t y(f) be the third derivative of -f**5/480 + 11*f**4/96 - 121*f**3/48 + 2*f**2 - 14*f. Factor y(i).
-(i - 11)**2/8
Let b = 1845 - 1841. Factor -b*k**2 - 4 - 40/3*k.
-4*(k + 3)*(3*k + 1)/3
Factor 38*x**3 - 108*x**2 - 5*x**4 + 2*x**4 - 52 - 44 + 168*x - 8*x**3.
-3*(x - 4)*(x - 2)**3
Factor 0*k**3 + 0*k - 4/5*k**2 + 2/5 + 2/5*k**4.
2*(k - 1)**2*(k + 1)**2/5
Suppose 0 = -3*v - 12 - 69. Let q = -12 - v. What is t in 9*t**3 + 6 - q*t - 5*t**2 - 4*t**2 + 3*t**2 + 6*t**3 = 0?
-1, 2/5, 1
Let q(z) be the second derivative of -4/39*z**3 + 0*z**2 + 0 + 1/78*z**4 + 26*z. Factor q(b).
2*b*(b - 4)/13
Let b(u) be the first derivative of -8 + 0*u - 3/7*u**2 + 3/7*u**3 - 3/28*u**4. Factor b(v).
-3*v*(v - 2)*(v - 1)/7
Let b(k) be the first derivative of k**4/20 + 4*k**3/3 + 117*k**2/10 + 162*k/5 + 39. Factor b(s).
(s + 2)*(s + 9)**2/5
Find b such that 6/7*b + 2/7*b**4 - 6/7*b**3 - 4/7 + 2/7*b**2 = 0.
-1, 1, 2
Suppose -4*s = -3*s. Suppose 3*j + s*j = 6. Solve -9*u + 16*u**j + 1 - 3*u + 12*u**3 - 19 + 2*u**4 = 0 for u.
-3, -1, 1
Let w(k) = -10*k + 402. Let q be w(40). Let g(b) be the second derivative of 1/6*b**4 - 2/27*b**3 + 0*b**q + 6*b + 0. Suppose g(m) = 0. Calculate m.
0, 2/9
Let z(j) = -2*j - 31. Let q(w) = 10. Let p(o) = 11*q(o) + 4*z(o). Let f be p(-2). Factor -18/13 - 2/13*r**f + 12/13*r.
-2*(r - 3)**2/13
Let c(t) be the third derivative of t**7/140 + t**6/60 + t**5/120 + 30*t**2. Suppose c(r) = 0. What is r?
-1, -1/3, 0
Let d(f) be the second derivative of 1/165*f**6 + 288/11*f**3 + 36/11*f**4 + 1296/11*f**2 + 0 + 12/55*f**5 - 7*f. Factor d(l).
2*(l + 6)**4/11
Let d(v) be the third derivative of v**5/270 + v**4/3 + 12*v**3 - 117*v**2. Factor d(j).
2*(j + 18)**2/9
Suppose 0 = -l - 5 + 8. Let q(x) be the second derivative of 0 + 0*x**l - 3*x - 1/24*x**4 + 0*x**2. Factor q(n).
-n**2/2
Let o(m) be the first derivative of m**9/756 + m**8/140 - 2*m**6/45 + 2*m**3/3 + 5. Let y(t) be the third derivative of o(t). Solve y(b) = 0.
-2, 0, 1
Let i = -6 - 0. Let x be 1*(4 - i/(-3)). What is u in -7*u**4 + 5*u**2 + 0*u**4 + 11*u**x - 5*u**3 - 4*u = 0?
-2, 0, 2/7, 1
Let p = -126 - -140. Let t be (-22)/(-5) - 2/5. Factor -a**2 + p*a**2 - 7*a - t*a**3 - a**2 - a.
-4*a*(a - 2)*(a - 1)
Let v(b) be the second derivative of -15*b + 0*b**2 + 0 + 1/6*b**4 + 1/3*b**3 - 1/15*b**6 - 1/10*b**5. Factor v(u).
-2*u*(u - 1)*(u + 1)**2
Let i(b) be the first derivative of b**4/10 - 2*b**3/5 + 2*b**2/5 + 216. Factor i(o).
2*o*(o - 2)*(o - 1)/5
Let q(h) be the first derivative of -5*h**4/12 - 5*h**3/6 + 7*h + 4. Let y(s) be the first derivative of q(s). Suppose y(o) = 0. What is o?
-1, 0
Let q be (-1 - 0) + -3 + 6. Suppose -5*o**2 + o**q - 30 + 34 = 0. What is o?
-1, 1
Let j = -223446/1745 - -87/349. Let l = -127 - j. Find z, given that 18/5*z**2 + 0*z - l*z**3 - 6/5*z**4 - 8/5 = 0.
-2, -2/3, 1
Let g(c) be the first derivative of -1/25*c**5 + 1/2*c**4 + 3 - 12/5*c**3 - 27/5*c + 27/5*c**2. Solve g(i) = 0.
1, 3
Let f be 300/(-50)*1/(-2). Factor 2/11*s**f + 30/11*s + 14/11*s**2 + 18/11.
2*(s + 1)*(s + 3)**2/11
Let d(z) = -z**3 + 12*z**2 - 10*z - 14. Let c be d(11). Let a = c - -9. Find y such that -24*y**2 + a*y**5 + 0 - 8*y - 1 + 20*y**4 + 1 + 6*y**3 = 0.
-2, -1/3, 0, 1
Let h(d) be the second derivative of -17/25*d**5 + 14/15*d**7 - 73/15*d**4 + 0 + 154/75*d**6 - 64/15*d**3 + 15*d - 8/5*d**2. Suppose h(i) = 0. What is i?
-1, -2/7, 1
Let q(f) be the second derivative of 3*f**4/20 + f**3/5 - 3*f**2/10 + 133*f. Factor q(h).
3*(h + 1)*(3*h - 1)/5
Let r be ((-32)/24)/(-3 + 237/81). Let d(x) = -4*x**2 + 32*x + 12. Let q(a) = -a**2. Let m(p) = r*q(p) - 2*d(p). Factor m(z).
-2*(z + 6)*(5*z + 2)
Let u(j) be the third derivative of 7*j**5/15 + 149*j**4/6 + 28*j**3 - 2*j**2 + 9*j. Find z, given that u(z) = 0.
-21, -2/7
Let w(k) be the second derivative of k**6/150 + k**5/25 - 7*k**4/60 - k**3/3 - 87*k. Factor w(t).
t*(t - 2)*(t + 1)*(t + 5)/5
Let v(p) = -2*p**4 - 9*p**3. Let i(y) = y**4 + 4*y**3. Let l = -319 - -329. Let z(g) = -2*g - 10. Let f be z(-7). Let h(r) = f*v(r) + l*i(r). Factor h(n).
2*n**3*(n + 2)
Let n = -272 - -274. Let q(p) be the first derivative of 2 + 4/3*p**3 + n*p - 1/4*p**4 - 5/2*p**2. Suppose q(u) = 0. What is u?
1, 2
Let y be 7/((-245)/(-3))*(-760)/(-171). Solve y + 2/21*a**2 + 8/21*a = 0 for a.
-2
Let s(g) be the second derivative of -g**7/84 + 7*g**6/60 - 9*g**5/20 + 11*g**4/12 - 13*g**3/12 + 3*g**2/4 - 37*g. Factor s(k).
-(k - 3)*(k - 1)**4/2
Factor 3*u + 0 + 1215/2*u**3 - 1221/2*u**2.
3*u*(u - 1)*(405*u - 2)/2
Let v(h) be the second derivative of 0 + 8*h - 1/4*h**4 - 27/2*h**2 + 3*h**3. Factor v(q).
-3*(q - 3)**2
Let i be (-2)/6*(-2 - 1) + 1. Let w be (-3 + 7/i)*0. Factor 0 + w*j - 8/7*j**3 + 2/7*j**2.
-2*j**2*(4*j - 1)/7
Find g, given that 2/19*g + 0 + 2/19*g**2 = 0.
-1, 0
Let y be -6 - (-4 - 93258/(-42)). Let p = y - -2226. Factor -p*q**2 + 10/7*q - 1/7.
-(5*q - 1)**2/7
Let l(f) be the second derivative of -f**6/240 + f**5/60 + f**4/16 + 24*f**2 + 52*f. Let j(v) be the first derivative of l(v). Let j(m) = 0. Calculate m.
-1, 0, 3
Let p(g) be the second derivative of g**4/20 - 7*g**3/2 - 54*g**2/5 - 155*g. Determine o, given that p(o) = 0.
-1, 36
Let m be (4 + 1)*(-7)/35*-2. Find o, given that -28*o + 3*o**2 - 40 - 3*o**m + o**2 - 5*o**2 = 0.
-5, -2
Let q(u) be the third derivative of u**6/150 + 4*u**5/75 - 11*u**4/30 + 4*u**3/5 - 314*u**2. Suppose q(m) = 0. Calculate m.
-6, 1
Suppose 240*j + 84 - 14*j**3 + j**3 - 14*j**3 + 153*j**2 = 0. Calculate j.
-2/3, 7
Factor 137*i**3 + 247 + 6*i**3 + 521 + 1128*i - 3*i**4 + 540*i**2 - 65*i**3.
-3*(i - 32)*(i + 2)**3
Suppose -o + 4*p = p - 105, 2*o = 5*p + 207. Solve -11*n + o*n**4 + 24*n**5 + 30*n**2 - 4 - 2*n**4 - 3*n + 110*n**3 = 0.
-2, -1, -1/4, 1/3
Suppose 3*s + 8 - 14 = 0. Determine b, given that -3*b**2 + 9*b**s - 2*b**2 - 2*b - 2*b = 0.
0, 1
Factor -24*r - 6*r + 35 + 803*r**2 - 1605*r**2 + 797*r**2.
-5*(r - 1)*(r + 7)
Let r(w) = -25*w - 1. Let a(i) = 6*i. Let f(k) = 26*a(k) + 6*r(k). Let v(t) = -t**3 + 1. Let h(g) = -2*f(g) - 4*v(g). Factor h(z).
4*(z - 1)**2*(z + 2)
Let x(f) be the third derivative of -1/780*f**6 + 0 + 21*f**2 + 1/39*f**3 + 0*f - 1/390*f**5 + 1/156*f**4. Factor x(z).
-2*(z - 1)*(z + 1)**2/13
Determine i, given that -42*i - 3/5*i**2 - 735 = 0.
-35
Let d = -38532 - -38535. Find i such that -10/3*i**2 + 10/3*i - 10/3*i**d + 4/3 + 2*i**4 = 0.
-1, -1/3, 1, 2
Let h(o) be the second derivative of -o**6/72 - o**5/3 - 10*o**4/3 - 2*o**3 + 10*o. Let p(x) be the second derivative of h(x). Factor p(w).
-5*(w + 4)**2
Let u(h) = 33*h**2 + 33*h - 3. Let l(t) be the second derivative of 17*t**4/12 + 17*t**3/6 - t**2 - 8*t. Let v(k) = -9*l(k) + 5*u(k). Factor v(z).
3*(2*z + 1)**2
Suppose 12*i - 32 = 4*i. Let n be -1*13/4 + i. Factor -1/2*k + n - 1/4*k**2.
-(k - 1)*(k + 3)/4
Let y(j) = -3*j**4 + j**3 - 2*j + 2. Let b(n) = -8*n**4 + 24*n**3 + 19*n**2 - 27*n - 14. Let d(l) = 4*b(l) - 12*y(l). Factor d(c).
4*(c - 1)*(c + 1)**2*(c + 20)
Let v = 2/6687 - -2227/6687. Solve j**3 + 1/3*j**5 - v*j**2 - j**4 + 0*j + 0 = 0 for j.
0, 1
Let c(k) = 130*k**3 + 10*k**2 + 5*k + 5. Let i(x) be the third derivative of -x**6/120 + x**4/24 + x**3/6 + 19*x**2. Let g(l) = -c(l) + 5*i(l). Factor g(b).
-5*b**2*(27*b + 2)
Factor -3/2*g**3 - 38025/2*g - 585/2*g**2 - 823875/2.
-3*(g + 65)**3/2
Let i be 132/462 + (-23)/7 + 0. Let h be (-34)/(-8) + i/12. Determine g so that -2/15*g**2 - 2/15*g + 0 + 2/15*g**3 + 2/15*g**h = 0.
-1, 0, 1
Let a(v) be the second derivative of 0*v**4 + 1/15*v**6 - 2*v + 0*v**3 + 4/189*v**7 + 1/45*v**5 + 0 + 0*v**2. Factor a(j).
2*j**3*(j + 2)*(4*j + 1)/9
Let t(y) = 2*y + 17. Let n be t(-5). Suppose m = -5 + n. Determine i, given that -8 + 4*i**m - 3*i**2 + 3*i**2 + 4*i = 0.
-2, 1
Let s(v) = -185*v - 736. Let h be s(-4). What is f in -f + 3/2*f**2 + 0 - 1/2*f**h + 0*f**3 = 0?
-2, 0, 1
Let s(z) = -23*z**3 - 420*z**2 + 441*z - 113. Let d(f) = -300*f**3 - 5460*f**2 + 5735*f - 1470. Let j(w) = 3*d(w) - 40*s(w). Find p, given that j(p) = 0.
-22, 1/2
Suppose -97*c = -41*c - 0*c + 91*c. Determine q so that c - 1/4*q + 1/4*q**2 = 0.
0, 1
Let t(y) be the third derivative of y**8/504 - 8*y**7/945 - y**6/90 + 4*y**5/135 + y**4/36 - 4*y**2 + 1. Determine g, given that t(g) = 0.
-1, -1/3, 0, 1, 3
Factor -5/3*m**2 - m**4 + 0 + 1/3*m + 7