-2388/5 + 489. Factor -9/5*h**3 + 24/5 + s*h**2 - 18*h.
-3*(h - 4)*(h - 2)*(3*h - 1)/5
Let j(u) be the second derivative of -u**4/6 - 31*u**3/3 - 30*u**2 + 129*u - 2. Find v such that j(v) = 0.
-30, -1
Factor -56*c**4 - 62*c**4 + 123*c**4 - 5*c**2 + 10*c**3 - 10*c.
5*c*(c - 1)*(c + 1)*(c + 2)
Suppose 3*m = -0*m - 5*s + 11, -2*m - 2*s = -6. Let p(h) be the first derivative of 1/3*h**3 - 3 - 2*h - 1/2*h**m. What is j in p(j) = 0?
-1, 2
Let n(y) = 4*y**2 + 98*y - 32. Let c(l) = 5*l**2 + 97*l - 48. Let d(o) = 4*c(o) - 6*n(o). Determine q, given that d(q) = 0.
-50, 0
Suppose 33*l - 132 = -0. Let b(w) be the second derivative of 0 + 1/14*w**3 + 1/84*w**l + 14*w + 1/7*w**2. What is c in b(c) = 0?
-2, -1
Suppose 27 = 5*b + 7. Let j(q) be the second derivative of -q - 2/21*q**3 - 1/84*q**b - 3/14*q**2 + 0. Solve j(y) = 0.
-3, -1
Let r(i) = 3*i**2 - 33*i. Let y(g) = -g**2 - 2*g. Let q(t) = -5*r(t) - 20*y(t). Suppose q(f) = 0. What is f?
-41, 0
Factor -3*i**2 + 470 - 126*i - 2*i**2 - 339*i.
-5*(i - 1)*(i + 94)
Let x(a) = a**3 - a**2 + a - 3. Suppose -6*s + 2*z + 2 = -3*s, 4 = 3*s - z. Let m be x(s). Solve 14/9*b**m - 4/9*b + 0 + 10/9*b**2 = 0.
-1, 0, 2/7
Let b(h) = 55*h**4 + 55*h**3 - 55*h**2 - 120*h + 65. Let s(k) = -5*k**4 - 5*k**3 + 5*k**2 + 11*k - 6. Let x(p) = 6*b(p) + 65*s(p). Factor x(z).
5*z*(z - 1)*(z + 1)**2
Let h(k) = k**5 - k**3. Let a(z) = z**5 - z**3. Let v = -30 + 52. Let j = v + -17. Let o(r) = j*h(r) - 6*a(r). Factor o(g).
-g**3*(g - 1)*(g + 1)
Let f(n) be the second derivative of n**7/1890 - n**6/162 - 43*n**3/6 - 36*n. Let j(u) be the second derivative of f(u). Suppose j(p) = 0. What is p?
0, 5
Suppose -7*n = -2*n - q + 347, -5*q + 125 = -2*n. Let x = -279/4 - n. What is a in 1/4*a**2 + 1/2*a + x = 0?
-1
Suppose 22*j - 91 = 15*j. Suppose -3*b - j + 22 = 0. Factor 2/3*o + 0 - 7/3*o**2 + 1/3*o**5 + b*o**3 - 5/3*o**4.
o*(o - 2)*(o - 1)**3/3
Let i be 0 + (8/4 - (-1 - -1)). Suppose 5*k - 5*n - 30 + 0 = 0, -i*n - 9 = -k. Suppose 40/3*j - 13*j**2 - 4 + 3*j**k = 0. Calculate j.
2/3, 3
Let z(r) be the second derivative of -r**4/42 + 2*r**3/7 + 13*r**2 - 14*r + 10. Factor z(l).
-2*(l - 13)*(l + 7)/7
Let s(x) be the second derivative of -x**6/120 + 3*x**5/16 - x**4 + 11*x**3/6 - 207*x. Factor s(j).
-j*(j - 11)*(j - 2)**2/4
Let o be (-80)/20 - (-6)/1. Factor 0*x**3 - o*x + 5*x**3 + 3*x**3.
2*x*(2*x - 1)*(2*x + 1)
Let i(s) be the second derivative of 2*s**6/45 + s**5/15 - 4*s**4/9 - 8*s**3/9 + 44*s - 2. Factor i(b).
4*b*(b - 2)*(b + 1)*(b + 2)/3
Determine a, given that 12/7*a**2 + 9/7*a**3 - 12/7*a - 12/7*a**4 + 3/7*a**5 + 0 = 0.
-1, 0, 1, 2
Let y = -25215 + 25215. Let 8/9 + 2/9*r**3 + y*r - 2/3*r**2 = 0. What is r?
-1, 2
Suppose 12*n + 3 = 3. Suppose 7*d - 28 = -n. Let 4/3*s**3 + 2/9*s**5 + 0 + 8/9*s**2 + 8/9*s**d + 2/9*s = 0. Calculate s.
-1, 0
Let a(k) be the second derivative of 0 + 0*k**2 + 1/12*k**4 + 43*k - 1/2*k**3. Find x, given that a(x) = 0.
0, 3
Let q be -4 + (418/95)/((-8)/(-10)). Let z(f) be the first derivative of -1/2*f**3 + 3/16*f**4 + q*f - 2 - 3/8*f**2. Solve z(k) = 0 for k.
-1, 1, 2
Solve -1/3*s**2 - 1/3*s + 2/3 = 0.
-2, 1
Let t(z) be the first derivative of z**4/2 - 4*z**3 - z**2 + 60*z - 177. Let t(b) = 0. What is b?
-2, 3, 5
Let v(u) be the third derivative of u**6/720 + 7*u**5/60 + 49*u**4/16 - 8*u**2 - 2. Factor v(j).
j*(j + 21)**2/6
Let m(i) = -2*i**3 + 7*i**2 - 36*i + 24. Let z(o) = -2*o**3 + 5*o**2 - 24*o + 16. Let n(w) = -5*m(w) + 7*z(w). Factor n(f).
-4*(f - 1)**2*(f + 2)
Let g be 3 + -2 + -4 + 4. Let q be 6/(-12)*(g + -2). Suppose 1/4*d**5 + 0 - 1/2*d**2 + q*d**4 + 0*d**3 - 1/4*d = 0. Calculate d.
-1, 0, 1
Let v(q) = -282*q - 3098. Let r be v(-11). What is d in 0 + 1/2*d**2 + 1/2*d - 1/4*d**r + 1/8*d**5 - 3/8*d**3 = 0?
-1, 0, 2
Suppose -7*v = 4*i - 2*v + 989, 3*i + 733 = -2*v. Let d = -1199/5 - i. Solve d*a + 1/5*a**2 + 9/5 = 0 for a.
-3
Let z(b) = 22*b**3 - 307*b**2 - 319*b - 77. Let v(i) = -64*i**3 + 920*i**2 + 956*i + 232. Let j(q) = 3*v(q) + 8*z(q). Find n such that j(n) = 0.
-1/2, 20
Let n(k) be the third derivative of k**5/210 + 41*k**4/84 + 41*k**2. Suppose n(f) = 0. Calculate f.
-41, 0
Factor 5/4*i**2 + 1/4*i**4 + 0 - 3*i + 3/2*i**3.
i*(i - 1)*(i + 3)*(i + 4)/4
Let l = -1/32 + 17/32. Let y = -24/673 - -721/1346. Factor -b + b**3 - y + l*b**4 + 0*b**2.
(b - 1)*(b + 1)**3/2
Let r(n) be the first derivative of 2*n**3/5 - 29*n**2/5 + 36*n/5 + 21. Factor r(u).
2*(u - 9)*(3*u - 2)/5
Let f(w) be the second derivative of w**7/231 - 17*w**6/165 + 17*w**5/22 - 163*w**4/66 + 134*w**3/33 - 40*w**2/11 - 15*w - 22. Find m, given that f(m) = 0.
1, 4, 10
Let k(j) be the third derivative of j**5/360 - j**4/36 + 4*j**2 + 5. Determine o, given that k(o) = 0.
0, 4
Let k = 32 - 21. Suppose 0*l - 22 = -5*l + 4*i, l - 3*i = k. Suppose 2*y**3 - l*y + 4*y**2 + 6*y - 10*y**2 = 0. Calculate y.
0, 1, 2
Let w(g) be the second derivative of -3/8*g**2 + 5/24*g**3 + 0 - 1/48*g**4 - 1/80*g**5 + 13*g. Factor w(l).
-(l - 1)**2*(l + 3)/4
Let t be 8/24 + 14/3. Let o(l) be the first derivative of -3/8*l**4 + 0*l**t + 1/3*l**3 + 0*l + 10 + 1/12*l**6 + 0*l**2. Suppose o(g) = 0. What is g?
-2, 0, 1
Determine w, given that 40*w**5 + 4*w - 41*w**5 + 5*w**2 + 9*w**3 - 16*w - w**2 = 0.
-2, 0, 1, 3
Let i(o) be the first derivative of -o**5/20 - 11*o**4/16 - 7*o**3/12 + 147*o**2/8 + 192. Factor i(f).
-f*(f - 3)*(f + 7)**2/4
Let g(b) = -7*b**4 - 11*b**3 + 41*b**2 - 66*b + 28. Let i(p) = 4*p**4 + 6*p**3 - 20*p**2 + 33*p - 14. Let c(t) = -3*g(t) - 5*i(t). Factor c(o).
(o - 2)*(o - 1)**2*(o + 7)
Let g(w) be the second derivative of w + 1/4*w**4 + 0 + 0*w**2 + 1/2*w**3. Determine y so that g(y) = 0.
-1, 0
Let a be (-14259)/(-1164) + 2/(-2). Factor 75/4*l - a*l**2 + 125/4 + 5/4*l**3.
5*(l - 5)**2*(l + 1)/4
Let c(v) = -9*v**3 - 3*v**2 - v + 3. Let n(t) = -8*t**3 - 4*t**2 + 4. Let d(w) = -4*c(w) + 5*n(w). Let d(z) = 0. Calculate z.
-2, -1, 1
Let k(p) = p**3 + 6*p**2 - 9*p - 10. Let d be k(-7). What is j in -d*j + 12*j**3 + 3*j - 5*j + 3*j**2 - 3 - 6*j = 0?
-1, -1/4, 1
Factor -25*m - m**3 - 2*m**2 - 3*m**4 + 11*m**3 - 7*m**2 + 28*m - m**3.
-3*m*(m - 1)**3
Find t, given that -4/3 + 8/3*t**3 + 1/3*t**4 - 13/6*t + t**2 - 1/2*t**5 = 0.
-1, 1, 8/3
Let a(s) = 4*s**3 - 3*s**2 + 2*s. Let i be a(1). Let r(w) be the first derivative of 2 - 1/2*w**3 + i*w + 3/4*w**2. Factor r(k).
-3*(k - 2)*(k + 1)/2
Let f be -2*(-1 - -9)/(-2). Suppose -5*n + n = f, -b = -2*n - 5. Suppose -b - r**2 + r - 5*r - 2 + 0*r = 0. What is r?
-3, -1
Let u = 20491/374 - 1195/22. Determine w, given that 18/17*w**4 + 40/17*w**3 - 40/17*w - u - 10/17*w**2 = 0.
-2, -1, -2/9, 1
Let t = -1588 + 6379/4. Factor -3/4 + 15/4*z - t*z**2 + 21/4*z**3 - 3/2*z**4.
-3*(z - 1)**3*(2*z - 1)/4
Let k(g) = -3*g**2 - 32*g - 31. Let y(x) = -48*x**2 - 513*x - 498. Let o(v) = 33*k(v) - 2*y(v). Factor o(n).
-3*(n + 1)*(n + 9)
Let h = 125 - 119. Let m(s) be the third derivative of 1/27*s**4 - 1/180*s**h + 0 + 2/135*s**5 + 0*s + 0*s**3 - s**2 - 2/945*s**7 + 1/1512*s**8. Factor m(l).
2*l*(l - 2)**2*(l + 1)**2/9
Let q(i) be the second derivative of i**5/120 - i**3/4 + 2*i - 12. Find p such that q(p) = 0.
-3, 0, 3
Let o(l) be the third derivative of -l**8/1344 + l**7/126 - 5*l**6/144 + l**5/12 + l**4/4 + 2*l**2. Let u(g) be the second derivative of o(g). Solve u(r) = 0.
1, 2
Let o be (8 + 100/(-15))*2/4. Factor -4/3 + 2/3*k**4 - 2*k**3 + o*k**2 + 2*k.
2*(k - 2)*(k - 1)**2*(k + 1)/3
Let w(k) = -k + 15. Let o be w(15). Suppose -20 = -o*g - 5*g. Factor 2*z**g + 5*z**3 - 7*z**3 - 4*z**4 + 4*z**3.
-2*z**3*(z - 1)
Solve 15*f**5 + 8*f**4 - 13*f**5 + 3*f**2 - 11*f**2 + 6*f**3 - 8*f = 0.
-2, -1, 0, 1
Let g be (-37)/(-6) - (-10 + 16). Let r(b) be the second derivative of -1/6*b**2 + 0 - g*b**3 + 1/36*b**4 + b + 1/20*b**5. Solve r(i) = 0 for i.
-1, -1/3, 1
Let q(r) be the second derivative of r**6/150 + r**5/50 - r**3/15 - r**2/10 + 63*r. Let q(y) = 0. What is y?
-1, 1
Let g(q) be the first derivative of -q**4/12 - 20*q**3/9 - 50*q**2/3 + 210. Factor g(r).
-r*(r + 10)**2/3
Let m(o) be the first derivative of -o**4/4 - 8*o**3/3 + o**2/2 + 8*o - 183. Factor m(i).
-(i - 1)*(i + 1)*(i + 8)
Let b**2 + 3580 - 64*b + 343 + 206*b - 608 + 1726 = 0. Calculate b.
-71
Let w(d) = d**2 - 16*d + 4. Let l = 101 - 106. Let u(q) = q**2 - 17*q + 5. Let v(f)