-1). Suppose -2*h = h - 5*w + 3, 0 = 3*h - w - 9. Suppose 0*m + 1/2*m**5 + 3/2*m**h + 0 + m**3 + f*m**2 = 0. Calculate m.
-2, -1, 0
Let k(v) be the first derivative of 0*v - 1/18*v**4 + 0*v**2 - 2/27*v**3 + 8. Solve k(f) = 0.
-1, 0
Let j(x) be the third derivative of x**5/20 + 9*x**4 + 648*x**3 + 177*x**2. What is r in j(r) = 0?
-36
Let h be (-151)/(-9) - (-2)/9. Let d = -14 + h. Factor -2*y**3 + 0*y**d - 2*y**3 + 3*y**3 + y.
-y*(y - 1)*(y + 1)
Let q(o) be the first derivative of -2*o**5/35 + 3*o**4/14 + 8*o**3/21 + 93. Factor q(h).
-2*h**2*(h - 4)*(h + 1)/7
Let c(h) be the third derivative of 0*h**3 - 35*h**2 + 0*h + 0*h**6 + 0*h**5 + 0 - 2/35*h**7 - 1/168*h**8 + 0*h**4. What is n in c(n) = 0?
-6, 0
Let h be 275/(-88)*6/(-45). Let u(z) be the second derivative of -h*z**3 - 1/40*z**5 + z + 1/2*z**2 + 0 + 1/6*z**4. Let u(w) = 0. Calculate w.
1, 2
What is p in 2*p**2 - 441 - 134 + 492*p + 35 + 46 = 0?
-247, 1
Suppose q + 2*n = -3*q + 18, 5*n - 19 = 3*q. Factor 11 - 3*z**q - 11*z**3 - 11 + 5*z**2.
-z**2*(11*z - 2)
Factor -770*k + 2450/3 - 2/3*k**3 - 46*k**2.
-2*(k - 1)*(k + 35)**2/3
Let m = -31 + 34. Determine b so that 16*b**4 + m - 5*b**2 - 43*b**2 + 2*b**3 - 11 + 2*b**3 - 44*b = 0.
-1, -1/4, 2
What is p in -686*p**5 - 56 - 1197*p - 24 + 149*p - 314*p**3 - 2788*p**2 - 32 + 4900*p**4 + 48*p**3 = 0?
-2/7, 1, 7
Let z = -18917/6 - -3153. Factor 1/3*c - z*c**2 + 0.
-c*(c - 2)/6
Let -28*q**2 - 6*q**2 + 2*q**3 - 813*q + 773*q + 72 = 0. What is q?
-2, 1, 18
Let n(y) be the third derivative of -y**6/600 + 2*y**5/75 + 76*y**2. Factor n(u).
-u**2*(u - 8)/5
Let p(b) be the second derivative of -b**7/315 - 26*b**6/225 - 32*b**5/25 - 16*b**4/5 + 593*b. What is m in p(m) = 0?
-12, -2, 0
Factor 3/7*m**3 + 3/7*m**2 - 51/7*m + 45/7.
3*(m - 3)*(m - 1)*(m + 5)/7
Let a(d) be the second derivative of d**4/30 - 8*d**3/15 - 4*d**2 + 220*d. Factor a(o).
2*(o - 10)*(o + 2)/5
Let y(s) be the third derivative of 3*s**2 + 0 + 1/12*s**5 + 5*s**3 + 0*s - 35/24*s**4. Factor y(t).
5*(t - 6)*(t - 1)
Let x = 5982013/31248 + 27/3472. Let f = -191 + x. Let -14/9*s + 16/9*s**2 + 2/9*s**5 + f - 4/9*s**4 - 4/9*s**3 = 0. Calculate s.
-2, 1
Let m = -196 - -143. Let q be m/(-17) + (-86)/731. Determine t, given that 5/3*t**4 + 0*t + 1/3*t**2 - 4/3*t**q + 0 - 2/3*t**5 = 0.
0, 1/2, 1
Suppose 5*k = 2*c - 82, -5*k + 0*c = 5*c + 75. Let y be (-44)/k + 10/(-5). Factor 3/4*x**2 + 3/4*x + 0 - 3/4*x**4 - y*x**3.
-3*x*(x - 1)*(x + 1)**2/4
Suppose -10*k = -12*k + 2. Let f be 3 - (0 - k - -2). Factor -22*x**f + 3*x + 0*x + 16*x**2 + 3*x**3.
3*x*(x - 1)**2
Let p(u) be the first derivative of 49*u**4/8 - 21*u**3 + 81*u**2/4 + 286. Factor p(r).
r*(7*r - 9)**2/2
Let n(b) be the second derivative of b**5/25 + 7*b**4/5 - 18*b + 4. Determine m so that n(m) = 0.
-21, 0
Let p = -13376/7 + 13378/7. Let 12/7 - p*q - 2/7*q**2 = 0. What is q?
-3, 2
Suppose 38 = 2*f - 2. Let z be ((-3)/(-5))/(4/f). Determine b, given that -16*b**2 - 14*b - 6*b**z + 4 - 2 - 6 = 0.
-1, -2/3
Let m = -61 + 63. Let r be (-1)/(-4) - 38/(-8). Factor 3*c**3 - 3*c**4 - 4*c**5 + c**5 + r*c**m - 2*c**2.
-3*c**2*(c - 1)*(c + 1)**2
Let v(y) be the first derivative of 2*y**5/45 - y**4/9 - 2*y**3/9 + 8*y**2/9 - 8*y/9 - 31. Suppose v(u) = 0. What is u?
-2, 1, 2
Suppose 2*z - 258 = 3*l, -5*l = 4*z - 5*z + 136. Let m = 131 - z. Suppose 0 - y**3 + y**m + 0*y - 2/3*y**4 + 2/3*y**2 = 0. Calculate y.
-1, 0, 2/3, 1
Let v(o) be the third derivative of 11*o**5/12 + 115*o**4/24 + 5*o**3/3 - o**2 - 102*o. Factor v(b).
5*(b + 2)*(11*b + 1)
Let y(h) = -h + 6. Let l be y(-5). Suppose -4*t + l + 4 = -c, 0 = 2*t - 4*c - 18. Factor t*b**5 - 2*b**3 + 17*b**4 - 19*b**4 + b**5.
2*b**3*(b - 1)*(2*b + 1)
Factor -192 - 1/3*i**2 - 16*i.
-(i + 24)**2/3
Determine i, given that 118*i**4 + 12*i**3 - 9 + i**2 - 115*i**4 - 12*i + 5*i**2 = 0.
-3, -1, 1
Suppose -12*t = -19*t + 28. Let v(d) be the first derivative of -1/12*d**6 - 1/6*d**3 - 1 + 0*d + 1/8*d**t + 0*d**2 + 1/10*d**5. Find c such that v(c) = 0.
-1, 0, 1
Let t(n) be the first derivative of -n**3/6 + 9*n**2/2 + 249. Find q such that t(q) = 0.
0, 18
Let z(r) = r - 7*r**2 - 5 + r**3 + 10*r**2 + 0*r. Let j(x) = -8*x**3 - 23*x**2 - 9*x + 40. Let q(f) = 6*j(f) + 51*z(f). Suppose q(p) = 0. Calculate p.
-5, -1, 1
Let i(t) be the first derivative of -t**4/6 + 4*t**3/5 - 3*t**2/5 - 532. Find z such that i(z) = 0.
0, 3/5, 3
Let x(j) = -4 + 8*j - 2*j**2 - 5 + 4. Let z(n) = -9*n**2 + 0 + 11*n**2 - 8*n + 4. Let s(y) = 4*x(y) + 3*z(y). Factor s(m).
-2*(m - 2)**2
Let r(g) = 5*g**4 + 11*g**3 - 50*g**2 - 2*g + 2. Let z(k) = -17*k**4 - 32*k**3 + 151*k**2 + 7*k - 7. Let f(c) = 21*r(c) + 6*z(c). Factor f(m).
3*m**2*(m - 3)*(m + 16)
Suppose -2*y + 25 - 9 = 0. Solve 7*p**4 + y*p**4 - 7*p**4 + 5*p**5 + 2*p**4 = 0 for p.
-2, 0
Let k(j) be the third derivative of j**6/200 + 3*j**5/100 - 3*j**4/20 - 4*j**3/5 + 50*j**2. Factor k(x).
3*(x - 2)*(x + 1)*(x + 4)/5
Let i(t) = t**2 + 26*t - 85. Let o be i(-29). Let j(g) be the third derivative of 0*g + 0 + 7/10*g**5 - 2*g**o + 3/8*g**6 - g**3 - 3/8*g**4. Factor j(b).
3*(b + 1)*(3*b + 1)*(5*b - 2)
Let b(s) = -2*s - 22. Let h = -9 + -3. Let i be b(h). Suppose 0*n + 0*n**i + 0 + 2/7*n**3 = 0. Calculate n.
0
Let m = 39 - 29. Suppose -5*w = -3*v - 16, 2*v - 7*v = -w - m. Factor 1/2*z**v + 0 + 1/2*z + z**2.
z*(z + 1)**2/2
Suppose 0 = 11*h + 236 - 269. Factor 0*t + 0 - 1/2*t**2 - 1/2*t**h.
-t**2*(t + 1)/2
Let p = 163 + -160. Let o(l) be the first derivative of p + 0*l + 2/3*l**3 - 1/12*l**6 + 2/5*l**5 - 3/4*l**4 - 1/4*l**2. Let o(d) = 0. What is d?
0, 1
Let r = -33098 - -33100. Let 0 - 4*h**r - 14/15*h**3 - 16/15*h = 0. What is h?
-4, -2/7, 0
Suppose 2*n - r = 16, 226*n - 24 = 224*n + 2*r. Let -2*o**2 + 2*o**3 + 0 + 0*o - 1/2*o**n = 0. Calculate o.
0, 2
Let h(l) be the third derivative of -1/960*l**6 - 24*l**2 + 0 - 1/48*l**3 - 1/64*l**4 + 0*l - 1/160*l**5. Factor h(a).
-(a + 1)**3/8
Let i(m) be the first derivative of -m**7/231 + m**5/110 - 15*m - 6. Let a(j) be the first derivative of i(j). Factor a(q).
-2*q**3*(q - 1)*(q + 1)/11
Let z(l) = -3*l**3 + 20*l**2 - 14*l - 12. Let w(o) = 3*o**3 - 19*o**2 + 13*o + 15. Let x(p) = 5*w(p) + 4*z(p). Factor x(c).
3*(c - 3)**2*(c + 1)
Let v(c) be the first derivative of 4*c**3/3 + 76*c**2 + 1444*c + 220. Factor v(l).
4*(l + 19)**2
Factor -2*c**2 + 2*c + 1 + 0 - 1.
-2*c*(c - 1)
Let m be (-57)/3 + 14647/755. Factor -2/5*w**2 + m*w + 0.
-2*w*(w - 1)/5
Let x be (1036/(-70))/(-1) + -14. What is j in 8/5*j**2 - 4/5*j**4 - x + 0*j + 0*j**3 = 0?
-1, 1
Factor 8/9*m**4 + 0 - 25/9*m - 40/9*m**2 - 2/3*m**3 - 1/9*m**5.
-m*(m - 5)**2*(m + 1)**2/9
Let o(b) be the third derivative of -b**8/168 + 2*b**7/105 - b**5/15 + b**4/12 - 9*b**2. Factor o(j).
-2*j*(j - 1)**3*(j + 1)
Let w(s) be the second derivative of 2*s**5/5 + 17*s**4/24 + s**3/12 + 328*s. Factor w(z).
z*(z + 1)*(16*z + 1)/2
Suppose -3*t + 6*t = -24. Let v be (-3)/(36/t)*3. Let -3*f - 3*f**2 + 6*f - 12*f**4 - 15*f**v + 27*f**3 = 0. Calculate f.
0, 1/4, 1
Let m(h) be the third derivative of -h**5/12 - 5*h**4/12 + 5*h**3/2 - 88*h**2. Factor m(s).
-5*(s - 1)*(s + 3)
Let r(v) be the first derivative of v**7/1785 + v**6/612 + v**5/1020 - 5*v**3/3 + 8. Let q(j) be the third derivative of r(j). Factor q(b).
2*b*(b + 1)*(4*b + 1)/17
Suppose -18*c - 90 = 90. Let i be ((-144)/225)/4*c/2. Factor -i*k**2 + 0 + 8/5*k.
-4*k*(k - 2)/5
Let f(d) be the second derivative of -d**7/7 - 49*d**6/60 - 63*d**5/40 - 25*d**4/24 + d**3/4 + d**2/2 - d + 2. Let f(a) = 0. What is a?
-2, -1, -1/3, 1/4
Solve -2/19*u**2 - 6/19*u + 108/19 = 0 for u.
-9, 6
Let t(u) be the third derivative of -1/60*u**6 + 0*u**5 - 5*u**2 - 2/3*u**3 + 0*u + 0 + 1/4*u**4. Factor t(x).
-2*(x - 1)**2*(x + 2)
Let u(v) = 2*v**3 - 4*v**2 - 3*v + 4. Let w be u(4). Suppose 0 = -57*p + w*p. Factor 1/5*t**3 - 4/5 + 3/5*t**2 + p*t.
(t - 1)*(t + 2)**2/5
Let y be 0 + -5*(-15)/350 + 4/14. Find o, given that -y*o**2 - o - 1/2 = 0.
-1
Let k(b) = 18*b**3 - 26*b**2 + 2*b - 2. Let a(i) = i**3 - 3*i**2 - i - 1. Let s(p) = 2*a(p) - k(p). Factor s(v).
-4*v*(v - 1)*(4*v - 1)
Let h(u) be the second derivative of -u**6/10 - 6*u**5/5 - 9*u**4/2 + 81*u**2/2 + 94*u. Factor h(o).
-3*(o - 1)*(o + 3)**3
Let g be (0 + -1)*((-8 - (-3 - 10)) + -5). Suppose 0 + 0*s**3 + 0*s**2 - 1/5*s**5 + g*s**4 + 0*s = 0