f(l).
5*l**2*(3*l + 1)
Let s = 6/11 + -20/77. Factor -6/7*x + 2/7 + s*x**5 + 4/7*x**2 + 4/7*x**3 - 6/7*x**4.
2*(x - 1)**4*(x + 1)/7
Let l be (1/(-5))/(33/(-110)). Suppose -5/3*k + l - 1/3*k**3 + 4/3*k**2 = 0. What is k?
1, 2
Suppose -4*n - 2*u - 3 = -3*n, -5*u - 27 = -4*n. Suppose -n*r + o - 2*o + 2 = 0, -r = -3*o - 14. Factor g**3 + g**2 - 2*g**4 + g**r - g + 0*g**4.
-g*(g - 1)*(g + 1)*(2*g - 1)
Let i = -26/35 + 8/7. Find t such that -12/5*t**4 + 0 - i*t - 16/5*t**3 + 18/5*t**5 + 12/5*t**2 = 0.
-1, 0, 1/3, 1
Let l(x) be the first derivative of -1/3*x + 1 + 1/12*x**4 + 1/9*x**3 - 1/6*x**2. Factor l(k).
(k - 1)*(k + 1)**2/3
Let q be 5/20 - 3/(-4). What is v in -3*v**2 + 1 + 41*v - q - 38*v = 0?
0, 1
Suppose -4*z - 4*k + 44 = 0, 3*z + 2*z = 3*k + 23. Suppose 4*h - 9 = z. Determine t, given that -2/5*t**2 + 0*t - 2/5*t**h + 0 - 4/5*t**3 = 0.
-1, 0
Let s(w) be the first derivative of -3*w**4/4 + w**3 + 3*w**2/2 - 3*w + 3. Factor s(r).
-3*(r - 1)**2*(r + 1)
Suppose -6 = t - 3*t. Let s be 38/6 - 2/6. Suppose -s*f**3 - 4 + 14*f - 11*f**3 + 6*f**4 - 2*f**2 + 3*f**t = 0. Calculate f.
-1, 1/3, 1, 2
Let o(u) be the first derivative of 4*u**5/5 + 2*u**4 + 4*u**3/3 - 4. Factor o(m).
4*m**2*(m + 1)**2
Find b, given that -8*b - b**5 + 4*b**3 - 2*b**4 + 0*b**5 - 8 + 10*b**2 - b**5 + 6*b**3 = 0.
-2, -1, 1, 2
Suppose -7 - 1 = -4*b. Suppose 3*a = a + b*n + 14, 2*a + 2 = -2*n. Determine m, given that a*m + 2*m**2 - 7*m + 6*m = 0.
-1, 0
Let s be (-506)/(-154) + (-1 - 5/(-7)). Suppose 3*n + 5*a - 28 = -n, -4*a + 6 = -5*n. Find j such that 0*j**s + 0 + 1/3*j**n + 0*j - 1/3*j**4 = 0.
-1, 0, 1
Let z(r) be the second derivative of -r**6/30 + r**5/4 - 7*r**4/12 + r**3/2 - 29*r. Find i, given that z(i) = 0.
0, 1, 3
Let t(x) be the first derivative of -x**6/45 - 2*x**5/15 + x**4/30 + 2*x**3/9 - 52. Suppose t(n) = 0. Calculate n.
-5, -1, 0, 1
Let k(p) be the third derivative of -1/350*p**7 + 0 + 0*p**5 + 8/5*p**3 - 2/5*p**4 + 0*p + 1/50*p**6 - p**2. Factor k(g).
-3*(g - 2)**3*(g + 2)/5
Factor -6*f**2 + f + 3*f**2 - 3*f**3 - 10*f - 9*f**2.
-3*f*(f + 1)*(f + 3)
Let i be 1*0/2 + 0. Let p(r) = r. Let s be p(i). Factor 2/9 + s*c**2 - 2/9*c**4 + 4/9*c**3 - 4/9*c.
-2*(c - 1)**3*(c + 1)/9
Suppose -s = -0 - 2. Solve -2*q**s + 0*q**4 + 2*q**3 + 2*q**4 + 3*q**5 - 5*q**5 = 0.
-1, 0, 1
Suppose -4*i - 4 + 12 = 0. Let j(l) be the third derivative of 2*l**i + 0*l + 0 - 1/8*l**4 + 1/20*l**5 + 1/6*l**3 - 1/120*l**6. Find m, given that j(m) = 0.
1
Let b(y) = -8*y**3 + 4*y**2 + 4*y - 8. Let o(t) = 15*t**3 - 9*t**2 - 8*t + 16. Let s(r) = 7*b(r) + 4*o(r). Factor s(x).
4*(x - 2)*(x - 1)*(x + 1)
Suppose 0*u - u + 8 = 3*z, 2*z + u - 4 = 0. Find m such that 0*m**3 + 0 - 3/4*m**5 + 3/2*m**z + 3/4*m - 3/2*m**2 = 0.
-1, 0, 1
Let l(b) be the third derivative of 0 + 0*b**3 + 2*b**2 + 0*b**4 + 0*b - 1/360*b**5 + 1/720*b**6. Let l(f) = 0. What is f?
0, 1
Let y be -1*10/(-5) + 0. Let l(k) = -k**3 + 5*k**2 - 5*k + 1. Let j be l(y). Factor 4/3*z**j + 2/3 - 2*z**2 + 0*z.
2*(z - 1)**2*(2*z + 1)/3
Let j(g) be the third derivative of -g**9/30240 + g**8/10080 + g**5/60 + 3*g**2. Let m(n) be the third derivative of j(n). Solve m(y) = 0 for y.
0, 1
Let k(v) be the first derivative of 27*v**4/4 - 6*v**2 + 4. Factor k(b).
3*b*(3*b - 2)*(3*b + 2)
Suppose -3*c + c = -10. Let i(h) = h**2 - 6*h + 5. Let f be i(c). Solve 1/2*v + f - 1/4*v**2 = 0 for v.
0, 2
Let n be 2/15*33/22. Factor -1/5*h**3 + n - 3/5*h + 3/5*h**2.
-(h - 1)**3/5
Let o(b) be the third derivative of b**8/50400 + b**7/12600 - b**6/900 - b**5/20 - b**2. Let c(l) be the third derivative of o(l). Suppose c(i) = 0. What is i?
-2, 1
Let m(k) = -k**3 - 4*k**2 + 4*k - 5. Let a be m(-5). Let y(b) be the first derivative of 1/6*b**2 - 1/3*b**3 + 1/4*b**4 - 1/15*b**5 + a*b - 3. Factor y(z).
-z*(z - 1)**3/3
Let f be (242/(-3465))/(8/(-50)). Let s = -3/14 + f. Factor 0 + 0*p + 2/9*p**2 - 2/9*p**4 - s*p**5 + 2/9*p**3.
-2*p**2*(p - 1)*(p + 1)**2/9
Let s(g) be the second derivative of g**5/210 + g**4/42 + g**3/21 - 2*g**2 + 2*g. Let j(o) be the first derivative of s(o). Factor j(p).
2*(p + 1)**2/7
Let p be (-112)/(-21)*-1 - -6. Determine d so that -p*d**3 + 4/3 + 2/3*d**4 + 2/3*d - 2*d**2 = 0.
-1, 1, 2
Let 0*a + 0 - 4/5*a**4 - 8/5*a**2 + 12/5*a**3 = 0. Calculate a.
0, 1, 2
Suppose -2*f - 2 = w, 3 = -w - 3*f - 1. Let c be w/(-9) + 76/18. Factor -2/3*a**2 + 0 + 0*a + a**3 + 5/3*a**c.
a**2*(a + 1)*(5*a - 2)/3
Let r(z) be the second derivative of 4/3*z**2 - 1/45*z**6 - 4*z + 1/6*z**5 - 1/63*z**7 + 1/18*z**4 + 0 - 8/9*z**3. Suppose r(i) = 0. Calculate i.
-2, 1
Let f(g) = 3*g**3 - 4*g**2 - 3*g + 4. Let b(l) = -3*l**3 + 5*l**2 + 3*l - 5. Let w(p) = -6*b(p) - 7*f(p). Factor w(c).
-(c - 1)*(c + 1)*(3*c + 2)
Suppose -4*j + 9*j = 25. Let t(f) be the third derivative of 0 + 0*f**3 + 0*f + 2*f**2 - 1/42*f**4 + 1/210*f**j + 1/420*f**6. Factor t(i).
2*i*(i - 1)*(i + 2)/7
Let b(j) = -j**5 + 6*j**4 + 11*j**3 + 2*j**2 - 2*j - 2. Let c(z) = -z**5 + z**3 + z**2 - z - 1. Let p(v) = -5*b(v) + 10*c(v). Factor p(i).
-5*i**3*(i + 3)**2
Let f(t) be the first derivative of 0*t**2 - 4/25*t**5 + 1/15*t**6 + 1/10*t**4 + 0*t**3 + 1 + 0*t. What is o in f(o) = 0?
0, 1
Let t be ((-2)/(-60))/(112/24). Let o(p) be the third derivative of 0*p - p**2 + 0*p**5 + 1/21*p**4 + 0*p**3 + 1/735*p**7 + 0 - t*p**6. Factor o(s).
2*s*(s - 2)**2*(s + 1)/7
What is o in -18*o**5 + 16*o**3 + 8*o + 3*o + 6*o**4 - 8*o**2 - 11*o = 0?
-1, 0, 2/3
Let i = -87/10 - 899/30. Let o = i - -39. Factor 2/3*j**2 - 1/3*j + o*j**3 - 2/3.
(j - 1)*(j + 1)*(j + 2)/3
Find o, given that 1/2*o**2 + 1/2*o**4 + 0*o - o**3 + 0 = 0.
0, 1
Let s(a) = 7*a**3 + 25*a**2 - 7*a + 1. Let n(p) = 3*p**3 + 12*p**2 - 3*p. Let c(w) = -13*n(w) + 6*s(w). Factor c(q).
3*(q - 2)*(q - 1)*(q + 1)
Factor 19*h**4 + 12*h**3 - 27*h**3 + 3*h**2 - 7*h**4.
3*h**2*(h - 1)*(4*h - 1)
Let t(w) be the first derivative of 0*w - 4/21*w**3 + 0*w**2 - 5/21*w**6 - 9/14*w**4 - 24/35*w**5 + 3. Find q such that t(q) = 0.
-1, -2/5, 0
Let z(a) = a**2 - 6*a + 4. Let o be z(6). Suppose o*b - 6 - 2 = 0. Factor -2*f**2 - 6 + 3 + 4*f**b - 1 - 2*f.
2*(f - 2)*(f + 1)
Let j be 2*-1*(-18)/12. Determine f, given that 0*f**3 - f**j - f + 2*f**3 = 0.
-1, 0, 1
Let c(i) be the first derivative of i**3 - 1/5*i**5 + 0*i + 0*i**4 - i**2 - 3. Factor c(g).
-g*(g - 1)**2*(g + 2)
Let u(k) = k**3 + 2*k**2 - 2*k - 2. Let o be u(-2). Determine r so that 2*r**2 + r**o - r**2 - 2 = 0.
-1, 1
Let h(p) = 2*p**2 - p - 4. Let d be h(2). Let -2*w**3 - 2*w**3 - d*w**4 + 2*w**5 + 2*w**3 + w**2 + w**2 = 0. What is w?
-1, 0, 1
Factor -21*s**4 + 0*s**3 + 22*s**4 - 3*s**3.
s**3*(s - 3)
Let z(t) be the first derivative of -t**3/18 + 10. Suppose z(n) = 0. Calculate n.
0
Let h be 0 - (36/8 + -5). Suppose -1/2*i**2 + 0*i + h*i**3 + 0 = 0. What is i?
0, 1
Let m be (76/57)/((-4)/3 + 2). Let v(d) be the second derivative of -3*d + 0*d**3 + 0 - 1/15*d**6 + 1/5*d**5 + 0*d**m - 1/6*d**4. What is b in v(b) = 0?
0, 1
Let k = 2425/4 + -606. Factor -1/2*z - k - 1/4*z**2.
-(z + 1)**2/4
Let m(i) be the first derivative of i**3/6 + i**2/4 - 4. What is q in m(q) = 0?
-1, 0
Factor 83*c**4 - 86*c**4 - 5*c**3 + 7*c**3.
-c**3*(3*c - 2)
Let 8*v**2 - 164*v**2 + 50*v**4 + 5*v**3 - 54*v**2 + 40 - 20*v = 0. Calculate v.
-2, -1/2, 2/5, 2
Suppose -r = -4, 2*r - 13 = t - 2*r. Solve -2/3*s + 0 - 1/3*s**t - s**2 = 0 for s.
-2, -1, 0
Let p = 10 - 19/2. Suppose l + 3*j = 14, -2*l - 3*j = l - 18. Suppose -p*z**l + 1/2 + 0*z = 0. Calculate z.
-1, 1
Factor 4*a**2 + 12/5*a**3 + 0 + 8/5*a.
4*a*(a + 1)*(3*a + 2)/5
Suppose 5*q - 8*s - 31 = -4*s, -2*q - 3*s - 6 = 0. Let i be (1 - 17)/(q - 5). Factor 14*x**2 - 6*x - 8*x**4 + 10*x + 8*x - 15*x**3 - i - x**4.
-(x + 1)*(x + 2)*(3*x - 2)**2
Suppose 0 = 3*h + 12. Let n = 5 + h. Solve v**2 + 5*v**3 - n - v**3 + v - 5*v**3 = 0 for v.
-1, 1
Let j(h) be the third derivative of -h**6/160 - 7*h**5/160 + h**4/16 + 25*h**2. Suppose j(r) = 0. Calculate r.
-4, 0, 1/2
Let i(a) be the third derivative of -a**6/420 - 13*a**5/420 - a**4/7 - 3*a**3/14 - 10*a**2. Factor i(u).
-(u + 3)**2*(2*u + 1)/7
Solve -w**5 + 2*w**2 + 2*w**3 + 1 - w**5 - 6*w**2 + 3*w**4 = 0.
-1, -1/2, 1
Let h(n) = 65*n**3 - 2135*n**2 + 10935*n - 8910. Let s(w) = -3*w**3 + 97*w**2 - 497*w + 405. Let z(f) = -2*h(f) - 45*s(f). Let z(v) = 0. Calculate v.
1, 9
Suppos