2 - p + 17. Let r(k) = 4*c(k) - 9*y(k). Suppose r(x) = 0. What is x?
-2
Suppose -194 = -8*f + 6*f. Let d = f - 96. Determine o, given that -d + 3/2*o - 1/2*o**2 = 0.
1, 2
Let m(l) be the third derivative of l**8/131040 + l**7/8190 + l**6/1170 - 11*l**5/60 + 21*l**2. Let f(j) be the third derivative of m(j). Factor f(i).
2*(i + 2)**2/13
Let v be -166 + (-1)/(-5)*0. Let f = v + 166. Solve f - 1/3*r**2 + r = 0 for r.
0, 3
Let w = -15064/3 - -4888. Let r = w + 134. Factor -r*l - 80/3*l**4 - 32/3*l**5 + 0 - 22*l**3 - 20/3*l**2.
-2*l*(l + 1)**2*(4*l + 1)**2/3
Let k(u) be the third derivative of -u**10/75600 - u**9/7560 - u**8/2016 - u**7/1260 + u**5/20 - 13*u**2. Let j(v) be the third derivative of k(v). Factor j(l).
-2*l*(l + 1)**2*(l + 2)
Let z(p) = -14*p**3 + 52*p**2 - 78*p - 5. Let b(c) = -6*c**3 + 26*c**2 - 40*c - 2. Let y(h) = 5*b(h) - 2*z(h). Factor y(x).
-2*x*(x - 11)*(x - 2)
Let x(v) be the first derivative of -v**5/90 + v**4/18 - v**3/9 + v**2/9 - 4*v - 16. Let r(q) be the first derivative of x(q). Factor r(c).
-2*(c - 1)**3/9
Suppose n + n - 14 = 0. Let b be 2/11*-4*n/(-28). Let -4/11*q**2 + 0 + b*q + 2/11*q**3 = 0. Calculate q.
0, 1
Let z(y) be the third derivative of y**8/756 + 2*y**7/315 - 2*y**6/135 - 16*y**5/135 + 32*y**3/27 - 7*y**2 + 14. Factor z(m).
4*(m - 2)*(m - 1)*(m + 2)**3/9
Let q(l) = -40*l**4 + 108*l**3 - 140*l**2 + 84*l - 24. Let m(y) = -y**5 - y**4 + y**3 - y**2 - 1. Let z(g) = -4*m(g) + q(g). Factor z(i).
4*(i - 5)*(i - 1)**4
Let c(f) = -9*f**2 - 6*f - 97. Let v(j) = -5*j**2 - 2*j - 50. Let h(p) = 6*c(p) - 11*v(p). Factor h(m).
(m - 16)*(m + 2)
Let n(s) be the second derivative of -s**6/300 + 3*s**5/50 - 2*s**4/5 + 16*s**3/15 - 7*s**2/2 - 8*s. Let g(m) be the first derivative of n(m). Factor g(a).
-2*(a - 4)**2*(a - 1)/5
Suppose 101*u - 28 = 93*u - 4. Factor -2/11*k**2 + 4/11*k**5 - 10/11*k**4 + 0*k + 8/11*k**u + 0.
2*k**2*(k - 1)**2*(2*k - 1)/11
Suppose 10 = 5*d - 5. Suppose 15 = 2*f - f + d*v, -f = -2*v + 10. Factor f - 1/2*p + 1/2*p**2.
p*(p - 1)/2
Let u(c) = c**2 + 82*c. Let d be u(-82). Find v, given that -16/13*v**2 - 2/13*v**5 + 8/13*v + 6/13*v**3 + 4/13*v**4 + d = 0.
-2, 0, 1, 2
Let o(x) = 3*x**3 - 2*x**2 + x. Let d(k) = k**3 + 6*k**2 + 5*k + 1. Let g be d(-5). Let b be o(g). Factor -3*z - 3*z**2 - 3*z**2 + 3*z**b.
-3*z*(z + 1)
Suppose 18*w - 40 = 10*w. Let r = w - 3. Determine t so that -32/3*t**3 - 48*t**r - 22*t - 8/3 = 0.
-4, -1/4
Let u(y) be the first derivative of y**6/1440 + y**5/240 + y**4/96 - y**3 + 7. Let a(m) be the third derivative of u(m). Determine f, given that a(f) = 0.
-1
Let i = -663/7 + 3343/35. Suppose -i*h + 4/5*h**2 - 8/5 = 0. Calculate h.
-1, 2
Let p be ((-4470)/(-375) - 13)*-10. Factor -18/5*w**2 - p*w - 2/5*w**3 - 54/5.
-2*(w + 3)**3/5
Suppose -20 = 21*r - 482. Suppose 4*w - r = -3*i, 0 = -4*i - 3 + 11. Factor 0*a + 1/6*a**5 - 1/6*a**3 - 1/6*a**2 + 1/6*a**w + 0.
a**2*(a - 1)*(a + 1)**2/6
Let o(t) be the second derivative of -t**6/8 - 5*t**5/6 + 15*t**4/8 + 10*t**3/3 - 2*t**2 + 12*t. Let u(g) be the first derivative of o(g). Factor u(r).
-5*(r - 1)*(r + 4)*(3*r + 1)
Let t(u) be the first derivative of 4/9*u**3 + 0*u + 1 + 1/12*u**4 + 2/3*u**2. Factor t(q).
q*(q + 2)**2/3
Let z(i) be the second derivative of 5*i**4/12 - 20*i**3/3 + 40*i**2 - 3*i + 14. Factor z(s).
5*(s - 4)**2
Let k(w) = w - 6 + 15 - 4*w. Let l be k(3). Factor l*q + 0*q**4 + 0*q**2 - 1/6*q**5 + 1/6*q**3 + 0.
-q**3*(q - 1)*(q + 1)/6
Let s = -21 + 25. Factor -2*m + 6*m - s*m**2 - 6 + 6.
-4*m*(m - 1)
Let k(m) be the first derivative of -m**6/6 - 3*m**5/4 + 5*m**4/12 + 5*m**3/2 + 6*m + 33. Let s(c) be the first derivative of k(c). Factor s(d).
-5*d*(d - 1)*(d + 1)*(d + 3)
Let d(f) be the second derivative of 27*f**7/28 - 27*f**6/5 + 441*f**5/40 - 45*f**4/4 + 19*f**3/3 - 2*f**2 - 2*f - 42. Let d(u) = 0. What is u?
1/3, 2/3, 2
Let a be (-1 - 0)/(-1 + 0 + 117/(-702)). Determine w, given that -16/7 - 20/7*w + a*w**2 = 0.
-2/3, 4
Let a(l) be the third derivative of -l**7/210 + l**6/12 - l**2 + 54. Find s such that a(s) = 0.
0, 10
Let f be ((-3)/2)/(3/(-8)). Let d = -28756 - -143784/5. Factor 4/5*m**f + d*m**2 + 6/5*m**3 + 0 + 1/5*m**5 + 1/5*m.
m*(m + 1)**4/5
Let v = -1398/55 - -394/11. Factor v*w**3 + 0 + 16/5*w + 24/5*w**4 + 4/5*w**5 + 48/5*w**2.
4*w*(w + 1)**2*(w + 2)**2/5
Let b be (-567)/(-2457) + 54/104. Let q = -3 + 5. Solve 3/4*o - 3/4 + 3/4*o**q - b*o**3 = 0 for o.
-1, 1
Let n(o) be the third derivative of o**8/224 - 19*o**7/420 + 4*o**6/45 - o**5/18 - 129*o**2. Factor n(i).
i**2*(i - 5)*(3*i - 2)**2/6
Solve 4*r**5 - 26*r**3 + 4*r**5 + 8*r + 50*r**4 + 116*r**3 - 6*r**3 + 50*r**2 = 0 for r.
-4, -1, -1/4, 0
Suppose -p = -3*p + 4. Suppose w - 3*w + 2 = -k, 4*w = -k + 16. Let -4/5*g**4 + 3/5*g**5 + 4/5*g**p - 1/5*g - 2/5*g**w + 0 = 0. What is g?
-1, 0, 1/3, 1
Let q(t) be the third derivative of 0 - 3/8*t**4 - 3/160*t**6 - 27*t**2 - 1/840*t**7 - 2/3*t**3 + 0*t - 7/60*t**5. Let q(g) = 0. What is g?
-4, -2, -1
Find f such that -1/2*f**2 + 5/2*f - 3/2 - 1/2*f**3 = 0.
-3, 1
Let p(i) = 6*i**2 + 4*i. Let s(g) = g**3 + g + 1. Suppose 3*t + 3*q + 11 = t, 0 = 4*t - 5*q + 11. Let r(m) = t*s(m) - 2*p(m). Factor r(a).
-4*(a + 1)**3
Let d(o) be the second derivative of 3 - 2/7*o**3 + 10*o + 1/42*o**4 + 9/7*o**2. Suppose d(y) = 0. Calculate y.
3
Let q(h) = 2*h**2 - 27*h + 30. Let t be q(12). Let p be (-8)/(-2) - (5 - (-3 - t)). Factor 0*f + 2/9*f**4 + 0 + 4/9*f**3 + 0*f**p.
2*f**3*(f + 2)/9
Let i(k) be the first derivative of k**6/27 - 14*k**5/45 + k**4/3 + 242. Factor i(v).
2*v**3*(v - 6)*(v - 1)/9
Let v(p) be the first derivative of -1/4*p**5 + 5/12*p**3 + 0*p + 2 + 5/8*p**2 - 5/16*p**4. Solve v(j) = 0.
-1, 0, 1
Let t = -24 + 56. Find z such that -55*z**4 - 4*z**3 + 43*z**4 + 30*z**2 + 26*z**2 + 16*z - t = 0.
-2, -1, 2/3, 2
Let w(p) be the first derivative of 65*p**3/3 + 50*p**2 - 60*p - 201. Suppose w(s) = 0. What is s?
-2, 6/13
Let v(r) be the second derivative of r**5/10 + r**4/2 - r + 12. Solve v(o) = 0.
-3, 0
Determine h so that -68/5 - 2/15*h**2 - 74/15*h = 0.
-34, -3
Determine a so that 93/5*a**2 - 21/5*a**4 + 39/5*a**3 + 12*a - 3*a**5 + 12/5 = 0.
-1, -2/5, 2
Suppose -9*j = 6*j - 5*j. Let v(s) be the second derivative of 0 - 1/2*s**3 - 3/4*s**4 + j*s**2 + s. Factor v(b).
-3*b*(3*b + 1)
Let r be 18/(-99) + 2/11. Let m(c) be the second derivative of -1/10*c**2 - 1/150*c**6 + 1/30*c**4 + 0 + 4*c + 0*c**5 + r*c**3. Factor m(f).
-(f - 1)**2*(f + 1)**2/5
Factor -1/5*z**2 + 0 + 2/5*z - 1/5*z**3.
-z*(z - 1)*(z + 2)/5
Let l be (4/5)/(196/(-35) - -6). Let o(u) = u**3 - 7*u**2 - 8*u + 8. Let j be o(8). What is c in 2*c**2 + c**l - 4*c**2 + 9 - j = 0?
-1, 1
Suppose 6*g = 62 - 14. Solve -w**3 + 25*w**5 - 45*w**4 - 16*w + 4 + 22*w**2 - g*w + 19*w**2 = 0 for w.
-1, 2/5, 1
Let -7*z**4 + 8*z - 147*z**2 - 2*z**5 + 3*z**5 + 127*z**2 + 18*z**3 = 0. Calculate z.
0, 1, 2
Let p = 11917 - 11917. Factor 0*a + 0*a**4 + a**2 - 1/2*a**5 + p + 3/2*a**3.
-a**2*(a - 2)*(a + 1)**2/2
Let s(d) be the third derivative of -d**6/300 + d**5/75 + d**4/4 - 246*d**2. Let s(m) = 0. Calculate m.
-3, 0, 5
Solve 4/11*o**2 - 4/11 - 34/11*o**3 + 34/11*o = 0 for o.
-1, 2/17, 1
Suppose 8/3*q**2 + 6 - 8*q = 0. What is q?
3/2
Let u(k) = k**2 - 14*k + 40. Let c be u(8). Let j be (60/c)/(135/(-20)). Factor -j*r**3 - 8/9*r + 0 + 8/3*r**2.
-2*r*(r - 2)*(5*r - 2)/9
Let t = -815 + 19565/24. Let w(x) be the second derivative of -6*x - 1/40*x**5 - 2/3*x**3 + x**2 + 0 + t*x**4. Factor w(c).
-(c - 2)**2*(c - 1)/2
Let o be (1/7)/(1*12/(-42))*0. Let g be -2 - (90/8)/(-5). Factor o*u - 1/2*u**2 - u**4 - 5/4*u**3 - g*u**5 + 0.
-u**2*(u + 1)**2*(u + 2)/4
Factor 30*y - 5 + 34*y**2 + 1 + 25*y**2 - 25*y**2.
2*(y + 1)*(17*y - 2)
Let h(t) be the second derivative of -t**5/20 - 5*t**4/9 - 2*t**3 - 8*t**2/3 + 8*t + 2. Find o such that h(o) = 0.
-4, -2, -2/3
Let f(n) = n + 2 + 0*n - 2. Let q be f(2). Factor 2 - 4*r**2 - q - 2*r**4 + 4*r**3 + r**4.
-r**2*(r - 2)**2
Let f = -62 + 19. Let t = f + 46. Factor -2/11*h**t + 2/11*h + 2/11*h**2 - 2/11.
-2*(h - 1)**2*(h + 1)/11
Let t be (-6)/(-33) + 135/(-198) - -3. Solve 1/2*i**5 - 3/2 + t*i + 1/2*i**4 - 3*i**3 + i**2 = 0.
-3, -1, 1
Let v be ((-450)/(-20))/15*-1*-2. What is t in 2/5*t**v + 0*t + 0*t**2 + 0 - 2/5*t**4 = 0?
0, 1
Let u(z) be the first derivative o