f -3/2*l**4 + 2*l + 7/10*l**n + 0*l**2 + 0 + 2/3*l**3. Factor a(s).
2*s*(s - 1)*(7*s - 2)
Let s(x) = -2*x**4 + 4*x**3 + 5*x**2 + x + 7. Let t(r) = -3*r**4 + 6*r**3 + 8*r**2 + 2*r + 11. Let i be (-10)/(-6)*9/3. Let j(m) = i*t(m) - 8*s(m). Factor j(l).
(l - 1)**3*(l + 1)
Let c(u) be the first derivative of -2 + 7/12*u**3 - 1/2*u + 5/8*u**2. Factor c(d).
(d + 1)*(7*d - 2)/4
Find a such that 9/5*a**2 + 9/5*a + 3/5 + 3/5*a**3 = 0.
-1
Let h = -1/61 + 307/122. Let l = h - 2. Factor -l*w - 2*w**2 + 0.
-w*(4*w + 1)/2
Let t(l) be the second derivative of -2*l**7/7 + 59*l**6/30 - 53*l**5/10 + 29*l**4/4 - 16*l**3/3 + 2*l**2 - 6*l. Let t(m) = 0. Calculate m.
1/4, 2/3, 1, 2
Let v = 2/1215 + 14566/8505. Suppose -5*k + 6 = -2*k. Determine f so that -2/7 - 10/7*f**k - v*f = 0.
-1, -1/5
Let i(w) be the second derivative of 0*w**2 + 0 + 1/66*w**4 - 2/33*w**3 - 3*w. Suppose i(g) = 0. What is g?
0, 2
Let o be 17/34*(-1 + 1). Let b(g) be the second derivative of 0*g**2 + o - 1/12*g**3 - 1/24*g**4 + 2*g. Factor b(k).
-k*(k + 1)/2
Let r = 12 - 10. Solve -2 + 4*y**r - y**2 - 2 + 1 = 0 for y.
-1, 1
Let r(d) = d**2 - 7*d + 9. Let a = 26 + -20. Let z be r(a). Solve 2/3*l - 2/9*l**2 - 2/9*l**4 - 2/3*l**z + 4/9 = 0.
-2, -1, 1
Let u(l) = 10*l**3 + 6*l**2 - 22*l + 6. Let s(w) = -w**3 + w. Let d(x) = -44*s(x) - 4*u(x). Suppose d(j) = 0. What is j?
1, 2, 3
Let l be (-3 - -5) + 22/(-12). Let n(x) be the third derivative of -2*x**2 + 5/48*x**4 + 0 - 1/48*x**6 + 0*x + 1/60*x**5 - l*x**3. Find u, given that n(u) = 0.
-1, 2/5, 1
Solve -1/2*l - 1/2*l**3 + l**2 + 0 = 0.
0, 1
Let -28/9*i + i**4 + 4/9 + 61/9*i**2 - 14/3*i**3 = 0. What is i?
1/3, 2
Let b(r) be the first derivative of 2 - 1/12*r**3 - 1/4*r**2 - 1/4*r. Factor b(u).
-(u + 1)**2/4
Let z(o) be the third derivative of o**5/270 - o**4/108 - 2*o**3/9 + 9*o**2. Factor z(y).
2*(y - 3)*(y + 2)/9
Let c(f) be the third derivative of -f**9/30240 + f**8/2520 - f**7/630 - f**5/15 - 5*f**2. Let q(k) be the third derivative of c(k). Factor q(z).
-2*z*(z - 2)**2
Let j be (-3)/84*123 - -3. Let n = j - -743/252. Factor 20/3*k**4 + 4/9 + 10/3*k + 100/9*k**3 + n*k**5 + 80/9*k**2.
2*(k + 1)**4*(7*k + 2)/9
Let p(i) be the third derivative of i**7/35 + i**6/8 + 3*i**5/20 - i**4/8 - i**3/2 + 7*i**2. Factor p(o).
3*(o + 1)**3*(2*o - 1)
Let v(o) be the second derivative of 0 + 3/20*o**5 + 5/36*o**4 - 1/9*o**3 + 8*o + 0*o**2 - 1/18*o**7 - 1/18*o**6. What is h in v(h) = 0?
-1, 0, 2/7, 1
Suppose -3*d + 0*d = -285. Let a = 289/3 - d. Factor a*m**3 - 5/3*m**2 + 0 + 2/3*m - 1/3*m**4.
-m*(m - 2)*(m - 1)**2/3
Determine g so that g - 3*g**3 + 0*g**4 - 3*g**4 - 6 + 2*g + 9*g**2 = 0.
-2, -1, 1
Let k(v) be the third derivative of 1/525*v**7 + 0*v + 0 - 1/60*v**4 + 5*v**2 + 1/300*v**6 + 0*v**3 - 1/150*v**5. Determine s so that k(s) = 0.
-1, 0, 1
Let w(v) be the second derivative of -v**7/840 + v**6/180 - v**5/120 + v**3/6 - v. Let p(l) be the second derivative of w(l). Solve p(i) = 0 for i.
0, 1
Solve -2/9*b + 4/9*b**3 - 2/9*b**5 + 4/9*b**2 - 2/9*b**4 - 2/9 = 0 for b.
-1, 1
Let w = -34/5 - -7. Find d such that 0*d + 0 + 1/5*d**3 - w*d**2 = 0.
0, 1
Let a(s) be the third derivative of -1/12*s**3 + 3/40*s**5 + 0*s + 0 + 5*s**2 + 1/48*s**6 + 1/16*s**4. Solve a(c) = 0 for c.
-1, 1/5
Let g = -8093/122 - -1/366. Let f = g - -67. Factor 0 + 1/3*x + f*x**2.
x*(2*x + 1)/3
Solve -1/5*z**4 - 4/5*z**3 - 1/5 - 6/5*z**2 - 4/5*z = 0 for z.
-1
Suppose g + 2*l - 4 = 3*l, -5*g + 2*l = -14. Factor -5*n + 1 + 9*n - 3*n**g - 2*n.
-(n - 1)*(3*n + 1)
Determine k, given that -5/6*k + 1/3 - 3/2*k**2 + 7/6*k**4 + 5/6*k**3 = 0.
-1, 2/7, 1
Find p, given that p**4 - 46*p**3 - 10*p**2 + 44*p**3 + p**4 - 4*p + 2*p**4 = 0.
-1, -1/2, 0, 2
Suppose -2 = -a - 0*a. Let q(l) be the first derivative of 2*l - 2 - 2/3*l**3 - 1/2*l**4 + l**a. Factor q(d).
-2*(d - 1)*(d + 1)**2
Let a(d) be the first derivative of -d**5/10 - d**4/8 + d**3/3 - 11. Determine r so that a(r) = 0.
-2, 0, 1
Let p = 121/3480 + 1/145. Let x(d) be the third derivative of 0*d + 0*d**3 + p*d**4 - d**2 - 1/60*d**5 + 0. Let x(n) = 0. What is n?
0, 1
Suppose 5*m - t = 23, 0 = 3*m + 4*t - 7 - 16. Let z(r) be the first derivative of 0*r - 1/6*r**4 + 0*r**3 + 0*r**2 - 4/15*r**m + 2. Solve z(i) = 0.
-1/2, 0
Let n = -9 - -12. Factor 4*q**2 - 2*q**3 + 0*q**n + 0*q**3 - 3*q + q.
-2*q*(q - 1)**2
Let d(c) be the first derivative of -2*c**3 - 9*c**2/4 + 3*c/2 + 1. Suppose d(u) = 0. Calculate u.
-1, 1/4
Suppose 7*w = 11*w + 4. Let f be ((1 - -4)*w)/(-1). Factor 0 + 0*h**4 - 4/5*h**3 + 0*h**2 + 2/5*h + 2/5*h**f.
2*h*(h - 1)**2*(h + 1)**2/5
Let w = 241/963 - 3/107. Let 0 - w*r**3 + 0*r + 0*r**2 = 0. What is r?
0
Let i(m) = -2*m**2 - 5*m + 7. Let t be (-6)/(-2) + (2 - 3). Let a(q) = 6*q**2 - q**2 - 4*q**t - 4 + 3*q. Let d(h) = 5*a(h) + 3*i(h). Solve d(v) = 0 for v.
-1, 1
Let f(u) be the second derivative of u**6/900 + u**5/50 + 3*u**4/20 - 2*u**3/3 + 4*u. Let r(c) be the second derivative of f(c). Factor r(k).
2*(k + 3)**2/5
Suppose 0 = -q - 3*f - 4, 3*q + f + 2 = -3*f. Let k be (0 + 0)/((-5)/(-5)). Solve k*l + 0 + 2/3*l**4 + 4/3*l**q + 2*l**3 = 0 for l.
-2, -1, 0
Let u = -1/370 - -67/11100. Let f(p) be the third derivative of -1/150*p**5 + 0*p**4 + 0*p + 0 + p**2 + 0*p**3 - u*p**6. Determine i so that f(i) = 0.
-1, 0
Determine d, given that -2/5*d + 0 + 8/5*d**2 - 6/5*d**3 = 0.
0, 1/3, 1
Suppose 14 + 10 = -3*i + 3*r, 2*i - r + 13 = 0. Let j(k) = 2*k**2 - 10*k + 8. Let p(q) = -2*q**2 + 9*q - 7. Let a(o) = i*j(o) - 6*p(o). Factor a(g).
2*(g - 1)**2
Let b(n) be the second derivative of n**4/12 - 4*n**3/3 + n**2 + 2*n. Let g be b(8). Determine u, given that 0*u - 4/7*u**g + 0 - 2*u**3 - 10/7*u**4 = 0.
-1, -2/5, 0
Let s(g) be the first derivative of -g**4/6 + g**3/3 - 5*g - 1. Let n(t) be the first derivative of s(t). Factor n(h).
-2*h*(h - 1)
Let b(m) be the second derivative of m**3/3 + m. Let k be b(1). Factor 5*r**3 + 0*r**2 + 2*r**2 + 0*r**k.
r**2*(5*r + 2)
Factor -3/2*r**3 + 0*r**2 + 0 - 45/4*r**5 + 0*r + 33/4*r**4.
-3*r**3*(3*r - 1)*(5*r - 2)/4
Let b = 7 - 8. Let i(v) = 5*v**2 - 3*v. Suppose -3*o + 4*o + 4 = 0. Let m(q) = -q**2 + q. Let n(g) = b*i(g) + o*m(g). Factor n(a).
-a*(a + 1)
Suppose 4*c = -t + 5, 2*t = 3*t - 5*c - 14. Factor -18*y - 5 + 0 + 1 - 24*y**2 - t*y**3 - y**3.
-2*(y + 1)**2*(5*y + 2)
Let p be (1 - 1) + (-2)/(-6). Let m be 12*((-64)/36)/(-4). Let m*r**5 + 8*r**4 + 1/3*r + p*r**3 + 0 - 2*r**2 = 0. What is r?
-1, 0, 1/4
Let i(n) be the third derivative of n**8/3360 - n**7/1260 - n**6/180 - n**4/8 + 4*n**2. Let t(y) be the second derivative of i(y). Solve t(b) = 0 for b.
-1, 0, 2
Let f = 45 + -39. Let a(o) be the third derivative of 1/840*o**7 + 0*o**3 + 4*o**2 - 1/160*o**f - 1/96*o**4 + 0 + 1/80*o**5 + 0*o. Factor a(t).
t*(t - 1)**3/4
Let y(x) be the first derivative of 0*x + 0*x**3 + 0*x**2 - 1/4*x**4 + 1. Solve y(s) = 0.
0
Let h(u) be the second derivative of -u**4/36 - u**3/9 + u**2/2 - 23*u. Suppose h(o) = 0. What is o?
-3, 1
Let g(v) be the first derivative of v**6/300 + 2*v**5/75 + v**4/12 + 2*v**3/15 - v**2/2 - 3. Let b(x) be the second derivative of g(x). Factor b(u).
2*(u + 1)**2*(u + 2)/5
Let r(y) = 3*y**3. Let u be r(1). Let 5*w**3 - 2*w**4 - 5*w**u + 2*w**3 = 0. What is w?
0, 1
Let k(v) be the first derivative of -3*v**6 + 93*v**5/5 - 135*v**4/4 + 15*v**3 + 33*v**2/2 - 18*v - 16. What is h in k(h) = 0?
-1/2, 2/3, 1, 3
Solve -17 + 8*u - 19 + 17*u - 13*u + 3*u**2 = 0 for u.
-6, 2
Let g(a) be the second derivative of 27*a**5/50 + 3*a**4/5 + 4*a**3/15 + 3*a**2/2 - a. Let j(x) be the first derivative of g(x). Solve j(f) = 0 for f.
-2/9
Let b be (-3)/60*(-40)/96. Let w(i) be the third derivative of 0*i**3 - b*i**4 + 0 + 3/80*i**5 + 0*i - 3*i**2 - 7/480*i**6. Solve w(c) = 0.
0, 2/7, 1
Let f(t) be the second derivative of -t**4/12 - 4*t**3/3 - 8*t**2 - 12*t. Suppose f(u) = 0. What is u?
-4
Let f = 5 - -6. Let s(a) = 12*a**3 + 14*a**2 - 23*a + 8. Let o(c) = 4*c**3 + 5*c**2 - 8*c + 3. Let q(t) = f*o(t) - 4*s(t). Determine w so that q(w) = 0.
-1, -1/4, 1
Let l(a) be the third derivative of 0 + 0*a**4 + 1/21*a**7 + 0*a + 0*a**3 + 0*a**5 - 1/30*a**6 + 3*a**2. Suppose l(u) = 0. What is u?
0, 2/5
Let t(p) = 20*p**2 + p - 4. Let g(d) = -7*d**2 + 1. Let v(a) = -8*g(a) - 3*t(a). Let b(q) = 5*q**2 + 4*q - 5. Let w(z) = 3*b(z) + 4*v(z