 Let z(a) = 0. What is a?
-40, 4
Suppose 0 = 6*z + 7*z + 5*z - 5*z. Factor 0*c - 3/4*c**3 + 1/4*c**2 - c**4 + z.
-c**2*(c + 1)*(4*c - 1)/4
What is n in -16/7 + 136/7*n - 289/7*n**2 = 0?
4/17
Suppose 0 = 384*p - 342*p - 84. Factor 4/3*b - 14/3 - 2/21*b**p.
-2*(b - 7)**2/21
Suppose -3*w + 295 + 17 = 0. Let d = w + -102. Factor 3*b**d - 3/2*b**3 - 3 + 3/2*b.
-3*(b - 2)*(b - 1)*(b + 1)/2
Let y(b) be the second derivative of -1/70*b**5 - 1/7*b**4 + 4/21*b**3 + 1/105*b**6 + 0 + 8/7*b**2 + 2*b. What is h in y(h) = 0?
-2, -1, 2
Let t(w) be the third derivative of w**7/42 + w**6/3 + 13*w**5/12 + 5*w**4/4 - 4*w**2 - 9. Factor t(k).
5*k*(k + 1)**2*(k + 6)
Let b = 33224/8701 - 2/8701. Suppose -4/11 - 68/11*j**2 - 30/11*j - b*j**3 = 0. What is j?
-1, -1/3, -2/7
Let z = -10313/27 - -382. Let p(o) be the second derivative of -3*o + 0 + 1/30*o**5 + 0*o**2 + 1/18*o**4 + z*o**3 + 1/135*o**6. Factor p(c).
2*c*(c + 1)**3/9
Let j(s) = -s**3 - 2*s**2 + 5*s - 3. Let p be j(-4). Suppose 4*c - p = 3. Factor 0 - t**4 - t**c - 1/3*t**2 - 1/3*t**5 + 0*t.
-t**2*(t + 1)**3/3
Let d(z) be the third derivative of z**6/60 - 11*z**5/6 - 29*z**4/6 + 112*z**3/3 - 472*z**2. Solve d(p) = 0.
-2, 1, 56
Let s(v) be the first derivative of v**3 - 69*v**2 - 288*v - 151. Factor s(a).
3*(a - 48)*(a + 2)
Find l, given that -5/4*l**3 + 55 + 115/2*l**2 - 445/4*l = 0.
1, 44
Let z = -39/190 - -23/38. What is n in -z*n - 1/5*n**2 + 3/5 = 0?
-3, 1
Let s be (-4 - -3)/(2/2). Let f be (-1)/(s/(1 - -2)). Solve -12*a**4 + 3*a**5 + 8*a**f + 10*a**3 - 6*a**2 - 4*a**3 + a**3 = 0.
0, 1, 2
Let y(t) be the second derivative of t**5/20 - t**4/6 - 4*t**3/3 - 21*t - 1. Determine o, given that y(o) = 0.
-2, 0, 4
Let u(y) = -y**2 + 11*y - 8. Let s be u(7). Let k = s - 14. Factor 33*m**2 + k*m - 9 + 9.
3*m*(11*m + 2)
Let u(a) = 821*a**3 + 180*a**2 - a. Let t(l) = -164*l**3 - 36*l**2. Let g(p) = 11*t(p) + 2*u(p). Factor g(c).
-2*c*(9*c + 1)**2
Let d(b) be the third derivative of b**7/105 + 2*b**6/3 + 59*b**5/5 - 84*b**4 - 441*b**3 + 158*b**2. Factor d(f).
2*(f - 3)*(f + 1)*(f + 21)**2
Let o(l) = -4*l**4 + 232*l**3 - 8*l**2 - 16*l - 8. Let m(j) = -j**4 + 77*j**3 - 3*j**2 - 6*j - 3. Let c(s) = -8*m(s) + 3*o(s). Solve c(b) = 0.
0, 20
Suppose 0 = -n + 3, 5*q + 4*n - 25 = -8. Let a(d) be the first derivative of 0*d + 0*d**2 + 1/3*d**3 - 1/4*d**4 + q. Factor a(u).
-u**2*(u - 1)
Factor -6*d + 5*d + 5*d - 4*d**2 + 8.
-4*(d - 2)*(d + 1)
Let c(f) be the third derivative of -5*f**7/42 - 17*f**6/24 + 7*f**5/6 + 5*f**4/3 - 159*f**2. Factor c(p).
-5*p*(p - 1)*(p + 4)*(5*p + 2)
Suppose -23*k + 52 + 54 = 37. Determine w so that 0*w + 0 - 9/2*w**4 - 3/2*w**5 + 6*w**2 + 0*w**k = 0.
-2, 0, 1
Let j = 156 - 151. Let v(i) be the second derivative of 1/20*i**6 + 0*i**2 + 0*i**4 - 3/40*i**j + 0 + 0*i**3 - 2*i. Factor v(d).
3*d**3*(d - 1)/2
Let t(y) be the first derivative of -2*y**3/9 - 53*y**2/3 - 104*y/3 + 584. Solve t(f) = 0 for f.
-52, -1
Determine f so that 31 - 66 - 12*f - 18*f + 3*f**2 - 37 = 0.
-2, 12
Suppose 15*c + c = -18*c. Let s(m) be the first derivative of 15/2*m**2 - 40/3*m**3 + 15/2*m**4 + c*m**5 - 5/6*m**6 + 0*m - 10. Factor s(w).
-5*w*(w - 1)**3*(w + 3)
Let j(n) = -n**3 - 12*n**2 + 3. Let b be j(-12). Factor 51*r + 9*r**4 + b*r**4 + 4*r**2 + 4*r**5 + 12*r**3 - 51*r.
4*r**2*(r + 1)**3
Let b(g) be the first derivative of 3*g**4/4 + 7*g**3 + 21*g**2/2 - 45*g + 139. Let b(q) = 0. What is q?
-5, -3, 1
Let -6/5*x**3 + 0 + 3/5*x**2 + 1/5*x**4 + 2*x = 0. What is x?
-1, 0, 2, 5
Let w(x) = x**2 + 4*x + 3. Let h be w(-4). Let k be ((-4)/h - (-4 - -3)) + 1. Find y such that 1/3*y**3 + k + 0*y**2 - y = 0.
-2, 1
Let d(x) be the first derivative of 67*x**3/27 - 23*x**2/6 + 2*x/9 + 191. Find z such that d(z) = 0.
2/67, 1
Suppose 2*s + 5*o = 32, -20 = -2*s + 5*o - 7*o. Let a(r) be the first derivative of 7*r**3 - 27/2*r**2 - 9 + s*r. Suppose a(z) = 0. Calculate z.
2/7, 1
Let o(m) be the third derivative of -m**7/1050 + m**6/75 - m**5/60 - 7*m**4/60 + 117*m**2. Solve o(g) = 0 for g.
-1, 0, 2, 7
Let a(o) be the second derivative of -o**4/6 - o**3 + 10*o**2 - 83*o. Factor a(x).
-2*(x - 2)*(x + 5)
Let o(c) = -10*c**5 - c**3 - c**5 - 2 + 11*c**5 - c**5 - 2*c. Let g(i) = -7*i**5 - i**4 - 7*i**3 - 13*i - 13. Let r(a) = -6*g(a) + 39*o(a). Factor r(u).
3*u**3*(u + 1)**2
Factor 9*x**5 - 24*x**5 + 12*x**5 + 80*x**4 - 85*x**3 + 8*x**5.
5*x**3*(x - 1)*(x + 17)
Factor -15*d**3 - 21*d**3 - 28*d**2 - 15 - 4*d**4 + 47 + 36*d.
-4*(d - 1)*(d + 1)**2*(d + 8)
Let p(h) be the third derivative of -2*h**7/105 + 4*h**6/15 - 22*h**5/15 + 4*h**4 - 6*h**3 - 9*h**2. Factor p(n).
-4*(n - 3)**2*(n - 1)**2
Let g(w) be the third derivative of -w**8/224 + 3*w**7/35 + w**6/80 - 3*w**5/10 - 2*w**2 - 9*w. Solve g(t) = 0.
-1, 0, 1, 12
Factor 441/4 + 1/4*l**2 + 21/2*l.
(l + 21)**2/4
Let x(i) = -i + 1. Let k(p) = -676*p**2 + 50*p + 1. Let r(a) = -2*k(a) + 4*x(a). Suppose r(j) = 0. What is j?
1/26
Let h(r) be the first derivative of -r**5/50 + 7*r**4/30 + r**3/15 - 7*r**2/5 - 24*r + 4. Let d(t) be the first derivative of h(t). Factor d(q).
-2*(q - 7)*(q - 1)*(q + 1)/5
Let y(f) = -911*f - 54. Let p be y(-10). Let g be p/608 - 2/38*-2. Determine c, given that 0 + 4/3*c - g*c**5 + 28/3*c**2 - 28/3*c**4 + 41/3*c**3 = 0.
-1, -2/5, -2/9, 0, 1
Factor 1102/7*w + 86/7*w**2 + 3610/7 + 2/7*w**3.
2*(w + 5)*(w + 19)**2/7
Let p(d) be the third derivative of -d**6/120 + d**5/6 - 3*d**4/8 + 79*d**2. Determine m, given that p(m) = 0.
0, 1, 9
Let h(c) be the first derivative of -c**6/1080 + c**5/60 - c**3/3 + 12. Let n(y) be the third derivative of h(y). Factor n(f).
-f*(f - 6)/3
Let a = 136 - 132. Suppose -a*d = -12, m + 6 = 2*d + 2. What is k in 2/3 + 11/9*k + 1/3*k**m = 0?
-3, -2/3
Let i(a) be the second derivative of -2*a**7/63 - 82*a**6/45 - 71*a**5/3 + 1321*a**4/9 - 2816*a**3/9 + 968*a**2/3 + 34*a. Factor i(n).
-4*(n - 1)**3*(n + 22)**2/3
Let g = -797 + 797. Let v(p) be the third derivative of 0*p + 0 + 7*p**2 + 1/240*p**5 - 1/6*p**3 + g*p**4. Suppose v(t) = 0. Calculate t.
-2, 2
Suppose 1126 = 13*z + 1048. Factor -9/5*p**2 + z*p - 9/5.
-3*(p - 3)*(3*p - 1)/5
Let t(l) be the first derivative of 39 + l**4 + 0*l + 16/3*l**3 + 6*l**2. Find n, given that t(n) = 0.
-3, -1, 0
Let z(o) be the third derivative of o**6/540 - 13*o**4/108 + 4*o**3/9 + 6*o**2 + 2. Factor z(p).
2*(p - 3)*(p - 1)*(p + 4)/9
Let c(r) = -r**2 + 9*r + 4. Let k be c(9). Suppose -8*s**5 - s**k + s**5 - 4*s**4 + 2*s**5 = 0. Calculate s.
-1, 0
Factor -59*a + 51*a**2 - 30 + 4*a - 26*a**2 + 60*a**2.
5*(a - 1)*(17*a + 6)
Let m(v) be the third derivative of 0*v + 3/10*v**5 + 0*v**4 + 1/10*v**6 + 0 + v**2 + 1/105*v**7 + 0*v**3. Factor m(j).
2*j**2*(j + 3)**2
Let v(m) be the third derivative of m**8/336 + m**7/42 + m**6/40 - 3*m**5/20 - 330*m**2. Factor v(y).
y**2*(y - 1)*(y + 3)**2
Factor 1/5*s**2 - 19 - 14/5*s.
(s - 19)*(s + 5)/5
Let l = -1550 - -10856/7. Suppose 2/7*u**4 + 0 + 8/7*u - l*u**3 + 0*u**2 = 0. Calculate u.
-1, 0, 2
Let u(j) be the second derivative of j**4/12 + 3*j**3/2 + 3*j**2/2 - j. Let c be u(-9). Solve 1 + 1 - 6*o + 6*o**2 - 2*o**3 + 0*o**c = 0.
1
Let a be 3*1 + ((-27)/(-3) - 4). Determine p, given that -6*p**4 + 5*p**2 - p**4 + 33*p**3 - 20*p - 27*p**2 - 2*p**4 + a = 0.
-2/3, 1/3, 2
Let h(f) be the third derivative of 1/16*f**4 + 0 + 0*f + 28*f**2 - 1/3*f**3 - 1/240*f**5. What is c in h(c) = 0?
2, 4
Let q(y) = -13*y**3 + 45*y**2 + 99*y + 56. Let v(b) = 32*b**3 - 112*b**2 - 248*b - 140. Let j(a) = 12*q(a) + 5*v(a). Factor j(o).
4*(o - 7)*(o + 1)**2
Let a(z) = 4*z**4 - 8*z**3 + 22*z**2 + 14*z - 5. Let t(k) = -3*k**4 + 5*k**3 - 21*k**2 - 13*k + 4. Let m(s) = -4*a(s) - 5*t(s). What is x in m(x) = 0?
-1, 0, 9
Let y be (-25 + (-4 - -9))*-2. Factor 13*m - 113*m**3 - 5*m**2 + y*m**2 + 27*m - 80 + 118*m**3.
5*(m - 1)*(m + 4)**2
Solve -21/2*o**2 + 21/2*o**4 + 0 + 1/2*o**5 - 1/2*o**3 + 0*o = 0 for o.
-21, -1, 0, 1
Let h(j) be the third derivative of j**6/60 + 5*j**5/114 + j**4/38 - 105*j**2 + 1. Suppose h(v) = 0. Calculate v.
-1, -6/19, 0
Let s(h) be the third derivative of -h**6/120 - 49*h**5/60 + 13*h**4/6 + 50*h**3/3 - 875*h**2. Factor s(f).
-(f - 2)*(f + 1)*(f + 50)
Let l be (-2 - (-30)/35)*(17/3 - 8). Factor -l*c**3 + 0*c + 0 - 4/3*c**5 + 4*c**4 + 0*c**2.
-4*c**3*(c - 2)*(c - 1)/3
Let u(y) = -2*y**3 + y**2 - 1. 