Suppose i(b) = 0. Calculate b.
-1, 0, 2/5
Factor 0*f**3 - 4/3*f**2 + 4/3*f**4 - 2/3*f + 0 + 2/3*f**5.
2*f*(f - 1)*(f + 1)**3/3
Let u(b) = 3*b - 30. Let o be u(10). Factor -1 + 3/2*y + o*y**2 - 1/2*y**3.
-(y - 1)**2*(y + 2)/2
Suppose 2*g = 3*g - 1. Let u be 2 - g/(14/20). Factor 6/7*z + u*z**2 - 6/7*z**3 - 4/7.
-2*(z - 1)*(z + 1)*(3*z - 2)/7
Let a(i) = -2*i**3 - 2*i**2 + 11*i. Let d be a(-3). Determine c, given that 1/4*c**d + 0*c**2 + 0*c + 0 - 1/4*c**4 = 0.
0, 1
Let v(l) be the third derivative of l**8/1008 + l**7/315 - l**6/120 - 2*l**5/45 - l**4/18 - 2*l**2 - 1. Determine t so that v(t) = 0.
-2, -1, 0, 2
Let g(j) = -j + 2. Let w be g(-7). Let v = -7 + w. Solve 1 + 2*o - o**v - 8 + 6 = 0 for o.
1
Solve 0 - 2/5*h**2 + 0*h = 0.
0
Let d be ((-2)/(-5))/((-7)/(-35)). Let 0*w**d + 0*w - 9*w**2 + 3*w**2 - 2*w**3 - 4*w = 0. Calculate w.
-2, -1, 0
Let c(s) be the second derivative of -7/135*s**6 + 0 + 6*s - 25/54*s**4 - 16/27*s**3 - 19/90*s**5 - 1/189*s**7 - 4/9*s**2. Find w, given that c(w) = 0.
-2, -1
Let w be 2/(-8) - 692/(-1040). Let h = -1/65 + w. Let 4/5*n**2 + 0 + h*n + 2/5*n**3 = 0. What is n?
-1, 0
Let o = 6624/7 - 946. What is w in -2/7*w + 6/7 - 6/7*w**2 + o*w**3 = 0?
-1, 1, 3
Let n(o) = -o**2 + 8*o + 11. Let d be n(9). Factor 2/7*f**d + 8/7*f + 6/7.
2*(f + 1)*(f + 3)/7
Let s = 15 + -9. Let g(b) = -9*b**3 + 13*b**2 - b - 3. Let y(k) = 10*k**3 - 14*k**2 + 2*k + 2. Let t(z) = s*g(z) + 5*y(z). Suppose t(a) = 0. What is a?
-1, 1, 2
Suppose -m + 4*v - 7*v + 3 = 0, 5*m = 4*v - 4. Factor 4/7*j + m - 2/7*j**2.
-2*j*(j - 2)/7
Let s be (-38)/(-20) - (88/20 - 5). Suppose 7/2*y**4 - y**2 + s*y**3 + 0*y + 0 = 0. Calculate y.
-1, 0, 2/7
Let n be 2/(-6)*0 + 3. Suppose 0 = n*q + 2*q. Factor 0*p + 0*p**3 + q*p**2 + 0 - 2/5*p**4 - 2/5*p**5.
-2*p**4*(p + 1)/5
Let u(x) be the second derivative of 0*x**2 + 0 - 1/24*x**4 + 1/12*x**3 - 3*x. Let u(v) = 0. What is v?
0, 1
Let i(h) = 4*h**3 + 6*h - 3*h**3 - 4*h + 4*h**2. Let j be i(-3). Let 0*b**3 - 4*b**j + 6*b**3 + b**4 = 0. Calculate b.
-2, 0
Factor -2/11*v**5 + 2/11*v + 4/11*v**2 + 0*v**3 + 0 - 4/11*v**4.
-2*v*(v - 1)*(v + 1)**3/11
Let c(r) be the second derivative of 1/60*r**5 - 5*r + 0 - 1/36*r**4 + 1/6*r**2 - 1/18*r**3. Factor c(m).
(m - 1)**2*(m + 1)/3
Let x(h) = -h**3 + 3*h**2 + 3*h + 3. Let m be x(0). Factor 2/11*s + 6/11*s**4 - 10/11*s**m + 2/11*s**2 + 0.
2*s*(s - 1)**2*(3*s + 1)/11
Suppose 4 = -2*u + 8*y - 4*y, -u = -y - 1. Factor 3*a**2 - a**u + 3*a**2 + 2*a - 3*a**2 + 0*a**2.
-a*(a - 2)*(a + 1)**2
Determine f so that 0 + 8/9*f**2 - 2/3*f**5 - 14/9*f**3 + 8/9*f - 20/9*f**4 = 0.
-2, -1, 0, 2/3
Let o = -5/1143 - -4306/26289. Let z = o + 4/23. Factor -c + 2/3 + z*c**2.
(c - 2)*(c - 1)/3
Let v = -115 - -231/2. What is r in -v*r**3 + 0 + 0*r**2 + 0*r + 1/2*r**4 = 0?
0, 1
Factor -1/2*i + 0*i**4 + 0 - 1/2*i**5 + i**3 + 0*i**2.
-i*(i - 1)**2*(i + 1)**2/2
Let u(l) be the third derivative of l**5/100 + l**4/10 + 3*l**3/10 + 15*l**2. Factor u(w).
3*(w + 1)*(w + 3)/5
Let p(t) be the third derivative of t**5/90 - t**4/9 + 4*t**3/9 - 17*t**2. Factor p(x).
2*(x - 2)**2/3
Let t(a) = a**4 + 4*a**3 - 28*a**2 - 58*a + 223. Let o(w) = 5*w**4 + 20*w**3 - 141*w**2 - 289*w + 1114. Let k(u) = 2*o(u) - 11*t(u). Factor k(d).
-(d - 3)**2*(d + 5)**2
Let t(s) be the first derivative of -s**6/1800 - s**5/600 + s**4/60 - 2*s**3 - 6. Let l(d) be the third derivative of t(d). Factor l(a).
-(a - 1)*(a + 2)/5
Let k(y) be the first derivative of 3/16*y**4 + 3/4*y + 3/4*y**3 - 1 + 9/8*y**2. Find d such that k(d) = 0.
-1
Let h(u) be the second derivative of u**7/252 + u**6/90 + 4*u. Factor h(g).
g**4*(g + 2)/6
Let t be (-1)/2*-1 - -1 - 1. Factor -t - 1/2*g**2 + g.
-(g - 1)**2/2
Let h(u) be the first derivative of u**6/180 - u**5/20 + u**4/6 - 8*u**3/3 - 10. Let i(s) be the third derivative of h(s). Factor i(d).
2*(d - 2)*(d - 1)
Factor -2/15*k + 0 - 8/15*k**2 - 2/15*k**5 - 8/15*k**4 - 4/5*k**3.
-2*k*(k + 1)**4/15
Let j(v) be the first derivative of -5*v**4/4 - 10*v**3/3 - 5*v**2/2 - 12. Let j(h) = 0. Calculate h.
-1, 0
Let z(c) be the third derivative of -1/36*c**3 + 0 - 1/240*c**6 + 6*c**2 + 1/360*c**5 + 0*c + 1/48*c**4. Find b such that z(b) = 0.
-1, 1/3, 1
Let f(n) be the first derivative of n**7/3360 - n**6/720 + n**5/480 + n**3/3 + 2. Let p(d) be the third derivative of f(d). Find j, given that p(j) = 0.
0, 1
Let x(v) be the second derivative of -3*v**5/40 + v**4/4 - v**3/4 + 6*v. Suppose x(a) = 0. Calculate a.
0, 1
Let o = -143/21 - -85/7. Suppose 10/3*j**2 - 8/3 + o*j = 0. Calculate j.
-2, 2/5
Let d(o) be the first derivative of -64*o**5/5 + 24*o**4 - 12*o**3 + 2*o**2 - 1. Factor d(f).
-4*f*(f - 1)*(4*f - 1)**2
Let n(j) be the first derivative of j**6/15 - 8*j**5/25 + j**4/2 - 4*j**3/15 - 20. Factor n(z).
2*z**2*(z - 2)*(z - 1)**2/5
Let i = 26 + -16. Find j, given that 2*j**4 - 3*j**5 - 9*j**3 - 3*j**4 - 3*j**2 - i*j**4 + 2*j**4 = 0.
-1, 0
Let -5*l**2 + 3*l**3 + 456 - 456 + 5*l**4 + l**5 - 4*l = 0. What is l?
-4, -1, 0, 1
Let k be 21/(-35)*(50/(-36))/5. Let i(g) be the second derivative of -2*g + k*g**3 - 1/8*g**2 + 1/48*g**4 - 1/20*g**5 + 0. What is h in i(h) = 0?
-1, 1/4, 1
Let m be (-1)/(-3) + (-24)/(-9). Suppose -3*s + 3 = -m. Factor -d**4 - 3*d**3 - 2*d**3 - d - 3*d**s + 2*d**3.
-d*(d + 1)**3
Let d(z) be the second derivative of z**6/6 + 11*z**5/10 - 13*z**4/3 - 4*z**3 - 69*z. Factor d(w).
w*(w - 2)*(w + 6)*(5*w + 2)
Let b(i) = -5*i**3 + 5 + i**3 - 3. Let y(f) = -5*f**3 - f**2 + 3. Let r = -4 + 2. Let h(j) = r*y(j) + 3*b(j). Factor h(u).
-2*u**2*(u - 1)
Let z be 12/(-9) - (-303)/216. Let r(k) be the third derivative of 2*k**2 - 1/18*k**3 - 1/45*k**5 + z*k**4 + 0 + 0*k. Factor r(i).
-(i - 1)*(4*i - 1)/3
Let i be 3 + -3 + -5 - -7. Let f(a) be the first derivative of -1/12*a**4 + 0*a**i - 2 + 0*a + 0*a**3. Let f(k) = 0. What is k?
0
Let z(y) = -y + 6. Let o be z(-8). Let i = o - 7. Factor -2*k + i*k**2 + 0 + 0.
k*(7*k - 2)
Solve 4/9*d**2 + 4/9*d**3 - 2/3*d + 2/9 + 2/9*d**5 - 2/3*d**4 = 0 for d.
-1, 1
What is i in 5/4*i**2 - 5/2*i + 5/4 = 0?
1
Let c(d) be the second derivative of 0 + 1/42*d**4 - 2*d + 1/7*d**2 - 2/21*d**3. Factor c(w).
2*(w - 1)**2/7
Let h(z) = z**2 + z. Let p(q) = -4*q**2 - 6*q - 2. Let m(s) = 3*h(s) + p(s). Find k, given that m(k) = 0.
-2, -1
Suppose -11*z - 8 = -41. Let w(j) be the third derivative of 0 + 1/18*j**z + 0*j - 1/36*j**4 - 2*j**2 + 1/180*j**5. Determine v so that w(v) = 0.
1
Let z(y) be the third derivative of y**9/241920 - y**5/20 - y**2. Let r(p) be the third derivative of z(p). Suppose r(b) = 0. Calculate b.
0
Let f(y) be the second derivative of y**6/90 - y**5/15 + 8*y**3/9 - 8*y**2/3 + 20*y. Factor f(n).
(n - 2)**3*(n + 2)/3
Let t = 5 + 3. Let z(x) = x**3 - 9*x**2 + 9*x - 6. Let g be z(t). Determine w, given that 2/5 + 0*w - 2/5*w**g = 0.
-1, 1
Let m(q) be the third derivative of 7*q**8/1440 + q**7/60 + q**6/40 + q**5/20 - 5*q**2. Let d(w) be the third derivative of m(w). Let d(s) = 0. Calculate s.
-3/7
Let q(w) = -w**5 + w**2 - w. Let m(c) = c**5 - 9*c**4 + 27*c**3 + 77*c**2 + 4*c. Let f(r) = -m(r) - 4*q(r). Factor f(g).
3*g**2*(g - 3)*(g + 3)**2
Let u(s) be the third derivative of -s**5/270 + 7*s**4/108 + 8*s**3/27 - s**2 + 36*s. Factor u(k).
-2*(k - 8)*(k + 1)/9
Let h(i) be the first derivative of -i**6/6 - i**5/5 + 3*i**4/4 + 5*i**3/3 + i**2 + 9. Find c, given that h(c) = 0.
-1, 0, 2
Let q(a) be the first derivative of -a**4/4 - 4*a**3/3 - 5*a**2/2 - 2*a + 6. Solve q(t) = 0 for t.
-2, -1
Factor 6/5*p - 9/5 - 1/5*p**2.
-(p - 3)**2/5
Factor -a - a**3 + 3*a - a**3.
-2*a*(a - 1)*(a + 1)
Suppose -5*n + w + 10 = -2, -2*n + 3*w + 10 = 0. Factor 0*k**3 - 3*k**4 + 3*k**3 + 2*k**n - 2*k**2.
-3*k**3*(k - 1)
Let j = 636 + -636. Solve 3*n - 93/2*n**4 + 195/4*n**3 + j + 63/4*n**5 - 21*n**2 = 0.
0, 2/7, 2/3, 1
Let u be (2/768)/(28/8). Let w(r) be the third derivative of 0*r**7 + 0*r**3 + 1/240*r**6 - 1/96*r**4 + 0*r**5 + 0 + 0*r - u*r**8 + 2*r**2. Factor w(f).
-f*(f - 1)**2*(f + 1)**2/4
Let v(x) = -x**5 - 13*x**4 - 5*x**3 + 8*x**2 + x + 5. Let s(y) = -2*y**5 - 20*y**4 - 8*y**3 + 12*y**2 + 2*y + 8. Let o(g) = -5*s(g) + 8*v(g). Factor o(d).
2*d*(d - 1)**3*(d + 1)
Let -3*c**2 + 3*c**4 + 6*c + c**5 + 3*c**2 - 9*c**3 + 2*c**5 - 3*c**2 = 0. Calculate c.
-2, -1, 0, 1
Suppose 5*b - 26 = 49. Let k be ((-12)/15