2/9*l**4 + 0 = 0.
-1, 0, 1
Let x(f) be the first derivative of -2*f**5/15 - 7*f**4/6 - 22*f**3/9 - 5*f**2/3 + 55. Find k, given that x(k) = 0.
-5, -1, 0
Factor -13/2*w**4 + 1/2*w + 0 + 15/2*w**3 - 7/2*w**2 + 2*w**5.
w*(w - 1)**3*(4*w - 1)/2
Let d(i) be the first derivative of -i**8/840 - i**7/84 - 2*i**6/45 - i**5/15 - 11*i**3/3 - 2. Let x(c) be the third derivative of d(c). What is j in x(j) = 0?
-2, -1, 0
Suppose a = 4*i + 5 - 2, -a - i = -3. Let q(c) be the second derivative of -1/4*c**4 + c - c**a + 0 + 0*c**2. Factor q(w).
-3*w*(w + 2)
Let -1/4*k**3 + 5/4*k**2 - 5/4 + 1/4*k = 0. Calculate k.
-1, 1, 5
Let r(h) be the second derivative of h**5/50 - h**4/5 + 4*h**3/5 - 8*h**2/5 + 2*h + 9. Factor r(o).
2*(o - 2)**3/5
Let b(l) be the third derivative of l**8/112 - 3*l**7/70 + l**6/40 + 3*l**5/20 - l**4/4 + 89*l**2. Let b(x) = 0. Calculate x.
-1, 0, 1, 2
Let r = 22477/17988 + 2/4497. What is q in -r*q**3 - 5/2 + 0*q**2 + 15/4*q = 0?
-2, 1
Let d(c) = -6*c**3 - 4*c**2 + 4*c + 8. Let u(m) = -6*m**3 - 4*m**2 + 5*m + 8. Suppose 18 - 13 = -p. Let f(i) = p*d(i) + 6*u(i). Factor f(s).
-2*(s + 1)**2*(3*s - 4)
Let u(a) = -a**2 + 8*a - 15. Let s be u(3). Suppose s = 3*t - 2*x - 1, -2*t + 2*x + 3*x - 14 = 0. Factor -11/5*y**2 + 2/5*y + y**t + 0.
y*(y - 2)*(5*y - 1)/5
Let x(v) = 37*v + 148. Let m be x(-4). Let h(l) be the first derivative of m*l**2 + 2/35*l**5 + 0*l**3 + 0*l - 1/7*l**4 - 1. Solve h(q) = 0 for q.
0, 2
Let q(r) be the second derivative of r**6/6 - 9*r**5 - 185*r**4/12 + r + 45. Solve q(g) = 0.
-1, 0, 37
Factor 15/8*d - 2*d**2 + 1/8*d**3 + 0.
d*(d - 15)*(d - 1)/8
Suppose s = 14 - 5. Let o be -4*(-4 + s/12). Determine k so that o + k**5 + 2*k**2 - k + k**4 - 3*k**4 - 13 = 0.
-1, 0, 1
Let l(a) = a**3 - 13*a**2 - 14*a + 4. Let z be l(14). Let p(m) = 3*m - 6. Let d be p(z). What is x in -2*x - 3 + 0*x**2 - 1 + 8 - d*x**2 = 0?
-1, 2/3
Let d(c) = -6*c - 3. Let h be d(3). Let y be h/(-49) + 50/14. Factor y*x**3 + 3*x - 3*x - x - 3*x.
4*x*(x - 1)*(x + 1)
Let z(a) be the third derivative of -a**7/385 + 3*a**6/55 + 26*a**2 + a. Solve z(b) = 0.
0, 12
Let j = 4286/715 + 58/143. Factor 4/5*a**4 - 32/5*a**2 - 16/5*a**3 + 64/5 + j*a + 2/5*a**5.
2*(a - 2)**2*(a + 2)**3/5
Let d be 6/(-51) + (-4327)/68. Let n = d + 64. Factor 1/4*z + 1/2 - n*z**2.
-(z - 2)*(z + 1)/4
Let g be 3/(-2) - (-36)/8. Suppose -7*y**3 - 15*y**4 - 12*y**g - 2*y**3 - 6*y**2 = 0. Calculate y.
-1, -2/5, 0
Let 8*a**2 - 2/5*a**3 + 36/5 - 74/5*a = 0. What is a?
1, 18
Suppose 2*u + 19*u = 105. Let h be ((-24)/14)/(-6) - 0. Factor -4/7*o**2 - h*o + 4/7*o**3 + 2/7*o**4 - 2/7*o**u + 2/7.
-2*(o - 1)**3*(o + 1)**2/7
Factor -48/11 - 2/11*z + 48/11*z**2 + 2/11*z**3.
2*(z - 1)*(z + 1)*(z + 24)/11
Let a be -6 - (-13)/(910/644). Suppose 8/5 - 18/5*z**3 + a*z - 6/5*z**2 = 0. Calculate z.
-2/3, 1
Let y(l) = -l**4 + 2*l**3 + l**2 + l - 3. Let u(s) = -s**4 + s**3 + 2*s**2 + 2*s - 2. Let q be (-78)/13*2/6. Let o(t) = q*y(t) + 3*u(t). Factor o(b).
-b*(b - 2)*(b + 1)*(b + 2)
Factor 5*h**4 - 47 + 27*h**3 + 65 + 48*h**2 + 18*h + 39*h + 15*h**2 - 2*h**4.
3*(h + 1)**3*(h + 6)
Solve -34*g**4 + 416*g - 224*g**3 - 30*g**4 - 492*g - 228*g**2 - 8 = 0.
-2, -1, -1/4
Let l be ((-441)/(-54) - 9)*(-1)/5. Let i(g) = g**3 - 10*g**2 + 2. Let h be i(10). Factor l*d**h + 1/3 - 1/2*d.
(d - 2)*(d - 1)/6
Factor -8 + 132/5*j + 28/5*j**2.
4*(j + 5)*(7*j - 2)/5
Let p(z) = -6*z - 58. Let l be p(-10). Suppose 0 = -2*i - 2*i + 16. Suppose i*b**3 - b + 4*b**l - 3*b + 1 - 5 = 0. Calculate b.
-1, 1
Factor 9*j**3 + 1242*j**4 - 25*j**2 - 1237*j**4 - 14*j**3 - 15*j.
5*j*(j - 3)*(j + 1)**2
Let t(y) = 65*y**4 + 65*y**3 - 90*y**2 + 40*y. Let o(h) = -5*h**4 - 17*h - 5*h**3 + 3*h**2 + 34*h + 4*h**2 - 20*h. Let m(v) = -40*o(v) - 3*t(v). Factor m(k).
5*k**2*(k - 1)*(k + 2)
Let n(p) be the third derivative of -p**7/168 - 87*p**6/16 - 68641*p**5/48 - 28275*p**4/4 - 42250*p**3/3 + 161*p**2. Factor n(o).
-5*(o + 1)**2*(o + 260)**2/4
Factor 53*x - 134*x + 41*x + 302*x**2 + 156 - 306*x**2.
-4*(x - 3)*(x + 13)
Let q(f) = -3*f**4 + 26*f**3 - 20*f**2 - 24*f + 23. Let j(x) = -15*x**4 + 131*x**3 - 101*x**2 - 120*x + 116. Let u(p) = -2*j(p) + 11*q(p). Factor u(v).
-3*(v - 7)*(v - 1)**2*(v + 1)
Suppose -34 = 8*t + 6. Let c be 3*1/t - 2/(-2). Suppose 0*s + 3/5*s**4 + 0 - c*s**3 + 0*s**2 = 0. Calculate s.
0, 2/3
Suppose 12 = -6*d + 10*d. Factor -2*f**3 - 4 - 12*f**2 + 20 + 6*f**d.
4*(f - 2)**2*(f + 1)
Factor 0 - 5/4*s**4 + 235/4*s - 475/4*s**2 + 245/4*s**3.
-5*s*(s - 47)*(s - 1)**2/4
Factor 0*z**4 + 18/5*z + 36/5*z**3 + 48/5*z**2 + 0 - 6/5*z**5.
-6*z*(z - 3)*(z + 1)**3/5
Let g = -689 - -3453/5. What is x in 0 - 2/5*x**2 + g*x = 0?
0, 4
Let s(w) be the third derivative of 2*w**7/735 - w**6/30 + 17*w**5/105 - 17*w**4/42 + 4*w**3/7 - 79*w**2. Factor s(g).
4*(g - 3)*(g - 2)*(g - 1)**2/7
Let w(d) = d**3 + d**2. Let a(b) = -2*b**3 - 10*b**2 - 32*b - 24. Let o(z) = a(z) + 4*w(z). Factor o(q).
2*(q - 6)*(q + 1)*(q + 2)
Solve -14/5*i**3 - 16/5*i + 31/5*i**2 + 0 - 1/5*i**4 = 0.
-16, 0, 1
Let o(s) = -10*s**2 - 16*s - 9. Let l(n) = -n**2 + n - 1. Let g(c) = 15*l(c) - 3*o(c). Determine m, given that g(m) = 0.
-4, -1/5
Let w(m) be the second derivative of -m**6/45 + m**5/3 - 19*m**4/18 - 10*m**3/3 + 59*m - 3. Factor w(u).
-2*u*(u - 6)*(u - 5)*(u + 1)/3
Let g be (134 - 118) + (-146)/11. Solve 0 - 2*r**2 + 4/11*r + g*r**3 = 0 for r.
0, 1/3, 2/5
Let b be -1*1 - (5 - -5). Let x = -3 - b. Factor 8 - 7*j**2 - 4*j - j**2 - 4*j**3 - x.
-4*j*(j + 1)**2
Let y(m) be the third derivative of -1/12*m**4 + 1/120*m**5 + 5/6*m**3 + 0*m + 1/360*m**6 - m**2 + 0. Let w(k) be the first derivative of y(k). Factor w(i).
(i - 1)*(i + 2)
Let g(m) = -4*m - 12. Let z be g(-5). Suppose -3*f + 7*f = 4*s - z, -s = f - 8. Factor -5*q**3 - 6*q**f - 6 - 8*q + q**3 + 6*q**2 + 18*q.
-2*(q - 1)*(q + 1)*(5*q - 3)
Let a = 0 + 12. Let n be (a/(-15))/(-12 + 6). Factor 4/15*r - 2/15*r**2 - n.
-2*(r - 1)**2/15
Determine d so that -67*d**3 + 2*d**3 + 291*d**2 + 138 - 41*d**3 - 351*d + 3*d**4 + 25*d**3 = 0.
1, 2, 23
Let a(d) be the first derivative of -9/2*d**4 + 0*d**2 - 6/5*d**5 + 14 + 0*d + 4/3*d**6 - 4/3*d**3. Determine o, given that a(o) = 0.
-1, -1/4, 0, 2
Let u(f) be the first derivative of -f**5/35 + f**4/14 + f**3/7 - 4*f**2/7 + 4*f/7 + 90. Suppose u(n) = 0. What is n?
-2, 1, 2
Let b(t) be the second derivative of 1/18*t**4 - 1/45*t**6 - 2/9*t**3 + 0*t**2 + 0 - 1/63*t**7 + 1/10*t**5 + 31*t. Find d such that b(d) = 0.
-2, -1, 0, 1
Let w(f) = 174*f - 1562. Let t be w(9). Let 0*s**3 - 3/2*s**5 + 0*s**2 + 3*s**t + 0*s + 0 = 0. What is s?
0, 2
Let o be ((-20)/(-3))/(6175/1482)*(-5)/(-14). Solve -2/7*i + 6/7*i**2 + 2/7*i**3 - 2/7 - o*i**4 = 0.
-1, -1/2, 1
Let x = -130679/90 - -1452. Let y(k) be the third derivative of -1/630*k**7 + 1/120*k**6 + 0*k + 0 - 12*k**2 + 0*k**3 + 0*k**4 - x*k**5. What is n in y(n) = 0?
0, 1, 2
Let x = -8/165 + 631/2805. Let f = x + 5/68. Determine q, given that -1/2 + 1/4*q**2 + f*q = 0.
-2, 1
Suppose 6*v - 3*v = 4*d + 7, -3*d + 3*v - 9 = 0. Determine t, given that 22*t**4 + 1 - 18*t**3 - 13 - 36*t - 25*t**4 - 39*t**d = 0.
-2, -1
Let j(m) be the second derivative of m**4/78 + 23*m**3/39 - 4*m - 23. Factor j(t).
2*t*(t + 23)/13
Let t(b) = -9*b - 10*b**2 + 10*b**4 + 3 + 24*b + 2 - 5*b**3. Let z(p) = -9*p**4 + 6*p**3 + 9*p**2 - 14*p - 4. Let l(w) = 4*t(w) + 5*z(w). Factor l(r).
-5*r*(r - 2)*(r - 1)*(r + 1)
Let d(r) be the first derivative of -3/14*r**4 + 6/7*r**3 + 32 - 6/7*r**2 + 0*r. Let d(m) = 0. Calculate m.
0, 1, 2
Let s(p) be the second derivative of 0 + 0*p**2 + 1/60*p**4 + 5*p + 1/100*p**5 + 0*p**3. Factor s(q).
q**2*(q + 1)/5
Let y(t) = 2*t**3 + 12*t**2 - 2*t + 12. Let u(o) = o**3 + o**2 + 2*o + 2. Let f(c) = 4*u(c) - y(c). Let f(j) = 0. What is j?
1, 2
Factor 3*j**4 - 285845 - 6*j**3 + 3*j**5 + 285845.
3*j**3*(j - 1)*(j + 2)
Factor 9/8*h**2 + 3/8*h**3 - 1/8*h**4 + 5/8*h + 0.
-h*(h - 5)*(h + 1)**2/8
Let v(q) be the second derivative of q**4/3 + 46*q**3/3 + 84*q**2 + 353*q. Let v(d) = 0. Calculate d.
-21, -2
Suppose 74*l = 85*l. Let z(f) be the second derivative of -1/18*f**4 - 7/18*f**3 + 13*f + l + 1/60*f**5 - 2/3*f**2. Determine k, given that z(k) = 0.
-1, 4
Let k(p) = -2*p**3 - 16*p**2 + 54*p - 40. Let f(t) = 8*t**3 + 65*t**2 - 215*t + 160. Let v(s) = -2*f(s) - 9*k(s). Factor v(y)