4 + 3*w**3 - w**5 + 11*w + 33*w**2.
-3*(w - 2)*(w + 1)**3*(w + 2)
Find x such that 24*x**2 + 4*x**3 - 16*x + 0*x**3 + 3*x**4 - 32 - 6*x**4 - x**4 = 0.
-2, -1, 2
Let l = 2 + 0. Let y be ((-19)/7 - -8) + -5. Suppose 4/7*a - 4/7*a**3 - y*a**4 + 0*a**l + 2/7 = 0. Calculate a.
-1, 1
Let v be 2354/1628 + 2/37. Factor -3/2*j**3 + 3/2 - 3/2*j**2 + v*j.
-3*(j - 1)*(j + 1)**2/2
Let p(g) be the first derivative of -10*g - 5/2*g**2 + 6 + 10*g**3. Determine t so that p(t) = 0.
-1/2, 2/3
Let x(f) = f**3 - 7*f**2 - 23*f + 178. Let a be x(6). Factor 1/8*o**a - 3/8*o**2 - 3/8*o**3 + 11/8*o - 3/4.
(o - 3)*(o - 1)**2*(o + 2)/8
Let u be -3 + 7 + -3 + 5 + -12. Let c be (-2)/14 - u/63*3. Let 4/7*i**3 + 2/7*i**2 + 2/7 - 4/7*i**4 + c*i**5 - 5/7*i = 0. What is i?
-1, 1, 2
Let w(i) be the first derivative of -2*i**5/35 - 4*i**4/7 - 44*i**3/21 - 24*i**2/7 - 18*i/7 - 144. Factor w(s).
-2*(s + 1)**2*(s + 3)**2/7
Factor -2500/7 - 100/7*r - 1/7*r**2.
-(r + 50)**2/7
Factor 0*s**3 - 5/6*s**5 + 0 + 0*s**2 + 5/2*s**4 + 0*s.
-5*s**4*(s - 3)/6
Let z(d) be the third derivative of -d**8/3360 - d**7/1260 + d**6/180 + d**4/8 + 5*d**2. Let p(i) be the second derivative of z(i). Let p(t) = 0. What is t?
-2, 0, 1
Let p(n) = -n + 20. Let m be p(16). Suppose -4*c + m*z - 14 = -38, 3*z = 12. Factor c*x**2 - 2*x**3 - 10*x**2.
-2*x**3
Let q = 161/660 - -1/165. Let r(f) be the first derivative of -1/3*f**3 - 3 + q*f**4 + 0*f + 0*f**2. Factor r(d).
d**2*(d - 1)
Let b = -9 - -69. Suppose -2*o + 18 = 4*v - 42, -4*v + b = -3*o. Determine w, given that v*w**4 - 12/5 - 63/5*w**2 + 12*w - 12*w**3 = 0.
-1, 2/5, 1
Factor -4761/2 + 69*c - 1/2*c**2.
-(c - 69)**2/2
Let q be 0 - -27 - (-1 - -3). Suppose -18 = -2*a + 2*i, i + 0 = 5*a - q. Factor -6 - 5*s**2 + 6*s**2 - 9*s - a*s**2.
-3*(s + 1)*(s + 2)
Let w(b) be the third derivative of -b**7/42 + b**6/24 + b**5/12 - 5*b**4/24 + 41*b**2. Find m such that w(m) = 0.
-1, 0, 1
Let p(q) be the second derivative of -q**6/630 + q**5/70 - q**4/21 + 13*q**3/6 - q. Let f(b) be the second derivative of p(b). Determine n so that f(n) = 0.
1, 2
Let o = -2348 + 119758/51. Let k = o + 11/204. Factor -k + 1/4*p**2 - 1/8*p**3 + 1/8*p.
-(p - 2)*(p - 1)*(p + 1)/8
Suppose 5*t = 4*n - 15, 4*t + 1 = n - 0*n. Determine j so that j**3 + j**3 - 4*j**5 + 5*j**n - 3*j**5 = 0.
-1, 0, 1
Let n(j) = -j**3 + 2*j**2. Let a(i) = -3*i**3 - 9*i**2 + 34*i - 8. Let r(v) = a(v) + n(v). Let r(p) = 0. What is p?
-4, 1/4, 2
Let d = 7 - -9. Let o = d - 12. Determine n so that o*n**2 + 2*n**3 + 7*n - n - 4*n = 0.
-1, 0
Let u(h) = 11*h**2 - 64*h - 9. Let y(l) = 5*l**2 - 31*l - 4. Let c(t) = 4*u(t) - 9*y(t). Factor c(s).
-s*(s - 23)
Let l(r) be the second derivative of -r**6/135 + r**5/90 + 7*r**4/18 - 41*r**3/27 + 20*r**2/9 + 426*r. Solve l(a) = 0 for a.
-5, 1, 4
Determine v, given that 16/9*v**4 + 16/9 + 76/9*v**2 - 2/9*v**5 - 56/9*v - 50/9*v**3 = 0.
1, 2
Suppose 0 = 2*y + 6 + 2. Let g = 6 + y. Suppose 10*c**2 + c**5 + 2*c - 10*c**4 - 6*c + 9*c**5 - g*c**3 - 4*c**5 = 0. Calculate c.
-1, 0, 2/3, 1
Let 101/8 - 25/2*b - 1/8*b**2 = 0. Calculate b.
-101, 1
Let t be (1 + -11)/(-1 + (-162)/14). Let a = t - 6/11. Factor 1/4*f**2 - a + 0*f.
(f - 1)*(f + 1)/4
Let j(l) be the second derivative of l**5/90 - l**4/27 - l**3/3 + 2*l**2 - 4*l - 21. Suppose j(k) = 0. What is k?
-3, 2, 3
What is o in o**3 + 2/5*o**2 - o - 2/5 = 0?
-1, -2/5, 1
Determine o so that 50*o**2 - 201*o - 810 + 5228 + 1141*o = 0.
-47/5
Let l(r) be the second derivative of r**5/12 + 31*r**4/18 + 4*r**3/3 + 209*r. Suppose l(z) = 0. What is z?
-12, -2/5, 0
Let t = 5/882 + 218/441. Solve -1/2*u**5 + t*u**2 + 0 + 0*u - 3/2*u**3 + 3/2*u**4 = 0 for u.
0, 1
Let g(s) be the third derivative of s**6/540 - s**5/27 + 8*s**4/27 - 32*s**3/27 - 102*s**2 - 2*s. Factor g(h).
2*(h - 4)**2*(h - 2)/9
Factor 287*y + 5*y**2 - 317*y + 12*y**3 - 7*y**3.
5*y*(y - 2)*(y + 3)
Factor 21*z + 2*z - 7*z + 26 - 26 + 384*z**2 + 188*z**3.
4*z*(z + 2)*(47*z + 2)
Let w(p) = 25*p**2 + 5160*p + 110905. Let f(g) = -2*g**2 - 430*g - 9242. Let y(o) = -35*f(o) - 3*w(o). Factor y(i).
-5*(i + 43)**2
Let q(x) be the third derivative of -x**6/320 - 3*x**5/80 + 27*x**4/64 - 435*x**2. Find n, given that q(n) = 0.
-9, 0, 3
Factor -2/5*b**2 - 92/5*b + 94/5.
-2*(b - 1)*(b + 47)/5
Let r(p) = 6*p**5 - 12*p**4 - 27*p**3 + 30*p**2 + 66*p + 9. Let b(f) = f**5 + f**4 + f**3 + 2*f**2 + 2*f + 1. Let t(m) = 9*b(m) - r(m). Factor t(k).
3*k*(k - 1)*(k + 2)**2*(k + 4)
Solve 178*t**2 - 228*t**2 + 5*t**3 + 105*t**2 = 0 for t.
-11, 0
Let u(y) be the second derivative of -3*y**2 - 1/72*y**4 + 1/3*y**3 - 3*y + 2. Factor u(m).
-(m - 6)**2/6
Let y(p) be the first derivative of 26/3*p**3 + 4*p - 12 - 11*p**2 - 2*p**4. Factor y(w).
-2*(w - 2)*(w - 1)*(4*w - 1)
Suppose 0 = 31*y - 54*y + 92. Let c(x) be the third derivative of -y*x**2 - 1/12*x**3 - 1/15*x**6 + 0*x + 0 - 3/16*x**4 - 1/5*x**5. Suppose c(w) = 0. What is w?
-1, -1/4
Let k be 212/(-693) - 24/(-84). Let f = 37/198 + k. Factor f*l**2 + 1/3*l - 1/6*l**3 + 0.
-l*(l - 2)*(l + 1)/6
Let r(x) = 254*x + 3305. Let t be r(-13). Factor 14/15*z - 2/15*z**t + 0*z**2 - 4/5.
-2*(z - 2)*(z - 1)*(z + 3)/15
Let a(m) be the third derivative of 0 + 1/30*m**5 + 1/3*m**3 + 8*m**2 + 0*m + 1/6*m**4. Factor a(f).
2*(f + 1)**2
Let m(a) be the third derivative of a**5/40 - 9*a**4/16 - 5*a**3/2 - 60*a**2. Factor m(h).
3*(h - 10)*(h + 1)/2
Suppose 2*j**4 - 1/3*j**5 + 0 + 0*j + 7/3*j**3 + 0*j**2 = 0. Calculate j.
-1, 0, 7
Suppose -5/2 + 109/4*u + 11/4*u**2 = 0. Calculate u.
-10, 1/11
Let n(g) be the second derivative of -23*g**4/18 - 7*g**3/3 + 2*g**2/3 - g + 3. What is p in n(p) = 0?
-1, 2/23
Let i(d) = -d**2 - d. Let w be ((-56)/(-21))/(2/(-9)). Let q(k) = -3*k**3 - 9*k**2 - 9*k - 3. Let f(o) = w*i(o) + q(o). Factor f(y).
-3*(y - 1)**2*(y + 1)
Let i(z) be the second derivative of -z**4/48 + 3*z**3/4 - 81*z**2/8 - 116*z. Factor i(s).
-(s - 9)**2/4
Let a be ((-6)/(-12))/(10/4). Let o = -55 + 55. Factor o + 2/5*z**2 - 1/5*z**3 - a*z.
-z*(z - 1)**2/5
Suppose 34/3*q + 2/3*q**2 + 20 = 0. What is q?
-15, -2
Let z(g) be the first derivative of -g**6/15 - 38*g**5/25 + g**4/10 + 38*g**3/15 + 35. Find r such that z(r) = 0.
-19, -1, 0, 1
Factor -119 - 4*y + 24*y + 139 + 5*y**2.
5*(y + 2)**2
Let s = -33 - -15. Let l be ((-2)/(-5))/((-9)/s). Determine t, given that 2/5*t**4 + l*t**3 + 2/5*t**2 + 0 + 0*t = 0.
-1, 0
Let g be (-873)/(-99) + -9 + (-114)/(-22). Let t(k) be the second derivative of 3*k + 1/2*k**3 + 0 + 0*k**4 - 3/20*k**g + 0*k**2. What is f in t(f) = 0?
-1, 0, 1
Suppose 0 = y + 5*l + 7, -9*y - 10 = -13*y - l. Let w(f) be the first derivative of 1 - 7/3*f**y - 6*f**2 + 4*f. Factor w(r).
-(r + 2)*(7*r - 2)
Suppose 5*w - 110 + 10 = 0. Suppose -3*k - 7*k = -w. Solve -5/2*q + 1 - 1/2*q**3 + 2*q**k = 0.
1, 2
Suppose -6*p = -11*p. Let n(u) be the second derivative of 0 + p*u**2 - 69/40*u**5 + 3/2*u**4 - 3/2*u**6 + 4*u + u**3 - 2/7*u**7. Suppose n(t) = 0. Calculate t.
-2, -1/4, 0, 1/2
Determine t, given that 14/9*t**2 + 0 + 2/9*t**3 - 4*t = 0.
-9, 0, 2
Let m(f) be the second derivative of -2*f**7/105 + f**6/30 + 2*f**5/15 + 11*f**2 - 11*f. Let z(b) be the first derivative of m(b). Factor z(l).
-4*l**2*(l - 2)*(l + 1)
Let o(x) = -8*x - 4 + 1 + 10*x + 4. Let w be o(3). Factor w*n**3 + 11*n - 7*n**2 - 2 - 3*n**2 + 5*n**2 - 11*n**2.
(n - 1)**2*(7*n - 2)
Let v(s) be the first derivative of -s**7/210 + s**6/120 - 39*s**2/2 - 20. Let n(i) be the second derivative of v(i). Determine w, given that n(w) = 0.
0, 1
Let j(d) be the first derivative of d**8/672 - d**7/105 + d**6/48 - d**5/60 - 5*d**2/2 + 10. Let n(b) be the second derivative of j(b). Solve n(k) = 0 for k.
0, 1, 2
Let u(h) be the third derivative of 0*h - 1/20*h**6 + 3/20*h**5 + 0 + 6*h**2 - 1/2*h**3 + 0*h**4. Factor u(m).
-3*(m - 1)**2*(2*m + 1)
Let b(l) = -2*l**2 - l + 5. Let d = -99 - -168. Let v(p) = -9*p**2 - 6*p - 28 - 17 + d. Let a(f) = -24*b(f) + 5*v(f). Factor a(q).
3*q*(q - 2)
Factor 61*r**2 - 28*r**2 + 10*r - 41*r**2 + 2*r**3 + 1 - 5.
2*(r - 2)*(r - 1)**2
Let h(r) be the first derivative of r**5/30 + 43*r**4/24 + 83*r**3/18 + 41*r**2/12 + 807. Factor h(c).
c*(c + 1)**2*(c + 41)/6
Let l(u) be the first derivative of -3*u**4/20 + 2*u**3/5 + 9*u**2/10 + 146. Let l(k) = 0. What is k?
-1, 0, 3
Let t(o) be the first derivative of -