be (a/1)/((-9)/9 - -2). Factor -2/9*n**2 + 0 + y*n - 2/9*n**3 + 2/9*n**4 + 2/9*n**5.
2*n**2*(n - 1)*(n + 1)**2/9
Factor -1/2*u**3 - 36 + 11*u**2 + 51/2*u.
-(u - 24)*(u - 1)*(u + 3)/2
Factor 16*z + 10*z**2 + 32/5 + 2/5*z**5 - 2*z**4 - 2*z**3.
2*(z - 4)**2*(z + 1)**3/5
Let z be 3 + 5 + -1 - 6 - (-4)/2. Find m such that -1/4*m**2 - z*m - 9 = 0.
-6
Let x(o) be the first derivative of -10/3*o**3 + 10 - 3/4*o**2 + o. Solve x(f) = 0 for f.
-2/5, 1/4
Let g(a) = -a**2 + 1. Suppose -7*v = -17 - 53. Let c(y) = 2*y**3 + 4*y**2 - 2. Let q(b) = v*g(b) + c(b). Factor q(j).
2*(j - 2)**2*(j + 1)
Let c(y) be the second derivative of y**8/36960 + y**7/6930 - y**6/3960 - y**5/330 + 5*y**4/6 - 3*y. Let a(d) be the third derivative of c(d). Factor a(m).
2*(m - 1)*(m + 1)*(m + 2)/11
Let h(t) be the third derivative of 0 - 8/21*t**3 + 0*t - 1/210*t**6 - 4/21*t**4 - 1/21*t**5 + 8*t**2. Factor h(n).
-4*(n + 1)*(n + 2)**2/7
Let s(t) = 5*t**3 - 41*t**2 - 200*t - 178. Let b(y) = 4*y**3 - 42*y**2 - 196*y - 177. Let w(a) = 6*b(a) - 5*s(a). Factor w(v).
-(v + 2)**2*(v + 43)
Factor 14/3*f**3 - 12*f**2 + 10*f - 8/3.
2*(f - 1)**2*(7*f - 4)/3
Solve 6*p + 16/3 - 46/3*p**2 - 86/3*p**3 - 14*p**4 - 4/3*p**5 = 0.
-8, -1, 1/2
Let p(k) be the first derivative of -k**5/10 + 9*k**4/8 - 23*k**3/6 + 15*k**2/4 + 101. Factor p(i).
-i*(i - 5)*(i - 3)*(i - 1)/2
Determine y so that -26 + 9 - 15 + 12*y**2 - 40*y = 0.
-2/3, 4
Suppose 2*n - 1442 = 2*z - 1438, -4*z = -2*n + 4. Factor 0 + 2/9*l**n + 2/9*l.
2*l*(l + 1)/9
Let n = -19 + 18. Let y be (-4)/((-1)/(n/(-2))). Find t, given that -t**2 - 2*t**y + 4*t - 2*t + 4*t = 0.
0, 2
Let l(z) be the third derivative of z**5/300 + z**4/6 + 10*z**3/3 - 11*z**2 + 3*z. Factor l(c).
(c + 10)**2/5
Let s = 4 - 1. Let x(y) be the third derivative of -5*y**2 + 0*y**4 + 1/150*y**5 + 0*y + 0*y**s + 0. Factor x(v).
2*v**2/5
Let i be 8/(16/3) - (-1)/12*3. Factor 1/4 + 3/4*n**3 + 5/4*n + i*n**2.
(n + 1)**2*(3*n + 1)/4
Let j(m) be the second derivative of -m**5/12 - 5*m**4/12 - 11*m**2/2 + 6*m. Let s(v) be the first derivative of j(v). Factor s(q).
-5*q*(q + 2)
Let z = -3801 - -11413/3. Suppose z*f**4 - 2*f**2 - 4/3 + 14/3*f - 14/3*f**3 = 0. Calculate f.
-1, 2/5, 1
Let g be ((6/(-7))/(2825/(-1582)))/((-3)/(-20)). Find k, given that 4/5*k**3 - 8/5 + 4*k - g*k**2 = 0.
1, 2
Let y(l) = -2*l - 26. Let t be y(-14). Let j be -1*t/(-4) - (0 + -2). Let j*n + 25/4 + 1/4*n**2 = 0. What is n?
-5
Let q be (5 - 1)*(2/(-6) - (-125)/150). Find h, given that 0*h - 2/3*h**q + 0 + 2/3*h**3 = 0.
0, 1
Factor -1108*d**2 + 488*d - 80 + 360*d**2 - 15492*d**3 + 15562*d**3.
2*(d - 10)*(5*d - 2)*(7*d - 2)
Find t, given that -152 - 62 - 12*t**3 - 18*t**2 + 133 + 3*t**4 + 108*t = 0.
-3, 1, 3
Let l be -2 + ((-1)/2)/(2/(-28)). Suppose -r = -l*n + 8, 3*r + 9 = 4*n + 7. Factor -2/3 + 1/3*k + 1/3*k**n.
(k - 1)*(k + 2)/3
Let j be 259/74*(-36)/(-147). Factor 4/7*n - j + 2/7*n**2.
2*(n - 1)*(n + 3)/7
Let a(b) be the first derivative of -b**4/2 - 4*b**3/3 + 3*b**2 - 38. Let u be a(-3). What is x in 0 + u*x + 2/7*x**2 + 2/7*x**3 = 0?
-1, 0
Let u(z) be the first derivative of 2/39*z**3 - 8/13*z - 1 - 3/13*z**2. Factor u(t).
2*(t - 4)*(t + 1)/13
Let b(i) be the third derivative of -i**8/378 - 2*i**7/45 + 4*i**6/27 + i**5/3 - 19*i**4/27 - 16*i**3/9 - 773*i**2. Suppose b(p) = 0. Calculate p.
-12, -1, -1/2, 1, 2
Let f(k) be the second derivative of k**6/30 - 13*k**4/12 - 2*k**3 + 211*k. Factor f(q).
q*(q - 4)*(q + 1)*(q + 3)
Let b be ((-36)/(-315))/((-160)/28 - -6). Let b*t**3 + 0 + 8/5*t**2 + 0*t = 0. Calculate t.
-4, 0
Let q(b) be the first derivative of 0*b**3 + b**4 + 27 + 0*b - 1/10*b**5 + 0*b**2. Suppose q(h) = 0. Calculate h.
0, 8
Suppose -m - g = 0, g = -3*g. Let d be (-5)/((-275)/(-190)) - -4. Factor 0*p - 6/11*p**4 - 2/11*p**2 + m + 2/11*p**5 + d*p**3.
2*p**2*(p - 1)**3/11
Let w(i) be the third derivative of 5*i**8/448 + 47*i**7/280 + 3*i**6/160 - 151*i**5/80 - 37*i**4/8 - 9*i**3/2 + 141*i**2. Determine p so that w(p) = 0.
-9, -1, -2/5, 2
Suppose 0 = -14*b + 4*b + 30. Let i = 6 - b. Factor -1/2*k**i + 0*k**2 - 1/2*k**5 + 0 + 0*k - k**4.
-k**3*(k + 1)**2/2
Let o = 275467/2776 - 384/347. Let h = -98 + o. Factor 0*n**2 - h*n**4 + 0*n**3 + 0 + 0*n.
-n**4/8
Let a(x) = -x**2 + 8*x + 9. Let g(w) = -w**2 - 6*w. Let q be g(-3). Let i be a(q). Factor i*y - 3*y - y**2 - 1 + y.
-(y + 1)**2
Let a(s) be the first derivative of 2*s**3 + 6*s**2 + 8*s + 1. Suppose i = -32 + 40. Let r(m) = -4*m**2 - 8*m - 5. Let g(p) = i*r(p) + 5*a(p). Factor g(u).
-2*u*(u + 2)
Suppose -1/4*d**5 + 0*d + 0 - 1/4*d**4 - 2*d**2 + 5/2*d**3 = 0. What is d?
-4, 0, 1, 2
Let l(m) = m**2 - 3*m. Let d(x) = -4*x. Let s(h) = h. Let p(o) = -2*d(o) - 7*s(o). Let n be ((-2)/3)/((-4)/(-6)). Let w(k) = n*l(k) - 3*p(k). Factor w(y).
-y**2
Let m(p) = p**2 - 67*p - 207. Let w be m(-3). Factor -4/11*l**2 + 0*l + 2/11*l**4 + 2/11 + 0*l**w.
2*(l - 1)**2*(l + 1)**2/11
Factor 4*g - 56*g**4 + 16*g**5 - 229*g**2 + 297*g**3 + 257*g**2 - 264*g**3.
g*(g - 2)**2*(4*g + 1)**2
Suppose 3*m - 4*z + 2*z + 10 = 0, 4*m - 3*z = -15. Factor 7*j - j**2 - 6 - 4*j + m*j**2 + 4*j**2.
3*(j - 1)*(j + 2)
Let v be (0 - 0) + -91 + 94. Let o(g) be the first derivative of 5 + 12*g**2 + 12*g - 9/4*g**4 + g**v. Factor o(q).
-3*(q - 2)*(q + 1)*(3*q + 2)
Find p such that -44*p**3 - 5*p + 49*p + 1369*p**2 - 1405*p**2 + 40 - 4*p**4 = 0.
-10, -1, 1
Let -862/7*w**2 + 1800/7 - 3840/7*w - 78*w**4 + 18/7*w**5 + 602*w**3 = 0. Calculate w.
-1, 2/3, 15
Factor -9900/7*f**2 + 0 + 19202/7*f**3 + 32/7*f**5 + 1250/7*f + 1584/7*f**4.
2*f*(f + 25)**2*(4*f - 1)**2/7
Let z(a) be the first derivative of -a**9/10584 + a**8/2940 - a**6/630 + a**5/420 + 4*a**3 + 10. Let l(j) be the third derivative of z(j). Factor l(p).
-2*p*(p - 1)**3*(p + 1)/7
Let y(k) be the second derivative of 0*k**2 + 1/105*k**6 + 0 + 0*k**4 + 19*k - 1/70*k**5 + 0*k**3. Factor y(j).
2*j**3*(j - 1)/7
Factor 0 + 453/5*m**3 - 693/5*m**4 + 27/5*m**5 - 15*m**2 + 0*m.
3*m**2*(m - 25)*(3*m - 1)**2/5
Let q(l) be the first derivative of l**4/12 - l**3/6 + 47*l + 1. Let j(n) be the first derivative of q(n). Solve j(p) = 0 for p.
0, 1
Determine k so that 4*k**4 + 0*k**4 + 77*k**2 - 2*k**4 - 65*k**2 - 14*k**3 = 0.
0, 1, 6
Let y(t) be the third derivative of t**5/30 - t**4/12 + 2*t**3/3 - 22*t**2. Let v(w) = -6*w**2 + 5*w - 13. Let q(a) = 2*v(a) + 7*y(a). Factor q(c).
2*(c - 1)**2
Let q(h) be the first derivative of -h**6/140 + h**5/210 + 23*h**2/2 - 9. Let i(d) be the second derivative of q(d). Factor i(j).
-2*j**2*(3*j - 1)/7
Let b(v) be the second derivative of 0 + 10*v + 4*v**2 - 1/5*v**5 + 0*v**4 + 2*v**3. Solve b(j) = 0 for j.
-1, 2
Let g(r) be the third derivative of 4*r**2 + 0*r**4 - 1/1575*r**7 - 1/225*r**5 + 0*r + 0 + 1/300*r**6 + 0*r**3. What is c in g(c) = 0?
0, 1, 2
Suppose 256 = m + b - 160, b = 4. Find j, given that -2*j + 39*j**3 - 22*j + m*j**4 - 37*j**4 + 111*j**3 - 60*j**2 = 0.
-2/5, 0, 2/5
Factor -1/4*k**3 - 2*k**2 - 9/2 - 21/4*k.
-(k + 2)*(k + 3)**2/4
Let b(r) = -r**2 - 11*r + 5. Let s be b(-11). Let 4*w**3 + 3*w**s + 3*w**4 - 9*w**5 - 5*w**4 - 8*w**4 = 0. Calculate w.
-2, 0, 1/3
Let w = -51 + 59. Factor -16*a**3 + 2*a**5 + 2*a + 5*a**4 + w*a**2 + 3*a**4 + 17*a**3 + 11*a**3.
2*a*(a + 1)**4
Suppose 211*v - 121*v = 122*v - 96. What is d in 2/5*d**4 - 14/5*d**2 - 8/5*d + 0 - 4/5*d**v = 0?
-1, 0, 4
Let o(k) be the second derivative of -k**7/7140 - k**6/1224 - k**5/510 + k**4/2 + 8*k. Let h(v) be the third derivative of o(v). Factor h(s).
-2*(s + 1)*(3*s + 2)/17
Let j be ((-24)/(-18) - 1)/(2/12). Let o(p) = 17*p**2 + 77*p + 29. Let k(u) = 6*u**2 + 26*u + 10. Let r(t) = j*o(t) - 7*k(t). Find z, given that r(z) = 0.
-3, -1/2
Let l(k) = -16*k**5 + 8*k**3 - 12*k**2 + 8*k. Let d(r) = -r**5 - r**2 + r. Let j(b) = 12*d(b) - l(b). Factor j(q).
4*q*(q - 1)**2*(q + 1)**2
Let d(b) = 96*b**2 + 8*b - 21. Let v(p) = 24*p**2 + 2*p - 6. Let x(n) = 4*d(n) - 18*v(n). Let x(a) = 0. Calculate a.
-3/4, 2/3
Suppose -2*z = i - 10, 0 = -3*z - i - i + 15. Let b(q) be the third derivative of 1/6*q**3 + 0 - 4*q**2 - 1/60*q**z + 0*q + 0*q**4. Let b(j) = 0. Calculate j.
-1, 1
Suppose 2*d - 4 = -4*v, -v = -4*d + 3*v + 8. Let y(i) be the first derivative of 1/10*i**d + 2/5*i - 2 - 1/15*i**3. Determine j, given that y(j) = 0.
-1, 2
Let d be 22 + -7 + 336/(-28). So