(k) = -1. Let y(x) = -5*x**4 + 5*x**3 + 5*x**2 - 5*x - 10. Let q(b) = 10*n(b) - y(b). Suppose q(o) = 0. Calculate o.
-1, 0, 1
Let r(b) be the third derivative of b**5/240 - 5*b**4/16 + 75*b**3/8 - 4*b**2. Factor r(m).
(m - 15)**2/4
Let c(g) be the first derivative of -g**4 + 2*g**2 + 6. Let c(x) = 0. Calculate x.
-1, 0, 1
Let n = -44 + 42. Let t be (-2)/9*(-1 + n). Let -t*p - 2/3*p**2 + 0 = 0. Calculate p.
-1, 0
Let p(c) = -19*c + 58. Let d be p(3). Factor -3/2*x + 0*x**2 + 1/2*x**3 + d.
(x - 1)**2*(x + 2)/2
Suppose -2/11*m + 4/11 - 2/11*m**2 = 0. Calculate m.
-2, 1
Let r be (-2)/8 - -2*(-1)/(-8). Let i(s) be the third derivative of 0 + 0*s + r*s**3 + 1/60*s**5 + 1/24*s**4 - s**2. Factor i(v).
v*(v + 1)
Find y, given that 15*y**2 + 8*y**2 - 26*y**2 - 45*y = 0.
-15, 0
Let g be 3 + (406/(-20))/7. Let m(p) be the second derivative of 0*p**2 - 1/3*p**4 - 1/3*p**3 + 0 - g*p**5 + 2*p. Factor m(d).
-2*d*(d + 1)**2
Let c(i) be the second derivative of -i**9/1008 + i**7/280 - i**3/3 - 3*i. Let f(n) be the second derivative of c(n). Let f(v) = 0. Calculate v.
-1, 0, 1
Suppose -2*l = -2*i - 4 + 2, -i - 3*l = -19. Let p be (-4)/6*(-2)/i. Solve 0 + 0*o + 2/3*o**2 - p*o**3 - o**4 = 0.
-1, 0, 2/3
Let a = -16 + 21. Let o(k) = k**3 - k. Let r(l) = l**4 - 5*l**3 - 3*l**2 + 3*l. Let s(z) = a*o(z) + r(z). Determine t, given that s(t) = 0.
-1, 0, 2
Let r(f) be the second derivative of -f**6/1800 + f**5/300 - f**3/6 + 3*f. Let b(s) be the second derivative of r(s). Solve b(n) = 0.
0, 2
Let r(k) = k**2 + 4*k + 3. Let d = 12 + -9. Let i(q) = -q**2 - 4*q - 3. Let l(t) = d*i(t) + 4*r(t). Determine y so that l(y) = 0.
-3, -1
Let h(t) be the second derivative of -t**7/147 - 4*t**6/105 - 3*t**5/35 - 2*t**4/21 - t**3/21 - 5*t. Determine a so that h(a) = 0.
-1, 0
Let h(p) be the first derivative of -p**7/80 - p**6/36 + p**5/80 + p**4/24 - 2*p**3 - 1. Let z(w) be the third derivative of h(w). Factor z(u).
-(u + 1)*(3*u - 1)*(7*u + 2)/2
Let x be (-1)/5 - 1281/45. Let f = x - -29. Factor -a + a**2 - 1/3*a**3 + f.
-(a - 1)**3/3
Let t(v) be the first derivative of v**4/20 + 3*v**3/5 + 27*v**2/10 + 27*v/5 + 44. Find k, given that t(k) = 0.
-3
Let z be 2 + 5 + -3 + -1. Let l(h) be the first derivative of 0*h**2 - 2 + 0*h + 2/3*h**z. Factor l(m).
2*m**2
Let h(g) = 3*g**2 - 2*g + 1. Suppose 3 = 5*o - 2. Let x be h(o). Solve l - 1/2*l**x - 1/2*l**3 + 0 = 0.
-2, 0, 1
Let t(a) be the first derivative of 49*a**6/30 + 77*a**5/20 + 8*a**4/3 + 2*a**3/3 + a + 3. Let q(p) be the first derivative of t(p). Factor q(y).
y*(y + 1)*(7*y + 2)**2
Find a such that 19*a - 9*a - 15*a**2 - 3*a + 5*a**3 - 5 + 8*a = 0.
1
Let h = -7610/13 - -586. What is v in -2/13*v**4 - 8/13*v**2 + h*v**3 + 0*v + 0 = 0?
0, 2
Let y(c) be the third derivative of -c**8/252 + c**7/315 + c**6/90 - c**5/90 + 29*c**2. Solve y(u) = 0 for u.
-1, 0, 1/2, 1
Factor -3*d - 19*d**3 + 9*d**2 + 0*d**2 + 22*d**3 - 9.
3*(d - 1)*(d + 1)*(d + 3)
Let r(m) = -m. Let l(x) = 4*x**2 + 8*x + 2. Suppose 0 = 3*t - 6*t + 6. Let d(i) = t*l(i) - 2*r(i). Factor d(w).
2*(w + 2)*(4*w + 1)
Factor 5/2*b + 1 - 1/2*b**4 + 3/2*b**2 - 1/2*b**3.
-(b - 2)*(b + 1)**3/2
Let t(y) = -y**3 + y**2 + 2*y. Let w be t(2). Factor 2/7*r**2 + 0*r + w + 2/7*r**3.
2*r**2*(r + 1)/7
Factor -5/3*i - 5*i**2 + 0 + 20/3*i**3.
5*i*(i - 1)*(4*i + 1)/3
Factor 32/19*x**4 + 66/19*x**2 + 0 - 144/19*x**3 - 8/19*x.
2*x*(x - 4)*(4*x - 1)**2/19
Let p(v) be the second derivative of v + 0 - 5/2*v**2 - 1/6*v**3 - 1/6*v**4. Let y(c) = c**2 + c + 3. Let x(u) = -3*p(u) - 5*y(u). Solve x(i) = 0 for i.
0, 2
Let u(r) be the third derivative of -r**5/240 - 8*r**2. Let u(m) = 0. What is m?
0
Let t(r) = 2*r + 8. Let d be t(-4). Let z(o) be the first derivative of -1/2*o**4 + 0*o + d*o**2 - 4/9*o**3 + 16/15*o**5 - 1/3*o**6 + 1. Solve z(n) = 0.
-1/3, 0, 1, 2
Let n(r) = -3*r**3 + 3*r**2 + 8*r. Let p(o) = 21*o**3 - 21*o**2 - 57*o. Let s(v) = 15*n(v) + 2*p(v). Factor s(g).
-3*g*(g - 2)*(g + 1)
Let x(l) = -l - 1. Let z(c) = c**2 + 11*c + 4. Let o(k) = -2*k**2 - 12*k - 4. Let d(h) = 3*o(h) + 4*z(h). Let s(u) = d(u) + 4*x(u). Solve s(t) = 0.
0, 2
Let q(l) be the second derivative of 0*l**4 + 0 - 2/3*l**3 + 5*l + 1/30*l**6 + 3/20*l**5 + 0*l**2. Factor q(n).
n*(n - 1)*(n + 2)**2
Let v(n) be the second derivative of n**5/5 + n**4/2 - n**3 - 2*n**2 + 18*n. Determine j, given that v(j) = 0.
-2, -1/2, 1
Let c be 2/(-84)*3*(-2)/3. Let o(w) be the second derivative of 0 + 2/7*w**2 - c*w**3 - 2*w - 1/42*w**4. Factor o(d).
-2*(d - 1)*(d + 2)/7
Let i(m) = -m - m**3 + 0*m - 2*m + 4*m. Suppose 0 = 2*g - 3*g - 22. Let n(q) = q**4 + 11*q**3 - 2*q**2 - 11*q + 1. Let k(c) = g*i(c) - 2*n(c). Factor k(w).
-2*(w - 1)**2*(w + 1)**2
Let o be (-860)/(-140) + (-8 - -2). Determine y so that 0 + o*y + 0*y**2 - 1/7*y**3 = 0.
-1, 0, 1
Let f(r) = -r - 1. Let h(n) = -n**2 - 8*n - 1. Let w(p) = 6*f(p) - h(p). Let j be w(-4). Solve -2/3*l**2 - 1/3*l - 1/3*l**j + 0 = 0.
-1, 0
Let x = -313 - -315. Factor -1/4*d**x - 1/4 - 1/2*d.
-(d + 1)**2/4
Let x(o) be the third derivative of o**8/1680 + 2*o**7/525 + o**6/100 + o**5/75 + o**4/120 + 42*o**2. Factor x(c).
c*(c + 1)**4/5
Determine c so that -c - 2*c**3 + 6 - 7*c - 6*c**2 + 2 + 6*c**3 + 2*c**4 = 0.
-2, 1
Suppose 6*l - 5*l - 6 = 0. Let m(a) be the second derivative of 0 - 2*a**4 - 64/75*a**l - 56/25*a**5 - 1/5*a**2 - 13/15*a**3 + a. Factor m(k).
-2*(k + 1)*(4*k + 1)**3/5
Let f be 0 - ((-26)/(-16) + -1). Let a = f + 9/8. Let 1/2 - q**2 + 3/4*q - 3/2*q**3 + 3/4*q**5 + a*q**4 = 0. Calculate q.
-1, -2/3, 1
Let h(w) be the second derivative of -w**5/10 + w**3 - 2*w**2 + 7*w. Factor h(d).
-2*(d - 1)**2*(d + 2)
Let y(s) be the third derivative of -1/90*s**5 + 0 - 2/9*s**3 - 2*s**2 + 1/12*s**4 + 0*s. Let y(g) = 0. What is g?
1, 2
Let y(c) be the third derivative of -c**5/60 - c**4/24 + c**3/3 - c**2. Factor y(t).
-(t - 1)*(t + 2)
Let w(g) be the third derivative of -1/9*g**4 + 0*g + 0 - 4/45*g**5 - 1/315*g**7 + 5*g**2 + 0*g**3 - 1/36*g**6. Factor w(n).
-2*n*(n + 1)*(n + 2)**2/3
Suppose 2*s = 3*m, 5*m - 4*s - s = 0. Let 4*x**2 + 4*x**3 + m*x**3 + 3*x**3 - 3*x**3 = 0. What is x?
-1, 0
Suppose 3*t + 3*o = -0*o + 54, 0 = -3*o. Suppose 5*l - 19 = 2*g + t, -l + g + 8 = 0. Factor 3*s**3 + 2*s - l*s - 3*s - s + 6.
3*(s - 1)**2*(s + 2)
Let l(o) be the third derivative of -o**6/24 + o**5/12 + 5*o**4/6 - 10*o**3/3 + 19*o**2. Factor l(f).
-5*(f - 2)*(f - 1)*(f + 2)
Suppose 0*r + 2*r - 6 = 0. Let v(i) be the first derivative of 3/4*i**2 - 1 + 1/6*i**r + i. Suppose v(s) = 0. What is s?
-2, -1
Suppose 2*j + 9 = -3*r - j, -5*r = j - 5. Let g be (4/15)/(4/10). Factor g*p - 4/3 + 2/3*p**r.
2*(p - 1)*(p + 2)/3
Factor -10/13*d + 2/13*d**2 + 6/13 + 2/13*d**3.
2*(d - 1)**2*(d + 3)/13
Let t(q) be the first derivative of 2*q**4 - 2*q**3/3 - 4*q**2 + 2*q + 3. What is y in t(y) = 0?
-1, 1/4, 1
Let a(v) be the third derivative of -7*v**6/60 + v**5/15 + 7*v**4/12 - 2*v**3/3 + 19*v**2. Factor a(j).
-2*(j - 1)*(j + 1)*(7*j - 2)
Let r(x) be the first derivative of x**8/112 + x**7/210 - x**6/24 - x**5/60 + x**4/12 + 3*x**2/2 + 4. Let a(u) be the second derivative of r(u). Factor a(c).
c*(c - 1)*(c + 1)**2*(3*c - 2)
Let o(k) = 8*k**2. Let n be o(1). Let q(m) = -m**2 + 9*m - 8. Let w be q(n). Factor 0 + w*u + 1/2*u**3 + 0*u**2.
u**3/2
Let o(d) be the second derivative of 1/80*d**5 + 0 + 5/24*d**3 + 1/12*d**4 + 1/4*d**2 - 3*d. Factor o(g).
(g + 1)**2*(g + 2)/4
Suppose -4*r + 96 = -2*r. Solve -37*b**2 - 72*b**2 + 12*b**2 + 384*b**3 - 71*b**2 - 189*b**5 + 261*b**4 - 240*b - r = 0 for b.
-2/3, -2/7, 1, 2
Let s(a) be the second derivative of a**6/165 - 7*a**5/110 + 13*a**4/66 + a**3/11 - 18*a**2/11 - 26*a. Solve s(x) = 0.
-1, 2, 3
Let u be 3/1 + (-3 - -5). Let z(v) be the third derivative of 2*v**2 + 1/12*v**4 + 0 + 1/3*v**3 + 0*v - 1/30*v**u - 1/60*v**6. Solve z(j) = 0 for j.
-1, 1
Let a = 663/785 - 7/157. Solve 0*s + 2/5*s**3 - a*s**2 + 0 = 0 for s.
0, 2
Let a = -5/189 + 277/945. Factor a*r**2 + 2/15 + 2/5*r.
2*(r + 1)*(2*r + 1)/15
Let q(x) be the third derivative of -23/60*x**5 + 0*x - 1/12*x**3 - 125/672*x**8 - 13/48*x**4 + x**2 + 0 + 1/24*x**6 + 5/12*x**7. Factor q(j).
-(j - 1)**2*(5*j + 1)**3/2
Let -1/5*k - 2/5*k**2 + 0 - 1/5*k**3 = 0. Calculate k.
-1, 0
Let c(g) = -4*g. Let t(m) = m**2 + 10*m + 13. Let x(q) = 4*c(q) - 4*t(q). Solv