 0 + 0*u**3 + 0*u. Find v, given that o(v) = 0.
-2, -1, -1/3, 0
Suppose -10 = -5*r - 0. Suppose r*g - 2 = 8. Factor -5*v + 22*v**g - 45*v**3 + 28*v**2 + 27*v**5 + v - 28*v**4.
v*(v - 1)*(v + 1)*(7*v - 2)**2
Let k = -77/65 + 18/13. Let n be (1/3 - -1)/((-2)/(-3)). Factor 1/5*p**3 + 0 + 0*p**n - k*p.
p*(p - 1)*(p + 1)/5
Let y = -13423/9 - -1493. Factor y*o**3 + 0 - 4/9*o**2 + 0*o.
2*o**2*(7*o - 2)/9
Factor 8/3*o**3 - 4/3*o + 0 - 2*o**4 + 2/3*o**2.
-2*o*(o - 1)**2*(3*o + 2)/3
Let l = 297/4 - 73. Let z(g) be the first derivative of -l*g**4 - 8/3*g**3 + 2*g - 3 - 1/2*g**2. Suppose z(n) = 0. Calculate n.
-1, 2/5
Let y(p) be the second derivative of p**6/40 - 27*p**5/80 + 25*p**4/16 - 27*p**3/8 + 15*p**2/4 - 2*p - 4. Factor y(a).
3*(a - 5)*(a - 2)*(a - 1)**2/4
Suppose -4*r = -8*r + 8. Factor -24 - 8*p**r + 3*p**3 + 2*p - 10*p**2 + 34*p.
3*(p - 2)**3
Let b(a) be the first derivative of -7*a**4/16 - a**3 - 3*a**2/8 + a/2 - 2. Determine l so that b(l) = 0.
-1, 2/7
Let y(b) = b**4 - b**3 + 1. Let j(p) = 2*p**4 + 4*p**3 - 17*p**2 + 17*p - 3. Let h(d) = -2*j(d) + 6*y(d). Factor h(k).
2*(k - 3)*(k - 2)*(k - 1)**2
Let y(r) be the third derivative of -16/9*r**3 - 8/45*r**6 + 0*r - 16/9*r**4 + 0 - 4/5*r**5 + r**2 - 1/63*r**7. Factor y(o).
-2*(o + 2)**3*(5*o + 2)/3
Let y(z) be the first derivative of -2*z**5/5 + z**4/2 + 6*z**3 + 11*z**2 + 8*z + 4. Solve y(n) = 0.
-1, 4
Let k(j) be the second derivative of -1/6*j**3 - j + 1/30*j**6 + 1/10*j**5 - 1/6*j**4 + 0 - 1/42*j**7 + 1/2*j**2. Factor k(g).
-(g - 1)**3*(g + 1)**2
Let b(i) = 4*i**3 + 3*i**2 + 2*i. Let u(n) = 11*n**3 + 8*n**2 + 5*n. Let l(m) = 8*b(m) - 3*u(m). Factor l(q).
-q*(q - 1)*(q + 1)
Suppose 2*c = 3*s - 18 + 2, 0 = -3*c + 3*s - 18. Let l = -2 - c. Factor 2/3*u**2 + l*u + 2/3*u**4 - 4/3*u**3 + 0.
2*u**2*(u - 1)**2/3
Let i(d) be the second derivative of -1/12*d**4 - 2*d + 0*d**2 + 2/21*d**7 + 7/30*d**6 + 0 + 1/10*d**5 + 0*d**3. Factor i(m).
m**2*(m + 1)**2*(4*m - 1)
Let t(q) be the first derivative of -2*q**5/75 + q**4/30 + 2*q**3/15 - q**2/3 + 4*q/15 + 19. Suppose t(k) = 0. What is k?
-2, 1
Factor 2/3*k**3 + 8*k + 4*k**2 + 16/3.
2*(k + 2)**3/3
Suppose x = 0, 4*o + 3*x - 10 = -2. Let f(a) be the third derivative of 0 - 1/150*a**5 + 0*a + 0*a**4 + 0*a**3 - 1/600*a**6 + a**o + 1/1050*a**7. Factor f(y).
y**2*(y - 2)*(y + 1)/5
Let y(d) = 2*d**3 + 5*d**2 + 8*d - 13. Let u(m) = m**3 + 3*m**2 + 4*m - 6. Let j(a) = 7*u(a) - 3*y(a). Let x be j(-5). What is s in 0 + 2/7*s**x + 0*s = 0?
0
Let k = -9 - -4. Let u(z) = -z**3 - 5*z**2 + 2. Let c be u(k). Find l, given that 0*l**2 - 2*l + 4*l + 5*l**c - 3*l**2 = 0.
-1, 0
Suppose -12*l**4 - 94*l**3 + 49*l**3 + 5*l**2 + 67*l**2 - 15*l = 0. What is l?
-5, 0, 1/4, 1
Let g(i) be the second derivative of 0*i**2 + i - 1/24*i**4 - 1/720*i**6 - 1/6*i**3 + 0 + 1/80*i**5. Let x(j) be the second derivative of g(j). Factor x(s).
-(s - 2)*(s - 1)/2
Let c(s) = 2*s**2 + 8*s - 12. Let m(p) = 4*p**2 + 15*p - 24. Let b(r) = -10*c(r) + 4*m(r). Determine q, given that b(q) = 0.
-6, 1
Determine h, given that -8/9*h**4 - 8/9*h**2 + 0 - 2/9*h**5 - 4/3*h**3 - 2/9*h = 0.
-1, 0
Factor -10*h + 4*h**2 - 3*h**2 + 0*h**2 + 1 + 8*h.
(h - 1)**2
Let n be 0/(-1) - (6 + -6)/2. Let 0*j + 1/7*j**5 + 1/7*j**2 - 1/7*j**4 + n - 1/7*j**3 = 0. Calculate j.
-1, 0, 1
Let t(j) = -j**2 + 4*j - 1. Let m be t(3). Determine v so that m - 3 + v**2 - v**2 + v**2 = 0.
-1, 1
Let v(d) = -d - 1. Let z(t) = t**2 - 2. Let u(j) = -2*v(j) + z(j). Factor u(h).
h*(h + 2)
Let r(d) = 2*d - 1. Let x be r(1). Let z(f) = -3*f**3 + 3*f**2 + f - 1. Let g(v) = -v**3 - v**2 + v - 1. Let p(c) = x*g(c) - z(c). Factor p(o).
2*o**2*(o - 2)
Let d(o) be the third derivative of -o**6/960 - o**5/480 + o**4/96 - 24*o**2. Find k such that d(k) = 0.
-2, 0, 1
Let s(w) be the third derivative of 1/210*w**5 + 0*w + 0 + 4*w**2 - 1/21*w**3 + 0*w**4. Let s(k) = 0. What is k?
-1, 1
Suppose 9*w**2 + 5*w - 4*w - 15*w**3 + 5*w = 0. Calculate w.
-2/5, 0, 1
Let p(l) be the third derivative of -1/80*l**5 + 0*l + 1/32*l**4 + 0 + 4*l**2 + 1/480*l**6 - 1/24*l**3. Find m, given that p(m) = 0.
1
Let z(t) be the second derivative of t**5/20 - t**4/3 + 5*t**3/6 - t**2 + 2*t. Factor z(l).
(l - 2)*(l - 1)**2
Let j = -911/4 - -228. Factor 1/4*a - j*a**4 + 1/4*a**5 - 1/2*a**3 + 1/2*a**2 - 1/4.
(a - 1)**3*(a + 1)**2/4
Let i(d) be the third derivative of d**7/840 + d**6/480 - d**5/80 - d**4/96 + d**3/12 + 26*d**2. Find r, given that i(r) = 0.
-2, -1, 1
Let l(b) be the third derivative of 2/27*b**3 + 0 - 1/270*b**5 + 1/108*b**4 - 5*b**2 + 0*b. Suppose l(g) = 0. What is g?
-1, 2
Let y(l) be the second derivative of l**5/10 + l**4/2 + l**3 + l**2 - 11*l. Factor y(o).
2*(o + 1)**3
Suppose -12*v + 12 = -8*v. Factor 2 + 2*w**3 - 6*w**v + 4*w**2 + 6*w**4 - 12*w**4 + 6*w - 2*w**5.
-2*(w - 1)*(w + 1)**4
Suppose 0 = -2*l + 8 - 2. Let g(v) be the third derivative of -1/24*v**4 + 2*v**2 + 0*v + 0*v**l + 0 + 1/60*v**5. Solve g(a) = 0.
0, 1
Let g = -509/7 - -73. Factor -2/7*v**3 + g - 2/7*v**2 + 2/7*v.
-2*(v - 1)*(v + 1)**2/7
Let z(q) be the third derivative of -1/10*q**6 + 2/105*q**7 + 0*q + 0*q**3 - 9*q**2 + 0*q**5 + 2/3*q**4 + 0. Factor z(n).
4*n*(n - 2)**2*(n + 1)
Let a(b) be the second derivative of -b**4/60 + 8*b**3/15 - 32*b**2/5 - b. Factor a(p).
-(p - 8)**2/5
Let y = 9 - 7. Let 2*w**5 + 7*w**4 + 2*w**2 - 3*w**4 - y*w**2 + 2*w**3 = 0. What is w?
-1, 0
Let n(x) be the third derivative of -x**7/1260 + x**6/240 - x**5/360 - x**4/48 + x**3/18 + 9*x**2. Factor n(j).
-(j - 2)*(j - 1)**2*(j + 1)/6
Let f = 12 + -9. Suppose -10 = f*i - 8*i. Find d such that 6/7*d**i + 2/7*d**3 + 0 + 4/7*d = 0.
-2, -1, 0
Solve 0*t**5 + 2*t**2 - 9*t**4 + 7*t**5 + 3*t**3 - 3*t**4 = 0.
-2/7, 0, 1
Let b be -2*(-1 + 2 + -2). Determine w, given that -1 - 14*w - 4 + 6*w**b - 16*w**2 + 1 = 0.
-1, -2/5
Find s such that -1/3*s**3 + 1/3 - 1/3*s**2 + 1/3*s = 0.
-1, 1
Let j(g) = -g**2 - 2*g - 7. Let p(m) = -m**2 - 3*m - 8. Let d(y) = 6*j(y) - 5*p(y). Factor d(t).
-(t - 2)*(t - 1)
Let f be 2 + -1 - 2/(-2). Let c be (-46)/69*(0 + -1 + 0). Find s such that 0*s + c - 2/3*s**f = 0.
-1, 1
Let d = -120 - -1082/9. Find v such that 0*v - d*v**3 - 2/9*v**5 + 4/9*v**4 + 0*v**2 + 0 = 0.
0, 1
Let i(f) = -f**3 + 6*f**2 + 2*f - 9. Let k be i(6). Factor 3 - b**3 - 3 + 0*b**k.
-b**3
Let f be 8/(-4) + 12/2. Let u(l) be the first derivative of 3 + 0*l**2 - 2/35*l**5 + 0*l**f + 0*l**3 + 0*l. Factor u(s).
-2*s**4/7
Let k(o) be the first derivative of o**5/45 - o**4/18 + o**3/27 + 1. Factor k(h).
h**2*(h - 1)**2/9
Suppose 188*a = 178*a. Suppose a - 4/11*f**2 + 6/11*f**3 - 2/11*f**4 + 0*f = 0. Calculate f.
0, 1, 2
Factor 4/5*d**2 - 2/5*d + 2/5*d**3 - 4/5.
2*(d - 1)*(d + 1)*(d + 2)/5
Factor -16*l - 4*l**2 + 5*l**3 + 6*l - l**2.
5*l*(l - 2)*(l + 1)
Let b be (0 - 2)/1 + (-646)/(-285). Let 2/15*f - 2/15*f**3 - b*f**2 + 4/15 = 0. What is f?
-2, -1, 1
Let y(d) = -d**2 - 6*d. Suppose s - 5*s = -20. Let a(t) = t**2 + 9*t. Let q(z) = s*a(z) + 8*y(z). Determine o so that q(o) = 0.
-1, 0
Let r = -367/3 - -123. Find b such that -10/3*b**3 + 2*b**4 + 0 + r*b**2 + 2/3*b = 0.
-1/3, 0, 1
Let q(z) be the third derivative of z**5/240 + z**4/16 + 3*z**3/8 - 30*z**2. Factor q(w).
(w + 3)**2/4
Let q(g) be the second derivative of -3*g**5/20 - g**4/4 - 4*g. Solve q(m) = 0 for m.
-1, 0
Let u be (2/(-3))/((-5)/(-15)). Let c be 2/8 - (-2 - u). Solve 1/4*y**2 + c + 1/2*y = 0 for y.
-1
Suppose 4*d = -0*d + 16. Let x = 26 + -26. Factor 2 + x*s**4 - d*s + 0*s**4 - 2*s**4 + 4*s**3.
-2*(s - 1)**3*(s + 1)
Determine c so that -26*c - 1 + 34*c - 4*c**2 + 1 = 0.
0, 2
Let h(p) be the second derivative of 8*p**4/3 + 2*p**3/3 + p. Factor h(t).
4*t*(8*t + 1)
Suppose 2*w = 5*x + 106, 0*w - 5*w = -5*x - 115. Let r be (x/(-8) - -2) + -3. Find c such that 0 - r*c**4 + 0*c - 9/4*c**5 + 0*c**2 - 1/4*c**3 = 0.
-1/3, 0
Let -5/3*r + 4*r**4 + 35/3*r**3 + 20/3*r**2 - 2/3 = 0. What is r?
-2, -1, -1/4, 1/3
Suppose -5*r + 45 = 5*x, -5*x - 2*r = -27 - 3. Factor 4*v**3 - 2*v**5 - 20*v + 24*v**2 + 34*v - 8*v**2 + 4 - 4*v**x.
-2*(v - 2)*(v + 1)**4
Suppose 2 = 4*s - 3*s. Suppose -3*x**2 + 0 + 5*x**s + 0*x**4 - 1 - x**4 = 0. What is x?
-1, 1
Let d(l) be the first derivative of -2 - 24*l**3 + 0*l - 135/4*l**4 - 6*l**2 - 15*l**5. Solve d(t) = 0 for t.
-1, -2/5, 0
Suppose 9*m = 10*m. Let 6/7*l**2 +