tor v(x).
-x*(x - 7)*(x - 1)
Let r(x) be the third derivative of 49*x**7/15 + 147*x**6/5 + 567*x**5/5 + 243*x**4 + 2187*x**3/7 + 828*x**2 + 2*x. Factor r(k).
2*(7*k + 9)**4/7
Let w(q) = -9*q + 74. Let l be w(8). Let r = 746 - 744. Determine d so that -l*d**4 + 2/7 + 12/7*d**r - 4/7*d**3 - 6/7*d**5 + 10/7*d = 0.
-1, -1/3, 1
Let p(m) = -64*m**2 - 12*m**3 + 4*m**2 + 20*m + 17*m**3 + 75. Let b(z) = -8*z**3 + 89*z**2 - 30*z - 113. Let t(r) = 5*b(r) + 7*p(r). Factor t(g).
-5*(g - 4)*(g - 2)*(g + 1)
Factor -2/3*o**2 - 28/3*o + 16 + 2/3*o**3.
2*(o - 3)*(o - 2)*(o + 4)/3
Let w = 253/655 + 9/655. Let k = 8 + -5. Let w*o**k + 0*o + 0 - 4/5*o**2 = 0. Calculate o.
0, 2
Let a(l) be the first derivative of 25/4*l**4 - 8*l**5 + 0*l - 41 + 5*l**3 + 0*l**2. Factor a(x).
-5*x**2*(x - 1)*(8*x + 3)
Let v = 9349/2770 + -97/554. Factor 256/5*r - 1/5*r**4 - 256/5 + v*r**3 - 96/5*r**2.
-(r - 4)**4/5
Suppose 0 = 74*n - 89*n - 30. Let t be (n/(-4) + -1)/((-15)/90). What is f in 1/5*f**5 + 46/5*f**t - 18*f**2 - 27/5 - 11/5*f**4 + 81/5*f = 0?
1, 3
Let l(g) be the second derivative of -7*g**4/12 + 8*g**3/3 + 15*g**2/2 - 7*g + 22. Let p(o) = 8*o**2 - 19*o - 15. Let u(a) = -3*l(a) - 2*p(a). Factor u(y).
5*(y - 3)*(y + 1)
Determine n, given that -5681*n**2 + 6134*n**3 + 11271*n**3 + 1221*n**2 - 112 - 17665*n**2 + 5040*n - 208 = 0.
8/59, 1
Let a(s) = -5*s**3 + 102*s**2 - 64*s - 30. Let j(n) = -9*n**3 + 204*n**2 - 126*n - 62. Let p(d) = 7*a(d) - 3*j(d). Factor p(y).
-2*(y - 12)*(y - 1)*(4*y + 1)
Find o, given that -489*o - 243/2*o**3 - 1947/4*o**2 - 3 = 0.
-2, -1/162
Let q(b) = -5*b**4 + 15*b**3 - 82*b**2 + 63*b - 3. Let i(k) = 12*k**4 - 29*k**3 + 163*k**2 - 125*k + 7. Let p(m) = 3*i(m) + 7*q(m). Let p(g) = 0. What is g?
-22, 0, 1, 3
Factor -11 + 91 + 713048*b**2 - 21*b - 713047*b**2.
(b - 16)*(b - 5)
Let w(g) be the third derivative of -g**7/35 + g**6/40 + 3*g**5/5 + 9*g**4/8 + 1379*g**2. Factor w(s).
-3*s*(s - 3)*(s + 1)*(2*s + 3)
Let c(m) = -m**3 - 4*m**2 + 2*m - 3. Let l be c(-5). Let w be l + (0 - -5 - 12). Factor -4/7*b**2 + 6/7*b**4 - 6/7*b - 2/7 + 4/7*b**3 + 2/7*b**w.
2*(b - 1)*(b + 1)**4/7
Let w be (-2)/14 - 154/(-49). Suppose 199*x - 4*x**4 - 34*x**2 - 171*x - 26*x**2 + 36*x**w = 0. What is x?
0, 1, 7
Let r(t) be the second derivative of 841*t**7/63 + 754*t**6/9 + 292*t**5/3 - 2840*t**4/9 - 4400*t**3/9 + 3872*t**2/3 - 107*t - 1. Factor r(l).
2*(l + 2)**3*(29*l - 22)**2/3
Factor -375*n**4 + 0 + 0*n - 31250000*n**2 - 187500*n**3 - 1/4*n**5.
-n**2*(n + 500)**3/4
Let t = -770/31 - -6931/465. Let o = t + 154/15. Factor 1/3*x**2 - 2/3 - o*x.
(x - 2)*(x + 1)/3
Find b, given that -63/8 + 129/8*b - 69/8*b**2 + 3/8*b**3 = 0.
1, 21
Let d(l) be the third derivative of -44*l**2 - 1/1680*l**7 - 1/192*l**4 + 1/160*l**5 + 0*l + 0 + 1/960*l**6 - 1/24*l**3. Factor d(r).
-(r - 2)*(r - 1)*(r + 1)**2/8
Let d(c) be the third derivative of 1/15*c**5 + 1/420*c**7 - 1/40*c**6 - 3/4*c**3 + 1/8*c**4 + 0 + c**2 - 80*c. Let d(y) = 0. What is y?
-1, 1, 3
Let h(c) be the third derivative of 1/30*c**6 + 3/5*c**5 + 108*c**2 - 5/3*c**4 + 0 + 0*c**3 - 2*c. Factor h(p).
4*p*(p - 1)*(p + 10)
Let b be (-9)/(-4) + (-7)/28 - -2. Let 17 + 24*s**2 + 34*s**3 - 6*s**b - 8*s - 8*s**5 - 13 - 4 = 0. What is s?
-2, -1, 0, 1/4, 2
Let q(h) be the third derivative of -h**8/80 + 78*h**7/175 - 779*h**6/200 + 623*h**5/50 - 93*h**4/5 + 64*h**3/5 + 1472*h**2. What is p in q(p) = 0?
2/7, 1, 4, 16
Let q(i) be the third derivative of i**8/336 - 8*i**7/105 - 19*i**6/120 + 17*i**5/30 - 5051*i**2. What is j in q(j) = 0?
-2, 0, 1, 17
Suppose -44/3*p**3 + 43/3*p - 14*p**4 + 1/3*p**5 + 0 + 14*p**2 = 0. Calculate p.
-1, 0, 1, 43
Let g(y) be the first derivative of 60349 - 10*y**3 + 294*y**3 + 30246*y**2 + 536152*y + y**4 + 895492*y - 60159. Solve g(m) = 0.
-71
Let j(n) be the third derivative of 3*n**6/320 - 37*n**5/240 - 65*n**4/192 + 3*n**3/8 + 883*n**2. Factor j(v).
(v - 9)*(v + 1)*(9*v - 2)/8
Let k(o) be the second derivative of 108/5*o**3 - 243/10*o**2 + 21*o - 27/10*o**4 - 18/5*o**5 - 2 - 1/2*o**6. Determine m, given that k(m) = 0.
-3, 3/5
Let k(z) be the second derivative of 10*z**4 - 4*z**3/3 + z**2/15 + 33*z + 1. Factor k(a).
2*(30*a - 1)**2/15
Let u(m) be the second derivative of -m**4/48 - 4271*m**3/12 - 18241441*m**2/8 - 11307*m. Suppose u(t) = 0. Calculate t.
-4271
Let f(n) be the second derivative of 0*n**3 + 0 + 7/5*n**5 - 10/3*n**4 - 2/15*n**6 + 0*n**2 - 104*n. Suppose f(w) = 0. What is w?
0, 2, 5
Let b(w) be the first derivative of -19*w**4/4 - 419*w**3/3 - 1105*w**2/2 - 57*w - 13476. Factor b(n).
-(n + 3)*(n + 19)*(19*n + 1)
Suppose 439*m - 1440 - 1182 = -435*m. Determine j so that 16/13 + 424/13*j - 1458/13*j**m + 2700/13*j**2 = 0.
-2/27, 2
Let t(n) = 26*n**2 + 6*n - 7. Let a be t(1). Factor 15 + 15*w + 7*w**3 - 2*w**3 + a*w**2 + 20*w.
5*(w + 1)**2*(w + 3)
Let f = -64374 + 193124/3. Find u such that -f*u**4 + 0 + 0*u - 2*u**3 - 4/3*u**2 = 0.
-2, -1, 0
Suppose 0 = -b - 5*a + 12, -5*b - 3*a - 4 = 2. Let j(w) = 3*w**2 + 6*w. Let z be j(b). Solve -z*g**2 - 3*g + 0*g + 5*g = 0 for g.
0, 2/9
Let s = -571 - -195. Let r = 376 + s. Factor 0*w + 2/7*w**4 + r*w**3 + 0*w**2 + 0.
2*w**4/7
Let h(w) = -w**3 - 5*w**2 - 4*w + 3. Let y be h(-4). Let 28*b**3 - 1086*b**2 - 737 + 512*b - 224 + 36*b**y - b**4 + 1472*b = 0. What is b?
1, 31
Suppose -2*s = -6*y + 3*y - 10, 4 = -3*s - 5*y. Factor 6*g + 3 + 6*g + s*g**2 + 0*g**2 + 15.
2*(g + 3)**2
Suppose z + 6 + 5 = 0. Let x = z + 14. Factor 3 + 3*w**4 + 3*w**x + 18*w**2 + 9*w**3 + 4*w + 0*w + 8*w.
3*(w + 1)**4
Let k(x) be the second derivative of -x**8/10920 - x**7/1820 + x**6/585 - x**3/3 + 9*x**2/2 - 174*x. Let w(h) be the second derivative of k(h). Factor w(a).
-2*a**2*(a - 1)*(a + 4)/13
Determine n so that 55*n**2 - 108 - 4*n - 72*n**2 + 19*n**2 - 2*n = 0.
-6, 9
Let i(z) be the first derivative of 1/12*z**3 + 3/4*z**2 + 0*z + 55. Let i(o) = 0. Calculate o.
-6, 0
Let b = -165241 - -165247. Let 44/7*m**2 + 0*m + 0 - 2/7*m**4 + b*m**3 = 0. Calculate m.
-1, 0, 22
Let v(m) be the first derivative of 7 - 2/15*m**3 + 1/30*m**4 - 3/5*m**2 - 8*m. Let w(h) be the first derivative of v(h). Factor w(b).
2*(b - 3)*(b + 1)/5
Let a(b) be the second derivative of 182*b - 19/18*b**4 - 1/30*b**5 - 17/3*b**2 - 35/9*b**3 + 0. Suppose a(t) = 0. Calculate t.
-17, -1
What is b in 3156/11*b + 646*b**2 + 32/11*b**4 + 378/11 + 2128/11*b**3 = 0?
-63, -3, -1/4
Let q be (54/(-36))/(-7 - -2*7/56). Solve -2/9*z + 40/9 - q*z**2 = 0 for z.
-5, 4
Factor i**4 - 656 - 439*i**2 - 1077*i + 12*i + 4*i**4 - 396*i**2 - 195*i**3 + 226.
5*(i - 43)*(i + 1)**2*(i + 2)
Let l(a) = -6*a + 68. Let n be l(11). Factor -80*y**n + 2*y + 2 - 2 + 10*y.
-4*y*(20*y - 3)
Let i(g) be the first derivative of -g**6/18 + 7*g**5/5 + 6*g**4 + 10082. Solve i(t) = 0 for t.
-3, 0, 24
Let c = -4/819 + -6388/33579. Let r = c - -302/287. Determine l, given that r - 2/7*l**2 + 4/7*l = 0.
-1, 3
Let y be 192/1440 + (-102)/(-135) - 0. Factor -y*a**3 + 50 - 52/9*a**2 + 40/3*a + 2/9*a**4.
2*(a - 5)**2*(a + 3)**2/9
Let u(o) be the first derivative of -8*o**3/45 - 29*o**2/15 + 44*o/3 + 1421. Solve u(p) = 0 for p.
-10, 11/4
Let n = -2/563 + 647/23646. Let c(h) be the second derivative of -15*h - 1/5*h**6 - 3/2*h**3 - h**2 - 4/3*h**4 - 7/10*h**5 + 0 - n*h**7. Factor c(a).
-(a + 1)**4*(a + 2)
Let b(r) be the first derivative of -r**3/9 - 5*r**2/2 + 34*r/3 - 4639. Factor b(i).
-(i - 2)*(i + 17)/3
Let l(a) be the third derivative of a**6/420 - a**5/35 - 10*a**4/21 - 381*a**2. Factor l(q).
2*q*(q - 10)*(q + 4)/7
Let q be (-26)/2 - ((1126 - 1154) + (-239)/(-17)). Factor 12/17*t**2 + q - 24/17*t - 2/17*t**3.
-2*(t - 2)**3/17
Suppose 4*t + 9*p - 10*p - 931 = 0, -230 = -t + 3*p. Let o = 1171/5 - t. Let -2/5 - o*x - 6/5*x**2 - 2/5*x**3 = 0. What is x?
-1
Let n(i) be the first derivative of i**3/6 - 53*i**2/2 + 105*i/2 + 924. Factor n(v).
(v - 105)*(v - 1)/2
What is x in 956*x**2 + 9*x**3 + 915*x**2 - 1796*x**2 + 24*x = 0?
-8, -1/3, 0
Suppose -26*m + 8*m + 918 = 0. Let a be (m/68)/(33/8). Factor a*u + 4/11 - 2/11*u**2.
-2*(u - 2)*(u + 1)/11
Let i(q) be the third derivative of 0 - 47/160*q**5 + 0*q + 7/16*q**3 + 154*q**2 - 21/320*q**6 - 15/64*q**4 + 1/140*q**7. Find w, given that i(w) = 0.
-1, 1/4, 7
Suppose -7 - 14 = 21*c. Let p be 91/(-7) + 9 - 4/c. Find u such that