e first derivative of -z**5/2 - 105*z**4/8 + 125*z**3 - 395*z**2 + 540*z - 5164. Factor j(s).
-5*(s - 2)**3*(s + 27)/2
Suppose f - 25 = -3. Let u(g) = -g**3 + 22*g**2. Let s be u(f). Determine p, given that 0*p - p - 3*p**4 + s*p**4 + p**4 + p**5 + 2*p**2 = 0.
-1, 0, 1
Solve -304/7*x**2 + 410/7*x - 92/7 - 2*x**3 = 0.
-23, 2/7, 1
Let x(j) be the second derivative of j**7/49 - 2*j**6/105 - 3*j**5/35 + 2*j**4/21 + j**3/7 - 2*j**2/7 - 70*j. Solve x(s) = 0 for s.
-1, 2/3, 1
Let c(a) = a**3 - 4*a**2 + 32*a - 48. Let r(b) = -b**3 + 3*b**2 - 33*b + 49. Let f(k) = 6*c(k) + 5*r(k). Let l(t) be the first derivative of f(t). Factor l(p).
3*(p - 3)**2
Let z(c) be the second derivative of -5*c**4/36 - 5*c**3/18 + 67*c + 22. Suppose z(w) = 0. Calculate w.
-1, 0
What is a in -80*a + 9402*a**2 - 2*a**5 - 14*a**4 - 18814*a**2 + 9404*a**2 + 60*a**3 = 0?
-10, -1, 0, 2
Suppose 0*q + 0 + 2/13*q**4 + 346/13*q**2 + 348/13*q**3 = 0. What is q?
-173, -1, 0
Let b(s) be the second derivative of 1/270*s**6 + 0 + 2/27*s**4 + 0*s**2 - 21*s - 1/20*s**5 + 0*s**3. Suppose b(h) = 0. What is h?
0, 1, 8
Let q(n) be the third derivative of -n**8/336 - n**7/105 + 9*n**6/40 + 14*n**5/15 - 10*n**4/3 - 1311*n**2. Factor q(t).
-t*(t - 5)*(t - 1)*(t + 4)**2
Let k(d) = d**2 + 16*d + 110. Let m be k(-7). Suppose 0 = 14*b + m - 75. Factor 3/2*x**b + 2*x**3 - 1/2*x + 0.
x*(x + 1)*(4*x - 1)/2
Let i(x) be the second derivative of -14 + 1/8*x**4 + x + 1/20*x**5 - x**2 + 1/180*x**6 - 1/9*x**3. Factor i(j).
(j - 1)*(j + 2)**2*(j + 3)/6
Let i be -950*((-15)/6 + 3). Let b = -473 - i. Factor -2/7*j**b - 1/7*j**3 + 0 + 0*j.
-j**2*(j + 2)/7
Let g(v) be the third derivative of v**6/30 - 18*v**5/5 + 665*v**4/6 - 2*v**2 - 491. Let g(d) = 0. Calculate d.
0, 19, 35
Let x = -35987 - -107963/3. Let -2/9*f**4 + 4/9*f - 4/9*f**3 + 8/9*f**2 - x = 0. Calculate f.
-3, -1, 1
Suppose -2*y = 2*l - 32, 5*y + 5*l + 4 = 7*y. What is n in 4 - 15*n + 20*n - 5*n**2 + y - 6 = 0?
-1, 2
Let t(f) be the second derivative of 1/4*f**4 + 1/2*f**3 - 18*f**2 - 13*f + 0. Factor t(y).
3*(y - 3)*(y + 4)
Let c = -144 - -149. Suppose -4*u + 8 = 0, -c*u + 7 = 4*w - 3. Determine o so that -2*o**2 + 1/2*o**4 + 0*o + w + 0*o**3 = 0.
-2, 0, 2
Let g(o) be the third derivative of o**6/600 - o**5/150 - 7*o**4/24 + 8*o**2 + 38. Factor g(i).
i*(i - 7)*(i + 5)/5
Let z = -37971 + 37978. Factor -1/4*s**2 - 49 + z*s.
-(s - 14)**2/4
Let p(g) be the third derivative of g**6/120 + 121*g**5/20 + 14641*g**4/8 + 1771561*g**3/6 - 49*g**2 + 11*g. Factor p(k).
(k + 121)**3
Let l(x) be the second derivative of -x**5/150 + x**4/90 + 2*x - 379. Determine q, given that l(q) = 0.
0, 1
Let u(n) = 47*n**3 - 2732*n**2 + 106939*n + 1353734. Let a(y) = 15*y**3 - 910*y**2 + 35645*y + 451245. Let l(x) = -16*a(x) + 5*u(x). What is w in l(w) = 0?
-10, 95
Let f = 20/27 - -41/54. Let u(y) be the second derivative of f*y**2 + 15/2*y**4 + 0 - 11/2*y**3 + 8*y. Factor u(x).
3*(5*x - 1)*(6*x - 1)
Let q(u) be the second derivative of -9*u**7/28 + 14*u**6/5 - 117*u**5/40 - 21*u**4/2 + 5*u**3 + 6364*u. Find l such that q(l) = 0.
-1, 0, 2/9, 2, 5
Let q = -1722 + 1185. Let z = 5909/11 + q. Factor 0 + z*x**4 - 2/11*x - 2/11*x**2 + 2/11*x**3.
2*x*(x - 1)*(x + 1)**2/11
Suppose 2*i + 10 = 3*d, -4*d = -2*d + i + 5. Suppose -4*x = 3*v - 5, -4*v + 10 = -d*x + 2*x. Let 4*l**5 - 12*l**4 - 6*l**4 - 8*l**v + 14*l**4 = 0. What is l?
-1, 0, 2
Let a(b) = b**4 - b**3 + b + 1. Let q(i) = -i**5 - i**4 + 2*i**2 - 5*i - 5. Let x = 92 + -94. Let h(r) = x*q(r) - 10*a(r). Factor h(w).
2*w**2*(w - 2)*(w - 1)**2
Suppose -3*i - 4 + 17 = -p, 4*i - 3*p = 29. Let 1/3*v**3 + 5/3*v + i*v**2 + 0 = 0. Calculate v.
-5, -1, 0
Let o(u) be the second derivative of 7*u**5/80 - 199*u**4/16 + 85*u**3/12 - 7006*u. Solve o(c) = 0 for c.
0, 2/7, 85
Suppose -6*u = -10*u + 5*g - 61, 4*g + 16 = -4*u. Let b be -3*1/u*12. Suppose 2/3*z + 8/3*z**2 + 2/3*z**3 - b = 0. Calculate z.
-3, -2, 1
Let q be 2/(-4) - 34/(-20). Let y = -5/12518 - -300457/62590. Suppose q*t**3 + 0*t + 14/5*t**5 + 0 + y*t**4 - 4/5*t**2 = 0. Calculate t.
-1, 0, 2/7
Let o(i) be the third derivative of 1/8*i**4 + 1/80*i**5 - 1/160*i**6 + 0 + 2*i**2 + 47*i - 1/2*i**3. Factor o(c).
-3*(c - 2)*(c - 1)*(c + 2)/4
Let i(c) = 2*c**3 - c**2 + c + 1. Let z(l) = 2209*l**4 + 9028*l**3 + 7381*l**2 + 582*l + 14. Let p(q) = -2*i(q) + z(q). What is h in p(h) = 0?
-3, -1, -2/47
Let n(h) be the third derivative of h**8/168 + 164*h**7/105 + 313*h**6/12 + 385*h**5/3 + 2*h**2 + 874. Solve n(l) = 0 for l.
-154, -5, 0
Let o(y) = -333*y + 5. Let g be o(5). Let x = 3636 + g. Suppose 1955*r**2 - x*r**2 + 2*r**3 - 15 + r**3 + 33*r = 0. What is r?
1, 5
Let d be (9 + -5)/(-3 - -5). Let w be (-1)/(-2*d/12). Factor 8*f - 2*f**3 + 3*f**w - f**3 - 4*f**3 + 4*f**2.
-4*f*(f - 2)*(f + 1)
Let v(n) = 37*n + 114. Let j be v(-3). Let l(w) = -6*w**2 - 11*w - 7. Let s(g) = g**2 + 1. Let d(z) = j*l(z) + 21*s(z). What is b in d(b) = 0?
0, 11
Let z(v) be the third derivative of -1/105*v**7 + 15625/3*v**4 + 5/3*v**6 - 390625/3*v**3 - 125*v**5 - 24*v + v**2 + 0. Factor z(l).
-2*(l - 25)**4
Factor 4/3*d**2 - 2936/3 - 2932/3*d.
4*(d - 734)*(d + 1)/3
Let y be 83/17 + (-5 - 870/(-170)) - 2. Let b(s) be the first derivative of -1/28*s**4 + 15 + 2/21*s**y + 1/14*s**2 - 2/7*s. Let b(r) = 0. What is r?
-1, 1, 2
Let v(j) be the second derivative of -j**7/21 - 16*j**6/45 + 17*j**5/15 - 4*j**4/9 - 7*j**3/9 + 66*j. Let v(a) = 0. Calculate a.
-7, -1/3, 0, 1
Let r(l) be the second derivative of -l**9/22680 + l**8/5040 + l**7/1260 + 229*l**4/12 + 222*l. Let o(c) be the third derivative of r(c). Factor o(q).
-2*q**2*(q - 3)*(q + 1)/3
Suppose -84*n = -114*n. Let l(m) be the third derivative of -1/66*m**4 + 1/33*m**3 + 0*m + 1/330*m**5 + n + 4*m**2. Factor l(t).
2*(t - 1)**2/11
Let j(n) be the second derivative of -2/3*n**3 + 1/2*n**5 + 7/6*n**4 + 0 - 2*n - 4/15*n**6 + 0*n**2. Factor j(u).
-2*u*(u - 2)*(u + 1)*(4*u - 1)
Let u be 864/(-160)*(-13)/117. Let 0 - u*q**2 + 54/5*q = 0. Calculate q.
0, 18
Factor -10564/11*p**3 + 2644/11 + 2636/11*p**4 + 15856/11*p**2 - 10574/11*p + 2/11*p**5.
2*(p - 1)**4*(p + 1322)/11
Let o(q) be the second derivative of -1250*q**4/3 - 5*q**3/6 + 1262*q. Factor o(c).
-5*c*(1000*c + 1)
Let t(q) be the first derivative of -q**5/2 - 39*q**4 - 143*q**3/2 - 61*q**2/2 - 906. Suppose t(m) = 0. Calculate m.
-61, -1, -2/5, 0
Let w(s) be the second derivative of s**5/130 + s**4/13 + 5*s**3/39 - 912*s. Factor w(g).
2*g*(g + 1)*(g + 5)/13
Let s(i) be the second derivative of i**6/75 - 7*i**5/10 + 127*i**4/30 - 31*i**3/5 + 22*i - 157. Factor s(k).
2*k*(k - 31)*(k - 3)*(k - 1)/5
Let g(x) be the second derivative of -x**4/12 + x**3/6 - x**2/2 - 5*x - 3. Let o(v) = v**4 - v**3 + 3*v**2 - 5*v + 5. Let f(j) = 5*g(j) + o(j). Factor f(i).
i**2*(i - 2)*(i + 1)
Let n(f) be the third derivative of -14 + 1/30*f**5 + 1/18*f**4 - 5/18*f**3 - 1/90*f**6 - f**2 + 0*f - 1/630*f**7. Factor n(o).
-(o - 1)**2*(o + 1)*(o + 5)/3
Suppose -64806 = -30*o - 2046. Factor 2092*s - o*s - 12*s**4 - 6*s**2 + 15*s**3 + 3*s**5.
3*s**2*(s - 2)*(s - 1)**2
Let r(j) be the third derivative of -j**6/210 + 202*j**5/35 + 58*j**4 + 4880*j**3/21 - 1560*j**2. Factor r(b).
-4*(b - 610)*(b + 2)**2/7
Let h = 42942 + -42940. Suppose -15/2 + 3/4*c + 15/2*c**h - 3/4*c**3 = 0. What is c?
-1, 1, 10
Let c(j) be the first derivative of -2/51*j**3 + 9/17*j**2 + 0*j + 243. Suppose c(n) = 0. What is n?
0, 9
Suppose 2*u = -h + 4, 0 = 15*h - 14*h. Let z(g) be the second derivative of 0 + 0*g**u - 1/54*g**4 - 24*g - 1/27*g**3. Determine x, given that z(x) = 0.
-1, 0
Factor 10*d**2 - 29*d**2 + 16*d**2 - 5828 - 5832*d - d**2.
-4*(d + 1)*(d + 1457)
Let j(q) be the first derivative of 27*q**5/35 - 1557*q**4/28 + 808*q**3/7 + 2670*q**2/7 + 288*q + 1997. Determine a, given that j(a) = 0.
-2/3, 3, 56
Let l(y) be the first derivative of -y**4 - 4/3*y**3 + 4/5*y**5 - 69 + 2*y**2 + 0*y. Suppose l(g) = 0. Calculate g.
-1, 0, 1
Let y(v) = -v**3 - 2*v**2 - v + 9. Let g(n) = 10*n**3 + 245*n**2 + 3449*n + 13423. Let d(z) = 4*g(z) + 36*y(z). Suppose d(h) = 0. What is h?
-211, -8
Factor -11449/2 - 11877/4*f - 1/4*f**3 - 54*f**2.
-(f + 2)*(f + 107)**2/4
Let w be ((-16)/(-84))/(57/1197). Let m(q) be the third derivative of -1/42*q**w + 0*q**3 + 27*q**2 + 0*q + 0 + 1/105*q**5. Solve 