en that s(p) = 0.
-27, -2/7, 0
Let u(x) = -x**3 + 5*x**2 + 5*x + 10. Let l be u(6). Suppose -18 - 30 = -l*g. Factor 34*a - 4*a**3 - 50*a + 4*a**2 + g*a**2.
-4*a*(a - 2)**2
Let t(w) = w**3. Let r(h) = -16*h**3 + 2*h**2 + 10*h + 6. Let l = -73 + 45. Let q(k) = l*t(k) - 2*r(k). Factor q(d).
4*(d - 3)*(d + 1)**2
Let j(r) be the third derivative of r**7/525 - 11*r**6/300 + 4*r**5/75 + r**4/3 + 9*r**2 + 3*r. Factor j(i).
2*i*(i - 10)*(i - 2)*(i + 1)/5
Let a(q) = q**3 - 15*q**2 - 285*q + 15. Let b be a(-11). Factor 3/8*p**3 - 1/2*p + 1/8*p**5 + 0 - 1/2*p**b + 1/2*p**2.
p*(p - 2)**2*(p - 1)*(p + 1)/8
Let k(l) be the first derivative of -2*l**3/3 - 3*l**2/4 + l/2 - 548. Factor k(n).
-(n + 1)*(4*n - 1)/2
Let s(t) = t**5 + t**3 + t - 1. Let w(i) = 15*i**5 + 60*i**4 + 30*i**3 - 78*i**2 - 27*i + 12. Let f(m) = 6*s(m) - w(m). Let f(l) = 0. Calculate l.
-6, -1, 1/3, 1
Let k(m) = -m + 2. Let b(i) = i. Let a be b(3). Let x be k(a). Let j(d) = d**2 + d + 1. Let q(u) = -2*u**2 - 2*u - 3. Let t(z) = x*q(z) - 3*j(z). Factor t(o).
-o*(o + 1)
Let u be 5/3*74/185. Let 4/3 - 2/3*y**2 - u*y = 0. Calculate y.
-2, 1
Suppose -3*m + 0 = -24. Let j(c) = c**2 + 3*c + 1. Let v be j(-4). Factor -v*q**2 + m*q**2 + 9*q + 3*q + 12.
3*(q + 2)**2
Suppose 266 = -4*c + 210. Let v be 36/(-42) - 33/c. Solve -v + 3*q**2 + 3/2*q = 0.
-1, 1/2
Let z(q) be the first derivative of -q**4 + 14*q**2 + 24*q + 167. Solve z(f) = 0.
-2, -1, 3
Let r(c) = 20*c**2 - 475*c - 510. Let f(q) = -5*q**2 + 119*q + 128. Let t(d) = 15*f(d) + 4*r(d). Let t(h) = 0. What is h?
-1, 24
Determine n, given that 17*n + 55*n**2 - n**3 + 50*n**2 - 104*n**2 + 6 + 9 = 0.
-3, -1, 5
Let x(j) be the second derivative of 5*j**7/126 + j**6/2 + 2*j**5 + 20*j**4/9 - 29*j. Solve x(k) = 0.
-4, -1, 0
Suppose 0 = b + w - 6, -6 = 4*b - 6*b + 4*w. Suppose 3*a - 1 = -2*x + 12, 25 = b*a + 5*x. Factor 6/5*h**a + 3/5*h**4 - 3/5 + 0*h**2 - 6/5*h.
3*(h - 1)*(h + 1)**3/5
Let l(i) = -i**4 + 50*i**3 - 194*i**2 - 2. Let b(t) = -15*t**4 + 801*t**3 - 3105*t**2 - 33. Let x(u) = 2*b(u) - 33*l(u). Factor x(s).
3*s**2*(s - 8)**2
Suppose o - 2*l - 2*l + 166 = 0, 0 = -4*o + l - 739. Let j = 188 + o. Factor -1/2*w**j - 4*w - 8.
-(w + 4)**2/2
Let k(f) be the third derivative of -f**5/20 - f**4/4 + 15*f**3/2 + 25*f**2. Factor k(x).
-3*(x - 3)*(x + 5)
Let k = 1237/2 - 617. Factor 12*x**3 + 48*x + k*x**4 + 24 + 36*x**2.
3*(x + 2)**4/2
Let k be ((-54)/(-40))/(27/18). Let t(v) be the second derivative of -3*v**2 - 3*v + k*v**5 + 19/3*v**3 - 11/2*v**4 + 0. Factor t(h).
2*(h - 3)*(3*h - 1)**2
Let t(f) be the first derivative of 25*f**3 - 20*f**2 + 5*f - 330. Determine k so that t(k) = 0.
1/5, 1/3
Let h(j) = -j**3 + 10*j**2 - 11*j + 8. Let k be h(7). Suppose -340*v**3 - 150*v**2 - 34*v**4 - 72*v**2 + k*v**2 + 140*v**5 - 38*v**4 - 16*v = 0. What is v?
-1, -2/7, -1/5, 0, 2
Let z(x) = 5*x**2 + 25*x - 18. Let d(g) = -3*g**2 - 24*g + 18. Let h(f) = 4*d(f) + 3*z(f). Factor h(s).
3*(s - 6)*(s - 1)
Let p(u) be the second derivative of -u**6/315 - u**5/14 - 3*u**4/14 - 13*u**3/63 - 16*u. Let p(y) = 0. What is y?
-13, -1, 0
Let o(w) = 10*w**3 + 30*w**2 + 112*w + 160. Let a(s) = -8*s**3 - 29*s**2 - 112*s - 160. Let c(z) = -4*a(z) - 3*o(z). Factor c(d).
2*(d + 4)**2*(d + 5)
Suppose -8*j - 9*j + 2*o + 24 = 0, -2*o = 3*j - 16. Determine h, given that -6 + 18*h + 9*h**3 - 3/2*h**4 - 39/2*h**j = 0.
1, 2
Let b(d) = -2*d. Let o be b(-1). Let 8*j**3 + 0 - 11*j**3 + 3*j**o + 0 = 0. What is j?
0, 1
Let n = -125 - -2251/18. Let a(v) be the third derivative of 0*v + 4*v**2 - 1/18*v**4 - n*v**5 + 0*v**3 + 0 - 1/45*v**6 - 1/315*v**7. Factor a(p).
-2*p*(p + 1)**2*(p + 2)/3
Let y(u) = -5*u**3 + 59*u**2 + 119*u + 65. Let j(m) = -7*m**3 + 59*m**2 + 118*m + 67. Let f(n) = -4*j(n) + 6*y(n). Suppose f(d) = 0. What is d?
-1, 61
Let c(w) be the third derivative of w**5/180 + w**4/36 - 15*w**2 - 1. Factor c(t).
t*(t + 2)/3
Suppose -3*q - 9*s - 12 = -13*s, -5*q + 3*s = 9. Factor q*a + 0 - 3/4*a**2 + 1/4*a**3.
a**2*(a - 3)/4
Let b(o) be the third derivative of o**5/20 + o**4/12 - o**3/2 - 28*o**2. Let p be b(1). Factor -4/3*k + 2/3*k**p + 2/3.
2*(k - 1)**2/3
Factor 0 - 4/3*z + 2/3*z**2.
2*z*(z - 2)/3
Determine r, given that -2/9*r**3 - 74/3*r**2 - 218/9 - 146/3*r = 0.
-109, -1
Factor -9/2*d - 3/2*d**3 - 1/4*d**4 + 0 + 25/4*d**2.
-d*(d - 2)*(d - 1)*(d + 9)/4
Let b be ((-7267)/26)/(3/2). Let m = -185 - b. Factor 0 + m*t**3 + 0*t + 2*t**2 - 10/3*t**4.
-2*t**2*(t - 1)*(5*t + 3)/3
Let a(w) be the first derivative of -w**4/10 + 332*w**3/15 - 6889*w**2/5 + 312. Let a(g) = 0. What is g?
0, 83
Let o(n) = 3*n**3 - 118*n**2 - 210*n - 99. Let a(y) = 2*y**3 - 116*y**2 - 210*y - 100. Let q(d) = 5*a(d) - 4*o(d). Determine z, given that q(z) = 0.
-52, -1
Let t be (2 + (-42)/35)*5. Let h(k) be the first derivative of -11/14*k**t + 6/35*k**5 + 4/7*k + 10/7*k**3 - 9/7*k**2 - 3. Solve h(v) = 0.
2/3, 1
Let d = -166 - -73. Let i = d + 95. Factor 8/11*j**3 + 4/11*j + 14/11*j**i + 0 - 8/11*j**4.
-2*j*(j - 2)*(2*j + 1)**2/11
Let r(u) be the first derivative of -u**6/12 - 3*u**5/8 + 5*u**4/6 - 34*u + 16. Let d(k) be the first derivative of r(k). Factor d(a).
-5*a**2*(a - 1)*(a + 4)/2
Let o = 64 - 57. Factor -76 + 4*q + q**4 + 2*q**3 + 76 - o*q**2.
q*(q - 1)**2*(q + 4)
Let l be (-189)/54*6/(-7). Let i(w) be the second derivative of 1/48*w**4 - 8*w + 0 + 1/4*w**l + 9/8*w**2. Factor i(t).
(t + 3)**2/4
Let s(u) be the third derivative of -u**5/390 - u**4/12 + 14*u**3/39 + 15*u**2. Factor s(y).
-2*(y - 1)*(y + 14)/13
Determine y, given that 0 + 15/8*y - 3/8*y**3 + 3/2*y**2 = 0.
-1, 0, 5
Let f(k) be the third derivative of 1/3*k**3 - 11*k**2 - 13/24*k**4 + 0 + 0*k - 3/40*k**6 + 2/5*k**5. Factor f(i).
-(i - 2)*(3*i - 1)**2
Let t = 3 - 1. Let i be -2*2/(12/(-9)). Factor -2*w**2 + 3*w**i + 120*w - 120*w - w**t.
3*w**2*(w - 1)
Let r(t) be the third derivative of 1/1848*t**8 + 0*t**3 + 2/165*t**6 - 1/231*t**7 + 0*t**4 - 2/165*t**5 + 0 - 10*t**2 + 0*t. Find x, given that r(x) = 0.
0, 1, 2
Let b(p) = -15*p**2 + 55*p - 45. Suppose a - 4*c - 4 = -3*a, -32 = 4*a + 5*c. Let x(n) = 8*n**2 - 27*n + 22. Let f(t) = a*b(t) - 5*x(t). Factor f(r).
5*(r - 5)*(r - 1)
Let w = -14 - -33. Let p = w - 13. Determine h, given that 4*h**2 + h**3 + 0*h**3 - 4*h**4 + 5*h**3 - p*h = 0.
-1, 0, 1, 3/2
Let m(b) be the first derivative of b**3/3 - 2*b**2 - 35. Find u such that m(u) = 0.
0, 4
Let j(a) be the second derivative of -a**5/30 + 4*a**4/9 + a**3/9 - 8*a**2/3 - 2*a + 300. Determine v so that j(v) = 0.
-1, 1, 8
Let g(w) be the first derivative of -w**5/5 + 4*w**4 - 30*w**3 + 100*w**2 - 41*w + 51. Let h(t) be the first derivative of g(t). Factor h(f).
-4*(f - 5)**2*(f - 2)
Let t(q) be the second derivative of q**6/120 + 11*q**5/80 + q**4/2 - q**3/6 - 4*q**2 - 426*q. Factor t(z).
(z - 1)*(z + 2)**2*(z + 8)/4
Let q(v) be the first derivative of v**7/2940 + v**6/1260 - 5*v**3 - 1. Let u(b) be the third derivative of q(b). Factor u(t).
2*t**2*(t + 1)/7
Let u(q) be the first derivative of 2*q**3/9 - 128*q**2 + 24576*q - 407. Factor u(g).
2*(g - 192)**2/3
Suppose 1871*t = 1864*t. Let c(v) be the third derivative of -1/20*v**5 + 0*v + t + 1/112*v**8 - 1/40*v**6 + 1/70*v**7 + 0*v**4 + 9*v**2 + 0*v**3. Factor c(w).
3*w**2*(w - 1)*(w + 1)**2
Let s be ((-15)/((-225)/42))/(2/82). Let z = 115 - s. Factor 0 + 2/5*q**2 - 1/5*q - z*q**3.
-q*(q - 1)**2/5
Let m(c) be the third derivative of 0*c + 1/40*c**5 + 0*c**4 + 1/280*c**7 - 1/24*c**3 + 0 + 1/60*c**6 - 14*c**2. What is j in m(j) = 0?
-1, 1/3
Let x(m) be the third derivative of -m**6/40 + 3*m**5/4 - 23*m**4/8 - 39*m**3/2 + 104*m**2 + 2. Let x(j) = 0. What is j?
-1, 3, 13
Let w(i) be the second derivative of 0*i**2 + 1/6*i**4 - 1/3*i**3 - 5*i + 0. Factor w(k).
2*k*(k - 1)
Let u(r) = -r**2 + 1. Let y(v) = -8*v - 42. Let q be y(-5). Let s(l) = -7*l**2 + 10*l + 9. Let d(n) = q*s(n) + 18*u(n). Factor d(k).
-4*k*(k + 5)
Suppose -44 = -112*f + 108*f. Let x be (4 - f/2) + (-195)/(-18). Factor -4*c**4 + 4/3*c - 20/3*c**2 + 0 + x*c**3.
-4*c*(c - 1)**2*(3*c - 1)/3
Let h(j) be the third derivative of -1/3*j**3 + 1/60*j**5 + 1/24*j**4 - j**2 + 0*j + 0. Factor h(u).
(u - 1)*(u + 2)
Solve -62/3*h - 1/3*h**3 + 5*h**2 + 16 = 0 for h.
1, 6, 8
Let z = -1/17 - -55/68. Factor 3/4*i + 1/4 - 1/4*i**2 - z*i**3.
-(i - 1)*(i + 1)*(3*i + 1)/4