 + 0 = 0.
-2, 0, 203
Let y = -1840/17 + -6193/51. Let u = 235 + y. Factor 2/3*t**2 - u - 4/3*t.
2*(t - 4)*(t + 2)/3
Solve 17 + 23 + 5*f**2 + 11 + 45*f + 20 + 19 = 0 for f.
-6, -3
Let b(c) = -5*c**4 + 47*c**3 - 78*c**2 - 4*c - 2. Let i(t) = -31*t**4 + 283*t**3 - 468*t**2 - 26*t - 13. Let g(m) = -13*b(m) + 2*i(m). Let g(a) = 0. What is a?
0, 2, 13
Let i = 38 - 34. Suppose -i*r - 29 = -5*c - 5*r, 5*c - r = 21. Factor 6 + 18 + 129*w**3 + 6*w**c + 108*w + 248*w**2 + 20*w**4 + 25*w**4 - 74*w**2.
3*(w + 1)*(w + 2)**3*(2*w + 1)
Suppose 2/15*t**4 + 24832/5*t**2 + 258/5*t**3 + 0 - 75272/15*t = 0. Calculate t.
-194, 0, 1
Let o(m) = m**2 - 2*m - 525. Let v be o(-22). Let g(r) = r**3 + 4*r**2 + 2*r - 3. Let l be g(-3). Factor -8*b + 4*b + 2*b**2 + 2*b**v + l*b.
2*b*(b - 1)*(b + 2)
Let m = 145694 + -145694. Suppose -2/3*y**3 + 0*y + 2*y**2 + m = 0. Calculate y.
0, 3
Let v = 672 + -642. Let p be (2 - 24/20) + (-18)/v. Let -1/5*x**2 + 0*x - p*x**3 + 0 = 0. What is x?
-1, 0
Let c(r) be the second derivative of 7/40*r**5 + 0*r**2 + 1/60*r**6 + 2/3*r**4 + 75*r + r**3 + 0. Factor c(u).
u*(u + 2)**2*(u + 3)/2
Let k = -580769/1724 + 53/431. Let p = k + 337. Determine j so that j + 5/4 - p*j**2 = 0.
-1, 5
Let x = -27567 - -27570. Suppose -3*n + 2 = -4. Factor -9/2*l**x - 6*l**n + 3 + 3/2*l.
-3*(l + 1)**2*(3*l - 2)/2
Let b(m) = -242*m**2 + 235*m + 91. Let i(u) = 241*u**2 - 236*u - 68. Let o(p) = 3*b(p) + 4*i(p). Factor o(v).
(v - 1)*(238*v - 1)
Let x(t) be the first derivative of -t**4/28 - 18*t**3/7 - 432*t**2/7 - 3456*t/7 + 2017. Factor x(b).
-(b + 6)*(b + 24)**2/7
Let q = 25/26387 - -105373/184709. Let -60/7*c + 0 + 60/7*c**3 - q*c**2 + 4/7*c**4 = 0. What is c?
-15, -1, 0, 1
Let z(y) be the second derivative of 1/50*y**5 - 2/15*y**3 + 8 + 0*y**2 - 1/30*y**4 + y. Factor z(b).
2*b*(b - 2)*(b + 1)/5
Determine k, given that 1/3*k**5 - 197/3*k**4 - 28810/3*k**2 + 9994/3*k**3 + 28421/3*k - 9409/3 = 0.
1, 97
Let l(p) = 32*p - 34. Let o be l(-11). Let u = -1136/3 - o. What is k in 4 - 122/9*k**2 + u*k**3 + 10/3*k - 10/9*k**4 = 0?
-2/5, 1, 3
Let a = -2355 + 2359. Let x(s) be the third derivative of 0*s - 1/3*s**3 + 0*s**5 + 1/6*s**a - 1/30*s**6 + 0 + 1/105*s**7 - 2*s**2. Factor x(b).
2*(b - 1)**3*(b + 1)
Suppose -4*k = -5*q + 33, -2*q = 156*k - 157*k - 12. Factor -7*c**3 - 5*c**2 + 22*c**2 + 4*c**2 - 10*c + c**4 - q*c**3.
c*(c - 10)*(c - 1)**2
Let q(b) = 18*b**3 + 54*b**2 + 203*b - 63. Let y(h) = 2*h**3 + 5*h + 5. Let s(v) = -q(v) + 7*y(v). Let s(k) = 0. Calculate k.
-7, 1/2
Let n(a) = 7*a**4 + 60*a**3 + 211*a**2 + 290*a + 120. Let s(l) = l**4 + 3*l**3 + l**2 + 2*l. Let y(q) = n(q) - 4*s(q). Factor y(r).
3*(r + 1)**2*(r + 4)*(r + 10)
Let v(u) be the third derivative of -1/5*u**5 + 0*u**3 + 2/35*u**7 + 3/112*u**8 + 0 - 1/20*u**6 + 4*u**2 + u - 1/8*u**4. Let v(l) = 0. Calculate l.
-1, -1/3, 0, 1
Let k be (((-393)/(-9))/((-16)/60))/1. Let h = k - -164. Let -h*z**4 - 3/4*z**2 + 1/4*z + 3/4*z**3 + 0 = 0. Calculate z.
0, 1
Let w(n) be the third derivative of n**5/45 + 149*n**4/18 + 1096*n**3/3 - 2*n**2 - 40*n. Factor w(h).
4*(h + 12)*(h + 137)/3
Let i(u) be the third derivative of -201*u**2 + 0 + 0*u**4 + 0*u**3 + 1/660*u**6 + 0*u + 1/165*u**5. Factor i(a).
2*a**2*(a + 2)/11
Factor 0 + 2/3*t**3 - 394/3*t - 392/3*t**2.
2*t*(t - 197)*(t + 1)/3
Let k(g) be the third derivative of g**7/420 - g**6/48 + g**5/15 - g**4/12 + 74*g**2 - 5. Factor k(p).
p*(p - 2)**2*(p - 1)/2
Suppose -1 - 5 = -2*a - 5*b, -4*b = 0. Suppose 30*l + 82*l - 27*l**a - 5*l**4 + 13*l - 75*l**2 - 18*l**3 = 0. What is l?
-5, 0, 1
Solve -84*b**3 + 160*b**2 - 2*b**4 - 2*b**4 - 25*b**3 - 47*b**3 = 0.
-40, 0, 1
Let w(s) be the first derivative of -s**3/3 + 14*s**2 + 93*s - 382. Suppose w(z) = 0. What is z?
-3, 31
Let g = 42 + -36. Let u be g/9*(0 - -15). What is d in 4*d**3 + 0*d**2 + u*d - 28*d**2 - 16 + 4*d**2 + 26*d = 0?
1, 4
Suppose 3*x = -x + 24. Suppose 3*v - 5*v + x = 0. Factor 5*q - 194 + 3*q + 197 + v*q**2 - 2*q.
3*(q + 1)**2
Let w(r) = r**3 - 21*r**2 - 436*r + 9008. Let d be w(19). Find i, given that -10/9*i**d + 4*i - 2 = 0.
3/5, 3
Let y(z) be the third derivative of -1/1680*z**8 + 0*z - 7/600*z**6 + 41*z**2 + 7/60*z**5 + 0 - 11/1050*z**7 + 2/3*z**3 + 13/30*z**4. Find f such that y(f) = 0.
-10, -1, 2
What is q in 484/9*q**4 - 2768/9*q**2 + 616/3*q**3 + 152/3*q - 20/9 = 0?
-5, 1/11, 1
Suppose 4*o + y - 493 = 0, -11*o = -13*o + 4*y + 224. Factor 111*s - 217*s - 10*s**2 - 8 + o*s + 2*s**3.
2*(s - 2)**2*(s - 1)
Suppose 474*b - 471*b - 9 = 0. Factor 2*l**3 + 3*l**3 - 22*l**b + 9*l**3 - 3364*l + 4*l**3 + 232*l**2.
-4*l*(l - 29)**2
Let 1568*x + 2*x**5 - 229*x**4 - 1714*x**2 - 520 + 611*x**4 - 152*x**4 - 200*x**4 + 806*x**3 - 172*x**4 = 0. Calculate x.
1, 2, 65
Let q(d) be the first derivative of 2*d**5/25 + 17*d**4/10 + 16*d**3/5 - 832*d**2/5 - 7168*d/5 - 4016. Factor q(o).
2*(o - 7)*(o + 8)**3/5
Let a(p) be the second derivative of p**6/75 - 6*p**5/25 - 112*p**4/5 + 14896*p**3/15 - 16464*p**2 + 12324*p. Determine i, given that a(i) = 0.
-30, 14
Let l(s) be the first derivative of 26/21*s**3 - 4*s**2 + 3/14*s**4 + 22 + 24/7*s. Suppose l(f) = 0. What is f?
-6, 2/3, 1
Factor -17/5*f**2 - 6/5 - 7/5*f**3 - 1/5*f**4 - 17/5*f.
-(f + 1)**2*(f + 2)*(f + 3)/5
Let m(i) be the first derivative of -3/160*i**5 + 13*i - 1/16*i**2 - 5/48*i**3 + 19 - 7/96*i**4. Let b(x) be the first derivative of m(x). Factor b(h).
-(h + 1)**2*(3*h + 1)/8
Let x(f) be the first derivative of -f**4 + 216*f**3 - 642*f**2 + 640*f + 481. Let x(j) = 0. Calculate j.
1, 160
Suppose -2*s - 2*w = -1316, 2*w - 661 = -s - 0*s. Let i = 1313/2 - s. Solve 0 - 3/2*g**5 + 0*g + 0*g**4 + 0*g**2 + i*g**3 = 0.
-1, 0, 1
Suppose -z = -2*r, -4*r + z = -151 + 147. Factor 4*y + 0 + 1/3*y**r.
y*(y + 12)/3
Let j(v) = -11*v**3 - 192*v**2 - 103*v + 306. Let t(z) = 7*z**3 + 95*z**2 + 51*z - 153. Let u(f) = -3*j(f) - 5*t(f). Factor u(s).
-(s - 51)*(s - 1)*(2*s + 3)
Solve 3/2*c**2 + 231/2 + 117*c = 0 for c.
-77, -1
Factor 0*p - 4/7*p**3 - 15*p**2 + 0.
-p**2*(4*p + 105)/7
Let j(f) be the first derivative of -24/5*f - 143 - 23/10*f**2 + 1/15*f**3. Solve j(d) = 0 for d.
-1, 24
Suppose -2*i = 11 - 5. Let o(s) = -2*s - 3. Let c be o(i). Find m, given that 4*m**3 - 3*m**3 + 8*m**4 - 5*m**c - 5*m**5 + m**5 = 0.
0, 1
Suppose 3*n + 2534*x = 2538*x + 14, -2*n + 2 = x. Factor 1 + 2*g**4 - 1/2*g**3 - 6*g**n - 5/2*g.
(g - 2)*(g + 1)**2*(4*g - 1)/2
Suppose -78*w + 73*w = 3*o + 4, -4*w = 4*o - 8. Let -o*c**2 + 32*c + 1/2*c**3 - 48 = 0. What is c?
4, 6
Let p(k) be the second derivative of 5/252*k**7 - 12*k + 0*k**3 + 5/72*k**4 + 1/8*k**5 + 1/12*k**6 + 0*k**2 + 2. Factor p(j).
5*j**2*(j + 1)**3/6
Factor 37*h + 30*h**3 - 675*h**2 + 82638*h**5 - 82635*h**5 - 201*h**3 - 793*h - h**4.
h*(h + 3)**3*(3*h - 28)
Factor -860/9 - 142/3*r + 48*r**2 - 2/9*r**3.
-2*(r - 215)*(r - 2)*(r + 1)/9
Suppose 3*q - 2*o = 8, 4*q + 5065 - 5073 = 2*o. Factor q - 3*s**2 + 3/2*s**5 + 3*s**4 + 0*s**3 - 3/2*s.
3*s*(s - 1)*(s + 1)**3/2
Suppose 36*k**4 + 9*k**4 - 8*k**4 + 76*k - 42*k**4 - 125*k**3 + 275*k**2 - 270 + 49*k = 0. Calculate k.
-27, -1, 1, 2
Let q(d) = 63*d**3 + 203*d**2 + 128*d - 4. Let r(b) = 125*b**3 + 407*b**2 + 256*b - 8. Let s(a) = -9*q(a) + 4*r(a). Let s(l) = 0. What is l?
-2, -1, 2/67
Let u be (-4 - (-11 - -4)) + (-3 - 0). Let k = -1/1587 - -1591/6348. Factor 0*t**4 + 0*t**2 + k*t**5 - t**3 + u*t + 0.
t**3*(t - 2)*(t + 2)/4
Let d(p) = p**3 - p**2 - p - 10. Let r be d(5). Factor -24*j + 56*j - j**2 + 114 + 4*j**2 + r*j.
3*(j + 1)*(j + 38)
Let g be 2/(-4)*4973*282/329. Let s = g + 2137. Factor 30/7*d - 2/7*d**5 + 0*d**4 - s*d**2 - 8/7 + 20/7*d**3.
-2*(d - 1)**4*(d + 4)/7
Let l = -104 - -97. Let b(u) = 7*u**3 - 73*u**2 + 233*u - 159. Let f(q) = -22*q**3 + 218*q**2 - 698*q + 474. Let k(d) = l*b(d) - 2*f(d). Factor k(c).
-5*(c - 11)*(c - 3)*(c - 1)
Suppose -3*i - 3 = 4*o, 5 + 4 = 2*i - o. Suppose -i - 9 = -6*n. Factor -q**4 - 7*q**2 + 2*q - 7*q**n + 17*q**2.
-q*(q - 2)*(q + 1)**2
Let u(c) be the first derivative of 0*c + 0*c**2 + 17/3*c**3 + 1/180*c**6 - 6 - 1/20*c**5 + 1/6*c**4. Let w(d) be the third derivative of u(d). Factor w(b).
2*(b - 2)*(b - 1)
Let z be 5 + -3 - (-792)/3564*18/(-8). Solve -19/2*u**2 + 36*u - 69/2*u**3 + 47/2*u**4 - 14 - z*u**5 = 0.
-1, 2/3, 1, 14
Find y such that 6/7*y**2 - 292/7*y + 