 the second derivative of -1/60*t**4 + 0*t**2 + 0*t**3 + 0 + 1/100*t**w + 2*t. Let p(b) = 0. Calculate b.
0, 1
Let b(r) be the first derivative of -r**4 + 4*r**3/9 + 4*r**2/3 - 7. Determine d, given that b(d) = 0.
-2/3, 0, 1
Factor 0*m + 2/7 - 2/7*m**2.
-2*(m - 1)*(m + 1)/7
Let y(d) = -28*d**5 - 112*d**4 - 70*d**3 + 14*d**2 + 22*d - 22. Let o(l) = -l**5 + l**4 + l**3 - l**2 - l + 1. Let q(g) = -44*o(g) - 2*y(g). Factor q(b).
4*b**2*(b + 1)*(5*b + 2)**2
Let h = -1 + 5. Factor 2*s + 12*s**3 + 0*s**2 - 6*s**3 - 6*s**2 - 2*s**h.
-2*s*(s - 1)**3
Suppose -13 = -3*n + 2*n. Let s be (-2)/(-5) - n/(-5). Solve -3 - 3*j**2 + j**s + 1 + 3*j + 1 = 0 for j.
1
Suppose 0 = -2*h - 3*h - 65. Let c = 27/2 + h. Determine a, given that 0 - 1/2*a**4 + 1/2*a**3 - 1/2*a + c*a**2 = 0.
-1, 0, 1
Let l(h) be the second derivative of h**5/180 - h**3/18 - h**2/2 - 3*h. Let r(j) be the first derivative of l(j). Factor r(i).
(i - 1)*(i + 1)/3
Find k, given that 0 - k**2 + k**4 - 1/3*k**3 - 1/3*k**5 + 2/3*k = 0.
-1, 0, 1, 2
Let a = -7 - -12. Factor -3 + 3*i**2 - 4*i + 1 - a*i**2.
-2*(i + 1)**2
Let y(v) be the second derivative of -1/12*v**3 - 1/12*v**4 + 1/2*v**2 - 3*v + 0 + 1/40*v**5. Factor y(k).
(k - 2)*(k - 1)*(k + 1)/2
Suppose -z + 6*z = -4*s + 20, -5*s - 8 = -2*z. Let -2/5*t**2 + s*t - 6/5*t**3 + 0 - 2/5*t**5 - 6/5*t**4 = 0. What is t?
-1, 0
Determine k, given that -1/6*k**5 - 1/2*k + 1/3 - 1/3*k**2 + 2/3*k**3 + 0*k**4 = 0.
-2, -1, 1
Let r be (-9)/6*2 - 1. Let h(m) = m**5 - m**3 + m**2 - m - 1. Let g(k) = 3*k**5 - 5*k**4 - 11*k**3 + 5*k**2 + 4*k. Let i(u) = r*h(u) + g(u). Factor i(l).
-(l - 1)*(l + 1)**2*(l + 2)**2
Factor -800*a + 820*a + a**2 + a**2 + 2*a**2.
4*a*(a + 5)
Let a = 7 - 5. Factor -3*j**3 + j**a + 4*j**3 - 2*j**3.
-j**2*(j - 1)
Let r be 0 - ((-12)/(-87))/2. Let d = r - -72/203. Factor 2/7*m + 0 - d*m**2.
-2*m*(m - 1)/7
Let t = 7/24 - 1/24. Let -1/2 - t*b**2 + 3/4*b = 0. What is b?
1, 2
Let j(u) be the first derivative of -7 - 1/2*u**5 + 3/2*u**4 + 1/6*u**3 + 2*u - 3*u**2. Find r such that j(r) = 0.
-1, 2/5, 1, 2
Let o(u) = 6*u**2 + 48*u + 101. Let k(d) = 15*d**2 + 120*d + 252. Suppose -24 = -5*c + 1. Let a(j) = c*k(j) - 12*o(j). Factor a(x).
3*(x + 4)**2
Let z(f) = 7*f**3 + 10*f**2 - 11*f + 6. Let c(m) = 5*m**3 + 10*m**2 - 10*m + 5. Let a(x) = 6*c(x) - 5*z(x). Let a(u) = 0. Calculate u.
0, 1
Let z = 641/1155 + -6/11. Let s(o) be the third derivative of 0*o**3 - 1/30*o**5 + z*o**7 + 0*o**4 + 0*o + 2*o**2 + 1/168*o**8 - 1/60*o**6 + 0. Factor s(l).
2*l**2*(l - 1)*(l + 1)**2
Suppose 0 = 2*l - l + 3. Let p be ((-1)/l)/((-4)/(-60)). Suppose 0*x - x**p - 3*x + 3*x**4 - 3*x**2 + x + x**3 + 2*x**5 = 0. Calculate x.
-2, -1, 0, 1
Let s(g) be the first derivative of -g**6/24 - g**5/20 + 1. Factor s(u).
-u**4*(u + 1)/4
Suppose -2*s - 3*s = -10. Suppose 1 = -3*t - s*c, 5*t - 3*c - 17 = 13. Determine g so that 2*g**2 + 4*g - t*g - 3*g = 0.
0, 1
Let l(w) be the second derivative of w**10/136080 + w**9/34020 - w**7/5670 - w**6/3240 + w**4/4 + 2*w. Let g(n) be the third derivative of l(n). Factor g(i).
2*i*(i - 1)*(i + 1)**3/9
Let o be (-6)/(-8) + (-11)/22. Suppose -o*m**4 - 9/4*m**2 - 1/2 - 5/4*m**3 - 7/4*m = 0. What is m?
-2, -1
Let k = -891 + 895. Solve 1/2*g**3 - 1/2*g**5 + 0*g**2 + 0*g**k + 0 + 0*g = 0.
-1, 0, 1
Let d(w) be the first derivative of 5*w**3/9 + 50*w**2/3 + 500*w/3 + 30. Let d(v) = 0. What is v?
-10
Let k be -3*8/(-60)*1. Factor 0*x**2 - k + 2/5*x**4 - 4/5*x**3 + 4/5*x.
2*(x - 1)**3*(x + 1)/5
Let i(q) be the third derivative of q**7/1575 + q**6/450 - q**5/450 - q**4/90 - 14*q**2 - q. Solve i(w) = 0.
-2, -1, 0, 1
Let i = 74 - 369/5. Factor 1/5*d + i*d**3 + 0 - 2/5*d**2.
d*(d - 1)**2/5
Let y be ((-1)/(-3))/((-2)/(-12)). Factor -10*j**4 - 18*j**3 + 11*j**5 - 18*j**y - 13*j**5 + 4*j**2 - 4*j.
-2*j*(j + 1)**3*(j + 2)
Let l(c) = 2*c**3 + 14*c**2 + 20*c + 8. Let r(t) = -t**2 - t. Let w(o) = -l(o) - 4*r(o). Factor w(k).
-2*(k + 1)*(k + 2)**2
Let o(p) be the third derivative of -p**5/420 - p**4/24 - 2*p**3/7 - 21*p**2. Suppose o(h) = 0. Calculate h.
-4, -3
Let g = 32777/104788 - 22/1139. Let m = g - 1/23. Factor -1/4*j - m*j**2 + 0.
-j*(j + 1)/4
Let q = 9/4 + -2. Let c(l) be the second derivative of -1/2*l**2 + 2/3*l**3 - 2*l + 0 - q*l**4. Factor c(x).
-(x - 1)*(3*x - 1)
Let f(t) be the first derivative of -7*t**3 + 39*t**2 + 24*t - 2. Suppose f(j) = 0. Calculate j.
-2/7, 4
Let o(p) be the third derivative of p**8/1512 - p**7/945 - p**6/270 - 32*p**2. Factor o(a).
2*a**3*(a - 2)*(a + 1)/9
Let c(p) = 2*p - 27. Let f be c(15). Factor 0*t**2 - 1/3 - 1/2*t + 1/6*t**f.
(t - 2)*(t + 1)**2/6
Let q = -54 - 6. Let h be ((-4)/(-25))/((-8)/q). Solve -h*y**2 + 6/5*y - 2/5 + 2/5*y**3 = 0.
1
Let o = 66 - 236. Let a = o + 854/5. Factor -2/5*i + 0 - 2/5*i**2 + a*i**3.
2*i*(i - 1)*(2*i + 1)/5
Let o = 23/18 + 1/18. Let x(m) be the first derivative of -1/3*m**6 - m**5 + o*m**3 + 2*m**2 - 1/2*m**4 - 2 + m. Factor x(r).
-(r - 1)*(r + 1)**3*(2*r + 1)
Let n(k) be the third derivative of -k**6/270 + k**5/45 - k**4/27 + 15*k**2. Find x such that n(x) = 0.
0, 1, 2
Suppose -32 = -18*m + 2*m. Factor 1/4 + 1/4*l**m - 1/2*l.
(l - 1)**2/4
Let b(w) = 3*w**3 - 3*w**2 - 6*w + 12. Let y(m) = 3*m**3 - 3*m**2 - 5*m + 12. Let l(c) = 7*b(c) - 6*y(c). Factor l(r).
3*(r - 2)*(r - 1)*(r + 2)
Let k(x) be the first derivative of 0*x - 2/9*x**3 + 3 + 2/9*x**2 - 1/9*x**4. Factor k(i).
-2*i*(i + 2)*(2*i - 1)/9
Let l(d) = 3*d**3 - 15*d**2 + 11*d - 7. Let j(o) = o**3 + o - 1. Let b(t) = 14*j(t) - 2*l(t). Factor b(u).
2*u*(u + 4)*(4*u - 1)
Let q be (-3)/(-1) + (-5)/(-35). Let o = q - 20/7. Suppose 0*r**2 + 0 + o*r**3 - 2/7*r = 0. Calculate r.
-1, 0, 1
Let w(m) = -4*m**2 - 2*m + 2. Let h(b) = 0*b + 2 - 5*b**2 + 0*b - 3*b. Let d be (-3)/(12/(-20)) + -1. Let i(q) = d*w(q) - 3*h(q). Factor i(r).
-(r - 2)*(r + 1)
Let k(w) be the third derivative of -1/240*w**5 + 0 - 4*w**2 - 1/48*w**4 - 1/24*w**3 + 0*w. Determine b, given that k(b) = 0.
-1
Let 0 + 3*r**2 + 12*r - 3 + 15 = 0. Calculate r.
-2
Let c(l) be the third derivative of l**7/525 - l**6/100 + l**5/50 - l**4/60 - 6*l**2. Find s such that c(s) = 0.
0, 1
Let c(q) = -q. Let n be c(-4). Let g(d) = -7*d**2 + 3*d + 5. Let s(i) = 6*i**2 - 2*i - 4. Let v(j) = n*g(j) + 5*s(j). Factor v(x).
2*x*(x + 1)
Let d = 23 - 17. Let j(s) be the first derivative of 1 + 1/3*s**2 + 2/15*s**5 - 4/9*s**3 + 1/9*s**d - 1/3*s**4 + 2/3*s. Factor j(g).
2*(g - 1)**2*(g + 1)**3/3
Let x be 2/(-10) - (-66)/30. Factor x*t**2 + 4*t - 3 + 2 + 3.
2*(t + 1)**2
Factor -64/9*d - 1/9*d**3 + 0 + 16/9*d**2.
-d*(d - 8)**2/9
Let j = 6 + -12. Let c = -4 - j. Let -3*g**2 - 2*g**2 + 2 + 2 + 7*g**c + 6*g = 0. Calculate g.
-2, -1
Let h(z) be the first derivative of -4*z**5/5 + 5*z**4 - 16*z**3/3 + 70. Suppose h(j) = 0. Calculate j.
0, 1, 4
Let n be (21/28)/((-1)/(-4)). Suppose n*b + 3*u + 3 = 0, 0 = -2*b - 0*u + 5*u + 19. Solve -4/7 - b*s**3 + 2*s - 6/7*s**2 + 10/7*s**4 = 0.
-1, 2/5, 1
Let d(w) be the third derivative of -w**6/360 - 4*w**2. Find q such that d(q) = 0.
0
Let h(o) = -o + 1. Let k(q) be the second derivative of -q**4/12 - 5*q**3/3 + 13*q**2/2 - q. Let l(t) = -22*h(t) + 2*k(t). Factor l(d).
-2*(d - 2)*(d + 1)
Suppose -8/3*u + 8/3*u**3 + 1/3*u**2 - 1/3 = 0. What is u?
-1, -1/8, 1
Suppose 0 = 4*f + 5 - 25, -5*t = 4*f - 35. Factor 0*x + 0 + 1/2*x**t - x**2.
x**2*(x - 2)/2
Let j be 3/(6/4) + -1. Let x = 2 - 0. What is r in j + 2*r - r**2 - x*r = 0?
-1, 1
Suppose -2*b + 8 - 2 = z, 3*z + 3*b - 9 = 0. Find c, given that z*c**3 + 2/5*c**4 - 2/5*c**2 + 0 + 1/5*c**5 - 1/5*c = 0.
-1, 0, 1
Let h(i) be the third derivative of -i**9/90720 - i**8/10080 - i**7/2520 - i**6/1080 - i**5/20 - 2*i**2. Let z(k) be the third derivative of h(k). Factor z(x).
-2*(x + 1)**3/3
Suppose -2*h = 2*t - 4, -5*t + 0 = -2*h - 10. Factor 1/3*f**2 + h - 1/3*f**4 - 1/3*f**5 + 1/3*f**3 + 0*f.
-f**2*(f - 1)*(f + 1)**2/3
Let k(c) be the third derivative of c**9/453600 + c**8/151200 - c**7/18900 + c**5/20 - 3*c**2. Let l(s) be the third derivative of k(s). Factor l(x).
2*x*(x - 1)*(x + 2)/15
Let l(n) be the second derivative of -3*n**6/50 + 21*n**5/100 - 3*n**4/20 - 3*n**3/10 + 3*n**2/5 - 7*n. Factor l(p).
-3*(p - 1)**3*(3*p + 2)/5
Let u(p) = -p**3 + 3*p**2 - 2*p - 1. Let b be u(2). Let t be b/2*14/(-21). Factor 1/3*z**5 - z - t + 2/3*z**3 