/8 + 10*z - 1914. Factor v(j).
-(j - 5)*(j + 1)*(j + 8)/4
Let k(y) be the first derivative of -y**5/15 - 5*y**4/3 - 16*y**3 - 224*y**2/3 - 512*y/3 + 965. Factor k(w).
-(w + 4)**3*(w + 8)/3
Let s(b) be the first derivative of -2*b**3/15 - 25*b**2/3 + 28*b/5 + 92. Factor s(k).
-2*(k + 42)*(3*k - 1)/15
Factor -252 - 249*m - 60*m**2 + 3/4*m**3.
3*(m - 84)*(m + 2)**2/4
What is i in -2*i**5 + 64*i**3 + 2*i**4 + 8*i**2 + 196*i**2 - 8*i**4 + 226*i + 84 + 6*i**4 = 0?
-3, -2, -1, 7
Find m, given that -23/6*m**2 - 7*m + 0 - 1/6*m**3 = 0.
-21, -2, 0
Let z(r) be the third derivative of 2/15*r**6 - 38*r**2 - 49/72*r**4 + 7/90*r**5 + 0*r**3 - 1/45*r**7 + 1/1008*r**8 + 0 + 0*r. Find a, given that z(a) = 0.
-1, 0, 1, 7
Let s(x) = -8*x**2 + 12*x + 552. Let r(c) = 33*c**2 - 40*c - 2208. Let i(q) = -4*r(q) - 15*s(q). Factor i(y).
-4*(y - 6)*(3*y + 23)
Suppose 0 = -4*g + 157 - 161. Let h(d) = d**5 + d**4. Let f(z) = -2*z**5 - 31*z**4 - 95*z**3 - 50*z**2. Let l(a) = g*h(a) + f(a). Factor l(c).
-c**2*(c + 5)**2*(3*c + 2)
Suppose 1 - 58 = -19*x. Find n, given that 2*n + n**4 + 0 + x + 4*n**3 + 5*n**2 - 3 = 0.
-2, -1, 0
Suppose 5*v + 6 = 21. Suppose 0 = a - 2*o - 10, 3*a + o + 18 = 55. Let a*x**2 + v*x**3 - 76*x + 0*x**3 + 40*x + 48*x = 0. What is x?
-2, 0
Let m(g) = -116*g**2 + 2. Let s be m(1). Let p be 1 + 2 - s/(-57). Factor -1/2*z**2 + p + 1/2*z.
-(z - 2)*(z + 1)/2
Suppose -19*q + 29 = -28. Let o be (-3 + 2)/(2/(-124)). Factor 30*j**3 - o*j**3 + 16*j + 28*j**q.
-4*j*(j - 2)*(j + 2)
Find l such that -126/23*l**2 - 44/23 + 38/23*l**3 + 130/23*l + 2/23*l**4 = 0.
-22, 1
Let i be (-2)/36 + (-637)/(-3822). Let v(d) be the third derivative of 0 + 0*d - 1/54*d**4 - 1/270*d**5 + i*d**3 + 33*d**2. Solve v(z) = 0 for z.
-3, 1
Let i = -404 - -402. Let f be (-13)/((-117)/(-18)) - i. Factor 2/3*t**5 + f*t**2 + 0*t + 0*t**3 + 0 - 2*t**4.
2*t**4*(t - 3)/3
Let v(u) be the third derivative of u**8/2184 - 12*u**7/455 + 67*u**6/390 - 98*u**5/195 + 43*u**4/52 - 32*u**3/39 + 5*u**2 - u. Factor v(z).
2*(z - 32)*(z - 1)**4/13
Suppose 196*n - 982*n + 1490 = -41*n. Solve 0 + 3*y**4 + 0*y - 2/3*y**3 + 0*y**n = 0 for y.
0, 2/9
Factor 2/9*t**3 - 136/9*t**2 - 422/9*t - 284/9.
2*(t - 71)*(t + 1)*(t + 2)/9
Let l(m) be the third derivative of -1/4*m**3 + 0*m + 7/96*m**4 + 0 - 1/120*m**5 + 167*m**2. Factor l(t).
-(t - 2)*(2*t - 3)/4
Let i = 26089/2 - 13042. Factor -11/4*k + 1/4*k**2 + i.
(k - 10)*(k - 1)/4
Suppose 2*w - 13 = -x, -4347*x - 13 = -4*w - 4348*x. Let -22/5*i + 64/5*i**2 + 16/5*i**4 + w - 12*i**3 + 2/5*i**5 = 0. What is i?
-11, 0, 1
Let b(g) be the second derivative of -g**4/12 + 7*g**3/6 + 9*g**2 + 2*g - 188. What is f in b(f) = 0?
-2, 9
Let b(q) = 3*q**3 + 8*q**2 + 2*q. Let k be (-1*(13 - 7))/2. Let x(d) = 2*d**3 + 7*d**2 + 3*d. Let a(n) = k*b(n) + 2*x(n). Factor a(z).
-5*z**2*(z + 2)
Let t be -2*(-3)/35*((-499 - -359) + 154). Solve 36/5*n**5 + 248/5*n**3 - 36*n**4 + t - 88/5*n**2 - 28/5*n = 0.
-1/3, 1/3, 1, 3
Suppose 934*m = 902*m. Let 1/9*t**3 - 2/9*t + m + 1/9*t**2 = 0. What is t?
-2, 0, 1
Suppose 19 = -3*r + 2*k, -2*k + 8 = 3*r + 7. Let t be r/1 + (-52)/(-24)*2. Determine o so that -t*o + 4/3 + 4/3*o**3 - 4/3*o**2 = 0.
-1, 1
Let t be -74 + 56 - (-220)/12. Let p(a) be the first derivative of 2/3*a**6 + 0*a**2 + t*a**3 - a**4 - 5 + 0*a - 1/5*a**5. Let p(r) = 0. Calculate r.
-1, 0, 1/4, 1
Suppose 1914 = -3*x + 4*f + 620, 3*f = -5*x - 2118. Let u = x + 428. Factor -2/7*y**u - 6/7*y - 4/7.
-2*(y + 1)*(y + 2)/7
Suppose -18892 - 235*g + 2*g**2 - g**2 + 127133 - 297*g - 126*g = 0. What is g?
329
Let w(q) = -9*q**2 + 4*q + 16. Let o(z) = -17*z**2 + 7*z + 33. Let u be 12/(-14)*(-84)/18. Let i(p) = u*o(p) - 7*w(p). Factor i(b).
-5*(b - 2)*(b + 2)
Let r = -2475/13364 - -13/257. Let f = 3/26 - r. Factor -1/8*j + 1/8*j**3 + f - 1/4*j**2.
(j - 2)*(j - 1)*(j + 1)/8
Factor 0*t**2 + 2*t**3 - 9*t**2 - 9*t**2 - 36 + 52*t + 2*t**2 - 10*t.
2*(t - 3)**2*(t - 2)
Let u(h) be the second derivative of h**4/12 - 5*h**3/2 - 31*h**2/2 - 23*h. Let r be u(17). What is g in 0*g**r + 3*g**2 - 11*g**2 - 4*g**3 = 0?
-2, 0
Let z(p) be the second derivative of -5*p**7/168 + p**6/12 + 3*p**5/16 - 5*p**4/12 - 5*p**3/6 - 249*p + 11. Determine m so that z(m) = 0.
-1, 0, 2
Let 156/7*y + 0 - 101/7*y**2 - 2/7*y**3 = 0. What is y?
-52, 0, 3/2
Let l(o) = 62*o**3 - 16*o**2 - 70*o. Let d(f) = -72*f**3 + 14*f**2 + 71*f. Let w(q) = -6*d(q) - 7*l(q). Factor w(c).
-2*c*(c - 16)*(c + 2)
Let r be (2 - 5)/(3/(-21)). Suppose -4*n + r + 7 = 0. Solve 21*g**3 - n*g**3 - 40*g**2 + 8*g + 8*g**2 = 0.
0, 2/7, 2
Let h(j) be the second derivative of j**6/24 + 7*j**5/2 + 265*j**4/48 - 275*j**3/12 + 834*j. Factor h(b).
5*b*(b - 1)*(b + 2)*(b + 55)/4
Let a(w) = w**2 + w + 1. Let m(k) = 5 - 676*k**2 + 136*k + 674*k**2 - 4. Let f(b) = a(b) - m(b). Factor f(j).
3*j*(j - 45)
Determine s, given that 4456/9*s + 2174/3*s**2 + 280/3 - 50/9*s**4 + 520/3*s**3 = 0.
-3, -2/5, 35
Let y(k) be the second derivative of k**7/294 + 3*k**6/70 - 11*k**5/140 - 27*k**4/28 + 11*k**3/3 - 36*k**2/7 - 27*k. What is a in y(a) = 0?
-9, -4, 1, 2
Factor -j**2 - 9*j**2 - 84672 - 3*j**2 + 10*j**2 - 1008*j + 0*j**2.
-3*(j + 168)**2
Let x(g) = -g**3 - 45*g**2 - 47*g - 132. Let s be x(-44). Suppose 2*c - 18 + 14 = s. Factor 2/3*n**4 + 0 - 2/3*n + c*n**2 - 2*n**3.
2*n*(n - 1)**3/3
Factor 1537*g - 3067*g - 5*g**2 + 140 + 1545*g.
-5*(g - 7)*(g + 4)
Let k(u) = -2*u**2 + 9494*u + 28503. Let p be k(-3). Find q such that 25/3*q + 5/6*q**4 - 8*q**p + 35/2*q**2 + 0 = 0.
-2/5, 0, 5
Let i(w) = -w**2 - 3*w + 1. Let g(c) = c. Let p(l) = -2*g(l) - i(l). Let y(k) = 4*k**3 - 302*k**2 + 7498*k - 62498. Let t(q) = 2*p(q) + y(q). Factor t(j).
4*(j - 25)**3
Let k(j) be the first derivative of -j**3 - 153*j**2 - 1455*j + 2805. Factor k(i).
-3*(i + 5)*(i + 97)
Suppose 0 = -5*v - 2*w + 353, -4*v + 2*w = 183 - 451. Let l be v/(-7) - (31 + -42). Factor -36/7*n**2 - l - 4/7*n**4 + 20/7*n**3 + 4*n.
-4*(n - 2)*(n - 1)**3/7
Factor 53/3*b**4 + 0 + 56/3*b + 167/3*b**2 + 55*b**3 - 1/3*b**5.
-b*(b - 56)*(b + 1)**3/3
Suppose 221*z - 210*z + 88 = 0. Let l be 20/(-4)*((-128)/(-520))/z. Factor 6/13 - 8/13*r + l*r**2.
2*(r - 3)*(r - 1)/13
Let f(p) be the second derivative of -p - 10/9*p**3 - 7/54*p**4 - 8/9*p**2 - 148. Factor f(y).
-2*(y + 4)*(7*y + 2)/9
Let h(d) be the first derivative of -5*d**3/24 + 3*d**2/16 + 1633. Factor h(m).
-m*(5*m - 3)/8
Suppose 0 = -5*g + 40, -751*g - 16 = 5*o - 753*g. Factor o - 2/3*b - 1/3*b**2.
-b*(b + 2)/3
Solve 4401/5*l**3 + 243/5*l**4 + 816/5 + 7556/5*l + 18444/5*l**2 = 0 for l.
-12, -17/3, -2/9
Let a(d) = -10*d**2 - 188*d - 4232. Let w(f) = -f**2 - f + 34. Let t be w(-6). Let u(b) = 2*b**2 + b. Let m(z) = t*u(z) + a(z). Factor m(g).
-2*(g + 46)**2
Factor m**2 - m**2 + m**2 + 22030 + 88859 - 666*m.
(m - 333)**2
Let z(i) be the first derivative of i**7/5460 + i**6/585 - i**5/780 - i**4/39 + 10*i**3/3 - i**2 + 47. Let b(v) be the third derivative of z(v). Factor b(u).
2*(u - 1)*(u + 1)*(u + 4)/13
Let u = -1385 - -1390. Let g be 16/(-22)*(-3 + u/2). Factor 4/11*s**3 + 4/11*s**4 + 14/11*s - g - 16/11*s**2 - 2/11*s**5.
-2*(s - 1)**4*(s + 2)/11
Let o(p) be the second derivative of p**10/151200 - p**8/11200 + p**7/6300 - 2*p**4/3 - 4*p. Let v(q) be the third derivative of o(q). Factor v(r).
r**2*(r - 1)**2*(r + 2)/5
Let z = -125/261 + 473/261. Let 5/3*c + 1/3*c**3 + 2/3 + z*c**2 = 0. What is c?
-2, -1
Suppose 2*l + 2*y = -2*l - 8, -5*y = 20. Let h = -75 - -77. Factor l*q**3 + 10 - 9 - 3*q**h - 2*q**3.
-(q + 1)**2*(2*q - 1)
What is a in 143770*a**2 - 8*a**3 + 26*a**3 + 2*a**5 - 143814*a**2 + 24*a**4 = 0?
-11, -2, 0, 1
Suppose 3*m + 39 = 16*m. Factor 2*h**m - 32*h + 9*h + 6*h**3 - 15*h - 39*h**2 - 9*h**3.
-h*(h + 1)*(h + 38)
Factor -1593*c**2 - 279*c**3 - 2349*c - 7842 + 7842 - 3*c**4.
-3*c*(c + 3)**2*(c + 87)
Let p = -1302 + 78121/60. Let l(i) be the third derivative of -15*i**2 + 0 - p*i**5 + 0*i**3 + 1/8*i**4 + 0*i. Suppose l(f) = 0. Calculate f.
0, 3
Suppose -4*a = -5*f + 13, 3*a + f - 4 = -9. Let d be 14/a*((-4)/(-7) + -2). Factor 14*q - d - 22/5*q**2 + 2/5*q**3.
2*(q - 5)**2*(q - 1)/5
Let -249/7 - 1/7*t**2 + 250/7*t = 0. What is t?
1, 249
Let a = -151370 - -151372. Let 40/3*g - 8*g**3 + 0 - 4/3*g**4 - 4*g**a = 0. Calculate g.
-5, -2, 0, 1
Let q(b) = 5*b**2 - 8*b + 1083. Let i(k) = 6*