815*t - 496 - 2*t**2 + 0*t**2 + 3683*t = 0. Calculate t.
-62, -4
Let c(u) be the second derivative of -u**5/390 + 4*u**3/39 + 45*u**2/2 - 33*u. Let r(m) be the first derivative of c(m). Factor r(d).
-2*(d - 2)*(d + 2)/13
Let x(o) be the first derivative of -25/2*o**2 - 2*o - 4*o**3 + 11. Factor x(q).
-(q + 2)*(12*q + 1)
Let c(v) = -v**3 - 2*v**2 - v. Let j(f) = 166*f**3 - 488*f**2 + 162*f + 120. Let b(k) = 10*c(k) - j(k). Factor b(q).
-4*(q - 2)*(q - 1)*(44*q + 15)
Let g = 327/280 - 187/280. Determine o so that -1 + o + g*o**3 + 7/4*o**2 = 0.
-2, 1/2
Let f(a) be the second derivative of -1/13*a**3 + 5/78*a**4 - 4/13*a**2 - 1/195*a**6 + 3/130*a**5 + 2 - 10*a. Suppose f(w) = 0. What is w?
-1, 1, 4
Let z(y) be the first derivative of 22 + 0*y**3 + 1/130*y**5 + 0*y**2 + 1/78*y**4 - 18*y. Let v(q) be the first derivative of z(q). Solve v(a) = 0.
-1, 0
Let k(j) be the third derivative of -j**5/20 + 199*j**4/8 - 145*j**2. Factor k(h).
-3*h*(h - 199)
Let m(t) be the first derivative of -t**4/4 - 7*t**3/3 - 8*t**2 - 12*t + 364. Suppose m(v) = 0. What is v?
-3, -2
Let f be (-3)/(-3)*4/((-8)/(-18)). Suppose f = 8*j - 15. Let -2/5*k**j + 6/5*k**4 + 4/5*k - 2/5*k**5 - 6/5*k**2 + 0 = 0. What is k?
-1, 0, 1, 2
Let k(q) be the third derivative of 0 + 5/12*q**5 + 0*q + 5/24*q**6 - 5/8*q**4 - 5/168*q**8 - 1/14*q**7 - 5/3*q**3 + 67*q**2. Find h, given that k(h) = 0.
-2, -1, -1/2, 1
Let b(y) be the first derivative of 2*y**3/51 - 19*y**2/17 + 176*y/17 + 3752. What is a in b(a) = 0?
8, 11
Let g(t) be the second derivative of -3/160*t**5 - 2*t + 1/4*t**3 - 3/32*t**4 + 0*t**2 + 0. Factor g(b).
-3*b*(b - 1)*(b + 4)/8
Let j(x) be the first derivative of -x**4/12 + 8*x**3/3 - 32*x**2 - 48*x + 45. Let l(h) be the first derivative of j(h). Factor l(z).
-(z - 8)**2
Let a(r) be the first derivative of r**3/21 - 57*r**2/7 + 3249*r/7 - 731. Determine b so that a(b) = 0.
57
Let b(o) be the second derivative of -o**6/3060 + 8*o**5/255 - 64*o**4/51 + 5*o**3/2 - o**2/2 - 67*o. Let r(k) be the second derivative of b(k). Factor r(z).
-2*(z - 16)**2/17
Suppose 3 + 5 = 4*w - g, -g - 6 = -3*w. Suppose -12*c + 11*c = -w. Factor 23*o - 100*o**5 + 14*o**4 - 16*o**c - 34*o**4 + 64*o**3 - 23*o.
-4*o**2*(o + 1)*(5*o - 2)**2
Let x(v) = -2*v**3 + 55*v**2 + 86*v + 33. Let f be x(29). Let -10*q**3 + 5*q**2 + 2*q**f + 0*q**4 + 2*q**4 + q**4 = 0. What is q?
0, 1
Factor 32*x + 53*x - x + 111*x**2 - 33*x**2 - 3*x**3 - 42*x**2.
-3*x*(x - 14)*(x + 2)
Let -1/2*r**4 - 391/2*r - 65 - 393/2*r**2 - 133/2*r**3 = 0. Calculate r.
-130, -1
Let f be ((-5871)/(-3762) - 8/6)/((-5)/(-60)). Let 0 - f*l**3 - 2/11*l - 16/11*l**2 + 32/11*l**5 + 16/11*l**4 = 0. Calculate l.
-1, -1/4, 0, 1
Suppose -350*h = -450*h - 359*h - 454*h. Factor 18/5*q + h - 16/5*q**2 - 2/5*q**3.
-2*q*(q - 1)*(q + 9)/5
Factor -p**4 - 4015*p**2 + 6811*p + 3*p**4 + 3*p**4 - 1156*p - 958*p**3 + 1743*p**3 - 2430.
5*(p - 3)*(p - 1)**2*(p + 162)
Solve 3/7*l**5 - 297/7 + 3/7*l**4 + 42*l**2 + 303/7*l - 306/7*l**3 = 0 for l.
-11, -1, 1, 9
Let v(q) be the third derivative of 5*q**8/336 + 10*q**7/21 + 29*q**6/6 + 71*q**5/6 - 195*q**4/8 - 135*q**3 + q**2 - 2*q + 1606. Solve v(i) = 0 for i.
-9, -2, -1, 1
Let o be (-6)/(-10) + (30444/(-4130))/(-2). Solve o - 3*j + 3/7*j**2 = 0.
2, 5
Let r = 1081 - 1016. Let z be 5 - 2 - (-7)/((-273)/r). Find s such that -z*s**3 + 4/3 + 14/3*s**2 - 14/3*s = 0.
1/2, 1, 2
Suppose -12 - 28 = -22*t + 26. Let x(u) be the first derivative of -1/4*u**4 + 4/3*u**t - 5/2*u**2 + 2*u + 1. Factor x(b).
-(b - 2)*(b - 1)**2
Suppose 3 + b - 47/4*b**2 + 11/4*b**4 - 7/4*b**5 + 27/4*b**3 = 0. Calculate b.
-2, -3/7, 1, 2
Let w(z) = -448*z - 10299. Let h be w(-23). Let f = 32 + -26. Suppose -21/2*r**4 - 9/4*r**h + 7*r - f - 31/4*r**3 + 27/2*r**2 = 0. Calculate r.
-3, -2, -1, 2/3
Factor 15*v**3 - 110*v**2 - 61*v + 741*v**4 - 42*v - 17*v - 736*v**4.
5*v*(v - 4)*(v + 1)*(v + 6)
Let r(f) be the first derivative of f**3/12 - 35*f**2/8 + 75*f + 1334. Suppose r(m) = 0. What is m?
15, 20
Solve -2573348*a + 2573495*a + 94*a**3 + 3*a**4 + 59*a**3 + 297*a**2 = 0 for a.
-49, -1, 0
Determine x so that 1/2*x**3 + 33*x**2 + 5324 + 726*x = 0.
-22
Let q be (-142)/(-12) + (124 - 129) + (-15)/10. Suppose -20/3*n + q*n**2 + 8/3 - 4/3*n**3 = 0. What is n?
1, 2
Let j(g) = -3*g**4 - 58*g**3 + 299*g**2 - 432*g + 199. Let u(d) = 6*d**4 + 114*d**3 - 597*d**2 + 864*d - 396. Let x(f) = -9*j(f) - 5*u(f). Factor x(v).
-3*(v - 3)*(v - 1)**2*(v + 21)
Let l(k) = 18*k**5 + 33*k**4 - 3*k**3 - 9. Let w(c) = -21*c**5 - 34*c**4 + 3*c**3 + 8. Let s(b) = 8*l(b) + 9*w(b). What is m in s(m) = 0?
-1, 0, 1/15
Solve 7009*k + 4*k**5 - 100*k**4 - 1609*k + 1625*k**2 + 2155*k**2 + 324*k**3 = 0 for k.
-3, -2, 0, 15
Let i = -3656 - -3660. Let y(n) be the second derivative of 0 - 1/9*n**3 - 1/54*n**i + 15*n + 4/9*n**2. Factor y(u).
-2*(u - 1)*(u + 4)/9
Factor 0 + 464/5*g**2 + 462/5*g + 2/5*g**3.
2*g*(g + 1)*(g + 231)/5
Suppose 4*p - 2090 = -4*q - 2034, -4*p + 35 = -3*q. Factor -3/4*z + 0 - 1/2*z**2 + 1/4*z**q.
z*(z - 3)*(z + 1)/4
Let c(r) be the third derivative of -r**8/336 - 4*r**7/105 + r**6/4 - 8*r**5/15 + 11*r**4/24 - 597*r**2. Factor c(a).
-a*(a - 1)**3*(a + 11)
Let 34/3 + 23/6*p**4 - 104/3*p - 115/6*p**3 + 233/6*p**2 - 1/6*p**5 = 0. What is p?
1, 2, 17
Let r(q) be the first derivative of -1/2*q**3 - 9/4*q - 25 - 21/8*q**2 + 1/8*q**6 + 9/8*q**4 + 3/4*q**5. Solve r(k) = 0 for k.
-3, -1, 1
Let s = 1826 - 5401. Let r = -32131/9 - s. Factor 242/9 + 2/9*n**2 + r*n.
2*(n + 11)**2/9
Suppose -3*o + 27 = 33. Let w(j) = -2*j**2 - 7*j - 2. Let a be w(o). Factor -4/7*g**2 + 0*g + 0 - 6/7*g**a - 10/7*g**3.
-2*g**2*(g + 1)*(3*g + 2)/7
Let c(u) be the second derivative of -1/4*u**5 - 1805/6*u**3 + 0*u**2 + 95/6*u**4 - 73 + u. Factor c(z).
-5*z*(z - 19)**2
Determine k so that -137*k**3 - 35*k**3 + 2448*k**2 - 7218*k + 3508 - 4*k**4 + 2853 - 3086*k + 7719 = 0.
-55, 4
Let m = -170 - -172. Determine h, given that -9*h - 2*h + 20*h**m - 5 + 0*h - 4*h = 0.
-1/4, 1
Let y(c) = -15*c + 78. Let o(m) = -m**2 - 19*m - 79. Let l be o(-12). Let d be y(l). Factor -45/4*z**2 - 3/4*z - 57/4*z**d + 3/2 - 21/4*z**4.
-3*(z + 1)**3*(7*z - 2)/4
Let r(s) = s**3 + 18*s**2 - 20*s - 15. Let c be 4/(-14) - 393/21. Let j be r(c). Factor -2*i**2 - 13*i + j*i + 5*i**2 + 4 + 2.
3*(i - 2)*(i - 1)
Let v = 5797559/9 + -644173. Factor 76/9 + 226/9*n + 74/3*n**2 - v*n**4 + 70/9*n**3.
-2*(n - 38)*(n + 1)**3/9
Let o(v) be the second derivative of 0 + 25/6*v**3 + 5/36*v**4 + 65/3*v**2 - 280*v. Factor o(u).
5*(u + 2)*(u + 13)/3
Suppose -104*l = -4*t - 98*l + 36, 18 = -t - 3*l. What is a in -2/7*a**5 - 8/7*a + 8/7*a**2 + t - 4/7*a**4 + 6/7*a**3 = 0?
-2, 0, 1
Let w = -76 - -78. Factor 2*t**3 - 12*t**4 + 2*t**5 + 62*t - 138*t + 6*t**3 + 66*t + 12*t**w.
2*t*(t - 5)*(t - 1)**2*(t + 1)
Let c be (-2065)/(-75) - -3 - (4060/30)/(-29). Factor -4/5*i**3 + c - 176/5*i**2 + 4/5*i.
-4*(i - 1)*(i + 1)*(i + 44)/5
Let w(k) = 99*k**2 + 974*k + 947. Let s(m) = -37*m**2 - 325*m - 315. Let b(f) = -8*s(f) - 3*w(f). Factor b(l).
-(l + 1)*(l + 321)
Let y = 10303/6 + -1717. Let z(t) be the second derivative of -y*t**2 - 5/36*t**4 + 2/9*t**3 + 0 + 1/30*t**5 - 18*t. What is s in z(s) = 0?
1/2, 1
Suppose -33 = -2*w + 19. Suppose -28 = -w*g + 19*g. What is b in -g*b**3 - 2 + 1 - 5*b + 17*b - 7 = 0?
-2, 1
Factor 0*v + 0 + 87/4*v**3 + 91*v**2 - 1/4*v**4.
-v**2*(v - 91)*(v + 4)/4
Let g = 2209/5 + -440. Let k be (-108)/378*21/(-5). Suppose g*f**4 - 6/5*f - 1/5 + k*f**3 - 8/5*f**2 = 0. What is f?
-1, -1/3, 1
Solve -23/2*u - 11/2*u**2 - 35/6 + 1/6*u**3 = 0.
-1, 35
Let o = 56501/254295 - -1/28255. Let j(p) be the first derivative of -o*p**3 - 2*p - 26 - 4/3*p**2. Factor j(a).
-2*(a + 1)*(a + 3)/3
Let x(v) = 2*v**3 - 10*v**2 - 4*v + 2. Let s(l) = -l**2 + l - 1. Let o = -263 + 273. Let q(n) = o*s(n) - x(n). Factor q(y).
-2*(y - 2)*(y - 1)*(y + 3)
Factor 189003/4 - 1/4*b**3 - 61495/4*b - 499/4*b**2.
-(b - 3)*(b + 251)**2/4
Let m(p) be the third derivative of -49*p**5/40 - 4277*p**4/4 - 373321*p**3 - 8*p**2 + 196*p. Determine q so that m(q) = 0.
-1222/7
Let r be 20*(1*(-2)/(-1) - 0). Determine n, given that -73*n**3 + 38*n**3 + r*n**2 + 59*n**3 + 8*n + 22*n**3 + 14*n**4 = 0.
-2, -1, -2/7, 0
Let g(i) be the third derivative of -i**6/30 - 2*i**5/15 + 8*i**4/3 + 64*i**3/3 + 2810*i