 - 1/4*o**2 + 1/4 + 1/4*o.
-(o - 1)*(o + 1)**2/4
Let d be 2*9/(-3)*-1. Let c be 4/d + (-13)/(-3). Factor 0*p**5 + 2*p**5 - p**c.
p**5
Let l(y) be the second derivative of -y**7/8 - y**6/8 + 3*y**5/5 - y**4/4 + 6*y. Find m such that l(m) = 0.
-2, 0, 2/7, 1
Let u be (-42)/(-15) - 2/(-10). Let s be 5/(45/(-24)) + u. Factor -p - 1/3*p**3 + p**2 + s.
-(p - 1)**3/3
Suppose 0 = -2*j + 1 + 5. Suppose -j*q + 3 = -2*q. Solve -3*f**3 - f + f**2 + 4*f**3 + 0*f**q - f**4 = 0.
-1, 0, 1
Let u(b) be the third derivative of b**5/60 - b**4/3 + 8*b**3/3 - 9*b**2. Factor u(y).
(y - 4)**2
Let u(h) = -5*h**2 - h + 3. Suppose -3*v - 40 = 2*v. Let c = v + 16. Let q(y) = 14*y**2 + 2*y - 8. Let w(k) = c*u(k) + 3*q(k). Factor w(l).
2*l*(l - 1)
Let l(b) be the first derivative of -b**7/630 + b**6/360 - 3*b**2/2 - 1. Let h(q) be the second derivative of l(q). Let h(c) = 0. What is c?
0, 1
Let p be ((-6)/8)/(84/(-128)). Factor -8/7*g + 6/7*g**2 + 8/7*g**3 + 2/7*g**4 - p.
2*(g - 1)*(g + 1)*(g + 2)**2/7
Let l(x) be the first derivative of x**8/1176 + 2*x**7/735 + x**6/420 + x**2/2 + 4. Let n(j) be the second derivative of l(j). Find v such that n(v) = 0.
-1, 0
Let o(v) = -7*v**4 - 30*v**3 + 45*v**2 + 52*v - 60. Let n(s) = -2*s**4 - 10*s**3 + 15*s**2 + 17*s - 20. Let k(q) = -8*n(q) + 3*o(q). What is z in k(z) = 0?
-2, 1
Let i(a) be the second derivative of -2*a + 3/10*a**6 - 3/4*a**5 + 0 + 7/12*a**4 + 0*a**2 - 1/6*a**3. Factor i(r).
r*(r - 1)*(3*r - 1)**2
Let c = -647/3 + 171. Let q = 45 + c. Factor -g**2 - g**3 - 1/3*g**4 + 0 - q*g.
-g*(g + 1)**3/3
Let h be (-146)/511*(-14)/26. Find s, given that 2/13*s**2 + 6/13 - h*s**3 + 10/13*s = 0.
-1, 3
Suppose -43 = 5*m + 47. Let p be (6/(-9))/(6/m). Factor -2/3*s**2 + 0 + p*s.
-2*s*(s - 3)/3
Let g(i) be the third derivative of -i**8/168 + 4*i**7/105 - i**6/15 - 8*i**2. Factor g(b).
-2*b**3*(b - 2)**2
Let j(w) be the second derivative of 2*w + 7/75*w**6 + 19/50*w**5 + 1/105*w**7 + 16/15*w**3 + 0 + 4/5*w**2 + 5/6*w**4. Factor j(q).
2*(q + 1)**3*(q + 2)**2/5
Let t(w) be the third derivative of -1/24*w**8 + 0*w + 53/420*w**6 + 8/21*w**3 + 0 - 53/105*w**5 - 1/21*w**4 - w**2 + 2/15*w**7. Suppose t(c) = 0. Calculate c.
-1, -2/7, 2/7, 1, 2
Let c(y) be the first derivative of y**4 + 28*y**3/3 + 16*y**2 - 64*y - 6. Find a, given that c(a) = 0.
-4, 1
Let j be (1 - 0)*0/1. Suppose 3*u - 2*u = j. Factor 0*t**3 + 0*t + 0*t**2 + u - 1/4*t**4.
-t**4/4
Let s be (2/24)/(624/36 + -17). Factor 10*f - 33/4*f**2 - 4 + 5/2*f**3 - s*f**4.
-(f - 4)**2*(f - 1)**2/4
Factor 16*y**3 + 14*y**2 - 5*y**3 - 4*y**3 + 30*y - 5*y**3 + 18.
2*(y + 1)*(y + 3)**2
Suppose 3*s - 5*t = 3 + 23, 3*t = -5*s - 2. Let d(m) be the second derivative of 1/48*m**4 + 0*m**3 + s*m + 0*m**2 + 0. Find y such that d(y) = 0.
0
Solve -2/13*y**5 - 2/13*y**2 + 2/13*y**3 + 0 + 2/13*y**4 + 0*y = 0.
-1, 0, 1
Let g(q) = 21*q - 17. Let h be g(1). Let t be (-2)/(16/(-22)) - 2. Suppose 0 + t*b**h - 1/4*b + 1/2*b**5 - 3/4*b**2 - 1/4*b**3 = 0. Calculate b.
-1, -1/2, 0, 1
Let u(w) be the second derivative of w**5/110 - w**3/33 - 2*w. Factor u(a).
2*a*(a - 1)*(a + 1)/11
Let c(u) be the first derivative of -2*u**3/51 - 22*u**2/17 - 242*u/17 - 38. Find w, given that c(w) = 0.
-11
Let q(u) be the first derivative of 2*u**3/15 + 2*u**2/5 + 1. Let q(c) = 0. What is c?
-2, 0
Let f(x) be the third derivative of -x**5/20 + 5*x**4/8 - 3*x**3 - 18*x**2. Suppose f(r) = 0. What is r?
2, 3
Let i be -1*(2 + -8)*-3. Let n be 3*4/i*-3. What is v in 4*v**n + 3*v**5 - 3*v**4 - v**3 - 2*v**2 - v**4 = 0?
-2/3, 0, 1
Suppose 38 = 4*q + 15*q. Find o, given that -2/9*o**q + 2/9*o + 2/9 - 2/9*o**3 = 0.
-1, 1
Let i(o) be the third derivative of -o**6/20 + o**5/6 + o**4/6 - 14*o**2. Factor i(r).
-2*r*(r - 2)*(3*r + 1)
Let b(j) be the first derivative of j**6/60 + 3*j**5/10 + 9*j**4/4 + 9*j**3 - 5*j**2/2 + 2. Let g(c) be the second derivative of b(c). Factor g(n).
2*(n + 3)**3
Let n(o) = o**5 - o**3 + 1. Let m(p) = p**5 + 4*p**4 - 9*p**3 - 4*p**2 + 8*p - 3. Let s(i) = m(i) + 3*n(i). Factor s(w).
4*w*(w - 1)**2*(w + 1)*(w + 2)
Let u(k) be the first derivative of 2*k**5/105 + 2*k**4/21 + 10*k**3/63 + 2*k**2/21 + 5. Factor u(a).
2*a*(a + 1)**2*(a + 2)/21
Let p = 255 - 253. Factor -6/7*n + 4/7 - 4/7*n**p.
-2*(n + 2)*(2*n - 1)/7
Let c(w) be the second derivative of -w**5/110 - 7*w**4/66 - w**3/3 - 5*w**2/11 + 23*w + 2. Suppose c(i) = 0. Calculate i.
-5, -1
Determine m so that 4/9*m + 0 + 10/9*m**2 = 0.
-2/5, 0
Let p = 27 - 23. Let h(m) be the third derivative of 1/21*m**3 - 1/420*m**6 - 3*m**2 + 0*m + 0 - 1/28*m**p + 1/70*m**5. Factor h(u).
-2*(u - 1)**3/7
Let h(u) be the first derivative of -u**6/120 - u**5/20 - u**4/12 - u**2/2 - 2. Let o(p) be the second derivative of h(p). Suppose o(c) = 0. Calculate c.
-2, -1, 0
Solve s**2 - s**3 + 0 + 1/3*s**4 - 1/3*s = 0 for s.
0, 1
Let u(s) be the second derivative of s**7/168 - s**6/30 + 3*s**5/40 - s**4/12 + s**3/24 - 5*s. Factor u(m).
m*(m - 1)**4/4
Factor 3/2*d**3 - 3/2*d**2 + 3/2 - 3/2*d.
3*(d - 1)**2*(d + 1)/2
Let t(z) be the third derivative of z**7/7560 - z**5/360 - z**4/24 - 3*z**2. Let u(k) be the second derivative of t(k). Find q such that u(q) = 0.
-1, 1
Let r(p) be the third derivative of p**7/42 - p**5/4 - 5*p**4/12 - 7*p**2. Factor r(l).
5*l*(l - 2)*(l + 1)**2
Let d be (-5)/25 - (-98)/(-10). Let y be (-10)/(-4)*(-12)/d. Determine g so that -8*g**y + 7*g**2 + 2*g**2 + 2*g - 3*g**2 = 0.
-1/4, 0, 1
Let j(h) = -4*h**2 - 2*h - 1 + 0 + 7*h. Let l(r) = -15*r**2 + 19*r - 4. Let i(p) = -22*j(p) + 6*l(p). Let i(a) = 0. Calculate a.
1
Let v(i) be the second derivative of -i**4/3 + 3*i. Find d such that v(d) = 0.
0
Let h(z) be the first derivative of 5*z**6/6 + z**5 - 15*z**4/4 - 25*z**3/3 - 5*z**2 - 9. Find l such that h(l) = 0.
-1, 0, 2
Let x = 4 - -5. Suppose 9*s**4 - x*s**3 + 0*s**5 + 4*s**2 - 3*s**5 - s**2 = 0. Calculate s.
0, 1
Let u(c) be the third derivative of -c**5/150 + c**4/15 - c**3/5 - 18*c**2. Factor u(m).
-2*(m - 3)*(m - 1)/5
Suppose -30 = -3*w - 6. Suppose -4*y + 5 = -3*h, 5*y + 0*y - w = 2*h. Determine u, given that 4*u**y + 0*u - u - u - 8*u + 4 = 0.
1/2, 2
Let t = 19 + -8. Let d**4 - 4*d**2 + 12*d**3 + 5*d**5 - d**5 - 2*d**4 - t*d**4 = 0. What is d?
0, 1
Let k(y) = 10*y**2 + 13*y - 7. Let d(x) = -7*x**2 - 9*x + 5. Let t(f) = 7*d(f) + 5*k(f). Factor t(b).
b*(b + 2)
Let y(k) be the second derivative of -13/6*k**4 + 0*k**2 - 1/3*k**7 - 27/10*k**5 - 23/15*k**6 - 2/3*k**3 - k + 0. Suppose y(d) = 0. Calculate d.
-1, -2/7, 0
Let l(k) = k**2 - k + 6. Let p be l(0). Suppose f**5 - f**5 + 0*f + p*f**3 - 3*f**5 - 3*f = 0. What is f?
-1, 0, 1
Let n(x) be the first derivative of x**2/2 - 3*x + 4. Let m be n(5). Factor -6/7*s**m + 2/7*s**3 - 2/7 + 6/7*s.
2*(s - 1)**3/7
Let j(z) = z**3 + 4*z**2 - 2*z + 17. Let n be j(-5). Determine c so that -4/5*c**n + 2*c**5 + 0 + 18/5*c**3 - 24/5*c**4 + 0*c = 0.
0, 2/5, 1
Factor 1/5*o**2 + 2/5 + 3/5*o.
(o + 1)*(o + 2)/5
Let x be (-314)/540 - (-21)/35. Let m(b) be the second derivative of 0 - 1/45*b**5 - x*b**4 + 0*b**2 - b - 1/135*b**6 + 0*b**3. Solve m(w) = 0.
-1, 0
Let y = -4 + 7. Suppose -3*c - y*g + 15 = 3, 3*c = 2*g + 17. Factor 7*n**3 + 1 + n**4 + n**c + 4*n**4 + 3*n**3 + 5*n + 10*n**2.
(n + 1)**5
Let t = 27 - 20. Let z be (-6)/(-4)*14/t. Solve -1/6 + 1/6*m + 1/6*m**2 - 1/6*m**z = 0.
-1, 1
Let v(r) be the third derivative of r**7/70 + r**6/40 - r**5/10 - 6*r**2. Determine m, given that v(m) = 0.
-2, 0, 1
Let p(v) = v**3 + 5*v**2 + 7*v. Let g(o) = -4*o**2 - 8*o. Let w(j) = 3*g(j) + 4*p(j). Find d, given that w(d) = 0.
-1, 0
Suppose -9*y - 19*y - y = 0. Let y*p + 2/13*p**4 - 4/13*p**2 + 0*p**3 + 2/13 = 0. Calculate p.
-1, 1
Let z be 1/6 + 21/36. Solve z*c + 0*c**2 - 3/4*c**3 + 0 = 0 for c.
-1, 0, 1
Suppose 5*x = -41 + 66. Factor x*h - 25/4*h**2 - 1.
-(5*h - 2)**2/4
Let z(u) = -2*u + 17. Let o be z(7). Let h = 3 - o. Factor -2/3*m**3 - 8/3*m + 8/3*m**2 + h.
-2*m*(m - 2)**2/3
Factor 3/2*p**3 + 0*p + 0 - 3/2*p**2.
3*p**2*(p - 1)/2
Suppose 5 = q + 3. Solve 0 - 3/5*a - 3/5*a**q = 0 for a.
-1, 0
Find o, given that 2*o**4 - o + o - 11*o**4 - 6*o + 3*o**3 + 9*o**2 + 3*o**5 = 0.
-1, 0, 1, 2
Suppose -5*n + 4*c - c + 12 = 0, 0 = -5*c - 20. Determine y, given that -y**2 - 1 + 0 + n*y + 2*y = 0.
1
Let k(u) be the first derivative of -u**4/24 + u**3/9 - 16