Factor s*n + 2/7*n**4 - 8/7 + 2/7*n**5 - 10/7*n**3 - 2/7*n**2.
2*(n - 1)**3*(n + 2)**2/7
Suppose 4*r + 129*g - 134*g + 10 = 0, 0 = -2*g + 12. Find f, given that -1/2 + f**2 + 1/2*f - f**3 + 1/2*f**r - 1/2*f**4 = 0.
-1, 1
Let t(u) be the second derivative of -15/8*u**4 + 1/2*u**5 + 13*u + 10/3*u**3 - 1 - 25/8*u**2 - 1/24*u**6. Factor t(a).
-5*(a - 5)*(a - 1)**3/4
Let q(z) be the second derivative of z**6/30 + 13*z**5/20 + z**4 - 3345*z. Determine k, given that q(k) = 0.
-12, -1, 0
Let r(u) = 5*u**2 - 46*u + 12. Let m be r(9). Let j(y) be the first derivative of -20 - 2/9*y**m - 2*y**2 - 6*y. Factor j(i).
-2*(i + 3)**2/3
Let t(l) be the third derivative of -l**7/1785 - 7*l**6/30 - 5027*l**5/170 - 1610*l**4/3 - 211600*l**3/51 - 4*l**2 - 24. Suppose t(y) = 0. Calculate y.
-115, -4
Suppose 13 = 2*x + 1. Determine y, given that 2*y**5 - x*y**4 - 8*y**5 - 54*y**2 + 12*y**4 - 3*y**5 + 81*y**3 = 0.
-3, 0, 2/3, 3
Suppose -84*q = -156*q. Factor q - 1/4*w**3 + 3/4*w - 1/2*w**2.
-w*(w - 1)*(w + 3)/4
What is s in 0*s**3 + 3*s**3 + 319297*s**2 - 21624*s - 5*s**3 - 44944 - 318877*s**2 = 0?
-2, 106
Let r = 115080 + -115078. Factor -4/3*s**r + 8/3 - 4/3*s.
-4*(s - 1)*(s + 2)/3
Let s be (-18)/(-21)*(-2912)/(-832). Factor 0 + 3/8*t - 7/8*t**2 + 1/4*t**s.
t*(t - 3)*(2*t - 1)/8
Suppose -129*d + 183/5*d**2 - 12/5*d**3 + 30 = 0. Calculate d.
1/4, 5, 10
Factor 51/4*n**2 - 13/8*n**3 - 55/2*n - 1/8*n**4 + 19.
-(n - 2)**3*(n + 19)/8
Factor -3/5*h**2 + 324/5 - 69/5*h.
-3*(h - 4)*(h + 27)/5
Let b be 30/120 - (-82)/56. Determine w, given that 15/7*w**2 - b - 3/7*w**4 + 9/7*w**3 - 9/7*w = 0.
-1, 1, 4
Let y = -16403 - -16432. Let c(n) be the first derivative of 3*n - 1/6*n**3 + y - 1/4*n**2. Determine q so that c(q) = 0.
-3, 2
Let i(j) = j + 7. Let g be i(-5). Suppose g*x + z - 1 = 0, -x + 3*z + 11 = 14. Let -2/9*n**3 + 0 + 2/9*n**5 - 2/9*n**2 + x*n + 2/9*n**4 = 0. What is n?
-1, 0, 1
Factor 1536/5 + 8*z**2 + 448/5*z + 1/5*z**3.
(z + 8)**2*(z + 24)/5
Determine r, given that 189/2*r**3 + 0 - 1/2*r**4 + 0*r - 187*r**2 = 0.
0, 2, 187
Factor -5/3*f**2 + 695/3*f - 3350/3.
-5*(f - 134)*(f - 5)/3
Let t be (-16)/(-10) - 9/(-30)*2. Solve -2/5*y**2 + t + 21/5*y = 0 for y.
-1/2, 11
Let -27*i**3 + 0*i + 96*i**2 + 3/4*i**4 + 0 = 0. Calculate i.
0, 4, 32
Let q(v) be the second derivative of v**8/2240 - v**7/840 - v**6/60 + v**5/10 + 7*v**4/3 + 33*v. Let z(h) be the third derivative of q(h). Factor z(w).
3*(w - 2)*(w - 1)*(w + 2)
Let y be (18/27)/(12*9/648). Factor -2/3*r**2 + 0 + 1/3*r**3 - 8/9*r + 1/9*r**y.
r*(r - 2)*(r + 1)*(r + 4)/9
Let i(n) be the third derivative of 0 + 255*n**2 + 0*n - 1/6*n**5 - 5/3*n**3 - 25/24*n**4. Find l such that i(l) = 0.
-2, -1/2
Let j = 2830 + -2830. Let h(v) be the third derivative of 1/30*v**5 + j*v + 1/36*v**6 - 8*v**2 + 0*v**3 - 1/18*v**4 + 0. Solve h(t) = 0.
-1, 0, 2/5
Let x(k) be the second derivative of k**6/40 + 603*k**5/80 + 597*k**4/16 + 595*k**3/8 + 297*k**2/4 - 2387*k. Factor x(v).
3*(v + 1)**3*(v + 198)/4
Suppose -1 = h - 3. Let r = -1/3205 + 257/1923. Suppose r*p**3 + 0 + 4/15*p + 2/5*p**h = 0. Calculate p.
-2, -1, 0
Let c(z) = z**2 - 450*z + 50268. Let q be c(244). Suppose 7/10 - 1/10*m**q + 2/5*m**3 + 9/5*m**2 + 2*m = 0. What is m?
-1, 7
Let y(t) be the second derivative of 1 + 53/6*t**3 + 2809/4*t**2 + 1/24*t**4 + 22*t. Factor y(k).
(k + 53)**2/2
Let y = -3571/18 + 1790/9. Factor y*w**2 - w**3 + 1/2*w**4 + 0*w + 0.
w**2*(w - 1)**2/2
Let u = -356428 + 2495064/7. Factor -8/7*w + 0 + u*w**2.
4*w*(17*w - 2)/7
Let y = -42 - -43. Let s = -11 + y. Let u(p) = p**2 - 1. Let q(m) = 7*m**2 - 3*m - 4. Let t(x) = s*u(x) + 2*q(x). Let t(b) = 0. Calculate b.
1/2, 1
Let q(z) be the first derivative of z**3/12 + 5*z**2/8 - 21*z + 7802. Suppose q(i) = 0. What is i?
-12, 7
Let o be (-48)/408 + 132/(-34). Let j be ((-20)/(-4) + o)/((-10)/(-6)). Factor 6/5*n**3 - 3/5*n**5 - 3/5*n - 6/5*n**2 + j + 3/5*n**4.
-3*(n - 1)**3*(n + 1)**2/5
Let s(f) be the second derivative of -1/140*f**5 + 0*f**2 - 1/14*f**4 + 0 - 4*f - 5/42*f**3. Factor s(b).
-b*(b + 1)*(b + 5)/7
Factor -1254400 - 1120*k - 1/4*k**2.
-(k + 2240)**2/4
Factor 0 - 1/4*f**2 - 15*f.
-f*(f + 60)/4
Let p(d) = 2*d**2 + 80*d + 155. Let k be p(-38). Let w(r) be the second derivative of -1/3*r**2 + 0 - 1/18*r**4 - 23*r + 2/9*r**k. Factor w(u).
-2*(u - 1)**2/3
Suppose 1053 = 2316*w - 660*w - 2259. Determine p so that -20/3*p**w + 5/3*p**4 - 20*p + 5*p**3 + 0 = 0.
-3, -2, 0, 2
Let s be 0/(168/252 + 29/(-3) + 6). Let w = 1/12 - -43/60. Find i, given that -8/5*i**3 + 6/5*i**5 - 4/5*i**2 + 2/5*i + w*i**4 + s = 0.
-1, 0, 1/3, 1
Let w(v) = -9*v**5 - 7*v**4 + 49*v**2 - 34*v. Let f(g) = -4*g**5 - 4*g + 1257*g**2 + 3*g**5 - 1251*g**2 - g**4. Let b(y) = 51*f(y) - 6*w(y). Factor b(r).
3*r**2*(r - 2)**2*(r + 1)
Suppose 0 = -5*p + 4*p - 3. Let y be (1 + p + 2)/(-2). Suppose -4/9*m + y + 2/3*m**3 - 10/9*m**2 = 0. Calculate m.
-1/3, 0, 2
Let y(v) = v**2 + 72*v - 283. Let u(i) = 66*i - 282. Let w(z) = 6*u(z) - 4*y(z). What is r in w(r) = 0?
7, 20
Let g be -1*9427/202818 + 2/6. Let x = g + -1/878. Factor -4/7 + 2/7*b**2 - x*b.
2*(b - 2)*(b + 1)/7
Let j(c) = -c**3 - 11*c**2 + 4*c + 2. Let t(m) = -2*m**3 - 19*m**2 + 4*m + 3. Let w(b) = -3*j(b) + 2*t(b). Factor w(v).
-v*(v + 1)*(v + 4)
Let w(b) = 98*b**4 - 1218*b**3 + 1436*b**2 + 1121*b + 162. Let h(n) = 49*n**4 - 609*n**3 + 718*n**2 + 561*n + 82. Let t(f) = 7*h(f) - 3*w(f). Factor t(s).
(s - 11)*(s - 2)*(7*s + 2)**2
Suppose 3*y - 45 = -3*k, 4*y - 36 - 51 = 5*k. Let u = y + 38. Suppose -3*v - 60*v**2 - 2 - 3*v + u*v**2 = 0. Calculate v.
-1, -1/2
Factor -57/2*m + 3/2*m**3 - 45 + 0*m**2.
3*(m - 5)*(m + 2)*(m + 3)/2
Let d = 368/249 + -1223/996. Let q be (1/4)/(1/6). Suppose -q*f**2 - 3/4*f**5 - 11/4*f**4 + d - 7/2*f**3 + 1/4*f = 0. Calculate f.
-1, 1/3
Let r(p) be the third derivative of -p**5/6 + 165*p**4/8 - 245*p**3/6 + 5*p**2 + 169*p. Suppose r(f) = 0. Calculate f.
1/2, 49
Let k be (117/(-6))/((-57)/(-64) - 1). Let r = k + -178. Solve -r*i**2 - 18/7 + 12/7*i = 0.
3
Let n(y) be the third derivative of -y**6/360 - 8*y**5/45 + 181*y**4/72 - 74*y**3/9 - 218*y**2. Factor n(b).
-(b - 4)*(b - 1)*(b + 37)/3
Let h(j) be the third derivative of -j**7/525 - 67*j**6/150 - 4621*j**5/150 - 737*j**4/5 - 1452*j**3/5 + 3*j**2 + 544. Let h(p) = 0. Calculate p.
-66, -1
Let c(w) be the third derivative of w**6/1260 - w**5/42 + 3*w**4/28 - 13*w**3/3 - 20*w**2 - 1. Let v(x) be the first derivative of c(x). Solve v(d) = 0 for d.
1, 9
Let c(w) be the third derivative of -7*w**5/90 - 5*w**4/4 - 2*w**3 - 649*w**2. Factor c(s).
-2*(s + 6)*(7*s + 3)/3
Let q be (-9)/27*-13*3. Let t = q - -4. Factor 5*c**2 - 12*c**3 - 80*c**4 - 4*c - t*c**2 + 76*c**4.
-4*c*(c + 1)**3
Let m be (-18)/(-36)*10 - (-1 - -4). Find r, given that -3139*r**m + 2539*r**2 + 573 + 1614 - 1539*r - 2*r**3 - 46*r**3 = 0.
-27/4, 1
Let a(g) = 13*g**5 + 99*g**4 + 140*g**3 - 9*g**2 + 9*g. Let o(k) = -6*k**5 - 52*k**4 - 70*k**3 + 4*k**2 - 4*k. Let m(v) = 4*a(v) + 9*o(v). Factor m(r).
-2*r**3*(r + 1)*(r + 35)
Factor 4*h**2 + 7*h**2 - 105 - 6*h**2 + 7*h + 13*h.
5*(h - 3)*(h + 7)
Let v(y) = -105*y + 2106. Let n be v(20). Let l(g) be the first derivative of -14 - 24/25*g**5 - 1/15*g**3 + 9/20*g**4 + 0*g + 8/15*g**n + 0*g**2. Factor l(x).
x**2*(x - 1)*(4*x - 1)**2/5
Factor 2480*n - 5*n**3 - 608468*n**2 - 8272 + 608188*n**2 + 3152.
-5*(n - 4)**2*(n + 64)
Let t(z) = -z**3 - 26*z**2 + 13*z + 6. Let b(f) = -4*f**3 - 74*f**2 + 37*f + 19. Let i(l) = -4*b(l) + 11*t(l). Let i(v) = 0. Calculate v.
-2, -1, 1
Let x(f) be the second derivative of -1/270*f**6 - 19/3*f**3 + 0 + 0*f**2 - 2/9*f**4 - 2/45*f**5 + f. Let z(n) be the second derivative of x(n). Solve z(v) = 0.
-2
Suppose 24 = 16*t - 40. Let o be 0/(-4 + t - 1). Let 2*p**2 - 2*p**4 + 2/3*p**3 + o + 2/3*p - 4/3*p**5 = 0. What is p?
-1, -1/2, 0, 1
Let r = -1/15 + 2/3. Let y be (-6)/(-4)*(-812)/(-870)*(-28)/(-98). What is z in 1/5*z**2 + y + r*z = 0?
-2, -1
Let b(n) be the third derivative of 0*n**3 - 130*n**2 + 5/12*n**4 + 0*n - 1/12*n**5 + 0. Factor b(r).
-5*r*(r - 2)
Suppose -16*z + 60 + 53 = 113. Let t(o) be the first derivative of 11 + z*o + 1/5*o**2 + 2/15*o**3. Let t(y) = 0. What is y?
-1, 0
Suppose -15*w - 4*u + 197 = -6*w + 5, -u = -3. Factor 5/3*s**2 + w + 35/3*s.
5*(s + 3)*(s + 4)/3
Suppose 3*t 