 0.
-4, 1
Let c(v) = v**2 - 405*v + 1 - v**3 - v**4 - v**2 + 406*v. Let b(h) = -10*h**4 - 6*h**3 + 7*h**2 + 14*h + 11. Let y(s) = 2*b(s) - 22*c(s). Factor y(d).
2*d*(d + 1)**2*(d + 3)
Let d(y) be the second derivative of -y**6/120 + y**5/20 + 5*y**4/24 - 7*y**3/6 + 15*y**2/8 - 1578*y. Find b such that d(b) = 0.
-3, 1, 5
Let r(t) = t**3 - 3*t**2 + 1. Let d(b) = -4*b**5 + 116*b**4 - 992*b**3 + 2224*b**2 - 1352*b + 4. Let o(x) = -d(x) + 4*r(x). Solve o(q) = 0 for q.
0, 1, 2, 13
Let r(y) be the first derivative of -y**5/5 + 8*y**4/3 - 40*y - 4. Let h(x) be the first derivative of r(x). Factor h(q).
-4*q**2*(q - 8)
Let s be ((-12)/15)/2*5. Let r be s/(-3) - 91/(-39). Factor -5*o + 2*o**2 - o**3 - r*o + 8*o.
-o**2*(o - 2)
Let v(d) be the first derivative of d**5/5 - 57*d**4/2 + 3673*d**3/3 - 12084*d**2 + 44944*d - 1964. Factor v(p).
(p - 53)**2*(p - 4)**2
Let v be (-3 + 1)/((-96)/224). Let t(i) be the first derivative of 64/9*i**3 + 8/3*i - 2/9*i**6 + 9 - 6*i**2 + 8/5*i**5 - v*i**4. Determine b so that t(b) = 0.
1, 2
Let g = -5 + 6. Let j be 8 + -10 - (-4)/g. Factor -3*l**2 + 1963*l - 1953*l - j*l**2.
-5*l*(l - 2)
Suppose -14*z + 103 - 47 = 0. Let o(p) be the second derivative of 1/6*p**5 + 1/18*p**z - 33*p + 0 - 1/45*p**6 + 0*p**2 - 5/9*p**3. Suppose o(b) = 0. What is b?
-1, 0, 1, 5
Let z be 98 + (-6556)/66 - 26/(-6). Factor 3*r - z + 9/4*r**2.
3*(r + 2)*(3*r - 2)/4
Let p(d) = -21*d**3 + 80*d**2 - 602*d - 1502. Let a(y) = 132*y**3 - 507*y**2 + 3813*y + 9513. Let j(u) = 10*a(u) + 63*p(u). Find f, given that j(f) = 0.
-14, -2, 6
Let a(k) be the third derivative of 0*k**5 + 0 + 1/3*k**3 + 0*k - 1/8*k**4 + 1/120*k**6 - 107*k**2. Determine i so that a(i) = 0.
-2, 1
Let a be (172/(-4))/((-2)/34). Find f, given that -3*f + f**3 + 2 - a*f**2 + 729*f**2 - 2 = 0.
-1, 0, 3
Let q(s) = 10*s. Let n be q(1). Let i(p) = -p**2 + 9*p + 12. Let o be i(n). Determine r, given that 27*r**2 - 26*r**o + 0*r - 3*r + 4*r = 0.
-1, 0
Suppose 8*i + 20 = 3*i. Let k(d) = 4*d**2 + 160*d - 640. Let a(r) = 3*r**2 + 80*r - 320. Let y(z) = i*k(z) + 7*a(z). Factor y(c).
5*(c - 8)**2
Let g = 1191/77366 + -4/383. Let p = 6453/2222 + g. Determine u, given that -2/11*u**2 - p*u - 128/11 = 0.
-8
Let j = -14/543 + 3386/19005. Let t = j - -18/35. Find x, given that -t*x**3 + 128/3 - 32*x + 8*x**2 = 0.
4
Let c(l) be the second derivative of 0 + 0*l**2 - 17*l + 1/20*l**5 - 5/6*l**4 + 3/2*l**3. Find a, given that c(a) = 0.
0, 1, 9
Suppose -1200*s = -997*s. Let f(b) be the second derivative of -11/70*b**7 + 0*b**3 - 1 - 3/50*b**5 + 13/50*b**6 + s*b**2 + 0*b**4 - 4*b. Factor f(y).
-3*y**3*(y - 1)*(11*y - 2)/5
Let w = -557103/5 - -111421. Find c such that -3/5*c**2 - w*c**3 + 0*c + 1/5*c**4 + 0 = 0.
-1, 0, 3
Factor 5/4*n**2 + 1166445/4 + 2415/2*n.
5*(n + 483)**2/4
Factor 148 + 514/7*a - 2/7*a**2.
-2*(a - 259)*(a + 2)/7
Let s(b) = 74*b**2 + 115*b + 43. Let f = -2 + 9. Let i(y) = -25*y**2 - 38*y - 14. Let k = 228 - 226. Let g(n) = f*i(n) + k*s(n). Let g(d) = 0. What is d?
-2/3
Let i be 23/((-5)/(-5)) - 2. Let z be (-6)/i - 16/(-7). Factor -24*y + 6 + 13*y**z + 6 + 8*y**2 - 3*y**3 - 6*y**2.
-3*(y - 2)**2*(y - 1)
Let g(k) be the first derivative of 2*k**5/5 - 15*k**4 - 42*k**3 - 32*k**2 + 1669. Factor g(w).
2*w*(w - 32)*(w + 1)**2
Let n(r) be the second derivative of 24/5*r**5 + 6 + 17/30*r**6 + 62/3*r**4 + 152/3*r**3 + 18*r + 1/42*r**7 + 72*r**2. Let n(y) = 0. What is y?
-9, -2
Let g = -24586 - -516307/21. Let u(y) be the second derivative of 1/5*y**5 + 0 + g*y**7 - 6*y - y**3 + 1/3*y**4 - 1/5*y**6 + y**2. Factor u(s).
2*(s - 1)**4*(s + 1)
Let i(c) be the second derivative of c**4/42 + 243*c**3/7 + 104*c**2 + 583*c. Determine w, given that i(w) = 0.
-728, -1
Let w(d) be the first derivative of -d**6/72 - d**5/2 - 15*d**4/2 - 20*d**3/3 - d**2 + 5. Let j(c) be the third derivative of w(c). Let j(l) = 0. What is l?
-6
Let i(b) be the first derivative of 2*b**7/105 - b**6/15 - b**5/5 + 41*b**2 + 84. Let u(r) be the second derivative of i(r). Determine n so that u(n) = 0.
-1, 0, 3
Let f(d) be the third derivative of -d**6/30 + 47*d**5/15 + 841*d**4/6 + 1586*d**3/3 + 19*d**2 - 33*d. Determine t so that f(t) = 0.
-13, -1, 61
Let f(i) be the second derivative of -i**7/126 + 5*i**6/54 + 4*i**5/45 - 74*i**4/27 - 56*i**3/9 + 8*i**2 - 3897*i. What is n in f(n) = 0?
-2, 1/3, 6
Let l(y) = 2*y**2 + 356*y - 16. Let d(t) = 3*t**2 + 356*t - 20. Let i(h) = 4*d(h) - 5*l(h). Factor i(k).
2*k*(k - 178)
Let g(r) = -25*r**2 + 31*r - 22. Let a(l) = -12*l**2 + 19*l - 15. Let j(o) = 14*a(o) - 6*g(o). Determine u, given that j(u) = 0.
13/9, 3
Let z be (-2)/(-4)*(8 + -8). Suppose -3*p - 3*w + 3 = z, -p + 7 + 6 = -5*w. Factor -6*x**4 - 22*x**3 - 2*x**2 + 12*x**p - 2*x**5 + 4*x**3.
-2*x**2*(x + 1)**3
Let s(r) be the second derivative of -r**8/10080 + r**7/3780 + r**6/216 + r**5/60 + 12*r**4 - 4*r + 3. Let y(k) be the third derivative of s(k). Factor y(g).
-2*(g - 3)*(g + 1)**2/3
Suppose -13*i = -68 + 3. Suppose -2*x - i*y = -19, 5*y + 3 = 6*y. Solve -12/7*n + 4/7*n**5 + 8/7*n**x + 8/7*n**3 + 4/7 - 12/7*n**4 = 0 for n.
-1, 1
Let w = 1993 + -1989. Let q(f) be the second derivative of 1/315*f**7 - 1/50*f**5 - 18*f + 1/90*f**w + 0 + 2/45*f**3 - 1/225*f**6 + 0*f**2. Solve q(t) = 0.
-1, 0, 1, 2
Let n be (-7 + (-5)/(-2))*(3 + (-93)/27). Factor 722/9 + 2/9*q**n + 76/9*q.
2*(q + 19)**2/9
Let x(j) = -j**4 + 36*j**3 + 25*j**2 + 8*j - 25. Let l(k) = 2*k**4 - 40*k**3 - 26*k**2 - 8*k + 30. Let d(n) = -5*l(n) - 6*x(n). Factor d(b).
-4*b*(b + 1)**2*(b + 2)
Suppose 3*g + 23 = b, 20 + 25 = 5*b - 5*g. Let u(d) be the first derivative of 0*d - 3/2*d**b + 2/3*d**3 + 37 + 1/4*d**4. Factor u(k).
k*(k - 1)*(k + 3)
Solve -16/3 - 50/3*p**3 + 2*p**5 + 10*p**2 + 10/3*p**4 + 20/3*p = 0 for p.
-4, -2/3, 1
Let r(c) be the second derivative of -2*c**7/35 + 73*c**6/50 - 393*c**5/50 + 349*c**4/20 - 92*c**3/5 + 42*c**2/5 + 470*c - 2. What is d in r(d) = 0?
1/4, 1, 2, 14
Let a(k) be the second derivative of -k**5/30 - 19*k**4/18 - 83*k**3/9 - 65*k**2/3 + 523*k. Find w, given that a(w) = 0.
-13, -5, -1
Let j be (-60)/(-68) + 1/1 - (-172)/1462. Let k(u) be the first derivative of 0*u - 4*u**j - 4*u**3 - 1 + 4/5*u**5 + 0*u**4. Solve k(d) = 0 for d.
-1, 0, 2
Let z(u) be the third derivative of -4/165*u**5 - 4/11*u**3 + 0*u + 19/132*u**4 + 0 - 88*u**2 + 1/660*u**6. Factor z(l).
2*(l - 4)*(l - 3)*(l - 1)/11
Let h(y) be the third derivative of y**8/336 + 13*y**7/1050 - 83*y**6/600 + 107*y**5/300 - 7*y**4/20 + 412*y**2. Suppose h(s) = 0. Calculate s.
-6, 0, 1, 7/5
Let j(i) be the third derivative of i**6/600 + 179*i**5/300 - i**4/120 - 179*i**3/30 + 2136*i**2. Find x such that j(x) = 0.
-179, -1, 1
Let m be (-81 - 7475/(-92))*8. Let 0*v + 13/4*v**m + 0 + 1/4*v**3 = 0. Calculate v.
-13, 0
Let t(f) = -36*f**2 + 21080*f - 5428820. Let w(s) = 7*s**2 - 4213*s + 1085764. Let g(o) = 3*t(o) + 16*w(o). Determine x, given that g(x) = 0.
521
Suppose 3729/4 + 3/4*x**2 + 93*x = 0. What is x?
-113, -11
Let i(q) be the first derivative of 86*q**6/3 - 512*q**5/5 + 40*q**4 + 520*q**3/3 - 166*q**2 - 8*q - 1130. Determine d so that i(d) = 0.
-1, -1/43, 1, 2
Let d be ((-14)/8)/(4900/1632 + -3). Let h = -4994/7 - d. Let 0 - h*b**2 - 4/7*b - 1/7*b**3 = 0. What is b?
-2, 0
Suppose 36 = 17*a - 83. Let f be (-220)/(-385)*a/2. Let -6/7 - 6/7*h**4 + 0*h + 0*h**3 + 12/7*h**f = 0. Calculate h.
-1, 1
Suppose -106*r - 4*k - 71 = -107*r, 21*r = -k + 46. Solve 7*y**2 - 5/2*y**4 + 0*y - 21*y**5 + 0 + 51/2*y**r = 0 for y.
-1, -2/7, 0, 7/6
Let t(h) be the first derivative of -3*h**5/25 - 24*h**4/5 - 233*h**3/5 + 399*h**2/5 - 13527. What is u in t(u) = 0?
-19, -14, 0, 1
Let w(u) = 9*u**4 - 31*u**3 - 32*u**2 + 125*u + 7. Let y(a) = 4*a**4 - 15*a**3 - 13*a**2 + 63*a + 3. Let b(m) = 6*w(m) - 14*y(m). Factor b(d).
-2*d*(d - 11)*(d - 3)*(d + 2)
Let w(o) = -7*o**2 - 13*o + 52. Let s be ((-3)/(-12))/((6/(-48))/1). Let t(k) = -120*k**2 - 220*k + 885. Let q(p) = s*t(p) + 35*w(p). Factor q(j).
-5*(j - 2)*(j + 5)
Let d(o) be the second derivative of -4/3*o**3 - 1/360*o**6 - 1/60*o**5 + 0*o**4 + 0*o**2 + 0 + 15*o. Let i(g) be the second derivative of d(g). Factor i(v).
-v*(v + 2)
Let h be 141/45 - 6/45. Factor 1999*r - 1989*r + 2*r**2 - 75 + h*r**2.
5*(r - 3)*(r + 5)
Determine s so that -1480*s - 5*s**2 + 280*s - 499