a**4 + 2/3*a**2 + 1/3*a**5 + 0*a - 1/3*a**3 + 0.
a**2*(a - 2)*(a - 1)*(a + 1)/3
Let x(p) be the first derivative of -5/3*p**2 - 2/9*p**3 - 16 + 0*p. Factor x(z).
-2*z*(z + 5)/3
Let d(r) = r**2 - 38*r - 3115. Let w be d(78). Let -68/3*n**2 + 2/3*n**w + 16*n**3 - 16/3*n**4 - 4 + 46/3*n = 0. Calculate n.
1, 2, 3
Suppose 0 = -4*z + d + 24, 0 = 4*z + 3*d - 2 - 6. Find q such that -13*q + 5*q**2 - 7*q + 10*q + z = 0.
1
Let h = -1042/27 + 10511/378. Let x = h - -86/7. Factor 1/2*v**2 - x - v.
(v - 3)*(v + 1)/2
Factor -7*o + 0*o**2 + 5*o**2 - 3*o**2 + o.
2*o*(o - 3)
Let -x**4 + 4*x**2 - 2*x**3 - 285 + 285 - x**4 = 0. Calculate x.
-2, 0, 1
Let y(i) be the third derivative of i**7/280 - 3*i**5/20 - i**4/2 - 14*i**2 + 2*i. Factor y(b).
3*b*(b - 4)*(b + 2)**2/4
Let j(p) be the third derivative of p**4 + 0 + 0*p + 6*p**3 + 1/15*p**5 + 13*p**2. Factor j(r).
4*(r + 3)**2
What is w in 5/4*w**5 - 35/4*w**4 + 20*w**3 + 0 - 15*w**2 + 0*w = 0?
0, 2, 3
Suppose -6*n + 49 = -7*n. Let t be (-69)/(-21) + 14/n. Suppose 3/5*a**t - 3/5*a + 0 + 0*a**2 = 0. Calculate a.
-1, 0, 1
Let q(k) be the second derivative of -17*k**7/25200 - k**6/480 + k**5/600 - 5*k**4/4 - 26*k. Let l(f) be the third derivative of q(f). Factor l(o).
-(o + 1)*(17*o - 2)/10
Let u(f) = f**2 - 17*f - 3. Let l = 28 + -44. Let x = -11 - l. Let d(g) = g**2 - 9*g - 1. Let t(b) = x*d(b) - 3*u(b). Factor t(o).
2*(o + 1)*(o + 2)
Suppose 0 = 4*w - 6 + 10, 4*j = -5*w + 3. Factor 1/6*y - 1/3 - 1/6*y**3 + 1/3*y**j.
-(y - 2)*(y - 1)*(y + 1)/6
Let s = 1534 - 1529. Let j(k) be the third derivative of 0 - 2/75*k**5 - 1/15*k**3 - 1/200*k**6 + s*k**2 - 7/120*k**4 + 0*k. Factor j(r).
-(r + 1)**2*(3*r + 2)/5
Let f(u) be the first derivative of 0*u + 0*u**5 + 4 + 0*u**3 + 1/6*u**6 - 1/2*u**4 + 1/2*u**2. What is l in f(l) = 0?
-1, 0, 1
Let z = -66 - -69. Suppose -13*y - 4*y**2 - 10*y + 10*y - z = 0. Calculate y.
-3, -1/4
Let i be (-25 - -44) + (-6 - (3 + -4)). Let u(m) be the first derivative of -1/5*m + 0*m**2 - i + 0*m**4 + 2/15*m**3 - 1/25*m**5. What is w in u(w) = 0?
-1, 1
Let w(f) be the first derivative of 16/15*f**5 + 0*f + 32 + 0*f**3 + 0*f**2 - 1/2*f**4 + 1/3*f**6. Factor w(y).
2*y**3*(y + 3)*(3*y - 1)/3
Let g(c) be the second derivative of c**7/120 + c**6/120 - c**4/6 + 5*c. Let a(p) be the third derivative of g(p). Factor a(t).
3*t*(7*t + 2)
Let g(m) = 7*m + 220*m**2 + 5*m - 20 - 222*m**2 + 0*m. Suppose -1 = 4*h + 7. Let w(c) = -1. Let r(v) = h*w(v) + g(v). Find p such that r(p) = 0.
3
Let n(y) = -y**3 + 21*y**2 - 64*y + 69. Let j(v) = -4*v**3 + 76*v**2 - 224*v + 242. Let t(l) = -5*j(l) + 18*n(l). Solve t(k) = 0.
-4, 1, 4
Let t(b) = 7*b**3 + 7*b**2 - 10*b + 6. Let c(a) = -a**3 - a**2. Let o(i) = -5*c(i) - t(i). Factor o(k).
-2*(k - 1)**2*(k + 3)
Suppose -120 = -5*l - 10. Let o be 420/132 + (-4)/l. Find w, given that 0*w + o*w**2 - w - 2*w + 0*w = 0.
0, 1
Let a be ((-180)/8)/((-2)/(-4)). Let n = 49 + a. Suppose -2/3*q**2 - 1/3*q**3 + 2/3*q**n + 1/3*q + 0 = 0. What is q?
-1, 0, 1/2, 1
Let d(s) be the first derivative of 4*s**5/25 - 9*s**4/20 + 2*s**3/5 - s**2/10 - 64. What is b in d(b) = 0?
0, 1/4, 1
Let s(j) be the third derivative of j**7/1050 - 2*j**6/75 - 9*j**5/50 - 7*j**4/15 - 19*j**3/30 - 11*j**2 - 4. What is c in s(c) = 0?
-1, 19
Let n(y) = 8*y**3 - 97*y**2 - 378*y - 287. Let x(g) = -6*g**3 + 65*g**2 + 252*g + 191. Let f(p) = 5*n(p) + 7*x(p). Determine u, given that f(u) = 0.
-7, -1
Let k(s) = 14*s**2 + 100*s + 502. Let v(g) = -9*g**2 - 67*g - 334. Let w(o) = 5*k(o) + 8*v(o). Factor w(f).
-2*(f + 9)**2
Let d(s) be the second derivative of -3*s**4/2 - 29*s**3/3 - 6*s**2 - 73*s - 2. Determine y, given that d(y) = 0.
-3, -2/9
Let j(b) be the second derivative of b**7/5040 - b**6/288 + b**5/40 - 17*b**4/12 + 18*b. Let f(y) be the third derivative of j(y). Solve f(v) = 0.
2, 3
Let t(f) be the third derivative of -f**8/2688 - f**7/420 - f**6/240 + f**5/240 + 5*f**4/192 + f**3/24 + f**2 - 35. Determine u, given that t(u) = 0.
-2, -1, 1
Let u(w) = -4*w**3 - 5*w**2 + 41*w - 5. Let y(v) = 2*v**3 + 2*v**2 - 18*v + 2. Let a(t) = 2*u(t) + 5*y(t). Factor a(x).
2*x*(x - 2)*(x + 2)
Let f = -44 + 47. Let z(w) be the first derivative of -2/7*w**2 - 4/21*w**f + 0*w + 2. What is q in z(q) = 0?
-1, 0
Let x = -54 - -50. Let a be x/2*(-16)/208. Find n, given that -2/13*n**2 - 4/13*n - a = 0.
-1
Factor -2/7*u**2 + 164/7 + 78/7*u.
-2*(u - 41)*(u + 2)/7
Let h(s) = -s**2 - s + 3. Let r be h(0). Suppose -7*o**2 + 2*o - 2*o**4 + 5*o**5 + 12*o**4 - r*o**2 - 7*o = 0. What is o?
-1, 0, 1
Let u be 4/(-6) + (-197)/231. Let c = u - -45/11. Determine t, given that 24/7*t + c*t**2 + 8/7 = 0.
-2/3
Let i(x) be the third derivative of x**7/42 + 13*x**6/24 + 11*x**5/12 - 65*x**4/24 - 10*x**3 - 39*x**2. What is o in i(o) = 0?
-12, -1, 1
Suppose 0 = -201*z + 203*z - 4352. Let m be (-4)/22 - z/(-2288). Factor 8/13*b**3 - 2/13*b**4 + 4/13*b + 0 - m*b**2.
-2*b*(b - 2)*(b - 1)**2/13
Let s(o) be the first derivative of o**6/27 + 16*o**5/45 + 2*o**4/9 - 44*o**3/27 - 5*o**2/9 + 28*o/9 - 111. Find a such that s(a) = 0.
-7, -2, -1, 1
Let d(n) be the second derivative of 0 - 14*n - 1/48*n**4 + 7/24*n**3 + 0*n**2. Factor d(g).
-g*(g - 7)/4
Let i(k) be the third derivative of -k**7/1680 - 7*k**6/960 - k**5/96 + 7*k**4/192 + k**3/8 - 4*k**2 + 6*k. Factor i(d).
-(d - 1)*(d + 1)**2*(d + 6)/8
Factor 22*f + 8*f + 101 + 26 + 102 - 4 + f**2.
(f + 15)**2
Let u(g) be the first derivative of 2*g**5/35 - 18*g**4/7 + 872*g**3/21 - 288*g**2 + 896*g + 547. Determine v, given that u(v) = 0.
4, 14
Let f(d) be the first derivative of d**3/9 - 11*d**2/6 + 48. Solve f(n) = 0.
0, 11
Let w(g) be the third derivative of g**5/210 + g**4/84 - g**2 + 15. Factor w(m).
2*m*(m + 1)/7
Suppose -10*g + 43 + 7 = 0. Let u(q) be the first derivative of 0*q - 2/5*q**g + 3 + 2/3*q**3 + 0*q**2 + 0*q**4. What is h in u(h) = 0?
-1, 0, 1
Let s(v) be the first derivative of -v**6/18 - 5*v**5/6 - 9*v**4/2 - 104*v**3/9 - 44*v**2/3 - 8*v + 156. Solve s(z) = 0 for z.
-6, -2, -1/2
Let n(v) be the second derivative of 9*v**5/20 - 7*v**4/4 + 5*v**3/2 - 3*v**2/2 + 16*v + 3. Solve n(h) = 0.
1/3, 1
Let x(n) = -105*n**3 - 75*n**2 - 16*n. Suppose -19*t - 14 = -21*t. Let o(v) = 157*v**3 + 113*v**2 + 24*v. Let f(b) = t*x(b) + 5*o(b). Factor f(q).
2*q*(5*q + 2)**2
Let j(x) be the third derivative of x**6/120 - 11*x**5/60 + 7*x**4/24 + 49*x**3/2 - 40*x**2 + x. Determine n, given that j(n) = 0.
-3, 7
Let v(l) be the second derivative of -l**4/18 - 2*l**3/9 - l**2/3 + 10*l + 7. Factor v(n).
-2*(n + 1)**2/3
Let d be (-3)/(-1) + (16 - 5 - 9). Let v(y) be the first derivative of 1/2*y**3 + 3/2*y**2 - 3/10*y**d + 5 - 3/4*y**4 + 0*y. Factor v(q).
-3*q*(q - 1)*(q + 1)*(q + 2)/2
Let k(p) be the first derivative of -8/15*p**3 - 12/5*p + 36 - 11/5*p**2. Let k(v) = 0. Calculate v.
-2, -3/4
Let n = -24074/5 - -4816. Factor 2/5*l**4 + 2/5*l + 4/5 - n*l**2 - 2/5*l**3.
2*(l - 2)*(l - 1)*(l + 1)**2/5
Let i(d) be the first derivative of -3*d**3/8 + 39*d**2/4 + 27*d/2 + 214. Factor i(a).
-3*(a - 18)*(3*a + 2)/8
Let t be 42*34/663 + 24/13 + -2. Factor 3/2*y**4 + 12*y**3 + 9*y**t - 12*y - 21/2.
3*(y - 1)*(y + 1)**2*(y + 7)/2
Let h(c) be the first derivative of c**4/4 + c**3/9 - 9*c**2/2 - 3*c + 64. Factor h(n).
(n - 3)*(n + 3)*(3*n + 1)/3
Suppose 5*q = 3*q - 3*n + 17, 5 = 2*q - n. Let k be -4*(-2)/48*q. Factor 1/2*o**3 + 2/3*o**2 - 1/3*o**4 + 0 - k*o - 1/6*o**5.
-o*(o - 1)**2*(o + 2)**2/6
Let t = -65/22 + 631/154. Let 4/7*w**4 + 0 + 0*w**2 + 0*w - t*w**3 = 0. Calculate w.
0, 2
Let w(i) be the third derivative of i**7/1050 - i**6/450 - i**5/30 - i**4/10 + 6*i**3 - 35*i**2. Let m(v) be the first derivative of w(v). Solve m(a) = 0.
-1, 3
Let k(x) be the second derivative of x**5/30 + x**4/2 - 77*x + 2. Determine r so that k(r) = 0.
-9, 0
Let v(b) be the second derivative of b**5/25 + 4*b**4/15 + 2*b**3/3 + 4*b**2/5 - 56*b. Solve v(r) = 0 for r.
-2, -1
What is s in -128/7 - 22/7*s**2 + 2/7*s**3 - 152/7*s = 0?
-4, -1, 16
Suppose -4*l - 2 = 2*k, -3*k + 7*l = 2*l - 19. Let f be (28/4 - 6)/((-1)/(-4)). Factor -4*n**3 - 6*n**f + 3*n - n**3 - 5*n**3 + n**k.
-3*n*(n + 1)**2*(2*n - 1)
Let x(m) be the third derivative of -5/48*m**4 - 1/6*m**3 + 0 - 1/30*m**5 - 1/240*m**6 - m**2 + 0*m. Factor x(o).
-(o + 1)**2*(o + 2)/2
Let a(o) be the second de