**h + g = 0. What is m?
-1, 0, 1, 2
Let q(x) be the third derivative of -x**8/1512 - 2*x**7/315 + x**6/15 + 47*x**5/135 - 161*x**4/36 + 40*x**3/3 + 2*x**2 + 9*x - 33. Let q(g) = 0. What is g?
-8, -5, 1, 3
Suppose -19*x = 2*x - 22197. Let g = 1060 - x. Determine t, given that 0*t - 4/9*t**2 - 2/9*t**g + 0 = 0.
-2, 0
Let p(b) be the first derivative of -2/9*b**3 + 80/3*b + 32 + 13*b**2. Factor p(t).
-2*(t - 40)*(t + 1)/3
Let h = -284195 - -284197. Factor 20*k - 4/5*k**3 - 52/5 - 44/5*k**h.
-4*(k - 1)**2*(k + 13)/5
Let b(u) = -2*u**3 + u**2 - 3. Let i(m) = 32*m**3 + 80*m**2 - 272*m + 148. Let z(l) = 12*b(l) + i(l). Solve z(q) = 0 for q.
-14, 1/2, 2
Let l be ((-3)/2)/(102/476). Let p be 12 + l + (-4 - (-45)/35). Let 4/7*s**2 + p + 16/7*s = 0. Calculate s.
-2
Let h(i) = 7*i**2 - 2*i + 8. Let k be h(2). Let r = k - 32. Solve 0*d - 2/11*d**3 + 2/11*d**2 + r = 0.
0, 1
Let l be (-26)/(-12) - ((-33)/18 - -2). Solve -59*z**2 + 29*z**l - 4*z**4 - 8*z**3 + 8*z + 34*z**2 = 0.
-2, -1, 0, 1
Let s(j) = 3*j**2 + 15*j - 35. Let k be s(-8). Factor 38*q**4 - k*q**4 - 3*q**2 + 2 + 4*q + 2 - 2*q**3.
(q - 2)**2*(q + 1)**2
Let c = -46966 - -46974. Let b(m) be the third derivative of 0*m**3 + 0*m**4 - 1/504*m**c - 3 + 0*m**7 + 1/45*m**5 + 1/60*m**6 + m**2 + 0*m. Factor b(n).
-2*n**2*(n - 2)*(n + 1)**2/3
Let m = 1020975/2 - 510485. Let n = 8 + -5. What is u in -1/2*u**n - 2*u + m*u**2 + 0 = 0?
0, 1, 4
Determine r, given that -409*r + 106*r**2 + 787*r - 382*r - 30*r**2 - 72*r**3 = 0.
0, 1/18, 1
Let n(c) = 65*c**2 - 5360*c - 5375. Let i(r) = 20*r**2 - 1787*r - 1792. Let g(v) = -10*i(v) + 3*n(v). Factor g(w).
-5*(w - 359)*(w + 1)
Let n(m) be the second derivative of m**6/10 + 24*m**5/5 + 285*m**4/4 + 225*m**3 + 1048*m. Determine k so that n(k) = 0.
-15, -2, 0
Let b be (8 + -15 + (5 - 4))*(-68)/12. Let k(n) be the second derivative of 1/75*n**6 + 1/5*n**3 + b*n + 0*n**2 - 1/30*n**4 - 3/50*n**5 + 0. Factor k(s).
2*s*(s - 3)*(s - 1)*(s + 1)/5
Let u be 3/(-14) + 3*(-19)/(-114). Factor 12/7*d + u*d**2 + 0.
2*d*(d + 6)/7
Suppose -115*f = -108*f - 133. Factor 13*x - 2*x**2 - 5*x**2 + 5*x**2 + x**2 + f*x.
-x*(x - 32)
Let m(h) be the third derivative of h**5/12 + 45*h**4/8 + 65*h**3/3 - 945*h**2. Suppose m(l) = 0. Calculate l.
-26, -1
Let g = 45 + -37. Suppose 42 = -5*j + g*j. Find t, given that -j + 17 - 2*t**2 - t**2 = 0.
-1, 1
Let c(d) be the first derivative of d**5/20 - 9*d**4/16 + 23*d**3/12 - 3*d**2/8 - 9*d + 1925. Find p, given that c(p) = 0.
-1, 3, 4
Factor 5*w**4 - 656*w + 645*w**2 - 110*w**3 - 210*w - 677*w + 1003*w.
5*w*(w - 12)*(w - 9)*(w - 1)
Let v(q) be the third derivative of -1/90*q**6 + 1/3*q**3 - 4/5*q**5 + 0*q - 24*q**4 - 6*q**2 + 0. Let x(d) be the first derivative of v(d). Factor x(z).
-4*(z + 12)**2
Let v(w) = -3*w**2 - 5*w - 1. Let h(k) = -10*k**2 - 1615*k + 126400. Let q(o) = h(o) - 5*v(o). Factor q(u).
5*(u - 159)**2
Let g(l) be the first derivative of -l**3/3 + 230*l**2 - 459*l + 5893. Factor g(t).
-(t - 459)*(t - 1)
Let u(z) be the second derivative of z**6/1440 + 19*z**5/480 + 3*z**4/16 + 55*z**3/6 + 3*z**2/2 + 282*z. Let g(h) be the second derivative of u(h). Factor g(x).
(x + 1)*(x + 18)/4
Let r(t) be the second derivative of 2 - 5/42*t**7 + 0*t**3 - 36*t**5 + 0*t**2 + 0*t**4 + 61*t + 4*t**6. Factor r(l).
-5*l**3*(l - 12)**2
Let z(m) be the first derivative of 2*m**3/3 + 56*m**2 - 354*m + 3557. Let z(w) = 0. Calculate w.
-59, 3
What is z in -40*z**2 - 65*z + 125 + 90*z**2 - 51*z**2 + 225 = 0?
-70, 5
Let q(p) be the first derivative of -13 + 0*p**4 + 5/3*p**3 + 1/300*p**5 + 0*p**2 + 0*p + 1/225*p**6. Let o(s) be the third derivative of q(s). Factor o(n).
2*n*(4*n + 1)/5
Let z(q) = 24323*q - 121612. Let d be z(5). Find v such that -12*v**2 - 33/2*v + 3/2*v**d + 27 = 0.
-2, 1, 9
Suppose 3/4*r**5 + 111/2*r**4 + 60*r**2 - 345/2*r**3 + 687/4*r - 231/2 = 0. What is r?
-77, -1, 1, 2
Let p(l) be the first derivative of -76 - 20/3*l - 8/3*l**2 + 4/9*l**3. Factor p(w).
4*(w - 5)*(w + 1)/3
Let q(k) = 42*k**2 - 1830*k - 147. Let b(r) = -2*r**2 + 23*r. Let p(f) = -3*b(f) - q(f). Solve p(g) = 0.
-1/12, 49
Let g(w) be the first derivative of -4*w**3/21 + 3714*w**2/7 + 7432*w/7 - 4785. Let g(k) = 0. What is k?
-1, 1858
Let c(d) be the second derivative of d**4/12 - 11*d**3/2 - 17*d**2 - 6354*d. Factor c(u).
(u - 34)*(u + 1)
Let o(c) be the second derivative of 0*c**2 + 4/9*c**3 - 3*c - 2/15*c**6 + 1/3*c**4 - 1/15*c**5 - 2/63*c**7 + 23. What is j in o(j) = 0?
-2, -1, 0, 1
Let f(x) = -17029*x - 34055. Let o be f(-2). Factor -1/4*y - 1/4*y**2 + o.
-(y - 3)*(y + 4)/4
Determine p, given that 34795 + 4*p**2 - 69471 + 34748 - 36*p = 0.
3, 6
Let m(d) = d**3 - d - 10. Let n(k) = -k**3 + k + 10. Let i(p) = 5*m(p) + 6*n(p). Let h be i(0). Factor -3 - 1 + h*c - 3 + 5*c**2 - 8.
5*(c - 1)*(c + 3)
Let j(f) be the third derivative of 0*f - 33 + 2*f**2 - 1/9*f**4 - 1/270*f**5 + 13/27*f**3. What is k in j(k) = 0?
-13, 1
Suppose -3*m - w - 2 = 2, 3*w - 16 = 5*m. Let h be ((48/40)/3)/(m/(-10)). Suppose 0 + 0*v**h + 0*v - 1/3*v**3 = 0. Calculate v.
0
Let t = 5771 - 11883/2. Let h = t + 1099/6. Find l, given that -2*l**4 + 26/3*l**3 + 22/3*l - h*l**2 - 4/3 = 0.
1/3, 1, 2
Let j = 1692 + -1690. Let q(f) be the second derivative of 1/110*f**5 + 0 + 0*f**j - 2/33*f**3 + 18*f + 1/66*f**4. Determine l so that q(l) = 0.
-2, 0, 1
Solve -1/7*x**2 - 22500/7 - 300/7*x = 0 for x.
-150
Factor -160000/7 - 4/7*a**2 - 1600/7*a.
-4*(a + 200)**2/7
Let z = 3533/5 - 701. Suppose -654*m + 46 = -631*m. Suppose -6/5 + z*v - 98/15*v**m = 0. What is v?
3/7
Let q(h) be the second derivative of 16*h - 27/8*h**2 + 1/2*h**3 - 1 - 1/48*h**4. Let q(r) = 0. What is r?
3, 9
Let g(x) = 3*x**3 + 139*x**2 - 314*x + 93. Let u(n) = -2*n**3 + n**2 - n - 1. Let s(c) = 2*g(c) + 6*u(c). Suppose s(w) = 0. Calculate w.
1/3, 2, 45
Suppose -2*m + 5*x = 13, 5*x = 2*m + 3*x + 10. Let n be m + (-3)/(-9)*15. Factor 9 + 8*r + 4*r - n + 4*r**2.
4*(r + 1)*(r + 2)
Let a(t) be the second derivative of -t**6/150 + 3*t**5/100 + 31*t**4/60 - t**3/10 - 63*t**2/5 + 8*t - 32. Factor a(w).
-(w - 7)*(w - 2)*(w + 3)**2/5
Let p(g) be the first derivative of g**2/2 + g - 20. Let o be p(1). Factor 3*r**2 + 3*r**3 + 5*r**2 + r**o.
3*r**2*(r + 3)
Let z = -151 + 155. Factor 31*t**2 - 93*t - 44*t**3 - 160 - 108*t**2 - 91*t**2 - 179*t - z*t**4.
-4*(t + 2)**3*(t + 5)
Let o = -35246 + 35248. What is b in -8/3*b - 2/3*b**4 + 2*b**3 + 0 + 0*b**o = 0?
-1, 0, 2
Factor -12121 + 30*f - 51*f**2 - 3*f**4 + 12121 + 24*f**3.
-3*f*(f - 5)*(f - 2)*(f - 1)
Factor -2/5*a**2 + 48/5*a - 46/5.
-2*(a - 23)*(a - 1)/5
Let w(q) = -442*q**2 + 252*q + 1310. Let i(u) = 201*u**2 - 126*u - 655. Let m(k) = 11*i(k) + 5*w(k). Suppose m(z) = 0. What is z?
-5, 131
Factor -1/5*d**3 + 139/5*d + 14 + 68/5*d**2.
-(d - 70)*(d + 1)**2/5
Let k be ((-28)/7)/(147/(-42)). Let y(x) be the first derivative of -k*x**2 + 2/21*x**3 + 32/7*x + 3. Factor y(q).
2*(q - 4)**2/7
Suppose 9*a - 39 = -12. Let l be 7/a - (20/(-3) - -7). Determine x, given that -11*x**2 + 18*x**2 + x**3 + 81 + 10*x**l + 99*x + 2*x**2 = 0.
-9, -1
Let z(s) be the first derivative of s**5/20 + 15*s**4/2 + 3469*s**3/12 - 4209*s**2/4 - 7442*s + 1144. Factor z(q).
(q - 4)*(q + 2)*(q + 61)**2/4
Factor -8460015*d - 492*d**3 - 2117823755 + 974*d**3 - 11265*d**2 - 487*d**3.
-5*(d + 751)**3
Let r(l) be the third derivative of -l**6/72 - 5*l**5/6 - 125*l**4/6 + l**3 - 3*l**2 - 5*l. Let a(w) be the first derivative of r(w). Factor a(j).
-5*(j + 10)**2
Let w be 2/4*(-728)/(-910). Factor -w*m**2 + 58/5*m - 56/5.
-2*(m - 28)*(m - 1)/5
Suppose 6*h + 54 = 306. Let s = 47 - h. Find a such that -3*a + a**3 + a**s - 4*a**4 - 16*a**2 + 18*a**2 + 1 + a**4 + a**3 = 0.
-1, 1
Let k = -8038697 + 25177201361/3132. Let q = k - 2/783. Factor 0*p**2 + 0 + 0*p - 3/2*p**3 + q*p**4.
3*p**3*(p - 2)/4
Suppose q + 0*q = 2. Suppose 0 = q*v - 3*v + 3. Determine j, given that -2*j**4 + 4*j**4 + 2*j**2 + 5*j**v + 3*j**3 - 4*j**3 = 0.
-1, 0
Let u be (-15)/(-12) + (-18)/(-24). Determine z, given that 11*z**2 - 19 - 20*z - 4*z**u - 4*z**2 - 4*z**2 = 0.
-19, -1
Suppose 5*k + 3*y + 15 = 0, -2*k - 4*y = 1101 - 1081. Factor 3/2*v + 13/2*v**2 + k.
v*(13*v + 3)/2
Let j be ((-585)/30)/(1794/(-276)). Suppose 0 + 0*b + 9/7*b**2 - 12/7*b**j + 3/7*b**4 = 0. Calculate b.
0, 1, 3
Let h