ctor z(y).
3*(y - 4)**2*(y - 1)*(y + 4)
Find u, given that -80*u**2 + u**4 + 3*u**4 + 76*u**2 - 4*u**3 + 4*u**5 = 0.
-1, 0, 1
Suppose 0 = 2*b + z - 6, b + 1 + 3 = 3*z. Find x such that -4/9*x - 2/9 - 2/9*x**b = 0.
-1
Suppose j + 1/3*j**2 + 0 = 0. What is j?
-3, 0
Let 12 + 22/3*l + 2/3*l**2 = 0. What is l?
-9, -2
Suppose -5*t = 0, -16*t = 13*d - 12*t. Factor -y**2 + d*y + y**4 + 1/2*y**5 + 0 - 1/2*y**3.
y**2*(y - 1)*(y + 1)*(y + 2)/2
Let c = 3517/7030 + -1/3515. Determine n, given that n**3 - 1/2 - c*n**4 + n**2 - 1/2*n**5 - 1/2*n = 0.
-1, 1
Suppose n - 6*n + 3*o - 28 = 0, n = -3*o - 2. Let q = n + 21. Solve -q + 38*l - 14*l**3 - 68*l**2 - 65*l - 53*l - 2*l**3 = 0 for l.
-2, -1/4
Let r be (92 - 94)/((6/(-4))/((-9)/(-33))). Factor -6/11 + 2/11*h**2 + r*h.
2*(h - 1)*(h + 3)/11
Let a(c) be the third derivative of -c**6/2520 + c**4/168 - 4*c**3 + 14*c**2. Let m(k) be the first derivative of a(k). Find b such that m(b) = 0.
-1, 1
Suppose -12*d + 2 = -58. Let x(u) be the second derivative of -3*u**2 - 3/20*u**5 + d*u + 3/2*u**3 + 0*u**4 + 0. Determine p, given that x(p) = 0.
-2, 1
Let d = 503/4 - 7529/60. Let y(s) be the second derivative of -8/5*s**2 + d*s**3 - s - 1/60*s**4 + 0. Suppose y(a) = 0. Calculate a.
4
Let x(y) = -y**2 - 10*y - 7. Let b be x(-9). Factor 102*u**b - 102*u**2 + 3*u**3.
3*u**3
Let z(f) = 4*f**2 + 127*f + 515. Let y be z(-27). Find w, given that -4*w**3 + 8/3*w**4 - 2/3*w + 8/3*w**y + 0 - 2/3*w**5 = 0.
0, 1
Let r(x) be the third derivative of -x**6/180 - x**5/10 - 5*x**4/9 - 4*x**3/3 - 10*x**2 - 3. Factor r(z).
-2*(z + 1)*(z + 2)*(z + 6)/3
Let j(z) be the third derivative of 1/60*z**5 + 0*z**3 + 0 + 0*z**6 - 1/630*z**7 + 8*z**2 + 0*z + 1/36*z**4. Find h, given that j(h) = 0.
-1, 0, 2
Let d(j) be the second derivative of -j**6/120 + 3*j**5/8 - 75*j**4/16 - 31*j + 3. Factor d(c).
-c**2*(c - 15)**2/4
Let c(v) = v**3 - 15*v**2 + 13*v + 18. Let a be c(14). Let i(m) = m + 12. Let w be i(-9). Suppose -w*b**3 - 3*b**3 + 10*b**a - 7*b**4 + 3*b**2 = 0. What is b?
0, 1
Let l = 2655 + -10619/4. Let o(d) be the second derivative of l*d**5 + 0*d**2 - 5/3*d**3 + 5/12*d**4 + 0 - 8*d. What is n in o(n) = 0?
-2, 0, 1
Let c(h) be the third derivative of h**7/350 + 3*h**6/200 - 3*h**5/100 - 11*h**4/40 - 3*h**3/5 + 117*h**2. Determine u, given that c(u) = 0.
-3, -1, 2
Suppose -10*n + 6*n + 16 = 0. Determine y, given that 19*y**4 - 2*y**n - 16*y**3 + 2*y**4 - 4*y**5 + y**4 = 0.
0, 1, 4
Let i(z) = 3*z**3 - 6*z**2 - 56*z + 76. Let n(s) = -s**3 + 5*s**2 - s - 1. Let o(w) = -i(w) - 4*n(w). Let o(q) = 0. Calculate q.
2, 6
Let j(f) be the third derivative of f**7/280 - 13*f**6/160 - f**5/80 + 13*f**4/32 + 3*f**2 + 10*f. Factor j(t).
3*t*(t - 13)*(t - 1)*(t + 1)/4
Let j(v) be the first derivative of -1/18*v**6 + 1/9*v**3 + 1/6*v**2 - 1/6*v - 1/3*v**4 + 7/30*v**5 - 12. Find n such that j(n) = 0.
-1/2, 1
Suppose 2*u = u + 4*k - 6, 5*u - 2*k - 6 = 0. Suppose -s = 2*v + 10, 25 = 23*s - 25*s - 5*v. Factor -u*p**2 + s + p + 5/4*p**3 - 1/4*p**4.
-p*(p - 2)**2*(p - 1)/4
Let n(k) = -19*k + 285. Let c be n(15). Let o(l) be the third derivative of -1/140*l**5 + c*l - l**2 - 3/14*l**3 - 1/14*l**4 + 0. Factor o(q).
-3*(q + 1)*(q + 3)/7
Solve -1/4*j**2 + 263/4 - 131/2*j = 0.
-263, 1
Let s be (-2 + 2)/(-7 + 5). Factor 0*c**2 + s*c - 2/19*c**3 + 0.
-2*c**3/19
Factor 18/5*l**2 + 6 - 47/5*l - 1/5*l**3.
-(l - 15)*(l - 2)*(l - 1)/5
Let a(p) = 9*p**2 + 20*p + 24. Let x(v) = v**2 + 1. Let o be (-2)/6 + 60/45. Let f(i) = o*a(i) - 4*x(i). Factor f(w).
5*(w + 2)**2
Let j(o) = -2*o**2 - o - 2. Let c(p) = 15*p**2 - 9*p + 16. Let f(w) = 3*c(w) + 24*j(w). Determine h so that f(h) = 0.
-17, 0
Let d = 7 + -4. Find a, given that -9*a**2 + 2 - 16*a**2 + 1 + 10*a**2 - 9*a**d - 3*a = 0.
-1, 1/3
Factor 4*o**3 + 130*o**2 - 120*o - 5*o**4 - 2 + 3 - 1 - 9*o**3.
-5*o*(o - 4)*(o - 1)*(o + 6)
Suppose -2*l = 3*c + 2*c - 12, 5*l - 15 = -5*c. Suppose 4*s**3 + 11*s**c - 2*s**2 + 3*s**2 + 0*s**2 = 0. Calculate s.
-3, 0
Let r = -629 - -635. Let u(h) be the second derivative of 1/150*h**r - 1/30*h**3 - 8*h - 3/100*h**5 + 0*h**2 + 1/20*h**4 + 0. Find y, given that u(y) = 0.
0, 1
Let s(f) = 17*f**2 - 169*f - 15. Let l(u) = 21*u**2 - 168*u - 18. Let z(q) = -5*l(q) + 6*s(q). Factor z(b).
-3*b*(b + 58)
Factor 88*w**2 - 2*w**4 - 43588 + 16*w**3 + 96*w + 43588.
-2*w*(w - 12)*(w + 2)**2
Find n, given that 0 - 8/13*n - 14/13*n**2 = 0.
-4/7, 0
Let u = -28 + 10. Let v be (u/45)/(1/(-5)). Factor 3 + 3*s + 9*s**v - 2*s**2 + 7*s + 0.
(s + 1)*(7*s + 3)
Let a(x) = x**3 + 2*x**2 - 9*x + 12. Let s be a(-7). Let p = -848/5 - s. Factor 4/5*y**3 - 2/5*y**2 + 1/5*y**5 - y + 4/5*y**4 - p.
(y - 1)*(y + 1)**3*(y + 2)/5
Let y be 50/8 + 6/8. Suppose y = -f - 3*z, 2*f - 3*z = f + 11. Factor -4/9*d**f + 0 + 2/9*d + 2/9*d**3.
2*d*(d - 1)**2/9
Let v(s) = -27*s**2 + 272*s - 18. Let o be v(10). Factor 5/2*k**o + 5*k + 5/2.
5*(k + 1)**2/2
Suppose -4*g - g + 3*a - 5 = 0, 0 = 5*g - 2*a. What is d in 20*d**3 - 12*d**3 - 2*d**4 - 16*d**g - 2*d**4 + 12*d**3 = 0?
0, 1, 4
Suppose -2/9*w**3 - 16/9*w + 0 + 4/3*w**2 = 0. Calculate w.
0, 2, 4
Let r(y) be the third derivative of 2/15*y**4 - 1/30*y**5 + 0 - 4/15*y**3 + 0*y - 6*y**2 + 1/300*y**6. Factor r(i).
2*(i - 2)**2*(i - 1)/5
Let k(b) be the second derivative of b**6/20 - b**4/4 + 3*b**2/4 - 90*b. Factor k(t).
3*(t - 1)**2*(t + 1)**2/2
Let n(f) be the third derivative of f**7/420 + f**6/180 - 5*f**3/2 - 6*f**2. Let h(u) be the first derivative of n(u). Determine z, given that h(z) = 0.
-1, 0
Suppose -3*l = 5*m - 21, -l + 25 - 8 = 5*m. What is p in 2*p - p**2 + 0 - m + 2*p = 0?
1, 3
Let h(k) be the first derivative of -k**4/6 + 7*k**2/3 + 4*k - 40. Factor h(u).
-2*(u - 3)*(u + 1)*(u + 2)/3
Let f = 73 - 41. Let -5*b - 79 - f - 35*b - 4*b**2 + 11 = 0. What is b?
-5
Let n(h) be the second derivative of -h**4/6 - 3*h**3 + 10*h**2 + 29*h - 7. What is q in n(q) = 0?
-10, 1
Let a(t) be the first derivative of 3*t + 3/4*t**2 + 8 - 1/2*t**3. Suppose a(w) = 0. What is w?
-1, 2
Let c(m) be the second derivative of -6*m - 3/2*m**2 + 0 - 1/40*m**6 + 1/2*m**3 - 3/40*m**5 + 3/16*m**4. Factor c(q).
-3*(q - 1)**2*(q + 2)**2/4
Determine p so that -8*p**2 - 34*p**2 + 105*p + 50 - 6*p**2 - 3*p**3 + 8*p**3 = 0.
-2/5, 5
Suppose -11 = -3*x + d, 4*x + d + 1 = 2*x. Let -2*y**x - 4*y**2 + 3*y**4 - 5*y**3 + 2*y**3 + 0*y**3 = 0. Calculate y.
-1, 0, 2
Let f(y) be the third derivative of -17*y**7/1155 + 61*y**6/132 - 303*y**5/55 + 27*y**4 + 72*y**3/11 - 834*y**2. Determine n so that f(n) = 0.
-1/17, 6
Let d(z) = z**4 + z**3 + z**2 - z + 1. Let v(j) = -3*j**3 - 22*j + j**3 - 241 + 207 - 48*j + 2*j**4 - 46*j**2. Let p(b) = -2*d(b) - v(b). Factor p(u).
-4*(u - 4)*(u + 1)**2*(u + 2)
Let c(y) be the second derivative of y**10/30240 - y**8/3360 + y**6/720 + 31*y**4/12 + 3*y. Let v(a) be the third derivative of c(a). Factor v(r).
r*(r - 1)**2*(r + 1)**2
Let z(d) be the first derivative of d**6 - 303*d**5/5 + 897*d**4 + 2027*d**3 + 78*d**2 - 2028*d + 685. Find v, given that z(v) = 0.
-1, 1/2, 26
Let b(h) be the first derivative of 15*h**4/4 - 82*h**3 + 528*h**2 - 384*h + 39. Factor b(j).
3*(j - 8)**2*(5*j - 2)
Let v(o) be the third derivative of -o**6/108 + 31*o**5/135 + 41*o**4/108 - 26*o**3/27 - 3*o**2 + 5. Suppose v(a) = 0. Calculate a.
-1, 2/5, 13
Let m(g) be the first derivative of -1/22*g**4 - 14/33*g**3 - 29 - 15/11*g**2 - 18/11*g. Factor m(s).
-2*(s + 1)*(s + 3)**2/11
Determine a so that 20*a**3 + 5*a**4 - 5*a**5 - 7*a**3 - 8*a**3 - 5*a**2 = 0.
-1, 0, 1
Factor 176*r - 1000 + 7*r**2 - 11*r**2 - 936.
-4*(r - 22)**2
Let c(g) be the second derivative of -3*g**6/40 - 3*g**5/40 + g**4/4 + g**3/4 - 3*g**2/8 + 2*g - 4. Suppose c(w) = 0. Calculate w.
-1, 1/3, 1
Let w = -67 + 71. Suppose v - w*v + 5*t = -14, 4*v - 11 = -t. Factor 0*y + 0*y**2 + 0*y**v + 0 + 3/2*y**5 - 9/2*y**4.
3*y**4*(y - 3)/2
Factor -d + 13*d - 7958*d**2 + 675*d**3 + 8138*d**2.
3*d*(15*d + 2)**2
Let w(f) = 16*f**4 - 14*f**3 - 34*f**2 + 11. Let n(c) = -9*c**4 + 7*c**3 + 17*c**2 - c - 5. Let a(k) = 7*n(k) + 3*w(k). Determine v, given that a(v) = 0.
-1, -1/5, 2/3, 1
Let v = 1189/3 - 395. Factor -2/3 + 2/3*l**4 + 0*l**2 + v*l**3 - 4/3*l.
2*(l - 1)*(l + 1)**3/3
Let x(z) = -2*z**2 + 26*z - 41. Let n be x(11). Let w(m) be the first derivative of 50/21*m**n - 40/7*m**2 