 w, given that -2/9*w**2 - f*w**4 - 10/9*w**3 + 0*w - 2/3*w**5 + 0 = 0.
-1, -1/3, 0
Suppose 13 = c - 3*u - 0*u, 0 = -c - u - 3. Let k be (c/2)/((-15)/(-90)). Find b, given that 0 + 1/6*b**k + 1/6*b**4 + 0*b - 1/3*b**2 = 0.
-2, 0, 1
Solve -27*o**2 + 1/3*o**5 + 1/3*o**4 + 0 - 18*o - 9*o**3 = 0.
-3, -1, 0, 6
Suppose -40*a - 12 + 172 = 0. Suppose a*f + 2/5*f**2 + 10 = 0. What is f?
-5
Let j be (3/2)/(-1 + (-9)/(-6)). Let 12*p**2 - 4*p**3 + 21*p**3 + j*p - 7*p**3 - p**3 = 0. Calculate p.
-1, -1/3, 0
Let a be 3/(6/(-8)) + (-198)/(-45). Solve -2/5*o**2 + 4/5 + a*o = 0.
-1, 2
Solve 4/5*m + 2*m**2 + 0 - 6/5*m**3 = 0 for m.
-1/3, 0, 2
Let l(n) be the second derivative of 3*n**5/80 + 9*n**4/16 + 15*n**3/8 - 75*n**2/8 - 101*n. Suppose l(q) = 0. What is q?
-5, 1
Factor 3872/13 + 2/13*j**2 + 176/13*j.
2*(j + 44)**2/13
Let a = 5 + -2. Suppose -3*y - 4*y + 28 = 0. Factor 6*w**3 - 3*w**4 + y*w**4 - a - 6*w - 4*w**4 + 6*w**4.
3*(w - 1)*(w + 1)**3
Factor -98/13*h**4 - 64/13*h**2 - 8/13*h + 0 - 154/13*h**3.
-2*h*(h + 1)*(7*h + 2)**2/13
Let j = -111 - -113. Suppose 3*n - 4 = n. Factor 0*s**n + 2*s**4 + 3*s**j + 2 - 7*s**2.
2*(s - 1)**2*(s + 1)**2
Suppose -3*p = -v + 26, p = -127*v + 122*v + 2. Solve -16/5 + v*r**2 + 36/5*r = 0.
-4, 2/5
Let u(t) be the third derivative of -t**7/3360 + t**5/160 + t**4/48 + 9*t**3/2 + 8*t**2. Let n(q) be the first derivative of u(q). Factor n(k).
-(k - 2)*(k + 1)**2/4
Let u = 523 + -519. Let o(d) be the third derivative of d**u + 1/40*d**6 + 0*d - 7/20*d**5 + 8*d**3 + 9*d**2 + 0. Determine q so that o(q) = 0.
-1, 4
Suppose 4*c + b + 12 = 6*c, -5*c = 5*b + 15. Let 0 - 2/5*l**c + 2*l**2 - 8/5*l = 0. Calculate l.
0, 1, 4
Let t(y) be the second derivative of y**4/6 - 2*y**3/3 - 3*y**2 - 25*y. Solve t(b) = 0 for b.
-1, 3
Let h(j) = -27*j**3 + 18*j**2 - 135*j - 147. Let l(k) = -37*k**3 + 18*k**2 - 135*k - 146. Let b(w) = 4*h(w) - 3*l(w). Suppose b(i) = 0. Calculate i.
-10, -1, 5
Let m = -2/1285 + 267/6425. Let w(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 8*v + 0*v**4 - m*v**5. Find n, given that w(n) = 0.
0
Suppose -6 = -3*o + q, -2*q = 3*o - 1 - 5. Suppose 0*v = -o*v. Solve -c - c + 2*c**3 + v*c = 0.
-1, 0, 1
Let a(m) be the first derivative of 0*m - 2/9*m**3 - 1/6*m**4 - 5 + 2/3*m**2. Suppose a(r) = 0. What is r?
-2, 0, 1
Let o(j) be the third derivative of -2*j**7/315 + 2*j**6/45 + 28*j**5/45 + 16*j**4/9 + 159*j**2. Factor o(p).
-4*p*(p - 8)*(p + 2)**2/3
Factor 93/5*c**2 + 7/5*c**3 - 184/5*c - 12.
(c - 2)*(c + 15)*(7*c + 2)/5
Factor 400/7*v - 81/7*v**4 - 279/7*v**3 + 0 - 40/7*v**2.
-v*(v - 1)*(9*v + 20)**2/7
Let y = -6056 - -6061. Solve 8/7*l**4 + 4/7*l**y + 0*l**2 + 0*l**3 + 0*l + 0 = 0 for l.
-2, 0
Let p be (-12 - -2)*2/4. Let r be (-6)/p + (-4)/(-5). Factor 2/3*d**3 - 2*d**r + 0 + 4/3*d.
2*d*(d - 2)*(d - 1)/3
Let u(a) = -a**4 + 5*a**3 + 16*a**2 + 28*a + 3. Let y(w) = -w**2 + w - 1. Let s(n) = u(n) - 5*y(n). Factor s(z).
-(z - 8)*(z + 1)**3
Let s(x) be the third derivative of -x**6/540 - 83*x**5/270 - 41*x**4/54 - 546*x**2. Let s(q) = 0. What is q?
-82, -1, 0
Let m(b) be the first derivative of -5/4*b**4 + 0*b - 10/3*b**3 + 0*b**2 + 12. Suppose m(k) = 0. What is k?
-2, 0
Factor 160/3*t**3 + 80/3 + 15*t**4 + 280/3*t**2 + 5/3*t**5 + 80*t.
5*(t + 1)*(t + 2)**4/3
Factor 32/21*j**2 - 2*j**3 - 8/21*j + 6/7*j**4 + 0.
2*j*(j - 1)*(3*j - 2)**2/21
Suppose -18*z = -16*z + 52. Let v = -23 - z. Solve -3/2 - 15/4*h + 3/4*h**4 - 9/4*h**2 + 3/4*h**v = 0.
-1, 2
Suppose -3*o - 4*t = -54, 3*t + 72 = 4*o + 8*t. Factor 0 + o + 15*z + z**2 - 3*z + z**2.
2*(z + 3)**2
Let x(j) be the first derivative of 0*j**2 + 4 + 0*j + 0*j**3 - 1/24*j**4. Factor x(z).
-z**3/6
Suppose -51*g - 69*g + 273 = -29*g. Factor 98 + 2/7*f**g + 6*f**2 + 42*f.
2*(f + 7)**3/7
Let q = -154/51 - -57/17. What is x in x**2 + 1/3*x**3 - q*x**4 - 1/3*x - 2/3 = 0?
-1, 1, 2
Let u(b) be the first derivative of -b**6/6 + 18*b**5/25 - 7*b**4/20 - 26*b**3/15 + 6*b**2/5 + 8*b/5 - 34. Let u(l) = 0. What is l?
-1, -2/5, 1, 2
Let c(f) be the second derivative of 5*f**7/42 - f**6/2 - 3*f**5/4 + 55*f**4/12 - 5*f**3 - 104*f. Determine q, given that c(q) = 0.
-2, 0, 1, 3
Let q(b) be the third derivative of b**7/210 + b**6/60 - b**5/60 - b**4/12 + 26*b**2 - b. What is s in q(s) = 0?
-2, -1, 0, 1
Let i(h) be the second derivative of 1/45*h**6 + 0 + 2/105*h**7 - 1/18*h**4 - 7/150*h**5 - 14*h + 1/45*h**3 + 0*h**2. Find o such that i(o) = 0.
-1, 0, 1/6, 1
Let d(v) be the third derivative of v**5/40 + 3*v**4/2 + 119*v**3/4 - v**2 + 132. Let d(c) = 0. Calculate c.
-17, -7
Let r(a) be the third derivative of a**6/30 - 8*a**5/5 + 55*a**4/2 - 484*a**3/3 - 47*a**2. Determine c so that r(c) = 0.
2, 11
Let h = 1199 + -1196. Find j such that 0 + 0*j - 1/2*j**h - 1/2*j**5 + j**4 + 0*j**2 = 0.
0, 1
Let a = 28 + -34. Let v(c) = 4*c + 26. Let h be v(a). Factor 3/2*t**5 + 0*t**h + 0*t - 3*t**4 + 3/2*t**3 + 0.
3*t**3*(t - 1)**2/2
Let f(m) be the second derivative of 34*m - 5/12*m**4 - 15*m**2 + 3/2*m**5 - 95/6*m**3 + 0. Let f(s) = 0. Calculate s.
-3/2, -1/3, 2
Let g(f) be the third derivative of f**5/390 - 17*f**4/78 + 64*f**3/39 - 64*f**2 + 3*f. What is k in g(k) = 0?
2, 32
Suppose -3*q - 7 - 2 = s, 26 = 2*s - 5*q. Suppose -35*a**3 + 12*a + 9*a**2 + 8*a**s - 12 + 12*a = 0. Calculate a.
-1, 2/3
Let w = 17 - 12. Suppose 2*i + w = 7. Suppose -3/2*m**2 + 1/2*m + i = 0. What is m?
-2/3, 1
Factor 1/3*u**3 - 704/3 - 112/3*u + 5/3*u**2.
(u - 11)*(u + 8)**2/3
Suppose 3*y = 6, -2*y = u - y - 2. Suppose u*g + 20 = 5*g. Factor -27*o**3 + 36*o**3 - 33*o**3 + 9*o**2 + 16*o**g.
o**2*(4*o - 3)**2
Let l(q) be the third derivative of -q**6/540 + q**5/45 - q**4/9 + q**3 - 8*q**2. Let m(r) be the first derivative of l(r). Determine x, given that m(x) = 0.
2
Suppose 0 = -3*x - 4*g - 12, 190*x - g = 191*x + 3. Find u such that 14/3*u**2 + 4/3*u + x + 4/3*u**4 + 14/3*u**3 = 0.
-2, -1, -1/2, 0
Suppose -3*c - 5 = -8. Let b be 0/(-1) - (-1 - c). Solve 2 + 3*j**b - 9*j**2 + 4*j**2 = 0 for j.
-1, 1
Factor 216*s - 141*s - 243*s**3 + 31*s**4 + 577*s**2 - 432 + 393*s - 10*s**4 + 59*s**2.
3*(s - 6)**2*(s + 1)*(7*s - 4)
Let l(j) = j**3 - 8*j**2 + 10*j + 12. Let m be l(6). Let f(g) be the second derivative of m - 2/3*g**3 + 5*g - 1/6*g**4 - g**2. Factor f(p).
-2*(p + 1)**2
Let a(s) be the first derivative of -s**5/90 + s**4/27 + 13*s + 2. Let c(y) be the first derivative of a(y). Determine k so that c(k) = 0.
0, 2
Let 5*m**4 + 5/2*m**5 + 15/2*m + 0 - 5*m**2 - 10*m**3 = 0. Calculate m.
-3, -1, 0, 1
Factor 17*t + t - 3*t**2 - 42 + 7*t + 30*t - 10*t.
-3*(t - 14)*(t - 1)
Let k(y) be the first derivative of -y**5/5 - 5*y**4/2 - 11*y**3 - 22*y**2 - 20*y - 202. Factor k(l).
-(l + 1)*(l + 2)**2*(l + 5)
Factor -150/7*s - 74/7 - 2/7*s**3 - 78/7*s**2.
-2*(s + 1)**2*(s + 37)/7
Let o = -16/31 + 110/93. Find b such that 2/3*b**2 - 2/3*b - 2/3 + o*b**3 = 0.
-1, 1
Let f(s) be the first derivative of 1/35*s**5 + 0*s**3 + 1/28*s**4 + 0*s + 0*s**2 - 9. Factor f(d).
d**3*(d + 1)/7
Factor 112*o + 168 + 4*o**2 + o**3 + 5*o - 67*o**2 + 2*o**3 - 225.
3*(o - 19)*(o - 1)**2
Let p = -127 - -135. Let r(f) be the first derivative of -2/3*f**3 + p*f - 5 + 0*f**2. Factor r(h).
-2*(h - 2)*(h + 2)
Let i = 19186 + -19176. Find h, given that 2/5*h**2 + i + 4*h = 0.
-5
Suppose -69 = -22*q + 41. Let s(i) be the first derivative of 3/4*i**4 - 7/3*i**3 - 3/2*i**2 + i**q + 2*i + 3. Solve s(r) = 0.
-1, 2/5, 1
Let x(a) be the first derivative of 10*a**5 - 22 + 5*a**4 + 0*a + 0*a**2 - 40/3*a**3 + 5/2*a**6. Suppose x(m) = 0. Calculate m.
-2, 0, 2/3
Let l(x) be the second derivative of x**5/4 + 155*x**4/6 + 2240*x**3/3 - 5120*x**2 + 11*x - 19. Factor l(h).
5*(h - 2)*(h + 32)**2
Suppose -1 = 4*t - 5*t, 0 = -u - 3*t + 7. Suppose -22 = -j - 5*v, -4*v = -9*j + u*j - 6. Factor -3*h - j*h**2 - 3*h - 2 - 2*h**2.
-2*(h + 1)*(2*h + 1)
Let g(f) be the second derivative of -f**7/24 - f**6/40 + 5*f - 1. Determine z, given that g(z) = 0.
-3/7, 0
Suppose k = 5*i - 14, -i - 2*k = -3*i + 4. Suppose 0*a + i*a = a. Solve a - 1/2*n**4 + 1/2*n**3 + 3/2*n + 5/2*n**2 = 0 for n.
-1, 0, 3
Let m be (4/(-8) + -1)*38. Let c be (m/95)/((-1)/5). Factor 4*t - t**4 - 2*t**2 - t**2 - 4*t**c + 2 + 2 + 0*t**2.
-(t - 1)*(t + 1)*(t + 2)**2
Let a(x) be the second derivative of 2*x**7/21 + 4*x**6/5 + 8*x**5/5 - 3*x - 12. S