s**5 - 4*s**2.
2*s**2*(s - 2)**2*(s - 1)
Let o(v) = -v**3 + 19*v**2 + 2*v - 47. Let h be o(19). Let u be 4 - 21/h - 3. Find c, given that 2/3*c**3 - 2/3*c**4 + 4/3 + 2*c**2 - u*c = 0.
-2, 1
Suppose 5*m = 54 - 14. Let c = 11 - m. Determine q, given that -2*q + 8*q**3 - 3*q**3 - 2*q**c - q = 0.
-1, 0, 1
Let r(b) be the second derivative of 2*b**6/15 - 12*b**5/5 - 13*b**4/3 + 41*b - 1. Factor r(s).
4*s**2*(s - 13)*(s + 1)
Let q be (30/20)/((-2)/(-44)). Suppose 3*h = 105 - q. Factor h*v + 5*v**4 - v**4 - v**4 + 18*v**3 + 36*v**2.
3*v*(v + 2)**3
Factor 10*m + 1/4*m**2 + 100.
(m + 20)**2/4
Suppose -4*g = -t + 21, -6*g = -2*g + 16. Factor -11*f + 50 - t*f + 3*f + 2*f**2 - 7*f.
2*(f - 5)**2
Let p(u) be the first derivative of u**3 + 3*u**2/2 + 51. Factor p(d).
3*d*(d + 1)
Let w(b) be the first derivative of -b**4/54 + 2*b**3/9 - 8*b**2/9 + 20*b + 28. Let x(n) be the first derivative of w(n). Factor x(d).
-2*(d - 4)*(d - 2)/9
Let z(d) = -5*d**2 - 301*d - 54. Let o be z(-60). Factor -o*s + 0 + 15*s**2 - 3/4*s**5 - 27/2*s**3 + 21/4*s**4.
-3*s*(s - 2)**3*(s - 1)/4
Let s = -938/11 - -3763/44. Factor 1/2*q + s*q**2 + 1/4.
(q + 1)**2/4
Let p(t) = -t**2 - 12*t + 16. Let x be p(-13). Suppose 0 = x*g - 7*g + 4*s - 4, 2*g - 10 = -s. Factor 2*m**3 + 1/2*m**4 + 1/2 + g*m**2 + 2*m.
(m + 1)**4/2
Let k(r) be the third derivative of r**6/96 - r**5/48 - 25*r**4/96 - 5*r**3/8 - 323*r**2. Suppose k(u) = 0. What is u?
-1, 3
Suppose -5*a - 3*m = -a - 27, a + 5*m = 28. Let -15 + 4*o**2 - 5*o**a - 33*o**2 - 35*o + 4*o**2 = 0. What is o?
-3, -1
Let t(r) be the first derivative of -r**5/40 + 3*r**4/4 - 9*r**3 - 4*r**2 - 39. Let m(o) be the second derivative of t(o). Factor m(q).
-3*(q - 6)**2/2
Let b(g) = 5*g**4 + 35*g**3 - 44*g**2. Let j(f) = -55*f**4 - 385*f**3 + 485*f**2. Let d(x) = 45*b(x) + 4*j(x). Let d(z) = 0. What is z?
-8, 0, 1
Factor 2 + 13074*b + 6*b**2 - 13068*b + 0*b**3 + 2*b**3.
2*(b + 1)**3
Suppose 2*h = 8, c - 12 = -3*h + h. Suppose 4 - c = -13*y. Factor 2/5*v**2 + y - 2/5*v.
2*v*(v - 1)/5
Let w(m) be the third derivative of m**6/180 - m**5/15 + m**4/3 + 23*m**3/6 + 7*m**2. Let z(h) be the first derivative of w(h). Factor z(t).
2*(t - 2)**2
Let k = -120 + 137. Let d be (-8)/6*(255/(-10))/k. Suppose -1/6*w**4 - 1/3*w**d - 1/2*w**3 + 0 + 0*w = 0. Calculate w.
-2, -1, 0
Let k(w) be the third derivative of w**9/5292 - w**8/2940 - w**7/1470 + w**6/630 + 9*w**3/2 + 7*w**2. Let l(c) be the first derivative of k(c). Factor l(a).
4*a**2*(a - 1)**2*(a + 1)/7
Factor 0 - 145/6*c + 5/6*c**2.
5*c*(c - 29)/6
Let m = -82835/7 - -11834. Let 4/7*i**2 + m*i + 0 = 0. Calculate i.
-3/4, 0
Let z(m) be the third derivative of m**7/70 + m**6/20 - 3*m**5/20 - m**4/2 + 2*m**3 + 522*m**2. Factor z(r).
3*(r - 1)**2*(r + 2)**2
Let q be -8 + 99*12/108. Factor -n + 0 + 2/3*n**q - 5/3*n**2.
n*(n - 3)*(2*n + 1)/3
Let d = 86945 + -16422. Let y = d + -563173/8. Let 90*o - 147/8*o**5 + 819/8*o**4 - y*o**2 - 873/8*o**3 - 27/2 = 0. What is o?
-1, 2/7, 3
Let d(h) be the first derivative of 1/2*h**2 - 3 + 1/2*h**5 + 7/6*h**3 + 1/12*h**6 + 0*h + 9/8*h**4. Find l, given that d(l) = 0.
-2, -1, 0
Suppose 84*i = 76*i. Factor -3/4 + i*o + 3/4*o**2.
3*(o - 1)*(o + 1)/4
Suppose 182 = 2*d + 176. Suppose -1242*j**5 + 1241*j**5 + d*j**2 - 4*j**2 + 2*j**4 - j**2 + j = 0. Calculate j.
-1, 0, 1
Suppose 0 = 2*w - p - 21, -2*w - 2*w = 5*p - 77. Suppose 15*b - 6 = w*b. Factor 0 + 4/5*z**2 + 0*z + 2/5*z**b.
2*z**2*(z + 2)/5
Let n(y) be the third derivative of -y**8/336 - y**7/105 - y**6/360 + y**5/60 - 5*y**3/3 + 12*y**2. Let m(z) be the first derivative of n(z). Factor m(l).
-l*(l + 1)**2*(5*l - 2)
Let a(b) be the third derivative of b**6/780 - b**5/195 - b**4/52 + 108*b**2. Solve a(s) = 0.
-1, 0, 3
Factor 24 + 6258*i**2 - 2883*i**3 + 51*i + 681*i - 864*i**2.
-3*(i - 2)*(31*i + 2)**2
Suppose -4*y**3 - 2*y + y**2 - 2*y**4 + 3*y**3 - 4 + 5*y**2 + 3*y**3 = 0. What is y?
-1, 1, 2
Let c(q) = -q**3 + 7*q**2 + 7*q - 6. Let w be c(8). Let v = w - -18. Solve 28*b**5 - 6*b**4 + 44*b**3 - 4*b**2 - v*b**2 - 58*b**4 = 0.
0, 2/7, 1
Find c, given that 520/3*c + 2/3*c**2 + 33800/3 = 0.
-130
Let o = -10254/7 + 1466. Factor 0*h**2 + o*h - 6/7*h**3 + 0 + 2/7*h**4.
2*h*(h - 2)**2*(h + 1)/7
Let i be ((-12)/(-3))/((-6)/(-15)). Factor 5*l**5 + 9*l**4 - i*l + 30*l**2 - 13*l**4 - 11*l**4 + 5*l**3 - 15*l**2.
5*l*(l - 2)*(l - 1)**2*(l + 1)
Let m(p) be the first derivative of -p**4/2 - 28*p**3/3 - 60*p**2 - 144*p - 530. Factor m(k).
-2*(k + 2)*(k + 6)**2
Factor 28*c - 2/11*c**2 - 1078.
-2*(c - 77)**2/11
Let c(h) = 20*h**4 + 15*h**3 - 15*h**2 + 20*h + 15. Let j(s) = -s**4 - s**3 - 2*s - 1. Let y(q) = c(q) + 15*j(q). Factor y(k).
5*k*(k - 2)*(k + 1)**2
Let a(z) be the second derivative of -z**10/136080 + z**9/34020 - z**8/30240 - z**4/6 - 7*z. Let n(s) be the third derivative of a(s). Factor n(d).
-2*d**3*(d - 1)**2/9
Suppose l = 7 + 7. Let x(y) = y**3 + 4*y**2 - 6*y - 3. Let j be x(-5). Solve 0 - 2 - 7*w - 2*w**4 + l*w**3 - 7*w**5 - w**j + 5*w**2 = 0 for w.
-1, -2/7, 1
Let c(p) be the second derivative of p**4/18 - 2*p**3/3 + 2*p + 25. Factor c(s).
2*s*(s - 6)/3
Let h(w) be the second derivative of -w**6/48 - w**5/6 - 5*w**4/16 + 23*w**2/2 - 13*w. Let g(y) be the first derivative of h(y). Determine r so that g(r) = 0.
-3, -1, 0
Let p be -1 + 5 + -1 - (-9)/4. Let g = p - 101/20. Solve -g*j**2 - 2/5 + 3/5*j = 0.
1, 2
Factor 2/3*r**4 - 16/3*r + 8*r**2 + 0 - 4*r**3.
2*r*(r - 2)**3/3
Let k(s) = -s**3 - 68*s**2 - 1074*s + 2461. Let y(v) = -v - 1. Let j(x) = 2*k(x) + 22*y(x). Suppose j(a) = 0. What is a?
-35, 2
Let y be (0 + -1)*(-11 - -11). Suppose -l + y - 1 = -2*d, -5*d + 16 = 2*l. Factor 2/7*h**l - 2/7*h**4 + 0 - 2/7*h + 2/7*h**2.
-2*h*(h - 1)**2*(h + 1)/7
Let o(p) be the first derivative of 0*p - 2*p**3 - 3/4*p**4 + 0*p**2 + 50. Factor o(m).
-3*m**2*(m + 2)
Let a(y) be the third derivative of y**7/2310 - 3*y**6/220 + 9*y**5/55 - 9*y**4/11 + 2*y**2 - 181. Factor a(g).
g*(g - 6)**3/11
Let u(a) be the second derivative of -a**9/7056 + a**7/1960 - 7*a**3/2 + 16*a. Let j(r) be the second derivative of u(r). Factor j(x).
-3*x**3*(x - 1)*(x + 1)/7
Let t = -24434 - -195475/8. Let -t + 3/8*a**2 - 1/8*a + 1/8*a**3 = 0. Calculate a.
-3, -1, 1
Let v(x) = x**3 - 2*x**2 - 5*x + 8. Let r be v(3). Determine t, given that 64 + r*t**5 + 151*t + 73*t + 176*t**3 + 52*t**4 + 288*t**2 + 4*t**5 = 0.
-2, -2/3
Factor 0 - 96/5*c**2 - 4/5*c**3 + 20*c.
-4*c*(c - 1)*(c + 25)/5
Let j be -1 + 3 + (-7 - -8). Factor 2*h + 11*h + 12*h**2 + 2*h + j + 0.
3*(h + 1)*(4*h + 1)
Let l(j) be the third derivative of j**8/6720 - j**7/840 + j**6/360 + 19*j**4/24 - 14*j**2. Let d(c) be the second derivative of l(c). Factor d(a).
a*(a - 2)*(a - 1)
Let x(q) = q**3 + 6*q**2 + 7*q - 1. Let z be x(-5). Let j = z - -14. Factor -3 - 2*n**3 - 3*n**j + 3*n**2 - 3*n + n**3 + 7*n**3.
3*(n - 1)*(n + 1)**2
Let j(u) be the third derivative of u**6/540 - 7*u**5/270 - 7*u**4/36 + u**3 + 175*u**2. Factor j(v).
2*(v - 9)*(v - 1)*(v + 3)/9
Let s(v) be the first derivative of 3*v**5/5 + 6*v**4 - 17. Factor s(h).
3*h**3*(h + 8)
Let u(h) be the first derivative of -h**6/3 - 6*h**5/5 + 7*h**4/2 + 22*h**3/3 - 6*h**2 - 16*h + 141. Solve u(m) = 0 for m.
-4, -1, 1, 2
Suppose 5*d = -77 + 107, -2*d = -2*m + 4. Factor m*n - 8/3 - 10/3*n**2.
-2*(n - 2)*(5*n - 2)/3
Let r(i) = -4*i - 14. Let d be r(-5). Suppose 0*j - d*j**2 + 63*j**3 + 124*j**4 - 181*j**4 + 0*j = 0. Calculate j.
0, 2/19, 1
Let l(d) be the third derivative of -d**4/24 + 7*d**3/6 + d**2. Let t be l(5). Factor 4 - 5*p + p + 8*p + p**t + 0.
(p + 2)**2
Let u(h) be the first derivative of -h**7/630 + h**6/120 - h**5/60 + h**4/72 + 4*h**3/3 - 4. Let w(f) be the third derivative of u(f). What is d in w(d) = 0?
1/4, 1
Let r be (8/(-48))/((-2)/6). Let i = 33/28 + -19/28. Find f, given that i*f**3 - r*f**4 + 1/2*f**2 - 1/2*f + 0 = 0.
-1, 0, 1
Factor 0*v - 3*v**4 + 72/5*v**3 + 0 - 108/5*v**2 + 1/5*v**5.
v**2*(v - 6)**2*(v - 3)/5
Let h(w) be the second derivative of -w**4/72 + 3*w**3/4 + 7*w**2/3 - 107*w. Find s such that h(s) = 0.
-1, 28
Let t(i) be the first derivative of i**3/3 - i**2 + 3*i - 4. Let m be t(2). Determine y, given that -4*y**2 - 4*y**m + 0*y**2 + 4*y**4 - 4*y**2 = 0.
-1, 0, 2
Let d(i) = -12 - i**3 - i**3 + 8*i**2 + 2*i + i**3. Let g be d(8). Factor