-2/7, 0
Let a be (-10)/(-6)*1/5. Factor 0 - 1/3*g + 2/3*g**2 - a*g**3.
-g*(g - 1)**2/3
Let f(l) be the third derivative of -l**8/252 + 2*l**7/315 + l**6/90 - l**5/45 - l**2. Let f(t) = 0. Calculate t.
-1, 0, 1
Let v(a) be the second derivative of 1/72*a**4 - 1/36*a**3 + 0 - 1/12*a**2 - 2*a + 1/120*a**5. Factor v(h).
(h - 1)*(h + 1)**2/6
Factor 3*b**2 - 14*b + 5*b**4 + 4*b**4 + 9*b + 8*b - 15*b**3.
3*b*(b - 1)**2*(3*b + 1)
Let c be 85/180 + 4/(-18). Factor 0 - c*r**2 + 1/4*r**3 + 0*r.
r**2*(r - 1)/4
Suppose 0 = 3*c - 8 + 2. Factor 14*m**c + 3*m - 17*m**2 + 0*m.
-3*m*(m - 1)
Factor 1/6*s**3 + 1/3*s**2 - 1/3 - 1/6*s.
(s - 1)*(s + 1)*(s + 2)/6
Let s(g) be the first derivative of -1/8*g**4 - 1/2*g**2 + 3 + 1/2*g**3 + 0*g. Factor s(o).
-o*(o - 2)*(o - 1)/2
Suppose 0 = 4*i - 4 - 0. Let w be (-1 - (1 + -3))*i. Let -1 + w - 2*v**2 + v**3 + v = 0. Calculate v.
0, 1
Let w(m) be the third derivative of -m**7/105 + m**6/30 - m**4/6 + m**3/3 - 3*m**2. Solve w(u) = 0 for u.
-1, 1
Find p, given that -12*p - 5*p**2 + 0*p**2 + 12*p**3 - 4*p**2 + 4*p**4 + 5*p**2 = 0.
-3, -1, 0, 1
Let o = -2/5 - -47/30. Suppose -o*i**4 + 1/3*i**3 - 1/3*i + 7/6*i**2 + 0 = 0. Calculate i.
-1, 0, 2/7, 1
Let z(y) = -3*y**3 - 2*y**2 + 5*y - 5. Let x(q) = -8*q**3 - 6*q**2 + 14*q - 14. Let c(s) = 5*x(s) - 14*z(s). What is d in c(d) = 0?
0, 1
Let q(v) be the third derivative of 0*v**4 + 0*v - 1/112*v**8 + 2*v**3 - v**2 - 7/20*v**5 + 0 + 1/40*v**6 + 3/70*v**7. Suppose q(u) = 0. Calculate u.
-1, 1, 2
Suppose 2*u = p - 8, -3*u = p + 2*u - 8. Suppose 6*v - 3*v + p = g, g + 3*v = 2. Factor 3*b**3 + 2*b**5 + 6*b**2 + 3*b**4 - b**5 - g*b**2.
b**2*(b + 1)**3
Solve -2*t + 2/3*t**2 + 0 = 0.
0, 3
Let 23/3*y**3 - 28/3*y - 8/3 + 22/3*y**2 - 4/3*y**5 - 5/3*y**4 = 0. What is y?
-2, -1/4, 1, 2
Let r(p) be the third derivative of p**8/56 + p**7/14 + 3*p**6/40 - p**5/20 - p**4/8 + 17*p**2. Let r(o) = 0. What is o?
-1, 0, 1/2
Let n(l) be the first derivative of 1 - 1/20*l**5 + 1/6*l**3 - 1/12*l**4 + 1/2*l**2 - 2*l. Let i(w) be the first derivative of n(w). Factor i(f).
-(f - 1)*(f + 1)**2
Let h(a) = -a**2 + 6*a - 3. Let k be h(2). Let u = k - 3. Find d, given that -56 + d**2 - 2*d**u + 57 = 0.
-1, 1
Let u(w) = w + 5. Let l be u(-2). Find s such that 4*s**l + 5*s**3 - 3*s**3 + 22*s**2 - 2*s**5 - 26*s**2 = 0.
-2, 0, 1
Let w(o) be the second derivative of -o**4/36 + o**3/9 + o**2/2 + 5*o - 6. Factor w(c).
-(c - 3)*(c + 1)/3
Suppose 0 = -s + 6*s. Let h be (0 + s)*(-2)/4. Solve 1/2*g + h + 1/2*g**2 = 0.
-1, 0
Let v be 2 - (-1 + (-18)/(-3)). Let x be v*3/9*-2. Suppose -a**2 + 2*a**2 + x*a**2 - 3*a**4 = 0. What is a?
-1, 0, 1
Let q be 0/((6 - 3) + -2). Let h be q + 2/(-2) + 1. What is g in 0 + h*g + 2/3*g**2 = 0?
0
Let m be 1*-5 + 1 + 2. Let o = 1 + m. Let n(j) = 5*j**3 + j**2 + 6*j + 6. Let t(i) = i**3 + i + 1. Let z(s) = o*n(s) + 6*t(s). Solve z(w) = 0 for w.
0, 1
Factor 0*s - 2/7*s**4 + 4/7*s**3 + 0 - 2/7*s**2.
-2*s**2*(s - 1)**2/7
Let s = 16 + -16. Let t(u) be the third derivative of 0 + 0*u**4 - u**2 + 0*u**6 - 1/840*u**8 + 0*u**3 + 0*u**7 + 0*u + s*u**5. Factor t(n).
-2*n**5/5
Let a(w) be the third derivative of -w**5/300 - w**4/120 + 8*w**2. Find k such that a(k) = 0.
-1, 0
Let h(s) be the second derivative of -s**4/18 + s**3/9 - 32*s. Factor h(p).
-2*p*(p - 1)/3
Let l(x) be the third derivative of x**5/90 + x**4/72 - 5*x**2. Suppose l(y) = 0. Calculate y.
-1/2, 0
Let t be (-4)/22 + (-540)/55. Let y be 26*1/t - -3. Factor -2/5*a**4 + 2/5*a**3 - y*a**5 + 0 + 2/5*a**2 + 0*a.
-2*a**2*(a - 1)*(a + 1)**2/5
Let j = 322/5 + -64. Suppose -j*i**3 + 0 - 6/5*i**2 - 4/5*i = 0. Calculate i.
-2, -1, 0
Let l(i) be the second derivative of 1/6*i**3 + 0*i**2 - 1/8*i**5 + 0 + 3*i + 1/24*i**4 + 1/30*i**6. Suppose l(m) = 0. What is m?
-1/2, 0, 1, 2
Suppose -5*b = -3*b + 2. Let z be 4 + b - 2/2. Factor 0*v**z + 2/3*v**4 + 0*v**3 + 0*v + 0.
2*v**4/3
Let s(r) be the third derivative of 3/20*r**5 + 3*r**2 + 0 - 1/40*r**6 + 0*r - 3/8*r**4 + 1/2*r**3. Solve s(k) = 0.
1
Let y(j) = 4*j**4 + 6*j**3 + 14*j**2 - 6. Let o(s) = 4*s**4 + 7*s**3 + 13*s**2 - 5. Let a = 9 + -15. Let h(b) = a*o(b) + 5*y(b). Factor h(l).
-4*l**2*(l + 1)*(l + 2)
Let j(u) be the third derivative of 0*u**3 + 1/80*u**5 + 0 + 0*u**4 - 1/280*u**7 + 0*u**6 - u**2 + 0*u. Factor j(o).
-3*o**2*(o - 1)*(o + 1)/4
Let d = -7 + 1. Let q(y) = -9*y**3 + 2*y**2 + 3*y - 8. Let k(g) = 1 + g**3 - 5*g**2 + 5*g**2. Let x(c) = d*k(c) - q(c). Suppose x(u) = 0. Calculate u.
-1, 2/3, 1
Let k be (8/10)/(4/10). Find w, given that -w**5 + 3 + 0*w**4 - 1 - k*w**4 + 8*w**2 + 7*w + 0*w**4 + 2*w**3 = 0.
-1, 2
Solve -401*a**4 - a**5 + 2*a**5 + 10*a**2 - a**3 + 413*a**4 + 22*a**3 = 0 for a.
-10, -1, 0
Let z(u) be the third derivative of -6*u**2 + 0*u - 1/180*u**6 + 0*u**3 + 1/315*u**7 + 0 + 0*u**4 + 0*u**5. Factor z(i).
2*i**3*(i - 1)/3
Let z be (-63)/(-30)*6/21. Find q, given that z*q + 3/5*q**2 + 1/5 + 1/5*q**3 = 0.
-1
Let n(l) be the third derivative of -l**7/3360 + l**6/1440 + l**3/6 - 7*l**2. Let s(u) be the first derivative of n(u). Determine d so that s(d) = 0.
0, 1
Let w(u) be the third derivative of -u**8/336 + u**7/70 - u**6/120 - u**5/20 + u**4/12 + 2*u**2 + 3. Factor w(j).
-j*(j - 2)*(j - 1)**2*(j + 1)
Let n(c) = 15*c - 116. Let r be n(8). Factor 1/2*a**r - 1/4*a**5 + 1/4*a + 0 - 1/2*a**2 + 0*a**3.
-a*(a - 1)**3*(a + 1)/4
Let n = 572/5 - 114. Factor 0*a**3 + 0 + n*a**5 + 0*a + 0*a**4 + 0*a**2.
2*a**5/5
Factor -2/3*o**4 + 1/6*o**5 - 2/3*o**2 + 1/6*o + 0 + o**3.
o*(o - 1)**4/6
Factor -17 - 1 + 4 - 13 - 18*k - 3*k**2.
-3*(k + 3)**2
Let v(g) be the second derivative of g**5/45 - 10*g**4/27 + 50*g**3/27 + 18*g - 2. Suppose v(b) = 0. What is b?
0, 5
Let i = 32 - 41. Let g be (-2)/i + (-50)/(-18). Factor 0*n**2 + 2/7*n**4 - 4/7*n**g + 4/7*n - 2/7.
2*(n - 1)**3*(n + 1)/7
Let p(j) be the first derivative of 7*j**4/4 + 4*j**3 - 25*j**2/2 + 6*j - 38. Determine t so that p(t) = 0.
-3, 2/7, 1
Let u(r) = -r**3 + 2*r**2 + 5*r - 4. Let h be u(3). Let y = h + -2. Find m, given that y + 2/3*m**2 + 2/3*m = 0.
-1, 0
Let l(a) be the first derivative of 4*a**3/3 - 4*a**2 + 4*a - 5. Factor l(q).
4*(q - 1)**2
Determine v so that 4/5*v - 2/5 - 2/5*v**2 = 0.
1
Factor -3/4*f**4 + 0*f**3 + 9/4*f**2 + 0 - 3/2*f.
-3*f*(f - 1)**2*(f + 2)/4
Factor 6 - 2 + 3 - b**2 - 6*b + 0.
-(b - 1)*(b + 7)
Let o = 164 - 160. Determine t, given that 2/5*t + 1/5 - 1/5*t**o + 0*t**2 - 2/5*t**3 = 0.
-1, 1
Let o(z) be the second derivative of -z**3/6 + 19*z**2/2 - z. Let j be o(18). Determine f so that 11/2*f - 8*f**4 + 7*f**2 - 7/2*f**5 - 2*f**3 + j = 0.
-1, -2/7, 1
Let y = -80 - -82. Let j = 80/53 + -1/106. What is o in -3/2*o**y - 1/2 + 1/2*o**3 + j*o = 0?
1
Suppose w - 7 = -2*a, -2*a + w - 4 = -3*a. Let a*b**3 + 6*b**2 - b**3 + 1 + 0*b**3 - 9 = 0. What is b?
-2, 1
Let y(s) be the first derivative of 5 + 0*s**2 + 1/3*s**6 + 0*s + 0*s**3 - 1/2*s**4 + 0*s**5. Find p, given that y(p) = 0.
-1, 0, 1
Suppose 5*c = 2*c - 4*j + 306, c - 3*j = 89. Factor 64*k**2 - k + 154*k**3 + k + c*k**4 + 8*k.
2*k*(k + 1)*(7*k + 2)**2
Let j(o) be the third derivative of o**6/160 + o**5/80 - o**4/32 + o**3/6 + 6*o**2. Let k(y) be the first derivative of j(y). Factor k(l).
3*(l + 1)*(3*l - 1)/4
Let y(u) = 44*u**3 + 20*u**2 + 2*u - 6. Let l(i) = -45*i**3 - 20*i**2 - 2*i + 5. Let x(w) = -6*l(w) - 5*y(w). Factor x(k).
2*k*(5*k + 1)**2
Suppose 0 = -3*m - 3*t + 18, 6*m - m + 6 = 4*t. Let u(x) be the first derivative of 27/5*x + 3/5*x**3 + 27/10*x**m + 1/20*x**4 - 4. Solve u(w) = 0.
-3
Let d(o) = -o**2 - 6*o + 8. Let j be d(-7). Let q = 4 - j. Let i**2 + i**3 - 3 + q = 0. Calculate i.
-1, 0
Suppose 5*m = -3*h - h - 4, 2*m - 2*h = -16. Let x be (-10)/m - (0 + 1). Suppose -1/2 + x*g - 3/2*g**2 + 1/2*g**3 = 0. What is g?
1
Let l = -70 + 73. Let d(q) be the first derivative of 7/10*q**4 + 3/5*q**2 + 4 + 4/5*q - 8/5*q**l. Suppose d(w) = 0. Calculate w.
-2/7, 1
Let q be 3/5 + (-9)/45. Let z(y) be the first derivative of 1/4*y**2 - y + 2 + y**3 - 1/2*y**4 - q*y**5 + 1/4*y**6. Factor z(v).
(v - 1)**3*(v + 1)*(3*v + 2)/2
Let q(f) be the third derivative of -f**5/48 + f**4/24 + f**3/24 - 3*f**2 - 7*f. Let q(i) = 0. What is i?
-1/5, 1
Solve -4*d + 2*d**3 + 13*d**3 + 8*d**4 + 3*d**2 + d + d**4 = 0 for d.
-1, 0, 1/3
Let d(s) be the first derivative of s**7/210 - s**5/50