4 - n**5/4 - 245*n**4/24 - 75*n**3/2 + 421*n**2 - 2*n. Factor k(h).
5*(h - 9)*(h + 1)*(h + 5)
Suppose -160993*m - 378 = -161035*m. What is v in -m*v - 33/4 - 3/4*v**2 = 0?
-11, -1
Suppose 6*m = -0*m + 3*m + 27 - 12. Factor 0 - 4/7*t**m - 2704/7*t - 1108/7*t**3 + 3120/7*t**2 + 120/7*t**4.
-4*t*(t - 13)**2*(t - 2)**2/7
Let v(d) be the third derivative of -d**6/30 + 8*d**5/3 + 83*d**4/6 + 28*d**3 + 10252*d**2. Factor v(b).
-4*(b - 42)*(b + 1)**2
Let s = 960 + -935. Suppose -s*c = -8*c + 3*c. Solve c*a + 0 + 3/2*a**5 + 3/2*a**4 + 0*a**2 - 3*a**3 = 0 for a.
-2, 0, 1
Factor 2/11*l**2 + 28/11*l + 48/11.
2*(l + 2)*(l + 12)/11
Let x(z) be the first derivative of -4*z**5/5 - 11*z**4 - 176*z**3/3 - 152*z**2 - 192*z - 4529. Factor x(s).
-4*(s + 2)**2*(s + 3)*(s + 4)
Let u(t) = 3. Let b(g) = 8*g**2 + 1570*g - 1176. Let z(h) = b(h) - 2*u(h). Suppose z(x) = 0. What is x?
-197, 3/4
Let x(z) = z**3 + 5*z**2 + 25*z + 5. Let j be x(0). Let w(k) be the second derivative of 0 + 29*k + 1/4*k**j - 5/6*k**3 + 5/4*k**4 - 15/2*k**2. Factor w(t).
5*(t - 1)*(t + 1)*(t + 3)
Suppose 10 = 18*t - 26. Let l(h) = -h + 5*h - 5*h - h**t. Let u(c) = -9*c**2 - 154*c - 100. Let m(y) = -6*l(y) - u(y). Factor m(x).
5*(x + 10)*(3*x + 2)
Let f = -8195 + 8195. Suppose 3*q = -0*x + 5*x, 0 = 3*q - 4*x. Factor -8/3*k**4 + f - 4/3*k + q*k**2 + 4*k**3.
-4*k*(k - 1)**2*(2*k + 1)/3
Suppose 205 = 3*y - 4*t, 350 = 4*y + y - 5*t. Suppose -16*o + o + y = 0. Factor 4/5*j**4 - 2/5*j + 0*j**3 + 2/5*j**o + 0 - 4/5*j**2.
2*j*(j - 1)*(j + 1)**3/5
Suppose 0*v = 2*w - 2*v - 44, -20 = -4*v. Let n = -23 + w. Solve -2*s**n - s**4 - 8*s**3 + s**4 - 6*s**2 = 0.
-3, -1, 0
Let f(o) be the second derivative of -17*o**6/30 - 67*o**5/10 + 113*o**4/4 - 104*o**3/3 + 10*o**2 - 959*o. Suppose f(w) = 0. Calculate w.
-10, 2/17, 1
Suppose -3 + 5 = b. Let s(p) = 2*p**3 - 57*p**2 + 29*p - 24. Let g be s(28). Factor g*w**2 - 27*w - 3*w**b - 4*w**2 - 24.
-3*(w + 1)*(w + 8)
Factor 2/7*c**2 + 214/7*c + 212/7.
2*(c + 1)*(c + 106)/7
Determine k so that 17936*k + 144*k**4 - 4306 + 2413*k**3 + 7412 + 7002 - 349*k**3 + 9748*k**2 = 0.
-7, -19/6, -1
Let a(m) = m**2 - 5*m - 6. Let u be a(6). Suppose -3*d + 4*x = -32, 40 = 670*x - 675*x. Factor u - 1/8*p**3 + d*p**2 + 1/8*p.
-p*(p - 1)*(p + 1)/8
Let b(a) be the third derivative of a**7/1050 - 23*a**6/600 - a**5/300 + 23*a**4/120 - 4*a**2 + 92. Let b(c) = 0. What is c?
-1, 0, 1, 23
Solve 42*q + 184 + q - 1386*q**2 - 404*q - 174 = 0 for q.
-2/7, 5/198
Let z = 6989 + -6987. Let b(v) be the first derivative of 6*v - 18 + 2/9*v**3 - 2*v**z. Factor b(l).
2*(l - 3)**2/3
Let l(o) be the first derivative of -o**3/9 - 11*o**2/3 - 39*o + 3445. Factor l(s).
-(s + 9)*(s + 13)/3
Let y(a) be the third derivative of a**7/1260 - a**6/120 - 16*a**5/45 - 10*a**4/3 - 128*a**3/9 - 228*a**2 - 5. Let y(o) = 0. Calculate o.
-4, -2, 16
Let c(k) = k**3 - 29*k**2 + 153*k + 19. Let w be c(22). Let x be w/2 - -7*33/77. Factor -8*f**2 + 3 + 13/2*f - x*f**3.
-(f - 1)*(f + 6)*(3*f + 1)/2
Suppose 0 = -c + 5*y + 29, 3*c + 3*y + 3 = 2*c. Let n be 2 - 4/(-6)*c/6. Factor -8*i**2 - 13*i**2 + 9*i - n*i**4 + 0*i**4 + 0*i**2 + 15*i**3.
-3*i*(i - 3)*(i - 1)**2
Let v(h) be the first derivative of -h**9/16632 - h**8/1848 - h**7/1155 + 2*h**3/3 + 13*h**2 + 20. Let u(r) be the third derivative of v(r). Factor u(z).
-2*z**3*(z + 1)*(z + 4)/11
Let h be ((-2)/28)/(23 + -22 + 45/(-40)). Factor 0 + h*p**4 - 52/7*p**2 + 4*p + 20/7*p**3.
4*p*(p - 1)**2*(p + 7)/7
Let g(v) be the second derivative of 4*v**5/75 + v**4/3 + 5*v**3/6 - 17*v**2 - 17*v. Let j(q) be the first derivative of g(q). Let j(f) = 0. Calculate f.
-5/4
Let a = -395459/90 + 4394. Let n(m) be the second derivative of 1/9*m**3 + a*m**6 + 14*m - 1/30*m**5 + 0*m**4 - 1/6*m**2 + 0. Factor n(t).
(t - 1)**3*(t + 1)/3
Let o(f) be the third derivative of f**6/120 + 97*f**5/30 - 391*f**4/24 + 98*f**3/3 - 169*f**2. Factor o(a).
(a - 1)**2*(a + 196)
Let o(s) = -s**2 - 3. Let d(q) = -5*q**2 + 188*q + 501. Let y(r) = d(r) - 9*o(r). Factor y(i).
4*(i + 3)*(i + 44)
Factor 2/17*a**3 - 24/17*a**2 + 360/17 - 338/17*a.
2*(a - 20)*(a - 1)*(a + 9)/17
Let p(l) be the first derivative of -l**6/15 - 2*l**5/5 + 7*l**4/6 + 10*l**3/3 + 77*l + 86. Let w(k) be the first derivative of p(k). Factor w(v).
-2*v*(v - 2)*(v + 1)*(v + 5)
Let q(v) be the first derivative of -1/90*v**5 - 1/18*v**4 + 21*v + 0*v**3 + 4/9*v**2 + 13. Let u(w) be the first derivative of q(w). Factor u(o).
-2*(o - 1)*(o + 2)**2/9
Let v(g) = 2 - g - 3 + 2. Let u be v(-1). Factor 13 + 9*j**2 - 14*j**u + 10*j + 2.
-5*(j - 3)*(j + 1)
Factor 82/5 - 84/5*c + 2/5*c**2.
2*(c - 41)*(c - 1)/5
Determine w, given that 216 + 2/7*w**2 - 386/7*w = 0.
4, 189
Let v be (((-896)/(-288))/((-50)/(-45)))/2. Find f, given that 49/10*f + 0 + 1/10*f**3 + v*f**2 = 0.
-7, 0
Let b(t) = t**3 + 11*t**2 - t - 1. Let g(s) = 2*s**3 - 182*s**2 - 226*s + 1458. Let f(m) = -6*b(m) + g(m). Factor f(d).
-4*(d - 2)*(d + 3)*(d + 61)
Suppose -3*b**4 - 48*b + 40*b**3 + 52*b**2 - 28*b**3 + 36 - 49*b**2 = 0. What is b?
-2, 1, 2, 3
Suppose 3*v - 4*z + 8 + 1 = 0, 5*z = 5*v + 15. Let j be (-3)/(-6*v/(-24)). Let 5*m - 5*m + 4*m - 24*m**2 + 114*m**j + 14*m**4 = 0. Calculate m.
-1/2, 0, 1/4
Let g be 35/(-10)*2 + 10. Suppose -12*n - 30 - 5*n**g + 0*n**2 - 25*n**2 - 43*n - 5*n**2 = 0. What is n?
-3, -2, -1
Let n be (2/(-2))/(-1 + 29 + -31). Let v(k) be the first derivative of 1/4*k**4 + n*k**3 - 1/2*k**2 - k - 10. Let v(w) = 0. What is w?
-1, 1
Let h(f) be the second derivative of f**4/3 - 358*f**3/3 - 724*f**2 - 165*f. Let h(k) = 0. Calculate k.
-2, 181
Let t(u) be the first derivative of 3*u**4/2 - 723*u**3 + 2697*u**2 - 3231*u + 8197. Factor t(m).
3*(m - 359)*(m - 1)*(2*m - 3)
Let u(y) be the first derivative of -3*y**4/4 + 168*y**3 + 2055*y**2/2 + 1548*y + 15306. Suppose u(c) = 0. What is c?
-3, -1, 172
Let q(g) be the first derivative of 2*g**3/21 + 384*g**2/7 + 766*g/7 - 3128. Factor q(m).
2*(m + 1)*(m + 383)/7
Let z(d) be the first derivative of 38*d**3/3 - 178*d**2 - 240*d + 5811. Suppose z(s) = 0. Calculate s.
-12/19, 10
Suppose 5*w = -4*h + 66, -3*w - 37*h + 319 = -205. Find f such that 6/7 + 2/21*f**w - 4/7*f = 0.
3
Let p(u) be the second derivative of u**6/2 - 21*u**5/20 - 5*u**4/4 + 7*u**3/2 + 5181*u. Factor p(v).
3*v*(v - 1)*(v + 1)*(5*v - 7)
Let d(o) = -4*o**2 - 266*o - 516. Let h(f) = -f**2 + f + 6. Let x(c) = -d(c) + h(c). Factor x(q).
3*(q + 2)*(q + 87)
Let l = 19468 - 19465. Let r(a) be the third derivative of -21*a**2 + 0 + 1/210*a**7 + 0*a + 5/24*a**4 - 1/120*a**6 - 1/3*a**l - 1/20*a**5. Factor r(z).
(z - 1)**3*(z + 2)
Let f(n) be the third derivative of -3/25*n**5 + 0*n + 0 - 281*n**2 + 9/200*n**6 - 11/40*n**4 - 1/5*n**3. Let f(x) = 0. Calculate x.
-1/3, 2
Factor 9*q**2 + 57/5*q + 18/5 + 6/5*q**3.
3*(q + 1)*(q + 6)*(2*q + 1)/5
Let r be 104 - 104 - (1 - 3). Let q(h) be the first derivative of -8*h - 2*h**3 + 13 + 1/4*h**4 + 6*h**r. Factor q(c).
(c - 2)**3
Factor -57 + 81 + 14 + 12*j**2 + 19*j**2 + j**3 - 5 - 65*j.
(j - 1)**2*(j + 33)
Let s(y) be the third derivative of -y**8/336 + y**7/7 - 23*y**6/8 + 95*y**5/3 - 210*y**4 + 864*y**3 + 4037*y**2. Let s(r) = 0. Calculate r.
4, 9
Let y(k) be the third derivative of -k**7/70 - 29*k**6/20 - 47*k**5 - 1323*k**4/4 + 3645*k**3/2 + 365*k**2 + 4. Solve y(b) = 0.
-27, -5, 1
Let b(c) be the third derivative of c**6/4 + 203*c**5/12 + c**2 + 15. Let k(l) = 5*l**3 + 169*l**2. Let f(z) = 6*b(z) - 35*k(z). Find t, given that f(t) = 0.
-35, 0
Let v(s) be the second derivative of -s**5/30 + 119*s**4/18 + 488*s**3/9 + 164*s**2 + 1072*s. Factor v(t).
-2*(t - 123)*(t + 2)**2/3
Suppose 4*c - 4*z = -6 - 6, -5*c - 5*z = -15. Let l = -705/1732 - -501/433. Factor 1/4*s**3 - l*s**2 + c*s + 0.
s**2*(s - 3)/4
Let -32*v**4 + 24*v**3 + 17*v**4 - 360*v**2 + 396*v**2 - 3*v**5 = 0. What is v?
-6, -1, 0, 2
Let y be (-56560)/(-103020) - (-2)/17. Suppose -4 + 10/3*a - y*a**2 = 0. What is a?
2, 3
Suppose -3*o + 25 = 2*p, -5*p + 33 = 3*o + 2. Factor 14/5 - 1/5*a**p - 13/5*a.
-(a - 1)*(a + 14)/5
Let o(a) be the third derivative of 5*a**8/336 - a**7/14 - 7*a**6/24 + 11*a**5/12 + 5*a**4/4 - 20*a**3/3 - 293*a**2 - 3. Solve o(p) = 0.
-2, -1, 1, 4
Let j(i) be the first derivative of -20*i**3/3 - 12815*i**2/2 + 3205*i - 6962. Factor j(d).
-5*(d + 641)*(4*d 