+ s + 1.
(s + 2)**2/4
Factor 2*w**5 + 128*w + 28*w**4 + 66*w**3 - 119935 - 224*w**2 + 119935.
2*w*(w - 1)**2*(w + 8)**2
Suppose -26*x = -88*x - 14*x. Factor -1/7*b**2 + x + 0*b.
-b**2/7
Let a(n) be the second derivative of n**6/360 - n**5/24 - 19*n**3/6 - 9*n. Let g(v) be the second derivative of a(v). Suppose g(u) = 0. What is u?
0, 5
Let i(x) = 2*x**2 + 70*x - 1027. Let m(c) = -c**2 - 68*c + 1026. Let q(l) = 2*i(l) + 3*m(l). Factor q(r).
(r - 32)**2
Factor -16 + 16 - 6*n + 0*n + n**2.
n*(n - 6)
Let w be (4 + (-28)/(-7) - 8)/(2/1). Factor 0*g**2 + w*g + 0 - 1/2*g**4 - 1/2*g**3.
-g**3*(g + 1)/2
Let v = -626 - -630. Let d(a) be the second derivative of 2*a + 1/4*a**v + 0*a**2 - 1/40*a**5 + 0 - 3/4*a**3. Factor d(o).
-o*(o - 3)**2/2
Let o(g) be the third derivative of g**9/6048 - g**8/672 + g**7/240 - g**6/240 + 23*g**3/3 + 33*g**2. Let l(m) be the first derivative of o(m). Factor l(u).
u**2*(u - 3)*(u - 1)**2/2
Find u such that -2/11*u**4 - 8/11*u - 4/11*u**3 + 14/11*u**2 + 0 = 0.
-4, 0, 1
Let p(g) = -g**3 - 5*g**2 + 8*g + 6. Let h be p(-6). Let n be 10/3 + 2/h. Find m, given that -4 - 2 + m**n + 6 + m**4 = 0.
-1, 0
Let j(c) = 23*c**2 + 19*c - 14. Let d(s) = 11*s**2 + 9*s - 6. Let l(r) = -14*d(r) + 6*j(r). Find q, given that l(q) = 0.
-3/4, 0
Let y(i) = -6*i**3 + 23*i**2 + 6*i - 37. Let b(n) = -2*n**3 + 8*n**2 + 2*n - 12. Let l(s) = -7*b(s) + 2*y(s). Factor l(w).
2*(w - 5)*(w - 1)*(w + 1)
Let h(p) be the second derivative of p**6/24 + p**5/12 + 6*p**2 - 10*p. Let x(b) be the first derivative of h(b). Find l, given that x(l) = 0.
-1, 0
Let p = -14872/3 + 4958. Find x such that -2/3*x**5 + 4/3*x**3 - 8/3*x**2 + 4/3 + 4/3*x**4 - p*x = 0.
-1, 1, 2
Let q(x) be the second derivative of x**7/42 - x**6/15 + x**5/20 + 16*x + 4. Find i such that q(i) = 0.
0, 1
Let j = -9 - -8. Let m be j - (0 + 3 + -6). Factor -3*q**2 + q + 2*q**m + 1 + 4 - 3.
-(q - 2)*(q + 1)
Factor 23*r**2 - 201*r + 136*r - 2*r**2 + 6.
(r - 3)*(21*r - 2)
Let p(w) = 120*w**4 + 10*w**2 + 65*w + 65. Let j(y) = -11*y**4 - y**2 - 6*y - 6. Let u(b) = -65*j(b) - 6*p(b). Determine x so that u(x) = 0.
-1, 0, 1
Let t = 23080 - 23080. Factor -1/3*i**4 - 2/3*i**3 - 1/3*i**2 + 0*i + t.
-i**2*(i + 1)**2/3
Let u = 220 - 220. Let n(i) be the third derivative of 0 + u*i**4 - 1/210*i**7 + 0*i**5 + 2*i**2 + 0*i + 0*i**3 + 1/300*i**6. Factor n(k).
-k**3*(5*k - 2)/5
Factor -22/5*a**2 + 4/5*a**3 - 8*a - 14/5.
2*(a - 7)*(a + 1)*(2*a + 1)/5
Let w = 74173/173103 - -2/24729. Factor -3/7*t**3 - 12/7*t**2 + w*t + 12/7.
-3*(t - 1)*(t + 1)*(t + 4)/7
Let k = 579 + -579. Factor 1/4*c**3 + 0*c - 5/4*c**2 + k.
c**2*(c - 5)/4
Let r = 94 + -91. Factor -3*h**4 + 16*h**3 - 22*h**r + 0*h**2 + 0*h**2.
-3*h**3*(h + 2)
Let l(g) = -8*g + 133. Let r be l(22). Let j = 46 + r. Factor -6/5*m - 2/5*m**4 + 2/5*m**2 + 6/5*m**j + 0.
-2*m*(m - 3)*(m - 1)*(m + 1)/5
Let r(i) be the first derivative of 3*i**4 - 38*i**3/3 + 3*i**2 - 47. What is g in r(g) = 0?
0, 1/6, 3
Let z(t) be the first derivative of -t**4/28 + t**3/7 - 3*t**2/14 + 11*t + 2. Let p(a) be the first derivative of z(a). Factor p(q).
-3*(q - 1)**2/7
Factor -12*z - 2*z - 3*z**2 - 12 - 15 - 4*z.
-3*(z + 3)**2
Solve -3*x**3 + 5300*x**2 - 75*x - 42*x**3 - 5*x**4 - 5415*x**2 = 0 for x.
-5, -3, -1, 0
Let r = 297443/44616 + -1/14872. Factor 92/3*d + r*d**3 + 88/3*d**2 + 8.
4*(d + 1)*(d + 3)*(5*d + 2)/3
Let j(a) be the first derivative of a**6/420 - a**5/105 - 7*a**2/2 + 5. Let m(z) be the second derivative of j(z). Determine d, given that m(d) = 0.
0, 2
Let a(z) be the third derivative of z**5/15 - 11*z**4/120 - 3*z**3/10 + 13*z**2 - 2. Let a(y) = 0. What is y?
-9/20, 1
Suppose 10 = -a + 3*a. Let c be -2*1*a/(-2). Factor 0 + 1 + 5*m + c*m**2 + m.
(m + 1)*(5*m + 1)
Suppose -5173 = 19*l + 90. Let f = l + 280. Factor 0 + 4/5*r**f + 0*r - 4/5*r**2.
4*r**2*(r - 1)/5
Factor -61*j - 3*j**5 + 66*j**2 + 22*j + 21*j**4 + 9 + 4*j**3 - 58*j**3.
-3*(j - 3)*(j - 1)**4
Let o(x) be the second derivative of 0*x**4 - 49/5*x**5 + 0 + 0*x**3 - 27*x + 0*x**2 - 2/21*x**7 - 28/15*x**6. Factor o(i).
-4*i**3*(i + 7)**2
Let r(u) be the first derivative of 1/4*u**4 - 9/20*u**5 + 3/2*u**3 - 2*u - 3/2*u**2 + 5. Let n(l) be the first derivative of r(l). Solve n(h) = 0.
-1, 1/3, 1
Let z be -14*(-50)/(-160)*18/(-15). Determine k, given that -z*k**2 + 27/4*k**3 + 0 - 3/2*k = 0.
-2/9, 0, 1
Factor -2/3*r**4 + 0 + 8/3*r + 4*r**3 - 6*r**2.
-2*r*(r - 4)*(r - 1)**2/3
Find o such that 3 - 2*o**2 + 1/2*o**3 + 1/2*o = 0.
-1, 2, 3
Let k be 15/(-3) - -7 - -1*1. Let -4*z**4 - 16*z**5 - 2*z**4 + 10*z**4 + 16*z**k + z**2 - 5*z**2 = 0. What is z?
-1, 0, 1/4, 1
Let q(v) be the third derivative of -v**7/105 - v**6/15 - 128*v**2. Let q(a) = 0. Calculate a.
-4, 0
Suppose 0 = -5*i - 0 - 70. Let k be 1*-25*i/35. What is p in -4*p**3 + k*p**4 - 9*p**4 - 3*p**4 - 2*p**2 = 0?
-1, 0
Let v(g) = 2*g - 11. Let i be v(6). Let o(m) = 2*m**2. Let w be o(i). Factor 3*a**w - a**2 + 269*a - a**3 - 270*a.
-a*(a - 1)**2
Let g(n) be the second derivative of 0 + 0*n**2 + n**3 - 3/20*n**5 + 1/4*n**4 + 8*n. Suppose g(h) = 0. Calculate h.
-1, 0, 2
Factor 4/7*s**4 - 28*s**3 + 380/7*s**2 - 188/7*s + 0.
4*s*(s - 47)*(s - 1)**2/7
Let t(f) = f**3 - f**2 + f + 1. Let g(y) = -20*y**3 + 95*y**2 - 55*y + 25. Let b = -60 - -85. Let s(r) = b*t(r) - g(r). Factor s(j).
5*j*(3*j - 4)**2
Let g(z) be the third derivative of z**7/1260 + z**6/180 + z**5/60 + z**4/8 - 7*z**2. Let q(j) be the second derivative of g(j). Suppose q(w) = 0. What is w?
-1
Let c(h) be the third derivative of h**5/20 + 5*h**4/4 + 39*h**2 + 3. Find m, given that c(m) = 0.
-10, 0
Let h = -43/130 + 119/65. Let -1 - 1/2*r + h*r**2 + 1/2*r**3 - 1/2*r**4 = 0. What is r?
-1, 1, 2
Let m(k) be the first derivative of -k**3/3 + 2*k**2 + 12*k + 62. Factor m(b).
-(b - 6)*(b + 2)
Let r(t) = -75*t - 1 + 0 - t**3 + 74*t. Let d(x) = 8*x**3 - 15*x**2 + 23*x + 5. Let y(p) = -d(p) - 5*r(p). Factor y(f).
-3*f*(f - 3)*(f - 2)
Let u(y) be the first derivative of 2*y**5/5 - y**4/2 - 2*y**3 + y**2 + 4*y + 176. Suppose u(k) = 0. Calculate k.
-1, 1, 2
Let j(d) = d**3 - 6. Let t be j(2). Let y(v) be the second derivative of -v**3 + t*v + 9/20*v**5 + 1/4*v**4 + 0*v**2 + 0. Factor y(f).
3*f*(f + 1)*(3*f - 2)
Let m(c) be the third derivative of -c**2 - 25/6*c**4 - 125/27*c**3 + 0*c + 0 - 2/5*c**6 - 2*c**5. Factor m(r).
-2*(6*r + 5)**3/9
Let v(m) = -18*m**3 + 15*m**2 + 30*m - 27. Let t(f) = -f + 1. Let h(u) = -12*t(u) - v(u). Factor h(c).
3*(c - 1)*(c + 1)*(6*c - 5)
Let o(m) be the first derivative of -7*m**4/3 - 20*m**3 - 16*m**2 + 7*m + 10. Let a(g) be the first derivative of o(g). Factor a(t).
-4*(t + 4)*(7*t + 2)
Let a(y) be the first derivative of -2*y**3/21 + 96*y**2/7 - 4608*y/7 - 71. Factor a(p).
-2*(p - 48)**2/7
Factor 37/5*j**2 - 33/5*j + 2/5*j**4 + 9/5 - 3*j**3.
(j - 3)**2*(j - 1)*(2*j - 1)/5
Let m(f) be the third derivative of f**9/1008 + 3*f**8/280 + 3*f**7/70 + f**6/15 + 4*f**3/3 - 11*f**2. Let v(x) be the first derivative of m(x). Factor v(y).
3*y**2*(y + 2)**3
Let t(k) be the second derivative of k**7/21 + 7*k**6/15 + 4*k**5/5 - 8*k**4/3 - k - 19. Factor t(i).
2*i**2*(i - 1)*(i + 4)**2
Suppose 8 - 14 = -3*f. Let j(i) be the first derivative of 1/6*i**f + 2 + 0*i + 2/9*i**3 + 1/12*i**4. Factor j(h).
h*(h + 1)**2/3
Let n(d) be the first derivative of d**4/10 + 14*d**3/15 + 3*d**2 + 18*d/5 - 9. Factor n(h).
2*(h + 1)*(h + 3)**2/5
Suppose 1 - 10 = -w. Let 9 + 4*z**2 - 16*z**2 + w*z**2 - 3*z - 3 = 0. Calculate z.
-2, 1
Let q be 2/15 + (1324/(-30) - 4). Let u = q - -48. Solve u*w + 1/2*w**2 + 0 = 0.
0
Let v be (30/45)/(24/18 - 0). Factor -v*j**5 + 5/2*j**3 + 1/2*j**4 - 4*j - 2 - 1/2*j**2.
-(j - 2)**2*(j + 1)**3/2
Factor -2/17*z**2 - 144722/17 + 1076/17*z.
-2*(z - 269)**2/17
Suppose -6*r - 6 = -3*r. Let l be (-170)/(-60) - -1*r/(-12). Factor 5/2*p**2 + 1/2*p + 3/2*p**4 + 7/2*p**l + 0.
p*(p + 1)**2*(3*p + 1)/2
Let u be 26/702 - (-115)/540. Factor -1/4*k**3 + 0 + u*k**4 - 1/2*k**2 + 0*k.
k**2*(k - 2)*(k + 1)/4
Let 36/5*k**4 + 84/5*k**3 - 36/5*k + 8/5 + 4/5*k**2 = 0. What is k?
-2, -1, 1/3
Let x(f) = -2*f**2 - f + 2. Let l be x(1). Let m(y) = 2*y**2 + 2*y - 6. Let u(o) = -o**2 - o + 1. Let t(j) = l*m(j) + 2*u(j). Let t(d) = 0. What is d?
-2, 1
Factor 6 + 13*a + 29/3*a**2 + 3*a**3 + 1/3*a**4.
(a + 1)*(a + 2)*(a + 3)**