*2 - 10*a.
2*(a - 20)*(a - 5)/5
Factor 475/3*u - 41/3*u**2 - 361 + 1/3*u**3.
(u - 19)**2*(u - 3)/3
Let x be 18700/(-1980)*12/(-40). Suppose x*v + 1 - 2/3*v**4 + 0*v**3 - 1/6*v**5 + 7/3*v**2 = 0. Calculate v.
-3, -1, 2
Solve -34804367*d**3 - 519*d**2 - 378 + 5*d + 34804442*d**3 - 3*d**4 + 820*d = 0 for d.
1, 9, 14
Let c(z) = -4*z + 5. Let v be c(0). Let j be v/(15/(-12)) + 14. Factor 4*t - t - 4*t**2 - 9*t**2 + j*t**2.
-3*t*(t - 1)
Let u(j) = 2*j**3 + 11*j**2 + 4*j - 4. Let o be u(-5). Let q be o*30*(-23)/(-46). Factor -3/5*c**2 - 6*c - q.
-3*(c + 5)**2/5
Let n(o) be the second derivative of o**4 - 3/20*o**5 + 75*o - 6*o**2 + 1/56*o**7 + 0*o**3 + 0 - 3/40*o**6. Determine v so that n(v) = 0.
-2, -1, 2
Let x = -4982/199 + 15742/597. Let 104/3 + x*j**3 - 4/3*j - 104/3*j**2 = 0. Calculate j.
-1, 1, 26
Let d be 2 - -3 - -3*-6*(-15)/(-90). Factor -16 - 118*t - 147/2*t**3 - 238*t**d.
-(3*t + 8)*(7*t + 2)**2/2
Let x = -57 - -138. Let o be (-3)/2*-6*18/x. Factor b**3 - 8/3 + 11/3*b**2 - o*b.
(b - 1)*(b + 4)*(3*b + 2)/3
Let n be 3/(-21) + 335/(-7). Let a = -25 - n. Factor -13*q - 4*q**2 - a + 7 - 3*q.
-4*(q + 2)**2
Factor -2/11*h**2 - 2175698/11 - 4172/11*h.
-2*(h + 1043)**2/11
Suppose -23 + 325 + 23*l - 2*l**2 - 323*l = 0. What is l?
-151, 1
Let w = 93374/5 + -93371/5. Factor 1/2 - w*u + 1/10*u**2.
(u - 5)*(u - 1)/10
Let d be (-6)/((1 - 2)/6*9). Factor 48*j + 62*j**3 - 78*j**3 - 80*j**2 - d*j**4 + 52*j**3.
-4*j*(j - 6)*(j - 2)*(j - 1)
Let t = -280 + 290. Suppose 28*r**2 - 11*r**2 - 11*r**2 + 37*r + 63*r - t*r**2 = 0. What is r?
0, 25
Let p = 20458 + -143202/7. Factor 0 - p*u - 2/7*u**2.
-2*u*(u + 2)/7
Let u(y) = -23*y - 100. Let t be u(-4). Let l be t/(-88)*(-2)/2*-2. Solve 0 + l*c**3 + 0*c**2 - 4/11*c**4 + 0*c + 2/11*c**5 = 0.
0, 1
What is s in 178/5*s**3 - 1683/5*s - 7803/5 + 1146/5*s**2 + 1/5*s**5 - 31/5*s**4 = 0?
-3, 3, 17
Let l = -1420 + 1425. Suppose 0 = -l*i + 5*h - 15, -3 = -4*i + 3*h - 10. What is w in 4/3*w**i + 0*w - 4/3*w**4 + 0 - 2/3*w**3 + 2/3*w**5 = 0?
-1, 0, 1, 2
Suppose -50*m = -45*m - 15. Suppose 8 = 6*g - 2*g. Determine p, given that -6*p**2 - 6*p**g + 0*p**m + 4*p**4 - 8 + 20*p - 4*p**3 = 0.
-2, 1
Suppose 1604*m**2 - 809*m**2 - 590 - 793*m**2 + 108*m = 0. Calculate m.
-59, 5
Let v(s) be the second derivative of 5*s**7/42 - 14*s**6/3 - 59*s**5/4 - 25*s**4/2 - 32*s - 32. Find r, given that v(r) = 0.
-1, 0, 30
Let a(x) be the third derivative of -1/360*x**5 + 0 + 0*x + 1/18*x**4 + 133*x**2 + 11/12*x**3. Factor a(c).
-(c - 11)*(c + 3)/6
Suppose 1/2*f**2 + 0 + 185/2*f = 0. What is f?
-185, 0
Let g = 802 - 794. What is p in -74*p**3 - 12*p**2 - 14*p**2 + 4*p**5 + g*p**5 - 12*p**2 - 40*p + 50*p**4 - 90*p**2 = 0?
-5, -2/3, -1/2, 0, 2
Let z be (-32 + 25 - -6)*-3. Let 1 - 1/4*m**z - m**2 + 1/4*m = 0. What is m?
-4, -1, 1
Let s = -316514/9 + 35463. Let a = 295 - s. Find z, given that 2/9 - 2/9*z**2 - a*z + 2/9*z**3 = 0.
-1, 1
Let g(k) = -3*k**2 - 19*k - 4. Let z be g(-6). Let 264 + 157*l + 20*l**3 + 89*l**2 + 227*l + 388*l + 212*l**z - 13*l**2 = 0. What is l?
-11, -3, -2/5
Solve -4533*r - 543*r + 2777*r**2 - 5562*r**2 + 2788*r**2 = 0 for r.
0, 1692
Let o(c) = -218*c - 181. Let i be o(-1). Let d be (2/3)/(i/222). Factor -3/5*b**5 + 0*b**d + 0 - 6/5*b**2 + 9/5*b**3 + 0*b.
-3*b**2*(b - 1)**2*(b + 2)/5
Let y(o) be the first derivative of o**5/4 - 25*o**4/16 + 5*o**3/6 + 25*o**2/2 - 30*o + 134. Solve y(n) = 0.
-2, 2, 3
Solve -6*i**4 + 200/7 + 192/7*i + 2/7*i**5 - 158/7*i**2 - 194/7*i**3 = 0.
-2, -1, 1, 25
Let h = -782337 + 782341. Factor -15/7*c + 0 - 23/7*c**2 - 1/7*c**h - 9/7*c**3.
-c*(c + 1)*(c + 3)*(c + 5)/7
Let r(s) be the first derivative of s**6/30 + 6*s**5/5 + 233*s**4/20 + 28*s**3 - 342*s**2/5 - 7259. Solve r(f) = 0.
-19, -6, 0, 1
Let y(u) be the third derivative of u**5/300 + 13*u**4/120 - 7*u**3/15 - 75*u**2. Suppose y(l) = 0. Calculate l.
-14, 1
Suppose 0 = 4*x + 4*i - 336, 2*x + 0*i - 4*i = 162. Let b = x + -74. Factor -201*z**2 - 7*z + 204*z**2 + 22*z - 3*z**3 + b.
-3*(z - 3)*(z + 1)**2
Let p(h) be the second derivative of -h**7/210 - 2*h**6/25 - 13*h**5/50 + h**4/5 + 9*h**3/10 + 7*h - 75. What is k in p(k) = 0?
-9, -3, -1, 0, 1
Let k(q) = q**4 - q**3 - q**2 - 3. Let c(y) = 13*y**4 + 11*y**3 - 39*y**2 - 48*y - 33. Let s(l) = 2*c(l) - 22*k(l). Suppose s(n) = 0. Calculate n.
-12, -1, 0, 2
Suppose -26*r + 7*r + 380 = 0. Factor 20*h**3 - 30*h**2 - 58*h**3 - 5*h**4 + 13*h**3 + 40 + r*h.
-5*(h - 1)*(h + 2)**3
Let o = 5264/5 + -1052. Let q(i) be the second derivative of 4/15*i**3 - 1/10*i**4 - 1/25*i**5 + 36*i + o*i**2 + 1/75*i**6 + 0. Factor q(p).
2*(p - 2)**2*(p + 1)**2/5
Let z(s) be the third derivative of s**7/1995 - 27*s**6/380 - 261*s**5/190 - 801*s**4/76 - 810*s**3/19 - 541*s**2 - 3*s. Factor z(h).
2*(h - 90)*(h + 3)**3/19
Let o(j) be the first derivative of -1/3*j**3 + 32 + 3*j**2 + 7*j. Factor o(f).
-(f - 7)*(f + 1)
Let x(b) be the second derivative of 1/12*b**4 - 2/3*b**3 + 2*b**2 + 0 - 52*b. Factor x(k).
(k - 2)**2
Let n(k) be the first derivative of 0*k**2 + 0*k - 1/24*k**4 + 5/18*k**3 + 53. Let n(z) = 0. What is z?
0, 5
Let k be (-8 + (-316)/(-24) + -5)/((-1)/(-10)). Let j(z) be the second derivative of 8/3*z**3 + 27*z + k*z**4 + 0 + 0*z**2 + 1/5*z**5. Factor j(x).
4*x*(x + 1)*(x + 4)
Suppose -4*r + 5*x + 14 = -3*r, -3*r + 16 = -2*x. Suppose 2*h + 2*v = 14, -1 = -r*v + 11. Let -h*t**2 - 4*t + 15*t**2 - 12*t**2 = 0. Calculate t.
-4, 0
Let -802*t - t**2 - 1135*t + 1325*t - 93636 = 0. What is t?
-306
Solve -2016 - 1908 + 208 - 234*y**2 + 452 + 14*y**2 - 2*y**3 - 1664*y = 0.
-102, -4
Let x(u) be the first derivative of 21*u**5/5 + 363*u**4/4 + 132*u**3 - 294*u**2 - 192*u - 6864. Suppose x(f) = 0. What is f?
-16, -2, -2/7, 1
Suppose -82*s + 11*s = -284. Let a(u) be the third derivative of 35*u**2 - 1/30*u**5 - 1/315*u**7 + 1/4*u**s + 0*u**3 + 0 - 1/36*u**6 + 0*u. Factor a(w).
-2*w*(w - 1)*(w + 3)**2/3
Let w be (-2)/(-5) + (-48)/20. Let b be 56/30 + w + (-4)/(-3). Find j, given that 0 + 0*j**2 - 12/5*j**3 + 0*j**4 + 6/5*j**5 + b*j = 0.
-1, 0, 1
Let f(i) = 3*i**2 - 656*i - 1376. Let z(g) = g**2 - 657*g - 1357. Let s(l) = -3*f(l) + 4*z(l). Factor s(m).
-5*(m + 2)*(m + 130)
Let r(w) be the first derivative of w**6/14 + 3*w**5/35 - 3*w**4/28 - w**3/7 + 981. Solve r(j) = 0 for j.
-1, 0, 1
Let l = 290/3 - 5797/60. Let m(o) be the third derivative of -l*o**6 + 1/210*o**7 + 0 + 0*o + 3/20*o**5 - 1/6*o**4 + 0*o**3 - 5*o**2. Let m(x) = 0. Calculate x.
0, 1, 4
Suppose -a + 7*f - 6 = 5*f, 2*a = 5*f - 17. What is t in -1 - 6*t**2 - 370*t**4 - 373*t**a + 742*t**4 - 4*t - 4*t**3 = 0?
-1
Let z = -65 - -286. Let y be (z/221)/(2/(-6)*-1). Factor -2/3*o**2 + 2/3*o**y - 4/3*o + 0.
2*o*(o - 2)*(o + 1)/3
Let t(h) be the first derivative of -232*h**5/25 + 97*h**4/2 + 4708*h**3/15 - 449*h**2/5 - 84*h/5 - 3953. Determine g, given that t(g) = 0.
-3, -2/29, 1/4, 7
Suppose 62*w**3 - 55*w + 36 + 54*w**3 + 63*w**3 - 5*w + 37*w**2 - 189*w**3 + w**4 = 0. What is w?
2, 3
Let l(j) be the first derivative of j**7/420 - 13*j**6/360 + 2*j**5/15 - 5*j**4/24 - 89*j**3/3 + 62. Let w(c) be the third derivative of l(c). Factor w(p).
(p - 5)*(p - 1)*(2*p - 1)
Solve 21/2 + 45/4*a - 81/4*a**2 - 3/2*a**3 = 0 for a.
-14, -1/2, 1
Factor -88*q**2 + 39*q - 11*q + 60 + 89*q**2 + 127.
(q + 11)*(q + 17)
Suppose 0 = -10*c - 12 + 62. Find p, given that -c*p**5 + 2*p**2 - 6*p**2 - 10*p**4 + 4*p**2 - 5*p**3 = 0.
-1, 0
Let b be 1/12 + ((-20634)/(-360) - 43). Suppose -24/5*z - b - 2/5*z**2 = 0. Calculate z.
-6
Let w = 37951601/5271055 + -1/1054211. Suppose -w - 1/5*u**2 + 12/5*u = 0. Calculate u.
6
Let r = 333 - -193. Suppose -56*d + 2*d**3 - 536*d**2 + r*d**2 + 42 + 22*d = 0. Calculate d.
-3, 1, 7
Let c(h) = -4*h**3 + 12*h**2 - 15*h - 14. Let n = -300 + 307. Let f(d) = 3*d**3 - 8*d**2 + 10*d + 10. Let r(z) = n*f(z) + 5*c(z). Factor r(k).
k*(k - 1)*(k + 5)
Let y = -1739941 - -1739943. What is s in 0 + 8/15*s**4 + 4/15*s - 14/15*s**y - 2/3*s**3 = 0?
-1, 0, 1/4, 2
Suppose 42*x + 798 - 488 = 478. Solve 3/2*u + u**x + 0 - 25/4*u**2 + 3/4*u**3 = 0.
-3, 0, 1/4, 2
Let j(c) = c**2 - c + 1. Let l(m) = -6*m**2 - 112*m - 1686. Let u be 6/126*78 - (-4)/14. Let s(p) = u*j(p) + l(p). Factor s(d).
-2*(d + 29)**2
Let l(c) = -2 - 3 - 2 + 1 + 10*c - 2*c**2. Let t be l(4). Factor -1242*n**t - 81*n**4 - 729*