4, 10
Let y(k) be the second derivative of -5*k**4/48 - 15*k**3/8 - 45*k**2/4 - 13*k. Solve y(s) = 0 for s.
-6, -3
Let b(d) be the second derivative of 3*d**4/2 - 43*d**3/3 - 10*d**2 + 153*d. Find m such that b(m) = 0.
-2/9, 5
Find t, given that 0 + 27/2*t**3 + 33*t**2 + 0*t - 3/2*t**4 = 0.
-2, 0, 11
Let o(i) = i**2 + 21*i - 438. Let g be o(13). Find s, given that 5*s**g + 20/3 - 40/3*s**3 + 20*s - 5*s**2 = 0.
-1, -1/3, 2
Let y(a) = 16*a**5 + 36*a**4 + 70*a**3 - 36*a**2 - 50*a. Let n(v) = -v**5 - 2*v**4 - 3*v**3 + 2*v**2 + v. Let c(k) = -36*n(k) - 2*y(k). Factor c(f).
4*f*(f - 2)**2*(f + 2)**2
Let y(z) = -5*z**5 + 40*z**4 - 11*z**3 - 40*z**2 + 8*z + 8. Let r(d) = -2*d**5 + 13*d**4 - 4*d**3 - 13*d**2 + 3*d + 3. Let o(b) = 8*r(b) - 3*y(b). Factor o(w).
-w**2*(w - 1)*(w + 1)*(w + 16)
Let b(n) be the second derivative of -9/32*n**4 - 19*n - 1/160*n**5 + 0 - 729/16*n**2 - 81/16*n**3. Factor b(t).
-(t + 9)**3/8
Let n be (-30)/(-18) + 2/6. Factor -5*k**n - 70*k + 31 - 88 - 149 - 39.
-5*(k + 7)**2
Suppose -u**3 - 1/2*u**5 + 2*u**4 - 2*u**2 + 0 + 3/2*u = 0. What is u?
-1, 0, 1, 3
Let x(i) be the second derivative of 5*i**7/42 - 19*i**6/6 + 2*i - 4. Factor x(b).
5*b**4*(b - 19)
Let h = -498 + 500. Let r(z) be the third derivative of -1/30*z**6 + 1/15*z**5 - 11*z**h + 0*z + 0*z**4 + 0 + 0*z**3. Factor r(m).
-4*m**2*(m - 1)
Let a(m) be the first derivative of -5*m**4/12 - 5*m**3/2 - 5*m**2 + 8*m + 19. Let k(d) be the first derivative of a(d). Factor k(q).
-5*(q + 1)*(q + 2)
Let u(w) = -39*w**2 + 60*w + 16. Let n(k) = k**3 + 76*k**2 - 118*k - 31. Let a(r) = -4*n(r) - 9*u(r). Solve a(j) = 0 for j.
-1/4, 2, 10
Factor -2*y**4 - 6*y + 6*y**3 + 4*y**4 + 0*y**4 - 88*y**2 + 86*y**2.
2*y*(y - 1)*(y + 1)*(y + 3)
Let q(n) be the first derivative of 5*n**4/4 + 125*n**3/3 + 615*n**2/2 + 855*n - 59. Solve q(c) = 0.
-19, -3
Suppose 3*i - 24 + 6 = 0. Suppose -i = -v - 2. Solve -2/11*x**5 - 6/11*x**v + 4/11*x**2 - 4/11*x**3 + 2/11 + 6/11*x = 0 for x.
-1, 1
Let g(u) = u. Let x(f) = 6*f**3 - f**2 - 6*f + 7. Let m(k) = 5*k**3 - 7*k + 6. Let a(o) = 7*m(o) - 6*x(o). Let p(j) = 3*a(j) + 12*g(j). Factor p(b).
-3*b*(b - 3)**2
Find w such that -90*w**2 - 89*w**2 - 3*w**3 + 179*w**2 + 75*w = 0.
-5, 0, 5
Find y such that 4/3*y**4 + 8/5*y**2 - 46/15*y**3 + 0*y + 0 + 2/15*y**5 = 0.
-12, 0, 1
Let v(t) = -3*t + 6. Suppose -4*a + 10 = a. Let z be v(a). Factor z*o**2 - 5*o**2 + 0*o**2 + 0*o**2 - 10*o.
-5*o*(o + 2)
Let x = -31/12 + 13/4. Let p be ((-10)/95)/(54/(-342)). Factor -x*c + p + 1/6*c**2.
(c - 2)**2/6
Let y be (7046/2032 - 2)/(33/36). Let w = 9/254 + y. Factor -14/11*x**2 - 4/11 + w*x.
-2*(x - 1)*(7*x - 2)/11
Let g be 169/156 + (-1)/(-4). Factor -2/3 + 7/3*k - g*k**3 - 4/3*k**2.
-(k + 2)*(2*k - 1)**2/3
Suppose 5*b - 12*b = 0. Determine l so that b + 2/11*l**4 + 4/11*l**3 + 2/11*l**2 + 0*l = 0.
-1, 0
Let l(o) = o + 5. Let b be l(-4). Let f be b/(10/(-4) + 3). What is s in -4*s**3 - 3*s + 2*s**3 - 15*s + 0*s**2 + 12*s**f = 0?
0, 3
Let w(g) = -g**3 + 5*g**2 + 6*g + 4. Let r be w(6). Suppose 3*i = i + 3*c - 6, -r*c = -5*i - 1. Factor 14*h**i - 11*h**3 - h**2 - 2*h**2.
3*h**2*(h - 1)
Let t(p) be the second derivative of -1/36*p**4 + 1/18*p**3 - 3*p + 0 + 0*p**2. Factor t(j).
-j*(j - 1)/3
Let h(l) be the first derivative of 5*l**6/18 - 3*l**5 + 55*l**4/12 + 145*l**3/9 - 50*l**2 + 140*l/3 + 313. Solve h(n) = 0 for n.
-2, 1, 2, 7
Suppose -8*w + 12*w - 84 = 0. Determine k, given that 6*k**4 + 28*k - w*k**2 + 2*k**4 - 8 - 4*k**5 + 8*k**3 - 11*k**2 = 0.
-2, 1
Let i(k) be the second derivative of -k**7/21 - k**6/15 + 3*k**5/10 + 5*k**4/6 + 2*k**3/3 + 27*k. Factor i(u).
-2*u*(u - 2)*(u + 1)**3
Suppose 0 = 2*x - l - 175, 0*x + 3*x - 265 = 2*l. Suppose -4*c - c + 4*b + x = 0, 4*b = -4*c + 68. Factor 23*m**3 - 4 + 22*m - 12*m**4 + 2*m - 48*m**2 + c*m**3.
-4*(m - 1)**3*(3*m - 1)
Suppose 8*z = -27 + 83. Determine t, given that 4 + t**2 - 26*t + 2 + z*t**2 = 0.
1/4, 3
Let f(i) = -6*i**4 + 10*i**3 + 36*i**2 - 100*i - 128. Let y(m) = m**4 - m**3 + m**2 + m. Let h(p) = f(p) + 4*y(p). Suppose h(r) = 0. What is r?
-4, -1, 4
Factor 4*g**2 - 51*g**3 + 2 + 12*g**3 + 16*g**3 + 5*g + 13*g**3 + 11*g**3.
(g + 1)**2*(g + 2)
Let z be ((-2)/4)/(1646/(-359) - -4). Let r = 1/420 + z. Factor 0*o**2 - 2/7*o**3 + r*o - 4/7.
-2*(o - 1)**2*(o + 2)/7
Suppose 2/5*u**2 + 32/5 + 16/5*u = 0. Calculate u.
-4
Let q(l) = l**5 - 2*l**4 + l**3 + 1. Let n(r) = -11*r**5 + 18*r**4 - r**3 - 9. Let t(d) = -2*n(d) - 18*q(d). Factor t(g).
4*g**3*(g - 2)*(g + 2)
Let q(g) = 12*g - 5. Let r be q(3). Let v = -31 + r. Factor -2/11*w**2 + 2/11*w + v.
-2*w*(w - 1)/11
Let p(i) be the third derivative of -1/40*i**6 - 1/112*i**8 + 0*i**3 + 0 - 8*i**2 - 1/35*i**7 + 0*i + 0*i**5 + 0*i**4. Solve p(b) = 0.
-1, 0
Determine x so that -30*x**2 - 89*x**3 + 24 + 801*x**2 + 51*x**2 - 748*x**3 + 243*x**4 - 252*x = 0.
2/9, 1, 2
Let i(a) be the first derivative of a**6/2 + 2*a**5 + 35*a**4/12 + 5*a**3/3 - 6*a + 30. Let f(q) be the first derivative of i(q). Factor f(r).
5*r*(r + 1)**2*(3*r + 2)
Suppose -4*i + 343*z = 348*z + 19, -4*i + 2*z + 30 = 0. What is o in 35/2*o**3 - 11*o**2 + 2*o + 0 - 25/4*o**i = 0?
0, 2/5, 2
Let w(b) = 49*b**2 + 181*b + 36. Let q(j) = 97*j**2 + 363*j + 73. Let v be 1*1*(2 + -8)*-1. Let s(n) = v*q(n) - 13*w(n). Solve s(p) = 0.
-3, -2/11
Factor 1350*a**2 + 0 - 30*a**3 + 2/9*a**4 - 20250*a.
2*a*(a - 45)**3/9
Let m(n) be the third derivative of -n**11/79200 - n**10/50400 + n**9/50400 - n**5/6 - 28*n**2. Let f(x) be the third derivative of m(x). Factor f(u).
-3*u**3*(u + 1)*(7*u - 2)/5
Let t(r) be the third derivative of -r**7/105 + r**6/2 + 131*r**5/30 + 14*r**4 + 68*r**3/3 - r**2 - 73. Suppose t(l) = 0. What is l?
-2, -1, 34
Let z(r) be the first derivative of -r**7/84 - r**6/16 - r**5/8 - 5*r**4/48 - 13*r**2/2 + 20. Let f(h) be the second derivative of z(h). What is c in f(c) = 0?
-1, 0
Let v(q) be the third derivative of q**5/120 + 7*q**4/96 - q**3/6 - q**2 + 4*q. Factor v(p).
(p + 4)*(2*p - 1)/4
Let f(z) = -6*z**2 - 421*z - 628. Let b(g) = -2*g**2 - 140*g - 212. Let n(a) = 19*b(a) - 6*f(a). Factor n(h).
-2*(h + 2)*(h + 65)
Let i = 8969 - 8967. Let -2/9*b + 1/9*b**i + 0 = 0. Calculate b.
0, 2
Let c(x) = x - 4. Let t be 6*(3 - ((-1)/(-3) - -2)). Let q be c(t). Let 4/7*y**5 + q + 0*y + 2/7*y**2 + 10/7*y**4 + 8/7*y**3 = 0. Calculate y.
-1, -1/2, 0
Let j(t) be the first derivative of -5*t**3/3 - 65*t**2/2 - 150*t - 26. Find m such that j(m) = 0.
-10, -3
Let f(m) = -2*m + 38. Let d be 22 + (-4)/((-16)/(-12)). Let w be f(d). Suppose 0*n + 8/9*n**2 + 8/9*n**3 - 2/3*n**4 + w = 0. What is n?
-2/3, 0, 2
Let t be 3/3 - (4/(-2) + 2). Let d(c) = c + 1. Let u(z) = -z**2 - z. Let f(o) = t*u(o) + 3*d(o). Factor f(y).
-(y - 3)*(y + 1)
Let h(k) be the second derivative of -k**5/30 + 13*k**4/18 + 77*k**3/9 - 363*k**2 - 158*k + 1. Factor h(p).
-2*(p - 11)**2*(p + 9)/3
Let m be ((-26)/65)/(1/(-3)). Determine r so that m*r**2 - 2/5*r**3 - 4/5 - 2/5*r**4 + 2/5*r = 0.
-2, -1, 1
Let u(f) be the third derivative of 0*f**3 + 0*f + 0*f**5 + 1/24*f**4 + 0 - 1/160*f**6 + 1/840*f**7 + 5*f**2. Factor u(c).
c*(c - 2)**2*(c + 1)/4
Let x(i) = -4*i**3 - 3*i**2 + 6*i - 1. Let t(r) = r**3 + r**2 - r. Let l(s) = 6*t(s) + x(s). Solve l(v) = 0.
-1, 1/2
Let f(v) be the first derivative of -v**5/105 - v**4/14 - 4*v**3/21 - 4*v**2 - 7. Let z(y) be the second derivative of f(y). What is w in z(w) = 0?
-2, -1
Find p, given that -7/3*p**2 + 2/3 + 1/2*p**3 + 7/6*p = 0.
-1/3, 1, 4
Let p(q) be the first derivative of 0*q + 1/4*q**2 + 1/6*q**3 + 18. Factor p(u).
u*(u + 1)/2
Factor 4*q + q**2 - 14*q**3 + q - 5*q - 4 + 15*q**3 - 4*q.
(q - 2)*(q + 1)*(q + 2)
Let m(p) = -p**4 - p**3 + p**2 + p + 1. Let j(d) = 6*d**4 + 11*d**3 - 8*d - 4. Let s(b) = -j(b) - 4*m(b). Factor s(a).
-a*(a + 2)**2*(2*a - 1)
Let i(r) be the third derivative of -5*r**7/42 - 3*r**6/8 + r**5/6 + 63*r**2. Factor i(h).
-5*h**2*(h + 2)*(5*h - 1)
Factor -10 + x**2 - 123/5*x.
(x - 25)*(5*x + 2)/5
Let q(v) = v**3 + 2*v**2 + 4*v + 7. Let x be q(-3). Let g be (20 + -13)*(-4)/x. Factor -5*w + w**3 + w**4 - 2*w**g + 2*w + 3*w.
w**2*(w - 1)*(w + 2)
Let o = -1749 - -1749. Let a(h) be the third derivative of 1/6*h**4 + 0 - 10*h**2 + 0*h**3 - 1/30*h**5 + o*h. Let a(b) = 0. What is b?
0, 2
Let l(j) = j**2 + 13*j + 17. Let o be 