-2)/6. Let h(i) = y*p(i) - 5*g(i). Factor h(w).
-5*w*(w - 1)**2
Suppose 3*r - 18 = 2*j, 5*r + 404 - 434 = 2*j. Find f such that j*f**2 + f - 1/3*f**3 + 2/3 = 0.
-1, 2
Factor -52/5*w**2 - 576/5 - 384/5*w - 2/5*w**3.
-2*(w + 2)*(w + 12)**2/5
Let l(j) = j - 6. Let c be l(10). Suppose 123*b**2 - 36*b**2 + 40*b - 27*b**3 + 62*b**3 + 4*b**c - 16 = 0. What is b?
-4, -1, 1/4
Let l(j) be the first derivative of -3*j**4/16 - 3*j**3/4 + 15*j**2/4 + 15. Solve l(g) = 0 for g.
-5, 0, 2
Let g(m) be the first derivative of 3/2*m**2 + 3*m**3 - 4 - 12*m. Factor g(n).
3*(n - 1)*(3*n + 4)
Let t(u) be the first derivative of 98*u**6/3 - 1288*u**5/5 + 417*u**4 - 656*u**3/3 + 40*u**2 + 192. Solve t(f) = 0 for f.
0, 2/7, 1, 5
Let 18/7*m**3 + 40/7*m + 48/7*m**2 + 0 + 2/7*m**4 = 0. What is m?
-5, -2, 0
Let s(x) be the second derivative of -x**4/6 + 5*x**3/3 + 6*x**2 + 2*x + 15. Factor s(z).
-2*(z - 6)*(z + 1)
Let v(d) be the third derivative of 1/270*d**6 + 1/315*d**7 - 1/45*d**5 - 15*d**2 - 1/108*d**4 + 1/9*d**3 + 0*d + 0 - 1/1512*d**8. Suppose v(s) = 0. What is s?
-1, 1, 3
Let h(w) be the first derivative of 4*w**2 + 12*w - 4/3*w**3 - 3. Let h(o) = 0. What is o?
-1, 3
Suppose v - 5 = 5. Suppose 5*u - 5*q + v = 0, 3*u + 8*q - 3*q = 26. Find i such that -2*i - 10*i**u + 12*i**2 + 6*i = 0.
-2, 0
Let i(v) be the third derivative of v**8/2240 - v**7/280 - 35*v**4/24 + 24*v**2. Let s(m) be the second derivative of i(m). Factor s(u).
3*u**2*(u - 3)
Let m(r) = -r**3 - 6*r**2 + 12*r - 15. Let p be m(-8). Let v be p/10 - (-51)/(-34). Factor -v*n + 0 + 0*n**2 + 1/5*n**3.
n*(n - 1)*(n + 1)/5
Let h be (12/(-14))/((-1)/35). Let 5 - 4 + 2 + 15*b + 30*b**3 + 15*b**4 + h*b**2 + 13*b**5 - 10*b**5 = 0. Calculate b.
-1
Factor -647*c - 6*c**3 + 3*c**3 - 81 + 1305*c - 655*c + 81*c**2.
-3*(c - 27)*(c - 1)*(c + 1)
Factor 1/5*a**3 + 0 - 4/5*a**2 + 0*a.
a**2*(a - 4)/5
Factor 9*o**4 + 26/3*o**2 + 0 + 0*o - 41*o**3.
o**2*(3*o - 13)*(9*o - 2)/3
Let g = 412 - 272. Let y = g + -698/5. Factor q + 3/5*q**2 + y.
(q + 1)*(3*q + 2)/5
Let o(r) be the third derivative of 0*r + 0 + 0*r**5 - 1/24*r**4 + 48*r**2 + 0*r**3 + 1/120*r**6. Determine t, given that o(t) = 0.
-1, 0, 1
Factor 7/3 - 13/6*b - 1/6*b**2.
-(b - 1)*(b + 14)/6
Let n be (10/15)/((-4)/(-30)). Factor n*r**2 - r**2 - 3*r - 5*r.
4*r*(r - 2)
Let j be 2*(-7)/(-2947)*-1. Let v = j - -2540/2947. Suppose -v*p - 8/7*p**2 - 2/7*p**3 + 0 = 0. Calculate p.
-3, -1, 0
Let n be (-326)/(-489)*9/2. Suppose -2/7 - 1/7*s**n + 1/7*s**4 + 5/7*s - 3/7*s**2 = 0. What is s?
-2, 1
Let b be (-6)/180*-10 + (-4)/(-6). Let i(g) be the first derivative of 1/3*g**3 + b + 0*g + 1/2*g**2. Factor i(y).
y*(y + 1)
Factor -26/3*y**2 + 0*y**3 + 8*y + 2/3*y**4 + 0.
2*y*(y - 3)*(y - 1)*(y + 4)/3
Let u = -1227/2 + 614. Factor 0 + u*i**4 + 3/2*i**2 + 2*i**3 + 0*i.
i**2*(i + 1)*(i + 3)/2
Let o(f) be the third derivative of -f**8/196 + 10*f**7/147 - 23*f**6/70 + 59*f**5/105 + 4*f**4/7 - 24*f**3/7 + f**2 + 102. Find t, given that o(t) = 0.
-2/3, 1, 2, 3
Let a = -11 - -16. Factor 96*u**4 - 3*u**a + 3*u**3 - 96*u**4.
-3*u**3*(u - 1)*(u + 1)
Suppose o - 3*x + 21 = -6, 4*o + 63 = 3*x. Let z = -10 - o. Factor -3*m**4 - 6*m**3 + 24*m + 0*m**4 - 143*m**z + 12 + 152*m**2.
-3*(m - 2)*(m + 1)**2*(m + 2)
Suppose 8*q - 22*q = -350. Suppose 5*b = -1 + 11. Solve -7 + v - b*v**2 - q + 15*v = 0 for v.
4
Let j(h) be the second derivative of 0 + 9*h + 1/21*h**7 - 1/5*h**5 + 1/3*h**3 + 0*h**2 + 0*h**4 + 0*h**6. Factor j(o).
2*o*(o - 1)**2*(o + 1)**2
Let t(m) be the third derivative of -2/105*m**7 + 6*m**2 + 0*m + 1/15*m**5 + 0*m**3 + 0*m**6 + 0 - 1/12*m**4 + 1/168*m**8. Let t(v) = 0. Calculate v.
-1, 0, 1
Let f(w) be the third derivative of w**7/70 + 27*w**6/40 - 2*w**2 + 19. What is g in f(g) = 0?
-27, 0
Suppose 5*c - 2*s = 266, 5*c - 2*s - 110 = 3*c. Solve -48*w**5 + 4*w**2 - 12*w**4 - 8*w**2 + 12*w**3 + c*w**5 = 0.
0, 1
Suppose q = -2*m + 12, -5*q + 0*q = -4*m - 4. Factor x**2 + 92*x**3 + x**q + x**2 - 95*x**3.
x**2*(x - 2)*(x - 1)
Let s(p) be the second derivative of -169/18*p**2 - 13/27*p**3 + 0 - 1/108*p**4 - 42*p. Find i such that s(i) = 0.
-13
Let o(v) be the first derivative of -v**3/3 + 11*v**2/2 + 15. Let f(q) = 5*q**2 - 56*q. Let x(s) = -2*f(s) - 11*o(s). Factor x(c).
c*(c - 9)
Let r(k) be the second derivative of k**6/5 + k**5/10 - 8*k**4/3 - 4*k**3/3 + 16*k**2 + 87*k + 2. Solve r(x) = 0 for x.
-2, -4/3, 1, 2
Suppose 2*p**5 + 120*p**2 - 8*p**4 - 124*p**2 + 10*p**3 - 2 + 2 = 0. What is p?
0, 1, 2
Suppose -73 + 42 + 49 = 9*f. Find n such that -1/2*n**3 - 3/2*n + 3/2*n**f + 1/2 = 0.
1
Let s(n) be the second derivative of n**4/18 - n**3/3 - 2*n + 277. Factor s(z).
2*z*(z - 3)/3
Let q be 148/624 - 4/26. Let i(r) be the second derivative of 0 + 9/20*r**5 + q*r**4 - 1/3*r**3 + 5/42*r**7 + 0*r**2 - 13/30*r**6 + 4*r. Factor i(u).
u*(u - 1)**3*(5*u + 2)
Let t = -1050 - -2155/2. Factor -10 - 25/2*j**2 - 5*j**3 + t*j.
-5*(j - 1)*(j + 4)*(2*j - 1)/2
Let g(a) = a**2 - 5*a - 11. Let j be g(11). Suppose 0 = 5*s - 120 - j. Factor -93 + 12 - s*m**3 + 32*m**3 - 81*m - 27*m**2.
-3*(m + 3)**3
Let m = 2/113 - -442/565. Let y(z) be the first derivative of 6/25*z**5 + 3/5*z**2 - 2 - m*z + 2/5*z**3 - 7/10*z**4. Factor y(q).
2*(q - 1)**3*(3*q + 2)/5
Let z be ((-2)/(-3))/((-22)/(-957)). Let n = z + -29. What is v in 4/7*v**2 - 2/7*v**4 + 0*v**3 - 2/7 + n*v = 0?
-1, 1
Let q = 8893/36 + -247. Let n(j) be the second derivative of 3*j - 1/90*j**6 + q*j**4 + 0*j**3 + 0 + 0*j**2 + 1/60*j**5 - 1/126*j**7. Factor n(w).
-w**2*(w - 1)*(w + 1)**2/3
Let c be (-8)/6*(-6)/4. Find h, given that 15*h**3 + 6*h**2 + 6*h - 4*h**3 - 9*h**3 + c = 0.
-1
Factor 84*f**3 - 60*f**3 - 3*f**5 + 3*f**2 - 24*f - 24*f - 3*f**2.
-3*f*(f - 2)**2*(f + 2)**2
Let z(g) = -3*g - 7. Let r be z(-3). Find o, given that 2*o + 3 - 16*o**2 + o**4 - 13*o**r - 2*o**3 + 25*o**2 = 0.
-1, 1, 3
Let r(t) be the second derivative of -t**6/120 + t**5/10 + 8*t**3/3 + 25*t. Let s(i) be the second derivative of r(i). Factor s(b).
-3*b*(b - 4)
Let m(i) = i**2 + 16*i + 32. Let d be m(-14). Determine b so that 146 - 146 + 2*b**3 + d*b - 6*b**3 = 0.
-1, 0, 1
Factor -5*s**3 - 18*s**2 + 29*s**2 + 20*s + 20 - 16*s**2.
-5*(s - 2)*(s + 1)*(s + 2)
Let v = 9 - -13. Suppose 26*u - 12 = v*u. Factor -8/3*q**2 + 0 - 8/3*q**u - 2/3*q**4 + 0*q.
-2*q**2*(q + 2)**2/3
Let q(g) = -g**3 + 16*g**2 + 48*g - 213. Let z be q(18). Suppose 1/2*v**4 + 1/2 - 9/4*v**z + 7/2*v**2 - 9/4*v = 0. Calculate v.
1/2, 1, 2
Let l be 12/27 - 126/(-81). Find x, given that 2*x + 2/3 + l*x**2 + 2/3*x**3 = 0.
-1
Let k = 0 + 2. Suppose -4 = 4*r, 5 = 3*g - k*r - 3*r. Solve g*c - 24*c**3 + 20*c**2 - c - 15*c + 18*c**2 + 2 = 0 for c.
1/4, 1/3, 1
Let x(o) = 5*o**5 + 15*o**4 + 35*o**3 + 5*o**2 + 20*o - 20. Let t(g) = g**4 + 2*g**3 + g - 1. Let f(q) = -20*t(q) + x(q). Factor f(y).
5*y**2*(y - 1)**2*(y + 1)
Let r(n) be the third derivative of n**7/3360 - n**5/480 - n**3/2 - 19*n**2. Let f(k) be the first derivative of r(k). Factor f(b).
b*(b - 1)*(b + 1)/4
Let q(w) be the first derivative of -2/5*w**2 - 4/5*w + 1/4*w**4 - 1/25*w**5 + 1/3*w**3 - 1/30*w**6 + 19. Find a such that q(a) = 0.
-2, -1, 1, 2
Let u(l) = 3*l**2 + l - 2. Let g be u(1). Factor 63*y**2 + 62*y**g - 184*y**2 - 6*y + 62*y**2.
3*y*(y - 2)
Let r be (13 - 11) + (-3 - -4). Let c(s) be the third derivative of 0*s**4 + 1/105*s**5 - 8/21*s**r + 9*s**2 + 0 + 0*s. Find w, given that c(w) = 0.
-2, 2
Suppose 18*x + 158 = 158. Let r(p) be the third derivative of 1/40*p**4 + 0*p - 1/100*p**5 + x - 1/200*p**6 + 1/10*p**3 - 3*p**2. Factor r(i).
-3*(i - 1)*(i + 1)**2/5
Let i(p) be the first derivative of 9*p**4/4 - 29*p**3 - 129*p**2/2 - 33*p - 91. Factor i(h).
3*(h - 11)*(h + 1)*(3*h + 1)
Suppose 12*w - 16*w = -16. Let s be -8*((-2)/(w/(-5)) - 3). Factor -1/2*m**s + 1/2 - m + m**3 + 0*m**2.
-(m - 1)**3*(m + 1)/2
Let p(t) be the second derivative of t**6/300 + t**5/75 + t**4/60 + 4*t**2 + 9*t. Let l(w) be the first derivative of p(w). Factor l(d).
2*d*(d + 1)**2/5
Factor -45/4 - 3/4*c**3 - 69/4*c - 27/4*c**2.
-3*(c + 1)*(c + 3)*(c + 5)/4
Let f(l) be the first derivative of l**4/10 + 18*l**3/5 - l**2/5 - 54*l/5 - 226. Solve f(c) = 0.
-27, -1, 1
Determine m, given that 96/5 - 4/5*m - 2/5*m**2 = 0.
-8, 6
Factor 3/2*y + 1 - 1/2*y**4 - 1/2*y**2 - 3/2*y**3.
-(y - 1)*(y + 1)**