ate x.
-11, -1, 22
Factor -18*h - 1184/5 - 1/5*h**2.
-(h + 16)*(h + 74)/5
Let c be (3 - 15)/(-2) + 1 + -4. Suppose 1 = 2*p - c*k - 8, -2*p - 15 = 5*k. Factor -10/11*h**2 - 2/11*h**4 + p - 8/11*h**3 - 4/11*h.
-2*h*(h + 1)**2*(h + 2)/11
Let t(k) = k**2 + 8*k + 34. Let l be t(-4). Suppose -l + 12 = -3*y - 6*v, 0 = 5*y + 3*v - 3. Factor 26/3*q**3 + 24*q + y - 40*q**2 + 2/3*q**5 + 20/3*q**4.
2*q*(q - 1)**2*(q + 6)**2/3
Let a(h) be the third derivative of 0 - 10/21*h**3 + 0*h + 3/28*h**4 + 157*h**2 + 1/210*h**5. Factor a(p).
2*(p - 1)*(p + 10)/7
Let o(x) be the second derivative of -x**7/210 + 7*x**6/25 + 69*x**5/25 + 142*x**4/15 + 64*x**3/5 + 114*x. Factor o(h).
-h*(h - 48)*(h + 2)**3/5
Let x(j) be the third derivative of j**6/1260 - j**5/210 - j**4/63 + 4*j**3/21 + j**2 + 252. What is a in x(a) = 0?
-2, 2, 3
Let h = 23 + -399. Let t = -376 - h. Factor -2/11 + 4/11*k**2 + t*k + 0*k**3 - 2/11*k**4.
-2*(k - 1)**2*(k + 1)**2/11
Let i(v) = 3*v**3 - 40*v**2 + 91*v - 54. Let g(q) = -3*q**3 + 38*q**2 - 92*q + 53. Let y(b) = 4*g(b) + 3*i(b). Factor y(d).
-(d - 5)**2*(3*d - 2)
Factor -490 + 147/2*m - 1/2*m**2.
-(m - 140)*(m - 7)/2
Let j(k) be the first derivative of -42025*k**3 - 615*k**2 - 3*k - 350. Factor j(i).
-3*(205*i + 1)**2
Let m be (-6 - -1)/(-18 + (-637)/(-39)). Find n such that m*n**2 + 3/2*n + 3/2*n**5 - 3*n**3 - 3/2 - 3/2*n**4 = 0.
-1, 1
Let c(j) be the third derivative of 2/75*j**5 + 1/60*j**4 + 33*j**2 + 0*j**3 + 1/60*j**6 + 0*j + 0 + 2/525*j**7. Factor c(n).
2*n*(n + 1)**2*(2*n + 1)/5
Let c = 4029/59 + 3496634/413. Let l = c - 8507. Factor -132/7*a**3 + 18/7*a**4 + 32/7 + 176/7*a + l*a**2.
2*(a - 4)**2*(3*a + 1)**2/7
Let j be (7/7)/(0 - 1) + 3/2. Suppose 1/2*c**2 + j*c + 0 = 0. What is c?
-1, 0
Let z = -49953/220 - -12612/55. Let -3*o + z + 3*o**3 - 9/4*o**2 = 0. Calculate o.
-1, 3/4, 1
Let n be (-1 + 1 + -6)/((-30)/80). Let a(k) = -k**2 + k. Let y(x) = 44*x**2 + 132*x + 40. Let o(m) = n*a(m) + y(m). Factor o(t).
4*(t + 5)*(7*t + 2)
Let h be 12/(-45) + (-209)/(-660). Let u(d) be the second derivative of 0*d**4 - 7/30*d**6 + 0 - 7/24*d**7 + 0*d**3 - h*d**5 - 12*d + 0*d**2. Factor u(x).
-x**3*(7*x + 2)**2/4
Let t(r) = -18*r + 2. Let p be ((-6)/(-18))/(1/(-6)) - -2. Let v be t(p). Find s such that -2/5 - s - 3/5*s**v + 1/5*s**4 + 1/5*s**3 = 0.
-1, 2
Let d(u) = -5*u**2 - 62735*u - 98407405. Let j(i) = 3*i**2 + 31368*i + 49203731. Let p(c) = 2*d(c) + 5*j(c). Factor p(k).
5*(k + 3137)**2
Let h(u) = 7*u**3 - 417*u**2 + 2321*u - 1923. Let n(s) = 120*s**3 - 7092*s**2 + 39456*s - 32692. Let q(a) = -52*h(a) + 3*n(a). Determine p, given that q(p) = 0.
1, 5, 96
Suppose -8*w - 21 = -189. Let -3*l**3 + 21*l**2 - 6*l**3 + w*l**3 + 10*l + l**4 - 3*l**4 + 3*l**4 = 0. Calculate l.
-10, -1, 0
Let q = -1002/37 + 60157/2220. Let z(l) be the third derivative of 4/15*l**5 + 0*l + 0 - 7/12*l**4 - q*l**6 - 13*l**2 + 0*l**3. Let z(w) = 0. Calculate w.
0, 1, 7
Suppose 178*t = 186*t - 40. Let q(w) be the first derivative of 16*w + 76*w**t - 50/3*w**6 - 139*w**4 - 64*w**2 + 388/3*w**3 - 9. Solve q(d) = 0.
2/5, 1
Let z(m) be the second derivative of m**6/70 + 267*m**5/140 + 2109*m**4/28 + 817*m**3/2 + 5547*m**2/7 + 1887*m. Let z(w) = 0. What is w?
-43, -2, -1
Let s(h) be the first derivative of -2*h**3/51 - 83*h**2/17 + 168*h/17 + 2021. Factor s(k).
-2*(k - 1)*(k + 84)/17
Determine j, given that 9*j**5 - 195/2*j**4 + 298*j**3 - 70*j - 331/2*j**2 + 50 = 0.
-1/2, 2/3, 5
Let y = 1685 + -1679. Let m(l) be the third derivative of 0 - 1/252*l**8 + 26*l**2 - 1/18*l**y - 2/45*l**5 + 0*l + 0*l**4 + 0*l**3 - 8/315*l**7. Factor m(c).
-4*c**2*(c + 1)**2*(c + 2)/3
Suppose 0 = -25*y - 34*y + 177. Let g(c) be the second derivative of 0*c**y + 20*c - 1/75*c**6 - 3/25*c**5 + 0 - 3/10*c**4 + 0*c**2. Factor g(x).
-2*x**2*(x + 3)**2/5
Let n be (-26 - -30)/((-1)/10). Let i be -3 - 108/(-40) - 12/n. What is k in i*k + 0 + 4/5*k**4 - 4/5*k**2 + 4/5*k**3 - 4/5*k**5 = 0?
-1, 0, 1
Let u(j) be the first derivative of j**6/45 + 4*j**5/25 + 11*j**4/30 + 4*j**3/15 + 2035. Find c, given that u(c) = 0.
-3, -2, -1, 0
Suppose 3*q - 252 = -5*l, 4*l + 139 = -4*q + 339. Suppose 486*n - 456*n - 5970 = 0. Suppose n*a + l*a**2 + 3*a**3 + 41*a + 162 + 30 = 0. Calculate a.
-8, -1
Let f be (1989/(-68))/13 + 9/4. Let c(x) be the third derivative of -42*x**2 + f*x**6 - 2/105*x**7 + 1/15*x**5 + 0 + 0*x**3 + 0*x + 0*x**4. Factor c(k).
-4*k**2*(k - 1)*(k + 1)
Let k(j) be the second derivative of -j**4/84 + 37*j**3/7 + 2*j - 18. Factor k(h).
-h*(h - 222)/7
Let u(a) be the first derivative of 46 - 5/3*a**3 - 6125*a + 175*a**2. Factor u(h).
-5*(h - 35)**2
Let p be (-2)/10*4273 + 52/(-130). Let v = p + 857. Suppose 12/7*j - 4/7*j**4 + 20/7*j**v - 16/7 - 12/7*j**3 = 0. What is j?
-4, -1, 1
Let h(t) be the first derivative of 3/5*t**5 + 9/2*t**2 + 27/4*t**4 + 23*t**3 - 108*t - 108. Let h(q) = 0. Calculate q.
-4, -3, 1
Factor 1/2*k**2 + 24*k - 224.
(k - 8)*(k + 56)/2
Let h(r) be the first derivative of -3*r**4/4 - 240*r**3 - 42471*r**2/2 + 87846*r - 2983. Factor h(w).
-3*(w - 2)*(w + 121)**2
Let g be (-6998)/(-6)*(-69)/(-69). Let z = g + -1159. Suppose -10/3*p**4 - 4/3 + 8/3*p**5 - z*p**3 + 14/3*p + 14/3*p**2 = 0. Calculate p.
-1, 1/4, 1, 2
Let 2826 + 169/2*z**2 - 1/2*z**3 - 960*z = 0. What is z?
6, 157
Let v be ((-30)/4)/15 + (-5)/(-2). Find k, given that -12*k**v - 2*k**4 - 12*k**4 + 30*k**3 - 4*k**2 + 30*k**3 = 0.
0, 2/7, 4
Suppose 4*x = -c + 12, x = 5*c - x - 104. Suppose c*m = -11*m. Factor -15/4*o**2 + 3/4*o**5 + 3/4*o**4 - 9/4*o**3 + m - 3/2*o.
3*o*(o - 2)*(o + 1)**3/4
Let i(a) be the third derivative of 1/175*a**7 + 9/100*a**6 + 123*a**2 + 81/5*a**3 + 0*a - 1/560*a**8 - 81/40*a**4 - 9/25*a**5 + 0. Find r, given that i(r) = 0.
-3, 2, 3
Let c(l) = -4*l - 4. Suppose 0 = -3*t + 2*f - 14, f + 3 = -3*t + 1. Let o be c(t). Suppose -3*v**2 + o + 6*v + 7 - 2 = 0. Calculate v.
-1, 3
Suppose 484 = 195*q - 296. Let z be 12 + (-1)/(-3)*(-2 + 2). Factor 4/3*f**q - z + 8*f**3 + 32/3*f**2 - 8*f.
4*(f - 1)*(f + 1)*(f + 3)**2/3
Let y be (996 - 60) + (1*-1 - -5). Suppose -y*h**4 + 7*h**3 - 15*h**3 - h**5 + 4*h**2 + 945*h**4 = 0. Calculate h.
0, 1, 2
Suppose -p + 4*n + 139 = 0, 2*n + 323 = 2*p + 3*n. Let j = p + -139. Let 25*a**4 + 41 + 30*a**3 - 274 - 172 - 270*a - j*a**4 = 0. Calculate a.
-3, 3
Factor -8643*t**2 + 8627*t**2 - t**3 - 50*t - 10*t.
-t*(t + 6)*(t + 10)
Let i be -4 + (-4)/(-36) + 2076/27. Find s, given that -i*s + 32*s + 32*s + 6*s**2 - 5*s**2 = 0.
0, 9
Let t(p) be the first derivative of 1/4*p**3 - 311 - 27/2*p - 9/8*p**2. Suppose t(v) = 0. Calculate v.
-3, 6
Let m(n) be the third derivative of -n**5/330 + 5*n**4/11 - 500*n**3/33 - 5192*n**2. Factor m(y).
-2*(y - 50)*(y - 10)/11
Find j such that -88/3 - 16*j - 2/3*j**2 = 0.
-22, -2
Let u(n) be the second derivative of 12*n**7/35 + 1963*n**6/75 - 5001*n**5/50 + 1361*n**4/10 - 239*n**3/3 + 114*n**2/5 - 7010*n. Solve u(s) = 0 for s.
-57, 2/9, 1/4, 1
Let b = -13626/5 + 27257/10. Find o such that -5*o + 0 + b*o**2 = 0.
0, 10
Factor -1646/17*s**2 + 4/17*s**3 - 824/17*s + 0.
2*s*(s - 412)*(2*s + 1)/17
Suppose -22 = -h - 2*n - 26, 0 = 3*h + n - 3. Factor 1/6*i - 1 + 1/6*i**h.
(i - 2)*(i + 3)/6
Let t = 392 - 396. Let z(o) = -10*o**3 - 2*o**2 + 36*o + 28. Let b(c) = 8*c**3 + 2*c**2 - 35*c - 29. Let g(n) = t*b(n) - 3*z(n). Suppose g(y) = 0. What is y?
-4, -1, 4
Let u(a) be the third derivative of a**6/1140 - 7*a**5/570 + a**2 + 7*a + 44. Factor u(w).
2*w**2*(w - 7)/19
Let c(h) be the second derivative of 232*h - 7290*h**2 - 5/12*h**4 - 90*h**3 + 0. Factor c(d).
-5*(d + 54)**2
Let b be 25 - (-116)/(-2175)*465. Factor b*v**2 + 0 + 1/5*v**3 - 2/5*v.
v*(v - 1)*(v + 2)/5
Let s = 31976 - 31974. Let n(o) be the third derivative of -3*o**s + 7/40*o**6 - 1/28*o**7 + 0*o + 0*o**4 + 0*o**3 + 0 + 3/40*o**5. Factor n(q).
-3*q**2*(q - 3)*(5*q + 1)/2
Let u(m) = -m**3 + m**2 + 5*m + 2. Let y(z) = 2*z**3 - 3338*z**2 - 2782238*z - 2778895. Let h(p) = -6*u(p) - 2*y(p). Factor h(n).
2*(n + 1)*(n + 1667)**2
Let r(q) be the second derivative of 1/60*q**6 + 0 + 7/40*q**5 + 7/12*q**4 + 0*q**2 + 27*q + 2/3*q**3. Solve r(y) = 0 for y.
-4, -2, -1, 0
Let q = 27 + 9. Let n be (20/(-6) + 2)/(q/(-81)). Factor -2*h - h - 5*h**2 + h + n.
-(h + 1)*(5*h - 3)
Suppose -146 = -a - 143. Let k(d) be the second derivat