0 - d**4/48 + d**3/6 - 3*d**2 - 19*d. What is r in o(r) = 0?
-2, 1
Let f(i) be the first derivative of -i**5/25 + 7*i**4/30 - 4*i**3/15 - 6*i**2 + 6. Let d(g) be the second derivative of f(g). Factor d(x).
-4*(x - 2)*(3*x - 1)/5
Suppose h - 106 = -7*p + 4*p, 33 = p - 2*h. Factor -108*b - p - 4*b**2 - 97 - 32*b**2 - 4*b**3 + 24.
-4*(b + 3)**3
Let d(s) be the second derivative of s**7/84 - s**6/60 - 3*s**5/40 + s**4/24 + s**3/6 + 50*s. Factor d(h).
h*(h - 2)*(h - 1)*(h + 1)**2/2
Suppose 0 = -4*q - 0*q + 4*a + 44, 4*a - 10 = -5*q. Let p be (48/28)/(3 + q/(-4)). Solve -4/7*d**2 + p - 4/7*d = 0 for d.
-2, 1
Let d = 565/151 - 86649/3020. Let q = 103/4 + d. Factor -q*p + 2/5 + 2/5*p**2.
2*(p - 1)**2/5
Suppose -17*g + 1872 = -26*g. Let x = -208 - g. Let 2/5*l**4 + 2/5*l**3 + 0*l**2 + 0*l + x = 0. Calculate l.
-1, 0
Let n(l) = -l**2 + 2*l - 3. Let b(y) = -3*y**2 + 3*y - 10 - 19 + 24. Let o(u) = -4*b(u) + 10*n(u). Factor o(j).
2*(j - 1)*(j + 5)
Suppose 0 = 31*h - 29*h - 4. Suppose 4*i**4 - 18*i**h - 4*i**3 - 3*i**4 + 22*i**2 = 0. What is i?
0, 2
Let m(c) = 1. Let o(g) = g**3 + 15*g + 4. Let b(h) = -h**2 - h - 1. Let p(d) = 6*b(d) + o(d). Let x = -12 - -14. Let i(f) = x*m(f) + p(f). Solve i(t) = 0 for t.
0, 3
Let v(s) = -10*s**3 + 5. Suppose -4*a - g = 2 + 9, 5*g = 25. Let m(c) = 9*c**3 - c**2 - 4. Let l(y) = a*v(y) - 5*m(y). Determine h, given that l(h) = 0.
0, 1
Let u be 5*(-29)/(1740/(-8)). Solve -2/3*s**2 + u*s + 4/3 = 0.
-1, 2
Let d be (-3)/(-2) - 1/(-4)*26. Determine j, given that -j**3 + 5*j**2 - j**4 - 3*j + j**3 - d*j**3 + 7*j**3 = 0.
-3, 0, 1
Let b(h) be the first derivative of 8 + 3/2*h**2 - h**3 + 6*h. Solve b(i) = 0 for i.
-1, 2
Let g(o) be the second derivative of -1/120*o**6 + 0 + 1/16*o**5 + 1/8*o**3 - 7/48*o**4 + 0*o**2 - 9*o. Factor g(u).
-u*(u - 3)*(u - 1)**2/4
Suppose 0 = -2*f - 17 + 77. Factor 11*n - f - 43*n - 5*n**2 - 3*n.
-5*(n + 1)*(n + 6)
Let x(b) be the second derivative of 0 + 1/60*b**5 + 1/6*b**3 - 14*b + 1/12*b**4 + 1/6*b**2. Factor x(r).
(r + 1)**3/3
Let k(y) be the second derivative of y**8/336 - y**6/36 + 5*y**4/24 - y**3/3 - 16*y. Let q(l) be the second derivative of k(l). Factor q(w).
5*(w - 1)**2*(w + 1)**2
Let v(h) be the second derivative of -h**5/5 - 2*h**4/9 + 2*h**3/9 - 101*h. Factor v(r).
-4*r*(r + 1)*(3*r - 1)/3
Let g(f) = -f**2 + f + 8. Let t be g(3). Find x, given that 22*x**2 + 32*x - 23*x**2 + 22*x**3 - 24*x**2 - 47*x**2 + 128 - t*x**4 = 0.
-1, 4
Let f = 51704 - 51702. Factor 1/2 - 5/12*c - 1/12*c**f.
-(c - 1)*(c + 6)/12
Let u = 388/35 - 288/35. Factor -12/7*j**2 - 32/7*j**3 + 0*j - u*j**4 + 0.
-4*j**2*(j + 1)*(5*j + 3)/7
Let w be (-5)/(-9)*(-258)/(-430). Factor 0*f + 0*f**2 - w*f**3 + 0 + 1/3*f**4.
f**3*(f - 1)/3
Determine m, given that 90/11*m + 162/11 - 14*m**2 - 98/11*m**3 = 0.
-9/7, 1
Let f(n) be the second derivative of -n**7/21 + 4*n**5/5 - 16*n**3/3 - 2*n + 43. Let f(u) = 0. What is u?
-2, 0, 2
Let a(z) = 2*z. Let h be a(1). Factor -u**h - 4*u + 2*u**2 + u + 1 - 5*u**2.
-(u + 1)*(4*u - 1)
Let r(l) be the first derivative of -2*l**5/35 - 25*l**4/14 - 144*l**3/7 - 704*l**2/7 - 1024*l/7 - 4. Find i such that r(i) = 0.
-8, -1
Suppose 0 = 11*g - 4*g - 21. Let m(a) be the first derivative of 0*a - 1/4*a**2 + 1/12*a**g + 5 - 1/20*a**5 + 1/8*a**4. Factor m(x).
-x*(x - 2)*(x - 1)*(x + 1)/4
Let t = -39971/6 + 6663. Determine b so that -1/2*b**5 + 1/6*b**2 + 0 + t*b**4 + 0*b - 5/6*b**3 = 0.
0, 1/3, 1
Factor 29 + 55*p + 21 + 74*p**2 - 20*p**2 - 27*p**2 - 22*p**2.
5*(p + 1)*(p + 10)
Let j = 781/2 + -390. Let k(h) be the first derivative of 1/4*h**4 - 2/3*h**3 - 4 + 2*h - j*h**2. Factor k(m).
(m - 2)*(m - 1)*(m + 1)
Let j(n) be the second derivative of -n**4/4 + 4*n**3 - 45*n**2/2 + 37*n. Factor j(y).
-3*(y - 5)*(y - 3)
Let m = -537 + 540. Let q(t) be the first derivative of 3*t - 3/4*t**4 - 9/2*t**2 + 3*t**m + 7. Find g such that q(g) = 0.
1
Let m = 109 - 88. Factor -20 + 29*d**2 + m - 30*d**2.
-(d - 1)*(d + 1)
Factor -1/2*x**4 - 51/2*x**2 - 17*x - 29/2*x**3 + 3/2*x**5 - 4.
(x - 4)*(x + 1)**3*(3*x + 2)/2
Factor -49/2*j + 0 + 7*j**2 - 1/2*j**3.
-j*(j - 7)**2/2
Let o(y) = 222*y - 11. Let s be o(6). Suppose 1321 + 45*v - s - 5*v**3 = 0. Calculate v.
-3, 0, 3
Let d be 1/(-9 - -39) + (-6)/(-45). Let x(v) be the first derivative of 0*v**5 + 1/24*v**6 - 9 + 1/2*v - 1/4*v**4 + 3/8*v**2 - d*v**3. Factor x(j).
(j - 2)*(j - 1)*(j + 1)**3/4
Let c(x) be the third derivative of -x**6/420 - x**5/42 + x**4/6 + 16*x**2. Factor c(b).
-2*b*(b - 2)*(b + 7)/7
Let v = -47 + 48. Let a be 5 + v - (2 - -1). Solve -1/5*t + 3/5*t**2 + 0 - 3/5*t**a + 1/5*t**4 = 0 for t.
0, 1
Let i(l) be the second derivative of -1/20*l**4 - 1/150*l**6 + 3/100*l**5 + 1/30*l**3 + 24*l + 0*l**2 + 0. Factor i(j).
-j*(j - 1)**3/5
Let o(d) be the second derivative of 1/3*d**4 + 0 - 10/3*d**3 + 1/5*d**5 + 22*d + 6*d**2. What is w in o(w) = 0?
-3, 1
Let z(g) be the third derivative of 1/960*g**6 + 0*g - 1/480*g**5 + 0 - 9*g**2 + 0*g**4 + 0*g**3. Factor z(m).
m**2*(m - 1)/8
Determine y, given that -14/11*y**4 - 46/11*y - 28/11 + 162/11*y**2 - 74/11*y**3 = 0.
-7, -2/7, 1
Suppose 19/2*m - 1/2*m**2 - 9 = 0. Calculate m.
1, 18
Let x = 452/337 - 8/1011. Determine o so that -x*o - 4/3 - 1/3*o**2 = 0.
-2
Factor -5/4*p**2 + 45/4*p + 0.
-5*p*(p - 9)/4
Suppose 2*r - 4*w - 1 = -3, w + 22 = 3*r. Let 15*h**3 + 35 - 12*h**3 - r*h**2 - 23 = 0. What is h?
-1, 2
Let v be 61/36 - 5/4. Let b(z) be the first derivative of 1 - v*z**3 + 0*z**4 + 0*z - 1/9*z**6 + 4/15*z**5 + 1/3*z**2. Let b(r) = 0. Calculate r.
-1, 0, 1
Let a(y) be the third derivative of y**7/168 + y**6/36 - 5*y**3/3 - 28*y**2. Let d(g) be the first derivative of a(g). Let d(m) = 0. Calculate m.
-2, 0
Let p(i) be the third derivative of -i**8/5040 - i**7/315 - i**6/60 + 3*i**4/8 + i**3/3 - 14*i**2. Let f(b) be the first derivative of p(b). Factor f(x).
-(x - 1)*(x + 3)**3/3
Let r(o) be the second derivative of -3/20*o**5 - 1/3*o**3 + 0 - 1/30*o**6 + 0*o**2 - 3*o + 5/12*o**4 + 1/42*o**7. Suppose r(h) = 0. Calculate h.
-2, 0, 1
Let b(y) be the second derivative of 0*y**2 - 1/84*y**7 + 2*y + 1/3*y**3 + 1/15*y**6 + 0 - 1/6*y**4 - 3/40*y**5. Let b(c) = 0. Calculate c.
-1, 0, 1, 2
Suppose -18*s**4 - 2*s**5 - 2*s + 52*s**3 + 4*s + 72*s**2 + 14*s - 12*s**5 = 0. Calculate s.
-2, -1, -2/7, 0, 2
Solve 2*z**3 - 2 - 65*z + 12 + 63*z - 16*z**2 + 6*z**2 = 0.
-1, 1, 5
Suppose 2*l - 4*l = 4*r + 4, 0 = -5*l - 2*r + 30. Let w(j) = j**2 + 12*j - 8. Let t(d) = 2*d**2 + 18*d - 12. Let y(q) = l*w(q) - 5*t(q). Factor y(b).
-2*(b - 2)*(b - 1)
Suppose 3*p + 30 = -3*p. Let l(v) = 2*v**2 - 21*v + 37. Let u(f) = 3*f**2 - 31*f + 55. Let x(q) = p*u(q) + 7*l(q). Determine i, given that x(i) = 0.
4
Suppose 0 = 3*d - 22 + 7. Factor 3*v**2 - 2*v**3 + 5*v**3 + 3*v**d - 3*v**4 - 6*v**3.
3*v**2*(v - 1)**2*(v + 1)
Suppose 34*q - 32*q = 4. Suppose -10 = 3*t + q*i, -4*i - 5 = -2*t - 3*i. Find n such that 1/2*n**3 - 1/2*n + 0 + t*n**2 = 0.
-1, 0, 1
Suppose 195*w = 99*w + 101*w. Solve w - 4/3*g - 2/3*g**2 = 0.
-2, 0
Let o be (658/35 + -17)*(-10)/(-3). Let f(a) be the first derivative of 0*a**2 + 27/14*a**4 - 18/7*a**3 + o + 1/21*a**6 + 0*a - 18/35*a**5. Factor f(p).
2*p**2*(p - 3)**3/7
Let o(q) = -q**3 - 2*q**2 + 20*q + 29. Let f be o(-5). Factor 2/5*p**2 + 4/5*p - 4/5*p**3 + 0 - 2/5*p**f.
-2*p*(p - 1)*(p + 1)*(p + 2)/5
Let y(o) be the second derivative of 1/2*o**4 - 21/20*o**5 + 7/2*o**3 - 3*o**2 - 3*o + 0. Factor y(z).
-3*(z - 1)*(z + 1)*(7*z - 2)
Let d(s) be the second derivative of s**4/12 - 5*s**3/18 - 2*s**2 - s + 60. Factor d(i).
(i - 3)*(3*i + 4)/3
Suppose 83*o = -80 + 246. Let l(f) be the first derivative of -11 - 20/3*f**3 + 4*f**4 + o*f**2 + 0*f. Factor l(q).
4*q*(q - 1)*(4*q - 1)
Let b be (-20)/(-39) + (-102)/153 + 92/260. Suppose 1/5*m**4 + 1/5*m + 0 - 1/5*m**2 - b*m**3 = 0. What is m?
-1, 0, 1
Let v(h) = 8*h**2 + 137*h + 111. Let x(t) = -2*t**2 - 34*t - 28. Let i(o) = -4*v(o) - 18*x(o). Factor i(a).
4*(a + 1)*(a + 15)
Let j = -5060 - -5063. Factor 0*u + 8/25*u**2 + 0 + 2/25*u**j.
2*u**2*(u + 4)/25
Suppose 8*n + s - 70 = 3*n, 0 = -3*n + 2*s + 29. Suppose 0 = -3*f - 7 + n. Solve 0 - 16/3*g - 16/3*g**f + 28/3*g**3 - 8/3*g**4 = 0 for g.
-1/2, 0, 2
Let t(y) = 25*y**3 - 23*y**2 - 37*y + 19. Let w(b) = -201*b**3 + 186*b**2 + 297*b - 150. Let g(d) = 33