 - 1/5*l**6 + 4*l**a. Factor y(k).
-4*(k - 1)**2*(k + 4)**2
Let m = -30058/4043 + 2360/311. Factor m*v**2 - 28/13 + 10/13*v.
2*(v - 2)*(v + 7)/13
Let f(i) be the first derivative of 5*i**3/3 + 8775*i**2/4 + 6570*i - 4788. Factor f(h).
5*(h + 876)*(2*h + 3)/2
Let a(n) be the second derivative of n**5/160 - 41*n**4/96 - 85*n**3/48 - 43*n**2/16 - 1635*n. Solve a(s) = 0 for s.
-1, 43
Let u(p) be the third derivative of 0 - 23*p**2 - 1/90*p**6 - 3/10*p**5 + 0*p**4 + 0*p + 4*p**3. Let o(k) be the first derivative of u(k). Factor o(j).
-4*j*(j + 9)
Suppose -13*f - 4 + 56 = 0. Let y(z) be the second derivative of 13*z + 0 + 1/130*z**5 + 0*z**2 + 2/39*z**f + 0*z**3. Factor y(n).
2*n**2*(n + 4)/13
Let v(z) = 15*z**3 + 215*z**2 - 650*z + 400. Let c(d) = -d**3 + 2*d. Let w(k) = -20*c(k) - v(k). Factor w(h).
5*(h - 40)*(h - 2)*(h - 1)
Let x(y) be the first derivative of y**6/6 - 4*y**5 + 57*y**4/2 - 36*y**3 - 243*y**2/2 + 3738. Factor x(r).
r*(r - 9)**2*(r - 3)*(r + 1)
Suppose 2*d + 4*s - 12 = 0, -5*d - 5 + 21 = -4*s. Factor -110*a**2 + 5*a**d + 110*a**2.
5*a**4
Factor 13*r - 1/2*r**4 - 41/2*r**2 + 8*r**3 + 0.
-r*(r - 13)*(r - 2)*(r - 1)/2
Let u(j) = -578*j**2 + 277*j - 42. Suppose 0 = 60*x - 56*x + 20. Let y(v) = -1734*v**2 + 832*v - 128. Let f(g) = x*y(g) + 16*u(g). Find t such that f(t) = 0.
4/17
Factor -114*y**2 - 344/9 - 1030/9*y - 338/9*y**3 + 2/9*y**4.
2*(y - 172)*(y + 1)**3/9
Let v(a) be the second derivative of a**7/14 - 2*a**6/5 - 39*a**5/5 - 43*a**4/2 + 51*a**3/2 + 135*a**2 - 989*a. Suppose v(c) = 0. Calculate c.
-3, -1, 1, 10
Let l(o) = 3*o**2 - 3 + 3*o - 7*o**2 + 3*o**2 + 4*o. Let r be l(6). Find b such that 4*b**4 + 25*b**5 - b**r - 22*b**5 + 2*b**2 - 4*b**2 = 0.
-1, 0, 2/3
Let n(s) be the first derivative of -4/3*s**3 + 0*s - 49 + 4/5*s**5 + 2*s**4 - 4*s**2. Factor n(f).
4*f*(f - 1)*(f + 1)*(f + 2)
Let t(w) be the third derivative of w**6/420 + 29*w**5/210 + 55*w**4/84 + 9*w**3/7 - 54*w**2 - 2. Find k, given that t(k) = 0.
-27, -1
Factor -3/7*x**4 - 192/7*x**2 + 0*x - 60/7*x**3 + 0.
-3*x**2*(x + 4)*(x + 16)/7
Let l(o) be the first derivative of o**8/560 + o**7/70 - o**6/60 - 3*o**5/10 + 9*o**4/8 + 10*o**3/3 + 56. Let n(d) be the third derivative of l(d). Factor n(p).
3*(p - 1)**2*(p + 3)**2
Find m such that -1/2*m - 1/2*m**2 + 136 = 0.
-17, 16
Let u be 8 - 38 - (-5175)/150. Factor -u*y**3 + 25 + 45*y + 61/4*y**2 + 1/4*y**4.
(y - 10)**2*(y + 1)**2/4
Let f be (114/(-95))/(2/(-25)). Suppose -n + 22 = 4*j, -3*n - 4*j = -f - 19. Suppose -k**2 - n*k**2 + 6*k**2 + k + 6 = 0. What is k?
-2, 3
Let z = -3791 + 3797. Let c(j) be the second derivative of 54*j**2 + 1/4*j**4 + 11*j - z*j**3 + 0. Determine n, given that c(n) = 0.
6
Factor 1/2*g**2 - 42*g + 82.
(g - 82)*(g - 2)/2
Let b(u) = 51*u**3 - 89*u**2 - 7*u - 20. Let g be b(2). Let -72/5*r - 4 - g*r**3 - 11/5*r**4 + 193/5*r**2 = 0. Calculate r.
-10, -2/11, 1
Let b(a) be the second derivative of a**5/60 - 17*a**4/12 + 11*a**3/2 + 51*a**2 - a + 9. Let w(c) be the first derivative of b(c). Factor w(m).
(m - 33)*(m - 1)
Let u(a) be the second derivative of -32/3*a**3 + 3/10*a**5 - 163*a + 12*a**2 + 0 - 13/6*a**4. Determine w, given that u(w) = 0.
-2, 1/3, 6
Let f(g) be the second derivative of -21*g**5/50 + 47*g**4/10 + 14*g**3 + 48*g**2/5 + 7*g - 32. Find t, given that f(t) = 0.
-1, -2/7, 8
Let a be 2 + 11 - 3485/425. Find t such that 1/5*t**2 - t - a = 0.
-3, 8
Let -32114*o**2 - 1895 + 4045*o + 907 - 3052 + 32109*o**2 = 0. What is o?
1, 808
Let a(d) be the third derivative of 2*d**7/105 - 29*d**6/15 - 121*d**5/15 + 29*d**4/3 + 80*d**3 - 1090*d**2. Find q, given that a(q) = 0.
-2, -1, 1, 60
Let v be ((-10 - 154/33) + 15)*0. Suppose -8/19*h + 2/19*h**2 + v = 0. Calculate h.
0, 4
Suppose -7*b - 95520 = -95562. Let t(r) be the first derivative of 63/10*r**5 + 9/4*r**6 + 2*r**3 + 0*r**2 + b*r**4 + 0*r + 12. Suppose t(n) = 0. What is n?
-1, -2/3, 0
Let f(w) be the third derivative of -3*w**5/4 - 985*w**4/2 - 388090*w**3/3 - 2355*w**2. Factor f(z).
-5*(3*z + 394)**2
Let h = -205 + 203. Let o be (-16)/((-8)/h) + 4. What is a in -1/2*a**3 - 1/2*a**2 + 0 + o*a = 0?
-1, 0
Let m = 29 - 31. Let d be (0 + -1)*(0 - m) + 4. Solve 15*s**4 - 13*s - 16*s**2 - 11*s**d + 12 - 11*s + 24*s**3 = 0 for s.
-2, -1, 2/5, 1
Factor -359 - 21*p + 80523*p**2 + 162*p - 80526*p**2 + 89.
-3*(p - 45)*(p - 2)
Let w(r) be the third derivative of -r**6/120 + 43*r**5/180 + 43*r**4/12 + 76*r**3/9 - 119*r**2 - 10. Factor w(l).
-(l - 19)*(l + 4)*(3*l + 2)/3
Let m be ((-3)/(-7))/((-26)/(6188/(-51))). Let j(k) be the first derivative of 3/2*k**m - 3*k**3 - 28 + 3/2*k**4 + 0*k. Determine n so that j(n) = 0.
0, 1/2, 1
Let z(i) be the third derivative of -i**6/60 + 11*i**5/30 - 3*i**4 + 12*i**3 + i**2 + 2*i + 18. Determine d so that z(d) = 0.
2, 3, 6
Determine f so that 1136/7*f**2 + 2/7*f**4 - 960*f + 2016 - 80/7*f**3 = 0.
6, 14
Let d be (988/(-420) + 168/70)*(-18)/(-1). Find w such that -d*w**3 + 0*w**2 + 0 - 2/7*w**4 + 8/7*w = 0.
-2, 0, 1
Let y(n) be the third derivative of n**5/15 - 253*n**4/6 + 168*n**3 + 36*n**2 + 40. Factor y(l).
4*(l - 252)*(l - 1)
Let f(z) be the second derivative of 117*z + 76/15*z**3 - 5*z**2 - 13/5*z**4 - 1/75*z**6 + 0 + 14/25*z**5. Factor f(n).
-2*(n - 25)*(n - 1)**3/5
Let o(p) = 72*p**2 + 138*p - 912. Let i(l) = 15*l**2. Let n(j) = -5*i(j) + o(j). Suppose n(x) = 0. Calculate x.
8, 38
Suppose -3*p + 33 = -4*k + 2, -4*k - 2*p - 26 = 0. Let c(b) = 14*b**2 + 80*b + 794. Let u(w) = 16*w**2 + 80*w + 793. Let q(r) = k*c(r) + 6*u(r). Factor q(t).
-2*(t + 20)**2
Let j = -234436 - -234438. Let -3/4*u**3 - 6 - 3/2*u + 15/4*u**j = 0. What is u?
-1, 2, 4
Let j(b) be the first derivative of -60 - 1/3*b**3 + 1/20*b**5 + 0*b + 1/24*b**6 - 3/8*b**4 + b**2. What is w in j(w) = 0?
-2, 0, 1, 2
Suppose 869 = 375*u - 631. Let a(q) be the second derivative of -1/63*q**7 - 1/45*q**6 + 1/30*q**5 + 0*q**3 + 1/18*q**u + 0*q**2 + 0 + 8*q. Factor a(h).
-2*h**2*(h - 1)*(h + 1)**2/3
Let c(u) be the second derivative of -u**6/60 + u**5/10 + u**4/8 - 3*u**3/2 + 536*u. What is l in c(l) = 0?
-2, 0, 3
Let j be 1/((-156)/80 - -2). Factor j - 2*b**3 + b**3 - 17*b**2 + 3*b**3 + 5*b**2 + 6*b.
2*(b - 5)*(b - 2)*(b + 1)
Let r(a) = 3*a**4 + 96*a**3 - 549*a**2 + 555*a + 1200. Let o(f) = -14*f**4 - 384*f**3 + 2196*f**2 - 2221*f - 4800. Let d(t) = 3*o(t) + 13*r(t). Factor d(v).
-3*(v - 25)*(v - 4)**2*(v + 1)
Let d(m) = 2*m**5 + 12*m**4 + 11*m**3 - 9*m**2 - 7*m + 6. Let i(z) = -z**5 - 12*z**4 - 12*z**3 + 10*z**2 + 9*z - 4. Let g(t) = -2*d(t) - 3*i(t). Factor g(q).
-q*(q - 13)*(q - 1)*(q + 1)**2
Let n be (-49112)/(-43680) - (-1)/4. Let q = n + 40/39. What is y in -12/5*y + 3/5*y**2 + q = 0?
2
Let n be 2 + ((6 - 4)/6 - (0 + 0)). Let d(v) be the third derivative of -n*v**3 - 3*v**2 + 0*v - 1/210*v**5 - 1/6*v**4 + 0. Factor d(f).
-2*(f + 7)**2/7
Let d(m) be the second derivative of 5*m**4/12 + 65*m**3/3 - 3655*m**2/2 - 261*m - 8. Factor d(v).
5*(v - 17)*(v + 43)
Let u(f) be the second derivative of -5/6*f**4 - 1/21*f**7 + 1 + 3/10*f**5 + 2/3*f**3 + 1/15*f**6 + 0*f**2 + 11*f. Factor u(d).
-2*d*(d - 1)**3*(d + 2)
Let f be ((-163)/3)/((-1)/24). Solve -2600*d**4 - 216*d + 4640*d**3 + f*d - 128 - 3392*d**2 + 214*d**5 + 286*d**5 = 0 for d.
2/5, 2
Factor -451/2*h**3 - 3306145/2*h + 1/2*h**4 - 3442951 + 67497/2*h**2.
(h - 151)**3*(h + 2)/2
Let w = -1174057/5 + 234812. Let -108/5*r + w*r**2 + 972/5 = 0. Calculate r.
18
Let z(n) be the third derivative of n**7/840 - n**6/5 + 72*n**5/5 + 33*n**4/4 + n**2 - 70. Let h(x) be the second derivative of z(x). Factor h(c).
3*(c - 24)**2
Let k(y) = y**4 - y**3 + 3*y + 1. Let t(c) = 2*c**4 + 133*c**3 + 1530*c**2 - 3471*c - 103174. Let v(q) = k(q) + t(q). Factor v(l).
3*(l - 7)*(l + 17)**3
Let g(t) be the first derivative of -t**6/40 + 17*t**5/10 - 289*t**4/8 - t**2/2 - 3*t + 26. Let m(h) be the second derivative of g(h). Factor m(v).
-3*v*(v - 17)**2
Let y(s) be the third derivative of -s**7/315 + 49*s**6/720 - 11*s**5/20 + 83*s**4/36 - 50*s**3/9 - 18*s**2 + 2. Factor y(a).
-(a - 2)**3*(4*a - 25)/6
Let s(v) = v**3 + 16*v**2 + 17*v + 19. Let r be s(-12). Suppose -385*h = -r*h. Suppose h + g + 4/5*g**2 - 1/5*g**3 = 0. What is g?
-1, 0, 5
Let 0 - 14/13*z**3 - 18/13*z**5 - 48/13*z**4 + 8/13*z + 24/13*z**2 = 0. What is z?
-2, -1, -1/3, 0,