**2 = 0. Calculate u.
-12, 0
Let f(p) = 3*p**2 + 81*p - 1245. Let o(d) = d**2 + 96*d - 1246. Let u(x) = 2*f(x) - 3*o(x). Let u(l) = 0. Calculate l.
16, 26
Let y(b) = 3*b**3 + 17*b**2 + 10*b + 20. Let i be y(-5). Suppose 8*d**2 - 59*d**4 + 11*d**3 + 2*d**2 - 26*d**3 + i*d**5 + 39*d**4 + 5*d = 0. Calculate d.
-1/2, 0, 1
Let m(d) be the first derivative of -136 - 32/15*d**5 - d**6 + 2/3*d**4 + 5/3*d**2 - 4/3*d + 4*d**3. What is z in m(z) = 0?
-1, 2/9, 1
Suppose 29*q = 46*q - 646. Find d such that -3*d**2 - 433 + 103*d + q*d - 1154 - 3*d = 0.
23
Let a(d) = -57*d**2 + 38*d + 157. Let n be a(-5). Let b = n + 1460. What is v in 2*v - 2/3*v**b + 0 = 0?
0, 3
Suppose -k = 4*y - 17, 23*k - 19*k + 3*y = 16. Let x(a) = 3*a**2 - 132*a + 1722. Let g(r) = -2*r + 1. Let j(f) = k*x(f) + 6*g(f). Factor j(u).
3*(u - 24)**2
Factor 1308*b**2 + 672 - 8428*b + 2696 - 1288*b**2.
4*(b - 421)*(5*b - 2)
Let f(u) be the first derivative of -u**3/5 + 63*u**2/5 - 1248*u/5 - 1764. Determine j so that f(j) = 0.
16, 26
Let a(r) = -122*r - 14028. Let z be a(-115). What is i in -48 - 2/9*i**3 - 24*i - 4*i**z = 0?
-6
Let n(s) be the first derivative of 49*s**5/10 + 112*s**4/3 + 116*s**3/3 + 16*s**2 + 17*s - 8. Let m(q) be the first derivative of n(q). Factor m(g).
2*(g + 4)*(7*g + 2)**2
Let o(x) be the second derivative of -x**6/105 - 6*x**5/35 + 29*x**4/42 + 4*x**3/7 - 4*x**2 + 5854*x. Let o(a) = 0. Calculate a.
-14, -1, 1, 2
Suppose 41*s = 42*s - 2*n - 20, -2 = n. Solve 364*u**4 - 5*u**5 - 749*u**4 + 368*u**4 - u**2 - s*u**3 - 3*u**2 = 0.
-2, -1, -2/5, 0
Let m(d) = -11*d**4 + 8*d**3 - 13*d**2 + 4. Let l(n) be the first derivative of -2*n**5/5 - n**4/4 - n**3/3 + n - 135. Let p(k) = -4*l(k) + m(k). Factor p(i).
-3*i**2*(i - 3)*(i - 1)
Let w(b) = -b - 35. Let g be w(0). Let d = g + 37. Factor 25*o**d - 5*o**4 - 15*o**3 + 14*o**3 + 15*o + 6*o**3.
-5*o*(o - 3)*(o + 1)**2
Let n = -248 - -250. Suppose 4*s - n*b - 10 = 0, 3*s - 13 = -5*b + 1. Determine t, given that 5/7*t + 1/7*t**s - 2/7 - 4/7*t**2 = 0.
1, 2
Let h(c) be the third derivative of -c**5/180 + 7*c**4/72 + 5*c**3/3 - 865*c**2. Factor h(m).
-(m - 10)*(m + 3)/3
Suppose -6*a = -10*a + 16. Suppose 4*i + 8 = a*k - 8, 3*i + 15 = 4*k. Solve 0*b**2 + 0 + 0*b + 2/3*b**k - 2/3*b**4 = 0 for b.
0, 1
Let v = 456 - 695. Let q = v + 241. Solve 9*o**3 - 6*o**q - 1/4 - 11/4*o = 0 for o.
-1/6, 1
Let z be (5 - (53 + -1))*1. Let v = 51 + z. Determine x, given that -4*x**3 - 7*x**4 + 2 + 2*x**4 - 4*x**4 + 4*x**2 - 2*x**5 + 6*x + 3*x**v = 0.
-1, 1
Let a(f) be the first derivative of -f**8/4200 + f**7/1050 + 2*f**6/75 - 109*f**3/3 + 181. Let o(g) be the third derivative of a(g). Factor o(y).
-2*y**2*(y - 6)*(y + 4)/5
Let a = 356272 - 356270. Factor -35*v - 1225/2 - 1/2*v**a.
-(v + 35)**2/2
Let i = -23423/43280 - -43/80. Let n = 537/1082 - i. Let 0 + 1/3*g**3 + n*g**5 + 0*g**2 + 0*g - 5/6*g**4 = 0. Calculate g.
0, 2/3, 1
Let a be 1269/(-141) - -1*12. Let v(q) be the third derivative of -28*q**2 + 0 + 1/300*q**6 - 7/150*q**5 + 16/15*q**a + 0*q + 2/15*q**4. Factor v(c).
2*(c - 4)**2*(c + 1)/5
Let u = -2732 - -2735. Let f(b) be the first derivative of -3/5*b**5 + 2*b**u + 0*b**4 - 3*b + 0*b**2 - 32. Factor f(s).
-3*(s - 1)**2*(s + 1)**2
Let o(z) = z**5 + z**4 - z + 1. Let w = -89 - -87. Let n(x) = x**5 - 2*x**4 - 6*x**3 - 4*x**2 - 3*x + 2. Let p(y) = w*o(y) + n(y). Factor p(a).
-a*(a + 1)**4
Factor -2*c**3 + 64/3*c**2 + 22/3*c + 0.
-2*c*(c - 11)*(3*c + 1)/3
Let g(j) = 10*j**2 - 3*j - 10. Let w be g(-2). Suppose -9*h**3 - 2*h**4 - 78 - w*h**2 + 132 - 7*h**3 = 0. What is h?
-3, 1
Let n(o) = 16*o**3 + 483*o**2 + 567*o + 164. Let c(t) = -t**3 - 7*t**2 + t - 1. Let j(g) = -24*c(g) - 3*n(g). Factor j(v).
-3*(v + 1)*(v + 52)*(8*v + 3)
Let j(v) be the first derivative of v**5/150 + v**4/15 - v**3/3 + v**2/2 + 3*v - 5. Let d(f) be the second derivative of j(f). Suppose d(x) = 0. What is x?
-5, 1
Let b(a) be the second derivative of -65*a - 6/5*a**5 + 4*a**3 + 1/10*a**6 + 0 + 3/2*a**4 - 21/2*a**2. Factor b(z).
3*(z - 7)*(z - 1)**2*(z + 1)
Suppose -30/7*n**2 + 144/7 + 116/7*n - 2/7*n**3 = 0. What is n?
-18, -1, 4
Suppose 0*n + 4/9*n**4 + 4/9*n**3 + 1/9*n**5 + 0*n**2 + 0 = 0. What is n?
-2, 0
Let i = 34453/110 + -3103/10. Let w = -35/352 + 9/32. What is q in -i*q**2 - w*q**4 - 16/11*q**3 + 0*q + 0 = 0?
-4, 0
Let c = -896 + 970. Let a be c/5 + 52/260. Factor 12 - 9/2*r**2 + a*r.
-3*(r - 4)*(3*r + 2)/2
Let g = 101 - 98. Suppose -g*v - 11*v = -84. Suppose -2*w**2 + v*w + 3*w**2 - 3*w - 4*w = 0. What is w?
0, 1
Factor -770*o - 5/2*o**2 + 1545/2.
-5*(o - 1)*(o + 309)/2
Let s(c) = 5*c**2 - 2*c + 2. Let i(v) = 23*v**2 - 136*v - 350. Let m(r) = i(r) - 5*s(r). Let m(x) = 0. Calculate x.
-60, -3
Let z(w) = w**3 + 9*w**2 - 123*w - 101. Let j be z(8). Find d, given that 8/3 - 8/3*d**2 + 2/3*d - 2/3*d**j = 0.
-4, -1, 1
Suppose 2*z - 171 = -3*l, 3*z = -0*z - 2*l + 269. Suppose -z*s + 108*s - 30 = 0. Find k such that 3/2*k**2 - 6*k + s + 5/2*k**3 = 0.
-2, 2/5, 1
Let h be (19/4)/(8/(-32)). Let a = 10 - h. Factor 3*t - a*t + 36 + 4*t**2 + 2*t.
4*(t - 3)**2
Factor -1/5*v**2 + 8*v - 351/5.
-(v - 27)*(v - 13)/5
Let d(l) be the second derivative of l**6/720 + l**5/2 + 75*l**4 + 23*l**3/6 - 3*l**2/2 + 4*l - 21. Let t(i) be the second derivative of d(i). Factor t(o).
(o + 60)**2/2
Let t(u) be the second derivative of -u**5/10 + 2*u**4/3 + 13*u**3 + 54*u**2 + u + 890. Factor t(n).
-2*(n - 9)*(n + 2)*(n + 3)
Let g be (15/60 + 10/(-8))*1. Let q(f) = 2*f**2 + 31*f + 31. Let z be q(g). Find s, given that -44/3*s + 20/3 + 28/3*s**z - 4/3*s**3 = 0.
1, 5
Let r be -1 - -11 - (-151 + 162). Let l be (4/18)/r - (-59424)/3024. Find x such that -100/7 + 60/7*x - 36/7*x**4 - 4/7*x**5 + l*x**2 - 8*x**3 = 0.
-5, -1, 1
Let i(j) be the second derivative of j**5/30 + 7*j**4/6 + 16*j**3 - 7*j**2/2 + 206*j. Let n(f) be the first derivative of i(f). Solve n(t) = 0 for t.
-8, -6
Let a(n) = 5*n**4 - 200*n**3 - 2295*n**2 + 10944*n - 11545. Let x(b) = -2*b**4 + 96*b**3 + 1147*b**2 - 5472*b + 5773. Let j(z) = -3*a(z) - 7*x(z). Factor j(q).
-(q - 2)**2*(q + 38)**2
Let w be (16/(-10))/(-4) + 14/(-245)*-133. Let n(x) be the second derivative of 0 - w*x - 1/6*x**4 + 4/3*x**3 + 0*x**2. Solve n(h) = 0.
0, 4
Let o(f) = 16*f + 1. Let s be o(-2). Let h = s + 34. Factor -15*m**5 - 3*m**4 - 2*m**4 - 13*m**5 + m**h + 32*m**5.
m**3*(m - 1)*(4*m - 1)
Let p(q) = -54*q**4 + 150*q**3 - 67*q**2 - 9*q + 15. Let y(h) = 27*h**4 - 75*h**3 + 33*h**2 + 3*h - 9. Let u(r) = -3*p(r) - 5*y(r). Factor u(o).
3*o*(o - 2)*(o - 1)*(9*o + 2)
Let t(q) be the second derivative of q**6/6 + 7*q**5/4 - 35*q**4/3 - 400*q**3/3 + 23*q - 50. Factor t(g).
5*g*(g - 5)*(g + 4)*(g + 8)
Factor 26532/5*p**2 + 2/5*p**4 - 398/5*p**3 + 574992/5 - 601128/5*p.
2*(p - 66)**3*(p - 1)/5
Determine l, given that 0*l + 0 + 4/3*l**2 - 4/3*l**4 - 94/3*l**3 + 94/3*l**5 = 0.
-1, 0, 2/47, 1
Let d(t) = -3*t**2 + t. Let l(n) = 11*n**2 + 192*n. Let f(k) = -4*d(k) - l(k). Solve f(m) = 0 for m.
0, 196
Let s be ((-51)/(-18) - 0) + 6/36. Factor -39*x - 29*x + 1179*x**s - 1159*x**3 - 4*x**4 + 40 + 12*x**2.
-4*(x - 5)*(x - 1)**2*(x + 2)
Suppose 4*d + 638 = -p - p, -4*p - 5*d - 1285 = 0. Let u = p + 1951/6. Find i such that 0*i**2 + 1/6*i**4 + 0 + u*i**3 + 0*i = 0.
-1, 0
Solve 15*g**4 - 24 + 12*g**3 + 12*g**4 - 153*g**2 - 12*g**4 + 58*g + 92*g = 0.
-4, 1/5, 1, 2
Let a(v) = -6*v**2 + 2 + v + 4*v**2 + 4*v**2. Let z(x) = 65*x**2 - 40*x + 60. Let q(p) = -30*a(p) + z(p). Factor q(b).
5*b*(b - 14)
Let o(m) be the second derivative of -m**7/882 - m**6/630 + 8*m**5/105 + m**4/12 - 89*m**2/2 - 40*m + 2. Let f(t) be the third derivative of o(t). Factor f(h).
-4*(h + 2)*(5*h - 8)/7
Let l(d) be the second derivative of d**7/147 + 2*d**6/105 - d**5/14 - 5*d**4/21 + 4*d**3/21 + 8*d**2/7 + 141*d - 8. Let l(v) = 0. Calculate v.
-2, -1, 1, 2
Let g(b) = 2*b**3 + 19*b**2 + 11*b - 66. Let s be g(-8). Suppose 17 = -7*v + s. Find u, given that 1/6*u**v + 1/3*u**2 - 1/3 - 1/6*u = 0.
-2, -1, 1
Suppose 4*n - 15*n = -66. Let j be 3*(-6)/27*n/(-2). Let 9*g**j + 5*g + 3*g**3 + 4 - 4 + g = 0. What is g?
-2, -1, 0
Let c(s) = -3*s**4 + 53*s**3 + s**2 - 53*s + 10. Let m(b) = -10*b**4 + 160*b**3 + 3*b**2 - 160*b + 35. Let d(t) = -7*c(t) + 2*m(t). Factor d(o).
o*(o - 51)*(o - 1)*(o + 1)
Let k(s) be the third deri