**2. Suppose i(v) = 0. Calculate v.
-10
Suppose -43 = -13*w - 21*w + 25. Find z such that -175/6*z**3 + 15*z**w - 4/3 + 2*z = 0.
-2/7, 2/5
Let b(w) = w**3 - 24*w**2 + 24*w - 19. Let p be b(23). Factor -15*q**2 - q**3 + 3*q**5 + 93*q - 99*q - 8*q**3 + 3*q**p.
3*q*(q - 2)*(q + 1)**3
Let q be (21/2)/(9/(-12)). Let h = q - -17. Factor -u - 1/3*u**h - 1/3 - u**2.
-(u + 1)**3/3
Let w(p) = 2*p**2 + 49*p + 42. Let l(v) = 9*v**2 + 244*v + 213. Let d(s) = -4*l(s) + 22*w(s). Factor d(k).
2*(k + 12)*(4*k + 3)
Let w(v) = 7*v**2 + 3*v + 1. Let r(l) = l + 2. Let z be r(-3). Let b be w(z). Suppose -x**5 - 4*x**4 + 9*x**b - 4*x**5 = 0. What is x?
0, 1
Let j = -10486 - -53386/5. Let r = -191 + j. Factor 4/5*o - o**2 + r*o**3 + 0.
o*(o - 4)*(o - 1)/5
Let g be 2*(2/4 + 0). Let p(k) = -4*k**4 + 4*k**3 + 5*k + 5. Let c(b) = b + 1. Suppose 53*u = -12*u - 325. Let n(o) = g*p(o) + u*c(o). Factor n(j).
-4*j**3*(j - 1)
Let k be 45/(-11 + 20) + (-2 - 98/35). Factor 6/5*s + s**2 + k*s**3 + 0.
s*(s + 2)*(s + 3)/5
Let g be ((-114)/10)/3 + (-376)/(-94). Find u such that -3/5*u + 4/5 - g*u**2 = 0.
-4, 1
Let a(z) be the third derivative of -z**7/1365 + 3*z**6/260 - 29*z**5/390 + z**4/4 - 6*z**3/13 - 2*z**2 + z. Suppose a(y) = 0. What is y?
1, 2, 3
Factor -28/15*d**2 + 98/15*d + 2/15*d**3 + 0.
2*d*(d - 7)**2/15
Factor 1185 + 3*b**2 - 1185 + 27*b.
3*b*(b + 9)
Let b(q) be the second derivative of 3*q**4/4 - 13*q**3/6 - 3*q**2/2 + 2*q. Let i(u) = -5*u**2 + 7*u + 2. Let g(s) = -4*b(s) - 7*i(s). Factor g(y).
-(y - 2)*(y - 1)
Let h be ((-148)/2590)/((-1)/21). Solve 6/5*s + 0 + h*s**3 - 12/5*s**2 = 0 for s.
0, 1
Let l(p) be the second derivative of p**5/60 + 2*p**4 + 96*p**3 + 2304*p**2 + p - 138. Suppose l(x) = 0. Calculate x.
-24
Suppose -u + 3*u - 18 = -4*d, -5*d + 20 = 2*u. Let o**4 + 40 + o**u - 40 - o**2 - o**3 = 0. Calculate o.
-1, 0, 1
Factor -1/4*o**2 + 0 - 3/4*o + 3/4*o**3 + 1/4*o**4.
o*(o - 1)*(o + 1)*(o + 3)/4
Let h be 8/44 + 10804/(-7392). Let k = 3/56 - h. Factor 4/3*o**3 + 2/3 - 2/3*o**4 + 0*o**2 - k*o.
-2*(o - 1)**3*(o + 1)/3
Determine l, given that 8/5*l**4 + 36/5 + 72/5*l**3 + 122/5*l - 2/5*l**5 + 148/5*l**2 = 0.
-2, -1, 9
Let m = -3810 - -3812. Determine p, given that 8/3*p + 1/3*p**m + 16/3 = 0.
-4
Let m(n) be the third derivative of n**7/2520 + n**6/3600 - n**4/2 + n**2 - 11*n. Let j(f) be the second derivative of m(f). Factor j(h).
h*(5*h + 1)/5
Factor -11*o**3 - 9*o**3 - 2*o + 22*o**3 - o**2 + 1 + 0.
(o - 1)*(o + 1)*(2*o - 1)
Let o(x) be the first derivative of -x**5/10 + x**4 - 7*x**3/2 + 9*x**2/2 + 173. Factor o(p).
-p*(p - 3)**2*(p - 2)/2
Let p be (-5)/(-2)*((-16)/100)/((-43)/430). Determine s, given that 11/4*s**2 + 0 + 1/4*s**p + 9/4*s**3 + s - 1/4*s**5 = 0.
-1, 0, 4
Let v(r) be the second derivative of 0 - 19*r + 5/12*r**4 + 10/3*r**3 + 10*r**2. Factor v(n).
5*(n + 2)**2
Suppose -117 - 46*v + 12*v**2 + 4*v**3 - 86*v - 23 = 0. Calculate v.
-7, -1, 5
Let p(k) be the second derivative of 0*k**2 - 1/112*k**7 + 0*k**4 + 0 - 1/80*k**5 - 7/240*k**6 + 0*k**3 + 12*k. Find f such that p(f) = 0.
-2, -1/3, 0
Find b, given that -17/5 + 16/5*b + 1/5*b**2 = 0.
-17, 1
Let w(l) = 180*l**2 - 2100*l + 15750. Let v(m) = -13*m**2 + 150*m - 1125. Let f(x) = -55*v(x) - 4*w(x). Factor f(d).
-5*(d - 15)**2
Let s(w) be the second derivative of 8*w**6/3 - 6*w**5 - 355*w**4/12 + 50*w**3 + 250*w**2 - 42*w + 2. Factor s(u).
5*(u - 2)**2*(4*u + 5)**2
Factor 2*w**4 + 2 - 14 - 6*w**2 + 6*w**3 - 401*w + 379*w.
2*(w - 2)*(w + 1)**2*(w + 3)
Let y(h) be the first derivative of -h**6/120 + 3*h**5/20 - 9*h**4/8 + 2*h**3 - 13. Let m(d) be the third derivative of y(d). Factor m(b).
-3*(b - 3)**2
Suppose -3*v = 3*l - 12, 5*l - 2 = 4*l. Factor -2*t - 60 + 7*t**2 - v*t**2 + 7*t.
5*(t - 3)*(t + 4)
Let y(u) = u**4 + u**3 + u**2 - u + 1. Let t(w) = -29*w**2 + 45*w**3 + w - 8*w**4 + 6 + 8*w**3 + 1. Let n(m) = 3*t(m) - 21*y(m). Let n(s) = 0. What is s?
0, 2/5, 2/3, 2
Let m = 847 + -847. Factor m*i**2 + 8/5 + 12/5*i - 4/5*i**3.
-4*(i - 2)*(i + 1)**2/5
Let w be ((-10)/20)/(2/(-20)). Factor -6*c**2 - w*c**2 + 3*c**4 + 3*c + 2*c**2 + c**3 + 6 - 4*c**3.
3*(c - 2)*(c - 1)*(c + 1)**2
Let v be (-11 + -1)/6 + 3. Let z be (-140)/49 + 2 - v*-2. Factor z*u + 10/7*u**3 + 0 + 24/7*u**2.
2*u*(u + 2)*(5*u + 2)/7
Let r = -2 + 7. Factor -5*y**5 + 4*y**r - 4*y**4 - 5*y**3 - 4*y**2 - y**3 - y + 0*y.
-y*(y + 1)**4
Suppose 4*l + 498 = 522. Let r be l - (-4 + 4 + 6). Suppose 0*o**2 + r - 1/11*o**3 + 1/11*o = 0. What is o?
-1, 0, 1
Let g(s) = -21*s**4 + 65*s**3 - 20*s**2 - 16*s + 4. Let c(x) = -41*x**4 + 130*x**3 - 40*x**2 - 31*x + 9. Let p(b) = -4*c(b) + 9*g(b). Factor p(d).
-5*d*(d - 2)*(d - 1)*(5*d + 2)
Let d(w) be the second derivative of -w**7/525 + w**5/150 + 4*w**2 + 26*w. Let p(v) be the first derivative of d(v). Factor p(k).
-2*k**2*(k - 1)*(k + 1)/5
Let p be (-40)/(-12)*-4*15/(-100). Factor -3/4*h**p + 0 - 1/4*h**3 + 0*h.
-h**2*(h + 3)/4
Let u(n) be the third derivative of n**6/60 + 2*n**5/3 + 125*n**4/12 + 250*n**3/3 - 27*n**2. Solve u(a) = 0 for a.
-10, -5
Let b = -45 - -81. Let a be 4*(-3)/(-18) + (-15)/b. Factor -1/2*u**2 - 1/4*u**3 + 0 - a*u.
-u*(u + 1)**2/4
Let i(g) be the third derivative of -g**8/1008 - g**7/126 - g**6/120 + g**5/36 + g**4/18 - 69*g**2. What is c in i(c) = 0?
-4, -1, 0, 1
Let k(r) = 5*r**5 + 24*r**4 + 20*r**3 + 4. Let p be (-3 + 0)*64/(-48). Let q(m) = -m**4 - 1. Let t(y) = p*q(y) + k(y). Find i such that t(i) = 0.
-2, 0
Find h such that 8 - 14 - 18*h**3 + 21*h**3 - 9*h = 0.
-1, 2
Let m(b) = b**3 + 4*b**2 - b - 4. Let g be m(-4). Find y such that -47*y**3 + 46*y**3 - 2*y - 3*y**2 + g*y = 0.
-2, -1, 0
Let h = 10551 + -10551. Suppose 0 - 1/3*y**4 - 1/3*y**5 + h*y + 1/3*y**3 + 1/3*y**2 = 0. What is y?
-1, 0, 1
Find w such that -w**2 + 10*w + 21*w + 144*w - 5*w + 171 = 0.
-1, 171
Let h(v) be the second derivative of v**5/50 + v**4/3 + 7*v**3/5 + 200*v. Factor h(p).
2*p*(p + 3)*(p + 7)/5
Let l be (100/30)/(4/(-6)). Let j = l + 49/9. Suppose -2/9*w**4 - j*w**3 + 4/9*w + 0*w**2 + 2/9 = 0. Calculate w.
-1, 1
Let -192*r**2 + 5*r**3 - 213*r**2 + 435*r**2 = 0. Calculate r.
-6, 0
Let v(p) be the first derivative of -2/9*p**3 + 1/3*p**2 + 3 + 2/3*p - 1/6*p**4. What is h in v(h) = 0?
-1, 1
Find k such that -3321*k**2 - 14*k**4 - 50*k**4 - 6 - 74*k + 3021*k**2 + k - 432*k**3 = 0.
-6, -1/4
Let p be (-180)/(-8)*12/10. Let b = 35 - p. Factor -h**2 + b*h**2 - 4 - 5*h**2 + 2*h.
2*(h - 1)*(h + 2)
Suppose 5*s = -4*g + 25, -s - 1 = -2*g - 6. Let u = s + -3. Find d, given that 2/5*d**5 + 0 - 2/5*d**4 + u*d**2 - 6/5*d**3 - 4/5*d = 0.
-2, 0, 1
Let c = 17 + -17. Let p be (2 - c)*5 - 4. Factor 4*r**2 - 4*r**2 - 2*r**4 - 12*r + 12*r**3 - 4*r**2 + p*r**4.
4*r*(r - 1)*(r + 1)*(r + 3)
Let x(d) be the second derivative of d**5/30 + 35*d**4/18 + 22*d**3/3 - 358*d. Factor x(s).
2*s*(s + 2)*(s + 33)/3
Suppose -5*s + 54 = -2*s - 3*l, s + l = 14. Factor 8*y**2 + s*y**3 + y**5 - 8 - 232*y - 5*y**5 + 220*y.
-4*(y - 2)*(y - 1)*(y + 1)**3
Let h(k) be the second derivative of k**7/42 - 4*k**6/15 + 13*k**5/20 - k**4/2 - k + 35. Factor h(i).
i**2*(i - 6)*(i - 1)**2
Let h be (6/(-84)*-7)/(-1)*-1. Let s(k) be the third derivative of 0*k + 0 + h*k**3 + 1/20*k**5 - 8*k**2 + 1/4*k**4. Solve s(c) = 0 for c.
-1
Factor -16*p**2 + 5*p**5 + 80*p + 94*p**2 + 7*p**2 + 40*p**4 + 75*p**2 + 120*p**3.
5*p*(p + 2)**4
Let d(b) be the first derivative of b**5/20 + 3*b**4/8 - b**3/12 - 3*b**2/4 - 109. Factor d(h).
h*(h - 1)*(h + 1)*(h + 6)/4
Let s(z) = -3*z**2 - 65*z - 35. Let d be s(-21). Let x(p) be the third derivative of -d*p**2 + 0*p - 1/15*p**3 - 1/45*p**4 + 0 - 1/450*p**5. Factor x(k).
-2*(k + 1)*(k + 3)/15
Let l(h) = -10*h - 205. Let q be l(-21). Let n(x) be the third derivative of 0*x**3 + 1/60*x**6 - 1/30*x**q + 2*x**2 + 0*x + 0 + 0*x**4. Solve n(s) = 0 for s.
0, 1
Suppose 4*b - 23*k + 15 = -28*k, -b - 5*k = 30. Suppose -4/9*h**3 - 8/9*h**2 + 20/9*h**4 + 0 + 0*h - 8/9*h**b = 0. What is h?
-1/2, 0, 1, 2
Factor 0 - 16/3*c - 44*c**3 + 24*c**4 + 80/3*c**2.
4*c*(2*c - 1)*(3*c - 2)**2/3
Let 2*p**2 + 4*p**2 + 26295 + 730*p - p**2 + 350 = 0. What is p?
-73
Let p(a) = -4*a - 1. Let x(s) = -7*s - 2. Let l(q) = -5*p(q) + 3*x(q). Let d be l(-4). Factor d*t**4 + 9*t - 3*t**3 - 9*t.
3*t**3*(t - 1)
Let l(k) be the third derivative of -k**5/90 + k**4/6 + 7*k