+ 0*i**2 - 1/110*i**5 + 47/66*i**4 - 72*i. Factor s(z).
-2*z*(z - 48)*(z + 1)/11
Suppose -24 = -o - 4*l, 4*l + 31 = 5*o + 7. Let f be (o - (-231)/(-28))*0. Factor 0*r**3 - 4/7*r**2 + 0 + 4/7*r**4 + f*r.
4*r**2*(r - 1)*(r + 1)/7
Factor -2/11*f**2 - 1568/11*f - 307328/11.
-2*(f + 392)**2/11
Let w = -6559/5 + 1312. Let q(r) be the second derivative of 0*r**2 + 0*r**3 + w*r**5 + 42*r + 2*r**4 + 0. Find i such that q(i) = 0.
-6, 0
Let b(o) = 50*o**3 - 226*o**2 - 845*o + 389. Let p(y) = 324*y**3 - 1468*y**2 - 5496*y + 2528. Let n(c) = -32*b(c) + 5*p(c). Find j such that n(j) = 0.
-3, 2/5, 8
Find g, given that 159/4*g - 15/4*g**3 - 63/4*g**2 + 3/4*g**4 - 21 = 0.
-4, 1, 7
Factor 1648*n**2 + 4/3*n**3 + 279738112/3 + 678976*n.
4*(n + 412)**3/3
Suppose -73*k = -79*k + 24054. Determine a so that k*a**2 - 4017*a**2 - 4*a**3 + 3*a**3 - 7*a = 0.
-7, -1, 0
Suppose -g = 5*z - 440, -5*z - 3*g = 6748 - 7168. What is l in -14*l**3 - z*l**2 - 108 - 3/4*l**4 - 216*l = 0?
-6, -2/3
Let u(g) be the third derivative of -g**8/448 + 2*g**7/35 + 11*g**6/32 + 19*g**5/40 + 70*g**2 - 7*g + 4. Find p, given that u(p) = 0.
-2, -1, 0, 19
Suppose -b + 689 = -2070. Suppose -5*u = -w - b + 219, u - 499 = 2*w. Find h such that h**3 - 512*h + u*h - 12*h**2 + 2*h**3 + 12 = 0.
-1, 1, 4
Let x = -6444 - -6449. Let w(d) be the third derivative of -1/105*d**7 + 3*d**4 + 9*d**3 + 1/5*d**x - 1/15*d**6 + 0 + 0*d - 3*d**2. Factor w(p).
-2*(p - 3)*(p + 1)*(p + 3)**2
Let g(i) be the third derivative of -1/180*i**5 + 7/9*i**4 - 392/9*i**3 + 0*i + 2*i**2 + 37. Factor g(p).
-(p - 28)**2/3
Determine p so that -23/9*p**2 + 2/9*p**3 + 10/9*p + 11/9 = 0.
-1/2, 1, 11
Let -186/5*o + 8*o**2 - 2/5*o**3 + 252/5 = 0. Calculate o.
3, 14
Let y be (-5)/(-10) + (-2)/(-8). Suppose -5*w = -4*t - 14, -4*t + 210 = 214. Factor 21/4*g - y*g**w + 6.
-3*(g - 8)*(g + 1)/4
Suppose 4*k = 3*g + 19, -795*g = -796*g + 3*k - 18. Solve 4/5*m**4 + 8/5*m**g + 0 + 16/15*m**2 + 0*m + 2/15*m**5 = 0.
-2, 0
Factor -1080 + 2397*q**2 + 3*q**3 + 15*q**3 - 1628*q + 291*q**2 + 2*q**3.
4*(q - 1)*(q + 135)*(5*q + 2)
Let m(n) be the third derivative of 0*n - 1 + n**2 + 1/15*n**5 + 0*n**4 - 2/15*n**6 + 0*n**3. Factor m(g).
-4*g**2*(4*g - 1)
Let u(k) be the third derivative of -k**8/336 + 7*k**7/30 + 131*k**6/60 + 107*k**5/15 + 9*k**4 + 955*k**2. Solve u(t) = 0.
-2, -1, 0, 54
Let s(w) = w**3 - 5*w**2 + 3*w - 13. Let q be s(5). Let 3*t**q + t**2 - 48 - 25*t - 36*t + 57*t = 0. Calculate t.
-3, 4
Suppose 215*c = 202*c. Factor 6/7*s**2 + 0*s + c + 3/7*s**4 - 9/7*s**3.
3*s**2*(s - 2)*(s - 1)/7
Let d(s) be the second derivative of 3*s**7/70 - 17*s**6/10 + 561*s**5/100 - 131*s**4/20 + 13*s**3/5 - 19*s + 33. Let d(r) = 0. What is r?
0, 1/3, 1, 26
Suppose -101*p + 4048 - 1184 = 615*p. Solve 2/5*o**p + 48/5*o**2 - 24/5*o**5 + 66/5*o**3 + 0 + 8/5*o = 0.
-1, -2/3, -1/4, 0, 2
Let i(k) be the second derivative of 16/3*k**4 - 2/3*k**5 + 0 + 1/30*k**6 - 12*k - 64/3*k**3 - 10*k**2. Let s(h) be the first derivative of i(h). Factor s(o).
4*(o - 4)**2*(o - 2)
Let k(r) be the third derivative of -r**5/34 - 151*r**4/102 - 40*r**3/51 - 5651*r**2. Factor k(z).
-2*(z + 20)*(15*z + 2)/17
Let s(y) be the third derivative of 32*y**7/105 - 548*y**6/3 - 917*y**5/5 + 1201*y**4/3 - 686*y**3/3 + y**2 + 429*y. Solve s(v) = 0 for v.
-1, 1/4, 343
Factor 56*f**2 + 249*f**2 + 7092*f - f**3 - 6179*f - 71148 - 19062*f - 4643*f.
-(f - 154)**2*(f + 3)
Let y(x) be the first derivative of x**4/10 - 10*x**3/3 - 592*x**2/5 - 5248*x/5 + 4777. Factor y(k).
2*(k - 41)*(k + 8)**2/5
Let m(j) be the third derivative of -1/1020*j**6 + 0*j + 0*j**3 + 3/68*j**4 + 0 + 0*j**5 - 211*j**2. Factor m(b).
-2*b*(b - 3)*(b + 3)/17
Determine w so that 0*w + 0 - 104/11*w**4 - 196/11*w**2 + 2/11*w**5 + 298/11*w**3 = 0.
0, 1, 2, 49
Let y(u) be the first derivative of 75*u + 3/4*u**4 - 16 + 11*u**3 + 105/2*u**2. Suppose y(j) = 0. What is j?
-5, -1
Let t(r) be the second derivative of r**7/6300 + 49*r**6/1800 - 59*r**4/6 + 42*r. Let y(m) be the third derivative of t(m). Find a, given that y(a) = 0.
-49, 0
Let u = 1988/9 + -943/18. Let z = -168 + u. Let 0 - z*a**2 + 0*a**4 + 0*a - 1/4*a**5 + 3/4*a**3 = 0. Calculate a.
-2, 0, 1
Let -61/6*b + 29/2 - 9/2*b**2 + 1/6*b**3 = 0. What is b?
-3, 1, 29
Let d = -241 + 285. Determine x, given that -87 - 2*x**2 + 14*x + d + 43 = 0.
0, 7
Let u(g) = 20*g**3 - 485*g**2 - 61003*g - 178611. Let t(w) = -7*w**3 - 2*w**2 + w + 1. Let f(v) = -3*t(v) - u(v). Find m, given that f(m) = 0.
-244, -3
Suppose 0 + 0 - 2048*z + 3*z**4 + 2504*z + 462*z**3 + 915*z**2 = 0. Calculate z.
-152, -1, 0
Let s(t) be the second derivative of 1/10*t**5 + 44/3*t**3 - 17/6*t**4 - 268*t + 0 - 28*t**2. Let s(o) = 0. Calculate o.
1, 2, 14
Let f(v) = v**3 - 4*v**2 - 10*v + 24. Let a be f(6). Find j, given that -a*j**2 - j**3 - 320*j - 576 - 304*j - 13*j**2 = 0.
-24, -1
Let m(h) be the first derivative of h**4/4 + 1043*h**3/3 + 272483*h**2/2 + 271441*h + 222. Factor m(x).
(x + 1)*(x + 521)**2
Let w(m) be the second derivative of m**5/140 + 43*m**4/21 + 3698*m**3/21 + 10*m - 5. Suppose w(d) = 0. What is d?
-86, 0
Let a(o) = -27*o**3 - 227*o**2 + 1335*o - 1996. Let g(d) = 23*d**3 + 227*d**2 - 1335*d + 1995. Let j(q) = 12*a(q) + 14*g(q). Let j(h) = 0. Calculate h.
3, 221
Let g be (-21)/196*1880/(-150) - 10*12/105. Determine a, given that 39/10*a + 41/10*a**2 - g = 0.
-1, 2/41
Suppose -1840 + 67 = -197*z. Solve 81/2*t**2 + z*t + 1/2 = 0.
-1/9
Let r = 539/3 - 157. Let o = r - 292/15. Suppose -36/5*s**2 - 64/5*s + o + 28*s**4 + 184/5*s**3 = 0. What is s?
-1, 2/7, 2/5
Let j = 744 + -744. Let c(f) be the third derivative of j - 1/6*f**5 + 0*f + 2/3*f**3 + 8*f**2 + 1/4*f**4. Factor c(v).
-2*(v - 1)*(5*v + 2)
Suppose 3 - 1 = l. Let d(o) be the first derivative of 5*o**2 - 2 + 8*o - 4*o**3 + o**2 - 4*o**l. Factor d(x).
-4*(x - 1)*(3*x + 2)
Factor -48/7 - 32/7*r**3 + 382/7*r - 752/7*r**2.
-2*(r + 24)*(4*r - 1)**2/7
Let f(g) be the second derivative of g**4/4 - g**3 + 4*g**2 - 5*g. Let r be f(4). Find y such that -r*y + 51*y**4 + 18*y**2 + 9 - 54*y**4 + 8*y = 0.
-3, 1
Let l(f) be the first derivative of -f**8/336 + f**7/56 - f**6/36 + f**3 - 10*f**2 + 28. Let h(m) be the third derivative of l(m). Determine q so that h(q) = 0.
0, 1, 2
Let l be ((-2)/(-20))/((-2)/(-36)). Suppose -26*b + 5*b - 65*b = -344. Determine q, given that -7/5*q**b - l*q**2 + 0 + 3*q**3 + 1/5*q**5 + 0*q = 0.
0, 1, 3
Let y(j) = 17*j**2 - 52*j**2 + 17*j**2 + j**4 - j + 17*j**2. Let q(o) = 13*o**4 + 18*o**3 - 3*o**2 - 17*o. Let f(d) = 2*q(d) - 18*y(d). Factor f(p).
4*p*(p + 1)*(p + 4)*(2*p - 1)
Let d = -423 - -4661/11. Let w = 79/33 - d. Suppose 2/3*r**5 + 5/3*r**4 - 2/3*r + 0*r**3 - w*r**2 + 0 = 0. What is r?
-2, -1, -1/2, 0, 1
Let r(l) be the second derivative of -19321*l**6/10 + 417*l**5/10 - l**4/4 + 745*l + 1. Factor r(x).
-3*x**2*(139*x - 1)**2
Let k be (-4 + (-11)/(-2))/((-6)/(-8)). Suppose -4 = -l - p, -5*l + 4*p = -k - 9. Let 0*y - 3*y**2 + 0 - 27/2*y**l = 0. What is y?
-2/9, 0
Let y be 8*(688/(-64) - -9 - -2). Suppose 2/9*j**5 + 64/9 + 32/9*j + 4/9*j**4 - 32/9*j**y - 16/9*j**3 = 0. What is j?
-2, 2
Let g(o) = o**2 - 19*o - 18. Let f be g(20). Let 38 + 44*q**4 - 32 - 21*q**f - 29*q**4 - 9*q**3 + 9*q = 0. What is q?
-1, -2/5, 1
Let p(g) be the third derivative of -g**8/168 - 2*g**7/21 - 29*g**6/60 - 16*g**5/15 - g**4 - 275*g**2 - 1. Let p(o) = 0. What is o?
-6, -2, -1, 0
Let o(g) be the first derivative of g**4/26 + 8*g**3/39 - 5*g**2/13 + 3808. Factor o(d).
2*d*(d - 1)*(d + 5)/13
Let y(w) = 20*w - 119. Let k be y(6). Let a be k/8 - (-5)/440*245. Determine p so that -16/11*p + 2/11*p**2 + a = 0.
4
Let a(j) be the third derivative of j**6/30 - 31*j**5/15 + 53*j**4/2 - 150*j**3 - 81*j**2 - 6*j + 3. Factor a(f).
4*(f - 25)*(f - 3)**2
Let a = 632443/6 + -105407. Suppose a*m**5 + 0*m - 1/2*m**3 + 0*m**2 + 1/3*m**4 + 0 = 0. What is m?
-3, 0, 1
Let u = 5429/30 - 904/5. Let i(w) be the second derivative of u*w**4 + 0 + 4*w**2 - 5/3*w**3 - 5*w. Factor i(o).
2*(o - 4)*(o - 1)
Let d(s) be the first derivative of -s**5/10 + 767*s**4/4 - 195071*s**3/2 - 589823*s**2 - 1182722*s + 366. Factor d(a).
-(a - 769)**2*(a + 2)**2/2
Let s(y) be the third derivative of y**6/600 - 239*y**5/300 + 29*y**2 - 2. Find i, given that s(i) = 0.
0, 239
Let t = 624 + -394. Let 