p**5. Factor i(s).
2*s**2*(s - 1)*(s + 1)/3
Let t = 49 - 47. Let s be t/1 - 20/12. Factor 0*r**2 + 0 - r**4 + 0*r - s*r**3.
-r**3*(3*r + 1)/3
Let i(b) = -5*b**4 + 4*b**3. Let f = -27 + 22. Let q(t) = 5*t**4 - 5*t**3. Let l(m) = f*i(m) - 4*q(m). Factor l(z).
5*z**4
Factor -3*d**2 + 2*d**2 - 39*d + 5*d**2 + 12 + 23*d.
4*(d - 3)*(d - 1)
Let g be (392/72 - 5)/((-129)/27 + 5). Suppose 1/2*x**5 + 0 + 4*x**3 + g*x**2 + 5/2*x**4 + 0*x = 0. Calculate x.
-2, -1, 0
Let u = -13138 - -13138. Factor -2/3*p**4 + 0 + 1/3*p**5 - 1/3*p**3 + 2/3*p**2 + u*p.
p**2*(p - 2)*(p - 1)*(p + 1)/3
Let w(m) be the first derivative of 9*m**4/20 - 2*m**3 + 27*m**2/10 - 6*m/5 - 378. Factor w(b).
3*(b - 2)*(b - 1)*(3*b - 1)/5
Let p(j) be the second derivative of 0 - 1/3*j**2 - 1/18*j**4 + 2/9*j**3 - 16*j. Solve p(m) = 0 for m.
1
Let h = 88/5 - 16. Let q = -235 - -235. Suppose -2/5*s**5 + q - 2*s**3 + 0*s + 4/5*s**2 + h*s**4 = 0. What is s?
0, 1, 2
Factor 0 - 2/5*i**3 - 11560*i + 136*i**2.
-2*i*(i - 170)**2/5
Suppose 1 = -3*n + 13*t - 12*t, 3*t - 3 = -2*n. Factor n + 12/7*s**2 - 4/7*s.
4*s*(3*s - 1)/7
Suppose 4*j + 5 - 21 = 0. Let d be (-4)/14 - 825/(-21). Let -d*x**2 + 41*x**2 - x**4 + 2 - 5*x + 4*x**3 - 3*x**j + x**5 = 0. Calculate x.
-1, 1, 2
Let v(u) be the second derivative of -u**5/180 + u**4/72 + 3*u**2 - 5*u. Let b(j) be the first derivative of v(j). Determine q, given that b(q) = 0.
0, 1
Suppose -56 = -3*v - 5*h - 62, -h - 6 = -v. Determine n so that 2/13*n**v - 4/13*n + 0 - 2/13*n**2 = 0.
-1, 0, 2
Let q(g) be the third derivative of g**7/210 + g**6/40 - g**5/10 - g**4/3 + 2*g**2 + 1. Solve q(p) = 0.
-4, -1, 0, 2
Suppose 0 = j - 0*g + 4*g - 30, 0 = j - g - 10. Determine a so that -2*a**2 - a**3 + j*a**2 - 8*a - 3*a**3 = 0.
0, 1, 2
Let a(s) be the first derivative of -5*s**4/16 - 37*s**3/12 + 13*s**2/4 + 4*s + 111. Factor a(g).
-(g - 1)*(g + 8)*(5*g + 2)/4
Find f, given that -13/7*f**4 + 15/7*f**3 + 0 - f**2 + 1/7*f + 4/7*f**5 = 0.
0, 1/4, 1
Let g = 155/23 - 637/115. Factor 18/5*k**2 - 18/5*k - 6/5*k**3 + g.
-6*(k - 1)**3/5
Let u = 581/2 + -276. Let i = u + -14. Solve -i*s**3 + 2 - 4*s + 5/2*s**2 = 0 for s.
1, 2
Let w = 40 - 19. Suppose 5*s - 4 = 2*v, 0 = -3*s - 0*s - 5*v + w. Factor -t**4 + 5*t**3 + 2*t**s - 1 - t**5 + 0*t**4 - t - t**3 - 2*t**3.
-(t - 1)**2*(t + 1)**3
Let o(b) = -3 + 11 - b**2 - 9 - 10*b. Let f(z) = 10*z. Let t(i) = 6*f(i) + 5*o(i). Determine s so that t(s) = 0.
1
Let s(u) = 2*u**4 + 14*u**3 + 49*u**2 + 35*u + 1. Let h(p) = -p**4 - p**3 - p**2 + p - 1. Let j(m) = -h(m) - s(m). Suppose j(b) = 0. What is b?
-6, -1, 0
Let t(c) = -33*c + 332. Let u be t(10). Find x, given that 1/3*x**3 + 5/3*x + 4/3*x**u + 2/3 = 0.
-2, -1
Let c be (-52)/(-14) + (-6)/(-21). Suppose -3*r + c = -2*r. What is z in 2*z + 2*z**5 + 2*z**4 - 4*z**3 - 2 - 7*z**4 + 3*z**4 + r*z**2 = 0?
-1, 1
Let l = 106 + -108. Let i be (l + 30/12)/((-3)/(-9)). Factor -i*q**2 + 9/2*q - 3.
-3*(q - 2)*(q - 1)/2
Let n be ((-20)/6)/(2/(-3)). What is c in -15*c**3 - 63 + 20*c**n + 25*c**4 + 63 - 5*c - 25*c**2 = 0?
-1, -1/4, 0, 1
Let o(d) = d**2 + 7*d + 6. Let v be o(-9). Factor -3*b**3 - v*b**2 - 28*b - 38*b + 51*b + 150.
-3*(b - 2)*(b + 5)**2
Let a be (-4)/(-40)*-2*4080/(-32). Find i such that -87/2*i**2 - 3*i + 9*i**4 + 12 + a*i**3 = 0.
-4, -1/2, 2/3, 1
Let r(o) be the first derivative of -2*o**5/35 + 2*o**3/3 + 6*o**2/7 - 158. Factor r(t).
-2*t*(t - 3)*(t + 1)*(t + 2)/7
Let w = -3 - -5. Let a(i) = i - 4. Let l be a(7). Factor -9*m**3 + 2*m**w + 23*m**3 - 6*m**l.
2*m**2*(4*m + 1)
Suppose 2*y - 1 - 3 = 0. Let v(q) be the first derivative of -5 + 0*q + 1/12*q**y - 1/6*q**3 + 1/8*q**4 - 1/30*q**5. Let v(o) = 0. Calculate o.
0, 1
Let p(a) = 11*a**2 - 81*a - 7. Let s(k) = 8*k**2 - 53*k - 5. Let v(u) = 5*p(u) - 7*s(u). Factor v(i).
-i*(i + 34)
Factor 0*h**2 - 85*h - 76 + 76 - 5*h**2 - 80.
-5*(h + 1)*(h + 16)
Let h(s) be the second derivative of s**7/1960 + s**6/420 - 3*s**5/280 - 8*s**3/3 + 37*s. Let u(y) be the second derivative of h(y). Factor u(w).
3*w*(w - 1)*(w + 3)/7
Find u such that 0 - 15/8*u**3 + 21/4*u**4 - 21/4*u**2 + 3*u - 9/8*u**5 = 0.
-1, 0, 2/3, 1, 4
Let f(b) be the second derivative of -b**7/1400 + 11*b**6/600 - 7*b**5/40 + 5*b**4/8 - 13*b**3/6 - 16*b. Let g(t) be the second derivative of f(t). Factor g(y).
-3*(y - 5)**2*(y - 1)/5
Let z(u) be the first derivative of 1/120*u**6 + 0*u**2 + 0*u**3 - 3*u + 2 + 1/20*u**5 + 1/12*u**4. Let j(l) be the first derivative of z(l). Factor j(x).
x**2*(x + 2)**2/4
Let r(p) be the second derivative of -71*p**6/10 + 3*p**5/10 - 21*p. Find t such that r(t) = 0.
0, 2/71
Let g(y) be the third derivative of y**8/6720 + y**7/504 + 7*y**6/720 + y**5/40 + y**4/4 + 20*y**2. Let z(d) be the second derivative of g(d). Factor z(o).
(o + 1)**2*(o + 3)
Suppose 0 = 3*i + i - 7*i - 3*b, -4*b = i. Find a, given that i + 8/11*a - 2/11*a**2 = 0.
0, 4
Let p(r) be the third derivative of r**7/1344 - r**6/180 + r**5/240 + r**4/12 - 47*r**3/6 - r**2 + 4. Let g(d) be the first derivative of p(d). Factor g(t).
(t - 2)**2*(5*t + 4)/8
Let s(q) be the first derivative of 3*q**3 + 10 - 3*q**2 - 3/4*q**4 + 0*q. Let s(b) = 0. Calculate b.
0, 1, 2
Let -1/2*q**3 - 45/2*q + 11 + 12*q**2 = 0. Calculate q.
1, 22
Let y(f) be the second derivative of f**4/48 - 11*f**3/3 - 45*f**2/2 - 124*f - 2. Factor y(b).
(b - 90)*(b + 2)/4
Let d(g) be the second derivative of 5/2*g**2 - 14*g - 5/3*g**3 + 5/12*g**4 + 0. Find p such that d(p) = 0.
1
Let w be (-6 - 3485/(-225)) + 10/90. Factor 2/5*b**3 + w*b + 72/5 - 22/5*b**2.
2*(b - 6)**2*(b + 1)/5
Let r(y) be the second derivative of -y**5/160 - 53*y**4/48 - 209*y**3/48 - 13*y**2/2 + 14*y + 11. Solve r(l) = 0 for l.
-104, -1
Let i be 22/((-1)/(4/(-8))). Suppose -17 = -14*r + i. Solve 88/5*b + 96/5*b**4 + 194/5*b**3 + 18/5*b**5 + 188/5*b**r + 16/5 = 0.
-2, -1, -2/3
Factor -1458*t**5 - 109 - 110*t**2 - 234*t**2 - 608*t + 1566*t**3 + 972*t**4 - 19.
-2*(t - 1)**2*(9*t + 4)**3
Let c(m) = m**2 + 38*m + 361. Let w be c(-19). What is k in 2/15*k + w - 2/15*k**2 = 0?
0, 1
Suppose 8425*w - 24 = 8413*w. Factor 0*d + 0 - 3/4*d**w + 1/4*d**3.
d**2*(d - 3)/4
Let x(q) be the first derivative of 1/4*q**4 - 1 + 0*q**2 + 1/3*q**3 + q + 1/20*q**5. Let g(l) be the first derivative of x(l). Solve g(n) = 0.
-2, -1, 0
Let c be ((-2)/4 - -1)*34. Let 12*b**4 + c*b**4 - 27*b**4 + 5*b - 2*b**2 - 2*b**3 - 3*b = 0. What is b?
-1, 0, 1
Let f(k) be the second derivative of -k**7/2940 + k**6/1260 + 11*k**3/6 + 4*k. Let q(w) be the second derivative of f(w). Factor q(n).
-2*n**2*(n - 1)/7
Let s be ((-137)/274)/(1*-2 + 0). Let p be (-2)/((-8)/(-7)) + 2. Factor -1/4*u**4 + p*u**2 - s*u + 0 + 1/4*u**3.
-u*(u - 1)**2*(u + 1)/4
Let g(d) be the second derivative of d**7/12600 - d**6/720 + d**5/150 - 5*d**4/12 - 10*d. Let t(a) be the third derivative of g(a). Find x, given that t(x) = 0.
1, 4
Find w such that -3*w + 1/4*w**2 + 9 = 0.
6
Let c(s) be the second derivative of -25*s**4/4 + 70*s**3/3 + 10*s**2 + s + 63. Factor c(n).
-5*(n - 2)*(15*n + 2)
Let b(n) be the third derivative of 1/330*n**6 + 0*n - 1/22*n**4 - 11*n**2 + 0 - 1/33*n**3 + 3/385*n**7 + 1/462*n**8 - 4/165*n**5. Suppose b(f) = 0. What is f?
-1, -1/4, 1
Let u(s) be the second derivative of -s**5/40 + 9*s**4/4 + 37*s**3/4 + 14*s**2 - s + 85. Factor u(i).
-(i - 56)*(i + 1)**2/2
Let d be (-12)/3*3/(-6). Determine q, given that -4*q**d - 3*q**3 - q**2 - 3*q**3 + q**3 = 0.
-1, 0
Let q(j) be the third derivative of -j**8/120960 + j**7/7560 - j**6/1440 + 13*j**5/60 - 11*j**2. Let s(u) be the third derivative of q(u). Factor s(b).
-(b - 3)*(b - 1)/6
Let k(j) = -3*j**3 + 5*j**2 + 5. Let z = 13 + -1. Let r = 17 - z. Let q(d) = -4*d**3 + 6*d**2 + 6. Let a(n) = r*q(n) - 6*k(n). Factor a(o).
-2*o**3
Let t be (-2 - 10*1)/(1218/(-87)). Factor 0*n**2 + 0 + 2/7*n**5 + 4/7*n**3 + 0*n + t*n**4.
2*n**3*(n + 1)*(n + 2)/7
Let g be (-3)/(-12)*11/((-9240)/(-16)). Let o(s) be the third derivative of -1/42*s**4 - 1/21*s**3 + 0*s - g*s**5 + 0 + 5*s**2. Factor o(f).
-2*(f + 1)**2/7
Let u(p) be the first derivative of -4/7*p - 5/14*p**4 - 18 - p**2 - 6/7*p**3 - 2/35*p**5. Suppose u(f) = 0. What is f?
-2, -1
Let d(i) be the first derivative of 8*i**6/27 + 196*i**5/45 + 95*i**4/18 - 340*i**3/27 - 53*i**2/9 + 44*i/9 + 95. Determine s, given that d(s) = 0.
-11