0*z**2 - 4/5*z**s + 2/5*z + 0*z**4 + 0 + 2/5*z**5 = 0.
-1, 0, 1
Let n(a) be the first derivative of -16*a - 11 - 1/3*a**3 + 4*a**2. Find h, given that n(h) = 0.
4
Let g(x) be the third derivative of 2*x**6/135 - 11*x**5/270 + x**4/36 + 37*x**2. Solve g(l) = 0.
0, 3/8, 1
Factor 9*s - 20 + 3*s**2 + 39 - 31.
3*(s - 1)*(s + 4)
What is i in 5*i - 35/3*i**3 + 5*i**2 + 5*i**4 - 10/3 = 0?
-2/3, 1
Let t(j) be the first derivative of 0*j + 8/3*j**3 + 2*j**2 - 15*j**4 - 128/5*j**5 - 32/3*j**6 + 14. Solve t(o) = 0.
-1, -1/4, 0, 1/4
Let n(m) be the second derivative of -m**4/3 + 8*m**3 - 22*m**2 + 4*m - 16. Let n(x) = 0. Calculate x.
1, 11
Let n be 12 - (-15 + 35/25*5 - -15). Factor -1/4*s**n + 27/2*s + 27/4*s**2 + 0 - 9/4*s**3 - 7/4*s**4.
-s*(s - 2)*(s + 3)**3/4
Factor 1/3*u**2 - 67/3*u + 0.
u*(u - 67)/3
Suppose -6*r + 27 = 123. Let g = -10 - r. Factor -b**2 - 4*b - 1 + 8*b - g*b.
-(b + 1)**2
Determine z, given that 2/7*z**4 + 0 + 6/7*z - 2/7*z**2 - 6/7*z**3 = 0.
-1, 0, 1, 3
Let x = 193 + -188. Let t(c) be the third derivative of -9/280*c**8 - 3/25*c**6 - 1/60*c**4 - 18/175*c**7 + 0 + 0*c**3 + 4*c**2 + 0*c - 1/15*c**x. Factor t(u).
-2*u*(u + 1)*(3*u + 1)**3/5
Let j(z) be the third derivative of z**5/60 + z**4/6 - 16*z**3/3 - 363*z**2 - 2. Factor j(l).
(l - 4)*(l + 8)
What is w in -30/17*w - 28/17 + 26/17*w**2 + 30/17*w**3 + 2/17*w**4 = 0?
-14, -1, 1
Let v(h) = -13*h**2 + 570*h - 9795. Let x(z) = 20*z**2 - 856*z + 14692. Let q(y) = 8*v(y) + 5*x(y). Suppose q(f) = 0. Calculate f.
35
Let v(c) = 12*c**3 - 191*c**2 + 291*c - 178. Let z(s) = -3*s**3 + 48*s**2 - 72*s + 45. Let l(p) = 3*v(p) + 11*z(p). Factor l(a).
3*(a - 13)*(a - 1)**2
Suppose -16*l + 18*l = 4. Let c(a) be the second derivative of 0 - 5*a - 1/60*a**5 - 4/9*a**3 + 5/36*a**4 + 2/3*a**l. Factor c(w).
-(w - 2)**2*(w - 1)/3
Let l(g) be the third derivative of -5*g**7/224 - 19*g**6/96 - 2*g**5/5 - 3*g**4/8 - 23*g**3/6 + 20*g**2. Let j(p) be the first derivative of l(p). Factor j(k).
-3*(k + 3)*(5*k + 2)**2/4
Let u(q) = -16*q**3 + 124*q**2 - 233*q + 136. Let k(r) = 3*r**3 - 25*r**2 + 47*r - 27. Let x(c) = 22*k(c) + 4*u(c). Factor x(n).
2*(n - 25)*(n - 1)**2
Suppose 572*v = 633*v. Factor -2/7*u**5 + 2/7*u**4 + v - 2/7*u**2 + 0*u + 2/7*u**3.
-2*u**2*(u - 1)**2*(u + 1)/7
Let b(w) be the first derivative of w**6/210 - 3*w**5/70 + 3*w**4/28 + 22*w - 19. Let k(c) be the first derivative of b(c). Factor k(j).
j**2*(j - 3)**2/7
Let v(k) be the third derivative of -k**5/30 + 95*k**4/6 - 9025*k**3/3 - 5*k**2 + 1. Suppose v(m) = 0. Calculate m.
95
Let b(i) be the second derivative of -i**4/120 - 2*i**3/15 - 3*i**2/4 + 2*i + 2. Factor b(q).
-(q + 3)*(q + 5)/10
Let j(g) = -5*g - 3. Let a(p) = -16*p - 8. Let w(u) = 3*a(u) - 10*j(u). Let f be w(-2). Factor -1/4*d + 0 + 1/4*d**f.
d*(d - 1)/4
Let y(b) be the third derivative of 13*b**5/90 - 25*b**4/18 - 8*b**3/9 - 8*b**2 - 2*b. Determine p so that y(p) = 0.
-2/13, 4
Let z(j) be the first derivative of j**7/840 - j**6/600 - j**5/300 + 3*j**3 - 5. Let o(f) be the third derivative of z(f). Suppose o(n) = 0. What is n?
-2/5, 0, 1
Let s(a) be the first derivative of a**4/24 - a**3/9 - 2*a**2 + 745. Determine i, given that s(i) = 0.
-4, 0, 6
Suppose 2*a + 3*p - 5 - 8 = 0, -3*a - 23 = -4*p. Let o(g) = -g**3 - g. Let b(l) = l**3 - 20*l**2 - 9*l. Let y(x) = a*b(x) - 6*o(x). Suppose y(i) = 0. What is i?
-3, -1, 0
Factor 548/9*p**2 + 4/9*p**3 + 6164/3*p - 2116.
4*(p - 1)*(p + 69)**2/9
Factor -25 + 12 + c**3 + 12*c + 0 - 4*c**3 + 1 + 3*c**2.
-3*(c - 2)*(c - 1)*(c + 2)
Suppose -11*a = 5*p - 12*a - 17, -p - 5*a - 7 = 0. Let c(t) be the first derivative of -1/2*t**4 + 2*t**3 - 3 + 2*t - p*t**2. Solve c(j) = 0 for j.
1
Let 54*a**2 + 0*a**3 - 38*a**2 - 28*a**4 + 0*a**3 + 12*a**5 = 0. What is a?
-2/3, 0, 1, 2
What is f in -7/3*f - 1/3*f**4 - 11/3*f**2 + 7/3*f**3 + 4 = 0?
-1, 1, 3, 4
Let l = -5 + 17. Let j = -34/3 + l. Find m, given that 2/9*m**3 + 2/9 + 2/3*m**2 + j*m = 0.
-1
Solve -1/2*c**4 + 13/12*c**3 - c**2 + 0 + 1/3*c + 1/12*c**5 = 0 for c.
0, 1, 2
Let n(g) be the first derivative of -5*g**6/6 - 2*g**5 + 15*g**4/4 + 40*g**3/3 + 10*g**2 - 27. Find p such that n(p) = 0.
-2, -1, 0, 2
Determine x so that 79*x + 0 + 0 + 2 + x**2 - 82*x = 0.
1, 2
Let i(f) be the second derivative of 1/4*f**5 - 15/2*f**2 + 18*f + 35/6*f**3 + 0 - 25/12*f**4. Factor i(w).
5*(w - 3)*(w - 1)**2
Let i(o) = 12*o**5 - 56*o**4 + 16*o**3 + 56*o**2 - 36*o - 8. Let r(g) = 4*g**5 - 19*g**4 + 5*g**3 + 19*g**2 - 12*g - 3. Let n(l) = 3*i(l) - 8*r(l). Factor n(y).
4*y*(y - 3)*(y - 1)**2*(y + 1)
Let w(t) = -4*t + 30. Let c be w(7). Let v(b) be the second derivative of 1/90*b**5 - 1/27*b**3 + 0 + 1/135*b**6 + 0*b**c - 1/54*b**4 + 3*b. Factor v(x).
2*x*(x - 1)*(x + 1)**2/9
Let v(y) be the third derivative of -y**5/12 + 25*y**4/24 - 10*y**3/3 - 14*y**2 - 6. Factor v(r).
-5*(r - 4)*(r - 1)
Let g(s) be the third derivative of -s**6/60 + 8*s**2 - 6*s. Factor g(v).
-2*v**3
Let t(s) be the first derivative of 3*s**2 - 5*s - 56 - 1/3*s**3. Factor t(c).
-(c - 5)*(c - 1)
Let l(r) = -5*r**4 + 30*r**3 - 33*r**2 + 4*r - 9. Let b(s) = s**3 - s**2 - 1. Let c(m) = 36*b(m) - 4*l(m). Factor c(q).
4*q*(q - 2)**2*(5*q - 1)
Let n(m) be the second derivative of m**4/20 - 6*m**2/5 - 147*m. Let n(z) = 0. Calculate z.
-2, 2
Let l = 36 + -27. Find o such that -4*o**2 + 12*o - 6*o**2 - l*o**2 - 9*o**2 + 8*o**3 = 0.
0, 1/2, 3
Determine q, given that -20/3*q - 8/3 - 16/3*q**2 - 4/3*q**3 = 0.
-2, -1
Let d(l) be the third derivative of 0*l + 0 - 2*l**3 - 1/20*l**5 + 5/8*l**4 + 10*l**2. Find m, given that d(m) = 0.
1, 4
Let x be 2/4 + 5*(-7)/70. Let t be (-63)/168 + 3/8. Factor -2/5*s**3 + 2/5*s**5 + 2/5*s**4 - 2/5*s**2 + x + t*s.
2*s**2*(s - 1)*(s + 1)**2/5
Suppose 3*y = y - x + 3, 3*x + 11 = 4*y. Factor -5*k**2 - 5*k**2 + 7*k + 6*k**2 + y.
-(k - 2)*(4*k + 1)
Factor 0*r + 0 + 1/2*r**5 - 3*r**3 + 0*r**2 + 1/2*r**4.
r**3*(r - 2)*(r + 3)/2
Let t(h) = h**2 + 15*h + 13. Let j be t(-8). Let z = j + 47. Factor -1/2 + x**3 + 0*x**2 - x + 1/2*x**z.
(x - 1)*(x + 1)**3/2
Let t(h) be the second derivative of h**6/60 - h**4/8 + h**3/6 + 84*h. Suppose t(x) = 0. Calculate x.
-2, 0, 1
Suppose 0 = 2*o - 0 + 4. Let p be 27/12 - o/(-8). Determine h so that -4*h + 33*h**2 - 8 - 62*h**2 + 33*h**p = 0.
-1, 2
Let l(s) = 2*s**2 - 20*s. Let p(t) = 23*t - 10*t - t**2 - 4*t. Let q(i) = -6*l(i) - 13*p(i). Determine n so that q(n) = 0.
-3, 0
Let q(t) be the first derivative of 7/36*t**4 - 1/45*t**5 + 1/2*t**2 + 3 - 5/9*t**3 + 0*t. Factor q(w).
-w*(w - 3)**2*(w - 1)/9
Let t(m) be the first derivative of -194/69*m**3 + 43 - 288/23*m - 11/23*m**4 + 264/23*m**2 - 2/115*m**5. Suppose t(k) = 0. What is k?
-12, 1
Let b(v) be the first derivative of -1/4*v + 1/4*v**2 + 1/20*v**5 + 0*v**3 - 1/8*v**4 + 6. What is m in b(m) = 0?
-1, 1
Let t(p) be the second derivative of -p**6/1440 + p**5/480 + p**3/2 - 13*p. Let b(j) be the second derivative of t(j). Find i such that b(i) = 0.
0, 1
Let w = 66901/4 + -16725. Determine j so that w*j**2 + 0 - 1/4*j = 0.
0, 1
Suppose 3*j - 8 = -5*o + 2, -2*j + 3*o = -32. Suppose -26*t = -31*t + j. Find h, given that -2/3*h**3 - 1/3*h**4 + 1/3*h - 1/3 + 2/3*h**t + 1/3*h**5 = 0.
-1, 1
Let s(h) be the first derivative of -h**9/4536 - h**8/1260 - h**7/1260 + 13*h**3/3 - 4. Let k(u) be the third derivative of s(u). Factor k(f).
-2*f**3*(f + 1)**2/3
Let q(g) be the second derivative of -g**5/70 - g**4/6 - 2*g**3/7 - 241*g. Let q(v) = 0. Calculate v.
-6, -1, 0
Let w(u) be the third derivative of u**5/90 - 47*u**4/18 + 2209*u**3/9 - 27*u**2 + 1. Factor w(z).
2*(z - 47)**2/3
Let x(p) be the first derivative of -2*p**3/3 + 8*p**2 - 14*p - 577. Factor x(a).
-2*(a - 7)*(a - 1)
Let k be (359 - 359)/(9 + 1). Solve 2/21*r + k - 2/21*r**2 = 0 for r.
0, 1
Let z be (18/(-10))/(3/(-2)). Let r be (-3 + 11)/(2*4*80/64). Factor -z*x - r - 2/5*x**2.
-2*(x + 1)*(x + 2)/5
Let z(n) be the third derivative of 0 + 1/2*n**4 - 1/70*n**7 + 2*n**3 + n**2 + 0*n - 1/10*n**6 - 3/20*n**5. Let z(g) = 0. Calculate g.
-2, -1, 1
Determine b, given that -108*b - 74*b + 30 + 207*b + 5*b**2 = 0.
-3, -2
Let g = -3 + 5. Suppose -i - 2*n = i - 30, 4*i - 4*n - 68 = 0. Factor -o**g - 2*o + i + 5*o**2 - 14*o.
4*(o - 2)**2
Let i be (-35)/(-70) + 251/(-290). Let l = 30/29 - i. Factor 3/5*u**3 + 2/5*u**2 - l