 h**4/8 + 7*h**2 + 10. Factor w(o).
o*(o - 1)*(o + 6)/2
Factor 23*l**3 - 190*l**2 + 2*l**3 - 24*l - 20*l - 36*l.
5*l*(l - 8)*(5*l + 2)
Let n be (((-120)/22)/(-4))/(102/(-272)) + 4. Solve -2*w - 30/11*w**3 + n - 56/11*w**2 = 0 for w.
-1, 2/15
Let a(k) = -k - 1. Let z(o) = 2*o**2 - 3*o + 1. Suppose -3*b = -6*b - 3. Let x(f) = b*a(f) - z(f). Suppose x(g) = 0. Calculate g.
0, 2
Let u = 2/1755 - -1751/3510. Factor 0 + 1/2*y**2 - 1/2*y**3 + u*y - 1/2*y**4.
-y*(y - 1)*(y + 1)**2/2
Let n(h) be the first derivative of -h**6/3 + 4*h**5/5 - 4*h**3/3 + h**2 + 20. Find m such that n(m) = 0.
-1, 0, 1
Let q(s) = s**3 - s**2 - s + 1. Let t(y) = 6*y**3 - 99*y**2 - 41*y + 1. Let d(p) = q(p) - t(p). Factor d(u).
-u*(u - 20)*(5*u + 2)
Factor -235*k**3 + 2*k**5 - 7*k**5 + 78*k**4 + 63*k**2 + 47*k**4 + 52*k**2.
-5*k**2*(k - 23)*(k - 1)**2
Suppose 4*j - m = -171, 0 = -2*j + 3*m + 2*m - 99. Let v be (3/(-2))/(j/56). Determine t, given that 6*t**2 - v*t + 11*t**2 - 19*t**2 = 0.
-1, 0
Let u(c) = -11*c**2 + 62*c. Let x(l) = -25*l**2 + 125*l. Let v(g) = -5*u(g) + 2*x(g). Factor v(n).
5*n*(n - 12)
Let k(m) be the first derivative of 0*m**3 + 1/5*m**5 + 0*m**2 + 1/12*m**4 + 0*m + 4. Factor k(d).
d**3*(3*d + 1)/3
Let w(d) be the second derivative of 1/24*d**3 - 1/8*d**4 - 1/30*d**6 + 0*d**2 + 11*d + 9/80*d**5 + 0. Factor w(s).
-s*(s - 1)**2*(4*s - 1)/4
Let s(u) = -2*u**3 + 17*u - 18 - 24*u**2 + 3*u + 4*u**3. Let d(r) = -r**2 - 2*r + r + 0*r**2. Let i(v) = -10*d(v) + s(v). Factor i(n).
2*(n - 3)**2*(n - 1)
Suppose -5*f - 3*q = q - 593, 5*q - 244 = -2*f. Let o = f + -64. Factor 3*s**2 - 3 + 0*s - o*s**3 + 65*s**3 - 12*s.
3*(s - 1)*(s + 1)*(4*s + 1)
Factor 0 - 124/5*a**2 + 1922/5*a + 2/5*a**3.
2*a*(a - 31)**2/5
Factor -1/2*z - 5/3 + 1/6*z**2.
(z - 5)*(z + 2)/6
Suppose 1 + 23 = 8*g. Let a(o) be the second derivative of -o**2 - 4*o + 0 - 1/6*o**g + 1/12*o**4. Factor a(p).
(p - 2)*(p + 1)
Let t(u) be the third derivative of -1/60*u**6 - 2*u**3 + 2/15*u**5 - 1/12*u**4 + 0*u + 0 + 38*u**2. Factor t(d).
-2*(d - 3)*(d - 2)*(d + 1)
What is g in 1/4*g**5 + 0*g**2 - 5/4*g**4 + 0 + 0*g + 3/2*g**3 = 0?
0, 2, 3
Let m(l) be the third derivative of 0 - 7/360*l**6 + 11/45*l**5 + 0*l - 21*l**2 + l**3 - 25/24*l**4. Solve m(i) = 0 for i.
2/7, 3
Factor 0 - 6/5*q**2 - 4/5*q - 2/5*q**3.
-2*q*(q + 1)*(q + 2)/5
What is p in -10/17*p**2 + 48/17*p + 10/17 = 0?
-1/5, 5
Let u = 216 - 211. Let g(p) be the second derivative of u*p + 0*p**2 + 1/24*p**4 + 0*p**3 + 0. What is s in g(s) = 0?
0
Factor -3/2*z + 0 - 1/2*z**2.
-z*(z + 3)/2
Factor 2*u**4 + 2*u**5 - 10*u - 13*u**3 + 9*u**3 + 10*u.
2*u**3*(u - 1)*(u + 2)
Let r(d) be the second derivative of d**5/5 - 2*d**4 + 2*d**3 + 20*d**2 + 408*d. Suppose r(b) = 0. Calculate b.
-1, 2, 5
Let w = -1175 + 1175. Let q(p) be the first derivative of -8 + 2/9*p**3 + w*p + 1/3*p**2. Solve q(m) = 0.
-1, 0
Let b(f) be the third derivative of -f**8/1176 + f**7/147 - f**6/140 - f**5/42 + f**4/21 + f**2 - 15*f. Find v such that b(v) = 0.
-1, 0, 1, 4
Let g = -233 - -365. Let l be 7/(-42) - (-310)/g. Suppose 16/11 + 12/11*z**2 - l*z - 2/11*z**3 = 0. What is z?
2
Let x(o) = -8*o**3 - 8*o**2 - 19*o - 63. Let k(d) = 7*d**3 + 8*d**2 + 18*d + 54. Let w(m) = -7*k(m) - 6*x(m). Factor w(s).
-s*(s + 2)*(s + 6)
Let p(m) be the third derivative of -m**8/70560 + m**6/2520 + 7*m**5/30 - 21*m**2. Let u(t) be the third derivative of p(t). Suppose u(w) = 0. What is w?
-1, 1
Determine x, given that 96/5 - 18/5*x**4 + 48/5*x**2 + 144/5*x - 3/5*x**5 - 24/5*x**3 = 0.
-2, 2
Suppose -5*s = 19 - 44. Factor -2*n**4 + 0*n**s + 8*n**5 + 0*n**4 - 6*n**5.
2*n**4*(n - 1)
Let j(k) be the first derivative of k**4/60 - k**3/10 + 14*k + 10. Let p(i) be the first derivative of j(i). Factor p(m).
m*(m - 3)/5
Suppose n + 231 = 4*l - 0*n, 213 = 4*l + 5*n. Let p = 57 - l. Suppose 3/2*r**2 + p*r - 3/2 = 0. Calculate r.
-1, 1
Factor -220 + 5*v**3 + 72*v**2 - 261*v + 241*v - 17*v**2.
5*(v - 2)*(v + 2)*(v + 11)
Let k = -1559 - -37417/24. Let m(y) be the second derivative of -k*y**3 + 0*y**4 + 0 + 0*y**2 + 1/80*y**5 + 11*y. Let m(b) = 0. What is b?
-1, 0, 1
Let q = 1373 + -1373. Factor 36/13*z**3 + q + 2/13*z**5 + 16/13*z - 14/13*z**4 - 40/13*z**2.
2*z*(z - 2)**3*(z - 1)/13
Let t(b) = -5*b**4 + 66*b**3 - 23*b**2 - 38*b - 11. Let f(w) = w**4 - 2*w**3 - w**2 + 2*w + 1. Let x(o) = -22*f(o) - 2*t(o). Find z such that x(z) = 0.
-8, -1/3, 0, 1
Let b be ((-28)/210)/(4/(-5)). Let v(r) be the first derivative of 1/30*r**5 + 0*r - 1/6*r**2 - 3 + 0*r**4 - b*r**3. Solve v(s) = 0.
-1, 0, 2
Let q(k) be the third derivative of -k**6/480 - k**5/8 - 29*k**4/96 - 121*k**2. Factor q(y).
-y*(y + 1)*(y + 29)/4
Suppose 54*s + 9*s = 0. Let m(w) be the second derivative of s*w**4 + 2*w + 0*w**5 - 1/84*w**7 + 0*w**3 + 0*w**2 + 0 + 1/60*w**6. Find h such that m(h) = 0.
0, 1
Determine y so that 12/5*y - 12/5*y**3 - 12/5 + 3/5*y**4 + 9/5*y**2 = 0.
-1, 1, 2
Suppose 3 = -j - 2*i - 3, 4*j + 12 = -5*i. Suppose 0 = 2*m - 3*w, -m = w + 2*w - 9. Let -3*v**m - 32*v + 32*v - 3*v**j = 0. Calculate v.
-1, 0
Let n(k) be the third derivative of 0 + 3/4*k**5 + 1/24*k**6 + 25/8*k**4 - 125/6*k**3 - 16*k**2 + 0*k. Suppose n(t) = 0. What is t?
-5, 1
Let l(x) = 30*x**2 - 15*x + 5. Let s(h) = -h**2 - 1. Let t(k) = l(k) + 25*s(k). Find u such that t(u) = 0.
-1, 4
Let v(l) be the third derivative of -l**6/900 - l**5/100 + l**4/15 + 8*l**3/3 - 4*l**2. Let s(q) be the first derivative of v(q). Determine y so that s(y) = 0.
-4, 1
Let j be ((-7)/14)/(2/48). Let a = 14 + j. Suppose 4*r**a - 3*r - 3*r - 2*r = 0. Calculate r.
0, 2
Let j be -6 - (-1230)/(-150)*(-5)/6. Solve -2/3 - j*w**2 + 2*w = 0.
2/5, 2
Let p = -149/1155 - -51/77. Factor 4/15 - 6/5*u + p*u**2.
2*(u - 2)*(4*u - 1)/15
Let l(t) be the first derivative of -t**5/15 + t**4 + 59*t**3/9 + 13*t**2 + 32*t/3 + 362. Factor l(j).
-(j - 16)*(j + 1)**2*(j + 2)/3
Let o(a) be the third derivative of -7*a**6/160 + a**5/40 + 7*a**4/8 - a**3 - a**2 - 65*a. Factor o(c).
-3*(c - 2)*(c + 2)*(7*c - 2)/4
Let n(g) be the first derivative of 0*g**3 + 0*g - 5 - 2/3*g**2 + 1/3*g**4. Factor n(r).
4*r*(r - 1)*(r + 1)/3
Suppose -4*o = -g, 18 = 2*o - 4*o + 5*g. Let w(x) be the first derivative of o - 14/15*x**3 - x**2 + 4/5*x. Factor w(a).
-2*(a + 1)*(7*a - 2)/5
Let s be 7/(-56)*-4*8. Let v(o) be the second derivative of 4*o - 1/54*o**s + 1/9*o**3 - 2/9*o**2 + 0. Factor v(y).
-2*(y - 2)*(y - 1)/9
Suppose -9*w + 4*j - 30 = -11*w, 5*j - 30 = 0. Let -p - 1/5*p**4 + 3/5*p**2 + 1/5*p**w + 2/5 = 0. Calculate p.
-2, 1
Let y(v) = 7*v**3 + v**2 + 2 - v**3 - 2*v**2 + v**4 + v**4. Let z(n) = -3*n**4 - 7*n**3 + n**2 - n - 2. Let g(k) = -4*y(k) - 3*z(k). Factor g(f).
(f - 2)*(f - 1)**2*(f + 1)
Suppose 5*a + 1 = -3*k + 12, -k - 1 = -3*a. Factor -2/5*y**k + 12/5*y + 0.
-2*y*(y - 6)/5
Let d(v) be the first derivative of -4*v**3 + 10*v**2 - 8*v + 34. Find a such that d(a) = 0.
2/3, 1
Let b(l) be the second derivative of -1/42*l**7 + 0*l**2 + 0 + 0*l**4 + 0*l**3 + 0*l**5 + 1/30*l**6 + 7*l. Factor b(i).
-i**4*(i - 1)
Let d(z) be the first derivative of z**4/6 + 26*z**3/9 - 29*z**2/3 + 10*z - 52. Factor d(r).
2*(r - 1)**2*(r + 15)/3
Let t(n) be the third derivative of 0*n + 2/15*n**3 + 1/75*n**5 + 1/75*n**6 - 4/525*n**7 + 1/840*n**8 - 1/12*n**4 + 0 - 32*n**2. Solve t(w) = 0.
-1, 1, 2
Let u(v) be the second derivative of 0*v**2 + 1/14*v**4 - 18*v + 0*v**3 + 0 - 3/140*v**5 - 1/70*v**6. Determine x, given that u(x) = 0.
-2, 0, 1
Suppose 4*p + 4 = 0, 5*a - 2*p - 9 = -3*p. Solve -9*y**a + 6*y**2 + 0*y - 6*y = 0 for y.
-2, 0
Let w be (12 - 22)*(-6)/5. Let y be (4 + (-92)/w)*-3. Suppose 4*d - 24*d**2 - 1 + y*d - 5 + 12*d**3 - 2*d**4 + 5*d = 0. What is d?
1, 3
Let o be (-24)/8 - ((-37)/3 - -1). Let t = o - 119/15. Factor -t*x**2 + 0*x + 2/5.
-2*(x - 1)*(x + 1)/5
Let a(h) = 93*h**2 - 27*h - 66. Let j(t) = -7*t**2 + 2*t + 5. Let x(b) = 2*a(b) + 27*j(b). Factor x(o).
-3*(o - 1)*(o + 1)
Let q = 11830 + -59147/5. Factor 1/5*x**3 + 2/5*x + 0 - q*x**2.
x*(x - 2)*(x - 1)/5
Let y be (-31)/(-2) + (-4)/(-8). Suppose y = 2*r + 2*r. Factor 192*a**2 + 227 - 44 + 329 + 512*a + 32*a**3 + 2*a**r.
2*(a + 4)**4
Let v(u) be the first derivative of 1/48*u**4 + 11*u + 0*u**3 - 4 - 1/8*u**2. Let m(b) be the first derivative of v(b). What is r in m(r) = 0?
-1, 1
Let j(f) = 81*f + 1622. L