tive of -3*x - 1/2*x**2 - 2 - 1/3*x**3 - 1/12*x**4. Let k(j) be the first derivative of b(j). Factor k(u).
-(u + 1)**2
Let l = -4/3 + 23/15. Solve -3/5*m + l*m**3 + 0*m**2 - 2/5 = 0 for m.
-1, 2
Let b be ((-12)/(3 + 1))/(27/(-18)). Factor 1/6*g**4 + 1/3*g + 5/6*g**b + 0 + 2/3*g**3.
g*(g + 1)**2*(g + 2)/6
Suppose 4*f + 0*f = 12. Suppose 8 - 28 = -4*m, 4*q + 4*m = 28. Factor -2*z**3 - 2*z - 2*z**4 + 2*z**3 + z**2 + q*z**f + z**2.
-2*z*(z - 1)**2*(z + 1)
Let k(a) be the third derivative of a**5/30 + a**4/12 - 2*a**3/3 + 8*a**2. Factor k(q).
2*(q - 1)*(q + 2)
Let t(b) = b**4 - b**2 - b + 1. Let g = -5 - -7. Let l(k) = -3*k**4 - 4*k**3 - 4*k**2 - 2*k - 3. Let r(i) = g*l(i) + 4*t(i). What is h in r(h) = 0?
-1
Let j(i) be the first derivative of i**4/10 + 7*i**3/15 + 7*i**2/10 + 2*i/5 - 3. Find m, given that j(m) = 0.
-2, -1, -1/2
Let n(t) = -t - 18. Let i be n(6). Let k be (-4)/(-3)*i/(-96). Let k - 1/6*v**2 - 1/6*v = 0. Calculate v.
-2, 1
Let o be 2/2 - (-5 + 2). Let b = o + 1. Factor -5*r**3 - r + 2*r**4 + 4*r**2 + 5 - b.
r*(r - 1)**2*(2*r - 1)
Let g(t) be the second derivative of -t**7/4200 - t**6/1200 - t**4/6 - 3*t. Let a(w) be the third derivative of g(w). Factor a(d).
-3*d*(d + 1)/5
Let g be (-25)/10 + (-1 - -4). Factor j - g*j**2 - 1/2.
-(j - 1)**2/2
Let z(y) be the first derivative of -y**4/4 + 4*y**3/3 - y**2/2 - 4*y - 3. Let i be z(3). Suppose -h**i + 2*h**3 - h - 2*h**2 + 3*h - h**2 = 0. What is h?
0, 1
Let u(m) be the first derivative of 0*m**2 - 1/14*m**4 + 10 + 8/7*m - 2/7*m**3. Determine q so that u(q) = 0.
-2, 1
Let u(o) be the second derivative of o + 0 - 9/2*o**2 - 1/12*o**4 - o**3. Solve u(r) = 0.
-3
Let m(u) be the third derivative of u**6/120 + u**5/30 - u**4/24 - u**3/3 + 22*u**2. Factor m(q).
(q - 1)*(q + 1)*(q + 2)
Let j be (102/68)/(27/52). Factor -8/3*s - 4/3*s**3 + j*s**2 + 2/9*s**4 + 8/9.
2*(s - 2)**2*(s - 1)**2/9
Let h(t) be the first derivative of t**4/24 + t**3/12 - t**2/2 - t + 1. Let a(y) be the first derivative of h(y). Solve a(f) = 0 for f.
-2, 1
Suppose 20 = -3*b - 2*b. Let j be b/14 - (-192)/378. Find d, given that j*d**2 - 4/9*d + 2/9 = 0.
1
Let v(p) be the first derivative of 0*p**2 - 2/55*p**5 - 1 + 0*p + 0*p**3 + 1/22*p**4. Factor v(b).
-2*b**3*(b - 1)/11
Let r = -13866 - -1331197/96. Let j = r + 1/32. Solve 4*o**2 + 8/3*o + 2/3 + j*o**4 + 8/3*o**3 = 0.
-1
Determine b, given that -6/11*b**3 - 2/11*b**4 + 4/11*b + 2/11*b**5 + 0 + 2/11*b**2 = 0.
-1, 0, 1, 2
Let u(v) be the third derivative of 0 + 0*v + 3/80*v**6 + 1/48*v**4 - 2*v**2 + 1/105*v**7 + 0*v**3 + 1/20*v**5. Solve u(d) = 0 for d.
-1, -1/4, 0
Let b = 1 - 3. Let y be ((-4)/1)/(b/1). Factor -2/3*a**y - 2/3 + 4/3*a.
-2*(a - 1)**2/3
Find q, given that -10/7 - 1/7*q**3 - 8/7*q**2 + 19/7*q = 0.
-10, 1
Suppose -1/6*i + 0 - 1/6*i**2 = 0. What is i?
-1, 0
Let f(j) = -j**2 - 9*j - 3. Let d be f(-8). Let i(x) be the first derivative of -1/2*x**4 + 0*x**2 + 0*x - 3 + 4/3*x**3 - 6/5*x**d. Factor i(k).
-2*k**2*(k + 1)*(3*k - 2)
Let o = 1/11 + 9/22. Suppose b - 5*b + 12 = 0. Determine p, given that 0 - o*p**b + 0*p + 0*p**2 = 0.
0
Solve 4*b + 2 - 2 - 3*b**3 - b = 0.
-1, 0, 1
Let k(y) be the second derivative of y**6/15 + y**5/10 - y**4/2 - y**3/3 + 2*y**2 - y. Factor k(o).
2*(o - 1)**2*(o + 1)*(o + 2)
Suppose 4/5*l - 3/5*l**3 - 1/5*l**5 - 4/5*l**2 + 0 + 4/5*l**4 = 0. What is l?
-1, 0, 1, 2
Let x = -2/61 + 309/122. Determine z, given that -2*z**3 + 0 - 1/2*z**4 - z - x*z**2 = 0.
-2, -1, 0
Let k(s) be the second derivative of -s**7/147 - 2*s**6/105 + s**4/21 + s**3/21 + 7*s. Let k(t) = 0. What is t?
-1, 0, 1
Suppose 3*q - 2*t = -1, 0 = 2*q - 3*q - 3*t + 18. Find w, given that w**4 + 1 + 0*w**2 + 4*w + 6*w**2 + 2*w**3 + 2*w**q = 0.
-1
Let n(v) = v**2 + 1. Let q(s) = 2*s**2 + 4*s - 1. Let f(u) = 6*n(u) - 2*q(u). Factor f(i).
2*(i - 2)**2
Let g(c) = -9*c**3 - c**2 + 6*c. Let n(b) be the first derivative of 5*b**4/2 + b**3/3 - 7*b**2/2 - 3. Let w(j) = -7*g(j) - 6*n(j). Factor w(m).
m**2*(3*m + 1)
Determine p, given that -1 + 13*p + 21*p**2 + 11*p**3 + 12*p**2 - 56*p**2 = 0.
1/11, 1
Let u(f) be the first derivative of -f**6/480 + f**4/96 - 5*f**2/2 - 1. Let z(i) be the second derivative of u(i). Suppose z(h) = 0. Calculate h.
-1, 0, 1
Let n be 2 + 1 + (-22 - -20). Let v be -3 - (14/(-4))/n. Solve -1/2*w - v + 1/2*w**3 + 1/2*w**2 = 0 for w.
-1, 1
Let q be (-1 + -1)*4/(-4). Let l(c) be the third derivative of 1/18*c**3 + 1/180*c**5 + 0 + 0*c - 2*c**q - 1/36*c**4. Factor l(z).
(z - 1)**2/3
Let g(p) be the third derivative of -2*p**7/15 + 3*p**6/10 + 4*p**5/5 - 2*p**4/3 + 8*p**2. Determine h so that g(h) = 0.
-1, 0, 2/7, 2
Let j = -38 - -115/3. Let v = -52/21 - -22/7. Let -j*g**4 + g**2 + 1/3*g**3 - v - 1/3*g = 0. What is g?
-1, 1, 2
Let h(k) be the third derivative of 4*k**6/45 + 2*k**5/15 - 5*k**4/48 + k**3/36 + 25*k**2. Factor h(g).
(g + 1)*(8*g - 1)**2/6
Let w be (4/(-12))/(((-16)/(-4))/(-24)). Suppose -1/2*m - 3/4*m**3 + 0 + 5/4*m**w = 0. Calculate m.
0, 2/3, 1
Let g(j) be the third derivative of -j**8/1176 - j**7/490 + j**5/420 - j**2. What is n in g(n) = 0?
-1, 0, 1/2
Let w(z) be the first derivative of 5*z**4/4 + 10*z**3/3 - 6. Factor w(l).
5*l**2*(l + 2)
Let r be (5/30 - 0)/(1/9). What is l in 0*l + 0 + 0*l**3 + 3/2*l**2 - r*l**4 = 0?
-1, 0, 1
Suppose s - 5*v = -5, -s - 2 = -0*v - 4*v. Let m be ((-18)/(-15))/(9/s). Let 4/3*h**3 + 0*h**2 - 2/3 - m*h + 2/3*h**4 = 0. What is h?
-1, 1
Factor -3/5*y**3 + 0 + 3/5*y**2 + 6/5*y.
-3*y*(y - 2)*(y + 1)/5
Let y(a) = -a**2 - 11*a - 2. Let i be y(-10). Factor 2 - i + 4*r**2 - 3*r - r**2.
3*(r - 2)*(r + 1)
Suppose 0 = -g - 1 + 3. Find r such that r**2 + 2*r**3 - 2*r - 6*r**2 - 7*r**3 - 2*r**g = 0.
-1, -2/5, 0
Let c be 4*(9/6 - 1). Suppose -3*n + 10 = 1, 0 = h - n - c. Factor -1/2 - 1/2*x**4 + 1/2*x**h + 1/2*x + x**2 - x**3.
(x - 1)**3*(x + 1)**2/2
Determine b so that -2/9 + 4/9*b - 2/9*b**2 = 0.
1
Let r(p) = p**2 - 5*p. Let a be r(5). Let z(x) be the second derivative of 0*x**2 + a - 1/18*x**3 + 1/18*x**4 - 1/60*x**5 + 2*x. Find v such that z(v) = 0.
0, 1
Suppose 2*y = -5*m - 67 - 45, 5*m = -5*y - 115. Let p = m - -26. Factor -1/2*k**p - k**3 + 0*k**2 + k + 1/2.
-(k - 1)*(k + 1)**3/2
Factor 0*a**3 - 1/3*a + 2/3*a**4 - 2/3*a**2 + 0 + 1/3*a**5.
a*(a - 1)*(a + 1)**3/3
Let d(g) = -2*g**2 - 6*g - 5. Let q(v) = -v**2 - 5*v - 4. Let l(c) = 4*d(c) - 5*q(c). Determine j, given that l(j) = 0.
0, 1/3
Suppose 5*u + 0*u = 0. Let i(z) be the second derivative of u - 2*z - 1/5*z**3 - 1/30*z**4 - 2/5*z**2. Factor i(h).
-2*(h + 1)*(h + 2)/5
Let c(b) be the second derivative of 2*b**7/63 + 4*b**6/45 - 2*b**4/9 - 2*b**3/9 + 5*b. Factor c(p).
4*p*(p - 1)*(p + 1)**3/3
Let g(c) be the first derivative of -2*c**4 + 2*c**3 + c**2 - 3. Factor g(a).
-2*a*(a - 1)*(4*a + 1)
Let o be 6/28*(-5)/(-45). Let m(s) be the third derivative of -1/3*s**3 + 0 + 0*s + o*s**7 - 7/24*s**4 - 2*s**2 + 7/120*s**6 - 1/20*s**5. Solve m(h) = 0 for h.
-1, -2/5, 1
Let c = -12 - -36. Let a be (-16)/c*18/(-4). Factor 0*r**4 + 0 + 2/9*r**5 - 2/9*r**a + 0*r + 0*r**2.
2*r**3*(r - 1)*(r + 1)/9
Factor 9 - 26 - 10*b + 12 - 5*b**2.
-5*(b + 1)**2
Let y(o) = -6*o**3 + 39*o**2 + 125*o - 11. Let m(b) = -b**3 + 8*b**2 + 25*b - 2. Let i(f) = -22*m(f) + 4*y(f). Let i(z) = 0. Calculate z.
-5, 0
Suppose 4*h + 34 = 3*v, -4*v + 38 = -5*h - 6. Let p(n) be the second derivative of -1/90*n**v + 1/30*n**5 + 3*n + 0*n**3 + 0 + 0*n**2 - 1/36*n**4. Factor p(j).
-j**2*(j - 1)**2/3
Solve 3*h**4 - 16*h + 23*h - 7*h - 3*h**2 = 0.
-1, 0, 1
Factor 0 - 1/4*n**2 - n**4 - 5/4*n**3 + 0*n.
-n**2*(n + 1)*(4*n + 1)/4
Let x be (-4)/(-6)*5*(-1)/(-10). Suppose -x + 1/6*s + 1/2*s**2 = 0. Calculate s.
-1, 2/3
Let a = -192 - 29. Let r = a + 1551/7. Factor r + 18/7*x**2 + 2/7*x**4 - 2*x - 10/7*x**3.
2*(x - 2)*(x - 1)**3/7
Let v(z) = -19*z**3 - 43*z**2 - 24*z. Let u(m) = 13*m**3 + 29*m**2 + 16*m. Let b(t) = -7*u(t) - 5*v(t). Suppose b(l) = 0. Calculate l.
-2, -1, 0
Let z(u) be the third derivative of -u**8/1176 + u**7/49 - u**6/14 - 19*u**5/21 - 75*u**4/28 - 27*u**3/7 + 8*u**2. Let z(k) = 0. Calculate k.
-1, 9
Let p(r) be the first derivative of -r**5/80 + r**4/24 - r**3/24 - 5*r**2/2 + 2. Let d(u) be the second derivative of p(u). Factor d(v).
-(v - 1)*(3*v - 1)/4
Suppose 0 = 8*c - 3*c - 10, 0 = 2*p - 2*c. Suppose 14*i**2 -