0/(-3). Let b(d) be the first derivative of -2/3*d**6 - 2 + 8/5*d**5 + 0*d**y + 0*d + 2*d**2 - 8/3*d**3. Factor b(x).
-4*x*(x - 1)**3*(x + 1)
Suppose -4*u = 2*z - 18, 0 = 2*z - 2. Let -3*v - 5*v**5 + 1205*v**2 - 26*v - 20 - 1195*v**2 + 10*v**u + 40*v**3 - 6*v = 0. Calculate v.
-1, 1, 4
Suppose 0 = c - 3*d - 15, -3*c + 3*d + 25 = -2*d. Suppose 31*o - 29*o = c. Determine t, given that o + 0 + 83*t**2 - 2*t - 2*t**3 - 87*t**2 = 0.
-1, 0
Let v(n) be the third derivative of n**5/12 - 25*n**4/6 - 130*n**3 + 3355*n**2. Determine l so that v(l) = 0.
-6, 26
Suppose 225*k = 251*k - 754. Suppose -k*a + 12*a = -18*a. Factor 6*i - 3/2*i**3 + 0 + a*i**2.
-3*i*(i - 2)*(i + 2)/2
Let z(x) be the third derivative of -14/225*x**5 + 0*x - 1/1575*x**7 + 11/900*x**6 + 0 + 0*x**4 - 279*x**2 + 0*x**3. Factor z(v).
-2*v**2*(v - 7)*(v - 4)/15
Let d = -36244 - -36246. Determine h so that -36/11 - 10/11*h**3 + 56/11*h**d - 6*h = 0.
-2/5, 3
Let w = -12939 - -12941. Let b(l) be the second derivative of 0*l**3 + 0 + 2*l - 1/130*l**5 + 0*l**4 + 0*l**w. Determine f, given that b(f) = 0.
0
Let k = -6376 + 6380. Let l(b) be the third derivative of 0*b - 1/195*b**5 - 4*b**2 + 0*b**3 + 0 + 1/780*b**6 + 1/156*b**k. Suppose l(u) = 0. What is u?
0, 1
Suppose -r + 18 = -25*f + 22*f, 4*f + 16 = 0. Let g be (r/(-15))/(16/(-312)). Suppose g*n**3 + 0 - 12/5*n**2 - 3*n**4 - 12/5*n = 0. Calculate n.
-2/5, 0, 1, 2
Let j be (-44)/3*(-3 + (-9)/(-6)). Find o, given that -j*o**3 - 20*o**2 - 207*o**4 + 0*o**3 + 205*o**4 = 0.
-10, -1, 0
Let z(y) = -y**3 + 3*y**2 - 2*y + 1. Let m be z(2). Let a be 4 + -3 + 1 + m. Find p such that -a*p - 256 - 4*p**2 - 68 - 69*p = 0.
-9
Let u(t) be the second derivative of t**4/78 + 45*t**3/13 + 266*t**2/13 + 1234*t. What is i in u(i) = 0?
-133, -2
Let x(a) = 53*a - 7. Let h be x(0). Let s be h/14 + 2 + 4/8. What is z in 0 - 6/5*z - 1/5*z**s = 0?
-6, 0
Let i(k) = -k**3 - 7*k**2 + 27*k + 135. Let a be i(-5). Let q be ((-12)/a)/((-230)/(-575)). Factor 0*z**2 - q*z**4 + 0 + 0*z + 2/5*z**3.
-z**3*(3*z - 2)/5
Let h be (34/(-833))/(58/(-2842)). Factor 14/15*n**3 + 12/5*n**h + 8/3*n + 16/15 + 2/15*n**4.
2*(n + 1)*(n + 2)**3/15
Let b(r) be the third derivative of -r**7/210 - r**6/20 - r**5/15 + r**4/4 + 5*r**3/6 + 33*r**2 + 9. Factor b(z).
-(z - 1)*(z + 1)**2*(z + 5)
Factor 1/4*o**3 + 17/4*o**2 - 15*o + 0.
o*(o - 3)*(o + 20)/4
Let l(j) = j**3 - 8*j**2 + 16*j - 21. Let z be l(6). Factor -32*w**2 + 4 - 7*w**5 - 8*w**z - 132*w + 23*w**5 + 124*w + 28*w**4.
4*(w - 1)*(w + 1)**3*(4*w - 1)
Factor -10/3 + 95/3*g - 85/3*g**2.
-5*(g - 1)*(17*g - 2)/3
Let v(m) = -m**5 + m**4 + 2*m**3 + m**2 + m - 2. Let u(n) = 2*n**5 + 50*n**4 + 99*n**3 + 68*n**2 + 17*n - 6. Let k(a) = -u(a) + 3*v(a). Solve k(d) = 0.
-7, -1, -2/5, 0
Let q(w) = -1051*w**2 + 1055*w**2 - 4*w + 28 + 8*w + 20*w. Let t(c) = -c**3 - 22*c**2 - 119*c - 142. Let k(m) = 11*q(m) + 2*t(m). Factor k(a).
-2*(a - 4)*(a + 1)*(a + 3)
Let h(m) = -3*m**3 - 254*m**2 + 37*m + 2366. Let i(o) = 3*o**3 + 252*o**2 - 39*o - 2364. Let j(b) = 6*h(b) + 5*i(b). Factor j(p).
-3*(p - 3)*(p + 3)*(p + 88)
Factor -11/7*z**3 - 13/7*z + 1/7*z**4 + 0 - 25/7*z**2.
z*(z - 13)*(z + 1)**2/7
Let c(v) be the third derivative of -v**5/90 + 572*v**4/9 - 1308736*v**3/9 + 9*v**2 - 52*v - 4. Find k, given that c(k) = 0.
1144
Let u be 2/(-12)*-14 + -2. Let k(m) = 3*m**2 - 1029*m + 9992. Let y be k(10). Let 0*i + u*i**y - 1/3 = 0. What is i?
-1, 1
Let j be (-5 - (0 + -2))/((-15)/20). Suppose -3*q = -j*g - 2 - 7, 3 = q + 5*g. Determine c, given that 4/7 - 4/7*c**2 - 2/7*c + 2/7*c**q = 0.
-1, 1, 2
Let f = 48421/6 + -8126. Let h = f + 57. Determine b, given that -1/3*b**3 + 2/3 - 2/3*b - h*b**2 = 0.
-2, 1/2
Suppose 3*w - 6*g = -4*g - 2217, 4*w = -2*g - 2942. Let b = w + 740. Factor -1/2*q - 1 - 5/2*q**b + 4*q**2.
-(q - 1)**2*(5*q + 2)/2
Let f(g) = -55*g**2 - 87*g - 1512. Let m(o) be the third derivative of o**5/10 + o**4/24 - o**3/6 + 2*o**2 + 47. Let v(b) = 2*f(b) + 18*m(b). Factor v(d).
-2*(d + 39)**2
Let g(t) be the third derivative of -t**6/120 + 49*t**5/60 - 47*t**4/12 + 5*t**2 + 42*t. Factor g(o).
-o*(o - 47)*(o - 2)
Let n(f) = -36*f**2 - 129*f - 375. Let t(x) = 19*x**2 + 65*x + 186. Let g(r) = 8*n(r) + 15*t(r). Solve g(b) = 0 for b.
-14, -5
Let p(s) be the second derivative of 1/35*s**5 + 1/7*s**4 + s - 23 + 0*s**2 + 0*s**3. Factor p(t).
4*t**2*(t + 3)/7
Let c = 172 - 136. Factor 13*k - 27*k + k**2 + c + 2*k.
(k - 6)**2
Let x = -20409/14 + 1458. Let n = 9/14 - x. What is w in 3/7*w - 6/7 + n*w**2 = 0?
-2, 1
Let o(v) be the first derivative of v**6/360 - v**5/45 + v**4/24 - 143*v**2/2 + 110. Let x(t) be the second derivative of o(t). Factor x(c).
c*(c - 3)*(c - 1)/3
Let y = 226371227/99 + -2286559. Let a = y - 160/9. Suppose -40/11*w - 6/11*w**2 + a = 0. What is w?
-7, 1/3
Let m(w) be the third derivative of w**7/420 + 133*w**6/360 + 35*w**5/72 - 11*w**4/18 - 1523*w**2. Factor m(s).
s*(s + 1)*(s + 88)*(3*s - 1)/6
Let t be ((-87)/42 + 2)*-8. Let p = -123726 + 866088/7. What is o in t + 2/7*o**2 - p*o = 0?
1, 2
Let z(j) be the first derivative of 7*j**4/2 - 88*j**3/9 - 53*j**2/3 - 8*j + 1519. Solve z(q) = 0.
-4/7, -1/3, 3
Suppose 3*g + 3*n = 3102, -566 + 1599 = g + 2*n. Let d be (-2)/(-12)*g/138. Suppose -5/2 - d*j**2 + 15/4*j = 0. What is j?
1, 2
Let a = 10489 + -10483. Let c(z) be the third derivative of 5/216*z**4 + 1/360*z**a - 11/540*z**5 + 1/18*z**3 + 12*z**2 + 0 + 0*z. Find i such that c(i) = 0.
-1/3, 1, 3
Suppose -8*f - 18 = 6. Let j be ((f - -5) + -3)*0. Factor 8*q**5 + j*q**2 + 0*q**2 - 4*q**5 + 4*q**3 - 8*q**4.
4*q**3*(q - 1)**2
Let o = -571099 - -571101. Suppose 0 - 2/7*t**4 - 2*t**3 - 12/7*t**o + 0*t = 0. What is t?
-6, -1, 0
Let m(v) be the third derivative of -v**5/20 + 313*v**4/4 + 2*v**2 - 359. Factor m(n).
-3*n*(n - 626)
Suppose -24/5*s + 12/5 - 3/5*s**3 + 3*s**2 = 0. Calculate s.
1, 2
Let x(b) = -b**3 - 9*b**2 - 8*b + 5. Let m be x(-8). Suppose -11 = -j - 7. Let 10/3 - 5/3*l**m + 20/3*l**3 + 0*l**j - 5*l - 10/3*l**2 = 0. Calculate l.
-2, -1, 1
Let s(k) = k**2 + 175*k + 3265. Let v be s(-21). Let w(q) be the second derivative of v*q + 1/12*q**4 + 0 + 25/2*q**2 + 5/3*q**3. Suppose w(x) = 0. What is x?
-5
Let n(r) be the first derivative of -1/6*r**4 + 0*r - 122 + 0*r**2 - 4/27*r**3. Factor n(f).
-2*f**2*(3*f + 2)/9
Suppose 3*k + 7 = 5*j, -373*k = j - 372*k - 3. Factor -2*s**j + 0 - 14/3*s**3 + 0*s - 10/3*s**4 - 2/3*s**5.
-2*s**2*(s + 1)**2*(s + 3)/3
Factor 1154 - 419*b + 1526 + 252*b**2 + 218*b**3 + 2620 - 222*b**3 - 1801*b.
-4*(b - 53)*(b - 5)**2
Let f(b) = 8*b**3 - 35*b**2 - 122*b + 212. Let j(u) = -3*u**3 + 20*u**2 + 61*u - 105. Let i(l) = 6*f(l) + 14*j(l). Factor i(w).
2*(w - 1)*(w + 9)*(3*w + 11)
Let h be 6 + ((-180)/33 + 0 - (155 - 155)). Find n, given that h*n**2 - 14/11 + 40/11*n = 0.
-7, 1/3
Let s be 80/96*(-6)/15 + (-2125)/(-1020). Factor -1/4*r**2 - 3 + s*r.
-(r - 4)*(r - 3)/4
Let t = -433 - -435. Solve 1473*z**t + 24 - 1472*z**2 - 4*z - 10*z = 0 for z.
2, 12
Find y such that -9*y**2 + 164*y + 114*y + 4*y**2 - 1380 + 107*y - 20*y = 0.
4, 69
Suppose -84 = -16*u + 4*u. Determine t so that -68*t**2 - u*t + 100*t**4 + 8*t**5 - 78*t**3 - 108*t**4 - 9*t = 0.
-2, -1/2, 0, 4
Let o(d) = -d**5 - d**4 - d**2 - 2*d - 2. Let y(r) = 5*r**5 - 5*r**4 - 7*r**3 + 41*r**2 + 64*r + 32. Let b(x) = -6*o(x) - y(x). Factor b(z).
(z - 2)*(z + 1)**3*(z + 10)
Let d be 98/(-2205) - (1 + (-728)/180). Factor -15/2*z**d - 1/4*z**4 - 81*z**2 - 729/2*z - 2187/4.
-(z + 3)*(z + 9)**3/4
Let z be 26/52*2/7. Suppose -213*n + 99*n + 342 = 0. Factor 2/7*l**2 - 2/7*l**4 + 0*l + 0 - z*l**n + 1/7*l**5.
l**2*(l - 2)*(l - 1)*(l + 1)/7
Let k(g) be the second derivative of 2*g**7/21 + 3*g**6/5 - 5*g**5/2 - 5*g**4 + 68*g**3/3 - 24*g**2 - 18*g + 4. Let k(u) = 0. Calculate u.
-6, -2, 1/2, 1, 2
Suppose -929 + 1843*b + 484*b**3 - 18480*b**2 + 1505*b + 777 = 0. Calculate b.
1/11, 38
Let n be -403*(-48)/60*(9 - 4). Let w = -8056/5 + n. Factor -32/5 + 28/5*z + w*z**2.
4*(z - 1)*(z + 8)/5
What is m in -144*m - 425*m**2 + 1279*m**2 + 1620 - 433*m**2 - 425*m**2 = 0?
-45, 9
Factor -67*t + 212*t**2 + 24 + 137 + 127 - 216*t**2 + 11*t.
-4*(t - 4)*(t + 18)
Find k such that -32*k - 75*k**2 + 6*k - 67*k**3 + 58*k**3 - k**3 - 39*k = 0.
-13/2, -1, 0
Let i(d) be the third derivative of -d**7/630 + d**