**2 + 3/4*b**s - 3/4*b + 0 = 0 for b.
-1, 0, 1
Determine w, given that -2/3*w**3 + 4*w**2 + 16/3 + 10*w = 0.
-1, 8
Let v be (-2*1)/((-122)/(-183)) - -5. Let o be 2/10*(-4)/(-2). Determine n so that 0*n**v - 2/5*n**4 + 4/5*n - 4/5*n**3 + o = 0.
-1, 1
Let b(z) be the first derivative of -11 + 2*z - 11/3*z**2 - 8/9*z**3. Factor b(i).
-2*(i + 3)*(4*i - 1)/3
Let p(y) be the third derivative of y**8/1176 - 4*y**7/735 + y**6/105 + y**5/105 - 5*y**4/84 + 2*y**3/21 - 317*y**2. Determine r so that p(r) = 0.
-1, 1, 2
Let l(z) be the first derivative of -z**7/4200 + z**6/300 - z**5/50 + z**4/15 + 4*z**3/3 + 12. Let n(i) be the third derivative of l(i). Factor n(g).
-(g - 2)**3/5
Solve -1/6*b**2 - 5*b - 29/6 = 0.
-29, -1
Suppose 54/5*n + 20 + 2/5*n**2 = 0. What is n?
-25, -2
Let w(g) be the second derivative of -2/5*g**6 + 13*g - 4/15*g**3 + 0*g**2 + 0 + g**4 + 2/25*g**5. Determine f so that w(f) = 0.
-1, 0, 2/15, 1
Suppose m - 378 - 197 = 0. Let o be m/5*4/10. What is j in -2*j**2 + o*j - 52*j - 13*j**2 + 48*j**3 - 27*j**4 = 0?
-2/9, 0, 1
Let v(m) be the second derivative of 0*m**4 + 0*m**3 - 1/189*m**7 - 2/135*m**6 + 0*m**2 + 0 - 1/90*m**5 - 14*m. Let v(i) = 0. What is i?
-1, 0
Suppose 0 + 14/15*u**3 + 2/15*u**4 + 4/3*u**2 + 0*u = 0. What is u?
-5, -2, 0
Factor -6*y**2 + 18*y**2 + 64*y - 8 + 3*y**3 - 5 - 67*y + 1.
3*(y - 1)*(y + 1)*(y + 4)
Let w = 89 + -85. Suppose 13 = 4*n + 5*t, n + w*t - 6 = -0*n. What is i in 1/3 + 0*i - 1/3*i**n = 0?
-1, 1
Let t(g) be the first derivative of g**6/8 - 6*g**5/5 + 33*g**4/8 - 7*g**3 + 51*g**2/8 - 3*g - 19. Factor t(f).
3*(f - 4)*(f - 1)**4/4
Let l = -42 - -46. Determine a so that 193*a + a**3 - l*a**2 + 5*a**2 - 193*a = 0.
-1, 0
Suppose -2*f = -4*x - 13 + 39, -4*f + 11 = x. Let z be 3/x - (2 - 2 - 3). Factor -z*w + 8/7 + 26/7*w**2 + 2/7*w**4 - 12/7*w**3.
2*(w - 2)**2*(w - 1)**2/7
Let -2/3*a**3 + 0*a - 56/3*a**2 + 0 = 0. Calculate a.
-28, 0
Factor 51*r**4 + 185*r**2 + 1 - 7 - 170*r**3 - 30*r - 6*r**4 - 10*r - 14.
5*(r - 2)*(r - 1)**2*(9*r + 2)
Factor 2/7*m**3 - 34/7*m - 2/7*m**2 - 30/7.
2*(m - 5)*(m + 1)*(m + 3)/7
Factor 44*f - 3*f**3 - 288 + 52*f - 58*f**2 + 64*f**2.
-3*(f - 4)**2*(f + 6)
Let b be (2/(-7) - (-160)/70)*1. Factor -2/3*k**3 + 0 - 4/3*k - 2*k**b.
-2*k*(k + 1)*(k + 2)/3
Suppose 4*u - z = z + 26, -2*u + 4*z = -28. Suppose -2*d + 2 = -u. Let 8*t**3 + 2*t**4 + 2*t**5 + d*t**4 + 3*t**4 = 0. Calculate t.
-2, 0
Let d(y) be the third derivative of 0*y + 0 + 0*y**3 + 1/30*y**4 - 1/150*y**5 + 17*y**2. Determine j, given that d(j) = 0.
0, 2
Suppose 5 = 5*j - 5. What is d in -1 - 3/4*d**j + 2*d = 0?
2/3, 2
Let z be 11*(372/33 - 11). Let x(j) be the first derivative of -3/2*j**2 + 13 + 3/2*j**4 + 0*j**z - 1/2*j**6 + 0*j + 0*j**5. Solve x(q) = 0 for q.
-1, 0, 1
Let j = 5 - 11. Let q be (j/(-4))/((-6)/(-16)). Factor 9*g**q + 3*g - 5*g**2 - 3*g**4 - g**2 - 3*g**5.
-3*g*(g - 1)**3*(g + 1)
Let i(b) = -b**2 + 21*b - 35. Let y be i(19). Let v(d) be the third derivative of 0*d + 0*d**y + 0*d**4 - 1/30*d**5 + 0 - 6*d**2. Find c such that v(c) = 0.
0
Let q(s) = s**3 - 11*s**2 + 2. Let f be q(11). Suppose -f*p + 20 = 4*k + p, -k - 5*p = 12. Factor 72*c**2 - 8*c - k*c - 4*c**3 - 56*c**2.
-4*c*(c - 2)**2
Let u(a) be the third derivative of a**7/17640 + a**6/630 - 3*a**5/280 - 7*a**4/12 - a**2 + 25*a. Let t(h) be the second derivative of u(h). Factor t(o).
(o - 1)*(o + 9)/7
Suppose b - 5*q - 18 = 0, 3*b + 3108*q = 3106*q + 3. Factor -3/7*j**4 + 24/7*j + 9/7 + 0*j**b + 18/7*j**2.
-3*(j - 3)*(j + 1)**3/7
Let z(s) = 20*s**3 - 25*s**2 - 20*s + 27. Let l(c) = 100*c**3 - 125*c**2 - 100*c + 136. Let v(q) = -2*l(q) + 11*z(q). Factor v(y).
5*(y - 1)*(y + 1)*(4*y - 5)
Let f(h) be the first derivative of -3*h**5/100 + h**4/10 - h**3/10 + 16*h - 25. Let y(a) be the first derivative of f(a). Factor y(r).
-3*r*(r - 1)**2/5
Let z(q) be the second derivative of 5*q - 1/6*q**4 + 6*q**2 + 5/3*q**3 + 0. Factor z(l).
-2*(l - 6)*(l + 1)
Let k = 389 + -777/2. Find z such that 1/4 - k*z**2 - 1/4*z = 0.
-1, 1/2
Let w(i) = -9*i**3 + 15*i + 6. Let g(q) = -q**3 + q. Let s = -20 + 19. Let n(t) = s*w(t) + 6*g(t). Factor n(d).
3*(d - 2)*(d + 1)**2
Let h(v) be the second derivative of -v**4/3 + 56*v**3/3 + 58*v**2 - 17*v - 1. Solve h(o) = 0 for o.
-1, 29
Factor 255*b + 100*b**2 + 4*b**3 - b**3 + b**3 + b**3.
5*b*(b + 3)*(b + 17)
Let a = 309038/11 - 27610. Let x = a + -484. Factor 2/11*b**2 - 2/11*b + 0 + x*b**3.
2*b*(b + 1)*(2*b - 1)/11
Let l(x) be the first derivative of -2 - 507/11*x**2 - 26/11*x**3 - 1/22*x**4 - 4394/11*x. Factor l(a).
-2*(a + 13)**3/11
Let f(a) = 6*a**2 - 3*a - 3. Let k be f(2). Let -3*v**2 + 2*v**4 + k*v**3 + 110*v**5 - 23*v**4 - 101*v**5 = 0. Calculate v.
0, 1/3, 1
Let o be (11/(11/(-6)))/((-8)/4). Let q(x) be the second derivative of 0 - 1/24*x**o - 1/168*x**7 + x + 0*x**6 + 1/40*x**5 + 0*x**4 + 0*x**2. Factor q(v).
-v*(v - 1)**2*(v + 1)**2/4
Let p(w) be the first derivative of -w**3/36 + 13*w**2/8 - 124. Find r, given that p(r) = 0.
0, 39
Factor -5*b**3 + 60 + 54*b - 29*b + 90*b + 50*b**2.
-5*(b - 12)*(b + 1)**2
Suppose 8*r - 26 = -5*r. Let d(b) = -2*b - 22. Let a be d(-11). Factor 1/7*y**r + a + 2/7*y.
y*(y + 2)/7
Let c(y) be the third derivative of -1/200*y**6 + 6*y**2 + 1/60*y**4 + 0 + 0*y + 7/600*y**5 + 1/3*y**3. Let x(l) be the first derivative of c(l). Factor x(h).
-(h - 1)*(9*h + 2)/5
Find a, given that -2*a**2 - 648/7*a - 184/7 = 0.
-46, -2/7
Factor -12/5 + 1/5*j**2 - 1/5*j.
(j - 4)*(j + 3)/5
Let i(n) be the first derivative of 17 - 3/10*n**2 - 1/20*n**4 - 4/15*n**3 + 0*n. Factor i(a).
-a*(a + 1)*(a + 3)/5
Let d(q) = 5 + 38*q**2 - 37*q**3 - 28 - 76*q - 121*q**2 - 4*q**4. Let b(r) = r**3 - r**2 - 1. Let v(y) = b(y) + d(y). Determine z so that v(z) = 0.
-6, -1
Let k(o) be the second derivative of 4*o**5/15 - o**4/3 - 2*o**3/9 - 65*o. Solve k(l) = 0 for l.
-1/4, 0, 1
Let u be (-708)/28*-9 + (-3)/(-7). Factor 6*x**4 - u*x**5 + 231*x**5 + 3*x**3 - 12*x**3.
3*x**3*(x - 1)*(x + 3)
Let d = 45 - 42. Factor 875*c - 875*c + 2*c**2 + 2*c**d.
2*c**2*(c + 1)
Let y(h) be the first derivative of h**4 + 104*h**3/3 + 258*h**2 + 720*h - 441. Suppose y(x) = 0. Calculate x.
-20, -3
Let a(d) = 17*d**2 - 20*d + 20. Let f(c) = -30*c**2 + 40*c - 40. Let o(p) = -5*a(p) - 3*f(p). What is r in o(r) = 0?
2
Let f(z) be the third derivative of 0*z**3 - 13*z**2 + 0 + 0*z**5 + 1/1080*z**6 + 0*z**4 + 0*z. Let f(k) = 0. What is k?
0
Let u(l) be the second derivative of -l**9/45360 - l**8/8640 + l**6/1620 - 5*l**4/4 - 14*l. Let g(n) be the third derivative of u(n). Factor g(d).
-d*(d + 1)*(d + 2)*(3*d - 2)/9
Factor p**4 + 0*p**2 - 29*p + 7*p - 2*p**3 + 4503 + 24*p**2 - 8*p**3 - 4496.
(p - 7)*(p - 1)**3
Let b(n) = 2*n**2 + 38*n + 38. Let s be b(-18). Let i be 0/(-1) - (-1 - 2). Find p, given that -6 + 6*p + 0*p - 3*p + i*p**s = 0.
-2, 1
Determine l so that -3*l**2 + 87*l + 42 + 2*l**2 + 4*l**2 - 60*l = 0.
-7, -2
Suppose 11*d + 2*d = 6*d - 16*d. Let r = -52/3 + 18. Factor -r*w + 2/3*w**4 + 2/3*w**3 + d - 2/3*w**2.
2*w*(w - 1)*(w + 1)**2/3
Let k be 3/(-2) + (3 - 1). Suppose 20*j + 26*j = 32*j. Suppose 3/2*m**2 - k*m + j = 0. Calculate m.
0, 1/3
Suppose -t + 3 = g, 3*g + g - 4*t + 12 = 0. Suppose g = 12*h - 3*h. Factor 0 + 0*s**2 + 3/5*s**4 + 0*s**3 + h*s.
3*s**4/5
Let v(j) be the third derivative of -j**6/40 - 13*j**5/20 - 23*j**4/8 - 11*j**3/2 - 139*j**2. Factor v(u).
-3*(u + 1)**2*(u + 11)
Let g be (-6 - -2)*6*4/(-4). Let b be g/60 - (-6)/(-15). Factor -2/3*w**3 + b + 4/3*w**2 + 0*w.
-2*w**2*(w - 2)/3
Factor 46/7*y + 2/7*y**3 - 18/7*y**2 - 30/7.
2*(y - 5)*(y - 3)*(y - 1)/7
Let n(w) be the first derivative of -w**5/10 - 5*w**4/6 - 7*w**3/3 - 3*w**2 + 4*w + 6. Let a(g) be the first derivative of n(g). Factor a(q).
-2*(q + 1)**2*(q + 3)
Let a(d) be the first derivative of -1/2*d**6 + 25 - 9/4*d**4 + d**2 + 0*d - 3/2*d**3 + 29/10*d**5. What is w in a(w) = 0?
-1/2, 0, 1/3, 1, 4
Let a(w) = -w**3 - 9*w**2 - 13*w + 9. Let z be (-4)/7 + (-495)/77. Let i be a(z). Factor 4/5*b**3 + 3/5*b**i - 4/5*b + 1/5*b**4 - 4/5.
(b - 1)*(b + 1)*(b + 2)**2/5
Factor 4/3 + 5/3*r**2 + 8/3*r + 1/3*r**3.
(r + 1)*(r + 2)**2/3
Let y(c) = c**2 - c - 2. Let w(g) = -3*g**3 - 9*g**2 - 15*g - 6. Let j(b) = w(b) - 3*y(b). Factor j(q).
-3*q*(q + 2)**2
Let p be ((-2980)/(-48))/5 + (-3)/18. Determine a