6 + 2*u**3 + u**2 - 17/12*u**4 + 1/2*u**5. Factor o(f).
-2*(f - 1)**3*(f + 6)
Let k(v) = -30*v**4 + 3003*v**3 + 3720*v**2 + 759*v + 126. Let d(t) = t**4 + t**3 + 4*t**2 - 7. Let f(s) = 18*d(s) + k(s). Solve f(u) = 0 for u.
-1, -1/4, 0, 253
Suppose -x = -4*x - 2*g + 11, 0 = -5*g + 5. Suppose 3969*i + 3*i**3 - 189*i**2 + 10*i**3 - 27783 - 13*i**3 + 3*i**x = 0. Calculate i.
21
Let n(z) be the third derivative of -4913*z**8/14 + 142766*z**7/35 - 36873*z**6/20 + 6453*z**5/20 - 189*z**4/8 + 2*z**2 - 495*z. Factor n(r).
-3*r*(r - 7)*(34*r - 3)**3
Suppose -3*q - 2*s = -243, 0*q = 3*q - 4*s - 225. Suppose -15*b**4 - q*b**3 - 6*b**3 + 50*b + 43*b**5 - 32*b**5 + 24*b**5 + 15*b**2 = 0. What is b?
-1, 0, 1, 10/7
Let w(g) be the first derivative of 4*g**3/9 + 2936*g**2/3 + 2155024*g/3 + 2878. Factor w(a).
4*(a + 734)**2/3
Let h be (-4 + 2)/(-9*160/432) - -3. Find x such that 4/5 - h*x**2 + 14/5*x = 0.
-2/9, 1
Let m(y) be the first derivative of y**5/20 + 3*y**4/4 + 9*y**3/4 - 2019. Factor m(g).
g**2*(g + 3)*(g + 9)/4
Let r(p) = -4*p + p + p**2 + p. Let q be r(-1). Factor -5*i**q + 0*i**3 - 12*i + 12 - i**3 - 21*i**2.
-3*(i + 2)**2*(2*i - 1)
Suppose -1062*f + 1067*f + 3*w = 42, f + 2*w - 21 = 0. Factor 1/3*s**f - 2/3*s**2 + 0 + 0*s.
s**2*(s - 2)/3
Suppose 15*y + 2*n = 14*y + 2019, -5*y + 10113 = 4*n. Factor -789*r**2 - 179685 - 18360*r - 5*r**3 + y*r + 294*r**2.
-5*(r + 33)**3
Solve 0*u**3 + 0*u - 2/9*u**5 + 0*u**2 + 70/9*u**4 + 0 = 0 for u.
0, 35
Let b = 313982/3 - 104234. Determine p, given that -4/3*p**4 - 80/3*p**3 - 176*p**2 - b*p - 1024/3 = 0.
-8, -2
Suppose -3 = -l, -4*a + 3*a + 4*l + 2485 = 0. Let 5*p**3 - 8 - a*p + 2477*p + 11 - 43 - 5*p**4 + 30*p**2 = 0. Calculate p.
-2, -1, 2
Find m such that 50/3*m**5 + 2352 + 13324/3*m**2 + 9784*m - 42722/3*m**3 - 7060/3*m**4 = 0.
-6, -2/5, 1, 147
Let l(r) = r**3 - 25*r**2 + 23*r + 38. Let p be l(24). Determine u so that -152*u - 12*u**2 + p*u**2 + 148*u = 0.
0, 2
Let f(y) be the second derivative of y**4/16 - 87*y**3/8 - 464*y. Factor f(m).
3*m*(m - 87)/4
Factor -268/5*b**2 + 0*b + 0 - 2/5*b**5 + 534/5*b**3 - 264/5*b**4.
-2*b**2*(b - 1)**2*(b + 134)/5
Let r be 30/(-840)*572 + 21. Solve -4/7*q + r*q**3 + 0 - 2/7*q**2 + 2/7*q**4 = 0.
-2, -1, 0, 1
Let r(o) be the third derivative of 0*o - 1/168*o**8 - 133*o**2 + 1/90*o**6 + 0 + 0*o**4 + 0*o**5 - 1/63*o**7 + 0*o**3. Factor r(z).
-2*z**3*(z + 2)*(3*z - 1)/3
Let l(g) be the first derivative of 1/9*g**3 - 1/2*g**2 - 2/3*g + 1/15*g**5 + 1/4*g**4 + 31. What is y in l(y) = 0?
-2, -1, 1
Factor 17221 + 2*n**3 - 4*n**3 + 14*n**2 - 17251 - 14*n.
-2*(n - 5)*(n - 3)*(n + 1)
Let b(a) be the third derivative of 0*a**4 + 0*a - 5/336*a**8 - 1/2*a**7 + 11/12*a**6 + 0*a**3 + 0*a**5 + 0 - 38*a**2. Solve b(g) = 0 for g.
-22, 0, 1
Let u be ((96/(-7))/(-4) + -4)*1259/(-2518). Determine w, given that 3/7*w + 0 + u*w**2 - 1/7*w**3 = 0.
-1, 0, 3
Let a(k) = -k**3 - 131*k**2 - 2*k. Let b(f) = -f**2 - f. Let s(d) = -a(d) + 2*b(d). Determine c so that s(c) = 0.
-129, 0
Suppose -18*a = -10*a + 2896. Let d = 749/2 + a. Factor -d - 1/2*m**2 - 5*m.
-(m + 5)**2/2
Let z(o) = -o**4 + 3*o**3 - 16*o. Let p(j) = -j**2 - j. Suppose 8 = -2*u - 32. Let q(b) = u*p(b) + 5*z(b). Factor q(w).
-5*w*(w - 3)*(w - 2)*(w + 2)
Let i be (-252)/(-585) - 94/3055. Solve 4*k - 4*k**3 - i*k**4 + 0 + 2/5*k**2 = 0 for k.
-10, -1, 0, 1
Let p = -603 + 671. Let g = 112 + p. Suppose -16/5 - g*v**2 - 48*v = 0. What is v?
-2/15
Let t(d) be the first derivative of -d**7/3360 + d**5/480 - 73*d**3/3 + 57. Let y(p) be the third derivative of t(p). Solve y(i) = 0.
-1, 0, 1
Suppose 2*z - j = -9, 4*j = 5*z + 19 + 5. Let a be 6/z*(-4 + 2). Factor 6/7*n**2 - 8/7*n**a + 8/7*n - 6/7.
-2*(n - 1)*(n + 1)*(4*n - 3)/7
Suppose 3*h + 2*h = b + 395, 0 = -5*h + 4*b + 380. Let f = 82 - h. Factor 5*a**2 + 51*a**4 - 4 - 53*a**4 + a**2 - f*a**3 + 2*a.
-2*(a - 1)**2*(a + 1)*(a + 2)
Let i(c) be the first derivative of -3*c**4/5 + 14*c**3/3 + 168*c**2/5 + 54*c/5 - 833. Factor i(x).
-2*(x - 9)*(x + 3)*(6*x + 1)/5
Suppose 5*d + 3*p = -961, d + 3*p + 179 = -2*p. Let x = d + 197. Suppose 2*a - 2/3*a**4 - 2*a**x - 2/3*a**2 + 4/3 = 0. What is a?
-2, -1, 1
Suppose -27*j + 480 = -21*j. Let 119*a - j + 123*a + 50*a**3 + 405*a**2 - 212*a = 0. Calculate a.
-8, -1/2, 2/5
Let d = -337625/336 - -7034/7. Let x(v) be the third derivative of 0*v**3 - 1/240*v**6 - 7/240*v**5 + d*v**4 + 6*v**2 + 0 + 0*v + 1/120*v**7. Factor x(s).
s*(s - 1)*(s + 1)*(7*s - 2)/4
Let a(n) = -n**3 + 3*n**2 + 10*n - 24. Let x be a(2). Let k(z) be the second derivative of 9*z + 0 + x*z**2 - 1/110*z**5 + 2/33*z**3 - 1/66*z**4. Factor k(o).
-2*o*(o - 1)*(o + 2)/11
Let u = -47 - -10. Let o = -34 - u. Suppose 9*n**o + 3*n**4 + 12*n + 10 + 62 + 12*n**2 - 66*n**2 = 0. Calculate n.
-6, -1, 2
Let z(p) be the second derivative of -p**6/210 - 263*p**5/140 - 365*p**4/12 - 6325*p**3/42 + 3520*p. Determine r so that z(r) = 0.
-253, -5, 0
Factor 16/3*l - 2/15*l**2 + 82/15.
-2*(l - 41)*(l + 1)/15
Let l(p) = 3*p**4 - 2*p**3 + p**2 + p. Let b(d) = -d**4 - 5801*d**3 + 2246533*d**2 - 289803017*d. Let z(a) = b(a) + 2*l(a). Solve z(j) = 0.
0, 387
Let p be 521/18756*4*6. Suppose -2/3*x + p*x**3 + 20/3*x**2 - 20/3 = 0. What is x?
-10, -1, 1
Let v(y) = -4*y**3 - y**2 - 5*y + 7. Let f(d) = -d**3 - d**2 - 2*d + 1. Let m = 75 + -85. Let x(g) = m*f(g) + 2*v(g). Let x(t) = 0. Calculate t.
-2, -1
Suppose 200/3 + 95/3*z + 5/2*z**2 = 0. What is z?
-10, -8/3
Let o(u) be the third derivative of -u**5/30 + 269*u**4/4 - 806*u**3/3 + 5508*u**2. Factor o(a).
-2*(a - 806)*(a - 1)
Let h = 774/10745 - -328/1535. Determine x, given that -h*x**3 - 24/7 + 16/7*x + 10/7*x**2 = 0.
-2, 1, 6
Let r(k) = k**2 - 29*k + 3. Let d be r(0). Factor 111*q**3 + 8*q - 21*q**2 + 7*q**2 + 67*q**3 - 62*q**2 - 22*q**d.
4*q*(3*q - 1)*(13*q - 2)
Let j(m) be the first derivative of -15 + 5/4*m - 7/16*m**2 + 1/24*m**3. Factor j(b).
(b - 5)*(b - 2)/8
Let u(y) be the first derivative of y**6/1440 + y**5/80 - y**4/6 + 11*y**3/3 + y - 21. Let l(s) be the third derivative of u(s). Factor l(d).
(d - 2)*(d + 8)/4
Let n = 273712 - 1094835/4. Find s, given that 3/2 + 13/4*s**3 - n*s - 5/4*s**4 - 1/4*s**2 = 0.
-1, 3/5, 1, 2
Let w(a) = 48*a**2 + 79*a - 116. Let s(i) be the third derivative of -3*i**5/20 - 2*i**4/3 + 23*i**3/6 - 8*i**2 - 5*i. Let y(b) = 11*s(b) + 2*w(b). Factor y(k).
-3*(k - 1)*(k + 7)
Let h(d) be the second derivative of -d**7/3360 - d**6/240 - d**3/6 - 27*d**2 + 18*d + 1. Let z(r) be the second derivative of h(r). Factor z(q).
-q**2*(q + 6)/4
Let v(a) = -2*a**2 + 11*a + 5. Let i be v(5). Suppose 4*k - i = 14. Factor -6 - 8*t**3 - t**5 + k*t**4 + 9*t + 8*t**2 - 10*t**2 + 2.
-(t - 4)*(t - 1)**3*(t + 1)
Let r be 6/(-9)*-5*(-36)/(-20). Let i(f) be the second derivative of 3/2*f**2 + 0 - 3/4*f**3 - 1/4*f**4 + r*f. Suppose i(s) = 0. Calculate s.
-2, 1/2
Factor 18*b + 288 - 130*b + 6*b + 3*b**3 + 3*b**4 - 95*b + 9*b - 102*b**2.
3*(b - 6)*(b - 1)*(b + 4)**2
Let l(r) be the third derivative of 0 - 1/840*r**8 - 1/25*r**6 - 14*r + 2*r**2 + 4/75*r**5 + 0*r**4 + 2/175*r**7 + 0*r**3. Solve l(j) = 0.
0, 2
Let a be ((-2)/3)/1 - 24/(-36). What is j in 0 - j**2 + a + 11507*j - 11512*j = 0?
-5, 0
Let v(y) be the second derivative of y**4/3 + 2828*y**3 + 8997282*y**2 + 8790*y. Find p, given that v(p) = 0.
-2121
Let i(h) = -10*h**5 - 4*h**4 - 8*h**3 - 4*h**2 + 2*h - 8. Let f(w) = -w**5 - w**4 - w**3 - 1. Let c(k) = 8*f(k) - i(k). Let c(p) = 0. Calculate p.
-1, 0, 1
Let q(i) = -7*i**3 - 294*i**2 - 590*i - 15. Let c(w) = -4*w**3 - 146*w**2 - 294*w - 9. Let s(x) = -5*c(x) + 3*q(x). Factor s(z).
-z*(z + 2)*(z + 150)
Let u(l) = -1689*l - 43908. Let z be u(-26). Determine x, given that 0 - 6*x**4 + 3*x**3 - 9/2*x + z*x**2 + 3/2*x**5 = 0.
-1, 0, 1, 3
Factor 585*a**2 - 1423*a - 26801*a + 205*a**3 - 606*a**3 - 28812 + 201*a**3 + 197*a**3.
-3*(a - 98)**2*(a + 1)
Let f(n) = 7*n**5 + n**4 - 2*n**3 - n**2 - n - 1. Let t(x) = -15*x**5 - 11*x**4 + 20*x**3 + 62*x**2 + 2*x + 2. Let c(h) = 2*f(h) + t(h). Factor c(m).
-m**2*(m - 3)*(m + 2)*(m + 10)
Let s(n) be the second derivative of 3*n**5/80 - 5*n**4/8 - 49*n**3/8 + 195*n**2/4 - 622*n. Factor s(w).
3*(w - 13)*(w - 2)*(w + 5)/4
Find w such that -132401*w - 2*w**4 + 516*w**2 + 119*w**3 + 6*w**4 - w**3 + 66046*w + 66067*w = 0.
-24, -6, 0, 1