2*g**7 + 0 + d*g**2 + 0*g**3 + 11*g + 0*g**4 + 1/4*g**5. Factor o(r).
5*r**3*(r + 1)**2
Let b(g) be the third derivative of 2*g**5/285 - 3*g**4/76 + 19*g**2 - g. Find v, given that b(v) = 0.
0, 9/4
Let a(r) be the first derivative of 20/3*r**4 - 1/3*r**5 - 23 - 50*r**3 - 625/3*r + 500/3*r**2. Let a(d) = 0. What is d?
1, 5
Let f(m) = -73*m + 1243. Let q be f(17). Determine i, given that 0 - 10*i**3 - 5/2*i**q + 0*i = 0.
-1/4, 0
Determine u so that 3*u**2 - 44*u + u**2 + 28*u = 0.
0, 4
Let i = -107 - -109. Factor x**i - 2*x**4 - 28*x**3 + 28*x - 21*x**2 + 22 + 2 - 2*x**4.
-4*(x - 1)*(x + 1)**2*(x + 6)
Suppose 0 = 23*u - 22*u - 3. Solve 448*x**u + 152*x**4 + 48*x**2 + 463*x**4 + 324*x**5 + 501*x**4 = 0.
-3, -2/9, 0
Let k(f) = 16*f**4 + 32*f**3 + 24*f**2 + 28*f - 4. Let o(w) = -w**4 - w**3 + w**2 + 1. Let t(s) = -k(s) - 12*o(s). Factor t(j).
-4*(j + 1)**3*(j + 2)
Let x(a) be the third derivative of a**8/336 - a**7/42 - a**6/60 + a**5/6 + a**4/24 - 5*a**3/6 + 99*a**2. Determine k so that x(k) = 0.
-1, 1, 5
Let z be ((-202)/(-10) + 2)/(-1)*-5. Let s = z + -106. Determine k, given that -1/4*k**s - 5/4*k**3 + 1/2*k**2 + 0*k + 0 + k**4 = 0.
0, 1, 2
Determine l, given that 2*l**2 + 0 + 2/5*l**3 + 12/5*l = 0.
-3, -2, 0
Let g(j) = -j**2 - 6*j + 1. Let h be g(-6). Let z be -3 - (h - 1) - -8. Factor 9*l**2 + 2*l + 4*l - 4 + 4*l**3 + z + 0*l.
(l + 1)**2*(4*l + 1)
Let a(f) be the third derivative of 0*f - 14*f**2 + 1/240*f**6 + 1/40*f**5 + 1/12*f**3 + 1/16*f**4 + 0. Factor a(z).
(z + 1)**3/2
Let n be 552/414 + (-44)/24 + 2. Factor 81/2 + 81/2*f + 27/2*f**2 + n*f**3.
3*(f + 3)**3/2
Suppose -3*t**2 + 2*t + 9 + 3*t + 4*t - 3*t = 0. Calculate t.
-1, 3
Let h = -3807/14 - -272. Let n(t) be the second derivative of -1/210*t**6 + 0*t**5 + 0 + 3/14*t**2 + 4/21*t**3 - 2*t + h*t**4. Let n(d) = 0. What is d?
-1, 3
Let x = 18 + -24. Let a = 4 + 3. Let z(g) = -7*g**3 - 6*g + 6. Let v(q) = -8*q**3 - 7*q + 7. Let b(p) = a*z(p) + x*v(p). Let b(r) = 0. Calculate r.
0
Let x(y) = -12*y**5 + 8*y**4 + 56*y**3 - 64*y**2 - 52*y + 40. Let k(p) = -p**5 + p**3 - p**2 - p - 1. Let r(u) = -8*k(u) + x(u). Suppose r(b) = 0. What is b?
-3, -1, 1, 4
Suppose 3*l - 3 = 0, q = -3*l + 7*l - 3. Suppose -3*w = -4 + q, 6 = 5*z - 4*w. Factor 10*y**2 - 2 - 7*y**2 + 9*y**z + 4*y - 2*y.
2*(2*y + 1)*(3*y - 1)
Let w = 1700 + -18698/11. Find r such that -2/11*r - w*r**5 + 4/11*r**3 + 2/11 + 2/11*r**4 - 4/11*r**2 = 0.
-1, 1
Let f(h) be the second derivative of -h**5/10 - h**4 + 7*h**3/3 + 21*h + 1. Solve f(x) = 0.
-7, 0, 1
Factor -3*s**2 + 11*s + 20*s - 34*s.
-3*s*(s + 1)
Let z(p) be the first derivative of 3*p**6/80 - 7*p**5/40 + p**4/3 - p**3/3 - 3*p**2/2 - 13. Let t(w) be the second derivative of z(w). Factor t(u).
(u - 1)*(3*u - 2)**2/2
Let l = -25 - -28. Suppose 0 = l*d - 0 - 9. Factor d*g**3 + 0*g + 3/2*g**2 + 3/2*g**4 + 0.
3*g**2*(g + 1)**2/2
Suppose 2*x - 3 = -3*r - 0, -x + 6 = 3*r. Let y be x + (3 - -5) + -2 - -2. Factor -3/5*a**y + 0 + 3/5*a**3 + 3/5*a**4 - 3/5*a**2 + 0*a.
-3*a**2*(a - 1)**2*(a + 1)/5
Suppose 2*v + q = -0*v, -2*v = -4*q. Solve 2*f**5 + v*f + 0 - 10/7*f**4 - 4/7*f**3 + 0*f**2 = 0 for f.
-2/7, 0, 1
Suppose -4*y = -5*y + 7. Suppose -2*d + 1 = -y. Suppose -2*o**2 + d*o**2 - 6*o**2 - 2*o - o**3 + 7*o**3 = 0. What is o?
-1/3, 0, 1
Let d be 6*(6 + (0 - -2)). Let 16*m**3 + 2*m**2 - 22*m**4 - d*m**3 - 10*m**4 + 2*m = 0. What is m?
-1, -1/4, 0, 1/4
Let p(v) = 6*v**2 + v. Let y be p(-1). Suppose y*z = 35 - 0. Factor 32*d + z*d**3 - 16 - 24*d**2 + 4*d**2 - 3*d**3.
4*(d - 2)**2*(d - 1)
Let c(d) = -d**3 - d**2. Let i(f) = -12*f**3 - 132*f**2 - 243*f - 123. Let v(t) = 15*c(t) - i(t). Find x such that v(x) = 0.
-1, 41
Let t(n) = 1. Let m(i) = 2*i**2 + 52*i + 332. Let o(x) = -2*m(x) - 12*t(x). Find b such that o(b) = 0.
-13
Suppose 60 = -4*w - 4*k, -3*k + 7 + 8 = -2*w. Let g = -7 - w. Let 0*u + 0 + 0*u**2 + 2/5*u**4 - 1/5*u**3 - 1/5*u**g = 0. What is u?
0, 1
Let j(x) = -23*x - 5. Let s be j(-2). Let a = s + -39. What is p in -5*p**4 - 3*p - p**4 - 10*p**a + 3*p**5 + 16*p**2 = 0?
-1, 0, 1
Factor 5*n**3 - 192*n**2 - 6554 + 788 - 2*n**3 + 1254*n + 2001*n.
3*(n - 31)**2*(n - 2)
Let w be (-1)/(((-72)/42)/12). Let k(m) be the second derivative of 1/110*m**5 - 1/231*m**w + 0*m**2 + 0*m**4 + 5*m + 0*m**6 + 0 + 0*m**3. Factor k(u).
-2*u**3*(u - 1)*(u + 1)/11
Let l(h) be the first derivative of 2*h**5/35 - h**4/14 - 4*h**3/21 + 34. Find x such that l(x) = 0.
-1, 0, 2
Let c = 99 + -97. Factor q**5 - 9550*q - 4*q**c + 9550*q + 3*q**4.
q**2*(q - 1)*(q + 2)**2
Factor 5/3*q**2 + 0 - 1/3*q**4 + 0*q + 4/3*q**3.
-q**2*(q - 5)*(q + 1)/3
Let q(x) be the second derivative of 2/3*x**2 + 0 - 2/3*x**3 + 5/36*x**4 + 9*x. What is k in q(k) = 0?
2/5, 2
Let f(c) = 81*c**2 + 150*c - 39. Let d(m) = -4*m**2 + m + 2. Let j(a) = 12*d(a) + f(a). Determine s, given that j(s) = 0.
-5, 1/11
Find y such that -192*y - 28*y**2 + 25*y**2 + 12*y - 2700 = 0.
-30
Factor 2/3*p**2 + 578/3 + 68/3*p.
2*(p + 17)**2/3
Let l(u) be the second derivative of u**4/24 + 157*u**3/12 - 760*u. Solve l(x) = 0.
-157, 0
Let i(w) be the third derivative of w**8/14112 + w**7/1470 + w**6/630 + 3*w**5/20 - 3*w**2. Let q(p) be the third derivative of i(p). Solve q(v) = 0.
-2, -2/5
Suppose 187*u - m + 6 = 189*u, -3 = -u - 2*m. Let n(g) be the first derivative of 0*g**2 + 1/9*g**u + 0*g - 1/6*g**4 + 1/15*g**5 - 5. Factor n(s).
s**2*(s - 1)**2/3
Let l be 1/(-2 - 45/(-20)). Suppose -25*i**2 + 270 + 30*i**l + 52*i + 10*i**3 + 5*i**5 - 187*i - 155*i**2 = 0. What is i?
-3, 1, 2
Let b(s) be the second derivative of 3*s**5/100 - 7*s**4/20 - 4*s**3/5 - 54*s - 1. Find r such that b(r) = 0.
-1, 0, 8
Let g(l) = 4*l**2 + 9*l + 5. Let n be g(-3). Suppose 0 = n*z - 11*z. Suppose -3/4*k**4 + 0*k + 0*k**2 + z + 0*k**3 = 0. Calculate k.
0
Let c(x) be the first derivative of -x**9/1512 + x**8/840 + x**7/420 - x**6/180 + 8*x**3 - 30. Let v(y) be the third derivative of c(y). Solve v(t) = 0.
-1, 0, 1
Factor 9/4*o**2 + 7/4 + 1/4*o**3 + 15/4*o.
(o + 1)**2*(o + 7)/4
Let h(g) = g**2 + 13*g + 11. Let u be h(-12). Let w be (4/8)/(u/(-2)). Determine p, given that -3*p**2 + w + 1 + p + 2*p**3 + 0*p**3 - 2*p**2 = 0.
-1/2, 1, 2
Let p(r) be the third derivative of r**6/60 + r**5/6 + 7*r**4/12 + r**3 - 2*r**2 + 9*r. Solve p(l) = 0.
-3, -1
Let g be (10/(-15))/((-2)/90). Let d be (-1)/2*2 - g/(-12). Solve -d*v - 3/2*v**2 - 1/2 - 1/2*v**3 = 0 for v.
-1
Suppose 3*z - 2*z = -q + 13, -5*z + q = -65. Factor -4 - z - 15*d + 27 + 5*d**2.
5*(d - 2)*(d - 1)
Let k(w) be the first derivative of -w**4 - 8*w**3 - 10*w**2 - 433. Factor k(j).
-4*j*(j + 1)*(j + 5)
Let -3 - 6 - 2*k**2 + 34*k + 6*k**2 + k = 0. What is k?
-9, 1/4
Let y(l) be the third derivative of l**6/720 - 19*l**5/360 + 35*l**4/144 - 17*l**3/36 + 22*l**2 + 2. Let y(b) = 0. What is b?
1, 17
Let d(n) = 4*n + 1. Let y(h) = -3*h - 1. Let m(o) = 4*d(o) + 3*y(o). Let z be m(2). Factor 5*a**3 - 1 - z*a**2 + 16*a**3 - 6*a + 1.
3*a*(a - 1)*(7*a + 2)
Factor 8402*g**2 + 5*g**3 - 4189*g**2 - 4193*g**2.
5*g**2*(g + 4)
Suppose -4*y - 5*q = 62 - 4, 3*q + 6 = 0. Let w be 12/9 - y/(-90). Solve -6/5*b**4 + 0*b - w*b**3 - 2/5*b**5 + 0 - 2/5*b**2 = 0 for b.
-1, 0
Let y(x) be the first derivative of 2*x**5/15 + x**4/12 - 23*x**2/2 + 7. Let o(j) be the second derivative of y(j). Factor o(z).
2*z*(4*z + 1)
Suppose -32 = -4*x + 4*s, -x - 23 = -4*x + 2*s. Suppose 3*u - x = -1. Factor 7 + 4*v**3 - 6*v**u + v**3 - 3*v**3 + 1.
2*(v - 2)**2*(v + 1)
Determine j so that -1/2*j**5 - 4/3 + 14/3*j - 5*j**2 + 4/3*j**4 + 5/6*j**3 = 0.
-2, 2/3, 1, 2
Let l(z) be the third derivative of 11*z**6/90 + 23*z**5/45 + 13*z**4/18 + 2*z**3/9 + 100*z**2. Factor l(d).
4*(d + 1)**2*(11*d + 1)/3
Let d(a) be the third derivative of -a**8/189 + 76*a**7/189 + 11*a**6/30 - 283*a**5/270 - 239*a**4/108 - 16*a**3/9 + a**2 + 82*a. Find b, given that d(b) = 0.
-1/2, 1, 48
Let j = -250 + 752/3. Factor -l - 1/3*l**5 + 0*l**4 + 4/3*l**3 + j - 2/3*l**2.
-(l - 1)**3*(l + 1)*(l + 2)/3
Let a(b) be the third derivative of 11*b**6/24 + 41*b**5/12 + 35*b**4/8 - 15*b**3/2 - 107*b**2. Factor a(m).
5*(m + 1)*(m + 3)*(11*m - 3)
Let k(f) be the second derivative of f**6/360 - f**5/80 + f**4/48 - f**3 - 3*f. Let d(g) be the second derivative of k(g). Find v, given that d(v) = 0.
1/2, 1
Let s be (-3)/2*5/(-30). Let x