 + u + 9*x - 2/3*x**3 + 0*x**2 - 1/20*x**5. Solve q(i) = 0 for i.
-2, 0
Let m be -1 - -5*(8/(-3) + 3). Let a = 6395 + -19177/3. Factor a*s + 0 - m*s**2.
-2*s*(s - 4)/3
Let q = -209 - -215. Let f(o) = -o**2 - o - 1. Let s(w) = -w**2 - 16*w - 1. Let u(k) = q*f(k) - s(k). Factor u(r).
-5*(r - 1)**2
Let v(t) be the second derivative of -t**5/40 + 17*t**4/12 - 229*t**3/12 - 66*t**2 - 1406*t - 3. Factor v(s).
-(s - 24)*(s - 11)*(s + 1)/2
Let b(n) be the third derivative of 0*n**3 + 80*n**2 - 7/72*n**6 + 0 - 1/126*n**7 + 0*n + 17/36*n**5 - 5/8*n**4. Factor b(h).
-5*h*(h - 1)**2*(h + 9)/3
Let n(u) be the first derivative of -11/6*u**2 - 1/9*u**3 - 10/3*u - 6. Determine q so that n(q) = 0.
-10, -1
Let o(h) = -17*h**2 + 96*h + 90. Let i(z) = z - 1. Let s(w) = 6*i(w) + o(w). Let u(a) = 12*a**2 - 69*a - 56. Let x(f) = 5*s(f) + 7*u(f). Factor x(q).
-(q - 28)*(q + 1)
Factor -2*q**2 + 786 - 44 - 350*q - 59 + 385.
-2*(q - 3)*(q + 178)
Let k(p) be the third derivative of -1/70*p**7 + 0*p**3 + 0 + 0*p**4 + 0*p - 1/20*p**5 - 1/20*p**6 - 32*p**2. Factor k(b).
-3*b**2*(b + 1)**2
Suppose -48*j**2 - 155*j**3 + 379*j**3 - 249*j**4 - 27*j**5 - 494*j**3 = 0. What is j?
-8, -1, -2/9, 0
Let t be 40 - (13 + (-6045)/(-351)). Determine i so that -t - 52/9*i - 4/9*i**2 = 0.
-11, -2
Let h(v) = 5*v**2 + 27*v - 65. Let k(o) = 64*o**2 + 352*o - 846. Let m(a) = -76*h(a) + 6*k(a). Let m(f) = 0. What is f?
-17, 2
Let g(z) be the third derivative of -z**8/336 - 4*z**7/21 - 32*z**6/9 + 71*z**3/6 + 36*z**2 - 2*z. Let i(c) be the first derivative of g(c). Factor i(u).
-5*u**2*(u + 16)**2
Let p(k) = 7*k**4 - 66*k**3 + 58*k**2 + 72*k - 65. Let w(q) = 9*q**4 - 66*q**3 + 56*q**2 + 74*q - 65. Let o(b) = -4*p(b) + 3*w(b). What is z in o(z) = 0?
-1, 1, 65
Let r = -918919 - -918922. Solve -1/3*j**2 + 0*j - 1/3*j**r + 0 = 0.
-1, 0
Let x(j) be the third derivative of 40/9*j**3 - 4/9*j**4 + 0*j + 21*j**2 + 1/252*j**8 + 7/90*j**6 - 3 + 22/315*j**7 - 31/45*j**5. Let x(l) = 0. What is l?
-10, -2, -1, 1
Let w(o) be the first derivative of -3*o**4/20 + 774*o**3/5 + 465*o**2/2 - 5770. Factor w(k).
-3*k*(k - 775)*(k + 1)/5
Factor -80 - 284/7*d - 2/7*d**2.
-2*(d + 2)*(d + 140)/7
Suppose c - 7 = 5*i, 3*c + 10*i = 5*i + 21. Let -77*j**2 + 4*j**4 + 1617*j + 20*j**3 - 32 - c*j**2 - 1525*j = 0. What is j?
-8, 1
Let w(x) be the second derivative of -x**6/6 + 45*x**5/4 - 1105*x**4/4 + 16055*x**3/6 - x - 25. Factor w(p).
-5*p*(p - 19)*(p - 13)**2
Let w(t) be the third derivative of 10*t**2 - 2/9*t**4 + 2/45*t**5 - 1/270*t**6 + 0 + 1/2*t**3 + 0*t. Let x(m) be the first derivative of w(m). Factor x(u).
-4*(u - 2)**2/3
Let h(d) = 7*d**3 - 1152*d**2 - 442352*d - 56623104. Let n(y) = y**3 + 2*y. Let f(r) = -5*h(r) + 40*n(r). Solve f(w) = 0 for w.
-384
Suppose 476*n + 393*n = 1738. Factor 0 - 10/3*w**n - 2/3*w**3 + 28/3*w.
-2*w*(w - 2)*(w + 7)/3
Let i = 418540 - 418536. Suppose -16/7*z**3 + 16/7*z - 6/7*z**i + 12/7*z**2 - 6/7 = 0. What is z?
-3, -1, 1/3, 1
Let i(m) be the first derivative of 1/14*m**4 + 0*m + 102 + 0*m**2 - 2/21*m**3. Solve i(v) = 0.
0, 1
Let o = 5798 + -5795. Let q(v) be the second derivative of o*v + 0 - 5/3*v**4 - 5/6*v**3 + 10*v**2 + 1/4*v**5. Factor q(z).
5*(z - 4)*(z - 1)*(z + 1)
Let g be 27 + -1*(-679)/(-28). Determine z, given that -g*z**2 + 1/2*z - 17/4*z**4 + 0 + 21/4*z**3 + 5/4*z**5 = 0.
0, 2/5, 1
Factor 1522756 - 264*b + 1008*b - 248*b**2 + 249*b**2 - 354*b + 2078*b.
(b + 1234)**2
Let c(t) be the first derivative of -2*t**3 + 3*t + 3/5*t**5 - 6*t**2 + 3 - 2*t**6 + 6*t**4. Determine s, given that c(s) = 0.
-1, 1/4, 1
Let w(c) be the second derivative of 0 - 10/11*c**3 - 1/66*c**4 - 225/11*c**2 - 14*c. Factor w(r).
-2*(r + 15)**2/11
Let o = -414820 - -414820. Factor 24/11*t + o + 2/11*t**2.
2*t*(t + 12)/11
Let v(h) = -5*h**3 - 22*h**2 + 17*h + 12. Let w be (10/12 + 0)/((-404)/2424). Let b be v(w). Solve b - 11/3*g**3 + 19/3*g - 1/3*g**2 + g**4 = 0 for g.
-1, -1/3, 2, 3
Let d = 609770 - 609768. Factor -8/5*y - 8/5*y**d + 6/5*y**3 + 0 - 2/5*y**5 + 4/5*y**4.
-2*y*(y - 2)**2*(y + 1)**2/5
Solve 3*a**3 + 227*a + 145 + 405*a + 10*a**2 - 322 - 463 - 5*a**3 = 0.
-16, 1, 20
Let y = 26726/15 - 1781. Let w = -7/15 + y. Factor 2/5*d - 2/15*d**3 + 0*d**2 + w.
-2*(d - 2)*(d + 1)**2/15
Let x be (4/3 + -1)*((-3 - 5) + 18). Let j(l) be the third derivative of -x*l**3 - 5/8*l**4 + 0 + 1/12*l**5 + 27*l**2 + 0*l. Suppose j(f) = 0. Calculate f.
-1, 4
Let l(r) be the first derivative of r**5/25 + 31*r**4/40 + 163*r**3/30 + 157*r**2/10 + 12*r - 9241. Determine t so that l(t) = 0.
-6, -5, -4, -1/2
Let v be (-112)/32*(-8)/7 + -8. Let k be v/(-22) + -13 + 6444/495. Factor k*q**2 + 1/5 - 2/5*q.
(q - 1)**2/5
Let c(r) be the third derivative of 0*r**3 + 1/280*r**6 + 2/7*r**4 - 17/140*r**5 + 0*r + 142*r**2 + 0. Determine z so that c(z) = 0.
0, 1, 16
Let g(h) be the second derivative of 7*h**5/4 - 211*h**4/36 + 107*h**3/18 - h**2/6 + 9*h - 5. Factor g(q).
(q - 1)**2*(105*q - 1)/3
Let d = -322 + 325. Let t be (-27)/(-4) - (d - -3). Let 0*s**4 + 0*s**2 + 0*s**3 + 0 + 0*s + t*s**5 = 0. What is s?
0
Suppose 5*z + 5*r - 20 = 0, -z = -5*z - r + 10. Solve -14*u**z - 2*u**4 - 24*u**4 - 2*u**3 + 195*u + 2 + 15*u**5 + 38*u**2 - 208*u = 0.
-1, 1/3, 2/5, 1
Solve 0 - 2/5*r**3 + 118/5*r**2 - 116/5*r = 0.
0, 1, 58
Let q(f) = f**2 + 2*f - 13. Let s be q(-5). Let 6 + 0*w**2 - 3 + s*w**2 + 8*w - 13 = 0. Calculate w.
-5, 1
Let w be (-7 - -2*119/14)*1/8. Suppose -5*q + 7 = 5*x + 12, -4*x + 3*q + 3 = 0. Find m, given that -5/2*m**4 + 0*m + 5/2*m**2 - w*m**3 + x + 5/4*m**5 = 0.
-1, 0, 1, 2
Let z(t) = -2*t**3 - 2*t**2 - 1. Let s(d) = 3*d**3 + 330*d**2 - 951*d + 633. Let r(k) = s(k) + 3*z(k). Factor r(x).
-3*(x - 105)*(x - 2)*(x - 1)
Let b = -27 - -29. Let n be 1/b*-2*-2. Factor 1 - p**2 + n*p + 1 - 6 + 3.
-(p - 1)**2
Let i(a) = -7*a + 60. Let x be i(8). Factor 60*b + 1 - 30*b**2 - 6*b**x - 35*b**3 + 43 + 26*b**4 - 4 - 5*b**4.
5*(b - 2)**2*(b + 1)*(3*b + 2)
Let f(j) be the third derivative of 0 - 49/6*j**3 + 0*j - 1/420*j**7 - 3/40*j**5 + 11/240*j**6 - 119/48*j**4 + 6*j**2. Factor f(z).
-(z - 7)**2*(z + 1)*(z + 2)/2
Determine j so that 3/7*j**2 + 135/7*j + 132/7 = 0.
-44, -1
Let z = -32 - -36. Suppose -5*x = -5*y - 20, z*x - 8 = -y - 2. Find u, given that -3*u**x + 9721 - 9721 = 0.
0
Solve -1040/3 + 170*n + 5/3*n**2 = 0.
-104, 2
Let u(l) = 2*l**2 - 8*l - 20. Let f be u(6). Factor -4*q**4 + 27*q**4 - 4*q**2 + 3*q**f + 82*q**3 + 16*q**2.
2*q**2*(q + 3)*(13*q + 2)
Let z be (16 - 1516/96) + (-16)/(-128). Factor -z*g**2 + 16*g - 192.
-(g - 24)**2/3
Suppose -3*r - 6 = 3*d, -4 = 3*r + 11. Factor -10*o**2 - 6*o**3 - o**3 + o**2 - o**3 - 4*o**3 - d*o**4.
-3*o**2*(o + 1)*(o + 3)
Let j(w) be the second derivative of w**4/12 - 191*w**3/6 - 96*w**2 - 2759*w. Factor j(z).
(z - 192)*(z + 1)
Let b = -138462 - -969249/7. Factor -3/7*u**4 - 6/7 + b*u**3 - 27/7*u**2 + 3*u.
-3*(u - 2)*(u - 1)**3/7
Let z = -10 + 14. Suppose -198 + 1533 = 117*o + 150*o. Suppose -10*h**5 - 18*h**z - o - 12*h**2 + 4*h - 8*h**2 + 43*h**4 - 10*h**3 + 16*h = 0. Calculate h.
-1, 1/2, 1
Let c(m) be the first derivative of -2*m**5/55 - 163*m**4/22 - 4144*m**3/11 + 35280*m**2/11 + 2891. Factor c(r).
-2*r*(r - 5)*(r + 84)**2/11
Factor 0*a + 6*a**3 + 8460*a**2 + 0*a**3 + 2*a**4 - 8458*a**2 - 6*a - 4.
2*(a - 1)*(a + 1)**2*(a + 2)
Suppose -21*z + 18*z = -6. Solve -21*g + 13*g**2 + 9 - 3*g**3 + 4*g**2 - 2*g**z + 0*g**3 = 0 for g.
1, 3
Let r = 1220 - 15. Let d = 1849 - r. Factor 3*h**3 - 15*h**2 - d + 12*h + 644.
3*h*(h - 4)*(h - 1)
Let c = 23481 - 23479. Factor 4*l - l**3 + 2*l**c - 1/2*l**4 + 0.
-l*(l - 2)*(l + 2)**2/2
Let b(t) be the first derivative of 24/11*t - 47/22*t**4 + 8/55*t**5 - 43 - 32/33*t**3 + 47/11*t**2. Find u such that b(u) = 0.
-1, -1/4, 1, 12
Let q = 413 + -5367/13. Let f(n) be the second derivative of -q*n**2 + 1/195*n**6 + 0 - 5/39*n**3 + 15*n + 1/130*n**5 - 1/26*n**4. Find h such that f(h) = 0.
-1, 2
Let l be (11 - 30)*(-22)/(-194) + 2. Let z = 261/194 - l. Factor 3/2*m**3 + 0*m**2 - z*m + 0.
3*m*(m - 1)*(m + 1)/2
Let g(p) be the first derivative of 3/25*p**5 - p**3 + 0*p**4 + 12/5*p - 40 + 0*p**2. Suppose g(q) = 0. Calculate q.
-2, -1, 1, 2
Let s = 11/21 + -4/21. Let r(w) be the first derivative of -9 + s*w**3 + 0*w - 1/8*w**4 - 1/4*w**2. Solve r(j) = 0.
0, 1
Suppose -8*