*h**4 - 6*h - 5*h**2 + 0*h**2 = 0.
-1, 1/3, 1
Let b(g) = 5*g**2 + 5*g. Let v(o) = -3*o. Let x(m) = -m**2 + 3*m. Let n(y) = -4*v(y) - 3*x(y). Let i(t) = 4*b(t) - 7*n(t). Factor i(w).
-w*(w + 1)
Let c(x) be the third derivative of 7*x**5/90 - x**4/18 - 7*x**2. Factor c(o).
2*o*(7*o - 2)/3
Let r(c) = -2*c**3 - 10*c**2 - 11*c - 13. Let g(t) = t**3 + 5*t**2 + 5*t + 7. Let p(f) = -5*g(f) - 3*r(f). Suppose p(n) = 0. Calculate n.
-2, -1
Suppose -21 + 24 = x. Let i(c) be the third derivative of 1/50*c**5 + 0*c + 0 + x*c**2 + 1/15*c**3 - 1/20*c**4 - 1/300*c**6. Determine s so that i(s) = 0.
1
Let s(h) be the second derivative of -h**7/252 - h**6/180 + h**5/120 + h**4/72 + 11*h. Suppose s(n) = 0. Calculate n.
-1, 0, 1
Let q(t) = -5*t**3 + 19*t**2 - 71*t + 29. Let l(z) = -z**3 + 4*z**2 - 14*z + 6. Suppose -5 - 17 = 2*h. Let y(s) = h*l(s) + 2*q(s). Find w, given that y(w) = 0.
2
Let k(p) be the first derivative of 3*p**5/25 - 3*p**4/20 - 2*p**3/5 + 27. Solve k(f) = 0 for f.
-1, 0, 2
Factor 0 + 0*d - 2/3*d**2.
-2*d**2/3
Let b(z) be the second derivative of 11*z**5/180 + 13*z**4/72 + z**3/9 + z**2 - 6*z. Let d(i) be the first derivative of b(i). Solve d(v) = 0 for v.
-1, -2/11
Let u(s) = -6*s**2 - s + 7. Let o be 4 + -2 + (-27)/3. Let t(n) = -3*n**2 - n + 4. Let z(l) = o*t(l) + 4*u(l). Factor z(k).
-3*k*(k - 1)
Let d be 0 - -3 - (-8)/(-3). Find q such that d*q**3 - 1/3*q + 0 + 0*q**2 = 0.
-1, 0, 1
Let w(i) be the third derivative of i**2 + 0*i**3 + 1/36*i**4 - 1/45*i**5 + 0*i + 1/180*i**6 + 0. Factor w(c).
2*c*(c - 1)**2/3
Let f(c) be the first derivative of -c**4/20 - 2*c**3/3 - 5*c**2/2 + 1. Factor f(s).
-s*(s + 5)**2/5
Let v be (-1 - -2) + 1222/14. Let z = -88 + v. Factor -2/7 + 4/7*l - z*l**2.
-2*(l - 1)**2/7
Let -3*a**4 - 3*a**3 - a**3 + 5*a**3 + 2*a**3 = 0. Calculate a.
0, 1
Let s(i) be the first derivative of -1/6*i**4 + 0*i**3 + 0*i**2 + 2*i - 1/10*i**5 - 2. Let d(b) be the first derivative of s(b). Solve d(y) = 0.
-1, 0
Let w(o) = -o**4 - 8*o**3 - 19*o**2 - 12*o. Let d(s) = -2*s**4 - 24*s**3 - 57*s**2 - 35*s. Let z(a) = -6*d(a) + 17*w(a). Factor z(m).
-m*(m - 3)*(m + 1)*(5*m + 2)
What is l in 3/4*l + 0 - 21/8*l**2 + 15/8*l**3 = 0?
0, 2/5, 1
Let m = 13 - 8. Let l(r) = -r - 3. Let n be l(-6). Suppose 12*f**5 - f - 10*f**m + 3*f - 4*f**n = 0. What is f?
-1, 0, 1
Let l(n) be the third derivative of 0*n**3 + 0*n + 0*n**4 - 1/420*n**6 - n**2 + 0*n**5 + 0. Factor l(d).
-2*d**3/7
Let y(m) be the second derivative of -m**4/18 - 4*m**3/9 - m**2 - 6*m. Factor y(v).
-2*(v + 1)*(v + 3)/3
Factor a**2 - 4*a**2 + 6 + 6.
-3*(a - 2)*(a + 2)
Let q(v) be the third derivative of -v**7/210 + v**6/120 + v**5/60 - v**4/24 - 2*v**2. Factor q(x).
-x*(x - 1)**2*(x + 1)
Let n(t) be the first derivative of -t**6/3 + 2*t**5/5 + t**4/2 - 2*t**3/3 + 1. Factor n(q).
-2*q**2*(q - 1)**2*(q + 1)
Let o be 72/48*12/9. Factor 0 + 3/2*a + 1/2*a**o.
a*(a + 3)/2
Let h = 17 - 11. Let i(z) be the first derivative of 1/6*z**h + z + 1 - 3/2*z**2 - 3/5*z**5 + 1/2*z**4 + 2/3*z**3. Suppose i(j) = 0. What is j?
-1, 1
Let j = -10679/40 + 267. Let y(b) be the third derivative of -1/8*b**4 - j*b**6 - 1/10*b**5 - b**2 + 0*b**3 + 0*b + 0. Suppose y(t) = 0. Calculate t.
-1, 0
Let h(i) be the second derivative of i**6/30 + i**5/20 - i**4/6 - 2*i. What is j in h(j) = 0?
-2, 0, 1
Factor -2/3*f - 2/3*f**2 + 0.
-2*f*(f + 1)/3
Suppose -12/5*q + 9/5*q**2 + 3/5*q**4 - 12/5 + 12/5*q**3 = 0. Calculate q.
-2, -1, 1
What is w in -10 + 4*w - 2/5*w**2 = 0?
5
Let y(j) be the second derivative of 2*j**2 + 1/30*j**6 + 0 - 2/3*j**3 + 1/10*j**5 - 1/4*j**4 + j. Factor y(w).
(w - 1)**2*(w + 2)**2
Let b(r) be the second derivative of -r**4/6 - r**3/3 + 2*r**2 + 14*r. Factor b(a).
-2*(a - 1)*(a + 2)
Let m(t) = t**2 + 35*t - 112. Let z be m(3). Factor 11/2*c**2 + z*c**3 + 1/4*c**4 + 9/4 + 6*c.
(c + 1)**2*(c + 3)**2/4
Let r(q) be the second derivative of 7*q + 0*q**3 + 0*q**2 + 1/54*q**4 + 0. Determine b, given that r(b) = 0.
0
Suppose -k - k + 20 = 4*a, a - 12 = -4*k. Let 4*s**3 - a*s - 2*s**3 - 2 + 0 + 2*s**3 + 2*s**4 = 0. What is s?
-1, 1
Let b(q) be the third derivative of -q**8/2184 + 4*q**7/1365 - q**6/260 - 24*q**2. Suppose b(f) = 0. What is f?
0, 1, 3
Let f be (4/(-10))/(4 - (-98)/(-20)). Find q such that 2/9*q - f*q**2 + 2/9 = 0.
-1/2, 1
Let s(i) be the first derivative of -i**4/4 - 4*i**3 + i**2/2 + 14*i - 2. Let u be s(-12). Determine j so that 2/5*j**4 - 2/5*j - 2/5*j**u + 2/5*j**3 + 0 = 0.
-1, 0, 1
Let q(a) = 4*a**4 + 2*a**3 + a**2 - 3*a - 3. Let t = -19 + 16. Let d(h) = 3*h**4 + h**3 - 2*h - 2. Let g(y) = t*d(y) + 2*q(y). Factor g(s).
-s**2*(s - 2)*(s + 1)
Suppose -13 - 13 = -13*g. Let 0 - 1/2*u**g + 1/2*u = 0. Calculate u.
0, 1
Suppose -16*q + 26*q = 20. Let a(d) be the first derivative of -3 - 1/12*d**3 + 0*d**q + 1/4*d. What is b in a(b) = 0?
-1, 1
Let f(j) = -22*j**2. Let s be f(-1). Let o be (-4)/s - (-40)/22. Factor -2/7*u**o + 0 + 0*u.
-2*u**2/7
Let c(n) = n + 1. Let h be c(-1). Let b be 8/(-6)*3/(-6). What is y in h + 2/3*y + b*y**2 = 0?
-1, 0
Let c = 12 - 10. Factor -93 + 4*d**c + 93 - 12*d.
4*d*(d - 3)
Suppose 2*b - 14 = -0*b. Determine s so that 15*s**4 - s**5 + b*s - 10*s**2 - 5*s**5 - s - 5*s**2 = 0.
-1, 0, 1/2, 1, 2
Let j = 901 - 9003/10. Let b(k) be the second derivative of -1/3*k**4 + 3*k - 7/3*k**3 + 2*k**2 + 0 + j*k**5. Factor b(z).
2*(z - 1)*(z + 1)*(7*z - 2)
Let z(i) be the first derivative of -i**6/1080 + i**5/120 - i**4/36 + 4*i**3/3 - 5. Let m(x) be the third derivative of z(x). Determine r so that m(r) = 0.
1, 2
Let z(h) = -h - 3. Let w be z(7). Let v be ((-6)/72)/(1/w). Find x, given that -1/6 + v*x - 9/2*x**5 - 7*x**3 + 21/2*x**4 + 1/3*x**2 = 0.
-1/3, 1/3, 1
Suppose 0 = -3*f + 12 - 0. Factor -8/5*i**2 + 2/5*i - 8/5*i**f + 0 + 2/5*i**5 + 12/5*i**3.
2*i*(i - 1)**4/5
Let s = -5 - -7. Let i = 3 + s. Factor -n**3 - i*n + 0*n + n - 4*n**2.
-n*(n + 2)**2
Let g = -45 - -21. Let r be (-4)/(-8)*g/(-9). Factor 2/3 + 2/3*w**2 + r*w.
2*(w + 1)**2/3
Let d(h) = -8*h**2 - 16*h - 16. Let n(s) = -7*s**2 - 16*s - 16. Let v(l) = 3*d(l) - 4*n(l). Factor v(q).
4*(q + 2)**2
Let c(z) be the first derivative of -1 - 1/8*z**4 - 1/2*z + 1/4*z**2 + 1/6*z**3. Factor c(x).
-(x - 1)**2*(x + 1)/2
Let w be 9/4 - 2/1. Let s = 233/4 - 58. Factor -w*r + 0 + 1/2*r**2 - s*r**3.
-r*(r - 1)**2/4
Let g(h) be the third derivative of -h**5/20 - h**4/6 - h**3/2 + 5*h**2. Let r(x) = -2*x**2 - 2*x - 2. Let v(u) = -3*g(u) + 5*r(u). Factor v(y).
-(y - 1)**2
Let y(h) be the third derivative of 0*h + 0 - 1/2*h**4 - 2*h**2 - 1/40*h**6 + 1/5*h**5 + 0*h**3. Factor y(x).
-3*x*(x - 2)**2
Let g(k) be the third derivative of k**7/630 + k**6/90 - k**5/10 + k**4/6 - 5*k**2. Let l(r) be the second derivative of g(r). Determine i, given that l(i) = 0.
-3, 1
Let t = 607/5 + -121. Factor -t*k + 0 - 6/5*k**3 + 6/5*k**2 + 2/5*k**4.
2*k*(k - 1)**3/5
Suppose 7*h = 3*h + 12. Determine s so that 4 - 4 - 27*s**2 + 6*s + 12*s**h = 0.
0, 1/4, 2
Let k = -3 - -5. Factor k*d**3 + 2*d - d**2 - 2*d - 2*d + d**4.
d*(d - 1)*(d + 1)*(d + 2)
Let j = -11 - -14. Factor 4*h + j - 18*h**2 + 2*h**2 + 8*h + 1.
-4*(h - 1)*(4*h + 1)
Let o(m) = 3*m - 9. Let g be 12/(-3) - -8*1. Let b be o(g). Factor -4/7*u + 7*u**b + 0 + 0*u**2.
u*(7*u - 2)*(7*u + 2)/7
Factor 3/4 + 3*g**2 - 15/4*g.
3*(g - 1)*(4*g - 1)/4
Let p(x) be the first derivative of 0*x + 3/14*x**4 - 2/21*x**3 + 0*x**2 - 3 - 4/35*x**5. Factor p(j).
-2*j**2*(j - 1)*(2*j - 1)/7
Let t(q) = 6*q**3 - 9*q**2 - 3. Let h(f) = -3. Let g(r) = 1. Let b(u) = 5*g(u) + 2*h(u). Let v(j) = -6*b(j) + t(j). Factor v(s).
3*(s - 1)**2*(2*s + 1)
Let k = -6/19 - -68/95. Let a(o) be the first derivative of 4/5*o**3 + 2/25*o**5 + 2/5*o - k*o**4 - 3 - 4/5*o**2. Determine x, given that a(x) = 0.
1
Let f = 4079/5 + -815. Factor 0 - 4/5*b**3 + 1/5*b**4 + 0*b + f*b**2.
b**2*(b - 2)**2/5
Factor -4/5*v**3 - 2/5 - 2/5*v**5 + 6/5*v - 4/5*v**2 + 6/5*v**4.
-2*(v - 1)**4*(v + 1)/5
Let x be 102/(-170)*1/(6/(-4)). Suppose -3/5*g**2 - x + g = 0. Calculate g.
2/3, 1
Let t(f) be the second derivative of -f**4/6 + 5*f**3/9 + 2*f**2/3 + f. Factor t(o).
-2*(o - 2)*(3*o + 1)/3
Let l(n) = 3*n**4 - 2*n**3 + 9*n**2 - 8*n. Let h = -4 - -15. Let v(x) = -x**4 + x**3 - 3*x**2 + 3*x. Let y(m) = h*v(m) + 4*l(m). Suppose y(w) = 0. Calculate w.
-1, 0
Let y = -399/2 - -201