 d - 4. Let x(f) be the first derivative of n(f). Let x(u) = 0. Calculate u.
0, 1/3
Let d = -6 - -11. Suppose d*k = -0*k. Factor -j - 28*j**3 + k - 19/2*j**2 - 24*j**4.
-j*(3*j + 2)*(4*j + 1)**2/2
Let l(d) be the second derivative of 1/80*d**5 - 3/2*d**2 + 3*d + 0 + 1/24*d**3 - 1/32*d**4 - 1/480*d**6. Let q(u) be the first derivative of l(u). Factor q(i).
-(i - 1)**3/4
Factor 10/9*r**3 - 14/3*r + 2/9*r**4 + 2/9*r**2 - 4.
2*(r - 2)*(r + 1)*(r + 3)**2/9
Let y(o) be the second derivative of o**7/2520 + o**6/180 + o**5/30 - 5*o**4/12 - 7*o. Let f(a) be the third derivative of y(a). Find k such that f(k) = 0.
-2
Let u(a) be the first derivative of a**6/2 - 3*a**4/2 + 3*a**2/2 - 2. Determine x, given that u(x) = 0.
-1, 0, 1
Let y(c) be the third derivative of -c**6/360 - c**5/180 + c**4/72 + c**3/18 + 4*c**2. Factor y(p).
-(p - 1)*(p + 1)**2/3
Suppose 4*n - 4*i + 2*i - 18 = 0, -3*n - 2*i + 31 = 0. Suppose -n = -3*h - 1. Suppose -3*g**h + 4 + 4*g**2 - 3*g + 2 - 4*g**2 = 0. What is g?
-2, 1
Factor -2/3 + 1/2*h**2 + 2/3*h**4 - 13/6*h**3 + 8/3*h.
(h - 2)**2*(h + 1)*(4*h - 1)/6
Let x be 1 - ((-11)/9 + 2). Let l = 292/5 + -2588/45. Factor -8/9 - l*b - x*b**2.
-2*(b + 2)**2/9
Find u, given that -30*u - 25/2*u**4 + 70*u**2 + 0 + 35/2*u**3 = 0.
-2, 0, 2/5, 3
Let p(d) be the second derivative of -d**7/28 - d**6/5 - 9*d**5/40 + 7*d + 6. Factor p(b).
-3*b**3*(b + 1)*(b + 3)/2
Let i(m) be the third derivative of 1/27*m**6 + 0*m**3 + 0*m + 1/54*m**4 - 9*m**2 + 0 - 1/105*m**7 - 13/270*m**5. What is t in i(t) = 0?
0, 2/9, 1
Let d(f) be the third derivative of -3*f**6/10 - 2*f**5/5 - f**4/6 - 14*f**2. Factor d(t).
-4*t*(3*t + 1)**2
Solve g + 1/4*g**2 + 1 = 0 for g.
-2
Find y such that 0*y**3 - 3*y**3 + 3 + 3*y + 790*y**2 - 793*y**2 = 0.
-1, 1
Let v(m) = 14*m**2 + 18*m + 4. Suppose w - 3 = t, 0 = -4*w - 5*t - 8 - 16. Let u = 6 + -10. Let c(x) = -x**2 - x. Let b(z) = u*c(z) + w*v(z). Factor b(d).
-2*(d + 1)*(5*d + 2)
Let a(m) be the first derivative of 7*m**3/15 - 8*m**2/5 + 4*m/5 - 5. Factor a(v).
(v - 2)*(7*v - 2)/5
Let m be (-1 - 2)/((-1)/5). Let r be (9/m + -1)*-10. Factor 2*y**2 - 3*y**4 + y**3 - y**5 - 3*y**2 + r*y**4.
-y**2*(y - 1)**2*(y + 1)
Let v(x) be the third derivative of x**7/280 - x**6/80 + x**4/16 - x**3/8 - 3*x**2. Find b such that v(b) = 0.
-1, 1
Suppose 7*q**3 + q**4 + 6*q**2 + q + q + 18*q + 8 + 12*q**2 = 0. Calculate q.
-2, -1
Let p(l) be the first derivative of l**9/7560 - l**7/1050 + l**5/300 - 2*l**3 + 2. Let m(b) be the third derivative of p(b). Let m(y) = 0. What is y?
-1, 0, 1
Let u(j) be the first derivative of -6*j**3/5 - 4*j**2 - 8*j/5 - 36. Find a, given that u(a) = 0.
-2, -2/9
Let d(c) be the third derivative of -c**6/120 - c**5/30 + c**4/8 + 2*c**3/3 + c**2. Let b be d(-3). Factor -7*h**3 - 2*h**5 + 7*h**b + h**4 - h**3.
-2*h**3*(h - 2)**2
Let c(f) = 5*f + 1. Let p be c(-1). Let r be (p/5)/(1/(-5)). Find j, given that j - 2*j**4 + r*j**4 - j**5 - j**2 - j**2 = 0.
-1, 0, 1
Factor -2*s**4 + 3*s**4 - 195*s**3 + 5*s**5 + 192*s**3 - s**5.
s**3*(s + 1)*(4*s - 3)
Let r(l) = -2*l - 1. Let x be r(-2). Let d be (1 + x - 2) + -2. Determine h so that 0*h - 2/7*h**4 + 0*h**3 + d*h**2 + 2/7*h**5 + 0 = 0.
0, 1
Suppose 0 = -2*x, x - 2 = t - 8. Let j(l) be the first derivative of 0*l**2 + 0*l - 1 + 1/14*l**4 + 0*l**3 + 4/35*l**5 + 1/21*l**t. Find p, given that j(p) = 0.
-1, 0
Suppose 6/11*d + 2/11*d**2 - 8/11 = 0. What is d?
-4, 1
Determine y, given that 1/3*y**2 - 1/6 + 0*y**3 - 1/6*y**4 + 0*y = 0.
-1, 1
Let v(q) be the first derivative of 4 + 4/7*q - 23/21*q**3 + 67/28*q**4 + 7/6*q**6 - 8/7*q**2 + 17/5*q**5. Determine o, given that v(o) = 0.
-1, 2/7
Let b be ((-5)/((-5)/(-9)))/(-1). Suppose 11*h**2 + b*h**3 - h - 2*h**2 + 4*h + 3*h**4 = 0. Calculate h.
-1, 0
Let f(p) be the first derivative of 1 - 2/27*p**3 - 1/9*p**2 + 4/9*p. Factor f(g).
-2*(g - 1)*(g + 2)/9
Let b(o) be the third derivative of -o**7/70 - o**6/16 - o**5/10 - o**4/16 + 2*o**2. Factor b(c).
-3*c*(c + 1)**2*(2*c + 1)/2
Let p = 56087/49515 - -2/3301. Let x = -7/15 + p. Find s such that x*s**2 + 0*s - 2/3 = 0.
-1, 1
Let m(t) be the first derivative of -t**7/70 - t**6/50 + 3*t**5/100 + t**4/20 - 4*t - 4. Let n(c) be the first derivative of m(c). Factor n(h).
-3*h**2*(h - 1)*(h + 1)**2/5
Let l be (0/2 - -1)*20. Let b(n) = 6*n + n**2 + l*n + 3*n**2. Let k(o) = -o**2 - 5*o. Let a(w) = -2*b(w) - 11*k(w). Determine x so that a(x) = 0.
-1, 0
Let w(m) = 35*m - 2. Let y be w(2). Let x be -1 + y/20 + -2. Determine q, given that -2/5*q**5 + 0*q - 6/5*q**3 - x*q**2 - 6/5*q**4 + 0 = 0.
-1, 0
Let 2*h - 2/7*h**2 - 24/7 = 0. Calculate h.
3, 4
Let y = 12503/20 + -625. Let t(p) be the second derivative of 0 + 3*p + 0*p**3 + 0*p**2 - y*p**5 + 1/4*p**4. Factor t(z).
-3*z**2*(z - 1)
Let d(s) = -1 + 0*s - 4*s + 0 + 3*s. Let c(k) = k**3 + 2*k**2 - 2*k - 3. Let z(b) = -2*c(b) + 6*d(b). Find t, given that z(t) = 0.
-1, 0
Let o = 30 - 119/4. Determine a, given that -3/4*a**4 + 0*a + 1/2*a**3 + o*a**2 + 0 = 0.
-1/3, 0, 1
Solve -9/2*i**2 - 9/8*i**5 + 21/8*i**4 + 0 + 9/4*i**3 - 3*i = 0 for i.
-1, -2/3, 0, 2
What is u in -4*u**3 - u**3 + 4*u**5 + 5*u**3 = 0?
0
Let x(v) be the first derivative of 0*v - 5/6*v**4 + 4/15*v**5 - 7 - 4/9*v**3 + 5/9*v**6 + 0*v**2. Determine d, given that x(d) = 0.
-1, -2/5, 0, 1
Let k(s) be the second derivative of -2*s**7/7 - 2*s**6/3 - s**5/5 + s**4/3 - 51*s. Factor k(l).
-4*l**2*(l + 1)**2*(3*l - 1)
Let q be ((48/100)/(-1))/(3/(-20)). Factor -q + 12/5*s**2 + 0*s - 4/5*s**3.
-4*(s - 2)**2*(s + 1)/5
Let l(u) be the third derivative of -1/3*u**3 - 1/60*u**6 + 1/40*u**5 + 0 - 3*u**2 + 1/12*u**4 + 0*u + 1/420*u**7. Find m such that l(m) = 0.
-1, 1, 2
Let w(s) be the second derivative of -s**6/20 + s**5/4 - s**4/2 + s**3/2 - s**2/4 - 2*s. What is n in w(n) = 0?
1/3, 1
Let p(i) be the third derivative of 0*i - 1/20*i**6 - 1/2*i**3 + 0 + 1/4*i**4 - 4*i**2 + 0*i**5 + 1/70*i**7. Factor p(v).
3*(v - 1)**3*(v + 1)
Let l = -83 + 83. Factor 2/5*n**4 + 2/5*n**3 - 4/5*n**5 + l*n**2 + 0 + 0*n.
-2*n**3*(n - 1)*(2*n + 1)/5
Let g(k) = k + 12. Let r be g(-7). Suppose 5*b + 3*y - 15 = 0, -2*b = b + r*y - 25. Let 0 - 2/9*c**5 + 0*c + 2/9*c**4 + b*c**3 + 0*c**2 = 0. Calculate c.
0, 1
Let f be ((8/8)/14)/(3/6). Solve -8/7*m - f*m**3 - 4/7 - 5/7*m**2 = 0.
-2, -1
Let l = 889 - 5311/6. Let s = l - 10/3. Suppose 4*n**5 + 4*n + 19*n**3 - s - 14*n**4 - 25/2*n**2 = 0. Calculate n.
1/2, 1
Suppose -3*w + 10 = 2*w. Let h(t) be the first derivative of -1 + 1/8*t**w - 1/6*t**3 - 1/5*t**5 - 7/16*t**4 + 0*t. Factor h(f).
-f*(f + 1)**2*(4*f - 1)/4
Let o(w) = 5*w. Let g be o(2). Let p = -5 + g. Factor -2*t**3 + 11*t**2 + t**3 - 9*t**4 - p*t**3 - 4 + 4*t.
-(t + 1)**2*(3*t - 2)**2
Let -4/5*r**2 + 0 + 4/5*r**3 + 0*r = 0. What is r?
0, 1
Suppose 0*z = 5*z + 4*y + 8, -y - 2 = z. What is f in -2/7*f**2 - 4/7*f + z = 0?
-2, 0
Let x = -50 - -301/6. Factor 1/6*a**4 + 0 + 1/6*a - 1/6*a**2 - x*a**3.
a*(a - 1)**2*(a + 1)/6
Factor 4*m**2 + 4*m**2 - 4*m**2 - 2 - 2.
4*(m - 1)*(m + 1)
Let o(n) be the first derivative of -2*n**5/25 + n**4/10 + 2*n**3/5 - n**2 + 4*n/5 - 8. Factor o(y).
-2*(y - 1)**3*(y + 2)/5
Let s(z) = 5*z**2 + 2*z + 2. Let v(y) = -81*y**2 - 33*y - 33. Let o(x) = 33*s(x) + 2*v(x). Factor o(j).
3*j**2
Suppose -36*c = -35*c - 2. Factor -1/5*q**c + 1/5*q + 2/5.
-(q - 2)*(q + 1)/5
Let c be 2/12*(-3)/(-2). Let 1/4*u**2 - c*u**3 + 1/2*u + 0 = 0. Calculate u.
-1, 0, 2
Let m = 42 - 32. Suppose -u + 8 = -4*k - 1, 0 = 4*u - 3*k - m. Solve 3/2*n**3 + 1/4*n**4 + u + 3*n + 13/4*n**2 = 0.
-2, -1
Let k = 1 - -3. Let z(t) be the first derivative of -1/10*t**k + 2 + 0*t + 2/25*t**5 + 0*t**3 + 0*t**2. Factor z(o).
2*o**3*(o - 1)/5
Let u(p) be the third derivative of -5*p**8/84 + 17*p**7/42 - 2*p**6/3 - 13*p**5/12 + 25*p**4/6 - 10*p**3/3 + 25*p**2. Find c, given that u(c) = 0.
-1, 1/4, 1, 2
Suppose -108 = 5*f - 3*p, -2*f - 14 = -2*p + 26. Let r be (-41)/(-35) + f/(-56). Solve -12/5*y**5 + 4*y**3 + 0*y**2 + 2/5*y**4 - 2/5 - r*y = 0 for y.
-1, -1/2, -1/3, 1
Let m(y) be the first derivative of 8/3*y**3 - 1/2*y**4 + 4*y + 4 - 5*y**2. Factor m(k).
-2*(k - 2)*(k - 1)**2
Let m(g) = g**3 - 3*g**2 - 4*g - 4. Let j be m(4). Let t be (j/(-7))/(50/35). Find y, given that -y**3 - 1/5*y + 8/5*y**2 - t = 0.
-2/5, 1
Let a(j) = j**3 + 3*j**2 - 3*j + 1. Let u