 the third derivative of -v**9/90720 + v**7/2520 - v**6/540 - v**5/15 + 4*v**2. Let p(q) be the third derivative of a(q). Solve p(n) = 0 for n.
-2, 1
Let g(c) = 7*c**2 + c**3 - 8*c - 4*c**2 + 11 + 5*c**2. Let i be g(-9). Find z such that -z**i - z + 4*z - 2*z = 0.
0, 1
Let g = -2 + 10. Let w(y) = -y**3 + 7*y**2 + 8*y + 4. Let v be w(g). Factor 2/9*q**v + 0*q + 0*q**2 + 2/9*q**3 + 0.
2*q**3*(q + 1)/9
Factor -21/5*f - 27/5*f**2 - 3/5*f**4 - 6/5 - 3*f**3.
-3*(f + 1)**3*(f + 2)/5
Let r be ((-18)/(-30))/((-1)/(-5)). Let z be (7 - 10)*(-4)/r. Suppose 0 - 4/9*b**z + 0*b**3 - 2/9*b**5 + 4/9*b**2 + 2/9*b = 0. What is b?
-1, 0, 1
Let o(a) be the second derivative of a**2/2 + 4*a. Let i(k) = k**3 - 3*k**2 + 3*k + 2. Let l(j) = 2*i(j) - 6*o(j). Find s such that l(s) = 0.
1
Suppose -4*f = 6*m - 7*m + 18, -5*f - 16 = 2*m. Factor 2/7 - 2/7*u**m + 2/7*u - 2/7*u**3.
-2*(u - 1)*(u + 1)**2/7
Factor 1 + 5*h + 9/4*h**2.
(h + 2)*(9*h + 2)/4
Let o be (-394)/(-70) - (12 + -8). Let p = o + -10/7. Factor 0 + p*k + 1/5*k**2.
k*(k + 1)/5
Let g(w) = -9*w**3 + 3 + 9*w + 3 - 2*w**2 - 2. Let t(y) be the third derivative of y**6/120 - y**4/24 - y**3/6 + 2*y**2. Let k(h) = -g(h) - 2*t(h). Factor k(l).
(l - 1)*(l + 1)*(7*l + 2)
Suppose 2*j = 4*a + 5*j + 23, -2*a - 3*j = 19. Let c(z) = 3*z**2 + 5*z + 2. Let h(l) = l**2 + 2*l + 1. Let u(f) = a*c(f) + 5*h(f). Factor u(k).
-(k - 1)*(k + 1)
Find o such that 3/2*o**2 - 3/4*o - 3/2 + 3/4*o**3 = 0.
-2, -1, 1
Let r(l) be the second derivative of -l**5/90 - 2*l**4/27 - 5*l**3/27 - 2*l**2/9 + 2*l. Factor r(p).
-2*(p + 1)**2*(p + 2)/9
Let p(f) = 2*f**3 - 6*f**3 + 7*f**2 - 5*f - 3 + 3*f**3 + 11. Let s be p(6). Let -g - s*g - 3*g**3 - 4 - 12*g**2 - 2 = 0. Calculate g.
-2, -1
Let x(r) be the second derivative of 0 + 0*r**2 - 1/30*r**5 + 0*r**3 + 2*r + 0*r**4. Factor x(d).
-2*d**3/3
Let b be (1*3/(-9))/(165/(-99)). Let y be ((-27)/15)/((-3)/2). Factor y*q**2 + b*q**4 - 4/5*q + 1/5 - 4/5*q**3.
(q - 1)**4/5
Let y(z) = -z**4 + z**3 + z - 1. Let t(a) = 2*a**4 - 3*a**3 - 3*a**2 + 3*a + 5. Let n(p) = -t(p) - y(p). Factor n(w).
-(w - 2)**2*(w + 1)**2
Let j be 1 - -1 - 4/(-2). Suppose j*f = 2*x + 18, -3*f - 3*x = -6*f + 21. Factor -z**3 - 1/2 + 1/2*z**5 + 1/2*z + z**f - 1/2*z**4.
(z - 1)**3*(z + 1)**2/2
Factor 4*z**2 - 4 - 7*z**2 + 4*z**2.
(z - 2)*(z + 2)
Let p(u) = u**3 - 6*u**2 - 8*u + 9. Let i be p(7). Find x such that -10/7*x**3 + 8/7*x**4 - 2/7 + 10/7*x - 6/7*x**i = 0.
-1, 1/4, 1
Let g = -46 - -233/5. Factor 18/5*q**2 - 36/5*q + 24/5 - g*q**3.
-3*(q - 2)**3/5
Factor -10*y + 1 + 1 + 5 - 3 + 6*y**2.
2*(y - 1)*(3*y - 2)
Let d(i) be the third derivative of 1/48*i**4 + 1/840*i**7 + 0*i**6 + 0*i - 4*i**2 - 1/80*i**5 + 0*i**3 + 0. Factor d(h).
h*(h - 1)**2*(h + 2)/4
Let s be 4/(-10)*1/(-12). Let u(q) be the third derivative of 0*q - s*q**5 + 0*q**3 - 1/12*q**4 + 0 + 4*q**2. Find f, given that u(f) = 0.
-1, 0
Let g(c) be the third derivative of -c**9/151200 + c**7/4200 - c**6/900 + c**5/30 + 7*c**2. Let o(y) be the third derivative of g(y). Factor o(s).
-2*(s - 1)**2*(s + 2)/5
Let h(v) = -4*v**2 - 10*v + 2. Let i(g) = -4 + 4 + g + g**2. Let a(w) = -h(w) - 6*i(w). Factor a(f).
-2*(f - 1)**2
Let j be ((-2)/(-3))/(2/30). Suppose -y + 4*q - 10 = -6*y, 5*y + 2*q = j. Factor 0*t + 2/7*t**4 - 4/7*t**y + 2/7 + 0*t**3.
2*(t - 1)**2*(t + 1)**2/7
Let n(v) be the third derivative of -v**6/540 - v**5/72 - v**4/36 - v**3/2 - 6*v**2. Let s(x) be the first derivative of n(x). Factor s(b).
-(b + 2)*(2*b + 1)/3
Suppose -7 = -3*b + 2*b. Let n be (0/b)/(2/(-1)). Factor -i - 3 + n + 1 + i**2.
(i - 2)*(i + 1)
Factor -3/2*y**2 - 3/2*y + 3.
-3*(y - 1)*(y + 2)/2
Let z be (2 - 1)/(30/145). Let g = z + -13/3. Factor -g + 1/2*u**2 + 0*u.
(u - 1)*(u + 1)/2
Let b(n) be the second derivative of -n**7/840 + n**6/180 - n**5/120 - n**3/3 - 4*n. Let t(j) be the second derivative of b(j). Suppose t(m) = 0. What is m?
0, 1
Let t = -42 - -45. Suppose -1/2*s**t + 3*s**2 - 6*s + 4 = 0. Calculate s.
2
Let a(g) be the second derivative of -g**6/135 + g**4/54 + 17*g. Factor a(r).
-2*r**2*(r - 1)*(r + 1)/9
Determine y so that -1 + 3 - 10*y + 3 + 5*y**2 = 0.
1
Let w(g) = -10*g - 5*g**2 - 8 - 2 + 4*g**2. Let i be w(-8). Factor 4 - i*l**2 - 2 - 4*l + 0.
-2*(l + 1)*(3*l - 1)
Let d(y) be the third derivative of 0*y**4 + 0*y + 0 + 0*y**3 - 1/150*y**5 + 5*y**2. Factor d(u).
-2*u**2/5
Factor -8*w**3 - 4 - 11*w + 8*w**4 - 4*w**2 + 0*w**3 + 21*w - 2*w**5.
-2*(w - 2)*(w - 1)**3*(w + 1)
Suppose 0*b + 8 = 2*b - t, 4*b = 5*t + 28. Factor 6*o**2 + 2*o**3 - 2*o**2 - 2*o**2 + 2*o + b*o**2.
2*o*(o + 1)**2
Let l(k) be the first derivative of 4*k**5/5 + k**4 - 4*k**3 - 2*k**2 + 8*k + 3. Factor l(f).
4*(f - 1)**2*(f + 1)*(f + 2)
Let m(x) be the second derivative of -x**6/10 + 3*x**5/4 - 9*x**4/4 + 7*x**3/2 - 3*x**2 + 3*x. Suppose m(u) = 0. What is u?
1, 2
Solve 3*r**2 - 3 - 6*r + 6 + 0 = 0.
1
Let j = 5 + -3. Determine s so that -2 + s**2 - s**3 + 0*s**2 + j*s**3 - s + 1 = 0.
-1, 1
Let r(l) be the second derivative of -l**4/12 + l**3/6 - 3*l. What is f in r(f) = 0?
0, 1
Suppose -x + 211 = 4*l, 2*l + 0*x - 103 = -3*x. Let m be l/20 - 16/40. Factor -9/4*u**2 + 0 + m*u**3 - 3/4*u**4 + 3/4*u.
-3*u*(u - 1)**3/4
Suppose -5*a = c - 15, -3*c - 6*a + 5*a = -17. Let v(q) = q**3 + 4*q**2 - 6*q - 1. Let o be v(-5). Determine l, given that -o - 2*l**2 - 3 + c - 4*l = 0.
-1
Suppose -9/4 + 3/4*f**3 - 15/4*f**2 + 21/4*f = 0. What is f?
1, 3
Let y(h) = -h**2 + 4*h + 5. Let o be y(6). Let b = 7 + o. Factor 2/9*k**3 + 2/9*k**4 + 0*k + b*k**2 + 0.
2*k**3*(k + 1)/9
Let g be (-15 - -11)*(-1)/2. Let t(o) be the second derivative of 0 + 1/48*o**4 + 2*o + 1/8*o**g + 1/12*o**3. Factor t(y).
(y + 1)**2/4
Let c(r) be the third derivative of r**6/360 - r**5/40 + r**4/12 - r**3/2 + 3*r**2. Let y(n) be the first derivative of c(n). Factor y(z).
(z - 2)*(z - 1)
Let r be (-12)/(-35)*(8 + 99/(-22)). Factor -6/5*z**3 - 3/5*z**4 + 3/5 + r*z + 0*z**2.
-3*(z - 1)*(z + 1)**3/5
Let t = 0 - -4. Suppose 10 = 2*r + t. Solve -2/5*c**4 + 0 - 6/5*c**2 - 6/5*c**r - 2/5*c = 0 for c.
-1, 0
Suppose 6*u = 500 - 110. Let b be -2 - (1 - 225/u). Find g such that 6/13*g + 2/13*g**3 - b*g**2 - 2/13 = 0.
1
Factor 2 - 2/3*s**4 - 4*s**3 + 2/3*s**5 + 10/3*s - 4/3*s**2.
2*(s - 3)*(s - 1)*(s + 1)**3/3
Factor -2/7*t + 2/7 + 2/7*t**3 - 2/7*t**2.
2*(t - 1)**2*(t + 1)/7
Let b(a) be the second derivative of 1/6*a**3 + 0*a**2 + 4*a + 0 + 1/40*a**5 + 1/8*a**4. Factor b(s).
s*(s + 1)*(s + 2)/2
Let v = 1573 + -1570. Solve -4/5*n + 0*n**v + 0 - 8/5*n**2 + 4/5*n**5 + 8/5*n**4 = 0 for n.
-1, 0, 1
Let s = -10 - -15. Let x(k) be the first derivative of -1 + 4/3*k**3 + 0*k**2 + 0*k**s + 3/2*k**4 - 1/3*k**6 + 0*k. Factor x(c).
-2*c**2*(c - 2)*(c + 1)**2
Factor 4/3 - 4/3*f**2 - 2/3*f**3 + 2/3*f.
-2*(f - 1)*(f + 1)*(f + 2)/3
Let w(s) be the third derivative of -s**5/160 - 3*s**4/32 + 7*s**3/16 - 20*s**2. Determine p so that w(p) = 0.
-7, 1
Let w(x) = x**2 + x - 3. Let j be w(0). Let r be (j/(-2))/((-3)/(-4)). Find q such that 0 + 1/2*q - 1/2*q**3 + 0*q**r = 0.
-1, 0, 1
Let s(c) = c**4 - c**3 + 2*c**2 - 5*c. Let b(j) = 2*j**2 - 4*j. Let k(p) = 3*b(p) - 2*s(p). Factor k(l).
-2*l*(l - 1)**2*(l + 1)
Factor -1/4*y + 3/4*y**3 + 1/2*y**2 + 0.
y*(y + 1)*(3*y - 1)/4
Let k be 9 + -13 - (-1228)/18. Let p = k + -64. Let -2/9*z**2 + 0 + p*z**3 + 0*z = 0. What is z?
0, 1
Suppose 7*i = 12*i. Suppose 0*t**3 + 0*t**2 - 1/2*t**5 + 0 - 1/2*t**4 + i*t = 0. What is t?
-1, 0
Let j(p) be the third derivative of p**4/6 + p**3/6 - p**2. Let h be j(1). Let 4*x**h + 2*x**2 + 9*x**4 - 7*x**3 - 7*x**4 - 7*x**5 + 6*x**4 = 0. Calculate x.
0, 2/3, 1
Factor -2*h + 3*h**2 + 9*h - h - 9 + 0*h.
3*(h - 1)*(h + 3)
Let l(g) be the first derivative of 16*g**4 + 32*g**3/7 - 18*g**2/7 - 8*g/7 + 6. Factor l(m).
4*(4*m + 1)**2*(7*m - 2)/7
Let p(o) = o**3 + 7*o**2 + 13*o + 45. Let k be p(-6). Determine n, given that 14/11*n**4 + 0 - 46/11*n**k + 40/11*n**2 - 8/11*n = 0.
0, 2/7, 1, 2
Let j = 155 - 78. Let s be (-2)/4 + j/98. Factor 2/7*b - 2/7*b**2 + 2/7 - s*b**3.
-2*(b - 1)*(b + 1)**2/7
Suppose 2*h = 4*v, 4*h - 5*h = 5*v. Determine y, given that h + 2/7*y**3 - 2/7*y + 2/7*y**4 - 2/7*y**2 = 0.
-1, 0, 1
Suppose -10 = -2*g - 2*t, -2*g + 0*t = -5*t - 38. Factor 0*w**4 + 3*w**4 + 8*w**3 + g*w - 15*w**2 + 12*w**3 - 17*w**3.
3*w*(w - 1)**2*(w 