 0.
-1, 2/9, 4
Let q be 0*((-25)/(-15) - 2). Let -42*k**3 - 24*k + q*k**4 + 20*k**4 - 17*k**2 - 59*k**2 + 10*k**3 = 0. Calculate k.
-1, -2/5, 0, 3
Let l(u) be the third derivative of -u**7/42 + 3*u**6/8 - 7*u**5/12 - 15*u**4/8 + 20*u**3/3 + 7*u**2 + 177. Determine a, given that l(a) = 0.
-1, 1, 8
Let y(q) = 8*q**3 - 1320*q**2 + 12*q - 6. Let t(s) = 7*s**3 - 1323*s**2 + 10*s - 5. Let v(f) = -6*t(f) + 5*y(f). Factor v(h).
-2*h**2*(h - 669)
Let f(l) be the third derivative of l**8/112 - 17*l**7/210 - 39*l**6/40 - 127*l**5/60 - 5*l**4/4 - 4*l**2 + 2*l - 201. Find u, given that f(u) = 0.
-3, -1, -1/3, 0, 10
Let r be -6*((-26)/(-6) - 5). Factor -16*m**2 - 88*m**3 + 83*m**3 - r*m**2.
-5*m**2*(m + 4)
Suppose 105*q - 8149 = 134*q. Let n = q - -284. Factor -1/3*i**n + 1/3*i - 1/3*i**2 + 1/3.
-(i - 1)*(i + 1)**2/3
Let q = 87 + -89. Let u be (-7)/q - (-4)/8. Factor 70*i - u*i**2 - 156*i + 78*i.
-4*i*(i + 2)
Suppose -32 + 272 = 16*o. Suppose o*k - 5*k = 0. Determine n, given that -2/13*n**5 + 2/13*n**2 + 6/13*n**3 - 4/13*n + k - 2/13*n**4 = 0.
-2, -1, 0, 1
Let c(n) = 35*n - 41. Let w be c(6). Let i = w - 24. Factor -24*u - 141*u**2 + 10 + i*u**2 + 10.
4*(u - 5)*(u - 1)
Let c(j) = j**3 + j**2 - j + 4. Let k be c(0). Suppose 0 = -6*g + k*g + 4. Factor 2*z**2 - g*z + 4 - z**3 - 6 + 3*z.
-(z - 2)*(z - 1)*(z + 1)
Suppose 11*k - 228 = -k. Let w = k + -16. Factor -56*i - 42*i**w + 160*i**2 - 183*i**3 + 23*i + 13*i - 405*i**4.
-5*i*(i + 1)*(9*i - 2)**2
Let k be (-52)/104*(-24)/2. Suppose k*y - 10 = 4*y. Determine g so that 4/7*g**y - 8/7*g**3 + 4/7*g - 8/7 - 8/7*g**4 + 16/7*g**2 = 0.
-1, 1, 2
Let k(i) = 8*i**4 + 308*i**3 + 682*i**2 + 364*i - 72. Let a(o) = 2*o**4 + 88*o**3 + 195*o**2 + 104*o - 20. Let p(h) = 18*a(h) - 5*k(h). Factor p(n).
-4*n*(n - 13)*(n + 1)**2
Let g(v) be the third derivative of -2*v**5/25 + 31*v**4/6 - 298*v**3/15 - v**2 - v + 29. Determine k so that g(k) = 0.
1, 149/6
Let w(c) be the first derivative of 4*c**3/15 - 116*c**2 + 4576*c/5 + 7048. Let w(r) = 0. What is r?
4, 286
Let b(w) be the first derivative of -w**6/10 + 48*w**5/25 - 189*w**4/20 + 92*w**3/5 - 66*w**2/5 - 1112. What is i in b(i) = 0?
0, 1, 2, 11
Let b = 7 - 7. Let c = b + 1. Let y(t) = -t**2 - t + 1. Let z(s) = -7*s**2 - 8*s + 6. Let v(a) = c*z(a) - 6*y(a). Find g such that v(g) = 0.
-2, 0
Let n = 51521 - 566727/11. Factor 0*b**3 + 2/11 - n*b**2 + 2/11*b**4 + 0*b.
2*(b - 1)**2*(b + 1)**2/11
Let v = -273 + 293. What is a in 5*a**5 - 22*a + 45*a**3 + v*a**2 - 13*a**4 - 17*a**4 - 38*a = 0?
-1, 0, 2, 3
Let r(n) be the first derivative of 3*n**4/4 + 50*n**3 - 153*n**2/2 + 1922. Suppose r(u) = 0. Calculate u.
-51, 0, 1
Let l be (1 - 0) + 67 + -41. Suppose -304 = -l*i - 11*i. Let 9/2*n + 7*n**3 + i*n**2 + 1/2*n**5 + 3*n**4 + 1 = 0. Calculate n.
-2, -1
Let n = 2461 + -2446. Let t(u) be the first derivative of -15 + 5*u**2 - 5/3*u**3 + n*u. Suppose t(q) = 0. Calculate q.
-1, 3
Suppose -15*s + 45*s = 0. Let d(r) be the first derivative of 0*r + 2/15*r**5 + 0*r**2 - 8/9*r**3 + 12 + s*r**4. Determine o so that d(o) = 0.
-2, 0, 2
Suppose -4*b - 12 = -44*w + 43*w, 36 = -2*w - 4*b. Let q(a) = 33*a + 264. Let x be q(w). Determine n so that 1/7*n**2 + x*n - 2/7*n**3 + 0 + 1/7*n**4 = 0.
0, 1
Let g(b) = 5*b**2 - 83*b + 82. Suppose 59 = -2*j + 73. Let k(h) = -19*h**2 + 250*h - 245. Let d(w) = j*g(w) + 2*k(w). Factor d(l).
-3*(l - 1)*(l + 28)
Let s(n) be the first derivative of n**4/2 - 4*n**3 + 5*n**2 - 227. Determine y, given that s(y) = 0.
0, 1, 5
Let f = 474 + -4262/9. Let l = -857/234 - -101/26. Determine k, given that -2/3*k - f - l*k**2 = 0.
-2, -1
Let j = 339 - 188. Suppose 0 = 5*m - j - 44. Factor -1 - 45*r**2 - r**4 - 2*r**4 + 21*r**3 - 3 - 8 + m*r.
-3*(r - 4)*(r - 1)**3
Let k = 608 + -606. Suppose 0 = 5*t - 3*i - 22, 0 = -k*t + 12*i - 9*i + 16. Factor 2/5*v + 12/5 - 2/5*v**t.
-2*(v - 3)*(v + 2)/5
Let c(m) be the first derivative of -208 + 2/3*m**4 + 28/3*m**3 - 44/3*m - 8*m**2. Let c(y) = 0. What is y?
-11, -1/2, 1
Suppose -525*h - 68*h + 195*h + 73*h - 675*h + 50000 + 5*h**2 = 0. Calculate h.
100
Let d(i) be the first derivative of i**6 + 7*i**5/5 - 3*i**4/2 - 7*i**3/3 + 6419. Factor d(v).
v**2*(v - 1)*(v + 1)*(6*v + 7)
Let w(p) = -2*p**2 - 176*p - 168. Let h(t) = 12*t**2 + 1056*t + 1010. Let d(z) = -6*h(z) - 34*w(z). Factor d(k).
-4*(k + 1)*(k + 87)
Let x = 4682/567 + -530/81. Factor 20/7*m**2 + x + 64/7*m.
4*(m + 3)*(5*m + 1)/7
Let p(z) be the third derivative of 1/42*z**4 + 0*z - 1/1176*z**8 + 0*z**3 - 1/735*z**7 + 1/140*z**6 - 8*z**2 + 2 + 1/42*z**5. Factor p(l).
-2*l*(l - 2)*(l + 1)**3/7
Let r = 23 - 381. Let j = r + 360. Factor 1/3*y**4 + 0 + y**j - 1/3*y - y**3.
y*(y - 1)**3/3
Let i(t) be the second derivative of -39 + 15*t**2 - 9/2*t**3 - 1/4*t**4 - 2*t. Solve i(f) = 0 for f.
-10, 1
Let q be -15*(-4 + 2)*(2 + (-18)/15). Let k(w) be the second derivative of 1/30*w**4 + q*w - 1/3*w**3 + 0 + 3/5*w**2 + 1/50*w**5. Suppose k(s) = 0. What is s?
-3, 1
Factor 1/5*j**4 - 3/5*j**3 - 1/5*j + 3/5*j**2 + 0.
j*(j - 1)**3/5
Let j(f) be the third derivative of 1/315*f**7 + 0*f - 16/9*f**3 + 1/6*f**5 - 282*f**2 + 0 + 2/45*f**6 - 2/9*f**4. Factor j(k).
2*(k - 1)*(k + 1)*(k + 4)**2/3
Let f(s) be the third derivative of 41*s**6/40 - 99*s**5/4 + 487*s**4/8 - 33*s**3/2 + 1275*s**2. Let f(y) = 0. Calculate y.
3/41, 1, 11
Let s = 1363038/7 - 194718. Solve s - 12/7*z**2 - 4/7*z + 4/7*z**3 = 0 for z.
-1, 1, 3
Let d(a) = 232*a - 5798. Let m be d(25). Let v(o) be the first derivative of -1/7*o**4 + 27 + 4/21*o**3 + 2/7*o**m - 4/7*o. Factor v(q).
-4*(q - 1)**2*(q + 1)/7
Solve 428/15*w**2 + 0 + 176/5*w - 98/15*w**3 + 2/15*w**4 = 0 for w.
-1, 0, 6, 44
Let x(k) = 3*k**2 - 36*k + 3. Let m be x(12). Determine l, given that 50*l - 5*l**4 + 5*l**2 + 52*l - 20*l**m + 60 - 22*l = 0.
-3, -2, -1, 2
Let g(d) be the first derivative of 1 + 1/20*d**4 - 13*d + 1/5*d**3 - 9/10*d**2. Let x(i) be the first derivative of g(i). Determine l, given that x(l) = 0.
-3, 1
Let z(r) be the second derivative of -r**5/100 + 32*r**4/5 - 254*r**3/5 + 152*r**2 - 215*r + 18. Find i, given that z(i) = 0.
2, 380
Factor 3/2*x**2 + 0*x + 0 - 363/4*x**3.
-3*x**2*(121*x - 2)/4
Let r(a) be the third derivative of -a**8/2352 + 4*a**7/735 - a**6/56 - a**5/21 + 19*a**4/42 - 8*a**3/7 + 2242*a**2. Determine m so that r(m) = 0.
-2, 1, 2, 3, 4
Suppose 33 = 9*j + 2*j. Suppose 0 = -3*i - c + 20, -2*i + j*c = c. Solve -4*q - 125 - 24*q - 22*q - i*q**2 = 0.
-5
Let q be (9/((-2142)/136))/(9/(-525)). Factor -10/3*f + 2/15*f**4 - q + 6*f**2 + 26/15*f**3.
2*(f - 2)*(f + 5)**3/15
Let d(a) be the second derivative of a**4/32 - 1033*a**3/8 + 3201267*a**2/16 - 25*a + 61. Find z, given that d(z) = 0.
1033
Let l(i) be the third derivative of -i**7/1050 + 11*i**6/150 - 21*i**5/50 - 1323*i**4/10 + 58653*i**3/10 - 42*i**2 - 25*i. Factor l(d).
-(d - 21)**3*(d + 19)/5
Let d(i) be the first derivative of -8 + 0*i**2 + 0*i - 22/3*i**3 + 2/15*i**5 - 1/180*i**6 - 4/3*i**4. Let k(h) be the third derivative of d(h). Factor k(n).
-2*(n - 4)**2
Suppose -4*z + 4*h + 6 = 22, 0 = 2*h - 8. Let f(r) = -36*r + 792. Let y be f(22). Factor 1/5*s**2 + z + y*s.
s**2/5
Let z(k) = k**3 + 2*k. Let a(i) = 50*i**3 - 25*i**2 + 90*i. Let p(r) = a(r) - 45*z(r). Factor p(m).
5*m**2*(m - 5)
Suppose -29*y = -206 + 3. Suppose y = 3*o + 5*r, -210*r + 208*r = -5*o + 22. Let -o*k + 4/7*k**2 + 0 = 0. What is k?
0, 7
Let y = -3254 - -3257. Let q(j) be the third derivative of 0*j**4 + 0*j**y - 15*j**2 + 1/6*j**5 + 0*j + 1/42*j**7 + 0 - 1/8*j**6. Factor q(z).
5*z**2*(z - 2)*(z - 1)
Let i = 31/6337 + 12581/19011. Factor 10/3*b + 8/3 + i*b**2.
2*(b + 1)*(b + 4)/3
Let n(w) be the second derivative of -7*w**5/270 - 5*w**4/108 + 13*w**2/2 - 26*w + 1. Let v(c) be the first derivative of n(c). Suppose v(s) = 0. Calculate s.
-5/7, 0
Suppose 0 = 5*l - 3*s - 43, -s + 436 - 447 = 0. Determine d, given that -6/7*d**4 - 15/7*d**5 + 15/7*d**3 + 0*d + 0 + 6/7*d**l = 0.
-1, -2/5, 0, 1
Let b(x) = x**2 + 4*x. Let r(p) = p. Let z(q) = b(q) - 3*r(q). Let m be z(-1). Determine w, given that m*w - 4*w + 0*w - 2*w + w**2 + 9 = 0.
3
Let s(h) be the first derivative of -h**7/280 - 3*h**6/80 - 11*h**5/80 - 3*h**4/16 - 5*h**2/2 - h - 54. Let k(d) be the second derivative of s(d). Factor k(z).
-3*z*(z + 1)*(z + 2)*(z + 3)/4
Let t(