 3*m(a). Factor s(l).
3*l*(l + 5)
Let l(u) be the third derivative of u**6/60 - 47*u**5/90 + 44*u**4/9 + 64*u**3/9 - 8*u**2 + 18. Let l(p) = 0. What is p?
-1/3, 8
Let q(k) be the third derivative of k**6/100 + 8*k**5/225 - 31*k**4/180 + 2*k**3/15 - 7*k**2. Let q(p) = 0. What is p?
-3, 2/9, 1
Let b = -17 + 17. Suppose -2*s + 56 = -b*s. Let -39*t**5 + 68*t**3 - 32*t - 11*t**4 - 16 + s*t**2 + 3*t**5 - 10*t**4 + 9*t**4 = 0. Calculate t.
-1, -2/3, 1
Suppose 3*s - 2*s = -4*g - 16, -g - 21 = -4*s. Let d(c) be the second derivative of 7/2*c**3 - 3*c**2 - 2*c - 5/4*c**s + 0. Factor d(r).
-3*(r - 1)*(5*r - 2)
Let a be (-3 - -3)*(-18)/(-36). Let j = 247/12 + -77/4. Factor a + 16/3*v + j*v**2.
4*v*(v + 4)/3
Let n(z) be the first derivative of -z**6/210 - z**5/105 + z**4/21 - 5*z**2 - 8. Let i(y) be the second derivative of n(y). Factor i(a).
-4*a*(a - 1)*(a + 2)/7
Factor 3/5*t**2 - 6*t - 33/5.
3*(t - 11)*(t + 1)/5
Let d = 42031 + -42028. Solve -12/5*m**4 - 14/5*m**d + 16/5*m - 2/5*m**5 + 0 + 12/5*m**2 = 0.
-4, -2, -1, 0, 1
Let o be (-20)/(-11) + (-6)/77*(-448)/192. Factor -16/11*g + 24/11 + 2/11*g**o.
2*(g - 6)*(g - 2)/11
Let w(y) be the second derivative of -y**4/2 + y**3/2 + 25*y**2/2 - 27*y. Let k(h) = 5*h**2 - 4*h - 25. Let t(s) = -7*k(s) - 6*w(s). Factor t(p).
(p + 5)**2
Suppose 4/5*f**3 - 92/15*f**2 + 6/5*f**4 - 18/5 - 2/15*f**5 - 46/5*f = 0. Calculate f.
-1, 3, 9
Suppose 201*g - 192*g - 27 = 0. Determine d so that -4/3 - 10/3*d - 2/3*d**g - 8/3*d**2 = 0.
-2, -1
Factor -d**3 + 21*d - 27*d + 10*d**2 + 3*d**3 + 10*d**2 - 16*d.
2*d*(d - 1)*(d + 11)
Let a(s) be the third derivative of -s**8/112 - 4*s**7/105 + s**5/6 + s**4/8 - s**3/3 - 22*s**2 + 2. Solve a(n) = 0.
-2, -1, 1/3, 1
Let u(d) be the first derivative of 2/5*d**5 - 1/2*d**4 + 13*d**2 - 12*d - 14/3*d**3 - 7. Factor u(a).
2*(a - 2)*(a - 1)**2*(a + 3)
Let m(n) = 35*n**2 - 4520*n - 15. Let o(b) = 5*b**2 - 646*b - 2. Let a(u) = 2*m(u) - 15*o(u). Factor a(x).
-5*x*(x - 130)
Factor -3/5*c**3 + 6/5*c**2 + 72/5 + 12*c.
-3*(c - 6)*(c + 2)**2/5
Let j(q) be the second derivative of q**6/165 - 3*q**5/55 + 3*q**4/22 - 4*q**3/33 - 39*q + 3. Factor j(o).
2*o*(o - 4)*(o - 1)**2/11
Factor 4/7*k**3 + 32/7 - 4/7*k - 32/7*k**2.
4*(k - 8)*(k - 1)*(k + 1)/7
Let s(j) be the third derivative of -j**5/160 - 37*j**4/64 - 4*j**2 - 2. Find p such that s(p) = 0.
-37, 0
Let i(x) be the third derivative of 0*x**6 + 0*x - 1/3*x**4 - 1/5*x**5 + 2/105*x**7 + 0*x**3 + 0 - 32*x**2. Let i(o) = 0. What is o?
-1, 0, 2
Let g = 6 - 3. Let c be 20/16*64/40. Factor -44*w**2 - c*w - 16*w**4 - 6*w - 33*w**3 - 19*w**g.
-4*w*(w + 1)*(w + 2)*(4*w + 1)
Let v(g) = g**4 - 2*g**3 + g + 1. Let y(s) = -4*s**4 + 6*s**3 + 10*s**2 - 3*s - 12. Let p(l) = 3*v(l) + y(l). Solve p(f) = 0 for f.
-3, -1, 1, 3
Let u = 657 - 625. Let o(s) be the second derivative of 0 - 7*s - 1/3*s**4 - u*s**2 + 16/3*s**3. Factor o(i).
-4*(i - 4)**2
Solve 1/3*h**4 + 0*h - 4/3*h**2 + 0 - h**3 = 0 for h.
-1, 0, 4
Let s be 20/35 + 692/896. Let x = s - -5/32. Factor x*o**3 - 3/2*o**2 + 3/2 - 3/2*o.
3*(o - 1)**2*(o + 1)/2
Let a(d) be the third derivative of -1/165*d**5 - 1/1320*d**6 + 0 + 16*d**2 + 0*d - 1/66*d**4 + 0*d**3. Determine u, given that a(u) = 0.
-2, 0
Let g(u) be the first derivative of u**5/240 + u**4/24 + u**3/6 + 9*u**2/2 - 13. Let k(b) be the second derivative of g(b). Solve k(i) = 0 for i.
-2
Let f(k) be the third derivative of -k**7/1365 - k**6/195 - k**5/78 - k**4/78 - 103*k**2. Suppose f(w) = 0. Calculate w.
-2, -1, 0
Let m(o) be the first derivative of -2*o**3/15 - 88*o**2/5 - 174*o/5 + 938. Factor m(p).
-2*(p + 1)*(p + 87)/5
Let w = -95 + 95. What is s in w + 0*s**2 + 0*s - 2/9*s**3 - 2/9*s**4 = 0?
-1, 0
Solve 5 + 110*o**3 - 48*o**4 - 160*o + 3*o**5 + 2*o**5 + 3*o**4 - 5 = 0 for o.
-1, 0, 2, 4
Solve 3/7*f**3 - 69/7*f**2 - 363/7 + 429/7*f = 0.
1, 11
Let p = -503 - -506. Let z(r) be the first derivative of r**2 + 2/7*r**3 - p - 12/7*r. Solve z(n) = 0 for n.
-3, 2/3
Find f such that -15*f**2 + 87*f - 18*f**2 - 3*f**3 - 20*f**2 - 45 + 28*f**2 - 14*f**2 = 0.
-15, 1
Factor -3/2*i**2 + 3/2*i + 45.
-3*(i - 6)*(i + 5)/2
Let n(u) be the second derivative of 1/60*u**5 + 8*u + 0 + 3/2*u**2 - 1/6*u**4 + 0*u**3. Let t(s) be the first derivative of n(s). Factor t(v).
v*(v - 4)
Let g(c) be the second derivative of -43/55*c**5 + 0 - 1/231*c**7 - 34*c + 116/33*c**4 - 96/11*c**3 + 1/11*c**6 + 128/11*c**2. Find x such that g(x) = 0.
1, 2, 4
Let u(h) be the third derivative of h**5/12 - 125*h**3/6 + 51*h**2 - 1. Let u(b) = 0. Calculate b.
-5, 5
Let t(l) be the third derivative of 0 - 11*l**2 + 1/150*l**6 + 0*l**4 - 1/840*l**8 + 0*l**3 + 0*l**5 + 0*l - 1/525*l**7. Factor t(m).
-2*m**3*(m - 1)*(m + 2)/5
Let v(m) be the first derivative of -m**7/168 - m**6/8 - 9*m**5/8 - 45*m**4/8 + 6*m**3 - 8. Let b(s) be the third derivative of v(s). Find w such that b(w) = 0.
-3
Let a(r) be the first derivative of r**5/40 - 3*r**4/32 + r**3/12 - 267. Factor a(b).
b**2*(b - 2)*(b - 1)/8
Let h(n) be the second derivative of -n**4/42 - 4*n**3/21 - 4*n**2/7 + 2*n - 1. Factor h(c).
-2*(c + 2)**2/7
Let q(i) be the third derivative of -i**10/7560 + i**9/1260 - 2*i**7/315 + 7*i**4/6 + 6*i**2. Let u(g) be the second derivative of q(g). Factor u(c).
-4*c**2*(c - 2)**2*(c + 1)
Let z(h) be the third derivative of -h**6/2700 - h**5/75 - h**4/5 + 4*h**3/3 + 7*h**2 - 3. Let j(t) be the first derivative of z(t). What is i in j(i) = 0?
-6
Let u(t) be the third derivative of -t**8/168 + t**6/60 + 182*t**2 + 1. Factor u(i).
-2*i**3*(i - 1)*(i + 1)
Suppose -670 + 226 = 4*k - 5*a, 0 = -k + 5*a - 126. Let q = -106 - k. Suppose 9/4*c - 3/4*c**3 + q*c**2 + 3/2 = 0. Calculate c.
-1, 2
Let u(g) be the first derivative of 18 - 1/3*g**3 - 1/12*g**4 + 0*g - 1/3*g**2. Factor u(v).
-v*(v + 1)*(v + 2)/3
Let x(m) = 15*m**3 + 25*m**2 + 50*m - 20. Let q(c) = -c**3 + c + 1. Let j(r) = 20*q(r) + x(r). Suppose j(n) = 0. What is n?
-2, 0, 7
Suppose 4*y - 57 = -15*y. Let r(m) be the first derivative of -1/15*m**y + 1/5*m**2 - 4 + 3/5*m. Factor r(t).
-(t - 3)*(t + 1)/5
Suppose -1 - 2 = -t. Let p be (-14)/(-4) + t/(-6). Factor -9*n**p - 2*n**2 + 3*n**3 + n**2 + 4*n**3 - n**4.
-n**2*(n + 1)**2
Let l(z) = -2*z**4 - 16*z**3 - 47*z**2 - 51*z - 18. Let f(k) = -k**2 - k. Let p(j) = -6*f(j) + 2*l(j). Suppose p(t) = 0. What is t?
-3, -1
Let b = 2373 - 2373. Find v such that 5/6*v**4 + 10/3*v**3 + 0*v + b + 10/3*v**2 = 0.
-2, 0
Let m(k) = 6*k**3 - 3*k**2 - 73*k + 73. Let l be m(1). Suppose -15 - 12*q**2 + 3/2*q**l - 57/2*q = 0. Calculate q.
-1, 10
Let w(n) be the second derivative of 0 + 4*n - 10/3*n**3 + 7/3*n**4 - 4*n**2. What is i in w(i) = 0?
-2/7, 1
Factor 14/11*g**4 + 2138/11*g**3 + 0 + 0*g - 612/11*g**2.
2*g**2*(g + 153)*(7*g - 2)/11
Let j = -120 + 115. Let s(b) = 3*b**4 + 5*b**3 - 19*b**2 + b + 5. Let o(x) = -2*x**4 - 2*x**3 + 10*x**2 - 3. Let w(i) = j*o(i) - 3*s(i). Factor w(y).
y*(y - 3)*(y - 1)**2
Let n be 109/22 + 582/1067. Factor -3/2 - 7/6*f**2 + 49/6*f**3 - n*f.
(f - 1)*(7*f + 3)**2/6
Let q(z) be the third derivative of z**7/210 - z**5/20 + z**4/12 + 26*z**2 + z. Factor q(g).
g*(g - 1)**2*(g + 2)
Let n(g) be the first derivative of -g**5/5 - 5*g**4/4 - 3*g**3 - 7*g**2/2 - 2*g + 43. What is r in n(r) = 0?
-2, -1
Let u = -15 - -18. Let q(k) be the first derivative of -k**u - 5 + 11 + 0*k**2 - 3*k + 3*k**2. Factor q(j).
-3*(j - 1)**2
Let w = 4105/11 + -373. Suppose -3*l = -3*r + r + 6, -5*l - 12 = -4*r. Let 2/11*a**4 - w*a**2 - 2/11*a**r + 2/11*a + 0 = 0. Calculate a.
-1, 0, 1
Let f(r) = 9*r**3 + 136*r**2 + 1265*r - 5297. Let w(y) = 4*y**3 + 70*y**2 + 632*y - 2648. Let t(n) = -4*f(n) + 10*w(n). Find o, given that t(o) = 0.
-21, 3
Find t, given that 8/9*t - 4/9*t**3 - 8/9 + 2/3*t**2 - 2/9*t**4 = 0.
-2, 1
Let p = 12 - 8. Let d(z) = -z**3 - 6. Let n be d(-2). Determine y, given that -p*y**3 + 3*y**3 - n*y**3 = 0.
0
Let j(s) = 14*s**2 + 78*s + 54. Let k(p) = -2*p**3 - 13*p**2 - 79*p - 53. Let d(u) = 3*j(u) + 2*k(u). Factor d(f).
-4*(f - 7)*(f + 1)*(f + 2)
Factor -8/5 + 136/5*o - 578/5*o**2.
-2*(17*o - 2)**2/5
Let j(o) = 2*o**3 + 39*o**2 - 436*o + 723. Let p(t) = -3*t**3 + t**2 - t - 1. Let k(i) = -j(i) - p(i). Factor k(y).
(y - 19)**2*(y - 2)
Factor 10/7*a**2 + 44/7*a + 16/7.
2*(a + 4)*(5*a + 2)/7
Let s be ((-22)/6 - -3)*((-2280)/112