 28 + 4*b**3 - b**3 = 0.
-1, 2
Let z(x) be the third derivative of -x**5/330 - 8*x**4/33 - 256*x**3/33 + 311*x**2. Factor z(t).
-2*(t + 16)**2/11
Let u be -11 + 156/6 + -11. Suppose -6*a - 2*a**2 + 10/3*a**3 - 2/3*a**u + 0 = 0. Calculate a.
-1, 0, 3
Let u(x) = -x**2 + x. Let m(a) = 4*a**3 - 48*a**2 + 80*a - 36. Let y(l) = -m(l) + 4*u(l). Let y(g) = 0. Calculate g.
1, 9
Let y(j) = j**3 + 10*j**2 + 10*j + 10. Let q be y(-9). Suppose -q - 3 = -2*l. Find k such that -40/3*k - 50/3*k**l - 8/3 = 0.
-2/5
Let d(v) = -3*v**4 + 3*v**3 - 5*v**2 - 3*v + 4. Let g(p) = -2*p**4 + 2*p**3 - 5*p**2 - 3*p + 3. Let m(o) = 3*d(o) - 4*g(o). Factor m(w).
-w*(w - 3)*(w + 1)**2
Let f(k) = k**3 - 2*k**2 - k - 1. Let y(w) = -12*w**3 + 38*w**2 - 38*w + 42. Let v(x) = -10*f(x) - y(x). What is u in v(u) = 0?
1, 4
Let k(c) be the third derivative of c**10/30240 - c**9/7560 + c**7/1260 - c**6/720 - c**4/2 + 4*c**2. Let m(n) be the second derivative of k(n). Factor m(h).
h*(h - 1)**3*(h + 1)
Let w be 6*(0 - 4/(-8)). Determine c so that 14*c**w - 6*c**2 - 7*c**3 + 15*c - 2*c**3 - 5*c**4 + 31*c**2 = 0.
-1, 0, 3
Let c(q) be the third derivative of q**10/181440 - q**9/181440 - q**5/5 - 23*q**2. Let f(d) be the third derivative of c(d). Factor f(x).
x**3*(5*x - 2)/6
Let z be 342 - 349 - (2/5 - (-146)/(-15)). Factor z*o - 7/3*o**3 - 2/3*o**2 + 2/3.
-(o - 1)*(o + 1)*(7*o + 2)/3
Let j(m) = -6*m**2 + 548*m + 38626. Let l(t) = -t**2 - t - 2. Let z(y) = j(y) - 8*l(y). Solve z(b) = 0.
-139
Let p(k) = -50*k - 1400. Let s be p(-28). Factor s + 3/7*g**5 + 0*g + 0*g**2 - 6/7*g**4 + 3/7*g**3.
3*g**3*(g - 1)**2/7
Let s be (-5)/(-99)*71/213 + (-4)/(-54). Factor 48/11*t - 36/11 + s*t**3 - 13/11*t**2.
(t - 6)**2*(t - 1)/11
Let u(m) be the first derivative of -1/2*m**3 - 28 + 0*m + 3/32*m**4 + 9/16*m**2. Determine z, given that u(z) = 0.
0, 1, 3
Find m, given that -3/8*m**5 + 3/4*m**3 - 15/4*m**2 - 3/8*m + 15/8*m**4 + 15/8 = 0.
-1, 1, 5
Let a be 2/(3/(3 - 0)). Let g = 1/174 - -43/87. Find v, given that -g*v**3 + 0*v + 5/2*v**4 + 0 + 0*v**a - 2*v**5 = 0.
0, 1/4, 1
Suppose -102 = -109*j + 334. Let 0 + 2/3*y**2 + 2/3*y - 2/3*y**j - 2/3*y**3 = 0. Calculate y.
-1, 0, 1
Let s(f) = 3*f**4 - 13*f**3 - 58*f**2 - 73*f - 41. Let v(p) = -p**4 + 7*p**3 + 29*p**2 + 37*p + 20. Let t(y) = 2*s(y) + 5*v(y). Factor t(z).
(z + 1)*(z + 2)*(z + 3)**2
Let i(k) be the second derivative of k**4/3 + 46*k**3/3 - 29*k. Find d, given that i(d) = 0.
-23, 0
Let l(p) be the second derivative of p**7/98 - p**6/70 - 3*p**5/28 + 5*p**4/28 + 2*p**3/7 - 6*p**2/7 - 110*p - 1. Let l(z) = 0. Calculate z.
-2, -1, 1, 2
Let g(s) be the first derivative of 4*s**3/3 + 30*s**2 + 104*s - 10. Factor g(y).
4*(y + 2)*(y + 13)
Let o = -10871 + 43485/4. Factor 1/2*j**2 - 3/4*j + 0 + o*j**3.
j*(j - 1)*(j + 3)/4
Let f(v) be the third derivative of 0*v**3 + 34*v**2 + 0*v - 1/70*v**5 + 0 - 1/42*v**4 - 1/420*v**6. Factor f(x).
-2*x*(x + 1)*(x + 2)/7
Let p = 4927/1479 + 1/493. Let d(r) = -2*r + 32. Let c be d(15). Determine j, given that 16/3*j**4 + 8/3*j**5 + p*j**3 + 2/3*j**c + 0 + 0*j = 0.
-1, -1/2, 0
Suppose 3*l = 4*v + 6, -5*l - 4 = -5*v - 14. Suppose 3*p - l = -2. Let 1/5*k**2 - 1/5*k**4 + p - 2/5*k**3 + 2/5*k = 0. Calculate k.
-2, -1, 0, 1
Suppose -50*q**2 + 6*q**5 + 91*q + 2*q**4 - 260*q + 97*q + 88*q + 24 - 46*q**3 = 0. Calculate q.
-2, -1, 2/3, 3
Let k(o) = 30*o**3 + 25*o**2 - 10*o + 5. Let h(l) = -6*l**2 + 2*l + 1 + 0*l + 5*l**2 - 3*l - l**3. Let g(p) = -25*h(p) - k(p). Solve g(w) = 0 for w.
-3, 1, 2
Let k be ((-4)/(-90)*3)/(225/1500). Factor k*x - 2/9*x**3 + 2/3*x**2 + 0.
-2*x*(x - 4)*(x + 1)/9
Suppose -16 = -9*w + 5*w. Factor 4*o**3 + 8*o**2 + w*o**3 + 6*o**3 - 2*o**5 + 4*o**4.
-2*o**2*(o - 4)*(o + 1)**2
What is h in -14/5*h + 2/15*h**2 - 44/15 = 0?
-1, 22
Let q be (1 - 88/20) + (-35)/(-7). Factor 2*b**2 - q - 16/5*b.
2*(b - 2)*(5*b + 2)/5
Let c(i) = i**2 + 12*i + 38. Let y be c(-6). Let a be 0*(-2)/4 + y*1. Factor 8/3*x + 1/3*x**4 + a*x**3 + 0 + 4*x**2.
x*(x + 2)**3/3
Let r = 3/3211 + 32101/9633. Determine c, given that -5*c - r*c**2 - 5/3 = 0.
-1, -1/2
Let -87/4 + 43/2*v + 1/4*v**2 = 0. Calculate v.
-87, 1
Let z = -14467/7 - -2067. Suppose -18/7*s**2 + z*s**5 + 0 + 30/7*s**3 - 2*s**4 + 0*s = 0. What is s?
0, 1, 3
Let v = 2/221 + -739/106080. Let t(a) be the third derivative of 6*a**2 + 0*a - v*a**6 + 0 + 1/120*a**5 + 0*a**4 + 0*a**3. Find q such that t(q) = 0.
0, 2
Let c(d) be the second derivative of -8/5*d**3 + 21/100*d**5 + 2/5*d**4 + 32*d + 0 + 1/50*d**6 + 0*d**2. Factor c(f).
3*f*(f - 1)*(f + 4)**2/5
Let m(z) = 49*z**2 + 837*z + 180. Let w(c) = 123*c**2 + 2091*c + 450. Let j(t) = -12*m(t) + 5*w(t). Factor j(g).
3*(g + 15)*(9*g + 2)
Let o(p) = p**3 + 3*p**2 + p - 2. Let w(q) = 6*q**3 + 15*q**2 + 7*q - 14. Let l(k) = 35*o(k) - 5*w(k). What is h in l(h) = 0?
-6, 0
Factor 20 + 26/3*u - 2/3*u**2.
-2*(u - 15)*(u + 2)/3
Let d(h) be the second derivative of 1/15*h**6 + 0 - 3*h**4 - 20/3*h**3 - 2/5*h**5 + 8*h - 7*h**2. What is n in d(n) = 0?
-1, 7
Factor 32 - 2*k - 4*k**2 + 2*k**2 + 0*k - 8.
-2*(k - 3)*(k + 4)
Let k(i) = -9*i**5 - 27*i**4 + 18*i**3 + 18*i**2 - 9*i + 9. Let w(m) = -m**5 - m**4 + m**2 + m. Let z(a) = -k(a) + 12*w(a). Factor z(c).
-3*(c - 3)*(c - 1)**3*(c + 1)
Find j such that 158/3*j**2 - 22/3*j**3 + 0 - 28/3*j = 0.
0, 2/11, 7
Let p(b) be the third derivative of b**5/300 + 3*b**4/40 + 2*b**3/3 - b**2 + 131. Factor p(f).
(f + 4)*(f + 5)/5
Factor 3/5*o**2 - 66/5 + 27/5*o.
3*(o - 2)*(o + 11)/5
Factor -51/2*d - 3/2*d**2 - 63.
-3*(d + 3)*(d + 14)/2
Let i(r) be the second derivative of r**4/6 + 8*r**3/3 - 33*r**2 - 79*r. Determine z so that i(z) = 0.
-11, 3
Let c(g) be the third derivative of -g**7/210 - 13*g**6/60 - 47*g**5/20 + 91*g**4/6 - 98*g**3/3 + 121*g**2. Factor c(x).
-(x - 1)**2*(x + 14)**2
Let x = -8 + 114. Solve 6*z**2 + 2*z**3 - 112*z + 2 + x*z - 4*z**3 = 0 for z.
1
Determine g, given that -478/11*g + 4/11 - 482/11*g**2 = 0.
-1, 2/241
Factor -3 - 11*j**3 + 105*j + 8 - 60*j**2 + 16*j**3 - 55.
5*(j - 10)*(j - 1)**2
Let d(a) be the first derivative of -1/7*a**2 - 4 - 2/21*a**3 + 1/14*a**4 + 2/35*a**5 + 0*a. Factor d(r).
2*r*(r - 1)*(r + 1)**2/7
Let c be (85/15 - 3)/((-8)/(-12)). Let d be -9*(-8)/12 + c/(-1). Find r such that -4/7 - 2/7*r**d + 6/7*r = 0.
1, 2
Let m(q) be the second derivative of 2*q**6/75 - 3*q**5/100 - q**4/12 + q**3/10 + q**2/10 - 18*q. Factor m(p).
(p - 1)**2*(p + 1)*(4*p + 1)/5
Suppose -3*h = -7*h + 224. Let c = 56 - h. Factor 0 - 2/5*z**2 + 2/5*z**3 + c*z.
2*z**2*(z - 1)/5
Determine c so that -132*c - 6534 - 2/3*c**2 = 0.
-99
Suppose -52*w - 44 = -63*w. Let p(i) be the first derivative of 13/3*i**3 + 4*i + 3/2*i**w + 7 + 6*i**2 + 1/5*i**5. Factor p(s).
(s + 1)**2*(s + 2)**2
Let q be ((-18)/(-3))/(10/5). Suppose i = -1 + 5, -q*a + i + 2 = 0. Factor -4/7*j + 0 - 2/7*j**a.
-2*j*(j + 2)/7
Let p(y) be the first derivative of -y**6/24 + y**5/10 + 5*y**4/16 - 5*y**3/6 - y**2/2 + 2*y - 176. Solve p(c) = 0.
-2, -1, 1, 2
Factor 2*r + 0 - 1/4*r**2.
-r*(r - 8)/4
Let u = -2203/2 - -1102. Factor -2*r - 3/2 - u*r**2.
-(r + 1)*(r + 3)/2
Let b(c) be the first derivative of -3*c**4/16 - c**3/4 + 15*c**2/8 - 9*c/4 + 148. Solve b(o) = 0 for o.
-3, 1
Factor 52/7*r**3 + 16/7*r + 24/7*r**4 + 0 + 4/7*r**5 + 48/7*r**2.
4*r*(r + 1)**2*(r + 2)**2/7
Let u(r) be the first derivative of -r**4/12 + r**3/3 + 32*r - 9. Let y(o) be the first derivative of u(o). Factor y(g).
-g*(g - 2)
Let i(c) be the first derivative of -2*c**6/3 + 16*c**4 + 152*c**3/3 + 66*c**2 + 40*c + 640. Factor i(k).
-4*(k - 5)*(k + 1)**3*(k + 2)
Factor 48*i**3 + 103*i**2 + 31*i + 87 + 209*i + 4*i**4 + 69*i**2 + 25.
4*(i + 1)*(i + 2)**2*(i + 7)
Let g(p) = -9*p**2 - 2*p - 73. Let k(t) = -t**2 + 2*t + 1. Let z(r) = 5*g(r) - 40*k(r). Suppose z(o) = 0. What is o?
-9
Let t(h) be the first derivative of h**6/360 - h**5/45 + 5*h**4/72 - h**3/9 + 9*h**2/2 + 4. Let a(z) be the second derivative of t(z). Solve a(l) = 0 for l.
1, 2
Let q(s) be the second derivative of -s**5/25 + 13*s**4/20 + s**3/3 + 50*s. Solve q(p) = 0.
-1/4, 0, 10
Let z be 3 - (132/13)/4. Let j be ((-3)/(-26))/((-5)/1100*-15). Solve -z*b**5 - 30/13*b**3 - 4/13*b - 18/13*b**2 - j*b**4 + 0 = 0.
-1, -2/3, 0
Let w = -307/153 - -36/17. Let d(m) be the second derivative of 5/18*m**4 - 1/10*m**5 - 8*m - 1/3*m*