*u**3 - 2*u - 2*u**4 - 3 - 2*u**4 + 2*u**4 + 4*u**2 - y*u**5 + 1 = 0. Calculate u.
-1, 1
Let z(m) = -m**2 + 8*m - 5. Suppose -7 = -2*k + 7. Let u be z(k). Factor -u*j - 1 + 3*j**2 + 0*j**2 + 4*j.
(j + 1)*(3*j - 1)
Suppose v + 3*k - 4*k - 5 = 0, 4*v + k = -5. Let n(b) be the first derivative of 1/4*b**2 - 1/16*b**4 + 1/12*b**3 + 1 + v*b. Solve n(m) = 0 for m.
-1, 0, 2
Let v be (-3)/((-6)/8 - 0). Factor -4*x**2 + 0*x**2 - 11*x**2 - 9*x**3 - v*x - 2*x.
-3*x*(x + 1)*(3*x + 2)
Let t = -55433/5 - -10934. Let u = -149 - t. Factor -4/5*w**3 + u*w**4 + 0*w**2 + 0*w + 0.
2*w**3*(9*w - 2)/5
Let a(q) be the first derivative of 0*q + 0*q**3 + 1/12*q**4 - 1/6*q**2 + 3. Suppose a(d) = 0. Calculate d.
-1, 0, 1
Let s be 74/(-333) - (-47)/9. Let f(a) = -a**2 - 4*a + 2. Let w be f(-4). Solve 0 + z**4 - z**w - 1/2*z**s + 0*z**3 + 1/2*z = 0.
-1, 0, 1
Determine z so that 4/3*z**2 + 0*z + 8/3*z**4 + 2/3*z**5 + 0 + 10/3*z**3 = 0.
-2, -1, 0
Let r(g) = -g**5 - g**4 + g**3. Let x(n) = -n**5 - 2*n**4 + n. Let m(z) = -2*r(z) + x(z). What is c in m(c) = 0?
-1, 0, 1
Let k = -82/9 + 331/36. Let v(b) be the first derivative of 1/3*b**3 - 3/10*b**5 - k*b**6 + 3/4*b**2 + 3 - 1/4*b**4 + 1/2*b. Factor v(d).
-(d - 1)*(d + 1)**4/2
Let m(p) = -7*p**2 + 8*p + 11. Let w(r) = -15*r**2 + 15*r + 21. Let d(c) = -9*m(c) + 4*w(c). Suppose d(f) = 0. What is f?
-1, 5
Let b(g) be the second derivative of -g**5/60 + g**4/12 - 2*g**2 - 2*g. Let t(i) be the first derivative of b(i). Factor t(r).
-r*(r - 2)
Suppose 2 = -2*x + 3*x. Suppose 0 = 5*p - 0*p - 15. Let 2 - 1/2*o**p - 4*o + 5/2*o**x = 0. Calculate o.
1, 2
Let j be ((-3)/12)/((-11)/(-8) - 2). Factor -j - 6/5*c**2 - 2/5*c**3 - 6/5*c.
-2*(c + 1)**3/5
Let f(i) = i**2 + 4*i + 7. Let q be f(-5). Let a(g) be the first derivative of -9*g**3 - 18*g**2 - q*g - 3/2*g**4 - 3. Solve a(w) = 0.
-2, -1/2
Let d(b) = -8*b**3 - 20*b**2 - 28*b - 20. Let k(n) = -15*n**3 - 40*n**2 - 57*n - 39. Let u(f) = 7*d(f) - 4*k(f). Solve u(t) = 0 for t.
-2, -1
Suppose -7 = 6*y + 41. Let a be -3 + 3/(-3)*y. Determine r, given that -4/3 + a*r**2 + 4/3*r = 0.
-2/3, 2/5
Let n(d) be the third derivative of -3*d**6/160 - 19*d**5/80 + 15*d**4/32 + 7*d**3/8 + 44*d**2. Solve n(y) = 0 for y.
-7, -1/3, 1
Factor -1/6*o + 1/6*o**2 + 0.
o*(o - 1)/6
Let u(k) = -12*k**2 + 12. Let y(h) = -h**3 + 11*h**2 - 12. Let m(d) = 2*u(d) + 3*y(d). Factor m(b).
-3*(b - 2)**2*(b + 1)
Let m be (-27)/(-20) + (-3 - 60/(-25)). Find o, given that 5/4*o**3 - 5/4*o + 1/2 - m*o**4 + 1/4*o**2 = 0.
-1, 2/3, 1
Let f(a) be the first derivative of -2*a**5/75 - 7*a**4/60 + 2*a**3/15 - 5*a**2/2 + 5. Let v(u) be the second derivative of f(u). Find q, given that v(q) = 0.
-2, 1/4
Let f(c) be the second derivative of 1/2*c**2 + c**3 - 3/10*c**6 - 7*c + 2/3*c**4 - 3/10*c**5 + 0. Let f(k) = 0. What is k?
-1, -1/3, 1
Let q(s) = s**2 + 15*s - 16. Let b be q(-16). Factor b - 1/5*j**2 - 1/5*j**3 + 2/5*j.
-j*(j - 1)*(j + 2)/5
Suppose 4*c + z = -c + 8, -2*c = 2*z. Factor 13*x**2 - 13*x**c + 18*x**2 + 15*x**3 + 12*x + 18*x**2.
3*x*(x + 2)*(5*x + 2)
Suppose -18 = -4*l - 2*m, l + 4*l + m = 15. Find v such that 2*v**l + v**2 + 0*v**2 - 1 - 2 = 0.
-1, 1
Factor 18/7*h + 20/7 - 2/7*h**2.
-2*(h - 10)*(h + 1)/7
Let o(d) = 7*d**2 - 7*d + 6. Let j(y) = 8*y**2 - 8*y + 7. Suppose 0 = -5*p + 2*n - 24, 19 = -5*n + 4. Let t(s) = p*j(s) + 7*o(s). Find h such that t(h) = 0.
0, 1
Let r(d) be the third derivative of d**7/665 + d**6/1140 - 3*d**5/190 - 3*d**4/76 - 2*d**3/57 + 6*d**2. Find t such that r(t) = 0.
-1, -1/3, 2
Suppose 0 = 4*m - 7 - 5. Determine r, given that -3/5*r + 0 + 4/5*r**2 - 1/5*r**m = 0.
0, 1, 3
Factor -2/7*o**2 + 0 - 6/7*o.
-2*o*(o + 3)/7
Factor -97*t + t**2 - 5*t**4 + 4*t**4 + 97*t.
-t**2*(t - 1)*(t + 1)
Let t(g) be the first derivative of 7*g**6/18 - g**5/3 - g**4/6 + 54. Suppose t(x) = 0. Calculate x.
-2/7, 0, 1
Let q = 397/5 + -79. Suppose -3*i - 10 = -4*p + 4, 0 = 3*p - 15. Let -q*s + 2/5*s**i + 0 = 0. What is s?
0, 1
Factor -7*b**3 + 4*b**2 + 11*b**3 - 16 + 8*b**2.
4*(b - 1)*(b + 2)**2
Let v(j) be the third derivative of -j**7/147 + j**6/140 + j**5/105 + 3*j**2. Factor v(s).
-2*s**2*(s - 1)*(5*s + 2)/7
Factor 0 - 6/7*y**4 - 2/7*y**3 + 0*y + 4/7*y**2.
-2*y**2*(y + 1)*(3*y - 2)/7
Factor -2 + 4*s - 2 - 2*s + 2*s**3 - 4*s + 4*s**2.
2*(s - 1)*(s + 1)*(s + 2)
Let n = -23 + -19. Let d be (-32)/n*3/2. Suppose -6/7*l**5 + 0*l + 2/7*l**3 - d*l**4 + 0 + 4/7*l**2 = 0. What is l?
-1, 0, 2/3
Let u = 5 + -1. Let 3*d - 19*d**3 + 0*d - 6 + 12*d + 6*d**2 + u*d**3 = 0. Calculate d.
-1, 2/5, 1
Suppose -v + 7 = -w - 3*w, -6 = -4*v + 5*w. Let g be -3 + v/(2/(-6)). Factor -1/4*a**2 + 1/4*a + g.
-a*(a - 1)/4
Let j(m) = -2*m - 7. Suppose 2*q = -f + 1, 15 = -2*f + 3*q - 4. Let a be j(f). Factor y - a - 2*y**2 + 3 - 3 - y**3 + 5.
-(y - 1)*(y + 1)*(y + 2)
Let v(q) be the third derivative of -q**7/35 - q**6/60 + 3*q**5/10 + 3*q**4/4 + 2*q**3/3 - 9*q**2. Let v(j) = 0. What is j?
-1, -1/3, 2
Let v = -222 + 224. Find x such that 2/9*x - 2/9*x**v + 0 - 2/9*x**3 + 2/9*x**4 = 0.
-1, 0, 1
Suppose 2*s + 28 = 4*c, -4*c - 3*s + 34 = -8*s. Let 2*n + 26*n**2 + 49*n**4 - 77*n**3 - 6*n + c*n**2 = 0. What is n?
0, 2/7, 1
Let g(b) be the third derivative of b**7/945 - b**6/90 - 4*b**5/135 + b**4/18 + 7*b**3/27 - 40*b**2. Let g(r) = 0. What is r?
-1, 1, 7
Let c(j) be the second derivative of 0*j**2 - 2*j + 0 - 3/20*j**5 - 1/4*j**4 - 1/6*j**3 - 1/30*j**6. Find p, given that c(p) = 0.
-1, 0
Let z = 14 + -9. Let g(v) be the third derivative of -1/84*v**4 + v**2 + 0*v**3 + 0*v + 0 + 1/420*v**6 - 1/210*v**z + 1/735*v**7. Factor g(n).
2*n*(n - 1)*(n + 1)**2/7
Let o(t) be the third derivative of -t**6/12 - 3*t**5/10 - t**4/4 + t**3/3 - 3*t**2. Factor o(j).
-2*(j + 1)**2*(5*j - 1)
Let j(y) be the third derivative of -1/105*y**7 + 0*y**4 + 3*y**2 + 0*y**3 + 0 - 1/60*y**6 + 0*y**5 + 0*y. Factor j(o).
-2*o**3*(o + 1)
Let o(g) be the third derivative of -1/336*g**8 + 0*g**5 + 0*g + 0*g**7 + 0 + 1/60*g**6 - 1/24*g**4 + g**2 + 0*g**3. Factor o(m).
-m*(m - 1)**2*(m + 1)**2
Factor 3/2*f**2 + 0 - 1/2*f**3 + 0*f.
-f**2*(f - 3)/2
Let q = 11 - 6. Suppose -3*z + 30 = 3*i, 0 + 30 = q*i + z. Find v such that 58/3*v**3 - 25/3*v**4 + 28/3*v + 4/3*v**i - 61/3*v**2 - 4/3 = 0.
1/4, 1, 2
Suppose 2*t = 2, d + d = -4*t + 10. Factor -5*y**2 + 2*y**2 - y**d + 2*y**2.
-y**2*(y + 1)
Let c(k) be the first derivative of 4*k**5/5 - 33*k**4/5 + 244*k**3/15 - 6*k**2 - 72*k/5 + 9. Solve c(v) = 0 for v.
-2/5, 1, 3
Let l(h) be the first derivative of -h**6/1800 + h**5/600 + h**3/3 + 3. Let b(u) be the third derivative of l(u). Find g such that b(g) = 0.
0, 1
Suppose -13 = -5*c - 3. Let y(i) = -4*i**3 - 3*i + 1 + c*i**2 + 3*i - 3. Let v(r) = r**3 + r**2 - r + 1. Let h(n) = -2*v(n) - y(n). Factor h(a).
2*a*(a - 1)**2
Suppose 0*h - 4*h - 16 = 0. Let u = h - -13/3. Factor 0 + 1/3*b + u*b**2.
b*(b + 1)/3
Determine h, given that 4/3*h**2 + 0 + 11/3*h**3 + 0*h + 4/3*h**5 - 19/3*h**4 = 0.
-1/4, 0, 1, 4
Suppose 0 = -3*t - 357 - 39. Let o be -9*(t/(-45) + -3). Factor 0 + 3/5*c - o*c**4 - 9/5*c**2 + 9/5*c**3.
-3*c*(c - 1)**3/5
Let i = 23 - 13. Suppose 1 + 27*j**3 - 5*j**2 + 3 - j**3 - 13*j**2 - 2*j - i*j**4 = 0. What is j?
-2/5, 1
Let u(f) = 6*f**3 - f**2 + 5*f - 5. Let y(r) = r**3 + r - 1. Let m(b) = -u(b) + 5*y(b). Factor m(x).
-x**2*(x - 1)
Let y(k) = -19*k**2 + 69*k - 11. Let i(f) = 5*f**2 - 17*f + 3. Let t(s) = 22*i(s) + 6*y(s). Determine l so that t(l) = 0.
0, 10
Find x, given that -14 - 36 + 24*x - 22 - 2*x**2 = 0.
6
Let y = 501/2 + -240. Solve -3 + 27/2*n - y*n**2 = 0.
2/7, 1
Let n(k) be the second derivative of 11*k**5/10 + 14*k**4/9 - 7*k**3/9 - 2*k**2/3 + 28*k. Solve n(m) = 0 for m.
-1, -2/11, 1/3
Let n(q) be the first derivative of -529*q**6/6 + 230*q**5 - 717*q**4/4 + 100*q**3/3 - 2*q**2 + 23. Determine a so that n(a) = 0.
0, 2/23, 1
What is j in 2/9*j + 2/3*j**3 - 2/3*j**2 - 2/9*j**4 + 0 = 0?
0, 1
Let z(w) = -17*w + 5. Let t be z(4). Let v be (-12)/t*9/6. Let 2/7 + v*f**3 + 6/7*f**2 + 6/7*f = 0. What is f?
-1
Let l = 1 + 1. Suppose -l*y - y = -m, m - 4*y + 1 = 0. Find i, given that -6*i**4 - 10*i**2 + i + i + 13*i**3 + i**m = 0.
0, 1/3, 1
Let k(j) be the third derivative of -j**5/105 + j**4/28 - j**3/21 - 4*j**2. Factor k(g).
-2*(g - 1)*(2*g - 1)/7
Let 35*j**4 + 4*j**3 + 4*j**3 - 63*j**4 = 0. Calcul