, 1
Let i be 148/28 + (-6)/21. Factor -y - 3*y**3 + 7*y**3 - y**i - y**5 - y.
-2*y*(y - 1)**2*(y + 1)**2
Suppose -14*a + 42 = -0*a. Factor -8/3*o - 8/3*o**a + 2/3 + 2/3*o**4 + 4*o**2.
2*(o - 1)**4/3
Let d(j) be the second derivative of -j**4/4 + 3*j**3 - 12*j**2 + 13*j. Factor d(q).
-3*(q - 4)*(q - 2)
Suppose 5*f + 62 = -s, 5*f - 3*s = 2*f - 30. Let o be 2/f*(2 - 4). Factor 0*i + 0 + o*i**4 + 1/3*i**2 + 2/3*i**3.
i**2*(i + 1)**2/3
Let k(q) = -17*q - 372. Let h be k(-22). Solve 9/4 + 15/4*w + 3/4*w**h - 3/4*w**3 = 0 for w.
-1, 3
Factor -4/9*g + 2/9 + 2/9*g**2.
2*(g - 1)**2/9
Let d(c) be the second derivative of -c**5/5 - c**4/4 - c**3/8 + c**2/2 - 5*c. Let n(t) be the first derivative of d(t). Determine h, given that n(h) = 0.
-1/4
Suppose -18 = -6*n - 0. Factor 1/3*o + 0 + 1/3*o**n + 2/3*o**2.
o*(o + 1)**2/3
Let x(a) be the third derivative of -1/20*a**6 + 0*a + 0*a**3 - 4*a**2 + 0*a**4 + 0 + 0*a**5 + 1/70*a**7. Determine o, given that x(o) = 0.
0, 2
Factor -1/2*h**2 - 1/6 + 1/2*h + 1/6*h**3.
(h - 1)**3/6
Let r be -3 - ((-85)/10 + 1). Factor 3/2*c**5 + 0*c - r*c**4 + 9/2*c**3 + 0 - 3/2*c**2.
3*c**2*(c - 1)**3/2
Determine j, given that 0*j + 15/4*j**3 + 15/4*j**4 + 5/4*j**5 + 0 + 5/4*j**2 = 0.
-1, 0
Let x(s) = 3*s**3 + 21*s**2 + 13*s - 5. Let j(l) = 2*l**3 + 10*l**2 + 6*l - 2. Let r(z) = -5*j(z) + 2*x(z). Factor r(m).
-4*m*(m + 1)**2
Let n(i) = -i**3 + 3*i**2 + 6*i - 3. Let h be n(5). Let o = h + 23. What is q in 3/2*q**4 + o*q + 0 + 1/2*q**2 + 1/2*q**5 + 3/2*q**3 = 0?
-1, 0
Suppose 0 = -6*t + 8*t. Let r(v) = v - 15. Let d be r(15). Let -2/7*y**2 + t*y + d = 0. Calculate y.
0
Let w = -2 + -1. Let z be w/2*(-8)/3. Suppose 0*n**4 - 5*n**4 + z + n**2 - 12*n**3 + 4*n + 8*n = 0. Calculate n.
-2, -1, -2/5, 1
Let z = 2 - -1. Determine i so that -12*i + 3 - 9*i**2 - 9 + 2 - 4*i**3 + 2*i**z = 0.
-2, -1/2
Let t(h) be the third derivative of h**7/1260 - h**5/180 + h**3/36 + 2*h**2. Factor t(m).
(m - 1)**2*(m + 1)**2/6
Let g = -15 + 18. Let l(x) be the third derivative of -3/20*x**5 - 1/4*x**4 - 1/6*x**g + 2*x**2 + 0*x + 0. Find p, given that l(p) = 0.
-1/3
Let s(w) be the first derivative of 9*w**6/35 + 9*w**5/35 + 3*w**4/28 + w**3/42 - w**2 + 1. Let p(i) be the second derivative of s(i). Factor p(k).
(6*k + 1)**3/7
Let o(l) be the second derivative of l**5/110 - l**4/33 - l**3/33 + 2*l**2/11 + 11*l. Factor o(i).
2*(i - 2)*(i - 1)*(i + 1)/11
Suppose -4*u = -11 - 21. Let b(a) = -a**2 + 8*a + 2. Let i be b(u). Determine k, given that 2/5 - 2/5*k**i + 2/5*k - 2/5*k**3 = 0.
-1, 1
Let t(w) = -100*w**4 + 210*w**3 + 450*w**2 + 230*w + 45. Let d(g) = 9*g**4 - 19*g**3 - 41*g**2 - 21*g - 4. Let a(z) = 45*d(z) + 4*t(z). Factor a(u).
5*u*(u - 5)*(u + 1)**2
Let y(x) = -3*x**4 + x**3 + 4*x - 7. Let i(t) = t**4 - 2*t + 3. Let q(d) = 5*i(d) + 2*y(d). Factor q(r).
-(r - 1)**3*(r + 1)
Let d = 11/26 - -1/13. Find j, given that 0 + 0*j + 1/2*j**2 - d*j**3 = 0.
0, 1
Suppose -2*h - l = 6, 13 = -4*h - l + 3. Let d be h/(-3) + (-40)/96. Suppose 1/2*u - d - 1/4*u**2 = 0. What is u?
1
Let b(o) be the second derivative of 0 + 1/18*o**4 - 2*o + 1/3*o**2 + 2/9*o**3. Let b(x) = 0. What is x?
-1
Let m(x) be the second derivative of x**7/105 - x**6/60 - x**5/10 + x**4/12 + 2*x**3/3 + 3*x**2/2 + 6*x. Let w(p) be the first derivative of m(p). Factor w(i).
2*(i - 2)*(i - 1)*(i + 1)**2
Let s(l) be the third derivative of -l**7/70 + l**6/40 + l**5/10 - 27*l**2. Factor s(h).
-3*h**2*(h - 2)*(h + 1)
Let c = 14 - 10. Solve -4*h**3 + c*h**3 + 3*h**3 = 0.
0
Let g(y) be the second derivative of -y**6/720 - y**5/240 - 2*y**3/3 - 3*y. Let b(v) be the second derivative of g(v). Factor b(f).
-f*(f + 1)/2
Let y(r) be the second derivative of r**7/189 + r**6/27 + 7*r**5/90 - r**4/54 - 8*r**3/27 - 4*r**2/9 - 10*r. Let y(n) = 0. Calculate n.
-2, -1, 1
Let p be -2 + 0 + (1 - 0). Let b be (108/10)/6 + p. Solve -2/5*y + b*y**2 + 0 = 0.
0, 1/2
Suppose 6 + 4 = 5*d. Factor -14*q**2 - d*q + 5 - q - q - 3 - 8*q**3.
-2*(q + 1)**2*(4*q - 1)
Let q(u) be the second derivative of 0*u**3 + 0*u**2 + 0*u**4 + 0 + 0*u**5 - 1/189*u**7 + u - 1/135*u**6. Factor q(o).
-2*o**4*(o + 1)/9
Let v be -2 - (-1)/((-3)/(-15)). Factor g**2 - 1/2*g + 1/2*g**5 - g**4 + 0 + 0*g**v.
g*(g - 1)**3*(g + 1)/2
Let z(d) = 8*d**5 + 8*d**4 + 16*d**3 + 10*d**2 + 14*d. Let x(y) = y**5 + y**4 + y**3 + y. Let s(l) = 10*x(l) - z(l). Factor s(g).
2*g*(g - 2)*(g + 1)**3
Let n(g) = g - 2. Let r be n(5). Factor a**4 + 2 - 5*a**2 + a**4 + 8*a + 17*a**2 + 8*a**r.
2*(a + 1)**4
Let h(p) be the first derivative of p**4/10 + 18*p**3/5 + 243*p**2/5 + 1458*p/5 + 51. Find j, given that h(j) = 0.
-9
Let h = -18 - -10. Let b = 10 + h. Factor 6*q**2 - 6 - 3*q - 13*q**b + 7*q**2 + 3*q**2.
3*(q - 2)*(q + 1)
Let h(i) = -i. Let o(v) = 3*v**2 - 2*v - 12. Let a(x) = 2*h(x) - o(x). Factor a(n).
-3*(n - 2)*(n + 2)
Let w(u) = u - 5. Let v = 1 + 4. Let c be w(v). Suppose -4/3*j**3 - 2/9*j**5 - 8/9*j**4 - 8/9*j**2 - 2/9*j + c = 0. What is j?
-1, 0
Let v = 4 + -1. Let p(d) be the second derivative of -2*d + 0 + 0*d**2 + 0*d**v - 1/60*d**4. Factor p(o).
-o**2/5
Let x(h) be the second derivative of -3*h**5/20 + 3*h**3/2 + 3*h**2 - 3*h. Factor x(u).
-3*(u - 2)*(u + 1)**2
Let s(n) be the first derivative of 4 - 7*n**3 + 3*n + 2*n**3 - n**4 - 3*n**2 - n**2 - 3. Factor s(c).
-(c + 1)*(c + 3)*(4*c - 1)
Factor -2/11 - 6/11*k**2 + 6/11*k + 2/11*k**3.
2*(k - 1)**3/11
Let p(s) be the second derivative of -s**6/6 - s**5/2 + 5*s**3/3 + 5*s**2/2 + 12*s. Factor p(r).
-5*(r - 1)*(r + 1)**3
Let p be (-1)/2 - 216/(-112). Factor 2*y - 4/7 - p*y**2.
-2*(y - 1)*(5*y - 2)/7
Suppose 0 = s + s + w - 8, -s + 3*w = 10. Let -15*y**s + 145 + 204 - 93 + 4*y**3 + 63*y**2 + 192*y = 0. Calculate y.
-4
Let q = -2273/11 + 207. What is f in -4/11*f**2 + q + 2/11*f**3 - 2/11*f = 0?
-1, 1, 2
Let x be ((-1)/3)/(7/(-168)). Factor 2*g**4 + 4 + g**4 - x*g**2 + g**4.
4*(g - 1)**2*(g + 1)**2
Suppose -1/10*v**3 + 1/10*v + 0 - 1/10*v**2 + 1/10*v**4 = 0. Calculate v.
-1, 0, 1
Determine v so that 6*v - 2 - 9/2*v**2 + v**3 = 0.
1/2, 2
Let a = 28/5 + -26/5. Let q be (-5 + -1)/((-5)/(-1)*-1). Let 0 + 0*d + 2/5*d**5 + a*d**2 + q*d**3 + 6/5*d**4 = 0. Calculate d.
-1, 0
Suppose 3*p + 15 = 2*p + 5*x, -x = p - 15. Let r be (-2)/6 + p/3. Factor -2*t + r*t**2 - 3*t**2 + 2*t**3.
2*t*(t - 1)*(t + 1)
Let z(y) = y**2 - 4. Let h be z(-4). Suppose 3 + h = 5*u. Factor -13*l**3 + 7*l**4 - 3*l**2 - l**2 + l**u.
l**2*(l - 2)*(7*l + 2)
Let l(b) be the second derivative of -b**6/195 + 4*b**5/65 - 11*b**4/39 + 8*b**3/13 - 9*b**2/13 + 10*b. Determine s so that l(s) = 0.
1, 3
Determine x, given that 2 + 2*x**2 - 6*x**2 + 2*x**2 = 0.
-1, 1
Suppose -4*a - 17 = -k, 5*k - 10 = -a - 4*a. Let l be (-4)/a - 4/6. Let -1/3 - 1/3*c**2 + l*c = 0. What is c?
1
Let c(b) = -b**3 - 32*b**2 + 43*b + 5. Let n(z) = z**3 + 47*z**2 - 64*z - 8. Let i(f) = 8*c(f) + 5*n(f). Solve i(m) = 0 for m.
-8, 0, 1
Factor -2/7*h**2 + 1/7*h**3 + 0*h + 0.
h**2*(h - 2)/7
Let x(n) = -2*n**4 - 6*n**3 + n + 3. Let q = -23 - 3. Let p(o) = 8*o**4 + 25*o**3 - 4*o - 13. Let d(k) = q*x(k) - 6*p(k). Suppose d(a) = 0. Calculate a.
-1, 0, 1/2
Let q(n) be the first derivative of 7*n**4/18 - 20*n**3/9 + 4*n**2 - 16*n/9 - 2. Let q(s) = 0. Calculate s.
2/7, 2
Let b be (-2)/4*12/(-90). Let t(s) be the third derivative of b*s**3 - 1/30*s**4 + 0 + 1/150*s**5 + 0*s + 2*s**2. Factor t(f).
2*(f - 1)**2/5
Suppose 0*m = -3*m + 108. Let y = m + -18. Solve 2*x**3 + y*x**4 + 4 - 22*x**2 + 3*x + 4*x**3 - 9*x = 0.
-1, -2/3, 1/3, 1
Let s(u) = -u**2 - 5*u + 1. Let l(g) = -1. Let n(r) = 28*l(r) + 4*s(r). Factor n(x).
-4*(x + 2)*(x + 3)
Let b = 1/3931 - -7701/632891. Let r = 332/805 - b. Find s, given that 0*s**2 - 2/5 + r*s**4 + 4/5*s**3 - 4/5*s = 0.
-1, 1
Let z(o) be the third derivative of o**6/10 + o**5/15 - o**4/2 - 2*o**3/3 - 14*o**2. Factor z(u).
4*(u - 1)*(u + 1)*(3*u + 1)
Let m(h) be the third derivative of 0*h**3 + 4*h**2 - 1/560*h**8 - 1/200*h**6 - 1/100*h**5 + 1/60*h**4 + 0 + 0*h + 1/150*h**7. Find c, given that m(c) = 0.
-2/3, 0, 1
Determine i, given that -62*i**4 + 30*i**5 - 82*i**2 + 152*i**4 + 226*i**3 + 1 - 9 - 64*i - 192*i**5 = 0.
-1, -2/9, 1
Let c(a) = -a**2 + 10*a - 7. Let b be c(9). Factor -2*v**2 - 5*v + 3*v + b*v.
-2*v**2
Let z(b) be the third derivative of b**6/300 - 7*b**2. Let z(m) = 0. 