ppose 0 = 43*r + 9554 + 9582 - 19222. Factor -11/7*m - 1/7*m**3 - 8/7*m**r + 20/7.
-(m - 1)*(m + 4)*(m + 5)/7
Let b(m) be the second derivative of m**5/30 - 82*m**4/9 + 7469*m**3/9 - 59290*m**2/3 + 1766*m - 2. Determine o, given that b(o) = 0.
10, 77
Factor 110/7 + 2/7*x**3 + 114/7*x**2 + 222/7*x.
2*(x + 1)**2*(x + 55)/7
Suppose 25*y - 86*y = -3416. Let o be (72/96)/(18/y). Factor 1/3*a**5 + 0 - o*a**4 + 9*a**2 + 3*a**3 - 18*a.
a*(a - 3)**3*(a + 2)/3
Suppose -2*k = -0*a + 3*a - 9, -a = -k - 8. Let v(s) = s**3 + 42*s**2 - s - 39. Let w be v(-42). What is h in 11*h - 10*h**4 - w*h - a*h**5 + 10*h**2 - 3*h = 0?
-1, 0, 1
Let 3/2*g**5 + 15/2*g**3 - 6*g**4 + 0*g + 0 - 3*g**2 = 0. What is g?
0, 1, 2
Let o(z) be the first derivative of 5*z**2 + 20*z + 53*z**2 - 87 + 52*z**3 + 11246*z**4 - 11255*z**4. Solve o(t) = 0 for t.
-1/3, 5
Suppose 6*t = 23*t + 9877. Let h = t - -4071/7. Factor 0 - h*a**2 + 6/7*a**3 + 0*a - 2/7*a**4.
-2*a**2*(a - 2)*(a - 1)/7
Let s(n) be the second derivative of 2/3*n**2 - 1/108*n**4 + 26*n - 4/27*n**3 + 1/180*n**5 - 2. Suppose s(d) = 0. Calculate d.
-3, 2
Let 3/2*p**2 - 2484*p + 1028376 = 0. What is p?
828
Suppose 42*m - 50*m + 112 = 0. Suppose 2*l - m = 2*s, -s - 5 + 1 = 0. Solve 0 - 5/2*y**2 + 1/2*y**l + 3*y = 0.
0, 2, 3
Find q, given that -87616 + 1184/3*q - 4/9*q**2 = 0.
444
Factor -21*w**2 - 192/5 + 3/5*w**3 + 294/5*w.
3*(w - 32)*(w - 2)*(w - 1)/5
Let j(m) = -4*m**2 + 5242*m + 3426986. Let l(a) = 31*a**2 - 41935*a - 27415884. Let x(s) = 47*j(s) + 6*l(s). Factor x(r).
-2*(r + 1309)**2
Let n(m) be the second derivative of m**6/150 + 4*m**5/15 + 19*m**4/30 + 9*m**2/2 + 179*m. Let h(o) be the first derivative of n(o). Solve h(g) = 0.
-19, -1, 0
Suppose 67 - 58 = 9*v. Let p be v/(2 + 2/8 + -2). Solve p*s + 4/3*s**2 + 8/3 = 0 for s.
-2, -1
Let o(t) be the third derivative of -t**8/1344 - 17*t**7/840 - 31*t**6/480 - t**5/16 + t**2 - 336*t. Factor o(f).
-f**2*(f + 1)**2*(f + 15)/4
Let v(w) be the second derivative of w**8/560 + 3*w**7/350 - w**5/25 - 99*w**2/2 + 24*w + 4. Let g(n) be the first derivative of v(n). Factor g(x).
3*x**2*(x - 1)*(x + 2)**2/5
Let c be (-4 + (-14)/7)/((-26 - 4)/2). Let c*q**4 - 132/5*q**3 + 2042/5*q**2 + 2312/5 + 4488/5*q = 0. Calculate q.
-1, 34
Let k = -41 - -581. Factor k - 540 - 124*b**3 - 1764*b - 8*b**4 - 228*b**3 - 3696*b**2 + 12*b**3.
-4*b*(b + 21)**2*(2*b + 1)
Let z(c) = -1991*c**2 + 5972*c + 3. Let l be z(3). Solve -2/5*a**4 - 4/5*a**3 + 16/5*a**2 + l + 0*a = 0 for a.
-4, 0, 2
Let b(j) be the second derivative of 0 + 46*j - 71/80*j**5 - 29/24*j**3 - 1/4*j**2 - 25/16*j**4 - 23/120*j**6. Let b(o) = 0. Calculate o.
-1, -2/23
Let s = 455 + -1098. Let m = s + 8389/13. Let 14/13*p**2 + 18/13 - m*p - 2/13*p**3 = 0. What is p?
1, 3
Let n be (4/30)/((-22)/31218). Let l = -180 - n. Factor -13*c + 2/5*c**3 + 7/5*c**4 - l*c**2 - 5 - 1/5*c**5.
-(c - 5)**2*(c + 1)**3/5
Suppose 5*t = -6 + 31. Let u(n) = n**2 - n - 10. Let z be u(t). Factor 6*p**3 + 3*p**3 + 5*p**2 - 4*p**3 - z*p.
5*p*(p - 1)*(p + 2)
Let c(a) = -a**2 - 80*a + 1608. Suppose 2*x + k + 16 = 24, 2 = 5*x - 2*k. Let i(z) = -z**2 + 4. Let b(f) = x*i(f) - c(f). Factor b(u).
-(u - 40)**2
Let x = 386/1149 + -1/383. Suppose 4*t + 12 = 10*t. Factor x*r**3 + 5/3 + 11/3*r + 7/3*r**t.
(r + 1)**2*(r + 5)/3
Let c(d) = 2*d**2 + 46*d + 206. Let g be c(-6). Let t(j) be the third derivative of 1/120*j**5 - 3*j**g + 0*j**3 - 1/480*j**6 + 0*j**4 + 0*j + 0. Factor t(a).
-a**2*(a - 2)/4
Let p = -1409 - -1886. Let b be 212/p*18/4. Determine w, given that 4/7*w + 2*w**b + 0 = 0.
-2/7, 0
Let t = -5389/3 - -1815. Let r be 1*10/15*6. Let 16/3*a**r + 8/3 + t*a**2 + 34/3*a + 2/3*a**5 + 44/3*a**3 = 0. Calculate a.
-4, -1
Let t(r) = -15*r**3 - 3*r**2. Let p = 172 + -173. Let y(d) = -d**3 - d**2 + 1. Let h(w) = p*t(w) + 12*y(w). Suppose h(z) = 0. What is z?
-1, 2
Let y = -6475 - -6477. Let k(d) be the third derivative of -1/15*d**5 + 13/27*d**4 + 0 - 40/27*d**3 + 1/945*d**7 - 1/540*d**6 + 0*d + 5*d**y. Factor k(w).
2*(w - 2)**3*(w + 5)/9
Let b(q) be the second derivative of -q**5/60 + 199*q**4/3 - 316808*q**3/3 + 252179168*q**2/3 - q - 1756. Solve b(s) = 0.
796
Factor -124/5*c + 26/5*c**3 + 0 + 802/5*c**2.
2*c*(c + 31)*(13*c - 2)/5
Suppose 0 - 19/10*z**3 - 2*z**2 + 0*z + 1/10*z**4 = 0. Calculate z.
-1, 0, 20
Let x(j) be the third derivative of j**8/504 + 79*j**7/315 - 9*j**6/20 - 79*j**5/90 + 20*j**4/9 + 51*j**2 - 16*j. Solve x(n) = 0 for n.
-80, -1, 0, 1
Let r(t) = t**2 - 1002*t + 72. Let w(u) = u**2 - 2004*u + 120. Let p(c) = -5*r(c) + 3*w(c). Factor p(q).
-2*q*(q + 501)
Let 13*r + 23 - 15*r**5 - 17 + 4*r**2 - 11*r**5 - 2*r**4 + 27*r**5 - 6*r**3 = 0. What is r?
-1, 2, 3
Let m be 276/(-2208)*56/(-21). Determine d, given that 0*d**4 - d**3 + m*d**5 + 0*d - 2/3*d**2 + 0 = 0.
-1, 0, 2
Let k(z) be the third derivative of z**5/6 - 7*z**4/6 - 8*z**3 - 2383*z**2. Factor k(g).
2*(g - 4)*(5*g + 6)
Let o(v) be the first derivative of 144 - 9/2*v - v**3 + 33/8*v**2. Suppose o(n) = 0. Calculate n.
3/4, 2
Factor 224/3*m - 2 + 76/9*m**3 + 454/9*m**2.
2*(m + 3)**2*(38*m - 1)/9
Let w(k) be the first derivative of 0*k - 9/35*k**5 + 27/28*k**4 + 1/42*k**6 - 31/21*k**3 + 6/7*k**2 + 96. Let w(f) = 0. Calculate f.
0, 1, 3, 4
Let i(d) be the second derivative of d**5/170 - 35*d**4/102 + 98*d**3/51 - 64*d**2/17 + 1265*d. Find b, given that i(b) = 0.
1, 2, 32
Factor 2/17*n**2 + 34 - 4*n.
2*(n - 17)**2/17
Suppose -6*f = -2*f + 2*l - 8, 3*f + 3*l = 6. Let y be -2 + 26/3 + 0. Factor 50/3 + y*s + 2/3*s**f.
2*(s + 5)**2/3
Let h(g) = 3*g**4 - 204*g**3 - 654*g**2 - 663*g - 228. Let w(v) = 3*v**3 + v**2 - 2. Let k(z) = h(z) - 3*w(z). Let k(o) = 0. What is o?
-1, 74
Suppose 208 = 2*o + 64. Let 610*t + o*t**3 + 2*t**4 + t**4 + 481*t + 498*t**2 + 363 - 299*t = 0. What is t?
-11, -1
Let p(f) be the first derivative of 3*f**4/20 + f**3/5 - 3*f**2 + 24*f/5 + 3276. Factor p(q).
3*(q - 2)*(q - 1)*(q + 4)/5
Let q(h) be the second derivative of -h**7/231 - 23*h**6/165 - h**5/5 - 41*h - 8. Determine m, given that q(m) = 0.
-22, -1, 0
Let u = 436/705 + 168/235. What is i in 2/3*i**4 - 2/3*i**5 - 2/3*i + 2/3 + u*i**3 - 4/3*i**2 = 0?
-1, 1
Let d(j) be the second derivative of j**6/6 - 170*j**5 + 3395*j**4/12 + 7806*j. Let d(p) = 0. Calculate p.
0, 1, 679
Suppose 0 = 2*u + 52 - 60. Factor 4*c + 9 + 2*c**3 + 7*c**u + 8*c**2 + c**4 - 9*c**4 - 22*c.
-(c - 3)*(c - 1)**2*(c + 3)
Let v(n) = 4*n**2 - 49*n - 246. Let j(h) = -h**2 + 13*h + 62. Let t(f) = -9*j(f) - 2*v(f). Factor t(x).
(x - 22)*(x + 3)
Let q(i) be the third derivative of -21*i**2 + 0 - 1/120*i**6 - 1/30*i**3 + 19/240*i**4 + 11/600*i**5 + 0*i. Factor q(c).
-(c - 2)*(c + 1)*(10*c - 1)/10
Let z be (-322)/56 + 6 + (-1510)/(-8). Let j be -4 + (-20)/(-6) - (-288)/z. Suppose 3/7*a**4 + 0*a**2 - 6/7*a - 3/7 + j*a**3 = 0. What is a?
-1, 1
Let y(h) be the first derivative of -h**4/32 + 65*h**3/8 - 588*h**2 - 2401*h/2 - 6794. Determine t so that y(t) = 0.
-1, 98
Suppose 35 = 5*y - h, 4*y - 292*h + 287*h - 91 = 0. Determine j, given that 0*j**2 + 1/2*j**y + 0 + 0*j - 9*j**3 = 0.
0, 18
Factor 0*g**2 + 0*g - 28/3*g**5 - 8/3*g**3 + 0 + 12*g**4.
-4*g**3*(g - 1)*(7*g - 2)/3
Let a(y) be the first derivative of 4/5*y**5 + 0*y**4 - 4/3*y**3 - 96 + 0*y + 0*y**2. Factor a(z).
4*z**2*(z - 1)*(z + 1)
Suppose 11*a - 4*k - 149 = 8*a, 3*a - k - 143 = 0. Let c be -43 + a - (1 - (-1 + 0)). Solve -4/7 - 1/7*j**4 + 12/7*j - 13/7*j**c + 6/7*j**3 = 0.
1, 2
Let n(r) = -3*r**3 - 31*r**2 - 103*r - 75. Let w(t) = 1065*t - 354 - 123*t**2 + 54 - 1476*t - 12*t**3. Let o(b) = 9*n(b) - 2*w(b). Factor o(a).
-3*(a + 1)*(a + 5)**2
Let h(w) be the third derivative of 0 + 0*w + 0*w**3 - 2/225*w**5 - 1/900*w**6 + 35*w**2 - 1/45*w**4. Factor h(i).
-2*i*(i + 2)**2/15
Find i such that -5888/11*i + 8/11 + 98758*i**3 + 98222*i**2 = 0.
-1, 2/737
Let s(w) be the second derivative of 4*w**3 + 0 - 6/35*w**5 - 1/105*w**6 - 7*w**2 + 94*w - 11/21*w**4. Factor s(i).
-2*(i - 1)**2*(i + 7)**2/7
Let i(x) be the first derivative of 455*x**3/3 - 1355*x**2/2 - 30*x - 1195. Factor i(z).
5*(z - 3)*(91*z + 2)
Let j(a) be the second derivative of 0 + 0*a**2 - 36*a**3 - 70*a - 1/28*a**7 - 1/10*a**6 + 3*a**4 + 69/40*a**5. Suppose j(d) = 0. What is d?
-4, 0, 3
Let a = 1059 + -1059. Let g(c) be the first derivative of 1/7*c**2 - 1/14*