3/3 - 11*o**2 + 84. Solve j(n) = 0 for n.
-1, 3/8, 1
Let -932*f**3 + 388*f**2 - 192*f - 964*f**3 + 1888*f**3 = 0. What is f?
0, 1/2, 48
Let o(u) = 3*u**3 + 34*u**2 - 24*u. Let a = -531 + 536. Let g(d) = 2*d**3 + 21*d**2 - 16*d. Let h(z) = a*o(z) - 8*g(z). Factor h(n).
-n*(n - 4)*(n + 2)
Let c(n) be the first derivative of 11*n**6/2 + 234*n**5/5 + 129*n**4 + 158*n**3 + 171*n**2/2 + 12*n + 5897. Solve c(d) = 0 for d.
-4, -1, -1/11
Let m(v) be the second derivative of 1/21*v**7 + 0*v**2 - 5 + 1/10*v**5 - 9*v - 2/3*v**3 - 1/5*v**6 + 1/2*v**4. Solve m(s) = 0.
-1, 0, 1, 2
Let a = -16182 - -16185. Let 0 - 9*h + h**a + 45/2*h**2 - 5/2*h**4 = 0. Calculate h.
-3, 0, 2/5, 3
Let k be -2 + 12/7 - (-15820)/16611. Let 0 + 32/3*c + k*c**3 + 16/3*c**2 = 0. What is c?
-4, 0
Let k be (-7)/(-63) + 240/27 - 4. Suppose 102*d + k = 104*d - c, -5*d = c - 9. Factor 1/2*o**4 + 0*o**d + 0*o + 0 - 3/2*o**3.
o**3*(o - 3)/2
Suppose 3*a - 820 = -5*m, 5*m + a = 4*a + 850. Suppose -33*q + m*q - 5*q**2 - 845 - 4*q = 0. What is q?
13
Let t(u) be the third derivative of 0 - 8/15*u**5 - 2*u**2 - 1/3*u**4 + 29*u + 2/3*u**3. Factor t(q).
-4*(2*q + 1)*(4*q - 1)
Let z be (3 + (-350)/60)/(6/(-1396)). Let b = z + -659. Suppose -16/9*o - 2/3 - 4/3*o**2 + b*o**4 + 0*o**3 = 0. What is o?
-1, 3
Let m(k) be the first derivative of -k**6/3 - 134*k**5/5 - 1015*k**4/2 + 7342*k**3/3 - 280*k**2 - 9800*k + 145. Suppose m(r) = 0. Calculate r.
-35, -1, 2
Let p(d) = 7*d**2 - 739*d - 207. Let a(r) = 9*r**2 - 740*r - 276. Let g(h) = -3*a(h) + 4*p(h). Determine i, given that g(i) = 0.
0, 736
Let w(v) be the third derivative of v**8/6300 + 19*v**7/6300 - v**6/180 + 71*v**5/60 + 18*v**2. Let s(k) be the third derivative of w(k). Solve s(l) = 0 for l.
-5, 1/4
Factor 686/3*c - 784/3 - 2/3*c**3 + 100/3*c**2.
-2*(c - 56)*(c - 1)*(c + 7)/3
Suppose -3 = -2*i + s, 4*i + 35*s = 33*s + 10. Factor -1/10*l**3 + 1/5*l**i + 3/10*l + 0.
-l*(l - 3)*(l + 1)/10
Suppose 2*z = -168 - 1020. Let b be (-405)/z + (-1)/2. Find m, given that 4/11*m**2 - b*m**3 - 2/11*m + 0 = 0.
0, 1
Let v(w) be the third derivative of 1/15*w**6 + 0*w - 2*w**2 - 2/3*w**3 + 1/30*w**5 - 1/336*w**8 - 17 - 7/24*w**4 + 1/105*w**7. Solve v(t) = 0.
-1, 1, 4
Suppose -g - 5*a = 20 - 23, 12 = 4*g + 2*a. Let y = -86 - -432/5. Let y - 8/5*n**g - 8/5*n + 2/5*n**4 + 12/5*n**2 = 0. What is n?
1
Let y(u) = u**3 - 5*u**2 - 988*u - 55. Let s be y(-29). Factor -g**2 + 1/3*g**5 + g**4 + 1/3*g**s - 2/3*g + 0.
g*(g - 1)*(g + 1)**2*(g + 2)/3
Let v = 535813 + -535801. Let 90 + 2/5*m**2 - v*m = 0. What is m?
15
Let w(c) be the third derivative of -c**6/60 + 162*c**5/5 - 19683*c**4 + 2*c**2 - 3*c - 96. Factor w(x).
-2*x*(x - 486)**2
Let f(a) be the first derivative of -a**4 + 2*a**2 - 8/3*a**3 + 8*a + 22. Factor f(b).
-4*(b - 1)*(b + 1)*(b + 2)
Suppose 30*w - 2396*w + 7098 = 0. Suppose -5/7*o**2 + 1/7*o**w + 5/7 - 1/7*o = 0. What is o?
-1, 1, 5
Let x(y) be the second derivative of -y**7/945 + y**6/270 + y**5/270 - y**4/54 + 15*y**2 + 3*y + 1. Let c(m) be the first derivative of x(m). Factor c(h).
-2*h*(h - 2)*(h - 1)*(h + 1)/9
Let u(n) = 17*n - 88. Let j be u(10). Determine c, given that 21*c**2 + 21*c**2 + 4 + j*c**3 + 90*c**3 + 25*c - 163*c**3 = 0.
-4, -1/3
Suppose 0 = -5*z + 3*q - 5, -2*q = -2*z + 3*q - 21. Suppose -4*h**2 - 26*h + 7*h**z + 46*h - 23*h - 6 = 0. Calculate h.
-1, 2
Let m(f) be the first derivative of 2*f**5/25 - 54*f**4/5 - 2*f**3/15 + 108*f**2/5 - 1922. Let m(x) = 0. What is x?
-1, 0, 1, 108
Let p(z) be the second derivative of -z**5/20 + 43*z**4/12 + 22*z**3/3 - 2*z + 729. Find g, given that p(g) = 0.
-1, 0, 44
Determine i so that -45/2*i + 200 + 1/4*i**2 = 0.
10, 80
Let r(q) be the first derivative of 19/2*q**2 - 9/2*q**4 + 230 - 1/6*q**6 - 9*q + 11/5*q**5 - 2/3*q**3. Determine s, given that r(s) = 0.
-1, 1, 9
Suppose 836 = 6*j + 248. Suppose j*z + 174 = 100*z. Factor 5*y**4 - y**4 + 4*y**5 - 20*y**3 - z*y**2 + 99*y**2.
4*y**2*(y - 1)**2*(y + 3)
Let n = 9088 + -9084. Let f(z) be the first derivative of -1/2*z**n + 0*z + 0*z**2 + 1/5*z**5 + 1/3*z**3 - 3. What is v in f(v) = 0?
0, 1
Suppose h - 7 = -5*z, z + 48 = -7*h + 3*h. Let a(m) = -m**3 - 14*m**2 - 15*m - 26. Let i be a(h). What is f in -2/7*f**4 + i*f**2 + 0 + 0*f + 2/7*f**3 = 0?
0, 1
Let q(w) be the second derivative of 3*w**5/8 + 9*w**4/2 + 37*w**3/4 + 9*w**2/2 + 7986*w. Factor q(k).
3*(k + 1)*(k + 6)*(5*k + 1)/2
Factor 31/5*a**2 + 20*a - 1/5*a**3 + 68/5.
-(a - 34)*(a + 1)*(a + 2)/5
Let g = -928 + 1827. Suppose -4*o**2 + g*o**3 - 8*o**4 + 4*o**4 - 891*o**3 = 0. What is o?
0, 1
Factor 161*b**3 + 209*b + 240 + 2*b**5 + 60*b**4 + 85*b**3 + 407*b - 16*b**4 + 580*b**2.
2*(b + 1)*(b + 2)**3*(b + 15)
Let o(m) be the first derivative of 4*m**5/5 - 68*m**3/3 + 72*m**2 - 80*m + 6876. Factor o(g).
4*(g - 2)**2*(g - 1)*(g + 5)
Suppose 0 = -887*z + 1143 + 2546 - 1028. Factor -1/2*g**z + 1/2*g + 1/2*g**2 - 1/2*g**4 + 0.
-g*(g - 1)*(g + 1)**2/2
Let s(d) be the second derivative of 19 - 7/30*d**6 - 89/20*d**5 + 0*d**2 + 0*d**3 + 13/6*d**4 + 2*d. Suppose s(a) = 0. What is a?
-13, 0, 2/7
Suppose -223/8*u**2 + 1/4*u**5 + 63/8*u**4 + 0 - 93/4*u + 3*u**3 = 0. Calculate u.
-31, -3/2, -1, 0, 2
Let m(a) be the second derivative of -a**8/70560 - a**7/13230 - a**6/7560 - a**4 - 54*a. Let n(g) be the third derivative of m(g). Suppose n(u) = 0. What is u?
-1, 0
Let k(n) be the second derivative of n**4/6 + 6*n**3 + 17*n**2 + 265*n. Determine r so that k(r) = 0.
-17, -1
Let l = 920942 - 3683767/4. Factor -3/4*x**2 - 1/4 - l*x**3 - 3/4*x.
-(x + 1)**3/4
Let 168*q + 0 + 3/2*q**4 - 290*q**2 + 56*q**3 = 0. Calculate q.
-42, 0, 2/3, 4
Let u(m) be the second derivative of 5*m**7/378 - 79*m**6/135 + 511*m**5/180 - 95*m**4/54 - 28*m**3/9 + m + 231. Solve u(n) = 0 for n.
-2/5, 0, 1, 3, 28
Suppose 2*m - 50 = 4*s - 64, -3*m = -s - 4. Suppose -1/3 + 1/6*i**m - 1/6*i + 1/2*i**2 - 1/6*i**4 = 0. Calculate i.
-1, 1, 2
Let r be 1/(((-6)/208)/(-3)). Suppose -3*n + 155 = r. Factor -8*z - 7*z + n*z - 2*z**2.
-2*z*(z - 1)
Let s be (-2 - (-3)/4)*((-12)/(-10) - 12348/4410). Factor 0 + 1/2*b**4 - 17/2*b**3 - 15/2*b + 31/2*b**s.
b*(b - 15)*(b - 1)**2/2
Determine x so that 1758*x + 189*x - 19545*x**2 + 19547*x**2 + 93*x = 0.
-1020, 0
Suppose 4*n = -0*n + 12, 2*l + 2*n - 10 = 0. Let a(h) = 3*h + 23. Let q be a(-5). Factor 8*j + q + 179*j**2 - 89*j**2 - 88*j**l.
2*(j + 2)**2
Factor 53*v + 13*v**2 - 2*v**3 + 12*v**2 + v**3 - 1685 + 3372 - 1660.
-(v - 27)*(v + 1)**2
Let a be (44/10 - 5) + 513/5. Suppose a = 13*q - 10*q. Factor -4*k**3 + 0*k**3 - q*k + 2*k**3 - 6*k**2 + 30*k.
-2*k*(k + 1)*(k + 2)
Let h(m) be the second derivative of m**7/1260 + 19*m**6/360 - m**5/3 + 3*m**4/4 - m**3/2 - 95*m. Let o(p) be the third derivative of h(p). Factor o(x).
2*(x - 1)*(x + 20)
Let h be (-1890)/(-714) - (-17 - (-6 + (-3077)/289)). Let l be (0 + (-8)/10)*-2. Factor -2/5*x**5 - 16/5*x**2 + 0*x + l*x**h + 0 + 4/5*x**4.
-2*x**2*(x - 2)**2*(x + 2)/5
Let c = -37927 - -37931. Let 4/9*q**5 + 0*q**2 + 0 - 4/9*q**3 + 0*q**c + 0*q = 0. What is q?
-1, 0, 1
Let b(h) = -15*h**3 - 65*h**2 - 65*h - 5. Let k(f) = -10*f**3 + 32*f**2 + 33*f + 56*f**3 + 3 - 38*f**3. Let o(z) = 3*b(z) + 5*k(z). Solve o(a) = 0.
-6, -1, 0
Let x be 1906/(-154) + -6*35/(-42). Let y = x - -58/7. Suppose -2/11*g**3 + 0 + 12/11*g - y*g**2 = 0. What is g?
-6, 0, 1
Let l(a) = -15*a**2 + 25*a + 112. Let j(k) = -2*k**2 - 3. Let o(y) = 8*j(y) - l(y). Factor o(b).
-(b + 8)*(b + 17)
Let k(v) be the second derivative of v**6/960 + v**5/120 + v**4/64 - 45*v**2/2 - 28*v. Let o(t) be the first derivative of k(t). Suppose o(i) = 0. Calculate i.
-3, -1, 0
Let i(f) be the first derivative of 0*f + 4 + 0*f**2 - 20*f**4 - 16*f**3 - 12/5*f**5. Let i(c) = 0. Calculate c.
-6, -2/3, 0
Let a = -306919/5 + 61387. Determine c, given that -2/5*c**2 - a - 12/5*c = 0.
-4, -2
Suppose 10*a + 53 + 17 = 0. Let m be (a + 174/24)*3. Determine z so that -m - z - 1/4*z**2 = 0.
-3, -1
Let f(p) = -8*p**2 - 2. Let g(r) = -58*r**2 + 668*r - 14. Let z(t) = -14*f(t) + 2*g(t). Factor z(n).
-4*n*(n - 334)
Let m(r) = -2*r**2 - 3*r + 1. Let v(k) = 13*k**2 - 40*k + 51. Let j(l) = -30*m(l) - 5*v(l). Factor j(i).
-5*(i - 57)*(i - 1)
Let t = 169 - 155. What is v in -9 + 2*v**2 + t*v + 10 + 18 + 1 = 0?
-5, -2
Let b(i) be the third derivative of -i**9/3780