-14. Suppose -5*w = o - w - 49, o + w = b. Factor o*v**3 + 2*v**4 - 37*v**3 - 2*v**2.
2*v**2*(v - 1)*(v + 1)
Let f(h) be the third derivative of h**7/42 - h**6/8 - 23*h**5/12 - 55*h**4/8 - 35*h**3/3 - 2398*h**2. Suppose f(o) = 0. What is o?
-2, -1, 7
Let u(s) = 34*s**2 + 3*s - 1. Let w be u(1). Suppose 10*q = 14 + w. Solve 23*x**5 + 10*x - 46*x**3 - 25*x**4 + x**3 - 9*x**q + 21*x**5 + 25*x**2 = 0 for x.
-1, -2/7, 0, 1
Factor -2/19*j**3 + 216/19 - 20/19*j**2 + 6/19*j.
-2*(j - 3)*(j + 4)*(j + 9)/19
Factor -11*z + 45/4 - 1/4*z**2.
-(z - 1)*(z + 45)/4
Let m(c) be the third derivative of -c**5/60 + 155*c**4/24 + 157*c**3/3 - 3423*c**2. Factor m(z).
-(z - 157)*(z + 2)
Let q(b) = -3*b**3 + 417*b**2 + 43163*b - 43681. Let c(w) = -8*w**3 + 1251*w**2 + 129514*w - 131043. Let a(k) = 4*c(k) - 11*q(k). Find d, given that a(d) = 0.
-209, 1
Let y(a) be the first derivative of -1/10*a**5 - 9/8*a**4 + 76 - 3/2*a - 8/3*a**3 - 23/8*a**2 + 1/24*a**6. Factor y(f).
(f - 6)*(f + 1)**4/4
Let n be 10 - (0/3)/9. Suppose -n = -3*m - c, 4*c - 12 - 14 = -5*m. Factor -4/13 + 6/13*q - 2/13*q**m.
-2*(q - 2)*(q - 1)/13
Suppose 0 = -3*w - u + 325, -5*w + 2*w + 3*u + 321 = 0. Let i = w - 968/9. Find z, given that i*z**3 - 2/9*z**4 + 0 + 0*z + 0*z**2 = 0.
0, 2
Let f(w) be the second derivative of -w**4/4 + 8*w**3 - 90*w**2 + 1197*w. Factor f(c).
-3*(c - 10)*(c - 6)
Let z(t) be the third derivative of -t**5/45 - 7*t**4/6 + 464*t**3/9 - 2430*t**2. Factor z(l).
-4*(l - 8)*(l + 29)/3
Suppose -3*t + 2250 = 2*o, 2*t - 2250 = -t - o. Factor -3*f**4 - 2121*f + 23*f**3 - 46*f**3 + 3000 + 771*f - 810*f**2 - t*f - 64*f**3.
-3*(f - 1)*(f + 10)**3
Let n be 9/99 - (1 + (-690)/33). Let p be 8/n*(-15)/(-252)*7. What is m in 1/6*m**2 + 1/3*m + p = 0?
-1
Suppose -14*p - 116 + 116 = 0. Let g(m) be the second derivative of 5*m**4 + 19*m - 10/3*m**3 + p*m**2 - 3/4*m**5 + 0 - 5/6*m**6. Let g(i) = 0. What is i?
-2, 0, 2/5, 1
Factor -862*k**2 - 108*k**4 - 792*k**4 + 531*k**3 + 186*k**2 - 2091*k**3.
-4*k**2*(15*k + 13)**2
Let x be ((-6)/(-18))/(160/30). Let z(c) be the second derivative of 0*c**2 + 0 + 11*c + x*c**3 + 1/32*c**4. Factor z(f).
3*f*(f + 1)/8
Suppose y + 1 = 0, -2*u - 4*y + 0*y = -58. Let n = u - 31. Solve 1/2*a**2 + n + a = 0 for a.
-2, 0
Let 3885*w**3 + 42*w**4 + 5036*w + 5*w**5 + 30784*w - 23270*w**2 - 12304 - 282*w**4 - 3896 = 0. What is w?
1, 10, 18
Solve -384/7 + 4/7*c**2 + 184/7*c = 0 for c.
-48, 2
Let n(y) be the first derivative of y**5/20 + 7*y**4/16 + 2*y**3/3 - 2*y**2 + 591. Factor n(o).
o*(o - 1)*(o + 4)**2/4
Let o(v) = -v**3 + 7*v**2 - 5*v + 11. Let n be o(5). Let m be n/16*(-8)/(-6). Determine t, given that 4*t - 2*t**m - t - t = 0.
-1, 0, 1
Suppose -933*l + 935*l = -64. Let u be (-6)/7*(-56)/l - -3. Factor 3/8*z**3 + 0*z**2 + 0 + 0*z + u*z**4.
3*z**3*(4*z + 1)/8
Let r(k) = 11*k**2 + 421*k + 870. Let a(p) = 4*p**2 + 139*p + 289. Let o(f) = 24*a(f) - 9*r(f). Suppose o(y) = 0. What is y?
-149, -2
Let b be 3*(5 - 11)*(-40)/18. Let g be (12/(-10))/(b/(-50)). Suppose -1/4*r**5 - r**4 - 1/4*r + 0 - r**2 - g*r**3 = 0. Calculate r.
-1, 0
Let w(i) be the third derivative of i**2 + 9*i + 11/108*i**4 - 1/270*i**5 + 0 - 2/3*i**3. Suppose w(z) = 0. Calculate z.
2, 9
Solve 0 - 1425*w - 1/4*w**5 - 1165*w**2 + 1003/4*w**3 - 19/2*w**4 = 0 for w.
-57, -1, 0, 10
Let i(s) = s**3 + 23*s**2 + 35*s - 986. Let g be i(-18). Let d(x) be the second derivative of -3/16*x**g - 44*x + 0 + 3/4*x**2 + 1/8*x**3. Factor d(r).
-3*(r - 1)*(3*r + 2)/4
Factor 34/5*h - 152/5 + 1/5*h**2.
(h - 4)*(h + 38)/5
Let o(m) = m**3 - 10*m**2 + m - 12. Let t be o(10). Let p = t + 514. Find k such that -80*k**3 + 329*k - 8*k**4 + 4*k**5 - 170*k + p + 32*k**2 + 353*k = 0.
-2, 4
Let t(s) = -40*s + 29*s + 2 + 0*s**3 + 5*s**2 + 7*s**2 - s**3. Let y be t(11). Factor -16*p - 21*p**3 + 33*p**3 - 4*p**y - 4*p**4 + 4*p**2.
-4*p*(p - 2)**2*(p + 1)
Suppose 10 = -9*j + 11*j. Suppose -n = -j + 3. Determine u so that 2*u + 27*u**n + 3*u + u - 11*u**2 = 0.
-3/8, 0
Suppose -z + 31*z - 249804*z**2 + 249799*z**2 - 5*z**4 - 20*z**3 = 0. What is z?
-3, -2, 0, 1
Let j(r) be the second derivative of -24 + 1/28*r**4 - 2*r + 51/7*r**2 - 5/2*r**3. Suppose j(a) = 0. What is a?
1, 34
Let a(n) be the second derivative of n**6/35 - 159*n**5/70 + 52*n**4 - 676*n**3/7 - 25*n + 5. Factor a(f).
6*f*(f - 26)**2*(f - 1)/7
Let k(p) be the second derivative of -239/9*p**4 + 69*p + 157/6*p**5 + 12*p**3 + 121/63*p**7 - 176/15*p**6 - 8/3*p**2 + 0. Find w, given that k(w) = 0.
2/11, 1, 2
Let 0 - 2/5*n**5 - 184/5*n**4 + 548/5*n**2 + 6/5*n**3 - 368/5*n = 0. Calculate n.
-92, -2, 0, 1
Solve 1014*c**2 + 193 + 2*c**4 + 217 + 1974*c + 21*c**5 - 579*c**3 + 70 + 42*c - 38*c**4 = 0.
-5, -1, -2/7, 4
Let n(u) be the third derivative of u**5/70 + 135*u**4/14 + 17*u**2 + 2*u - 1. Factor n(c).
6*c*(c + 270)/7
Let g(s) = 19*s**2 - 26*s - 126. Let v(b) = -18*b**2 + 34*b**2 - 31 - 9*b - 10*b**2 - 11. Let x(p) = -6*g(p) + 17*v(p). Factor x(u).
-3*(u - 2)*(4*u + 7)
What is p in 2108/7*p**3 - 484/7*p**5 - 688/7*p + 880/7*p**4 - 32/7 - 3512/7*p**2 = 0?
-2, -1/11, 2
Let m be -6 + (-2 - (-15 - -4)). Factor -7*h**3 - 100 - 33*h**m + 96*h**2 - 6*h**4 + 40*h + 10*h**4.
4*(h - 5)**2*(h - 1)*(h + 1)
Let f(l) be the first derivative of -2*l**5/5 + 185*l**4/2 + 374*l**3/3 - 185*l**2 - 372*l - 6057. Suppose f(o) = 0. Calculate o.
-1, 1, 186
Factor 678/5*b + 1044/5 - 2/5*b**3 + 104/5*b**2.
-2*(b - 58)*(b + 3)**2/5
Let q(z) be the second derivative of -z**6/180 - 7*z**5/60 + z**4/72 + 7*z**3/18 + 10*z. Determine r so that q(r) = 0.
-14, -1, 0, 1
Let g(u) be the second derivative of u**6/3 + 17*u**5/10 - 13*u**4/2 + 7*u**3/3 + 10*u**2 + 768*u. Suppose g(f) = 0. What is f?
-5, -2/5, 1
Let g(k) be the second derivative of 2 - 18*k + 4/3*k**3 + 0*k**2 - 26/5*k**5 - 7/3*k**4 - 4/7*k**7 - 46/15*k**6. Find y such that g(y) = 0.
-2, -1, 0, 1/6
Let d(q) = -q**4 + 30*q**3 + 56*q**2 - 142*q - 127. Let f(z) = -10*z**3 - 19*z**2 + 48*z + 42. Let w(m) = 3*d(m) + 8*f(m). Solve w(i) = 0 for i.
-5/3, -1, 3
Let q(m) be the third derivative of -m**5/480 + 19*m**4/96 + 41*m**3/16 + 751*m**2. Solve q(y) = 0.
-3, 41
Let u(w) = 7*w**3 - 28*w**2 - 21*w - 68. Let y be u(5). Find v such that 0 + 3/4*v**y + 15/2*v = 0.
-10, 0
Let x(d) be the third derivative of -d**8/90720 - 13*d**7/2268 - 845*d**6/648 + 52*d**5/15 - 129*d**2. Let r(o) be the third derivative of x(o). Factor r(c).
-2*(c + 65)**2/9
Let p(z) = z + 16. Let h be p(-11). Let y(v) = -4*v + 24. Let l be y(h). Factor 3/7*q - 3/7*q**l - 3/7*q**3 + 0 + 3/7*q**2.
-3*q*(q - 1)*(q + 1)**2/7
Let 568/5*d**3 - 114*d + 572/5*d**2 + 2/5*d**5 - 572/5*d**4 + 0 = 0. What is d?
-1, 0, 1, 285
Let s = 330925 + -330923. What is x in 4/9*x**s - 4/3*x + 0 = 0?
0, 3
Let z(d) be the third derivative of -d**5/30 - 37*d**4/6 - 73*d**3/3 + 603*d**2. Find i, given that z(i) = 0.
-73, -1
Let m(f) be the first derivative of -2*f**2 - 12*f - 5/9*f**3 + 1 - 1/18*f**4. Let g(k) be the first derivative of m(k). Factor g(d).
-2*(d + 2)*(d + 3)/3
Let l(f) be the third derivative of -f**5/30 - 75*f**4/2 - 16875*f**3 + 12*f**2 - 50*f. Solve l(p) = 0 for p.
-225
Suppose 29*h - 210 = -h. Factor -a - 42 - 8*a - 3*a**2 - 39 - 20*a - h*a.
-3*(a + 3)*(a + 9)
Determine c, given that -231/2*c - 60*c**2 - 57 - 3/2*c**3 = 0.
-38, -1
Let a(d) be the second derivative of -2/3*d**3 + 1/90*d**6 - 11/6*d**2 - 33 + 1/5*d**5 + 2*d + 5/18*d**4. Factor a(s).
(s - 1)*(s + 1)**2*(s + 11)/3
Suppose 0 = 4*r + 3*j + 471, 4*j + 46 - 58 = 0. Let x be (-1)/4 - (-282)/r - -3. Suppose 1/5*a + 2/5*a**2 - 1/5*a**5 + 0*a**3 + 0 - x*a**4 = 0. Calculate a.
-1, 0, 1
Let g(s) be the first derivative of s**3/3 + 13*s**2/2 + 12*s + 3273. Factor g(i).
(i + 1)*(i + 12)
Let m(g) = -6*g**2 - 544*g - 571. Let l(s) = -s**2 - 109*s - 114. Let d(p) = -22*l(p) + 4*m(p). Determine u so that d(u) = 0.
-1, 112
Let c(d) be the first derivative of 2*d**3/39 + 18*d**2/13 - 230*d/13 + 7917. Factor c(m).
2*(m - 5)*(m + 23)/13
Let j = -7 - -12. Let i(y) = -10*y**3 - 55*y**2 - 20*y. Let t(d) = d**3 - d**2 - d. Let b(a) = j*t(a) - i(a). What is u in b(u) = 0?
-3, -1/3, 0
Let t be (3/(-1))/(1 - (-5)/(-2)). Suppose -t*x = -4*r + 2*x + 236, 5*r + 5*x - 335 = 0. Let 8*k - 27*k**3 - 24*k + r*k**3 + 24*k**2 + 10*k**4 = 0. What is k?
-2, 0, 2/5
Let t(q) = -24*