iven that u*k + 5/2*k**2 + 0 - 5/4*k**3 = 0.
-1, 0, 3
Let x(h) be the third derivative of -h**6/270 + 29*h**5/45 - 43*h**4/27 - 2091*h**2. Factor x(q).
-4*q*(q - 86)*(q - 1)/9
Let t(w) be the second derivative of 1/35*w**5 + 8/21*w**4 - 8/7*w**2 - 8/105*w**6 - 1/21*w**3 - 54*w + 0 - 1/147*w**7. Determine z so that t(z) = 0.
-8, -1, 1
Let p = -381 + 469. Determine l, given that -p*l - 22 + l**2 + 59*l + 50*l = 0.
-22, 1
Let j(o) be the second derivative of -31/6*o**6 + 58 - 5/42*o**7 - 1540/3*o**3 - 490*o**2 - 283/4*o**5 - 3365/12*o**4 - o. Factor j(l).
-5*(l + 1)**3*(l + 14)**2
Suppose -2*j = -117 - 29. Determine r, given that 76*r**3 - 2*r**5 + j*r**3 - 2*r**4 + 2*r**2 - 9*r + 5*r - 143*r**3 = 0.
-2, -1, 0, 1
Suppose -406*j = 283*j - 53*j - 1908. Solve 2/13 - 8/13*t**j - 8/13*t + 12/13*t**2 + 2/13*t**4 = 0 for t.
1
Let j(f) = 12*f**3 + 65*f**2 + 569*f + 537. Let b(d) = 10*d**3 + 66*d**2 + 572*d + 534. Let l(h) = 7*b(h) - 6*j(h). Factor l(z).
-2*(z - 43)*(z + 1)*(z + 6)
Let i be ((-5)/(105/(-9)))/((-11)/(-77)). Let l(o) be the first derivative of -16/3*o + 2*o**2 - 35 - 2/9*o**i. Factor l(n).
-2*(n - 4)*(n - 2)/3
Factor -204*o + o**2 - 5*o**2 - 64827 - 917*o + o**2 + 239*o.
-3*(o + 147)**2
Factor 60*i - 62*i**4 + 178*i**4 + 335*i**2 + 360*i - 121*i**4 - 90*i**3.
-5*i*(i - 4)*(i + 1)*(i + 21)
Factor -807/4*d**2 - 9/8 - 1623/8*d.
-3*(d + 1)*(538*d + 3)/8
Factor -111 + 55 - 132*v - 11 - 347 + 2*v**2.
2*(v - 69)*(v + 3)
Let u(h) be the first derivative of -89 + 196*h + 1/3*h**3 - 14*h**2. Suppose u(g) = 0. What is g?
14
Let k(t) be the second derivative of -t**7/42 + t**6/30 + t**5/10 + 1618*t. Factor k(l).
-l**3*(l - 2)*(l + 1)
Let x(y) be the first derivative of -22 + 2*y**4 - 2/5*y**5 + 4*y**2 - 2*y - 4*y**3. Suppose x(n) = 0. What is n?
1
Let d be (-48 + 27)*((-14)/6 - -2). Let o(w) = w**2 - 4*w - 21. Let h be o(d). Suppose -3/5*y**3 + h*y + 0 + 0*y**2 = 0. What is y?
0
Let o(x) be the third derivative of -2*x**7/35 - x**6/8 + 3*x**5/20 + 5*x**4/8 + x**3/2 + 821*x**2. Let o(a) = 0. Calculate a.
-1, -1/4, 1
Let b(v) be the second derivative of 0*v**2 + v + 0*v**3 - 2 + 0*v**4 - 2/7*v**7 - 7/10*v**6 - 9/20*v**5. Factor b(q).
-3*q**3*(q + 1)*(4*q + 3)
Let w(h) be the first derivative of 3/10*h**5 - 27/2*h**3 - 3*h**2 - 91 + 54*h - 9/4*h**4. Factor w(r).
3*(r - 9)*(r - 1)*(r + 2)**2/2
Let g = 4348 + -21738/5. Suppose 2/5*n**3 - 12/5*n - g*n**2 + 0 = 0. Calculate n.
-2, 0, 3
Let r(j) be the first derivative of -84 + 3/4*j + 3/8*j**2 - 3/8*j**4 - 1/2*j**3 + 3/20*j**5 + 1/8*j**6. Let r(z) = 0. Calculate z.
-1, 1
Let g(k) be the third derivative of k**8/784 + 53*k**7/490 - 83*k**6/140 + 4*k**5/5 + 932*k**2. Determine n so that g(n) = 0.
-56, 0, 1, 2
Let p(y) be the third derivative of 0*y + 2/9*y**3 + 0*y**5 + 79*y**2 + 1/6*y**4 + 0 - 2/45*y**6. Suppose p(r) = 0. Calculate r.
-1/2, 1
Let o be -102*(-5 + 4/1). Solve -42 - 13*s + o - 4*s**2 - 43*s = 0 for s.
-15, 1
Let o(h) be the second derivative of -h**4/48 - h**3/24 - 3563*h. Suppose o(s) = 0. Calculate s.
-1, 0
Let d(t) = t**2 - 5*t - 63. Let y be d(13). Determine m so that -25*m**3 - 6*m**4 + 16*m**4 - y*m**2 + 5*m**5 + 11*m**2 = 0.
-3, -1, 0, 2
Let w(c) = c**3 + 8*c**2 - 10*c - 7. Let n be w(-9). Find a such that 39*a**3 + a**4 + 2*a**4 + 48*a**n - 294 + 51*a**2 - 231*a = 0.
-7, -1, 2
Suppose -9 = -3*f + 3*y, y = -f - 0 + 1. Let h be f/(-18) - 147/(-189). Let 0 + h*w**2 + 4/3*w = 0. What is w?
-2, 0
Factor -7/2*i**4 + 0*i + 0 - 210*i**2 + 983/2*i**3.
-i**2*(i - 140)*(7*i - 3)/2
Suppose 0 = i - 14*i + 26. Suppose -9*x + 2*x**i + 0*x**2 + 11*x + 2*x = 0. What is x?
-2, 0
Suppose 2*d = -m, 4*d + 426*m - 422*m = -8. Factor 9/4*y + 3*y**3 + 0 - 39/4*y**d.
3*y*(y - 3)*(4*y - 1)/4
Factor 2*h**2 + 7*h**2 - 21*h**2 + 7*h**2 + 243 + 78*h + 4*h**2.
-(h - 81)*(h + 3)
Let 576 - 669*t**2 + 329*t**2 - 114*t + 343*t**2 = 0. Calculate t.
6, 32
Let m(p) be the third derivative of 0*p**3 + p**2 - 1/96*p**6 + 0 - 75*p + 0*p**4 - 1/240*p**7 + 1/2688*p**8 + 1/30*p**5. Suppose m(o) = 0. Calculate o.
-2, 0, 1, 8
Suppose -3*q - 6*z + 11*z + 26 = 0, 5*q = 5*z + 30. Determine o, given that -12*o - 35*o**2 + 27*o**2 + 11*o**q + 12 = 0.
2
Let h(z) be the second derivative of -z**7/168 - z**6/15 - z**5/20 + 13*z**4/24 + 37*z**3/24 + 7*z**2/4 + 2*z - 23. Suppose h(j) = 0. Calculate j.
-7, -1, 2
Suppose 5*a - 8*a + z = -19, 45 = 5*a - 5*z. Suppose a*x - 28 = -4*w + 33, -w - x = -14. Let -29 + w - 50*u - 4*u**2 + 26*u = 0. What is u?
-5, -1
Factor 6924/7*u - 3/7*u**2 + 6927/7.
-3*(u - 2309)*(u + 1)/7
What is s in 252 - 262/5*s + 2/5*s**2 = 0?
5, 126
Let d = -41 + 45. Let b(u) = 2*u**2 + 10*u + 6. Let k(i) = i**2 + 4*i + 3. Let t(c) = d*b(c) - 9*k(c). Solve t(o) = 0.
1, 3
Suppose 3/2*t**3 - 198 - 3/2*t + 18*t**2 = 0. What is t?
-11, -4, 3
Suppose 0 = 168*p - 161*p. Let m be 4 + 6/(-3) - p. Let 2/7*n**m + 0 - 4/7*n = 0. What is n?
0, 2
Let f(m) = m**2 - 2*m + 3. Let y(w) = -8*w - 36. Let g(s) = 2*f(s) + y(s). Let l be g(-2). Let 33/4*x**l - 39/4*x + 3/2 = 0. What is x?
2/11, 1
Let j = -41/4 + 131/12. Let w(k) be the third derivative of j*k**3 + 0 + 5/24*k**4 + 1/60*k**5 - 11*k**2 + 0*k. Factor w(n).
(n + 1)*(n + 4)
Let q(t) be the second derivative of 3*t**5/20 - 27*t**4/2 + 270*t**3 + 8100*t**2 - 1246*t + 1. Suppose q(b) = 0. Calculate b.
-6, 30
Let -1/2*u**3 + 72*u**2 - 143/2*u + 0 = 0. What is u?
0, 1, 143
Let x = -463577 - -463591. Find a, given that 210*a + 225/2 + 1/2*a**4 - x*a**3 + 83*a**2 = 0.
-1, 15
Factor -2/5*j**2 + 288/5*j - 10368/5.
-2*(j - 72)**2/5
Let z be ((-23)/(-1))/((-2)/4). Let q = z - -53. Factor 20 + 22*o - 57*o**2 + 52*o**2 - q*o.
-5*(o - 4)*(o + 1)
Suppose 0 = -498*a + 270*a + 286*a - 116. Factor -2/3*k**a + 8/3*k - 8/3.
-2*(k - 2)**2/3
Let 26245*h**2 + 96 - h - 26269*h**2 + 2*h**3 - 7*h = 0. Calculate h.
-2, 2, 12
Find i such that -2*i - 2/3*i**5 + 4*i**4 + 0 + 20/3*i**2 - 8*i**3 = 0.
0, 1, 3
Suppose -5*v - 3*i + 144 = -7*v, -4 = 2*i. Let j = -72 - v. Factor -10 - 7*n + 5*n**5 + 0*n**j + 20*n**3 + 20*n**4 - 10*n**2 - 5*n - 13*n.
5*(n - 1)*(n + 1)**3*(n + 2)
Suppose -v + 3692 = 4*i + 3683, -5*v + 11 = 3*i. Factor 7/3*m + 1/3*m**i + 4.
(m + 3)*(m + 4)/3
Let w(n) = 6*n**4 - 9*n**3 + 15*n - 3. Let o(b) = -b**4 - b**3 - b**2 - b + 1. Let u be (-2 - 5) + (7 - (-3)/(-1)). Let c(v) = u*o(v) - w(v). Factor c(x).
-3*x*(x - 4)*(x - 1)*(x + 1)
Let k(q) be the first derivative of -2*q**3/3 + 98*q**2 + 91. Determine f so that k(f) = 0.
0, 98
Let o = -58 - -53. Let t be (9/4 + -3)/(o/80). Factor 2*z**2 - 14*z + 12*z + 2*z**3 + 10*z**4 - t*z**4.
-2*z*(z - 1)**2*(z + 1)
Let y(t) = -7*t**2 - 157*t + 894. Let q(p) = -5*p**2 - 160*p + 890. Let r(b) = 6*q(b) - 5*y(b). Determine x so that r(x) = 0.
6, 29
Let t = 929/6946 - 1/302. Let p = t - -17/46. Factor 0 + p*g**2 + 0*g + g**3 + 1/2*g**4.
g**2*(g + 1)**2/2
Let h(k) = 32 + 43*k**2 - 14 - 24*k - 47*k**2 - 40. Let u(q) = -q**2 - q - 1. Let l(t) = 2*h(t) - 4*u(t). Suppose l(b) = 0. What is b?
-10, -1
Suppose -3 = -0*w - 3*w, -5*p - w = 899. Let u be (80/p)/(2/(-9)). What is q in -8/15*q - 8/15 - 2/15*q**u = 0?
-2
Suppose -3*n + 3*g = -12, -g - 105 + 97 = -3*n. Let v(m) be the first derivative of -8/5*m**n + 8 - 1/15*m**3 - 64/5*m. Determine l, given that v(l) = 0.
-8
Let w(i) be the first derivative of 2*i**3/3 + 609*i**2 - 8046. Factor w(l).
2*l*(l + 609)
Suppose 16*k + 3148 - 3228 = 0. Let d(f) be the first derivative of 0*f + 0*f**2 - 29 - 4/3*f**3 + 8/7*f**4 - 4/35*f**k. Factor d(r).
-4*r**2*(r - 7)*(r - 1)/7
Let x(d) be the first derivative of 5*d**6/6 - d**5 - 105*d**4/4 + 5*d**3/3 + 50*d**2 + 2057. Suppose x(c) = 0. What is c?
-4, -1, 0, 1, 5
Suppose 65 - 85 = 10*j. Let n be (j - -9 - 8)/(-3). Find r, given that 0*r**2 + r**4 + 0 - n*r**3 + 0*r + 4/3*r**5 = 0.
-1, 0, 1/4
Let b = 127 - 887/7. Suppose -69*x - 305*x = 329*x - 2109. Factor b*u**x - 8/7*u + 8/7 - 2/7*u**2.
2*(u - 2)*(u - 1)*(u + 2)/7
Suppose -t + 6 = 6*l - 22, 3*t = -2*l + 20. Factor 4/19*m**3 - 2/19*m**l + 2/19 + 0*m**2 - 4/19*m.
-2*(m - 1)**3*(m + 1)/19
Let v(l) be the first derivative of 0*l**2 - 151 + 56/3*l**3 + l**4 + 0*l. Factor v(n).
4*n**2*(n + 14)
Let k(w) be the first derivative of 13 + 3/2*w**2 - 2/9*w**3 + 1/180*w**5 + 0*w + 0*w**4. Let f(j) be the second derivative of k(j). Factor f(c).
(c 