 - 16/3*p + 0 - 88/3*p**3.
-p*(p - 2)**2*(7*p + 2)**2/3
Factor 21007*w**2 + 4325*w**3 - 27*w**5 + 44800*w + 16*w**5 + 10*w**5 + 20480 + 7393*w**2 + 250*w**4 + 6*w**5.
5*(w + 1)**2*(w + 16)**3
Let j = 1064/3 + -354. Factor -8/3*x**3 - j*x**4 - 8/3*x**2 + 0 + 0*x.
-2*x**2*(x + 2)**2/3
Let f be 4 + ((7 - -1)/4 - 2). Let p(n) be the second derivative of 0*n**2 - n - 1/27*n**3 + 1/270*n**6 + 0 - 1/36*n**f + 0*n**5. Solve p(z) = 0 for z.
-1, 0, 2
Let w(a) be the second derivative of 1/36*a**4 - 2/3*a**2 + 0 - 3*a + 0*a**3. Determine p, given that w(p) = 0.
-2, 2
Let o(n) = -12*n**2 - 12*n - 4. Let u = -73 - -69. Let b(s) = -s. Let p(d) = u*b(d) - o(d). Solve p(h) = 0 for h.
-1, -1/3
What is k in -k**3 + 2*k**2 - 5 + 3*k**3 - 2*k + 3 = 0?
-1, 1
Let h(x) = -x**2 - 20*x - 9. Let p be h(-9). Let f = 189/2 - p. Factor 3/2*d**2 + f*d + 0.
3*d*(d + 3)/2
Suppose -31*u**2 - 77/2*u**3 - 13/2*u - 15*u**4 + 1 = 0. What is u?
-1, -2/3, 1/10
Let w(s) = 12 - 8*s + 8*s + 3*s. Let j be w(-4). Factor j*g**2 - 2/5*g + 0 - 2/5*g**5 + 4/5*g**3 + 0*g**4.
-2*g*(g - 1)**2*(g + 1)**2/5
Let p be ((-18)/8)/((-3)/144*4). Factor -p*g + 20 - 12*g**2 - 13*g**2 - 13*g.
-5*(g + 2)*(5*g - 2)
Let k = -433/5 + 451/5. Factor 2/5*g**3 + 0*g + 0*g**2 + k*g**5 + 12/5*g**4 + 0.
2*g**3*(3*g + 1)**2/5
Let x = 339 + -1676/5. Let y = 21/5 - x. Factor y + 2/5*v**2 + 4/5*v.
2*(v + 1)**2/5
Let i = 568 + -8512/15. Let r(u) be the first derivative of 0*u - 1/4*u**4 - 2/5*u**2 + 6 + 1/25*u**5 + i*u**3. Factor r(t).
t*(t - 2)**2*(t - 1)/5
Let s(o) be the first derivative of -o**4/4 + 3*o**2/2 - 11*o + 23. Let b(h) be the first derivative of s(h). Factor b(q).
-3*(q - 1)*(q + 1)
Let c = -203 + 206. Let v be c*-1 - 220/(-20). Determine l, given that v - 4*l + 1/2*l**2 = 0.
4
Let z(w) be the second derivative of 72*w**5/25 - 289*w**4/30 + 146*w**3/15 - w**2/5 + 2*w - 10. Factor z(d).
2*(d - 1)**2*(144*d - 1)/5
Let k(z) = z**3 + 6*z**2 + 7*z + 16. Let d be k(-4). Let p = 20 - d. Factor p + 2/15*l**2 + 4/15*l - 2/5*l**3.
-2*l*(l - 1)*(3*l + 2)/15
Suppose 0*d - 3*d + 6 = 0. Let t = 20 - 20. Factor 2*f + t + 2/3*f**d.
2*f*(f + 3)/3
Let x(j) = -2*j**3 + 3*j**2 + 22*j + 20. Let n be x(-1). Solve 5/2*t**5 + 13/2*t**4 - 13/2*t**2 + 0 - 11/2*t**3 + n*t = 0 for t.
-3, -1, 0, 2/5, 1
Let d = -64 - -67. Let d*f + 16*f**3 + 2*f - 21*f**4 + 20*f**2 + f**4 - 6*f**3 - 15*f**5 = 0. What is f?
-1, -1/3, 0, 1
Let d(z) be the third derivative of z**5/70 - z**4/28 - 66*z**2. Suppose d(s) = 0. What is s?
0, 1
Let b(i) be the third derivative of 15*i**2 + 0 - 1/75*i**5 - 1/15*i**4 + 2/5*i**3 + 0*i. Solve b(q) = 0 for q.
-3, 1
Let y(t) = 3*t**5 + 3*t**4 - 5*t**2 - 2*t + 1. Let x(u) = -u**5 + u**4 + u**2 - 1. Let c be (-11)/(-66) + 5/6. Let q(a) = c*x(a) + y(a). Factor q(v).
2*v*(v - 1)*(v + 1)**3
Let c be ((-2 - -2) + -2)*(-4)/28. Let i(l) be the first derivative of c*l - 2/7*l**2 + 2/21*l**3 - 6. Factor i(k).
2*(k - 1)**2/7
Let g(d) = d**2 - 3*d + 3. Let j be g(0). Let f(x) be the second derivative of -6*x**2 - 2*x**3 + 0 - j*x + 27/10*x**5 + 15/4*x**4. Let f(n) = 0. Calculate n.
-2/3, 1/2
Let f(m) be the third derivative of -11/72*m**4 + 0 - 1/24*m**5 + 0*m - 2/9*m**3 - 49*m**2. What is q in f(q) = 0?
-4/5, -2/3
Let x(d) be the first derivative of -d**3/9 + 22*d**2/3 - 484*d/3 + 23. Find u such that x(u) = 0.
22
Find n, given that 134 + 384*n**2 + 1 - 80*n**3 + 125 + 188 + 2*n**4 + 2*n**4 - 704*n = 0.
2, 14
Let w(l) be the third derivative of -l**6/10 + 17*l**5/15 - 7*l**4/2 - 6*l**3 - 2*l**2 - 150*l. Factor w(b).
-4*(b - 3)**2*(3*b + 1)
Let j = -783 - -2351/3. Factor -j*n + 0 - 2/3*n**3 + 4/3*n**2.
-2*n*(n - 1)**2/3
Let i be (-28)/6*27/(-36). Let l = -17/6 + i. Factor 0*r**4 + 0 + l*r**3 + 0*r**2 - 2/3*r**5 + 0*r.
-2*r**3*(r - 1)*(r + 1)/3
Let i(u) be the first derivative of 0*u**2 + 1/30*u**6 - 5*u + 10 + 1/36*u**4 - 1/18*u**3 + 1/12*u**5. Let h(d) be the first derivative of i(d). Factor h(c).
c*(c + 1)**2*(3*c - 1)/3
Let d(j) be the first derivative of 0*j + 1/2*j**6 + 2*j**3 + 0*j**4 + 16 - 6/5*j**5 - 3/2*j**2. Factor d(r).
3*r*(r - 1)**3*(r + 1)
Let y(b) be the third derivative of 1/60*b**5 + 2*b**2 - 15 + 0*b**3 + 0*b + 1/6*b**4. Factor y(u).
u*(u + 4)
Let o be (3 - -1)/4*8. Let y be 6 + (-12)/o*2. Let h + 2*h + y*h**2 + 3*h = 0. What is h?
-2, 0
Let o(l) = -2*l + 2. Let h be o(0). Suppose -3*x + 5 + 13 = 0. Factor -2*y**3 + 3*y**2 + x*y**h + 0*y**3 - y**3 - 12.
-3*(y - 2)**2*(y + 1)
Let d(l) = l**2 - 8*l - 5. Let y be d(9). Find z such that -3*z**2 - 3*z**2 + 2*z**2 + 8*z - y*z**3 = 0.
-2, 0, 1
Let g = 43/15 - 27/10. Let w(a) be the second derivative of 0*a**2 + 1/24*a**4 + 12*a - g*a**3 + 0. Factor w(t).
t*(t - 2)/2
Let u(s) = -4*s**2 + 6*s + 7. Let d(b) = 7*b**2 - 11*b - 13. Let l(m) = -3*d(m) - 5*u(m). Factor l(j).
-(j - 4)*(j + 1)
Suppose -4*v - 310 + 20 = -3*o, -100 = -o + 3*v. Let a be o/30 - ((-48)/(-18))/8. Suppose 38/5*q**2 + a*q**3 - 8/5 + 16/5*q = 0. What is q?
-2, -1, 2/7
Suppose 386*n = 95*n + 1 - 1. Solve 7/2*r - 1/2*r**2 + n = 0 for r.
0, 7
Let q(k) be the third derivative of k**7/105 + 7*k**6/10 - 9*k**5/2 - 133*k**2. Factor q(j).
2*j**2*(j - 3)*(j + 45)
Find s, given that -22*s**2 - 18*s**2 + 27*s - 3*s**3 + 16*s**2 = 0.
-9, 0, 1
Factor 11*i - 17*i + 9*i**2 + 26*i**2 + 2*i**5 - 19*i**2 - 12*i**3.
2*i*(i - 1)**3*(i + 3)
Let a(x) be the second derivative of x**7/504 - x**6/72 + x**5/24 + 8*x**4/3 - 20*x. Let n(c) be the third derivative of a(c). What is v in n(v) = 0?
1
Let i = 9 - 6. Let p be 116/120 + 28/(-35). Factor -1/6*x + 1/6*x**i - p + 1/6*x**2.
(x - 1)*(x + 1)**2/6
Solve 4/5*p + 0 - 4/5*p**3 - 2*p**4 + 2*p**2 = 0.
-1, -2/5, 0, 1
Let d(x) be the third derivative of 121*x**6/1440 - 11*x**5/240 + x**4/96 + 8*x**3/3 + 4*x**2. Let t(k) be the first derivative of d(k). Factor t(f).
(11*f - 1)**2/4
Let i be (2 + 32/(-18))*27/36. Let c(a) be the second derivative of -i*a**3 + 0*a**2 + 6*a + 0 + 1/12*a**4. Factor c(w).
w*(w - 1)
Let l(t) = -35*t**3 - 79*t**2 - 37*t - 1. Let n(c) = -c**3 + c**2 + c + 1. Let y(f) = -l(f) - 4*n(f). Suppose y(g) = 0. Calculate g.
-1, 1/13
Let g(x) be the first derivative of -16/3*x + 10*x**2 + 5/6*x**4 + 31 - 6*x**3. Factor g(q).
2*(q - 4)*(q - 1)*(5*q - 2)/3
Let u be (30/(-45))/(1 + (-51)/45). Let c(p) be the second derivative of -u*p + 1/3*p**3 - p**2 - 1/24*p**4 + 0. Suppose c(a) = 0. What is a?
2
Let x(j) = j**3 + j**2 + j - 1. Let b(n) = -n**4 - 5*n**3 - 13*n**2 + 3*n - 3. Let v be (1/(-5))/(3/5)*-3. Let f(t) = v*b(t) - 3*x(t). Factor f(p).
-p**2*(p + 4)**2
Let g = 37 - 34. Let c = 1/7 + 23/35. Suppose 0 - 2/5*s**g + c*s**2 + 0*s = 0. What is s?
0, 2
Let x(l) = 14*l + 45. Let z be x(6). Find c such that 24 - 2*c**2 + 18*c**2 - z*c**3 - 52*c + 141*c**3 = 0.
-3, 2/3, 1
Let v be (0 - 1)/((-2)/6). Factor -4*k**2 + v*k**2 + k**2 + 5*k - 5*k**2.
-5*k*(k - 1)
Let d(s) be the third derivative of s**6/72 - 5*s**4/24 + 5*s**3/9 - 4*s**2 + 3*s. Suppose d(b) = 0. Calculate b.
-2, 1
Factor -2/9*y**4 + 0 + 0*y + 2/9*y**2 + 0*y**3.
-2*y**2*(y - 1)*(y + 1)/9
Let h(d) be the first derivative of d**6/40 + 3*d**5/4 + 75*d**4/8 + 125*d**3/2 + 25*d**2/2 + 5. Let f(o) be the second derivative of h(o). Factor f(w).
3*(w + 5)**3
Let q = 13171475/161 - 81809. Let h = -6/23 + q. Factor 0*x + 8/7*x**2 - h*x**3 + 2/7*x**4 + 0.
2*x**2*(x - 2)**2/7
Let v(w) be the first derivative of w**7/5460 + w**6/390 + w**5/65 + 2*w**4/39 - 5*w**3/3 - 5. Let o(y) be the third derivative of v(y). Factor o(b).
2*(b + 2)**3/13
Let k(l) be the third derivative of -1/33*l**3 - 8*l**2 + 1/660*l**6 + 0*l + 1/330*l**5 - 1/132*l**4 + 0. Determine t so that k(t) = 0.
-1, 1
Solve 3*n**2 - 12*n - 30 + 67 - 34 - 18 = 0.
-1, 5
Let q(h) be the third derivative of 0*h - 1/1008*h**8 + 0*h**5 + 0*h**4 + 0*h**3 - 8*h**2 + 0*h**6 + 1/630*h**7 + 0. Factor q(c).
-c**4*(c - 1)/3
Let n(a) be the third derivative of a**7/42 - 3*a**6/4 - 10*a**5/3 - 50*a**2. Suppose n(d) = 0. What is d?
-2, 0, 20
Suppose -54 = 5*n - 5*q - 13*q, 4*n = -q + 3. Find p such that -2/17*p**2 + n*p + 0 - 2/17*p**3 = 0.
-1, 0
Let z be ((-27)/30)/((-18)/24*2). Solve 3/5*k**2 + z*k + 0 = 0 for k.
-1, 0
Suppose 19*z - 53 = 23. Let r be 126/30 - -4*z/(-80). Determine d, given that 250*d - 150*d**2 - r*d**4 - 625/4 + 40*d**3 = 0.
5/2
Let w(a) = 20*a**3 + 5*a**2 