. What is t?
-1, 2, 18
Let f(w) = 2 + w**2 - 2. Let o(j) be the third derivative of j**5/30 - 3*j**4/8 + j**3 + 3*j**2. Let b(u) = f(u) + o(u). Solve b(p) = 0.
1, 2
Let k(h) be the second derivative of h**5/210 - 5*h**4/7 + 225*h**3/7 + 180*h. Factor k(p).
2*p*(p - 45)**2/21
Let o(t) = 6*t**2 + 270*t + 516. Let f be o(-43). Solve -8/15*p**2 + 0*p - 4/15*p**4 - 14/15*p**3 + 2/15*p**5 + f = 0 for p.
-1, 0, 4
Suppose 2*v - 70 - 98 = 0. Factor -36 + v + 3*c**2 + 21*c + 3*c.
3*(c + 4)**2
Suppose 0 = -5*l - h + 19, -4*l - h - 4 = -5*h. Factor -d**3 + l*d**4 - d**3 + 0*d**4 - d**3 - 6*d**2.
3*d**2*(d - 2)*(d + 1)
Let a = -3927 + 15713/4. Let 0 + 0*r - a*r**3 + 1/4*r**2 + r**4 = 0. What is r?
0, 1/4, 1
Suppose 2 = -3*q + w - 5, -2*w = -14. Let q*l - 1/2 + 1/2*l**2 = 0. What is l?
-1, 1
Let b(j) be the first derivative of -3*j**4/28 - j**3 + 60*j**2/7 - 132*j/7 - 125. Solve b(c) = 0.
-11, 2
Let i(z) be the first derivative of z**6/720 + z**5/120 - z**4/16 - 2*z**3/3 - 4. Let x(t) be the third derivative of i(t). Factor x(p).
(p - 1)*(p + 3)/2
Let c(a) = a**5 - 5*a**3 - 5*a**2 + 5*a - 5. Suppose -6*w + 2*w = 12. Let n(x) = x**5 - 3*x**3 - 3*x**2 + 3*x - 3. Let b(v) = w*c(v) + 5*n(v). Factor b(s).
2*s**5
What is j in -11468 + 32*j**2 + 5*j + 4*j**3 - 3*j**3 - 38*j + 11468 = 0?
-33, 0, 1
Let m = -1/805 + 3231/8855. Factor 0 + 0*y - 2/11*y**3 - m*y**2.
-2*y**2*(y + 2)/11
Let t(b) = 2*b**3 - 3*b**2 - 4*b - 33. Let y(q) = q**3 + q + 1. Let n(k) = -t(k) - y(k). Let o(r) be the first derivative of n(r). Factor o(p).
-3*(p - 1)*(3*p + 1)
Suppose 28*a - 29*a = -61. Let t = 63 - a. Factor 81/5*p**3 + 81/5*p**t + 27/5*p + 3/5.
3*(3*p + 1)**3/5
Let h(a) be the second derivative of -3/10*a**6 - a**2 + 0 - 7/6*a**3 + 7/20*a**5 - 10*a + 11/12*a**4. Factor h(m).
-(m - 1)**2*(m + 1)*(9*m + 2)
Let h(y) be the second derivative of -y**6/6 + 2*y**5 - 25*y**4/12 - 35*y**3/3 + 84*y. Suppose h(k) = 0. What is k?
-1, 0, 2, 7
Let f = -2756/21 - -395/3. Let x(h) be the first derivative of 1/7*h**3 - f*h**2 - 9/7*h - 8. Suppose x(r) = 0. What is r?
-1, 3
Let z = 64 + -51. Suppose -17*i = -z*i - 8. Factor -7/5*w**i - 2/5 + 9/5*w.
-(w - 1)*(7*w - 2)/5
Factor 0 + 0*g - 3/8*g**4 + 9/8*g**3 - 3/4*g**2.
-3*g**2*(g - 2)*(g - 1)/8
Let a(i) be the first derivative of -22 - 2/3*i**3 + 0*i + 1/15*i**5 + 4/3*i**2 - 1/4*i**4. Suppose a(j) = 0. Calculate j.
-2, 0, 1, 4
Let n(r) be the first derivative of 91*r**3 + 27*r - 147/4*r**4 - 153/2*r**2 - 27. Factor n(a).
-3*(a - 1)*(7*a - 3)**2
Let y(r) = -5*r**4 - 111*r**3 + 17*r**2 + 99*r + 6. Let w(o) = -10*o**4 - 223*o**3 + 36*o**2 + 197*o + 13. Let i(p) = -6*w(p) + 13*y(p). Factor i(c).
-5*c*(c - 1)*(c + 1)*(c + 21)
Let j(w) be the first derivative of w**5/20 - w**4/4 + w**3/2 - w**2/2 - 32*w - 52. Let f(d) be the first derivative of j(d). Factor f(h).
(h - 1)**3
Let x(r) be the third derivative of -2/15*r**6 + 0 + 0*r + 3*r**2 + 0*r**4 - 1/35*r**7 - 1/5*r**5 + 1/3*r**3. Factor x(j).
-2*(j + 1)**3*(3*j - 1)
Suppose 3*w = 10*w - 28. Factor -13*n**2 - 16*n - 44*n**3 + 5*n**2 + 64*n**3 - 6*n**w.
-2*n*(n - 2)**2*(3*n + 2)
Let l(m) = m + 11. Let j be l(-5). Let w(p) be the second derivative of p + 1/7*p**4 + 1/105*p**j + 0 - 4/21*p**3 + 1/7*p**2 - 2/35*p**5. Factor w(q).
2*(q - 1)**4/7
Suppose -4*r - 5*j + 24 = -3*j, 2*j - 31 = -5*r. Determine s, given that 9*s**3 - 9*s**2 - r + 3*s + 13 - 6 - 3*s**4 = 0.
0, 1
Let v(n) be the first derivative of n**6/360 + n**5/60 + n**4/24 - 32*n**3/3 - 14. Let o(h) be the third derivative of v(h). Factor o(r).
(r + 1)**2
Let s(b) = -b**3 - 15*b**2 - 13*b + 2. Let u be s(-13). Let p = 167 + u. Suppose p*o + 1/5*o**2 - 4/5 = 0. Calculate o.
-2, 2
Let b(p) = -p**3 - 22*p**2 - 46*p - 56. Let q be b(-19). Let a = q - -265. Solve a*z + 0*z**2 - 2/11*z**4 + 0 - 2/11*z**3 = 0 for z.
-1, 0
Let y(j) be the first derivative of j**4/32 - 7*j**3/24 + 7*j**2/8 - j + 72. Factor y(a).
(a - 4)*(a - 2)*(a - 1)/8
Let p = -271 + 274. Let f(g) = -2*g**3 + 1. Let y be f(-1). Suppose 3/2*w**5 + 3/2*w**p - y*w + 9/2*w**4 + 0 - 9/2*w**2 = 0. What is w?
-2, -1, 0, 1
Factor -3/2*y**2 + 18*y - 54.
-3*(y - 6)**2/2
Let v(t) = -11*t**2 - t + 6. Suppose -11*a + 8*a = 33. Let u(x) = -21*x**2 - x + 11. Let f(r) = a*v(r) + 6*u(r). Factor f(o).
-5*o*(o - 1)
Let z(g) = 4*g**2 - 28*g + 22. Let p(v) = -v**2 - v + 3. Let u(f) = 6*p(f) - z(f). Find k such that u(k) = 0.
1/5, 2
Let y = -3/28 + 127/140. Let h(u) = u**2 + 2*u - 6. Let p be h(-4). Find s such that -3/5 - 1/5*s**p + y*s = 0.
1, 3
Let m(b) = 4*b**3 + 65*b**2 - 553*b + 1465. Let t(z) = -z**3 - 22*z**2 + 185*z - 488. Let i(k) = 2*m(k) + 7*t(k). Factor i(a).
(a - 9)**2*(a - 6)
Let i = 7/4887 - -3251/4887. Factor -i*b**4 + 0 + 0*b + 4/3*b**3 + 8/3*b**2 - 1/3*b**5.
-b**2*(b - 2)*(b + 2)**2/3
Let n be 3*(-2 + 3)*(-64)/(-672). Factor -n*r**2 - 2/7 + 4/7*r.
-2*(r - 1)**2/7
Let g(u) be the first derivative of -5*u**3/3 - 35*u**2 - 65*u + 29. Suppose g(f) = 0. Calculate f.
-13, -1
Let s(a) = a**2 - 5*a + 4. Let i be s(4). Let l be (-9527)/(-6805) - (22/30 + 0 + 0). Factor i + l*h**2 - 2/3*h.
2*h*(h - 1)/3
Determine p, given that 4/7*p**5 - 12/7*p**4 + 12/7*p**3 + 0*p - 4/7*p**2 + 0 = 0.
0, 1
Let f(r) = 2*r**5 - 2*r**4 + 4*r**3 - 4*r**2 + 2*r - 6. Let b(o) = -o**5 + o**4 - 4*o**3 + 4*o**2 - o + 4. Let g(y) = -4*b(y) - 3*f(y). Solve g(p) = 0 for p.
-1, 1
Let w(g) be the first derivative of g**6/90 - g**5/30 - g**4/3 - 5*g**3/3 - g - 14. Let a(s) be the third derivative of w(s). Let a(o) = 0. Calculate o.
-1, 2
Factor -3344*i**2 - 66*i + 147 + 363*i + 3*i**3 + 3497*i**2.
3*(i + 1)**2*(i + 49)
Factor -2/11*w**2 + 24*w - 262/11.
-2*(w - 131)*(w - 1)/11
Let x(m) = 2*m**3 - 2*m**2 + 2*m - 8. Let d be x(2). Factor 0*g**2 + 0*g + 2/7*g**5 - 2/7*g**d + 0*g**3 + 0.
2*g**4*(g - 1)/7
Let j(q) be the second derivative of -q**6/30 - q**2/2 + 41*q. Let o(f) = -f**5 + 3*f**4 + 2*f**2 + f + 5. Let x(b) = -5*j(b) - o(b). Find y such that x(y) = 0.
-1, 0, 1
Let u(z) be the third derivative of 1/32*z**4 - 1/480*z**6 - 1/12*z**3 + 0*z + 0*z**5 - 13*z**2 + 0. Find y such that u(y) = 0.
-2, 1
Let x(l) be the first derivative of l**6/27 + 2*l**5/45 - 7*l**4/9 + 52*l**3/27 - 19*l**2/9 + 10*l/9 - 26. Determine f so that x(f) = 0.
-5, 1
Solve -2*c**4 + 4596*c**3 + 12*c + 4*c**5 - 4615*c**3 + c**4 + 4*c**2 = 0.
-2, -3/4, 0, 1, 2
Factor -2/5*g**3 - 463050 - 13230*g - 126*g**2.
-2*(g + 105)**3/5
Let h(j) be the third derivative of -j**8/168 + 4*j**7/35 - 14*j**6/15 + 64*j**5/15 - 12*j**4 + 64*j**3/3 - 13*j**2 - 3*j. Suppose h(w) = 0. Calculate w.
2, 4
Let c(y) be the second derivative of -y**7/3780 - y**6/180 - y**5/20 - 3*y**4/4 + 20*y. Let n(s) be the third derivative of c(s). Factor n(o).
-2*(o + 3)**2/3
Let w(p) = p**3 - 22*p. Let l be w(0). Factor 4*a**2 - 16/5*a**3 - 8/5*a + l + 4/5*a**4.
4*a*(a - 2)*(a - 1)**2/5
Let 12*u**2 + 6*u**2 - 295 + 304 - 3*u**2 + 24*u = 0. Calculate u.
-1, -3/5
Find h, given that h**2 - 4*h + h**3 + 61 - 32 - 33 = 0.
-2, -1, 2
Suppose -40 + 92 = 13*m. Let v(d) be the first derivative of -1/10*d**m - 3 + d**2 - 2/15*d**3 - 6/5*d. Solve v(n) = 0 for n.
-3, 1
Find v, given that -3*v**3 - 58*v**3 + 90*v**2 - 81*v**4 + 33*v**2 + 4 - 40*v - 29*v**3 = 0.
-2, 2/9, 1/3
Suppose 0*w - 5*w = 5*d + 1215, 5*d = 2*w + 521. Let b = w - -250. Solve 0 - 1/2*n**4 + 3/4*n**3 - 1/4*n**5 + b*n**2 + n = 0.
-2, -1, 0, 2
Suppose 0*l + 3*l = -4*f + 8, 0 = -l - 3*f + 6. Suppose l = -d - 2*d + p, 2*d = 4*p. Factor -2/9*c**2 + d + 4/9*c.
-2*c*(c - 2)/9
Let s(f) be the third derivative of -f**7/525 - f**6/75 - 2*f**5/75 - 23*f**2. Let s(q) = 0. Calculate q.
-2, 0
Let h(x) be the second derivative of x**7/252 + x**6/36 + x**5/15 + x**4/18 + 2*x + 52. Factor h(d).
d**2*(d + 1)*(d + 2)**2/6
Let m(r) be the third derivative of r**11/1663200 - r**9/100800 - r**8/50400 + r**5/20 - 11*r**2 + 2*r. Let z(l) be the third derivative of m(l). Factor z(g).
g**2*(g - 2)*(g + 1)**2/5
Let x = -23 + 108/5. Let k = x + 87/55. Factor 0*d**2 + 6/11*d**4 + 0 + 0*d + k*d**3.
2*d**3*(3*d + 1)/11
Solve z + z**3 + 190*z**2 + 7*z - 14 - 183*z**2 - 2 = 0 for z.
-4, 1
Find p, given that -8/9*p**3 + 0*p**4 + 2/9*p**5 - 4/9*p**2 + 4/9 + 2/3*p = 0.
-1, 1, 2
Find a, given that 2*a - 2*a**3 - 1066*a**2 + 1100*a**2 - 22 - 28 + 16 = 0.
-1, 1, 17
Let y = -38253/4