 64/3 + 0*o = 0.
-8, 8
Let f(q) = 6*q**5 + 35*q**4 - 92*q**3 + 91*q**2 + 5*q. Let d(z) = z**5 + z**4 + z**3 + 5*z**2 + z. Let b(x) = 5*d(x) - f(x). Factor b(j).
-j**2*(j - 2)*(j - 1)*(j + 33)
Let p(i) be the third derivative of i**7/42 - 43*i**6/24 - 11*i**5/3 - 459*i**2 + 2*i. What is n in p(n) = 0?
-1, 0, 44
Suppose 734/5*m - 736/5 + 2/5*m**2 = 0. What is m?
-368, 1
Let m(d) be the second derivative of -5*d**7/42 + 10*d**6/3 - 41*d**5/2 + 45*d**4 - 75*d**3/2 - 2862*d. Determine s, given that m(s) = 0.
0, 1, 3, 15
Let 5*j**5 + 13603940*j - 6066552*j + 3720551*j + 2106415*j - 2585*j**4 - 25886000*j**2 + 446340*j**3 + 12077886*j = 0. What is j?
0, 1, 172
Factor 400/9*c - 808/9 + 2/9*c**2.
2*(c - 2)*(c + 202)/9
Factor -590 + 50*q + 37*q - 47*q + 68*q + 2*q**2.
2*(q - 5)*(q + 59)
Let y be (-280)/(-42)*9/6. Suppose -4*m + 7 + 3 = -5*x, -y = 3*m + 5*x. Solve 0 + 0*f**2 + m*f - 4/9*f**3 = 0 for f.
0
Let m be 4544/192 + (-1625)/75. Let c = -57/20 - -13/4. Suppose 0*k - c*k**3 + 0 + 2/5*k**m = 0. Calculate k.
0, 1
Let v be 1020/(-7140) - 63/(-98). Factor 1/8*j**4 + j**2 + 0 + 5/8*j**3 + v*j.
j*(j + 1)*(j + 2)**2/8
Let v(q) = q**4 - 9*q**3 + 57*q**2 - 67*q + 12. Let f(h) be the first derivative of h**4/2 - h**2 - h + 102. Let c(b) = 6*f(b) - v(b). Factor c(m).
-(m - 18)*(m - 1)**3
Let y(w) = 54*w**2 + 297*w - 424. Let g(k) = -10*k**2 - 59*k + 85. Let h(z) = -11*g(z) - 2*y(z). Factor h(b).
(b + 29)*(2*b - 3)
Let n(s) be the second derivative of s**5/12 + 85*s**4/36 + 140*s**3/9 + 130*s**2/3 + 1114*s. Factor n(j).
5*(j + 2)**2*(j + 13)/3
Let a = 83 + -81. Let p(y) = -2*y**2 + 50*y - 338. Let n(l) = -10*l**2 + 249*l - 1690. Let f(j) = a*n(j) - 11*p(j). Factor f(x).
2*(x - 13)**2
Let n(c) be the first derivative of 4/45*c**5 + 0*c**2 - 1/27*c**6 + 60 + 2/9*c**4 - 16/27*c**3 + 0*c. Find i such that n(i) = 0.
-2, 0, 2
Let j = -636 - -2686. Let s = 10256/5 - j. Find d such that -s*d**4 - 16/5 - 56/5*d - 68/5*d**2 - 34/5*d**3 = 0.
-2, -1, -2/3
Let c(q) = q**3 + 9*q**2 - 17*q - 65. Let u be c(-10). Suppose -u*a + 8 = -2*y, -5*y + y - 16 = 0. Suppose -1/3*z**2 + a - 1/3*z = 0. Calculate z.
-1, 0
Let f(i) = -31*i**3 - 4*i**2 + 3*i. Let r be f(1). Let k be ((-126)/(-28))/((-30)/r). What is a in k*a + 2/5*a**2 + 72/5 = 0?
-6
Let d(q) be the third derivative of -q**6/120 + 11*q**5/20 - 119*q**4/24 + 29*q**3/2 - 80*q**2 - 4*q. Suppose d(m) = 0. Calculate m.
1, 3, 29
Let i(m) = m**5 - m**3 - 2*m**2 + 2*m - 2. Let z(q) = -8*q**5 - 10*q**4 - 25*q**3 - 24*q**2 - 29*q + 14. Let j(d) = -14*i(d) - 2*z(d). Factor j(c).
2*c*(c + 1)**2*(c + 3)*(c + 5)
Let k(p) = -2*p**3 + 14*p**2. Suppose -5*w + 2*u - 2 = 3, 2*w + 26 = -4*u. Let f(y) = 2*y**3 - 15*y**2. Let z(h) = w*k(h) - 4*f(h). Factor z(o).
-2*o**2*(o - 9)
Let l = -51195 - -51200. Factor 10/9*z**l + 0 - 4/9*z - 2/9*z**2 + 26/9*z**4 + 2*z**3.
2*z*(z + 1)**3*(5*z - 2)/9
Let m = -53385/2 + 26693. Factor 3/4*r + 1/4*r**4 - 3/4*r**3 - m + 1/4*r**2.
(r - 2)*(r - 1)**2*(r + 1)/4
Factor 426888/19 + 2/19*w**2 - 1848/19*w.
2*(w - 462)**2/19
Let m be ((6/84)/((-4)/(-56)))/(3/12). Factor 0*a + 0 - 2/3*a**2 - 4*a**m + 3*a**5 - 11/3*a**3.
a**2*(a - 2)*(3*a + 1)**2/3
Find l such that 135/7*l**3 - 36/7*l**2 + 8/7*l**5 - 107/7*l**4 + 0*l + 0 = 0.
0, 3/8, 1, 12
Let p be 18/(-21) + (-1134)/(-294). Let b(s) be the third derivative of 6*s**p - s**4 + 1/15*s**5 + 0 - 32*s**2 + 0*s. Factor b(f).
4*(f - 3)**2
Let h = -5540704/9 + 615634. Let d = 1267/2871 - -1/319. Let -d*y**2 - h*y**3 - 2/9*y + 0 = 0. Calculate y.
-1, 0
Let x be 138/(-253)*(-11)/39. Factor 6/13*a**2 + x*a - 8/13*a**3 + 0.
-2*a*(a - 1)*(4*a + 1)/13
Let j = 18 + -12. Suppose q + j*q = 28. Factor 7*x**4 + 3*x**5 - 22*x + 111*x**3 - 12 - 117*x**2 + 6*x**5 - 58*x**q + 82*x.
3*(x - 2)*(x - 1)**3*(3*x - 2)
Let i(y) be the second derivative of -1/60*y**6 - y - 5/12*y**4 + 2/15*y**5 + 0 + 5*y**2 + 2/3*y**3. Let v(a) be the first derivative of i(a). Factor v(f).
-2*(f - 2)*(f - 1)**2
Determine o so that 6*o + 0 - 2/3*o**2 = 0.
0, 9
Let j(u) be the second derivative of u**6/120 + 15*u**5/16 + 143*u**4/48 - 73*u**3/8 + 3387*u. Factor j(h).
h*(h - 1)*(h + 3)*(h + 73)/4
Let v(i) be the first derivative of i**6/240 + i**5/30 + 5*i**4/48 + i**3/6 - 191*i**2/2 - 310. Let m(r) be the second derivative of v(r). Factor m(j).
(j + 1)**2*(j + 2)/2
Let s(n) = 4540*n - 340434. Let i be s(75). Factor 18 + 21/2*w**2 - i*w.
3*(w - 6)*(7*w - 2)/2
Let s = -7 + 11. Let w be (2 - 6/s)*6. Find q such that 6*q**2 + 2*q**5 + 4*q**3 + 8*q**4 - 2*q**2 + 15*q**w - 9*q**3 = 0.
-2, -1, 0
Let n(r) = 3*r**3 + 36*r**2 - 34*r - 1. Let s be n(1). Let y(b) be the first derivative of -16 + 1/12*b**s - 2/3*b - 1/6*b**2 + 2/9*b**3. Factor y(z).
(z - 1)*(z + 1)*(z + 2)/3
Let x = 28068 - 84152/3. Let x*o**2 - 224/9*o - 32/9*o**3 + 2/9*o**4 + 98/9 = 0. What is o?
1, 7
Let u(r) be the third derivative of -r**5/300 + 317*r**4/120 + 319*r**3/15 - 4*r**2 - 996. Factor u(j).
-(j - 319)*(j + 2)/5
Let s be ((-22)/3)/22*45/(-3). Let o(q) be the first derivative of 8/3*q**6 + 0*q**3 + 0*q**2 + 2*q**4 - 36/5*q**s + 0*q - 14. Factor o(a).
4*a**3*(a - 2)*(4*a - 1)
Let i = 51847 + -51845. Factor 2/5*l**i + 64/5 - 36/5*l.
2*(l - 16)*(l - 2)/5
Let h(o) be the second derivative of o**6/90 - o**5/15 - 163*o**4/18 + 326*o**3/3 - 969*o**2/2 + 1712*o. Factor h(v).
(v - 17)*(v - 3)**2*(v + 19)/3
Let d be (-128)/(-56) - ((-1232)/(-704) + (-82)/56). Suppose 12/11*x + 10/11 + 2/11*x**d = 0. Calculate x.
-5, -1
Suppose -4*h + 6 = -2. Let k be (7/(-1) + h)*-1. Factor 10 + 260*q**3 - 135*q**3 - 130*q**3 + k*q - 10*q**2.
-5*(q - 1)*(q + 1)*(q + 2)
Let s = 6157/9 - 684. Let f = s + 11/9. Suppose 0*h - 4/3*h**4 + 0 + 4/3*h**5 + 4/3*h**2 - f*h**3 = 0. What is h?
-1, 0, 1
Let l = 14259/20 - 2851/4. Let s(u) be the third derivative of -3/2*u**3 - 1/70*u**7 + 3*u**2 + 0 + l*u**5 - 1/20*u**6 + 1/4*u**4 + 0*u. What is h in s(h) = 0?
-3, -1, 1
Let p(s) be the second derivative of -s**7/273 - s**6/15 - 18*s**5/65 - 225*s. Determine w so that p(w) = 0.
-9, -4, 0
Let u(y) be the first derivative of y**6/21 - 12*y**5/35 - 2*y**4 + 16*y**3/3 + 288*y**2/7 + 512*y/7 + 1038. Let u(v) = 0. What is v?
-2, 4, 8
Let v(f) be the first derivative of -f**5/40 - f**4/8 + f**2 + 2*f - 93. Let o(c) be the first derivative of v(c). Find s, given that o(s) = 0.
-2, 1
Let c(n) be the first derivative of 175*n**6/18 - 99*n**5 + 289*n**4/6 + 820*n**3/9 - 4*n**2 - 64*n/3 - 913. What is d in c(d) = 0?
-2/5, 2/7, 1, 8
Let l(j) be the first derivative of -j**4/4 + 5*j**3/3 + 4*j**2 - 10*j - 57. Let u be l(6). Determine f, given that 4/5*f**3 + 32/5*f - 64/5 + 28/5*f**u = 0.
-4, 1
Let v = 532 - 527. Let h be (-4 - (-185)/45) + v/36. Factor 81/4 - 9/2*x + h*x**2.
(x - 9)**2/4
Let q = -11834/3 - -189353/48. Let k(w) be the first derivative of -15/4*w - 3/4*w**3 - 27/8*w**2 + q*w**4 + 31. Factor k(m).
3*(m - 5)*(m + 1)**2/4
Let f(o) = -o**3 + 36*o**2 + 78*o - 40. Let c be f(38). Let n be 2/c*(-414)/(-92). Find m such that 0 + m**4 + m**3 + n*m**2 + 0*m = 0.
-1/2, 0
Factor 2/13*o**3 + 8/13 - 6/13*o**2 + 0*o.
2*(o - 2)**2*(o + 1)/13
Let u be (144/((-30)/5))/((-4)/2). Let 24*s**2 - 17*s**3 + 10*s**2 - 2*s**2 + 2*s**4 - u*s = 0. Calculate s.
0, 1/2, 2, 6
Let c = -5891 + 5896. Let i(v) be the second derivative of -1/20*v**6 + 27*v - 1/2*v**4 + 0*v**2 + 0 - 3/10*v**c + 0*v**3. Factor i(s).
-3*s**2*(s + 2)**2/2
Let w = 39809/49755 + -1/9951. Factor 0 - 12/5*t + w*t**2.
4*t*(t - 3)/5
Factor -2645376 + 3984*k - 3/2*k**2.
-3*(k - 1328)**2/2
Let l(w) be the second derivative of -27*w - 6/5*w**2 + 0 - 13/15*w**3 - 1/25*w**5 - 3/10*w**4. Determine t so that l(t) = 0.
-2, -3/2, -1
Let k(q) be the second derivative of -2*q + 5/18*q**3 + 5/3*q**2 + 19 - 5/36*q**4. Factor k(t).
-5*(t - 2)*(t + 1)/3
Let p(a) be the second derivative of 1/5*a**4 + 1/75*a**6 + 0 - 1/10*a**5 + 4/15*a**3 - 13*a - 8/5*a**2. Let p(y) = 0. Calculate y.
-1, 2
Let z(w) be the first derivative of 15/28*w**4 - 1/35*w**5 + 7/2*w**2 + 0*w + 59 - 3*w**3. Suppose z(v) = 0. Calculate v.
0, 1, 7
Let w(f) be the third derivative of -480*f**7/7 + 4*f**6 + 3599*f**5/15 - 20*f**4 + 2*f**3/3 + 15*f**2 + f - 90. Suppose w(s) = 0. What is s?
-1, 1/60, 1
What is l in -26/5*l**4 + 531/5*l + 211/5*l**3 - 114*l**2 - 54/5 = 0?
3/26, 2, 3
Let n be ((-1)/(