+ 10/3*x**3 + 0*x - 1/2*x**4 - 3*x**2 - 2/5*x**5. Factor r(y).
-2*y*(y - 1)**2*(y + 3)
Let q(g) = g**5 + 422*g**4 + 132*g**3 - 11*g**2 - 22*g + 11. Let i(v) = -106*v**4 - 33*v**3 + 3*v**2 + 6*v - 3. Let j(s) = -22*i(s) - 6*q(s). Factor j(t).
-2*t**3*(t + 33)*(3*t + 1)
Let s(b) be the first derivative of b**6/21 + 16*b**5/35 + 3*b**4/7 - 16*b**3/21 - b**2 - 2065. What is o in s(o) = 0?
-7, -1, 0, 1
Suppose 15*t - 17*t + q = -28, -t = -2*q - 20. Suppose 0*x - 4*x - 3*c = -14, 2*x = -4*c + t. Suppose l - 2/3*l**x - 1/3*l**3 + 0 = 0. What is l?
-3, 0, 1
Suppose 0 = 3*g - 5*v - 0*v - 137, 0 = -3*g + 4*v + 133. Find r, given that -g*r**2 + 22*r**3 + 36 - 138*r - 9*r**3 + 17*r**3 + 7*r**2 + 8*r**4 = 0.
-3, 1/4, 2
Suppose 27 - 33 = -3*o. Factor 2 - 27*c - 2 - c**o + 30*c.
-c*(c - 3)
Let b = -1365 + 2655/2. Let q = b - -39. Factor 3/4*r + q - 3/4*r**2.
-3*(r - 2)*(r + 1)/4
Let u(f) be the second derivative of 0*f**2 + 50*f + 10/27*f**4 + 1/45*f**5 + 0*f**3 + 0. Let u(i) = 0. What is i?
-10, 0
Factor -14 + 460/11*l + 6/11*l**2.
2*(l + 77)*(3*l - 1)/11
Let h(s) be the second derivative of -2*s**3 + 1 + 3*s - 63/20*s**5 - 15/4*s**4 + 0*s**2 - 3/14*s**7 - 13/10*s**6. Factor h(v).
-3*v*(v + 1)**3*(3*v + 4)
Let o be ((-603)/(-72) - 8) + 19/(-8). Let p(f) = 5*f**2 + 4*f - 9. Let q be p(o). Factor -3*g**q - 3/5*g - 24/5*g**2 + 6/5.
-3*(g + 1)**2*(5*g - 2)/5
Let f be 388/195 + 12504/(-13546). Suppose -26/15*h**4 - 4/15*h**5 + 0*h + 0 - 44/15*h**3 - f*h**2 = 0. What is h?
-4, -2, -1/2, 0
Let c(r) be the second derivative of r**7/168 + r**6/60 - r**5/10 + 172*r. Factor c(b).
b**3*(b - 2)*(b + 4)/4
Let y(w) be the third derivative of 1/12*w**4 + 0*w**3 + 0*w - 13/60*w**6 + 33*w**2 + 1/6*w**5 + 0 + 1/15*w**7. Determine l so that y(l) = 0.
-1/7, 0, 1
Factor -13655 - 701*j + 2855 - 7313*j - 266*j - 1587*j**2.
-3*(23*j + 60)**2
Let i(x) be the second derivative of -2*x**5/95 + 11*x**4/6 - 452*x**3/57 + 100*x**2/19 - 2443*x. Suppose i(q) = 0. Calculate q.
1/4, 2, 50
Let a(k) = 33*k - 9. Let d be a(-18). Let c = 606 + d. Factor -3/7*n**4 + 0*n + 0 + 0*n**c + 3/7*n**2.
-3*n**2*(n - 1)*(n + 1)/7
Let a be (-3)/8 + (-27591)/(-4328). Factor -a*t - 9 - 3/4*t**2.
-3*(t + 2)*(t + 6)/4
Let u(z) = 112*z**3 - 51*z**2 - 352*z + 401. Let w(a) = -67*a**3 + 25*a**2 + 177*a - 201. Let k(t) = -3*u(t) - 5*w(t). Factor k(p).
-(p - 33)*(p - 1)*(p + 6)
Suppose 31*z - 144 = 19*z. Let k(t) = 2*t**3 - 22*t**2 - 25*t + 12. Let v be k(z). Factor 6/5*b + v - 3/5*b**2.
-3*b*(b - 2)/5
Let m(u) = 6*u - 196. Let r = 364 - 331. Let n be m(r). Factor -54/5*b**n - 12/5*b**3 - 1/5*b**4 - 108/5*b - 81/5.
-(b + 3)**4/5
Let f(t) = -t**2 - 15*t + 30. Let q be f(-5). Suppose -q*y = -75*y. Factor 16/15*z**3 + 2/5*z**4 - 2/15 + y*z + 4/5*z**2.
2*(z + 1)**3*(3*z - 1)/15
Suppose -4 = -24*o + 44. Determine p, given that 49*p**3 - 4*p**5 + 9*p**5 + 35*p**o + 10*p - 4*p**3 + 25*p**4 = 0.
-2, -1, 0
Let y be ((-556)/10703)/((-4)/14). Let -y*z**2 + 28/11 + 26/11*z = 0. What is z?
-1, 14
Let p(o) = -o**3 + 9*o**2 - 2*o - 10. Let s be p(8). Let g = s - 33. Let -h - 3*h**g + 24*h**3 + 5*h - 16*h**4 - 10*h**5 - 16*h**2 + 17*h**5 = 0. What is h?
0, 1
Suppose -15 = -2*z + 5*s, -4*z + 0*s = -2*s - 6. Suppose v = -z*v + 5. Suppose -12*i**4 + 26*i**v - 4*i**3 + 4*i**4 - 30*i**5 + 0*i**3 = 0. Calculate i.
-1, 0
Let d(p) = -3*p**3 + 7*p**2 - 20*p + 6. Let y be d(6). Let g be ((-612)/y)/((0 - -1) + 1). Factor -2/5*o**2 + 1/5*o**3 - g*o + 0.
o*(o - 3)*(o + 1)/5
Let r be (-52 - -32) + -1*1. Let m be (-110)/(-70) - 2/r. Factor 0*p + 0 - 8/3*p**3 - 4/3*p**2 - m*p**4 - 1/3*p**5.
-p**2*(p + 1)*(p + 2)**2/3
Let z(y) be the second derivative of y**7/45 + 19*y**6/225 - 8*y**5/25 - 22*y**4/45 + 16*y**3/45 - 97*y - 8. Let z(f) = 0. What is f?
-4, -1, 0, 2/7, 2
Let o(k) be the first derivative of -2*k**6/3 - 32*k**5/5 - 21*k**4 - 88*k**3/3 - 16*k**2 + 2918. What is m in o(m) = 0?
-4, -2, -1, 0
Factor 51*d**2 - 186*d - 3/2*d**3 + 180.
-3*(d - 30)*(d - 2)**2/2
Let f(q) = 2*q**3 - 246*q**2 + 465*q - 235. Let x(j) = j**3 - 122*j**2 + 232*j - 117. Let l(r) = -3*f(r) + 7*x(r). Suppose l(d) = 0. Calculate d.
1, 114
Let t(k) be the first derivative of -k**5/4 + 57*k**4/8 - 11*k**3 - 3*k**2/2 - 10*k - 90. Let s(q) be the second derivative of t(q). Factor s(m).
-3*(m - 11)*(5*m - 2)
Let q(t) = -2*t - 20. Let l be q(-11). What is b in -49*b + 66*b**l - 2*b**2 + 5*b**3 + b**2 + 44*b - 65 = 0?
-13, -1, 1
Let c = -2013321/5 + 402665. Factor c*w**3 + 0 - 6/5*w + 1/5*w**2 + 1/5*w**4.
w*(w - 1)*(w + 2)*(w + 3)/5
Let d(w) = -24*w + 387. Let f be d(6). Let q = f + -239. Factor 0*x + 0 + 3/4*x**5 - 3/2*x**3 + 0*x**2 + 3/4*x**q.
3*x**3*(x - 1)*(x + 2)/4
Let x(u) be the second derivative of u**7/140 + u**6/15 + u**5/16 - 25*u**4/16 - 16*u**3/3 - 10*u - 2. Let q(a) be the second derivative of x(a). Factor q(o).
3*(o - 1)*(2*o + 5)**2/2
Suppose 13*u = -4*f + 18*u + 125, -5*f = -4*u - 163. Let j be 110/f + 5/(-35). Let -18/5*i + 0*i**j - 8/5*i**4 + 22/5*i**2 + 4/5 = 0. Calculate i.
-2, 1/2, 1
Suppose -3*m - 4*c + 109 = 0, 3*c + 21 = m + 15. Let t(r) be the first derivative of 0*r + m + 4/21*r**3 + 6/7*r**2. Find k, given that t(k) = 0.
-3, 0
Factor -352/17 - 2/17*h**2 - 54/17*h.
-2*(h + 11)*(h + 16)/17
Suppose 1/9*a**5 - 307/9*a**4 + 23408/9*a**3 + 23716/9*a**2 + 0 + 0*a = 0. What is a?
-1, 0, 154
Let w(l) = -8*l**2 + 63*l - 4. Let b be w(7). Factor -20*d**2 - 20*d + 55*d**3 + 37*d**4 - 2 - 7*d**4 - b*d**5 + 2.
-5*d*(d - 1)**2*(3*d + 2)**2
Let p(h) = -4*h**2 + 104*h + 46. Let l(z) = -5*z**2 + z + 1. Let i(y) = 4*l(y) + 2*p(y). Suppose i(w) = 0. Calculate w.
-3/7, 8
Suppose 101*c - 331 + 85 = 60*c. Determine a, given that -2/3*a**3 + c*a - 10/3 - 2*a**2 = 0.
-5, 1
Let s = 305 + -313. Let q(p) = -2*p**3 + 26*p**2 - 6*p - 26. Let d(y) = y**3 - 9*y**2 + 2*y + 9. Let x(m) = s*d(m) - 3*q(m). Solve x(u) = 0.
-3, -1, 1
Let q = 356927/7 + -50985. Factor -34/7 - q*a + 2/7*a**2.
2*(a - 17)*(a + 1)/7
Let i = -3429 + 3435. Let j(h) be the third derivative of 0*h**3 - 1/210*h**i + 0*h**4 + 0*h + 0 + 7*h**2 - 2/105*h**5. Factor j(w).
-4*w**2*(w + 2)/7
Let l(m) be the second derivative of m**4/120 - 451*m**3/60 - 453*m**2/10 + 1411*m - 2. Factor l(f).
(f - 453)*(f + 2)/10
Let g = -625801/4 - -156451. Factor g + 9/8*b - 15/8*b**2.
-3*(b - 1)*(5*b + 2)/8
Let q be 51/9 - 6 - (-48)/270*3. Let a(u) be the third derivative of 0*u - 1/50*u**5 + 1/200*u**6 + q*u**3 - 1/40*u**4 + 0 + 32*u**2. Factor a(z).
3*(z - 2)*(z - 1)*(z + 1)/5
Let z = -76 - 12. Let q = z - -90. Factor 16 + 4 - 14*b + 5*b**q - 6*b.
5*(b - 2)**2
Factor -297*s - 7406*s**2 + 12*s + 7394*s**2 + 3*s**3 + 594.
3*(s - 11)*(s - 2)*(s + 9)
Let p be (35/(-343))/(345/(-966)). Factor -54/7 + p*m**2 - 52/7*m.
2*(m - 27)*(m + 1)/7
Suppose 7*j - 11*j + 3392 = 0. Factor j*z**3 - z**2 - 849*z**3 + 3*z + 3*z.
-z*(z - 2)*(z + 3)
Let n(y) be the second derivative of -y**6/180 + 11*y**5/60 - 3*y**4/2 - 49*y**3/3 - 95*y. Let m(r) be the second derivative of n(r). Factor m(o).
-2*(o - 9)*(o - 2)
Solve -9*k**2 + 1/3*k**3 + 56*k - 304/3 = 0.
4, 19
Suppose 0 = 37*m - 46 - 102. Let a(z) be the first derivative of -1/10*z**2 - 2/5*z + 11 + 1/5*z**3 + 1/20*z**m - 1/25*z**5. Factor a(r).
-(r - 2)*(r - 1)*(r + 1)**2/5
Let w be ((-2)/(-3))/(5*20/25650). Suppose -158*a = -w*a. Let 4/3*m**3 + a*m + 0 - 2/3*m**2 - 2/3*m**4 = 0. What is m?
0, 1
Let m(r) be the second derivative of r**6/6 - r**5/4 - 35*r**4/12 + 5*r**3/6 + 15*r**2 - 30*r - 1. Suppose m(z) = 0. Calculate z.
-2, -1, 1, 3
Let t(i) = 23*i + 230. Let p = -375 - -365. Let o be t(p). Factor -3/4*h**5 - 15/4*h**4 - 6*h**3 + 0 - 3*h**2 + o*h.
-3*h**2*(h + 1)*(h + 2)**2/4
Determine n, given that -675/2 - 4509/8*n + 3/8*n**4 + 897/8*n**3 - 915/8*n**2 = 0.
-300, -1, 3
Let z(q) be the second derivative of 2*q**6/5 - 218*q**5/5 + 189*q**4 - 328*q**3 + 280*q**2 - 197*q. Suppose z(g) = 0. Calculate g.
2/3, 1, 70
Solve -102/5*d**2 - 864*d - 2/15*d**3 - 31104/5 = 0 for d.
-72, -9
Let q be (128/(-28) - 44/(-11))*-3. Let m(k) be the first derivative of -1/7*k**3 + 5 - q*k - 6/7*k**2. Determine u, given that m(u) = 0.
-2
Factor 18/5*s**2 + 54 - 294/5*s + 6/5*s**3.
6*(s - 5)*(s - 1)*(s + 9)/5
Let j = 40991 + -40988. Factor -1/4*c**4 - 9/4*c**2 - 3/2*c**j - c + 0.
-c*(c + 1)**2*(c + 4)/4
Let u be (-192)/(-9