-5*m - 93 = l + l, 5*l + 190 = -4*m. Let o(h) = l*k(h) - 6*j(h). Factor o(a).
-2*a*(a - 1)**2
Let x(v) = -4*v**2 - 5*v. Let t be 3 - 0/1 - 0. Let a(l) = 2*l + 0*l**2 - t*l - l**2. Let d(k) = 6*a(k) - x(k). Determine w, given that d(w) = 0.
-1/2, 0
Let g(t) = -2*t + 33. Let a be g(18). Let o be 1 + a + 10/5. Factor -2/5*k**3 + 0 + 0*k**2 + o*k.
-2*k**3/5
Let y(f) be the first derivative of -f**5/15 - f**4/3 - 5*f**3/9 - f**2/3 - 6. Factor y(u).
-u*(u + 1)**2*(u + 2)/3
Let n(y) = -y**4 - 4*y + 3. Let a = -3 - -7. Let s(m) = -4*m**4 - m**3 - 17*m + 13. Let g(x) = a*s(x) - 18*n(x). Factor g(l).
2*(l - 1)**3*(l + 1)
Suppose -b + 2 = b. Suppose l - 4 = -b. Let -t**2 + 2*t - l*t**2 + 6*t**2 = 0. Calculate t.
-1, 0
Factor -6 + 4*s - 3*s**2 - 7*s + 0*s - 6*s.
-3*(s + 1)*(s + 2)
Suppose -5*f + 1 = -14, -5*f + 105 = -5*p. Let g be 8/14*(-21)/p. Find y such that 2/3*y**3 + 0 - 2/3*y + 2/3*y**4 - g*y**2 = 0.
-1, 0, 1
Suppose -t**3 - 2*t**3 - 2*t + 5*t**3 - 4*t**2 - 4*t**3 = 0. Calculate t.
-1, 0
Let o(t) be the third derivative of t**8/126 - 23*t**7/945 + t**6/54 + t**5/270 - 17*t**2. Suppose o(d) = 0. What is d?
-1/12, 0, 1
Let q(k) = 289*k**2 + 29*k + 6. Let f(w) = 289*w**2 + 28*w + 7. Let r(n) = 5*f(n) - 6*q(n). Factor r(g).
-(17*g + 1)**2
Factor 0 - 1/6*l**3 + 1/3*l + 1/6*l**2.
-l*(l - 2)*(l + 1)/6
Suppose -3*t**5 + 6*t**4 + 4*t**2 - 20*t**2 + 5*t + 10*t**2 - 2*t = 0. What is t?
-1, 0, 1
Suppose 4*n - 3 - 5 = 0. Solve -6*x**3 - 3 - 1 + 7*x + 0*x**4 - x**4 - 13*x**n - 19*x = 0 for x.
-2, -1
Let w be 3/((-21)/4)*69/(-138). Let -6/7*c**3 + 0 - 6/7*c**4 - w*c**5 - 2/7*c**2 + 0*c = 0. What is c?
-1, 0
Let f = -1 - -4. Suppose 4*t - f = 5. Solve 0*z**3 + 2*z + 2*z**t - 4*z**3 + 0*z = 0.
-1/2, 0, 1
Suppose -11*w + 3*w = -16. Let b(t) be the third derivative of w*t**2 + 0*t + 0*t**7 + 1/32*t**4 + 0*t**3 + 0*t**5 + 1/448*t**8 + 0 - 1/80*t**6. Factor b(n).
3*n*(n - 1)**2*(n + 1)**2/4
Let o(w) be the first derivative of 1 + 1/3*w**3 + 1/4*w**4 - 1/6*w**6 + 0*w**2 + 0*w - 1/5*w**5. Factor o(g).
-g**2*(g - 1)*(g + 1)**2
Let o(s) be the second derivative of 0*s**2 + 2/105*s**7 - 6*s + 8/75*s**6 + 6/25*s**5 + 2/15*s**3 + 0 + 4/15*s**4. Factor o(r).
4*r*(r + 1)**4/5
Suppose -12*z + 15*z = 0. Let 2 - 2*a**2 + 0 - 2*a + z + 2*a**3 + 0 = 0. Calculate a.
-1, 1
Let h(j) = -4*j**4 + 2*j**3. Let x(c) = -c**4 + c**3. Let q(y) = -3*h(y) + 3*x(y). Factor q(b).
3*b**3*(3*b - 1)
Factor -2/5*a**2 + 4/5 - 2/5*a.
-2*(a - 1)*(a + 2)/5
Let d(u) be the first derivative of u**7/315 - u**6/180 - u**5/90 + u**4/36 - 3*u**2/2 - 1. Let j(y) be the second derivative of d(y). What is g in j(g) = 0?
-1, 0, 1
Let d(s) be the first derivative of 6*s + 4 + 3/2*s**2 - s**3. Solve d(o) = 0 for o.
-1, 2
Let j(m) = -m**2 - m - 1. Let u(i) = -7*i**2 + 8*i - 7. Let v(s) = -2*j(s) + u(s). Factor v(w).
-5*(w - 1)**2
Let o = 5 - 4. Suppose 0 = -3*a + o + 5. Solve y**2 - 5*y**2 + y**2 - 2*y - y**a - 2*y**3 = 0 for y.
-1, 0
Suppose a - 9 = 4*t - 6*t, -4*t + 5*a - 17 = 0. Let n(q) be the first derivative of 0*q**t + 1 + 1/6*q**3 + 0*q - 1/10*q**5 + 0*q**4. Factor n(c).
-c**2*(c - 1)*(c + 1)/2
Let t(y) be the second derivative of -y**8/2352 - y**7/1470 - y**2 + 3*y. Let l(s) be the first derivative of t(s). Factor l(a).
-a**4*(a + 1)/7
Let v(z) = z**3 - 3*z**2 - 5*z + 6. Let h = -20 + 24. Let o be v(h). Factor o*b - 4/3 - 2/3*b**2.
-2*(b - 2)*(b - 1)/3
Let i(j) be the second derivative of -j**7/378 - 2*j**6/135 - j**5/36 - j**4/54 + 8*j. Let i(u) = 0. What is u?
-2, -1, 0
Let c = -8 - -10. Let d(o) be the second derivative of 0 + 0*o**c - 1/12*o**4 + 1/6*o**3 - 2*o. Let d(m) = 0. What is m?
0, 1
Let h(u) be the second derivative of 1/27*u**4 - 1/27*u**3 + u + 0*u**2 + 0 - 1/90*u**5. Determine s so that h(s) = 0.
0, 1
Let p(c) be the third derivative of c**8/1008 + c**7/210 - c**6/360 - 7*c**5/180 + 2*c**3/9 - 5*c**2. Determine l so that p(l) = 0.
-2, -1, 1
Let h(w) be the third derivative of w**6/60 - 2*w**5/45 - w**4/9 + 5*w**2. Factor h(p).
2*p*(p - 2)*(3*p + 2)/3
Let c(w) be the first derivative of -w**4/8 + w**2/4 - 15. Determine v so that c(v) = 0.
-1, 0, 1
Let q(k) be the third derivative of k**7/10 + k**6/8 - k**5/10 - 7*k**2. Factor q(z).
3*z**2*(z + 1)*(7*z - 2)
Let c(t) be the first derivative of -2*t**3/21 - 3*t**2/7 - 4*t/7 + 21. Find g such that c(g) = 0.
-2, -1
Let f(l) = l**3 + 11*l**2 - 3*l + 3. Let z = 32 - 29. Let i(n) = 2*n**3 + 10*n**2 - 2*n + 2. Let x(y) = z*i(y) - 2*f(y). What is c in x(c) = 0?
-2, 0
Let a(p) = p + 2. Let x be a(-2). Let c(l) be the second derivative of x*l**3 - 1/30*l**6 + 0 + 1/6*l**4 - 1/2*l**2 + l + 0*l**5. Factor c(y).
-(y - 1)**2*(y + 1)**2
Let r(h) be the first derivative of 2*h**3/15 - 8*h**2/5 + 32*h/5 + 13. Factor r(t).
2*(t - 4)**2/5
Factor -6 + 0 + 3*x**3 - 6*x**2 + 6.
3*x**2*(x - 2)
Let t = 22 - 19. Let k(q) be the first derivative of -3/2*q**4 - 2/3*q**t - 6/5*q**5 + 0*q**2 - 1/3*q**6 + 1 + 0*q. Factor k(z).
-2*z**2*(z + 1)**3
Solve 0*r + 0 + 6/7*r**5 - 2/7*r**2 + 2/7*r**4 - 6/7*r**3 = 0.
-1, -1/3, 0, 1
Let p(l) = -2*l**2 - 4*l. Let x be p(-3). Let a(b) = -b**2 - 6*b + 2. Let m be a(x). Factor 0*z**3 - 4*z**2 + 2*z**3 + m*z**2.
2*z**2*(z - 1)
Solve 1/3*d**2 - 1/3*d - 1/3*d**4 + 0 + 1/3*d**3 = 0.
-1, 0, 1
Let n be 4/(-3) - 888/(-612). Let -2/17*p + 4/17*p**2 - 4/17 + n*p**3 = 0. Calculate p.
-2, -1, 1
Let u(h) be the second derivative of 0*h**3 + 0 - h + h**2 + 1/240*h**5 - 1/96*h**4. Let o(v) be the first derivative of u(v). Factor o(m).
m*(m - 1)/4
Suppose 185 = 18*g + 19*g. Factor -2/5*x**4 + 0*x**3 + 0 - 1/5*x**g + 2/5*x**2 + 1/5*x.
-x*(x - 1)*(x + 1)**3/5
Let a(m) be the first derivative of -3/2*m**6 + 0*m - 9 + 33/5*m**5 + 3*m**2 + m**3 - 33/4*m**4. What is u in a(u) = 0?
-1/3, 0, 1, 2
Let o(p) = -3*p + 30. Let u be o(9). Let b(l) be the second derivative of -3/4*l**3 + 1/8*l**4 + 0 + u*l + 3/2*l**2. Determine r so that b(r) = 0.
1, 2
Determine d, given that -1 - 3/2*d + d**2 + 2*d**3 + 0*d**4 - 1/2*d**5 = 0.
-1, 1, 2
Let h be 3 - (2 - (5 - 2)). Let u(y) = 4*y**3 - 4*y**2 - 2*y. Let v(m) = -5*m**3 + 5*m**2 + m. Let o(f) = h*v(f) + 6*u(f). Find r, given that o(r) = 0.
-1, 0, 2
Suppose -5 - 1 = 2*z + 3*a, -5*a - 11 = 3*z. Let -3/5*x**z - 6/5*x + 0 + 9/5*x**2 = 0. What is x?
0, 1, 2
Let 2/13*l**3 + 10/13*l**2 + 8/13 + 16/13*l = 0. What is l?
-2, -1
Let k(f) be the third derivative of f**5/50 - f**3/5 - 4*f**2. Find i such that k(i) = 0.
-1, 1
Let d(v) be the third derivative of -v**7/210 - v**6/24 - 3*v**5/20 - 7*v**4/24 - v**3/3 + 2*v**2. What is o in d(o) = 0?
-2, -1
Let l(m) be the third derivative of 0*m + 1/84*m**4 + 0 - 3*m**2 + 2/21*m**3 - 1/210*m**5. Solve l(r) = 0 for r.
-1, 2
Let q be 105/25 + (-12)/(-15). Let x(v) be the third derivative of 1/30*v**q + 0 + 0*v + 1/3*v**3 + 1/6*v**4 + v**2. Suppose x(i) = 0. Calculate i.
-1
Let r(p) be the second derivative of 1/20*p**5 - p + 1/12*p**4 + 0 + 0*p**3 + 0*p**2. Find l such that r(l) = 0.
-1, 0
Let b(j) = -5*j**4 + j**3 - 9*j**2. Let a(r) = r**2 - 4*r**2 + 2*r**2 + 0*r**2. Let n(q) = 18*a(q) - 2*b(q). Suppose n(p) = 0. Calculate p.
0, 1/5
Let r(u) = -5*u**2 - 8*u + 2. Let v(i) = -11 - 6*i**2 + 32*i - 25*i + 32*i**2 + 34*i. Let o(q) = -11*r(q) - 2*v(q). Factor o(z).
3*z*(z + 2)
Suppose 0 = 79*d - 62*d - 34. Factor -8/11*n - 8/11*n**d + 0 - 2/11*n**3.
-2*n*(n + 2)**2/11
Factor -2 - 9*q - 7*q**3 - q**3 + 3*q - 12*q**2 - 2*q**4 - 2*q.
-2*(q + 1)**4
Let a(u) = u**3 - 4*u**2 - 5*u + 1. Let m be a(5). Solve -1 - 4*x**3 + m + 11*x - 9*x + 2*x**5 = 0 for x.
-1, 0, 1
Let u(p) be the first derivative of -p**4 - 16*p**3 - 96*p**2 - 256*p + 8. Factor u(v).
-4*(v + 4)**3
Let l be (-2)/7*(51/18 + -4). Let 0 - 2/3*c**3 + 0*c - l*c**4 + 2/3*c**5 + 1/3*c**2 = 0. Calculate c.
-1, 0, 1/2, 1
Let j be (-2)/(-2 + (-4)/(-3)). Determine f, given that 4*f**j - 4*f**3 - 2*f + f + f**3 + 2 - 2*f**2 = 0.
-1, 1, 2
Factor 20*o**3 - 31*o**3 - o + 0*o + 12*o**3.
o*(o - 1)*(o + 1)
Let o = 84 + -250/3. Factor -o*j**2 - 4/3 - 2*j.
-2*(j + 1)*(j + 2)/3
Find a such that -18/11*a**3 - 4/11 + 18/11*a + 26/11*a**2 - 2*a**4 = 0.
-1, 2/11, 1
Let l be -1 + 1 + 9/3. Suppose 7 + l = 2*z. Factor -z*c**4 + 0*c**5 + 3*c**3 - c + c**2 + 2*c**5 - c + c.
c*(c - 1)**3*(2*c + 1)
Solve -6*z**4 + 21*z**4 - 16*z**4 = 0 for z.
0
Determine a so that 3/