**2/8
Suppose -34*y + 65 = -37. Let t(v) be the second derivative of y*v - 19/6*v**4 - 8/3*v**3 + 0 + 4*v**2 - 7/10*v**5. What is a in t(a) = 0?
-2, -1, 2/7
Let j(q) be the third derivative of q**6/600 + q**5/12 + 69*q**4/40 + 189*q**3/10 + 2*q**2 - 187. Factor j(p).
(p + 7)*(p + 9)**2/5
Let n(r) be the second derivative of r**5/15 + 5*r**4/6 - 4*r**2 - 6*r. Let p(g) be the first derivative of n(g). Find o such that p(o) = 0.
-5, 0
Let l(q) be the third derivative of -q**6/480 + q**5/12 - 17*q**4/32 + 151*q**2. Factor l(t).
-t*(t - 17)*(t - 3)/4
Let a(q) be the first derivative of 0*q + 2/3*q**3 + 45 + 7*q**2. Factor a(c).
2*c*(c + 7)
Let c(u) = -22*u**2 + 83*u - 54. Let l(z) = 15*z**2 - 55*z + 35. Let b(q) = 5*c(q) + 7*l(q). Factor b(j).
-5*(j - 5)*(j - 1)
Factor 146 + 8*x + 0*x**2 - 140 + 9*x + 5*x**2.
(x + 3)*(5*x + 2)
Let y(m) be the first derivative of 2*m**5/5 + m**4 - 2*m**3 - 4*m**2 + 8*m + 71. Factor y(b).
2*(b - 1)**2*(b + 2)**2
Let q(t) be the second derivative of t**4/108 - 143*t**3/54 + 6*t + 20. Factor q(r).
r*(r - 143)/9
Let s = 1232 - 2455/2. Let p(g) be the first derivative of 3/4*g**4 + s*g**2 - 3*g**3 + 10 - 3*g. Find t, given that p(t) = 0.
1
Let s = -21420 - -64264/3. Factor s*i**2 - 2 + 1/3*i**3 + 1/3*i.
(i - 1)*(i + 2)*(i + 3)/3
Let a(c) be the second derivative of -4*c**6/15 - c**5 + 4*c**4 - 2*c**3/3 - 8*c**2 + 310*c. Determine k so that a(k) = 0.
-4, -1/2, 1
Let f be (0 - -2)/1 + (2 - 3). Factor -9 - 2 - f + 15*p - 3*p**2.
-3*(p - 4)*(p - 1)
Let y = -2/73653 + 810203/736530. Let -6/5 + y*z + 1/10*z**2 = 0. What is z?
-12, 1
Let a = 24/5 - 283/60. Let f(g) be the third derivative of 0 - 1/60*g**5 + 0*g**3 - 4*g**2 + 0*g - a*g**4. Let f(q) = 0. What is q?
-2, 0
Suppose 4*u = 2*i - 16, -3*u + 12 = 24. Let b(g) be the second derivative of 1/75*g**6 - 7*g + 0*g**3 + 1/30*g**4 + 0*g**2 - 1/25*g**5 + i. Factor b(q).
2*q**2*(q - 1)**2/5
Factor 297/4*x**2 - 3/4*x**3 - 9801/4*x + 107811/4.
-3*(x - 33)**3/4
Suppose 4*g - 26 = m, 4*g = -0*g + 20. Let v be -2*(-28)/(-176) - 3/m. Solve 0 - 2/11*a**2 + v*a = 0.
0, 1
Let g(a) be the second derivative of a**6/200 + a**5/25 + a**4/10 + 13*a**2 - 30*a. Let x(o) be the first derivative of g(o). Factor x(t).
3*t*(t + 2)**2/5
Let d(l) be the third derivative of -l**7/140 + 3*l**5/10 - l**4 - 591*l**2. Factor d(v).
-3*v*(v - 2)**2*(v + 4)/2
Let z(v) = -2*v**2 + 4*v - 10. Let b be z(0). Let i be (6/b + (-2)/(-6))*-3. Factor -2/5*g**5 + 4/5*g**3 + 14/5*g - 4/5 + i*g**4 - 16/5*g**2.
-2*(g - 1)**4*(g + 2)/5
Let i(y) be the third derivative of 0 + 0*y**4 + 1/420*y**6 + 1/2205*y**7 - 1/630*y**5 + 0*y + y**2 + 0*y**3 - 1/1176*y**8. Determine k, given that i(k) = 0.
-1, 0, 1/3, 1
Let r(d) be the third derivative of -d**6/360 - 17*d**5/60 - 10*d**4 - 96*d**3 + 226*d**2. Factor r(z).
-(z + 3)*(z + 24)**2/3
Suppose 0 = -3*z + 6 - 0. Let j = 126 + -123. Factor r**j - 1 + r**2 + 2*r - z*r - r.
(r - 1)*(r + 1)**2
Let p be 2*((-675)/(-10))/(-9). Let d be -1 + p/(-3) - -6. Determine q so that d*q + q**3 + 2*q**3 - 6*q**2 - 8*q**3 + q**2 = 0.
-2, 0, 1
Let n(l) be the third derivative of l**6/540 + l**5/90 + l**4/36 - 17*l**3/3 + 37*l**2. Let j(k) be the first derivative of n(k). Solve j(c) = 0.
-1
Let r(m) be the first derivative of m**6/120 + m**5/30 + m**4/24 - 7*m**2/2 + 14. Let j(i) be the second derivative of r(i). Determine c, given that j(c) = 0.
-1, 0
Let o(g) = -26*g**3 - g**2 - g - 2. Let b be o(-1). Let y be b/(-15) - (-12)/6. Factor 0 + 2/5*r**3 + 0*r + 0*r**2 - y*r**4.
-2*r**3*(r - 1)/5
Let z(u) be the first derivative of -6 + 5/8*u**4 + 3/4*u**2 + 0*u + 1/10*u**5 + 7/6*u**3. Suppose z(l) = 0. Calculate l.
-3, -1, 0
Let k(b) = -2*b + 12. Let j be k(5). Let -12*h**3 + 4*h**5 - 5*h**2 - 4*h**2 + j*h**2 - h**2 = 0. What is h?
-1, 0, 2
Let y(k) = -10*k**3 - 22*k**2 + 34*k - 8. Let b(o) = 34*o - 9*o**2 + 7*o**2 - 8 - 19*o**2 - 9*o**3. Let a(f) = -3*b(f) + 2*y(f). Factor a(m).
(m - 1)*(m + 4)*(7*m - 2)
Let n(t) be the third derivative of 1/8*t**4 - t**2 + 0*t - t**3 + 0 - 1/160*t**5. Factor n(h).
-3*(h - 4)**2/8
Let u(j) be the third derivative of -j**5/140 - j**4/8 + 4*j**3/7 - 30*j**2. Factor u(x).
-3*(x - 1)*(x + 8)/7
Suppose -9*b + 7161 = 7143. Factor 3/2*h**b - 3/2 - 1/2*h + 1/2*h**3.
(h - 1)*(h + 1)*(h + 3)/2
Factor -20/3*v**2 + 5/3*v**3 - 5/3*v + 20/3.
5*(v - 4)*(v - 1)*(v + 1)/3
Let x = -5 + 8. Suppose -9*o - 44 = -20*o. Let 0*z**3 + 2*z**2 - 2*z**x - o*z + z**3 + 3*z**3 = 0. Calculate z.
-2, 0, 1
Factor -298*u**2 + 23*u + 108 + 229*u**2 - 3*u**4 + 27*u**3 - 14*u.
-3*(u - 4)*(u - 3)**2*(u + 1)
Let o be -20*(-1)/(-2)*10/(-10). Factor 24*x**2 + 604*x - o - 2 - 626*x + 10*x**3.
2*(x - 1)*(x + 3)*(5*x + 2)
Let u(t) be the second derivative of t**4/3 + 2*t**3/3 - 4*t**2 + 13*t. Let f(g) = 8*g**2 + 8*g - 16. Let v(y) = -4*f(y) + 9*u(y). Factor v(s).
4*(s - 1)*(s + 2)
Solve -144 + 93*g + 3*g - 4*g**2 + 52*g = 0 for g.
1, 36
Factor -7/2 + 13/4*k + 1/4*k**2.
(k - 1)*(k + 14)/4
Let p(d) = 12*d**2 + 100*d - 112. Let m(g) = -4*g**2 - 33*g + 37. Suppose 0*z + 2*b = -4*z - 62, 5*z + 5*b + 75 = 0. Let c(y) = z*m(y) - 5*p(y). Factor c(k).
4*(k - 1)*(k + 8)
Let u(r) = -3*r**2 - 20*r - 9. Let z be u(-6). Let m(x) be the second derivative of 0 + x - 1/30*x**5 + 0*x**2 - 1/9*x**4 + 0*x**z. Find p, given that m(p) = 0.
-2, 0
What is q in 322/3*q + 2/3*q**2 + 320/3 = 0?
-160, -1
Find i such that 0 + 6/7*i**2 - 3/7*i - 3/7*i**3 = 0.
0, 1
Let h(m) be the first derivative of m**6/3 - 2*m**5/5 - 3*m**4/2 + 2*m**3/3 + 2*m**2 - 56. Factor h(n).
2*n*(n - 2)*(n - 1)*(n + 1)**2
Determine g, given that -2*g**2 + 106*g + 128*g - 24 - 208*g = 0.
1, 12
Factor 10382*k**2 - 10395*k**2 + k**3 + 52 - 8*k + 4*k.
(k - 13)*(k - 2)*(k + 2)
Determine x so that 160 - 280/3*x + 50/3*x**2 - 5/6*x**3 = 0.
4, 12
Let v(y) = 20*y - 10. Let c be v(2). Let g(x) = -5*x - 2. Let j be g(-1). Determine l so that -34*l + l**4 - 5*l**j - c*l + 3*l**4 + 21*l**3 - 64 = 0.
-2, 2
Let h = 33 + -30. Suppose 5*c = -4*b + 8, h*b = -3*c - 0 + 3. Factor -c*v**2 - 8*v + 0*v**2 + 16 - 4.
-4*(v - 1)*(v + 3)
Let m = 161/6 + -79/3. Determine k so that m*k**2 + k - 3/2 = 0.
-3, 1
Let j(o) = -7*o**3 - 14*o**2 + 19*o - 4. Let y(g) = -15*g**3 - 30*g**2 + 40*g - 8. Let w(m) = -13*j(m) + 6*y(m). Factor w(c).
(c - 1)**2*(c + 4)
Let j(d) be the third derivative of -d**6/30 + 22*d**5/15 - 41*d**4/6 + 40*d**3/3 + 64*d**2. Factor j(l).
-4*(l - 20)*(l - 1)**2
Let -1/5*t**2 - 2*t - 5 = 0. Calculate t.
-5
Let f(a) be the second derivative of -a**4/16 + a**3/2 + 15*a**2/8 - 48*a - 1. Find l, given that f(l) = 0.
-1, 5
Suppose -6 = 3*p, 0 = 12*q - 15*q - 3*p. Let t(n) be the first derivative of 0*n**3 - 3/25*n**5 + 9/20*n**4 + 7 + 0*n - 6/5*n**q. Solve t(z) = 0.
-1, 0, 2
Let x = -24 + 51/2. Let c = x - 11/10. Factor 3/5 - 1/5*h**2 + c*h.
-(h - 3)*(h + 1)/5
Let b = 590 - 70799/120. Let z(j) be the third derivative of 0*j + b*j**5 - 1/16*j**4 + 0 - j**2 + 1/6*j**3. Determine l, given that z(l) = 0.
1, 2
Let a be 5/((1 - -2)/3). Factor -2*m + 7*m - 9 + 4 - 5*m**3 + a*m**2.
-5*(m - 1)**2*(m + 1)
Let h(d) = 7*d**2 + 12*d + 45. Let k(x) = -3*x**2 - 7*x - 24. Let q(y) = 2*h(y) + 5*k(y). Suppose q(j) = 0. Calculate j.
-6, -5
Let g(o) be the second derivative of -4*o**7/49 + 11*o**6/105 + o**5/35 - o**4/42 - 96*o. Determine r, given that g(r) = 0.
-1/3, 0, 1/4, 1
Let u be (-168709)/77 - (-88)/154. Let a = -2189 - u. Solve a*l**3 - 2/11*l**2 - 10/11*l**4 + 0 - 4/11*l = 0 for l.
-2/5, 0, 1
Suppose -71*t + 70*t - 4 = 2*r, t = 4*r + 8. Solve -16/3*c**4 + 20/3*c**3 + 0 - 4/3*c**2 + t*c = 0.
0, 1/4, 1
Suppose h = -0 + 2. Suppose -z = h*z - 3. Find a such that 0*a - 3*a - z - 15 - a**2 + 11*a = 0.
4
Let b(z) = z**2 + 34*z - 30. Let p be b(-35). Let a(k) be the first derivative of 1/7*k**2 + 2/21*k**3 + 0*k + p. What is r in a(r) = 0?
-1, 0
Let r(f) = -2*f - 23. Let g be r(-11). Let i be 0*((-162)/36 - (-5 - g)). Determine x so that 0*x**2 + i*x + 0 - 3/7*x**3 = 0.
0
Let p(g) be the second derivative of -7*g**5/12 - 5*g**4/24 - 7*g**2/2 + 27*g. Let w(r) be the first derivative of p(r). Factor w(x).
-5*x*(7*x + 1)
Let s(a) = -36*a - 2014. Let p be s(-56). Factor -2/3*q**p + 0 - 4/3*q.
-2*q*(q + 2)/3
Let c(y) be the first derivative of y**4/4 + 37*y**3/3 - y**2/2 - 37*y - 324. Factor c(w).
(w -