derivative of o**7/105 - o**6/60 - o**5/10 + 5*o**4/12 - 2*o**3/3 + o**2 - 17*o. Let i(v) be the first derivative of c(v). Factor i(n).
2*(n - 1)**3*(n + 2)
Let h = -592 + 598. Let v(f) be the first derivative of 2/13*f - h + 0*f**2 - 2/39*f**3. Find x, given that v(x) = 0.
-1, 1
Let s be ((-3)/40)/((-33)/44). Let d(k) be the second derivative of 0*k**3 + s*k**2 + 0 + 2*k - 1/60*k**4. Solve d(z) = 0.
-1, 1
Let m(d) be the third derivative of d**7/3360 + d**6/96 + 5*d**5/32 + 125*d**4/96 - 7*d**3/3 - 12*d**2. Let z(u) be the first derivative of m(u). Factor z(i).
(i + 5)**3/4
Let d(b) be the first derivative of -2*b**3/9 - 13*b**2/3 - 44*b/3 - 138. Factor d(s).
-2*(s + 2)*(s + 11)/3
Let h(o) be the second derivative of -5*o**4/36 - 245*o**3/9 - 12005*o**2/6 - 36*o + 1. Factor h(f).
-5*(f + 49)**2/3
Let m be (-4 + 7 - 6/(-4))*-2. Let b be 0 + (-15)/m + 2/6. Solve 2/5*o**b + 4/5 + 6/5*o = 0 for o.
-2, -1
Let b(u) be the second derivative of -u**5/70 - 25*u**4/21 - 32*u**3 - 1152*u**2/7 - 340*u. Factor b(f).
-2*(f + 2)*(f + 24)**2/7
Factor -1225/6 - 35/3*w - 1/6*w**2.
-(w + 35)**2/6
Let y(w) be the third derivative of -w**7/42 - w**6/12 + 2*w**5/3 - w**2. Factor y(f).
-5*f**2*(f - 2)*(f + 4)
Let n(x) be the first derivative of -243*x**5/20 + 135*x**4/8 + 227*x**3/4 - 105*x**2/2 - 147*x - 123. Solve n(j) = 0.
-1, 14/9
Let r(x) be the third derivative of -1/6*x**3 + 0 + 1/48*x**4 - 27*x**2 + 1/120*x**5 + 0*x. Factor r(b).
(b - 1)*(b + 2)/2
Let r(n) be the third derivative of -n**6/660 + n**5/55 - 32*n**3/33 - 331*n**2. Solve r(b) = 0 for b.
-2, 4
Let i(s) = s + 11. Let z be i(-6). Let n = z - 3. Factor -2*d**2 + 0*d**n + 5*d**2 - d**2 - 4*d.
2*d*(d - 2)
Suppose 2*t - t = 1, 2*t = l - 155. Let g be ((2 + 1)/(-6))/((-2)/160). Find j, given that 0*j**2 - g*j + 57 - 4*j**2 - l = 0.
-5
Factor -u**3 + 45*u - 4749 + 6*u**2 - 2*u**3 + 2374 + 2375.
-3*u*(u - 5)*(u + 3)
Let c(k) be the first derivative of 3*k**5/35 + k**4/42 - 2*k**3/7 - k**2/7 + 14*k + 2. Let y(i) be the first derivative of c(i). Factor y(n).
2*(n - 1)*(n + 1)*(6*n + 1)/7
Determine k, given that -25/4*k + 5/4*k**2 - 35/2 = 0.
-2, 7
Let w = -1267 + 1270. Let l = -791/6 - -133. Factor 0 + 7/6*h**2 - l*h**4 - 1/3*h + 1/3*h**w.
-h*(h - 1)*(h + 1)*(7*h - 2)/6
Let q(d) be the third derivative of -1/4*d**4 - 9*d**2 - 1/14*d**7 + 0*d**3 + 1/4*d**5 + 9/40*d**6 - 1/16*d**8 + 0 + 0*d. Find b such that q(b) = 0.
-1, 0, 2/7, 1
Let f = 30 + -26. Factor 2*n**f + 22*n**3 + 0*n**4 - 24*n**3.
2*n**3*(n - 1)
Let s = -22 - -25. Solve -4*f**3 - 8*f + 4 - 9 + s - 10*f**2 + 0 = 0.
-1, -1/2
Let l(i) = i**2 - i - 5. Let y(h) = -3 + 10 - 8 + 2*h - h**2 - h. Let g(p) = -2*l(p) + 2*y(p). Factor g(w).
-4*(w - 2)*(w + 1)
Let u be 6/(-4)*(-1 + (-4)/12). Let -2*k + 6*k**3 + 2*k - u*k - 4*k**3 = 0. What is k?
-1, 0, 1
Let m = 88/9 - 76/9. Let v(q) be the first derivative of -4 - 1/12*q**4 + 1/3*q**3 + 0*q**2 - m*q. Factor v(r).
-(r - 2)**2*(r + 1)/3
Let j(g) be the first derivative of 4/15*g**3 - 19 + 6/5*g**2 - 8*g. Suppose j(v) = 0. Calculate v.
-5, 2
Factor 3*g + 2166*g**3 - 33*g**4 - 2196*g**3 + 0*g**5 - 3*g - 3*g**5.
-3*g**3*(g + 1)*(g + 10)
Let d(m) = 4*m**2 + 18*m - 37. Let j(t) = -4*t**2 - 20*t + 36. Let i(x) = -4*d(x) - 3*j(x). Factor i(a).
-4*(a - 2)*(a + 5)
Let j(v) be the third derivative of v**5/70 + 5*v**4/56 - 3*v**3/14 + v**2 + 39. Factor j(q).
3*(q + 3)*(2*q - 1)/7
Let f(b) be the third derivative of b**6/60 - 3*b**5/10 + 5*b**4/4 + 25*b**3/3 - 102*b**2. Determine x so that f(x) = 0.
-1, 5
Factor -8/5*i**3 - 4/5 + 8/5*i**2 + 4/5*i - 4/5*i**4 + 4/5*i**5.
4*(i - 1)**3*(i + 1)**2/5
Let w = 29 + -15. Let x(s) be the first derivative of 8*s**2 - 5 + 12*s - 3*s**3 - w*s**2 + 4*s**3. Factor x(l).
3*(l - 2)**2
Let 0 + 0*o + 1/4*o**2 - 3/4*o**3 + 3/4*o**4 - 1/4*o**5 = 0. What is o?
0, 1
Let s(z) be the first derivative of -98*z**3/3 - 1974*z**2 - 39762*z + 547. Suppose s(i) = 0. Calculate i.
-141/7
Let u(r) be the second derivative of 0 - 1/25*r**5 + 8/5*r**2 - 5*r + 0*r**3 - 1/5*r**4. Factor u(j).
-4*(j - 1)*(j + 2)**2/5
Factor 2/17*p**4 + 12/17*p + 0 - 8/17*p**3 + 2/17*p**2.
2*p*(p - 3)*(p - 2)*(p + 1)/17
Let v(m) be the second derivative of 4*m + 1/8*m**3 - 1/80*m**5 + 0*m**4 + 0 + 1/4*m**2. Factor v(i).
-(i - 2)*(i + 1)**2/4
Let n(k) = -3*k**2 - 9*k + 6. Let p(i) = 6*i**2 + 19*i - 11. Let s(r) = 7*n(r) + 3*p(r). Determine j, given that s(j) = 0.
-3, 1
Let j be ((-10)/(-25))/((-4)/(-50)). Factor 108*u + 9*u**2 + 4 - 80*u + 63*u**2 + 52*u**4 + 88*u**3 + 12*u**j.
4*(u + 1)**4*(3*u + 1)
Let s be 6 - (0/4 + 11/((-88)/(-48))). Determine t, given that -6*t + 0 + 0*t**4 - 3/2*t**5 + 15/2*t**3 + s*t**2 = 0.
-2, -1, 0, 1, 2
Let m = 139/7 + -135/7. Let f be (-7)/(-1) + (-132)/33. Find j, given that 12/7*j**2 - 16/7*j**f - m + 10/7*j - 8/7*j**4 + 6/7*j**5 = 0.
-1, 1/3, 1, 2
Let m(h) be the third derivative of -h**6/120 - 2*h**5/15 + 7*h**4/24 - h**3/2 - 6*h**2. Let l be m(-9). Factor 3*a**3 - l - 9*a + 6*a**2 + 15.
3*a*(a - 1)*(a + 3)
Suppose -18 + 6 = -6*w. Let p be -6*(29/15 - w). Determine h, given that -3/5*h**3 - 1/5*h**4 + 1/5*h**2 + 1/5*h + p*h**5 + 0 = 0.
-1, -1/2, 0, 1
Let v(l) be the first derivative of -l**5/60 + l**4/3 - 7*l**3/6 + 21*l**2/2 - 32. Let p(c) be the second derivative of v(c). Factor p(n).
-(n - 7)*(n - 1)
Suppose 10*p**2 - 46*p**2 + 21*p**2 + 5*p**3 = 0. Calculate p.
0, 3
Let g(i) = 15*i**2 + 39*i + 11. Let n(r) = -7*r**2 - 19*r - 6. Let j(h) = 6*g(h) + 13*n(h). Factor j(v).
-(v + 1)*(v + 12)
Factor -11824/7*z**2 + 2/7*z**5 - 12*z**4 - 82944/7 + 49536/7*z + 1410/7*z**3.
2*(z - 9)**2*(z - 8)**3/7
Let a(f) be the second derivative of -f**8/2688 + f**7/504 + 5*f**6/72 + f**5/2 - 11*f**4/12 - 27*f. Let w(r) be the third derivative of a(r). Factor w(h).
-5*(h - 6)*(h + 2)**2/2
Let t(f) be the third derivative of -1/616*f**8 + 0 - 15*f**2 + 0*f**4 - 4/1155*f**7 + 0*f + 0*f**3 - 1/660*f**6 + 0*f**5. Suppose t(x) = 0. What is x?
-1, -1/3, 0
Let x = -16 - -23. Let t = 10 - x. Factor g**3 - 2*g**t + 2*g**3 - g**2.
g**2*(g - 1)
Let p = 771/2 + -1541/4. Factor 1/2*w - p*w**3 + 1/4*w**2 + 0.
-w*(w - 2)*(w + 1)/4
Let v = -21 + 41. Suppose v = -y + 11*y. Factor 2*t**3 + 1/2*t - 5/2*t**y + 0.
t*(t - 1)*(4*t - 1)/2
Suppose 0*p - 8 = -s + 2*p, -5*s + 1 = 3*p. Find v such that -8/5*v + 8/5*v**3 + 4/5*v**4 + 0 - 4/5*v**s = 0.
-2, -1, 0, 1
Let z be 0 + (-6)/10 + -1 + 2. Suppose -4*w - 5*k = -16 + 3, 3 = 4*w - 5*k. Factor z*j + 0*j**w + 0 - 4/5*j**3 + 2/5*j**5 + 0*j**4.
2*j*(j - 1)**2*(j + 1)**2/5
Factor 2/9 - 4/9*n + 2/9*n**2.
2*(n - 1)**2/9
Suppose -42 + 24 - 31 + 264*j - 3*j**3 - 27 - 107*j**2 = 0. What is j?
-38, 1/3, 2
Let j(f) = -5*f + f + 2*f - 4 + 3*f + f**2. Let g be j(2). Factor 2*a**g + 4*a**2 + 2*a**3 - 2*a - 3*a**4 - 2*a**4 - 4 + 3*a**4.
-2*(a - 2)*(a - 1)*(a + 1)**2
Solve 3*m**4 - 720*m + 207*m**2 + 24*m**3 + 84*m**3 + 822*m = 0 for m.
-34, -1, 0
Suppose 14*a = -293 + 335. Let y(n) be the second derivative of 0*n**5 + 0 - 4*n - 1/60*n**6 - 1/4*n**2 + 1/12*n**4 + 0*n**a. Factor y(i).
-(i - 1)**2*(i + 1)**2/2
Let g(s) be the third derivative of -s**7/315 - 7*s**6/180 + 14*s**5/45 - 5*s**4/9 + 464*s**2. Determine k, given that g(k) = 0.
-10, 0, 1, 2
Let h be (2 + 1540/(-726))*-6. Suppose h + 6/11*n - 2/11*n**2 = 0. Calculate n.
-1, 4
Let y be 8/(-26) + 2296/533 - 8/2. Factor -4/7*v + 6/7*v**2 + 0 + y*v**3 - 2/7*v**4.
-2*v*(v - 1)**2*(v + 2)/7
Let a(i) be the second derivative of i**7/840 - i**6/60 + i**5/10 - i**4/6 + 12*i. Let m(x) be the third derivative of a(x). Factor m(c).
3*(c - 2)**2
Let v(q) be the third derivative of -q**9/100800 - q**8/4200 - q**7/525 - 2*q**5/15 + 9*q**2. Let c(b) be the third derivative of v(b). Solve c(x) = 0.
-4, 0
Let t(i) be the second derivative of -i**9/20160 + i**7/1680 - i**5/160 - i**4 - 11*i. Let p(z) be the third derivative of t(z). Determine k so that p(k) = 0.
-1, 1
Let z = 482 - 480. Suppose -4/7*r + 2/7*r**z - 6/7 = 0. What is r?
-1, 3
Let i = 68 - 66. Factor -7*z**2 + 30*z + i*z**2 - 7 - 40*z + 2.
-5*(z + 1)**2
Suppose 0 = -4*c - 4*k + 20, 31*c - 30*c + 5*k - 17 = 0. Let 0 - 3/2*f**5 + c*f**4 + 5/2*f**3 + 0*f - f**2 = 0. What is f?
-1, 0, 1/3, 2
Let g(f) be the third derivative of -f**7/1680 - f**6/48 - 5*f**5/16 + 17*f**4/24 - 18*f**2. Let z(i) be the second 