be (-2)/(-1)*q/(-2). Factor 2*f**2 - 9*f + 17*f - r*f + 2.
2*(f + 1)**2
Let j(c) be the second derivative of c**5/50 + c**4/6 - c**3/15 - c**2 + 19*c + 8. Solve j(r) = 0 for r.
-5, -1, 1
Let l be (-11 + 2 - -5) + 7. Let v be 0/(-2) + (-24)/28 - -2. Find j, given that 0 + 0*j - 8/7*j**l - 4/7*j**2 + v*j**5 + 4/7*j**4 = 0.
-1, -1/2, 0, 1
Let p = 15463/6 + -2576. Factor 2/3*w**2 - 1/3 - p*w.
(w - 2)*(4*w + 1)/6
Let u(t) be the first derivative of 5*t**4/26 - 46*t**3/39 + 10*t**2/13 + 16*t/13 + 66. Factor u(g).
2*(g - 4)*(g - 1)*(5*g + 2)/13
Let b(c) be the third derivative of -5*c**2 + 0*c + 0 + 4/3*c**3 + 1/15*c**5 - 1/2*c**4. Factor b(r).
4*(r - 2)*(r - 1)
Suppose 4*k - 28 = -3*i, 5*k - 1 = 3*i + 7. Let h(b) be the first derivative of -3*b**2 + 0*b + 3/4*b**4 + i + b**3. Factor h(a).
3*a*(a - 1)*(a + 2)
Let w(n) be the third derivative of -n**7/525 + 7*n**6/60 - 117*n**5/50 + 169*n**4/60 + 8788*n**3/15 + 258*n**2 - 2. What is q in w(q) = 0?
-4, 13
Let i(w) = -3*w**4 + 8*w**3 + 18*w**2 - 20*w - 19. Let b(a) = -a**3 - 2*a - 1. Let f(n) = 4*b(n) - i(n). Factor f(d).
3*(d - 5)*(d - 1)*(d + 1)**2
Let b = -2/1339 - -16078/6695. Factor b*g**2 + 2/5 - 14/5*g.
2*(g - 1)*(6*g - 1)/5
Let u be (-2)/8 - (40/(-32) + 1). Let p(k) be the third derivative of u*k + 0*k**3 - 2*k**2 - 1/8*k**4 + 0 + 1/5*k**5. Factor p(m).
3*m*(4*m - 1)
Let m(u) be the third derivative of -u**6/120 - 4*u**5/5 - 24*u**4 + u**2 - 28. Factor m(k).
-k*(k + 24)**2
Let d be 3276/1547 - (-2)/(-17). Let n(w) be the first derivative of 1 + 3/4*w**4 - 3/2*w**d + 9*w - 3*w**3. Factor n(j).
3*(j - 3)*(j - 1)*(j + 1)
Let s be 3 - 3*4/12. Determine y so that -4*y**s - 2*y + 2 - 3 - 2*y + 9 = 0.
-2, 1
Suppose 386 = -23*r + 216*r. Determine q, given that 1/2*q**5 + q + 1/4*q**4 - q**r + 0 - 9/4*q**3 = 0.
-2, -1, 0, 1/2, 2
Let g(w) = -2*w - 4. Let f be g(-3). Let b be -3 + (-27)/(-15) + f. Factor 0 - 2/5*j + 0*j**4 + b*j**3 - 2/5*j**5 + 0*j**2.
-2*j*(j - 1)**2*(j + 1)**2/5
Suppose 10*h - 35 = 3*h. Suppose o + o = h*y - 34, 4*y - 3*o = 30. Factor y*u**3 + 4/3*u + 2/3*u**5 - 14/3*u**2 - 10/3*u**4 + 0.
2*u*(u - 2)*(u - 1)**3/3
Factor 32*v + 13*v**2 + 4*v**3 - 134 + 134 - 37*v**2.
4*v*(v - 4)*(v - 2)
Let u(r) = -111*r**2 + 114*r - 1. Let a be u(1). Solve 4/3 + 2/3*j**a + 2*j = 0 for j.
-2, -1
Let g(t) be the first derivative of -15/4*t**4 + 8 + 2*t - 3/2*t**2 - 4/5*t**5 - 16/3*t**3. Factor g(d).
-(d + 1)**2*(d + 2)*(4*d - 1)
Let b(j) be the third derivative of j**6/160 - 6*j**5/5 + 96*j**4 - 4096*j**3 - 6*j**2 - 10. Factor b(v).
3*(v - 32)**3/4
Let l(k) = -k**3 - 37*k**2 + 410*k - 181. Let b be l(-46). What is h in 2*h**2 + h + 0 + 5/4*h**b + 1/4*h**4 = 0?
-2, -1, 0
Suppose 3*i - 3*l = 9, -5*i - 8*l + 7 = -5*l. Let r be 4/3 - (-2)/(-15). Factor 4/5*q + 2/5*q**i - r.
2*(q - 1)*(q + 3)/5
Let p = 12 - 10. Suppose 24*g**2 + g**3 - 14*g**p - 6*g**3 = 0. Calculate g.
0, 2
Let z be (-12*(-1)/(-10))/((-8)/20). Let v(q) be the second derivative of 1/3*q**2 + 2*q + 0 + 1/2*q**z + 7/36*q**4. Factor v(j).
(j + 1)*(7*j + 2)/3
What is q in -7*q**2 - 9*q**5 + 7*q**4 + 7*q**5 + 10*q**5 + q**3 - 9*q**5 = 0?
-1, 0, 1, 7
Let f(o) be the third derivative of -o**6/960 - o**5/160 + 3*o**4/64 + 13*o**3/6 - 10*o**2. Let x(p) be the first derivative of f(p). Factor x(d).
-3*(d - 1)*(d + 3)/8
What is m in 32/7 - 1/7*m**2 - 31/7*m = 0?
-32, 1
Suppose -2*d = -b, -5*d - 10 = 2*b - 7*b. Let o(g) be the second derivative of 0*g**2 + 0*g**3 + 1/14*g**7 + 0*g**5 + 6*g + 0 - 1/10*g**6 + 0*g**b. Factor o(v).
3*v**4*(v - 1)
Suppose r = u + 2, u + 26 = 2*r + 3*r. Factor -a + 13*a + 6*a + 12*a**2 + 3 - r*a.
3*(2*a + 1)**2
Let 31 - 12*p - 2*p**2 + 42 - 33 - 2*p**2 = 0. Calculate p.
-5, 2
Suppose 0 = -s - 4*s - 20. Let o(i) = -i**3 - 3*i**2 + 5. Let w(d) = 54 - 50 - 6*d**2 - 2*d**2 + 4*d**2. Let g(k) = s*o(k) + 5*w(k). Solve g(f) = 0.
0, 2
Suppose 2*l + 36 = 5*g, 4*l - 5 = 4*g - 41. Let f be ((-24)/(-210))/(g/15). Factor -2/7*d**2 + f + 0*d.
-2*(d - 1)*(d + 1)/7
Suppose 4*v = 4, c - 6*c + 5*v = -10. Let z(a) = 3*a**2 - 24*a. Let h be z(8). Solve -4*t**5 - 4*t**2 + 3*t**4 + t**4 + h*t**3 + 4*t**c = 0 for t.
-1, 0, 1
Let a(j) be the first derivative of j**6/40 - j**5/20 + 5*j**2/2 - 5. Let s(o) be the second derivative of a(o). Solve s(x) = 0.
0, 1
Let a(h) = 2*h**3 - 75*h**2 - 118*h + 41. Let r be a(39). Factor 9/2 + 3*c - 3/2*c**r.
-3*(c - 3)*(c + 1)/2
Let l(m) be the first derivative of -m**6/3 - 48*m**5/5 - 105*m**4 - 1568*m**3/3 - 1029*m**2 - 113. Let l(d) = 0. What is d?
-7, -3, 0
Let h(x) be the first derivative of x**8/168 - x**6/60 - 21*x**2/2 + 8. Let w(y) be the second derivative of h(y). Determine d so that w(d) = 0.
-1, 0, 1
Let d(j) = -4*j**3 + 10*j**2 + 36*j - 48. Let t(m) = 5*m**3 - 9*m**2 - 35*m + 48. Let u(i) = 3*d(i) + 2*t(i). Factor u(r).
-2*(r - 8)*(r - 1)*(r + 3)
Let z(d) be the second derivative of 0 - 5*d**2 + 11*d + 2*d**3 - 1/6*d**4. Suppose z(a) = 0. Calculate a.
1, 5
Factor -25*i**2 + 6 + 12*i**2 + 15*i - 9*i**3 + i**2.
-3*(i - 1)*(i + 2)*(3*i + 1)
Suppose 18/7*x**2 + 0 + 3*x - 3/7*x**3 = 0. What is x?
-1, 0, 7
Let v(i) be the second derivative of -i**4/36 + 5*i**3/18 - 2*i**2/3 - 92*i. Solve v(y) = 0 for y.
1, 4
Let n(r) be the second derivative of -r**6/120 - r**5/10 - 3*r**4/8 + 19*r**3/6 + 7*r. Let g(s) be the second derivative of n(s). Factor g(u).
-3*(u + 1)*(u + 3)
Suppose 0 = 2*u - 2*o - o - 1125, 4*o = 4*u - 2256. Let h be (-3)/(u/(-174)) - 6/(-27). Factor -8/7 - h*p - 2/7*p**2.
-2*(p + 2)**2/7
Let z(s) be the second derivative of 25*s**6/6 - 5*s**4/4 + s**3/3 + 10*s. Factor z(r).
r*(5*r - 1)**2*(5*r + 2)
Let t(j) be the first derivative of 2*j**3/27 + 176*j**2/3 + 15488*j - 567. Factor t(g).
2*(g + 264)**2/9
Let d(u) be the first derivative of 6*u + 9 + 0*u**2 + 1/15*u**4 - 1/100*u**5 + 0*u**3. Let a(n) be the first derivative of d(n). Factor a(c).
-c**2*(c - 4)/5
Let m be -12 + (-365)/(-25) - (-6)/(-10). Let -2/13*j**4 + 16/13 + 10/13*j**3 - 12/13*j**m - 8/13*j = 0. Calculate j.
-1, 2
Let d(q) = 130*q**4 - 275*q**3 + 180*q**2 + 240*q - 240. Let o(f) = 11*f**4 - 23*f**3 + 15*f**2 + 20*f - 20. Let i(a) = 3*d(a) - 35*o(a). Factor i(v).
5*(v - 2)**2*(v - 1)*(v + 1)
Let b(p) be the third derivative of p**7/315 - p**6/60 + p**5/45 + 12*p**2 - 4*p. Factor b(o).
2*o**2*(o - 2)*(o - 1)/3
Let h(w) be the first derivative of w**3 - w**2/2 + 156. Factor h(m).
m*(3*m - 1)
Let n(d) = 164*d**3 - 392*d**2 - 144*d + 12. Let x(a) = -66*a**3 + 157*a**2 + 58*a - 5. Let o(g) = 5*n(g) + 12*x(g). Factor o(s).
4*s*(s - 3)*(7*s + 2)
Let y(f) be the second derivative of -f**6/50 - 7*f**5/50 - 4*f**4/15 - f**3/15 + 3*f**2/10 + 4*f + 16. Find j such that y(j) = 0.
-3, -1, 1/3
Let r(g) be the first derivative of 1/4*g**2 + 0*g - 1/18*g**3 + 4. Factor r(d).
-d*(d - 3)/6
Factor 1/6*q**5 + 0*q**2 - 41/3*q**4 + 1681/6*q**3 + 0*q + 0.
q**3*(q - 41)**2/6
Factor -10 + 2*p**2 - 18*p**2 - 74*p + 40.
-2*(p + 5)*(8*p - 3)
Let a(z) be the second derivative of -z**4/42 - 8*z**3/7 + 52*z**2/7 - 4*z - 34. Factor a(d).
-2*(d - 2)*(d + 26)/7
Find c such that 48/5 + 28/5*c + 2/5*c**2 = 0.
-12, -2
Let j = -12 + 11. Let c = 4 + j. Factor 2*i - 9*i**4 + 6*i**2 - c*i**5 + 6*i - 6*i**3 + i + 3.
-3*(i - 1)*(i + 1)**4
Suppose -5*a + 4*o + 15 = 0, 6 + 7 = 4*a - 3*o. Factor u**2 + 4*u**2 + a*u - 3*u - 6*u**2.
-u*(u - 4)
Factor -14 + 24*h - 3*h**2 + 7*h**2 + 14.
4*h*(h + 6)
Let j(i) be the third derivative of 0*i - 1/60*i**4 - 44*i**2 + 0 + 1/300*i**5 - 1/10*i**3. Factor j(f).
(f - 3)*(f + 1)/5
Let m be (2/8)/((-11)/(-22))*-2. Let s be 18/99 + m/(-55). Factor 0 + s*y - 1/5*y**2 + 1/5*y**4 - 1/5*y**3.
y*(y - 1)**2*(y + 1)/5
Let y be (-4 - 7 - -11)/2. Factor -4*a**3 - 4/5*a**5 + 0 - 8/5*a**2 - 16/5*a**4 + y*a.
-4*a**2*(a + 1)**2*(a + 2)/5
What is x in 3/4*x**4 + 1/8*x**5 + 38*x**2 - 11*x**3 + 28 - 54*x = 0?
-14, 2
Let l(s) be the first derivative of s**6/120 + 11*s**5/60 + s**4 - 6*s**3 + s**2 - 6. Let x(d) be the second derivative of l(d). Let x(j) = 0. Calculate j.
-6, 1
Let o(i) be the third derivative of 0*i**4 + 1/18*i**3 + 0*i + 0 + 1/630*i**7 - 1/90*i**5 - 3*i**2 + 0*i**6. Factor o(p).
(p - 1)**2*(p + 1)**2/3
Let o = -509 - -946. Let l = -297 + o. Solve -98*i**3 + 29*i - 16 - l*i**2 + 53*i + 22*i = 0.
-2, 2/7
Let h(w) be the first derivative of 5*w**3