10 - 3*t**5 - 75*t**4/2 - 250*t**3 - 1875*t**2/2 - 323*t. Factor j(i).
-3*(i + 5)**4
Suppose 6*o + 20 = 8*o. Suppose 25*g + 15*g**2 - o*g**2 - 2*g**2 - 8*g**2 = 0. Calculate g.
0, 5
Let r(g) be the first derivative of 0*g + 1/2520*g**6 + 1/280*g**5 + 1/84*g**4 - 10 - g**3 + 0*g**2. Let x(p) be the third derivative of r(p). Factor x(h).
(h + 1)*(h + 2)/7
Let i(o) = -4*o**3 + 4*o**2 + 5*o + 2. Suppose 0 = -5*u + 1 - 11. Let s(g) = g**3. Let f(j) = u*i(j) - 10*s(j). Find t, given that f(t) = 0.
-2, -1
Let h(i) = i**5 + i**4 - i**3 - 1. Let z(x) = 2*x**5 + 32*x**4 + 78*x**3 + 65*x**2 + 20*x + 3. Let a(n) = -3*h(n) - z(n). Let a(w) = 0. What is w?
-4, -1, 0
Let n = -202 - -205. Let r(u) be the first derivative of 0*u - 3/28*u**4 - 2/7*u**n + 6 - 3/14*u**2. Factor r(h).
-3*h*(h + 1)**2/7
Let a(x) be the third derivative of -7*x**2 - 1/2*x**3 - 3/160*x**5 + 1/480*x**6 + 1/16*x**4 + 0 + 0*x. Let q(t) be the first derivative of a(t). Factor q(d).
3*(d - 2)*(d - 1)/4
Let r(z) = 2*z. Let t = 8 - -6. Let y(x) = -3*x**2 - 13*x. Let g(j) = t*r(j) + 2*y(j). Factor g(c).
-2*c*(3*c - 1)
Suppose -56 = -m - 7*m. Solve -m*o**2 + 5*o**4 + 6*o**2 - 3*o**2 - o**2 = 0.
-1, 0, 1
Let a(k) be the first derivative of 2*k**3/3 + 48*k**2 + 270*k - 658. Find n such that a(n) = 0.
-45, -3
Let y = 19103/5868 + -8/1467. Solve 1/4 + 12*r**2 - y*r - 9*r**3 = 0.
1/6, 1
Let w(v) be the second derivative of 5*v**4/12 - 5*v**3/6 - 2*v + 10. Factor w(r).
5*r*(r - 1)
Suppose -5*u = 3 - 13. Determine x so that 5*x**2 - 6*x - 12 - x**u - 2*x + 0*x**2 = 0.
-1, 3
Let h(q) be the second derivative of 0*q**2 - 3/10*q**5 + 0 + 1/2*q**3 + 7*q - 1/4*q**4. Let h(t) = 0. What is t?
-1, 0, 1/2
Let z(l) be the second derivative of l**7/210 + 3*l**6/50 + 21*l**5/100 + 19*l**4/60 + l**3/5 + 41*l - 1. Solve z(g) = 0 for g.
-6, -1, 0
Factor 142*h**2 + 2*h**2 + 15*h**3 + 147*h - 18*h**3.
-3*h*(h - 49)*(h + 1)
Let w(d) be the third derivative of -d**7/448 - 17*d**6/960 - d**5/20 - d**4/16 + 16*d**3/3 + 14*d**2. Let k(b) be the first derivative of w(b). Factor k(y).
-3*(y + 1)*(y + 2)*(5*y + 2)/8
Let l(r) = -7*r**2 - 221*r + 210. Let y(c) = -225*c**2 - 7080*c + 6720. Let v(n) = -65*l(n) + 2*y(n). Factor v(d).
5*(d - 1)*(d + 42)
Let r(z) be the second derivative of 0*z**3 - 2*z + 0*z**2 + 0 - 5/12*z**4 - 1/4*z**5. Factor r(y).
-5*y**2*(y + 1)
Let b(a) be the second derivative of a + 0*a**3 + 0 + 5/2*a**2 + 1/75*a**5 - 1/60*a**4. Let c(n) be the first derivative of b(n). Solve c(q) = 0.
0, 1/2
Let v = -23/967 - -123937/6769. Factor -v*d + 4/7*d**2 + 1024/7.
4*(d - 16)**2/7
Suppose 81*f - 165 = -94 + 172. Find m, given that -m**2 - 1/2 - 1/4*m**f - 5/4*m = 0.
-2, -1
Let g(a) = -a - 4. Let c be g(-7). Suppose -4*p = -0*l - l - 18, c*l = -2*p + 16. Solve -q**2 - q**l - q**2 - 3*q = 0.
-1, 0
Factor 53*v + 19*v + 1681 + v**2 + 10*v.
(v + 41)**2
Let x(n) be the first derivative of n**5/5 - n**4/4 - 5*n**3/3 - 3*n**2/2 - 274. Let x(g) = 0. Calculate g.
-1, 0, 3
Let q(d) = 3*d**4 + 16*d**3 + 51*d**2 + 46*d + 23. Let x(b) = -23 - 51*b**2 - 3*b**4 - 14*b**3 - 45*b - 1 - b**3. Let m(v) = -6*q(v) - 5*x(v). Factor m(c).
-3*(c + 1)**2*(c + 2)*(c + 3)
Let d = -11899/100 - -119. Let a(v) be the third derivative of -2/5*v**3 + 0*v + 0 - 6*v**2 + d*v**5 + 0*v**4. Suppose a(b) = 0. Calculate b.
-2, 2
Let j = 15407 + -15403. Find v such that 6/7*v**2 + 4/7 - 2/7*v**j + 2/7*v**3 - 10/7*v = 0.
-2, 1
Let l(u) be the second derivative of 2/13*u**5 + 0 - 2/15*u**6 + 1/39*u**7 - 4*u + 4/39*u**4 + 0*u**2 + 0*u**3. Factor l(j).
2*j**2*(j - 2)**2*(7*j + 2)/13
Suppose -5*c - 106 = 2*x - 123, 0 = c - 4*x + 1. Factor -12/7*d + 9/7*d**c - 12/7 + 15/7*d**2.
3*(d - 1)*(d + 2)*(3*d + 2)/7
Let n(z) be the third derivative of z**8/840 + z**7/525 - z**6/150 - z**5/75 + z**4/60 + z**3/15 - 61*z**2. Find y such that n(y) = 0.
-1, 1
Let t be (-504)/(-81) + -6 - (3 - 70/18). Solve 0 + t*u**3 + 0*u + 2/3*u**4 + 4/9*u**2 = 0 for u.
-1, -2/3, 0
Let x(d) be the first derivative of 0*d**3 + 2*d**2 + 1/30*d**5 + 0*d + 0*d**4 + 1/60*d**6 - 4. Let f(o) be the second derivative of x(o). Factor f(v).
2*v**2*(v + 1)
Let o(x) be the first derivative of 1/4*x**3 + 0*x + 1/120*x**5 - 1/240*x**6 + 5/48*x**4 + 2*x**2 - 5. Let w(g) be the second derivative of o(g). Factor w(m).
-(m - 3)*(m + 1)**2/2
Let l(r) be the third derivative of -3/2*r**3 - 1/20*r**5 + 1/2*r**4 + 4*r**2 + 0*r + 0. Determine y, given that l(y) = 0.
1, 3
Determine y so that 12*y**2 + 1018*y + 3*y**3 + 1007*y + 147*y**2 - 2187 = 0.
-27, 1
Suppose 58 + 50 = -9*o. Let i be o/(-20) - (1 - 46/40). Factor i - 3/2*v + 3/4*v**2.
3*(v - 1)**2/4
Let i = -423 + 423. Factor i + 1/3*y**2 - 1/6*y.
y*(2*y - 1)/6
Suppose -3*x + 4*k = -x - 270, -610 = -5*x - 3*k. Let y = -1373/11 + x. Factor 2/11*a**3 - y - 2/11*a + 2/11*a**2.
2*(a - 1)*(a + 1)**2/11
Let b(q) be the second derivative of 1/9*q**4 - 1/18*q**3 + 0 + 1/20*q**5 - 1/3*q**2 - 17*q. Let b(a) = 0. Calculate a.
-1, 2/3
Let y(f) be the first derivative of 1/4*f**4 + 0*f + 9 + 1/6*f**3 + 0*f**2 + 1/10*f**5. Find q such that y(q) = 0.
-1, 0
Let a = -1661 + 1664. Let o(v) be the first derivative of v**4 + 2*v**a + v + 1/5*v**5 + 11 + 2*v**2. What is g in o(g) = 0?
-1
Let l be (-56)/(-24) - (-1)/(-3). Determine g, given that 22 - g**3 + 3*g + 6*g**l - 2*g**3 - 28 = 0.
-1, 1, 2
Let g = 6269/8 - 783. Let b(t) be the first derivative of t + g*t**4 + 3 + 3/2*t**3 + 1/10*t**5 + 7/4*t**2. Factor b(p).
(p + 1)**3*(p + 2)/2
Factor -21*n**4 - 60*n**2 - 12*n - 69*n**3 + 10*n - 10*n.
-3*n*(n + 1)*(n + 2)*(7*n + 2)
Let p be ((-20)/(-5))/(2/10). Let z be 12/p*(-100)/(-45). Let 1/3*t**3 + t**2 - z + 0*t = 0. Calculate t.
-2, 1
Let r be (2/(-4))/((-7)/168). Solve 3*s**2 + s - r*s**2 + 2*s**4 - s**5 + 7*s**2 = 0 for s.
-1, 0, 1
What is r in -4/17 - 22/17*r**4 - 46/17*r**2 + 46/17*r**3 + 4/17*r**5 + 22/17*r = 0?
1/2, 1, 2
Determine x so that 2*x**2 - 5/3 + 4/3*x**3 - 4/3*x - 1/3*x**4 = 0.
-1, 1, 5
Let l(u) = -7*u**3 - 66*u**2 + 965*u - 4. Let t(i) = -19*i**3 - 197*i**2 + 2894*i - 11. Let z(j) = 11*l(j) - 4*t(j). Find a, given that z(a) = 0.
0, 31
Let s(b) be the third derivative of -b**9/302400 + b**8/25200 - b**7/8400 - b**5/15 - 7*b**2. Let r(h) be the third derivative of s(h). Factor r(o).
-o*(o - 3)*(o - 1)/5
Let r be ((-648)/144)/((-27)/12). Factor r + 2/9*m**2 + 4/3*m.
2*(m + 3)**2/9
Let f(s) = 121*s**2 + 7*s. Let j(p) = 121*p**2 + 6*p. Let g(u) = 5*f(u) - 6*j(u). Suppose g(z) = 0. Calculate z.
-1/121, 0
Suppose -n + 2*w - w + 40 = 0, 52 = n - 4*w. Let o be (n/30)/((-54)/(-20)). Factor o*i**3 - 2/9*i + 4/9*i**2 - 2/9 - 2/9*i**4 - 2/9*i**5.
-2*(i - 1)**2*(i + 1)**3/9
Let y(g) = g**5 - 4*g**4 + 23*g**3 - 23*g**2. Let h(i) = 4*i**4 - 24*i**3 + 22*i**2. Let f(l) = 3*h(l) + 2*y(l). Solve f(r) = 0.
-5, 0, 1, 2
Factor 0*w**4 + 3*w**5 - 9*w**4 + 4796*w**3 - 4790*w**3.
3*w**3*(w - 2)*(w - 1)
Let l be (36/28)/((-12)/(-40)). Let q = 104/21 - l. Determine x so that 0*x + 1/3*x**3 + 0 + q*x**2 = 0.
-2, 0
Suppose 23*g + 8 - 8 = 0. Factor g - 2/3*y**3 + 0*y - 2/3*y**2.
-2*y**2*(y + 1)/3
Let x = -6396 - -6396. Factor -1/2*j**3 - 25/2*j - 5*j**2 + x.
-j*(j + 5)**2/2
Let o(a) be the second derivative of -2*a**7/21 + 56*a**6/15 - 216*a**5/5 + 234*a**4 - 666*a**3 + 972*a**2 - a + 3. Factor o(q).
-4*(q - 18)*(q - 3)**3*(q - 1)
Let u be (-171)/76 - 17/(-4). Let 6*x**u + 3/2*x**5 - 9/2*x**3 + 6*x + 0 - 3*x**4 = 0. What is x?
-1, 0, 2
Let t(y) be the third derivative of y**6/480 - y**5/40 + 3*y**4/32 - y**3/6 - y**2 + 18*y. Let t(r) = 0. Calculate r.
1, 4
Let s(b) = 22*b**4 + 484*b**3 - 6250*b**2 - 16*b + 16. Let o(r) = -4*r**4 - 97*r**3 + 1250*r**2 + 3*r - 3. Let d(q) = -16*o(q) - 3*s(q). What is y in d(y) = 0?
0, 25
Factor 0 + 12/7*x + 1/7*x**4 - 8/7*x**2 - 5/7*x**3.
x*(x - 6)*(x - 1)*(x + 2)/7
Suppose -s + 15 = 5*t - 6*s, -3*t + 9 = -5*s. Suppose 0 = t*b - 0*b - 6. Suppose 6*y**4 - 4*y**b - 3*y + y**2 + 3*y**5 - 3*y**2 = 0. Calculate y.
-1, 0, 1
Let u = -17739 + 17741. Factor 15/2*j + 5/2 + 5*j**u.
5*(j + 1)*(2*j + 1)/2
Find p such that -512/3 - 320*p + 0*p**4 - 640/3*p**2 + 4/3*p**5 - 160/3*p**3 = 0.
-2, 8
Let n(x) = 10*x**4 + 20*x**3 + 34*x**2. Let h(v) = -4*v**4 - 8*v**3 - 14*v**2. Let c(q) = 12*h(q) + 5*n(q). Suppose c(l) = 0. What is l?
-1, 0
Find j such that 2472/7*j**3 - 156/7 +