mine c, given that 2*c**5 + 4*c**2 - s*c**4 + c**3 - c**3 - 2*c = 0.
-1, 0, 1
Let g(n) be the second derivative of -n**8/3360 - n**7/1260 + n**6/180 + n**4/4 - 3*n. Let t(u) be the third derivative of g(u). Factor t(r).
-2*r*(r - 1)*(r + 2)
Let d be 1 + (13 - 1)/3. Suppose 4*h + d - 13 = 0. Factor -h + z**2 + 2 - z**5 + 3*z**4 - 3*z**3.
-z**2*(z - 1)**3
Let a(o) be the second derivative of 0 - o**2 - 1/4*o**3 - 8*o + 1/24*o**4. Find d such that a(d) = 0.
-1, 4
Let o(x) be the third derivative of -x**6/120 + x**5/12 - x**4/3 + 2*x**3/3 + x**2. Factor o(y).
-(y - 2)**2*(y - 1)
Let a be 9/(-6) - 5/(350/(-145)). Suppose -10/7*d + 20/7*d**3 - 8/7*d**2 + 4/7 + a*d**4 - 10/7*d**5 = 0. What is d?
-1, 2/5, 1
Factor -1/12*n**3 + 1/6*n**2 - 1/12*n + 0.
-n*(n - 1)**2/12
Let t(m) be the third derivative of 0*m**3 - 1/50*m**5 - 3*m**2 + 0 - 1/300*m**6 - 1/30*m**4 + 0*m. Factor t(g).
-2*g*(g + 1)*(g + 2)/5
Let k = 55 + -53. Find d such that -8/5 - 196/5*d**3 + 16/5*d + 18*d**k + 98/5*d**4 = 0.
-2/7, 2/7, 1
Let g(d) be the first derivative of 1/3*d**6 + 4 + 0*d**4 + 0*d**2 + 0*d + 0*d**3 - 2/5*d**5. Find y such that g(y) = 0.
0, 1
Find r, given that 4/7 + 2/7*r - 2/7*r**2 = 0.
-1, 2
Factor 2/5*h**4 + 1/5*h + 0 - 1/5*h**5 - 2/5*h**2 + 0*h**3.
-h*(h - 1)**3*(h + 1)/5
Let t(w) be the second derivative of -w**4/4 - 5*w**3/6 - w**2 - 5*w. Factor t(g).
-(g + 1)*(3*g + 2)
Suppose 5*p + 6 = 4*u + 18, 4*u = -p + 12. Factor -i**3 + 1/2*i**5 + 0 + 0*i**p + 1/2*i + 0*i**2.
i*(i - 1)**2*(i + 1)**2/2
Suppose 8 = -4*o - 4. Let g be o/6*(-11 + -1). Find l such that -11 + 3 - 2*l**4 + g + 4*l**2 = 0.
-1, 1
Find p, given that -16/7*p**2 + 0 + 4/7*p - 3/7*p**4 + 13/7*p**3 = 0.
0, 1/3, 2
Let c(w) = 2*w**2 - 11*w + 3. Let j(x) = -x**2 - 4*x + 2. Let p be j(-4). Let y(l) = -l**2 + l. Let t(b) = p*y(b) - c(b). Determine k so that t(k) = 0.
1/4, 3
Let m = 9 - 1. Factor -m*h**2 + 18*h**4 - 8*h - 4*h**3 - 38*h**3 + 40*h**2.
2*h*(h - 1)*(3*h - 2)**2
Let w = -645 - -649. What is v in 2/9 + 0*v**2 + 4/9*v**3 - 2/9*v**w - 4/9*v = 0?
-1, 1
Let k(o) be the third derivative of o**6/1440 - o**4/96 - o**3/3 + 4*o**2. Let h(b) be the first derivative of k(b). Factor h(l).
(l - 1)*(l + 1)/4
Let m be 2/(-4) - 23/(-2). Suppose 4 = t + a - 0*a, -5*t + m = -4*a. Find q such that 2/3*q**t + 10/3*q**2 - 2/3*q - 2*q**4 - 4/3 = 0.
-1, -2/3, 1
Let -3*v**2 - 12/5*v**3 - 3/5*v + 0 = 0. Calculate v.
-1, -1/4, 0
Let o(x) be the third derivative of x**6/360 - x**5/120 + 2*x**3/3 + 8*x**2. Let t(z) be the first derivative of o(z). Factor t(v).
v*(v - 1)
Let b(r) be the second derivative of -r**6/300 + 3*r**5/100 - 9*r**3/10 + 81*r**2/20 - 61*r. Suppose b(f) = 0. Calculate f.
-3, 3
Suppose -59 = -5*p - 19. Let q = p + -5. Find m such that -m**2 + 2*m**2 + 3*m**4 + m**3 - m**5 - 4*m**q = 0.
0, 1
Let a be 4 - -3*8/(-12). Let q be (9/2)/(3/a). Determine p, given that -4/7*p**2 + 4/7 - 2/7*p**q + 2/7*p = 0.
-2, -1, 1
Find q, given that -2/13*q**2 + 0*q + 0 = 0.
0
Let d(t) be the third derivative of t**6/540 + t**5/270 - t**4/54 - 4*t**2. Factor d(n).
2*n*(n - 1)*(n + 2)/9
Let u(b) be the first derivative of 4*b**3/3 + 8*b**2 + 12*b - 6. Suppose u(w) = 0. What is w?
-3, -1
Let s(t) be the first derivative of -1/4*t - 1/12*t**3 - 1 - 1/4*t**2. Factor s(f).
-(f + 1)**2/4
Let h = 431 + -20687/48. Let l(f) be the second derivative of f + 1/120*f**6 + h*f**4 - 1/40*f**5 + 0*f**3 + 0*f**2 + 0. Factor l(a).
a**2*(a - 1)**2/4
Let g be (-12)/2 - (-5 - -2). Let y(m) = m**2 + 4*m + 3. Let w be y(g). Factor w*a - 3/5 + 3/5*a**2.
3*(a - 1)*(a + 1)/5
Let o(i) be the third derivative of -1/6*i**3 - 3/8*i**4 - 1/2*i**5 + 0*i - 11/70*i**7 - 3/112*i**8 - 23/60*i**6 - 6*i**2 + 0. Factor o(d).
-(d + 1)**3*(3*d + 1)**2
Suppose 15 = 7*b - 2*b. Suppose 6*a - 4*t = 2*a, 3*t = -3*a + 12. Factor 7/2*d**b + 1 + 11/2*d + 8*d**a.
(d + 1)**2*(7*d + 2)/2
Suppose 22 - 10 = 6*s. Let r(n) be the second derivative of 1/20*n**5 + 3*n + 0 + 0*n**s - 1/12*n**4 + 1/30*n**6 - 1/6*n**3. Factor r(h).
h*(h - 1)*(h + 1)**2
Let m(o) be the first derivative of o**4/30 - 14*o**3/45 + 16*o**2/15 - 8*o/5 + 15. Find x, given that m(x) = 0.
2, 3
Let q(j) = 8*j**3 + 19*j**2 + 11*j - 5. Let f(h) = 4*h**3 + 10*h**2 + 6*h - 2. Let s(r) = 5*f(r) - 2*q(r). Factor s(t).
4*t*(t + 1)*(t + 2)
Let j(y) be the first derivative of -3*y**4/20 - y**3/5 + 3*y**2/5 + 5. Factor j(n).
-3*n*(n - 1)*(n + 2)/5
Let t = -2 + 4. Factor -1/3*n**3 - 1/6*n**4 + 1/3*n**t - 1/6 + 1/6*n**5 + 1/6*n.
(n - 1)**3*(n + 1)**2/6
Let v(o) be the first derivative of -o**2/2 + 6*o + 1. Let y be v(4). Factor 1/4*b**3 - 1/2 + 1/2*b**y - 1/4*b.
(b - 1)*(b + 1)*(b + 2)/4
Factor x + 1/3 - 4/3*x**2.
-(x - 1)*(4*x + 1)/3
Factor 120*w + 190*w**2 + 56*w**3 - 11*w**3 + 141*w + 30 - 86*w.
5*(w + 1)*(w + 3)*(9*w + 2)
Let s(q) = q**2 - 9*q + 8. Let d be s(8). Factor 0 + 2/3*j**2 + d*j - 1/3*j**3.
-j**2*(j - 2)/3
Let o be ((-20)/30)/(12/(-9)). Factor 0 - o*q**2 - 1/2*q.
-q*(q + 1)/2
Let v(m) = m**3 + m + 2. Let w be v(-1). Let t be (-62)/(-30) + (-6)/15. Suppose -2/3*s**2 + 2/3*s**4 - 5/3*s**3 + t*s**5 + w + 0*s = 0. What is s?
-1, -2/5, 0, 1
Suppose -4*x + 14 = 4*m - 5*m, 5*m = -2*x + 18. Let v(o) be the first derivative of 0*o**2 + 0*o + m - 1/6*o**3. Factor v(i).
-i**2/2
Let x be (-110)/(-140) + (-2)/4. Factor -4/7*d - 2/7*d**2 - x.
-2*(d + 1)**2/7
Let n = 30 - 29. Factor 9/4*p**4 - n + 3*p - 3*p**3 - 5/4*p**2.
(p - 1)*(p + 1)*(3*p - 2)**2/4
Let v(m) be the second derivative of m**8/336 - m**7/210 - m**6/120 + m**5/60 + m**2 + 2*m. Let s(j) be the first derivative of v(j). Factor s(z).
z**2*(z - 1)**2*(z + 1)
Let g = 2 - 7. Let n = g + 7. Find b such that b**n - 3 - 3*b**2 + 4*b**2 + 1 = 0.
-1, 1
Suppose 3 = l - 1. Suppose l*s - 1 = 11. Suppose -2*k + 2*k**5 + 3*k**2 + k**4 - 7*k**2 + s*k**4 = 0. What is k?
-1, 0, 1
Suppose -5*w + 10 = -0*w. Let y be -1 + w + 2/(-3). Let 1/3*m**3 - y*m**4 + 1/3*m**2 - 1/3*m + 0 = 0. What is m?
-1, 0, 1
Let n(c) be the second derivative of -c**6/90 + c**5/10 - 13*c**4/36 + 2*c**3/3 - 2*c**2/3 - c. Find l, given that n(l) = 0.
1, 2
Let c(n) = -n**2 - 1. Let q(m) = -7*m**2 - 6*m - 11. Let u(d) = 30*c(d) - 5*q(d). Suppose u(i) = 0. What is i?
-5, -1
Let t(s) be the first derivative of -s**4/8 + 5*s**3/12 + s**2/2 + s + 3. Let n(i) be the first derivative of t(i). Factor n(h).
-(h - 2)*(3*h + 1)/2
Suppose -u - 4 = -3*u. Factor -15*m**2 + 18*m**2 + 9*m + u + 4.
3*(m + 1)*(m + 2)
Let z = 222/13 - 46607/2730. Let r(a) be the third derivative of -a**2 + 0 + 0*a - 2/21*a**3 - 1/84*a**4 + z*a**5. Factor r(x).
2*(x - 2)*(x + 1)/7
Let l(u) be the second derivative of -4*u**7/399 - 5*u**6/57 - 27*u**5/95 - 22*u**4/57 - 8*u**3/57 - 44*u. Factor l(f).
-2*f*(f + 2)**3*(4*f + 1)/19
Find b such that 12/5*b**4 + 0*b + 21/5*b**3 + 0 - 6/5*b**2 = 0.
-2, 0, 1/4
Let f(n) be the third derivative of n**7/2520 - n**6/720 - n**4/24 - n**2. Let h(z) be the second derivative of f(z). Let h(t) = 0. What is t?
0, 1
Suppose -4*s = -3*z - 2, 3*s = -z - 2*z - 9. Let c = s - -7. Factor c*l**2 + l - l**3 - l**3 - 5*l.
-2*l*(l - 2)*(l - 1)
Let k(b) be the first derivative of -1/14*b**4 + 2/21*b**3 - 4 + 1/7*b**2 - 2/7*b. Factor k(t).
-2*(t - 1)**2*(t + 1)/7
Solve 0 + 1/3*s**3 - s**2 - 4/3*s = 0 for s.
-1, 0, 4
Let p = -26 - -48. Let d be (-4)/p + 6/33. Solve d - 2/3*a**2 - 2/3*a = 0.
-1, 0
Let j be -4 + (-8)/(-240) - 2*-2. Let n(s) be the third derivative of -j*s**5 + 0*s**3 - 1/12*s**4 - 4*s**2 + 0*s + 0. Factor n(z).
-2*z*(z + 1)
Let o(f) = 5*f**2 - 13*f + 11. Let a(x) = -19*x**2 + 51*x - 43. Let q(l) = -6*a(l) - 22*o(l). Factor q(w).
4*(w - 4)*(w - 1)
Let c(l) be the third derivative of -l**8/448 - l**7/280 + l**6/160 + l**5/80 + 2*l**2. Find u such that c(u) = 0.
-1, 0, 1
Let w be (6/8)/(399/152). Factor 0 + 0*h - 2/7*h**5 + 0*h**2 + 0*h**4 + w*h**3.
-2*h**3*(h - 1)*(h + 1)/7
Let q(j) = j**4 - 12*j**3 - 7*j**2 - 9*j. Let k(g) = 4*g**4 - 36*g**3 - 20*g**2 - 28*g. Let x(u) = 5*k(u) - 16*q(u). Determine o so that x(o) = 0.
-1, 0
Suppose v - 6 = -v. Let l(p) be the first derivative of 0*p + 4*p**v - 9/2*p**4 + 1 - p**2 + 8/5*p**5. Factor l(i).
2*i*(i - 1)**2*(4*i - 1)
Let s(o) be the second derivative of o**6/165 - o**5/55 + o**4/66 - 6*o. Factor s(f).
2*f**2*(f - 1)**2/11
Let f(r) be the third derivative of r**8/16