**4 + 8/7*m**5 + 2/7*m**2 + a*m + 4/7*m**3.
2*m**2*(m - 1)**2*(4*m + 1)/7
Find t, given that -6/5*t + 3/5*t**2 + 3/5 = 0.
1
Let s(w) be the third derivative of -w**7/2940 + w**6/1260 + w**5/420 - w**4/84 + w**3/6 - 3*w**2. Let x(t) be the first derivative of s(t). Factor x(c).
-2*(c - 1)**2*(c + 1)/7
Let r be 3/((-5)/(-2) - 1). Let p(c) be the second derivative of 1/90*c**5 + 0 - 5/27*c**3 + r*c + 1/135*c**6 - 1/18*c**4 - 2/9*c**2. Let p(i) = 0. Calculate i.
-1, 2
Let l(o) be the first derivative of -3*o**4/14 + 20*o**3/21 - 9*o**2/7 + 4*o/7 + 3. Factor l(z).
-2*(z - 2)*(z - 1)*(3*z - 1)/7
Let z = 68 + -45. Determine d so that d**4 - z*d**3 + 2*d**4 + 12*d**2 + 11*d**3 = 0.
0, 2
Let s be ((-2)/3)/((-8)/36). Let m(a) be the first derivative of 0*a**2 - 2/7*a + 1 + 2/21*a**s. Solve m(d) = 0.
-1, 1
Let r(s) be the third derivative of 0 + 0*s**3 + 2/105*s**7 + 0*s**4 + 0*s + 2*s**2 - 5/672*s**8 - 1/60*s**5 - 1/240*s**6. Solve r(v) = 0 for v.
-2/5, 0, 1
Let d(u) be the first derivative of -u**4/22 + 3*u**2/11 + 4*u/11 + 12. Factor d(h).
-2*(h - 2)*(h + 1)**2/11
Let z be 3/2*(-8)/60*-4. Let b(f) be the first derivative of 3 + 0*f**4 - z*f**5 + f**2 - 1/3*f**6 + 4/3*f**3 + 0*f. Factor b(k).
-2*k*(k - 1)*(k + 1)**3
Suppose -2*w = 5*r - 5, -w + 3*w + 7 = -r. Determine y, given that y + 3 + r + 0 - 4 - y**2 = 0.
-1, 2
Let i be (-204)/(-144) - (-3)/(-4). Factor 0*g**2 + g + i - 1/3*g**3.
-(g - 2)*(g + 1)**2/3
Let p be (-4)/12*(-3)/4. Factor 1/2 - p*v**2 - 1/4*v.
-(v - 1)*(v + 2)/4
Factor 3/2*m + 1 + 1/2*m**2.
(m + 1)*(m + 2)/2
Let z(v) = v**2 + 6. Let q be z(0). Solve -3*n**5 + q*n**2 - 6*n**2 = 0.
0
Let w be 2/(-7) - 88/(-14). Factor w*v**4 - v**3 - 6*v**5 - v**3 + 4*v**5 - 2*v**4.
-2*v**3*(v - 1)**2
Let t = -3/107 - -229/535. Suppose -5*v + 7 = -2*l, -4*v = -v - 4*l + 7. Factor t - 2/5*b**2 - 2/5*b**v + 2/5*b.
-2*(b - 1)*(b + 1)**2/5
Let q = -104407/230139 - -4/5901. Let n = -3/13 - q. Solve 0 + n*v - 2/9*v**2 = 0.
0, 1
Let g(w) be the first derivative of 9/5*w**2 - 27/5*w + 4 - 1/5*w**3. Find l, given that g(l) = 0.
3
Let x(o) = -o**2 + o - 4. Let p be x(3). Let a be 11 + p - (1 + 0). What is s in 1/2*s - 1/4*s**2 + a = 0?
0, 2
Suppose 4*w + 4*r = -20, w + 0 = -4*r - 20. Suppose 0 = -5*t - w*t + 5. Factor -t - 2*o + 2*o**2 + 1.
2*o*(o - 1)
Let f(q) be the first derivative of 1/360*q**6 + 0*q**2 + 2/3*q**3 + 0*q**5 - 4 - 1/24*q**4 + 0*q. Let o(l) be the third derivative of f(l). Factor o(r).
(r - 1)*(r + 1)
Factor 3*k**2 - k**5 - k**2 - 4*k - 2*k**4 + k**3 + 4*k.
-k**2*(k - 1)*(k + 1)*(k + 2)
Find h, given that -6*h + 2*h + 9*h**3 - 5*h + 0*h - 3*h**2 + 3 = 0.
-1, 1/3, 1
Let o(a) = 2*a**4 + 6*a**3 + 12*a**2 - a - 14. Let s(w) = -w**4 - 6*w**3 - 12*w**2 + 2*w + 13. Let i(x) = 4*o(x) + 5*s(x). Let i(j) = 0. Calculate j.
-1, 1, 3
Let t(d) = 0 - 11*d - d**2 - 6 - 2. Let a be t(-10). Factor -2/7*x - 2/7*x**5 + 2/7*x**4 + 4/7*x**3 - 4/7*x**a + 2/7.
-2*(x - 1)**3*(x + 1)**2/7
Factor -4/3*i**2 - 4 + 16/3*i.
-4*(i - 3)*(i - 1)/3
Suppose -4/7*z + 2/7*z**2 + 2/7 = 0. What is z?
1
Let u(w) be the second derivative of 1/66*w**4 + 0*w**2 - 1/110*w**5 + 0 + 0*w**3 + 3*w. Factor u(i).
-2*i**2*(i - 1)/11
Suppose 2*t + 2*t = 16, -m - 20 = -5*t. Suppose -3*v - i + 4*i + 18 = m, 6 = 4*v + 2*i. Factor 31*q - v*q**4 + 0*q**4 - 31*q.
-3*q**4
Let a(v) be the third derivative of v**9/68040 + v**8/15120 + v**7/11340 + v**4/12 + v**2. Let o(s) be the second derivative of a(s). Factor o(n).
2*n**2*(n + 1)**2/9
Let k(m) be the first derivative of -2*m**5 + 2*m**4 - 8*m**3/15 + 8. Determine w, given that k(w) = 0.
0, 2/5
Let h(d) be the first derivative of -d**4/4 - d**3 - 3*d**2/2 - d - 7. Let h(n) = 0. What is n?
-1
Factor -81/5*v + 3/5*v**3 - 42/5 - 36/5*v**2.
3*(v - 14)*(v + 1)**2/5
Let y be 1*1*(-1 - -4)/9. Factor 0*t + 0*t**3 - 2/3*t**2 + y*t**4 + 1/3.
(t - 1)**2*(t + 1)**2/3
Let i be (-3)/2*36/(-27). Suppose -7*n + 2 + 4*n - 2*n**2 + 3*n**i = 0. What is n?
1, 2
Let y(c) be the first derivative of -c**5/30 - c**4/8 - c**3/18 + c**2/4 + c/3 + 13. Factor y(t).
-(t - 1)*(t + 1)**2*(t + 2)/6
Suppose -2*u**3 - 4*u**5 + 14*u**3 - 2*u + 5*u**2 + u**4 + 4*u**4 - 4*u**4 = 0. Calculate u.
-1, 0, 1/4, 2
Let l(g) = -g**2 - 9*g + 12. Let w be l(-10). Factor -4*u - 6 - 3*u**2 - 5*u + u**w + u.
-2*(u + 1)*(u + 3)
Let p be ((-5)/((-60)/18))/((-3)/(-4)). Factor 0*x - 1/3*x**p - 1/3*x**4 + 0 - 2/3*x**3.
-x**2*(x + 1)**2/3
Let j(d) = -7*d**2 + 22*d - 15. Let s(a) = -a**2 + a. Let v(c) = -j(c) + 4*s(c). Find l such that v(l) = 0.
1, 5
Let w = 1 - 0. Suppose w = -2*m + 2*k + 13, 4*k + 6 = -5*m. Let d**4 + 3*d**3 - d - 2*d**4 + m*d - 3*d**2 = 0. What is d?
0, 1
Factor 14/5*r - 3/5*r**2 - 8/5.
-(r - 4)*(3*r - 2)/5
Let w(d) be the second derivative of d**7/14 - 3*d**5/10 + d**3/2 + 6*d. Find q, given that w(q) = 0.
-1, 0, 1
Factor 0*l**5 + 15*l**4 + 6*l + 3*l**3 + 2*l**5 + 21*l**2 + 24*l**3 + l**5.
3*l*(l + 1)**3*(l + 2)
Suppose 3*w + 8 = 2*u, 2*u + 1 = 5*w + 9. Factor 15*y**3 - 4*y**4 + 0*y**4 - 5*y**u - 45*y**5 - 3*y**2 + 18*y**5.
-3*y**2*(y + 1)*(3*y - 1)**2
Factor 20/9 - 14/3*j + 8/3*j**2 - 2/9*j**3.
-2*(j - 10)*(j - 1)**2/9
Let f = -9 - -9. Suppose 2*p - p = f. Factor 2/3*x**4 + 0*x**3 + 0 - 2/3*x**2 + p*x.
2*x**2*(x - 1)*(x + 1)/3
Let x(z) be the third derivative of -z**8/112 + z**7/70 + z**6/40 - z**5/20 - 2*z**2. Factor x(w).
-3*w**2*(w - 1)**2*(w + 1)
Let w(v) = v**3 + 8*v**2 + 8*v + 7. Suppose 0*p - 9 = 2*a + p, -5*p = 5*a + 10. Let b be w(a). Factor -1/3*n**5 + 0*n**3 + 0*n**2 + b*n - 1/3*n**4 + 0.
-n**4*(n + 1)/3
Let o(d) = 2 + 5*d - 4*d - d**3 - 5*d**2 - 1. Let c be o(-5). Let p(x) = x**3 - x**2. Let r(f) = -5*f**3 + 6*f**2 - f. Let l(n) = c*r(n) - 22*p(n). Factor l(g).
-2*g*(g - 1)*(g + 2)
Let l = 2594/9 + -288. Let 0 + 2/3*f**2 + 4/9*f + l*f**3 = 0. What is f?
-2, -1, 0
Let n = -24 + 26. Factor 1/4*j - 1/4*j**n + 0.
-j*(j - 1)/4
Let c(k) = -7*k**2 - 4*k. Let o(b) = -b**2 - b. Let i(g) = -4*g**2 + 2*g - g + g**2. Let x be i(1). Let q(r) = x*o(r) + c(r). Factor q(v).
-v*(5*v + 2)
Let c(n) be the third derivative of n**5/210 - 3*n**4/14 + 27*n**3/7 + 37*n**2. Factor c(y).
2*(y - 9)**2/7
Let w be ((-5)/((-40)/(-12)))/((-45)/12). Factor -w*f + 0 + 2/5*f**2.
2*f*(f - 1)/5
Let u(o) be the third derivative of -o**7/1050 + o**6/300 - o**5/300 + 2*o**2. Factor u(f).
-f**2*(f - 1)**2/5
Let j(f) be the second derivative of -f**6/15 + 2*f**5/5 - f**4/3 - 4*f**3/3 + 3*f**2 + 41*f. Find n, given that j(n) = 0.
-1, 1, 3
Suppose -3*a - 12 = -4*o - 4*a, -14 = -o - 3*a. Solve -4/3*r + 0 - 4/3*r**o - 1/3*r**3 = 0.
-2, 0
Let a(s) be the third derivative of -s**6/300 - 2*s**5/75 - s**4/20 - 5*s**2. Let a(g) = 0. Calculate g.
-3, -1, 0
Let w(t) be the second derivative of -t**7/252 + t**6/60 - t**5/40 + t**4/72 - 35*t. What is s in w(s) = 0?
0, 1
Let c(a) = -a + 10. Let u be c(7). Let r(o) be the first derivative of 2*o + 2/3*o**u - 2*o**2 + 1. Factor r(s).
2*(s - 1)**2
Let s(b) = b**2 + 5. Let d be s(4). Let u be d/(-49)*4/(-6). Suppose -32/7 + 64/7*a - 48/7*a**2 - u*a**4 + 16/7*a**3 = 0. What is a?
2
Let i(u) = -u + 3. Let h = 4 + -4. Let c be i(h). Factor 4*w - w**2 - 6*w**3 - 3*w + 0*w**c.
-w*(2*w + 1)*(3*w - 1)
Suppose -f + 3*v = 9, -2*f - 2*v + 34 = 2*f. Let m(l) be the third derivative of l**4 + 0*l + 16/15*l**f - 3*l**2 + 1/3*l**3 + 0 + 8/5*l**5. Factor m(h).
2*(4*h + 1)**3
Let n = 430452/6965 - 3/1393. Let s = 62 - n. Solve 0 + 0*o**2 + 2/5*o**4 - 3/5*o**5 + s*o**3 + 0*o = 0 for o.
-1/3, 0, 1
Let c = -3 + 8. Let z(n) be the first derivative of -2*n**3/3 + 11*n**2/2 + n - 7. Let a(p) = -p - 1. Let w(i) = c*a(i) + z(i). Factor w(g).
-2*(g - 2)*(g - 1)
Let p = -128 - -388/3. Determine q, given that 4/3*q**4 + 0 + p*q**3 + 1/3*q**2 + 0*q = 0.
-1/2, 0
Let u = 1939/3 + -646. Let 0 - u*y - y**3 - 1/3*y**4 - y**2 = 0. What is y?
-1, 0
Let a = -142 + 145. Solve -2/3*g**a - 2/9*g + 10/9*g**2 - 2/9 = 0.
-1/3, 1
Let t(n) be the second derivative of -n**7/7560 - n**6/360 - n**5/40 - n**4/6 + 4*n. Let h(k) be the third derivative of t(k). Factor h(p).
-(p + 3)**2/3
Let v(k) be the second derivative of -3*k**5/20 + k**4/2 - k**3/2 + 2*k. Suppose v(y) = 0. Calculate y.
0, 1
Factor 2*f + 4*f - 1 - 10*f + f**3 + f**2 + 3*f.
(f - 1)*(f + 1)**2
Let g(q) be the first derivative of 2*q**5/9 - q**4/6 - 28*q**3/9 + 4