9 = 5*r, u - 2 = -2*r + 4. Factor 2*s + u*s**4 + 2*s - 64*s**2 - 4*s**5 + 56*s**2.
-4*s*(s - 1)**3*(s + 1)
Let o = -60 - -68. Suppose 0 = n + o - 10. Factor 3*u**4 - n*u**4 - 15*u**3 + 4*u**4 - 5*u + 13*u**2 + 2*u**2.
5*u*(u - 1)**3
Let i be -2 + 208/28 - (-24)/(-56). Determine w, given that -4*w**4 + 8*w**i - 5*w**5 - w**5 = 0.
0, 2
Let z(a) be the first derivative of a**4/10 + 2*a**3/15 - a**2 + 6*a/5 - 307. Factor z(i).
2*(i - 1)**2*(i + 3)/5
Let x = -353/1070 + 199/214. Factor 18/5*b - 3 - x*b**2.
-3*(b - 5)*(b - 1)/5
Factor 1444*j**5 + 119*j**4 + 40*j - 124*j**4 + 20*j**2 - 30*j**3 - 1439*j**5.
5*j*(j - 2)**2*(j + 1)*(j + 2)
Solve 46323585*y - 46323585*y + 355*y**3 - 730*y**2 + 5*y**4 = 0.
-73, 0, 2
Suppose 0 = c + 3*c - 8. Factor 29*y - 383*y**c + 381*y**2 - 7*y.
-2*y*(y - 11)
Let f be (708/826)/((-3)/(-7)). Factor 36*l - 14*l + 3*l**f - 30 - 15*l + 2*l.
3*(l - 2)*(l + 5)
Let r be ((-4)/(-12) - 1)/(3/(-9)). Find z such that -9*z - z + 2*z**r + 4 + 5*z - z = 0.
1, 2
Let k = -460961/5 + 92193. Suppose -1/5 + 0*g**3 + 0*g + g**2 - k*g**4 = 0. Calculate g.
-1, -1/2, 1/2, 1
Let l(b) = -34*b**3 + 424*b**2 + 22042*b - 45793. Let x(g) = -250*g**3 + 2968*g**2 + 154294*g - 320550. Let a(r) = -44*l(r) + 6*x(r). Factor a(f).
-4*(f - 2)*(f + 107)**2
Let a(u) be the third derivative of -11/12*u**4 - u**2 + 1/90*u**5 + 85*u - 34/9*u**3 + 0. Factor a(g).
2*(g - 34)*(g + 1)/3
Let v be (-18)/39 + (-3654)/(-819). Suppose -44 = -2*c - 2*c. Suppose -23 + 23 + 3*d**2 + c - 18*d + v = 0. Calculate d.
1, 5
Let v be (-32)/(-144)*27 + 17. Let y(j) be the first derivative of 32*j + j**4 + v - 2*j**2 - 32/3*j**3. Factor y(x).
4*(x - 8)*(x - 1)*(x + 1)
Let j(u) be the second derivative of u**6/240 + u**5/40 + u**4/24 + 8*u**2 + u + 46. Let a(k) be the first derivative of j(k). Suppose a(o) = 0. Calculate o.
-2, -1, 0
Let s(r) be the second derivative of r**6/105 + r**5/7 + 17*r**4/42 + 8*r**3/21 + 56*r. Find h, given that s(h) = 0.
-8, -1, 0
Let j be (14/21)/((-31)/(4278/(-161))). Factor -2/7*x**2 + 2/7*x + j.
-2*(x - 2)*(x + 1)/7
Let v be 6/(-1) - (-30)/(-4)*80/(-100). Let g be 26/12 + (-8)/12. Let -3/4*j**4 + g*j - 15/4*j**2 + 3*j**3 + v = 0. Calculate j.
0, 1, 2
Let 129/2*h + 3/8*h**4 - 3/8*h**3 - 60 - 18*h**2 = 0. Calculate h.
-8, 2, 5
Let n(f) = 4*f**2 + 2*f + 1. Let t be n(-2). Suppose -40 = t*b - 33*b. Factor -l**b + 0 + 0*l**3 + 1/2*l - 1/2*l**5 + l**4.
-l*(l - 1)**3*(l + 1)/2
Suppose -52728 + 446631/8*l**3 + 161226*l - 328653/2*l**2 = 0. What is l?
52/53
Suppose -2*u + 18 = 5*f, 5*u = -11*f + 14*f + 14. Factor -75*q + 188*q + 18 + 2 + 2*q**f - 99*q.
2*(q + 2)*(q + 5)
Let p(o) = -o**2 + 1. Let m be ((-32)/112)/((-1)/(-14)). Let z(l) = 2*l**2 - 9*l - 3. Let c(t) = m*z(t) - 12*p(t). Factor c(n).
4*n*(n + 9)
Solve -220*u**2 - 207*u**2 + 431*u**2 + 7*u**3 - 5*u**3 = 0.
-2, 0
Let n(l) = -532*l - 3192. Let o be n(-6). Let z(r) be the second derivative of o + 5/12*r**4 - 35/6*r**3 + 15*r**2 + 19*r. Determine c so that z(c) = 0.
1, 6
Suppose 0 = 3*r - 4*r + 4*t - 71, -t = 5*r + 292. Let m = r + 61. Determine p, given that -3*p**2 + 40*p - 25*p**2 + 3*p**m + 20 = 0.
-2/5, 2
Let q = 1683 + -1680. Let v(f) be the second derivative of -13*f - 3/5*f**2 - 1/10*f**q + 0 + 1/20*f**4. Factor v(o).
3*(o - 2)*(o + 1)/5
Let g(s) = s**3 - 43*s**2 + 207*s + 557. Let t be g(37). Factor -429/5*y + 69/5*y**t + 363/5 - 3/5*y**3.
-3*(y - 11)**2*(y - 1)/5
Let p(f) be the first derivative of f**6/120 - f**5/12 - f**4/24 + 5*f**3/6 + 13*f**2/2 + 2*f + 31. Let k(y) be the second derivative of p(y). Factor k(v).
(v - 5)*(v - 1)*(v + 1)
Let g = -878114 + 878117. What is u in -18/5*u**2 + 0*u + 0 + 2/5*u**g = 0?
0, 9
Let g = 240 - -25. Suppose -264*i - 3 = -g*i. Factor -z + 1/3*z**i + 0*z**2 + 2/3.
(z - 1)**2*(z + 2)/3
Let g(v) be the third derivative of -v**8/84 + 2*v**7/7 - 29*v**6/15 + 28*v**5/5 - 20*v**4/3 - 3619*v**2. Suppose g(u) = 0. What is u?
0, 1, 2, 10
Let l(d) = -3*d**2 + 5364*d - 2397718. Let h(b) = 2. Let n(v) = 5*h(v) + l(v). What is k in n(k) = 0?
894
Let t(g) = 13*g**2 - 17*g + 62. Let h(b) = 3*b**2 + b + 2. Let n(u) = 4*h(u) - t(u). Factor n(v).
-(v - 18)*(v - 3)
Factor 134/5*s**2 + 19/5*s**4 + 23/5 + 86/5*s**3 - 1/5*s**5 + 91/5*s.
-(s - 23)*(s + 1)**4/5
Let v(f) = -25*f - 108*f + 111*f. Let h be v(0). Let h*k - 2/13*k**2 + 0 = 0. Calculate k.
0
Let t = -192 + 222. Factor -20*m - 13*m**2 + 320*m**4 - 32*m**2 - 325*m**4 - t*m**3.
-5*m*(m + 1)**2*(m + 4)
Solve -2/11*b**2 + 1704/11 + 272/11*b = 0 for b.
-6, 142
Let i(r) = -8*r - 245. Let x be i(8). Let w = 309 + x. Solve 4/9*q**2 + 0 - 22/9*q**5 + w*q - 4/9*q**4 + 22/9*q**3 = 0 for q.
-1, -2/11, 0, 1
Let i(g) be the first derivative of -5*g**6/6 + 441*g**5 + 674. Let i(o) = 0. What is o?
0, 441
Let d(c) be the third derivative of 0*c - 69*c**2 - 2*c**3 - 1/120*c**5 + 11/48*c**4 + 0. Determine j so that d(j) = 0.
3, 8
Let k(q) be the second derivative of q**6/120 + q**5/60 - 33*q**2/2 + 2*q + 3. Let n(t) be the first derivative of k(t). Factor n(s).
s**2*(s + 1)
Let l(m) be the first derivative of 18*m**2 - 4/3*m**3 - 73 + 0*m. Factor l(y).
-4*y*(y - 9)
Let m(y) be the second derivative of 7/5*y**2 - 125*y - 2/5*y**3 - 1/30*y**4 + 0. Determine p so that m(p) = 0.
-7, 1
Let h(g) = -g**3 - 59*g**2 + 101*g + 105. Let x(r) = r**3 + 117*r**2 - 201*r - 227. Let o(d) = -5*h(d) - 3*x(d). Factor o(w).
2*(w - 26)*(w - 3)*(w + 1)
Determine l, given that 3474*l + 260*l**3 + 5299 - 8706*l**2 - 2*l**4 - 13491 + 4402*l + 8764*l = 0.
1, 64
Let r(i) = 30 + i**3 + i + 10*i + 6*i + 81*i**2 - 65*i**2. Let n be r(-15). What is l in 8/19*l**2 + n - 8/19*l - 2/19*l**3 = 0?
0, 2
Let t(n) = 7*n - 109. Let i be t(16). Factor -24*c**2 + c**i + c**3 + 12*c + 8*c**3 - c**3.
3*c*(c - 2)*(3*c - 2)
Let d be 36/5*1040/6552. Find a such that -d*a**2 - 4/7*a + 4/7*a**3 + 2/7*a**4 + 6/7 = 0.
-3, -1, 1
Let f(u) be the first derivative of u**6/15 - 138*u**5/25 + 201*u**4/10 - 398*u**3/15 + 66*u**2/5 + 7595. Factor f(c).
2*c*(c - 66)*(c - 1)**3/5
Let s(n) be the third derivative of n**6/60 + 23*n**5/15 + 40*n**4 - 384*n**3 - 905*n**2. Factor s(u).
2*(u - 2)*(u + 24)**2
Let x(h) be the second derivative of 1 - 91*h + 52/3*h**2 + 1/90*h**6 + 31/60*h**5 + 23/6*h**4 + 106/9*h**3. Determine k, given that x(k) = 0.
-26, -2, -1
Let w(f) = -10004*f - 70024. Let x be w(-7). Determine m so that 15/2*m**3 - 1/2*m**x - 49/2*m**2 + 57/2*m - 11 = 0.
1, 2, 11
Let f be (3/(-26))/(3228/(-55952)). Suppose 1/4*p**3 - p + 3/2*p**f - 1/4*p**4 - 2 = 0. What is p?
-2, -1, 2
Find g such that 1293*g + 1671849/2 + 1/2*g**2 = 0.
-1293
Factor -49373 - 59302 - 56161 - 812*f - f**2.
-(f + 406)**2
Let l(k) be the second derivative of -k**5/20 - 13*k**4/12 - 13*k**3/2 - 27*k**2/2 - 44*k + 16. Factor l(m).
-(m + 1)*(m + 3)*(m + 9)
Let c(b) be the first derivative of 83 - 1/14*b**4 - 94/21*b**3 - 528/7*b**2 + 1152/7*b. Determine x so that c(x) = 0.
-24, 1
Let s(g) = 2*g**2 + 62*g + 180. Let j be s(-3). Let x(v) be the first derivative of -1/9*v**3 - j*v - 1 + 2*v**2. Factor x(m).
-(m - 6)**2/3
Factor 166/3*m - 24 - 1/3*m**4 + 8*m**3 - 39*m**2.
-(m - 18)*(m - 4)*(m - 1)**2/3
Let f be ((-28)/(-42))/((-1)/(-2*3)). Determine g so that 57*g**3 - 124*g**3 - 4*g**4 + 63*g**3 + 12*g**2 - 6 + 2*g**5 + 2*g - 2*g**f = 0.
-1, 1, 3
Let i(f) = 2*f**2 + 638*f + 2244. Let w(y) = -2*y**2 - 626*y - 2242. Let z(u) = -5*i(u) - 6*w(u). Factor z(g).
2*(g + 4)*(g + 279)
Factor -1743/2*j**2 + 3495/2*j - 1749/2 - 3/2*j**3.
-3*(j - 1)**2*(j + 583)/2
Let h(v) be the second derivative of 13*v**4/16 + 159*v**3/8 - 195*v**2/4 + 10581*v. Determine l, given that h(l) = 0.
-13, 10/13
Let x(g) be the first derivative of -2*g**5/5 + 7*g**4 - 58*g**3/3 - 44*g**2 + 381. Factor x(l).
-2*l*(l - 11)*(l - 4)*(l + 1)
Find n, given that 1936*n**2 + 128*n**4 - 30*n**3 - 14*n**5 - 909*n**2 - 24*n - 268*n**3 - 819*n**2 = 0.
0, 1/7, 1, 2, 6
Let s(c) = -25*c**3 + 263*c**2 - 299*c + 58. Let i(x) = -176*x**3 + 1840*x**2 - 2092*x + 408. Let u(k) = -3*i(k) + 20*s(k). Solve u(d) = 0 for d.
2/7, 1, 8
Suppose 5*n - 3*a + 2724 = 9*n, -4*n - a = -2732. Let p be n/54 + -7 - 5*1. Factor -p*u**3 + 0 + 2*u**2 - 4/3*u.
-2*u*(u - 2)*(u - 1)/3
Let j(f) be the first derivative of 4*f**3/3 + 150*f**2 - 936*f + 16. Suppose j(q) = 0. Calculate q.
-78, 3
Let 0*a