*3 + 3*q**4 - 16*q**3 + 3*q**3.
3*q*(q - 1)**2*(q + 1)
Let w(c) be the third derivative of -c**7/1995 + c**6/570 + 2*c**5/285 - 2*c**4/57 - 22*c**2. Factor w(i).
-2*i*(i - 2)**2*(i + 2)/19
Let f(c) be the third derivative of -c**6/160 + c**5/16 - c**4/4 + c**3/2 - 74*c**2. Suppose f(d) = 0. What is d?
1, 2
Let m(i) be the third derivative of -i**7/525 + 3*i**6/50 - 121*i**5/150 + 6*i**4 - 80*i**3/3 + 310*i**2 - i. Factor m(g).
-2*(g - 5)**2*(g - 4)**2/5
Let l(w) be the third derivative of 2*w**7/945 - w**6/270 - 13*w**5/135 + w**4/54 + 8*w**3/9 - 174*w**2. Determine k, given that l(k) = 0.
-3, -1, 1, 4
Let j be (6/(-12))/(2/(-8)). Determine n so that -5*n**4 + 8*n**4 - 5*n**j - n**2 + 3*n**2 = 0.
-1, 0, 1
Let g(w) be the third derivative of -1/1344*w**8 - 1/240*w**6 - 12*w**2 - 1/60*w**5 + 0*w**3 + 0*w + 0 + 1/32*w**4 + 1/210*w**7. Let g(k) = 0. What is k?
-1, 0, 1, 3
Let i(m) be the third derivative of -m**7/560 - m**6/40 - m**5/16 - 7*m**3/6 - 9*m**2. Let a(r) be the first derivative of i(r). Solve a(d) = 0.
-5, -1, 0
Let g(x) be the third derivative of -x**6/900 + x**5/90 + x**4/180 - x**3/9 - 21*x**2. Find m, given that g(m) = 0.
-1, 1, 5
Let u(a) = -51*a**2 + 5*a + 6. Let c be u(-1). Let h be 30/9*(-18)/c. Find s such that -2/5*s**2 - 8/5*s - h = 0.
-3, -1
Let b(u) be the second derivative of u**4/12 + u**3 - 8*u**2 + 16*u - 3. Factor b(g).
(g - 2)*(g + 8)
Let f(j) be the third derivative of 0 - 7/150*j**5 + 0*j - 3/5*j**3 + 1/300*j**6 - 6*j**2 + 1/4*j**4. Factor f(g).
2*(g - 3)**2*(g - 1)/5
Let j(p) be the second derivative of p**5/5 - 4*p**4 - 62*p. Factor j(r).
4*r**2*(r - 12)
Let k(m) be the third derivative of 11*m**10/840 + m**9/945 - m**8/420 + 11*m**4/12 + 4*m**2. Let c(r) be the second derivative of k(r). Factor c(h).
4*h**3*(9*h + 2)*(11*h - 2)
Let a = -184 + 192. Suppose -6*c + 70 = a*c. Find y such that -94/5*y**2 - 9/5*y**c - 97/5*y**3 - 8/5 - 48/5*y**4 - 44/5*y = 0.
-2, -1, -2/3
Let f be 2/((-36)/(-190)) + (-11 + 10)*5. Determine q, given that f*q**5 + 0 - 140/9*q**4 + 0*q - 16/9*q**2 + 88/9*q**3 = 0.
0, 2/5, 2
Let g(n) be the second derivative of 1/54*n**4 + 1/270*n**6 + 1/45*n**5 + 0 - 17*n - 2/27*n**3 - 1/6*n**2. Factor g(j).
(j - 1)*(j + 1)**2*(j + 3)/9
Let u be 2 - ((-8)/(-2) + -4). Solve 3*j**u - 6*j**2 - 62*j + 50*j - 12 = 0 for j.
-2
Suppose 2*p - 15 = -3*p. Let n = p + 0. Determine a, given that 17*a**2 + 4*a**n - 2*a**3 - a**4 - 18*a**2 = 0.
0, 1
Let r(m) be the third derivative of m**7/42 + m**6/4 - 17*m**5/12 - 5*m**4/4 + 40*m**3/3 - 129*m**2. Suppose r(w) = 0. Calculate w.
-8, -1, 1, 2
Let t = 20 - 50. Let w be (-12)/t*10/2. Factor -n**4 + w*n**3 + 0*n**4 - n**4.
-2*n**3*(n - 1)
Let z(q) be the third derivative of -2*q**7/35 + 3*q**6/40 + 17*q**5/20 - 3*q**4/2 - 2*q**3 - 86*q**2. Solve z(o) = 0.
-2, -1/4, 1, 2
Let p = -9 - -4. Let k(j) = -j**4 + j**3 - j**2 - j + 1. Let r(o) = 2*o**4 - o - 3*o**3 + 0 + 5*o**2 - 2 + 4*o**3. Let a(w) = p*k(w) - r(w). Factor a(n).
3*(n - 1)**3*(n + 1)
Let n(h) = 5*h - 32. Let c be n(7). Let j(o) be the third derivative of 0 + 4/3*o**c - 1/30*o**5 + 0*o**4 + 6*o**2 + 0*o. Let j(p) = 0. Calculate p.
-2, 2
Let i(h) be the third derivative of -h**8/84 + 2*h**6/15 - 2*h**5/15 - h**4/2 + 4*h**3/3 + 5*h**2 - 2*h. Solve i(r) = 0 for r.
-2, -1, 1
Let r(c) = 2*c**2 - c + 7. Let n(p) = 11*p**2 + 5*p - 4. Let w(m) = n(m) - 5*r(m). Factor w(b).
(b - 3)*(b + 13)
Let f(h) be the third derivative of 7*h**5/240 + 11*h**4/48 + h**3/8 + 3*h**2 + 5*h. Factor f(d).
(d + 3)*(7*d + 1)/4
Let a be 69/(-46) - (-14)/4. Let d(o) be the first derivative of -14*o**3 + 50/3*o**2 - 8*o + a + 9/5*o**5 + 9/4*o**4. Determine s so that d(s) = 0.
-3, 2/3
Factor 89*g**4 + 208*g - 4*g**2 - 24*g**3 - 85*g**4 - 191 - 8*g**2 - 49.
4*(g - 5)*(g - 2)**2*(g + 3)
Suppose -4*h = h - 2*h - 8*h. Suppose h + 3/2*q + 3/4*q**2 = 0. Calculate q.
-2, 0
Factor 36 - 28/3*p**2 + 4/3*p**3 - 28*p.
4*(p - 9)*(p - 1)*(p + 3)/3
Let t be (-77)/210*(-84)/231. Factor 2/15*s - t*s**2 + 4/15.
-2*(s - 2)*(s + 1)/15
Solve -240*z**3 + 43740000 - 1944000*z + 32400*z**2 + 2/3*z**4 = 0 for z.
90
What is z in 8/7*z**2 - 8/7*z - 2/7*z**3 + 0 = 0?
0, 2
Let f be (7/21*-1)/(-1). Factor 5/6*q**3 + 3/2*q**2 + 1/6*q**4 + f + 7/6*q.
(q + 1)**3*(q + 2)/6
Let q be (-10)/168 - (11 + (-390)/35). Let k(o) be the second derivative of -1/3*o**3 + 0 + 0*o**2 - 8*o + q*o**4. Let k(z) = 0. Calculate z.
0, 2
Factor -2/3*g**2 - 32/3 + 20/3*g.
-2*(g - 8)*(g - 2)/3
Suppose 66*b - 111*b + 90 = 0. Suppose -2/7*j + 2/7*j**4 - 6/7*j**b + 4/7 + 2/7*j**3 = 0. What is j?
-2, -1, 1
Let n(h) = -1. Let p(l) = -2*l**2 - 2*l - 3. Suppose 5*v + 0 + 15 = 0. Let x(o) = v*n(o) + p(o). Let x(b) = 0. What is b?
-1, 0
Let q = 10 + -10. Suppose 3 - 10 = -2*p - d, 4*p + 3*d - 19 = q. Factor 3*z + 3*z**2 - 20*z**3 + 21*z**3 - p - 6*z**2.
(z - 1)**3
Suppose 0 = -6*q + q. Let z(g) be the first derivative of 0*g**2 + q*g - 6/5*g**3 + 3/5*g**4 + 4 - 2/25*g**5. Factor z(x).
-2*x**2*(x - 3)**2/5
Suppose -11*h + 43 = -1. What is v in 6*v - 12*v**2 + 16*v**3 - 4*v**h - 12*v - 8*v**2 + 14*v = 0?
0, 1, 2
Suppose -27*d - 288 = -11*d. Let g be 312/540 + (-4)/d. What is w in 4/5*w**3 - g*w**2 + 0*w + 0 = 0?
0, 1
Let k(a) be the second derivative of a**7/1155 - a**6/660 - a**5/66 - a**4/44 + 5*a**2 - 27*a. Let s(b) be the first derivative of k(b). Factor s(r).
2*r*(r - 3)*(r + 1)**2/11
Let s(b) = -5*b**3 - 2*b**2 - b - 4. Let a(p) = -4*p**3 - 2*p**2 - 2*p - 4. Let w(x) = -6*a(x) + 5*s(x). Factor w(n).
-(n - 4)*(n + 1)**2
Let d(s) be the third derivative of -5/336*s**8 + 0*s**5 + 0*s**3 + 0*s**4 - 1/14*s**7 - 1/12*s**6 + 3*s**2 + 0 + 0*s. Suppose d(m) = 0. What is m?
-2, -1, 0
Suppose -555*w**2 + 14 - 2*w + 553*w**2 - 2 = 0. Calculate w.
-3, 2
Let o be (1/(-5))/((-53)/106). Let n(y) be the second derivative of -14*y + 37/60*y**4 + 0 + 3/50*y**6 + 2/3*y**3 + o*y**2 + 3/10*y**5. Factor n(q).
(q + 1)**2*(3*q + 2)**2/5
Let k(t) be the third derivative of 0*t + 4/3*t**4 + 0 + 1/30*t**6 - 8/3*t**3 - 1/3*t**5 - 4*t**2. Factor k(u).
4*(u - 2)**2*(u - 1)
Let y = -7/8 - -9/8. Suppose y - 1/4*a**2 - 1/4*a**3 + 1/4*a = 0. Calculate a.
-1, 1
Let c(u) be the second derivative of u**7/2520 - u**6/1080 - u**3/2 + 11*u. Let r(z) be the second derivative of c(z). Factor r(p).
p**2*(p - 1)/3
Suppose -5*k + 3*n = 0, 0 = 2*k + 2*k + 3*n. Let w(g) be the second derivative of k*g**5 + 11*g - 3/4*g**4 + 0 - g**3 + 0*g**2 + 1/10*g**6. Factor w(b).
3*b*(b - 2)*(b + 1)**2
Factor -49*s - 21/2*s**2 + 0 + 6*s**3 - 1/2*s**4.
-s*(s - 7)**2*(s + 2)/2
Let b = -86 + 4. Let l = b + 86. Factor 0 - 4/7*z**5 + 4/7*z**3 + 0*z + 0*z**l + 0*z**2.
-4*z**3*(z - 1)*(z + 1)/7
Let o(v) = -14*v**3 + 0*v**3 + 2*v**3 + 8*v**3 + 3*v**2 - 3. Let j(a) = 8*a**3 - 5*a**2 + a + 6. Let d(i) = 2*j(i) + 5*o(i). Suppose d(l) = 0. What is l?
-3/4, 1
Let i be ((-1)/(2/56))/(57/190*-5). Factor 0 - i*n**3 + 0*n + 98/3*n**4 + 8/3*n**2.
2*n**2*(7*n - 2)**2/3
Let j(n) be the third derivative of 0*n**4 + 0 + 1/30*n**3 + 0*n + 3*n**2 - 1/300*n**5. Find q, given that j(q) = 0.
-1, 1
Let y(g) be the first derivative of -g**5 - 3*g**4/4 + 9*g**3 - 25*g**2/2 + 6*g + 178. Solve y(t) = 0 for t.
-3, 2/5, 1
Let p(r) be the second derivative of -20*r - 1/10*r**5 + 1/3*r**3 + 0 + 3/2*r**2 + 1/30*r**6 - 1/3*r**4. Factor p(m).
(m - 3)*(m - 1)*(m + 1)**2
Solve 6*g + 1/2*g**2 + 10 = 0 for g.
-10, -2
Suppose 0 = -7*p + 316 - 15. Factor -s**2 - 7 - 6*s - s**2 - p - 14*s.
-2*(s + 5)**2
Factor 0*p + 1/3*p**2 + 1/3*p**4 - 2/3*p**3 + 0.
p**2*(p - 1)**2/3
Let n(k) be the first derivative of -k**4 - 7*k**3/3 - 3*k**2/2 - 234. Factor n(l).
-l*(l + 1)*(4*l + 3)
Let q(t) be the first derivative of 3*t**5 - 57*t**4/2 - 16*t**3 - 55. Suppose q(o) = 0. Calculate o.
-2/5, 0, 8
Let f(a) be the second derivative of -8*a**7/21 + 14*a**6/3 - 63*a**5/5 - 34*a**4/3 + 184*a**3/3 + 48*a**2 + 745*a. What is c in f(c) = 0?
-1, -1/4, 2, 6
Let g(f) be the third derivative of -f**7/525 + 3*f**6/100 - 9*f**5/50 + 9*f**4/20 + 24*f**2. Solve g(t) = 0 for t.
0, 3
Let t(j) = -6*j**5 + 44*j**4 - 30*j**3 + 8*j**2 - 8. Let d(u) = -4*u**5 + 29*u**4 - 20*u**3 + 5*u**2 - 5. Let g(p) = 8*d(p) - 5*t(p). Solve g(x) = 0 for x.
0, 1, 5
Suppose 0 = 3*k + 2*i - 25, -6*k + 5*k = i - 10. Let o = k - 2. Determine g, given that 9*g**2 + 