erivative of -x**8/1344 + x**6/48 + x**5/12 - 3*x**4/4 - 6*x. Let n(v) be the third derivative of c(v). Factor n(m).
-5*(m - 2)*(m + 1)**2
Let h = 16856 - 286542/17. Factor -6/17*f**2 - 18/17*f + 2/17*f**3 - h.
2*(f - 5)*(f + 1)**2/17
Let q = 4588/3 - 1528. Factor 0*i + q*i**2 + 0.
4*i**2/3
Let q = -17 + 12. Let s(p) = p**2 + 17*p. Let h(n) = 16*n. Let c(r) = q*h(r) + 4*s(r). Suppose c(d) = 0. Calculate d.
0, 3
Let n(h) be the first derivative of -22 + 0*h**3 + 1/10*h**5 + 1/12*h**6 + 0*h + 0*h**2 - 1/4*h**4. Factor n(o).
o**3*(o - 1)*(o + 2)/2
Let y = -14 + 39. Factor 7*z**2 - 19*z**2 + 6*z + 4*z**2 + 27*z**3 - y*z**2.
3*z*(z - 1)*(9*z - 2)
Let k be 3/(-6) + (-40)/(-16) + 0. Let l(t) be the first derivative of 0*t**5 + 2/3*t**3 + 1/6*t**6 + 2 - 3/4*t**4 + 0*t + 0*t**k. Factor l(z).
z**2*(z - 1)**2*(z + 2)
Solve -951*l**4 + 6*l + 2*l**3 - 9*l**2 - 6*l**2 + 10*l**3 + 948*l**4 = 0.
0, 1, 2
Factor 1/4*w**2 - 17/4 - 4*w.
(w - 17)*(w + 1)/4
Let q(i) = i**3 - 5*i. Let y(p) = -3*p**2 - 2*p**3 + 3*p**2 - 7*p + 16*p. Let n(u) = -7*q(u) - 4*y(u). Factor n(z).
z*(z - 1)*(z + 1)
Let h(t) = -t**3 - 3*t**2 - 25*t - 75. Let v be h(-3). Factor -2*p**2 + 0 + v*p + 2/3*p**3.
2*p**2*(p - 3)/3
Let n(c) be the first derivative of -c**3/24 + 5*c**2/4 - 25*c/2 + 53. Factor n(l).
-(l - 10)**2/8
Let a = 18238/3 - 6078. Factor -4/3 - 1/3*d**2 - a*d.
-(d + 2)**2/3
Let z(h) be the third derivative of h**5/40 - h**3/4 + 80*h**2. Determine n, given that z(n) = 0.
-1, 1
Let s(a) be the second derivative of 0*a**2 + 0 + 1/36*a**4 - 43*a + 1/2*a**3. Determine b so that s(b) = 0.
-9, 0
Let w = -27 + 31. Factor -8*q**4 + 0*q**2 - 2*q**2 + 10*q**w.
2*q**2*(q - 1)*(q + 1)
Factor -10*i**3 - 4 + 2*i**5 - 64*i**2 - 6 + 2 + 2*i**4 + 0*i**5 + 62*i**2 + 16*i.
2*(i - 1)**3*(i + 2)**2
Let x(g) = -4*g**3 - g**2 + 10*g + 2. Let w(v) be the second derivative of -3*v**5/20 + 3*v**3/2 + v**2 + v. Let f(a) = 5*w(a) - 4*x(a). Factor f(u).
(u + 1)**2*(u + 2)
Suppose -208 + 183 = -5*o. Let s(n) be the second derivative of -1/135*n**6 + 0*n**2 + 0*n**3 + n + 0 - 1/45*n**o - 1/54*n**4. Factor s(r).
-2*r**2*(r + 1)**2/9
Let o(g) = -53*g - 262. Let v be o(-5). Let n(i) be the third derivative of -i**v + 0*i - 1/20*i**5 + 0 - 6*i**2 - 3/8*i**4. Factor n(w).
-3*(w + 1)*(w + 2)
Let c(z) be the second derivative of -z**6/25 + 17*z**5/50 - 7*z**4/10 - 3*z**3/5 + 135*z + 2. Suppose c(w) = 0. Calculate w.
-1/3, 0, 3
Let r(a) be the second derivative of -9*a**5/35 - 25*a**4/7 - 374*a**3/21 - 242*a**2/7 + 25*a. Let r(s) = 0. What is s?
-11/3, -1
Let w be (-4 - -5)*((-6)/(-18) + 55/105). Let w + 3/7*o**2 - 9/7*o = 0. Calculate o.
1, 2
Let p(q) be the second derivative of q**7/1680 - q**6/720 - q**5/120 - 8*q**3/3 - 14*q. Let h(l) be the second derivative of p(l). Suppose h(u) = 0. What is u?
-1, 0, 2
Let m(l) = 2*l**5 + 26*l**4 - 8*l**3 - 50*l**2 + 12*l + 42. Let j(i) = i**5 + i**4 + i**2 + 1. Let k(q) = 6*j(q) - m(q). Find p such that k(p) = 0.
-1, 1, 3
Let a = 550/141 - 105/47. Determine o so that -1/3*o + a*o**2 + 1/3*o**3 - 5/3 = 0.
-5, -1, 1
Let h(f) be the second derivative of f**6/2520 - f**5/210 + f**4/56 + f**3 - 12*f. Let j(b) be the second derivative of h(b). Factor j(i).
(i - 3)*(i - 1)/7
Factor -3/11*l**2 - 8/11*l + 2/11*l**3 - 3/11.
(l - 3)*(l + 1)*(2*l + 1)/11
Let n = -229 - -233. Suppose 20*a - n*a - 32 = 0. Factor 12/7*j**4 + 0*j**a + 3/7*j**5 + 0*j + 12/7*j**3 + 0.
3*j**3*(j + 2)**2/7
Suppose -31 = -7*f - 10. Suppose 10*s**f + 6*s**4 - 2*s**2 - 7*s**4 - 13*s**3 = 0. What is s?
-2, -1, 0
Let c(z) be the second derivative of z**8/144 - 2*z**7/105 + z**6/120 + z**5/90 + 3*z**2/2 - z. Let k(r) be the first derivative of c(r). Solve k(i) = 0 for i.
-2/7, 0, 1
Suppose 5*x + 20 = -5*g, 0*g + g + 6 = -3*x. Let b be x - -1 - 15/70*-2. Factor 0 + b*c**3 + 0*c + 0*c**2 + 3/7*c**4.
3*c**3*(c + 1)/7
Factor -2/5*d**3 - 58/5*d + 4*d**2 + 8.
-2*(d - 5)*(d - 4)*(d - 1)/5
Suppose 2/5*m**3 + 0*m + 0 - 2/5*m**4 + 4/5*m**2 = 0. What is m?
-1, 0, 2
Determine d, given that 25*d**3 + 21*d**3 + 6*d**2 + 8 - 44*d**3 - 2*d**2 - 14*d = 0.
-4, 1
Factor 216/5 - 1/5*d**3 + 18/5*d**2 - 108/5*d.
-(d - 6)**3/5
Let i(p) be the third derivative of 2*p**7/245 - 71*p**6/420 + 53*p**5/210 + 23*p**4/84 - 11*p**3/21 - 3*p**2 - 56*p. Solve i(a) = 0 for a.
-1/2, 1/3, 1, 11
Let j = -311/3 - -105. Suppose 2*u + 10 = 7*u. Factor j*t**3 + 4/3 - 1/3*t**4 - 4/3*t - t**u.
-(t - 2)**2*(t - 1)*(t + 1)/3
Let h(c) = 5*c**2 + 6*c + 1. Let b = -37 + 43. Let n(s) = 4*s**2 + 5*s + 1. Let k(m) = b*n(m) - 5*h(m). Factor k(u).
-(u - 1)*(u + 1)
Let p(g) = -g**3 - 11*g**2 + 3*g + 39. Let c be p(-11). Factor -5*a**2 - 4*a**2 - 24*a - c*a**2 - 12 - 3*a**3.
-3*(a + 1)*(a + 2)**2
Factor -2 - 2 + 4 - 245*f - 8*f**2 + 3*f**2.
-5*f*(f + 49)
Let d be ((-4)/(6 - 4))/((-1)/(-1)). Let s(w) = w**2 + w. Let o(j) = 8*j**2 + 10*j + 2. Let p(x) = d*o(x) + 18*s(x). What is i in p(i) = 0?
-1, 2
Suppose -5*w = 2*b - 13, 0*w - 26 = -3*b - w. Suppose -3*y + 0*y - 3*g = b, -5*y = 3*g + 5. Find c, given that 2/5*c**y + 4/5*c - 2/5*c**3 + 0 = 0.
-1, 0, 2
Suppose 0 + 1452*f + 1/3*f**3 + 44*f**2 = 0. What is f?
-66, 0
Determine o, given that 1/4*o**3 - 19/2*o + 17/4*o**2 + 0 = 0.
-19, 0, 2
Let r be 34/9 + (-2)/(-9). Suppose 0 = r*o - 0*o + 4*o. Factor 0*x + o + 1/4*x**2 + 1/4*x**3.
x**2*(x + 1)/4
Let k(h) be the second derivative of -3*h**5/20 - 3*h**4/4 - h**3 - 4*h - 7. Factor k(r).
-3*r*(r + 1)*(r + 2)
Let i = -111 - -132. Solve -46*y - 2*y**3 - 12 + 63*y**2 + 70*y - i*y**4 + 8*y**3 = 0.
-1, 2/7, 2
Suppose 9*t = 13*t - 8. Suppose -4*l + 28 = g + g, -3*g = t*l - 22. Find m such that -4/5*m**3 - 8/5 + 12/5*m**2 + 4/5*m - 4/5*m**g = 0.
-2, -1, 1
Let l(z) be the third derivative of z**7/21 + z**6/20 - z**5/15 + 115*z**2. Suppose l(q) = 0. What is q?
-1, 0, 2/5
Let p(v) = -v**2 + v - 1. Suppose -o + 5 = 4. Let l(s) = 29*s**2 - 19*s - 16. Let k(q) = o*l(q) - 6*p(q). Find x such that k(x) = 0.
-2/7, 1
Find d, given that 26/11*d + 2/11*d**2 + 80/11 = 0.
-8, -5
Determine l, given that 4/3*l**3 + 4/3*l**2 - 2/3*l**4 - 2/3*l**5 - 2/3*l - 2/3 = 0.
-1, 1
Let x(k) = -3*k**2 + 30*k + 3. Let n(y) = 1. Let t(o) = 3*n(o) - x(o). Find a, given that t(a) = 0.
0, 10
Let a be -5 - 8/((-16)/18). Let n(r) be the first derivative of -r**3 - a - 1/12*r**4 - 9*r - 9/2*r**2. Factor n(w).
-(w + 3)**3/3
Let k(o) be the second derivative of o**5/450 - o**4/90 + o**3/45 + 13*o**2/2 + 21*o. Let j(x) be the first derivative of k(x). Let j(f) = 0. Calculate f.
1
Factor -11/5*s**2 + 34/5*s + 1/5*s**3 - 24/5.
(s - 6)*(s - 4)*(s - 1)/5
Factor -2*o**2 + 412771 - 86*o - 412771.
-2*o*(o + 43)
Let o(t) = t**2 + 9*t - 4. Let h be o(-10). Suppose 11 = -h*i + 23. Factor 2/3*g**i + 8/3*g + 2.
2*(g + 1)*(g + 3)/3
Let v = -156 + 156. Suppose v = 5*u - 61 + 26. Determine r, given that 11/2*r - 2*r**3 - u*r**2 - 7/2*r**5 + 8*r**4 - 1 = 0.
-1, 2/7, 1
Let q(f) be the second derivative of -f**5/60 + 67*f**4/36 - 385*f**3/6 + 363*f**2/2 + 650*f. Find p such that q(p) = 0.
1, 33
Let r(k) be the third derivative of k**6/240 + k**5/40 - 11*k**4/24 - 2*k**3 - 1079*k**2. Solve r(p) = 0 for p.
-6, -1, 4
Let u(r) be the first derivative of -100*r**3/3 - 246*r**2 + 40*r - 56. Factor u(z).
-4*(z + 5)*(25*z - 2)
Suppose 0 = 16*n - 10*n - 30. Suppose 3*f + 0 = -2*h - 2, 0 = 4*h + n*f + 2. Determine r so that -12/7*r + 8/7 + 4/7*r**h = 0.
1, 2
Let w be (-302)/(-20) + 4 + (-12)/3. Let t = w - 63/5. Factor 5/2 - 5*y + t*y**2.
5*(y - 1)**2/2
Let b(f) be the first derivative of f**4/30 + 34*f**3/45 - f**2/15 - 34*f/15 - 102. Factor b(o).
2*(o - 1)*(o + 1)*(o + 17)/15
Let p(i) be the third derivative of i**7/525 - i**6/150 - 2*i**5/75 + 2*i**4/15 - 6*i**2 - 9*i. Let p(s) = 0. Calculate s.
-2, 0, 2
Let u(o) = -o**3 - 6*o**2 - 7*o - 7. Let y be u(-5). Factor 2 + 6*c**3 - 2*c**2 - 6*c + 0*c**y + 4*c - 4*c**3.
2*(c - 1)**2*(c + 1)
Let t(h) be the third derivative of -h**8/2352 - h**7/245 + h**6/56 - 2*h**5/105 + h**2 - 77*h. Find f such that t(f) = 0.
-8, 0, 1
Let w(f) be the third derivative of 7*f**2 + 0*f - 2/3*f**3 + 0 + 0*f**4 + 2/15*f**5 - 2/105*f**7 + 0*f**6. Factor w(s).
-4*(s - 1)**2*(s + 1)**2
Let f(z) be the second derivative of -z**9/1512 - z**8/420 + z**6/90 + z**5/60 + 8*z**3/3 - 17*z. Let n(m) be the second derivative of f(m). Fac