k) be the second derivative of -3/4*k**4 + 6*k**2 - 1/10*k**6 - 3/4*k**5 - 87*k + 5/2*k**3 + 0. Determine r, given that v(r) = 0.
-4, -1, 1
Let s be 4/(-6) + ((-4)/8 - (-171)/54). Suppose -s*g + 1/2*g**4 - 2*g**3 + 1/2 + 3*g**2 = 0. Calculate g.
1
Let f(d) be the first derivative of 2305205*d**4/4 - 1541330*d**3 + 13590*d**2 - 40*d + 10171. Factor f(t).
5*(t - 2)*(679*t - 2)**2
Let p(w) be the third derivative of 9*w**8/16 + 19*w**7/14 - 153*w**6/5 - 159*w**5/5 - 10*w**4 + 2616*w**2 + 1. Determine v so that p(v) = 0.
-5, -2/7, -2/9, 0, 4
Let c(b) be the third derivative of -b**5/60 + 107*b**4/24 + 55*b**3 + 697*b**2. What is d in c(d) = 0?
-3, 110
Let n = -6 - -8. Suppose -70 = -3*c + j, 4*j = n*c - 69 + 19. Factor 12*q + 8*q**3 - 2*q**3 - 25 - c - 21*q**2 + 60.
3*(q - 2)**2*(2*q + 1)
Factor 134 + 51*u**3 + 226 - 80*u**2 + 95*u**3 - 148*u**3 - 278*u.
-2*(u - 1)*(u + 5)*(u + 36)
Factor 2*s**3 + 6*s + 775 + 651 - 5*s + 146*s**2 - 1572 - 3*s.
2*(s - 1)*(s + 1)*(s + 73)
Let p(b) = 9*b**2 - 566*b - 79536. Let q(i) = -50*i**2 + 2831*i + 397686. Let f(o) = 22*p(o) + 4*q(o). Factor f(s).
-2*(s + 282)**2
Let q be (-272)/10*(-1 + -4). Let z be q/85 + (-1)/(-5)*2. Let 5*i**3 - 3*i - 3*i**3 - z - 2*i**3 + i**3 = 0. What is i?
-1, 2
Let 24*s**2 + 16*s**3 + 25 + 8*s - 60*s**3 + 49*s + 5 + 41*s**3 = 0. Calculate s.
-1, 10
Let q(u) = -47*u**3 - 825*u**2 - 5499*u - 9989. Let c(a) = 9*a**3 + 165*a**2 + 1098*a + 1998. Let v(w) = 11*c(w) + 2*q(w). Factor v(o).
5*(o + 4)**2*(o + 25)
Let s = -458036 + 1374112/3. Find v such that s*v**2 - 16/9*v**3 - 2/3*v**4 + 8/9*v**5 + 8/9*v - 2/3 = 0.
-1, 3/4, 1
Let o = -6474107/615 + 10527. Let x = 956/205 - o. Factor 0 + x*i**4 + 4/3*i**2 - 6*i**3 + 0*i.
2*i**2*(i - 1)*(7*i - 2)/3
Let q(n) be the third derivative of 2*n**3 + 0*n + 14*n**2 + 1/30*n**6 + 9/40*n**5 + 0 + 1/4*n**4. Let s(a) be the first derivative of q(a). Factor s(o).
3*(o + 2)*(4*o + 1)
Let b(x) be the second derivative of x**4/20 - 211*x**3/5 + 14*x + 52. Factor b(j).
3*j*(j - 422)/5
Factor 2/9*x**2 + 6050/9 - 220/9*x.
2*(x - 55)**2/9
Let o(q) be the third derivative of 6*q**7/175 - 283*q**6/50 + 3481*q**5/75 + 521*q**4/6 + 60*q**3 + 1653*q**2. Find n, given that o(n) = 0.
-1/3, 5, 90
Suppose 67*f - 1979/2*f**2 - 905/2*f**4 + 132 - 7/2*f**5 + 2493/2*f**3 = 0. What is f?
-132, -2/7, 1
Let h(w) = -w + 10. Let y be h(1). Suppose 0 = 2*i + z - y, z - 2*z = 3*i - 11. Factor 2/9*u**i + 2/3 - 8/9*u.
2*(u - 3)*(u - 1)/9
Suppose -11*q + 73 = 29. Suppose -25*o**5 + 906 - 100*o - 906 + 60*o**2 + 395*o**3 + 210*o**q = 0. What is o?
-1, 0, 2/5, 10
Let b(d) = -17*d**2 + 45*d + 46. Let n(h) = 11*h**2 - 30*h - 31. Let y(u) = -u + 14. Let a be y(9). Let f(m) = a*b(m) + 8*n(m). What is s in f(s) = 0?
-1, 6
Let v be (-2)/1689*(-51 - -63). Let s = 990/9571 - v. Determine a so that 0 - s*a**2 + 0*a + 2/17*a**5 - 6/17*a**4 + 6/17*a**3 = 0.
0, 1
Determine s, given that 3334*s**3 + 172678 + 3359*s**3 + 2854973*s + 4822*s**2 + 461260 - 6684*s**3 + 5314*s**2 = 0.
-563, -2/9
Factor -888 - 4039*w**2 - 891*w + 2019*w**2 + 2017*w**2.
-3*(w + 1)*(w + 296)
Let c(s) be the third derivative of -s**10/226800 - s**9/22680 - s**8/10080 + 33*s**5/20 - 137*s**2. Let t(f) be the third derivative of c(f). Factor t(j).
-2*j**2*(j + 1)*(j + 3)/3
Suppose 0 + 50/3*z + 2/9*z**3 - 40/9*z**2 = 0. Calculate z.
0, 5, 15
Let w be (-3)/2*(-16)/12. Let u = -3196790/91 - -245908/7. Factor -2/13*y**4 + 0*y - u*y**5 + 0 + 0*y**3 + 0*y**w.
-2*y**4*(y + 1)/13
Factor -205*n + 9*n**2 - 5040 - 13*n**2 - 87*n + 0*n**2.
-4*(n + 28)*(n + 45)
Let v(x) be the first derivative of -x**6/11 - 76*x**5/11 - 1566*x**4/11 - 2604*x**3/11 - 961*x**2/11 + 2130. Let v(d) = 0. Calculate d.
-31, -1, -1/3, 0
Let q(t) be the second derivative of -t**5/4 + 10025*t**4/12 - 5020015*t**3/6 - 5030045*t**2/2 + t + 660. Find j, given that q(j) = 0.
-1, 1003
Let 46973*x**3 - 23485*x**3 - 528*x - 23490*x**3 - 82*x**2 = 0. What is x?
-33, -8, 0
Let 73224 - 1583*q**3 - 63466*q**2 + 97144 + q**5 - 15646*q**2 - 117584*q + 20784*q + 7257*q**3 - 131*q**4 = 0. Calculate q.
-2, 1, 44
Let o be (-7 - 1395/(-153)) + (-4)/34. Suppose -85*a**2 - 74*a**o + 155*a**2 + 32*a - 60 = 0. What is a?
3, 5
Let -2035 - 913*c**2 + 2256 - 555*c**2 - 4*c**3 + 5920*c - 6157 = 0. What is c?
-371, 2
Factor -88 - 24/5*m + 2/5*m**2.
2*(m - 22)*(m + 10)/5
Suppose 357*n - 888 = 61*n. Let z(l) be the second derivative of 1/10*l**5 + 1/6*l**4 - 2/3*l**n - 14*l + 0*l**2 + 0. Factor z(t).
2*t*(t - 1)*(t + 2)
Let t(i) be the second derivative of -1/8*i**4 + 3/40*i**5 - 1/4*i**3 + 0 - 27*i + 3/4*i**2. Solve t(r) = 0.
-1, 1
Let v be (3/(-15))/((-5)/10225). Let u = -404 + v. Factor 2/13 + 20/13*f**2 - 20/13*f**3 - 2/13*f**u + 10/13*f**4 - 10/13*f.
-2*(f - 1)**5/13
Solve 280/17 + 66/17*x - 4/17*x**2 = 0.
-7/2, 20
Suppose 4*y + 0*y - 3*j - 12 = 0, -j - 8 = -2*y. Suppose y*w = -31 + 73. Let -3*z**2 + z + 0*z**2 - w*z = 0. What is z?
-2, 0
Let i = -10 - -6. Let a be 0 + 3*i/(-12). Solve -5 - 5*h**3 - a + 9*h + 2*h**3 + 0*h**3 = 0 for h.
-2, 1
Suppose 29*c = 28*c + 72. Suppose -77*o**5 + 14*o**4 + 21*o**4 + c*o**5 + 100*o**2 - 40*o - 90*o**3 = 0. What is o?
0, 1, 2
Suppose 250*u - 17/2*u**3 - 1/2*u**4 + 500 - 15*u**2 = 0. Calculate u.
-10, -2, 5
Suppose 151*x + 5406 - 5708 = 0. Factor 10/7 + 2/7*w**x - 12/7*w.
2*(w - 5)*(w - 1)/7
Let n = -243 + 246. Suppose 2*i**4 + 2*i**4 - 3130 - 16*i**n + 3130 = 0. What is i?
0, 4
Suppose -15*t + 275 = -4*t. Let j = 29 - t. Suppose -5*s**2 - 4*s + 21*s**3 + j*s - s**2 + 6*s**4 - 21*s**5 = 0. What is s?
-1, 0, 2/7, 1
Let q(s) be the first derivative of 3/2*s**2 + 23/21*s**3 - 2/7*s - 138. Find z such that q(z) = 0.
-1, 2/23
Let z(c) be the first derivative of 5/16*c**4 - 5/6*c**6 + 0*c + 3/4*c**5 + 0*c**3 + 0*c**2 - 40. Factor z(h).
-5*h**3*(h - 1)*(4*h + 1)/4
Let s(k) be the first derivative of 0*k + 5/4*k**2 - k**3 + 57 + 1/8*k**4. Let s(f) = 0. What is f?
0, 1, 5
Let l(k) be the first derivative of 2*k**3/9 - 4364*k**2/3 + 9522248*k/3 - 7145. Solve l(r) = 0.
2182
Let r(g) be the second derivative of -17/42*g**4 - 1 + 44/21*g**3 - 71*g - 4*g**2 + 1/70*g**5. Factor r(p).
2*(p - 14)*(p - 2)*(p - 1)/7
Let p = -690 - -685. Let v(k) = -k**3 - 7*k**2 - 9*k + 10. Let j be v(p). Factor 1/2*h + 0 + 9/2*h**3 - 5/2*h**2 + h**j - 7/2*h**4.
h*(h - 1)**3*(2*h - 1)/2
Let l(o) be the second derivative of -9 + 20/3*o**3 + o - 23/3*o**4 + o**5 + 16*o**2. Factor l(z).
4*(z - 4)*(z - 1)*(5*z + 2)
Let b be (-23 + 28)*(-11)/((-440)/24). Factor -2 + 1/2*g**4 - 1/2*g**2 + 1/2*g**5 + 4*g - 5/2*g**b.
(g - 1)**3*(g + 2)**2/2
Let v(h) be the third derivative of h**5/40 - 13*h**4/16 - 12*h**3 + 1403*h**2. Determine r, given that v(r) = 0.
-3, 16
Let z = -782 - -802. Let k be -4 - (-9 + 85/z). Factor -k*m**3 + 1/4 - 5/4*m + 7/4*m**2.
-(m - 1)**2*(3*m - 1)/4
Suppose 0 = 121*v - 55*v. Let c(u) be the first derivative of -1/10*u**2 + 1/15*u**3 + 9 + v*u. Find b such that c(b) = 0.
0, 1
Suppose 3*w = -3*g + 12 - 9, 10 = -5*w. Let r(a) be the first derivative of -1/12*a**4 + 1/9*a**g + 1/18*a**6 + 0*a - 1/15*a**5 - 13 + 0*a**2. Factor r(c).
c**2*(c - 1)**2*(c + 1)/3
Let n(i) be the second derivative of -i**4/54 + 7*i**3/9 + 352*i**2/9 - 6467*i. Factor n(o).
-2*(o - 32)*(o + 11)/9
Let c = 14819176341/1690 + -8768743. Let o = c - -1/338. Factor -2/5*y + o*y**3 - 4/5 + 4/5*y**2.
2*(y - 1)*(y + 1)*(y + 2)/5
Let t = 102784/9 - 11420. Suppose t*x**2 + 4/9*x - 8/9 = 0. What is x?
-2, 1
Let p(l) be the first derivative of l**3 - 129*l**2/2 - 270*l - 608. Factor p(w).
3*(w - 45)*(w + 2)
Factor -2 - 92/9*a - 10/9*a**2.
-2*(a + 9)*(5*a + 1)/9
Suppose 2*s - 334 = s + 4*b, -5*s + 3*b = -1585. Let i = 314 - s. Determine j so that -3/4*j**3 + 0 + i*j + 0*j**2 - 3/4*j**4 = 0.
-1, 0
Let n(h) = -76*h - 2*h**2 + 8*h**2 - 357 - 37*h + 848. Let a(g) = -9*g**2 + 170*g - 737. Let d(k) = 5*a(k) + 8*n(k). Factor d(s).
3*(s - 9)**2
Let w(o) be the second derivative of -7 + 0*o**2 + 23/20*o**5 + 2/15*o**6 - 1/2*o**4 + 3*o + 0*o**3. Factor w(l).
l**2*(l + 6)*(4*l - 1)
Let q(f) be the second derivative of -5/3*f**3 + 0 + 5/12*f**4 - 15/2*f**2 - 40*f. Suppose q(c) = 0. What is c?
-1, 3
Let t be (-9 - 211)*(-2)/(-5). Let c be t/(-46) - 2 - (-213)/69. Factor 0 - 2/5*q**2 + 6/25*q + 2/25*q**c + 2/25*q**4.
2*q*(q - 1)**2