(l - 1)*(l + 2)
Let l = -110 - -112. Let h(v) be the first derivative of -2/3*v**l - 2/9*v**3 + 0*v - 3. Determine f, given that h(f) = 0.
-2, 0
Factor 0*u - 8*u - 2 - 6 + 0*u + 2*u**2 + 2*u**3.
2*(u - 2)*(u + 1)*(u + 2)
Determine n, given that -4/3*n**5 + 0 + 4/3*n**4 + 0*n**2 + 0*n**3 + 0*n = 0.
0, 1
Let j(r) = r - 3. Let l be j(7). What is w in -2*w - l*w**3 - 4*w**3 + 5*w**2 + w**4 + 4*w**3 = 0?
0, 1, 2
Let f be 2/2*(4 - (2 - 1)). Let h(p) be the second derivative of 1/18*p**3 + 0 - f*p + 0*p**2 - 1/18*p**4 + 1/60*p**5. Determine a, given that h(a) = 0.
0, 1
Factor -4/3*z**4 - 32/3*z**2 - 20/3*z**3 - 16/3*z + 0.
-4*z*(z + 1)*(z + 2)**2/3
Let j(w) be the second derivative of -1/210*w**7 + 0*w**4 - 1/100*w**5 + w + 0*w**2 + 0 + 0*w**3 + 1/75*w**6. Suppose j(x) = 0. Calculate x.
0, 1
Factor -g**2 + 2*g - g**3 - 5 + 5 + 0.
-g*(g - 1)*(g + 2)
Let s be 1/(-2)*-4 + 0. Factor 4*f**3 - 2*f**2 - 3*f**3 + s*f**2.
f**3
Let w(z) = z**3 - 3*z**2 + 4*z - 2. Let h be w(2). Factor -d**h + 2 - 2*d - 1 - 2.
-(d + 1)**2
Let d be 17 + -13 + (-20)/6. Suppose -8/3*o**3 - d*o**4 - 2/3 - 4*o**2 - 8/3*o = 0. Calculate o.
-1
Let i(g) be the first derivative of -1/6*g**3 + 0*g**2 - 2*g + 1/6*g**4 - 1/20*g**5 - 2. Let z(v) be the first derivative of i(v). Solve z(u) = 0.
0, 1
Let j be (28/21)/(10/45). Let k(b) = -b**3 - 3*b**2 - b + 1. Let s be k(-3). Factor -4*i**2 - 8/3*i**s + 0 - j*i**3 - 2/3*i.
-2*i*(i + 1)**2*(4*i + 1)/3
Factor -5/2 - 15/2*u**2 - 5/2*u**3 - 15/2*u.
-5*(u + 1)**3/2
Let w = 407/5 - 81. Let s = 936/5 + -186. Factor -6/5*h - 2/5*h**3 + w + s*h**2.
-2*(h - 1)**3/5
Let l(r) be the second derivative of 1/6*r**3 - r**2 - 5*r + 1/12*r**4 + 0. Suppose l(p) = 0. What is p?
-2, 1
Let k(u) = -u**2 + 3*u + 2. Let n(t) be the third derivative of t**5/60 + t**3/6 + 3*t**2. Let o(p) = k(p) - 2*n(p). Factor o(s).
-3*s*(s - 1)
Let f(a) be the first derivative of a**4/32 + a**3/3 + 7*a**2/16 + 11. Factor f(y).
y*(y + 1)*(y + 7)/8
Suppose 0 = -2*x - a - 177, 5*x + 3*a + 612 = 172. Let u be (-26)/x - (-8)/21. Factor 4/3*p - u*p**2 + 0.
-2*p*(p - 2)/3
What is p in 2*p**3 + 0*p + 0*p**2 + 4*p**2 + 2*p = 0?
-1, 0
Let y(h) be the first derivative of -h**6/45 + h**5/30 + h**4/9 + 6*h + 3. Let w(m) be the first derivative of y(m). Solve w(f) = 0 for f.
-1, 0, 2
Let b(s) = 11*s**3 + 3*s - 7. Let p(f) = -6*f**3 - 2*f + 4. Let n(j) = j**2 + 4*j + 7. Let x be n(-4). Let h(l) = x*p(l) + 4*b(l). Determine u so that h(u) = 0.
-1, 0, 1
Let m(w) be the second derivative of w**7/14 + 2*w**6/15 - 11*w**5/20 - 4*w**4/3 - 2*w**3/3 - 2*w + 7. Find r, given that m(r) = 0.
-2, -1, -1/3, 0, 2
Suppose 3*q = 2*q - t, t = 2*q - 15. Solve 2*g**4 + 0 + 1/2*g + 2*g**2 + 1/2*g**q + 3*g**3 = 0 for g.
-1, 0
Let j(a) be the third derivative of 5*a**7/252 - a**6/24 - a**5/10 - a**4/18 - 2*a**2. Let j(c) = 0. Calculate c.
-2/5, 0, 2
Solve -5/7*c - 4/7*c**2 - 2/7 - 1/7*c**3 = 0.
-2, -1
Determine i so that -3/7*i - 1/7*i**2 + 4/7 = 0.
-4, 1
Let m = -8 - -5. Let d = 5 + m. Factor 2*x**3 - 3*x**2 - 1 - 2*x**d + 6*x**2 - 2*x.
(x - 1)*(x + 1)*(2*x + 1)
Suppose -3*m - y = -0*y - 2, -y + 6 = 5*m. Let c = -46/279 - -12/31. Factor 0 - 2/9*u**4 + c*u**m + 2/9*u - 2/9*u**3.
-2*u*(u - 1)*(u + 1)**2/9
Suppose 5*q + 4*t = 2*t, 3*q = t. Let n be q*(0 + 2/(-4)). Let 2/3*d**2 + 0 - 2/3*d**3 - 4/3*d**4 + n*d = 0. Calculate d.
-1, 0, 1/2
Let y(c) = -4*c - 3. Let q be y(-6). Suppose w + 4*i + 5 = 0, -5*w = -0*i - 3*i - q. Determine n so that 16/7*n**w + 2/7*n**2 + 32/7*n**4 + 0 + 0*n = 0.
-1/4, 0
Let g(w) be the third derivative of 1/72*w**6 - 1/20*w**5 + 0 - 1/9*w**3 - 1/630*w**7 + w**2 + 0*w + 7/72*w**4. Factor g(x).
-(x - 2)*(x - 1)**3/3
Let o(s) be the third derivative of s**5/420 - s**3/42 - 6*s**2. Solve o(u) = 0 for u.
-1, 1
Suppose -14*f**4 - 5*f**3 - 32*f**2 + 12*f**4 - 11*f**3 = 0. Calculate f.
-4, 0
Suppose 51*w + 12 = 216. Suppose 1/2*x**3 + 0*x**w - 1/2*x**5 + 0 + 0*x**2 + 0*x = 0. What is x?
-1, 0, 1
Let o(i) = 5*i**5 + 9*i**4 - 3*i**3 + i**2 - 6*i + 6. Let z(t) = -t**5 - t**4 + t - 1. Let p(f) = -o(f) - 6*z(f). Factor p(q).
q**2*(q - 1)**3
Factor 0 + 2/5*a**2 - 4/5*a.
2*a*(a - 2)/5
Let h(y) = -8*y**3 + 11*y**2 + 10*y - 1. Let b(t) = 17*t**3 - 23*t**2 - 19*t + 3. Let k(g) = -4*b(g) - 9*h(g). Factor k(p).
(p - 3)*(p + 1)*(4*p + 1)
Let k(n) = -3*n**2 + 4. Let i = 26 + -17. Let s(f) = 6*f**2 - 9. Let x(z) = i*k(z) + 4*s(z). Factor x(g).
-3*g**2
Let f(m) be the second derivative of 1/80*m**5 - 1/24*m**3 + 0 + 3*m + 1/16*m**4 - 3/8*m**2. Factor f(h).
(h - 1)*(h + 1)*(h + 3)/4
Let f(b) be the first derivative of 0*b - 7/18*b**6 + 1 + 3/5*b**5 + 0*b**2 + 0*b**3 - 1/6*b**4. Find y such that f(y) = 0.
0, 2/7, 1
Let f(k) be the first derivative of -4/27*k**3 + 1/18*k**4 - 3 + 1/9*k**2 + 0*k. Factor f(d).
2*d*(d - 1)**2/9
Factor -5/2*d**3 + 1/2*d**5 - 1/2*d**4 + 0 + 0*d - 3/2*d**2.
d**2*(d - 3)*(d + 1)**2/2
Find q, given that 3 - 3/4*q**3 + 3*q - 3/4*q**2 = 0.
-2, -1, 2
Let w(x) be the first derivative of x**6/15 - 6*x**5/25 + x**4/5 + 33. Find v such that w(v) = 0.
0, 1, 2
Let 0 - 1/2*g**4 + 2*g - 1/2*g**3 + 2*g**2 = 0. Calculate g.
-2, -1, 0, 2
Let p(t) be the third derivative of 0*t**5 + 1/900*t**6 + 2*t**2 + 0 + 0*t**4 + 1/525*t**7 + 0*t + 0*t**3. Factor p(c).
2*c**3*(3*c + 1)/15
Let v(d) = -33*d**3 - 21*d**2 + 12*d. Let t(b) = 32*b**3 + 21*b**2 - 11*b. Let x(h) = 6*t(h) + 5*v(h). Factor x(f).
3*f*(f + 1)*(9*f - 2)
Suppose 13 = -0*j + j. Suppose 0 = x + 5*n - 27, 5*x - 22 = -5*n + j. Suppose -2*k + k + x*k**2 + 0*k**2 - k = 0. What is k?
0, 1
Let u(r) be the third derivative of -r**5/15 + 2*r**3/3 + 10*r**2. Factor u(d).
-4*(d - 1)*(d + 1)
Let g(x) = -2*x**3 - 5*x**2 + 11*x + 4. Let w(b) = -b**3 - 2*b**2 + 5*b + 2. Let f(z) = -2*g(z) + 5*w(z). Determine d so that f(d) = 0.
-1, 2
Let k(u) be the second derivative of u**6/70 - u**4/28 + 2*u. Solve k(p) = 0.
-1, 0, 1
Let v(g) be the second derivative of -g**7/140 - 7*g**6/180 + g**4/3 - g**3 - 4*g. Let i(z) be the second derivative of v(z). What is b in i(b) = 0?
-2, -1, 2/3
Let r(i) be the third derivative of 0 + 0*i - 3/20*i**5 - 4*i**2 - 1/2*i**3 + 1/2*i**4. Suppose r(k) = 0. What is k?
1/3, 1
Solve -x + 4/3*x**3 + 1/3 + 0*x**2 = 0 for x.
-1, 1/2
Let 0*s - 1/4*s**4 + 0*s**3 + 1/4*s**5 + 0 + 0*s**2 = 0. Calculate s.
0, 1
Let g be (2 - 1)/(4/16). Suppose 1 - 2*o**2 + g*o + 2 - 3 = 0. Calculate o.
0, 2
Let v(t) = -3*t**2 + 11*t - 8. Let z(q) = 3*q**2 - 12*q + 9. Let g(h) = -6*v(h) - 5*z(h). Factor g(a).
3*(a - 1)**2
Let d(k) = -2 - 2*k + 6*k**3 + k + 1 - 5*k**3. Let v(l) = -8*l**3 - 5*l**2 - l + 3. Let f(o) = -21*d(o) - 3*v(o). Find c, given that f(c) = 0.
-2, -1
Let q(m) be the third derivative of m**5/20 + 5*m**4/8 + 3*m**3 + 32*m**2. Let q(h) = 0. What is h?
-3, -2
Let f(y) be the third derivative of 3*y**6/200 - y**5/50 - y**4/40 + 3*y**2. Let f(j) = 0. Calculate j.
-1/3, 0, 1
Let t be -2*(-1)/(-2)*-2. Let l(o) be the first derivative of 0*o**3 + 0*o**t + 0*o - 1/8*o**4 + 1 - 1/5*o**5 - 1/12*o**6. Factor l(b).
-b**3*(b + 1)**2/2
Let i be 21/(-6)*24/(-21). Factor -1/4*h**3 - 1/4*h**i + 1/4*h**2 + 1/4*h + 0.
-h*(h - 1)*(h + 1)**2/4
Determine j so that -6*j**3 + 3*j**3 + 4*j**3 - 2*j**3 = 0.
0
Suppose 8 = 8*u - 4*u. Suppose -2*w = u*w. Let a**2 - 1 + w*a**2 + 0 = 0. Calculate a.
-1, 1
Let g(s) be the first derivative of -2/5*s**2 + 1/30*s**4 + 1/15*s**3 + 2*s - 1. Let p(w) be the first derivative of g(w). Factor p(m).
2*(m - 1)*(m + 2)/5
Factor 0*o**2 + 0*o**4 + 0*o - 1/4*o**3 + 1/4*o**5 + 0.
o**3*(o - 1)*(o + 1)/4
Let c(l) be the first derivative of -l**4/2 - 2*l**3 + 4*l**2 - 2. Factor c(f).
-2*f*(f - 1)*(f + 4)
Suppose 4*d = 6*d - 4. Let o(z) be the second derivative of 0 + 0*z**3 + 0*z**2 + 1/30*z**4 + d*z. Factor o(k).
2*k**2/5
Let u(w) be the second derivative of w**4/3 - 4*w**3/3 + 2*w**2 + w. Factor u(b).
4*(b - 1)**2
Let s(w) be the third derivative of w**9/60480 - w**7/5040 + w**5/480 + w**4/12 - 4*w**2. Let g(j) be the second derivative of s(j). Factor g(m).
(m - 1)**2*(m + 1)**2/4
Let v(y) = y**2 + y - 6. Let k be v(-3). Let i(d) be the third derivative of -1/40*d**5 + 1/8*d**4 - 3*d**2 - 1/4*d**3 + k + 0*d. Factor i(l).
-3*(l - 1)**2/2
Find h, given that 35/3*h**3 + 5*h**4 + 0 - 10/3*h - 25/3*h**5 - 5*h**2 = 0.
-1, -2/5, 0, 1
Let u(j) be the third de