3 - 1/20*n**5 + 0*n**2 + 1/10*n**6 + 16*n. Factor x(i).
-i*(i - 2)*(i - 1)**2*(i + 1)
Let n(o) be the second derivative of -2*o**4/3 + 14*o**3/3 - 12*o**2 - 800*o. Factor n(c).
-4*(c - 2)*(2*c - 3)
Determine j so that -3*j**5 + 64*j**2 - 26*j**2 + 12*j**4 - 26*j**2 - 18*j**3 - 3*j = 0.
0, 1
Let h(r) be the second derivative of -r**7/14 + r**6/10 + 3*r**5/4 + 3*r**4/4 + 57*r - 2. Suppose h(b) = 0. Calculate b.
-1, 0, 3
Suppose 0 = 2*m + m - 4*o - 53, 15 = -3*o. Factor 2*g**2 - 12*g + m + g**2 + 1.
3*(g - 2)**2
Let w(o) be the second derivative of o**7/126 - o**6/40 + o**5/60 + o**4/72 - o**2/2 + o. Let x(p) be the first derivative of w(p). Factor x(q).
q*(q - 1)**2*(5*q + 1)/3
Find x such that 48*x - 102 + 3/2*x**2 = 0.
-34, 2
Let v(z) = z**3 - 7*z**2 - 4*z - 11. Let w be v(8). Suppose -4*k + 2*l = k - w, -5*l = 2*k - 20. Factor 2*p**5 - 3*p**4 - 5*p**k + 3*p - 3*p.
-3*p**4*(p + 1)
Let a(c) be the third derivative of c**5/30 - 41*c**4/6 + 1681*c**3/3 - 3*c**2 - 6*c. Find z, given that a(z) = 0.
41
Factor 1/4*z**3 + 0 + 53/4*z + 27/2*z**2.
z*(z + 1)*(z + 53)/4
Let p(y) be the third derivative of -y**5/150 + 2*y**4/3 - 80*y**3/3 - 14*y**2. Solve p(a) = 0.
20
Let d(r) = 6*r**4 - 347*r**3 + 5984*r**2 + 2450*r. Let b(g) = g**4 + g**3 - g**2. Let h(i) = -b(i) + d(i). Let h(f) = 0. What is f?
-2/5, 0, 35
Let q(f) = -f**3 + 18*f**2 - f + 20. Let u be q(18). Factor 2*x - 9*x + u*x**3 + 5*x.
2*x*(x - 1)*(x + 1)
Let s(g) be the third derivative of -2*g**7/15 - 23*g**6/30 - 4*g**5/3 - 2*g**4/3 - 59*g**2. Factor s(j).
-4*j*(j + 1)*(j + 2)*(7*j + 2)
Let q(n) be the first derivative of -n**5/150 - n**4/30 - 5*n**2/2 + 4. Let s(a) be the second derivative of q(a). Suppose s(u) = 0. Calculate u.
-2, 0
Let w(n) = -2*n**2 + n. Let c be w(1). Let k(l) = -3*l**3 - l**2. Let s(i) = i**3 - i**2 - i. Let v(h) = c*k(h) - 2*s(h). Find m such that v(m) = 0.
-2, -1, 0
Let m(b) = 2*b**3 + b. Let r(a) = 12*a**3 + 168*a**2 + 1768*a. Let t(g) = 4*m(g) - r(g). Suppose t(c) = 0. What is c?
-21, 0
Let x(v) = 0*v + 4*v + v + 3*v + 7*v**2 + 6. Let g(z) = -z**2 - z - 1. Let w(f) = 6*g(f) + x(f). Factor w(o).
o*(o + 2)
Let v(u) be the first derivative of -24*u - 35/2*u**6 - 825/4*u**4 + 13 - 492/5*u**5 - 206*u**3 - 102*u**2. Find i such that v(i) = 0.
-2, -1, -2/5, -2/7
Let l(k) be the first derivative of -k**5/300 + k**4/120 - 4*k**2 + 3. Let w(n) be the second derivative of l(n). Factor w(b).
-b*(b - 1)/5
Let y = 259 + -382. Let s be (1 + 14/(-4))/(y/82). Solve 0 + 6*p**4 - 8/3*p**2 - 4*p**3 - s*p**5 + 0*p = 0 for p.
-2/5, 0, 2
Let n(f) be the third derivative of f**5/480 - 13*f**4/192 + 136*f**2. Factor n(a).
a*(a - 13)/8
Let a be (0 - (-10*2)/4) + 168/(-36). Factor -1/3*y**3 + 0 + 1/3*y**4 - a*y**2 + 1/3*y.
y*(y - 1)**2*(y + 1)/3
Suppose -9 = 3*x, 3*v + 2*v = 4*x + 47. Factor -2*c + 27*c - 82 + 54 + v*c - 4*c**2.
-4*(c - 7)*(c - 1)
Let z(g) be the third derivative of g**6/540 - 8*g**5/135 + 16*g**4/27 - 34*g**2. Determine n so that z(n) = 0.
0, 8
Let i(k) be the second derivative of k**5/60 - k**4/12 + k**3/6 + 4*k**2 - 5*k. Let z(w) be the first derivative of i(w). Factor z(j).
(j - 1)**2
Suppose 34*p + 0 = -0. Let m(c) be the second derivative of 1/3*c**3 + p + 3/2*c**2 + 6*c - 1/12*c**4. Find j such that m(j) = 0.
-1, 3
Let n(w) be the second derivative of w**6/90 - 2*w**5/5 - w**4/36 + 4*w**3/3 - w + 31. Factor n(d).
d*(d - 24)*(d - 1)*(d + 1)/3
Suppose -5*t + 12*t = 14. Factor -2*i**3 + 5 + 171*i**t - 5 - 94*i**3 + 15*i**4 - 54*i.
3*i*(i - 3)**2*(5*i - 2)
Let a(i) be the first derivative of -2*i**3 + 6/5*i**5 + 0*i + 1/2*i**6 - 20 - 3/2*i**2 + 0*i**4. Find w such that a(w) = 0.
-1, 0, 1
Let a(f) = -21*f + 360. Let t be a(17). Factor 9/4*o**2 + 3*o**t + 3/2 - 27/4*o.
3*(o - 1)*(o + 2)*(4*o - 1)/4
Let w = 35 - 11. Let a be (-26)/7 + w + -20. Find l such that 2/7*l**2 + a + 4/7*l = 0.
-1
Suppose 5*w - 5*b + 14 = 54, 0 = -3*w - b + 8. Let z be (-8)/(-16)*1*w. Find u, given that -99*u**z + 5 - 11 + 60*u**3 + 51*u - 6*u = 0.
1/4, 2/5, 1
What is q in -5*q + 23*q**3 - 95*q**3 + 150*q**2 + 150*q + 77*q**3 = 0?
-29, -1, 0
Let o = -56 + 60. What is n in -134*n - 48 + 8*n**3 + 12*n**4 + 8*n**o - 32*n - 140*n**2 - 10*n = 0?
-2, -1, -2/5, 3
Let t be (105/56 + (-2)/(-16))*2. Suppose 12 = 2*i - 4*f - 0*f, t*f = i - 12. Factor i - 24*x**2 + 2/9*x**5 - 8/3*x**4 + 18*x + 12*x**3.
2*x*(x - 3)**4/9
Let r(y) be the first derivative of 5*y**4/4 - 20*y**3/3 + 10*y**2 + 196. Factor r(z).
5*z*(z - 2)**2
Let x be 2/28 + 28/((-36064)/(-580)). Factor x - 2/23*a**2 + 10/23*a.
-2*(a - 6)*(a + 1)/23
Let y(g) = g + 19. Let d be y(-14). Let p be (1 + d)*(-3)/(-6). Factor 6*c**3 - 9*c**p + 0 + 9*c + 0 + 6.
-3*(c - 2)*(c + 1)**2
Let l = 1949 + -1947. Factor 3/5*t**l - 3/5*t - 6/5.
3*(t - 2)*(t + 1)/5
Let t(f) be the first derivative of -14 + 0*f + 5*f**2 + 5/3*f**3 - 15/4*f**4 + 5/6*f**6 - f**5. Solve t(o) = 0.
-1, 0, 1, 2
Let n(j) be the second derivative of -1/126*j**7 + 1/9*j**4 + 0*j**2 + 0 - 20*j - 1/45*j**6 - 2/9*j**3 + 1/20*j**5. Determine k, given that n(k) = 0.
-2, 0, 1
Let m(q) be the first derivative of -7*q**4/4 - 10*q**3/3 + 3*q**2/2 + 10*q + 36. Let k(p) = -p**3 - p**2 + 1. Let a(u) = -4*k(u) + m(u). What is f in a(f) = 0?
-2, -1, 1
Let t(u) be the first derivative of -u**7/7 - u**6/15 + 3*u**5/10 + u**4/6 - 46*u - 36. Let r(v) be the first derivative of t(v). Suppose r(m) = 0. Calculate m.
-1, -1/3, 0, 1
Let a(n) be the second derivative of -n**6/105 + n**5/70 + n**4/42 - n**3/21 + n - 69. Solve a(k) = 0 for k.
-1, 0, 1
Let l(x) = -7*x**4 - 5 - x**3 + 5*x**3 - 3 - 3*x + 0 + 11*x**2. Let t(z) = -6*z**4 + 4*z**3 + 10*z**2 - 4*z - 8. Let r(u) = -4*l(u) + 5*t(u). Factor r(g).
-2*(g - 2)**2*(g + 1)**2
Let c be 6*(-4)/84*-8. Factor 8/7*n**2 + 10/7*n**4 + 2/7*n**5 + c*n**3 + 0*n + 0.
2*n**2*(n + 1)*(n + 2)**2/7
Let v(p) be the second derivative of 1/54*p**4 + 0 - 1/270*p**5 - 2*p**2 + 9*p + 0*p**3. Let g(h) be the first derivative of v(h). Factor g(r).
-2*r*(r - 2)/9
Let f(b) be the first derivative of -3*b**5/35 - 3*b**4/4 - 9*b**3/7 + 81*b**2/14 + 162*b/7 - 44. Let f(p) = 0. What is p?
-3, 2
Let o(l) be the third derivative of -7*l**6/60 + 37*l**5/30 - 13*l**4/3 + 4*l**3 - 80*l**2. Find q, given that o(q) = 0.
2/7, 2, 3
Suppose -33*q + 36 = -24*q. Let l be ((16/(-6))/q)/((-112)/72). Suppose 2/7*y + 1/7*y**3 + 0 - l*y**2 = 0. Calculate y.
0, 1, 2
Factor -55*r - 11*r + 5 - 18 - 5*r**2.
-(r + 13)*(5*r + 1)
Let k be (14 + -29 + 14)*-2. Factor 4/9*p**4 + 11/9*p**3 - 1/3*p**k + 0 + 0*p.
p**2*(p + 3)*(4*p - 1)/9
Let y be -66 - (3 + -5 + -1). Let p be ((-14)/y + 2/(-9))*1. Factor p - d + 1/2*d**2.
d*(d - 2)/2
Let j be (3/(-9))/(2/(-24)). Factor -p**5 + 2*p**4 + 11*p - 6*p - p**2 - j*p - p**2.
-p*(p - 1)**3*(p + 1)
Let r be 45 + ((-15)/10)/(6/8). Factor 11*l**2 - 6*l**2 - r*l + 33*l.
5*l*(l - 2)
Let d(a) = -a**2 + 8*a - 4. Let i be d(8). Let n be (32/(-15))/(-8)*(-6)/i. Factor -3/5*c + 1/5*c**2 + n.
(c - 2)*(c - 1)/5
Suppose 5*a - 5 = 10. Let r(q) = q**2 + q - 7. Let c be r(-5). Factor -c*x + 3*x**3 - 4*x**a + 16*x + 2.
-(x - 2)*(x + 1)**2
Let l(p) be the first derivative of -p**6/40 - p**5/10 + 2*p**2 - p - 25. Let s(z) be the second derivative of l(z). Determine w so that s(w) = 0.
-2, 0
Let g(f) = -10*f**2 - 32*f + 2. Let q(a) = -1. Let i(k) = -g(k) - 6*q(k). Let u(r) = -r. Let l(o) = -2*i(o) - 20*u(o). Factor l(h).
-4*(h + 2)*(5*h + 1)
Let n(u) = -u**2 + 5*u + 6. Let g(m) be the third derivative of m**5/15 - 13*m**4/12 - 5*m**3 - 11*m**2. Let h(f) = 2*g(f) + 11*n(f). Factor h(w).
-3*(w - 2)*(w + 1)
Let j be ((-12)/(-10))/((-14 - -21) + -4). Let 0*d + 0*d**2 + 0 - 3/5*d**4 - 1/5*d**5 - j*d**3 = 0. What is d?
-2, -1, 0
Let g(o) be the second derivative of o**7/105 - o**6/10 + 2*o**5/5 - 2*o**4/3 + 5*o**2/2 - 12*o. Let h(p) be the first derivative of g(p). Factor h(r).
2*r*(r - 2)**3
Suppose 21*f = 22*f - 6. Let i(k) be the third derivative of -1/30*k**5 + 1/105*k**7 - 1/36*k**4 + 0 + 1/180*k**f + 8*k**2 + 0*k + 0*k**3. Solve i(y) = 0.
-1, -1/3, 0, 1
Let m be (4/42)/(36/84). Let t(w) be the first derivative of 1/18*w**4 + m*w + 3 + 1/3*w**2 + 2/9*w**3. Factor t(r).
2*(r + 1)**3/9
Let z(o) be the first derivative of o**5/10 - 33*o**4/4 + 544*o**3/3 + 33*o**2/2 - 1089*o/2 + 254. Factor z(p).
(p - 33)**2*