e the first derivative of l**6/60 - 4*l**5/25 + l**4/2 - l**3/3 - 21*l**2/20 + 9*l/5 - 854. Suppose h(u) = 0. Calculate u.
-1, 1, 2, 3
Suppose 5*g + 2 = 6*g. Factor -6*u**3 - 6*u**2 + 8*u**2 - 2*u**g - 2*u**4.
-2*u**3*(u + 3)
Factor 16*d + 2*d**3 + 2*d**4 - 9*d**2 - 21*d**3 + 2*d**5 + d**2 + 7*d**3.
2*d*(d - 2)*(d - 1)*(d + 2)**2
Let t be (4/3)/(-4) - (-3)/9. Suppose -j + t = -2*g + 5, 0 = -5*j + 15. Factor 2*u**2 - 2/3*u - 2*u**3 + 0 + 2/3*u**g.
2*u*(u - 1)**3/3
Let d(l) = 3*l**2 - 30*l - 33. Suppose -13*a + 50 = -8*a. Let v be (-145)/11 - a/(-55). Let t(k) = -k**2 + 15*k + 16. Let y(j) = v*t(j) - 6*d(j). Factor y(s).
-5*(s + 1)*(s + 2)
Let z(v) = 5*v**2 - 24*v + 7. Let a(m) = -10*m**2 + 49*m - 15. Let o(l) = 3*a(l) + 5*z(l). Suppose o(d) = 0. Calculate d.
2/5, 5
Factor 8/17*l**3 + 8/17*l - 2/17*l**4 - 12/17*l**2 - 2/17.
-2*(l - 1)**4/17
Factor r - 1/2*r**2 + 0 + 1/2*r**4 - r**3.
r*(r - 2)*(r - 1)*(r + 1)/2
Let g = -1 + 3. Suppose 4*q = -0*q + 16. Determine c so that -8*c**3 + 11 + 6*c + 2*c - 9 + q*c**g - 6*c**4 = 0.
-1, -1/3, 1
Let m = 36 + -32. Determine y so that -15*y**5 + 45*y**3 - 8*y + 4*y - 16*y - y**m - 9*y**4 = 0.
-2, -2/3, 0, 1
Let a = 63 + -48. Let m be ((a/12)/(-5))/(39/(-52)). What is d in m*d**2 - 1 - 2/3*d = 0?
-1, 3
Let y = -3109/42 + 451/6. Find s, given that 0 + 6/7*s + 2/7*s**3 + y*s**2 = 0.
-3, -1, 0
Suppose -8*s = -97 - 39. Suppose -3*g**4 - s*g**4 - 8*g**3 - 8*g - 12*g**5 + 8*g = 0. Calculate g.
-1, -2/3, 0
Let u(y) be the first derivative of -y**7/210 - y**6/40 - y**5/30 + 13*y**2/2 - 6. Let m(d) be the second derivative of u(d). Factor m(g).
-g**2*(g + 1)*(g + 2)
Let 20*x + 28*x**2 - 109*x**2 + 37*x**2 + 5*x**3 + 24*x**2 = 0. What is x?
0, 2
Let a(n) be the first derivative of n**4/2 + 2*n**3 + 107. Factor a(c).
2*c**2*(c + 3)
Let c(u) be the first derivative of 1/4*u**4 + 0*u + 0*u**3 + 1/6*u**6 + 2/5*u**5 + 0*u**2 - 26. Factor c(k).
k**3*(k + 1)**2
Let n(o) be the first derivative of -5*o**4/34 - 54*o**3/17 + 69*o**2/17 + 2*o - 159. Let n(u) = 0. What is u?
-17, -1/5, 1
Let v = -30187/22260 + 72/53. Let u(n) be the third derivative of -5*n**2 + 1/120*n**6 + v*n**7 + 0*n**4 + 0*n + 0*n**3 + 0 + 0*n**5. Solve u(d) = 0 for d.
-2, 0
Let u(p) = 4*p**2 - 333*p - 26891. Let r(f) = -5*f**2 + 334*f + 26890. Let d(w) = 5*r(w) + 6*u(w). Factor d(y).
-(y + 164)**2
Let g(b) be the third derivative of 11*b**7/504 - 13*b**6/144 + b**5/12 - 5*b**4/12 - 8*b**2. Let r(p) be the second derivative of g(p). Factor r(z).
5*(z - 1)*(11*z - 2)
Let x(b) be the third derivative of -b**7/840 + b**6/160 + b**5/80 - 7*b**4/96 - b**3/4 - 65*b**2 - 2*b. Factor x(g).
-(g - 3)*(g - 2)*(g + 1)**2/4
Let s(k) be the second derivative of -k**6/120 + 7*k**5/80 - k**4/12 - k**3/2 + 111*k + 2. Factor s(z).
-z*(z - 6)*(z - 2)*(z + 1)/4
Let y(f) be the first derivative of 4*f**3/15 - 184*f**2/5 + 8464*f/5 - 1. Let y(q) = 0. What is q?
46
Find x such that 8/3*x**5 + 10*x**2 + 0 - 16/3*x**3 - 10*x**4 + 8/3*x = 0.
-1, -1/4, 0, 1, 4
Solve 3/7*c**4 - 12/7 + 9/7*c**2 + 12/7*c**3 - 12/7*c = 0 for c.
-2, -1, 1
Let n(z) be the first derivative of z**6/3 + 22*z**5/5 + 21*z**4 + 136*z**3/3 + 40*z**2 - 118. Solve n(r) = 0 for r.
-5, -2, 0
Let f(n) be the third derivative of 2*n**7/105 + n**6/6 + 4*n**5/15 + 2*n**2 - 2. Factor f(o).
4*o**2*(o + 1)*(o + 4)
Let t(s) be the second derivative of s + 0*s**2 + 0 + 1/12*s**3 - 1/24*s**4. Factor t(f).
-f*(f - 1)/2
Let f(q) be the second derivative of -q**4/20 - 21*q**3/5 - 1323*q**2/10 - 45*q. Let f(x) = 0. Calculate x.
-21
Let n be ((-74)/12 - 14/(-84)) + 6. Let o(y) be the second derivative of n + y**2 - y + 1/2*y**3 + 1/12*y**4. Factor o(z).
(z + 1)*(z + 2)
Let b(d) be the third derivative of 1/224*d**8 + 1/5*d**5 + 0 + 0*d - 3/16*d**4 + 0*d**7 + 0*d**3 + 18*d**2 - 3/40*d**6. Let b(p) = 0. What is p?
-3, 0, 1
Let f(n) be the first derivative of -27 - 20/3*n**3 + 15/2*n**2 + 5*n. Find k such that f(k) = 0.
-1/4, 1
Let o(u) be the third derivative of u**5/240 - 3*u**4/32 + 7*u**3/12 - u**2 - 25. Factor o(l).
(l - 7)*(l - 2)/4
Solve -196/3*j**2 + 124/3*j**4 - 28*j**3 + 8 + 80/3*j**5 - 44/3*j = 0.
-1, 1/4, 6/5
Suppose -1 = -4*z + 19. Let o = 9 - z. Suppose -46*t**4 + 45*t**o + t**3 - t + t**2 + 0*t = 0. Calculate t.
-1, 0, 1
Let d(v) be the third derivative of 11*v**6/24 - 43*v**5/6 + 100*v**4/3 + 80*v**3/3 + 2*v**2 + 15*v. Find l, given that d(l) = 0.
-2/11, 4
Let j = 101/24 - 23/8. Let t = j - 13/12. Factor -1/2*u + 1/4*u**2 + t.
(u - 1)**2/4
Let c = 88 - 86. Let w(s) be the first derivative of -5 + 0*s**c - 1/20*s**5 + 0*s - 1/12*s**3 - 1/8*s**4. Suppose w(v) = 0. What is v?
-1, 0
Let j be 17/(-68)*(-4)/3. Let c(w) be the first derivative of 6 - 2*w + j*w**3 - 1/2*w**2. Factor c(i).
(i - 2)*(i + 1)
Find w such that 0 + 3*w + 1/4*w**4 - 11/4*w**2 - 1/2*w**3 = 0.
-3, 0, 1, 4
Suppose 4*t - 26 = -2*g, -4*t = t + 2*g - 30. Factor -3/5*n**t + 0 + 4/5*n**3 - 2/5*n + 1/5*n**2.
-n*(n - 1)**2*(3*n + 2)/5
Let -387 + 762 + 20*c - 5*c**2 - 390 = 0. Calculate c.
1, 3
Let k(a) be the second derivative of -a**4/8 + 145*a**3/12 + 49*a**2/2 - 153*a + 2. Factor k(d).
-(d - 49)*(3*d + 2)/2
Let s(g) be the second derivative of 7*g**4/54 + 2*g**3/3 + 8*g**2/9 - 413*g. Factor s(a).
2*(a + 2)*(7*a + 4)/9
Let b be (7 - -2) + -3 + -6 + 1. Let k be b/((-2)/((-48)/54)). Factor 2/9*s**2 - 2/9*s - k.
2*(s - 2)*(s + 1)/9
Let x be (2/(-60))/((-14)/56). Let m(r) be the third derivative of 0*r - 9*r**2 + 0 - 4/3*r**3 + x*r**5 + 1/2*r**4. Factor m(n).
4*(n + 2)*(2*n - 1)
Let g = 9 - -13. Let d = 26 - g. Factor m**3 + 3/2*m**d - 1/2 - 3/2*m - m**2 + 1/2*m**5.
(m - 1)*(m + 1)**4/2
Let k(i) be the third derivative of -2*i**3 - 1/112*i**8 + 0*i**4 + 1/40*i**6 + 7/20*i**5 - 3/70*i**7 + 0 + 50*i**2 + 0*i. What is x in k(x) = 0?
-2, -1, 1
Factor 4 - 2/3*t**2 - 2/3*t.
-2*(t - 2)*(t + 3)/3
Let m = 48 + -38. Find s such that -8*s**2 + m*s**2 - 4*s**2 - 6*s = 0.
-3, 0
Let r(c) be the third derivative of c**6/60 + 13*c**5/30 + 8*c**4/3 + 20*c**3/3 - c**2 - 198*c. Determine q so that r(q) = 0.
-10, -2, -1
Let n be (-77)/2 - 2 - (-18)/6. Let m = -37 - n. Let -m*v + v**2 - 1 + 1/2*v**3 = 0. Calculate v.
-2, -1, 1
Factor -1/6*n**4 + 8/3*n + 0*n**2 + 8/3 - 2/3*n**3.
-(n - 2)*(n + 2)**3/6
Suppose -31*i = -20*i + 57*i - 816. Factor 60 - i*x + 3/5*x**2.
3*(x - 10)**2/5
Let i(u) be the first derivative of -u**3 - 9*u**2/2 + 162*u - 46. Factor i(j).
-3*(j - 6)*(j + 9)
Let q(o) be the first derivative of -o**6/2160 + o**5/720 - o**3/3 - 19. Let z(i) be the third derivative of q(i). Factor z(m).
-m*(m - 1)/6
Let t = 37/126 + 5/126. Let g(r) be the second derivative of 1/6*r**4 - 2*r**2 + 0 - t*r**3 - 10*r. Solve g(s) = 0 for s.
-1, 2
Let j(f) be the second derivative of 2/3*f**3 - 1/3*f**4 + 0 + 0*f**2 + 2*f. Factor j(a).
-4*a*(a - 1)
Let c(o) be the first derivative of o**7/2100 + 7*o**6/900 + o**5/30 + 10*o**3 + 15. Let a(g) be the third derivative of c(g). Factor a(q).
2*q*(q + 2)*(q + 5)/5
Let i(t) be the third derivative of -25*t**8/336 + 8*t**7/7 - 20*t**6/3 + 33*t**5/2 - 45*t**4/8 - 45*t**3 + 15*t**2 - t. Determine f so that i(f) = 0.
-2/5, 1, 3
Let p = -10 - -24. Let u = p - 12. Factor -12*d + 1 - 3*d**2 + 0*d**u + 1 - 11.
-3*(d + 1)*(d + 3)
Let a(u) = -5*u**3 - 23*u**2 - 4*u + 23. Let n(c) = 2*c**3 + c. Let p(j) = -2*a(j) - 6*n(j). Factor p(r).
-2*(r - 23)*(r - 1)*(r + 1)
Factor 209*x + 0*x**2 - 49*x + 45 + 120 - 5*x**2.
-5*(x - 33)*(x + 1)
Solve 68*r + 450*r**3 - 168*r**4 + 20*r - 359*r**5 + 368*r**5 + 62*r - 432*r**2 - 9*r = 0.
0, 1, 47/3
What is c in 6 - 3/7*c**2 - 39/7*c = 0?
-14, 1
Suppose -123*s + 87 + 209 = -73. Solve -24*n**s - 5/2*n**5 - 13*n**2 + 3 + 5/2*n - 14*n**4 = 0.
-3, -1, 2/5
Let c(a) be the first derivative of -a**6/2 - 12*a**5/5 - 9*a**4/2 - 4*a**3 - 3*a**2/2 + 37. Factor c(w).
-3*w*(w + 1)**4
Let k(w) = 32*w**3 - 150*w**2 + 178*w - 34. Let i(u) = 158*u**3 - 749*u**2 + 891*u - 171. Let z(m) = 2*i(m) - 11*k(m). Let z(p) = 0. Calculate p.
2/9, 2
Let s(w) be the first derivative of 3*w**4/4 - 4*w**3 + 3*w**2/2 + 18*w - 105. Factor s(v).
3*(v - 3)*(v - 2)*(v + 1)
Let d(l) = -l**2 - 44*l - 482. Let o be d(-22). Let c(t) be the first derivative of -2*t + 2/9*t**3 - 10 - 2/3*t**o. Determine k, given that c(k) = 0.
-1, 3
Let c(d) be the second derivative of 