*3 + c**4 - 3/20*c**5 + 0 + 3*c**2. Determine n, given that d(n) = 0.
1, 2
Let v(b) be the first derivative of 2*b**7/21 - 2*b**6/15 - 54*b - 65. Let u(d) be the first derivative of v(d). Solve u(j) = 0 for j.
0, 1
Let o be (-7)/(147/(-45)) - (3 + -4)*2/(-14). Let -36/11*x**o - 1/11*x**4 + 10/11*x**3 - 32/11 + 56/11*x = 0. Calculate x.
2, 4
Let j(f) be the first derivative of -12769*f**6/36 + 4407*f**5/10 + 12655*f**4/6 - 26440*f**3/9 + 152*f**2 - 8*f/3 + 52. Solve j(n) = 0 for n.
-2, 2/113, 1, 2
Let x be (4/10)/(5338/26690). Suppose -2/3*l**3 - x*l**4 + 20/3*l**2 + 10/3 - 1/3*l**5 + 9*l = 0. Calculate l.
-5, -1, 2
Let w(l) = 25*l**2 - 17*l - 83. Suppose 2*x + 112 = 124. Let q(v) = 3*v**2 - 2*v - 10. Let a(u) = x*w(u) - 51*q(u). Factor a(r).
-3*(r - 2)*(r + 2)
Let g(a) be the first derivative of -a**5 + 285*a**4/4 + 950*a**3 + 3920*a**2 + 5280*a - 4844. Let g(q) = 0. What is q?
-4, -1, 66
Let k(d) be the third derivative of -1/6*d**4 - 19/105*d**7 - 1/30*d**5 + 0*d + 0*d**3 - 141*d**2 + 2 + 1/24*d**8 + 1/4*d**6. Determine h so that k(h) = 0.
-2/7, 0, 1
Let y(u) be the first derivative of u**4/20 + u**3/3 - 13*u**2/10 + 7*u/5 - 502. Find j such that y(j) = 0.
-7, 1
Solve 414/5 + 3/5*d**2 - 417/5*d = 0 for d.
1, 138
Let y be 11 - (2 + -13) - 2. Suppose 0*u - 4*u + 20 = 0. Factor 45*r**3 - 20*r**4 - y*r**2 + 5*r**u - 8 + 8 - 10*r**4.
5*r**2*(r - 4)*(r - 1)**2
Let m(v) be the second derivative of 7*v**5/180 + 5*v**4/36 + v**3/6 + 55*v**2 + 24*v. Let o(y) be the first derivative of m(y). Factor o(p).
(p + 1)*(7*p + 3)/3
Suppose -4*s - 2*l = -8, 0 = -3*s + 310*l - 315*l + 6. Determine i, given that 13/4*i - 1 - 15/4*i**s - 1/4*i**4 + 7/4*i**3 = 0.
1, 4
Let k(m) be the third derivative of -m**7/504 + m**6/48 - 83*m**4/24 + 104*m**2. Let g(j) be the second derivative of k(j). Factor g(y).
-5*y*(y - 3)
Find u, given that -37*u**2 - 18 + 2895*u + 32*u**2 - 2 + 20 = 0.
0, 579
Let b(t) = -7*t**3 - 227*t**2 - 11451*t + 11661. Let y(g) = -19*g**3 - 677*g**2 - 34352*g + 34984. Let f(q) = 8*b(q) - 3*y(q). Factor f(c).
(c - 1)*(c + 108)**2
Let w be (1677/344 - 5)*-10. Let d be -2 - ((-9)/2 - 0). Let d*v**4 - 5/2*v**2 + 5/4*v**5 + 0 + 0*v**3 - w*v = 0. What is v?
-1, 0, 1
Let q be (-2976)/432 - (-2)/(-18) - 340/(-48). Let d(m) be the first derivative of -17 + 0*m**3 - q*m**2 + 1/24*m**4 + 0*m. Factor d(j).
j*(j - 1)*(j + 1)/6
Let r(i) be the third derivative of 1/25*i**5 + 1/210*i**8 + 0*i**3 + 0*i + 1/60*i**4 + i**2 + 4/175*i**7 + 0 + 13/300*i**6. Find b such that r(b) = 0.
-1, -1/2, 0
Let n(h) be the first derivative of -15/2*h**4 + 20*h + h**5 + 78 - 30*h**2 + 65/3*h**3. Determine y, given that n(y) = 0.
1, 2
Factor -288*d**4 + 2285*d**3 - 3914*d**3 - 39157*d**2 - 5162*d**2 - 4*d**5 - 5283*d**3 - 10977*d**2.
-4*d**2*(d + 24)**3
Let f be ((-2574)/90 - -28)*(-1 + -74). Let w(u) be the first derivative of -2/25*u**5 + 2/15*u**3 + 0*u + f + 1/10*u**4 - 1/5*u**2. Factor w(t).
-2*t*(t - 1)**2*(t + 1)/5
Suppose -46*v - 1197 = -49*v. Let k = 399 - v. Factor -1/3*z**4 - z**3 + k - 1/3*z - z**2.
-z*(z + 1)**3/3
Let 0 - 180/7*f + 6/7*f**3 + 78/7*f**2 = 0. Calculate f.
-15, 0, 2
Let q(w) = w**2 - 36*w + 245. Let m be q(9). Determine n, given that 14*n - 7*n + 5*n**m + 11 - 36*n + 19 + 4*n = 0.
2, 3
Factor -135*g + 3/4*g**4 + 75 + 183/4*g**2 + 27/2*g**3.
3*(g - 1)**2*(g + 10)**2/4
Let q be (-2132)/(-7) + 66/693. Let y = -300 + q. Determine v, given that 1/3*v**2 + y*v + 49/3 = 0.
-7
Let s(t) = -7*t + 214. Let f(l) = -5*l. Let o be f(-6). Let m be s(o). Let -8/3 + 16*r**2 + 88/3*r**3 - 4/3*r + 56/3*r**4 + m*r**5 = 0. Calculate r.
-2, -1, 1/3
Let b(w) be the second derivative of 5*w**7/42 + w**6/2 - 3*w**5/4 - 35*w**4/12 + 5*w**3 + 6*w - 14. Factor b(u).
5*u*(u - 1)**2*(u + 2)*(u + 3)
Let z(m) be the third derivative of -3*m**7/560 + 43*m**6/80 + 1427*m**5/480 + 389*m**4/96 + 5*m**3/2 + 122*m**2 - 6*m + 1. Solve z(b) = 0.
-2, -1/3, 60
Let l(r) be the first derivative of -r**4/18 - 16*r**3/9 + 172*r**2/9 - 160*r/3 + 4471. Factor l(p).
-2*(p - 4)*(p - 2)*(p + 30)/9
Let d(w) = -w**3 + 8*w**2 + 9*w + 2. Let t be d(-1). Factor 4 + t*z**3 + 17 - 38*z**2 - 21.
2*z**2*(z - 19)
Let n(s) be the second derivative of s**4/3 - 6*s**3 - 104*s**2 - 76*s + 6. Factor n(v).
4*(v - 13)*(v + 4)
Let q(j) be the first derivative of 3*j**2 + 14/9*j**3 + 1/30*j**5 + 8/3*j - 93 + 3/8*j**4. Factor q(r).
(r + 1)*(r + 2)**2*(r + 4)/6
Let g(k) = -5*k**4 + 76*k**3 - 199*k**2 - 100*k + 268. Let d(i) = -2*i**4 + 26*i**3 - 66*i**2 - 38*i + 89. Let p(o) = -8*d(o) + 3*g(o). Factor p(a).
(a - 2)**2*(a + 1)*(a + 23)
Let a(m) = -m**2 - 51. Let s(q) = q**2 + 90. Let y(i) = 7*a(i) + 4*s(i). Factor y(b).
-3*(b - 1)*(b + 1)
Let n(s) be the third derivative of s**8/336 + s**7/210 - s**6/40 - s**5/60 + s**4/12 + 2*s**2 + 572. Determine p so that n(p) = 0.
-2, -1, 0, 1
Let o(z) be the third derivative of z**6/180 - 11*z**5/15 + 27*z**4/4 + 310*z**3/9 + z**2 - 684. Factor o(y).
2*(y - 62)*(y - 5)*(y + 1)/3
Let a = 91 - 57. Suppose 70*i**3 - 148*i**2 - a - 8*i**4 - 18*i - 2 + 150*i - 10*i**3 = 0. Calculate i.
1/2, 1, 3
Let i = -30607/20 - -6179/4. Suppose 0 - i*z + 4/5*z**3 + 28/5*z**2 = 0. Calculate z.
-9, 0, 2
Let s(v) be the first derivative of -3*v**4/4 + v**3 + 3*v**2 + 2*v - 321. Let o be s(-1). Determine w, given that 2/3*w + 4/3*w**o + 0 + 2/3*w**3 = 0.
-1, 0
Let s(v) = v**2 + 8*v + 14. Let r be s(-8). Suppose 32 = -r*h + 22*h. Factor p - 2/3 + 1/3*p**2 - p**3 + 1/3*p**h.
(p - 2)*(p - 1)**2*(p + 1)/3
Let m(b) = -b**3 + 3*b**2 + 8*b + 4. Let c be m(6). Let u be 20/21 - (7 + 376/c). Solve 1/3*g + 2/3 - 1/3*g**3 - u*g**2 = 0.
-2, -1, 1
Let h(u) be the second derivative of -31*u**6/135 + 343*u**5/90 - 41*u**4/2 + 845*u**3/27 - 50*u**2/9 - 203*u. Find v such that h(v) = 0.
2/31, 1, 5
Find y such that 1365*y - 2290 + 315*y**2 - 3191*y**3 + 3186*y**3 + 615 = 0.
-5, 1, 67
Let c(g) be the third derivative of 0 + 25/36*g**4 + 5/6*g**3 + 0*g - 1/4*g**5 - 1/18*g**6 - 36*g**2. Find w, given that c(w) = 0.
-3, -1/4, 1
Suppose 0 = 79*z - 168 + 47 - 37. Solve 25/4*m**z - 5/2*m + 1/4 = 0.
1/5
Factor -2314 - 26*g**2 + 5*g**3 + 0*g**3 - 650*g + 3834 + 0*g**2 - 39*g**2.
5*(g - 19)*(g - 2)*(g + 8)
Let j(x) = -31*x**3 + 230*x**2 - 14163*x + 27354. Let r(z) = -5*z**3 - z**2 - z - 4. Let f(o) = j(o) - 6*r(o). Find s, given that f(s) = 0.
2, 117
Let w = 9354 - 9354. Let r(y) be the second derivative of 0*y**3 + 1/60*y**5 + 0 + 11*y + w*y**2 - 1/12*y**4. Factor r(p).
p**2*(p - 3)/3
Let d(t) = -5*t**4 - 324*t**3 - 318*t**2 + 324*t + 315. Let f(u) = 20*u**4 + 1295*u**3 + 1270*u**2 - 1295*u - 1260. Let v(b) = 15*d(b) + 4*f(b). Factor v(s).
5*(s - 1)*(s + 1)**2*(s + 63)
Suppose 70 = 2*u - a, -6*u - 5*a = -7*u + 44. Suppose 42*z - u*z = 16. Factor -2/9*l**4 + 2/3*l**3 + 0 + 2/9*l - 2/3*l**z.
-2*l*(l - 1)**3/9
Let m(f) = -11*f**2 - 2*f + 28. Let z(d) = -34*d**2 - 8*d + 82. Let t(n) = -7*m(n) + 2*z(n). Find w, given that t(w) = 0.
-16/9, 2
Suppose 3*v = -3*b - 21, -231*b + 226*b = 3*v + 35. Let n(l) be the first derivative of v*l**3 + 13 + 1/3*l**2 + 4/9*l - 1/18*l**4. Find t such that n(t) = 0.
-1, 2
Solve 366*n**2 + 19*n**3 - 16*n**3 + 217*n - 124*n - 32*n + 662*n + 360 = 0.
-120, -1
Suppose -66*l = -26*l + 84 - 164. Solve -6/5*y**4 - 54/5*y - 74/5*y**3 + 8/5*y**5 - 106/5*y**l - 8/5 = 0.
-1, -1/4, 4
Suppose -5*c - 20 = 0, -4*z + 862 = -2*c - 754. Let b = z + -399. Factor 48/17*n + 32/17 + 2/17*n**b + 18/17*n**2.
2*(n + 1)*(n + 4)**2/17
Suppose 245 = 7*f - 2*f. Let n = 53 - f. Factor -9*y**3 - 6 - 2*y**n + 4*y**3 + 8*y**2 + y**3 + 4*y.
-2*(y - 1)**2*(y + 1)*(y + 3)
Let m = 4520864/6015 + -3758/5. Let t = m - -4846/20451. Factor 2/17*s**4 + 0 + 10/17*s**2 - t*s - 8/17*s**3.
2*s*(s - 2)*(s - 1)**2/17
Let l = -4788 + 4791. Let m(a) be the second derivative of -6561/23*a**2 - 81/23*a**4 - l + 18/115*a**5 - 3*a + 972/23*a**3 - 1/345*a**6. Factor m(i).
-2*(i - 9)**4/23
Let p = 5 - -21. Factor 8 - 14*v**3 + 3*v**4 - 4*v**4 - p*v + 7*v**2 + 3*v**4 + 23*v**2.
2*(v - 4)*(v - 1)**3
Let v be (372/(-70) - 4/14)*(-2540)/762. Let d be (-3)/(-1) - 0 - 0. Factor -26/3*r**2 + v*r - 2*r**d - 8.
-2*(r - 1)*(r + 6)*(3*r - 2)/3
Let m = 821/318 - 128/53. Let u(q) be the third derivative of 28*q**2 - 1/12*q**4 + m*q**3 + 0*q + 0 + 1/60*q**5. Solve u(v) = 0 for 