e a.
-1, 0
Factor 24/7*y - 25/7 + 1/7*y**2.
(y - 1)*(y + 25)/7
Let k(y) = -y**3 - 22*y**2 + y + 2. Let h(f) = 35*f**3 + 380*f**2 + 5190*f - 32460. Let t(v) = -h(v) - 30*k(v). Factor t(g).
-5*(g - 20)*(g - 18)**2
Let -2160/13 + 1512/13*u + 46/13*u**3 - 2/13*u**4 - 396/13*u**2 = 0. Calculate u.
5, 6
Let a(v) = v**2 + 20*v + 27. Let q be a(-19). Factor -362*r**2 - 357*r**2 + 699*r**2 - 8*r**4 - 40*r**3 - 15*r**4 + q*r**4.
-5*r**2*(r + 2)*(3*r + 2)
Let x(u) be the second derivative of 42/5*u**2 - 1/15*u**4 + 8/15*u**3 + 1 - 2*u. Solve x(m) = 0.
-3, 7
Suppose 0 = 2*b - 3*g - 19, g - 2*g = 3. Suppose -35*f + 65 + b = 0. Suppose -3/4*d**f + 0 + 1/4*d = 0. What is d?
0, 1/3
Let l(u) be the first derivative of -5*u**3/3 + 165*u**2 - 4320*u - 5987. Factor l(f).
-5*(f - 48)*(f - 18)
Let p be -1 + 334/30 + 10870/(-1087). Determine h so that 2/15*h**4 - p*h**2 + 0 - 2/15*h**3 + 2/15*h = 0.
-1, 0, 1
Let u(t) be the second derivative of -t**6/160 - t**5/20 - 5*t**4/32 - t**3/4 + 73*t**2/2 - t - 48. Let v(o) be the first derivative of u(o). Factor v(z).
-3*(z + 1)**2*(z + 2)/4
Let z = -357128 + 357131. Factor -1/4*x**z + 1/4*x**5 + 0 + 0*x + 9/4*x**4 - 9/4*x**2.
x**2*(x - 1)*(x + 1)*(x + 9)/4
Let j be 1 - 2 - (-69)/46. Let a(b) be the first derivative of b**2 - 16 - 1/10*b**5 - 1/2*b + j*b**4 - b**3. Suppose a(x) = 0. What is x?
1
Determine n so that 3/5*n**2 - 36 + 24/5*n**3 - 204/5*n - 3/5*n**4 = 0.
-2, -1, 5, 6
Let v(p) be the first derivative of -2*p**5/11 + 6*p**4/11 + 122*p**3/33 + 24*p**2/11 - 40*p/11 - 323. Find z, given that v(z) = 0.
-2, -1, 2/5, 5
Let l(i) = i**2 - 3*i. Let j be l(4). Let r = 169 + -97. Find z, given that -10*z**5 + 36*z**3 + r*z**4 + 74*z**5 + 24*z**j = 0.
-3/4, 0
Let q(b) be the first derivative of -3*b**5/10 + 29*b**4/3 - 220*b**3/9 + 24*b**2 + 233*b - 189. Let j(s) be the first derivative of q(s). Factor j(z).
-2*(z - 18)*(3*z - 2)**2/3
Let v = -745/3 - -5224/21. Solve 0*o**2 - v*o**3 + 0*o + 0 = 0.
0
Let l(j) be the first derivative of -2*j**6/3 - 44*j**5/5 - 36*j**4 - 48*j**3 - 2200. Determine b so that l(b) = 0.
-6, -3, -2, 0
Let p(b) be the first derivative of 4*b**3/3 + 84*b**2 + 164*b + 1461. What is u in p(u) = 0?
-41, -1
Let s(g) be the second derivative of -7*g**5/10 + 25*g**4/3 - 7*g**3/3 - 992*g. Determine w, given that s(w) = 0.
0, 1/7, 7
Let g = 2866 - 2866. Let k(w) be the third derivative of g*w + 16/39*w**3 + 1/780*w**6 + 0*w**5 + 0 + 34*w**2 - 1/13*w**4. Factor k(h).
2*(h - 2)**2*(h + 4)/13
Let o = 161/5 - 213/5. Let f = 12 + o. Factor -2*m**2 + 0 - f*m**4 + 16/5*m**3 + 2/5*m.
-2*m*(m - 1)*(2*m - 1)**2/5
Let h = -5/42717 - -4869803/555321. Factor -2/13*k**2 + 0 - h*k.
-2*k*(k + 57)/13
What is d in 1/9*d**4 + 4*d + 7/9*d**2 - 4 - 8/9*d**3 = 0?
-2, 1, 3, 6
Let u(a) be the second derivative of a**4/32 - 7*a**3/4 + 39*a**2/4 - 607*a - 2. Factor u(f).
3*(f - 26)*(f - 2)/8
Let 24 - 47/2*a - 1/2*a**2 = 0. Calculate a.
-48, 1
Let b = -22 + 24. Let c be -1 + (b + -3 - -6). Factor 4*p**3 - 6*p**3 - 5*p**3 + c*p**3 - 3*p**4.
-3*p**3*(p + 1)
Let x(a) be the second derivative of 0 + 4*a - 55/6*a**3 + 5/12*a**4 + 0*a**2. Solve x(d) = 0.
0, 11
Let s = -454234 + 1362703/3. Let s*g**2 - 10/3*g + 3 = 0. Calculate g.
1, 9
Suppose -21*y = -16*y + 245. Let i be 14/y + 86/7. Determine b so that -3 + 4*b**5 + 0*b**5 + i*b + 30*b**2 - b**5 - 21 - 6*b**4 - 15*b**3 = 0.
-2, -1, 1, 2
Let r(z) be the first derivative of -z**6/6 - 102*z**5/5 - 199*z**4/2 - 592*z**3/3 - 393*z**2/2 - 98*z - 2668. Factor r(q).
-(q + 1)**4*(q + 98)
Let i be 40/12 + (-62)/186. Let k(s) be the second derivative of 3/4*s**2 - s + 1/8*s**4 + 1/2*s**i + 0. Factor k(b).
3*(b + 1)**2/2
Let k be ((-195)/52)/((-2)/8). Let c(t) = t + 7. Let u be c(k). Factor -7*s**2 + 30*s + 2*s**3 - s**2 - u*s.
2*s*(s - 2)**2
Let y(c) be the first derivative of -c**5/10 - 13*c**4/4 - 229*c**3/6 - 195*c**2 - 450*c - 4823. Let y(p) = 0. What is p?
-10, -3
Solve 6*o**2 - 1/2*o**3 - 23/2*o - 18 = 0 for o.
-1, 4, 9
Factor 73*x + 1615*x**2 - 1635*x**2 - 25*x - 4*x**4 - 24*x**3.
-4*x*(x - 1)*(x + 3)*(x + 4)
Let u be (-1 + 16)*(65/(-585))/((-5)/9). Let n(q) be the first derivative of 21/16*q**2 - 9/8*q - 5/8*q**u + 3/32*q**4 - 7. Factor n(p).
3*(p - 3)*(p - 1)**2/8
Let s(i) be the third derivative of -i**5/180 - 511*i**4/9 - 2088968*i**3/9 - 5180*i**2. What is w in s(w) = 0?
-2044
Factor -4/3*m**5 + 3525440/3*m**2 + 1120/3*m**4 - 106000/3*m**3 + 12459008/3 - 12865280/3*m.
-4*(m - 92)**3*(m - 2)**2/3
Let j(c) be the third derivative of c**7/315 - 23*c**6/180 + 119*c**5/90 + 143*c**4/36 - 3822*c**2. Determine n so that j(n) = 0.
-1, 0, 11, 13
Let f be ((2 - 90/42)*1)/(480/(-112)). Let c(p) be the third derivative of -f*p**6 - 1/210*p**7 + 0*p**4 + 11*p**2 + 0 + 0*p**3 - 1/15*p**5 + 0*p. Factor c(n).
-n**2*(n + 2)**2
Let l be (-11 + -1)*((-7)/(-2) - 3). Let j be -1 + l/(-5 + 3) + 9. Factor -5*d**2 + 4*d + 0*d - j*d + 6 + 2*d**2.
-(d + 3)*(3*d - 2)
Let 46/7*s**4 + 16 - 388/7*s - 262/7*s**3 + 70*s**2 + 2/7*s**5 = 0. What is s?
-28, 1, 2
Let z be 2 - (4 - -2) - -5. Let w be 1*(z - (-1)/1). Factor 4/3*p**w - 4/3*p**4 + 0*p + 4/3*p**3 - 4/3*p**5 + 0.
-4*p**2*(p - 1)*(p + 1)**2/3
Factor -10240/3 - 110*t**2 - 5/3*t**3 - 1920*t.
-5*(t + 2)*(t + 32)**2/3
Let p(l) = 4 + 4 - 3 + 0 - 76*l - 2 - 30*l**2. Let i(c) = 30*c**2 + 73*c - 4. Let r(z) = -7*i(z) - 6*p(z). Factor r(o).
-5*(o + 2)*(6*o - 1)
What is c in 228/7 - 82*c - 6/7*c**4 + 50*c**3 - 446/7*c**2 = 0?
-1, 1/3, 2, 57
Let u(x) be the first derivative of -6*x**2 + 2/3*x**3 + 16*x + 78. Factor u(t).
2*(t - 4)*(t - 2)
Let w(y) be the first derivative of 2*y**6/3 - 8*y**5 + 28*y**4 - 32*y**3 + 312. Solve w(r) = 0.
0, 2, 6
Suppose -4*x + 4 = -13*a + 17*a, 0 = 5*x - 5. Let s(u) be the first derivative of 0*u**3 - 48 + 1/44*u**4 + a*u - 1/22*u**2. Factor s(p).
p*(p - 1)*(p + 1)/11
Let x(q) be the first derivative of -560/3*q**3 - 72 + 8*q**4 - 143*q**2 - 36*q. Determine z so that x(z) = 0.
-1/4, 18
Let s be (1 + -5)*3/(-6). Suppose -s*u = -3*u. Let 2*t - 5/2*t**2 + u + 1/2*t**3 = 0. What is t?
0, 1, 4
Let x(m) be the second derivative of -m**4/21 - 690*m**3/7 + 296*m**2 - 3*m + 2357. Factor x(f).
-4*(f - 1)*(f + 1036)/7
Solve -167947*o**2 - 25246*o - 63172*o - 8640 - 318673*o**2 + 54440*o**2 - 588245*o**3 - 17422*o = 0 for o.
-12/49
Let h(m) be the first derivative of -4*m**3 + 40*m - 11. Let a(q) be the first derivative of -8*q**3/3 + 27*q - 11. Let j(w) = -8*a(w) + 5*h(w). Factor j(r).
4*(r - 2)*(r + 2)
Let u(l) = 3*l**4 + 111*l**3 + 415*l**2 + 514*l + 207. Let i(v) = v**4 + v**3 - 3*v**2 + 3. Let n(z) = -i(z) + u(z). Find j such that n(j) = 0.
-51, -2, -1
Factor -376/5*c**3 + 0*c - 744/5*c**2 - 2/5*c**4 + 0.
-2*c**2*(c + 2)*(c + 186)/5
Let a = 1489 - 1483. Suppose 2*p + g = 4*g + 7, -3*p - g + 5 = 0. Factor -19 + a - 6*n - 2*n**p + 17 + 4*n**2.
2*(n - 2)*(n - 1)
Let b(r) be the third derivative of r**8/6720 - r**6/720 - 13*r**4/12 - 3*r**2 - 9. Let o(w) be the second derivative of b(w). Determine d so that o(d) = 0.
-1, 0, 1
Suppose 102 - 11 = -m - u, -1 = u. Let g = m - -309. What is f in -f**2 - g*f + f**3 + 219*f = 0?
0, 1
Let a(z) be the third derivative of -z**8/5040 - z**7/126 - 7*z**6/60 - 23*z**5/60 - 41*z**2 + 2. Let h(d) be the third derivative of a(d). Factor h(x).
-4*(x + 3)*(x + 7)
Let a(k) = k**3 - 7*k**2 - 18*k + 3. Let p be a(9). Find o, given that -o**3 - 4140*o**2 - 2*o**p + 4146*o**2 + 3*o - 6 = 0.
-1, 1, 2
Let i be (-9 + 8)/(3/(-354)). Suppose 47 + 119*w**2 - 19 + 16*w - i*w**2 = 0. What is w?
-14, -2
Suppose -2*k = -5*p - 0 - 9, -12 = 4*k. Let g(v) = 6*v**2 - 46*v - 4. Let y(u) = -u**2 + 9*u + 1. Let f(m) = p*g(m) - 16*y(m). Suppose f(c) = 0. Calculate c.
-2, -1
Find g, given that -135 - 16*g**2 + 134*g + 0*g**2 + 6*g**2 + 11*g**2 = 0.
-135, 1
Suppose -2*l - 25*i + 20*i = -8552, 4*i = 16. Suppose -9*c - l = -4293. Solve 0 + 3/4*j**3 - c*j + 0*j**2 = 0 for j.
-2, 0, 2
Let n = -10253 - -10259. Let t(b) be the third derivative of -3/10*b**5 + 0 - 4*b**3 - 22*b**2 - 1/40*b**n - 3/2*b**4 + 0*b. Solve t(y) = 0.
-2
Let 14/13*i**4 - 110/13*i**2 + 96/13 - 332/13*i + 332/13*i**3 = 0. What is i?
-24, -1, 2/7, 1
Let v(j) be the second derivative of j**4/6 - 43*j**3/6 - 15*j**2 - 56*j. Let k(h) = -3*h**2 + 87*h + 63. Let i(p) = -5*k(p) - 9*v(p