*h**2 + 0*h**3 + 8/5*h**5 + 0 - 7/15*h**7. Factor v(s).
-2*s*(s - 1)*(7*s + 6)**2
Let g(r) = r**3 - 10*r**2 - 14*r + 31. Let o be g(11). Let v be 509 - ((o - 4) + -6 + 9). Factor -22*k + 416/3*k**2 - 512/3*k**5 - 1216/3*k**3 + 4/3 + v*k**4.
-2*(k - 2)*(4*k - 1)**4/3
Let v = 163 + -160. Let t(x) be the second derivative of -1/24*x**v + 0*x**2 - 4*x + 0 - 1/48*x**4. Factor t(f).
-f*(f + 1)/4
Let c(w) be the second derivative of -2/15*w**6 + 1/5*w**5 - 2/3*w**3 - 4*w**2 + w**4 + 0 - 12*w. Find r, given that c(r) = 0.
-1, 1, 2
Let y be (-149)/285 + (44/6)/(-11). Let h = -15/19 - y. Let 8/5 + 16/5*n + 2*n**2 + h*n**3 = 0. What is n?
-2, -1
Let o(q) be the third derivative of -q**8/5600 - 13*q**7/6300 + q**6/180 + q**4/4 + 3*q**2 - 6*q. Let u(d) be the second derivative of o(d). Factor u(m).
-2*m*(m + 5)*(3*m - 2)/5
Let f(y) = -13*y**4 - 25*y**3 + 61*y**2 + 160*y - 201. Let c(d) = 3*d**4 + 6*d**3 - 15*d**2 - 40*d + 50. Let i(q) = 9*c(q) + 2*f(q). Factor i(v).
(v - 3)*(v - 1)*(v + 4)**2
Let f be ((-720)/(-12))/(-10) + (245/30 - 2). Let -4/3*o - f*o**2 - 2/3 + 1/6*o**4 - 1/6*o**5 + 5/6*o**3 = 0. What is o?
-1, 2
Let c(y) = -y**3 + 3*y**2 + 4*y + 2. Let i be c(4). Suppose i*d = -3*d + 10. Suppose -u**3 + u**2 - 5*u**d - u**3 + 2*u**2 = 0. Calculate u.
-1, 0
Let b be (-9 + -1)*(25650/(-156))/15. Let k = b + -109. Factor -6/13 - 2/13*f**2 - k*f.
-2*(f + 1)*(f + 3)/13
Let c(g) be the first derivative of -4*g**5/35 + 3*g**4/7 - 8*g**2/7 - 103. Let c(d) = 0. Calculate d.
-1, 0, 2
Factor -51/5*s**2 + 867/5*s - 4913/5 + 1/5*s**3.
(s - 17)**3/5
Let j(d) be the third derivative of -d**5/20 - 10*d**2 - d. Factor j(h).
-3*h**2
Let p be (-44)/176*(1 + -1). Factor -9/5*f**4 + 0*f + p + 12/5*f**3 + 12/5*f**2.
-3*f**2*(f - 2)*(3*f + 2)/5
Find l, given that 0*l - 1/5*l**2 + 0 = 0.
0
Let f(n) be the first derivative of -n**7/490 - 3*n**6/280 - 3*n**5/140 - n**4/56 + 15*n**2/2 + 26. Let c(x) be the second derivative of f(x). Solve c(b) = 0.
-1, 0
Let f(p) be the first derivative of -7*p**6/39 - 58*p**5/65 - 23*p**4/13 - 68*p**3/39 - 11*p**2/13 - 2*p/13 + 29. Factor f(w).
-2*(w + 1)**4*(7*w + 1)/13
Let c be 34/4 - 2 - (78 - 73). Factor -1/2*m**2 + 3/2*m**3 + 0*m + 1/2*m**5 + 0 - c*m**4.
m**2*(m - 1)**3/2
Let o = -54 + 14. Let h = 40 + o. Determine m, given that 0 + 1/2*m**3 + h*m - 1/2*m**2 = 0.
0, 1
Let a be (-156)/143 - (-656)/440. Factor -a*m**2 + 8/5 - 6/5*m.
-2*(m - 1)*(m + 4)/5
Factor 5*p**2 + 20/3*p - 20 - 5/3*p**3.
-5*(p - 3)*(p - 2)*(p + 2)/3
Find w, given that 14/11*w - 4/11*w**2 - 2/11*w**3 - 8/11 = 0.
-4, 1
Suppose -3129*z + 3135*z = 12. Solve 0 - 11/5*a**z - 2/5*a - 9/5*a**3 = 0.
-1, -2/9, 0
Let v = 176 + -173. Let n(r) be the first derivative of 1/14*r**4 - 1 + 1/21*r**v - 1/7*r**2 + 0*r - 1/35*r**5. Let n(k) = 0. Calculate k.
-1, 0, 1, 2
Let p(o) be the third derivative of o**5/90 + 4*o**4/9 - 17*o**3/9 + 3*o**2 - 22. Find u, given that p(u) = 0.
-17, 1
Let k(t) = t + 7. Suppose 4*z + 3*r = -3, 2*z + 5 = 3*r - 10. Let a be k(z). Factor -8*b + 29*b**3 - 4 + a*b**2 - 5*b**3 - 18*b**4 + 4 - 2.
-2*(b - 1)**2*(3*b + 1)**2
Factor -18/5*c + 16/5*c**2 + 0.
2*c*(8*c - 9)/5
Let k = 1784 + -1782. Let s(l) be the second derivative of 9/100*l**5 + 1/210*l**7 + 1/15*l**3 + 0 + 7/60*l**4 - 13*l + 0*l**k + 1/30*l**6. Factor s(p).
p*(p + 1)**3*(p + 2)/5
Suppose 85*i - 86*i - 21 = -4*t, -4*i = -4*t + 12. Let g be (-6)/(-15) + 1/5. Determine d, given that 0 + 2/5*d + g*d**2 + 1/5*d**i = 0.
-2, -1, 0
Let c(z) be the second derivative of 4/11*z**2 + 4/11*z**3 + 0 + 6*z - 3/22*z**4 - 7/110*z**5. Solve c(a) = 0.
-2, -2/7, 1
Let t = 9609/5 - 1920. Factor -3/5*b**4 - t*b**2 + 0*b + 12/5*b**3 + 0.
-3*b**2*(b - 3)*(b - 1)/5
Suppose -25/2*s - 27/4*s**2 + 3/4*s**4 + 0 + 37/2*s**3 = 0. What is s?
-25, -2/3, 0, 1
Let z(p) = p**2 - 208*p + 3422. Let h be z(18). Suppose -2/5*r**h + 6/5 + 4/5*r = 0. What is r?
-1, 3
Let q = -5174/95 + 1050/19. Factor 6/5 + q*n - 2/5*n**2.
-2*(n - 3)*(n + 1)/5
Let h be (-15)/(-5) - 10/(-10). Let v(z) be the second derivative of -1/6*z**h + 0 - 1/20*z**5 + 3*z + 0*z**3 + 0*z**2. Let v(l) = 0. What is l?
-2, 0
Let m(r) = 7*r**4 + 14*r**3 + 7*r**2 - 21*r - 5. Let o(c) = -c**4 - c**3 + 3*c + 1. Let k(z) = m(z) + 5*o(z). Factor k(p).
p*(p + 2)*(p + 3)*(2*p - 1)
Determine x, given that 13*x**2 - 2*x + 3*x**2 + 13*x + 10 + 11*x - 4*x**2 = 0.
-1, -5/6
Let v(b) be the second derivative of -2*b**7/21 + 16*b**6/15 - 7*b**5/5 + 138*b. Determine f so that v(f) = 0.
0, 1, 7
Let y be 24/9*2/(-8)*-6. Factor -y*i + 0*i**3 - i**3 - 8*i - 5 - 3 - 6*i**2.
-(i + 2)**3
Let m(i) be the third derivative of i**6/300 - i**5/150 - i**4/60 + i**3/15 - 83*i**2 - 2. Suppose m(y) = 0. What is y?
-1, 1
Let -2/7*r**5 + 162/7*r**2 - 18*r**3 - 34/7*r**4 + 0 + 0*r = 0. Calculate r.
-9, 0, 1
Let g(u) be the third derivative of 0*u + 0 + 7*u**2 + 1/210*u**5 + 1/28*u**4 - 4/21*u**3. Factor g(b).
2*(b - 1)*(b + 4)/7
Suppose -2*n + 266 - 260 = 0. Let a(p) be the third derivative of 3*p**n + 0*p + 4*p**2 + 1/2*p**4 + 1/30*p**5 + 0. Solve a(s) = 0 for s.
-3
Let r = 18022 - 18020. Factor 3/8*d**r + 1/4 - 5/8*d - 1/8*d**4 + 1/8*d**3.
-(d - 1)**3*(d + 2)/8
Factor 1/3*c**4 + 2*c**2 - 32/3*c - 32/3 + 7/3*c**3.
(c - 2)*(c + 1)*(c + 4)**2/3
Suppose -28*x = -24*x. Suppose -3*b = -6 - x. Factor -2*n**2 - 2*n**2 - 1 + 3*n + b*n.
-(n - 1)*(4*n - 1)
Let p = -5915/6 - -28787/30. Let i = 80/3 + p. Factor -i*n**2 - 6/5*n - 4/5.
-2*(n + 1)*(n + 2)/5
Suppose 2*v - 4 = 0, 4*x - 3*v = 2*v + 78. Suppose 18*u + 8 = x*u. Factor 0 + 1/4*d**4 + 1/4*d - 1/4*d**3 - 1/4*d**u.
d*(d - 1)**2*(d + 1)/4
Suppose -4*o = -2*x + 14, 23 = 9*x + 4*o - 2*o. Suppose 6/11 - 2/11*p**x - 6/11*p**2 + 2/11*p = 0. Calculate p.
-3, -1, 1
Let r be (-4)/(-18) - 20/630*7. Let a(b) be the second derivative of -3/2*b**2 - 3/20*b**5 + 1/2*b**3 + r + 1/4*b**4 + b. What is u in a(u) = 0?
-1, 1
Let s(l) be the third derivative of l**6/24 - l**5/4 - 15*l**4/8 - 25*l**3/6 + 232*l**2. Find m such that s(m) = 0.
-1, 5
Factor -2/7*o**2 + 0 - 4/7*o + 2/7*o**3.
2*o*(o - 2)*(o + 1)/7
Let r(b) = -2*b**2 - 2*b - 8. Let q(t) = -t - 3. Let a be q(-6). Let m be 3/(a + -2 + -2). Let l(o) = -o**2 - o - 7. Let y(w) = m*r(w) + 4*l(w). Factor y(p).
2*(p - 1)*(p + 2)
Let l(z) be the second derivative of 1/6*z**4 + 0 + 8/3*z**3 + 16*z**2 - 3*z. Solve l(v) = 0.
-4
Suppose y = -4*l - 11 + 7, 20 = y + l. Determine k so that 392*k + y*k**2 + 2/3*k**3 + 5488/3 = 0.
-14
Let u be (-6 - (-728)/126)*-3. Factor 0*t - 2/3*t**3 + u*t**2 + 0.
-2*t**2*(t - 1)/3
Suppose -2*n = -5*p - 1, -2*p - 3 = 3*n - 14. Factor 506*d**4 + 12*d**3 - 45*d - 165*d**2 - 47*d**n - 261*d**4.
5*d*(d - 1)*(7*d + 3)**2
Let y(r) = -2*r**2 - 1. Let t(q) = -2*q**2 - 6*q - 38. Let m(w) = 2*t(w) - 4*y(w). Find d such that m(d) = 0.
-3, 6
Suppose 25*l + 27*l = -241 + 345. Suppose 2/5*c**l + 4/5 + 6/5*c = 0. Calculate c.
-2, -1
Factor 7*y + 1/3*y**2 - 46/3.
(y - 2)*(y + 23)/3
Let j(c) be the second derivative of -c**5/80 - 3*c**4/32 + 5*c**2/2 + 3*c. Let z(p) be the first derivative of j(p). Suppose z(i) = 0. Calculate i.
-3, 0
Factor 21*h**2 - 3*h**5 + 12 + 21*h**4 + 2*h**2 - 11*h**2 - 48*h - 57*h**3 + 63*h**2.
-3*(h - 2)**2*(h - 1)**3
Let b(c) be the second derivative of -c**5/270 + c**4/54 - 9*c**2 - 23*c. Let k(x) be the first derivative of b(x). Determine n, given that k(n) = 0.
0, 2
Suppose u = 3*u - 10. Suppose u = -5*j + 15. Find v such that -v**2 - 6*v - 2*v**2 + v**j = 0.
-3, 0
Let x(q) = 76*q**3 + 108*q**2 + 176*q + 120. Let r(f) = -3*f**3 - f**2 + 2*f + 1. Let a(p) = -24*r(p) - x(p). Factor a(s).
-4*(s + 1)*(s + 2)*(s + 18)
Let h(u) be the third derivative of u**5/150 - u**4/15 + u**3/5 + u**2 + 29. Determine r, given that h(r) = 0.
1, 3
Let o(a) be the first derivative of 0*a**2 - 3 + 1/15*a**6 - 1/6*a**4 - 1/3*a**3 + 1/10*a**5 + 3*a. Let t(y) be the first derivative of o(y). Factor t(w).
2*w*(w - 1)*(w + 1)**2
Let a(y) = 12*y**5 - 44*y**4 + 40*y**2. Let u(m) = 14*m**5 - 45*m**4 + m**3 + 40*m**2. Let d(v) = -5*a(v) + 4*u(v). Solve d(w) = 0 for w.
-1, 0, 1, 10
Suppose 18 = 3*q + 3*v, -50 = q - 4*v - 36. Factor -2 - 5/3*x - 1/3*x**q.
-(x + 2)*(x + 3)/3
Let p = 38535 - 38535. Factor 0 - 1/10*w**4 + 2/5*w**2 + p*w - 3/10*w**3.
-w**2*(w - 1)*(w + 4)/10
Let j(o) be the third derivative of 0 + 0*o + 2/75*o*