52488/7 + 4/7*z**3 = 0. What is z?
-81, -2
Factor -1966*c**4 - 407*c + 871*c**2 - 56*c**2 + 3 - 3 - 409*c**3 + 1967*c**4.
c*(c - 407)*(c - 1)**2
Suppose 214 = 3*j - 0*h + 5*h, -2*j + h + 160 = 0. Let n be ((-48)/(-9))/(13/j). Solve -78*w**2 - 38*w**3 + n - 50*w**3 + 78*w**3 - 144*w = 0.
-4, 1/5
Let q be 16/48 + 7/(-3) + 8. Let l(a) be the third derivative of 0*a + 0 - 13*a**2 + 1/224*a**8 + 0*a**4 + 0*a**3 + 1/80*a**q + 0*a**5 + 1/70*a**7. Factor l(y).
3*y**3*(y + 1)**2/2
Let c be 3221/4815 + 44/(-110). Let u = -5/107 + c. Factor 4/9 - 2/9*h**2 + u*h.
-2*(h - 2)*(h + 1)/9
Let d(w) be the third derivative of -2*w**7/945 + w**6/20 + 11*w**5/30 - w**2 - 396. Suppose d(n) = 0. Calculate n.
-3, 0, 33/2
Factor -47*g**3 - 5*g**4 - 1350*g**2 - 93*g**3 + 359703 - 4860*g - 363348.
-5*(g + 1)*(g + 9)**3
Let b(p) be the first derivative of -10*p + 14 + 19/24*p**4 - p**2 - 7/40*p**5 - 2/3*p**3. Let i(x) be the first derivative of b(x). What is m in i(m) = 0?
-2/7, 1, 2
Factor 3508/3*y**3 - 1/3*y**4 - 1538258*y**2 - 591559418641/3 + 2698104532/3*y.
-(y - 877)**4/3
Factor 52*n**3 + 320*n**2 - 9488*n + 8138*n + 1000 + 5*n**5 - 3*n**5 - 20*n**4 - 4*n**4.
2*(n - 5)**3*(n - 1)*(n + 4)
Let l(w) be the second derivative of -w**5/15 - 46*w**4/9 + 98*w**3/9 + 188*w**2/3 - 6277*w. Factor l(y).
-4*(y - 2)*(y + 1)*(y + 47)/3
Let r(n) be the first derivative of 65 + 0*n - 1/3*n**6 - 2/5*n**5 + 2/3*n**3 - 2*n**2 + 3/2*n**4. Solve r(f) = 0.
-2, -1, 0, 1
Let x = -493 + 503. Suppose -7*g - 9*g = -x*g. Factor 6/13*j**4 + g - 2/13*j**5 + 0*j + 2/13*j**2 - 6/13*j**3.
-2*j**2*(j - 1)**3/13
Let i(f) = -3*f**5 + 3252*f**4 - 528127*f**3 - 4*f + 4. Let p(h) = -h**5 - h**4 + h**3 + 2*h - 2. Let o(q) = -i(q) - 2*p(q). Factor o(c).
5*c**3*(c - 325)**2
Let a(z) be the third derivative of 7/110*z**5 + 0 + 0*z + 3/22*z**4 + 2/165*z**6 + 1/1155*z**7 - 46*z**2 + 0*z**3. Factor a(b).
2*b*(b + 2)*(b + 3)**2/11
Let m = 62694 - 313466/5. Factor 0*d - 4/5*d**2 + m.
-4*(d - 1)*(d + 1)/5
Let n(l) be the second derivative of 69/5*l**3 - 118/15*l**4 - 38/5*l**2 + 4/75*l**6 + 0 + 63/50*l**5 + 156*l. Determine g, given that n(g) = 0.
-19, 1/4, 1, 2
Let c(z) be the third derivative of z**5/330 - 73*z**4/22 - 439*z**3/33 - 4*z**2 + 800. Let c(b) = 0. Calculate b.
-1, 439
Let v(p) be the first derivative of -p**4/3 + 160*p**3/9 - 1024*p**2/3 + 8192*p/3 - 1819. Find c, given that v(c) = 0.
8, 16
Let z = 3369/58 - 16497/290. Determine v so that -1/5*v**4 + v**2 + z*v + 0 - 2/5*v**3 = 0.
-3, -1, 0, 2
Let l be -2*((-8)/(-10) + (-16436)/(-280)). Let a be ((-34)/l*-8)/(1*-2). Let -a*m**4 + 8/7*m**2 - 4/7*m**3 + 4/7*m**5 + 0 + 0*m = 0. What is m?
-1, 0, 1, 2
Let g = 94 - 90. Suppose -b + 7 = g. Factor b*m - 17*m**2 + 4*m**2 + 10*m**2.
-3*m*(m - 1)
Let d = -47248/21 - -2250. Let v(b) be the first derivative of -3/7*b**2 + 27/14*b**4 - 18/35*b**5 + d*b**3 + 0*b - 13. What is p in v(p) = 0?
-1/3, 0, 1/3, 3
Let u(m) be the third derivative of 0*m - 42*m**2 + 0 + 0*m**3 - 1/24*m**6 - 1/12*m**5 + 5/2*m**4. Factor u(a).
-5*a*(a - 3)*(a + 4)
Let g be 4*-4 - 11926/(-712). Let y(r) be the first derivative of -g*r**2 + 0*r - 5/16*r**4 + 23 + 17/12*r**3. Factor y(x).
-x*(x - 3)*(5*x - 2)/4
Let i be 30/20*(6 - (-106)/(-18)). Let v(q) be the second derivative of 0*q**3 - 19*q + 0 + q**2 - i*q**4. Factor v(g).
-2*(g - 1)*(g + 1)
Suppose 10 - 161 = -107*l + 170. Let t(o) be the third derivative of 0 - 12*o**2 + 3/2*o**l + 0*o + 1/4*o**5 + 7/8*o**4 + 1/40*o**6. Factor t(g).
3*(g + 1)**2*(g + 3)
Let z = -631273/11 - -57315. Let w = z - -74. Find n such that 0 + 2/11*n**2 - w*n = 0.
0, 3
Let r(l) be the first derivative of -l**5/120 - l**4/24 + l**3/9 + l**2 + 83*l - 39. Let v(j) be the first derivative of r(j). Factor v(i).
-(i - 2)*(i + 2)*(i + 3)/6
Let b(s) = s**3 + 18*s**2 + 15*s - 66. Let h be b(-17). Let g be 5*7/(-315)*h. Determine r, given that -4/9*r**2 - g*r - 64/9 = 0.
-4
Factor -225616/9*w**2 - 4 + 114242/9*w**3 - 1906/3*w.
2*(w - 2)*(239*w + 3)**2/9
Let b(i) be the second derivative of 3*i**5/5 + 44*i**4/3 - 262*i**3 + 252*i**2 - i + 15. Factor b(s).
4*(s - 6)*(s + 21)*(3*s - 1)
Let r(f) be the first derivative of 30*f - 14 - 1/10*f**4 - 11*f**2 + 26/15*f**3. Factor r(j).
-2*(j - 5)**2*(j - 3)/5
Let d(b) be the third derivative of 0 + 0*b + 7/360*b**6 + 0*b**3 + 0*b**4 + 1/60*b**5 - 35*b**2. Factor d(f).
f**2*(7*f + 3)/3
Let l(k) = k**2 + 1. Let w(f) = 8*f**2 - 66*f + 65. Let n(x) = -13*x**2 + 100*x - 97. Let v(u) = -5*n(u) - 8*w(u). Let m(t) = -3*l(t) - v(t). Factor m(i).
-4*(i - 1)*(i + 8)
Let b be (264/220)/(7 - 4 - (-16)/(-6)). Determine y so that -7/5*y**2 - b*y - 8/5 = 0.
-2, -4/7
Let c be 516/270*20 - (199 + -161). Let a(j) = -j - 4. Let g be a(-6). Factor c*t**g + 0*t - 8/9.
2*(t - 2)*(t + 2)/9
Find b such that 11/2*b**4 + 73/3*b**2 - 233/6*b**3 + 194/3*b - 4 = 0.
-1, 2/33, 2, 6
Suppose -17*z - 10022 - 2881 = 0. Let n = 762 + z. Suppose s**n - 2/3*s + 0 + 5/3*s**2 = 0. What is s?
-2, 0, 1/3
Let y(g) be the first derivative of -7*g**5/4 + 25*g**4/12 + 110*g**3/3 + 30*g**2 - 121*g - 87. Let u(z) be the first derivative of y(z). Factor u(p).
-5*(p - 3)*(p + 2)*(7*p + 2)
Let r(h) be the third derivative of 1/36*h**4 + 5/288*h**8 + 1/90*h**5 + 3*h**2 - 2 - 13/240*h**6 + 0*h + 0*h**3 - 1/315*h**7. Suppose r(x) = 0. Calculate x.
-1, -2/7, 0, 2/5, 1
Let j(l) = -l**5 + l**4 + l**2 - l. Let v(u) = -4*u + 0*u**5 - 2*u**5 + 14*u**4 - 8*u**4 + 6*u**4 + 10*u**3 + 8*u**2. Let c(s) = 4*j(s) - v(s). Factor c(m).
-2*m**2*(m + 1)**2*(m + 2)
Let x(l) = -17*l**2 - 42*l + 27. Let z(d) = 69*d**2 + 171*d - 108. Suppose 0 = 2*f - w + 4 + 19, -2*w = -3*f - 37. Let y(v) = f*x(v) - 2*z(v). Factor y(n).
3*(n + 3)*(5*n - 3)
Let z(n) = 15*n**4 - 33*n**3 - 156*n**2 + 441*n + 9. Let l(i) = -7*i**4 + 17*i**3 + 78*i**2 - 220*i - 4. Let p(h) = -9*l(h) - 4*z(h). Factor p(b).
3*b*(b - 9)*(b - 2)*(b + 4)
Let w(p) = -p**3 - 73*p**2 + 138*p + 26. Let g be w(2). Factor 7/4*t**3 + 3*t**g + 0 - t.
t*(t + 2)*(7*t - 2)/4
Let u be 672/756 + 80/72. Determine q, given that 0 + 2/3*q**3 - 1/9*q**4 - q**u + 4/9*q = 0.
0, 1, 4
Suppose -25*n + 20*n = -20. Factor -19*p**2 - 23*p**2 + 24*p**2 + 9*p**n - 21*p**3.
3*p**2*(p - 3)*(3*p + 2)
Let j(l) be the first derivative of 1/15*l**3 - 1/45*l**6 + 2*l + 1/18*l**4 + 7 - 1/50*l**5 + 0*l**2. Let u(a) be the first derivative of j(a). Solve u(p) = 0.
-1, -3/5, 0, 1
Let u = -549 - -557. Factor -13*s - 91*s**2 + 47*s**2 + 18 + 47*s**2 - u*s.
3*(s - 6)*(s - 1)
Let l be -36*(-2)/8*2. Suppose -4*n - 6 = -l. Let 7*h**3 - 6*h**3 + 0*h**n = 0. What is h?
0
Let y be 1/((-6)/36*-3). Factor 100*j**3 + 112 + 65*j + 780*j**2 + 501*j - y*j + 12*j.
4*(j + 7)*(5*j + 2)**2
Let v(k) be the first derivative of k**4/4 + 19*k**3/3 + 19*k**2/2 + 22*k - 11. Let i be v(-18). What is d in d + 3*d**2 + i*d + 10*d = 0?
-5, 0
Let r be 30/27*(-12636)/(-5265). Determine i, given that -1/3*i**2 + 2*i - r = 0.
2, 4
Find q such that -3*q**3 + 4*q - q**5 - 17/4*q**4 + 7/2*q**2 + 3/4 = 0.
-3, -1, -1/4, 1
Let n(f) be the third derivative of 1/600*f**5 + 1/3600*f**6 + 0 + 1/240*f**4 + 11*f**2 + f**3 + 0*f. Let c(l) be the first derivative of n(l). Factor c(g).
(g + 1)**2/10
Let d(q) = -29*q**2 + 575*q + 544. Let s(k) = -8*k**2 + 144*k + 136. Let i(x) = 4*d(x) - 15*s(x). Suppose i(f) = 0. Calculate f.
-34, -1
Let c(m) be the second derivative of -5*m**4/12 + 205*m**3/6 - 285*m**2 - m - 650. Factor c(w).
-5*(w - 38)*(w - 3)
Let p = 10332 - 10332. Let z(h) be the second derivative of 0*h**2 - 1/25*h**6 + p*h**3 - 1/5*h**4 + 0 - 15*h - 1/70*h**7 + 21/100*h**5. Factor z(m).
-3*m**2*(m - 1)**2*(m + 4)/5
Let j(b) = -3*b**2 - 21*b - 34. Let o be j(-4). Factor 2*z**2 + 3*z**2 - 1143 - z**o + 3321 + 312*z + 3906.
4*(z + 39)**2
Let f = 1/33511 - -33509/67022. Factor f*z**4 + 0*z - 3/4*z**3 + 0 - 5/4*z**2.
z**2*(z + 1)*(2*z - 5)/4
Suppose -49*y - 12 = -47*y. Let d be (-115)/7 - 20/35. Let v(q) = -3*q**2 + 6. Let f(z) = 8*z**2 - 17. Let r(u) = d*v(u) + y*f(u). Factor r(w).
3*w**2
Solve -52*i**3 + 685 - 8*i**4 - 192*i**2 - 40*i**3 - 132*i - 711 + 2*i**4 = 0 for i.
-13, -1, -1/3
Let z(c) be the first derivative of -c**7/315 - c**6/45 - c**5/18 - c**4/18 - 3*c**2/2 + 10*c + 42. Let w(a) be the second derivative of z(a). Factor w(x).
-2*x*(x + 1)**2*(x + 2)/3
Let 1/2