740 - -2/13493. Let x(f) be the second derivative of 1/60*f**5 + l*f**6 + 0 + 1/72*f**4 + 21*f + 0*f**2 + 0*f**3. Factor x(t).
t**2*(t + 1)**2/6
Let l = -705 + 711. Let q(n) be the first derivative of 6/5*n**5 + 0*n - 1/3*n**l + 0*n**3 - 1 + 0*n**2 - n**4. Factor q(w).
-2*w**3*(w - 2)*(w - 1)
Let y(p) be the second derivative of -p**5/45 - 536*p**4/27 - 143648*p**3/27 - 3182*p. Suppose y(q) = 0. What is q?
-268, 0
Suppose 1036*d - 419*d = 0. Determine g so that -48*g**2 - 46/5*g**3 + d + 288/5*g - 2/5*g**4 = 0.
-12, 0, 1
Let x = 71549/8 - 8941. Let n(w) be the first derivative of 3/16*w**2 - x*w - 3/32*w**4 + 7/8*w**3 + 7. Let n(f) = 0. Calculate f.
-1, 1, 7
Let -68*t - 242*t**2 - 8*t**4 - 138*t**3 + 16*t**4 + 452*t**3 - 12*t = 0. Calculate t.
-40, -1/4, 0, 1
Let i(g) = -4*g**2 - 175*g + 2284. Let x(b) = -3*b**2 - 117*b + 1520. Let m(h) = 5*i(h) - 7*x(h). Factor m(w).
(w - 30)*(w - 26)
Let z(l) be the first derivative of -224*l**2 + 4/3*l**3 + 12544*l + 26. Find b, given that z(b) = 0.
56
Let a(o) be the third derivative of o**7/2100 - o**6/900 - 2*o**5/75 + o**4/5 + 26*o**3/3 - 18*o**2. Let h(t) be the first derivative of a(t). Factor h(i).
2*(i - 2)**2*(i + 3)/5
Let m(u) be the third derivative of u**5/12 - 145*u**4/24 - 155*u**3/3 + 291*u**2 - u - 1. Factor m(l).
5*(l - 31)*(l + 2)
Let s(t) be the second derivative of -t**6/6 - t**5/4 + 5*t**4/12 + 5*t**3/6 + 1023*t. Solve s(m) = 0 for m.
-1, 0, 1
Factor 969/2 + 3873/4*v + 483*v**2 - 3/4*v**3.
-3*(v - 646)*(v + 1)**2/4
Let m(z) be the third derivative of 0 + 0*z**3 + 1/3*z**4 + 0*z - 85*z**2 - 2/15*z**7 - 2/5*z**6 - 1/5*z**5. Factor m(i).
-4*i*(i + 1)**2*(7*i - 2)
Solve 880*h + 266/3*h**2 + 20/9*h**3 - 800/9 = 0.
-20, 1/10
Let p = 1843 - 1847. Let j be (6/(-81))/(p/84). Let -4/9*g + 0 - 2*g**3 - 10/9*g**4 - j*g**2 - 2/9*g**5 = 0. Calculate g.
-2, -1, 0
Let o(f) = f**2 - 14*f + 18. Let z be o(12). Let t be 39/z*9/(-117). Factor 0 - t*r**2 - 1/2*r.
-r*(r + 1)/2
Let b be (13 - (-49)/(-3))*1*-3. Let t be 1/(b/(-4) + 3). Let -1/3*s**4 + 2/3*s**3 + 0 + 0*s**t - 1/3*s**5 + 0*s = 0. Calculate s.
-2, 0, 1
Let y be 0 + -1 - (-14)/(84/(-18)). Let q be 0 + y - (-30)/(2 + 3). Suppose -6/5*n - 1/5*n**q - 9/5 = 0. Calculate n.
-3
Let q(l) be the second derivative of l**7/210 - l**6/10 - 107*l**5/50 + 361*l**4/30 - 249*l**3/10 + 253*l**2/10 + 12*l - 15. Factor q(v).
(v - 23)*(v - 1)**3*(v + 11)/5
Let m(b) be the third derivative of -b**6/660 - b**5/165 - b**4/132 - 95*b**2 + b + 1. Find l, given that m(l) = 0.
-1, 0
Let a(r) = 27*r**2 - 2. Let x be a(1). Suppose w = -x + 32. Let 2 + 0*c - 8*c**2 + 0*c + w*c**2 + c = 0. Calculate c.
-1, 2
Solve -23/3*z**3 - 1/3*z**5 + 0 + 0*z**2 + 0*z + 8*z**4 = 0 for z.
0, 1, 23
Let s(q) be the second derivative of -q**4/18 + 26*q**3/9 - 16*q**2 - 3016*q. Let s(b) = 0. Calculate b.
2, 24
Let k = 191 + -188. Let -28 + 0*p + k*p - 2*p - p**2 + 28 = 0. What is p?
0, 1
Let y be (14 + (-584)/40)/((-1)/5). Let w(v) be the first derivative of 2/15*v**y - 7 + 1/5*v**2 + 0*v. Find u such that w(u) = 0.
-1, 0
Let q be 29/8 + (-4)/((-256)/24). Find z, given that -50*z**3 + 48*z**4 - 127*z**q + 64*z**4 - 15*z**2 = 0.
-3, -1/3, 0
Let x(r) = 3*r + 151. Let a(l) = -48*l**3 - 3*l**2 + 3*l - 1. Let o be a(1). Let u be x(o). Let 33/4*d**2 + 1/4 + 5/2*d + 4*d**u + 10*d**3 = 0. Calculate d.
-1, -1/4
Suppose -2/11*u**5 - 2592/11*u - 494/11*u**3 - 1674/11*u**2 - 62/11*u**4 - 1512/11 = 0. Calculate u.
-21, -3, -2
Let w(i) = -4*i**3 - 35*i**2 - 49*i + 3. Let c be w(-7). Let a(d) be the first derivative of 1/11*d**2 + 9 + 0*d - 2/33*d**c. Suppose a(u) = 0. What is u?
0, 1
Let t(o) = -10*o**3 + 10*o**2 - 6*o - 14. Let m(z) = -14*z**3 + 10*z**2 - 7*z - 13. Let v(j) = -2*m(j) + 3*t(j). What is l in v(l) = 0?
-1, 2, 4
Let f(t) be the second derivative of t**3 + 0 - 1/12*t**4 - 150*t - 5/2*t**2. Factor f(x).
-(x - 5)*(x - 1)
Let f(h) be the third derivative of h**6/90 - 49*h**5/15 - 149*h**4/9 + 2231*h**2. Let f(u) = 0. What is u?
-2, 0, 149
Let c(n) be the third derivative of -n**8/112 + 3*n**7/70 + 11*n**6/20 - 3*n**5/5 - 9*n**4 + 2*n**2 + 182*n. Let c(p) = 0. What is p?
-3, -2, 0, 2, 6
Suppose -i - 2 = 2*z, -z = 2*i + 2*z + 2. Let h be 16/(-32)*31*-2. Factor -2*o**3 - 10*o**3 - 34*o + 12*o**i + h*o.
-3*o*(2*o - 1)**2
Let u(i) be the third derivative of 0*i - 9/40*i**6 + 109*i**2 - 1/70*i**7 + 1/2*i**5 + 0*i**3 + 0 + 0*i**4. Let u(t) = 0. What is t?
-10, 0, 1
Let t be 17 + 27/(675/(-415)). Let 0*s + 2/5*s**2 + 0 + t*s**5 - 2/5*s**3 - 2/5*s**4 = 0. Calculate s.
-1, 0, 1
Let l(o) = 3*o**2 - 88*o - 148. Let s be l(31). Let h = -10 + 18. Determine w so that -3*w**3 + w**2 - 11*w**2 - 2*w**3 + h*w + s*w = 0.
-3, 0, 1
Let f(k) = 44*k**3 + 82*k**2 + 364*k + 5. Let l(a) = -53*a**3 - 81*a**2 - 364*a - 6. Let w(x) = 6*f(x) + 5*l(x). Factor w(m).
-m*(m - 91)*(m + 4)
Let q = 90 - 87. Let -5713*a**2 - 2162*a**q + 4328*a**2 + 11664 - 2*a**5 + 112*a**4 + 6962*a**2 + 10083*a**2 - 25272*a = 0. What is a?
1, 18
Factor 681*d**2 + 45*d + 58 - 680*d**2 - 141*d - 355.
(d - 99)*(d + 3)
Let x(d) be the second derivative of 1/20*d**6 - d**3 - 49*d - 5/6*d**4 - 1/40*d**5 + 0*d**2 + 0. What is a in x(a) = 0?
-2, -2/3, 0, 3
Let w(m) = 63*m - 32. Let a be w(2). Find z, given that -74*z**2 - 33 + 4*z**3 + a*z**2 + 1 - 2*z + 10*z = 0.
-4, -2, 1
Let j(g) be the second derivative of -g**7/4620 + 31*g**3/3 - 2*g - 5. Let k(r) be the second derivative of j(r). Determine z, given that k(z) = 0.
0
Let k(m) be the first derivative of 13 - 4/3*m**3 + 0*m - 1/12*m**4 - 2/3*m**2 + 4/5*m**5 - 2/9*m**6. Suppose k(l) = 0. What is l?
-1/2, 0, 2
Let c = -83 - -85. Let j = 0 - -2. Determine a, given that -65*a**j - 10*a + 30*a**2 + 30*a**c - 5 = 0.
-1
Let a = 8/7117 + 7093/21351. Let -2/3 - w**2 + a*w**3 - 5/3*w + 1/3*w**4 = 0. What is w?
-1, 2
Let o(s) = -s**3 - 18*s**2 - 6*s + 416. Let z be o(-16). Let u(b) be the second derivative of 0*b**3 + z + 1/16*b**4 + 0*b**2 - 14*b. Factor u(g).
3*g**2/4
Let t(g) = -182403*g**2 - 1850*g - 3. Let j(r) = -r**2 - 30*r - 1. Let k(p) = 2*j(p) + t(p). Find l, given that k(l) = 0.
-1/191
Let i(d) be the third derivative of -d**8/10080 + d**7/2520 + d**6/180 + d**5/30 + 5*d**3/6 - 18*d**2. Let k(t) be the third derivative of i(t). Factor k(m).
-2*(m - 2)*(m + 1)
Let l(v) = -17*v**3 - 5*v**2 - 6*v. Let q = -402 + 400. Let m(n) = -2*n**3. Let j(u) = q*l(u) + 18*m(u). Factor j(a).
-2*a*(a - 6)*(a + 1)
Let f(t) = 2*t - 11. Let h be f(0). Let d = 26 + h. Factor 3 + 18 - 1 + d*i - 5*i**2.
-5*(i - 4)*(i + 1)
Let g = 25 - 4. Let m be (360/100)/(g/30). Suppose 108/7 - m*t + 3/7*t**2 = 0. Calculate t.
6
Suppose 0 = 27*f - 15*f - 1920. Suppose 28*j**2 + 135 + 11 + 84 + f*j - 4*j**3 - 54 = 0. Calculate j.
-2, 11
Let p = 176 - 80. Determine g, given that 47*g - p - 8*g**2 - 3162*g**3 - 23*g + 3158*g**3 + 56*g = 0.
-6, 2
Let f(y) be the third derivative of 2/3*y**4 + 2/105*y**7 - 91*y**2 + 0 + 10/3*y**3 - 2/5*y**5 + 0*y - 2/15*y**6. Solve f(n) = 0.
-1, 1, 5
Let x(s) = 12*s + 42. Let d be x(-10). Let c = d - -82. Find k such that 21*k**4 + 3*k**5 + 3*k - 4*k**3 - 2*k**5 + 2*k**2 - 23*k**c = 0.
-1, 0, 1, 3
Let m = -1792990 + 846291921/472. Let a = 1/59 + m. Factor -1/4 + 1/2*x**3 + a*x - 13/8*x**2.
(x - 2)*(x - 1)*(4*x - 1)/8
Let b(i) = 7*i**2 - 7*i + 42. Let l be b(3). Let w = -582/7 + l. Factor -2/7*o**3 + 10/7*o**2 - 2*o + w.
-2*(o - 3)*(o - 1)**2/7
Let i = 28/13 - 70/117. Let h(d) be the first derivative of 3*d**2 + i*d**3 + 14 + 4/3*d. Factor h(u).
2*(u + 1)*(7*u + 2)/3
Let c(a) = 2*a**4 + 7*a**3 + 3*a**2 + 3*a. Let d(j) = j**4 + j**3 + j**2 + j. Let b(p) = p**2 - 15*p + 57. Let f be b(6). Let n(r) = f*d(r) - c(r). Factor n(m).
m**3*(m - 4)
Solve -7/5*l**2 - 1/5*l**4 + 36/5*l - 8/5*l**3 + 36/5 = 0 for l.
-6, -3, -1, 2
Let h = 53983/107972 + 3/107972. Factor 0 - h*p**2 + 9*p.
-p*(p - 18)/2
Let c be 5 + 41338/(-7592) + 1/4. Let l = -3/73 - c. What is b in -l*b**3 - 6/13*b + 0 + 8/13*b**2 = 0?
0, 1, 3
Let p = 3853 + -3850. Let i(m) be the third derivative of 0*m - 9*m**2 - 1/45*m**5 - 1/36*m**6 - 2/315*m**7 + 0*m**4 + 0 + 0*m**p. Factor i(n).
-2*n**2*(n + 2)*(2*n + 1)/3
Let w(q) = -q**2 + 29*q + 252. Let c be w(36). Let k(g) be the first derivative of 4 + 1/10*g**5 + 1/2*g**2 - 1/2*g**3 + 0*g + c*g**4. Factor k(d).
d*(d