 12/5*p + 26/5*p**2 + v*p**4 + 0 + 16/5*p**3.
2*p*(p + 1)**2*(p + 6)/5
Let k(n) = n**2 - 3*n. Let q(m) = 7*m**2 - 269*m - 1400. Let f(o) = -3*k(o) + q(o). Solve f(j) = 0 for j.
-5, 70
Let q(p) = -32*p**2 - 26*p - 78. Let l(g) = 21*g**2 + 25*g + 78. Let w(c) = 3*l(c) + 2*q(c). Factor w(v).
-(v - 26)*(v + 3)
Let o(x) be the first derivative of 3/8*x**2 - 1/8*x**4 + 0*x + 23/24*x**3 + 54. Suppose o(l) = 0. Calculate l.
-1/4, 0, 6
Let v(z) be the first derivative of -5*z**6/6 + 30*z**5 - 360*z**4 + 4480*z**3/3 + 4048. Suppose v(k) = 0. Calculate k.
0, 8, 14
Let d be ((-1)/2)/(25/1750). Let i(m) = -5*m**3 - 14*m**2 - 5*m. Let v(r) = -45*r**3 - 125*r**2 - 45*r. Let j(a) = d*i(a) + 4*v(a). Factor j(w).
-5*w*(w + 1)**2
Let z(k) = -k**2 - 394*k - 4. Let r(o) = -9*o**2 - 3149*o - 34. Let n(p) = 6*r(p) - 51*z(p). Suppose n(i) = 0. Calculate i.
0, 400
Let i be 175/(-875)*(-25)/15. Factor -i*k**3 + 0 + 0*k + k**2 - k**4 + 1/3*k**5.
k**2*(k - 3)*(k - 1)*(k + 1)/3
Let k(g) be the second derivative of -g**7/16380 - g**6/2340 + 2*g**5/195 - 15*g**4/2 + 12*g + 2. Let c(s) be the third derivative of k(s). Factor c(f).
-2*(f - 2)*(f + 4)/13
Let g(u) = 6*u**3 + 122*u**2 - 1986*u - 2109. Let k(f) = 4*f**3 + 82*f**2 - 1324*f - 1407. Let a(x) = 5*g(x) - 7*k(x). Find t such that a(t) = 0.
-29, -1, 12
Let c(o) be the first derivative of -o**6/57 - 162*o**5/95 - 459*o**4/38 - 450*o**3/19 + 1872. Factor c(m).
-2*m**2*(m + 3)**2*(m + 75)/19
Let d(o) = 12*o**3 + 45*o**2 + 38*o + 12. Let s(g) = -71*g**3 - 269*g**2 - 227*g - 72. Let u(f) = -37*d(f) - 6*s(f). Factor u(n).
-(2*n + 3)*(3*n + 2)**2
Let n(v) be the third derivative of 0*v**4 + 71*v**2 + 0*v**3 + 0*v**6 + 0*v + 1/840*v**7 - 2 - 3/80*v**5. Factor n(s).
s**2*(s - 3)*(s + 3)/4
Let h(k) = -212*k + 8922. Let p be h(42). Let z(y) be the first derivative of -p*y - y**3 - 21/2*y**2 - 9. Factor z(r).
-3*(r + 1)*(r + 6)
Let w(p) be the third derivative of p**5/180 + 83*p**4/72 - 43*p**3/3 + 2540*p**2. Factor w(q).
(q - 3)*(q + 86)/3
Suppose 996/7*t + 82668/7 + 3/7*t**2 = 0. Calculate t.
-166
Suppose -26 + 173*t**3 - 15*t + 169*t**3 - 341*t**3 + 12*t**2 = 0. What is t?
-13, -1, 2
Suppose 116*b + 1 = 115*b. Let m be 137/(-105) - b - 596/(-1043). Solve 4/15*x**2 - 8/15*x**3 - 8/15*x**4 + 2/3*x + m - 2/15*x**5 = 0 for x.
-2, -1, 1
Let n(v) be the third derivative of v**8/168 + v**7/105 - v**6/20 - v**5/30 + v**4/6 - 2377*v**2. Suppose n(r) = 0. What is r?
-2, -1, 0, 1
Let v(p) be the first derivative of 4*p**6/15 + 52*p**5/5 - 484*p**4/5 + 1192*p**3/5 - 252*p**2/5 - 1404*p/5 + 2607. Suppose v(b) = 0. What is b?
-39, -1/2, 1, 3
Let a(l) = -l**4 + l**3 - l**2. Let k(z) = 3*z**4 - 102*z**3 - 2396*z**2 + 98*z + 2401. Let u(p) = -20*a(p) - 5*k(p). Factor u(s).
5*(s - 1)*(s + 1)*(s + 49)**2
Let a = 6230/3 + -2617. Let r = -3233/6 - a. Factor -4/3*m**2 - 1/6 - r*m.
-(m + 1)*(8*m + 1)/6
Let z = -4817 + 4819. Let s(y) be the third derivative of 13*y**z - 1/10*y**6 + 0 + 2/15*y**5 + 0*y + 0*y**3 + 2/105*y**7 + 0*y**4. Let s(n) = 0. Calculate n.
0, 1, 2
Let j(r) be the second derivative of 3*r**8/560 + r**7/280 + 17*r**3/3 + 3*r + 3. Let m(f) be the second derivative of j(f). Let m(y) = 0. What is y?
-1/3, 0
Factor 10459*t**4 - 99*t**3 - 5177*t**4 - 5186*t**4 + 3*t**5.
3*t**3*(t - 1)*(t + 33)
Determine y so that -5*y**3 + 342 - 22*y**2 + 62748*y - 63051*y + 2*y**3 + 94*y**2 = 0.
2, 3, 19
Let u(n) be the third derivative of 19*n**6/5 - 233*n**5/15 + 139*n**4/6 - 40*n**3/3 + 7*n**2 - 63*n + 1. Find s such that u(s) = 0.
4/19, 5/6, 1
Suppose 4*q + 5*g - 195 = 579, -5*q - 3*g = -974. Let j = q + -196. Determine v so that -38/7*v**2 + 4/7*v + j = 0.
0, 2/19
Factor 3*p**2 + 1450 - 363*p - 940 + 102*p.
3*(p - 85)*(p - 2)
Let t(z) = 628*z - 2*z**2 - 2*z**2 - 12 - 640*z. Let q(k) = -3*k**2 - 10*k - 11. Let y(x) = -3*q(x) + 2*t(x). Factor y(j).
(j + 3)**2
Let k = -1463917 - -1463917. What is g in k - 3/7*g**2 + 3/7*g = 0?
0, 1
Let h(i) be the first derivative of 3/5*i**2 - 4/5*i + 14 + 4/3*i**3 - 16/25*i**5 - 1/5*i**6 + 0*i**4. Determine q, given that h(q) = 0.
-2, -1, 1/3, 1
Let s be ((-4323)/440 - -10) + 4/20. Let r(o) be the first derivative of 4/3*o**3 + s*o**4 - 1/5*o**5 + 0*o + 3/4*o**2 + 2. Solve r(b) = 0 for b.
-1, -1/2, 0, 3
Factor -108/7*h + 2916/7 + 1/7*h**2.
(h - 54)**2/7
Determine o, given that 11*o**3 - 4*o**5 + 58*o**2 + 2*o**5 + 16 - 2*o**3 + 52*o - 3*o**4 + 13*o**3 + o**4 = 0.
-2, -1, 4
Let u(q) be the third derivative of 722/15*q**3 + 0*q + 1007/60*q**4 + 1/100*q**6 + 0 - 56/75*q**5 - 267*q**2. Factor u(d).
2*(d - 19)**2*(3*d + 2)/5
Let b(a) be the second derivative of -a**5/4 + 15*a**4 - 405*a**3/2 + 1870*a. Factor b(y).
-5*y*(y - 27)*(y - 9)
Suppose 57 = 13*g + 785. Let b be (3/(-5))/(2 + g/20). Factor -9/4*n**2 - 3*n - b.
-3*(n + 1)*(3*n + 1)/4
Suppose -2*h - 4*r + 2 + 34 = 0, -h = -4*r - 24. Find m, given that -728 + h*m - 70*m - 240 - 26*m - 12*m - 2*m**2 = 0.
-22
Suppose 345*c - 354*c - 5553 = 0. Let k = c - -621. Determine h so that 1/2*h**3 - 2 - 5/2*h**2 + k*h = 0.
1, 2
Let l = 182141 + -182139. Find q such that 0 + 12/5*q**2 - l*q = 0.
0, 5/6
Let m(x) be the first derivative of -x**8/4200 + x**6/300 - x**5/150 + 43*x**3/3 + 63. Let p(n) be the third derivative of m(n). Factor p(o).
-2*o*(o - 1)**2*(o + 2)/5
Let p be 53/11 - (-4)/(-88)*-4. Let v(z) = 5*z**2 + 120*z - 1200. Let i(y) = -3*y**2 - 80*y + 800. Let j(t) = p*v(t) + 8*i(t). Factor j(s).
(s - 20)**2
Let b = -1933036/3 + 644357. Solve -6 + 53/3*u + b*u**2 = 0 for u.
-9/5, 2/7
Let c(r) = -8*r**2 + 32*r - 56. Let m(y) = -7*y**2 + 32*y - 54. Let s(n) = 3*c(n) - 4*m(n). Factor s(o).
4*(o - 6)*(o - 2)
Let g(j) be the second derivative of 5*j**7/84 - j**6/3 - 31*j**5/4 - 95*j**4/3 - 695*j**3/12 - 55*j**2 + 299*j. Solve g(a) = 0 for a.
-4, -1, 11
Let f(t) be the third derivative of t**5/330 - 5*t**4/44 + 26*t**3/33 + 1204*t**2. Factor f(y).
2*(y - 13)*(y - 2)/11
Suppose -197 = -5*y - 4*p + 559, -4*p + 452 = 3*y. Let t = y - 150. Let 0 + 27/4*m**t + 225/4*m**4 - 135/4*m**3 + 0*m - 125/4*m**5 = 0. What is m?
0, 3/5
Let o = 14080 + -14077. Let u(w) be the second derivative of -1/36*w**4 + 0*w**5 + 1/12*w**2 + 0 + 21*w + 0*w**o + 1/180*w**6. Factor u(t).
(t - 1)**2*(t + 1)**2/6
Suppose 2/9*i**2 + 8/3*i - 266/9 = 0. Calculate i.
-19, 7
Let g(n) be the first derivative of -n**4/32 + 11*n**3/16 + 9*n**2/4 - 196*n + 169. Let j(y) be the first derivative of g(y). Determine a, given that j(a) = 0.
-1, 12
Suppose -168*s = -172*s + 4*b + 84, 0 = b + 2. Let a(r) be the second derivative of 5*r**3 + 0*r**2 + 5/12*r**4 + 0 + s*r. Let a(l) = 0. Calculate l.
-6, 0
Let t be (-2*(4 + -5))/1. Find w such that -12*w**4 + 32*w + 64 - 2*w**3 - 13*w**4 - 36*w**t + 27*w**4 = 0.
-4, -1, 2, 4
Let i(x) = 5*x**2 - 10*x + 3. Let z(h) = 6*h**2 - 10*h + 4. Let o be (-8)/5*65/(-26). Let w(t) = o*i(t) - 3*z(t). Solve w(j) = 0.
0, 5
Let l(j) be the third derivative of 3*j**2 + j + 0 + 37/24*j**5 - 61/16*j**4 - 1/6*j**3. Let l(k) = 0. What is k?
-2/185, 1
Let r(a) be the second derivative of -3*a**6/10 - 471*a**5/10 + 186*a**4 - 267*a**3 + 321*a**2/2 - 81*a + 8. Let r(q) = 0. Calculate q.
-107, 1/3, 1
Suppose -13*t + 60 = -t. Let 189*w**4 - 72*w**4 - 85*w**4 + 18*w**3 + 4*w**2 + 14*w**t + 4*w**3 = 0. What is w?
-1, -2/7, 0
Let x(a) = -3*a**3 + 1190*a**2 - 785*a - 2770. Let w be x(396). Find v, given that -5/3*v**5 + 0 + 2/3*v + 13/3*v**4 - 3*v**3 - 1/3*v**w = 0.
-2/5, 0, 1
Let i be ((36/144)/(63/240))/((-4)/(-336)*6). Factor 16*y + 2/3*y**3 + 6*y**2 + i.
2*(y + 2)**2*(y + 5)/3
Let k = -2/138023 + 138031/552092. Factor -9/4*s + 9/4*s**3 - 1/4*s**4 + k*s**2 + 0.
-s*(s - 9)*(s - 1)*(s + 1)/4
Let d(t) be the first derivative of -112 + 0*t - 1/5*t**4 - 24/5*t**2 - 8/3*t**3 + 2/25*t**5. Let d(g) = 0. What is g?
-2, 0, 6
Let b(a) be the first derivative of -2/5*a**5 + 0*a - 2*a**4 + 35 + 14/3*a**3 + 10*a**2. Factor b(f).
-2*f*(f - 2)*(f + 1)*(f + 5)
Let f(t) be the second derivative of 2*t**7/21 - 64*t**6/15 + 213*t**5/5 + 526*t**4/3 + 560*t**3/3 + 748*t - 1. Find y, given that f(y) = 0.
-1, 0, 14, 20
Let h(u) be the first derivative of -3*u**5/10 + 825*u**4/8 - 547*u**3/2 + 819*u**2/4 - 3851. Factor h(g).
-3*g*(g - 273)*(g - 1)**2/2
Determine f, given that 0*f + 2/5*f**5 + 112*f**3 + 74/5*f**4 - 480*f**2 + 0