**4 - 1 - 1/5*x**5 - 1/3*x**3 + 0*x. Solve m(l) = 0 for l.
0, 1
Suppose 76*g - 16 = 72*g. Let l(j) be the first derivative of -3/2*j**3 + 2 - 3/2*j + 3/8*j**g + 9/4*j**2. Factor l(s).
3*(s - 1)**3/2
Let m(k) be the third derivative of -k**6/540 + k**4/108 - 3*k**2. Factor m(n).
-2*n*(n - 1)*(n + 1)/9
Let q(w) be the first derivative of w**3 - 3*w**2/2 - 6*w - 3. Factor q(v).
3*(v - 2)*(v + 1)
Let u(g) be the second derivative of g**7/1260 - g**6/120 + g**5/30 - g**4/4 + 6*g. Let k(m) be the third derivative of u(m). What is z in k(z) = 0?
1, 2
Let p be 0 - (-20)/5 - 0. Let s(r) be the third derivative of 0 + 0*r + 1/24*r**p + 1/20*r**5 + 1/96*r**6 + 3*r**2 + 0*r**3. Find g, given that s(g) = 0.
-2, -2/5, 0
Suppose 2*x - 23 = 3*s, 6*x + 2*s = x + 67. Suppose 3*b + 4 = x. Solve -6*w**2 - 24*w**b + 0 - 8*w + 1 + 9*w**4 + 28*w**2 = 0 for w.
1/3, 1
Solve 4/5*i - 1/5*i**3 - 4/5 + 1/5*i**2 = 0.
-2, 1, 2
Factor 5*y**2 + 50*y + 0*y**2 + 125 - 4*y**2 + 4*y**2.
5*(y + 5)**2
Suppose 0 = l - 3 - 1. Factor 0*g**4 + 3 - 6*g**4 + 9*g**3 + 6*g**3 - 9*g**2 - l*g + g.
-3*(g - 1)**3*(2*g + 1)
Let k(s) be the first derivative of -s**7/21 - s**6/15 + s**5/10 + s**4/6 - 4*s - 3. Let p(j) be the first derivative of k(j). Suppose p(i) = 0. Calculate i.
-1, 0, 1
Let j be 9/45 + (-4)/(60/(-27)). Factor -2/13*u**j + 0 - 2/13*u.
-2*u*(u + 1)/13
Suppose -4 = y + 5*g + 9, 21 = 3*y - 5*g. Solve -f - f + 3 + 8*f + 1 + 2*f**y = 0.
-2, -1
Let h = -13 - -15. Factor -4*u + 2*u**3 - 1 + 2*u**2 - h*u**4 - 1 + 2*u**2 + 3*u - u**5.
-(u - 1)**2*(u + 1)**2*(u + 2)
Suppose p + 3*b = -48, -p = -5*p - 2*b - 152. Let h be 3/3 - (-28)/p. Suppose -2/3*m**3 + h*m**2 - 2/9 + 2/3*m = 0. What is m?
-1, 1/3, 1
Solve 2/9*g**2 + 0 + 0*g - 4/9*g**3 + 2/9*g**4 = 0 for g.
0, 1
Let r(k) be the second derivative of -k**4/12 - 11*k. Factor r(b).
-b**2
Let g = 3/20 - -53/20. Factor 2/5*k + 4/5*k**2 + 0 + 8/5*k**4 - g*k**3.
2*k*(k - 1)**2*(4*k + 1)/5
Let m(o) = o**3 - 6*o**2 + 8*o + 3. Let q be m(4). Suppose -2*w - 2*w**2 - 2/3 - 2/3*w**q = 0. Calculate w.
-1
Let p(l) be the first derivative of -l**4/10 + l**2/5 - 2. Factor p(x).
-2*x*(x - 1)*(x + 1)/5
Let m(f) be the third derivative of f**7/210 - f**6/120 - f**5/60 + f**4/24 + 10*f**2. Suppose m(j) = 0. What is j?
-1, 0, 1
Suppose -77*x - 5*x**5 - 125 + 65*x - 170*x**3 + 88*x**2 + 55*x**4 - 18*x**2 + 187*x = 0. Calculate x.
-1, 1, 5
Let p = 25/84 + -1/21. Let r(k) be the first derivative of -p*k**2 - 1 - 3/16*k**4 + 0*k + 5/12*k**3. Determine j so that r(j) = 0.
0, 2/3, 1
Let n(d) be the first derivative of -d**7/420 + d**5/20 + d**4/6 + 2*d**3/3 + 3. Let b(q) be the third derivative of n(q). Factor b(p).
-2*(p - 2)*(p + 1)**2
Let s(m) = -m**2. Let u(q) = q**3 - 11*q**2 + q. Let v(r) = -36*s(r) + 4*u(r). Determine o, given that v(o) = 0.
0, 1
Let u(s) be the third derivative of -s**7/210 + s**6/30 - s**5/15 + 2*s**2. Factor u(w).
-w**2*(w - 2)**2
Let m(j) be the second derivative of -j**6/40 + 9*j**5/80 - 3*j**4/16 + j**3/8 - 5*j. Factor m(r).
-3*r*(r - 1)**3/4
Let u(h) = 2*h**2 + 2*h. Let j be u(-2). Factor 5*a**2 - 22*a + 21*a - j*a**2.
a*(a - 1)
Let j(t) = -t. Let g(r) = r - 11. Let x be g(10). Let v(f) = f**2 + 2*f - 1. Let m(l) = x*v(l) - 2*j(l). Factor m(h).
-(h - 1)*(h + 1)
Let j(y) be the first derivative of -8*y - 3 + 8/3*y**3 - y**4 + 2*y**2. Solve j(q) = 0.
-1, 1, 2
Let m(k) be the third derivative of -2*k**2 - 1/132*k**4 + 0*k**3 - 4/1155*k**7 + 0 + 1/616*k**8 - 1/330*k**6 + 0*k + 2/165*k**5. Let m(l) = 0. Calculate l.
-1, 0, 1/3, 1
Suppose -5*s - 81 = 3*y - 22, 3*y = -4*s - 46. Let v = s - -17. Factor -2*k - 2/5 - 4*k**2 - v*k**3 - 2*k**4 - 2/5*k**5.
-2*(k + 1)**5/5
Let x(q) = -q**2 - 5*q. Let y be 20/(-6)*12/10. Let c be x(y). Determine k so that 0*k**c + k + 2*k**4 + k**5 + 6*k**3 + 4*k**2 + 2*k**4 = 0.
-1, 0
Let x = 1 + -1. Let k = -4343/3 - -1448. Factor 0*r + 0*r**2 + 1/3*r**4 + x + k*r**3.
r**3*(r + 1)/3
Let h(t) be the third derivative of -t**8/112 - t**7/70 + t**6/40 + t**5/20 - 4*t**2. Suppose h(o) = 0. What is o?
-1, 0, 1
Factor 5/3*x + 5*x**3 + 5/3*x**4 + 0 + 5*x**2.
5*x*(x + 1)**3/3
Let x = 1/10252 + -6110201/92268. Let w = -66 - x. What is k in -w*k**2 + 2/3*k - 4/9 = 0?
1, 2
Let y(n) = 2*n**2. Let r(f) = f**2. Let q(d) = -3*r(d) + 3*y(d). Factor q(t).
3*t**2
Let n(z) be the first derivative of z**8/6720 - z**7/1680 + z**6/1440 + 5*z**3/3 - 1. Let r(k) be the third derivative of n(k). Find l such that r(l) = 0.
0, 1
Suppose 2*z**3 - 12*z - z**2 - 15 + 15 + 3*z**2 = 0. What is z?
-3, 0, 2
Let k(a) be the second derivative of a**4/24 - a**3/6 - 3*a**2/4 + 10*a. Factor k(f).
(f - 3)*(f + 1)/2
Let h(z) = -15*z - 41. Let u be h(-3). Determine i, given that -9/5*i**u - 3/5*i**2 + 3/5*i - 3*i**3 + 0 = 0.
-1, 0, 1/3
Let j be 1 + 0/4 + -9. Let m(k) = k**3 + 9*k**2 + 8*k + 3. Let p be m(j). Factor v**2 - 1/2 + 0*v - 1/2*v**4 + 0*v**p.
-(v - 1)**2*(v + 1)**2/2
Factor -1/3*w**3 - 1/6*w**2 + 0*w - 2/3*w**5 + 0 + 7/6*w**4.
-w**2*(w - 1)**2*(4*w + 1)/6
Let c(i) be the first derivative of 3*i**3/5 - 3*i**2/2 + 6*i/5 - 3. Factor c(m).
3*(m - 1)*(3*m - 2)/5
Suppose -5*r - 15 = 4*h, 3*h - 3 = -4*r - 15. Let z(t) be the first derivative of 2/27*t**3 + h*t + 1 + 0*t**2. Factor z(y).
2*y**2/9
Let r = -2 - 31. Let v = r - -100/3. Factor -3 - v*h**2 - 2*h.
-(h + 3)**2/3
Let w(i) be the third derivative of i**5/75 - i**4/30 - 4*i**3/15 + 2*i**2. Factor w(z).
4*(z - 2)*(z + 1)/5
Let h be 2/2*((-3)/9 + 1). Let c(k) be the first derivative of h*k + 1/9*k**3 - 1/2*k**2 - 2. Find j, given that c(j) = 0.
1, 2
Factor -3 - 3/2*a**2 + 9/2*a.
-3*(a - 2)*(a - 1)/2
Determine q so that -9/5*q - 3/5*q**2 - 6/5 = 0.
-2, -1
Let n = 137/3 + -409/9. Find g such that -2/9*g**3 - n*g**4 + 2/3*g**2 - 4/9 + 2/9*g = 0.
-2, -1, 1
Let v(a) be the third derivative of -a**10/136080 + a**8/15120 - a**6/3240 + a**4/12 - 3*a**2. Let f(t) be the second derivative of v(t). Factor f(x).
-2*x*(x - 1)**2*(x + 1)**2/9
Let c(s) be the third derivative of -17*s**5/60 + s**4/24 + 13*s**3/3 + 4*s**2. Let g(d) = 6*d**2 - 9. Let f(p) = -3*c(p) - 8*g(p). Factor f(t).
3*(t - 2)*(t + 1)
Let y(s) be the first derivative of 0*s + 2 + 3/10*s**5 + 3/8*s**4 + 0*s**2 + 1/12*s**6 + 1/6*s**3. Factor y(o).
o**2*(o + 1)**3/2
Let p(x) be the second derivative of 2/3*x**3 + 4*x + 0 - 1/3*x**4 + 0*x**2. Suppose p(d) = 0. What is d?
0, 1
Factor -1/4 - 5/8*q - 1/8*q**3 - 1/2*q**2.
-(q + 1)**2*(q + 2)/8
Let m(w) be the third derivative of w**9/22680 + w**8/5040 - w**6/540 - w**5/180 - w**4/8 - w**2. Let t(p) be the second derivative of m(p). Factor t(r).
2*(r - 1)*(r + 1)**3/3
Let m(c) = c**3 - c**2 + 1. Let n(d) = d**3 - d**2 - d. Let i(q) = 3*q**3 - 2*q**2 - 5*q - 2. Let z(f) = i(f) - 4*n(f). Let o(h) = 4*m(h) + 2*z(h). Factor o(g).
2*g*(g - 1)*(g + 1)
What is m in 8/9*m - 14/9*m**2 + 0 + 2/9*m**4 + 4/9*m**3 = 0?
-4, 0, 1
Let q(u) be the first derivative of -1/2*u**4 + 2 - 4/15*u**3 + u**2 + 4/5*u. Solve q(c) = 0.
-1, -2/5, 1
Let s(a) = -a**2 + 9*a. Let o be s(4). Solve -23 + o + 3*f**3 + 3*f**2 - 3*f + 0*f**3 = 0 for f.
-1, 1
Let i = -9 - -3. Let x(w) = w**3 - 3*w**2 - 3*w. Let o(t) = -t**3 + 3*t**2 + 4*t. Let y(g) = i*x(g) - 5*o(g). Let y(b) = 0. What is b?
0, 1, 2
Suppose 5 = -4*f + 1. Let c be -1 + f/(1/(-4)). Determine j so that -3*j**c - 12*j**2 - 1 - 12*j + 5 - 4 = 0.
-2, 0
Determine u so that 0 - 8/7*u**2 + 0*u + 30/7*u**4 - 8/7*u**3 = 0.
-2/5, 0, 2/3
Let x(i) be the first derivative of 1/2*i**2 + 4 + 2/3*i**3 + 0*i + 1/4*i**4. Let x(d) = 0. Calculate d.
-1, 0
Let l(u) = u**2 + 2*u - 5. Let o be l(-4). Suppose -2/5*x**4 + 0*x**o + 4/5*x**2 - 2/5 + 0*x = 0. What is x?
-1, 1
Determine m, given that -3/5*m**3 - 9/5*m - 3/5 - 9/5*m**2 = 0.
-1
Let q(n) be the third derivative of 0 - 4/735*n**7 + 0*n**5 + 1/588*n**8 + 0*n + 1/210*n**6 - 7*n**2 + 0*n**3 + 0*n**4. Find p such that q(p) = 0.
0, 1
Let y = 120 + -118. Let f(n) be the first derivative of 1/10*n**4 + 1/5*n**y + 3 - 4/15*n**3 + 0*n. Factor f(g).
2*g*(g - 1)**2/5
Let o(h) = h**3 - 2*h**2 + 4. Let r(s) = 0*s**3 + s**3 - s**2 + 1 + 2. Let g(q) = 3*o(q) - 4*r(q). Find z such that g(z) = 0.
-2, 0
Let l(b) = b**2 + 7*b + 4. Let h be l(-7). Suppose -5*y + 5 = -2*q, y = 3*q + 2*y - 1. What is u in q*u - 2*u - 3*u**2 - u**h - 3*u**3 + u = 0?
-1, 0
Let i(