+ 0*f**3 - 2/5*f**5 + 0*f + 0*f**2 - 2*f**4. Solve l(b) = 0 for b.
-4, 0
Let w(s) = 8*s**4 - 70*s**3 + 59*s**2 + 85*s - 72. Let y(k) = 4*k**4 - 36*k**3 + 30*k**2 + 42*k - 36. Let h(m) = 2*w(m) - 5*y(m). Factor h(b).
-4*(b - 9)*(b - 1)**2*(b + 1)
Let v = -27/238 - -367/238. Factor v*r**2 + 32/7*r + 32/7 + 1/7*r**3.
(r + 2)*(r + 4)**2/7
Let i(f) be the second derivative of -f**3/6 - 9*f**2/2 + f. Let s be i(-14). Factor -6*z**s - 3*z**3 + z**5 + 11*z**3 + z**5 - 4*z.
-4*z*(z - 1)**2*(z + 1)**2
Suppose 4*b - 20 = 3*w, w + 3*w + 5 = b. What is v in 2*v**3 + 12*v - 18*v**2 + w*v - 8*v + 24*v**2 = 0?
-2, -1, 0
Let k(g) be the third derivative of 1/8*g**6 - 1/42*g**7 + 0 - 1/6*g**5 + 0*g + 0*g**3 - 2*g**2 + 0*g**4. Factor k(p).
-5*p**2*(p - 2)*(p - 1)
Let g(d) be the first derivative of d**3/15 + 9*d**2/10 + 8*d/5 - 94. Suppose g(o) = 0. What is o?
-8, -1
Let g(n) be the first derivative of 5*n**6/3 + 52*n**5/5 - 141*n**4/10 - 212*n**3/15 + 116*n**2/5 - 48*n/5 - 790. Find y, given that g(y) = 0.
-6, -1, 2/5, 1
Let u be 2 + 6/(3 - 0) - -1. Find q such that u*q + 25*q**2 + q**3 - 23*q**2 - 8*q = 0.
-3, 0, 1
Let w(z) be the third derivative of 0 - 3/2*z**4 + 0*z**3 - 2/5*z**5 + 0*z - 16*z**2 - 1/30*z**6. Factor w(t).
-4*t*(t + 3)**2
Let q = 2225 - 11109/5. Factor 8/5*o**3 - 1/5*o**4 + q - 8/5*o - 3*o**2.
-(o - 4)**2*(o - 1)*(o + 1)/5
Let n(q) be the first derivative of 20*q**6/39 - 334*q**5/65 - 1155*q**4/26 - 1388*q**3/39 - 8*q**2 + 509. Suppose n(s) = 0. Calculate s.
-4, -2/5, -1/4, 0, 13
Let h(z) be the first derivative of -z**3/15 + 11*z**2/10 + 56. Factor h(u).
-u*(u - 11)/5
Let t(x) = 6*x. Let u(h) = 2*h**2 + 2*h**2 - 6*h**2 + h**3 + 6*h + h**2. Let d(z) = -4*t(z) + 3*u(z). Solve d(g) = 0.
-1, 0, 2
Let n(v) be the second derivative of v**5/100 - 19*v**4/30 + 66*v**3/5 - 324*v**2/5 + 223*v. Determine j so that n(j) = 0.
2, 18
Let r be (-513)/(-108) + 2/8. Suppose -r*s - 3*s + 0*s = 0. Factor 2/9*a**3 + s - 2/9*a + 2/9*a**2 - 2/9*a**4.
-2*a*(a - 1)**2*(a + 1)/9
Let t(r) be the third derivative of r**6/30 + 3*r**5/5 - 5*r**4/3 + 97*r**2. Factor t(g).
4*g*(g - 1)*(g + 10)
Let u = 47557/20 + -9505/4. Determine c, given that 2/5*c**3 + 0 - 2*c - u*c**2 = 0.
-1, 0, 5
Let x be 2*1 - (-3 + 8). Let z be (13/4 - 2) + x/(-3). Factor -z*w**3 - 1/2 + 4*w**2 - 5/4*w.
-(w - 1)**2*(9*w + 2)/4
Let i(n) be the first derivative of 11*n**4/8 - 49*n**3/3 + 64*n**2 - 80*n - 321. Factor i(z).
(z - 4)**2*(11*z - 10)/2
Let n(x) be the second derivative of -x**10/10080 - x**9/2520 - x**4/3 + 6*x. Let a(o) be the third derivative of n(o). Factor a(t).
-3*t**4*(t + 2)
Let i(l) = -2*l**4 + 24*l**3 - 30*l**2 + 4*l + 12. Let m(o) = 3*o**4 - 24*o**3 + 31*o**2 - 5*o - 15. Let c(q) = 5*i(q) + 4*m(q). Find k, given that c(k) = 0.
-13, 0, 1
Let n(k) = -1 + 18*k + 1 - k**2 - 6*k + 2. Let u be n(12). Factor o**u + 2*o**2 + 4*o + 2*o**2 - 3*o**2.
2*o*(o + 2)
Suppose 3*g - 30 = -2*g. Solve -6*u**4 + 4*u**4 + g - u**4 + u**4 - 10*u + 12*u**3 - 2*u**5 - 4*u**2 = 0.
-3, -1, 1
Let i(m) be the second derivative of m**6/60 - 37*m**5/40 + 39*m**4/2 - 180*m**3 + 432*m**2 + 90*m. Factor i(w).
(w - 12)**3*(w - 1)/2
Let d be 1 - 1 - (-4)/4. Let y = 3 - d. Solve h**2 - 2*h + 6*h - 2*h - y*h**2 = 0.
0, 2
Suppose -2 - 9/2*m - 3/2*m**2 + 3/2*m**4 + 5/2*m**3 = 0. Calculate m.
-1, 4/3
Suppose 4*c - 2*v + 5 - 13 = 0, 2*c - 2*v = 8. Let x(d) be the second derivative of -3*d**2 - 7/6*d**4 - 4*d - 17/6*d**3 + c - 3/20*d**5. Factor x(r).
-(r + 1)*(r + 3)*(3*r + 2)
Let a(f) = 25*f**3 - 1490*f**2 - 3335*f - 1645. Let r(m) = 2*m**3 - 124*m**2 - 278*m - 137. Let t(n) = -3*a(n) + 35*r(n). Factor t(o).
-5*(o - 28)*(o + 1)**2
Let o(q) be the second derivative of -q**4/90 + 16*q**3/45 - 129*q. Factor o(j).
-2*j*(j - 16)/15
Solve -16/3*f - 4/3*f**4 + 4*f**3 + 0*f**2 + 0 = 0 for f.
-1, 0, 2
Suppose -33 = -12*h + h. Suppose -2*t - 5*l = -5, 2*t + h*t - 3*l + 3 = 0. Factor 0*s**2 + 0*s - 4/9*s**3 - 2/9*s**4 + t.
-2*s**3*(s + 2)/9
Let o = 13070 - 13070. Let 2/3*n**2 + 4*n - 2/3*n**3 + o = 0. What is n?
-2, 0, 3
Let n(f) = 8*f**4 - 12*f**2 - 12*f - 4. Let p(b) = b**4 - b**3 + b**2 + b - 1. Let h(x) = -n(x) + 4*p(x). Factor h(r).
-4*r*(r - 2)*(r + 1)*(r + 2)
Suppose -5*o - 9 = -8*o. Let f(t) be the second derivative of -t - 2*t**2 - 1/6*t**4 + 0 + t**o. Suppose f(b) = 0. What is b?
1, 2
Let g = 34 - 32. Factor 3*r**g - 7 - 20*r + 1 + 17*r.
3*(r - 2)*(r + 1)
Let m = -34088 - -68711/2. Suppose m*z**3 - 2775/2*z**2 - 625 - 35/2*z**4 + 5125/2*z = 0. What is z?
2/7, 5
Let y(s) be the second derivative of s**5/20 + s**4/2 - 7*s**3/6 + 5*s - 1. Factor y(b).
b*(b - 1)*(b + 7)
Let n(h) be the third derivative of 3*h**6/8 - 7*h**5/2 + 245*h**4/24 + 5*h**2 + 5. What is f in n(f) = 0?
0, 7/3
Let c = -41/10 + 28/5. Find i such that -7/4*i + c*i**2 - 2*i**4 + 3/4*i**5 + i**3 + 1/2 = 0.
-1, 2/3, 1
Let c be -8 - (22 - (-3 - -27))*22/4. Factor 0 - 8/5*o + 12/5*o**2 + 1/5*o**4 - 6/5*o**c.
o*(o - 2)**3/5
Let u be 20/(-5) + ((-5208)/(-1323) - 12/(-42)). Factor 8/9*s**3 - 8/9*s + u*s**2 + 0 - 2/9*s**4.
-2*s*(s - 4)*(s - 1)*(s + 1)/9
Find t such that 0*t + 4/3*t**2 + 0*t**3 - 4/3*t**4 + 0 = 0.
-1, 0, 1
Let s(z) be the third derivative of -z**5/90 - 21*z**4/4 - 188*z**3/9 + 210*z**2 + z. Determine l so that s(l) = 0.
-188, -1
Let h(u) = 5*u**4 + 11*u**3 + 7*u**2 - 5*u - 3. Let c(y) = 29*y**4 + 65*y**3 + 41*y**2 - 31*y - 19. Let p(i) = 6*c(i) - 34*h(i). Factor p(w).
4*(w - 1)*(w + 1)**2*(w + 3)
Suppose m = -3*m - 4*m. Let q(o) be the first derivative of 1/14*o**4 + 0*o**3 + m*o + 1 + 0*o**2. Factor q(w).
2*w**3/7
Let l(q) = -3*q**2 + 4*q + 7. Suppose -5*i + 19 = 14. Let f be (12/(-10))/(i/5). Let m(d) = 4*d**2 - 4*d - 8. Let y(w) = f*l(w) - 5*m(w). Factor y(s).
-2*(s + 1)**2
Let j(b) be the second derivative of -b**5/30 + 17*b**4/54 - 28*b**3/27 + 4*b**2/3 - 131*b. Factor j(c).
-2*(c - 3)*(c - 2)*(3*c - 2)/9
Solve 26*i**2 - 32 + 3*i**2 - 37*i**3 + 188*i**5 + 4*i**4 - i**4 - 187*i**5 + 0*i**4 + 36*i = 0.
-8, -1, 1, 4
Suppose 6*s - 5*v - 20 = s, 5*s - 2 = -4*v. Factor -27*d**2 - 165*d**3 - 22*d**2 - 100*d**4 - 20*d - 20*d**5 - 13*d**2 - 38*d**s.
-5*d*(d + 2)**2*(2*d + 1)**2
Let y(l) be the first derivative of 2/65*l**5 - 12 - 2/13*l**3 + 0*l + 1/13*l**4 + 0*l**2. Solve y(m) = 0 for m.
-3, 0, 1
Let t(h) be the first derivative of -2*h**3/3 + 27*h**2/4 - 35*h/2 - 524. Factor t(k).
-(k - 5)*(4*k - 7)/2
Let d(g) be the second derivative of -g**4/60 - 11*g**3/15 - 121*g**2/10 + 8*g - 4. Determine n so that d(n) = 0.
-11
Determine q, given that 4*q**4 + 13*q**2 + 8 + 24*q**3 - 8 + 7*q**2 = 0.
-5, -1, 0
Let m be (136/(-196))/((-4)/62). Let v = m + 75/49. Determine y so that 8/7 + 8/7*y - v*y**2 - 20*y**3 = 0.
-1/2, -2/5, 2/7
Let d(v) = -8*v**3 + 346*v**2 - 20186*v + 390224. Let m(l) = 3*l**3 + l**2 + l. Let a(u) = 2*d(u) + 4*m(u). Factor a(p).
-4*(p - 58)**3
Let x(w) = 2*w**4 - 16*w**3 - 74*w**2 - 76*w - 32. Let z(q) = 3*q**4 - 15*q**3 - 76*q**2 - 75*q - 32. Let i(d) = 5*x(d) - 4*z(d). Find m such that i(m) = 0.
-4, -1
Let d(g) be the third derivative of -g**11/16632 + g**10/12600 + g**9/7560 - g**5/20 - g**2. Let u(s) be the third derivative of d(s). Factor u(i).
-4*i**3*(i - 1)*(5*i + 2)
Suppose -3*c**2 - 20*c**3 - 2*c**3 + c**3 + 0*c**3 = 0. What is c?
-1/7, 0
Let i be 214/8*24/6. Suppose 4*j - i = 21. Factor 0 + 4 - j*u - 4*u**4 + 24*u**2 + 8.
-4*(u - 1)**3*(u + 3)
Suppose 8/9*m + 8/3 - 10/9*m**2 = 0. What is m?
-6/5, 2
Let v be (62/7 - 7) + 2/14. Factor -r**2 - 2*r**2 - r**3 - 75 + r + 6*r**v + 72.
-(r - 3)*(r - 1)*(r + 1)
Let u = 6/601 - -1779/2404. Factor 0*n**2 + 9/4*n - 3/2 - u*n**3.
-3*(n - 1)**2*(n + 2)/4
Let y(k) = 2*k**3 + k**2 + k - 2. Let d be y(1). Factor 5*z**3 - 3*z**3 + 12*z**d + 3*z + 11*z - 2*z**2 + 6.
2*(z + 1)**2*(z + 3)
Let n(b) = b**4 - 82*b**3 - 151*b**2 - 48*b + 20. Let j(p) = -2*p**4 - 2*p**3 + p**2 + p. Let q(w) = -4*j(w) + n(w). What is h in q(h) = 0?
-1, 2/9, 10
Let o(h) be the second derivative of -h**6/15 + 11*h**5/5 - 6*h + 3. Determine s, given that o(s) = 0.
0, 22
Let r(k) be the third derivative of -2/27*k**3 + 5/108*k**4 + 2*k**2 + 1/540*k**6 + 0 + 0*k - 2/135*k**5. Let r(z) = 0. What is z?
1, 2
Let o(m) be the third derivative of 3/28*m**4 + 0 + 7*m**2 + 4/105*m**6 + 0*m + 1/21*m**3 + 4/35*m**5. What is b in o(b)