 2*k**n - 16*k - 29 + 52 - 5 = 0 for k.
-9, 1
Let u(l) be the first derivative of -5041*l**5/5 + 5325*l**4/4 - 96*l**3 + 2*l**2 - 1118. Factor u(i).
-i*(i - 1)*(71*i - 2)**2
Let y(c) be the second derivative of c**5/80 - 13*c**4/48 - 19*c**3/12 + 15*c**2 + 461*c. Factor y(u).
(u - 15)*(u - 2)*(u + 4)/4
Let q = 13462 - 13455. Let n(g) be the third derivative of 0*g**3 + 24*g**2 + 0*g**4 + 0*g**5 + 0*g + 1/240*g**6 + 0 + 1/420*g**q. Factor n(i).
i**3*(i + 1)/2
Let d(o) be the third derivative of o**6/420 - 4*o**5/35 - 9*o**4/28 + 50*o**3/21 - 4017*o**2. Suppose d(z) = 0. What is z?
-2, 1, 25
Let h(r) be the first derivative of -1/6*r**6 + 0*r**2 + 5/3*r**4 - 13*r + 0*r**5 + 15 + 0*r**3. Let u(q) be the first derivative of h(q). Factor u(x).
-5*x**2*(x - 2)*(x + 2)
Let u(a) = 54*a + 384. Let y be u(-7). Let v be (-67)/(-8) + -14 + y. Suppose -21/8*r**2 - 9/2 + 6*r + v*r**3 = 0. What is r?
2, 3
Let i be 800/2310 + (-1062)/7722 + (-3)/(-39). Let s = 4789/7 + -683. Determine u so that i + 2/7*u**4 + 8/7*u**3 + 12/7*u**2 + s*u = 0.
-1
Let l(a) = -a**2 + 10*a + 4. Let n be l(7). Solve -n*z**2 + 43*z + 23*z**2 - 33*z = 0 for z.
0, 5
Let h(x) = 3*x**2 + 7*x - 23. Let t be h(-5). Let d be (0 - 144/(-68)) + (-2)/t. Let -35/2*r - 5 - 5*r**3 + 5/2*r**5 - 20*r**d + 5*r**4 = 0. Calculate r.
-1, 2
Find x, given that 4 - 220/3*x + 54*x**3 + 58/3*x**5 + 229/3*x**4 - 241/3*x**2 = 0.
-2, -1, 3/58, 1
Let m be (-4)/(((-60)/(-105))/((-38)/133)). Factor 3/5*b - 2/5 - 1/5*b**m.
-(b - 2)*(b - 1)/5
Let m(h) be the third derivative of 2*h**7/105 + h**6/15 - 4*h**5/5 - 3*h**4 + 18*h**3 - 1328*h**2. What is t in m(t) = 0?
-3, 1, 3
Solve 1220/3*l - 1084*l**2 - 112/3 - 407/3*l**3 + 121/3*l**4 = 0.
-4, 2/11, 7
Let c(n) = -7*n**2 + 244*n - 233. Let s(p) = -36*p**2 + 1222*p - 1164. Let a = 565 + -563. Let v(f) = a*s(f) - 11*c(f). Factor v(i).
5*(i - 47)*(i - 1)
Factor -n**3 + 10*n + 0 + 19/2*n**2 - 1/2*n**4.
-n*(n - 4)*(n + 1)*(n + 5)/2
Let w(f) be the second derivative of -f**5/80 - 5*f**4/16 - 2*f**3 - 5*f**2/2 + 88*f - 2. Let p(v) be the first derivative of w(v). What is t in p(t) = 0?
-8, -2
Suppose 0 - 2/11*t**3 + 120/11*t**2 + 1088/11*t = 0. What is t?
-8, 0, 68
Factor 8*q**2 + 7*q**2 + 221*q - 2085 - 24*q**2 + 459*q + 14*q**2.
5*(q - 3)*(q + 139)
Let g(h) = 9*h**2 - 30*h + 21. Let p(f) be the second derivative of 11*f**4/6 - 37*f**3/3 + 26*f**2 - 7*f + 9. Let b(a) = -12*g(a) + 5*p(a). Factor b(w).
2*(w - 4)*(w - 1)
Let p = -1118765/3 - -372923. Factor 1/3*o**2 - 4 - p*o.
(o - 6)*(o + 2)/3
Let w = -8861/7739 + 79775977/55798190. Let x = w - -1/1030. Determine j, given that -4/7 - 6/7*j - x*j**2 = 0.
-2, -1
Let r(x) = 2*x + 4. Let d be r(1). Suppose -2*s + d = -2*n, -s + 2*n = -6*s + 36. Solve h - 4 + s - 3*h**2 + 2*h**3 - 3*h**3 + h**2 = 0 for h.
-2, -1, 1
Let z = -2737 + 2741. Let d(c) be the first derivative of -c**5 + 9 - 15/2*c**2 - 5/3*c**3 + 10*c + 15/4*c**z. Find k, given that d(k) = 0.
-1, 1, 2
Suppose -53*w - 2 = -4*k - 58*w, w - 7 = -3*k. Factor 7/4*d**2 + 9/4 - 17/4*d + 1/4*d**k.
(d - 1)**2*(d + 9)/4
Let a(q) be the first derivative of 1/2*q**3 + 135 + 294*q - 21*q**2. Factor a(d).
3*(d - 14)**2/2
Let 40 - 60*r**2 - 35/2*r**3 + 15/2*r**4 + 30*r = 0. Calculate r.
-2, -2/3, 1, 4
Determine v so that 3/4*v**2 - 5865/4*v - 1467 = 0.
-1, 1956
Let h = -1210435678/3443085 - -2/382565. Let t = h + 352. Factor -t*d**3 - 4/9 - 2/9*d**2 + 10/9*d.
-2*(d - 1)*(d + 2)*(2*d - 1)/9
Factor -35*k + 46 + 523 - 79 - 5*k**2.
-5*(k - 7)*(k + 14)
Let w(n) be the second derivative of -1/20*n**4 + 1/5*n**2 + 1/150*n**6 + 1/100*n**5 - 1/30*n**3 + 2*n + 3. Factor w(p).
(p - 1)**2*(p + 1)*(p + 2)/5
Factor 6097423 - 1501*i + 1041*i + 3*i**2 - 2184931 - 2440*i - 3952*i.
3*(i - 1142)**2
Suppose -2*q + 18 = -3*v - 11, -2*q + 2*v + 30 = 0. Suppose -q*r = r. Determine d, given that 0*d**2 - 2/5*d**4 + r*d + 2/5*d**5 + 0*d**3 + 0 = 0.
0, 1
Let v be 2*-7 - (-25)/((-3850)/(-2244)). Factor -4/7*p**2 + 4/7*p - 4/7*p**3 + v.
-4*(p - 1)*(p + 1)**2/7
Factor 35*d**3 - 14*d + 16*d**3 + 3*d - 7*d + 17*d**2 + 130*d**2.
3*d*(d + 3)*(17*d - 2)
Let u(i) = -7*i**3 - 51*i**2 - 14*i + 2. Let y be u(-7). Let w(v) be the third derivative of -1/36*v**4 + 0*v + 0 + 0*v**3 - 16*v**y - 1/180*v**5. Factor w(r).
-r*(r + 2)/3
Let t be ((-6)/63)/((-4)/7). Let x(y) be the third derivative of 0*y - 7/30*y**5 + 0 + 15*y**2 + 0*y**3 + t*y**4. Determine s, given that x(s) = 0.
0, 2/7
Let i(m) = m**3 + 27*m**2 - 84*m + 56. Let d(c) = 2*c**3 + 28*c**2 - 86*c + 56. Let k(v) = -3*d(v) + 4*i(v). Factor k(p).
-2*(p - 7)*(p - 4)*(p - 1)
Let h be 5/((-3105)/(-1158)) - ((-2865)/115 + 25). Determine q so that -h*q + 2/3*q**3 + 0 - 10/9*q**2 = 0.
-1, 0, 8/3
Suppose 5*o = 79*x - 80*x + 13, -5*x + 5 = 5*o. Let h be (73/25 - o)/((-12)/15). Find k such that -1/10*k**3 - 3/10*k - 3/10*k**2 - h = 0.
-1
Suppose -3*s - 3*u + 6 = 0, 13 = -4*s - 3*u + 21. Suppose -13*j = -9*j - 4, 5*p - s*j - 8 = 0. Solve 5*l - 1/4*l**4 - 9/2*l**p + 7/4*l**3 - 2 = 0 for l.
1, 2
Let q(y) be the second derivative of -5*y + 5/4*y**4 - 2 - 15/2*y**2 + 3/20*y**5 - 1/2*y**3. Solve q(j) = 0 for j.
-5, -1, 1
Let y be -2*(-8 - (-20570)/2570). Let p = y - -3094/1285. Find o such that p*o**2 + 22/5*o**3 + 0 + 0*o = 0.
-6/11, 0
Let j(t) be the first derivative of -5 + 5/3*t**3 - 1/40*t**5 + 0*t - 1/12*t**4 + 0*t**2 - 1/360*t**6. Let h(d) be the third derivative of j(d). Factor h(c).
-(c + 1)*(c + 2)
Let h(q) = -40*q**3 + 128*q**2 + 134*q - 17. Let k(x) = 7*x**3 - 21*x**2 - 22*x + 3. Let m(z) = 6*h(z) + 34*k(z). Factor m(y).
-2*y*(y - 28)*(y + 1)
Let n(f) = -3*f**3 - f - 1. Let p(g) = 10*g**3 + 7*g**2 + 18*g + 12. Let a(o) = 6*n(o) + 2*p(o). Suppose a(i) = 0. Calculate i.
-3, -1
Let w(a) = 2*a**3 + 11*a**2 - 22*a - 54. Let k be w(-13). Let l be k/294 + 11 + -2. Factor 1/6*f**3 + 11/6*f - 5/6 - l*f**2.
(f - 5)*(f - 1)**2/6
Let f(l) be the first derivative of -15/4*l - 5/2*l**2 - 5/12*l**3 + 296. Factor f(u).
-5*(u + 1)*(u + 3)/4
Suppose 5*n + 0 = h - 12, 8 = 3*h - n. Suppose q = 2*o + h, -q + 4*o = 21 - 25. Factor 4/15*w + 14/15*w**2 + 2/3*w**3 + q.
2*w*(w + 1)*(5*w + 2)/15
Let u be (-627)/(-108) + (-424)/106 - (-4)/9. Factor -u*r - 3/2*r**3 + 0 + 21/4*r**2.
-3*r*(r - 3)*(2*r - 1)/4
Let j be 19/(-38)*-1*32/48. Factor 1/9*o**3 + 0 - j*o**2 - 4/9*o.
o*(o - 4)*(o + 1)/9
Let b = 604/35 - 104/7. Suppose -45*m + 166 = 38*m. Factor -2*a + 2/5*a**m - b.
2*(a - 6)*(a + 1)/5
Let h(i) be the second derivative of -i**7/189 + i**6/135 + 7*i**5/90 - i**4/54 - 2*i**3/9 + 140*i + 22. Let h(d) = 0. What is d?
-2, -1, 0, 1, 3
Let g(q) = 5*q + 34. Let c(p) = p - 1. Let k(i) = -2*c(i) - g(i). Let y be k(-8). Factor 335*u - 2*u**3 - 326*u - y*u**2 + 15*u**3 + 2.
(u - 1)**2*(13*u + 2)
Let k be (-1)/((-50)/28 + 1). Let m = 202781/139238 - 23/12658. Suppose -m*w + k + 2/11*w**2 = 0. Calculate w.
1, 7
Let o(p) = -p**2 - p + 1. Let b(z) = -12*z**2 - 20*z + 80. Let y = 403 - 402. Let l(i) = y*b(i) - 8*o(i). Factor l(g).
-4*(g - 3)*(g + 6)
Let r = -25 - -27. Suppose -r*z + 6 = z. Factor -10*o - 3*o**2 + 3*o**2 - 3*o**2 - 2*o**z.
-5*o*(o + 2)
Let r(s) = -18*s**3 - 180*s**2 + 4572*s - 15488. Let v(x) = 13*x**3 + 181*x**2 - 4573*x + 15488. Let p(a) = 3*r(a) + 4*v(a). Find d, given that p(d) = 0.
4, 44
Let r = 157657/34489 + 1/4927. Let u(c) be the first derivative of -r*c + 1/14*c**4 + 20/7*c**2 + 30 - 16/21*c**3. Factor u(j).
2*(j - 4)*(j - 2)**2/7
Let q(f) be the second derivative of -f**6/10 - 3*f**5 - 29*f**4/4 + 61*f**3 - 108*f**2 + 422*f. Factor q(a).
-3*(a - 1)**2*(a + 4)*(a + 18)
Let x(n) be the first derivative of 23/20*n**4 + 6/5*n**2 - 8/25*n**5 + 0*n + 1/30*n**6 + 100 - 28/15*n**3. Factor x(p).
p*(p - 3)*(p - 2)**2*(p - 1)/5
Let c(f) = -4*f**2 - 52*f - 94. Let o(a) = 5*a**2 + 52*a + 93. Let i(r) = -3*c(r) - 2*o(r). Factor i(k).
2*(k + 2)*(k + 24)
Let c = 252381 + -252378. Factor 0*q**c + 0*q + 0 + 2/5*q**4 - 8/5*q**2.
2*q**2*(q - 2)*(q + 2)/5
Suppose -32704*j + 10941 = -29057*j. Factor -24/7*z + 1/7*z**j + 80/7 - 3/7*z**2.
(z - 4)**2*(z + 5)/7
Let g(b) = -141*b - 41 + 17*b**3 - 27 - 33 - 59*b**2 + 36. Let w(c) = 12*c**3 - 39*c**2 - 94*c - 43. Let l(o) = -5*g(o) + 7*w(o). Determine y so that l(y) = 0.
-1, 24
Let u be (-208)/(-6) + 2/(-15)*5. Let 76*p**5 - 39*p**5 - u*p**5 - 6*p**4 = 0. Calculat