y + 0 + 1/10*y**5 = 0. Calculate y.
-2, 0, 1, 7
Suppose 5*s - 36 - 39 = 0. Suppose -5*t = -s*t + 20. Factor 4/5 - 2/5*z + 2/5*z**3 - 4/5*z**t.
2*(z - 2)*(z - 1)*(z + 1)/5
Let j = -5 - -9. Determine x, given that 16*x**j + 19*x**4 + 15*x**3 - 40*x**3 - 10*x**2 = 0.
-2/7, 0, 1
Let 6/7*i - 2/7*i**2 - 4/7 = 0. What is i?
1, 2
Factor -11*h - 47*h - 18*h - 12*h + 1936 + h**2.
(h - 44)**2
Suppose 133*p - 2*v = 139*p - 18, p = -3*v + 3. Suppose 0 + 26/3*s**p + 24*s - 40*s**2 + 20/3*s**4 + 2/3*s**5 = 0. What is s?
-6, 0, 1
Let h be (-48)/(-15) + 20/25 + -3. Let b(u) = u**2 - u. Let k(y) = -y. Let n be k(1). Let v(q) = q - 1. Let c(l) = h*b(l) + n*v(l). Factor c(a).
(a - 1)**2
Suppose f = -2*a + 4, 8*a = 4*a + 4*f + 8. Find b such that 18/11*b**3 - 6/11*b**5 + 0 + 6/11*b**a - 12/11*b - 6/11*b**4 = 0.
-2, -1, 0, 1
Let w be 2 + (3/(-15) - 18/(-15)). Suppose -w*x + 14 = 2. Let 0*u + 2/7*u**2 + 0 + 0*u**3 - 2/7*u**x = 0. What is u?
-1, 0, 1
Let n(p) be the second derivative of -7/27*p**3 - 1/3*p**4 - 1/18*p**5 + 0 - 11*p + 2/3*p**2. Factor n(d).
-2*(d + 1)*(d + 3)*(5*d - 2)/9
Let g be 4/(-6) - 1350/(-1296). What is t in -15/8*t**3 - 3*t**2 - g*t**4 + 0 - 3/2*t = 0?
-2, -1, 0
Let s(f) be the first derivative of -f**5/60 + f**4/12 - f**3/6 + 17*f**2/2 + 12. Let a(v) be the second derivative of s(v). Find b, given that a(b) = 0.
1
Let s = -5745/28 + 1438/7. Determine q so that -q - 1/4 - s*q**4 - q**3 - 3/2*q**2 = 0.
-1
Let u be (-34)/28*(-544)/320. Let l(b) be the third derivative of -157/40*b**5 - u*b**7 + 0 - 6*b**2 - b**3 + 0*b - 15/4*b**4 + 51/8*b**6. Solve l(h) = 0 for h.
-2/17, 1
Let b(x) = 28*x**3 - 7*x**2 - 21*x + 25. Let l(s) = 5*s**3 + s**2 - 1. Let h(w) = b(w) - 5*l(w). Suppose h(y) = 0. Calculate y.
-2, 1, 5
Let u(j) be the third derivative of -j**5/105 + 121*j**4/42 - 9*j**2 - j. Solve u(r) = 0 for r.
0, 121
Let y be 8/(-342)*18/(-20)*5. What is b in 0*b - y*b**2 + 0 = 0?
0
Suppose -3*p + p = 0. Let z(s) = -s**2 + 7. Let m be z(p). Factor -9*k**2 + k**4 + m*k**2 + 2*k**3 + 0 - k**5 - k + 1.
-(k - 1)**3*(k + 1)**2
Let g = -150182/7 - -21458. Suppose 3/7*r**3 - 12/7 - 15/7*r**2 + g*r = 0. Calculate r.
1, 2
Let z(l) be the first derivative of -2/9*l**2 - 4/9*l + 4/27*l**3 + 38 + 1/9*l**4. Determine t so that z(t) = 0.
-1, 1
Let n(y) = -28*y. Let r be n(0). Factor 0 - 3/2*l**2 + r*l.
-3*l**2/2
Suppose -12*a - 3*a + 45 = 0. Factor r**3 + 2*r - 8 - 10*r**a - r**3 + 5*r**2 + 11*r**3.
(r - 1)*(r + 2)*(r + 4)
Let y(l) be the first derivative of -l**3 - 3/20*l**4 + 3/10*l**2 + 3*l + 53. Factor y(p).
-3*(p - 1)*(p + 1)*(p + 5)/5
Let s be -1 + -2 - 104/2. Let n be (10/8)/(s/(-66)). What is o in -1/2*o**2 + 0 - n*o = 0?
-3, 0
Factor -9*q**2 + 0 + 48*q**4 + 20*q**5 - 8 - 36*q - 28*q**2 - 3*q**2 + 16*q**3.
4*(q - 1)*(q + 1)**3*(5*q + 2)
Suppose 3*t + 4 + 9 = -p, 0 = -3*p - 3*t - 9. Solve -p*a**2 + 8 - 2*a**2 + 0*a**2 + 4*a = 0.
-1, 2
Suppose -40 + 2 = 2*b. Let x = b + 23. Solve 3*g**3 + 0 + 3/5*g**5 + 6/5*g**2 + 12/5*g**x + 0*g = 0.
-2, -1, 0
Let s(t) be the first derivative of -7*t**2 - 81*t - 98. Let f be s(-6). Factor -24*d + 156*d**2 - 338*d**f + 16/13.
-2*(13*d - 2)**3/13
Factor -5 - 4*r**2 - 3 - 38*r - 10*r**2 + 6*r.
-2*(r + 2)*(7*r + 2)
Suppose -4*s - s = 5*z - 165, 3*s = -z + 43. Let h be 0*(z/8 + -4). Determine c so that -1/3*c + 1/3*c**2 + h = 0.
0, 1
Let y(r) be the third derivative of r**5/12 - 5*r**4/6 + 10*r**3/3 - 48*r**2. Factor y(v).
5*(v - 2)**2
Let x(t) = -t**2 + 3*t - 1. Let i(n) = 27*n**2 + 72*n + 96. Let k(l) = -i(l) - 15*x(l). Factor k(c).
-3*(c + 9)*(4*c + 3)
Let m(p) = 15*p**2 + 98*p + 214. Let x(c) = -5*c**2 - 32*c - 71. Let j(y) = 4*m(y) + 11*x(y). Let j(s) = 0. Calculate s.
-5, -3
Let f = -4/3 - -2. Let z(p) = 2*p**2 + 34*p - 34. Let r be z(-18). Factor f*q**r + 8/3*q + 8/3.
2*(q + 2)**2/3
Suppose 3*x - 21 = -3*u, 0 = -4*u - u + 4*x + 53. Let d be 4/(u/((-9)/(-2))). Factor 6/7*w**d - 2/7 + 4/7*w.
2*(w + 1)*(3*w - 1)/7
Let 344/3*n**3 - 4/9*n**4 + 0 + 0*n - 7396*n**2 = 0. What is n?
0, 129
Let w(m) be the second derivative of m**6/15 + m**5/10 - m**4/6 - m**3/3 - 2*m - 63. Find o such that w(o) = 0.
-1, 0, 1
Suppose 4*u + 32 = 684. Solve u*f + 3*f**3 - 169*f + 2*f**2 + f**2 = 0 for f.
-2, 0, 1
Let q(l) be the first derivative of -21 + 20*l - 50*l**2 + 45/4*l**4 + 35/3*l**3. Find m such that q(m) = 0.
-2, 2/9, 1
Determine q so that -20*q**3 - 16*q**5 - 67*q**2 + 27*q - 1 + 15*q - 19*q**2 + 37 + 56*q**4 = 0.
-1, -1/2, 3/2, 2
Let c(u) = -u**2 + 0 - 4*u - 3 - 2*u. Let h = 26 - 27. Let d(a) = a**2 + 1. Let f(b) = h*c(b) - 5*d(b). Solve f(x) = 0.
1/2, 1
Let g = 889 - 882. Let x(m) be the first derivative of -2/9*m**2 + 2/45*m**5 - 10/27*m**3 - g + 0*m + 1/27*m**6 - 1/6*m**4. Find f, given that x(f) = 0.
-1, 0, 2
Let v(d) be the second derivative of -5 - 9/2*d**5 - 5/42*d**7 + 2*d + 0*d**2 - 20/3*d**3 + 7/6*d**6 + 25/3*d**4. Factor v(h).
-5*h*(h - 2)**3*(h - 1)
Let n = -7 + 12. Let n*x**4 + 6*x**3 + 9*x**5 + 2*x**4 + x**4 + 7*x**4 = 0. What is x?
-1, -2/3, 0
Factor -180/7*w - 3/7*w**2 - 2700/7.
-3*(w + 30)**2/7
Suppose 0 = -3*s - 4*w - 13 + 5, 5*s - 10 = -2*w. Let i(k) be the second derivative of 0 + 6*k + 1/5*k**2 + 2/15*k**3 + 1/30*k**s. What is v in i(v) = 0?
-1
Solve -256/3*j + 96 - 32/3*j**2 + 24*j**3 - 10/3*j**4 - 2/3*j**5 = 0 for j.
-9, -2, 2
Factor 384*j + 9508*j**2 - 241*j**3 - 158*j**3 + 2777*j**2 - 10964 - 1324 + 15*j**3 + 3*j**4.
3*(j - 64)**2*(j - 1)*(j + 1)
Let l = -480 - -1444/3. Let 0 - 2/3*p**2 - l*p + 2/3*p**3 = 0. What is p?
-1, 0, 2
Factor -1/3*y**2 - 8/3 - 2*y.
-(y + 2)*(y + 4)/3
Factor -64/11*p + 8/11*p**3 + 128/11 + 2/11*p**4 - 24/11*p**2.
2*(p - 2)**2*(p + 4)**2/11
Let f(h) = -65*h**4 + 15*h**3 + 55*h**2 - 25*h. Let i(p) = -8*p**4 + 2*p**3 + 7*p**2 - 3*p. Let y(q) = 3*f(q) - 25*i(q). Factor y(o).
5*o**2*(o - 2)*(o + 1)
Let x(z) be the third derivative of z**5/15 + 61*z**4/6 + 40*z**3 + 416*z**2. Factor x(i).
4*(i + 1)*(i + 60)
Factor 6*s + 2/3*s**2 + 28/3.
2*(s + 2)*(s + 7)/3
Let a(d) = d**3 - 6*d**2 + 3*d - 14. Let l be a(6). Factor -10*m**l + 10*m**2 - 448 + 448 - 4*m**3 + 4*m.
-2*m*(m - 1)*(m + 1)*(5*m + 2)
Let z be 1/(8/3 - 3) + 7. Suppose -z = -3*h - 4. Factor -2/7*q**5 + 2/7*q**3 + h + 0*q**2 + 0*q**4 + 0*q.
-2*q**3*(q - 1)*(q + 1)/7
Let n(b) = 3*b**3 + 4*b**2 - 3*b. Let f(l) = -2*l**3 - 3*l**2 + 2*l. Let r(c) = 3*c. Let m be r(1). Let j(g) = m*n(g) + 4*f(g). What is w in j(w) = 0?
-1, 0, 1
Let x(k) be the third derivative of -1/15*k**5 + 0*k**3 - 2/105*k**7 - 1/15*k**6 + 0*k**4 + 0*k + 0 + k**2. Let x(b) = 0. Calculate b.
-1, 0
Let s(w) be the third derivative of -1/10*w**5 + 0 - 25/6*w**3 + 0*w + 9*w**2 - 15/16*w**4 - 1/240*w**6. Factor s(v).
-(v + 2)*(v + 5)**2/2
Let k = 103 - 99. Suppose 0 = -2*d - 0*m + k*m + 22, 4*m + 16 = 0. Factor 3/2*l**d - 3/2*l**4 + 3*l**2 + 0*l + 0.
-3*l**2*(l - 2)*(l + 1)/2
Let r be -2 + ((-32)/20)/((-14)/20). Suppose -18 + 10 = -2*v. Solve -2/7*h**v + 8/7*h**2 + h - 1/7*h**5 + 2/7 + r*h**3 = 0.
-1, 2
Factor -13*w**3 - 58*w + 60*w**2 - 81*w - 3388 + 17*w**3 + 7*w.
4*(w - 7)*(w + 11)**2
Let o be 10/(-25) + 54/35. Let m = 884/3241 + 6/463. Solve 10/7*g**2 - o*g**3 - 4/7*g + m*g**4 + 0 = 0.
0, 1, 2
Let f(n) = -8*n**4 - 28*n**3 + 36*n**2 + 24*n - 20. Let a(j) = 9*j**4 + 28*j**3 - 36*j**2 - 23*j + 17. Let l(b) = 4*a(b) + 5*f(b). Factor l(g).
-4*(g - 1)**2*(g + 1)*(g + 8)
Let f(b) be the third derivative of b**7/168 - b**6/24 + 5*b**4/6 + 11*b**3/6 + 4*b**2. Let h(i) be the first derivative of f(i). Find l, given that h(l) = 0.
-1, 2
Let u(r) be the second derivative of -r**6/10 - 17*r**5/20 + 14*r**4/3 - 2*r**3/3 - 16*r**2 + 205*r. Solve u(n) = 0.
-8, -2/3, 1, 2
Factor -8*q**2 - 21 + 4*q**3 - 25*q - 27*q - 19 + 0*q**2.
4*(q - 5)*(q + 1)*(q + 2)
Let y(b) be the second derivative of -2/3*b**6 + 5/6*b**3 + 0 - 5/3*b**4 + 3/2*b**5 + 29*b + 0*b**2 + 5/42*b**7. Factor y(d).
5*d*(d - 1)**4
Let g(l) be the second derivative of l**6/720 - l**5/60 + l**4/16 + 11*l**3/6 + 38*l. Let h(p) be the second derivative of g(p). Factor h(r).
(r - 3)*(r - 1)/2
Let s be (2/5)/((-3)/(-15)). Suppose 2*l + 3*o - 15 = 4*o, -4*l = -4*o - 36. Solve 0*q**2 - 4*q**2 - s*q + l*q**2 = 0.
0, 1
Let f(a) be the second derivative of 9*a + 1/4*a**4 + 1/5*a**5 - 2*a**2 + 0 - 2/3*a**3 + 1/30*a**6. Factor f(z).
(z - 1)*(z 