*u + 2/5.
(u - 1)*(u + 2)*(3*u - 1)/5
Let l be ((0 - -1)/1)/((-3)/(-47)). Let w = 16 - l. Suppose 1/3*y + 0 - w*y**2 = 0. What is y?
0, 1
Let r(l) be the third derivative of l**5/90 + l**4/12 - 4*l**3/9 + 39*l**2. Suppose r(b) = 0. Calculate b.
-4, 1
Suppose 0 = 3*w - 7*w + 5*y + 17, -3*w - 1 = -y. Let v be ((-33)/6 - -3)*w. Factor -10 - 8*m - 5*m + 7*m - v*m**2 - 9*m.
-5*(m + 1)*(m + 2)
Suppose 0 = 21*t - 9*t - 24. Let 2*z + 20*z**t - 3*z + 12*z**3 + 4*z + 5*z = 0. What is z?
-1, -2/3, 0
Let c be 2/23 + 4918/46. Let w = c + -105. Solve 0 - 1/4*n**w + 1/4*n = 0 for n.
0, 1
Let v be 1 - (-5 + -2) - -2. Find f, given that 2*f**2 - v*f**2 + 6*f**2 + 2*f = 0.
0, 1
Let a(b) be the first derivative of 4/3*b**3 - 4*b - 1 + 0*b**2. Factor a(m).
4*(m - 1)*(m + 1)
Suppose -3*w + 5*m - 4 = 16, 0 = -2*w - m - 22. Let q = w + 32/3. What is h in 0 + 2/3*h**4 - 2/3*h**3 - 2/3*h**2 + 0*h + q*h**5 = 0?
-1, 0, 1
Factor 215877*p**2 - 15*p**3 - p**4 - 2*p**4 - 9*p - 215898*p**2.
-3*p*(p + 1)**2*(p + 3)
Determine z, given that 168*z - 171 + 642*z**2 + 631*z**2 - 1270*z**2 = 0.
-57, 1
Let m(n) be the first derivative of 3*n**4/4 + 9*n**3 + 69*n**2/2 + 45*n - 47. Factor m(o).
3*(o + 1)*(o + 3)*(o + 5)
Suppose 22 = 5*p - 28. Let 8*w + 3*w**4 + 4*w**4 + 13*w**4 + 2*w**5 + 8 - 10*w**3 - p*w**2 - 18*w**4 = 0. What is w?
-2, -1, 1, 2
Solve -55*o**3 - 7*o**2 + 92*o**2 + 39228 - 39228 + 10*o - 85*o**4 + 45*o**5 = 0 for o.
-1, -1/9, 0, 1, 2
Let y(k) = -2*k - k - 6*k**2 - 5*k - 3 + 2*k. Let u(t) = 17*t**2 + 19*t + 8. Let d(p) = -3*u(p) - 8*y(p). Factor d(f).
-3*f*(f + 3)
Let o(r) = 2*r**3 + 4*r**2 - 46*r - 84. Let z(u) = u**2 - 2*u + 3. Let d(q) = o(q) - 2*z(q). Factor d(i).
2*(i - 5)*(i + 3)**2
Let v(s) be the second derivative of -s**7/20160 - s**6/1440 - s**5/240 - 3*s**4/4 - 4*s. Let r(i) be the third derivative of v(i). Factor r(a).
-(a + 2)**2/8
Let r(p) be the second derivative of -49*p**5/20 - 427*p**4/6 + 250*p**3/3 - 36*p**2 + 114*p. Factor r(x).
-(x + 18)*(7*x - 2)**2
Let z(o) = o**2 + 3*o - 2. Let u(x) = -6*x**2 - 18*x + 28. Let j(y) = u(y) + 5*z(y). Factor j(h).
-(h - 3)*(h + 6)
Let a(l) = -7*l**5 - 2*l**4 - 3*l**3 + 5*l**2 + 10*l + 6. Let q(m) = -3*m**5 - m**4 - 2*m**3 + 2*m**2 + 5*m + 3. Let c(j) = -4*a(j) + 9*q(j). Factor c(s).
(s - 3)*(s - 1)*(s + 1)**3
Let u = -12 - -14. Let i be 1*6*1/u. Let 2*w**3 + 8*w**3 + 3*w**4 - 6 - 4*w**i - 6*w + 3 = 0. Calculate w.
-1, 1
Let w = 2240523/50 - 44812. Let d = -1/25 - w. Let 3/2*x - d*x**3 - 3*x**2 + 3 = 0. What is x?
-2, -1, 1
Find y such that 3*y + 1/3*y**3 + 2*y**2 + 0 = 0.
-3, 0
Let s(q) be the first derivative of 3*q**4/4 + 17*q**3 + 24*q**2 - 335. Factor s(n).
3*n*(n + 1)*(n + 16)
Let f(p) be the first derivative of p**4/6 + 2*p**3/5 + p**2/5 + 38*p - 16. Let y(a) be the first derivative of f(a). Factor y(g).
2*(g + 1)*(5*g + 1)/5
Let y(z) = z**2 - 12*z + 24. Let b be y(2). Let w be (-1)/b + (-7)/(-4). Factor -r**4 - 1/4*r - w*r**3 - r**2 - 1/4*r**5 + 0.
-r*(r + 1)**4/4
Factor 2985*k + 13*k**2 - 9*k**2 - 1025*k + k**2 + 2614 + 189466.
5*(k + 196)**2
Let 17/5*t**3 + 0 + 6/5*t + 7/5*t**4 + 1/5*t**5 + 17/5*t**2 = 0. Calculate t.
-3, -2, -1, 0
Find x, given that -55/7*x + 66/7*x**2 + 2 - 2/7*x**4 - 23/7*x**3 = 0.
-14, 1/2, 1
Let m(l) = l**2 + 10*l - 27. Let x be m(-13). Let x*i**3 - 20*i + 0*i**3 - 7*i**3 = 0. Calculate i.
-2, 0, 2
Let l = 21 - 37. Let h be (-30)/(-11) - (l + 18). Factor h*q**2 + 2/11*q**3 + 8/11*q + 0.
2*q*(q + 2)**2/11
Suppose 72 = 15*n + 9*n. Let l(c) be the second derivative of 1/72*c**4 + 1/36*c**3 + n*c - 1/120*c**5 - 1/12*c**2 + 0. Factor l(j).
-(j - 1)**2*(j + 1)/6
Let a(n) be the third derivative of -1/120*n**4 + 0*n - 7*n**2 + 1/200*n**6 + 0 - 1/15*n**3 + 1/75*n**5. Factor a(d).
(d + 1)**2*(3*d - 2)/5
Suppose 0 = 33*k + 21*k - 89*k + 70. Let 0 + 7/2*q**4 + 9/2*q**3 + 1/2*q + 5/2*q**k + q**5 = 0. What is q?
-1, -1/2, 0
Let j(h) be the first derivative of -4/3*h**3 - 4*h**2 - 4 + 0*h. Factor j(i).
-4*i*(i + 2)
Let s(a) = 3*a**4 - 11*a**3 - 7*a**2 + 9*a + 2. Let t(j) = -6*j**4 + 23*j**3 + 16*j**2 - 18*j - 5. Let u(l) = 5*s(l) + 2*t(l). Factor u(n).
3*n*(n - 3)*(n - 1)*(n + 1)
Let j = -254 - -1282/5. Let a be (22 - 21) + (0 - 0) + 1. Factor 3/5 + 9/5*w**a + j*w.
3*(w + 1)*(3*w + 1)/5
Let h be (-2 - -1)/(234/(-27) + 8). Let p(w) be the first derivative of 9/4*w**4 - 3*w**3 + h*w**2 + 0*w - 3/5*w**5 - 7. Factor p(i).
-3*i*(i - 1)**3
Let z(q) = q + 1. Let m(b) = -3*b**2 + b + 1. Let w = -60 - -61. Let x(r) = w*z(r) - m(r). Factor x(g).
3*g**2
Let q(y) = -355*y**3 + 805*y**2 - 585*y + 125. Let n(t) = -119*t**3 + 269*t**2 - 195*t + 42. Let i(k) = 10*n(k) - 3*q(k). Solve i(w) = 0.
3/5, 1
Let q be ((1 + -1)/(-3 - -5))/(-2). Let i(l) be the third derivative of -1/6*l**5 + 2/3*l**3 - 4*l**2 - 1/4*l**4 + 0*l + q. Find o, given that i(o) = 0.
-1, 2/5
Let l(y) = y**3 - 13*y**2 + 15*y + 6. Let n be l(12). Factor -44*j + 117*j**2 + 7 + n*j**3 - 3 + 5*j**3 - 3*j**3 - 121*j**4.
-(j - 1)*(j + 1)*(11*j - 2)**2
Let p(l) = -3*l**5 + 11*l**4 + 5*l**2 + 5*l. Let u(g) be the first derivative of -g**5/5 - g**3/3 - g**2/2 - 21. Let x(b) = p(b) + 5*u(b). Factor x(q).
-3*q**4*(q - 2)
Let y(v) be the third derivative of 0 - 5/336*v**8 + 0*v**6 - 1/6*v**5 + 0*v + 1/21*v**7 + 0*v**3 + 5/24*v**4 - 13*v**2. Let y(a) = 0. Calculate a.
-1, 0, 1
Let y(p) be the first derivative of -2*p**3/15 - 6*p**2/5 - 16*p/5 + 264. Factor y(j).
-2*(j + 2)*(j + 4)/5
Suppose -h - 20 = -5*l, -11 = -5*l + 4*h + 24. Solve 17*q**3 + 6*q**3 - 8*q**l + 9*q**5 + q + 34*q**4 + 24*q**2 + 31*q**3 - 2 = 0.
-1, 2/9
Let v(d) be the second derivative of d**7/1680 - d**6/480 - d**5/40 - 5*d**4/12 + 25*d. Let m(w) be the third derivative of v(w). Factor m(x).
3*(x - 2)*(x + 1)/2
Let w(f) be the third derivative of -1/120*f**6 + 0*f**3 + 0 + 0*f + 0*f**4 + 0*f**5 - 5*f**2. Factor w(j).
-j**3
Let j = 10900 + -163498/15. Factor 2/15*n + 4/15*n**2 - 4/15 - j*n**3.
-2*(n - 2)*(n - 1)*(n + 1)/15
Let h(g) be the first derivative of 37 + 4/9*g - 1/6*g**2 - 1/27*g**3. Factor h(f).
-(f - 1)*(f + 4)/9
Let n(d) be the second derivative of 2*d**6/5 - 33*d**5/20 + 5*d**4/4 + d**3 + 2*d + 12. What is q in n(q) = 0?
-1/4, 0, 1, 2
Let q(k) be the third derivative of -k**9/9072 + k**8/1008 - k**7/315 + k**6/270 - 17*k**3/3 - 42*k**2. Let l(v) be the first derivative of q(v). Factor l(w).
-w**2*(w - 2)**2*(w - 1)/3
Let r(h) be the first derivative of -2*h**3/9 - 19*h**2/3 - 56*h - 714. Let r(a) = 0. What is a?
-12, -7
Let x(w) be the first derivative of -w**4/20 - 8*w**3/3 - 74*w**2/5 - 144*w/5 + 83. Factor x(j).
-(j + 2)**2*(j + 36)/5
Factor 2/11*k**3 + 0 - 6/11*k**2 - 8/11*k.
2*k*(k - 4)*(k + 1)/11
Let t(r) be the third derivative of 0*r + 9*r**2 + 0 - 1/2*r**3 + 1/20*r**5 + 0*r**4. Factor t(d).
3*(d - 1)*(d + 1)
Suppose 51 = 6*m + 15. Let w(i) = i**3 - 3*i**2 + 5*i - 1. Let s(l) = -l. Let z(f) = m*s(f) + 3*w(f). Factor z(n).
3*(n - 1)**3
Let w(g) be the second derivative of g**4/66 + 8*g**3/33 + 12*g**2/11 + 45*g + 1. Find t, given that w(t) = 0.
-6, -2
Let u(i) be the first derivative of 31/3*i**3 + 11/4*i**4 - 4*i + 8*i**2 - 1. Determine b so that u(b) = 0.
-2, -1, 2/11
Let o be ((0/(-3))/1)/(2 + -1). Determine p so that o*p**2 + 2/7*p + 0 - 2/7*p**3 = 0.
-1, 0, 1
Let m be 472/(-59)*1/(-2). Let s(b) be the first derivative of -1/3*b**3 + 1/4*b**m - 1/2*b**2 + 2 + b. Find d such that s(d) = 0.
-1, 1
Factor -9/5*c**3 + 42/5*c**2 - 18/5 - 39/5*c.
-3*(c - 3)*(c - 2)*(3*c + 1)/5
Factor 61/8*x**3 - 81/4*x + 0 - 17/8*x**4 + 117/8*x**2 + 1/8*x**5.
x*(x - 9)**2*(x - 1)*(x + 2)/8
Let 40*i - 49*i**2 + 131*i**2 - 16 - 10*i**3 - 54*i**2 - 6*i**4 = 0. What is i?
-2, 1/3, 2
Let f(q) be the third derivative of 0*q**7 + 1/8*q**6 - 5/336*q**8 - 32*q**2 + 0*q + 0*q**4 + 0*q**3 - 1/6*q**5 + 0. Suppose f(n) = 0. Calculate n.
-2, 0, 1
Let l(c) be the first derivative of -23 + 0*c**3 - 3/5*c**5 - 6*c**2 + 9/4*c**4 + 0*c. Determine y so that l(y) = 0.
-1, 0, 2
Let u(d) be the first derivative of -3*d**4/4 - 6*d**3 - 18*d**2 - 24*d + 241. Factor u(a).
-3*(a + 2)**3
Find n such that 0*n**4 + 12*n**5 + 54*n**4 - n**4 - 11*n**4 - 10*n**4 + 20*n**3 = 0.
-5/3, -1, 0
Let f(v) = 3*v**3 - 4*v. Let m(b) = -24*b**3 - 3*b**2 + 33*b. Let g(o) = 33*f(o) + 4*m(o). Factor g(n).
3*n**2*(n - 4)
Let y(g) = g**3