et f(u) be the first derivative of 0*u - 2/5*u**5 - u**4 - 4 + 2*u**3 + 0*u**2. Determine m, given that f(m) = 0.
-3, 0, 1
Let c(g) be the third derivative of g**8/840 + 8*g**7/525 + g**6/50 - 4*g**5/75 - 7*g**4/60 - g**2 + 80. Suppose c(p) = 0. Calculate p.
-7, -1, 0, 1
Let t = 5474 - 5471. Find i, given that 0 + 1/4*i**5 + 5/4*i**4 + 0*i + 3/4*i**2 + 7/4*i**t = 0.
-3, -1, 0
Let f(n) = -18*n**4 + 17*n**3 + 19*n**2 - n - 9. Let g(x) = 12*x**4 - 11*x**3 - 13*x**2 + x + 6. Let d(b) = 5*f(b) + 8*g(b). Factor d(a).
3*(a - 1)**2*(a + 1)*(2*a + 1)
Let i(t) be the first derivative of -5*t**4/4 - 10*t**3 - 25*t**2/2 + 60*t - 230. Find z such that i(z) = 0.
-4, -3, 1
Let u(b) = b**5 - 13*b**4 - 85*b**3 - 239*b**2 - 312*b - 146. Let v(r) = r**5 + r**4 + r**3 + r**2 - 1. Let t(l) = -u(l) + 2*v(l). Factor t(m).
(m + 1)*(m + 3)**2*(m + 4)**2
Let q(h) = -h**2 + 2*h + 1. Let n(j) = -12*j**2 - 244*j - 162. Let d(b) = -n(b) + 6*q(b). Find i, given that d(i) = 0.
-42, -2/3
Factor 3 + 6 + 0 - 6*g**2 - 1 + 2*g**3.
2*(g - 2)**2*(g + 1)
Let h = 189/8 + -1315/56. Suppose -h*g**2 + 0 + 2/7*g = 0. What is g?
0, 2
Let p(u) be the first derivative of 2*u**2 + 20 - 2/9*u**3 - 10/3*u. Determine s so that p(s) = 0.
1, 5
Let d(g) be the second derivative of -2*g**2 - 97/12*g**4 + g + 25/42*g**7 + 0 + 16/3*g**3 - 19/6*g**6 + 139/20*g**5. Find j such that d(j) = 0.
2/5, 1
Let h(p) be the third derivative of -p**11/55440 + p**10/50400 + p**9/20160 - 7*p**5/12 - 23*p**2. Let i(n) be the third derivative of h(n). Factor i(a).
-3*a**3*(a - 1)*(2*a + 1)
Let n(b) be the first derivative of b**5/20 + 55*b**4/16 - 14*b**3/3 - 359. Suppose n(m) = 0. What is m?
-56, 0, 1
Let x be (6/4)/(2 - (-21)/(-14)). Find h such that 0 + 2/3*h**x - 4/3*h**2 + 0*h + 2/3*h**4 = 0.
-2, 0, 1
Let i(p) be the third derivative of 3*p**6/40 + 11*p**5/20 - 19*p**4/8 + 5*p**3/2 - p**2 + 39*p. Determine k, given that i(k) = 0.
-5, 1/3, 1
Let g(m) be the third derivative of 0*m**3 + 2/9*m**4 + 0*m - 1/30*m**6 + 0 + 4*m**2 - 4/45*m**5. Factor g(n).
-4*n*(n + 2)*(3*n - 2)/3
Find q, given that 860*q - 3*q**4 + 300*q**3 + 72 + 227*q**2 + 8*q**4 + 213 + 489*q**2 + 154*q**2 = 0.
-57, -1
Let p(y) be the second derivative of -2*y**6/15 + 8*y**5/5 - 11*y**4/3 - 64*y**3/3 + 120*y**2 + 2*y + 464. What is u in p(u) = 0?
-2, 2, 3, 5
Suppose 17*g - 18*g + 3 = 0. Suppose -5*u**4 - g*u**4 - 13*u**5 + 17*u**5 = 0. Calculate u.
0, 2
Suppose -39*j + 72 = -36*j. Let l = j + -22. Factor -l - 5*v - v**2 + 4 + 4*v.
-(v - 1)*(v + 2)
Let m = -18341/13 + 1411. Factor 4/13*q**3 + 2/13 - m*q + 2/13*q**4 - 2/13*q**5 - 4/13*q**2.
-2*(q - 1)**3*(q + 1)**2/13
Let l be 3/(-1) + 0 + 6. Suppose 16 - 6*x**2 + x**3 + 2*x**l - 16 = 0. What is x?
0, 2
Let j(q) be the second derivative of -q**7/210 + q**6/15 - 9*q**5/25 + 14*q**4/15 - 16*q**3/15 + 106*q. Factor j(f).
-f*(f - 4)*(f - 2)**3/5
Let z(l) be the second derivative of 0 + 15/2*l**2 - l + 3*l**3 + 1/4*l**4. Factor z(k).
3*(k + 1)*(k + 5)
Let k be (44/110)/(-1 - (-22)/20). Factor -5*y - k*y + 5*y + 10*y + y**2 - 7.
(y - 1)*(y + 7)
Let h(j) be the first derivative of 2*j**3/15 + 13*j**2/5 + 44*j/5 + 67. Suppose h(r) = 0. Calculate r.
-11, -2
Let v(h) be the first derivative of -3/10*h**5 + 0*h**2 + 9/8*h**4 + 8 + 0*h + 0*h**3. Factor v(j).
-3*j**3*(j - 3)/2
Let g(b) be the second derivative of 23*b + 5/6*b**7 + 0 - 5/2*b**3 - b**5 + 5*b**2 - 35/6*b**4 + 2*b**6. Solve g(c) = 0.
-1, 2/7, 1
Let t be ((-114)/60 - -2)*3/9. Let m(i) be the first derivative of 0*i**2 + 2 - t*i**4 + 2/45*i**3 + 0*i. Suppose m(o) = 0. What is o?
0, 1
Let s(h) be the second derivative of h**6/195 + h**5/130 - 11*h**4/26 + 59*h**3/39 - 28*h**2/13 - 9*h + 9. Find x, given that s(x) = 0.
-7, 1, 4
Let f(w) = 2*w - 13. Suppose -6 = -4*c - 5*z + 16, z = -2*c + 14. Let h be f(c). Let 3/2*s**2 - 3/2*s - h = 0. Calculate s.
-1, 2
Let g = -93 + 102. Suppose w - g = -7. What is f in -1/3*f**4 - 1/3*f**3 + 1/3*f**w + 1/3*f + 0 = 0?
-1, 0, 1
Factor 1/5*w**2 + 3/5*w - 2.
(w - 2)*(w + 5)/5
Let y be (0 - 5/(-4 - -14))*0. Let l(m) be the third derivative of y*m**3 + 1/360*m**6 + 0*m**5 + 4*m**2 + 0 + 0*m + 0*m**4. Find i, given that l(i) = 0.
0
Let q(z) be the third derivative of -1/240*z**5 - 1/48*z**3 + 1/64*z**4 + 0*z + 0 + 23*z**2. Find m, given that q(m) = 0.
1/2, 1
Let m = 13 - 10. Let 13*j + 10 - 2 + 10*j + 2*j**m - 7*j + 10*j**2 = 0. What is j?
-2, -1
Suppose 46*l + 8 = 48*l. Let b be ((-6)/l)/(91/14 - 8). Determine w, given that -5/2*w - 1/2*w**3 + b + 2*w**2 = 0.
1, 2
Let k be (-2 - (-48)/27)*-9. Let x = -126 + 1390/11. Let -4/11*g**5 - x*g + 8/11*g**3 + 6/11*g**4 - 6/11*g**k + 0 = 0. Calculate g.
-1, -1/2, 0, 1, 2
Let p = 301/5 - 4811/80. Let h(d) be the first derivative of -1/24*d**3 + p*d**2 + 1/4*d + 5. Let h(f) = 0. Calculate f.
-1, 2
Find z, given that -48*z - 124*z**3 - 198*z**2 + 16496*z**4 - 10*z**2 - 16216*z**4 + 100*z**5 = 0.
-3, -2/5, 0, 1
Suppose 59*j - 19*j = 33*j. Let w = -5 + 7. Factor -1/4*f**w + 1/2*f**3 + 0 + j*f - 1/4*f**4.
-f**2*(f - 1)**2/4
Let w = 2096 - 33525/16. Let m = w - 3/16. Let m*a**3 + 5/2*a + 1 + 2*a**2 = 0. Calculate a.
-2, -1
Let g be 1566/5814 - 8/136. Solve -6/19*t**4 + 8/19*t**3 + 2/19*t**2 - g*t + 0 = 0.
-2/3, 0, 1
Let l(w) be the third derivative of w**8/1344 - w**7/504 - w**6/144 + w**5/24 - 2*w**4/3 - 19*w**2. Let u(y) be the second derivative of l(y). Factor u(m).
5*(m - 1)**2*(m + 1)
Let s = -46 - -84. Factor s + 39*g**4 - 43*g**4 - 132*g**2 - 160*g - 102 - 25*g**3 - 15*g**3.
-4*(g + 1)**2*(g + 4)**2
Let b(r) = 3*r - 50. Let n be b(18). Suppose d = n*d. What is l in 0*l**2 + l**5 + d*l + 1/3*l**3 + 4/3*l**4 + 0 = 0?
-1, -1/3, 0
Let a = 19389 + -19387. Factor 12/7 + 4/7*f**4 + 48/7*f**a - 24/7*f**3 - 40/7*f.
4*(f - 3)*(f - 1)**3/7
Let b(p) be the first derivative of -p**4/4 + 7*p**3/3 - 3*p**2 + 2*p - 2. Let r be b(6). Factor 12 + 0*k**2 - 2*k**2 - k**r.
-3*(k - 2)*(k + 2)
Let f(q) be the second derivative of -q**4/36 + 25*q**3/18 - 23*q**2/3 - 44*q + 2. Factor f(h).
-(h - 23)*(h - 2)/3
Suppose 166*n - 180*n = -70. Let v be (-3)/12 + (-2)/(-8). Factor 3/4*i**4 + 0*i + v - 3/4*i**n + 3/4*i**3 - 3/4*i**2.
-3*i**2*(i - 1)**2*(i + 1)/4
Let d be (-14)/(-2)*(-2)/(0 - 2). Suppose 8 + d = 5*m. What is i in 0 - 4/5*i**m - 2/5*i - 1/5*i**4 - i**2 = 0?
-2, -1, 0
Let y(b) be the second derivative of -b**5/12 + 13*b**4/36 + 13*b**3/9 + 4*b**2/3 - 143*b. Find u such that y(u) = 0.
-1, -2/5, 4
Let a = -54 + 96. Let f be a/(-63) + (-13)/(-6). Factor 3/2*u**3 + 0*u - 3/2*u**2 - f*u**5 + 0 + 3/2*u**4.
-3*u**2*(u - 1)**2*(u + 1)/2
Factor -36*t + 3/5*t**2 + 540.
3*(t - 30)**2/5
Factor -3/10 + 1/5*p + 1/10*p**2.
(p - 1)*(p + 3)/10
Suppose -112/5*f**2 - 32/5*f**3 - 6/5 - 10*f = 0. What is f?
-3, -1/4
Let y be (6/51)/(36/153). Find h, given that y*h + 1/6*h**2 + 1/3 = 0.
-2, -1
Let i(m) be the first derivative of 0*m**2 - 1/450*m**6 + 3 + 0*m**4 + 2/3*m**3 + 1/300*m**5 + 0*m. Let g(u) be the third derivative of i(u). Factor g(z).
-2*z*(2*z - 1)/5
Let h(c) be the first derivative of 11 - 8*c - 2*c**2 - c**2 - c**2 + 10*c**2 - c**4. Factor h(g).
-4*(g - 1)**2*(g + 2)
Factor -4*c**3 + 2*c**2 + 49*c**4 - 101*c**4 + 54*c**4.
2*c**2*(c - 1)**2
Let f(q) = 5*q**2 - 92*q + 1346. Let m(o) = -44*o**2 + 832*o - 12116. Let t(z) = -52*f(z) - 6*m(z). Factor t(p).
4*(p - 26)**2
Let b(h) = h**3 - 6*h**2 + 4*h. Let t be b(6). Let i be (-4)/(-6) + 128/t. Determine n, given that 333*n**2 - 337*n**2 + i - 2 = 0.
-1, 1
Let g = 35 + -33. Factor g*m**2 + 3*m - 12 + 0*m**2 - m.
2*(m - 2)*(m + 3)
Let y(i) = -5*i**5 + 2*i**4 + i**3 - 2*i. Let z(w) = 51*w**5 - 21*w**4 - 9*w**3 + 21*w. Let a = 36 - 15. Let s(u) = a*y(u) + 2*z(u). Factor s(n).
-3*n**3*(n - 1)*(n + 1)
Let c(h) be the second derivative of 4*h**3 + 0 + 1/6*h**4 + 7*h + 36*h**2. Factor c(v).
2*(v + 6)**2
Let k = 1001 + -5002/5. Factor 507/5 + k*m**2 - 78/5*m.
3*(m - 13)**2/5
Let v(g) be the third derivative of g**6/80 + g**5/10 - 19*g**4/16 + 7*g**3/2 - 196*g**2 - 2*g. Suppose v(d) = 0. Calculate d.
-7, 1, 2
Let k be 858/572*3/(27/4). Suppose 0*w + 0 - k*w**3 + 6*w**2 = 0. Calculate w.
0, 9
Let h(g) = 66*g**2 - 27. Let o(d) = 264*d**2 - 108. Let q(v) = 15*h(v) - 4*o(v). Let y(r) = -5*r**2 + 2. Let w(i) = 2*q(i) - 27*y(i). Solve w(c) = 0 for c.
0
Let v(z) = -5*z**4 + 15