termine m so that y(m) = 0.
0, 14, 21
What is w in 529783 + 49033 + 0*w**2 + 2*w**2 - 5252*w + 1812*w + 900384 = 0?
860
Suppose 24 = 5*t + 3*t. Factor -24 - 42*i + 12*i + 90*i**t - 87*i**3 - 3*i**2.
3*(i - 4)*(i + 1)*(i + 2)
Suppose 67 = -3*f + 79. Let x(j) = 12*j**4 + 64*j**3 + 62*j**2 + 14*j. Let a(y) = -y**3 - y**2 + y. Let i(n) = f*a(n) + 2*x(n). Find u such that i(u) = 0.
-4, -2/3, -1/2, 0
Factor -50*j**2 + 3*j**3 - 323*j**2 - 231*j**2 - 526*j**2 - 1482*j - 349*j**2.
3*j*(j - 494)*(j + 1)
Let i(n) be the first derivative of n**7/350 + 3*n**6/200 + 3*n**5/100 + n**4/40 + 19*n**2 + n + 20. Let c(w) be the second derivative of i(w). Factor c(g).
3*g*(g + 1)**3/5
Let b(q) = 20*q**4 + 100*q**3 + 215*q**2 - 355*q - 1090. Let c(o) = -9*o**4 - 50*o**3 - 107*o**2 + 178*o + 544. Let s(z) = 2*b(z) + 5*c(z). Factor s(k).
-5*(k - 2)*(k + 3)**2*(k + 6)
Let j(c) = -59*c + 370. Let g be j(5). Suppose g*p = 10*p + 585. Factor -7/2*h**4 + p*h**3 + 0 - 10*h**2 + 1/2*h**5 + 4*h.
h*(h - 2)**3*(h - 1)/2
Let y(a) be the first derivative of -a**3/21 - 33*a**2/2 + 232*a/7 - 1153. Find n such that y(n) = 0.
-232, 1
Suppose 5*g - 4*f + 2*f = 6, 2*g = -4*f + 12. Let p be (-32)/40*(-5)/g. Let -6*l**3 + 3*l**5 + 26*l**2 - 21*l**2 + 3*l**4 - 11*l**p + 3 + 3*l = 0. Calculate l.
-1, 1
Let f = 14358 - 14356. Factor x**3 + 0 + 4/3*x + 5/2*x**f - 1/6*x**4.
-x*(x - 8)*(x + 1)**2/6
Let d(q) be the second derivative of q**6/90 - 11*q**5/20 + 197*q**4/36 - 133*q**3/6 + 39*q**2 - 1134*q. Solve d(u) = 0 for u.
1, 3, 26
Find t, given that 88/3*t - 160/3 - 2*t**2 + 1/6*t**4 - 7/6*t**3 = 0.
-5, 4
Let v = -78242/21 - -3726. Let i(k) be the second derivative of 0 + 0*k**5 + 2*k + 0*k**2 - 1/3*k**4 + 0*k**3 + v*k**7 + 2/5*k**6. Factor i(d).
4*d**2*(d + 1)**2*(2*d - 1)
Let v be (7/(-13) - 1)*(-115)/(-460). Let x = 3/26 - v. Find s, given that x*s - 1/2*s**4 - 5/4*s**3 + 0 - 1/4*s**2 = 0.
-2, -1, 0, 1/2
Let q = -4064 - -4064. Let v(i) be the second derivative of q + 19*i + 1/20*i**5 + 1/6*i**4 - 1/42*i**7 + 0*i**3 + 0*i**2 - 1/15*i**6. Factor v(m).
-m**2*(m - 1)*(m + 1)*(m + 2)
Let m be (-440)/(-15) - 4/(-6). Factor t**3 + m*t**2 + 28*t - 24 - 22*t**2 - 18*t**2.
(t - 6)*(t - 2)**2
Let k(q) = -3*q + 60*q + 5*q**3 - 26*q - 2 - 8*q**2 - 10*q. Let x(v) = -4*v**3 + 8*v**2 - 19*v + 3. Let d(m) = -3*k(m) - 4*x(m). Factor d(a).
(a - 6)*(a - 1)**2
Let x be -35 - (9 + (-5)/5). Let s = 43 + x. Factor -3/2*b**2 - 3*b**3 + 3/2*b + s.
-3*b*(b + 1)*(2*b - 1)/2
Let u(f) be the second derivative of 3/14*f**2 + 0 - 1/28*f**4 + 3/140*f**5 - 1/14*f**3 - 229*f. Factor u(b).
3*(b - 1)**2*(b + 1)/7
Let d(o) be the third derivative of -25*o**8/21 + 72*o**7/7 + 797*o**6/10 - 6614*o**5/15 - 4978*o**4 - 17328*o**3 + 7*o**2 - 97*o. Solve d(p) = 0 for p.
-2, 57/10
Suppose 116 = -14*i + 60. Let s(t) = -2*t**3 - 18*t**2 + 32*t + 36. Let p(x) = x**3 + 20*x**2 - 34*x - 35. Let k(h) = i*p(h) - 5*s(h). Factor k(o).
2*(o - 2)*(o + 2)*(3*o + 5)
Let v(p) be the second derivative of p**6/105 + 3*p**5/5 + 254*p**4/21 + 418*p**3/7 - 1805*p**2/7 - 7442*p. Let v(r) = 0. What is r?
-19, -5, 1
Factor -121/10*o**3 + 0*o - 2*o**2 + 0 - 9/10*o**5 - 93/5*o**4.
-o**2*(o + 20)*(3*o + 1)**2/10
Let b(v) = 4*v + 7. Let q be b(-1). Suppose 3*o + o = -q*p + 11, 5*p = -3*o + 11. Factor -13*d - 3 - 5 - 2*d**2 + 25*d - o*d**2.
-4*(d - 2)*(d - 1)
Let a = -5344 + 5344. Let r(w) be the first derivative of 0*w**2 + 8 + 1/6*w**4 + 0*w + a*w**3 + 1/15*w**5. Determine l so that r(l) = 0.
-2, 0
Determine f so that 0 + 0*f - 5*f**2 + 15/4*f**3 + 5/4*f**4 = 0.
-4, 0, 1
Suppose 7*r + 3*t - 2 = 12*r, 5*r - t - 6 = 0. Solve -9*q**2 - 6*q**3 - 12*q**3 + 22*q**3 - 6*q**3 + q**r + q**4 = 0 for q.
-2, 0, 4
Determine q so that 169*q**2 + 455*q**3 - 4104 + 323*q**2 - 870*q - 4*q**4 - 390*q - 315*q**3 = 0.
-3, 3, 38
Factor -14*j + 228/5 - 2/5*j**2.
-2*(j - 3)*(j + 38)/5
Let n(i) = 2*i**4 - 30*i**3 - 208*i**2 - 376*i - 236. Let t(y) = 3*y**4 - 27*y**3 - 209*y**2 - 376*y - 235. Let o(u) = -5*n(u) + 4*t(u). Factor o(a).
2*(a + 2)**3*(a + 15)
What is g in 25/3*g**5 + 373568*g - 1546708/3*g**2 + 240344/3*g**3 + 1685*g**4 - 216320/3 = 0?
-104, 2/5, 5
Factor 174/13 + 14*x**4 + 1052/13*x**2 - 708/13*x**3 - 2/13*x**5 - 698/13*x.
-2*(x - 87)*(x - 1)**4/13
Let p be (-14)/56 + (-3)/(216/(-50)). Let t(s) be the first derivative of -p*s + 1/3*s**2 - 2/27*s**3 - 1. Find r such that t(r) = 0.
1, 2
Let w(f) be the second derivative of f**3/3 + 11*f**2 + 10*f. Let t be w(-9). Factor 6*p**2 + 1 + 1 - 5 - 3*p**t.
-3*(p - 1)**2*(p + 1)**2
Suppose 4/7*m**2 + 0 - 2780/7*m = 0. Calculate m.
0, 695
Let o(p) be the first derivative of 8*p**6/3 + 20*p**5 - 58*p**4 - 64*p**3/3 - 3206. What is a in o(a) = 0?
-8, -1/4, 0, 2
Let v(i) be the third derivative of -i**6/210 - 62*i**5/105 + 403*i**4/42 - 680*i**3/21 - 3439*i**2. Factor v(l).
-4*(l - 5)*(l - 1)*(l + 68)/7
Let a be 4048/(-528) - (-28 - 3). Factor a*u - 98/3 - 25/6*u**2.
-(5*u - 14)**2/6
Let o(b) be the third derivative of b**6/120 + b**5/60 + b**4/24 - 57*b**2. Let d(r) = -11*r**3 + 19*r**2 + 34*r - 60. Let k(u) = -d(u) - 6*o(u). Factor k(m).
5*(m - 6)*(m - 1)*(m + 2)
Let s(u) be the first derivative of -14 + 1/14*u**6 - 2/7*u**3 + 12/35*u**5 - 6/7*u - 15/14*u**2 + 3/7*u**4. Determine n, given that s(n) = 0.
-2, -1, 1
Let y be (-6)/8 + -6 + 16623/(-60). Let p = 287 + y. What is l in p*l + 32/5 + 2/5*l**2 = 0?
-4
Suppose -2954*w = -3391*w + 9177. Factor w*g + 1/3*g**3 + 17/3*g**2 - 27.
(g - 1)*(g + 9)**2/3
Let l(u) be the third derivative of -19*u**6/180 - 17*u**5/90 + u**4/18 - 692*u**2. Factor l(c).
-2*c*(c + 1)*(19*c - 2)/3
Let h(x) be the second derivative of -3/2*x**5 + 5/2*x**2 - 5/6*x**6 - 2 + 5/3*x**4 - 32*x + 5*x**3. Let h(i) = 0. Calculate i.
-1, -1/5, 1
Let d(x) be the first derivative of -2*x**4/17 - 1290*x**3/17 + 2424*x**2/17 - 970*x/17 - 850. What is v in d(v) = 0?
-485, 1/4, 1
Let z(m) be the third derivative of 0 - 5/21*m**4 - 128*m**2 - 1/735*m**7 + 0*m + 4/7*m**3 + 1/30*m**5 + 1/210*m**6. Suppose z(r) = 0. Calculate r.
-3, 1, 2
Let w = -4205065/13 - -323477. Factor 40/13*s**3 - 46/13 + w*s + 2/13*s**4 - 132/13*s**2.
2*(s - 1)**3*(s + 23)/13
Let x = -31/4 - -97/12. Let o be (18/(-30))/(94/20 + (-112 - -107)). Factor -x*c**o - 1/3*c + 0.
-c*(c + 1)/3
Suppose -2*l + 38 = -114*n + 118*n, 0 = -5*l + 65. Find b, given that -29/6*b + 1/6*b**n - 13/6*b**2 - 5/2 = 0.
-1, 15
Let q(i) be the second derivative of -5/12*i**4 + 1/20*i**5 + 142*i - 16/3*i**3 - 18*i**2 + 0. Determine c, given that q(c) = 0.
-2, 9
Let r(t) be the third derivative of 0*t + 50/9*t**3 + 10/9*t**4 + 1/36*t**5 - 9*t**2 - 1/72*t**6 - 1. Suppose r(h) = 0. Calculate h.
-2, 5
Suppose -23293*d + 9 = -23290*d. Let m(q) be the first derivative of -8*q**4 + 28*q**d + 4 + 4/5*q**5 - 36*q**2 + 0*q. Factor m(n).
4*n*(n - 3)**2*(n - 2)
Let c be 2*((-24)/28 - 564/(-168)). Let i(g) be the third derivative of 15*g**2 - 2/3*g**3 - 121/60*g**c + 0*g + 11/6*g**4 + 0. Factor i(v).
-(11*v - 2)**2
Let i = -3064 + 3070. Let j(u) be the first derivative of 1/15*u**5 + 16 + 0*u**3 + 0*u - 1/36*u**i + 0*u**4 + 0*u**2. Factor j(o).
-o**4*(o - 2)/6
Suppose 64 = -5*g + n, 4*n = 12 + 4. Let q be (-175)/98 - 42/g. Determine l so that -6/7*l**2 + 0 + 0*l - q*l**3 + 12/7*l**5 + 6/7*l**4 = 0.
-1, -1/2, 0, 1
Suppose 4304/7*w**3 + 1245766976/7*w + 3473328/7*w**2 + 167555658272/7 + 2/7*w**4 = 0. Calculate w.
-538
Solve 320/9*v**3 + 0 + 0*v + 25600/9*v**2 + 1/9*v**4 = 0 for v.
-160, 0
Let s(j) = -13*j**3 - 17*j**3 - 19*j**2 + 8*j**2 + 18*j + 29*j**3 + j**2 - 72. Let h be s(-12). Let -2/13*a**4 + 0 + h*a**2 + 0*a**3 + 0*a = 0. Calculate a.
0
Let l(k) = 327*k + 1962. Let t be l(-6). Let q(i) be the second derivative of -5/6*i**4 + 3/10*i**5 + t + 0*i**2 + 2/3*i**3 - 6*i. Let q(n) = 0. What is n?
0, 2/3, 1
Let k = -9384 + 9384. Let m(u) be the second derivative of 11*u + 0 + 5/6*u**3 - 1/4*u**5 - 5/12*u**4 + 1/6*u**6 + k*u**2. Factor m(l).
5*l*(l - 1)**2*(l + 1)
Suppose -280 = -8*g - 20*g. Suppose 4*s - g*s = s. Factor s + 1/2*v**4 + 0*v - v**3 + 1/2*v**2.
v**2*(v - 1)**2/2
Suppose 453 = 3258*x - 3107*x. Let f(b) be the second derivative of 0 + 0*b**x - 1/12*b**4 + 4*b + 1/2*b**2. Factor f(y).
-(y - 1)*(y + 1)
Let h(v) be the third derivative of 0 - 10*v - 1/3*v**6 + 0*v**3 + 4*v**2 + 1/3*v