*2 - 1 - 11/6*l + 1/6*l**3 = 0.
-1, 6
Suppose 3/2*q**4 - 1/2*q + 5/2*q**2 - 7/2*q**3 + 0 = 0. Calculate q.
0, 1/3, 1
Let k be 563/(-10) - (-4)/(-8). Let p = 57 + k. Factor 3/5*n**2 - 4/5*n + p.
(n - 1)*(3*n - 1)/5
Suppose -2*f - 1 = f - 4*m, -5*f + 33 = 2*m. Suppose -6*z - f + 29 = 0. Factor -2/3*c**3 + 0 + 1/3*c**2 + 0*c - c**z.
-c**2*(c + 1)*(3*c - 1)/3
Let k(d) be the third derivative of -d**9/1512 + d**7/210 - d**5/60 + 5*d**3/6 + d**2. Let p(g) be the first derivative of k(g). Factor p(i).
-2*i*(i - 1)**2*(i + 1)**2
Suppose 3 + 5 = 4*z, 0 = 2*i - 3*z - 2. Suppose -i*o + 8 = -0. Let 0*r - 2*r**3 + 0 - 1/2*r**o = 0. Calculate r.
-1/4, 0
Let k = 6 - 2. Factor -2 - k*x + 6 - 2*x**2 + x + x.
-2*(x - 1)*(x + 2)
Let v(z) = -z**3 - 3*z**2 + 3*z + 8. Let p(k) = k**3 - k**2 + k + 1. Let o(s) = -p(s) + v(s). Let l(b) be the first derivative of o(b). Factor l(a).
-2*(a + 1)*(3*a - 1)
Let q = 9 - 3. Let l(o) be the third derivative of 1/360*o**q + 0 + 0*o**3 + o**2 - 1/630*o**7 + 0*o**5 + 0*o + 0*o**4. Factor l(k).
-k**3*(k - 1)/3
Let z be -1 + (-6)/(-6) - 20/(-25). Factor 6/5*d + z + 2/5*d**2.
2*(d + 1)*(d + 2)/5
Let o(t) be the second derivative of t**7/3780 + t**6/540 - t**4/27 - 2*t**3/3 - 3*t. Let x(k) be the second derivative of o(k). Suppose x(u) = 0. Calculate u.
-2, 1
Suppose l = 5 + 107. Let n be 1/2 - (-8)/l. Factor 1/7*v**2 - 4/7*v + n.
(v - 2)**2/7
Factor -3/2 + k + 1/2*k**2.
(k - 1)*(k + 3)/2
Let j = 1 + 2. Factor 4 - 5*w - w**5 - w**4 + j*w**3 + w**2 - 3*w + 2*w**3.
-(w - 1)**3*(w + 2)**2
Let k(h) be the second derivative of -h**7/18 - h**6/18 + h**5/30 + 4*h. Factor k(t).
-t**3*(t + 1)*(7*t - 2)/3
Let x = 131/581 + 5/83. Factor x*k**3 - 6/7*k**2 + 2/7*k**4 - 2/7*k + 4/7.
2*(k - 1)**2*(k + 1)*(k + 2)/7
Let r(j) be the third derivative of -j**7/315 - j**6/90 + j**4/18 + j**3/9 + 5*j**2. Let r(t) = 0. What is t?
-1, 1
Let n(m) be the third derivative of -m**9/181440 + m**8/30240 - m**7/15120 + m**5/20 - 3*m**2. Let x(q) be the third derivative of n(q). Factor x(z).
-z*(z - 1)**2/3
Let k(u) be the third derivative of 0*u**3 + 1/480*u**5 - 4*u**2 + 0 + 0*u**4 + 0*u. Factor k(i).
i**2/8
Let w = -55 + 167/3. Let d be (-28)/(-6) + (-8)/12. Solve -1/3*x**5 + w*x**3 + 2/3*x**2 - 1/3*x - 1/3 - 1/3*x**d = 0 for x.
-1, 1
Let u(r) = r**2 - 1. Let c be ((-6)/(-4))/((-2)/8). Let t(h) = 10*h**2 - 4*h - 6. Let m(a) = c*u(a) + t(a). Factor m(z).
4*z*(z - 1)
Let z = 14/19 - 37/76. Let p(k) be the first derivative of z*k**4 + 0*k + 2/15*k**5 + 0*k**2 - 4 + 1/9*k**3. What is n in p(n) = 0?
-1, -1/2, 0
Let u(k) be the first derivative of 3*k**5/5 - 3*k**4/2 + 3*k**2 - 3*k + 5. Find z such that u(z) = 0.
-1, 1
Let c = 12 + -9. Let u(z) be the third derivative of 0*z**4 - 2*z**2 + 0*z**5 + 0 + 0*z**c + 0*z + 0*z**6 - 1/1155*z**7 - 1/1848*z**8. Factor u(p).
-2*p**4*(p + 1)/11
Let y be -3*((-280)/(-32) + -9). Suppose -1/4*g**2 - y*g + 1/2 - 1/4*g**4 + 3/4*g**3 = 0. Calculate g.
-1, 1, 2
Let x(b) = -3*b**2 + 3*b + 6. Let t be 1 - 2 - (-4)/1. Let v(z) = 2*z**2 - z - 3. Let m(j) = t*x(j) + 5*v(j). Find y, given that m(y) = 0.
-3, -1
Solve 5/2*m**3 + 7/2*m**2 + 3/2*m + 0 + 1/2*m**4 = 0 for m.
-3, -1, 0
Suppose -f - 2*f + 9 = 0. Let n(k) be the second derivative of 5/9*k**f + 1/30*k**5 - k - 2/9*k**4 - 2/3*k**2 + 0. Factor n(b).
2*(b - 2)*(b - 1)**2/3
Let u(z) be the second derivative of 11*z**5/20 + 2*z**4 + 5*z**3/2 + z**2 - z. Factor u(f).
(f + 1)**2*(11*f + 2)
Let i(p) = p**2 - 11 + 0*p**2 - 2 - 12*p. Let j be i(13). Solve 0*h + j - 1/4*h**2 = 0.
0
Let z = -3 - -9. Suppose z*q - 3*q - 6 = 0. Suppose 2*h**4 + 2/9*h**q - 4/3*h**3 - 8/9*h**5 + 0 + 0*h = 0. Calculate h.
0, 1/4, 1
Let u(x) be the first derivative of 7*x**4/2 + 10*x**3/3 - 2*x**2 - 34. Find z such that u(z) = 0.
-1, 0, 2/7
Let r(k) = -k**2 - 6*k + 4. Let p be r(-6). Suppose 2*v = -0 + 4. Factor -4 + p + 2*y + 2*y**v.
2*y*(y + 1)
Let s(c) be the first derivative of c**4/16 - c**2/8 - 2. Find d such that s(d) = 0.
-1, 0, 1
Let m(r) = 2*r**2 - 5*r. Let l be m(4). Suppose -2*v - 4 = -l, -2 = 2*g - 3*v. Factor -2*w - 3*w + g*w - w**2 + 2 + w.
-(w - 2)*(w + 1)
Let q(p) = -p**2 + 11*p + 2. Let x be q(11). Suppose 0*u = x*u. Find l, given that 0*l + u - 2/5*l**2 + 2/5*l**4 + 0*l**3 = 0.
-1, 0, 1
Let g(k) = 3*k - 5. Let h be g(3). What is b in -5 + 4*b**4 - h*b**3 - b**5 - 2 + 7 = 0?
0, 2
Let k(s) be the first derivative of -3*s**5/5 + 3*s**4/2 + s**3 - 3*s**2 - 8. Factor k(l).
-3*l*(l - 2)*(l - 1)*(l + 1)
Let p be 6/((6/1)/3). Suppose 15 = 4*b + p. Factor 5*r**2 - 3*r**b + r**3 - 3*r**2.
-2*r**2*(r - 1)
Let q(z) = 58*z**3 + 358*z**2 - 194*z + 18. Let v(t) = 59*t**3 + 357*t**2 - 193*t + 19. Let g(u) = -5*q(u) + 6*v(u). Factor g(p).
4*(p + 6)*(4*p - 1)**2
Let c be (597/(-120) - -3) + 1 + 1. Let l(x) be the third derivative of -4*x**2 + 0*x + 1/20*x**5 - 1/8*x**4 + 0 - 1/2*x**3 + c*x**6. Let l(o) = 0. Calculate o.
-1, 1
Let h be (-1 - (2 + 0))/(-1). Let t = 2 + 0. Factor -4*m**5 + t*m + h*m**5 + 3*m**5 - 4*m**3.
2*m*(m - 1)**2*(m + 1)**2
Let x(u) be the second derivative of u**6/120 - u**4/8 + 2*u**3/3 - 2*u. Let n(i) be the second derivative of x(i). Factor n(g).
3*(g - 1)*(g + 1)
Suppose -2*f + 14 = 5*c, 5*f - 2*f - c - 4 = 0. Solve 5*o**3 - 5*o - 3 + o + 4*o**f - o**3 - 1 = 0.
-1, 1
Let f(a) be the second derivative of 1/3*a**3 + 1/2*a**2 + 0 + 1/12*a**4 - a. Factor f(p).
(p + 1)**2
Factor -26/5*i**2 - 8/5*i**4 - 18/5 + 12*i - 8*i**3.
-2*(i + 3)**2*(2*i - 1)**2/5
Let n(w) = w + 10. Let l be n(-8). Let c(x) be the first derivative of -19/10*x**4 + 0*x - 3 + 14/25*x**5 + 16/15*x**3 + 4/5*x**l. Let c(k) = 0. Calculate k.
-2/7, 0, 1, 2
Suppose 5*g - g**2 + 4*g**2 + 4*g**2 - 2*g**2 = 0. What is g?
-1, 0
Let t(h) = h**2 - 2*h + 1. Let d be t(1). Suppose d = 2*o - 5*o. Find x such that -1/2*x**3 + 0*x + 1/2*x**2 + o = 0.
0, 1
Let m be (28/16 - 1)/(6/16). Suppose 1/3*d**4 + 0*d**3 + 1/3*d**5 + 0 + 0*d + 0*d**m = 0. Calculate d.
-1, 0
Let v = 69 + -69. Let v*r + 1/2*r**3 + 1/2*r**4 + 0 - r**2 = 0. Calculate r.
-2, 0, 1
Let i be 6 + 18/(-6) + -3. Factor 0*u**3 - 2/13*u**4 + 0 + i*u**2 + 0*u.
-2*u**4/13
Let m(i) be the third derivative of -i**7/945 + i**6/216 - i**5/180 + i**4/24 - 4*i**2. Let s(l) be the second derivative of m(l). Determine w so that s(w) = 0.
1/4, 1
Factor 2/3*i + 1/3*i**2 + 1/3.
(i + 1)**2/3
Let c be (1/3)/((-4)/24). Let b be (-85)/(-175) - c/(-10). Factor -b*l**2 + 0 + 4/7*l.
-2*l*(l - 2)/7
Let l = 10 - 8. Suppose -n = 3*i + l*i + 16, n - 24 = 5*i. Factor -1/5*m**5 - 1/5 + 3/5*m**n + 3/5*m - 2/5*m**2 - 2/5*m**3.
-(m - 1)**4*(m + 1)/5
Let r(o) be the second derivative of o + 1/3*o**3 + 0*o**2 + 0 + 9/20*o**5 + 1/6*o**6 + 7/12*o**4 + 1/42*o**7. Factor r(x).
x*(x + 1)**3*(x + 2)
Let f(t) be the third derivative of t**7/280 - t**6/40 + t**5/20 - 11*t**2. Factor f(y).
3*y**2*(y - 2)**2/4
Let g(s) be the second derivative of -s**5/100 + s**4/30 - s**3/30 + 4*s. Factor g(r).
-r*(r - 1)**2/5
Let o be (4/3)/1 - (-10)/15. Let b(h) be the first derivative of -2/55*h**5 + 0*h + 4/11*h**o + 5/22*h**4 + 2 - 16/33*h**3. Find k, given that b(k) = 0.
0, 1, 2
Suppose t = 5*p + 3*t - 4, 1 = 2*p + t. Let a(b) be the first derivative of -2*b**3 - 3*b**2 - p*b + 3 - 1/2*b**4. Suppose a(z) = 0. Calculate z.
-1
Let n be 0 - (5/2 + -3). Factor -u**2 - 1/2*u + 0 - n*u**3.
-u*(u + 1)**2/2
Let d be (-18)/4*(-4)/6. Determine l so that l**3 - 3*l**3 + 0*l**2 + 4*l**d - 2*l**2 = 0.
0, 1
Let s(j) = -j**2. Let o(b) = 3*b**3 + 17*b**2 + 12*b. Let p(k) = o(k) + 5*s(k). Factor p(t).
3*t*(t + 2)**2
Let a(d) be the third derivative of -d**8/1680 + 7*d**2. Suppose a(s) = 0. What is s?
0
Let x be (1 + -2)/((-1)/2). Factor 24*w - 13*w**x + 1 - 9 - 2*w**2 - 3*w**2.
-2*(3*w - 2)**2
Let g(r) be the second derivative of -r**4/20 - r**3 - 15*r**2/2 + 16*r. Factor g(v).
-3*(v + 5)**2/5
Let f(j) be the second derivative of 2*j**6/225 + j**5/150 - j**4/90 - 38*j. Find s such that f(s) = 0.
-1, 0, 1/2
Let i(k) be the second derivative of -k**6/360 + k**3/3 - 2*k. Let m(v) be the second derivative of i(v). Factor m(w).
-w**2
Let q(j) be the second derivative of -3*j**4/4 + 7*j**3/2 - 3*j**2 - 13*j. Factor q(b).
-3*(b - 2)*(3*b - 1)
Let c(g) be the first derivative of -7*g**6/12 + 8*g**5/5 - 11*g**4/8 + g**3/3 + 5. Factor c(a).
-a**2*(a - 1)**2*(