1 - 4). Factor -x*f - p*f**2 - 4/7.
-(f + 2)**2/7
Let o(s) be the third derivative of -s**5/60 - s**4/12 - s**3/6 - 39*s**2 - s. Factor o(k).
-(k + 1)**2
Factor 2*g**2 + 4*g**2 - 40 + 10*g + 4*g**2 + 9*g**2 + 5*g**3 + 6*g**2.
5*(g - 1)*(g + 2)*(g + 4)
Let z(g) be the third derivative of g**5/12 + 5*g**4/2 - 425*g**3/6 - 2*g**2 - 16. Solve z(d) = 0.
-17, 5
Factor 38/15*b**2 - 2/15*b**3 + 0*b + 0.
-2*b**2*(b - 19)/15
Let u be 9069/15 - 1 - (-2)/5. Let t = -7844/13 + u. Solve 2/13 + 12/13*r + 18/13*r**2 + t*r**3 = 0 for r.
-1, -1/4
Let u = 49674/7 + -7096. Suppose u*w**3 + 4/7*w - 6/7*w**2 + 0 = 0. Calculate w.
0, 1, 2
Suppose -208*j = -178*j. Factor -1/2*a**3 + j*a + 0 - a**2.
-a**2*(a + 2)/2
Let p(k) be the third derivative of -k**6/180 - k**5/15 - 11*k**4/36 - 2*k**3/3 - 4*k**2 - 22*k. Determine u, given that p(u) = 0.
-3, -2, -1
Determine r so that 64/7 + 6/7*r**3 - 40/7*r**2 - 72/7*r = 0.
-2, 2/3, 8
Let y(g) be the third derivative of -g**5/60 + g**4/2 - g**2 - 71. Factor y(m).
-m*(m - 12)
Let r = 68 - 66. Suppose i - 2*i = -12. Find t, given that -15*t**4 + 8*t**5 + 9*t**r + 3*t**2 - 2*t**5 + 3 - i*t + 6*t**3 = 0.
-1, 1/2, 1
Let x(c) be the second derivative of 0 + 9*c + 1/5*c**5 - 2*c**2 + 5/6*c**4 + 1/3*c**3. Factor x(d).
2*(d + 1)*(d + 2)*(2*d - 1)
Let z be 0/(2/(8/(-4))). Suppose z*n - 6*n = -18. Determine i so that 80*i**2 - 280*i**4 + 192*i**5 + 16*i + 8*i**5 - 7*i**3 - 4*i**5 - 5*i**n = 0.
-2/7, 0, 1
Suppose 2*f + 12 = m, 0 = 5*f - 4*m - m + 35. Let q be ((-6)/f)/((-28)/(-175)). Factor -1/2*x - q*x**2 + 1.
-(3*x - 1)*(5*x + 2)/2
Suppose 232 = -0*u + 8*u. Factor -u*h - h - 2*h**3 - 282 + 264 - 14*h**2.
-2*(h + 1)*(h + 3)**2
Let s = -4 - -7. Let a = 363 + -1087/3. Suppose 0*p**2 - a*p**s + 2/3*p + 1/3*p**4 - 1/3 = 0. What is p?
-1, 1
Let h(y) be the second derivative of y**5/100 + 5*y**4/6 + 49*y**3/30 + 116*y. Factor h(n).
n*(n + 1)*(n + 49)/5
Let x(m) = 4*m**4 + 32*m**3 - 12*m**2 - 16*m + 8. Let f(d) = -d**3 + d**2 - d - 1. Let r(u) = 8*f(u) + x(u). Find t, given that r(t) = 0.
-6, -1, 0, 1
Solve -2/5*c**3 + 56/5 - 8/5*c**2 + 10*c = 0.
-7, -1, 4
Let k be 5/4 + 45/60. Let m(c) be the second derivative of 0*c**3 - 3*c + 0 - 1/36*c**4 + 1/6*c**k. Find s such that m(s) = 0.
-1, 1
Solve -351*s - 174*s**2 - 11*s**3 + 43*s**2 + 49*s**2 - 2*s**4 + 243 - 30*s**3 - 167*s**2 = 0 for s.
-9, -3, 1/2
Let g(i) = i**3 + 8*i**2 - 11*i - 13. Suppose -7*x = -8*x - 9. Let b be g(x). Factor n**4 + 1/2*n + 0*n**3 + 0 - n**2 - 1/2*n**b.
-n*(n - 1)**3*(n + 1)/2
Let d = 347 + -345. Factor 1/4*x**4 + 0 + 3/4*x**d - 3/4*x**3 - 1/4*x.
x*(x - 1)**3/4
Let c = 24269 + -48535/2. Factor c*v**5 + 0*v**4 - 9/2*v + 12*v**2 - 9*v**3 + 0.
3*v*(v - 1)**3*(v + 3)/2
Let n(x) be the third derivative of 3*x**6/280 - 5*x**5/28 + 29*x**4/56 - x**3/2 + 19*x**2. Let n(l) = 0. What is l?
1/3, 1, 7
Suppose -13*b + 834 = 3*j - 10*b, 4*b = -3*j + 831. Let c = 1411/5 - j. Factor -3/5 - c*l - 3/5*l**2.
-3*(l + 1)**2/5
Let n be (-5)/(-2) - (-45)/18. Let t(o) be the third derivative of 8*o**2 + 0 - 1/2*o**3 + 0*o + 1/60*o**n + 1/12*o**4. Factor t(a).
(a - 1)*(a + 3)
Suppose -188*m = -213*m. Suppose m - 6/13*r**3 - 10/13*r**2 + 4/13*r = 0. Calculate r.
-2, 0, 1/3
Suppose l = -18 + 10, -2*t = 2*l + 12. Factor 1/4*m**t - 1/4 + 0*m.
(m - 1)*(m + 1)/4
Let u be ((-36)/20 + 1)/((-4)/190). Let d = -36 + u. Factor -3/2*p + 3/2*p**3 + 3/2*p**d - 3/2.
3*(p - 1)*(p + 1)**2/2
Let h = 31 + -13. Factor 35 - 13*g - 5*g**2 - 12*g - h - 47.
-5*(g + 2)*(g + 3)
Let r(j) = -j - 28. Let x be r(-14). Let k be (((-4)/x)/(-1))/((-92)/161). What is s in 1/4*s + 1/2 - k*s**2 - 1/4*s**3 = 0?
-2, -1, 1
Let x(h) be the third derivative of -1/840*h**8 + 0*h**4 + 0*h + 0*h**5 - 1/150*h**6 + 0*h**3 + 0 - 1/175*h**7 + 24*h**2. Factor x(j).
-2*j**3*(j + 1)*(j + 2)/5
Let d(h) = -4*h**3 - 36*h**2 - 50*h - 18. Let p(u) = -u**3 - u**2 + u + 1. Let x(t) = d(t) + 10*p(t). Solve x(k) = 0.
-2, -1, -2/7
Let g(p) be the first derivative of 0*p + 21/22*p**4 - 4/33*p**3 - 52 - 8/11*p**2. Find f, given that g(f) = 0.
-4/7, 0, 2/3
Factor -8*j + 2/3*j**2 - 56/3.
2*(j - 14)*(j + 2)/3
Let f = -14259 + 14264. Determine h, given that 15*h**3 + 0 + 0*h + 51/4*h**4 + 3*h**2 + 3*h**f = 0.
-2, -1/4, 0
Let i(u) = -5*u**3 + 7*u**2 - 6*u - 30. Let z(h) = h**3 + h**2 + h + 5. Let g(f) = i(f) + 6*z(f). Solve g(n) = 0 for n.
-13, 0
Let h(p) be the third derivative of p**8/1176 - 2*p**7/245 - 2*p**6/105 + p**5/35 + p**4/12 + 30*p**2 - 9. Suppose h(a) = 0. What is a?
-1, 0, 1, 7
Let 11/5 + 9/5*i**2 + 21/5*i - 1/5*i**3 = 0. Calculate i.
-1, 11
Let v(k) = k**2 - 28*k - 81. Let i(m) = m**2 - 28*m - 85. Let t(a) = 6*i(a) - 4*v(a). Factor t(j).
2*(j - 31)*(j + 3)
Suppose 4*a + 152 = -5*v + 649, 4*v - 402 = -a. Determine k so that -51*k - 5*k**3 - 45*k + v*k = 0.
-1, 0, 1
Let t(g) be the first derivative of -g**4/4 + 7*g**3/3 - 3*g**2 - 146. Factor t(n).
-n*(n - 6)*(n - 1)
Let m = 2 - 0. Let n be (16/2)/(153/7 + 391/2737). What is y in -12/11*y**3 + 6/11 + 10/11*y + 2/11*y**5 - 2/11*y**4 - n*y**m = 0?
-1, 1, 3
Factor 0 - 10*w**3 + 5 + 19*w**2 - 86*w + 31 - 21*w**4 + 19*w**4 + 43*w**2.
-2*(w - 2)*(w - 1)**2*(w + 9)
Suppose -356*t = -342*t - 42. Factor -9/8*s**t + 0 + 1/4*s**2 + 0*s.
-s**2*(9*s - 2)/8
Let m = 1/1565 - -297/25040. Let p(u) be the second derivative of -1/96*u**4 + 5*u + 0 + 0*u**2 + 0*u**3 - 1/240*u**6 + m*u**5. Factor p(c).
-c**2*(c - 1)**2/8
Let i(h) be the third derivative of h**8/112 - h**7/10 - h**6/40 + 7*h**5/20 + h**2 - 15. Solve i(j) = 0.
-1, 0, 1, 7
Let g(w) be the second derivative of -5/4*w**4 + 0*w**3 + 0 + 1/4*w**5 + 22*w + 10*w**2. Factor g(b).
5*(b - 2)**2*(b + 1)
Factor 0*r**2 + 0 - 36/5*r**5 + 8/5*r**3 + 28/5*r**4 + 0*r.
-4*r**3*(r - 1)*(9*r + 2)/5
Let a(d) = -3*d**2 + 6*d - 1. Let f(t) = -43 + 24 + 7*t**2 + 20 - 13*t. Let j(u) = 15*a(u) + 6*f(u). Factor j(p).
-3*(p - 3)*(p - 1)
Let c(m) be the first derivative of -m**5/40 + m**4/24 - 8*m - 2. Let h(t) be the first derivative of c(t). Factor h(p).
-p**2*(p - 1)/2
Let c(l) be the third derivative of 1/36*l**4 - 1/1512*l**8 + 0 + 1/315*l**7 - 1/135*l**5 + 2*l**2 + 0*l - 1/27*l**3 - 1/270*l**6. Factor c(s).
-2*(s - 1)**4*(s + 1)/9
Let f(k) be the first derivative of -15/2*k**2 - k**5 - 9 + 10*k + 15/4*k**4 - 5/3*k**3. Solve f(s) = 0.
-1, 1, 2
Factor -453/8*f - 57 + 3/8*f**2.
3*(f - 152)*(f + 1)/8
Determine j so that 631*j**5 - 325*j**4 + 58320 + 3059*j**3 + 93960*j + 40005*j**2 + 976*j**3 - 626*j**5 = 0.
-3, -1, 36
Let d(l) be the first derivative of -13*l**4/2 + 3*l**3 + 15*l**2/2 + 2*l - 104. Factor d(w).
-(w - 1)*(2*w + 1)*(13*w + 2)
Let r = -4 - -3. Let p = r - -3. Factor 0*j - 4*j + 3*j + 5*j**p - j.
j*(5*j - 2)
Let p(w) be the first derivative of 0*w - 2/25*w**5 + 1/10*w**4 - 1/5*w**2 + 13 + 2/15*w**3. Factor p(i).
-2*i*(i - 1)**2*(i + 1)/5
Let f(j) be the third derivative of -j**5/150 - 24*j**4/5 - 6912*j**3/5 - 207*j**2. Determine l so that f(l) = 0.
-144
Let o(u) be the first derivative of -u**5/60 - u**4/18 - u**3/18 - 2*u + 5. Let x(q) be the first derivative of o(q). Factor x(s).
-s*(s + 1)**2/3
Let v(y) be the second derivative of 0 + 0*y**3 - 16*y + 2*y**2 - 1/3*y**4. Factor v(k).
-4*(k - 1)*(k + 1)
Let k(w) be the second derivative of w**5/25 + w**4/15 - 14*w**3/5 - 18*w**2 + 16*w. Factor k(j).
4*(j - 5)*(j + 3)**2/5
Let v(y) be the second derivative of -y**6/480 + y**5/80 + 3*y**4/32 + 35*y**3/6 + 21*y + 2. Let i(j) be the second derivative of v(j). Factor i(d).
-3*(d - 3)*(d + 1)/4
Factor 200/3 - 208/3*r + 58/3*r**2 - 2/3*r**3.
-2*(r - 25)*(r - 2)**2/3
Let g(i) be the second derivative of 9/50*i**6 - 1/2*i**5 - 1/42*i**7 + 0*i**2 + 0 + 13*i + 3/5*i**4 - 4/15*i**3. Let g(k) = 0. Calculate k.
0, 2/5, 1, 2
Let r be ((-6)/468*8)/(6/(-9)). Let m = -11382/13 - -876. Suppose -r*z**2 - 4/13 + m*z = 0. Calculate z.
1, 2
Let g(x) be the third derivative of -x**7/280 - x**6/45 - 7*x**5/120 - x**4/12 + x**3/6 - 7*x**2. Let b(c) be the first derivative of g(c). Factor b(r).
-(r + 1)**2*(3*r + 2)
Let c(x) be the third derivative of -x**8/112 + x**7/10 - 2*x**6/5 + 3*x**5/5 + 94*x**2 + 2*x. Find f such that c(f) = 0.
0, 2, 3
Let w(i) = -3*i**3 + 20*i**2 - 25*i + 14. Let v(l) = -3*l**3 + 21*l**2 - 24*l + 15. Let t(k) = -2*v(k) + 3*w(k). Suppose t(p) = 0. What is p?
1, 4
Supp