i**4 + m*i**3 + 3*i**2 + 0. Let n(z) = 0. What is z?
-2, 0
Let c = 51 + -11. Let p be (-116)/(-154) + c/(-70). Suppose -p*s**2 - 8/11 - 8/11*s = 0. Calculate s.
-2
Factor 2/7*j**4 - 46/7*j - 10/7*j**3 - 6*j**2 - 16/7.
2*(j - 8)*(j + 1)**3/7
Let y(s) be the third derivative of s**8/168 + 68*s**7/735 + 169*s**6/420 + 12*s**5/35 - 3*s**4/7 + 1585*s**2. Determine p, given that y(p) = 0.
-6, -3, -1, 0, 2/7
Let t(d) = d**3 - 11*d**2 - 4*d + 47. Let a be t(11). Factor 137 - 147 + 30*j**4 + 0*j**4 - 90*j**2 - 5*j**a + 75*j.
5*(j - 1)**2*(j + 2)*(6*j - 1)
Suppose -54 = -5*q - 29. Suppose 30 = 7*g - q. Let 11*f**3 - 4*f**2 - 5*f**2 - 5*f**5 - f**2 - f**3 + 5*f**4 - g*f + 5 = 0. Calculate f.
-1, 1
Let u(c) = -90*c + 28. Let f be u(0). Suppose -4*w + 58 = 14. Factor -47*j**2 - 52*j - 3*j**4 + f*j + w*j**2 - 18*j**3.
-3*j*(j + 2)**3
Let g(i) = -2*i + 80. Let k be g(-14). Let v be 24/(-264) + (-1393)/(-77). What is j in -3/4*j**2 + v*j - k = 0?
12
Suppose -4*w + 202 = -3*l, -12*l + 16*l - 41 = -w. Suppose 60 = 3*p + 21. Factor 4*v**2 - p*v**3 + 177*v - 181*v - 64*v**3 - w*v**4 - 36*v**2.
-v*(v + 1)*(7*v + 2)**2
Factor -18*v**3 - 396/5*v**2 + 0 + 20328/5*v + 3/5*v**4.
3*v*(v - 22)**2*(v + 14)/5
Let w be (-8)/(80/(-50))*(5 + 70). Let g = w - 375. Determine y so that 3/7*y**3 + 6/7*y**2 + 0 - 3/7*y**5 + g*y - 6/7*y**4 = 0.
-2, -1, 0, 1
Let m(v) be the first derivative of -v**3/3 - 18*v**2 - 68*v + 4963. Suppose m(c) = 0. What is c?
-34, -2
Let g(t) be the second derivative of 59*t + 0 + 1/120*t**5 + 0*t**2 - 7/9*t**4 + 196/9*t**3. Solve g(r) = 0.
0, 28
Let c(f) be the second derivative of 0 + 35*f**2 + 43*f - 5/12*f**4 + 25/6*f**3. Factor c(h).
-5*(h - 7)*(h + 2)
Let f(i) be the second derivative of 5*i**4/24 + 765*i**3/4 - 2889*i. Factor f(y).
5*y*(y + 459)/2
Let q(n) be the third derivative of -13*n**5/15 + 124*n**4/3 - 38*n**3/3 + 12*n**2 + 2*n + 201. Factor q(g).
-4*(g - 19)*(13*g - 1)
Let g be (45/(-5))/(24 - (-2340)/(-80)). Factor 0 + 18/7*k**3 - g*k**2 - 12/7*k**4 + 3/7*k**5 + 3/7*k.
3*k*(k - 1)**4/7
Let t(j) = -2*j**2 - j - 1. Let d(f) = -f**2 + 2. Let v(r) = -19*r**2 - r + 29. Let u(b) = 5*d(b) - v(b). Let p(i) = -5*t(i) - u(i). Solve p(s) = 0.
-2, 3
Let v(x) be the second derivative of x**4/48 + 67*x**3/4 + 40401*x**2/8 - 2859*x. Factor v(h).
(h + 201)**2/4
Let n = 380 - 198. Let o = n + -180. Solve -1/4*z**4 - 1/4*z**3 + 3*z + 0 + o*z**2 = 0.
-2, 0, 3
Suppose -12*h - 38*h - 21700 = 0. Let v = 436 + h. Factor 3/4*r**3 - 2*r**v + 3/2 - 5/4*r.
(r - 3)*(r + 1)*(3*r - 2)/4
Let n(c) be the first derivative of c**8/420 - 2*c**7/105 + c**6/15 - 2*c**5/15 + c**4/6 + 4*c**3/3 + 49. Let i(f) be the third derivative of n(f). Factor i(q).
4*(q - 1)**4
Factor -9 + 990 - 40*h + 64*h**2 - 944*h - 61*h**2.
3*(h - 327)*(h - 1)
Let v(h) be the first derivative of -784/5*h + 252/5*h**2 - 4*h**3 + 91 + 1/10*h**4. Determine z so that v(z) = 0.
2, 14
Let v = 7/10 - 19/70. Let q = -7649/378 + 1139/54. Factor q*r**3 + v*r**4 + 3/7*r**2 + 0 + 0*r.
3*r**2*(r + 1)**2/7
Let z be 666174/(-101628) + 0 + (-56)/(-8). Let s = z - 1/1882. Solve 4/9*d**3 + s - 8/9*d**2 - 2/9*d + 4/9*d**4 - 2/9*d**5 = 0 for d.
-1, 1, 2
Factor 40*m + 4/9*m**3 - 76/9*m**2 - 32.
4*(m - 12)*(m - 6)*(m - 1)/9
Let y(d) be the second derivative of d**6/20 - 519*d**5/40 - 349*d**4/8 - 175*d**3/4 + 88*d + 6. Factor y(g).
3*g*(g - 175)*(g + 1)**2/2
Let w(g) be the first derivative of -4*g**5/5 + 14*g**4 + 64*g**3/3 - 28*g**2 - 60*g + 2256. Factor w(j).
-4*(j - 15)*(j - 1)*(j + 1)**2
Let o(w) be the second derivative of w**6/6 - 13*w**5/2 - 145*w**4/4 - 10*w**3/3 + 290*w**2 - 924*w - 1. Factor o(i).
5*(i - 29)*(i - 1)*(i + 2)**2
Let c(y) be the first derivative of -y**5/5 + 87*y**4/8 + 635*y**3/6 + 375*y**2/2 - 11143. Determine m, given that c(m) = 0.
-5, -3/2, 0, 50
Let p = -1133731/5 - -226747. Find l, given that 2/15*l**2 - 2/3*l + p = 0.
2, 3
Let c(v) = -v**3 - 64*v**2 - 64*v - 63. Let q be c(-63). What is p in 6/5*p - 8/5*p**2 + 2/5*p**3 + q = 0?
0, 1, 3
Suppose -2*x + 4*x = 5*j + 141, x - 70 = 2*j. Let w be x/42 + 52/(-182). Factor -w*p**4 - 4/3*p**2 + 2*p**3 + 0 + 1/3*p**5 + 1/3*p.
p*(p - 1)**4/3
Suppose -105 = 3*d + 3*d - 41*d. Factor 0 - 2/3*a**2 - 2/3*a**4 - 4/3*a**d + 0*a.
-2*a**2*(a + 1)**2/3
Let z**2 + 777 - 1042 + 838*z - 1415 = 0. Calculate z.
-840, 2
Let t = 28668/91 - 4062/13. Let d = -1509 + 10655/7. Let 8*h + 6/7*h**4 + 36/7*h**5 - d*h**3 + t*h**2 - 24/7 = 0. What is h?
-3/2, -1, 2/3, 1
Let a(z) be the first derivative of -z**9/16632 + z**8/4620 - z**7/4620 + 14*z**3/3 + 156. Let s(y) be the third derivative of a(y). Factor s(p).
-2*p**3*(p - 1)**2/11
Let z be (-225)/(-100) + 1209/(-4). Let h = 1209/4 + z. Solve -1 - 2*x - h*x**4 + 17/4*x**2 + 3*x**3 = 0 for x.
-1, -1/3, 2/3, 2
Factor 92/7*w + 2/7*w**2 + 258/7.
2*(w + 3)*(w + 43)/7
Solve -1133*r**4 + 1130*r**4 + 405*r**2 - 7*r**3 + 73*r**3 = 0 for r.
-5, 0, 27
Suppose -56994 = -38*h + 24*h. Factor -27 - 66*g**2 - 72*g - 2057*g**3 - 3*g**4 + h*g**3 - 2038*g**3.
-3*(g + 1)**2*(g + 3)**2
Let u = 777 + -514. Let -261*a**2 - 3 + u*a**2 + 4*a + 3 + 2 = 0. What is a?
-1
Let s = -667 + 2987. Let i be s/(-348) - 8*-1. Factor -20/9*c + 4/9*c**3 + 4/9*c**2 + i.
4*(c - 1)**2*(c + 3)/9
Let z(q) = 150*q - 5844. Let p be z(39). Let c(w) be the third derivative of w**4 - 2/105*w**7 - 1/5*w**6 + 0*w**3 + p + 0*w + 1/15*w**5 + 2*w**2. Factor c(l).
-4*l*(l - 1)*(l + 1)*(l + 6)
Let i(u) be the third derivative of u**6/120 + 16*u**5/15 - 131*u**4/24 + 11*u**3 + u**2 - 270. Solve i(f) = 0 for f.
-66, 1
Let 241*m**4 + 1764*m**3 - 330*m**4 - 445622*m - 503*m**4 + 2*m**5 - 1760*m**2 + 446208*m = 0. What is m?
0, 1, 293
Let d(z) be the second derivative of z**5/70 + 61*z**4/7 - 35*z**3 + 368*z**2/7 + 980*z. Suppose d(k) = 0. Calculate k.
-368, 1
Let n = -34059/20 - -6361/5. Let s = 432 + n. Factor -s*t**3 + 5/4*t**5 + 5/4*t**4 + 0 - 5/4*t**2 + 0*t.
5*t**2*(t - 1)*(t + 1)**2/4
Let p(r) be the first derivative of 0*r - 2/5*r**5 + 1/3*r**6 - 2*r**4 - 38 + 8/3*r**3 + 0*r**2. Factor p(f).
2*f**2*(f - 2)*(f - 1)*(f + 2)
Let z(k) be the second derivative of -k**6/30 - 189*k**5/5 - 11907*k**4 + 2*k + 7034. Factor z(c).
-c**2*(c + 378)**2
Suppose 8*d = 269 - 3229. Let b be 0 + 1 + -6 + (-2405)/d. Suppose -2*m**3 + b*m**2 + 1/2*m**4 + 0*m + 0 = 0. Calculate m.
0, 1, 3
Let k = -93448/15 + 31156/5. Suppose 1/3*b**5 - k + 4/3*b - 1/3*b**4 + 5/3*b**2 - 5/3*b**3 = 0. Calculate b.
-2, -1, 1, 2
Let t(a) = -6*a**2 + a. Let f(p) = -17*p**2 + 8712*p - 3793205. Let j(b) = f(b) - 2*t(b). Factor j(c).
-5*(c - 871)**2
Let d(i) be the third derivative of 0*i**3 + 4*i**2 + 1/60*i**5 + 0*i**4 + 0 + 0*i. Let r(b) = 2*b**2 - 3*b. Let g(n) = -3*d(n) + r(n). Factor g(p).
-p*(p + 3)
Let c be ((-2)/(-13))/(1074/6981) + 1. Factor -36/5*s + 7 + 1/5*s**c.
(s - 35)*(s - 1)/5
Suppose 0 = 2*z + 3*h + 5, 4 = 54*z - 53*z - 5*h. Let t be (-2*(10 - 9))/(z - 0). Determine u so that -9/5*u**3 - 3/5*u**t + 4/5*u - 2/5*u**4 + 0 = 0.
-4, -1, 0, 1/2
Suppose 4*f - 2*x - 78 = 0, -4*f - 4*x = -2*f - 24. Let s = -13 + f. Factor 20*v**s + 20*v**3 + 8*v**3 - 8*v**5 + 5*v**4 - 37*v**4 - 8*v**2.
4*v**2*(v - 1)**2*(3*v - 2)
Suppose z = -12*z + 2158. Suppose -170*g - 144 - z*g**2 - 12*g**3 + 58*g + 18*g**2 - 368*g = 0. Calculate g.
-6, -1/3
Let c(z) = 3*z**2 - 65*z - 610. Let s(p) = -21*p**2 + 480*p + 4269. Let t(r) = -15*c(r) - 2*s(r). Suppose t(y) = 0. Calculate y.
-12, 17
What is n in 777*n + n**2 - n**2 + 3800 - n**2 + 193*n + 6*n**2 = 0?
-190, -4
Let x be 4/(-7 - 368/(-52)) - -2. Let n be x/15 + (-24)/(-60). Find v such that -2*v**n + 2*v**2 + 2/3*v**3 + 2/3*v + 0 - 4/3*v**5 = 0.
-1, -1/2, 0, 1
Let c(t) be the second derivative of 3*t**7/56 - 101*t**6/120 + 319*t**5/80 - 37*t**4/16 - 55*t**3/3 + 25*t**2/2 + 288*t - 3. What is a in c(a) = 0?
-1, 2/9, 2, 5
Suppose -2248*h + 1261 + 5483 = 0. Factor 7/4*l + 1/4*l**h + 15/4 - 7/4*l**2.
(l - 5)*(l - 3)*(l + 1)/4
Suppose -2*c = 3*d + 863, -4*d - 208 = -2*c + 952. Let s = d - -291. Determine a so that -2/5 + 7/5*a**3 - 3/5*a**s + a**4 - 7/5*a = 0.
-1, -2/5, 1
Let a(z) be the first derivative of 9*z**2 - 21 - 1/2*z**3 - 54*z. Factor a(v).
-3*(v - 6)**2/2
Let d(a) be the first derivative of -12/7*a**3 - 8/7*a**4 + 432/7*a - 56 + 216/7*a**2 + 4/35*a**5. Suppose d(q) = 0. What is