m(h). Let i(n) = 0. Calculate n.
-3
Let r(h) be the first derivative of h**4/20 - 2*h**3/15 + h**2/10 - 2. Determine v so that r(v) = 0.
0, 1
Let f(z) be the first derivative of -z**4/24 + 12. Factor f(a).
-a**3/6
Let i(w) be the third derivative of -w**6/30 - w**5/6 + w**4/4 - w**2. Factor i(p).
-2*p*(p + 3)*(2*p - 1)
Let d = 9/110 + 1917/770. Factor -36/7*u**2 - 3/7*u**5 - d*u**4 + 0 - 39/7*u**3 - 12/7*u.
-3*u*(u + 1)**2*(u + 2)**2/7
Suppose 5*k - 8 = k. Factor l**k - l - 3 + 5 - 4.
(l - 2)*(l + 1)
Solve 1 + 2*i**3 - 2*i**2 + i**4 - 13*i**3 + 11*i**3 = 0.
-1, 1
Let q(f) = -f**4 + f**3 - f**2 - f + 1. Let o(w) = -57*w**4 - 69*w**3 - 40*w**2 - 12*w + 8. Let b(d) = -3*o(d) + 24*q(d). What is x in b(x) = 0?
-1, -2/7, 0
Suppose -5*i = -0*i - 10. Factor r**3 - 2*r**3 - 2*r**4 + 3*r**3 - 2*r**2 - i*r**5 + 4*r**2.
-2*r**2*(r - 1)*(r + 1)**2
Let s = 202/333 + -6/37. Factor 0*x**2 - 2/9*x**4 + s*x**3 + 2/9 - 4/9*x.
-2*(x - 1)**3*(x + 1)/9
Let u(c) be the third derivative of c**8/2520 - c**7/1260 - c**6/1080 - 7*c**4/24 - 4*c**2. Let j(m) be the second derivative of u(m). Factor j(o).
2*o*(o - 1)*(4*o + 1)/3
Let t = 87 - 347/4. Factor 1/2 - 3/4*a + t*a**2.
(a - 2)*(a - 1)/4
Let z(q) = -q**2 + 8*q - 7. Let a(p) = -p**2 - 1. Let l(h) = -h - 9. Let s be l(-7). Let w(n) = s*z(n) - 2*a(n). Factor w(c).
4*(c - 2)**2
Let v = -63/5 - -13. Let 0*b + 4/5*b**3 - v*b**2 + 0 - 2/5*b**4 = 0. Calculate b.
0, 1
Let p be -27*19/(-798) - 1/7. Suppose 1/2*q**2 + p*q + 0 = 0. Calculate q.
-1, 0
Let b(u) = -12*u**5 + 11*u**4 - 2*u**3 - 4*u**2 + 4*u. Let o(f) = f**2 - f. Let t(d) = b(d) + 4*o(d). Factor t(y).
-y**3*(3*y - 2)*(4*y - 1)
Let q = -29/12 - -47/12. Find n, given that -q*n**2 + 0 + 1/4*n**3 + 9/4*n = 0.
0, 3
Factor 3*l**2 + 86 - 6*l - 86.
3*l*(l - 2)
Let f be 4/14 - (-111)/(-21). Let c(g) = -g - 1. Let l(s) = 6*s**3 + 8*s**2 - 13*s - 5. Let w(m) = f*c(m) + l(m). Suppose w(k) = 0. Calculate k.
-2, 0, 2/3
Let h(o) be the second derivative of o**6/195 + o**5/130 - o**4/26 - 5*o**3/39 - 2*o**2/13 - 10*o. Suppose h(x) = 0. Calculate x.
-1, 2
Let b(v) be the first derivative of v**3/18 + v**2/3 + v/2 + 2. Factor b(r).
(r + 1)*(r + 3)/6
Suppose -4*j = -4 - 20. Factor -s**3 - s**2 + s + 7*s**2 - j*s**2.
-s*(s - 1)*(s + 1)
Let g(h) be the first derivative of h**7/840 + h**6/360 + h**3/3 + 3. Let r(s) be the third derivative of g(s). Factor r(b).
b**2*(b + 1)
Let w(a) = 19*a**3 + 9*a**2 - 19*a - 4. Let d(l) = -9*l**3 - 4*l**2 + 9*l + 2. Let f(s) = 5*d(s) + 2*w(s). Factor f(k).
-(k - 1)*(k + 1)*(7*k + 2)
Let b be 2/13 + (-63)/(-13). Let w(t) be the third derivative of 3*t**2 + 1/60*t**6 + 0*t**3 + 0*t + 0 + 0*t**b + 0*t**4. Factor w(p).
2*p**3
Let u be 12/8*6*(-4)/(-18). Let y(x) be the first derivative of -1/20*x**4 - 2/5*x**u + 4/15*x**3 + 1 + 0*x. Solve y(o) = 0.
0, 2
Let q(g) = -7*g**3 - 2*g - 46*g + 32 + 24*g**2 + 3*g**3. Let t(i) = -6*i**3 + 36*i**2 - 72*i + 48. Let a(o) = 8*q(o) - 5*t(o). Suppose a(y) = 0. What is y?
2
Let m = -527/12 - -44. Let h(k) be the first derivative of 0*k + 2 - m*k**3 + 1/8*k**2 - 1/8*k**4. Find s, given that h(s) = 0.
-1, 0, 1/2
Suppose -22 = w - 24. Suppose 4*g + 15 = -4*j - 1, g = w*j + 8. Factor -10/3*f**3 + 0*f - 2*f**4 + g - 4/3*f**2.
-2*f**2*(f + 1)*(3*f + 2)/3
Factor -3*f**2 - f + 6 + 6*f - 2*f.
-3*(f - 2)*(f + 1)
Let c(d) be the second derivative of d**5/300 + d**4/60 - 2*d**2 + 2*d. Let p(m) be the first derivative of c(m). Factor p(a).
a*(a + 2)/5
Suppose -1/4*p**3 + 7/12*p**2 + 1/12 - 5/12*p = 0. What is p?
1/3, 1
Factor 0 + 0*m - 10*m**2 + 10*m**3 - 5/2*m**4.
-5*m**2*(m - 2)**2/2
Let r(m) be the third derivative of -m**8/2520 + m**7/630 - m**6/540 + m**3/6 + 3*m**2. Let y(z) be the first derivative of r(z). Factor y(p).
-2*p**2*(p - 1)**2/3
Suppose 0 = -3*s + 7*s + 200. Let a be (44/s)/(1/(-5)). Find y such that a*y**2 - 32/5*y**3 + 14/5*y**4 - 4/5*y + 0 = 0.
0, 2/7, 1
Let t be (2/(-6))/(8/468). Let n = 20 + t. Determine d, given that 1/2*d**2 - 1/2*d**4 - 1/2*d**3 + 0 + n*d = 0.
-1, 0, 1
Let a(s) be the second derivative of -5*s**4/12 - 5*s**3/3 + 15*s. Find k, given that a(k) = 0.
-2, 0
Let t(r) = r**5 - r**4 - r**3 + r**2 - r. Let n(h) = -12*h**5 + 24*h**4 - 4*h**3 - 24*h**2 + 24*h. Let p(j) = -n(j) - 8*t(j). Factor p(m).
4*m*(m - 2)**2*(m - 1)*(m + 1)
Let j be (0 + 0)/3 + 1. Let p = j + 4. Factor -7*q**3 + 2*q**p + q**3 + q**5 - 3*q**4.
3*q**3*(q - 2)*(q + 1)
Let h(i) be the first derivative of 4 + 0*i - 1/10*i**2 - 1/25*i**5 + 1/20*i**4 + 1/15*i**3. Let h(n) = 0. Calculate n.
-1, 0, 1
Let f(h) be the second derivative of -3/80*h**5 - 1/24*h**3 + 2*h + 1/16*h**4 + 1/120*h**6 + 0 + 0*h**2. Factor f(s).
s*(s - 1)**3/4
Let i = -3 - -4. Let a(o) = 1 + i - 5 - 2*o**3 - o. Let g(u) = -u**3 - u**2 - u - 1. Let r(k) = -a(k) + 3*g(k). Factor r(p).
-p*(p + 1)*(p + 2)
Let b(t) be the first derivative of -t**3 - 2*t - 1/2*t**2 - 1. Let l(m) = 4*m**2 + m + 3. Let y(s) = 6*b(s) + 4*l(s). Factor y(u).
-2*u*(u + 1)
Let h be 5 - (0 + 1) - 0. Let c = 204 - 201. What is j in 0*j + 0 + 2/7*j**5 + 0*j**c + 0*j**2 + 0*j**h = 0?
0
Let f(m) be the second derivative of m**5/4 - 5*m**4/12 - 17*m. Find t, given that f(t) = 0.
0, 1
Let g(u) be the first derivative of u**4/2 - 10*u**3/3 + 3*u**2 + 18*u - 52. Factor g(h).
2*(h - 3)**2*(h + 1)
Determine s so that -4/5*s + 0 + 1/5*s**2 = 0.
0, 4
Factor 17*p**3 + 5*p**4 - 7*p**3 - p**4 - 2*p**3 - 4*p**5.
-4*p**3*(p - 2)*(p + 1)
Solve p**5 - p**4 - 4*p**5 + 15*p**3 - 9*p**2 + 0*p**5 - 2*p**4 = 0.
-3, 0, 1
Let m(d) = -4*d**3 + 9*d**2 - d - 9. Suppose -4*k - k - 60 = 0. Let p(g) = -10*g**3 + 22*g**2 - 2*g - 22. Let j(b) = k*m(b) + 5*p(b). Factor j(n).
-2*(n - 1)**2*(n + 1)
Let g(v) = v**2 + v**3 + 2*v**2 - 3 + 1. Let k be g(-2). Factor -u**4 - 5 + 4 + 0*u**2 + 2*u**k.
-(u - 1)**2*(u + 1)**2
Suppose -4*h - 10 = 6. Let s be 2/((-42)/(-9) + h). Factor 0*g**s - 4/9*g**4 + 2/9*g + 0 + 4/9*g**2 - 2/9*g**5.
-2*g*(g - 1)*(g + 1)**3/9
Let t(s) = -s**3 + 5*s**2 - 4. Let l be t(5). Let g be 35/10 - (-6)/l. Suppose 2*r**g + 2*r**4 + 3*r**3 + 1/2*r + 0 + 1/2*r**5 = 0. Calculate r.
-1, 0
Let a = 9 + -9. Let n(l) be the first derivative of a*l - l**2 + 1/3*l**6 - 4/5*l**5 + 0*l**4 + 4/3*l**3 - 1. Factor n(h).
2*h*(h - 1)**3*(h + 1)
Let h(i) be the third derivative of 0*i - 3*i**2 + 1/10*i**5 + 2/105*i**7 - 1/12*i**4 + 0 - 1/3*i**3 + 1/12*i**6. Determine f so that h(f) = 0.
-1, 1/2
Let m(s) be the third derivative of 0*s**3 + 0*s + 0*s**4 + 1/1575*s**7 + 1/900*s**6 + 0 + 0*s**5 + 5*s**2. Factor m(f).
2*f**3*(f + 1)/15
Let l(h) = -h**4 - 2*h**3 + 10*h + 1. Let p(d) = d. Let y(u) = 3*l(u) - 24*p(u). Solve y(k) = 0 for k.
-1, 1
Let j(s) = 11*s**3 + 12*s**2 - 47*s + 24. Let i(n) = -5*n**3 - 6*n**2 + 23*n - 12. Let h(o) = -5*i(o) - 2*j(o). Determine c so that h(c) = 0.
-4, 1
Let i(d) be the first derivative of 0*d - 2*d**2 + 2 + 8/3*d**3 + 2/3*d**6 - 8/5*d**5 + 0*d**4. Find s such that i(s) = 0.
-1, 0, 1
Let i be (-3)/30*(-50)/4. Let l(a) be the first derivative of -2*a - 2 - 1/2*a**2 + 8/3*a**3 - i*a**4. Suppose l(c) = 0. Calculate c.
-2/5, 1
Find z such that -2/7*z**2 - 10/7*z - 8/7 = 0.
-4, -1
Let j(t) be the second derivative of t**9/22680 + t**8/5040 + t**7/3780 - t**4/12 - 7*t. Let w(q) be the third derivative of j(q). Solve w(s) = 0.
-1, 0
Let 6/5*i**3 + 12/5 + 3*i**4 + 12/5*i - 9*i**2 = 0. Calculate i.
-2, -2/5, 1
Suppose 0 = 21*p - 32*p + 22. Determine g, given that 0 - 2*g**4 - 1/2*g**5 - 1/2*g - 3*g**3 - 2*g**p = 0.
-1, 0
Let f(o) = -3*o**4 + 6*o**3 - 3*o**2 + 2. Let d(b) = b**4 - b**3 - 1. Let m(u) = 2*d(u) + f(u). Suppose m(i) = 0. What is i?
0, 1, 3
What is t in -8/13*t**3 + 4/13*t - 6/13 + 10/13*t**2 = 0?
-3/4, 1
Suppose -4 = -r - 0*r. Find u such that 2*u + 0 + 1 - 2*u**3 + 0*u - 5*u**4 + 4*u**r = 0.
-1, 1
Determine s, given that 4/9*s**3 + 2/9 - 4/9*s + 0*s**2 - 2/9*s**4 = 0.
-1, 1
Let b(f) be the first derivative of f**6/540 - f**5/45 + f**4/9 - 8*f**3/27 + f**2/2 - 1. Let d(i) be the second derivative of b(i). What is t in d(t) = 0?
2
Suppose 32 - 5*h - 12 + 5*h**2 - 25 + 5*h**3 = 0. Calculate h.
-1, 1
Let r = 8 + -6. Factor -r*i**2 + 4*i**3 + 8*i**2 + 1 - 6*i - 5.
2*(i - 1)*(i + 2)*(2*i + 1)
Let l(j) be the second derivative of j**8/56 + j**7/14 + j**6/10 + j**5/20 - j**2 + 6*j. Let n(p) be the first deriva