*q. Let k(v) be the third derivative of -1/24*v**q + 0 + 3*v**2 + 1/9*v**3 + 0*v + 1/180*v**5. Factor k(o).
(o - 2)*(o - 1)/3
Let l(x) be the third derivative of 0*x**3 + 5*x**2 + 1/336*x**8 + 1/24*x**4 + 0 - 1/60*x**6 + 0*x + 0*x**5 + 0*x**7. Factor l(w).
w*(w - 1)**2*(w + 1)**2
Let t(w) be the third derivative of -w**9/181440 + w**7/15120 + w**5/12 + 6*w**2. Let d(x) be the third derivative of t(x). Factor d(q).
-q*(q - 1)*(q + 1)/3
Solve -69 + 0*z + 4*z**2 - 4*z + 63 - 2*z**2 = 0.
-1, 3
Let x = 42 + -125/3. Factor -2/3*g**2 + x + 1/3*g.
-(g - 1)*(2*g + 1)/3
Let d(k) be the third derivative of 2/3*k**3 - 3*k**2 - 3/80*k**6 + 0*k + 1/4*k**5 + 0 - 7/12*k**4. Find h such that d(h) = 0.
2/3, 2
Let 9/7*b**4 + 0 - 12/7*b**3 - 3/7*b**2 + 6/7*b = 0. What is b?
-2/3, 0, 1
Let n(f) be the first derivative of -80/3*f**3 - 3 - 1/6*f**6 - 10*f**4 - 32*f - 40*f**2 - 2*f**5. Factor n(q).
-(q + 2)**5
Suppose -4*c = 2*g + 14, 2*g - 5*c - 25 = 6. Suppose -h + 32 = g*h. Factor -18*t**2 - h*t - 8/9.
-2*(9*t + 2)**2/9
Let m be -2 - 4*204/(-9). Let o = m + -88. Factor 4/9 + o*k + 2/9*k**2.
2*(k + 1)*(k + 2)/9
Factor 3*u**3 + 6*u**2 - 110 + 56 + 3*u + 54.
3*u*(u + 1)**2
Suppose t + 5 = -a, -3*t + 17*a = 21*a + 20. Solve t*k - 4/5*k**4 + 4/5*k**2 + 0 + 0*k**3 = 0.
-1, 0, 1
Let d(m) = 3*m**2 + 3*m - 4. Let k be d(-2). Let p(b) be the first derivative of k - 1/7*b**2 + 1/14*b**4 + 2/21*b**3 - 2/7*b. Factor p(f).
2*(f - 1)*(f + 1)**2/7
Let y(x) = 4*x**2 - 1. Let j be y(1). Let -3 - g**3 + 0*g**2 - 9*g**2 + 16*g**j + 12*g**4 - 15*g = 0. What is g?
-1, -1/4, 1
Factor 20*q**2 - 3*q**3 - 5*q**2 - 9*q + 2*q**4 + 0*q**4 - 5*q**4.
-3*q*(q - 1)**2*(q + 3)
Let f(o) = 5*o**3 - 11*o**2 + 10*o. Let y(b) = 70*b**3 - 155*b**2 + 140*b. Let i(x) = 55*f(x) - 4*y(x). Let i(q) = 0. Calculate q.
0, 1, 2
Let q(s) be the first derivative of -s**5/135 - s**4/36 - s**3/27 - s**2 - 2. Let h(c) be the second derivative of q(c). Factor h(d).
-2*(d + 1)*(2*d + 1)/9
Suppose 5 = 2*g - 5. Find j, given that -j - 3*j**4 + j + g*j**4 = 0.
0
Let n(k) be the second derivative of k**4/66 - k**3/11 - 7*k. Let n(s) = 0. What is s?
0, 3
Let x = 4 - 7/2. Let b = -2 - -4. Factor -3/2*p**3 + 0*p - x*p**4 + 0 - p**b.
-p**2*(p + 1)*(p + 2)/2
Let n(t) be the third derivative of t**7/735 + t**6/420 - t**5/70 - t**4/84 + 2*t**3/21 - 10*t**2. Factor n(a).
2*(a - 1)**2*(a + 1)*(a + 2)/7
Let t(d) be the third derivative of -d**2 + 0*d - 1/30*d**3 + 1/300*d**5 + 0*d**4 + 0. Determine u, given that t(u) = 0.
-1, 1
Let h(i) be the second derivative of i**10/30240 - i**8/6720 - i**4/2 - 3*i. Let d(n) be the third derivative of h(n). Factor d(w).
w**3*(w - 1)*(w + 1)
Let m(t) be the third derivative of 0 + 0*t - 3/16*t**4 - 7/120*t**5 - 1/6*t**3 - t**2. Factor m(q).
-(q + 1)*(7*q + 2)/2
Let c be 2/8 + (-33)/(-12). Solve 2*i**4 - 12*i**2 + 14*i**2 + c*i**3 + i**3 = 0 for i.
-1, 0
Let u(l) = 5*l**3 + 5*l**2 - 16*l - 5. Let w(i) = -i**3 - i**2 + 3*i + 1. Let k(j) = 4*u(j) + 22*w(j). Factor k(o).
-2*(o - 1)*(o + 1)**2
Let -2/7*v**3 + 0 - 2/7*v**2 + 4/7*v = 0. What is v?
-2, 0, 1
Let y(z) = -7 - z - 1 - z. Let a be y(-6). What is p in 2/3 + 2/3*p**a + 2/3*p**5 + 2/3*p - 4/3*p**2 - 4/3*p**3 = 0?
-1, 1
Let k(a) = 3*a - 2. Let z be k(6). Suppose 3*m - 5*l - 26 = 5, -3*m = -2*l - z. Solve -1/2 + 1/2*t**m + 0*t = 0 for t.
-1, 1
Let j(w) be the first derivative of -w**6/45 + 14*w**5/75 - 19*w**4/30 + 10*w**3/9 - 16*w**2/15 + 8*w/15 + 6. Factor j(k).
-2*(k - 2)**2*(k - 1)**3/15
Suppose -2*c - 3*c = 10. Let d = 2 + c. Factor d - 1/5*x**4 + 0*x**3 + 0*x**2 + 0*x.
-x**4/5
Let 0*g - 1/2*g**4 - 2*g**3 + 0*g**2 + 0 = 0. What is g?
-4, 0
Let d be (6 - -2) + -3 + (-1 - 4). Find y, given that d*y - 1/2*y**2 + 1/2*y**5 + 0 + 1/2*y**4 - 1/2*y**3 = 0.
-1, 0, 1
Suppose 0 = -3*t - 0*t + 9. Factor 0*y**2 + y**t + 3*y**2 - 3*y**2 - y.
y*(y - 1)*(y + 1)
Let n(k) be the first derivative of -8*k**3/9 - 5*k**2 - 6*k + 20. Factor n(v).
-2*(v + 3)*(4*v + 3)/3
Let t be (-3)/(-27)*3/14. Let p(m) be the second derivative of 1/105*m**6 + 2*m + 0*m**3 + 0 + t*m**4 + 1/35*m**5 + 0*m**2. Factor p(x).
2*x**2*(x + 1)**2/7
Let v be 4 - (-1)/3*(3 + -3). Let u(q) be the third derivative of 0*q**5 + 0*q + 0 - 1/36*q**6 - 2/9*q**3 + 2/315*q**7 + 5/36*q**v - 2*q**2. Solve u(y) = 0.
-1, 1/2, 1, 2
Let d(v) be the first derivative of 1/6*v**4 - 2 + 0*v**3 - v**2 - 4/3*v. Determine k so that d(k) = 0.
-1, 2
Let x(v) be the second derivative of v**4/42 + v**3/21 + v. Find b such that x(b) = 0.
-1, 0
Let c(r) be the second derivative of r - 2*r**2 - 1/4*r**4 - 4/3*r**3 + 0. Solve c(g) = 0.
-2, -2/3
Let t(l) be the first derivative of 3/2*l**2 - 3*l - 1/4*l**3 - 7. Find x, given that t(x) = 0.
2
Let y(x) be the first derivative of 2*x**3/3 + 4. Factor y(a).
2*a**2
Let s = -2 + 2. Factor 0*r + 3/4*r**3 + 0 + s*r**2.
3*r**3/4
Let y be 10/3 + 14/(-42). Let t(u) be the second derivative of -u + 1/24*u**y + 0*u**2 + 0 + 1/48*u**4. What is p in t(p) = 0?
-1, 0
Solve -15*q**4 - 7*q**2 - 10*q**2 - q**2 - 51*q**3 = 0.
-3, -2/5, 0
Let d(k) be the first derivative of -k**6/160 - k**5/80 + k**4/16 - 2*k**2 + 1. Let p(v) be the second derivative of d(v). Factor p(x).
-3*x*(x - 1)*(x + 2)/4
Let z(x) be the first derivative of -2*x**5/25 + 2*x**4/5 - 2*x**3/5 + 23. Solve z(o) = 0 for o.
0, 1, 3
Let l be ((-25)/150)/(1/(-4)). Solve -4/3*m - 2*m**4 + 8/3*m**3 + l*m**2 + 0 = 0.
-2/3, 0, 1
Let t be (1/(-2))/(55/(-47)). Let i = -3/110 + t. Factor 0*q + 0 - 2/5*q**3 + i*q**5 + 0*q**2 + 0*q**4.
2*q**3*(q - 1)*(q + 1)/5
Let o(z) = -56*z**2 - 63*z - 16. Let f(n) = -14*n**2 - 16*n - 4. Let g(x) = -9*f(x) + 2*o(x). Solve g(q) = 0.
-1, -2/7
Let d = -2/275 + 287/1650. Let i(z) be the first derivative of 0*z + 1/4*z**2 + d*z**3 + 3. Suppose i(l) = 0. What is l?
-1, 0
Let g(c) be the third derivative of c**5/20 + c**4/24 - 3*c**2. Let q be g(-1). Factor -2*m**2 + 7*m**2 - 3*m**2 - q*m.
2*m*(m - 1)
Let b be (-4)/(-4) - (-3 - 0). Suppose -28 + 12 = -2*q - 3*s, -4*q + 12 = s. Factor x**2 - 2*x**3 - b*x**3 + x**q.
-2*x**2*(3*x - 1)
Let 1/2*d**4 + 0*d**2 + 1/4*d**3 + 1/4*d**5 + 0 + 0*d = 0. What is d?
-1, 0
Let q = 6 + -4. Let n be (-2)/((-6)/15) - q. Find d, given that 6*d**3 + 2*d**2 + 4*d**5 - 2*d**5 + 0*d**n + 6*d**4 = 0.
-1, 0
Let d = 20 - 161/8. Let s = d + 5/8. Solve -a**2 - s*a**3 + 0 - 1/2*a = 0.
-1, 0
Solve 0 - 1/4*p**4 - 1/2*p + 0*p**3 + 3/4*p**2 = 0 for p.
-2, 0, 1
Let f(w) = 8*w**3 - 3*w**2 - 4*w - 1. Let l(j) = -j**3 + j. Let g be (-2)/(-8) + 85/(-4). Let u(s) = g*l(s) - 3*f(s). Solve u(n) = 0.
1
Let p(a) be the third derivative of a**6/30 - 2*a**5/5 + 42*a**2. Factor p(t).
4*t**2*(t - 6)
Let g(x) = 3*x**2 - 42*x. Let f(a) = a**2 - 17*a. Let z(r) = 12*f(r) - 5*g(r). Factor z(j).
-3*j*(j - 2)
Let t(o) be the third derivative of o**5/60 - 2*o**3/3 + 39*o**2. Factor t(b).
(b - 2)*(b + 2)
Let h be (2 - 23/10)/(2/(-15)). What is i in -h*i - 6*i**2 - 4*i**3 - 1/4 = 0?
-1, -1/4
Let a(w) be the third derivative of w**7/1680 - w**6/720 + 2*w**3/3 - 3*w**2. Let f(j) be the first derivative of a(j). What is v in f(v) = 0?
0, 1
Let 4*u**3 + 10*u - 2*u - 2*u + 2*u**3 - 9*u**4 + 21*u**2 = 0. What is u?
-1, -1/3, 0, 2
Let i(c) = -c**2 - 9*c - 5. Let k be i(-8). Let q(m) be the second derivative of 4/9*m**k - 1/18*m**4 - 4/3*m**2 + 4*m + 0. Determine p, given that q(p) = 0.
2
Let p(h) be the second derivative of -h**7/98 + 4*h**6/105 + 9*h**5/140 - 17*h**4/42 + 2*h**3/7 + 4*h**2/7 + 29*h. Find j such that p(j) = 0.
-2, -1/3, 1, 2
Solve 0*h + 0*h**3 + 0 - 1/3*h**2 + 1/3*h**4 = 0 for h.
-1, 0, 1
Factor 4*l + 25*l**4 + 18*l**3 + 6*l**2 - 21*l**2 - 32*l**4 + 0*l.
-l*(l - 1)**2*(7*l - 4)
Suppose 8 + 12 = 4*n. Let k(a) be the third derivative of 2*a**2 - 2/45*a**n + 1/4*a**4 - 2/9*a**3 + 0 + 0*a. Solve k(x) = 0 for x.
1/4, 2
Let j = 3002/9 + -332. Factor j*c**2 + 2/9*c**3 - 32/9 + 16/9*c.
2*(c - 1)*(c + 4)**2/9
Let d(h) be the third derivative of -h**6/40 + 3*h**5/20 - 3*h**4/8 + h**3/2 - 7*h**2. Let d(m) = 0. Calculate m.
1
Suppose -5*n + 4*n + 2*d = -1, -1 = n - 4*d. Let y(h) be the third derivative of -h**2 + 0*h - 1/180*h**5 + 1/72*h**4 + 0 + 0*h**n. Factor y(g).
-g*(g - 1)/3
Let j(u) be the second derivative of u**7/2520 + u**6/216 + u**5/120 - u**4/8 - u**3/2 - u. Let t(p) be the second derivative of j(p). S