*3 = 0. What is k?
1, 2
Let d(s) be the first derivative of -256/9*s - 32/9*s**2 - 4/27*s**3 - 52. Let d(g) = 0. Calculate g.
-8
Suppose -14*x + 17*x = 12*x. Let f(q) be the third derivative of 5/2*q**3 + x*q - 35/24*q**4 + 1/6*q**5 - 12*q**2 + 0. Let f(b) = 0. Calculate b.
1/2, 3
Let u be (-8)/2 - (-17 + 9). Factor -4*p + 8*p**5 + p**5 - 7*p**5 + 6*p**2 + 2*p**3 - 6*p**u.
2*p*(p - 2)*(p - 1)**2*(p + 1)
Let a(o) be the third derivative of -6*o**2 - 4/3*o**5 + 0*o + 0*o**3 + 1/840*o**8 + 0 - 16/525*o**7 + 3/10*o**6 + 25/12*o**4. Factor a(w).
2*w*(w - 5)**3*(w - 1)/5
Let u(r) = -r**4 + r**2 + r + 1. Let i(o) = -6*o**4 - 3*o**3 + 6*o**2 + 12*o + 9. Let q = -28 + 19. Let n(s) = q*u(s) + i(s). Find g such that n(g) = 0.
-1, 0, 1
Determine z, given that 138*z**2 + 0 + 2/7*z**4 - 126*z - 86/7*z**3 = 0.
0, 1, 21
Let d(c) be the first derivative of -c**5/270 - 5*c**4/54 - 25*c**3/27 + 5*c**2/2 - 8. Let y(w) be the second derivative of d(w). Determine x so that y(x) = 0.
-5
Factor u**3 - 3/4*u**2 + 0 - 5/2*u.
u*(u - 2)*(4*u + 5)/4
Let d be (-1098)/(-1530) - 2/17. Determine u, given that d*u**2 - 12/5 + 9/5*u = 0.
-4, 1
Factor 36*b**5 - 12*b**2 - 6*b**4 - 70*b**5 - 36*b**3 + 28*b**5 - 21*b**4.
-3*b**2*(b + 2)**2*(2*b + 1)
Let m(u) be the first derivative of -22*u**3/27 + 112*u**2/9 - 40*u/9 - 877. Factor m(q).
-2*(q - 10)*(11*q - 2)/9
Let l(h) = h**2 + 2*h + 4. Let y(v) = v**2 + v + 4. Let o(w) = -3*l(w) + 2*y(w). Factor o(b).
-(b + 2)**2
Let n(z) = 4*z**2 - z + 1. Let d be n(2). Suppose -d = -6*g + g. Factor 3*s + 0*s**4 + 0*s**g - 3*s**4 - 3*s**3 + 3*s**2.
-3*s*(s - 1)*(s + 1)**2
Let l be 20/2 + -6 + 16/(-16). Suppose 1/3*k**4 - 2/3*k**l + 0*k + 1/3*k**5 + 0 + 0*k**2 = 0. What is k?
-2, 0, 1
Let k(u) be the second derivative of -u**4/18 + 8*u**3/3 - 21*u**2 - 24*u - 4. Factor k(w).
-2*(w - 21)*(w - 3)/3
Let z(k) be the second derivative of k**6/20 + 3*k**5/20 - k**4/4 + 3*k**2 + 8*k. Let y(d) be the first derivative of z(d). Factor y(t).
3*t*(t + 2)*(2*t - 1)
Let x(c) be the second derivative of c**4/132 + c**3/33 - 4*c**2/11 - 148*c. Factor x(l).
(l - 2)*(l + 4)/11
Let s(y) = -y**3 + y. Let f(q) = -24*q**3 + 16*q**2 + 8*q. Let x = -5 - -9. Suppose -2*a + x = 2*a. Let m(r) = a*f(r) - 20*s(r). Factor m(i).
-4*i*(i - 3)*(i - 1)
Let c be (-9)/21 - 1573/(-77). Suppose -c + 18 = -m. Suppose -3/2 + 2*t - 1/2*t**m = 0. Calculate t.
1, 3
Suppose 2*v + 14 = -0. Let r be (-4)/v*28/8. Factor 11*b + 12 + 18*b - 21*b**r - 8*b + 15*b.
-3*(b - 2)*(7*b + 2)
Let f be (81/42)/(-9)*1197/(-513). Determine v, given that 1/2*v + 0 - f*v**2 = 0.
0, 1
Let o(z) be the first derivative of -9*z**7/280 - 2*z**6/15 + z**5/10 + 44*z**3/3 - 40. Let v(a) be the third derivative of o(a). Suppose v(k) = 0. What is k?
-2, 0, 2/9
Factor 20*q**3 - 8*q - 2*q - 8*q - 2*q**4 + 4*q**2 + 8*q**4 - 2*q**5 - 2 - 8.
-2*(q - 5)*(q - 1)*(q + 1)**3
Let h be ((-50)/30)/(49/(-42) + 0). Find j such that -8/7 + h*j - 2/7*j**2 = 0.
1, 4
Factor -2/5*r**4 + 24/5*r**3 + 24*r - 92/5*r**2 - 10.
-2*(r - 5)**2*(r - 1)**2/5
Let t be (-3)/(-5)*(-6545)/(-2142). Let -t*r**2 + 1/2*r**3 + 5/6*r + 1/2 = 0. What is r?
-1/3, 1, 3
Suppose 1/5*n**2 + 1/5*n - 2/5 = 0. Calculate n.
-2, 1
Let t(n) be the second derivative of -4/9*n**2 + 1/18*n**4 - 4/27*n**3 + 1/135*n**6 + 0 + 19*n + 2/45*n**5. Factor t(s).
2*(s - 1)*(s + 1)*(s + 2)**2/9
Let o(q) be the first derivative of 243*q**5/140 + 9*q**4/7 + 2*q**3/7 - 11*q + 12. Let j(c) be the first derivative of o(c). Find s, given that j(s) = 0.
-2/9, 0
Factor 2*d**3 - 16*d - 36*d + 2*d**2 + 64*d + d**3 - 5*d**3.
-2*d*(d - 3)*(d + 2)
Factor -2/7*y**2 - 184/7 + 54/7*y.
-2*(y - 23)*(y - 4)/7
Let j(g) be the first derivative of -g**5/10 + g**4/4 + 4*g**3/3 - 89. Factor j(t).
-t**2*(t - 4)*(t + 2)/2
Let w(h) be the first derivative of -4*h - 12 - 2/3*h**3 - 3*h**2. Factor w(f).
-2*(f + 1)*(f + 2)
Let n(t) = -t**2. Let d(j) = 2*j**3 - 36*j**2 + 64*j - 56. Let z(r) = 2*d(r) - 28*n(r). Determine c, given that z(c) = 0.
2, 7
Let s(p) be the second derivative of p**6/2880 - p**5/192 - 13*p**3/2 + 38*p. Let k(j) be the second derivative of s(j). Suppose k(h) = 0. Calculate h.
0, 5
Let b be ((-141)/94)/(6/(-16)). Let z(y) be the second derivative of 1/8*y**b - 3/80*y**5 + 0*y**2 + 0*y**3 - 2*y + 0. Factor z(q).
-3*q**2*(q - 2)/4
Let x = 1628 - 1628. Factor x - 3/8*o + 3/8*o**2.
3*o*(o - 1)/8
Let b(q) be the first derivative of -2*q**5/7 - 2*q**4/7 + 10*q**3/7 + 22*q**2/7 + 16*q/7 - 49. Solve b(o) = 0 for o.
-1, -4/5, 2
Let n(z) be the second derivative of -z**5/10 - 45*z**4/8 - 187*z**3/2 + 289*z**2/4 + 574*z. Find k such that n(k) = 0.
-17, 1/4
Let r(s) = 3*s + 2. Let q be r(-2). Let j be (-20)/24*q/5. Factor 0*f - j*f**2 + 0.
-2*f**2/3
Let f(h) = h + 6. Let a be f(-6). Let m = 3 - a. Factor -5*b**3 - b - 7*b**2 + 6 + m*b + b**2 + 3*b**3.
-2*(b - 1)*(b + 1)*(b + 3)
Let g(p) be the first derivative of p**6/15 - 74*p**5/25 + 499*p**4/10 - 1166*p**3/3 + 6776*p**2/5 - 10648*p/5 - 38. Factor g(h).
2*(h - 11)**3*(h - 2)**2/5
Factor -3/8*k**3 - 8649/8*k + 279/8*k**2 + 89373/8.
-3*(k - 31)**3/8
Let p be 8/4 + (0 - -1). Let v(d) be the first derivative of 4*d**3/3 - d - 10. Let r(f) = -f**2 - 1. Let z(b) = p*r(b) + v(b). Factor z(w).
(w - 2)*(w + 2)
Suppose -6*s = 27 - 33. Let z be ((1 - 1)/(-2 - -1))/s. Determine p so that -1/8*p**5 + 0 + 0*p + 1/8*p**3 + z*p**2 + 0*p**4 = 0.
-1, 0, 1
Let a(b) = 11*b**3 + 6*b**2 - 5*b. Let s(c) = 16*c**3 + 9*c**2 - 7*c. Let y be ((-21)/8 + 1/8)*-2. Let p(f) = y*s(f) - 7*a(f). Factor p(k).
3*k**2*(k + 1)
Factor 8*c + 9*c**3 + 4*c**4 - 11*c**5 - 12*c**2 + 3*c**3 - 8*c**2 + 7*c**5.
-4*c*(c - 1)**3*(c + 2)
Suppose -5*i**3 - 61440*i - 3658*i**2 - 1310720 + 6431*i**2 - 3733*i**2 = 0. Calculate i.
-64
Suppose g - 7 = 5*x, -6 = -5*g - 176*x + 172*x. Factor 0 + 4/3*n**3 - 4*n**g + 8/3*n.
4*n*(n - 2)*(n - 1)/3
Let g(a) be the first derivative of -32 + 0*a - 1/15*a**3 + 3/10*a**2. Solve g(s) = 0.
0, 3
Let p(j) be the third derivative of -2/75*j**5 + 3/20*j**4 - 2/15*j**3 + 0*j + 0 - 12*j**2. Factor p(d).
-2*(d - 2)*(4*d - 1)/5
Let v(p) be the first derivative of p**5/10 - p**3 - 2*p**2 + 5*p + 19. Let d(t) be the first derivative of v(t). Factor d(s).
2*(s - 2)*(s + 1)**2
Let j = -118 + 124. Let q be -2*j*(-5 - (-68)/14). Factor -12/7*b**2 - 40/7*b - q.
-4*(b + 3)*(3*b + 1)/7
Let v(h) be the second derivative of -h**4/2 - 28*h**3/15 + 4*h**2/5 - 604*h. Factor v(d).
-2*(d + 2)*(15*d - 2)/5
Let c(v) = -23*v - 7. Let j be c(-3). Find n such that -n**3 - 6*n**2 - j*n**4 + 64*n**4 - 3*n**3 = 0.
-1, 0, 3
Find m, given that -8 - 296*m + 388*m**2 + 1692*m**3 + 10830*m**5 - 8*m - 3238*m**2 - 218*m**3 + 14858*m**4 = 0.
-1, -2/3, -1/19, 2/5
Suppose -2*a + p = 0, 3*a + 5*p - 16 = 10. Let y(i) be the third derivative of -1/18*i**3 + 0*i - 1/180*i**5 + 2*i**a + 0 - 1/36*i**4. Factor y(o).
-(o + 1)**2/3
Factor -1/2*g**4 + 0 + 2916*g - 1566*g**2 + 55*g**3.
-g*(g - 54)**2*(g - 2)/2
Let h = 2011/2 + -1005. Factor w**3 + h*w + 1/4*w**4 + 5/4*w**2 + 0.
w*(w + 1)**2*(w + 2)/4
Let y(z) be the second derivative of -z**4/20 + 61*z**3/10 - 18*z**2 - 348*z. Determine l, given that y(l) = 0.
1, 60
Let h(z) be the first derivative of -5*z**4/4 + 20*z**3/3 - 15*z**2/2 - 8. Determine g, given that h(g) = 0.
0, 1, 3
Let j(h) = 3*h + 17*h**2 + 21*h**2 + 12 - 35*h**2. Let o(l) = -l + 1. Let s(u) = -j(u) + 12*o(u). Let s(b) = 0. Calculate b.
-5, 0
Let x(d) be the third derivative of -3*d**8/560 - d**7/350 + 21*d**6/200 - 11*d**5/100 - 3*d**4/20 + 79*d**2. Find a such that x(a) = 0.
-3, -1/3, 0, 1, 2
Suppose 5*g + o = -157, -2*g + 3*o - 71 = 2. Let f be (-84)/g + 9/24. Factor 7/3*c**5 + 40/3*c**2 + 10*c**4 + 5*c + 50/3*c**f + 2/3.
(c + 1)**4*(7*c + 2)/3
Let h(m) be the first derivative of -m**3/8 + 75*m**2/16 - 9*m + 80. Let h(x) = 0. What is x?
1, 24
Let q(g) be the second derivative of 0*g**4 - 1/8*g**5 + 5/4*g**3 - 5/2*g**2 + 0 + 26*g. Let q(c) = 0. Calculate c.
-2, 1
Let c(t) = 2*t**3 + t**2 + t - 1. Let p(v) = 9*v**3 - 11*v**2 + 18*v - 4. Let h(s) = -4*c(s) + p(s). Determine n so that h(n) = 0.
0, 1, 14
Let v(w) be the third derivative of -w**5/390 - 7*w**4/78 - w**3/3 - 2*w**2 - 16*w. Factor v(y).
-2*(y + 1)*(y + 13)/13
Let h(m) be the second derivative of -11*m**4 + 136*m**3/3 - 8*m**2 - 227*m + 2. 