 89*m**5/20 + 11*m**4/4 + 190*m**2 + 3*m. Find t, given that b(t) = 0.
-22, -1/4, 0
Let w(v) be the first derivative of -2*v**6/3 - 136*v**5/5 + 38*v**4 + 416*v**3/3 - 74*v**2 - 280*v + 1492. Solve w(j) = 0 for j.
-35, -1, 1, 2
Let k(u) be the second derivative of 3/8*u**4 - 5/4*u**3 - 3*u - 1/20*u**6 + 10 + 3/40*u**5 + 3/2*u**2. Factor k(q).
-3*(q - 1)**3*(q + 2)/2
Let q(v) = 2*v**3 - 3*v**3 + 2*v - 5*v**2 - 10 - 5*v + 4*v. Let g be q(-6). Factor g*i - 9 + 3*i - 20*i - 3*i**3 + 9*i**2.
-3*(i - 3)*(i - 1)*(i + 1)
Let d(x) = -x**2 + 21*x + 26. Suppose -37 = -u + 5*t, 6 = -u + 4*t + 40. Let y be d(u). Factor -7/4*n**3 - 11/4*n + 1/2 + y*n**2.
-(n - 1)**2*(7*n - 2)/4
Let x = 456 + -444. Let o be (-7)/52 - (-9)/x. Factor -2/13*a**2 - o*a - 6/13.
-2*(a + 1)*(a + 3)/13
What is w in 0*w**2 + 1/5*w**5 + 166464/5*w**3 + 0*w + 816/5*w**4 + 0 = 0?
-408, 0
Let r(g) = g**3 - g**2 + 4*g + 2. Let w(d) = -5*d**3 + 38*d**2 + 148*d - 492. Let y(t) = 6*r(t) + w(t). Suppose y(a) = 0. Calculate a.
-24, -10, 2
Let j(f) = -f + 2. Let r be j(6). Let w be (3 + r)/((-2)/22). Factor -30*s**2 + 7 + w*s + 10 + 9*s + 23 - 5*s**4 - 25*s**3.
-5*(s - 1)*(s + 2)**3
Solve -916/21*d + 1840/21 - 2/21*d**2 = 0 for d.
-460, 2
Let d(y) be the third derivative of 0 + 0*y**4 + 1/6*y**5 + 0*y**3 - 24*y**2 - 1/120*y**6 + 0*y. Factor d(i).
-i**2*(i - 10)
Suppose 10*p - 11*p = -4*j + 20, 0 = p + 4. Let b(o) = -3936*o**2 + 600*o + 60. Let v(q) = -787*q**2 + 120*q + 12. Let r(g) = j*b(g) - 21*v(g). Factor r(m).
3*(9*m - 2)*(29*m + 2)
Let q(z) be the first derivative of 5*z**3/3 - 1000*z**2 + 200000*z + 2121. Let q(p) = 0. Calculate p.
200
Let v = 266/13 + -4866/65. Let z = -268/5 - v. Factor 6/5*j - z*j**2 + 4/5.
-2*(j - 2)*(2*j + 1)/5
Let s(p) = -8*p - 35. Let o be s(-5). Find v, given that -14*v**2 + 15*v**4 + 5*v**5 - 1397*v + o*v**3 - v**2 + 1387*v = 0.
-2, -1, 0, 1
Let r(w) be the third derivative of -8/3*w**3 - 11/20*w**5 + 0 + 66*w**2 + 3*w**4 + 0*w + 1/30*w**6. Suppose r(t) = 0. Calculate t.
1/4, 4
Suppose -7685*p + 21 = -7690*p + 3*n, 0 = -4*p - 4*n + 60. Factor 112/3*m**p - 20*m**2 + 13/3*m - 1/3 - 64/3*m**4.
-(m - 1)*(4*m - 1)**3/3
Let z(v) = -v**2 - 24*v + 63. Let i be z(-27). Let d be i/(-21)*(-920)/(-60). Let 2/7*f**5 + 22/7*f**4 + 54/7 + d*f**3 + 162/7*f + 180/7*f**2 = 0. Calculate f.
-3, -1
Let v(g) = -g**3 - g**2 + 67*g + 325. Let i be v(-5). Let p(m) be the second derivative of -5/12*m**4 + 0 - i*m**2 - 26*m - 10*m**3. Let p(z) = 0. Calculate z.
-6
Suppose -38*a + 19 + 44 = -13. Let r(x) be the first derivative of -14 - 9/4*x**4 - 2/3*x**3 + 0*x - 5/6*x**6 - 12/5*x**5 + 0*x**a. Factor r(u).
-u**2*(u + 1)**2*(5*u + 2)
Suppose 0 - 3 = -z, -y - 20 = -4*z. Let j be 3/(4 + 26/y). Factor -15*q**3 + 11*q**4 - 4*q - 45*q**3 - 47*q**j - 28*q**2.
-4*q*(q + 1)*(3*q + 1)**2
Let n(o) = -5*o**4 - 11*o**3 + 2*o**2 - 4*o - 4. Let l(u) = 6*u**4 + 11*u**3 - 5*u**2 + 5*u + 5. Let j(d) = -4*l(d) - 5*n(d). Factor j(s).
s**2*(s + 1)*(s + 10)
Let d = 2/29 - -28/435. Let a be ((-84)/(-56) + 1 + (-10)/4)/(-1). Determine z, given that 0*z**2 + a*z + 0 + d*z**3 - 2/15*z**4 = 0.
0, 1
Let c(s) = 15*s**3 - 165*s**2 - 1020*s - 1960. Let r(l) = -l**3 - 3*l - 2. Let k(a) = -c(a) - 20*r(a). Factor k(m).
5*(m + 4)**2*(m + 25)
Let h(r) be the second derivative of 1/75*r**6 + 0*r**2 + 11/30*r**4 - 2*r + 6/25*r**5 - 125 + 0*r**3. Let h(j) = 0. What is j?
-11, -1, 0
Let n(v) = v**2 + 2. Let f(y) = -2*y**3 + 13*y**2 - 8*y + 13. Let q be f(6). Let t(l) = -6*l**2 + 10*l + 14. Let s(a) = q*t(a) + 5*n(a). Factor s(b).
-(b - 12)*(b + 2)
Let r be 110/8*30156/7898. Factor 25/4*d**3 + 0 + 20*d + r*d**2.
5*d*(d + 8)*(5*d + 2)/4
Let i(f) be the second derivative of f**6/240 + 11*f**5/120 + 5*f**4/6 + 4*f**3 - 51*f**2/2 - 3*f - 17. Let j(r) be the first derivative of i(r). Factor j(w).
(w + 3)*(w + 4)**2/2
Let g be 11/((-33)/12) + 8. Factor 6*y**2 - 10*y**2 + g*y - 2*y**2 - 6 + 8*y**2.
2*(y - 1)*(y + 3)
Let a(o) be the first derivative of 2*o**5/45 + o**4/3 - 32*o**2/9 - 426. Find s such that a(s) = 0.
-4, 0, 2
Let c be 2 + 0 + 1 + 2. Let p be 1892/(-396)*(1 - -2) - (-12 + -3). Factor -1/3*h**c + 8/3*h**2 + 2/3*h**3 + 7/3*h - p*h**4 + 2/3.
-(h - 2)*(h + 1)**4/3
Let q(d) = -2*d**2 - 389*d - 2206. Let o(n) = n**2 + 194*n + 1104. Let l(v) = 7*o(v) + 3*q(v). What is i in l(i) = 0?
-185, -6
Let w(i) be the third derivative of -i**6/360 + 53*i**5/180 - i**2 + 2*i + 1889. Factor w(l).
-l**2*(l - 53)/3
Suppose 2*d - 6 = 0, -5*m - 4*d + 16 = -16. Let b(j) be the third derivative of -11*j**2 + 1/240*j**5 + 0 - 1/6*j**3 + 0*j**m + 0*j. Factor b(q).
(q - 2)*(q + 2)/4
Let i(l) be the first derivative of -l**3/3 - 512*l**2/3 - 262144*l/9 + 5050. Factor i(q).
-(3*q + 512)**2/9
Let a(j) be the first derivative of -2*j**5/25 - 8*j**4 - 154*j**3/5 + 2802. Factor a(n).
-2*n**2*(n + 3)*(n + 77)/5
Let y be 1/(4/2*-2 + 3). Let a = y + 3. Solve -9*i**3 - 5*i**3 + 0*i**3 - a*i**4 - 8*i**2 + 6*i**3 = 0 for i.
-2, 0
Let u(k) be the second derivative of k**6/15 + 5*k**5/2 + 4*k**4 - 2*k + 74. Let u(w) = 0. Calculate w.
-24, -1, 0
Let k be ((-24742)/(-1390))/(80/3 + -1). Let m = 9/55 + k. Factor -24/7 - 40/7*f - m*f**2.
-2*(f + 6)*(3*f + 2)/7
Let o(w) be the first derivative of w**4/16 + 17*w**3/12 + 7*w**2 + 13*w - 248. Factor o(c).
(c + 2)**2*(c + 13)/4
Let n(b) be the third derivative of -b**8/96 - 1303*b**7/1680 - 199*b**6/60 - 2659*b**5/480 - 419*b**4/96 - 11*b**3/6 - 1536*b**2. What is w in n(w) = 0?
-44, -1, -2/7, -1/4
Suppose 98*b + 144 = 106*b. Solve 5*p - 6*p**4 - 78*p**5 + 2*p**2 + 3*p**4 - 10 + b*p**2 + 83*p**5 - 7*p**4 - 10*p**3 = 0.
-1, 1, 2
Determine r so that -10 - 7 + 3*r - 9 + 3*r**2 + 20 = 0.
-2, 1
Let g(z) be the first derivative of -5*z**4/4 + 1775*z**3/3 - 76500*z**2 - 810000*z + 6477. Suppose g(y) = 0. Calculate y.
-5, 180
Suppose -320*o = -490*o + 2465*o - 6885. Factor -106*u - 23/2*u**o - 68 - 1/2*u**4 - 57*u**2.
-(u + 2)**3*(u + 17)/2
Let d(i) = -4*i**3 + 104*i**2 - 383*i + 256. Let q(l) = 2*l**3 + 6*l**2 + l. Let n(s) = 2*d(s) + 6*q(s). Let n(m) = 0. Calculate m.
-64, 1, 2
Factor -3*a**2 + a**2 + 4855*a - a**2 - 389127 + 384277 - 2*a**2.
-5*(a - 970)*(a - 1)
Let w(x) be the second derivative of -x**4/12 - 35*x**3/6 - 150*x**2 + 84*x + 2. Factor w(n).
-(n + 15)*(n + 20)
Let s(n) be the third derivative of -41/12*n**4 + 3 + 1/60*n**5 + 65*n**2 + 0*n + 1681/6*n**3. Let s(o) = 0. What is o?
41
Find x such that 1/6*x**5 + 13/6*x**3 + 2/3*x + 2*x**2 + 0 + x**4 = 0.
-2, -1, 0
Suppose 0 = -2*b + 3*b + 2*i, b = -4*i - 2. Suppose 3*z - 72 = -6*z. Factor -z - 3*f + 6*f**2 + f**4 - b*f + 5*f**3 + f.
(f - 1)*(f + 2)**3
Let x(l) be the first derivative of -161 + 0*l - 27/16*l**2 + 1/24*l**3. Solve x(m) = 0 for m.
0, 27
Let m = -6895 - -34477/5. Let h(n) be the second derivative of -23*n + 0 + m*n**5 + 1/15*n**6 + 2/3*n**3 + 0*n**2 + 5/6*n**4. Factor h(s).
2*s*(s + 1)**2*(s + 2)
Suppose -4*f = -70*i + 65*i - 68, 17 = f. Let -4*u**4 - 2*u**2 + 3/5*u**5 + i - 8/5*u + 7*u**3 = 0. What is u?
-1/3, 0, 1, 2, 4
Suppose -8*v + 938 = 842. Let g(d) = -43*d + 516. Let w be g(v). Factor 5/3*x**3 + 1/3*x**5 + 7/3*x**4 - 7/3*x**2 + w - 2*x.
x*(x - 1)*(x + 1)**2*(x + 6)/3
Let m(y) be the second derivative of 55*y + 15*y**2 + 0 - 1/12*y**4 + 29/6*y**3. Factor m(w).
-(w - 30)*(w + 1)
Let g be (-4 + (2156/(-224) + 9/(-24) - -17))/1. What is h in 2/7*h**2 - 2/7*h**5 + 0 + 2/7*h**g + 0*h - 2/7*h**4 = 0?
-1, 0, 1
Let l be ((-159690)/(-9555))/((-410)/(-14)). Let y = l - -2/2665. Determine s, given that -y + 2/7*s + 8/7*s**2 - 4/7*s**4 + 2/7*s**5 - 4/7*s**3 = 0.
-1, 1, 2
Let v be (-109)/11 + (3 - (-112)/14)*1. Find d, given that v*d**2 - 6/11*d - 20/11 - 2/11*d**3 = 0.
-1, 2, 5
Suppose 3*a - 3*l - 14 - 13 = 0, l + 14 = 2*a. Let 6*d**4 + 6522*d**3 - 5*d**2 - 5*d**a - d**4 - 6517*d**3 = 0. Calculate d.
-1, 0, 1
Let s be -14*363/(-2079) + (118/18 - 6). Determine j, given that 2/21*j**5 + 136/21*j + 16/7 + 20/21*j**4 + 26/7*j**s + 148/21*j**2 = 0.
-3, -2, -1
Suppose -4*t - 3*f + 6 = 2, 0 = 2*t + 3*f + 4. Factor -260*q + 36*q**t - 55*q**3 + 3*q**2 - 41*q**4 - 193*q**2 - 120.
-5*(q + 1)*(q + 2)**2*(q + 6)
Let h(i) = i. Let u = 0 + 2. Suppose 4*d = u*d - 6. Let a(q) = -q**3 - 4*q**2 - 13*q - 2. Let n(m) = d*a(m) - 24*h(m). Factor n(o).
3*(o + 1)**2*(o + 2)
Let c 