**4/6 - 4*m - 13. Factor u(g).
-2*g**2*(g - 1)**2
Let o(t) be the second derivative of -t**5/100 + 3*t**4/20 + 2*t**3/5 - 2*t**2 - 100*t. Factor o(j).
-(j - 10)*(j - 1)*(j + 2)/5
Let o(b) = -b + 12. Let l be o(8). Suppose l*q = -3 - 1, 5*u + q + 1 = 0. Factor 2/5*n**4 + u - 2/5*n**2 - 2/5*n + 2/5*n**3.
2*n*(n - 1)*(n + 1)**2/5
Let t(n) be the third derivative of n**6/320 - n**5/32 + 3*n**4/32 + 11*n**2 - 3. Determine w, given that t(w) = 0.
0, 2, 3
Suppose -9*f + 244 - 18*f**2 + 0*f**2 - 214 - 3*f**3 = 0. What is f?
-5, -2, 1
Let b(x) = 3*x**3 - 31*x**2 + 50*x - 5. Let i(f) = -4*f**3 + 32*f**2 - 48*f + 6. Let z(j) = -6*b(j) - 5*i(j). Determine g, given that z(g) = 0.
-15, 0, 2
Suppose -40033*o**4 - 96*o**2 + 48*o**3 + 6912 - 1621*o + 40036*o**4 - 683*o = 0. What is o?
-12, 4
Let i(g) be the third derivative of -1/40*g**6 + 0 + 1/30*g**5 + 5*g**2 + 0*g + 1/24*g**4 + 0*g**3. Find f such that i(f) = 0.
-1/3, 0, 1
Let p(s) = -5*s**3 - 22*s**2 - 27*s - 3. Let x(g) = 10*g**3 + 45*g**2 + 55*g + 5. Let k(m) = -5*p(m) - 3*x(m). Factor k(v).
-5*v*(v + 2)*(v + 3)
Let x(t) = 4*t**4 - 2*t**3 - 10*t**2 - 13*t - 6. Let g(r) = -15*r**4 + 7*r**3 + 39*r**2 + 52*r + 24. Let o(p) = -6*g(p) - 22*x(p). Suppose o(w) = 0. What is w?
-2, -1, 3
Let a be 458/56 + (-117)/(-1638). Determine v, given that -3/2 + 39/4*v**2 - 15/2*v**5 - a*v**4 - 3/4*v + 33/4*v**3 = 0.
-1, -1/2, 2/5, 1
Let v = 63 - 59. Suppose c**4 + 11*c**4 + 25*c**5 - 10*c**2 - 2*c**v - 25*c**3 = 0. Calculate c.
-1, -2/5, 0, 1
Let j(u) be the first derivative of -2*u**3/3 - 316*u**2 - 49928*u + 38. Determine v so that j(v) = 0.
-158
Factor 47/8*q**2 - 2*q**4 + 0 - 11*q**3 - 3/4*q.
-q*(q + 6)*(4*q - 1)**2/8
Let m(b) be the third derivative of b**5/300 + b**4/10 - 13*b**3/30 + 57*b**2. Factor m(z).
(z - 1)*(z + 13)/5
Let n(u) be the first derivative of -3/20*u**4 - 6 + 1/25*u**5 - 1/10*u**2 + 0*u + 1/5*u**3. Let n(s) = 0. What is s?
0, 1
Let r(h) be the second derivative of h**6/90 + 7*h**5/20 - 23*h**4/12 + 71*h**3/18 - 4*h**2 + 709*h. Determine l, given that r(l) = 0.
-24, 1
Let s(n) be the second derivative of n**6/105 - 3*n**5/14 + 8*n**4/7 + 64*n**3/21 - 708*n + 2. Factor s(r).
2*r*(r - 8)**2*(r + 1)/7
Let s(a) = a**3 - 1. Let u be s(1). Suppose u = 3*x - 3*v - 6, -x - 5*v = x - 4. Find c, given that 4*c**3 + c**x - 2*c**2 - 2*c**4 - c**2 = 0.
0, 1
Let a(f) = f**3 + f. Let g(h) = -4*h**3 - 80*h**2 - 876*h - 1444. Let v(m) = -2*a(m) - g(m). Suppose v(c) = 0. Calculate c.
-19, -2
Let a be (-2)/7 + ((-3066)/8820 - (-10)/12). Solve -2/5*w + a + 1/5*w**2 = 0.
1
Suppose -1479 + 2973 - 2*m - 2*m**2 - 1482 = 0. Calculate m.
-3, 2
Let g = 219 - 216. Let r(d) be the second derivative of 0*d**2 + 0 + 3/80*d**5 - 1/8*d**4 + 8*d + 1/8*d**g. Determine j, given that r(j) = 0.
0, 1
Let u(k) be the first derivative of 2*k**5/5 - 16*k**4/5 + 38*k**3/5 - 38*k**2/5 + 16*k/5 - 51. Solve u(z) = 0.
2/5, 1, 4
Suppose 8*w = -2*w + 30. Let f(o) be the first derivative of 0*o - 1/2*o**6 + 5 + 0*o**5 + 0*o**4 + 0*o**w + 0*o**2. Factor f(i).
-3*i**5
Suppose 3*u - 8 = -u. Find x, given that u - 10*x - 7 - 2*x - 3*x + 20*x**2 = 0.
-1/4, 1
Let u(g) = 2*g**2 + g + 1. Let v(t) = 12*t**2 + 12*t + 16. Let h(x) = -8*u(x) + v(x). Factor h(w).
-4*(w - 2)*(w + 1)
Let d(m) be the third derivative of -m**5/60 + 5*m**4/12 + 11*m**3/6 - 58*m**2. Factor d(t).
-(t - 11)*(t + 1)
Let q be (1010/(-515) + 2)*3/(-9). Let s = 836/927 + q. Factor s - 10/9*h + 2/9*h**2.
2*(h - 4)*(h - 1)/9
Solve 34 - 512*j + 16384*j**2 + 29 + 33 - 92 = 0 for j.
1/64
Let c(d) be the third derivative of -d**7/70 - d**6/4 - 21*d**5/20 + 5*d**4 + 50*d**3 + 3*d**2 + 32*d. Factor c(p).
-3*(p - 2)*(p + 2)*(p + 5)**2
Let s be -4 - 1/((-3)/12). Let q be 27/(-63) + (-603)/(-819). Let -18/13*f**3 + q*f**2 + 14/13*f**4 + s*f + 0 = 0. What is f?
0, 2/7, 1
Let i be 1 + (-40)/(-7) + 7 + (-235)/35. Let -1/2*s**2 - i*s - 49/2 = 0. What is s?
-7
Let b(r) = r**3 - 6*r**2 + 3*r + 4. Let x be b(5). Let u be 2/8*0 - x. Factor 3*v**2 + 4*v - u - 8*v + v.
3*(v - 2)*(v + 1)
Let m = 325 + -308. Suppose v + 5 = -5*j - m, -2*j - 10 = 0. What is w in 10*w + 0*w**2 - 5/2*w**v + 0 = 0?
-2, 0, 2
Let h(g) = -g**2. Let c(v) = 60*v**2 - 4*v. Let m(r) = c(r) + 12*h(r). Determine p so that m(p) = 0.
0, 1/12
Suppose -23*w + 99 = 10*w. Factor 0 + 8/7*r**2 + 2/7*r**w + 8/7*r.
2*r*(r + 2)**2/7
Let j = 34110 + -34110. Factor j - 4/9*x**3 - 20/9*x - 8/3*x**2.
-4*x*(x + 1)*(x + 5)/9
Let j(h) = -h**2 - h + 1. Let o be (-1)/(-12)*3 - 18/(-24). Let y(q) = q**4 + 3*q**3 - q**2 - 5*q. Let b(f) = o*y(f) - 2*j(f). Suppose b(z) = 0. What is z?
-2, -1, 1
Let f = -105 - -155. Let a be f/13 - 4/(-26). Determine v so that 8*v - 8*v**3 + 6*v**4 - 2*v**4 - a + 0*v = 0.
-1, 1
Let y(p) = -p**2 - 6*p + 5. Let m be y(-7). Let q be m/(-14)*(13 + -1). Suppose -q*c**3 - 2/7 - 16/7*c**2 + 12/7*c + 18/7*c**4 = 0. Calculate c.
-1, 1/3, 1
Let l be 1708/49 - 33 - (0 + (0 - -1)). Factor -l + 3*m**3 + 6/7*m**2 - 3*m.
3*(m - 1)*(m + 1)*(7*m + 2)/7
Let -2954 + 13440*c + 5*c**3 + 4*c**3 + 351 - 5*c**3 + 27691 + 456*c**2 = 0. What is c?
-56, -2
Factor -3*s - 8*s**2 - 1515*s**3 - 6 + 38 + 1517*s**3 - 2*s - 3*s.
2*(s - 4)*(s - 2)*(s + 2)
Let b be (-783)/(-290) - (36/(-40))/3. Suppose 22/9*x - 8/9*x**2 - 2/9*x**b - 4/3 = 0. Calculate x.
-6, 1
Let m = 1304 - 1302. Factor 32/11*r**m + 0 + 49/11*r**4 - 7*r**3 - 4/11*r.
r*(r - 1)*(7*r - 2)**2/11
Let m be -2*(-3 - (-1)/2). Suppose -m*s = -34 + 9. Suppose -3 - 6*z**2 - s*z**3 + 4*z**3 - 9*z + 3*z**5 + 9*z**4 + 7*z**3 = 0. What is z?
-1, 1
Let r be (3*32/(-12))/1. Let q be -26*4/r - 3. Factor 6 + 2*u**2 + q*u - 7*u**3 + 4*u**3 + u**3.
-2*(u - 3)*(u + 1)**2
Let j(g) be the second derivative of -g**5/28 - 19*g**4/28 + 101*g**3/42 - 39*g**2/14 + 9*g + 7. Find k, given that j(k) = 0.
-13, 3/5, 1
Let a(h) be the third derivative of -h**6/72 + 17*h**5/45 - 11*h**4/8 + 2*h**3 + 2*h**2 + 21*h. Solve a(s) = 0 for s.
3/5, 1, 12
Find t such that 1/8*t**4 + 3/4*t**3 - 3/4*t - 1/8*t**2 + 0 = 0.
-6, -1, 0, 1
Let b = -1525/36 + 388/9. Factor -b*h**3 + 9/4*h + 0*h**2 - 3/2.
-3*(h - 1)**2*(h + 2)/4
Suppose -3*t = 4*q - 81, 2*t = 5*q + t - 106. Suppose 0 = -4*d + q + 11. Factor 4*l + 8*l - 4*l**2 + 0*l - d*l.
-4*l*(l - 1)
Let c(a) be the first derivative of -8 - 4/7*a**2 + 2/35*a**5 - 16/7*a + 4/7*a**3 + 5/14*a**4. Find u, given that c(u) = 0.
-2, 1
Let j(n) = -n**2 + 7*n - 6. Let r be j(6). Suppose 0*f = f + 3*k + 9, 4*k + 12 = r. Factor -2/3*g + f*g**2 + 2/3*g**3 + 0.
2*g*(g - 1)*(g + 1)/3
Suppose -3*y + 5*o = 2, 4*y = -5*o + 44 - 0. Suppose 3*x = x - 3*s + y, s - 2 = -2*x. Find l, given that 9/2*l**3 + 13/2*l**4 - l - 1/2*l**2 + x + 5/2*l**5 = 0.
-1, 0, 2/5
Let i(b) = -3*b**2 - 3*b + 2. Let l(k) = 7*k**2 + 4*k + 9 - 3*k**2 + 8 - 19. Let j(d) = -3*i(d) - 2*l(d). Factor j(p).
(p - 1)*(p + 2)
Let d be (-8 - -4) + (-28)/(-7). Let w be (d + (-8)/(-14))/(16/56). Suppose 0 + 2/5*b**w - 4/5*b = 0. What is b?
0, 2
Suppose 2*x = -6, -3*x = -a - 0*a + 7. Let c = -1 - a. Factor -c - 2 + 2*k**2 - 1 + 2*k.
2*(k - 1)*(k + 2)
Let z be (4 + -3 - -4) + -1. Solve 2*g**2 + 11*g**4 - z*g**2 - 9*g**4 = 0 for g.
-1, 0, 1
What is z in -16/5*z**2 + 9*z + 1/5*z**3 + 162/5 = 0?
-2, 9
Let v(j) be the third derivative of 0*j - 1/30*j**6 + 0*j**3 + 0*j**4 - 6*j**2 - 2/15*j**5 + 0. Solve v(r) = 0 for r.
-2, 0
Let t(g) be the third derivative of g**5/120 + 5*g**4/48 + g**3/2 + 238*g**2. Factor t(j).
(j + 2)*(j + 3)/2
Let z(w) = 2*w**2 + w. Let h(a) = a**2 - 1. Let x(t) = -3*h(t) + z(t). Let u be x(0). Determine n so that 2*n**2 + 1 + 5*n**2 - n**3 - 4*n**2 - u*n = 0.
1
Let r = 2567/114 - 1/57. Factor -135/2*s**3 + r*s**4 + 0 + 0*s - 5/2*s**5 + 135/2*s**2.
-5*s**2*(s - 3)**3/2
Let j(i) be the second derivative of -i**8/1344 + i**4 + 3*i. Let f(k) be the third derivative of j(k). Suppose f(t) = 0. Calculate t.
0
Suppose 2 = -0*n + n. Let a(k) be the first derivative of -1/6*k**n + 0*k + 1/15*k**5 + 1/12*k**4 - 2 - 1/9*k**3. Factor a(h).
h*(h - 1)*(h + 1)**2/3
Let o = 69 - 67. Suppose 401*z**2 - 400*z**o - 3*z + 5*z - 3 = 0. Calculate z.
-3, 1
Let k(o) = -15*o**2 - 7*o - 3. Let c(g) = 15*g**2 + 8*g + 2. Let h(u) = -u**3 - 6*u**2 - 4*u + 7. Let p be h(-5). Let x(r) = p*k(r) + 3*c(r). Factor x(t).
5*t*(3*t + 2)
Let x = 69 + -164. Let b be (x/(-25) - 5)/