ppose 146 = 5*w - 49. Suppose w = 2*m + 4*h + 49, m - 5*h - 23 = 0. Factor -8/9 + 4/9*s**m + 2/3*s**2 - 2/9*s**4 - 8/9*s.
-2*(s - 2)**2*(s + 1)**2/9
Let m = 67/262 + -3/524. Find d, given that m*d**5 + 0 + 0*d + 1/4*d**3 + 1/2*d**4 + 0*d**2 = 0.
-1, 0
Let h(v) be the third derivative of -v**8/1176 - 11*v**7/147 - 53*v**6/140 - 157*v**5/210 - 13*v**4/21 - v**2 + 9*v + 14. Factor h(z).
-2*z*(z + 1)**3*(z + 52)/7
Suppose 0 = 120*w - 115*w - 10. Factor -27*h**3 + 26*h**3 + 5*h**3 - 28*h**w.
4*h**2*(h - 7)
Let i = -98 - -180. Let t = i - 80. Suppose 10*q + 27*q - 27*q**t + 23*q - 12 = 0. What is q?
2/9, 2
Let c(p) = p**2 - p - 1. Let z(w) = -24*w**2 + 24*w + 22. Suppose 0 = -3*l - 2 + 20. Suppose -l = 3*h - 12. Let a(f) = h*z(f) + 44*c(f). Factor a(q).
-4*q*(q - 1)
Let t(n) be the second derivative of -n**5/60 + 2111*n**4/36 - 185504*n**3/3 - 185856*n**2 - 2743*n. Factor t(c).
-(c - 1056)**2*(c + 1)/3
Let j be (9 - (-512)/(-56))*(1 + -8). Let m(w) = -w**3 - w**2 - w. Let z(i) = -i**3 + 2*i**2 + 2*i. Let t(u) = j*z(u) + 2*m(u). Factor t(v).
-3*v**3
Factor 12012/5*x - 147/5 - 245388/5*x**2.
-3*(286*x - 7)**2/5
Suppose w = 5*o - 21, -2*o - o = 3*w - 9. Let u = 1743/1084 - 368/271. Let 0*d**3 + 0 + 1/4*d**2 + 0*d - u*d**o = 0. What is d?
-1, 0, 1
Let k(m) be the second derivative of -m**6/120 - 57*m**5/80 - 41*m**4/12 - 9*m**3/2 + 353*m. Determine g, given that k(g) = 0.
-54, -2, -1, 0
Let g be (-9)/(27/23) + (-3)/9. Let c be (-2 - -1) + g + 11 + 0. Suppose 2/3*u**3 - 4/3*u - 1/3*u**4 - 4/3 + u**c = 0. What is u?
-1, 2
Factor -45*z**3 - 691*z**2 + 2640 + 1664*z**2 - 1553*z + 58*z**2 + 1749*z**2 + 14053*z.
-5*(z - 66)*(z + 4)*(9*z + 2)
Let r(l) = -l**3 + l**2 - 3*l + 2. Let c(k) = 3*k**4 + 12*k**3 - 123*k**2 + 234*k - 12. Let m(w) = c(w) + 6*r(w). Find u, given that m(u) = 0.
-8, 0, 3
Let z be 1056/(-52 + -36)*-1*1/21. Solve 0 - z*g - 4/7*g**3 + 8/7*g**2 = 0.
0, 1
Let b(q) be the first derivative of -2*q**6/3 + 212*q**5/5 - 771*q**4 + 6700*q**3/3 + 5000*q**2 - 7934. Determine w, given that b(w) = 0.
-1, 0, 4, 25
Find z such that 10*z**3 - 659527 + 659527 + 145*z**2 - 145*z**4 - 10*z = 0.
-1, 0, 2/29, 1
Let i(f) be the first derivative of -2*f**3/3 - 32*f**2 - 504*f + 7134. Let i(u) = 0. What is u?
-18, -14
Let j(m) = -1353*m + 6768. Let d be j(5). Let k(t) be the second derivative of 0*t**2 - 1/28*t**4 + 0 - 26*t + 0*t**d. Solve k(h) = 0.
0
Let z = 327 - 318. Suppose 2 = -z*s + 29. Factor -3/5*a**2 - 6/5*a**s - 3/5*a**4 + 0*a + 0.
-3*a**2*(a + 1)**2/5
Let b(w) be the second derivative of -w**4/4 + 23*w**3/2 - 63*w**2 - 2*w + 1248. Find a, given that b(a) = 0.
2, 21
Factor 1458/7 - 1/7*v**3 - 52/7*v**2 - 621/7*v.
-(v - 2)*(v + 27)**2/7
Let n(v) = -v**3 + 1295*v**2 + 211248*v + 209949. Let j(w) = w**3 + w**2 + 1. Let o(d) = 3*j(d) + n(d). Factor o(l).
2*(l + 1)*(l + 324)**2
Let g(o) be the second derivative of -13*o**5/38 + 647*o**4/114 - 566*o**3/57 + 72*o**2/19 + 14*o + 42. Let g(u) = 0. What is u?
2/13, 4/5, 9
Let d = 17968/231 - 2548/33. Find a such that d*a + 0 - 2*a**3 + 10/7*a**2 = 0.
-2/7, 0, 1
Suppose 4*j - 4*s - 36 = 0, 2*j + 0*j - 21 = -s. Suppose -14 = -i - j. Find g, given that 0*g + 0 + 1/2*g**i + 0*g**3 + 0*g**2 = 0.
0
Find o such that 317*o + 17 + 909 - 3*o**2 + 743*o + 138 - o**2 = 0.
-1, 266
Suppose 0 = -4*f + 14*v + 250, 5*f - 140*v = -137*v + 66. Find y such that 10/3*y + 2/3*y**f + 13/3*y**2 - 1/3*y**4 + 0 = 0.
-2, -1, 0, 5
Let i be 4 + (282/7)/((-351)/(-1365)). Solve -32/3*u**5 - 152/3*u - 460/3*u**2 - i*u**3 - 16/3 - 208/3*u**4 = 0 for u.
-2, -1/4
Let 8/7*k**2 + 6/7*k**3 - 24/7*k + 0 - 2/7*k**4 = 0. Calculate k.
-2, 0, 2, 3
Let x be ((-10)/4)/(124 - 67134/536). Find g, given that -3/7*g**3 + 3/7*g - 45/7 + 45/7*g**x = 0.
-1, 1, 15
Let k(q) be the second derivative of -q**6/30 - 11*q**5/20 - 19*q**4/6 - 26*q**3/3 - 12*q**2 + 4*q + 215. Find z, given that k(z) = 0.
-6, -2, -1
Let r be 112/3780*18/24. Let m(x) be the third derivative of -r*x**5 + 0*x + 0*x**3 + 0 + 0*x**4 + 17*x**2 - 1/540*x**6. Determine b so that m(b) = 0.
-6, 0
Let h(s) be the third derivative of -s**5/20 - 129*s**4/8 - 64*s**3 - 1194*s**2. Factor h(v).
-3*(v + 1)*(v + 128)
Let r be 165/60 + 48 - 50. Factor -45/4*b - r*b**2 + 0.
-3*b*(b + 15)/4
Let g(n) be the second derivative of 5/2*n**2 - 178 + 0*n**3 - 5/12*n**4 - n. Determine m so that g(m) = 0.
-1, 1
Let r(l) be the first derivative of l**4/3 + 596*l**3/9 + 1168*l**2/3 + 2320*l/3 - 2133. Factor r(c).
4*(c + 2)**2*(c + 145)/3
Let c(t) = 2*t**2 - t. Let n(h) = -h**2 - 9*h + 2. Let a(z) = -3*c(z) - n(z). Let r(p) = 110*p**2 - 265*p + 45. Let g(b) = 45*a(b) + 2*r(b). Factor g(f).
-5*f*(f - 2)
Suppose -i = 5*s - 44, -4*s + 2*i - i = -28. Let c = s + 5. Determine m, given that -9*m**3 + 8*m**2 + 10*m**4 + c*m - 26*m**4 - 11*m**3 - m = 0.
-1, 0, 3/4
Let d = 43 + -34. Let v(o) = -66*o**2 - 99*o - 15. Let h(t) be the first derivative of 11*t**3 + 49*t**2/2 + 8*t + 74. Let y(f) = d*h(f) + 4*v(f). Factor y(x).
3*(x + 1)*(11*x + 4)
Let i = -2/5841 - -1949/5841. Suppose -d**3 - i*d - 1/3*d**4 + 0 - d**2 = 0. Calculate d.
-1, 0
Let w = -112 - -64. Let h = -46 - w. Let -2*a**h - 6*a**3 - 1 - a**5 - 2 + 5*a**4 + 9*a - 2*a = 0. Calculate a.
-1, 1, 3
Let z = 37 - 25. Suppose 3*q = -2*p + 11, -5*p = 5*q - z - 3. Solve -17*s**q - 7*s + 3 - 3*s**3 + 22*s - 24*s**4 + 9*s**2 + 5*s**5 + 12*s**2 = 0 for s.
-1, -1/2, 1
Factor -874/3 - 872/3*g + 2/3*g**2.
2*(g - 437)*(g + 1)/3
Let l**3 - 1384 - 678 - 5203*l - 2600*l**2 - 540 = 0. What is l?
-1, 2602
Let p = 27569 - 27567. Let x(v) be the first derivative of -20*v**3 + 23*v**p - 39 - 8*v - 9/2*v**4. Factor x(r).
-2*(r + 4)*(3*r - 1)**2
Let g(u) be the first derivative of u**4 + 88*u**3/3 + 312*u**2 + 1440*u - 784. Let g(t) = 0. Calculate t.
-10, -6
Let h(l) be the second derivative of -34 - 98/3*l**3 + 2/15*l**6 + 40*l**2 - 11/5*l**5 + 13*l**4 + 2*l. Factor h(f).
4*(f - 5)*(f - 4)*(f - 1)**2
Let z = -1932658/9 - -214748. Solve 118/9*j**2 - 70/9*j + 14/9*j**4 - z*j**3 + 4/3 = 0 for j.
2/7, 1, 3
Let b(h) = -15*h**2 - 11555*h + 11370. Let p(m) = -m**2 - 963*m + 948. Let j(i) = 2*b(i) - 25*p(i). Factor j(w).
-5*(w - 192)*(w - 1)
Let l(y) be the second derivative of -1 + 5/16*y**3 + 5*y + 1/32*y**4 - 9/8*y**2. Find m such that l(m) = 0.
-6, 1
Let b = -972 - -976. Let u be 5/(210/9)*b. Let -u - 16/7*g + 0*g**3 - 12/7*g**2 + 2/7*g**4 = 0. What is g?
-1, 3
Determine o, given that 18*o**2 + 608/3 + 112*o + 2/3*o**3 = 0.
-19, -4
Let u be (-110)/2 - (-2664354)/48180. Let q = -244 - -2453/10. Factor 2/5*k**2 + 3/5 + q*k - u*k**3.
-(k - 3)*(k + 1)*(3*k + 2)/10
Let w(n) = -2319*n - 171603. Let z be w(-74). Factor 25/6*q**4 + 4/3 + 55/6*q**z - 14/3*q - q**2.
(q + 1)*(q + 2)*(5*q - 2)**2/6
Let h(p) = -p**2 + p - 1. Let k(m) = 6*m**2 - 196*m - 388. Let a(s) = 4*h(s) + k(s). Let a(q) = 0. Calculate q.
-2, 98
Let 156/7 + 219/7*y**2 + 3/7*y**4 + 324/7*y + 54/7*y**3 = 0. What is y?
-13, -2, -1
Solve -21*w**2 - 467*w - 80*w + 24*w**2 + 116*w + 666 - 238*w = 0 for w.
1, 222
Suppose 4*t + 16 = 0, -24*i + 3*t = -26*i - 1550. Let x = i + 781. Let -1/2*y**3 - 18 + 11/2*y**2 - x*y = 0. What is y?
-1, 6
Let r(u) be the third derivative of u**8/672 + u**7/210 - u**5/60 - u**4/48 + 13680*u**2. Solve r(q) = 0 for q.
-1, 0, 1
Solve -6916*n + n**2 + 4834*n + 2079 + 2*n**2 = 0 for n.
1, 693
Let v(n) be the first derivative of n**6/600 + n**5/25 - 9*n**4/40 + 37*n**3 - 46. Let f(a) be the third derivative of v(a). Factor f(i).
3*(i - 1)*(i + 9)/5
Let y(s) = s**3 + 5*s**2 - 29*s - 27. Let l(f) = -5*f**2 - f**2 + 19 + 7*f + 8 + 23*f. Let h(z) = -2*l(z) - 3*y(z). Solve h(k) = 0.
-3, -1, 3
Let d(m) be the third derivative of 4/735*m**7 - 2*m**2 + 0*m**3 + 0*m**4 + 0*m - 1/70*m**6 + 0*m**5 - 1/2352*m**8 - 59. Find y, given that d(y) = 0.
0, 2, 6
Suppose 17*l - 16*l - 395 = 0. Factor -14*j**3 + 395 - l - 2*j**4 + 0*j**4.
-2*j**3*(j + 7)
Let o(h) = -4*h**3 - 4604*h**2 - 1336316*h - 2654200. Let a(l) = -4*l**3 - 4607*l**2 - 1336317*l - 2654202. Let v(z) = 4*a(z) - 3*o(z). Factor v(f).
-4*(f + 2)*(f + 576)**2
Find f such that -1/6*f**4 + 25/3*f**2 + 5/6*f**3 + 0*f + 0 = 0.
-5, 0, 10
Let b(r) be the third derivative of r**5/30 - 5*r**4/3 - 44*r**3/3 + 1767*r**2. Determine d so that b(d) = 0.
-2, 22
Let w(t) be the third derivat