. Solve -2*d**5 + 8*d**2 + 19*d**3 - y*d**3 + 14*d**3 - 2*d**4 = 0 for d.
-2, -1, 0, 2
Let u(v) be the first derivative of v**4/84 - 5*v**3/42 - 37*v + 10. Let n(s) be the first derivative of u(s). Factor n(f).
f*(f - 5)/7
Factor 20/11*o + 0 - 2/11*o**4 + 16/11*o**3 + 38/11*o**2.
-2*o*(o - 10)*(o + 1)**2/11
Let v(c) = -4*c**3 + 46*c**2 + 100*c + 46. Let p(w) = -w**3 + w - 2. Let a be (-12)/114 + (-80)/(-38). Let d(q) = a*v(q) - 4*p(q). Find i, given that d(i) = 0.
-1, 25
Factor 189/4*n**2 - 805/4*n - 225/2 - 1/2*n**3.
-(n - 90)*(n - 5)*(2*n + 1)/4
Let x(d) = -d**3 - 228*d**2 - 6106*d + 31. Let f be x(-31). Factor 3/2*k**3 - 27*k**2 + f + 0*k.
3*k**2*(k - 18)/2
Let d(g) be the first derivative of -2*g**3/33 - 57*g**2 - 6076. Suppose d(p) = 0. What is p?
-627, 0
Let t(x) = 4*x**2 + 156*x + 656. Let w(h) = -h**2 - 6*h - 1. Let q(o) = 2*t(o) + 12*w(o). Factor q(g).
-4*(g - 65)*(g + 5)
Let f(p) = -12*p**3 - 417*p**2 + 408*p + 759. Let q(r) = 9*r**3 + 314*r**2 - 306*r - 569. Let s(y) = 7*f(y) + 9*q(y). Determine w so that s(w) = 0.
-32, -1, 2
Let x(w) be the first derivative of -2 + 15/4*w**4 + 18*w - 40/3*w**3 - 10*w**2. Let a(q) be the first derivative of x(q). Solve a(k) = 0.
-2/9, 2
Determine w, given that 414 - 9*w**4 + 528*w + 48*w**3 + 603*w**2 + 373 - 139 + 822*w = 0.
-3, -2/3, 12
Let b(x) be the second derivative of x**4/96 + 811*x**3/24 - 1623*x**2/16 - 486*x + 1. Factor b(g).
(g - 1)*(g + 1623)/8
Let f be (-47083)/(-56882) - (-7)/238. What is y in -f*y - 12/7*y**4 + 15/7*y**3 + 0 + 3*y**2 = 0?
-1, 0, 1/4, 2
Suppose 26*z + 12 = 22*z. Let o be (-3)/(-14) + z/(-42). Factor o*a**3 - 2/7*a + 2/7 - 2/7*a**2.
2*(a - 1)**2*(a + 1)/7
Let j(h) = -h**2 + 1. Let k(u) be the first derivative of -3*u**5/5 + u**4/4 + 2*u + 167. Let d(m) = 10*j(m) - 5*k(m). Factor d(l).
5*l**2*(l - 1)*(3*l + 2)
Let r be (-3)/(((-4)/22)/((-10)/(-15))). Suppose -3*x = 3*l + 9, 2*l - 4*l - r = 3*x. Determine w, given that -1/5 + 1/5*w**l + 0*w = 0.
-1, 1
Factor -228*o**2 - 23*o**3 + 240*o - 4*o**3 + 472*o**2 - 3*o**4 - 430*o**2 - 24*o**3.
-3*o*(o - 1)*(o + 8)*(o + 10)
Solve -21021*m**3 + 6261*m**3 - 940*m**4 - 153*m**4 - 9680*m - 29920*m**2 - 25*m**5 - 67*m**4 = 0.
-22, -2, -2/5, 0
Suppose 0 = -14*y + 283 + 1607. Determine h so that 88 + 184*h**3 - y*h**2 - 220*h**3 - 820*h + 112 - 217*h**2 = 0.
-5, 2/9
Suppose 9*d + 19 = 37. Factor 97*p + 9*p - p - 2*p**2 - 3*p**d.
-5*p*(p - 21)
Let v be ((-889)/(-254))/(21/12). Let s(n) be the second derivative of 1/72*n**4 + 25/3*n**v + 5/9*n**3 + 0 + 8*n. Solve s(k) = 0 for k.
-10
What is h in -82/9*h**3 - 1438/9*h - 4 + 1556/9*h**2 = 0?
-1/41, 1, 18
Let c = -71 - -70. Let y be c - 4*(2 + -3). What is i in 12*i**y - 3*i**4 + 6*i - 8*i**3 + 9*i**2 - 4*i**3 = 0?
-1, 0, 2
Suppose 6/5*v**3 + 36/5*v**2 + 0 - 16*v - 2/5*v**4 = 0. Calculate v.
-4, 0, 2, 5
Let u(x) be the second derivative of -31*x**7/63 + 11*x**6/15 + 91*x**5/30 - 161*x**4/18 + 8*x**3 - 4*x**2/3 + 179*x + 3. Find h, given that u(h) = 0.
-2, 2/31, 1
Let x be -9*195/21 + (-5)/(-35). Let q = -83 - x. Let 0 - 3/7*n**3 - q*n**2 + 6/7*n = 0. Calculate n.
-2, 0, 1
Let u be 31/(-2)*(-300)/120. Let m = 253/4 - u. Solve -m + 7*o - 1/2*o**2 = 0.
7
Let l(x) be the second derivative of x**6/120 - 5*x**5/8 - 13*x**4/4 + 43*x**3/6 - x**2/2 + 2*x - 81. Let y(i) be the second derivative of l(i). Factor y(h).
3*(h - 26)*(h + 1)
Factor -16/5*p - 4/5*p**2 + 4.
-4*(p - 1)*(p + 5)/5
Let k(i) be the second derivative of i**4/6 - 14*i**3/3 - 32*i**2 + 1110*i. Factor k(c).
2*(c - 16)*(c + 2)
Let j(o) = 4*o**2 + 118*o + 62. Let f be j(-29). Factor 3*h**2 - f*h**2 + 111 - 63 + 5*h**2 + 19*h - 3*h**2.
(h + 3)*(h + 16)
Let g = 12 + 3. Let w be 4/2*4/(40/g). Factor -8*x**w - 6*x**4 - 31 + 31 + 2*x**5.
2*x**3*(x - 4)*(x + 1)
Let j(c) be the third derivative of -c**6/120 - 17*c**5/360 - c**4/9 - c**3/3 - 99*c**2. Let k(w) be the first derivative of j(w). Factor k(x).
-(x + 1)*(9*x + 8)/3
Let o(p) = p**2 + 4*p - 7. Let t be o(-6). Suppose -3*v - 9 = 6*i - t*i, -3*i + 43 = -5*v. Solve -9*q - i - 3/4*q**3 - 9/2*q**2 = 0.
-2
Factor -2/9*f**3 - 28/3 + 122/9*f - 4*f**2.
-2*(f - 2)*(f - 1)*(f + 21)/9
Let s = 244096/555 + -27/185. Let y = s + -439. Suppose -4/3 - 2/3*j + y*j**2 = 0. Calculate j.
-1, 2
Let l(v) be the third derivative of 1/240*v**5 + 0*v + 22 + 3*v**2 + 7/12*v**4 + 98/3*v**3. Factor l(b).
(b + 28)**2/4
Let v be 936/260*((-250)/(-105))/5. Factor v*i**2 - 40/7*i - 32/7.
4*(i - 4)*(3*i + 2)/7
Let k(f) be the second derivative of f**9/4536 - f**8/1260 + f**7/1260 + 2*f**3/3 - 3*f**2/2 + 2*f + 25. Let u(d) be the second derivative of k(d). Factor u(x).
2*x**3*(x - 1)**2/3
Suppose 22 = -21*w + 64. Let h be -1 - (-3 - 2 - -2). Let 0*t - t + w*t**h + 15*t + 12 = 0. Calculate t.
-6, -1
Let t be 122166/74040 - 2/8. Solve -16/5*r + 12/5 - 1/5*r**3 + t*r**2 = 0.
2, 3
Suppose -103*g + 5*a - 2 = -102*g, -2*g - a = 4. Let k be 2 - (-3)/(-21)*g. Factor -1/7*n**2 - k - 8/7*n.
-(n + 4)**2/7
Let w(v) = v**2 - 299*v + 14342. Let p be w(239). Solve -1/2*b**p + 5/2*b + 3 = 0 for b.
-1, 6
Let r(q) be the second derivative of 0 + 50*q**2 + 15/2*q**3 + 5/12*q**4 + 13*q. Factor r(n).
5*(n + 4)*(n + 5)
Suppose 0 = -947*j + 952*j - 2*s - 58, -j + 3*s = -48. Determine u, given that 2/5*u**3 + 30*u + 50 + j*u**2 = 0.
-5
Let o(a) be the third derivative of a**6/72 + 227*a**5/36 + 2255*a**4/72 + 125*a**3/2 - 3*a**2 - 123. Let o(k) = 0. What is k?
-225, -1
Let u(d) = -14*d - 40. Let v be u(-3). Find a such that -3 - 14*a + a**3 - 9 + a**3 + 4*a + 4*a**v = 0.
-3, -1, 2
Let n(r) be the third derivative of -r**8/784 + 73*r**7/490 - 213*r**6/280 + 211*r**5/140 - 5*r**4/4 + 844*r**2 - 2. Let n(b) = 0. What is b?
0, 1, 70
Suppose 1 = 5*g + 71*o - 72*o, 0 = 3*o + 3. Let j(c) be the second derivative of -1/21*c**4 + 3*c + g + 1/21*c**3 + 1/70*c**5 + 0*c**2. Factor j(b).
2*b*(b - 1)**2/7
Let c(p) be the first derivative of -10*p**3/3 - 35*p**2 - 115*p + 36. Let y(f) = -5*f**2 - 35*f - 57. Let w(q) = -3*c(q) + 5*y(q). Factor w(x).
5*(x + 3)*(x + 4)
Factor -1/6*c**2 + 281*c - 236883/2.
-(c - 843)**2/6
Let w(l) be the first derivative of -5/8*l**4 + 1/20*l**5 - 6*l**2 + 11 + 0*l + 3*l**3. Let u(t) be the second derivative of w(t). Factor u(x).
3*(x - 3)*(x - 2)
Let p(v) = -4*v**2 - 563*v - 3360. Let i(f) = -3*f**2 - 402*f - 2400. Let n(s) = -17*i(s) + 12*p(s). Suppose n(a) = 0. What is a?
-16, -10
Suppose 5*t - 8*t = -4*c + 10, -2*c + 10 = t. Find k such that 4*k**4 + 290*k**3 - 3920 - c*k**4 - 4485*k**2 + 8120*k - 5*k**4 = 0.
1, 28
Let x(g) be the second derivative of g**5/10 - 49*g**4/6 + 2*g + 4. Find i, given that x(i) = 0.
0, 49
Let d(l) be the second derivative of -l**4/78 - 109*l**3/39 + 110*l**2/13 + 556*l + 2. Factor d(b).
-2*(b - 1)*(b + 110)/13
Factor 0 + 704/5*i + 68*i**3 + 4/5*i**4 - 1048/5*i**2.
4*i*(i - 2)*(i - 1)*(i + 88)/5
Suppose 8/11*z - z**2 + 12/11 - 1/11*z**4 - 8/11*z**3 = 0. What is z?
-6, -2, -1, 1
Let w(z) be the second derivative of -45*z + 4/19*z**2 + 4/57*z**3 + 1/114*z**4 + 0. Factor w(v).
2*(v + 2)**2/19
Let l(s) = s**4 + 97*s**3 + 947*s**2 + 1669*s - 2700. Let c(n) = n**4 + 193*n**3 + 1901*n**2 + 3340*n - 5400. Let q(p) = -2*c(p) + 5*l(p). Solve q(d) = 0.
-15, -4, 1
Let h(t) be the first derivative of 8/7*t - 16/35*t**5 + 8/21*t**3 - 10/7*t**2 - 40 + 2/21*t**6 + 4/7*t**4. Factor h(x).
4*(x - 2)*(x - 1)**3*(x + 1)/7
Let -2/5*l**2 + 314/5 - 312/5*l = 0. Calculate l.
-157, 1
Let i(b) = 2*b**3 + 90*b**2 + 748*b. Let l be i(-34). Let z(g) be the second derivative of 1/30*g**4 - 8*g + l*g**2 - 4/15*g**3 + 0. Factor z(k).
2*k*(k - 4)/5
Let n = -474 - -474. Suppose -4*r + 5*r + 5*x + 7 = n, 2*x = r - 14. Suppose r*f**3 + 49/4*f**5 + f**2 + 0*f + 0 + 77/4*f**4 = 0. What is f?
-1, -2/7, 0
Let h(s) be the second derivative of -1 + 161*s - 1/25*s**5 + 1/3*s**4 + 0*s**3 + 0*s**2. Factor h(q).
-4*q**2*(q - 5)/5
Let f be 80/36 - (-2)/9*-1. Find n such that 16 + 20*n**f - 49*n + 29*n**3 + 17*n - 33*n**3 = 0.
1, 2
Factor -2*p + 0 - 1/2*p**2.
-p*(p + 4)/2
Let c(a) be the second derivative of -1/8*a**5 + 1/3*a**3 + 1/20*a**6 - 1/8*a**4 + 1/84*a**7 + 0*a**2 - 127 - a. Determine s, given that c(s) = 0.
-4, -1, 0, 1
Let v(k) = -18*k**5 + 12*k**4 + 393*k**3 + 621*k**2 + 111*k - 120. Let f(i) = -i**5 - i**3 + i**2. Let g(c) = 9*f(c)