 the first derivative of 0*a**2 - 16*a + w*a**3 + 5. Factor v(f).
4*(f - 2)*(f + 2)
Let i be 3141/594 + (-45)/10*(-4)/33. Find k, given that -25/6*k - 5/3 + i*k**2 = 0.
-2/7, 1
Let b be -3 + 7 + (-5)/(-80)*-52. What is v in -57/8*v**3 - b + 45/8*v**2 + 21/8*v**4 - 3/8*v = 0?
-2/7, 1
Factor 2 - 2*j - 4*j**5 + 4*j**3 + 374*j**2 + 2*j**4 - 378*j**2 + 2*j**5.
-2*(j - 1)**3*(j + 1)**2
Let s(j) be the third derivative of -j**7/210 - j**6/15 - 4*j**5/15 - 3*j**3/2 - 46*j**2. Let m(a) be the first derivative of s(a). Factor m(z).
-4*z*(z + 2)*(z + 4)
Let f be -1*(-4)/(-6)*9. Let r be 14/8 - f/(-8). Determine h, given that -h**3 - 5*h**3 + 8*h**2 - 12*h + 5 - r + h**4 + 5*h**2 = 0.
1, 2
Let g(o) = -80*o**3 + 79*o**3 - 1 - o - 2*o**2 - 2*o**2 + 3*o**2. Let i(u) = u**4 - 2*u**3 - 4*u**2 + 1. Let f(r) = -4*g(r) + 4*i(r). Factor f(h).
4*(h - 2)*(h - 1)*(h + 1)**2
Let j(f) be the second derivative of -f**6/480 + f**4/96 + 5*f**2/2 + 10*f. Let n(o) be the first derivative of j(o). Find s, given that n(s) = 0.
-1, 0, 1
Let s(i) = 8*i**2 - 5*i - 13. Let l(h) = 6*h**2 - 6*h - 12. Let u(n) = 3*l(n) - 2*s(n). What is p in u(p) = 0?
-1, 5
Let f(c) = 3*c**2 + 607*c + 25397. Let i(o) = 6*o**2 + 1203*o + 50793. Let w(s) = 9*f(s) - 5*i(s). Factor w(n).
-3*(n + 92)**2
Let a(i) be the third derivative of i**5/510 + 7*i**4/34 + 147*i**3/17 - 2*i**2 - 22. Solve a(d) = 0.
-21
Let n(w) = 14*w - 2*w - 23 + w**3 - 12 - 6*w**2. Let c be n(5). Solve -4/5*p**3 + 4/5*p + c + 2/5*p**2 - 2/5*p**4 = 0 for p.
-2, -1, 0, 1
Let v(n) be the first derivative of -5*n**3/6 + 435*n**2/2 - 37845*n/2 - 130. Factor v(b).
-5*(b - 87)**2/2
Suppose 16 + 8 = 4*m. Let v = m + -3. Factor -1/2*g - 3/2*g**2 + 1/3 + 1/2*g**4 - 1/6*g**v.
(g - 2)*(g + 1)**2*(3*g - 1)/6
Solve 1/4*j**4 - 3/4*j + 0 - 1/4*j**2 + 3/4*j**3 = 0.
-3, -1, 0, 1
Factor -3/2 - 1/2*w**2 + 2*w.
-(w - 3)*(w - 1)/2
Let f(m) = 48*m**2 + 145*m + 28. Let n(o) = 23*o**2 + 73*o + 14. Let i(h) = 6*f(h) - 13*n(h). Solve i(k) = 0 for k.
-7, -2/11
Let l = -8 + 2. Let b = l + 8. Suppose -1 - 2*t**2 - b*t**2 - t - 4*t = 0. What is t?
-1, -1/4
Let 20/3 + 1/6*m**4 + 0*m**3 - 3*m - 23/6*m**2 = 0. Calculate m.
-4, -2, 1, 5
Let w(y) be the first derivative of -25*y**4/14 + 80*y**3/3 - 704*y**2/7 + 1024*y/7 - 458. Determine r, given that w(r) = 0.
8/5, 8
Let s(z) be the first derivative of -4*z**3/3 + 44*z**2 - 103. Factor s(a).
-4*a*(a - 22)
Let r(v) be the second derivative of -13*v**5/20 - 41*v**4/12 - 16*v**3/3 - 2*v**2 + 2*v + 90. Factor r(u).
-(u + 1)*(u + 2)*(13*u + 2)
Solve -21*z**2 + 5*z**2 + 8*z**3 - z**4 + 2*z**4 - 2*z**4 = 0 for z.
0, 4
Let r = -33658/15 + 11221/5. Factor r + 2/9*d - 1/9*d**2.
-(d - 3)*(d + 1)/9
Let f(n) be the third derivative of 0*n - 9/8*n**4 + 0 + 3/10*n**5 - 2*n**2 - 1/40*n**6 + 0*n**3. Solve f(i) = 0.
0, 3
Let f(k) be the first derivative of -24*k + 5*k**4 + 4 - 12/5*k**5 - 26*k**2 + 68/3*k**3. What is i in f(i) = 0?
-2, -1/3, 1, 3
Let m(w) be the third derivative of w**6/120 + 11*w**5/60 + w**4 - w**2 + 10. Factor m(g).
g*(g + 3)*(g + 8)
Let l(v) = -20*v + v**2 + 15 - 4*v**2 - 7*v**2. Let s(q) = -q**2 - q + 1. Let w(h) = -l(h) + 15*s(h). Find j, given that w(j) = 0.
0, 1
Let z(j) = -2*j**2 - 2*j - 1. Let h(m) = 9*m**2 - 636*m + 34350. Let f(s) = h(s) + 3*z(s). Factor f(n).
3*(n - 107)**2
Let u(y) be the first derivative of -14 - 4/3*y**3 + 4*y + 0*y**2. Determine g so that u(g) = 0.
-1, 1
Let v(c) = -40*c**4 + 130*c**2 + 145*c + 35. Let s(l) = -l**4 - 3*l**3 - l + 1. Let d(a) = 5*s(a) + v(a). Suppose d(g) = 0. What is g?
-1, -2/3, 2
Let r(x) = -3*x**3 + 5*x - 5. Let z(j) = -j**3 + j - 1. Let c(o) = r(o) - 4*z(o). Let p be c(1). Factor 2 - 32*k - p + 2 - 77*k**2 - 7 - 49*k**3.
-(k + 1)*(7*k + 2)**2
Let b(z) = -z**2 - 6*z - 3. Let l(w) = -w**2 - 1. Let q(j) = j**2 + 31*j + 11. Let r(f) = -4*l(f) + q(f). Let g(m) = -11*b(m) - 2*r(m). Factor g(h).
(h + 1)*(h + 3)
Let v = 9 + 2. Factor -11*k**4 - v*k**4 + 12*k**5 + 3*k**3 + 7*k**4.
3*k**3*(k - 1)*(4*k - 1)
Let u(c) be the third derivative of 1/1512*c**8 - 7*c**2 + 0*c**3 + 0*c**4 - 1/540*c**6 + 0 + 1/945*c**7 + 0*c - 1/270*c**5. Let u(k) = 0. Calculate k.
-1, 0, 1
Let 14/11*s**2 - 2/11*s**3 + 56/11*s + 40/11 = 0. Calculate s.
-2, -1, 10
Let s(g) be the first derivative of g**6/90 + g**5/10 + g**4/3 + 2*g**3 + 8. Let l(b) be the third derivative of s(b). Factor l(u).
4*(u + 1)*(u + 2)
Solve -3249/2 + 113/2*f**2 + 3135/2*f + 1/2*f**3 = 0.
-57, 1
Suppose -3*w = -9*w + 18. Suppose 0 = 2*a - w*q + 1, 0 = -a + 4*q - 1 - 7. Solve -3 + 6 - 268*d**3 + d**3 - 42*d + 240*d**a + 207*d**2 - 141*d**3 = 0 for d.
1/5, 1/4, 1
Let x(c) = 1 - 6 + 4*c + 2*c - 2*c + c**2. Let q be x(2). Suppose -10*t**5 + 3*t**4 + 0*t**3 + 2*t**3 - 3*t**2 + t**3 + q*t**5 = 0. Calculate t.
-1, 0, 1
What is q in -64/3*q + 98/3*q**5 - 154/3*q**4 - 34/3*q**3 + 146/3*q**2 + 8/3 = 0?
-1, 2/7, 1
Let j(d) = -5*d**4 - 3*d**2 + 4*d. Let m(y) = 5*y**4 + 2*y**4 + y + 3*y**2 - 4*y**2 - 8*y**4. Let l(h) = -5*j(h) + 20*m(h). Factor l(i).
5*i**2*(i - 1)*(i + 1)
Let c be (460/(-1242))/((-1)/12). Find f such that 82/9*f**3 - c*f + 16/9 + 68/9*f**4 - 28/3*f**2 - 14/3*f**5 = 0.
-1, -2/3, 2/7, 1, 2
Let q be 55/(-15)*70/(-231). Let z = 9 - 6. Factor 14/9*g**2 + 0 + 4/9*g + 2*g**z + 2/9*g**5 + q*g**4.
2*g*(g + 1)**3*(g + 2)/9
Let s(v) be the third derivative of -v**6/180 - 7*v**5/30 + 11*v**4/18 + 57*v**2. Factor s(y).
-2*y*(y - 1)*(y + 22)/3
Solve 4*p**2 - 5*p**2 + 2*p**2 - 5 + 21 + 10*p = 0.
-8, -2
Let g(r) = r**3 + 19*r**2 + 26*r + 21. Let x be g(-18). Let h = -75 - x. Factor -h*c**3 + 7 + 168*c**2 + 16*c - 91*c + 2.
-3*(c - 3)*(4*c - 1)**2
Let s = -674/63 - -2/63. Let t = s - -67/6. Solve 0 - 1/6*l**2 + t*l = 0.
0, 3
Let g(a) = -6*a**3 + 31*a**2 + 161*a + 126. Let o(i) = 3*i**3 - i**2 - 2*i. Let x(l) = g(l) + o(l). Factor x(c).
-3*(c - 14)*(c + 1)*(c + 3)
Let w be (-5 - -7)*14/56. Find a such that 1/2*a**3 - 1/2 - w*a + 1/2*a**2 = 0.
-1, 1
Let p(d) be the second derivative of 0*d**2 + 1/14*d**3 + 17*d + 0 - 1/28*d**4. Factor p(b).
-3*b*(b - 1)/7
Let l(o) be the first derivative of 2*o**6/15 - 2*o**5/25 - 7*o**4/10 - 2*o**3/15 + o**2 + 4*o/5 - 93. Suppose l(j) = 0. What is j?
-1, -1/2, 1, 2
Let a(x) be the first derivative of 1/5*x**4 - 1/15*x**6 + 2/25*x**5 - 1/5*x**2 + 2/5*x - 4/15*x**3 - 5. Solve a(c) = 0 for c.
-1, 1
Let f(l) be the second derivative of -11*l + 4/3*l**2 + 0 + 1/18*l**4 + 4/9*l**3. Suppose f(i) = 0. What is i?
-2
Let d(o) = o**2 + 10*o + 9. Let t(l) = 6*l + 7. Let u be t(-2). Let g(i) = -10*i - 10. Let k(v) = u*d(v) - 4*g(v). Factor k(r).
-5*(r + 1)**2
Suppose 0 + 0*i**2 + 0*i + 2/7*i**4 - 8/7*i**3 = 0. What is i?
0, 4
Let z be (-6)/(4788/(-1810)) - 2. Let h = z - -1/57. Factor -h*j - 4/7 + 2/7*j**2.
2*(j - 2)*(j + 1)/7
Suppose 3*z + 10 = 8*z. Factor z - 2*i - 2*i - 3*i + i**3 + 4*i.
(i - 1)**2*(i + 2)
Let p = -25 - -24. Let r(z) = -3*z**3 - 2*z**2 + 1. Let j be r(p). Let 11 - 27 - 8*y - 4*y**2 + j*y**3 + 8*y**2 = 0. What is y?
-2, 2
Let j be -38*(5 - 3)*6. Let q be (60/16)/(-5)*j/27. Factor -8/3 - 50/3*l**2 - 32/3*l - q*l**3 - 14/3*l**4 - 2/3*l**5.
-2*(l + 1)**3*(l + 2)**2/3
Let k(g) be the first derivative of -g**5/190 + g**4/38 - 2*g**3/57 - 17*g - 4. Let x(p) be the first derivative of k(p). Determine u, given that x(u) = 0.
0, 1, 2
Let a(w) be the second derivative of w**6/10 - 3*w**5/4 - 9*w**4 + 136*w**3 - 672*w**2 - w + 1. Factor a(v).
3*(v - 4)**3*(v + 7)
Suppose 27 - 26 = 22*c - 43. Factor 8/3 - 7/3*h - 1/3*h**c.
-(h - 1)*(h + 8)/3
Factor -168*v**3 - 4*v**2 + 11*v + 4*v**4 - 3*v + 160*v**3.
4*v*(v - 2)*(v - 1)*(v + 1)
Let p = 15 + -16. Let k = p - -6. Suppose 32*j**2 - 26*j**2 - 2*j**3 + 11*j**3 + j**5 - 4*j**k = 0. What is j?
-1, 0, 2
Factor 10*f - 300 + 43*f - 93*f - 20*f - 3*f**2.
-3*(f + 10)**2
Let p(o) be the first derivative of 8*o - 6 + 2/3*o**3 - 4*o**2. Factor p(i).
2*(i - 2)**2
Let f(n) = 25*n**3 - 13*n**2 - 73*n - 74. Let m(g) = 11*g**3 - 7*g**2 - 36*g - 36. Let j(p) = 4*f(p) - 9*m(p). Factor j(z).
(z + 2)**2*(z + 7)
Let k(z) be the second derivative of 22*z + 1/6*z**3 + 0 + 0*z**2 - 1/20*z**5 + 0*z**4. Find o, given that k(o) = 0.
-1, 0, 1
Factor 0*x + 0 + 2/3*x**4 + 0*x**3 - 2/3*x**2.
2*x**2*(x - 1)*(x + 1)/3
Let s(a) be the second derivative of -a**5/40 - 3*a**4/8 - 2*a**3 - 4*a**2