olve z(i) = 0 for i.
-2, -1
Find d, given that 2/5*d**4 + 4/5*d**3 - 4/5*d - 2/5 + 0*d**2 = 0.
-1, 1
Let i(u) be the third derivative of -u**5/105 - u**4/21 - 6*u**2. Let i(t) = 0. Calculate t.
-2, 0
Suppose -2*t + 5 = j, 4*t - 4*j = 49 - 21. Determine k so that 4/7 + 10/7*k**3 - 10/7*k + 2*k**t - 18/7*k**2 = 0.
-1, 2/7, 1
Determine y, given that -3/4 - 1/2*y**2 + 5/4*y = 0.
1, 3/2
Let m(g) be the third derivative of 0 - 1/24*g**4 + 1/2*g**3 - 2*g**2 + 1/10*g**5 + 0*g. Let h(r) = 9*r**2 - 2*r + 5. Let n(f) = 5*h(f) - 8*m(f). Factor n(c).
-(c + 1)*(3*c - 1)
Factor -80*o + 120*o**2 - 5*o**3 - o**5 - 4*o**5 - 28*o**4 - 2*o**4.
-5*o*(o - 1)**2*(o + 4)**2
Factor 2/5*f**5 + 0*f**2 + 0*f**4 + 0 - 2/5*f**3 + 0*f.
2*f**3*(f - 1)*(f + 1)/5
Let b(z) = -z**3 - z**2 + z - 1. Let d(p) = -4*p**2 + 8*p**2 - 24*p**3 + 2*p**3 - 12 + 20*p. Let v(x) = -12*b(x) + d(x). Solve v(y) = 0 for y.
-2/5, 0, 2
Let t be (-57)/(-9) - 1/3. Suppose -4*b + 10 = -t. Let 4/9*y**3 + 0*y**2 - 2/9 + 2/9*y**b - 4/9*y = 0. Calculate y.
-1, 1
Suppose -6/5*y**2 + 0*y + 0 = 0. Calculate y.
0
Let s(y) be the first derivative of -y**4/12 + y**2/6 + 12. Find x such that s(x) = 0.
-1, 0, 1
Let m(l) be the first derivative of -4*l**2 - 4/3*l**3 + 5 - 2/3*l**6 + 3*l**4 + 4/5*l**5 + 0*l. What is u in m(u) = 0?
-1, 0, 1, 2
Suppose -3*d + 6*w - 7*w + 13 = 0, 5*d + 5 = 5*w. Factor 0 + 1/4*f**5 + 0*f**2 + 0*f - f**4 + f**d.
f**3*(f - 2)**2/4
Suppose -3*v = 7 - 1. Let m be (-2)/(-9)*(5 + v). Factor m*n**3 + 0 - 4/3*n**2 + 2/3*n.
2*n*(n - 1)**2/3
Let p = 2 + -1. Let n be (-2 - 1)*(-1)/p. What is z in 0*z**4 + 2*z - 6*z**n + 5*z**2 + 4*z**5 - 3*z**2 - 2*z**4 = 0?
-1, -1/2, 0, 1
Let z(g) be the third derivative of -g**8/2240 - g**7/280 - g**6/120 - g**4/12 + 2*g**2. Let w(n) be the second derivative of z(n). Factor w(b).
-3*b*(b + 1)*(b + 2)
Let b(a) = a**2 - 7*a - 6. Let i be b(8). Let v(j) be the first derivative of -i + 2/27*j**3 + 2/9*j - 2/9*j**2. Find c such that v(c) = 0.
1
Let -2/7 - 2/7*h + 2/7*h**3 + 2/7*h**2 = 0. Calculate h.
-1, 1
Let t(m) be the second derivative of m**7/42 + m**6/24 - 3*m**5/80 - 5*m**4/48 - m**3/24 - 3*m. Solve t(o) = 0 for o.
-1, -1/4, 0, 1
Let l(b) be the second derivative of b**6/45 - b**5/15 + 5*b. Factor l(x).
2*x**3*(x - 2)/3
Let g(y) be the first derivative of 2*y**3/3 + 2*y**2 + 2. Solve g(s) = 0.
-2, 0
Let k(m) = m + 9. Let i be k(-7). Find g, given that 0 + 0*g + 0*g**3 + 1/6*g**i - 1/6*g**4 = 0.
-1, 0, 1
Let s(r) be the second derivative of 8/3*r**2 + 0 + 4/3*r**3 + 1/30*r**5 + 2*r + 1/3*r**4. Solve s(x) = 0.
-2
Suppose 3*s = -2*u + 7, 2*u + 5*s + 5 = 7*u. Suppose 1/3*i**u + 1/3*i - 2/3 = 0. What is i?
-2, 1
Let d(f) be the second derivative of -5*f**4/12 + 13*f. Factor d(p).
-5*p**2
Let d be ((-3)/(-54))/1*(-1 - -4). Let q(g) be the second derivative of -1/20*g**5 + 1/12*g**4 + 0 + d*g**3 - 1/2*g**2 - 4*g. Factor q(r).
-(r - 1)**2*(r + 1)
Find k, given that 8/7*k - 2/7*k**2 + 0 = 0.
0, 4
Let 9 - 3/2*h**2 + 15/2*h = 0. What is h?
-1, 6
Let s(i) be the first derivative of i**5/15 + i**4/6 - i**2/3 - i/3 - 11. Factor s(r).
(r - 1)*(r + 1)**3/3
Let y be -2*(-8)/16 + 2. Solve t**y + 1/3*t**5 - 1/3*t**2 + 0*t + 0 - t**4 = 0 for t.
0, 1
Suppose 0 + 3/7*l**2 + 27/7*l = 0. Calculate l.
-9, 0
Let q(v) be the third derivative of -v**7/525 + v**5/75 - v**3/15 + 8*v**2. Factor q(r).
-2*(r - 1)**2*(r + 1)**2/5
Suppose -4*k + 4 = -5*i, -i - 4*i - 5 = -5*k. Factor i - 2/7*s**3 + 4/7*s**4 + 0*s**2 - 2/7*s**5 + 0*s.
-2*s**3*(s - 1)**2/7
Let b(f) = f**4 - f**2 - f. Let w(l) = 9*l**2 + 4 - 3*l**4 - 5 + 6*l - l**2 - 4*l**4. Let d(u) = -6*b(u) - w(u). Factor d(o).
(o - 1)**2*(o + 1)**2
Factor -2/5*m**2 + 4/5 - 2/5*m.
-2*(m - 1)*(m + 2)/5
Let x be (-10)/45 + (-94)/(-18). Suppose u = -3, -3*o + 4*u + 13 = -x. Solve -5*t**o + 2*t**2 + t + 2*t = 0.
0, 1
Let g(r) be the third derivative of r**7/560 + r**6/320 - r**5/32 + 3*r**4/64 + 4*r**2. What is t in g(t) = 0?
-3, 0, 1
Factor 4*r**2 + 4*r - 4*r**2 - 4*r**2 - 4 + 4*r.
-4*(r - 1)**2
Let r(a) = -a + 1. Let z(x) = -7*x + 13. Let j(u) = -6*r(u) + z(u). Let s be j(7). What is n in 0 - 2/7*n**5 + s*n**2 - 2/7*n**3 + 4/7*n**4 + 0*n = 0?
0, 1
Let w(a) be the first derivative of 1/21*a**3 + 1/28*a**4 - 1/14*a**2 - 2 - 1/7*a. Determine z, given that w(z) = 0.
-1, 1
Suppose 2*y = 4*f - 20, 2*f - 3*f + 5 = -3*y. Suppose 0 = -y*z - z. Suppose 2*a**3 + a + z + 0 + a**5 - 4*a**3 = 0. What is a?
-1, 0, 1
Let k(r) be the third derivative of -r**6/24 - r**5/3 + 25*r**4/24 + 14*r**2. Factor k(v).
-5*v*(v - 1)*(v + 5)
Let u(v) be the third derivative of 1/480*v**6 + 0 + 0*v + 2*v**2 - 1/60*v**5 - 1/12*v**3 + 5/96*v**4. Find m such that u(m) = 0.
1, 2
Let t(s) be the second derivative of -s**6/90 - s**5/30 + s**3/9 + s**2/6 + 2*s. Find d, given that t(d) = 0.
-1, 1
Let l(u) be the third derivative of 1/96*u**4 + 1/120*u**5 - 1/420*u**7 + 0*u**6 - 1/1344*u**8 + 0*u**3 + 0*u + 0 - 2*u**2. Find o such that l(o) = 0.
-1, 0, 1
Let r be (-1 + (-12)/(-4))*8. Factor 4*s**2 + 4*s - r - 5*s**2 - 12*s.
-(s + 4)**2
Suppose -5 + 5 = -9*p. Let r(b) be the third derivative of 0*b + 1/120*b**6 - b**2 + p + 0*b**3 - 1/60*b**5 + 0*b**4. Factor r(x).
x**2*(x - 1)
Suppose v = -3*v - 32. Let t be 10/v*(-9)/5. Determine o so that 1/4*o**4 + 1/2 + t*o**2 + 5/4*o**3 + 7/4*o = 0.
-2, -1
Let a(y) be the third derivative of -y**8/1512 - 2*y**7/945 + y**6/180 + 2*y**5/135 - y**4/27 + 8*y**2. Factor a(x).
-2*x*(x - 1)**2*(x + 2)**2/9
Let q be 88/(-36) + 3 + 2/(-6). Let q*r - 2/9 + 4/9*r**2 = 0. What is r?
-1, 1/2
Let c = 33 + -74. Let v = c - -206/5. Factor -8/5*j**3 + 16/5*j**4 - 3*j**2 - v + 8/5*j.
(j - 1)*(j + 1)*(4*j - 1)**2/5
Solve 3/5*d**2 + 6/5*d + 3/5 = 0.
-1
Factor 8 - 2 + 147*k - 138*k + 3*k**2.
3*(k + 1)*(k + 2)
Let d(a) = -a + 9. Let r be d(7). Suppose 1 = -5*n + 26. Find t, given that -4*t - n*t**2 - 2 + t**r + 2*t**2 = 0.
-1
Find s, given that -4/7*s**5 + 8/7*s**2 + 0 - 8/7*s**4 + 4/7*s + 0*s**3 = 0.
-1, 0, 1
Suppose 13/4*h - 2*h**2 + 1/4*h**3 - 3/2 = 0. What is h?
1, 6
Let c be 2*24/(-80)*5*-1. Let m(o) be the first derivative of -1/20*o**5 + 0*o**2 + 4 + 1/16*o**4 + 0*o + 0*o**c. Let m(x) = 0. What is x?
0, 1
Let l(g) be the second derivative of -g**6/540 + g**5/270 + g**4/54 - 3*g**2/2 - 4*g. Let i(p) be the first derivative of l(p). Solve i(c) = 0.
-1, 0, 2
Let h(w) = w**2 + 2*w. Let d(g) = -g**2 - 3*g. Let r be 39/12 + 1/(-4). Let a(b) = r*h(b) + 2*d(b). Factor a(y).
y**2
Factor 2/13*c**2 - 2/13*c**3 + 0 + 2/13*c - 2/13*c**4.
-2*c*(c - 1)*(c + 1)**2/13
Let k(v) be the first derivative of 0*v**2 + 0*v**3 + 1/3*v**6 - 2 + 0*v - 1/2*v**4 + 0*v**5. Suppose k(o) = 0. Calculate o.
-1, 0, 1
Let i(j) be the second derivative of -j**5/15 + j**4/18 + 8*j**3/9 - 4*j**2/3 + 15*j. Factor i(g).
-2*(g - 2)*(g + 2)*(2*g - 1)/3
Let s(q) be the second derivative of -q**7/1575 - q**6/1800 - q**4/6 - 2*q. Let d(t) be the third derivative of s(t). Determine b, given that d(b) = 0.
-1/4, 0
Let f(n) be the third derivative of -2*n**7/21 + 5*n**6/24 - n**5/12 - 4*n**2. Factor f(w).
-5*w**2*(w - 1)*(4*w - 1)
Let o = 111/7 - 109/7. Let k be (8/12)/(7/6). Let -o*a**3 - 6/7*a**2 - 2/7*a + 0 + k*a**5 + 6/7*a**4 = 0. Calculate a.
-1, -1/2, 0, 1
Let h(r) = 10*r + 63. Let n be h(-6). Let q be 6/(-15) - 4/(-10). Factor 0 + q*m + 0*m**4 + m**n - 1/3*m**5 + 2/3*m**2.
-m**2*(m - 2)*(m + 1)**2/3
Factor 4*a**3 - 5*a + 0*a**3 - 6*a - 5*a.
4*a*(a - 2)*(a + 2)
Let q(v) = v**2 - 19*v + 60. Let n be q(15). Factor -1/2*o**2 + n + 1/2*o.
-o*(o - 1)/2
Let y(q) be the second derivative of 7*q**4/12 + q**3/6 + 7*q**2/2 - 3*q. Let t(w) = -3*w**2 - 3. Let n(v) = 13*t(v) + 6*y(v). Find g such that n(g) = 0.
-1
Let g(a) be the third derivative of a**8/1680 - a**6/60 - a**5/15 - a**4/4 - 4*a**2. Let b(c) be the second derivative of g(c). Find v, given that b(v) = 0.
-1, 2
Let u(h) = 0 + 0 - h + 2 + h**2 + h**3. Let j be u(0). Factor -28 + j*i + 28 - 5*i - 3*i**5 + 6*i**3.
-3*i*(i - 1)**2*(i + 1)**2
Let b be (-4)/(-14) - (-2)/(-7). Suppose b = -k + 4*k. What is u in 0*u**3 - 2/9 + 4/9*u**2 + k*u - 2/9*u**4 = 0?
-1, 1
Let v be (10/6)/(1/3). Suppose -2*a - n - 4*n = -13, v*a - 4*n - 16 = 0. Solve -2 - 7*m**a + 6*m**4 + 2 - m**3 = 0 for m.
-1, 0
Let o be (-5)/((-45)/42) - 3. Let m = o + -7/6. Factor 1/2 - m*v**2 + 