*r**2 + 44/3 - k*r.
4*(r - 11)*(r - 1)/3
Let n(z) = -9*z**2 + 120*z - 375. Let t(s) = 17*s**2 - 239*s + 740. Let b(m) = -11*n(m) - 6*t(m). What is f in b(f) = 0?
3, 35
Suppose 0 = -11*o + 36*o - 100. Suppose 3*t**2 + 4*t - t**5 + 7*t**4 + 88*t**3 - 7*t**2 - 91*t**3 - 3*t**o = 0. Calculate t.
-1, 0, 1, 2
Let s(h) = -6*h**2 - 24*h. Let c(g) be the first derivative of -5*g**3/3 - 25*g**2/2 - 43. Let w(i) = -3*c(i) + 2*s(i). Suppose w(d) = 0. What is d?
-9, 0
Let b(j) be the first derivative of 12*j**3 - 4*j**4 - 27/2*j**2 - 129 + 27/4*j. Factor b(f).
-(4*f - 3)**3/4
Let g be (-9)/(-6)*(-2)/(-1). Let o = -106 - -109. Suppose -g*t - 9 - o*t + 0*t + 3*t**2 = 0. Calculate t.
-1, 3
Suppose -15*p = -9*p - 12. Let i(h) = h**3 + h**2 - h. Let g(l) = -2*l**3 - 18*l**2 - 34*l - 16. Let k(x) = p*i(x) - g(x). Suppose k(b) = 0. What is b?
-2, -1
Let m(y) be the second derivative of y**7/7560 - y**6/360 + y**5/45 + 9*y**4/4 - y**3/2 + 94*y. Let f(k) be the third derivative of m(k). What is z in f(z) = 0?
2, 4
Solve -6*d**4 + 0*d**4 + 100*d**2 + 34*d - 142*d**3 + 5*d**4 + 9*d**4 = 0.
-1/4, 0, 1, 17
Suppose 2*c - 2*c - 668*c**4 - 38*c**3 + 538*c**4 + 78*c**3 - 75*c**5 = 0. What is c?
-2, 0, 4/15
Let w = 56352 - 56350. What is x in -10/7*x - 2/7*x**3 + 8/7*x**w + 4/7 = 0?
1, 2
Let v(k) be the second derivative of 1/165*k**6 + 0 + 0*k**2 + 0*k**3 + 1/33*k**4 + 3/110*k**5 + 82*k. Factor v(x).
2*x**2*(x + 1)*(x + 2)/11
Suppose 8*l = 568 - 384. Let g be (805/14)/l + (-63)/30. Factor -g*m**2 - 2/5*m + 0.
-2*m*(m + 1)/5
Let j = 2368/1253 - -480/179. Suppose 0*f - 34/7*f**3 - j*f**2 + 0 - 2/7*f**4 = 0. Calculate f.
-16, -1, 0
Suppose 38*b = 41*b - 9. Factor 18*w - 9*w - 1 + 2*w**2 - b*w**2 - 7*w.
-(w - 1)**2
Let o(l) be the second derivative of -3/8*l**4 - 83*l + 3/5*l**5 + 0 - 2*l**3 + 9/4*l**2. Factor o(p).
3*(p - 1)*(p + 1)*(8*p - 3)/2
Let l(g) be the second derivative of -1/3*g**4 + 0 - 109*g - 3200*g**2 + 160/3*g**3. Let l(t) = 0. Calculate t.
40
Factor -2*h**3 - 46/3*h**2 - 56/3*h + 8.
-2*(h + 2)*(h + 6)*(3*h - 1)/3
Factor -14/3 + 4*w**3 + 2/9*w**4 + 124/9*w - 40/3*w**2.
2*(w - 1)**3*(w + 21)/9
Let v(b) be the third derivative of 2*b**7/105 - 14*b**6/15 + 77*b**5/15 - 25*b**4/3 - 9*b**2 + 17*b + 1. Factor v(c).
4*c*(c - 25)*(c - 2)*(c - 1)
Let s(b) be the first derivative of b**3 + 3*b**2 - 16*b - 37. Let r be s(-6). Factor 2 + 34*g**4 - 40*g**2 - r*g**4 + 5*g**5 - 12 - 10*g**3 + 32*g**4 - 35*g.
5*(g - 2)*(g + 1)**4
Let b be 8/(-68) - (448/(-85))/4. Find n such that 4/5*n**3 + 0 + 2/15*n**4 + 8/15*n + b*n**2 = 0.
-4, -1, 0
Let f(d) = -d**3 - 2*d**2 - d + 2. Let t(y) = 14*y**3 + 5922*y**2 + 5797746*y + 1899724150. Let n(h) = -12*f(h) - t(h). Factor n(z).
-2*(z + 983)**3
Let y(m) be the third derivative of -m**8/2240 + m**7/224 - m**6/120 - 9*m**3/2 - 46*m**2. Let r(l) be the first derivative of y(l). Find x such that r(x) = 0.
0, 1, 4
Suppose -140*z + 178 + 4862 = 0. Let g(j) be the first derivative of 2/3*j**3 + 2/5*j**5 + j**4 - z + 0*j**2 + 0*j. Solve g(i) = 0.
-1, 0
Let k = -902/9 - -101. Let x(s) be the first derivative of 0*s - k*s**3 + 1/3*s**2 + 7. Factor x(c).
-c*(7*c - 2)/3
Let r = -393109 + 4324205/11. Solve 2/11*k**2 - r*k - 4/11 + 2/11*k**4 + 6/11*k**3 = 0.
-2, -1, 1
Suppose 51*v - 42 = 315. Let n(j) be the second derivative of 0 + 2*j**3 + v*j**2 - 17*j - 1/6*j**4. Suppose n(t) = 0. What is t?
-1, 7
Let q(w) = 6*w**3 - 6*w**2 + 32*w - 28. Let h(y) = 7*y**3 - 4*y**2 + 32*y - 29. Let j(z) = 4*h(z) - 5*q(z). Factor j(s).
-2*(s - 3)*(s - 2)**2
Let z(o) be the second derivative of 0 + 126*o - 1/6*o**4 - 8/3*o**3 - 16*o**2. Factor z(m).
-2*(m + 4)**2
Find u, given that -118*u**3 + 662*u**4 - 472*u**4 - 200*u**4 + 82*u**2 + 6*u**5 + 40*u = 0.
-4, -1/3, 0, 1, 5
Let f(v) be the third derivative of v**5/120 - v**4/24 - 2*v**3 + 1168*v**2. Determine k so that f(k) = 0.
-4, 6
Factor -316*p**2 + 52*p**3 - 227*p - 308 - 56*p**3 - 393*p.
-4*(p + 1)**2*(p + 77)
Let s(c) be the second derivative of c**4/12 + 7*c**3/6 - 9*c**2 - 16*c - 7. What is i in s(i) = 0?
-9, 2
Let m(h) be the second derivative of -5*h**7/126 + 8*h**6/3 - 305*h**5/12 + 1895*h**4/18 - 230*h**3 + 820*h**2/3 - 2607*h. Let m(t) = 0. Calculate t.
1, 2, 41
Let a be (20 + (-1794)/91)*7. What is j in 18/11*j**a - 4/11 + 14/11*j = 0?
-1, 2/9
Factor -68375036 - 2925*j**2 - 124626*j**3 + 124629*j**3 - 34609339 + 950625*j.
3*(j - 325)**3
Let t(d) be the second derivative of 7*d**4/66 - 79*d**3/11 - 34*d**2/11 + 11*d - 77. Factor t(h).
2*(h - 34)*(7*h + 1)/11
Determine n, given that 1/3*n**2 - 2 + 5/3*n = 0.
-6, 1
Factor 87 - 4722*o**2 + 489*o + 681 - 87*o + 4*o**3 + 262*o + 4870*o**2.
4*(o + 2)*(o + 3)*(o + 32)
Let g(m) = 3*m + 1. Let r be g(6). Let i = r + -16. Factor 15 + i*q**3 - 13*q + 21*q + 15*q**2 + 16*q - 3.
3*(q + 1)*(q + 2)**2
Let q(p) be the third derivative of p**6/360 + 7*p**5/180 - 245*p**4/72 + 343*p**3/6 - 233*p**2. Let q(a) = 0. What is a?
-21, 7
Suppose -4*a - 81 = -5*v, 0 = -4*v + 61*a - 66*a + 73. Let k(f) be the first derivative of 5/3*f**3 - v + 0*f - 5/2*f**2. Determine r so that k(r) = 0.
0, 1
Let a be 2500/(-24) - (-3)/18. Let d be (a/(-78))/((-2)/(-3)). Factor 2*x**2 + 10*x - 3*x**2 + 30*x - 4*x**d.
-5*x*(x - 8)
Factor 1/8*l**2 + 0 - 1731/8*l.
l*(l - 1731)/8
Let q(r) be the third derivative of r**5/50 + 53*r**4/20 + 630*r**2 + 1. Factor q(j).
6*j*(j + 53)/5
Let f(x) = 2*x**3 - 7*x**2 - 7*x + 11. Let o be f(7). What is h in 10 - 5 + 10 + o*h - 303*h - h**2 = 0?
-3, 5
Let m(y) = y**2 + 67*y + 12. Let q(h) = 2*h - 1. Let u(s) = 35*s + 25. Let n(f) = -15*q(f) - u(f). Let a(p) = 5*m(p) + 6*n(p). Factor a(k).
5*k*(k - 11)
Let l(a) be the first derivative of -a**6/24 - a**5/6 + 19*a**2/2 - 117. Let q(w) be the second derivative of l(w). Determine r so that q(r) = 0.
-2, 0
Let g(p) be the first derivative of p**5/15 + 13*p**4/4 - 14*p**3 + 11337. Factor g(x).
x**2*(x - 3)*(x + 42)/3
Suppose -28*q + 7300 = -3*q. Factor 108*v - 36*v**2 - 46 - 62 + 151*v**3 - q*v**3 + 145*v**3.
4*(v - 3)**3
Let d(w) be the third derivative of 0 + 1/336*w**8 + 0*w**4 - 75*w**2 + 7/120*w**6 + 0*w**5 + 0*w**3 + 0*w + 4/105*w**7. Factor d(m).
m**3*(m + 1)*(m + 7)
Let a be (0 + 4)*((-42)/108)/((-770)/99). Factor 0*q + 0 + 2/5*q**2 - a*q**4 - 1/5*q**3.
-q**2*(q - 1)*(q + 2)/5
Let q(u) = 8*u**4 + 36*u**3 - 120*u**2 - 5188*u - 24000. Let s(f) = -15*f**4 - 72*f**3 + 240*f**2 + 10378*f + 48000. Let k(m) = 22*q(m) + 12*s(m). Factor k(o).
-4*(o - 12)*(o + 10)**3
Let j be (50/(-12000)*-656)/(3/70). Let -575/9*w + 482/9*w**2 - 529/9 + 47/9*w**4 + 1/9*w**5 + j*w**3 = 0. Calculate w.
-23, -1, 1
Factor -17/2*q**3 + 70*q + 4*q**2 - 96 + 1/2*q**4.
(q - 16)*(q - 2)**2*(q + 3)/2
Let -100/3*b**3 - 2/3*b**4 + 172*b + 102 + 112/3*b**2 = 0. Calculate b.
-51, -1, 3
Let w = -203699 + 611107/3. Determine y so that -11*y + w*y**2 - 1/3*y**3 + 12 = 0.
3, 4
Let s(x) be the first derivative of -x**4/4 + 8*x**3/3 + 4*x**2 + 9*x - 11. Let z be s(9). Let -2*v**2 - 3 - v**2 + 12 + z*v**2 + 6*v = 0. Calculate v.
-1, 3
Let m = 109 + -116. Let j(i) = -13*i**3 - 84*i**2 - 9*i + 19. Let g(q) = -27*q**3 - 169*q**2 - 19*q + 39. Let f(o) = m*j(o) + 3*g(o). Factor f(r).
(r + 8)*(2*r + 1)*(5*r - 2)
Let v be (-16)/(-28) + (-90)/(-63). Factor v*q**4 + q**5 - 159*q**2 + 159*q**2.
q**4*(q + 2)
Let t = 15 - 37. Let g = 25 + t. Factor 3 + 5 - g*v**2 - 5.
-3*(v - 1)*(v + 1)
Let v(x) be the second derivative of 17*x - 1/21*x**4 - 1152/7*x**2 - 32/7*x**3 + 2. Factor v(q).
-4*(q + 24)**2/7
Let 1/3*x**5 + 0 + 131/3*x**4 + 0*x - 134/3*x**3 - 88*x**2 = 0. What is x?
-132, -1, 0, 2
Let l(n) be the second derivative of n**5/330 - n**4/12 - 61*n**2/2 - 2*n + 9. Let p(x) be the first derivative of l(x). Solve p(u) = 0.
0, 11
Let t(x) be the first derivative of -x**6/30 + x**5/5 + 3*x**4/2 + 10*x**3/3 - 91*x**2/2 + 62. Let v(b) be the second derivative of t(b). Factor v(j).
-4*(j - 5)*(j + 1)**2
Suppose 5*f - 4*w = 56, -w - 16 = 3*f - 2. Factor f + 3/7*h**2 + 0*h**3 + 0*h - 3/7*h**4.
-3*h**2*(h - 1)*(h + 1)/7
Determine f, given that -200*f**3 + 284*f**5 + 281*f**5 + 396*f**4 - 557*f**5 = 0.
-50, 0, 1/2
Let h be (-808 - -808)/(-6 + -3). Let c be (-1)/((2/6)/(-1)). Factor h*x - 2/5*x**4 + 0*x**2 + 3/5*x**c + 0 - 1/5*x**5.
-x**3*(x - 1)*(x + 3)/5
Let m = -181037/13 + 139