 y**4/36 + 323*y**3 + 2816883*y**2/2 + 2700*y + 1. Factor g(k).
(k + 2907)**2/3
Let q be (124605/(-12922))/(1 + 20/(-14)). Factor 3/4*k**4 + 87/4*k**2 + 0*k + q*k**3 + 0.
3*k**2*(k + 1)*(k + 29)/4
Let v(s) = -5*s**2 - 27*s - 7. Let a be v(-5). Suppose -70 + 340*l - 50 + 202*l**3 - 45*l**4 + 83*l**a - 590*l**2 + 120*l = 0. Calculate l.
2/3, 2, 3
Let a(i) be the third derivative of i**6/960 - 7*i**5/160 + 1929*i**2. Find b, given that a(b) = 0.
0, 21
Let x(g) be the second derivative of 2*g + 23/72*g**4 + 1/3*g**2 + 1 + 7/120*g**5 + 5/9*g**3. Factor x(l).
(l + 1)*(l + 2)*(7*l + 2)/6
Let o be 1/(-7)*-2 + 44/(-7). Let l be 3*20/30*o/(-4). Factor 0*r**l + 4*r - 26*r**3 + 6*r - 25*r**2 - 9*r**3.
-5*r*(r + 1)*(7*r - 2)
Let a = 4416 - 4413. Let u(c) be the third derivative of 0*c**a - 8*c**2 + 0 + 0*c + 0*c**4 + 1/40*c**5. Factor u(n).
3*n**2/2
Let s(w) be the third derivative of w**7/210 + w**6/60 - w**5/3 + w**4 - 527*w**2. Factor s(l).
l*(l - 2)**2*(l + 6)
Let l(v) be the first derivative of -v**6/66 + 4*v**5/11 + 21*v**4/44 + 2081. Factor l(q).
-q**3*(q - 21)*(q + 1)/11
Let k be 403/26 - (-2)/(-4). Let u be (-23 + k)*-2*(-2)/(-24). Let 16/3*j**2 - 2/3*j**5 + 4/3*j**3 + 14/3*j - u*j**4 + 4/3 = 0. Calculate j.
-1, 2
Let d(q) = -41*q - 447. Let m be d(-11). Let g be -3 - m*(-9)/6. Factor -2/7*h**g + 4/7 + 8/7*h**2 - 10/7*h.
-2*(h - 2)*(h - 1)**2/7
Let j(f) be the first derivative of f**3 - 51*f**2/2 - 1044*f - 8272. Factor j(w).
3*(w - 29)*(w + 12)
Solve -897627/4*c**3 + 0*c**2 + 0 - 3/4*c**5 + 0*c + 1641/2*c**4 = 0 for c.
0, 547
Let c(k) be the first derivative of -k**6/10 + 21*k**5/25 - 9*k**4/4 + k**3 + 24*k**2/5 - 36*k/5 + 890. Solve c(r) = 0.
-1, 1, 2, 3
Suppose 3*o + 5*c = -10, -4*o + 8 = 4*c + 32. Let r be (70/21)/o*(0 + 0). Find x such that -1/4*x**3 - 3/2*x**2 - 9/4*x + r = 0.
-3, 0
Let q(z) be the first derivative of z**4/2 + 80*z**3/3 - 4*z**2 - 320*z + 6273. What is o in q(o) = 0?
-40, -2, 2
Determine y, given that -27/4 + 3/2*y**2 - 3/8*y**3 + 45/8*y = 0.
-3, 1, 6
Suppose 3289/2*d**2 + 1/2*d**4 + 57800 + 21420*d - 63*d**3 = 0. What is d?
-5, 68
Let z = 1508/183 - 1447/183. Suppose y**2 - 1/3*y**3 - y + z = 0. Calculate y.
1
Let s = -715732 - -715734. Determine d, given that 8*d - 28/3*d**s + 4/3 = 0.
-1/7, 1
Let y be (0/(-2)*1)/(30/10)*-1. Let x(w) be the second derivative of 1/36*w**4 + 1/6*w**2 + 1/9*w**3 + y - 20*w. Suppose x(o) = 0. Calculate o.
-1
Factor 2/15*n**2 + 2116/3*n + 2798410/3.
2*(n + 2645)**2/15
Let h = 39 - 1. Suppose -65 = n - 6*n. Determine b, given that -n*b**4 - 2*b**2 - 8 + 20*b + h*b**2 - 7*b**4 - 8*b**4 - 20*b**3 = 0.
-1, 2/7, 1
Let r(q) be the first derivative of -8*q**3/3 - q**2/4 + 15*q/2 + 4215. Solve r(g) = 0.
-1, 15/16
Let i(a) = a**2 + 6*a + 6. Let y be i(-3). Let t be 4/((-4)/y) + 0. Factor s**t + s**3 - 2*s + 5*s - 8*s**3 + 3*s**5.
3*s*(s - 1)**2*(s + 1)**2
Let w(g) = g**3 + 50*g**2 - 630*g - 1796. Let u be w(-60). Factor 40/3*p**u + 8/3*p**3 + 0*p + 0 + 0*p**2 - 22/3*p**5.
-2*p**3*(p - 2)*(11*p + 2)/3
Factor -12/5*v**3 - 88/5*v + 1/5*v**4 + 51/5*v**2 + 48/5.
(v - 4)**2*(v - 3)*(v - 1)/5
Let j(x) be the third derivative of x**8/1680 - x**6/25 - 16*x**5/75 - 2*x**4/5 + 1250*x**2 + 1. Factor j(h).
h*(h - 6)*(h + 2)**3/5
Suppose -c - 7*c + 240 = 0. Suppose -c*n**2 - 25*n**3 - 7*n**5 + 9*n**4 + n**4 + 4*n**5 + 8*n**5 = 0. Calculate n.
-3, -1, 0, 2
Let f(i) be the third derivative of i**5/390 + 311*i**4/78 + 96721*i**3/39 - 331*i**2. Solve f(r) = 0 for r.
-311
Factor 86*s**3 + 106*s**3 - 30*s**2 + 5*s**5 - 50*s**4 - 52*s**3 - 64150*s + 63925*s + 0*s**5.
5*s*(s - 5)*(s - 3)**2*(s + 1)
Let h(x) be the third derivative of -2/9*x**3 - 1/90*x**5 + 5 - 1/12*x**4 + 0*x + 7*x**2. Let h(k) = 0. Calculate k.
-2, -1
Let b(d) be the third derivative of 15 + 0*d - 10/9*d**3 - 7/24*d**4 - 1/180*d**5 - 2*d**2. Factor b(g).
-(g + 1)*(g + 20)/3
Let l(j) = 22*j**2 - 40. Let n(z) = 9*z**2 - 16. Suppose -18*u = -16*u - 88. Let a = 56 - u. Let x(h) = a*n(h) - 5*l(h). Factor x(d).
-2*(d - 2)*(d + 2)
Let z(x) be the first derivative of x**3/3 + 3*x**2/2 + 5*x - 18. Let c be z(-2). Let -17*p**2 - 3 + c*p - 1 + 18*p**2 = 0. What is p?
-4, 1
Factor 16250/7*y + 125000/7 - 2/7*y**4 + 142/7*y**3 - 450*y**2.
-2*(y - 25)**3*(y + 4)/7
Let r = 84677/18818 + 2/9409. Let q(h) be the first derivative of -r*h**2 - 1/3*h**3 + 10*h + 32. Solve q(o) = 0 for o.
-10, 1
Let -5/3*o**3 - 3400/3*o - 1145/3*o**2 - 2260/3 = 0. What is o?
-226, -2, -1
Suppose 5*g + 8*u = 13*u - 40, 0 = 5*g + u + 58. Let d be 4 + (g - 1)/6. Determine o, given that -27/5*o**3 + 0 + 12/5*o**d - 3/5*o**5 + 18/5*o**4 + 0*o = 0.
0, 1, 4
Let i = 4/19633 + 39254/58899. Determine f so that -i*f - 2/15*f**2 - 2/5 + 2/15*f**3 = 0.
-1, 3
Let y(o) be the third derivative of -o**7/1050 + 13*o**6/600 + 49*o**5/100 + 141*o**4/40 + 63*o**3/5 + 7*o**2 - 16*o. Solve y(v) = 0.
-3, -2, 21
Let m(x) = 3*x**2 + 123*x + 987. Let a be (-5)/((-10)/3) - 10/4. Let g(l) = l + 1. Let z(p) = a*m(p) + 15*g(p). Factor z(d).
-3*(d + 18)**2
Let l(s) = -s**2 - 246*s - 249. Let r(w) = 7*w**2 + 2212*w + 2243. Let o(i) = -19*l(i) - 2*r(i). Suppose o(x) = 0. Calculate x.
-49, -1
Let t = 137642 - 137606. Factor -9604/9 - t*i**4 + 336*i**3 + 5488/3*i - 1176*i**2.
-4*(3*i - 7)**4/9
Suppose -11*p = -94 - 1094. Let u be (p/20 - 5) + 51/60. Factor -3/2 - 17/4*f - u*f**2.
-(f + 3)*(5*f + 2)/4
Let d = -2674177/9 - -297131. Factor 28/9*n + 0 - d*n**2.
-2*n*(n - 14)/9
Let i(n) be the first derivative of n**6/1140 - 2*n**5/285 + 59*n**2/2 + 9. Let k(b) be the second derivative of i(b). Determine s so that k(s) = 0.
0, 4
Factor 2/3*n**3 + 0 - 40*n - 34/3*n**2.
2*n*(n - 20)*(n + 3)/3
Let n(p) be the third derivative of -p**6/600 - p**5/75 + 35*p**2 - p. Let n(d) = 0. Calculate d.
-4, 0
Let k(p) = p**3 - 40*p**2 + 76*p. Let r be k(38). Let u(n) be the first derivative of 0*n**5 + 0*n**3 - 5/6*n**6 + 0*n**2 + 0*n + r*n**4 + 7. Solve u(q) = 0.
0
Let z(c) be the second derivative of 1/60*c**6 - 7/20*c**5 + 61/24*c**4 - 3 + 9*c**2 + 38*c - 7*c**3. Suppose z(o) = 0. Calculate o.
1, 6
Let j(o) be the first derivative of 13 + 1/20*o**5 + 15*o + 1/4*o**3 + 5/24*o**4 + 0*o**2. Let t(b) be the first derivative of j(b). Factor t(p).
p*(p + 1)*(2*p + 3)/2
Suppose 3*c - 5*c = -46. Factor 26*v - 72*v + 22 + c + 27*v - 3*v**2 + 25*v.
-3*(v - 5)*(v + 3)
Let g(b) be the third derivative of b**6/200 + 6*b**5/5 + 237*b**4/40 + 59*b**3/5 + 1263*b**2. What is l in g(l) = 0?
-118, -1
Factor -185 + 639 - 373 - 4*r**2 + 489 + 180*r + 654.
-4*(r - 51)*(r + 6)
Let a be (-304)/57*3/(-48)*1. Determine l, given that -5/3*l + a*l**4 - 5/4*l**2 + 5/12*l**3 - 1/3 = 0.
-2, -1, -1/4, 2
Let w(d) be the third derivative of 0*d**4 - 1/5*d**5 - 4*d - 1/8*d**6 + 0 - 8*d**2 - 1/70*d**7 + 0*d**3. Factor w(i).
-3*i**2*(i + 1)*(i + 4)
Find z, given that -2*z**3 - 1308*z**2 - 2*z**3 + 236*z**2 + 0*z**3 = 0.
-268, 0
Let p(h) be the first derivative of -3*h**4/20 + 2*h**3 + 45*h**2/2 - 1527. Factor p(i).
-3*i*(i - 15)*(i + 5)/5
Solve t**3 + 306/7*t**2 - 88/7*t + 0 = 0.
-44, 0, 2/7
Let o(z) be the second derivative of -3*z**5/20 + 17*z**4/2 + 71*z**3/2 + 54*z**2 - 349*z. Let o(k) = 0. Calculate k.
-1, 36
Suppose 12*t + z + 4 = 14*t, t - 2 = 4*z. Suppose -8 - 9 - 8 + 0*n**t + 6*n + 2*n**2 + 5 = 0. Calculate n.
-5, 2
Let q(y) = -11*y**3 - 9*y**2 + 5*y + 6. Let a(v) = 5*v - 74. Let l be a(14). Let w(j) = 13*j**3 + 10*j**2 - 5*j - 6. Let c(o) = l*q(o) - 3*w(o). Factor c(m).
(m - 1)*(m + 1)*(5*m + 6)
Let b be ((-15)/35)/((-4)/448*24). Let 52/9*y - 8/9*y**b + 28/9 = 0. Calculate y.
-1/2, 7
Let r(u) be the second derivative of -13*u**3 - 1/6*u**4 - 41*u + 0 + 0*u**2. Let r(g) = 0. Calculate g.
-39, 0
Let b(o) = -o**3 + 213*o**2 - 406*o + 12. Let q(g) = g**3 + 2*g**2 - 4*g + 3. Let z(y) = b(y) - 4*q(y). Factor z(k).
-5*k*(k - 39)*(k - 2)
Let n(b) be the third derivative of -b**6/270 + 2*b**4/27 + 7*b**2 - 48. Factor n(a).
-4*a*(a - 2)*(a + 2)/9
Let t(h) be the second derivative of 0*h**2 + 0 + 132*h + 0*h**3 - 1/15*h**6 + 2/5*h**5 + 2*h**4. Factor t(o).
-2*o**2*(o - 6)*(o + 2)
Solve -1122*b + 1021/2*b**2 + 578 + 33*b**3 + 1/2*b**4 = 0 for b.
-34, 1
Let u(r) = -r**2 + 5*r. Let o be u(5). Suppose -4*m + 5*h + 13 + 2 = o, m = -4*h + 9. Factor -m*s**2 - 7*s**3 + s**3 - 5*s + 5*s**4