-5*q + 5 = -5*k, 5*q = -5*k + 4 + 1. Suppose k = -h + 1 + 1. Determine r, given that 2*r + 4*r + 14*r**3 + 3*r**4 + 0*r - 2*r**3 + 15*r**h = 0.
-2, -1, 0
Let c = 278355/8 + -34794. Let 0 - c*u**3 + 0*u - 3/2*u**2 = 0. Calculate u.
-4, 0
Let v be (-2)/(-5) - ((-2187)/45 - 672/(-32)). Factor 0 - 374/3*p**2 - 171/2*p**4 + 183*p**3 - 9/2*p**5 + v*p.
-p*(p + 21)*(3*p - 2)**3/6
What is d in 2 + 2*d**3 + d**5 - 2 - d**3 + 229*d**4 - 227*d**4 = 0?
-1, 0
Suppose 0 = -2*w - 4*f + 2, -w - w + 3*f - 12 = 0. Let j be w - ((3 + -2)/(-1) - 5). Suppose j*x**2 + 12*x**3 + 2*x - 10*x + x**2 = 0. What is x?
-1, 0, 2/3
Let n = 319678/25 - 12787. Let c(k) be the third derivative of 0*k - 1/300*k**6 - 14*k**2 + n*k**5 + 72/5*k**3 + 0 - 9/5*k**4. What is b in c(b) = 0?
6
Determine f so that -75/2*f**4 + 0 + 240*f**3 + 5/4*f**5 + 640*f**2 + 0*f = 0.
-2, 0, 16
Let f(m) be the third derivative of m**8/20160 + m**7/1260 - 53*m**5/60 - m**3/6 - 29*m**2. Let n(y) be the third derivative of f(y). Factor n(v).
v*(v + 4)
Let p = -85097/56 + 10638/7. Factor -11/4*x - p*x**2 + 0.
-x*(x + 22)/8
Let a = -1223 - -1227. Find o, given that a*o - 1/2*o**3 - 6 + 1/2*o**2 = 0.
-3, 2
Let j(t) be the third derivative of t**8/110880 - 5*t**7/2772 + 131*t**5/60 + t**3/6 + 275*t**2. Let b(d) be the third derivative of j(d). Solve b(u) = 0 for u.
0, 50
Let i(s) be the first derivative of 29*s + 1/6*s**3 - 1/12*s**4 + s**2 - 31. Let j(u) be the first derivative of i(u). Find c, given that j(c) = 0.
-1, 2
Let b**5 - 40*b + 7*b**3 + b**5 + 48 - 44*b**2 - 4*b**4 - 23*b**5 + 35*b**3 + 19*b**5 = 0. Calculate b.
-6, -1, 1, 2
Let i(l) be the second derivative of 0*l**2 - 1/120*l**6 - 3/16*l**4 + 1/8*l**5 + 0*l**3 + 0 + 31*l. Factor i(w).
-w**2*(w - 9)*(w - 1)/4
Factor 72/7*o**2 + 2/7*o**4 + 30/7*o**3 + 0 + 0*o.
2*o**2*(o + 3)*(o + 12)/7
Determine q, given that 20/7 - 62/7*q**2 - 24/7*q**3 - 18/7*q = 0.
-2, -1, 5/12
Factor 35/4*l + 33/4*l**2 + 1/2.
(l + 1)*(33*l + 2)/4
Let k = 14373 - 14373. Let p(l) be the third derivative of 7/24*l**4 - 7/120*l**6 - 1/210*l**7 - 3*l**2 + k*l + 0 + 0*l**3 + 1/60*l**5. Factor p(a).
-a*(a - 1)*(a + 1)*(a + 7)
Let o(t) = -8*t**2 - 16*t - 121. Let k(z) = -3*z**2 - 8*z - 61. Let r(d) = 5*k(d) - 2*o(d). Let f be r(13). Factor 1/2*m**3 + 98*m + 0 + 14*m**f.
m*(m + 14)**2/2
Solve 20*y - 18*y**3 - 29*y**2 - 27*y**2 - 136*y**4 - 10*y**3 - 20*y**5 - 164*y**3 = 0.
-5, -1, 0, 1/5
Let h(f) be the third derivative of -10 + 0*f + 0*f**3 + 0*f**4 + 8/285*f**5 - 7*f**2 - 13/228*f**6 + 4/1995*f**7. Solve h(c) = 0.
0, 1/4, 16
Let y(o) be the first derivative of 0*o + 5/18*o**6 + 0*o**2 + 1000/9*o**3 - 31 + 22/3*o**5 + 175/3*o**4. Suppose y(i) = 0. Calculate i.
-10, -2, 0
Let q be 228/120*10 + -69 + 52. Factor -16/13*o + 0 - 2/13*o**q.
-2*o*(o + 8)/13
Suppose -b + 257 + 257 = 512. Determine k, given that -k**3 + 8/3 - 2/3*k**b + 4*k = 0.
-2, -2/3, 2
Let r(s) be the second derivative of -s**5/5 - 97*s**4/3 - 382*s**3/3 - 190*s**2 + 2*s - 46. Determine n so that r(n) = 0.
-95, -1
Let h(x) = x**3 + 32*x**2 - 32*x + 51. Let r be h(-33). Determine u, given that 28*u**3 + 21*u - 19*u**3 + r - 12*u**3 = 0.
-2, -1, 3
Suppose -5*d - 6 + 0 = 4*v, -3*d + 18 = -3*v. Factor -1634*c - 459 - 5*c**d - 386 + 1764*c.
-5*(c - 13)**2
Suppose -263*q = -19*q + 7*q - 753. Determine w, given that 0 + 2/9*w**5 + 0*w - 2/9*w**2 + 2/3*w**q - 2/3*w**4 = 0.
0, 1
Let q be 1 + (3 - 1 - 38/14). Let v be 224/588*5/((-30)/(-9)). What is m in -2/7 - q*m**2 - v*m = 0?
-1
Let h = -2347/84 + 592/21. Let z(w) be the third derivative of -34*w**2 + h*w**3 + 0*w + 0 + 1/40*w**5 + 5/32*w**4. Suppose z(b) = 0. Calculate b.
-2, -1/2
What is k in 666/7*k**2 + 3*k**3 - 186/7 + 459/7*k = 0?
-31, -1, 2/7
Let f be 7 + 35/200*-331. Let l = 264/5 + f. Solve 9/8*k**2 - 9/8*k**4 - 3/2*k**5 + l*k**3 + 0 - 3/8*k = 0 for k.
-1, 0, 1/4, 1
Let a be (-105)/(-60)*4/14*4. Let g(j) be the first derivative of -4/11*j**a + 0*j + 13 - 2/33*j**3. Solve g(u) = 0.
-4, 0
Let y(q) = -16*q + 114. Let h be y(9). Let n be h/34 - -1 - (-4)/(-34). Factor n + 0*a - 2/7*a**2 + 2/7*a**5 - 2/7*a**3 + 2/7*a**4.
2*a**2*(a - 1)*(a + 1)**2/7
Let v be (38/(-54)*-1)/(40/60) - 1. Let a(b) be the first derivative of 8/9*b**3 + 0*b**5 - 1/2*b**2 + 9 - 1/2*b**4 + 0*b + v*b**6. What is d in a(d) = 0?
-3, 0, 1
Let g(j) = j**2 + 115*j + 1239. Let w be g(-12). Let a(q) be the third derivative of 11*q**2 - 1/3*q**w + 1/18*q**4 + 1/90*q**5 + 0 + 0*q. Factor a(s).
2*(s - 1)*(s + 3)/3
Let v(i) be the first derivative of -25*i**6/6 - 47*i**5 + 590*i**4 - 4420*i**3/3 + 520*i**2 + 1280*i - 1989. Solve v(w) = 0.
-16, -2/5, 1, 2, 4
Let a(n) be the second derivative of 3*n**5/4 + 170*n**4/3 - 950*n**3/3 + 480*n**2 - 114*n. What is i in a(i) = 0?
-48, 2/3, 2
Let w be (2768/152 - 18)/(4/38). Find y, given that 102/5*y**w - 54/5 + 9/5*y**5 - 9*y - 48/5*y**4 + 36/5*y**3 = 0.
-1, -2/3, 1, 3
Let i be 3579/7158*21/(-2)*-2. Factor -i - 12*n - 3/2*n**2.
-3*(n + 1)*(n + 7)/2
Factor -2908*t**3 + 527072*t**2 + 2594*t**4 - 5164*t**4 + 2574*t**4 + 529984*t.
4*t*(t - 364)**2*(t + 1)
Suppose -8*s + 5 + 19 = 0. Suppose 42 = n + 38. Solve 6*p**4 - 2*p**3 + p**n + 0*p**s = 0 for p.
0, 2/7
Let t = -120 - -122. Let 2*u**t + 364 - 8*u - 715 + 359 = 0. Calculate u.
2
Let s(h) = -5*h**4 + 24*h**3 - 25*h**2 - 42*h - 6. Let i(q) = 20*q**4 - 95*q**3 + 100*q**2 + 175*q + 25. Let l(b) = 6*i(b) + 25*s(b). Factor l(v).
-5*v**2*(v - 5)*(v - 1)
Find d such that 0 + 5/2*d**5 + 283/2*d**4 + 112*d + 78*d**3 - 334*d**2 = 0.
-56, -2, 0, 2/5, 1
Let z(o) = -4*o - 7. Let f(w) = 3*w + 6. Let c(b) = 5*f(b) + 4*z(b). Let a(r) = 4*r**3 + 60*r**2 + 4*r - 8. Let l(v) = a(v) + 4*c(v). Factor l(m).
4*m**2*(m + 15)
Let i(k) be the first derivative of k**6/21 - 66*k**5/35 + 45*k**4/2 - 450*k**3/7 - 6254. Factor i(y).
2*y**2*(y - 15)**2*(y - 3)/7
Suppose 3*t + 4*c = -37 + 1043, 6*c + 1702 = 5*t. Let k = t - 336. Find f, given that 1/2*f - 5/12 - 1/12*f**k = 0.
1, 5
Let l be (-362)/4 + (-3)/6. Let q be 2/5 - l/35. Determine f so that -3*f + q*f + f - 2*f**2 + f = 0.
0, 1
Let g(q) be the first derivative of -5*q**6/6 - 2*q**5 + 35*q**4/4 - 20*q**3/3 + 4155. Suppose g(b) = 0. Calculate b.
-4, 0, 1
Let x = 237 - 257. Let u be (-5 - x/(-50)) + 9. Factor 3/5*y**2 + u*y + 0.
3*y*(y + 6)/5
Find p, given that -2*p**4 - 893*p - 718*p**3 - 357/2 - 2861/2*p**2 = 0.
-357, -1, -1/2
Let z = -166 + 168. Factor 4*j**z + 10*j**3 + 2*j**5 + 0*j**5 + 223*j**4 - 215*j**4.
2*j**2*(j + 1)**2*(j + 2)
Let w(h) be the first derivative of -2*h**3/3 + 30*h**2 - 250*h + 438. Find c such that w(c) = 0.
5, 25
Let i(j) be the second derivative of -j**6/2160 - 17*j**5/360 + 35*j**4/144 - 23*j**3 + 135*j. Let m(u) be the second derivative of i(u). Factor m(t).
-(t - 1)*(t + 35)/6
Let u(g) = 4*g**2 - 62*g - 286. Let a(t) = 17*t**2 - 248*t - 1147. Let j(s) = -2*a(s) + 9*u(s). Factor j(q).
2*(q - 35)*(q + 4)
Let q = -65473/248 + 264. Let t = 491/1240 - q. Factor t*u - 2 - 2/5*u**3 + 2*u**2.
-2*(u - 5)*(u - 1)*(u + 1)/5
Suppose -3*c = 12, -w + 6*w - 3*c - 6857 = 0. Let -w*h**4 + 12*h**3 + 1366*h**4 + 3*h**5 + 27*h**2 - 39*h**3 = 0. What is h?
-3, 0, 1, 3
Suppose 7 = 4*l - 1. Let h be (-2847)/429 + (l - -5). What is y in -2/11 - h*y - 2/11*y**2 = 0?
-1
Let g = 5/24 - -1/72. Let h be 0/(0 - (-7)/7). Factor h + 2/9*d - g*d**2.
-2*d*(d - 1)/9
Let v(l) be the second derivative of -l**4/4 - 12*l**3 - 66*l**2 - 305*l + 1. What is n in v(n) = 0?
-22, -2
Suppose 5*z - 2*z = 15. Let d(u) = u**5 - u**3 - u**2 + 1. Let v(y) = -6*y**5 + 6*y**4 - 6*y**3 + 7*y**2 + 12*y - 13. Let p(f) = z*d(f) + v(f). Factor p(w).
-(w - 2)**3*(w - 1)*(w + 1)
Let o = -667 + -313. Let y be 8/6*(-20)/(o/21). Factor -2/7*b**2 - y + 6/7*b.
-2*(b - 2)*(b - 1)/7
Let h(n) be the first derivative of 135/7*n + 1/7*n**3 + 52 - 3*n**2. Factor h(a).
3*(a - 9)*(a - 5)/7
Suppose 3*c - 92 = -3*a - 101, 0 = -4*c + 3*a + 9. Let q(p) be the second derivative of c*p**2 - 27*p + 0 - 8/3*p**3 - 1/3*p**4. Factor q(s).
-4*s*(s + 4)
Factor -5/4*m**3 + 0 - 3/4*m**2 + 3/4*m**4 + m + 1/4*m**5.
m*(m - 1)**2*(m + 1)*(m + 4)/4
Factor -33*k**3 - 12725 - 55*k**3 - 1890*k + 12561 - 1768*k**2 + 56*k**3 - 10*k**3.
-2*(k + 1)*(k + 41)*(21*k + 2)
Let s be (-5)/(-7) + -1 - 5658/(-2898). Factor -1 - s*p**2 - 7/3*p - 1/3*p**3.
-(p + 1)**2*(p 