+ 5)**2
Let a(f) = -3*f**3 - 58*f**2 + 3*f + 62. Let y(q) = 5*q**3 + 115*q**2 - 5*q - 125. Let g(z) = 5*a(z) + 2*y(z). Factor g(v).
-5*(v - 1)*(v + 1)*(v + 12)
Let a(n) be the second derivative of n**5/10 + 7*n**4/12 - 85*n**3/16 - 225*n**2/4 + 2*n + 4. Suppose a(i) = 0. Calculate i.
-15/4, 4
Suppose h + w - 34 = -0*h, -2*w - 77 = -3*h. Let d = -27 + h. Factor 27/4 - 9/2*o + 3/4*o**d.
3*(o - 3)**2/4
Let o(s) be the first derivative of s**7/1260 + s**6/80 + s**5/15 + s**4/9 - 16*s**2 - 54. Let h(k) be the second derivative of o(k). Factor h(l).
l*(l + 1)*(l + 4)**2/6
Let p(z) = -z**3 + 2*z**2 + 2. Let d(y) = -5*y**3 + 10*y**2 + 11. Suppose 13 = 3*g - k, -2*k + 3 + 7 = 0. Let u(f) = g*d(f) - 33*p(f). Factor u(w).
3*w**2*(w - 2)
Let a(q) = 24*q + 30*q**2 + 38*q**3 + 1 + 29*q**3 - 3 - 79*q**3. Let f(t) = 24*t**3 - 61*t**2 - 48*t + 5. Let p(o) = 5*a(o) + 2*f(o). Factor p(d).
-4*d*(d - 3)*(3*d + 2)
Let h(k) = -k**2 - 9*k - 8. Let v be h(-8). Let c = v - -4. Suppose l**2 - 2 + 1 + 3 + l - c = 0. What is l?
-2, 1
Let s(i) = i**2 + i + 3. Let w(c) = -c**2 - c - 1. Let p(k) = s(k) + 3*w(k). Let r(v) = -v**2 - v. Let t(h) = -5*p(h) + 5*r(h). Determine z so that t(z) = 0.
-1, 0
Suppose -58 + 1072 = 6*j. Factor 2*r**2 + 4*r - 2 + 2 - j*r**3 + 167*r**3.
-2*r*(r - 2)*(r + 1)
Let j(c) be the first derivative of 2*c**3/39 - 17*c**2/13 + 32*c/13 + 206. Determine n, given that j(n) = 0.
1, 16
Let s be (-59)/(-1534) - (-6)/13. Factor -s*i**2 + 0 - 1/4*i**3 - 1/4*i.
-i*(i + 1)**2/4
Let w(g) be the first derivative of -2*g**6/9 - 16*g**5/45 + 13*g**4/9 + 8*g**3/3 - 8*g**2/9 - 32*g/9 - 173. Find q, given that w(q) = 0.
-2, -1, 2/3, 2
Suppose t - 2*t + 10 = 0. Let n = t - 6. Factor -n*i**2 + i**2 + 3*i**2 + 3*i**3.
3*i**3
Let c(i) be the third derivative of 10*i**2 - 1/3*i**4 + 1/5*i**5 - 1/30*i**6 + 0*i + 0*i**3 + 0. Factor c(l).
-4*l*(l - 2)*(l - 1)
Suppose 5*b**2 + 2*b**2 + 3645*b**3 - 3649*b**3 + 2*b = 0. Calculate b.
-1/4, 0, 2
Let t be 80/100*(-2)/(-5)*5/2. What is b in 0*b**3 - 2/5*b + t*b**4 + 0 - 4/5*b**2 + 2/5*b**5 = 0?
-1, 0, 1
Let f(d) be the third derivative of 1/35*d**7 + 1/15*d**5 + 0 + 7/60*d**6 + 0*d**3 - d**2 + 0*d + 0*d**4. Find q, given that f(q) = 0.
-2, -1/3, 0
Let w(s) be the second derivative of s**5/90 + 26*s**4/27 - 63*s - 1. Suppose w(c) = 0. What is c?
-52, 0
Factor -1/5*b**3 + 14/5*b - 24/5 + 1/5*b**2.
-(b - 3)*(b - 2)*(b + 4)/5
Let r(m) be the third derivative of 0 + 1/735*m**7 + 4/21*m**4 + 0*m**3 + 0*m - 24*m**2 - 1/60*m**6 + 4/105*m**5. Factor r(d).
2*d*(d - 4)**2*(d + 1)/7
Let k(s) = 2*s + 4. Let j be k(3). Factor j*y**2 - 2*y**3 + 0*y**2 + 1 + 7 - 16*y + 0*y**3.
-2*(y - 2)**2*(y - 1)
Suppose 6*n**3 + 67*n**2 - 3*n**3 - 70*n**2 = 0. What is n?
0, 1
Let n(d) be the second derivative of -d**6/60 - d**5/20 - d**4/24 + 7*d + 28. Factor n(y).
-y**2*(y + 1)**2/2
Determine x, given that 60*x + 5 - 39*x**3 - 21*x**5 - 5 - 78*x**4 - 24 + 102*x**2 = 0.
-2, -1, 2/7, 1
Let j(m) be the second derivative of -5*m**7/21 + m**6/4 + 5*m**5/8 - 5*m**4/8 - 5*m**3/12 + 14*m - 1. Let j(n) = 0. Calculate n.
-1, -1/4, 0, 1
Let v(z) be the first derivative of 5*z**9/3024 - z**8/112 + z**7/168 + z**6/24 - z**5/12 - 2*z**3 + 29. Let r(n) be the third derivative of v(n). Factor r(u).
5*u*(u - 2)*(u - 1)**2*(u + 1)
Let m be (-11)/(-66) - 115/6. Let g = -16 - m. Factor 2*q**2 + 2*q - 8*q**3 - q**2 + 2*q**2 + g*q**2.
-2*q*(q - 1)*(4*q + 1)
Let r(d) be the second derivative of -3/16*d**3 + 3/80*d**5 - 3/16*d**2 + 29*d + 0 + 3/80*d**6 - 1/16*d**4 + 1/112*d**7. What is m in r(m) = 0?
-1, 1
Solve 0 - 450/11*w - 62/11*w**3 + 510/11*w**2 + 2/11*w**4 = 0.
0, 1, 15
Let s(m) be the first derivative of -m**4/20 + 92*m**3/5 - 549*m**2/10 + 274*m/5 - 248. Factor s(r).
-(r - 274)*(r - 1)**2/5
Solve 506*w**3 + 80*w**5 + 0 + 780*w**4 + 0 + 60*w**4 - 101*w**3 + 50*w**2 = 0 for w.
-10, -1/4, 0
Suppose 4*a - 2 = 2*a - 3*l, -3*a - 3*l + 6 = 0. Suppose q = 6*q + a*q. Determine z, given that 0*z + 1/5*z**3 + 0*z**2 + 3/5*z**4 + q = 0.
-1/3, 0
Let z = 8 - 8. Suppose c + 3*c = 2*n - 2, c - 1 = z. Determine t so that 72*t - 24*t + 25*t**2 - 36*t**4 - 48*t**n - 5*t**2 + 16 = 0.
-1, -2/3, 1
Factor 0 - 1/2*y**3 + 0*y + 3/2*y**2.
-y**2*(y - 3)/2
Let i(c) be the first derivative of c**6/300 - 2*c**5/75 - c**2/2 - 10. Let t(b) be the second derivative of i(b). Factor t(j).
2*j**2*(j - 4)/5
Let n(p) be the third derivative of 1/105*p**7 + 22*p**2 - 1/3*p**3 + 1/60*p**6 + 0 + 7/24*p**4 - 2/15*p**5 - 1/336*p**8 + 0*p. Factor n(b).
-(b - 1)**4*(b + 2)
Let y(u) be the second derivative of -7*u + 0*u**2 + 0*u**4 + 0*u**3 - 1/84*u**7 + 0 + 0*u**5 + 1/20*u**6. Find c such that y(c) = 0.
0, 3
Let l(i) be the first derivative of 1/2*i**3 + 27 - 6*i + 0*i**2. Determine x so that l(x) = 0.
-2, 2
Let t = -41 - -46. Solve -2*q**3 + 1 + 71*q**2 - 4*q**t - 20*q - 38*q**3 + 20*q**4 + 3 - 31*q**2 = 0 for q.
1
Let h(r) = 3*r**5 + 2*r**4 + 18*r**3 - 13*r**2 + 5*r - 5. Let p(o) = 5*o**5 + 3*o**4 + 27*o**3 - 19*o**2 + 8*o - 8. Let t(q) = -8*h(q) + 5*p(q). Factor t(j).
j**2*(j - 3)*(j - 1)*(j + 3)
Let y(o) = 2*o**2 + 14*o - 13. Let p be y(-8). Factor 0*k**2 + 4 - 1 + k**p + 0 - k - 3*k**2.
(k - 3)*(k - 1)*(k + 1)
Let w(n) = 2*n - 1. Let s be w(5). Let t be 2 + 0*3/s. Factor 3*r**2 + 0*r - 6 + r**t - 9*r**3 + 2*r**2 + 9*r.
-3*(r - 1)*(r + 1)*(3*r - 2)
Let v(m) be the third derivative of 1/15*m**6 + m**5 + 0 - 8/3*m**4 - 9*m**2 - 2/21*m**7 + 0*m + 8/3*m**3. What is s in v(s) = 0?
-2, 2/5, 1
Let u(h) be the first derivative of 3*h**4/8 + 19. Find l such that u(l) = 0.
0
Let h(m) be the third derivative of m**6/72 - m**5/3 - 15*m**4/8 - 11*m**3/3 + 20*m**2. Let w(o) be the first derivative of h(o). Factor w(q).
5*(q - 9)*(q + 1)
Let p be 4 - (-9 + 6)*12/(-9). Let o(g) be the third derivative of 1/300*g**6 + p*g + 0*g**3 + 0 + 1/20*g**4 - 2/75*g**5 + g**2. Solve o(f) = 0 for f.
0, 1, 3
Suppose -36 = -3*g + 3*j, 2*j - 24 = -6*g + 5*g. Factor o**3 + 99*o - 4*o**2 - 2*o**2 - 75*o - 3*o**2 - g.
(o - 4)**2*(o - 1)
Let g(s) = -10*s + 40. Suppose 0 = r - 2, -2 = -q + 3*r - 4. Let w be g(q). Find y, given that w*y**2 + 4/9 - 2/9*y**3 + 2/3*y = 0.
-1, 2
Let r(l) be the second derivative of -5*l**7/42 + l**5/4 - 35*l + 2. What is h in r(h) = 0?
-1, 0, 1
Let v be 8 + -1 - 2505/450 - (-2)/12. Factor 12/5 - 4/5*t**2 + v*t.
-4*(t - 3)*(t + 1)/5
Let g(u) be the first derivative of 0*u + 6 - 1/10*u**4 - 1/25*u**5 + 0*u**2 + 0*u**3. Suppose g(f) = 0. Calculate f.
-2, 0
Let l(u) = -2*u**2 - 151*u + 722. Let r be l(-80). Factor 0*y**r - y + 1/3*y**3 - 2/3.
(y - 2)*(y + 1)**2/3
Suppose -51*p - 38 + 191 = 0. Find f, given that 0*f**2 + 0*f + 3/5*f**p + 0 + 3/5*f**4 = 0.
-1, 0
Suppose 0 = s - 4*s + 30. Let n be 16/6 + s/30. What is b in 6*b**4 - 3*b**2 - 26*b**3 - 2*b - 3*b**4 - 4*b + 32*b**n = 0?
-2, -1, 0, 1
Let h = -32/677 + 2804/2031. Factor 2/9*v**4 + 26/9*v**2 - 8/3*v - h*v**3 + 8/9.
2*(v - 2)**2*(v - 1)**2/9
Factor 70/9*p - 34/9 + 2/9*p**3 - 38/9*p**2.
2*(p - 17)*(p - 1)**2/9
Let y = -791 + 7166/9. Let n = -143/36 + y. Factor 0 + n*w**2 + w**3 + 1/4*w**4 + 1/2*w.
w*(w + 1)**2*(w + 2)/4
Let t be (4*10/12)/(-19 - (-1040)/48). Find u such that -3/4*u**3 - 11/4*u**2 - t*u + 3/4 = 0.
-3, -1, 1/3
Let x = -157 + 172. Let p(f) = f**3 - 14*f**2 - 15*f + 3. Let z be p(x). Determine j so that 1/3*j**z - 2/3*j**4 + 0*j + 0*j**2 + 0 + 1/3*j**5 = 0.
0, 1
Suppose 0*n + 10 = 5*n. Let m = -1825 - -12799/7. Suppose -2*v**n + m*v + 8/7 = 0. What is v?
-2/7, 2
Let y be 2 + (-20)/14 + (-57)/(-1995). Let f(p) be the first derivative of 3/20*p**4 - 3/5*p - y*p**3 + 9/10*p**2 + 5. Factor f(i).
3*(i - 1)**3/5
What is j in 58*j**4 - 10*j**4 - 18*j**4 - 15*j**4 - 14*j**2 - 17*j**4 - 16*j**3 = 0?
-7, -1, 0
Suppose 959 - 959 = 12*o. Solve 0*y + 1/5*y**3 - 2/5*y**2 + o = 0.
0, 2
Let g(r) be the third derivative of 1/240*r**5 + 0 + 0*r**3 - 18*r**2 + 0*r + 1/24*r**4. Factor g(d).
d*(d + 4)/4
Let h(i) = -i**2 + i + 2. Let q(m) = 4*m**3 + 10*m**2 - 58*m - 244. Let d(r) = -6*h(r) + q(r). What is u in d(u) = 0?
-4, 4
Let l be ((-4)/(-16))/(21/(-5)). Let u = l - -11/28. Factor 0 + u*j**2 + 0*j - 1/6*j**3.
-j**2*(j - 2)/6
Solve 3/2*i**2 + 1/6*i**4 - 5/6*i**3 + 1/3 - 7/6*i = 0.
1, 2
Solve 161*y - 1095*y**4 + 31*y**5 + 4*y**5 + 3365*y**3 + 1375*y - 10176*y**2 + 6337*y*