j) = k*t(j) - 27*b(j). Factor i(r).
3*r**3
Let h = -2691/1340 - -446457/159460. Let o = h + 1/119. Factor -2/5*j**4 + 14/5*j - o - 18/5*j**2 + 2*j**3.
-2*(j - 2)*(j - 1)**3/5
Determine r so that -14*r**2 + 5*r**2 + 2*r + 13*r**2 + 2*r**3 = 0.
-1, 0
Suppose 0 = -10*b + 2*b + 24. Determine l, given that -66*l + l**2 + 99 - b*l**2 - 462 - l**2 = 0.
-11
Let d(k) be the second derivative of k**6/20 + k**5/20 - 3*k**4/8 - k**3 - k**2 + 53*k. Let d(f) = 0. Calculate f.
-1, -2/3, 2
Let l(g) be the first derivative of g**6/120 - g**5/16 + g**4/6 - g**3/6 + 5*g + 12. Let s(m) be the first derivative of l(m). Let s(d) = 0. What is d?
0, 1, 2
Let v = -80 - -82. Solve 246 - v*b**2 - 12*b**3 - 246 = 0 for b.
-1/6, 0
Let j(g) be the second derivative of 0 - 5/8*g**2 - 5/24*g**3 + g + 5/48*g**4 + 1/16*g**5. Factor j(u).
5*(u - 1)*(u + 1)**2/4
Let t(h) = 2*h**4 + 3*h**3 - 5*h**2. Suppose 8*b = 13*b - 10. Let g(a) = -a**3 + a**2. Let v(m) = b*t(m) + 6*g(m). Find j such that v(j) = 0.
-1, 0, 1
Let w(h) = -h**4 + 2. Let y(d) = -16*d**4 + 55*d**3 - 52*d**2 - 4*d + 4. Let b(o) = 2*w(o) - y(o). Suppose b(f) = 0. Calculate f.
-1/14, 0, 2
Suppose -163*g + 346 = 20. Suppose 0*m + 2/3*m**4 + 2/3*m**3 + 2/9*m**5 + 0 + 2/9*m**g = 0. What is m?
-1, 0
What is u in -7*u**2 - 9*u**2 + 2*u**5 - 24*u**3 + 1581*u - 1517*u + 4*u**4 = 0?
-4, -2, 0, 2
Let s(h) be the first derivative of -7*h**6/10 - 24*h**5/5 - 153*h**4/20 - 2*h**3 + 12*h**2/5 + 17. Suppose s(v) = 0. What is v?
-4, -1, 0, 2/7
Let v(q) be the second derivative of -1/49*q**7 + 0*q**4 + 16*q + 0 + 0*q**3 + 0*q**2 + 1/70*q**5 + 2/105*q**6. Factor v(g).
-2*g**3*(g - 1)*(3*g + 1)/7
Factor 4*x - 1/2*x**3 + 1/2*x**2 - 6.
-(x - 2)**2*(x + 3)/2
Let o = 339 - 334. Let y(i) be the third derivative of -6*i**2 + 0*i + 0 - 1/36*i**o + 1/9*i**4 + 1/360*i**6 - 2/9*i**3. Factor y(t).
(t - 2)**2*(t - 1)/3
Let h = 432/649 + 2/1947. Factor 0*x + 0 - 4/3*x**2 + h*x**3.
2*x**2*(x - 2)/3
Let l be (-2)/(-30) + 9/27. Let u be -3 + (-5 - -4) + 4. Factor -l*y**3 + u + 0*y + 2/5*y**2.
-2*y**2*(y - 1)/5
Let l = -910/9 - -11815/117. Let c = l + 59/156. Factor 3/4 - v + c*v**2.
(v - 3)*(v - 1)/4
Let c(p) be the first derivative of -1/2*p**2 - 1/5*p**5 + 0*p + 1/3*p**3 + 1/4*p**4 - 14. Find g, given that c(g) = 0.
-1, 0, 1
Let a(w) = w**2 - 12*w - 9. Let h be a(13). Suppose -5*g + 8 = z, 3*z - 5*z + 10 = h*g. Factor -j**2 + j**5 - z*j**4 + 4*j**3 - 5*j**3 + 4*j**3.
j**2*(j - 1)**3
Let z = -79 - -78. Let f(c) = c**3 + c**2. Let j(d) = 8*d**3 + 12*d**2. Let g(q) = z*j(q) + 6*f(q). Factor g(w).
-2*w**2*(w + 3)
Suppose -9*x + 12 = -3*x. Let v(s) be the third derivative of 7*s**x + 0*s**4 + 0*s + 0 + 1/6*s**3 - 1/60*s**5. Determine d so that v(d) = 0.
-1, 1
Let a = -1185 + 5972/5. Let j = a - 507/55. Determine l, given that 0 - 4/11*l + j*l**3 + 2/11*l**2 = 0.
-2, 0, 1
Let u(l) be the first derivative of -1/2*l + 1/12*l**3 + 1/8*l**2 - 17. Determine a, given that u(a) = 0.
-2, 1
Factor 988/3*t + 1/3 + 244036/3*t**2.
(494*t + 1)**2/3
Let c(q) be the first derivative of -q**6/720 + q**4/12 + 4*q**3/9 - 11*q**2 + 10. Let g(i) be the second derivative of c(i). Factor g(h).
-(h - 4)*(h + 2)**2/6
Let t be 2*-10*(-14)/140. Factor -2/7*d**3 + 22/7*d + 12/7 + 8/7*d**t.
-2*(d - 6)*(d + 1)**2/7
Determine j, given that 30*j**2 + 20*j + 2*j**3 - 7*j**3 - 40 + 376*j**4 - 190*j**4 - 191*j**4 = 0.
-2, 1, 2
Let d(b) be the second derivative of -b**8/1680 - b**7/525 + b**6/200 + b**5/75 - b**4/30 - 3*b**2 - 3*b. Let n(h) be the first derivative of d(h). Factor n(l).
-l*(l - 1)**2*(l + 2)**2/5
Factor 11/5*p - 1/2*p**2 - 4/5.
-(p - 4)*(5*p - 2)/10
Let u(r) be the second derivative of -r**8/5376 + r**7/1008 + r**6/576 - r**5/48 + r**4 - 6*r. Let j(t) be the third derivative of u(t). Factor j(n).
-5*(n - 2)*(n - 1)*(n + 1)/4
Let g(l) be the third derivative of -5*l**8/336 + 11*l**7/21 - 13*l**6/4 + 28*l**5/3 - 365*l**4/24 + 15*l**3 - 529*l**2. Factor g(u).
-5*(u - 18)*(u - 1)**4
Let b = -551 + 928. What is a in -19*a**2 + b*a + 4*a**3 + 72 + 3*a**2 - 389*a = 0?
-2, 3
Solve 24/5*v + 12/5*v**5 - 51/5*v**4 - 66/5*v**2 - 3/5 + 84/5*v**3 = 0.
1/4, 1
Let u be (-1 - -5 - 6) + 2*1. Let s(l) be the second derivative of -3/4*l**3 + u + 0*l**4 + 3/2*l**2 + 3/40*l**5 - 3*l. Factor s(m).
3*(m - 1)**2*(m + 2)/2
Factor -50 - 2*u + 0*u**2 - u**2 + 38 - 6*u.
-(u + 2)*(u + 6)
Let v(r) = -25*r**2 - 7020*r + 273780. Let b(a) = -3*a**2 - 780*a + 30420. Let f(c) = 35*b(c) - 4*v(c). Factor f(n).
-5*(n - 78)**2
Let u(g) be the first derivative of 5*g**3/3 - 15*g**2/2 + 94. Determine t so that u(t) = 0.
0, 3
Let i(j) be the third derivative of 4*j**2 - 1/9*j**3 + 0 - 1/36*j**5 + 11/72*j**4 + 0*j. Determine s, given that i(s) = 0.
1/5, 2
Let s = 101 - 71. Let j be ((-15)/(-27))/(25/s). Solve -2/3*y**3 + 0*y + 0 + j*y**2 = 0.
0, 1
Let w(k) be the third derivative of -k**7/1890 - k**6/270 - 5*k**4/24 - 2*k**2. Let h(u) be the second derivative of w(u). Factor h(p).
-4*p*(p + 2)/3
Let l = -1113/20 + 282/5. Let r(i) be the first derivative of -3/4*i**5 - 5 - 1/4*i**3 + l*i**2 - 3/2*i**4 + 0*i. Factor r(y).
-3*y*(y + 1)**2*(5*y - 2)/4
Let k(p) be the third derivative of 0*p + 0*p**3 - 1/80*p**5 - 1/480*p**6 + 0 - 3*p**2 + 0*p**4 + 1/280*p**7 + 1/1344*p**8. Factor k(h).
h**2*(h - 1)*(h + 1)*(h + 3)/4
Let r(f) = f**2. Let w be r(2). Factor 7*z**2 + 4*z**5 - w*z**4 + 10*z**2 - 12*z**3 - 11*z + 3*z + 3*z**2.
4*z*(z - 1)**3*(z + 2)
Factor -1/3*c**2 - 74/3*c - 1369/3.
-(c + 37)**2/3
Let w(f) = 2*f - 22. Let c be (-4)/8*2 + 12 - -2. Let j be w(c). Let -3/4*s + 3*s**2 + 0 + 3/2*s**j - 15/4*s**3 = 0. Calculate s.
0, 1/2, 1
Suppose 1705 - 1912 = -69*a. Factor -18/19*t + 10/19 + 2/19*t**a + 6/19*t**2.
2*(t - 1)**2*(t + 5)/19
Let p(u) be the third derivative of u**5/300 - 11*u**4/120 + 3*u**3/5 + 19*u**2 + u. Factor p(v).
(v - 9)*(v - 2)/5
Let s = 101 + -176. Let h = 77 + s. Let 59/3*k**4 + 4/3 + 32/3*k + 4*k**5 + 106/3*k**3 + 29*k**h = 0. What is k?
-2, -1, -2/3, -1/4
Let h(q) be the third derivative of -q**8/840 - q**7/525 + q**6/10 - 37*q**5/75 + 67*q**4/60 - 7*q**3/5 - 165*q**2 + 2*q. Suppose h(x) = 0. What is x?
-7, 1, 3
Let g(v) = 2*v + 28. Let u be g(-13). Determine d, given that -d + 109*d**u + 9*d - 6 - 56*d**2 - 55*d**2 = 0.
1, 3
Let w(p) = -33*p**3 + 30*p**2 - 6*p**4 + 27*p**5 + 9 + 9 - 6*p - 11*p**4 - p**4. Let j(s) = -s**2 + s - 1. Let o(i) = 18*j(i) + w(i). Factor o(d).
3*d*(d - 1)**2*(3*d + 2)**2
Find m, given that -2*m**3 + 9*m**3 + 13*m**4 + 11*m**4 - 23*m**4 = 0.
-7, 0
What is l in 12*l**2 + 57000*l**3 - 56996*l**3 - 34*l - 20 + 2*l**2 = 0?
-5, -1/2, 2
Let u(s) = 2*s**2 + 65*s - 3564. Let a be u(29). What is v in 0*v - 4/3*v**4 + 2/3*v**5 + 0 + 4/3*v**2 - 2/3*v**a = 0?
-1, 0, 1, 2
Let k(j) be the first derivative of -j**5/15 + 5*j**4/12 - 8*j**3/9 + 2*j**2/3 - 297. Find q such that k(q) = 0.
0, 1, 2
Determine p, given that -34/11*p**2 - 38/11*p - 4/11 = 0.
-1, -2/17
Suppose 3*r - 2*r - 143 = 4*a, 3*a + 86 = 5*r. Let h = 41 + a. Factor 4/9*k + 14/9*k**2 + 2/9*k**5 + 10/9*k**h + 2*k**3 + 0.
2*k*(k + 1)**3*(k + 2)/9
Let u = 2780 + -2780. Find g such that -g + 1/3*g**3 + u*g**2 + 2/3 = 0.
-2, 1
Let p be (-5*(-48)/10)/5. Let 1/5*y**3 + 192/5*y - p*y**2 - 512/5 = 0. What is y?
8
Let v = -1 + 201. Let b = 401/2 - v. Factor 1/4 - b*m**3 + 1/2*m**2 - 3/4*m**4 + 3/4*m - 1/4*m**5.
-(m - 1)*(m + 1)**4/4
Factor -d**2 + 14*d - 20*d - 22*d.
-d*(d + 28)
Let d(v) = 5*v**2 - 17*v + 10. Let q = 146 + -26. Let s(m) = 72*m + 2*m + 131*m - q - 60*m**2. Let h(c) = 25*d(c) + 2*s(c). Determine r, given that h(r) = 0.
1, 2
Suppose 8*h - 7*h - 3 = 0. Suppose 2*p + 2 = h*p. Factor 5 + 4 + d - 9 + d**p.
d*(d + 1)
Solve -54*u**2 + 34*u**3 - 191*u**4 + 190*u**4 - 85*u**2 - 50*u**2 - 100*u**2 = 0.
0, 17
Let q(z) be the first derivative of 2*z**3/3 - 18*z - 54. Factor q(o).
2*(o - 3)*(o + 3)
Let q(s) be the first derivative of 3/14*s**4 + 0*s**2 + 2/21*s**3 - 4 + 6/35*s**5 + 0*s + 1/21*s**6. Factor q(o).
2*o**2*(o + 1)**3/7
Let l be 24/36 - 8/(-6). Factor 16*r**3 - 5*r - 4*r**5 - 4*r**2 - 4*r**l + 8 - 6*r - r.
-4*(r - 1)**3*(r + 1)*(r + 2)
Let m(y) = 2*y**2 + y - 1. Let p(g) = -84*g**4 + 129*g**3 + 106*g**2 - 31*g - 5. Let u(s) = 5*m(s) - p(s). Determine j so that u(j) = 0.
-3/4, 0, 2/7, 2
Factor -2*r**4 + 16*r + 27*r**3 - 2*