p**3 = 0.
-9, -1, 1
Factor 3*h**3 + 3/7*h + 9/7*h**4 + 0 + 15/7*h**2.
3*h*(h + 1)**2*(3*h + 1)/7
Let d(b) be the first derivative of 16*b**5/5 + 14*b**4 + 19*b**3 + 19*b**2/2 + 2*b + 19. Suppose d(q) = 0. What is q?
-2, -1, -1/4
Let k(v) be the third derivative of v**5/690 + 7*v**4/276 + 2*v**3/23 - 397*v**2. Find l such that k(l) = 0.
-6, -1
Let p(u) be the third derivative of 0*u**3 + 1/70*u**7 + 1/12*u**4 + 0 - 1/60*u**6 - 1/20*u**5 + 0*u - 12*u**2. Factor p(w).
w*(w - 1)*(w + 1)*(3*w - 2)
Let i(d) be the third derivative of d**5/90 + 11*d**4/54 + 8*d**3/9 + 107*d**2. Factor i(x).
2*(x + 6)*(3*x + 4)/9
Suppose 21*l - 29*l = -40. Let v be (-63)/l*1*(-7)/21. Solve -36/5*t + 24/5 + 9/5*t**4 + v*t**3 - 18/5*t**2 = 0.
-2, 2/3, 1
Factor -364/11*z + 16/11 + 90/11*z**2.
2*(z - 4)*(45*z - 2)/11
Suppose -1103*x = -1097*x. Let d(s) be the first derivative of x*s + 2/3*s**3 - 2*s**2 + 7. Factor d(v).
2*v*(v - 2)
Suppose 5*d = 56013 - 55998. Find z, given that -8/9*z + 2/9*z**4 - 8/9*z**2 + 0 + 2/9*z**d = 0.
-2, -1, 0, 2
Let f(l) be the third derivative of l**6/60 + 41*l**5/30 + 79*l**4/12 + 13*l**3 - 29*l**2. What is c in f(c) = 0?
-39, -1
Let l(n) be the second derivative of n**7/21 - 5*n**6/3 + 69*n**5/5 + 151*n**4/3 - 923*n**3/3 + 507*n**2 - 6*n - 26. Determine s so that l(s) = 0.
-3, 1, 13
Let a(l) be the second derivative of -l**5/120 - l**4/16 + l**3/3 - 5*l**2 - 3*l. Let v(c) be the first derivative of a(c). Factor v(y).
-(y - 1)*(y + 4)/2
Let r(p) = 5*p**4 + 15*p**3 - 170*p**2 - 205*p + 360. Let a(u) = -3*u**4 - 7*u**3 + 85*u**2 + 103*u - 180. Let w(k) = 5*a(k) + 2*r(k). Factor w(t).
-5*(t - 4)*(t - 1)*(t + 3)**2
Factor 125 + 4*y**2 - 2*y**2 - 44*y + 6*y**2 - 4*y**2 - 29.
4*(y - 8)*(y - 3)
Suppose g + 1 - 3 = 0. Factor 5*q**2 - q**g + 13*q - 21*q.
4*q*(q - 2)
Let v(s) be the first derivative of -3*s**6/2 + 15*s**5 - 213*s**4/4 + 87*s**3 - 69*s**2 + 24*s + 640. Solve v(f) = 0 for f.
1/3, 1, 2, 4
Let s be (0*(-4)/(-12))/5. Let a(u) be the third derivative of 0*u + s + 1/12*u**4 + 1/15*u**6 - u**2 + 0*u**3 - 1/6*u**5. Solve a(d) = 0 for d.
0, 1/4, 1
Let q(l) be the first derivative of 14*l**5/5 + 65*l**4/2 - 104*l**3/3 - 20*l**2 - 649. Factor q(w).
2*w*(w - 1)*(w + 10)*(7*w + 2)
Let r(d) be the second derivative of 7*d**6/300 - 3*d**5/200 - 7*d**4/120 + d**3/20 + 6*d + 28. Factor r(z).
z*(z - 1)*(z + 1)*(7*z - 3)/10
What is f in 1/3*f**2 + 8/3*f + 7/3 = 0?
-7, -1
Suppose -31*u - 25*u - 2 = -57*u. Solve 40/7*d**2 - 36/7*d**3 + 0 - 16/7*d + u*d**4 - 2/7*d**5 = 0 for d.
0, 1, 2
Let h(i) = i**3 + i. Let n(y) = 8*y**3 - 12*y**2 + 52*y. Let j(x) = -12*h(x) + n(x). Factor j(t).
-4*t*(t - 2)*(t + 5)
Let m(s) be the third derivative of s**4/12 - 10*s**3/3 - 7*s**2. Let r be m(17). Suppose -30*y - 4*y**2 - 2*y**3 + r*y + 16*y + 2*y**4 = 0. What is y?
-1, 0, 2
Let j(r) = -r**3 - r + 1. Let v(n) = 8*n**3 + 8*n**2 + 16*n - 2. Suppose 2*o = 2 - 4. Let d(m) = o*v(m) - 6*j(m). Factor d(z).
-2*(z + 1)**2*(z + 2)
Factor 6*b**2 - 9*b**2 - 165*b + b**2 - 187*b.
-2*b*(b + 176)
Let o(w) = w**2 + 7*w + 10. Let t be o(-6). Factor -46*f + 8*f**3 + 46*f - 20*f**t - 28*f**5.
-4*f**3*(f + 1)*(7*f - 2)
Suppose -72/13 - 30/13*f - 2/13*f**2 = 0. What is f?
-12, -3
Let r(d) be the first derivative of d**5/5 - 2*d**4/3 + 2*d**3/3 + 11*d - 15. Let x(l) be the first derivative of r(l). Factor x(c).
4*c*(c - 1)**2
Let l = 1852 - 37037/20. Let k(q) be the second derivative of -l*q**5 + 0*q**2 + 0*q**3 + 9*q + 0 + 1/4*q**4. Determine j, given that k(j) = 0.
0, 1
Factor 44*m**3 + 0*m + 25/2*m**4 + 42*m**2 + 0 + 1/2*m**5.
m**2*(m + 2)**2*(m + 21)/2
Let a(q) = q**3 + q**2 + q. Let t(v) = 7*v**5 - 9*v**4 - 15*v**3 + v**2 - 3*v. Let b be (-2)/(2 - 4) + (11 - 9). Let k(r) = b*a(r) + t(r). Factor k(d).
d**2*(d - 2)*(d + 1)*(7*d - 2)
Let r(b) be the first derivative of 3*b**4/40 - b**3/15 - 3*b**2/20 + b/5 + 210. Factor r(l).
(l - 1)*(l + 1)*(3*l - 2)/10
Let v(q) be the second derivative of -1/24*q**4 + 0*q**3 - 20*q + q**2 + 0. Factor v(o).
-(o - 2)*(o + 2)/2
Suppose -7*d - 26 = 16. Let z be (-63)/(-30) + 9/d. Suppose -12/5*q**2 - 12/5*q**4 + 3/5*q**5 + 0 + z*q + 18/5*q**3 = 0. What is q?
0, 1
Let f = -23 + 93. Determine i, given that f*i**3 + 54*i**2 + 62*i**2 + 30*i**4 + 3*i**5 + 45*i + 10 - 36*i**2 + 2*i**5 = 0.
-2, -1
Let f = -1/2509 + 5027/22581. Factor 2/9*n**3 + f*n**2 - 10/9*n + 2/3.
2*(n - 1)**2*(n + 3)/9
Let h(t) = 5*t**4 - 13*t**3 + 15*t**2 - 3*t - 2. Let m(a) = -135*a**4 + 350*a**3 - 405*a**2 + 80*a + 55. Let l(c) = 55*h(c) + 2*m(c). Factor l(d).
5*d*(d - 1)**3
Let d(b) be the third derivative of -1/42*b**7 + 0*b + 10/3*b**3 + 5/6*b**4 + 0 + 23*b**2 - 1/6*b**6 - 1/4*b**5. What is h in d(h) = 0?
-2, -1, 1
Suppose -12 + 13 = l. Let v be (8 - 2/l)/3. Factor 2*o - 1/2*o**v + 0.
-o*(o - 4)/2
Let j(o) = -o**2 + 2*o - 13. Let d(n) = -4*n**2 + 8*n - 66. Let y(c) = 6*d(c) - 28*j(c). Factor y(r).
4*(r - 4)*(r + 2)
Let w(i) be the first derivative of -3*i**5/5 - 9*i**4/4 + 30*i**3 + 192*i**2 + 288*i - 225. Factor w(b).
-3*(b - 6)*(b + 1)*(b + 4)**2
Let g(j) = -7*j**2 + 2*j + 5. Let l(q) = q**2 - 1. Let a = -31 - -37. Let w(f) = a*l(f) + g(f). Factor w(z).
-(z - 1)**2
Factor 3*s**2 + 3/7*s**3 + 33/7*s + 15/7.
3*(s + 1)**2*(s + 5)/7
Factor -2/3 + 2*c**2 - 4/3*c.
2*(c - 1)*(3*c + 1)/3
Let k(x) be the third derivative of -x**7/350 + 3*x**6/100 - 13*x**5/100 + 3*x**4/10 - 2*x**3/5 - 20*x**2 - 2*x. Factor k(m).
-3*(m - 2)**2*(m - 1)**2/5
Let k(f) = -22*f**2 - 141*f - 54. Let u be k(-6). Factor 0*l + u*l**2 + 6*l**3 + 0 - 3/2*l**4.
-3*l**3*(l - 4)/2
Let s be (-5)/(-20) - (-26)/24. Let l be (-40)/(-18) - (-64)/(-288). Factor 17/3*k**l - 3/2*k**3 - 14/3*k - s.
-(k - 2)**2*(9*k + 2)/6
Let t(p) = -4*p**3 + 38*p**2 - 34*p. Let d(h) = -h**2 + h. Let f(w) = -2*d(w) - t(w). Solve f(g) = 0 for g.
0, 1, 8
Let y(u) be the second derivative of -u**5/60 + u**4/24 - 7*u**2/2 - 8*u. Let v(n) be the first derivative of y(n). What is m in v(m) = 0?
0, 1
Factor 3/4*h + 1 - 1/4*h**2.
-(h - 4)*(h + 1)/4
Let x(l) be the second derivative of 0*l**2 - l**3 - 5/12*l**4 - 1/20*l**5 + 7*l + 0. What is a in x(a) = 0?
-3, -2, 0
Let b(m) be the third derivative of -m**6/420 + 2*m**5/105 + 19*m**4/84 + 2*m**3/3 - 15*m**2. Factor b(a).
-2*(a - 7)*(a + 1)*(a + 2)/7
Let g(k) be the second derivative of 5*k**7/6 + 29*k**6/3 - 47*k**5/4 - 15*k**4/2 - 115*k + 3. Let g(w) = 0. Calculate w.
-9, -2/7, 0, 1
Let r(o) = 12*o**2 - 9*o**2 - 2*o**2. Let b(w) = w**2 + 14*w + 16. Let s(p) = b(p) - 3*r(p). Factor s(q).
-2*(q - 8)*(q + 1)
Let l(p) be the second derivative of -p**4/4 + 4*p**3 - 45*p**2/2 - 48*p + 1. Factor l(c).
-3*(c - 5)*(c - 3)
Suppose -39 = -5*m - 4*w, 14*m - 10*m - 6 = w. Factor 0 + 3/2*o**3 + 0*o + m*o**2.
3*o**2*(o + 2)/2
Let m = -33667/27 + 1247. Let g(c) be the second derivative of 6*c + 0 + 0*c**2 + 0*c**3 - 1/90*c**5 + m*c**4. Factor g(n).
-2*n**2*(n - 4)/9
Let g = 113 - 110. Let j be 1/g - 5/(-30). Find f such that 0 + 0*f - f**3 + 1/2*f**4 + j*f**2 = 0.
0, 1
What is l in 1/6*l**2 + 7/2 + 5/3*l = 0?
-7, -3
Let m(z) be the third derivative of -z**5/60 + 7*z**4/8 + 282*z**2 + z. Let m(p) = 0. What is p?
0, 21
Solve -12*c**2 - 14*c**3 - 16 + 24*c - 19*c**3 + 35*c**3 = 0.
2
Let c(z) = -223*z + 20516. Let m be c(92). Solve m + 0*s + 28/9*s**2 - 2/9*s**3 = 0 for s.
0, 14
Let x(b) be the second derivative of 9/16*b**2 - 1/32*b**4 + 0 - 1/8*b**3 - 4*b. Factor x(u).
-3*(u - 1)*(u + 3)/8
Let d(q) be the first derivative of -5*q**7/168 + 11*q**6/36 - 7*q**5/6 + 5*q**4/3 + 4*q**3 + 2. Let o(a) be the third derivative of d(a). Factor o(y).
-5*(y - 2)**2*(5*y - 2)
Let w(a) = a - 17. Let q be w(5). Let h be ((-27)/48 + 0)*16/q. Factor 9/4 + 3/2*s - h*s**2.
-3*(s - 3)*(s + 1)/4
Let n(h) be the first derivative of -4*h**5/5 - 8*h**4 - 20*h**3 + 16*h**2 + 64*h - 24. Suppose n(t) = 0. What is t?
-4, -1, 1
Let k(s) be the second derivative of s**3/2 - 5*s**2 - 5*s. Let g be k(4). Factor -g + 4*h**3 - 2*h**4 - 5*h + 6*h**4 + h**5 + 0*h - 2*h**2.
(h - 1)*(h + 1)**3*(h + 2)
Suppose 9/4*c - 3/4*c**2 + 0 = 0. What is c?
0, 3
Suppose -4*k - 20 = 3*v, 6*k - 4*k = 5*v - 10. Factor 6/5*r**2 + v + 0*r + 2/5*r**3.
2*r**2*(r + 3)/5
Solve 64 - 16/3*o + 1/6*o**3 - 5/3*o**2 = 0.
-6, 8
Let r(b) = -110*b + 440. Let k be r(4). Suppose k*g**3 + 0 + 2/