o that f(k) = 0.
-2, -1, 2/7
Let r(m) be the third derivative of 0*m**3 - 2/15*m**5 - m**2 + 0*m - 17/105*m**7 - 5/168*m**8 + 0*m**4 + 0 - 4/15*m**6. What is y in r(y) = 0?
-2, -1, -2/5, 0
Factor 21 + 15*k**2 + 296*k + 4 - 341*k + 5*k**3.
5*(k - 1)**2*(k + 5)
Let c(f) be the third derivative of f**8/30240 - f**5/60 - f**2. Let g(i) be the third derivative of c(i). Factor g(h).
2*h**2/3
Let h(x) = -2*x - 5. Let w(q) = -q**3 + 4*q**2 - 4. Let n be w(4). Let s be h(n). Suppose 2*r + 0*r**3 + 3*r**s - r**3 - 4*r**2 = 0. Calculate r.
0, 1
Let r(c) be the third derivative of -c**8/63 - 4*c**7/63 - 11*c**6/120 - c**5/18 - c**4/72 - 8*c**2. Factor r(p).
-p*(p + 1)**2*(4*p + 1)**2/3
Solve -1/6*t**2 + 5/3*t - 25/6 = 0 for t.
5
Let h(a) = 4*a**4 - 2*a**3 - 2*a**2 + 2*a - 4. Let y(n) = -n**4 - n**3 + n**2 + n + 1. Let p(o) = h(o) + 2*y(o). What is m in p(m) = 0?
-1, 1
Let d(h) be the third derivative of h**9/5040 - h**8/1120 + h**7/840 + h**4/8 - 2*h**2. Let w(t) be the second derivative of d(t). Solve w(c) = 0.
0, 1
Let g = -2 - -6. Let s be -1 - (-2)/(g/3). Factor s*c**3 - 1/4*c**4 - 1/4*c**2 + 0*c + 0.
-c**2*(c - 1)**2/4
Suppose 5*v + 12 - 37 = 0. Let f(o) be the first derivative of 0*o + 1/2*o**4 + 3 + 2/5*o**v - o**2 - 2/3*o**3. Factor f(c).
2*c*(c - 1)*(c + 1)**2
Suppose 6 = -q + 4*q. Let r(t) be the second derivative of -1/6*t**4 - 2*t + 1/6*t**3 + 1/2*t**q + 0. Factor r(n).
-(n - 1)*(2*n + 1)
Let w be (-34)/176 + (-36)/(-96). Determine f so that 8/11 + 0*f - w*f**2 = 0.
-2, 2
Let m = 2/75 + 16/25. Solve -4/3*h - m*h**2 + 0 = 0.
-2, 0
Let c(v) = -3*v**3 + 22*v**2 - 62*v + 50. Let j(y) = -3*y**3 + 21*y**2 - 63*y + 51. Let r(u) = -3*c(u) + 2*j(u). Determine f, given that r(f) = 0.
2, 4
Let h(q) = -q - 2. Let z be h(-5). Suppose 0 = z*i + 2*i. Factor 1 + 1 + 4*s + i + 2*s**2.
2*(s + 1)**2
Let r = -7 - -10. Factor -3*p**5 + 0*p - 3*p + 6*p**r + 2*p**4 - 2*p**4.
-3*p*(p - 1)**2*(p + 1)**2
Let d(j) = -2*j**3 - 3*j**2 - 2*j + 2. Let c be d(-2). Suppose 3*x + 2*x = c. Factor -2/9*y**4 + 2/9*y**x - 2/9*y**3 + 0 + 0*y + 2/9*y**5.
2*y**2*(y - 1)**2*(y + 1)/9
Let l = 154 + -1076/7. Factor -4/7*v**3 + l*v**2 + 0*v + 2/7*v**4 + 0.
2*v**2*(v - 1)**2/7
Let o(h) = -h**2 + h + 5. Let y be o(0). Let 6 + y*n**2 - 7*n**2 + 3*n - n**2 = 0. Calculate n.
-1, 2
Let o(n) be the third derivative of 5*n**8/336 - 2*n**7/21 + n**6/6 + n**5/6 - 25*n**4/24 + 5*n**3/3 - n**2. Solve o(w) = 0 for w.
-1, 1, 2
Let z be 0 + (33/27 - 1). What is r in 2/9*r**2 - z + 0*r = 0?
-1, 1
Let z be 1/4 - 51/12. Let i = z - -6. Solve -3/2*o**3 + 0*o + 1/2*o**i - 1/2*o**5 + 3/2*o**4 + 0 = 0.
0, 1
Let h = 76 + -72. Let q(j) be the third derivative of 1/18*j**3 - 3*j**2 + 0*j + 1/180*j**5 + 1/36*j**h + 0. Determine a, given that q(a) = 0.
-1
Let q(o) be the second derivative of -7*o**6/75 - 9*o**5/50 - o**4/15 - 12*o. Factor q(w).
-2*w**2*(w + 1)*(7*w + 2)/5
Suppose 1/5*s**2 - 4/5*s - 1 = 0. Calculate s.
-1, 5
Let i be -3 + (-4 + 15 - (-6)/(-2)). Factor 0 + 4/7*z**3 - 2/7*z + 0*z**4 - 2/7*z**i + 0*z**2.
-2*z*(z - 1)**2*(z + 1)**2/7
Let n(d) be the first derivative of -d**6/39 + 4*d**5/65 + d**4/13 - 8*d**3/39 - d**2/13 + 4*d/13 - 1. Solve n(a) = 0.
-1, 1, 2
Let n = -11 + 13. Factor 5*l**3 - 6*l**2 - 3*l + 5 + 1 - n*l**3.
3*(l - 2)*(l - 1)*(l + 1)
Factor 0*w**2 + 0*w - 16/3*w**4 - 64/3*w**3 + 0 - 1/3*w**5.
-w**3*(w + 8)**2/3
Suppose -2*a + q = -7, -q + 0 - 2 = -a. Suppose 5*k - 15 = a. Suppose 0*w**3 + 0*w + 2/7*w**2 + 0 - 2/7*w**k = 0. Calculate w.
-1, 0, 1
Let p = -35/4 + 113/12. Let t(y) be the first derivative of -3 - 2/65*y**5 + 12/13*y**2 + 3/13*y**4 - 8/13*y - p*y**3. Find s such that t(s) = 0.
1, 2
Solve 1/12*t**5 + 1/4*t**3 + 5/12*t**4 - 3/4*t**2 + 0*t + 0 = 0.
-3, 0, 1
Let -1/3*r**3 - 1/3*r**2 + 0*r + 0 = 0. Calculate r.
-1, 0
Let w be ((-4)/42)/(4/(-12)). Find i such that -w + 4/7*i - 2/7*i**2 = 0.
1
Let k(m) be the first derivative of -m**7/210 + m**6/120 + m**5/60 - m**4/24 + 3*m**2/2 - 3. Let w(i) be the second derivative of k(i). Factor w(b).
-b*(b - 1)**2*(b + 1)
Let s(o) be the first derivative of o**5/14 + o**4/6 + 2*o**3/21 - o - 3. Let n(b) be the first derivative of s(b). What is h in n(h) = 0?
-1, -2/5, 0
Let z be 1 - 1 - (-8)/(-4). Let a be 24/(-21) + z + 4. Factor -6/7*q**3 - 2/7*q + 2/7*q**4 + 0 + a*q**2.
2*q*(q - 1)**3/7
Suppose -k - y - 6 = -1, 0 = 3*k - 2*y - 5. Let w be (0 + 1)*(k - -6). Factor 2*c**3 + c - w*c + 2*c.
2*c*(c - 1)*(c + 1)
Factor 2/11*z**2 + 6/11*z**4 - 2/11*z**5 - 6/11*z**3 + 0*z + 0.
-2*z**2*(z - 1)**3/11
Let u be 5 + 2 + (3 - 2). Solve -8*x**4 + 4*x - 5*x + 12*x**3 - u*x**2 + 3*x - x**5 + 3*x**5 = 0.
0, 1
Factor 5/2*h**2 + 1/2*h + 0.
h*(5*h + 1)/2
Let g(t) be the third derivative of t**8/224 + t**7/140 - 3*t**6/80 - t**5/40 + t**4/8 - 24*t**2. Find i, given that g(i) = 0.
-2, -1, 0, 1
Let h be -1 - (-6 - (0 + -1)). Let z(c) be the third derivative of 0 + 2*c**2 - 1/24*c**h + 1/40*c**6 + 0*c**3 + 0*c - 1/30*c**5. What is y in z(y) = 0?
-1/3, 0, 1
Let r = 9 - 6. What is h in r*h - 1 - 2*h**3 - 3*h**5 - 2*h**2 - 6*h**5 + 8*h**5 + 3*h**4 = 0?
-1, 1
Factor -3*k**5 - 10*k**2 + 16*k**3 + 14*k**2 + 5*k**5 - 6*k**3 + 8*k**4.
2*k**2*(k + 1)**2*(k + 2)
Let i(z) = -z**2 + 9*z + 2. Let u be i(9). Let j(r) be the first derivative of -1 + 0*r + 0*r**3 + 1/2*r**4 - r**u. What is h in j(h) = 0?
-1, 0, 1
Let n be (-2)/(-6) + (-1255)/1740. Let v = -4/29 - n. Factor 3/4*b**2 + v*b + 0.
b*(3*b + 1)/4
Let v(x) be the third derivative of x**9/7560 - x**8/1400 + x**7/1050 + x**3/2 - x**2. Let n(z) be the first derivative of v(z). Find w, given that n(w) = 0.
0, 1, 2
Let 34 + 6 + 16*w - 54*w + 15*w**3 - 10*w**2 - 22*w = 0. Calculate w.
-2, 2/3, 2
Let 0 + 16/5*k - 2/5*k**2 = 0. Calculate k.
0, 8
Let y(a) = -a**3 + 6*a**2 + 11*a - 25. Let j be y(7). Let 0*l - 4/3*l**2 + 2*l**5 + 0 + 14/3*l**j - 16/3*l**4 = 0. Calculate l.
0, 2/3, 1
Let g(m) = -7*m**4 + 8*m**3 - 5*m**2 - 16*m + 8. Let x(n) = -6*n**4 + 9*n**3 - 6*n**2 - 15*n + 9. Let d(u) = 3*g(u) - 4*x(u). Find q, given that d(q) = 0.
-1, 1, 2
Let i be ((-5)/(-4))/((-3)/(-12)). Let m(v) be the third derivative of v**2 + 0 + 1/15*v**i + 0*v**4 + 0*v - 1/12*v**6 + 0*v**3. Determine y so that m(y) = 0.
0, 2/5
Let q(m) = 29*m**3 - 51*m**2 + 15*m - 5. Let d = 6 + 2. Let l(p) = -88*p**3 + 152*p**2 - 46*p + 14. Let f(a) = d*q(a) + 3*l(a). Factor f(v).
-2*(v - 1)*(4*v - 1)**2
Let t be 160/100*2/8. Let x(y) = 2*y. Let o be x(1). Determine p so that 4/5*p**o - 2/5*p + t*p**3 - 4/5 = 0.
-2, -1, 1
Factor 14/5*m + 2/5*m**3 - 2*m**2 - 6/5.
2*(m - 3)*(m - 1)**2/5
Solve -3/4*x - 3/4*x**2 + 0 = 0.
-1, 0
Let v(n) be the first derivative of -1/9*n**6 - 4 + 2/15*n**5 + 0*n + 1/6*n**4 - 2/9*n**3 + 0*n**2. Factor v(t).
-2*t**2*(t - 1)**2*(t + 1)/3
Let n = -8/65 + 401/2730. Let j(d) be the second derivative of 0*d**2 + 0 + 0*d**3 - d - n*d**4 - 1/105*d**6 - 1/35*d**5. Suppose j(l) = 0. What is l?
-1, 0
Let v be (-4)/14 - (-134)/(-448)*-2. Let u(o) be the second derivative of 1/15*o**6 + 1/168*o**7 + o**2 + 7/6*o**3 + 0 + 19/24*o**4 - 3*o + v*o**5. Factor u(p).
(p + 1)**2*(p + 2)**3/4
Let b(d) be the first derivative of -4*d**5/5 + 4*d**3 + 4*d**2 + 3. Factor b(o).
-4*o*(o - 2)*(o + 1)**2
Let z be -8 - (-8)/(-60)*-108. Factor z*n**4 + 0 + 0*n + 4/5*n**2 + 14/5*n**5 + 22/5*n**3.
2*n**2*(n + 1)**2*(7*n + 2)/5
Let f(i) be the second derivative of i**6/30 - i**5/20 - i**4/6 - 44*i. Factor f(s).
s**2*(s - 2)*(s + 1)
Let y(d) = -20*d**3 + 16*d + 4. Let i(k) = 21*k**3 + k**2 - 17*k - 5. Let x(g) = 4*i(g) + 3*y(g). Factor x(z).
4*(z - 1)*(2*z + 1)*(3*z + 2)
Let k(d) = 7*d**3 + 11*d**2 + 17*d + 13. Let v(t) = -6*t**3 - 12*t**2 - 18*t - 12. Let x(u) = 3*k(u) + 4*v(u). Let x(j) = 0. What is j?
-3, -1
Factor 42*b**5 - 4*b**3 - 1322*b**2 + 2*b**4 + 1322*b**2.
2*b**3*(3*b + 1)*(7*b - 2)
Let v = -15 - -9. Let o be v/2 + (-5)/(-1). Factor 0*k**o + 0 - 2/7*k**3 + 2/7*k.
-2*k*(k - 1)*(k + 1)/7
Let i(k) be the second derivative of -k**4/6 - 11*k**3/7 + 10*k**2/7 + 11*k. Factor i(q).
-2*(q + 5)*(7*q - 2)/7
Let b(x) be the second derivative of 0*x**3 - 4*x + 0 + 0*x**2 + 0*x**5 + 0*x**4 + 0*x**6 + 1/126*x**7. Determine n so that b(n) = 0.
0
Let f be (3/27*-6)/(-1*2). Factor -f*q**4 + 0*q**3 + 1/3*q**2 - 1/6*q**5 + 1/6*q + 0.
-q*(q - 1)*(q + 1)**3/6
Suppose -30*q = 23*q - 