 373*c**3/21 + 4087*c**2. Factor v(n).
-2*(n - 373)*(n - 1)/7
Factor -4614 + 2324 - 2*o**2 - 58*o + 2234.
-2*(o + 1)*(o + 28)
Let p = 2863711/911183 + 1/130169. Suppose 0 - 12/7*u**5 - 22/7*u**2 + p*u**4 - 4/7*u + 16/7*u**3 = 0. What is u?
-1, -1/6, 0, 1, 2
Let k be (-270)/(-75) - 6/(-15). Determine r, given that 2 - r**5 + 28*r**3 + 3*r + 2*r**k - 4*r**2 + r - 36*r**3 + 5*r**5 = 0.
-1, -1/2, 1
Let g(z) be the second derivative of 0*z**2 - 1/180*z**6 + 0*z**4 + 2/3*z**3 - 1/60*z**5 + 7*z + 0. Let x(q) be the second derivative of g(q). Factor x(w).
-2*w*(w + 1)
Determine i, given that -5*i**3 + 32*i - 191*i**2 + 16 + 5*i**3 + 203*i**2 - 8*i**3 - 4*i**4 = 0.
-2, -1, 2
Solve 134/7*u**3 + 2/7*u**4 - 386/7*u**2 + 36*u + 0 - 2/7*u**5 = 0.
-9, 0, 1, 2, 7
Let y(p) be the first derivative of 6*p**3 - 5*p**2 - 8*p - 406. Solve y(r) = 0.
-4/9, 1
Let v(f) = -f**2 - 4*f + 4. Let k be v(-12). Let z = k + 174. Factor -35*x**2 - z*x**3 + 6 - 9*x - 32*x**2 + 7*x**3 + 4*x**2 - 27*x**4.
-3*(x + 1)**3*(9*x - 2)
Let r(j) = 4*j**2 + 5*j - 4. Let n be r(1). Suppose -2*f + n = -14*k + 15*k, 3*k + 1 = 2*f. Factor 2*i**2 + k + 1/2*i**3 + 5/2*i.
(i + 1)**2*(i + 2)/2
Let h(d) = -12*d**4 + 111*d**3 + 497*d**2 + 374*d - 5. Let n(l) = -51*l**4 + 444*l**3 + 1989*l**2 + 1494*l - 21. Let x(k) = 21*h(k) - 5*n(k). Factor x(w).
3*w*(w + 1)*(w + 4)*(w + 32)
Let -6/7*f**2 + 790/7*f - 1300/7 = 0. What is f?
5/3, 130
Let a(t) = -2*t**2 - 2*t - 40. Let r(i) = 11*i**2 - 3675*i + 3928. Let g(k) = 30*a(k) + 5*r(k). Find l, given that g(l) = 0.
-3688, 1
Let a be 2*2 - (-1008)/1440*2*2/(-7). Factor 0*r**2 - 2/5*r**3 + 0 + a*r.
-2*r*(r - 3)*(r + 3)/5
Let i(k) be the first derivative of -2/25*k**5 + 170 + 12/5*k**2 - 2/5*k**4 - 18/5*k + 4/15*k**3. Factor i(l).
-2*(l - 1)**2*(l + 3)**2/5
Let f(b) be the first derivative of -b**3/21 + 485*b**2/7 - 235225*b/7 + 1533. Solve f(u) = 0.
485
Suppose 6*v - 8*v + o + 13 = 0, v - 3*o = 19. Factor -a**v + 31*a**2 + 4*a**3 - 36*a**2 + 0*a**3 - 5*a + 7*a.
-a*(a - 2)*(a - 1)**2
Let h(o) be the second derivative of -32/15*o**5 + 64/9*o**3 - 85/3*o**4 + 64*o - 2/45*o**6 + 0 + 512/3*o**2. Let h(s) = 0. What is s?
-16, -1, 1
Let g(o) be the second derivative of 27/20*o**5 + 8*o**3 + 37/2*o**4 + 0*o**2 - o - 42. Factor g(v).
3*v*(v + 8)*(9*v + 2)
Let q be (7/(56/(-32)))/(8/(-6)). Suppose -p = q*j + 11, 2 = 3*p + 5*j - 3*j. Suppose 15*n - 1 - 337/4*n**2 + 210*n**3 - 196*n**p = 0. Calculate n.
1/4, 2/7
Solve 0 - 550/3*b - 5/3*b**3 + 45*b**2 = 0 for b.
0, 5, 22
Let v = 24 - 17. Suppose -2*l + 3*l - n = v, -33 = -4*l + 3*n. Factor -4*s**3 + l*s**3 - 14*s**3 + 3*s + 3*s**5.
3*s*(s - 1)**2*(s + 1)**2
Factor 18/5 - 3/5*a**2 - 53/5*a.
-(a + 18)*(3*a - 1)/5
Let z(o) be the second derivative of -o**5/120 - 13*o**4/36 - 4*o**3/3 + 4553*o. Factor z(i).
-i*(i + 2)*(i + 24)/6
Let 1/3*a**2 - 125/3*a + 238 = 0. Calculate a.
6, 119
Let l(n) = -2*n**3 + 2*n**2 + 11*n + 3. Let x be l(-2). Factor x*v**2 + 2*v**3 + 2*v**3 + 179*v**4 + 2*v - 178*v**4 + 0*v.
v*(v + 1)**2*(v + 2)
Factor 0 - 20*r**2 + 224/3*r + 4/3*r**3.
4*r*(r - 8)*(r - 7)/3
Let f be 12/(-22) - (13 - (-2405)/(-154)) - (-164)/(-287). Factor -f + 3/2*g**2 + 0*g.
3*(g - 1)*(g + 1)/2
Let l = 825 - 297. Let m = l - 2627/5. Solve 12/5*o**2 + m*o**3 + 4/5*o + 1/5*o**5 + 0 + 6/5*o**4 = 0.
-2, -1, 0
Let f(u) be the second derivative of u**4/4 - 34*u**3 + 201*u**2/2 + 12*u - 246. Solve f(c) = 0 for c.
1, 67
Factor 2160 + 1/2*m**4 + 41/2*m**3 + 1584*m + 291*m**2.
(m + 2)*(m + 12)**2*(m + 15)/2
Suppose -2*r = 3*q - 54, -2*q + 744*r - 76 = 740*r. Factor -16/7 - q*v**2 - 64/7*v.
-4*(v + 2)*(7*v + 2)/7
Let f = 769/9 + -256/3. Let y(v) be the second derivative of f*v**3 + 0 + 10*v - 1/6*v**2 - 1/36*v**4. What is t in y(t) = 0?
1
Suppose i - 26*v = -27*v + 12, 0*v - 20 = -2*v. Determine z so that -1/6*z**5 - 265/3*z**i - 187/2*z - 7/3*z**3 + 363/2 + 17/6*z**4 = 0.
-3, 1, 11
Let j(u) be the second derivative of -u**6/15 - 11*u**5/5 - 97*u**4/6 + 88*u**3 - 144*u**2 + 2*u + 490. Factor j(p).
-2*(p - 1)**2*(p + 12)**2
Let k(v) = -9*v**4 + 47*v**3 - 13*v**2 - 123*v - 94. Let w(l) = -14*l**4 + 72*l**3 - 20*l**2 - 184*l - 142. Let x(n) = 8*k(n) - 5*w(n). Factor x(r).
-2*(r - 7)*(r - 3)*(r + 1)**2
Factor 10*k**2 - 6715/2*k - 840.
5*(k - 336)*(4*k + 1)/2
Let d(p) be the second derivative of 0 - 71*p - 9*p**2 - 9*p**3 - 5/2*p**4 + 5/6*p**5. Factor d(m).
2*(m - 3)*(5*m + 3)**2/3
Let r = -9 - -12. Let q(z) be the first derivative of 5*z**3 - 5*z + 1413*z**2 + r*z**5 - 7*z**5 - 1408*z**2 - 5*z**4 - 10. Factor q(p).
-5*(p + 1)**2*(2*p - 1)**2
Let q = 235314/5 - 47034. Suppose 14/5*a**4 - 186/5*a**3 + q + 724/5*a**2 - 696/5*a = 0. Calculate a.
2/7, 1, 6
Let d be -5*((-15)/5 + -3). What is w in -w**2 - 10*w - d - 9*w + 2*w = 0?
-15, -2
Find y such that 3969/4*y**4 - 504*y**3 - 8*y + 191/2*y**2 + 1/4 = 0.
1/9, 1/7
Let t = 160 + -156. Find s, given that -15*s**3 + 2*s**4 + 12*s**t - 12*s**2 - 17*s**4 = 0.
-4, -1, 0
What is w in -22/9*w**3 + 22/9*w - 26/9*w**2 + 8/3*w**4 + 2/9 = 0?
-1, -1/12, 1
Let z(b) = b**3 + 29*b**2 + 110*b + 44. Let p be z(-4). Let m(l) be the first derivative of 0*l - 3/28*l**p - 2*l**3 - 21/2*l**2 + 17. Factor m(g).
-3*g*(g + 7)**2/7
Let c(f) be the second derivative of -f**7/3360 + 7*f**6/1440 - f**5/80 - 7*f**3/6 + 9*f. Let t(s) be the second derivative of c(s). Find l such that t(l) = 0.
0, 1, 6
Suppose z - 12 = -j + 21, 3*z = -9. Let u be (j/(-16) + 2)*-8 - 0. Factor -u*y**3 - 7*y**2 + 11*y**2 - 5*y**2 - y**4.
-y**2*(y + 1)**2
Let r = 41135 + -658155/16. Let v(t) be the first derivative of 3/4*t + 1/24*t**3 - r*t**2 + 15. Solve v(q) = 0.
2, 3
Suppose -57*c - 36855 = -36969. Solve -6*n - 2/3*n**c + 0 = 0.
-9, 0
Let v(j) = 5*j + 32. Let n be v(-6). Let i(k) = k**2. Let z(t) = 4*t**2 + 3*t + 2. Let p(w) = n*z(w) - 6*i(w). Suppose p(h) = 0. What is h?
-2, -1
Let o be ((24/(-36))/(-2))/11. Let s(z) be the first derivative of -14 + 0*z + 1/22*z**4 + 1/55*z**5 + 0*z**2 + o*z**3. Find q, given that s(q) = 0.
-1, 0
Suppose -2994*j = -2937*j - 114. Let -4/5*c + 4/5 - 8/5*c**j = 0. What is c?
-1, 1/2
Find o such that 620/9*o**2 + 140/3 - 1186/9*o + 4/9*o**4 + 142/9*o**3 = 0.
-30, -7, 1/2, 1
Suppose -211*v + 63 = -188*v - 29. Let t(q) be the third derivative of -41*q**2 + 9/280*q**7 + 0*q**3 - 3/16*q**6 - 1/4*q**v + 0*q + 0 + 7/20*q**5. Factor t(y).
3*y*(y - 2)*(3*y - 2)**2/4
Let b = -21886 - -87553/4. Determine o so that -b - 11/4*o**2 - 1/4*o**3 - 19/4*o = 0.
-9, -1
Suppose -17 = -11*t - 83. Let w(m) = m**2 - 20*m. Let h(v) = v**2 - 19*v. Let g(c) = t*h(c) + 7*w(c). Find y such that g(y) = 0.
0, 26
Let u(l) be the second derivative of -l**7/21 + 4*l**6/5 - 27*l**5/5 + 56*l**4/3 - 35*l**3 + 36*l**2 - 3003*l. Determine h, given that u(h) = 0.
1, 3, 4
Let h(l) be the second derivative of -l**6/15 + 331*l**5/5 - 110221*l**4/6 + 72820*l**3 - 108900*l**2 - 990*l + 1. Solve h(v) = 0 for v.
1, 330
Let v(j) be the first derivative of -j**6/540 + j**5/180 + j**4/18 - 2*j**3/3 + 3*j**2/2 + 1. Let y(g) be the third derivative of v(g). Factor y(t).
-2*(t - 2)*(t + 1)/3
Let q be (-51)/90 + ((-480)/36 - -14). Let f(b) be the third derivative of q*b**4 + 0*b + 25*b**2 + 3/10*b**3 + 1/300*b**6 - 11/300*b**5 + 0. Factor f(m).
(m - 3)**2*(2*m + 1)/5
Let t(f) be the third derivative of 1/4*f**4 + 29/6*f**3 - 29*f**2 + 1/240*f**6 + 0 + 0*f + 1/20*f**5. Let s(c) be the first derivative of t(c). Factor s(i).
3*(i + 2)**2/2
Let k(j) be the third derivative of -j**7/315 + 7*j**6/90 - 22*j**5/45 + 10*j**4/9 + 1596*j**2. Factor k(y).
-2*y*(y - 10)*(y - 2)**2/3
Let r(m) be the first derivative of -m**9/30240 + m**7/1400 - m**6/450 + m**5/400 + m**3 - 18*m - 74. Let f(k) be the third derivative of r(k). Factor f(q).
-q*(q - 1)**3*(q + 3)/10
Suppose -5*z - 18 - 15 = f, -5*z = -2*f + 9. Let j(b) = 3*b**2 + 21*b - 24. Let t be j(f). Solve -2/3*o**2 - 22/3*o + t = 0.
-11, 0
Let f(b) = -26*b**2 - b - 6*b**2 + 30*b**2. Let p be f(0). Suppose 0 + p*t + 4/19*t**4 + 2/19*t**3 + 2/19*t**5 + 0*t**2 = 0. Calculate t.
-1, 0
Let t = 2627/27990 + 86/13995. Find j such that -6/5*j + 0 + t*j**2 = 0.
0, 12
Determine i, given that -8*i + i**2 - 102 - 24 + 12 + 43*i = 0.
-38, 3
Suppose 16 - 9 - 7 = -280*k. Let g(j) be the third derivative of 1/525*j**7 - 2/15*j**4 + 0 + k*j + 1/