
Let o(i) = -9*i**5 - 121*i**4 + 92*i**3 + 13*i**2 - 14*i + 6. Let n(w) = -w**5 - w**4 - w**3 - w**2 + w - 2. Let s(v) = -6*n(v) - 2*o(v). What is y in s(y) = 0?
-11, -1/3, 0, 1/2
Let l be 48 + 3*(32/(-12) - -3). Let d = l + -42. Factor y**2 + 4*y**2 + d - 4 - 2*y**2 - 6*y.
3*(y - 1)**2
Let h(u) = -3*u**4 + 114*u**3 - 39*u**2 - 24. Let v(r) = r**4 - 33*r**3 + 11*r**2 + 7. Let i(t) = 7*h(t) + 24*v(t). Factor i(k).
3*k**2*(k - 1)*(k + 3)
Let i(t) be the first derivative of t**4/4 + 46*t**3/3 - 307*t**2/2 + 260*t + 3414. Let i(n) = 0. What is n?
-52, 1, 5
Let v(o) = 16*o**2 + 280*o + 4. Let s(m) = m**3 + 15*m**2 + 284*m + 5. Let k(f) = 4*s(f) - 5*v(f). Factor k(i).
4*i*(i - 11)*(i + 6)
Let l(c) be the third derivative of c**6/30 - 41*c**5/75 + 12*c**4/5 - 24*c**3/5 + 977*c**2. Find z such that l(z) = 0.
1, 6/5, 6
Let o(b) be the second derivative of -5*b**4/12 + 305*b**3/6 - 1060*b**2 - 32*b + 3. Determine p, given that o(p) = 0.
8, 53
Let i(m) be the first derivative of m**3/8 - 567*m**2 + 857304*m + 5780. Factor i(z).
3*(z - 1512)**2/8
Let q(i) be the third derivative of 1/1020*i**6 + 1/85*i**5 - 89*i**2 + 0*i + 0 + 3/68*i**4 + 0*i**3. Factor q(w).
2*w*(w + 3)**2/17
Let k(q) be the third derivative of -1/45*q**6 - 17/36*q**4 + 0*q + 14*q**2 - 2/3*q**3 + 3/10*q**5 + 9. Solve k(h) = 0.
-1/4, 1, 6
Let r(m) = 29*m**4 + 37*m**3 + 6*m + 18. Let h(g) = -82*g**4 - 112*g**3 - 17*g - 51. Let d(n) = 6*h(n) + 17*r(n). Factor d(t).
t**3*(t - 43)
Let j = 893/99 - 629/99. Factor 3 - j*k - 1/3*k**2.
-(k - 1)*(k + 9)/3
Factor 415*l**3 - 2090*l**2 + 40 - 257498862*l + 257500597*l - 100.
5*(l - 4)*(l - 1)*(83*l - 3)
Let w(p) = -39*p**3 + 264*p**2 + 388*p - 29. Let h be w(8). Factor h - 7/2*c - 5/2*c**2 + 7/2*c**3 - 1/2*c**4.
-(c - 6)*(c - 1)**2*(c + 1)/2
Let f be 21 - (-1830)/(-90) - (-4)/(-6). Let z(i) be the first derivative of -5/3*i**3 + 5/2*i**2 - 6 + f*i. Factor z(l).
-5*l*(l - 1)
Let t(x) be the second derivative of -x**4/30 + 322*x**3/15 - 25921*x**2/5 - 112*x - 5. Factor t(k).
-2*(k - 161)**2/5
Let c be (18 - -2)*((-19392)/(-62400) - (-6)/(-26)). Determine w so that 8/5*w**2 + 4/5 + 14/5*w - c*w**3 = 0.
-1/2, 2
Let x(b) be the first derivative of -7/12*b**2 - 88 + 3*b - 1/18*b**3. Factor x(f).
-(f - 2)*(f + 9)/6
What is t in 7*t**2 - 61/2*t + 1/2*t**3 - 85 = 0?
-17, -2, 5
Suppose b + 6 = -j + 3, b = 5*j - 9. Let n be j - (-3)/(((-63)/(-12))/7). Factor -3*x**3 + 0*x**n + 8*x**3 - 5*x**5.
-5*x**3*(x - 1)*(x + 1)
Let j(o) = o**3 + 7*o**2 + 4*o - 12. Suppose -6*l - 11 = 25. Let g be j(l). Let 0*a**4 + g*a**2 - 2/13*a - 2/13*a**5 + 0 + 4/13*a**3 = 0. What is a?
-1, 0, 1
Let t = -69 + 72. Suppose 5 = 4*v + c, t*v - 6*c = -7*c + 4. Let p(d) = -d**3 + 7*d**2 - 13*d + 3. Let n(g) = g + 1. Let r(u) = v*p(u) + 2*n(u). Factor r(i).
-(i - 5)*(i - 1)**2
Let 154/15*p**2 + 962/5*p + 2/15*p**3 - 1014/5 = 0. What is p?
-39, 1
Let u(i) be the first derivative of i**3/18 - 5*i**2/4 + 9*i - 3472. Factor u(v).
(v - 9)*(v - 6)/6
Let m(z) = -80*z**3 - 2365*z**2 - 2015*z + 13500. Let b(d) = 9*d**3 + 263*d**2 + 224*d - 1500. Let w(j) = 35*b(j) + 4*m(j). Suppose w(u) = 0. Calculate u.
-50, -3, 2
Let l(c) be the second derivative of -c**5/10 + 25*c**4/6 - 5*c - 20. Factor l(z).
-2*z**2*(z - 25)
Let o(h) be the third derivative of h**5/60 + 5*h**4/8 + 13*h**3/3 - 377*h**2. Suppose o(r) = 0. What is r?
-13, -2
Let x(n) be the first derivative of 2*n**3 - 1/2*n**2 + 1/4*n**4 + 252 - 6*n. Factor x(q).
(q - 1)*(q + 1)*(q + 6)
Factor 2*j + 34/7*j**2 + 18/7*j**3 - 2/7.
2*(j + 1)**2*(9*j - 1)/7
Let q(b) be the first derivative of -b**6/3 - 8*b**5/5 - 3*b**4 - 8*b**3/3 - b**2 + 2533. Factor q(c).
-2*c*(c + 1)**4
Let o(k) be the second derivative of k**6/60 - 11*k**5/30 + 31*k**4/72 + 233*k**3/18 - 26*k**2 - k + 129. Let o(i) = 0. What is i?
-3, 2/3, 4, 13
Factor -18*a**2 + 33 - 26*a**2 - 113 - 156*a - 100 - 4*a**3.
-4*(a + 3)**2*(a + 5)
Let t(k) be the first derivative of -k**5/5 + 21*k**4/4 - 38*k**3/3 + 611. Factor t(j).
-j**2*(j - 19)*(j - 2)
Let j = 1/5022 + -26375/47709. Let n = 37/19 - j. Factor 0*v**4 - n*v + 5*v**3 + 0 - 5/2*v**5 + 0*v**2.
-5*v*(v - 1)**2*(v + 1)**2/2
Let z be 1*-9 + 1216/76. Let l(a) be the second derivative of 1/2*a**3 - a**2 + z*a + 0 - 1/12*a**4. Solve l(u) = 0.
1, 2
Solve -61/3*t**3 + 8/3 - 2*t - 59/3*t**2 - 3*t**4 + 7/3*t**5 = 0 for t.
-1, 2/7, 4
Let z(c) be the second derivative of c**7/23940 + c**6/684 + 7*c**5/380 - 5*c**4 - 80*c. Let i(y) be the third derivative of z(y). Factor i(n).
2*(n + 3)*(n + 7)/19
Suppose -27*g + 47 + 15 = 8. What is a in 1/4*a**4 + 6*a**g + 8*a - 5/2*a**3 - 32 = 0?
-2, 4
Suppose -v - v - 2 = 0, -4*t = -5*v - 1049. Let g = t + -259. Find x, given that -2/9*x**g - 2/9*x + 0 = 0.
-1, 0
Let y(a) be the first derivative of 0*a + 2/25*a**5 + 48 + 0*a**2 + 2/15*a**3 - 1/5*a**4. Factor y(f).
2*f**2*(f - 1)**2/5
Let w be ((-5)/10)/((-6)/20*(-70)/(-84)). Find t such that 867/4*t**w + 153/2*t + 27/4 = 0.
-3/17
Let x(q) be the third derivative of -q**7/140 - 5*q**6/16 - 33*q**5/20 - 30*q**2 + 9*q. Factor x(c).
-3*c**2*(c + 3)*(c + 22)/2
Let w(g) = -11205*g + 134462. Let j be w(12). Suppose 0 + 0*i + 3/8*i**j = 0. What is i?
0
Suppose 101*x - 82 - 133 = 73 + 15. Factor 4/3*m**4 + 100/3*m + 20*m**2 + 0 - 12*m**x.
4*m*(m - 5)**2*(m + 1)/3
Let w = -1191577 - -1191580. Solve -3*d**4 + 0 + 1/6*d**5 + 19/6*d - 10/3*d**3 + w*d**2 = 0 for d.
-1, 0, 1, 19
Let k(u) be the third derivative of -u**8/1512 + 44*u**7/315 - 4*u**2 + 138. Determine j so that k(j) = 0.
0, 132
Factor 3648*r**2 - 97 - 54 - 15*r - 3*r**3 - 3612*r**2 - 47.
-3*(r - 11)*(r - 3)*(r + 2)
Suppose 55*t - 33*t - 46*t = 39*t. Let l(g) be the first derivative of t*g + 39 + 2/3*g**2 + 1/12*g**4 + 4/9*g**3. Find r, given that l(r) = 0.
-2, 0
Let z(h) be the second derivative of h**5/100 - 17*h**4/30 - 5*h**3/2 + 54*h**2/5 - 7171*h. Factor z(v).
(v - 36)*(v - 1)*(v + 3)/5
Let c = -2627135/96 - -27366. Let m(l) be the third derivative of -7*l - 5/96*l**4 - 1/16*l**5 + 3*l**2 + c*l**6 + 5/8*l**3 + 0. Factor m(n).
5*(n - 3)*(n - 1)*(n + 1)/4
Let i(z) be the first derivative of -11/24*z**4 + 8*z**2 + 15 + 1/20*z**5 + z**3 + 0*z. Let f(p) be the second derivative of i(p). Factor f(o).
(o - 3)*(3*o - 2)
Let z(s) be the second derivative of -s**6/180 + 7*s**5/15 + 65*s**3/6 + 62*s. Let j(x) be the second derivative of z(x). Suppose j(o) = 0. Calculate o.
0, 28
Let t(b) = -12*b**2 + 682*b + 3050. Let d be t(61). Factor 18*o**3 + d + 0*o - 7*o**2 - 5/4*o**4.
-o**2*(o - 14)*(5*o - 2)/4
Let z(n) = 8*n**5 - 12*n**3 - 4*n**2 - 4. Let k = 44 + -40. Let o(v) = -1 - k*v**2 + v**5 + v**2 + 4*v**2. Let t(s) = -4*o(s) + z(s). Factor t(d).
4*d**2*(d - 2)*(d + 1)**2
Let m(u) be the first derivative of u**5/100 - 3*u**4/20 + 9*u**3/10 + 4*u**2 + 2*u + 63. Let o(l) be the second derivative of m(l). What is k in o(k) = 0?
3
Let w be (8/20 + (-1940)/2850)*240/(-160). Solve -4/19*f**2 - w - 18/19*f = 0.
-4, -1/2
Let y be ((-66)/(-10))/(6/4). Let n be 518/1220 - 1878/76372. Suppose 12/5 + y*p - n*p**3 + 8/5*p**2 = 0. Calculate p.
-1, 6
Let p(t) be the first derivative of 2/27*t**3 - 4/9*t**2 + 2/9*t - 8/27*t**6 + 5/9*t**4 - 88 - 8/45*t**5. Factor p(x).
-2*(x + 1)**2*(2*x - 1)**3/9
Let l(d) = -30*d - 417. Let c be l(-14). Let g be c/9 - (156/90 - 3). Factor 2/5*b**5 - 16/5 - 8/5*b + 4*b**2 - g*b**4 + 2/5*b**3.
2*(b - 2)**3*(b + 1)**2/5
Let w(o) = 49*o**3 + 13*o**2 + 138*o + 220. Let n(t) = -85*t**3 - 25*t**2 - 276*t - 439. Let u(x) = -4*n(x) - 7*w(x). Factor u(s).
-3*(s - 9)*(s + 2)*(s + 4)
Let d(v) = v**2 + 87*v - 482. Let y(g) = -9*g**2 - 717*g + 3854. Let t(q) = 51*d(q) + 6*y(q). Determine s, given that t(s) = 0.
18, 27
Let q = 2271 - 2244. Let k(r) be the third derivative of 0*r - 1/210*r**7 - 1/20*r**5 + 2/3*r**3 - 1/30*r**6 + 0 - q*r**2 + 1/6*r**4. Factor k(h).
-(h - 1)*(h + 1)*(h + 2)**2
Let u be (-18)/64*(-127232)/11928. Let 8/3 - 4/9*x**u + 7/9*x**2 + 34/9*x - 1/9*x**4 = 0. Calculate x.
-4, -2, -1, 3
Suppose l - 19 = 2*i + i, -3*i - 11 = l. Suppose 4*w - 3*o = 7, -5*o - 2 = -l*w - 1. Factor -130*a + 14*a**2 + 16 + 348*a + w*a**2 - 142*a.
2*(a + 4)*(9*a + 2)
Let l(w) = -27714*w + 1025421. Let p be l(37). Determine g, given that -8/13*g - 2/13*g**p + 0 + 10/13*g**2 = 0.
0, 1, 4
Let z(l) = 15*l**2 + 545*l. Let 