**5/60 + g**3/6 - 8*g**2. Let b(q) = -i(q) - r(q). Factor b(n).
3*n*(n + 3)
Let n(r) be the third derivative of -1/20*r**5 + 1/30*r**6 + 0*r + 0*r**4 - 10*r**2 + 0 + 0*r**3 - 1/210*r**7. Factor n(l).
-l**2*(l - 3)*(l - 1)
Let s(b) = -13*b**3 - 3*b**2 - 9. Let v(g) = -2*g + 12. Let r be v(7). Let i(m) = -1 - 1 + 0*m**2 - 3*m**3 - m**2. Let z(t) = r*s(t) + 9*i(t). Factor z(c).
-c**2*(c + 3)
Let i(k) be the second derivative of -k**5/60 - 4*k**4 - 384*k**3 - 18432*k**2 - 14*k. Factor i(x).
-(x + 48)**3/3
Factor 1587/4 + 69/2*q + 3/4*q**2.
3*(q + 23)**2/4
Let q(x) be the second derivative of 0*x**2 + 19*x + 0*x**3 + 0 - 1/24*x**4. Factor q(m).
-m**2/2
Let a = 33/29356 + 699637/1100850. Let p = a + 3/100. Find n such that -4/3 + 2/3*n**3 - p*n + 4/3*n**2 = 0.
-2, -1, 1
Let n(l) = -l**3 - 8*l**2 + 4. Let v be n(-8). Let x = -13/155 + 453/1705. Factor -12/11*y**3 - 8/11 - 26/11*y**2 - 24/11*y - x*y**v.
-2*(y + 1)**2*(y + 2)**2/11
Let j(b) be the first derivative of -5*b**3/9 - 5*b**2/2 + 30*b - 71. Factor j(x).
-5*(x - 3)*(x + 6)/3
Let j(y) be the first derivative of 2/11*y**4 - 2/33*y**3 - 8/55*y**5 + 0*y**2 + 0*y + 18. Suppose j(g) = 0. What is g?
0, 1/2
Let d = 2898/13 - 31696/143. Let 8/11*x**2 + 2/11*x**3 - 20/11 - d*x = 0. What is x?
-5, -1, 2
Factor -2/13*h**3 + 90/13 + 86/13*h**2 + 178/13*h.
-2*(h - 45)*(h + 1)**2/13
Let l(o) be the second derivative of o**5/20 - o**4/12 - o**3/3 + 147*o + 2. Determine m, given that l(m) = 0.
-1, 0, 2
Let o(j) = -2*j**4 - j**3 + 5*j**2 - 2*j + 6. Let n(g) = -3*g**4 - 3*g**3 + 10*g**2 - 4*g + 10. Let k(s) = -3*n(s) + 5*o(s). Find a, given that k(a) = 0.
0, 1, 2
Let f = -4145 - -29019/7. Factor 0 + 2/7*u**3 - f*u + 2/7*u**2.
2*u*(u - 1)*(u + 2)/7
Let q = 14995 + -14995. Factor 0*c**4 + 4/13*c**3 - 2/13*c - 2/13*c**5 + 0*c**2 + q.
-2*c*(c - 1)**2*(c + 1)**2/13
Suppose -2142 = -3*f + 3*k, 2*k - 3549 = -4*f - f. Let y = 10669/15 - f. Determine i so that 0*i - 2/15*i**5 + 2/15*i**3 - 4/15*i**2 + 0 + y*i**4 = 0.
-1, 0, 1, 2
Let f(i) be the second derivative of 5*i**4/12 - 65*i**3/6 - 35*i**2 - 4*i - 3. Factor f(r).
5*(r - 14)*(r + 1)
Let w = 23687 - 23684. Let 0 - 96/7*k**2 + 24/7*k - 54/7*k**w = 0. What is k?
-2, 0, 2/9
Let s(f) = 2*f**3 + 10*f**2 - 32*f + 12. Let b(m) = 10*m**3 + 50*m**2 - 163*m + 59. Let c(a) = 4*b(a) - 22*s(a). What is v in c(v) = 0?
-7, 1
Let w(g) be the first derivative of 0*g**2 - 1 + 1/5*g**5 - 2/3*g**3 + 2*g + 0*g**4. Let y(u) be the first derivative of w(u). Suppose y(f) = 0. What is f?
-1, 0, 1
Suppose -2*q + 8 = 4*c, 743*q - 740*q = 4*c + 2. Factor 22/3*x - 4/3 - 32/3*x**q + 14/3*x**3.
2*(x - 1)**2*(7*x - 2)/3
Let h = -143 - -146. Suppose 2*w = -h*c + 25 - 6, 2*c - 2 = 4*w. Factor 2/19*s - 4/19 + 2/19*s**w.
2*(s - 1)*(s + 2)/19
Let t(l) be the second derivative of -l**7/231 + l**6/165 + 6*l**5/55 + 2*l**4/33 - 16*l**3/33 - 244*l. Let t(y) = 0. What is y?
-2, 0, 1, 4
Let c = 44 - 40. Let d be c/3 - (-28)/(-28). Suppose -2/3 + m - d*m**3 + 0*m**2 = 0. What is m?
-2, 1
Let o(x) = x**4 + 2*x**3 - 12*x**2 + 14*x - 5. Let r(h) = h**4 + 2*h**3 - 12*h**2 + 14*h - 5. Let z(y) = 6*o(y) - 5*r(y). Suppose z(m) = 0. What is m?
-5, 1
Let b(k) = -5*k**2 + 0 + 2 + 1 + 4*k + k**3. Let f be b(4). Factor 2*u**2 + 1 - 6*u - 3*u**2 + 5*u + 0*u**3 + u**f.
(u - 1)**2*(u + 1)
Let q be -6 - (-56)/6 - 3. Let v(d) be the first derivative of 0*d**2 + 9 + d - q*d**3. Factor v(w).
-(w - 1)*(w + 1)
Let j = -11 + 28. Solve -4*t + j - 4*t**2 - 4*t**2 + 13 - 22 + 4*t**3 = 0 for t.
-1, 1, 2
Suppose -10*v + 11*v - 24 = 0. Let y(z) = -9*z**2 - 60*z + 84. Let m(j) = -3 + 2*j**2 + 8*j + 4*j - 14. Let r(o) = v*m(o) + 5*y(o). Factor r(x).
3*(x - 2)**2
Let x = -1/1821 + 1825/7284. Suppose -x*r**2 + 1/2 - 1/4*r = 0. Calculate r.
-2, 1
Suppose -57*j + 56*j = -3. Let b(q) = -q + 7. Let d be b(-6). Factor 15*l**4 - d*l**4 - 5*l**4 + j*l**2.
-3*l**2*(l - 1)*(l + 1)
Let t = 46 - 229/5. Let m be 143/(-858) - 34/(-60). Suppose -1/5*q**2 + 0*q - t*q**4 + 0 - m*q**3 = 0. What is q?
-1, 0
Let d = 17411/7 - 2485. Factor 60/7*i - d*i**2 + 16/7.
-4*(i - 4)*(4*i + 1)/7
Factor 1/3*p**5 + 0*p + 0 + 8/3*p**3 + 5/3*p**4 + 4/3*p**2.
p**2*(p + 1)*(p + 2)**2/3
Let x(q) be the second derivative of 0 + 1/8*q**4 + 0*q**2 - 5*q + 0*q**3 - 9/40*q**5. Let x(o) = 0. What is o?
0, 1/3
Let f(z) be the third derivative of -1/540*z**6 + 0 + 0*z - 11/108*z**4 + 5/27*z**3 - 35*z**2 + 7/270*z**5. Find x, given that f(x) = 0.
1, 5
Solve -20/3*g**3 - 2/9*g**5 - 380/9*g**2 - 18 - 50*g + 10/3*g**4 = 0.
-1, 9
Let j(k) be the third derivative of k**7/630 - k**6/60 + 3*k**4/4 - 9*k**3/2 - 2*k**2 - 71. Determine p, given that j(p) = 0.
-3, 3
Let z(t) be the first derivative of 8*t**3/15 + 393*t**2/5 + 196*t/5 - 609. Find u such that z(u) = 0.
-98, -1/4
Let t(q) = -6*q - 2. Let j be t(-1). Suppose x = j*x - 210. Let -80*u**4 + x*u**4 + 6*u - u + 10*u**2 - 5*u**5 = 0. Calculate u.
-1, 0, 1
Factor -2*c**3 - 19*c**2 + 5*c**2 + 80*c + 6*c**2 - 2*c**3 - 96.
-4*(c - 2)**2*(c + 6)
Let i be (3 + 202/(-70))/(16/40). Find l such that 0 + 0*l**4 + 2/7*l - 4/7*l**3 + 0*l**2 + i*l**5 = 0.
-1, 0, 1
Let z(p) be the third derivative of -p**6/120 + 2*p**4/3 - 4*p**2 + 26. Factor z(y).
-y*(y - 4)*(y + 4)
Suppose -8*h - 8 = -88. Let v be (-3*(-16)/(-72))/(h/(-36)). Determine p, given that -9/5 + 9*p**2 - 24/5*p - v*p**3 = 0.
-1/4, 1, 3
Let h(v) be the first derivative of -v**3/3 + 25*v**2/2 - 24*v - 113. Factor h(c).
-(c - 24)*(c - 1)
Let z(w) be the third derivative of 8/33*w**3 - 1/22*w**4 + 0*w - 25*w**2 + 1/330*w**5 + 0. Factor z(x).
2*(x - 4)*(x - 2)/11
Let q(i) = -i**4 - i**3 - i + 1. Let r(x) = -2*x**2 - 4 - 22*x + 28*x + 5*x**4 + 2*x**3 + x**2. Let b(l) = 4*q(l) + r(l). Suppose b(h) = 0. Calculate h.
-1, 0, 1, 2
Suppose -112 = -42*i + 35*i. Factor -28*a + i - 44*a + 4*a**2 + 56*a.
4*(a - 2)**2
Let g be 1/(-1)*-2*(-99)/2. Let u = g - -99. Factor -2/11*q**5 + 0*q**2 + 0 + u*q + 6/11*q**4 - 4/11*q**3.
-2*q**3*(q - 2)*(q - 1)/11
Determine h, given that -20/3*h**2 + 0*h + 0 + 2/3*h**3 - 2/3*h**5 + 20/3*h**4 = 0.
-1, 0, 1, 10
Let t(h) be the third derivative of -h**6/30 - 13*h**5/15 + 8*h**4/3 + 56*h**3/3 + 10*h**2 + 4*h. Factor t(j).
-4*(j - 2)*(j + 1)*(j + 14)
Let g be (-285)/(-60) - 4/(-16). Let q(o) be the second derivative of 12*o + 0*o**4 + 5/6*o**3 + 0*o**2 + 5/42*o**7 - 1/2*o**g + 0*o**6 + 0. Factor q(p).
5*p*(p - 1)**2*(p + 1)**2
What is d in 1/4*d**2 + 11 + 45/4*d = 0?
-44, -1
Let b = 2044/9 + -26359/63. Let r = -191 - b. Factor 6/7*j**2 + 0 - 2/7*j + r*j**4 - 6/7*j**3.
2*j*(j - 1)**3/7
Let x = -66 + 68. Factor -5*j**3 - 8*j**2 + 0 + 23*j**x - 20.
-5*(j - 2)**2*(j + 1)
Let h(d) be the third derivative of -d**6/14 + 89*d**5/105 + 74*d**4/21 + 88*d**3/21 + 48*d**2. Find o, given that h(o) = 0.
-1, -2/5, 22/3
Let v be ((-378)/(-35) + -9)/((-3)/(-5)). Suppose 4*k + 3*n - 15 = 0, -25 = -k - 2*n - v*n. Factor 2/3*u**4 + 2/3 + k*u**3 - 4/3*u**2 + 0*u.
2*(u - 1)**2*(u + 1)**2/3
Factor 0 + 2/9*r**3 - 26/9*r**2 + 8/3*r.
2*r*(r - 12)*(r - 1)/9
Let g be ((-6)/24)/((-32)/288). Factor 3/2*n**2 - g*n**3 - 1/4*n + n**4 + 0.
n*(n - 1)**2*(4*n - 1)/4
Let x be 32/(-16) - 7/14*-10. Factor 3/5*q + 1/5*q**4 - 3/5*q**x - 2/5 + 1/5*q**2.
(q - 2)*(q - 1)**2*(q + 1)/5
Let c = 21510 + -193385/9. Let l = 23 - c. Factor -2/9*i**4 + 0*i + 0*i**2 - l*i**3 + 0.
-2*i**3*(i + 1)/9
Let q(j) be the first derivative of j**5 + 0*j**4 - 8 + 0*j**3 - 5/6*j**6 + 0*j**2 + 0*j. Find i, given that q(i) = 0.
0, 1
Let q(r) = -8*r**3 + 95*r**2 - 171*r + 51. Let a(n) = -8*n**3 + 96*n**2 - 172*n + 54. Let b(s) = 5*a(s) - 6*q(s). Solve b(i) = 0.
1/4, 2, 9
Suppose x + s = 0, 21 = -3*x - 5*s + 17. Suppose 1/3*l**4 + 5/3 + 16/3*l + 6*l**x + 8/3*l**3 = 0. What is l?
-5, -1
Let n(y) = 9*y**5 + 174*y**3 + 15*y + 30. Let p(r) = r**5 + 25*r**3 + 2*r + 4. Let x(i) = -2*n(i) + 15*p(i). Factor x(m).
-3*m**3*(m - 3)*(m + 3)
Factor 0 + 2/7*t + 8/7*t**4 + 12/7*t**3 + 8/7*t**2 + 2/7*t**5.
2*t*(t + 1)**4/7
Factor 579*j**3 + 5*j**4 + 571*j**3 + 20*j**2 - 1175*j**3.
5*j**2*(j - 4)*(j - 1)
Let l(t) = t**2 + 4*t. Let c(w) = 5*w**2 + 71*w - 172. Let i(q) = c(q) - 6*l(q). Factor i(n).
-(n - 43)*(n - 4)
Let o be 389/(-1167)*(1*-6)/1. Let w(i) be the third derivative of 12*i**o - 1/42*i**4 + 0 + 1/210*i**5 + 0*i + 1/21*i**3. Solve w(h) = 0.
1
Supp