the second derivative of u(o). Factor f(c).
2*(c - 9)*(c - 1)/5
Let v(b) be the second derivative of -b**4/6 - 182*b**3/3 - 8281*b**2 + 558*b. Factor v(k).
-2*(k + 91)**2
Suppose 5*a = -2*f + 5*f - 25, -2*a - 5*f + 21 = 0. Let o be ((-14)/(-175))/(a/(-10)). Determine z so that 0 + 4/5*z**2 - o*z**3 + 0*z = 0.
0, 2
Suppose 10*f + 15 = 13*f. Let p = -1/187 + 379/935. Determine d, given that 2*d**4 + 0 + 0*d + 0*d**2 + 8/5*d**f + p*d**3 = 0.
-1, -1/4, 0
Suppose 2*o - 2 = 6. Suppose -2*b = o*x - 20, -x = 5*b - b - 19. Factor -x - 3/2*f**2 + 11/2*f.
-(f - 3)*(3*f - 2)/2
Let u = 10486 - 10483. Factor 0 + 0*x - 3/2*x**5 + 3/2*x**u - 3/2*x**4 + 3/2*x**2.
-3*x**2*(x - 1)*(x + 1)**2/2
Let j(c) be the second derivative of 0*c**3 + 1/12*c**6 + 5/168*c**7 - 16*c + 0*c**4 + 1/16*c**5 + 0 + 0*c**2. Factor j(w).
5*w**3*(w + 1)**2/4
Factor 28/3*q + 196/3 + 1/3*q**2.
(q + 14)**2/3
Let x(i) be the third derivative of -1/3*i**3 + 1/540*i**5 + 0 + 0*i - 1/1620*i**6 + i**2 + 1/54*i**4. Let d(j) be the first derivative of x(j). Factor d(y).
-2*(y - 2)*(y + 1)/9
Factor 64 - 12*z**3 + 112*z + 43*z**2 - 23*z**2 - 4*z**2.
-4*(z - 4)*(z + 2)*(3*z + 2)
Factor -21/4 - 3/4*a**2 + 6*a.
-3*(a - 7)*(a - 1)/4
Let q(z) be the second derivative of 1/96*z**4 - 6*z + 0 - 1/16*z**3 + 1/8*z**2. Determine v so that q(v) = 0.
1, 2
Let p be (1 - (-6)/(-2))*(-9 - 2). Suppose 8*f = p*f. Factor f + 22/5*x**2 + 4/5*x + 18/5*x**3.
2*x*(x + 1)*(9*x + 2)/5
Let o(i) be the second derivative of 0*i**2 - 1/20*i**5 + 0*i**3 + 0 + 6*i + 1/6*i**4. Suppose o(c) = 0. Calculate c.
0, 2
Factor 2*u + 3*u**2 - 87*u - 45 + 258 - 3 + 2*u**2.
5*(u - 14)*(u - 3)
Let s = -30 - -36. Let c be 24/(-456) + 538/114. Factor -s*r**2 - 8*r + 8/3 + c*r**3.
2*(r - 2)*(r + 1)*(7*r - 2)/3
Let w(v) = 6*v + 4. Let a(q) = -5*q - 4. Let r(z) = -5*a(z) - 4*w(z). Let y be r(0). Factor -5*s**4 + 4*s**5 - 14*s**4 + 35*s**y + 16*s**3.
4*s**3*(s + 2)**2
Suppose -12 = 5*h + 3*o - 28, -5*h + 2*o = -6. Factor 9/5*n - 6/5 - 3/5*n**h.
-3*(n - 2)*(n - 1)/5
Let b be ((-40)/(-36) - 0)/((-3)/(108/(-30))). Determine r so that 32/3*r - 16/3 - b*r**2 + 4/3*r**4 - 20/3*r**3 + 4/3*r**5 = 0.
-2, 1
Let d be ((-96)/(-84))/(1/7). Suppose 4*u = 5*u - 5*f + d, -5*f + 12 = u. What is k in -k**5 + 3*k**5 - u*k**4 - 5*k**4 - 4*k + k**4 + 2*k**3 + 6*k**2 = 0?
-1, 0, 1, 2
Suppose 0*p - 4*p + 24 = 0. Let h be 9/p*6 - 0. Let d**2 + 0*d**2 + d + h - 7*d = 0. What is d?
3
Suppose -1/2*n**3 - 35*n + 0 + 37/2*n**2 = 0. What is n?
0, 2, 35
Let x = 1229/2290 + -42/1145. Factor -x*i**2 + 1/2*i**3 + 0 - 3*i.
i*(i - 3)*(i + 2)/2
Let c(t) be the first derivative of -5/3*t**3 - 5/2*t**2 - 4 + 0*t. Factor c(b).
-5*b*(b + 1)
Let y(d) be the third derivative of -2*d**7/105 + 4*d**6/15 - d**5 - 4*d**4/3 + 32*d**3/3 - 679*d**2. Find t, given that y(t) = 0.
-1, 1, 4
Let n = 140435261/1269138 + -10/48813. Let l = -221/2 + n. Factor -18/13*k**2 - l*k**4 - 14/13*k - 4/13 - 10/13*k**3.
-2*(k + 1)**3*(k + 2)/13
Let i(n) be the third derivative of 0*n + n**2 + 5/168*n**4 - 3/140*n**5 + 0 + 1/120*n**6 - 1/735*n**7 - 1/42*n**3. Factor i(g).
-(g - 1)**3*(2*g - 1)/7
Let r(y) be the second derivative of -y**5/5 + 2*y**4/3 + 10*y**3/3 - 12*y**2 + 189*y + 1. Factor r(b).
-4*(b - 3)*(b - 1)*(b + 2)
Let j(n) = -2*n**2 + n + 9. Let k be j(-3). Let z be (3 + ((-2904)/(-117))/(-8))*k. Factor -z*t - 2/13*t**2 - 32/13.
-2*(t + 4)**2/13
Let b(m) be the second derivative of m**5/20 - m**3/6 + m**2/2 - 9*m. Let r(c) = c**3 - 22*c**2 - 41*c - 15. Let y(w) = -3*b(w) + r(w). Let y(x) = 0. What is x?
-9, -1
Let m(s) be the first derivative of -48*s + 4/3*s**3 + 40 + 2*s**2. What is q in m(q) = 0?
-4, 3
Let r be (8/(-140))/(1*-6). Let p(d) be the second derivative of 0 + r*d**7 + 0*d**6 + 0*d**3 + 0*d**4 + 4*d + 0*d**2 - 1/50*d**5. Factor p(x).
2*x**3*(x - 1)*(x + 1)/5
Let v(y) = 14*y**2 - 16*y + 35. Let f(p) = -5*p**2 + 5*p - 12. Let b(l) = 11*f(l) + 4*v(l). Factor b(h).
(h - 8)*(h - 1)
Let y be (-290)/156 - (-1 - 1/2). Let r = y + 9/13. Find s, given that 0 + 2/3*s - 1/3*s**2 - r*s**3 = 0.
-2, 0, 1
Let o = -346 + 349. Factor 0 + 2/3*c**4 + 0*c + 2/3*c**2 - 4/3*c**o.
2*c**2*(c - 1)**2/3
Let n(d) be the second derivative of -d**4/12 - 7*d**3/2 - 34*d**2 - 178*d. Let n(f) = 0. Calculate f.
-17, -4
Let s = 202 + -113. Let i = s - 87. Factor 0*m - 2/3*m**4 + 0 + 1/3*m**3 - m**5 + 0*m**i.
-m**3*(m + 1)*(3*m - 1)/3
Let b(p) = -19*p**3 + 24*p**2 - 11*p - 11. Let g(i) = -10*i**3 + 9 - 6*i - 17 + 12*i**2 + 2. Let o(y) = 6*b(y) - 11*g(y). Factor o(q).
-4*q**2*(q - 3)
Factor -5/2*t**2 + 5 - 5/2*t.
-5*(t - 1)*(t + 2)/2
Let q(n) be the second derivative of n**5/60 + 7*n**4/9 + 26*n**3/9 - 216*n. Solve q(v) = 0 for v.
-26, -2, 0
Let h(j) be the second derivative of j**6/6 - j**5/4 - 65*j**4/6 + 70*j**3 - 180*j**2 - 69*j. Factor h(c).
5*(c - 3)*(c - 2)**2*(c + 6)
Let n(a) = -3*a**3 - 4*a**2 + 7*a + 1. Let u(x) = -x**4 - x**3 - x + 1. Let f(y) = 2*n(y) - 2*u(y). What is w in f(w) = 0?
-2, 0, 2
Let b = -17273 + 259097/15. Factor -4/15*t + 2/15*t**2 + b.
2*(t - 1)**2/15
Let b(a) = -a**3 + 4*a**2 + 17*a + 122. Let c be b(8). Factor -10/7*h + 2/7*h**c + 8/7.
2*(h - 4)*(h - 1)/7
Let a = -35/9 + 185/36. Solve 5/4*f**2 + a*f + 0 = 0.
-1, 0
Suppose -4*j = 2*a - 10, -7 = a - 0*a - 2*j. Let u be a/(-15)*(20 + -15). Factor -2/3 + u*w + 1/3*w**2.
(w - 1)*(w + 2)/3
Factor 3*d**3 - 5791*d + 5800*d - 7 + 10 + 9*d**2.
3*(d + 1)**3
Let n(t) be the second derivative of -t**4/30 + t**2/5 - t + 16. Factor n(u).
-2*(u - 1)*(u + 1)/5
Let i(g) be the third derivative of -3*g**6/40 - 5*g**5/12 + g**4/4 - 39*g**2 - 2. Let i(p) = 0. What is p?
-3, 0, 2/9
Let 3 - 44*u**3 + 157*u - 327*u - 7*u**4 - 75*u**2 - 3 + 152*u = 0. Calculate u.
-3, -2/7, 0
Let j(u) be the first derivative of 0*u**2 + 24/25*u**5 + 2/15*u**6 + 0*u + 13 + 32/15*u**3 + 12/5*u**4. Find i such that j(i) = 0.
-2, 0
Let n(d) be the second derivative of 8*d**6/75 + 6*d**5/5 + 49*d**4/60 - 8*d**3/5 + 7*d**2/10 - 10*d. Factor n(z).
(z + 1)*(z + 7)*(4*z - 1)**2/5
Let g = 27 - 23. Let j be 88/32 + 1/g. Find b such that -2*b**j + 3 + 3 - 6 = 0.
0
Let m(l) be the second derivative of -l**7/14 + 3*l**6/10 + 3*l**5/2 + 4*l + 4. Factor m(t).
-3*t**3*(t - 5)*(t + 2)
Let k be (-1)/6 + (-2)/(-3). Let y be 14/(-6)*(15/(-6) + 2). Solve -5/6*n + y*n**2 - k*n**3 + 1/6 = 0.
1/3, 1
Let w be (-6 + 10)/(0 + -2). Let v be 3 + 1 + 2 + w. Factor 3*b + 4*b**2 - 7*b**2 - 2*b - b**v + 3*b**3.
-b*(b - 1)**3
Let y(p) be the second derivative of p**6/120 + p**5/8 + 3*p**4/16 - 120*p. Factor y(i).
i**2*(i + 1)*(i + 9)/4
Solve 26*n - 40/3 - 2/3*n**3 - 12*n**2 = 0.
-20, 1
Let t(s) be the third derivative of -s**7/2940 - s**6/315 - s**5/140 + 5*s**3/3 - 9*s**2. Let u(k) be the first derivative of t(k). Factor u(f).
-2*f*(f + 1)*(f + 3)/7
Let i(w) be the second derivative of -3*w**5/70 + 75*w**4/14 - 218*w**3/7 + 432*w**2/7 + 105*w - 1. Factor i(p).
-6*(p - 72)*(p - 2)*(p - 1)/7
Let x = -34 + 36. Let k be (-36)/(-27)*3*x. Find s, given that -7*s**2 + k - 11*s + 9*s**2 + s = 0.
1, 4
Let b(g) = 2*g**2 + 14*g + 26. Let y be b(-3). Suppose 0*s - 1/3*s**y + 0 - 3*s**4 + 2*s**3 + 4/3*s**5 = 0. What is s?
0, 1/4, 1
Suppose 65 = -4*j + 81. Suppose -j*h + s + 8 = -s, 0 = 5*h + 4*s - 23. Find x, given that 2*x**2 + x**4 + 1/5 - x - 2*x**h - 1/5*x**5 = 0.
1
Let z(q) = q**4 + q**3. Let m(v) = 3*v**4 + 9*v**3 + 3*v**2 - 3*v. Let b(j) = m(j) - 6*z(j). Suppose b(g) = 0. Calculate g.
-1, 0, 1
Suppose 253*x - 1738*x - 13263 - 62913 - 4*x**2 + 381*x = 0. Calculate x.
-138
Let d be (2/(-525) - 0)/((-47)/235). Let p(v) be the third derivative of 1/10*v**6 - d*v**7 + 0*v**3 - 6*v**2 + 0*v + 0 + 1/6*v**4 - 1/5*v**5. Factor p(o).
-4*o*(o - 1)**3
Let j(f) be the third derivative of f**5/60 - 11*f**4/12 + 121*f**3/6 - 45*f**2 - 2. Determine w, given that j(w) = 0.
11
Find p such that -223*p**5 + 432*p - 2028*p + 2184*p**4 - 284*p**5 + 4182*p**2 + 8997*p**3 + 168 - 360*p = 0.
-2, -1, 2/13, 7
Let o(b) be the second derivative of -b**7/2100 + b**6/450 + 14*b**3/3 + 29*b. Let x(r) be the second derivative of o(r). Factor x(p).
-2*p**2*(p - 2)/5
Let c = -1863/2 + 13065/14. Factor 0 - 4/7*m**3 - c*m - 16/7*m**2.
-4*m*(m + 1)*(m + 3)/7
Let v(x) = x. Let y(m) = -m**2 - 12*m - 49. Let s(o) = -4*v(o) + 2*y(o). Factor s(t).
-2*(t + 7)**2
Let 