ermine s, given that o(s) = 0.
0, 1
Find z, given that 2 + z**2 + 2 + 5*z + 0 + 0 = 0.
-4, -1
Let b(k) = k**2 + k - 3. Let v be b(-4). Suppose 2*q = -q + v. Let 1 - 2*o**2 - o + 0*o**2 + o**q + o**2 = 0. Calculate o.
-1, 1
Suppose 4 + 70*y**3 + 14*y**4 + 11*y**4 - 20*y + 24*y**4 - 3*y**2 = 0. What is y?
-1, 2/7
Let j(h) be the second derivative of 7*h**7/15 + 7*h**6/3 + 39*h**5/50 - 163*h**4/30 - 88*h**3/15 - 12*h**2/5 + 35*h. What is t in j(t) = 0?
-3, -1, -2/7, 1
Suppose -12*s + 0*s = -48. Suppose 4/5 + 8/5*y - 1/5*y**s + 1/5*y**5 - y**3 + 1/5*y**2 = 0. Calculate y.
-1, 2
Let 6/11*o**2 + 2/11*o**3 + 0 + 4/11*o = 0. What is o?
-2, -1, 0
Let j(r) be the first derivative of 3*r**5/5 + 15*r**4/4 + 7*r**3 + 9*r**2/2 - 10. Factor j(c).
3*c*(c + 1)**2*(c + 3)
Find o such that -51*o**2 + 16 - 47*o**2 + 4*o - 4*o**3 + 82*o**2 = 0.
-4, -1, 1
Let b(l) be the second derivative of l**7/210 + l**6/50 + l**5/50 - l**4/30 - l**3/10 - l**2/10 + 5*l. Find f, given that b(f) = 0.
-1, 1
Let s = 56 - 36. Suppose 0*q + s = 4*q. Factor -u**4 + u**2 + 19*u**4 - 8*u**q - 12*u**3 + u**2.
-2*u**2*(u - 1)**2*(4*u - 1)
Let c be 5 + 0 - 18/30*5. Factor 0*t**3 - 4/7*t + 2/7*t**4 - 6/7*t**c + 0.
2*t*(t - 2)*(t + 1)**2/7
Let a(n) = -n + 4. Let h be a(4). Find v such that v**4 - 1/2*v - v**2 + h + 1/2*v**3 = 0.
-1, -1/2, 0, 1
Let u(d) be the second derivative of -d**7/105 + 2*d**6/75 - d**5/50 - 15*d. Factor u(h).
-2*h**3*(h - 1)**2/5
Let r(b) be the first derivative of -3*b**5/5 + 25. Let r(p) = 0. Calculate p.
0
Determine i so that 2/7*i**2 - 4/7*i + 0 = 0.
0, 2
Factor 0 + 1/2*i - 3/2*i**2 + 3/2*i**4 - 1/2*i**3.
i*(i - 1)*(i + 1)*(3*i - 1)/2
Factor -3*h**3 + 6*h**3 - h**4 - h**4 + 12*h**5 - 13*h**5.
-h**3*(h - 1)*(h + 3)
Let i(p) be the third derivative of -2/3*p**3 + 1/30*p**5 + 1/12*p**4 + 0 + 3*p**2 + 0*p. Solve i(l) = 0 for l.
-2, 1
Let i(x) be the second derivative of 0*x**2 + 0 - 1/60*x**6 + 0*x**4 - 1/168*x**7 - 3*x - 1/80*x**5 + 0*x**3. Factor i(p).
-p**3*(p + 1)**2/4
Let j(q) be the first derivative of -q**6/30 - q**5/20 - q - 4. Let z(c) be the first derivative of j(c). Factor z(p).
-p**3*(p + 1)
Let i be (0 + -3)*(-4)/36. Factor -1/3*r + i*r**3 + 2/3 - 2/3*r**2.
(r - 2)*(r - 1)*(r + 1)/3
Let h be (-1)/(-12)*(-12)/(-3). Let b(z) be the first derivative of -4/15*z**5 + 1/9*z**6 - h*z**4 - 4/3*z - 1 + 8/9*z**3 + 1/3*z**2. Find c such that b(c) = 0.
-1, 1, 2
Let i = -8 - -34. Let f be 2/(-4) - i/(-12). Factor 7/3*w**2 + f*w + 1/3 + w**3.
(w + 1)**2*(3*w + 1)/3
Let t(z) = -9*z**2 + 57*z + 45. Let m(v) = -2*v**2 + 14*v + 11. Let k(w) = -21*m(w) + 5*t(w). Solve k(y) = 0 for y.
-2, -1
Suppose -3*f - 2*b = -0*f + 46, -3*b - 15 = 0. Let l be (-2)/(f/9)*2. Suppose 13*s**3 - 11*s**l - s**4 - s**4 = 0. What is s?
0, 1
Let i be 1/3*(17 - 5). Factor 4*b**4 + b**3 - 2*b**i + 2*b**2 + 0*b**2 - 5*b**3.
2*b**2*(b - 1)**2
Let a(f) be the second derivative of 0*f**2 + 0 + 0*f**3 - 3/20*f**5 - 1/10*f**6 + 0*f**4 + 2*f. Factor a(n).
-3*n**3*(n + 1)
Suppose 0 = 2*v - 6, 0 = z - 3*v - 0 + 4. Determine y so that -y + 1/3*y**z + 1/3 - y**4 + 2/3*y**3 + 2/3*y**2 = 0.
-1, 1
Let d(c) = 0*c - 7 + 5*c**2 + 3*c**3 - 2*c - 2*c**3. Let y be d(-5). Find u such that 0*u**2 + 4*u + y*u**2 - u**2 = 0.
-2, 0
Let r(g) be the first derivative of g**3/2 + 3*g**2/8 - 9*g/2 + 8. Let r(v) = 0. What is v?
-2, 3/2
Factor -r**3 - 3*r**3 + r**3 - 6 - 12*r**2 + 0*r**3 - 15*r.
-3*(r + 1)**2*(r + 2)
Let w(y) be the third derivative of y**7/210 + y**6/60 + y**5/60 + 20*y**2. Factor w(x).
x**2*(x + 1)**2
Let n be (-1)/(-2) + (-190)/(-76). Determine w, given that 0*w**2 - 4/5*w + 4/5*w**n + 2/5 - 2/5*w**4 = 0.
-1, 1
Let c be (-4)/14 + (-30)/(-7). Factor 4*m + m**5 - 10*m**4 - 3*m**3 + 19*m**4 - 11*m**4 + c*m**2.
m*(m - 2)**2*(m + 1)**2
Let o(r) be the second derivative of 3/4*r**2 - 1/8*r**4 - 1/4*r**3 - 8*r + 3/40*r**5 + 0. Determine c, given that o(c) = 0.
-1, 1
Let i(p) = -p**3 + 5*p**2 + 5*p - 1. Let j(o) = o**2 - 1. Let l(y) = i(y) - 4*j(y). Factor l(n).
-(n - 3)*(n + 1)**2
Let w(r) be the third derivative of -r**5/10 - r**4/4 - 6*r**2. Let j(i) = -i**3 + 5*i**2 + 5*i - 1. Let b(n) = 3*j(n) + 4*w(n). Factor b(u).
-3*(u + 1)**3
Suppose -4*i = 1 - 21. Suppose i*q - 20 = q. Let 2*m**2 + 3*m**3 + m**3 + 2*m**4 - 3*m**q - m - 4*m**4 = 0. Calculate m.
-1, 0, 1/3, 1
Let u = -377 + 379. Let h = -213 + 1083/5. Let 2/5*s**u - 12/5*s + h = 0. What is s?
3
Let k(d) = -6*d + 11. Let b(f) = -f + 2. Let s(u) = 11*b(u) - 2*k(u). Let v(h) = 3*h**2 + 3. Let o(r) = -6*s(r) + v(r). Determine g, given that o(g) = 0.
1
Solve 0*v**2 + 1/5*v**3 - 2/5 - 3/5*v = 0 for v.
-1, 2
Let v(d) be the third derivative of 0*d + 0*d**3 - 1/120*d**6 + 1/60*d**5 + 1/336*d**8 - 2*d**2 - 1/210*d**7 + 0*d**4 + 0. Suppose v(l) = 0. Calculate l.
-1, 0, 1
Let t(u) be the third derivative of -u**6/120 - u**5/10 + u**4/3 + 3*u**3/2 + 3*u**2. Let g be t(-7). Suppose l - l - 3*l**3 - 3*l**g = 0. Calculate l.
-1, 0
Let d(w) be the first derivative of -w**7/70 + w**6/10 - w**5/4 + w**4/4 - 3*w**2/2 - 1. Let o(l) be the second derivative of d(l). Factor o(s).
-3*s*(s - 2)*(s - 1)**2
Let s(h) be the third derivative of h**7/840 + h**6/160 + h**5/240 - h**4/32 - h**3/12 + 18*h**2. Factor s(y).
(y - 1)*(y + 1)**2*(y + 2)/4
Let d(h) be the first derivative of h**9/4536 + h**8/840 + h**7/630 + 2*h**3/3 + 2. Let f(r) be the third derivative of d(r). Factor f(m).
2*m**3*(m + 1)*(m + 2)/3
Let k = -21 + 64/3. Let x(t) be the first derivative of k*t**3 + 0*t - 1 - 1/2*t**2. Factor x(z).
z*(z - 1)
Suppose -7 = 5*v - 17. Suppose -v*y + 19 - 3 = 0. Factor 2*w**4 - 5*w**3 - 2 + w**2 + y*w**3 - 3*w + 0*w**4 - w**4.
(w - 1)*(w + 1)**2*(w + 2)
Let l(g) be the third derivative of -1/270*g**5 + 0 + 1/540*g**6 - 1/108*g**4 + 0*g + 1/27*g**3 - 3*g**2. Factor l(r).
2*(r - 1)**2*(r + 1)/9
Let k(m) be the third derivative of -m**9/151200 + m**7/12600 - 7*m**5/60 - 5*m**2. Let c(x) be the third derivative of k(x). Factor c(r).
-2*r*(r - 1)*(r + 1)/5
Let x(p) be the first derivative of p**6/1620 - p**5/540 - p**4/54 + p**3 - 2. Let m(t) be the third derivative of x(t). Let m(u) = 0. Calculate u.
-1, 2
Determine r so that 2/5*r**3 + 24/5*r**2 + 18*r + 20 = 0.
-5, -2
Let f = -149 + 151. Find c such that 3 - 21/2*c**f + 15/2*c**4 + 9/2*c**3 - 9/2*c = 0.
-1, 2/5, 1
Factor -11*r**2 - 7*r**3 + 4*r**4 - 48*r + 63*r**2 - 17*r**3 + 16.
4*(r - 2)**2*(r - 1)**2
Factor -512/7 - 2/7*t**3 - 576/7*t - 66/7*t**2.
-2*(t + 1)*(t + 16)**2/7
Let m(g) be the third derivative of g**8/6 + 26*g**7/105 - 9*g**6/70 - 16*g**5/105 + 2*g**4/21 + 4*g**2. Find j such that m(j) = 0.
-1, -1/2, 0, 2/7
Suppose 21*v = -12*v + 7*v. Find t such that -1/4*t**3 + 3/4*t**2 + v - 1/2*t = 0.
0, 1, 2
Let y(a) be the first derivative of -25*a**4/36 - 5*a**3/9 - a**2/6 - 7*a - 2. Let n(i) be the first derivative of y(i). Find m, given that n(m) = 0.
-1/5
Let r(v) be the third derivative of -v**7/210 + v**6/6 - 5*v**5/3 - 26*v**2. Let r(m) = 0. Calculate m.
0, 10
Let q(m) = -84*m**2 - 87*m - 3. Let l = -40 + 22. Let t(i) = -24*i**2 - 25*i - 1. Let x(n) = l*t(n) + 5*q(n). Factor x(b).
3*(b + 1)*(4*b + 1)
Suppose -5*v - 17 = -2. Let t be (-2 - -2)/(3/v). What is h in 2/7*h**2 - 2/7*h**3 + 0 + t*h = 0?
0, 1
Let x be (-2)/(-9) - 1048/18. Let r be x/(-56) - (-3)/(-4). Factor 0*o**2 - 2/7*o**3 + 0 + 0*o + r*o**4.
2*o**3*(o - 1)/7
Let g(k) be the third derivative of k**9/15120 + k**8/6720 - k**7/5040 - k**5/10 - 4*k**2. Let x(w) be the third derivative of g(w). Find b such that x(b) = 0.
-1, 0, 1/4
Let b(z) be the second derivative of 3/5*z**6 + 16*z**2 - 2*z - 4/3*z**4 + 32/3*z**3 + 0 - 12/5*z**5. Factor b(k).
2*(k - 2)**2*(3*k + 2)**2
Let i be 48/22 - 14/77. Determine g so that 2/5 + 8/5*g + 6/5*g**i = 0.
-1, -1/3
Let w(i) be the first derivative of -1 + 0*i**2 + 1/42*i**4 + i + 0*i**3. Let x(z) be the first derivative of w(z). Let x(m) = 0. What is m?
0
Let p(b) be the second derivative of b**7/10080 - b**4/12 + 2*b. Let c(l) be the third derivative of p(l). Suppose c(w) = 0. What is w?
0
Find q, given that 20*q**4 + 2*q**3 + 9*q**3 - 3*q**3 - 3*q**3 = 0.
-1/4, 0
Let p = 1 - 1. Let n(m) = 2*m + 27. Let q be n(-12). Factor p - 2/5*y**4 + 0*y + 2/5*y**2 + 0*y**q.
-2*y**2*(y - 1)*(y + 1)/5
Let n(l) be the first derivative of 5*l**5 + 5*