*6. Let u(n) be the first derivative of z(n). Factor u(i).
-3*(i + 1)*(i + 4)/7
Let b(s) be the second derivative of 0 - 18*s + 0*s**2 - 1/5*s**5 - 128/3*s**3 + 16/3*s**4. Determine u so that b(u) = 0.
0, 8
Let p(l) = -10*l - 4. Let q(w) = 2*w - 1. Let k(t) = -p(t) - 6*q(t). Let x be k(4). Solve 6*s**3 - 3*s**3 + 3*s**x - s**5 - s**2 = 0.
-1, 0, 2
Let j(a) be the first derivative of a**6/180 + a**5/30 - a**4/4 + 5*a**3/9 + 27*a**2/2 - 134. Let q(d) be the second derivative of j(d). Factor q(z).
2*(z - 1)**2*(z + 5)/3
Factor -53*f**2 - 79*f**2 + 264 + 301*f**2 + 321*f - 109*f**2 + 3*f**3.
3*(f + 1)*(f + 8)*(f + 11)
Find p such that 0 + 9/2*p + p**2 - 1/6*p**3 = 0.
-3, 0, 9
Suppose -5 = -5*d, d - 2*d - 14 = -5*m. Factor -18*s**4 - 3*s**4 + 13*s**3 - s**m + 23*s**4.
2*s**3*(s + 6)
Let b(s) be the third derivative of -s**6/60 + 19*s**5/110 + 49*s**4/44 + 79*s**3/33 + 32*s**2 - 2*s - 19. Find c such that b(c) = 0.
-1, 79/11
Let y(v) be the first derivative of 15*v + 125 - 2*v**5 - 35/2*v**2 - 5/3*v**3 + 35/4*v**4. What is w in y(w) = 0?
-1, 1/2, 1, 3
Let m(y) be the first derivative of -5*y**4/4 + 10*y**3 - 20*y**2 + 556. Find v such that m(v) = 0.
0, 2, 4
Suppose -21*n + 6 = -18*n. Let g(m) be the first derivative of 7*m**4 - 6 - 8/5*m**5 - 2*m**n - 8*m**3 + 8*m. Find a, given that g(a) = 0.
-1/2, 1, 2
Let w(m) be the first derivative of 2*m**5/45 + 4*m**4/9 + 38*m**3/27 + 4*m**2/3 + 1629. Solve w(u) = 0 for u.
-4, -3, -1, 0
Let z be (2 + -2)/(-7*(-120)/84). Solve -1/5*k**3 + z - 3/5*k**2 - 2/5*k = 0.
-2, -1, 0
Let d = -92241 + 276745/3. Suppose d*f + 8 - 2/3*f**2 = 0. What is f?
-1, 12
Let s(m) be the second derivative of m**5/35 + 18*m**4/7 - 152*m**3/7 + 464*m**2/7 + 691*m + 3. Find i, given that s(i) = 0.
-58, 2
Suppose -2*y = -2*b - 12 - 4, 2*b + 4 = -y. Let x be (-2 + 10/y)*(-2 + 6). Factor -3/5*k - 6/5 + 3/5*k**3 + 6/5*k**x.
3*(k - 1)*(k + 1)*(k + 2)/5
Solve 2/9*r**2 + 26/9*r - 28/9 = 0 for r.
-14, 1
Suppose -x + 5*l = -2 - 9, 5*x + 3 = -4*l. Let n be 3/28*2*16/x. Solve n*q**2 + 4/7*q**3 - 22/7*q**4 - 2/7 + 8/7*q - 12/7*q**5 = 0 for q.
-1, 1/6, 1
Let p = 1465 - 1460. Let w(s) be the first derivative of -49*s + 1/4*s**4 - p*s**3 - 36 + 63/2*s**2. Solve w(i) = 0.
1, 7
Let m be 87 + -108 + 296/14. Factor m*d**2 + 0 - 3/7*d**3 + 3/7*d - 1/7*d**4.
-d*(d - 1)*(d + 1)*(d + 3)/7
Let y(a) = 19*a**2 - 80*a + 1363. Let f(w) = 22*w**2 - 81*w + 1362. Suppose 6*v = 4*v - 14. Let u(g) = v*y(g) + 6*f(g). Factor u(t).
-(t - 37)**2
Let g(c) = 2*c**3 - 31*c**2 - 3*c + 24. Let x(u) = u**3 - u**2 - 2*u - 6. Let q(v) = 2*g(v) - 2*x(v). Find z such that q(z) = 0.
-1, 1, 30
Let y = -10 - -13. Suppose -5*n + 90 = 80. Factor -6*x**2 - 1211 + 1211 + n*x**y.
2*x**2*(x - 3)
Suppose 0 = 1107862*k - 1107933*k. Let c = -713 - -4999/7. Factor -8/7*v**3 - 4/7*v**4 + 4/7*v**2 + c*v + k.
-4*v*(v - 1)*(v + 1)*(v + 2)/7
Let p(v) = -3*v**4 + 3*v**3 - 8*v**2 - 10*v. Let q(s) = -32*s**4 + 31*s**3 - 80*s**2 - 99*s. Let a(n) = -21*p(n) + 2*q(n). Factor a(k).
-k*(k - 3)*(k + 2)**2
Let q(v) be the first derivative of -v**5/35 - 89*v**4/28 + 61*v**3/7 + 89*v**2/14 - 26*v - 2870. Let q(h) = 0. Calculate h.
-91, -1, 1, 2
Let x(v) = 18*v**2 + 3*v - 51. Let c(y) = y**2 - 1. Let t be (-3 + 13)/5 + -1. Let u(r) = t*x(r) - 15*c(r). Solve u(b) = 0.
-4, 3
Let i = -99 - -118. Let g = -16 + i. Solve -2/13*q**g - 2/13*q**2 + 0 + 4/13*q = 0.
-2, 0, 1
Let n be -6*(-49)/(-2835)*(36/14)/(-3). Let h(v) be the second derivative of -4/15*v**2 + n*v**3 + 0 - 1/90*v**4 + 9*v. Factor h(j).
-2*(j - 2)**2/15
Let z be 3291*((-3)/(-2) + 297/(-270)). Let n = -1314 + z. What is s in 2/5 + 16/5*s**2 + n*s = 0?
-1/2, -1/4
Let t(h) be the second derivative of -h**5/40 + h**4 - 16*h**3 - 23*h**2 - 14*h. Let j(s) be the first derivative of t(s). Find o, given that j(o) = 0.
8
Let j be -2*(6206/232 - 27). Find d, given that -j*d**2 - 7/2*d - 6 = 0.
-4, -3
Let 613*x**5 + 623*x**5 - 22*x**3 + 76*x**2 + 80*x - 124*x**4 - 86*x**3 - 1256*x**5 = 0. What is x?
-5, -1, 0, 4/5
Find t such that -22*t**3 + 45787912*t**4 + 46*t**2 - 45787910*t**4 + 2*t**3 - 48 + 20*t = 0.
-1, 1, 4, 6
Let i(u) be the third derivative of 0*u**4 - 5 + 0*u**3 + 0*u + 1/15*u**6 + u**2 + 1/15*u**5. Factor i(k).
4*k**2*(2*k + 1)
Let l(v) be the second derivative of -1/9*v**6 + 3 - 1/21*v**7 - 3*v + 1/18*v**4 - 1/30*v**5 + 0*v**2 + 0*v**3. Factor l(y).
-2*y**2*(y + 1)**2*(3*y - 1)/3
Let l(f) be the first derivative of -f**3/9 - 671*f**2/3 - 450241*f/3 - 2283. What is i in l(i) = 0?
-671
Let q(v) = 131*v**2 - 4714*v - 72. Let l be q(36). Determine p so that 0 - 1/6*p**3 + l*p**2 + 1/6*p = 0.
-1, 0, 1
Suppose 391*l - 121*l - 440 - 910 = 0. Find u, given that 1/3*u**2 + l + 8/3*u = 0.
-5, -3
Suppose 15 = 22*d - 17*d. Suppose -4*f + d*x + 14 = -21, -x = -5*f + 30. Let 8*p**3 - 15*p + 0*p**f - 5*p**5 + p**5 + 11*p = 0. What is p?
-1, 0, 1
Let s be (-10)/6*(-36)/20. Factor -2 - 5 - 4*r**4 + 8*r**2 + 7 + 4*r**s.
-4*r**2*(r - 2)*(r + 1)
Let b(r) be the first derivative of r**3/3 - 146*r**2 + 291*r - 3166. Factor b(p).
(p - 291)*(p - 1)
Suppose 5*m - 3 = 3*w, 155*w - 1 = -5*m + 156*w. Suppose -2*x = -7 + 1. Factor -4/15*t**2 + 0*t**4 + 0*t + 2/5*t**x - 2/15*t**5 + m.
-2*t**2*(t - 1)**2*(t + 2)/15
Let 13/4*j + 0*j**4 - 3 + 3*j**2 - 7/2*j**3 + 1/4*j**5 = 0. What is j?
-4, -1, 1, 3
Factor -3/4*x**2 + 0 - 42*x.
-3*x*(x + 56)/4
Let y(b) be the third derivative of b**7/7560 + 13*b**6/2160 + 5*b**4/4 + 4*b**2. Let u(q) be the second derivative of y(q). Factor u(p).
p*(p + 13)/3
Let z = 200715/2 + -100325. What is b in 265*b - z*b**2 - 40 = 0?
2/13, 8
Let p(c) = 2*c**4 + 22*c**3 - 54*c**2 - 12*c + 67. Let l(u) = u**4 + 23*u**3 - 54*u**2 - 12*u + 68. Let i(y) = 5*l(y) - 4*p(y). Factor i(f).
-3*(f - 6)*(f - 2)**2*(f + 1)
Let o(t) = 3*t**2 - 2*t - 4. Suppose 15*i - 17*i + 36 = 0. Suppose d = -d + i. Let u(g) = -7*g**2 + 4*g + 9. Let b(v) = d*o(v) + 4*u(v). Factor b(x).
-x*(x + 2)
Let g(c) = -3*c**2 + 21*c - 37. Let f be g(6). Let q be f/(-45) - (-62)/(-279). Determine d so that 0 + 0*d**2 + 0*d - q*d**4 + 3/5*d**3 = 0.
0, 3
Let h be -98 - 10*(-12)/(-30). Let q be ((-68)/h)/(1/3). What is x in 0 - 10/7*x**q + 0*x - 2/7*x**3 = 0?
-5, 0
Let o(k) = 24*k**3 + 18*k**2 - 231*k + 255. Let z(d) = 3*d**3 + 2*d**2 - 29*d + 32. Let s(y) = 4*o(y) - 33*z(y). Find m, given that s(m) = 0.
-3, 1, 4
Find l such that 268/3*l + 104/3 + 1/3*l**5 + 20/3*l**4 + 109/3*l**3 + 254/3*l**2 = 0.
-13, -2, -1
Let d = 43 - 41. Let f(a) be the first derivative of 79*a**d - 21 + 4*a**3 - 73*a**2 + 0 + a**4 + 4*a. Factor f(m).
4*(m + 1)**3
Factor -3*n**3 + 4*n - n**3 + 3*n**2 - 20 + 12*n**2 + 4 + n**2.
-4*(n - 4)*(n - 1)*(n + 1)
Let v = 41266 - 41263. Determine q, given that -36501/2 + 3/2*q**v - 207/2*q**2 + 4761/2*q = 0.
23
Suppose 0 = 5*r + 3*d - 19, 3*r + 2*d = -d + 15. Factor 62 + 2*a**2 - 123 + 12*a - r*a**3 + 61 - 4*a**2.
-2*a*(a - 2)*(a + 3)
Let x(t) be the second derivative of 7/102*t**4 + 3 + 8/51*t**3 + 0*t**2 - 4*t. Suppose x(r) = 0. Calculate r.
-8/7, 0
Solve -49/3*t**3 + 22*t**2 + 0*t + 2*t**4 + 1/3*t**5 + 0 = 0.
-11, 0, 2, 3
Let u(a) = -a**3 - 73*a**2 + 540*a + 17866. Let q be u(-77). What is v in 2*v**q + 14*v + 8 - 3/2*v**3 = 0?
-2, -2/3, 4
Let v be (-10)/((-4)/(-6) + 237/(-342)). Suppose v*u - 18 = 371*u. Determine f so that 14/9*f**u - 4/9*f + 0 - 10/9*f**3 = 0.
0, 2/5, 1
What is g in 109*g + 4*g**2 - 123*g + 38*g**3 - 64 - 21*g - 2*g**5 - 61*g = 0?
-4, -1, 2, 4
Factor -239/2*p**2 + 22*p**3 + 97/2*p - 5.
(p - 5)*(4*p - 1)*(11*p - 2)/2
Let y(d) be the second derivative of -d**4/78 + 37*d**3/39 - 36*d**2/13 - 3632*d. Factor y(a).
-2*(a - 36)*(a - 1)/13
Let w(f) be the first derivative of -2*f**3/15 + 107*f**2/5 + 216*f/5 - 1305. Determine z, given that w(z) = 0.
-1, 108
Factor 52/3*p + 0 - 79/3*p**2 + 1/2*p**3.
p*(p - 52)*(3*p - 2)/6
Let w(p) = -p**2 + 6*p + 15. Let u be w(9). Let a be (-26)/169 + u/(-39). Factor 0 + a*c - 4/13*c**2 + 2/13*c**3.
2*c*(c - 1)**2/13
Let b(q) = 70*q**2 - 195*q + 15. Suppose -13*g + 5*g = 32. Let m(x) = -14*x + 0*x**2 + 2*x**2 + 3*x**2 + 0*x**2 + 1. Let k(s) = g*b(s) + 55*m(s). Factor k(n).
-5*(n - 1)**2
Let y(h) = -2*h**2 - 18*h + 2. Let a be y(-10). Let l(c) = c + 18. Let x be l(a). Solve t**2 - 1/2*t**3 + 0 + x*t = 0 for t.
0, 2
Let p(y) be the third deriv