= f*z(a) + 6*j(a). Find s, given that d(s) = 0.
4, 7
Let x(b) be the third derivative of 21*b**6/40 + 19*b**5/2 - 7*b**4 - 2*b**2 + 144*b. Find z such that x(z) = 0.
-28/3, 0, 2/7
Suppose -41*k = -251 - 364. Let m(s) = 2*s**2 - 23*s - 101. Let z be m(k). Factor -z - 7/2*f + 1/2*f**2.
(f - 8)*(f + 1)/2
Let m be (-1*(2 - 0) - 3) + 8. Factor 89*j**4 + 135*j**5 + 85*j**2 - 106*j + 639*j**m - 355*j**4 - 895*j**4 + 16.
(j - 8)*(3*j - 1)**3*(5*j + 2)
Let l(n) be the third derivative of 13/240*n**6 - 1/420*n**7 - 25/48*n**4 - 3/8*n**5 + 0*n - 19*n**2 + 0 + 125/6*n**3. Let l(u) = 0. Calculate u.
-2, 5
Factor -24*q**2 + 2001/4*q + 32799/2 - 3/4*q**3.
-3*(q - 26)*(q + 29)**2/4
Let s(f) = -f**4 - 64*f**3 + 606*f**2 - 1501*f - 2176. Let a(h) = -2*h**4 - 192*h**3 + 1818*h**2 - 4504*h - 6528. Let g(j) = 3*a(j) - 8*s(j). Factor g(k).
2*(k - 17)*(k - 8)**2*(k + 1)
Let m(d) be the first derivative of -d**4/30 + 7*d**3/15 - 2*d**2 + 280*d + 38. Let a(z) be the first derivative of m(z). Factor a(k).
-2*(k - 5)*(k - 2)/5
Let j(u) be the first derivative of 2*u**4/13 - 94*u**3/39 + 105*u**2/13 - 108*u/13 - 103. Factor j(b).
2*(b - 9)*(b - 2)*(4*b - 3)/13
Let t(k) be the first derivative of k**3/6 + 5*k**2/2 + 8*k + 2284. Factor t(y).
(y + 2)*(y + 8)/2
Let f(w) be the first derivative of -2*w**5/15 + w**4/2 + 46*w**3/3 - 143*w**2/3 + 48*w + 2176. What is s in f(s) = 0?
-8, 1, 9
Factor 0 + 12*v**2 + 44/7*v + 36/7*v**3 - 4/7*v**4.
-4*v*(v - 11)*(v + 1)**2/7
Let v(n) = -n - 1. Let a = -827 + 826. Let z(s) = 5*s**2 - 66*s + 129. Let c(x) = a*z(x) + 6*v(x). Factor c(m).
-5*(m - 9)*(m - 3)
Let h(u) be the second derivative of 21*u**5/20 + 67*u**4 + 38*u**3 + 2*u - 6779. Find x such that h(x) = 0.
-38, -2/7, 0
Let q be 4/6 + 1558/(-600) - (-61 + 59). Let s(z) be the second derivative of -3/5*z**2 - 5/6*z**3 - 1/5*z**4 + q*z**5 - 10*z + 0. Solve s(r) = 0 for r.
-1, -2/7, 3
Let w(n) = n**3 + 13*n**2 - 131*n - 1712. Let v be w(-12). Let 22/7*l**3 + 2*l**2 + 2/7*l**v - 20/7*l - 16/7 - 2/7*l**5 = 0. Calculate l.
-2, -1, 1, 4
Let n be (-28)/(-126)*(-6)/(9/((-162)/12)). Suppose -6*c + 32/5*c**n + 4/5 + 66/5*c**3 = 0. What is c?
-1, 2/11, 1/3
What is q in -1/3*q**4 + 21/2 - 1/6*q**3 + 131/6*q**2 - 191/6*q = 0?
-9, 1/2, 1, 7
Let m(w) be the first derivative of 2*w**3/3 - 1376*w**2/3 + 1832*w/3 + 229. Factor m(j).
2*(j - 458)*(3*j - 2)/3
Let z(j) be the first derivative of 8*j**6/15 + 3*j**5 + 8*j**4/3 - 2*j**3 - 71*j + 22. Let n(q) be the first derivative of z(q). Suppose n(w) = 0. What is w?
-3, -1, 0, 1/4
Let y be 2402/3984 - 48/384. Let r = y + -12/83. Factor 2/3*d**3 - 1/6*d**4 + 0 + r*d - 5/6*d**2.
-d*(d - 2)*(d - 1)**2/6
Suppose 0 = 3*u - 42 + 33. Let -u*i**2 + 36*i - 45*i - 45*i + 9*i + 48 = 0. What is i?
-16, 1
Let u(y) be the first derivative of y**8/3696 + 4*y**7/1155 + 3*y**6/220 - 9*y**4/88 - 73*y**2 - 78. Let z(b) be the second derivative of u(b). Factor z(h).
h*(h - 1)*(h + 3)**3/11
Let k = 208 + -202. Let q(a) = -9*a**3 + 5*a**2 - a - 5. Let h(c) = -10*c**3 + 6*c**2 - 2*c - 6. Let i(n) = k*q(n) - 5*h(n). Factor i(y).
-4*y*(y - 1)*(y + 1)
Let n(u) = 10*u**4 + 70*u**3 - 75*u**2 - 270*u - 175. Let w(c) = c**3 + 7*c. Let j(b) = n(b) - 5*w(b). Factor j(o).
5*(o + 1)**2*(o + 7)*(2*o - 5)
Factor -15/2*a**2 - 24*a - 22 - 1/2*a**3.
-(a + 2)**2*(a + 11)/2
Let m(n) be the third derivative of -n**5/15 - 160*n**4/3 - 51200*n**3/3 - 1946*n**2. Suppose m(v) = 0. Calculate v.
-160
Suppose 12752*t = 12747*t + q + 6, -2*q - 12 = 4*t. Let t + 4/13*k - 2/13*k**4 + 2/13*k**5 - 6/13*k**3 + 2/13*k**2 = 0. Calculate k.
-1, 0, 1, 2
Let y = -13379/4 + 3345. Let z(r) be the second derivative of 2*r**3 + 0*r**2 - 23*r + 0 + y*r**4. Factor z(b).
3*b*(b + 4)
Let p(f) = f**2 - 31*f + 86. Let v be p(28). Factor -14*n**2 + 99*n + n + 48 + 4*n**3 + 61*n**v + 9*n**2.
4*(n + 1)**2*(n + 12)
Let a = -54096/5 + 874657/85. Let p = -529 - a. Solve 2/17*f**3 - 10/17*f - p*f**2 - 6/17 = 0.
-1, 3
Let u be ((-1)/8)/(1904/(-21760)). Determine l so that -8/7*l**2 + 6/7*l**3 + 4/7 - u*l = 0.
-1, 1/3, 2
Let i(p) be the third derivative of -p**5/120 + p**4/2 - 11*p**3/3 - 597*p**2. Factor i(q).
-(q - 22)*(q - 2)/2
Suppose -41*w - 660 = -19*w. Let p(i) = i**2 + 20*i - 261. Let c be p(w). Factor 507/4*v**2 + c*v + 3.
3*(13*v + 2)**2/4
Let b(j) be the second derivative of j**5/5 + 6*j**4 + 10*j**3 - 68*j**2 - 1919*j. Factor b(t).
4*(t - 1)*(t + 2)*(t + 17)
Let r(o) = 11*o**3 - 77*o**2 - 139*o - 87. Let k(b) = -21*b**3 + 152*b**2 + 279*b + 172. Let q(d) = -6*k(d) - 11*r(d). Factor q(l).
5*(l - 15)*(l + 1)**2
Let d(o) be the second derivative of -o**10/6720 - o**9/1008 - 3*o**8/4480 + o**4/6 + o**3 + o + 17. Let s(n) be the third derivative of d(n). Factor s(a).
-3*a**3*(a + 3)*(3*a + 1)/2
Let y(n) = -5*n**4 - 20*n**3 + 15*n. Let f(u) = 42 - 92 + 50 - u**3 - u. Let i(z) = -5*f(z) + y(z). Factor i(q).
-5*q*(q - 1)*(q + 2)**2
Let p(f) = f**2 - 55*f - 44. Let u(t) = -2*t**2 - 18*t - 41. Let q be u(-5). Let g(x) = -x**2 + x - 1. Let b(y) = q*p(y) - 4*g(y). Factor b(z).
3*(z + 1)*(z + 16)
Let k(l) = -l**3 - 93*l**2 - 364*l + 380. Let a be k(-5). Factor 25/6*f**2 + a + 0*f - 1/6*f**3.
-f**2*(f - 25)/6
Let q be (16/12)/(55/15). Factor -2/11*f**2 + q*f - 2/11.
-2*(f - 1)**2/11
Let i(w) be the second derivative of -w**5/10 + 37*w**4/6 + 70*w**3 - 25*w + 70. Suppose i(y) = 0. What is y?
-5, 0, 42
Find d, given that -3/2*d**2 - 24453075/2 + 8565*d = 0.
2855
Suppose 184*j**3 + 53*j + 4*j**5 + 22*j**4 - 255*j + 39*j**4 - 86*j - 9*j**4 + 48*j**2 = 0. Calculate j.
-6, -2, 0, 1
Let d(j) = j**3 - 13*j**2 - 2*j + 29. Let m be d(13). Find a, given that -13*a**m + 6*a**3 - 105*a + 4*a**3 - 39*a**2 + 147 = 0.
-7, 1
Let r be ((-66)/(-30))/(2/20). Factor r*i**3 - 13*i**3 + 114*i**2 + 10092*i + 60*i**2 + 195112 - 8*i**3.
(i + 58)**3
Let x(o) = 2*o**2 - 86*o - 9. Suppose -2*a - 13 = -2*y - 7, -a - 5 = 0. Let h(i) = 3. Let b(r) = y*x(r) - 6*h(r). Determine v, given that b(v) = 0.
0, 43
Let m(c) be the second derivative of -5*c**7/189 - 2*c**6/45 + 29*c**5/90 + 13*c**4/27 - 4*c**3/3 - 8*c**2/9 - 627*c. Suppose m(j) = 0. Calculate j.
-2, -1/5, 1, 2
Let j(s) be the second derivative of -s**4/36 - 5*s**3/18 + 11*s**2 - 409*s + 2. Suppose j(x) = 0. What is x?
-11, 6
Let k(f) = f**2 + 1. Suppose -2*p - 15 = -7, -72 = -4*s + 3*p. Let y(a) = a**3 + 6*a**2 - 2*a + 5. Let z(g) = s*k(g) - 3*y(g). Suppose z(i) = 0. Calculate i.
-2, 0, 1
Suppose 4*k = 2*z + 5*k - 7, 5*k = -z + 17. Factor -689*u**z + 60*u - 4*u**3 - u**3 + 709*u**2.
-5*u*(u - 6)*(u + 2)
Let f(b) be the first derivative of 13*b**6/5 + 308*b**5/25 + 74*b**4/5 - 16*b**3/15 - 109. Factor f(m).
2*m**2*(m + 2)**2*(39*m - 2)/5
Suppose -4 = 5*t - 94. Factor 22 + t + 17*n + 18*n + 7*n**2 - 12*n**2.
-5*(n - 8)*(n + 1)
Let o(q) be the first derivative of -q**4/7 - 44*q**3/21 - 52*q**2/7 - 64*q/7 + 732. Factor o(y).
-4*(y + 1)*(y + 2)*(y + 8)/7
Suppose -418*c - 244*c + 3*c = 138*c - 1594. Determine q, given that -28/5 + 2*q**c - 1/5*q**3 - 17/5*q = 0.
-1, 4, 7
Let r(t) = -5*t**5 + 16*t**4 + 30*t**3 - 50*t**2 - 104*t - 46. Let l(d) = d**4 + d - 1. Let j(z) = l(z) - r(z). Factor j(h).
5*(h - 3)**2*(h + 1)**3
Let f(u) be the first derivative of 5*u**4/4 - 260*u**3/3 + 1134. Determine l so that f(l) = 0.
0, 52
Let a(f) = -388*f + 22506. Let v be a(58). Determine x, given that -1/6*x**v + 7/6*x - 5/3 = 0.
2, 5
Let o(j) be the third derivative of j**5/30 + j**4/2 + 8*j**3/3 - 1581*j**2. Factor o(k).
2*(k + 2)*(k + 4)
Determine g so that 4506002/9 + 2/9*g**2 + 6004/9*g = 0.
-1501
Let d(p) = -10*p**2 + 476*p + 1024. Let y(t) = t**2 - t - 10. Let b(z) = d(z) + 8*y(z). Find o, given that b(o) = 0.
-2, 236
Let v(q) be the second derivative of -13/15*q**6 - 8/5*q**5 + 0*q**2 - 2/3*q**4 - 9*q + 3 - 1/7*q**7 + 0*q**3. Find h, given that v(h) = 0.
-2, -1/3, 0
Let r(f) be the second derivative of 1/6*f**4 + 2 + 1/10*f**5 - 12*f**2 - 8/3*f**3 - 4*f. Solve r(j) = 0.
-2, 3
Let x = 103983625985/60657777593 - -1558/3594109. Let a = x - 1/2411. Solve -2/7*q**2 + a - 2/7*q = 0 for q.
-3, 2
Let -279/7 - 3/7*d**2 + 102/7*d = 0. What is d?
3, 31
Suppose -2*o + 0*o - 10 = 0, -35 = -5*w + o. Suppose 5*d = -4*z + 4, -4*z = -w*d + 4*d - 32. Let -18 - 18*v - 2/3*v**3 - z*v**2 = 0. Calculate v.
-3
Let t(m) be the third derivative o