*i**4 + 1/2*i**2 + 0*i - 2/3*i**3 + 0.
i**2*(i - 3)*(i - 1)/6
Let g = 10961/5 + -2192. Determine s, given that -1/5*s**3 + 3/5*s**2 - 2/5 + g*s - 1/5*s**4 = 0.
-2, -1, 1
Determine n, given that -111/7*n**2 - 12/7*n**3 + 3/7*n**4 - 108/7 - 204/7*n = 0.
-2, -1, 9
Let b(z) be the first derivative of z**3/9 - 5*z**2/4 - 4*z/3 + 240. Solve b(q) = 0 for q.
-1/2, 8
Let r be 4*((-6)/20)/((-4)/(-70)). Let d be ((-27)/r)/((-27)/(-6) + -3). Find b such that -2/7*b**4 - 2/7*b - d*b**3 + 0 - 6/7*b**2 = 0.
-1, 0
Let v be 1/(-4) - 342/(-24). Suppose 0 = -4*g - 2*a + 9 + 3, 3*g = -4*a + v. Factor -n - 1 - 4*n**g + 4*n + 2*n**2.
-(n - 1)*(2*n - 1)
Let l(v) = v**2 - 1. Let z(t) = 3*t**2 - 4*t + 2. Suppose 4*u + 5*p = -34, 5*u + 6*p - p + 40 = 0. Let m(i) = u*l(i) + 3*z(i). Factor m(j).
3*(j - 2)**2
Let u(n) be the second derivative of -3/20*n**5 + 2 - 9/4*n**4 + 25*n - 12*n**3 - 24*n**2. Factor u(r).
-3*(r + 1)*(r + 4)**2
Determine g, given that 196*g**2 - 388*g**2 + 64*g + 196*g**2 = 0.
-16, 0
Factor -214 - 8*g + 5*g**2 - 32*g + 289.
5*(g - 5)*(g - 3)
Suppose -5*u = -2*s - 9*u + 12, -3*s - 2*u + 10 = 0. Determine n so that -3971 - 3*n**s + 3971 + 3*n**3 = 0.
0, 1
Let u(h) = 9*h**2 - 12*h + 11. Let o(n) = -n**2 + 1. Let f(r) = r + 2. Let m be f(-4). Let t(a) = m*u(a) - 14*o(a). Factor t(w).
-4*(w - 3)**2
Find m, given that -3*m**3 + 20 - 382*m + 391*m - 14 = 0.
-1, 2
Let f(v) = v**5 - v**3 + v**2 + v - 1. Let t(h) = -h**5 - h**4 - 3*h**3 - 3*h**2 - h + 4. Let m(q) = 10*f(q) + 2*t(q). Suppose m(x) = 0. What is x?
-1, 1/4, 1
Let m = -318 + 446. Let 70*d + 200 + 5*d**2 - 83 + m = 0. Calculate d.
-7
Factor 413*z**3 - 91*z + 295 - 418*z**3 + 20*z**2 + 346*z + 155.
-5*(z - 10)*(z + 3)**2
Let v be 9 - (2 + -1)*4. Let -m**5 - m**v - m**4 - m**2 + 7*m**4 - 7*m**2 = 0. What is m?
-1, 0, 2
Let p = -733 - -739. Let v(a) be the second derivative of 0 - 1/60*a**4 - 2*a + 1/100*a**5 + 0*a**2 - 1/30*a**3 + 1/150*a**p. Find c such that v(c) = 0.
-1, 0, 1
Suppose 8*o - 230 = 13*o. Let q be (-63)/(-54)*(-2 + o/(-21)). Determine m so that 8/9*m - q*m**2 - 8/9 = 0.
2
Determine t, given that 4*t**3 + 19*t - 64 + 13*t + 61472*t**2 - 61444*t**2 = 0.
-4, 1
Let o(m) be the first derivative of m**5 + 5*m**4 - 55*m**3/3 + 15*m**2 + 693. Factor o(l).
5*l*(l - 1)**2*(l + 6)
Let g be ((-1)/(-4))/((-10)/(-120)). Factor 14*v**3 - 5*v**g + 27*v - 2*v**3 + 8*v**3 + 6 + 36*v**2.
3*(v + 1)**2*(5*v + 2)
Let l = 71/12 - 14/3. Let m(o) be the first derivative of -9/8*o**2 + 1/4*o + l*o**3 + 4 + 25/16*o**4. Factor m(a).
(a + 1)*(5*a - 1)**2/4
Suppose 19 + 10 = 4*x - 5*i, 0 = 4*i + 4. Let z(u) be the first derivative of -5*u**3 - x*u + 33/2*u**2 - 6. Suppose z(a) = 0. What is a?
1/5, 2
Let w(f) be the third derivative of -f**8/1512 - f**7/315 + 2*f**5/135 - 7*f**2 + 16*f. Factor w(i).
-2*i**2*(i - 1)*(i + 2)**2/9
Let c = -79 + 73. Let r = c + 6. Factor r*j - 1/4*j**3 + 0 + 1/4*j**2.
-j**2*(j - 1)/4
Let w(n) be the first derivative of -35*n**4/4 - 265*n**3 + 535*n**2 - 240*n + 151. Factor w(c).
-5*(c - 1)*(c + 24)*(7*c - 2)
Let s(r) be the first derivative of r**7/1050 - r**6/150 + 13*r**3/3 + 4. Let t(u) be the third derivative of s(u). Suppose t(p) = 0. What is p?
0, 3
Let h(w) be the third derivative of w**6/300 - w**5/150 + 5*w**3/6 - 17*w**2. Let q(x) be the first derivative of h(x). Factor q(j).
2*j*(3*j - 2)/5
Let h be 2/6 - 2856/9027. Let u = 115/177 + h. Factor -4/3*y**2 + 0 - u*y**3 + 0*y.
-2*y**2*(y + 2)/3
Let h(u) be the second derivative of -1/3*u**3 + 2/3*u**2 + 0 + 9*u + 1/18*u**4. Determine p so that h(p) = 0.
1, 2
What is c in -16/5*c + 0 + 24/5*c**2 + 2/5*c**5 - 6/5*c**4 - 4/5*c**3 = 0?
-2, 0, 1, 2
Let a(m) be the first derivative of -m**4/3 - 7*m + 4. Let k(y) be the first derivative of a(y). Determine b, given that k(b) = 0.
0
Suppose 4*k + 2*m - 10 - 16 = 0, 0 = 4*k - 2*m - 6. Suppose 4*v + 14*w - 36 = 15*w, -5*w - 36 = -2*v. Factor 4*p - 3*p - k + v*p**2 - 6*p**3 + p.
-2*(p - 1)**2*(3*p + 2)
Let q(m) be the third derivative of -2*m**7/525 + 2*m**6/25 - 11*m**5/75 - 274*m**2 + m. Find j, given that q(j) = 0.
0, 1, 11
Let t = -99 + 205. Let d be (-4)/26 + t/13. Factor 1/2*p**2 + d + 4*p.
(p + 4)**2/2
Let r(i) = -5*i**2 + 141*i + 290. Let f(h) = 65*h**2 - 1835*h - 3770. Let y(u) = 3*f(u) + 40*r(u). Let y(m) = 0. Calculate m.
-2, 29
Let q(f) = 5*f**5 - 18*f**4 + 16*f**3 - 10*f**2 + 3*f + 2. Let l(p) = -p**4 - p**3 - p**2 + p + 1. Let w(z) = 2*l(z) - q(z). Determine b, given that w(b) = 0.
0, 1/5, 1
Let v(u) be the first derivative of 2/3*u**2 - 2/3*u**3 + 8/3*u - 1/12*u**4 + 13 + 1/15*u**5. Factor v(l).
(l - 2)**2*(l + 1)*(l + 2)/3
Suppose -221*i + 4*i**2 + 2116 - 15*i + 52*i = 0. What is i?
23
Let v(q) = -q**3 + 9*q**2 + 10*q. Let t be v(10). Suppose 5*d - 6 = 3*d. Find o such that -o + t*o**3 + 5*o**3 - d*o**2 - 7 + 8 - 2*o**4 = 0.
-1/2, 1
Let r be (6/45)/(32/96). Solve 2/5*b**3 - 2/5*b**2 + 2/5 - r*b = 0 for b.
-1, 1
Let y(t) = -15*t**4 + 2*t**3 - 2*t**2 + t - 14. Let w(z) = 2*z**4 - z**3 + z + 2. Let m(r) = 28*w(r) + 4*y(r). Factor m(c).
-4*c*(c - 1)*(c + 2)*(c + 4)
Let k(d) be the third derivative of d**8/896 + d**7/80 + 7*d**6/320 - 23*d**5/160 - d**4/8 + d**3 + 149*d**2. Suppose k(i) = 0. What is i?
-4, -1, 1
Solve 41*s**4 + 44*s**4 + 42*s**4 + 16*s + 3*s**3 - 33*s**2 - 9 - 121*s**4 + 17*s = 0.
-3, 1/2, 1
Let w(a) be the third derivative of -3*a**8/448 - 13*a**7/168 - 5*a**6/18 - a**5/2 + 7*a**4/12 - 6*a**2. Let n(f) be the second derivative of w(f). Factor n(t).
-5*(t + 3)*(3*t + 2)**2
Factor -39/2*q + 3/2*q**2 - 21.
3*(q - 14)*(q + 1)/2
Let w = 16702 + -50038/3. Let a = -67/24 - -89/8. Factor 2/3 + a*n + w*n**2.
(4*n + 1)*(17*n + 2)/3
Factor 13*s**2 + 4*s**3 + 3*s**2 - 3*s - 4*s**4 - 13*s.
-4*s*(s - 2)*(s - 1)*(s + 2)
Let p(l) be the third derivative of 3*l**8/112 - 4*l**7/35 - 9*l**6/40 + 17*l**5/10 - 3*l**4/2 - 4*l**3 + 54*l**2. Determine d so that p(d) = 0.
-2, -1/3, 1, 2
Let i(r) be the first derivative of -r**4/32 + 7*r**3/8 + 45*r**2/16 + 23*r/8 - 83. What is l in i(l) = 0?
-1, 23
Let b(k) be the first derivative of 0*k**2 + 5/2*k**4 + 2/3*k**3 - 9 + 8/5*k**5 + 0*k. Find m, given that b(m) = 0.
-1, -1/4, 0
Let r(p) = -21*p**2 - 2*p + 8. Let j(q) be the third derivative of 7*q**5/30 + q**4/24 - 5*q**3/6 + 6*q**2. Let m(c) = -8*j(c) - 5*r(c). Factor m(v).
-v*(7*v - 2)
Let x(l) be the second derivative of 9*l**5/20 + 2*l**4 - 2*l**3 + 11*l**2/2 + 8*l. Let h(z) be the first derivative of x(z). Factor h(s).
3*(s + 2)*(9*s - 2)
Let i(b) be the second derivative of -3/8*b**3 + 1/16*b**4 - 3/2*b**2 - 31*b + 0. Let i(j) = 0. What is j?
-1, 4
Determine m so that -4/5*m**2 + 32/5*m + 0 = 0.
0, 8
Let y(p) be the third derivative of p**7/840 + 63*p**6/160 + 3969*p**5/80 + 83349*p**4/32 - 66*p**2 - 2. Factor y(g).
g*(g + 63)**3/4
Let m(l) = -9*l**2 + 26*l - 137. Let c(w) = 8*w**2 - 28*w + 132. Let g(r) = 7*c(r) + 6*m(r). What is f in g(f) = 0?
3, 17
Let x = 46 - 42. Suppose 46*k**2 - x*k**3 - 36*k**2 - 22*k**2 = 0. Calculate k.
-3, 0
Let a be 155 - (-4)/(-6)*-9. Let q = 808/5 - a. Factor 1/5*l**5 - 3/5*l**2 + 0 + 1/5*l**3 - 2/5*l + q*l**4.
l*(l - 1)*(l + 1)**2*(l + 2)/5
Let w be (-3 + 4 + -3)/((-3)/(-16)*-4). Factor 3*l - 1/3*l**2 - w.
-(l - 8)*(l - 1)/3
Let g(p) be the first derivative of -p**5/90 + 7*p**4/36 - 2*p**3/3 + 3*p**2/2 + 36. Let h(b) be the second derivative of g(b). Factor h(x).
-2*(x - 6)*(x - 1)/3
Let k(m) be the third derivative of 1/784*m**8 + 0*m**4 - 6*m**2 - 1/490*m**7 - 3/140*m**5 + 0 + 0*m - 1/56*m**6 + 0*m**3. Factor k(z).
3*z**2*(z - 3)*(z + 1)**2/7
Let m(l) be the third derivative of -1/150*l**5 + 0*l + 0 + 0*l**3 + l**2 + 1/525*l**7 + 0*l**4 + 0*l**6. Suppose m(c) = 0. What is c?
-1, 0, 1
Let i(t) = 7*t**3 - 5*t**2 - 7*t. Suppose -r + 17 = -2*r + 3*w, -3*r - 27 = -3*w. Let f(v) = 20*v**3 - 14*v**2 - 20*v. Let y(b) = r*f(b) + 14*i(b). Factor y(c).
-2*c*(c - 1)*(c + 1)
Let c(g) = 3*g**2 - 5*g + 4. Let o(h) = h**2 - 2*h + 2. Let p(q) = 2*c(q) - 5*o(q). Let u be p(2). Solve 2*i**u - 6*i - 2*i**2 + 2*i**2 - 8 = 0 for i.
-1, 4
Let l(z) = 2*z - 427*z**3 + 428*z**3 - z**2 - z - z**4. Let m(q) = -2*q**4 - 2*q**3 + 14*q**2 - 10*q. Let w(k) = -2*l(k) - m(k). Let w(t) = 0. Calculate t.
-2, 0, 1
Let h = 111071/145 + -766. Let i = 141/580 + h. Factor -w**2 + 0 + i*w.