*l**3/6 + 63*l**2. Solve n(u) = 0.
1, 47
Let a = 54 + -52. Factor -5*k**2 + 22 - 49 + 4*k**a + 29 - k.
-(k - 1)*(k + 2)
Let r(d) be the third derivative of d**5/90 + 19*d**4/18 + 361*d**3/9 + 9*d**2 - 6*d. Factor r(x).
2*(x + 19)**2/3
Let a(v) = -222 - v + v**2 + 222. Let w(x) = 4*x**2 - 7*x + 4. Suppose -4*k + 4 + 8 = 0. Let d(g) = k*a(g) - w(g). Factor d(i).
-(i - 2)**2
Suppose 18*n - 30*n = -24. Let q(m) be the first derivative of -m**3 - 6*m - 9/2*m**n - 7. What is z in q(z) = 0?
-2, -1
Factor 224/3 - 116/3*d + 2/3*d**2.
2*(d - 56)*(d - 2)/3
Let n be (18/48)/((-30)/8 - -4). Let o(h) be the first derivative of n*h**2 + 4 - 6*h - 3/4*h**4 + 2*h**3. Factor o(m).
-3*(m - 2)*(m - 1)*(m + 1)
Let d(b) be the third derivative of -b**6/300 - b**5/10 - 17*b**2 - 2. What is c in d(c) = 0?
-15, 0
Let m(p) be the third derivative of -p**6/30 + 7*p**5/5 - 10*p**4/3 + 24*p**2. Factor m(o).
-4*o*(o - 20)*(o - 1)
Let o(x) be the second derivative of x**7/21 + 7*x**6/15 - 9*x**5/5 + x**4/3 + 17*x**3/3 - 9*x**2 - 48*x. Factor o(d).
2*(d - 1)**3*(d + 1)*(d + 9)
Suppose 32*v = -11*v + 172. Let u(z) be the second derivative of 5*z + 0*z**3 + 1/72*z**v + 0 - 1/12*z**2. Solve u(j) = 0 for j.
-1, 1
Let r(u) = 12*u**4 + 39*u**3 + 360*u**2 + 420*u + 129. Let a(g) = g**4 + 4*g**3 + 36*g**2 + 42*g + 13. Let c(d) = 21*a(d) - 2*r(d). Factor c(l).
-3*(l - 5)*(l + 1)**3
Suppose -10*i + 6 = -4. Find l such that i + 2 + 9*l + 17*l**2 - 14*l**2 - 3*l = 0.
-1
Let n(v) be the second derivative of -v**4/48 - v**3/24 + v**2/4 + 33*v. Find b such that n(b) = 0.
-2, 1
Let p be (-3 - (-176)/58)/(3/(-131)). Let j = -5/29 - p. Find n such that -j*n**3 - 2/3*n**4 - 2/3*n**2 + 0 + 0*n = 0.
-1, 0
Solve -52*a**3 - 24*a**4 - 8*a - 47*a**2 + 207 - 207 - 8*a - 4*a**5 - a**2 = 0 for a.
-2, -1, 0
Suppose 0*p + 4 = -4*p. Let o(g) = -4*g**3 + g**2 - 1. Let h be o(p). Factor -2*y**3 + 2*y**5 + 1 + 4*y**2 - 1 + 0 - 4*y**h.
2*y**2*(y - 2)*(y - 1)*(y + 1)
Let i(k) be the third derivative of 7*k**2 + 3/32*k**4 - 1/20*k**6 + 0*k + 7/120*k**5 + 1/24*k**3 + 0. Factor i(v).
-(v - 1)*(4*v + 1)*(6*v + 1)/4
Let g = -3328 - -3330. Let k = 6 - 3. Factor k*v - 1/2 - 5/2*v**g.
-(v - 1)*(5*v - 1)/2
Let -62/11*m - 60/11 - 2/11*m**2 = 0. Calculate m.
-30, -1
Let j be 3 + (-6)/(-40)*(-1 - 3). Let o = 118/45 - j. Suppose 8/9 - 8/9*q + o*q**2 = 0. What is q?
2
Suppose 0 = 6*m + 458 + 1246. Let o = -284 - m. Let -1/3*l**2 + o + 1/3*l = 0. Calculate l.
0, 1
Let p be (36/(-20))/(3/(-20)). Suppose m - h + 3 = 4, p = 4*m + 4*h. Determine n so that -5*n**3 - 26 + 10*n**m - 10*n**4 + 26 + 5*n**5 = 0.
-1, 0, 1, 2
Find w such that 0 + 4/7*w - 6/7*w**2 - 10/7*w**3 = 0.
-1, 0, 2/5
Let r(o) be the second derivative of o**8/210 - o**7/140 - o**6/36 + o**5/20 + o**4/12 - o**3/3 + 3*o. Let c(q) be the second derivative of r(q). Factor c(v).
2*(v - 1)**2*(v + 1)*(4*v + 1)
Solve -24*u**3 + 1012/5*u**2 + 784/5 + 4/5*u**4 - 336*u = 0.
1, 14
Let z be (-21)/15*150/(-140). Factor 3/4*d**3 - 3/4*d + 3/2 - z*d**2.
3*(d - 2)*(d - 1)*(d + 1)/4
Let r(l) = -l**3 - 7*l**2 + 13*l + 95. Let n be r(-7). Suppose -2/3*h**3 + 0 + 16/21*h**n - 2/7*h**5 + 4/21*h**2 + 0*h = 0. Calculate h.
0, 2/3, 1
Let s(u) be the third derivative of u**8/1008 + u**7/210 - 2*u**6/45 + u**5/15 - 35*u**2. Solve s(w) = 0 for w.
-6, 0, 1, 2
Let k(q) be the first derivative of -26 - 20/3*q**3 - 24*q - 34*q**2. Factor k(x).
-4*(x + 3)*(5*x + 2)
Find j, given that 3*j**2 - 3304*j - 3304*j + 6601*j - 2*j**2 - 8 = 0.
-1, 8
Let j(n) = n**4 - 119*n**3 + 100*n**2 - 9. Let v(y) = -y**4 + 59*y**3 - 50*y**2 + 4. Let x(k) = -4*j(k) - 9*v(k). Factor x(l).
5*l**2*(l - 10)*(l - 1)
Let l(b) be the third derivative of b**7/350 + b**6/4 + 189*b**5/25 + 243*b**4/5 - 11664*b**3/5 + 99*b**2 - 3*b. Factor l(a).
3*(a - 4)*(a + 18)**3/5
Factor -33/7 - 3/7*v**3 + 3/7*v + 33/7*v**2.
-3*(v - 11)*(v - 1)*(v + 1)/7
Let b be (-1)/1*(-33 + 14 - -13). Let r(w) be the second derivative of 0 - 3/4*w**4 + 3/20*w**5 + 0*w**3 - w + b*w**2. Let r(d) = 0. What is d?
-1, 2
Determine j so that 36 - 25*j**5 - 144*j + 8715*j**3 - 11*j**2 + 52*j**2 - 5*j**4 - 8474*j**3 = 0.
-3, -1, 2/5, 3
Let h(p) = 2*p - 8. Let d(k) = 6*k**2 - k - 2. Let c be d(-1). Let a be h(c). Suppose -2 + 16*u**2 - 9*u**3 - u**2 + a + 6*u = 0. What is u?
-1/3, 0, 2
Let k(v) be the third derivative of 0*v - 1/60*v**4 - 18*v**2 - 1/300*v**5 - 1/30*v**3 + 0. Factor k(u).
-(u + 1)**2/5
Let m = -715 - -5015/7. Let p = 1431/35 + -203/5. Factor 4/7 - m*n + 8/7*n**2 - p*n**3.
-2*(n - 2)*(n - 1)**2/7
Let n be (-16)/(-14)*((-259)/(-14) - 15). Let y(p) be the second derivative of 0 - p**3 - 5*p + 3/2*p**2 + 1/4*p**n. Factor y(u).
3*(u - 1)**2
Let l(g) be the second derivative of 2 - 1/8*g**3 - 1/4*g**2 - 37*g + 0*g**4 + 1/80*g**5. Factor l(m).
(m - 2)*(m + 1)**2/4
Factor -28/3*b - 13/3*b**2 - 4/3.
-(b + 2)*(13*b + 2)/3
Let y(d) be the third derivative of d**9/3360 - 11*d**8/4480 - d**7/420 + 7*d**4/24 - 22*d**2. Let r(o) be the second derivative of y(o). What is b in r(b) = 0?
-1/3, 0, 4
Factor -1/6*j**3 - 2/3 + 1/6*j**2 + 2/3*j.
-(j - 2)*(j - 1)*(j + 2)/6
Suppose -10*u + 7*u = -6. Factor -5*m**u + 3*m**2 - 8*m + 4*m**2 + 4*m.
2*m*(m - 2)
Let x(r) be the third derivative of -r**6/72 - r**5/24 - 11*r**3/6 + 4*r**2. Let b(o) be the first derivative of x(o). Factor b(p).
-5*p*(p + 1)
Let m(t) = t**3 + t**2 - t + 1. Let s(z) = -24*z**3 - 30*z**2 + 12*z - 26. Let v(u) = 44*m(u) + 2*s(u). Solve v(b) = 0 for b.
-2, -1
Let 3/8*f**3 - 3 + 9/2*f - 9/4*f**2 = 0. Calculate f.
2
Find t such that 0*t - 2/3*t**4 + 0 + 2*t**3 - 4/3*t**2 = 0.
0, 1, 2
Let q = 31 + -26. Factor -12 + 15*i**2 + 2*i**4 + q*i**3 + 2 + 0*i**4 - 7*i**4 - 5*i.
-5*(i - 2)*(i - 1)*(i + 1)**2
Let q(t) = -t**2 - 5*t + 8. Let p be q(-6). Factor 5*v + 66*v + 5*v**p - v + 245.
5*(v + 7)**2
Let h(q) be the second derivative of -7*q**6/30 + 3*q**5/5 + 5*q**4 + 8*q**3/3 - 3*q + 200. Factor h(k).
-k*(k - 4)*(k + 2)*(7*k + 2)
Let i(p) be the third derivative of -2*p**7/175 - 13*p**6/200 - 3*p**5/100 - 65*p**2. Factor i(b).
-3*b**2*(b + 3)*(4*b + 1)/5
Let o(b) = -b**2 + 576*b - 1 - 576*b. Suppose 4*n = -n + 75. Let u(t) = -18*t**2 + 3*t - 9. Let f(d) = n*o(d) - u(d). Factor f(y).
3*(y - 2)*(y + 1)
Let y(c) = c**3 + 4*c**2 + 2*c - 1. Let x be y(-3). Find u such that 16*u**3 + 8*u**2 - 4*u**3 - 13*u**2 + 4*u**4 + 13*u**x = 0.
-2, -1, 0
Let l(c) be the second derivative of -1/4*c**2 - 5*c + 0 + 1/6*c**3 - 1/24*c**4. Let l(h) = 0. What is h?
1
Let a(s) be the first derivative of 6*s**2 + 12*s - 3/4*s**4 + 6 - s**3. Factor a(g).
-3*(g - 2)*(g + 1)*(g + 2)
Let j(f) be the third derivative of -2/35*f**7 + 11/75*f**5 + 0 + 8/15*f**3 - 3/5*f**4 + 1/120*f**8 + 0*f + 29/300*f**6 - 21*f**2. Let j(n) = 0. What is n?
-1, 2/7, 1, 2
Let o(q) be the third derivative of -q**8/50400 + q**7/1575 - 2*q**6/225 + q**5/5 - 22*q**2. Let m(l) be the third derivative of o(l). Factor m(i).
-2*(i - 4)**2/5
Let p(u) = 4*u**3 - 30*u**2 + 44*u - 18. Let x(f) = -8*f**3 + 61*f**2 - 88*f + 35. Let h(k) = -5*p(k) - 2*x(k). Solve h(c) = 0.
1, 5
Let t(v) be the third derivative of -v**6/360 + v**5/24 + v**4/4 - 13*v**3/6 + 17*v**2. Let a(s) be the first derivative of t(s). Find w, given that a(w) = 0.
-1, 6
Let g(b) be the first derivative of b**5 - 45*b**4/4 - 5*b**3 + 145*b**2/2 - 90*b + 119. Factor g(n).
5*(n - 9)*(n - 1)**2*(n + 2)
Determine g, given that 11745*g + 37*g**2 + g**3 + 809*g**2 + 10600889 + 11824879 + 264602*g - 37775*g = 0.
-282
Suppose -5*w + 28 = 4*n, 2*w - 4 = 3*n - 2. Let c be 6 - (1 + 282/33 + -5). Solve -12/11*f + 18/11*f**4 + 12/11*f**3 - 2/11 - c*f**n = 0.
-1, -1/3, 1
Let m(l) be the first derivative of 2*l**3/3 - 7*l**2 + 24*l - 179. Factor m(u).
2*(u - 4)*(u - 3)
Solve -1 - b**2 + 15 - 3*b - 4 - 6 = 0.
-4, 1
Let c = -40 - -44. Solve -5*b - c*b**2 + 0*b**2 + 5*b**3 - b**2 + 5 = 0 for b.
-1, 1
Let f(q) be the second derivative of q**4/9 - 284*q**3/9 + 10082*q**2/3 + 241*q. Factor f(n).
4*(n - 71)**2/3
Suppose 11*t + 16 = 15*t. Let u(w) be the third derivative of 0 - 2*w**2 + 1/240*w**6 + 1/420*w**7 + 0*w + 0*w**t + 0*w**5 + 0*w**3. Solve u(r) = 0 for r.
-1, 0
Let a(w) be the first derivative of w**6/60 + w**5/50 - 3*w**4/40 - w**3/6 - w**2/10 - 110. Factor a(v).
v*(v - 2)*(v + 1)**3/10
Let l(k) be the third derivati