e second derivative of -1/30*a**6 + 0 + 0*a**2 + 2*a + 3/20*a**5 - 1/4*a**4 + h*a**3. Factor t(r).
-r*(r - 1)**3
Let l(u) be the third derivative of -u**6/300 - u**5/300 + u**4/120 + 5*u**2. Factor l(g).
-g*(g + 1)*(2*g - 1)/5
Factor 3/7*t + 9/7*t**2 + 9/7*t**3 + 0 + 3/7*t**4.
3*t*(t + 1)**3/7
Let i = -14 - -26. Suppose -c - 20 = -5*d - 0, -3*d = -i. Factor -2/9*s - 8/9*s**3 + c + 8/9*s**2.
-2*s*(2*s - 1)**2/9
Let s = 13 + -7. Let l be -23*(-2)/s + 1. Find n, given that -8*n**2 + l*n**3 + 2/3*n**5 + 8/3*n - 4*n**4 + 0 = 0.
0, 1, 2
Suppose -6*z = -9 - 3. Factor 4/9*h - 2/9*h**z + 0.
-2*h*(h - 2)/9
Let y(n) be the third derivative of n**5/270 - n**3/27 + 5*n**2. Factor y(p).
2*(p - 1)*(p + 1)/9
Let q(c) be the second derivative of 2/21*c**3 + 3*c - 1/6*c**4 + 0*c**2 + 0. Solve q(w) = 0 for w.
0, 2/7
Let u(x) be the second derivative of -20*x**5/3 + 80*x**4/9 + 38*x**3/9 + 2*x**2/3 + 39*x. Suppose u(n) = 0. What is n?
-1/10, 1
Let u = -1567 - -7839/5. Find m such that 0 + 12/5*m + 4/5*m**4 - 12/5*m**3 - u*m**2 = 0.
-1, 0, 1, 3
Suppose 4*q = -3*q. Let f(l) be the second derivative of l**2 - 1/20*l**5 + 1/30*l**6 + 5*l - 1/4*l**4 + 1/6*l**3 + q. Let f(u) = 0. Calculate u.
-1, 1, 2
Determine x, given that 15*x**2 - 4*x - 6*x**3 - 15*x**4 + 8*x + 2*x = 0.
-1, -2/5, 0, 1
Suppose -68 = -3*t - 62. Factor 4/3*x - 2/3*x**t - 2/3.
-2*(x - 1)**2/3
Suppose -9*v + 4*v = -9*v. Let w(o) = -o**2 - 7*o - 3. Let h be w(-6). Suppose -1/2*g**2 - 1/4*g**h - 1/4*g + v = 0. Calculate g.
-1, 0
Let n be (-2)/7 - (-666)/(-21). Let v be n/6*(-1)/4. Suppose -2/3 + 1/3*s**3 - v*s**2 + 5/3*s = 0. Calculate s.
1, 2
Solve 6*x**2 + 3*x - 3*x - 4*x**2 - 2 = 0.
-1, 1
Let f = -239/2 - -120. Determine z so that -f*z**3 - 2*z**2 - 5/2*z - 1 = 0.
-2, -1
Let w(r) = r**2 + 6*r + 2. Let p be w(-6). Suppose g = -p*i + 4*g + 3, 0 = -2*i - 4*g + 10. Factor 14/5*z**i + 6/5*z**4 - 4/5 - 6/5*z + 6/5*z**2.
2*(z + 1)**3*(3*z - 2)/5
Let -8/9*x**2 + 2/9*x + 0 = 0. What is x?
0, 1/4
Let w = 405 - 6071/15. Let y(p) be the second derivative of -4*p - w*p**6 + 1/21*p**7 + 0*p**2 - 2/3*p**4 + 0 + 3/5*p**5 + 1/3*p**3. Let y(b) = 0. Calculate b.
0, 1
Let j be (25/35)/((-5)/(-2)). What is p in 2/7*p**3 + 0 + 4/7*p**2 + j*p = 0?
-1, 0
Factor 3*o**2 - 8*o - 9*o**2 + 3 + 1 + 10*o**2.
4*(o - 1)**2
Let k = 10/9 - 7/9. Let w(r) be the first derivative of 0*r + k*r**3 - 1 - 1/4*r**4 + 0*r**2. Suppose w(z) = 0. Calculate z.
0, 1
Suppose 4*l = 8 - 0. Suppose 0 = -3*o + f + 1, 3*o + 17 = 5*f - l. Factor -8/3*g**3 + 0 + 4/3*g - 14/3*g**o.
-2*g*(g + 2)*(4*g - 1)/3
Determine u, given that -1/4*u**5 + 1/4*u**3 + 3/4*u**4 - 7/4*u**2 + 0*u + 1 = 0.
-1, 1, 2
Factor -2/5*f**2 - 6/5*f + 0.
-2*f*(f + 3)/5
Let x(z) be the third derivative of -z**6/120 - 2*z**5/5 - 8*z**4 - 256*z**3/3 - 21*z**2. What is h in x(h) = 0?
-8
Determine s, given that -2/3 + 0*s + 2/3*s**2 = 0.
-1, 1
Let o(n) be the first derivative of -8*n**6/3 - 4*n**5 + 3*n**4 + 20*n**3/3 + 2*n**2 + 2. Find a such that o(a) = 0.
-1, -1/4, 0, 1
Let j(r) be the first derivative of -r**5/20 + r**4/8 - r**2/4 + r/4 + 2. Suppose j(y) = 0. What is y?
-1, 1
Let i be (-6)/(-9) - 2/3. Let v = 3 + i. Let -j**3 + 7*j + 0*j**v - 6*j = 0. What is j?
-1, 0, 1
Let a be 12/54 - (38/9 + -4). Let z(g) be the second derivative of -3*g + a - 7/18*g**3 + 7/36*g**4 - 1/30*g**5 + 1/3*g**2. Determine h so that z(h) = 0.
1/2, 1, 2
Suppose 4*y + 11 = -3*w, -w - w = -4*y - 26. Let p**2 - w*p - p**2 - 3*p - 2*p**3 + 6*p**2 + 2 = 0. What is p?
1
Let y(f) be the third derivative of -f**6/660 + f**5/165 - f**4/132 - 6*f**2. Factor y(u).
-2*u*(u - 1)**2/11
Suppose 3*h = -3*m + 9, -m - 2 + 5 = -5*h. Suppose 3*k - 6 = -3*q - 0*k, h = 3*k + 3. What is d in -1/3*d**q + 0 + 2/3*d**2 - 1/3*d = 0?
0, 1
Let p(q) be the second derivative of q**5/10 + 5*q**4/6 + 4*q**3/3 - 13*q. Factor p(x).
2*x*(x + 1)*(x + 4)
Let -21/2*c**2 + 27/4 - 9/4*c + 15/4*c**4 + 3/2*c**3 + 3/4*c**5 = 0. Calculate c.
-3, -1, 1
Suppose 3*t + 5*i - 13 - 2 = 0, -i + 3 = -3*t. Determine z, given that t + 0*z**2 + 0*z**3 - 1/3*z**4 + 0*z + 1/3*z**5 = 0.
0, 1
Factor 1/2*m**2 + 0 + 1/2*m.
m*(m + 1)/2
Suppose -r - 2*r + 9 = 0, 3*r = 2*n + 1. Factor 0 + 0*t + 1/3*t**5 + 0*t**n + 0*t**3 + 0*t**2.
t**5/3
Let y = -7 + 9. Factor 2 - 3 + 3*w**y - 2.
3*(w - 1)*(w + 1)
Let n be 2/(-6) + 39/9. Let l be (-1)/2 + 6/n. Let 3*o**2 - o**2 - l - 3*o**2 - 2*o = 0. What is o?
-1
Suppose d = -0*d. Let v = 36 - 32. Solve -6/7*a**v - 2/7*a**2 + 0*a + d - 2/7*a**5 - 6/7*a**3 = 0.
-1, 0
Find n such that 0*n**2 - 6/5*n**4 + 4/5*n**3 + 2/5*n**5 + 0 + 0*n = 0.
0, 1, 2
Let v(n) = -n**3 - 6*n**2 + 7*n + 3. Let m be v(-7). Solve 4*a**4 + 3*a**3 + a + 0*a**4 - 6*a**m - 2*a**4 = 0.
-1/2, 0, 1
Factor -2/11 - 4/11*a - 2/11*a**2.
-2*(a + 1)**2/11
Factor 1/2 + 1/2*l**2 + l.
(l + 1)**2/2
Let j(w) be the first derivative of -w**3/8 - 3*w**2/4 - 9*w/8 + 14. Suppose j(n) = 0. What is n?
-3, -1
Let a(b) = -b + 10. Let o be a(7). Suppose -3*f + 5 = -y, 2*f + o*y - 5 = 2*y. Factor 2 + 2*u**3 + 5 + 6*u - 5 + 6*u**f.
2*(u + 1)**3
Let g(u) be the second derivative of 0*u**3 + u + 0*u**2 - 1/42*u**7 - 3/20*u**5 + 0 - 1/12*u**4 - 1/10*u**6. Factor g(k).
-k**2*(k + 1)**3
Let h be (-12)/(-9) - (-4)/6. Let u(m) be the first derivative of 1 + 1/4*m**h + 0*m + 1/6*m**3. Factor u(b).
b*(b + 1)/2
Suppose 0*t = -4*c - 2*t - 116, -3*t - 84 = 3*c. Let i be ((-4)/10)/(18/c). Factor 2/3*y + 40/3*y**2 - i.
2*(4*y + 1)*(5*y - 1)/3
Let r(c) be the second derivative of c**9/3528 + c**8/1176 + c**7/2940 - c**6/1260 - c**3/6 + 7*c. Let p(w) be the second derivative of r(w). Solve p(i) = 0.
-1, 0, 1/3
Factor 0*f - 2/3*f**3 + 0*f**2 - 2/3*f**5 - 4/3*f**4 + 0.
-2*f**3*(f + 1)**2/3
Let g(t) be the third derivative of -t**5/60 + 5*t**2. What is b in g(b) = 0?
0
Let x(p) be the second derivative of -p**8/7560 + p**7/11340 + p**6/810 - p**5/540 - p**4/12 + 3*p. Let s(a) be the third derivative of x(a). Factor s(r).
-2*(r - 1)*(r + 1)*(4*r - 1)/9
Let t be 4*(-3 + (-14)/(-4)). Factor -1/4 - 5/4*c**t - 1/2*c**3 - c.
-(c + 1)**2*(2*c + 1)/4
Let m(b) be the third derivative of b**5/30 - b**3/3 + 26*b**2. Suppose m(q) = 0. Calculate q.
-1, 1
Let c(a) = 2*a**3 - 2*a**2 - 2*a - 1. Let g(h) = h**3 - h**2 - 1. Let r(v) = 5*c(v) - 5*g(v). What is s in r(s) = 0?
-1, 0, 2
Let n(a) be the first derivative of a**4/18 - a**2/3 + 3*a + 2. Let u(d) be the first derivative of n(d). Find h, given that u(h) = 0.
-1, 1
Solve 1/5*q**5 + 46/5*q**3 - 11/5*q**4 + 81/5*q - 18*q**2 - 27/5 = 0 for q.
1, 3
Let f(p) be the first derivative of -p**8/560 + 3*p**7/280 - p**6/40 + p**5/40 - p**3/3 - 4. Let s(w) be the third derivative of f(w). Solve s(i) = 0 for i.
0, 1
Let l(x) be the third derivative of -x**5/60 - 5*x**4/24 - x**3 + 19*x**2. Suppose l(j) = 0. What is j?
-3, -2
Let r(q) be the first derivative of -q**8/210 - 4*q**7/525 - q**6/300 - q**2/2 + 1. Let z(p) be the second derivative of r(p). Let z(b) = 0. Calculate b.
-1/2, 0
Let s(w) = w**4 - w**3 + w. Let u(q) be the second derivative of -q**6/10 - q**5/20 + q**4 - 7*q**3/6 + 6*q. Let a(z) = s(z) - u(z). Solve a(l) = 0.
-2, 0, 1
Suppose 0 = -2*k + 1 + 5. Let f(p) = 7*p**2 + p - 2. Let z(r) = -3*r**2. Let w(b) = k*f(b) + 6*z(b). What is j in w(j) = 0?
-2, 1
Let u(b) be the first derivative of -16*b**3/3 - 18*b**2 - 8*b + 7. Let u(v) = 0. Calculate v.
-2, -1/4
Let s be (2 + -7 - -5)/1. Factor -1/4*d**3 + 1/2*d**2 + s - 1/4*d.
-d*(d - 1)**2/4
Let r(z) be the third derivative of z**8/1344 - z**7/280 - z**6/480 + z**5/80 - 33*z**2. Let r(d) = 0. What is d?
-1, 0, 1, 3
Determine u, given that 2/5*u**5 + 0*u**2 + 0 + 0*u + 0*u**3 + 0*u**4 = 0.
0
Let q = 88/3 - 29. Factor -q*p**3 - p + 1/3 + p**2.
-(p - 1)**3/3
Suppose d = -0*d + 2. Let y be 2 - 9/((-6)/d). Determine x, given that -x**2 + 3 + y*x - 4 - 3*x = 0.
1
Let y(b) be the third derivative of -b**6/60 - b**5/10 + 4*b**3/3 - 22*b**2. Find a, given that y(a) = 0.
-2, 1
Let v(f) be the second derivative of 6*f - 2/3*f**3 + 0 - 1/6*f**4 - f**2. Factor v(c).
-2*(c + 1)**2
Let o be ((-3)/4)/((-56)/(-8) + -8). Let -1/2 - o*j**2 + 5/4*j = 0. What is j?
2/3, 1
Suppose 0 = a + a - 8. Let y = -2 + a. Let 7*p**y + 0*p - 7*p**3 - 2*p + 2*p**2 = 0. Calculate p.
0, 2/7, 1
Let p be 115/40 + (-25)/(-8) + -3. Find g such that -3*g - 9/2*g**4 +