55*l - 14*l**4 - 59*l + 0*l**4 - 704*l**2.
-2*l*(l - 87)*(l - 2)**2
Suppose a + 5 = 8, -2*i - 2*a + 12 = 0. Suppose i*q + 35 = 8*q. Factor -q + 4*o**3 + 3 + o**5 - 2*o**2 + 4*o**3 + 9*o**4 - 9*o - 3*o**4.
(o - 1)*(o + 1)**3*(o + 4)
Solve 95128*v - 94867*v + 65*v**2 - 13*v**2 + 5 = 0.
-5, -1/52
Factor -48*n - 88259*n**2 - n**3 + 100 + 176478*n**2 - 88270*n**2.
-(n - 1)*(n + 2)*(n + 50)
Solve 4*l**2 + l**4 - 3*l**4 + 106 - 248*l + 92*l**3 - 64 + 118 - 4*l**5 - 2*l**4 = 0 for l.
-5, -2, 1, 4
Let r(l) = -4*l**3 - 10*l**2 + 21*l - 8. Let o be r(-4). Let f(w) be the first derivative of -47/2*w**2 + 5/4*w**o - 14*w + 18 - 28/3*w**3. Factor f(a).
(a - 7)*(a + 1)*(5*a + 2)
Suppose 67*i - 36 - 363 = -66*i. Let u(b) be the second derivative of -14*b + 1/25*b**5 - 1/15*b**4 + 0*b**2 - 4/5*b**i + 0. What is s in u(s) = 0?
-2, 0, 3
Let y(z) = -2*z**2 - 3820*z + 3. Let t be y(0). Factor -1/2*o**t - 2*o**2 + 3 - 1/2*o.
-(o - 1)*(o + 2)*(o + 3)/2
Let v = -817/18 - -410/9. Suppose -1/6 - t**2 - 2/3*t - v*t**4 - 2/3*t**3 = 0. What is t?
-1
Let i(g) be the third derivative of -29*g + 361/39*g**3 + 1/390*g**5 - g**2 + 19/78*g**4 + 0. Factor i(d).
2*(d + 19)**2/13
Solve 26/3 - 8/3*k**3 + 140*k**2 - 139/2*k = 0.
1/4, 52
Determine q, given that -562432/3 - 172/3*q**4 + 346112/3*q + 5336/3*q**3 - 70096/3*q**2 + 2/3*q**5 = 0.
4, 26
Let c be (0 + 6)*(-2)/(-6). Suppose 3*h = -5*i - 41 + 56, 2*h = -5*i + 10. Determine j, given that -8/3*j**c + 4/3*j + 4/3*j**3 + i = 0.
0, 1
Let r(f) be the third derivative of -2*f**7/105 - 7*f**6/5 - 39*f**5/5 + 2*f**4/3 + 104*f**3 - 497*f**2. Let r(n) = 0. Calculate n.
-39, -2, 1
Let a(o) be the third derivative of 3*o**2 - 1/300*o**6 + 0*o**4 - 1 - 1/1050*o**7 + 0*o**5 + 1/1680*o**8 + 0*o + 0*o**3. Factor a(y).
y**3*(y - 2)*(y + 1)/5
Suppose 0*l**2 - 2/5*l**5 + 0 - 44/5*l**3 + 64/5*l + 18/5*l**4 = 0. Calculate l.
-1, 0, 2, 4
Let l(i) = -2*i**2 - 39*i - 30. Let d(p) = 2*p**2 - 1. Let n(c) = d(c) - l(c). Let v be n(-9). Factor -2/15*f**4 - 392/15 - 218/15*f**v + 12/5*f**3 + 168/5*f.
-2*(f - 7)**2*(f - 2)**2/15
Let t be (-2)/5 - 257/(-5) - -3. Let k = -49 + t. Factor -c**3 + 1 + 245*c - 253*c + k*c**2 + 3.
-(c - 2)**2*(c - 1)
Let u(z) = 2*z**3 - 2*z**2 - 2*z - 1. Let p(d) = 10*d**3 - 146*d**2 - 584*d - 588. Let m(n) = p(n) - 4*u(n). Factor m(c).
2*(c - 73)*(c + 2)**2
Let s(m) be the third derivative of 2*m**7/105 + 16*m**6/15 + 113*m**5/15 + 11*m**4/3 - 112*m**3 - 6*m**2 - 6*m + 25. What is b in s(b) = 0?
-28, -3, -2, 1
Let s(w) be the first derivative of w**6/12 - 407*w**5/3 + 1381763*w**4/24 - 153002*w**3/3 - 38307*w**2 - 264. Find g, given that s(g) = 0.
-1/3, 0, 1, 678
Let l = 0 + 10. Let k be -2 - l*1/(-2). Let -6*p**4 - 2*p**4 + 2*p**4 - 4*p**2 + 10*p**k = 0. Calculate p.
0, 2/3, 1
Let f(a) be the first derivative of 3*a**5/5 - 207*a**4/7 + 3666*a**3/7 - 25350*a**2/7 + 19773*a/7 - 2549. Factor f(z).
3*(z - 13)**3*(7*z - 3)/7
Let i(d) be the third derivative of 115*d**2 + 0*d - 1/1680*d**8 - 11/600*d**6 + 0 + 0*d**4 + 1/50*d**5 + 1/175*d**7 + 0*d**3. Determine h so that i(h) = 0.
0, 1, 2, 3
Suppose 0 = 20*n + 18688 + 8192. Let o = -6716/5 - n. Factor -2/5*f**5 + 2/5 + 4/5*f**2 - o*f**3 + 6/5*f - 6/5*f**4.
-2*(f - 1)*(f + 1)**4/5
Let l(a) = 27*a - 216. Let v be l(8). Let w(s) be the first derivative of 3/5*s**5 + v*s**2 - 24 - s**3 + 0*s + 0*s**4. Find q, given that w(q) = 0.
-1, 0, 1
Suppose -97/9*s**2 - 26/3*s + 0 - 7/9*s**3 + 13/9*s**4 + 1/9*s**5 = 0. Calculate s.
-13, -2, -1, 0, 3
Let n = -523 + 538. Determine p, given that 20*p**3 - p - n*p - 20*p + 21*p**2 - 23*p**3 = 0.
0, 3, 4
Suppose 0 = 3*v - 4*l + 46, 4*l + 138 = -5*v + 40. Let a(c) = c + 20. Let d be a(v). Factor 8 + 20*s**3 - 588*s - 30*s**d + 592*s + 3*s**3 - 5*s**4.
-(s - 2)**2*(s - 1)*(5*s + 2)
Suppose 48*c + 11*c - 2837 + 2660 = 0. Suppose -7/2*t**c - 25/2*t - 125/4 + 1/4*t**4 + 15*t**2 = 0. What is t?
-1, 5
Let u(c) = -2*c**3 - 2*c. Let t(r) = -11*r**3 - 111*r**2 + 683*r - 1053. Let i(k) = -t(k) + 5*u(k). Solve i(m) = 0.
-117, 3
Suppose -35*n + 118 = -26*n - q, -4*n + 3*q + 78 = 0. Suppose -6*k - n*k**2 + 15/2*k**3 + 0 = 0. Calculate k.
-2/5, 0, 2
Let k be 2/(-7) + (2 - (-138)/42). Suppose k*x + 4*h - 48 - 75 = 0, 117 = 4*x - 3*h. Determine a, given that -26 - a**2 + 77 - 28 - x + 4*a = 0.
2
Let f(k) be the first derivative of k**3/3 - 127*k**2/2 - 660*k + 8576. Find b such that f(b) = 0.
-5, 132
Determine f, given that 66*f**2 + 45 - 122*f**2 + 43 + 89*f + 57*f**2 = 0.
-88, -1
Suppose 4864/3*z + 2756/3*z**2 + 16/3*z**4 + 464 - 2800/3*z**3 = 0. Calculate z.
-1/2, 2, 174
Factor 165*k + 17*k**3 - 45*k**2 + 51*k**2 - 168*k**2 - 33 + 7*k**3 + 258.
3*(k - 5)*(2*k - 5)*(4*k + 3)
Let g(m) be the third derivative of 3/4*m**4 + 0*m - 68*m**2 + 0 - 2/9*m**3 + 119/90*m**5. Solve g(k) = 0 for k.
-2/7, 1/17
Let y(s) be the second derivative of -1/150*s**5 + 30*s + 0 + 1/20*s**4 - 13/2*s**2 - 2/15*s**3. Let g(x) be the first derivative of y(x). Solve g(k) = 0.
1, 2
Let v = 442934 - 2214669/5. Factor 0 - 17/5*a + v*a**2.
a*(a - 17)/5
Let b(c) be the first derivative of -2*c**3/27 - 22*c**2/9 + 46*c/9 + 322. Factor b(s).
-2*(s - 1)*(s + 23)/9
Let c = 1685 + -710. Factor -23*f**2 + 16*f**2 - c*f + 942*f.
-f*(7*f + 33)
Let o = -186 + 109. Let g = -73 - o. Factor 8*v + 4*v + 5*v**2 - 5*v**g - 2*v - 10*v**3.
-5*v*(v - 1)*(v + 1)*(v + 2)
Let k(b) = 4*b**4 - 244*b**3 + 5708*b**2 - 42572*b + 20. Let a(v) = v**3 - 5*v**2 + v + 1. Let l(p) = -20*a(p) + k(p). Factor l(z).
4*z*(z - 22)**3
Suppose 9*s + 61 = 241. Factor 6*u - s*u**3 + 5*u**3 - 3*u**2 + 3*u**3 + 9*u**3.
-3*u*(u - 1)*(u + 2)
Let c(j) be the second derivative of -5*j**4/12 - 570*j**3 - 3410*j**2 + 2*j - 74. Let c(a) = 0. Calculate a.
-682, -2
Factor -2/19*z**3 - 28071414/19*z + 20239489494/19 + 12978/19*z**2.
-2*(z - 2163)**3/19
Let p(q) be the third derivative of q**7/280 - 9*q**5/40 - q**4 - 15*q**3/8 - 2*q**2 + 117. Let p(m) = 0. Calculate m.
-3, -1, 5
Let y = 7834358 - 15559036309/1986. Let b = 1/662 - y. Factor 1/2 + b*s + 1/6*s**2.
(s + 1)*(s + 3)/6
Let g(x) be the first derivative of -3*x**5/20 + 9*x**4 + 75*x**3/2 + 57*x**2 + 194*x - 197. Let m(l) be the first derivative of g(l). Factor m(i).
-3*(i - 38)*(i + 1)**2
Factor 528*f - 693 + 467 + 23*f**3 + 28*f**2 - 200*f**2 - 350 - f**4.
-(f - 12)*(f - 4)**2*(f - 3)
Let q(g) be the second derivative of -g**6/180 + g**5/20 + 29*g**4/72 - 19*g**3/6 + 20*g**2/3 + 120*g - 2. Suppose q(o) = 0. What is o?
-5, 1, 2, 8
Factor -4*d**2 - 93*d - d**2 + 5*d**4 + 303*d - 435 + 435 - 210*d**3.
5*d*(d - 42)*(d - 1)*(d + 1)
Suppose 5*d + 55 = 105. Factor d - 47*y - 136*y**3 + 116*y**3 - 8*y + 65*y**2.
-5*(y - 2)*(y - 1)*(4*y - 1)
Let q(z) be the second derivative of -7 - z + 25/2*z**2 - 5/36*z**4 - 5/9*z**3. Factor q(m).
-5*(m - 3)*(m + 5)/3
Let d(h) be the first derivative of 0*h**2 - 8 + 0*h + 130/27*h**3 - 1/18*h**4. Factor d(n).
-2*n**2*(n - 65)/9
Solve 15/7*f**2 - 90/7 + 141/7*f = 0.
-10, 3/5
Let j(i) = -i**3 - i**2 - 1. Let n(x) = 7*x + 5*x**3 + 10 + 12*x**3 + 24*x**2 - 5*x + x**3. Let b(a) = 28*j(a) + 2*n(a). Determine k so that b(k) = 0.
-2, -1, 1/2
Let v(d) = -23*d**4 + 14*d**3 - 45*d**2 + 36*d - 27. Let x(y) = -5*y**4 + 3*y**3 - 11*y**2 + 9*y - 6. Let a(j) = -2*v(j) + 9*x(j). Determine t so that a(t) = 0.
-3, 0, 1, 3
Let c(s) be the second derivative of -3*s**5/100 + 9*s**4/4 - 84*s**3/5 + 246*s**2/5 + s - 51. Factor c(m).
-3*(m - 41)*(m - 2)**2/5
Let x(o) be the third derivative of -o**6/480 - 7*o**5/80 - 3*o**4/16 + 5*o**3/3 - 45*o**2 + 4. Factor x(d).
-(d - 1)*(d + 2)*(d + 20)/4
Let o(x) be the first derivative of x**6/6 + 147*x**5/5 + 36*x**4 - 292*x**3/3 - 4575. Determine t so that o(t) = 0.
-146, -2, 0, 1
Let x(a) be the third derivative of -a**7/168 + a**6/36 + a**5/6 - 5*a**4/3 + 20*a**3 + 28*a**2. Let j(o) be the first derivative of x(o). Factor j(s).
-5*(s - 2)**2*(s + 2)
Let g(y) = -14*y**2 - 26*y + 62. Let k(b) = -5*b**2 - 9*b + 21. Let w(d) = -4*g(d) + 11*k(d). Let n be w(7). Find c such that -3*c**2 - n*c - 64*c + 125*c = 0.
-2, 0
Let s(o) = 25*o**3 + 65*o**2 + 1082*o + 1018. Let t(n) = 4*n**3 - n - 1. Let p(w) = -s(w) + 6*t(w). Suppose p(m) = 0. Calculate m.
-32, -1
Let l(z) = 32*z**3 + 65*z**2 - 440*z + 385. Let c(y) = 23*y**3 + 43*y**2 - 293*y + 257. Let v(h) = 