actor -1/4*z**3 + 1/4*z**2 - 1/4 + 1/4*z.
-(z - 1)**2*(z + 1)/4
Suppose b - n + 4 = -b, 3*n - 6 = 0. Let m(h) = -h + 1. Let l(f) = 5*f**3 - f + 1. Let t(v) = b*m(v) + l(v). Factor t(s).
5*s**3
Let q be (-7)/6*-2 - 15/45. Let a(l) = l**2 - 7*l + 12. Let t be a(4). Factor -8/13 + 2/13*s**q + t*s.
2*(s - 2)*(s + 2)/13
Let r(t) = t**2 - t. Let a(c) be the first derivative of 4/3*c**3 - 5*c**2 - 4 + 8*c. Let z(p) = -a(p) + 2*r(p). Factor z(y).
-2*(y - 2)**2
Let m(c) be the second derivative of -2*c + 4/5*c**3 - 2/25*c**5 - 9/5*c**2 - 1/75*c**6 + 1/15*c**4 + 0. What is p in m(p) = 0?
-3, 1
Let v = -42578 + 170315/4. Determine r so that -1083/4*r**2 - v - 57/2*r = 0.
-1/19
Let n(x) be the second derivative of x**4/12 + x**3/6 - x**2/2 - 74*x. Let j = -3 + 2. Let u(c) = -4*c + 2. Let h(s) = j*u(s) - 2*n(s). Factor h(b).
-2*b*(b - 1)
Suppose h - j - 7 = 0, h - j = -6*j - 17. Suppose -a = h*v - 12, 4 = 3*a - v - 2. Factor -2*k**2 - 2/3 - 2*k - 2/3*k**a.
-2*(k + 1)**3/3
Suppose 17*b = 14*b - 63. Let w(x) = x**2 + x + 2. Let l(u) = -22 - 2*u**2 - 7*u**2 - 11*u + 2*u + 1. Let f(n) = b*w(n) - 2*l(n). Solve f(p) = 0 for p.
-1, 0
Let h = 3095/12668 - -18/3167. Factor 49/4 - 7/2*y + h*y**2.
(y - 7)**2/4
Let q be (198/(-72))/((-2)/8). Suppose -q*f + 4*f + 14 = 0. Let 16*i**3 + 8*i**3 + 538*i**2 + 254*i**f - 304*i - 348*i**3 + 32 = 0. Calculate i.
2/9, 2
Let d(r) be the first derivative of -5/3*r**3 - 3 - 15*r - 10*r**2. Determine f so that d(f) = 0.
-3, -1
Suppose u + 4*h = -8, 3*h + 6 = -0. Let l(z) be the third derivative of 0*z + u*z**3 + 0 - 1/80*z**5 - 7*z**2 + 1/16*z**4. Suppose l(j) = 0. What is j?
0, 2
Let f(v) be the first derivative of v**6/360 + v**5/120 + v**4/144 - 5*v**2/2 - 5. Let t(x) be the second derivative of f(x). Factor t(o).
o*(o + 1)*(2*o + 1)/6
Let a(b) be the third derivative of -5*b**8/672 - 23*b**7/420 + b**6/16 + 23*b**5/120 - 5*b**4/24 - 203*b**2 - 2. Let a(x) = 0. What is x?
-5, -1, 0, 2/5, 1
Suppose 0*a + 4*a + 8 = 0. Let g be (-4 + 5)/(a/(-30)). Factor g*h**5 - 11*h**5 - 4*h**3 - 2*h**2 + 6*h**2 - 4*h**4.
4*h**2*(h - 1)**2*(h + 1)
Let k(p) be the second derivative of -p**4/20 + p**3/2 + 21*p**2/5 + 105*p. Suppose k(z) = 0. What is z?
-2, 7
Determine n so that 2/9*n**3 + 8/9 - 2/9*n**5 + 22/9*n**2 + 8/3*n - 2/3*n**4 = 0.
-2, -1, 2
Let m be ((-9)/(-30))/(72/40). Let s(w) be the second derivative of -w**2 + w + 1/10*w**5 - 1/3*w**3 + m*w**4 + 0. Suppose s(u) = 0. Calculate u.
-1, 1
Let d = -5367868/35 + 153408. Let k = 206/5 - d. What is t in 4/7*t**2 + 0 + 8/7*t**5 - 18/7*t**3 + 0*t + k*t**4 = 0?
-2, 0, 1/4, 1
Suppose 4*f - 2*f + 5*q - 9 = 0, 2*f - 5*q - 19 = 0. Suppose 3*s = f*s - 20. Factor -4*x**2 + 2*x**3 - 12*x**4 - s*x**5 - 14*x**3 - 2*x**5 + 3*x**5.
-4*x**2*(x + 1)**3
Let m be (40 - 46) + 138/20. What is x in m + 3/2*x + 7/10*x**2 + 1/10*x**3 = 0?
-3, -1
Let d(x) = -x**2 - 8*x - 4. Let z be d(-7). Let g = 7 - z. Factor 3*t**2 + 4*t**3 - 2*t + 5*t - g*t**3 - 6*t**3.
-3*t*(t - 1)*(2*t + 1)
Let q(d) be the second derivative of d**5/15 - 13*d**4/9 - 28*d**3/9 + 7*d - 11. Find y such that q(y) = 0.
-1, 0, 14
Let m(i) be the third derivative of i**7/840 - i**6/120 + i**4/6 - i**3/6 - i**2. Let u(g) be the first derivative of m(g). Factor u(s).
(s - 2)**2*(s + 1)
Let z = 958973375/447 + -2145352. Let b = z - -4/149. Suppose b*p**2 + 3*p**3 + 1/3*p**5 + 0 + 2/3*p + 5/3*p**4 = 0. Calculate p.
-2, -1, 0
Let u(m) = 8*m + 91. Let d be u(-10). Let c(r) be the first derivative of -d + r**2 - 4/3*r - 2/9*r**3. Determine q so that c(q) = 0.
1, 2
Let m(c) be the first derivative of 2*c - 1/2*c**4 + 4/5*c**5 - 2*c**3 + 23 + c**2. Solve m(x) = 0 for x.
-1, -1/2, 1
Let a(p) be the first derivative of p**5/5 - 2*p**4 + 6*p**3 - 8*p**2 + 5*p - 240. Suppose a(t) = 0. Calculate t.
1, 5
Let a(q) be the first derivative of -10 + 1/30*q**4 - 2/75*q**5 + 0*q - 1/15*q**2 + 2/45*q**3. Find b such that a(b) = 0.
-1, 0, 1
Let n be (-2)/(-5) - 843/945. Let s = n - -5/7. Determine l, given that s*l + 0 + 4/9*l**2 + 2/9*l**3 = 0.
-1, 0
Let j(o) be the third derivative of -1/480*o**5 + 5*o**2 + 0*o**4 + 1/12*o**3 + 0*o + 0. Factor j(b).
-(b - 2)*(b + 2)/8
Let m(s) be the first derivative of -5*s**6/6 - 20*s**5 - 55*s**4/2 + 1300*s**3 - 7605*s**2/2 + 163. Factor m(v).
-5*v*(v - 3)**2*(v + 13)**2
Let h(y) be the third derivative of -1/15*y**5 + 0*y**3 + 0 - 6*y**2 + 0*y + 1/3*y**4. What is z in h(z) = 0?
0, 2
Let p(v) be the third derivative of 0 - 23*v**2 + 2*v**3 - 1/20*v**5 + 0*v + 0*v**4. Find h, given that p(h) = 0.
-2, 2
Let i be (-13)/52 - ((-130)/(-8))/(-1). Let -3*o**2 - i*o**2 - 2*o**2 - 19*o + 2 = 0. Calculate o.
-1, 2/21
Let n = 164 + -149. Factor -10*i**3 - 18*i**2 - 7*i**4 - 4 + 37*i**4 - 17*i**4 - 14*i - n*i**4.
-2*(i + 1)**3*(i + 2)
Let b(h) be the third derivative of 0*h**3 - 1/24*h**4 + 1/60*h**5 + 14*h**2 + 0 + 0*h. Factor b(m).
m*(m - 1)
Let n be 40/176 + (9/(-6))/(-3). Let g(u) be the first derivative of -n*u - 1/11*u**4 - 2/55*u**5 + 3 + 2/11*u**3 + 4/11*u**2. Solve g(c) = 0.
-2, 1
Let b be -9 + (-117)/(-13) + (-3)/(-2). Let b*d**3 + 0*d**2 + 0 - 6*d = 0. Calculate d.
-2, 0, 2
Let -5*w**2 - 19*w**2 + 15*w**2 - 4 + 20*w = 0. Calculate w.
2/9, 2
Let b(j) = -j**3 + 8*j**2 - 8*j + 10. Let i be b(7). Suppose 0 = 4*h - i*h - 24. Suppose -22 + 22*y - 37*y - 3*y**3 - h*y - 20*y**2 + 4 = 0. Calculate y.
-3, -2/3
Factor -8/5*p - 4/5*p**3 - 4*p**2 + 32/5.
-4*(p - 1)*(p + 2)*(p + 4)/5
Let u = -2 + 58. Factor -s**3 - 65*s**2 + 127*s**2 - u*s**2 - 5*s.
-s*(s - 5)*(s - 1)
Let d(k) be the second derivative of k**7/105 + 8*k**6/225 + 2*k**5/75 - 64*k. Factor d(x).
2*x**3*(x + 2)*(3*x + 2)/15
Let -381*w**2 - 76*w**3 + 329*w**2 - 8*w**5 + 2 - 44*w**4 - 2 - 12*w = 0. Calculate w.
-3, -1, -1/2, 0
Let u = 1211000636/1043 - 1161074. Let a = u + -1/149. Suppose 0 + 12/7*h**4 + 18/7*h**3 + a*h + 12/7*h**2 + 3/7*h**5 = 0. What is h?
-1, 0
Let n(w) = 8*w**3 - 14*w**2 + 26*w - 10. Let q(s) = s**3 + s**2 - 1. Let f(t) = n(t) - 10*q(t). Factor f(p).
-2*p*(p - 1)*(p + 13)
Suppose -64*d + 138*d = 46*d. Find n such that 5/4*n**3 - 45/4*n**2 + d*n + 0 = 0.
0, 9
Let y(c) = -c**3 + 43*c**2 - 42*c. Let h(r) = 15*r**3 - 687*r**2 + 672*r. Let o(w) = -2*h(w) - 33*y(w). Factor o(b).
3*b*(b - 14)*(b - 1)
Let i = 18659/5 + -3749. Let q = i + 18. Find w, given that -16/5 + q*w**4 + 16/5*w**3 - 16/5*w + 12/5*w**2 = 0.
-2, -1, 1
Let r(k) = k**2 + 14*k + 36. Let i be r(-11). Solve -3*j**2 + j**2 + 0*j**3 - i*j**3 + j**3 = 0 for j.
-1, 0
Let q(j) be the first derivative of j**6/6 + j**5 + 7*j**4/4 - j**3/3 - 4*j**2 - 4*j - 258. Factor q(b).
(b - 1)*(b + 1)**2*(b + 2)**2
Factor 4/7*a**3 + 0 + 0*a**2 - 4/7*a.
4*a*(a - 1)*(a + 1)/7
Let z(r) = -r**5 + 5*r**4 + r**3 - 2*r**2 + 3*r + 3. Let t(a) = -3*a**5 + 11*a**4 - 3*a**2 + 5*a + 5. Let p(x) = 3*t(x) - 5*z(x). Factor p(i).
-i**2*(i - 1)*(2*i - 1)**2
Let r be (1 - -7) + 1/(-1). Let o(u) be the first derivative of -3/8*u**2 + 1/16*u**4 - 1/2*u + 0*u**3 - r. Factor o(w).
(w - 2)*(w + 1)**2/4
Let k(g) be the first derivative of g**4/5 - 32*g**3/15 + 14*g**2/5 + 45. Factor k(j).
4*j*(j - 7)*(j - 1)/5
Let o(w) = 4*w**3 + 14*w**2 + 25*w + 13. Let n(c) = c + 3*c**2 - 6*c**2 + c**3 - 2*c**2 + 1 + 4*c**2. Let g(u) = n(u) - o(u). Factor g(r).
-3*(r + 1)*(r + 2)**2
Let q = -32069/30 - -1069. Let s(c) be the second derivative of -1/9*c**3 - 2/3*c**2 - 1/45*c**6 + 1/6*c**4 + c + q*c**5 + 0. Let s(p) = 0. What is p?
-1, 1, 2
Let f(t) be the second derivative of -t**4/3 - 2*t**3 + 99*t. Factor f(u).
-4*u*(u + 3)
Let t(z) be the third derivative of -9*z**5/80 - 53*z**4/16 + 3*z**3 - 17*z**2 + 1. Factor t(y).
-3*(y + 12)*(9*y - 2)/4
Factor -6/7*l**4 + 0*l + 0 + 0*l**2 + 2/7*l**5 - 8/7*l**3.
2*l**3*(l - 4)*(l + 1)/7
Let v be 96/(-80)*((-46)/90 - (-4)/10). Factor -2/15*q**2 + 4/15 - v*q.
-2*(q - 1)*(q + 2)/15
Let y = 2/833 - -813/8330. Let v(z) be the first derivative of -1/24*z**6 + 0*z**4 + y*z**5 + 1/8*z**2 - 1/6*z**3 - 1 + 0*z. Factor v(g).
-g*(g - 1)**3*(g + 1)/4
Let s(c) be the third derivative of -c**7/490 - 73*c**6/280 - 90*c**5/7 - 1944*c**4/7 - 6912*c**3/7 - 68*c**2. Factor s(m).
-3*(m + 1)*(m + 24)**3/7
Let p(o) be the third derivative of o**6/60 + 3*o**5/10 + 5*o**4/4 + 7*o**3/3 + 201*o**2. Let p(z) = 0. Calculate z.
-7, -1
Factor k - 5/2*k**2 