*z**5 + p*z**2 + 3/2*z - 3/4*z**3 + 0 - 9/4*z**4 = 0?
-2, -1, 0, 1
Let k be (1775/(-90525))/((-1)/68). Factor 40/3*l - 32 - k*l**2.
-4*(l - 6)*(l - 4)/3
Let r be 6/((-24)/(-26)) + (-3)/2. Suppose 0*h - r*h = -3*n - 9, n = -5*h + 17. Suppose 577*l**3 + 4*l + 0*l**n - 6*l**2 - 575*l**3 = 0. Calculate l.
0, 1, 2
Let m = 1966269 - 3932537/2. Find f, given that 15/2 - f - m*f**2 = 0.
-5, 3
Let l(d) be the third derivative of -5/33*d**3 + 0*d - 36*d**2 - 1/330*d**5 + 0 - 1/22*d**4. Factor l(r).
-2*(r + 1)*(r + 5)/11
Let c(z) = -5*z**4 + 6*z**3 + 3*z**2 - 2*z + 2. Let j(h) = 1 - h**2 + 148*h + h**3 - 304*h - 2*h**4 + 155*h. Let i(u) = 3*c(u) - 6*j(u). Factor i(q).
-3*q**2*(q - 5)*(q + 1)
Let l(p) be the third derivative of 0*p + 0 - 70*p**2 + 1/8*p**4 - 1/120*p**6 - 1/3*p**3 + 0*p**5. Factor l(o).
-(o - 1)**2*(o + 2)
Suppose 3*d = -5*o + d + 60, -d = 0. Let l(y) = 2*y**2 - 47*y + 35. Let j be l(23). Factor -j*k - o*k**4 + 102 + 8*k**2 + 8*k**3 - 210 + 112 + 4*k**5.
4*(k - 1)**4*(k + 1)
Let h(q) be the third derivative of -1/30*q**5 + 45*q**2 + 0 + 1/15*q**6 - 1/6*q**4 + 0*q + 0*q**3 + 1/35*q**7. Factor h(o).
2*o*(o + 1)**2*(3*o - 2)
Let v(s) be the third derivative of 0 - 48*s**2 + 0*s**3 - 1/70*s**5 + 0*s + 1/420*s**6 + 0*s**4. Factor v(i).
2*i**2*(i - 3)/7
Let f(c) be the first derivative of -c**4/14 - 426*c**3/7 - 103032*c**2/7 - 606744*c/7 + 4727. Factor f(z).
-2*(z + 3)*(z + 318)**2/7
Let a be ((-3)/(-24))/((-7)/(-280)). Let b(c) = -3*c**4 - 7*c**3 + 8*c**2 + 2*c. Let y(g) = -g**3 + g**2. Let r(j) = a*y(j) - b(j). Let r(q) = 0. Calculate q.
-1, -2/3, 0, 1
Let c be (8 - 7)/(-2) - (-30)/(-4). Let t(s) = s + 10. Let g be t(c). Suppose 2/3*n**g - 8/3 + 0*n = 0. Calculate n.
-2, 2
Let t = -10587 - -84773/8. Let -4*l**3 - 49/8*l**5 + 0 - t*l**4 - 1/2*l**2 + 0*l = 0. Calculate l.
-1, -2/7, 0
Let m(k) be the third derivative of 23/144*k**4 + 11/36*k**3 + 0 + 13/360*k**5 + 0*k + 1/720*k**6 - 104*k**2. Find c, given that m(c) = 0.
-11, -1
Factor 807/2*b**3 - 3/2*b**4 + 1638*b + 0 + 1632*b**2.
-3*b*(b - 273)*(b + 2)**2/2
Suppose 0 = -1192*j + 1163*j + 90 - 3. Let 0 + 4*d + 13*d**2 - 5/2*d**4 + 13/2*d**j = 0. What is d?
-1, -2/5, 0, 4
Let a be ((-69)/((-18009)/(-812)))/(2 - (-23)/(-9)). Factor 6*n - a - 2/5*n**2.
-2*(n - 14)*(n - 1)/5
Let p(r) = -2*r**2 + 3*r - 2. Let g(k) = -9*k**2 + 1929*k + 915839. Let t(z) = 4*g(z) - 20*p(z). Solve t(w) = 0 for w.
-957
Find q, given that 3/5*q**3 + 81*q + 0 + 96/5*q**2 = 0.
-27, -5, 0
Suppose 550*u - 551*u = -2. Factor 5 + 120*y**2 + 98*y**2 + 108*y**2 - 80*y - 132*y**2 + 126*y**u.
5*(8*y - 1)**2
Find j such that 37*j + 16 + 12*j**2 + 207*j - 123*j**3 - 184 + 39*j**3 - 4*j**4 = 0.
-21, -2, 1
Find k, given that -111/2*k**3 + 30 - 63/2*k**2 + 3/2*k**4 + 27/2*k**5 + 42*k = 0.
-10/9, -1, 1, 2
Let j(h) be the second derivative of -h**6/30 + 87*h**5/10 - 43*h**4/3 - 29*h**3 + 173*h**2/2 + 3177*h. Factor j(y).
-(y - 173)*(y - 1)**2*(y + 1)
Let w(b) be the first derivative of -8 + 48*b - 22*b**2 - 4/3*b**3. Factor w(o).
-4*(o - 1)*(o + 12)
Let z(w) = 7*w + 140. Suppose 45 = -6*u - 75. Let b be z(u). Solve b - 2/7*c**2 + 2/7*c = 0 for c.
0, 1
Let t be 45*11/297 - (-18)/(-12). Determine w so that 169/6 + t*w**2 - 13/3*w = 0.
13
Let m be (1 - 0) + 154 + -1. Suppose 3*r + 0 = 2*o + 84, 4*o - 72 = -4*r. Suppose 122*y**2 + r*y**5 - 216*y**4 + 84*y**5 - m*y**2 + 144*y**3 = 0. What is y?
0, 2/3
Let b(v) be the first derivative of 16*v**6/57 - 16*v**5/19 - 39*v**4/38 + 74*v**3/57 + 23*v**2/19 + 6*v/19 - 792. Determine a so that b(a) = 0.
-1, -1/4, 1, 3
Let j(p) = 11*p**4 + 3*p**3 - 55*p. Let a(t) = -10*t**4 - 4*t**3 + 56*t. Let u(n) = 9*a(n) + 8*j(n). Factor u(i).
-2*i*(i - 2)*(i + 4)**2
Let g(a) = -23*a**2 + 248*a - 233. Let n(b) = -8*b**2 + 83*b - 78. Suppose y - 4 = o + 6, 2*y = 4. Let l(q) = o*n(q) + 3*g(q). Factor l(p).
-5*(p - 15)*(p - 1)
Let i(r) = 2*r**2 + 3713 + 62*r + 2*r**2 - 3580. Let m be i(-13). Let -1/4*n**m + 0 - 9/4*n - 3/2*n**2 = 0. Calculate n.
-3, 0
Suppose 25 = 5*b, 0 = -5*s + 4*b + 8233 + 617. Let f = s + -3545/2. Determine t so that 294 + f*t**2 - 42*t = 0.
14
Suppose -5*n = -18 + 3. Suppose 2 - 11 = -n*z. Find i such that -3 + 6*i + 64*i**2 - 67*i**2 - z*i**3 + 3 = 0.
-2, 0, 1
Suppose 4 = 2*t - 40. Solve 7*q**3 - 13*q**4 + 10*q**4 - t*q**3 = 0.
-5, 0
Let x = -140 - -143. Suppose r**5 - 5*r - 75*r**2 + 41*r**2 + 0*r**3 + 4*r**x + 40*r**2 - 6*r**4 = 0. Calculate r.
-1, 0, 1, 5
Let r = 73 + -369. Let q = r + 890/3. What is w in 4/9 + 10/9*w + 2/9*w**2 - q*w**4 - 10/9*w**3 = 0?
-1, -2/3, 1
Let l be 6/(-1 - -19)*(3 - 0). Suppose 3 = -2*u + 7. Factor 21*w**u + 17*w**2 + l - 39*w**2.
-(w - 1)*(w + 1)
Let k(w) be the third derivative of w**5/240 + 251*w**4/12 + 126002*w**3/3 + 4621*w**2. Factor k(l).
(l + 1004)**2/4
Suppose 0 = 3*i + 3*d + 3, -3*i - 9 = -118*d + 123*d. Let q(o) be the first derivative of 20*o**i - 5/2*o**4 + o**5 - 5 - 5*o**3 - 20*o. Solve q(h) = 0.
-2, 1, 2
Let k(v) = -22*v**3 - 14*v**2 - 72*v - 6. Let b(s) = -21*s**3 - 12*s**2 - 60*s - 5. Let t(u) = -6*b(u) + 5*k(u). Determine p so that t(p) = 0.
-1/8, 0
Find h, given that 11*h**4 + 65*h**2 - 9*h**3 - 3140*h**5 - 32*h - h**2 - 33*h**3 + 3139*h**5 = 0.
0, 1, 2, 4
Let j(c) = 5*c. Let x be j(8). Determine o so that 17*o**3 - 28*o**3 + x*o + 17*o**3 - 28*o**2 - 6 - 10 = 0.
2/3, 2
Let s = -254462 + 254464. Let v be (-2 - -1)/(2*-4). Factor 0*t + 0*t**4 + 3/8*t**3 - v*t**5 + 0 + 1/4*t**s.
-t**2*(t - 2)*(t + 1)**2/8
Let l = -9502 + 26828/3. Let c = -559 - l. Solve 0*z - c*z**2 + 1/3 = 0 for z.
-1, 1
Let n(k) = -15*k**2 + 155*k + 535. Let o(l) = 7*l**2 - 77*l - 264. Let p(b) = -6*n(b) - 13*o(b). Let p(c) = 0. Calculate c.
-3, 74
Let b(d) be the second derivative of -d**4/72 + 349*d**3/9 - 121801*d**2/3 + 1188*d. Suppose b(m) = 0. What is m?
698
Let x(o) = o**3 + 90*o**2 + 187*o + 89. Let q(c) = c**2 - 8*c. Let m(z) = -2*q(z) - 2*x(z). Factor m(r).
-2*(r + 1)**2*(r + 89)
Suppose -26*k + 23*k + 2*l = -90, 0 = -3*k - 15*l - 63. Factor -k*w + 45/2 + 3/2*w**2.
3*(w - 15)*(w - 1)/2
Let i(p) = 2*p**3 - 20*p**2 - 33*p + 123. Let c be i(11). Suppose 95/9*v + 19/3*v**c + 13/9*v**3 + 1/9*v**4 + 50/9 = 0. What is v?
-5, -2, -1
Let p(y) be the third derivative of y**6/24 - 109*y**5/12 + 15635*y**4/24 - 14045*y**3/2 - 4596*y**2 - y. Suppose p(u) = 0. Calculate u.
3, 53
Let -864/5 - 1/5*v**3 + 172*v - 212/5*v**2 = 0. Calculate v.
-216, 2
Let n(t) be the second derivative of -77*t**6/15 + 93*t**5/10 - 22*t**4/21 - 4*t**3 + 16*t**2/7 - 3753*t. Let n(m) = 0. What is m?
-4/11, 2/7, 1
Suppose -7*o = -66*o - 47*o + 212. Suppose -33/8*n + 1 + 1/2*n**o = 0. Calculate n.
1/4, 8
Let z be (22/(-99)*9/21)/(2/(-7)). Let r(u) be the third derivative of -1/45*u**5 + 0*u + 0 + 12*u**2 + z*u**4 - 10/9*u**3. Factor r(c).
-4*(c - 5)*(c - 1)/3
Let 42106226*v**2 - 42108702*v**2 - 1138368 + v**3 + 386848*v + 3*v**3 = 0. What is v?
3, 308
Let t(k) = 4*k**2 + 12*k + 2. Let c(r) be the first derivative of -20*r**3/3 - 31*r**2 - 9*r + 148. Let a(p) = 2*c(p) + 11*t(p). Factor a(w).
4*(w + 1)**2
Determine v, given that 95481 + 1/4*v**2 + 309*v = 0.
-618
Suppose 4*f = -5*r + 28, 6*f - 10*f + 4*r = 8. Factor -458*b**2 + 913*b**f - 460*b**2 + 5*b**3.
5*b**2*(b - 1)
Let s be (61/(-7) - -9) + -5 + (-598)/(-112). Factor -1/8*h**4 - 3/8*h**3 + 3/8*h - 1/2 + s*h**2.
-(h - 1)**2*(h + 1)*(h + 4)/8
Let d(t) be the first derivative of -2*t**3/3 - 43*t**2 - 240*t - 971. Factor d(z).
-2*(z + 3)*(z + 40)
Factor -28*j**2 + 5*j**2 + 123*j - 28*j**2 + 5*j**3 + 11 - 8*j**2 + 16.
(j - 9)*(j - 3)*(5*j + 1)
Let x(q) = q**2 - 6 - q - 7 + 14. Let r(c) = 6 + 2 - 2916*c**3 - 1318*c**2 + 358*c**2 - 120*c. Let z(l) = -r(l) + 12*x(l). Factor z(s).
4*(9*s + 1)**3
Let u be (22/4 + -6)*(-1 + 1/(-3)). Let y(l) be the first derivative of 10 + 16*l - u*l**6 + 100/3*l**3 - 19*l**4 - 32*l**2 + 28/5*l**5. Factor y(x).
-4*(x - 2)**2*(x - 1)**3
Let z(x) = -48 - 15*x + 24 - 4*x**2 - x**3 - 3*x**2 + 0*x**2. Let l be z(-5). Solve 0*k**2 - 3/2*k + l + 1/2*k**3 = 0.
-2, 1
Let c = 618/3499 - -8025/13996. Factor 21/2*y + 147/4 + c*y**2.
3*(y + 7)**2/4
Let o(b) be the first derivative of -5*b**6/6 + 11920*b**5 - 66603000*b**4 + 529271840000*b**3/3 - 197153760400000*b**2 - 1669. Find u, given that o(u) = 0.
0, 2980
Let w(k) be the second derivat