e p.
0, 2
Let r(x) be the first derivative of -30*x + 51/2*x**2 - 62 - 3*x**3. Solve r(w) = 0.
2/3, 5
Factor -263020*f + 459*f**2 - 3*f**3 + 17328 - 282950*f + 528186*f.
-3*(f - 76)**2*(f - 1)
Let b = -259158 + 259158. Factor 3/2*u**2 + 5/2*u**4 + b - 7/2*u**3 + 0*u - 1/2*u**5.
-u**2*(u - 3)*(u - 1)**2/2
Let f(d) = -5*d**2 + 14 + 2*d**2 + 6*d**2 - 5*d**2 - 2*d. Let k(u) = -2. Let c(h) = f(h) - 5*k(h). Factor c(z).
-2*(z - 3)*(z + 4)
Let t(y) be the first derivative of -2*y**3/15 - 342*y**2/5 - 58482*y/5 + 1138. Factor t(l).
-2*(l + 171)**2/5
Let 496/7*x - 4/7*x**4 + 576/7 - 36/7*x**3 + 48/7*x**2 = 0. What is x?
-9, -2, 4
Let n = 826 - 400. Let x = n - 421. Determine j so that -2/7*j**4 - 4/7*j + 2/7*j**2 + 6/7*j**3 + 0 - 2/7*j**x = 0.
-2, -1, 0, 1
Let d(b) = 14*b**3 + 1291*b**2 + 7597*b + 1818. Let k(r) = r**3 + 2*r**2 + 2*r. Let f(p) = d(p) - 2*k(p). Factor f(l).
3*(l + 6)*(l + 101)*(4*l + 1)
Suppose l**3 - 4*l**3 + 168*l**2 + 81*l**2 + 42*l**2 = 0. Calculate l.
0, 97
Let s(x) be the second derivative of -82*x + 1 + 2592*x**2 + 18*x**4 - 288*x**3 + 1/120*x**6 - 3/5*x**5. Solve s(q) = 0 for q.
12
Factor 245*t + 14*t**2 + 2744/3 - 1/3*t**3.
-(t - 56)*(t + 7)**2/3
Let j = -173475/2 + 86739. Let 21/2*r**3 + 0 + 9/2*r**2 + j*r**5 + 15/2*r**4 + 0*r = 0. What is r?
-3, -1, 0
Let n(c) be the first derivative of -c**4/12 - 2*c**3/3 - 2*c**2 - 3*c + 53. Let a(y) be the first derivative of n(y). Factor a(h).
-(h + 2)**2
Determine m, given that -3990*m**3 - 4/3 + 118*m - 7562/3*m**2 - 1350*m**4 = 0.
-2, -1, 1/45
Let y(w) = -w**3 - 2*w**2 - 2*w - 1. Let z be y(-2). Let i = -4661 + 4663. Factor -8*f - z*f**3 - f + 12*f**2 - 8*f**i + 8*f**2.
-3*f*(f - 3)*(f - 1)
Suppose -12*l + 2*l - 10*l + 8 - 19*l**2 - 120 + 21*l**2 = 0. What is l?
-4, 14
Let s be 40/140 - 28/441. Let t(o) be the first derivative of -2/27*o**3 + 0*o - 19 - s*o**2. Factor t(k).
-2*k*(k + 2)/9
Let t(p) be the third derivative of p**6/24 - 25*p**5/12 + 715*p**4/24 - 595*p**3/6 - 3827*p**2. Factor t(b).
5*(b - 17)*(b - 7)*(b - 1)
What is s in 704/7*s**3 - 6890*s - 14394/7*s**2 - 8/7*s**4 - 4732 = 0?
-2, -1, 91/2
Let f(u) be the second derivative of -21*u**5/20 - 113*u**4/4 + 184*u**3 - 342*u**2 + 643*u. Factor f(x).
-3*(x - 2)*(x + 19)*(7*x - 6)
Factor -27*c**3 - 45*c**2 - 120*c - 40*c**2 - 7193 + 32*c**3 + 7733.
5*(c - 18)*(c - 2)*(c + 3)
Let f(h) = h**3 + 6*h**2 - 12*h + 12. Let m be f(-7). Suppose x - m = -x + g, 5*x = 5*g + 120. Factor -19*p**2 + 0 + 0 - 4*p + x*p**2.
4*p*(p - 1)
Let s = 91712 - 1191988/13. Suppose 150/13*i**5 - 66/13*i**3 - 16/13 - 120/13*i - s*i**2 + 320/13*i**4 = 0. Calculate i.
-2, -2/5, -1/3, 1
Let x be ((-24)/(-14))/(((-52)/(-91))/2). Let k(o) = 10*o - 58. Let q be k(x). Factor 1/3*u**3 + 4/3 + 5/3*u**q + 8/3*u.
(u + 1)*(u + 2)**2/3
Find k such that 1998*k**2 + 63*k**4 + 330 - 27*k**5 - 160*k - 1392*k**3 - 42*k**4 - 735*k + 387*k**4 - 422*k = 0.
1, 10/9, 11
Let u be (1 - 3/21)*(0 - -7). Suppose u*w - 14*w = -40. Determine s so that 10 + 32*s + s**4 + 6 + 24*s**2 - w*s**3 + 13*s**3 = 0.
-2
Let a(h) = -25*h**2 + 105*h - 40. Let v = 42 - 26. Let d(r) = v*r + 3 + 2*r**2 - 5*r - 10*r - 9*r. Let z(k) = 3*a(k) + 40*d(k). Factor z(w).
5*w*(w - 1)
Let s(q) = -23*q**2 - 26*q - 64. Let g(f) = -17*f**2 - 25*f - 60. Let k(h) = 4*g(h) - 3*s(h). Factor k(p).
(p - 24)*(p + 2)
Let h = 2248114 + -2248111. Factor -12/11*k**2 + 2/11*k**4 - 10/11*k**h + 0*k + 0.
2*k**2*(k - 6)*(k + 1)/11
Suppose 806*n - 819*n = -52. Let p(z) be the second derivative of z**3 - 31*z + 1/4*z**n + 0*z**2 + 0. Factor p(c).
3*c*(c + 2)
Suppose 98225 = -3*v + 8*v. Suppose -20*a + 355 = -v. Solve 59581 + a*s**3 + 50000*s + 3*s**5 + 10000*s**2 - 2*s**5 + 50*s**4 + 40419 = 0 for s.
-10
Let d(y) be the third derivative of 1/5*y**5 + 1/3*y**4 - 41*y**2 + 0*y + 0*y**6 - 2/105*y**7 + 0 + 0*y**3. Find c such that d(c) = 0.
-1, 0, 2
Let g(j) be the first derivative of j**4/20 - 3*j**3/10 + 3*j**2/5 + 81*j + 31. Let x(o) be the first derivative of g(o). Factor x(c).
3*(c - 2)*(c - 1)/5
Suppose g - 4*k + 23 = 12, 4*k - 6 = 2*g. Suppose 35 = -0*t + 5*t + g*y, 5*t - 3*y = 3. Factor -2*d**t + 2*d**3 - 4*d**4 + d**3 + 3*d**3 + 4*d**2 - 4*d**5.
-4*d**2*(d - 1)*(d + 1)**2
Suppose 3*a = 2*a - z + 5, -20 = -4*a - 5*z. Suppose 0 = c + a*c - 60. Suppose c*o**2 - o + 2*o - 9*o**2 = 0. Calculate o.
-1, 0
Determine u so that 3*u**3 + 23*u**4 - 71 + 23 - 1236*u + 48*u**2 - 863*u**2 - 85*u**2 + 52*u**4 = 0.
-2, -1/25, 4
Let n(w) be the third derivative of w**6/1620 - 13*w**5/540 + 23*w**3/3 + 100*w**2. Let u(g) be the first derivative of n(g). Determine p, given that u(p) = 0.
0, 13
Let b(h) = -58*h + 933. Let z be b(16). Let n(m) be the third derivative of 1/660*m**6 + 1/33*m**4 + 0 + 1/66*m**z - 7*m**2 + 0*m**3 + 0*m. Factor n(j).
2*j*(j + 1)*(j + 4)/11
Suppose 9*f - 1168 = 2. Let b be 46/f + (28/(-26))/7. Factor 72*o**3 + b*o**5 - 6*o**4 - 7776/5 + 1296*o - 432*o**2.
(o - 6)**5/5
Let n(t) be the second derivative of -10396/33*t**3 + 62*t + 113/11*t**5 + 2 - 5/33*t**6 - 2116/11*t**2 - 373/2*t**4. Let n(l) = 0. What is l?
-2/5, 23
Let m(n) = 7*n**4 + 77*n**3 - 15*n**2 - 232*n + 175. Let l(s) = -64*s**4 - 692*s**3 + 136*s**2 + 2088*s - 1580. Let z(w) = -3*l(w) - 28*m(w). Factor z(g).
-4*(g - 1)**2*(g + 2)*(g + 20)
Let y(z) = z**2 + 29 - 12 - 11 - z. Let a(x) = 2*x**2 - 2*x + 18. Suppose -3*u + 10 = 43. Let o(q) = u*y(q) + 4*a(q). Factor o(k).
-3*(k - 2)*(k + 1)
Let t(z) be the second derivative of z**5/20 - z**4/8 - 10*z**3 + 14*z**2 - 69*z. Let w(l) be the first derivative of t(l). Find i, given that w(i) = 0.
-4, 5
Let i(o) be the second derivative of 3*o**4 + 44/3*o**3 + 4*o - 1/5*o**5 + 0 + 0*o**2. Factor i(v).
-4*v*(v - 11)*(v + 2)
Let a be ((3/(-2))/(-1))/((-24)/(-80)). Let m(s) be the second derivative of -1/60*s**5 + 0 - 1/12*s**4 - a*s - 1/6*s**2 - 1/6*s**3. Let m(o) = 0. Calculate o.
-1
Let t(v) be the third derivative of -v**8/336 + v**7/210 + 7*v**6/40 - 49*v**5/60 - v**4/3 + 10*v**3 - 184*v**2. Determine d so that t(d) = 0.
-5, -1, 2, 3
Let r(u) be the second derivative of -35*u - 9/20*u**5 + 4*u**4 + 1/28*u**7 + 0*u**2 - 1/4*u**6 + 8*u**3 + 0. What is s in r(s) = 0?
-2, -1, 0, 4
Let b(i) = i**3 + 36*i**2 + 224*i + 12. Let p be b(-28). Let r(h) be the first derivative of -6*h**2 - p + 4/3*h**3 - 16*h. Factor r(m).
4*(m - 4)*(m + 1)
Solve 132/7*b + 216 - 4/7*b**2 = 0.
-9, 42
Let k(d) = 4*d**2 - 23*d - 31. Let b be k(7). Factor -30*z**2 + 23*z**3 - 3*z**4 - 103*z**3 - 2*z**2 - 53*z**b - 12*z**5.
-4*z**2*(z + 2)**2*(3*z + 2)
Let s = 263 - 261. Factor 2*u**3 - u**3 - 3*u**3 + 5*u**s - 2*u**4 - u**2.
-2*u**2*(u - 1)*(u + 2)
Let w(v) be the first derivative of 6*v + 3/40*v**5 + 4 + 0*v**2 - 1/4*v**4 + 0*v**3. Let k(s) be the first derivative of w(s). Suppose k(j) = 0. Calculate j.
0, 2
Suppose t + 24*t = -17*t. Let w(f) be the second derivative of t - 3/10*f**2 - 3/25*f**5 - 2/5*f**3 - 3/10*f**4 - 1/50*f**6 + 15*f. Factor w(k).
-3*(k + 1)**4/5
Let o be (-304)/(-12) - 2440/(-61). Let v = -11 - -34/3. Let -o - 28/3*p - v*p**2 = 0. Calculate p.
-14
Let c be (252/80)/(-9) + 3354/215 + -15. Factor c*m**2 + 9/4*m + 2.
(m + 1)*(m + 8)/4
Let k(j) be the first derivative of 16*j**6/3 + 80*j**5 + 721*j**4/2 + 1544*j**3/3 + 263*j**2 + 56*j - 1497. Determine l, given that k(l) = 0.
-7, -4, -1, -1/4
Let t(z) = -5*z**2 - 56*z - 32. Let d(y) = 9*y**2 + 101*y + 65. Let g(a) = -4*d(a) - 7*t(a). Factor g(v).
-(v + 6)**2
Factor -2704 - 30*n - 365871*n**2 + 365867*n**2 + 238*n.
-4*(n - 26)**2
Let u(m) be the third derivative of -m**7/210 - 293*m**6/15 - 171698*m**5/5 - 100615028*m**4/3 - 58960406408*m**3/3 - 3*m**2 + 94*m. What is y in u(y) = 0?
-586
Let b be (632/237)/(16/10*45/54). Factor 48/11 + 6/11*q**b - 36/11*q.
6*(q - 4)*(q - 2)/11
Let h(a) be the first derivative of a**3/6 + 55*a**2/4 - 87*a + 2760. What is r in h(r) = 0?
-58, 3
Let 115*v**2 - 470*v + 5/6*v**3 + 1420/3 = 0. Calculate v.
-142, 2
Suppose 3*p + 8 = p, -2*u + p + 24 = 0. Factor -4*h + u*h - 1715*h**2 + 1718*h**2.
3*h*(h + 2)
Let u be ((-1)/(-3))/(5 + 9 + -2 + 749/(-63)). Solve -2*m - 2/3*m**u - 19/3*m**2 + 0 + m**4 = 0.
-2, -1/3, 0, 3
Factor -13736/7*w + 23584712/7 + 2/7*w**2.
2*(w - 3434)**2/7
Determine v so that -14*v - 9*v - 2*v + 14*v**2 - 62*v**2 + 21*v**2 + 2 = 0.
-