ose 0 = 4*x - 9*x + m. Determine t so that -44*t**3 + 0*t**4 + 53*t**x - 6*t**2 - 3*t**4 = 0.
0, 1, 2
Suppose -o + 2*n + 105 - 92 = 0, 2 = -2*o - 3*n. Let y(r) be the first derivative of 0*r - 4/15*r**o + 0*r**2 + 0*r**4 - 1/9*r**6 - 34 + 0*r**3. Factor y(t).
-2*t**4*(t + 2)/3
Let 130/7*m**2 - 163/7*m + 60/7 - 2*m**4 - 1/7*m**5 - 12/7*m**3 = 0. Calculate m.
-12, -5, 1
Let u(m) = 5*m**4 + 8*m**3 + 6*m**2 + 6*m + 6. Let r(t) = -t**4 + 5*t**3 - t**2 - t - 1. Let j(a) = -6*r(a) - u(a). Factor j(h).
h**3*(h - 38)
Suppose -112*h + 11 + 161 = -52. Let o(m) be the second derivative of -1/2*m**3 + 3*m**h + 9*m + 0 - 1/4*m**4. Determine p, given that o(p) = 0.
-2, 1
Suppose 51 - 203 = -4*c. Let n = 40 - c. Let 12*k**2 - 3*k**3 - 2*k**n + 3 - 9*k + 4*k**2 - 5*k**2 = 0. Calculate k.
1
Let o = 30 + 195. Factor -o*v**2 + 227*v**2 + 6*v**3 - v**5 - 2*v**3 - 3*v - 2.
-(v - 2)*(v - 1)*(v + 1)**3
Let u be (8/63)/((-19312)/(-217260)). Find r, given that 24/7 + u*r**4 + 18/7*r**3 - 2/7*r**5 - 34/7*r**2 - 16/7*r = 0.
-2, -1, 1, 6
Let 23762 + 224/3*w**2 - 1/3*w**3 - 13189/3*w = 0. What is w?
6, 109
Let x be (-6 - 240/(-42)) + (-16620)/(-210). Solve -x*y - 2*y**3 - 144/7 - 172/7*y**2 = 0 for y.
-6, -2/7
Let h be ((-1060)/14)/(24/168). Let x = h + 532. Factor 2/3*z**3 - 2/3 - x*z**2 + 2*z.
2*(z - 1)**3/3
Let y(q) = 21*q**4 + 16*q**3 - q**2 - 20*q + 4. Let r(a) = -5*a**4 + a - 1. Let k(b) = -4*r(b) - y(b). Find x such that k(x) = 0.
-16, -1, 0, 1
Suppose -8*l - 6*j + 8*j = 16, -8 = -2*l - j. Factor 0 + 0*s**2 - 8/5*s**4 + 8/5*s**3 + l*s + 2/5*s**5.
2*s**3*(s - 2)**2/5
Suppose -15*c + 32 = -11*c. Suppose -16 = -3*f + 2*d, 4*d - 18 + 2 = 0. Factor -3*z**3 - c*z**2 - 14*z**2 - 75*z - f*z**2.
-3*z*(z + 5)**2
Suppose -5*d + 29 = 3*j, 0 = j + 48 - 51. Let g(b) be the first derivative of -8/33*b**3 + 36/11*b - 3/11*b**2 + 1/22*b**d - 8. Factor g(t).
2*(t - 3)**2*(t + 2)/11
Let q(v) be the second derivative of v**7/10080 - 11*v**6/480 + 363*v**5/160 - 31*v**4/4 - v**2/2 - 99*v. Let m(u) be the third derivative of q(u). Factor m(s).
(s - 33)**2/4
Let j(p) be the third derivative of p**8/48 - 17*p**7/70 + 39*p**6/40 - 27*p**5/20 + 39*p**2 + 5*p - 1. Let j(l) = 0. What is l?
0, 9/7, 3
Determine h so that -21681 - 21383 + 2*h**4 - 44*h**3 + 330*h**2 + 43704 - 928*h = 0.
1, 5, 8
Let c be 34/(-30) + 6/45 - -11. Find u, given that -c*u + u**2 + u**2 + 2*u = 0.
0, 4
Let g(f) be the third derivative of 0*f**3 + 0*f**4 + 0*f - 12 + 3*f**2 + 0*f**6 + 1/280*f**7 - 1/80*f**5. Factor g(i).
3*i**2*(i - 1)*(i + 1)/4
Let g(f) be the third derivative of 3*f**5/100 + 29*f**4/40 + 33*f**3/5 + 31*f**2 + 2*f + 35. Find j such that g(j) = 0.
-6, -11/3
Let r(l) be the third derivative of l**5/270 - 229*l**4/108 + 76*l**3/9 + l**2 - 58. Factor r(p).
2*(p - 228)*(p - 1)/9
Suppose -18/7 - 2*j**2 + 30/7*j + 2/7*j**3 = 0. Calculate j.
1, 3
Let i(c) be the second derivative of -2*c**5/15 + 23*c**4/18 - 13*c**3/3 + 6*c**2 + 53*c + 2. Factor i(n).
-2*(n - 3)*(n - 2)*(4*n - 3)/3
Let m(w) be the third derivative of w**5/330 + 199*w**4/66 + 39601*w**3/33 + 64*w**2 + 10. Determine g, given that m(g) = 0.
-199
Let f(y) be the second derivative of 5*y**4/12 + 220*y**3/3 + 435*y**2/2 + 344*y. Factor f(o).
5*(o + 1)*(o + 87)
Let v(b) = -12*b**3 - 882*b**2 - 4551*b - 5697. Let x(z) = z**3 + 68*z**2 + 350*z + 438. Let d(i) = -2*v(i) - 27*x(i). Factor d(j).
-3*(j + 2)*(j + 4)*(j + 18)
Let x = 136 + -91. Suppose x*w**3 - 47*w**3 + 5 + 4*w**2 - 5 = 0. What is w?
0, 2
Let l(v) be the third derivative of -v**5/60 + 7*v**4/24 + 124*v**3 + 3872*v**2. Factor l(d).
-(d - 31)*(d + 24)
Let v be (-33)/(-77)*28/6. Suppose -2*z**3 - 13*z**v + 10*z**4 - 13*z + 2*z**5 + 15*z**2 + 13*z - 12*z**2 = 0. Calculate z.
-5, -1, 0, 1
Let t = 87123/7 + -435608/35. Solve 4/5*o**2 + 0 + 0*o - t*o**3 = 0.
0, 4
Suppose -3*j - j - 3*b = -11998, -5*j + 14998 = 4*b. Factor 2998 - j - 44*i**2 - 17*i - 7*i - 12*i**3.
-4*i*(i + 3)*(3*i + 2)
Let y(l) be the first derivative of l**6/30 + 183*l**5/25 + 1763*l**4/4 + 13439*l**3/5 + 15842*l**2/5 + 8577. Find z such that y(z) = 0.
-89, -4, -1, 0
Let c(d) = 8*d + 58. Let k be c(-7). Find y, given that -87*y**k - 16*y**3 - 60*y - 3*y**4 + 43*y**3 - 57*y**3 = 0.
-5, -4, -1, 0
Suppose 0 = -27*g + 122*g - 315 - 65. Let a(m) be the third derivative of -1/60*m**6 + 0*m**g + 0 + 39*m**2 + 0*m + 0*m**3 - 1/6*m**5. Factor a(p).
-2*p**2*(p + 5)
Let u(q) be the first derivative of 2*q**3/45 - 64*q**2/5 + 382*q/15 - 744. Factor u(f).
2*(f - 191)*(f - 1)/15
Let q(z) be the first derivative of 3*z**5/10 - 15*z**4/4 + 6*z**3 + 30*z**2 - 96*z + 4620. Factor q(x).
3*(x - 8)*(x - 2)**2*(x + 2)/2
Let i = 727/60 + -229/20. Factor 2/15*p**2 - i*p + 0.
2*p*(p - 5)/15
Let k(o) = 8*o - 20. Let d be k(4). Suppose 4*i = -4*h + d, -3*i + 2*i + 23 = -3*h. Factor i*r - 2*r**3 + 2*r**2 - 2*r**2 + 0*r**2.
-2*r*(r - 2)*(r + 2)
Let c(w) = -2*w**3 - 284*w**2 - 787*w + 1100. Let d(a) = a**3 + 2*a**2 + 6*a. Let s(t) = c(t) - 3*d(t). What is z in s(z) = 0?
-55, -4, 1
Let q = -93 + 92. Let g(y) = -3*y**3 - y**2. Let k(o) = -8*o**3 - 10*o**2 + 10*o. Let w(x) = q*k(x) + 2*g(x). Factor w(c).
2*c*(c - 1)*(c + 5)
Let b(v) be the first derivative of -12/17*v**3 + 1/51*v**6 + 5/17*v**4 - 27/17*v**2 + 28 + 14/85*v**5 + 54/17*v. Factor b(c).
2*(c - 1)**2*(c + 3)**3/17
Let a(s) be the second derivative of s**5/5 - 857*s**4/3 + 368080*s**3/3 - 366368*s**2 + 14*s + 212. Factor a(z).
4*(z - 428)**2*(z - 1)
Let v = -1189 - -1553. Suppose -13*p = v - 390. Factor -108/7*i**p - 3/7*i**3 - 5184/7 - 1296/7*i.
-3*(i + 12)**3/7
Let s be ((-20900)/456 - -47) + 3/126*-31. Solve 0 + 0*m - 198/7*m**2 - s*m**4 - 75/7*m**3 = 0 for m.
-22, -3, 0
Factor 0 - 35/3*h**2 + 52*h - 1/3*h**3.
-h*(h - 4)*(h + 39)/3
Let x(b) be the third derivative of b**6/660 - 40*b**5/33 + 13199*b**4/44 + 26934*b**3/11 + 2367*b**2. Factor x(m).
2*(m - 201)**2*(m + 2)/11
Let -29/2*c**2 + 5/4*c**3 + 10 + 19*c = 0. Calculate c.
-2/5, 2, 10
What is g in -14/3*g**4 + 16/3 - 86/3*g**3 + 4/3*g - 74/3*g**2 + 10/3*g**5 = 0?
-1, 2/5, 4
Let y(d) be the second derivative of 7/8*d**3 + 3/8*d**4 + 0 - 47*d - 3/80*d**5 + 0*d**2. Factor y(k).
-3*k*(k - 7)*(k + 1)/4
Suppose 283*d - 268*d - 34875 = 0. Suppose -d + 2271 = -18*i. Find x such that -2/21*x + 2/21*x**i - 8/21*x**4 + 0 + 8/21*x**2 = 0.
-1, 0, 1/4, 1
Suppose -18*q = -26*q + 16. Solve 3*n + 19 + 2*n - 381*n**2 + 376*n**q + 11 = 0 for n.
-2, 3
Suppose -674 + 1189*j - 3*j**2 - 1639*j - 214 = 0. What is j?
-148, -2
Let b(f) be the second derivative of f**8/2520 + f**7/180 + f**6/90 + f**3/6 + 7*f**2 - 3*f - 11. Let m(r) be the second derivative of b(r). Factor m(n).
2*n**2*(n + 1)*(n + 6)/3
Let v be (1/8)/((-21)/(-224)*4). Let j(i) be the first derivative of -1 + 0*i**2 + v*i**3 + 0*i + 1/8*i**4. Suppose j(a) = 0. Calculate a.
-2, 0
Let y(w) be the first derivative of -w**4/4 + 12*w**3 - 285*w**2/2 - 722*w + 6534. Let y(h) = 0. What is h?
-2, 19
Suppose -49*h + 96 = -73*h. Let m be (-1056)/(-1008) + h/(-6). Factor -15/7 + 3/7*j**2 - m*j.
3*(j - 5)*(j + 1)/7
Suppose -182*q + 664 - 114 = -178. Let 0*n - 9/2*n**3 + 0*n**2 + 0 + 1/4*n**q = 0. What is n?
0, 18
Let k(q) = -23*q**3 - 43*q**2 - 20*q - 7. Suppose -30*r + 40 = -10*r. Let g(o) = 7*o**3 + 14*o**2 + 7*o + 2. Let a(f) = r*k(f) + 7*g(f). Factor a(w).
3*w*(w + 1)*(w + 3)
Let t = -28587 + 257284/9. Solve 8/9*r**2 + 0 + 7/9*r**3 - 16/9*r + t*r**4 = 0.
-4, 0, 1
Determine h, given that -24883*h - 24706*h - 5*h**5 + 49814*h - 132*h**3 - 88*h**3 + 70*h**2 - 70*h**4 = 0.
-9, -5, -1, 0, 1
Let y(h) be the first derivative of h**3/2 + 45*h**2 - 186*h - 326. What is v in y(v) = 0?
-62, 2
Let m(v) = 7*v - v**2 + 10*v + 13*v + 11 - 38*v. Let o be m(-9). Find l such that 0 - 2/5*l**o + 2/5*l = 0.
0, 1
Let s(t) be the second derivative of t**4/12 + 4*t**3/3 - 9*t**2/2 + 74*t - 6. Determine w, given that s(w) = 0.
-9, 1
Let c(n) be the third derivative of -n**6/120 - 51*n**5/20 - 151*n**4/12 + 1734*n**2 + 2*n. Factor c(u).
-u*(u + 2)*(u + 151)
Let v(h) be the third derivative of h**5/210 - 23*h**4/28 - 142*h**3/21 + 55*h**2 - 4. Factor v(o).
2*(o - 71)*(o + 2)/7
Suppose -9*i + 299*b + 1 = 300*b, 4*i = b - 1. Let -4/3*s**2 - 8/9*s + 0*s**3 + i + 4/9*s**4 = 0. Calculate s.
-1, 0, 2
Let j(m) be the first derivative of m**5