5880 + r**7/588 - 2*r**6/315 + r**5/105 + r**3/3 + 3*r**2. Let v(y) be the first derivative of x(y). Factor v(m).
-2*m*(m - 2)**2*(m - 1)/7
Factor -9 + 21 - 16*h + 74*h + 18*h**2.
2*(h + 3)*(9*h + 2)
Let h(g) be the first derivative of -2*g - 1/12*g**4 + 1/20*g**5 + 0*g**3 - 2 + 0*g**2. Let r(j) be the first derivative of h(j). Factor r(u).
u**2*(u - 1)
Find u such that -4 + 77*u + 11 + u**2 - 85*u = 0.
1, 7
Find z, given that -24/5 + 4*z - 4/5*z**2 = 0.
2, 3
Suppose -14 = -k - 5*d + 2*d, 2*k + 4*d - 20 = 0. Determine t so that -2*t**2 + 0*t**k - t**2 + 6*t**2 - 3 = 0.
-1, 1
Let h = -2 + 6. Suppose -2*k - 4*a - 16 = -4*k, 0 = -3*k + 5*a + 22. Solve -2 + h*j**3 - j - 3*j + 3*j**4 - j**k = 0.
-1, 1
Let j(w) be the second derivative of -w**4/4 - w**3/2 - w. Factor j(y).
-3*y*(y + 1)
Let u = 2 + -6. Let h be u/(-40) - 6/(-15). Factor 3/2*y**4 - 1/2*y**5 + 0 + h*y**2 - 3/2*y**3 + 0*y.
-y**2*(y - 1)**3/2
Let o = -7 - -172. Let x be 6/o*10/2. Factor -10/11*t - 6/11*t**2 - 4/11 + 2/11*t**4 + x*t**3.
2*(t - 2)*(t + 1)**3/11
Suppose -9*w + 10 = -7*w. Let s(j) be the second derivative of 0*j**2 + 1/6*j**3 + 1/6*j**4 + 1/20*j**w + 2*j + 0. Determine x, given that s(x) = 0.
-1, 0
Let c = 149/145 - -5/29. What is h in -4/5 + 56/5*h**3 - c*h + 54/5*h**2 = 0?
-1, -1/4, 2/7
Let y(j) be the second derivative of -j**9/35280 - j**8/15680 + j**7/5880 + j**6/1680 - 2*j**4/3 - 8*j. Let l(i) be the third derivative of y(i). Factor l(h).
-3*h*(h - 1)*(h + 1)**2/7
Find v, given that 25*v**3 + 6*v**4 + 20*v - 64*v**2 + 104*v**2 - v**4 = 0.
-2, -1, 0
Let n(f) be the second derivative of f**7/42 - f**6/15 - f**5/10 + f**4/3 + f**3/6 - f**2 - f. Suppose n(k) = 0. What is k?
-1, 1, 2
Let z(c) = -2*c**3 + 10*c**2 - 8*c + 2. Let i be z(4). Determine h, given that 27/2 - 1/2*h**3 - 27/2*h + 9/2*h**i = 0.
3
Let a be 426/(-355) - 176/(-130). Factor 0 + 2/13*k**5 + 6/13*k**4 + 0*k + a*k**2 + 6/13*k**3.
2*k**2*(k + 1)**3/13
Let g be (-4)/(-18) + 4344/(-108). Let y = g + 81/2. Find v such that 1/2*v**3 - 1 - y*v + v**2 = 0.
-2, -1, 1
Suppose 2*a - 4 - 4 = -s, -s + 24 = -2*a. Let f = s - 11. Factor 3*k**4 + 9*k**5 + 5*k**f + k**4.
2*k**4*(7*k + 2)
Suppose 3 = 3*q - 2*q. Let t(h) be the first derivative of -3/5*h**2 + 2 + 4/5*h + 2/15*h**q. Factor t(m).
2*(m - 2)*(m - 1)/5
Let g(n) = n - 1. Let a be g(5). Let y = 4 - 4. Factor 0*k + 3*k - a*k + y*k + k**2.
k*(k - 1)
Let f(u) = u + 12. Let d be f(-9). Factor c**2 - 3*c**2 - 3*c**5 + 9*c**4 + 5*c**2 - 14*c**3 + 5*c**d.
-3*c**2*(c - 1)**3
Let p(l) be the first derivative of l**5/30 + 7*l**4/24 + 11*l**3/18 + 5*l**2/12 + 37. Factor p(f).
f*(f + 1)**2*(f + 5)/6
Suppose -5*a = h - 4*h + 34, 4 = -a + 2*h. Let l = a + 8. Factor 1 + l*d - 3/4*d**2 + 1/4*d**3.
(d - 2)**2*(d + 1)/4
Suppose -4*w - 2*s = -24, 4*w + 3*s = 32 - 4. Suppose 4*a**5 + 6*a**3 - a**5 - a + 9*a**4 - a**w = 0. Calculate a.
-1, 0, 1/3
Let h(c) be the first derivative of -1/2*c + 5 - 3/8*c**2 - 1/12*c**3. Solve h(t) = 0 for t.
-2, -1
Let 3/5 + 3/5*t**2 - 6/5*t = 0. What is t?
1
Let k(y) be the second derivative of 1/9*y**3 - 1/30*y**5 + 3*y + 1/45*y**6 + 0*y**2 - 1/18*y**4 + 0. Factor k(z).
2*z*(z - 1)**2*(z + 1)/3
Suppose 0*g - 2*g = -6. Suppose 3*s = 2*c + 19, 2*s + g*c - 14 = 5*c. Factor -8*v**s + 7*v**5 + v**3 - v**2 - 5*v**4 + 6*v**4.
-v**2*(v - 1)**2*(v + 1)
Let z(g) be the first derivative of -g**4/16 - g**3/12 + g**2/8 + g/4 + 7. What is a in z(a) = 0?
-1, 1
Let j be (1 - (-2)/(-8))/(1/4). Let w(y) be the first derivative of -1/2*y**2 - 2/3*y + 2 - 1/9*y**j. Factor w(u).
-(u + 1)*(u + 2)/3
Let p(q) be the first derivative of -q**6/900 - q**5/450 + q**4/180 + q**3/45 + 3*q**2 + 1. Let t(d) be the second derivative of p(d). Factor t(o).
-2*(o - 1)*(o + 1)**2/15
Let h(f) be the third derivative of 0 + 0*f - 3/20*f**5 + 3/40*f**6 - 1/70*f**7 - 4*f**2 + 1/8*f**4 + 0*f**3. What is g in h(g) = 0?
0, 1
Let i(n) be the second derivative of 4*n**2 + 1/5*n**5 - n + 0 - 2*n**3 + 0*n**4. Let i(a) = 0. Calculate a.
-2, 1
Let y(v) be the first derivative of -v**3/9 + 7*v**2/6 - 10*v/3 - 12. Factor y(t).
-(t - 5)*(t - 2)/3
Let m(b) = -b + 2. Let r be m(3). Let a = r - -6. Factor -i + 3*i**2 - 5*i**2 + a - 4.
-(i + 1)*(2*i - 1)
Suppose 4*m - 33 = -3*w, 2*w - 18 = -w + m. Suppose -2*n = -w - 1. Factor 7/5*j**n + 4/5*j**5 + 2/5*j**3 + 0*j - 1/5*j**2 + 0.
j**2*(j + 1)**2*(4*j - 1)/5
Let p(g) be the first derivative of 27*g**6/2 + 36*g**5/5 - 77*g**4/4 - 12*g**3 - 2*g**2 - 10. Factor p(d).
d*(d - 1)*(d + 1)*(9*d + 2)**2
Let l(v) = v**2 - 3*v + 1. Let h be l(4). Find a, given that 4*a**3 + 2*a**5 - 6*a**h + 8*a**4 - 8*a**2 - 4*a**3 + 4*a = 0.
-1, 0, 1
Let p be 9 + 1/2*-8. Let k(o) be the first derivative of -1/5*o**2 - 1 - 3/10*o**4 + 0*o - 2/25*o**p - 2/5*o**3. Factor k(c).
-2*c*(c + 1)**3/5
Let b(w) be the first derivative of -5*w**6/6 - w**5 - w**4/3 + 6*w + 6. Let u(o) be the first derivative of b(o). Solve u(h) = 0 for h.
-2/5, 0
Let i(s) be the third derivative of -s**5/90 + s**4/36 - 3*s**2. Let i(t) = 0. What is t?
0, 1
Let r = 2 - 0. Suppose -r*i + 1 = -3. Find n such that 2/5 - 12/5*n - 18/5*n**4 + 16/5*n**i + 4/5*n**3 + 8/5*n**5 = 0.
-1, 1/4, 1
Suppose -4 + 10 = 2*v. Factor 12*q**4 + v*q**2 + q**3 - 18*q**3 + 2*q**3 - 12*q**2 - 3 + 15*q.
3*(q - 1)**2*(q + 1)*(4*q - 1)
Let m be (3 - 4)/(2/(-6)). Suppose 3*t - 2*t = m. Determine d so that 4 - 16*d**2 + 26*d**t - 11*d**2 - 10*d**4 - 2*d + 9*d**2 = 0.
-2/5, 1
Let k be ((-7)/(105/(-10)))/(6/3). Factor -h**4 + k*h**5 + 0 - 2/3*h + h**2 + 1/3*h**3.
h*(h - 2)*(h - 1)**2*(h + 1)/3
Let m(o) be the first derivative of -2*o**3/3 + 2*o**2 - 6. Suppose m(r) = 0. Calculate r.
0, 2
Let y(n) = n**2 + 8*n + 27. Let m(l) = -6*l**2 - 47*l - 163. Let s(t) = -6*m(t) - 39*y(t). Let s(c) = 0. Calculate c.
-5
Suppose 0 = -5*m - y + 15, 4*m = -4*y + 8*y + 12. Let 0*r**2 + r + 2/3 - 1/3*r**m = 0. What is r?
-1, 2
Let v be 21/6 + 1/2. Suppose 0 = -g - 2*c, -c - 1 + 8 = v*g. Suppose 2*y**2 - 2*y + 0 + g*y**3 - 2*y**4 + 0 = 0. Calculate y.
-1, 0, 1
Let b = 4 - 3. Let t = b + -1. Determine x, given that -3*x**2 - x**2 + 2*x**4 + t*x**2 + 8*x**4 - 6*x**3 = 0.
-2/5, 0, 1
Let v(z) = 29*z**2 + 569*z + 3902. Let w(p) = -7*p**2 - 142*p - 976. Let b(m) = 2*v(m) + 9*w(m). What is g in b(g) = 0?
-14
Suppose 3*j + 25 + 2 = 0. Let y = -9 - j. Find p, given that y - 1/3*p**3 - 2/3*p**2 - 1/3*p = 0.
-1, 0
Let m(q) be the second derivative of 1/4*q**4 + 0*q**2 + 2*q + 3/20*q**5 + 0 - 1/2*q**3 - 1/10*q**6. Find o, given that m(o) = 0.
-1, 0, 1
Let o(v) be the third derivative of 0 + 0*v + 3*v**2 + 0*v**5 + 0*v**3 + 0*v**6 - 1/168*v**8 + 0*v**4 - 1/105*v**7. Solve o(n) = 0 for n.
-1, 0
Let c(l) be the first derivative of -3*l**5/10 + 15*l**4/8 - 2*l**3 + 52. Factor c(q).
-3*q**2*(q - 4)*(q - 1)/2
Let a(h) be the third derivative of -h**7/1470 + h**6/840 + h**5/84 + h**4/56 - 2*h**2 + 32. Solve a(n) = 0 for n.
-1, 0, 3
Let -4/7 + 6/7*f - 2/7*f**2 = 0. What is f?
1, 2
Let b(d) = d**2. Let o(i) = 5*i**3 - 17*i**2 + 9*i - 2. Suppose a + 60 = -3*a. Let c(w) = a*b(w) - 3*o(w). Factor c(q).
-3*(q - 1)**2*(5*q - 2)
Let h(p) be the second derivative of p**4/60 + 2*p**3/15 + 3*p**2/10 - 27*p. Find b such that h(b) = 0.
-3, -1
Let b(p) be the first derivative of -p**6/600 + p**5/50 - p**4/10 + 2*p**3/3 + 6. Let s(z) be the third derivative of b(z). Factor s(j).
-3*(j - 2)**2/5
Let q = 274/3 - 95. Let m = q + 4. Solve 0*z - 1/3*z**2 - m*z**3 + 0 = 0 for z.
-1, 0
Factor -2/7*z**2 + 4/7*z + 0.
-2*z*(z - 2)/7
Let z(s) be the third derivative of s**8/21 - 8*s**7/35 + 47*s**6/120 - 13*s**5/60 - s**4/8 + s**3/6 - 12*s**2. Factor z(x).
(x - 1)**3*(4*x - 1)*(4*x + 1)
Let q be 28/20 - 9/(-15). Let t(z) be the third derivative of 2*z**q + 0*z + 1/30*z**6 - 1/12*z**5 + 0*z**3 + 0 + 1/24*z**4. Factor t(y).
y*(y - 1)*(4*y - 1)
Suppose 70 = -2*y + 20. Let l = 51/2 + y. Factor 0*q + 0 + 1/2*q**2 + l*q**3.
q**2*(q + 1)/2
Let y(l) = l**2 + l - 1. Let i(s) = s**2 + 2*s - 2. Let d be i(-3). Let r(g) = -3*g**2 + 3*g + 1. Let z(a) = d*r(a) + y(a). Solve z(x) = 0.
0, 2
Let p(a) be the second derivative of 3*a**5/20 - a**4/4 - 2*a**3 + 6*a**2 - 24*a. Let p(z) = 0. What is z?
-2, 1, 2
Let g = 2551/9 - 283. Let j(o) be the second derivative of 1/54*o**4 + 2*o + g*o**2 + 0 - 4/27*o**3. Factor j(x).
2*(x - 