ivative of l**7/18900 - l**6/1350 + l**4/12 - 15*l**2. Let a(y) be the second derivative of u(y). Solve a(w) = 0.
0, 4
Factor 94*t**3 + 0*t**2 - t**2 - 95*t**3.
-t**2*(t + 1)
Let j(o) be the third derivative of -o**5/15 - 6*o**4 - 70*o**3/3 + 26*o**2. Solve j(n) = 0.
-35, -1
Let j(x) be the first derivative of x**6/6 - 2*x**5/5 + 2*x**3/3 - x**2/2 - 181. Factor j(r).
r*(r - 1)**3*(r + 1)
Suppose 2*w = 7*w - 110. Let v be 4366/7 - w/(-77). Solve 48 - 89*b**5 - 226*b**4 + 336*b + 121*b**4 + v*b**3 + 792*b**2 - 136*b**5 = 0 for b.
-1, -2/3, -2/5, 2
Solve 220/7 + 2/7*m**2 - 6*m = 0.
10, 11
Let l be (4/(-2))/(5 + 235/(-30)). Factor l*h**3 + 0 - 2/17*h**2 - 18/17*h**4 + 8/17*h**5 + 0*h.
2*h**2*(h - 1)**2*(4*h - 1)/17
Solve 1/9*l**3 + 2/9*l**2 + 0*l + 0 = 0.
-2, 0
Let p(x) = 2*x**4 + x**2 + 6. Let v(k) = 3*k**4 + k**3 + 2*k**2 + 13. Let l = -13 + 7. Let r(y) = l*v(y) + 13*p(y). Let r(s) = 0. What is s?
0, 1/4, 1/2
Factor -5*c**5 - 50*c**2 + 20*c**4 + 30*c**3 + 8 - 105*c - 21 - 32 - 5*c**4.
-5*(c - 3)**2*(c + 1)**3
Let y(v) be the first derivative of -v**8/10080 + v**6/2160 - 5*v**3 - 13. Let z(m) be the third derivative of y(m). Solve z(r) = 0 for r.
-1, 0, 1
Let n(x) be the first derivative of 21*x**5/5 + 3*x**4 - 10*x**3 - 6*x**2 + 9*x - 13. Factor n(a).
3*(a - 1)*(a + 1)**2*(7*a - 3)
Let m(z) be the first derivative of -z**6/180 + 3*z**5/20 + 5*z**4/6 + 31*z**3/3 - 33. Let o(u) be the third derivative of m(u). What is k in o(k) = 0?
-1, 10
Suppose 12*g + 153 - 465 = 0. Factor 1 - g*a**2 - 18*a - 27*a**2 + 26 + 56*a**2.
3*(a - 3)**2
Let k be 8 - (-12 + 5) - 10. Factor 0*u**3 + 0*u + 0*u**2 + 7/2*u**k + 0 - u**4.
u**4*(7*u - 2)/2
Factor -604 + 9*j**4 - j**5 - 18*j - 9*j**3 + 4*j**5 - 33*j**2 + 604.
3*j*(j - 2)*(j + 1)**2*(j + 3)
Let p = 31 + -23. Suppose -p*j = -7*j. Factor 9*w - 7*w + j*w**4 - w**4 + 1 - 2*w**3.
-(w - 1)*(w + 1)**3
Let p(v) = -40*v**3 + 1275*v**2 + 17835*v - 65325. Let r(x) = 11*x**3 - 319*x**2 - 4459*x + 16331. Let g(w) = -4*p(w) - 15*r(w). Factor g(m).
-5*(m - 3)*(m + 33)**2
Let k(p) be the second derivative of 2/27*p**4 + 8*p + 0*p**2 + 0 - 4/27*p**3 + 1/30*p**5 + 1/189*p**7 - 4/135*p**6. Find f, given that k(f) = 0.
-1, 0, 1, 2
Suppose -2*a - 2*o = -4, 3*o + 4 = 2*a - 0*o. Let g be 2/a - (-4)/4. Let 0*w + 8*w - 2*w**2 + 2 - g*w + 6*w**2 = 0. What is w?
-1, -1/2
Let x(o) be the second derivative of o**4/90 - 62*o**3/45 + 961*o**2/15 - 134*o. Factor x(r).
2*(r - 31)**2/15
Factor 13/6 + 2*w - 1/6*w**2.
-(w - 13)*(w + 1)/6
Let r = -17 + 89. Factor -3*d**4 + 40*d + 38*d - r*d + 9*d**2.
-3*d*(d - 2)*(d + 1)**2
Let q(m) be the third derivative of m**6/30 - 28*m**5/15 + 53*m**4/6 - 52*m**3/3 - 2*m**2 + 9*m. Determine k, given that q(k) = 0.
1, 26
Let w(m) = m - 82. Let o be w(10). Let h = o - -77. What is a in 0*a - a**3 + 0*a**4 + 0 + 1/3*a**h - 2/3*a**2 = 0?
-1, 0, 2
Let m = 23 - 15. Let s be (-4)/20*-5*m. Find b such that -9*b**2 + 3*b**3 + 5 + s - 13 = 0.
0, 3
Let o(x) be the third derivative of -27*x**7/280 - 3*x**6/20 - x**5/10 - x**4/3 - 5*x**2. Let d(l) be the second derivative of o(l). Factor d(p).
-3*(9*p + 2)**2
Let d(z) = -10*z**2 + 24*z + 10. Let v(h) = -4*h**2 + 10*h + 4. Let x(f) = -5*d(f) + 12*v(f). Solve x(n) = 0 for n.
-1, 1
Let z(d) be the third derivative of -d**8/3360 - d**7/5040 + d**4/24 - d**3/2 - 2*d**2 + 20. Let t(s) be the second derivative of z(s). Factor t(m).
-m**2*(4*m + 1)/2
Let c(w) be the second derivative of 0 - 3*w**2 - 1/6*w**4 + 3*w + 4/3*w**3. Factor c(o).
-2*(o - 3)*(o - 1)
Let y(r) be the third derivative of r**6/24 + r**5/4 + 5*r**4/8 + 5*r**3/6 + 2*r**2 - 184. Factor y(g).
5*(g + 1)**3
Factor 20/3*p**2 - 88/3 + 436/3*p.
4*(p + 22)*(5*p - 1)/3
Suppose 94 - 92 = s. Factor -97*a**2 + 46*a**s + 16*a**3 - 10*a**4 + 2*a**5 + 43*a**2.
2*a**2*(a - 2)**2*(a - 1)
Factor 2*m**2 + 2*m**2 - 1084*m**4 + 1088*m**4 - 8 + 12*m - 12*m**3.
4*(m - 2)*(m - 1)**2*(m + 1)
Let p(d) = -2*d**3 - 2*d**2 - 3*d - 12. Let y be p(4). Let q = y + 739/4. Suppose q*g**2 - 3/2 + 3/4*g = 0. Calculate g.
-2, 1
Let m(h) = -5*h - 15. Let q be m(-3). Let c(k) be the first derivative of 0*k**2 + 0*k**3 - 5 - 2/5*k**5 + q*k**4 - 1/3*k**6 + 0*k. Find s, given that c(s) = 0.
-1, 0
Let -13122/11 - 42/11*q**4 - 180/11*q**3 + 4374/11*q - 2/11*q**5 + 972/11*q**2 = 0. Calculate q.
-9, 3
Let g(w) be the first derivative of 5*w**3/9 + w**2/6 - 25. Let g(s) = 0. What is s?
-1/5, 0
Suppose -4*o - 29 + 93 = 0. Find x such that 8*x**3 - 11*x - 4*x**5 - o*x + 23*x = 0.
-1, 0, 1
Let g(a) be the first derivative of 80*a**2 + 20*a + 245/4*a**4 + 385/3*a**3 + 1. Factor g(t).
5*(t + 1)*(7*t + 2)**2
Let j be -14 - (-770)/50 - 4/(-1). Factor 3/5*p**3 + j*p - 18/5*p**2 - 12/5.
3*(p - 4)*(p - 1)**2/5
Let v be (-2)/4 - ((-763)/(-226))/(-7). Let l = v + 349/565. Suppose -l*i + 1/5*i**2 + 0 + 3/5*i**3 - 1/5*i**4 = 0. What is i?
-1, 0, 1, 3
Let l(x) = 0*x**2 - x**2 + 0*x**2 - 6 - 7*x + 0*x**2. Let s be l(-5). Solve -8*a + 3*a**2 - 4*a**2 - a**s - 13 - 2*a**4 + 8*a**3 + 17 = 0.
-1, 2/3, 1, 2
Let n(f) be the third derivative of f**8/2688 - f**7/35 + 17*f**6/120 - 7*f**5/80 - 137*f**4/192 + 15*f**3/8 - 517*f**2 + f. Let n(g) = 0. Calculate g.
-1, 1, 2, 45
Let v(f) be the third derivative of -f**8/19320 - f**7/9660 - 3*f**3/2 - 13*f**2. Let u(b) be the first derivative of v(b). Factor u(p).
-2*p**3*(p + 1)/23
Let r(a) be the first derivative of a**4/22 + 8*a**3/33 - a**2/11 - 8*a/11 + 3. Find u, given that r(u) = 0.
-4, -1, 1
Suppose 0*s = -3*s + 6. Suppose -5*a - 3404 + 3419 = 0. Solve 3/2*p**4 + 1 - 11/2*p - 13/2*p**a + 19/2*p**s = 0.
1/3, 1, 2
Let o be ((50/(-4))/5)/(9 + -9 + -5). Let -1/2*w**2 + 1/2*w + o - 1/2*w**3 = 0. Calculate w.
-1, 1
Suppose 7*x - 11 = -7*x + 45. Factor -1/2*d**3 + 1/4*d**x + 0 + 0*d + 1/4*d**2.
d**2*(d - 1)**2/4
Suppose -1 = -f - 5*g - 3, -2*f + 4 = 2*g. Suppose -1 - 6 = -j + 2*b, 3*b = f*j - 18. Let -8/5*l**4 - 2/5 - 4/5*l**3 + l**j - 1/5*l + 2*l**2 = 0. Calculate l.
-1, -2/5, 1
Let v(x) = -46*x**4 - 161*x**3 - 191*x**2 - 29*x - 22. Let m(i) = 9*i**4 + 32*i**3 + 38*i**2 + 6*i + 4. Let a(f) = -22*m(f) - 4*v(f). Solve a(q) = 0.
-2, -2/7, 0
Let m(z) be the second derivative of -7*z**5/90 + z**4/6 - 2*z**3/27 - 27*z. Suppose m(r) = 0. What is r?
0, 2/7, 1
Let j(t) = 5*t**5 - 2*t**4 - 12*t**3 - 2*t**2 + 3*t + 2. Let z(p) = -p**4 - p**3 - p**2 - p + 1. Let x(c) = j(c) - 2*z(c). Factor x(o).
5*o*(o - 1)**2*(o + 1)**2
Let u(x) be the first derivative of 0*x**2 + 2/21*x**3 - 2/35*x**5 + 0*x - 5 - 1/14*x**4 + 1/21*x**6. Factor u(c).
2*c**2*(c - 1)**2*(c + 1)/7
Let h(p) be the first derivative of 77/2*p**4 + 500*p - 42 + 775*p**2 + 270*p**3 + 2*p**5. Factor h(n).
2*(n + 5)**3*(5*n + 2)
Let -9/7 - 6/7*b + 3/7*b**2 = 0. What is b?
-1, 3
Let g(l) be the first derivative of l**5/10 - 3*l**4/8 - 2*l**3/3 + 3*l**2 - 130. Suppose g(x) = 0. What is x?
-2, 0, 2, 3
Let o = 323 - 320. Let k(y) be the first derivative of -1/3*y**2 + 0*y - 2 + 0*y**o + 1/6*y**4. Factor k(x).
2*x*(x - 1)*(x + 1)/3
Let a(f) be the second derivative of f**5/20 + 7*f**4/12 + 7*f**3/6 + 9*f**2/2 - 10*f. Let q be a(-6). Factor 0*n**2 + 3*n**4 - q*n**3 + n**5 - 3*n**2 + 2*n**5.
3*n**2*(n - 1)*(n + 1)**2
Let a(p) be the third derivative of p**5/4 - 11*p**4/24 - 4*p**3/3 + 4*p**2. Let o(q) = -240*q**2 + 177*q + 129. Let g(y) = -33*a(y) - 2*o(y). Factor g(i).
-3*(i - 1)*(5*i + 2)
Let p(w) = -26*w**4 - 32*w**3 - 20*w**2 - 14*w. Let f(x) = -35*x**3 - 9*x**4 - 5*x - 5*x**2 - 2*x**2 + 24*x**3. Let d(b) = 17*f(b) - 6*p(b). Factor d(s).
s*(s + 1)**2*(3*s - 1)
Let f be 4/(-38) - (-472)/(-2014). Let p = -1/159 - f. Solve 0 + 2/3*k**3 - 2/3*k - 1/3*k**4 + p*k**2 = 0 for k.
-1, 0, 1, 2
Suppose 2*a = 4*u - 106, 4*u - 7*a + 10*a = 91. Suppose -25 + u = x. Suppose 0*w + x + 0*w**3 - 1/2*w**4 + 1/2*w**2 = 0. Calculate w.
-1, 0, 1
Let a(v) be the second derivative of -v**6/45 + v**4/6 - 2*v**3/9 - 25*v. Factor a(q).
-2*q*(q - 1)**2*(q + 2)/3
Let f(p) = -p**3 + 9*p**2 - 12*p + 31. Let z be f(8). Let u be (6 + 0 + -6)/z. Solve u + 1/10*n**3 - 1/10*n - 1/10*n**4 + 1/10*n**2 = 0.
-1, 0, 1
Determine h so that 9/2*h - 1/12*h**3 - 25/12*h**2 + 0 = 0.
-27, 0, 2
Let u(d) be the third derivative of -d**6/120 - d**5/20 - d**4/8 + 4*d**3 - 17*d**2. Let x(y) be the first derivative of u(y). Factor x(a).
-3*(a