.
2*(y - 2)*(y - 1)*(y + 10)
Suppose 0 = 208*s - 339 - 77. Find j, given that -4/13*j**s + 0 + 2/13*j**3 - 16/13*j = 0.
-2, 0, 4
Let r be 68/16 + -2*1/8. Determine c, given that 4 - r*c**2 + 50*c - 24*c + 0*c**2 - 22*c - 4*c**3 = 0.
-1, 1
Factor -398*y + 500*y**2 + 256 + 292*y**3 + 188*y**2 + 11*y**4 + 45*y**4 + 4*y**5 + 1102*y.
4*(y + 1)**2*(y + 4)**3
Let r be ((-6)/(-2))/3 - -4. Factor 12 - 3*y**r + 5*y**4 - 24*y**3 + 7*y**5 - 8*y**2 - 19*y**4 + 20*y + 10*y**4.
4*(y - 3)*(y - 1)*(y + 1)**3
Let c(g) be the third derivative of g**6/420 + g**5/42 - 13*g**4/84 + g**3/3 + 246*g**2. What is x in c(x) = 0?
-7, 1
Let s(f) be the first derivative of f**4/4 + 85*f**3/9 - 122*f**2/3 + 124*f/3 + 241. Factor s(d).
(d - 2)*(d + 31)*(3*d - 2)/3
Let l(a) be the second derivative of -a**6/40 - 3*a**5/40 + a**4/16 + a**3/4 + 725*a. Factor l(s).
-3*s*(s - 1)*(s + 1)*(s + 2)/4
Factor -103 - 6*c**2 - 2*c + 3*c**4 + 2*c**3 + 3*c**4 + 103.
2*c*(c - 1)*(c + 1)*(3*c + 1)
Suppose -m + 14 = 5*c, 2*c + 3*m = 4 + 12. Find z such that -16/5*z + 2*z**c + 8/5 - 2/5*z**3 = 0.
1, 2
Let a(x) = x**2 + 23*x + 76. Let q be a(-4). Let h(f) be the second derivative of q - 5/24*f**4 + 4*f + 0*f**5 + 5/8*f**2 + 1/24*f**6 + 0*f**3. Factor h(o).
5*(o - 1)**2*(o + 1)**2/4
Let y(v) be the second derivative of -v**7/147 + v**6/105 + v**5/10 - v**4/42 - 2*v**3/7 + v + 267. Solve y(h) = 0 for h.
-2, -1, 0, 1, 3
Factor 5 + 105*c + 2205/4*c**2.
5*(21*c + 2)**2/4
Let c = -117 - -122. Suppose -40*j**4 + 46*j**4 - 9*j**c - 24*j**5 = 0. Calculate j.
0, 2/11
Suppose 3*j + i + 1 - 15 = 0, 5*j = -i + 22. Suppose 4*a - 32 = -w - 7, 2*w - 30 = -j*a. Factor 6/7*n**4 + 0*n + 0*n**2 + 0 - 2/7*n**3 - 4/7*n**w.
-2*n**3*(n - 1)*(2*n - 1)/7
Let k(p) = -9*p**2 + 3. Let u(j) = -3 + 0 + 8*j**2 + 0. Let n = 14 - 8. Let d(a) = n*u(a) + 5*k(a). Determine h, given that d(h) = 0.
-1, 1
Let c(b) = -15*b + 3. Let o be c(-5). Let t = o - 545/7. Let 0*m**2 - t*m**5 + 2/7*m**4 + 0*m + 0 - 1/7*m**3 = 0. What is m?
0, 1
Suppose 5*u + 90 = -4*t, -5*t = -3*u + 2*u - 18. Let z be (8 - 3)*(-3)/u. Factor -z*h**2 + 0 + 3/2*h**4 - 1/2*h**3 - 1/6*h.
h*(h - 1)*(3*h + 1)**2/6
Let t(z) = z**2 - 3*z. Let o be t(4). Suppose -56 + 48 = -o*d. Factor 2/3*s**2 + 0 + 0*s + d*s**3.
2*s**2*(3*s + 1)/3
Let o be (8/6)/(5*2/620). Let l = o - 82. Determine m so that 1/3*m**4 - l + 1/3*m**2 - m + m**3 = 0.
-2, -1, 1
Let m = 5026/2817 + -2/313. Let k(z) be the first derivative of 8 + m*z**3 - 10/3*z**2 + 8/3*z - 1/3*z**4. Factor k(l).
-4*(l - 2)*(l - 1)**2/3
Let f = -4518 + 27109/6. Solve 0 - f*l**2 + 1/2*l**3 + 1/6*l**5 + 0*l - 1/2*l**4 = 0.
0, 1
Let w(d) be the third derivative of -d**7/840 + 7*d**6/480 + d**5/80 - 23*d**4/96 + 7*d**3/12 + 117*d**2. Factor w(b).
-(b - 7)*(b - 1)**2*(b + 2)/4
Suppose -129/4*w - 65/2*w**2 - 25/4*w**3 - 9 = 0. What is w?
-4, -3/5
Let q = 1197 - 1188. Let b(k) be the first derivative of -2/3*k**2 + 1/3*k**4 + 0*k + 0*k**3 - q. Find s, given that b(s) = 0.
-1, 0, 1
Let d be (-12)/(-84) - (-58)/(-14). Let h(u) = -u**2 - 3*u + 7. Let c be h(d). Find v such that 5/4*v**c + 11*v - 2 + 25/4*v**4 - 33/2*v**2 = 0.
-2, 2/5, 1
Suppose p + 4 = 2*r, -25*p = -r - 23*p + 2. Find d, given that 2/9*d + 0 - 2/9*d**r = 0.
0, 1
Let u(m) be the third derivative of -m**5/270 + 13*m**4/108 - 22*m**3/27 + 326*m**2. Determine l so that u(l) = 0.
2, 11
Let u(l) = l**3 - 9*l**2 - l + 9. Let r be u(9). Let k = 4 - r. Factor -7*d**4 - 27*d**5 + 3*d**4 - 2*d**k.
-3*d**4*(9*d + 2)
Let h(n) = 85*n**3 + 1495*n**2 + 1240*n - 2925. Let q(k) = -5*k**3 - 88*k**2 - 73*k + 172. Let a(i) = -2*h(i) - 35*q(i). Factor a(z).
5*(z - 1)*(z + 2)*(z + 17)
Let h(c) be the first derivative of c**4/2 + 2*c**3/3 - 2*c**2 - 45. Factor h(m).
2*m*(m - 1)*(m + 2)
Let u be 480/1092 - (123/39 + -3). Factor 10/7*c + 8/7 + u*c**2.
2*(c + 1)*(c + 4)/7
Let g be (-6 + 3)/((-3)/8). Let v = -6 + g. Find a such that -v*a**3 + a + 6 - 6 + a**5 = 0.
-1, 0, 1
Let y be -2 + 3/(-2) - (-3)/6. Let l be -1*2 - (y + -1). Factor -l*s**2 + 0 - 3/2*s + 1/2*s**5 + 2*s**4 + s**3.
s*(s - 1)*(s + 1)**2*(s + 3)/2
Let j(y) be the second derivative of 1/6*y**3 + 1/16*y**4 - 1/240*y**6 + 0 + y**2 + 0*y**5 + 5*y. Let r(f) be the first derivative of j(f). Factor r(v).
-(v - 2)*(v + 1)**2/2
Let i be (-198)/2673 + 4/54. Let t(w) be the first derivative of i*w**5 - 8/7*w - 8 + 2/21*w**6 - 4/7*w**4 + 8/21*w**3 + 6/7*w**2. Solve t(a) = 0.
-2, -1, 1
Let r(i) be the first derivative of 1/24*i**3 + 0*i**2 + 1/48*i**4 + 5*i - 2. Let o(t) be the first derivative of r(t). Let o(z) = 0. Calculate z.
-1, 0
Let f(g) be the third derivative of -14*g**2 + 0*g + 0 - 1/120*g**5 - 1/24*g**4 + 0*g**3. Let f(s) = 0. Calculate s.
-2, 0
Factor -53*t - t**2 + t**3 - 4*t**2 + 57*t.
t*(t - 4)*(t - 1)
Let g be (-84)/(-308) - 19/110. Let t(k) be the second derivative of 0*k**3 - g*k**6 + 0*k**5 + 0*k**2 + 5*k + 0 + 0*k**4 - 1/14*k**7. What is u in t(u) = 0?
-1, 0
Suppose 4*y = -3*a + 66, 2*y = -a - 0*y + 20. Suppose 25 = r - 6. Suppose r*z - a*z - z**2 - 2*z**2 + 2 = 0. What is z?
-1/3, 2
Let i(o) be the first derivative of -1/2*o**4 - 2*o**3 - 3*o**2 - 15 - 2*o. Determine w, given that i(w) = 0.
-1
Suppose 10 = -5*h - 2*q, -h = -3*q + 4 - 19. Let d(z) be the second derivative of h*z**3 + 1/10*z**6 - 3/5*z**5 - 3*z + 0*z**2 + z**4 + 0. Solve d(x) = 0.
0, 2
Let s(i) = -5*i - 13. Let t be s(-3). Find n such that -2*n**3 - 3*n**3 - 60 + 30*n**2 + 5*n**t - 20*n + 0*n**3 = 0.
-1, 2, 6
Let b(r) be the third derivative of r**6/840 - r**5/420 - r**4/84 - 3*r**2 + 7. Find w such that b(w) = 0.
-1, 0, 2
Factor 1/6*g**2 - 11/3*g + 7/2.
(g - 21)*(g - 1)/6
Let h = 44 - 32. Factor 13*x**3 + 0*x - 2 - 4*x + x + h*x**2 - 20*x**3.
-(x - 1)**2*(7*x + 2)
Let b(a) = -a**3 - 11*a**2 - 8*a - 3. Let p be b(-11). Factor -973*m + 85*m**3 - 35*m**4 + 943*m + p*m**2 - 5*m**3.
-5*m*(m - 3)*(m + 1)*(7*m - 2)
Let k be (-2)/7 - 6*(-798)/10584. Let -1/2*h + 1/3*h**2 + 0 + k*h**3 = 0. Calculate h.
-3, 0, 1
Let v(m) be the first derivative of 2*m**5/5 - 6*m**4 + 30*m**3 - 54*m**2 - 197. What is a in v(a) = 0?
0, 3, 6
Factor -6 - 129/8*b**3 - 33/8*b**4 - 219/8*b**2 - 21*b - 3/8*b**5.
-3*(b + 1)**3*(b + 4)**2/8
Suppose 190*f = 62*f + 256. Factor 2/15*r**f - 2/15 + 2/15*r - 2/15*r**3.
-2*(r - 1)**2*(r + 1)/15
Suppose -94*v**2 - 27378/5 - 27846/5*v - 2/5*v**3 = 0. Calculate v.
-117, -1
Let p(r) = -r**5 + 3*r**4 - 5*r**3 - 5*r**2. Let v(m) = -m**5 + 4*m**4 - 6*m**3 - 6*m**2. Let w(x) = -6*p(x) + 5*v(x). Factor w(j).
j**4*(j + 2)
Factor 3*g**2 + 39*g**2 + 87 + 144*g + 37*g**3 - 35*g**3 + 49.
2*(g + 2)**2*(g + 17)
Factor -16/7 - 2/7*u**2 + 18/7*u.
-2*(u - 8)*(u - 1)/7
Let l(w) be the third derivative of -w**6/24 + w**5/4 + 5*w**4/4 - 20*w**3/3 + 116*w**2. Factor l(m).
-5*(m - 4)*(m - 1)*(m + 2)
Let u(i) be the first derivative of 0*i**3 - 1/6*i**4 + 0*i**2 - 4 - 1/30*i**6 - 3/20*i**5 + 3*i. Let t(y) be the first derivative of u(y). Factor t(a).
-a**2*(a + 1)*(a + 2)
Let x be 4/(12/9) - 7. Let v be 432/30 - x/(-10). What is p in -3*p + 2*p**3 + p**4 + 4*p**4 + 9 + p**5 + 0*p**4 - v*p**2 + 0*p**4 = 0?
-3, -1, 1
Let l be 2/(-3 - (-40)/12). Let w be ((-11)/((-308)/(-16)))/(l/(-35)). What is g in -1/3 + w*g - 25/3*g**2 = 0?
1/5
Let i = -9/26 + -9/26. Let d = -55/117 - i. Suppose d*l**2 + 2/9*l**4 + 0 + 0*l + 4/9*l**3 = 0. Calculate l.
-1, 0
Let o be 135/(-756)*16 - (0 + -4). Factor o*m**2 + 18/7 + 1/7*m**3 + 3*m.
(m + 2)*(m + 3)**2/7
Factor 8/7*j + 2/7*j**2 + 6/7.
2*(j + 1)*(j + 3)/7
Suppose -4*s + s = -f - 124, 5*f = s - 46. Let b = s + -41. Factor -4/11*o + b - 2/11*o**2.
-2*o*(o + 2)/11
Factor -4*z**2 - 87*z + 7*z**2 + 120 - 97 - 110 - 201.
3*(z - 32)*(z + 3)
Let n(q) be the first derivative of 10*q**6/27 + 52*q**5/45 + q**4 - 4*q**3/27 - 4*q**2/9 - 77. Factor n(x).
4*x*(x + 1)**3*(5*x - 2)/9
Let b(z) be the second derivative of 1/75*z**6 - 11*z + 2/25*z**5 + 0 + 1/6*z**4 + 2/15*z**3 + 0*z**2. Let b(a) = 0. What is a?
-2, -1, 0
Let b(j) = -j**3 - 21*j**2 - 26*j + 15. Let d be b(-20). Let m be (-1 - (-123)/d)*(-25)/10. Factor m*y + 0 + 2/9*y**2.
2*y*(y + 1)/9
Suppose 9*k**5 + 5*k**4 - 20*k - 5*k**5 - 16*k**2 - 36*k + 13*k**4 - 24 + 16*k**3 - 14*k**2 = 0. What is k?
-2, -1, 3/2
Factor 4 - 2/3*z**2 + 10/3*z.
-2*(z - 6)*(z + 1)/3
Let i = 110 - 61. Find h such that h**2 