 is z in 2/15*z**d + 0 + 0*z + 2/15*z**3 = 0?
-1, 0
Let c(i) be the third derivative of -i**8/60480 - i**7/5040 + i**5/6 - i**4/24 + 63*i**2 + i. Let v(q) be the third derivative of c(q). Factor v(d).
-d*(d + 3)/3
Let p(a) be the third derivative of -1/2*a**4 + 0*a - 16*a**3 + 61*a**2 + 0 + 1/20*a**5. Factor p(n).
3*(n - 8)*(n + 4)
Let n(w) be the third derivative of -w**7/420 - 53*w**6/120 - 4129*w**5/120 - 2915*w**4/2 - 36300*w**3 + 2*w**2 + 99*w - 5. Suppose n(b) = 0. What is b?
-33, -20
Let f(k) = -6*k**4 + 66*k**3 + 71*k**2 - 696*k + 17. Let y(a) = -a**4 + 11*a**3 + 12*a**2 - 117*a + 3. Let p(u) = -6*f(u) + 34*y(u). Factor p(x).
2*x*(x - 11)*(x - 3)*(x + 3)
Let u be 14/4 + 294/28 + -8. Let b(j) be the second derivative of 0*j**6 + 0*j**4 + 1/35*j**5 - 1/147*j**7 + 0 - u*j - 1/21*j**3 + 0*j**2. Factor b(a).
-2*a*(a - 1)**2*(a + 1)**2/7
Let n(b) be the first derivative of -7*b**5/5 - 5*b**4/4 + 2*b**3/3 + 2707. Factor n(p).
-p**2*(p + 1)*(7*p - 2)
Let a(q) be the third derivative of -q**7/105 - 2*q**6/15 - 7*q**5/10 - 3*q**4/2 - 2517*q**2. Solve a(n) = 0.
-3, -2, 0
Let n(p) = 9*p**2 + 237*p + 7560. Let t(b) = b**2 + 24*b + 756. Let v(r) = -4*n(r) + 39*t(r). Factor v(q).
3*(q - 18)*(q + 14)
Let m be (-2)/4 - 15/6*-21. Let u be ((-13)/m)/((-2)/24). Factor -u*a - 1 + a**3 + 12 - 5 - 8.
(a - 2)*(a + 1)**2
Let h = -3689565/7 - -527081. Solve -40/7 - 2/7*r + 6*r**2 + 2/7*r**3 - h*r**4 = 0 for r.
-4, -1, 1, 5
Let f(y) be the first derivative of -y**4/14 - 4*y**3/21 + 68*y**2/7 - 240*y/7 + 1530. Factor f(d).
-2*(d - 6)*(d - 2)*(d + 10)/7
Let f(g) = -14*g**3 + 114*g**2 - 89*g - 22. Let j(k) = 3*k**3 - 23*k**2 + 18*k + 4. Suppose -38*u + 40*u - 4 = 0. Let i(p) = u*f(p) + 11*j(p). Factor i(z).
5*z*(z - 4)*(z - 1)
Suppose -6 = 7*j - 4*j. Let m be 5 + 2/(j + 4). Factor 4*b + 6*b**2 - 5*b**4 + m*b**2 + 2*b**3 + b**3.
-b*(b - 2)*(b + 1)*(5*b + 2)
Let m = 342 - 1082. Let d = m - -744. Factor -7/5*b**3 + 0 - 3*b**2 - 1/5*b**d - 9/5*b.
-b*(b + 1)*(b + 3)**2/5
Determine s so that 3/4*s**4 + 51/4*s**3 - 57/2*s**2 + 0*s + 0 = 0.
-19, 0, 2
Let f(y) = 5*y**2 + 11*y. Suppose -103 + 38 = -5*q. Let t(v) = 29*v**2 + 23*v + 1 - 15*v**2 - 3*v**2. Let m(c) = q*f(c) - 6*t(c). Factor m(n).
-(n - 3)*(n - 2)
Let b = 9783/3910 - 4/1955. Let d(l) be the first derivative of -1/6*l**3 - 22 + l**2 + b*l. Determine x, given that d(x) = 0.
-1, 5
Let l(n) = -n**2 + 1. Let b(c) = 12*c**2 + 4*c - 2. Suppose 3*a = -q + 4, 0*a = -4*q - 3*a - 2. Let m(g) = q*l(g) - b(g). Factor m(i).
-2*i*(5*i + 2)
Let g(p) be the third derivative of -3*p**5/20 - 3923*p**4/8 - 1307*p**3 + 8538*p**2. Solve g(w) = 0.
-1307, -2/3
Factor 2/7*m**3 - 900*m**2 + 945000*m - 330750000.
2*(m - 1050)**3/7
Let x(l) be the second derivative of -2*l**4/3 - 43*l**3/3 + 60*l**2 + 2857*l - 1. Factor x(p).
-2*(p + 12)*(4*p - 5)
Let j(b) = -4*b**2 + b + 3*b**2 + 8 - 3*b - 3*b. Let w be j(-6). Find s such that -6*s**2 + 24*s + s**w + 7*s**2 + 36 + 2*s**2 = 0.
-3
Let i(m) be the third derivative of -m**8/6720 - 3*m**7/280 - 17*m**5/60 + 12*m**2 + 5*m. Let y(s) be the third derivative of i(s). Factor y(z).
-3*z*(z + 18)
Let n be ((-7 - -1) + 1 + 10)*2. Suppose 0 = -30*c + n*c + 60. Suppose -44/5*v**4 - 12/5*v**2 + 0*v + 0 - 46/5*v**c - 2*v**5 = 0. Calculate v.
-3, -1, -2/5, 0
Let j = -97 - -105. Factor 5 - 6*f**4 - 6*f**2 - 2*f**3 + j*f**4 - 2 + 1 + 2*f.
2*(f - 2)*(f - 1)*(f + 1)**2
Suppose 4*r + 24 = 17*u, 0 = -u - 18*r + 19*r + 6. Let a = -116 + 118. Factor 6/13*p**a + u - 2/13*p**4 + 36/13*p - 8/13*p**3.
-2*p*(p - 2)*(p + 3)**2/13
Determine p so that 658/3 + 80/3*p - 2/3*p**2 = 0.
-7, 47
Suppose r + 71 = 74. Suppose 3*h + r*h = -h. Factor 72*a + a**2 - 147*a + h*a**2 + 73*a.
a*(a - 2)
Factor -1056*i**2 - i**3 + 1026*i**2 + 420 - 8*i**3 + 4*i**3 + 395*i.
-5*(i - 7)*(i + 1)*(i + 12)
Let b = 257 - 291. Let c be (3/32*4)/((-51)/b). What is x in 0*x + 1/2*x**2 - c*x**4 - 1/4 + 0*x**3 = 0?
-1, 1
Let o be 133/56 + 3/(-8). What is b in 30*b - 41*b**2 + 35*b**4 - 71*b**3 - 59*b**3 + 106*b**o = 0?
-2/7, 0, 1, 3
Let s(v) = -136*v - 13192. Let a be s(-97). Factor a + 1/6*c**5 - 1/3*c**3 + 0*c**2 + 0*c - 1/6*c**4.
c**3*(c - 2)*(c + 1)/6
Let p = -1937279 + 13560987/7. Factor 6/7*f**3 - 54/7*f - p*f**2 - 2.
2*(f - 7)*(f + 1)*(3*f + 1)/7
Factor 884/5*t - 2/5*t**2 - 97682/5.
-2*(t - 221)**2/5
Let b(o) be the third derivative of o**9/45360 - o**8/5040 + o**7/7560 + o**6/360 - 9*o**4/8 + o**2 + 9. Let q(m) be the second derivative of b(m). Factor q(r).
r*(r - 3)*(r - 2)*(r + 1)/3
Let i = 263421/2 + -131703. Factor -3*o**4 + 14*o**2 + 5/2*o**5 + 1 - 7*o**3 - i*o.
(o - 1)**3*(o + 2)*(5*o - 1)/2
Let g be 6/(-16)*9*32/(-432). Let b(t) be the second derivative of 0*t**2 + 10*t + 0 + g*t**3 + 1/8*t**4. Suppose b(c) = 0. What is c?
-1, 0
Suppose -714*r = -620*r - 282. Factor 0*l**2 + 0*l - 2/3*l**5 + 0 + 2*l**r - 1/3*l**4.
-l**3*(l + 2)*(2*l - 3)/3
Let f(y) = -18*y**3 + y**4 - 54*y - 44*y**2 + 14*y - 7*y**4. Let q(k) = 11*k**4 + 36*k**3 + 89*k**2 + 80*k. Let p(l) = -7*f(l) - 4*q(l). Factor p(a).
-2*a*(a + 2)**2*(a + 5)
Factor -4/7*w**2 - 3576/7*w - 799236/7.
-4*(w + 447)**2/7
Let s = -635944 - -635980. Factor s*h + 18 + 2/3*h**4 + 24*h**2 + 20/3*h**3.
2*(h + 1)*(h + 3)**3/3
Let b(r) be the second derivative of -r**5/140 + 47*r**4/28 + 24*r**3/7 - 142*r**2/7 - 388*r. Factor b(p).
-(p - 142)*(p - 1)*(p + 2)/7
Suppose -4*v - 1863 = z + 1557, z = 0. Let h be -1*(-4 + v/35 - -1). Suppose -144/7*w + h + 36/7*w**2 - 3/7*w**3 = 0. Calculate w.
4
Let k(j) be the first derivative of 9/11*j**2 - 2/11*j**3 + 80 + 0*j. Factor k(p).
-6*p*(p - 3)/11
Solve 3456 - 384*f - 88/3*f**2 - 4/9*f**3 = 0.
-36, 6
Let z be 160/(-28) - (6/(-8))/((-119)/(-952)). Factor -12/7 + 12/7*q**2 + z*q - 2/7*q**3.
-2*(q - 6)*(q - 1)*(q + 1)/7
Let y be 4/((-12)/(-9)) + 132. Suppose 2*f = -5 + y. Find i, given that 132 - 65 - f - 2*i**2 = 0.
-1, 1
Suppose 4*b + 2 = -5*n, 1899*n - 5*b = 1890*n + 33. Factor 0 + 2/9*o**n + 0*o.
2*o**2/9
Let o(c) = -17585*c - 175846. Let w be o(-10). Suppose -48/7*g + 0 + 64/7*g**2 - 4/7*g**w - 12/7*g**3 = 0. Calculate g.
-6, 0, 1, 2
Let t(x) be the third derivative of -2*x**8/105 - 88*x**7/525 - 73*x**6/300 + 107*x**5/150 + 31*x**4/30 + 8*x**3/15 + 2335*x**2. Let t(h) = 0. What is h?
-4, -2, -1/4, 1
Factor 1310/9 + 272/9*d + 2/9*d**2.
2*(d + 5)*(d + 131)/9
Let t = 10901/43556 + -3/10889. Let -3/4*c**2 + 0 - t*c**4 + 0*c + c**3 = 0. Calculate c.
0, 1, 3
Let t be ((-12)/(-3))/((0 + -1)/1). Let l be (-18)/t*(-44)/(-264). Factor l*w**2 + 0 - 3/2*w.
3*w*(w - 2)/4
Let k(g) be the third derivative of -g**8/560 - g**7/420 + g**6/120 + g**5/60 + 15*g**3 - g**2 - 2*g. Let f(d) be the first derivative of k(d). Factor f(z).
-z*(z - 1)*(z + 1)*(3*z + 2)
Let y(o) be the third derivative of -1/7*o**4 + 85*o**2 + 1/420*o**6 + 0*o + 0*o**3 + 0 + 2/105*o**5. Factor y(w).
2*w*(w - 2)*(w + 6)/7
Let s(z) = -135*z**4 - 3495*z**3 - 13365*z**2 + 16390*z + 55. Let k(n) = 5*n**4 + 129*n**3 + 495*n**2 - 607*n - 2. Let o(r) = 55*k(r) + 2*s(r). Factor o(w).
5*w*(w - 1)*(w + 11)**2
Let u(k) be the first derivative of 5184*k**5/5 + 504*k**4 + 196*k**3/3 - 1191. Find x such that u(x) = 0.
-7/36, 0
Let g(m) = -11*m - 52. Let d be g(-5). What is l in l**4 - l**2 - 7*l**3 - 13*l**d + 4*l - 8*l**3 + 24*l**3 = 0?
-1, 0, 1, 4
Let b(z) be the second derivative of 1/60*z**5 + 1/126*z**7 + 4/45*z**6 - 2*z - 10/9*z**3 + 100/3*z**2 + 11 - 41/18*z**4. Suppose b(u) = 0. What is u?
-5, -2, 2
Let i(v) = -3*v**4 + 216*v**3 - 1155*v**2 + 927*v - 3. Let s(d) = 2*d**4 + 4*d**2 - d + 1. Let o(t) = i(t) + 3*s(t). Factor o(b).
3*b*(b - 4)*(b - 1)*(b + 77)
Suppose 968/5 - 88/5*o + 2/5*o**2 = 0. Calculate o.
22
Suppose 0 = 9*h - 3*h + 84. Let d be (-220)/(-350) + (-8)/h. Factor 3/5*f**2 - 9/5*f + d.
3*(f - 2)*(f - 1)/5
Let u = -880 + 285. Let j = u - -597. Factor t - 2/3 - 1/3*t**j.
-(t - 2)*(t - 1)/3
Let t(v) be the first derivative of -3*v**4/4 + 5*v**3 + 2*v**2 + v + 132. Let n(p) = -p**3 + p**2 - 2*p - 1. Let j(h) = 5*n(h) - t(h). Solve j(x) = 0 for x.
-3, -1
Let x be 15/12 + (-142)/440 + 22/(-110). Let 12/11*b + 1/11*b**4 - 1/11*b**3 + 0 - x*b**2 = 0. Calculate b.
-3, 0, 2
Let a(g) = -5*g**2 - 7*g - 9. Let b be a(-3). Let j be (-2 + -2)/(220/b). Suppose 0 + 1/5*d**2 - j*d**3 + 2/5*d + 1/5*d**5 - 1/5*d*