 l.
-3, -1/2
Let c(i) = -i**5 + i**3 - i**2 + 1. Let h(l) = 4*l**5 - l**3 + 7*l**2 - 3*l - 7. Let z(s) = -10*c(s) - 2*h(s). Factor z(n).
2*(n - 2)*(n - 1)*(n + 1)**3
Let k be (7 - 5)/(3/2). Factor -20/9*s**3 - 2/9 - 2/3*s**4 - 8/3*s**2 - k*s.
-2*(s + 1)**3*(3*s + 1)/9
Let l = -383/18 - -43/2. Let c = -2/1333 - -5350/11997. Determine s, given that 2/9*s + c - l*s**2 = 0.
-1, 2
Let l(r) = 3*r**4 - 6*r**3 + 2*r - 3. Let d(s) = -s**4 + s**3 + 1. Let v = 4 - 3. Let n = 6 - 2. Let z(p) = n*d(p) + v*l(p). Suppose z(f) = 0. Calculate f.
-1, 1
Suppose 2*b - 8 = 4*b, -3*x - 4*b - 10 = 0. Determine f so that 1/3*f**3 + 0 + 0*f**x + 0*f = 0.
0
Suppose -2 = 4*o - 14. Solve -8*t**2 + 4*t + 13*t**2 - 2*t**4 - 6*t**3 + 2*t**5 - o*t**2 = 0 for t.
-1, 0, 1, 2
Let k(r) be the first derivative of r**5/3 - 5*r**4/12 - 5*r**3/3 + 5*r**2/6 + 10*r/3 - 37. Determine n, given that k(n) = 0.
-1, 1, 2
Let u(r) be the second derivative of r**7/119 - 7*r**6/255 + 3*r**5/170 + r**4/34 - 2*r**3/51 + r. Determine o, given that u(o) = 0.
-2/3, 0, 1
Let i = 54 - 38. Let g = i - 13. Determine r, given that -3/4*r**2 + 1/4*r - 1/4*r**g + 1/2 + 1/4*r**4 = 0.
-1, 1, 2
Let r(j) = 55*j**3 - 110*j**2 + 60*j. Let w(x) = -x**3 + x**2 - x. Let d(q) = r(q) + 20*w(q). Let d(i) = 0. What is i?
0, 4/7, 2
Solve t**5 + 7*t**4 + 2*t**3 + 2*t**4 - 6*t**4 = 0.
-2, -1, 0
Let b(v) be the first derivative of 0*v**4 - 1/3*v**3 + 1/30*v**5 + 0*v + 3/2*v**2 - 3. Let y(l) be the second derivative of b(l). Solve y(r) = 0.
-1, 1
Let i = 10 - 8. Let u be 3/(-9) - i/(-6). Factor 2/9*g**4 + 2/9*g**3 + 0 + 0*g**2 + u*g.
2*g**3*(g + 1)/9
Factor 3/2 + 1/4*h**2 - 13/4*h + 1/2*h**3.
(h - 2)*(h + 3)*(2*h - 1)/4
Let d(g) be the second derivative of g**4/42 - 4*g**3/21 + 4*g**2/7 - 7*g. Let d(l) = 0. What is l?
2
Suppose -4*z = 2 - 14. Let f(t) = 5*t - 178. Let b be f(36). Factor 6/7*i**z - 8/7*i**b + 0 - 8/7*i.
2*i*(i - 2)*(3*i + 2)/7
Find m, given that -3*m**3 + 21*m**4 + 31*m**3 - 8 + 16*m**3 + 38*m**2 - 8*m - 51*m**4 - 36*m**5 = 0.
-1, -2/3, 1/2, 1
Let s be 0/(-9 + 50/5). Factor 4/5*r**2 + 1/5*r**5 + 6/5*r**3 + 1/5*r + s + 4/5*r**4.
r*(r + 1)**4/5
Let t(b) be the third derivative of -11/48*b**4 + 0*b + 0 + 3*b**2 - 7/40*b**5 - 17/240*b**6 - 1/84*b**7 - 1/6*b**3. Factor t(z).
-(z + 1)**3*(5*z + 2)/2
Let i = 2 + 2. Solve i + 6*z**2 + 5*z**2 - 10*z**2 + 4*z + 0 = 0.
-2
Suppose -2*z + 19 + 11 = 0. Suppose -z + 0 = -3*d. Factor 0*m - d*m**3 + 4*m**3 + m.
-m*(m - 1)*(m + 1)
Factor 8 - 1/2*k**4 - 4*k**3 + 4*k - 15/2*k**2.
-(k - 1)*(k + 1)*(k + 4)**2/2
Let s(n) be the second derivative of 3*n**5/80 + 3*n**4/4 + 11*n**3/8 + 24*n - 2. Factor s(a).
3*a*(a + 1)*(a + 11)/4
Suppose -24 = -2*h + 6*h. Let i be (-2)/3*h/16. What is o in 1/4*o**2 - i*o**3 - 1/4*o**4 + 0 + 1/4*o = 0?
-1, 0, 1
Let w(i) be the first derivative of i**4 + 4*i**3/3 - 6. Find o, given that w(o) = 0.
-1, 0
Let 0 + 0*t**2 + 8/3*t**3 + 4/3*t**4 + 0*t = 0. What is t?
-2, 0
Determine f so that -2/17*f**4 + 2/17*f**2 + 0 + 2/17*f - 2/17*f**3 = 0.
-1, 0, 1
Let f(v) = -v**4 - v**3 + v**2 - 1. Suppose 7*c - 4*c - 6 = -5*p, -3 = p + 2*c. Let d(w) = 2*w**4 + 2*w**3 - 3*w**2 + 3. Let k(n) = p*f(n) + d(n). Factor k(y).
-y**3*(y + 1)
Let i be (6/9)/((-2264)/(-42)). Let d = 79177/5094 + i. Find b such that d*b**3 + 50/9*b**4 + 56/9*b + 46/3*b**2 + 8/9 = 0.
-1, -2/5
Factor 72 - 4*u**3 + 5*u**2 - 21*u**2 + u + 11*u.
-4*(u - 2)*(u + 3)**2
Factor 1 + h**5 + 2*h + 3*h**4 - 5*h - 6*h**4 + 2*h**2 + 2*h**3.
(h - 1)**4*(h + 1)
Let x(k) = -65*k**2 - 41*k + 1. Let f(t) = -65*t**2 - 40*t. Let h(b) = 5*f(b) - 4*x(b). Factor h(p).
-(5*p + 2)*(13*p + 2)
Solve -2*z**2 - 2 - 7 - 10*z + 1 = 0 for z.
-4, -1
Let s(g) = 5*g**4 - 16*g**3 - 20*g**2 + 10*g + 9. Let n(x) = -x**3 - 1. Let v(q) = -6*n(q) + s(q). Solve v(a) = 0.
-1, 1, 3
Let f(t) = 4*t + 1. Let a be f(1). Suppose 0*z - 20 = -a*z. Factor 1/4*j**z + 0*j + 0 + 1/4*j**5 - 1/4*j**2 - 1/4*j**3.
j**2*(j - 1)*(j + 1)**2/4
Suppose 0*m - l + 1 = m, -3*l - 11 = -4*m. Determine g, given that -4*g**5 - 5*g**5 - g**5 - 2*g**5 + 10*g**4 + 4*g**3 - 2*g**m = 0.
-1/2, 0, 1/3, 1
Let j be 14/21 + 18/(-27). Factor 4/3*k + j - 2/3*k**4 + 8/3*k**3 - 10/3*k**2.
-2*k*(k - 2)*(k - 1)**2/3
Let a(b) be the second derivative of -b**7/8820 + b**5/420 - b**4/4 + 5*b. Let v(x) be the third derivative of a(x). Solve v(r) = 0 for r.
-1, 1
Let z(j) = j - 4. Let a be z(4). Suppose 3*m - 6*m = a. Determine f, given that 2*f**3 + m*f**3 + 2*f - 2*f**2 - 2*f**2 = 0.
0, 1
Let c(l) be the third derivative of 0 + 0*l - 1/180*l**5 - 1/72*l**4 + 1/9*l**3 + l**2. Let c(a) = 0. Calculate a.
-2, 1
Let w(a) = 7*a**5 - 6*a**4 - 2*a**3 + 6*a**2 + a + 6. Let l(t) = 6*t**5 - 5*t**4 - 2*t**3 + 5*t**2 + t + 5. Let m(o) = -6*l(o) + 5*w(o). Factor m(n).
-n*(n - 1)**2*(n + 1)**2
Let k(c) be the third derivative of -c**8/20160 + c**6/720 - c**5/30 + 2*c**2. Let q(i) be the third derivative of k(i). Suppose q(a) = 0. Calculate a.
-1, 1
Let v(b) = b**3 + 14*b**2 + 13*b + 7. Let c be v(-13). Suppose 4*q**2 - 6 + 8 + 14 - 23*q + c*q = 0. What is q?
2
Let r = -9899/75 + 132. Let l(q) be the second derivative of 2*q + 0*q**2 + 1/15*q**3 + r*q**6 + 0 - 1/30*q**4 - 1/50*q**5. Factor l(w).
2*w*(w - 1)**2*(w + 1)/5
Let h be (-2)/(-2) - ((8 - -1) + -10). Factor 3/7*i**h + 0*i + 0.
3*i**2/7
Let g(c) be the third derivative of 1/30*c**6 - 1/105*c**7 + 0*c + 0 + c**2 - 1/30*c**5 + 0*c**3 + 0*c**4. Let g(w) = 0. What is w?
0, 1
Let m be 3/(-6) + 10/4. Suppose m*f = -f + 9. Factor -6*y**f + y**3 + y**2 - 2*y**3 - 16*y**5 - 2*y**3 + 24*y**4.
-y**2*(y - 1)*(4*y - 1)**2
Let j(u) = -4*u**4 + 9*u**3 + u**2 + 9*u + 6. Let y(r) = r**4 - r**3 + r**2 - r - 1. Let i(x) = -j(x) - 5*y(x). Factor i(m).
-(m + 1)**4
Let d(k) be the third derivative of k**8/84 - 2*k**7/21 + 3*k**6/10 - 7*k**5/15 + k**4/3 - 10*k**2. Suppose d(b) = 0. Calculate b.
0, 1, 2
Let y(i) = -9*i**3 - 8*i**2 + 7*i. Let d(o) = o**2 - o. Let q(v) = -5*d(v) - y(v). Find f, given that q(f) = 0.
-2/3, 0, 1/3
Let j = 8 + -4. Let w(g) be the first derivative of 0*g**3 + 1/14*g**j - 1/7*g**2 + 0*g + 1. Let w(m) = 0. Calculate m.
-1, 0, 1
Determine q, given that -33/7*q**3 + 15/7*q**4 - 3/7*q + 0 + 3*q**2 = 0.
0, 1/5, 1
Suppose -b - 2 = -h, -5*b + 3*h - 5 = -3. Let l be ((-2)/(-4))/((-18)/(-12)). Let -l*x - 1/2*x**b + 0*x**3 + 0 + 1/6*x**4 = 0. Calculate x.
-1, 0, 2
Let d(p) be the second derivative of p**7/21 + p**6/5 - p**5/5 - p**4 + p**3/3 + 3*p**2 + 4*p. Suppose d(a) = 0. Calculate a.
-3, -1, 1
Let p(l) be the third derivative of -l**8/1176 + l**6/140 + l**5/105 + 2*l**2. Factor p(d).
-2*d**2*(d - 2)*(d + 1)**2/7
Let w(q) be the second derivative of -q**6/315 - q**5/30 - q**4/7 - 20*q**3/63 - 8*q**2/21 - 4*q. Factor w(j).
-2*(j + 1)*(j + 2)**3/21
Let a(t) be the third derivative of -1/8*t**4 + 0*t - 3/20*t**5 + 0*t**3 + 0 + 5*t**2 + 1/10*t**6. Factor a(n).
3*n*(n - 1)*(4*n + 1)
Let z(g) be the third derivative of g**7/5040 - g**6/1080 - g**3/3 + 3*g**2. Let d(l) be the first derivative of z(l). Factor d(m).
m**2*(m - 2)/6
Suppose 5*x - 2*x + 8 = -m, 2 = -m - x. Let g be m + -2 + (-36)/(-8). Factor -g*v**2 - 9/2*v - 1.
-(v + 1)*(7*v + 2)/2
Suppose 0 = -5*u + 3*u + 4. Let d(h) be the first derivative of -h**4 + 1/3*h**3 + 3/5*h**5 + 2 + 0*h**u + 0*h. Solve d(r) = 0 for r.
0, 1/3, 1
Let g(t) be the third derivative of 1/600*t**6 + t**2 - 1/30*t**3 + 1/300*t**5 + 0 - 1/120*t**4 + 0*t. Find o such that g(o) = 0.
-1, 1
Factor 2*l**3 + 32/9*l - 14/3*l**2 - 8/9.
2*(l - 1)*(3*l - 2)**2/9
Let o(v) be the second derivative of 4*v**5/5 - 25*v**4/3 + 28*v**3 - 18*v**2 - v. Find r, given that o(r) = 0.
1/4, 3
Factor -2/5*h + 2/5*h**3 + 2/5 - 2/5*h**2.
2*(h - 1)**2*(h + 1)/5
Let i(g) = -g**3 - 28*g**2 - 26*g + 27. Let l be i(-27). Factor 9/4*o**2 + l*o - 3/4*o**3 - 3.
-3*(o - 2)**2*(o + 1)/4
Let y(b) be the third derivative of -b**6/1260 + b**5/140 + 4*b**3/3 + 4*b**2. Let s(f) be the first derivative of y(f). Let s(u) = 0. What is u?
0, 3
Suppose 6 - 14 = -4*j. Let g(f) be the third derivative of 0 + 0*f + 1/180*f**5 + f**j - 1/9*f**3 + 1/72*f**4. Suppose g(m) = 0. Calculate m.
-2, 1
Let q(u) be the first derivative of u**3/3 + 7*u**2/2 + 8*u - 3. Let k be q(-6). Determine m so that -2/3*m + 0 + 1/3*m**k = 0.
0, 2
Let y be 17/(-34) - 266/(-540). Let a = 29/