/11
Suppose -3*s - 2 = 22. Let t be 18/8 + (-6)/s. Find x, given that -2/5*x + 4/5*x**t + 0 + 2/5*x**2 = 0.
-1, 0, 1/2
Solve 48*o + 16 + 3*o**3 + o**4 + 3*o**4 + 21*o**3 + 52*o**2 = 0 for o.
-2, -1
Let q(t) be the second derivative of t**6/20 + 3*t**5/10 + 3*t**4/8 - t**3 - 3*t**2 - 15*t. Factor q(s).
3*(s - 1)*(s + 1)*(s + 2)**2/2
Let d be (-9 + 3)*1/(-15). Solve 0*i**3 + d*i**4 + 2/5 + 0*i - 4/5*i**2 = 0.
-1, 1
Factor -q**2 - 1/4*q**3 + 1/4*q + 0 + q**4.
q*(q - 1)*(q + 1)*(4*q - 1)/4
Let m(x) be the third derivative of x**7/70 + x**6/20 - 29*x**2. Solve m(p) = 0.
-2, 0
Factor 26*w**3 - 75*w - 86 - 27*w**3 - 39 - 15*w**2.
-(w + 5)**3
Let s(b) = -5*b + 170. Let g be s(34). Factor g + 3/2*a**3 + 0*a**2 - 3/2*a.
3*a*(a - 1)*(a + 1)/2
Factor 3/2*i**3 - 11/2*i**2 + 6*i - 2.
(i - 2)*(i - 1)*(3*i - 2)/2
Let g(o) be the second derivative of o**8/42 + o**7/210 - o**6/45 + o**3/3 + 8*o. Let q(i) be the second derivative of g(i). Factor q(m).
4*m**2*(2*m + 1)*(5*m - 2)
Suppose -73 = 3*c + 5. Let n be (c/7 - -2) + 2. Factor -n*w**2 + 0*w + 2/7*w**3 - 2/7*w**5 + 0 + 2/7*w**4.
-2*w**2*(w - 1)**2*(w + 1)/7
Factor q**2 + 0*q**2 + 7*q + 6 + 3*q - 5*q.
(q + 2)*(q + 3)
Let n(f) be the second derivative of f**7/10 - f**6/25 - 63*f**5/100 + f**4 - 2*f**3/5 + 11*f. Suppose n(d) = 0. What is d?
-2, 0, 2/7, 1
Suppose 2*g + 0 = 4. Suppose -6*w + w**g - 7*w**2 + 3*w**2 = 0. Calculate w.
-2, 0
Let w(a) = -2*a**2 - 8*a. Let r(b) = -3*b**2 - 15*b. Let n(p) = -5*r(p) + 9*w(p). Factor n(g).
-3*g*(g - 1)
Let g(b) be the first derivative of 3*b**5/10 + 3*b**4/2 + 3*b**3/2 - 3. Suppose g(w) = 0. What is w?
-3, -1, 0
Solve 2/7*f**2 - 8/7 + 6/7*f = 0 for f.
-4, 1
Suppose 3*w + 3*w = -54. Let d be w*(-6 - -3)/9. Factor 9/2*k**d + 3/2*k**4 + 3/2*k + 9/2*k**2 + 0.
3*k*(k + 1)**3/2
Let f = 749/5 + -149. Solve -1/5*z**5 + 4/5*z**2 - 6/5*z**3 - 1/5*z + f*z**4 + 0 = 0 for z.
0, 1
Let u(x) = 3*x - 3*x + 2 - 2*x**2. Let b be 30/3*4/10. Let m(o) = 3*o**2 - 3. Let v(c) = b*u(c) + 3*m(c). Factor v(y).
(y - 1)*(y + 1)
Let z = 247 + -244. Factor 1/2*j + 0 - j**z + 5/4*j**2 - 3*j**4.
-j*(2*j + 1)**2*(3*j - 2)/4
Let d(u) be the second derivative of -63*u**5/50 - 61*u**4/15 + 4*u**3/5 + 8*u**2/5 + 4*u. Suppose d(f) = 0. What is f?
-2, -2/9, 2/7
Suppose -x - 2*h + 23 = -6*h, 25 = -5*h. Let -8/11*g**2 - 4/11*g**4 + 10/11*g**x + 0 + 2/11*g = 0. Calculate g.
0, 1/2, 1
Let h be 2/(-14) + (-120)/(-56). Let o(x) be the third derivative of 0 + 0*x + 4*x**h + 1/3*x**3 - 7/24*x**4 + 1/12*x**5. Factor o(w).
(w - 1)*(5*w - 2)
Let u(f) be the third derivative of -13*f**6/24 - f**5/6 + 65*f**4/24 + 5*f**3/3 - 4*f**2. Solve u(q) = 0.
-1, -2/13, 1
Let r = 25 - 22. Let y(p) be the third derivative of 0*p + 0 + 1/24*p**4 + 1/60*p**5 - 1/6*p**r - 2*p**2 - 1/120*p**6. Find b, given that y(b) = 0.
-1, 1
Let y(b) be the first derivative of 2/3*b**3 - 7 + 0*b**4 + 0*b**2 - b - 1/5*b**5. Find i, given that y(i) = 0.
-1, 1
Solve 0 + 2/5*w**2 - 6/5*w = 0.
0, 3
Factor 0 + 2*q**2 - 4/9*q.
2*q*(9*q - 2)/9
Let t(j) be the third derivative of -j**8/504 + j**7/63 - 2*j**6/45 + 2*j**5/45 - 2*j**2. What is w in t(w) = 0?
0, 1, 2
Let 1/8*a**2 - 1/2*a + 1/8*a**3 - 1/2 = 0. Calculate a.
-2, -1, 2
Let a be 1*2 + (-1765)/(-360). Let i = 57/8 - a. Suppose -i*x**2 + 0 + 2/9*x**5 + 2/9*x**4 - 2/9*x**3 + 0*x = 0. What is x?
-1, 0, 1
Let q be (4/18 - 34/(-9)) + -1. Let k(o) be the third derivative of 1/32*o**4 + 0*o**q + 0*o**5 + 0 - 1/160*o**6 - o**2 + 0*o. Factor k(i).
-3*i*(i - 1)*(i + 1)/4
Let v(k) = -k + 1. Let i(w) = -w - 9. Let z be i(-8). Let c(j) = 6*j**4 - 10*j**3 + 2*j**2 + 3*j - 1. Let l(t) = z*c(t) - v(t). Find d, given that l(d) = 0.
-1/3, 0, 1
Let n be (-38)/(-75) + (-1)/2. Let f(k) be the third derivative of n*k**5 - k**2 - 2/15*k**3 + 0 + 0*k - 1/60*k**4. Factor f(o).
2*(o - 2)*(o + 1)/5
Let p(x) be the second derivative of x**4/18 - 4*x**3/9 + 4*x**2/3 - 20*x. Suppose p(t) = 0. What is t?
2
Suppose 3 = 3*f + 2*l - 3, -15 = -f - 5*l. Let c(g) be the first derivative of -1 - 2/3*g**3 - g**2 + f*g. Find k such that c(k) = 0.
-1, 0
Let c(o) be the second derivative of 98*o**6/15 + 28*o**5/5 - 15*o**4 - 56*o**3/3 - 8*o**2 - 4*o. Suppose c(y) = 0. What is y?
-1, -2/7, 1
Let n = -427/2 - -225. Let j = -11 + n. Factor 0 - j*y - 3/4*y**3 + 5/4*y**2.
-y*(y - 1)*(3*y - 2)/4
Let h be -2*1*12/(-8). Let z(a) be the third derivative of 0 + 1/24*a**h - 1/480*a**6 + 0*a + 1/80*a**5 - 1/32*a**4 - 2*a**2. Solve z(y) = 0 for y.
1
Let y(t) be the second derivative of 3*t**6/5 - 69*t**5/40 + 13*t**4/8 - t**3/2 + t. Suppose y(l) = 0. What is l?
0, 1/4, 2/3, 1
Let q be 7/(224/(-50)) + 2. Let r(i) be the second derivative of 0*i**3 - i - 1/2*i**2 + 13/16*i**4 - q*i**5 + 0. What is h in r(h) = 0?
-2/7, 2/5, 1
Let t(o) be the third derivative of -54*o**7/35 + 3*o**6 + 41*o**5/5 + 20*o**4/3 + 8*o**3/3 - 3*o**2. What is m in t(m) = 0?
-1/3, -2/9, 2
Let k(c) be the first derivative of c**6/48 - c**5/20 - 4. Factor k(y).
y**4*(y - 2)/8
Determine h, given that 0 - 64/15*h - 4/3*h**3 - 2/15*h**4 - 64/15*h**2 = 0.
-4, -2, 0
Let n(b) be the third derivative of -b**6/120 + b**5/20 - 2*b**3/3 - 14*b**2. Factor n(q).
-(q - 2)**2*(q + 1)
Let y = -243 + 245. Solve -1 - 1/2*n**y + 3/2*n = 0 for n.
1, 2
Let v(b) be the first derivative of b**8/840 - b**7/420 - b**6/180 + b**5/60 - 4*b**3/3 + 5. Let y(a) be the third derivative of v(a). Let y(d) = 0. What is d?
-1, 0, 1
Suppose 4*c + 2 = 2*o + 12, c = 4*o - 8. Factor 0*x**o + 0*x + 1/3*x**4 + 0 + 0*x**2.
x**4/3
Suppose 3*x - 3 = 3. Determine q, given that 2*q**3 + 4*q**x + 12 + 2*q**3 - 12 = 0.
-1, 0
Let x be 6 - (-24)/(-9)*9/6. Find v such that 168/5*v**x + 32/5 - 176/5*v - 28*v**4 + 236/5*v**3 = 0.
-1, 2/7, 2/5, 2
Factor 0*t**3 - 4/15*t**4 - 2/15*t**5 + 2/15*t + 0 + 4/15*t**2.
-2*t*(t - 1)*(t + 1)**3/15
Factor -8 - 4*a - 1/2*a**2.
-(a + 4)**2/2
Let a(d) be the first derivative of d**4/14 - 2*d**3/21 - 4*d**2/7 + 8*d/7 + 6. Factor a(l).
2*(l - 2)*(l - 1)*(l + 2)/7
Suppose -6 = -2*v - 0. Let x be (-95)/(-105) + (-1)/v. Find k, given that 10/7*k**2 + 2*k**3 - x*k + 0 = 0.
-1, 0, 2/7
Let t = -10 - -14. Factor 8 - 2*v**2 + v + v + 0 - t.
-2*(v - 2)*(v + 1)
Let f = 4 + 1. Factor 0*l**3 + 2/3*l**2 - 2/3*l**4 + 1/3*l - 1/3*l**f + 0.
-l*(l - 1)*(l + 1)**3/3
Let w(j) be the third derivative of j**7/7560 - j**5/360 - j**4/6 - 2*j**2. Let x(h) be the second derivative of w(h). Suppose x(n) = 0. Calculate n.
-1, 1
Let n(g) = 3*g**3 - 9*g**2 + 6*g. Let j be ((-30)/(-18))/((-1)/3). Let l(r) = -3*r**3 + 9*r**2 - 6*r. Let b(d) = j*l(d) - 4*n(d). Factor b(f).
3*f*(f - 2)*(f - 1)
Let m(d) be the second derivative of d**7/5880 + d**6/504 + d**5/105 + d**4/42 - 2*d**3/3 - 2*d. Let r(s) be the second derivative of m(s). Factor r(l).
(l + 1)*(l + 2)**2/7
Let h(x) = 2*x + 30. Let u be h(-15). Let y(o) be the third derivative of u*o + 1/60*o**5 - 1/16*o**4 + 1/12*o**3 - 4*o**2 + 0. Let y(t) = 0. Calculate t.
1/2, 1
Let f(k) = k**4 - k**3 + k - 1. Let r(y) = 5*y**4 - 4*y**3 - y**2 + 4*y - 4. Let g(q) = 4*f(q) - r(q). Factor g(v).
-v**2*(v - 1)*(v + 1)
Let d(r) be the first derivative of 1/12*r**3 - 1/20*r**5 + 1 - 1/4*r**2 + 0*r + 5/16*r**4 - 1/8*r**6. Let d(m) = 0. Calculate m.
-1, 0, 2/3, 1
Let w = -128 - -130. Factor -4/3*m + 0 - 2/3*m**3 - w*m**2.
-2*m*(m + 1)*(m + 2)/3
Suppose 5*a = -15, 5*y - y + a = -3. Let g be (-2)/(-20)*4 + (-3)/45. Factor -d**2 + y - g*d**4 + 1/3*d + d**3.
-d*(d - 1)**3/3
Let f(x) be the first derivative of -x**6/468 + 2*x**5/195 + x**4/39 + x**3/3 + 1. Let i(u) be the third derivative of f(u). Factor i(m).
-2*(m - 2)*(5*m + 2)/13
Factor y**4 + 1/4*y**5 - 16 - 2*y**3 - 16*y**2 - 28*y.
(y - 4)*(y + 2)**4/4
Let h be (0/1)/(-1 - 1). Suppose h = -5*k + 3*y + 8 + 8, -2*k = 2*y. Solve -3*t**3 + k*t**3 + t - 4*t**4 + 3*t**4 + t**2 = 0.
-1, 0, 1
Let m(y) be the third derivative of -y**8/360 - 16*y**7/1575 - y**6/225 + 7*y**5/225 + 11*y**4/180 + 2*y**3/45 - 20*y**2. Let m(j) = 0. Calculate j.
-1, -2/7, 1
Let w = -2 + 3. Let l = w + 2. Suppose -1/3*s**2 - 4/3*s**l + 4/3*s + 1/3 = 0. Calculate s.
-1, -1/4, 1
Let s(o) be the second derivative of -o**5/25 - 13*o**4/15 - 32*o**3/5 - 72*o**2/5 - 27*o. Factor s(a).
-4*(a + 1)*(a + 6)**2/5
Suppose -n + 5 = -15. Let k = -18 + n. Suppose 0*p**k + 0 - 2/7*p**4 + 0*p**3 + 0