 o(s) = 26*s**2 - 9. Let d(w) = 9*w**2 - 3. Let c(f) = -17*d(f) + 6*o(f). Factor c(h).
3*(h - 1)*(h + 1)
Let z(o) be the second derivative of o**4/114 + 14*o**3/57 + 4*o - 3. Factor z(t).
2*t*(t + 14)/19
Let n(g) be the second derivative of -g**7/189 - 2*g**6/135 + g**5/30 + 2*g**4/27 - 4*g**3/27 - 7*g. Factor n(k).
-2*k*(k - 1)**2*(k + 2)**2/9
Let b(r) be the second derivative of r**6/180 - r**5/120 - 8*r. What is w in b(w) = 0?
0, 1
Let m = 12/29 - 98/377. What is l in 6/13*l**4 - 2/13*l**5 - 6/13*l**3 + 0 + m*l**2 + 0*l = 0?
0, 1
Let q(g) be the first derivative of -3 + 1/8*g**2 + 0*g**3 + 0*g + 0*g**5 - 1/8*g**4 + 1/24*g**6. Suppose q(o) = 0. Calculate o.
-1, 0, 1
Suppose 15/7*x**3 - 90/7*x**2 + 45/7*x - 6/7 + 36/7*x**4 = 0. What is x?
-2, 1/4, 1/3, 1
Let a = -3 + 4. Suppose -9 - 3 = 4*f, 81 = 3*j - 5*f. Factor -9*u**4 + 8*u - a + 24*u**3 + 4*u**4 - 4*u**4 - j*u**2.
-(u - 1)**2*(3*u - 1)**2
Let 0*q**2 - 2/5*q**5 + 2*q**4 + 0 + 0*q - 8/5*q**3 = 0. Calculate q.
0, 1, 4
Let g(k) be the first derivative of -k**3 - 3*k**2 + 9*k + 22. Find d, given that g(d) = 0.
-3, 1
Let j(b) be the second derivative of 0*b**4 - 1/40*b**6 + 0 + 0*b**3 - 1/80*b**5 + b + 0*b**2 - 1/84*b**7. Factor j(k).
-k**3*(k + 1)*(2*k + 1)/4
Let k(t) be the second derivative of -t**7/84 - t**6/15 - 3*t**5/40 + t**4/6 + t**3/3 - 42*t. Determine q, given that k(q) = 0.
-2, -1, 0, 1
Let u(l) be the second derivative of -3*l**5/70 + 4*l**4/21 + l**3/7 - 10*l. Factor u(o).
-2*o*(o - 3)*(3*o + 1)/7
What is m in -1/5*m**3 + m + 3/5 + 1/5*m**2 = 0?
-1, 3
Let y(n) be the third derivative of n**4/12 - 5*n**3/6 + 2*n**2. Let q be y(4). Factor -1/3*r**5 + 0*r**q + 0 + 1/3*r - 2/3*r**2 + 2/3*r**4.
-r*(r - 1)**3*(r + 1)/3
Suppose j - 5 = -5*k, -7*j = -5*j - 3*k + 3. Solve 0 + j*h - 1/5*h**3 - 1/5*h**2 = 0.
-1, 0
Let x = -2 - -2. Let c = 3 + x. Factor 5*h**4 - 17*h**c - h**5 + 1 + 3*h**2 + 7*h**3 - 5*h + 7*h**2.
-(h - 1)**5
Let m(b) be the third derivative of b**8/2016 + b**7/1260 - b**6/360 - b**5/180 + b**4/144 + b**3/36 - 23*b**2. Suppose m(z) = 0. Calculate z.
-1, 1
Let p(z) be the first derivative of z**3 + 3*z**2/2 - 6*z + 22. Suppose p(x) = 0. What is x?
-2, 1
Factor -8/7*x**2 + 2/7*x**3 + 0*x + 0.
2*x**2*(x - 4)/7
Suppose -4*r - 26 + 2 = -4*o, -4*r = 3*o + 10. Solve 1/5*d**4 + 2/5*d - 2/5*d**3 - 1/5*d**o + 0 = 0.
-1, 0, 1, 2
Let s(v) be the first derivative of 6*v**5/5 - 7*v**4/2 + 4*v**3/3 - 18. What is q in s(q) = 0?
0, 1/3, 2
Factor -m + 3/2 - 1/2*m**2.
-(m - 1)*(m + 3)/2
Suppose -2*n + 15*s = 14*s - 2, -3*s - 6 = 0. Factor 0*h + 0*h**2 + 1/4*h**5 - 1/4*h**3 + 0*h**4 + n.
h**3*(h - 1)*(h + 1)/4
Let j be (-2 + (-58)/(-24))/((-7)/(-14)). Let 2/3*o**3 + 5/3*o**2 - j*o**5 - 4/3*o**4 + 1/6*o - 1/3 = 0. What is o?
-1, 2/5, 1
Let u(x) = -28*x - 3. Let w be u(-2). Let o = w + -157/3. Factor -2/3*r**5 - 2/3*r - o + 4/3*r**2 - 2/3*r**4 + 4/3*r**3.
-2*(r - 1)**2*(r + 1)**3/3
Suppose -g + 2 + 0 = 0. Solve s**3 + g*s**3 - 2*s**5 + 4*s**4 - s**3 + 0*s**2 - 4*s**2 = 0 for s.
-1, 0, 1, 2
Let q(f) be the first derivative of -f**5/15 + 5*f**4/4 - 7*f**3 + 49*f**2/6 - 43. Suppose q(k) = 0. Calculate k.
0, 1, 7
Let r be -2 - -2*1/2. Let j be 6/3 + r + 1. Solve 4/3*l**j - 1/3*l - 2/3 + l**3 = 0.
-1, 2/3
Let r(c) be the second derivative of -c**4 + 5*c**3/3 + c**2 + 28*c. Factor r(v).
-2*(v - 1)*(6*v + 1)
Let w be (160/(-35) - -4)/(4/(-14)). Let x(g) be the third derivative of -1/4*g**4 + 1/3*g**3 - 1/60*g**6 + 0 - w*g**2 + 0*g + 1/10*g**5. Solve x(p) = 0 for p.
1
Suppose d = -g + 6, -d + 5*g = d - 5. Suppose -2*m + d*q + 15 = -6*m, -3*q - 9 = 5*m. Find t such that 0 + m*t**2 + 0*t - 2/3*t**3 = 0.
0
Let l(t) be the second derivative of 0 + 1/3*t**3 + 1/12*t**4 + 1/2*t**2 + 4*t. Factor l(x).
(x + 1)**2
Let v(f) = f**2 - f + 1. Let d(x) = -18*x**4 + 42*x**3 - 29*x**2 + 5*x + 3. Let j(n) = -d(n) + 3*v(n). Let j(q) = 0. What is q?
0, 2/3, 1
Let n(i) = i**2 + 2*i + 1. Let r be n(-1). Let j(x) be the second derivative of 0*x**2 - 1/50*x**5 + r + 0*x**3 + 0*x**4 + 2*x - 1/75*x**6. Solve j(v) = 0.
-1, 0
Let c(x) be the third derivative of -1/120*x**6 - 3*x**2 + 0*x**5 + 0 + 0*x + 1/24*x**4 + 0*x**3. Suppose c(v) = 0. Calculate v.
-1, 0, 1
Let p be 12746/20340 - 6/27. Let d = p + -1/226. Find y such that 1/5 - 3/5*y + 2/5*y**2 + 1/5*y**5 + d*y**3 - 3/5*y**4 = 0.
-1, 1
Let k = 0 + 12. Let t be ((-8)/k)/(2*-1). Factor 0*m - t*m**2 + 0.
-m**2/3
Let h(s) be the second derivative of s**4/6 + 4*s**3/3 + 4*s**2 + 7*s. Factor h(p).
2*(p + 2)**2
Let k = -3 + 3. Let n(h) be the third derivative of 1/15*h**3 + 0*h - 1/40*h**4 - 1/100*h**5 + k - h**2 - 1/350*h**7 + 7/600*h**6. Find u such that n(u) = 0.
-2/3, 1
Let b = -2/5 + 13/20. Let h be (-5)/12 + 10/(-45)*-3. Factor 1/4*n**3 + h - b*n**2 - 1/4*n.
(n - 1)**2*(n + 1)/4
Let b = -25 - -29. Let k(x) be the third derivative of 0 + 0*x - x**2 - 1/15*x**3 + 0*x**b + 1/150*x**5. Suppose k(y) = 0. Calculate y.
-1, 1
Let f(n) be the third derivative of n**8/84 + 8*n**7/105 + n**6/5 + 4*n**5/15 + n**4/6 + 7*n**2. Factor f(w).
4*w*(w + 1)**4
Let u(q) = -2*q**4 - 4*q**3 + 4*q + 8. Suppose -j = -3*r + j + 5, 0 = 5*j + 20. Let s(d) = 1. Let f(k) = r*u(k) + 6*s(k). Suppose f(b) = 0. Calculate b.
-1, 1
Let d be (-42)/(-9) - (-20)/(-12). Suppose -8*w = -7*w - d. Factor -4/7*c - 8/7*c**w - 2/7*c**4 + 0 - 10/7*c**2.
-2*c*(c + 1)**2*(c + 2)/7
Let a be 422/(-633)*54/(-16)*2. Let -3/2*w - 3/2 + 21*w**3 + 33/2*w**4 + 9*w**2 + a*w**5 = 0. What is w?
-1, 1/3
Determine z so that 4/9*z**3 - 2/9*z**5 - 2/9*z + 0*z**2 + 0 + 0*z**4 = 0.
-1, 0, 1
Let m(f) = -7*f**3 + 7*f**2 + 23*f + 9. Let t(w) = -20*w**3 + 20*w**2 + 68*w + 28. Let x(z) = 8*m(z) - 3*t(z). What is v in x(v) = 0?
-1, 3
Let i(j) = j**3 + j**2 - 2*j + 2. Let l be i(0). Let g(d) be the second derivative of d**2 - l*d + 0 + 0*d**3 - 1/6*d**4. Suppose g(a) = 0. What is a?
-1, 1
Let j(v) = 3*v**2 - 12*v + 17. Let x(g) = 2*g**2 - 8*g + 11. Let i(u) = -5*j(u) + 8*x(u). Suppose i(w) = 0. Calculate w.
1, 3
Let v(d) = 9*d**5 - 9*d**4 - 9*d**3 + 2*d**2 - 7. Let o(t) = 5*t**5 - 5*t**4 - 5*t**3 + t**2 - 4. Let j(r) = -7*o(r) + 4*v(r). Determine f, given that j(f) = 0.
-1, 0, 1
Factor -30*n**3 + 1 + 2*n**2 - 1 + 24*n - 8.
-2*(n + 1)*(3*n - 2)*(5*n - 2)
Let f(x) be the second derivative of -8*x**4/3 - 4*x**3/3 - x**2/4 - 25*x. Factor f(g).
-(8*g + 1)**2/2
Let g(v) be the first derivative of -2*v**3/27 - v**2/3 - 11. Suppose g(x) = 0. Calculate x.
-3, 0
Suppose g = -3*q + 6 - 3, 1 = 4*g + q. Find z such that 4*z**2 + 3 - 5 + g*z + 0*z**3 - 3*z**3 + z = 0.
-2/3, 1
Let t be (-2)/(1 + 3/(-2)). Let b be 28/(-6) + t + 3. Find z such that -z**3 + 2/3 + b*z + 2/3*z**2 = 0.
-1, -1/3, 2
Let m(d) be the first derivative of 0*d**2 + 1/4*d**4 + 0*d**3 - 1/5*d**5 - 5 + 0*d. Factor m(j).
-j**3*(j - 1)
Suppose 2*s = -148 + 52. Let z be s/(-26) + 16/104. Factor -1/2*v - 1/2*v**z + 0.
-v*(v + 1)/2
Let w(m) be the first derivative of -m**4/30 + 2*m**3/15 - m**2/5 + 4*m - 1. Let y(g) be the first derivative of w(g). Factor y(b).
-2*(b - 1)**2/5
Let m(b) = -b + 1. Let u(c) = -12*c**2 + 62*c - 34. Let i(y) = -6*m(y) + u(y). What is q in i(q) = 0?
2/3, 5
Determine n so that 0 + 4/3*n**4 + 1/3*n**3 + 0*n + 0*n**2 = 0.
-1/4, 0
Let a(t) be the first derivative of 6 - 8/3*t - 4/3*t**2 - 2/9*t**3. Factor a(g).
-2*(g + 2)**2/3
Let n be (120/(-98))/(12/(-42)). Factor n*d**2 + 4/7 + 22/7*d.
2*(3*d + 1)*(5*d + 2)/7
Let a(k) be the first derivative of 3*k**5/20 + k**4 + 5*k**3/2 + 3*k**2 - 2*k - 1. Let q(f) be the first derivative of a(f). Factor q(p).
3*(p + 1)**2*(p + 2)
Suppose -3*r**2 - 1 + 5*r**2 + 2 - 3*r**2 = 0. Calculate r.
-1, 1
Let w(a) be the third derivative of -a**6/120 - a**5/60 + 6*a**2. Let w(y) = 0. Calculate y.
-1, 0
Let q(p) be the first derivative of 2*p**3/51 + 2*p**2/17 - 6*p/17 + 2. Factor q(i).
2*(i - 1)*(i + 3)/17
Suppose f + 4*f = 10. Determine d so that 4 + f*d**3 - 3*d**2 + d**3 - 2*d**3 = 0.
-1, 2
Suppose 0 = -5*q - 5, 5*y - 7*y + 1 = -q. Solve y - 6/5*v - 2/5*v**2 = 0.
-3, 0
Let b(i) be the third derivative of 0*i**3 + i**2 - 1/30*i**5 + 0 + 1/18*i**4 + 1/180*i**6 + 0*i. Factor b(n).
2*n*(n - 2)*(n - 1)/3
Solve 0*d + 7/5*d**5 - 7/5*d**3 - 2/5*d**4 + 0 + 2/5*d**2 = 0 for d.
-1, 0, 2/7, 1
Factor 8/9*r - 2/3 - 2/9*r**2.
-2*(r - 3)*(r - 1)/9
Let z = 3