-3*b + 2*u - 6. Factor 6*y**2 - 4*y - 8*y**4 + 4*y**b + 2*y**5 + 2*y**2 - 2*y**5.
4*y*(y - 1)**3*(y + 1)
Determine f so that -63/2*f + 15/2*f**2 + 49/2 - 1/2*f**3 = 0.
1, 7
Let s = -98632/21 + 4695. Let t = -10/7 - s. Find k such that -1/3*k**2 + 1/3 - 1/3*k**3 + t*k = 0.
-1, 1
Let d be (-2)/7 + (-18)/(-63). Let b(x) be the first derivative of d*x + 2 + 1/8*x**2 - 1/12*x**3. Factor b(q).
-q*(q - 1)/4
Suppose 15*y = -4*y. Let z be (-10)/(-8) - (1 - 0). Let y + z*d**2 + 0*d = 0. What is d?
0
Factor 3 - 76*o**2 - 3 + 78*o**2 + 6*o.
2*o*(o + 3)
Let c(m) be the first derivative of m**6/3 - 2*m**4 - 4*m**3/3 + 3*m**2 + 4*m + 28. Factor c(g).
2*(g - 2)*(g - 1)*(g + 1)**3
Suppose 20 = 10*v - 6*v. Suppose -53*z**4 - 2*z + 58*z**4 - z**3 + 3*z**v - 8*z**2 + 3*z**2 = 0. Calculate z.
-1, -2/3, 0, 1
Suppose -f - 3*v - 2 = 5, 2*v = -4*f + 2. Determine w so that -1 - 2*w**f + 11*w - 7 - 19*w = 0.
-2
Let b be (2 - 6) + 160/35. Factor -4/7*a**4 + 4/7*a**3 + 0*a + 0 - b*a**5 + 4/7*a**2.
-4*a**2*(a - 1)*(a + 1)**2/7
Let s(v) be the second derivative of -7*v**6/240 + v**5/40 - 2*v**3/3 - 4*v. Let g(w) be the second derivative of s(w). Factor g(n).
-3*n*(7*n - 2)/2
Let o(p) = 44*p - 43*p + 9 + p**3 + 8*p**2 - p**2. Let t be o(-7). Suppose 1/3 + 4/3*u**3 + 2*u**t + 1/3*u**4 + 4/3*u = 0. Calculate u.
-1
Let m(q) be the third derivative of -q**6/280 + 3*q**5/35 - 6*q**4/7 + 32*q**3/7 - 3*q**2. Let m(f) = 0. Calculate f.
4
Let c = 8/15 - 2/15. Factor -c*n**5 + 3/5*n**4 + 0*n**2 + 0 + 0*n + 2/5*n**3.
-n**3*(n - 2)*(2*n + 1)/5
Let m = 2 - 7. Let u = 8 + m. Let 5 + 2*o**5 - 2 - 3*o - 3*o**u - 6*o**2 + 9*o**3 + 3*o**4 - 5*o**5 = 0. Calculate o.
-1, 1
Let l(m) be the second derivative of m**7/8820 + m**6/315 + 4*m**5/105 - m**4/3 - m. Let f(i) be the third derivative of l(i). Factor f(w).
2*(w + 4)**2/7
Let m(b) = b - 1. Let w be m(5). Suppose -5*k + 3*g = -14 - 0, -3*k - w*g = -20. Solve -2*j**k + j**2 + 0*j - j + 9*j**3 - 7*j**4 = 0 for j.
-1/3, 0, 1/3, 1
Let w(m) be the third derivative of m**8/1120 + m**7/315 - m**6/360 - m**5/30 - m**4/12 - 2*m**2. Let q(b) be the second derivative of w(b). Factor q(s).
2*(s + 1)**2*(3*s - 2)
Let h be (1/3)/((-2)/(-12)). Factor -5 + 1 + 2*k - k**h - 2 + 5.
-(k - 1)**2
Let l(z) be the first derivative of 0*z + 1 + 1/24*z**6 + 1/12*z**3 - 1/16*z**4 - 1/20*z**5 + 0*z**2. Factor l(x).
x**2*(x - 1)**2*(x + 1)/4
Let o(d) be the third derivative of d**7/630 + d**6/360 - d**5/60 - d**4/72 + d**3/9 + 6*d**2 - d. Find q, given that o(q) = 0.
-2, -1, 1
Let d(t) be the third derivative of t**7/315 + t**6/45 + t**5/18 + t**4/18 - 17*t**2. Let d(h) = 0. What is h?
-2, -1, 0
Let c = 151/5 + -30. Let o(z) be the first derivative of 1 - 8/15*z**3 + 3/5*z**4 - 8/25*z**5 + 1/15*z**6 + 0*z + c*z**2. Factor o(j).
2*j*(j - 1)**4/5
Let p(u) be the first derivative of u**5/35 + u**4/28 - 2*u**3/21 + 6. Determine a so that p(a) = 0.
-2, 0, 1
Suppose -2*d = 0, a + 2*d + 2 - 6 = 0. Factor 10*c + 2 + a*c**2 + 0 + c**3 - 5*c.
(c + 1)**2*(c + 2)
Factor 0*j + 2/7*j**2 + 0 - 2/7*j**3.
-2*j**2*(j - 1)/7
Let p(n) = -6*n**3 + 6*n**2 - 6*n + 6. Let z(w) = 11*w**3 - 5*w**2 - 8*w**2 + 16*w - 11 - 3*w. Let t(l) = 5*p(l) + 3*z(l). Determine d, given that t(d) = 0.
1
Factor 0*k**3 + 1/3*k - 1/2*k**2 + 1/6*k**4 + 0.
k*(k - 1)**2*(k + 2)/6
Suppose 23 = -3*y - 70. Let d = y + 63/2. Let 0*p + 0 + 1/2*p**5 - 1/2*p**3 + 1/2*p**4 - d*p**2 = 0. Calculate p.
-1, 0, 1
Let q = 14 + -10. Factor -6*i**2 + 5*i**3 + q*i - 4*i**3 + i**3.
2*i*(i - 2)*(i - 1)
Let r(y) be the third derivative of y**6/240 + y**5/40 + y**4/16 + y**3/12 - 10*y**2. Let r(c) = 0. What is c?
-1
Let l(n) = -2*n**4 + 18*n**3 + 44*n**2 + 36*n - 4. Let t(w) = 5*w**4 - 54*w**3 - 133*w**2 - 107*w + 11. Let c(p) = -11*l(p) - 4*t(p). Let c(x) = 0. What is x?
-4, -1, 0
Determine a, given that -2/9*a**3 - 8*a + 8/3*a**2 + 0 = 0.
0, 6
Find x such that -4/3 - 8*x**2 + 6*x**3 - 22/3*x = 0.
-1/3, 2
Let k = 158/6303 + 1/191. Let a(c) be the second derivative of 1/33*c**3 + k*c**4 + 0 + 1/110*c**5 - 3*c + 0*c**2. Suppose a(p) = 0. What is p?
-1, 0
Factor -1 + 0 - 15 - 4*a**2 + 0*a**2 - 20*a.
-4*(a + 1)*(a + 4)
Let m(i) be the second derivative of 5*i**7/6 - 8*i**6/3 - 3*i**5/4 + 20*i**4/3 - 10*i**3/3 + 26*i. Suppose m(w) = 0. Calculate w.
-1, 0, 2/7, 1, 2
Let r(b) be the first derivative of b**5/25 - 2*b**3/15 + b/5 - 5. Suppose r(a) = 0. What is a?
-1, 1
Let p = 618 - 3058/5. Factor 2/5*t**2 + p - 16/5*t.
2*(t - 4)**2/5
Let f(u) be the third derivative of u**10/70560 - u**9/35280 - u**8/15680 + u**7/5880 + u**4/6 + 4*u**2. Let z(p) be the second derivative of f(p). Factor z(i).
3*i**2*(i - 1)**2*(i + 1)/7
Let l(u) be the third derivative of u**8/560 - u**7/350 - u**6/100 - 10*u**2. Let l(y) = 0. Calculate y.
-1, 0, 2
Determine h, given that 0*h**4 + 0*h**2 + 0 + 0*h + 1/8*h**5 - 1/8*h**3 = 0.
-1, 0, 1
Let p(z) be the first derivative of -8/25*z**5 - 4/15*z**3 + 0*z + 0*z**2 - 1/15*z**6 - 1 - 1/2*z**4. Factor p(g).
-2*g**2*(g + 1)**2*(g + 2)/5
Suppose -1/8 + 3/4*l - 9/8*l**2 = 0. What is l?
1/3
Let s(f) = f**3 - 2*f**2 + 2*f - 4. Let l be s(2). Factor 1/2*a**5 + 1/2*a**2 + l*a + 0 - 1/2*a**3 - 1/2*a**4.
a**2*(a - 1)**2*(a + 1)/2
Let h(o) be the first derivative of -o**3/36 - o**2/6 - o/4 - 20. Find v, given that h(v) = 0.
-3, -1
Let i(b) = -b - 5. Let g be i(-7). Suppose 3*y + 15 = 0, g*p + 6 = p - 2*y. Solve -r**3 + 3*r + 4*r**2 - 2*r**3 + 7 - 7*r**2 - p = 0.
-1, 1
Let r(x) be the third derivative of -7*x**2 + 1/70*x**5 + 0*x**3 + 0*x - 1/210*x**6 + 0 - 1/84*x**4. Suppose r(o) = 0. What is o?
0, 1/2, 1
Let p(w) be the third derivative of w**8/308 + w**7/55 + 3*w**6/110 - w**5/110 - w**4/22 - 40*w**2. What is x in p(x) = 0?
-2, -1, 0, 1/2
Let y(h) = -h**3 + 5*h**2 + 4*h + 12. Let n be y(6). Let m(a) be the second derivative of 0 + a + n*a**2 + 0*a**3 - 1/24*a**4. Factor m(w).
-w**2/2
Let g(f) be the second derivative of -3*f + 0 + 1/2*f**4 + 1/3*f**3 - 2*f**2. Determine a, given that g(a) = 0.
-1, 2/3
Let j(u) be the first derivative of -3*u**4 + 112*u**3/3 - 110*u**2 - 200*u + 25. Determine g so that j(g) = 0.
-2/3, 5
What is v in 13*v**3 + 11*v**3 + 9*v**5 - 11*v**2 - 5*v**5 - 5*v**2 + 4*v - 16*v**4 = 0?
0, 1
Let h = 1204/5 + -240. Factor 4/5*t**4 + 0 + 0*t**3 - h*t**5 + 0*t**2 + 0*t.
-4*t**4*(t - 1)/5
Let n(m) be the second derivative of -m**6/10 + m**4/4 - 4*m. Solve n(z) = 0.
-1, 0, 1
Solve 19/7*f**2 + 4/7 + 20/7*f - f**5 - 13/7*f**3 - 23/7*f**4 = 0.
-2, -1, -2/7, 1
Let n(x) be the second derivative of -4/7*x**2 - 1/14*x**4 - 2/7*x**3 + 8*x + 0 - 1/140*x**5. What is u in n(u) = 0?
-2
Let q(k) = -k**2 + k + 1. Suppose d = 2*d - 2. Let c(s) = 3*s + d*s - 4*s. Let j(r) = c(r) - q(r). Factor j(h).
(h - 1)*(h + 1)
Let y = -17 + 21. Let o(d) be the first derivative of 0*d**2 + 1/2*d**y - 2 - 4/3*d**3 + 6/5*d**5 + 0*d. Factor o(h).
2*h**2*(h + 1)*(3*h - 2)
Factor 27*z + 31*z**2 + 29*z**2 - 45*z**3 - 47*z + 10*z**4.
5*z*(z - 2)**2*(2*z - 1)
Suppose 4*g + 0 = -5*b + 5, b - 4*g = 1. Let v be (-7)/42*-4*b. Factor v*y**3 + 2/9*y**2 + 2/9*y**4 - 2/3*y - 4/9.
2*(y - 1)*(y + 1)**2*(y + 2)/9
Factor -5/2*s - 1/2*s**4 - 3/2*s**2 + 5/2*s**3 + 2.
-(s - 4)*(s - 1)**2*(s + 1)/2
Let a be (24/(-10))/((-9)/30). Factor -2*r - 6*r + 4*r - a*r**2.
-4*r*(2*r + 1)
Suppose 4*n + 2*a = -14 + 76, -4*a = n - 5. Suppose 25 = -5*d, 3*x - 3 = -4*d - n. Determine m so that 3*m**x + 2*m**3 + 1/2 + 2*m + 1/2*m**4 = 0.
-1
Let j be 77/35 + (-2)/10. Let x(v) be the third derivative of 0 + 2*v**j - 1/210*v**5 + 0*v**3 + 0*v + 1/84*v**4. Determine t so that x(t) = 0.
0, 1
Let z(c) be the second derivative of -c**5/80 + c**4/12 - 5*c**3/24 + c**2/4 - 36*c. Let z(p) = 0. What is p?
1, 2
Factor 8/3*o**3 + 0 + 0*o + 2/3*o**5 + 8/3*o**4 + 0*o**2.
2*o**3*(o + 2)**2/3
Let a be 5/(-2)*(-3 - -1). Let m be 1/(((-10)/(-6))/a). Determine n so that 0*n**2 - 1/2*n**4 + 0*n + 0 + 1/2*n**m = 0.
0, 1
Suppose 6*g - 13 = -1. Factor 14/3*k**3 + 0 + 4/3*k**g + 10/3*k**4 + 0*k.
2*k**2*(k + 1)*(5*k + 2)/3
Let o(f) be the first derivative of -3*f**4/8 - f**3 - 3*f**2/4 + 11. Factor o(q).
-3*q*(q + 1)**2/2
Let z(p) be the second derivative of p**7/28 + p**6/20 - 9*p**5/40 - p**4/8 + p**3/2 + 2*p - 14. Find b such that z(b) = 0.
-2, -1, 0, 1
Let k be (-2 - -2) + 3 + 36. Suppose -4*d + 5*l + 