be (-300)/(-225)*2/32. Let n(v) be the first derivative of 0*v + w*v**4 - 1/9*v**3 + 0*v**2 + 1. Let n(l) = 0. Calculate l.
0, 1
Factor 56*m**2 + 7*m**3 - 9*m**3 + 640 - 131*m - 14*m**2 + 5*m - 162*m.
-2*(m - 8)**2*(m - 5)
Let v be (-178)/(-35) + (-2)/7. Let q be (-7 + 16 + -9)/((-1)/1). Suppose -1/5*t**3 - 1/5*t + 6/5*t**2 - v*t**4 + q - 16/5*t**5 = 0. What is t?
-1, 0, 1/4
Let b(w) = -w**5 + w**4 - w**3 - w**2. Let q(n) = 16*n**5 - 8*n**4 + 64*n**3 + 8*n**2 - 40*n. Let h(j) = -20*b(j) - q(j). Determine c so that h(c) = 0.
-2, -1, 0, 1, 5
Let s = 0 + 11. Let y be (-2)/s - (-90)/11. Suppose 8*p**3 - 3*p - y*p**3 - 5*p**4 + 3*p**3 + 5*p**2 = 0. What is p?
-1, 0, 3/5, 1
Let n(m) = 912*m - 4558. Let j be n(5). Let u(p) = 2*p**3 + p**2 - p. Let q be u(1). Solve 1 - j*b - 5/4*b**q = 0.
-2, 2/5
Let n(y) = -y**3 - y**2 + 10*y + 13. Let h be n(-5). Factor -4*i**2 - 63*i + h*i + 4.
-4*(i - 1)*(i + 1)
Let q(a) be the second derivative of a**6/1440 + a**5/240 - a**4/32 - a**3/2 + 5*a. Let s(j) be the second derivative of q(j). Factor s(y).
(y - 1)*(y + 3)/4
Let p(y) be the second derivative of -5/3*y**3 + 31*y + 0 + 0*y**2 - 5/24*y**4. Suppose p(x) = 0. Calculate x.
-4, 0
Find g, given that -37*g - 66 + 4*g**2 - g**2 - 2*g**2 - 4*g**2 - 2*g = 0.
-11, -2
Let x = 222 + -220. Let -1/3*d**5 - 1 - d**4 + 2/3*d**3 - 1/3*d + 2*d**x = 0. Calculate d.
-3, -1, 1
Suppose 4*q - 15*q = 3*q. Solve -2/11*p**2 + 0*p + q = 0.
0
Suppose -66 + 66 = 5*q. Let t(w) be the third derivative of w**2 + q*w + 1/4*w**4 + 0 - 1/60*w**5 - 3/2*w**3. Let t(i) = 0. What is i?
3
Factor 1/4*i**2 + 3/2 - 7/4*i.
(i - 6)*(i - 1)/4
Let h(b) = 8*b**2 + 11*b - 4 + 2*b**2 + 3*b**2 + b**3. Let i be h(-12). Solve g**4 + 0 - 4*g + 4 - 3*g**2 + i*g**3 - 6*g**3 = 0 for g.
-2, 1
Let s = 44 + -42. Let y(d) be the second derivative of -1/10*d**6 - 3/4*d**4 + 0 - 1/3*d**3 - 5*d - 1/2*d**5 + 0*d**s. Factor y(u).
-u*(u + 1)*(u + 2)*(3*u + 1)
Let g be (-6 + 25 - 7)*(-2)/60*-5. Factor 0 + 2/9*v**g - 2*v.
2*v*(v - 9)/9
Let t(m) be the third derivative of -m**6/120 - m**5/40 + m**4/4 + 5*m**3/6 + 27*m**2. Let q(o) be the first derivative of t(o). Factor q(r).
-3*(r - 1)*(r + 2)
Let j(t) = 5*t**4 - 10*t**3 + 4*t**2 + 4*t - 9. Let u(c) = -c**4 + 2*c**3 - c + 1. Let s(x) = j(x) + 6*u(x). Suppose s(w) = 0. Calculate w.
-1, 1, 3
Suppose -4*t + 20 = -3*t. Suppose 16*s - 9*s**2 + t*s**2 - 7*s**2 = 0. Calculate s.
-4, 0
Let t(l) = -l. Let g(z) = z**4 - 4*z**3 + 2*z**2 + 3*z - 3. Let d(p) = g(p) - t(p). Factor d(u).
(u - 3)*(u - 1)**2*(u + 1)
Suppose -4*j = -0*j - 8. Suppose 48*c**3 - 87*c**j - 2 + 27*c + 159*c**2 + 5 = 0. Calculate c.
-1, -1/4
Let h = 77 - 81. Let q be (-4)/h*(-2)/(-4). Find c such that -3/4*c - 1/4*c**2 - q = 0.
-2, -1
Let g = -2 - -4. Factor 4*i - i**2 - 2*i**g - 3 + 2*i**2.
-(i - 3)*(i - 1)
Let y(i) be the second derivative of i**6/90 - i**5/30 - 23*i**4/36 + 4*i**3/3 + 24*i**2 + 69*i. Factor y(x).
(x - 4)**2*(x + 3)**2/3
Suppose -6*m = -20*m. Let c(o) be the first derivative of 0*o**3 + 0*o + 3/10*o**5 + 1 + 0*o**4 + m*o**2. Factor c(i).
3*i**4/2
Let n = 9089/42 + -502/21. Let r = 193 - n. Determine b so that -1/2*b**4 + 0 + 1/2*b**2 + r*b**5 - 1/2*b**3 + 0*b = 0.
-1, 0, 1
Let f(o) = 17*o - 34. Let w be f(2). Find m, given that -2/13*m**4 + 0 + w*m + 0*m**2 + 2/13*m**5 + 0*m**3 = 0.
0, 1
Let a(u) be the first derivative of u**3/6 + 31*u**2/4 + 15*u + 297. Factor a(b).
(b + 1)*(b + 30)/2
Let n(v) be the first derivative of v**6/45 - 2*v**5/75 - v**4/15 - 17. Factor n(k).
2*k**3*(k - 2)*(k + 1)/15
Let a(o) be the third derivative of o**7/70 + 57*o**6/10 + 9747*o**5/10 + 185193*o**4/2 + 10556001*o**3/2 - 28*o**2. Determine h, given that a(h) = 0.
-57
Let t(y) = -y**2 + 5*y - 2. Let r be t(2). Let a be 2 - (1/(r/(-8)) - 0). Factor -1/4*j**2 + 2*j - a.
-(j - 4)**2/4
Let k be (34 - (25 + -10)) + -19. Factor -3/2*g + k*g**2 - 1 + 1/2*g**3.
(g - 2)*(g + 1)**2/2
Let k(m) be the third derivative of -m**8/336 - m**7/35 - m**6/30 + m**5/10 + 5*m**4/24 + 110*m**2. What is l in k(l) = 0?
-5, -1, 0, 1
Let k(w) = -18*w**2 + 492*w + 30254. Let l(v) = 23*v**2 - 492*v - 30253. Let d(g) = -5*k(g) - 4*l(g). Factor d(q).
-2*(q + 123)**2
Let c(w) be the third derivative of w**9/17280 - w**8/8064 - w**7/5040 + 2*w**5/15 - 23*w**2. Let f(s) be the third derivative of c(s). Factor f(n).
n*(n - 1)*(7*n + 2)/2
Let g be 3 + -7 + 3 + 4. What is r in -2 + 5*r + 1 + g + 2*r**2 - 9*r = 0?
1
Suppose -122*n - 207*n = -658. Factor -1 + 5/2*g + 1/2*g**3 - 2*g**n.
(g - 2)*(g - 1)**2/2
Let b(t) be the first derivative of -1 + 0*t**4 - 8/5*t**3 + 4/25*t**5 - 12/5*t + 16/5*t**2. Solve b(p) = 0 for p.
-3, 1
Let p(b) be the third derivative of -b**5/330 + 25*b**4/66 - 487*b**2. Determine o, given that p(o) = 0.
0, 50
Suppose -14*b + 6 = -12*b. Suppose 19*v - 21*v + 0*v**3 + v**2 + 4*v**2 - 3*v**b = 0. Calculate v.
0, 2/3, 1
Suppose 2*x = 27 - 17. Let v(q) be the second derivative of 1/70*q**5 + 0 - x*q - 1/42*q**4 - 2/21*q**3 + 0*q**2. Factor v(t).
2*t*(t - 2)*(t + 1)/7
Let r(s) be the second derivative of -s**6/135 - s**5/10 - 5*s**4/9 - 44*s**3/27 - 8*s**2/3 + 27*s - 1. Factor r(t).
-2*(t + 2)**3*(t + 3)/9
Let o(g) be the third derivative of g**5/390 - 80*g**4/39 + 25600*g**3/39 - 21*g**2 + 5. Solve o(a) = 0.
160
Let s(q) = q**2 - 20*q + 98. Let p be s(9). Let n be 1*p - 385/(-165). Factor 1/3*t**3 - n*t**2 + 0 + 4/3*t.
t*(t - 2)**2/3
Let j(n) be the third derivative of n**6/60 + 9*n**5/10 + 14*n**4 - 196*n**3/3 + 168*n**2. Factor j(t).
2*(t - 1)*(t + 14)**2
Let f = 22/19 - -10/57. Let t(g) be the first derivative of f*g**3 - 1 - 1/2*g**4 + g**2 - 4*g. Factor t(j).
-2*(j - 2)*(j - 1)*(j + 1)
Suppose 33 = 3*t - 3*g - 0, -t - 3*g + 11 = 0. Suppose -2*z = 3*u - t, -2 = z - 3. Factor 8*d - 4*d + 21*d - 17*d**u + 2*d**3 + 10 - 20*d**2.
-5*(d - 1)*(d + 2)*(3*d + 1)
Factor -13 + 1/3*c**2 + 10/3*c.
(c - 3)*(c + 13)/3
Let a(v) be the third derivative of 0 - 45*v**2 - 11/64*v**4 - 1/160*v**5 + 0*v**3 + 0*v. Factor a(p).
-3*p*(p + 11)/8
Suppose 4*a - 4*o - 112 = 0, 2*a - 2*o - 59 = o. Suppose 0 = -7*u + 2*u + a. Determine b, given that -3*b**2 - 13*b**3 + b**3 + 11*b**2 + 3*b**5 + b**u = 0.
-2, 0, 1
Let q = -214 + 133. Let o be ((-6)/9)/(30/q). Let -7/5*w**2 - 2/5 + o*w = 0. What is w?
2/7, 1
Solve 162/23 + 2/23*b**2 - 36/23*b = 0.
9
Suppose -11*b - 858 = -253. Let c be 56 + b + 86/10. Determine y so that -27/5*y - 42/5*y**3 - 6/5 - 3/5*y**5 - 18/5*y**4 - c*y**2 = 0.
-2, -1
Let q(c) be the second derivative of 0 - 1/78*c**4 - 2/39*c**3 + 24*c + 0*c**2. Factor q(k).
-2*k*(k + 2)/13
Let n(p) be the first derivative of p**5/80 - p**4/48 + 3*p**2 - 9. Let f(w) be the second derivative of n(w). What is h in f(h) = 0?
0, 2/3
Let j = 738 + -738. Let c(i) be the third derivative of -1/150*i**6 + j - 4/75*i**5 - 2/15*i**4 - 2*i**2 + 0*i + 0*i**3. Suppose c(z) = 0. Calculate z.
-2, 0
Let a(o) = 65*o**4 - 30*o**2 + 35*o - 35. Let t(n) = -11*n**4 + 5*n**2 - 6*n + 6. Let m = -4 - 2. Let x(z) = m*a(z) - 35*t(z). Suppose x(y) = 0. Calculate y.
-1, 0, 1
Let x(n) = -n**3 + 4*n**2 - 3. Let d be x(2). Suppose -h - d = -0, -h - 30 = -5*w. Factor 3*t - 6*t**3 + 0*t**w + 3*t**5 + 26 + 3*t**4 - 23 - 6*t**2.
3*(t - 1)**2*(t + 1)**3
Let n(j) = -6*j - 27. Let t be n(-5). Factor 116*u**2 + 5*u**5 - 5*u**t - 116*u**2.
5*u**3*(u - 1)*(u + 1)
Let b(o) = -5*o**2 + 65*o - 2. Let r be b(13). Let z be (r - -2)/(-3) - (-13 + 11). Let 2/3*s**z + 0 + 2/3*s = 0. Calculate s.
-1, 0
Let p(w) be the first derivative of w**4/16 + 3*w**3/4 - 5*w**2/4 + 183. Factor p(v).
v*(v - 1)*(v + 10)/4
Let t(f) be the first derivative of 2/15*f**3 + 0*f - 6 + f**2. Factor t(y).
2*y*(y + 5)/5
Let v = 264 + -249. Let w be ((-33)/v - -2)/((-3)/6). Factor -4/5*n + 2/5*n**2 + w.
2*(n - 1)**2/5
Let w(g) be the third derivative of g**7/420 - g**6/240 - g**5/60 + 46*g**2. Let w(c) = 0. What is c?
-1, 0, 2
Let o = 264940433/413 - 641503. Let r = -10/59 - o. Let 6/7*d**3 + 0*d**2 + 0 - 2/7*d - r*d**4 = 0. What is d?
-1/2, 0, 1
Let l(h) be the third derivative of 0*h + 0*h**6 - 1/70*h**7 + 0*h**4 + 0*h**3 + 0*h**5 + 0 + 9*h**2. Factor l(w).
-3*w**4
Suppose s = 2*s - 4. Suppose 0 = 5*j - 20, 5*a + 2*j - s*j - 12 = 0. Factor 1/5*r**2 + 0 - 1/5*r**a + 1/5*r**5 - 3/5*r**3 + 2/5*r.
r*(r - 2)*(r - 1)*(r + 1)**2/5
