+ 371*u. Find o, given that y(o) = 0.
-2, -1, -1/2, 1
Let n(t) = 11*t**2 + 9. Let i be n(-5). What is s in -51*s**2 + i*s**3 - 416 - 240*s + 347*s**2 + 72*s**4 - 616*s**5 + 620*s**5 = 0?
-13, -2, 1
Let f = -197167 + 1380199/7. Factor 33/7 + f*x - 3/7*x**2.
-3*(x - 11)*(x + 1)/7
Let v(a) be the first derivative of -2*a**3/3 + 280*a**2 - 558*a - 990. Solve v(h) = 0.
1, 279
Let s(o) = -o**3 + o**2 - o + 1. Let p(f) = 5*f**5 - 25*f**4 - 125*f**3 + 5*f**2 - 5*f + 5. Let v(q) = -p(q) + 5*s(q). Find x, given that v(x) = 0.
-3, 0, 8
Let v(t) be the third derivative of -17*t**5/30 - 43*t**4/3 - 20*t**3/3 + 4527*t**2. Solve v(x) = 0 for x.
-10, -2/17
Suppose 21 = -4*f + 4*z + 9, -4*f - 4*z + 28 = 0. Let c(w) = -w**3 - 17*w**2 - 16*w + 3. Let l be c(-16). Factor -l*a**2 - 27 + 0*a**f + a + 12*a + 5*a.
-3*(a - 3)**2
Let r(n) = -n**2 + 3*n - 3. Let w be r(2). Let u(q) = q**2 + 3*q - 1. Let a(m) = 4*m**2 + 248*m - 3144. Let k(l) = w*a(l) + 8*u(l). Find c such that k(c) = 0.
28
Let j be (828/(-15))/(20/(-50)). Suppose 32*i - j + 42 = 0. Factor 32/7 - 8/7*d**2 - 4/7*d**i + 16/7*d.
-4*(d - 2)*(d + 2)**2/7
Let v be ((-660)/(-264))/(8/16). Let 0*i**3 + 0 + 26/7*i**4 - 2/7*i**2 - 24/7*i**v + 0*i = 0. Calculate i.
-1/4, 0, 1/3, 1
Solve -60*x**3 + 12*x**4 - 1585*x**2 - 607*x**3 - 1088 - 7*x**4 - 209*x**2 + 3544*x = 0 for x.
-4, 2/5, 1, 136
Suppose 19*z - 21*z - 492 = -3*s, -4*s + 5*z + 663 = 0. Determine c so that 0 + 77*c + 3*c**2 + 26*c + 20*c + 42*c + s = 0.
-54, -1
Determine m so that m**2 + 28/3 - 44/3*m = 0.
2/3, 14
Let b(t) be the second derivative of t**6/50 + 63*t**5/50 - 7*t**4/20 - 30*t**3 - 378*t**2/5 - 2*t - 1683. Solve b(p) = 0 for p.
-42, -2, -1, 3
Let l(v) be the third derivative of -v**7/1680 - 41*v**6/480 - 161*v**5/480 - 5*v**4/12 - 2*v**2 + 47. What is o in l(o) = 0?
-80, -1, 0
Suppose -2986*r**3 + 1494*r**3 + 1495*r**3 - 15*r - 12*r**2 = 0. What is r?
-1, 0, 5
Let m(s) be the third derivative of 0*s**3 - 1/540*s**6 - 4*s**2 - 1/30*s**5 + 5/54*s**4 + 0 + 3*s. Factor m(w).
-2*w*(w - 1)*(w + 10)/9
Let u(m) = -m**3 - 5*m**2 - 3*m - 5. Let b be u(-5). Suppose d - 5*s = 25, 5*s = 5*d - b*d + 5. What is q in -3*q**3 + 2*q + q**d + q**5 + 7*q**3 - 8*q**3 = 0?
-1, 0, 1
Let k = -82342 + 576406/7. Find f such that k*f**3 + 12/7 - 39/7*f - 39/7*f**2 = 0.
-1, 1/4, 4
Suppose 7/3*h**2 + 0 + 4*h + 1/3*h**3 = 0. What is h?
-4, -3, 0
Let z(v) be the third derivative of v**6/60 - 41*v**5/3 + 407*v**4/3 - 1624*v**3/3 - 3061*v**2. Factor z(a).
2*(a - 406)*(a - 2)**2
Let x = 22 + -8. Suppose x*t - 80 = 9*t. Suppose 14*z**4 + 2*z**2 - 6*z**3 - t*z**4 - 6*z**2 = 0. What is z?
-2, -1, 0
Suppose 0 = 44*y - 82*y + 55*y. What is d in y - 1/4*d**2 - 1/2*d = 0?
-2, 0
Factor 186*z - 46*z + 310*z - 459*z**2 + 3*z**3 + 912.
3*(z - 152)*(z - 2)*(z + 1)
Factor 58368*k + 587*k**3 + 3245*k**2 + 4*k**4 + 73728 - 179*k**3 + 8307*k**2.
4*(k + 2)*(k + 4)*(k + 48)**2
Let g(t) = 13*t**2 - 401*t - 420. Let q(o) = -55*o**2 + 1600*o + 1680. Let f(w) = -25*g(w) - 6*q(w). Factor f(v).
5*(v + 1)*(v + 84)
Let n(y) = -25*y**3 + 109*y**2 + 279*y + 166. Let h(w) = 12*w**3 - 56*w**2 - 140*w - 84. Let g(u) = 7*h(u) + 4*n(u). Factor g(b).
-4*(b + 1)**2*(4*b - 19)
Let k(s) = 9*s**2 - 2280*s + 1295050. Let b(x) = -85*x**2 + 20522*x - 11655453. Let z(i) = 4*b(i) + 38*k(i). Suppose z(n) = 0. What is n?
1138
Suppose 5*o = 4*a - 3*a - 29, 5*o + 37 = 3*a. Suppose a*n + 2*n = 24. Factor -f**n + 5*f**4 - 6*f**5 + 10*f**5.
4*f**4*(f + 1)
Let k be (-9 - -1)*1/((-4)/2). Suppose 0 = -k*j - 16 + 28. Find q, given that -q**3 - 5*q**2 + 24 - 44*q + 29*q**2 + 5*q**j - 8*q**3 = 0.
1, 2, 3
Let g be (-60)/3*5/(-25). Factor 5*z**3 - 18*z**3 + 15*z**g + 23*z**2 + 17*z - 21*z - 21*z**3.
z*(z - 1)**2*(15*z - 4)
Let v be (0 + (-10)/8)/(68/544). Let s be (v/(360/(-27)))/((-1)/(-4)). Factor 1/4*k**2 + 1/4*k**s - 1/4*k**4 + 0 - 1/4*k.
-k*(k - 1)**2*(k + 1)/4
Let s(a) be the first derivative of a**4/30 + 2962*a**3/45 + 109816*a**2/3 + 219040*a/3 + 4505. Suppose s(i) = 0. Calculate i.
-740, -1
Let k(i) = 747*i**2 + 751*i + 16. Let d(u) = 1494*u**2 + 1501*u + 37. Let w(s) = 2*d(s) - 5*k(s). Solve w(h) = 0.
-1, -2/249
Suppose 0 = 3*u - 6, -4*i - 5*u + 0*u + 10 = 0. Let f = -11/536 - -279/536. What is s in -s + f*s**2 + i = 0?
0, 2
Let n(p) be the first derivative of -p**4/18 - 52*p**3/9 - 676*p**2/3 + 40*p + 25. Let m(y) be the first derivative of n(y). Factor m(t).
-2*(t + 26)**2/3
Let m = -79 - -91. Suppose -m*t + 19 = 19. Factor 0 + t*y + 1/7*y**4 + 0*y**2 + 2/7*y**3.
y**3*(y + 2)/7
Let n be 4*(-4)/(-16)*-38. Let g = -34 - n. What is x in 17*x - 3*x - 8*x**4 + 2*x**4 - 18*x**2 + 10*x**3 + 4*x**g - 4 = 0?
1, 2
Let 35/6*n - 1/6*n**2 - 11 = 0. What is n?
2, 33
Let g(f) be the second derivative of -f**4/48 + 23*f**3/12 + 47*f**2/8 + 1658*f. Let g(a) = 0. What is a?
-1, 47
Let q(v) = 21*v**2 + 1905*v + 2010. Let j(f) = -3*f**2 + 18*f. Let o(a) = -6*j(a) - q(a). Factor o(u).
-3*(u + 1)*(u + 670)
Let k = 50369 + -50369. Factor 2*n**2 + k + 5/4*n**3 + 1/4*n**4 + n.
n*(n + 1)*(n + 2)**2/4
Let o(l) = 17*l**3 + 18*l**2 - 11*l - 24. Let g(b) = -6*b**3 - 6*b**2 + 4*b + 8. Let n = -306 + 295. Let r(a) = n*g(a) - 4*o(a). Suppose r(v) = 0. Calculate v.
-2, 1
Suppose 113*v + 2058 = 120*v. Determine y, given that 146*y**5 + 146*y**5 - 8*y - v*y**5 + 10*y**3 = 0.
-2, -1, 0, 1, 2
Let k(i) = -15*i**3 + 197*i**2 + 3122*i + 14100. Let j(m) = -159*m**3 + 1968*m**2 + 31221*m + 141000. Let y(b) = -2*j(b) + 21*k(b). Suppose y(h) = 0. What is h?
-47, -10
Suppose -16 - 2/5*t**3 + 2/5*t**2 + 44/5*t = 0. Calculate t.
-5, 2, 4
Let g be 1 + -4 + (12 - 15) + 10. Let t(k) be the third derivative of 0*k + 38*k**2 + 8/15*k**5 + 1/30*k**6 + 7/6*k**g + 0*k**3 + 0. Solve t(z) = 0.
-7, -1, 0
Suppose -a + 96 = 10. Suppose 22 = 36*r - a. Factor -16/5*i**r + 0 - 4*i**2 - 4/5*i**4 - 8/5*i.
-4*i*(i + 1)**2*(i + 2)/5
Let j be 81/18*2 - 39. Let y be (2/j)/((-11)/66) - 0. Factor -8/5*c**2 - 2*c**4 + 0 + 16/5*c**3 + 0*c + y*c**5.
2*c**2*(c - 2)**2*(c - 1)/5
Let h be (11 - (2 + 4))*1. Let 75*t**2 + 7*t - 3*t**4 + 2*t - h*t**3 + 4*t**4 - 72*t**2 = 0. Calculate t.
-1, 0, 3
Factor 0 + 11/3*l**3 + 1/3*l**4 - 3*l**2 - 33*l.
l*(l - 3)*(l + 3)*(l + 11)/3
Let u(z) be the first derivative of 0*z**2 - 1/4*z**4 + 1/6*z**6 + 2/3*z**3 - 1/2*z + 14 - 3/10*z**5. Factor u(r).
(r - 1)**3*(r + 1)*(2*r + 1)/2
Let t = -9470 - -28490/3. Determine i, given that i**2 + 8*i**3 - t*i**4 + 0 - 1/3*i = 0.
-1/5, 0, 1/4
Let g(u) be the first derivative of u**4/6 + 50*u**3/9 - u**2/3 - 50*u/3 + 520. Find o, given that g(o) = 0.
-25, -1, 1
Let a(t) = 17*t**3 - 11*t**2 + 40*t - 17. Let w be a(5). Find k, given that 2*k**4 + 4*k + w*k**3 + 23*k**4 + 3*k**2 - 6*k + 9*k**5 - 2012*k**3 = 0.
-1, 0, 2/9
Let i = 29392 + -29390. Determine s so that 10/9*s**3 + 28/9*s + 0 + 74/9*s**i = 0.
-7, -2/5, 0
Let d = -112 + 112. Suppose 3*f - f - 4 = d. Let 1 + 1/2*x**f + 3/2*x = 0. What is x?
-2, -1
Let f(s) be the third derivative of -53*s**2 - 4/3*s**4 + 0*s - 1/105*s**7 + 0 - 4*s**3 + 1/10*s**6 + 1/10*s**5. Let f(h) = 0. What is h?
-1, 2, 6
Let k(t) be the first derivative of -150 + 31/30*t**4 - 28/15*t**2 + 52/45*t**3 + 4/15*t**5 + 1/45*t**6 - 16/3*t. Solve k(w) = 0 for w.
-5, -2, 1
Let z(t) be the third derivative of t**8/1512 + t**7/21 - 16*t**6/45 + 98*t**5/135 + 15*t**2. Factor z(q).
2*q**2*(q - 2)**2*(q + 49)/9
Let w(s) be the first derivative of -15/2*s**2 + 91 + 5/2*s**4 - 20/3*s**3 + 0*s + 5/6*s**6 + 4*s**5. What is c in w(c) = 0?
-3, -1, 0, 1
Let r = 1086233/5 - 1086231/5. Factor 12/5*h + 0 - 4/5*h**3 + r*h**4 - 2*h**2.
2*h*(h - 3)*(h - 1)*(h + 2)/5
Let i(t) be the first derivative of t**6/12 + 2*t**5/5 - 13*t**4/8 - 20*t**3/3 + 12*t**2 - 3017. Solve i(u) = 0.
-4, 0, 1, 3
Let a = -283 + 291. What is l in 42*l + a*l**2 + 46 - 3*l**2 + 4 + 13*l = 0?
-10, -1
Let b(z) = -14872*z**2 - 47836*z - 38428. Let w(q) = -14874*q**2 - 47834*q - 38426. Let f(g) = -5*b(g) + 6*w(g). Factor f(v).
-4*(61*v + 98)**2
Let u = -1307 + 1307. Let t(y) be the third derivative of u*y + 0 + 25/14*y**3 - 5/28*y**4 + 1/140*y**5 + 5*y**2. Factor t(s).
3*(s - 5)**2/7
Let q = -18 + 18. Suppose -5*r + 15 = 0, q*v = 2*v - 4*r - 52. Determine d, given that 1 - 145 + 16 - 2*d**2 + v*d = 0.
8
Factor -44*r**2 + 9*r**2 + 2034 - 8207*r + 956 - 2248