*2/2 + 47*q. Let y(r) be the second derivative of h(r). Solve y(k) = 0 for k.
-2/5, 0
Let x(u) be the first derivative of -1/30*u**4 + 13*u - 1/50*u**5 + 0*u**2 + 0*u**3 - 8. Let t(i) be the first derivative of x(i). Factor t(g).
-2*g**2*(g + 1)/5
Let f = 18240/13 - 36285/26. Find g, given that -f + 1/4*g**3 - 19/4*g + 0*g**2 = 0.
-3, -2, 5
Factor 1703*m - 1975*m**2 + 4680 - 3421*m + 17363*m + 15125*m**2 + 119*m**3 + 6*m**3.
5*(m + 104)*(5*m + 3)**2
Let r = -90477/2 + 45250. Let s be 48/32 + (2 - 0). Suppose s*n**3 + 1/2*n**5 - 7/2*n**4 - 8 + r*n**2 - 4*n = 0. Calculate n.
-1, 1, 4
Let m(c) be the second derivative of 122*c + 0 + 29/80*c**5 + 3/4*c**2 - 1/15*c**6 + 1/24*c**3 - 7/12*c**4. Suppose m(h) = 0. Calculate h.
-3/8, 1, 2
Solve -49/6*f**2 - 21*f - 27/2 = 0.
-9/7
Let m(b) = -6*b**3 + 2*b + 1. Let c be m(2). Let o = 45 + c. Let -30*r**2 + 8 - 8*r - r + 62*r**2 - 31*r**o = 0. Calculate r.
1, 8
Let b = -310572 - -2169015/7. Let s = b + 713. Factor -6/7*p**3 + 6/7*p - 4/7 + 2/7*p**2 + s*p**4.
2*(p - 2)*(p - 1)**2*(p + 1)/7
Let z be (1692/(-9588))/((-3)/51). Suppose 0*y**2 + 2/3*y + 1/3*y**4 - 2/3*y**z - 1/3 = 0. What is y?
-1, 1
Let r(g) be the second derivative of g**10/105840 - g**9/17640 + g**7/2205 + 23*g**4/12 + g**3/6 - 46*g. Let c(p) be the third derivative of r(p). Factor c(x).
2*x**2*(x - 2)**2*(x + 1)/7
Let n(b) = -75*b**2 + 242730*b + 268382455. Let g(l) = -7*l**2 + 22066*l + 24398405. Let y(d) = -65*g(d) + 6*n(d). Factor y(f).
5*(f + 2209)**2
Let f be -2*(-1)/6*7959/379 + (-5)/1. Factor 0 + 2/9*i**f + 70/9*i.
2*i*(i + 35)/9
Let o(a) be the second derivative of -a**6/30 - 73*a**5/20 - 71*a**4/12 + 73*a**3/6 + 36*a**2 + 20*a + 4. Solve o(f) = 0.
-72, -1, 1
Let o be (-8 - -13)/((2/(-25))/(-2)). Suppose o - 197 = -24*z. Determine t so that -2*t**2 + 2/3*t + 2/3*t**4 - 2/3*t**z + 4/3 = 0.
-1, 1, 2
Let k = -33/545 + 142/545. Solve 0*f - k*f**5 + 0 - 2/5*f**4 + 0*f**2 + 0*f**3 = 0 for f.
-2, 0
Suppose 0 = 10*v + 43 - 143. Suppose -v = -42*h + 37*h. Factor 33/5*q**h + 0 + 6/5*q.
3*q*(11*q + 2)/5
Let g(p) = -5*p**2 + 100*p + 4. Let a(l) = -81*l**2 + 1602*l + 66. Let n(f) = 2*a(f) - 33*g(f). Factor n(h).
3*h*(h - 32)
Factor -252*j**3 - 49009212*j + 5403265623 + 166698*j**2 + 1/7*j**4.
(j - 441)**4/7
Let y(n) be the first derivative of n**6/15 + n**5/2 + 3*n**4/2 + 7*n**3/3 + 2*n**2 - 104*n - 146. Let i(z) be the first derivative of y(z). Factor i(s).
2*(s + 1)**3*(s + 2)
Let n(t) be the third derivative of -t**5/300 + 259*t**4/120 + 438*t**2. Let n(m) = 0. What is m?
0, 259
Suppose 0 = -t + 8*t + 7. Let d be 8*t*(-6)/108. Factor 2/3 - 2/9*w**2 + d*w.
-2*(w - 3)*(w + 1)/9
Let c(m) be the third derivative of -4/15*m**5 - 201*m**2 + 125/6*m**4 + 0*m + 0 - 62/3*m**3. Factor c(u).
-4*(u - 31)*(4*u - 1)
Let q(z) be the third derivative of 7*z**8/312 - 41*z**7/65 + 8*z**6/13 - 34*z**5/195 - 3*z**2 + 4. Let q(u) = 0. What is u?
0, 2/7, 17
Let v(a) = a**2 + 32*a - 173. Let j(b) = b**2 - 14*b - 1. Let i(k) = 2*j(k) - v(k). Factor i(c).
(c - 57)*(c - 3)
Find a such that 0*a**2 + 0 - 98/17*a**4 - 2/17*a**5 - 188/17*a**3 + 0*a = 0.
-47, -2, 0
Factor 0 - 196/5*q**2 - 176*q**3 + 9/5*q**4 + 0*q.
q**2*(q - 98)*(9*q + 2)/5
Let w(k) be the second derivative of 5*k**7/42 - k**6/6 - 3*k**5 - 5*k**4/3 + 40*k**3/3 + 3*k - 405. Factor w(r).
5*r*(r - 4)*(r - 1)*(r + 2)**2
Let x be ((114 - 79)*(-6)/10)/((-8)/1). Factor 5/4*f - x - 1/8*f**2.
-(f - 7)*(f - 3)/8
Let h(i) = -2*i**2 + 51*i + 13. Suppose -41 = -7*q + 1. Let v(c) = 15*c**2 - 408*c - 104. Let j(g) = q*v(g) + 51*h(g). Solve j(s) = 0.
-1/4, 13
Let r(a) be the first derivative of -a**4/3 + 10*a**3/3 + 28*a**2 - 84*a + 44. Let u(g) be the first derivative of r(g). Suppose u(z) = 0. Calculate z.
-2, 7
Let w be (-25792)/(-62)*-2*2/264. Let h = w - -73/11. Factor 1/3*q**5 + 2/3*q**4 - h*q**3 - 2/3*q**2 + 0*q + 0.
q**2*(q - 1)*(q + 1)*(q + 2)/3
Let x(w) be the third derivative of -1/20*w**5 + 5/8*w**4 + 0 + 12*w**3 + 0*w - 76*w**2. Factor x(k).
-3*(k - 8)*(k + 3)
Let n(l) = -99*l - 16. Let g be n(-4). Let b = -380 + g. Factor 2/9*k**4 + 0 - 2/9*k**5 + 4/9*k**3 + 0*k + b*k**2.
-2*k**3*(k - 2)*(k + 1)/9
Let o(s) = 14*s**4 + 48*s**3 + 48*s**2 - 80*s. Let x(t) = -25*t**4 - 94*t**3 - 96*t**2 + 160*t. Let j(u) = 11*o(u) + 6*x(u). Find q such that j(q) = 0.
-2, 0, 1, 10
Let r = 468465 - 468464. Solve -1/5*p**3 + 3/5*p**2 + r + 9/5*p = 0.
-1, 5
Factor 8/5*f - 1/5*f**2 - 7/5.
-(f - 7)*(f - 1)/5
Let z be 19/((-760)/(-624))*10/4. Let a be 1/5 - z/(-105). Factor 0*u + 0 - 4/7*u**2 - a*u**3.
-4*u**2*(u + 1)/7
Let g(r) = -10*r**2 + 4300*r + 2272712. Let x(m) = -3*m**2 + 9*m. Let q(u) = -g(u) + 4*x(u). Find n, given that q(n) = 0.
-1066
Factor -16/5*i + 416/5 + 4/5*i**3 - 104/5*i**2.
4*(i - 26)*(i - 2)*(i + 2)/5
Let q = 1431017/2 + -715508. Let 0 + q*x**2 - 35/2*x = 0. Calculate x.
0, 35
Let t(w) be the first derivative of -90 - 6/35*w**5 + 1/7*w**6 + 2/7*w**3 + 0*w - 3/14*w**4 + 0*w**2. Factor t(v).
6*v**2*(v - 1)**2*(v + 1)/7
Let j(f) be the second derivative of f**5/40 + f**4/2 - 15*f**3/4 - 44*f - 4. Factor j(z).
z*(z - 3)*(z + 15)/2
Let t be 2/(-4) + 2 + (-18)/(-12). Find r, given that -205*r + 20 - 19*r**t + 290*r - 79*r**2 - 6*r**3 - r**2 = 0.
-4, -1/5, 1
Let j(i) be the first derivative of -3*i**4/4 + 275*i**3 - 1641*i**2/2 + 819*i - 3710. Factor j(u).
-3*(u - 273)*(u - 1)**2
Let a = -4635 - -4638. Suppose l = -t - 1, -5*t = -2*l + 17 + 2. Solve l*g**3 - 12*g**3 + 7*g**3 - a*g**4 = 0.
-1, 0
Factor -1/2*o**2 - 140625/2 + 375*o.
-(o - 375)**2/2
Let x(t) be the first derivative of -t**5/160 + 57*t**4/32 - 3249*t**3/16 + t**2 + 111*t - 156. Let z(a) be the second derivative of x(a). Solve z(m) = 0.
57
Let b be (888/(-1998))/((-8)/6). Suppose 47/3*w**3 - 4*w**4 + 64/3 - 52/3*w**2 + b*w**5 - 16*w = 0. Calculate w.
-1, 1, 4
Let b = 678031/30 + -22601. Let w(k) be the third derivative of 32*k**2 + 0 + 0*k + 0*k**4 - 1/3*k**3 + b*k**5. Solve w(n) = 0 for n.
-1, 1
Let d(t) be the third derivative of -t**8/8960 + t**7/480 - 11*t**4/24 + 52*t**2 + 2. Let p(r) be the second derivative of d(r). Find g such that p(g) = 0.
0, 7
Let x(k) be the third derivative of 1/75*k**5 + 6728/15*k**3 - 141*k**2 + 0*k + 0 + 58/15*k**4. Find b such that x(b) = 0.
-58
Let u(n) = -n**2 - 98*n + 486. Let h(a) = 100*a - 485. Let m(t) = -6*h(t) - 5*u(t). Factor m(j).
5*(j - 16)*(j - 6)
Solve s**4 - 3*s**4 + 23*s**3 - 233*s - 25*s**3 + 112*s**2 - 55*s = 0.
-9, 0, 4
Let x be (-49)/(-392) - (-62)/16. Solve 4*m**4 - 5 - 7 + x + 20*m**3 + 8 - 24*m**2 = 0.
-6, 0, 1
Find v such that 2*v**5 + 12*v**2 + 96*v + 28*v**2 - 38*v**3 - 18*v**3 + 2*v**4 = 0.
-6, -1, 0, 2, 4
Let t(r) be the first derivative of -7*r**6/288 + r**5/12 + 5*r**4/8 - 29*r**3 + 55. Let i(m) be the third derivative of t(m). Determine o so that i(o) = 0.
-6/7, 2
Let -210*y**4 + 37*y**5 - 63*y**2 - 5*y + 13*y**4 - 34*y**5 - 59*y + 321*y**3 = 0. Calculate y.
-1/3, 0, 1, 64
Let d(i) = -7*i**2 - i**3 - 10*i - 7 + 11*i - 9*i. Let s be d(-6). Factor -7*n**5 + 3*n**3 - n**4 + 6*n**5 + 2*n - 4*n + s*n**2 + 4*n.
-n*(n - 2)*(n + 1)**3
Let v(n) be the second derivative of 3*n**5/20 + 267*n**4/4 + 397*n**3 + 792*n**2 + 1780*n. Solve v(i) = 0.
-264, -2, -1
Let n(m) be the first derivative of -m**4/6 - 28*m**3/9 + 119*m**2 + 780*m - 5049. Find f, given that n(f) = 0.
-26, -3, 15
Let x(q) be the second derivative of -5*q**6/6 + 29*q**5/2 + 655*q**4/12 + 170*q**3/3 + 4277*q. Solve x(l) = 0.
-1, 0, 68/5
Factor -3/2*y**3 + 99/2*y**2 + 0 - 93*y.
-3*y*(y - 31)*(y - 2)/2
Suppose 19 + 119 = 66*w + 6. Let s(q) be the first derivative of -1/27*q**6 + 4/9*q**w - 35 + 0*q + 1/2*q**4 - 22/27*q**3 - 2/45*q**5. Factor s(g).
-2*g*(g - 1)**3*(g + 4)/9
Let p(t) be the third derivative of t**8/448 + t**7/20 + 23*t**6/160 - 7*t**5/40 - 3*t**4/4 - 2100*t**2. Suppose p(h) = 0. What is h?
-12, -2, -1, 0, 1
Let r(m) = -43*m - 262. Let h be r(-19). Factor -420*a + 4223 + h + 4042 + 5*a**2.
5*(a - 42)**2
Factor -1/7*n**2 + 68/7*n - 1156/7.
-(n - 34)**2/7
Let v be 88/(-55)*15/(-2). Suppose -4 = -a + 5*f, 0 = -3*a - 3*f + v. Solve -79*d**3 + 0*d - a*d**2 - 3*d + 80*d**3 + 6 + 4*d = 0.
-1, 2, 3
Factor 149/2 + 151/2*n**2 - 299/2*n - 1/2*n**3.
-(n - 149)*(n - 1)**2/2
Suppose 34 - 10 = 4*p. Let r(x) = -15*x**2 - 80*x - 19. Let l(u) = 1. L