-1, 0
Factor 2*t**2 - 5*t**4 + t**4 + 2*t**4.
-2*t**2*(t - 1)*(t + 1)
Factor 3/2*i**2 + 12*i + 0.
3*i*(i + 8)/2
Let n(y) be the second derivative of -1/2*y**2 - y - 1/6*y**3 + 1/16*y**4 + 0. Factor n(j).
(j - 2)*(3*j + 2)/4
Determine n, given that 2/3*n**2 + 2/3*n + 0 + 4/3*n**5 - 2/3*n**4 - 2*n**3 = 0.
-1, -1/2, 0, 1
Suppose -8*s + 18 = -4*s + 5*u, s = 5*u - 8. Factor 1/6*z**3 - 1/3 - 1/2*z + 0*z**s.
(z - 2)*(z + 1)**2/6
Let w(o) be the third derivative of 3/20*o**5 + 0*o**3 + 0*o +