**3 - 4*k**s - 5*k + 8*k**2 + 4*k = 0.
-2, 0, 1
Suppose 24 = 83*g - 77*g. Suppose 6*m - 25 = 3*m - 5*q, -5*m + q + 23 = 0. Factor 0*w**3 - 1/6*w**m + 1/3*w**g + 1/6*w + 0 - 1/3*w**2.
-w*(w - 1)**3*(w + 1)/6
Let c(x) be the third derivative of 81*x**6/320 + 927*x**5/160 + 25*x**4/4 + 11*x**3/4 - 39*x**2. Factor c(n).
3*(n + 11)*(9*n + 2)**2/8
Let f(c) be the first derivative of 11*c**3 - c + 5. Let u be f(1). Solve -28*z**3 - 18*z**2 + 17 + 26*z - u*z**4 - 52*z**3 - 21 = 0 for z.
-2, -1, 1/4
Let u(j) be the third derivative of j**7/42 + 11*j**6/24 + 5*j**5/12 - 235*j**4/24 + 25*j**3 + 5*j**2. Factor u(d).
5*(d - 1)**2*(d + 3)*(d + 10)
Let d(v) = -25*v**2 + 1. Let t be d(1). Let s be 0 - (-21)/15*t/(-28). Factor -s*p + 6/5*p**2 - 2/5*p**3 + 2/5.
-2*(p - 1)**3/5
Let r(d) be the third derivative of 0*d - 1/20*d**5 - 9/2*d**3 - 12*d**2 + 3/4*d**4 + 0. Factor r(p).
-3*(p - 3)**2
Let p = 1585/132 + -143/12. Let k(a) be the second derivative of p*a**3 - 1/11*a**2 - a + 0 + 1/110*a**5 - 1/22*a**4. Find v, given that k(v) = 0.
1
Let k(n) be the second derivative of -n**7/57 - 8*n**6/57 - 51*n**5/190 - 5*n**4/57 + 8*n**3/57 + 6*n + 7. Let k(b) = 0. What is b?
-4, -1, 0, 2/7
Factor 0 - 6*h + 1/11*h**2.
h*(h - 66)/11
Factor 23/6 + 11/3*w - 1/6*w**2.
-(w - 23)*(w + 1)/6
Let b = 18/19 + -458/323. Let r = b + 81/136. Factor 3/8*s**3 - 3/8*s + r*s**4 + 1/8*s**2 - 1/4.
(s - 1)*(s + 1)**2*(s + 2)/8
Let h be -10*((-4696)/(-440) + -11). Determine n so that -2/11*n**2 - h*n - 162/11 = 0.
-9
Let i(m) be the second derivative of -3*m**5/4 - 9*m**4 + 78*m**3/5 - 48*m**2/5 - 94*m. Suppose i(j) = 0. Calculate j.
-8, 2/5
Let t = -1184 - -1280. Determine z, given that 72*z + 3/2*z**3 - t - 18*z**2 = 0.
4
Let w be -1 + -10 + 3 - 4. Let b be (w/8)/(2/(-4)). Solve -2*m**b - m - m + 63*m**2 - 67*m**2 = 0 for m.
-1, 0
Suppose 5*x = -0*x + 2*v + 28, -v = -3*x + 17. Suppose -3*q - p + 17 = 0, -5*p - 23 = 3*q - 60. Solve 12 + 75/2*w**3 + 81*w**2 + x*w**q + 66*w = 0 for w.
-2, -1/4
Let y = 34997 - 34994. Determine s, given that -21/4*s**4 - 12 + 3/4*s**5 + 21/4*s**y - 6*s + 69/4*s**2 = 0.
-1, 1, 4
Factor -12269 + 0*h**3 + 5*h**3 + 6460*h + 709 - 350*h**2.
5*(h - 34)**2*(h - 2)
Suppose -13*d = -9*d - 8. Let -3/2*c**4 + 0 + 3/2*c**d + 3/2*c**3 + 0*c - 3/2*c**5 = 0. Calculate c.
-1, 0, 1
Let u(g) be the second derivative of g**5/60 - g**4/24 + g**2 + 10*g. Let v(z) be the first derivative of u(z). Solve v(p) = 0.
0, 1
Suppose 3*i + 0*f = 4*f + 24, 2*i + 2*f = 16. Suppose w - 5*w = -i. Suppose -3*l**w - 6*l - 3/2 + 6*l**3 + 9/2*l**4 = 0. Calculate l.
-1, -1/3, 1
Let c(d) be the second derivative of d**6/6 - 5*d**4/12 + 81*d. Find v such that c(v) = 0.
-1, 0, 1
Let w(m) = -30*m**4 - 81*m**3 - 55*m**2 - 2*m. Let a(q) = 180*q**4 + 485*q**3 + 330*q**2 + 10*q. Let n(d) = 4*a(d) + 25*w(d). Solve n(r) = 0 for r.
-2, -1/2, -1/3, 0
Factor -3278*h**3 - 5391 + 1620*h + 3281*h**3 - 126*h**2 - 441.
3*(h - 18)**2*(h - 6)
Suppose 5*l = -5, 0 = 3*m + 4*l - 8 - 3. Factor 3*y - m*y - 5*y**2 - 3*y + 5*y**4 + 5*y**3.
5*y*(y - 1)*(y + 1)**2
Let h(b) be the second derivative of -2*b**7/21 - 2*b**6/15 + 2*b**5/5 - 546*b. Suppose h(v) = 0. Calculate v.
-2, 0, 1
Let z(d) be the first derivative of 1/2*d**4 + 0*d**2 + 0*d - 1/5*d**5 - 15 - 1/3*d**3. Factor z(a).
-a**2*(a - 1)**2
Find x such that 245 + 1805/4*x**2 + 560*x + 95/4*x**4 + 5/4*x**5 + 635/4*x**3 = 0.
-7, -2, -1
Suppose 8*s - 120 = 5*s. Let j be (-10)/s + (-29)/(-4). Factor -3*r + 4 + j*r - 2 + 2*r**2.
2*(r + 1)**2
Let u be 28466/(-18) - (-8)/(12/(-3)). Let r = 1585 + u. Factor r*p + 2/3*p**3 - 4/9 - 16/9*p**2.
2*(p - 1)**2*(3*p - 2)/9
Let k(l) be the second derivative of 0*l**2 - 1/70*l**5 + 2/21*l**3 + 0 - 1/42*l**4 + l. What is d in k(d) = 0?
-2, 0, 1
Let h(q) = q. Let t be h(-6). Let u = t + 16. Let f(c) = 4*c**2 - 2. Let l(s) = -9*s**2 - s + 5. Let p(d) = u*f(d) + 4*l(d). Find i, given that p(i) = 0.
0, 1
Let y(j) be the third derivative of j**6/90 + 13*j**5/45 - 179*j**2. Let y(h) = 0. What is h?
-13, 0
Let i be 768/360 + 10/(-75). Factor -1/4*n**3 + 1/2*n**i + 1/4*n - 1/2.
-(n - 2)*(n - 1)*(n + 1)/4
Suppose -h = -2*i - 0 - 1, h = -i - 2. Let x be (h - -1)*(60/(-18))/10. Factor 0*y + x - 1/4*y**3 - 1/4*y**2.
-y**2*(y + 1)/4
Let m(l) be the second derivative of l**7/14 - l**6/10 - 3*l**5/10 - 267*l. Factor m(j).
3*j**3*(j - 2)*(j + 1)
Let i(m) be the third derivative of -m**5/60 - 35*m**4/2 - 7350*m**3 + m**2 - 478*m. Factor i(t).
-(t + 210)**2
Let m(z) be the first derivative of 4*z**6/105 - 4*z**5/35 + 3*z**4/28 - 7*z**2/2 - 4. Let k(v) be the second derivative of m(v). Suppose k(b) = 0. Calculate b.
0, 3/4
Suppose -7 - 1 = -8*m. Factor -2*k**2 + m - 5 + 6*k**2 - k**3 + 3*k**3 - 2*k.
2*(k - 1)*(k + 1)*(k + 2)
Factor -t**2 - 5*t**4 - 14*t**3 - 5*t**4 + 3*t**3 + 9*t**4 - 9*t**2.
-t**2*(t + 1)*(t + 10)
Suppose -9*y - 117 = -153. Let a(p) be the third derivative of 0*p**y + 0*p**5 - 1/300*p**6 + 0*p - 1/525*p**7 + 0 + 0*p**3 + 3*p**2. Factor a(j).
-2*j**3*(j + 1)/5
Find o, given that -50/9*o + 2/9*o**2 + 16/3 = 0.
1, 24
Suppose 10*l + 969 = -2151. Let y be (-364)/l + (-5)/3 + 1. Find f, given that y*f - 1/2*f**2 + 0 = 0.
0, 1
Suppose 0 = -29*i + 4 - 4. Factor 1/2*r**2 - r + i.
r*(r - 2)/2
Let x(y) be the third derivative of 9*y**6/40 - 3*y**5/5 + y**4/2 + y**2 - 119. Suppose x(r) = 0. What is r?
0, 2/3
Suppose 0 = -3*j - 0*y + 2*y + 12, 0 = -3*j + y + 15. Let b be ((-9)/6)/(j/(-8)). Determine h, given that 0 + 0*h**b + 0*h**3 + 1/4*h**4 + 0*h = 0.
0
Let f be -1 + (-5 - -7) + 2. Let d(v) be the second derivative of 0*v**5 + 1/120*v**6 + 0*v**f - 5*v - 1/6*v**4 + 0 + 2*v**2. Find h such that d(h) = 0.
-2, 2
Let x(h) be the first derivative of -h**4/10 + 26*h**3/15 - 51*h**2/5 + 126*h/5 + 131. Factor x(m).
-2*(m - 7)*(m - 3)**2/5
Suppose 0 = 11*o - 99 - 44. Let j = -87/7 + o. Find h, given that -2/7*h**2 + j - 2/7*h = 0.
-2, 1
Let 14*g - 48/7 + 2/7*g**3 - 52/7*g**2 = 0. What is g?
1, 24
Let n(p) be the third derivative of 0 - 9*p**2 + 1/20*p**6 + 0*p**3 - 1/70*p**7 - 1/4*p**4 + 1/20*p**5 + 0*p. Factor n(g).
-3*g*(g - 2)*(g - 1)*(g + 1)
Let s(l) be the first derivative of 1 - 2*l + 5/12*l**3 + 1/40*l**5 - 1/6*l**4 - 1/2*l**2. Let o(c) be the first derivative of s(c). Solve o(z) = 0.
1, 2
Let l(j) be the third derivative of -1/3*j**4 + 0*j - 2*j**3 + 7*j**2 + 0 + 1/15*j**5. Suppose l(p) = 0. What is p?
-1, 3
Let q(k) be the second derivative of -3*k**7/7 + 29*k**6/15 - 12*k**5/5 + 2*k**4/3 - 159*k. Suppose q(s) = 0. Calculate s.
0, 2/9, 1, 2
Factor 0 + 6/5*r**3 + 28/5*r**2 + 6/5*r - 72/5*r**4.
-2*r*(3*r + 1)**2*(4*r - 3)/5
Let i(k) be the third derivative of -1/3*k**4 + 1/5*k**5 - 12*k**2 - 2/3*k**3 + 0*k + 0. Let i(x) = 0. Calculate x.
-1/3, 1
Let u(b) be the third derivative of b**6/90 + 2*b**5/9 - 23*b**4/18 + 8*b**3/3 + 80*b**2. Determine x, given that u(x) = 0.
-12, 1
Suppose -5*a + 28 = -k + 2*k, -5*k - 3*a = -52. Factor -4/3*s - 4/3*s**3 - k + 16/3*s**2.
-4*(s - 3)*(s - 2)*(s + 1)/3
Suppose 145 = 7*o + 33. Determine i, given that 5*i**2 - 7*i**2 - 16*i - 6*i**2 - o + 4*i**2 = 0.
-2
Let c(v) be the third derivative of -1/330*v**5 + 0*v - 21*v**2 + 0*v**3 - 1/132*v**4 + 0. Find a, given that c(a) = 0.
-1, 0
Let c(j) = 2*j + 0*j**2 + 4 - 6*j**2 + 2*j + 2*j**2. Let w(y) = -2*y**2 + 0*y**2 + y**2. Let h(b) = c(b) - 5*w(b). Factor h(x).
(x + 2)**2
Let h be ((-539)/231)/(7/(-6)). Let a be (1/(-15))/(4/(-24)). Factor 0 + 2/5*i - a*i**h.
-2*i*(i - 1)/5
Let k(q) be the third derivative of -q**7/840 + q**6/24 - 5*q**5/8 + 125*q**4/24 - q**3 + 5*q**2. Let j(c) be the first derivative of k(c). Solve j(g) = 0.
5
Let a(h) be the second derivative of 0 + 0*h**2 + 1/120*h**6 + 6*h + 0*h**5 + 1/12*h**3 - 1/16*h**4. Determine c so that a(c) = 0.
-2, 0, 1
Let g = 7 - 22. Let s be g/(-4) + 3/(-4). Factor 8*a**2 - 3*a**3 - 3*a**3 - 2*a**3 + 4*a**s - 4*a.
-4*a*(a - 1)**2
Let j(m) be the third derivative of -m**8/28 - 2*m**7/35 + 27*m**6/40 + m**5/10 - 19*m**4/8 + 3*m**3 - 14*m**2. Suppose j(p) = 0. What is p?
-3, -1, 1/2, 2
Suppose -26/11*n + 2/11*n**2 + 0 = 0. Calculate n.
0, 13
Suppose 11 = -4*z - 13. Let n be ((-4)/(-3))/((-4)/z). What is c in n*c**3 - c**3 + c**3 - 10*c**2 - 2 + 6*c + 4*c**2 = 0?
1
Suppose -3*v + 3*b = -18, 5*b = 3*v - 0*b - 22. Let o be (v/(