= -83736 - -83738. Factor -31*b + 7/3*b**r + 26/3.
(b - 13)*(7*b - 2)/3
Let v(j) = -52*j - 205. Let n be v(-4). Let t(y) be the third derivative of 0 + 1/6*y**5 + 0*y + 12*y**2 - 5/8*y**4 - 5/3*y**n. Factor t(g).
5*(g - 2)*(2*g + 1)
Let r(k) be the third derivative of 0*k + 1/30*k**6 + 0 + 2/3*k**3 + 1/5*k**5 + 12*k**2 + 1/2*k**4. Factor r(t).
4*(t + 1)**3
Suppose 3*j + 9 = -3*u, 4*j - j = 4*u - 9. Let r(w) be the first derivative of 1/14*w**4 + 6/35*w**5 - 4/21*w**3 + u*w**2 + 0*w + 5. Factor r(n).
2*n**2*(n + 1)*(3*n - 2)/7
Suppose 8*k - 7*k = -0*k. Factor -n**4 + 6*n**3 - 3*n + k*n**4 - 5*n - n**2 + 5*n**2 - n**5.
-n*(n - 2)*(n - 1)*(n + 2)**2
Let c be 197/(-12017) + (-130)/(-488). Factor -c*y**4 + 11/4*y**2 + 1/2*y**3 - 3*y - 9.
-(y - 3)**2*(y + 2)**2/4
Let t(z) be the third derivative of -2*z**4 + 49*z**3/2 + 30*z**2 + 8. Let v be t(3). Let 0*b + 0 + 49/2*b**5 - 12*b**v - 2*b**2 - 21/2*b**4 = 0. Calculate b.
-2/7, 0, 1
Let n(i) be the second derivative of i**4/108 - 175*i**3/54 - 5*i + 22. Factor n(t).
t*(t - 175)/9
Suppose -3 = 8*y + 9*y - 3. Let s(m) be the first derivative of -18 + m**3 + 5/4*m**4 - m**2 + y*m. Determine x, given that s(x) = 0.
-1, 0, 2/5
Let z be 52/7*(-42)/(-12). Let b(y) be the first derivative of -3/4*y**4 + 2/3*y**3 - 1/12*y**6 + 2/5*y**5 - 1/4*y**2 + 0*y - z. Solve b(q) = 0 for q.
0, 1
Let p(g) be the first derivative of g**5/10 - g**4/2 + g**3/2 - 2145. Factor p(n).
n**2*(n - 3)*(n - 1)/2
Let b(d) be the second derivative of d**6/5 + 3*d**5/20 - 2*d**4 - d**3/2 + 9*d**2 + 1220*d. Solve b(u) = 0 for u.
-2, -1, 1, 3/2
Let o(h) be the second derivative of -45/2*h**3 - 4 + 45*h**2 - 10*h - 25/12*h**4. Factor o(r).
-5*(r + 6)*(5*r - 3)
Factor -88 - 2/3*z**2 - 46/3*z.
-2*(z + 11)*(z + 12)/3
Determine p, given that -531 + 90 - 456 - 36*p**5 - 8940*p**2 - 836*p**4 - 5264*p + 113 - 5260*p**3 = 0.
-14, -7, -1, -2/9
Let d be 128/6 - (211 - 230 - (-9 + -2)). Factor d*q - 16/3 - 121/3*q**2.
-(11*q - 4)**2/3
Let r(q) be the third derivative of -q**5/30 - 56*q**4/3 - 12544*q**3/3 + 541*q**2. Factor r(z).
-2*(z + 112)**2
Let p(g) be the second derivative of g**4/6 - 7220*g**3/3 + 13032100*g**2 - 8382*g. Factor p(v).
2*(v - 3610)**2
Factor -37*z**2 - 1840/3 - 1/6*z**3 + 304*z.
-(z - 4)**2*(z + 230)/6
Let x(o) = 7*o + 86. Let t be x(-12). Factor -3*w + 9*w**t - 64 + 23*w**2 + 9*w - 4*w**4 - 6*w.
-4*(w - 2)**2*(w + 2)**2
Let b(x) = x**3 + 4*x**2 + 3*x + 6. Let g(d) = 3. Suppose 2*i - 5*w = -13, -4*i - 3*w = -4*w - 19. Let l(o) = i*g(o) - 3*b(o). Suppose l(q) = 0. What is q?
-3, -1, 0
Let i(d) be the first derivative of -5*d**4/8 + 89*d**3/3 - 103*d**2/4 - 35*d - 1321. Factor i(l).
-(l - 35)*(l - 1)*(5*l + 2)/2
Let d be (188/10 + -19)/((-1)/10). Let f be 4/(-60)*10/(-8). Find x, given that 0 - f*x**d - 1/12*x = 0.
-1, 0
Let s(r) be the second derivative of -r**5/20 - 67*r**4/12 - 155*r**3/3 - 179*r. Suppose s(l) = 0. What is l?
-62, -5, 0
Let k(y) be the first derivative of y**3/9 - 4*y**2/3 - 11*y - 1291. Find v, given that k(v) = 0.
-3, 11
Let v = 963858/643 - 1499. Let z = v + 2563/5787. Determine h, given that z*h - 14/9*h**3 + 0 + 10/9*h**2 = 0.
-2/7, 0, 1
Let d(v) be the first derivative of 5/6*v**6 + 0*v**4 - 178 - 3*v**5 + 20/3*v**3 + 0*v**2 + 0*v. Solve d(p) = 0.
-1, 0, 2
Let g(i) be the second derivative of 3*i - 5/2*i**5 - 1/10*i**6 - 119/12*i**4 + 0 - 14*i**2 - 50/3*i**3. Solve g(k) = 0.
-14, -1, -2/3
Let s(f) be the second derivative of 5/3*f**3 + 1/6*f**6 - 1/2*f**5 - 5/2*f**2 + 0*f**4 + 0 + 42*f. Determine n so that s(n) = 0.
-1, 1
Let q be (-93)/(-11) - 666/(-1221). Let a(r) be the third derivative of 0*r**3 + 1/90*r**5 + 0*r - q*r**2 + 1/6*r**4 + 0. Factor a(c).
2*c*(c + 6)/3
Let t(u) = 9*u**2 + 162*u - 564. Let d be t(-21). Find r such that -120 + 54/5*r**2 + 36*r + 3/5*r**d = 0.
-10, 2
Suppose -3*u = -5*a + 19, 4*u + 5*a - 2 - 31 = 0. Solve -55*n**3 - 21*n**4 + 36*n**4 - 4*n**2 - 16*n**u = 0.
-1/3, 0, 4
Factor 96*r - 16*r**2 - 204*r + 9 - 2*r**3 + 31 + 86*r.
-2*(r - 1)*(r + 4)*(r + 5)
Suppose -3*l + 33 = -9. Suppose q - 41 = -5*b, 10 = 4*b + 3*q - l. Factor 16*a - 11*a + 2*a**2 - b*a.
2*a*(a - 2)
Suppose -2*s - k = 4, -86*s = -89*s - k - 2. Let m(b) be the first derivative of 9 + 0*b + b**s + 7/4*b**4 + 7/3*b**3 + 2/5*b**5. Find r, given that m(r) = 0.
-2, -1, -1/2, 0
Let w(h) be the first derivative of 2*h**3/21 - 496*h**2/7 + 123008*h/7 + 554. Suppose w(c) = 0. Calculate c.
248
Let n(v) be the first derivative of 98/25*v**5 - 49/15*v**6 - 24/5*v + 214 + 286/15*v**3 + 249/10*v**4 - 4*v**2. What is q in n(q) = 0?
-1, -2/7, 2/7, 3
Let i be -20 - (337353/(-6472) + 2 + 30). Factor 31/8*q**2 + 147/2 - 35*q - i*q**3.
-(q - 14)**2*(q - 3)/8
Let a(r) = r**2 + 5*r + 6. Let k be a(-4). Solve -23*x + 35*x - 45*x**3 + 48*x**2 + 6*x**4 + 6*x**4 - 12*x**k = 0.
-1/4, 0, 2
Let q = 1864/325 + -73/13. Let r(f) be the second derivative of 0*f**3 - 15*f + 0*f**2 + q*f**5 - 2/15*f**4 + 0 - 2/75*f**6. Factor r(o).
-4*o**2*(o - 2)*(o - 1)/5
Let m = 170833/9 + -18981. Let k(j) be the first derivative of 8/3*j**2 + m*j**3 + 4*j - 7. Let k(c) = 0. What is c?
-3, -1
Suppose 0 = 2*t - 62 + 24. Let r(z) = z**3 - 19*z**2 + 5*z - 92. Let c be r(t). Factor 49/8*h**c - 1 - 63/4*h**2 + 15/2*h.
(h - 2)*(7*h - 2)**2/8
Let s = 3722 + -18603/5. Solve -2/5*h**2 + 2/5 + s*h - 7/5*h**3 = 0.
-1, -2/7, 1
Let d(v) = 6*v**2 - 11*v - 24. Let r be d(-3). Suppose 17*w + 29 - r = 0. Factor 8/9*q**w - 10/9 - 38/9*q.
2*(q - 5)*(4*q + 1)/9
Suppose 146*s - 48 - 15/2*s**4 + 438*s**2 + 323/2*s**3 = 0. What is s?
-2, -2/3, 1/5, 24
Let v(a) be the first derivative of 33*a**4/4 + 69*a**3 - 153*a**2 - 480*a + 5011. Factor v(u).
3*(u - 2)*(u + 1)*(11*u + 80)
Suppose u = 3*u - 6. Let x = -2012 - -2014. Factor 3*h**3 + 84 - u*h**x - 84 - 9*h**2.
3*h**2*(h - 4)
Let q = 2126 + -1267. Let l = -3433/4 + q. Factor -l - g**2 + 13/4*g.
-(g - 3)*(4*g - 1)/4
Let o(u) be the first derivative of -u**3/3 + 361*u**2 - 130321*u - 2432. Let o(b) = 0. What is b?
361
Let 538*u + 37*u**2 + 33*u**2 - 40 + 46 - 823*u + 219 = 0. What is u?
15/14, 3
Let -18*a - 1/2*a**4 + 16*a**2 + 0 - 5/2*a**3 = 0. What is a?
-9, 0, 2
Let o be (63 - 65)/(1*14) + (-64)/(-28). Factor 0 - 9/7*b**3 + o*b**2 - 3/7*b**4 + 3/7*b**5 - 6/7*b.
3*b*(b - 1)**3*(b + 2)/7
Let g = -37 + 42. Suppose 4*n = g*n - 71. Let 39 - 96*l + 9 + 147*l**4 - n*l**2 - 288*l - 672*l**3 + 1007*l**2 = 0. Calculate l.
2/7, 2
Let l(c) = -c**2 - 5*c. Let q(g) = g**2 + 6*g. Let s(m) = -4*l(m) - 3*q(m). Let d(v) = -3*v**2 - 21*v - 9. Let y(o) = -2*d(o) - 2*s(o). Factor y(a).
2*(a + 9)*(2*a + 1)
Suppose -8 - 13 = -3*f. Let h be (-1 + 2 - 0) + f. Solve 5 + 8*y - h*y**3 - 17 + 5*y**2 - 4*y**4 + 11*y**2 = 0 for y.
-3, -1, 1
Factor -1/3*w**3 - 56/3 - 38/3*w + 17/3*w**2.
-(w - 14)*(w - 4)*(w + 1)/3
Suppose 988/5 + 89/5*o + 1/5*o**2 = 0. Calculate o.
-76, -13
Let v(c) be the third derivative of -5*c**8/84 + 4*c**7/15 + 4*c**6/15 - 14*c**5/15 - c**4/2 + 138*c**2 - c. What is r in v(r) = 0?
-1, -1/5, 0, 1, 3
Let g(p) be the second derivative of -1/8*p**4 + 1/20*p**6 - 1/40*p**5 + 0 + 89*p + 0*p**2 + 1/84*p**7 + 0*p**3. Factor g(c).
c**2*(c - 1)*(c + 1)*(c + 3)/2
Let c be (-6)/18*(-27)/3. Factor -71*m**2 + 0*m**4 + 10*m + 13*m**c + 16*m**2 - 2*m**4 + m**4 + 65*m.
-m*(m - 5)**2*(m - 3)
Let d(j) be the first derivative of j**3/3 - 55*j**2/2 + 5778. Factor d(o).
o*(o - 55)
Let o be ((-21)/(-2))/((-27)/(-414)). Let i be (-6)/(252/o) + 4. Suppose 1/2*p**2 - 1/6*p**3 - 1/6*p**4 - 1/3 + i*p = 0. Calculate p.
-2, -1, 1
Let x(l) = -55*l**3 - 1379*l**2 - 102*l - 48. Let y be x(-25). Solve 1/2*t - 1/4*t**y - 1/4 = 0.
1
Let f = 3585 - 3582. Let s(n) be the first derivative of -7 + 5/3*n**f + 0*n - 5/2*n**2. Factor s(a).
5*a*(a - 1)
Let k(s) = -25*s**2 + 1128*s + 1125. Let t(b) = 7*b**2 - 376*b - 375. Let f(a) = 2*k(a) + 7*t(a). Solve f(r) = 0.
-375, -1
Let k(y) be the second derivative of -2/15*y**6 + 4/5*y**5 - 4*y**3 + 0*y**2 - 11 + 3*y - 1/3*y**4. Factor k(v).
-4*v*(v - 3)*(v - 2)*(v + 1)
Let z(y) be the third derivative of y**5/210 + 31*y**4/84 + 81*y**2 - 1. Factor z(w).
2*w*(w + 31)/7
Let g be 18/(-4)*(-10)/(-15). Let h = g - -44. Suppose 72*i + 48 + 31*i**3 + h*i**2 - 28*i**3 - 14*i**2 = 0. Calculate i.
-4, -1
Let l(h) be the first derivative of h**4/12 - 5