54*x**3 + 21*x**2 + 24*x. Let s(h) = -7*h**4 + 11*h**3 - 4*h**2 - 5*h. Let a(w) = -5*c(w) - 24*s(w). Factor a(y).
3*y**2*(y - 1)*(y + 3)
Suppose 0 = -37*p + 35*p + 12. Let q be (1 - -3 - p) + 2. Solve 0*l - 3/7*l**3 + 3/7*l**5 - 6/7*l**4 + 6/7*l**2 + q = 0.
-1, 0, 1, 2
Let o = -53 + 61. Let n(i) be the first derivative of -o + 0*i + 9/13*i**2 - 16/13*i**3 + 11/13*i**4 - 16/65*i**5 + 1/39*i**6. Factor n(x).
2*x*(x - 3)**2*(x - 1)**2/13
Suppose -4*n**2 - 591*n + 150*n + 93*n + 312 + 150*n + 106*n = 0. Calculate n.
-26, 3
Suppose -48*y - 13 + 33 = -76. Suppose 4/3*a - 2*a**y + 0*a**3 + 2/3*a**4 + 0 = 0. What is a?
-2, 0, 1
Factor 0*m**5 + 1947*m**4 + 3*m**5 - 1929*m**4 + 39*m**3 + 12*m + 36*m**2.
3*m*(m + 1)**2*(m + 2)**2
Suppose -4*t - 375 + 389 = -c, 14 = -2*t - 3*c. Suppose -63/4*d**t - 51/4*d**3 - 15/4*d**4 - 33/4*d - 3/2 = 0. Calculate d.
-1, -2/5
Let l = 12421 + -12421. Find v, given that l + 3/4*v**3 + 0*v - 9/2*v**2 = 0.
0, 6
Let x(i) be the third derivative of -i**6/120 - 3*i**5/10 - 4*i**4/3 + 11*i**2. Find m such that x(m) = 0.
-16, -2, 0
Suppose 0 = -46*i + 240 - 10. Let l(k) be the second derivative of -4*k + 0 + 1/39*k**4 - 7/195*k**6 + 0*k**3 - 1/26*k**i + 0*k**2. Find s such that l(s) = 0.
-1, 0, 2/7
Suppose -5*w = -2*m - 112, 4*w + 3*m = 69 + 39. Let -12*c**5 - 34*c**2 + w*c**3 + 4*c**2 + 8 + 15*c**4 - 4 - 12*c + 11 = 0. What is c?
-1, 1, 5/4
Suppose -11 = -3*x + 370. Let r = 127 - x. Factor -2/7*d**2 + 4/7*d + r.
-2*d*(d - 2)/7
Let x(i) be the first derivative of -i**3/12 + i**2/2 - 138. Factor x(q).
-q*(q - 4)/4
Let l(d) be the second derivative of d**5/50 - d**4/5 + d**3/5 + 2*d**2 + 97*d. Suppose l(z) = 0. What is z?
-1, 2, 5
Let f(h) be the second derivative of -h**8/224 + h**7/70 - h**6/80 - 3*h**2/2 + 6*h. Let y(q) be the first derivative of f(q). Factor y(b).
-3*b**3*(b - 1)**2/2
Factor -10 - 5*o - 19*o - o**2 - o**2 - 11 - o**2.
-3*(o + 1)*(o + 7)
Let j(r) be the first derivative of -5*r**2 - 6*r**3 + 4*r**3 + r**2 + 8 - r - r. Factor j(y).
-2*(y + 1)*(3*y + 1)
Let w(q) = -20*q - 837. Let r be w(-42). Suppose -6/7*n**r + 0 - 2/7*n**5 + 6/7*n**4 + 0*n + 2/7*n**2 = 0. What is n?
0, 1
Let q(n) be the second derivative of 5*n**8/336 + 2*n**7/21 + n**6/6 - 7*n**2/2 - 22*n. Let c(h) be the first derivative of q(h). Factor c(f).
5*f**3*(f + 2)**2
Let 24 + 68/3*a - 22/3*a**2 - 17/3*a**3 + 1/3*a**4 = 0. What is a?
-2, -1, 2, 18
Let u(i) be the second derivative of 4*i**4/3 + i**3/3 - 229*i. Factor u(p).
2*p*(8*p + 1)
Factor 102*j - 75*j + 769*j**3 + 81 - 772*j**3 - 9*j**2.
-3*(j - 3)*(j + 3)**2
Let x(k) = -k + 71 - 71. Let y(p) = 9*p**4 - 24*p**3 + 21*p**2 - 5*p. Let u(l) = x(l) + y(l). Factor u(j).
3*j*(j - 1)**2*(3*j - 2)
Let t(g) be the first derivative of 2*g**7/105 + g**6/10 + g**5/15 - g**4/2 - 4*g**3/3 + 2*g**2 + 5. Let s(d) be the second derivative of t(d). Factor s(n).
4*(n - 1)*(n + 1)**2*(n + 2)
Let f(z) be the first derivative of -z**4/60 + 6*z - 3. Let w(b) be the first derivative of f(b). Solve w(r) = 0.
0
Let c(o) be the third derivative of -o**7/525 + 3*o**6/100 + o**5/15 + 140*o**2. Let c(f) = 0. What is f?
-1, 0, 10
Let p = 28 - 6. Suppose -2 = 5*u - 3*t, -2*t - p = -u - 7*t. Suppose -u*f**3 + 0*f**4 + 8*f**5 + 9*f**4 - 3*f**4 + 0*f**3 = 0. Calculate f.
-1, 0, 1/4
Let t = -51823 + 51828. Factor t - 1/5*p**3 - 7*p + 11/5*p**2.
-(p - 5)**2*(p - 1)/5
Let j be ((-2)/6)/(2/(-18)). Factor 4*r**j - 2*r**4 + 1220*r**2 - 1220*r**2.
-2*r**3*(r - 2)
Let q(z) be the third derivative of 0*z - 3/80*z**6 + 3/16*z**4 - 19*z**2 + 0 + 1/280*z**7 + 1/10*z**5 - 9/8*z**3. Find g such that q(g) = 0.
-1, 1, 3
Let z(q) be the first derivative of -q**6/2 - 6*q**5/5 - 313. What is p in z(p) = 0?
-2, 0
Let s be (2 - 3)*(1 + -3). Determine f, given that -2*f**2 + 2*f**3 - 2*f**2 - f**4 - 3 + s + 6*f**2 - f - f**5 = 0.
-1, 1
Let c be (-1)/((-5)/(-4)) + (-279)/5. Let g = c - -57. Factor -g*h**5 + 4/5*h**3 + 0*h**4 + 0 - 2/5*h + 0*h**2.
-2*h*(h - 1)**2*(h + 1)**2/5
Let g(v) = 28*v**5 - 199*v**4 + 288*v**3 - 115*v**2 - 64*v. Let n(z) = 14*z**5 - 98*z**4 + 144*z**3 - 58*z**2 - 32*z. Let c(y) = -6*g(y) + 13*n(y). Factor c(m).
2*m*(m - 2)**3*(7*m + 2)
Solve 16*u**2 - 16*u**4 + 69*u**4 + 10*u**5 - 28*u**3 - 41*u**4 - 46*u**4 = 0 for u.
-1, 0, 2/5, 4
Let f(w) = -w**2 + 5*w - 3. Let i be 117/45 - 2/(-5). Let k be f(i). Factor -k*a**4 + 2*a**4 - 6*a**2 + a**4 - 9*a**3 - 3*a**4.
-3*a**2*(a + 1)*(a + 2)
Suppose 3*n + 0 = -m + 122, 0 = 3*n - 5*m - 128. Factor 23*f**3 + 19*f**3 + f**4 - n*f**3.
f**3*(f + 1)
Let t(j) be the first derivative of 4/21*j**6 + 0*j + 19/7*j**4 + 10/7*j**5 + 16/21*j**3 + 0*j**2 - 21. What is x in t(x) = 0?
-4, -2, -1/4, 0
Let x(p) be the first derivative of p**4 + 32*p**3/3 - 2*p**2 - 32*p + 18. Factor x(l).
4*(l - 1)*(l + 1)*(l + 8)
Let x(o) be the second derivative of -o**7/126 + o**6/5 - 23*o**5/30 + o**4/3 + 47*o**3/18 - 5*o**2 - 89*o - 2. What is m in x(m) = 0?
-1, 1, 2, 15
Let x(c) be the second derivative of 15/28*c**4 - 19/70*c**6 + 3/49*c**7 - 8/7*c**3 + 6/7*c**2 - 12*c + 3/14*c**5 + 0. What is t in x(t) = 0?
-1, 1/2, 2/3, 1, 2
Determine l so that 0*l + 12/5*l**2 + 28/5*l**3 + 0 + 4*l**4 + 4/5*l**5 = 0.
-3, -1, 0
Let o = -38514 - -38517. Solve -1536/11*n - 96/11*n**2 - 8192/11 - 2/11*n**o = 0 for n.
-16
Suppose g = -3*k + 2 - 0, -10 = -5*g. Let m(u) = -7*u - 54. Let y be m(-8). Factor 0*d - 3/7*d**3 + k - 6/7*d**y.
-3*d**2*(d + 2)/7
Let x(g) be the third derivative of -g**7/630 + g**6/90 - g**5/36 + g**4/36 + 2*g**2. Factor x(b).
-b*(b - 2)*(b - 1)**2/3
Suppose 0 = -4*z - 5*m + 1 - 6, 5*z - 5*m - 50 = 0. Let p be (3/2)/((-6)/(-32)). Factor -12*y**3 - 3*y**2 - 5*y**2 - y**5 - p*y**4 + 12*y - y**z - 14*y.
-2*y*(y + 1)**4
Let s(l) = 4*l**2 - 20*l - 58. Let p be s(-3). Let d be 36/252 + p/126. Suppose 2/9*r**2 - 2/3 + d*r = 0. Calculate r.
-3, 1
Let t be (-14)/8 - -2 - 3270/24. Let z = t + 954/7. Factor z*o + 0 + 8/7*o**2.
2*o*(4*o + 1)/7
Factor -158*n**2 + 82*n**2 + 73*n**2 + 111*n.
-3*n*(n - 37)
Let u(f) be the third derivative of -f**5/12 + 175*f**4/6 - 12250*f**3/3 - 24*f**2 + 4*f. Find m such that u(m) = 0.
70
Let d(y) be the first derivative of -2*y**6 - 136*y**5/25 - 14*y**4/5 + 16*y**3/5 + 2*y**2 - 8*y/5 + 187. Determine x so that d(x) = 0.
-1, 1/3, 2/5
Let f(p) be the first derivative of p**5/330 + p**4/132 - 2*p**3/33 + 3*p**2/2 + 11. Let o(q) be the second derivative of f(q). Suppose o(k) = 0. What is k?
-2, 1
Suppose 6*y = y - i + 27, -4*i = -y + 18. Let h be ((-10)/y)/((-4)/12). Factor -2/7*q**h + 0 + 0*q + 0*q**4 + 0*q**2 + 2/7*q**3.
-2*q**3*(q - 1)*(q + 1)/7
Factor 1296*x - 9*x**3 + 46*x**3 + 7*x**3 + 8*x**3 + 184 + 46*x**3 + 2310*x**2.
2*(x + 23)*(7*x + 2)**2
Suppose 0 = 4*c + 39*u - 37*u - 2, -4*u + 4 = 3*c. Suppose 18 = 4*a - 3*j, a + 4 = 5*a + 4*j. Factor -39/2*d**a - 3/2*d**5 - 18*d**2 - 9*d**4 + c - 6*d.
-3*d*(d + 1)**2*(d + 2)**2/2
Let u(b) be the first derivative of 2*b**2 + 13*b - 51. Let n be u(-3). Factor -7/4*w**2 + n + 3*w.
-(w - 2)*(7*w + 2)/4
Suppose -c = -3*m, 5*c - 11 = 2*c - 2*m. Let g = -208 - -212. Factor 10*b**3 - 3*b**4 - 10*b**3 + c*b**2 + 0*b**g.
-3*b**2*(b - 1)*(b + 1)
Let d(p) be the third derivative of 4*p**2 - 7/30*p**4 + 19/100*p**5 + 2/15*p**3 + 0 + 0*p - 3/50*p**6. Let d(k) = 0. Calculate k.
1/4, 2/3
Let h(x) be the second derivative of x**9/136080 - x**8/30240 + x**7/22680 - x**4/2 - 13*x. Let f(d) be the third derivative of h(d). Factor f(t).
t**2*(t - 1)**2/9
Let u be (-18)/(-12) - 1/(-2). Factor -12 - 3*y + 46 - y**u - 24.
-(y - 2)*(y + 5)
Let v(j) = -j**2 + 14*j - 40. Let i be v(5). Let n(o) be the first derivative of i + 0*o - 1/3*o**3 - 3/2*o**2. Factor n(h).
-h*(h + 3)
Let k(a) be the second derivative of -a**9/1512 + a**8/210 - a**7/84 + a**6/90 - a**3 + a. Let s(j) be the second derivative of k(j). Let s(h) = 0. Calculate h.
0, 1, 2
Suppose 92*i = 38*i. Solve -1/4*q**2 + i + 0*q = 0.
0
Find c, given that -864*c - 6*c**4 + 665*c**2 + 24644 + 599*c**2 + 968*c**3 - 1086*c**4 - 24516 + 196*c**5 = 0.
-1, 2/7, 2, 4
Let d(q) = -q + 16. Let h be d(0). Suppose -1392*s**4 - 568*s**4 + 200*s - 940*s**2 + 540*s**5 - h + 146*s**5 + 2030*s**3 = 0. What is s?
2/7, 1
Find t such that -235*t**3 + 15*t - 42*t**2 - 3*t**5 - 6*t**4 - 243*t**3 + 514*t**3 = 0.
-5, 0, 1
Let m(z) be the 