*n**4 + n**2 + b*n**3 + 0 - 6*n. Let z(p) = 0. Calculate p.
-2
Let b(q) = -5*q**3 + 21*q**2 - 60*q + 53. Let n(p) = -9*p**3 + 43*p**2 - 126*p + 107. Let m(c) = 5*b(c) - 3*n(c). Determine u, given that m(u) = 0.
1, 4, 7
Factor 0 - 16/3*o + 7/6*o**4 - 41/3*o**2 + 107/6*o**3.
o*(o - 1)*(o + 16)*(7*o + 2)/6
Suppose j = -2*n, -1 = 9*n - 8*n. Let v(m) be the first derivative of 16/15*m**3 + 4 + j*m**2 + 4/5*m. Find i such that v(i) = 0.
-1, -1/4
Factor 143*s**2 + 42*s + 102 - 140*s**2 + 45.
3*(s + 7)**2
Let p be 13 - 3/7*7*1. Factor -24*d - 8*d**2 + 6*d + p*d**3 + 2*d**2 - 2*d**4.
-2*d*(d - 3)**2*(d + 1)
Let v(l) be the second derivative of 2*l**6/3 - 25*l**5/4 + 35*l**4/2 - 125*l**3/6 + 10*l**2 - 10*l - 2. Factor v(o).
5*(o - 4)*(o - 1)**2*(4*o - 1)
Let d(x) be the second derivative of -x**8/336 - 5*x**7/168 - x**6/24 + 3*x**5/8 + 17*x**3/6 - 37*x. Let n(g) be the second derivative of d(g). Factor n(l).
-5*l*(l - 1)*(l + 3)**2
Let r = 3885 - 11654/3. Factor -4/3 + 4/3*n - r*n**2.
-(n - 2)**2/3
Determine b so that -16/7*b + 2/7*b**2 + 30/7 = 0.
3, 5
Let y(t) = -t + 30. Let j be y(18). Let 42*h**2 + 3*h**5 + 5*h**3 - j*h**4 - 28*h + 0*h**3 - 32*h + 24 - 2*h**3 = 0. Calculate h.
-2, 1, 2
Let t(f) = 16*f**4 + 7*f**3 - 33*f**2 + 45*f. Let o(x) = 7*x**4 + 4*x**3 - 17*x**2 + 22*x. Let i(p) = 9*o(p) - 4*t(p). Factor i(m).
-m*(m - 3)**2*(m - 2)
Let a(u) = -5*u - 11. Let v be a(-3). Let o(f) = 32*f**2 + 63*f - 16. Let y(t) = 16*t**2 + 32*t - 8. Let n(p) = v*o(p) - 7*y(p). Factor n(h).
4*(h + 2)*(4*h - 1)
Let f = 35 + -32. Suppose -2*x - f*g = x - 12, 0 = 5*x - 5*g + 20. What is o in 0 + 1/5*o**3 + 0*o + 1/5*o**4 + x*o**2 = 0?
-1, 0
Let i(k) = 6*k**5 - k**3 + 9*k**2 + 7. Let z(l) = l**5 + l**4 + l**3 - l**2 + 1. Let c(v) = i(v) - 7*z(v). Suppose c(b) = 0. Calculate b.
-4, 0, 1
Suppose -15*c + 20*c = 10. Let q(h) be the third derivative of 0 + 0*h - 1/30*h**6 + 7/24*h**4 - 5*h**c - 1/3*h**3 - 1/15*h**5. Factor q(y).
-(y + 2)*(2*y - 1)**2
Let p(s) = -2*s**3 - s**2 - 8. Let w be p(0). Let j be (-14 - w)*(-1)/2. Solve -1/3*k**j + 0 - 1/3*k + 2/3*k**2 = 0.
0, 1
Factor 1/3*k**2 - 8/3 + 2/3*k.
(k - 2)*(k + 4)/3
Let y(o) be the third derivative of 1/15*o**5 - 2/3*o**3 - 17*o**2 + 0 + 0*o**4 + 0*o. Factor y(n).
4*(n - 1)*(n + 1)
Let a be ((-6)/(-4))/((-6)/(-8)). Suppose 3*p + 0*f = 3*f, a*p - 20 = -3*f. Factor -6*u**2 - 2*u - p - 4*u**3 + 2*u + 6.
-2*(u + 1)**2*(2*u - 1)
Let w be -25*(-2)/(-70)*(-6)/5. Factor w + 2*d + 2/7*d**3 + 10/7*d**2.
2*(d + 1)**2*(d + 3)/7
Determine g so that -4/7*g**3 + 0*g + 0 + 4/7*g**2 = 0.
0, 1
Factor -1/8*u**4 + 6*u**3 - 6*u - 23/4*u**2 + 47/8.
-(u - 47)*(u - 1)**2*(u + 1)/8
What is q in 0 + 3/8*q**2 + 3/4*q = 0?
-2, 0
Let m = 114 - 107. Let z(f) = 6*f**3 - 30*f**2 + 75*f. Let b(l) = -13*l**3 + 60*l**2 - 150*l. Let s(u) = m*z(u) + 3*b(u). Determine j, given that s(j) = 0.
0, 5
Let d(i) be the third derivative of i**8/336 + i**7/105 - 146*i**2. Factor d(s).
s**4*(s + 2)
Let d(f) = -2*f. Let p be d(0). Let b be (3 - 1/1) + p. Factor -3*x**2 + b - 6 + 1 - 3 + 9*x.
-3*(x - 2)*(x - 1)
Let t = 331 - 331. Let n(g) be the third derivative of t - 2*g**2 - 1/630*g**7 + 0*g**3 - 1/72*g**4 + 1/360*g**6 + 1/180*g**5 + 0*g. Factor n(i).
-i*(i - 1)**2*(i + 1)/3
Determine p, given that -6321*p + 5*p**4 + 6321*p - p**5 + 3*p**2 - 7*p**3 = 0.
0, 1, 3
Let c(a) be the third derivative of -1/225*a**5 + 1/2520*a**8 + 0 + 0*a**4 + 0*a**3 + 0*a - 1/300*a**6 + 0*a**7 - 11*a**2. Factor c(k).
2*k**2*(k - 2)*(k + 1)**2/15
Let s = -1085 + 1087. Suppose -5 - 7 = -4*p. Factor -3*d**s + 6*d**2 - 3*d**4 + p*d - 3*d.
-3*d**2*(d - 1)*(d + 1)
Let t(c) be the first derivative of -c**6/6 - 8*c**5/15 - 7*c**4/12 - 2*c**3/9 - 478. Factor t(p).
-p**2*(p + 1)**2*(3*p + 2)/3
Let r(o) = -14*o**5 + 75*o**4 - 139*o**3 + 92*o**2 + 8*o - 27. Let y(j) = j**4 - j**3 - 2*j + 3. Let h(a) = 2*r(a) + 10*y(a). Solve h(v) = 0 for v.
-2/7, 1, 3
Let f(i) = i**2 + 2*i - 6. Let m be f(3). Suppose -7 + m = v. Factor 1/2*w**v - 1/2 + 0*w.
(w - 1)*(w + 1)/2
Let m(z) be the first derivative of 2*z**5/25 + 11*z**4/10 + 64*z**3/15 + 28*z**2/5 - 92. Factor m(x).
2*x*(x + 2)**2*(x + 7)/5
Let v(j) = -20*j**2 - 4*j + 24. Suppose 0 = -6*h + 29 + 1. Let x(q) = 0 - 5 + h*q - 4*q + 4*q**2. Let k(f) = 3*v(f) + 16*x(f). Factor k(p).
4*(p - 1)*(p + 2)
Let r be 352036/93*((-3)/(-10))/(-1). Let f = r - -1141. Find g such that f*g + 6/5 - 33/5*g**2 = 0.
-2/11, 1
Let q be ((-32)/(-20))/1 + 2/5. Let -39*m**2 - 28*m**q + 12 - 3*m**3 + 58*m**2 = 0. What is m?
-2, 1
Let g = -11 - -7. Let p(s) = 132*s**3 - 1540*s**2 + 8192*s - 16384. Let n(u) = u**4 + u**3 - u**2. Let l(q) = g*n(q) + p(q). Factor l(m).
-4*(m - 8)**4
Let b = 1897 - 7587/4. Solve 1/4*x**3 + 1/4*x**2 - 1/4*x + 0 - b*x**4 = 0 for x.
-1, 0, 1
Let n(r) be the first derivative of r**6/1080 - 7*r**5/90 + 49*r**4/18 + 32*r**3/3 - r + 11. Let j(t) be the third derivative of n(t). Factor j(a).
(a - 14)**2/3
Let q = -309 - -311. Let s(d) be the first derivative of -2/15*d**6 - q - 4/5*d - 4/5*d**5 - 2*d**2 - 2*d**4 - 8/3*d**3. Factor s(j).
-4*(j + 1)**5/5
Solve -12/5*m**4 - 2/5*m**5 - 2/5*m + 24/5*m**2 + 4/5*m**3 - 12/5 = 0.
-6, -1, 1
Let b = -44 - -47. Solve -130*h**b - 20*h + 105*h**3 - 49*h**4 + 80*h**2 - 76*h**4 = 0 for h.
-1, 0, 2/5
Factor 1 + 2*f**4 - 2*f - 61*f**3 + 63*f**3 - 3*f**4.
-(f - 1)**3*(f + 1)
Let s be 2*(-246)/(-20) - (-24)/(-40). Factor 20 - 48 + 8*j + s - 4*j**2.
-4*(j - 1)**2
Find w such that -94*w + 12*w**2 + 82 - 88*w**3 + 185*w + 94 + 181*w - 2*w**4 - 2*w**4 = 0.
-22, -1, 2
Suppose -i + 1 = -3*a, -i + 2*i + 4*a - 8 = 0. Factor 4*u**2 + 2*u**5 - u**i - 3*u**4 + 10*u - 12*u.
2*u*(u - 1)**3*(u + 1)
Let v(n) = -5*n**2 - 6*n + 2. Let r = -29 + -1. Let b(j) = -j**2 - j + 1. Let z(m) = r*b(m) + 5*v(m). Factor z(d).
5*(d - 2)*(d + 2)
Let -10/7*o**2 + 4/7*o**3 + 2/7*o + 4/7 = 0. What is o?
-1/2, 1, 2
Suppose 11 = 2*v + 4*r - 3*r, 0 = -2*v - 3*r + 17. Factor -2*o**3 + 5*o**3 + 3*o + 2*o**2 + v*o**2.
3*o*(o + 1)**2
Let k be (-1 - (-2)/3) + (-880)/(-264). Factor -18*z + 3*z**k - 6 + 41*z - 32*z.
3*(z - 2)*(z + 1)**2
Let v(k) = -k**3 - 8*k**2 + k + 40. Let f be v(-6). Let z be f/(-88) + (1 - 65/55). Factor 0 + 1/2*w**2 - z*w**3 - 1/4*w.
-w*(w - 1)**2/4
Let h = 23943 + -23941. Factor 0 + 5/4*o**3 + o**4 + 1/4*o**h + 0*o.
o**2*(o + 1)*(4*o + 1)/4
Let i(f) be the first derivative of -f**4/40 - 4*f**3/3 - 20*f**2 + 98. Factor i(l).
-l*(l + 20)**2/10
Let h(p) be the second derivative of 1/12*p**4 + 0*p**2 + 0 - 1/20*p**5 + 7*p + 0*p**3. Factor h(j).
-j**2*(j - 1)
Let u(p) be the third derivative of 1/180*p**6 + 1/3*p**3 + 1/90*p**5 + 0*p - 5/36*p**4 + 0 + 4*p**2. Find f, given that u(f) = 0.
-3, 1
Let s(z) be the first derivative of 0*z + 9/2*z**2 + 1/4*z**4 + 2 + 2*z**3. Determine n, given that s(n) = 0.
-3, 0
Factor -73/3*j + 25/3*j**2 - 2.
(j - 3)*(25*j + 2)/3
Let o be (-1 - 0)*-4 + 14. Let n = 24 - o. Factor 20*v**2 + 3*v**3 + 32*v + v**3 + 0*v**3 + 22 - n.
4*(v + 1)*(v + 2)**2
Let s = 39 - -45. Factor -147*i**4 + s*i**4 + 4*i**5 - 16*i**2 + 75*i**4.
4*i**2*(i - 1)*(i + 2)**2
Let s(b) be the first derivative of -5 + 4*b - 1/45*b**3 + 2/15*b**2 + 1/150*b**5 - 1/45*b**4. Let h(a) be the first derivative of s(a). What is d in h(d) = 0?
-1, 1, 2
Let i(x) be the third derivative of x**5/60 + x**4/3 + 5*x**3/2 - 3*x**2 - 25*x. Let i(h) = 0. Calculate h.
-5, -3
Let p be (0 + (0 - 9))/(-1 - 4). Let l(i) be the first derivative of -i**6 + 4*i**3 + 3/2*i**4 + 5 + 0*i**2 - 3*i - p*i**5. Find s such that l(s) = 0.
-1, 1/2, 1
Let b(s) be the first derivative of -1/4*s**2 + 7/24*s**3 - 1/16*s**4 + 13 - 1/2*s. Solve b(h) = 0.
-1/2, 2
Let b(q) be the third derivative of -q**6/60 - 8*q**5/15 - 35*q**4/12 + 52*q**3/3 - 22*q**2 - 15*q. Determine h, given that b(h) = 0.
-13, -4, 1
Let u = 41/6 + -37/6. Let r = 812/17 - 2402/51. Find g, given that -u*g**2 + r + 0*g = 0.
-1, 1
Let l = -67 + 108. Let t = 41 - l. Factor 0*y**2 + t*y**4 - 2/3*y**3 + 1/3*y**5 + 1/3*y + 0.
y*(y - 1)**2*(y + 1)**2/3
Suppose 3*x = -2*f + 49, 2*f - 12 + 2 = 0. Let g = 16 - x. Let 2*h + h**g + 3*h - 7*h + h = 0. Calculate h.
-1, 0, 1
Let w be ((-2)/4 + -2)*-2. Suppose l = -0*l + w. Let -3*k**5 + 3*k**5 - k**l + 2*k**4 + k**3 - k**2 - k**4 = 0. What is k?
-1, 0, 1
Let i(s) be the second derivative of 