 be (24 + -23)/(1 - -4). Let 1/5*w**2 - q + 0*w = 0. Calculate w.
-1, 1
Let l be ((-105)/63)/(0 + 1/(-2)). What is r in -l*r - 8/3 - 2/3*r**2 = 0?
-4, -1
Let f = -3/322 + 659/1610. Solve 2/5 + 2/5*z**3 - 2/5*z - f*z**2 = 0 for z.
-1, 1
Let -3/2*n**4 + 3/2*n**2 + 0 + 3/2*n**3 - 3/2*n = 0. Calculate n.
-1, 0, 1
Let m(n) = 2*n**5 + 6*n**4 - 2*n**3 - 2*n**2. Let t(y) = y**5 - y**4 - y**3 - y**2. Let s(f) = -m(f) - 2*t(f). Determine g so that s(g) = 0.
-1, 0, 1
Suppose 5 = n - 0. Factor 4*q**5 - 8*q**4 + 12*q**2 - 8*q**n + 4*q - 4*q**2.
-4*q*(q - 1)*(q + 1)**3
Suppose -4 = x - 0. Let k be x/(-6) + 2/1. Factor -2/3 - 4*l**2 + k*l**3 - 2/3*l**4 + 8/3*l.
-2*(l - 1)**4/3
Let c(p) be the third derivative of -p**6/240 + p**5/120 + p**4/24 - 3*p**2. Let c(t) = 0. What is t?
-1, 0, 2
Let y be 6/8 - (-1)/1. Let u = -1/4 + y. Let -3/2*z**2 + 1/4*z - 9/4*z**5 + 0 + 2*z**3 + u*z**4 = 0. Calculate z.
-1, 0, 1/3, 1
Let p(u) be the first derivative of u**4/54 + 2*u**3/9 + u**2 - u - 3. Let o(g) be the first derivative of p(g). Factor o(v).
2*(v + 3)**2/9
Let a(m) = m**2. Let j = -5 - -7. Let y be a(j). Find i, given that -4/3*i**2 + 4/3*i**y + 2/3*i**5 - 2/3*i + 0 + 0*i**3 = 0.
-1, 0, 1
Let t(x) = x**2 + x + 1. Let h(g) = 7*g**2 + 89*g + 887. Let n(i) = 2*h(i) - 10*t(i). What is w in n(w) = 0?
-21
Let g(f) be the second derivative of -1/18*f**3 + 1/18*f**4 + 0 + 1/60*f**5 - 6*f - 1/3*f**2. Factor g(x).
(x - 1)*(x + 1)*(x + 2)/3
Find c such that 0 + 3/5*c + 3/5*c**2 = 0.
-1, 0
Let s(t) = 12*t**5 + 14*t**4 - 6*t**2 - 2. Let h(a) = -13*a**5 + 3*a**2 + 3 - 27*a**4 + 14*a**4 + a**3 + 4*a**2. Let v(d) = -2*h(d) - 3*s(d). Factor v(u).
-2*u**2*(u + 1)**2*(5*u - 2)
Let t(x) be the first derivative of -4/9*x**3 + 0*x + 1/3*x**2 - 2 + 1/6*x**4. Find b such that t(b) = 0.
0, 1
Let m(f) be the first derivative of -4*f**3/3 - 3*f**2/2 + f - 3. Determine l, given that m(l) = 0.
-1, 1/4
Suppose -2*m - 6 = -5*m. Suppose m = -4*j + 10. Find i such that 7/5*i**4 + 1/5*i**3 + 0 - 2/5*i**j - 6/5*i**5 + 0*i = 0.
-1/2, 0, 2/3, 1
Let w = 407/116 + -1/116. Factor w*d**3 + 6*d**2 + 3/2*d - 1.
(d + 1)**2*(7*d - 2)/2
Let j(k) be the third derivative of 1/4*k**4 + 2/3*k**3 + 7*k**2 + 0*k + 1/30*k**5 + 0. What is p in j(p) = 0?
-2, -1
Let s(u) = -24*u**3 + 36*u**2 - 8*u + 4. Let b(y) = -y**3 - 1. Let v(d) = -4*b(d) - s(d). Determine o so that v(o) = 0.
0, 2/7, 1
Let q be 1 - (-4)/(-8)*2. Suppose 5*w - 2*w - 12 = q. Let 4/7*b + 0*b**2 + 2/7 - 2/7*b**w - 4/7*b**3 = 0. Calculate b.
-1, 1
Factor 25/4 - 5/2*u + 1/4*u**2.
(u - 5)**2/4
Let d(f) be the second derivative of f**6/15 + f**5 + 17*f**4/6 + 8*f**3/3 + 24*f. Factor d(x).
2*x*(x + 1)**2*(x + 8)
Let a(f) be the first derivative of f**7/735 + f**6/140 + f**5/210 - f**4/28 - 2*f**3/21 + f**2/2 - 5. Let q(d) be the second derivative of a(d). Factor q(u).
2*(u - 1)*(u + 1)**2*(u + 2)/7
Let g(s) be the first derivative of -s**3/9 - 2*s**2/3 - s - 15. Factor g(x).
-(x + 1)*(x + 3)/3
Solve -9/7*r + 3/7*r**2 - 12/7 = 0.
-1, 4
Let m(r) be the first derivative of -1/9*r**6 + 7 + 0*r + 0*r**5 + 0*r**3 + 1/6*r**4 + 0*r**2. Factor m(z).
-2*z**3*(z - 1)*(z + 1)/3
Let h(o) be the third derivative of -o**7/840 + o**6/160 - o**5/80 + o**4/96 + 26*o**2. Solve h(s) = 0.
0, 1
Let z(i) be the first derivative of 2*i**3/3 + 6*i**2 + 18*i - 4. Let z(w) = 0. Calculate w.
-3
Suppose -6 = 6*g - 5*g. Let k = -1 - g. Find u such that k*u + 18*u**4 - 6*u + 32*u**2 - 7*u - 42*u**3 = 0.
0, 2/3, 1
Determine i so that -7*i + 22*i + 8 + 36*i + 50*i**2 - 11*i = 0.
-2/5
Let z(o) be the third derivative of -o**5/12 - 5*o**4/4 - 15*o**3/2 + 26*o**2. Factor z(u).
-5*(u + 3)**2
Suppose 6/5*l**2 - 4/5*l + 1/5*l**4 - 8/5 + l**3 = 0. Calculate l.
-2, 1
Solve 9/5*n - 3/5*n**2 - 6/5 = 0.
1, 2
Let n be 22/10 + 4/(-20) + 0. What is o in -3/2*o**4 + o**n - 2*o**3 + 2*o + 1/2 = 0?
-1, -1/3, 1
Let o(d) be the third derivative of d**6/1020 + 7*d**5/510 + 2*d**4/51 - 16*d**3/51 - 17*d**2. Factor o(b).
2*(b - 1)*(b + 4)**2/17
Let s(l) = 3*l**2 - l + 2. Let k be s(1). Let z(y) be the first derivative of y**2 + k*y - 2/3*y**3 - 3. Factor z(m).
-2*(m - 2)*(m + 1)
Let c(x) be the first derivative of x**4/48 - x**3/8 + x**2/4 - 4*x + 2. Let h(a) be the first derivative of c(a). Factor h(n).
(n - 2)*(n - 1)/4
Let b(h) be the third derivative of 0*h**5 - 1/12*h**4 + 0 - 1/6*h**3 - h**2 + 1/60*h**6 + 0*h + 1/210*h**7. Suppose b(f) = 0. Calculate f.
-1, 1
Let v(n) be the third derivative of n**5/60 - n**3/6 - 4*n**2. Factor v(c).
(c - 1)*(c + 1)
Suppose u + 32 = -3*u. Let b be (-4)/(-3)*(-12)/u. Find c, given that -3*c**2 + b*c**4 + c**2 + 2*c + c**3 - 3*c**3 = 0.
-1, 0, 1
Suppose 42 = 4*q + 3*x, 5*q + 5 - 56 = -3*x. Let g(m) = -m + 11. Let u be g(q). Factor 2*z + 4 + 2*z**u - 4 + 0*z.
2*z*(z + 1)
Let j(z) be the first derivative of z**6/2 - 3*z**5/5 - 3*z**4/2 + 2*z**3 + 3*z**2/2 - 3*z - 8. Factor j(f).
3*(f - 1)**3*(f + 1)**2
Suppose -13*o + 24 = -7*o. Factor -2/7*j**o + 2/7*j**2 - 2/7*j**3 + 2/7*j + 0.
-2*j*(j - 1)*(j + 1)**2/7
Let q(g) be the first derivative of -12*g**3 + 14*g**2 + 8*g - 8. Solve q(x) = 0 for x.
-2/9, 1
Let c(h) = -2*h**3 + 5. Let n(f) = 3*f**3 - 6. Let x(a) = 6*c(a) + 5*n(a). Factor x(g).
3*g**3
Let w(j) be the second derivative of j**8/6720 - j**7/1680 + j**5/240 - j**4/96 + j**3/2 + j. Let h(z) be the second derivative of w(z). Factor h(q).
(q - 1)**3*(q + 1)/4
Let -4*v**4 - 2*v**3 - 2*v**5 + 10*v**5 - 10*v**5 = 0. What is v?
-1, 0
Factor 57/2*s**2 + 21*s + 6*s**4 + 75/4*s**3 + 6 + 3/4*s**5.
3*(s + 1)**2*(s + 2)**3/4
Suppose -7*l + 2*l - 3*n = -13, l + 3 = 5*n. Factor 4*g**3 - 9*g**2 + 5*g**l - 2*g - 3*g**3 - 3*g**3.
-2*g*(g + 1)**2
Factor b**5 + 250*b**4 + 4*b**5 - 240*b**4.
5*b**4*(b + 2)
Let c(r) be the first derivative of 0*r**2 - 2/39*r**3 + 3 - 1/26*r**4 + 0*r. Factor c(i).
-2*i**2*(i + 1)/13
Let f(h) be the third derivative of 0*h + 0 - 2*h**2 + 0*h**3 + 1/36*h**4 + 7/360*h**6 - 1/20*h**5. Factor f(z).
z*(z - 1)*(7*z - 2)/3
Let f be -2 - (-20)/(-1 + 5). Factor 0 + 2/3*v**4 + 2/3*v**f + 0*v + 0*v**2.
2*v**3*(v + 1)/3
Let f = 3/16 + 7/48. Let v(w) be the first derivative of f*w**3 + 1 - 3/4*w**4 - w + 3/2*w**2. Factor v(r).
-(r - 1)*(r + 1)*(3*r - 1)
Factor 0*d**2 - 48*d**2 - 4*d**5 + 8*d**3 - 37*d + 16*d**4 + d.
-4*d*(d - 3)**2*(d + 1)**2
Determine a, given that 0*a + a**4 - 1/3*a**2 + 0*a**3 - 2/3*a**5 + 0 = 0.
-1/2, 0, 1
Let u be 6/(-2) + (-198)/(-44). Determine p, given that 1/2*p**3 - 1 - u*p + 0*p**2 = 0.
-1, 2
Let r be -5 - (444/(-14))/6. Factor r*g**2 + 2/7*g**5 + 0*g + 0 + 6/7*g**4 + 6/7*g**3.
2*g**2*(g + 1)**3/7
Let y(i) = -i**2 + 6*i. Suppose -5*k + s = -29, 3 = 2*k + 4*s + 9. Let v be y(k). Factor -5*a**4 + a**4 + 4*a**v + 2*a**4 - 3*a**5.
a**4*(a - 2)
Let j(n) = 3*n**2 - 8. Let k(u) = -u**2 + u + 1. Let m(g) = j(g) + 4*k(g). Determine c so that m(c) = 0.
2
Let z = 36 + -23. Suppose 5 + z = 6*s. Factor a**s + 1/2 + 0*a**2 - 1/2*a**4 - a.
-(a - 1)**3*(a + 1)/2
Suppose 0*b + 3*p + 12 = -b, 5*b = p + 4. Let d(r) be the third derivative of -1/120*r**6 + 0*r + 0*r**3 - 1/140*r**7 + 0 + 0*r**5 + r**2 + b*r**4. Factor d(x).
-x**3*(3*x + 2)/2
Let p(o) be the third derivative of 0*o**6 - 5*o**2 + 0*o + 0*o**5 + 0*o**4 + 1/1008*o**8 + 0*o**3 - 1/630*o**7 + 0. What is f in p(f) = 0?
0, 1
Let a(w) = 2*w**2 - w. Let l = -1 + -3. Let z(c) = -c**2. Let f = 13 - 19. Let k(m) = f*z(m) + l*a(m). Factor k(i).
-2*i*(i - 2)
Let s(h) be the second derivative of 11*h**5/5 - 13*h**4/3 + 4*h**3/3 - 9*h. Suppose s(t) = 0. What is t?
0, 2/11, 1
Let i(g) = g**2 - 24*g - 21. Let v(j) = -24*j - 21. Let u(p) = 3*i(p) - 4*v(p). Find f, given that u(f) = 0.
-7, -1
Let h be 6/(-27) - (-44)/144. Let r(m) be the first derivative of 5/6*m**2 + 4/9*m**3 + h*m**4 + 1 + 2/3*m. Factor r(v).
(v + 1)**2*(v + 2)/3
Let u = 167/12 + -53/4. Suppose 2*x = 2*z - 11 + 1, -z - 4*x = 0. Determine d, given that 2/3*d - u*d**z + 2/3*d**5 - 4/3*d**3 + 4/3*d**2 - 2/3 = 0.
-1, 1
Let p(m) be the second derivative of -m**5/4 - 5*m**4/12 + 5*m**3/3 - 3*m. Factor p(n).
-5*n*(n - 1)*(n + 2)
Let v(s) be the first derivative of 5*s**6/6 + 2*s**5 - 5*s**4/4 - 10*s**3/3 - 3. Factor v(t).
5*t**2*(t - 1)*(t + 1)*(t + 2)
Let r(p) = 7*p**5 + 10*p**4 + 4*p**3 - 2*p**2 - 5*p - 2. Let i(y) = -13*y**5 - 19*y**4 - 8*y**3 + 4*y**2 