econd derivative of -1/4*b**4 + 0 + 5/2*b**3 - 6*b**2 - 33*b. Find w, given that a(w) = 0.
1, 4
Let n(o) be the third derivative of -5/24*o**4 + 12*o**2 + 0*o - 1/60*o**5 + 0 - o**3. Factor n(a).
-(a + 2)*(a + 3)
Factor -60/7*p - 300/7 - 3/7*p**2.
-3*(p + 10)**2/7
Let x(t) = 4*t**3 + 106*t**2 + 198*t + 2. Let h(u) = -u**3 - u**2 - 2. Let k(s) = -h(s) - x(s). Let k(l) = 0. Calculate l.
-33, -2, 0
Let i(j) = -j**2 - 3*j + 2. Let s be i(-2). Suppose -23*c**3 + 7*c**3 + 8*c**s - 3*c**4 - 10*c**2 + 11*c**3 = 0. Calculate c.
-1, 0, 2
Let b be (-6)/4*(-40)/(-15). Let q be (-85)/238*b/5. Determine u, given that 0*u**2 + 4/7*u - 2/7*u**4 - 4/7*u**3 + q = 0.
-1, 1
Suppose 61 - 170*p**3 - 30 + 473*p**2 - 31 - 638*p**2 - 5*p**4 = 0. Calculate p.
-33, -1, 0
Suppose -4*q = 2*n + 2, 12*q - 10 = 17*q + 4*n. Factor -1/4*h**3 + 0*h - 1/4*h**5 + 1/2*h**4 + 0*h**q + 0.
-h**3*(h - 1)**2/4
Factor -576*d**3 - d**5 - 48*d**3 - 576*d**2 - 74*d**4 + 25*d**4.
-d**2*(d + 1)*(d + 24)**2
Let c be ((-7)/(-2))/7*0. Determine n, given that 3*n**3 + c*n**5 - 28*n**2 + 22*n**2 - 3*n**5 + 6*n**4 = 0.
-1, 0, 1, 2
Let d(h) = h**3 + 2*h + 15. Let b be d(0). Let p be -5 + (-753)/(-135) + (-2)/b. Factor -2*u**2 - p - 2/9*u**4 + 10/9*u**3 + 14/9*u.
-2*(u - 2)*(u - 1)**3/9
Let h(v) = -65*v**3 - 1055*v**2 - 3365*v - 3345. Let w(n) = 3*n**3 + 48*n**2 + 153*n + 152. Let z(x) = 2*h(x) + 45*w(x). Factor z(p).
5*(p + 2)*(p + 3)*(p + 5)
Let d = -2672 + 2675. Factor 1/6*u**2 + 0*u + 0 + 1/6*u**d.
u**2*(u + 1)/6
Let r(x) be the first derivative of 0*x - 7 + 2/45*x**3 - 1/180*x**4 - 5/2*x**2 - 1/450*x**5. Let w(z) be the second derivative of r(z). Factor w(o).
-2*(o - 1)*(o + 2)/15
Let m(s) be the second derivative of -s**7/14 + 33*s**6/10 - 543*s**5/10 + 649*s**4/2 + 363*s**3/2 - 3993*s**2/2 - 506*s. Let m(b) = 0. Calculate b.
-1, 1, 11
Factor -81*r + 285*r - 117 + 4*r**4 - 36*r**3 - 2*r**4 + r**4 - 54*r**2.
3*(r - 13)*(r - 1)**2*(r + 3)
Find o, given that -4*o**3 - 2*o + 2/3*o**5 + 0 + 16/3*o**2 + 0*o**4 = 0.
-3, 0, 1
Let h(m) = 38*m**2 + 350*m - 70. Let y(g) = 39*g**2 + 349*g - 69. Let o(u) = -5*h(u) + 6*y(u). Let o(i) = 0. Calculate i.
-8, 2/11
Let t(p) be the second derivative of -5*p**7/42 + 3*p**6 - 55*p**5/2 + 335*p**4/3 - 455*p**3/2 + 245*p**2 - 63*p. Let t(c) = 0. Calculate c.
1, 2, 7
Suppose -19 + 5 = -2*m. Suppose 0 = 2*q + 4*i + 16, -2*q = -m*q - 5*i - 15. Factor 4*z + 9*z**3 + 2*z**5 + 7*z**4 - 3*z + 7*z**2 - 2*z**q.
z*(z + 1)**3*(2*z + 1)
Let m = -329 - -333. Factor 20/7*l**m - 6/7*l**5 - 20/7*l**3 + 10/7*l + 0*l**2 - 4/7.
-2*(l - 1)**4*(3*l + 2)/7
Suppose -3*b + 14 + 20 + 3*b**3 + 0*b**3 - 4 - 30*b**2 = 0. Calculate b.
-1, 1, 10
Suppose -59*h - 63*h = -155*h. Factor 0*g - 2/5*g**2 - 1/5*g**3 + h.
-g**2*(g + 2)/5
Let b = 35307 + -247146/7. Factor -6/7 + b*z + 9/7*z**2.
3*(z + 1)*(3*z - 2)/7
Let p = 33223/3 - 10978. Let w = -95 + p. Suppose -8/3 + 1/3*a**3 - w*a**4 - 4/3*a + 10/3*a**2 + 1/3*a**5 = 0. Calculate a.
-1, 2
Let v(r) = -22*r + 96. Let l be v(4). Suppose 0 = -j + l*j - 112. Find n, given that -1/2 - 8*n**4 - 4*n - j*n**3 - 12*n**2 = 0.
-1/2
Factor 10/7*n**2 + 0 + 16/7*n + 1/7*n**3.
n*(n + 2)*(n + 8)/7
Let z(g) = -g**3 + g**2 - 4. Let l(d) = 72*d**2 + 188*d - 276. Let i(f) = -l(f) + 4*z(f). Factor i(q).
-4*(q - 1)*(q + 5)*(q + 13)
Let r(k) = 2*k**3 - 3*k**2 - 3*k. Let n(q) = -q**3 + 2*q**2 + 2*q. Suppose 24*z = 25*z - 4. Let v(y) = z*r(y) + 6*n(y). Factor v(h).
2*h**3
Let p(t) be the third derivative of t**5/360 + 65*t**4/72 - 131*t**3/36 + 7*t**2 - 6*t. Determine c so that p(c) = 0.
-131, 1
Suppose -34*c + 48 = -26*c. Factor 10*v - 4*v - 6*v**2 - 1 - 1 + c*v**3 - 4*v**3.
2*(v - 1)**3
Let v(z) = 2*z**5 + z**4 - z**3 + z + 1. Let t(q) = -7*q**4 - 25*q**3 + 94*q**2 - 97*q + 31. Let i(u) = t(u) + v(u). Solve i(f) = 0.
-4, 1, 4
Let k be 7/(-35) + 452/10. Let c be k/20 + 3/(-4). Factor -3/2*y**2 - c - 24*y**4 + 36*y**3 - 9*y.
-3*(y - 1)**2*(4*y + 1)**2/2
Suppose -f - 26*f + 108 = 0. Let p(q) be the third derivative of 3*q**2 + 0*q + 0 - 1/150*q**5 + 1/30*q**f + 0*q**3. Find o, given that p(o) = 0.
0, 2
Let y(n) be the second derivative of 1/4*n**2 + n - 1/180*n**6 - 1/30*n**5 + 1/9*n**3 - 1/36*n**4 + 0. Factor y(k).
-(k - 1)*(k + 1)**2*(k + 3)/6
Determine l, given that -1/4*l**3 - 13/4*l**2 - 11/4 - 23/4*l = 0.
-11, -1
Let u(s) be the third derivative of -s**8/420 + s**7/210 + s**6/45 + 14*s**3/3 - 22*s**2. Let d(f) be the first derivative of u(f). Factor d(j).
-4*j**2*(j - 2)*(j + 1)
Let d(h) be the second derivative of h**4/18 + 23*h**3/9 - 8*h**2 - 6*h - 11. Determine z, given that d(z) = 0.
-24, 1
Let t be (3 + (-27)/(-18))*(-2)/(-6). Let t*d**2 + 0 - 9/2*d + 1/2*d**4 + 5/2*d**3 = 0. Calculate d.
-3, 0, 1
Let k(w) be the second derivative of 7*w**4/48 + 11*w**3/24 - 9*w**2/4 + 56*w - 1. Solve k(f) = 0 for f.
-18/7, 1
Let d = -678 - -680. Let r(m) be the third derivative of d*m**2 + 1/30*m**6 + 0*m + 1/6*m**4 + 0*m**3 + 0 - 2/15*m**5. Determine o, given that r(o) = 0.
0, 1
Let g(j) be the second derivative of j**6/10 - 21*j**5/10 + 45*j**4/4 - 26*j**3 + 30*j**2 - 9*j - 9. Factor g(q).
3*(q - 10)*(q - 2)*(q - 1)**2
Let u(n) = n - 6. Let t be u(6). Let p be t*2/8*-2. Factor p - 7*y + y**2 + 4*y**2 + 2.
(y - 1)*(5*y - 2)
Let v(x) be the third derivative of -x**5/90 - x**4/18 + x**3/3 + 4*x**2 - 2. Determine h so that v(h) = 0.
-3, 1
Let x(b) be the second derivative of b**5/140 - 5*b**4/28 + 13*b**3/21 + 817*b. Let x(t) = 0. Calculate t.
0, 2, 13
Let n(i) = i**2 + 4 - 5 + i**3 + 16*i**4 - 9*i**4 - 6*i**4. Let c(z) = 15*z**3 + 40*z**2 - 35*z. Let m(f) = c(f) - 10*n(f). Let m(t) = 0. What is t?
-2, 1/2, 1
Let j(d) be the second derivative of -d**7/315 - d**6/75 - d**5/50 - d**4/90 - 47*d - 1. Let j(b) = 0. Calculate b.
-1, 0
Suppose 16*u - 18*u + 8 = 0. Find w such that -4*w**3 - 4*w**3 - 19*w**4 + 4*w**2 + 0*w**3 + 23*w**u = 0.
0, 1
Let g(b) be the third derivative of b**6/1140 + 47*b**5/570 - 4*b**4/19 + 9*b**2 - 11*b. Suppose g(f) = 0. What is f?
-48, 0, 1
Let j = -6154/15 - -408. Let h = 8/3 + j. Factor h*b**5 - 2/5*b**2 + 0 + 0*b - 6/5*b**4 + 6/5*b**3.
2*b**2*(b - 1)**3/5
Factor -2*v**3 + 6*v**3 - 219*v - 2*v**3 - 15*v**2 - 3*v**3 + 205*v.
-v*(v + 1)*(v + 14)
Let y be 258/30 - 8 - 6/((-420)/278). Suppose -2/7*d**5 - 16/7 + 4/7*d**2 + y*d**3 + 12/7*d**4 - 30/7*d = 0. Calculate d.
-1, 1, 8
Let r(y) = 3*y + 13. Let m be r(-6). Let o(x) = -3*x**4 - x**3 - x**2 + x. Let p(b) = b**4 + b**3 + b**2. Let u(z) = m*o(z) - 20*p(z). Factor u(q).
-5*q*(q + 1)**3
Let u(f) be the second derivative of -1/84*f**7 + 19*f + f**3 + 11/24*f**4 + f**2 + 1/40*f**5 - 1/20*f**6 + 0. Let u(z) = 0. Calculate z.
-2, -1, 2
Let -2*u**3 + 0 - 26/11*u - 50/11*u**2 + 2/11*u**4 = 0. What is u?
-1, 0, 13
Let l(f) = f - 10. Let q be l(14). Let a be (-4)/2 - ((-32)/q - -6). Solve a*o**3 + 1/4*o**4 - 2*o - 3/2*o**2 - 3/4 = 0.
-1, 3
Factor 2/5*g**2 - 3/5*g - 14/5.
(g + 2)*(2*g - 7)/5
Let a(r) be the second derivative of -r**5/60 - r**4 - 24*r**3 + 9*r**2/2 + 11*r - 1. Let w(f) be the first derivative of a(f). Factor w(d).
-(d + 12)**2
Let x(n) be the second derivative of -3/14*n**3 + 0 + 1/28*n**4 - 6/7*n**2 + 5*n. Factor x(o).
3*(o - 4)*(o + 1)/7
Let a = 12461/74622 + -4/12437. Factor -a*p**2 - 3/2 + p.
-(p - 3)**2/6
Suppose 4*b + 287 = -9*y + 12*y, 0 = -5*y - 4*b + 425. Let v = y + -89. Let -2/5*t - 11/5*t**2 + v = 0. What is t?
-2/11, 0
Let w(a) be the first derivative of -2*a**6/9 + 4*a**5/15 + a**4/3 - 4*a**3/9 + 125. Suppose w(c) = 0. Calculate c.
-1, 0, 1
Let q be -7 + (4 - 1) - -3. Let x be 24/(-21) - q/(-2)*-4. What is p in -6/7*p**2 - 2/7*p - 2/7*p**4 + 0 - x*p**3 = 0?
-1, 0
Suppose 0 = -4*o + 3*f + 17, -2*o + 22 = 3*o - 3*f. Suppose o = -3*n + 17. Let b**2 - 2*b**3 - b**3 - 2*b**3 - 3*b**n + 2 + 5*b = 0. What is b?
-1, -2/3, 1
Let b(l) = -11*l - 135. Let k be b(-13). Suppose 8/3*f + 2/9*f**2 + k = 0. Calculate f.
-6
Suppose 4*f - 8*c = -5*c - 213, -5*c = -15. Let b be 1*((-4)/(-6) - (-34)/f). Factor 2/7*g**3 + 0 + 0*g + b*g**2 - 2/7*g**4.
-2*g**3*(g - 1)/7
Let h(o) be the first derivative of -8*o**3/9 + 11*o**2 - 16*o/3 - 99. Suppose h(z) = 0. What is z?
1/4, 8
Let d = -8 + 8. Suppose -c - 5 = -d*c. Let j(p) = 3*p**3 - 6*p**2 - 6*p. Let h(m) = 3*m**3 - 6*m**2 - 5*m. Let g(b) = c*j(b) + 6*h(b). What