- 4*m**2/9 + 87. Factor g(o).
-4*o*(o + 2)/9
Determine i, given that 0 + 0*i**2 + 4*i**3 - 1/4*i**4 + 0*i = 0.
0, 16
Solve -16/15 + 202/15*m**2 - 2*m**4 - 64/15*m**3 - 92/15*m = 0 for m.
-4, -2/15, 1
Let h(y) = -8*y**3 - 6*y**2 + 2*y - 2. Let c(j) = 179*j**2 - 331*j**2 + 5 - 5*j + 15*j**3 + 164*j**2. Let s(r) = -2*c(r) - 5*h(r). Factor s(v).
2*v**2*(5*v + 3)
Solve 22/9*o**3 - 4/3*o**4 + 0 - 2/9*o**5 - 200/9*o + 40/3*o**2 = 0.
-5, 0, 2
Factor -f**2 + 13*f + 6*f + 4*f**2 - f.
3*f*(f + 6)
Let j(q) be the third derivative of q**6/80 - 33*q**5/40 + 21*q**4 - 245*q**3 - 6*q**2 + 4*q. Let j(p) = 0. What is p?
5, 14
Let m(o) be the third derivative of -o**5/120 - 85*o**4/48 - 7*o**3 + 246*o**2. Find k, given that m(k) = 0.
-84, -1
Let g(w) be the second derivative of 1/15*w**3 - 1/2*w**2 + 2/15*w**4 + 0 + 2*w + 8/75*w**5. Let c(i) be the first derivative of g(i). Factor c(s).
2*(4*s + 1)**2/5
Let t(l) be the second derivative of -l**5/60 - 11*l**4/12 - 85*l**3/6 + 289*l**2/6 - 109*l. Factor t(f).
-(f - 1)*(f + 17)**2/3
Let b(x) be the first derivative of -3*x**4/20 - 22*x**3/5 + 69*x**2/10 + 724. What is f in b(f) = 0?
-23, 0, 1
Solve 28/5*y**3 + 128/5 + 14/5*y**4 - 2/5*y**5 - 88/5*y**2 - 16*y = 0 for y.
-2, 1, 2, 8
Let n(i) be the first derivative of 2*i**3/9 - 2*i/3 + 286. Let n(a) = 0. What is a?
-1, 1
Let k(u) be the first derivative of -u**4/2 + 52*u**3 - 2028*u**2 + 35152*u - 77. Find i, given that k(i) = 0.
26
Let i(f) = -4*f**4 - 9*f**3 + 17*f**2 + 10*f + 3. Let p(x) = -4*x**4 - 8*x**3 + 16*x**2 + 12*x + 4. Let s(o) = -4*i(o) + 5*p(o). Factor s(w).
-4*(w - 2)*(w + 1)**3
Let k(n) be the second derivative of -5/2*n**3 + 12*n - 5/2*n**2 - 5/4*n**4 - 1/4*n**5 + 0. Factor k(m).
-5*(m + 1)**3
Factor -2*m**2 + 22 + 54*m + 113 - 18*m - m**2.
-3*(m - 15)*(m + 3)
Let s(w) be the third derivative of -11*w**8/20160 + w**7/2520 + 2*w**5/5 - 23*w**2. Let x(d) be the third derivative of s(d). Suppose x(b) = 0. What is b?
0, 2/11
Suppose 3*k - 4*k = -2. Suppose -k*s = s. Factor -g**4 + 3*g**4 - 4*g - 4*g**3 + s - g**4 + 1 + 6*g**2.
(g - 1)**4
Let p = 25 - 23. Factor -12*l - 5*l**2 + 4*l**2 - 3*l**p.
-4*l*(l + 3)
Let v(c) be the third derivative of -c**6/2160 - c**5/60 - c**4/4 - 11*c**3/6 - 30*c**2. Let x(m) be the first derivative of v(m). Let x(d) = 0. What is d?
-6
Suppose 3*a - 4*b - 779 = 0, -2*a + 4*a - 546 = -4*b. Find z, given that -288*z**4 + 2*z**2 + 1 - 16*z**5 - a*z**3 + 52*z - 65*z**5 - 9 = 0.
-2, -1, 2/9
Let g(x) = -x - 6. Let y be g(-10). Factor -395 - 4*t**3 - y*t - 8*t**2 + 395.
-4*t*(t + 1)**2
Factor -81*c**2 - 65*c + 20*c**2 + 17*c**2 + 19*c**2 + 20*c**2 + 70.
-5*(c - 1)*(c + 14)
Factor 3*o + 3/5*o**2 - 42/5.
3*(o - 2)*(o + 7)/5
Factor -3/5*z - 3/5*z**5 - 6/5*z**2 + 3/5 + 3/5*z**4 + 6/5*z**3.
-3*(z - 1)**3*(z + 1)**2/5
Let y be 26/65 - (-116)/(-40) - -5. Find h such that 23/2*h**2 + 1 + 13/2*h + 11/2*h**3 - 2*h**5 - y*h**4 = 0.
-1, -1/4, 2
Let k(x) be the second derivative of x**5/120 + 11*x**4/4 + 363*x**3 + 23958*x**2 + 93*x + 2. Factor k(i).
(i + 66)**3/6
Solve 2/11*k**3 + 4/11*k**2 - 2/11*k - 4/11 = 0.
-2, -1, 1
Let i(s) = 3*s**2 - 3*s - 3. Let x be i(-1). Solve 0*p**3 - 3*p**3 - 10*p**2 + 8*p**x = 0 for p.
0, 2
Let k(s) be the third derivative of 0*s**4 + 0*s**5 + 7*s**2 + 1/360*s**6 + 0*s + 0*s**3 - 1/630*s**7 + 0. Solve k(w) = 0.
0, 1
Let l(j) = -j**2 + 370*j - 11163. Let g(v) = -2*v**2 + 1112*v - 33489. Let k(b) = -2*g(b) + 7*l(b). Solve k(u) = 0 for u.
61
Let g = 151 + -151. Let y(k) be the third derivative of 5/12*k**4 - k**2 + 1/60*k**6 - 2/15*k**5 + g + 0*k - 2/3*k**3. Let y(z) = 0. What is z?
1, 2
Let h(c) be the first derivative of 7*c**6/3 - 134*c**5/5 + 61*c**4/2 + 306*c**3 + 432*c**2 + 216*c + 351. Determine o, given that h(o) = 0.
-1, -3/7, 6
Let m(n) be the first derivative of -14*n**5/85 + 6*n**4/17 - 2*n**3/17 - 2*n**2/17 + 430. Factor m(u).
-2*u*(u - 1)**2*(7*u + 2)/17
Suppose -6*q = q - 5600. Suppose 178 = 2*t - q. Factor 4*r**5 - t*r + 489*r.
4*r**5
Factor -4/5*l**3 + 76/5*l + 0 - 72/5*l**2.
-4*l*(l - 1)*(l + 19)/5
Factor 140/11*a**3 - 24334/11 + 27508/11*a - 2/11*a**4 - 3312/11*a**2.
-2*(a - 23)**3*(a - 1)/11
Let p be -18 + (12 - (2 + -8)). Solve -4/11*j + 2/11*j**2 + p = 0 for j.
0, 2
Let c(l) be the second derivative of -l**6/300 + l**4/60 - 14*l**2 + 13*l. Let s(j) be the first derivative of c(j). Find m, given that s(m) = 0.
-1, 0, 1
Let k(c) = 5*c**3 - 16*c**2 - 29*c - 17. Let v(s) = -11*s**3 + 34*s**2 + 59*s + 35. Let n(o) = 7*k(o) + 3*v(o). Factor n(d).
2*(d - 7)*(d + 1)**2
Factor -127*v**3 - 91*v**2 - 7*v**3 - 3*v**4 + 82*v**2 - 129*v**2 - 7*v**3.
-3*v**2*(v + 1)*(v + 46)
Let v(f) be the third derivative of f**8/336 + f**7/210 - f**6/40 - f**5/60 + f**4/12 - f**2 + 4. Factor v(z).
z*(z - 1)**2*(z + 1)*(z + 2)
Let p(q) be the third derivative of -q**7/5460 + q**6/2340 + q**5/390 + 29*q**3/6 - 10*q**2. Let s(d) be the first derivative of p(d). Factor s(h).
-2*h*(h - 2)*(h + 1)/13
Let s be (-1)/(7/(-2)) + 320/(-728). Let q = s + 43/26. Solve 0 + 0*n - q*n**2 = 0 for n.
0
What is b in 4/5*b**4 + 0 - 112/5*b + 128/5*b**2 - 44/5*b**3 = 0?
0, 2, 7
Let h(a) be the second derivative of a**5/60 - 17*a**4/72 + 7*a**3/36 + 2*a**2/3 - 503*a. What is k in h(k) = 0?
-1/2, 1, 8
Suppose 21*f = 141 - 15. Let n(v) be the first derivative of 12/5*v**5 + 0*v + 4*v**3 + 1/2*v**f + 3/2*v**2 + 9/2*v**4 - 2. Factor n(z).
3*z*(z + 1)**4
Let w(v) be the first derivative of 2*v**6 - 32*v**5/5 - 20*v**4 + 280*v**3/3 - 126*v**2 + 72*v + 25. Solve w(j) = 0 for j.
-3, 2/3, 1, 3
Let y(k) be the third derivative of -k**6/8 - 61*k**5/3 + 275*k**4/8 + 205*k**3/3 - k**2 + 10*k. Factor y(j).
-5*(j - 1)*(j + 82)*(3*j + 1)
Let w(q) be the third derivative of -q**6/1260 - q**5/315 + 5*q**4/252 + 2*q**3/21 - 42*q**2. Factor w(h).
-2*(h - 2)*(h + 1)*(h + 3)/21
Let g(u) be the first derivative of 0*u + 14/45*u**3 - 1/10*u**4 - 2/15*u**2 + 7. Factor g(n).
-2*n*(n - 2)*(3*n - 1)/15
Let k(w) be the second derivative of w**4/24 + 5*w**3/6 - 11*w**2/4 - 4*w + 1. Determine c so that k(c) = 0.
-11, 1
Let t(g) be the second derivative of -g**6/240 - g**5/40 + g**3/3 - 3*g**2/2 - g. Let q(a) be the first derivative of t(a). Factor q(n).
-(n - 1)*(n + 2)**2/2
Let d(v) = v**3 + 2*v**2 + 4*v + 6. Let m be d(-2). Let g be (33/(-22))/(-1 - (m + 4)). Factor -g*h**3 - 3/2 + 3/2*h**2 + 1/2*h.
-(h - 3)*(h - 1)*(h + 1)/2
Let x(h) be the second derivative of h**4/2 - 11*h**3/6 + 12*h**2 + 9*h. Let t(g) = 3*g**2 - 6*g + 12. Let z(m) = -13*t(m) + 6*x(m). Factor z(w).
-3*(w - 2)**2
Let q(g) be the first derivative of -4*g**5/15 + 23*g**4/12 + 10*g**3/9 - 23*g**2/6 - 2*g - 888. Suppose q(p) = 0. What is p?
-1, -1/4, 1, 6
Let p(l) = 6*l**5 - 22*l**4 - 9*l**3 + 2*l**2 + 8*l + 5. Let g(i) = 7*i**5 - 26*i**4 - 10*i**3 + 2*i**2 + 9*i + 6. Let v(h) = -5*g(h) + 6*p(h). Factor v(t).
t*(t - 3)*(t - 1)*(t + 1)**2
Let v be ((-4)/32)/((-60)/96). Let n be -1*(-2 + 1) - -1. Determine x so that v - 1/5*x**3 - 3/5*x + 3/5*x**n = 0.
1
Let i be (-5 - 405/(-75)) + 8/5. Factor 10 - 5/2*y**i - 5*y + 5/4*y**3.
5*(y - 2)**2*(y + 2)/4
Let 8*g - 64/5 - 4/5*g**2 = 0. What is g?
2, 8
Let d = 12 - 8. Suppose -2*l - 2 = -d*u, -u = l - 3 - 2. Factor -20*m**l + 4*m**4 + 3*m**2 + 14*m**3 - m**4.
3*m**2*(m - 1)**2
Let q(f) be the first derivative of f**5/510 + 2*f**4/51 + 16*f**3/51 - 25*f**2/2 - 25. Let x(v) be the second derivative of q(v). Factor x(n).
2*(n + 4)**2/17
Let r(w) be the second derivative of -w**5/50 + 11*w**4/10 + 34*w**3/15 - 212*w. Determine f, given that r(f) = 0.
-1, 0, 34
Let l(g) = -g**3 + 11*g**2 - 18*g. Let b(j) = -2*j**3 + 12*j**2 - 16*j. Let t(d) = 4*b(d) - 3*l(d). Suppose t(o) = 0. Calculate o.
0, 1, 2
Suppose -21*v + 9*v + 64 = 4*v. Let -2/3*g**2 + 2/3*g**v + 0*g**3 + 0*g + 0 = 0. Calculate g.
-1, 0, 1
Factor -2*y**2 - 76*y**3 + 0*y**2 - 52*y**5 + 16*y**5 - 145*y**4 + 13*y**4 - 10*y**2.
-4*y**2*(y + 3)*(3*y + 1)**2
Let r(y) be the third derivative of -y**5/120 - 47*y**4/12 - 2209*y**3/3 + 25*y**2. Factor r(u).
-(u + 94)**2/2
Let n be (-1)/4 - (21/(-8) - -2). Let b(h) be the first derivative of 3/4*h**2 - 4 + h**3 + n*h**4 + 0*h. Factor b(y).
3*y*(y + 1)**2/2
Let f(p) = -28*p**3 + 2*p + 1. Suppose -n + 2 = -3*n. Let h be f(n). Factor -h*a**4 - 27*a**5 + 18*a**3 + 0*a + 28*a*