*y**4 - 5*y. Let p(h) = 6*b(h) + g(h). Let p(c) = 0. What is c?
-1, 0, 1, 3/2
Let m(i) be the second derivative of 4*i**2 - 10/3*i**3 - 1/5*i**5 + 4/3*i**4 - 6*i + 0. Factor m(l).
-4*(l - 2)*(l - 1)**2
Let y(c) be the second derivative of -c**7/1512 - c**6/108 + 5*c**5/72 - 13*c**4/12 + c. Let l(h) be the third derivative of y(h). Factor l(k).
-5*(k - 1)*(k + 5)/3
Let w(x) be the first derivative of -5*x**4/16 - 25*x**3/12 - 5*x**2 - 5*x - 99. Factor w(n).
-5*(n + 1)*(n + 2)**2/4
Suppose -35*d**3 + 1238*d - 2460*d + 1237*d + 20*d**2 = 0. What is d?
-3/7, 0, 1
Suppose 192*f**4 - 55*f**4 - 137*f**3 + 58*f - 94*f**3 + 5*f**5 + 31*f**2 = 0. Calculate f.
-29, -2/5, 0, 1
Suppose 8 + 0 = 4*v. Suppose 0 = -v*h, 5*o + h = -0*h + 55. Determine z so that 6*z - z**2 + o*z**2 + 2*z**3 - 2*z**2 = 0.
-3, -1, 0
Let f(n) = -n**5 + n**4 - n**3 + n + 1. Let a(b) = -4*b**5 + 4*b**4 - 5*b**2 + 5*b + 3. Let i(g) = -2*a(g) + 6*f(g). Find m such that i(m) = 0.
-2, 0, 1
Determine k, given that 14/9 + 16/9*k + 2/9*k**2 = 0.
-7, -1
Let w(i) = i + 15. Let k be w(-10). Let h(l) be the second derivative of -2/35*l**k + 0 - 2*l - 2/21*l**3 - 3/14*l**4 + 0*l**2. Let h(q) = 0. What is q?
-2, -1/4, 0
Let u be (4 - 275/70)*-7*(-7)/14. Let 0 + 1/4*i**4 + u*i**5 - 1/4*i**2 - 1/4*i**3 + 0*i = 0. What is i?
-1, 0, 1
Let c be (2*(-6)/15)/((-8)/20). Let y(d) be the second derivative of -1/42*d**4 + 0*d**3 + 1/7*d**c - d + 0. Factor y(m).
-2*(m - 1)*(m + 1)/7
Let m(n) be the third derivative of 28*n**2 + 0*n**3 + 0*n**4 + 13/1260*n**7 + 0*n + 0 + 1/360*n**6 + 5/504*n**8 + 0*n**5. Factor m(f).
f**3*(4*f + 1)*(5*f + 2)/6
Let b(n) be the third derivative of 1/6*n**4 + 0 - 8*n**2 - 1/5*n**5 + 1/10*n**6 + 0*n**3 + 0*n - 2/105*n**7. Factor b(r).
-4*r*(r - 1)**3
Let m(w) be the second derivative of -w**7/273 - 4*w**6/65 - 2*w**5/65 + 32*w**4/13 - 256*w**3/39 + 75*w - 2. Factor m(r).
-2*r*(r - 2)**2*(r + 8)**2/13
Let f(l) be the third derivative of l**7/840 - l**6/240 - 11*l**4/24 - 2*l**2. Let q(z) be the second derivative of f(z). Factor q(t).
3*t*(t - 1)
Let m(w) be the second derivative of w**5/10 - 10*w**4 - 124*w**3/3 + 2*w - 114. Factor m(s).
2*s*(s - 62)*(s + 2)
Let u(k) = k**2 - 10*k + 2. Let c be u(10). Let o(w) be the first derivative of -15*w**2 + w**3 + 48*w + 20*w**2 - 17*w**c - 14. What is p in o(p) = 0?
4
Let c be 1*0/1 + (-74)/12. Let p = c - -20/3. Let 3/4*w**2 - p*w + 0 = 0. What is w?
0, 2/3
Determine b so that 0 + 2/7*b**2 - 220/7*b = 0.
0, 110
Factor 28/3*v**3 - 16 - 44*v**2 - 208/3*v.
4*(v - 6)*(v + 1)*(7*v + 2)/3
Find z, given that 16/9 - 5/9*z**3 + 8/9*z**2 + 44/9*z = 0.
-2, -2/5, 4
Let m(v) be the second derivative of v**6/75 - 9*v**5/25 - v**4/30 + 6*v**3/5 + 2*v + 77. Factor m(s).
2*s*(s - 18)*(s - 1)*(s + 1)/5
Let c(n) be the first derivative of 4*n**6/15 + 17*n**5/10 + 8*n**4/3 + n**3 - 12*n - 44. Let w(u) be the first derivative of c(u). Factor w(d).
2*d*(d + 1)*(d + 3)*(4*d + 1)
Let v(c) be the second derivative of -2*c**7/21 - 2*c**6/15 + c**5/5 + c**4/3 + 14*c + 2. Factor v(u).
-4*u**2*(u - 1)*(u + 1)**2
Let u(i) be the second derivative of -i**7/12600 - i**6/3600 + i**5/300 - 10*i**4/3 - 19*i. Let m(r) be the third derivative of u(r). Let m(z) = 0. What is z?
-2, 1
Factor -12/5*y + 0 + 14/5*y**2 - 2/5*y**3.
-2*y*(y - 6)*(y - 1)/5
Let u = -872/3 + 293. Factor -2/3*w + 0 + u*w**2 + 4/3*w**3.
w*(w + 2)*(4*w - 1)/3
Let z(l) be the second derivative of -5*l**4/12 + 25*l**3/6 - 43*l. Factor z(w).
-5*w*(w - 5)
Factor 0 + 0*m + 16/7*m**4 - 20/7*m**3 + 4/7*m**2.
4*m**2*(m - 1)*(4*m - 1)/7
Let n(t) = -25*t + 1 - t**2 + 25*t + 3*t**3 + 0. Let y be n(1). Factor b**y + 8 - b + 12 - 20.
b*(b - 1)*(b + 1)
Let b be 3415/2310*(-2)/(-5). Let k = 2/231 + b. Factor k*x**2 + 0 - 3/5*x.
3*x*(x - 1)/5
Let u(n) = -3*n**2 - 18*n + 9. Let b = -15 - -9. Let y(i) = -53*i - 14 - 8*i**2 + 16 + 25. Let r(h) = b*y(h) + 17*u(h). Factor r(z).
-3*(z - 3)*(z - 1)
Let z(q) be the first derivative of q**5 - 55*q**4/2 + 295*q**3 - 1540*q**2 + 3920*q + 387. Suppose z(h) = 0. Calculate h.
4, 7
Let u = 9389 - 9389. Suppose u + 8*l**4 + 9/2*l**5 - 20*l**3 - 32*l**2 + 8*l = 0. What is l?
-2, 0, 2/9, 2
Suppose 2*r - 4*j - 84 = 0, 0*r - 2*r + 85 = -5*j. Let q be 52/r - 6/12. Let -2/5 - 7/5*u**5 + 16/5*u**4 + 11/5*u - q*u**3 - 14/5*u**2 = 0. What is u?
-1, 2/7, 1
Let l be ((-4)/(-30))/(4/6). Let f = -586/35 - -120/7. Let 0*n**2 + f*n**3 - l*n**5 - 1/5*n + 0 + 0*n**4 = 0. What is n?
-1, 0, 1
Let p(o) be the third derivative of 0*o**6 + 0 + 5/24*o**4 + 0*o**3 - 5/336*o**8 + 0*o - 9*o**2 + 1/6*o**5 - 1/21*o**7. Find x such that p(x) = 0.
-1, 0, 1
Let x be (-4)/34 - (-3478)/18870. Let b(p) be the first derivative of 6 + 0*p - x*p**3 - 1/5*p**2. Factor b(j).
-j*(j + 2)/5
Let w(g) be the third derivative of -g**8/420 - 17*g**7/525 - g**6/6 - 13*g**5/30 - 19*g**4/30 - 8*g**3/15 - 144*g**2 - 1. What is k in w(k) = 0?
-4, -2, -1, -1/2
Solve -4/11*r**3 - 12/11*r**4 + 0 - 1/11*r**5 + 192/11*r**2 - 256/11*r = 0.
-8, 0, 2
Suppose -59*b = -16*b - 86. Let v(n) be the third derivative of -2/57*n**3 + 0*n + 1/570*n**5 - 1/228*n**4 - 7*n**b + 0. Factor v(a).
2*(a - 2)*(a + 1)/19
Let -2488*m**4 + 8*m**5 - 80*m + 280*m**3 - 60*m**2 + 2323*m**4 + 17*m**5 = 0. Calculate m.
-2/5, 0, 1, 2, 4
Let d = -94 - -97. Factor 4*c**3 - 3*c**d + c + c**4 - 2 - 3*c**2 + 4*c - 2*c**3.
(c - 1)**3*(c + 2)
Let q(a) be the first derivative of -15 + 5/4*a**3 - 5/8*a**2 + 0*a - 15/16*a**4 + 1/4*a**5. Factor q(h).
5*h*(h - 1)**3/4
Factor 8*g**3 + 2*g**2 - g**2 - 4*g**4 - 5*g**2.
-4*g**2*(g - 1)**2
Suppose -555 = -5*g + 3*u, 0*u = -g + u + 113. Let l = g + -319/3. Suppose l*j + j**2 + 2/3 = 0. What is j?
-1, -2/3
Let f be ((-45)/40*4)/(-3). Suppose 3/4*y**3 + 0 + f*y - 9/4*y**2 = 0. Calculate y.
0, 1, 2
Let p be (-1810)/56*-1*(-2)/15. Let x = 5/14 - p. Factor -10/3*a**2 + 2/3*a**3 + x*a - 2.
2*(a - 3)*(a - 1)**2/3
Let h(k) be the second derivative of 3*k**5/20 + 35*k**4/4 + 176*k**3 + 1152*k**2 - 166*k. Determine f so that h(f) = 0.
-16, -3
Determine q so that -1/3*q**2 + 0*q + 3 = 0.
-3, 3
Suppose 526 + 818 = -28*q. Let l be (-6)/21 + (-4)/476*q. Factor 4/17*x**2 + l*x - 4/17 - 2/17*x**3.
-2*(x - 2)*(x - 1)*(x + 1)/17
Let m be (-15)/((-4)/(-1 - -5)). Suppose w = -2*w + m. Determine i so that -2*i**3 + 0*i**2 + i**4 + 3*i**2 + 3*i**2 - w*i**2 = 0.
0, 1
Let q(c) be the first derivative of -c**9/2016 - c**8/1120 + 2*c**3/3 - 5. Let n(f) be the third derivative of q(f). Determine p, given that n(p) = 0.
-1, 0
Solve -25/6*z**2 - 1/6*z**5 - 2/3 - 7/6*z**4 - 8/3*z - 19/6*z**3 = 0.
-2, -1
Let f(t) = -6*t - 102. Let o be f(-18). Let i(x) be the second derivative of 1/4*x**4 + o*x**2 - x + 0 + 2*x**3. Find z such that i(z) = 0.
-2
Let s(x) be the first derivative of -8*x - 7 - 4/3*x**3 - 6*x**2. Factor s(l).
-4*(l + 1)*(l + 2)
Suppose -3*k + 4 = 2*u, -4*u + 4 = 5*k - 0*u. Factor -323*o - 2*o**2 - o**5 + 3*o**k - 1 + 2*o**3 + 2*o**5 + 320*o.
(o - 1)*(o + 1)**4
Let l be 13/32 - (-16 + 16). Let b = l - -3/32. Factor -v**4 + v**2 + 0*v**3 - 1/2*v + b*v**5 + 0.
v*(v - 1)**3*(v + 1)/2
Suppose 172800 = -12*n + 172836. Factor -1/4*b**n + 0*b - 3/4*b**2 + 1.
-(b - 1)*(b + 2)**2/4
Suppose 0*a = a + 14. Let w(g) = g**2 + 15*g + 17. Let u be w(a). Factor k**u + 6*k - k - 7*k + k**2.
k*(k - 1)*(k + 2)
Factor -21 - 3949*x**4 - 15*x**3 + 44*x + 3948*x**4 - 59 + 12*x**2 + 10*x**3.
-(x - 2)**2*(x + 4)*(x + 5)
Let w(t) = t**3 - 11*t**2 + 9*t + 12. Let c be w(10). Factor -300*y - 70*y**2 - 14*y**2 - 500 - 4*y**3 + 24*y**c.
-4*(y + 5)**3
Let c(n) = 6*n**2 - 19*n + 7. Let o(v) = -13*v + 5 + 86*v**2 - 171*v**2 + 89*v**2. Suppose 0 = -3*i - 0*i - 21. Let y(z) = i*o(z) + 5*c(z). Factor y(f).
2*f*(f - 2)
Factor -6/5*n**2 + 2/5*n**3 - 2/5 + 6/5*n.
2*(n - 1)**3/5
Suppose 3*q - 6 + 3 = 0. Let d be (-33)/(-6) + -1*q + 1. Solve 3/2*y**5 + 3*y**3 - 6*y**2 + d*y**4 + 0 - 4*y = 0.
-2, -2/3, 0, 1
Suppose -21/8*b**4 + 33/8*b**2 - 9/2*b - 3/2 + 9/2*b**3 = 0. What is b?
-1, -2/7, 1, 2
Let t(k) be the third derivative of k**7/525 - 11*k**6/300 + k**5/5 + 82*k**2. Find n such that t(n) = 0.
0, 5, 6
Suppose o + a = 65, -4*a - 286 = -4*o - 18. Let y = o + -64. Factor 0 + m**3 - 1/2*m**y - 1/2*m**4 + 0*m.
-m**2*(m - 1)**2/2
Suppose 26 = -492*n + 505*n. Factor 0 + 1/2*b + b**n + 1/2*b**3.
b*(b 