 of -5*o**2 - 1/300*o**6 + 0*o - 1/75*o**5 - 1/60*o**r + 0*o**3 + 0. Factor g(u).
-2*u*(u + 1)**2/5
Suppose 0 = 34*v + v - 210. Let w(q) be the third derivative of -1/360*q**5 + 0 + 0*q**4 + 0*q - 3*q**2 + 1/720*q**v + 0*q**3. Find h such that w(h) = 0.
0, 1
Let g be 37/45 + 8/(-36). Suppose -36/5*l - g*l**3 - 24/5 - 18/5*l**2 = 0. Calculate l.
-2
Let i(b) be the second derivative of -3*b**5/20 + 2*b**4 - 10*b**3 + 24*b**2 + 9*b + 3. Let i(j) = 0. What is j?
2, 4
Let d(t) be the third derivative of -t**7/840 - t**6/180 + t**4/12 - 13*t**2. Let h(c) be the second derivative of d(c). Let h(s) = 0. What is s?
-4/3, 0
Let p(w) be the second derivative of -w**5/40 - 23*w**4/36 - 85*w**3/36 + 13*w**2/2 + 44*w + 2. What is c in p(c) = 0?
-13, -3, 2/3
Suppose -4*c + 10 = -14. Determine i so that -1 + c + 5*i**2 + 18*i - i**2 + 3 = 0.
-4, -1/2
Suppose -158*y + 151*y = -28. Let i(s) be the second derivative of -1/90*s**6 + 0*s**3 + 1/60*s**5 - 1/126*s**7 + 1/36*s**y - 6*s + 0 + 0*s**2. Factor i(p).
-p**2*(p - 1)*(p + 1)**2/3
Let f = 10324 + -10321. Let 3/7 - 3/7*p**2 + 3/7*p**f - 3/7*p = 0. Calculate p.
-1, 1
Suppose -q - 20 + 18 = 0. Let u be 0 - (-12)/(-8)*q. Determine d, given that 3*d + d**u - 5*d + d**3 = 0.
-1, 0, 1
Let 0*k**3 + 0 - 1/2*k + 3/4*k**2 - 1/4*k**4 = 0. Calculate k.
-2, 0, 1
Let p(a) be the second derivative of -5*a**7/42 + a**6/2 + 3*a**5/4 - 55*a**4/12 + 5*a**3 - 61*a + 3. Determine w so that p(w) = 0.
-2, 0, 1, 3
Factor -1/6*b**5 + 5/3*b**4 + 6*b**2 - 17/3*b**3 + 9/2*b - 9.
-(b - 3)**3*(b - 2)*(b + 1)/6
Let w = -45083 - -45083. Factor -4/3*x - 1/3*x**4 + 0*x**2 + w + x**3.
-x*(x - 2)**2*(x + 1)/3
Factor -1/2*c**3 - 1/6*c + 1/6*c**4 + 0 + 1/2*c**2.
c*(c - 1)**3/6
Let n(r) be the second derivative of r**2 + 0 - r - 1/180*r**6 + 0*r**3 + 2/45*r**5 - 1/9*r**4. Let j(t) be the first derivative of n(t). Factor j(m).
-2*m*(m - 2)**2/3
Let s(d) = d**3 - 4*d**2 - 3*d - 3. Let f be s(4). Let u = 17 + f. Solve 9*t + 4 + 0*t - 8*t**3 - 8*t**4 + 0*t + t + 4*t**2 - u*t**5 = 0.
-2, -1, 1
Let y(d) = 7*d - 47. Let c be ((-84)/(-24))/(2/4). Let g be y(c). Factor v + 1/3 + 1/3*v**3 + v**g.
(v + 1)**3/3
Let q = -5983 - -5986. Factor -1 - 2*t**2 - 5/2*t - 1/2*t**q.
-(t + 1)**2*(t + 2)/2
Let j be ((-13)/((-91)/(-84)))/(4/(-2)). Suppose j*z + 0*z - 18 = 0. Factor 0 - x**4 - 1/2*x + 1/2*x**5 + 0*x**z + x**2.
x*(x - 1)**3*(x + 1)/2
Solve -2 + 4*y**2 + 4*y - 6 - 3 - 2 - 11 = 0 for y.
-3, 2
Suppose -3*i = -2*i + 5. Let x be -9 + (-5)/(65/(-429)). Let r(o) = 20*o**2 - 64*o + 20. Let c(g) = 4*g**2 - 13*g + 4. Let z(p) = i*r(p) + x*c(p). Factor z(f).
-4*(f - 1)**2
Suppose 77*p = 72*p + 15. Let f be (4 - (-1 - -3)) + -2. Find s such that -3/4*s + 15/4*s**p + f - 9/4*s**4 - 3/4*s**2 = 0.
-1/3, 0, 1
Let m(g) be the third derivative of -g**8/4800 + g**7/1400 - g**6/1800 - 7*g**4/24 + 4*g**2. Let k(x) be the second derivative of m(x). Factor k(w).
-w*(w - 1)*(7*w - 2)/5
Let y be 1/(-30)*60/(-240). Let j(m) be the third derivative of -3*m**2 + y*m**6 - 1/40*m**5 - 1/12*m**4 + 0*m + 1/420*m**7 + 0 + 1/3*m**3. Factor j(s).
(s - 1)**2*(s + 2)**2/2
Let v(t) be the first derivative of 2*t**3 + t**2 + 2/5*t**5 + 8 + 3/2*t**4 + 0*t. Factor v(a).
2*a*(a + 1)**3
Factor 2*l**4 - 26*l**2 + 22*l**3 + 364 - 22*l - 169 - 171.
2*(l - 1)**2*(l + 1)*(l + 12)
Find w such that 0*w + 0*w**2 + 8*w**4 - 14/3*w**5 + 8/3*w**3 + 0 = 0.
-2/7, 0, 2
Suppose -c + 5*k + 13 = -11, 0 = -5*k - 20. Factor -18*b**2 - 4*b**4 - 6*b**2 + 48 + 7*b**c.
3*(b - 2)**2*(b + 2)**2
Let r(x) be the second derivative of 0*x**2 + 0 + 1/6*x**3 - 1/6*x**4 - 59*x + 1/20*x**5. Solve r(s) = 0 for s.
0, 1
Let q(j) = j**3 - 5*j**2 + 5*j - 2. Let a be q(4). Find w such that -a*w**2 + 4*w**2 + 21 - 8*w - 13 = 0.
2
Let w(d) be the second derivative of 11/2*d**4 + 1331*d**2 + 0 + 17*d - 121*d**3 - 1/10*d**5. Determine t, given that w(t) = 0.
11
Let p = 230 + -228. Let i(s) be the first derivative of 1 + 0*s**p + 4/3*s - 1/9*s**3. Factor i(z).
-(z - 2)*(z + 2)/3
Let z(a) be the first derivative of a**4/10 - 4*a**3/5 + 9*a**2/5 + 3. Factor z(l).
2*l*(l - 3)**2/5
Let a(i) be the second derivative of 1/84*i**7 + 0*i**2 + 0 - 10*i + 0*i**3 + 1/60*i**6 - 1/24*i**4 - 1/40*i**5. Factor a(h).
h**2*(h - 1)*(h + 1)**2/2
Suppose -1006*p - 130*p**3 - 512 + 558*p + 878*p**2 + 4*p**4 + 208*p**2 = 0. What is p?
-1/2, 1, 16
Let z(m) be the second derivative of 0 + 24*m + 0*m**2 + 0*m**3 + 1/12*m**4. Determine t so that z(t) = 0.
0
Let i(z) = -z**2 + 9. Let q be i(0). Factor -9 + q - 5*d**5 - 5*d**2 - 15*d**4 - 15*d**3.
-5*d**2*(d + 1)**3
Let r(b) be the third derivative of -b**8/8400 - b**7/1050 + 2*b**5/75 + 2*b**4/15 + 11*b**3/6 + 6*b**2. Let p(d) be the first derivative of r(d). Factor p(a).
-(a - 2)*(a + 2)**3/5
Suppose 19 = 5*r + 5*h + 29, -2*h - 4 = 0. Suppose 0*v + r - 1/6*v**4 + 0*v**3 + 1/6*v**2 = 0. What is v?
-1, 0, 1
Let y(v) be the third derivative of v**7/840 + v**6/90 + v**5/40 - 4*v**3 - 8*v**2. Let c(g) be the first derivative of y(g). Find z such that c(z) = 0.
-3, -1, 0
Let s(t) be the second derivative of -t**4/6 + 5*t**3/6 + 13*t**2/2 + 18*t. Let v(w) = w**2 - 6*w - 14. Let j(b) = 2*s(b) + 3*v(b). Find h, given that j(h) = 0.
-4
Let r(c) be the second derivative of -5*c + 0 + 1/3*c**4 + 0*c**3 - 8*c**2. Factor r(m).
4*(m - 2)*(m + 2)
Let r be ((-116)/8)/((-4)/(-8)). Let x = r - -44. Factor -2*s**3 - s**3 + 14*s + 39*s**2 - 5*s + x*s**3.
3*s*(s + 3)*(4*s + 1)
Let n be 4/(-30) - (-188)/60. Let z be 1/n + (-21)/117. Factor 2/13*x**2 - z*x**3 + 2/13*x + 0 - 2/13*x**4.
-2*x*(x - 1)*(x + 1)**2/13
Let n(s) be the second derivative of 0*s**4 - 1/10*s**2 + 1/150*s**6 - 1/15*s**3 - 16*s + 0 + 1/50*s**5. Factor n(p).
(p - 1)*(p + 1)**3/5
Let 591*o**3 + 36*o + 5*o**4 - 599*o**3 - 3*o**4 - 30*o**2 = 0. What is o?
-3, 0, 1, 6
Let p(j) be the second derivative of -j**6/6 + j**5/4 + 65*j**4/12 - 125*j**3/6 + 30*j**2 - 2*j - 60. Let p(g) = 0. Calculate g.
-4, 1, 3
Let p be (-13)/(-156) + (-3 - (-3 - 0)). Let j(v) be the second derivative of -p*v**4 + 1/60*v**6 + 0 + 0*v**3 + 0*v**5 + 1/4*v**2 + 3*v. Factor j(h).
(h - 1)**2*(h + 1)**2/2
Let g be (-18)/(-3) + -1 + 0. Suppose g*z + 8 - 23 = 0. Suppose -9*b**2 + 11*b + 3*b**z + 0 - 3 + 0*b - 2*b = 0. Calculate b.
1
Let m(n) = n**3 + 2*n**2 + n. Let i be m(-1). Let a be i/(1 + -3 + 0). Factor g**5 - 2*g**3 + g**3 + 3*g**4 + a*g**3 - 2*g**4 - g**2.
g**2*(g - 1)*(g + 1)**2
Let h(x) be the third derivative of -x**8/3024 - x**7/1890 + 7*x**6/1080 + x**5/540 - x**4/36 - 52*x**2. Solve h(i) = 0.
-3, -1, 0, 1, 2
Let u be (30/9 + -3)*(54 - 3). Determine l, given that 26*l - 5*l**4 + 10*l**3 - u*l + 5 - 19*l = 0.
-1, 1
Factor 1/4*r**2 + 13/2*r + 0.
r*(r + 26)/4
Let s(w) = -3 + 2 - 3*w - 4*w. Let b be s(-1). Factor 5*d + 2*d - 3*d + 2*d**3 - b*d**2.
2*d*(d - 2)*(d - 1)
Let k(d) be the second derivative of -55/6*d**3 - 1/4*d**5 + 1/6*d**6 - 15/4*d**4 - 10*d**2 - 8*d + 0. What is j in k(j) = 0?
-1, 4
Let q = -24/323 - -1065/1292. Determine r so that 9/4*r + 3/2 + q*r**2 = 0.
-2, -1
Let q(j) = j**3 + 5*j**2 + 3. Let x be q(-5). Let r(m) be the first derivative of 1/15*m**x + 3/25*m**5 - 1/30*m**6 + 0*m + 1 + 0*m**2 - 3/20*m**4. Factor r(p).
-p**2*(p - 1)**3/5
Suppose 0 = 9*z + 260 - 368. Let l be (1 + 0)*2*1. Factor 10*u**5 + u**5 + u - 2*u**l + 2*u**4 - z*u**5.
-u*(u - 1)**3*(u + 1)
Let b = -34 - -41. Factor 2*t - 3*t + b*t + 5*t**2 - t.
5*t*(t + 1)
Let o(h) be the second derivative of h**5/360 + h**4/48 + h**3/18 + 8*h**2 - 25*h. Let q(c) be the first derivative of o(c). Factor q(z).
(z + 1)*(z + 2)/6
Let b = -653/2 - -327. Let v = 70 + -135/2. Factor v*m + m**2 - 2*m**4 - 2*m**3 - b*m**5 + 1.
-(m - 1)*(m + 1)**3*(m + 2)/2
Let r = 17 + -19. Let n = 2 - r. Let h(g) = -3*g**3 - g**2 + 2. Let i(b) = 7*b**3 + 2*b**2 - 5. Let u(c) = n*i(c) + 10*h(c). Factor u(y).
-2*y**2*(y + 1)
Let l = -3 + 5. Suppose 0 = 2*k + 5*j + 8 + 3, -5*j - 23 = -4*k. What is t in 0*t - t**4 + t**3 - 4*t**l - t - t**2 + 6*t**k = 0?
-1, 0, 1
Let f(y) = 3*y**4 + 6*y**3 + 3*y**2. Let d(z) = 26 - z**3 - z**2 + 25 - 51. Let w(v) = 3*d(v) + f(v). Factor w(l).
3*l**3*(l + 1)
Let f be (2 - (3 + -6))/1 + -3. Let o(a) be the third derivative of 1/40*a**5 - 1/240*a**6 + 11*a**f - 1/16*a**4 + 0 + 0*a + 1/12*a**3. Factor o(y).
-(y - 1)**3/2
Fa