7*c + 2)/5
Let q(t) be the second derivative of -4*t**3 + 6*t - 1/4*t**4 - 6*t**2 + 1/10*t**6 - 1/14*t**7 + 0 + 3/4*t**5. Determine r so that q(r) = 0.
-1, 2
Let o be (-6)/(((-88)/(-33))/(2/(-6))). Factor 3/4*b**2 + 0 + o*b.
3*b*(b + 1)/4
Factor -132/5 - 3/5*g**3 - 12*g + 69/5*g**2.
-3*(g - 22)*(g - 2)*(g + 1)/5
Let r(d) = d - 1. Let w be r(0). Let a be (1 - 3)/(0 + w). Suppose -3*p**2 + 6 + 3 + 6*p + 0 + 4*p**a = 0. Calculate p.
-3
Let w(b) be the second derivative of 2*b**2 - 2/3*b**3 - 1/3*b**4 + 10*b + 1/5*b**5 + 0. Let w(n) = 0. Calculate n.
-1, 1
Let t = 15 + -11. Let i = 1 + t. Factor -q**i - 107*q + 107*q + q**3.
-q**3*(q - 1)*(q + 1)
Let m(q) = q**3 - 14*q**2 - 17*q + 42. Let h be m(15). Suppose -4*f + 0 + h = 4*o, 0 = -4*f + 4*o + 12. Factor -1/3*p**2 + 1/3 - 1/3*p + 1/3*p**f.
(p - 1)**2*(p + 1)/3
Let q be ((-27)/(-5))/(87/290). Factor -27*k**2 + 34*k**2 - 13*k**2 + 3*k**3 - 15*k + q.
3*(k - 3)*(k - 1)*(k + 2)
Factor -49*h**2 + 0*h + h + 65*h**2 - 4*h**3 - 16 + 3*h.
-4*(h - 4)*(h - 1)*(h + 1)
Let c be (-2)/10 + 145/25*4. Suppose -13 = l + 3*y, -5*l + 7 = -4*y - c. Factor -1/5 + 0*k + 1/5*k**l.
(k - 1)*(k + 1)/5
Let v(p) be the second derivative of p**7/63 - p**5/15 + p**3/9 + 2*p + 37. Factor v(b).
2*b*(b - 1)**2*(b + 1)**2/3
Let l(t) be the second derivative of 0*t**2 - 4/3*t**4 - 16*t + 33/50*t**5 - 2/15*t**6 + 0 + 16/15*t**3 + 1/105*t**7. Solve l(f) = 0 for f.
0, 1, 4
Suppose 6*i - 4*b + 44 = 2*i, -2*i - 23 = -b. Let q be (-3*1/5)/(i/30). Factor 3/2*l**4 - 3*l**2 + 3/2 + 3/2*l - 3*l**3 + q*l**5.
3*(l - 1)**2*(l + 1)**3/2
Suppose 4*t + c - 22 + 2 = 0, -4*t + c = -20. Let q be -2 + -24*(-6)/63. Suppose -2/7*g**t + 0*g + 0*g**4 + q*g**3 + 0*g**2 + 0 = 0. Calculate g.
-1, 0, 1
Let 6 - 13/2*m - 2*m**2 = 0. What is m?
-4, 3/4
Let k(x) be the first derivative of -x**7/210 - x**6/45 + x**5/30 + x**4/3 + x**3/3 + 2*x - 52. Let g(w) be the third derivative of k(w). Factor g(f).
-4*(f - 1)*(f + 1)*(f + 2)
Let l be 190/(-741)*(16/(-5) + 2). Suppose -2/13*x**3 + 2/13*x**5 + l*x**2 + 0 - 4/13*x**4 + 0*x = 0. Calculate x.
-1, 0, 1, 2
Let r be (-8 + 2 - (-2 + -4))/2. Let c(u) be the second derivative of -2*u - 1/60*u**4 - 1/15*u**3 + 0 + r*u**2. Solve c(q) = 0.
-2, 0
Let t(n) be the third derivative of 1/200*n**6 + 3/40*n**4 - 1/10*n**3 - 3/100*n**5 + 0 - 6*n**2 + 0*n. Find r, given that t(r) = 0.
1
Let p(h) be the second derivative of h**6/135 + h**5/90 - 2*h**4/9 + 614*h. Find s such that p(s) = 0.
-4, 0, 3
Let -42*s**3 + 234*s**2 + 19*s**3 + 58*s + 14*s**3 + 17*s**3 = 0. What is s?
-29, -1/4, 0
Let c(v) be the second derivative of 8*v**2 - 2/15*v**6 + 8/3*v**3 - 4/5*v**5 + 0 - v**4 + 21*v. Factor c(m).
-4*(m - 1)*(m + 1)*(m + 2)**2
Let b be (1 - 8 - -3)*7*(-16)/280. Determine g, given that -4*g**2 + 52/5*g**3 - 12/5*g + 8/5 - 36/5*g**4 + b*g**5 = 0.
-1/2, 1, 2
Let n(q) be the first derivative of -q**3 - 3*q**2 + 42. Let b(y) = -3*y**2 - 6*y. Let o(l) = -6*b(l) + 5*n(l). Suppose o(r) = 0. What is r?
-2, 0
Let s = -1433773577/540 + 2655137. Let x = 1/270 + s. Find q, given that 0 + 0*q + 3/4*q**3 - x*q**2 = 0.
0, 1
Let n(q) be the second derivative of -q**8/2856 + 4*q**7/1785 - q**6/255 - 5*q**2 - 14*q. Let c(o) be the first derivative of n(o). Let c(x) = 0. What is x?
0, 2
Let n(o) = -o**3 + o - 1. Let r(k) = 10*k**3 - 280*k**2 - 9526*k + 20176. Let m(i) = 12*n(i) + r(i). Find b, given that m(b) = 0.
-71, 2
Let d(u) be the first derivative of u**6/2 - 6*u**5/5 - 3*u**4/4 + 2*u**3 + 257. Determine f so that d(f) = 0.
-1, 0, 1, 2
Let y(k) = k. Let n(b) = b**3 - 3*b**2 - 16*b + 3. Let w(q) = -n(q) - 5*y(q). Let a be w(5). Let 16*l + 8 + 4 + 6*l**2 + 4 - a*l**2 = 0. Calculate l.
-2
Solve 11879*x**2 - 65*x**3 + 49*x - 11719*x**2 + 80 + 0*x**4 - 22*x**4 + 211*x - 23*x**4 = 0.
-2, -1, -4/9, 2
Let z = 523/4 - 2607/20. Solve 3/5*o + z*o**2 - 1/5*o**3 + 0 = 0 for o.
-1, 0, 3
Let b = 2/7857 + 267124/54999. Let 10/7*k**5 + b*k**4 + 6*k**3 + 0 + 22/7*k**2 + 4/7*k = 0. Calculate k.
-1, -2/5, 0
Let h(u) be the first derivative of u**8/3360 - u**6/720 + 3*u**3 - 19. Let d(s) be the third derivative of h(s). Determine g, given that d(g) = 0.
-1, 0, 1
Let x be (-140)/(-49) + (-1)/(-7). What is d in d**2 + 11 - d**3 - 4*d + x*d**2 - 11 = 0?
0, 2
Let q be (4 - -2)*(0 - -2). Suppose -q*z + 3*z = -18. Solve -2/11*g**z - 2/11*g + 0 = 0 for g.
-1, 0
Let z = -69 - -73. Let d(u) be the third derivative of 0 + 1/12*u**z + 0*u**3 - 1/90*u**5 + 2*u**2 + 0*u. Solve d(g) = 0 for g.
0, 3
Let l(q) be the first derivative of q**7/3360 - q**5/480 - 9*q**3 + 25. Let g(r) be the third derivative of l(r). Factor g(j).
j*(j - 1)*(j + 1)/4
Let x(h) = h**4 - 6*h**3 + 9*h**2 + 4*h. Let l(o) = 2*o**4 - 11*o**3 + 16*o**2 + 7*o. Let a(k) = 4*l(k) - 7*x(k). Factor a(q).
q**2*(q - 1)**2
Let o(i) be the third derivative of i**6/160 - 9*i**5/80 - 21*i**4/32 - 11*i**3/8 - 134*i**2. Let o(x) = 0. What is x?
-1, 11
Let x(n) = n**2 + 54*n - 53. Let t be x(1). Let d be (-1 - 0) + 5 + -1. Suppose -10*m - 14/3*m**t - 6 - 2/3*m**d = 0. What is m?
-3, -1
Let z = 40 + -37. Determine x so that 3*x - 4*x - 5*x**2 + z*x + 3 = 0.
-3/5, 1
Let t(p) = 8*p + 227. Let x be t(-28). Factor -3/5*v**4 + 1/5*v**5 + 0 + 0*v**2 + 2/5*v**x + 0*v.
v**3*(v - 2)*(v - 1)/5
Suppose 1/7*s**2 - 11/7 - 10/7*s = 0. What is s?
-1, 11
Let a be (-102)/(-17) - (-2 + 5)*1. Let v(w) be the second derivative of 3*w**2 + 3*w + 5/2*w**a + w**4 + 3/20*w**5 + 0. What is y in v(y) = 0?
-2, -1
Let y(c) be the first derivative of c**6/72 + c**5/12 + 5*c**4/24 + 13*c**3/3 - 25. Let p(l) be the third derivative of y(l). Factor p(w).
5*(w + 1)**2
Let x = -23 + 27. Find s such that 20*s**4 - 6*s**x + 11*s**4 + 15*s**2 + 65*s**3 + 55*s**4 + 20*s**5 = 0.
-3, -1/2, 0
Let h(f) = f**3 - 3*f - 2. Suppose 2*c - 96 = 4*p, -2*c + 3*p + 50 = -c. Let k(o) = -43 + c - o + 2*o. Let w(i) = -2*h(i) - 4*k(i). Solve w(t) = 0.
-1, 0, 1
Let v(r) = -r**3 - 20*r**2 + 17*r + 3. Let h(j) = 3*j**3 + 20*j**2 - 16*j - 4. Let y(f) = -3*h(f) - 4*v(f). Factor y(i).
-5*i*(i - 2)**2
Let w(t) = 2*t**2 - t + 14. Let r be w(5). Let y = r + -56. Factor -2*u**3 + 9/2*u**2 + 1/2 - y*u.
-(u - 1)**2*(4*u - 1)/2
Let t = 1086 + -162899/150. Let z(k) be the second derivative of 0 - 1/15*k**3 + 6*k + 1/30*k**4 + 1/15*k**2 - t*k**5. Solve z(d) = 0.
1
Factor 108*y + 189*y**3 - 5*y**4 - 272*y**2 + 452*y - 99*y**3 - 133*y**2 - 240.
-5*(y - 12)*(y - 4)*(y - 1)**2
Let z(h) be the second derivative of h**8/336 - h**7/105 + h**5/30 - h**4/24 - h**2 - 13*h. Let x(g) be the first derivative of z(g). Factor x(f).
f*(f - 1)**3*(f + 1)
Let a(q) be the second derivative of -2*q**7/21 - 2*q**6/3 + 18*q**5/5 + 58*q**4/3 - 290*q**3/3 + 150*q**2 - 2*q + 482. Find s such that a(s) = 0.
-5, 1, 3
Let m(g) be the second derivative of g**7/84 - 3*g**6/20 + 3*g**5/40 + 73*g**4/24 + 8*g**3 + 9*g**2 - 49*g. Let m(o) = 0. What is o?
-1, 6
Let f(a) be the first derivative of -a**4/16 + 11*a**3/12 - 35*a**2/8 + 25*a/4 + 90. Let f(x) = 0. Calculate x.
1, 5
Factor -12*q - 3*q**2 + 9 + 21 + 2*q**2 + 14*q - 3*q.
-(q - 5)*(q + 6)
Suppose 2*o = -14 + 344. Let d = o - 491/3. Factor z**2 - d + 1/3*z**3 + 0*z.
(z - 1)*(z + 2)**2/3
Let i(o) = 3*o**5 + 9*o**4 + 21*o**3 + 15*o**2 + 12*o. Let l(h) = h**4 + h**3 + h**2 - h. Let y(q) = i(q) + 6*l(q). Factor y(c).
3*c*(c + 1)**3*(c + 2)
Factor -1/12*z**2 + 4/3 + 0*z.
-(z - 4)*(z + 4)/12
Let a = -1699 + 1141729/672. Let r(q) be the third derivative of 3*q**2 + a*q**8 + 0*q**6 + 0*q**3 + 0*q**4 - 1/420*q**7 + 0 + 0*q + 0*q**5. Factor r(o).
o**4*(o - 1)/2
Solve -288/11*h**2 + 294/11*h**5 + 32/11*h - 952/11*h**4 + 0 + 864/11*h**3 = 0 for h.
0, 2/7, 2/3, 2
Factor 2*z**3 - 7*z**3 + 25 - 15*z**2 - 5.
-5*(z - 1)*(z + 2)**2
Let i(n) be the second derivative of -5*n**4/12 + 215*n**3/3 - 9245*n**2/2 - 277*n. Factor i(h).
-5*(h - 43)**2
Let x(d) be the second derivative of d**6/24 - d**5/6 + 17*d**2/2 - 5*d. Let a(h) be the first derivative of x(h). Suppose a(o) = 0. What is o?
0, 2
Suppose 0 - 8/5*q + 2/5*q**2 = 0. Calculate q.
0, 4
Let v(o) = -3*o**2 - 32*o - 18. Let d(w) = 6*w**2 + 65*w + 37. Let m(n) = -6*d(n) - 11*v(n). Solve m(r) = 0 for r.
-12, -2/3
Let y = 810 - 806. Let p(c) be the third derivative of y*c**2 + 0*c**5 + 1/660*c**6 + 0 + 0*c**4 + 0*c + 0*c**3. Suppose p(w) = 0. Wha