 b(v) = 0 for v.
1, 5
Factor 0*d + 1/4*d**2 - 1.
(d - 2)*(d + 2)/4
Determine x, given that -4/3*x**2 + 0*x + 0 = 0.
0
Suppose 15*i = 30 + 15. Find q such that -3/4*q**i - 3/4*q**2 + 0*q + 0 = 0.
-1, 0
Let z(x) be the third derivative of 2*x**7/35 - 13*x**6/40 - x**5/20 + 13*x**4/8 - 3*x**3/2 - 38*x**2. Determine g, given that z(g) = 0.
-1, 1/4, 1, 3
Let w(n) = 8*n**3 + n**2 - 12*n + 7. Let i(o) be the second derivative of 9*o**5/20 - 2*o**3 + 3*o**2 - o. Let b(f) = 4*i(f) - 3*w(f). Factor b(g).
3*(g - 1)*(g + 1)*(4*g - 1)
Let d be 1 - ((3 - 3) + -7). Suppose 4*z + 0 = d. Find i, given that -i + 4*i**2 - 2*i**2 - 5*i**z = 0.
-1/3, 0
Suppose 0 = -5*i + 2*i + 4*t + 6, -2*i - 3*t = -4. Let f(c) be the first derivative of 1/4*c**4 + i + 0*c**3 + 0*c - 1/2*c**2. Find x, given that f(x) = 0.
-1, 0, 1
Let u(t) = -t + 9. Let p be u(3). Let m(b) be the first derivative of -8/35*b**5 - 8/21*b**3 - 1/21*b**p - 1/7*b**2 + 0*b + 2 - 3/7*b**4. Factor m(r).
-2*r*(r + 1)**4/7
Determine q, given that -25*q**2 - 1 + 11 - 5*q + 0*q - 32*q**3 + 22*q**3 = 0.
-2, -1, 1/2
Suppose 0 = -3*n + 2*n. Let c(z) be the third derivative of -1/240*z**5 + 0*z**3 + 1/1344*z**8 + 0*z**4 + n*z - 1/280*z**7 - z**2 + 1/160*z**6 + 0. Factor c(u).
u**2*(u - 1)**3/4
Let t(f) be the second derivative of -f**4/12 + f**3/6 + f**2 + 3*f. Factor t(g).
-(g - 2)*(g + 1)
Let u = 25 - 22. Suppose 6*k**3 - 2*k**3 - 2*k**2 - u*k**3 + 0*k**2 = 0. Calculate k.
0, 2
What is v in 0*v**2 + v - 30 + 2*v**2 - v**3 + 28 = 0?
-1, 1, 2
Let d = -4372/5 - -875. Let l(v) = -v + 9. Let p be l(7). Factor 3/5*c**3 - d*c + 0 + 0*c**p.
3*c*(c - 1)*(c + 1)/5
Let u be 2/5 - 38/95. Let k(n) be the second derivative of 0*n**5 + 0*n**3 - 1/45*n**6 + 0*n**2 + 0*n**4 + u + 2*n + 1/63*n**7. Factor k(a).
2*a**4*(a - 1)/3
Let p(v) be the first derivative of -9/4*v**4 - 4 + 9/5*v**5 + v**3 + 0*v**2 + 0*v - 1/2*v**6. Factor p(z).
-3*z**2*(z - 1)**3
Determine g, given that 100*g**2 - g**3 + 12*g**2 + 4*g**4 + 64 - 35*g**3 - 152*g + 8*g = 0.
1, 2, 4
Let v be (-4)/(-1) - (-4)/(-16)*10. Find x, given that 3*x**3 - 3*x + 3/2 - v*x**2 = 0.
-1, 1/2, 1
Suppose -y + 6*y + 35 = 0. Let d = y + 7. Factor 1/4*t**3 + d - 1/2*t**4 + 0*t**2 + 1/4*t**5 + 0*t.
t**3*(t - 1)**2/4
Let d(s) = -s + 7. Let u be d(4). Factor 0*a**3 - a**3 + u*a**2 - a - a**2.
-a*(a - 1)**2
Let a(t) be the third derivative of 2*t**2 + 1/840*t**7 + 0 - 1/160*t**6 + 0*t**3 + 1/448*t**8 + 0*t**4 + 0*t - 1/240*t**5. Find h, given that a(h) = 0.
-1, -1/3, 0, 1
Suppose -4*k - 3*d = -14, -4 = -5*k + 2*k + d. Let n(g) = g + 1. Let i(x) = 3*x**2 + 2*x - 1. Let f(v) = k*n(v) - i(v). Solve f(b) = 0.
-1, 1
Let l(o) = -2*o**3 + 2*o**2 + 4*o - 2. Let n(s) = s**2 + s - 1. Let z(m) = l(m) - 2*n(m). Factor z(j).
-2*j*(j - 1)*(j + 1)
Let u = 1150/867 + 2/289. What is t in 1/3*t**3 + u*t**2 + 4/3*t + 0 = 0?
-2, 0
Let s(q) be the first derivative of 5*q**4/4 - 2*q**3 - q**2/2 + 2. Let z(o) = 6*o**3 - 7*o**2 - 2*o. Let k(c) = 3*s(c) - 2*z(c). Factor k(b).
b*(b - 1)*(3*b - 1)
Let x(a) = 0 + 2 - 3*a**2 + a**3 + 5*a**3 - 2*a**3. Let t be x(2). Let -t*w + 31*w + 52*w - 162*w**2 - 8 + 11*w = 0. What is w?
2/9
Let s be 19/5 - 1/(-5). What is v in -2*v**2 - 3*v**3 + 0*v + 4*v + s*v**3 - 3*v = 0?
0, 1
Suppose -4*t**2 + 32*t + 7*t - 16 - 19*t = 0. What is t?
1, 4
Let l(m) be the second derivative of 3*m**5/20 - m**3/2 - 8*m. Determine j, given that l(j) = 0.
-1, 0, 1
Let k(a) be the first derivative of 1/5*a**2 + 0*a**3 - 1/5*a + 1/25*a**5 - 1/10*a**4 - 1. Factor k(f).
(f - 1)**3*(f + 1)/5
Let n = 17/60 - -1/20. Let t(w) be the first derivative of 0*w + 0*w**2 - n*w**6 + 0*w**3 - 1/4*w**4 + 3 - 3/5*w**5. Find h such that t(h) = 0.
-1, -1/2, 0
Solve -50 - 9*c**3 - 10*c**2 - 15*c**4 + 50 - 16*c**3 = 0.
-1, -2/3, 0
Let r(g) be the first derivative of -2*g**6/3 - 24*g**5/5 - 13*g**4 - 16*g**3 - 8*g**2 - 6. Determine s so that r(s) = 0.
-2, -1, 0
Let z(m) be the third derivative of -m**8/1680 - 3*m**7/350 - 4*m**6/75 - 14*m**5/75 - 2*m**4/5 - 8*m**3/15 + 6*m**2. Factor z(d).
-(d + 1)*(d + 2)**4/5
Let l = 3 - -2. Suppose 2*s - 23 = -3*z, -s + 4*z - 2 = z. Determine d, given that -d**3 - d**2 + d**4 - l*d - d + s*d = 0.
-1, 0, 1
Let d(v) be the third derivative of -v**6/180 - 2*v**5/45 - 5*v**4/36 - 2*v**3/9 - 7*v**2. Factor d(s).
-2*(s + 1)**2*(s + 2)/3
Solve -8/5*b**2 + 4/5*b**4 - 6/5*b**3 + 4/5 + 6/5*b = 0.
-1, -1/2, 1, 2
Let u(k) be the first derivative of -k**3/3 - k**2 - 8. What is y in u(y) = 0?
-2, 0
Suppose -20*w + 3 = -19*w. What is l in -3*l + 0 + 3/2*l**4 - 3/2*l**2 - 9/2*l**5 + 15/2*l**w = 0?
-1, -2/3, 0, 1
Let x = -6 - -8. Let s be -3*(x + -3) + -1. Factor -1/2*t**s + 0*t + 1/2.
-(t - 1)*(t + 1)/2
Let a be ((-4)/(-3) - 0)*-3. Let y be (-1)/a - (-14)/8. Determine p, given that 0*p**3 - p**y + 3*p**3 - 4*p**3 = 0.
-1, 0
Let l(h) be the first derivative of h**8/112 - h**7/70 - h**6/40 + h**5/20 + 3*h**2/2 - 5. Let w(f) be the second derivative of l(f). Factor w(z).
3*z**2*(z - 1)**2*(z + 1)
Let m(t) be the second derivative of -t**6/1980 + t**5/660 + t**4/66 - 5*t**3/6 - 7*t. Let q(w) be the second derivative of m(w). Let q(u) = 0. Calculate u.
-1, 2
Let h be (-22)/(-10) - (-24)/(-30). Let y(x) be the first derivative of 2*x**3 + 2/5*x + 8/25*x**5 + 3 - 13/10*x**4 - h*x**2. Factor y(l).
2*(l - 1)**3*(4*l - 1)/5
Let l(k) be the second derivative of k**5/4 + 5*k**4/3 + 5*k**3/2 + 8*k. Let l(m) = 0. What is m?
-3, -1, 0
Let i(n) be the first derivative of -49*n**5/20 - 77*n**4/16 - 8*n**3/3 - n**2/2 + 11. Factor i(v).
-v*(v + 1)*(7*v + 2)**2/4
Let o(j) = -6*j**3 + 6*j**2 + 6*j - 16. Let h(p) = -3*p**2 + 5 - 2*p - 2*p**2 + 2*p**3 + 3*p**2. Let f(a) = 10*h(a) + 3*o(a). Solve f(r) = 0 for r.
-1, 1
Suppose -48*t - 4*t**4 + 21*t**2 - 13 - 24*t**3 - 3 - 46*t**2 - 27*t**2 = 0. What is t?
-2, -1
Let t(h) = -3*h**2 + 15*h + 20. Let k(f) = f**2. Let n(g) = 2*k(g) - t(g). Find j, given that n(j) = 0.
-1, 4
Let h be (-1)/(-2) - 10/(-4). Let o be 5 - 4/(1 - -3). Factor -z**2 + 3*z**3 + 10*z**o - 2*z**h - z - 9*z**4.
z*(z - 1)*(z + 1)**2
Let i(f) = -f**4 + f**2 + f - 1. Let s(y) = -12*y**3 - 16*y**2 - 8*y + 4. Let c(d) = -4*i(d) - s(d). Solve c(h) = 0.
-1, 0
Let a(c) be the third derivative of -c**7/42 - c**6/8 - c**5/4 - 5*c**4/24 + 4*c**2. Factor a(n).
-5*n*(n + 1)**3
Let z(q) be the third derivative of -q**6/6 - 8*q**5/15 + 19*q**4/6 - 4*q**3 - 23*q**2. Factor z(o).
-4*(o - 1)*(o + 3)*(5*o - 2)
Factor 3/2*p**2 - 3/4*p**3 + 0 + 0*p.
-3*p**2*(p - 2)/4
Let y(m) = -m**4 + 4*m**3 + 3*m + 3. Let x(a) = -3*a**4 + 11*a**3 + 8*a + 8. Let f(n) = -3*x(n) + 8*y(n). Let f(q) = 0. Calculate q.
0, 1
Let c(a) be the second derivative of -a**7/1155 - a**6/660 - a**2 - 8*a. Let r(d) be the first derivative of c(d). Solve r(y) = 0 for y.
-1, 0
Suppose -3*f = 5*u - 1554, -1566 = -5*u + f + 2*f. Let c = -2180/7 + u. Factor 0 - 2/7*m**3 - 2/7*m + c*m**2.
-2*m*(m - 1)**2/7
Let d(u) be the third derivative of 0*u**5 + 6*u**2 + 1/180*u**6 + 0*u + 0*u**4 + 0*u**3 + 0 - 1/315*u**7. Solve d(y) = 0 for y.
0, 1
Let d(i) be the first derivative of -27/10*i**4 + 46/25*i**5 + 0*i + 3 - 7/15*i**6 + 26/15*i**3 - 2/5*i**2. What is b in d(b) = 0?
0, 2/7, 1
Factor 1/4 - 3/2*d**2 - 5/4*d.
-(d + 1)*(6*d - 1)/4
Let j(p) be the second derivative of p**4/48 + 13*p**3/24 + 38*p. Solve j(w) = 0 for w.
-13, 0
Let p = 5 + -3. Determine z so that -9*z + 24*z**p + 2*z + 2 + 16*z**3 - 2*z - 6*z = 0.
-2, 1/4
Let o(t) be the second derivative of -t**8/6720 - t**4/6 + 3*t. Let i(c) be the third derivative of o(c). Factor i(h).
-h**3
Let o(u) be the second derivative of -u**7/231 - 2*u**6/55 - 13*u**5/110 - 2*u**4/11 - 4*u**3/33 - 17*u. Determine f, given that o(f) = 0.
-2, -1, 0
Let a(r) be the second derivative of -5/21*r**3 + 0 + r - 1/105*r**6 + 1/70*r**5 + 2/7*r**2 + 1/14*r**4. Factor a(z).
-2*(z - 1)**3*(z + 2)/7
Suppose -32 = -t - 3*w, -3*t - 2*w - 3*w = -100. Let v = -33 + t. Factor 4/7*d + 0 + 2/7*d**v.
2*d*(d + 2)/7
Let o(c) = 4*c**4 + 8*c**3 + 4*c**2 - 2. Let f(b) = b**4 + b**3 - 1. Let d(g) = 4*f(g) - 2*o(g). Factor d(k).
-4*k**2*(k + 1)*(k + 2)
Let x = -76 + 229/3. Let t(d) be the third derivative of -1/15*d**6 + x*d**4 + 0 + 1/35*d**7 - 1/15*d**5 - 1/3*d**3 - 2*d**2 + 0*d. Solve t(h) = 0.
-1, 1/3, 1
Suppose 2*c - 2*t - 46 = 0, t - 26 = -2*c 