 0 - 6/11*n**3 + 0*n - a*n**5 - 6/11*n**4 = 0?
-1, 0
Let q(v) be the third derivative of v**7/504 + 7*v**6/720 + v**5/60 - v**4/3 - 28*v**2. Let n(o) be the second derivative of q(o). Factor n(f).
(f + 1)*(5*f + 2)
Let t(r) = -5*r**2 + 145*r + 5482. Let n(b) = -2*b**2 - b + 2. Let d(a) = 3*n(a) - t(a). Factor d(m).
-(m + 74)**2
Let t be 7518/(-30) + (-4)/10. Let a = t + 253. Find d such that -3/5*d**a + 0*d + 4/5 - 1/5*d**3 = 0.
-2, 1
Let u be ((-30)/50)/((-490)/200 + 2). Suppose -1/3*l**2 + u + 0*l = 0. What is l?
-2, 2
Let l(s) be the third derivative of s**6/40 + 2*s**5/15 - 5*s**4/8 + 2*s**3/3 - 7*s**2. Factor l(g).
(g - 1)*(g + 4)*(3*g - 1)
Let m(c) be the first derivative of -6 + 0*c**2 + 3/5*c**5 + 0*c + 0*c**4 + 0*c**3. What is r in m(r) = 0?
0
Let f be (12/20)/(2/10). Let i be (-32)/(-10) - (f - 9)/(-3). Determine t so that -i*t**2 - 6/5*t - 2/5*t**3 - 2/5 = 0.
-1
Determine q so that 3/2*q**2 - 2 + 1/2*q**4 - 2*q + 2*q**3 = 0.
-2, -1, 1
Let v be 58/(-18) + (-12)/(-54). Let n be v/2*4/(-3). Determine c, given that -c**3 + 2*c**2 - 2*c**3 + n*c**5 - 2*c**4 + 4*c - 3*c**3 = 0.
-1, 0, 1, 2
Solve 379/3*h**3 + 4/3*h**4 + 8737/3*h**2 - 3808*h + 768 = 0 for h.
-48, 1/4, 1
Let h = 50/19 + 154/57. Let c(l) be the first derivative of -6*l**2 - h*l**3 - l**4 - 5 + 0*l. Determine z so that c(z) = 0.
-3, -1, 0
Let y(n) be the second derivative of -5/2*n**2 - 3*n + 0 + 5/3*n**3 - 5/12*n**4. Find i, given that y(i) = 0.
1
Factor -959830*r**2 - 84*r + 3*r**4 + 960253*r**2 - 147*r**3 - 480*r + 147*r + 138.
3*(r - 46)*(r - 1)**3
Let w = 1 + 2. Let v be (-61)/(-5) - w/15. Factor -v*b**5 - 18*b**3 + 32*b**4 - 3*b**3 + 8*b**3 + 4*b - 11*b**3.
-4*b*(b - 1)**3*(3*b + 1)
Let z = -177/164 - -259/164. What is y in 7/2*y**2 - y**3 - 2*y - z*y**4 + 0 = 0?
-4, 0, 1
Let m(n) = n**2 + 1. Let j(i) = 2*i**3 + 8*i**2 + 4*i + 2. Let g(q) = j(q) - 2*m(q). Factor g(d).
2*d*(d + 1)*(d + 2)
Let a(n) be the third derivative of n**5/80 + n**4/16 - n**3 - 43*n**2. Solve a(v) = 0 for v.
-4, 2
Solve -21*o**5 + 3*o**3 + 13*o**5 + 2*o**2 + 7*o**5 - 4*o**2 = 0 for o.
-2, 0, 1
Let z(s) be the third derivative of -s**8/1344 - s**7/140 - 3*s**6/160 - 8*s**2 - 4*s. Factor z(o).
-o**3*(o + 3)**2/4
Let l(y) be the third derivative of -15*y**8/112 - 8*y**7/35 + 2*y**6/5 + 9*y**5/10 - y**4/8 - y**3 + 322*y**2. Find s, given that l(s) = 0.
-1, -2/5, 1/3, 1
Suppose 3*f - 2*h - 32 = 0, 3*h - 62 = -5*f + 2*h. Suppose -3*n = -6*n - 3*s - f, 2*n - 12 = 2*s. Factor 3/2*t - n + t**2 - 3/2*t**3.
-(t - 1)*(t + 1)*(3*t - 2)/2
Let 5089 - 56*z + 2*z**3 + 3*z**2 - 5153 - 11*z**2 = 0. What is z?
-2, 8
Let q(v) be the third derivative of 0*v**4 - 1/360*v**5 - 1/6*v**3 - 7*v**2 + 0 + 0*v + 1/1080*v**6. Let g(y) be the first derivative of q(y). Factor g(l).
l*(l - 1)/3
Let i(r) be the third derivative of -r**5/150 + 19*r**4/60 - 6*r**3/5 - 4*r**2 - 12*r. What is a in i(a) = 0?
1, 18
Let l(v) be the third derivative of -v**7/1890 + 2*v**5/135 + 3*v**3/2 - 9*v**2. Let k(n) be the first derivative of l(n). Let k(m) = 0. What is m?
-2, 0, 2
Let g(s) be the first derivative of -2/5*s**5 + 1/2*s**3 + 4*s**2 - 2*s - 11/8*s**4 - 15. Determine l, given that g(l) = 0.
-2, 1/4, 1
Suppose -14 = -4*y + 10. Find q such that 8*q**2 + 0 - y*q**2 + 6*q + 0*q**2 - 8 = 0.
-4, 1
Let u(n) be the first derivative of 4*n**6/15 + 38*n**5/25 + 23*n**4/10 + 2*n**3/3 - 3*n**2/5 + 131. Solve u(h) = 0.
-3, -1, 0, 1/4
Factor 3/5*h**3 - 96/5*h**2 + 1734/5 + 663/5*h.
3*(h - 17)**2*(h + 2)/5
Let m = -5112/5 - -1023. Let p(l) be the first derivative of 1/15*l**3 - m*l - 1/5*l**2 + 5. Solve p(g) = 0 for g.
-1, 3
Factor -35*r + 30*r - 60*r**2 - 89*r**3 + 42*r + 63 + 29*r - 3*r**4 + 23*r**3.
-3*(r - 1)*(r + 1)**2*(r + 21)
Suppose -11*z = -158 - 194. Solve u**4 + 4 + z*u + 3*u**4 + 3*u**2 - 27*u**2 - 16 = 0 for u.
-3, 1
Let 72/25 + 8/25*b**2 + 0*b**4 + 114/25*b + 2/25*b**5 - 36/25*b**3 = 0. What is b?
-4, -1, 3
Determine s, given that -2/13*s**5 - 2/13*s + 4/13*s**3 - 32/13*s**2 + 16/13*s**4 + 16/13 = 0.
-1, 1, 8
Let n be (-354)/294*-7 + (-20 - -13). Find j, given that -2/3*j**4 + n*j**3 + 2/21*j**5 + 0*j + 0 - 6/7*j**2 = 0.
0, 1, 3
Let m(x) be the second derivative of -x**5/5 + 3*x**4 - 16*x**3/3 - 78*x - 2. Factor m(y).
-4*y*(y - 8)*(y - 1)
Let i be (-28)/21*(-40)/128. Let s(r) be the second derivative of 1/2*r**5 + 0*r**2 + 1/6*r**6 + 9*r + i*r**4 + 0*r**3 + 0. Factor s(n).
5*n**2*(n + 1)**2
Factor 4*z**2 + 84*z + 0*z**3 - z**3 - 20*z**2 - 3*z**3 - 100*z.
-4*z*(z + 2)**2
Let m(i) be the first derivative of -3*i**6/2 - 21*i**5/5 + 18*i**4 + 12*i**3 - 24*i**2 - 353. Solve m(f) = 0 for f.
-4, -1, 0, 2/3, 2
Let c(k) = -k**2 + 4*k - 1. Suppose -1 = -5*x + 14. Let v be c(x). Factor 1/2 - 1/4*f - 1/4*f**v.
-(f - 1)*(f + 2)/4
Suppose 3*w = 12, -f = -2*f - 4*w + 41. Let t be 10/f*(0 + -2)*-5. Suppose 9*m**3 + 9/2*m**t + 1/6 + 5/3*m + 6*m**2 = 0. What is m?
-1, -1/3
Let f(w) be the second derivative of -23/84*w**4 - 2/7*w**2 - 10/21*w**3 + 0 - 1/20*w**5 + 26*w. Factor f(p).
-(p + 1)*(p + 2)*(7*p + 2)/7
Let v(k) = -127*k + 5 + 12*k**2 - 2*k**3 + 7 + 149*k. Let q(w) = 3*w**3 - 24*w**2 - 43*w - 23. Let n(h) = 4*q(h) + 7*v(h). Factor n(f).
-2*(f + 1)**2*(f + 4)
Let f(h) = -4*h**2 - 4*h. Let d = 4 - 0. Let i(l) be the first derivative of -4*l**3/3 - 3*l**2/2 + l + 59. Let g(u) = d*i(u) - 3*f(u). What is j in g(j) = 0?
-1, 1
Factor 3*i**4 + 35*i - 13*i - 16*i + i**2 + 0*i**4 - 4*i**2 - 6*i**3.
3*i*(i - 2)*(i - 1)*(i + 1)
Let h(x) = 3*x**2 - 64*x + 1022. Let k(b) = -4*b**2 + 64*b - 1021. Let w(t) = 3*h(t) + 2*k(t). Factor w(q).
(q - 32)**2
Let d = -35 + 29. Let p(o) = -4*o - 20. Let j be p(d). Suppose 0*c**2 + 0 - 2/5*c**3 + 2/5*c**5 + 0*c**j + 0*c = 0. What is c?
-1, 0, 1
Let z(i) be the third derivative of 1/14*i**7 + 2*i**2 - 11/20*i**6 + 0*i**3 - 3/4*i**4 + 0*i + 23/20*i**5 + 0. Suppose z(v) = 0. What is v?
0, 2/5, 1, 3
Let b(a) = 8*a - 33. Let z be b(-4). Let o be z/(-100) + (2 + -6)/16. Find s such that 4/5 + 6/5*s**3 - o*s**4 - 6/5*s - 2/5*s**2 = 0.
-1, 1, 2
Let p(w) be the third derivative of -w**6/24 - 17*w**5/3 - 5425*w**4/24 + 6125*w**3/3 + 10*w**2 - 7*w. Find o, given that p(o) = 0.
-35, 2
Let q(r) be the second derivative of 11*r**6/60 + r**5/20 - 11*r**4/24 - r**3/6 - 151*r. Determine d, given that q(d) = 0.
-1, -2/11, 0, 1
Factor 2/5*a**2 + 8/5 + 2*a.
2*(a + 1)*(a + 4)/5
Suppose -44 = -23*u + 2. Let x(i) be the second derivative of 1/33*i**3 + 0 + 0*i**2 - 1/110*i**5 - 1/66*i**4 + u*i + 1/165*i**6. Let x(n) = 0. Calculate n.
-1, 0, 1
Let i(n) be the third derivative of -21*n**2 - 4/3*n**5 + 25/6*n**4 + 0*n + 0 + 8/45*n**6 - 125/18*n**3. Suppose i(c) = 0. Calculate c.
5/4
Suppose -50*u - 7 = -51*u. Factor u*q - q + 5*q**2 + 9*q + 10.
5*(q + 1)*(q + 2)
Let f(r) be the second derivative of 0*r**3 + 1/16*r**4 + 1/80*r**5 - 2 - 10*r + 0*r**2. Factor f(z).
z**2*(z + 3)/4
Let o = -6394 - -6396. Factor 0*k - k**4 + 0 + 1/2*k**o + 7/4*k**3.
-k**2*(k - 2)*(4*k + 1)/4
Let w(x) be the third derivative of x**5/240 - 7*x**4/24 + 49*x**3/6 - 22*x**2 - 1. Factor w(u).
(u - 14)**2/4
Let b(d) be the third derivative of 11*d**2 - 1/36*d**5 + 1/144*d**6 + 0*d + 0 - 5/9*d**3 - 35/144*d**4. Factor b(t).
5*(t - 4)*(t + 1)**2/6
Let h = 10 - 15. Let m(q) = q**3 + 5*q**2 + 2. Let l be m(h). Factor 3*b**2 - 9*b - l + 13 - 5.
3*(b - 2)*(b - 1)
Solve -11/8*a - 3/4 + 3/4*a**2 + 1/4*a**4 + 9/8*a**3 = 0.
-3, -2, -1/2, 1
Suppose 62*o - 65*o = -48. Let n be (1/1)/(o/3 - 5). Solve 32/11 + 16*v**2 - 192/11*v + 336/11*v**n + 98/11*v**4 = 0 for v.
-2, 2/7
Suppose i - 38 = 4*l, -4*i + 5*i = 3*l + 33. Find v, given that -48*v**4 + 40*v**2 - 22*v + 2*v - i*v**5 - 4*v + 34*v**3 = 0.
-3, -1, 0, 2/3
Let h be 36/16*(-8)/(-3). Factor -7*w**2 - h*w**2 + 10*w**2 + 6*w - 3.
-3*(w - 1)**2
Factor -56/5*r - 14/5*r**2 + 2/5*r**3 - 8.
2*(r - 10)*(r + 1)*(r + 2)/5
Let n be (-21)/(-96) + 1/4. Let p = n + 1/32. Determine k so that -1/2*k + p*k**3 + 1/2*k**4 - 1/2*k**2 + 0 = 0.
-1, 0, 1
Let h(x) be the first derivative of -13*x**4/18 + 134*x**3/27 + 68*x**2/9 - 8*x/3 - 383. Let h(r) = 0. What is r?
-1, 2/13, 6
Let -154/3*u**4 + 2320/3*u**2 + 4/9*u**5 + 13222/9*u**3 - 6728/9*u + 0 = 0. Calculate u.
-1, 0, 1/2, 58
Suppose -140*o = -79*o. Suppose o - 2/7*w**4 + 0*w + 6/7*w**3 - 4/7*w**2 = 0. Calcul