/5*i**5 - 4/5*i**3 - 2/5.
-2*(i - 1)**4*(i + 1)/5
Suppose -w - 16 = -5*w. Let h = 208962 - 208960. Factor 0*v**3 + 0*v + 0 + 4/3*v**h - 1/3*v**w.
-v**2*(v - 2)*(v + 2)/3
Suppose 20 = 4*u - 8, -22 = 3*a - 4*u. Factor 4/9*j**4 + 0 - 7/9*j**a + 5/9*j**3 - 2/9*j.
j*(j - 1)*(j + 2)*(4*j + 1)/9
Let i(c) = 25*c**2 - 1210*c + 368449. Let z(x) = 69*x**2 - 3631*x + 1105347. Let m(o) = 11*i(o) - 4*z(o). Let m(n) = 0. Calculate n.
607
Let h(i) = 1893*i + 9468. Let v be h(-5). Factor 1/7*n**5 + 4/7*n**2 + 0 + 0*n - 1/7*n**4 - 4/7*n**v.
n**2*(n - 2)*(n - 1)*(n + 2)/7
Let g(i) be the second derivative of 11*i**5/80 - 4*i**4/3 - 89*i**3/24 - 7*i**2/4 - 265*i - 1. Find r, given that g(r) = 0.
-1, -2/11, 7
Let t(z) = z**3 - z**2 - 1796*z + 5370. Let a be t(3). Solve a + 10/9*f**3 - 10/9*f**2 + 10/9*f**4 + 2/9*f**5 - 4/3*f = 0 for f.
-3, -2, -1, 0, 1
Factor -29*f**2 + 9/4*f**4 - 10*f - 39/2*f**3 + 0.
f*(f - 10)*(3*f + 2)**2/4
Let s be ((-4)/(5 - 9))/(171/513). Let 1/9*p**5 + 0*p + 0 + 0*p**2 - 1/9*p**4 + 0*p**s = 0. What is p?
0, 1
Let s(o) be the first derivative of -o**4/2 - 1121*o**3/3 - 839*o**2 - 559*o - 2519. Factor s(h).
-(h + 1)*(h + 559)*(2*h + 1)
Factor -222/5*a**2 + 57/5*a**3 + 24/5 + 204/5*a.
3*(a - 2)**2*(19*a + 2)/5
Let z(p) = -p**3 + 7*p**2 - p + 7. Let h be z(7). Let c = 47951/383224 + -6/47903. Solve d**2 + 3/8*d + h + 3/4*d**3 + 0*d**4 - c*d**5 = 0.
-1, 0, 3
Let x(r) be the second derivative of -72*r + 0*r**2 + 1/2*r**4 + 1/45*r**6 + 0 + 0*r**3 - 1/5*r**5. Factor x(h).
2*h**2*(h - 3)**2/3
Let z(j) be the first derivative of 3/20*j**5 + 0*j - 3/16*j**4 + 3/8*j**2 - 105 - 1/4*j**3. Factor z(f).
3*f*(f - 1)**2*(f + 1)/4
Determine d, given that -4704/5*d**4 + 0 - 2401/10*d**5 - 4412/5*d**3 - 8/5*d + 384/5*d**2 = 0.
-2, 0, 2/49
Find y such that -5*y**2 - 3044*y - 718371 + 2960*y - 3144834 + 8874*y = 0.
879
Solve -140*q**2 + 30*q**4 - 263*q**3 - 329*q**3 + 50 + 65*q - 344*q**3 + 811*q**3 = 0 for q.
-1, -1/2, 2/3, 5
Let w(s) be the third derivative of -s**5/420 - 173*s**4/28 - 1037*s**3/42 + 700*s**2 + 2*s + 4. Determine c so that w(c) = 0.
-1037, -1
Let o = 246 - 222. Solve -11 + 18 + 9*f**5 - 7 + o*f**4 - 18*f**2 - 21*f + 12*f**3 - 6 = 0 for f.
-1, -2/3, 1
Let z(s) be the first derivative of -53*s**5 + 16*s**3 + 21*s**5 + 17*s**4 + 124 - 26 + 28*s**5. Factor z(o).
-4*o**2*(o - 4)*(5*o + 3)
Let y be 5/(-15)*(-5229)/35. Let c = 2789/55 - y. Factor 2/11*o**3 + 8/11*o**2 + 4/11 + c*o.
2*(o + 1)**2*(o + 2)/11
Let c(k) be the first derivative of 2/9*k**3 - 218 + 28/3*k - 3*k**2. Let c(g) = 0. What is g?
2, 7
Suppose -132*d - 3*y - 22 = -138*d + 8, 4*d + 3*y = 0. Factor 0 + 3/11*q**d - 25/11*q**2 + 6/11*q + 4/11*q**4.
q*(q - 2)*(q + 3)*(4*q - 1)/11
Let k be (5*(-6)/(-525))/((-33)/(-55)). Let h(f) be the first derivative of 0*f + k*f**3 + 7 + 1/14*f**4 - 2/7*f**2. Factor h(g).
2*g*(g - 1)*(g + 2)/7
Let l = 65 + -62. Factor l*r**4 + 120*r**2 + 8*r**3 + 19*r**3 + 176*r + r**4 + 9*r**3 + 96.
4*(r + 2)**3*(r + 3)
Factor 28*y**2 - 8*y**4 - 41*y**2 + y**5 + 156*y**3 + 13*y**2 - 35*y**4.
y**3*(y - 39)*(y - 4)
Let y(v) be the third derivative of -24*v**3 + 0 - 1/240*v**5 + 6*v**2 - 1/2*v**4 + 0*v. Factor y(p).
-(p + 24)**2/4
Let p(u) be the second derivative of -9/2*u**3 - 5 - 81/2*u**2 - 1/120*u**6 - 5*u + 3/40*u**5 + 9/16*u**4. Factor p(b).
-(b - 6)**2*(b + 3)**2/4
Factor 1177*j**2 + 196/5 - 121/5*j**3 + 2152/5*j.
-(j - 49)*(11*j + 2)**2/5
Let w be -6 + 1 + ((-1)/((-2)/18) - -1). Let k(l) be the first derivative of 25/3*l**3 - 18 + 0*l + l**w - 5*l**2 - 5*l**4. Factor k(t).
5*t*(t - 2)*(t - 1)**2
Let f(r) be the third derivative of r**7/1260 - 7*r**6/45 - 19*r**5/20 - 43*r**4/18 - 115*r**3/36 + 273*r**2. Solve f(a) = 0 for a.
-1, 115
Let h(y) be the third derivative of -7*y**6/150 + 199*y**5/25 - 379*y**4/15 + 112*y**3/5 - 4750*y**2. Determine n so that h(n) = 0.
2/7, 1, 84
Let x(j) be the third derivative of 0 + 57*j**2 - 3/5*j**5 - 7/3*j**4 + 0*j**3 + 0*j + 13/30*j**6 + 1/84*j**8 + 6/35*j**7. Determine g so that x(g) = 0.
-7, -2, -1, 0, 1
Let k(f) = 155*f**2 - 25595*f + 8845. Let y(c) = -13*c**2 + 2133*c - 736. Let q(u) = 2*k(u) + 25*y(u). Factor q(d).
-5*(d - 142)*(3*d - 1)
Let t(r) = -4*r**3 - 141*r**2 - 146*r - 1. Let n(x) = x**3 - 9*x**2 - x + 1. Let p(u) = n(u) + t(u). Determine y, given that p(y) = 0.
-49, -1, 0
Let -2/3*o**5 - 74/3*o**3 - 32/3*o + 0 - 8*o**4 - 28*o**2 = 0. What is o?
-8, -2, -1, 0
Factor 108/5 + 26/5*a**3 - 144/5*a**2 + 162/5*a.
2*(a - 3)**2*(13*a + 6)/5
Suppose 0 = q - 2*a + 48, -q + a - 42 = -4*a. Let z = q - -52. Let -3*x**5 + 2*x**3 + 27*x**2 + 13*x**3 + z*x**4 - 7*x**4 - 4*x - 12 + 0*x = 0. Calculate x.
-3, -1, 2/3, 2
Suppose -16 = -6*f - 4. Solve 9*x**f + 136*x + 12*x**2 - 139*x = 0.
0, 1/7
Let w(i) be the second derivative of 0 - 3/40*i**5 + 0*i**2 - 15/4*i**3 + 34*i + 2*i**4. What is l in w(l) = 0?
0, 1, 15
Let v = 393408 + -393404. Determine q, given that 277/9*q**3 - 2852*q**2 - 778688/9 + 804080/9*q - 1/9*q**v = 0.
1, 92
Let n be (3 + 1)/(24 - 23). Factor 70*a + 92*a**2 + 22*a**4 - 18*a**n + 93 + 62*a + 12*a**3 - 8*a**4 - 37.
-4*(a - 7)*(a + 1)**2*(a + 2)
Let b be (4/3)/((1024/(-96))/(-16)). Let i(r) be the first derivative of 21 + 35/3*r**3 - 5/4*r**4 + 25*r - 55/2*r**b. Let i(m) = 0. What is m?
1, 5
Let m be -1*4 + 1530/15. Let p = m - 95. Let -2404*w**2 + 2399*w**2 + 42 + p - 40*w = 0. Calculate w.
-9, 1
Let r(t) be the third derivative of t**8/336 + t**7/105 - 7*t**6/24 + 23*t**5/15 - 23*t**4/6 + 16*t**3/3 - 2*t**2 - 548*t. Factor r(q).
(q - 2)**2*(q - 1)**2*(q + 8)
Let j be 280/145 + -2 - (-69960)/89320. Factor -1/7*p**2 + 2 - j*p.
-(p - 2)*(p + 7)/7
Let x(m) be the third derivative of m**7/350 - 13*m**6/200 + 21*m**5/100 + 13*m**4/40 - 11*m**3/5 + 6*m**2 + 883*m. What is r in x(r) = 0?
-1, 1, 2, 11
Let n(z) = 44*z**2 + 99408*z + 55687534. Let v(m) = -4*m**2 - 9036*m - 5062503. Let y(t) = 3*n(t) + 34*v(t). Suppose y(b) = 0. Calculate b.
-1125
Let z be (-17)/(-17) + 2*(3 + 10/(-4)). Let r(x) be the first derivative of -33/2*x**z + 30*x + 20 + x**3. Factor r(h).
3*(h - 10)*(h - 1)
Let a be -4*(-2 + 28/16). Let l(d) = 5*d**2 + 340*d - 5455. Let v(p) = p**2 + p - 1. Let b(j) = a*l(j) - 10*v(j). Factor b(w).
-5*(w - 33)**2
Let w(d) be the third derivative of -d**7/504 + d**6/18 + 3*d**5/8 - 107*d**4/24 - 20*d**2 + 6. Let j(h) be the second derivative of w(h). Factor j(x).
-5*(x - 9)*(x + 1)
Let j be (-26)/(-65) + 26/(-40)*-4. Let m(f) be the first derivative of 0*f + 6 - 1/12*f**2 - 1/18*f**j. Factor m(n).
-n*(n + 1)/6
Let s(z) be the first derivative of -2*z**5/25 + 19*z**4/5 + 112*z**3/5 + 487. Factor s(c).
-2*c**2*(c - 42)*(c + 4)/5
Let v(t) be the first derivative of t**5 - 25*t**4/4 - 5*t**3/3 + 25*t**2/2 + 583. Factor v(l).
5*l*(l - 5)*(l - 1)*(l + 1)
Factor 53/2*i**2 + 4563/2 - 1/2*i**3 - 871/2*i.
-(i - 27)*(i - 13)**2/2
Suppose -337*x + 730*x - 256*x - 274 = 0. Factor 12 + 2/5*g**x - 34/5*g.
2*(g - 15)*(g - 2)/5
Let r(n) be the first derivative of 0*n + 3/7*n**3 - 4 + 1/210*n**5 - 1/14*n**4 + 8*n**2. Let t(b) be the second derivative of r(b). Find a such that t(a) = 0.
3
Let d be 3268/10 + (-184)/230. Let f = 328 - d. Find q such that 1/8*q**4 + 1/4*q**f - 3/8 - 1/2*q + 1/2*q**3 = 0.
-3, -1, 1
Let d(m) = -m**5 - m**3 - 5*m**2. Let l(o) = 5*o**4 + 115*o**3 + 245*o**2 + 120*o. Let h(b) = -5*d(b) - l(b). Factor h(a).
5*a*(a - 6)*(a + 1)*(a + 2)**2
Let x(q) = 7*q**3 - 589*q**2 + 21327*q - 20736. Let b(t) = -48*t**3 + 4120*t**2 - 149284*t + 145152. Let v(o) = -3*b(o) - 20*x(o). Factor v(u).
4*(u - 72)**2*(u - 1)
Let s = 227723/30 + -45535/6. Determine i, given that -s*i**4 + 8/5 - 6/5*i**2 + 26/5*i**3 - 32/5*i = 0.
-1, 1/4, 2
Let c(j) = -2*j**2 + 40 + 12*j**2 + j**3 + 84. Let i be c(-11). Factor -16*q + 4*q**2 - 1/3*q**i + 64/3.
-(q - 4)**3/3
Let p = -18540 + 18543. Let q(h) be the third derivative of 0*h + 18*h**2 + 1/90*h**5 + 0 - 2/9*h**p + 1/36*h**4. What is i in q(i) = 0?
-2, 1
Let o(w) be the first derivative of -w**4/10 + 22*w**3/15 - 2*w**2 + 2271. Factor o(u).
-2*u*(u - 10)*(u - 1)/5
Suppose -u - 19*u = -3*u. Suppose 0 = 3*b + 3*y + 9, u = -4*y - 8 - 4. Factor b*z + 0*z**2 + 0 - 1/3*z**4 + 2/3*z**3.
-z**3*(z - 2)/3
Let d = 15109 + -15109. Let b(s) be the third derivative of -1/8*s**4 + 1/10*s**5 + 3/8*s**6 + 0