432 + 84*a**2 - 632*a - 2*a**3 + 69*a**3 = 0.
-27, -2, 1, 2
Let k = -7/28145 + 115591571/225160. Factor 3/8*g**3 + k*g - 111/4*g**2 + 0.
3*g*(g - 37)**2/8
Let o be -1*(-8 - (4 + 0)). Suppose 5*u + 18*n - 17*n - o = 0, -2*u - 3 = 3*n. Factor -8/3*s**2 - 10/3*s - 4/3 - 2/3*s**u.
-2*(s + 1)**2*(s + 2)/3
Suppose -3*j + 4 = -j. Suppose 99*z - 36 = 93*z. Factor z*a**j - 9 + 10 - a**2 - 6.
5*(a - 1)*(a + 1)
Suppose 380 + 4*o**3 + 16*o**4 - 28*o - 464*o**2 + 24*o + 68*o**2 = 0. Calculate o.
-5, -1, 1, 19/4
Let w(x) be the first derivative of 84 - x**2 + 4/3*x + 2/9*x**3. Factor w(k).
2*(k - 2)*(k - 1)/3
Let j = -392 - -452. Factor 60*q + j*q + 3*q**2 + 58*q + 18 + 61*q - 254*q.
3*(q - 3)*(q - 2)
Let d(u) be the third derivative of -u**5/12 + 815*u**4/24 - 805*u**3/3 - 3550*u**2. Factor d(p).
-5*(p - 161)*(p - 2)
Let d(x) be the third derivative of 2*x**7/105 + 323*x**6/15 + 34991*x**5/5 + 104006*x**4/3 + 207368*x**3/3 + 2622*x**2. Determine g, given that d(g) = 0.
-322, -1
Let o(y) = -3*y**4 - 11*y**3 + 58*y**2 - 88*y + 8. Let z(c) = 2*c**4 + 12*c**3 - 60*c**2 + 86*c - 6. Let q(i) = 3*o(i) + 4*z(i). Factor q(a).
-a*(a - 8)*(a - 5)*(a - 2)
Suppose 0 = 14*o - 286 - 106. Factor 5 - o*b + b**3 - 5 + 12 + 8 + 7*b**2.
(b - 2)*(b - 1)*(b + 10)
Let b(a) be the second derivative of a**5/25 - 268*a**4/15 + 706*a**3/5 - 1584*a**2/5 - 6*a - 409. Factor b(s).
4*(s - 264)*(s - 3)*(s - 1)/5
Suppose -8*n - 23 + 26 = 5*i - 100, -11 = -n. Factor 0 - 3/2*k**i - 9/2*k - 6*k**2.
-3*k*(k + 1)*(k + 3)/2
Factor 2218800/7*w + 4/7*w**3 - 318028000/7 - 5160/7*w**2.
4*(w - 430)**3/7
Let j(s) = 4*s**2 - 17*s + 100. Let f = -936 - -939. Let h = -3 + 2. Let c(m) = m**2 + m. Let k(u) = f*c(u) + h*j(u). Find v, given that k(v) = 0.
10
Factor -72*p + 39/2*p**2 - 3/2*p**3 + 54.
-3*(p - 6)**2*(p - 1)/2
Determine j, given that 99*j + 124*j**2 + 228*j**3 - 210*j**3 - 36*j**4 + 3*j**5 + 32*j**2 = 0.
-1, 0, 3, 11
Let m(k) be the third derivative of -k**6/660 - 47*k**5/330 - 104*k**4/33 + 3380*k**3/33 - 94*k**2 + 2. Factor m(b).
-2*(b - 5)*(b + 26)**2/11
Let r be (-20 + 6)*(-12)/(-432)*-15. Let u(y) be the second derivative of -2*y - r*y**3 - 15/2*y**2 + 0 - 1/4*y**5 - 25/12*y**4. Suppose u(b) = 0. What is b?
-3, -1
Let i be (-57)/(-209)*(6 - (-6 + 1)). Factor 8/15*d**i + 8/15*d + 0 - 34/15*d**2.
2*d*(d - 4)*(4*d - 1)/15
Suppose 617*m = -9*m - 181*m. Solve 18/11*c + m - 6/11*c**3 + 12/11*c**2 = 0.
-1, 0, 3
Let f(d) be the third derivative of -2*d**7/105 + 7*d**6/30 + 86*d**5/5 + 246*d**4 + 1584*d**3 - 2*d**2 + 1639*d. Factor f(h).
-4*(h - 22)*(h + 3)*(h + 6)**2
Let f(o) be the third derivative of -1/2*o**4 + 3/5*o**5 + 0*o**3 + 0 - 2*o - 1/8*o**6 - 6*o**2. Factor f(v).
-3*v*(v - 2)*(5*v - 2)
Let j(d) = -2*d**2 - 12*d + 67. Let f be j(-16). Let t = 1013/4 + f. Suppose t*u**4 + 1/4*u - 1/4*u**3 - 3/4*u**2 + 1/2 = 0. Calculate u.
-1, 1, 2
Let j(g) = 22*g**4 + 439*g**3 + 1985*g**2 + 2033*g - 17. Let t(p) = -8*p**4 - 146*p**3 - 662*p**2 - 678*p + 6. Let a(k) = 6*j(k) + 17*t(k). Factor a(y).
-4*y*(y - 42)*(y + 2)**2
Suppose 0 = -4*l - 173 + 185. Let i be 3/99*(11 - 5). Find z, given that 0*z**l + 0 - 4/11*z - 6/11*z**2 + i*z**4 = 0.
-1, 0, 2
Let s(d) = -47 + 41*d - 152 + 471 - 105. Let g be s(-4). Factor 2/11*j**g + 6/11 - 6/11*j**2 - 2/11*j.
2*(j - 3)*(j - 1)*(j + 1)/11
Let n(r) be the third derivative of r**7/2520 - r**6/360 - r**5/90 + r**4/6 - 71*r**3/6 + 2*r**2 - 21. Let o(p) be the first derivative of n(p). Factor o(q).
(q - 3)*(q - 2)*(q + 2)/3
Let s(p) = -14*p**3 + 406*p**2 - 20418*p - 88194. Let i(m) = -12*m**3 + 407*m**2 - 20410*m - 88195. Let d(h) = -6*i(h) + 5*s(h). Factor d(k).
2*(k - 105)**2*(k + 4)
Let h = -11596 + 46385/4. Let c(f) be the third derivative of -7/20*f**5 - 14*f**2 + 0 + 0*f**3 + 0*f - h*f**4. Solve c(m) = 0.
-2/7, 0
Let 21/4*p**4 - 1403/2*p**3 + 400*p + 1717/4*p**2 - 133 = 0. What is p?
-2/3, 2/7, 1, 133
Let l(n) be the second derivative of 0*n**2 + 20 - 1/80*n**5 - 1/24*n**3 + 1/24*n**4 + 3*n. Let l(s) = 0. What is s?
0, 1
Let x = -332 - -337. Let a be x*1/(-35) + 3. Find o such that a*o + 0 + 2/7*o**2 = 0.
-10, 0
Let p(f) be the third derivative of -f**8/56 + 8*f**7/105 + 7*f**6/3 - 16*f**5/5 - 4081*f**2. Let p(i) = 0. What is i?
-6, 0, 2/3, 8
Solve 3/2*j**2 - 318*j - 639/2 = 0 for j.
-1, 213
Let x(p) be the first derivative of 2/21*p**3 + 4*p - 70 + 9/7*p**2. Let x(u) = 0. What is u?
-7, -2
Let k(w) be the third derivative of -127*w**7/14 + 1141*w**6/24 - 379*w**5/4 + 625*w**4/8 + 5*w**3/3 + 353*w**2. Solve k(q) = 0 for q.
-2/381, 1
Let h = -59/23 + 1685/621. Let i(f) be the first derivative of h*f**3 - 2/45*f**5 - 4/3*f**2 + 3 + 16/9*f + 1/6*f**4. Suppose i(z) = 0. What is z?
-2, 1, 2
Determine h so that 608 - 269*h - 245*h + 682*h + 4*h**2 = 0.
-38, -4
Let b(m) = -4*m**3 + m - 2. Let u(q) = 30*q**3 + 29*q**2 - 120*q + 65. Let a(g) = 40*b(g) + 5*u(g). Factor a(j).
-5*(j - 7)**2*(2*j - 1)
Let a = -122893 + 122896. Determine x so that 82/3*x**2 - 1681/3*x + 0 - 1/3*x**a = 0.
0, 41
Suppose 3/8*h**4 + 2775/8*h**3 + 214137/2*h**2 + 11063514*h + 10956792 = 0. Calculate h.
-308, -1
Let m(d) be the second derivative of 7*d**5/4 + 1795*d**4/4 + 68915*d**3/2 - 29645*d**2/2 + 2588*d. Factor m(f).
5*(f + 77)**2*(7*f - 1)
Let g(z) be the third derivative of -217*z**2 + 2*z**3 + 0 + 0*z - 1/160*z**6 - 33/32*z**4 + 9/40*z**5. Factor g(j).
-3*(j - 16)*(j - 1)**2/4
Suppose 5*h + 13*z + 4715 = 8*z, 4*z = -12. Let f be (-893)/h + (-2)/(-8). Factor -26/5*l - 8/5*l**3 + 32/5*l**2 + f.
-2*(l - 3)*(2*l - 1)**2/5
Let b(u) be the first derivative of 2/5*u**4 + 18/5*u + 52/15*u**3 - 6/25*u**5 - 36/5*u**2 + 25. Find p such that b(p) = 0.
-3, 1/3, 1, 3
Let w = 222 - 318. Let d be -2*6/2*16/w. What is q in -d - 9*q + 14*q**2 - 12*q + 8*q = 0?
-1/14, 1
Suppose -11*t = -51 + 18. Factor -k**3 + 19*k**4 + 7*k**t - 5*k**2 - 20*k**4.
-k**2*(k - 5)*(k - 1)
Suppose -68*x + 15 = -71*x. Let z(t) = -2*t + 4. Let n be z(x). Factor 2 + w**2 + 2*w**3 - 16*w - 3*w**2 + n*w.
2*(w - 1)**2*(w + 1)
Let o = -35/162 + 17315/162. Let g = -106 + o. Suppose -3/2*z**5 - 2*z**4 + 5/6*z**3 + 0 + 2*z**2 + g*z = 0. Calculate z.
-1, -2/3, 0, 1
Let h be 2220/(-3024) + (-27)/(-36). Let v(g) be the second derivative of 27*g + 3/10*g**5 + 0 + h*g**7 + 0*g**2 - 1/9*g**6 + 2/9*g**3 - 7/18*g**4. Factor v(k).
2*k*(k - 2)*(k - 1)**3/3
Let x(l) = -8*l**2 + 2*l + 16. Let k(n) be the second derivative of -2*n**2 + 152*n. Let a(y) = -4*k(y) - x(y). Factor a(i).
2*i*(4*i - 1)
Let g(b) = 1953120*b**3 + 93755*b**2 + 1490*b - 2. Let a(x) = x**3 - x**2 + 2*x + 2. Let r(i) = 5*a(i) + g(i). Factor r(z).
(125*z + 2)**3
Let b(t) be the first derivative of -t**4/22 - 496*t**3/33 - 1463*t**2 - 15972*t + 2967. Factor b(s).
-2*(s + 6)*(s + 121)**2/11
Find h such that 197*h + 19*h**2 - 27 + 68*h + 8*h - 49*h**2 = 0.
1/10, 9
Let j = -24000239/1386 - -155765/9. Let a = -123/14 - j. Factor a - 2/11*x + 2/11*x**3 - 2/11*x**2.
2*(x - 1)**2*(x + 1)/11
Let g(j) be the first derivative of -j**9/4032 + j**8/2240 + j**7/1120 - j**6/480 + 3*j**3 - 67. Let w(b) be the third derivative of g(b). Factor w(q).
-3*q**2*(q - 1)**2*(q + 1)/4
Let q(u) be the first derivative of u**4/20 + u**3/5 - 9*u**2/2 + 61*u + 68. Let v(r) be the first derivative of q(r). Factor v(z).
3*(z - 3)*(z + 5)/5
Let 13518*r - 2280*r + 1933*r**2 - 10524387 + 1933*r**2 + 1938*r**2 - 5807*r**2 = 0. What is r?
1873
What is n in -4 - 625/2*n**2 + 875/2*n**3 + 65*n = 0?
4/35, 1/5, 2/5
Let f(k) be the third derivative of -k**5/30 + 19*k**4/3 - 73*k**3 - k**2 + 12*k - 1. Factor f(b).
-2*(b - 73)*(b - 3)
Factor -441*k - 4*k**2 + 151*k - 13*k + 1232 - 305*k.
-4*(k - 2)*(k + 154)
Let x(c) be the third derivative of 5/12*c**3 + 3*c**2 + 3/160*c**5 - 1/960*c**6 + 0 - 1/8*c**4 - 45*c. Factor x(y).
-(y - 5)*(y - 2)**2/8
Factor -372/7*t + 48 - 18/7*t**3 - 186/7*t**2.
-6*(t + 4)*(t + 7)*(3*t - 2)/7
Factor -2/5*z**2 - 92/5*z - 1058/5.
-2*(z + 23)**2/5
Let q be 6/8 - (68/(-8) - 328/(-41)). Factor 1/4*n**4 - 1/4*n**2 - 5/4*n + q*n**3 + 0.
n*(n - 1)*(n + 1)*(n + 5)/4
Let w = 604348/5 + -120869. Factor 0 + 0*k**2 + 6/5*k**4 - 3/5*k**3 + 0*k - w*k**5.
-3*k**3*(k - 1)**2/5
Find a, given that -5829/4*a**2 + 277/4*a**3 - 2025 + 8460*a - a**4 = 0.
1/4, 9, 30
Factor 16/3 + 2/9*u**2 - 50/9*u.
2*(u - 24)*(u - 1)