25/33 - 29/3. Factor -g*h**3 + 6/11*h**2 + 2/11 - 6/11*h.
-2*(h - 1)**3/11
Suppose -1/4*h**3 - 2*h + 1 + 5/4*h**2 = 0. What is h?
1, 2
Suppose 10 = y + 4*y. Factor -p + p**2 + p**4 - p**2 - p - p**2 + y*p**3.
p*(p - 1)*(p + 1)*(p + 2)
Let m(s) = 18*s**3 - 165*s**2 + 358*s - 80. Let r(l) = -215*l**3 + 1980*l**2 - 4295*l + 960. Let w(k) = 25*m(k) + 2*r(k). Factor w(q).
5*(q - 4)**2*(4*q - 1)
Let k(d) = -14*d**3 - 31*d**2 + 29*d + 16. Let i(l) = 43*l**3 + 92*l**2 - 88*l - 47. Let o(t) = 6*i(t) + 17*k(t). Factor o(j).
5*(j - 1)*(j + 2)*(4*j + 1)
Suppose 5*j = d - 3*d + 28, 0 = 5*j - d - 16. Find b such that 0*b - 1/5*b**j - 1/5*b**3 + 1/5*b**5 + 0 + 1/5*b**2 = 0.
-1, 0, 1
Let 15*d**2 - 12 + 6*d - 15/2*d**3 + 3/2*d**5 - 3*d**4 = 0. Calculate d.
-2, -1, 1, 2
Let n(j) be the third derivative of -j**6/900 + j**5/75 - j**4/15 - j**3/3 - 4*j**2. Let f(p) be the first derivative of n(p). Factor f(s).
-2*(s - 2)**2/5
Let d be (3/(-5))/(798/(-380)). Factor -d*v**4 + 4/7 + 2/7*v**3 - 10/7*v + 6/7*v**2.
-2*(v - 1)**3*(v + 2)/7
Suppose k - 6 = x, -6*x + 3*x = 6. Determine l so that 45*l**2 + k*l**3 - 2*l**4 - 45*l**2 = 0.
0, 2
Suppose 15*w - 537 + 477 = 0. Factor 2/5*p**5 - 4/5*p**3 - 2/5*p**w + 2/5*p + 4/5*p**2 - 2/5.
2*(p - 1)**3*(p + 1)**2/5
Suppose 2*w - 5*l = 34 - 10, -10 = 3*w + 4*l. Suppose 0 - 4*r**2 - 2 - 2*r**2 + 3*r + 5*r**w = 0. Calculate r.
1, 2
Solve 18/7*h**2 - 8/7*h**3 + 0 - 4/7*h = 0 for h.
0, 1/4, 2
Let 20*y**2 - 14*y - 14*y - 4 + 12*y = 0. What is y?
-1/5, 1
Let v(t) = t**3 - 11*t**2 + 8*t + 22. Let g be v(10). Let j be 6*(1 + 0)/2. Find b, given that 6*b**g + b + 0*b - 6*b**j - 2*b - b + 2*b**4 = 0.
0, 1
Let u be (20/(-8))/(-5)*4. Let 2*y**3 - y**3 + 3*y**3 - y**2 + u*y - 5*y**3 = 0. Calculate y.
-2, 0, 1
Let r(t) be the second derivative of -t**4/24 + 5*t**3/6 - 25*t**2/4 - 18*t. Factor r(s).
-(s - 5)**2/2
Let b(u) be the third derivative of -u**7/1575 - u**6/75 - 3*u**5/25 - 3*u**4/5 - 9*u**3/5 - u**2. Let b(r) = 0. What is r?
-3
Let n be 1/(-2) - (-34)/4. Let l be (-5)/(10/6) - (-1 + -5). Determine i, given that 8*i**3 + 6 + 3 + 12*i**2 + 2*i**4 - 4 - l + n*i = 0.
-1
Let s = 223/2 + -111. Factor -s*b**2 + 0*b + 1/2.
-(b - 1)*(b + 1)/2
Suppose 0 + 0*o**2 + 3/7*o**4 + 2/7*o**3 + 0*o = 0. What is o?
-2/3, 0
Let o(q) = -4*q**3 - 5*q**2 + 2*q + 2. Let j(n) = 3*n**3 + 4*n**2 - n - 2. Suppose 0 = 3*c - 14 + 2. Let g(v) = c*o(v) + 5*j(v). Factor g(m).
-(m - 1)**2*(m + 2)
Let o(x) be the third derivative of -x**8/40320 - x**7/5040 + x**5/15 - 3*x**2. Let i(b) be the third derivative of o(b). Factor i(s).
-s*(s + 2)/2
Let i(g) be the third derivative of g**7/6300 - g**6/900 + g**4/12 + 2*g**2. Let z(b) be the second derivative of i(b). Factor z(t).
2*t*(t - 2)/5
Let k(w) = -w**2 - 11*w - 18. Let t be k(-9). Let b(g) be the first derivative of 0*g + t*g**3 - 1 + 2/35*g**5 - 1/14*g**4 + 0*g**2. Factor b(q).
2*q**3*(q - 1)/7
Let r = -81 - -81. Factor 18/5*n**3 + 0 + r*n - 4/5*n**2.
2*n**2*(9*n - 2)/5
Let c(q) be the second derivative of -q**6/165 - q**5/110 + q**4/22 + 5*q**3/33 + 2*q**2/11 - 22*q - 2. Find x such that c(x) = 0.
-1, 2
Let p(w) = -3*w**3 - w**2 - 2*w + 2. Let r be 1/6 - (-75)/(-18). Let g = 3 + r. Let u(f) = -f**4 - f**2 - f + 1. Let o(m) = g*p(m) + 2*u(m). Factor o(a).
-a**2*(a - 1)*(2*a - 1)
Let t(k) = -5 - 7*k**3 + 0*k**3 + 5*k**2 + 2*k**4 + 0*k**2. Let a(g) = 3*g**4 - 11*g**3 + 8*g**2 - 8. Let x(s) = -5*a(s) + 8*t(s). Factor x(u).
u**3*(u - 1)
Suppose 0 = -3*l - 2*m + 4, -m + 3 = -5*l + 14. Let f(t) = -t**3 + t**2 + t - 1. Let z(a) = a**2 - 2*a + 1. Let r(s) = l*f(s) - 2*z(s). Let r(p) = 0. What is p?
-2, 1
Let a = 13 - 13. Find x such that -2*x + 2*x**2 + a*x + 0 - 4 = 0.
-1, 2
Let s = -5 - -9. Solve -8*v**2 + 4*v**s - 8*v**5 + v**5 + 11*v**5 + 4 + 4*v - 8*v**3 = 0.
-1, 1
Let h = 2/7 + 1/21. Let z = -4/53 + 224/159. Factor z*a + 4/3 + h*a**2.
(a + 2)**2/3
Let y(r) be the first derivative of -1/12*r**4 + 9 + 0*r**3 + 1/2*r**2 + 2/3*r. Factor y(u).
-(u - 2)*(u + 1)**2/3
Let g = 10 - 8. Suppose -g = 2*z - 8. Suppose 1 - 1 + c**3 + 6*c**2 - z*c**3 - 6*c + 2 = 0. What is c?
1
Suppose 0 = 6*f - 5*f - 2. Let g be (f + (1 - 1))/6. Factor g*x**2 + 0*x**3 - 1/3*x**4 + 0*x + 0.
-x**2*(x - 1)*(x + 1)/3
Let t = 35 + -20. Let r be (2/20)/(6/t). Determine v, given that 0 + 1/4*v**3 - 1/4*v**4 + 1/4*v**2 - r*v = 0.
-1, 0, 1
Suppose -3*d = -2 - 10. Solve -n**3 + 0*n**d - n**4 + n**3 + 2*n**2 - 1 = 0 for n.
-1, 1
Solve -48/7*t**4 + 18/7*t**3 + 0*t + 0 + 32/7*t**5 - 2/7*t**2 = 0.
0, 1/4, 1
Let o(x) be the second derivative of -x**4/10 + 7*x**3/10 - 9*x**2/10 - 3*x. Determine n so that o(n) = 0.
1/2, 3
Suppose 0 = -s + 6 - 1. What is f in -f - f**5 + 2*f**2 - s - 6*f**3 + 5 - 4*f**4 - 6*f**2 = 0?
-1, 0
Let k(f) = -f**3 - 8*f**2 + 10*f + 11. Let o be k(-9). Factor a**2 + 0*a**2 + 4*a - 4*a - o*a.
a*(a - 2)
Let t(b) = -b**3 + b**2 - 2*b + 2. Let o be t(0). Factor 8/7*c - 8/7*c**o + 2/7*c**3 + 0.
2*c*(c - 2)**2/7
Let i = 21547/54 - 399. Let s(t) be the second derivative of 0*t**3 + 0*t**2 - t - i*t**4 + 0 + 1/90*t**5. Factor s(m).
2*m**2*(m - 1)/9
Let g(i) be the second derivative of -i**8/6720 + i**7/1680 - i**5/240 + i**4/96 - 2*i**3/3 + 4*i. Let b(w) be the second derivative of g(w). Solve b(k) = 0.
-1, 1
Let j be ((-4)/24*1)/(195/(-6)). Let f(z) be the second derivative of 0 - 2/13*z**2 + j*z**6 - z - 5/39*z**3 + 1/130*z**5 - 1/26*z**4. Factor f(h).
2*(h - 2)*(h + 1)**3/13
What is s in 0*s**3 + 0*s + 0*s**4 + 0*s**2 - 2/11*s**5 + 0 = 0?
0
Let c(k) be the first derivative of 10*k**6/3 + 68*k**5/5 + 16*k**4 + 16*k**3/3 + 18. Find u such that c(u) = 0.
-2, -1, -2/5, 0
Suppose 66 = 52*j - 90. Factor 0*s**j + 1/4*s - 1/2*s**2 + 1/2*s**4 - 1/4*s**5 + 0.
-s*(s - 1)**3*(s + 1)/4
Let n(u) = 7 - 19*u**2 + 5*u**2 + 25*u**2 + 18*u. Let r be (-25)/10*(-4)/(-2). Let m(x) = -39*x**2 - 63*x - 24. Let o(s) = r*m(s) - 18*n(s). Factor o(f).
-3*(f + 1)*(f + 2)
Solve 0*h**3 + 6 - 2*h**3 + 36*h - 10*h**3 - 22 + 40*h**2 = 0 for h.
-1, 1/3, 4
Let i be ((-10)/(-54))/(24/144). Let 4/9*l**2 + i*l**3 + 0 + 0*l = 0. Calculate l.
-2/5, 0
Let m(s) be the third derivative of s**8/112 + s**7/70 - 3*s**6/40 - s**5/20 + s**4/4 - 6*s**2. Solve m(i) = 0 for i.
-2, -1, 0, 1
Let d(b) = -2*b**4 - 6*b**3 + 2*b**2 + 10*b - 4. Let q(f) = 3*f**4 + 6*f**3 - 2*f**2 - 11*f + 4. Let l(a) = -5*d(a) - 4*q(a). Factor l(o).
-2*(o - 2)*(o - 1)**2*(o + 1)
Let h(z) = -65*z - 7*z**2 - 60 - 9 - 1 - 13*z**2. Let b(a) = 7*a**2 + 22*a + 23. Let k(c) = -11*b(c) - 4*h(c). Factor k(s).
3*(s + 3)**2
Let b be 3/2*(-40)/(-66). Let i = 16/55 + b. What is q in -8/5*q**3 - 8/5*q**4 - 2/5 + i*q**2 + 4/5*q = 0?
-1, 1/2
Let l(g) be the third derivative of 0 + 1/12*g**3 - 4*g**2 + 0*g - 1/120*g**5 - 1/120*g**6 + 1/24*g**4. Let l(p) = 0. What is p?
-1, -1/2, 1
Let y(b) = -3*b**3 + 9*b + 9. Let i(l) = -l - 1. Let j(k) = -k**3 + 3*k + 3. Let o(f) = i(f) + j(f). Let v(x) = 9*o(x) - 2*y(x). Factor v(c).
-3*c**3
Let r(p) = 4*p**4 + 3*p**3 - 6*p**2 + p. Let s(c) = 9*c**4 + 7*c**3 - 13*c**2 + 3*c. Let n(l) = -7*r(l) + 3*s(l). Let n(o) = 0. What is o?
-1, 0, 2
Let q(v) = -6*v - 1 + 0*v - 3 - v**2. Let j be q(-4). Solve a**3 + 4*a - 4*a**j + 3*a**2 + 1 - 6*a**3 + 0*a**2 + a**3 = 0.
-1, -1/2, 1
Let n(b) = 4*b**2 - 6*b - 2. Let x(t) = -5*t**2 + 7*t + 3. Let a = -9 - -6. Let h(p) = p + 2. Let r be h(-4). Let w(k) = a*n(k) + r*x(k). Solve w(q) = 0 for q.
0, 2
Let v(i) be the first derivative of -i**7/1365 - i**6/156 - 4*i**5/195 - i**4/39 - 9*i**2/2 - 1. Let l(j) be the second derivative of v(j). Factor l(z).
-2*z*(z + 1)*(z + 2)**2/13
Let f = -9 + 5. Let t(n) = -3*n**2 + 6*n + 9. Let d(a) = 5 - 2*a - 4*a - 13 + 2*a**2. Let y(q) = f*t(q) - 5*d(q). Factor y(k).
2*(k + 1)*(k + 2)
Let v be (-4)/(-10) + (-4)/10. Let v*c - 256/5*c**4 + 0*c**3 + 32/5*c**2 - 1/5 = 0. Calculate c.
-1/4, 1/4
Let d be 6/15 + 0/(-4)*-1. Factor d*a - a**4 + 12/5*a**3 - 9/5*a**2 + 0.
-a*(a - 1)**2*(5*a - 2)/5
Let i(c) = -4*c**3 - 7*c**2 - 6*c + 7. Let b(p) = 2*p**3 + 3*p**2 + 4*p - 3. Let w(v) = -5*b(v) - 3*i(v). Find l, given that w(l) = 0.
-3, -1, 1
Let a = -5091/52 + 1302/13. Let k be 1 - 2/(-8) - 1. Let -11/4*v**3 + v**4 + a*v**2 - 1/4 - k*v = 0. What is v?
-1/4, 1
Let t(o) be the second derivative of o**4/6 + o**3/3 + 3*o**2 - 2*o. Let c(v) = 0*v - 9*v