+ 7*b**6/360 - b**5/15 - b**4/18 + 8*b**3/9 - 31*b**2 - 3*b. What is y in r(y) = 0?
-1, 2, 4
Let m(u) be the first derivative of u**3/12 - 15*u**2/8 - 17*u/2 - 87. Let m(n) = 0. What is n?
-2, 17
Let n(s) = -s**3 - 21*s**2 - 24*s - 48. Let x be n(-20). Let f be ((-4)/3)/(x/(-72)). Factor 125/4*j**f + 15*j + 75/2*j**2 + 2.
(5*j + 2)**3/4
Let h(s) be the first derivative of -s**7/98 - s**6/35 + 39*s - 34. Let u(l) be the first derivative of h(l). Suppose u(f) = 0. Calculate f.
-2, 0
Suppose -5*x + 4*x + 2 = 0, -i - 4*x + 9 = 0. Factor i - s**3 - 11*s + 2*s**2 - 1 + 10*s.
-s*(s - 1)**2
Let s be 0 - 12 - (-492)/41. Find m such that 6/5*m - 2/5*m**3 + s*m**2 - 4/5 = 0.
-2, 1
Suppose 4*v = 6*v + 2*n - 4, -5*n = -3*v + 14. Let g(b) be the second derivative of v*b - 1/70*b**5 + 1/7*b**2 + 0 - 1/42*b**4 + 1/21*b**3. Factor g(j).
-2*(j - 1)*(j + 1)**2/7
Find s such that 1/3*s**4 - 100/3 - 10/3*s**3 + 40/3*s + 7*s**2 = 0.
-2, 2, 5
Let q(t) = -3*t**2 + 0*t**2 + 2*t**2 - 7 - 12*t + t**3 + 4*t**2. Let n be q(-5). Solve -3/7*p**n - 12/7 + 12/7*p + 3/7*p**2 = 0 for p.
-2, 1, 2
Let x(g) be the third derivative of g**7/105 + 71*g**6/180 + 68*g**5/15 - 4*g**4 + 427*g**2. Solve x(z) = 0.
-12, 0, 1/3
Suppose 125 = 4*i + 3*f, -2*i + 5*f + 200 = 3*i. Find u, given that 4864 - 10*u**2 - 4864 + 20*u**4 - i*u**3 = 0.
-1/4, 0, 2
Suppose -102 = -3*s - 4*x, -4*s - 27 = -5*s + x. Suppose 13*k - s = 3*k. Find c, given that 1/2*c**3 - 4 + 6*c - k*c**2 = 0.
2
Let c be (-15)/(-140)*(-8)/(-144). Let j(x) be the third derivative of -c*x**4 - 1/420*x**5 + 1/21*x**3 - 10*x**2 + 0 + 0*x. Determine a so that j(a) = 0.
-2, 1
Let i = 575/56 - 357/40. Let k = i - 1/5. Factor -18/7*p - k*p**2 - 4/7.
-2*(p + 2)*(4*p + 1)/7
Let s(f) = -2*f**3 + 6*f**2 - 4. Let p(o) = -o**3 - o + 2. Let d(r) = 3*p(r) - 3*s(r). Determine w so that d(w) = 0.
-1, 1, 6
Let t(y) be the first derivative of y**6/24 - 3*y**5/20 - 3*y**4/16 + 7*y**3/12 + 3*y**2/4 + 215. Factor t(z).
z*(z - 3)*(z - 2)*(z + 1)**2/4
Let k be (1/30)/(215/774). Let x(r) be the first derivative of k*r**5 - 10 + r**3 + 3/5*r**4 + 3/5*r**2 + 0*r. Factor x(l).
3*l*(l + 1)**2*(l + 2)/5
Let f be (-15)/3 - -44*(-22)/(-88). What is z in -f + z**2 - 25/3*z = 0?
-2/3, 9
Let s = 24501/10087 + -4/10087. Factor -1/7*k**4 + 6/7 + 15/7*k**2 + s*k + 3/7*k**3.
-(k - 6)*(k + 1)**3/7
Suppose -25*d = -32*d + 101*d - 188. Suppose 3/4*k**4 - 9/4*k + 0 + 21/4*k**d - 15/4*k**3 = 0. What is k?
0, 1, 3
What is o in -2/13*o**3 + 8/13*o + 16/13 - 4/13*o**2 = 0?
-2, 2
Let n(c) be the second derivative of c**4/32 + 3*c**3/16 - 27*c**2/8 - c + 16. Solve n(a) = 0.
-6, 3
Let l = -1639 - -4919/3. Factor 0 - l*y + 2/3*y**2.
2*y*(y - 1)/3
Let z be ((-32)/6)/(8/(-12)). Factor 6*t + 6 + z*t**2 + 0*t**2 - 8.
2*(t + 1)*(4*t - 1)
Let g = 239 + -235. Suppose -2*b + q + 4*q = -26, -4*b - g = 4*q. Find k, given that -4/5*k**4 + 0*k**b + 4/5*k**2 + 0 - 2/5*k + 2/5*k**5 = 0.
-1, 0, 1
Suppose -8*j = -4*j + 4. Let w be (0/(-1 + -5))/j. Factor w + 1/3*r**3 + 2/3*r**2 + 1/3*r.
r*(r + 1)**2/3
Let k(f) be the third derivative of -27*f**8/28 + 66*f**7/7 - 727*f**6/30 - 239*f**5/15 + 68*f**4 + 96*f**3 + 6*f**2 + 43. Find b such that k(b) = 0.
-4/9, 1, 3
Let v(b) be the first derivative of -15/2*b**2 - 10*b - 5/3*b**3 - 9. Determine p so that v(p) = 0.
-2, -1
Let n(z) be the second derivative of 3*z**5/5 - 73*z**4/6 + 46*z**3/3 - 546*z. Solve n(b) = 0.
0, 2/3, 23/2
Suppose 33 - 1 = 4*t. Let u be 28/(-6)*(-12)/t. Factor -6 + c**2 + c + u - 3.
(c - 1)*(c + 2)
Let h(v) be the second derivative of v**5/4 - 85*v**4/12 + 40*v**3/3 - 29*v + 2. Factor h(r).
5*r*(r - 16)*(r - 1)
Let z(u) be the first derivative of u**4 + 44*u**3 + 64*u**2 - 55. Find y such that z(y) = 0.
-32, -1, 0
Let v(k) be the first derivative of -k**6/900 + k**5/300 + k**4/30 - 2*k**3/3 + 14. Let t(w) be the third derivative of v(w). Let t(a) = 0. Calculate a.
-1, 2
Let p(t) = 15*t**2 - 180*t - 105. Let o(n) be the second derivative of n**4/3 - 15*n**3/2 - 13*n**2 + 25*n. Let k(h) = -9*o(h) + 2*p(h). Factor k(v).
-3*(v - 8)*(2*v + 1)
Let k be (5 + (-78)/16)/((-15)/(-240)). Determine a, given that -3/2 - 1/2*a**k - 2*a = 0.
-3, -1
Let v = -12147/7124 - -7/548. Let s = v - -224/117. Determine n so that 0 - 2/9*n + s*n**2 = 0.
0, 1
Let q(v) = -v**5 + 15*v**4 - 35*v**3 + v**2 + 33*v - 19. Let n(d) = -2*d**5 + 31*d**4 - 69*d**3 + d**2 + 66*d - 37. Let f(t) = -3*n(t) + 5*q(t). Factor f(g).
(g - 16)*(g - 1)**3*(g + 1)
Let s = 42/205 - -79/615. Factor -1/3*a**3 - 1/3 + s*a**2 + 1/3*a.
-(a - 1)**2*(a + 1)/3
Let g(f) be the first derivative of -f**3/2 + 7*f**2/4 + 5*f + 117. Factor g(q).
-(q + 1)*(3*q - 10)/2
Let l(q) be the first derivative of -8/3*q**3 + 0*q - q**4 - 7 - 2*q**2. Suppose l(t) = 0. What is t?
-1, 0
Let 2/3*r**4 + 0 - 3/2*r**2 - 5/6*r**3 + 0*r = 0. What is r?
-1, 0, 9/4
Let n = -152 - -172. Determine t, given that 3 + 5 + n*t + 20*t**3 + 5*t**4 - 1 + 30*t**2 - 2 = 0.
-1
Let v(q) be the second derivative of 2/5*q**2 + 1/6*q**3 + 1/60*q**4 + 0 - 6*q. Factor v(k).
(k + 1)*(k + 4)/5
Let q(c) be the first derivative of 5*c**3/18 + 20*c**2/3 + 160*c/3 - 58. Factor q(n).
5*(n + 8)**2/6
Let f(z) be the first derivative of 3 - 4*z**3 + 0*z + 4*z**2 + 0*z**4 + 4/5*z**5. Solve f(l) = 0.
-2, 0, 1
Let g(h) be the first derivative of -3/5*h**5 - 2*h + 4 + 0*h**2 + h**3 + 5/4*h**4 - 3/10*h**6. Let k(l) be the first derivative of g(l). Factor k(z).
-3*z*(z - 1)*(z + 2)*(3*z + 1)
Factor -53*z - 67*z**2 + 31*z**2 + 208 + 32*z**2 + 17*z.
-4*(z - 4)*(z + 13)
Suppose 0*n + 72 = 6*n. Suppose n*m = 25 - 1. Factor 3/4*r**3 + 0 - 3/4*r + 0*r**m.
3*r*(r - 1)*(r + 1)/4
Let j(p) be the third derivative of 1/64*p**4 + 0 + 0*p - 1/160*p**5 - 4*p**2 + 1/8*p**3. Factor j(f).
-3*(f - 2)*(f + 1)/8
Let v(c) be the first derivative of 4*c**5/5 + 3*c**4 - 4*c**3/3 - 6*c**2 + 55. Find n, given that v(n) = 0.
-3, -1, 0, 1
Let c(u) = -9*u**5 + u**4 + u**3 - 9*u**2 - 7*u + 7. Let k(b) = 4*b**5 + 4*b**2 + 3*b - 3. Let o(y) = 6*c(y) + 14*k(y). Factor o(i).
2*i**2*(i + 1)**3
Let n(m) be the first derivative of -4*m**3/21 + 8*m**2/7 - 74. Solve n(f) = 0.
0, 4
Suppose 39*u = 186*u. Find f, given that 0 + u*f - 8/7*f**2 + 16/7*f**3 - 10/7*f**4 + 2/7*f**5 = 0.
0, 1, 2
Let q(y) be the third derivative of -y**10/453600 + y**9/181440 - 11*y**5/60 + 12*y**2. Let i(g) be the third derivative of q(g). Factor i(z).
-z**3*(z - 1)/3
Let t(q) = q**2 - 11*q + 22. Let b be t(9). Suppose 2*v - v + b*i = 16, 2*i - 8 = -4*v. What is j in v + 1/6*j + 1/6*j**2 = 0?
-1, 0
Let v be 14 + -2 + -2 + 4. Suppose 5*q + 5*u - u - v = 0, 5*u - 11 = -3*q. Let d**3 - 2*d**q - d**2 - 4*d**3 = 0. What is d?
-1, 0
Let c be (-15)/10*2 - 0. Let h be (-2 + 3)/(-1 - c - -3). Factor 0*s + 0 + 1/5*s**4 + 0*s**2 + h*s**3.
s**3*(s + 1)/5
Let d be (-4)/(-18) - 175/(-63). Factor 1 + 15*w**2 + 9*w**2 - d*w - 16*w**3 - 6*w.
-(w - 1)*(4*w - 1)**2
Let l be 12/(-30)*(5/(-7))/1. Solve 32/7 + 48/7*d**2 - 16/7*d**3 - 64/7*d + l*d**4 = 0 for d.
2
Let k(t) be the third derivative of t**7/560 + t**6/80 - 3*t**5/160 - 9*t**4/32 + 441*t**2. Factor k(m).
3*m*(m - 2)*(m + 3)**2/8
Let h(r) = -r**2 - r + 2. Let z(v) = -7*v**2 - 92*v - 81. Let x(t) = 2*h(t) - z(t). Factor x(q).
5*(q + 1)*(q + 17)
Let f(z) be the third derivative of -z**8/168 + 2*z**7/105 - z**5/15 + z**4/12 + 3*z**2 - 120. Solve f(s) = 0.
-1, 0, 1
Suppose 14*l - 10*l + n - 7 = 0, -5*n = 4*l - 3. Let a(p) be the third derivative of 0*p + 1/21*p**3 - 2*p**l + 0 + 1/210*p**5 + 1/42*p**4. Factor a(v).
2*(v + 1)**2/7
Suppose 0 = 2*x + 4*i - 8, 6*x - 27 = 3*x - i. Let f = x + -26/3. Factor -7/3*m**4 + 0 - f*m - 23/3*m**3 - 20/3*m**2.
-m*(m + 1)*(m + 2)*(7*m + 2)/3
What is v in -158*v + 158*v - v**4 - 3*v**3 - 2*v**2 = 0?
-2, -1, 0
Let b be 4 + (3 - 3) + -3. Let v be 1/(b/(-3)) - -7. Factor -y**4 - 1 - 2*y**v - 26*y**2 - 5*y**4 - 1 - 24*y**3 - 12*y.
-2*(y + 1)**2*(2*y + 1)**2
Let u(c) be the third derivative of -3/8*c**4 + 0*c**3 + 1/5*c**5 + 0*c - 1/40*c**6 + 3*c**2 + 0. Factor u(t).
-3*t*(t - 3)*(t - 1)
Let q(c) = -5*c**3 - 34*c**2 + 76*c - 3. Let d(v) = 56*v**3 + 374*v**2 - 836*v + 34. Let m(a) = -6*d(a) - 68*q(a). Let m(u) = 0. Calculate u.
-19, 0, 2
Let o(j) = -j**2 - 12*j + 2. Let x be o(0). Let -2/3*g**5 - 26/3*g**3 - 8/3*g + 8*g**x + 4*g**4 + 0 = 0. Calcu