= -6*o(f) - r(f). Determine g so that a(g) = 0.
0, 3, 4
Factor 45/2*i**3 + 20*i**2 - 150*i + 0 + 5/2*i**4.
5*i*(i - 2)*(i + 5)*(i + 6)/2
Suppose 19*i = -5*i. Find a, given that i*a**5 - 104*a**3 - a**4 - a**5 + 2*a**4 + 110*a**3 = 0.
-2, 0, 3
Let y = -73617 - -220853/3. Factor 2/9*o**2 - y*o - 8/9.
2*(o - 4)*(o + 1)/9
Let l(n) be the third derivative of -7*n**5/5 - 19*n**4/6 + 4*n**3/3 + 5624*n**2. Find o such that l(o) = 0.
-1, 2/21
Let y = 404 - 398. Let k be (-309)/(-378) - y/(-84). Factor -2/9*l**2 + k*l + 10/9.
-2*(l - 5)*(l + 1)/9
Let b(h) be the third derivative of h**5/12 - 545*h**4/24 + 90*h**3 - 646*h**2. Factor b(n).
5*(n - 108)*(n - 1)
Let q be 6/1*((-1)/1)/(-3). Factor -63*z + 3*z**q + z**2 - 112 + 19*z - 4*z.
4*(z - 14)*(z + 2)
Suppose -44*i + 45*i = 5*z + 8, -i = -4*z - 8. Factor -1/5*a**2 - 1/5*a**3 + 6/5*a + z.
-a*(a - 2)*(a + 3)/5
Let y(r) = 14*r**2 - 6*r + 47. Let f be y(-5). Let x = -2134/5 + f. Determine g, given that -6/5 + x*g**2 - 1/5*g = 0.
-2, 3
Let k = -9/968 + 735/968. Let d(t) be the first derivative of 6/5*t**5 - k*t**4 + 0*t**2 - 28 + 1/2*t**6 - 2*t**3 + 0*t. What is m in d(m) = 0?
-2, -1, 0, 1
Let k(y) be the first derivative of y**5/12 + 5*y**4/2 - 13*y**2/2 + 57. Let g(z) be the second derivative of k(z). Factor g(m).
5*m*(m + 12)
Let m = 200 - 198. Let 2*t + 169*t**4 + 96*t**3 + 102*t - 165*t**4 - 204*t**m = 0. What is t?
-26, 0, 1
Let j(x) be the second derivative of 0*x**5 - 95*x + 0*x**2 + 0*x**3 - 1/10*x**6 + 0 + x**4. Suppose j(t) = 0. What is t?
-2, 0, 2
Let m(y) be the second derivative of -y**4/20 + 17*y**3/5 + 108*y**2/5 + 411*y - 1. Factor m(b).
-3*(b - 36)*(b + 2)/5
Let d(y) be the third derivative of -y**7/1575 + y**6/600 + 7*y**5/300 + 19*y**4/6 - 82*y**2. Let n(s) be the second derivative of d(s). Factor n(x).
-2*(x + 1)*(4*x - 7)/5
Let h(w) = -w**3 + 9*w**2 - 12*w - 6. Let u be h(6). Let x be (-4)/12 - ((-112)/u + 3). Factor 0*p**2 + 4/5 - 6/5*p + x*p**3.
2*(p - 1)**2*(p + 2)/5
Let s(p) be the first derivative of -88 - 5/9*p**3 + 7/6*p**2 + 1/12*p**4 - p. Factor s(l).
(l - 3)*(l - 1)**2/3
Let k(s) be the first derivative of 99 + 0*s + 1/6*s**3 + 1/4*s**2. Factor k(f).
f*(f + 1)/2
Let t = -15548 - -15550. Let w(n) be the first derivative of -1/2*n**3 + 9/4*n**t + 0*n - 26. Factor w(r).
-3*r*(r - 3)/2
Let m be (-9412)/338 + (-336)/(-12). Find h such that m*h - 4/13*h**2 - 2/13*h**3 + 4/13 = 0.
-2, -1, 1
Let p = -285155 - -285158. Factor -2/11*k**p + 0 - 2/11*k**2 + 0*k.
-2*k**2*(k + 1)/11
Let t(c) be the second derivative of 2*c**6/15 + 31*c**5/5 + 86*c**4/3 + 112*c**3/3 - 1722*c. Factor t(r).
4*r*(r + 1)*(r + 2)*(r + 28)
Let z(n) be the first derivative of n**3/18 + 5*n**2/2 - 31*n/6 + 500. Let z(g) = 0. Calculate g.
-31, 1
Let d(f) = 69*f - 1240. Let j be d(18). Let t(l) be the second derivative of 4/9*l**j + 26*l - 4/27*l**3 + 0 + 1/54*l**4. Factor t(w).
2*(w - 2)**2/9
Let y(r) be the first derivative of 9*r**4/2 + 136*r**3/3 + 31*r**2 - 56*r - 1031. Suppose y(s) = 0. Calculate s.
-7, -1, 4/9
Let u be 0*(16/576*-4)/(4/(-18)). Let f(v) be the third derivative of u + 6*v**2 + 0*v - 2/3*v**5 + 1/10*v**6 - 3/2*v**4 + 8/3*v**3. Factor f(m).
4*(m - 4)*(m + 1)*(3*m - 1)
Suppose -30*f - 24 = -31*f + 2*j, j = 3*f - 47. Determine h, given that 3*h**4 - 3*h**4 - 56*h - 155 + h**4 - 41 + 45*h**2 + f*h**3 = 0.
-7, -2, 2
Let g(u) be the second derivative of -u**4/90 + 836*u**3/45 + 1676*u**2/15 + 2*u - 541. Factor g(z).
-2*(z - 838)*(z + 2)/15
Factor 92/3 + 2/3*w**4 + 94*w**2 + 278/3*w + 98/3*w**3.
2*(w + 1)**3*(w + 46)/3
Let b(x) be the third derivative of x**5/20 - 201*x**4/8 + 100*x**3 + 2*x**2 + 292*x. Let b(j) = 0. Calculate j.
1, 200
Let x(q) be the second derivative of 0 - 1/10*q**6 + 5/4*q**4 - 50*q - 1/14*q**7 + q**3 + 9/20*q**5 + 0*q**2. Factor x(t).
-3*t*(t - 2)*(t + 1)**3
Factor 2/15*g**3 - 14/15*g + 0*g**2 + 4/5.
2*(g - 2)*(g - 1)*(g + 3)/15
Suppose 10*j = 12*j + 3*u + 13, 4*j = 3*u + 1. Let m be (-3)/1 - j - (-27)/15. Suppose -m*d + 4/5*d**2 + 0 = 0. Calculate d.
0, 1
Let x(w) be the first derivative of -2/25*w**5 + 0*w**2 + 0*w + 1/45*w**6 + 28 + 0*w**4 + 8/45*w**3. Factor x(v).
2*v**2*(v - 2)**2*(v + 1)/15
Factor -10641*s**2 + s**4 + 6*s**3 + 11031*s**2 - 139*s**3.
s**2*(s - 130)*(s - 3)
Let l(d) = -822*d + 2469. Let y be l(3). Let r(n) be the second derivative of n**y + 0 - 1/12*n**4 - 9/2*n**2 - 32*n. Find z such that r(z) = 0.
3
Suppose 0 = 4*l + 12, 7*a = 10*a + 3*l - 537. Factor -8 + 134*z - a*z + 19 + 4*z**2 + 69.
4*(z - 10)*(z - 2)
Factor -54682*j**3 + 30*j - 54657*j**3 + 226*j**2 + 109383*j**3.
2*j*(j + 5)*(22*j + 3)
Let o(g) be the first derivative of -g**6/2 - 3*g**5 + 15*g**4/4 + 25*g**3 - 6*g**2 - 60*g + 2003. Determine i so that o(i) = 0.
-5, -2, -1, 1, 2
Let l(n) = 3*n**2 + 1. Let c be l(1). Let s(b) = -b**2 + 4*b + 3. Let d be s(c). Factor 9 - 3*h**3 + 3*h + 14 - d*h**2 - 20.
-3*(h - 1)*(h + 1)**2
Suppose -72*w = -68*w. Suppose 3*p - 127 + 118 = w. Suppose 1/2*k**4 - 1/2*k**p + 1/2*k + 0 - 1/2*k**2 = 0. What is k?
-1, 0, 1
Let m be (-170)/68*-6*20/75. Let -2/9*p**5 + 0 - 40/9*p**2 - 16/9*p - 4*p**3 - 14/9*p**m = 0. Calculate p.
-2, -1, 0
Let v(z) be the third derivative of z**7/42 + 19*z**6/72 + 19*z**5/24 - 5*z**4/4 + 47*z**3/3 + 42*z**2. Let u(t) be the first derivative of v(t). Factor u(x).
5*(x + 2)*(x + 3)*(4*x - 1)
Let s(u) be the first derivative of 9*u**4/16 + 83*u**3/4 + 951*u**2/8 - 345*u/4 - 2669. What is x in s(x) = 0?
-23, -5, 1/3
Factor 2/5*v**4 - 146/5*v**2 - 14/5*v**3 + 0 - 26*v.
2*v*(v - 13)*(v + 1)*(v + 5)/5
Let v = 35850 - 824548/23. Solve 36/23 + v*h**2 - 38/23*h = 0.
1, 18
Let g(i) be the first derivative of 3*i**4/28 - 5*i**3/7 - 75*i**2/14 + 375*i/7 - 606. Factor g(r).
3*(r - 5)**2*(r + 5)/7
Let k(w) be the third derivative of w**8/336 + 11*w**7/210 + 3*w**6/40 - 11*w**5/60 - 5*w**4/12 - 2689*w**2. Determine p, given that k(p) = 0.
-10, -1, 0, 1
Let f = 943519/9 - 104683. Let p be ((-1 + 0)*4)/((-396)/297). Determine m so that f + 28/3*m**2 - 4/9*m**p - 196/3*m = 0.
7
Suppose 0 = 5*x - 3*d + 5*d - 4, -5*x - 3*d + 1 = 0. Factor -4 + 10*m - 129*m**x + 4 + 131*m**2.
2*m*(m + 5)
Let d be ((-35)/504*3)/(10/(-6)). Let q(w) be the third derivative of d*w**4 - 1/3*w**3 + w**2 + 0*w - 1/60*w**5 + 0. Factor q(k).
-(k - 2)*(k - 1)
Let o(t) = t**3 - 35*t**2 + 2*t - 50. Let j be o(35). Solve -33 - 124*h**2 - 135*h - j*h**2 - 94*h**3 + 82*h**3 = 0.
-11, -1/2
Let m(c) = -27*c**4 - 1313*c**3 + 3797*c**2 - 2695*c. Let r(x) = 163*x**4 + 7882*x**3 - 22780*x**2 + 16170*x. Let s(a) = 13*m(a) + 2*r(a). Solve s(f) = 0.
-55, 0, 7/5
Let w(b) be the first derivative of b**4/2 - 434*b**3/3 + 1688*b**2 - 6688*b + 10107. Let w(l) = 0. What is l?
4, 209
Let o = -161 + 165. Suppose o*l**2 - 25*l + 10*l + 13*l = 0. What is l?
0, 1/2
Let v(r) be the second derivative of r**4/114 + 8*r**3/19 - 180*r**2/19 + 3223*r. Determine a, given that v(a) = 0.
-30, 6
Find v, given that -308*v + 32*v - 64 + 54*v**2 + 112*v + 10*v**4 + 164*v**3 = 0.
-16, -1, -2/5, 1
Let h(w) be the first derivative of -21/4*w**4 + 21 + 0*w + 21/2*w**2 + w**3 - 3/5*w**5. Solve h(t) = 0 for t.
-7, -1, 0, 1
Let m(h) be the third derivative of -h**6/30 + 25*h**5/3 + 21*h**4 - 23*h**2 - 8*h. Suppose m(w) = 0. What is w?
-1, 0, 126
Let s(n) be the third derivative of 158*n**2 + 0 + 1/150*n**5 - 1/12*n**4 + 0*n - 2/5*n**3. Factor s(x).
2*(x - 6)*(x + 1)/5
Let a(p) be the second derivative of p**5/20 - 43*p**4/6 - 265*p**3/6 - 89*p**2 + 1444*p. Factor a(i).
(i - 89)*(i + 1)*(i + 2)
Let s(l) be the second derivative of -5*l**7/42 + 3*l**5/2 + 10*l**4/3 + 5*l**3/2 + 573*l. Factor s(o).
-5*o*(o - 3)*(o + 1)**3
Let k be -7 + 3 - 6 - 6. Let s be 1273/133 - 9 - k/14. Determine u so that 2/7*u**2 + 10/7 + s*u = 0.
-5, -1
Let t = 19 - 19. Suppose 3*k - 3*g + 4*g - 11 = t, 4*k + 5*g - 22 = 0. Find c such that -3*c**2 - 8*c**3 + 6*c**4 + 11*c**k + 0*c**2 = 0.
-1, 0, 1/2
Let t = -7542 + 7544. Let u(n) be the first derivative of -5/7*n**4 - 2/7*n**t + 32/21*n**3 - 8/7*n - 20. Find x, given that u(x) = 0.
-2/5, 1
Let h = -234950 - -234952. Factor -15/7*p - 1/7*p**3 - 25/7 + 9/7*p**h.
-(p - 5)**2*(p + 1)/7
Let s(y) be the first derivative of 0*y + 7/18*y**6 + 1/6*y**4 - 46 + 3/5*y**5 + 0*y**3 + 0*y**2. Factor s(n).
n**3*(n + 1)*(7*n +