lve z(y) = 0 for y.
-2, -1, -2/3, 1
Let y be 1 + (-2 + 4 - 3). Factor 6/5*a**2 + y + a**3 + 1/5*a.
a*(a + 1)*(5*a + 1)/5
Let m(i) be the first derivative of -i**5/10 + i**4/6 + 2*i**3/3 + 3*i + 8. Let f(s) be the first derivative of m(s). Determine d, given that f(d) = 0.
-1, 0, 2
Let n(a) be the third derivative of 0 - 1/60*a**5 + 0*a - 1/24*a**4 + 3*a**2 + 1/6*a**3 + 1/120*a**6. Factor n(f).
(f - 1)**2*(f + 1)
Let a(b) = 3*b - 2*b + b**2 + b**2. Let i(r) = -10*r**2 - 6*r. Let c(p) = -16*a(p) - 3*i(p). Factor c(x).
-2*x*(x - 1)
Let u(j) be the third derivative of -j**5/300 + j**4/40 - j**3/15 + 6*j**2. Factor u(f).
-(f - 2)*(f - 1)/5
Suppose 3*k + k + k = 0. Let j(f) be the second derivative of 4/9*f**2 + k - 3*f - 4/27*f**3 + 1/54*f**4. Solve j(m) = 0.
2
Solve -141/4*c**3 + 1/2 - 21*c**5 + 9/4*c - 199/4*c**4 - 19/4*c**2 = 0 for c.
-1, -1/3, -2/7, 1/4
Let g be (-2)/(-12) - 8/(-24). Let z(m) be the first derivative of -2 - g*m**4 - m**2 + 0*m + 4/3*m**3. Factor z(v).
-2*v*(v - 1)**2
Let b be (-87)/(-27) - 10/45. Let k(q) be the first derivative of 9/2*q**2 - 3*q**3 - b + 3/4*q**4 - 3*q. Factor k(f).
3*(f - 1)**3
Let o = 0 + 2. Let l(a) = 2*a**2 - 2*a - 2. Let r be l(o). Determine d, given that -3*d - 2*d**2 + d + 0*d**r = 0.
-1, 0
Factor -10/7*s + 12/7 - 4/7*s**2 + 2/7*s**3.
2*(s - 3)*(s - 1)*(s + 2)/7
Let w(u) = 4*u**3 + 2. Let y(p) = -5*p**3 - p**2 + p - 3. Let n(a) = 4*w(a) + 3*y(a). Factor n(d).
(d - 1)**3
Find n, given that 0*n**2 - 3*n**2 + 8*n - 2*n - 3 = 0.
1
Let o(h) be the first derivative of h**5/15 - h**3/3 + h**2/3 + 12. Factor o(d).
d*(d - 1)**2*(d + 2)/3
Let c = -127 - -54. Let i = 367/5 + c. Factor -v - 1/5*v**3 + 4/5*v**2 + i.
-(v - 2)*(v - 1)**2/5
Let g(s) be the third derivative of s**5/12 - 5*s**4/24 - 15*s**2 + s. Let g(j) = 0. What is j?
0, 1
Let h(q) = 6*q**3 - 3*q**2 + 6*q + 5. Let o(g) = -g**3 + g**2 - g - 1. Let u(a) = h(a) + 5*o(a). Factor u(p).
p*(p + 1)**2
Suppose -3*b = -0 - 15. Let k = 8 - b. Let -2*x**4 - 2*x**5 - 2*x + 3*x**2 + 4*x**k - 2 + 0 + x**2 = 0. Calculate x.
-1, 1
Let p(q) be the second derivative of q**7/21 - q**5/10 - 9*q. Factor p(i).
2*i**3*(i - 1)*(i + 1)
Let c(s) = -s**2 + 4*s + 1. Let l(y) = 3*y - 3. Let a be l(2). Let k be c(a). Suppose 2*x**k + 5*x**3 - 10*x**2 - 5*x + 5*x**4 + 2 + x**2 = 0. What is x?
-1, 2/7, 1
Let g(b) be the third derivative of b**6/120 - b**4/8 - b**3/3 + 6*b**2. Factor g(x).
(x - 2)*(x + 1)**2
Let q(y) = -8*y**2 + 13*y + 48. Let i(s) = -20*s**2 + 32*s + 120. Let x(t) = -5*i(t) + 12*q(t). Factor x(f).
4*(f - 3)*(f + 2)
Let f = 52 + -154/3. Factor 0*u - 4/3*u**2 + 0 - f*u**3.
-2*u**2*(u + 2)/3
Let p be ((-4)/(-10))/(1/15). Let j = -3 + p. Factor b**3 - b**3 - b**j.
-b**3
Suppose 0 = -3*k + 9 - 3. Factor 32*s**k + 24*s**3 + 16*s - 37*s**5 - 3*s**4 + 38*s**5 + 11*s**4.
s*(s + 2)**4
Let 3*f + 14/5 + 1/5*f**2 = 0. What is f?
-14, -1
Suppose 2 = -s + 4*f, 4*f - 12 = -8*s + 4*s. Suppose 9*y**3 + 1 - 16*y**5 - y**4 + 23*y**2 - 23*y**4 - s*y**3 + 9*y = 0. Calculate y.
-1, -1/4, 1
Let g(k) be the first derivative of k**7/735 - k**6/420 - k**5/42 - k**4/28 - 5*k**2/2 + 4. Let h(q) be the second derivative of g(q). Factor h(l).
2*l*(l - 3)*(l + 1)**2/7
Factor -5/4*r - 1/2*r**2 - 1/2.
-(r + 2)*(2*r + 1)/4
Let p(r) be the second derivative of -r**4/42 + r**2/7 - 15*r. Find z such that p(z) = 0.
-1, 1
Let x = 115/2 + -341/6. Factor 2/3*z**2 + 0 - x*z**4 - 2/3*z**3 + 2/3*z.
-2*z*(z - 1)*(z + 1)**2/3
What is v in 10*v**5 + 8*v**2 + 12*v**4 - 8*v**3 - 2*v**2 + 23*v**3 - 7*v**5 = 0?
-2, -1, 0
Let f(l) be the first derivative of 6*l**5/5 + 3*l**4/4 - l**3 + 1. Let f(j) = 0. What is j?
-1, 0, 1/2
What is i in 8/13*i**2 - 10/13*i + 4/13 - 2/13*i**3 = 0?
1, 2
Let q(w) be the second derivative of w**6/10 - 3*w**5/20 - w**4/4 + w**3/2 + 15*w. Factor q(v).
3*v*(v - 1)**2*(v + 1)
Suppose 2*g = -0*g - 2*r - 6, g + 15 = -5*r. Solve 2/3*y**2 + 1/3*y + g + 1/3*y**3 = 0.
-1, 0
Factor 6*r**3 + 12*r**2 - 2*r**3 + 334 - 334.
4*r**2*(r + 3)
Let v be (-3)/2*4/(-33). Let s = -481 - -481. Factor -4/11*z**2 + s + v*z + 2/11*z**3.
2*z*(z - 1)**2/11
Factor 2 - 2*j**4 - 44*j**2 + 4*j**3 - 6*j + 2*j + 44*j**2.
-2*(j - 1)**3*(j + 1)
Let q = -1/39 - -9/13. Let o(a) be the first derivative of 0*a**2 + 2 - 2/3*a**3 + 1/3*a**4 + q*a. Determine g so that o(g) = 0.
-1/2, 1
Let i(p) be the third derivative of -2*p**7/35 + p**6/40 + 3*p**5/5 + 5*p**4/8 - p**3 - 16*p**2. What is h in i(h) = 0?
-1, 1/4, 2
Let a(n) = -2*n - 9*n**2 - 3*n**3 - 6*n + 2*n**3. Let o be a(-8). Factor -2*y**2 + y**2 + 1 + o*y**2.
-(y - 1)*(y + 1)
Determine c so that 67*c + 22*c**3 - 17*c - 34*c - 2*c**5 - 36*c**2 = 0.
-4, 0, 1, 2
Let v(d) be the first derivative of 2 - 2/3*d**3 + 0*d + 0*d**2 + 2/5*d**5 - 1/3*d**6 + 1/2*d**4. Factor v(z).
-2*z**2*(z - 1)**2*(z + 1)
Suppose 45 = h - 4*j + 38, 3*h = 5*j + 14. Solve -5/3*c**h + 0 - 2/3*c**2 + 0*c - 1/3*c**4 + 2/3*c**5 = 0.
-1, -1/2, 0, 2
Let s(r) = -2*r**4 + 13*r**3 + 5*r**2 + r + 4. Let b(q) = q**4 - 6*q**3 - 2*q**2 - 2. Let c(o) = 7*b(o) + 3*s(o). Determine x so that c(x) = 0.
-1, 1, 2
Let r(f) be the third derivative of 9/55*f**5 + 9/220*f**6 + 2*f**2 + 3/11*f**4 + 8/33*f**3 + 0 + 0*f. Factor r(i).
2*(3*i + 2)**3/11
Determine m so that 6*m**5 + 61*m - 4*m**5 - 59*m - 8*m**2 - 8*m**4 + 12*m**3 = 0.
0, 1
Let z(a) be the first derivative of 0*a - 1/3*a**3 - 1/4*a**4 - 3 + 0*a**2. Factor z(f).
-f**2*(f + 1)
Let j(o) = -o**2 + 7*o - 1. Let f be j(6). Let w = -81 - -120. Find b such that -45*b**3 - b + 28*b**2 - w*b**4 - 3*b + 11*b**4 + 49*b**f = 0.
-1, 0, 2/7, 1
Suppose 4*f - 6 = 14. Let k = 3 + f. Factor k - 8*t + 0 + 2*t**2 + 0*t**2.
2*(t - 2)**2
Let g(j) = j**2 - j. Suppose -4*u = 5*t - 33, -11 + 3 = -4*u. Suppose -5 = -3*z - 2*z. Let d(b) = -14*b**2 - b - 1. Let o(i) = t*g(i) + z*d(i). Factor o(l).
-(3*l + 1)**2
Let -2/5*q - 6/5*q**2 + 0 - 2/5*q**4 - 6/5*q**3 = 0. What is q?
-1, 0
Let n(w) be the first derivative of w**6/15 - 2*w**5/25 - w**4/5 + 4*w**3/15 + w**2/5 - 2*w/5 - 2. Factor n(t).
2*(t - 1)**3*(t + 1)**2/5
Find c such that -3*c**2 - 2*c**3 - 2*c**2 + c**3 + 4*c**2 = 0.
-1, 0
What is j in -13*j**2 + 0*j**4 + 14*j + 18*j**3 - 17*j**2 + 0*j**4 - 2*j**4 = 0?
0, 1, 7
Let l(y) be the first derivative of 1 + 4/15*y**5 - 1/9*y**6 + 0*y - 4/9*y**3 + 1/3*y**2 + 0*y**4. Let l(q) = 0. What is q?
-1, 0, 1
Let s(o) be the first derivative of -o**8/224 - 3*o**7/70 - 13*o**6/80 - 3*o**5/10 - o**4/4 - o**2 + 1. Let i(q) be the second derivative of s(q). Factor i(c).
-3*c*(c + 1)**2*(c + 2)**2/2
Suppose -5*c + 2*y = -20, -5*c = -2*y + y - 15. Factor -3*m**3 + 4*m**4 + 4*m**2 - m**c + 9*m**3 + m**5 + m + m**2.
m*(m + 1)**4
Let g(t) = t**2 + t - 1. Let b(q) = -3*q**3 + 6*q. Suppose 4*v - 2*j + 4 = 0, 2*v + 5 = -3*v - 3*j. Let k(n) = v*b(n) + 3*g(n). Factor k(y).
3*(y - 1)*(y + 1)**2
Let j be (-854)/12 - (-1)/(-6). Let l = j - -72. Factor 0 + l*i**2 + 2/3*i.
2*i*(i + 1)/3
Let z(a) = 5*a**2 + a - 3. Let y(p) = -6*p**2 + 2. Let j = 11 - 8. Let w(g) = j*y(g) + 4*z(g). Factor w(n).
2*(n - 1)*(n + 3)
Let z(h) = -2*h - 12. Let n be z(-6). Let k(v) be the first derivative of n*v**3 - 2/7*v**2 + 1/7*v**4 + 2/35*v**5 - 2/7*v + 2. Factor k(j).
2*(j - 1)*(j + 1)**3/7
Let c(a) = -a - 7. Let x be c(-7). Let p(k) be the first derivative of 1 + 2/15*k**3 - 1/10*k**4 + x*k**2 + 0*k. Solve p(t) = 0.
0, 1
Let t = 18 + -16. Determine m, given that -6 + 6 + t*m + m**2 - 7*m**5 - 11*m**3 + 19*m**4 - 4*m**3 = 0.
-2/7, 0, 1
Let x(h) be the second derivative of 0 + 5*h + 1/6*h**4 + 2/9*h**3 + 0*h**5 + 0*h**2 - 1/45*h**6. Factor x(a).
-2*a*(a - 2)*(a + 1)**2/3
Let c(m) be the second derivative of m**5/25 + 7*m**4/15 + 2*m**3 + 18*m**2/5 + 10*m. Factor c(i).
4*(i + 1)*(i + 3)**2/5
Let n = 225 + -2473/11. Find u such that -2/11*u**5 + 0*u**2 - n*u**3 + 0*u - 4/11*u**4 + 0 = 0.
-1, 0
Find x, given that 10/9*x**2 + 2*x + 4/9 - 14/9*x**4 - 2*x**3 = 0.
-1, -2/7, 1
Let o(q) be the third derivative of 1/40*q**6 + 0*q + 0 + 1/112*q**8 - 1/4*q**4 + 6*q**2 + 3/70*q**7 + 0*q**3 - 3/20*q**5. Factor o(g).
3*g*(g - 1)*(g + 1)**2*(g + 2)
Suppose -6/7*w**3 + 0 + 0*w + 4/7*w**2 + 2/7*w**4 = 0. What is w?
0, 1, 2
Let g = -94 - -97. Suppose -6*l + 5*n - 17 = -4*l, -2*n + 2 = -2*l. Solve g*i**5 + i**l - 5*i**4 + i**4 = 0.
0, 1
Let i = -318569/210 + 151