Let u = 84 - p. Solve 47/7*y**2 - 16/7*y**u + 5/7 - 72/7*y**3 + 36/7*y = 0.
-5, -1/4, 1
Let i(t) be the third derivative of t**7/1365 - 7*t**6/780 + 11*t**5/390 + 7*t**4/156 - 4*t**3/13 + 6*t**2 + 4. Let i(r) = 0. Calculate r.
-1, 1, 3, 4
Let w(h) be the second derivative of -h**4/28 + 15*h**3/14 - 66*h**2/7 - 25*h + 1. Let w(o) = 0. What is o?
4, 11
Let c(o) be the second derivative of o**6/150 - 13*o**5/100 + o**4/5 - 730*o. Factor c(p).
p**2*(p - 12)*(p - 1)/5
Let v be 35*(-76)/(-6650)*3/((-3)/(-46)). Factor 0 + 12/5*f**3 + 56/5*f - v*f**2.
4*f*(f - 7)*(3*f - 2)/5
Let -832/3 + 68*v**4 + 422/3*v**3 - 2/3*v**5 - 608/3*v**2 - 552*v = 0. What is v?
-2, -1, 2, 104
Find q, given that 104/9*q**2 + 4/9*q**3 - 400/9*q - 2/9*q**4 + 128/3 = 0.
-8, 2, 6
Let l(s) be the second derivative of s**6/10 + 159*s**5/20 + 237*s**4 + 3008*s**3 + 7680*s**2 + 2*s - 418. Let l(v) = 0. What is v?
-20, -16, -1
Let h be 4/(-8)*6 - (-7)/1. Suppose 6*s**h + 5*s + 7*s + 8*s**3 - 2*s**2 - 16*s = 0. What is s?
-1, 0, 2/3
Let s(b) = -28*b + 5. Let x be s(-4). Let y = -112 + x. Find k such that y + 5*k - 5*k**3 + 15*k**2 - 15 + 209*k**4 - 214*k**4 = 0.
-2, -1, 1
Find x, given that -122*x**2 + 472*x**3 - 60*x**2 - 505*x + 158 - 147*x + 6*x**4 + 18*x**2 + 180*x = 0.
-79, -1, 1/3, 1
Let -312/5 + 74/5*u + 1/5*u**2 = 0. Calculate u.
-78, 4
Suppose -76*q + 141 = -29*q. Let p(c) be the first derivative of 2/15*c**q - 4/5*c**2 - 8/5*c + 1/10*c**4 - 7. Determine i so that p(i) = 0.
-2, -1, 2
Let p(d) be the first derivative of -75 + 50*d - 5/3*d**3 - 45/2*d**2. Suppose p(q) = 0. Calculate q.
-10, 1
Find a, given that -536*a + 2*a**2 - 121252 + 120720 - 6*a**2 = 0.
-133, -1
Find s such that 3*s**4 + 0*s**3 - 378*s - 3*s**2 + 216 + 204*s**2 - 29*s**3 - 14*s**3 + s**3 = 0.
1, 3, 4, 6
Let m(w) = -8*w**3 + 11*w**2 - 13*w + 13. Let x(i) = -26*i**3 + 34*i**2 - 40*i + 42. Let s(k) = 20*m(k) - 6*x(k). Factor s(b).
-4*(b - 2)*(b - 1)**2
Find h, given that -22 + 64 - 4*h**2 - 56*h + 14 + 72 = 0.
-16, 2
Suppose -111*x = 125*x - 32*x - 1224. Let z(o) be the first derivative of o**2 + 15 + 1/3*o**x - o**4 + 0*o + 0*o**5 + 0*o**3. Let z(v) = 0. Calculate v.
-1, 0, 1
Let u(m) = -2*m**2 + 8*m. Let a(c) = 9*c**2 + 198*c - 243. Let v(p) = a(p) + 6*u(p). Find s such that v(s) = 0.
1, 81
Let q(p) be the third derivative of p**6/24 + p**5/3 - 205*p**4/24 + 30*p**3 - 703*p**2. Factor q(c).
5*(c - 4)*(c - 1)*(c + 9)
Let a(i) = 621*i + 1865. Let z be a(-3). Let l(t) be the second derivative of 0 - 12*t**z - 1/3*t**4 - 4*t + 10/3*t**3. Factor l(x).
-4*(x - 3)*(x - 2)
Suppose 5*t - 3 = -3*g, -2*t = -g + 3*g - 2. Let w be 612/(-60) - 88/(-8). Determine h so that 8/5*h - w*h**3 + t + 4/5*h**2 = 0.
-1, 0, 2
Let 6*j**3 + 2/3*j**4 + 16/3*j**2 - 96 - 56*j = 0. Calculate j.
-6, -4, -2, 3
Let o(c) be the third derivative of -c**5/30 + 49*c**4/12 - 86*c**3 - 83*c**2 - c. Factor o(v).
-2*(v - 43)*(v - 6)
Let t(w) be the second derivative of -w**9/22680 - w**8/1680 - w**7/420 - w**6/270 - 9*w**4/4 - 3*w - 36. Let l(s) be the third derivative of t(s). Factor l(f).
-2*f*(f + 1)**2*(f + 4)/3
Factor 480*i + 55*i**3 + 2642*i**2 - 260*i**4 - 3012*i**2 + 265*i**4.
5*i*(i - 3)*(i - 2)*(i + 16)
Let y(j) be the second derivative of 2*j**7/21 - 106*j**6/15 + 858*j**5/5 - 2698*j**4/3 - 48374*j**3/3 - 41154*j**2 + 1610*j + 2. Factor y(a).
4*(a - 19)**3*(a + 1)*(a + 3)
Let x(y) be the second derivative of -y**7/105 - 2*y**6/15 - 7*y**5/30 + 3*y**2 - 2*y. Let w(u) be the first derivative of x(u). Factor w(g).
-2*g**2*(g + 1)*(g + 7)
Suppose 0 = -2*k - 443*a + 438*a + 96, 0 = -2*k + 2*a + 40. Let d(l) be the first derivative of 0*l - 2/3*l**2 - 1/12*l**4 + k - 5/9*l**3. Factor d(w).
-w*(w + 1)*(w + 4)/3
Let x(t) be the second derivative of 1 + 29/120*t**6 - 1/42*t**7 + 0*t**3 + 0*t**2 - 7/80*t**5 + 8*t + 0*t**4. Factor x(n).
-n**3*(n - 7)*(4*n - 1)/4
What is w in 320 + 50*w**4 + 111*w**3 + 980*w**2 - 5*w**5 + 294*w**3 + 272*w + 668*w + 10*w**3 = 0?
-2, -1, 16
Let b(l) be the third derivative of -l**5/12 + 5*l**4/8 + 10*l**3/3 - 52*l**2 + 5*l. Determine d so that b(d) = 0.
-1, 4
Let d(u) = 77*u**2 + 13591*u + 3064374. Let a(t) = 5*t**2 + 906*t + 204292. Let f(y) = -93*a(y) + 6*d(y). Determine s, given that f(s) = 0.
-452
Let i(u) be the third derivative of 1/300*u**5 - 3/10*u**3 + 0 + 0*u + 0*u**4 + 26*u**2. Suppose i(t) = 0. Calculate t.
-3, 3
Let u(k) = 18468*k**3 - 5*k**2 + k + 7. Let b be u(2). Let b*j**2 - 35*j**4 - 147733*j**2 - 10*j**3 = 0. Calculate j.
-2/7, 0
Let g(q) be the third derivative of -q**6/2160 + 53*q**5/720 - 13*q**4/36 + 21*q**3 + 70*q**2. Let b(t) be the first derivative of g(t). Factor b(z).
-(z - 52)*(z - 1)/6
Suppose -8*h + 20 = -3*h + 5*g, g + 4 = 3*h. Factor -2 - 35*k**2 + h - 20*k**2 - 16012*k**4 + 30*k + 30*k**3 + 16007*k**4.
-5*k*(k - 3)*(k - 2)*(k - 1)
Factor 29126580*p**3 - 733 - 29126579*p**3 - 313*p**2 + 24648*p - 23603.
(p - 156)**2*(p - 1)
Let l = 411816 - 411816. Find i, given that -15*i**3 + l - 10*i**4 + 20/3*i**2 - 5/3*i**5 + 20*i = 0.
-3, -2, 0, 1
Let r(q) be the first derivative of -q**4 - 168*q**3 - 7680*q**2 + 32768*q + 1093. Factor r(z).
-4*(z - 2)*(z + 64)**2
Let r be 58/18 - (-4)/(-18). Let y be (-25)/5*(12/(-30) + 30/(-175)). Factor 8/7 + 4/7*u**r + 16/7*u**2 + y*u.
4*(u + 1)**2*(u + 2)/7
Suppose 36*m = -4*m + 5800. What is j in m*j + 539*j**4 + 1103*j**4 + 174*j**4 + 119*j**4 + 1355*j**2 + 3135*j**3 - 10 = 0?
-1, -1/3, 2/43
Let n(f) = f**3 + 5*f**2 - 38*f + 42. Let w = -45 + 56. Let l(a) = 2*a**3 + 10*a**2 - 75*a + 83. Let z(h) = w*n(h) - 6*l(h). Suppose z(x) = 0. Calculate x.
-9, 2
Let b = 1959 + -3316. Let y = b + 1361. Factor 0 + y*h**2 + 8/3*h.
4*h*(3*h + 2)/3
Let z(d) = 3*d + 30. Let s be z(-3). What is u in -7*u**3 - 9*u - 6238*u**4 - 8*u**3 + 6235*u**4 - s*u**2 = 0?
-3, -1, 0
Let o(y) = -128*y - 128. Let s be o(-1). Let n(g) be the first derivative of 1/6*g**2 + s*g + 1/18*g**3 + 9. Factor n(a).
a*(a + 2)/6
Let j(u) be the third derivative of 0*u**4 + 0 - 1/48*u**6 + 4*u**2 + 1/8*u**5 + 3*u - 5/3*u**3. Determine t, given that j(t) = 0.
-1, 2
Let m(b) = 25*b**3 - 1195*b**2 + 10509*b + 10122. Let d(u) = -24*u**3 + 1196*u**2 - 10512*u - 10124. Let c(x) = -7*d(x) - 8*m(x). Find p, given that c(p) = 0.
-7/8, 19
Let g be -16*(210/(-112) - 6/(-16)). Suppose -25*l + g*l + 2 = 0. Factor 25 - l*o**2 + 67*o - 87*o - 3*o**2.
-5*(o - 1)*(o + 5)
Let h(m) be the second derivative of m**4/36 - 14*m**3/9 - 31*m**2/2 + 348*m. Suppose h(n) = 0. What is n?
-3, 31
Determine g, given that 42/5 - 8/15*g**4 - 14/5*g**3 + 46/5*g - 22/15*g**2 = 0.
-3, -1, 7/4
Let -37/2*g**3 - 3*g**4 + 17/2*g**2 + 0 + 13*g = 0. What is g?
-13/2, -2/3, 0, 1
Let f = -513378 + 513380. Factor -1/4*n**f - 169 - 13*n.
-(n + 26)**2/4
Let f = 227042 - 1135182/5. Factor f*w + 32/5 - 4/5*w**2.
-4*(w - 8)*(w + 1)/5
Let l be (5 - (-70)/(-15)) + 20/(-6). Let u be ((l*20)/(-1))/(2/2). Factor 40*y + 157*y**2 + 164*y**2 - u - 316*y**2 - 5*y**3.
-5*(y - 2)**2*(y + 3)
Let k(u) = 64*u + 835. Let j be k(-13). Let y(x) be the first derivative of 1/10*x**4 + 11 + 11/5*x**2 - 12/5*x - 4/5*x**j. Factor y(o).
2*(o - 3)*(o - 2)*(o - 1)/5
Suppose l + 42 = -197*f + 200*f, 3*f + 6 = 0. Let d be (-4)/10*(-585)/l + 6. Suppose 23/4*s**2 + 15/4*s**3 + 33/8*s + 9/8*s**4 + d + 1/8*s**5 = 0. What is s?
-3, -1
Let m(u) be the second derivative of u**4/12 + 23*u**3/2 + 79*u**2/2 + 22*u. Let q(a) = 14*a + 16. Let f(l) = -4*m(l) + 22*q(l). Factor f(h).
-4*(h - 9)*(h + 1)
Let i = 102/31 + -417/155. Let b(v) be the first derivative of -i*v + 0*v**3 - 3/5*v**2 + 3/10*v**4 + 3/25*v**5 + 3. Factor b(z).
3*(z - 1)*(z + 1)**3/5
Suppose 2*a + q = 1 + 19, -2*q - 5 = -a. Suppose -3*z + 4 = -4*k, -a*k + 11*k + 2 = 4*z. What is v in 2/7*v**2 + 0*v + 2/7*v**3 + z = 0?
-1, 0
Let n(v) be the third derivative of v**8/1176 + 31*v**7/735 + 111*v**6/140 + 1397*v**5/210 + 121*v**4/6 + 1041*v**2 + 2*v. Solve n(m) = 0 for m.
-11, -7, -2, 0
Suppose -w + 3*r + 21 = 0, -2*w - 2*w + 67 = 5*r. Suppose 0 = w*m - 22*m + 8. Factor 8*p**m + 5*p - 26*p**2 + 13*p**2.
-5*p*(p - 1)
Let t be (13 - (-34 + 52))/(4/(-4)). Let 154/3*p**4 - 64/3*p**3 + 0*p + 8/3*p**2 + 0 - 98/3*p**t = 0. What is p?
0, 2/7, 1
Let m(h) = -45*h**3 + 380*h**2 + 7310*h - 26485. Let g(d) = 2*d**3 + d**2 + 10*d + 1. Let q(