 1/2*k**3 - y*k - 12*k**2 = 0.
-8
Factor 26*h**3 + 18 - 44*h**2 + 33*h + 20*h**4 - 15*h**4 - 55*h**2 + 16*h**4 + h**3.
3*(h - 1)**2*(h + 3)*(7*h + 2)
Let v = -1476 + 1419. Let m be ((-32)/(-40))/(4 - v/(-15)). What is t in 15/4*t**3 + 5/4*t**m - 5/4*t**2 + 0 - 15/4*t = 0?
-3, -1, 0, 1
Let p = 58 + -54. What is m in 37*m**2 + m**p + 11*m**2 + 24*m - 3*m**4 - 22*m**2 = 0?
-3, -1, 0, 4
Let a(q) = -150*q + 4352. Let d be a(29). Let l(z) be the first derivative of -11 + 0*z**d - 6*z**4 + 0*z - 4/5*z**5 - 20/3*z**3. Solve l(t) = 0 for t.
-5, -1, 0
Let n(u) be the first derivative of u**6/12 + 16*u**5/5 + 7*u**4/2 - 49*u**3/3 - 157*u**2/4 - 31*u - 4425. Suppose n(g) = 0. Calculate g.
-31, -1, 2
Let m(q) be the third derivative of q**6/1080 - q**4/8 - 43*q**3/2 + 29*q**2. Let r(o) be the first derivative of m(o). Factor r(l).
(l - 3)*(l + 3)/3
Let s(v) be the first derivative of -4/7*v**3 - 15/14*v**2 - 3/28*v**4 - 43 - 6/7*v. Determine w so that s(w) = 0.
-2, -1
Solve -32/3 - 280/9*k + 208/3*k**2 - 266/9*k**3 + 2*k**4 = 0 for k.
-2/9, 1, 2, 12
Suppose -5*h = -4*c + 208, 9*c = -5*h + 4*c - 190. Let v be (12/h)/(33/(-44)). What is r in -2/5*r - 1/10*r**5 + 3/10*r**3 + v*r**2 + 0 - 1/5*r**4 = 0?
-2, 0, 1
Let r(i) be the second derivative of 1 - 1/60*i**5 + 1/6*i**3 + 24*i - 1/3*i**2 + 0*i**4. Solve r(p) = 0.
-2, 1
Let t(w) = -138*w - 952. Let n be t(-7). Let o(b) be the first derivative of n - 3/5*b**3 + 0*b**2 - 3/20*b**4 + 0*b. Factor o(v).
-3*v**2*(v + 3)/5
Let s(d) be the third derivative of d**8/672 + d**7/105 - 3*d**6/80 - 3*d**5/10 - 3*d**2 + 14*d + 32. Suppose s(o) = 0. Calculate o.
-4, -3, 0, 3
Let r(s) = -21*s**2 - 5*s - 1. Let d(o) = 62*o**2 + 2619*o - 1695201. Let b(i) = d(i) + 3*r(i). Factor b(x).
-(x - 1302)**2
Let w(k) = 22041*k - 176326. Let d be w(8). Factor -53/5*n**3 - 76/5*n + n**4 - 56/5 + 138/5*n**d.
(n - 7)*(n - 2)**2*(5*n + 2)/5
Let v(o) be the third derivative of -o**6/660 - 4*o**5/55 - 65*o**4/132 - 14*o**3/11 - 2134*o**2. Factor v(j).
-2*(j + 1)*(j + 2)*(j + 21)/11
Let z(j) = 55*j + 17. Let g be z(-4). Let s be (5/6)/(5 + g/42). Suppose 30*f**2 + 32*f**2 - 67*f**2 + s*f = 0. Calculate f.
0, 1
Suppose -2*l + 18 = 4*w, 0 = -4*l - w + 4*w + 3. Let h be (-2)/12 + (l - 14/6). Factor 0*d - d**3 + 3/2*d**4 + 0*d**2 + 0 - h*d**5.
-d**3*(d - 2)*(d - 1)/2
Let m(f) be the first derivative of 5*f**4/12 + 85*f**3/3 - 175*f**2/2 + 258*f + 217. Let j(u) be the first derivative of m(u). Solve j(i) = 0.
-35, 1
Let v(f) = 17*f**2 + 46*f + 96. Let m(p) = 11*p**2 + 17 + 20 + 26 + 31*p. Let z(c) = -8*m(c) + 5*v(c). Factor z(j).
-3*(j + 2)*(j + 4)
Let k(a) = -a**4 - 16*a**3 - 15*a**2 + 6*a + 3. Let l(b) = 14*b**3 + 14*b**2 - 4*b - 2. Let f(q) = -4*k(q) - 6*l(q). Factor f(n).
4*n**2*(n - 6)*(n + 1)
Let h(v) be the third derivative of 5*v**8/504 + v**7/1008 + v**5/15 + 7*v**3/3 + 73*v**2 + v. Let t(n) be the third derivative of h(n). Factor t(m).
5*m*(40*m + 1)
Find r, given that -4*r**4 - 183*r**2 + 0*r**2 + 149*r**2 + 760*r - 1114*r**2 + 392*r**3 = 0.
0, 1, 2, 95
Factor 0 - 3/5*f**3 + 0*f + 363/5*f**2.
-3*f**2*(f - 121)/5
Let p(k) = k**2 + 18*k + 83. Let n be p(-10). Factor -409*a**3 + 12*a**4 + 3*a**5 + 393*a**n + a**5.
4*a**3*(a - 1)*(a + 4)
Let o(s) be the second derivative of -s**5/100 + 9*s**4/40 - 2*s**3 + 117*s**2/2 - 32*s. Let d(t) be the first derivative of o(t). Factor d(n).
-3*(n - 5)*(n - 4)/5
Let o(y) = -32*y**4 - 33*y**3 - 6*y**2 - 5. Let l = -208 + 212. Let p(x) = 31*x**4 + 33*x**3 + 6*x**2 + 4. Let i(n) = l*o(n) + 5*p(n). Factor i(j).
3*j**2*(j + 1)*(9*j + 2)
Let n(j) be the third derivative of -1/15*j**6 - 1/210*j**7 + 0 - 5/12*j**4 + 0*j**3 + 0*j + 19/60*j**5 + 90*j**2. Determine x so that n(x) = 0.
-10, 0, 1
Suppose 5*d + t - 4 = 0, -3*t + 12 = -4*d - 0*t. Find v such that d*v - 2*v**5 - 11*v + 11*v + 4*v**4 + 6*v**3 = 0.
-1, 0, 3
Solve 146/15*o**2 + 0 - 308/15*o + 4/15*o**3 = 0.
-77/2, 0, 2
Let p be (-2 + 7/1)*(-4 - (-17)/4). Let k(v) be the second derivative of -2*v**3 - 16*v + 0*v**2 + 0 - 3/20*v**5 - p*v**4. Factor k(n).
-3*n*(n + 1)*(n + 4)
Let j(b) = 12*b**2 + 52*b - 500. Let u(h) = -10*h**2 - 54*h + 501. Let o(v) = 3*j(v) + 4*u(v). Factor o(y).
-4*(y - 6)*(y + 21)
Let a(c) = -c + 1. Let f(l) = -l**2 - 17*l - 62. Let x(j) = 10*a(j) + 5*f(j). Determine b, given that x(b) = 0.
-15, -4
Let o be (3*(-20)/(-135))/((-1)/(81/(-18))). Solve 85/3*w + 50/3 - 110/3*w**o - 25/3*w**3 = 0 for w.
-5, -2/5, 1
Let p(h) = h**3 - 47*h**2 - 308*h + 14478. Let v be p(47). Determine d, given that -29/4*d + 1/4*d**v + 7 = 0.
1, 28
Factor 2/7*w**3 + 0*w + 632/7*w**2 + 0.
2*w**2*(w + 316)/7
Suppose 916 = 4*g - 4*y + 964, 0 = -5*g - 4*y + 66. Factor -36/5 + 24/5*k - 3/5*k**g.
-3*(k - 6)*(k - 2)/5
Let n(f) = -f**2. Let a(h) = 3*h**3 + h**2 + 2. Let s(i) = -a(i) - 2*n(i). Let u be s(-1). Suppose 0*o**2 + 4*o**2 + 14*o - 5*o**u + 3*o**2 = 0. Calculate o.
-7, 0
Factor -4/3*n**2 + 584/3 - 284/3*n.
-4*(n - 2)*(n + 73)/3
Factor 1241*r**3 + 2622*r**2 + 166906906 - 1145814*r - 670*r**3 - 573*r**3.
-2*(r - 437)**3
Let u(i) be the first derivative of -4*i**5/5 + 9*i**4 + 28*i**3 + 22*i**2 + 155. Factor u(x).
-4*x*(x - 11)*(x + 1)**2
Let w(b) = b**2 - 69*b + 64. Let s(l) = -2*l**2 + 207*l - 191. Let d(g) = -2*s(g) - 7*w(g). Solve d(n) = 0 for n.
1, 22
Let o(j) = j**2 - j + 1. Let g(c) = 10*c**2 - 26*c - 96. Let t(a) = g(a) - 8*o(a). Let t(n) = 0. Calculate n.
-4, 13
Solve 194 - 150*s**2 - s**4 - 659 + 545*s - 156*s**3 + 227*s = 0.
-155, -3, 1
Let l(n) be the second derivative of 0*n**2 + 27/2*n**3 + 1/270*n**6 - 2*n + 3/20*n**5 + 31 + 9/4*n**4. Determine f, given that l(f) = 0.
-9, 0
Factor 46/15*w + 2/15*w**2 - 20/3.
2*(w - 2)*(w + 25)/15
Let m(d) be the third derivative of -4/15*d**3 - 10*d + 1/600*d**5 + 4*d**2 + 0 + 1/16*d**4. What is r in m(r) = 0?
-16, 1
Let b be (-24)/160*-15 - 19/((-532)/(-21)). Factor 1/2*v + 1/2*v**4 - b*v**2 + 1 - 1/2*v**3.
(v - 2)*(v - 1)*(v + 1)**2/2
Let a = 70796/5 - 1203172/85. Suppose -a*o**2 + 0*o - 96/17*o**3 - 2/17*o**5 - 26/17*o**4 + 0 = 0. Calculate o.
-6, -1, 0
Let f(k) be the first derivative of -k**3/4 - 101*k**2/8 + 17*k/2 - 1514. Let f(b) = 0. What is b?
-34, 1/3
Let a(g) be the first derivative of g**3/6 + 23*g**2/3 + 10*g - 1913. Factor a(c).
(c + 30)*(3*c + 2)/6
Let d(a) = -6*a**2 + 24*a + 18. Let w(l) = 8*l**2 - 24*l - 17. Let y = 226 + -221. Let p(q) = y*d(q) + 4*w(q). Solve p(s) = 0 for s.
-11, -1
Suppose 204*t - 12 = 198*t. Let f(p) be the third derivative of -1/8*p**4 + 18*p**t + 1/15*p**5 + 0 + 0*p - 1/6*p**3. Factor f(j).
(j - 1)*(4*j + 1)
Let v be ((-2)/8)/((2/(-12))/(20/270)). Let a(k) be the third derivative of 0*k**3 + v*k**4 + 0 + 17*k**2 - 1/45*k**5 - 1/90*k**6 + 0*k. Factor a(i).
-4*i*(i - 1)*(i + 2)/3
Suppose 0 = -26*y + 29*y - 12. Suppose 8*q**3 + q**4 + 12 - 1512*q - 8*q**2 + 1496*q + y - q**5 = 0. Calculate q.
-2, 1, 2
Determine l so that 101/3*l**2 - 67/3 - 65/6*l + 1/6*l**5 - 34/3*l**4 + 32/3*l**3 = 0.
-1, 1, 2, 67
Let o(i) = -3*i**3 + i**2 - 2*i + 2. Let z(y) = 13*y**3 - 113*y**2 + 12*y + 98. Let h(v) = 10*o(v) + 2*z(v). Suppose h(r) = 0. Calculate r.
-54, -1, 1
Let m(p) = -38*p**2 + 30*p - 48. Let b(t) = -69*t**2 + 61*t - 95. Let o(l) = -6*b(l) + 11*m(l). Let v be o(-10). Factor 2/13 + 6/13*f + 2/13*f**3 + 6/13*f**v.
2*(f + 1)**3/13
Determine i, given that 841/2*i + 1/4*i**2 + 707281/4 = 0.
-841
Factor 0*y + 10*y**3 + 1/3*y**4 + 27*y**2 + 0.
y**2*(y + 3)*(y + 27)/3
Let x(k) be the first derivative of -4*k**3/3 - 3*k**2 - 6*k + 33. Let m(c) = -3*c**2 - 5*c - 4. Let g(j) = 3*m(j) - 2*x(j). Factor g(n).
-n*(n + 3)
Let q be (-3)/((0 - 0) + 7/(-28)). Determine y, given that -4*y**2 + 35 + 19 - q*y - 38 = 0.
-4, 1
Let j = 41 - 39. Let -3*y**2 + 9*y + 0*y**4 - 7*y + 3*y**4 - j*y**4 = 0. What is y?
-2, 0, 1
Let i be 2/(-6 + (-280)/(-49)). Let r be i + 11 + -5 + (-36)/(-32). Factor 1/4*f**3 - 1/8*f + r*f**4 - 1/4*f**2 + 1/8 - 1/8*f**5.
-(f - 1)**3*(f + 1)**2/8
Suppose 425*d**2 + 1/2*d**5 - 12*d**4 - 42*d - 1764 + 81/2*d**3 = 0. What is d?
-3, 2, 14
Let p = -202098 + 202101. Factor 0 - 14/3*r**p + 2/3*r**2 + 0*r - 16/3*r**4.
-2*r**2*(r + 1)*(8*r - 1)/3
Solve -1/7*b**2 - 1/7*b**4 + 6/7*b + 0 - 4/7*b**3 = 0.
-3, -2, 0, 1
Let o be 9/12*9/((-135)/(-60)). Factor 6*h**o + 3/4*h**5 - 15/4*h**4 + 0*h + 0 - 