y**6/15 - y**5/50 + 3*y**4/10 + y**3/15 - 4*y**2/5 + 8137*y. Find i, given that l(i) = 0.
-1, 4/5, 1
Factor -95628*z**4 + 10381*z + 95627*z**4 + 9472 + 136*z**3 + 1728*z**2 - 3341*z.
-(z - 148)*(z + 4)**3
Let o = -2059417/2 + 1029725. Find t such that -o*t - 63 + 3/2*t**2 = 0.
-3, 14
Let w(m) be the second derivative of m**6/1620 + m**5/108 + m**4/27 + 209*m**3/6 + 5*m + 4. Let q(h) be the second derivative of w(h). Factor q(v).
2*(v + 1)*(v + 4)/9
Let n(l) be the third derivative of l**6/40 - 2*l**5/5 - 43*l**4/8 + 55*l**3 + 3081*l**2. Factor n(h).
3*(h - 11)*(h - 2)*(h + 5)
Let q be (-30)/(-75) - 352/1155*(-2 + -3 - -6). Determine j so that -52/21*j**2 - 8/3 - q*j**3 + 110/21*j = 0.
-28, 1
Let k(m) = 3*m**2 - 2*m - 1. Let b(g) be the first derivative of -22*g**3/3 - 14*g**2 - 30*g - 20. Let n(x) = b(x) + 6*k(x). Suppose n(f) = 0. What is f?
-9, -1
Factor 32174*f**2 - 32*f + 1440 - 32226*f**2 - 184*f + 4*f**3.
4*(f - 15)*(f - 4)*(f + 6)
Let a(q) = 9*q**2 + 25*q + 24. Let t = -60 + 62. Let v = t + -18. Let i(s) = -28*s**2 - 76*s - 72. Let y(u) = v*a(u) - 5*i(u). Suppose y(j) = 0. What is j?
-3, -2
Let a(v) = 214 + 188 + 113*v - 56*v. Let r be a(-7). Factor 49/2*f**4 + 370*f + 50 + 1509/2*f**2 + 259*f**r.
(f + 5)**2*(7*f + 2)**2/2
Let t be (-4096)/(-3)*(-507)/(-4732). Suppose t + 4/7*j**2 + 128/7*j = 0. What is j?
-16
Let g(d) = 61*d + 1098. Let z be g(-18). Let k(m) be the third derivative of -3*m**2 + 0*m - 1/140*m**5 + z - 2/7*m**3 - 1/14*m**4. Factor k(b).
-3*(b + 2)**2/7
Suppose -13*q + 0 + 4 = -35. Let z(x) be the third derivative of 1/280*x**6 - 3/7*x**q - 14*x**2 + 0*x - 1/56*x**4 + 0 + 3/70*x**5. Let z(l) = 0. Calculate l.
-6, -1, 1
Let v(u) be the first derivative of -u**5 + 535*u**4/4 - 4680*u**3 - 7290*u**2 + 1167. Factor v(f).
-5*f*(f - 54)**2*(f + 1)
Factor -9*g**2 + 25/3*g + 1/3*g**4 + 26/3 - 25/3*g**3.
(g - 26)*(g - 1)*(g + 1)**2/3
Let a(v) be the first derivative of 0*v**3 + 0*v**5 + 0*v**2 - 98 + 1/12*v**6 + 0*v - 1/8*v**4. Determine j so that a(j) = 0.
-1, 0, 1
Find p such that 36*p - 523*p**2 + 1042*p**2 - 448 - 515*p**2 = 0.
-16, 7
Let x be ((-6375)/(-405))/(-85)*(-9)/15 - (-2)/(-18). Suppose 6/5*k**2 + 0*k + x + 6/5*k**3 = 0. What is k?
-1, 0
Suppose 0 = -5*x + 3*x - 2*o - 14, 0 = -4*x - 2*o - 32. Let n be 4 + ((-6)/(-9))/(6/x). Factor 9*q**3 - 14*q**4 + 12*q**3 + 2*q**n - 5*q**3 - 4*q**2.
-2*q**2*(q - 1)*(7*q - 2)
Let t = -907 + 1636. Determine m so that -t - 6*m**2 + 0*m**2 + m**2 + 759 + 25*m = 0.
-1, 6
Find n, given that 273/4*n**3 + 0 - 1/2*n**2 + 0*n = 0.
0, 2/273
Factor 1856/5*m + 144/5*m**3 - 1248/5 - 912/5*m**2 + 2/5*m**4.
2*(m - 2)**3*(m + 78)/5
Suppose 28*c + 280 = 2*i, 0 = 3*i + 2*c + 30 - 10. Solve -3/4*f - 13/4*f**2 + 33/4*f**4 + 3/4*f**3 + 5*f**5 + i = 0 for f.
-1, -1/4, 0, 3/5
Let d be (2 - 32/14)*(-5061)/964 - (-35)/14. Let 0*t + 96/7*t**3 + 0 - 44/7*t**5 + 0*t**2 - 520/7*t**d = 0. Calculate t.
-12, 0, 2/11
Let m(b) = -b**2 - b - 3. Let j(k) = 8*k**2 - 295*k + 27. Let y(p) = 2*j(p) + 18*m(p). Let y(l) = 0. Calculate l.
-304, 0
Let k(a) be the third derivative of -a**5/30 + 37*a**4/12 - 232*a**3/3 + 2306*a**2. Factor k(m).
-2*(m - 29)*(m - 8)
Let i = 973/36410 + 17323285/22421278. Let w = 2/3079 + i. Factor -2/5*m + w - 2/5*m**2.
-2*(m - 1)*(m + 2)/5
Let t = 87/2 + -253/6. Let n(a) be the first derivative of 0*a**4 - t*a**3 + 2/5*a**5 + 2*a + 0*a**2 + 13. Factor n(u).
2*(u - 1)**2*(u + 1)**2
Suppose 1012*j = 989*j + 3450. Let t be (1 + (-114)/j)*(-30)/(-9). Find z, given that 0 + 0*z - t*z**4 + 8/5*z**3 + 0*z**2 = 0.
0, 2
Let n be (-4)/(-14) + 80/(-35). Let s be (-3)/n*(-6)/(-3). Let -9*p + 10*p**2 - 6*p**3 + p + 0*p + 4*p**s = 0. What is p?
0, 1, 4
Let a be (-15)/(-9)*((-4374)/180)/(-27). Suppose -1/2*v**5 + 0 - 3*v - a*v**4 + 7/2*v**2 + 3/2*v**3 = 0. What is v?
-3, -2, 0, 1
Let l be 4 - (22 + 1) - -19. Let f(i) be the second derivative of l - i**4 + 1/2*i**3 + 7*i + 0*i**2. Factor f(b).
-3*b*(4*b - 1)
Let g(n) = 6*n**2 - 2*n - 20. Let i be (-6)/(-9) - ((-26)/6 + -1). Let f(h) = -h**2 + 4. Let k(a) = i*g(a) + 33*f(a). Determine j, given that k(j) = 0.
2
Let q(x) be the third derivative of x**7/1260 - x**6/36 + 5*x**5/12 + 11*x**4/8 + 47*x**2. Let v(s) be the second derivative of q(s). Factor v(h).
2*(h - 5)**2
Suppose 4*r = 2*n + 6, -8*r + 12 = -5*r. Suppose -12*g + 0*g - 3*g**4 + 4*g**2 - 143*g**3 + 152*g**3 + g**n - 3*g**4 = 0. Calculate g.
-1, 0, 2, 3
Determine r so that -198*r - 15*r**2 - 21*r**2 - 21*r**2 + 55*r**2 - 2167362 - 3966*r = 0.
-1041
What is p in 0 + 2/13*p**2 + 70/13*p = 0?
-35, 0
Let f(p) be the third derivative of 0*p**4 + 0 - 2*p - 26*p**2 - 1/2*p**5 + 0*p**3 - 1/24*p**6. Determine l, given that f(l) = 0.
-6, 0
Let p(w) be the second derivative of w**4/54 + 156*w**3 + 492804*w**2 - 2*w + 64. Suppose p(r) = 0. Calculate r.
-2106
Suppose -184/5*i + 192 + 4/5*i**3 - 156/5*i**2 = 0. Calculate i.
-3, 2, 40
Let f(s) be the third derivative of -s**7/1365 - 49*s**6/780 + 2*s**5/5 - 19*s**2 + 56. Factor f(d).
-2*d**2*(d - 3)*(d + 52)/13
Suppose -2*j - 480 + 474 = 0, 2*j = -4*a - 6. Let t(o) be the third derivative of 1/30*o**5 - 11*o**2 + 0 + 2/3*o**3 + 1/4*o**4 + a*o. What is b in t(b) = 0?
-2, -1
Factor -544/21 - 2/21*k**2 + 48/7*k.
-2*(k - 68)*(k - 4)/21
Let z(h) be the first derivative of 5/6*h**3 + 178 - 1/2*h**5 - 65/4*h**2 + 0*h + 65/8*h**4. Solve z(o) = 0.
-1, 0, 1, 13
Let t(w) = 3*w**3 - 28*w**2 + 7*w + 2. Let k(j) = -14*j**3 + 141*j**2 - 36*j - 11. Let f be (8/6)/((-47)/(-141)). Let r(y) = f*k(y) + 22*t(y). Factor r(b).
2*b*(b - 5)*(5*b - 1)
Let h = -9/22 + 251/506. Let l be (61/488)/((-1)/(-2)) - 2/(-184). Factor l*v + 0 + 8/23*v**2 + h*v**3.
2*v*(v + 1)*(v + 3)/23
Let x(z) be the first derivative of 0*z + 0*z**2 - 64/15*z**3 - 3/25*z**5 - 19 - 49/10*z**4. Find n such that x(n) = 0.
-32, -2/3, 0
Let v = 1349 + -1347. Suppose 12 = -4*s - 0*s, v*h = -4*s - 8. Factor -21/4*u**h + 9/4*u - 17/4*u**3 - 3/4*u**4 + 0.
-u*(u + 3)**2*(3*u - 1)/4
Let h(y) = -7*y - 16. Suppose -83*l + 87*l - o = -13, 2*l - 4*o = 4. Let k be h(l). Factor -8/5*v**2 - k*v - 28/5.
-4*(v + 7)*(2*v + 1)/5
Let y be (-341)/(2/3 + (-3935)/30). Let p = y - 50/29. Solve 8/9*h**2 - 4/9*h**3 + 0 - p*h**4 + 2/3*h - 2/9*h**5 = 0.
-3, -1, 0, 1
Solve -99*u**2 - 500*u**3 + 200*u**2 - u**4 - 101*u**2 = 0.
-500, 0
Let l(r) = 363*r + 4359. Let o be l(-12). Let j(b) be the first derivative of 5/6*b**o + 0*b + 7 + 5*b**2. Factor j(d).
5*d*(d + 4)/2
Let f be (42/(-77) - 106/(-154))/((-106)/(-1484)). Factor -21/2*w**f - 51*w - 36.
-3*(w + 4)*(7*w + 6)/2
Let u = -8/7943 + 16006/119145. Find y, given that u*y**3 + 8/15 + 2/3*y**2 + 16/15*y = 0.
-2, -1
Let u be 65/1040*-824 - -52. Factor -1/8*b**3 - 3/4*b**2 - 9/8*b - u.
-(b + 1)**2*(b + 4)/8
Let x(l) be the second derivative of l**5/80 - 11*l**4/48 + 35*l**3/24 - 25*l**2/8 - 362*l. Factor x(o).
(o - 5)**2*(o - 1)/4
Let d(z) = 5*z - 14. Let g be d(7). Let u be 6/g + (-790)/(-175). Factor u*k - 36/5 - 4/5*k**2.
-4*(k - 3)**2/5
Let v be (-355)/(-15) + 1/3 + -2. Suppose 2 = -21*r + v*r. Let -4*n**5 + 3*n**3 + 6*n**5 + n**r + 3*n**4 - n**5 = 0. Calculate n.
-1, 0
Let f(b) be the third derivative of 0*b**4 + b**2 + 0*b**3 - 12 - 1/40*b**5 + 0*b. Factor f(w).
-3*w**2/2
Let g(v) be the first derivative of 2/3*v**3 + 164 + 2*v**2 - v**4 + 0*v - 2/5*v**5. Let g(o) = 0. Calculate o.
-2, -1, 0, 1
Suppose -876/11 + 2/11*w**2 - 434/11*w = 0. Calculate w.
-2, 219
Let r(c) be the second derivative of -c**6/900 + 7*c**5/300 - c**4/6 - 5*c**3/3 - 2*c**2 - 33*c. Let n(w) be the second derivative of r(w). Factor n(m).
-2*(m - 5)*(m - 2)/5
Let b(h) = 23*h**2 + 5*h + 23. Let y(u) = u**2 + 2*u + 1. Let m(v) = v**2 + v + 1. Let n(q) = -7*m(q) + 3*y(q). Let a(r) = 6*b(r) + 34*n(r). Factor a(t).
2*(t - 1)**2
Let c(n) = 2*n**2 - 30. Let k(h) = 3*h**2 + 660*h + 21810. Let u(a) = -c(a) - k(a). Let u(b) = 0. What is b?
-66
Let r = 196 + -144. What is q in 0*q**2 + 45*q + 29*q - 26*q + r*q**2 + 4*q**3 = 0?
-12, -1, 0
Let w = -52 - -23. Let x = w + 32. Let q(j) = -2*j**2 - 18*j + 3. Let s(f) = -3*f**2 - 17*f + 2. Let a(b) = x*s(b) - 2*q(b). Find k such that a(k) = 0.
-3, 0
Factor 1789*z**4 - 624*z**3 - 3607*z**4 - 194064*z + 155482*z**2 - 57516*z**2 + 1819*z**4 + 96721.
(z - 311)**2*(z - 1)**2
Let l(b) be the first 