4 + 29*l**2. Let u(z) be the second derivative of a(z). Factor u(s).
s**3*(s + 1)/2
Let u(r) = 23*r**3 + 18*r**2 - 5*r + 3. Let n(b) = -45*b**3 - 35*b**2 + 10*b - 5. Let o(m) = 3*n(m) + 5*u(m). Solve o(d) = 0 for d.
-1, 0, 1/4
Let c be (-1 - 1)*(-1)/2*-1. Let u(v) = -2*v**4 - 22*v**2 + 8*v + 6. Let n(b) = -b**3 + b**2 + 1. Let s(h) = c*u(h) - 10*n(h). Suppose s(t) = 0. Calculate t.
-2, 1
Solve -3/5*n**2 - 51/5*n + 54/5 = 0 for n.
-18, 1
Let g = 6970 - 6970. Factor 20/9*f**2 + 4/3*f**4 + g - 2/9*f**5 - 8/3*f**3 - 2/3*f.
-2*f*(f - 3)*(f - 1)**3/9
Let z be 10*((-6)/(-4) + -1) + (-30)/6. Let 0 + 3/7*l**5 - 3/7*l**4 + 0*l**2 - 6/7*l**3 + z*l = 0. What is l?
-1, 0, 2
Let a(r) = 6*r + 1. Let w be a(2). Suppose -5*q + 15 = 5*z, z = 2*q - 4*z - w. Factor -3*s**q - s**4 + 2*s**2 + 6*s**4 + 4*s**3.
2*s**2*(s + 1)**2
Let q(x) be the third derivative of -16*x**2 - 4/21*x**4 + 64/21*x**3 + 0*x + 0 + 1/210*x**5. Determine k so that q(k) = 0.
8
Let r(b) be the first derivative of b**5/45 - b**4/3 - 11*b**2/2 - 11. Let g(d) be the second derivative of r(d). Factor g(q).
4*q*(q - 6)/3
Let d(m) = -m**3 - 3*m**2 + 10*m + 34. Let v be d(-3). Factor 0 + 8/5*k**v + 0*k**2 + 0*k + 2/5*k**5 + 8/5*k**3.
2*k**3*(k + 2)**2/5
Suppose 14*d = -4*d - 3*d. Let h(z) be the third derivative of -1/840*z**7 + d*z + 11*z**2 - 1/40*z**5 + 1/24*z**4 + 0 + 1/120*z**6 - 1/24*z**3. Factor h(j).
-(j - 1)**4/4
Let y(p) be the first derivative of -3/5*p**3 + 3/25*p**5 + 6/5*p + 8 - 3/20*p**4 + 3/10*p**2. Factor y(c).
3*(c - 2)*(c - 1)*(c + 1)**2/5
Let v(q) be the second derivative of -q**4/8 - q**3/18 - 97*q. Suppose v(t) = 0. Calculate t.
-2/9, 0
Let z(y) be the second derivative of -95*y**4/12 - 5*y**3/3 + 321*y. Suppose z(p) = 0. What is p?
-2/19, 0
Determine n so that 2/9*n**4 + 50/9 - 56/9*n**3 - 152/9*n + 52/3*n**2 = 0.
1, 25
Let 0 - 2/5*j**2 + 12/5*j - 12/5*j**3 + 2/5*j**4 = 0. What is j?
-1, 0, 1, 6
Suppose p - 5*p = -5*v - 12, -2*p - 5*v + 6 = 0. Factor -18*c - 10*c - 8 + 5*c**3 - 12*c**3 - 13*c**p - 36*c**2 - 4*c**4.
-4*(c + 1)**3*(c + 2)
Let a be 725/1160*(36/15 + -2). Suppose -1/8*p**3 + 1/8*p + 3/8*p**2 - a - 1/8*p**4 = 0. Calculate p.
-2, -1, 1
Let a(l) be the first derivative of 4*l**5/35 - 10*l**4/7 + 44*l**3/7 - 80*l**2/7 + 64*l/7 + 678. Find q such that a(q) = 0.
1, 4
Find x, given that 3*x**3 - 315*x**2 - 4*x**3 - 54028 - 6615*x + 7723 - 4*x**3 = 0.
-21
Let f(g) = 110*g**2 - 134*g + 28. Let b(z) = 22*z**2 - 27*z + 6. Let o(q) = -14*b(q) + 3*f(q). Let o(u) = 0. Calculate u.
0, 12/11
Let t(l) be the second derivative of -l**7/252 + l**6/180 + 13*l**5/120 - 25*l**4/72 + l**3/3 - l + 45. Suppose t(j) = 0. What is j?
-4, 0, 1, 3
Suppose -4*n = -n + o + 3, 0 = -5*o - 15. Let h be ((-2)/7 - n) + (-115)/(-35). Factor 1/3*s + s**h + 0 - s**2 - 1/3*s**4.
-s*(s - 1)**3/3
Let f(h) = -12*h**2 + 28*h - 11. Let o(m) be the first derivative of -m**3/3 + m**2/2 - m + 25. Let w(n) = 2*f(n) - 10*o(n). Determine y so that w(y) = 0.
2/7, 3
Let z(g) be the third derivative of -g**7/630 + g**6/180 + g**5/180 - g**4/36 - 3*g**2 - g. Factor z(n).
-n*(n - 2)*(n - 1)*(n + 1)/3
Suppose -n = 3*n - 128. Let w = n + -19. Let k**3 - 14*k + 0*k**3 + w*k = 0. Calculate k.
-1, 0, 1
Factor 1111*l + 35*l**3 + 640 + 552*l + 737*l + 570*l**2.
5*(l + 8)**2*(7*l + 2)
Let u(z) = 2*z**2 - 15*z + 31. Let o be u(7). Let q be 1/3*o/2. Let q*v**2 + 8/3*v**3 + 0 + 4/3*v = 0. What is v?
-1, -1/2, 0
Let t(g) be the first derivative of -g**4/30 - 5*g + 28. Let k(h) be the first derivative of t(h). Factor k(m).
-2*m**2/5
Let p = -983 - -7865/8. Let y(m) be the third derivative of -2*m**2 + 0 + 1/120*m**6 - 1/6*m**3 + 0*m + p*m**4 - 1/20*m**5. Factor y(z).
(z - 1)**3
Let a = -44 - -60. Suppose 4*q + 0*q - a = 0. Factor 2/7 + 8/7*w**3 + 8/7*w + 12/7*w**2 + 2/7*w**q.
2*(w + 1)**4/7
Let h(y) = 15*y**2 - 88*y - 9. Let l be h(6). Let x(o) be the first derivative of 0*o**2 + 1/5*o**l + 0*o - 7. Solve x(w) = 0.
0
Let w(d) be the second derivative of -1/10*d**2 + 0 + 1/60*d**4 + 2*d + 0*d**3. Factor w(p).
(p - 1)*(p + 1)/5
Suppose 2*g - y - 1 = 0, 3*y = g - 2*y + 22. Let h = g + -1. Determine n, given that -21*n + 18*n + 3*n**h + 1 + 0*n**2 - n**3 = 0.
1
Let c(s) be the third derivative of -s**5/330 - 7*s**4/33 - 52*s**3/33 - 7*s**2 + 8*s. Let c(z) = 0. What is z?
-26, -2
Let r(v) be the second derivative of v**5/4 - 25*v**4/12 - 10*v**3 + 90*v**2 - 30*v. Find q such that r(q) = 0.
-3, 2, 6
Let p(a) be the third derivative of -a**5/330 - 5*a**4/66 - 25*a**3/33 - 4*a**2. Factor p(x).
-2*(x + 5)**2/11
Let k(y) be the first derivative of y**8/784 + y**7/98 + y**6/40 + 3*y**5/140 - 25*y**2 + 17. Let j(n) be the second derivative of k(n). Solve j(d) = 0 for d.
-3, -1, 0
Let k = 85 - 74. Let c be (-43)/(-473) + 21/k. Factor y - 1/4*y**c - 1.
-(y - 2)**2/4
Let q(k) be the second derivative of k**6/40 + 4*k**5/15 + k**4/2 - 8*k**3/3 - 27*k**2/2 + 37*k - 2. Let h(f) be the first derivative of q(f). Factor h(j).
(j + 2)*(j + 4)*(3*j - 2)
Let w(q) be the second derivative of -14*q**6/15 - 27*q**5/10 - 3*q**4/2 - 48*q. Factor w(o).
-2*o**2*(2*o + 3)*(7*o + 3)
Let 156/5*j**3 - 64/5*j**2 + 0 - 256/5*j + 2/5*j**5 - 34/5*j**4 = 0. What is j?
-1, 0, 2, 8
Let n(r) be the second derivative of r**5/10 + r**4/6 - 16*r**3/3 - 16*r**2 - 403*r. Factor n(j).
2*(j - 4)*(j + 1)*(j + 4)
Let p = 2791 - 2787. Factor 0*l + 3/5*l**5 + 0 + 0*l**2 + 2/5*l**p - 1/5*l**3.
l**3*(l + 1)*(3*l - 1)/5
Let r = -174 - -179. Suppose -r = -6*l + 5*l. Determine d so that 1/5*d**2 + 3/5*d**4 + 1/5*d**l + 0 + 3/5*d**3 + 0*d = 0.
-1, 0
Suppose 9*p - 34*p = 0. Let i(h) be the second derivative of 0 + 5*h + p*h**3 - 1/90*h**5 + 0*h**4 + 0*h**2 - 1/135*h**6. Factor i(r).
-2*r**3*(r + 1)/9
Let f(w) = w**2 + 11*w + 14. Let o be f(-10). Determine v so that -18*v**3 + 9*v**2 - 6*v - 3*v**5 + 12*v**o + 3*v + 3*v**2 = 0.
0, 1
Let y(h) be the first derivative of -25 - 2/9*h**3 + 0*h - 11/3*h**2. Determine t so that y(t) = 0.
-11, 0
Let p(h) = h**4 + h**3 + h**2 - h. Let v = 7 + 2. Let z = 7 - v. Let x(i) = 12*i**4 + 12*i**3 + 10*i**2 - 12*i. Let a(d) = z*x(d) + 22*p(d). Factor a(w).
-2*w*(w - 1)*(w + 1)**2
Factor 0 - 202*l**2 + 0 + 25*l**3 + 17*l + 230*l**2 - 69*l - l**4.
-l*(l - 26)*(l - 1)*(l + 2)
Let k = -3143 - -3158. Let x(p) be the second derivative of 0 - 1/20*p**4 - k*p - 1/5*p**3 + 0*p**2. Factor x(z).
-3*z*(z + 2)/5
Factor 180 - 19*v - 49*v - 4*v + 7*v + 4*v**2 + v**2.
5*(v - 9)*(v - 4)
Suppose 3*l - b - 15 = 0, l - 5 = b + 6. Factor 16/9 - 4/9*v**l + 2/9*v**5 - 4/3*v**4 + 22/9*v**3 - 8/3*v.
2*(v - 2)**3*(v - 1)*(v + 1)/9
Determine s so that -1/2*s**2 + 10/3 + 7/6*s = 0.
-5/3, 4
Let m = 3518 - 24624/7. Solve 0 + 2/7*g**2 + 0*g - m*g**3 = 0 for g.
0, 1
Suppose q + h - 5 = 0, -5*h + 2*h = -5*q + 1. Let z(b) be the first derivative of 2 + 0*b + 3/4*b**4 + 0*b**q - 1/4*b**3. Let z(o) = 0. Calculate o.
0, 1/4
Let p = -18 - -56/3. Let w(l) be the first derivative of 0*l**4 + 0*l - 1 + 0*l**2 - 2/5*l**5 + p*l**3. Determine r, given that w(r) = 0.
-1, 0, 1
Let y = -11379/337 + 77892456/2317549. Let c = -1/529 - y. Factor -c*t**2 + 2/13 + 0*t.
-2*(t - 1)*(t + 1)/13
Suppose -4*m = a - 3, -2*a - m + 9 = a. Let -5*n**2 + 2*n**2 + 17*n**a - n**3 - 7*n**3 = 0. Calculate n.
0, 1/3
Let n(g) be the first derivative of 5*g**4/6 + 35*g**3/3 + 95*g**2/6 + 696. Suppose n(p) = 0. What is p?
-19/2, -1, 0
Let v be 40/22 + -9 + 707/77. Factor 6/7*r**3 - 2*r - 4/7*r**v - 4/7.
2*(r - 2)*(r + 1)*(3*r + 1)/7
Factor -1/4*d**4 - 8*d + 2*d**3 - 3*d**2 + 16.
-(d - 4)**2*(d - 2)*(d + 2)/4
Let n(f) be the third derivative of 1/8*f**4 + 0*f + 1/60*f**5 - 2/3*f**3 - 3*f**2 + 0. Determine d so that n(d) = 0.
-4, 1
Let x(k) = -5*k**2 + 0*k**2 + 0*k**2 - 2*k**3 + k**2. Let f be x(-2). Factor 1/2*q**2 + f*q + 0*q**3 + 0 - 1/2*q**4.
-q**2*(q - 1)*(q + 1)/2
Let q(v) = v + 24. Let y be q(-22). Suppose x - 4 = -y. Factor 2*t**4 + t**x + 7/2*t**3 + 0 - 1/2*t.
t*(t + 1)**2*(4*t - 1)/2
Suppose 0 = -5*h - 5*g + g + 48, h - 3*g = 2. Suppose 0 = 4*m - 0*m + 4*k - 20, 2*m + h = 4*k. Factor -4*y**m + 6*y**4 - y**2 - 5*y**4 + 4*y**2.
y**2*(y - 1)*(y + 1)
Let j(i) be the first derivative of 1/14*i**4 - 49 - 10/7*i**2 - 1/3*i**3 - 12/7*i + 1/35*i**5. Factor j(n).
(n - 3)*(n + 1)*(n + 2)**2/7
Suppose 61*t = 57*t + 8. Let y(d) be