*d**3 - 111*d**2 + 63*d - 7. Let j(p) = -4*p**4 - 20*p**3 + 56*p**2 - 32*p + 4. Let k(v) = -4*h(v) - 7*j(v). Let k(b) = 0. What is b?
-7, 0, 1
Let n = 1110492913/603 + -1841613. Let a = n + -2/201. Factor -4/9*k + 0*k**2 + a*k**3 - 2/9*k**4 + 2/9.
-2*(k - 1)**3*(k + 1)/9
Let t(j) be the second derivative of j**4/84 - 11*j**3/42 + 12*j**2/7 - 324*j. Factor t(i).
(i - 8)*(i - 3)/7
Factor -53/3*l - l**2 - 34/3.
-(l + 17)*(3*l + 2)/3
Let n(m) = 3*m**2 - 128*m - 2048. Let i(k) = -4*k**2 + 128*k + 2048. Let p(j) = -5*i(j) - 6*n(j). Suppose p(t) = 0. What is t?
-32
Suppose -36*t = 3*h - 31*t, t = -h. Factor 1/11*y**3 + 0 + h*y**2 - 1/11*y.
y*(y - 1)*(y + 1)/11
Let q = -641 - -641. Let c(n) be the first derivative of 1/5*n**5 + 5 + 0*n**2 + 1/2*n**4 + q*n + 0*n**3. Suppose c(j) = 0. What is j?
-2, 0
Let s(f) be the first derivative of -f**3/15 - 17*f**2/10 - 16*f/5 + 46. Let s(m) = 0. What is m?
-16, -1
Let u(l) = 5*l**5 + 3*l**4 - 3*l**3 - 14*l**2 + 18*l + 3. Let v(m) = 9*m**5 + 7*m**4 - 7*m**3 - 28*m**2 + 34*m + 5. Let p(s) = -5*u(s) + 3*v(s). Factor p(k).
2*k*(k - 1)**2*(k + 2)*(k + 3)
Let m(u) be the third derivative of -u**5/60 + 3*u**4/8 - 3*u**3 - 65*u**2 - 2. Factor m(l).
-(l - 6)*(l - 3)
Suppose 40*n - 600 - 2/3*n**2 = 0. What is n?
30
Factor 8/3*g - 2/3*g**3 + 4/3*g**2 + 0 - 1/3*g**4.
-g*(g - 2)*(g + 2)**2/3
Let x(m) be the second derivative of -m**6/135 + m**5/18 + m**4/9 - 2*m - 1. Factor x(h).
-2*h**2*(h - 6)*(h + 1)/9
Let x(z) be the second derivative of z**5/300 - 17*z**4/60 + 289*z**3/30 - 2*z**2 - 21*z. Let o(i) be the first derivative of x(i). Let o(n) = 0. Calculate n.
17
Suppose 0 = 5*g - 7 - 8. Factor 6 - 6*r - r**2 - 2*r**g - 8 + 20 - 9*r**2.
-2*(r - 1)*(r + 3)**2
Suppose 2*b - 50 = -3*b - 5*q, -2*q + 36 = 4*b. Factor 4*h**2 - b - 12*h**2 + 4*h**2 - 12*h.
-4*(h + 1)*(h + 2)
Let v(t) be the first derivative of -t**3/6 - 57*t**2/4 - 28*t + 146. Determine p, given that v(p) = 0.
-56, -1
Let p(t) be the first derivative of t**4/26 - 8*t**3/13 - 27*t**2/13 - 28*t/13 - 60. Factor p(o).
2*(o - 14)*(o + 1)**2/13
Let h(z) be the first derivative of -1/4*z**4 - 3/5*z**3 + 27/20*z**2 + 27/10*z - 1/60*z**6 + 7/50*z**5 + 49. Factor h(s).
-(s - 3)**3*(s + 1)**2/10
Let c = -176 - -168. Let b be ((-14)/7)/(18/c - 1). Suppose -98/13*i**2 - 56/13*i - b = 0. What is i?
-2/7
Let z(q) = -q - 1. Let u(b) = -b**2 - 14*b - 16. Let g be u(-13). Let w be z(g). Factor o**2 + 2*o**2 - 3*o**2 - w*o**2.
-2*o**2
Suppose 4*c + 9 = -3*f + 31, 2*c - f - 16 = 0. Factor -9 - c - 16*p - p**2 - 3*p**2.
-4*(p + 2)**2
Let l be (2/27)/((-21 + -9)/(-270)). Factor -l*c**3 + 8/3*c**2 + 0 + 0*c.
-2*c**2*(c - 4)/3
Let x(t) be the first derivative of t**3/5 - 3*t**2/5 - 9*t - 186. Factor x(y).
3*(y - 5)*(y + 3)/5
Let i(q) be the second derivative of 2/135*q**6 - 2/9*q**2 + 0 + 2/45*q**5 + 0*q**4 - 4/27*q**3 + 23*q. Solve i(a) = 0 for a.
-1, 1
Let u(k) be the second derivative of 7/51*k**3 + 0 + 1/170*k**5 + 11*k - 5/102*k**4 - 3/17*k**2. Solve u(d) = 0.
1, 3
Let a(h) be the second derivative of h**4/30 - 64*h**2/5 + 183*h. Factor a(t).
2*(t - 8)*(t + 8)/5
Let w = -43 - -49. Let u = 9 - w. Factor i + 2/3 - 1/3*i**u + 0*i**2.
-(i - 2)*(i + 1)**2/3
Suppose -6/7 + 1/7*o**2 + 1/7*o = 0. Calculate o.
-3, 2
Let t(q) be the first derivative of -q**6/6 + 8*q**5/5 - q**4/2 - 32*q**3/3 - 21*q**2/2 - 203. Factor t(x).
-x*(x - 7)*(x - 3)*(x + 1)**2
Let w(d) be the third derivative of -d**5/240 + 29*d**4/48 - 841*d**3/24 + 55*d**2. Factor w(q).
-(q - 29)**2/4
Let y(r) be the third derivative of -68/105*r**7 - 1/4*r**8 + 9/10*r**6 + 0*r**3 + 8/5*r**5 + 0*r + 2/3*r**4 + 0 - 9*r**2. Find p, given that y(p) = 0.
-2, -1/3, -2/7, 0, 1
Factor -209*s**3 - 426*s**2 + 156*s - 252*s + 21*s**4 - 100*s**3.
3*s*(s - 16)*(s + 1)*(7*s + 2)
Suppose 6 = 4*x - x. Determine o, given that -4*o + 34*o**3 + 30*o**2 + 24*o + 4 + 4*o**5 + 20*o**4 + 10*o**x + 6*o**3 = 0.
-1
Factor -12*b + 4/3*b**2 + 24.
4*(b - 6)*(b - 3)/3
Let i(w) be the second derivative of w**4/6 + 8*w**3/3 + 12*w**2 - 3*w + 15. Let i(q) = 0. What is q?
-6, -2
Let j(w) be the third derivative of 1/84*w**8 - 1/15*w**6 - 4/105*w**7 + 8 - 7/6*w**4 - 2*w**2 + 0*w + 8/15*w**5 + 4/3*w**3. Determine n, given that j(n) = 0.
-2, 1
Let d be 12/16*28/7. Solve 9*z**2 - d*z**4 + 5*z**3 - 6*z - 2*z**3 + 3*z**5 - 6*z**4 = 0 for z.
-1, 0, 1, 2
Let j(k) be the third derivative of -23*k**6/360 + 47*k**5/180 - 25*k**4/72 + k**3/18 + 177*k**2. Factor j(h).
-(h - 1)**2*(23*h - 1)/3
Let s(z) be the third derivative of z**8/45360 + z**7/1134 + z**6/180 - z**5/4 + 8*z**2 + 2*z. Let f(u) be the third derivative of s(u). Factor f(k).
4*(k + 1)*(k + 9)/9
Let a(p) be the second derivative of p**5/90 - 5*p**4/54 - 8*p**3/27 + 16*p**2/3 + 42*p - 3. Suppose a(d) = 0. Calculate d.
-3, 4
Let n be 6/((-5 + 8)*(-20)/(-165)). Let l(s) be the second derivative of n*s**4 + 0 - 4*s - 121/20*s**5 + 4*s**2 + 14*s**3. Find y, given that l(y) = 0.
-2/11, 2
Factor 25*g**4 - 86*g**3 + 3*g**5 - 7*g**2 + 5*g**4 + 137*g**3 + 31*g**2.
3*g**2*(g + 1)**2*(g + 8)
Let n(y) be the second derivative of 0 - 5/3*y**3 + 7/2*y**2 + 1/12*y**5 + 5*y + 5/24*y**4. Let m(u) be the first derivative of n(u). What is o in m(o) = 0?
-2, 1
Suppose 3*s + 8 - 29 = 0. Let v be 0/(6 - 35/s). What is i in v*i + 0 - 10/9*i**4 + 4/9*i**2 + 2/3*i**3 = 0?
-2/5, 0, 1
Let g(h) be the second derivative of -h**6/20 + 3*h**4/8 + h**3/2 + 104*h. Let g(c) = 0. Calculate c.
-1, 0, 2
Let b(c) be the first derivative of c**4/26 - 238*c**3/39 + 235*c**2/13 - 18*c + 393. Factor b(d).
2*(d - 117)*(d - 1)**2/13
Find x, given that x + 1/3*x**3 + 3 - 5/3*x**2 = 0.
-1, 3
Let g = 281 + -281. Let q(c) be the third derivative of 0 - 5*c**2 - 1/120*c**6 + g*c - 1/24*c**4 - 1/30*c**5 + 0*c**3. Factor q(y).
-y*(y + 1)**2
Suppose 38*l - 274 - 102 + 262 = 0. Solve 64/7*k + 1/7*k**4 - 15/7*k**l + 48/7*k**2 + 0 = 0 for k.
-1, 0, 8
Let m(k) be the second derivative of 6*k + 1/6*k**4 + 1/60*k**5 + 2/3*k**3 + 0 + k**2. Let u(l) be the first derivative of m(l). Factor u(b).
(b + 2)**2
Let r(l) be the first derivative of l**4/24 - l**3/18 - l**2/12 + l/6 - 30. Find m, given that r(m) = 0.
-1, 1
Let w(p) = p**3 - 8*p**2 - 9*p + 18. Let q(d) = 2*d**3 - 18*d**2 - 18*d + 36. Let b(s) = -3*q(s) + 7*w(s). Let b(o) = 0. Calculate o.
-3, 2, 3
Let l(n) be the first derivative of -n**6/30 - n**5/15 - 16*n**3/3 + 25. Let h(w) be the third derivative of l(w). Factor h(b).
-4*b*(3*b + 2)
Let d(h) be the first derivative of 7*h**5/10 - 19*h**4/8 + 5*h**3/2 - h**2/4 - h - 2. Determine b, given that d(b) = 0.
-2/7, 1
Let u = 23705/9 - 2631. What is q in -u*q**2 - 6*q**3 + 0 - 46/9*q**4 - 14/9*q**5 - 4/9*q = 0?
-1, -2/7, 0
Let i be ((-528)/(-15))/22*(-4)/(-16). What is d in -1/5*d**5 - 1/5*d**4 + 0*d + 0 + i*d**3 + 0*d**2 = 0?
-2, 0, 1
What is l in -4/11*l**5 + 0*l**2 + 2/11*l**3 + 2/11*l**4 + 0*l + 0 = 0?
-1/2, 0, 1
Let x(j) be the first derivative of j**7/336 + 17*j**6/720 + j**5/15 + j**4/12 + 13*j**3/3 - 4. Let q(f) be the third derivative of x(f). Factor q(i).
(i + 1)*(i + 2)*(5*i + 2)/2
Suppose 12 = w + 5*u - u, 0 = -5*w + u + 18. Let n = w + -2. Factor -3*d**n - 3*d**4 + 5*d**2 - 2*d - 2*d**3 + 4*d + d**4.
-2*d*(d - 1)*(d + 1)**2
Let x(m) = 5*m**5 + 71*m**4 + 362*m**3 - 430*m**2 + 2. Let v(l) = 6*l**5 + 72*l**4 + 363*l**3 - 429*l**2 + 3. Let f(h) = 2*v(h) - 3*x(h). Factor f(u).
-3*u**2*(u - 1)*(u + 12)**2
Let n(c) = -130*c**3 + c**2 + c. Let x be n(-1). Let g be (-8 - x/(-15))/(8/6). Factor -r**2 + 1/4*r**3 - g + 5/4*r.
(r - 2)*(r - 1)**2/4
Let c(u) be the third derivative of u**5/5 + 11*u**4/8 + 3*u**3 + 6*u**2 + 7*u. Factor c(s).
3*(s + 2)*(4*s + 3)
Let i(q) = 2*q**4 - q**3 - 2*q**2 - 11*q - 6. Let m(b) = -b**4 + b**3 + b**2 + 9*b + 5. Let r(v) = -5*i(v) - 6*m(v). Factor r(f).
-f*(f - 1)*(f + 1)*(4*f + 1)
Let w be ((5 + -77)/(-12))/7. Find g, given that -18/7*g**2 - 2/7*g**3 - 6/7*g + 4/7 + w*g**4 = 0.
-1, 1/3, 2
Let y(p) be the third derivative of p**8/5880 - p**6/420 - p**5/210 - p**3/3 - 16*p**2. Let j(q) be the first derivative of y(q). Solve j(g) = 0.
-1, 0, 2
Let t(l) = 2*l**4 - 18*l**3 + 8*l**2 + 12*l - 16. Let n(k) = -k**4 + 19*k**3 - 9*k**2 - 11*k + 18. Let m(g) = -3*n(g) - 4*t(g). Determine w so that m(w) = 0.
-1, 1, 2
Let h = 349 + -349. Factor 