0*o**2 + 0*o + a*o**5 - 1/7*o**3 + 1/14*o**4 - 4. Find f, given that y(f) = 0.
-3, 0, 1
Let f(z) be the first derivative of 0*z + 1/10*z**5 + 42 - 61/18*z**3 - 5/6*z**4 - 3/2*z**2. Factor f(q).
q*(q - 9)*(q + 2)*(3*q + 1)/6
Let r = -1228/241 + 11924/1205. Let y = 422/75 + -2/75. Solve -y*w**2 - r + 92/5*w = 0 for w.
2/7, 3
Let s(x) be the third derivative of -21*x**5/4 + 359*x**4/120 - x**3/15 - 14*x**2 - 91. Let s(v) = 0. Calculate v.
1/175, 2/9
Let l be ((-15)/(-6))/5*(-7 + 15). Let 141*y**l - 145*y**4 - 52*y + 52*y**3 - 2*y**2 + 8*y**2 - 2*y**2 = 0. What is y?
-1, 0, 1, 13
Determine k so that 38/5*k**3 + 73/5*k**2 + 0 + 1/5*k**4 + 36/5*k = 0.
-36, -1, 0
Let t = -4518864/5 + 903965. Factor t + 1/5*m**2 + 62/5*m.
(m + 31)**2/5
Suppose 14*a = 13*a - 6*n + 120, 2*a - 40 = -2*n. Factor -10/7*d - 3/7*d**2 + d**3 + a.
d*(d + 1)*(7*d - 10)/7
Suppose 16*l + 18 = 7*l. Let u be (-106)/(-22) + l - (-4)/22. Factor 20/7*w**2 + 16/7*w**u + 0 + 4/7*w.
4*w*(w + 1)*(4*w + 1)/7
Let a be 2620/32 - 2/(-16). Let f = a - 79. Factor b**f + 22*b - 25 - 39 - 12*b**2 + 26*b.
(b - 4)**3
Let n(m) be the first derivative of 56 + 1/25*m**5 + 3/40*m**4 - 2/15*m**3 - 1/60*m**6 + 0*m - 1/5*m**2. Determine f, given that n(f) = 0.
-1, 0, 2
Let y(i) be the first derivative of -2/3*i**3 + 10*i**2 - 60 - 48*i. Let y(n) = 0. Calculate n.
4, 6
Suppose 0 = 14*m - 9*m + 4*p - 14, 0 = -2*m + 4*p. Find k such that -2*k**2 - 2*k + 2*k**2 - k**m = 0.
-2, 0
Let c = -8473 + 8473. Let h(p) be the third derivative of -7/8*p**4 - 1/40*p**6 + c + 3/2*p**3 - 8*p**2 + 1/4*p**5 + 0*p. Factor h(k).
-3*(k - 3)*(k - 1)**2
Suppose -2*m - 4*x - 1 = -25, -5*m = -x - 16. Factor -58*o**5 - 12*o**3 - 52*o**2 - 18 - 20*o + 60*o**5 - 34*o + 6*o**m.
2*(o - 3)*(o + 1)**3*(o + 3)
Let y be (306/459)/((-69)/15 - -5). Factor -1/2*g + y - 1/6*g**2.
-(g - 2)*(g + 5)/6
Let y(n) = 12 - 4 + 472*n - 947*n - 9*n**2 + 487*n. Let b(l) = 9*l**2 - 13*l - 7. Let x be -2*2*(-3)/(-4). Let v(p) = x*y(p) - 4*b(p). Let v(r) = 0. What is r?
-2/9, 2
Factor -372/7*q - 2/7*q**2 - 736/7.
-2*(q + 2)*(q + 184)/7
Let w = -886639/7 - -126664. What is x in -w*x**2 - 6/7*x**3 - 1/7*x**4 + 0*x + 0 = 0?
-3, 0
Let y(s) be the first derivative of 39/8*s**2 + 1/4*s**3 + 271 + 30*s. Factor y(p).
3*(p + 5)*(p + 8)/4
Let o(b) = 39*b**2 + 372*b - 261. Let v(s) = -3*s**2 - 5*s + 1. Let r(a) = -o(a) - 9*v(a). Factor r(i).
-3*(i + 28)*(4*i - 3)
Let l(k) = -k**3 - 3*k**2 - 360*k - 716. Let p be l(-2). Suppose 16/9*t**2 + 0 + p*t - 2/9*t**3 = 0. What is t?
0, 8
Let k be (270 - 222) + 2 + -46. What is w in 30/7*w**k + 0 - 72/7*w**3 - 3*w - 3/7*w**5 + 66/7*w**2 = 0?
0, 1, 7
Let o = 328786/2901 - 2/967. Let h = 114 - o. Suppose 0 - 2*n + 4/3*n**2 + h*n**3 = 0. What is n?
-3, 0, 1
Let j(a) be the third derivative of -a**8/168 - 8*a**7/15 - 7*a**6/4 + 27*a**5/5 + 109*a**2 + 12. Suppose j(z) = 0. What is z?
-54, -3, 0, 1
Let v = -975 + 2862. Let z = -1885 + v. Factor 1/2*r**2 + 1/2*r**3 - 2 - z*r.
(r - 2)*(r + 1)*(r + 2)/2
Let i(d) be the first derivative of 16/13*d + 22 - 11/26*d**4 - 2/65*d**5 + 58/39*d**3 - 2*d**2 + 1/39*d**6. Solve i(p) = 0.
-4, 1, 2
Let z(v) be the third derivative of 0 - 1/60*v**5 + 0*v**3 - 1/120*v**6 + 0*v + 106*v**2 + 1/4*v**4. Factor z(t).
-t*(t - 2)*(t + 3)
Let m(u) = -16*u**2 + 576*u + 2. Let z(r) = 42*r**2 - 1154*r - 5. Let b(x) = -5*m(x) - 2*z(x). Solve b(n) = 0.
-143, 0
Let x(v) be the first derivative of 0*v - 1/12*v**3 + 44 + 3/2*v**2. Factor x(n).
-n*(n - 12)/4
Suppose 11*m - 84 = 18*m. Let x be (21/(-14))/(9/m). Factor 5*q**2 + 40 + 47*q + 15*q - 5*q**4 - 15*q**3 - 2*q + 5*q**x.
-5*(q - 2)*(q + 1)*(q + 2)**2
Solve x**3 - 241/4*x**2 + 31 - 109*x = 0 for x.
-2, 1/4, 62
Let i = 578 + -578. Let z(p) = -62*p + 3. Let v be z(i). Determine r so that 5/7*r**v + r + 2*r**2 - 2/7 = 0.
-2, -1, 1/5
Let n(j) be the first derivative of j**3/24 - 27*j**2/8 + 55*j - 390. Factor n(a).
(a - 44)*(a - 10)/8
Let d(x) = -x**2 - 328*x - 644. Let p(a) = 2*a**2 + a - 14. Let r(i) = 5*d(i) + 5*p(i). Factor r(k).
5*(k - 329)*(k + 2)
Suppose -5*s + 2645 = -0*s. Factor s*k**3 + 12*k - 16 - 267*k**3 - 4*k**4 - 274*k**3 + 20*k**2.
-4*(k - 1)**2*(k + 1)*(k + 4)
Let j(n) be the first derivative of n**4/42 - 2*n**3/21 - 3*n**2/7 + 68*n + 88. Let t(k) be the first derivative of j(k). Factor t(f).
2*(f - 3)*(f + 1)/7
Let p(q) = -q**3 + 80*q**2 + 443*q + 612. Let n(o) = 78*o**2 + 442*o + 608. Let f(m) = 3*n(m) - 2*p(m). Factor f(i).
2*(i + 2)*(i + 5)*(i + 30)
Let q(h) = h - 5. Let x be q(-8). Let v = x + 17. Find l such that 7*l**2 + 5 - 30*l**v - 17*l**2 + 35*l**4 = 0.
-1, 1
Let o be (2/(-5))/(62/620). Let n(u) = -2*u**2 - 46*u - 62. Let k(y) = y**2 + 24*y + 31. Let g(h) = o*n(h) - 9*k(h). Solve g(z) = 0.
-31, -1
Let c(i) = -i**2 + 22*i + 179. Let j be c(28). Let k(b) be the first derivative of 1/18*b**3 - j + 1/6*b**2 - 1/2*b. Factor k(u).
(u - 1)*(u + 3)/6
Solve 2 + 3/2*x**2 + 1/2*x**4 - 17/6*x**3 + 41/6*x = 0 for x.
-1, -1/3, 3, 4
Find l such that -1056 - 1572*l**2 + 4/3*l**4 + 7112/3*l + 256*l**3 = 0.
-198, 1, 4
Let m(a) be the first derivative of -2*a**3/3 - 730*a**2 - 266450*a - 277. Determine j, given that m(j) = 0.
-365
Let n(q) = -3*q**2 + 6*q. Suppose 4*m = 19*m - 15. Let s be n(m). What is f in 2/11*f**4 + 0 - 8/11*f**s - 2/11*f**2 + 8/11*f = 0?
-1, 0, 1, 4
Let r(t) be the second derivative of 4 + 1/4*t**4 - 3/40*t**5 + 0*t**3 + 0*t**2 + 2*t. Find o, given that r(o) = 0.
0, 2
Let c(b) = -b**5 + 3*b**4 - b**3 - b + 1. Let m(p) = 4*p**5 - 156*p**4 + 430*p**3 + 312*p**2 - 1742*p + 1150. Let y(j) = 2*c(j) + m(j). Solve y(d) = 0 for d.
-2, 1, 2, 72
Let q(y) be the second derivative of -1/20*y**5 - 8*y + 7/2*y**3 - 4 - 1/6*y**4 - 9*y**2. Factor q(t).
-(t - 3)*(t - 1)*(t + 6)
Let z(c) = -11*c**3 + 264*c**2 - 134*c + 11. Let y(s) = s + 19. Let t be y(-14). Let p(o) = o**3 - o - 1. Let m(a) = t*p(a) - z(a). Let m(h) = 0. What is h?
1/4, 16
Let m = 422 + -400. Suppose -3*f - r + 9 = 0, -r = -4*f + r + m. Solve 4/7*p**5 + 6/7*p**3 + 0 - 2/7*p + 10/7*p**f - 2/7*p**2 = 0.
-1, 0, 1/2
Let y(m) = -5*m**4 + 3*m**3 + 5*m**2 + 18*m. Let q(j) = 13*j**4 - 7*j**3 - 12*j**2 - 52*j. Let v(r) = 3*q(r) + 8*y(r). Factor v(c).
-c*(c - 3)*(c - 2)*(c + 2)
Let p(w) be the first derivative of w**8/252 + 4*w**7/315 - 2*w**6/9 + 8*w**5/15 - 3*w**2/2 + 32*w - 96. Let d(u) be the second derivative of p(u). Factor d(r).
4*r**2*(r - 2)**2*(r + 6)/3
Let v be 4/(-14) - 48/(-21). Let x be ((-19)/(-57))/(v/72). Find s such that x + 50*s + 2*s + 8*s - 15*s**4 - 48*s**3 - 9*s**2 = 0.
-2, -1/5, 1
Let q(o) be the third derivative of o**8/1008 - o**7/1260 - 19*o**6/720 + o**5/40 + o**4/16 + 1313*o**2. Find y, given that q(y) = 0.
-3, -1/2, 0, 1, 3
Let y = 1279018/11 + -116274. Let -y*k**4 - 78/11*k**2 - 38/11*k**3 - 14/11 - 58/11*k = 0. Calculate k.
-7, -1, -1/2
Let j(h) be the second derivative of -h**7/126 + h**6/6 - 9*h**5/20 - 27*h**4/4 + 7*h - 15. Suppose j(o) = 0. What is o?
-3, 0, 9
Let f(g) be the first derivative of g**4/84 + 2*g**3/21 - 6*g**2/7 + 70*g - 132. Let d(c) be the first derivative of f(c). Determine k so that d(k) = 0.
-6, 2
Let p(q) be the second derivative of -q**4/4 - 306*q**3 - 1806*q. Factor p(c).
-3*c*(c + 612)
Let j(s) be the second derivative of -s**7/56 + 9*s**6/40 + 9*s**5/20 - 5*s**4/4 - 9*s - 3. Let j(x) = 0. Calculate x.
-2, 0, 1, 10
Let q(g) be the third derivative of -g**8/3360 + 3*g**7/560 - g**6/48 - 5*g**5/48 + 10*g**3 + 9*g**2 + 4. Let a(v) be the first derivative of q(v). Factor a(h).
-h*(h - 5)**2*(h + 1)/2
Let n(l) be the second derivative of -l**5/24 - 35*l**4/12 - 955*l**3/36 - 185*l**2/2 - 1157*l - 2. Let n(q) = 0. Calculate q.
-37, -3, -2
Suppose 47*r - 47 - 44 = 3. Let f(m) be the third derivative of -169/48*m**6 + 0 + 6*m**r + 39/8*m**5 + 0*m + 5/3*m**3 + 5*m**4. Find o, given that f(o) = 0.
-2/13, 1
Let r be 94/30 - 0 - (-70)/(-525). Let p(x) be the third derivative of 0*x - 1/4*x**4 - 2/3*x**r + 0 + 1/60*x**6 + 0*x**5 + x**2. Suppose p(v) = 0. Calculate v.
-1, 2
Suppose -m - 11*y + 20 = -8*y, 32 = m + 5*y. Let k(w) be the first derivative of 3/2*w - w**m + 7 + 1/6*w**3. Factor k(a).
(a - 3)*(a - 1)/2
Let o(i) be the first derivative of 21 + 600*i + 3/10*i**5 + 63/4*i**4 + 481/2*i**3 + 630*i**2. Factor o(y).
3*(y + 1)**2*(y + 20)**2/2
Deter