/5*o**3 - 60 - 3/5*o**4 - 423/5*o**2 = 0.
-10, -1
Let t(y) be the third derivative of 9*y**2 - 1/2*y**3 + 0 + 0*y - 1/20*y**5 - 1/4*y**4. Solve t(l) = 0.
-1
What is y in -6/13*y**2 + 0*y + 2/13*y**3 + 8/13 = 0?
-1, 2
Factor 202*s - 3*s**3 - 6*s**3 - 3*s**3 + 32 + 80*s**2 - 78*s.
-4*(s - 8)*(s + 1)*(3*s + 1)
Find j such that 21 - 22*j**2 - 46 + 45*j - 5*j**3 + 7*j**2 = 0.
-5, 1
Let p(x) be the third derivative of 3/16*x**4 + 34*x**2 + 0 + 1/4*x**3 + 0*x - 1/10*x**5. Determine g, given that p(g) = 0.
-1/4, 1
Suppose 5*d - 2*d = 6. Let l = 11 + -9. Factor 0*n + 2*n - l*n**d - 5*n - n**2.
-3*n*(n + 1)
Determine i, given that -4/9*i - 2/9 - 2/9*i**2 = 0.
-1
Let u(k) be the second derivative of -k**6/72 - k**5/8 + 5*k**4/6 + 5*k**3/6 - 14*k. Let q(x) be the second derivative of u(x). Factor q(v).
-5*(v - 1)*(v + 4)
Let k(o) be the first derivative of o**8/560 - o**6/40 - o**5/20 + 8*o**3/3 + 21. Let w(s) be the third derivative of k(s). What is y in w(y) = 0?
-1, 0, 2
Let c be 6/27 + 7/9. Suppose -x = -4 + c. Find k, given that 6*k + 3*k - 150*k**x + 972*k**5 - 243*k**4 - k - 135*k**4 + 32*k**2 = 0.
-2/9, 0, 1/3, 1/2
Let n(s) be the third derivative of -5*s**8/48 + 22*s**7/21 - 19*s**6/24 - 83*s**5/6 - 40*s**4/3 + 80*s**3/3 - 134*s**2 + 1. Find p such that n(p) = 0.
-1, 2/7, 4
Let j = -2/125 + 35629/250. Let g = -142 + j. Factor -1/4*n**3 + 0 + g*n**4 + 0*n**2 - 1/4*n**5 + 0*n.
-n**3*(n - 1)**2/4
Let i(k) = -2*k**2 + 42*k - 37. Let s be i(20). Let l = 1 - -1. Factor -3*o**3 + 2*o**s + o**3 - o**3 + 2*o**l - o.
-o*(o - 1)**2
Suppose -2/11*r**4 - 96/11 - 14*r**2 + 20*r + 32/11*r**3 = 0. What is r?
1, 6, 8
Let l(h) = h**2 + 11*h + 9. Let x be l(-11). Let t be (6/x)/(-1)*18/(-10). Find r, given that 3/5 + t*r + 3/5*r**2 = 0.
-1
Let y(i) be the second derivative of i**6/30 - 2*i**5/15 + i**4/6 + 7*i**2/2 + 9*i. Let g(x) be the first derivative of y(x). Factor g(f).
4*f*(f - 1)**2
Let m(i) be the third derivative of -i**5/420 - i**4/3 - 55*i**3/42 - 428*i**2. Factor m(k).
-(k + 1)*(k + 55)/7
Let a(b) be the first derivative of 0*b - 4*b**2 - 1 + 2/3*b**3. Factor a(j).
2*j*(j - 4)
Let m = 55 + -55. Let h be m/(5 - (-1 - (-4 - -1))). Factor 3/5*i**3 - 3/5*i**5 + 3/5*i**2 - 3/5*i**4 + h*i + 0.
-3*i**2*(i - 1)*(i + 1)**2/5
Let f(a) be the third derivative of a**8/1120 - a**7/560 + 2*a**3/3 - 2*a**2. Let d(c) be the first derivative of f(c). Factor d(r).
3*r**3*(r - 1)/2
Let y = 4 - 57. Let x = 213/4 + y. Factor x*p + 1/4*p**2 - 1/4*p**3 - 1/4*p**4 + 0.
-p*(p - 1)*(p + 1)**2/4
Factor -1/7*m**2 - 28 + 4*m.
-(m - 14)**2/7
Let -36*h - 10*h**3 + 70*h - 29*h - 2 + 64*h**2 + 22 - 79*h = 0. Calculate h.
2/5, 1, 5
Suppose -569*b + 3495 = 411*b - 11205. Factor b*r**2 + 23/2*r**3 + 2*r - 4 + 5/2*r**4.
(r + 1)*(r + 2)**2*(5*r - 2)/2
Let f = -13521/3091 - -3/281. Let k = 188/33 + f. Find c, given that -2/3*c**4 - 2/3 + 2/3*c**5 - k*c**3 + 2/3*c + 4/3*c**2 = 0.
-1, 1
Let w(s) be the first derivative of -33*s**5/20 + s**4/2 + 13*s - 29. Let d(y) be the first derivative of w(y). Factor d(g).
-3*g**2*(11*g - 2)
Find c, given that 221/9*c + 35/9*c**3 - 107/3*c**2 + 578/9 - 1/9*c**4 = 0.
-1, 2, 17
Suppose 4*w + 0 = 4*d + 4, -13 = -3*d - w. Determine k so that -2*k**d + 3*k - 8*k + 5*k + 6*k**2 = 0.
0, 3
Find y, given that 185*y**2 + 213 - 33 - 9*y**3 + 3*y**3 - 14*y**3 - 5*y**4 - 340*y = 0.
-9, 1, 2
Let k be -16*-3*(-1)/(-2). Let j = -21 + k. Suppose -4*m**2 - 8*m**4 + m**5 - 3*m**5 - 10*m**j + 0*m**4 = 0. What is m?
-2, -1, 0
Let q be (3 - 2)/(15/30). Let f(n) be the third derivative of n**q - 1/54*n**4 + 0*n**3 - 1/945*n**7 + 1/270*n**6 + 0 + 1/270*n**5 + 0*n. Solve f(h) = 0.
-1, 0, 1, 2
Let j(c) be the second derivative of 5*c**4/2 + 47*c**3/3 + 6*c**2 - 28*c + 13. Suppose j(y) = 0. Calculate y.
-3, -2/15
Solve -64/7*n**3 + 20/7*n**4 - 2/7*n**5 + 0*n + 0 + 64/7*n**2 = 0 for n.
0, 2, 4
Let z be 4/7 - (-99)/(-1386). Let v(l) be the first derivative of -1/3*l**3 + 2*l - z*l**2 - 7. Factor v(a).
-(a - 1)*(a + 2)
Suppose -26*w + 30*w = 8. Suppose a - w*a = -2*i - 5, 3*i + 3 = 0. Factor 0*x + 0*x**2 + 1/2*x**4 + 1/2*x**a + 0.
x**3*(x + 1)/2
Suppose 4*p - y - 34 = -4, -4*p - 5*y = -42. Suppose -p*s + 17*s**2 - s**3 - 4*s**4 - 5*s**2 + s**3 = 0. What is s?
-2, 0, 1
Let x be 32/5*63/126. Factor -16/5*g**4 - 76/5*g**2 - x - 56/5*g - 2/5*g**5 - 10*g**3.
-2*(g + 1)**2*(g + 2)**3/5
Let r(t) be the third derivative of 7*t**7/12 - 7*t**6/240 - 27*t**5/20 - 17*t**4/12 - 2*t**3/3 + t**2 + 60*t. Solve r(g) = 0 for g.
-2/5, -2/7, 1
Let c be 2/(-12) - 1546/12. Let s = -385/3 - c. Find t, given that s - 1/3*t**2 - 1/3*t**4 - t**3 + t = 0.
-2, -1, 1
Let a(c) = 2*c**2 + 12*c - 12. Let x(b) = 114 - 3*b**2 - 3*b**2 - 37*b - 78. Let p(m) = -7*a(m) - 2*x(m). Let p(y) = 0. What is y?
-6, 1
Let -232*y - 369*y - 269*y + 378*y**2 + 274*y + 4*y**3 - 86*y**2 + 300 = 0. Calculate y.
-75, 1
Let w = 1/1328 + 659/6640. Let u(x) be the first derivative of -2/15*x**3 + w*x**4 + 0*x + 0*x**2 + 7. Let u(h) = 0. What is h?
0, 1
Let q(m) be the third derivative of 0*m + 0*m**3 + 1/90*m**6 + 0 + 1/9*m**5 - 12*m**2 + 2/9*m**4. Solve q(y) = 0.
-4, -1, 0
Find a such that -10*a**2 - 5*a + 307 - 287 + 5*a**3 - 7*a**2 - 3*a**2 = 0.
-1, 1, 4
Suppose -3*h + 45 = -4*r + 5, h = 0. Let o be (-4)/r + 32/(-80). Factor o*z + 0*z**2 - 3/5*z**4 - 3/5*z**5 + 0 + 0*z**3.
-3*z**4*(z + 1)/5
Suppose 2*o + 6 = -3*g, -g = -2*g - 3*o - 9. Let f(d) be the second derivative of g - 3*d - 1/6*d**4 + 4/3*d**3 - 4*d**2. Factor f(k).
-2*(k - 2)**2
Let y be ((-4)/(-3))/(2/3). Let i be (-4)/(-2) + (y - 0). Determine m so that 2*m + i*m**3 + m**2 - 3*m**3 - 6*m**3 - 7*m**3 + 9*m**4 = 0.
-1/3, 0, 2/3, 1
Let a be -39*(-27)/15795 + 22/570. Solve -8/19*z + a + 6/19*z**2 = 0.
1/3, 1
Let r(f) be the first derivative of 0*f + 8 + 1/9*f**2 + 1/18*f**4 + 4/27*f**3. Factor r(k).
2*k*(k + 1)**2/9
Let h(v) be the third derivative of 0*v**4 + 1/100*v**6 + 0*v + 0 + 12*v**2 + 1/75*v**5 + 0*v**3 + 1/525*v**7. Let h(u) = 0. What is u?
-2, -1, 0
Let l(c) = -c**3 - 16*c**2 - 30*c - 225. Let t be l(-15). Let 11/3*s**2 + t + 4*s**3 - 2*s - 5/3*s**4 = 0. What is s?
-1, 0, 2/5, 3
Factor -4/9*y**2 - 68/9 + 8*y.
-4*(y - 17)*(y - 1)/9
Let l(m) be the second derivative of 0*m**4 + 10*m + 0*m**2 + 1/6*m**6 + 0 + 1/2*m**5 + 0*m**3. Factor l(p).
5*p**3*(p + 2)
Let n(a) be the first derivative of -4*a**4/15 - 2*a**3/15 + 6*a**2/5 + 19*a + 16. Let z(i) be the first derivative of n(i). Find s such that z(s) = 0.
-1, 3/4
Let z = 27 + -19. Suppose -z*m + 9*m = -o - 2, 3*o - 3*m = 6. What is v in -1/2*v**3 + 1/4*v**4 + 0*v + 0 + 1/4*v**5 + o*v**2 = 0?
-2, 0, 1
Let y(i) be the third derivative of i**5/30 - i**4/3 + i**3 + 36*i**2. Let y(b) = 0. What is b?
1, 3
Let m(i) be the first derivative of 2*i**3/9 + 7*i**2/3 + 70. Factor m(l).
2*l*(l + 7)/3
Let i(g) = 152*g**2 + 150*g - 4. Let p(u) = -u**3 + 304*u**2 + 300*u - 10. Let d(j) = -5*i(j) + 2*p(j). Let d(v) = 0. Calculate v.
-75, -1, 0
Suppose 0 = -20*q + 73*q - 106. Factor 4/3*v**4 + 4/3*v - 4/3*v**3 + 8/3 - 4*v**q.
4*(v - 2)*(v - 1)*(v + 1)**2/3
Suppose -6 = -5*l - f, -7*f + 12 = 2*l - 5*f. Find t such that -4/7 + 6/7*t - 2/7*t**3 + l*t**2 = 0.
-2, 1
Let j(f) be the first derivative of -f**3/7 + 87*f**2/7 + 177*f/7 + 92. Factor j(x).
-3*(x - 59)*(x + 1)/7
Let x be 19/7 - (-40)/140. Suppose x*h - 4 = 5, 0 = -5*u + 5*h - 15. Find m, given that -4/9*m**3 + u*m - 2/9*m**4 + 0 - 2/9*m**2 = 0.
-1, 0
Let u(m) = -5*m**4 - 90*m**3 - 335*m**2 - 400*m - 155. Let p(w) = 3*w**4 + 46*w**3 + 167*w**2 + 200*w + 78. Let r(j) = 5*p(j) + 2*u(j). Factor r(g).
5*(g + 1)**2*(g + 4)**2
Let a(i) be the first derivative of -i**6/24 + i**5/20 + 7*i**4/16 - 13*i**3/12 + 3*i**2/4 - 151. Find n, given that a(n) = 0.
-3, 0, 1, 2
Let o(i) be the first derivative of -2*i**5/35 - 6*i**4/7 + 18*i**3/7 - 2*i**2 - 428. Factor o(g).
-2*g*(g - 1)**2*(g + 14)/7
Let x be (5/4)/(7/(-56)). Let s = 18 + x. Factor 3*j**2 - 3*j**2 - s - 8*j - 2*j**2.
-2*(j + 2)**2
Let r be 15*3 - 25/5. Let w be 20/5*(3 - 116/r). Factor 4/5*z**2 - 2/5*z**3 - w*z + 0.
-2*z*(z - 1)**2/5
Determine m so that -3/7*m**2 + 48/7 + 18/7*m = 0.
-2, 8
Let d be (11/(-2) + 4)*-2. Suppose -8 = -d*b + b. Factor 7 + 16*w - b*w + 1 + 4*w**2.
4*(w + 1)*(w + 2)
Let n(w) be the second derivative of w**6/135 + 