(z). What is y in l(y) = 0?
0, 1, 7
Let z(p) be the second derivative of 2/5*p**5 + 9*p**2 - 75*p + 0 - 35/3*p**3 + 16/3*p**4. Factor z(n).
2*(n + 9)*(2*n - 1)**2
Let x(g) be the first derivative of -65*g**3/3 + 107*g**2/2 + 24*g - 10539. Suppose x(f) = 0. Calculate f.
-1/5, 24/13
Let l(h) be the second derivative of -h**5/40 + 13*h**4/12 - 49*h**3/12 + 6*h**2 - 331*h - 2. Factor l(q).
-(q - 24)*(q - 1)**2/2
Suppose -9*t = 7 - 61. Let m(a) = 10*a**2 - 24*a - 1. Let l(c) = c**2 - 1. Let d(n) = t*l(n) + 2*m(n). Find k, given that d(k) = 0.
-2/13, 2
Factor 1/4*m**3 + 0 - 4*m**2 + 39/4*m.
m*(m - 13)*(m - 3)/4
Let j(h) be the first derivative of 0*h + 1/48*h**4 - 1/240*h**5 + 0*h**3 - 12*h**2 + 32. Let x(q) be the second derivative of j(q). Factor x(z).
-z*(z - 2)/4
Let a = 351 + -328. Suppose -a*r + 14*r = -18. Factor 5/2*v**3 + 23/2*v**r + 6 - 20*v.
(v - 1)*(v + 6)*(5*v - 2)/2
Let w(b) be the second derivative of -b**5/35 + 34*b**4/21 - 704*b**3/21 + 2304*b**2/7 - 2978*b. Find v such that w(v) = 0.
8, 18
Let q be (-414)/(-276)*24/18. Factor 8*v - 16/3 + 4/3*v**q - 2*v**3.
-2*(v - 2)*(v + 2)*(3*v - 2)/3
Let p(v) be the second derivative of -11*v**6/50 - 579*v**5/50 - 7*v**4/4 - 5459*v. Factor p(n).
-3*n**2*(n + 35)*(11*n + 1)/5
Let b = -140 + -172. Let w be b/(-54) + -6 - 20/(-9). Factor 23/7*j + 2/7 + 3*j**w.
(j + 1)*(21*j + 2)/7
Let s(o) be the second derivative of 196/3*o**2 + 2 - 3/2*o**4 - 20*o - 1/30*o**5 - 56/3*o**3. Factor s(n).
-2*(n - 1)*(n + 14)**2/3
Let d(k) be the first derivative of k**6/90 + 4*k**5/5 + 23*k**4/6 - 13*k**3 + 82. Let f(s) be the third derivative of d(s). Factor f(h).
4*(h + 1)*(h + 23)
Let n(o) be the second derivative of o**7/84 + 91*o**6/60 + 417*o**5/20 + 983*o**4/12 + 1789*o**3/12 + 567*o**2/4 + 17*o + 37. Factor n(f).
(f + 1)**3*(f + 7)*(f + 81)/2
Let q = -109 - -113. Factor q*h**3 - h - 4*h**3 + 5*h**3 - 1248*h**2 + 1252*h**2.
h*(h + 1)*(5*h - 1)
Let d(u) be the first derivative of 15/2*u**2 - 27/2*u + 48 - 1/2*u**3. Factor d(s).
-3*(s - 9)*(s - 1)/2
Let n(f) be the first derivative of -f**4/7 + 3*f**2/14 - f/7 - 998. Factor n(q).
-(q + 1)*(2*q - 1)**2/7
Suppose 4*z = -34 + 126. Suppose 3*t + 17 = z. Factor 5*p**3 + 6*p**t - 36/5*p + 8/5.
(p + 2)*(5*p - 2)**2/5
Let u(d) = 11*d**2 - 45*d + 7. Let t be u(4). Factor 4*a**5 + 26283*a + 48*a**2 - 32*a**t - 26283*a - 4*a**4.
4*a**2*(a - 2)**2*(a + 3)
Factor 12 - 333*t**2 - 1614*t + 185*t**2 + 1478*t.
-4*(t + 1)*(37*t - 3)
Let z = -1011284/9 + 112365. Find f, given that z*f**2 + 8/9*f + 7/9 = 0.
-7, -1
Suppose -2*c + 36 = c + s, -s = 5*c - 62. Suppose -c*z = 4*i - 15*z - 4, -i - 6 = 3*z. Factor i - 1/4*h**3 - 3/4*h - h**2.
-h*(h + 1)*(h + 3)/4
Suppose -198 = 6*n - 1164. Suppose -171*t = -n*t - 40. Let -21*a**2 + 3 + 18*a**t - 21/2*a**5 + 9/2*a + 6*a**3 = 0. What is a?
-1, -2/7, 1
Suppose -10*r = -23 - 7. Suppose r*y = -30 + 219. Factor 63*j - y*j + 2*j**4 + 10*j**2 - 12*j**3.
2*j**2*(j - 5)*(j - 1)
Let j(r) = r**2 + 19*r + 1. Let z(n) = -4*n**2 - 101*n - 140. Let d(l) = 5*j(l) + z(l). Solve d(o) = 0 for o.
-9, 15
Factor 22549248*d**2 - 40*d**3 - 22549513*d**2 - 210*d + 35*d**4 - 40 - 20*d**3.
5*(d - 4)*(d + 1)**2*(7*d + 2)
Factor -510/11 + 126/11*v**2 + 6/11*v**3 + 378/11*v.
6*(v - 1)*(v + 5)*(v + 17)/11
What is m in -185/3*m**2 + 50*m + 31/3*m**3 - 1/3*m**5 + 0 + 5/3*m**4 = 0?
-6, 0, 1, 5
Let j(n) be the second derivative of -17/2*n**2 - 18*n - 1/6*n**4 + 0*n**3 - 2/15*n**5 - 1/30*n**6 + 0. Let h(i) be the first derivative of j(i). Factor h(m).
-4*m*(m + 1)**2
Let p(t) = 4*t**3 + 103*t**2 + 87*t + 302. Let c be p(-25). Factor 0 + 1/2*h**c - 9/2*h.
h*(h - 9)/2
Let w(t) = t**2 + 8*t + 14. Let p be w(-6). Factor -5*q**4 + 76*q**p + 160 + 10*q**4 - 55*q**3 + 152*q + 134*q**2 - 472*q.
5*(q - 4)**2*(q - 2)*(q - 1)
Solve 35 - 1/6*a**2 + 209/6*a = 0.
-1, 210
Let y(h) = -21*h**2 + 4543*h - 861851. Let l(w) = -9*w**2 + 2272*w - 430925. Let p(b) = -5*l(b) + 2*y(b). Find t such that p(t) = 0.
379
Let v be (44/36 - (-2)/(-9))*1. Let g be v/2 - 108/(-72). Factor 0 + 30/7*q**g - 3/7*q**4 - 3/7*q**3 - 24/7*q.
-3*q*(q - 2)*(q - 1)*(q + 4)/7
Factor 568/9 + 10/9*i**2 - 1424/9*i.
2*(i - 142)*(5*i - 2)/9
Let h(k) = k**3 + 3*k**2 - k. Let c(w) = 8*w**3 - 32*w**2 - 220*w. Let o(z) = -c(z) + 12*h(z). Factor o(d).
4*d*(d + 4)*(d + 13)
Let q be (1 - (-4)/(-6))/(4/60). Find j such that -2*j**3 - 4*j**3 + 0*j**q - 11*j**4 + 8*j + 0*j**3 + 12*j**2 - 3*j**5 = 0.
-2, -2/3, 0, 1
Let h = -1018394 + 1018398. Determine l so that 1/3*l + 5/6*l**h + 7/6*l**2 + 0 + 3/2*l**3 + 1/6*l**5 = 0.
-2, -1, 0
Let o(s) be the third derivative of s**7/42 + 515*s**6/24 + 5504*s**5 - 27735*s**4/2 - s**2 + 608*s. Factor o(d).
5*d*(d - 1)*(d + 258)**2
Let f(y) be the third derivative of y**9/3024 - y**8/560 - y**7/840 + y**6/120 - 15*y**3/2 - 63*y**2 - 1. Let v(t) be the first derivative of f(t). Factor v(b).
b**2*(b - 3)*(b - 1)*(b + 1)
Let x be ((-90)/(-315))/((-16)/308)*(-8)/22. Factor -12*a + 34/3 + 2/3*a**x.
2*(a - 17)*(a - 1)/3
Let k(s) = 4*s**2 - 567*s + 583. Let i(j) = 4*j**2 - 566*j + 586. Let g(o) = -5*i(o) + 6*k(o). Factor g(u).
4*(u - 142)*(u - 1)
Let s(y) be the second derivative of -y**5/180 - y**4/18 + 8*y**3/27 + 16*y**2/3 - 790*y + 1. Factor s(q).
-(q - 4)*(q + 4)*(q + 6)/9
Find z such that 24*z + 36*z**2 + 4/3*z**3 + 0 - 16/3*z**4 = 0.
-2, -3/4, 0, 3
Let j(d) be the second derivative of -3*d**7/8 + 143*d**6/20 - 2977*d**5/80 + 1693*d**4/24 - 125*d**3/2 + 27*d**2 + 79*d. Let j(h) = 0. What is h?
2/7, 2/3, 3, 9
Factor -1/9*v**4 + 1/9*v**5 + 0*v**2 + 0*v - 2/9*v**3 + 0.
v**3*(v - 2)*(v + 1)/9
Suppose 7*a + 82 = -6*a + 134. Let q(w) be the second derivative of 11*w + 0*w**2 - 5/21*w**3 - 1/42*w**a - 1. Factor q(o).
-2*o*(o + 5)/7
Let n(d) = d**2 - 13*d + 5. Let w = -14 - -18. Let v(c) = -71 + 34 + 35 + w*c. Let i(m) = 2*n(m) + 7*v(m). Factor i(k).
2*(k - 1)*(k + 2)
Suppose 0 = -177*t + 163*t + 14. Let o be 380/(-55) + t - -6. Factor 5/11*c**2 + o*c**4 + 2/11*c + 0 + 4/11*c**3.
c*(c + 1)**2*(c + 2)/11
Suppose -23*v + 29 = -40. Suppose 374 = v*h + 368. Factor 1/9 + 1/3*m**h + 1/9*m**3 + 1/3*m.
(m + 1)**3/9
Let x(o) be the third derivative of o**6/40 - 4*o**5/5 + 7*o**4/2 - 145*o**2 + o. Solve x(y) = 0 for y.
0, 2, 14
Let n(d) = 6*d**2 + 8*d + 1. Let i be n(-4). Suppose i*y**3 + 25*y**2 - 13*y**2 + 15*y - 68*y**3 = 0. What is y?
-1, 0, 5
Let f be (-56)/(76 - 155 - -16). Determine q so that 2/9*q**3 + 0 + f*q - 8/9*q**2 = 0.
0, 2
Let z(k) be the second derivative of 16*k - 1/4*k**4 - 3*k**2 - 2 + 3/2*k**3. Factor z(x).
-3*(x - 2)*(x - 1)
Let d(l) be the first derivative of 2*l**5/5 + 13*l**4/18 - 28*l**3/9 + 917. Factor d(r).
2*r**2*(r + 3)*(9*r - 14)/9
Let d(m) be the second derivative of m**6/135 + m**5/9 + 4*m**4/9 + 3308*m. Factor d(h).
2*h**2*(h + 4)*(h + 6)/9
Factor 1/8*b**3 - 13/8*b**2 + 3/4*b + 9.
(b - 12)*(b - 3)*(b + 2)/8
Let n(y) be the first derivative of 2*y**5/35 + 41*y**4/7 + 312*y**3/7 + 920*y**2/7 + 1216*y/7 + 2297. Solve n(q) = 0.
-76, -2
Factor -649/4 + 651/8*w - 1/8*w**2.
-(w - 649)*(w - 2)/8
Let m(x) = -x**2 + 5*x + 14. Let t(p) = 3*p**2 + 2396*p + 1447181. Let w(z) = 2*m(z) + t(z). Solve w(h) = 0 for h.
-1203
Let q(o) be the third derivative of o**7/420 + 23*o**6/120 - 49*o**5/120 - 47*o**4/24 - 277*o**2. Let q(i) = 0. Calculate i.
-47, -1, 0, 2
Suppose 4*v = 3*u, -4*u - 2*v = -5 - 17. Suppose 6 + 13*z + 116*z**3 - z**4 + 4*z**2 + 3*z**2 - 117*z**3 + 0*z**u = 0. Calculate z.
-2, -1, 3
Solve 0 - 82/3*m**4 - 2/9*m**5 + 2728/3*m**2 - 7436/9*m**3 + 15376/9*m = 0.
-62, -1, 0, 2
Let p(o) = o**3 - 3*o**2 + 2*o + 3. Let a be p(-7). Let n = a - -503. Factor 1/5 - 1/5*q**3 + 1/5*q - 1/5*q**n.
-(q - 1)*(q + 1)**2/5
Let n be 3*1 - (-55)/55. Determine b so that -9*b + 9918*b**3 - 9909*b**3 + 0*b**n + b**2 - b**4 = 0.
-1, 0, 1, 9
Let p(q) be the second derivative of -9/2*q**3 + 0 - 13*q - 12*q**2 - 1/4*q**4. Determine t so that p(t) = 0.
-8, -1
Let i(h) be the second derivative of h**3 - 4*h + 10 - 4*h**2 + 5/12*h**4. Let i(n) = 0. What is n?
-2, 4/5
Solve 484/5*w**2 + 4/5*w**4 + 488/5*w**3 + 0*w + 0 = 0 for w.
-121, -1, 0
Let v be 4 + 39670/(-9520) + 2/16. Let z = v - -377/476. Factor -1/2 - z*q - 1/4*q**2.
-(q + 1)*(q + 2)/4
Let l(i) be the first derivative of 4*i**5/45 - 4*i**4/9 - 28*i**3/27 + 