4*k + 16*k**2 = 0.
-1, -2/3, 0
Let y(h) be the third derivative of 0*h**3 + 0 + 32*h**2 + 0*h - 2/9*h**4 + 1/180*h**6 - 1/45*h**5. Factor y(r).
2*r*(r - 4)*(r + 2)/3
Let w(q) be the third derivative of -11*q**6/120 - 3*q**3/2 - 10*q**2. Let z(l) = -3*l**3 - 2. Let o(x) = 2*w(x) - 9*z(x). Find p such that o(p) = 0.
0
Determine h so that 8/5*h**2 - 2*h**3 + 22/5*h + 4/5 = 0.
-1, -1/5, 2
Let k = 44 - 41. Factor 75*v - 90*v - 8 - 15*v**2 + 2 - 5*v**k + 1.
-5*(v + 1)**3
Let b(i) = 2*i - 1. Let f be b(2). Factor 2 - p**5 - 2*p**2 - 40*p + 21*p + 4*p**f + 16*p.
-(p - 1)**3*(p + 1)*(p + 2)
Let k = 78 - 72. Let k*j**2 + 115*j**3 + 12 - 227*j**3 + 106*j**3 + 22*j - 2*j**4 = 0. What is j?
-3, -1, 2
Let y(p) = p**3 - 1. Let x be (-6)/(-4) - (-2)/4. Let i(w) = 43*w**x - 41*w**2 + 0*w - 3*w**3 + w + 4. Let v(g) = i(g) + 4*y(g). Factor v(l).
l*(l + 1)**2
Let s(h) = 3*h**3 + h**2 - 7*h + 5. Let y be s(1). Factor -r**y - 3/5*r - 1/5*r**3 + 9/5.
-(r - 1)*(r + 3)**2/5
Factor 2/9*w**3 + 76/9*w**2 + 146/9*w + 8.
2*(w + 1)**2*(w + 36)/9
Let s(m) = m**4 - m**3 + m**2. Let b(h) = -11*h**4 - 7*h**3 - 39*h**2 + 16*h + 32. Let q(p) = -2*b(p) - 18*s(p). Let q(f) = 0. Calculate f.
-4, -1, 1
Let y = -1024 + 1024. Let s(f) be the second derivative of y*f**3 + 1/168*f**7 + 0*f**4 - 3*f - 1/120*f**6 + 0*f**2 - 1/40*f**5 + 0. Factor s(q).
q**3*(q - 2)*(q + 1)/4
Let i(k) be the second derivative of -3/4*k**2 - 19/8*k**3 - 141/80*k**5 - 7/2*k**4 + 2/7*k**7 + 0 + 1/5*k**6 - 17*k. Suppose i(y) = 0. Calculate y.
-1, -1/4, 2
Let y(h) be the first derivative of 39*h**5/20 - 111*h**4/16 + 33*h**3/4 - 21*h**2/8 - 3*h/2 - 233. Suppose y(o) = 0. What is o?
-2/13, 1
Let h be (-8)/(-36) - (91/(-28))/(63/4). Let -9/7 + h*u**2 + 6/7*u = 0. What is u?
-3, 1
Let q(l) be the first derivative of l**3/3 + 270. Suppose q(b) = 0. Calculate b.
0
Let d be (-1 + 25/3)/((-180)/(-324)). Let s = 68/5 - d. Determine y, given that -6/5*y**3 - s*y**2 + 0*y - 2/5*y**5 + 0 - 6/5*y**4 = 0.
-1, 0
Let a(u) = -u**2 - 23*u - 25. Let f be a(-22). Let i be (((f - -2) + 0)*0)/(-2). Determine w so that 2/3*w**4 - 2/3*w**5 + i + 2/3*w**3 + 0*w - 2/3*w**2 = 0.
-1, 0, 1
Let k(w) be the second derivative of -w**7/210 + w**6/50 - w**5/50 - w**4/30 + w**3/10 - w**2/10 + 7*w. Determine a, given that k(a) = 0.
-1, 1
Let 0*i - 130/3*i**3 + 0 + 2/3*i**5 + 34*i**2 + 26/3*i**4 = 0. What is i?
-17, 0, 1, 3
Let i be 3 + (-10)/(-5 - -15). Let l(z) be the second derivative of -1/24*z**4 - i*z - 1/6*z**3 + 0 + 1/40*z**5 + 0*z**2. What is k in l(k) = 0?
-1, 0, 2
Suppose 6 = 1095*q - 1092*q. Let k(x) be the second derivative of 1/5*x**q + 6*x - 1/30*x**4 + 0 + 0*x**3. Factor k(p).
-2*(p - 1)*(p + 1)/5
Let l(w) be the third derivative of w**7/1680 - 11*w**6/720 - 16*w**3/3 - 13*w**2 - 2*w. Let p(r) be the first derivative of l(r). What is n in p(n) = 0?
0, 11
Find x such that -42/5*x + 99/5*x**2 + 0 + 3*x**3 = 0.
-7, 0, 2/5
Suppose 5*g - 4*w - 116 = 0, w = -3*g + 6*w + 80. Suppose -g*y + 4 = -18*y. Factor 4*j**3 - 2 - 4*j**2 + 0*j + 2*j**y + 4*j**2 - 3*j - j**5.
-(j - 2)*(j - 1)*(j + 1)**3
Suppose 0 = -d - 4*i - 4, 4*d + i = 6*d - 1. Factor 0 + d*g - 1/3*g**3 + 2/3*g**2.
-g**2*(g - 2)/3
Let f(d) be the first derivative of 0*d + 0*d**3 + 6 + 5/2*d**2 + 1/360*d**6 + 0*d**4 - 1/180*d**5. Let k(j) be the second derivative of f(j). Solve k(l) = 0.
0, 1
Suppose -y = 5*c - 10, 3*c + 15 = -4*y + 21. Factor 0*r + y*r**3 + 0 - 2/5*r**2 + 2/5*r**4.
2*r**2*(r - 1)*(r + 1)/5
Let u(q) be the third derivative of 25/3*q**3 + 1/120*q**5 - 5/12*q**4 + 0 - 33*q**2 + 0*q. What is a in u(a) = 0?
10
Let a(c) = -7*c**4 + 7*c**2 - 5*c + 5. Let k(l) = 3*l**4 - 3*l**2 + 2*l - 2. Let d = -12 - -22. Suppose -d = v - 4. Let p(b) = v*a(b) - 15*k(b). Factor p(x).
-3*x**2*(x - 1)*(x + 1)
Let y(k) be the third derivative of 1/16*k**4 + 0*k + 1/120*k**5 + 2*k**2 + 1/6*k**3 + 0. Find b such that y(b) = 0.
-2, -1
Let b(g) be the second derivative of -g**4/6 - 77*g**3/3 - 76*g**2 - 756*g. Factor b(n).
-2*(n + 1)*(n + 76)
Factor -29*w**2 + 39*w**2 + 4*w**3 + 5*w**5 - 19*w**3.
5*w**2*(w - 1)**2*(w + 2)
Let b(u) be the third derivative of u**6/720 - 7*u**5/360 + u**4/18 - u**3/6 - 41*u**2. Let w(y) be the first derivative of b(y). Factor w(t).
(t - 4)*(3*t - 2)/6
Suppose 172*a - 174*a + 6 = 0. Let v(j) be the first derivative of 8/3*j + 4/3*j**2 - 4 + 2/9*j**a. Suppose v(n) = 0. What is n?
-2
Let x be ((-140)/378*3)/((-4)/9). Factor 0 + x*i**4 + 5*i - 5/2*i**5 + 15/2*i**3 - 25/2*i**2.
-5*i*(i - 1)**3*(i + 2)/2
Suppose -w = 2*w - 6, -2*p = 4*w - 16. Suppose -4*o - 3*v + p = 0, 5*o - 3*v = -0*o + 32. Factor -21*j**5 - 2*j**o + 4*j**3 - 13*j**4 + j**3 + j**3.
-3*j**3*(j + 1)*(7*j - 2)
Suppose h = -9*h + 60. Let -25*o**5 - 6*o**3 - h*o - 12*o + 40*o**4 - 8*o**2 + 17*o = 0. What is o?
-1/5, 0, 1
Determine r, given that -99 - 70*r - r**2 + 45*r - 97 + 53*r = 0.
14
Let q(l) = 2*l**3 - 2*l**2 + 2. Let j(u) = 124*u**3 - 3704*u**2 + 2896*u - 552. Let d(w) = -j(w) + 12*q(w). Factor d(x).
-4*(x - 36)*(5*x - 2)**2
Let g = -108 + 108. Let q(r) be the third derivative of 0 - 1/40*r**5 - 4*r**3 - 3*r**2 + g*r + 1/2*r**4. Factor q(k).
-3*(k - 4)**2/2
Let k(a) = -2*a**2 - 15*a - 24. Let l be k(-3). Let n(p) be the first derivative of -p**l - 3/2*p**2 + 0*p + 10. Factor n(q).
-3*q*(q + 1)
Let u(t) = -3*t**3 + 103*t**2 - 967*t + 859. Let y(h) = -21*h**3 + 720*h**2 - 6768*h + 6009. Let z(a) = -15*u(a) + 2*y(a). What is i in z(i) = 0?
1, 17
Let s be 2 + 1 + (-5)/7. Let n = s - 57/28. Solve -1/4 + 3/4*o - 3/4*o**2 + n*o**3 = 0 for o.
1
Suppose -2*r - 5*j = 31, 5*j = 3*r - 11 - 5. Let t be 4*r/(-6) + 0. Suppose 0 - 4/5*g**3 + 2/5*g**t - 2/5*g**4 + 4/5*g = 0. Calculate g.
-2, -1, 0, 1
Let m(l) be the second derivative of 5*l**5 + 30*l**4 + 54*l**3 + 626*l. Factor m(z).
4*z*(5*z + 9)**2
Let g = -1 + 3. Let 5*c**2 - 6 + 0*c**2 - 3*c - 2*c**g = 0. What is c?
-1, 2
Suppose 2*g = 5*g + 18. Let p = g + 9. Find c, given that 3/5*c**2 + 9/5*c + 2/5 - 4/5*c**p = 0.
-1, -1/4, 2
Let o(x) be the third derivative of 1/21*x**7 - 13/30*x**5 + 0*x + 2/3*x**4 + 29*x**2 - 1/168*x**8 + 0 + 4*x**3 - 1/20*x**6. Solve o(c) = 0 for c.
-1, 2, 3
Factor -23 + 3*k**2 + 19*k - 16 + 39 - 124*k.
3*k*(k - 35)
Let c be (-23 - -25) + (2 + -2 - -3) + -3. Suppose 2/3*m**2 + c + 8/3*m = 0. Calculate m.
-3, -1
Let c(q) = 6*q**3 - 50*q**2 + 92*q - 48. Let i(p) = -4*p**3 + 33*p**2 - 61*p + 32. Let z(j) = 5*c(j) + 8*i(j). Factor z(d).
-2*(d - 4)*(d - 2)*(d - 1)
Let g = 14951/7 + -2133. Factor 4/7*c**2 + 4/7*c**3 - g*c + 12/7.
4*(c - 1)**2*(c + 3)/7
Let y be -2 - (-11 - 0/(-4)). Factor 0 - 24*f + y + 13*f**2 + 3*f**2 - f**2.
3*(f - 1)*(5*f - 3)
What is z in -8/3*z - 1/3*z**3 - 5/3*z**2 - 4/3 = 0?
-2, -1
Let i(p) be the third derivative of 27/2*p**3 + 0 - 189/8*p**4 - 343/40*p**6 - 10*p**2 + 441/20*p**5 + 0*p. Determine c so that i(c) = 0.
3/7
Let o(i) = 65*i**2 + 650*i + 200. Let w(b) = 5*b**2 + 50*b + 15. Let g(f) = 3*o(f) - 40*w(f). Determine u so that g(u) = 0.
-10, 0
Let z(f) be the second derivative of -f**5/180 - f**4/36 - f**3/18 - 5*f**2/2 - 9*f. Let t(p) be the first derivative of z(p). Let t(d) = 0. What is d?
-1
Let d(i) = 4*i**2 + 41*i + 352. Let z(t) = -11*t**2 - 122*t - 1059. Let m(w) = -8*d(w) - 3*z(w). Determine b, given that m(b) = 0.
-19
Let z(m) be the third derivative of 6*m**7/35 + 32*m**6/15 + 142*m**5/15 + 16*m**4 + 6*m**3 - 510*m**2. Suppose z(v) = 0. What is v?
-3, -1, -1/9
Let i(j) = -j**2 + j - 1. Let g = 20 + -19. Let f(w) = -4*w**2 + 52*w - 8. Let q(m) = g*f(m) + 16*i(m). Determine h so that q(h) = 0.
2/5, 3
Factor -16*d**4 - 20*d**4 - 3*d**5 + 11*d**4 - 10*d**4 + 5*d**4.
-3*d**4*(d + 10)
Let y = 1085/4292 + -3/1073. Factor -y*d**3 + 3/4*d + 1/2 + 0*d**2.
-(d - 2)*(d + 1)**2/4
Let a = 2/131 + 385/524. Let c be -1 + -13*(-6)/12 + -4. Factor c + a*p**2 - 9/4*p.
3*(p - 2)*(p - 1)/4
Suppose 0 = 5*b - 18 - 7. Let x(u) = u + 9. Let i be x(-6). Factor b*p**3 - p**3 + i - 12*p - 11.
4*(p - 2)*(p + 1)**2
Let b(a) be the second derivative of a**6/20 + 12*a**5/5 + 165*a**4/4 + 242*a**3 - 3993*a**2/4 - 100*a. Factor b(p).
3*(p - 1)*(p + 11)**3/2
Let j(w) be the third derivative of w**8/100800 + w**7/25200 + 13*w**5/60 - 7*w**2. Let f(x) be the third derivative of j(x). Determine o, given that f(o) = 0.
-1, 0
Let c(p) be