vative of -1/26*g**y - 4/39*g**3 + 1/130*g**5 + 0 + 0*g**2 - 15*g. Factor z(l).
2*l*(l - 4)*(l + 1)/13
Let q be (-250184)/(-75075) - ((-32)/60)/(-4). Let r = q + 2/2275. Factor 2/5*p**5 + 0*p + 0 + 2*p**4 + 8/5*p**2 + r*p**3.
2*p**2*(p + 1)*(p + 2)**2/5
Suppose -2 = n + 4*k, -5*n + 3*k + 11 = 2*k. Let z be 0/10*(15 + (-236)/16). Factor 0*q + z + 1/2*q**3 + 3/2*q**4 + 0*q**n.
q**3*(3*q + 1)/2
Let f = -3726 - -3726. Let x(r) be the second derivative of 0 + 0*r**2 - 1/10*r**5 - 15*r - 4/75*r**6 + f*r**3 - 1/15*r**4 - 1/105*r**7. Solve x(v) = 0.
-2, -1, 0
Let d(v) be the first derivative of 0*v - 69 + 0*v**2 + 21/20*v**5 + 5/4*v**3 + 1/8*v**6 + 33/16*v**4. Factor d(p).
3*p**2*(p + 1)**2*(p + 5)/4
Let g = -54171/55 + 985. Let v(u) be the first derivative of -g*u**5 - 1/66*u**6 + 2/33*u**3 + 5/22*u**2 + 23 - 1/11*u**4 + 2/11*u. Factor v(n).
-(n - 1)*(n + 1)**3*(n + 2)/11
Let y be (-20)/2*2/(-6). Suppose 2237 - 751 - 825 = -127*q + 915. Factor 1/3*k**q - y + k.
(k - 2)*(k + 5)/3
Let l(u) = -u**3 - 11*u**2 + 44*u + 561. Let w be l(-10). Let h(v) be the second derivative of 4/7*v**2 + 1/42*v**4 + 0 + 5/21*v**3 + w*v. Factor h(g).
2*(g + 1)*(g + 4)/7
Let z(t) be the second derivative of 1/80*t**5 + 1/3*t**3 + 5/48*t**4 + 9*t + 1/2*t**2 + 0. Suppose z(n) = 0. Calculate n.
-2, -1
Let c(y) be the third derivative of 0*y**3 + 1/24*y**6 - 5/24*y**4 + 0 + 1/12*y**5 - 1/42*y**7 + 10*y**2 + 8*y. Factor c(z).
-5*z*(z - 1)**2*(z + 1)
Factor 0 + 15/4*z + 1/4*z**2.
z*(z + 15)/4
Let t(h) = 37*h - 1739. Let c be t(47). Let p(r) be the second derivative of 14*r - 1/6*r**6 + c*r**2 + 0 - 25/12*r**4 - r**5 - 5/3*r**3. Factor p(b).
-5*b*(b + 1)**2*(b + 2)
Let r be 6/1 + (2 - 3). Let x = 1262 - 1259. Find w, given that -8/9*w**r - 4/9*w**x - 14/9*w**4 + 0*w + 2/9*w**2 + 0 = 0.
-1, 0, 1/4
Let c(f) = -6*f**3 - 96*f**2 - 99*f - 131. Let y be c(-15). Solve -10/17*v**y + 4/17*v**3 + 20/17*v**2 - 2/17*v**5 - 2/17*v - 10/17 = 0.
-5, -1, 1
Factor -103/3*t + 205/6 + 1/6*t**2.
(t - 205)*(t - 1)/6
Let f be -7 + (-296)/(-40) + (-288)/(-180). Let 0 - 1/3*y**f - 2/3*y = 0. What is y?
-2, 0
Let -6/11*y + 8/11 - 10/11*y**2 + 6/11*y**3 + 2/11*y**4 = 0. What is y?
-4, -1, 1
Suppose 328 - 76 = -63*w. Let u(t) = 9*t**2 + 38*t + 11. Let g be u(w). Factor 0 + 0*k**2 - 4/13*k**g + 6/13*k**4 + 0*k + 10/13*k**5.
2*k**3*(k + 1)*(5*k - 2)/13
Let s(m) be the third derivative of m**6/24 - m**5/6 - 5*m**4/8 + 3*m**2 + m + 1025. Let s(h) = 0. Calculate h.
-1, 0, 3
What is t in 229*t**3 + 1690*t - 55*t**2 + 496 - 18*t**4 + 173*t**3 - 1396 + 340*t - 1459*t**2 = 0?
1, 5/3, 18
Factor -13698/5*i - 15636267/5 - 3/5*i**2.
-3*(i + 2283)**2/5
Let g = 251 + -7. Factor -g*l**2 - 16 + 66*l**3 - l**3 + 112*l - 36*l**4 + 103*l**3.
-4*(l - 2)**2*(3*l - 1)**2
Let s be -1 - -1 - -31 - (-3 - -4). Determine i, given that -2*i - 2*i**3 + 72 - 16*i**2 - 72 - s*i = 0.
-4, 0
Let z(m) be the third derivative of m**5/120 - 71*m**4/48 + 55*m**3/2 + 3112*m**2. Factor z(o).
(o - 66)*(o - 5)/2
Factor -165/2 - 1/4*i**2 - 167/4*i.
-(i + 2)*(i + 165)/4
Suppose -w = -2*u - 7 - 9, -23 = -3*w + u. Suppose -4*k + w = -2*k - 2*a, 0 = 4*k - 2*a - 10. Suppose d**k + 3*d**2 - 3*d**2 - d**3 + d - d**4 = 0. Calculate d.
-1, 0, 1
Let j(z) be the third derivative of -z**7/280 - 27*z**6/40 + 33*z**5/8 - 83*z**4/8 + 111*z**3/8 - 2*z**2 - 1711*z. Solve j(a) = 0.
-111, 1
Let s = -465223 + 465227. Factor 6*k - 3/7*k**s + 36/7*k**3 + 0 + 81/7*k**2.
-3*k*(k - 14)*(k + 1)**2/7
Let n(a) be the first derivative of a**6/3 + 10*a**5 + 50*a**4 + 5861. Factor n(u).
2*u**3*(u + 5)*(u + 20)
Let d = 148 + -149. Let l(g) = -g**4 + g**3 - g - 1. Let v(j) = -17*j**4 + 105*j**3 - 193*j**2 + 77*j - 10. Let c(f) = d*l(f) + v(f). Factor c(i).
-(i - 3)**2*(4*i - 1)**2
Factor -38*k**2 + 254*k**4 - k**5 - 7 + 20*k + 22*k**3 - 257*k**4 + 7*k.
-(k - 1)**4*(k + 7)
Let z(c) be the first derivative of 9*c**4/4 + 1369*c**3 + 2732*c**2 + 1820*c - 3824. Suppose z(k) = 0. Calculate k.
-455, -2/3
Let a be ((1 - 1) + -2)*((-231)/(-22) + -12). Let t(i) be the first derivative of -6*i + 2*i**a - 16 - 3/4*i**4 + 3/2*i**2. Factor t(k).
-3*(k - 2)*(k - 1)*(k + 1)
Let w(n) = -n**2 - 11*n + 44. Let a be w(-14). Factor -2*s**4 - 23 + a*s**5 + 8 + 8*s**4 + 15.
2*s**4*(s + 3)
Let v(x) = -2*x + 1. Suppose -201*t = -200*t - 1. Let l(w) = -2*w**4 - 16*w**3 - 46*w**2 - 64*w - 20. Let m(y) = t*l(y) - 4*v(y). Factor m(b).
-2*(b + 1)*(b + 2)**2*(b + 3)
Let o = 17874 + -339590/19. Determine v so that 0 + 2/19*v**2 + o*v = 0.
-8, 0
Let r(f) be the third derivative of 0*f**3 - 3*f**2 + 0*f - 1/30*f**6 + 2 - 3/2*f**4 - 2/3*f**5. Determine t so that r(t) = 0.
-9, -1, 0
Let o(m) be the third derivative of 5*m**8/48 + 79*m**7/42 + 281*m**6/24 + 389*m**5/12 + 45*m**4 + 30*m**3 + 2153*m**2. Solve o(y) = 0 for y.
-6, -3, -1, -2/7
Let f(w) be the third derivative of 126*w**2 + 0*w**3 + 1/30*w**5 + 0 - 1/105*w**7 + 1/15*w**6 + 0*w - 1/3*w**4. Factor f(r).
-2*r*(r - 4)*(r - 1)*(r + 1)
Let o = 369 - 429. Let h be (-6)/(10/(o/14)). Factor -48/7*k + h + 32/7*k**2.
2*(4*k - 3)**2/7
Suppose 32*c + 50*c = 328. Let i(p) be the third derivative of 8*p**2 - 1/120*p**6 + 0*p**3 - 1/15*p**5 + 0 - 1/8*p**c + 0*p. Find y such that i(y) = 0.
-3, -1, 0
Let t be ((-448)/49)/(-8) + (-776)/679. Determine c so that t - 1/2*c**5 - 3/2*c**4 + 3/2*c**2 + 5/2*c**3 - 2*c = 0.
-4, -1, 0, 1
Factor 227*h - 247*h**2 + h**5 + 12*h**4 - 39*h**2 + 22*h**4 + 130*h - 132 + 24*h**3 + 2*h.
(h - 1)**3*(h + 4)*(h + 33)
Let l(n) = -11*n**2 + 245*n - 234. Let p(j) = -45*j - 6*j**2 - 117 + 95*j + 73*j. Let c(d) = -3*l(d) + 5*p(d). Suppose c(s) = 0. What is s?
1, 39
Suppose 9*j - 126 + 207 = 0. Let n be j/(-3) + (6 - 5). Determine p, given that -4/3*p**5 - 4/3*p**2 - 4*p**4 + 0*p - n*p**3 + 0 = 0.
-1, 0
Let o(k) = -k**3 + 17*k**2 + 19*k - 14. Suppose 58 = -5*w + 148. Let n be o(w). Factor 2*b**3 - 2*b**3 - 10*b**n - 15*b**5.
-5*b**4*(3*b + 2)
Let n = -1543 - -1556. Let v(x) be the third derivative of -1/15*x**5 + 0*x**3 + 0*x - n*x**2 + 1/240*x**6 - 1/12*x**4 + 0 + 1/210*x**7. Factor v(p).
p*(p - 2)*(p + 2)*(2*p + 1)/2
Let q(u) be the first derivative of 64 + 2*u + 22/21*u**2 + 2/63*u**3. Factor q(v).
2*(v + 1)*(v + 21)/21
Suppose -22*s = 15*s - 962. Let -14*x**2 - 45*x**3 - 23*x**4 + 24*x**2 + 45*x - 16*x**4 + s*x**2 + 6 - 3*x**2 = 0. Calculate x.
-1, -2/13, 1
Let w = 27 - 24. Let d be ((2 - w) + -1)*-2. Solve -d*c**4 - 32*c - 18 + 14*c**2 + 30 + 10*c**2 = 0 for c.
-3, 1
Factor 1188/7 + 2/7*y**2 - 30*y.
2*(y - 99)*(y - 6)/7
Let m be (-302)/(-1272) + 610/48495. Determine g so that -3*g + m*g**2 - 13/4 = 0.
-1, 13
Let i(u) be the third derivative of 5/54*u**3 + 0*u - 1/54*u**4 - 1/540*u**5 - 21*u**2 - 4. Factor i(y).
-(y - 1)*(y + 5)/9
Let r(t) be the second derivative of -14 - 1/210*t**5 - 19/3*t**3 + 13/42*t**4 - t + 361/21*t**2. Find n, given that r(n) = 0.
1, 19
Suppose 0 = 244*k + 75 - 4467. Let a(y) be the first derivative of -y**2 + k - 1/3*y**6 - 2*y + y**4 - 2/5*y**5 + 4/3*y**3. Suppose a(s) = 0. What is s?
-1, 1
Let p be 30814/48174 - 2/(-74) - (2 + (-1 - 1)). Factor -2*q**2 - 8/3*q + 0 + p*q**3.
2*q*(q - 4)*(q + 1)/3
Let y(h) = 28*h + 1064. Let x be y(-38). Let n(l) be the second derivative of 0*l**2 - 4/115*l**5 + 14*l + 1/69*l**6 + 0 - 2/69*l**4 + x*l**3. Factor n(t).
2*t**2*(t - 2)*(5*t + 2)/23
Let j(a) = a**3 + 6*a**2 - a + 1. Let q(h) = 12*h**3 - 57*h**2 + 84*h - 18. Let t(u) = 3*j(u) - q(u). Solve t(w) = 0.
1/3, 1, 7
Let y(o) = -3*o**3 + 76*o**2 + 5. Let r be y(0). Suppose -1/3*q**2 + r*q + 0 = 0. What is q?
0, 15
Let z = 34/3925 - -3789/15700. What is v in 0 + 2*v + z*v**2 = 0?
-8, 0
Let d = 71/302 - -1919/2114. Suppose 2/7*m**5 + 2/7*m + 8/7*m**2 + 0 + d*m**4 + 12/7*m**3 = 0. Calculate m.
-1, 0
Factor -3420/7 + 288/7*v - 4/7*v**2.
-4*(v - 57)*(v - 15)/7
Let i be 0*(1 - 2)*34/170. Let j(n) be the first derivative of 2/3*n**3 - 2 + 1/2*n**6 + i*n + 0*n**2 - 3/4*n**4 - 2/5*n**5. What is c in j(c) = 0?
-1, 0, 2/3, 1
Let w(l) be the third derivative of 0*l**4 + 1/240*l**6 + 0*l**3 + 17/120*l**5 + 0*l + 0 + 85*l**2. Factor w(p).
p**2*(p + 17)/2
Let x = -290 - -295. Let h(o) = 4*o**2 + 36*o + 77. Let v(b) = -4*b**2 - 36*b - 76. Let r(f) = x*v(f) + 4*h(f). Factor r(u).
-4*(u + 3)*(u + 6)
Let l be -5 - (-266)/10 - 4/(-10). Suppose -5*h - 