i) = -i**3 - 15*i**2 + 8. Let t be w(0). Let g be t/(-45) - (-6)/15. Factor -4/9*d**2 + 4/9 + g*d**3 - 2/9*d.
2*(d - 2)*(d - 1)*(d + 1)/9
Let x = 832135 - 832129. Factor 7/2*j + 1/2*j**2 + x.
(j + 3)*(j + 4)/2
Let u(x) be the first derivative of 0*x - 2/3*x**3 - 1/8*x**4 - 77 - 3/4*x**2. Factor u(g).
-g*(g + 1)*(g + 3)/2
Suppose 11 = 3*s + 11. Suppose s*w - w = -14. Determine q, given that -5*q**2 + 19 - 21*q**3 - w + 26*q**3 - 5*q = 0.
-1, 1
Let g be (9/(-10))/(19/13300*-24). Solve -32*w**4 + g*w**5 + 0 + 7/4*w**3 + 5*w**2 - w = 0 for w.
-2/5, 0, 2/7, 1/3, 1
Let l = -11 - -17. Let v(o) be the first derivative of 4*o**3 + 7 - l*o**3 + 2*o**3 + o**3. Suppose v(w) = 0. What is w?
0
Let k(c) = c**3 - 5*c**2 + 3*c - 7. Let x be k(5). Suppose x*j - 21 = -5. Solve -44*f**3 + 33*f**2 + 29*f - 8 + 15*f + 38*f**j - 11*f**2 - 52*f**4 = 0.
-1, 2/13, 1
Let w(h) be the third derivative of h**5/14 + 24*h**4/7 - 80*h**3/7 + 1916*h**2. Factor w(l).
6*(l + 20)*(5*l - 4)/7
Let g(j) = -324*j**2 + 6482*j - 35. Let o be g(20). Suppose 4/3*d - 2/3*d**o + 0 + 10/3*d**2 + 2*d**3 - 2/3*d**4 = 0. Calculate d.
-1, 0, 2
Let n(p) = -37*p**4 + 224*p**3 - 699*p**2 + 473*p + 78. Let j(c) = 17*c**4 - 112*c**3 + 349*c**2 - 236*c - 36. Let s(g) = -13*j(g) - 6*n(g). Factor s(d).
d*(d - 2)*(d - 1)*(d + 115)
Let a(l) = -17*l**2 - 662*l - 110891. Let p(m) = -76*m**2 - 2646*m - 443565. Let f(i) = 36*a(i) - 8*p(i). Factor f(h).
-4*(h + 333)**2
Suppose 5*s - s = 2*j + 382, -5*s = -4*j - 482. Let v = -281/3 + s. Find n, given that v*n**2 + 4/3*n + 0 = 0.
-4, 0
Let -7*y**2 + 2/5*y**4 + 23/10*y**3 + 0 + 8/5*y = 0. What is y?
-8, 0, 1/4, 2
Find r such that -67*r + 30*r**2 - 39*r - 20 + 101*r - 40*r + 5*r**3 - 50 = 0.
-7, -1, 2
Let b(f) = 18*f + 215. Let h(y) = -y - 7. Let r(j) = -b(j) - 5*h(j). Let w be r(-14). Factor -1/10*l**3 - 1/5*l**4 + 0*l + 3/10*l**w + 0.
-l**2*(l - 1)*(2*l + 3)/10
Let p = 40 + -38. Let i be 4 - (-5 + p)/(-3). Factor -13*s**4 - 3*s**i - 5*s**3 + 7*s**2 - s**2 - s**4.
-2*s**2*(s + 1)*(7*s - 3)
Let w(c) be the first derivative of -c**4/30 + 4*c**3/15 - 4*c**2/5 - 197*c - 62. Let j(b) be the first derivative of w(b). Solve j(o) = 0 for o.
2
Let v(s) be the third derivative of s**6/180 + 5*s**5/18 - 73*s**4/18 + 40*s**3/3 - 1351*s**2. Factor v(z).
2*(z - 4)*(z - 1)*(z + 30)/3
Determine c, given that -1/6*c**3 + 0 + 2*c**2 + 14/3*c = 0.
-2, 0, 14
Let k(c) = 8*c - 82. Let n(j) = 5*j - 82. Let u(o) = 3*k(o) - 2*n(o). Let v be u(6). Factor 0 - 3/2*a**v - 6*a.
-3*a*(a + 4)/2
Let t(p) be the second derivative of -1/3*p**4 - 882*p**2 - 3 - 2*p + 28*p**3. Suppose t(f) = 0. What is f?
21
Factor 4/7*q**2 + 128/7*q + 100.
4*(q + 7)*(q + 25)/7
Suppose 0 = -3*u + 4*u - 9. Suppose -11 = -5*l + u. Find a, given that -2*a**3 + 0*a**3 - 1 - 32*a**2 - l*a**5 + 10*a**3 - 7 + 28*a + 8*a**4 = 0.
-2, 1
Let q(p) be the first derivative of 2*p**5/65 - 459*p**4/26 + 46818*p**3/13 - 3581577*p**2/13 + 877. Factor q(k).
2*k*(k - 153)**3/13
Let g(o) be the second derivative of 0*o**2 + 1/75*o**6 + 120*o - 1/30*o**3 + 1/210*o**7 + 0*o**5 + 0 - 1/30*o**4. Factor g(f).
f*(f - 1)*(f + 1)**3/5
Let n(g) be the third derivative of -17/8*g**4 - 1/40*g**6 + 0 - 11*g**2 + 1/2*g**5 + 0*g + 4*g**3. Let n(z) = 0. Calculate z.
1, 8
Let w(v) be the third derivative of v**9/25704 + v**8/3570 - v**7/2380 - v**6/170 + 53*v**3/3 + 32*v**2. Let g(y) be the first derivative of w(y). Factor g(u).
2*u**2*(u - 2)*(u + 3)**2/17
Let i(h) be the first derivative of 12/5*h**5 + 44*h**3 + 18*h**2 - 154 + 19*h**4 + 0*h. Factor i(y).
4*y*(y + 3)**2*(3*y + 1)
Let o be (0 - 0)*(0 - -1). Let x be 14 + (7 - ((-2450)/280)/((-6)/8))*3. Factor o*h - 10/11*h**2 + x + 2/11*h**3.
2*h**2*(h - 5)/11
Let n = 734 + -731. Let 16*w + 3*w**4 - 15*w**3 + 0*w**4 - 11*w**4 + 8*w**2 + n - 3 - w**5 = 0. What is w?
-4, -1, 0, 1
Let l(a) be the second derivative of -a**7/315 + a**6/75 - 2*a**4/45 + 95*a - 4. Factor l(j).
-2*j**2*(j - 2)**2*(j + 1)/15
Suppose -v - 450 - 638 = -5*k, -1096 = -5*k - 3*v. Determine q, given that -12*q**2 - 24 + 230*q**3 + 4*q**4 - 44*q + 2*q**2 - k*q**3 - 2*q**2 = 0.
-3, -1, 2
Let x be (44/66 - 1/(-3))/((-6)/(-4)). Let j = 49 - 47. Factor x*n**3 + 8/3 + 0*n - 2*n**j.
2*(n - 2)**2*(n + 1)/3
Let p(f) be the first derivative of -4*f**3/3 + 14*f**2 - 48*f + 2088. Suppose p(m) = 0. What is m?
3, 4
Let j = 146 + -141. Determine w so that -70*w**3 - 13*w**4 + w**4 - 45*w**j + 60*w**2 + 40*w - 123*w**4 = 0.
-2, -1, -2/3, 0, 2/3
Let v(q) be the second derivative of -1/18*q**4 - 7/18*q**3 + 1/10*q**5 + 1/18*q**6 - 1/2*q**2 + 1/126*q**7 + 0 + 35*q. Determine y, given that v(y) = 0.
-3, -1, 1
Suppose -120 = -65*f + 41*f. Suppose 2*p + 4 = 3*w, -3*p = 5*w - f - 8. Factor 1/2*s**w + 0 + 1/3*s + 1/6*s**3.
s*(s + 1)*(s + 2)/6
Let o(k) be the third derivative of 0*k**3 - 1/600*k**6 + 0*k**4 - 159*k**2 + 1/100*k**5 + 0*k + 0. Factor o(b).
-b**2*(b - 3)/5
Let t(m) = 5*m**2 + 6*m - 7. Let u be t(2). Let s = 867 - 162. Factor -5*d**2 - u*d**3 + 705 - s + 5*d**4 + 25*d.
5*d*(d - 5)*(d - 1)*(d + 1)
Let c(k) be the second derivative of k**5/20 - k**4 + 15*k**3/2 - 97*k**2 - 3*k + 52. Let w(p) be the first derivative of c(p). Find y, given that w(y) = 0.
3, 5
Let w = 590944/613415 - 61/2935. Let q = -11/19 + w. Find a, given that -q*a**3 - 2/11 - 2/11*a**4 + 4/11*a**2 + 2/11*a**5 + 2/11*a = 0.
-1, 1
Factor 120421 - 120421 - 130*n + 1050*n - 4*n**2.
-4*n*(n - 230)
Let g be (6279/(-92) + 68)/(3/(-3)). Factor -9/4*u - 1 - 3/2*u**2 - g*u**3.
-(u + 1)**2*(u + 4)/4
Let m be 2*(-8)/24*9/(-2). What is d in 4*d**4 - 6*d**m - 8*d**3 + 4*d**3 - 6*d**4 - 16*d**2 - 8*d = 0?
-2, -1, 0
Let b(j) be the second derivative of -7*j**6/2 + 237*j**5/20 + 7*j**4/2 - 38*j**3 + 36*j**2 - 4148*j. Find i such that b(i) = 0.
-1, 2/5, 6/7, 2
Let s(o) = o**2 - 9*o + 14. Let a be s(8). Let z be ((-4)/(-18))/(4 + (-22)/a). Determine u, given that 2/3 + 8/3*u + z*u**4 + 4*u**2 + 8/3*u**3 = 0.
-1
Solve -1845 - 4949*m**2 + 4773*m**2 + 3509 + 4*m**3 + 1484*m = 0 for m.
-1, 13, 32
Let d be -11 - -7 - (-3 + -5). Suppose -2*w = -d*t + w + 17, 5*t - 27 = -2*w. Factor -6*h**2 + 32*h - h**3 + 0*h**2 + t*h**2 - 30*h.
-h*(h - 1)*(h + 2)
Suppose 2*h + 14 - 4 = 3*t, h - 2*t = -4. Let s be ((-3 - -4) + -2)/h. Factor -s*g**3 - 1/8*g**5 + 1/4*g**4 + 0*g + 0 + 0*g**2.
-g**3*(g - 1)**2/8
Let y be 61/60 + (-155)/155. Let f(k) be the third derivative of y*k**5 + 0 - 2/3*k**3 + 0*k + 1/8*k**4 - 24*k**2. Find z such that f(z) = 0.
-4, 1
Let a(i) be the first derivative of -40*i + 1/16*i**4 - 8*i**2 - 1/6*i**3 + 307. Factor a(m).
(m - 10)*(m + 4)**2/4
Let l(u) = 2*u**2 - 7*u + 8. Let v be l(4). Factor 25*m + v*m**4 - 46*m**3 - 4*m - m**5 + 60*m**2 - 46*m.
-m*(m - 5)**2*(m - 1)**2
Let d(c) = -36*c**2 + 22*c**2 - 10 - 19 + 15*c**2 + 23*c. Let h(b) = -b**2 - 11*b + 14. Let s(x) = -2*d(x) - 5*h(x). Factor s(q).
3*(q - 1)*(q + 4)
Let y(x) be the first derivative of x**5/25 - 3*x**4/4 - 18*x**3/5 - 2*x**2/5 + 72*x/5 - 1256. Find k such that y(k) = 0.
-2, 1, 18
Factor -34*a - 16*a**3 - 214*a**5 - 158*a + 441*a**5 - 176*a**2 + 20*a**4 - 223*a**5.
4*a*(a - 3)*(a + 2)**2*(a + 4)
Let o(y) be the second derivative of 0*y**2 - 1/15*y**6 + 1/5*y**5 + 2/3*y**4 + 141*y + 0 - 8/3*y**3. Determine m, given that o(m) = 0.
-2, 0, 2
Let c = 28 - 25. Let u be -2*c/9*-3. Factor u*p + 2*p**2 - 6*p**2 - 8*p + 2*p.
-4*p*(p + 1)
Let h be (48/30 - 2)/((-6)/10). Let i(m) be the second derivative of -2/3*m**3 - 1/5*m**5 - 15*m - h*m**4 + 0 + 0*m**2. Determine o, given that i(o) = 0.
-1, 0
Determine k, given that 16/7*k + 48/7 - 24/7*k**3 - 36/7*k**2 - 4/7*k**4 = 0.
-3, -2, 1
Let t be ((-220)/1045)/(2/(-19)). Let z(c) be the third derivative of -3/5*c**3 + 0*c + 0 + 25*c**t - 1/8*c**4 + 1/100*c**5. Let z(u) = 0. Calculate u.
-1, 6
Solve -2877*w + 72 + 411*w - 1056 - 70*w**3 - 3*w**4 - 1983*w**2 + 0*w**4 - 434*w**3 = 0.
-164, -2, -1
Let w = 11439439/7 - 1634197. Solve 22/7*o**3 - 14*o - 16/7*o**2 - w = 0 for o.
-1, 30/11
Let j be ((-3)/1)/((-2 - 1)/9). Suppose j - 6 = f. Solve -5*p - 2*p**4 + 10 + 5*p**3 - 15*p**2 + p**4 + 9*p**4 - f*p**4 = 0.
-2, -1, 1
Let f(y) be the first derivative of 0*y + 22/5*y**5 + 7/2*y**4 + 1/3*y**6 - 98*y**3 - 18 + 0*y**2. Factor f(a).
2*a**2*(a - 3)*(a + 7)**2
Let q(r) be the third derivative of -1/3*