4 + 2/7*w - 1/35*w**5 - 3/14*w**2 - 1/21*w**3. Let a(c) = 0. What is c?
-1, 1, 2
Let q = 107 + -104. Suppose u - 5 = -p, 4*u + 15 = -0*u + q*p. Factor 1/3*r - 1/3*r**2 + u.
-r*(r - 1)/3
Let c = -1/55817 + 781447/502353. Factor -2/9*z**2 - c + 16/9*z.
-2*(z - 7)*(z - 1)/9
Suppose 0 = -6*o - 3*i + 5 + 25, -6 = -i. Factor -1/5*f**3 + 0 - 2/5*f - 3/5*f**o.
-f*(f + 1)*(f + 2)/5
Let m = 3266 + -6367/2. Let j = 83 - m. Factor -j*v**3 + 1/2*v**2 + 0 + 0*v.
-v**2*(v - 1)/2
Let j = -42 - -31. Let n(f) = -8*f**2 - 5*f - 11. Let q(l) = 3*l**2 + 2*l + 4. Let i(u) = j*q(u) - 4*n(u). Suppose i(z) = 0. What is z?
-2, 0
Let q(m) be the third derivative of m**7/630 - m**6/30 + m**5/6 - 11*m**4/8 - 11*m**2. Let n(t) be the second derivative of q(t). Factor n(h).
4*(h - 5)*(h - 1)
Let z = -13 + 25. Suppose -4*t + 68 = i + 3*i, 0 = -4*i + z. Let 12*g + t - 4*g**3 - 6 + 0 = 0. Calculate g.
-1, 2
Let v(b) be the third derivative of -b**9/12096 + b**8/4032 + 5*b**5/12 + 23*b**2. Let i(j) be the third derivative of v(j). Let i(c) = 0. Calculate c.
0, 1
Let t(k) be the first derivative of k**6/6 + k**5 + 9*k**4/4 + 7*k**3/3 + k**2 + 56. Factor t(l).
l*(l + 1)**3*(l + 2)
Suppose -2*r + g = -13, r = -3*r - g + 35. Factor 3*v + 16 + 5*v + 4*v**2 + r*v.
4*(v + 2)**2
Let j(y) be the second derivative of y**4/30 - 4*y**3/15 - 12*y**2/5 + 30*y. Factor j(w).
2*(w - 6)*(w + 2)/5
Let i be 28/3*(-31)/(-2). Let v = 146 - i. Factor v - 14/3*s**2 + 10/3*s.
-2*(s - 1)*(7*s + 2)/3
Let v = -88 + 91. Let a(m) be the first derivative of -2*m**2 + 2*m - 4 + 2/3*m**v. Let a(x) = 0. Calculate x.
1
Let r = 608 + -608. Let y(g) be the second derivative of 1/105*g**7 + r*g**2 + 1/50*g**5 + 2/75*g**6 + 0 + 0*g**3 + 0*g**4 + 7*g. Suppose y(t) = 0. Calculate t.
-1, 0
Suppose 0 = -183*d + 321 + 45. Let -10/7*s - 2/7*s**d - 8/7 = 0. What is s?
-4, -1
Suppose 5*s = 4*i - 6 + 1, 5 = -4*i - 5*s. Suppose -3*b = -3*c, -c + 9 = 4*b - 6. Suppose 0 + 4/7*g**2 + i*g - 10/7*g**c - 6/7*g**4 = 0. Calculate g.
-2, 0, 1/3
Let w(j) be the third derivative of j**6/630 - j**5/210 - j**4/7 - 2*j**3/3 - 25*j**2. Let d(n) be the first derivative of w(n). Find r, given that d(r) = 0.
-2, 3
Factor 0 + 7/4*x**4 + 1/4*x**5 + 0*x + x**3 - 3*x**2.
x**2*(x - 1)*(x + 2)*(x + 6)/4
Let g = 25505/77 - 1/11. Let s = g + -330. Solve -2/7*j**3 - 10/7*j - 4/7 - s*j**2 = 0.
-2, -1
Let q(l) be the third derivative of -l**7/350 - l**6/200 + 7*l**5/10 + 44*l**4/5 + 48*l**3 + 379*l**2. Find y such that q(y) = 0.
-4, -3, 10
Let f(g) = 5*g**4 - 85*g**3 + 540*g**2 - 1420*g + 1625. Let b(y) = -4*y - 1. Let m(k) = 25*b(k) + f(k). What is c in m(c) = 0?
4, 5
Let x(l) be the first derivative of -l**6/165 + l**5/22 - 4*l**4/33 + 4*l**3/33 - 6*l + 13. Let a(p) be the first derivative of x(p). Factor a(s).
-2*s*(s - 2)**2*(s - 1)/11
Let c(j) be the second derivative of -4/3*j**3 + 0*j**4 + 0 - 1/420*j**5 - 3*j + 1/1260*j**6 + 0*j**2. Let b(h) be the second derivative of c(h). Factor b(x).
2*x*(x - 1)/7
Let m be -36 + 25 - (-13 - 2). Let -138/5*z**2 - 8/5 + 40*z**m + 2*z**3 - 64/5*z = 0. What is z?
-2/5, -1/4, 1
Let a(g) be the first derivative of g**3 + 51*g**2/8 + 3*g + 189. Factor a(l).
3*(l + 4)*(4*l + 1)/4
Let n(t) be the first derivative of t**3 + 84*t**2 + 2352*t - 60. Factor n(u).
3*(u + 28)**2
Let y = -281 - -283. Let d(k) be the first derivative of 0*k - k**3 + 3/2*k**y + 5. Factor d(s).
-3*s*(s - 1)
Suppose -92*i = -3*t - 96*i - 2, -5*i = 3*t + 4. Suppose 4 = u - 0. Solve -3 + 3/2*s - 3/2*s**3 - 3/2*s**u + 9/2*s**t = 0.
-2, -1, 1
Factor -n**3 + 7*n**5 + 8*n**5 - 14*n**5 + 3*n**3 - 3*n**3 + 13*n**4 - 13*n**2.
n**2*(n - 1)*(n + 1)*(n + 13)
Let g(a) = 12*a**2 - 920*a. Let m(h) = -4*h**2 + 304*h. Let d(q) = 5*g(q) + 16*m(q). Factor d(b).
-4*b*(b - 66)
Let b(k) be the third derivative of k**6/160 + k**5/15 - 5*k**4/8 + 4*k**3/3 + 2*k**2 + 39. Suppose b(i) = 0. What is i?
-8, 2/3, 2
Solve 67*c + 53*c + 13 - 69*c**2 + 35 + 9*c**3 + 0*c**3 = 0 for c.
-1/3, 4
Factor 8*q**2 - 2*q**2 - 2*q**4 + 3*q**2 + 8*q**3 + q**2 - 8*q - 8*q**2.
-2*q*(q - 4)*(q - 1)*(q + 1)
Let r = 7483/5 - 1496. Find z, given that 0*z + 0 - r*z**2 + 1/5*z**3 = 0.
0, 3
Determine i so that 36/5*i**2 - 4/5*i**4 + 0 - 12/5*i**3 + 108/5*i = 0.
-3, 0, 3
Let v(s) be the first derivative of 4*s**3/3 + 4*s**2 - 60*s - 143. Let v(z) = 0. Calculate z.
-5, 3
Let r(z) be the first derivative of -1/2*z**6 + 9/2*z**2 - 3 + 8/3*z**3 + 2*z - 3/2*z**4 - 2*z**5. Find m such that r(m) = 0.
-2, -1, -1/3, 1
Determine b so that -b**5 - 239*b - 3*b**5 + 6*b**5 - 36*b**2 + 6*b**4 - 33*b**3 + 347*b + b**5 = 0.
-3, 0, 2
Determine v so that -189/4*v + 57/4*v**2 - 3/4*v**3 + 135/4 = 0.
1, 3, 15
Let s(f) = -4*f**3 + 24*f**2 + 32*f + 18. Let v(o) = o**3 - 8*o**2 - 11*o - 6. Let h(d) = -2*s(d) - 7*v(d). Find y such that h(y) = 0.
-6, -1
Let a = -25 - -27. Let x = -69/7 + 10. Factor x*u**a + 4/7*u + 4/7.
(u + 2)**2/7
Determine l, given that -16/9 - 8*l - 4/9*l**4 + 10*l**3 - 2*l**5 + 20/9*l**2 = 0.
-2, -1, -2/9, 1, 2
Let g(v) = v**2 - 1. Let b(u) = -3*u**3 - 48*u**2 - 48*u + 585. Let t(k) = b(k) + 9*g(k). Find d such that t(d) = 0.
-8, 3
Let p = 27481 + -27478. Solve -88/17 + 448/17*c - 590/17*c**2 + 50/17*c**p = 0.
2/5, 11
Factor -57*o**3 + 52*o**3 + 3*o**2 - 36*o + 22*o**3 + 19*o**3 - 3*o**4.
-3*o*(o - 12)*(o - 1)*(o + 1)
Suppose 0 = 2*l + 66 - 70. Let k(q) be the first derivative of 0*q + 9/5*q**3 + 5 + 27/10*q**l + 1/25*q**5 + 9/20*q**4. Factor k(f).
f*(f + 3)**3/5
Let q(o) = -18*o**2 + 62*o + 26. Let u(a) = 19*a**2 - 63*a - 27. Let b be 35/(-14)*12/(-5). Let t(w) = b*u(w) + 7*q(w). Factor t(g).
-4*(g - 5)*(3*g + 1)
Let f be ((-144)/(-30))/(-6)*3/(-24). Let c(q) be the third derivative of 0 + 0*q**3 - 2*q**2 - f*q**5 + 0*q + 1/6*q**4. Factor c(y).
-2*y*(3*y - 2)
Factor 56*i + 7 - 80*i - 7 - 4*i**2.
-4*i*(i + 6)
Let p(q) be the second derivative of -q**4/3 + 22*q**3/3 + 84*q**2 + 3*q + 21. Suppose p(n) = 0. Calculate n.
-3, 14
Factor -21/5*c**2 - 3*c**3 - 6/5*c + 0.
-3*c*(c + 1)*(5*c + 2)/5
Let q(h) be the second derivative of -h**6/6 + 3*h**5/4 - 30*h + 1. Factor q(o).
-5*o**3*(o - 3)
Let m(c) = 39*c - 1246. Let g be m(32). Find b such that 4/3 - g*b + 2/3*b**2 = 0.
1, 2
Let b = 82/3 + -27. Let a = 172 + -170. Factor b*l**a + 0*l + 0.
l**2/3
Let i(d) be the third derivative of -d**8/1512 + d**7/315 + d**6/180 - 7*d**5/270 - d**4/18 - 4*d**2 - 26*d. Solve i(c) = 0.
-1, 0, 2, 3
Let k be 3/4 - (-19)/(-4). Let q = k + 3. Let j(n) = -n**2 + n - 1. Let z(m) = -4*m**4 - 4*m**2 + 8*m - 8. Let p(o) = q*z(o) + 8*j(o). Let p(b) = 0. What is b?
-1, 0, 1
Let r(q) = q**3 + q**2 - 2*q - 1. Let g(v) = v**4 - 7*v**3 + 4*v**2 + 2*v + 1. Let a(u) = 3*g(u) + 3*r(u). What is n in a(n) = 0?
0, 1, 5
Let w(d) be the second derivative of -14*d + 16/3*d**3 + 0 + 0*d**2 - 1/3*d**4. Solve w(f) = 0 for f.
0, 8
Let y(c) be the third derivative of -4/39*c**3 - 1/39*c**4 + 1/130*c**5 + 0 + 0*c - 16*c**2. Find i, given that y(i) = 0.
-2/3, 2
Let p(f) be the first derivative of f**7/210 + f**6/24 + 2*f**5/15 + f**4/6 + f**2 + 20. Let c(s) be the second derivative of p(s). Factor c(d).
d*(d + 1)*(d + 2)**2
Factor -2/13*t - 4/13*t**2 + 0 - 2/13*t**3.
-2*t*(t + 1)**2/13
Let b = 4588 + -4588. Solve b - 3/2*w + 33/8*w**3 - 9/4*w**4 + 3/2*w**2 = 0.
-2/3, 0, 1/2, 2
Let o(k) be the first derivative of -k**4 + 32*k**3/3 - 40*k**2 + 64*k - 95. Factor o(z).
-4*(z - 4)*(z - 2)**2
Let b(k) be the second derivative of k**3/6 + 3*k**2 + 8*k. Let q be b(-6). Factor -4/3*w**2 + 0*w - 2/3*w**3 + q.
-2*w**2*(w + 2)/3
Let r be 15/(-108)*4 - (-1 - 0). Let d(x) be the second derivative of -r*x**2 - 8/27*x**3 - 1/90*x**5 - 5*x - 5/54*x**4 + 0. What is a in d(a) = 0?
-2, -1
Let l be ((-25)/(-7) - 4) + -6*3/(-6). Factor -l*k**2 - 3/7*k + 3/7*k**3 + 18/7.
3*(k - 6)*(k - 1)*(k + 1)/7
Determine n so that 2/3*n**3 - 10/3*n**2 + 0 + 0*n = 0.
0, 5
Let p(o) be the first derivative of o**4/6 - o**2 - 4*o + 3. Let y(t) be the first derivative of p(t). Suppose y(h) = 0. What is h?
-1, 1
Let a be (1/(-2) + -1)*14. Let h be -18*(a/9 - -2). Determine o so that 4*o**2 + 2*o**3 - 4*o**3 - 12*o**4 + 15*o + 2*o**2 + h - 3*o**5 - 10*o**3 = 0.
-2, -1, 1
Let o(i) be the first derivative of -3*i**2 - 3/4*i**4 + 0*i + 1/4*i**6 + 4 - 2/15*i**5 - 2/3*i**3. Let r(t) be the second de