etermine q so that 1/3*q**2 + 0 + 0*q**3 + 2/9*q - 1/9*q**4 = 0.
-1, 0, 2
Suppose -2*m = m + u - 43, -m - 2*u = -11. Suppose -3*b - 4*y + 37 - 2 = 0, 0 = 3*y - m. Find r such that 0*r + 0*r**2 + 1/3*r**4 + 0 - 4/3*r**b + 0*r**3 = 0.
0, 1/4
Let f(n) be the first derivative of -n**3/24 - 7. Factor f(i).
-i**2/8
Let k(u) be the second derivative of -u**10/10080 + u**9/2520 - u**7/420 + u**6/240 - u**4/2 - 8*u. Let z(p) be the third derivative of k(p). Factor z(n).
-3*n*(n - 1)**3*(n + 1)
Let l = -14 - -20. Let i(g) = g - 6*g**2 - l + 3*g + 2 + g. Let c(v) = 5*v**2 - 4*v + 3. Let j(m) = -5*c(m) - 4*i(m). Solve j(n) = 0.
-1, 1
Let h(q) = -q**5 + 4*q**4 - 2*q**3 - q. Let u(j) = 2*j - 3*j**3 - 2*j**2 - 4*j + 5*j**4 + 3*j**2 - j**5. Let v(b) = -3*h(b) + 2*u(b). Factor v(k).
k*(k - 1)**3*(k + 1)
Let n(p) = -p - 8. Let c be n(-6). Let u be (-38)/(-7) + 8/c. Factor u*z**3 + 4/7 + 2/7*z - 16/7*z**2.
2*(z - 1)**2*(5*z + 2)/7
Solve 0*v + 3/2*v**4 + 3/2*v**3 + 1/2*v**5 + 1/2*v**2 + 0 = 0.
-1, 0
Suppose -3*n = -0*n - 3. Let j be n + -2 + 14/8. Factor 1/2*t**4 + 0*t**2 + 0*t**3 + j*t**5 + 0*t + 0.
t**4*(3*t + 2)/4
Let k(o) be the first derivative of -o**6/480 - o**5/80 - o**4/32 - o**3/24 + o**2/2 - 4. Let w(r) be the second derivative of k(r). Factor w(x).
-(x + 1)**3/4
Let r(z) be the first derivative of z**6/33 + 2*z**5/55 - z**4/22 - 2*z**3/33 - 25. Factor r(t).
2*t**2*(t - 1)*(t + 1)**2/11
Let u(g) be the second derivative of 0*g**2 - 4*g + 1/60*g**4 + 0*g**3 + 0. Suppose u(x) = 0. What is x?
0
Let q(l) be the second derivative of -3/7*l**2 - 5*l - 1/28*l**4 + 0 - 3/14*l**3. Factor q(m).
-3*(m + 1)*(m + 2)/7
Let b(l) be the first derivative of -2 + 1/3*l**3 + 1/2*l**2 + 0*l. Suppose b(q) = 0. What is q?
-1, 0
Let h = 17/38 + 1/19. Factor -h + 1/2*a**2 - 1/2*a**3 + 1/2*a.
-(a - 1)**2*(a + 1)/2
Let f(d) = -2*d**3 + 5*d**2 - d + 1. Let t(q) = -2*q**3 + 5*q**2 - q. Let m(o) = 4*f(o) - 6*t(o). Factor m(l).
2*(l - 2)*(l - 1)*(2*l + 1)
Let j(m) be the second derivative of m**5/110 - 2*m**4/33 + 5*m**3/33 - 2*m**2/11 - 9*m. Factor j(c).
2*(c - 2)*(c - 1)**2/11
Suppose -10*t + 24*t = 12*t. Let g(m) be the first derivative of t*m**2 + 0*m**3 + 2/15*m**5 + 0*m**4 - 1 + 0*m. Solve g(c) = 0.
0
Factor -55 + 55 + 8*c + 2*c**2.
2*c*(c + 4)
Let n(u) be the second derivative of 0*u**2 - 1/12*u**6 + u - 1/12*u**4 + 0*u**3 + 0 + 7/40*u**5. Factor n(m).
-m**2*(m - 1)*(5*m - 2)/2
Let o(n) be the third derivative of 0*n + 1/3*n**3 + 0 + n**2 - 7/24*n**4 - 1/15*n**5. Factor o(u).
-(u + 2)*(4*u - 1)
Find z such that -1/4*z**2 + 7/4*z**3 + 1/4*z**5 - 1 + 5/4*z**4 - 2*z = 0.
-2, -1, 1
Let d(l) be the first derivative of -1/5*l**3 + 0*l - 1 - 3/10*l**2. Factor d(u).
-3*u*(u + 1)/5
Let n = -18 - -21. Let s(c) be the second derivative of 0 + 1/4*c**2 - c + 1/6*c**n + 1/24*c**4. Solve s(t) = 0 for t.
-1
Let x = 4907920/22591071 + 95/87903. Let n = 1/257 + x. Determine c so that 4/9*c**5 - 8/9*c**3 - n*c**4 - 2/9 + 4/9*c + 4/9*c**2 = 0.
-1, 1/2, 1
Let q(y) = y**4 - y**3 - y. Let a(l) = -2*l**5 - 2*l**4 + 4*l**3 + 8*l**2 - 10*l. Let s(n) = -2*a(n) + 4*q(n). Suppose s(u) = 0. Calculate u.
-2, 0, 1
Let a(t) be the second derivative of 3*t**5/80 + t**4/4 + t**3/2 + 42*t. Factor a(g).
3*g*(g + 2)**2/4
Let g be 8109/442 + -16 - 2/4. Determine t so that -2*t**2 - 2/13*t**4 + 12/13*t**3 + g*t - 8/13 = 0.
1, 2
Let q(x) be the first derivative of 8*x**6/3 + 4*x**5 - 3*x**4 - 20*x**3/3 - 2*x**2 + 4. Solve q(u) = 0 for u.
-1, -1/4, 0, 1
Let d be (-2365)/(-1462) - (-1 - (-38)/34). Factor 1/2*l**5 + l**2 + 1/2 - 3/2*l**4 + l**3 - d*l.
(l - 1)**4*(l + 1)/2
Let a(i) = 2*i**3 + 10*i**2 - 8*i - 13. Let z(r) = 5*r**3 + 20*r**2 - 15*r - 25. Let t(c) = -5*a(c) + 3*z(c). Factor t(w).
5*(w - 1)*(w + 1)*(w + 2)
Let y(i) be the second derivative of i**4/18 - i**3/9 + 13*i. Determine n so that y(n) = 0.
0, 1
Let b(v) be the third derivative of 0*v**3 + 0*v + 1/840*v**8 + 2*v**2 + 0*v**4 - 4/525*v**7 + 1/60*v**6 + 0 - 1/75*v**5. Factor b(k).
2*k**2*(k - 2)*(k - 1)**2/5
Factor -10 - 6 - 10*h - 2*h + 4*h**2 + 0*h**2.
4*(h - 4)*(h + 1)
Let k(b) be the first derivative of b**6/24 - b**5/20 - 3*b**4/16 + 5*b**3/12 - b**2/4 + 25. Factor k(a).
a*(a - 1)**3*(a + 2)/4
Let o(w) be the third derivative of w**7/1155 - w**6/660 - w**5/330 + w**4/132 - 3*w**2. Factor o(v).
2*v*(v - 1)**2*(v + 1)/11
Let k = 219 - 219. Factor -1/4*f + 1/4*f**3 + 0*f**2 + k.
f*(f - 1)*(f + 1)/4
Let k(w) be the second derivative of w**6/315 - 2*w**5/35 + 8*w**4/21 - 64*w**3/63 - 5*w. Determine f so that k(f) = 0.
0, 4
Let c(s) be the first derivative of -8*s**5/25 + 3*s**4/2 - 8*s**3/5 - 4*s**2/5 + 35. Let c(g) = 0. Calculate g.
-1/4, 0, 2
Suppose 10 = d - 6*d. Let f be 6/(-9)*21/d. Factor -f*b**4 + 2*b**2 + 3*b**4 - 11*b**3 + 4*b**3.
-b**2*(b + 2)*(4*b - 1)
Factor -2/3*d**2 + 2*d + 0.
-2*d*(d - 3)/3
Let o(x) be the first derivative of 0*x**2 + 0*x - 1 - 2/57*x**3. Find i, given that o(i) = 0.
0
Let v be ((-1)/(-10))/(19/304). Factor 0*m**3 - 4/5*m**4 + v*m + 0 + 12/5*m**2.
-4*m*(m - 2)*(m + 1)**2/5
Let v = 178 + -1244/7. Factor 0*t**2 - 4/7*t**3 - v*t**4 + 2/7 + 4/7*t.
-2*(t - 1)*(t + 1)**3/7
Let f(t) be the second derivative of t**7/105 - t**6/25 + t**5/50 + t**4/10 - 2*t**3/15 - 10*t. Let f(h) = 0. Calculate h.
-1, 0, 1, 2
Let d = 18/215 + 5/43. Let 7/5*s**2 - 3*s - d*s**3 + 9/5 = 0. Calculate s.
1, 3
Let j(x) = 16*x**2 + 16 + 49*x - 2*x**3 - 48*x + 3*x**3. Let v be j(-16). Let v - d + 1/2*d**2 = 0. Calculate d.
0, 2
Let y(h) be the second derivative of h**7/147 - 2*h**6/105 + h**4/21 - h**3/21 + h. Factor y(m).
2*m*(m - 1)**3*(m + 1)/7
Factor -7*u**2 - 45*u**2 - 44*u + 1 - 9 - 10*u**3 - 6*u**3.
-4*(u + 1)*(u + 2)*(4*u + 1)
Let b(y) be the first derivative of -y**4/16 + 3*y**2/8 - 4*y - 3. Let i(s) be the first derivative of b(s). Find l, given that i(l) = 0.
-1, 1
Solve -1/5*g**2 + 4/5 - 3/5*g = 0.
-4, 1
Let w = -5 - -7. Solve 2*b**3 - 8*b**3 + 2*b**w - 3*b**4 + b**2 + 6*b = 0.
-2, -1, 0, 1
Let p(t) = t**2 - 7*t + 10. Let l be p(6). Let c(f) be the first derivative of -l*f**2 - 8*f - 2/3*f**3 - 2. Factor c(r).
-2*(r + 2)**2
Let f = 45 + -41. Let c(t) be the second derivative of -1/6*t**2 - 2/9*t**f + 0 - 5/18*t**3 - 1/15*t**5 + 3*t. Factor c(h).
-(h + 1)*(2*h + 1)**2/3
Let y(p) = 8*p**2 + 6*p. Let g(a) = 5*a**2 + 4*a. Let x(o) = 7*g(o) - 5*y(o). Factor x(h).
-h*(5*h + 2)
Let w = 9 - 6. Let s(r) be the third derivative of -2*r**2 + 0*r - 1/315*r**7 - 1/360*r**6 + 0 - 1/1008*r**8 + 0*r**4 + 0*r**5 + 0*r**w. Factor s(b).
-b**3*(b + 1)**2/3
Let g be (-2)/(-20)*-68 - -7. Solve 0*w + 0 - g*w**4 + 2/5*w**2 - 1/5*w**3 = 0 for w.
-2, 0, 1
Suppose -3*n = -0*r - 3*r, 0 = n - 3. Factor 0*t + 2*t**2 - 8/3 - 2/3*t**r.
-2*(t - 2)**2*(t + 1)/3
Suppose -5*k + 48 = -k. Factor -16 + t**3 + k + 3*t**2 + t**3 - t**4 - 4*t.
-(t - 2)**2*(t + 1)**2
Suppose -5*a + 5*s + 13 + 2 = 0, a = -4*s + 23. Find r such that 4 + 6*r**2 - a*r**2 + 0 = 0.
-2, 2
Let k be (2*7/(-84))/(2/(-3)). Solve 0*r + 1/4*r**2 - k*r**3 + 0 = 0.
0, 1
Suppose -8/9 - 2/9*t**2 + 8/9*t = 0. Calculate t.
2
Let m(s) = -s**3 - 6*s**2 - s - 4. Let o be m(-6). Factor 0 + 0*f + 3/4*f**3 + 3/4*f**o.
3*f**2*(f + 1)/4
Let z be 17/(-51) + 7/3. Factor -t**z + 0 + 1/2*t + 1/2*t**3.
t*(t - 1)**2/2
Let a = 153/13 + -726/65. Factor 2/5*y**3 + a - 1/5*y**2 - 4/5*y.
(y - 1)**2*(2*y + 3)/5
Let f be ((-20)/(-25))/(1/5). Let u = -4 + f. Factor 2/3*s**3 + 2/9*s**5 - 2/9*s**2 - 2/3*s**4 + u*s + 0.
2*s**2*(s - 1)**3/9
Suppose 0 = p - 2*n + 6, n + 18 = -p + 6*n. What is z in -5*z**3 + 6*z - 3*z**5 + z**5 - z**3 + p*z + 8*z**4 - 8*z**2 = 0?
-1, 0, 1, 2
Solve 21 + 10 + 1 + 44*k**2 - 184*k = 0 for k.
2/11, 4
Let z = -833/3 - -283. Suppose 2*m + 4*r = 8, 5*m = 2*r - 2 - 2. Factor -18*f**4 + z*f + m*f**3 + 12*f**2 + 2/3.
-2*(f - 1)*(3*f + 1)**3/3
Solve 32 + 25/2*k**2 + 40*k = 0 for k.
-8/5
Let a(n) = -6*n**3 - 18*n**2 + 9. Let s(m) = -3*m**3 - 9*m**2 + 5. Suppose -16*d - 36 = -12*d. Let g(x) = d*s(x) + 5*a(x). Solve g(q) = 0 for q.
-3, 0
Let r(o) be the third derivative of -5*o**2 - 1/27*o**3 + 0*o + 0 - 1/90*o**5 + 1/36*o**4 + 1/540*o**6. What is u in r(u) = 0?
1
Let c(t) be the third derivative of -7*t**5/20 - 19*t**4/8 + 3*t**3 - 9*t**2. Factor c(b).
-3*(b + 3)*(7*b - 2)
Suppose 4 = -p + 6. Let r(q) be the first derivativ