or 1203 - 25*o - 5*o**3 - 20*o**2 - 605 - d.
-5*(o + 1)**2*(o + 2)
Let l = -2624 - -2624. Factor 0*m + l - 9/7*m**3 - 6/7*m**4 + 0*m**2 - 1/7*m**5.
-m**3*(m + 3)**2/7
Let g be 14/(-12) + 6/2 - 14/(-84). Factor -1 + 0*a + 1/4*a**g.
(a - 2)*(a + 2)/4
Let b(x) = 5*x**3 - 161*x**2 - 182*x + 314. Let g(f) = -15*f**3 + 482*f**2 + 544*f - 943. Let k(q) = 17*b(q) + 6*g(q). Determine r, given that k(r) = 0.
-2, 1, 32
Let a(h) = -h**3 - h**2 + h. Let q(t) = -2*t**3 + 146*t**2 - 1298*t. Let i(f) = -2*a(f) - q(f). Suppose i(d) = 0. What is d?
0, 18
Suppose 4*i = -2*u + 148, 2*i + 3*i - u - 192 = 0. Suppose -i*c**4 - 2*c**3 + 7*c**3 + 33*c**4 = 0. What is c?
0, 1
Factor 39/4*o**2 + 15/2*o**5 + 93/4*o**4 + 3/4*o + 99/4*o**3 + 0.
3*o*(o + 1)**3*(10*o + 1)/4
Let u(b) be the first derivative of b**4/30 - 38*b**3/45 + 64*b**2/15 - 8*b - 50. Solve u(q) = 0.
2, 15
Let x(r) be the first derivative of 3*r**5/5 + 27*r**4/4 + 22*r**3 - 96*r + 27. Factor x(u).
3*(u - 1)*(u + 2)*(u + 4)**2
Let q = -143691/11 + 13063. Factor 12/11*f + 18/11 + q*f**2.
2*(f + 3)**2/11
Let f(y) = 2*y**3 + 11*y**2 - 52*y - 92. Let g be f(-8). Factor 3/7*s**3 + 0 - 1/7*s**5 + 1/7*s**g - 5/7*s**2 + 2/7*s.
-s*(s - 1)**3*(s + 2)/7
Let m(i) = 15*i**2 + 6562*i + 712772. Let y(b) = 3*b**2 + 1312*b + 142556. Let n(v) = 2*m(v) - 11*y(v). Determine z so that n(z) = 0.
-218
Let x(f) be the second derivative of 5*f**7/42 - 13*f**6/6 + 55*f**5/4 - 335*f**4/12 - 140*f**3/3 + 200*f**2 - 183*f. Solve x(s) = 0.
-1, 1, 4, 5
Let g be ((-45)/(-12))/((-18)/(-24)). Let r(h) be the first derivative of h**2 + 4/7*h + 2/35*h**g + 6/7*h**3 + 3 + 5/14*h**4. Solve r(c) = 0.
-2, -1
Let d be ((-6)/(-6))/(1/149). Suppose -4*h + 114 = 2*m, 0 = 5*h + m - 5*m - d. Factor -15*c**2 + c - h*c**2 - 3*c - 9*c**3 + 55*c**2.
-c*(c - 1)*(9*c - 2)
Let q(g) be the second derivative of -7*g**6/75 - 29*g**5/10 - 301*g**4/10 - 477*g**3/5 + 486*g**2/5 + 230*g. Determine c, given that q(c) = 0.
-9, -3, 2/7
Let q(d) be the second derivative of 0 + 0*d**2 + 2/45*d**3 + 1/90*d**4 - 11*d. Find c such that q(c) = 0.
-2, 0
Let j(p) = -7*p**3 + 8*p**2 + p - 58. Let o(n) = -48*n**3 + 57*n**2 + 9*n - 405. Let q(s) = 27*j(s) - 4*o(s). Determine l, given that q(l) = 0.
-2, 3
Let o(i) = -5*i**2 + 5*i + 30. Let z(n) = -10*n**2 + 10*n + 60. Suppose -7*a + 8 + 6 = 0. Let p(v) = a*z(v) - 5*o(v). Factor p(h).
5*(h - 3)*(h + 2)
Suppose -4 = -z - 2*u, -9*z + 14 = 16*u - 20*u. Solve 0 - 1/12*w**z + 1/12*w = 0 for w.
0, 1
Let q be ((539/22)/(-7))/((-2)/4). Let z(i) be the second derivative of -1/84*i**q + 0*i**4 - i + 0*i**3 + 0 + 0*i**2 - 1/45*i**6 - 1/120*i**5. Factor z(d).
-d**3*(d + 1)*(3*d + 1)/6
Let f(t) = 2*t**4 - 7*t**3 + t**2 - 5*t + 5. Let h(u) = u**4 - 3*u**3 - 2*u + 2. Let y(s) = -2*f(s) + 5*h(s). Suppose y(x) = 0. What is x?
-1, 0, 2
Let w(h) = -13*h**2 - 12*h. Let b(q) = -5*q - 3*q + 14*q + 6*q**2. Let r(t) = 7*b(t) + 3*w(t). Factor r(j).
3*j*(j + 2)
Solve -2*w**2 - 28 - 2*w**2 + 11071*w - 11103*w + 0*w**2 = 0.
-7, -1
Suppose 32 = -2*i - 5*u, 0 = 2*i + 3*u - 8*u + 72. Let p be i/(-8) + (-12)/(-16). Factor 24*b**3 - 3*b**4 + p*b**5 - 5*b**4 + 8*b**4 + 4*b + 16*b**2 + 16*b**4.
4*b*(b + 1)**4
Solve 15*j**3 + 30*j - 11*j**3 + 4*j**2 - 38*j = 0.
-2, 0, 1
Let u(c) be the first derivative of -c**6/120 + c**5/15 - c**4/8 + 7*c**2/2 + 11. Let j(q) be the second derivative of u(q). Factor j(k).
-k*(k - 3)*(k - 1)
Let z be 2/6 - (-16)/6. Suppose 2*f = 3 + z. Factor -3*y**4 + 4*y**4 - 6*y**f - 3*y**2 + y**4 - 5*y**4.
-3*y**2*(y + 1)**2
Let j(w) = 14453*w**2 - 677*w + 8. Let h(s) = 72266*s**2 - 3384*s + 40. Let p(d) = -3*h(d) + 16*j(d). Factor p(l).
2*(85*l - 2)**2
Let v(p) = p**4 - p**2 + p. Let j = -97 - -98. Let l(u) = 11*u**4 - 25*u**3 + 29*u**2 - 9*u. Let m(w) = j*l(w) - 6*v(w). Solve m(s) = 0 for s.
0, 1, 3
Suppose h - 3 = -3*b + 6, 2*h - 3*b = 63. Factor -10*z**2 - 30*z**2 - 4*z + 4*z**3 + h - 16*z**3.
-4*(z + 1)*(z + 3)*(3*z - 2)
Let n(u) = 9*u**4 + 504*u**3 - 7920*u**2 + 38400*u - 61464. Let v(w) = 2*w**4 + 100*w**3 - 1584*w**2 + 7680*w - 12293. Let y(r) = 5*n(r) - 24*v(r). Factor y(t).
-3*(t - 16)**2*(t - 4)**2
Let s(k) be the third derivative of k**8/168 + k**7/15 + k**6/5 - 2*k**5/15 - 4*k**4/3 - 496*k**2 + 2*k. Factor s(h).
2*h*(h - 1)*(h + 2)**2*(h + 4)
Let p(a) be the first derivative of 0*a**2 + 2/3*a**3 + 1/6*a**4 + 6 - a. Let v(c) be the first derivative of p(c). Let v(n) = 0. Calculate n.
-2, 0
Let h = 4/11 + -45/154. Let d(o) be the first derivative of 0*o + h*o**4 + 2/21*o**3 - 2/35*o**5 - 1 - 1/7*o**2. Factor d(g).
-2*g*(g - 1)**2*(g + 1)/7
Let f(d) be the first derivative of -1/9*d**3 - 2 + 2/3*d**2 - 4/3*d. Factor f(s).
-(s - 2)**2/3
Suppose 0 = 10*t - 6*t - 120. Let l be (5/((-25)/t))/((-45)/6). Suppose -l*x**2 + 0 - 2*x**3 + 2*x**5 + 0*x + 4/5*x**4 = 0. What is x?
-1, -2/5, 0, 1
Let c(b) be the third derivative of -b**6/630 - b**5/35 - 19*b**3/6 + 23*b**2. Let f(n) be the first derivative of c(n). Find x, given that f(x) = 0.
-6, 0
Factor 8*n - 2/13*n**2 - 200/13.
-2*(n - 50)*(n - 2)/13
Let y = -4056 + 4064. Determine b so that -4 + 8/7*b**3 + y*b**2 - 4/7*b - 4/7*b**5 - 4*b**4 = 0.
-7, -1, 1
Let r be ((-4)/(8/10))/((-4)/8). Let a(n) = -3*n + 32. Let g be a(r). Solve -84/5*p + 147/5*p**g + 12/5 = 0.
2/7
Factor -12/7*k**3 - 3/7*k**4 + 3/7*k**2 + 12/7*k + 0.
-3*k*(k - 1)*(k + 1)*(k + 4)/7
Let z(c) be the third derivative of 5*c**8/336 - 4*c**7/21 + 11*c**6/12 - 7*c**5/3 + 85*c**4/24 - 10*c**3/3 - 44*c**2. Determine f, given that z(f) = 0.
1, 4
Let f(d) be the second derivative of -2/3*d**3 + 0*d**2 + 0 + 1/60*d**6 + 3/40*d**5 + 1/8*d**4 + d. Let r(c) be the second derivative of f(c). Factor r(w).
3*(w + 1)*(2*w + 1)
Let u(i) be the second derivative of 1/15*i**3 + 4/25*i**6 - 1/25*i**5 - 2/15*i**4 + 0 + 14*i + 3/35*i**7 + 0*i**2. Factor u(x).
2*x*(x + 1)**2*(3*x - 1)**2/5
Let t(s) be the third derivative of s**2 + 0 - 1/600*s**6 - 1/10*s**3 + 1/100*s**5 + 0*s + 1/120*s**4. Factor t(c).
-(c - 3)*(c - 1)*(c + 1)/5
Let k(j) be the first derivative of 3*j**4/16 - 65*j**3/4 - 513. Solve k(d) = 0.
0, 65
Let o(t) be the first derivative of -t**2 + 2/5*t**3 + 4/5*t + 11. Factor o(p).
2*(p - 1)*(3*p - 2)/5
Factor 24*y + 24 - 30 + 5 - 3*y**2 + 2 + 26.
-3*(y - 9)*(y + 1)
Let d = 84 + -84. Let r(v) be the third derivative of 1/16*v**4 - 1/40*v**5 + 1/4*v**3 - 1/80*v**6 + d - 4*v**2 + 0*v. Factor r(u).
-3*(u - 1)*(u + 1)**2/2
Let m(r) = -7*r**2 + 29*r - 26. Let s(g) = 120*g**2 - 495*g + 440. Let x(a) = 35*m(a) + 2*s(a). Let x(w) = 0. Calculate w.
2, 3
Factor 0*w**2 - 16/3*w + 1/3*w**4 + 4/3*w**3 - 16/3.
(w - 2)*(w + 2)**3/3
Let o be 20/35 - ((-745)/105 - -5). Let x(r) be the first derivative of -2/3*r**6 + 0*r**5 + 0*r + 3*r**4 + 9 + o*r**3 + 0*r**2. Factor x(z).
-4*z**2*(z - 2)*(z + 1)**2
Let n be ((-6)/9 - (-8)/(-36)) + 1. Let o(l) be the first derivative of 0*l**4 + n*l**6 - 4/9*l**3 - 1/3*l**2 + 1 + 0*l + 4/15*l**5. What is w in o(w) = 0?
-1, 0, 1
Let x(i) = i**3 + 20*i**2 - 39*i + 71. Let g be x(-22). Let q be g/(-36) - ((-36)/16 + 2). Let 1/3*u**2 + q + 5/3*u = 0. Calculate u.
-4, -1
Determine p, given that -6*p + 9*p**2 + 3*p**5 - 9*p**4 - 174*p**3 + 347*p**3 - 170*p**3 = 0.
-1, 0, 1, 2
Let q be (-1)/2*(2 + -2). Suppose -5*p = -q*p. Determine t so that -2*t**4 + 9*t + 2*t**2 + p*t - 7*t - 2*t**3 = 0.
-1, 0, 1
Let j(m) = 19*m - 54. Let d be j(3). Let p(h) be the first derivative of -1/12*h**6 + 0*h**d + 1/16*h**4 - 3 - 1/20*h**5 + 0*h + 0*h**2. Factor p(n).
-n**3*(n + 1)*(2*n - 1)/4
Factor 0 - 3136/9*f - 116/9*f**3 - 2/9*f**4 - 1792/9*f**2.
-2*f*(f + 2)*(f + 28)**2/9
Find p, given that p**4 + 140*p + 141/2*p**2 + 50 - 37/2*p**3 = 0.
-1, -1/2, 10
Let m(s) = -s**3 + 13*s**2 - 11*s - 10. Let t be m(12). Let 8*x**3 - 10*x - 3*x**t + 12 - 5*x**2 - 6*x - 12*x**2 = 0. What is x?
-1, 1/2, 3
Let f(j) = -4*j**2 - 96*j + 1149. Let g(r) = -2*r**2 - 1. Let w(z) = f(z) - 3*g(z). What is q in w(q) = 0?
24
Let n(q) = q**2 - q + 1. Let l(s) = 16*s - 18. Let v(f) = f**3 - 9*f**2 + 14*f - 2. Let u be v(7). Let b(j) = u*l(j) - 4*n(j). Find p such that b(p) = 0.
-8, 1
Factor 15*f**4 + 5*f**5 - 8 + 8 - 24*f**3 - 15*f**2 + 20*f - f**3.
5*f*(f - 1)**2*(f + 1)*(f + 4)
Let n be 616/4 + 0/(3*-1). Let i be (2/10 - -1)/(n/110). Factor 2/7*v**3 + 6/7*v + i*v**2 + 2/