/3*y**6 + 4*y**5 + 15. Factor f(t).
4*t*(t + 1)**3*(t + 2)
Let v be (18 - (-6356)/(-350))/(905/(-125) + 7). Determine b, given that 2/3*b**3 - 10/3*b + 2 + v*b**2 = 0.
-3, 1
Suppose -4*v + 0*v = 2*f - 10, 2*v + 2*f - 10 = 0. Suppose -4504*k + 4305*k = 0. Solve k*z - 3/2*z**2 + v = 0.
0
Let k(q) be the second derivative of 0 - 122*q - 484/3*q**2 - 1/18*q**4 - 44/9*q**3. What is r in k(r) = 0?
-22
Let n(w) be the first derivative of -w**5/40 + 7*w**4/4 - 419*w**3/12 + 189*w**2/2 - 729*w/8 - 861. Determine h so that n(h) = 0.
1, 27
Let d(n) be the second derivative of n**7/42 - n**6/4 - 7*n**5/12 - 25*n**2 + 50*n. Let g(p) be the first derivative of d(p). Factor g(b).
5*b**2*(b - 7)*(b + 1)
Let w(y) be the third derivative of y**8/784 + 4*y**7/735 - y**6/15 + 8*y**5/105 + 2*y**4/7 + 1116*y**2. Suppose w(n) = 0. Calculate n.
-6, -2/3, 0, 2
Let s(h) be the second derivative of -h**6/30 + 287*h**5/8 - 114481*h**4/8 + 27475201*h**3/12 - 13651919*h**2/4 - 2616*h. Suppose s(z) = 0. Calculate z.
1/2, 239
Let g(x) = 11*x**2 - 7*x - 170. Let v(a) = 2*a**2 - a + 5. Let w(y) = g(y) - 5*v(y). Let d be w(15). Factor -5/2*h**2 + d + 2*h + 1/2*h**3.
h*(h - 4)*(h - 1)/2
Let m be ((-4)/10)/(-29 - (-4608)/160). Factor -14/5*x + 3/5*x**3 - 24/5 + 7*x**m.
(x - 1)*(x + 12)*(3*x + 2)/5
Factor 44/5*d - 72/5 - 4/5*d**2.
-4*(d - 9)*(d - 2)/5
Let k(u) be the third derivative of 0 + 19/24*u**4 - 7/120*u**6 - 3/20*u**5 - 4/3*u**3 - 25*u**2 + 1/42*u**7 + 0*u. Solve k(i) = 0.
-8/5, 1
Let o be (14/7945)/(-2 + -1 + 2). Let v = o - -1141/3405. Suppose 1/3*w**2 - v*w - 2 = 0. Calculate w.
-2, 3
Let b be (-744)/(-20) - 4/(-5). Let w = b - 19. Suppose -w*p + 6*p**3 - 32*p**2 + 30*p**3 - 8*p**3 + 3*p + 20*p**4 = 0. What is p?
-2, -2/5, 0, 1
Let t(l) = 53*l**4 + 18*l**3 + 2*l**2 + 8. Let i(a) = 6*a**4 + 2*a**3 + 1. Let w(f) = -9*i(f) + t(f). Determine p, given that w(p) = 0.
-1, 1
Factor -3/4*v**3 + 19044 + 78*v**2 - 2415*v.
-3*(v - 46)**2*(v - 12)/4
Let u(w) be the first derivative of -8*w**3/3 - 602*w**2 - 600*w - 972. Factor u(k).
-4*(k + 150)*(2*k + 1)
Let j be 1596/76 + (-36)/2. Let s(v) be the first derivative of 1/7*v**j - 11 + 507/7*v + 39/7*v**2. Find b such that s(b) = 0.
-13
Suppose 0 = -15*s + 56 + 4. Factor -25*o + 5*o - s + 19 + 3*o**2 + 2*o.
3*(o - 5)*(o - 1)
Suppose -2*s = 2*s - d - 6, -2*s - 4*d = 24. Solve -6/7*v + s*v**3 + 0 + 3/7*v**4 - 9/7*v**2 = 0.
-1, 0, 2
Let r(f) be the first derivative of -f**4/2 + 12*f**2 - 32*f - 198. Find w, given that r(w) = 0.
-4, 2
Let d(a) be the third derivative of 0 - 1/300*a**6 + 0*a - 51*a**2 - 1/4*a**4 + 0*a**3 - 8/75*a**5. Solve d(p) = 0.
-15, -1, 0
Let h(n) be the third derivative of -n**6/80 - 13*n**5/10 - 725*n**4/16 - 625*n**3/2 + 839*n**2. Factor h(r).
-3*(r + 2)*(r + 25)**2/2
Suppose 0 = -32*d + 18740 - 107700. Let z be ((-8)/84 - d/525) + -5. Factor 0*h + 1/5 + 0*h**3 - 2/5*h**2 + z*h**4.
(h - 1)**2*(h + 1)**2/5
Let q(x) be the first derivative of -85 - 5/2*x**4 - 2/5*x**5 + 0*x + 5*x**2 + 2/3*x**3. Factor q(y).
-2*y*(y - 1)*(y + 1)*(y + 5)
Let h(v) be the third derivative of 0 - 1/105*v**7 + 0*v**3 - 7/150*v**5 + 0*v + 3/100*v**6 - 174*v**2 + 1/840*v**8 + 1/30*v**4. Factor h(g).
2*g*(g - 2)*(g - 1)**3/5
Let v = 2/1518723 - -1518719/3037446. Solve v*o**3 - 1/12*o**5 + 0 + 1/4*o + 2/3*o**2 + 0*o**4 = 0 for o.
-1, 0, 3
Let i = -15340 + 15344. Let n(m) be the third derivative of 7/12*m**i + 0*m + 2/5*m**6 + 2/9*m**3 + 7/9*m**5 + 0 - 21*m**2. Determine l, given that n(l) = 0.
-1/2, -1/4, -2/9
Suppose -6*x = -14*x - 64. Let u be (-4)/x + 42/12. Determine o, given that -61*o**2 - 2*o**u + 8*o**4 + 69*o**2 - 12*o**3 - o**5 = 0.
0, 2
Let t(z) = z**3 + 10*z**2 + 6*z - 25. Suppose -9 = 14*a + 117. Let c be t(a). Factor 3/5*v - 2/5 - 1/5*v**c.
-(v - 2)*(v - 1)/5
Let s = -5309/209 + 280/11. Let z(q) be the second derivative of -1/38*q**5 - s*q**4 + 0 - 1/57*q**3 + 15*q + 0*q**2. Factor z(c).
-2*c*(c + 1)*(5*c + 1)/19
Let x(o) be the second derivative of o**5/30 - 26*o**4/9 + 560*o**3/9 + 3136*o**2/3 + 7255*o. Find r, given that x(r) = 0.
-4, 28
Let q(a) be the first derivative of a**4/6 - 25*a**3/3 - 26*a**2 + 120*a + 17. Let r(c) be the first derivative of q(c). Let r(y) = 0. Calculate y.
-1, 26
Factor -3751 - 3*l**3 + 3*l**4 + l**5 + 3*l**3 - 4*l**2 + 3751.
l**2*(l - 1)*(l + 2)**2
Let g(l) be the first derivative of -2*l**3/9 - 599*l**2/3 - 1196*l/3 - 463. What is o in g(o) = 0?
-598, -1
Let b(l) = -l**2. Let t = -9 - -25. Let n(d) = -5 - 9*d + 10*d - 38*d**2 + 23*d + t*d. Let y(s) = -3*b(s) + n(s). Find o such that y(o) = 0.
1/7, 1
Let j = 98474 + -98472. Factor 0*g - 1/2*g**5 + 0*g**j + 2*g**4 - 3/2*g**3 + 0.
-g**3*(g - 3)*(g - 1)/2
Factor -22*a - 22*a**3 + 22*a - 29*a**2 - 3*a**4 + 15*a**5 - 7 - 14*a**5 - 27*a - 9*a**2.
(a - 7)*(a + 1)**4
Let y(b) be the second derivative of b**5/20 - 53*b**4/12 - 109*b**3/6 - 55*b**2/2 + 30*b - 22. Solve y(h) = 0 for h.
-1, 55
Let k(j) = -2*j**2 + 87*j + 140. Let v be k(45). Let c(h) be the first derivative of -5/3*h**3 - 3 + v*h + 0*h**2. Suppose c(i) = 0. What is i?
-1, 1
Let t = 732 + -707. Let a be 10/t*3/(12/8). Find s such that -2/5*s**2 + 0 + 11/5*s**4 - a*s**5 - s**3 + 0*s = 0.
-1/4, 0, 1, 2
Let d = -89041/3 + 29681. Factor 52/3*j - d*j**2 - 338/3.
-2*(j - 13)**2/3
Let k(c) be the second derivative of c**5/5 - 113*c**4/3 - 470*c**3 - 2142*c**2 - c + 1493. Solve k(s) = 0.
-3, 119
Let f(h) be the second derivative of -h**4/36 - 1043*h**3/18 + 4970*h. Find s, given that f(s) = 0.
-1043, 0
Let k(z) = 299*z**2 - 2691*z + 3. Let n be k(9). Let 8/3*m + 1/6*m**n + 0 + 4/3*m**2 = 0. Calculate m.
-4, 0
Suppose 4973 - 5293 = -80*c. Find m such that 18/7*m - c - 2/7*m**2 = 0.
2, 7
Let c be (-133)/77 - (-1 - 2). Suppose 93*b - 95*b = -4. Determine m, given that 14/11*m**4 - c*m**b + 0 - 2/11*m**3 + 6/11*m**5 - 4/11*m = 0.
-2, -1, -1/3, 0, 1
Suppose 0 = 4*f - 482 - 958. Let c = f + -357. Factor 3/5*g**5 + 0 + 3/5*g + 0*g**4 - 6/5*g**c + 0*g**2.
3*g*(g - 1)**2*(g + 1)**2/5
Let q(v) be the first derivative of -v**5/170 - v**4/34 - v**3/17 - v**2/17 + 79*v - 113. Let h(p) be the first derivative of q(p). Find f such that h(f) = 0.
-1
Suppose -23*h - 60480 = 17*h. Let p be (-2)/(-3) - h/(-6156). Factor 2/19*w + p*w**2 + 0.
2*w*(4*w + 1)/19
Let b(z) = -13*z**2 + 518*z - 561. Let u(i) = 11*i**2 - 525*i + 562. Let a(d) = 6*b(d) + 7*u(d). Factor a(p).
-(p - 1)*(p + 568)
Let f(t) = t**2 - 74*t + 1228. Let q be f(25). Let r(h) be the third derivative of 0*h + 12*h**2 - 1/160*h**5 + 0 - 25/16*h**q - 5/32*h**4. Factor r(l).
-3*(l + 5)**2/8
Suppose u**4 + 90 + 42*u - 30*u**2 - 61*u**2 + 27*u**3 - 69*u = 0. What is u?
-30, -1, 1, 3
Let m = 776 + -774. Factor -563*o - 700*o - 100 + 1983*o - 1365*o**m + 245*o**3.
5*(o - 5)*(7*o - 2)**2
Let v(l) = -5*l**2 - 56*l + 6. Let o = -476 + 470. Let y(c) = 4*c**2 + 54*c - 5. Let g(a) = o*y(a) - 5*v(a). What is f in g(f) = 0?
0, 44
Let j(d) be the third derivative of d**8/224 - 2*d**7/35 + 21*d**6/80 - 11*d**5/20 + d**4/2 - 43*d**2 + 3*d. Suppose j(u) = 0. Calculate u.
0, 1, 2, 4
Determine j so that 51/5*j**3 - 36/5*j**2 - 3/5*j**4 - 204/5*j + 192/5 = 0.
-2, 1, 2, 16
Let t(u) = -11*u - 42. Let n be t(-4). Determine a, given that 32*a - 17*a**n + 20*a**2 - 65*a - 39 - 39 = 0.
-2, 13
Let h be 54/24 - 3/12. Let q(d) = d + 0*d**2 + 9*d**2 - 1 - 10*d**h. Let t(w) = -w**3 + 8*w**2 - 4*w + 2. Let x(l) = 5*q(l) + t(l). Factor x(b).
-(b - 3)*(b - 1)*(b + 1)
Let z be ((-2)/5)/1 + (0 - 440/(-975)). Let q(w) be the first derivative of 0*w + 13 - z*w**3 + 2/13*w**2. Find l such that q(l) = 0.
0, 2
Find j such that -60*j**3 + 24*j**2 + 29*j**3 + 33*j**3 + 72*j = 0.
-6, 0
Let w(y) = -14*y**3 - 29*y**2 + 54*y - 11. Let v(u) = 5*u + u**2 - 7*u + 2 - 3 + 24*u**3 - 23*u**3. Let m(n) = 10*v(n) + 2*w(n). Factor m(x).
-2*(x + 4)*(3*x - 2)**2
Let o(v) = v**2 - 138*v + 275. Let p be o(2). Let w(c) be the third derivative of 3/40*c**5 - 3/4*c**p - 9*c**2 - 1/80*c**6 + 0 + 1/16*c**4 + 0*c. Factor w(y).
-3*(y - 3)*(y - 1)*(y + 1)/2
Let p = 4161/11 - 12472/33. Factor -4/3*n + 5/3*n**2 - p*n**3 + 0.
-n*(n - 4)*(n - 1)/3
Find m, given that 305*m - 2280 - 5/2*m**2 = 0.
8, 114
Let v = 14 - 61. Let g = v + 51. Factor 2/5*z**2 + 1/5*z**5 + 0*z - 3/5*z**3 + 0*z**g + 0.
z**2*(z - 1)**2*(z + 2)/5
Suppose 64 