of -o**6/1020 - o**5/170 + o**4/51 - 4*o**2 + 29*o. Factor i(q).
-2*q*(q - 1)*(q + 4)/17
Let x(l) be the second derivative of 0*l**2 + 3*l + 1/84*l**4 - 1/140*l**5 + 1/21*l**3 + 0. Let x(i) = 0. What is i?
-1, 0, 2
Suppose -3*c - 6*c + 36 = 0. Factor j - 12 - c*j**2 - 17*j + j**2 + 4*j.
-3*(j + 2)**2
Factor -y**2 + 1/2*y**3 + 1/2*y + 0.
y*(y - 1)**2/2
Let f(b) be the first derivative of -b**4 + 220*b**3/3 - 1566*b**2 + 2916*b + 97. Suppose f(m) = 0. Calculate m.
1, 27
Factor -i - 1/4*i**5 - 1/2*i**4 + 0 + 3/4*i**3 + i**2.
-i*(i - 1)**2*(i + 2)**2/4
Let k(m) be the third derivative of -m**7/1785 + 2*m**6/255 - 11*m**5/510 - 2*m**4/51 + 4*m**3/17 - 63*m**2. Determine d, given that k(d) = 0.
-1, 1, 2, 6
Let 0 + 20/11*b + 14/11*b**2 + 2/11*b**3 = 0. What is b?
-5, -2, 0
Let v(h) = 23*h**3 - 210*h**2 - 284*h - 51. Let x(p) = 24*p**3 - 208*p**2 - 284*p - 52. Let y(f) = 4*v(f) - 3*x(f). Let y(q) = 0. What is q?
-1, -1/5, 12
Let r(t) be the third derivative of -t**5/20 - 23*t**4/4 - 529*t**3/2 - 150*t**2. What is w in r(w) = 0?
-23
Suppose 0 = -4625*z + 4624*z + 5. Let u(n) be the second derivative of 4*n + 0 + 1/70*n**z + 2/7*n**2 - 1/21*n**3 - 1/21*n**4. Factor u(h).
2*(h - 2)*(h - 1)*(h + 1)/7
Let x be 14*(94/(-14) - -7). Let g(c) be the first derivative of 2/5*c + 0*c**x - 12 + 2/25*c**5 - 4/15*c**3 + 0*c**2. Factor g(h).
2*(h - 1)**2*(h + 1)**2/5
Suppose 4 = 3*n - 2*n. Factor -7*i**n - 26*i**2 - 6*i**4 + 20*i**3 + 10*i + 8*i**4 + i**2.
-5*i*(i - 2)*(i - 1)**2
Let w(x) be the first derivative of -4*x**3/3 + 20*x**2 - 84*x + 220. Let w(t) = 0. What is t?
3, 7
Let d be 34/(-170) + (0 - 2/(-10)). Let g(n) be the first derivative of 0*n - 2 - 9/35*n**5 - 2/7*n**3 + d*n**2 + 15/28*n**4. Factor g(f).
-3*f**2*(f - 1)*(3*f - 2)/7
Suppose g = 5 - 3. Factor 3*q**g + 4*q**2 + 15*q + 10 - 2*q**2 + 0*q**2.
5*(q + 1)*(q + 2)
Let o = 35/159 + 71/159. Factor -o + 1/3*t**4 + 1/3*t**3 - t**2 - 5/3*t.
(t - 2)*(t + 1)**3/3
Let c(x) be the first derivative of 5*x - 10*x**2 + 9 - 3*x**4 - 2*x**3 + x**5 + 9*x**3 + 3*x**3 - 2*x**4. Factor c(f).
5*(f - 1)**4
Let c(v) be the first derivative of -1/2*v**3 - 17 + 3/10*v**5 + 1/8*v**4 + 0*v + 0*v**2 - 1/12*v**6. Solve c(n) = 0.
-1, 0, 1, 3
Suppose -p + 3*g - 31 = -2*p, p - 23 = g. Let t be 36 - (0/1)/((-2)/2). Factor -p*z**2 + 28 - 3*z**3 - t*z + 7*z**2 - 52.
-3*(z + 2)**3
Let d(b) be the first derivative of -b**4 + 604*b**3 - 136806*b**2 + 13771804*b - 483. Find p, given that d(p) = 0.
151
Let q(i) be the third derivative of i**8/112 - 11*i**6/40 - 9*i**5/10 - i**4 + 186*i**2. Find b such that q(b) = 0.
-2, -1, 0, 4
Let p(f) be the third derivative of -441*f**6/200 - 399*f**5/50 + 41*f**4/10 - 4*f**3/5 + 97*f**2. Determine l, given that p(l) = 0.
-2, 2/21
What is a in 0 + 36*a - 4/3*a**3 + 104/3*a**2 = 0?
-1, 0, 27
Let c(f) = f**2. Let n(a) = a**3 - 3*a**2 - 3*a + 2. Let q be 6/(-18)*3*(0 - 6). Let y(m) = q*c(m) + 2*n(m). Factor y(w).
2*(w - 1)**2*(w + 2)
Let r(u) be the first derivative of 98/5*u**5 - 40*u - 12 - 86*u**3 + 124*u**2 - 112*u**4. Let r(l) = 0. What is l?
-1, 2/7, 5
Let g(x) be the third derivative of -15*x**2 + 0*x + 1/2688*x**8 + 0*x**6 + 1/120*x**5 + 0*x**4 + 0 + 0*x**3 - 1/560*x**7. Solve g(b) = 0.
-1, 0, 2
Let g = 56087/140230 - -1/28046. Find n, given that 0*n - 12/5*n**3 + g*n**5 + 0 + 2*n**4 + 0*n**2 = 0.
-6, 0, 1
Let a be 35/21 - 3/(-9). Let u(v) be the first derivative of 4/13*v - 6 - 8/13*v**3 + 7/26*v**4 + 3/13*v**a. Factor u(h).
2*(h - 1)**2*(7*h + 2)/13
Let w(i) be the first derivative of -5*i**4/4 + 10*i**3 - 20*i**2 - 10. Factor w(j).
-5*j*(j - 4)*(j - 2)
Let t be (15/190)/((-21)/(-112)). Find f such that 2/19*f**4 - t*f - 8/19 + 8/19*f**3 + 6/19*f**2 = 0.
-2, -1, 1
Solve 3/7*x**2 + 1128/7*x + 106032/7 = 0 for x.
-188
Suppose -11*y - 6*y = -2*y. Let t(g) be the second derivative of 1/6*g**3 + 0*g**2 - 1/36*g**4 + y + 2*g. What is r in t(r) = 0?
0, 3
Let c(o) be the third derivative of 0 - 24*o**2 + 0*o**3 + 1/72*o**4 + 0*o**5 + 0*o - 1/360*o**6. Find l, given that c(l) = 0.
-1, 0, 1
Let t = 3/3320 - -10603/23240. Let k(p) be the first derivative of -5/21*p**6 + 4/3*p**3 + 19/14*p**4 - 4 - 4*p**2 + 16/7*p - t*p**5. Solve k(g) = 0.
-2, 2/5, 1
Let p(v) be the second derivative of -v**5/20 - 7*v**4/12 - 2*v**3 + v**2 - 5*v. Let r be p(-4). Factor 15*c + 12 - r*c**2 - 23*c - 2*c**2.
-4*(c - 1)*(c + 3)
Let z = -117191/8 - -14740. Factor -27/8*n**2 - z - 1/8*n**3 - 243/8*n.
-(n + 9)**3/8
Let m be (-1 - 7/(-2))*(-160)/(-2600)*26. Factor 3/2*p**m + 90*p**2 - 375/2 - 21*p**3 - 75*p.
3*(p - 5)**3*(p + 1)/2
Let f(b) be the first derivative of 1024*b**2 - 4096*b - 1/5*b**5 + 8*b**4 - 128*b**3 - 23. Factor f(n).
-(n - 8)**4
Suppose -5*s + 30 = 0, 75 - 87 = -3*j - 2*s. Factor -5/3*q**4 + j - 25/3*q - 55/3*q**2 - 35/3*q**3.
-5*q*(q + 1)**2*(q + 5)/3
Let t(r) be the third derivative of -r**6/24 + 10*r**5 - 750*r**4 + 2*r**2 + 307*r. Suppose t(k) = 0. What is k?
0, 60
Let q = -3 - -8. Factor 6*y**3 - 25*y**4 + 21*y**5 - y**3 + 5*y**q - 6*y**5.
5*y**3*(y - 1)*(4*y - 1)
Let x = 75325 + -4745597/63. Let o = x - -20/9. Factor 0 + o*p**4 + 6/7*p**3 + 0*p**2 - 8/7*p.
2*p*(p - 1)*(p + 2)**2/7
Let o(q) be the second derivative of q**5/110 - q**4/33 + q**3/33 - 13*q. Let o(g) = 0. Calculate g.
0, 1
Let d = 46 + -38. Suppose d*f - 7*f = 3. Solve -2 + 1/4*r**f - 3/2*r**2 + 3*r = 0.
2
Let q(c) = -76*c**2 - 1352*c - 9900. Let a(k) = -7*k**2 - 123*k - 900. Let n(g) = -32*a(g) + 3*q(g). Let n(v) = 0. Calculate v.
-15
Let k be ((-43)/688)/((-5)/60). Factor 0 - 1/2*t - k*t**2 + 5/4*t**3.
t*(t - 1)*(5*t + 2)/4
Factor 33/4 - 489/4*y - 375/2*y**4 - 3675/4*y**3 + 2385/4*y**2.
-3*(2*y + 11)*(5*y - 1)**3/4
Suppose 0 = 323*n - 309*n. Suppose 1/8*a**3 + n - 1/8*a**2 + 0*a = 0. Calculate a.
0, 1
Let m be -9*(4 + (3 - 6)). Let o be 3/m - 215/(-285). Let 2/19*u + 0 + o*u**2 = 0. Calculate u.
-1/4, 0
Let -4/7*b + 1/7*b**4 + 8/7*b**3 - 20/7 + 15/7*b**2 = 0. Calculate b.
-5, -2, 1
Let t be 180/28 - (-24)/(-56). Let n(o) be the third derivative of 0*o**5 + 1/105*o**7 + 1/6*o**4 - 1/3*o**3 + 0 - 1/30*o**t + 7*o**2 + 0*o. Factor n(b).
2*(b - 1)**3*(b + 1)
Let d be (-9)/(-2)*(-40)/1620*-18. Find a such that 2*a + 1/6*a**d + 6 = 0.
-6
What is f in -49 - 4 + 2*f**2 - 58 + 108*f - 45 + 46 = 0?
-55, 1
Factor -1/6*q**2 + 0 + 11/3*q.
-q*(q - 22)/6
Let x(n) be the first derivative of 1/30*n**4 - 1/30*n**3 - 1 + 0*n**2 - 1/100*n**5 + 3*n. Let k(j) be the first derivative of x(j). Factor k(m).
-m*(m - 1)**2/5
Let l(o) be the first derivative of -4*o**5/15 - 3*o**4/4 - o**3/3 + 2*o**2 - 19. Let n(a) be the second derivative of l(a). Let n(u) = 0. Calculate u.
-1, -1/8
Let n be (3 + (-28)/12 + 2)*(-30)/(-40). Let 2/3*o + 2/9*o**n + 0 = 0. What is o?
-3, 0
Let -6*s + 10 - s**2 + 3*s + 12*s - 2*s - 4*s = 0. What is s?
-2, 5
Find t, given that 2 - 9/7*t**2 + 61/7*t = 0.
-2/9, 7
Suppose 15 = 3*f - 3*n, -3*n = f - 3 - 6. Suppose 9*a - 12*a = -f. Solve 0*x + 1/2*x**3 + 0 + 1/2*x**a = 0 for x.
-1, 0
Let v = 406 - 288. Find c, given that -34*c**5 - 8*c - 22*c**5 - 22*c**4 + v*c**3 - 32*c**4 = 0.
-2, -1/4, 0, 2/7, 1
Let n(j) = 4*j**4 - 18*j**3 - 48*j**2 - 41*j - 10. Let i(a) = 3*a**4 - 18*a**3 - 48*a**2 - 42*a - 11. Let h(c) = 5*i(c) - 4*n(c). Factor h(o).
-(o + 1)**3*(o + 15)
Let i(s) be the first derivative of 0*s + 1/3*s**3 + 10 + s**2. Factor i(j).
j*(j + 2)
Let j(f) be the third derivative of f**8/1344 - f**7/210 - f**6/160 + 17*f**5/120 - 13*f**4/24 + f**3 - 6*f**2 + 5. What is n in j(n) = 0?
-3, 1, 2
Suppose 18*d - 16 = 14*d. Factor -10*j**4 + 5*j**3 - 5*j**4 + 10*j**d.
-5*j**3*(j - 1)
Factor 18 - 1/4*m**4 + 13/2*m**2 - 21*m + 1/4*m**3.
-(m - 3)*(m - 2)**2*(m + 6)/4
Let n(z) be the third derivative of 0 + 0*z - 2*z**2 + 1/390*z**5 + 1/13*z**3 + 1/39*z**4. Factor n(g).
2*(g + 1)*(g + 3)/13
Suppose -2*w - p + 2 = 0, -5*p + 8 = -3*w - p. Suppose 571*u - 568*u = -4*t + 26, -4*u + 20 = -2*t. Determine q so that -2/3*q**t + 4/3*q + w - 2/3*q**3 = 0.
-2, 0, 1
Let r(b) be the first derivative of -6*b - 5/2*b**2 + 56 - 1/3*b**3. Solve r(v) = 0.
-3, -2
Let r = 594 - 308. Let h = r + -281. Find y such that -h + 5*y - 5/4*y**2 = 0.
2
Let h be 2 + -4 - (-4 + 8)*-1. Let g be -4*h/(-84)*3. Factor -2/7*q**5 + 4/7*q**2 + 4/7*q**3 - g*q - 2/7 - 2/7*q**4.
-2*(q - 1)**2*(q +