-50 + r. Let t(n) = 5*n**2 + 12*n + 3. Let a(k) = 5*k**2 + 13*k + 2. Let b(g) = v*a(g) + 3*t(g). Factor b(l).
5*(l + 1)**2
Let q(k) be the first derivative of 3*k**4/20 + 4*k**3 + 1153. Factor q(a).
3*a**2*(a + 20)/5
Let z(t) = -3*t**4 - 7*t**3 - 25*t**2 - 46*t - 25. Let i(w) = 21*w**3 - 4*w**4 - 31*w**3 - 38*w**2 + 5*w - 74*w - 37. Let n(f) = 5*i(f) - 7*z(f). Factor n(h).
(h - 5)*(h + 1)**2*(h + 2)
Suppose 3185*x + 5265 = -4072*x + 36818 + 4732. What is f in 3*f**4 + 0 + 0*f - 2*f**3 - 12*f**2 + 1/2*f**x = 0?
-6, -2, 0, 2
Let o(m) = m**3 + 603*m**2 - 123631*m + 8365425. Let v(c) = c**3 - 3*c**2 - 2*c - 1. Let d(t) = -o(t) + 2*v(t). Let d(p) = 0. Calculate p.
203
Suppose 0 = -h + 2*z - 14, 16*z + 35 = -2*h + 21*z. Let v(p) be the first derivative of -3/5*p**4 + h*p + 18 - 8/5*p**2 - 2/25*p**5 - 8/5*p**3. Factor v(u).
-2*u*(u + 2)**3/5
Let x be ((-1080)/84 - -12)*70/2. Let l be x/(-12)*((-624)/(-270))/13. Determine i so that 2/9*i**2 - l*i**3 + 5/9*i - 1/9*i**5 - 4/9*i**4 + 2/9 = 0.
-2, -1, 1
Let z(j) = 9*j**4 - 6*j**3 - 9*j**2 - 12*j - 6. Let a = -72 - -71. Let s(y) = -y**4 + y**3 + y + 1. Let q(d) = a*z(d) - 6*s(d). Determine w so that q(w) = 0.
-1, 0, 2
Suppose -119*q - 26 = -61*q - 71*q. Solve -46/9*w + 28/9 - 2/9*w**3 + 20/9*w**q = 0 for w.
1, 2, 7
Let z = 2531/2 - 3796/3. Let p be (-4)/(-24)*(0 + 1). Determine l, given that -p*l**2 + 0 - z*l = 0.
-1, 0
Let z(w) be the first derivative of -3*w**4/4 + 5*w**3/2 - 3*w**2 + 55*w + 63. Let x(o) be the first derivative of z(o). Let x(b) = 0. Calculate b.
2/3, 1
Factor -192*b**3 + 7012 - 8362 + 197*b**3 + 1545*b - 200*b**2.
5*(b - 30)*(b - 9)*(b - 1)
Let o = -49 - -50. Suppose c - 3*j = 54 - o, 4*c - j - 223 = 0. Let 2*v**3 - 7*v + c*v**2 - 32*v**2 - 13*v - 6*v**3 = 0. What is v?
0, 1, 5
Let i(f) = 4*f**5 - f**3 + 2*f**2 + f + 1. Let r(n) = 17*n**5 - 6*n**4 - 12*n**3 + 74*n**2 + 11*n - 56. Let t(w) = -4*i(w) + r(w). Find p, given that t(p) = 0.
-3, -1, 1, 4, 5
Let a(x) = x**3 - 10*x**2 - 38*x - 23. Let c be a(13). Let n be 7/(-280)*c*1. Factor g**2 - g + n*g**3 + 0 - 1/4*g**4.
-g*(g - 2)*(g - 1)*(g + 2)/4
Let h = 187231 + -187228. Factor -2/3*l**h + 4/3 + 2*l + 0*l**2.
-2*(l - 2)*(l + 1)**2/3
Factor -29*h**3 - 2533*h**3 + 127*h**2 + 353*h**2 + 96*h + 2499*h**4.
3*h*(7*h - 4)**2*(17*h + 2)
Determine f, given that -3/2*f**2 + 3/2*f + 198 = 0.
-11, 12
Suppose -2*d = 5*f - 28, 2*f - 3*d = -5*d + 16. Factor -f + 56*p + 52*p - 4*p**2 - 116*p.
-4*(p + 1)**2
Let 68*w**2 - 36*w + 16*w**3 - 1085430*w**4 + 12*w**3 + 12*w + 1085378*w**4 + 12*w**5 = 0. What is w?
-1, 0, 1/3, 2, 3
Let j(f) = -5*f - 1. Let u be j(-1). Let p be -2 + -1 + 60/u. Factor -p*o**2 + 7*o**3 - 501 - 4*o + 501.
o*(o - 2)*(7*o + 2)
Let n(b) be the first derivative of -9/2*b**4 + 15*b**3 + 0*b - 3/5*b**5 - 34 - 12*b**2. Factor n(c).
-3*c*(c - 1)**2*(c + 8)
Find d, given that -1945*d**3 + 15*d**5 + 0*d**5 + 282*d**4 + 2385*d**2 + 1553*d - 76*d**4 + 877*d + 69*d**4 - 2160 = 0.
-24, -1, 2/3, 3
Let w(f) = 2*f**2 - 1789*f - 786766. Let h(i) = -3*i**2 + 1794*i + 786765. Let x(l) = -3*h(l) - 4*w(l). Factor x(m).
(m + 887)**2
Let m(p) be the third derivative of p**7/280 + p**6/30 - p**5/8 + 79*p**3/6 - 3*p**2 - 13. Let f(s) be the first derivative of m(s). Factor f(g).
3*g*(g - 1)*(g + 5)
Suppose 199*w - 198*w - 48 = 0. Determine g so that 278/3*g**2 + g**4 - 27 - 56/3*g**3 - w*g = 0.
-1/3, 1, 9
Let m be 7209 + -2*1 + -30 + 26. Factor -m*j - 833*j**2 + 18*j**3 - 117649 - 19*j**3 + 686*j**2.
-(j + 49)**3
Suppose -43*k = -37*k - 48. Factor -883 - 22*d + 18*d**2 + 881 - k*d + 14*d**2.
2*(d - 1)*(16*d + 1)
Let x(z) = 17*z**4 + 1140*z**3 + 3386*z**2 - 12*z - 4531. Let f(v) = 5*v**4 + 380*v**3 + 1129*v**2 - 4*v - 1510. Let l(k) = -7*f(k) + 2*x(k). Factor l(m).
-(m - 1)*(m + 2)**2*(m + 377)
Determine l so that 11*l + 17/2*l**2 - 1/2*l**5 + 4 - 1/2*l**3 - 5/2*l**4 = 0.
-4, -1, 2
Let f(r) be the second derivative of r**8/840 - r**6/45 + 157*r**3/6 - 15*r + 2. Let m(q) be the second derivative of f(q). Factor m(n).
2*n**2*(n - 2)*(n + 2)
Factor 2/9*w**2 + 416/9 + 68/9*w.
2*(w + 8)*(w + 26)/9
Suppose 3*i = -4*k - 31, 2*i + 74*k = 75*k + 16. What is g in 6/17 - 4/17*g**2 - 2/17*g**4 + 2/17*g**5 + 10/17*g - 12/17*g**i = 0?
-1, 1, 3
Let -3/5*f**4 + 33/5*f + 27/5*f**2 + 3/5*f**3 + 12/5 = 0. What is f?
-1, 4
Let g(m) = m - 3*m + 424 + m - 421 + 0*m. Let w(y) = -3*y**2 + 26*y - 33. Let p(o) = -5*g(o) - w(o). Solve p(j) = 0.
1, 6
Let q(z) be the first derivative of -2*z**3/27 - 32*z**2/9 + 22*z/3 - 6694. Find x such that q(x) = 0.
-33, 1
Let i(w) be the first derivative of w**7/840 - w**6/72 + w**5/30 - 170*w**3/3 + 4. Let o(u) be the third derivative of i(u). Factor o(v).
v*(v - 4)*(v - 1)
Let q(b) be the third derivative of -b**6/600 - 38*b**5/75 - 395*b**4/8 - 375*b**3 + 6*b**2 - 3*b - 84. Factor q(p).
-(p + 2)*(p + 75)**2/5
Let c(d) = 9*d**3 + 3165*d**2 + 627243*d + 1241903. Let s(l) = -8*l**3 - 3164*l**2 - 627244*l - 1241900. Let w(r) = -4*c(r) - 5*s(r). Factor w(n).
4*(n + 2)*(n + 394)**2
Let u(i) = 2*i**4 - 30*i**3 + 66*i**2 - 80*i + 22. Let c(g) = 2*g**3 + 2. Let s(j) = -5*c(j) - u(j). What is a in s(a) = 0?
1, 4
Let c(w) be the second derivative of -2/3*w**4 - 8*w**3 + 2/15*w**6 - 2 + 18*w**2 - 23*w + 4/5*w**5. Determine i, given that c(i) = 0.
-3, 1
Let k(n) = n**2 + n - 9. Let s be k(-4). Let p**3 + 8*p + 15*p**2 + p - 3*p**4 + 2*p**s = 0. What is p?
-1, 0, 3
Let p(n) be the third derivative of -n**8/168 - 31*n**7/105 + 5*n**6/3 - 34*n**5/15 - 2*n**2 - 2*n - 39. Determine o, given that p(o) = 0.
-34, 0, 1, 2
Let 0 - 1/5*y**3 + 64/5*y**2 - 1/5*y**4 + 64/5*y = 0. What is y?
-8, -1, 0, 8
Let k(u) = -111*u - 106*u + 212*u - 13*u**2 + 5 + 4*u**3. Let q(w) = 2*w**3 - 7*w**2 - 3*w + 3. Let g(v) = -6*k(v) + 10*q(v). Factor g(p).
-4*p**2*(p - 2)
Solve 13/4*n + 3 + 1/4*n**2 = 0.
-12, -1
Let k(t) be the first derivative of -t**5/30 + 5*t**4/6 - 41*t**3/6 + 44*t**2/3 + 160*t/3 - 301. Factor k(p).
-(p - 8)**2*(p - 5)*(p + 1)/6
Suppose 74*w - 79*w + 20 = 0. Factor 3*x**3 + x**5 - 11 + 4*x**2 + 25 - 4*x**4 - w*x - 14.
x*(x - 2)**2*(x - 1)*(x + 1)
Suppose -6*o - 14 = -2. Let k be -2*o/(-4) - -6. Factor 5*f**3 - k*f**4 - 10*f**2 + 22*f**3 - 12*f**3.
-5*f**2*(f - 2)*(f - 1)
Let x(d) = -3*d**2 + 63*d - 7. Let f(u) be the first derivative of u**3/3 - 21*u**2/2 + 2*u + 102. Let y(j) = -7*f(j) - 2*x(j). Factor y(r).
-r*(r - 21)
Let j(u) be the first derivative of -7/6*u**3 + 13/16*u**4 - 1/24*u**6 + 1/10*u**5 - 3*u**2 - 265 + 0*u. Suppose j(a) = 0. Calculate a.
-3, -1, 0, 2, 4
Let y(f) = -5*f**2 + 1371*f - 233940. Let s(g) = -g**2 + g - 4. Let j(v) = 3*s(v) - y(v). What is r in j(r) = 0?
342
Let n(c) be the first derivative of c**4/60 + 7*c**3/3 + 245*c**2/2 - 140*c + 32. Let l(m) be the first derivative of n(m). Find b such that l(b) = 0.
-35
Let o be 284/(-360) - ((-5 - -4) + (-3)/(-15)). Let t(z) be the second derivative of 0*z**3 + 18*z - o*z**4 + 0 + 1/15*z**2. Let t(v) = 0. What is v?
-1, 1
Suppose -j - 6*w = -3*w + 7, w + 2 = 0. Let z be ((-1)/(-3))/(j/30*-2). Factor z*u**2 - u**2 - 2*u - 4 - u - 3*u.
2*(u - 2)*(2*u + 1)
Let g(z) be the third derivative of z**6/450 - z**5/75 - z**4/10 + 2*z**3/3 - 4*z**2 - 7*z. Let f(o) be the first derivative of g(o). Factor f(x).
4*(x - 3)*(x + 1)/5
Let d(g) be the first derivative of -g**7/168 - 5*g**6/24 - g**3/3 + 49. Let i(k) be the third derivative of d(k). Determine m, given that i(m) = 0.
-15, 0
Let c = 120443 - 120441. Factor -90/7*k - 2/7*k**3 - 108/7 - 24/7*k**c.
-2*(k + 3)**2*(k + 6)/7
Suppose 46*k + 10*k = 336. Suppose -6*o + 3*o + 30 = 0. Let -k*u**3 - 747 - 27*u**2 + o*u**4 + 759 - u**4 = 0. What is u?
-1, 2/3, 2
Let b(f) be the first derivative of -f**4/20 + 23*f**3/15 + 13*f**2/5 - 48*f/5 - 27. Find i, given that b(i) = 0.
-2, 1, 24
Let c be (-2250)/100*(-8)/12. Let g(f) be the first derivative of 3/20*f**2 - 1/10*f - 1/10*f**3 + c + 1/40*f**4. Factor g(u).
(u - 1)**3/10
Factor 11541 - 44*a**2 - 480*a + 2859 + 48*a**2.
4*(a - 60)**2
Let t = 2402/47 - -21077/1128. Let b = -209/3 + t. Suppose 35/8*x**2 - 3/2*x + 3/2*x**3 - 9/2*x**4 + b = 0. Calculate x.
-1, 1/6, 1
Suppose 39*g + 444 + 16249*g**2 - 16247*g**2 + 187*g = 0. Calculate g.
-111, -2
Let v = 318 + -316. What is n in -30*n - 270 + 122 - v*n**3 - 18*n**2 + 1