f(5). Let c be h + 2 - (-51)/(-119). Factor -2/7 - 2/7*m**2 + c*m.
-2*(m - 1)**2/7
Let m(d) be the second derivative of -2*d**7/21 + 2*d**6 - 86*d**5/5 + 232*d**4/3 - 192*d**3 + 256*d**2 - 89*d - 2. Suppose m(n) = 0. What is n?
1, 2, 4
Let i(l) be the second derivative of l**4/20 - 2*l**3/5 + 269*l. Factor i(h).
3*h*(h - 4)/5
Suppose -166 = -23*w - 51. Let s(n) be the first derivative of 0*n + 51/5*n**w - 5/2*n**6 + 11*n**3 + 1 - 3*n**2 - 63/4*n**4. Factor s(h).
-3*h*(h - 1)**3*(5*h - 2)
Let j(s) = 17*s**3 - s**2 - 9. Let l = 27 + -25. Let k(n) = -4*n**3 + 2. Let y(q) = l*j(q) + 9*k(q). Solve y(m) = 0.
-1, 0
Let h(u) be the second derivative of u**6/15 - 8*u**5/5 + 59*u**4/6 - 44*u**3/3 - 875*u. Let h(i) = 0. Calculate i.
0, 1, 4, 11
Let y(r) be the first derivative of -r**6/3 - 18*r**5/5 - 8*r**4 + 40*r**3 + 224*r**2 + 384*r + 105. Find j, given that y(j) = 0.
-4, -2, 3
Let j(c) be the first derivative of -c**6/2 - 19*c**5/5 - c**4 + 4*c**3 - 270. Suppose j(a) = 0. What is a?
-6, -1, 0, 2/3
Suppose j - 4*c = -16, -c + 26 - 22 = j. Factor -3*d**3 - 3/5*d**2 - 12/5*d**4 + 0*d + j.
-3*d**2*(d + 1)*(4*d + 1)/5
Factor 0 - 42*r + 3/2*r**3 - 9/2*r**2.
3*r*(r - 7)*(r + 4)/2
Let x be (-6 + 7)/(1/3). Let z be 4 + -6 - (-16)/x. Factor -2*y**5 + 14/3*y**4 + 0*y + 2/3*y**2 - z*y**3 + 0.
-2*y**2*(y - 1)**2*(3*y - 1)/3
Let c(y) be the second derivative of 41*y + 0 + 1/24*y**4 - 3/4*y**2 - 1/6*y**3. Factor c(p).
(p - 3)*(p + 1)/2
Let m(w) = 5*w**2 + 9*w + 7. Let h(i) = i**2 - 4*i - 8. Let s be h(6). Let u(d) = 2*d**2 + 4*d + 4. Let y(p) = s*m(p) - 9*u(p). Factor y(c).
2*(c - 2)*(c + 2)
Let n = -332 + 2657/8. Let u(p) be the second derivative of -n*p**4 + 0*p**2 + 0*p**3 + p + 0 + 3/20*p**5. Find z such that u(z) = 0.
0, 1/2
Let f(j) be the third derivative of j**7/420 - 41*j**6/20 + 15129*j**5/20 - 620289*j**4/4 + 76295547*j**3/4 + 15*j**2 - j. Determine x, given that f(x) = 0.
123
Let t(m) = 117*m + 1408. Let y be t(-12). Factor 9/5*j - 21/5*j**2 + 3*j**3 + 0 - 3/5*j**y.
-3*j*(j - 3)*(j - 1)**2/5
Let x(r) = -3*r**2 + 3*r - 4. Let j(a) = -a**2 + 1. Let c(h) = 2*h**2 - 3. Let k(n) = c(n) + 3*j(n). Let u(y) = -4*k(y) + x(y). Factor u(v).
(v - 1)*(v + 4)
Let k(a) = a**3 - 5*a**2 + 3*a. Let p be k(3). Let i be (p/3 + -2)*-1. Factor i - 4*z**2 - 9*z - 11 - z**2 + 2*z**2.
-3*(z + 1)*(z + 2)
Let u(m) = 70*m**3 - 14*m**2 + 18*m - 19. Let s(c) = 7*c**3 - c**2 - 1. Let x(i) = 22*s(i) - 2*u(i). Factor x(a).
2*(a - 1)*(a + 2)*(7*a - 4)
Let k(t) be the first derivative of 4 + 125/4*t**4 - 40*t**2 - 20*t - 25/3*t**3. Factor k(r).
5*(r - 1)*(5*r + 2)**2
Let r(y) = 11 - 8*y**2 + 7 + 4 - 4*y**3 - 16. Let h(s) = s**3 + s**2 - 1. Let z = -6 - -5. Let w(b) = z*r(b) - 6*h(b). Find m such that w(m) = 0.
0, 1
Suppose 0 = j + 2*r + 6, -r = -3*j + 6*j - 7. Let -z**2 + 3*z**4 - 3*z**2 + z**2 + 0*z**j = 0. What is z?
-1, 0, 1
Let k(t) = t**3 - 5*t**2 - 8*t + 3. Let s(h) = -h**3 + 4*h**2 + 7*h - 4. Let f(i) = 2*k(i) + 3*s(i). Factor f(w).
-(w - 3)*(w - 1)*(w + 2)
Let j(r) be the third derivative of 3*r**5/80 - 11*r**4/32 - r**3/2 - 35*r**2 + 3. Factor j(l).
3*(l - 4)*(3*l + 1)/4
Let u = 16 - 31/2. Suppose 11*d + 5*d - 4*d = 24. Find f, given that 0*f + 1/4*f**4 - 1/4*f**5 + 0 + u*f**3 + 0*f**d = 0.
-1, 0, 2
Let x(n) be the second derivative of -5*n + 0 - 19/9*n**3 - 11/3*n**4 - 52/15*n**5 - 1/3*n**7 - 76/45*n**6 - 2/3*n**2. Suppose x(c) = 0. Calculate c.
-1, -1/3, -2/7
Factor -8*j**2 + 60*j - 68 + 36*j + 27*j + 17*j.
-4*(j - 17)*(2*j - 1)
Let h(u) = 7*u**2 + 9*u - 3. Let o(z) = 4*z**2 + 5*z - 2. Suppose -5*c = 5*n, 6 = -4*n + 2*n - 4*c. Let j(a) = n*h(a) - 5*o(a). Find t, given that j(t) = 0.
-1
Let r(i) be the first derivative of -i**4 - 74*i**3/3 - 18*i**2 - 351. Determine v so that r(v) = 0.
-18, -1/2, 0
Suppose 2907*f - 2918*f = -44. Let 104/5*s**2 + 0 + 38*s**f - 228/5*s**3 - 16/5*s - 10*s**5 = 0. Calculate s.
0, 2/5, 1, 2
Factor -10*k**2 - 74/7 - 2/7*k**3 + 146/7*k.
-2*(k - 1)**2*(k + 37)/7
Let f = 34 + -29. Suppose -3*w**5 + w**4 + 2*w**2 - 2*w**3 - 4*w**2 + 1 + 4*w**f + w = 0. What is w?
-1, 1
Let z = 2/169 + 308/2535. Let n(c) be the first derivative of 0*c + 2/5*c**2 - z*c**3 - 4. Factor n(f).
-2*f*(f - 2)/5
Let h(w) be the first derivative of -w**4/24 + w**2/4 - 5*w + 31. Let o(r) be the first derivative of h(r). Factor o(l).
-(l - 1)*(l + 1)/2
Suppose -347*a + 166*a = -166*a. Factor 0*u**3 + 0*u + 0*u**2 + a + 6/11*u**4.
6*u**4/11
Factor 111*y - 4*y**2 + 52*y - 19*y.
-4*y*(y - 36)
Suppose -16 = -5*u - 6. Let s(o) be the second derivative of -2/15*o**3 + 0 - 1/5*o**u - 2*o - 1/30*o**4. Factor s(z).
-2*(z + 1)**2/5
Let u(p) = -8*p**3 - 63*p**2 + 286*p + 363. Let t(b) = -3*b**3 - 21*b**2 + 95*b + 121. Let n(q) = -11*t(q) + 4*u(q). Solve n(y) = 0.
-1, 11
Let x be ((-13)/715)/(4/(-22)). Find v such that 3/5*v**2 + 5/2 - 4*v + x*v**4 + 4/5*v**3 = 0.
-5, 1
Let w(j) be the second derivative of -9/20*j**5 + 1/14*j**7 + 0*j**3 + 4*j + 0 + 0*j**2 + 0*j**6 + 1/2*j**4. Factor w(v).
3*v**2*(v - 1)**2*(v + 2)
Let i(d) = d**2 + 13*d + 14. Let o be i(-12). Let p = 5 - o. Factor -28*n**p - 2*n**4 - n + n**4 + n**2 + 29*n**3.
-n*(n - 1)**2*(n + 1)
Suppose -5*w + 32 = 4*c, 27 = 3*w + 2*c + 3*c. What is i in -w*i**3 - 32/7*i**2 - 4/7 - 2/7*i**5 - 12/7*i**4 - 18/7*i = 0?
-2, -1
Let v be (4/30 + 0)/(2/12). Let i be 3/(-30) + (-3)/(-6). Solve -i*f**5 + 6/5*f**4 - 4/5*f**2 + 6/5*f - 2/5 - v*f**3 = 0.
-1, 1
Factor -140*u**3 - 161 - 119 + 6942*u**4 - 6947*u**4 + 15*u**2 + 410*u.
-5*(u - 1)**2*(u + 2)*(u + 28)
Let b be ((-7)/42)/(2 - 3). Suppose 2*l + 11 = -3*x, 7*x + 27 = l + 2*x. Factor b*p**l - 1/6 + 0*p.
(p - 1)*(p + 1)/6
Solve 94/3*h + 0 - 2/3*h**2 = 0.
0, 47
Let b = 79 + -79. Let w(c) be the first derivative of 1/11*c**2 - 2/55*c**5 + 2/33*c**3 + 7 + b*c - 1/22*c**4. Factor w(u).
-2*u*(u - 1)*(u + 1)**2/11
Factor 3465/2*f + 3675/2 + 3/2*f**3 - 207/2*f**2.
3*(f - 35)**2*(f + 1)/2
Let i(x) = x. Let z be i(2). Suppose -z*s + 11 = 7. Let 2/11*r + 8/11*r**4 - 2/11 + s*r**3 + 18/11*r**2 = 0. What is r?
-1, 1/4
Let t(w) be the third derivative of -w**6/720 - w**5/720 + w**4/72 - 7*w**3/6 + 9*w**2. Let i(c) be the first derivative of t(c). Factor i(d).
-(d + 1)*(3*d - 2)/6
Factor l**4 - 14*l**2 - l**3 - 7*l + 6*l**2 - 31*l - 8*l**2 + 54*l.
l*(l - 4)*(l - 1)*(l + 4)
Let -768/11 + 20/11*t**2 - 2/11*t**3 + 64/11*t = 0. What is t?
-6, 8
Let p be (-3569)/(-1290) - 4/15. Suppose 15/2*g**3 - p*g**4 - 5/2*g**2 - 15/2*g + 5 = 0. What is g?
-1, 1, 2
Let c(j) be the third derivative of -j**8/1176 - 8*j**7/245 + 5*j**6/84 + 2*j**2 + 64*j. Factor c(p).
-2*p**3*(p - 1)*(p + 25)/7
Factor 36/5 - 84/5*q + 3/5*q**4 + 69/5*q**2 - 24/5*q**3.
3*(q - 3)*(q - 2)**2*(q - 1)/5
Let n(b) be the second derivative of -b**7/14 - 7*b**6/10 - 9*b**5/4 - 9*b**4/4 + 202*b. Factor n(w).
-3*w**2*(w + 1)*(w + 3)**2
Let c = 25 + -25. Suppose 3*v = -2*k + 9, -4*v + 12 = -c*v - 2*k. Find m such that -12*m**2 - 4*m**3 - 10*m**5 + 24*m**4 + 29*m**3 - v*m**3 = 0.
-1, 0, 2/5, 3
Let y be -7 + 77/42*4. Let r(v) be the second derivative of -y*v**4 + 0*v**3 + 10*v - 1/5*v**5 + 0*v**2 + 0. Factor r(d).
-4*d**2*(d + 1)
Factor 17*w - 5*w**2 + 2*w**4 - 5*w - 6*w**3 + 12 - 4*w**2 + w**4.
3*(w - 2)**2*(w + 1)**2
Let y(r) = -953*r**2 + 197*r - r**3 + 0*r**3 + 919*r**2. Let b(g) = 12*g**3 + 372*g**2 - 2166*g. Let a(n) = -6*b(n) - 68*y(n). Factor a(c).
-4*c*(c - 10)**2
Let n = 55 - 47. Suppose 15*m - 11*m = n. Suppose 0 + 1/2*a**m + 1/2*a = 0. Calculate a.
-1, 0
Let k(f) be the third derivative of -f**8/84 + 8*f**7/35 - 2*f**6/3 - 2*f**5/15 + 7*f**4/2 - 20*f**3/3 - 47*f**2 + 1. Factor k(j).
-4*(j - 10)*(j - 1)**3*(j + 1)
Let x(a) = -a**2 - 75*a - 411. Let b be x(-6). Factor -6*w**2 - 9/2*w + 0 - 3/2*w**b.
-3*w*(w + 1)*(w + 3)/2
Determine f, given that 0 + f**2 - 1/2*f = 0.
0, 1/2
Let l(r) = -3*r + 26. Let z be l(8). Factor 6*h**z - 54 + 0*h**2 + 2*h**3 + 258*h - 276*h.
2*(h - 3)*(h + 3)**2
Let u = -204047/144 - -1417. Let q(y) be the third derivative of 0*y + 5*y**2 + 0*y**3 - u*y**4 + 0 - 1/720*y**6 - 1/180*y**5. Factor q(z).
-z*(z + 1)**2/6
Let i(z) = 8*z**3 + z**2. Let x be i(1). Suppose 0 = -4*v - x + 25. Factor 0 + 0*c + 1/6*c**3 + 0*c**2 - 1/6*c**v.
-c**3*(c - 1)/6
Let f(z) be the first derivative of -5/42*z**4 + 2/21*z**3 + 2/105*z**5 + 3/7*z**2 +