 n + 2/5*k**2 + 12/5*k - 2/15*k**3 = 0. What is k?
-3, 0, 6
Let g(w) be the second derivative of -w**4/48 - 123*w**3/8 + 11*w - 17. Determine p, given that g(p) = 0.
-369, 0
Factor -2/5*j**3 + 11355716608/5 + 10704/5*j**2 - 19095936/5*j.
-2*(j - 1784)**3/5
Let f(n) be the first derivative of -5*n**6/18 - 61*n**5/15 - n**4 + 1817. Suppose f(a) = 0. Calculate a.
-12, -1/5, 0
Suppose -4*j - 3*i + 2*i = -8, 3*i = 4*j - 24. Suppose 4*k + 3 = 5*g - 1, -16 = -j*k - g. Factor 7/5*o**k + 0*o + 0 - 3*o**3 + 9/5*o**2 - 1/5*o**5.
-o**2*(o - 3)**2*(o - 1)/5
Let w be (93269/2135 - 43)*450. Factor -192/7*n**2 - w*n - 6075/7.
-3*(8*n + 45)**2/7
Let r(d) be the third derivative of 16*d**2 - 1/6*d**3 + 0*d - 1/480*d**5 - 1/32*d**4 + 0. Factor r(f).
-(f + 2)*(f + 4)/8
Let v(c) = -23*c**2 - 11*c + 38. Let x(a) = -27*a**2 - 11*a + 39. Let i(g) = 7*v(g) - 6*x(g). Let r be i(5). Factor 4/5*l**r + 0*l + 0.
4*l**2/5
Let r(d) = 76*d**3 + 636*d**2 - 696*d - 88. Let m(s) = -153*s**3 - 1274*s**2 + 1390*s + 163. Let l(o) = 4*m(o) + 7*r(o). Factor l(c).
-4*(c - 1)*(c + 9)*(20*c + 1)
Let j(i) = -22*i**2 + 198*i - 800. Let s(u) = -14*u**2 + 133*u - 533. Let x(r) = -5*j(r) + 8*s(r). Find f such that x(f) = 0.
4, 33
Let m = 54 + 97. Let t = m - 437/3. Let 4/3*b**4 - 14/3*b - 4/3*b**3 - 4/3 + 2/3*b**5 - t*b**2 = 0. Calculate b.
-1, 2
Let l(j) be the second derivative of -j**6/45 - j**5/30 + j**4/3 - 6*j + 154. What is n in l(n) = 0?
-3, 0, 2
Suppose -295 = 7*i - 18*i - 48*i. Find h such that 139/2*h**3 + 897/4*h + 202*h**2 + 15/2*h**4 + 169/2 + 1/4*h**i = 0.
-13, -2, -1
Let x(m) be the second derivative of -m**6/10 - 21*m**5/20 - 3*m**4/2 + m - 406. Factor x(b).
-3*b**2*(b + 1)*(b + 6)
Let b(y) be the second derivative of y**6/15 + 19*y**5/20 + 9*y**4/2 + 59*y**3/6 + 11*y**2 - 8647*y. Determine f, given that b(f) = 0.
-11/2, -2, -1
Let w(i) = i**3 - 5*i. Let j = -617 + 615. Let f be w(j). Suppose -f*a**2 + 2/5*a + 4/5 + 4/5*a**3 = 0. What is a?
-1/2, 1, 2
Let w be (-2)/(-15) + (8/(-75))/(98302/(-1610) - -61). Let q(f) = -f**3 + 3*f**2 - 2*f + 2. Let m be q(2). Factor 1/2*i**w + m*i + 2.
(i + 2)**2/2
Let f(o) = -o**3 + 7*o**2 - 5*o + 2. Let p be f(6). Let n(m) be the first derivative of 11 + p*m**2 - 16*m - 4/3*m**3. Let n(q) = 0. Calculate q.
2
Let x be -4 - ((-50)/75)/(1/18). Let -x*o**2 + 10*o**4 - 18*o**4 - 28*o**3 - 4*o**4 = 0. Calculate o.
-2, -1/3, 0
Let y(r) be the first derivative of r**4/7 + 18*r**3/7 + 58*r**2/7 + 66*r/7 + 2094. Suppose y(d) = 0. Calculate d.
-11, -3/2, -1
Let d(y) be the second derivative of y**4/30 + 8536*y**3/15 + 18215824*y**2/5 + 2722*y - 1. Factor d(b).
2*(b + 4268)**2/5
Suppose -7*n = 2*f - 8*n - 7, 1 = f + 2*n. What is q in 84*q**2 - 18 + 5*q**4 - f*q**3 + 14*q**3 - 2*q**4 - 108*q - 38*q**3 + 66 = 0?
1, 2, 4
Let q(g) = -9*g + 59. Let p be q(6). Let 20*t**2 + 62 + 5*t + p*t**3 - 162 + 70 = 0. Calculate t.
-3, -2, 1
Determine j so that -34688*j**2 + 34724*j**2 - 59*j - 3*j**3 + 626*j = 0.
-9, 0, 21
Let x(f) be the first derivative of -2*f**5/15 + 29*f**4/6 - 1117*f**3/18 + 667*f**2/2 - 1587*f/2 - 1773. Factor x(g).
-(g - 3)**2*(2*g - 23)**2/6
Let j = -53 + 56. Suppose 4*y - 18 = 2*y + r, 28 = j*y - 2*r. What is g in y + 4 + 20*g**2 - 24*g**2 + 16*g + 8 = 0?
-1, 5
Let i = 13985 - 13982. Let o(f) be the first derivative of -2/35*f**5 + 0*f + 10/21*f**i + 6/7*f**2 + 2 - 1/7*f**4. Factor o(c).
-2*c*(c - 2)*(c + 1)*(c + 3)/7
Let g(n) be the third derivative of -n**10/302400 + n**8/13440 + n**7/5040 + 11*n**5/12 - 190*n**2. Let i(k) be the third derivative of g(k). Factor i(m).
-m*(m - 2)*(m + 1)**2/2
Let p(w) be the third derivative of w**6/540 - 4*w**5/135 + 5*w**4/108 + 50*w**3/27 - 1385*w**2. Let p(i) = 0. What is i?
-2, 5
Let m(c) be the second derivative of c**6/40 + c**5/5 + 5*c**4/8 + c**3 + 16*c**2 + c + 5. Let i(x) be the first derivative of m(x). Solve i(w) = 0.
-2, -1
Let p(v) be the third derivative of -3/100*v**5 - 40*v**2 + 3/10*v**3 - 1/40*v**4 + 0*v + 0 + 1/200*v**6. Find q such that p(q) = 0.
-1, 1, 3
Let p(q) be the third derivative of 1/40*q**6 - 25*q**2 - 3*q + 0 + 1/70*q**7 + 0*q**4 - 1/20*q**5 + 0*q**3 - 1/112*q**8. Find d, given that p(d) = 0.
-1, 0, 1
Let g(n) be the first derivative of -2*n**6/3 - 64*n**5/5 - 93*n**4 - 312*n**3 - 432*n**2 + 929. Find q, given that g(q) = 0.
-6, -4, -3, 0
Let d(c) = c + 9. Let x be d(-5). Suppose x - 7 = -n. Let -5*p + 10*p**2 + 10*p - 5 - 5 - 5*p**n = 0. Calculate p.
-1, 1, 2
Let o(z) = 3*z**3 - 9*z**2 + 6*z - 15. Let w(i) = -i**3 + 2*i**2 - i + 4. Let l be (0 - -3) + 83 + -90. Let a(v) = l*o(v) - 15*w(v). Find c such that a(c) = 0.
-3, 0, 1
Suppose -1094 - 186 = -270*l + 70. Let v(p) be the first derivative of -1/5*p**5 - 2*p - 1/4*p**4 + p**3 + 1/2*p**2 + l. Factor v(n).
-(n - 1)**2*(n + 1)*(n + 2)
Let a = 805219 + -805217. Find h such that 2/5*h**3 - 22/5*h - 4/5*h**a + 24/5 = 0.
-3, 1, 4
Suppose 65522 - 712/9*u**3 + 2/9*u**4 + 128872/3*u + 61196/9*u**2 = 0. Calculate u.
-3, 181
Let y be 112/21 - 4/(1 - 2). Let q be 2 - -6*(-2)/6. Determine s, given that 4*s**5 + 0*s + q - 8*s**3 - y*s**4 + 0*s**2 = 0.
-2/3, 0, 3
Let z(c) = -131*c**3 - 129*c**2 + 1439*c + 1587. Let k(j) = -765*j**3 - 775*j**2 + 8635*j + 9520. Let r(g) = 6*k(g) - 35*z(g). Factor r(u).
-5*(u - 9)*(u + 1)*(u + 35)
Suppose 15 = 5*f + 5. Factor f*d**2 - 90*d + d**2 - 21 + 253 + 443.
3*(d - 15)**2
Let g(v) be the second derivative of 3*v**5/20 - 5*v**4 + 93*v**3/2 - 189*v**2 + 663*v. Let g(k) = 0. What is k?
3, 14
Let l(q) be the third derivative of q**8/168 - 51*q**7/35 + 149*q**6/60 + 457*q**5/30 - 25*q**4/2 - 304*q**3/3 + 2*q**2 - 65. Let l(h) = 0. Calculate h.
-1, 1, 2, 152
Let h(s) be the second derivative of s**6/50 + 57*s**5/100 - 44*s**4/5 + 78*s**3/5 + 8359*s. Find q, given that h(q) = 0.
-26, 0, 1, 6
Determine u, given that 0 - 1/6*u**3 + 15/2*u - 2/3*u**2 = 0.
-9, 0, 5
Let m be (-23)/((-437)/152) + ((-126)/(-4))/(-9). Factor 0 - 21/4*s**2 + m*s + 3/4*s**4 + 0*s**3.
3*s*(s - 2)*(s - 1)*(s + 3)/4
Let m be 0 - ((-18)/(72/(-4)) - 11/6). Let d(w) be the first derivative of -1/4*w**4 + m*w**3 - w**2 + 1 + 1/2*w. Factor d(t).
-(t - 1)**2*(2*t - 1)/2
Factor 225*f - 1323/2 - 3/2*f**2.
-3*(f - 147)*(f - 3)/2
Let n be (-9441)/54 + (-2 - 1*-7). Let t = n - -170. Factor 1/6*s**2 - 1 + t*s.
(s - 2)*(s + 3)/6
Suppose 8*w - 4*w - 24 = 0. Let z be ((-480)/50 - -8)*(-30)/8. Factor 9*m**3 - 3*m**5 + 3*m**3 - m - 5*m - w*m**2 + z - 3*m.
-3*(m - 1)**3*(m + 1)*(m + 2)
Let h(c) = -219*c + 187. Let i be h(-11). Let a = i - 18171/7. Factor 2/7 - 3/7*n + a*n**3 + 0*n**2.
(n - 1)**2*(n + 2)/7
Let t = -54 - -58. Suppose -t*l + 12 = 0, 2*l = 2*h + 3*l - 7. Let -4*d**2 + 150*d**4 - 150*d**4 + h*d**5 - 6*d**3 = 0. Calculate d.
-1, 0, 2
Find f such that -10*f - 68/7 - 2/7*f**2 = 0.
-34, -1
Let t(i) be the first derivative of 16/9*i**2 - 3 - 14/27*i**3 + 1/18*i**4 - 8/3*i. Find j such that t(j) = 0.
2, 3
Suppose -4*y + 60 = 11*y. Let b(s) = 4*s**3 + 4*s**2 - 96*s + 4. Let i(u) = -4*u**3 - 5*u**2 + 96*u - 3. Let q(v) = y*i(v) + 3*b(v). Factor q(w).
-4*w*(w - 4)*(w + 6)
Let x(w) = 10*w**3 + 33*w - 1. Let f(u) = u**3 + 4*u. Let h(c) = 51*f(c) - 6*x(c). Let a(y) = 8*y**3 - 7*y - 5. Let j(s) = 6*a(s) + 5*h(s). Factor j(i).
3*i*(i - 2)*(i + 2)
Let j(m) be the third derivative of m**6/120 - 7*m**5/60 + 3*m**4/8 - 5*m**3/2 + 10*m**2. Let o be j(6). Find h such that -o*h + 3*h**2 + 0*h - 3*h + 3*h = 0.
0, 1
Let s(d) = -21*d**3 - 51*d**2 + 18*d. Let j(i) = -5*i**3 - 13*i**2 + 4*i. Let h be ((-161)/(-21) - 7)*-3. Let g(n) = h*s(n) + 9*j(n). Solve g(v) = 0 for v.
-5, 0
Let -51*j**3 + 67*j**2 + 54*j**3 + 62*j**2 = 0. What is j?
-43, 0
Let l be (-3)/6*36/(-27) - 16/(-3). Let u(j) be the second derivative of -4*j**2 - 2/15*j**l + 0 - 1/5*j**5 + 2/3*j**3 + 7*j + j**4. Factor u(i).
-4*(i - 1)**2*(i + 1)*(i + 2)
Let c(g) be the first derivative of g**6/160 - g**5/20 - 3*g**4/32 + 9*g**3/4 + g**2 + 17*g - 47. Let x(h) be the second derivative of c(h). Factor x(d).
3*(d - 3)**2*(d + 2)/4
Solve 1348 - 2634 + 1790 - 20*v**2 - 486*v + 2*v**3 = 0.
-12, 1, 21
Let j = -181 + 231. Factor -80*s - 17 + 2*s**4 + 10*s**3 - 15 - 2*s**5 + 8*s**4 - j*s**2.
-2*(s - 4)**2*(s + 1)**3
Let y(c) = 7*c**3 + 261*c**2 + 70*c - 131. Let z be y(-37). Let q(j) be the first derivative of 0*j*