 + 44*q + 11 + 6*q**2 - k*q**3 - 5 = 0.
-1, -1/4, 2
Let l(m) be the first derivative of 2*m**5 - 6*m**4 + 6*m**3 - 2*m**2 - 209. Factor l(h).
2*h*(h - 1)**2*(5*h - 2)
Find u, given that 8/5*u**4 - 12/5*u - 32/5*u**2 - 12/5*u**3 + 0 = 0.
-1, -1/2, 0, 3
Find y, given that 0 + 1/2*y**2 - 1/2*y**4 - 35/4*y + 9*y**3 - 1/4*y**5 = 0.
-7, -1, 0, 1, 5
Let i(g) be the first derivative of -105*g**4/4 - 160*g**3/3 - 35*g**2/2 + 27. Let u(n) = -35*n**3 - 53*n**2 - 12*n. Let z(q) = 3*i(q) - 10*u(q). Factor z(a).
5*a*(a + 1)*(7*a + 3)
Let t(a) = a**2 - 15*a - 23. Let l be t(16). Let f(v) = v**3 + 6*v**2 - 9*v - 8. Let k be f(l). Factor -22*i**2 - 7*i - 2*i + 25*i**2 + k.
3*(i - 2)*(i - 1)
Let n(o) be the third derivative of -o**6/270 - o**5/45 - o**4/18 + 2*o**3 - 7*o**2. Let g(u) be the first derivative of n(u). Find d, given that g(d) = 0.
-1
Let d(a) be the second derivative of 0 + 0*a**5 + a - 7/2*a**2 - 1/40*a**6 + a**3 + 3/8*a**4. Let m(o) be the first derivative of d(o). Factor m(p).
-3*(p - 2)*(p + 1)**2
Solve -251 - 231 + 285*h + 23*h + 362 - 20*h**2 = 0.
2/5, 15
Find y such that -6*y + 9*y**3 + 3*y**4 + 2*y**2 + 3*y**4 + y**2 - 3*y**5 - 9*y**4 + 0*y**5 = 0.
-2, -1, 0, 1
Let b(t) be the first derivative of -1/9*t**6 - 20 + 0*t + 1/6*t**4 + 2/15*t**5 - 2/9*t**3 + 0*t**2. Determine d so that b(d) = 0.
-1, 0, 1
Let i(q) = 15*q**2 - 24*q + 19. Let r(g) = 31*g**2 - 47*g + 37. Let s(k) = -13*i(k) + 6*r(k). Factor s(c).
-(3*c - 5)**2
Let m(b) = 12*b**2 + 2*b + 1. Let s(l) be the third derivative of l**5/60 + 11*l**2. Let h(i) = 2*m(i) - 22*s(i). What is c in h(c) = 0?
-1
Let p(f) = 5*f**2 + 60*f + 100. Let s(i) = -5*i**2 - 59*i - 98. Let k(h) = -4*p(h) - 5*s(h). Factor k(x).
5*(x + 2)*(x + 9)
Let v(b) = 3*b**3 - 20*b**2 - 25*b + 98. Let k(u) = 4*u**3 - 22*u**2 - 26*u + 98. Let j(a) = 4*k(a) - 5*v(a). Factor j(i).
(i - 2)*(i + 7)**2
Let h be ((-12)/30)/((-1)/20). Suppose 5*m + 3*j - 3 = 0, -4*m - 5*j = -0*j + h. Determine u so that -7*u**2 + 8*u**2 - m*u + 4*u + 1 - 3*u = 0.
1
Let d(b) be the second derivative of -25*b**7/21 - 7*b**6/3 + 29*b**5/10 + 47*b**4/6 - 8*b**3/3 - 16*b**2 - 67*b - 1. Factor d(g).
-2*(g + 1)**3*(5*g - 4)**2
Let m be -3*(496/40 + -13). Suppose 1/5*c**2 - 8/5*c - m = 0. What is c?
-1, 9
Let w be ((-608)/(-57) - 11) + (32/6 - 3). Let 20/7*b**4 - 16/7*b**w - 4/7 + 6/7*b**5 + 12/7*b**3 - 18/7*b = 0. Calculate b.
-2, -1, -1/3, 1
Let r(o) be the second derivative of 0*o**2 - 1/6*o**6 - 15*o - 1/4*o**5 + 0*o**4 + 0 + 0*o**3. Factor r(m).
-5*m**3*(m + 1)
Let o(j) = j**5 - 2*j**4 + j**3 - 4*j**2 - 4*j + 4. Let t(v) = 13*v - 10*v + v**2 - v**4 - 1 - v**5 - v**3 - 2*v. Let n(q) = -o(q) - 4*t(q). Factor n(s).
3*s**3*(s + 1)**2
Suppose 16*k - 258 = -178. Suppose 0 = 4*t - 5*t + 12. Determine c so that 12*c - 3/4*c**k + 21/4*c**4 - t + 6*c**2 - 12*c**3 = 0.
-1, 2
Factor -5*t**2 + 6*t**4 + 4*t**5 - 4*t**4 + 3*t**2 - t**5 - t**5 - 2*t**3.
2*t**2*(t - 1)*(t + 1)**2
Let r = 11 + -6. Suppose 13*w - w**3 - 2*w**3 - 12 - 5*w - r*w**3 + 16*w**2 - 4*w**4 = 0. What is w?
-3, -1, 1
Let i = 104 - 101. Factor 5*s**3 - 2*s**2 + i*s**2 - 6*s**3 + 0*s**2 + s - 1.
-(s - 1)**2*(s + 1)
Suppose -4*y - 6 = -22. Find n, given that -2*n - 3*n**2 - 3 - y*n + 3 - 3 = 0.
-1
Suppose -b - 3*u = 268, 0 = -8*b + 5*b - 5*u - 808. Let f = 545/2 + b. Factor 6*j + 6*j**3 + f*j**4 + 9*j**2 + 3/2.
3*(j + 1)**4/2
Let h = -67/9 + 73/9. Factor h*u**2 + 2 - 8/3*u.
2*(u - 3)*(u - 1)/3
Let f be (-2)/4 + (-44)/(-8) + -2. Let l be (f + (-46)/14 - 0)*-1. Find c, given that 4/7*c - 2/7 - l*c**2 = 0.
1
Let k = 426 - 424. Factor 0 + 0*b - 5/2*b**3 - 1/2*b**5 + b**k + 2*b**4.
-b**2*(b - 2)*(b - 1)**2/2
Let 107/3*b**2 - 190/9*b + 25/9 + 16/9*b**4 + 152/9*b**3 = 0. What is b?
-5, 1/4
Let n(t) be the second derivative of t**8/6720 + t**7/1120 + t**6/720 + 25*t**3/6 + 23*t. Let c(m) be the second derivative of n(m). Factor c(r).
r**2*(r + 1)*(r + 2)/4
Factor 860/3*x**2 + 50*x**4 + 142/3 + 580/3*x**3 + 2/3*x**5 + 190*x.
2*(x + 1)**4*(x + 71)/3
Let l(i) be the third derivative of -i**10/120960 + i**9/60480 + i**8/13440 - 19*i**4/24 - 13*i**2. Let v(k) be the second derivative of l(k). Factor v(c).
-c**3*(c - 2)*(c + 1)/4
Suppose -3*q - 4*i + 35 + 21 = 0, -20 = -4*i. Factor q*f**2 - 36 - 333*f + 285*f + 100 - f**3.
-(f - 4)**3
Let p(r) = -2*r + 10. Let u be p(5). Suppose 3*b + u - 6 = 0. Let 0*k**b - 1/2*k + 1/2*k**3 + 0 = 0. What is k?
-1, 0, 1
Let l(j) be the third derivative of 0 + 1/50*j**5 + 0*j**4 + 0*j + 0*j**3 + 9*j**2 + 7/200*j**6. Factor l(z).
3*z**2*(7*z + 2)/5
Let r be (-1)/(-21) - 15334/(-7854). Factor 4/9*k + 2/9 + 2/9*k**r.
2*(k + 1)**2/9
Let h(r) = 126*r**3 - 255*r**2 + 111*r - 3. Let f(z) = 63*z**3 - 128*z**2 + 55*z - 2. Let t(i) = -7*f(i) + 4*h(i). Factor t(y).
(y - 1)**2*(63*y + 2)
Let b(h) be the first derivative of -27 + 1/3*h**6 + 2*h - h**4 + h**2 - 4/3*h**3 + 2/5*h**5. Factor b(n).
2*(n - 1)**2*(n + 1)**3
Let u(g) be the third derivative of g**8/5880 - g**7/1470 - g**6/420 + 29*g**3/6 - 41*g**2. Let y(n) be the first derivative of u(n). Factor y(q).
2*q**2*(q - 3)*(q + 1)/7
Let l(d) be the first derivative of d**6/72 + d**5/12 + 13*d**3/3 + 25. Let u(n) be the third derivative of l(n). Factor u(k).
5*k*(k + 2)
Factor 3 + 21/8*c - 3/8*c**2.
-3*(c - 8)*(c + 1)/8
Let d be ((1/3)/(-1))/(23 - 6116/264). Find y, given that -4/5*y**3 - 12/5 - 4/5*y**d + 4*y = 0.
-3, 1
Let j(l) = l**4 + l**3 - l**2 + 2*l + 1. Let x(r) = 6*r**4 - 6*r**3 + 6*r**2 + 18*r - 8. Let o(d) = 4*j(d) - x(d). Suppose o(z) = 0. What is z?
-1, 1, 2, 3
Let y = 1963/12 + -653/4. Factor 1/3*g**2 - 2/3 + y*g.
(g - 1)*(g + 2)/3
Let w(d) = 2*d**2 + 4*d - 18. Let m(n) be the first derivative of n**2/2 - n + 6. Let h(x) = 2*m(x) + w(x). Find p, given that h(p) = 0.
-5, 2
Let p(k) be the second derivative of k**6/660 + k**5/165 + k**4/132 + 15*k**2/2 - 37*k. Let n(j) be the first derivative of p(j). Factor n(t).
2*t*(t + 1)**2/11
Let g = 19041/80 - 238. Let l(z) be the second derivative of 0*z**2 - g*z**5 + 1/16*z**4 + 0 + 0*z**3 - 5*z. Let l(v) = 0. What is v?
0, 3
Let q(m) = -7*m**5 - 17*m**4 + 28*m**3 + 38*m**2 + 2*m. Let w(b) = -36*b**5 - 86*b**4 + 139*b**3 + 189*b**2 + 11*b. Let p(t) = -11*q(t) + 2*w(t). Factor p(z).
5*z**2*(z - 2)*(z + 1)*(z + 4)
Find w, given that 0 - 132*w**3 - 64/3*w**5 - 8/3*w - 97/3*w**2 - 560/3*w**4 = 0.
-8, -1/4, 0
Let q(h) be the second derivative of h**6/40 + h**5/20 - h**4/8 - h**3/2 - h**2 + 10*h. Let n(d) be the first derivative of q(d). Find z, given that n(z) = 0.
-1, 1
Let l(h) = 2*h**3 + 4*h**2 + 11*h + 9. Let k(m) = 3*m**3 + 6*m**2 + 11*m + 8. Let u(i) = 3*k(i) - 4*l(i). Determine w, given that u(w) = 0.
-4, -1, 3
Factor 124*g - 5766 - 2/3*g**2.
-2*(g - 93)**2/3
Let u(f) be the third derivative of 1/2*f**3 + 4*f**2 - 1/14*f**7 + 3/4*f**4 + 0 - 3/20*f**6 + 0*f + 1/5*f**5. Solve u(q) = 0.
-1, -1/5, 1
Let b = -39 + 43. Suppose 20*v**3 - 7*v**5 + 16*v**4 + 11*v**5 - b*v**3 = 0. What is v?
-2, 0
Let w(m) = 3*m**5 + 3*m**4 - 3*m**3 + m**2 - 4*m - 4. Let x(s) = s**5 + s**4 - s**3 - s - 1. Let d(z) = -w(z) + 4*x(z). Determine p, given that d(p) = 0.
-1, 0, 1
Let n(z) be the third derivative of -z**7/210 + z**6/8 + 206*z**2. Let n(r) = 0. Calculate r.
0, 15
Let y(x) be the first derivative of -1/30*x**5 + 0*x**3 - 11 + 1/12*x**4 - 1/6*x**2 + 1/6*x. Factor y(h).
-(h - 1)**3*(h + 1)/6
Suppose 0 = 3*k - 9, 0 = b + b - k + 7. Let a = 4 + b. Factor 24*f - 105*f**3 - 67*f**2 - 7*f**a - 19*f**2 + 12.
-3*(f + 1)*(5*f - 2)*(7*f + 2)
Let m(x) be the third derivative of 1/48*x**4 + 0 + 1/672*x**8 + 1/60*x**5 - 1/120*x**6 - 1/12*x**3 + 0*x - 1/420*x**7 + 15*x**2. Suppose m(f) = 0. Calculate f.
-1, 1
Let o(w) be the third derivative of 1/10*w**5 + 1/40*w**6 + 0 - 2*w**2 - w**3 + 0*w - 1/8*w**4. Factor o(s).
3*(s - 1)*(s + 1)*(s + 2)
Let z(f) = -28*f**3 + 60*f**2 + 16*f - 24. Let j(s) = -4*s**3 + 12*s**3 - 1 + 2*s**2 - s**3 - 8*s**3. Let o(c) = -24*j(c) + z(c). Factor o(r).
-4*r*(r - 4)*(r + 1)
Let j = 2283/1526 - -3/763. Solve 1/2*g**2 - j*g**3 + 0*g - 2*g**4 + 0 = 0 for g.
-1, 0, 1/4
Determine n, given that -6*n**4 - 16*n**5 + 8*n**3 + 12*n**2 - 6*n**4 + 3*n**3 + 5*n**3 = 0.
-1, -3/4, 0, 1
Let g be 4 + -2 - (0 - 0). Factor -25*z**2 + 16*z**2 - 26*z**g + 9*z**3 + 10*z + 15*z**4 + z**3.
5*z*(z - 1)*(z +