/3*l**a - 2/3*l**2 + 0 = 0.
0, 1
Suppose -2*i - 6 = -3*b + i, 3*i = 4*b - 13. Let z = -5 + b. What is g in 8/7 + 2/7*g**z - 8/7*g = 0?
2
Let h(k) = -k**2 - 11*k - 10. Let q be h(-9). Let d = -6 + q. Factor -4/7*f + 2/7*f**d + 2/7.
2*(f - 1)**2/7
Determine n, given that -11/3*n**3 - 32/3 - 14*n**2 - 64/3*n - 1/3*n**4 = 0.
-4, -2, -1
Factor -9*p - 18*p**2 + 28*p**4 - 20*p**3 + 24*p - 18*p**2 + 8 + 5*p.
4*(p - 1)**2*(p + 1)*(7*p + 2)
Suppose 0 = -4*p + 11*p. Let q(u) be the first derivative of 1/5*u**2 - 2/15*u**3 - 1 + p*u. Determine f so that q(f) = 0.
0, 1
Let u be (1/3)/((-3)/(-63)). Let t = u + -3. Factor q**5 - 6*q**4 + 3*q**t + 0*q**4 + 2*q**4.
q**4*(q - 1)
Let x(d) be the first derivative of -4*d**4 + 20*d**3/3 + 14*d**2 - 8*d - 2. Factor x(l).
-4*(l - 2)*(l + 1)*(4*l - 1)
Let n(p) be the second derivative of p**9/3024 - p**8/1680 - 3*p**3/2 - p. Let y(d) be the second derivative of n(d). Solve y(v) = 0 for v.
0, 1
Factor 2/7*w**5 + 12/7*w**3 + 0 + 2/7*w - 8/7*w**4 - 8/7*w**2.
2*w*(w - 1)**4/7
Let u be 372/70 + (-16)/(-56). Let u*l**2 - 32/5*l**4 - 14/5*l**5 + 4/5 + 22/5*l - 8/5*l**3 = 0. Calculate l.
-1, -2/7, 1
Let v(k) be the first derivative of 3*k**5/5 - 3*k**4/2 + 3*k**2 - 3*k + 5. What is p in v(p) = 0?
-1, 1
Let h be (-1 + 4/4)/(-2). Let l(a) be the second derivative of -5/9*a**3 + 2/9*a**4 + h - 1/30*a**5 - 3*a + 2/3*a**2. Suppose l(s) = 0. Calculate s.
1, 2
Let b be (-3 + 7/2)*-6. Let p(c) = c + 6. Let i be p(b). Solve -o**2 - 2*o**i + 3*o**2 + o**2 - 5*o**2 = 0 for o.
-1, 0
Let u = 3 - 1. Suppose -b = -5*b + 4*p + 24, 5*p + 2 = -u*b. Factor -5 - 1 - 3*v**b + 6 + 3*v**3.
-3*v**3*(v - 1)
Let f = -136 + 138. Let h(y) be the first derivative of -2/3*y - f + 7/6*y**2 - 5/9*y**3. Factor h(d).
-(d - 1)*(5*d - 2)/3
Let a(z) be the first derivative of -98*z**5/55 - 35*z**4/11 + 2*z**3/11 + 20*z**2/11 - 8*z/11 + 3. Factor a(c).
-2*(c + 1)**2*(7*c - 2)**2/11
Suppose 5 = 4*g + 1. Let b = g + 0. Let x(j) = j**2 + j + 1. Let w(d) = 4*d**2 + 3*d + 3. Let k(q) = b*w(q) - 3*x(q). Factor k(t).
t**2
Find i, given that 12*i + 1 + 4*i**3 + 11*i**2 + i**2 + 3 = 0.
-1
Let z(w) be the second derivative of 0*w**3 + 0 + 2*w - 1/60*w**4 + 0*w**2. Factor z(d).
-d**2/5
Let o(y) be the second derivative of -y**7/42 - 17*y**6/90 - 7*y**5/15 + 16*y**3/9 + 8*y**2/3 - 13*y. Let o(t) = 0. What is t?
-2, -2/3, 1
Suppose 0 = 4*c - 3*f + 40, c + c - 2*f + 22 = 0. Let z = -5 - c. Factor -1/4*p**z + 0 + 1/4*p.
-p*(p - 1)/4
Let o(i) = -10*i**2 - 29*i - 17. Let a(u) = 5*u**2 + 14*u + 9. Let q(t) = -5*a(t) - 3*o(t). Determine s so that q(s) = 0.
-3, -2/5
Factor 10 - 11*k - 55*k**2 + 14*k - 48*k.
-5*(k + 1)*(11*k - 2)
Suppose 0*t + 13 = -t - 5*z, 8 = -2*t - 4*z. Suppose 3*k = 2*k + t. Solve 2 - 4*n**2 + 5*n**k - 2*n + 1 - 2 = 0 for n.
1
Let f(d) be the second derivative of 3*d + 0*d**2 + 1/9*d**4 + 0 - 1/18*d**3. Let f(b) = 0. What is b?
0, 1/4
Let o(b) be the second derivative of -b**5/210 + b**3/21 - 5*b**2/2 - 6*b. Let y(f) be the first derivative of o(f). Let y(w) = 0. What is w?
-1, 1
Let a(m) be the first derivative of 3*m**4/2 - 4*m**3/3 - m**2 + 12. Suppose a(q) = 0. Calculate q.
-1/3, 0, 1
Let z = 28/3 + -55/6. Let c(u) be the second derivative of z*u**4 + 1/5*u**5 + 1/15*u**6 + 0*u**2 - u + 0*u**3 + 0. Find h such that c(h) = 0.
-1, 0
Let 8/7*l - 4/7 - 4/7*l**2 = 0. Calculate l.
1
Let v = -1/2251 + 2419/378168. Let g(n) be the third derivative of v*n**4 + 0*n**3 + 0*n**5 + 0 + 0*n - 3*n**2 - 1/840*n**6. What is c in g(c) = 0?
-1, 0, 1
Let a(n) be the second derivative of -n**6/540 + n**4/108 + n**2/2 + n. Let g(c) be the first derivative of a(c). Suppose g(w) = 0. Calculate w.
-1, 0, 1
Let -1/2*v**2 + 5*v - 25/2 = 0. Calculate v.
5
Let m(v) be the first derivative of 2*v**3/3 - v**2/3 - 4*v/3 + 12. Let m(g) = 0. Calculate g.
-2/3, 1
Let c(h) be the first derivative of -h**4/2 + h**2 + 1. Factor c(u).
-2*u*(u - 1)*(u + 1)
Let z(m) = -6*m**4 + 5*m**3 + 4*m**2 + 5*m - 5. Let t(y) = y**4 - y**3 - y + 1. Let v(g) = 15*t(g) + 3*z(g). Factor v(w).
-3*w**2*(w - 2)*(w + 2)
Suppose -7 = 3*z + 20. Let u = z + 12. Factor 1/2*a**u + 0*a**2 - 1/4*a**4 + 0*a + 0.
-a**3*(a - 2)/4
Let r(w) be the first derivative of 3 - w**2 + 8/3*w**3 + 0*w. Solve r(i) = 0.
0, 1/4
Factor 72/5 - 24/5*k + 2/5*k**2.
2*(k - 6)**2/5
Let i = 6261/13 - 481. Let l = i - -2/39. Factor 0*j + 2/3*j**2 + l*j**4 - 4/3*j**3 + 0.
2*j**2*(j - 1)**2/3
Let d(q) be the second derivative of -q**6/135 - q**5/45 + 2*q**3/27 + q**2/9 + 7*q. Factor d(r).
-2*(r - 1)*(r + 1)**3/9
Let b(w) be the first derivative of -w**3/2 - 3*w**2/2 - 12. Factor b(s).
-3*s*(s + 2)/2
Let o(k) be the second derivative of -4/9*k**3 - 1/60*k**5 + 5/36*k**4 + 0 + 2/3*k**2 + 3*k. Suppose o(m) = 0. What is m?
1, 2
Let y = -1 + 6. Factor -2*r**4 + y*r**4 + 0*r**2 + 3*r**2 - 6*r**3 + 0*r**3.
3*r**2*(r - 1)**2
Let k(f) be the first derivative of 1/27*f**6 + 2/9*f**5 + 0*f**2 + 6 + 4/9*f**4 + 0*f + 8/27*f**3. Factor k(b).
2*b**2*(b + 1)*(b + 2)**2/9
Let z be 6/24 - (-7)/(-30). Let q(t) be the third derivative of -z*t**6 + 0*t**3 + 0 + 1/30*t**5 + 2*t**2 + 0*t**4 + 0*t. What is m in q(m) = 0?
0, 1
Let m be 2/((-10)/3)*160/(-48). Factor -1/5*r**m + 0 + 2/5*r**3 - 1/5*r**4 + 0*r.
-r**2*(r - 1)**2/5
Let a(u) = -u**3 + 9*u**2 + 23*u - 9. Let y be a(11). Let -4/7 - 2/7*t**y - 6/7*t = 0. Calculate t.
-2, -1
Let r = 75 - 70. Let a**3 + a**2 + 1/2*a**r - 3/2*a**4 + 1/2 - 3/2*a = 0. Calculate a.
-1, 1
Let s(b) be the third derivative of -b**5/240 - b**4/48 + 21*b**2. Factor s(i).
-i*(i + 2)/4
Suppose -5 + 0 = -5*m, 13 = 3*y + m. Let q(b) be the first derivative of 0*b**2 + 3/10*b**y + 8/5*b - 14/15*b**3 + 1. Factor q(s).
2*(s - 2)*(s - 1)*(3*s + 2)/5
Suppose y = -2*y - 5*p - 11, -12 = 3*p. Factor 0 - 1/3*b**2 - 1/3*b**y + 1/3*b**5 + 0*b + 1/3*b**4.
b**2*(b - 1)*(b + 1)**2/3
Let a be 1260/585 - 4/2. Solve 2/13*q**4 - 2/13*q**2 - 2/13*q**3 + a*q + 0 = 0 for q.
-1, 0, 1
Factor 14*s**3 + 19*s**3 - 53*s**3 - 16*s**2 + 20*s - 8 + 24*s**3.
4*(s - 2)*(s - 1)**2
Let j(z) be the first derivative of -z**6/900 - z**5/150 - z**4/60 - z**3 + 3. Let a(l) be the third derivative of j(l). Suppose a(b) = 0. What is b?
-1
Factor -6*k**4 + 3*k**3 + 355*k**2 - 355*k**2.
-3*k**3*(2*k - 1)
Let i be 3 + 0/(3 - -1). Factor 2 + 7*o**3 - 10*o + 0*o - 4*o + 30*o**2 - 33*o**i + 8*o**4.
2*(o - 1)**3*(4*o - 1)
Suppose -295*b - 3 = -296*b. Factor 0 - b*t**3 - 7/4*t**2 - 1/4*t.
-t*(3*t + 1)*(4*t + 1)/4
Find a, given that 2 + 1/2*a**2 - 2*a = 0.
2
Let h(c) = -c**2 - 5*c - 3. Let x(i) = -3*i**2 - 11*i - 7. Let q be 1/(-3 + 20/6). Let p(g) = q*x(g) - 7*h(g). Factor p(d).
-2*d*(d - 1)
Suppose -3*n + 12 = -3*w, -3*n - 3*w = -2*n. Solve 0 - 1/3*f**n - f**2 - 2/3*f = 0 for f.
-2, -1, 0
Let j(l) = -l**3 - 3*l**2 + 4*l + 2. Let y be j(-4). Determine z so that -5*z**2 + 4*z + 3*z**2 - y*z**2 + 3 + 5*z**2 = 0.
-3, -1
Let n(p) be the third derivative of p**6/120 - 2*p**5/15 + 13*p**4/24 - p**3 + 8*p**2. What is j in n(j) = 0?
1, 6
Let j(m) be the second derivative of m**6/270 + m**5/90 - 7*m**4/108 + 2*m**3/27 + 36*m. Let j(n) = 0. What is n?
-4, 0, 1
Let r(l) be the first derivative of -l**3/9 + l**2/6 + 2*l/3 + 3. Factor r(q).
-(q - 2)*(q + 1)/3
Let u(p) be the second derivative of p**4/26 - 4*p**3/39 - 4*p**2/13 - 23*p. Factor u(i).
2*(i - 2)*(3*i + 2)/13
Let h(v) be the first derivative of -v**6/2 + 3*v**4/4 + 7. Solve h(l) = 0.
-1, 0, 1
Let r(k) = 11*k**4 - 41*k**3 + 74*k**2 - 60*k. Let q(j) = 32*j**4 - 122*j**3 + 223*j**2 - 180*j. Let c(n) = 6*q(n) - 17*r(n). Factor c(a).
5*a*(a - 3)*(a - 2)**2
Suppose 6 = 3*l - 21. Suppose -l = -3*i - 3*t, 3*i + 2*i - t - 9 = 0. What is g in 0*g + 1 + 3*g - g + g**i = 0?
-1
Solve -1 + 3/4*x**2 - 1/4*x**4 - x + 1/2*x**3 = 0.
-1, 2
Factor 1/7*y + 2/7*y**2 + 1/7*y**3 + 0.
y*(y + 1)**2/7
Let s be (1 + 1905)/(-3*3). Let r = s - -212. Factor -2/9 - r*z**2 + 4/9*z.
-2*(z - 1)**2/9
Let s be ((-6)/10)/((-2)/10). Let n(f) = f**2 + 3*f - 2. Let c be n(-4). Factor -1 - t + 2*t**s - c*t**2 + 2*t**5 + t**4 - 3*t**5 + 2.
-(t - 1)**3*(t + 1)**2
Factor 8*c**4 + 20*c - 48*c**2 + 25*c**3 - 15*c**4 + 128*c**2 - 28*c**4.
-5*c*(c - 2)*(c + 1)*(7*c + 2)
Determine j so that 56*j**3 - 71*j**2 - 144 + 129*j + 207*j - 4*j**4 + 58*j**2 - 231*j**2 = 0.
1, 6
Let s(x) be the first der