c**8/6720 - c**7/60 + c**5 + c**3/3 + 10*c**2 + 5*c. Let w(b) be the third derivative of n(b). Factor w(j).
-3*j*(j + 28)
Let v(g) be the third derivative of g**8/210 - 17*g**7/525 + 17*g**5/150 - g**4/15 + 2*g**2 + 139. Find r, given that v(r) = 0.
-1, 0, 1/4, 1, 4
Let z = 68973/40 - 8621/5. Factor -15/8*n - z*n**2 + 0.
-n*(n + 15)/8
Let -17457*y**2 + 24*y - 2*y**4 - 6*y**3 + 17473*y**2 - 19 - 13 = 0. What is y?
-4, -2, 1, 2
Suppose -y - 2*p + 0 = -9, 2*y + p - 6 = 0. Suppose -56*r**4 - 9 - 5*r**5 - 5*r - y + 20*r**4 + 26*r**4 + 10*r**3 + 20*r**2 = 0. Calculate r.
-2, -1, 1
Suppose 17 = -2*q - 123*v + 126*v, 0 = -5*q - 5*v + 45. Factor 4 + 1/3*a**3 + 4/3*a - 7/3*a**q.
(a - 6)*(a - 2)*(a + 1)/3
Let a(v) = -6*v - 22. Suppose 7*g + 8 = 5*g. Let x be a(g). Factor -5*k**x - 22*k**2 - 4 - 36*k - 5*k**2.
-4*(k + 1)*(8*k + 1)
Suppose 4*n = -5*a + 2048, -a + 3*n + 379 = -23. Let x be a/(-144) - (-7)/2. Factor 0 - 1/6*w**2 + x*w.
-w*(w - 4)/6
Factor -40/3*x - 1/3*x**2 + 28.
-(x - 2)*(x + 42)/3
Let m = -1/92986 - -185975/278958. Let 4/9*x**2 + 2/9*x**4 - m*x**3 + 0 + 0*x = 0. What is x?
0, 1, 2
Let w be (-11)/(-44) - ((-10)/(-6) + (-50)/30)/(-1). Factor -5/4*z + 1 + w*z**2.
(z - 4)*(z - 1)/4
Let j(o) = -18*o - 70. Let w be j(-4). Factor -10*l**3 + 16*l - 10*l**w + 15*l**4 - 69*l**5 - 5 + 64*l**5 - l.
-5*(l - 1)**4*(l + 1)
Let p(c) be the third derivative of 279*c**2 + 3/4*c**4 + 17/6*c**3 + 1/60*c**5 + 0 + 0*c. Find d such that p(d) = 0.
-17, -1
Let n = -23 - -29. Suppose 0*k - n = -3*k. Factor -k*p - 7*p - 5 + 15*p**2 - p.
5*(p - 1)*(3*p + 1)
Solve 1387341*t**4 - 3*t**3 + 4*t - 1387336*t**4 - 5*t**2 - 3*t**5 + 2*t**5 = 0.
-1, 0, 1, 4
Factor -522/11*d - 1620/11 - 2/11*d**3 - 56/11*d**2.
-2*(d + 9)**2*(d + 10)/11
Let g be 8/(-2) - 2/((-4)/14). Let l be (g/1)/(2/(-4) + 2). Determine d, given that l - 8*d**3 - 4*d**3 - 2 + 9*d**4 + 3*d**2 = 0.
0, 1/3, 1
Let d(y) be the second derivative of -y**5/130 - 4*y**4/39 + 95*y**3/39 - 150*y**2/13 + 2*y + 441. Factor d(k).
-2*(k - 5)*(k - 2)*(k + 15)/13
Determine s so that -s + 10 - 78*s**2 - s - 6 + 76*s**2 = 0.
-2, 1
Solve -972 - 116*r**3 + 348*r - 3*r**4 + 96*r + 53*r**2 + 52*r**2 + 168*r + 38*r**3 = 0 for r.
-27, -3, 2
Let w be ((-6)/18)/(3/(-18)). Let u be ((-332)/(-2490))/((2/2)/1). Factor 0 - 2/15*y**3 - u*y**w + 0*y.
-2*y**2*(y + 1)/15
Let r(n) = -n**3 - 3*n**2 - n + 4. Suppose 16*u - 8*u + 16 = 0. Let b be r(u). Suppose -b*l + 2*l**4 + 8*l**3 - 6*l + 43 + 2*l**2 + 4*l**2 - 51 = 0. What is l?
-2, -1, 1
Let o = -485307 + 3397167/7. Solve -4/7*h + 4/7*h**3 + 2/7*h**4 + 16/7 - o*h**2 = 0 for h.
-4, -1, 1, 2
Let a = 108666 - 1412656/13. Factor -a*x**2 - 116/13*x - 1682/13.
-2*(x + 29)**2/13
Factor 0*g - 36/7*g**2 - 6/7*g**3 + 2/7*g**4 + 0.
2*g**2*(g - 6)*(g + 3)/7
Let w = 68/103 - -2/309. Let r(q) be the third derivative of w*q**3 + 9*q**2 + 1/15*q**5 + 0 + 1/3*q**4 + 0*q. Find l such that r(l) = 0.
-1
Let b(y) be the third derivative of -y**8/840 + 82*y**7/1575 - y**6/36 - 3*y**5/25 - 8*y**2 - 34. Let b(w) = 0. Calculate w.
-2/3, 0, 1, 27
Find m, given that 45*m + 0*m**2 - 3*m**2 + 175 + 986*m**3 - 987*m**3 = 0.
-5, 7
Let z(i) = -4226*i - 207072. Let x be z(-49). Find m, given that -20/3*m**4 + 0*m + 0 + 1/2*m**3 + 0*m**x = 0.
0, 3/40
Let g(j) = -j**2 - 14*j - 38. Let z be g(-4). Suppose 5*t - z*c = -8, -2*t - c + 14 = 10. Factor t + 2/3*b**2 - 2/3*b**3 + 0*b.
-2*b**2*(b - 1)/3
Let s = 35652 - 35650. What is t in 4/3 + 2/15*t**s + 22/15*t = 0?
-10, -1
Suppose -6*r + 14 = -10. Solve -r*m**3 - 17 + m**3 - 3*m + 10*m**2 + 17 = 0 for m.
0, 1/3, 3
Let l be (-572)/(-154) - (-755)/(-1057). Factor 4/5*s**2 + 1/5*s**l - 1/5*s**4 + 0 - 4/5*s.
-s*(s - 2)*(s - 1)*(s + 2)/5
Factor -325008*r - 5708*r**2 + 24834*r**2 + 873*r**3 - 2*r**4 + 42158*r**2 + 5*r**4 + 255744 + 7104.
3*(r - 4)*(r - 1)*(r + 148)**2
Let u(x) be the first derivative of 3*x**4/16 + x**3/6 - 5*x**2/8 - x - 167. Determine a so that u(a) = 0.
-1, 4/3
Factor -22 - b + 854*b**2 - 4*b**3 + 18 - 850*b**2 + 5*b**3.
(b - 1)*(b + 1)*(b + 4)
Let b(c) be the third derivative of c**7/315 - c**6/270 - 8*c**5/135 - 7*c**4/54 - c**3/9 + 596*c**2. Solve b(p) = 0.
-1, -1/3, 3
Let q(g) = -8*g**2 - 253*g - 151. Let w be q(-31). Factor 0 + 6/5*n**2 + 0*n - 1/5*n**w + 1/5*n**3.
-n**2*(n - 3)*(n + 2)/5
Let a(l) = -8*l**3 - 32*l**2 + 20*l + 116. Let s(o) = o**3 + o**2 - o - 7. Let j(i) = -a(i) - 12*s(i). Let j(f) = 0. Calculate f.
-1, 2, 4
Suppose -28 = -t + 5*j, -9*t + 5*t = -28*j - 152. Solve 12 - 3/2*a**5 - 9*a**4 - t*a**2 - 33/2*a**3 + 18*a = 0.
-2, -1, 1
Let p(m) = -m**2 + 2*m. Let n be p(2). Suppose 4 = 4*t + 2*g - n*g, -2*t - 3*g + 6 = 0. Factor t*z**2 + 2/3*z**3 - 4/3 - 2*z.
2*(z - 2)*(z + 1)**2/3
Let w(r) be the third derivative of r**6/200 - r**5/20 + r**4/10 - 3*r**2 - 459*r. Factor w(o).
3*o*(o - 4)*(o - 1)/5
Let d(u) be the third derivative of u**5/15 + 6*u**4 - 74*u**3/3 + 897*u**2 - 2*u. Solve d(c) = 0 for c.
-37, 1
Let p(d) = d**2 - 47*d + 482. Let f be p(32). Let z = -71/35 + 17/7. Factor 1/5*i**3 - 3/5*i + 0 - z*i**f.
i*(i - 3)*(i + 1)/5
Suppose -4*b + 55 = 39. Factor -18*s**2 - 2187 + 19*s**2 - b*s**2 + 162*s.
-3*(s - 27)**2
Find u, given that -1068687*u + 1068397*u - 2*u**3 - 44*u**2 + 13 - 613 = 0.
-12, -5
Let t = -418 - -878. Find o such that 41*o**3 + 54*o**3 + t*o**2 + 400*o - 2153 + 1193 + 5*o**4 + 0*o**4 = 0.
-12, -4, 1
Let b = 13687 + -6186527/452. Let z = b + 467/2260. Factor z*w**2 - 4/5*w - 1.
(w - 5)*(w + 1)/5
Let h be ((-708)/(-531))/(6/9). Determine p so that 8/9 - 2/9*p + 2/9*p**3 - 8/9*p**h = 0.
-1, 1, 4
Factor 2014 + 8*a - 2014 - 224*a**2 + 4*a.
-4*a*(56*a - 3)
Let p(k) be the first derivative of 0*k**2 - 10/21*k**3 + 0*k - 247 - 1/28*k**4. Factor p(s).
-s**2*(s + 10)/7
Suppose -49 = 3*a - 319. Find p such that -a*p**3 + 100*p**2 + 4 - 11546*p**5 - 4 + 11541*p**5 - 40*p + 35*p**4 = 0.
0, 1, 2
Let n(i) be the second derivative of i**4/72 + 397*i**3/18 + 793*i**2/12 - 3*i + 183. What is q in n(q) = 0?
-793, -1
Suppose -60*u + 289 + 43 - 92 = 0. Let s(q) be the first derivative of 1/7*q**2 + 0*q**u + 14 + 0*q - 1/35*q**5 + 1/7*q**3. Find w such that s(w) = 0.
-1, 0, 2
Suppose -k - 4*h = 2*k - 96, 69 = 2*k + h. Suppose -124 = -5*p - 5*u + 2*u, p - 5*u = k. Solve -35*q**2 - 10 + q**2 - 45*q**3 - p*q**2 + 55*q = 0.
-2, 1/3
Let d = 148 + -148. Factor 6*x + d*x**3 + 66 + 2*x**4 - 4*x**2 - 135 + 4*x**4 - 4*x**3 + 67 - 2*x**5.
-2*(x - 1)**4*(x + 1)
Let m(p) = 2*p**2 + 15*p + 7. Let w = 35 + -32. Let a(r) = -6*r**2 - 44*r - 22. Let x(y) = w*a(y) + 8*m(y). Suppose x(h) = 0. What is h?
-5, -1
Let q(b) be the first derivative of -b**5/20 + 9*b**4/8 + 5*b**3 + 65*b**2/2 - 200. Let u(c) be the second derivative of q(c). Factor u(g).
-3*(g - 10)*(g + 1)
Factor -444/5*q**4 + 0*q - 879/5*q**3 + 18/5*q**2 + 0.
-3*q**2*(q + 2)*(148*q - 3)/5
Let r(q) be the second derivative of 49*q**6/255 - 28*q**5/17 + 62*q**4/17 - 48*q**3/17 + 1850*q. Determine w, given that r(w) = 0.
0, 6/7, 4
Let c be 18/20 + -1 + 7/((-560)/(-48)). Let i(f) be the second derivative of 1/12*f**3 - 1/24*f**4 + c*f**2 - 2*f + 0. Factor i(a).
-(a - 2)*(a + 1)/2
Let f(v) be the first derivative of 0*v - 14/15*v**5 - 1/3*v**6 + 0*v**4 + 8/9*v**3 + 0*v**2 + 58. Determine c so that f(c) = 0.
-2, -1, 0, 2/3
Let r(u) be the third derivative of -u**5/180 + 11*u**4/72 - 5*u**3/3 + 597*u**2. Factor r(v).
-(v - 6)*(v - 5)/3
Let v = -220691 + 1103459/5. Suppose -84/5*o**3 - v*o**2 + 36*o**4 + 4/5*o + 0 = 0. What is o?
-1/5, 0, 1/3
Let s(b) be the second derivative of 0 - 1/112*b**7 - 9/40*b**5 + 5/16*b**4 + 3/40*b**6 + 0*b**2 - 3/16*b**3 - 46*b. Find w such that s(w) = 0.
0, 1, 3
Factor -2180*u**3 - 7072*u - 316*u**3 + 2450*u**2 - 2*u**5 + 2312 + 5548*u**2 - 230*u**3 - 652*u**2 + 142*u**4.
-2*(u - 34)**2*(u - 1)**3
Let a(y) = 15*y**4 + 12*y**3 - 411*y**2 - 1686*y - 1737. Let g(v) = 7*v**4 + 7*v**3 - 204*v**2 - 844*v - 868. Let f(d) = -4*a(d) + 9*g(d). Factor f(t).
3*(t - 8)*(t + 2)**2*(t + 9)
Let d(w) be the second derivative of 0*w**2 - 1/14*w**7 - 9/5*w**5 + 17*w - 3/2*w**3 + 5/2*w**4 + 3/5*w**6 + 3. Suppose d(t) = 0. What is t?
0, 1, 3
Let x(r) be the third derivative of 0*r + 0*r**3 - 64*r**2 - 1/25*r**5 - 1/420*r**8 + 2/175*r**7 + 1/15*r**4 + 0 - 1/150*r**6. Suppose x(g) = 0. Calculate g.
-1, 0, 1,