ose k + 0*k - 10 = -3*r, 3*k = 2*r - 14. Let z be 24/9*9/r. Solve z*m**2 + 3*m**3 - 4*m**2 - m**3 = 0.
-1, 0
Let q be 760/180 + (-2)/9. Find r such that q*r**2 - 186*r + 93*r + 92*r - 3 = 0.
-3/4, 1
Suppose 3*q = -q + 12. Let f(k) be the third derivative of 4/3*k**3 - 1/3*k**4 + 1/30*k**5 + 0 - q*k**2 + 0*k. Determine z so that f(z) = 0.
2
Let t(o) be the second derivative of -9*o - 2/5*o**5 + 0*o**6 + 2/3*o**3 + 2/21*o**7 + 0*o**2 + 0*o**4 + 0. Factor t(u).
4*u*(u - 1)**2*(u + 1)**2
Let c(r) = 39*r**2 - 183*r - 84. Let j(b) = 16*b**2 - 73*b - 35. Let g(n) = -5*c(n) + 12*j(n). Suppose g(l) = 0. What is l?
0, 13
Let y(l) be the second derivative of -l**6/480 - l**5/160 + l**3/3 - 6*l. Let x(w) be the second derivative of y(w). Factor x(t).
-3*t*(t + 1)/4
Let v(z) = -z**3 - 6*z**2 - 3*z + 12. Let p be v(-5). Suppose u + 1 = -u + 5*y, -2*y = -u. Factor p + 4*s**u - 5*s - 3*s**2 + 2*s.
(s - 2)*(s - 1)
Let q be (-2)/1 - (-3)/1. Suppose q = -z + 12. Factor -z*r**2 - 8 - 16*r + 4*r + 7*r**2.
-4*(r + 1)*(r + 2)
Let i(z) be the first derivative of z**5/20 - 3*z**4/4 + 5*z**3/2 - 12*z**2 - 26. Let b(c) be the second derivative of i(c). Factor b(t).
3*(t - 5)*(t - 1)
Let w = -5 - -8. Suppose -p = -0*p - w. Factor -r + p*r - 2*r**2 + 2*r**4 + 2*r**3 - 4*r.
2*r*(r - 1)*(r + 1)**2
Let q be 6/((-36)/(-6))*-227. Let o = 257 + q. Let -30*b - 59*b**2 - 9/2 - o*b**3 - 9/2*b**4 = 0. What is b?
-3, -1/3
Let u be (-1488)/(-12) + -2*2. Let c be ((-12)/u)/((-2)/16). Factor 2/5*q**2 + 2/5 - c*q.
2*(q - 1)**2/5
Solve 16/7 + 2/7*q**2 + 12/7*q = 0 for q.
-4, -2
Factor 455/8*h - 169/4 + 3/8*h**3 + 19/2*h**2.
(h + 13)**2*(3*h - 2)/8
Let 3/2*v**4 + 432*v**2 + 99/2*v**3 + 0 + 384*v = 0. Calculate v.
-16, -1, 0
Let o(c) = 7*c - 11. Let q be o(4). Determine d so that 5*d**3 - q*d**2 - 19*d**2 + 41*d**2 = 0.
-1, 0
Let b = -72 + 74. Factor 0*m**2 + 36*m + 4 - 30*m + 2*m**b.
2*(m + 1)*(m + 2)
Let -12/7*q + 8/7*q**2 - 10/7 + 12/7*q**3 + 2/7*q**4 = 0. Calculate q.
-5, -1, 1
Let d(u) = 2*u**3 - 4*u**2 + 2*u. Let q(c) = 3*c**3 - 4*c**2 + c. Let k(l) = -5*d(l) + 4*q(l). Factor k(j).
2*j*(j - 1)*(j + 3)
Let f be 22/2 - 11270/1050. Let o(g) be the second derivative of -7*g + 2/45*g**4 + 1/45*g**3 + 0 - f*g**2 - 1/150*g**5. Let o(i) = 0. What is i?
-1, 1, 4
Let z(u) be the first derivative of 0*u**2 + 7 + 32/33*u**3 - 2/11*u. Factor z(s).
2*(4*s - 1)*(4*s + 1)/11
Let j(h) be the second derivative of -7*h**6/45 + 22*h**5/15 - 34*h**4/9 + 16*h**3/9 - 19*h - 12. Let j(c) = 0. What is c?
0, 2/7, 2, 4
Suppose 0*p - 4*p = -4*a - 196, 133 = 3*p + 4*a. Let o = 50 - p. Factor -30/7*d**4 + 40/7*d**o - 20/7*d**2 + 8/7*d**5 + 2/7 + 0*d.
2*(d - 1)**4*(4*d + 1)/7
Let u(p) be the third derivative of -5/9*p**3 - 25/24*p**4 - 1/6*p**5 + 7/72*p**6 + 15*p**2 + 0*p + 0. Factor u(r).
5*(r - 2)*(r + 1)*(7*r + 1)/3
Let t(o) = 2*o**2 + 11*o - 4. Let n be t(-6). Suppose 2*i - 4 = -n*u, 5*i + 6 = 4*u - 2. Factor i + 0*j + 3/2*j**2 + 9/2*j**3.
3*j**2*(3*j + 1)/2
Let i = 6244/3 - 2080. Factor -10/3*h**2 - 2/3*h + i - 4/3*h**3.
-2*(h + 1)*(h + 2)*(2*h - 1)/3
Suppose 2 = -2*h, 5*z + 33 = -4*h + 29. Factor 1/4*f**3 + 1/4*f**2 + z + 0*f.
f**2*(f + 1)/4
Factor -56 - 194*g**3 - 192*g**3 + 382*g**3 - 92*g - 40*g**2.
-4*(g + 1)*(g + 2)*(g + 7)
Let q be (-67 - -61)/(-6*5). Factor 0 - 3/5*d**2 + 2/5*d + q*d**3.
d*(d - 2)*(d - 1)/5
Let s(v) be the second derivative of v**5/90 + 5*v**4/54 - v**3/27 - 5*v**2/9 + v + 41. Determine n, given that s(n) = 0.
-5, -1, 1
Let i(m) be the third derivative of m**5/90 - 13*m**4/36 + 40*m**3/9 + 2*m**2 - 232. Factor i(v).
2*(v - 8)*(v - 5)/3
Let b(p) be the third derivative of -25/4*p**3 + 4*p**2 - 1/40*p**5 + 0*p - 5/8*p**4 + 0. Solve b(n) = 0.
-5
Let u = -2961 - -2966. Let d(i) be the first derivative of 2/5*i**u - 1 + 0*i + 0*i**2 - 2*i**3 - i**4. Find y such that d(y) = 0.
-1, 0, 3
Let r(b) be the first derivative of 3/4*b**2 - 9/2*b + 6 + 5/6*b**3 + 1/8*b**4. What is a in r(a) = 0?
-3, 1
Let j = 73 + -71. Factor 46*r**2 - 21*r**j + 18*r - 20*r**2 - 8.
(r + 4)*(5*r - 2)
Suppose 0 = -w - 5*r + 2, -5*w - r = 7 + 7. Let j be w - 28/(-8)*2. Factor -9*o**4 + 6*o**j - 3*o**3 + 0*o**3.
-3*o**3*(o + 1)
Let p(z) = 2*z**2 + z + 1. Let s(r) = r**3 + 18*r**2 - 9*r - 94. Let a(o) = 6*p(o) - s(o). Factor a(q).
-(q - 4)*(q + 5)**2
Let q be (27/(-6) + 3)*174/9. Let z = 89/3 + q. Factor b**3 - z*b**2 + 0 - 1/3*b**4 + 0*b.
-b**2*(b - 2)*(b - 1)/3
Suppose 0 = 5*s - 2*h + 436 - 439, h + 3 = 3*s. Determine y, given that 0 + 0*y**2 + 0*y + 4/9*y**s = 0.
0
Suppose -15*i + 9/5*i**4 + 225 + 1/5*i**5 - 6/5*i**3 - 38*i**2 = 0. Calculate i.
-5, 3
Let i be (-33)/(-1188) - (0 + 0). Let z(d) be the third derivative of -1/90*d**5 + 0 - i*d**4 + 0*d**3 + 0*d + 2*d**2. Solve z(m) = 0 for m.
-1, 0
Let v = -680/13 - -3413/65. Suppose 0*l + 2/5*l**4 - v*l**5 + 0 - 1/5*l**3 + 0*l**2 = 0. What is l?
0, 1
Let s be (-12)/(-8)*(-25)/(-50). Let w(y) be the first derivative of 0*y - 2 - s*y**2 + 1/2*y**3. Solve w(a) = 0 for a.
0, 1
Let n = -11717/432 - -447/16. Let g(x) be the first derivative of x + 2/9*x**4 + 8 + n*x**3 + 1/45*x**5 + 4/3*x**2. Factor g(w).
(w + 1)**2*(w + 3)**2/9
Let t = 10261 + -10259. Solve 9/7*n**4 - 12/7*n**t + 27/7*n**5 + 0*n + 0 - 24/7*n**3 = 0.
-2/3, 0, 1
Suppose -60*p = 7*p. Suppose 1/2*x + p + 1/2*x**2 = 0. Calculate x.
-1, 0
Let n = -13 - -12. Let m = 3 + n. Factor 28*b**2 - 20*b**2 - 12*b**m + 16.
-4*(b - 2)*(b + 2)
Let q(r) = 10*r**4 + 20*r**3 - 10*r**2 - 85*r - 60. Let p(m) = -m**4 + m**3 - m**2 + 2. Let n(j) = -5*p(j) - q(j). Let n(h) = 0. Calculate h.
-5, -1, 2
Let b(z) be the third derivative of -1/24*z**4 + 0 + 0*z**3 + 5*z**2 + 0*z + 1/30*z**6 - 1/20*z**5. Factor b(j).
j*(j - 1)*(4*j + 1)
Let f be (-2 + -29)/((110/(-246))/5). Let t = 347 - f. Solve -t*d - 2/11 - 2/11*d**2 = 0 for d.
-1
Suppose -o - 12 = -4*q, 0 = -11*q + 14*q - 3*o. Factor -2/7*g**3 + 2/7*g**2 + 2/7*g + 0 - 2/7*g**q.
-2*g*(g - 1)*(g + 1)**2/7
Suppose -23 = -f + 19. Let h be 4/(-44)*f - -4. Solve -4/11*n**3 + 0*n**4 + 0 + 0*n**2 + h*n + 2/11*n**5 = 0.
-1, 0, 1
Let f(n) be the first derivative of -2*n**5/75 - n**4/30 + 2*n**3/5 + 3*n**2/5 + 95. Let f(j) = 0. Calculate j.
-3, -1, 0, 3
Let u(x) = -16*x**2 + 8*x + 24. Let o(n) = n**2 + 20*n + 3. Let v be o(-20). Let g(y) = -5*y**2 + 3*y + 8. Let a(r) = v*u(r) - 10*g(r). Factor a(c).
2*(c - 4)*(c + 1)
Let g(n) be the third derivative of n**7/1785 + n**6/1020 - n**5/510 - n**4/204 + 2*n**2 + 119. Let g(x) = 0. Calculate x.
-1, 0, 1
Let d(r) be the first derivative of 162*r**5/5 - 927*r**4/2 + 3716*r**3/3 - 692*r**2 + 144*r + 107. Solve d(i) = 0.
2/9, 2, 9
Let t(g) be the second derivative of g**5/5 + g**4/12 - 2*g**3/3 + 3*g**2/2 - 3*g. Let l be t(0). Factor -2/5*m**4 - 36/5*m**2 - 16/5 + 14/5*m**l + 8*m.
-2*(m - 2)**3*(m - 1)/5
Let f = -94/18785 - 3/289. Let r = 69/260 + f. What is l in 1/2 - r*l - 1/4*l**2 = 0?
-2, 1
Let b(c) be the first derivative of -4*c**3/3 + 30*c**2 + 136*c + 45. What is z in b(z) = 0?
-2, 17
Suppose 5*b - 5*f - 25 = 0, 5*f - 42 = -47. Factor 0*r - 1/6*r**3 - 1/6*r**b + 0 + 0*r**2.
-r**3*(r + 1)/6
Let k = 38 - 340/9. Suppose 3*d = 7*d - 2*d. Factor d*w - k*w**3 - 4/9*w**2 + 0.
-2*w**2*(w + 2)/9
Factor 2*n + 0 + 2/19*n**2.
2*n*(n + 19)/19
Let g be (-12 - 358/(-28)) + (-4)/14. Let j(n) be the first derivative of -4/3*n**3 - g*n**2 + 2*n - 4 + 3/4*n**4. Factor j(v).
(v - 1)**2*(3*v + 2)
Let -47*q**5 - 147*q**3 - 80*q + 240*q**5 - 81*q**2 - 808*q**4 + 529*q**2 - 109*q**5 - 217*q**3 = 0. What is q?
-1, 0, 2/7, 1/3, 10
Let x = -63806 - -445525/7. Let k = -159 - x. Factor -k*f + 3/7*f**2 + 1/7.
(f - 1)*(3*f - 1)/7
Suppose 0 = 4*a + 87 - 95. Let v(q) = q**3 - 8*q**2 - 8*q - 6. Let s be v(9). Factor 24/7*m**s + 6/7*m**5 - 12/7*m**a + 0 + 2/7*m - 20/7*m**4.
2*m*(m - 1)**3*(3*m - 1)/7
Let f(y) = 3*y**4 + 30*y**3 + 42*y**2 + 21*y - 9. Let i(n) = n**3 + n**2 - 1. Suppose -5*v = -0*v + 5. Let a(g) = v*f(g) + 15*i(g). Factor a(s).
-3*(s + 1)**3*(s + 2)
Let p = -210 + 1892/9. Let c(b) be the second derivative of -1/45*b**6 + 0 + 5/54*b**4 - 1/18*b**5 - p*b**2 + 5/27*b**3 - 6*b. Suppose c(w) = 0. Calculate w.
-2, -1, 1/3, 1
Let p = -50 - -53. Let g be -2*((-29)/(-10) - p). Factor -1/5*a**2 - g*a**3 + 1/5*a + 1/5.
-(a - 1)*(a + 1)**2/5
Suppose 1/9*s**5 + s**4 + 1/3*s**2 -