se -3*h - 3*t = -0*h - 18, -4*t + 15 = h. Determine i so that 31*i**2 + 69*i**h - 3*i**2 + 6*i**5 + 70*i**4 + 19*i**5 + 4*i = 0.
-1, -2/5, 0
What is j in 0*j + 0 + 4*j**2 - 4*j**4 + 4/3*j**3 - 4/3*j**5 = 0?
-3, -1, 0, 1
Let o(z) be the first derivative of 33*z**4/8 + 12*z**3 + 45*z**2/4 + 3*z - 32. Factor o(d).
3*(d + 1)**2*(11*d + 2)/2
Let k = 4/5 - 7/15. Solve -2/3*f**2 - 1/3*f**3 + 0 + k*f**5 + 2/3*f**4 + 0*f = 0.
-2, -1, 0, 1
Let k(w) = -3*w**2 - 182*w + 69. Let i be k(-61). Find h such that -i*h**3 + 44/7*h**2 - 8/7*h**5 + 34/7*h**4 + 2/7 - 16/7*h = 0.
1/4, 1
Let q(u) be the first derivative of -3*u**5/5 + 3*u**4/4 - 8. Factor q(i).
-3*i**3*(i - 1)
Determine s, given that 16*s + 6 + 44/3*s**2 + 16/3*s**3 + 2/3*s**4 = 0.
-3, -1
Let m(d) = 8*d**2 + 2*d**3 - 3*d**2 + 4*d - 3*d**3 + 2*d**3. Let r(t) = 2*t**3 + 12*t**2 + 10*t. Let c(f) = -12*m(f) + 5*r(f). Factor c(a).
-2*a*(a - 1)*(a + 1)
Let y(j) be the first derivative of -j**7/280 + j**5/40 - 4*j**3/3 + 2. Let l(z) be the third derivative of y(z). What is k in l(k) = 0?
-1, 0, 1
Determine k, given that 12 - 6*k + 5 - 9 - 2*k**2 + 0*k**2 = 0.
-4, 1
Solve 2/5*b + 1/5*b**3 - 9/5*b**2 + 12/5*b**4 + 0 = 0.
-1, 0, 1/4, 2/3
Let h(w) be the first derivative of 2*w**3/9 + 2*w**2/3 + 2*w/3 - 17. Factor h(n).
2*(n + 1)**2/3
Let p(f) be the first derivative of -f**4/6 - 2*f**3/9 + 2*f**2/3 - 3. Determine z, given that p(z) = 0.
-2, 0, 1
Let t(v) be the first derivative of -v**4/4 - v**3 - v**2 - 6. Let t(l) = 0. What is l?
-2, -1, 0
Let f(m) = m**2 - 4*m - 6. Let g be f(6). Let r(q) be the third derivative of -q**2 + 1/80*q**g + 0*q + 0 + 1/12*q**3 + 5/48*q**4 + 7/120*q**5. Factor r(w).
(w + 1)**2*(3*w + 1)/2
Suppose -2*g + 1 = -1. Factor 6 + 11 + 32*v - 20*v**2 - g.
-4*(v - 2)*(5*v + 2)
Let k = 121 - 119. Factor 18/7 + 12/7*n + 2/7*n**k.
2*(n + 3)**2/7
What is y in -16*y**2 - 16*y**2 - 2*y**4 - 36*y**5 + 24*y**2 + 36*y**3 + 10*y**4 = 0?
-1, 0, 2/9, 1
Let s = -232/3 - -78. Let s*n**4 - 2/3*n**2 - 2/3*n + 2/3*n**3 + 0 = 0. What is n?
-1, 0, 1
Let b(j) = j + 1. Let t(i) = -3*i - 4. Let f(y) = 2*b(y) + t(y). Let x be f(-4). Suppose -r + 6*r**3 - 2*r**3 + r**x - 3*r**3 - 1 = 0. What is r?
-1, 1
Let c(u) be the third derivative of 0*u + 0*u**3 - 1/60*u**5 - 1/24*u**4 - 2*u**2 + 0. Solve c(g) = 0 for g.
-1, 0
Let f be (-4)/(-3)*(-15)/(-10). Let x be (8/(-12))/(f/(-3)). Factor 7*u**2 - 6*u**2 + x - 1.
u**2
Let g(l) be the first derivative of 2*l**3/3 - 2*l**2/3 + 2*l/9 + 4. Factor g(c).
2*(3*c - 1)**2/9
Let p(n) = -n**4 - 3*n**3 - n**2 + 3*n - 4. Let t(v) = 0*v**2 - 10*v + 10*v**3 - 4*v**2 + 6*v**2 + 14 + 2*v**4 - 2. Let k(c) = -8*p(c) - 3*t(c). Factor k(q).
2*(q - 2)*(q - 1)**2*(q + 1)
Let i = -1/52 - -4/39. Let k(b) be the third derivative of -1/60*b**5 + 2*b**2 - 1/6*b**3 + 0 + 0*b + i*b**4. Factor k(f).
-(f - 1)**2
Factor 2*f**3 + 6*f**3 + 22*f**2 - 16*f**3 - 10*f - 4.
-2*(f - 2)*(f - 1)*(4*f + 1)
Let c be (2/(-3) - -1)/(3/18). Let 0*i**4 + 0 - 1/3*i**5 + 0*i**c - 1/3*i + 2/3*i**3 = 0. Calculate i.
-1, 0, 1
Let y(s) be the third derivative of s**5/420 + s**4/42 + 2*s**3/21 + 5*s**2. Factor y(m).
(m + 2)**2/7
Let u be 0 - -2 - 22/(-10). Let o = -58/15 + u. Factor 1/3*h**2 + 2/3*h + o.
(h + 1)**2/3
Suppose 0 = -7*u + 4*u + 9. Factor o**5 + 3*o**2 - 4*o**3 + 5*o**3 + 0*o**5 - 2*o - u*o**4.
o*(o - 2)*(o - 1)**2*(o + 1)
Let o(a) = 12*a - 8*a**3 - 4*a + 11*a**2 + 8 - a**2. Let b(h) = -h**3 + h**2 + h + 1. Let r(l) = -18*b(l) + 2*o(l). Let r(d) = 0. What is d?
-1, 1
Let b(j) = -4*j**4 - 4*j**2 + j**3 + 0*j**4 + 9 - 6. Let n(v) = -9*v**4 + 3*v**3 - 9*v**2 + 7. Let t(r) = 7*b(r) - 3*n(r). Factor t(z).
-z**2*(z + 1)**2
Let v(n) be the third derivative of -n**8/672 + 11*n**7/420 - 23*n**6/120 + 3*n**5/4 - 27*n**4/16 + 9*n**3/4 - 6*n**2. Let v(m) = 0. What is m?
1, 3
Let l(g) be the first derivative of g**4 - 7*g**3/3 + g**2 + g + 19. Determine c so that l(c) = 0.
-1/4, 1
Let w(t) be the second derivative of t**6/360 + t**5/120 + t**3/6 + 3*t. Let x(d) be the second derivative of w(d). Find q such that x(q) = 0.
-1, 0
Let f(b) be the third derivative of -b**7/525 - b**6/100 - b**5/50 - b**4/60 - 5*b**2. Solve f(w) = 0.
-1, 0
Solve 25/4 + 5/4*m**2 - 15/2*m = 0.
1, 5
Let t(k) be the third derivative of -k**6/60 + k**5/8 + k**4/12 + 23*k**2. Determine l so that t(l) = 0.
-1/4, 0, 4
Let p(y) = y**3 - 10*y**2 + 10*y - 6. Let s be p(9). Determine x so that 3 - 2 - x**s + x**2 - 1 = 0.
0, 1
Let w(o) be the second derivative of 5/24*o**3 + 0 - 1/120*o**6 - 1/80*o**5 + 1/4*o**2 - 2*o + 1/16*o**4. Let w(v) = 0. Calculate v.
-1, 2
What is v in 32*v**2 - 12*v**2 - 4*v**4 + 4 - 20 = 0?
-2, -1, 1, 2
Let v(p) be the second derivative of p**4/15 - 2*p**3/5 + 4*p**2/5 - 10*p. Factor v(a).
4*(a - 2)*(a - 1)/5
Let w(b) = b**3 - 37*b + 8. Let c be w(6). Find a such that 6/7*a + 4/7 - 2/7*a**4 - 2/7*a**c - 6/7*a**3 = 0.
-2, -1, 1
Let a(g) = -g**2 - 2*g + 2. Let d be a(-4). Let l be (8/d)/(4/(-2)). What is r in 4/3*r + 2*r**2 + 0 + l*r**3 = 0?
-2, -1, 0
Suppose 5*y + 247 = -4*z - 63, 2*y = -3*z - 117. Let r be 1/(-3) + y/(-36). Factor -1/2*l**3 + 1/2 - 3/2*l + r*l**2.
-(l - 1)**3/2
Let n be 2/5 + 26/10. Determine k so that -4*k**2 + 2*k**2 + 4*k**n - 8*k - 2*k**2 = 0.
-1, 0, 2
Let b(g) = 4*g**3 - 3*g**2 - 5. Let d(s) = 20*s**3 - 16*s**2 - 24. Let u(i) = 24*b(i) - 5*d(i). Factor u(r).
-4*r**2*(r - 2)
Let o be (-6)/(-15) - (-17)/(-5). Let m(w) = -w**2 - 5*w - 3. Let p be m(o). Factor -4*t + 8*t**4 - 3*t**p + 8*t**5 + 6*t**4 + 2 - t**3 - 16*t**2.
2*(t - 1)*(t + 1)**3*(4*t - 1)
Let o(i) be the third derivative of -i**6/600 + i**5/100 + i**4/120 - i**3/10 + 2*i**2 + 29. Factor o(w).
-(w - 3)*(w - 1)*(w + 1)/5
Suppose 6 + 0 = 2*u. Let q be -1 + ((-1)/u - -2). Determine i so that -q*i**2 - 2/3*i**3 + 1/3*i + 1/3 + 1/3*i**4 + 1/3*i**5 = 0.
-1, 1
Let h be (-24)/(-80)*(4 - (-40)/(-12)). Solve 3/5*b - 1/5*b**5 + 2/5*b**2 + h - 2/5*b**3 - 3/5*b**4 = 0 for b.
-1, 1
Factor 0*j**2 + 0*j + 3/2*j**5 + 0 + 0*j**3 + 3/2*j**4.
3*j**4*(j + 1)/2
Let x(s) be the second derivative of -2/3*s**3 + 0 - s + 0*s**2 - 1/6*s**4 + 1/10*s**5. Factor x(v).
2*v*(v - 2)*(v + 1)
Let m(w) = -9*w**3 - 4*w**2 + w + 4. Let h(b) = -19*b**3 - 9*b**2 + b + 9. Let u(x) = -4*h(x) + 9*m(x). What is t in u(t) = 0?
-1, 0, 1
Let z be ((-10)/3 - -3)*-12. Let b(c) be the second derivative of -c + 1/48*c**z + 0*c**3 + 0 + 0*c**2 - 1/120*c**6 + 0*c**5. Factor b(k).
-k**2*(k - 1)*(k + 1)/4
Let n(d) = 2*d**3 + 17*d + 8*d**2 - d**3 - 7 + 6*d**4 + 6. Let h(o) = 5*o**4 + 2*o**3 + 9*o**2 + 16*o. Let g(q) = 5*h(q) - 4*n(q). Factor g(k).
(k + 1)**2*(k + 2)**2
Let t = 121/12 + -10. Let h(d) be the first derivative of 0*d + 2 + 0*d**2 + 1/4*d**4 - t*d**3. Factor h(b).
b**2*(4*b - 1)/4
Let n(s) be the first derivative of -1/5*s**2 + 0*s**3 + 1/5*s**4 + 0*s**5 - 1/15*s**6 + 0*s + 6. Factor n(v).
-2*v*(v - 1)**2*(v + 1)**2/5
Suppose 2*s - 13 = -5. Let a(t) be the first derivative of 0*t + 7/20*t**5 - 1 + 5/16*t**s + 0*t**2 - 1/6*t**3. Let a(o) = 0. What is o?
-1, 0, 2/7
Let d(z) be the first derivative of -z**7/126 - z**6/90 - 3*z - 4. Let u(j) be the first derivative of d(j). Suppose u(c) = 0. Calculate c.
-1, 0
Let c(u) be the second derivative of -u**6/105 + u**5/35 + u**4/42 - 2*u**3/21 - 15*u. Solve c(b) = 0.
-1, 0, 1, 2
Let 3/5*t + 0 + 1/5*t**2 = 0. Calculate t.
-3, 0
Let j be 5 - ((-1 - 1) + -1). Find i, given that j*i**4 + 2*i**5 - i + 12*i**3 + 8*i**2 + 3*i + 0*i**4 = 0.
-1, 0
Let r(o) be the first derivative of -2*o**3/27 - o**2 - 16*o/9 + 8. Factor r(g).
-2*(g + 1)*(g + 8)/9
Let q(d) = -d**2. Suppose -3*h + h + 5*o + 10 = 0, 5*h + 4*o = 25. Suppose j - h*j - 4 = 0. Let b(y) = 6*y**2 - 4*y. Let z(s) = j*b(s) - 4*q(s). Solve z(l) = 0.
0, 2
Let z(d) be the first derivative of 4/9*d - 1/9*d**2 - 2 + 1/18*d**4 - 4/27*d**3. Factor z(c).
2*(c - 2)*(c - 1)*(c + 1)/9
Let 16/3 - 8*n + 3*n**2 = 0. What is n?
4/3
Let v(o) be the second derivative of -o**5/90 - o**4/27 + 4*o**3/27 + 8*o**2/9 - 15*o. Solve v(g) = 0.
-2, 2
Let c(r) be the first derivative of -r**4/54 - 2*r**3/27 - r**2/9 - 10*r - 5. Let a(d) be the first derivative of c(d). Suppose a(q) = 0. What is q?
-1
Let n(z) be the third derivative of 1/5*z**5 + 0*z + 3/20*z**6 + 0 + 1/12*z**4 + 0*z**3 - 4*z**2. Factor n(t).
2*t*(3*t + 1)**2
Let 