-w**6/24 + 11*w**5/4 - 60*w**4 + 640*w**3/3 - 18*w**2 + 2*w. Suppose r(z) = 0. What is z?
1, 16
Solve 0*c + 6/13*c**3 + 0 + 0*c**2 + 2/13*c**4 = 0 for c.
-3, 0
Let w(g) = -g**4 - g**3 + g - 1. Let q(h) = -h**4 - 31*h**3 - 15*h**2 + 91*h - 56. Let l(p) = q(p) - 6*w(p). Let l(y) = 0. What is y?
-2, 1, 5
Suppose -2*v - 14 = -2*a, -3*v - 5 + 2 = 3*a. Let n(t) = -4*t**2 + 20*t - 36. Let s(z) = -z - 1. Let d(r) = v*s(r) + n(r). Find l such that d(l) = 0.
2, 4
Let g be 3/(3 + 0 + -2). Suppose 5*o - g*o - 6 = 0. Factor -6*y**3 - 3*y + 11*y + 3*y**2 - 2*y**4 - o*y**2.
-2*y*(y - 1)*(y + 2)**2
Let z be 7/21 + 42/(-144). Let r(h) be the first derivative of -1/6*h**2 + 0*h - z*h**4 - 3 + 1/6*h**3. Factor r(c).
-c*(c - 2)*(c - 1)/6
Let w(o) be the second derivative of -12*o + 0 - o**2 + 1/6*o**4 + 0*o**3. Determine u, given that w(u) = 0.
-1, 1
Let i(t) be the first derivative of -t**3/3 + 27*t**2/2 + 28*t - 92. Let i(r) = 0. What is r?
-1, 28
Solve 564*d**2 - 600 + 56*d**4 + 304*d + 113*d**3 + 648 + 211*d**3 = 0 for d.
-3, -2, -1/2, -2/7
Let i = 746 + -743. Factor 1/3*b - 1/3*b**i + 2/3 - 2/3*b**2.
-(b - 1)*(b + 1)*(b + 2)/3
Let o be -2*3/3 - -4. Factor -32 + 3*c**o + 32 - 3*c.
3*c*(c - 1)
Let d = 16 + -14. Suppose -5*w = -d*w - 6. Determine x so that 77*x**3 - 65*x**3 + 6*x - 2*x**4 - 15*x**w - x**4 = 0.
0, 1, 2
Let l(u) be the second derivative of -u**4/32 + 3*u**3/16 + 15*u**2/8 - 18*u. Suppose l(a) = 0. What is a?
-2, 5
Let l be 7/(-42) - (5 + (-80)/12). Suppose -3*j = -4*f - 27 + 2, -5*j - 5 = 5*f. Factor -15/2*g**j + 12 - 9*g**2 + 6*g - l*g**4.
-3*(g - 1)*(g + 2)**3/2
Suppose -3*c + 90 = 222. Let d be c/(-77) + (-34)/(-14). Solve -d*i**2 + 23*i - 4 - 5 - 11*i = 0.
1, 3
Let z be (-1 + -2)/((-138)/(-161)*-7). Find d, given that 0 - z*d**2 - d = 0.
-2, 0
Let b(k) be the second derivative of k**9/30240 - k**8/6720 + k**7/5040 + 3*k**4/4 + 12*k. Let p(t) be the third derivative of b(t). Factor p(c).
c**2*(c - 1)**2/2
Suppose 23*b - 8 = 19*b. Factor 0*g**2 + 20 - 15*g + 9*g**b - 14*g**2.
-5*(g - 1)*(g + 4)
Let i(l) = l + 20. Let o be i(-16). Let u(q) be the first derivative of 1/2*q**o + 4/3*q**3 - 2 + q**2 + 0*q. Solve u(b) = 0 for b.
-1, 0
Let k = -12443563/3276 - -53181/14. Let p = k + -1/52. Factor 0 - 2/9*n**2 + p*n.
-2*n*(n - 1)/9
What is u in 0 + 40/9*u + 14/9*u**4 - 128/9*u**2 - 46/9*u**3 = 0?
-2, 0, 2/7, 5
Factor -44/7*j**2 - 80/7*j + 16/7.
-4*(j + 2)*(11*j - 2)/7
Let t(z) = -z**4 + 3*z**3 + 15*z**2 + z - 9. Let f(r) = -2*r**4 + 7*r**3 + 32*r**2 + r - 17. Let q(k) = -3*f(k) + 7*t(k). Factor q(j).
-(j - 3)*(j - 1)*(j + 2)**2
Suppose 2*d = -4*d. Solve 9*p + d*p**2 + 3*p**3 + 5*p**2 + 7*p**2 + 0*p = 0.
-3, -1, 0
Suppose -1/4*h**4 + 0*h - 1/4*h**2 + 1/2*h**3 + 0 = 0. What is h?
0, 1
Determine l, given that 0*l**5 - 70*l**4 + 17*l**3 - l**5 - l**5 - 3*l**5 - 137*l**3 = 0.
-12, -2, 0
Let z(b) be the second derivative of -b**5/40 - 5*b**4/24 - b**3/3 + 87*b. Suppose z(k) = 0. Calculate k.
-4, -1, 0
Suppose 3*y + 3*j = 5 + 7, 4*j - 8 = 0. Let -5*h + 3*h**y - 2*h + h = 0. What is h?
0, 2
Let y(m) be the third derivative of -m**6/60 + 103*m**5/10 - 10609*m**4/4 + 1092727*m**3/3 - 109*m**2. Factor y(a).
-2*(a - 103)**3
Factor -9/2*g + 9*g**2 - 15 - 3/2*g**3.
-3*(g - 5)*(g - 2)*(g + 1)/2
Solve 5/3*s**2 - 30*s + 0 = 0.
0, 18
Let k(w) = -7*w + 19. Let u(x) = x - 1. Let g(h) = k(h) + 6*u(h). Let a be g(9). Factor 4*b + 12*b**2 - a*b**3 - 9*b**4 - 5*b**4 + 2*b**4.
-4*b*(b - 1)*(b + 1)*(3*b + 1)
Let t(i) be the second derivative of i**7/84 + i**6/20 + 10*i. Suppose t(m) = 0. Calculate m.
-3, 0
Let q(b) be the third derivative of -b**6/120 + b**5/60 + 74*b**2 - 2*b. Factor q(r).
-r**2*(r - 1)
Let d = 72 - 66. Find x, given that -63*x + 39*x - d*x**2 + 3*x**2 - 48 = 0.
-4
Let n be ((30/168)/((-5)/180))/(4/(-14)). Factor 0 - 27/4*l**5 - 3*l + 15*l**2 + n*l**4 - 111/4*l**3.
-3*l*(l - 1)**2*(3*l - 2)**2/4
Suppose 3*y + 10 = 4. Let r be (-6)/(-2) + y + 1. What is s in r*s**4 + 30*s**2 - 30*s**2 = 0?
0
Let l(o) be the second derivative of 1/18*o**4 + 0 - 14*o - 10/9*o**3 + 25/3*o**2. Solve l(d) = 0.
5
Let w(b) be the first derivative of -b**4/20 + 146*b**3/15 - 289*b**2/10 + 144*b/5 + 520. Factor w(i).
-(i - 144)*(i - 1)**2/5
Solve -51/7*p**2 + 60/7*p + 108/7 - 3/7*p**3 = 0 for p.
-18, -1, 2
Let s(i) = 4*i**3 - 9*i - 30. Let j(b) = -11*b**3 - b**2 + 27*b + 89. Let w(v) = 3*j(v) + 8*s(v). Determine f so that w(f) = 0.
-3, 3
Let z(g) = -2*g - 23. Let y be z(-10). Let o be (-2 + -4)/(0 + y). Let 9/4*m - 3/4*m**o - 3/2 = 0. Calculate m.
1, 2
Let g(t) be the second derivative of t**5/20 + t**4/4 - 2*t**2 - 2*t. Let g(n) = 0. What is n?
-2, 1
Let h be -9 + 7 - 24/(-4). Suppose -4*w = 3*v + h, v + 4 = -0. Suppose 1/3*l - 1/3*l**w + 0 - 1/3*l**3 + 1/3*l**4 = 0. Calculate l.
-1, 0, 1
Factor 28*h**2 + 0*h**3 - 2*h**3 - 110*h - 326 + 410.
-2*(h - 7)*(h - 6)*(h - 1)
Let t(z) = 4*z**3 + 4*z**2 - 20*z + 16. Let q(g) = 5*g**3 + 5*g**2 - 20*g + 16. Let l(s) = 4*q(s) - 6*t(s). Solve l(j) = 0 for j.
-4, 1, 2
Suppose 5*h - 30*i + 27*i - 4 = 0, 5*h - 6 = 2*i. Find l such that -1/4*l**h + 1/4*l + 1/2 = 0.
-1, 2
Suppose 2*w = -11 + 25. Suppose -w*d**2 + d**2 - 3*d + 12*d = 0. Calculate d.
0, 3/2
Let q(h) = -11*h**3 + h**2. Let j be q(-1). Solve 4*c**4 + c**4 + 8*c**2 - c**4 - j*c**3 = 0.
0, 1, 2
Let w = 412 - 2058/5. Determine d, given that -w*d**2 + 0*d + 2/5*d**4 + 1/5*d**3 + 0 - 1/5*d**5 = 0.
-1, 0, 1, 2
Let l(v) be the third derivative of -v**8/3360 + v**7/1260 + v**6/45 - v**5/5 + 9*v**4/8 + 16*v**2. Let h(u) be the second derivative of l(u). Factor h(m).
-2*(m - 2)**2*(m + 3)
Let 98/5*b**3 - 52/5*b**4 + 48/5 - 104/5*b + 6/5*b**5 + 4/5*b**2 = 0. What is b?
-1, 2/3, 1, 2, 6
Let y = -15 + 17. Factor 4 + 4*a + a**y + 4*a - a - 2*a.
(a + 1)*(a + 4)
Factor 1/4*k**2 + 1/4 - 1/2*k.
(k - 1)**2/4
Let d(s) be the third derivative of -s**7/105 + 3*s**6/20 + s**5/30 - 3*s**4/4 + 61*s**2. Factor d(q).
-2*q*(q - 9)*(q - 1)*(q + 1)
Determine l so that 212/3*l - 7*l**4 + 0 - 1121/3*l**3 - 140*l**2 = 0.
-53, -2/3, 0, 2/7
Let f be (1 + 2/14)*7. Find z, given that 5*z**2 + 5*z**3 - 8*z - f*z + 6*z = 0.
-2, 0, 1
Let z(h) be the second derivative of -1/3*h**4 + 0 - 18*h**2 - 4*h**3 - 8*h. Solve z(i) = 0 for i.
-3
Let o(u) = -6*u - 2. Let g(v) = -31*v - 11. Let t(d) = 2*g(d) - 11*o(d). Let w be t(1). Let 4*i**2 + 5*i**2 - w*i**4 - 2*i - 5*i**2 + 2*i**5 = 0. What is i?
-1, 0, 1
Suppose -2 = 4*p - 2*w, 4*w - 3 = 1. Suppose p*g - 10*g = -10. Factor g + 1/3*q**2 + 4/3*q.
(q + 1)*(q + 3)/3
Let b(r) be the first derivative of r**3/3 - r - 99. Factor b(j).
(j - 1)*(j + 1)
Suppose 1/3*d**4 - 5/3*d**3 + d**2 + 0 + 3*d = 0. Calculate d.
-1, 0, 3
Let r(p) be the third derivative of -p**6/240 + p**5/240 + p**4/96 - 11*p**2 - p. Factor r(n).
-n*(n - 1)*(2*n + 1)/4
Suppose p + 9 = -2*p. Let g(k) = k**3 + 2*k**2 - 5*k - 4. Let v be g(p). Factor 0 + 0*h - 2/15*h**3 + 0*h**v.
-2*h**3/15
Let c(l) be the first derivative of 3*l**2 - 2*l**4 - 6*l + 4*l**4 - 3*l**3 - l**4 + 5*l + 7. Factor c(q).
(q - 1)**2*(4*q - 1)
Let z = -40 - -55. Find q, given that -6*q + 2*q**2 + 11*q - z + 5*q + 3*q**2 = 0.
-3, 1
Let 164*k**2 + 539699 + 17328*k + 64*k**2 + k**3 - 100723 + 0*k**3 = 0. Calculate k.
-76
Let t be (-135)/6*(-67)/402. Factor 9/4*p**2 - 6 - t*p.
3*(p + 1)*(3*p - 8)/4
Let x(u) = -7*u**3 - 95*u**2 - 1093*u - 3993. Let t(j) = 71*j**3 - 72*j**3 - j + j**2 + 0*j. Let l(d) = -4*t(d) + x(d). Factor l(f).
-3*(f + 11)**3
Let k = 233 - 223. Suppose 25 = k*v + 5. Suppose -1/3*t**5 - 4/3*t**v - 1/3*t - 2*t**3 + 0 - 4/3*t**4 = 0. Calculate t.
-1, 0
Solve 0*u - 2/9*u**4 + 20*u**2 + 86/9*u**3 + 0 = 0.
-2, 0, 45
Let a(h) be the third derivative of -h**8/151200 + 2*h**7/4725 - 8*h**6/675 + h**5/5 + h**4/8 - 54*h**2. Let t(v) be the third derivative of a(v). Factor t(b).
-2*(b - 8)**2/15
Let x(l) be the first derivative of 4*l**3 + 0*l - 1/2*l**4 - 2/5*l**5 - 30 + 0*l**2. Factor x(p).
-2*p**2*(p - 2)*(p + 3)
Let y(h) be the second derivative of 5*h**4/18 + 28*h**3/9 - 4*h**2 - 58*h. Factor y(z).
2*(z + 6)*(5*z - 2)/3
Suppose -47*l - 18*l + 80 - 12*l**2 - 3*l = 0. What is l?
-20/3, 1
Let j be 828/180 + (-3)/5 - (-80)/(-28). Factor -2*d**3 - 30/7*d**2 - 2/7*d**4 - j - 26/7*d.
-2*(d + 1)**3*(d + 4)/7
Let f be 7/28 - (-46)/8. Suppose 0 = 3*x - f*