 1)**3/2
Let q(s) = -s**2 - 9*s - 20. Let d be q(-5). Suppose 0*b**2 + 0 - 2/5*b**5 - 2/5*b**4 + 0*b + d*b**3 = 0. What is b?
-1, 0
Let a = -20 + 24. Suppose 16 = -5*f + 3*f - a*d, -3*f + 1 = d. Let 3/4*n**3 + 1/4*n + 0 - 1/4*n**4 - 3/4*n**f = 0. What is n?
0, 1
Suppose -9/4*p**2 + 0*p + 1/4*p**5 + 3/4*p**3 + 0 + 5/4*p**4 = 0. What is p?
-3, 0, 1
Let l(g) be the first derivative of -3*g**6 - 24*g**5/5 - g**4/2 + 4*g**3/3 + 1. Let l(p) = 0. Calculate p.
-1, -2/3, 0, 1/3
Let b(d) be the second derivative of d**7/105 - d**6/60 - d**5/15 - d**2/2 - 2*d. Let c(f) be the first derivative of b(f). Find r, given that c(r) = 0.
-1, 0, 2
Let m = 123 - 119. Factor 3/2*z**3 - z**2 + 1/4*z + 0 + 1/4*z**5 - z**m.
z*(z - 1)**4/4
Let g be (6/6)/(1/(-12)). Let m be ((-10)/g)/(-5)*-3. Solve -5/2*f**2 - 2 - 4*f - m*f**3 = 0.
-2, -1
Let v = -8 + 13. Let z be (6/(-10))/((-1)/v). Suppose 8/7*r**4 - 8/7*r**2 + 2/7*r + 4/7*r**z - 6/7*r**5 + 0 = 0. What is r?
-1, 0, 1/3, 1
Factor -18/19 + 20/19*t - 2/19*t**2.
-2*(t - 9)*(t - 1)/19
Let l be (-2)/6 + (-5)/(-6). Let b(a) = -6*a - 5. Let t be b(-1). Factor 0*k**2 - l*k**3 + t + 3/2*k.
-(k - 2)*(k + 1)**2/2
Suppose 12*c**2 + 8*c + 78 - c**3 + 9*c**3 - 76 + 2*c**4 = 0. What is c?
-1
Let x(b) be the second derivative of -3*b**5/140 + b**4/28 - 4*b. Suppose x(p) = 0. Calculate p.
0, 1
Let k = 4328 - 30428/7. Let z = -128/7 - k. Factor z*o**2 + 0 + 2/7*o.
2*o*(2*o + 1)/7
Suppose 0 = -6*p - 4 + 28. Let -1/2*y**2 + y**3 + 0 - y + 1/2*y**p = 0. What is y?
-2, -1, 0, 1
Let g(t) be the first derivative of 4*t**5/5 + 3*t**4 + 4*t**3 + 2*t**2 + 6. Factor g(x).
4*x*(x + 1)**3
What is f in -2/5*f**2 + 2/5*f**4 + 0 + 2/5*f - 2/5*f**3 = 0?
-1, 0, 1
Let c(a) be the third derivative of -a**9/141120 + a**8/23520 - a**7/11760 - a**5/12 + 3*a**2. Let z(m) be the third derivative of c(m). Solve z(q) = 0.
0, 1
Let s be (-3)/2*2/(-3). Let j = 1 + s. Determine u, given that 0 + 0*u - 4/5*u**3 - 2/5*u**4 + 0*u**j = 0.
-2, 0
Let u = 68/21 + -18/7. Factor 8/3*b**3 - 2/3 + 8/3*b - 4*b**2 - u*b**4.
-2*(b - 1)**4/3
Let y(s) = -s**3 + 14*s**2 - 13*s - 18. Let f be y(13). Let k = -82/5 - f. Solve 8/5 + 2/5*t**2 - k*t = 0 for t.
2
Let v = 5/54 + 73/378. Factor 0 + v*r**2 - 2/7*r.
2*r*(r - 1)/7
Suppose -19 = -3*q - 7. Let a(t) be the second derivative of 0*t**3 + 0*t**2 + 7/75*t**6 - 1/25*t**5 - 4/105*t**7 + 0 + 2*t - 1/30*t**q. What is k in a(k) = 0?
-1/4, 0, 1
Let x = 6 - 8. Let f = 0 - x. Factor 3*y**3 - 2*y**3 - f*y**4 - y**5 + 2*y**5.
y**3*(y - 1)**2
Let b(i) = i + 10. Let p be b(-8). Find c, given that 8*c**4 + 11*c - 4 - 4*c**p - c + 0*c - 2*c**5 - 8*c**3 = 0.
-1, 1, 2
Let d(k) be the third derivative of -k**10/45360 + k**9/7560 - k**8/3360 + k**7/3780 - k**4/8 - 3*k**2. Let q(l) be the second derivative of d(l). Factor q(m).
-2*m**2*(m - 1)**3/3
Let o = -38 + 41. Factor 0 - 1/2*n + 0*n**2 + 1/2*n**o.
n*(n - 1)*(n + 1)/2
Suppose -2*h - h = -12. Let p be (-3)/6 + 42/h. What is w in 4 + 30*w**2 + 4*w + 2*w + 6*w + p*w = 0?
-2/5, -1/3
Let o(l) = -3*l**2 - l. Let f be 2/(-4) - (-15)/6. Let q(b) = -6*b**2 - b. Let p(g) = f*q(g) - 5*o(g). Factor p(c).
3*c*(c + 1)
Let u(i) be the first derivative of i**5/30 + i**4/6 + 2*i**3/9 + i - 3. Let x(b) be the first derivative of u(b). Factor x(n).
2*n*(n + 1)*(n + 2)/3
Let o(b) be the first derivative of b**5/25 - 3*b**4/20 + 2*b**3/15 + 12. Factor o(t).
t**2*(t - 2)*(t - 1)/5
Find m such that -15 + 6*m**5 - 3*m**3 + 15 - 3*m + 9*m**2 - 9*m**4 + 0*m = 0.
-1, 0, 1/2, 1
Suppose 0*b = -3*b + 9. Factor 1/2*x - 1/2*x**b + 1/2*x**2 - 1/2.
-(x - 1)**2*(x + 1)/2
Factor -14/3 + 2/3*p**2 - 4*p.
2*(p - 7)*(p + 1)/3
Let b(r) be the first derivative of 1/10*r**4 - 8 - 2/25*r**5 + 0*r + 0*r**2 + 0*r**3. Factor b(u).
-2*u**3*(u - 1)/5
Suppose -15 = -5*y + 5*a, -3*y - 3*a = -8*y + 9. Factor y*r - 2/9*r**2 + 8/9.
-2*(r - 2)*(r + 2)/9
Let t = 9 - 4. Let p(m) = m**2 - 5*m + 2. Let h be p(t). Suppose 1/4*r**3 + 0 + 1/2*r**h + 1/4*r = 0. Calculate r.
-1, 0
Let k(l) = -3*l. Suppose -19 = 3*b - 4*y, 2*b - y = -4*y + 10. Let u be k(b). Factor 2 + 4*v + 2*v**u - v**2 - 4*v**2 - 3.
(v - 1)**2*(2*v - 1)
Suppose -6*n**3 - 3 + 6*n**4 - 3/2*n**5 + 15/2*n - 3*n**2 = 0. What is n?
-1, 1, 2
Let f(q) be the third derivative of -q**9/75600 + q**8/100800 + q**5/15 - 2*q**2. Let d(t) be the third derivative of f(t). Suppose d(w) = 0. What is w?
0, 1/4
Find y, given that -y**5 - y**3 - 2*y**3 + 4*y**5 = 0.
-1, 0, 1
Factor -162/7 - 108/7*t**2 - 24/7*t**3 - 2/7*t**4 - 216/7*t.
-2*(t + 3)**4/7
Let w(h) = -3*h**3 - 5*h - 5. Let k be w(-1). Suppose 1/4*c**4 + 1/4*c**5 - 1/4*c**2 - 1/4*c**k + 0*c + 0 = 0. What is c?
-1, 0, 1
Factor 13*u**2 + 36 - 10*u**2 + 67*u - 28*u.
3*(u + 1)*(u + 12)
Let p(z) be the third derivative of -z**5/12 + 25*z**4/12 + 55*z**3/6 - 41*z**2. Suppose p(x) = 0. Calculate x.
-1, 11
Let z(t) be the second derivative of 1/2*t**2 + 0 + 1/90*t**5 + t + 0*t**3 + 0*t**4. Let f(g) be the first derivative of z(g). Determine w so that f(w) = 0.
0
Let u be -4 - (-2)/(2 - 4). Let c = -3 - u. What is h in 0*h - h**2 + h**4 - 3*h**3 + 0 + 3*h + 2 - c*h**4 = 0?
-2, -1, 1
Suppose -5*m - 5*q = -35, -m - 2*m + 4*q - 14 = 0. Suppose -2*u + 5 - u**m + u - 1 - 2 = 0. What is u?
-2, 1
Let u(l) = 6*l**4 - 10*l**3 + 2*l**2 + 2*l. Let g(k) = 11*k**4 - 19*k**3 + 5*k**2 + 3*k. Let w(f) = -6*g(f) + 13*u(f). Suppose w(s) = 0. What is s?
-2/3, 0, 1
Let y be ((-25)/200)/(2/(-32)). Factor 3/4*i**y + 0 - 3/4*i**3 + 0*i.
-3*i**2*(i - 1)/4
Let y(k) be the second derivative of 13*k**4/4 + k**3 - 31*k + 1. Solve y(m) = 0 for m.
-2/13, 0
Let t(c) be the first derivative of c**4/14 + 16*c**3/21 + 16*c**2/7 - 25. Factor t(q).
2*q*(q + 4)**2/7
Let w(u) = -u**2 - 4*u + 3. Let r be w(-5). Let x(z) = -3*z**3 + 7*z + 8. Let q(f) = -12*f**3 + 27*f + 33. Let j(p) = r*q(p) + 9*x(p). Solve j(s) = 0.
-1, 2
Let c(r) = r - 6. Let a be c(9). Factor 0*k + k**a + 0*k - k**4 - k**2 + 2*k**4 - k**5.
-k**2*(k - 1)**2*(k + 1)
Let f = 20 + -59/3. Let x(w) = -w**2 - 5*w - 4. Let q be x(-4). Factor -1/3*i**2 + 0 - f*i**3 + q*i.
-i**2*(i + 1)/3
Let k(l) be the first derivative of -l**6/12 + l**5/10 + l**4 - 4*l**3/3 - 4*l**2 + 8*l - 7. Find v, given that k(v) = 0.
-2, 1, 2
Let m = 12 + -9. Determine a so that 2*a**m + a**3 - 81 + 81*a + 0*a**3 - 25*a**2 - 2*a**2 = 0.
3
Let x(t) be the first derivative of -16*t**5/35 - 13*t**4/7 - 20*t**3/7 - 2*t**2 - 4*t/7 - 5. Solve x(c) = 0 for c.
-1, -1/4
Suppose 17*a = 5*a + 72. Factor 9/2*q**4 + a*q**3 + 3/2*q**2 + 0*q + 0.
3*q**2*(q + 1)*(3*q + 1)/2
Let g(d) be the first derivative of -1 + 1/4*d**2 + 1/3*d**3 + 0*d**4 - 1/5*d**5 - 1/12*d**6 + 0*d. Suppose g(u) = 0. Calculate u.
-1, 0, 1
Let y = 0 + -2. Let w be 0/2*y/(-2). Determine n so that -4/7*n**4 + 2/7*n - 2/7*n**5 + 0*n**3 + 4/7*n**2 + w = 0.
-1, 0, 1
Let t(b) = -3*b**3 + b + 1. Let k be t(-1). Determine r so that 0*r**3 - k*r**2 - 3*r**3 + 3*r + 3 + r**2 - r**2 = 0.
-1, 1
Let n(p) be the third derivative of p**7/105 + p**6/48 - p**5/40 - 5*p**4/48 - p**3/12 - p**2. What is s in n(s) = 0?
-1, -1/4, 1
Solve -9*g**3 - 118*g + 62*g - 9*g**3 - 60*g**2 - 16 = 0 for g.
-2, -2/3
Factor 8/11 + 1458/11*w**2 + 216/11*w.
2*(27*w + 2)**2/11
Let d(g) be the first derivative of -2*g**3/9 - g**2/3 + 4*g/3 + 7. Determine o so that d(o) = 0.
-2, 1
Let v(f) be the first derivative of -f**5/120 - f**4/48 + 9*f**2/2 + 7. Let h(k) be the second derivative of v(k). Factor h(x).
-x*(x + 1)/2
Let o(u) = u - 1. Let z be o(5). Let p(f) be the third derivative of f**2 - 1/30*f**5 - 1/3*f**3 + 1/6*f**z + 0*f + 0. Determine c so that p(c) = 0.
1
Suppose 0 = 4*j + 4*g - 2*g - 4, 0 = -2*g + 4. Factor 0 + 2*o**3 + j - 3*o**2 - o**2.
2*o**2*(o - 2)
Let k = 21 + -18. Let r be 2 + (-1 - (-3)/k). Factor -1/4 - 3/4*u - 1/4*u**3 - 3/4*u**r.
-(u + 1)**3/4
Suppose 0 = 4*f + 2*y, -4*f + 5*y + 6 = -22. Determine u, given that -1 + 7/4*u**f + 3*u = 0.
-2, 2/7
Factor 6*o**4 + 4/3*o**2 + 0*o + 22/3*o**3 + 0.
2*o**2*(o + 1)*(9*o + 2)/3
Let r(n) be the first derivative of -6 + 1/2*n + 2*n**3 + 5/4*n**4 + 3/2*n**2 + 3/10*n**5. Find c, given that r(c) = 0.
-1, -1/3
Let v be 2 + (-3 - 10/(-6)). Suppose -6 = -5*m + 9. Factor -4/3*u**m - v*u**5 + 2/3 + 4/3*u**2 + 2*u - 2*u**4.
-2*(u - 1)*(u + 1)**4/3
Let g be 3 + 0 - (49/(-14) + 4). Suppose 9*x*