ctor 2 - 19/3*w - f*w**2.
-(w + 3)*(7*w - 2)/3
Let x = 106 - 205/2. What is a in a**3 + 0 + 0*a + 0*a**2 + x*a**4 = 0?
-2/7, 0
Let h(i) be the second derivative of -i**8/7560 + i**6/1620 - i**3/2 + 2*i. Let u(w) be the second derivative of h(w). Factor u(k).
-2*k**2*(k - 1)*(k + 1)/9
Let v(n) be the first derivative of -3/2*n**2 + 0*n + 3/4*n**4 + 0*n**3 - 3. Determine m, given that v(m) = 0.
-1, 0, 1
Let g be (-9)/6*(9 + -1). Let l be (-14)/g*(-9)/(-14). Factor -1/4*i**2 - 1/2 - l*i.
-(i + 1)*(i + 2)/4
Let t = -12 + 8. Let p = 1 - t. Suppose 2*r**5 - r + 2*r**2 - 2*r**4 + r**2 - r**p - r**2 = 0. What is r?
-1, 0, 1
Let s be (-44)/33*9/(-1). Solve 8*l**4 - 2 - s*l**3 + 2*l + 2*l + 2 = 0.
-1/2, 0, 1
Suppose l + 15 = 4*l. Determine t so that -t**2 + t - 13*t**2 - 4*t**2 - 10*t**3 + 14*t**5 + 18*t**4 - l*t = 0.
-1, -2/7, 0, 1
Let n(d) be the third derivative of 0*d - 1/150*d**5 + 1/525*d**7 + 0*d**6 + 4*d**2 - 1/1680*d**8 + 0 + 1/120*d**4 + 0*d**3. Suppose n(s) = 0. What is s?
-1, 0, 1
Let u be 4/(2772/141) - 2/14. Let o(t) be the second derivative of 0 + u*t**3 - 1/66*t**4 - 1/11*t**2 + 3*t. Factor o(k).
-2*(k - 1)**2/11
Let d(b) be the third derivative of -b**10/37800 + b**8/5040 + b**5/30 - 3*b**2. Let y(l) be the third derivative of d(l). Let y(h) = 0. Calculate h.
-1, 0, 1
Suppose -2 - 7 = -3*k. Let r = 8 - k. Solve -2*b**4 + 3*b**4 + b**r + 0*b**4 = 0 for b.
-1, 0
Suppose 2*n + 38 = 118. Let b be n/(-10) - 26/(-6). Factor 2/3*d**3 + 0 - b*d**4 + 0*d - 1/3*d**2.
-d**2*(d - 1)**2/3
Let t(q) be the third derivative of -q**8/168 - q**7/105 + q**6/30 + q**5/15 - q**4/12 - q**3/3 - 2*q**2. Suppose t(i) = 0. Calculate i.
-1, 1
Let d(l) = -8*l**3 + 10*l**2 - 16*l + 9. Let i(y) = 15*y**3 - 21*y**2 + 33*y - 18. Let n(p) = -9*d(p) - 5*i(p). Factor n(j).
-3*(j - 3)*(j - 1)**2
Let f(r) = -r - 1 + 3*r + 0*r - r. Let y be f(3). Suppose 0 - 2/3*v**y + 1/3*v**5 + 0*v**3 - 1/3*v + 2/3*v**4 = 0. Calculate v.
-1, 0, 1
Suppose 0*g**2 - g**2 + 3*g**2 - 30*g - 32 = 0. What is g?
-1, 16
Let x(n) be the third derivative of n**7/42 - 5*n**6/24 + 7*n**5/12 - 5*n**4/8 + n**2 + 5. Let x(l) = 0. Calculate l.
0, 1, 3
Let z(l) = 6*l**2 - 10*l + 2. Let t(r) = -7*r**2 + 11*r - 1. Let u(i) = 2*t(i) + 3*z(i). Find d such that u(d) = 0.
1
Let s(a) be the second derivative of -2*a**7/7 + a**6/2 - 3*a**5/20 + 3*a. Solve s(t) = 0.
0, 1/4, 1
Let g be 1/(2 - (-9)/(-6)). What is o in -6*o**g - o**3 + o**5 + 0*o**3 + 5*o**2 + o**4 = 0?
-1, 0, 1
Let q = 13 + -11. Let z(h) be the first derivative of 0*h + 1 + 0*h**q - 2/15*h**3. Find n, given that z(n) = 0.
0
Let n(u) be the first derivative of u**5/60 + u**4/12 - 2*u**2/3 + 2*u - 9. Let o(a) be the first derivative of n(a). Suppose o(f) = 0. Calculate f.
-2, 1
Let w(p) be the third derivative of -1/3*p**4 + 0*p - 1/6*p**5 + 1/3*p**3 + 0 - 2*p**2. Factor w(x).
-2*(x + 1)*(5*x - 1)
Let x(j) = 16*j**2 - 43*j + 12. Let l(w) = 15*w**2 - 42*w + 12. Suppose -v - 2*q - 3 = 0, -2*v - 2*q = -6*q + 14. Let s(t) = v*l(t) + 6*x(t). Factor s(g).
3*(g - 2)*(7*g - 2)
Let g(x) be the first derivative of x**5/45 - x**4/9 - 5*x**3/27 - 67. Factor g(a).
a**2*(a - 5)*(a + 1)/9
Let v(s) be the first derivative of s**9/6048 - s**7/1680 + 2*s**3/3 - 2. Let o(t) be the third derivative of v(t). What is y in o(y) = 0?
-1, 0, 1
Suppose 4*w - w = 12. Let l(n) = -n**2 - 3*n + 2. Let h(c) = 2*c**2 + 2*c - 9 + 7 - c**2. Let z(m) = w*h(m) + 3*l(m). Factor z(f).
(f - 2)*(f + 1)
Let l(w) be the third derivative of -w**8/504 - w**7/105 - w**6/60 - w**5/90 + 2*w**2. Factor l(y).
-2*y**2*(y + 1)**3/3
Factor 0 + 5*r**2 - 1 + 0 - 19.
5*(r - 2)*(r + 2)
Let w(x) be the second derivative of -x**5/10 - x**4/6 + x**3/3 + x**2 + 3*x. Factor w(i).
-2*(i - 1)*(i + 1)**2
Let y = 1 - 3/4. Let h(b) be the first derivative of -1/4*b + 3 - y*b**2 - 1/12*b**3. Solve h(t) = 0 for t.
-1
Suppose -37 = -4*s + 3*q, -s - 3*q + 0*q + 13 = 0. Let i be s*(6/(-4))/(-3). Factor 8*p**3 - 3*p**4 + i*p**4 - 2*p**3 - 8*p.
2*p*(p - 1)*(p + 2)**2
Let z be 1*3/3*7. Let p(q) = -q**2 + 8*q - 5. Let t be p(z). Factor 2/7*s + 2/7*s**t + 0.
2*s*(s + 1)/7
Factor 20/3*c - 32/3*c**2 - 4/3 + 16/3*c**3.
4*(c - 1)*(2*c - 1)**2/3
Let j(k) = -3*k**5 + 7*k**4 - 11*k**3 + k**2 - 2. Let b(a) = -a**4 - a**3 - a**2 - 1. Let t(m) = 2*b(m) - j(m). Solve t(f) = 0.
0, 1
Let g(p) be the first derivative of -p**3/6 + p**2/4 - 7. Factor g(s).
-s*(s - 1)/2
Let x(m) = 2 - 3*m**2 + 2*m**2 - 10 + 7*m. Let z be x(5). Factor -1/4*v**z + 1/4 + 0*v.
-(v - 1)*(v + 1)/4
Determine t, given that -10/7*t**2 - 2/7 - 4/7*t**3 - 8/7*t = 0.
-1, -1/2
Suppose -10*h + 23 - 3 = 0. Find v, given that 0 - 4/3*v**3 + 4/3*v - 10/3*v**h + 10/3*v**4 = 0.
-1, 0, 2/5, 1
Suppose 0*a = 4*a + 20, 2*q - 2*a - 16 = 0. Let g be 2/q + 8/6. What is h in -3*h**2 + 3*h**2 - 2*h**g = 0?
0
Suppose 5*n = 8 + 2. Let r(q) be the second derivative of -1/12*q**4 + 1/2*q**n + 1/20*q**5 + q - 1/6*q**3 + 0. Factor r(u).
(u - 1)**2*(u + 1)
Let w(m) be the second derivative of -m**8/1680 + m**6/45 - 2*m**4/3 + m**3 + 3*m. Let s(f) be the second derivative of w(f). Factor s(i).
-(i - 2)**2*(i + 2)**2
Let o = 342 - 1704/5. Solve -2*a**2 + 8/5*a**5 - 2/5*a + 0 + 2*a**4 - o*a**3 = 0 for a.
-1, -1/4, 0, 1
Solve -3*y**2 - 2*y**2 + 18*y - 3*y**2 - 4 - 6*y**2 = 0 for y.
2/7, 1
Let f be ((-4)/(-3))/(10/15). What is b in 3*b**3 + 11*b**2 - 11*b**f + b**3 = 0?
0
Let z(s) be the second derivative of 49*s**6/15 - 14*s**5/5 - 15*s**4/2 + 28*s**3/3 - 4*s**2 - 6*s. Suppose z(l) = 0. What is l?
-1, 2/7, 1
Let d(h) be the third derivative of 3*h**6/40 - 17*h**5/20 + 11*h**4/4 - 4*h**3 + 17*h**2. Factor d(v).
3*(v - 4)*(v - 1)*(3*v - 2)
Let x(f) be the second derivative of -f**6/135 - f**5/90 - 32*f. Determine r so that x(r) = 0.
-1, 0
Let j(m) be the second derivative of -m**5/80 + 9*m**4/16 - 65*m**3/8 + 169*m**2/8 + 4*m - 1. What is n in j(n) = 0?
1, 13
Let t(z) = 2*z**2 - 2*z - 3. Let n = 16 - 13. Let c(x) = 5*x**2 - 6*x - 8. Let g(v) = n*c(v) - 8*t(v). Let g(b) = 0. Calculate b.
-2, 0
Let q(u) = -8*u - 3 + 4 + 14 + 10*u. Let w be q(-6). Factor 6/13*i + 2/13*i**w + 2/13 + 6/13*i**2.
2*(i + 1)**3/13
Let h(b) = b**2 + b - 1. Let f(w) = -20*w**2 + 35. Let m(u) = -f(u) + 15*h(u). Factor m(o).
5*(o - 1)*(7*o + 10)
Let r(t) be the third derivative of -1/245*t**7 + 1/70*t**5 - 1/294*t**8 - 1/84*t**4 + 0*t**3 + 0 - t**2 + 1/84*t**6 + 0*t. Suppose r(a) = 0. Calculate a.
-1, 0, 1/4, 1
Let v(c) be the third derivative of -c**5/30 + c**4/18 + c**3/9 - 8*c**2. Find g such that v(g) = 0.
-1/3, 1
Let v(g) = -12*g**5 - 12*g**4 + 9*g**3 + 9*g**2 - 3*g + 3. Let x(s) = -12*s**5 - 12*s**4 + 9*s**3 + 10*s**2 - 3*s + 4. Let z(i) = -4*v(i) + 3*x(i). Factor z(r).
3*r*(r + 1)**2*(2*r - 1)**2
Let i be (1/5)/((-2)/(-25)*1). Factor 0 + r**2 - i*r**3 + 0*r.
-r**2*(5*r - 2)/2
Find v, given that -2/3 + 2*v - 1/6*v**4 + v**3 - 13/6*v**2 = 0.
1, 2
Suppose -2*w + 0 = -4*i + 24, -3*i - 5*w - 8 = 0. Factor 0*m + 1/2*m**i + 0 - 1/2*m**3 + 0*m**2.
m**3*(m - 1)/2
Let t(n) be the first derivative of 1/8*n**2 + 1/12*n**3 + 3 - 1/2*n. Factor t(a).
(a - 1)*(a + 2)/4
Let j(p) be the third derivative of -p**8/112 + 3*p**7/70 - 3*p**6/40 + p**5/20 - 2*p**2. Find i such that j(i) = 0.
0, 1
Let t(b) be the third derivative of 1/12*b**4 - 8*b**2 + 1/300*b**6 + 0*b + 2/15*b**3 + 0 + 2/75*b**5. Factor t(n).
2*(n + 1)**2*(n + 2)/5
Let z(w) be the third derivative of 1/63*w**7 + 1/180*w**6 + 0 + 0*w**3 - 1/168*w**8 - 1/18*w**5 + 0*w - 3*w**2 + 1/18*w**4. Determine p, given that z(p) = 0.
-1, 0, 2/3, 1
Let y(o) be the first derivative of -1/3*o**3 + 0*o - 1/540*o**6 + 0*o**2 - 1/36*o**4 - 2 + 1/90*o**5. Let w(u) be the third derivative of y(u). Factor w(j).
-2*(j - 1)**2/3
Let r(h) be the second derivative of -2*h - 1/15*h**6 + 0*h**4 + 0*h**3 + 0*h**2 + 1/10*h**5 + 0. Determine c so that r(c) = 0.
0, 1
Let n = -2/33 - -13/33. Let c = 37 + -35. Factor n*q**c + 1/3*q**4 + 0 + 2/3*q**3 + 0*q.
q**2*(q + 1)**2/3
Suppose -2/3*i**2 + 0 + 2/3*i**4 - 2/3*i**3 + 2/3*i = 0. What is i?
-1, 0, 1
Let c(q) be the second derivative of q**6/5 + 3*q**5/4 - 3*q**4/4 - 4*q**3 + 6*q**2 - 57*q. Factor c(y).
3*(y - 1)*(y + 2)**2*(2*y - 1)
Let j(f) = -f**2 - 3*f + 4. Let d(t) = -t + 1. Let z(i) = -10*d(i) + 2*j(i). Factor z(w).
-2*(w - 1)**2
Let f(s) = s**3 + 10*s