 1. Let v(t) = -30*o(t) + r(t). Find y, given that v(y) = 0.
-5/4, 1
Suppose n = -o + 1, 0*o + 5 = 4*n + 5*o. Suppose n = -6*x + 3*x + 12. Find s, given that s**4 - 6*s**4 - 8*s**4 + 18*s**3 - 4*s**2 - s**x = 0.
0, 2/7, 1
Let m = -7 - -9. Let l = 1 + m. Suppose -4*f + f + 2*f**l - f**5 + f + f = 0. Calculate f.
-1, 0, 1
Let 98 + 34/3*h**2 + 182/3*h + 2/3*h**3 = 0. What is h?
-7, -3
Suppose c = -2*c. Let a be -3 - ((-16)/3 + (-3)/(-9)). Factor c - 2*n**3 + 2/5*n - 2/5*n**a - 6/5*n**4.
-2*n*(n + 1)**2*(3*n - 1)/5
Let h = -13719 - -13722. Factor 9/4*j + 3/4*j**2 - 9/4*j**h + 3/4*j**4 - 3/2.
3*(j - 2)*(j - 1)**2*(j + 1)/4
Let o(p) = p**2 + 10*p - 1. Let r be o(-11). Let v be (r/15)/(1/2). Suppose 4*z**3 - 20/3*z**2 + v*z + 4/3 = 0. What is z?
-1/3, 1
Let k be (-416)/(-10) + 2/5. Suppose 3 = -2*g + 15. Determine z so that -4 + k*z**2 - 18*z**3 - 20*z**3 - 12*z**3 - g*z + 18*z**4 = 0.
-2/9, 1
What is b in -8/21*b**2 - 2/21*b - 2/21*b**3 + 4/7 = 0?
-3, -2, 1
Let k(z) = z**5 - z**4 + z**3 + z**2 + z. Let q(f) = -7*f**5 - 2*f**4 - 10*f**3 + 52*f**2 - f - 50. Let t(p) = -6*k(p) - q(p). Determine h so that t(h) = 0.
-5, -1, 1, 2
Let j(f) be the third derivative of 3/4*f**4 + 33*f**2 + 0 - 1/20*f**5 + 0*f**3 + 0*f. Let j(t) = 0. Calculate t.
0, 6
Let l(t) = -t**3 + 4*t**2 - 3*t - 5. Let m be l(-1). Let r(q) be the first derivative of 3*q**2 - 5 + 2/3*q**m + 4*q. Factor r(s).
2*(s + 1)*(s + 2)
Let k be (1572/96 - 12)/((-20)/(-16)). Factor 4 + k*l - 1/2*l**2.
-(l - 8)*(l + 1)/2
Let r(d) = -d**5 - d**4 + d**3 - d - 1. Let v(m) = -8*m**5 - 18*m**4 + 13*m**3 + 60*m**2 + 37*m - 3. Let f(x) = 3*r(x) - v(x). Factor f(w).
5*w*(w - 2)*(w + 1)*(w + 2)**2
Let k(m) = -3 - 2*m**3 - 19 + 102*m**2 + m - 80*m**2 + m**3. Let s be k(22). Determine u, given that s - 2/5*u + 2/5*u**2 = 0.
0, 1
Let 3/4*l**3 + 33/4*l + 21/4*l**2 + 15/4 = 0. Calculate l.
-5, -1
Let t = -25289/3 + 8430. Suppose t*h**2 + 1/3*h - 2/3 = 0. What is h?
-2, 1
Let y(j) be the first derivative of 2*j**5/15 - 11*j**4/6 + 74*j**3/9 - 15*j**2 + 12*j + 125. Factor y(d).
2*(d - 6)*(d - 3)*(d - 1)**2/3
Let s(n) = -n**4 + 2*n**3 + 2*n**2. Let z(h) = 22*h**4 + 31*h**3 + 11*h**2. Let m(y) = 2*s(y) + z(y). Let m(r) = 0. What is r?
-1, -3/4, 0
Let d(f) be the second derivative of f**6/280 - f**5/140 - f**4/28 + 31*f**2/2 + 4*f. Let w(b) be the first derivative of d(b). Determine n so that w(n) = 0.
-1, 0, 2
Let y(k) be the third derivative of k**6/210 + k**5/105 - 20*k**2. Let y(l) = 0. Calculate l.
-1, 0
Let v be (-10 - -13) + (2 - (-3782)/(-1384)). Let b = v + -3/173. Factor 5/4*s**2 + 1/4*s + 3/4*s**3 + 0 - b*s**4.
-s*(s - 1)*(3*s + 1)**2/4
Suppose -118 = 941*i - 1000*i. Factor 1/6*z**i + 1/3 - 1/2*z.
(z - 2)*(z - 1)/6
Let n(b) be the third derivative of -b**7/105 - 37*b**6/30 - 312*b**5/5 - 1440*b**4 - 9216*b**3 - 73*b**2. Find z, given that n(z) = 0.
-24, -2
Let l = 25/43 - -685/301. Factor 2/7*z**4 + 24/7*z**2 + 6/7 - l*z - 12/7*z**3.
2*(z - 3)*(z - 1)**3/7
Let a(y) be the second derivative of y**7/4200 + y**6/900 + y**5/600 - 13*y**3/6 - 8*y. Let w(t) be the second derivative of a(t). Factor w(g).
g*(g + 1)**2/5
Let n(o) = 12*o**4 + 4*o**3. Let m(t) = t**4 - t**3 - t**2. Let z(q) = 8*m(q) - n(q). Factor z(i).
-4*i**2*(i + 1)*(i + 2)
Let d = -6567/2 - -3285. Factor -1/4*r + 3/2*r**2 - d + 1/4*r**3.
(r - 1)*(r + 1)*(r + 6)/4
Let 3 + w**2 - 4*w**2 + 57*w - 57*w = 0. Calculate w.
-1, 1
Let y(w) be the third derivative of -w**7/1470 + w**5/140 - w**4/84 + 54*w**2. Find j such that y(j) = 0.
-2, 0, 1
Let 1/3*r**5 - 1/3*r**3 + 0 - 11/3*r**2 + 11/3*r**4 + 0*r = 0. What is r?
-11, -1, 0, 1
Determine n, given that 75/2 + 3/2*n**2 + 39*n = 0.
-25, -1
Let g(r) = 7*r**2 - 26*r + 19. Let v(a) = 8*a**2 - 25*a + 14. Let y(q) = 4*g(q) - 5*v(q). Solve y(u) = 0 for u.
-1/4, 2
Suppose -s - 46 = -3*s. Factor -y**2 + 17*y**3 - s*y**3 - 3*y**2 + 2*y**5.
2*y**2*(y - 2)*(y + 1)**2
Let m be (6/9)/((-1)/(-3)). Let k be (26/(-12))/(-1) + m*-1. Find o, given that 2/3 + 5/6*o**2 - k*o**3 - 4/3*o = 0.
1, 2
Let w(u) = -4*u**3 + 29*u**2 + 6*u - 89. Let t be w(7). Solve -6/5*v**3 + 4*v**t + 2/5*v**5 - 8/5*v**4 + 16/5*v + 0 = 0.
-1, 0, 2, 4
Let m = -78 - -88. Let t be (-18)/(-4)*(-4)/(-6). Factor 50 - 2*s**2 - 8*s**4 - 50 - m*s**t.
-2*s**2*(s + 1)*(4*s + 1)
Let m(i) be the first derivative of i**7/420 + i**6/36 + i**5/20 - 3*i**4/4 + 17*i**3 - 43. Let f(x) be the third derivative of m(x). Solve f(l) = 0.
-3, 1
Let k = 5154 + -5152. Determine g, given that -2/5*g - 6/5*g**k + 4/5 = 0.
-1, 2/3
Let f(s) be the third derivative of s**8/560 - s**7/280 - s**6/15 + 3*s**5/10 + 6*s**3 - 35*s**2. Let d(z) be the first derivative of f(z). Factor d(y).
3*y*(y - 2)**2*(y + 3)
Let d be 1617/147 - 50/6. Factor -d*y - 4*y**2 + 0 - 4/3*y**3.
-4*y*(y + 1)*(y + 2)/3
Determine y so that -2/3*y**2 + 4*y - 10/3 = 0.
1, 5
Let u(o) be the first derivative of -4*o**5/3 + 109*o**4/6 + 26*o**3/9 - 22*o**2/3 - 314. Let u(i) = 0. What is i?
-1/2, 0, 2/5, 11
Let t(l) be the third derivative of l**9/181440 - 17*l**5/60 + l**2 - 3*l. Let i(q) be the third derivative of t(q). Suppose i(h) = 0. Calculate h.
0
Let i(u) be the first derivative of -4*u**3/21 + u**2/7 + 2*u/7 + 92. Factor i(a).
-2*(a - 1)*(2*a + 1)/7
Let b(m) be the first derivative of -m**6/12 - m**5/10 + m**4/4 + 128. Determine u so that b(u) = 0.
-2, 0, 1
Let x(f) be the third derivative of -f**6/900 - f**5/150 - 7*f**3/6 + 5*f**2. Let z(j) be the first derivative of x(j). Find t such that z(t) = 0.
-2, 0
Let v(x) be the second derivative of -x**4/30 + x**2/5 + 253*x. Factor v(f).
-2*(f - 1)*(f + 1)/5
Let j be (-4)/(-4)*3 - 2. Factor -2*p**2 + 6 - 3 + 2*p + j.
-2*(p - 2)*(p + 1)
Let j = 7665 + -7662. Factor 0*m + 0*m**j + 0*m**2 + 3*m**5 + 6/5*m**4 + 0.
3*m**4*(5*m + 2)/5
Let w(b) be the second derivative of -b**4/3 + 136*b**3/3 - 165*b + 1. Factor w(o).
-4*o*(o - 68)
Let g = 93/7 + -444/35. Factor g - 1/5*i**2 + 2/5*i.
-(i - 3)*(i + 1)/5
Factor 4/3*h + 0 + 14/3*h**2 - 8/3*h**3.
-2*h*(h - 2)*(4*h + 1)/3
Let x(g) be the third derivative of -g**7/1050 - 3*g**6/200 - g**5/20 + 5*g**4/24 + 2*g**2 + 1. Let x(y) = 0. What is y?
-5, 0, 1
Suppose 5*i - 1 = -5*v + 9, -5*i = -5*v + 50. Suppose 10 - v = 2*y. Factor 9*f + 2 + 3*f**y + 1 + 3 + 0.
3*(f + 1)*(f + 2)
Let t(u) = 4*u**4 + 36*u**3 + 122*u**2 + 149*u + 59. Let f(a) = 6*a**4 + 54*a**3 + 182*a**2 + 223*a + 89. Let w(n) = 5*f(n) - 7*t(n). Factor w(j).
2*(j + 1)*(j + 2)**2*(j + 4)
Let q(s) = -s**3 + 15*s**2 + 20*s - 64. Let j be q(16). Factor j*n**4 - 8/3*n**3 + 0 + 0*n**2 + 2/3*n**5 + 0*n.
2*n**3*(n - 2)*(n + 2)/3
Determine g so that -71/10*g**2 + 153/10*g**3 - 1/2*g + 3/5 + 2*g**5 - 103/10*g**4 = 0.
-1/4, 2/5, 1, 3
Factor 3/2*i**3 + 0 - 3*i**2 + 3/4*i**4 - 6*i.
3*i*(i - 2)*(i + 2)**2/4
Let u(f) be the second derivative of 15*f + 0*f**4 + 0 + 1/5*f**5 - 26/45*f**6 + 8/63*f**7 + 0*f**3 + 0*f**2. Factor u(a).
4*a**3*(a - 3)*(4*a - 1)/3
Let n(h) = 3*h**4 + 22*h**3 - 104*h**2 + 266*h - 163. Let o(s) = s**4 + s**3 + 2*s**2 - s + 3. Let y(r) = n(r) - 4*o(r). Factor y(b).
-(b - 7)*(b - 5)**2*(b - 1)
Let r(n) = n**2 + n + 12. Let j(h) = 3*h**2 + 3*h + 12. Let o(q) = -j(q) + 2*r(q). Solve o(s) = 0.
-4, 3
Let k be 7/(-63) - (28/72 + -2). Suppose 3/2*d - k*d**3 + 0 + 0*d**2 = 0. What is d?
-1, 0, 1
Let w = -14 - -16. Let z be (-153)/(-85) - w/(-10). Factor -1/2*j**3 + 32 + 6*j**z - 24*j.
-(j - 4)**3/2
Let x be (10 - 4)*6/9. Factor 2*h**3 + 10*h**4 + 3*h**5 - 4*h**5 + 8*h**2 + 12*h - 5*h - 12*h**x + 2.
-(h - 2)*(h + 1)**4
Let p = 5385/7 - 769. Find z such that 2/7*z**3 - 4/7*z**2 + 3/7*z**4 - p*z + 1/7 = 0.
-1, 1/3, 1
Let g(h) be the third derivative of h**5/15 + 29*h**4/6 - 124*h**3/3 - 68*h**2. Factor g(c).
4*(c - 2)*(c + 31)
Solve -13*m - 676 - m**2 - 4*m - 29*m - 6*m = 0 for m.
-26
Let c = 63/148 + 12/37. Let o(z) be the first derivative of c*z**4 + 5 + 12*z**2 + 12*z + 5*z**3. Find s such that o(s) = 0.
-2, -1
Let p be 0*115/(-69)*(-3)/(-10). Factor -3*o**4 + p*o + 0*o**3 + 1/2*o**5 + 0 + 16*o**2.
o**2*(o - 4)**2*(o + 2)/2
Let s(p) be the second derivative of p**8/26880 - p**6/720 - p**4/3 + 8*p. Let x(j) be the third derivative of s(j). Factor x(r).
r*(r - 2)*(r + 2)/4
Let b(h) be the first derivative of 3*h**4/16 + 3*h**3/4 - 15*h**2/4 + 103. Factor b(w).
3*w*(w - 