(b) = 3*b**3 + 5*b**2 + 11*b + 1. Let l be (0 + -3)*(-16)/3. Let x(c) = l*f(c) + 5*p(c). Factor x(j).
-2*(j - 1)**2*(j + 2)
Let k(q) be the second derivative of 11*q**5/40 - 13*q**4/24 - 5*q**3/3 + q**2 + 13*q. Determine g, given that k(g) = 0.
-1, 2/11, 2
Factor 6*s**3 + 23*s - 4*s**5 - 10*s + 2*s**3 - 17*s.
-4*s*(s - 1)**2*(s + 1)**2
Let p(u) = u**2 - 10*u - 2. Let f be p(10). Let o be (-2)/33*f*18. Find d such that 8/11 + 26/11*d**2 + 12/11*d**3 + 2/11*d**4 + o*d = 0.
-2, -1
Suppose 20 = -5*w, 10 = 3*f - w - 0*w. Solve 2*x + 2*x**f - 3 + 6*x - 2*x + 7 = 0 for x.
-2, -1
Let w be (-6)/8 + (81/12)/9. Let -1/5*c**3 + c**4 + 3/5*c**5 + w - 2/5*c - c**2 = 0. Calculate c.
-1, -2/3, 0, 1
Let t(i) be the third derivative of 1/300*i**6 + 0*i - 1/15*i**3 + 1/20*i**4 + i**2 + 0 - 1/50*i**5. Let t(a) = 0. Calculate a.
1
Let o(n) be the first derivative of -1/2*n**2 - 1 - 1/5*n**5 - 2/3*n**3 - 1/2*n**4 - 1/5*n - 1/30*n**6. Factor o(t).
-(t + 1)**5/5
Let x(f) be the second derivative of -f**5/40 + 3*f**4/40 - f**3/20 - f**2/20 + 4*f. Factor x(p).
-(p - 1)**2*(5*p + 1)/10
Let s(m) be the third derivative of m**8/1848 - m**7/1155 - m**6/660 + m**5/330 + 7*m**2. Factor s(z).
2*z**2*(z - 1)**2*(z + 1)/11
Factor 2/13*r**2 + 4/13*r - 6/13.
2*(r - 1)*(r + 3)/13
Let f(c) = c**2 + 10*c + 23. Let u be f(-7). Let p(v) be the first derivative of 2*v**3 + 0*v + 1/2*v**4 - 1 + u*v**2. Factor p(z).
2*z*(z + 1)*(z + 2)
Let f(t) be the second derivative of t**6/180 - t**5/20 - t**4/3 - t**3/2 + 3*t. Let z(u) be the second derivative of f(u). Factor z(p).
2*(p - 4)*(p + 1)
Let 21*p**3 - 24*p**2 - 27*p**2 + 42*p**2 - 6*p**4 = 0. Calculate p.
0, 1/2, 3
Let f be (56/(-672))/((-2)/6). Factor -f*i**2 + 1/4*i**3 - 1/4*i + 1/4.
(i - 1)**2*(i + 1)/4
Solve 5/6*n - 1/2 - 1/6*n**2 - 1/6*n**3 = 0 for n.
-3, 1
Let j be (35/(-11))/(-1) - 4/22. Factor 0*b**2 - 1/4*b + 0*b**4 + 0 - 1/4*b**5 + 1/2*b**j.
-b*(b - 1)**2*(b + 1)**2/4
Let k(u) = 12*u**2 - 41*u - 16. Let s(m) = -60*m**2 + 204*m + 81. Let h(c) = 21*k(c) + 4*s(c). Factor h(x).
3*(x - 4)*(4*x + 1)
Let w = 10 - 16. Let q(n) = -n**3 - 7*n**2 - 8*n - 8. Let v be q(w). Factor -x**3 - 3*x**v - 2*x**2 - 2*x - 3*x**4 + 11*x**3.
-2*x*(x - 1)**2*(3*x + 1)
Let a(q) be the second derivative of -2*q**6/45 - 2*q**5/15 + q**4/9 + 4*q**3/9 - 3*q. Factor a(s).
-4*s*(s - 1)*(s + 1)*(s + 2)/3
Let a(p) be the second derivative of -p**7/63 + 4*p**6/45 - p**5/6 + p**4/9 + 7*p. What is m in a(m) = 0?
0, 1, 2
Let f(c) be the second derivative of 9*c**5/100 - c**4/30 + 14*c. Solve f(a) = 0.
0, 2/9
Suppose -6*q + 7*q - 2 = 0. Determine f, given that -f**3 - 3*f**4 + f**4 + f**4 + f**5 + f**q = 0.
-1, 0, 1
Let n(a) be the first derivative of 0*a**3 - 1/8*a**4 - 1/10*a**5 + 0*a**2 + 4 + 0*a. Factor n(i).
-i**3*(i + 1)/2
Let n be (35/(-25) + 1)/(7/(-15)). Factor n*x + 6/7*x**2 + 2/7*x**3 + 2/7.
2*(x + 1)**3/7
Let d(v) be the third derivative of v**8/4032 + v**7/1080 - v**6/270 - v**5/90 - v**4/6 - 6*v**2. Let n(y) be the second derivative of d(y). Factor n(x).
(x - 1)*(x + 2)*(5*x + 2)/3
Let h be (-2)/4*(11 + -11). What is q in -3*q**4 + h*q**3 + q + 0*q + 3*q**3 - 4*q + 3*q**2 = 0?
-1, 0, 1
Suppose -5*a = -13 - 7. Factor 5/3*r**3 - 3*r**2 + 7/3*r - 1/3*r**a - 2/3.
-(r - 2)*(r - 1)**3/3
Let b(o) be the first derivative of 2*o**2 - 7/20*o**5 - 1/4*o**4 + 0*o**3 - 3 + 0*o. Let r(x) be the second derivative of b(x). Factor r(y).
-3*y*(7*y + 2)
Let o(n) be the third derivative of -1/105*n**5 + 0 + n**2 + 0*n**4 + 0*n + 2/21*n**3. Factor o(y).
-4*(y - 1)*(y + 1)/7
Let b(s) be the third derivative of -s**8/112 + s**7/70 + s**6/40 - s**5/20 + 8*s**2. Determine t, given that b(t) = 0.
-1, 0, 1
Let p(z) be the first derivative of -2/11*z - 1/11*z**2 + 4/33*z**3 - 2 + 1/11*z**4 - 2/55*z**5 - 1/33*z**6. Factor p(w).
-2*(w - 1)**2*(w + 1)**3/11
Suppose -58/7*q**3 + 32/7*q**4 - 6/7*q**5 - 8/7*q + 40/7*q**2 + 0 = 0. What is q?
0, 1/3, 1, 2
Factor -2/9*p**2 + 0 - 2/9*p**3 + 0*p.
-2*p**2*(p + 1)/9
Let s(w) = 3*w**2 - 1. Let z be s(-1). Factor 5/3*o**4 - o - 7/3*o**z + 2/3 + o**3.
(o - 1)*(o + 1)**2*(5*o - 2)/3
Let a = -9 - -12. Let u(l) be the first derivative of -3 + 1/15*l**a + 0*l**2 - 1/5*l. Suppose u(w) = 0. Calculate w.
-1, 1
Let h(p) be the third derivative of p**7/126 + p**6/72 - p**5/36 - 5*p**4/72 - 4*p**2. Determine t so that h(t) = 0.
-1, 0, 1
Factor 1/6*d - 1/6*d**2 + 0.
-d*(d - 1)/6
Let h(j) be the third derivative of j**8/70560 - j**6/2520 + j**5/12 - 11*j**2. Let z(c) be the third derivative of h(c). What is m in z(m) = 0?
-1, 1
Let h(q) be the first derivative of 28*q**5/5 - 26*q**4 + 36*q**3 - 8*q**2 - 16*q - 6. Factor h(f).
4*(f - 2)*(f - 1)**2*(7*f + 2)
Let a(b) be the second derivative of -5*b**9/4536 - b**8/210 - b**7/140 - b**6/270 - b**3/2 - b. Let k(r) be the second derivative of a(r). Solve k(h) = 0.
-1, -2/5, 0
Let u(w) be the first derivative of 3*w**5 + 2*w**2 - 4 - 2*w**5 + w**5 - 1 + 6*w**4 + 6*w**3. Let u(z) = 0. Calculate z.
-1, -2/5, 0
Factor 20 + 10 - 9 - 3*p**2 + 30*p + 12.
-3*(p - 11)*(p + 1)
Let s(c) be the first derivative of c**4/5 + 2*c**3/15 - 2*c**2/5 - 2*c/5 - 6. Determine g so that s(g) = 0.
-1, -1/2, 1
Suppose -3*p = -3*l, l - 2*l + 2*p - 4 = 0. Suppose -2*h - 4 = 2*u, -5*u = -4*h - 3*u + l. Let -m**2 + 0 - 1/2*m**5 + 3/2*m**3 + 0*m + h*m**4 = 0. What is m?
-2, 0, 1
Suppose 4*t - 5*y = 10, 2*y - 7*y - 10 = 3*t. Let t*l + 0 - 1/3*l**3 + 2/3*l**2 - 8/3*l**4 - 5/3*l**5 = 0. What is l?
-1, 0, 2/5
Let c(y) = -7*y - 103. Let w be c(-15). Factor 9/4*z + 3/4*z**w + 3/2.
3*(z + 1)*(z + 2)/4
Let m(w) be the third derivative of 25*w**7/126 - 35*w**6/36 - 3*w**5 - 29*w**4/9 - 16*w**3/9 - 32*w**2. Factor m(v).
(v - 4)*(5*v + 2)**3/3
Factor -19 + 499*s - 21 - 469*s - 5*s**2.
-5*(s - 4)*(s - 2)
Factor -1/5*d**3 + 1/5*d + 2/5 - 2/5*d**2.
-(d - 1)*(d + 1)*(d + 2)/5
Let o = -15 - -15. Suppose -2/9*d**2 + 2/9*d + o = 0. Calculate d.
0, 1
Let t(s) = s**4 + s**3 + s**2 + 1. Let c(w) = -11*w**4 + 31*w**3 - 38*w**2 + 12*w - 2. Let u(m) = c(m) + 2*t(m). Suppose u(v) = 0. What is v?
0, 2/3, 1, 2
Let z(s) be the second derivative of -s**5/16 + 65*s**4/48 - 10*s**3 + 45*s**2/2 - 40*s. Factor z(l).
-5*(l - 6)**2*(l - 1)/4
Let l(w) be the second derivative of -w**5/60 + 7*w**4/144 - w**3/36 - w**2/24 + 8*w. Factor l(r).
-(r - 1)**2*(4*r + 1)/12
Factor 3/5*r**2 + 3/5*r + 0.
3*r*(r + 1)/5
Let d(i) be the first derivative of 2*i**5/5 + i**4/2 - 2*i**3/3 - i**2 - 1. Find m, given that d(m) = 0.
-1, 0, 1
Let t = -611/804 - -2/201. Let m = 25/12 + t. Factor m*r - 2/3*r**3 - 2/3*r**2 + 0.
-2*r*(r - 1)*(r + 2)/3
Suppose -2*u + 9 = -u. Suppose -5*s = -t + 10 + u, -3 = 3*t + 5*s. Let -2*j**2 + j**2 - 3*j**2 - 2*j + 2*j**5 + t*j**4 = 0. What is j?
-1, 0, 1
Factor -1/4 + 1/4*g**2 + 0*g.
(g - 1)*(g + 1)/4
Suppose -3*r + 4*r = 2. Solve 2 - r - 4*d**3 - 9*d**2 - 6*d + 3 - 4 = 0 for d.
-1, -1/4
Let u = 0 - 0. Let k(q) be the third derivative of 1/90*q**5 + 3*q**2 + 1/360*q**6 + 0 + 0*q + u*q**3 + 1/72*q**4. Factor k(s).
s*(s + 1)**2/3
Let p(y) be the third derivative of y**8/560 + y**7/140 + y**6/120 - 2*y**3/3 + 5*y**2. Let d(x) be the first derivative of p(x). Factor d(h).
3*h**2*(h + 1)**2
Let n(t) be the second derivative of 3*t**5/20 - t**4/2 - t**3/2 + 3*t**2 - 17*t. Determine o so that n(o) = 0.
-1, 1, 2
Let r(b) = b**2 - 36. Let i be r(6). Let z(k) be the second derivative of 3/2*k**2 + 1/4*k**4 + 3*k + i + k**3. Find l, given that z(l) = 0.
-1
Let u(n) be the second derivative of -n**7/630 + n**6/144 - n**5/120 - n**4/4 + 3*n. Let l(m) be the third derivative of u(m). Factor l(y).
-(y - 1)*(4*y - 1)
Let m = -283/60 - -24/5. Let j(c) be the first derivative of -3 + 0*c - m*c**3 + 3/16*c**4 - 1/4*c**2. Find x such that j(x) = 0.
-2/3, 0, 1
Suppose j + 4*j + 0*j = 0. Factor -2/3*v**2 + 0*v + j - 2/3*v**3.
-2*v**2*(v + 1)/3
Let o = 26224/3 - 8829. Let z = -87 - o. Find u, given that 0 + 2/3*u**2 - 2/3*u**3 + z*u - 2/3*u**4 = 0.
-1, 0, 1
Let t(g) = g**2 + g - 1. Let h(r) = 5*r**3 + 45*r**2 + 40*r - 20. Let o(p) = -h(p) + 20*t(p). Factor o(m).
-5*m*(m + 1)*(m + 4)
Let b be (3 - 1)/(16/24). Suppose -h + b - 8 = -5*k, 2*h + 5*k - 5 = 0. Find a, given that 1/4*a + h + 1/4*a**2 = 0.
-1, 0
Let h(t) = -6. Let n(j) = -j - 25. Let i(m) = -9*h(m) + 2*n(m). Let v be i(0). Sup