 + l**5.
l*(l - 1)**4
Let q(n) be the third derivative of 1/75*n**5 - 4/15*n**3 + 0*n + 0 + 1/30*n**4 + 9*n**2. Suppose q(b) = 0. Calculate b.
-2, 1
Let w(k) = -3*k**2 - 14 - 2 + 0*k**3 + 0*k**2 - k**3. Let s be w(-4). Let -1/4*h - 3/2*h**3 - 1/4*h**5 + h**4 + s + h**2 = 0. Calculate h.
0, 1
Let l(x) = -29*x**3 + 12*x**2 + 175*x + 257. Let z(m) = -10*m**3 + 4*m**2 + 58*m + 86. Let q(h) = 6*l(h) - 17*z(h). Factor q(w).
-4*(w - 5)*(w + 2)**2
Let w(b) be the third derivative of -1/6*b**4 + 0 - 4/15*b**5 + 0*b + 11*b**2 - 1/84*b**8 + 0*b**3 - 1/5*b**6 - 8/105*b**7. Factor w(u).
-4*u*(u + 1)**4
Let b(k) be the third derivative of 1/3*k**3 + 0*k - 32*k**2 + 1/210*k**5 + 2/21*k**4 + 0. Factor b(c).
2*(c + 1)*(c + 7)/7
Solve -140 + 243*o + 51*o**3 - 10*o**4 + 2*o**4 + 125*o**2 - 23*o - 271*o**3 + 23*o**4 = 0.
-1, 2/3, 1, 14
Suppose 6*c + 14 = 13*c. Solve 8 - 7*w - c*w - w + 8*w - w**2 = 0 for w.
-4, 2
Let u(h) be the third derivative of -h**5/15 - 19*h**4/3 - 722*h**3/3 - 10*h**2. Let u(b) = 0. Calculate b.
-19
Solve -3/4*f**3 - 27/4*f**2 + 0 - 6*f = 0.
-8, -1, 0
Suppose -240 = 2*f + 13*f. Let y(z) = 10*z**4 - 6*z**3 - 16*z + 16. Let h(b) = -2*b**4 + b**3 + 3*b - 3. Let x(r) = f*h(r) - 3*y(r). Factor x(o).
2*o**3*(o + 1)
Suppose -14 + 11 = -y. Determine v, given that 15*v**3 + 4*v**5 - 16*v**2 - 16*v**4 + 4*v + 2*v**3 + 7*v**y = 0.
0, 1
Suppose -25 + 45/2*j**3 + 305/2*j - 240*j**2 = 0. Calculate j.
1/3, 10
Let f(b) be the second derivative of 2*b**4/9 + 79*b**3/9 - 20*b**2/3 + 174*b. Factor f(t).
2*(t + 20)*(4*t - 1)/3
Let o = 11 - 19. Let r be 0 - -1 - o/2. Factor -r*i**2 + 13*i**2 - 7*i**2 - 2*i**3 + i**3.
-i**2*(i - 1)
Factor 0*q + 1/3 - 1/3*q**2.
-(q - 1)*(q + 1)/3
Let t be (1 - 5/(-1425)*-201) + 2/19. Factor 2/5*a**2 - t*a**3 + 2/5*a - 2/5.
-2*(a - 1)**2*(a + 1)/5
Let j(l) be the third derivative of -5*l**8/336 + 4*l**7/21 - l**6/2 - l**5/6 + 65*l**4/24 - 5*l**3 - 2*l**2 + 10*l. Let j(a) = 0. What is a?
-1, 1, 6
Let w(d) = d + 19. Let k be w(-13). Factor m**5 + 9*m**4 + 65*m - 65*m + 2*m**3 + k*m**5.
m**3*(m + 1)*(7*m + 2)
Let a be 6/(-45) - 48/(-160). Let v(r) be the first derivative of 2*r**2 - 6 - a*r**3 - 8*r. Factor v(m).
-(m - 4)**2/2
Let z(o) = 2*o**3 + 9*o**2 - 24. Let u be z(-6). Let w be 2 + 3 + u/30. Suppose 0 + 8/5*y**4 - 4/5*y - 8/5*y**2 + w*y**5 + 1/5*y**3 = 0. Calculate y.
-2, -1, -2/3, 0, 1
Let d(u) be the first derivative of -1/22*u**4 - 27 + 14/33*u**3 - 16/11*u**2 + 24/11*u. Find a, given that d(a) = 0.
2, 3
Let v(r) = r**2 + 2*r. Let s(a) = -a**2 - 4*a + 1. Let n(g) = 2*s(g) + 5*v(g). Let y be n(-1). What is u in -4*u**y + 3 + 3*u + u**3 + 17*u**2 - 20*u**2 = 0?
-1, 1
Let w(c) = -11*c**4 + 70*c**3 - 248*c**2 - 3*c - 3. Let l(v) = -2*v**4 - v**2 - v - 1. Let n(i) = -3*l(i) + w(i). Factor n(k).
-5*k**2*(k - 7)**2
Let p(s) be the first derivative of s**4 + 32*s**3/3 + 14*s**2 - 113. Suppose p(q) = 0. What is q?
-7, -1, 0
Factor 13/3*v**3 - 1/6*v**4 - 13/3*v - 28*v**2 + 169/6.
-(v - 13)**2*(v - 1)*(v + 1)/6
Suppose -2*x + 44 = 2*q + 3*x, -3*q = 2*x - 77. Suppose -3*n + q + 4 = 5*t, -1 = t + 3*n. Suppose -5*j - j**2 + 15*j - t*j = 0. What is j?
0, 2
Factor -32/11*k + 2/11*k**2 + 56/11.
2*(k - 14)*(k - 2)/11
Let n = 1157/5 + -969/5. Let c = n - 181/5. Find z, given that 3/5*z**3 + 0 + 2/5*z - c*z**2 = 0.
0, 1/3, 2
Let o(v) be the first derivative of v**4/16 - 13*v**2/8 + 3*v - 117. Factor o(r).
(r - 3)*(r - 1)*(r + 4)/4
What is o in -6*o**3 - 20*o**2 - 385*o - 18 + 6*o**4 - 343*o - o**5 + 767*o = 0?
-2, 1, 3
Let t(s) = -10*s**2 + 155*s - 675. Let o(q) = -q**2 - q + 1. Let w(k) = -o(k) + t(k). Factor w(u).
-(3*u - 26)**2
Let c(y) be the first derivative of 2*y**3/3 - 25*y**2 - 52*y + 35. Find d such that c(d) = 0.
-1, 26
Determine z so that 9*z**2 - 75*z - 180 - 88*z**3 + z**2 + 93*z**3 = 0.
-3, 4
Suppose -222 = -3*o + c - 220, -o + 10 = 2*c. Factor -2/3*a + 0 + 2/3*a**o + 2*a**4 + 10/3*a**3.
2*a*(a + 1)**2*(3*a - 1)/3
Let m = 40 + -41. Let w(f) = -2*f**4 + 6*f**3 + 4*f**2 - 4. Let l(c) = c**4 + c**3 + c**2 + 1. Let z(k) = m*w(k) - 4*l(k). Factor z(o).
-2*o**2*(o + 1)*(o + 4)
Factor 4/3*t**3 + 0 - 4*t**2 + 8/3*t.
4*t*(t - 2)*(t - 1)/3
Let s = 17711/4 - 4427. Find u such that 3/4*u - 3/4 + 3/4*u**2 - s*u**3 = 0.
-1, 1
Determine s so that -14/5*s + 2/5*s**2 + 12/5 = 0.
1, 6
Factor 0*w - 14/3*w**2 + 0 + 8/3*w**3 - 1/6*w**4.
-w**2*(w - 14)*(w - 2)/6
Factor 5/3*d**2 + 8/3*d + 1/3*d**3 + 4/3.
(d + 1)*(d + 2)**2/3
Let c = -6 - -11. Factor 6 - 3*s**3 + 3*s - s + 10*s**2 + c*s**3 + 12*s.
2*(s + 1)**2*(s + 3)
Let n(d) = -4*d**2 + d - 7. Let a(b) = b**2 - b + 2. Let q(c) = 12*a(c) + 4*n(c). Factor q(j).
-4*(j + 1)**2
Let f(i) be the first derivative of i**4/4 + 7*i**3/6 + 3*i**2/4 - 113. Find p such that f(p) = 0.
-3, -1/2, 0
Factor 4*c**3 - 2*c**3 - 60*c + 4*c**3 - c**3 + 2742 - 2662.
5*(c - 2)**2*(c + 4)
Let d be 11 + -5 + (-5 - 1). Let f(y) be the second derivative of -13/2*y**3 + 3*y**2 + 23/4*y**4 + 4*y - 9/5*y**5 + d. Let f(x) = 0. Calculate x.
1/4, 2/3, 1
Suppose -3*g - 5*q - 25 = 0, 11*q - 8*q = -4*g - 15. Let b = -335/6 - -56. Factor 0*m + g - 1/6*m**3 - b*m**2.
-m**2*(m + 1)/6
Let o(t) = t**2 + 9*t - 10. Let l be o(-10). Let l - 3/8*n**2 + 3/8*n = 0. What is n?
0, 1
Let z(v) be the third derivative of 0*v + 25/2*v**3 + 1/20*v**5 + 0 - 8*v**2 + 5/4*v**4. Factor z(i).
3*(i + 5)**2
Suppose 2*x + 5*w + 16 = 0, 5*x + 4*w + 0 = -6. Let v(k) be the first derivative of 14 - 1/5*k**5 - 1/9*k**6 + 0*k**x + 0*k + 0*k**3 - 1/12*k**4. Factor v(b).
-b**3*(b + 1)*(2*b + 1)/3
Let g(z) be the second derivative of z**6/60 + 3*z**5/40 + 2*z. Determine u so that g(u) = 0.
-3, 0
Factor -1/7*a**3 + 258/7*a**2 + 636056/7 - 22188/7*a.
-(a - 86)**3/7
Solve -88/7 + 4/7*j**2 - 12*j = 0 for j.
-1, 22
Let f(z) be the third derivative of -z**6/12 + 7*z**5/5 - 13*z**4/12 - 8*z**3 + z**2 - 35. Suppose f(l) = 0. Calculate l.
-3/5, 1, 8
Let o = -1721 - -1724. Factor 5/2 + 75/2*r**4 + 125/2*r**o + 50*r**2 + 75/4*r + 35/4*r**5.
5*(r + 1)**4*(7*r + 2)/4
Let r be 2*(372/36 + -10). Let h(a) be the first derivative of 0*a - 2*a**2 - r*a**3 + 8. Factor h(d).
-2*d*(d + 2)
Let h(z) be the first derivative of -z**4/24 - 2*z**3/9 - z**2/4 + 601. Factor h(d).
-d*(d + 1)*(d + 3)/6
Factor 3/2*n**4 - 9/2*n - 3 + 3/2*n**2 + 9/2*n**3.
3*(n - 1)*(n + 1)**2*(n + 2)/2
Let j(p) be the third derivative of -5*p**8/336 + 37*p**7/210 - 7*p**6/60 - 57*p**2. Factor j(a).
-a**3*(a - 7)*(5*a - 2)
Let o(m) = 9*m**3 - 338*m**2 + 667*m - 336. Let u(j) = 245*j**3 - 9125*j**2 + 18010*j - 9075. Let p(z) = -55*o(z) + 2*u(z). Factor p(q).
-5*(q - 66)*(q - 1)**2
Let i(m) = 7*m**2 - 3*m - 4. Let a(b) = 12*b**2 - 5*b - 8. Let z(r) = 3*a(r) - 5*i(r). Find w such that z(w) = 0.
-2, 2
Let t(p) = 2*p**3 + 60*p**2 + 84*p + 46. Let d(j) = -j**3 - 29*j**2 - 43*j - 23. Let h(c) = -5*d(c) - 2*t(c). Factor h(g).
(g + 1)**2*(g + 23)
Suppose -2/3*r**2 + 4/3*r + 0 = 0. Calculate r.
0, 2
Let c = -10/1541 - -1581/6164. Factor c*l**4 + 0*l**3 - 3*l**2 - 4*l + 0.
l*(l - 4)*(l + 2)**2/4
Let k(z) = -z**2 - z - 1. Let r(l) be the second derivative of -l**4/12 - l**3/6 + l**2/2 + 20*l. Let y(h) = -2*k(h) + 6*r(h). Factor y(f).
-4*(f - 1)*(f + 2)
Let s = -24 + 31. Let h(w) be the third derivative of 0*w - s*w**2 + 0*w**3 + 1/12*w**4 + 0 - 1/30*w**5. Solve h(x) = 0.
0, 1
Let -1/8*c**4 - 5/4*c**3 + 0*c**2 + 0 + 0*c = 0. Calculate c.
-10, 0
Let r(g) = -15*g**2 + 78*g + 132. Let b(i) = -13*i**2 + 75*i + 132. Let x(l) = -6*b(l) + 5*r(l). Factor x(k).
3*(k - 22)*(k + 2)
Let g(z) be the first derivative of -2*z**5/55 + 2*z**3/11 - 2*z**2/11 - 100. Factor g(j).
-2*j*(j - 1)**2*(j + 2)/11
Let l = -489 + 493. Let p(i) be the third derivative of 5*i**2 + 1/420*i**6 + 0 - 1/28*i**l + 0*i + 2/21*i**3 + 0*i**5. Suppose p(z) = 0. What is z?
-2, 1
Let g be 1/5*(24 + -19 - (4 + -2)). Suppose 3/5*r**4 - g*r + 2/5*r**3 - 2/5*r**2 - 1/5 + 1/5*r**5 = 0. Calculate r.
-1, 1
Let q = -4 - 2. Let j be (-3)/6 - 9/q. Suppose 0*i**2 + 5 + 4*i + j - 2*i**2 = 0. Calculate i.
-1, 3
Find u, given that 3/8*u - 5/4*u**2 + 0 = 0.
0, 3/10
Let v(t) be the second derivative of -t**4/15 + 8*t**3/15 + 2*t**2 - 44*t + 3. Find q, given that v(q) = 0.
-1, 5
Let a = 260 - 252. Let k(v) be the second derivative of -1/60*v**4 + a*v + 1/5*v**2 + 1/30*v**3 + 0. Solve k(f)