 - 50482 + 25678*c**2 + 1706851 + 71*c**4 + 285366*c + 155405*c - 49523*c + 304*c**3.
(c + 9)**2*(c + 143)**2
Let b(z) = 3*z + 43. Let t be b(-13). Let -8*r**2 + 1636*r**3 - 1621*r**3 - 5*r - t*r**4 + 2*r = 0. Calculate r.
-1/4, 0, 1, 3
Let z(n) be the third derivative of -2 - 3/20*n**5 + 0*n**3 - 1/112*n**8 + 0*n + 1/10*n**7 - 13/40*n**6 + 9/4*n**4 - 3*n**2. Solve z(c) = 0 for c.
-1, 0, 2, 3
Let v(z) = -4 - 2 + 23*z + 4 - 22*z. Let x be v(7). Factor -o**x + 4*o**3 - 2*o**3 + 2*o**5 - 3*o**5.
-2*o**3*(o - 1)*(o + 1)
Let c(q) be the first derivative of q**4/8 + 41*q**3/6 - 33*q**2 + 750. Suppose c(f) = 0. Calculate f.
-44, 0, 3
Let k = 3652 + -3649. Let v(p) be the first derivative of 1/20*p**5 + 0*p**4 - 1/12*p**k + 9 + 0*p + 0*p**2. Suppose v(c) = 0. Calculate c.
-1, 0, 1
Let m be (0 + 1)/((-35)/(-105)). Let 4*w**2 - m*w**3 + 30*w + 0*w**2 + 24 - 6*w**2 + 5*w**2 = 0. Calculate w.
-2, -1, 4
Solve -143*d + 77*d**2 + 463*d - 128*d**2 + 22*d**2 + 24*d**2 + 1725 = 0 for d.
-5, 69
Let a(j) be the third derivative of 47/36*j**4 + 2 - 46/9*j**3 - 55*j**2 + 0*j - 1/90*j**5. Factor a(p).
-2*(p - 46)*(p - 1)/3
Let i be ((-4)/3)/(8/(280/315) - (-1 + 14)). Factor -2*q - i*q**3 + 0 - 5/3*q**2.
-q*(q + 2)*(q + 3)/3
Let m be 6 + (0 - 0 - 9) + 6. Let p(a) be the second derivative of 24*a - 1/60*a**6 + 0 + 4/3*a**m + 0*a**2 - 1/3*a**4 - 7/40*a**5. Solve p(l) = 0 for l.
-4, 0, 1
Let c(f) be the second derivative of -f**4/36 - 11*f**3/2 - 2600*f. Determine l so that c(l) = 0.
-99, 0
Let s(y) be the third derivative of -y**8/28 - 68*y**7/105 - 83*y**6/30 - 4*y**5/5 + 50*y**4/3 + 64*y**3/3 + 5525*y**2. Let s(p) = 0. Calculate p.
-8, -2, -1/3, 1
Let -1335/4*f**3 + 0 + 149187/4*f - 147849/4*f**2 - 3/4*f**4 = 0. Calculate f.
-223, 0, 1
Let c = 62109 + -62109. Factor c + 1/2*u**2 + 9/2*u.
u*(u + 9)/2
Let a(s) = 10*s - 198. Let f be a(20). Factor -21*d**2 - 41*d**2 - 6*d - 10*d**3 + 46*d**f.
-2*d*(d + 1)*(5*d + 3)
Let l(i) = 12*i**3 - 489*i**2 - 1918*i - 35. Let y(a) = 51*a**3 - 1956*a**2 - 7674*a - 147. Let z(s) = -21*l(s) + 5*y(s). Factor z(b).
3*b*(b + 4)*(b + 159)
Let l = -159297/7 + 22757. Solve l*u**5 - 2/7*u**2 - 4*u - 2*u**4 + 16/7 + 26/7*u**3 = 0 for u.
-1, 1, 2, 4
Let d(c) be the first derivative of -2/15*c**3 + 3/5*c**4 + 61 - 6/5*c**2 + 0*c + 2/25*c**5. Suppose d(k) = 0. What is k?
-6, -1, 0, 1
Suppose -11*j - 4*j = -75. Suppose 5*z - j - 6 = -3*w, 0 = -5*w - 4*z + 14. Let 6*q + q**2 - 12*q - 7*q**w + 8*q = 0. What is q?
0, 1/3
Let u(v) be the third derivative of 0*v + 1/4*v**5 + 49*v**2 + 0 + 0*v**3 - 1/24*v**6 + 5/6*v**4. What is l in u(l) = 0?
-1, 0, 4
Let s(z) be the first derivative of -5*z**3/3 - 3550*z**2 - 2520500*z - 131. Factor s(u).
-5*(u + 710)**2
Let r = -3 - -18. Solve -3*p**5 - 9*p**3 + 12*p - 6*p**4 - 17*p**4 + r*p**2 + 8*p**4 = 0.
-4, -1, 0, 1
Let v = 357 - -51. Determine b, given that 26 - 14 - 2 - v*b + 1156*b**2 + 26 = 0.
3/17
Let p = -57 + 55. Let h(v) = -27*v**3 - 12*v**2 + 15*v - 3. Let j(z) = 27*z**3 + 11*z**2 - 15*z + 3. Let t = -57 - -54. Let y(q) = p*h(q) + t*j(q). Factor y(d).
-3*(d + 1)*(3*d - 1)**2
Let f = 106 + -102. Factor -16*a**4 - 4*a**4 - 13*a**4 + 5*a**4 - 76*a**3 + 4*a**5 - 40*a**2 - 4*a**f.
4*a**2*(a - 10)*(a + 1)**2
Let j be ((-210)/175 - 33/(-15))*0. Let w(o) be the second derivative of 1/18*o**3 - 1/60*o**5 + 7/72*o**4 - 7/180*o**6 + 0 + j*o**2 - 3*o. Factor w(n).
-n*(n - 1)*(n + 1)*(7*n + 2)/6
Let j(s) = -s**3 - 4*s**2 + 12*s + 4. Let k be j(-6). Factor -16*o**4 - 125*o + 9*o**k + 2*o**4 + 45*o**3 - 75*o**2.
-5*o*(o - 5)**2*(o + 1)
Suppose 4*y + 8 = 16. Solve -3*s - 13*s**2 - s**4 - 9*s + 7*s**3 + 7*s + 18 + y*s = 0.
-1, 2, 3
Let r = 3681 - 3681. Let p(z) be the second derivative of r - 1/12*z**5 + 0*z**2 + 5/18*z**3 + 0*z**4 - 20*z. Solve p(l) = 0 for l.
-1, 0, 1
Factor -3057620 + 25*x**2 + 42*x**2 + 36*x**2 + 7820*x - 108*x**2.
-5*(x - 782)**2
Let g(b) be the second derivative of b**4/6 + 632*b**3/3 - 633*b**2 + 2892*b. Factor g(n).
2*(n - 1)*(n + 633)
Let j(h) be the first derivative of -4*h**6/17 + 326*h**5/85 - 2*h**4/17 - 310*h**3/17 - 206*h**2/17 + 160*h/17 - 3341. Suppose j(s) = 0. Calculate s.
-1, 1/4, 2, 40/3
Let c(n) be the first derivative of n**6/27 - 16*n**5/5 + 137*n**4/9 - 88*n**3/9 - 275*n**2/9 + 136*n/3 - 10651. Find s such that c(s) = 0.
-1, 1, 3, 68
Let b(k) be the second derivative of -k**4/36 + 13*k**3/18 - 5*k**2 + 1124*k. Determine o, given that b(o) = 0.
3, 10
Let d = -1172928/7 - -167596. Factor -4/7*m**3 + 3844/7 - d*m**2 - 3596/7*m.
-4*(m - 1)*(m + 31)**2/7
Let b(y) be the second derivative of -11 + 0*y**3 - 2/21*y**7 + 2*y + 0*y**6 + 4/5*y**5 + 0*y**2 + 0*y**4. Determine l so that b(l) = 0.
-2, 0, 2
Let f(d) be the first derivative of d**6/3 - 236*d**5/5 + 3361*d**4/2 + 4720*d**3 + 3600*d**2 - 768. What is g in f(g) = 0?
-1, 0, 60
Let w be (-2 - 136/(-70))*(-91)/156. Let k(s) be the second derivative of 0*s**2 + 17*s + 1/63*s**7 + 0*s**3 + 0 + 0*s**4 + 0*s**6 - w*s**5. Factor k(i).
2*i**3*(i - 1)*(i + 1)/3
Let l be 27 - -1*-1*(4 - 2). Suppose 3*c = 5 + l. Factor c*d + 9*d - 28*d**3 - 32*d**2 - 3*d + 20*d**4.
4*d*(d - 2)*(d + 1)*(5*d - 2)
Let v(o) = -2*o**3 - 4*o**2 - 7*o - 9. Let y be v(-2). Factor 8*c**2 - 4*c**2 - y*c**2 - 7*c**2 + 4*c**3.
4*c**2*(c - 2)
Solve 16/3*j**2 - 64 + 2/9*j**3 - 530/9*j = 0.
-32, -1, 9
Let b(y) be the first derivative of -5/3*y**2 + 2/9*y**3 - 36 - 28/3*y. Find r, given that b(r) = 0.
-2, 7
Let c(m) = -2*m**2 - 481*m + 973. Let x(a) = 9*a**2 + 1922*a - 3891. Let p(b) = -11*c(b) - 3*x(b). What is g in p(g) = 0?
-97, 2
Let m(i) be the second derivative of -5*i**4/36 + 335*i**3/9 - 665*i**2/6 - 3*i - 25. Factor m(b).
-5*(b - 133)*(b - 1)/3
Let 285*o - o**3 - 148*o - 137*o - 2*o**2 = 0. Calculate o.
-2, 0
Let o = -27 + 29. Let o*k**2 + 96*k + 169 - k**2 - 70*k = 0. What is k?
-13
Let z(b) be the second derivative of -15*b - 1/15*b**5 - 26/27*b**3 - 5 + b**2 - 1/135*b**6 + 4/9*b**4. Factor z(s).
-2*(s - 1)**3*(s + 9)/9
Let i(v) = 42*v + 170. Let a be i(-4). Factor -2*u + 48*u**2 - 27*u**a - 16*u**2 - u**3 - 4*u.
-u*(u - 3)*(u - 2)
Let v be (-99381)/(-126) + (-27)/(-63). Let u = -789 + v. Factor 2/3*y**3 - 1/6*y**4 - u + 2/3*y - y**2.
-(y - 1)**4/6
Let f(w) be the second derivative of w**7/840 + w**6/48 - 3*w**5/20 + w**4/6 - 5*w**2/2 - 78*w. Let l(x) be the third derivative of f(x). Factor l(o).
3*(o - 1)*(o + 6)
Let p be 2745/183 + 335/(-24). Let b(t) be the third derivative of 0 - p*t**4 + 0*t - 1/3*t**5 - 1/24*t**6 - 5/3*t**3 + 3*t**2. Find u such that b(u) = 0.
-2, -1
Let k(z) be the third derivative of 0*z + 1/60*z**6 - 135*z**2 + 13/180*z**5 - 2/9*z**3 + 0 + 0*z**4. Factor k(j).
(j + 2)*(2*j - 1)*(3*j + 2)/3
Let z = -544/53 - -1844/159. Let u(r) be the second derivative of -1/75*r**6 - 3/5*r**4 + 4*r + 0 - 8/5*r**2 + z*r**3 + 7/50*r**5. Let u(d) = 0. Calculate d.
1, 2
Let r(a) = -a**2 - 7*a + 2. Let i be r(-7). Suppose 0 = -i*c + 14 + 10. Factor -3*q**3 - 21*q**2 + c*q - 20 - 57*q - 7.
-3*(q + 1)*(q + 3)**2
Let c(n) = 38*n**2 + 425*n + 79. Let k be c(-11). Factor -2/5*a**2 + 12/5 - k*a.
-2*(a - 1)*(a + 6)/5
Let r(k) be the first derivative of -4/5*k**5 - 5/2*k**2 + k**4 + 1/6*k**6 - 239 + 2*k + 2/3*k**3. Factor r(t).
(t - 2)*(t - 1)**3*(t + 1)
Let r(x) be the third derivative of 108*x**2 + 7/45*x**5 + 0 - 1/180*x**6 - 5/3*x**4 + 8*x**3 + 0*x. Determine i so that r(i) = 0.
2, 6
Let i(v) = v**3 - 3*v**2 - 34*v + 98. Let s be i(6). Let 8/3*f + 3 - 1/3*f**s = 0. What is f?
-1, 9
Let d(b) be the first derivative of b**6/18 + 65*b**5/3 + 27823*b**4/12 + 229423*b**3/9 + 188336*b**2/3 + 174748*b/3 - 8620. Let d(p) = 0. What is p?
-158, -7, -1
Let m(u) be the first derivative of u**6/6 + 13*u**5/4 - 145*u**4/12 + 25*u**3/2 - 60*u + 45. Let t(j) be the first derivative of m(j). Factor t(i).
5*i*(i - 1)**2*(i + 15)
Suppose -41*q + 47*q = 66. Let i(n) = 5*n**3 - 56*n**2 + 9*n + 24. Let o be i(q). Factor 2/7*h**o + 0 + 8/7*h**5 + 18/7*h**3 + 22/7*h**4 - 2/7*h.
2*h*(h + 1)**3*(4*h - 1)/7
Suppose 1152 = 11*c + 1130. Let d = 819 + -583. Suppose -109*g**c - 5*g**3 + 169*g**2 + 56*g - d*g = 0. Calculate g.
0, 6
Factor -30*u + 3/5*u**2 + 0.
3*u*(u - 50)/5
Suppose 0 = 5*m + 22*l - 158 - 138, -49 = -5*m - 3*l. Factor 5/7*c - 1/7*c**m + 6/7.
-(c - 6)*(c + 1)/7
Let d = 43 + -