) + 17*i(z). Suppose t(a) = 0. What is a?
0, 5
Factor 10*q**3 + 2*q**5 + q**3 + 12*q**4 + 23052*q**2 - 23044*q**2 + 7*q**3.
2*q**2*(q + 1)**2*(q + 4)
Let f(b) = -9*b**2 - 48*b - 680. Let v = -152 - -163. Let y(t) = -25*t**2 - 145*t - 2039. Let q(w) = v*f(w) - 4*y(w). Factor q(i).
(i + 26)**2
Find s such that -1288 + 339*s - 5808*s**2 + 953*s + 5804*s**2 = 0.
1, 322
Let b = 13692 + -13690. Let q(g) be the first derivative of 4/5*g**5 - 24*g**b + 52/3*g**3 + 16*g - 29 - 6*g**4. Find j, given that q(j) = 0.
1, 2
Determine g, given that -405/7*g**3 - 2295/7*g - 3*g**4 - 486/7 - 2193/7*g**2 = 0.
-9, -1, -2/7
Let a(u) = 8*u**3 + 722*u**2 + 16016*u - 4046. Let g(b) = 8*b**3 + 721*b**2 + 16017*b - 4047. Let i = -496 + 492. Let n(v) = i*g(v) + 3*a(v). Factor n(t).
-2*(t + 45)**2*(4*t - 1)
Let m(a) be the third derivative of -a**6/120 - 3*a**5/20 - 9*a**4/8 + 13*a**3/3 + 3*a**2 + 10*a. Let j(y) be the first derivative of m(y). Factor j(u).
-3*(u + 3)**2
Let f(i) = 4*i**2 - 1123*i - 10430. Let r be f(-9). Find n, given that 1/6*n**2 + 1/6*n - r = 0.
-3, 2
Suppose 4*p**5 + 1080*p + 555445*p**2 - 1084*p**3 - 277655*p**2 - 277706*p**2 - 84*p**4 = 0. What is p?
-9, -1, 0, 1, 30
Suppose 3*r + p - 32 = 0, 68 = 21*r - 17*r - 5*p. Suppose 3*s = 5*h - 20, 5*s - r - 4 = -4*h. Factor 0*u + s - 2/11*u**2.
-2*u**2/11
Let q(o) = 13*o + 180. Let l be q(-13). Solve 32*g**3 + l*g**4 + 5*g**5 - 7*g**3 + 19*g**4 = 0.
-5, -1, 0
Solve -2/7*r**3 + 8 + 6/7*r**2 + 48/7*r = 0 for r.
-2, 7
Let g(j) be the second derivative of -9/10*j**4 - 3/50*j**5 - 37*j - 3*j**3 - 21/5*j**2 + 0. Factor g(i).
-6*(i + 1)**2*(i + 7)/5
Let u(w) be the third derivative of w**6/480 - 9*w**5/80 + w**4/4 + 13*w**3/6 + 4354*w**2. Factor u(f).
(f - 26)*(f - 2)*(f + 1)/4
Suppose 29*u - 1766 = 6354. Let s be u/40 + 45/(-11). Factor -128/11 + s*l - 2/11*l**2.
-2*(l - 8)**2/11
Suppose 5*c - 39 = 36. Suppose c = 4*d + d. Solve 5*n**5 - n**5 - 5*n**5 + n**4 - n + 1 + 0*n**5 - 2*n**2 + 2*n**d = 0.
-1, 1
Let l = 13 - 11. Suppose 2*p - 2*a - 9 = 5, l*a = -p - 8. Let 0 + 2*y**5 + 0 + 2*y**4 + 33*y**3 - 43*y**3 + 6*y**p = 0. Calculate y.
-3, 0, 1
Let m(s) = 3*s**2 + 67*s - 1523. Let a(k) = -6*k**2 - 120*k + 3045. Let i(r) = -5*a(r) - 9*m(r). Determine o so that i(o) = 0.
-22, 23
Let j(v) be the first derivative of -5*v**3/3 - 405*v**2 + 1640*v + 4675. Factor j(s).
-5*(s - 2)*(s + 164)
Factor 2/23*f**2 + 220/23 + 114/23*f.
2*(f + 2)*(f + 55)/23
Find t, given that -470/13*t**3 + 568/13*t - 80/13 - 98/13*t**5 + 1036/13*t**4 - 956/13*t**2 = 0.
-1, 2/7, 1, 10
Let b be (-1658)/18 + (-14)/(-126). Let y = -88 - b. Determine o so that 2/3*o**3 + 0*o + 2/3*o**y + 0 - 2/3*o**5 - 2/3*o**2 = 0.
-1, 0, 1
Let k(n) be the first derivative of 61 + 40/3*n**3 + 18*n**6 - 45*n**4 - 32*n + 40*n**2 + 0*n**5. Find v such that k(v) = 0.
-1, 2/3
Factor 1/8*h**2 + 39200 + 140*h.
(h + 560)**2/8
Let c = 46657 + -139970/3. Factor c*i + 1/9 + 2/9*i**2.
(i + 1)*(2*i + 1)/9
Suppose k - 4*s - 14 = 0, 3*k + 2*k = -4*s - 2. Suppose -2*i + k = -3*o + 5*o, 0 = 4*i - o - 19. Solve 0*l**2 + 0 + 0*l**i - 2/7*l + 4/7*l**3 - 2/7*l**5 = 0.
-1, 0, 1
Let p(i) = -31 - 477*i - 10 + 482*i. Let g be p(9). Determine f, given that -3/5*f**g + 0 + 6/5*f**2 - 3/5*f**3 + 0*f = 0.
-2, 0, 1
Let v(p) be the first derivative of p**4/12 + 386*p**3/9 + 38009*p**2/6 + 145924*p/3 + 13104. Solve v(r) = 0.
-191, -4
Let z = 3367/9 - 6653/18. Factor 1/2*q**2 + 4*q - z.
(q - 1)*(q + 9)/2
Let t(v) be the second derivative of -189*v**6/40 + 2187*v**5/160 - 495*v**4/32 + 17*v**3/2 - 9*v**2/4 + 1390*v. Suppose t(l) = 0. Calculate l.
1/6, 3/7, 2/3
Factor 76*h**2 - 158*h - 85 + 57 - 170*h - 216*h - 1364.
4*(h + 2)*(19*h - 174)
Let x = 1 + 1. Suppose -20*t + 90*t = 1750. Factor -8*o + 4*o**x - t + 17 + 12.
4*(o - 1)**2
Let n(r) be the third derivative of -23*r - 1/840*r**7 - 3*r**2 - 1/4*r**3 + 0 + 5/96*r**4 + 7/240*r**5 - 1/96*r**6. Factor n(s).
-(s - 1)**2*(s + 1)*(s + 6)/4
Suppose -2*q + 4*z = -10, 7 - 10 = 3*q + 3*z. Let h(j) = j + 1. Let l(u) = -u**4 - 2*u**3 + 12*u**2 - 15*u + 4. Let t(n) = q*l(n) + h(n). Factor t(f).
-(f - 1)**3*(f + 5)
Factor 708963/2*v + 1/2*v**3 + 707281/2 + 1683/2*v**2.
(v + 1)*(v + 841)**2/2
Let h(n) = 7*n**2 - 1. Let b(c) = -22*c**2 - 48*c + 3. Let x(d) = -b(d) - 3*h(d). What is v in x(v) = 0?
-48, 0
Find s such that -1/6*s**2 - 68/3 + 137/6*s = 0.
1, 136
Suppose 7*w = -33*w + 13240. Suppose 10*c + w = 351. Factor 3/2 - 1/4*y**c - 1/4*y.
-(y - 2)*(y + 3)/4
Let c(k) = 5*k + 1. Let z = 40 - 39. Let f be c(z). Determine n so that 225*n + 135 - 3*n**3 + 206 + 34 + 45*n**2 + f*n**3 = 0.
-5
Let x(p) be the second derivative of 0*p**3 + 1 + 17*p + 0*p**2 - 1/2*p**4 - 3/20*p**5. Let x(v) = 0. Calculate v.
-2, 0
Suppose 5*r + 980 - 990 = 0. Suppose 0*f + 6 = 2*f - i, 2*i = -f - r. Factor 0 + 4/5*k**f - 4*k.
4*k*(k - 5)/5
Suppose 861*k - 864*k + 2175 = 0. Let q = 3626/5 - k. Let -49/5 - 14/5*s - q*s**2 = 0. Calculate s.
-7
Solve -880*c**2 + 505*c**4 + 197*c - 5*c - 50*c**5 + 226*c**3 + 35*c**4 + 514*c**3 + 52*c**3 = 0.
-2, 0, 2/5, 12
Suppose -5*f + 114*l = 118*l - 10, -5*f + 10 = -5*l. Let -2/9*n**4 + 8/9 - 22/9*n - 2/9*n**3 + f*n**2 = 0. What is n?
-4, 1
Find d such that -1528*d**2 - 386 - 335 + 817 + 388*d**3 + 1456*d = 0.
-6/97, 2
Let k = -3 - -5. Let i(w) = w**2 - 45*w + 130. Let r be i(3). Find c such that -108*c**3 - 32*c - 144*c**k - 175*c**2 + 199*c**2 - 20*c**r = 0.
-4, -1, -2/5, 0
Let q be ((-2)/9)/(68/(-102)). Let a(w) be the second derivative of q*w**4 + 4*w**2 - 13*w - 2*w**3 + 0. Let a(n) = 0. What is n?
1, 2
Let c(y) be the second derivative of y**8/1344 - y**7/504 + y**4/6 + y + 15. Let h(u) be the third derivative of c(u). Let h(o) = 0. What is o?
0, 1
Let n = -621 + 629. Find b, given that 24*b**2 + 36*b + n - 10*b**3 + 8 - 3*b**3 + 17*b**3 = 0.
-4, -1
Let i be (4/2)/(6045/1612). What is k in -26/15*k**4 - 34/15*k**3 - 2/5*k**2 + 16/15*k - 2/5*k**5 + i = 0?
-2, -1, 2/3
Let g be (-117)/15 + 24*6/18. Let o(f) be the second derivative of -13/30*f**4 + 1/3*f**3 + 0 + 6*f + g*f**2 + 7/50*f**5. Factor o(j).
2*(j - 1)**2*(7*j + 1)/5
Let o(a) be the first derivative of -a**5/20 - 31*a**4/16 - 155*a**3/12 - 125*a**2/8 - 11104. Solve o(d) = 0 for d.
-25, -5, -1, 0
Let r be ((-6)/(-8))/(1/8). Let l(k) = -8*k**3 - 9*k**2 + 7. Let y = -38 - -33. Let w(a) = -9*a**3 - 9*a**2 + 6. Let b(u) = r*l(u) + y*w(u). Factor b(v).
-3*(v - 1)*(v + 2)**2
Let g(y) be the second derivative of -y**5/5 + 439*y**4/3 + 588*y**3 + 2*y + 822. Factor g(t).
-4*t*(t - 441)*(t + 2)
Let z(j) be the second derivative of -j**5/50 + 23*j**4/30 + 181*j**3/15 - 203*j**2/5 + 2110*j. Solve z(c) = 0 for c.
-7, 1, 29
Let s(l) = -6*l**5 + 105*l**4 - 255*l**3 + 297*l**2 - 151*l + 28. Let b(j) = 2*j**5 + 5*j**4 + j**2 + 2*j - 1. Let q(n) = 2*b(n) - s(n). Factor q(w).
5*(w - 6)*(w - 1)**3*(2*w - 1)
Let j(u) be the first derivative of u**6/2 + 12*u**5/5 + 3*u**4 - 2*u**3 - 15*u**2/2 - 6*u + 1202. Factor j(k).
3*(k - 1)*(k + 1)**3*(k + 2)
Factor -175222 + 350258 - 325*l - 175356 - 5*l**2.
-5*(l + 1)*(l + 64)
Let j = -493469 - -493469. Find p such that -8/5*p**2 + j*p - 8/5*p**3 + 2/5*p**5 + 2/5*p**4 + 0 = 0.
-2, -1, 0, 2
Let p(l) be the first derivative of -5/4*l**4 + 0*l + 50/3*l**3 - 46 + 55/2*l**2. Factor p(o).
-5*o*(o - 11)*(o + 1)
Factor -170*x + 859*x + 81*x + 1620 + 1040*x + 3*x**2 - 187*x.
3*(x + 1)*(x + 540)
Factor -12726*k**2 + 6*k**3 - 2*k**3 - 3040*k + 46400 + 25457*k**2 - 12775*k**2.
4*(k - 20)**2*(k + 29)
Let q(t) be the first derivative of -75 + 1/6*t**3 + 3/4*t**2 - 5*t. Factor q(r).
(r - 2)*(r + 5)/2
Let t = -6255/4 - -1564. Let l(w) be the third derivative of 1/60*w**5 + w**2 + 0 + 1/6*w**3 + t*w**4 - 1/5*w**6 + 0*w + 8/105*w**7. Factor l(a).
(a - 1)**2*(4*a + 1)**2
Let z(q) be the second derivative of 1/210*q**7 + 7/30*q**3 + 0 - 2/25*q**5 - 2/5*q**2 - 274*q + 1/75*q**6 + 1/30*q**4. Factor z(h).
(h - 1)**3*(h + 1)*(h + 4)/5
Let l be (46/(-12))/(-23)*18. Factor 0*u**2 - 3/4*u**4 + 0*u + 0 - 3/4*u**l.
-3*u**3*(u + 1)/4
Suppose 31*d + 28 = 25*d + 20*d. Determine y so that 0 + 2*y**d - 4/3*y**3 - 2/3*y = 0.
0, 1/2, 1
Factor 1462 - 145*h + 65*h**2 - 126*h**2 - 65*h + 698 + 66*h**2.
5*(h - 24)*(h - 18)
Let t(r) be the first derivative of 4*r**5/5 - 17*r**4 - 76*r**3 - 118*r**2 - 80*r - 7