10 + 4*t**4/9 - 16*t**3/27 - 17*t. Factor h(k).
2*k*(k - 4)**2*(k - 1)/9
Let i(n) = -2*n**3. Let b(z) = -z**2 - 2*z - 1. Let c be b(-2). Let a(d) = d. Let r(p) = c*i(p) - 2*a(p). Determine t, given that r(t) = 0.
-1, 0, 1
Factor 4*l + l**3 - 2*l**3 + 0*l**3.
-l*(l - 2)*(l + 2)
Let 2*p + 13/2*p**3 + 0 + 1/2*p**5 + 6*p**2 + 3*p**4 = 0. What is p?
-2, -1, 0
Let o be 24/15*(-5)/(-6). Solve o + r**4 - 8/3*r + 17/3*r**3 - 7/3*r**2 - 3*r**5 = 0.
-1, 2/3, 1
Let v = -118 + 592/5. Suppose -v*o**2 - 2/5*o**3 + 0 + 0*o = 0. Calculate o.
-1, 0
Let x(v) = -v**4 + 12*v**3 + 3*v**2 + 8*v. Let h(c) = 2*c**4 - 36*c**3 - 10*c**2 - 23*c. Suppose -4*t + 0*t - 24 = 0. Let p(i) = t*h(i) - 17*x(i). Factor p(j).
j*(j + 1)**2*(5*j + 2)
Let r = -8 + 8. Factor r*b + 3*b - 5*b + 0*b - 2*b**2.
-2*b*(b + 1)
Let v(h) be the first derivative of -h**5/150 - h**4/30 - h**2 + 3. Let o(f) be the second derivative of v(f). Factor o(l).
-2*l*(l + 2)/5
Find j, given that 10/21*j**2 + 4/21*j + 0 + 2/21*j**3 - 10/21*j**4 - 2/7*j**5 = 0.
-1, -2/3, 0, 1
Let q be 9/(14/10*30/12). Solve 40/7*s + q*s**2 + 8/7 = 0.
-2, -2/9
Let g be 2 + (-2 - -1) + 184. Let w be (-4)/10 + g/25. Let o(n) = 4*n**2 + 3*n - 1. Let h(j) = 9*j**2 + 7*j - 2. Let v(b) = w*o(b) - 3*h(b). Factor v(l).
(l - 1)*(l + 1)
Let z = -203/6 - -34. Factor -z*j**2 - 1/6 + 1/3*j.
-(j - 1)**2/6
Suppose 3*s = 2*g + 10, -3*s + 3*g + 2 + 13 = 0. Let h(d) be the first derivative of -3 + 0*d + s*d**3 - 2/15*d**5 - 1/6*d**4 + 0*d**2. What is b in h(b) = 0?
-1, 0
Let c be ((-3)/6)/(2/(-4)). Suppose -8 = -3*o + c. Find q such that 0 - q + 0 - 2*q**2 + 0*q**o - q**3 = 0.
-1, 0
Factor -p + 9*p**2 - 8*p - 8*p + 20*p + 3*p**4 + 9*p**3.
3*p*(p + 1)**3
Let y(t) = t**2 + t - 1. Let u be y(-3). Let v be 14/10 - u/5. Suppose 2/5*n**4 + 0*n + 0*n**2 + 4/5*n**5 + 0 - v*n**3 = 0. What is n?
-1, 0, 1/2
Let m(v) be the second derivative of v**7/336 - v**5/40 - v**4/48 + v**3/16 + v**2/8 + 17*v. Factor m(h).
(h - 2)*(h - 1)*(h + 1)**3/8
Let h(w) be the third derivative of w**6/360 + w**5/180 - 5*w**4/72 + w**3/6 - 8*w**2. Solve h(z) = 0 for z.
-3, 1
Let p(u) be the first derivative of u**5/330 - u**4/66 + u**3/33 - u**2/2 - 6. Let g(o) be the second derivative of p(o). Factor g(l).
2*(l - 1)**2/11
Let c(m) be the second derivative of m**7/273 - m**6/195 - 6*m. Suppose c(d) = 0. What is d?
0, 1
Let a(c) be the second derivative of c**5/20 - 5*c**4/12 + c**3/3 - 7*c**2/2 + 3*c. Let l be a(5). Factor -20*z**3 - z - 4*z**2 - z + 18*z**l.
-2*z*(z + 1)**2
Suppose -16 = 3*n - 2*z, -5*n - 35 + 5 = -5*z. Let k be ((-4)/(-28))/(n/(-7)). Factor 3/4*w**2 + 0 + 1/2*w + k*w**3.
w*(w + 1)*(w + 2)/4
Let o(i) be the second derivative of -i**4/48 + i**2/8 + 15*i. Let o(f) = 0. Calculate f.
-1, 1
Let h(w) be the second derivative of -w**5/120 - w**4/48 - 4*w**2 + 7*w. Let j(x) be the first derivative of h(x). Find z, given that j(z) = 0.
-1, 0
Let k be 3/4*23/((-690)/(-20)). Find c, given that 1/2*c**2 - 1/4*c**3 - k + 1/4*c = 0.
-1, 1, 2
Suppose 12*s**3 + 378/5*s**2 + 3/5*s**4 - 1029/5 + 588/5*s = 0. What is s?
-7, 1
Let b(c) be the third derivative of -c**6/240 + c**5/40 - c**3/3 + 9*c**2. Let b(r) = 0. What is r?
-1, 2
Suppose 0 = -2*t - 13 + 5. Let x be 1/t + (-309)/(-84). Suppose x*r + 16/7 + 2/7*r**3 + 12/7*r**2 = 0. What is r?
-2
Let i(d) be the third derivative of -d**8/588 + d**6/105 - d**4/42 - 10*d**2. Factor i(q).
-4*q*(q - 1)**2*(q + 1)**2/7
Let a(b) = -2*b + 14. Let y be 6/(-2) + 10/1. Let s be a(y). Factor 0 - 1/3*u**4 - 1/3*u**3 + 0*u + s*u**2.
-u**3*(u + 1)/3
Suppose l**2 + 15*l**3 + 590 - 593 - 34*l**2 + 21*l = 0. What is l?
1/5, 1
Let j(c) = 65*c - 714. Let f be j(11). What is a in -17/4*a**2 - 23/4*a**4 - 5/4*a**5 + f + a - 35/4*a**3 = 0?
-2, -1, 2/5
Factor -2 - 1/2*m**3 - 5/2*m**2 - 4*m.
-(m + 1)*(m + 2)**2/2
Let p be 9/180*4*(-5)/(-2). Factor p*o**4 + 1/2*o**3 + 0 - 1/2*o - 1/2*o**2.
o*(o - 1)*(o + 1)**2/2
Let o(c) be the third derivative of -c**6/60 - c**5/6 - 2*c**4/3 - 4*c**3/3 - 8*c**2. Factor o(n).
-2*(n + 1)*(n + 2)**2
Let v(o) be the second derivative of o**8/3360 + o**7/840 - o**5/120 - o**4/48 + o**3/2 - o. Let w(q) be the second derivative of v(q). Factor w(d).
(d - 1)*(d + 1)**3/2
Let p(w) be the first derivative of w**5/240 - w**3/24 + w**2/2 + 2. Let u(b) be the second derivative of p(b). Factor u(y).
(y - 1)*(y + 1)/4
Suppose 3*t - t - 13 = -h, 5*t = 5*h + 55. Suppose -10 = -5*x - o + 14, 3*o = x - t. Factor 2*c - 2*c**2 + 2*c**2 - 3*c**2 + x*c**2.
2*c*(c + 1)
Let i be (5/((-105)/48))/(-2). Let w = 345/7 + -49. Solve -i*u**3 + w*u + 6/7*u**2 + 0 = 0.
-1/4, 0, 1
Let x(w) be the first derivative of w**4/2 - 8*w**3/5 + 9*w**2/5 - 4*w/5 + 10. Determine d so that x(d) = 0.
2/5, 1
Factor -1/2 - 81/8*w**2 - 9/2*w.
-(9*w + 2)**2/8
Let d = -10 + 5. Let u(n) = 10*n**2 - 24*n - 17. Let g(a) = 39*a**2 - 96*a - 69. Let b(w) = d*g(w) + 21*u(w). Suppose b(r) = 0. Calculate r.
-2/5, 2
Let b(h) be the third derivative of h**8/1344 + h**7/420 - h**5/120 - h**4/96 - 17*h**2. Determine w, given that b(w) = 0.
-1, 0, 1
Let t(a) = -a**2 + 11*a - 8. Let b be t(10). Factor 1 + o + 1/4*o**b.
(o + 2)**2/4
Let v(p) = p**4 - 5*p**3 + 13*p**2 - 4. Let z(m) = 2*m**4 - 6*m**3 + 14*m**2 - 4. Let y(w) = 6*v(w) - 5*z(w). Let y(r) = 0. What is r?
-1, 1
Let x(n) be the first derivative of 6 + 2*n**2 - 8/9*n**3 + 8/3*n. Suppose x(t) = 0. Calculate t.
-1/2, 2
Let q(d) be the first derivative of d**7/1400 - d**6/600 - d**5/200 + d**4/40 + 2*d**3 - 7. Let a(l) be the third derivative of q(l). Factor a(t).
3*(t - 1)**2*(t + 1)/5
Suppose -3/4*v + 3/4*v**2 + 3/4*v**3 - 3/4 = 0. Calculate v.
-1, 1
Let x(v) be the first derivative of 1/3*v**2 + 32/9*v**6 + 3 + 0*v - 25/9*v**3 - 176/15*v**5 + 9*v**4. What is y in x(y) = 0?
0, 1/4, 2
Let h = 2 + -1. Let k(u) = 2*u + u**2 - 1 - 5 + 3. Let c(r) = r - 1. Let f(b) = h*k(b) - 4*c(b). Factor f(v).
(v - 1)**2
Let l(c) = -3*c**2 + 3. Let j(d) = -3*d**2 + d + 4. Let f(q) = -3*j(q) + 4*l(q). Let x(u) = -3 + 7*u**2 + 6 + 7*u - 2. Let m(p) = 10*f(p) + 4*x(p). Factor m(k).
-2*(k - 1)*(k + 2)
Let z = 139/3 + -47. Let k = 7/6 + z. Factor 0 - 1/2*v**2 + k*v.
-v*(v - 1)/2
Factor 5/2 + 8*i + 9*i**2 + 1/2*i**4 + 4*i**3.
(i + 1)**3*(i + 5)/2
Let p(c) be the third derivative of c**6/80 - 7*c**5/240 - c**4/24 - c**3/3 - 2*c**2. Let u(y) be the first derivative of p(y). Let u(q) = 0. Calculate q.
-2/9, 1
Suppose f = -5*u + 4*f + 25, 2*u + 3*f - 10 = 0. Suppose o + 4*a + a + 10 = 0, u*o = a + 2. Factor o + 5*w**2 - 2 + 0*w**2 - 3*w.
(w - 1)*(5*w + 2)
Let r(j) be the second derivative of 7*j**6/150 + 9*j**5/100 + j**4/30 + 6*j. Factor r(z).
z**2*(z + 1)*(7*z + 2)/5
Suppose 11 = 4*d + v, 7*v - 4*v - 1 = -4*d. Suppose 3*s - 22 = -5*l - s, -l = -d*s + 10. Factor 2/7*o**l + 6/7*o + 4/7.
2*(o + 1)*(o + 2)/7
Factor 86*z**2 + 15*z - 89*z**2 - 6*z - 6.
-3*(z - 2)*(z - 1)
Suppose 14*m - 12*m**3 + 6 - 54*m**4 - 4*m - 21*m**5 + 6*m**4 + 42*m**2 + 23*m = 0. Calculate m.
-1, -2/7, 1
Let g(n) be the third derivative of -n**6/1200 + n**4/240 - 19*n**2. Factor g(j).
-j*(j - 1)*(j + 1)/10
Let m(u) = u**2 + 3. Let y be m(-3). Suppose y*z = 14*z. Determine w, given that z + 4/5*w**2 + 8/5*w**4 + 0*w + 18/5*w**3 = 0.
-2, -1/4, 0
Let y = 1/3 + 0. Suppose 2*t = 5 + 1. Factor y*q - 2/3*q**2 + 1/3*q**5 + 1/3 - 2/3*q**t + 1/3*q**4.
(q - 1)**2*(q + 1)**3/3
Let o(h) be the third derivative of -h**6/20 + h**5/30 + 5*h**4/36 + h**3/9 + 2*h**2. What is l in o(l) = 0?
-1/3, 1
Let t be 4 + 10/(-3) - (-1 - -1). What is q in -4/3 - 8/3*q**2 - 10/3*q - t*q**3 = 0?
-2, -1
Let d be ((-3)/(-270))/((-4)/(-10)). Let v(p) be the second derivative of p - 1/18*p**3 + d*p**4 + 0 + 0*p**2. Solve v(i) = 0.
0, 1
Let s(a) be the first derivative of -a**8/840 + a**7/420 + a**6/180 - a**5/60 + a**3/3 + 1. Let x(t) be the third derivative of s(t). Find l such that x(l) = 0.
-1, 0, 1
Let t = 11 - 11. Let m(w) be the second derivative of -1/15*w**3 + 1/15*w**6 + 2/105*w**7 + 3/50*w**5 - 1/30*w**4 + 0*w**2 + t + 2*w. Solve m(x) = 0.
-1, 0, 1/2
Let q(u) be the first derivative of 4/5*u + 1 + 2/15*u**3 + 3/5*u**2. Find t, given that q(t) = 0.
-2, -1
Suppose 25/6*s**5 - 5/6*s**2 + 0 + 5/2*s**3 + 0*s + 15/2*s**4 = 0. Calculate s.
-1, 0, 1/5
Let r(w) be the second derivative of w**5/30 + w**4/18 - 5*w**3/9 + 