ond derivative of -o**5/10 - 13*o**4/6 - 32*o**3/3 - 20*o**2 + 317*o. Factor w(l).
-2*(l + 1)*(l + 2)*(l + 10)
Let k be ((-8)/(-14))/(2/14). Let w(o) be the first derivative of -4*o**k + 76/5*o**5 - 4*o - 9 + 8*o**6 - 24*o**3 - 16*o**2. Let w(b) = 0. Calculate b.
-1, -1/3, -1/4, 1
Suppose 4*y = 3*y. Let x(o) be the first derivative of y*o**2 - 3/20*o**4 + 0*o + 1 + 1/25*o**5 + 2/15*o**3. Find n such that x(n) = 0.
0, 1, 2
Suppose 0 = -148*j + 102*j + 184. Factor -1/3*q - 1/6*q**j + 1/6*q**2 + 1/3*q**3 + 0.
-q*(q - 2)*(q - 1)*(q + 1)/6
Suppose -13 = -4*n + 4*x + 3, -4*x = -n + 10. Suppose -3*j + 12*j = n*j. Determine m so that j + 12/7*m - 4/7*m**2 = 0.
0, 3
Let c(u) = -u + 3. Let q be c(-2). Let b(n) be the first derivative of -1/2*n**4 - q*n**2 - 4*n + 5 - 8/3*n**3. Suppose b(o) = 0. Calculate o.
-2, -1
Let c(m) be the third derivative of -m**7/70 - 9*m**6/40 + 3*m**5/4 + 53*m**4/8 + 15*m**3 + 333*m**2. Solve c(r) = 0.
-10, -1, 3
Let a(j) be the first derivative of -j**4/4 + 2*j**3/3 + j**2/2 + j + 4. Let u be a(2). Factor 5*d**3 - 3*d**u + 2*d**3 - 5*d**3.
-d**3
Let s(t) be the third derivative of 7/48*t**4 + 0 + 5*t**2 - 1/6*t**3 - 1/24*t**5 + 0*t. Determine f, given that s(f) = 0.
2/5, 1
Suppose -16 = -p - 6*f + 2*f, -2*p - 5*f = -23. Suppose 2*a - p = 6. Factor 5*o**2 - 3*o**2 + 3 - a.
2*(o - 1)*(o + 1)
Let l(r) be the first derivative of -r**7/140 - r**6/80 + r**5/20 + 4*r**2 + 5. Let j(w) be the second derivative of l(w). Suppose j(q) = 0. What is q?
-2, 0, 1
Suppose -m = t + 5 + 15, 5*m = 4*t + 89. Let g be (t + 2)/(6 + -7). Factor 6*h**2 + 32 - 3*h**3 + g*h**3 + 28*h + 2*h**4 + 42*h**2 + 36*h.
2*(h + 2)**4
Let n = -17 + 30. Suppose 0 = -5*f + x + 13, 0 = -2*f - 0*x + 3*x + n. Determine w so that 0*w**2 - 4*w**4 + w**4 + 2*w - w**5 + 0*w**f + 3*w**2 - w**3 = 0.
-2, -1, 0, 1
Let n = -31 + 37. Factor -3*o**3 + 0*o - o + n*o**4 - 5*o**4 + 3*o**2.
o*(o - 1)**3
Let u = -385 + 5777/15. Determine i so that 0 - 8/15*i + u*i**3 + 0*i**2 = 0.
-2, 0, 2
Let v(y) = -3*y + 75. Let q be v(9). Let g = q - 48. What is u in g - 3/7*u**2 - 1/7*u**3 - 2/7*u = 0?
-2, -1, 0
Let v(w) be the second derivative of -w**4/12 + 2*w**3 + 14*w**2 - 788*w. Determine f so that v(f) = 0.
-2, 14
Let n be (-3)/(-2) + 84/(-72). Let y(b) be the third derivative of 0*b - 4*b**2 - 1/6*b**4 + 0 + 0*b**5 - 1/105*b**7 + n*b**3 + 1/30*b**6. Factor y(p).
-2*(p - 1)**3*(p + 1)
Let z(i) = -i**3 + 4*i**2 + 2*i - 5. Let o be z(3). Factor -7*s**3 + 3*s**3 - 36*s - 6*s + 24*s**2 + o*s.
-4*s*(s - 4)*(s - 2)
Let r(v) be the second derivative of 0*v**2 - 1/10*v**6 - 3/4*v**4 + 5*v - 1/2*v**3 + 0 - 9/20*v**5. Solve r(d) = 0 for d.
-1, 0
Let y(a) be the first derivative of 2*a**3/3 + 16*a**2 + 30*a - 30. Factor y(d).
2*(d + 1)*(d + 15)
Let u be ((-3)/9)/(33/18 + -2). Let r(k) be the first derivative of -21/16*k**4 + 3/2*k - 3*k**3 - 9/8*k**2 + u. Factor r(n).
-3*(n + 1)**2*(7*n - 2)/4
Let n = -444 - -446. Let u(c) be the third derivative of 0*c**4 + n*c**2 + 0*c + 3/40*c**6 + 0 - 1/70*c**7 + 0*c**3 - 1/10*c**5. Factor u(v).
-3*v**2*(v - 2)*(v - 1)
Let a be 4*2/(-2) - -2 - -7. Let 2*d**4 + 6*d**2 + 10*d**3 - 2*d**a + 1705*d - 1705*d = 0. What is d?
-1, 0, 3
Let r(j) be the second derivative of j**7/70 - j**6/50 - 3*j**5/50 + j**4/10 + j**3/10 - 3*j**2/10 + 39*j. Factor r(b).
3*(b - 1)**3*(b + 1)**2/5
Solve -750 - 6*w**4 - 2/3*w**5 + 380/3*w**2 + 50*w + 4*w**3 = 0 for w.
-5, 3
Let v(b) be the second derivative of 1/4*b**5 - 5*b**2 - 5/6*b**3 + 0 - 1/6*b**6 - 22*b + 5/4*b**4. Factor v(l).
-5*(l - 2)*(l - 1)*(l + 1)**2
Suppose 2*p = 4*d + 24, -8 - 12 = -5*p + 2*d. Let -2*x**3 - 3*x**p - 4*x + 4*x**2 + 5*x**2 = 0. Calculate x.
0, 1, 2
Let b(a) be the second derivative of 5/3*a**4 + 5*a + 5/4*a**5 + 0 + 0*a**2 + 5/6*a**3 + 1/3*a**6. Factor b(t).
5*t*(t + 1)**2*(2*t + 1)
Let p be 1*(3 + (-3 - -3)). Let l be 2 - p - (2 - 7). Suppose -3*t**3 - t**5 + t**2 + 5*t**4 + 0*t**2 + 3*t**4 - 5*t**l = 0. What is t?
0, 1
Let q(b) = 5*b + 26. Let s be q(10). Let v = 78 - s. Let 2/3*m**5 + 2/9*m**v + 4/9*m + 0 - 10/9*m**3 - 2/9*m**4 = 0. What is m?
-1, -2/3, 0, 1
Factor 0*z**4 - 258*z**2 + 509*z**2 + 24*z - 3*z**3 - 261*z**2 + z**4.
z*(z - 4)*(z - 2)*(z + 3)
Let f(v) be the third derivative of v**6/540 - 4*v**5/135 - 19*v**4/108 - 10*v**3/27 + 58*v**2. Solve f(i) = 0 for i.
-1, 10
Let b(l) be the second derivative of -l**7/2520 + l**6/540 - l**5/360 + 3*l**3 - 12*l. Let j(p) be the second derivative of b(p). Factor j(h).
-h*(h - 1)**2/3
Suppose -3*h + 4*h = 5*a + 7, -13 = 2*a + 3*h. Let j be ((-21)/(-2))/(a/((-40)/25)). Factor -18/5*g**3 + 34/5*g + 6/5 + j*g**2.
-2*(g - 3)*(3*g + 1)**2/5
Let u(m) = m**3 - m**2 + m + 1. Let y = -73 + 77. Let d(p) = -10*p**3 + 12*p**2 - 11*p - 9. Let o(a) = y*d(a) + 36*u(a). Factor o(j).
-4*j*(j - 2)*(j - 1)
Let v(q) be the third derivative of q**8/504 - q**6/45 - q**5/45 + q**4/12 + 2*q**3/9 + 32*q**2. Solve v(x) = 0 for x.
-1, 1, 2
Let y be (17 - 0)/((-5)/(-625)). Let d be 3575/y - 2/(-17). Suppose d*o**2 - 9/5*o + 3/5 - 3/5*o**3 = 0. What is o?
1
Let j be (135/(-315))/((-16)/14). Let n(w) be the first derivative of 0*w**3 - 1/2*w + j*w**2 + 3 - 1/16*w**4. Factor n(o).
-(o - 1)**2*(o + 2)/4
Suppose 0 = -199*d - 17*d + 466 - 34. Find c such that 13/2*c**3 - 11/2*c**d - c + 0 = 0.
-2/13, 0, 1
Let x(g) be the third derivative of g**6/180 - 7*g**5/15 + 49*g**4/3 - 2744*g**3/9 - 97*g**2. Factor x(w).
2*(w - 14)**3/3
Let o(p) be the second derivative of -p**7/4200 + p**5/600 + p**3/3 - 23*p**2/2 - 13*p + 2. Let i(z) be the second derivative of o(z). Factor i(a).
-a*(a - 1)*(a + 1)/5
Suppose 15*y = 12*y + 9. Suppose 1 = -v + y. What is a in 2/13 + 116/13*a**v - 50/13*a**5 + 170/13*a**4 - 212/13*a**3 - 2*a = 0?
1/5, 1
Let l(d) = 4*d**2 + 9*d + 36. Let r(q) = 2*q**2 + 6*q + 18. Let h(x) = -2*l(x) + 5*r(x). Factor h(v).
2*(v + 3)**2
Let l(n) = 10*n**2 + 358*n - 392. Let a(i) = -4*i**2 - 143*i + 157. Let r(d) = -12*a(d) - 5*l(d). Find c, given that r(c) = 0.
-38, 1
Let w(b) be the first derivative of b**5/90 + b**4/6 + 8*b**3/9 + b**2/2 - 26. Let d(f) be the second derivative of w(f). Determine n, given that d(n) = 0.
-4, -2
Let n(r) = r**2 + 3*r. Let m be n(-4). Factor -2*v**m - 8*v**2 - v**5 + 3*v**3 + 0*v**3 + 12*v**2 - 4*v.
-v*(v - 1)**2*(v + 2)**2
Let v(l) be the third derivative of l**8/161280 - l**5/5 + 11*l**2. Let n(h) be the third derivative of v(h). Find r such that n(r) = 0.
0
Suppose 5*u = 2*b - 215, -9*b = 2*u - 11*b + 80. Let v be (12/(-15))/(99/u). Let 0*i - 6/11*i**3 + 0 - v*i**4 - 2/11*i**2 = 0. What is i?
-1, -1/2, 0
Let z = -40098/7 - -5736. Determine b, given that z + 2/7*b**5 + 52/7*b**3 - 54/7*b - 36/7*b**2 - 18/7*b**4 = 0.
-1, 1, 3
Factor 151 - s**2 - 69*s - 312 + 19*s**2 + 149.
3*(s - 4)*(6*s + 1)
Suppose -2*s - 6*s = 1144. Let c = -143 - s. Determine h so that c - 2/3*h - 1/3*h**2 = 0.
-2, 0
Suppose 0 = 5*i + 11 - 26. Let m(r) be the first derivative of -1/8*r**4 - i - 2/3*r**3 - 5/4*r**2 - r. Suppose m(v) = 0. Calculate v.
-2, -1
Suppose -3*n = 106 - 109. Suppose 0 = 3*d - n - 2, 3*h - 4*d = 2. Suppose 2*z - 2*z**3 + 11/6*z**h - 2/3 - 7/6*z**4 = 0. Calculate z.
-2, -1, 2/7, 1
Let l(f) be the first derivative of f**4/16 - 7*f**3/12 - 9*f**2/4 - 430. What is o in l(o) = 0?
-2, 0, 9
Let j(i) be the third derivative of i**9/120960 - i**8/20160 + i**7/10080 + i**5/60 + 17*i**2. Let q(n) be the third derivative of j(n). Factor q(h).
h*(h - 1)**2/2
What is m in -2*m + 377*m**2 - 378*m**2 + 90*m - 1936 = 0?
44
Suppose -w + 2 = -4*x, -5*x = -4*w + 3*w + 2. Let b be 20/(-30)*(-3 - x). Factor -d + d - 1 - 2*d**b - 6*d - 3.
-2*(d + 1)*(d + 2)
Let p(x) = 28*x**5 - 360*x**4 + 976*x**3 - 904*x**2 + 264*x + 8. Let u(f) = -f**5 - 3*f**4 - f**2 + f + 1. Let v(i) = p(i) - 8*u(i). Factor v(j).
4*j*(j - 4)**2*(3*j - 2)**2
Let v(c) be the first derivative of c**6/36 + 11*c**5/10 + 53*c**4/4 + 383*c**3/9 + 235*c**2/4 + 75*c/2 + 137. Factor v(s).
(s + 1)**3*(s + 15)**2/6
Let d = -1854 - -1854. What is t in -12/5*t**3 - 3/5*t**4 + d + 0*t + 12/5*t**2 + 3/5*t**5 = 0?
-2, 0, 1, 2
Let a(k) = 4*k. Suppose -4*w + 3 = -5*w - 4*i, 0 = 4*i + 4. Let q be a(w). Solve 3*v**2 + 0*v**2 - v**3 + 3*v - 3*v**q - v**3 - v**3 = 0 for v.
-1, 0, 1
Let u(h) = 8*h**2 + 12*h - 4. Let a be -18*(-4)/8 + -4