 = 0.
-1, 0
Let q(c) be the second derivative of -c**6/120 - 7*c**5/80 - 3*c**4/8 - 5*c**3/6 - c**2 + c. Let q(n) = 0. What is n?
-2, -1
Let m be -1 - 4/(-2) - 0. Let z be (-12)/(-2)*m/2. Factor -3*i**3 + z*i**3 - 2*i**4 - i**4 - i**3 - 2*i**5.
-i**3*(i + 1)*(2*i + 1)
Let d(s) be the third derivative of -s**9/3780 + s**7/315 - s**5/30 + 3*s**4/8 + 4*s**2. Let f(h) be the second derivative of d(h). Factor f(c).
-4*(c - 1)**2*(c + 1)**2
Let o = 635/264 - 26/11. Let y(i) be the first derivative of 0*i**3 + 2 + 0*i**2 - o*i**4 + 0*i. Solve y(p) = 0.
0
Let z(f) be the second derivative of -5*f**6/14 - 3*f**5/7 - f**4/7 - 21*f. Factor z(h).
-3*h**2*(5*h + 2)**2/7
Factor 24*t + t**2 + 28*t - 47*t - 6.
(t - 1)*(t + 6)
Let c(j) be the second derivative of j**6/6 - j**5/2 + 5*j**4/12 + 11*j. Factor c(w).
5*w**2*(w - 1)**2
Let m = 9 + -6. Let q(v) = -v - 3. Let d be q(-6). Factor -a**3 + 3*a**2 + a**2 + 2*a + d*a**m.
2*a*(a + 1)**2
Let 0 + 2/5*i - 2/5*i**2 = 0. What is i?
0, 1
Suppose 3*s - 6 + 3 = 0. Let a = -3 - -6. Factor 1 - 4*i + s + i**3 + a*i**3 - 2*i**4.
-2*(i - 1)**3*(i + 1)
Let z(h) be the second derivative of h**9/2016 - h**8/560 + h**7/560 - h**3/6 + h. Let x(v) be the second derivative of z(v). Factor x(q).
3*q**3*(q - 1)**2/2
Let m(i) be the third derivative of -i**8/420 + 2*i**7/525 + i**6/75 - 2*i**5/75 - i**4/30 + 2*i**3/15 - 24*i**2. What is t in m(t) = 0?
-1, 1
Suppose l + 5*j - 5 = 0, l + l - 4*j = -18. Let w = 5 + l. Determine r, given that r**2 + 0*r**2 - r + w*r = 0.
0, 1
Suppose -u = 2*u - 6. Factor -5*l**3 - 7*l**2 - 4*l**3 + 3*l + u*l - 3*l.
-l*(l + 1)*(9*l - 2)
Suppose 2*x = u + 3, 3*u + 2*u = -3*x - 28. Let s be (-4)/u*(-45)/(-18). Factor 4/7*b - 2/7 - 2/7*b**s.
-2*(b - 1)**2/7
Let s = -17 - -7. Let a be (-3)/1 - 54/s. Factor a*y**3 + 3/5*y**2 - 12/5*y - 3/5.
3*(y - 1)*(y + 1)*(4*y + 1)/5
Factor 3*j**4 + 10*j**3 + 6*j - 6*j**3 + 8*j**3 + 15*j**2.
3*j*(j + 1)**2*(j + 2)
Let b(u) = -3*u**4 - 3*u**3 + 4*u**2 + 6*u - 2. Let q(v) = 10*v**4 + 10*v**3 - 12*v**2 - 19*v + 7. Let l(s) = -21*b(s) - 6*q(s). Factor l(w).
3*w*(w - 2)*(w + 1)*(w + 2)
Let l(p) be the second derivative of 1/4*p**4 - 4*p + 0 + 6*p**2 - 2*p**3. Factor l(z).
3*(z - 2)**2
Let q(h) be the first derivative of -2*h**3/3 - 6*h**2 - 18*h - 7. What is w in q(w) = 0?
-3
Let z(c) be the third derivative of c**9/3780 - c**8/3360 - c**7/630 + c**6/360 - c**4/6 - c**2. Let o(d) be the second derivative of z(d). Factor o(r).
2*r*(r - 1)*(r + 1)*(2*r - 1)
Let 2/3 - 2/3*p**2 + 0*p = 0. What is p?
-1, 1
Let c(t) be the second derivative of t**6/108 + t**5/90 - t**4/54 - t**2 + t. Let f(x) be the first derivative of c(x). Find d such that f(d) = 0.
-1, 0, 2/5
Factor -34/3*l - 2/3*l**3 + 20/3*l**2 + 16/3.
-2*(l - 8)*(l - 1)**2/3
Let a(z) be the first derivative of z**5/20 - z**3/6 + z/4 - 23. Factor a(x).
(x - 1)**2*(x + 1)**2/4
Factor 0 - 36*b**3 + 4*b**4 - 8 + 34*b**2 + 6*b**4.
2*(b - 2)*(b - 1)**2*(5*b + 2)
Let y = -2/229 + 468/1145. Factor 2/5 + y*b**3 - 2/5*b**2 - 2/5*b.
2*(b - 1)**2*(b + 1)/5
Let l(h) = h**2 + h. Let i be l(-3). Let w(g) = g**3 - 7*g**2 + 8*g - 9. Let z be w(i). Suppose 3/2*p**2 + 0*p + 3/2*p**z + 0 = 0. What is p?
-1, 0
Suppose 0*t + 12 = -4*t. Let m be ((-1)/t)/((-2)/(-30)). Let -13*p**4 + 2*p**2 + 4*p**3 + m*p**4 - 8*p**4 = 0. Calculate p.
-1/4, 0, 1/2
Let p = 3 + 0. Suppose r**4 - 8*r**2 + 7*r**p - 16*r**3 + 13*r**3 + 3*r**4 = 0. Calculate r.
-2, 0, 1
Let a = -3 - -7. Suppose 0 = 4*i - 2 - 38. Find x such that 18*x**5 + 4*x**2 - x**a - 2*x**2 - i*x**3 + 7*x**4 = 0.
-1, 0, 1/3
Let d = -32 - -161/5. Let z be (-4)/80 + 4/16. Factor d*u**2 + 2/5*u + z.
(u + 1)**2/5
Let 1/4*p**2 + p - 1/4*p**3 - 1 = 0. What is p?
-2, 1, 2
Suppose -516 = 8*i - 4*i. Let t = -383/3 - i. Factor 2/3*n**2 - t*n + 2/3.
2*(n - 1)**2/3
Factor 5*j**3 + 0 + 5/2*j**4 + 0*j**2 + 0*j.
5*j**3*(j + 2)/2
Factor 2*s**3 - 2/3*s**2 + 0 + 0*s.
2*s**2*(3*s - 1)/3
Factor 1/2*m**2 + 0 + 3/2*m.
m*(m + 3)/2
Let f(y) be the third derivative of y**6/960 + 7*y**5/480 - 5*y**2. Determine v, given that f(v) = 0.
-7, 0
Solve 0*w - 1/2*w**5 - 1/2*w**2 + 0 + 1/2*w**4 + 1/2*w**3 = 0.
-1, 0, 1
Let c be (-1)/(-2) - 18/(-4). Suppose 0 = c*l - 2*l. Solve -b + 5*b - 2 - 2*b**2 + l*b = 0.
1
Let l(b) = -7*b**3 + b**2 + 7*b - 7. Let n(w) = -20*w**3 + 4*w**2 + 20*w - 20. Let c(k) = 8*l(k) - 3*n(k). Factor c(h).
4*(h - 1)**2*(h + 1)
Let m(z) be the third derivative of z**5/270 + 4*z**2. Factor m(s).
2*s**2/9
Let r = 1/88 - -173/264. Determine n, given that 2/3 + r*n**2 + 4/3*n = 0.
-1
Let q(o) be the third derivative of -o**7/70 + 3*o**6/20 - 13*o**5/20 + 3*o**4/2 - 2*o**3 + 62*o**2. Determine s so that q(s) = 0.
1, 2
Let c(w) = w + 13. Let h be c(-11). Let z(v) be the first derivative of -1/12*v**3 - v + 1/2*v**2 - h. Factor z(i).
-(i - 2)**2/4
Let n(w) be the second derivative of -5/36*w**3 - 8*w + 1/180*w**6 - 1/6*w**2 + 0 + 1/120*w**5 - 1/24*w**4. Solve n(b) = 0 for b.
-1, 2
Suppose -84 = 6*g - 108. Factor 0*c + 0 - 1/5*c**5 - 1/5*c**3 + 2/5*c**g + 0*c**2.
-c**3*(c - 1)**2/5
Let g(z) be the first derivative of -z**6/120 + 2*z - 2. Let f(x) be the first derivative of g(x). Solve f(d) = 0.
0
Suppose -14*z = -13*z - 4. Let k(v) be the first derivative of -2/3*v**3 - 1/2*v**z + v**2 + 2/5*v**5 - 2 + 0*v. Factor k(m).
2*m*(m - 1)**2*(m + 1)
Suppose -3*a - 5*n - 10 + 0 = 0, 0 = -5*a + 5*n + 10. Let b(c) be the first derivative of -1/6*c**4 - 2/9*c**3 + a*c**2 + 0*c - 1. What is r in b(r) = 0?
-1, 0
Find z, given that 8*z + 14*z**2 + 12*z**2 - 24*z**2 + 6 = 0.
-3, -1
Solve -3/4*p**3 + 5/4*p**2 - 1/4*p**4 + 3/4*p - 1 = 0.
-4, -1, 1
Let t(p) = -p**3 + 13*p**2 - 11*p - 10. Let r be t(12). Determine z so that -2 + 4*z**2 + 4 - 3*z**r + 4*z + z**2 = 0.
-1
Let u(h) = 7*h**2 + 2*h - 5. Let m(x) = -3*x**2 - x + 2. Let v(f) = 6*f**2 - f. Let o be v(1). Let w(a) = o*m(a) + 2*u(a). Solve w(q) = 0.
-1, 0
Let t be 6/(-1)*(-3)/9. Factor -7*j - 3*j**t + j + 0*j + j**2 - 4.
-2*(j + 1)*(j + 2)
Factor 8/3*o**2 + 4/3 + 2/3*o**3 + 10/3*o.
2*(o + 1)**2*(o + 2)/3
Factor 4/5*p - 2/5*p**2 - 2/5.
-2*(p - 1)**2/5
Let p(z) be the third derivative of z**8/1176 + z**7/735 - z**6/420 - z**5/210 - 2*z**2. Solve p(o) = 0.
-1, 0, 1
Let p(u) be the first derivative of u**6/30 + u**5/25 - 2. Factor p(c).
c**4*(c + 1)/5
Let u be 2 + -1 - (-41)/(-38). Let v = 143/114 - u. Factor 2/3*t - 2/3*t**2 + v.
-2*(t - 2)*(t + 1)/3
Suppose 3 = 2*u - u. Determine i, given that 4*i**2 + i - u + 3 - 3*i**2 = 0.
-1, 0
Let u(d) be the first derivative of d**6/16 - 3*d**5/20 + d**3/4 - 3*d**2/16 + 4. Solve u(z) = 0.
-1, 0, 1
Let o(w) be the third derivative of 0*w + 0 - w**2 + 1/3*w**3 + 0*w**4 - 1/30*w**5. Factor o(b).
-2*(b - 1)*(b + 1)
Factor 0 - 1/3*f**4 + f**3 + 1/3*f - f**2.
-f*(f - 1)**3/3
Let l(q) be the third derivative of -q**10/26460 - q**9/5880 - q**8/3920 - q**7/8820 + q**4/8 - 3*q**2. Let s(g) be the second derivative of l(g). Factor s(v).
-2*v**2*(v + 1)**2*(4*v + 1)/7
Let v(z) be the second derivative of -z**4/42 + 4*z**3/21 - 3*z**2/7 - z. Suppose v(l) = 0. What is l?
1, 3
Let r be 2 - 145/75 - 0. Let i(u) be the first derivative of -r*u**3 + 0*u**2 + 1/20*u**4 + 0*u - 2. Factor i(f).
f**2*(f - 1)/5
Suppose -2*d = -d + 3*g - 17, 2*d - 4*g + 6 = 0. Solve -1/2*a**2 + 1/4*a**d + 0*a**3 + 1/2*a**4 - 1/4*a + 0 = 0 for a.
-1, 0, 1
Let z(h) = 2*h**2 - 2*h - 3. Let v(a) = -6*a**2 + 6*a + 8. Let k(s) = 3*v(s) + 8*z(s). Factor k(u).
-2*u*(u - 1)
Let x = -101 - -104. Find m, given that 0*m + 0 - 3/4*m**3 + 9/4*m**4 + x*m**5 + 0*m**2 = 0.
-1, 0, 1/4
Let c = 59 - 57. Let l(j) be the first derivative of -2/5*j**5 + 0*j**c - 1/2*j**4 + 2 + 0*j**3 + 0*j. Let l(f) = 0. What is f?
-1, 0
Let k(b) be the first derivative of -b**6/3 + 2*b**5/5 + b**4/2 - 2*b**3/3 + 3. Factor k(x).
-2*x**2*(x - 1)**2*(x + 1)
Let 0 + 0*n**4 + 0*n**2 + 0*n - 1/7*n**5 + 1/7*n**3 = 0. Calculate n.
-1, 0, 1
Let y(o) be the third derivative of -o**7/840 + o**5/80 + o**4/48 + 3*o**2. Determine q, given that y(q) = 0.
-1, 0, 2
Let o be 16/12 + (-26)/(-39). What is p in -3/7 - 1/7*p**3 - p - 5/7*p**o = 0?
-3, -1
Suppose -3*p = -5*s + 3, 6*p = 4*s + 5*p - 8. Find u such that -u**4 + 1/2*u**5 - 1/2*u + 0 + u**2 + 0*u**s = 0.
-1, 0, 1
Let v = 127/1785 + -2/85. Let c(s) be the second derivative of -v*s**7