 n(b) = 0.
-1, 1
Let r(v) be the third derivative of -v**8/112 + 2*v**7/5 - 111*v**6/20 + 127*v**5/5 - 457*v**4/8 + 72*v**3 + 49*v**2 - 8*v. Suppose r(s) = 0. What is s?
1, 9, 16
Let r(t) be the second derivative of -t**5/35 - 9*t**4/14 - 97*t**3/21 - 102*t**2/7 - 2*t + 3021. What is d in r(d) = 0?
-17/2, -3, -2
Let q(l) be the third derivative of l**5/30 + 5*l**4/12 + 12*l**2 + 48. Factor q(g).
2*g*(g + 5)
Determine c so that -230*c**2 + 172*c**4 + 5*c**5 + 58*c**4 + 40*c - 26943*c**3 - 480*c + 27378*c**3 = 0.
-44, -2, -1, 0, 1
Let p(u) be the second derivative of u**6/10 + 17*u**5/10 + 21*u**4/4 - 2*u**3/3 - 18*u**2 - 6*u + 187. Let p(z) = 0. What is z?
-9, -2, -1, 2/3
Let b(f) = -401*f + 56140. Let g be b(140). Determine w so that w**5 + 13/3*w**4 + g*w**2 + 0*w + 0 + 4/3*w**3 = 0.
-4, -1/3, 0
Let b(r) be the third derivative of r**5/30 + 5*r**4/6 - 416*r**3/3 - 25*r**2 - 5*r + 3. Find a, given that b(a) = 0.
-26, 16
Let s(a) be the third derivative of -a**5/360 - 17*a**4/48 + 53*a**3/18 + 2*a**2 + 145. Let s(g) = 0. What is g?
-53, 2
Suppose 1156/7*q - 50/7*q**4 + 0 - 240/7*q**3 + 102/7*q**2 = 0. What is q?
-17/5, 0, 2
Let f(j) = -j**3 - 7*j**2 + 12*j + 25. Let s be f(-6). Let b = s - -86. Factor 0*c**5 + c**4 - 13*c**4 + b*c**3 - 2*c**5 - 13*c**3.
-2*c**3*(c + 1)*(c + 5)
Let n(x) = x**2 - 23*x + 67. Let v be n(16). Let h = -43 - v. Factor -6 - 2/9*s**3 - 2*s**h - 6*s.
-2*(s + 3)**3/9
Let p be (2808/(-45))/(-8) - (-6 - -13). Let 2/5*q**5 + 28/5*q**3 + 32/5*q**2 + 12/5*q**4 + p + 18/5*q = 0. Calculate q.
-2, -1
Let g(c) = c**2 - 527*c + 528. Let y(x) = -9*x**2 + 4216*x - 4224. Let b(s) = 51*g(s) + 6*y(s). Factor b(h).
-3*(h - 1)*(h + 528)
Let d(z) be the first derivative of 3/2*z**2 - 3*z - 1/4*z**3 - 23. Let d(j) = 0. Calculate j.
2
Suppose -3*l + 9 = 33. Let c(h) = 30*h**2 + 164*h - 24. Let m(y) = 19*y**2 + 109*y - 15. Let s(x) = l*m(x) + 5*c(x). Let s(f) = 0. Calculate f.
-26, 0
Suppose 2*p = 5*f + 48, 68 = -33*p + 37*p - 3*f. Let v be (12/p)/(99/231). Suppose h - 2/3 - 1/3*h**v = 0. What is h?
1, 2
Let t(o) be the third derivative of 0*o + 1/672*o**8 - 486*o**3 - 13/105*o**7 + 173/48*o**6 + 0 - 657/20*o**5 - 891/4*o**4 - 38*o**2. Let t(j) = 0. Calculate j.
-1, 18
Suppose -o + 85 = u - 167, -5*u = 4*o - 1259. Suppose 0 = -10*a + u - 231. Let 4/9 + 2/3*w + 2/9*w**a = 0. What is w?
-2, -1
Let x(s) be the third derivative of s**5/12 + 1025*s**4/8 - s**2 + 107*s - 2. Factor x(h).
5*h*(h + 615)
Let x(b) = 6*b + 36. Let g be x(-15). Let q = g + 58. Factor 0*c**4 + 12*c**2 + 3 - 15 - 4*c + 4*c**3 - 4*c**4 + q.
-4*(c - 2)*(c - 1)*(c + 1)**2
Suppose 4*s - 67*s - 159*s**3 - 41*s + 108 + 886*s**2 + 23*s - 21*s**4 - 1213*s**2 = 0. Calculate s.
-4, -3, -1, 3/7
Let g = -5223 - -5229. Let m(v) be the third derivative of -21*v**2 - 1/10*v**4 + 0 + 8/25*v**5 + 0*v + 7/50*v**7 - 77/200*v**g + 0*v**3. Factor m(f).
3*f*(f - 1)*(7*f - 2)**2/5
Let w(q) be the first derivative of -2*q**3/39 - 5*q**2 + 268*q/13 - 2160. Factor w(t).
-2*(t - 2)*(t + 67)/13
Solve -1335/8 + 3/8*j**3 + 1617/8*j - 285/8*j**2 = 0.
1, 5, 89
Let h(k) = -2*k + 24. Let d be h(6). Suppose 0*p + 4*p - d = 0. Factor 5*w**p + 4*w**3 + 2*w - 3*w**4 - 14*w.
-3*w*(w - 2)**2*(w + 1)
Suppose 10*q**3 + 5/2*q**2 - 10*q - 5/2*q**4 + 0 = 0. Calculate q.
-1, 0, 1, 4
Let i(r) = 20*r**4 - 20*r**3 - 192*r**2 + 688*r - 688. Let p(c) = -c**4 + c**3 + 3. Let s(y) = -i(y) - 16*p(y). Find j such that s(j) = 0.
-8, 2, 5
Let z = 31/2922 - -76/487. Factor -z*u**2 + 0 + 1/6*u.
-u*(u - 1)/6
Suppose 5*c - 35 = -10, j = -4*c + 53. Let d = 43 - j. Factor -11*i**2 - 8*i + 4 + d*i**2 + 8*i.
-(i - 2)*(i + 2)
Let x = -34846 + 34867. Factor x*v**2 + 507/2 + 663/4*v + 3/4*v**3.
3*(v + 2)*(v + 13)**2/4
Let y(v) be the third derivative of -1/1848*v**8 + 3/11*v**3 - 1/385*v**7 + 0 - 18*v**2 + 0*v + 1/33*v**5 + 1/110*v**6 - 7/44*v**4. Factor y(m).
-2*(m - 1)**3*(m + 3)**2/11
Let g(n) be the second derivative of -n**7/210 + 3*n**6/50 + 23*n**5/20 + 113*n**4/20 + 51*n**3/5 + 4*n + 127. Find o such that g(o) = 0.
-3, -2, 0, 17
Let -60*b**2 + 135*b**5 + 30*b**4 + 46*b**3 - 140*b**5 - 71*b**3 = 0. Calculate b.
-1, 0, 3, 4
Let u(s) be the second derivative of -48*s - 8/33*s**3 + 0*s**2 + 3/22*s**4 - 1/110*s**5 + 0. Let u(f) = 0. What is f?
0, 1, 8
Let v(i) be the first derivative of i**4/4 + 77*i**3 + 13455*i**2/2 + 13225*i - 1679. Factor v(h).
(h + 1)*(h + 115)**2
Let d be ((-6)/(-6))/(-1)*(-2 + 0). Suppose 42 = d*b + b. Solve -42*k - 2*k**4 + b*k**3 - 30*k**2 + 0*k**4 + 60*k = 0.
0, 1, 3
Let g = 1916 + -1900. Let m be (3 + -3)/(g - 14). Factor m + 2/9*h**3 - 4/9*h + 2/9*h**2.
2*h*(h - 1)*(h + 2)/9
Let b(t) be the second derivative of -17*t**6/150 - 57*t**5/50 - 11*t**4/20 + 112*t**3/15 - 6*t**2 - 639*t + 1. Let b(o) = 0. What is o?
-6, -2, 5/17, 1
Let i(h) be the second derivative of h**6/150 - 3*h**5/50 - 7*h**4/15 + 4*h**3 + 144*h**2/5 + 2*h + 62. Solve i(z) = 0 for z.
-4, -2, 6
Let g = 1315 - 1176. Suppose 51 = -44*k + g. Determine z, given that -1/5 + 2/5*z - 1/5*z**k = 0.
1
Let q be ((-4)/(-39))/((-43)/(2838/(-44))). Determine z, given that -q*z**5 + 8/13*z**2 + 0 + 0*z**3 + 0*z - 6/13*z**4 = 0.
-2, 0, 1
Suppose -6154*z + 6153*z + 5 = 0. Let m(i) be the third derivative of -1/4*i**3 - 1/80*i**z + 0*i + 0 - 2*i**2 - 3/32*i**4. Find a such that m(a) = 0.
-2, -1
Let x(j) = -j**3 + 3*j**2 + 4*j + 2. Let p be x(4). Suppose -2*m + p*z + 10 = -z, -10 = 5*z. Factor -15 - 2*y**2 + 5*y**3 - 3*y**m - 5*y + 20*y**2.
5*(y - 1)*(y + 1)*(y + 3)
Suppose -141 = -4*j + 407. Suppose j = 7*b + 32. Factor b*y**2 + 47*y**3 - 104*y**3 + 52*y**3 - 10*y.
-5*y*(y - 2)*(y - 1)
Let g(f) be the second derivative of f**6/135 - 53*f**5/90 + 481*f**4/54 - 269*f**3/9 + 42*f**2 - 4595*f. Determine s so that g(s) = 0.
1, 9, 42
Let i = 131597/12 - 10966. Let c(j) be the first derivative of 3/4*j**2 + i*j**3 - 8 + 1/4*j. Factor c(y).
(y + 1)*(5*y + 1)/4
Let c(t) be the first derivative of -98/3*t**2 - 98 + 4802/3*t + 2/9*t**3. Determine g so that c(g) = 0.
49
Let v(o) be the second derivative of -o**6/10 + 9*o**5/4 + 11*o**4/2 - 48*o**3 + 3*o - 861. Factor v(w).
-3*w*(w - 16)*(w - 2)*(w + 3)
Let w(k) be the third derivative of -k**7/350 + 9*k**6/50 - 7*k**5/20 - 85*k**2 + 2. Determine p, given that w(p) = 0.
0, 1, 35
Let t(d) = 5*d**3 - 35*d**2 + 63*d + 15. Let q be t(14). Factor q*r**2 - 7761*r**2 + 4*r - 4*r - 6*r**5 + 3*r**4 + 5*r**5.
-r**2*(r - 2)**2*(r + 1)
Let o(u) = 2*u - 156. Let k be o(14). Let n be 160/k + (-3)/4 + 2. Let 2/7*h**5 + 0 - 6/7*h**4 - 2/7*h**2 + n*h + 6/7*h**3 = 0. What is h?
0, 1
Let o(n) = -2*n**3 + 169*n**2 - 67*n - 1428. Let s be o(84). Determine a, given that 0*a - 1/7*a**5 + s + 0*a**2 + 0*a**3 - 2/7*a**4 = 0.
-2, 0
Let k(s) = s**2 + 12*s + 15. Let l be k(-11). Factor -312*g**3 - 720*g - 2736*g**2 + 20*g**3 - 8*g**l - 576*g.
-4*g*(g + 18)**2*(2*g + 1)
Let z be (892/3122)/(1/231). What is k in z*k**3 - 43923/2 - 1089*k**2 + 7986*k - 3/2*k**4 = 0?
11
Let b = 16 + -19. Let l = 14 + b. Suppose -4*s**2 - l*s + 15*s + 12*s**3 - 4*s**4 - 8*s**2 = 0. What is s?
0, 1
Let o(t) be the second derivative of 2*t**7/105 + 4*t**6/15 + 16*t**5/15 - 81*t**2/2 - 2*t - 5. Let a(g) be the first derivative of o(g). Factor a(u).
4*u**2*(u + 4)**2
Let c be (-10)/55 + 114/22. Let f be (-2)/4*0/60. Determine z so that -c*z + z**2 + 0*z + 3*z + f*z**2 = 0.
0, 2
Let c(y) be the third derivative of -3/4*y**4 + 5/3*y**3 + 17 + 1/60*y**6 + y**2 + 1/10*y**5 + 0*y. Solve c(a) = 0.
-5, 1
Let j(f) be the third derivative of -1/1680*f**7 - 1/160*f**6 - 1/40*f**5 - 1/16*f**3 + 0*f - 5/96*f**4 - 32*f**2 + 0. Solve j(k) = 0 for k.
-3, -1
Let z(w) be the first derivative of w**6/42 - 9*w**5/35 + 9*w**4/14 + 4*w**3/21 - 12*w**2/7 - 2237. Factor z(i).
i*(i - 6)*(i - 2)**2*(i + 1)/7
Let j = -9026/3 - -3009. Let k(o) be the second derivative of -15*o + j*o**4 - 2/3*o**3 + 0 + 0*o**2. Solve k(c) = 0 for c.
0, 1
Let o = -19 - -91. Factor 24 + 36*x**3 - 28*x - 104*x**3 - o*x**2 + 23*x**3 + 25*x**3.
-4*(x + 1)*(x + 3)*(5*x - 2)
Let v(s) be the first derivative of 0*s**3 - 8*s + 1/6*s**4 - 21 - 1/50*s**5 + 0*s**2. Let g(u) be the first derivative of v(u). Suppose g(f) = 0. What is f?
0, 5
Let b = -129391 + 646957/5. Factor -18/5 - b*z**2 - 12/5*z.
-2*(z + 3)**2/5
Factor -207/2*