4/7*o**3 + 16/7*o = 0.
-2, -1, 1/2, 2
Let z(k) be the second derivative of k**7/105 + 8*k**6/25 - 181*k**5/50 - 4*k**4/5 + 12*k**3 + 15*k + 58. Determine x so that z(x) = 0.
-30, -1, 0, 1, 6
Let z be (-10)/(-2)*(84/(-10))/(-7). Factor z*i**3 - 4*i**5 + i - 4*i - 3 - 3*i**4 + 5*i**5 - 4*i**5 + 6*i**2.
-3*(i - 1)**2*(i + 1)**3
Determine h so that -2/5*h**2 + 604/5 + 298/5*h = 0.
-2, 151
Let t be 3/((-6)/8) + (-57)/((-12768)/33664). Factor 816/7*w**2 + t - 14*w**3 - 2432/7*w + 4/7*w**4.
2*(w - 8)**3*(2*w - 1)/7
Suppose -123*w - 69 = -146*w. Factor -2/17*b**w + 62/17*b**2 - 512/17 - 448/17*b.
-2*(b - 16)**2*(b + 1)/17
Let c(g) be the first derivative of 211 - g**4 - 22/7*g - 24/7*g**3 - 34/7*g**2 - 2/35*g**5. Factor c(z).
-2*(z + 1)**3*(z + 11)/7
Let i(b) be the third derivative of -b**6/720 - 23*b**5/360 - 43*b**4/144 - 7*b**3/12 + 2466*b**2. Factor i(a).
-(a + 1)**2*(a + 21)/6
Let v be 0 - (-11 - -9)*(-303)/(-6). Factor v + 112 + 76*n - 3*n**2 - 45 + 2*n**2 - 3*n**2.
-4*(n - 21)*(n + 2)
Let f(l) = 2*l. Let j be f(4). Suppose 0 = 2*h - 4*s + 10, 3*h + 2*s = -6 + 23. Solve 8*t**4 - t**3 + 6*t**5 - h*t**3 - 2*t**5 - j*t**2 = 0 for t.
-2, -1, 0, 1
Let f(x) = 30*x + 4. Let j(a) = -a**2 + 181*a + 26. Let i(n) = -13*f(n) + 2*j(n). Solve i(o) = 0 for o.
-14, 0
Let w(j) be the third derivative of 13/120*j**5 + 0 + 5/8*j**4 + 81*j**2 - 1/120*j**6 - 1/840*j**7 + 0*j - 75/8*j**3. Determine x, given that w(x) = 0.
-5, 3
Let a(j) be the third derivative of -j**5/210 + 78*j**4/7 - 73008*j**3/7 - 313*j**2 - 2*j. Solve a(q) = 0.
468
Factor 246/5*u - 20 + 2*u**2.
2*(u + 25)*(5*u - 2)/5
Let a = -801869/6 - -133645. Factor a*p**2 + 0 + 11/6*p.
p*(p + 11)/6
Let u(c) = 6*c**3 - 146*c**2 - 166*c - 14. Let g(t) = -2*t**3 + 49*t**2 + 56*t + 5. Let q(d) = -14*g(d) - 5*u(d). Solve q(l) = 0 for l.
-1, 0, 23
Let a(w) = w**3 - w**2 + 9*w. Let f(z) = -50*z**3 + 2475*z**2 - 880*z. Let d(y) = -30*a(y) - f(y). Factor d(q).
5*q*(q - 122)*(4*q - 1)
Suppose 3*o - 18 = -4*t, -4*o + 10 = t - 1. Let c(a) = -a**2 + 25*a + 717. Let p be c(-17). Factor -2*u**4 + 2*u**2 + 5*u**t + 3*u - 4*u - u**3 - p*u.
-2*u*(u - 2)*(u - 1)*(u + 1)
Let p(z) be the first derivative of 19/2*z**2 + 1/4*z**4 + 2/3*z**3 + 0*z + 1/30*z**5 - 14. Let g(d) be the second derivative of p(d). Factor g(w).
2*(w + 1)*(w + 2)
Let v(f) be the second derivative of -1/140*f**5 - 1/14*f**3 - 2 - 1/21*f**4 + 3*f + 0*f**2. Factor v(i).
-i*(i + 1)*(i + 3)/7
Let -2/7*x**2 - 164*x + 0 = 0. What is x?
-574, 0
Let i be (2/(-5))/(11/(-55)). Suppose -31*u**2 + 12*u**2 + 135*u**2 - 115*u - 28*u**3 - 57*u**3 + 30 + 39*u**i + 15*u**4 = 0. Calculate u.
2/3, 1, 3
Let g(x) be the second derivative of -x**5/100 + 79*x**4/12 - 6468*x**3/5 - 19602*x**2/5 - x + 367. Factor g(l).
-(l - 198)**2*(l + 1)/5
Let i(z) be the first derivative of z**4/4 - 35*z**3/6 + 11*z**2 + 35*z - 17. Let a(h) be the first derivative of i(h). Let a(q) = 0. What is q?
2/3, 11
Let q(t) be the second derivative of -t**4/21 - 53*t**3/21 + 27*t**2/7 - 57*t + 3. Let q(h) = 0. What is h?
-27, 1/2
Factor 6*i**2 + 7*i**2 - 11*i**2 + 0*i**2 + 14*i.
2*i*(i + 7)
Let v(x) be the third derivative of 3*x**2 + 1/112*x**8 + 1/10*x**7 + 2*x**3 + 3*x + 2*x**4 + 5/4*x**5 + 0 + 19/40*x**6. What is a in v(a) = 0?
-2, -1
Let v be (-3)/(0 - 24/2384). Factor -v*i**5 + 146*i**5 + 147*i**5 - 245*i**2 - 175*i**3 + 65*i**4.
-5*i**2*(i - 7)**2*(i + 1)
Let w = -259 + 261. Let q(f) = 11*f**2 + 70*f - 20. Let s(m) = 57*m**2 + 351*m - 100. Let k(x) = w*s(x) - 11*q(x). Factor k(b).
-(b + 10)*(7*b - 2)
Let k(a) = a**2 + 2*a - 2. Let d(j) = -2*j**2 + 68*j + 156. Let z = -682 + 683. Let m(i) = z*d(i) + 6*k(i). What is w in m(w) = 0?
-18, -2
Let u(q) = -9*q - 179. Let f be u(-20). Suppose l - f = -2*n - 0*l, -4*n + 4*l = -32. Factor -3/4*p + 3/4*p**n - 1/8 + 1/8*p**2.
(p - 1)*(p + 1)*(6*p + 1)/8
Solve 83 + 65 + 746*l**4 - 4 - 780*l + 1545*l**3 - 2484*l**2 + 829*l**4 = 0.
-12/7, -2/5, 2/15, 1
Let d be (-9)/(135/12)*(-6 + -964). Let b = d - 773. Solve 2/3*k**5 - 2/3*k**2 - 2*k**b + 4/3*k + 2/3*k**4 + 0 = 0 for k.
-2, -1, 0, 1
Let o(q) be the first derivative of -16*q**5 - 15*q**3 + 19*q**3 - q**2 + 2*q + 66 - 16*q**3 + 26*q**4. Let o(m) = 0. Calculate m.
-1/5, 1/2
Let f(v) be the second derivative of -2*v**6/15 - 683*v**5/5 - 116963*v**4/3 - 232562*v**3/3 + 1844*v. Determine w, given that f(w) = 0.
-341, -1, 0
Let c(n) = 8*n**4 + 19*n**3 - 8*n**2 - 29*n. Let h(b) = -2*b**4 - b**3 + b. Let t = 242 + -247. Let l(k) = t*h(k) - c(k). What is s in l(s) = 0?
-1, 0, 2, 6
Let b = 284 + -282. Suppose 0 = -2*p + 6*p. Factor -c + p*c + 5*c - 2*c + b*c**2.
2*c*(c + 1)
Let a be (-111)/(-74) - 1/(-2). Let v(p) = -2*p**3 + 24*p**2 + 24*p + 2. Let o(d) = -2*d**3 + d**2 + 2*d + 1. Let l(u) = a*o(u) - v(u). Solve l(n) = 0.
-10, -1, 0
Let p(t) be the first derivative of 7*t**4/12 + 19*t**3/9 + 4*t**2/3 - 4*t/3 + 3171. Factor p(r).
(r + 1)*(r + 2)*(7*r - 2)/3
Suppose 0 = -g - g. Let y be (-1 + 0 + g)*0. Solve 0*h**2 + 4/5*h**4 + 0 + 4/5*h**3 + y*h = 0.
-1, 0
Suppose -7/5*t**4 + 513/5*t**2 - 521/5*t + 201/5*t**3 - 186/5 = 0. Calculate t.
-3, -2/7, 1, 31
Let m(n) be the second derivative of 169*n**6/30 + 39*n**5/10 - 1089*n**4/4 - 126*n**3 + 7938*n**2 + 622*n. Find s, given that m(s) = 0.
-42/13, 3
Let x(q) be the second derivative of 10/21*q**3 - 8/7*q**2 + 301*q - 1/70*q**5 - 1/42*q**4 + 0. Factor x(b).
-2*(b - 2)*(b - 1)*(b + 4)/7
Factor -27/4*q + 1/4*q**3 - 243/2 + 3*q**2.
(q - 6)*(q + 9)**2/4
Let t(p) = -11*p**2 - 1795*p - 18. Let h(k) = 6*k**2 + 901*k + 10. Let w(y) = 9*h(y) + 5*t(y). Determine q so that w(q) = 0.
-866, 0
Determine m so that -2/7*m**4 + 0 - 4/7*m - 2/7*m**5 + 6/7*m**3 + 2/7*m**2 = 0.
-2, -1, 0, 1
Let i(l) be the second derivative of -l**5/20 - 55*l**4/12 + 244*l**3/3 - 504*l**2 + 2032*l. Factor i(x).
-(x - 4)**2*(x + 63)
Let t(u) be the third derivative of -16/5*u**5 + 100/3*u**3 - 15*u**2 + 1/6*u**6 - 2*u + 35/2*u**4 + 0. Let t(n) = 0. What is n?
-2/5, 5
Determine l, given that -3/4*l**5 - 129/4*l**3 - 231/4*l**2 - 15 - 33/4*l**4 - 48*l = 0.
-5, -2, -1
Suppose -3*l - 720 = -13*l. Let x be (-1)/(-1) - 56/l. Factor -x*h**2 + 0 - 2/9*h.
-2*h*(h + 1)/9
Determine v so that -2/15*v**4 + 414/5 + 132/5*v + 148/15*v**3 - 232/5*v**2 = 0.
-1, 3, 69
Suppose -2*g + 44 = -4*k, g = 5*k + 38 - 1. Let j(h) = h - 6. Let p be j(11). Factor p*n - 30*n - n**2 - g + 12*n.
-(n + 1)*(n + 12)
Let g = -1367 + 2156. Let q = g + -783. Factor 3/2*k**3 + 6 - 3/2*k**2 - q*k.
3*(k - 2)*(k - 1)*(k + 2)/2
Let p(r) = -r**2 + 6*r - 6. Let c be p(4). Suppose 3*d = x + 3*x + c, 3*d = -x + 7. Factor -s**5 + 4*s**5 - 15*s**3 + 7*s**2 + 2*s**d + 3*s**4 + 0*s**5.
3*s**2*(s - 1)**2*(s + 3)
Let -8/3*o + 2/3*o**4 - 248/3*o**3 + 1016/3 - 254*o**2 = 0. Calculate o.
-2, 1, 127
Let i(k) be the second derivative of 5*k**6/6 + k**5/2 - 325*k**4/12 + 85*k**3/3 + 60*k**2 - 2*k - 769. Find x, given that i(x) = 0.
-4, -2/5, 1, 3
Let j = 3368 - 3349. Let v(i) be the third derivative of 0*i + 1/270*i**5 - 1/54*i**4 + 0*i**3 - j*i**2 + 0. Find m such that v(m) = 0.
0, 2
Let t be 800/880*88/20. Let p(c) be the third derivative of -1/1260*c**7 + 0 + 0*c**3 + 0*c**t + 1/720*c**6 - 23*c**2 + 0*c**5 + 0*c. Let p(j) = 0. Calculate j.
0, 1
Let r(i) be the first derivative of -10/3*i**3 + 0*i + 0*i**4 - 5/2*i**2 - 97 + 2*i**5 + 5/6*i**6. Let r(j) = 0. What is j?
-1, 0, 1
What is t in -364*t - 339*t**4 + 16*t**2 - 169 - 339*t**4 - 44*t**3 + 677*t**4 + 16*t**3 - 238*t**2 = 0?
-13, -1
Factor 1047 - 569 - 4*m**2 - 323 + 500*m + 2445.
-4*(m - 130)*(m + 5)
Let l(g) be the first derivative of -1/12*g**3 + 7/8*g**2 - 5/2*g + 58. Factor l(q).
-(q - 5)*(q - 2)/4
Suppose 0 = 3*o + 94 - 10. Let g = o - -42. Factor -698*i**5 + 0*i**2 + g*i**4 - 2*i**2 + 4*i**3 + 706*i**5.
2*i**2*(i + 1)**2*(4*i - 1)
Factor -2/11*l**2 + 810/11*l + 0.
-2*l*(l - 405)/11
Let j be (2/7)/((-40)/(-195944))*-1. Let s = j + 1400. Factor -8/5 + 1/5*n**2 + s*n.
(n - 2)*(n + 4)/5
Let i(l) be the first derivative of 6*l**5/5 + 5*l**4/4 - 97*l**3/3 - 40*l**2 + 16*l - 4438. Determine f so that i(f) = 0.
-4, -1, 1/6, 4
Factor 28*n**3 + 2*n**4 - 65589 - 84*n**2 + 2*n**4 - 108*n + 65589.
4*n*(n - 3)*(n + 1)*(n + 9)
Let s be (-242)/(-176) - 24/(-192). Let i(l) be the third derivative of 4/3*l**3 - 13/30*l**6 +