) = 0?
-1, 0, 2
Factor -20*m**2 + 3*m**3 + 169*m - 349*m - 8*m**3 - 10 + 155*m.
-5*(m + 1)**2*(m + 2)
Let d = 10/19 + -11/57. Let g(j) be the second derivative of -d*j**3 + j - 3/10*j**5 + 2/3*j**4 + 0 + 0*j**2. Let g(k) = 0. Calculate k.
0, 1/3, 1
Let y be (2/(-4)*5)/(2/(-4)). Let z(c) be the second derivative of 1/30*c**y + 2/3*c**2 + 0 + 3*c + 2/9*c**4 + 5/9*c**3. Solve z(i) = 0 for i.
-2, -1
Let h(i) = -25*i - 500. Let t be h(-20). Factor -10/3*u**3 + 2*u + 4/3*u**2 + t.
-2*u*(u - 1)*(5*u + 3)/3
Let w(f) be the third derivative of 4*f**2 + 1/600*f**6 - 1/150*f**5 + 1/1050*f**7 + 0*f**3 + 0*f**4 + 0 + 0*f. Determine m so that w(m) = 0.
-2, 0, 1
Suppose 0 = 23*z - 18*z. Factor 2/9*h + 0*h**2 + z - 2/9*h**3.
-2*h*(h - 1)*(h + 1)/9
Let a(c) be the third derivative of -11*c**7/70 + 13*c**6/40 + c**5 - c**4/2 + 22*c**2. Suppose a(f) = 0. Calculate f.
-1, 0, 2/11, 2
Factor 12/19*x**2 + 2/19*x**4 + 8/19*x**3 + 2/19 + 8/19*x.
2*(x + 1)**4/19
Suppose 0 = -2*x + t - 4, -x - 2*x - 20 = -5*t. Determine q so that 7/2*q**5 + 13*q**4 + x*q + 10*q**3 - 4*q**2 + 0 = 0.
-2, 0, 2/7
Let t(i) be the second derivative of i**7/2520 + i**6/720 - i**4/3 + 3*i. Let h(l) be the third derivative of t(l). Factor h(x).
x*(x + 1)
Let f(a) = a**3 + 5*a**2 + 2*a + 6. Let d be f(-5). Let w be (-1)/(7/(70/d)). Let w*p + 1 - 9/2*p**3 - 3*p**2 = 0. What is p?
-1, -1/3, 2/3
Let r(u) be the third derivative of u**8/6720 - u**7/4200 - u**6/1800 + u**4/8 + 4*u**2. Let o(q) be the second derivative of r(q). Factor o(h).
h*(h - 1)*(5*h + 2)/5
Let k(b) be the first derivative of b**3/3 + b**2 - 3*b - 13. Suppose k(f) = 0. Calculate f.
-3, 1
Let s(x) be the second derivative of -2/7*x**2 - 2*x + 1/21*x**3 + 0 + 1/42*x**4. Determine l so that s(l) = 0.
-2, 1
Let z be 2/((-3)/24*-4). Let q(c) be the second derivative of 2*c - 7/36*c**z + 0*c**2 - 1/45*c**6 - 7/60*c**5 + 0 - 1/9*c**3. Solve q(j) = 0 for j.
-2, -1, -1/2, 0
Let c(k) = k**3 + 6*k**2 + 7*k + 12. Let t be c(-5). Let j(p) be the second derivative of 0 + 2*p - 1/15*p**3 - 1/6*p**4 - 2/25*p**5 + 0*p**t. Factor j(n).
-2*n*(n + 1)*(4*n + 1)/5
Suppose 3*f = 8*f - 330. Let b = f - 39. Solve 2*w + 21*w**2 + 23*w**4 - 3*w**5 - 8*w - b*w**3 - 8*w**4 = 0.
0, 1, 2
Suppose -12 = 2*b - 5*b. Let j be -2 - (2 + -2 - 6). Determine n, given that -2*n**3 + 2*n**b - j*n**2 + 4*n**2 = 0.
0, 1
Let f(b) be the first derivative of b**6/900 - b**5/225 + b**4/180 + b**2/2 + 2. Let g(o) be the second derivative of f(o). What is s in g(s) = 0?
0, 1
Let l = 4 + -12. Let w be ((-3)/l)/(9/6). Find h such that -1/4*h**4 - w*h**2 + 0 + 1/2*h**3 + 0*h = 0.
0, 1
Let c = 2 + -2. Suppose -4*y - 1 = 3*x, c = -4*y - 5*x - 0 - 7. What is a in 2*a**3 + 4*a + 0 + 2*a**4 - y - 6*a**3 = 0?
-1, 1
Let t(p) = 18*p**5 - 25*p**4 - 3*p**3 + 8*p**2 + 2*p - 1. Let b(f) = -f**4 + f**3 - 1. Let l(r) = -b(r) + t(r). Factor l(z).
2*z*(z - 1)**2*(3*z + 1)**2
Let j(d) be the second derivative of d**7/14 - d**6/10 - 3*d**5/20 + d**4/4 + 6*d. Find t, given that j(t) = 0.
-1, 0, 1
Let j = 6/19 - -33/76. Let v(b) be the first derivative of 0*b + j*b**6 + 21/10*b**5 + 2*b**4 + 2/3*b**3 - 1 + 0*b**2. Factor v(k).
k**2*(k + 1)*(3*k + 2)**2/2
Let k = 1469/45 + -292/9. Factor 1/5*w**3 + 0 - 1/5*w - 1/5*w**2 + k*w**4.
w*(w - 1)*(w + 1)**2/5
Let z(a) be the second derivative of -5*a**7/14 - 6*a**6/5 - 27*a**5/20 - a**4/2 - 4*a - 5. Factor z(o).
-3*o**2*(o + 1)**2*(5*o + 2)
Factor 0*b - 2/9*b**2 + 2/9.
-2*(b - 1)*(b + 1)/9
Let a(x) = x**5 - x**3 + 2*x**2 - 2*x - 2. Let h(l) = -7*l**5 + 7*l**3 - 13*l**2 + 13*l + 13. Let s(w) = 39*a(w) + 6*h(w). Find q such that s(q) = 0.
-1, 0, 1
Let r(m) be the third derivative of m**9/60480 + m**8/20160 - m**5/20 - m**2. Let x(f) be the third derivative of r(f). Find i, given that x(i) = 0.
-1, 0
Determine s so that -5/2*s**3 - 1/4*s**5 + 5/2*s**2 - 5/4*s + 5/4*s**4 + 1/4 = 0.
1
Let n(z) be the first derivative of -2/3*z**3 + 4 + 2*z - 1/2*z**4 + z**2. Find k, given that n(k) = 0.
-1, 1
Let w = 1 + 2. Let z = -44/287 - -18/41. Determine u, given that -10/7*u**4 + 10/7*u + z*u**5 + 20/7*u**w - 2/7 - 20/7*u**2 = 0.
1
Let a(v) = 78*v**2 - 60*v + 15. Let l(n) = -n**2 + n. Let b(d) = -83*d**2 + 66*d - 14. Let x(r) = -b(r) + 6*l(r). Let i(p) = 2*a(p) - 3*x(p). Factor i(t).
-3*(5*t - 2)**2
Solve 122/3*l**3 - 64/3*l**4 + 8/3*l**5 + 32/3 + 50/3*l**2 - 112/3*l = 0 for l.
-1, 1/2, 4
Let o(a) be the third derivative of a**7/840 - a**6/80 + a**5/20 - a**4/6 - 5*a**2. Let x(h) be the second derivative of o(h). Let x(d) = 0. What is d?
1, 2
Let l(k) = 2*k**2 - 46*k + 46. Let m be l(22). Let r(x) be the second derivative of 1/42*x**4 - 2/7*x**m - 2*x + 0 - 1/21*x**3. Factor r(n).
2*(n - 2)*(n + 1)/7
Let q(n) be the second derivative of 0*n**2 + 0 - 4*n + 2/21*n**3 + 1/42*n**4. Solve q(s) = 0.
-2, 0
Let v(x) be the third derivative of -x**7/105 - x**6/30 + x**5/10 - 6*x**2. What is s in v(s) = 0?
-3, 0, 1
Let v be -2 - 49/42*14/(-7). Factor -v*t + 0 - 1/6*t**4 + 1/6*t**2 + 1/3*t**3.
-t*(t - 2)*(t - 1)*(t + 1)/6
Let j be (-78)/(-12) + 1/2. Solve -6*v + v**4 + v**4 - v - j*v - 10*v**3 + 18*v**2 + 4 = 0.
1, 2
Factor 0*i**3 + 4/9*i**2 + 0*i - 4/9*i**4 + 0.
-4*i**2*(i - 1)*(i + 1)/9
Let f(r) be the second derivative of -r**4/12 + 2*r**2 - 3*r. Factor f(m).
-(m - 2)*(m + 2)
Let v(c) be the second derivative of -2*c + 0*c**2 + 0 - 9/4*c**4 + c**3. Factor v(j).
-3*j*(9*j - 2)
Let f(q) be the first derivative of -4/3*q**3 - 2 + 0*q**2 - 7/2*q**4 + 0*q. Find t, given that f(t) = 0.
-2/7, 0
Let w(c) = 2 + c**3 + 0*c**2 + 4 - 5*c - 3*c**2 + 0*c**3. Let j be w(4). Factor 4/5*v**j + 0*v + 0 - 6/5*v**3 + 2/5*v**4.
2*v**2*(v - 2)*(v - 1)/5
Let v be 14/14*20/22. Let f be (-5)/(-44) - (-2)/8. Let -f*k**2 + 6/11*k**3 + 0*k + 0 + v*k**4 = 0. What is k?
-1, 0, 2/5
Let n be 44/154 - 26/(-7). Let h(t) be the third derivative of 1/210*t**7 + 2*t**2 + 0*t**3 + 0*t**n + 0*t + 0*t**6 + 0 + 0*t**5. Suppose h(m) = 0. Calculate m.
0
Suppose 3*a + 2*q - 2 = 0, -q = -2*a - 3*a + 12. Solve x**3 - x**2 + 4*x**2 + 3*x + 3 - a = 0.
-1
Suppose 2*v - 11 - 3 = 0. Let -2 + 4 - v*w**2 + 5*w**2 = 0. Calculate w.
-1, 1
Let c = -1721/5 - -7329/20. Let r = c + -22. Factor -1/4 - 1/2*i - r*i**2.
-(i + 1)**2/4
Let i(l) = 5*l + 2*l - 3*l + l - 4 - l**2. Let g(n) = n - 1. Let m = -3 + 4. Let c(k) = m*i(k) - 3*g(k). Factor c(o).
-(o - 1)**2
Suppose -3*c + 23 = 4*s, 0 = -s - 4*c - 1 + 10. Suppose 2*f + j = 3, -j - 2 - 13 = -4*f. Factor f*b**2 + s*b**2 + 2*b + 1 - 1.
2*b*(4*b + 1)
Let h(c) be the second derivative of 0*c**2 - 1/90*c**6 + 3*c - 1/20*c**5 - 1/12*c**4 + 0 - 1/18*c**3. Factor h(q).
-q*(q + 1)**3/3
Let m(t) be the first derivative of -t**4 + 8*t**3/3 + 2*t**2 - 8*t + 15. Determine n so that m(n) = 0.
-1, 1, 2
Let c(m) = -m**3 - 6*m**2 + m + 7. Let f be c(-6). Let n be f*8 + -3 + 5. Find q such that 0*q**5 + 11*q**3 - n*q**3 - q**5 = 0.
-1, 0, 1
Suppose -16*t = -13*t. Let h(b) be the third derivative of 1/12*b**4 + 0*b + 0*b**3 + b**2 + t + 1/30*b**5. What is x in h(x) = 0?
-1, 0
Let k(l) be the third derivative of -l**8/1008 - l**7/210 - l**6/120 - l**5/180 - 54*l**2. Let k(j) = 0. Calculate j.
-1, 0
Let f(d) = -d**3 + d**2 + 1. Let m(s) = s**4 + 5*s**3 - 5*s**2 - 5. Let q(w) = 10*f(w) + 2*m(w). Factor q(c).
2*c**4
Let v(h) be the second derivative of 2*h**6/15 + h**5/20 - 4*h**4/3 - 2*h**3/3 - 16*h. Factor v(q).
q*(q - 2)*(q + 2)*(4*q + 1)
Let q(i) = 5*i**3 - 5*i**2 - 20*i - 15. Let s(o) = -o**2 - o - 1. Let x(u) = -q(u) + 5*s(u). Suppose x(d) = 0. What is d?
-1, 2
Suppose -9 = -3*f, 0*r + f - 5 = -r. Let u(q) be the second derivative of 1/36*q**4 + 0*q**r + q - 1/9*q**3 + 0. Let u(c) = 0. Calculate c.
0, 2
Find w, given that -6*w**2 + 0*w + 4*w**3 - 5*w**3 + 3*w + 4*w**3 = 0.
0, 1
Suppose -3*x = 3*m - 4 + 7, -1 = 4*m + x. Solve m - 1/2*o**5 + 0*o**3 + 0*o + o**4 + 0*o**2 = 0.
0, 2
Let k(f) be the third derivative of f**8/1848 - f**7/231 + 7*f**6/660 - f**5/110 - f**2 - 9*f. Find y such that k(y) = 0.
0, 1, 3
Let k = -97 - -1747/18. Let x(u) be the third derivative of -1/60*u**5 + 0*u - 1/360*u**6 - 2*u**2 + 0 - 1/24*u**4 - k*u**3. Factor x(g).
-(g + 1)**3/3
Let q = 1277/795 + -1/159. What is s in 24/5*s + q + 2*s**2 = 0?
-2, -2/5
Suppose -185*i = -182*i - 162. Factor 24*h + 8/3 + i*h**2.
2*(9*h + 2)**2/3
Supp