 of 0*m - 3/2*m**4 + 2*m**3 + 2/5*m**s - 2 - m**2. Factor a(g).
2*g*(g - 1)**3
What is d in 81/2 + 399/4*d - 15/4*d**2 = 0?
-2/5, 27
Suppose 168 = 9*g - 15*g. Let n(i) = i**2 + 1. Let c(f) = -12*f**2 + 4*f - 12. Let z(v) = g*n(v) - 2*c(v). Suppose z(b) = 0. What is b?
-1
Let v be (132/42 - 2)*(-15)/(-36). Let n(y) be the first derivative of 8/7*y**2 + v*y**3 + 8/7*y + 1/14*y**4 - 5. Find m, given that n(m) = 0.
-2, -1
Suppose 6*x = 36 + 138. Suppose x = -5*o + 44. Solve 0*s + 0 - 2/3*s**2 - 1/3*s**4 + s**o = 0 for s.
0, 1, 2
Let a(h) = 2*h**4 - 5*h**3 - 13*h**2 - 5*h - 5. Let n(s) = -s**4 + 2*s**3 + 6*s**2 + 2*s + 2. Let v(l) = -4*a(l) - 10*n(l). Factor v(u).
2*u**2*(u - 2)*(u + 2)
Let c(h) = 3*h + 68. Let f be c(-16). Determine j so that -f + 1181*j**3 - 56*j - 9*j**2 - 1186*j**3 + 16*j - 16*j**2 = 0.
-2, -1
Let m(z) = 124*z - 124. Let o be m(1). Factor 0*v**2 + 0*v + 2/7*v**3 + o + 4/7*v**4 + 2/7*v**5.
2*v**3*(v + 1)**2/7
Factor 0 + 7/2*n**2 - 2*n - n**3 - 1/2*n**4.
-n*(n - 1)**2*(n + 4)/2
Let i(w) be the first derivative of -w**5/90 + w**4/36 + 3*w**2/2 - 3. Let u(o) be the second derivative of i(o). Factor u(x).
-2*x*(x - 1)/3
Let c = -315833/60 - -5264. Let s(z) be the third derivative of -7*z**2 - 4/21*z**3 + 0 + 0*z - c*z**6 - 11/30*z**5 - 8/21*z**4. Let s(j) = 0. What is j?
-1, -2/7
Let x be (-1)/2*(-42 - -12). Let r = x - 10. Factor -r*h**4 + 4*h - 5*h + h - 5*h**3.
-5*h**3*(h + 1)
Let h be 2/(-1) - (-9 - -2). Suppose 4*u + 9 = h*u. Solve -3*j**3 - u*j**2 - 4*j + 18*j**3 - 2*j = 0.
-2/5, 0, 1
Let y(m) = m**3 - 2*m**2 + 3*m - 3. Let i be y(2). Let l(g) = g**2 + 2*g + 2. Let z be l(-2). Factor 2/3*f**i - z - 2/3*f**2 - 10/3*f.
2*(f - 3)*(f + 1)**2/3
Solve -12*z - 1/4*z**3 + 16 + 3*z**2 = 0.
4
Let m(c) be the first derivative of -c**6/27 + 4*c**5/15 - 7*c**4/18 - 4*c**3/3 + 44*c**2/9 - 16*c/3 + 256. Solve m(l) = 0 for l.
-2, 1, 2, 3
Let y(k) be the third derivative of 0*k**3 + 0 + 27*k**2 + 0*k - 1/42*k**4 - 1/210*k**5. Solve y(t) = 0 for t.
-2, 0
Suppose 0 = s - 3*a, 67*a = -s + 65*a + 20. Factor 3/7*q**5 - 24/7*q**4 + 66/7*q**3 + 51/7*q - 12/7 - s*q**2.
3*(q - 4)*(q - 1)**4/7
Let n be (11/(-6))/((-3355)/915). Factor n*y - 1/4*y**2 + 3/4.
-(y - 3)*(y + 1)/4
Let m(b) = -4*b**5 - 5*b**4 + 3*b**3 + 9*b**2 - 5. Let q(v) = v**5 + 2*v**4 + v**3 - v**2 + 1. Let j(h) = m(h) + 5*q(h). Factor j(n).
n**2*(n + 1)*(n + 2)**2
Let y(g) be the third derivative of 13*g**2 + 1/3*g**5 - 5*g**3 + 1 + 5/24*g**4 + 0*g + 1/24*g**6. Solve y(j) = 0 for j.
-3, -2, 1
Let f be (12/2 + -7)*(-2 + 0). Let o(c) be the first derivative of 12/5*c**f + 8/5*c - 7/10*c**4 + 1 - 6/5*c**3. Determine z so that o(z) = 0.
-2, -2/7, 1
Let z(v) be the second derivative of -2/25*v**5 + 15*v - 2/5*v**2 + 4/105*v**7 + 0*v**3 - 2/25*v**6 + 0 + 4/15*v**4. Solve z(p) = 0.
-1, -1/2, 1
Factor -1/2*c**2 + 1/2*c**4 - 5*c + 5*c**3 + 0.
c*(c - 1)*(c + 1)*(c + 10)/2
Let f(w) be the second derivative of 15*w**4/4 + 5*w**3/6 - 2*w - 1. Find g such that f(g) = 0.
-1/9, 0
Let z(v) be the first derivative of v**4/16 + v**3/6 - 184. Solve z(q) = 0.
-2, 0
Factor -44*u**2 + 436*u - 15*u**3 + 98 - 457*u - u**4 - 17*u**2.
-(u - 1)*(u + 2)*(u + 7)**2
Let c(a) be the third derivative of -a**8/1176 + 2*a**7/245 + a**6/420 - a**5/35 - 22*a**2 + 2*a. Let c(f) = 0. What is f?
-1, 0, 1, 6
Let r be (4/(-3))/((-8)/12 + 0). Factor 25*f**3 - 50*f**3 + 4*f + f - 5*f**r - 15*f**4.
-5*f*(f + 1)**2*(3*f - 1)
Let q(g) = 2*g**3 - 32*g**2 - 38*g + 16. Let y(v) = -v + 4. Let z(t) = q(t) - 4*y(t). Determine f, given that z(f) = 0.
-1, 0, 17
Solve -3/8*b**3 + 3/8*b**2 + 0 + 3/4*b = 0 for b.
-1, 0, 2
Let k be 168/(-35)*20/(-6). Factor -4*y**4 - 5*y**3 + 2*y**5 - 3*y + 11*y**3 - 12*y**3 + k*y**2 - 5*y.
2*y*(y - 2)*(y - 1)**2*(y + 2)
Let k(m) be the third derivative of -m**5/40 + 65*m**4/16 - m**2 + 7*m. Factor k(d).
-3*d*(d - 65)/2
Let v = 122/5 - 121/5. Let b(a) be the first derivative of 2*a**3 - a**4 + a + v*a**5 - 2*a**2 + 1. Factor b(g).
(g - 1)**4
Let i(s) be the first derivative of s**6/1020 - s**5/102 + s**4/51 - 3*s**2 + 12. Let n(r) be the second derivative of i(r). Find t such that n(t) = 0.
0, 1, 4
Let y(u) be the first derivative of 2*u**5/15 - 7*u**4/6 - 14*u**3/9 + 43*u**2/3 + 28*u + 472. Suppose y(i) = 0. What is i?
-2, -1, 3, 7
Let j(l) be the third derivative of 0*l**3 + 0*l + 0*l**6 + 1/270*l**5 + 0 - 1/945*l**7 + 0*l**4 - 39*l**2. Factor j(k).
-2*k**2*(k - 1)*(k + 1)/9
Let b(k) be the third derivative of k**8/5600 - k**6/150 + 9*k**4/8 + 22*k**2. Let o(q) be the second derivative of b(q). Factor o(g).
6*g*(g - 2)*(g + 2)/5
Let m be (0 - (-2 - -1))*6. Suppose 2*u - 20 = -4*i, -u + m*i = 2*i + 14. Factor -7*b**3 + 6*b**u + 5*b + 5 + 2*b**3 - 11*b**2.
-5*(b - 1)*(b + 1)**2
Let q be (4/358)/(58/(-87)). Let t = 170/537 - q. Solve -3 - t*h**2 - 2*h = 0 for h.
-3
Let c(w) be the second derivative of w**7/168 - w**6/15 + w**5/20 + 13*w**4/24 - 37*w**3/24 + 7*w**2/4 + 175*w + 4. Let c(j) = 0. Calculate j.
-2, 1, 7
Let -2*s**2 - 24*s + 14 - s**2 + 11 + 2*s**2 = 0. Calculate s.
-25, 1
Let g = 34110/7 - 4872. Factor -g*a**3 - 2/7*a**2 - 8/7 + 16/7*a.
-2*(a - 1)*(a + 2)*(3*a - 2)/7
Factor 17*y**3 + 7*y**4 + 20*y**3 - 43*y**3 - 8*y**4.
-y**3*(y + 6)
Let f(z) be the first derivative of -3*z**4/28 - 4*z**3/7 + 3*z**2/14 + 12*z/7 + 83. Determine w so that f(w) = 0.
-4, -1, 1
Let z = 842/45 + -166/9. Let n(r) be the third derivative of -13/25*r**5 + 0 - 1/30*r**4 + 54/175*r**7 + 0*r + 6*r**2 + z*r**3 + 3/10*r**6. Solve n(y) = 0.
-1, -2/9, 1/3
Let n(u) be the first derivative of -5*u + 0*u**2 + 6 - 1/27*u**3 - 1/27*u**4 - 1/90*u**5. Let s(v) be the first derivative of n(v). Factor s(c).
-2*c*(c + 1)**2/9
Let q(f) = -2*f**2 + 12*f - 23. Let a(t) = -t**2 + 6*t - 11. Let i be (-12)/30*(-1 + -4). Let d(w) = i*q(w) - 5*a(w). Factor d(c).
(c - 3)**2
Let p(t) be the third derivative of 0*t**3 + 9/5*t**5 - 9/2*t**4 + 2/105*t**7 + 0*t - 40*t**2 - 3/10*t**6 + 0. Factor p(g).
4*g*(g - 3)**3
Factor 3*b**3 + b**3 + 3*b**2 - 4*b**2 - 3*b**3 - 2*b.
b*(b - 2)*(b + 1)
Suppose 0 = 2*o + 4*g - 5 + 59, 5*o + 200 = 3*g. Let f = -35 - o. Factor 0 + 2/9*p**3 + f*p + 4/3*p**2.
2*p*(p + 3)**2/9
Let z(c) = c. Let m(j) = j**2 + 2*j - 8. Let w(o) = m(o) + 5*z(o). Factor w(b).
(b - 1)*(b + 8)
Suppose 169 + 139 = 152*p + 4. Solve -12/5*j**p + 3/5*j**3 + 0 + 0*j = 0.
0, 4
Let c(y) be the first derivative of -y**8/840 - y**7/210 + y**5/30 + y**4/12 - 14*y**3/3 + 12. Let s(z) be the third derivative of c(z). Factor s(l).
-2*(l - 1)*(l + 1)**3
Let m(y) be the third derivative of -y**8/336 + y**7/70 + 3*y**6/40 - 23*y**5/60 - y**4 + 6*y**3 - 160*y**2. Factor m(p).
-(p - 3)**2*(p - 1)*(p + 2)**2
Let m(g) be the second derivative of -3/100*g**5 - 25*g + 3/2*g**2 + 0 + 9/10*g**3 + 3/20*g**4. Factor m(i).
-3*(i - 5)*(i + 1)**2/5
Let h(b) be the third derivative of -b**5/90 + 4*b**4/9 - 28*b**3/9 + 687*b**2. Factor h(s).
-2*(s - 14)*(s - 2)/3
What is i in 0*i**2 + 0 + 5/3*i**4 - 1280/3*i + 20*i**3 = 0?
-8, 0, 4
What is y in -2*y**2 - 728*y + 629*y + 5*y**2 - 3*y**2 - 3*y**2 + 210 = 0?
-35, 2
Suppose 2*g = -3*g - 2*z + 22, -3*g - 2*z + 14 = 0. Suppose -c - 1 = -g. Factor -6*r**c + 0*r**2 + 2*r**4 + 2*r**2 - r**4 + 3*r**4.
2*r**2*(r - 1)*(2*r - 1)
Let h = 131256/73 - 1798. Let a = h - -274/657. Determine d, given that -4/9 + a*d**2 + 2/9*d - 2/9*d**3 = 0.
-1, 1, 2
Suppose -287 = -6*j + 3*j - 2*v, -j = 3*v - 105. Let x = 375/4 - j. Let -1/2 - x*m + 1/4*m**3 + 0*m**2 = 0. Calculate m.
-1, 2
Factor 4*c - 8*c**2 + 15*c**3 + 20*c**3 - 31*c**3.
4*c*(c - 1)**2
Let v(y) = 583*y**3 - 584*y**3 + 8 + y - 8. Let s(r) = -7*r**3 - 2*r**2 + 9*r. Let i(d) = s(d) - 6*v(d). Suppose i(q) = 0. Calculate q.
-3, 0, 1
Let p(b) = -b**2 - 22*b + 27. Let c(l) = 2*l**2 + 9*l - 1. Let u be c(-4). Let m(z) = -2*z**2 - 23*z + 27. Let y(n) = u*p(n) + 4*m(n). Solve y(i) = 0 for i.
3
Find w, given that -9*w**3 - 184*w**2 + 15*w**4 + 405*w**2 + 6*w - 3*w**5 + 6*w - 236*w**2 = 0.
-1, 0, 1, 4
Let n(g) be the third derivative of 0*g**7 + 24*g**2 - 1/6*g**4 - 1/15*g**6 + 0 + 0*g**3 + 8/45*g**5 - 2*g + 1/252*g**8. Suppose n(j) = 0. Calculate j.
-3, 0, 1
Factor -32*f**5 - 31*f**3 + 27*f**5 - 214*f**3 + 70*f**4.
-5*f**3*(f - 7)**2
Let u(z) be the first derivative of -5*z**3/3 + 145*z**2 - 4205*z - 46