pose -11*q = -13*q + 10. Suppose 3*k = 5*u - q + 24, -4 = 2*k + 5*u. Factor -k*l**3 - 9*l**2 - 3/2 - 27/4*l.
-3*(l + 2)*(2*l + 1)**2/4
Let w(y) be the second derivative of 5*y**7/504 - 89*y**6/180 - 149*y**5/80 - 85*y**4/36 - 19*y**3/18 + 653*y. Let w(a) = 0. What is a?
-1, -2/5, 0, 38
Let z(q) be the second derivative of q**6/2 - 69*q**5/20 + 25*q**4/4 - q**3/2 - 9*q**2 - 156*q. What is b in z(b) = 0?
-2/5, 1, 3
Let j = -15375 + 15377. Determine z so that 0 + 12/5*z**3 - 3*z**j - 3/5*z**4 + 6/5*z = 0.
0, 1, 2
Let i = -119 - -125. Let k be 14/i + (-16)/48. Factor 0*w**4 + 0 + 0*w**k + 4/17*w**3 - 2/17*w - 2/17*w**5.
-2*w*(w - 1)**2*(w + 1)**2/17
Suppose -4598*j = -4589*j - 36. Let v(k) be the first derivative of -11 - 1/9*k**3 - 1/15*k**5 + 0*k + 0*k**2 + 1/6*k**j. Factor v(c).
-c**2*(c - 1)**2/3
Let y be (-8)/10 + (-3)/(-3). Suppose -3*b + 38 = 26, -2*k + 4*b = 12. Factor -2/5*m**k + y*m + 0 + 1/5*m**3.
m*(m - 1)**2/5
Let z(u) be the third derivative of -u**10/15120 - u**9/7560 + 5*u**4/24 + 3*u**2. Let o(x) be the second derivative of z(x). Factor o(l).
-2*l**4*(l + 1)
Let l = -23958 - -263539/11. Let 0*p + 0 + 0*p**2 + 2/11*p**4 + 1/11*p**5 + l*p**3 = 0. Calculate p.
-1, 0
Let a(k) be the second derivative of -k**4/16 + 7*k**3/4 + 98*k. Find v such that a(v) = 0.
0, 14
Let h(t) = 4*t**3 + 14*t**2 - 19*t + 11. Let j(m) = -m**2 + 2*m + 1. Let q(w) = h(w) - 5*j(w). Find y such that q(y) = 0.
-6, 1/4, 1
Let p be 1/35*7 + 28/10. Suppose -3*g + 14 = -2*y, g + p*y + 16 = 3*g. Find x such that 27/4*x + 3/4*x**3 + 3 + 9/2*x**g = 0.
-4, -1
Let w be (-27)/5 - (0 + -1)*924/132. Factor -w*n**4 + 0*n + 4/5*n**5 - 16/5*n**3 + 32/5*n**2 + 0.
4*n**2*(n - 2)**2*(n + 2)/5
Let r(o) be the first derivative of 5*o**3/3 - 20*o**2 + 75*o - 122. Solve r(d) = 0 for d.
3, 5
Let v = -656 + 658. Factor 0 + 2/7*j**v - 4/7*j.
2*j*(j - 2)/7
Let m(w) be the second derivative of w**7/5880 + w**6/420 + 3*w**5/280 - 5*w**4/3 + 5*w. Let y(d) be the third derivative of m(d). Factor y(i).
3*(i + 1)*(i + 3)/7
Factor 2*r**3 - 6*r**2 + r**3 + r**5 + 2*r**5 - 12*r**3.
3*r**2*(r - 2)*(r + 1)**2
Let r(t) be the third derivative of t**5/40 + 23*t**4/12 + 5*t**3 + 316*t**2. Factor r(k).
(k + 30)*(3*k + 2)/2
Let z = 103883/116865 - 1/38955. Suppose 5*k - 8 = 12. Factor 0 - 4/9*v + 2/9*v**k - z*v**3 + 10/9*v**2.
2*v*(v - 2)*(v - 1)**2/9
Let d(z) be the third derivative of -z**8/1680 + 2*z**7/315 - z**6/45 - 17*z**4/24 - 18*z**2. Let o(b) be the second derivative of d(b). Factor o(u).
-4*u*(u - 2)**2
Suppose -9/4 + 9/2*j**3 - 9*j**2 - 3/4*j**4 + 15/2*j = 0. What is j?
1, 3
Let h(s) = 25*s**5 + 6*s**2 + 45*s**3 + 75*s**4 - 6*s**2 + 15*s - 5*s**2. Let j(a) = -a**4 + a**2 - a. Let m(k) = -h(k) - 15*j(k). Solve m(t) = 0.
-1, -2/5, 0
Suppose -60 = 5*b - 11*b. Let t be (6 + -8)/((-4)/b). Determine d so that -3 + 69/4*d**4 + 105/4*d**2 + 69/2*d**3 + 3*d + 3*d**t = 0.
-2, -1, 1/4
Let j(t) be the third derivative of -t**5/660 + t**4/24 - 5*t**3/33 - 203*t**2. Determine b so that j(b) = 0.
1, 10
Factor 2/3*b**3 + 4/9*b**2 - 2/9*b**5 + 0*b**4 + 0*b + 0.
-2*b**2*(b - 2)*(b + 1)**2/9
Suppose 10*y - 16 = 6*y. Determine f, given that 6*f**4 + 4*f**2 + f**4 - 12*f**3 - 11*f**y + f + 11*f = 0.
-3, -1, 0, 1
Let s(t) be the first derivative of 4*t**3/3 + 10*t**2 - 24*t - 2. Factor s(v).
4*(v - 1)*(v + 6)
Let i(z) be the first derivative of -3*z**4/4 + z**3 + 15*z**2/2 + 9*z + 533. Determine q so that i(q) = 0.
-1, 3
Let r(l) = l**3 + 7*l**2 - 6*l + 18. Let i be r(-8). Let a(q) be the third derivative of -6*q**i + 0 + 1/72*q**4 + 0*q - 1/180*q**5 + 0*q**3. Factor a(w).
-w*(w - 1)/3
Let t(z) be the first derivative of -z**5/80 + 7*z**4/96 - z**3/12 + z**2/2 - 21. Let n(l) be the second derivative of t(l). Factor n(b).
-(b - 2)*(3*b - 1)/4
Suppose 5*u = 2*l - 23, 0*l - 24 = -3*l + 4*u. Factor q**4 - 3*q**l + 382*q**2 - 384*q**2 + 4*q**3.
-2*q**2*(q - 1)**2
Let y = 531/4 - 132. Let b = -5237 - -20951/4. Solve b*m**4 - 9/4*m**2 + 3/2 - y*m + 3/4*m**3 = 0.
-2, -1, 1
Let m be -6 + (-2972)/(-400) - (-2)/8. Let n = m - 412/275. Factor -2/11*h**3 + 2/11*h**5 + 0 - 2/11*h**4 + n*h**2 + 0*h.
2*h**2*(h - 1)**2*(h + 1)/11
Let m(x) be the first derivative of 0*x - 5/8*x**4 - 5/2*x**3 + 15 + 0*x**2. Factor m(u).
-5*u**2*(u + 3)/2
Let y(o) be the first derivative of 2/11*o**4 + 5/11*o**2 - 2/11*o - 16/33*o**3 - 5. Let y(z) = 0. Calculate z.
1/2, 1
Suppose 70*d**2 - 453962 - 128*d**2 - 308*d**2 + 2*d**3 + 32346*d - 10020*d = 0. What is d?
61
Let b be (10/(-3))/(10/15). Let d be (0/(b + -1))/((-3)/1). Suppose 2/7*t**4 + 0*t**3 + 2/7 + d*t - 4/7*t**2 = 0. What is t?
-1, 1
Let q(x) be the third derivative of -x**9/6048 + x**8/1680 - x**7/1680 + 7*x**3/3 + 17*x**2. Let b(z) be the first derivative of q(z). Factor b(j).
-j**3*(j - 1)**2/2
Solve 128/11*i**2 - 2/11*i**5 + 58*i - 236/11*i**3 - 44 - 4*i**4 = 0.
-11, -2, 1
Let b(j) be the third derivative of -2*j**7/105 + 2*j**6/3 - 6*j**5/5 - 10*j**4/3 + 38*j**3/3 + j**2 - 7*j. What is m in b(m) = 0?
-1, 1, 19
Let z = -327 - -331. Let m(i) be the first derivative of 9/10*i**z - 4/5*i**3 + 1/10*i**6 - 12/25*i**5 + 0*i + 3/10*i**2 + 3. Factor m(g).
3*g*(g - 1)**4/5
Let z = -2047 - -6143/3. Factor z + 1/6*d**2 + 2/3*d.
(d + 2)**2/6
Suppose -3*y - 4*g + 41 = 0, -3*y - 2*y - 3*g = -50. Suppose -t = -y*t. Factor 0 + 2/9*b**3 + 2/9*b**2 + t*b.
2*b**2*(b + 1)/9
Let c(n) be the second derivative of -1/28*n**7 + 1/20*n**6 + 0 - 1/4*n**4 - 10*n - 1/4*n**3 + 3/20*n**5 + 3/4*n**2. Factor c(g).
-3*(g - 1)**3*(g + 1)**2/2
Determine d so that -3/7*d**5 - 45/7*d**4 - 159/7*d**3 - 9*d**2 + 0 + 270/7*d = 0.
-10, -3, 0, 1
Factor 0 + 69/2*i**4 + 0*i - 3/2*i**5 - 180*i**3 - 216*i**2.
-3*i**2*(i - 12)**2*(i + 1)/2
Let k(h) be the second derivative of 0 - 5/3*h**3 + 2*h**2 - 8*h - 1/2*h**4. Factor k(t).
-2*(t + 2)*(3*t - 1)
Factor 17*g**2 + 28 - 3*g - g - 45*g**2 + 4*g**3.
4*(g - 7)*(g - 1)*(g + 1)
Factor -86/7*s**2 - 166/7*s - 2/7*s**3 - 82/7.
-2*(s + 1)**2*(s + 41)/7
Suppose -4*w - 4*o = 0, w - 20 = -w + 3*o. Let s(r) be the first derivative of -9 - 2*r**2 + 4/3*r**3 + 35/4*r**w + 0*r. Factor s(x).
x*(5*x + 2)*(7*x - 2)
Let r = -111/292 + 46/73. Determine m so that -r*m - 3/8 + 1/8*m**2 = 0.
-1, 3
Let n = -48 - -21. Let v = n - -45. Factor -2*l + 24 + v*l**2 - 25*l - 3*l**3 - 9*l.
-3*(l - 2)**3
Let a(u) = -u**3 + 5*u**2 + u + 1. Let m(b) = 9*b**3 - 17*b**2 - 121*b - 125. Let j(z) = 5*a(z) + m(z). Suppose j(f) = 0. What is f?
-6, -1, 5
Let n(a) = -a**4 - a**3 - 2*a**2 - 1. Let s(i) = 9*i**4 + 9*i**3 - 52*i**2 + 20*i + 84. Let m(g) = 4*n(g) + s(g). Let m(t) = 0. Calculate t.
-4, -1, 2
Suppose -34*g = -31*g - 189. Factor -60*v**3 + g*v**3 - 3*v + 6*v + 6*v**2.
3*v*(v + 1)**2
Let v = -94904/7 + 13558. What is d in 6/7*d**2 - v*d + 2/7*d**3 - 6/7 = 0?
-3, -1, 1
Let w = 1 + 8. Let b(m) = m**2 - 10*m + 11. Let q be b(w). Solve 3*g**4 - 8*g**3 - 4*g**3 - 5*g**2 + 17*g**q = 0.
0, 2
Let z(a) be the third derivative of a**8/16800 + a**7/3150 + a**6/1800 + 11*a**4/24 + 4*a**2. Let h(g) be the second derivative of z(g). Factor h(t).
2*t*(t + 1)**2/5
Suppose -2*n**2 + 4*n**3 - 5*n**2 - 14*n**3 - 4 + 6*n**4 + 5*n**2 + 0*n**2 + 10*n = 0. Calculate n.
-1, 2/3, 1
Let a = 3173/17 - 188663/1020. Let y(p) be the second derivative of p - 26/9*p**3 - 4/3*p**2 + 0 - 31/18*p**4 + 7/9*p**6 + a*p**5 - 7/18*p**7. Solve y(l) = 0.
-1, -2/7, 1, 2
Let q(a) be the first derivative of -16*a**6/3 + 48*a**5 - 78*a**4 + 148*a**3/3 - 12*a**2 + 62. Solve q(p) = 0 for p.
0, 1/2, 6
Factor 96/5*a + 20 - 4/5*a**2.
-4*(a - 25)*(a + 1)/5
Let n(y) be the second derivative of 21*y**5/40 + 23*y**4 + 1235*y**3/4 + 507*y**2/2 + 44*y + 1. Factor n(v).
3*(v + 13)**2*(7*v + 2)/2
Let t(y) = -6*y - 14. Let a be t(-3). Let q(c) be the first derivative of 1/16*c**a - 27/4*c - 5 + 27/8*c**2 - 3/4*c**3. Determine l, given that q(l) = 0.
3
Let a(z) be the second derivative of -z**5/20 + 7*z**4/12 - 4*z**3/3 - 8*z**2 - 184*z. Let a(u) = 0. Calculate u.
-1, 4
Suppose -i = 3*u - 3, u + 3*i - 27 = -34. Suppose 15*k + 10 = 20*k. Suppose 0 + 3/2*b**u - 1/2*b + k*b**3 = 0. Calculate b.
-1, 0, 1/4
Suppose -4/7*a**3 + 0 + 36/7*a**2 + 40/7*a = 0. What is a?
-1, 0, 10
Factor 14 - 9*k + 31*k**2 - 8 - 28*k**2.
3*(k - 2)*(k - 1)
Suppose 0 = -12*b + b + 1 + 21. Factor -27/4*