
Let q(j) = -j**2 - 4*j - 3. Let k be q(-4). Let n be 10/20 + k/9. Determine c, given that 0 - n*c - 2/3*c**4 - 2/3*c**5 + 1/3*c**2 + 1/2*c**3 = 0.
-1, 0, 1/2
Let z = -783 + 1575/2. Solve 0 + 0*s - z*s**2 + 3/2*s**3 = 0.
0, 3
Factor 48*v**3 - 12*v**5 - 4*v**2 - 28*v**2 - 15*v**5 + 6*v**4 + 31*v**5 - 30*v**4.
4*v**2*(v - 2)**3
Let z(n) = n**2 - 10*n. Let m(h) = -2*h**2 + 21*h - 1. Let w(k) = -2*m(k) - 5*z(k). Let q be w(8). Let -3/4*r**3 + 5/4*r**q - 1/2*r + 0 = 0. What is r?
0, 2/3, 1
Let k(m) be the third derivative of -m**7/1120 + 13*m**6/480 - 3*m**5/10 + 9*m**4/8 - 4*m**3 + m**2. Let b(n) be the first derivative of k(n). Factor b(z).
-3*(z - 6)**2*(z - 1)/4
Let n(u) = u**3 + u**2 - u - 1. Let g(y) = 4*y**3 + y**2 - 8*y + 3. Let s(t) = g(t) - 3*n(t). Suppose s(x) = 0. What is x?
-2, 1, 3
Let t(a) = 22*a**4 + 1765*a**3 - 706*a**2 + 74*a + 3. Let q(j) = 23*j**4 + 1765*j**3 - 707*j**2 + 73*j + 2. Let n(c) = -3*q(c) + 2*t(c). What is x in n(x) = 0?
-71, 0, 1/5
Suppose -84/5*m**3 + 8/5*m**5 + 0 - 4*m - 4*m**4 - 76/5*m**2 = 0. What is m?
-1, -1/2, 0, 5
Let k be -2*4*(105/12)/(-35). Let g(w) be the third derivative of -1/180*w**6 + 1/36*w**4 - 1/45*w**5 - 5*w**k + 0*w + 0 + 2/9*w**3. Let g(a) = 0. Calculate a.
-2, -1, 1
Suppose -17 = -3*m + 4*v, -6 + 1 = -5*v. Let c be ((-35)/20)/m*-1. Factor -4 + 2*o - c*o**2.
-(o - 4)**2/4
Let x(g) be the third derivative of g**9/6720 - g**8/2240 + g**7/2520 - 2*g**4/3 + 4*g**2. Let o(r) be the second derivative of x(r). Factor o(c).
c**2*(3*c - 2)**2/4
Suppose -2*r = 4*b - 16 + 2, -3*b = -2*r. Let -10*v**3 - v**2 + 6*v - 2*v**2 + 4*v**r + 3*v**4 = 0. Calculate v.
-1, 0, 1, 2
Let 3/8*t**3 - 81/4 + 153/8*t - 21/4*t**2 = 0. What is t?
2, 3, 9
Factor -14*u**2 - 8*u**3 - 16 + 13*u**4 + 44*u - 6*u**3 + 2*u**5 - 7*u**4 - 8*u.
2*(u - 1)**3*(u + 2)*(u + 4)
Solve -13/7*z + 6/7 + 1/7*z**3 + z**2 - 1/7*z**4 = 0 for z.
-3, 1, 2
Suppose 7 = -4*f - 3*v, -4*f + 5*v + 7 + 26 = 0. Factor -2*y**f + 7*y**2 - y**5 + 7*y**2 - 4*y - 13*y**3 + 6*y**4.
-y*(y - 2)**2*(y - 1)**2
Let 0 - 2/11*t - 4/11*t**2 - 2/11*t**3 = 0. Calculate t.
-1, 0
Let n(h) = -h**2 + h + 2. Let d be n(0). Let m(f) be the first derivative of 2*f**d - f**3 + 3 + 2*f - 11*f + 0*f**3 + 4*f**2. Solve m(q) = 0.
1, 3
Let v(g) = 3*g**4 + g**3 - 2*g**2 - 1. Let n(f) = 16*f**4 + 3*f**3 - 9*f**2 - 5. Let x(w) = n(w) - 5*v(w). Let x(k) = 0. Calculate k.
0, 1
Let s(c) be the first derivative of -c**4/18 + 4*c**3/9 + c**2 - 28*c/9 - 25. Find x, given that s(x) = 0.
-2, 1, 7
Suppose -9*l = -5 - 40. Let w(a) be the second derivative of a**4 + 1/5*a**l + 2*a**3 - 7*a + 2*a**2 + 0. Let w(i) = 0. Calculate i.
-1
Let x(p) = 35*p - 18. Let i be x(5). Suppose -i*n + n**2 + 161*n - n**2 + n**2 = 0. Calculate n.
-4, 0
Suppose 1500 = 25*r + 1425. Factor -2/3*z**r + 8/3*z**2 + 4/3 - 10/3*z.
-2*(z - 2)*(z - 1)**2/3
Let c = 177 + -192. Let x be -3 + (-57)/c - (-4)/70. Let -4/7 + x*o**2 + 10/7*o = 0. Calculate o.
-2, 1/3
Let q(o) be the second derivative of o**5/270 + o**4/27 - 5*o**3/27 + 4*o**2 - 17*o. Let x(j) be the first derivative of q(j). Factor x(m).
2*(m - 1)*(m + 5)/9
Let s be (-10)/25 - (-72)/80. Let b = 28 + -26. What is t in 3/2*t - 2 + s*t**b = 0?
-4, 1
Let d(p) be the first derivative of p**3/3 - 6*p**2 - 139. Factor d(s).
s*(s - 12)
Let c(k) be the second derivative of -8*k**2 - 30*k - 26/3*k**3 + 0 - 7/5*k**5 - 5*k**4 - 2/15*k**6. Determine f, given that c(f) = 0.
-4, -1
Let x(a) = -4*a + 33. Let w be x(7). Let f(g) = -7*g**3 + 2*g + 5. Let s(d) = 11*d**3 - 3*d - 8. Let t(l) = w*s(l) + 8*f(l). Factor t(y).
-y*(y - 1)*(y + 1)
Let k be (-19)/(-2)*250/7125. Factor 1/3*h**3 + h + h**2 + k.
(h + 1)**3/3
Let z(q) be the third derivative of 0*q + 0*q**4 + 0 + 9*q**2 - 1/70*q**7 - 1/2*q**3 + 0*q**6 + 1/10*q**5. Factor z(k).
-3*(k - 1)**2*(k + 1)**2
Let j(n) be the first derivative of -9*n**4/10 + 76*n**3/15 - 44*n**2/5 + 16*n/5 + 293. Factor j(z).
-2*(z - 2)**2*(9*z - 2)/5
Let c be ((-924)/(-495) + (-2)/3)/(6/20). Find y such that 0 - 3/4*y**2 - 3/4*y**3 - 1/4*y - 1/4*y**c = 0.
-1, 0
Let w be (1 - -1)/((-1)/15*-1). Let u be ((-6)/8)/(w*(-6)/192). What is z in 2*z**3 - 2*z - 4/5*z**2 + u = 0?
-1, 2/5, 1
Suppose -9 - 5 = -7*z. Suppose -3*s + 4*s = -2, -z*n - 2*s = -4. Solve 2/7*v**n - 2/7*v**3 + 0 - 2/7*v**2 + 2/7*v = 0.
-1, 0, 1
Let s be 436/(-545)*(-10)/24. Let 0*w**2 + 0*w + 0 - s*w**3 = 0. Calculate w.
0
Let s(b) be the first derivative of 49*b**5/30 - 7*b**4/3 - 32*b**3/3 - 32*b**2/3 - 28*b + 4. Let a(r) be the first derivative of s(r). Factor a(k).
2*(k - 2)*(7*k + 4)**2/3
Let w(d) be the second derivative of 2*d**7/21 + d**6/6 + d**5/20 - 7*d - 1. Let w(c) = 0. Calculate c.
-1, -1/4, 0
Let x be 56/12*(-2 + -2 + 10). Let k be ((-11)/(-6) - 2) + x/6. Suppose 3 + 9/2*b**3 - 3/2*b**2 - k*b - 3/2*b**4 = 0. Calculate b.
-1, 1, 2
Suppose y - 3 = t, 2*y - 4*t - 9 = t. Find o such that -o**3 + o**2 - 8*o**2 - 3*o**y - 5*o - 4*o**3 = 0.
-1, 0
Factor -3 - 4*a**3 + 5*a**3 + 0*a**3 - 20 + 2*a**2 + 5 - 9*a.
(a - 3)*(a + 2)*(a + 3)
Let l(a) = -a**3 + 5*a**2 + 4*a + 16. Let i be l(6). Solve -42*u**3 - 9*u**4 + 3*u**4 + 15*u**i + 24*u**2 = 0 for u.
0, 2/3, 4
Suppose 0*o = 4*o - 5*k, 0 = -2*o - 3*k. Let g(p) be the third derivative of -4*p**2 + o*p**3 + 1/600*p**6 + 0 + 1/30*p**4 + 0*p - 1/75*p**5. Factor g(u).
u*(u - 2)**2/5
Suppose 0 = 7*z - 10 - 4. Let u(o) be the second derivative of 3*o + 0*o**2 + 0 - 1/3*o**4 - z*o**3. Factor u(q).
-4*q*(q + 3)
Let n(k) be the third derivative of k**6/30 - 61*k**5/15 - 125*k**4/6 - 42*k**3 + 87*k**2. Suppose n(x) = 0. Calculate x.
-1, 63
Let f(k) = k**2 + 4*k + 2. Let t be f(-4). Let -2*v**t + 3*v - 228 + 3*v**2 + 228 = 0. What is v?
-3, 0
Suppose 18*q**2 + 87/2*q - 63 + 3/2*q**3 = 0. What is q?
-7, -6, 1
Suppose -2*o = -7*o + 20. Suppose 5*z - 279 + 189 = 0. Suppose -z - 4*y - o*y - 2*y**2 + 6*y - 10*y = 0. Calculate y.
-3
Solve -100*j + 4/7*j**5 + 184/7*j**3 - 52/7*j**4 + 40/7*j**2 - 500/7 = 0.
-1, 5
Let y be 18/3*20/20. Let c(f) be the second derivative of -1/45*f**6 - y*f + 4/9*f**3 + 2/15*f**5 + 0 - 1/3*f**2 - 1/3*f**4. Factor c(m).
-2*(m - 1)**4/3
Let o(a) be the first derivative of 5 + 0*a - 1/12*a**3 + 0*a**2. Factor o(l).
-l**2/4
Let p(j) = -2*j**2 - 11*j + 7. Let r be p(-7). Let z be (-34)/r - (-52)/91. Factor 2/7*o**5 + 32/7*o - 2*o**4 - 50/7*o**2 - 8/7 + 38/7*o**z.
2*(o - 2)**2*(o - 1)**3/7
Let n(q) be the second derivative of -5/12*q**4 + 3*q - 5/3*q**3 + 0 - 5/2*q**2. Factor n(m).
-5*(m + 1)**2
Let o(d) be the third derivative of -d**6/120 - 7*d**5/60 - 2*d**4/3 - 2*d**3 - 75*d**2 - d. Factor o(r).
-(r + 2)**2*(r + 3)
Factor 0*l - 1/5*l**2 + 1/5.
-(l - 1)*(l + 1)/5
Find y, given that -2/5*y**3 - 46/5*y + 2/5*y**4 - 4 - 6*y**2 = 0.
-2, -1, 5
Let m(z) be the first derivative of 7*z + 1/15*z**3 + 4 - 7/100*z**5 + 1/12*z**4 + 0*z**2. Let l(a) be the first derivative of m(a). Factor l(j).
-j*(j - 1)*(7*j + 2)/5
Let z be 8/200*2*5. Factor -2*d**2 - 6/5 + z*d**3 + 14/5*d.
2*(d - 3)*(d - 1)**2/5
Let v(l) be the third derivative of 0*l**3 - 5/24*l**6 - 1/6*l**5 - 11*l**2 + 0 + 0*l**4 + 0*l. Factor v(u).
-5*u**2*(5*u + 2)
Let f = 88 - 82. Let c be ((-16)/(-10))/(f/5). Find o, given that -4/3*o**4 + 0*o - 6*o**3 + c*o**2 + 6*o**5 + 0 = 0.
-1, 0, 2/9, 1
Let g = -6926 - -6929. Let 0 - 2/7*o**g - 2/7*o + 4/7*o**2 = 0. Calculate o.
0, 1
Find h, given that -10*h**2 - 8 + 12*h**2 - 2*h**3 + 18*h - 10*h = 0.
-2, 1, 2
Let q be 7/(-21) - (-16)/3. Suppose 2*z + 10 = 3*k, k + z = 4*k - q. Find f, given that 0*f**3 - f + f**3 + f**2 - 1 + k*f = 0.
-1, 1
Let j = -35911/3 - -11972. Suppose 0 + 1/3*b + 4/3*b**3 + j*b**2 = 0. What is b?
-1, -1/4, 0
Let a(b) = -b**4 - b**3 + 1. Let t(c) = 12*c**4 - 56*c**3 + 60*c**2 - 28*c + 8. Let m = -32 - -31. Let j(i) = m*t(i) + 4*a(i). Determine z so that j(z) = 0.
1/4, 1
Factor -3*h - 1/3*h**2 - 14/3.
-(h + 2)*(h + 7)/3
Let q(b) be the first derivative of 2*b**3/3 - 160*b**2 + 12800*b - 211. What is f in q(f) = 0?
80
Let r be -10 - -1 - (0 + 0). Let i = r + 11. Factor -18 + 13*o - o + 2*o**i - 4*o**2.
-2*(o - 3)**2
Let r(q) = -q**2 - 76*q - 913. Let y be r(-61). Let 2/11*f**5 - 4/11*f**y + 2/11*f**4 + 2/11 - 4/11*f**3 + 2/11*f = 0. What is f?
-1, 1
Determine z, given that -1/5*z**2 + 3/5 + 2/5*z = 0.
-1, 3
Let u = -4658 - -4