w - w + 3*w.
-(w - 1)*(w + 1)**3
What is b in -1/3*b**4 + 1/3*b**2 + 0 - 1/3*b + 1/3*b**3 = 0?
-1, 0, 1
Let l = 301/6 + -50. Let r(i) be the second derivative of 1/5*i**6 + 4*i - 2/3*i**3 + 0 - l*i**4 + 0*i**2 + 2/5*i**5. Factor r(u).
2*u*(u + 1)**2*(3*u - 2)
Let l = 133 - 130. Factor 640/3 + 5*m**4 + 190/3*m**l + 280*m**2 + 480*m.
5*(m + 4)**3*(3*m + 2)/3
Let b(p) = 8*p**3 - 35*p**2 + 16*p + 11. Let d(c) = 4*c**3 - 18*c**2 + 8*c + 6. Let s(r) = -6*b(r) + 11*d(r). Factor s(i).
-4*i*(i - 2)*(i - 1)
Let o = -810 - -815. What is p in -4/9*p**2 + 4/9 - 8/9*p**3 + 0*p**4 + 2/9*p**o + 2/3*p = 0?
-1, 1, 2
Let x be 2/(-2)*(-5 + -1 + 3). Suppose -1/3 + 1/6*d**x - 2/3*d**2 + 5/6*d = 0. Calculate d.
1, 2
Let z(u) be the first derivative of -1/2*u**2 - 1 - u**3 + 0*u - 1/5*u**5 - 3/4*u**4. Factor z(j).
-j*(j + 1)**3
Suppose -2*b - 6 = -f, -5*f + 2*f - 2*b + 2 = 0. Factor -8/5*v - 2/5 - f*v**2 - 4/5*v**3.
-2*(v + 1)**2*(2*v + 1)/5
Let v(f) be the second derivative of 0 + 1/2*f**3 + 1/150*f**5 + 0*f**2 + 3*f - 1/900*f**6 - 1/60*f**4. Let p(n) be the second derivative of v(n). Factor p(k).
-2*(k - 1)**2/5
Let v(t) be the third derivative of 9/160*t**6 + 3/20*t**5 + 0 + 0*t + 0*t**3 - 3*t**2 + 1/8*t**4. Factor v(j).
3*j*(3*j + 2)**2/4
Suppose 2*k = 2*a - 10, -3*a - 2*k = -a + 2. Let g(t) be the first derivative of -t**2 - 6*t**3 + 2 + 4*t + 13/2*t**4 - a*t**5. Factor g(m).
-2*(m - 1)**3*(5*m + 2)
Let w(t) be the first derivative of -t**7/189 + t**6/135 + t**5/90 - t**4/54 - 4*t - 1. Let u(i) be the first derivative of w(i). Find p, given that u(p) = 0.
-1, 0, 1
Factor 118*p**2 - 50*p**2 - 4*p**3 - 8*p - 56*p**2.
-4*p*(p - 2)*(p - 1)
Solve 0 - 2/9*o**3 - 4/9*o**2 - 2/9*o = 0 for o.
-1, 0
Let z = -6 - -8. Suppose -5*y - z*v + 26 = 0, -4*v + 0 + 12 = 0. Factor -1/2*r**5 + 0*r**2 + 0*r + r**y - 1/2*r**3 + 0.
-r**3*(r - 1)**2/2
Let u be (-15)/(-6) + (-5)/10. Let 42*g**2 - 30*g**u - 14*g**3 - 48*g + 39*g**2 + 12 - g**3 = 0. Calculate g.
2/5, 1, 2
Suppose 10 = -0*m + 5*m. Suppose -i + 2 + m = 0. Factor 0*l**4 + 14*l + 10*l**3 + 18*l**2 + 5*l**4 - 3*l**4 + i.
2*(l + 1)**3*(l + 2)
Let n be (-150)/(-54) + (8/(-18))/(-2). Let r(l) be the first derivative of l**2 + 0*l - 2 + 1/3*l**n. Solve r(i) = 0.
-2, 0
Let k(p) = -3*p**3 + 23*p**2 - 24*p + 12. Let r(f) = f**3 - 8*f**2 + 8*f - 4. Let l(v) = 3*k(v) + 8*r(v). Solve l(s) = 0.
1, 2
Suppose -1/2*r**5 - 3/2*r**2 + 0 - 1/3*r - 5/2*r**3 - 11/6*r**4 = 0. Calculate r.
-1, -2/3, 0
Suppose 2*t + 5*z = -5, -4*t - z - z = -30. Let i be 5/(t/12) - 2. Find b such that b**4 - i*b**3 + 0*b**3 - b + 4*b**2 + b = 0.
0, 2
Let h(m) be the second derivative of m**6/10 + 3*m**5/5 + m**4 - 13*m. Solve h(g) = 0 for g.
-2, 0
Let g = 9 + -7. Suppose 4*y**2 + 3*y**3 - 12*y - 9*y**3 - 4 - 17*y**g - y**4 = 0. What is y?
-2, -1
Let a(d) be the first derivative of 5 + 1/18*d**4 - 1/9*d**2 + 0*d**3 + 0*d. Solve a(o) = 0 for o.
-1, 0, 1
Let -3/2 + 0*b + 3/2*b**2 = 0. What is b?
-1, 1
Let s(j) be the second derivative of j**6/120 + j**5/40 + j**4/48 + 10*j. Factor s(y).
y**2*(y + 1)**2/4
Let i be ((-51)/(-44))/(6/144). Let z = 1706/55 - i. Suppose 14/5*o + 6/5*o**3 - 4/5 - z*o**2 = 0. Calculate o.
2/3, 1
Factor 2*h**2 + 2/3*h**3 + 2*h + 2/3.
2*(h + 1)**3/3
Suppose 36 = d + 43. Let x be (1 - 1)/(d - -8). Find u, given that 0*u - 1/5*u**3 + x + 1/5*u**4 + 0*u**2 = 0.
0, 1
Let a(d) be the first derivative of -3*d**4/4 + d**3 + 20. Solve a(n) = 0 for n.
0, 1
Let o(b) be the second derivative of -b**4/60 - b**3/10 - 7*b. Find y, given that o(y) = 0.
-3, 0
Let i(c) = -2 + 14*c**2 + 6*c - c - 11*c. Let b(j) = 3*j + 6. Let p be b(-4). Let r(w) = -13*w**2 + 6*w + 2. Let s(k) = p*r(k) - 5*i(k). Factor s(x).
2*(x - 1)*(4*x + 1)
Factor -5*g**3 - 4*g**4 + 15*g**3 - 8*g**2 + 2*g**3.
-4*g**2*(g - 2)*(g - 1)
Let s = 6 + -4. Solve -24*n**s - 3*n**4 - 8*n**3 - 14*n + 2*n**4 - 16 - 15*n - 3*n = 0.
-2
Factor -2/3*l**4 + 2/3*l**2 - 4/3*l + 4/3*l**3 + 0.
-2*l*(l - 2)*(l - 1)*(l + 1)/3
Let f(t) = -t**3 - t. Let q(d) = -d**3 - d**2 - d. Suppose -4*c = -20, 0 = 4*v + c - 0*c + 7. Let w(i) = v*f(i) + 2*q(i). Suppose w(b) = 0. Calculate b.
0, 1
Let c(n) be the second derivative of 3*n**6/40 + 29*n**5/80 - n**4/16 - 29*n**3/24 - 3*n**2/4 - n - 11. Find x such that c(x) = 0.
-3, -1, -2/9, 1
Let n(q) be the third derivative of -q**8/2240 - q**7/420 - q**6/240 + q**4/12 - q**2. Let v(i) be the second derivative of n(i). Find r such that v(r) = 0.
-1, 0
Let l = -46 + 49. Let z(g) be the second derivative of -3*g + 0 - 1/9*g**l + 1/30*g**5 - 1/3*g**2 + 1/18*g**4. Let z(k) = 0. What is k?
-1, 1
Suppose 0 = -2*b - 3*b + 15. Factor 3*l**3 - l**3 - l**2 - 2*l**b + l**3.
l**2*(l - 1)
Let d(q) be the first derivative of -3/4*q**2 - 7 + 1/6*q**3 + 0*q. Factor d(u).
u*(u - 3)/2
Let t(b) = 7*b + 10. Let p(g) = g + 1. Let o(h) = 2*p(h) - t(h). Let q be o(-6). Suppose -8/3*f**4 - 8/3 + 40/3*f**3 - q*f**2 + 40/3*f = 0. What is f?
1/2, 2
Let d(n) be the second derivative of n**7/105 + 2*n**6/75 - n**5/25 - 2*n**4/15 + n**3/15 + 2*n**2/5 - 6*n. Let d(k) = 0. What is k?
-2, -1, 1
Let z(q) be the third derivative of q**8/112 + 3*q**7/70 - q**5/5 + 6*q**2. Find d such that z(d) = 0.
-2, 0, 1
Let u = -651 - -16277/25. Let q(i) be the first derivative of 1/20*i**4 + 0*i**3 + 1/30*i**6 + 0*i**2 + u*i**5 + 0*i - 1. Factor q(h).
h**3*(h + 1)**2/5
Find i such that 0*i + 0 + 12/5*i**4 + 8/5*i**3 + 4/5*i**5 + 0*i**2 = 0.
-2, -1, 0
Suppose g**4 + 3*g**4 + g - 5*g**2 + 8 + 4*g**3 - 7*g**2 - 5*g = 0. Calculate g.
-2, -1, 1
Let i = -7 - -4. Let u(t) = -18*t**2 - 14*t + 1. Let p(f) = 18*f**2 + 14*f - 2. Let g(n) = i*p(n) - 2*u(n). Factor g(k).
-2*(k + 1)*(9*k - 2)
Let c(v) = v**2 - 3*v + 2. Let h be c(3). What is o in -o**h - 6*o - 5 + 0*o**2 - 4 + 0 = 0?
-3
Let d(p) = -6*p**2 + 13*p + 11. Let n(w) = -5*w**2 + 12*w + 10. Let b(m) = 4*d(m) - 5*n(m). Let k be b(9). Factor 0 + 1/2*i**k + 0*i**2 - 1/2*i.
i*(i - 1)*(i + 1)/2
Suppose k - 2*i = 23, i - 5*i + 59 = 3*k. Factor 75*f - 81*f**2 - k*f**4 - 6 - 36*f + 55*f**3 + 14*f**3.
-3*(f - 1)**3*(7*f - 2)
Find c, given that 1/4 - 1/2*c + 1/4*c**2 = 0.
1
Let v(k) be the third derivative of -k**7/525 + k**6/75 - k**5/75 - k**4/15 + k**3/5 - 6*k**2. Suppose v(p) = 0. Calculate p.
-1, 1, 3
Factor -14/3*o**4 - 38/3*o**3 - 2/3*o**5 - 8/3 - 32/3*o - 50/3*o**2.
-2*(o + 1)**3*(o + 2)**2/3
Suppose 2*p = 3 - 9, 4*k - 2*p + 30 = 0. Let b = 13 + k. Factor -v**5 + 3*v**5 - 2*v**3 - 4*v**4 - 2*v**2 + 6*v**b.
2*v**2*(v - 1)*(v + 1)**2
Let l(d) be the first derivative of -3*d**4/4 - 13*d**3 - 72*d**2 - 108*d + 1. Suppose l(t) = 0. Calculate t.
-6, -1
Let b(y) be the second derivative of -y**5/180 - y**4/36 - y**3/18 + 3*y**2/2 + 2*y. Let u(d) be the first derivative of b(d). Factor u(k).
-(k + 1)**2/3
Solve -48 + 22 - 6*s + 2*s**3 + 30 + 0*s**3 = 0 for s.
-2, 1
Let t(g) be the second derivative of g**6/150 + g**5/25 + g**4/12 + g**3/15 + 6*g. Determine j so that t(j) = 0.
-2, -1, 0
Factor -3/2*s - 3/4 - 3/4*s**2.
-3*(s + 1)**2/4
Let a = -29 + 32. Let y(o) be the first derivative of -o**a - o**4 + 4*o + 3 + 2*o**2 - 1/5*o**5. Let y(u) = 0. Calculate u.
-2, -1, 1
Factor -20/3 + 20/3*x - 5/3*x**2.
-5*(x - 2)**2/3
Let i(h) be the third derivative of -h**7/7560 + h**6/360 - h**5/40 - h**4/24 + 4*h**2. Let k(f) be the second derivative of i(f). Factor k(j).
-(j - 3)**2/3
Let s(f) be the second derivative of f**7/42 - 4*f**6/75 + f**5/100 + f**4/30 - 39*f. Suppose s(t) = 0. Calculate t.
-2/5, 0, 1
Let k(j) be the first derivative of j**3 - 9*j**2/2 + 27*j/4 - 7. Factor k(s).
3*(2*s - 3)**2/4
Suppose b = -0*b + 4. Solve -12*q**5 + 2*q + 9*q**3 + 12*q**b - 7*q - 6*q**2 + 2*q = 0.
-1/2, 0, 1
Solve -5*f**3 - 145*f - 9 - 7 - 80*f**2 + 5 - 59 = 0.
-14, -1
Let y(v) be the third derivative of 0*v**4 + 0*v + 1/336*v**8 + 0*v**3 + v**2 + 0*v**5 - 1/210*v**7 + 0*v**6 + 0. Suppose y(n) = 0. What is n?
0, 1
Let r(a) be the third derivative of -a**8/26880 + a**4/12 + 3*a**2. Let k(b) be the second derivative of r(b). Factor k(u).
-u**3/4
Let y(n) = 5 - 3 - n + 5*n**2 - n + 2. Let v(x) = 4*x**2 - 2*x + 3. Let a(i) = 4*v(i) - 3*y(i). Let a(p) = 0. Calculate p.
0, 2
Solve -10*z - 3*z**2 + 5*z + 2*z**2 - 2 - 4 = 0.
-3, -2
Let t = 2 - 2. Let f = 0 - t. Suppose 1/2*h**4 + 0*h**3 + 1/4*h**5 + f - 1/2*h**2 - 1/4*h