e of 1/110*l**5 + 2/33*l**3 - 16*l + 0 + 0*l**2 + 1/22*l**4. Factor k(q).
2*q*(q + 1)*(q + 2)/11
Suppose -50/3 + 2/3*c**3 + 6*c**2 + 10*c = 0. Calculate c.
-5, 1
Solve -55*c**4 - 3*c**2 + 105*c**4 + c**3 - 2*c - 47*c**4 + c**5 = 0.
-2, -1, 0, 1
Suppose g + 14 = 4*b - g, 5 = -2*b - 3*g. Let x be b/(-1*(-6)/183). Factor 22*t**3 - 5*t + 5*t + 18*t**4 - x*t**2 + 65*t**2.
2*t**2*(t + 1)*(9*t + 2)
Let b be 9288/35475 + 4/(-50). Let u(q) be the first derivative of 3/11*q**2 + 1/22*q**4 - 2/11*q - b*q**3 - 7. Let u(i) = 0. What is i?
1
Let i(d) = 12*d**2 + 36*d. Let s be (-2)/5*(4/(-4) - 4). Let n(u) = -3*u**2 - 9*u. Let m(o) = s*i(o) + 9*n(o). Solve m(l) = 0.
-3, 0
Suppose 41*c - 36*c = 0. Factor 0 + 2/3*o**3 + 4/3*o**2 + c*o - 14*o**4.
-2*o**2*(3*o - 1)*(7*o + 2)/3
What is b in -34*b**2 - 139/2*b + 1/2*b**3 - 35 = 0?
-1, 70
Factor -2*f**2 + 16 - 4*f**4 + 2*f**5 - 20*f**3 - 79*f + 111*f + 5*f**2 + f**2 + 2*f**5.
4*(f - 2)**2*(f + 1)**3
Let l be ((-2)/(-4))/(2/20). Suppose 19 = s + 4*a, 3*s - l*a + 6 = -5. Factor 4*p**s - 3*p - 3*p + 2*p.
4*p*(p - 1)*(p + 1)
Let w(t) be the second derivative of t**4/12 - 19*t**3/6 + 24*t**2 - 59*t - 3. Determine m, given that w(m) = 0.
3, 16
Let s be 24/78*39/6. Let m(j) be the second derivative of 0 + 1/20*j**5 + 0*j**s + 1/3*j**3 - 1/4*j**4 + 3*j. Let m(a) = 0. Calculate a.
0, 1, 2
Suppose -227*p - 40 - 6*p**2 + 180*p + 111*p = 0. Calculate p.
2/3, 10
Suppose -7 + 22 = 5*y. Suppose 0 = 5*q + 15, 2*o - 3 = -2*q + y. Determine l so that 83 + 4*l**2 - 83 + 0*l**3 - o*l**3 + 2*l**4 = 0.
0, 1, 2
Suppose -2*n + 4*h = -152, -n + 35 = 2*h - 37. Let r = n + -72. Determine k, given that -9/2*k**r - 3*k + 0 = 0.
-2/3, 0
Suppose z = 7*z - 18. Factor 5*r**3 + r**z + 20*r**2 - 16*r - 4*r + 9*r**3.
5*r*(r + 2)*(3*r - 2)
Let w(l) = -9*l**4 - 45*l**3 + 178*l**2 - 20*l - 242. Let r(k) = 245*k**4 + 1215*k**3 - 4805*k**2 + 540*k + 6535. Let q(t) = 2*r(t) + 55*w(t). Factor q(n).
-5*(n - 2)**2*(n + 1)*(n + 12)
Let x(n) be the first derivative of 0*n + 4/9*n**3 - 14 - 1/6*n**4 + 0*n**2. Determine r, given that x(r) = 0.
0, 2
Let r be (0 - 4/(-8))*4. Suppose -r - 4 = -3*g. Let g*t + t**3 + 2*t**2 + 0*t - 2*t = 0. Calculate t.
-2, 0
Let q(o) be the second derivative of -o**5/150 + 2*o**4/5 - 36*o**3/5 - 6*o + 2. Solve q(v) = 0.
0, 18
Let p(r) = -r**3 - 3*r**2 + 2. Let q be p(-3). Let s be q/6 - (-175)/15. Factor 3*n**2 - s*n + 4*n + 5*n.
3*n*(n - 1)
Let q be 6 + ((4560/(-36))/(-20) - 9). What is t in -q*t**2 + 8/3 - 16/3*t = 0?
-2, 2/5
Suppose 4*g + 5*n = 2*n + 11, -23 = -9*g - 5*n. Factor 1/3*i**g - i - 4/3.
(i - 4)*(i + 1)/3
Let d(r) = 43*r**3 - 49*r**2 + 25*r + 16. Let u(l) = 14*l**3 - 17*l**2 + 8*l + 5. Let h(j) = -2*d(j) + 7*u(j). Determine p so that h(p) = 0.
-1/4, 1
Let n(b) be the first derivative of 0*b - 10*b**2 + 4/3*b**3 - 13. Suppose n(a) = 0. Calculate a.
0, 5
Let a(z) be the third derivative of z**5/420 + 5*z**4/56 + 4*z**3/3 + 6*z**2 + 8*z. Factor a(c).
(c + 7)*(c + 8)/7
Let -4*j**2 + 30 + 69*j**2 + 163*j + 125*j - 83*j = 0. Calculate j.
-3, -2/13
Let 6120/13*n**2 + 320/13 + 250/13*n**4 + 5300/13*n**3 + 2416/13*n = 0. What is n?
-20, -2/5
Let w be 3 - -2 - 2/2. Factor -m**2 + m**w - 3*m**3 + 3*m**3.
m**2*(m - 1)*(m + 1)
Let p(q) be the second derivative of -q**7/840 + q**6/360 - q**3/6 - 4*q. Let b(u) be the second derivative of p(u). Factor b(t).
-t**2*(t - 1)
Suppose -8 = 2*a, 3*j + 2*j + 32 = -3*a. Let l be (-60)/(-88) - (-1)/22*j. Let 1/4*c - 1/4*c**2 + l = 0. Calculate c.
-1, 2
Let j = -2717 + 434723/160. Let z(b) be the third derivative of -1/80*b**5 + 1/448*b**8 + 0*b**3 + 5*b**2 + j*b**6 + 0*b + 0 - 3/280*b**7 + 0*b**4. Factor z(i).
3*i**2*(i - 1)**3/4
Let i(u) = -u**3 + u**2 + 2. Let w(n) = 8*n**3 + 12*n**2 + 4*n - 4. Let h(b) = 4*i(b) + 2*w(b). Find d such that h(d) = 0.
-2, -1/3, 0
Let h be 5 + (-6)/9*3. Suppose -2*z + 3*z = h. Factor 6*m**2 + 0*m + 5*m**3 - m + m**2 + z*m.
m*(m + 1)*(5*m + 2)
Let s be (4/(-6))/(7 - (-428)/(-60)). Factor -1 - 4 - y - 3*y**2 + s*y + 4*y**2.
(y - 1)*(y + 5)
Factor -24*k + 43*k**3 - 45*k**4 + 36*k**5 + 116*k**2 - 11*k**5 - 169*k**3.
k*(k - 3)*(k + 2)*(5*k - 2)**2
Let a = 21291 - 234193/11. Factor 8/11 + a*l**2 - 34/11*l.
2*(l - 4)*(4*l - 1)/11
Let p(b) be the third derivative of -1/42*b**4 - 1/420*b**6 + 0 - 1/147*b**7 + 0*b + 1/42*b**5 + 0*b**3 + 1/392*b**8 - 3*b**2. Let p(j) = 0. Calculate j.
-1, 0, 2/3, 1
Let u(x) be the third derivative of 0*x**3 + 4*x**2 + 1/60*x**5 + 0*x + 0 - 1/8*x**4. Find a such that u(a) = 0.
0, 3
Let i = 5/102 + 2/17. Suppose -3*n = -4*k - 7, 11 = 7*k - 9*k + 3*n. Suppose -1/6*t**k + 0 - i*t = 0. What is t?
-1, 0
Let i(u) = -16*u - 12. Let t be i(-1). Suppose 2*w + 2*z = t, -2*w + 5*z + 8 = 2*w. Factor -6*s - 3/2*s**w - 6.
-3*(s + 2)**2/2
Let m(g) be the second derivative of -g**6/135 - g**5/15 - g**4/54 + 8*g**3/9 - 16*g**2/9 + 2*g + 10. Factor m(k).
-2*(k - 1)**2*(k + 4)**2/9
Let x = 39 + -39. Suppose 7*o - 14 = -x*o. Factor 0*f + 0 + 2/5*f**o.
2*f**2/5
Let i(y) be the second derivative of 2*y**7/21 - y**6/8 - y**5/12 - 9*y**2/2 + 32*y. Let g(c) be the first derivative of i(c). Factor g(r).
5*r**2*(r - 1)*(4*r + 1)
Let m be (6 - -4)*4/10. Suppose -2*n**2 + 2*n**m - 6*n**3 - 6*n - 4*n + 16*n = 0. What is n?
-1, 0, 1, 3
Factor -7*s - 12*s**2 + 2 - 128*s**2 - 128*s - 5*s**3 - 2.
-5*s*(s + 1)*(s + 27)
Suppose -9 = -5*g + 1. Suppose 18 - 2*k + k**g - 4*k**2 - 13*k = 0. What is k?
-6, 1
Let d be (0 + (-4)/(-10))/(234/234). Suppose 6/5*h**3 - d*h**4 - 6/5*h**2 + 2/5*h + 0 = 0. What is h?
0, 1
Let q be (-6)/84*1096/(-24) - 3/(-18). Solve q*k + 48/7 + 3/7*k**2 = 0 for k.
-4
Let y = -20254 - -20258. Factor 10*u + 3/2*u**2 - 35*u**3 - 2 - 49/2*u**y.
-(u + 1)**2*(7*u - 2)**2/2
Let w(x) be the first derivative of -x**4/14 - 4*x**3/21 + 8*x**2/7 + 43. Factor w(f).
-2*f*(f - 2)*(f + 4)/7
Let s(m) = 3*m**2 + 1. Let q(w) = -2*w**2 + 32*w + 59. Let c(o) = -q(o) - s(o). Factor c(v).
-(v + 2)*(v + 30)
Let n(c) = -3*c**2 - 19*c + 72. Let z be (-3*2/2)/1. Let s(o) = -2*o**2 - 9*o + 36. Let l(m) = z*n(m) + 5*s(m). Factor l(w).
-(w - 6)**2
Suppose -m = 0, 0 = -4*f + 4*m + m. Let b(u) be the third derivative of 2*u**2 + f*u**3 + 1/330*u**5 + 0*u + 0 + 1/132*u**4. Factor b(l).
2*l*(l + 1)/11
Let f(s) = -s**2 - 5*s - 4. Let c be f(-3). Suppose -5*b = -x - 7, 0 = b + 3*b - 2*x - c. Let m**3 + 1 - 2*m**b + m**2 - m + 0*m = 0. Calculate m.
-1, 1
Suppose 0 = 2*j + 4*v + 10, 2*j - 10 = -3*v - 16. Determine l so that -4/7 + 2/7*l**j + 6/7*l**2 - 2/7*l**4 - 2/7*l = 0.
-1, 1, 2
Suppose -t - 8 + 71 = 0. Factor -i**2 + 3*i**2 - 62*i**3 + t*i**3 + i.
i*(i + 1)**2
Let g = -82 - -84. Let k(h) = -h**3 + 11*h**2 + 11*h + 16. Let u be k(12). Solve 8 - u*f + 1/2*f**g = 0.
4
Let y = 2 + 0. Factor -2*o**3 - 8*o + 16 + 60*o**y + 52*o**3 - 64*o.
2*(o + 2)*(5*o - 2)**2
Let a = 6/31 + 8/279. Let c be ((-24)/20)/(54/(-20)). Determine d so that 0 + 0*d + c*d**3 + 2/9*d**4 + a*d**2 = 0.
-1, 0
Let j(v) be the first derivative of v**4/12 + 4*v**3/9 - 7*v**2/6 - 10*v/3 - 294. Suppose j(p) = 0. What is p?
-5, -1, 2
Let y be 464/(-14) + (-2)/(-14). Let r be (2 + -5)/(-1) - (-77)/y. Factor -1/6*p**5 + 2/3*p**2 + 0 - 1/6*p - p**3 + r*p**4.
-p*(p - 1)**4/6
Let w be (-9)/(-45)*(-50)/(-6). Let u be 2/1 - (-1 + 1). Suppose -1/3 + 2*q - w*q**u = 0. Calculate q.
1/5, 1
Let k be (4/6)/((-12)/(-234)). Let b(a) = -10*a**2 - 23*a + 20. Let y(j) = -5*j**2 - 11*j + 10. Let g(t) = k*y(t) - 6*b(t). Factor g(w).
-5*(w - 1)*(w + 2)
Let u(r) be the second derivative of -r**7/3 - 16*r**6/15 + 3*r**5/10 + 8*r**4/3 + 4*r**3/3 + 10*r. Suppose u(o) = 0. Calculate o.
-2, -1, -2/7, 0, 1
Let b(g) be the second derivative of -7/3*g**3 + 2*g**2 + 2/5*g**5 + 0 + 9*g + g**4 - 8/15*g**6 + 1/7*g**7. Factor b(h).
2*(h - 1)**3*(h + 1)*(3*h - 2)
Let n be (-4)/((-12)/9)*-1. Let p be 2004/36 + (-4)/n. Factor 57 - p + 8*f**3 - 4*f**2 - 4*f**4.
-4*f**2*(f - 1)**2
Let k(o) = -6*o**2 - 48*o. Let j(b) = -13*b**2 - 95*b. Let f(a) = -3*j(a) + 7*k(a). Factor f(m).
-3*m*(m + 17)
Let j(m) be the third derivative of -8*m**2 + 0*m**3 + 5/72*m**8 - 7/18*m**6 + 2/9*m**4 + 0*m + 13/105*m**7 + 0 - 2/15*m**5. Determine v, given that j(v) = 0.
-2, -2/5, 0, 2/7, 1
Let j(o) = -o**3 + o + 1. Let i(y) = -3*y**3 - 3*y**2 + 3*y + 7. Let g(n) = 3*i(n) - 12*j(n). Facto