n**3 = 0. Calculate n.
-499, -2, 2
Let g(c) = -21*c**3 - 645*c**2 - 1308*c - 324. Let o(s) = 84*s**3 + 2570*s**2 + 5232*s + 1296. Let r(b) = -11*g(b) - 3*o(b). Factor r(u).
-3*(u + 2)*(u + 27)*(7*u + 2)
Let s(r) be the first derivative of r**3 + 165*r**2 + 9075*r + 511. Factor s(z).
3*(z + 55)**2
Let y = 145755353/85266181 - 3868/9097. Let n = y + 2/1339. Determine l so that 1/7*l**5 + 8/7*l**3 + 0 - n*l - 6/7*l**4 + 6/7*l**2 = 0.
-1, 0, 1, 3
Let u(o) = -o + 11. Let t be u(-7). Let a be (-42)/((2/8)/((-3)/t)). Factor -8*v**2 - 12*v**2 - a*v + 42*v**2 + 12 - 14*v**2.
4*(v - 3)*(2*v - 1)
Let y be ((-2204)/16530)/(((-22)/(-12))/(-11)). Find i such that -8/5*i**2 + 0 + y*i**3 + 0*i = 0.
0, 2
Let a(m) be the third derivative of m**5/20 - 25*m**4/8 + 57*m**3 - 130*m**2 + 6. Factor a(o).
3*(o - 19)*(o - 6)
Let u(v) be the first derivative of -v**4 + 88*v**3/3 - 1995. Suppose u(k) = 0. What is k?
0, 22
Let k(g) be the third derivative of g**7/63 - 13*g**6/144 - g**5/4 - 35*g**4/24 - g**3/6 - g**2 - 16*g. Let m(u) be the second derivative of k(u). Factor m(r).
5*(r - 2)*(8*r + 3)
Let s(x) = -53*x - 340. Let h be s(-11). Suppose 244*y - 2 = h*y. Let 3/5 - 1/10*u - 1/10*u**y = 0. Calculate u.
-3, 2
Let g(f) be the second derivative of -49*f**4 + 59*f**5 + 2 + 58/3*f**3 + 9*f - 70/3*f**6 - 4*f**2. Suppose g(c) = 0. What is c?
1/5, 2/7, 1
Let x = 39015 - 39013. Solve -1/2*g**x + 4 + g = 0 for g.
-2, 4
Let f = 290531 + -871535/3. Solve f*x**3 + 14*x**4 + 0 + 8/3*x**5 + 0*x + 4*x**2 = 0.
-3, -2, -1/4, 0
Suppose -10*x - 13 = u, u + 13 = -7*x + 2*x. Factor -2/3*h**3 + 2*h**2 + x - 4/3*h.
-2*h*(h - 2)*(h - 1)/3
Suppose 0 = -2*g + 16*g - 1344. Suppose -192*a + 60*a**2 - 134 - 26 - g - 4*a**3 = 0. What is a?
-1, 8
Suppose 0 = u - 2, -4 = -o - 2*u + 11. Let q = -7 + o. Factor q*f**2 - 3*f**2 + 4*f + 2 - 2 + 4.
(f + 2)**2
Let i(j) = 44*j**2 + 388*j - 760. Let v(r) = -14*r**2 - 129*r + 254. Let b(a) = 5*i(a) + 16*v(a). Solve b(m) = 0.
-33, 2
Let b = 37716 + -37713. Solve -28/9*x - 76/9*x**b + 98/3*x**4 + 0 - 40/9*x**5 - 50/3*x**2 = 0 for x.
-2/5, -1/4, 0, 1, 7
Let -120*f**2 - 84*f - 4944 - 4910 - 33*f**3 + 9902 = 0. Calculate f.
-2, 4/11
Let i(l) be the first derivative of -l**7/630 + 7*l**6/180 + 7*l**5/36 + l**4/3 + 29*l**3 - 269. Let d(r) be the third derivative of i(r). Solve d(m) = 0.
-1, -1/2, 12
Let p(g) be the first derivative of -4/21*g**3 - 27 - 112*g + 8*g**2. Factor p(o).
-4*(o - 14)**2/7
Let a(u) = u**3 - 16*u**2 + 61*u + 19. Let w be a(9). Let t be (231/1089)/(w/6). What is y in 6/11*y**4 + 2/11*y**5 + 0*y + 8/11 - 2/11*y**3 - t*y**2 = 0?
-2, -1, 1
Let a be (4 + (-322)/63)*(-97920)/1275. Factor a - 37*y**2 - 288*y - 7/6*y**3.
-(y + 16)**2*(7*y - 2)/6
Let a(w) be the second derivative of w**6/70 + 87*w**5/140 + 55*w**4/28 + 27*w**3/14 + 1581*w. Factor a(m).
3*m*(m + 1)**2*(m + 27)/7
What is t in -t - 6/7 + 8/7*t**3 + 6/7*t**2 - 1/7*t**5 + 0*t**4 = 0?
-2, -1, 1, 3
Let l = -1/9622 - -4901/865980. Let r(f) be the third derivative of l*f**6 + 17*f**2 + 0*f**5 - 1/12*f**4 + 0 + 2/9*f**3 + 0*f. Let r(p) = 0. Calculate p.
-2, 1
Let u(h) = -9*h**4 + 15*h**3 - 8*h**2 - 73*h + 45. Let t(y) = -8*y**4 + 16*y**3 - 4*y**2 - 72*y + 44. Let s(v) = 5*t(v) - 4*u(v). Solve s(r) = 0.
-2, 1, 5
Let n(k) be the first derivative of k**4/60 - k**3/5 - 7*k**2/10 + 68*k - 11. Let c(v) be the first derivative of n(v). Factor c(g).
(g - 7)*(g + 1)/5
Let k(p) be the second derivative of 75*p**4/4 + 2474*p**3/3 - 22*p**2 + 1647*p. Factor k(v).
(v + 22)*(225*v - 2)
Determine r so that 0 + 61/2*r**4 - 2*r**5 + 13*r**2 - 119/2*r**3 + 0*r = 0.
0, 1/4, 2, 13
Let g(j) be the second derivative of 2*j**7/147 + 4*j**6/105 - 8*j**5/35 + 2*j**4/21 + 2*j**3/3 - 8*j**2/7 - 1364*j. Factor g(t).
4*(t - 1)**3*(t + 1)*(t + 4)/7
Let z(y) = 28*y**3 - 7*y + 7. Let v be z(1). Let j be (-87)/(-21) + ((-32)/v - -1). Factor 2/5*m**3 + 2/5*m**2 + 1/5*m**5 - 3/5*m**j - 3/5*m + 1/5.
(m - 1)**4*(m + 1)/5
Let r = 17 - 15. Let v be (-34)/(-153) - ((-212)/18 + -1). Factor -31*p**2 - 8 + 9*p**r - 7 - 50*p - v*p**2.
-5*(p + 1)*(7*p + 3)
Let 12 - 7/2*p**2 + 19*p = 0. Calculate p.
-4/7, 6
Determine z so that -1/3*z + 1/3*z**3 - 1/9*z**2 + 1/9 = 0.
-1, 1/3, 1
Find r such that 1/2*r**3 - 3*r**2 + 0 + 3/4*r**4 - 1/4*r**5 + 2*r = 0.
-2, 0, 1, 2
Let t(f) be the first derivative of 2*f**5/15 - 4*f**4/3 + 10*f**3/3 + 2837. Factor t(l).
2*l**2*(l - 5)*(l - 3)/3
Let n be ((-5)/(-15))/((-3)/(-45)). Let w be (-26)/585*n - 136/(-126). Factor -9/7*f**4 + 0*f**2 + 3/7*f**5 + w*f**3 + 0 + 0*f.
3*f**3*(f - 2)*(f - 1)/7
Factor 1015/2*y + 3675/2 - 67/2*y**2 + 1/2*y**3.
(y - 35)**2*(y + 3)/2
Suppose 8*u = 7*u + 129. Factor 16*q + 36*q + u*q - 57*q + 4*q**3 + 84 + 44*q**2.
4*(q + 1)*(q + 3)*(q + 7)
Let d(n) be the third derivative of n**5/240 - 425*n**4/96 + 53*n**3/3 + 6*n**2 - 80. Factor d(l).
(l - 424)*(l - 1)/4
Let m(v) be the first derivative of -1/18*v**3 + 1/36*v**4 + 0*v**2 - 29 - 7*v. Let s(b) be the first derivative of m(b). Determine i, given that s(i) = 0.
0, 1
Let h(i) be the first derivative of -2*i**3/15 - 17*i**2/5 - 24*i - 4640. Let h(s) = 0. Calculate s.
-12, -5
Let x(b) be the second derivative of -b**4/150 - 19*b**3/25 + 448*b**2/25 - 2001*b - 3. Factor x(i).
-2*(i - 7)*(i + 64)/25
Suppose 1/9*x**2 + 283/9 + 284/9*x = 0. What is x?
-283, -1
Let z(c) be the third derivative of -c**7/1365 + 5*c**6/156 + c**5/15 + 229*c**2. Factor z(x).
-2*x**2*(x - 26)*(x + 1)/13
Let x(a) be the first derivative of -a**3/4 - 291*a**2/8 - 1411. Factor x(z).
-3*z*(z + 97)/4
Let d be (221/(-26) - -12)/((-1)/42). Let q be (12/14)/(1708/d - -12). Determine g so that q*g**2 - 3/4*g**4 - 3/4*g - 3/2 + 3/4*g**3 = 0.
-1, 1, 2
Determine b, given that 4*b**4 - 2124*b**2 + 5970*b - 7*b**4 + 11760 + 141*b**3 - 3633*b + 7155*b = 0.
-1, 14, 20
Let g(c) = 10*c - 97. Let w be g(10). Factor -m**4 - 2*m - 1 - 1185*m**3 + 2*m**2 - m**5 + m + 1187*m**w.
-(m - 1)**2*(m + 1)**3
Let h(n) be the third derivative of n**6/240 - 9*n**5/40 - 35*n**4/6 - 3808*n**2. Determine d, given that h(d) = 0.
-8, 0, 35
Suppose -159 = 2*h + 17. Let t be (4/(-22))/(8/h). Solve -80*v + v**t + 317 + 6*v**2 + 83 - 3*v**2 = 0.
10
Let o(d) be the first derivative of 12/7*d - 4/7*d**3 - 4/35*d**5 + 9/14*d**4 - 11/7*d**2 - 48. What is g in o(g) = 0?
-1, 1/2, 2, 3
Let m(i) be the first derivative of -i**6/96 - i**5/80 + i**4/48 - 24*i**2 - 20. Let p(l) be the second derivative of m(l). Factor p(c).
-c*(c + 1)*(5*c - 2)/4
Suppose -6*y + 80 = -0*y + 14*y. Let a(i) be the first derivative of 20/3*i**3 + 16*i + 1/2*i**y - 29 + 17*i**2. Factor a(c).
2*(c + 1)**2*(c + 8)
Let g(u) be the first derivative of u**6/51 + 38*u**5/85 + 61*u**4/17 + 556*u**3/51 + 21*u**2/17 - 882*u/17 + 2335. Determine b so that g(b) = 0.
-7, -3, 1
Let g(a) = -a - 7. Let i be g(-10). Suppose -5*b - 33 = -4*f, -3*f - 12*b = -16*b - 26. Suppose 25/2*t**i - 5/2*t**4 - 45/2*t**f - 5 + 35/2*t = 0. Calculate t.
1, 2
Let f = 570 - 574. Let b be 2048/168*(-3)/f. Let -16/7 + 12*h**3 - 4/7*h**2 - b*h = 0. What is h?
-2/3, -2/7, 1
Let y(r) be the first derivative of -5*r**3/9 + 45*r**2 - 1215*r - 6825. Factor y(i).
-5*(i - 27)**2/3
Let m(b) be the second derivative of -b**6/20 + 69*b**5/40 + 23*b - 6. Suppose m(t) = 0. Calculate t.
0, 23
Suppose b + 2*b - 34 = -5*d, 20 = 5*b + d. Let g = -3458 + 3522. Determine v, given that 18*v**2 + g + 80*v + 9*v**b - 5*v**3 + 14*v**2 = 0.
-4, -2
Let r(c) be the second derivative of c**6/90 - 77*c**5/60 - c**4/36 + 77*c**3/18 - c - 184. Determine x, given that r(x) = 0.
-1, 0, 1, 77
Let k be (-1399)/(-4197)*((2 - -5) + -1). Find u, given that 1/4*u**k - 9/4*u + 2 = 0.
1, 8
Let m(c) = 47*c**2 + 4*c. Let t be m(1). Factor -36*p**3 - 162*p**4 - t*p**3 - 10*p + 64*p**2 + 2*p + 0*p**3 - 3*p**3.
-2*p*(p + 1)*(9*p - 2)**2
Let d be (((-8)/(-12)*-1)/(-2))/(4028/5088). Determine j so that 8/19 - d*j**3 + 8/19*j - 6/19*j**2 - 2/19*j**4 = 0.
-2, -1, 1
Let f(u) be the third derivative of -u**5/180 - 569*u**4/12 - 323761*u**3/2 - 4112*u**2 + 1. Factor f(m).
-(m + 1707)**2/3
Let u(l) be the second derivative of l**5/60 - 47*l**4/12 + 91*l**3/2 - 405*l**2/2 - 6588*l. Solve u(g) = 0.
3, 135
Solve -1/3*q**5 + 0 - 22/3*q**4 + 88/3*q**2 + 9*q**3 - 92/3*q = 0.
-23, -2, 0, 1, 2
Let t(b) = -10*b**3 - 22*b**2 