2)*(v + 2)*(5*v + 2)
Suppose -o - 6 = -5*o + g, -13*o = -4*g - 18. Determine z so that 2/11*z - 2/11*z**o + 12/11 = 0.
-2, 3
Let o(p) be the third derivative of 5*p**9/12096 - p**8/840 + p**7/3360 + p**6/720 - p**3/6 + 9*p**2. Let j(c) be the first derivative of o(c). Factor j(l).
l**2*(l - 1)**2*(5*l + 2)/4
Let g(m) be the second derivative of 0*m**2 + 2/21*m**7 - 3/5*m**5 + 0 + 2/15*m**6 - 1/3*m**4 + 4/3*m**3 - 20*m. Factor g(o).
4*o*(o - 1)**2*(o + 1)*(o + 2)
Let v(o) be the second derivative of o**9/540 + 19*o**8/6720 + o**7/840 - 2*o**4 + 19*o. Let w(c) be the third derivative of v(c). Factor w(l).
l**2*(4*l + 1)*(7*l + 3)
Let r(v) be the third derivative of -v**6/30 - 17*v**5/30 + 5*v**4/2 - 2*v**2 - 315. Factor r(m).
-2*m*(m + 10)*(2*m - 3)
Let z(y) be the third derivative of 0 - 1/10*y**5 + 39*y**2 + 4/3*y**3 + 1/60*y**6 + 0*y**4 + 0*y. Suppose z(j) = 0. Calculate j.
-1, 2
Let t(w) be the second derivative of -w**4/9 + 10*w**3/9 - 8*w**2/3 + 3*w. Let t(q) = 0. Calculate q.
1, 4
Find u such that 0 + 54/13*u**3 + 14/13*u**2 + 10/13*u**4 - 30/13*u = 0.
-5, -1, 0, 3/5
Let k(m) = 5*m - 4. Let j be k(0). Let c be ((-51)/(-170) - 2/4)*j. Factor 22/5*s**2 + c*s**3 - 18/5 + 24/5*s.
2*(s + 3)**2*(2*s - 1)/5
Suppose -5*d + 34 + 6 = 0. Suppose 5*a = -5*y, -d - 16 = -5*y + 3*a. Factor -3/7*b**y - 3/7*b**2 + 0 + 3/7*b**4 + 3/7*b.
3*b*(b - 1)**2*(b + 1)/7
Let s = 2139 + -2137. Factor -4/3 - 2/3*g**2 - s*g.
-2*(g + 1)*(g + 2)/3
Factor -4/9*u**2 - 148/9 + 152/9*u.
-4*(u - 37)*(u - 1)/9
Factor -37/4*t**2 - 31/4*t - 3/2 - 5/4*t**3 + 7/4*t**4.
(t - 3)*(t + 1)**2*(7*t + 2)/4
Solve 17*y**3 + 3*y**3 + 74*y**4 - 79*y**4 = 0 for y.
0, 4
Suppose -1/10*n - 1/10*n**2 + 1/5 = 0. Calculate n.
-2, 1
Let t(y) = 7*y**4 - 10*y**3 - y**2 + 4*y + 4. Let b(i) = -6*i**4 + 9*i**3 - 3*i - 3. Let a(h) = 4*b(h) + 3*t(h). Suppose a(g) = 0. Calculate g.
0, 1
Factor -6/5 - 4/5*k + 2/5*k**2.
2*(k - 3)*(k + 1)/5
Let n(i) = 2*i + 1. Let a(h) = -2*h**3 - 44*h**2 - 224*h + 9. Let b(t) = 2*a(t) - 18*n(t). Let b(l) = 0. Calculate l.
-11, 0
Let h(j) be the first derivative of j**6/16 + 21*j**5/20 + 45*j**4/8 + 13*j**3 + 12*j**2 + 179. Suppose h(t) = 0. Calculate t.
-8, -2, 0
Let o(y) be the first derivative of 7/4*y + 3/4*y**2 - 1/12*y**3 + 12. Factor o(f).
-(f - 7)*(f + 1)/4
Suppose 19 - 17 = w. Determine f so that 5*f**2 + 18 - f**w + f**3 + 4*f**2 + 21*f = 0.
-3, -2
Let z be (-27 - -2)*(-24)/20. Suppose 5 = 5*u - z. Factor 0*l**3 - 20*l**2 - u*l**3 - 28*l - 12 + 3*l**3.
-4*(l + 1)**2*(l + 3)
Let w be (-1)/(-2)*(17 + -17). Let m(j) be the second derivative of 2*j + 8*j**2 + 0 + w*j**3 - 1/3*j**4. Suppose m(k) = 0. Calculate k.
-2, 2
Let y(f) be the first derivative of -2*f**5/35 + 5*f**4/14 - 6*f**3/7 + f**2 - 4*f/7 - 201. Factor y(u).
-2*(u - 2)*(u - 1)**3/7
Let w(x) be the second derivative of -34*x + 0*x**5 + 0*x**3 + 0 - 1/6*x**6 + 5/6*x**4 - 5/2*x**2. Solve w(i) = 0 for i.
-1, 1
Determine z, given that -457*z - 214*z**3 + 1136*z**2 + 22*z**4 + 504 - 293*z + 2*z**4 - 558*z + 4*z**5 - 146*z**3 = 0.
-14, 1, 3
Let p(s) = s - 2. Suppose -6 - 14 = -4*n. Let j be p(n). Solve -28/5*v - 147/5*v**4 - 8/5 + 259/5*v**j + 86/5*v**2 = 0 for v.
-2/7, 1/3, 2
Let r be 414/1*(0 - (-3)/105). Let j = -80/7 + r. Find g such that -j*g + 1/5*g**2 + 1/5 = 0.
1
Let f(b) be the second derivative of 27*b**7/28 - 339*b**6/20 + 428*b**5/5 - 155*b**4/3 - 92*b**3 - 36*b**2 - 4*b - 12. Find j such that f(j) = 0.
-2/9, 1, 6
Factor -378 - 30*n + 22/3*n**2 + 2/3*n**3.
2*(n - 7)*(n + 9)**2/3
Let v = -99 - -104. Let l = v + -5. Factor -3/5*j**3 + l*j - 3/5*j**4 + 0*j**2 + 0.
-3*j**3*(j + 1)/5
Let x(n) be the third derivative of -n**8/112 + 12*n**7/7 - 144*n**6 + 6912*n**5 - 207360*n**4 + 3981312*n**3 + 2*n**2 - 3. Factor x(k).
-3*(k - 24)**5
Factor -h**3 + 3*h**3 + 10*h**2 + 23*h**3 - 5*h - 30*h**3.
-5*h*(h - 1)**2
Determine f, given that -40 + 136*f**2 - 184*f**3 - 80*f + 248*f**4 + 684*f**3 + 8 + 120*f**4 + 80*f**5 = 0.
-2, -1/2, 2/5
Let q(f) = -45*f**3 - 33*f**2 + 60*f - 24. Let k = 19 - 15. Let a(m) = -8*m**2 + 15*m - k - 11*m**3 - 2 + 0*m. Let o(i) = -21*a(i) + 5*q(i). Factor o(l).
3*(l - 1)*(l + 2)*(2*l - 1)
Let u(k) be the second derivative of -k**5/20 + 2*k**4/3 - 7*k**3/6 + k**2/2 - 6*k. Let s be u(7). Suppose 16 + 33 + 3*w**2 - 24*w - s = 0. What is w?
4
Suppose 0 = -s - 2*s + 6. Let d = 60341/5 - 12068. Determine b, given that -5*b**5 - 41/5*b**s + 9*b**4 + 24/5*b + d*b**3 - 4/5 = 0.
-1, 2/5, 1
Let f(p) be the second derivative of p**7/22680 - p**5/1080 + p**4/2 - 11*p. Let h(b) be the third derivative of f(b). Factor h(g).
(g - 1)*(g + 1)/9
Solve 0 - 45*k**3 - 21/5*k**4 + 318/5*k**2 - 72/5*k = 0 for k.
-12, 0, 2/7, 1
Suppose -7*p = -3*p - 5*b - 23, -4*p - 3*b - 1 = 0. Factor -27*i**2 - 28*i**2 + 27*i + 52*i**p.
-3*i*(i - 9)
Let r(o) be the third derivative of o**5/390 - 11*o**4/156 - 34*o**3/13 - 498*o**2. Factor r(m).
2*(m - 17)*(m + 6)/13
Let n(i) = i**4 + 2*i**3 + i**2 - 12*i + 8. Let o(u) = 3*u**4 + 6*u**3 + 2*u**2 - 34*u + 23. Let s(q) = -11*n(q) + 4*o(q). Solve s(d) = 0 for d.
-2, 1
Let y be 52/(-195) + 8/12. Let r(b) be the first derivative of 0*b + y*b**5 - 2*b**2 - 2*b**4 + 2 + 10/3*b**3. What is g in r(g) = 0?
0, 1, 2
Let y(r) = 2*r + 18. Let o be y(-9). Let o + 6 - 3*m**2 + 37*m - 34*m = 0. Calculate m.
-1, 2
Let y be (-5)/50 + 2035/350. Determine v so that 20/7*v**4 - y*v**2 - 160/7*v + 2/7*v**5 + 128/7 + 50/7*v**3 = 0.
-4, 1
Let p(i) = 2*i**2 + 26*i + 44. Let j be p(-11). Suppose j = 6*m - m + 5*o - 20, m + 16 = 4*o. Factor -1/2*q**3 - 1/6*q**5 + 1/6*q**2 + 0 + m*q + 1/2*q**4.
-q**2*(q - 1)**3/6
Let a be 62/264 + (-14)/(-77). Let y(k) be the second derivative of a*k**4 + 3/2*k**2 + 0 + 1/20*k**5 + 7/6*k**3 - 4*k. Factor y(z).
(z + 1)**2*(z + 3)
Let m(p) = -p**2 + 5*p - 4. Let b be m(3). Suppose -16 = -b*z - 0. Factor -4 + o**5 - 22*o + 3*o**5 + 2*o**5 - 36*o**2 + z*o**4 - 16*o**3.
2*(o - 2)*(o + 1)**3*(3*o + 1)
Suppose 72 = 7*f + f. Let m be -3 + 39/f + 2/3. Let 1/6*j**3 + 1/6*j**m - 1/3*j + 0 = 0. What is j?
-2, 0, 1
Let j be 35/7*6/15. Factor 10*u**2 - 13*u**2 + u - 1 + 4*u**j - u**3.
-(u - 1)**2*(u + 1)
Let z(j) be the first derivative of j**5/5 + 3*j**4/2 + 5*j**3/3 - 6*j**2 - 11. Find v such that z(v) = 0.
-4, -3, 0, 1
Let a(s) be the first derivative of 4*s**3/21 - 200*s**2/7 - 404*s/7 + 128. Factor a(r).
4*(r - 101)*(r + 1)/7
Let y(u) be the first derivative of -u**3/27 - 23*u**2/18 - 22*u/9 + 418. Solve y(l) = 0.
-22, -1
Let m be -7 + 132/20 + 5 + (-46)/10. Factor -2/7*g**4 + 2/7*g**2 - 1/7*g**5 + m*g**3 + 1/7*g + 0.
-g*(g - 1)*(g + 1)**3/7
Let s(u) = -u**4 - 1. Let q(f) = -f**4 + 6*f**3 + 3*f**2 - 6*f + 2. Suppose -3*r + y + 6 = -2*y, 3*r + 5*y = 6. Let x(h) = r*s(h) + q(h). Factor x(t).
-3*t*(t - 2)*(t - 1)*(t + 1)
Let b(s) be the first derivative of s**8/70 - s**7/42 + 7*s**6/540 - s**5/360 - s**3/3 + 18. Let v(l) be the third derivative of b(l). Solve v(m) = 0 for m.
0, 1/6, 1/2
Let o(k) = k**2 + 3*k - 1. Let c be o(-3). Let q = 1 - c. Solve 1 + 19*v**q - 17*v**2 + 2*v**3 - 1 = 0.
-1, 0
Let l(n) be the second derivative of -n**9/105840 - n**8/15680 - n**7/8820 - 2*n**4/3 - 25*n. Let z(s) be the third derivative of l(s). Factor z(w).
-w**2*(w + 1)*(w + 2)/7
Factor 271 + 4*r**2 - 42*r + 0*r**2 - 124 - r**2.
3*(r - 7)**2
Let t(f) be the second derivative of -f**7/147 + 8*f**6/105 - 13*f**5/70 + f**4/7 - 218*f + 2. Solve t(u) = 0 for u.
0, 1, 6
Determine a, given that 7*a**2 + 69*a**3 + 6*a**2 + 14*a - 70*a**3 = 0.
-1, 0, 14
Suppose -2*i = 3*m, 39*m - 5 = -3*i + 37*m. Let f(x) be the first derivative of 6 + 0*x**2 + 0*x + 1/6*x**i. Factor f(a).
a**2/2
Suppose 5*z = -4*i + 159, -4*i + 2*z = 71 - 265. Suppose -p - i = -48. Factor -21/4*b**p - 1 - 4*b - 9/4*b**3.
-(b + 1)*(3*b + 2)**2/4
Suppose 8*k = 1 + 15. Factor -24*b + 4*b**3 + 8 - 2*b**3 + 79*b + 10*b**k - 39*b.
2*(b + 1)*(b + 2)**2
Let q(m) = m**2 - m + 1. Suppose -3*g = 4*g - 210. Let p(d) = d**4 + 32*d**2 + 3*d**4 + 54 - 12*d**3 - g - 24*d. Let r(w) = -p(w) + 24*q(w). Factor r(a).
-4*a**2*(a - 2)*(a - 1)
What is c in -3/2*c**3 + 3/2*c - 1/2*c**4 - 2 + 5/2*c**2 = 0?
-4, -1, 1
Let b(k) be the third derivative of -1/504*k**8 - 1/315*k**7 + 0 + 0*k**4 + 0*k**5 + 0*k**6 + 0*k**3 - 34*k**2 + 0*k. Solve b(y) = 0.
-1, 0
Let m(t) be 