 0*k**g + 0 + 2/5*k**3 + 2/5*k**5 + 0*k - 4/5*k**4 = 0.
0, 1
Let d(m) be the second derivative of 0*m**3 + 2*m + 1/36*m**4 - 1/126*m**7 + 1/60*m**5 - 1/90*m**6 + 0*m**2 + 0. Let d(w) = 0. Calculate w.
-1, 0, 1
Let r(d) = -d + 2. Let k = -6 - -6. Let j be r(k). Factor -3 + 4 - h**3 - 2 - 3*h**j + 5.
-(h - 1)*(h + 2)**2
Let y be (-9)/((-135)/84) - (-8)/20. Let a(q) be the first derivative of 0*q**2 - 3/5*q**5 - 1/6*q**y - 3/4*q**4 - 1/3*q**3 + 0*q + 3. Factor a(i).
-i**2*(i + 1)**3
Let l(b) = -1. Let x(t) = t**2 - 6*t + 4. Let o(k) = -15*l(k) + 3*x(k). Determine d so that o(d) = 0.
3
Let z = 7 + -5. Solve -1/4*u**z + 0*u - 1/4*u**3 + 0 = 0.
-1, 0
Let p(k) be the third derivative of k**8/100800 + k**7/12600 + k**6/3600 - k**5/15 + k**2. Let t(f) be the third derivative of p(f). Factor t(d).
(d + 1)**2/5
Let l(j) = -2*j + 4. Let o(x) = x**2 + 5*x - 13. Let f(q) = -14*l(q) - 4*o(q). Factor f(u).
-4*(u - 1)**2
Find b such that 0*b - 2/15*b**2 + 2/15 = 0.
-1, 1
Let f(h) be the second derivative of -5/6*h**4 - 2*h - 7/3*h**3 + 0 - 2*h**2. Factor f(y).
-2*(y + 1)*(5*y + 2)
Suppose 1/4*g**5 + 0 - g - g**4 + g**2 + 3/4*g**3 = 0. Calculate g.
-1, 0, 1, 2
Let x(r) be the first derivative of -r**6/33 + 2*r**5/55 - 3. Factor x(p).
-2*p**4*(p - 1)/11
Let r(h) = 36*h**3 - 21*h**2 - 11. Let l(v) = 7*v**3 - 4*v**2 - 2. Let g = 2 - 0. Let t(a) = g*r(a) - 11*l(a). Let t(p) = 0. Calculate p.
0, 2/5
Let a(m) be the second derivative of -3*m**5/20 + 5*m**4/4 - 4*m**3 + 6*m**2 + m. Let a(w) = 0. What is w?
1, 2
Let n be (0 + (-4)/(-6))*9/2. Let q(m) be the second derivative of -1/147*m**7 + 2/105*m**6 + 0*m**2 - 1/21*m**4 + 3*m + 0 + 1/21*m**n + 0*m**5. Factor q(t).
-2*t*(t - 1)**3*(t + 1)/7
Let l(z) = -z**2 - 5*z - 2. Let c be l(-3). Factor -v**3 - 3*v**5 - 2*v**c + v**4 + 4*v**5 + v**2.
v**2*(v - 1)**2*(v + 1)
Factor -4*r**3 + 10*r**2 - 10*r**2 - 8*r**2 + 16*r + 2*r**4.
2*r*(r - 2)**2*(r + 2)
Factor -3 - 3/4*h**3 - 3/2*h**2 + 21/4*h.
-3*(h - 1)**2*(h + 4)/4
Let i(x) be the second derivative of 0 + 2/9*x**3 + 1/45*x**6 + 2/15*x**5 + 0*x**2 - 3*x + 5/18*x**4. Factor i(h).
2*h*(h + 1)**2*(h + 2)/3
Let x(l) be the second derivative of l**7/70 - 7*l**6/150 + l**4/15 + 4*l. What is c in x(c) = 0?
-2/3, 0, 1, 2
Let a(m) be the first derivative of 64/35*m**5 + 2/7*m**2 + 24/7*m**4 + 8 + 12/7*m**3 + 0*m. Find b such that a(b) = 0.
-1, -1/4, 0
Let v(d) be the third derivative of 0 - 5*d**2 - 1/90*d**5 - 1/12*d**4 + 0*d - 2/9*d**3. Determine t, given that v(t) = 0.
-2, -1
Let a(j) = 5*j**2 - 2*j + 2. Let t(x) = 36*x**2 - 15*x + 15. Let h(s) = 15*a(s) - 2*t(s). Solve h(c) = 0.
0
Let f(y) = -y**3 - 7*y**2 + 5. Let g be f(-7). Determine v, given that -5*v**2 - 2*v**3 + 3*v**2 + 2*v**4 + g*v**5 - 3*v**5 = 0.
-1, 0, 1
Let v(m) be the second derivative of m**7/14 - m**6/10 - 9*m**5/20 + m**4/4 + m**3 + 11*m. Let v(b) = 0. What is b?
-1, 0, 1, 2
Let o be (-4)/(-1)*(-324)/(-432). Solve -z**o + 2/3 - 4/3*z**2 + 1/3*z = 0 for z.
-1, 2/3
Let j(u) be the second derivative of 7*u**6/6 - 23*u**5/4 + 25*u**4/3 - 10*u**3/3 + 45*u - 1. Factor j(c).
5*c*(c - 2)*(c - 1)*(7*c - 2)
Let a = 1/316 - -17/7110. Let p(u) be the third derivative of 2/9*u**3 + 0 + 0*u - 3*u**2 - 1/36*u**4 - 1/45*u**5 + a*u**6. Factor p(m).
2*(m - 2)*(m - 1)*(m + 1)/3
Suppose 0 = -3*m - m + 2*o + 232, o + 176 = 3*m. Let w be ((-24)/m)/((-8)/10). Factor -w*r**2 - 1/2 - r.
-(r + 1)**2/2
Let l(c) = c**5 - c**4 - c. Let z(q) = -9*q**5 + 18*q**4 - 18*q**3 + 12*q**2 + 3*q. Let p(o) = -6*l(o) - z(o). Determine k, given that p(k) = 0.
0, 1
Suppose 61*n - 18*n = 0. Factor n*u**3 - 3/2 + 4*u + 1/2*u**4 - 3*u**2.
(u - 1)**3*(u + 3)/2
Suppose 22 = -0*j + 11*j. Factor -19/4*r**4 + 7/4*r**5 + 0 - 1/4*r**j - 1/2*r + 15/4*r**3.
r*(r - 1)**3*(7*r + 2)/4
Let x be 1/3 + (-4)/14. Let f(m) be the second derivative of 0*m**4 + m - x*m**7 - 1/10*m**5 + 0*m**2 - 2/15*m**6 + 0*m**3 + 0. Suppose f(t) = 0. What is t?
-1, 0
Let q(t) be the second derivative of -t**6/180 + t**5/60 - t**3/18 + t**2/12 + 15*t. Factor q(v).
-(v - 1)**3*(v + 1)/6
Let f(y) be the third derivative of -y**6/60 + 13*y**5/120 - 11*y**4/48 + y**3/6 + 7*y**2. What is x in f(x) = 0?
1/4, 1, 2
Let x be ((-21)/12)/(3/(-36)). Let l be x/36 - 1/3. Factor -l*y - 1/4*y**2 + 0.
-y*(y + 1)/4
Suppose 3*s = 3*t + 2*t - 35, -t + 3*s + 19 = 0. Let f be (-15)/(-6)*t/5. Factor -2/7 + 0*o + 2/7*o**f.
2*(o - 1)*(o + 1)/7
Let a(q) be the third derivative of -q**8/70560 - q**7/17640 + q**5/60 + 4*q**2. Let n(l) be the third derivative of a(l). Factor n(h).
-2*h*(h + 1)/7
Factor 5 - 3 - m**3 + m**4 - 2.
m**3*(m - 1)
Solve -2*i**2 + 0 - 6/5*i**3 - 4/5*i = 0.
-1, -2/3, 0
Let n(u) = -5*u**2 + 3*u. Let b(l) = -l**2 + l. Let q be 2*(-1)/2*1. Let z(i) = q*n(i) + 4*b(i). Factor z(g).
g*(g + 1)
Let v(u) be the second derivative of 3*u**6/5 + 11*u**5/10 - 8*u**4/3 - 4*u**3/3 - 31*u. Factor v(p).
2*p*(p - 1)*(p + 2)*(9*p + 2)
Let d(t) = 10*t**2 - 12*t - 10. Let i(y) be the first derivative of -4*y**3/3 + 5*y**2/2 + 4*y + 3. Let u(v) = 5*d(v) + 12*i(v). Factor u(a).
2*(a - 1)*(a + 1)
Suppose 5*s - 7 - 93 = 0. Let v = 23 - s. Determine d so that -2/7*d**2 + 0 + 2/7*d**v + 0*d = 0.
0, 1
Let o = -8/47 - -157/94. Suppose -81/2*x**4 + 27*x**2 + 0*x**3 + o + 12*x = 0. What is x?
-1/3, 1
Let y(b) = -b + 9. Let a(x) = -x + 10. Let c be a(6). Let z be y(c). Factor 2*m**4 + 2/3*m**2 + 0 - 2/3*m**z + 0*m - 2*m**3.
-2*m**2*(m - 1)**3/3
Let z = -93 + 97. Let n(v) be the third derivative of 0 + 4*v**2 - 1/96*v**z + 0*v - 1/240*v**5 + 0*v**3. Let n(u) = 0. Calculate u.
-1, 0
Let y(p) = -4*p**3 + 2*p**2 + 4*p - 2. Let t(d) = d**4 - 9*d**3 + 3*d**2 + 9*d - 4. Let c(q) = -3*t(q) + 7*y(q). Factor c(w).
-(w - 1)*(w + 1)**2*(3*w - 2)
Let y(z) be the first derivative of -2/3*z**3 + 1/6*z**6 - 3 + 0*z**4 + 2/5*z**5 + 0*z - 1/2*z**2. Suppose y(g) = 0. What is g?
-1, 0, 1
Let p(l) be the second derivative of -3*l + 1/15*l**6 + 1/42*l**7 + 0 - 1/6*l**4 + 0*l**5 + 0*l**2 - 1/6*l**3. Solve p(m) = 0.
-1, 0, 1
Factor -2/9 + 2/9*u**5 - 4/9*u**2 + 2/3*u**4 + 4/9*u**3 - 2/3*u.
2*(u - 1)*(u + 1)**4/9
Let l(x) be the second derivative of 0*x**2 + 0 + 1/10*x**3 - 6*x - 3/100*x**5 + 0*x**4. Factor l(h).
-3*h*(h - 1)*(h + 1)/5
Let i(q) = -11*q - 106. Let p be i(-10). Determine b, given that 1/3*b**5 - 2/3*b**2 + 1/3*b - 2/3*b**3 + 1/3*b**p + 1/3 = 0.
-1, 1
Let u = -4 - -8. Let j = u - 1. Find h, given that 6*h**3 + 2*h + 0*h**3 - 4*h**j - 4*h**2 = 0.
0, 1
Let c(i) = 9*i**2 - 2*i + 1. Let z be c(1). Let u = z - 6. Suppose 2*p + 2*p - 5*p + p**u = 0. What is p?
0, 1
Let l = 25 + -11. Let k be ((-36)/294)/((-2)/l). Suppose 4/7*h + 2/7*h**4 + 0*h**3 + 0 - k*h**2 = 0. What is h?
-2, 0, 1
Let h(b) be the third derivative of 0*b + 0*b**4 + 0 - 1/30*b**5 + 1/3*b**3 - 2*b**2. Factor h(r).
-2*(r - 1)*(r + 1)
Solve -14/5*p**4 - 6/5*p**3 + 0 - 8/5*p**5 + 0*p**2 + 0*p = 0.
-1, -3/4, 0
Let a(c) = 4*c**2 - 7*c - 5. Let q(t) = -2 + 3*t**2 + 1 - t + 0 - 2*t**2. Let r(p) = a(p) - 5*q(p). Factor r(v).
-v*(v + 2)
Suppose -5*q = -v + 7 - 0, -4*v - 4*q + 4 = 0. Suppose -21 = -v*h - 2*h - 5*k, 2*h + k = 9. Solve -2 - 5 + h*a**3 + 5 + 2*a**4 - 4*a = 0.
-1, 1
Let b be 0 + 4*9/12. Let g(t) = t. Let v be g(b). Determine m so that -2 + 3 - v*m**2 + 2 = 0.
-1, 1
Factor 0*f**3 - 2/9*f**4 + 0*f - 2/9 + 4/9*f**2.
-2*(f - 1)**2*(f + 1)**2/9
Let b(p) be the first derivative of -p**3 + 3*p**2 - 3*p - 2. Let b(i) = 0. What is i?
1
Factor -3*g + 3*g**3 - 9*g**2 + 10*g - g.
3*g*(g - 2)*(g - 1)
Let g = 6 + -4. Let u be 0 - (-3 + -1 + g). Find j, given that -j**2 - 4*j + u*j + 0*j = 0.
-2, 0
Let c(l) be the third derivative of -8*l**2 + 1/105*l**5 + 3/140*l**6 + 0*l**3 + 0 + 0*l + 4/245*l**7 + 0*l**4 + 5/1176*l**8. Find g such that c(g) = 0.
-1, -2/5, 0
Let y = 517/41090 - -1/587. Let o(n) be the second derivative of 0 - 2/21*n**3 + y*n**5 - 2*n + 0*n**2 - 1/42*n**4. What is l in o(l) = 0?
-1, 0, 2
Let k(d) be the third derivative of 0 + 4*d**2 + 0*d + 1/315*d**7 + 1/180*d**6 - 1/504*d**8 + 0*d**4 + 0*d**3 - 1/90*d**5. Determine i, given that k(i) = 0.
-1, 0, 1
Let o(m) be the second derivative of -m**6/165 + m**5/110 + m**4/22 - 5*m**3/33 + 2*m**2/11 + 13*m. Determine i, given that o(i) = 0.
-2, 1
Let b(a) = 6*a**3 - 2*a**2 + 4*a - 3. Let y(z) = -z**3 - z + 1. Let x(i) = -b(i) -