1, 0, 1
Suppose -4 = 3*z + 2. Let q be (-3)/z + 1/2. Suppose -1/2*f**q - 2*f - 2 = 0. What is f?
-2
Let w(x) be the third derivative of -x**5/330 - 7*x**4/132 - 2*x**3/11 + 7*x**2. Determine y, given that w(y) = 0.
-6, -1
Let r(c) be the second derivative of c**4/15 - 14*c**3/15 + 12*c**2/5 - 12*c. Factor r(w).
4*(w - 6)*(w - 1)/5
Let l = 26/3 - 76/9. Find v, given that -l*v**2 - 2/9*v + 0 = 0.
-1, 0
Suppose -4*h = -102 + 94. Factor -2/3*v**3 - 1/3 + 1/3*v**h + 2/3*v.
-(v - 1)*(v + 1)*(2*v - 1)/3
Let x = 1 + 2. Determine d, given that -12*d - 7*d**3 + 1 - 6*d**3 + 2 + 15*d**2 + 7*d**x = 0.
1/2, 1
Solve 2*i**4 + 4*i**4 - 2*i**4 + i**3 + 3*i**3 = 0 for i.
-1, 0
Factor 1/3*q + 0 - 1/6*q**2.
-q*(q - 2)/6
Let y(o) be the third derivative of 0 + 0*o**3 + 0*o + 1/20*o**5 - o**2 + 0*o**4. Factor y(n).
3*n**2
Let n(y) be the first derivative of -y**5/30 - y**4/18 + 5*y - 3. Let f(b) be the first derivative of n(b). Factor f(u).
-2*u**2*(u + 1)/3
Let j be 3 + 4 + (-5 - -3). Suppose k + 2 = 3*o + j, -5*k = -5*o - 5. Find h, given that -2/7*h**2 + 0*h - 2/7*h**3 + k = 0.
-1, 0
Suppose 12 = -21*c + 24*c. Suppose 2*j**4 - 2*j - 6*j**4 + 2*j + c*j**2 = 0. Calculate j.
-1, 0, 1
Let l(g) = -2*g**3 - g**2. Let k(i) = i**3. Let y be (-6)/(-9) + 4/3. Let m(b) = y*l(b) + 6*k(b). Factor m(r).
2*r**2*(r - 1)
Let n = -6 - -10. Factor g**3 - 4 - 3*g**3 + 10*g - 6*g**2 + 0*g**4 + 2*g**n.
2*(g - 1)**3*(g + 2)
Let q be ((-2)/(-80))/(21/28*3). Let r(u) be the third derivative of 4/9*u**3 + 0*u + q*u**5 + 1/9*u**4 + 0 - 4*u**2. Factor r(l).
2*(l + 2)**2/3
Let w be ((-8)/(-10))/(18/45). Let b(q) be the second derivative of w*q + 1/90*q**5 + 0*q**3 + 0 + 0*q**2 - 1/54*q**4. Factor b(k).
2*k**2*(k - 1)/9
Let a be (-1)/((6/(-2))/12). Suppose a*q - q**4 - 2*q - q**3 + q**2 - q + 0*q = 0. What is q?
-1, 0, 1
Find u such that 3*u**3 - 14*u**2 - 3*u**3 + 30*u**3 + 6*u + 4 - 8*u**4 - 18*u**2 = 0.
-1/4, 1, 2
Let b be 12/10*(-5)/(-2). Let x = b + 1. Let x*w**2 - 4*w + 9*w**2 + w**2 = 0. What is w?
0, 2/7
Let m(c) be the first derivative of -c**8/240 - c**7/70 - c**6/120 + c**5/60 + 2*c**3/3 + 2. Let r(k) be the third derivative of m(k). Factor r(o).
-o*(o + 1)**2*(7*o - 2)
Let t be ((-4)/6)/(2/(-6)). Suppose 18*g = 17 + 37. Factor 0*r**g + 4*r**2 + t*r**3 - 6*r + 8*r.
2*r*(r + 1)**2
Let t(l) be the third derivative of l**5/420 - l**4/84 - l**3/14 + 4*l**2. Find g, given that t(g) = 0.
-1, 3
Suppose 0 = -4*x - 5*k + 18, -4*x + 36 = -4*k - 0*k. Suppose x = 2*i - 3*o, 4 = -2*o + 2. Factor 6/7*d + 4/7 + 2/7*d**i.
2*(d + 1)*(d + 2)/7
Let q(k) = -k**3 - 3*k**2 - 2*k + 1. Let x be q(-3). Factor 5*g - 1 + g**2 - g**3 - x*g + 3*g.
-(g - 1)**2*(g + 1)
Let a(j) = j**3 + 2*j**2 - 8*j. Let x be a(-4). Let t(d) be the second derivative of -1/18*d**3 - 1/3*d**2 + 1/36*d**4 + x - 2*d. Factor t(n).
(n - 2)*(n + 1)/3
Let p(h) = -h**2 + 4*h - 3. Let n(f) be the second derivative of -f**4/2 + 25*f**3/6 - 19*f**2/2 - 3*f. Let y(l) = 6*n(l) - 39*p(l). Factor y(m).
3*(m - 1)**2
Let u(f) = 11*f**2 - 8*f. Let d(a) = 10*a**2 - 9*a - 1. Let v(w) = -4*d(w) + 3*u(w). Solve v(h) = 0 for h.
-2/7, 2
Let f(i) be the third derivative of 2*i**7/105 + i**6/20 - i**5/15 + 3*i**2. Factor f(s).
2*s**2*(s + 2)*(2*s - 1)
Let p(b) be the second derivative of b**6/180 - b**5/90 + b**2/2 - 5*b. Let w(u) be the first derivative of p(u). Factor w(m).
2*m**2*(m - 1)/3
Factor 8*t - 28*t**3 + 8*t**2 - 7*t + 16*t**4 + 3*t.
4*t*(t - 1)**2*(4*t + 1)
Let h = -3 + -2. Let z be 39/65 - 7/h. Factor 14/5*p**3 - 2*p**z + 0 - 4/5*p.
2*p*(p - 1)*(7*p + 2)/5
Let d(x) = x**2 + 12*x + 8. Let r be d(-11). Let b be 32/14 - (r - -5). Factor b*c + 0*c**2 - 2/7*c**3 + 0.
-2*c*(c - 1)*(c + 1)/7
Factor -2/5*l**2 - 98/5 - 28/5*l.
-2*(l + 7)**2/5
Solve 8/5*o**4 - 4/5*o**3 + 0*o - 4/5*o**2 + 0 = 0 for o.
-1/2, 0, 1
Let x = -43 + 45. Let 2/3*v + v**x + 0 = 0. Calculate v.
-2/3, 0
Let z(c) be the second derivative of -8*c - 5/4*c**4 - 3/10*c**6 + 0*c**2 + 0 - 1/2*c**3 - 21/20*c**5. Find f, given that z(f) = 0.
-1, -1/3, 0
Let t(i) be the third derivative of -i**7/1155 - i**6/132 - 7*i**5/330 - i**4/44 + 6*i**2. Let t(z) = 0. Calculate z.
-3, -1, 0
Let o be (44/10 + -5)*-2 + 0. Solve -4/5 + 6/5*j**3 + 2/5*j**2 + 2/5*j**4 - o*j = 0.
-2, -1, 1
Let r = -7 - -1. Let g = -4 - r. Factor -5*h**3 - h**4 - g*h**4 + h - h**2 + 4*h**2 + 4*h**5.
h*(h - 1)**2*(h + 1)*(4*h + 1)
Let h(l) be the first derivative of 12*l**5/5 - 3*l**4 - 3*l**3 + 3*l**2 + 3*l - 4. Factor h(x).
3*(x - 1)**2*(2*x + 1)**2
Let j = 124/5 - 1066/45. Determine f so that -j*f**2 - 14/9*f**3 + 4/9*f + 0 = 0.
-1, 0, 2/7
Let k = 1487/330 + -1/165. Factor -2 + k*j**3 + 8*j - 21/2*j**2.
(j - 1)*(3*j - 2)**2/2
Let j = -7 - -13. Suppose 5*w + 6*w**2 - j*w - 5*w**2 = 0. What is w?
0, 1
Let i(o) be the second derivative of -o**6/30 - o**5/20 + o**4/12 + o**3/6 + 23*o. Factor i(k).
-k*(k - 1)*(k + 1)**2
Let w = -4 + -1. Let y(z) = -4*z**2 + 2*z + 3. Let l(k) = -7*k**2 + 4*k + 5. Let v(f) = w*y(f) + 3*l(f). Suppose v(o) = 0. Calculate o.
0, 2
Let g(h) = -h**4 + h**3 + h**2 - 1. Let c = -4 + -8. Let u(q) = -15*q**4 + 15*q**3 + 15*q**2 - 3*q - 12. Let k(m) = c*g(m) + u(m). Factor k(a).
-3*a*(a - 1)**2*(a + 1)
Let y(r) be the third derivative of -2*r**7/105 + r**6/10 - r**5/15 - r**4/2 + 4*r**3/3 + 22*r**2. Factor y(n).
-4*(n - 2)*(n - 1)**2*(n + 1)
Suppose 3*l + 36 = 3*x + 2*x, -4 = x + 5*l. Find b such that 32*b - 3 + 5 - 112*b**3 + 62 - 96*b**2 - x*b**5 - 44*b**4 = 0.
-2, 2/3
Let b(p) = -p + 2. Let r be b(7). Let q(d) = -d**3 - 6*d**2 - 4*d + 7. Let c be q(r). Factor 2/3 + x**3 - 2/3*x**c - x.
(x - 1)*(x + 1)*(3*x - 2)/3
Let t(q) be the first derivative of 5*q**3/12 - 5*q**2/2 + 5*q - 6. Factor t(z).
5*(z - 2)**2/4
Suppose 5*t - 4 = 16. Let g = 15 - 12. Factor -t - 4*h**2 + 5 + 0 - g*h.
-(h + 1)*(4*h - 1)
Factor 0 + 9/5*h**2 + 3/5*h**3 + 6/5*h.
3*h*(h + 1)*(h + 2)/5
Let k(j) be the second derivative of 0 - 1/14*j**4 + 4/21*j**3 + 3*j - 1/7*j**2. Factor k(a).
-2*(a - 1)*(3*a - 1)/7
Let p(y) be the first derivative of -243*y**6/8 + 81*y**5/10 + 423*y**4/16 + 11*y**3 + 3*y**2/2 - 5. Suppose p(f) = 0. Calculate f.
-1/3, -2/9, 0, 1
Factor 9*k + 26*k**3 - 9*k + 4*k**3 + 4*k**2.
2*k**2*(15*k + 2)
Let p(k) = -3*k**3 - 11*k**2 - 2*k + 12. Let z(b) = -3*b**3 - 12*b**2 - 3*b + 12. Let h(w) = 3*p(w) - 2*z(w). Factor h(c).
-3*(c - 1)*(c + 2)**2
Factor 3/2*z**2 + 1/2 - 1/2*z**3 - 3/2*z.
-(z - 1)**3/2
Let h(s) be the first derivative of 2*s**6/3 - 4*s**5/5 - 2*s**4 + 8*s**3/3 + 2*s**2 - 4*s - 21. Factor h(g).
4*(g - 1)**3*(g + 1)**2
Suppose -3*t - 5*c + 270 = 2*t, 3*t - 4*c - 148 = 0. Let f be (t/(-12) - -3)*-3. Factor -8/5*w - 54/5*w**3 + 27/5*w**f + 36/5*w**2 + 0.
w*(3*w - 2)**3/5
Let f(p) be the second derivative of -2*p**7/21 - 4*p**6/45 + 2*p**5/5 + 4*p**4/9 - 2*p**3/3 - 4*p**2/3 + 25*p. What is x in f(x) = 0?
-1, -2/3, 1
Let t = -1/69 + 8/23. Factor -1/3*b**4 - t + 4/3*b - 2*b**2 + 4/3*b**3.
-(b - 1)**4/3
Let l(a) be the first derivative of 3/14*a**4 + 1 + 3/2*a**2 + a**3 + 6/7*a. Determine g, given that l(g) = 0.
-2, -1, -1/2
Let w(n) be the second derivative of -1/2*n**2 + 0 + 1/80*n**5 + 0*n**3 + 2*n + 1/16*n**4. Find d such that w(d) = 0.
-2, 1
Let w(j) be the first derivative of -1 + 1/90*j**5 + 1/2*j**2 - 1/72*j**4 + 0*j + 0*j**3. Let y(u) be the second derivative of w(u). Factor y(b).
b*(2*b - 1)/3
Let h(f) be the first derivative of 4*f**5/25 - 3*f**4/10 - 8*f**3/15 + 3*f**2/5 + 4*f/5 + 6. What is r in h(r) = 0?
-1, -1/2, 1, 2
Let k be 1/2*2/3. Factor k*q + 2/3 - 1/3*q**2.
-(q - 2)*(q + 1)/3
Let f(d) = 6*d**2 + 7*d + 6. Let k(z) = -z**2 - z - 1. Let c(t) = 4*f(t) + 20*k(t). Factor c(v).
4*(v + 1)**2
Let r(j) be the third derivative of -4*j**2 + 0*j + 1/12*j**4 - 1/105*j**7 + 0 + 1/10*j**5 - 1/60*j**6 - 2/3*j**3. Factor r(w).
-2*(w - 1)**2*(w + 1)*(w + 2)
Let m(h) be the second derivative of h**4/8 + 3*h**3/4 + 3*h**2/2 - 8*h. Factor m(x).
3*(x + 1)*(x + 2)/2
Let g(t) = 2*t - 2. Let s(c) be the second derivative of 5/6*c**3 + 0 - 2*c**2 - 1/12*c**4 - 2*c. Let j(b) = 5*g(b) - 2*s(b). Let j(r) = 0. What is r?
-1, 1
Let o(h) be the third derivative of h**7/420 + h**6/192 + h**5/480 + 11*h**2. Factor o(l).
l**2*(l + 1)*(4*l + 1)/8
Let s(b) be the second derivative of -b**4/114 - b**3/57 + 6*b**2/19 + 34*b. Let s