2*k**4 + b*k**3 - 4/5*k**5 + 0*k. Find a such that w(a) = 0.
-1, -2/7, 0, 1
Let w(v) = 6*v**2 + 4*v + 9. Let b(n) = n**2 + 1. Let y be (-2)/(134/(-46) + 3). Let f = 22 + y. Let x(m) = f*w(m) + 5*b(m). Factor x(z).
-(z + 2)**2
Let d(k) be the first derivative of 0*k**6 + 2/21*k**7 + 0*k**4 - 2/5*k**5 + 0*k**2 + 2/3*k**3 - 3*k + 9. Let n(v) be the first derivative of d(v). Factor n(z).
4*z*(z - 1)**2*(z + 1)**2
Let j be ((-52)/(-6))/(-1 + (-3)/(-9)). Let q be j/(-6) - (-30)/(-20). Let q*z + 2*z**3 + 0 - 2*z**2 - 2/3*z**4 = 0. What is z?
0, 1
Solve -3/4*k**2 + 0 - 9/2*k = 0.
-6, 0
Suppose -7*v + 113 = 29. Determine l so that 8*l**2 + 20*l**3 - v*l**4 + 17*l**4 + 17*l**2 + 10*l = 0.
-2, -1, 0
Let d = 7/17 + 47/51. Find f such that 0 - 1/3*f - 2*f**5 + d*f**3 + 7/6*f**2 - 13/6*f**4 = 0.
-1, 0, 1/4, 2/3
Factor -120/7 - 2/7*d**3 + 8/7*d + 30/7*d**2.
-2*(d - 15)*(d - 2)*(d + 2)/7
Let -3/7*w**4 - 3*w**3 + 30/7 - 87/7*w + 81/7*w**2 = 0. What is w?
-10, 1
Let d be (-3 - -7)*1*1. Let c(n) = -5*n - 6. Let s be c(-2). Suppose 146 + d*t**3 - t**4 + s*t**2 - 146 - t**5 = 0. Calculate t.
-2, -1, 0, 2
Suppose -9 - 3 = 6*s. Let a be ((1/s)/(-1))/(161/92). Solve 0*w + 2/7 - a*w**2 = 0.
-1, 1
Suppose -26 = -s - 24. Factor 3*v**3 + v**5 + 0*v**3 - 2*v**5 - 2*v**s.
-v**2*(v - 1)**2*(v + 2)
Find l, given that -24*l + 88/9*l**4 + 0 + 2/3*l**5 + 56*l**2 + 134/3*l**3 = 0.
-6, -3, 0, 1/3
Suppose 0*t + 4*h - 34 = -5*t, 5*t = 4*h + 66. Let x be (4/t)/((-1)/(-5)). Determine c so that c**2 + c**x + 3*c + 6 - 5*c**2 = 0.
-1, 2
Suppose 2*k + 7*k - 108 = 0. Let h be 2/k - (-5 - 54/(-12)). Suppose -h*j**2 + 4/3*j + 2 = 0. Calculate j.
-1, 3
Let r = 21559/15 - 1437. Factor -26/15*f**2 - r*f + 0.
-2*f*(13*f + 2)/15
Suppose 0 + 0*y + 19/2*y**2 + 11/3*y**3 + 1/6*y**4 = 0. What is y?
-19, -3, 0
Let r(b) be the second derivative of b**7/84 + b**6/20 - b**5/8 - b**4/8 + b**3/3 + 417*b. Find o such that r(o) = 0.
-4, -1, 0, 1
Let m(w) be the second derivative of 5*w**7/42 - 7*w**5/4 + 5*w**4/2 - 206*w. Factor m(b).
5*b**2*(b - 2)*(b - 1)*(b + 3)
Suppose -a + 18 = -2*j, 5*a + 93 = -3*j + 66. Factor 0*c**2 + 3/7*c**4 + a*c**3 + 0*c + 0.
3*c**4/7
Let r be (-10)/25 + 246/15. Factor -18*o + r*o**4 - 49*o**2 + 10*o**2 - 5 + 5 - 8*o**3.
o*(o - 2)*(4*o + 3)**2
Let w be (8/(-18))/((-4)/3). Let d(l) be the second derivative of w*l**3 - 2/15*l**6 - 1/21*l**7 + 0 + 1/3*l**4 + 0*l**2 + 0*l**5 + 5*l. Factor d(k).
-2*k*(k - 1)*(k + 1)**3
Let o(w) = -w**3 - 11*w**2 - 12*w - 17. Let a be o(-10). Factor 0*x**3 - a*x**3 + 6*x**3 + 2*x**3 - 5*x**2.
5*x**2*(x - 1)
Let x(q) = 4*q**2 - 1436*q - 1504. Let w(j) = -j**2 + 481*j + 502. Let z(a) = 16*w(a) + 5*x(a). Factor z(s).
4*(s + 1)*(s + 128)
Let b = 4457/35 - 890/7. Factor 0*i + 1/5 - b*i**2.
-(i - 1)*(i + 1)/5
Let v(k) = k**3 + 80*k**2 + 180*k + 1875. Let j be v(-78). Determine b, given that -2/3*b**2 + 0*b + 2/3*b**5 - 2/3*b**j + 2/3*b**4 + 0 = 0.
-1, 0, 1
Let j(i) be the second derivative of i**5/3 + 15*i**4/8 + 5*i**3/3 - 11*i**2 + 17*i. Let d(l) be the first derivative of j(l). Factor d(f).
5*(f + 2)*(4*f + 1)
Let i(q) be the first derivative of -q**5/15 - q**4/12 + q**3/3 + q**2/6 - 2*q/3 + 161. Suppose i(n) = 0. What is n?
-2, -1, 1
Let w be ((-8)/(-3))/(-8*4/(-48)). Let a = -19 - -19. Determine q, given that a + 0*q**3 + 0*q**2 + 0*q + 1/4*q**5 - 1/4*q**w = 0.
0, 1
Let o(a) = 21*a**3 + 354*a**2 - 3*a - 300. Let f(w) = -6*w**3 - 101*w**2 + w + 86. Let j(r) = 18*f(r) + 5*o(r). Determine t so that j(t) = 0.
-16, -1, 1
Factor -27*s**5 + 13*s**5 - 4*s - 13*s**2 - 24*s**3 - 16*s**4 + 0*s + 10*s**5 - 3*s**2.
-4*s*(s + 1)**4
Suppose -21*a + 2*i = -26*a - 8, 5*i + 20 = 4*a. Let d(b) be the second derivative of -4/7*b**3 + a - 3/28*b**4 + 3*b + 9/14*b**2. Factor d(u).
-3*(u + 3)*(3*u - 1)/7
Let z(w) be the first derivative of 52*w**5/5 + 28*w**4 + 16*w**3/3 + 11. Factor z(r).
4*r**2*(r + 2)*(13*r + 2)
Suppose 23 = 3*t - 5*j, -34 = -3*t - 2*t + 4*j. Let y be (7/42)/(5/t). Find f, given that 0 + 0*f**2 + 0*f + 1/5*f**4 + 0*f**3 + y*f**5 = 0.
-1, 0
Suppose -2*t - 6*t + 24 = 0. Factor -5*w**t + 19*w + w**3 - 32 - 67*w - 15*w**2 - 9*w**2.
-4*(w + 2)**3
Suppose 3 = 4*v - 25. Suppose -n**2 - v*n**5 + 4*n**2 + 5*n**3 + 2*n**5 + n**4 - 4*n**2 = 0. What is n?
-1, 0, 1/5, 1
Let j(g) be the first derivative of -5*g**3/3 - 25*g**2/2 + 30*g - 83. Factor j(h).
-5*(h - 1)*(h + 6)
Let m(v) be the first derivative of -5*v**3 - 55*v**2/2 - 30*v - 52. Determine o so that m(o) = 0.
-3, -2/3
Let t(o) be the second derivative of 4/15*o**3 + 27/50*o**5 + 4*o**2 + 6*o + 0 - 3/5*o**4. Let a(f) be the first derivative of t(f). What is b in a(b) = 0?
2/9
What is l in -68/5*l**3 - 432/5*l - 72*l**2 + 864/5 - 4/5*l**4 = 0?
-6, 1
Let u(d) be the first derivative of -d**4/2 - 28*d**3/3 - 32*d**2 + 256*d + 73. Let u(a) = 0. Calculate a.
-8, 2
Let s be (-89)/40 + -1 + 6/(-16). Let f = -106/35 - s. Factor -f*y**3 + 0 + 2/7*y**2 + 2/7*y.
-2*y*(y - 1)*(2*y + 1)/7
Let f(k) be the second derivative of k**6/60 + k**5/75 + 3*k**2 + 2*k. Let r(t) be the first derivative of f(t). Factor r(j).
2*j**2*(5*j + 2)/5
Let u be (-6)/15*120/(-64)*4. Determine w, given that 0 - 16/3*w + 16/3*w**2 - 4/3*w**u = 0.
0, 2
Let j = 255 - 509/2. Let t(o) be the second derivative of -9/10*o**5 - j*o**4 + 0 + 8/3*o**3 - 6*o + 4*o**2. Factor t(i).
-2*(i - 1)*(3*i + 2)**2
Let h(p) be the first derivative of -3/4*p**4 + 0*p + 3/2*p**2 + 31 + 1/5*p**5 - 1/3*p**3. Let h(c) = 0. Calculate c.
-1, 0, 1, 3
Suppose -3*g + 11 + 4 = 0. Factor -5*a**2 - a**3 + 0*a**3 - 4*a**3 - g*a**3 + 5*a.
-5*a*(a + 1)*(2*a - 1)
Factor -6*p**4 + 66*p**3 - 53*p**3 - p**5 + 2*p**3 - 8*p**2.
-p**2*(p - 1)**2*(p + 8)
Let a(h) = 4*h**2 + 242*h + 124. Let x be a(-60). Let k(r) be the first derivative of -4/5*r**2 + 0*r - 1/10*r**x + 8/15*r**3 - 8. Suppose k(u) = 0. What is u?
0, 2
Let b be 1/(-4) + (-39)/(-12). Let q = b - -2. Factor 4 - 4 + c - 2*c**2 - q*c - 2.
-2*(c + 1)**2
Let h(q) be the second derivative of 1/24*q**4 + 0 + 28*q + 0*q**2 + 0*q**5 - 1/18*q**3 - 1/180*q**6. Factor h(t).
-t*(t - 1)**2*(t + 2)/6
Let h = -83/2 + 42. Let f = -3 - -3. Let -h*l**2 + 1/2*l**5 + f*l + 1/2*l**4 - 1/2*l**3 + 0 = 0. What is l?
-1, 0, 1
Let t be (7 - 1)*(-6)/(-9). Solve 0*x**t - x**5 + x**3 - 3*x**4 - x**2 - 7*x**3 + 3*x**3 = 0 for x.
-1, 0
Let z = 1471 - 1471. Factor 1/2*w**3 + z*w - 1/6*w**4 + 0 - 1/3*w**2.
-w**2*(w - 2)*(w - 1)/6
Let p(u) be the first derivative of 5/36*u**4 + 1/15*u**5 + 0*u**2 + 1/27*u**3 - 23 - 1/6*u**6 + 0*u. What is a in p(a) = 0?
-1/3, 0, 1
Suppose p = -1 - 0. Let r = 5 + p. Let 0*n**3 - 5*n**2 - 6*n**3 + 3*n**3 - 1 - r*n + n**3 = 0. Calculate n.
-1, -1/2
Let x(n) be the second derivative of n**4/24 + 2*n**3/3 + 4*n**2 + 87*n. Suppose x(i) = 0. Calculate i.
-4
Let h be (-295)/5841 - (-6)/22. Let u(m) be the first derivative of 4/3*m + 5 + h*m**3 - 11/9*m**2. Solve u(x) = 0.
2/3, 3
Let c be ((-3)/(-63))/((-52)/8 + 7). Suppose 2/21*j**5 - 2/21*j**2 - c*j**3 + 2/21*j**4 + 0*j + 0 = 0. What is j?
-1, 0, 1
Let f(z) = z**3 - 2*z**2 - z + 23. Let y be f(0). Suppose -2*m - y = -2*t - m, -7 = -t - 4*m. Factor 18*s - 8*s**3 + 9*s + t*s**3 + 18*s**2 + 0*s.
3*s*(s + 3)**2
Let i(s) = -4*s**2 - 1. Let d(a) = 19*a**2 + 112*a - 3131. Let w(u) = -3*d(u) - 15*i(u). Factor w(j).
3*(j - 56)**2
Let s(z) be the first derivative of z**4/2 + 16*z**3/3 - 19*z**2 + 20*z + 95. Factor s(q).
2*(q - 1)**2*(q + 10)
Let i(c) be the third derivative of 1/40*c**5 + 0*c**3 - 1/140*c**7 + 1/224*c**8 + 0 + 2*c**2 + 0*c**4 + 0*c - 1/80*c**6. Factor i(z).
3*z**2*(z - 1)**2*(z + 1)/2
Suppose 45*k = -k + 138. Let v(a) be the first derivative of 3/2*a**4 + 0*a - k*a**2 - 3*a**5 + 5*a**3 + 4. Factor v(w).
-3*w*(w - 1)*(w + 1)*(5*w - 2)
Let y be (-88)/(-20) - 1 - (-2)/(-5). Let k(l) be the second derivative of 0 + 3*l - 1/14*l**7 + 0*l**2 - 2*l**y + 3/5*l**6 - 39/20*l**5 + 3*l**4. Factor k(w).
-3*w*(w - 2)**2*(w - 1)**2
Suppose 2*y + 0*y + 4*j = 0, y = j - 15. Let i be 4/y - (-6)/10. Factor 0 + 2/5*z**2 + 1/5*z**3 + i*z.
z*(z + 1)**2/5
Let u(r) be the first derivative of -r**5/360 + r**4/48 - r**3/18 - 13*r**2/2 + 2. Let z(y) be the second derivative of u(y). Determine f so that z(f) = 0.
1, 2
Let i(x) be the first derivative of -x**6/240 + x**5/120 + 7*x**2/2 + 3. Let z(j) be