, given that g(m) = 0.
-1, 2/9
What is x in -5*x**2 - 16*x**3 + 9*x**3 + x**5 - 3*x**4 - 2*x**3 = 0?
-1, 0, 5
Factor 12/5*c + 2/5*c**2 + 18/5.
2*(c + 3)**2/5
Let x(t) be the first derivative of t**8/1680 + t**7/840 - t**6/360 - t**5/120 - 2*t**3/3 + 2. Let q(z) be the third derivative of x(z). Factor q(c).
c*(c - 1)*(c + 1)**2
Let r(b) = b**2 + 5*b + 4. Let k(q) = 6*q + 6. Let x(v) = -v - 1. Let y(z) = -2*k(z) - 11*x(z). Let g(u) = r(u) + 5*y(u). Factor g(m).
(m - 1)*(m + 1)
Suppose 6/7*m**2 - 2/7*m**3 + 2/7 - 6/7*m = 0. Calculate m.
1
Let d(h) be the third derivative of -h**8/1176 + h**7/735 + h**6/420 - h**5/210 - h**2. Let d(j) = 0. What is j?
-1, 0, 1
Suppose 0 = -15*m + 10*m. Factor 0 + 0*v**2 + m*v + 4/3*v**3 - 2*v**4.
-2*v**3*(3*v - 2)/3
Let k(p) be the third derivative of p**7/210 + p**6/60 - p**5/20 - 24*p**2. Find q, given that k(q) = 0.
-3, 0, 1
Let o(w) = -w**4 + 11*w**3 - 10*w**2 - 9*w - 9. Let q(z) be the first derivative of z**4/4 - z**3/3 - z**2/2 - z + 4. Let l(h) = 2*o(h) - 18*q(h). Factor l(d).
-2*d**2*(d - 1)**2
Let l(m) be the second derivative of -3*m**5/50 - m**4/15 + m**3/15 - 14*m + 2. Factor l(s).
-2*s*(s + 1)*(3*s - 1)/5
Factor -2/11*n**2 - 32/11*n + 34/11.
-2*(n - 1)*(n + 17)/11
Factor 8/9*y**3 + 2/9 + 2*y**2 + 4/3*y.
2*(y + 1)**2*(4*y + 1)/9
Let m(g) be the third derivative of -4/27*g**3 + 0*g + 2/27*g**4 + 1/315*g**7 + g**2 + 1/270*g**5 + 0 - 2/135*g**6. Solve m(y) = 0 for y.
-1, 2/3, 1, 2
Factor 1/4*b + 0 + 3/4*b**2 + 3/4*b**3 + 1/4*b**4.
b*(b + 1)**3/4
Suppose 14*t - 20*t = 0. Determine b, given that 2/7 + t*b - 2/7*b**2 = 0.
-1, 1
Let y(u) be the first derivative of 1/2*u**2 - u + 1/3*u**3 - 2 - 1/4*u**4. Let y(r) = 0. Calculate r.
-1, 1
Factor -2 - 10*a + 5*a**2 - 1 + 6 + 2.
5*(a - 1)**2
Suppose 0*z**2 + 0 - 4/3*z + z**3 - 1/3*z**4 = 0. Calculate z.
-1, 0, 2
Let a = 22 + -13. Let w(o) = 3*o**2 - 1 - o**2 - 8. Let y(s) = -s**2 + 4. Let c(m) = a*y(m) + 4*w(m). Factor c(h).
-h**2
Let w(a) be the second derivative of a**6/80 + 3*a**5/80 + a**4/32 + 7*a. Determine r, given that w(r) = 0.
-1, 0
What is c in 8*c**3 - 5*c**4 + 5*c**4 + 8*c - 3 - 2*c**4 + 1 - 12*c**2 = 0?
1
Let w(v) be the first derivative of 4*v**3/3 - 8*v**2 + 16*v - 1. Factor w(l).
4*(l - 2)**2
Let f(g) = 5*g**2 + 41*g + 24. Let d(n) = -15*n**2 - 122*n - 73. Let p(q) = 6*d(q) + 17*f(q). Find k such that p(k) = 0.
-6, -1
Let a(i) be the second derivative of i**7/3360 - i**6/480 + i**5/160 + i**4/2 - 2*i. Let s(j) be the third derivative of a(j). Find u such that s(u) = 0.
1
Let t(d) = 9*d**3 + 51*d**2 + 55*d + 16. Let m(u) = -u**2 - u. Let a(o) = -3*m(o) - t(o). Factor a(k).
-(k + 4)*(3*k + 2)**2
Suppose 0 = -0*p + 2*p - 5*a - 14, -2*p + 2 = a. Let 3*v**p - 2*v**2 + 4 - 4*v + 0*v = 0. What is v?
2
Let l(y) be the first derivative of 0*y**2 - 1 + 2/27*y**3 - 2/9*y. Determine d, given that l(d) = 0.
-1, 1
Let i be 15/10*8/6. Let c(t) be the third derivative of -1/18*t**3 + 1/180*t**5 + 0 - 1/360*t**6 + 0*t + 1/72*t**4 - i*t**2. Factor c(h).
-(h - 1)**2*(h + 1)/3
Let f(h) = h**2 - 5*h - 6. Let p be f(6). Factor 0*r + p - 4/5*r**2 - 2/5*r**3.
-2*r**2*(r + 2)/5
Let l(t) be the third derivative of -1/20*t**5 + t**2 + 5/8*t**4 + 0*t - 1/40*t**6 - 3/2*t**3 + 0. Factor l(u).
-3*(u - 1)**2*(u + 3)
Suppose 50 = 2*j + 2*j - 2*u, 4*j + 3*u = 75. Let m be 27/5 + (-6)/j. Factor 2*i + 4*i**4 - i**5 + 0*i**5 + i**m - 2*i**5 - 4*i**2.
-2*i*(i - 1)**3*(i + 1)
Let o(u) be the first derivative of u**4 + u**3/3 + u**2/2 - u - 3. Let y be o(1). Factor -n**2 - 2 - 4 + 5 + 3*n - y*n.
-(n + 1)**2
Suppose -c + 3*g - 7 = 4, c - 4*g = -16. Factor 0*z**c - z**3 + 0 - z**4 + 0.
-z**3*(z + 1)
Let f(s) = s**2 - 103*s + 107. Let o(t) = 51*t - 54. Let q(k) = 3*f(k) + 5*o(k). Determine y, given that q(y) = 0.
1, 17
Let i(z) be the third derivative of z**7/3780 - z**6/270 + z**5/45 + 5*z**4/24 + 5*z**2. Let h(d) be the second derivative of i(d). Factor h(j).
2*(j - 2)**2/3
Let u(p) be the second derivative of -p**4/42 + p**3/7 - 2*p**2/7 + 6*p. Factor u(j).
-2*(j - 2)*(j - 1)/7
Let f(n) = -2*n**3 - 2*n**2 + 2*n + 2. Let r(t) be the first derivative of t + 1/2*t**2 - 2 - 1/3*t**3. Let l(g) = -f(g) + 2*r(g). Factor l(w).
2*w**3
Let m(x) = -13*x**3 + 2*x - 6*x + 4*x**3 + 3*x**2. Let i(f) = 14*f**3 - 4*f**2 + 6*f. Let u(y) = -5*i(y) - 8*m(y). What is s in u(s) = 0?
0, 1
Let h = -11 - -13. Suppose -h*v**2 - 26 - 16*v - 2*v**2 + 2*v**2 - 6 = 0. Calculate v.
-4
Factor -3/4*o - 3/8*o**2 + 0.
-3*o*(o + 2)/8
Let h(k) be the second derivative of -1/4*k**4 + 3*k - 1/10*k**5 + 0 + k**2 - 1/60*k**6 - 1/3*k**3. Let u(g) be the first derivative of h(g). Solve u(n) = 0.
-1
Let n(q) be the second derivative of -q**7/14 - 11*q**6/40 - 27*q**5/80 - q**4/16 + q**3/8 - 13*q. Factor n(j).
-3*j*(j + 1)**3*(4*j - 1)/4
Suppose -28*r**2 - 4 + 12*r**4 - 6395*r + 6427*r + 36*r**5 + 20 - 68*r**3 = 0. Calculate r.
-1, -2/3, 1
Let i(c) be the third derivative of c**5/60 - c**4/12 + c**3/6 - 3*c**2. Factor i(t).
(t - 1)**2
Let g(s) be the second derivative of -4*s**6/15 - 23*s**5/10 + 17*s**4/3 - 7*s**3/3 - 28*s. Suppose g(d) = 0. What is d?
-7, 0, 1/4, 1
Suppose 4*v + 2*v = -210. Let m be ((-8)/(-10))/((-14)/v). Determine y so that 6 - 6*y + 3/2*y**m = 0.
2
Factor 0*w**3 - 2*w**3 - 3*w**3 - 10*w**2 + 10*w**3.
5*w**2*(w - 2)
Let t = -53 - -55. Let v(f) be the second derivative of 1/10*f**6 - 1/10*f**5 - 1/3*f**4 + 0 + 1/3*f**3 + 1/2*f**t - 3*f. Determine j, given that v(j) = 0.
-1, -1/3, 1
Let y be (-3)/2 - 113/(-75). Let d(s) be the second derivative of y*s**6 + 1/30*s**3 - 1/60*s**4 - 1/100*s**5 - s + 0 + 0*s**2. Solve d(f) = 0 for f.
-1, 0, 1
Factor 1/2*c**2 - 1/10*c**3 - 7/10*c + 3/10.
-(c - 3)*(c - 1)**2/10
Let m(x) = -x**2 - 5*x + 5. Let a be m(-5). Factor -4 + 3*c**2 + 6*c + 2 - a*c.
(c + 1)*(3*c - 2)
Let z(g) = 2*g - 4. Let m be z(5). Factor 4*t + 6*t - m*t - 3*t**2 + t**2.
-2*t*(t - 2)
Solve -6*r - 2*r**2 - 2*r + 470 - 476 = 0 for r.
-3, -1
Let x be (8/10)/(6/15). Find z, given that 3*z**3 - 5 + 10*z - z + 8 + 9*z**x = 0.
-1
Factor -52/3*y**2 + 20/3*y**3 + 16/3 + 16/3*y.
4*(y - 2)*(y - 1)*(5*y + 2)/3
Let p(k) be the first derivative of k**4/4 + 3*k**3 + 27*k**2/2 + 27*k + 3. Factor p(h).
(h + 3)**3
Let w(m) = 11*m**3 + 15*m**2 + 15*m - 7. Let j(k) = 5*k**3 + 7*k**2 + 7*k - 3. Let h(d) = -9*j(d) + 4*w(d). Factor h(t).
-(t + 1)**3
Let m(f) be the first derivative of -f**6/2 - 16*f**5/15 + f**4/3 - 41. Solve m(i) = 0.
-2, 0, 2/9
Let c(v) be the first derivative of -v**4/10 + 4*v**3/3 - 9*v**2/5 + 7. Factor c(g).
-2*g*(g - 9)*(g - 1)/5
Let a(z) be the first derivative of -1/20*z**4 - 5 - 1/25*z**5 + 1/15*z**3 + 0*z + 0*z**2 + 1/30*z**6. Suppose a(t) = 0. Calculate t.
-1, 0, 1
Let u(b) be the second derivative of -b**8/3360 - b**7/420 - b**6/120 - b**5/60 - b**4/6 + 2*b. Let r(j) be the third derivative of u(j). Factor r(z).
-2*(z + 1)**3
Let g be 5 - 2 - (490/(-24))/(-7). Let n(j) be the third derivative of 0 - 1/210*j**7 + 0*j**5 - 1/60*j**6 + g*j**4 + 1/6*j**3 + j**2 + 0*j. Factor n(t).
-(t - 1)*(t + 1)**3
Let k = 429/5 + -85. Suppose -3*z + 2 = -4. Suppose -14/5*x - 18/5*x**z + k = 0. Calculate x.
-1, 2/9
Let g(x) be the second derivative of x**5/10 - 4*x**3/3 - x. Suppose g(t) = 0. Calculate t.
-2, 0, 2
Let j(a) be the first derivative of -2 - 3/2*a + 3/2*a**2 - 1/2*a**3. Factor j(h).
-3*(h - 1)**2/2
Let p(z) = -z + 1. Let i be p(-3). Factor -r**2 + 4*r - i - 5 + 5.
-(r - 2)**2
Let k(f) = -f**2 - 10*f + 1. Let v be k(-10). Solve 4*d**2 - 2*d**2 - 5*d - 10*d**3 + 8*d**2 - d**5 + 5*d**4 + v = 0.
1
Let o(y) be the second derivative of -y**7/840 + y**6/120 - y**5/40 - y**4/4 - 6*y. Let p(z) be the third derivative of o(z). Determine m, given that p(m) = 0.
1
Let d(w) be the first derivative of -w**4/10 + 2*w**3/15 + 2*w**2/5 - 9. Solve d(p) = 0 for p.
-1, 0, 2
Let a(f) be the first derivative of -f**4 + 64*f**3 - 1536*f**2 + 16384*f + 11. Let a(j) = 0. Calculate j.
16
Suppose 2*u - 2 = 2*o - 12, -5*o + 3*u = -23. Determine a so that 2*a**3 + 14*a**o - 4*a**2 + 4*a - 10*a**2 - 6*a**3 = 0.
-1, 0, 2/7, 1
Let a(h) = -3*h**2 + 6*h + 5. Let o(z) = -2*z**2 + 5*z + 4. Let t(u) = -3*a(u) + 4*o(u). Solve t(n) = 0 for n.
-1
Let u(i) be the third derivative of -i**5/300 - i**4/120 + 10*i**2. Factor u(c).
-c*(c + 1)/5
Let