 1)/9
Let p be (-50)/(-15)*15/10. Let c(u) = -2*u**4 - 4*u**2 - 6*u - 6. Let v(q) = -3*q**4 + q**3 - 7*q**2 - 11*q - 10. Let i(o) = p*c(o) - 3*v(o). Factor i(f).
-f*(f - 1)*(f + 1)*(f + 3)
Suppose -43*z - 13*z = -112. Determine j, given that 6 + 26*j + 5*j + 14*j + 44 - 5*j**z = 0.
-1, 10
Let i be 3/(-4)*24/(-210). Let q(t) be the first derivative of 3/4*t**4 - 12/7*t - i*t**5 + 16 - 15/7*t**3 + 39/14*t**2. Factor q(l).
-3*(l - 4)*(l - 1)**3/7
Let v(y) be the third derivative of -y**7/1365 - y**6/195 + y**5/65 + y**4/39 - 5*y**3/39 + 3*y**2 - 7*y + 46. Let v(o) = 0. What is o?
-5, -1, 1
Suppose -3*u = -2*r + 10, -3*u + 811*r = 810*r + 5. Suppose 8/9*d**2 + u*d + 0*d**3 - 2/9*d**4 + 0 = 0. What is d?
-2, 0, 2
Factor 5*i**4 - 180 + 30*i**3 - 76*i - 6*i**4 - 126*i**2 - 116*i + 3*i**4 - 142*i.
2*(i - 5)*(i + 1)**2*(i + 18)
Let h(g) = -225*g**2 + 82*g + 3690. Let a(b) = 41*b**2 - 17*b - 738. Let t(n) = -22*a(n) - 4*h(n). Factor t(u).
-2*(u - 41)*(u + 18)
Let u = 1842145/2 + -921053. What is b in 54 + 3/2*b**2 + u*b = 0?
-9, -4
Let g = 200 - 181. Suppose -1121*h**4 + 384*h + 1073*h**4 - 128 + 4*h**5 + 212*h**3 - 405*h**2 - g*h**2 = 0. What is h?
1, 2, 4
Suppose -84 - 26 = 5*c. Let s(x) = -16*x**3 + 26*x**2 + 11*x - 20. Let w(d) = 3*d**3 - 5*d**2 - 2*d + 4. Let o(l) = c*w(l) - 4*s(l). Factor o(i).
-2*(i - 2)**2*(i + 1)
Let m be ((-1224)/1360)/((-6)/10). Let d(y) be the second derivative of -20*y + 0 + 3*y**2 + 1/4*y**4 - m*y**3. Let d(b) = 0. What is b?
1, 2
Let r = -1232 + 1232. Let u(g) be the first derivative of 2/15*g**6 + 0*g - 8/15*g**3 + 5 - 2/5*g**2 + 8/25*g**5 + r*g**4. Let u(h) = 0. What is h?
-1, 0, 1
Suppose 504 = -17*i + 3*i. Let k be 8/i - (-864)/1701. Let -k*x**2 - 32/7*x - 128/7 = 0. Calculate x.
-8
Let f(s) = -4*s**4 - 9*s**2 + 4*s. Suppose 0 = 41*a - 35*a + 30. Let l(v) = v**4 + v**3 + 2*v**2 - v. Let u(x) = a*f(x) - 15*l(x). Let u(y) = 0. What is y?
0, 1
Let p = 213992/35 + -6114. Let s(b) be the second derivative of -2/7*b**3 + 0 + b - 1/7*b**2 - 3/14*b**4 - p*b**5. Solve s(q) = 0 for q.
-1, -1/4
Solve 704/7*y**3 - 1000/7 + 3000/7*y + 4/7*y**5 - 2330/7*y**2 - 90/7*y**4 = 0.
1/2, 2, 5, 10
Let q(z) be the first derivative of 0*z + 2*z**5 + 104 + 0*z**2 - 40/3*z**3 - 5*z**4 + 5/6*z**6. Factor q(v).
5*v**2*(v - 2)*(v + 2)**2
Let c = 891359 + -8873379/10. Let x = 8139/2 - c. Solve -2/5*l**2 - x - 44/5*l = 0.
-11
Suppose 3*f + 23 = 5. Let v be (28/f)/((-1)/3). Find s such that v*s + 10*s + 0*s**4 + 4*s**4 - 20*s**3 + 12*s**2 + 12*s = 0.
-1, 0, 3
Let p be -1 - -27 - (-51)/(-2). Factor -p*v**2 + 0*v + 0.
-v**2/2
Let a(u) = u**3 - 6*u**2 - u - 3. Let m(n) = n**4 + 16*n**3 - 68*n**2 - 43*n + 67. Let y(o) = 21*a(o) - 3*m(o). Factor y(d).
-3*(d - 2)**2*(d + 2)*(d + 11)
Let r be (-5 - (-3)/1) + (-24)/(-10). Suppose 0 = -2*w + 4*m + 4, -5*w - 43*m = -42*m - 10. Factor -2/5 + r*y**w + 0*y.
2*(y - 1)*(y + 1)/5
Let v(w) be the first derivative of w**3/3 - 2791*w**2/4 - 698*w - 2393. What is o in v(o) = 0?
-1/2, 1396
Let k be (2673/(-825) + 3)*1295/(-14). Factor 96/5*p**2 + 6 - 3*p**3 - k*p.
-3*(p - 5)*(p - 1)*(5*p - 2)/5
Let l(j) = -23635*j + 118178. Let q be l(5). Suppose -78/5 - 9*d - 3*d**4 + 309/5*d**2 - 171/5*d**q = 0. What is d?
-13, -2/5, 1
Solve -49 - 1/3*q**3 + 11/3*q**2 - 7/3*q = 0 for q.
-3, 7
Let p be 49/15 + 2 - 7458/(-111870). Factor -6*f + 10/3*f**2 + 1/2*f**3 - p.
(f - 2)*(f + 8)*(3*f + 2)/6
Determine v so that -19*v + 15/4 + 5/4*v**2 = 0.
1/5, 15
Let m(c) be the third derivative of -1/30*c**7 + 8/15*c**5 + 2*c**4 - 8/3*c**3 + 0 - 1/10*c**6 + c - 10*c**2. Factor m(k).
-(k - 2)*(k + 2)**2*(7*k - 2)
Find k, given that -2 + 1/3*k**5 + 5/3*k - 2/3*k**4 + 8/3*k**2 - 2*k**3 = 0.
-2, -1, 1, 3
Factor -9215*q + 4*q**4 + 50*q**3 - 9*q**4 + 10*q**2 + 5*q**2 + 8675*q.
-5*q*(q - 9)*(q - 4)*(q + 3)
Let j(y) be the third derivative of -y**8/5040 - y**7/42 - 5*y**6/4 + y**5/15 + 7*y**4/24 - 58*y**2. Let n(v) be the third derivative of j(v). Factor n(t).
-4*(t + 15)**2
Let j(h) = 23*h**2 - 6264*h - 6287. Let z(m) = -4*m**2 - 3*m + 1. Let u(x) = -j(x) - 7*z(x). Find y such that u(y) = 0.
-1256, -1
Let -2633512*r**2 + 3018000160/3*r - 2/3*r**4 + 6886/3*r**3 + 3025907584/3 = 0. Calculate r.
-1, 1148
Let b be ((-5)/(-2) - -2)*(-16)/(-24). Let i be (b - (-1)/(-1)) + (2 - -584). Solve i*x**4 + 397 - 1120*x - 269 + 1282*x**2 + 1902*x**2 - 3080*x**3 = 0 for x.
2/7, 2/3, 4
Let t(z) = -z**3 - 59*z**2 - 167*z - 6319. Let y be t(-58). Factor -1/6*m**y - 41/6*m - 11/3*m**2 - 10/3.
-(m + 1)**2*(m + 20)/6
Let a(k) be the first derivative of 104 - 1/3*k**3 - 2*k - 3/2*k**2. Factor a(t).
-(t + 1)*(t + 2)
Let p(k) = -4*k**2 + 190*k - 177. Let y(r) = -2*r - 1. Let w(o) = -2*o**2 - 38*o + 41. Let a be w(-20). Let n(t) = a*p(t) + 3*y(t). Find s such that n(s) = 0.
1, 45
Let x(o) be the second derivative of -3*o**5/40 + 5*o**4/4 + 211*o**3/4 - 165*o**2 - 27*o - 5. Let x(s) = 0. Calculate s.
-11, 1, 20
Let a(b) be the first derivative of -b**4/4 - 5*b**3/3 + 35*b**2/2 - 5*b + 562. Let l be a(-9). Solve -1/3*p**2 + 1/3*p**l - p + 0 + p**3 = 0 for p.
-3, -1, 0, 1
Let w = 87655 + -350619/4. Factor -1/4 - w*m**2 + 1/2*m.
-(m - 1)**2/4
Suppose -24 = -3*q - 25*f + 24*f, 5*f = 0. Let n be (q - (-318)/(-42))*7. Suppose 4/5 + 0*u**2 + 2/5*u**n - 6/5*u = 0. What is u?
-2, 1
Factor 144/7 + 114/7*m + 4*m**2 + 2/7*m**3.
2*(m + 3)**2*(m + 8)/7
Suppose -132*h + 4*h**4 - 260*h**2 + 17885 - 17885 - 124*h**3 = 0. Calculate h.
-1, 0, 33
Suppose -221 = -a - 2*o - 235, -5*a + 38 = -2*o. Factor 0*u**2 + 2*u**3 + 2/3*u**a - 8/3*u + 0.
2*u*(u - 1)*(u + 2)**2/3
Let w(i) be the second derivative of -1/4*i**4 - 1 + 3/2*i**2 + 1/2*i**3 - 3/20*i**5 + 2*i. Solve w(f) = 0 for f.
-1, 1
Factor 12*k**2 - 6*k**3 - 7*k**2 + 1176*k - 12*k**3 + 230*k**2 - 3*k**4 - 46*k**2.
-3*k*(k - 8)*(k + 7)**2
Factor -329345/2*b - 165335*b**2 - 109561/2 - 55775*b**3 - 665/2*b**4 - 1/2*b**5.
-(b + 1)**3*(b + 331)**2/2
Let z(r) be the second derivative of -r**4/3 + 8*r**3/3 + 280*r**2 + 67*r - 12. Suppose z(i) = 0. Calculate i.
-10, 14
Let h(m) = -m**4 + m**3 - m**2 - m. Let b(c) = -32*c**4 + 20*c**3 - 76*c**2 + 76*c - 60. Let i(y) = b(y) - 36*h(y). Factor i(k).
4*(k - 5)*(k - 1)**2*(k + 3)
Let f(n) be the second derivative of n**9/756 - n**8/420 - n**7/210 + n**6/90 - n**3/3 - 13*n**2 - 46*n. Let y(m) be the second derivative of f(m). Factor y(i).
4*i**2*(i - 1)**2*(i + 1)
Let u = -1/283727 + 1134921/3688451. Let x = -3/56 - -487/728. Determine c so that u - x*c**4 + 4/13*c**2 - 8/13*c**3 - 2/13*c**5 + 10/13*c = 0.
-2, -1, 1
Let q = -669609857260403/19866 + 33706325249. Let u = q - 1/2838. Let 0 + 3/7*c + 72/7*c**3 - 27/7*c**2 - u*c**4 = 0. What is c?
0, 1/4, 1
Suppose 634*g - 1537600 + 6085*g - 4*g**2 - 1759*g = 0. Calculate g.
620
Let n = 265172/117 + -20348/9. Suppose n - 2/13*h**2 + 70/13*h = 0. What is h?
-1, 36
Let y(l) = -l**2 + 24*l + 239. Let f be y(32). Let q be 1280/210 + -6 + f/(-42). Let -3/8 + q*s - 1/8*s**2 = 0. What is s?
1, 3
Let m = -261168/7 + 37311. Let v = 2/147 + 61/147. Factor -v*n**2 + 0 + m*n.
-3*n*(n - 3)/7
Let k(d) = -25*d**2 - 395*d - 540. Suppose -53 + 613 = 16*n. Let a(s) = -2*s**2 - 33*s - 45. Let p(i) = n*a(i) - 3*k(i). Factor p(z).
5*(z + 3)**2
Let f(q) = 12*q**4 - 101*q**3 + 295*q**2 + 846*q + 473. Let z(p) = 5*p**4 - 49*p**3 + 147*p**2 + 423*p + 236. Let u(h) = -4*f(h) + 10*z(h). Factor u(t).
2*(t - 39)*(t - 6)*(t + 1)**2
Let s = 10598 + -51904/5. Let a = s - 216. Let 4/5 - a*z + 6/5*z**3 - 2/5*z**2 - 2/5*z**4 = 0. Calculate z.
-1, 1, 2
Let n(f) be the second derivative of -190*f - 1/16*f**5 - 37/8*f**3 + 0 + 27/4*f**2 - 29/24*f**4. Factor n(c).
-(c + 3)*(c + 9)*(5*c - 2)/4
Let g(f) = -22*f**3 + 284*f**2 + 528*f - 16. Let p(m) = 8*m**3 - 95*m**2 - 174*m + 6. Let k(l) = 3*g(l) + 8*p(l). Factor k(o).
-2*o*(o - 48)*(o + 2)
Let d be 456/936 - ((-154)/143)/(-7). Solve -d*l**5 + 0 - 63*l - 30*l**3 - 16/3*l**4 - 72*l**2 = 0 for l.
-7, -3, 0
Let k(h) be the third derivative of -14*h**2 - 1805/2*h**4 - 19/2*h**5 + 0 - 137180/3*h**3 + 2*h - 1/24*h**6. Factor k(l).
-5*(l + 38)**3
Let o(j) be the third derivative of -7*j**5/30 + 13*j**4/12 + 2*j**3/3 + 956*j**2. Factor o(z).
-2*(z - 2)*(7*z + 1)
Let x(d) be the second derivative of 1375/4*d**5 + 0*d**2 + 82*d + 121/6*d**6 + 110/3*d**3 + 0 + 610/