 - f + 1. Let u be n(y). Factor -s**u + s**5 - 7*s**2 + 0*s**5 - s**3 + 8*s**2.
s**2*(s - 1)**2*(s + 1)
Let w(b) = -b - 10. Let x be w(8). Let i = x + 56/3. Determine l so that 0*l**3 + 2*l**2 - 4/3*l + 0 - i*l**4 = 0.
-2, 0, 1
Let h(a) = -a**3 + 3*a**2 - a. Let p be 5/(-15) + 14/6. Let f be h(p). Factor 4*i + 4*i**2 - 15*i**f - 2*i + 9*i**3.
i*(i - 1)*(9*i - 2)
Let d(j) = j**3 + 8*j**2 + 22*j. Let n(r) = -3*r**3 - 24*r**2 - 65*r. Let m(u) = -17*d(u) - 6*n(u). Factor m(y).
y*(y + 4)**2
Let v(j) be the third derivative of -1/18*j**3 + 1/180*j**5 - 1/72*j**4 + j**2 + 1/360*j**6 + 0*j + 0. Find s such that v(s) = 0.
-1, 1
Suppose -3*a = 5*b - 29, -b + 6 = 2. Let u(d) be the second derivative of -1/24*d**4 - 1/80*d**5 + 0 - 1/24*d**a + 0*d**2 - 2*d. Find y, given that u(y) = 0.
-1, 0
Let g(x) be the second derivative of x**6/45 + x**5/10 + x**4/9 + 3*x. Determine j so that g(j) = 0.
-2, -1, 0
Suppose v - 2*v = -2. Factor -4*d**5 + d**5 + d**5 + v*d**3.
-2*d**3*(d - 1)*(d + 1)
Let y = -1022/5 + 205. Suppose -19 = 3*x - 7*x - 3*g, 0 = -3*x + 3*g + 9. Suppose -y*p + 6/5*p**x + 0*p**3 + 0 + 3/5*p**5 - 6/5*p**2 = 0. Calculate p.
-1, 0, 1
Factor 0*h + 0*h**2 + 1/4*h**4 + 0 + 1/4*h**3.
h**3*(h + 1)/4
Factor 2/3 + 2/9*v**2 + 8/9*v.
2*(v + 1)*(v + 3)/9
Let g(p) be the third derivative of 1/70*p**7 + 0*p - 1/168*p**8 + 0*p**3 - 3*p**2 - 1/60*p**5 + 0*p**6 + 0*p**4 + 0. Determine m, given that g(m) = 0.
-1/2, 0, 1
Let y be -7 - ((-3655)/30)/17. Factor y*n**2 + 2/3*n**3 - 2/3*n - 1/6.
(n - 1)*(n + 1)*(4*n + 1)/6
Let j = -4/75 - -34/75. Let k(n) be the first derivative of 2 - 1/2*n**4 + 0*n**3 + 0*n**2 - j*n**5 + 0*n. Let k(h) = 0. What is h?
-1, 0
Factor 2/5*m**4 - 22/5*m**2 + 72/5 - 4/5*m**3 + 24/5*m.
2*(m - 3)**2*(m + 2)**2/5
Let s be 592/2880 - 2/10. Let v(c) be the third derivative of 0 + s*c**5 + 2*c**2 + 1/72*c**4 - 1/18*c**3 - 1/360*c**6 + 0*c. Suppose v(x) = 0. What is x?
-1, 1
Let m(j) = -12*j**5 - 30*j**4 - 42*j**3 + 3*j**2 + 9*j - 9. Let g(i) = -i**4 + i**3 - i**2 - i + 1. Let t(x) = -9*g(x) - m(x). Suppose t(l) = 0. What is l?
-2, -1, -1/4, 0
Let y(u) be the third derivative of -u**5/15 + u**4/6 + 16*u**2. Find o such that y(o) = 0.
0, 1
Let m be (2/6)/(11/66). Factor 2*s**3 + 2 + 0 + 4 + 16*s + 10*s**m + 2.
2*(s + 1)*(s + 2)**2
Suppose -4/3 - m + 1/3*m**2 = 0. Calculate m.
-1, 4
Suppose 0 = 2*l + 6, -5*l = -5*i - l + 12. Solve 0*t**2 - t - 2*t**2 + 2*t + i*t**2 = 0 for t.
0, 1/2
Let j(b) = 4*b**2 + 8*b + 10. Let h(v) = -2*v**2 - 9*v - 6*v**2 + 3*v**2 + v - 11. Let l(k) = -k + 2. Let r be l(0). Let q(d) = r*h(d) + 3*j(d). Factor q(u).
2*(u + 2)**2
Let y(n) = -22 - 32 + 3*n + 41. Let j be y(6). Factor 0*g + 0*g**2 - 3/4*g**4 + 0 - 1/4*g**j - 1/2*g**3.
-g**3*(g + 1)*(g + 2)/4
Let w(p) be the first derivative of 4*p + 6*p**2 - 1 - 7/3*p**3. Suppose w(x) = 0. Calculate x.
-2/7, 2
Let x(j) be the second derivative of -j**7/280 - j**6/24 - j**5/5 - j**4/2 + j**3/6 - 4*j. Let o(w) be the second derivative of x(w). Let o(u) = 0. What is u?
-2, -1
Let n be (-6)/(-27) - (-5)/180. Factor -9/4 - n*y**2 + 3/2*y.
-(y - 3)**2/4
Suppose 118*c - 28 + 4*c**3 - 18*c**2 - 58*c - 18*c**2 = 0. What is c?
1, 7
Let 18*n**3 - 10*n**4 + 30*n + 5*n**4 + 2*n**4 - 36*n**2 + 0 - 9 = 0. Calculate n.
1, 3
Let d(k) be the first derivative of 16*k + 2*k**4 - 4*k**3 + 4/5*k**5 - 10 - 8*k**2. Determine i so that d(i) = 0.
-2, 1
Let 42*n**2 - 37*n**2 - 4*n - 6*n - 5*n = 0. What is n?
0, 3
Let x(v) be the second derivative of v**4/12 + 5*v**3/3 + 25*v**2/2 - 2*v. Determine r, given that x(r) = 0.
-5
Let b(z) be the third derivative of -z**6/24 - z**5/12 + 11*z**2. Factor b(f).
-5*f**2*(f + 1)
Let p(l) be the first derivative of -l**3 + 2 + 0*l + 0*l**2 - 3/4*l**4. Solve p(r) = 0.
-1, 0
Determine k so that 9*k**5 - 2*k**5 + 21*k**4 - 2*k**5 - 21*k**2 - 18*k**3 + 6*k + 7*k**5 = 0.
-2, -1, 0, 1/4, 1
Let h(t) = 3*t**2 - 4*t + 7. Let o(j) = -j + j**2 + 9 + 0*j**2 - 7. Suppose -k = k + 5*a - 24, -4*k - 4*a = -36. Let c(q) = k*o(q) - 2*h(q). Factor c(l).
l*(l + 1)
Suppose -36 = -3*j + 108. Let 44*b**2 - 12*b - 5*b - 4*b + 18*b**4 - j*b**3 + 5*b + 2 = 0. Calculate b.
1/3, 1
Let u(o) be the third derivative of -o**9/30240 + o**7/2520 - o**5/15 - 3*o**2. Let i(q) be the third derivative of u(q). Determine r so that i(r) = 0.
-1, 0, 1
Let v be (0 - 0/(-3)) + 0. Factor v*c**4 + 2*c**5 - 6*c**4 + 4*c**4.
2*c**4*(c - 1)
Suppose v + 8 = 5*v. Factor 37*f**v - f - 4 - 33*f**2 + f.
4*(f - 1)*(f + 1)
Let r(g) be the first derivative of 1 + 0*g - 1/6*g**3 + 1/4*g**2. Solve r(z) = 0 for z.
0, 1
Let l = -455/4 - -114. Determine g so that 0*g**2 + 1/4*g**3 - l*g**4 + 0 + 0*g = 0.
0, 1
Let b = 2 - -3. Let f(s) = 3*s**2 - 1. Let j(r) = -7*r**2 + r + 3. Let d(h) = b*f(h) + 2*j(h). Factor d(v).
(v + 1)**2
Let l(p) be the third derivative of -p**8/168 - p**7/35 - p**6/20 - p**5/30 - 4*p**2. Factor l(c).
-2*c**2*(c + 1)**3
Let o(n) = n. Let d(a) = -5*a**3 + 7*a**2 + 3*a. Let h(b) = -d(b) + 5*o(b). Factor h(t).
t*(t - 1)*(5*t - 2)
Let q(r) be the second derivative of r**6/15 - 2*r**5/5 + r**4 - 4*r**3/3 + r**2 + 10*r. Factor q(j).
2*(j - 1)**4
Let a(y) = 2*y + 5. Let u(t) = 1 - 2*t - 1 + 5*t + t**2 + 6. Let z(h) = -4*a(h) + 3*u(h). Factor z(g).
(g + 1)*(3*g - 2)
Let b(t) = t**3 - 3*t**2 - t + 3. Let n(m) = -3*m**3 + 7*m**2 + 3*m - 7. Suppose r - 4*r = 18. Let h(w) = r*n(w) - 15*b(w). Factor h(v).
3*(v - 1)*(v + 1)**2
Let b(p) be the second derivative of -p**6/1440 + p**5/480 + 2*p**3/3 + 3*p. Let l(n) be the second derivative of b(n). Factor l(k).
-k*(k - 1)/4
Find w, given that 2/17*w**5 + 6/17*w + 0 + 4/17*w**2 - 4/17*w**4 - 8/17*w**3 = 0.
-1, 0, 1, 3
Suppose 0 = 3*q - 1 - 8. Let x(f) = f**3 - 4*f**2 + 4*f. Let d be x(q). Solve -4/3*m**d - 8/3*m + 2/3 + 10/3*m**2 = 0.
1/2, 1
Find y, given that -12*y + 15/2*y**2 - 6 = 0.
-2/5, 2
Let g(y) = -y**3 + 2*y**2 + 3*y + 2. Let b be g(0). Let v(x) be the second derivative of 1/6*x**4 + 0 + 0*x**b - 1/18*x**3 - 3/20*x**5 - 4*x. Factor v(r).
-r*(3*r - 1)**2/3
Let m = -8/51 - -76/51. Find b such that m*b + 2/3*b**2 + 2/3 = 0.
-1
Suppose 1/3*c**2 - 2/3 + 1/3*c = 0. Calculate c.
-2, 1
Let f = -1 + 1. Suppose 5*s - 2 - 8 = f. What is u in -1/3*u**4 - 1/3*u**3 + 1/3*u + u**s - 2/3 = 0?
-2, -1, 1
Let d(a) be the second derivative of -49*a**6/6 + 21*a**5/2 - 15*a**4/4 + 38*a. Determine f so that d(f) = 0.
0, 3/7
Let l(f) be the first derivative of f**6/3 - f**5/5 - 3*f**4/4 + f**3/3 + f**2/2 + 24. Factor l(i).
i*(i - 1)**2*(i + 1)*(2*i + 1)
Let f(v) = -27*v**5 - 14*v**4 - 4*v**3 + 6*v**2 + 6*v. Let t(u) = -80*u**5 - 43*u**4 - 12*u**3 + 17*u**2 + 17*u. Let p(r) = 17*f(r) - 6*t(r). Solve p(w) = 0.
-2/3, -2/7, 0
Let j(h) = -h**3 - 7*h**2 - 7*h - 3. Let c be j(-6). Determine k so that -2*k**3 - k**3 - 5*k**3 - 2 + c*k**2 + 8*k - k**2 = 0.
-1, 1/4, 1
Suppose 279/2*k**2 + 525/4*k**3 + 51*k + 6 + 147/4*k**4 = 0. Calculate k.
-2, -1, -2/7
Let b(n) be the second derivative of n**5/20 + 2*n**4/3 - n**3/6 - 4*n**2 + 37*n. Factor b(a).
(a - 1)*(a + 1)*(a + 8)
Let a = 109 + -105. Determine q, given that 0 + 2/7*q**a + 2/7*q + 6/7*q**3 + 6/7*q**2 = 0.
-1, 0
Let o(u) = -6*u**2 + 2. Let t(m) = -m**3 - 7*m**2 - m + 3. Let i(w) = 6*o(w) - 4*t(w). Determine r so that i(r) = 0.
0, 1
Find o such that 0*o**2 + 0*o**3 + 0 + 2/5*o**4 + 2/5*o**5 + 0*o = 0.
-1, 0
Let x(h) be the second derivative of h**7/280 - h**6/32 + h**5/10 - h**4/8 - 2*h**2 + 3*h. Let u(q) be the first derivative of x(q). Factor u(g).
3*g*(g - 2)**2*(g - 1)/4
Let d(u) be the first derivative of u**4/28 + 2*u**3/21 + u**2/14 + 13. Suppose d(m) = 0. Calculate m.
-1, 0
Let u(x) be the third derivative of x**7/105 - x**6/15 - 19*x**2. Factor u(r).
2*r**3*(r - 4)
Let x(a) be the second derivative of -a**8/4200 + a**7/2100 + a**6/450 - a**3/3 - 3*a. Let r(o) be the second derivative of x(o). Find m, given that r(m) = 0.
-1, 0, 2
Let v = 13 + -19. Let s be v/((-1)/1) - 2. Let -u**s + 4*u**4 + 12*u**3 + 3 + 12*u + 18*u**2 + 0*u**4 = 0. Calculate u.
-1
Let k(c) = c**3 - 34*c**2 + 30*c + 102. Let o be k(33). Solve 0 + v**2 + 1/2*v**o + 1/2*v = 0 for v.
-1, 0
Let o(g) be the first derivative of 0*g**4 - 1/24*g**6 + 1/10*g**5 + 0*g - 1/6*g**3 + 1/8*g**2 - 5. Factor o(n).
-n*(n - 1)**3*(n + 1)/4
Find y such that -6/17*y**4 + 2/17*y**5 + 6/17*