*i - 6)
Factor -5*z**4 - 13 - 558083*z**3 + 13 + 558081*z**3 + 3*z**5.
z**3*(z - 2)*(3*z + 1)
Find k such that 206/3*k + 2/3*k**3 - 50 - 58/3*k**2 = 0.
1, 3, 25
Find z, given that -2/7*z**5 + 214/7*z**3 - 276/7*z**2 - 48/7*z**4 + 16*z + 0 = 0.
-28, 0, 1, 2
Let h be (-16)/(-72) - 2/18*56. Let d be ((-3)/h + 2)*(-8)/(-65). What is v in -d - 2/13*v + 2/13*v**2 = 0?
-1, 2
Suppose -33 = -96*z + 93*z. Find x, given that -4*x - x**2 + 12*x - z*x = 0.
-3, 0
Let d(k) be the first derivative of -k**4/4 + 11*k**3/9 - 4*k**2/3 + 49*k + 64. Let x(o) be the first derivative of d(o). Determine r so that x(r) = 0.
4/9, 2
Let v(s) = -12*s**2 - 26*s + 16. Let g be v(8). Let u = g + 6740/7. Solve 8/7*z + 36/7*z**3 + 4/7*z**5 + 0 + 4*z**2 + u*z**4 = 0 for z.
-2, -1, 0
Suppose 360*p = 362*p - 3764. Solve 14*v**5 - 648 - 234*v**4 + p*v**2 - 367*v - 575*v + 786*v**3 - 858*v = 0.
-2, -2/7, 1, 9
Let n = 6 - 1184. Let z = -1176 - n. Find a, given that -25/6*a - 5/6*a**z - 10/3 = 0.
-4, -1
Let q be (-63)/6*103*12/(-9). Let a = q + -1440. Factor -3/8*c**3 - 3/2*c**a - 3/2*c + 0.
-3*c*(c + 2)**2/8
Let z be (-558)/(-40) - (-1335)/(-1780). Let -18/5*d**4 + 72/5*d - z*d**3 + 48/5 - 36/5*d**2 = 0. What is d?
-2, -2/3, 1
Let d(k) be the first derivative of 81 + 12*k + 9/2*k**2 - k**3. Factor d(r).
-3*(r - 4)*(r + 1)
Factor -52*m + 3080/9 + 4/9*m**2.
4*(m - 110)*(m - 7)/9
Suppose -2*f + 17 = f + k, -17 = 2*f - 5*k. Let j = -66897 - -66900. Find r, given that 7/5*r - 7/5*r**f + r**2 - 2/5*r**5 + 2/5 - r**j = 0.
-2, -1, -1/2, 1
Let b(j) be the first derivative of 2*j**5/15 + 13*j**4/2 + 214*j**3/9 - 13*j**2 - 72*j - 2083. Find t such that b(t) = 0.
-36, -3, -1, 1
Let s = -85 + 89. Solve 0*x**4 + 4*x**s + 8*x**5 - 8*x**4 - 9*x**5 = 0 for x.
-4, 0
Let 140*y + 1019/2*y**4 + 0 - 1085*y**3 + 15/2*y**5 + 2*y**2 = 0. Calculate y.
-70, -1/3, 0, 2/5, 2
Let v(f) be the second derivative of -f**7/2520 - f**6/72 - 3*f**5/40 + 29*f**4/12 - 2*f - 9. Let b(s) be the third derivative of v(s). Factor b(c).
-(c + 1)*(c + 9)
Let k(w) = -w**3 - 4*w**2 + 6*w + 4. Let c be k(-2). Let i = c + 116/7. Determine h so that i*h**2 - 2/7 + 2/7*h = 0.
-1, 1/2
Let i(w) = 2*w - 2. Let m(h) = -4050*h**2 + 3980*h - 988. Let x(o) = -10*i(o) + m(o). Suppose x(b) = 0. Calculate b.
22/45
Suppose 11*u + 195 = 778. Let l = 60 - u. Factor -8*c**3 - l*c + 3*c + 0*c**3 + 5*c**2 + 7*c**3.
-c*(c - 4)*(c - 1)
Suppose 122*z + 27*z**4 + 300 + 338*z + 93*z**2 + 62*z**2 - 32*z**4 - 10*z**3 = 0. What is z?
-5, -2, -1, 6
What is r in -420/13 + 210/13*r**2 + 166/13*r + 2/13*r**4 + 42/13*r**3 = 0?
-14, -5, -3, 1
Let s(k) be the third derivative of -k**6/24 + 7*k**5/6 - 55*k**4/6 + 100*k**3/3 - 443*k**2 + 2*k - 1. Factor s(g).
-5*(g - 10)*(g - 2)**2
Let m(f) = f**3 + 4*f**2 + 1. Let x be m(5). Suppose 0 = 12*c - 250 + x. Factor -240/7*s - 96/7 - 30/7*s**4 - 3/7*s**5 - 240/7*s**c - 120/7*s**3.
-3*(s + 2)**5/7
Factor 32*w**2 + 801*w - 7*w**3 - 243 - 234*w**2 - 2*w**3 - 11*w**2.
-3*(w - 3)*(w + 27)*(3*w - 1)
Let v(a) = -6*a**2 - 30*a - 36. Let x(k) = -15*k - 4 - 14 - 111*k**2 + 108*k**2. Let c(g) = -3*v(g) + 5*x(g). Let c(n) = 0. What is n?
-3, -2
Let n(l) be the first derivative of 7/12*l**3 + 9/4*l - 15/8*l**2 - 1/16*l**4 + 103. Factor n(h).
-(h - 3)**2*(h - 1)/4
Let q(u) be the first derivative of -144/5*u + 84/5*u**2 + 60 + 1/20*u**4 - 5/3*u**3. What is a in q(a) = 0?
1, 12
Let d(i) be the second derivative of -3*i**5/40 - 93*i**4/4 + 187*i**3/4 + 2*i + 2734. What is f in d(f) = 0?
-187, 0, 1
Let m(i) be the first derivative of -i**4/20 - 2*i**3/5 - 6*i**2/5 + 147*i + 237. Let d(n) be the first derivative of m(n). Factor d(l).
-3*(l + 2)**2/5
Suppose 0 = 3*l + 3 - 6. Let b be l - -1 - ((5 - 0) + -11). Determine c so that -14*c**3 - 2 + 2*c**4 + 12*c**2 - 4*c**4 + 7*c + 7*c**5 - b*c**2 = 0.
-1, 2/7, 1
Factor -6776 - 6946 + 43*q + 13470 - q**2.
-(q - 36)*(q - 7)
Let r(k) be the first derivative of -21/16*k**4 + 168 - 27/8*k**2 - 15/4*k**3 + 0*k - 3/20*k**5. What is c in r(c) = 0?
-3, -1, 0
Let t(i) be the first derivative of -3*i**3 - 83 - 6/5*i + 51/10*i**2. Factor t(y).
-3*(y - 1)*(15*y - 2)/5
Let u be (-5)/(-200)*8*1. Let x(f) be the second derivative of 1/30*f**6 + 1/2*f**4 + 2/3*f**3 + 1/2*f**2 + f + 0 + u*f**5. Find d such that x(d) = 0.
-1
Let o be 52/3 + (-40)/12 + 4. Suppose o = -67*u + 85. Find x, given that u - 1/3*x**2 - 2/3*x = 0.
-3, 1
Let s = 1003 + -12055/12. Let k = 25/12 + s. Find z, given that -k + 1/2*z**2 + 0*z = 0.
-1, 1
Let a(v) = -3*v**3 + 456*v**2 + 843*v + 420. Let r(m) = -3*m**3 + 469*m**2 + 843*m + 419. Let t(p) = -4*a(p) + 3*r(p). Factor t(i).
3*(i - 141)*(i + 1)**2
Let o(i) be the first derivative of 6*i - 51 - 3/4*i**3 + 7/4*i**2 + 1/16*i**4. Factor o(t).
(t - 6)*(t - 4)*(t + 1)/4
Let q = -746708 - -746710. Factor -8/15 - 8/15*a - 2/15*a**q.
-2*(a + 2)**2/15
Factor 285/4*u + 0 + 21/2*u**2 - 3/4*u**3.
-3*u*(u - 19)*(u + 5)/4
Let l(d) be the third derivative of -d**7/2100 + 67*d**6/200 - 39997*d**5/600 - 6767*d**4/20 - 10201*d**3/15 - 1278*d**2. Find h such that l(h) = 0.
-1, 202
Determine m, given that -148/3*m**2 - 2/9*m**4 - 56/9*m**3 - 338/9 - 728/9*m = 0.
-13, -1
Suppose 26 = 16*p - 3*p. Solve p*s**3 + 113*s**2 - 242*s**2 + 24 - 2*s + 103*s**2 + 2*s**4 = 0 for s.
-4, -1, 1, 3
Let m(b) be the third derivative of -101*b**2 - 1/48*b**5 + 0 + 1/4*b**3 + 0*b + 29/96*b**4. Let m(o) = 0. Calculate o.
-1/5, 6
Let l be (-7)/(-14) - 6/(-4). Let z = -1828 + 1830. Suppose 2*i + i**5 + 5*i**4 + 8*i**3 + i**3 - i**l + 8*i**z = 0. Calculate i.
-2, -1, 0
Let u(c) be the second derivative of -c**8/2240 - c**7/84 - 3*c**6/80 - 7*c**4/6 - c - 7. Let i(w) be the third derivative of u(w). Factor i(r).
-3*r*(r + 1)*(r + 9)
Let y = 2072 - 2072. Let b(k) be the first derivative of -38 + 3/10*k**2 + y*k + 2/5*k**3 + 3/20*k**4. Factor b(l).
3*l*(l + 1)**2/5
Let m(y) be the third derivative of -y**6/120 + 11*y**5/60 - y**4 - 6*y**3 - 1034*y**2. Factor m(r).
-(r - 6)**2*(r + 1)
Let n be 2/8 + 330/(-40). Let m = n - -12. Factor -12*l**4 - 6*l**2 + 17*l**m + l**2.
5*l**2*(l - 1)*(l + 1)
Let s(z) be the second derivative of 1/28*z**4 + 216/7*z**2 + 31*z + 12/7*z**3 + 0. Suppose s(f) = 0. What is f?
-12
Let d(j) be the second derivative of -5*j**7/21 + 148*j**6/15 - 45*j**5/2 + 13*j**4/3 + 56*j**3/3 + 8758*j. Determine h so that d(h) = 0.
-2/5, 0, 1, 28
Suppose -9*w + 5*w = -y + 23, -3*w - 15 = 0. Solve -8*q + 6*q + 5*q**2 + 3*q**3 + 0*q**2 - 5 - y*q + 2*q**3 = 0 for q.
-1, 1
Factor -1/3*u**2 + 74/3*u - 71.
-(u - 71)*(u - 3)/3
Let q(s) be the third derivative of 1/230*s**5 + 2*s**2 + 34*s - 8/69*s**3 - 5/138*s**4 + 0. Factor q(i).
2*(i - 4)*(3*i + 2)/23
Factor 1/3*q**2 + 62/3*q + 40.
(q + 2)*(q + 60)/3
Factor -16/11*i**4 - 94/11*i - 24/11 - 84/11*i**3 - 136/11*i**2 + 2/11*i**5.
2*(i - 12)*(i + 1)**4/11
Factor -429 - 94*d**3 + 1140*d - 1584*d**2 - 59 + 2*d**4 + 448*d - 42 + 618*d**3.
2*(d - 1)**3*(d + 265)
Let 3/4*o**5 + 201*o**2 + 3033/2*o**3 - 17685/4*o - 135/2*o**4 - 6075/2 = 0. Calculate o.
-1, 2, 45
Let d(m) be the third derivative of -m**5/420 + 109*m**4/168 + 55*m**3/21 - 997*m**2. Factor d(v).
-(v - 110)*(v + 1)/7
Let a(f) = -10*f**2 - 4295*f + 4275. Let g(n) = -5*n**2 - 2148*n + 2141. Let h(d) = -2*a(d) + 5*g(d). Solve h(x) = 0.
-431, 1
Let a be (3 + 0)/(-8 + 171/18). Let s = -1/447 - -1348/3129. Factor -1/7*f**3 + 1/7 + 3/7*f**a - s*f.
-(f - 1)**3/7
Let h(k) be the second derivative of -k**5/5 - 12*k**4 - 190*k**3 - 1300*k**2 - 2724*k. Factor h(d).
-4*(d + 5)**2*(d + 26)
Let h(f) be the second derivative of f**6/15 + 37*f**5/10 + 31*f**4/6 - 59*f**3 + 108*f**2 - 214*f. Determine z so that h(z) = 0.
-36, -3, 1
Determine l so that -223 + 272*l**2 + 1138 + 758*l**2 + 5*l**3 - 105*l**2 + 1835*l = 0.
-183, -1
Let g(o) = o**3 - 2. Let z be g(-2). Let c = 12 + z. Factor -12 + 2*r**2 + 2*r**c - 19*r - 7*r**2 + 4*r.
-3*(r + 1)*(r + 4)
Let i = -10020 - -10023. Let x(u) be the second derivative of 1/2*u**2 - 1/6*u**4 - 1/6*u**i + 0 - 18*u. Determine y, given that x(y) = 0.
-1, 1/2
Let x = 895 - 1096. Let q = 201 + x. Factor 0*p + 0*p**2 + 9/5*p**4 - 3/5*p**5 + q + 0*p**3.
-3*p**4*(p - 3)/5
Let v(n) be the second derivative of -n**5/40 - 199*n**4/24 - 33*n**3/2 + 23*n + 24. Factor v(s).
-s*(s + 1)*(s + 198)/2
Let z(n) be the secon