871 - 188867. Let 4/7*t - 16/7*t**u + 24/7*t**3 + 0 + 4/7*t**5 - 16/7*t**2 = 0. Calculate t.
0, 1
Factor 748 - 29195*f + 5*f**2 + 25595*f - 7968.
5*(f - 722)*(f + 2)
Factor 34164849363842/9 - 16264/9*b**3 - 67220559496/9*b + 16532356/3*b**2 + 2/9*b**4.
2*(b - 2033)**4/9
Let s = 247 - 241. Let f(w) be the third derivative of 0*w + 0 - 3/2*w**3 + 1/70*w**7 + 16*w**2 - w**4 - 3/10*w**5 + 0*w**s. Factor f(l).
3*(l - 3)*(l + 1)**3
Let z be (-2 - (-24)/2)*(-16)/(-20). Suppose 3*g - z = -g. Solve -f**4 + 8 - 5 - 6*f**3 + f**5 + 0 - 11*f + 0*f**5 + 14*f**g = 0.
-3, 1
Let x(c) be the second derivative of c**4/4 + 615*c**3 + 1134675*c**2/2 + c - 274. Solve x(w) = 0.
-615
Factor -24*o**3 + 2*o**4 - 1936*o + 16*o**2 + 9*o**4 - 4*o**5 + 1932*o + 2*o**4 + 3*o**4.
-4*o*(o - 1)**4
Let o = -148 - -148. Let v = 9734 - 9734. Find p, given that v + 8/5*p**2 + 4/5*p**3 + o*p = 0.
-2, 0
Let l(i) = 4*i - 10. Let u be l(16). Suppose -12*c + 18 = -u. Factor -10*x**2 - c*x**2 + 19*x**2 - 3.
3*(x - 1)*(x + 1)
Let m = 276 + -266. Solve -25*w**2 + 6*w**5 - 11 - 4*w**5 - 13*w - 3*w**3 + 5*w**4 - m*w + 5 + 2*w**4 = 0.
-3, -1, -1/2, 2
Factor -104/9*h**2 + 0 + 0*h - 2/9*h**4 - 56/9*h**3.
-2*h**2*(h + 2)*(h + 26)/9
Solve -256*s**4 + 4*s**5 - 174*s**3 + 14*s**3 + 0*s**5 - 197*s**3 + 97*s**3 = 0 for s.
-1, 0, 65
Suppose 97 = 6*n - 35. Suppose -n = 5*p - 12. Let y(q) = q. Let i(c) = c**2 - 13*c. Let b(h) = p*i(h) - 18*y(h). Factor b(g).
-2*g*(g - 4)
Suppose -126 + 510 = -12*g. Let b be (5 - g/(-6))/(4/(-6)). Factor b*d**2 + 1/2*d**3 - d + 0.
d*(d - 1)*(d + 2)/2
Let v = 3744 - 3742. Solve 96/23*g - 2/23*g**v - 1152/23 = 0 for g.
24
Let c(h) be the third derivative of h**6/2520 - 11*h**5/840 - 13*h**4/84 - 71*h**3/6 - 80*h**2. Let l(s) be the first derivative of c(s). What is v in l(v) = 0?
-2, 13
Factor -169*w**2 + 1196*w + 920*w**3 + 1537 + 75*w**2 - 70*w**2 - 916*w**3 - 173.
4*(w - 31)*(w - 11)*(w + 1)
Suppose 5*u = -5*a + 195, -6*a + 8*a + 3*u - 74 = 0. Let n = a + -121/3. Find b, given that 2*b**2 - 8/3*b - 8/3 + n*b**3 + 2/3*b**4 = 0.
-2, -1, 1
Suppose 4*i - 84 = 2*i. Let k = i + -37. Determine b so that -75*b**5 - 3*b**3 + 34*b**5 + 38*b**k - 6*b**4 = 0.
-1, 0
Let c(o) = 70*o**2 - 30*o - 560. Let b(q) = 5*q**2 - 2*q - 40. Let k be 105/(-28) + (7/4 - 2). Let t(y) = k*c(y) + 55*b(y). Let t(u) = 0. Calculate u.
-2, 4
Let t(i) be the third derivative of i**7/525 - 53*i**6/150 + 4069*i**5/150 - 1113*i**4 + 26460*i**3 + i**2 - 13*i + 19. Find b, given that t(b) = 0.
18, 35
Let k(x) be the third derivative of -x**7/3360 + 3*x**6/320 + 11*x**5/80 - x**4/12 - 3*x**2 - 7. Let m(w) be the second derivative of k(w). Factor m(d).
-3*(d - 11)*(d + 2)/4
Let j(l) be the second derivative of -l**6/240 + l**5/60 + 5*l**4/16 + 104*l**2 - 68*l + 2. Let b(u) be the first derivative of j(u). Let b(o) = 0. Calculate o.
-3, 0, 5
Let r(b) = 4*b**4 + 401*b**3 - 1217*b**2 + 1225*b - 413. Let z(i) = -i**3 + i**2 - i + 1. Let w(l) = -r(l) - 5*z(l). Factor w(g).
-4*(g - 1)**3*(g + 102)
Let y(a) = 44*a**4 - 312*a**3 - 308*a**2 + 1184*a + 1184. Let d(o) = -3*o**4 + o**3 + 2*o**2 - 1. Let x(m) = -16*d(m) - y(m). Determine l so that x(l) = 0.
-73, -2, -1, 2
Determine n so that -115742*n**3 - 163534*n**2 - 556516 - 7013*n**2 - 1110048*n - 380005*n**2 - 4*n**4 + 118718*n**3 = 0.
-1, 373
Let p(n) be the first derivative of 5*n**4/4 - 1165*n**3/3 - 2370*n**2 + 6205. Let p(h) = 0. Calculate h.
-4, 0, 237
Let k(q) be the third derivative of q**6/420 - 19*q**5/105 + 29*q**4/7 - 312*q**3/7 + 1462*q**2. Factor k(w).
2*(w - 26)*(w - 6)**2/7
Let v(m) be the second derivative of -m**6/90 + m**5/4 + 17*m**4/36 - 5*m**3/6 - 8*m**2/3 + 3*m - 521. Determine s, given that v(s) = 0.
-1, 1, 16
Solve 137*k + 1151*k - 79*k**2 - 1311 - 2*k**4 + 506 + 62*k**3 - 485*k**2 + 21 = 0 for k.
1, 2, 14
Suppose p = 0, 3*k - p - 36 = 96. What is v in -k*v + 9*v - 42*v + 4*v**2 + 21*v = 0?
0, 14
Let l(m) be the third derivative of 0 + 12*m**2 + 1/120*m**4 - 1/1800*m**6 - 2*m**3 + 0*m + 0*m**5. Let j(z) be the first derivative of l(z). Factor j(t).
-(t - 1)*(t + 1)/5
Let z(w) = 20*w**4 + 58*w**3 + 118*w**2 + 208*w + 88. Let u(t) = -t**4 - 2*t**3 + t**2 - 4. Let a(k) = -44*u(k) - 2*z(k). Find r, given that a(r) = 0.
-4, -2, 0, 13
Let g be 5/(-4)*(3179 - 3180). Factor -45/4*n**2 + g*n**4 + 15/4*n**3 + 25/4*n + 0.
5*n*(n - 1)**2*(n + 5)/4
Find x such that -436*x + 388*x + 144 + 4*x**4 - 92*x**2 - 9*x**3 + 7*x**3 - 6*x**3 = 0.
-3, -2, 1, 6
Suppose 0 = 6*m - 1 + 19. Let h be (m/78)/((1 - 4)/48). Factor -2/13*a**2 - h + 8/13*a.
-2*(a - 2)**2/13
Let g(c) be the first derivative of 7*c**4 - 34*c**3 - 29*c**2 + 72*c - 1414. Factor g(p).
2*(p - 4)*(p + 1)*(14*p - 9)
Let f = -279 + -51. Let b = 333 + f. Factor 3/7*g**b - 3/7*g + 3/7*g**2 - 3/7.
3*(g - 1)*(g + 1)**2/7
Suppose -i + 249 = 53. Solve 20*w**2 - 3*w**3 + i + 7*w**3 - 4*w**3 - 2*w**3 + 12*w**2 - 154*w = 0 for w.
2, 7
Solve 15129/4 + 1/4*d**2 + 123/2*d = 0 for d.
-123
Let v(q) be the first derivative of 0*q**2 + 4/3*q**3 + 12/5*q**5 + 0*q - 4*q**4 - 57. Let v(t) = 0. What is t?
0, 1/3, 1
Let w be 1*7*(5 - (-4 - -4)). Let o be 2/7 - (-11540)/w - 2. Find x such that o - 4*x**3 + 4*x**4 - 328 = 0.
0, 1
Let n(b) = 0*b + 12 + 16 - 4*b - 1. Let q be n(6). Find w, given that w + 49/4*w**q + 0 - 7*w**2 = 0.
0, 2/7
Factor 0 + 1/11*n**3 + 41/11*n**2 + 0*n.
n**2*(n + 41)/11
Let p(d) be the first derivative of 4*d**5/45 + 17*d**4/18 + 26*d**3/9 + 8*d**2/9 - 32*d/9 + 1583. Find q such that p(q) = 0.
-4, -1, 1/2
Let f(y) be the first derivative of -2*y**5/65 + 17*y**4/26 + 568*y**3/39 + 708*y**2/13 - 2016*y/13 + 707. Determine r so that f(r) = 0.
-6, 1, 28
Let v = 25799 + -25799. Let n(b) be the second derivative of 0 - 1/5*b**3 + 35*b + v*b**2 - 1/30*b**4. Factor n(m).
-2*m*(m + 3)/5
Suppose 38*a = 44*a - 72. Factor 14*p**4 - a*p**5 + 22479*p**3 - 22485*p**3 + 13*p**4.
-3*p**3*(p - 2)*(4*p - 1)
Suppose -3*w - 2*w - 2*l = -84, 4*l - 8 = 0. Suppose -w = -0*z - 8*z. Factor -9*q**5 + 21*q**3 - 12*q**5 + 12*q**z + 18*q**5 + 6*q**4.
-3*q**2*(q - 4)*(q + 1)**2
Let f(t) be the second derivative of -2*t**7/189 - 14*t**6/135 + 23*t**5/45 + 13*t**4/9 - 4*t**3 + 43*t - 3. Let f(n) = 0. Calculate n.
-9, -2, 0, 1, 3
Let m(p) = -p**3 - 185*p**2 - 59*p - 79. Let f(x) = -19*x**2 - 1. Let o(s) = 18*f(s) - 2*m(s). Find u, given that o(u) = 0.
-7, -5, -2
Let n(w) = 3*w + 56. Let q be n(-18). Factor -4*o**3 - 557*o**2 - 568*o**q - 48 + 1097*o**2 - 64*o.
-4*(o + 2)**2*(o + 3)
Let w be (-165)/(-1116) - (-70)/(-1085). Let t(b) be the third derivative of 1/48*b**5 - 15*b**2 + 0*b + 0 - 1/32*b**4 - w*b**3. Let t(y) = 0. Calculate y.
-2/5, 1
Let u = -183224/5 + 36496. Let b = u + 150. Factor -8/5*n**2 + b + 2/5*n**4 + 4/5*n - 4/5*n**3.
2*(n - 3)*(n - 1)*(n + 1)**2/5
Let r(d) be the third derivative of d**2 + 0*d + 16/15*d**3 + 2/15*d**4 - 45 + 1/150*d**5. Factor r(m).
2*(m + 4)**2/5
Let z(x) = -12*x**4 + 36*x**3 - 9*x**2 - 18*x + 9. Let l(k) = 3*k**4 - 9*k**3 + 2*k**2 + 4*k - 2. Let p(s) = 9*l(s) + 2*z(s). Determine v so that p(v) = 0.
0, 3
Let r(m) be the third derivative of -23*m**6/420 - 68*m**5/105 - 65*m**4/28 + 6*m**3/7 + 405*m**2. Factor r(t).
-2*(t + 3)**2*(23*t - 2)/7
Let b = 320 + -354. Let c = b + 450/13. Solve -10/13*a + c + 2/13*a**2 = 0 for a.
1, 4
Factor -184 + 418*z**2 + 19*z - 417*z**2 - 25*z - 84*z.
(z - 92)*(z + 2)
Suppose 6*t + 4 = 208. Let u = -34 + t. Factor -2/7*d + u - 2/7*d**2.
-2*d*(d + 1)/7
Suppose 6*i - 2 = 16. Let l = 239/354 + -1/118. Determine k so that 0*k - 1/3*k**i + l*k**4 + 1/3*k**5 + 0 - 2/3*k**2 = 0.
-2, -1, 0, 1
Let f(m) = m**3 + 2*m + 1. Let k(i) = 2*i**4 - 15*i**3 + 8*i**2 - 10*i - 5. Suppose -7*y - 464 = -429. Let c(t) = y*f(t) - k(t). Solve c(s) = 0.
0, 1, 4
Suppose -1045*m + 1114*m = 207. Factor 0 + 12/5*n**2 + 12/5*n - 3/5*n**m - 3/5*n**4.
-3*n*(n - 2)*(n + 1)*(n + 2)/5
Let a(v) = -5*v**3 + v + 2. Let b be a(-2). Find j such that 130*j**3 + 80 - 25*j**2 - 10*j**2 + b*j - 125*j**3 = 0.
-1, 4
Let g(q) be the second derivative of 0 + 0*q**3 - 1/20*q**5 + 17*q - 5/12*q**4 + 0*q**2. Find m such that g(m) = 0.
-5, 0
Let v(s) be the first derivative of -s**3 + 51*s**2/2 - 180*s - 207. Factor v(m).
-3*(m - 12)*(m - 5)
Let u(k) be the second derivative of k**5/50 + 467*k**4/30 + 1394*k**3/15 + 