88/3*u**4 + 32/3*u**2 = 0?
0, 2/5, 2
Suppose 10*v - 5*m = 12*v + 1, 4*v = -4*m + 4. Solve -18/5*r + 2/5 + 6*r**v - 14/5*r**3 = 0.
1/7, 1
Let q be (-1)/7*(-42)/72. Let k = q - -5/4. Let -6*u + k + 14/3*u**2 = 0. Calculate u.
2/7, 1
Let n(s) = -11*s - 33. Let o be n(-3). Suppose -2/3*h**4 + 2/9*h**2 + 0*h + 0*h**3 - 4/9*h**5 + o = 0. What is h?
-1, 0, 1/2
Let d(l) be the third derivative of l**6/30 + 2*l**5/5 + 5*l**4/6 - 8*l**3 - l**2 - 6. Solve d(x) = 0 for x.
-4, -3, 1
Suppose 288/11*y**5 - 32/11*y + 8/11 + 194/11*y**3 + 48*y**4 - 86/11*y**2 = 0. What is y?
-1, -2/3, 1/4
Find f, given that -147/2*f**4 - 132*f**2 - 24 + 144*f - 252*f**3 = 0.
-2, 2/7
Let 8 - 65*j - 34*j**5 - 90*j**5 + 290*j**2 - 15*j + 350*j**4 - 470*j**3 + 26*j**5 = 0. What is j?
2/7, 1
Suppose -2*g - 10 = -7*g. Let z be (g - 13/7)*2. Find p, given that -2/7*p**2 - z*p + 0 = 0.
-1, 0
Let j = -7 - -13. Suppose -3*z + 18 = j. Factor p**4 + 4*p**4 + 2*p - 4*p**3 + 2 + 2*p**5 - 3*p**4 - z*p**2.
2*(p - 1)**2*(p + 1)**3
Suppose -16*k = -41*k. Factor k - 6/5*h + 2/5*h**2.
2*h*(h - 3)/5
Let x be (1/(-9))/(-6 + (-35)/(-6)). Factor 0 - x*d**5 + 0*d + 0*d**4 + 0*d**2 + 2/3*d**3.
-2*d**3*(d - 1)*(d + 1)/3
Let v(z) be the third derivative of -1/7*z**8 + 4/35*z**7 + 0 + 2*z**2 + 0*z + 1/20*z**5 + 7/40*z**6 + 0*z**4 + 0*z**3. Suppose v(l) = 0. What is l?
-1/4, 0, 1
Factor 11*g - 19*g - 28*g**3 - 42*g - 104*g**2 + 32 - 30*g.
-4*(g + 2)**2*(7*g - 2)
Let k(l) be the second derivative of -5/4*l**3 + 3*l**2 + 1/8*l**4 + 0 + 7*l. Factor k(p).
3*(p - 4)*(p - 1)/2
Let l = 1154/9 + -128. Factor -4/9*r**2 + 2/9*r + l*r**3 + 0.
2*r*(r - 1)**2/9
Let w be -2*1*(-57)/76. Let -w*k**2 + 2 - 1/2*k**3 + 0*k = 0. Calculate k.
-2, 1
Let a(z) be the first derivative of -z**6/3 + 4*z**5 - 18*z**4 + 36*z**3 - 27*z**2 + 2. Factor a(k).
-2*k*(k - 3)**3*(k - 1)
Let v be (1/(-2))/((-9)/(-144)). Let x be 2/(-4)*4/v. Factor 0 - 1/4*h**3 - 1/4*h**4 + x*h**2 + 1/4*h**5 + 0*h.
h**2*(h - 1)**2*(h + 1)/4
Suppose 3*a = 2*a + 2. Solve -3*l + 2*l**2 + 0*l**2 + 2*l**2 + a*l**3 + 5*l = 0 for l.
-1, 0
Let v = -2/19 - -86/95. Let s(f) be the first derivative of -1/5*f**2 - 2/15*f**3 - 2 + v*f. Suppose s(m) = 0. Calculate m.
-2, 1
Let c(s) be the third derivative of s**5/60 + s**4/24 - s**3/3 + 4*s**2. Factor c(q).
(q - 1)*(q + 2)
Let f = 7 + -2. Let t = 0 + 10. Solve 8*d**5 + t*d**4 - 7*d**f + 13*d**5 - 4*d**3 = 0.
-1, 0, 2/7
Let u be ((-10)/7)/5 + (-38)/(-84). Let d(h) be the second derivative of -2*h - u*h**4 + 0 - 2/3*h**3 + 0*h**2. Let d(o) = 0. What is o?
-2, 0
Let d(f) = f**2 + f - 1. Let b = 6 + 0. Let w(l) = 3*l**2 - 9. Let y(o) = b*d(o) - w(o). Factor y(h).
3*(h + 1)**2
Let f(w) be the third derivative of -w**5/30 - 19*w**4/84 + 2*w**3/7 + 5*w**2. Factor f(a).
-2*(a + 3)*(7*a - 2)/7
Suppose 0 - 2/3*q**3 + 0*q + 0*q**2 + 2/3*q**4 = 0. What is q?
0, 1
Let j(f) be the first derivative of -2*f**3/3 - 4*f**2 + 24*f + 4. Suppose j(q) = 0. Calculate q.
-6, 2
Let k = -18 - -21. Let q be 12/4 + (0 - k). Let -1/3*h**2 + q*h + 5/3*h**4 - h**5 - 1/3*h**3 + 0 = 0. Calculate h.
-1/3, 0, 1
Let -3/5*g - 6/5 + 3/5*g**2 = 0. Calculate g.
-1, 2
Suppose 0 = -4*a - a + 5*b + 50, 2*a = -2*b. Let 10*d**a - 3*d + 9*d**2 - 8*d**3 + 0*d**5 + d**4 - 10*d**4 + d = 0. What is d?
-1, 0, 2/5, 1/2, 1
Let h = -4 + 6. Find k such that -k + 4*k**h + 2 + 4*k + 6*k = 0.
-2, -1/4
Suppose 0 = 4*d - 20, -5*d = -2*x - 13 - 6. Suppose k**5 + 8*k**2 - 2*k**4 - 3 - 2*k**x - 7*k + 3 + 2 = 0. What is k?
-2, 1
Let f = 139 + -135. Let x(a) be the first derivative of -1/6*a**f + 2/9*a**3 + 0*a**2 + 0*a - 2. Factor x(b).
-2*b**2*(b - 1)/3
Let h be (-2)/(-1 - (-25)/65). Let -h*u**2 + 11/4*u**4 - 5/2*u**5 + 1/2 - 1/4*u + 11/4*u**3 = 0. Calculate u.
-1, -2/5, 1/2, 1
Factor 8/5 - 2/5*u**2 - 6/5*u.
-2*(u - 1)*(u + 4)/5
Let a = -4641 + 162529/35. Let i = -16/7 + a. Find v such that 12/5*v**3 + i*v - 8/5*v**4 + 0 - 8/5*v**2 + 2/5*v**5 = 0.
0, 1
Let u(g) be the first derivative of 5*g**6/2 - 10*g**5 + 15*g**4/2 + 40*g**3/3 - 45*g**2/2 + 10*g + 33. Find q, given that u(q) = 0.
-1, 1/3, 1, 2
Let t(m) be the first derivative of 1/9*m**3 + 1 + 0*m - 1/6*m**2. Find n, given that t(n) = 0.
0, 1
Suppose -6 = 2*s, 8 = 4*p - 2*s - 14. Solve 0*q**2 - 3/2*q**p + 0*q - q**3 + 0 = 0.
-2/3, 0
Let u(g) be the second derivative of g**5/80 + g**4/24 + g**3/24 - g - 1. Factor u(c).
c*(c + 1)**2/4
Let w(b) be the second derivative of -3*b - 2/27*b**3 + 0*b**2 + 1/6*b**4 + 0 - 7/90*b**5. Factor w(t).
-2*t*(t - 1)*(7*t - 2)/9
Let n(z) = 6*z**4 - 10*z**3 - 18*z**2 - 22*z + 28. Let q(j) = 2*j**4 - 3*j**3 - 6*j**2 - 7*j + 9. Let w(y) = -5*n(y) + 16*q(y). Let w(i) = 0. Calculate i.
-2, -1, 1
Let j be (0 + 6)/((-8)/(-4)). Let y be -1 + 3 + -1 + -1. Factor y + 0*a**2 + 0*a + 1/2*a**4 - a**j.
a**3*(a - 2)/2
Let r(d) be the second derivative of -d**4/30 - 6*d. Find l, given that r(l) = 0.
0
Let j(t) = -t**2 + 21*t - 88. Let u be j(15). Factor 1/5 - 1/5*g**u + 0*g.
-(g - 1)*(g + 1)/5
What is j in 1 - 2 + 1 + 5*j**2 = 0?
0
Factor -5/4*l**3 + 1/2*l + 0 - 3/4*l**2.
-l*(l + 1)*(5*l - 2)/4
Let t(u) be the first derivative of -u**3/6 - u**2/4 + 2. Factor t(a).
-a*(a + 1)/2
Let d be (-2 - 14)*(-6)/24. Let w(s) be the second derivative of 1/2*s**4 - 1/15*s**6 + 0 - 2*s - d*s**2 + 4/3*s**3 - 1/5*s**5. Factor w(c).
-2*(c - 1)**2*(c + 2)**2
Let d = -34 + 21. Let j = d - -16. Factor 0 + 1/4*z**4 - 5/4*z**j - z + 2*z**2.
z*(z - 2)**2*(z - 1)/4
Let r be 18/4*12/(-9). Let l = -2 - r. Factor 2/7*h**2 + 0*h + 0*h**3 + 0 - 2/7*h**l.
-2*h**2*(h - 1)*(h + 1)/7
Let s(q) = q**3 + q + 1. Let t(n) = 2*n**5 - 8*n**4 + 11*n**3 + 4*n**2 - 7*n + 7. Let f(z) = 3*s(z) - t(z). Factor f(d).
-2*(d - 2)*(d - 1)**3*(d + 1)
Let g(f) = -f**4 + f**3 + 1. Let a(k) = -50*k**4 - 182*k**3 - 172*k**2 - 68*k - 18. Let t(q) = -a(q) - 10*g(q). Suppose t(x) = 0. What is x?
-1, -2/3, -1/5
Let l(i) = i**5 - i**4 - i**3 - 1. Let b(w) = 3*w**5 - 5*w**4 - 3*w**3 + 7*w**2 - 6. Let c(s) = 3*b(s) - 6*l(s). Determine n so that c(n) = 0.
-1, 1, 2
Let i be -1*-1*4 - -1. Let v(x) be the third derivative of 1/105*x**7 + 1/168*x**8 + 0 + 0*x + 0*x**4 + 0*x**3 - 1/60*x**6 - 2*x**2 - 1/30*x**i. Factor v(k).
2*k**2*(k - 1)*(k + 1)**2
Let d(a) be the first derivative of -1/5*a**2 - 8/15*a**3 - 1/15*a**6 - 8/25*a**5 - 3/5*a**4 + 0*a - 4. Factor d(n).
-2*n*(n + 1)**4/5
Factor 1/9*v**2 + 1/9 - 2/9*v.
(v - 1)**2/9
Let b(k) be the first derivative of k**5 + 5*k**4 + 20*k**3/3 - 30. Factor b(v).
5*v**2*(v + 2)**2
Let b be 3/(-6) + (-42)/(-12). Suppose 2*k + 3*r = 6*k + 3, -b*k - 3 = -3*r. Factor 14/9*i**3 + 2*i**2 + k + 4/9*i.
2*i*(i + 1)*(7*i + 2)/9
Determine t so that 5*t**2 - 78 + 155 - 77 + 10*t = 0.
-2, 0
Let u(p) = 3*p - 3. Let s be u(3). Let n(m) be the first derivative of 2/15*m**5 + 0*m**4 + 0*m - 2 + 1/18*m**s + 0*m**2 + 0*m**3. Factor n(t).
t**4*(t + 2)/3
Let m = 60 - 60. Let g(t) be the third derivative of 0 + t**2 + 0*t + 1/90*t**5 + 0*t**4 + m*t**3. Factor g(r).
2*r**2/3
Suppose 4 = 2*f - 0*f. Factor 3*t**2 + 2*t - 4*t + f*t + 3*t**3.
3*t**2*(t + 1)
Let 7 - 9 + 2*v**2 + 0 + 5*v + 4 = 0. What is v?
-2, -1/2
Let u(a) be the second derivative of a**6/15 - a**5/5 - a**4/6 + 2*a**3/3 - 5*a. Factor u(w).
2*w*(w - 2)*(w - 1)*(w + 1)
Let b(w) be the third derivative of 0*w + 0 - 1/12*w**4 + 3*w**2 + 0*w**3 + 1/60*w**5. Factor b(a).
a*(a - 2)
Let k(x) be the third derivative of x**7/1260 + x**6/360 + x**5/360 - 10*x**2. Factor k(f).
f**2*(f + 1)**2/6
Let l(r) be the first derivative of 0*r + 0*r**2 - 4 + 2/3*r**3 - 3/4*r**4. Factor l(i).
-i**2*(3*i - 2)
Let x(l) be the first derivative of 4*l**4/9 - 4*l**3/9 + l**2/6 - 3*l + 3. Let q(r) be the first derivative of x(r). Factor q(k).
(4*k - 1)**2/3
Let l(h) be the first derivative of -1/75*h**6 + 0*h**2 + 1/30*h**4 + 0*h**5 + 0*h**3 - h - 2. Let c(v) be the first derivative of l(v). Factor c(b).
-2*b**2*(b - 1)*(b + 1)/5
Let h be -3*(-2)/(0 + 2). Factor -5*u**h + u**5 + u + 1 + 2*u**4 + u**4 - 2*u**2 + 3*u**3 - 2*u**4.
(u - 1)**2*(u + 1)**3
Let d = 113/200 + 3/50. Let r = d - 1/8. Determine f so that 3/4*f - r - 1/4*f**2 = 0.
1, 2
Let f(t) be the third derivative of t**4/24 - t**3/6 + 5*t**2. Let u be f(3). Suppose 0*y + 0 - 1/3*y**u = 0. What is y?
0
Solve 6/19*u - 2/19*u**2 + 20/19 = 0 for u.
-2, 5
Suppose 0 = 5*c + 3*