14. Let t be w(-6). Factor 4/9*h**2 - 2/9*h**t - 2/9 + 0*h + 0*h**3.
-2*(h - 1)**2*(h + 1)**2/9
Let z be (1/(-13))/(450/(-975)). Factor 1/4 - 1/12*n**2 - z*n.
-(n - 1)*(n + 3)/12
Factor -33/4*r**2 + 3/2*r**3 - 3 + 39/4*r.
3*(r - 4)*(r - 1)*(2*r - 1)/4
Let w(t) = -t**3 - t**2 + t. Let b(u) = 4*u**3 - 7*u**2 + 13*u. Let h(s) = 2*b(s) + 6*w(s). Factor h(f).
2*f*(f - 8)*(f - 2)
Let o(s) be the second derivative of 2*s**6/15 - 32*s**5/5 - 72*s**4 - 896*s**3/3 - 608*s**2 - 194*s. Solve o(x) = 0 for x.
-2, 38
Let k(r) = 2*r**2 - 2*r. Let w(o) = 38*o**2 - 72*o - 126. Let a(c) = 36*k(c) - 2*w(c). Determine s so that a(s) = 0.
-3, 21
Factor 2214*q - 13 - 24*q**2 - 2246*q + 1 + 4*q**4.
4*(q - 3)*(q + 1)**3
Let w(k) be the third derivative of k**8/336 + 2*k**7/105 - k**6/60 - 2*k**5/15 + k**4/24 + 2*k**3/3 - 180*k**2 - 2. Factor w(j).
(j - 1)**2*(j + 1)**2*(j + 4)
Suppose 121*k - 82*k - 62*k = -69. Find z such that 0 + 8/3*z + 2/3*z**5 - 10/3*z**k - 2*z**2 + 2*z**4 = 0.
-4, -1, 0, 1
Let b(d) = -d + 4. Let g be b(-4). Let c = g + -6. Find s, given that 7*s - 9*s**5 + s**3 + s**3 + 11*s**4 - 1 - 14*s**c + 4*s**4 = 0.
-1, 1/3, 1
Suppose -5*r + 0*t + 44 = -2*t, -5*t = -15. Let p be (-8)/r - 217/(-155). Find h, given that -p*h**5 + 4/5*h**2 + 7/5*h**3 - 4/5*h - 4/5*h**4 + 0 = 0.
-2, -1, 0, 2/3, 1
Suppose 1/2*j + 3*j**2 - 3 - 1/2*j**3 = 0. Calculate j.
-1, 1, 6
Let l(h) be the second derivative of -3*h**5/10 - 7*h**4/3 - 7*h**3/3 + 4*h**2 - 61*h. Let l(k) = 0. Calculate k.
-4, -1, 1/3
Let m(b) = -8*b**2 - 20*b - 42. Let r(v) = v**2. Let k(w) = m(w) + 6*r(w). Factor k(d).
-2*(d + 3)*(d + 7)
Let z(t) be the first derivative of 3*t**4/4 - 36*t**3 + 855*t**2/2 + 2166*t - 251. Factor z(p).
3*(p - 19)**2*(p + 2)
Let i(r) be the second derivative of -4*r**2 + 1/2*r**4 + 0*r**3 + 0 + 1/10*r**5 + 6*r. Factor i(d).
2*(d - 1)*(d + 2)**2
Suppose -18*w = -9*w - 3*w. Let f(i) be the second derivative of w + 4/3*i**3 - 6*i**2 + 4*i + 1/3*i**4. Factor f(d).
4*(d - 1)*(d + 3)
Let d(c) be the third derivative of -7*c**6/60 + 16*c**5/15 - 29*c**4/21 + 16*c**3/21 - 68*c**2. Factor d(i).
-2*(i - 4)*(7*i - 2)**2/7
Let m(z) = -z**3 - z**2 - 4. Let x be m(0). Let o be (x + 27/6)*12. Factor o*d**2 + 3*d**4 - 3*d**3 - 3*d**3 - 2*d**3 - d**3.
3*d**2*(d - 2)*(d - 1)
Let a(f) be the third derivative of f**6/72 + f**5/6 - 5*f**3/3 + 34*f**2. Let z(o) be the first derivative of a(o). Factor z(y).
5*y*(y + 4)
Let a(t) be the first derivative of -24 + 27/10*t**2 + 0*t + 3/20*t**4 + 6/5*t**3. Suppose a(i) = 0. What is i?
-3, 0
Factor 3/4*l**4 + 5/4*l**2 + 1/4*l + 0 + 7/4*l**3.
l*(l + 1)**2*(3*l + 1)/4
Factor 0*t + 3/2*t**3 + 3/2*t**2 + 0 - 3/2*t**4 - 3/2*t**5.
-3*t**2*(t - 1)*(t + 1)**2/2
Suppose -109*a + 111*a = 0. Suppose -9*d + 27 = -a*d. Let -3/7*u**d - 6/7*u + 9/7*u**2 + 0 = 0. What is u?
0, 1, 2
Let m(y) be the third derivative of -y**6/200 + 819*y**5/100 - 223587*y**4/40 + 20346417*y**3/10 - 339*y**2. Find d, given that m(d) = 0.
273
Let s(x) be the first derivative of 3*x**5/10 + 3*x**4 + 12*x**3 + 24*x**2 + 24*x - 20. Factor s(q).
3*(q + 2)**4/2
Let h(y) be the first derivative of 7*y**5 + 45*y**4/2 + 20*y**3 - 5*y**2 - 15*y - 196. Let h(s) = 0. Calculate s.
-1, 3/7
Factor -861 + 735 - m**2 + 4*m**2 + 111*m + 12*m.
3*(m - 1)*(m + 42)
Suppose -368*d**3 + 30*d**5 - 170*d**2 - 40*d - 205*d**4 + 343*d**3 + 410*d**3 = 0. What is d?
-1/6, 0, 1, 2, 4
Let c be ((0 - -2) + -2)/(2 - 0). Let f be (-1 + (-1)/3)/(-1 + -3). Determine i, given that c*i**2 - 1/3*i**3 + 0 + 0*i - f*i**5 - 2/3*i**4 = 0.
-1, 0
Solve 11 + 1 + 4*n**2 - 12*n - 4*n = 0 for n.
1, 3
Let m be 2 + 6 + -4 + -1. Factor -q + 22*q + 15*q**2 + m*q**3 + 0*q + 9.
3*(q + 1)**2*(q + 3)
Suppose 363 = -p - 5*m + 332, 0 = 3*p + 4*m + 16. Suppose -2/13*u**2 - 4/13*u**3 - 2/13*u**p + 0 + 0*u = 0. What is u?
-1, 0
Let i(d) be the second derivative of d**7/147 + 2*d**6/105 - d**5/7 - 4*d**4/21 + 11*d**3/7 - 18*d**2/7 - 275*d. Let i(c) = 0. What is c?
-3, 1, 2
Let z(g) be the third derivative of -g**5/36 + 151*g**4/36 - 20*g**3/3 - 56*g**2. Let z(o) = 0. Calculate o.
2/5, 60
Let p(x) be the first derivative of -3 - 1/96*x**4 + 1/480*x**6 + 0*x + x**2 - 1/24*x**3 + 1/240*x**5. Let z(t) be the second derivative of p(t). Factor z(c).
(c - 1)*(c + 1)**2/4
Let u(m) = m**2 - 6*m - 24. Let d be u(9). Let b(f) = -3*f**2 + 5*f + 4. Let i(w) = 3*w**2 - 3*w - 3. Let p(y) = d*b(y) + 4*i(y). What is o in p(o) = 0?
-1, 0
Let x = 34 + -29. Let p(f) = -f**2 + 29*f - 64. Let h(j) = -3*j**2 + 59*j - 128. Let z(k) = x*p(k) - 3*h(k). Solve z(t) = 0.
4
Suppose 13 = 5*f - 7. Let b be (-6)/f*8/(-3). Factor 9 - 5 - 40*n + 77*n**3 + 34*n**2 + 2 + 35*n**3 + 32*n**b.
2*(n + 1)*(n + 3)*(4*n - 1)**2
Let h(f) = -4*f**4 - 2*f**3 + 14*f**2 - 14. Let x(v) = -5*v**4 - 2*v**3 + 14*v**2 - v - 15. Let z(d) = -3*h(d) + 2*x(d). Determine a, given that z(a) = 0.
-3, -1, 1, 2
Let w(f) be the third derivative of f**5/180 + f**4/18 - 5*f**3/18 + 772*f**2. Determine m, given that w(m) = 0.
-5, 1
Let u(d) be the second derivative of d**4/6 + 100*d**3/3 - 101*d**2 - 556*d. Factor u(p).
2*(p - 1)*(p + 101)
Let a be ((-286)/52)/((-7)/(-7)*8/(-6)). Suppose 3/2 - a*u**2 + 15/2*u = 0. What is u?
-2/11, 2
Let t(r) be the second derivative of -r**6/3060 + r**4/204 + 7*r**3/6 + 3*r. Let w(v) be the second derivative of t(v). Determine k, given that w(k) = 0.
-1, 1
Factor -2/7*y**3 + 0 - 6/7*y**2 + 20/7*y.
-2*y*(y - 2)*(y + 5)/7
Factor 9/5*a**2 - 12/5 + 12/5*a + 3/5*a**4 - 12/5*a**3.
3*(a - 2)**2*(a - 1)*(a + 1)/5
Let m(v) be the third derivative of 19*v**2 + 0 - 1/80*v**6 - 1/140*v**7 + 1/40*v**5 + 0*v + 0*v**3 + 1/16*v**4. Factor m(j).
-3*j*(j - 1)*(j + 1)**2/2
Factor -34*d**3 + 5*d + 20*d**2 + 133*d**2 + 91*d + 12 + 88*d**3.
3*(d + 2)*(3*d + 2)*(6*d + 1)
Let a(r) be the second derivative of -r**4/18 - r**3/2 - 207*r. Let a(o) = 0. What is o?
-9/2, 0
Let x(c) be the first derivative of 2*c**3/15 + 2*c**2 + 18*c/5 - 23. Factor x(q).
2*(q + 1)*(q + 9)/5
Factor 25*f**4 - 51*f - 27*f**4 + 6*f**3 + 43*f.
-2*f*(f - 2)**2*(f + 1)
Suppose -260*a**3 - 3*a + 3*a**2 + 3*a**2 + 131*a**3 + 126*a**3 = 0. What is a?
0, 1
Let y(s) = -4*s**2 + 6. Let m(x) = -5*x**2 + 7. Suppose 2*k - 16 = -g, -74 + 19 = -5*g - 5*k. Let p(f) = g*m(f) - 7*y(f). Factor p(z).
-2*z**2
Suppose -252 - 96 = -12*p. Let v = 146/5 - p. Let 1/5*a - 2/5 + v*a**2 = 0. What is a?
-2, 1
Determine w so that -361 - 46*w - 36*w**2 - 43*w - 139*w = 0.
-19/6
Let s(t) = -t**3 - t**2 + t + 1. Let f = 15 + -16. Let c(g) = 5*g**3 + 2*g**2 - 3*g - 4. Let q(p) = f*c(p) - 4*s(p). Suppose q(o) = 0. What is o?
0, 1
Let h = -26 - -30. Suppose -2*p + 2*x = 0, 3*p + 5*x = h*x + 8. Factor -3/5*q**3 - 3/5*q**p + 3/5 + 3/5*q.
-3*(q - 1)*(q + 1)**2/5
Let k(m) = 13*m**2 + 18*m - 31. Let r(w) = -11*w**2 - 21*w + 32. Let h(d) = -4*k(d) - 5*r(d). Determine b, given that h(b) = 0.
-12, 1
Let f(n) be the second derivative of -n**5/5 - n**4 + 4*n**3 + 16*n**2 - 25*n. Determine g, given that f(g) = 0.
-4, -1, 2
Let i = 716 + -709. Let k(w) be the third derivative of 0*w + 1/4*w**6 - 1/5*w**5 + 1/35*w**i + 0 - 4*w**2 - 5/112*w**8 - 5/8*w**4 + w**3. Solve k(b) = 0 for b.
-1, 2/5, 1
Let w(f) be the first derivative of 7*f**3 + 9/2*f**6 - 117/5*f**5 + 129/4*f**4 - 22 - 12*f - 24*f**2. Let w(a) = 0. Calculate a.
-1/3, 1, 2
Suppose 7*x = 21 + 28. Let r(s) be the third derivative of 0 - x*s**2 + 1/24*s**6 + 10/3*s**4 + 0*s + 0*s**3 + 2/3*s**5. Factor r(w).
5*w*(w + 4)**2
Let r(p) be the third derivative of 0*p**4 + 1/45*p**6 - 1/126*p**7 + 28*p**2 + 0*p**3 + 0 + 0*p + 1/1008*p**8 - 1/45*p**5. Find l, given that r(l) = 0.
0, 1, 2
Let r = -17289/5 - -3473. Determine p, given that r*p**3 - 64/5*p**2 + 2*p**5 - 44/5*p**4 + 26/5*p - 4/5 = 0.
2/5, 1
Suppose 40 = 3*d - 7*d. Let z = d + 13. Factor -6*q + 9*q**z + 3 - 3*q**4 - 5*q**3 + 5*q**3 - 3*q**3.
-3*(q - 1)**3*(q + 1)
Factor -2/9*b**2 - 76/9 - 14/3*b.
-2*(b + 2)*(b + 19)/9
Let a(b) be the first derivative of -20*b**3/3 - 90*b**2 - 405*b - 140. Find g, given that a(g) = 0.
-9/2
Let b = -10 - -13. Let x(s) be the second derivative of s - 1/3*s**2 + 0*s**b + 0 + 1/18*s**4. Factor x(c).
2*(c - 1)*(c + 1)/3
Let d(n) be the first derivative of 110*n**3/3 + 32*n**2 + 8*n - 77. Suppose d(h) = 0. Calculate h.
-2/5, -2/11
Let x be 6787/272