 - 1. Let z be n(b). Let 3*j**2 + j**3 - 4*j**z - 2*j**3 = 0. Calculate j.
-1, 0
Let t(z) be the first derivative of z**5/15 - z**3/9 - 1. Factor t(o).
o**2*(o - 1)*(o + 1)/3
Factor -2/3*j**3 - 1/6 - 3/2*j**2 - j.
-(j + 1)**2*(4*j + 1)/6
Let x be (-2 - -5) + (-10)/10. Find u such that 0*u**4 - 1/4*u**5 - 1/4*u + 0*u**x + 0 + 1/2*u**3 = 0.
-1, 0, 1
Determine m, given that 0 + 3/7*m**3 - 1/7*m + 2/7*m**2 = 0.
-1, 0, 1/3
Let o be 45/(-18)*(-12)/5. Determine q so that 0*q**2 + 3 - o*q - 2*q**2 - 6 - q**2 = 0.
-1
Let f(o) = 6*o**3 - 7*o**2 - 6*o. Let u(z) = -z**3 + z**2 + z. Let l(p) = 2*f(p) + 14*u(p). Factor l(b).
-2*b*(b - 1)*(b + 1)
Let d(m) = m - 6. Let l be d(6). Let t = 8/5 - 19/15. Factor -2/3 + t*p**3 + l*p**2 - p.
(p - 2)*(p + 1)**2/3
Let x(n) be the first derivative of n**3/3 + n**2/2 + 1. Factor x(s).
s*(s + 1)
Let z be 6 + 1/(-3)*9. Find f, given that -3/4*f**z - 2*f**2 - 7/4*f - 1/2 = 0.
-1, -2/3
Let k(i) = 20*i**3 + 58*i**2 + 24*i - 10. Let d(h) = 100*h**3 + 291*h**2 + 118*h - 51. Let s(c) = -2*d(c) + 11*k(c). Factor s(u).
4*(u + 1)*(u + 2)*(5*u - 1)
Suppose f = 5*f - 12. Suppose 34*p**f + 4*p**5 + 16*p**2 + 5*p + 16*p**4 - 10*p**3 - p = 0. Calculate p.
-1, 0
Let f = 68 - 68. Factor 2/7*o**4 - 2/7*o**3 + f + 0*o + 0*o**2.
2*o**3*(o - 1)/7
Suppose 0 = -4*t + 3*y + 13, 5*y - 24 = -4*t - 3. Let r be t/(-10) + 1798/145. Factor -135*x**2 + 243/2*x**3 - 81/2*x**4 + 66*x - r.
-3*(x - 1)*(3*x - 2)**3/2
Let c be 2/(-9) - (-51)/108. Let n be ((1 + -1)/(-19 - -14))/1. Factor c*x**2 + n*x - 1/4.
(x - 1)*(x + 1)/4
Factor 3*w + 0*w**2 - 3*w**3 + w**2 - 3*w**4 + 2*w**2.
-3*w*(w - 1)*(w + 1)**2
Let -2 + 60*i**4 + 2285*i**5 + 60*i**3 - 2269*i**5 + 8*i**3 + 23*i**2 - 3*i = 0. What is i?
-2, -1, -1/2, 1/4
Let p(f) be the second derivative of f**8/6720 + f**7/1680 + f**6/1440 + 2*f**3/3 + 2*f. Let b(j) be the second derivative of p(j). Suppose b(x) = 0. What is x?
-1, 0
Factor 2*o + 6 - 23*o**2 + 25*o**3 - 27*o**3 + 17*o**2.
-2*(o - 1)*(o + 1)*(o + 3)
Suppose 9*j - 8*j = -6*j. Factor j - 2/5*z**4 - 16/5*z**2 + 8/5*z + 2*z**3.
-2*z*(z - 2)**2*(z - 1)/5
What is b in -2/3*b**4 + 0 - 8/3*b**3 + 0*b + 8/3*b**2 + 2/3*b**5 = 0?
-2, 0, 1, 2
Let q be 10/6 + 4/(-6). Let z(n) = 7*n**2 - 3*n + 1. Let d(t) = t**2 - t + 1. Let y(j) = q*z(j) - 5*d(j). Factor y(l).
2*(l - 1)*(l + 2)
Determine g so that -2/7*g**2 + 8/7*g**5 - 8/7*g**3 + 0*g + 0 + 2/7*g**4 = 0.
-1, -1/4, 0, 1
Let h(b) = b + 17. Let u be h(-9). Let n = u + -4. Factor -5*r - 3*r - 4 + 5*r**n + 7*r**3 + 5*r**5 - 4*r**5 - r**2.
(r - 1)*(r + 1)**2*(r + 2)**2
Let i(n) = -2*n - 7. Let w be i(-5). Suppose -3*o - 4*v - 1 + 3 = 0, -2*v = -w*o + 8. Suppose 3 - m - o*m**2 + 1 + 2*m - 3*m = 0. What is m?
-2, 1
Let v(q) be the first derivative of 1/150*q**5 + 0*q + 1/60*q**4 + 3/2*q**2 - 3 - 2/15*q**3. Let k(r) be the second derivative of v(r). What is b in k(b) = 0?
-2, 1
Let z(h) = 17*h - 70*h**2 - 11 + 24*h - 49*h**3 + 11*h. Suppose 0 = -x + 3 - 6. Let u(p) = 1. Let v(w) = x*u(w) - z(w). Factor v(i).
(i + 2)*(7*i - 2)**2
Suppose y - 5*h - 7 - 3 = 0, -y + 2*h - 5 = 0. Let v be 2/(-6) + (-17)/y. Factor 2/5*x**2 - v*x**3 + 4/5*x + 0 - 2/5*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/5
Let m(w) be the third derivative of 3*w**8/280 + w**7/35 + w**6/45 - w**3/2 - 5*w**2. Let c(n) be the first derivative of m(n). Factor c(f).
2*f**2*(3*f + 2)**2
Suppose -120 = -11*n + 6*n. Let d = n - 71/3. Factor d - 2/3*o - o**2.
-(o + 1)*(3*o - 1)/3
Let d be (-68)/(-140) - 1/5. Suppose -6/7*c**2 + 0 + d*c - 2/7*c**4 + 6/7*c**3 = 0. Calculate c.
0, 1
Let o(k) be the second derivative of -k**6/36 + 7*k**5/60 - k**4/6 + 2*k**3/3 + 3*k. Let h(g) be the second derivative of o(g). What is l in h(l) = 0?
2/5, 1
Suppose 0*y - 6/7*y**2 - 2/7*y**4 + 0 - 8/7*y**3 = 0. Calculate y.
-3, -1, 0
Let a(c) be the first derivative of 2*c**3/3 - 4*c**2 - 15. Factor a(u).
2*u*(u - 4)
Let n = -29 + 88/3. Suppose 0 - n*a + 2/3*a**2 = 0. Calculate a.
0, 1/2
Let s be (3/8)/((-9)/(-2) - 3). Let h(r) be the first derivative of -2/3*r**3 - s*r**4 + 1 + 0*r - 1/2*r**2. Let h(w) = 0. Calculate w.
-1, 0
Suppose -4*g**4 - g**4 + 8*g**2 - 20*g**3 - 28*g**2 = 0. What is g?
-2, 0
Let p(s) be the third derivative of 2*s**2 - 1/18*s**4 - 1/90*s**5 + 0*s**3 + 0*s + 0. Factor p(a).
-2*a*(a + 2)/3
Let j(t) be the first derivative of -32*t**5/75 + 4*t**4/15 - 2*t**3/45 - 12. Factor j(h).
-2*h**2*(4*h - 1)**2/15
Let c(x) be the first derivative of x**2/2 - 11*x - 8. Let k be c(13). Let 1/2*a - 1/4 - 1/4*a**k = 0. What is a?
1
Factor -1/5*n**3 - 3/5*n**2 + 4/5 + 0*n.
-(n - 1)*(n + 2)**2/5
Let o(j) = j**2 + 6*j + 2. Let m be o(-6). Factor 7*l + 2 + 2*l**4 + 7*l**2 + 8*l**3 + l + 5*l**m.
2*(l + 1)**4
Factor -80*a + 5*a**4 - 30*a**3 + 20*a + 65*a**2 + 2 + 18.
5*(a - 2)**2*(a - 1)**2
Factor 37*f**2 + 32*f**2 - 2*f + 4 - 71*f**2.
-2*(f - 1)*(f + 2)
Let m be 30/51*(42/30 + -1). Determine g, given that -2/17 + 4/17*g**3 + 6/17*g**4 - m*g**2 - 6/17*g + 2/17*g**5 = 0.
-1, 1
Let h(n) = -6*n**4 - 2*n**3 - 2*n**2 + 2*n. Let c(i) = i**4 + i**2. Let z(u) = u - 9. Let v be z(8). Let w(t) = v*h(t) - 4*c(t). Factor w(j).
2*j*(j - 1)*(j + 1)**2
Let o(b) be the first derivative of 1/16*b**4 - b - 1/80*b**5 - 1/8*b**3 - 2 + 1/8*b**2. Let t(v) be the first derivative of o(v). Factor t(j).
-(j - 1)**3/4
Let o be (-128)/(-28) + (-1 - (1 - -2)). Factor o*u**2 + 0 + 2/7*u**3 + 2/7*u.
2*u*(u + 1)**2/7
Let h(w) be the second derivative of -7*w**4/72 + w**3/3 + w**2/3 - 43*w. Solve h(i) = 0.
-2/7, 2
Suppose 5*j - 11 = -d, 2*j + d = -j + 7. Let k(b) be the first derivative of -2/21*b**3 + 0*b - j + 0*b**2. Factor k(l).
-2*l**2/7
Let x be 20*(-36)/(-384) - 1/(-8). Let l = 155/3 - 51. Solve 4/9*t**3 - 2/3*t + 4/9*t**x + 2/9*t**5 + 2/9 - l*t**4 = 0 for t.
-1, 1
Let d = 7 + -7. Let o(r) be the second derivative of 0*r**2 + 0 - 1/45*r**5 + 1/135*r**6 + 1/54*r**4 + r + d*r**3. Factor o(a).
2*a**2*(a - 1)**2/9
Let k(g) = 12*g**3 - g**2. Let l(u) = 156*u**3 - 12*u**2. Let s(t) = -27*k(t) + 2*l(t). Suppose s(p) = 0. Calculate p.
0, 1/4
Let d(r) be the first derivative of -r**6/66 + 3*r**5/55 + r**4/44 - 7*r**3/33 + 4*r/11 + 8. Suppose d(l) = 0. Calculate l.
-1, 1, 2
Let u(s) be the second derivative of 1/60*s**4 - 3/100*s**5 + 0 + 0*s**2 - 2*s + 0*s**3 - 1/210*s**7 + 1/50*s**6. Suppose u(y) = 0. What is y?
0, 1
Let -4/3*m**2 + 2/3*m**4 + 0*m + 0*m**3 + 2/3 = 0. Calculate m.
-1, 1
Let -14/9*i**4 - 38/9*i**3 + 8/9*i - 16/9*i**2 + 0 = 0. Calculate i.
-2, -1, 0, 2/7
Let c(v) be the second derivative of 0 + 1/54*v**4 + 2/27*v**3 + 2*v + 1/9*v**2. Solve c(f) = 0 for f.
-1
Let m(n) be the second derivative of 0*n**4 + n + 2/3*n**3 + 0 - 1/5*n**5 + 1/15*n**6 - n**2. Let m(x) = 0. Calculate x.
-1, 1
Let -2/15*f**5 - 2/3*f**2 + 32/15*f - 14/15*f**4 - 2*f**3 + 8/5 = 0. Calculate f.
-3, -2, -1, 1
Factor 8*l**2 - 7*l**5 + 72*l**3 - 4*l - 4*l**4 - 4 + 3*l**5 - 64*l**3.
-4*(l - 1)**2*(l + 1)**3
Suppose -273*h**2 + 278*h**2 - 1 + 11 - 15*h = 0. Calculate h.
1, 2
Let t(o) be the third derivative of -7*o**5/270 - 11*o**4/36 + 10*o**3/27 + 4*o**2 + 2. Factor t(s).
-2*(s + 5)*(7*s - 2)/9
Let d(b) be the second derivative of -2*b**7/21 + 2*b**6/3 - 4*b**5/5 + 34*b. Solve d(o) = 0.
0, 1, 4
Let k(t) = -t**2 - 11*t + 9. Let l be k(-11). Determine x so that 12*x**3 + 12*x + 25*x**2 + 3*x**4 - 6*x**3 + l*x**3 - x**2 = 0.
-2, -1, 0
Let y(n) be the first derivative of -3*n**5/10 - 33*n**4/8 - 27*n**3/2 - 75*n**2/4 - 12*n + 57. Suppose y(h) = 0. Calculate h.
-8, -1
Determine f so that 1/2*f + 1/3 - 1/6*f**3 + 0*f**2 = 0.
-1, 2
Suppose 0*s + 6*s = 12. Let p(j) be the second derivative of -j - 1/36*j**4 + 0*j**s + 1/60*j**5 + 0 + 0*j**3. Factor p(m).
m**2*(m - 1)/3
Let i = 2 + -2. Let n(c) be the second derivative of -2*c**2 + 1/6*c**4 - 2*c + 1/3*c**3 + i. Find r, given that n(r) = 0.
-2, 1
Let m be (6/(-5))/(14/(-35)). Solve 9/2*d - m - 3/2*d**2 = 0.
1, 2
Let k(r) be the first derivative of -2/9*r**3 - 1/9*r**2 - 2/45*r**5 + 0*r - 3 - 1/6*r**4. Factor k(f).
-2*f*(f + 1)**3/9
Let h(k) be the first derivative of k**7/210 + k**6/120 - k**5/60 - k**4/24 - k**2 + 3. Let s(a) be the second derivative of h(a). Factor s(j).
j*(j - 1)*(j + 1)**2
Solve -14*y**2 + 205 + 16*y + y**3 - 215 + 6*y + y**3 = 0.
1, 5
Suppose a = -0*a + 2. Factor -27 - 7*g**2 + 9*g 