 + 1/30*v**6 + 0 + 9*v + 3/4*v**4 - 1/4*v**5 + v**2. What is r in k(r) = 0?
1, 2
Let m = -3 - -15. Let x be 12/4 - 28/m. Factor -14/3*v**3 - 16/3 - 40/3*v - 12*v**2 - x*v**4.
-2*(v + 1)*(v + 2)**3/3
Determine m so that 2/9*m**4 + 392/9*m**2 + 0*m + 0 - 56/9*m**3 = 0.
0, 14
Suppose 581*t - 579*t = -5*i + 30, i + t = 9. Suppose 2/3*z**5 - 2/3*z**2 + 2/3*z**i + 4*z + 0 - 14/3*z**3 = 0. What is z?
-3, -1, 0, 1, 2
Suppose -3*b = -b. Let z = -237 - -240. What is q in 0*q**4 + b*q**2 + 0 + 1/2*q**5 + 1/2*q - q**z = 0?
-1, 0, 1
Let w = -13412/3 - -4331. Let p = 140 + w. Factor 0*s + 1/3 - p*s**2.
-(s - 1)*(s + 1)/3
Let z be 18 + 7 + 0 + -3. Suppose 4*b - 37 = -f, -f = -0*b + b - z. Factor f*u**3 - 2*u**3 - 3*u**5 - 5*u**2 - 4*u**4 + 8*u**5 - 11*u**4.
5*u**2*(u - 1)**3
Let h(t) be the first derivative of 1/21*t**6 + 13 - 2/21*t**3 + 2/35*t**5 + 0*t**2 - 1/14*t**4 + 0*t. Factor h(q).
2*q**2*(q - 1)*(q + 1)**2/7
Let x(r) be the second derivative of -r**5/20 + 3*r**4/4 - 4*r**3/3 - r + 381. Factor x(s).
-s*(s - 8)*(s - 1)
Let b(j) be the first derivative of j**4/6 + 2*j**3/9 - 2*j**2 + 114. Factor b(f).
2*f*(f - 2)*(f + 3)/3
Let h(n) be the third derivative of 7/60*n**6 + 0*n + 31/30*n**5 + 20/21*n**3 - 6*n**2 + 0 - 34/21*n**4. Determine j, given that h(j) = 0.
-5, 2/7
Let y(m) = -m**2. Let n(t) = 12*t**2 - t - 2. Let q(c) = -2*n(c) - 22*y(c). Factor q(u).
-2*(u - 2)*(u + 1)
Let z(i) be the first derivative of -i**7/294 - 2*i**6/105 - i**5/28 - i**4/42 - 9*i + 26. Let j(x) be the first derivative of z(x). Let j(l) = 0. Calculate l.
-2, -1, 0
Let x(f) = -44*f + 148. Let q(z) = -5 - 3*z + 0*z + 4*z - z**2 + 6. Let r(k) = -4*q(k) + x(k). Let r(o) = 0. What is o?
6
Let h(m) be the second derivative of 2*m**7/105 + m**6/10 + m**5/5 + m**4/6 - 11*m**2/2 + m. Let a(w) be the first derivative of h(w). Factor a(n).
4*n*(n + 1)**3
Let v(s) be the third derivative of 40*s**2 + 0*s - 1/330*s**5 + 0*s**4 + 4/33*s**3 + 0. Factor v(k).
-2*(k - 2)*(k + 2)/11
Let h = -44 - -47. Find s such that -3*s**h - 1 - s**3 - s - 904*s**2 + 905*s**2 + 5*s**3 = 0.
-1, 1
Solve 0 + 39/8*t**2 + 9/2*t + 3/8*t**3 = 0.
-12, -1, 0
Find b such that 144/5*b - 24*b**2 + 18/5*b**4 + 6/5*b**5 + 192/5 - 12*b**3 = 0.
-4, -2, -1, 2
Let j = 128 - 204. Let x = 79 + j. Suppose -3/4*s**2 - 1/4 + 1/4*s**x + 3/4*s = 0. What is s?
1
Let t(y) be the second derivative of -5*y**2 + 5/6*y**3 + 9*y + 0 + 25/4*y**4. What is x in t(x) = 0?
-2/5, 1/3
Let t(k) be the third derivative of -k**5/390 + 77*k**4/78 - 5929*k**3/39 - 1001*k**2. Factor t(m).
-2*(m - 77)**2/13
Let n(k) = -k**2 + 11*k + 11. Let y be n(11). Let s = y - 5. Let 10*j**2 - 12 + 6*j + 2*j + 0 - s*j**2 = 0. What is j?
-3, 1
Let i(q) be the first derivative of -q**8/2520 + q**7/630 - q**6/540 - 3*q**3 + 4. Let c(g) be the third derivative of i(g). Factor c(o).
-2*o**2*(o - 1)**2/3
Suppose 150*d - 3/2*d**4 + 45/2*d**2 + 0 - 9*d**3 = 0. What is d?
-5, 0, 4
Suppose -6071*x + 60 - 3*x**2 - 2*x**2 + 6126*x = 0. What is x?
-1, 12
Suppose 0 = -5*p + 5*k + 18 + 2, 3*p - k - 12 = 0. Factor -17*f + 3*f**p + 0*f + 3*f + 18*f**2 - 24 + 2*f + 15*f**3.
3*(f - 1)*(f + 2)**3
Let g(f) be the first derivative of 2*f**3/27 - 16*f**2/9 + 10*f/3 + 87. Factor g(l).
2*(l - 15)*(l - 1)/9
Let k = -151 - -153. Suppose 3*m**k - 3 + 4483*m + 0 - 4483*m = 0. What is m?
-1, 1
Factor 170 + 125/4*f**3 + 2075/2*f**2 - 845*f.
5*(f + 34)*(5*f - 2)**2/4
Let t(c) = 5*c - 18. Let f be t(18). Let a = 72 - f. Factor -1/4*r**4 + a*r + 0 + 0*r**2 - 1/4*r**3.
-r**3*(r + 1)/4
Let k be (-679)/(-7)*(-3)/(-2 - 1). Let z = 777/8 - k. Solve 1/8*o + z*o**2 + 0 = 0 for o.
-1, 0
Let s be 5*(-1 - (2 + -6)) - 0. Let p be (6/9)/(s/10). Suppose 16/9 + p*c**2 - 14/3*c**3 - 2*c**4 + 40/9*c = 0. Calculate c.
-2, -2/3, 1
Let y(p) = p**2 - 2*p + 1. Let l be y(3). Let s be 2*20/8*l/10. Factor -2/3 + 0*m + 2/3*m**s.
2*(m - 1)*(m + 1)/3
Let s(y) be the first derivative of -y**6/33 - 16*y**5/11 - 273*y**4/11 - 5408*y**3/33 - 2197*y**2/11 + 198. Factor s(w).
-2*w*(w + 1)*(w + 13)**3/11
Factor -4*c**2 - 4 + 5*c**4 + 19*c**2 - 25*c + 0*c**3 - 16 + 25*c**3.
5*(c - 1)*(c + 1)**2*(c + 4)
Let c(w) = 2*w**2 - 31*w + 46. Let j be c(14). Let q(d) be the second derivative of -2/3*d**2 - d**3 - j*d + 11/18*d**4 + 0. Factor q(s).
2*(s - 1)*(11*s + 2)/3
Let z(r) = 3*r**4 + 9*r**2 + 6. Let m(i) = i**3 - 59 - i**4 + 64 - i + 0*i + 8*i**2 + 3*i**4. Let n(v) = -6*m(v) + 5*z(v). Factor n(o).
3*o*(o - 2)*(o - 1)*(o + 1)
Solve -154*z - 1776 + 86 - 955 + 384*z - 5*z**2 = 0 for z.
23
Let t(a) be the third derivative of 2*a**2 + 21/10*a**5 + 147/2*a**4 + 9*a + 1372*a**3 + 1/40*a**6 + 0. Solve t(f) = 0.
-14
Let d be 1*(4 - 1) + (-6 - 32). Let y = d - -37. Let 3/2 + 3/2*c**y + 3*c = 0. Calculate c.
-1
Suppose 2*v + 308 = -4*s, 6*v - 5*v + 156 = -s. Let q = v - -160. Solve 2/5*z - 4/5 + 2/5*z**q = 0.
-2, 1
Suppose 14/9*y**4 + 2/9*y**5 - 14/9*y**2 + 4*y - 38/9*y**3 + 0 = 0. Calculate y.
-9, -1, 0, 1, 2
Suppose 11*p - 9*p - 159 = -51*p. Find f, given that -3/4*f**2 + 0 - 1/4*f**p - 1/2*f = 0.
-2, -1, 0
Let n = 1453/4510 + 17/410. Determine o so that -n - 8/11*o**2 + 2/11*o**3 + 10/11*o = 0.
1, 2
Let z(h) = h**3 + 2*h**2 - 1. Let p be z(1). Find v, given that -v**3 + 0*v**3 + 7*v**2 - 5*v**p = 0.
0, 2
Factor -112*h - 113*h + 350*h - 116*h + 3*h**2.
3*h*(h + 3)
Factor 107*c**3 - 20*c - 122*c**3 + 2*c**5 - 40*c**2 + 10*c**4 + 3*c**5.
5*c*(c - 2)*(c + 1)**2*(c + 2)
Let m(r) = -7. Let o(w) = -6. Let y(z) = -5*m(z) + 6*o(z). Let t(n) = -n**2 + 6. Let a(j) = -t(j) - 5*y(j). Factor a(d).
(d - 1)*(d + 1)
Let k be 6/24 + 44/16. Let o(n) be the first derivative of 1/2*n**2 + 4 - 3/4*n**4 + 0*n + 2/3*n**k. Suppose o(c) = 0. Calculate c.
-1/3, 0, 1
Let x(z) be the third derivative of 0*z**4 - 7/6*z**3 + 1/1440*z**6 + 0*z - 1/240*z**5 + 7*z**2 + 0. Let l(v) be the first derivative of x(v). Factor l(h).
h*(h - 2)/4
Let t = 88/369 - 2/123. Let r = -13498/9 + 1500. Suppose -t*k**3 + 0*k**2 + 0*k + 0*k**4 + r*k**5 + 0 = 0. Calculate k.
-1, 0, 1
Suppose 41*s + 19*s = -98*s + 790. Factor 1/10*b + 1/5*b**2 - 1/5*b**4 + 0 + 0*b**3 - 1/10*b**s.
-b*(b - 1)*(b + 1)**3/10
Factor -5/2*l**2 + 25/2 - 10*l.
-5*(l - 1)*(l + 5)/2
Suppose 9 = -w + 3*k, -7 = 3*w + 4*k - 19. Let h(r) be the second derivative of -1/20*r**5 + w*r**2 + 0 + 3*r - 1/12*r**4 + 1/3*r**3. Find d such that h(d) = 0.
-2, 0, 1
Let y(m) = 28*m**3 + 540*m**2 + 2424*m + 3651. Let u(s) = -390*s**3 - 7560*s**2 - 33935*s - 51115. Let g(k) = -6*u(k) - 85*y(k). Factor g(o).
-5*(2*o + 9)**3
Let p = -42 - -44. Determine w, given that -2*w**5 - 26*w**p - 4*w**4 + 26*w**2 = 0.
-2, 0
Factor 16/5*l**2 - 16*l + 128/5 - 1/5*l**3.
-(l - 8)*(l - 4)**2/5
Let w = 279 + -273. Let t(a) be the third derivative of 0 + 0*a**3 + 3/70*a**7 + 1/20*a**5 - 1/112*a**8 + 0*a - 3/40*a**w - 5*a**2 + 0*a**4. Factor t(j).
-3*j**2*(j - 1)**3
Let c(t) be the first derivative of -7*t**4/5 - 12*t**3/5 - 4*t**2/5 - 278. Factor c(k).
-4*k*(k + 1)*(7*k + 2)/5
Let h(c) be the first derivative of -c**6/6 + 12*c**5/5 + 7*c**4/2 - 4*c**3 - 13*c**2/2 + 45. Factor h(t).
-t*(t - 13)*(t - 1)*(t + 1)**2
Let a(s) = s**3 + s**2 + s. Let d(z) = -z**4 - 6*z**3 - 10*z**2 - 12*z + 2. Let b(i) = 36*a(i) + 4*d(i). Factor b(l).
-4*(l - 2)*(l - 1)**2*(l + 1)
Let c(t) be the first derivative of 0*t**2 + 3/10*t**4 + 4/15*t**3 + 8 + 0*t**5 + 0*t - 1/15*t**6. What is m in c(m) = 0?
-1, 0, 2
Suppose 50 = 2*y - 4*p, -2*p + 50 = 3*y + 7. Suppose -14 = -24*v + y*v. Factor -3/2*j**v + 0 + 0*j.
-3*j**2/2
Let 6*t**4 - 3 - 3*t**2 + 3/2*t**5 - 15/2*t + 6*t**3 = 0. Calculate t.
-2, -1, 1
Let o(i) be the third derivative of -11*i**2 + 0*i - 3/20*i**5 + 0 + 7*i**3 - 19/8*i**4. Solve o(m) = 0 for m.
-7, 2/3
Let p(f) be the first derivative of -121*f**3 - 495*f**2 - 675*f + 40. Solve p(l) = 0 for l.
-15/11
Let a be (-2)/12 - 74/(-12). Let h(x) be the second derivative of -1/6*x**4 + 0*x**2 + 7/20*x**5 + a*x + 0*x**3 + 0 - 1/6*x**6. Factor h(m).
-m**2*(m - 1)*(5*m - 2)
Let d be (8/(-20))/(576/(-1800)). Factor -5*o + 0 + d*o**2.
5*o*(o - 4)/4
Let m(g) be the third derivative of 0 + g**2 + 5/6*g**3 + 0*g - 5/8*g**4 + 1/4*g**5 - 1/24*g**6. Factor m(w).
-5*(w - 1)**3
Let z(h) be the first derivative of -26*h**3/21 - 2*h**2 - 2*h/7 - 59. Determine v so that z(v) = 0.
-1, -1/13
Let p