se -3*g = g + 80. Let m = -16 - g. Determine n so that 5*n**2 - 2*n**5 - 5*n**2 - 2*n**m = 0.
-1, 0
Let n(j) be the first derivative of j**9/9072 - j**8/2520 + j**7/2520 + 3*j**3 - 6. Let a(y) be the third derivative of n(y). Factor a(i).
i**3*(i - 1)**2/3
Let o = 562 + -560. Let s(t) be the first derivative of 0*t - 1/30*t**6 - 1/5*t**o + 1/5*t**5 + 7 + 7/15*t**3 - 9/20*t**4. Factor s(h).
-h*(h - 2)*(h - 1)**3/5
Let n be ((-2 - -11)/(-63))/(1/(-813)). Let s = -116 + n. Factor -1/7*y**5 - 2/7*y**4 + s*y + 0*y**3 + 0 + 2/7*y**2.
-y*(y - 1)*(y + 1)**3/7
Let c(p) = -p - 6. Let t be c(0). Let b be (-2)/t - (-338)/156. Factor -1 - 1/2*n**3 - b*n - 2*n**2.
-(n + 1)**2*(n + 2)/2
Solve -4*f**2 - 8/3 - 2/3*f**3 - 6*f = 0 for f.
-4, -1
Let f(c) be the second derivative of -2*c**7/21 + 2*c**6/15 + 3*c**5/5 - 5*c**4/3 + 4*c**3/3 - 2*c - 4. Find k, given that f(k) = 0.
-2, 0, 1
Let n = 7126 + -21374/3. What is t in -2/3*t + 2/3*t**3 + 4/3*t**2 - n = 0?
-2, -1, 1
Let t(g) be the third derivative of g**8/7056 + g**7/4410 - 8*g**5/15 - 29*g**2. Let k(h) be the third derivative of t(h). Let k(i) = 0. Calculate i.
-2/5, 0
Determine c so that -19*c**2 - c**2 + 517 - 2128*c - 704*c + 68 + 497*c = 0.
-117, 1/4
Let j(f) = f**3 - 12*f**2 + 2*f + 13. Let n be j(12). Factor 13*o**4 - 5*o**5 - n*o**4 + 40*o**2 + 10*o**3 + 10 + 14*o**4 + 35*o.
-5*(o - 2)*(o + 1)**4
Let c(t) = -2*t**2 + 69*t - 34. Let j be c(34). What is m in 0 + 2/3*m**2 + j*m = 0?
0
Let t(n) be the second derivative of n**8/33600 - n**7/1400 + n**6/150 - 2*n**5/75 - 3*n**4/4 + 2*n. Let y(x) be the third derivative of t(x). Factor y(u).
(u - 4)**2*(u - 1)/5
Let x(s) be the third derivative of s**7/140 + s**6/360 - 3*s**5/40 + s**4/12 + s**3/9 - 34*s**2. Find b such that x(b) = 0.
-2, -2/9, 1
Determine v so that 1/2*v**4 - 5/2*v**3 + 0 + 0*v - 25*v**2 = 0.
-5, 0, 10
Let w(b) = -50*b**2 - 34*b - 10. Let r(i) = -23*i**2 - 17*i - 6. Let q(o) = 13*r(o) - 6*w(o). Factor q(m).
(m - 18)*(m + 1)
Let z(k) be the first derivative of 5*k**3/3 - 45*k**2 + 85*k + 269. Determine a so that z(a) = 0.
1, 17
Let c(m) = -m**2 - 13*m - 13. Let d be c(-12). Let x(o) = -o + 1. Let z be x(d). Let z*t - 2*t**2 + t**2 - 4*t**2 - 7*t**3 = 0. Calculate t.
-1, 0, 2/7
Factor -72/11 - 2/11*z**2 + 74/11*z.
-2*(z - 36)*(z - 1)/11
Let w(m) = 2*m**2 - 6*m - 8. Suppose 11 + 1 = -2*o. Let i(p) = 2*p**2 - 7*p - 9. Let z(a) = o*i(a) + 7*w(a). Factor z(j).
2*(j - 1)*(j + 1)
Let g(z) be the first derivative of -z**4/18 + 5*z**3/3 - 12*z**2 - 48*z - 246. Find r, given that g(r) = 0.
-3/2, 12
Let j(k) be the first derivative of -3/2*k**2 + k**3 - 6*k - 3. Factor j(n).
3*(n - 2)*(n + 1)
Let n = -74 + 76. Factor -2951 + 2951 + 4*f - n*f**2.
-2*f*(f - 2)
Let d(x) = -2*x - 21. Let v be d(-12). Factor 0*n**3 - v*n**2 - n**4 + n**5 + 4*n**2 - 4*n**3 + 3*n**3.
n**2*(n - 1)**2*(n + 1)
Let w(j) be the first derivative of -1/4*j**4 + 0*j + 0*j**2 - 4 + 1/6*j**6 - 1/5*j**5 + 1/3*j**3. Let w(u) = 0. What is u?
-1, 0, 1
Let x = 24 + -57. Let g be (x/(-15) - 3)/(12/(-10)). Solve 4/3*a - 2/3 - g*a**2 = 0.
1
Let i(s) be the third derivative of 5*s**8/336 - s**7/14 - 5*s**6/24 + 9*s**5/4 - 20*s**4/3 + 10*s**3 - 222*s**2. Solve i(r) = 0 for r.
-3, 1, 2
Let k = 6 - 3. Let s be (16/k)/(4/6). Solve 23*m**2 + 2*m - 6*m**4 - 5*m - s*m**2 + 3*m**5 - 9*m**2 = 0 for m.
-1, 0, 1
Let u(l) = l**2 + 9*l - 6. Let t be u(-10). Suppose -9 = -t*q + 3. Find x, given that 60*x - 24*x + 0 - q*x**4 + 6*x**2 - 9*x**3 + 24 = 0.
-2, -1, 2
Let k(n) be the first derivative of -n**3 - 15/4*n**4 - 12/5*n**5 + 0*n + 0*n**2 - 14. Let k(l) = 0. Calculate l.
-1, -1/4, 0
Let b(y) be the second derivative of -y**7/126 - y**6/15 + y**5/4 - 2*y**4/9 - 247*y. Factor b(n).
-n**2*(n - 1)**2*(n + 8)/3
Suppose 0 = j + 11 - 13. Let 10*x**2 - 43*x**2 - 79*x**2 - 10*x + 10 + j = 0. Calculate x.
-3/8, 2/7
Let j = -9575 - -9577. Suppose 2/19*v**j - 32/19*v + 128/19 = 0. What is v?
8
Suppose 4*w - 156*w = 0. Suppose 0*z + 5 = z. Solve 10/9*x**z + w + 8/9*x**3 + 0*x + 8/9*x**2 - 26/9*x**4 = 0 for x.
-2/5, 0, 1, 2
Suppose 0 = -38*g + 32*g - 264. Let n be ((-33)/g)/(0 - -1*3). Factor 0*i + 0 + 1/4*i**2 + n*i**3.
i**2*(i + 1)/4
Let m(x) be the second derivative of x**7/21 + 23*x**6/60 - x**5/20 - 97*x**4/24 - 14*x**3/3 + 5*x**2 - 8*x - 2. Determine l, given that m(l) = 0.
-5, -2, -1, 1/4, 2
Let o be -3 + 1 - (1 + -6). Factor 35*y**2 + 14*y**o + 5*y - 80*y**4 + 44*y**3 - 18*y**3.
-5*y*(y - 1)*(4*y + 1)**2
Let m = 290/119 - 39/17. Factor -1/7*h + m*h**2 + 0.
h*(h - 1)/7
Let y(z) be the third derivative of -z**5/180 - 5*z**4/36 - 25*z**3/18 + 197*z**2. Factor y(k).
-(k + 5)**2/3
Let z(f) be the first derivative of 2*f**3/57 - 148*f**2/19 + 10952*f/19 - 165. Factor z(p).
2*(p - 74)**2/19
Let v = -4974 - -4976. Factor 1 - 5/2*d**v + 3/2*d.
-(d - 1)*(5*d + 2)/2
Let i(y) be the second derivative of -y**6/810 - 7*y**5/270 - 5*y**4/27 + y**3 - 3*y**2/2 - 2*y - 32. Let k(r) be the second derivative of i(r). Factor k(c).
-4*(c + 2)*(c + 5)/9
Find j such that 25*j**2 - 3*j**2 + 50*j - 18 - 2*j**3 + 26 + 18 = 0.
-1, 13
Let x(w) = -2*w**3 - 51*w**2 - 294*w - 704. Let v(r) = -r**2 - 2. Let y(l) = -18*v(l) + 2*x(l). Factor y(b).
-4*(b + 7)**3
Let t(j) = -j**4 - 25*j**3 + 93*j**2 - 168*j + 108. Let d(f) = -24*f**3 + 92*f**2 - 166*f + 108. Let k(o) = 3*d(o) - 2*t(o). Solve k(i) = 0.
2, 3
Let j(w) be the first derivative of -2*w**3/15 - 3*w**2/5 - 4*w/5 - 85. Find o, given that j(o) = 0.
-2, -1
Let o(z) be the third derivative of 1/6*z**4 + 0 - 25*z**2 + 0*z + 0*z**3 - 1/45*z**5. Factor o(i).
-4*i*(i - 3)/3
Let p(d) be the third derivative of -d**5/210 + d**4/3 + d**2 + 48*d. Factor p(b).
-2*b*(b - 28)/7
Let h = 10 + -6. Factor -4*w**h - 2*w**5 + 30*w**2 - 55*w**2 + 25*w**2 - 2*w**3.
-2*w**3*(w + 1)**2
Let r = 25 - 22. Factor r*g**2 - 4*g**2 + 16 + 3*g**2 + 8*g - g**2.
(g + 4)**2
Solve 2*m - 5/2*m**3 + 1/2*m**5 + 3/2*m**2 + 0 - 3/2*m**4 = 0 for m.
-1, 0, 1, 4
Suppose b + 32*q - 7 = 27*q, q = 5*b - 9. Let 6/5*w - 2/5*w**4 + 2/5*w**b - 6/5*w**3 + 0 = 0. Calculate w.
-3, -1, 0, 1
Let p(y) be the third derivative of -y**7/42 + y**6/6 + 19*y**5/12 + 35*y**4/12 - 72*y**2 - y. Solve p(a) = 0.
-2, -1, 0, 7
Let y(v) = -18*v**2 + 66*v + 26. Let j be y(4). Find b, given that -2/5*b**4 + 0 - 2/5*b + 2/5*b**3 + 2/5*b**j = 0.
-1, 0, 1
Let w(n) be the third derivative of 1/63*n**3 - 11*n**2 - 1/84*n**4 + 0 + 1/420*n**6 - 1/630*n**5 + 0*n. Factor w(z).
2*(z - 1)*(z + 1)*(3*z - 1)/21
Suppose 13 = 4*y - 7. Find h such that -4*h**4 + y*h**5 - h**5 - 3*h**5 = 0.
0, 4
Let g(v) be the third derivative of -v**5/130 + 25*v**4/39 - 11*v**3/13 + 68*v**2. Factor g(z).
-2*(z - 33)*(3*z - 1)/13
Let x(s) = 19849*s**2 + 1272*s + 24. Let o(h) = 79395*h**2 + 5085*h + 95. Let k(q) = -4*o(q) + 15*x(q). Determine t so that k(t) = 0.
-2/63
Let h(o) = o**2 + 3*o - 1. Let l(c) = -3*c**2 + 523*c + 327. Let n(y) = 9*h(y) - l(y). Factor n(q).
4*(q - 42)*(3*q + 2)
Let g = 241/2 + -115. Solve -4*b + 35/2*b**5 + 0 + g*b**4 - 45*b**3 + 26*b**2 = 0.
-2, 0, 2/7, 2/5, 1
Let k(i) be the first derivative of -2*i**5/25 - 13*i**4/10 - 38*i**3/5 - 99*i**2/5 - 108*i/5 - 305. Suppose k(c) = 0. Calculate c.
-6, -3, -1
Let n(c) be the first derivative of c**4/4 + 20*c**3/3 - 43*c**2/2 + 22*c - 232. Factor n(k).
(k - 1)**2*(k + 22)
Let n(t) be the first derivative of -t**3 + 99*t**2/2 - 96*t + 233. Factor n(i).
-3*(i - 32)*(i - 1)
Suppose -89042/17 + 844/17*u - 2/17*u**2 = 0. Calculate u.
211
Let a(y) be the third derivative of y**5/20 - 11*y**4/8 - 6*y**3 - 6*y**2 + 4*y. Let a(k) = 0. What is k?
-1, 12
Factor -360 - 4*i + 9*i**2 + 26*i**2 + 33*i**2 - 64*i**2.
4*(i - 10)*(i + 9)
Let q = 103316/3 - 654641/19. Let t = q + 49/3. Determine w so that -2/19*w**5 + t*w**2 - 4/19*w**4 + 0 + 0*w**3 + 2/19*w = 0.
-1, 0, 1
Let c(l) be the first derivative of -4/5*l**5 + 80*l**2 - 5 - 64*l + 10*l**4 - 44*l**3. Factor c(x).
-4*(x - 4)**2*(x - 1)**2
Let m = -3591 + 53867/15. What is t in -10/3 - m*t**2 + 4/3*t = 0?
5
Let t(m) be the third derivative of 0*m**3 - 4*m**2 + 0 + 1/12*m**5 - 5/6*m**4 + 0*m. Factor t(v).
5*v*(v - 4)
Let a(m) be the second derivative of -m**5/20 + m**4/2 + 5*m**3/2 - 2*m**2 - 7*m. Let h(p) be the first derivative of a(p). Factor h(c).
-3*(c - 5)*(c + 1)
Let x be (-57)/(-1