ermine m so that v(m) = 0.
-17, -1, 9
Let o(s) be the second derivative of 281*s + 0 + 3/2*s**3 - 1/16*s**4 - 4*s**2 - 1/80*s**5. Factor o(g).
-(g - 4)*(g - 1)*(g + 8)/4
Factor -56*d**3 - 112*d**4 - 70*d**4 + 20*d**3 - 54*d**3 + 864 + 1038*d**2 - 1814*d + 184*d**4.
2*(d - 27)*(d - 16)*(d - 1)**2
Let t(d) = 16*d**3 - 4298*d**2 - 1086*d. Let a(k) = 3*k**3 + 10*k**2 + k. Let x(l) = -8*a(l) + t(l). Factor x(m).
-2*m*(m + 547)*(4*m + 1)
Let x(n) be the third derivative of -n**6/30 + n**5/5 + 9*n**4 + 452*n**2 + 2*n + 2. Suppose x(u) = 0. Calculate u.
-6, 0, 9
Let o(u) be the first derivative of -72*u + u**3 - 13 - 15/2*u**2. Find y, given that o(y) = 0.
-3, 8
Let a = -11727 - -11735. Let i(v) be the first derivative of 5*v**2 + 12 - a*v - 2/3*v**3. Factor i(u).
-2*(u - 4)*(u - 1)
Solve 56*u**2 - 2024*u**2 - 652*u**3 - 78 - 580 - 1972*u + 2*u**4 = 0.
-1, 329
Let s(j) = j**2 - 2*j - 6. Let d be s(4). Solve -10*w**d - 16 + 22*w + 11*w + 9*w + 2*w = 0.
2/5, 4
Let q = 23131/30812 + -11/15406. Factor q*r**2 + 2883/4 + 93/2*r.
3*(r + 31)**2/4
Let n(u) = 219*u + 63731. Let s be n(-291). Factor 1 + 2/3*w**s + 1/6*w**3 - 11/6*w.
(w - 1)**2*(w + 6)/6
Let t(i) be the first derivative of -46 + 0*i - 27/38*i**4 + 4/19*i**2 + 8/57*i**3 - 7/57*i**6 + 52/95*i**5. Suppose t(j) = 0. What is j?
-2/7, 0, 1, 2
Let q be (-6)/((-9)/12*2). Let y(w) be the first derivative of -23 - w**4 + 13*w**2 - 19*w**2 + 8*w + 2*w**q. Factor y(i).
4*(i - 1)**2*(i + 2)
Let z(u) be the first derivative of u**6/21 - 16*u**5/7 + 32*u**4/7 + 992*u**3/21 - 1552*u**2/7 + 2432*u/7 - 3494. Determine h so that z(h) = 0.
-4, 2, 38
Suppose -917*x - 122689 = -127274. Let -2/3*g**2 + 4/9*g + 14/9*g**4 - 2/3*g**x - 2/3*g**3 + 0 = 0. Calculate g.
-2/3, 0, 1
Suppose -8*w = -5*w + m + 4, -w = 2*m + 8. Suppose 0 = b, w*f + 4*f + 5*b = 12. Factor -3/2*i**f - 3/2 + 3/2*i + 3/2*i**2.
-3*(i - 1)**2*(i + 1)/2
Let r(f) be the first derivative of 2*f**3/57 - 100*f**2/19 + 582*f/19 - 3003. Determine o so that r(o) = 0.
3, 97
Let f = -31206 - -124857/4. Determine j so that -15/4*j**2 + 1/4*j**3 - f*j - 17/4 = 0.
-1, 17
Let w(a) be the first derivative of -5*a**3/3 + 2645*a**2/2 - 2640*a - 8117. Factor w(g).
-5*(g - 528)*(g - 1)
Let h be (4/(-8))/(1/(-6)). Factor -6*j**2 + 311*j**3 - 299*j**h - 12*j - 3*j**4 + 0*j**4 + 9.
-3*(j - 3)*(j - 1)**2*(j + 1)
Let n be (-1 + -12)*(-15)/5. Determine i so that 167*i + 442 + 171 + 4*i**2 - n*i + 411 = 0.
-16
Let d(l) = -21*l**2 + l + 169. Let v be d(10). Let a = -1921 - v. Find s, given that -4/9*s**4 - 2/9*s + a + 2/9*s**5 + 4/9*s**2 + 0*s**3 = 0.
-1, 0, 1
Let q(o) = -80*o - 717. Let j be q(-9). Let i(h) be the second derivative of 1/3*h**4 + 4*h**j - 32*h + 18*h**2 + 0. Let i(u) = 0. Calculate u.
-3
Suppose 6*r**5 - 3*r**5 - 17*r**3 - 60*r**2 - 21*r**3 - 3*r**4 + 5*r**3 - 15*r**3 = 0. Calculate r.
-2, 0, 5
Suppose d = -3*i - 0*i + 17, 5*d - 2*i - 51 = 0. Suppose -3 = -c, -3*y - 21 = -5*y + 5*c. Factor d - 23*h + 7 + y*h**2 - 2*h**3 - h**3 - 10*h.
-3*(h - 3)*(h - 2)*(h - 1)
Let f(i) be the second derivative of i**4/90 + 16*i**3/45 - 19*i**2/5 - 5*i - 5. Find d such that f(d) = 0.
-19, 3
Suppose 17 + 8 = 5*f. Let j(r) = 287*r**2 + 16 + 4 - 283*r**2 + 20*r**3 + 32*r. Let s(x) = -7*x**3 - x**2 - 11*x - 7. Let v(k) = f*j(k) + 14*s(k). Factor v(w).
2*(w + 1)**3
Let d(l) be the first derivative of l**5/15 + 3*l**4/4 + 7*l**3/3 + 19*l**2/6 + 2*l - 1005. Factor d(a).
(a + 1)**3*(a + 6)/3
Let g(p) = -p**3 + 10*p**2 + 14*p - 17. Let z be g(11). Let q be (-4*(-5)/(-5))/(z - 26). Let -52/5*i - q*i**4 + 18/5 + 48/5*i**2 - 12/5*i**3 = 0. Calculate i.
-9, 1
Suppose 2*g = -2*g + 8. Let z = -429 + 432. Factor 9*t**2 - 36 - 4*t**z - 60*t - 22*t**2 - 15*t**g.
-4*(t + 1)*(t + 3)**2
Let d(x) = x**2 - 299*x + 21230. Let l be d(183). Suppose 2/23*q**3 + 0*q**l - 8/23*q + 0 = 0. What is q?
-2, 0, 2
Let q(y) be the third derivative of y**7/84 - 83*y**6/6 - 1331*y**5/24 - 555*y**4/8 + y**2 + 3*y - 26. Factor q(s).
5*s*(s - 666)*(s + 1)**2/2
What is h in 4277*h + 6 - 4229*h + h**3 - 6 + 16*h**2 = 0?
-12, -4, 0
Let f(o) be the third derivative of 0 + 336*o**2 + 1/3*o**3 + 1/120*o**6 + 0*o + 4/45*o**5 + 23/72*o**4. Solve f(t) = 0 for t.
-3, -2, -1/3
Suppose -5*t + 5*p = -30, -16 = -t + 5*p + 6. Find h such that -8*h**2 - 24 - 26*h + 2*h**2 + 3*h**t + 8*h = 0.
-4, -2
Suppose 0 = 8*r - 14 - 18. Suppose -2166 + 2186 = r*m. Find z, given that -22/3*z - 22/3*z**2 - 4/3 + 8/3*z**m + 26/3*z**4 + 14/3*z**3 = 0.
-2, -1, -1/4, 1
Suppose 12 = -6723*u + 6733*u - n, -3*n + 26 = u. Solve 31104/11*b**u + 864/11*b + 6/11 = 0.
-1/72
Let h be (-244)/8*13/273. Let g = h - -16/7. Find c, given that 1/6*c**2 + g*c - 1 = 0.
-6, 1
Let u(a) be the first derivative of -2/33*a**3 + 38/11*a**2 - 722/11*a - 36. Factor u(d).
-2*(d - 19)**2/11
Factor -2*k**2 + 0 - 1/4*k**5 + 3/2*k**3 + 3/4*k + 0*k**4.
-k*(k - 1)**3*(k + 3)/4
Let g = -529/102 + 290/51. Let j(r) be the first derivative of -4 + 0*r + 4/3*r**3 - g*r**4 + 0*r**2. Factor j(x).
-2*x**2*(x - 2)
Suppose -a = -5*p - 43, 2*p + 24 - 26 = -2*a. Let o(g) be the first derivative of -1/10*g**2 + 2/5*g + a - 1/15*g**3. Factor o(v).
-(v - 1)*(v + 2)/5
Let s be 2/33*12 + 0. Let r be 2373/(-1695)*(-95)/(-11) + 13. Factor -r*c - s - 2/11*c**2.
-2*(c + 1)*(c + 4)/11
Solve 1389/4*n + 643107/8 + 3/8*n**2 = 0.
-463
Let f(h) = -7*h - 439. Let a be f(-63). Let s be a*-2*(-1)/(-4)*-3. Find u such that 2/7*u**4 + 0 + 16/7*u**2 - 8/7*u - 10/7*u**s = 0.
0, 1, 2
Solve -2620/3*n + 0 - 2/3*n**2 = 0 for n.
-1310, 0
Suppose 6819 - 879 = -27*p. Let x = 222 + p. Solve 2*k**2 + 0 + 4/3*k + x*k**4 - 16/3*k**3 = 0.
-1/3, 0, 1, 2
Let m(y) be the first derivative of 2*y**5/25 + 9*y**4/10 + 2*y**3 + 7*y**2/5 + 4252. Factor m(f).
2*f*(f + 1)**2*(f + 7)/5
Let c = -272 - -274. Let m(d) be the third derivative of 0*d - 22*d**c - 1/20*d**5 - 7/8*d**4 + 0*d**3 + 0. Find s such that m(s) = 0.
-7, 0
Factor 0 + 8204/13*c**2 + 2/13*c**3 + 8413202/13*c.
2*c*(c + 2051)**2/13
Let g(x) be the second derivative of 0 - 1/15*x**3 + 1/50*x**6 + 1/100*x**5 - 49*x + 1/210*x**7 - 1/20*x**4 + 0*x**2. Factor g(n).
n*(n - 1)*(n + 1)**2*(n + 2)/5
Find p, given that -603/7*p**3 - 87/7*p**2 - 63*p**4 + 0 + 18*p - 51/7*p**5 = 0.
-7, -1, 0, 6/17
Suppose 0 = -40*d + 49*d - 828. Suppose -79*w + d*w - 26 = 0. Determine f, given that -1/5*f**3 - 2/5*f - f**w + 8/5 = 0.
-4, -2, 1
Let r(v) = -4*v**3 + 3*v**2 + 9*v - 4. Let a be (-2)/3 + 320/(-60). Let j(w) = 4*w**3 - 4*w**2 - 8*w + 5. Let b(h) = a*j(h) - 5*r(h). Find n such that b(n) = 0.
-1, 5/4, 2
Let w(h) = 2*h**4 + 4*h**3 - 10*h**2 - 58*h - 46. Let k(y) = -468*y + 585*y + 91 - 7*y**3 + y**4 + 19*y**2 - 5*y**4. Let c(d) = -2*k(d) - 5*w(d). Factor c(u).
-2*(u - 3)*(u + 2)**3
Suppose -4*w = -w + 9. Let v(p) = -p**3 - 3*p**2 - 2*p + 3. Let y be v(w). Let -53*s**3 + y*s**2 + 3*s**3 + 6*s**2 + 15*s**4 + 60*s - 20 = 0. What is s?
-1, 1/3, 2
Determine j, given that 9 - 25*j + 135/4*j**3 - 25/4*j**2 - 35/4*j**5 - 11/4*j**4 = 0.
-2, -1, 2/5, 1, 9/7
Let a(m) be the third derivative of 0*m + 0*m**3 - 1/4*m**4 + 29/60*m**5 + 0 + 114*m**2 - 3/40*m**6. Factor a(b).
-b*(b - 3)*(9*b - 2)
Let n(r) be the second derivative of -r**10/181440 - r**9/30240 + 20*r**4/3 - 232*r. Let x(j) be the third derivative of n(j). Find o such that x(o) = 0.
-3, 0
Let l(j) = j**5 + 4*j**4 - j. Let x(c) = -3*c**5 - 7*c**4 + 14*c**3 - 24*c**2 + 4*c. Let g(n) = -4*l(n) - x(n). Determine t, given that g(t) = 0.
-6, -4, 0, 1
Let f(n) be the first derivative of 1/3*n**6 + 1920*n**2 + 150*n**4 - 12*n**5 + 54 - 2304*n - 2320/3*n**3. What is i in f(i) = 0?
2, 12
Let r(t) = -4*t + t**2 + 4*t - 18 + 19. Let o(k) = 12*k**2 + k + 9. Let q(v) = -4*o(v) + 44*r(v). Factor q(b).
-4*(b - 1)*(b + 2)
Suppose -10105*i + 10100*i + 23936 = -16*h, 4 = h - 0. Find y, given that 4/3*y**4 - 3680*y - 184/3*y**3 + i + 2596/3*y**2 = 0.
3, 20
Let n(f) be the second derivative of f**4/6 + 134*f**3/3 - 8*f - 8. Find j, given that n(j) = 0.
-134, 0
Let b = 18525/2 + -203747/22. Factor 20/11 + 2/11*u**2 - b*u.
2*(u - 5)*(u - 2)/11
Find o, given that -41415*o**4 - 122*o - 294*o**2 - 169*o + 579*o**3 + 41421*o**4 = 0.
-97, -1/2, 0, 1
Let b(d) = -11*d**2 + 198*d - 1363. Let y(n) = -20*n**2 + 400*n - 2725. Let k(m) = -5*b(m) + 3*y(m). Factor k(w).
-5*(w - 34)*