**3 + 0*r**3 - 3*r**v - r**4 - r + 2*r**3 = 0. Calculate r.
-1, 0
Solve 1/4*n**2 + 35/4*n + 0 = 0 for n.
-35, 0
Suppose 0 = -186*q + 393 + 165. Factor 125/9*a - 1/9*a**4 + 0 + 5/3*a**q - 25/3*a**2.
-a*(a - 5)**3/9
Let m(b) = -2*b + 2. Let v(x) = 7*x**2 + 19*x + 18. Let p(w) = 15*m(w) - 5*v(w). Factor p(o).
-5*(o + 3)*(7*o + 4)
Let z(y) be the first derivative of 11/9*y**4 + 2/9*y**2 - 3 + 28/27*y**3 + 0*y + 4/9*y**5. What is b in z(b) = 0?
-1, -1/5, 0
Let y(v) be the third derivative of -v**5/135 + 19*v**4/27 + 3*v**2 + 23*v. Factor y(z).
-4*z*(z - 38)/9
Let l(i) = i**2 + 277*i - 1121. Let c be l(4). Find u, given that -2 + 6*u**2 - 27/5*u + 7/5*u**c = 0.
-5, -2/7, 1
Let k(c) = -c**2 + 10*c + 14. Let q be k(11). Suppose 0 = -t + i - 2, -8*t + 3*t = -q*i. Factor 3*p**2 - 3*p**2 + 18*p**4 + 6*p**3 + t*p**4.
3*p**3*(7*p + 2)
Let w(f) be the first derivative of 232*f**3/21 - 18*f**2/7 - 40*f/7 + 172. Let w(o) = 0. Calculate o.
-10/29, 1/2
Suppose 0 = 7*q + 5*q - 72. Let x(h) be the third derivative of -1/120*h**q + 3/20*h**5 + 0 + 9/2*h**3 + 0*h - 9/8*h**4 + 6*h**2. Factor x(m).
-(m - 3)**3
Suppose 5*q - 2 = -12. Let w be q/(-3) + (-3)/45. Factor 3/5 - 6/5*v + w*v**2.
3*(v - 1)**2/5
Suppose -4*u = o + 4*o - 34, 0 = 2*o - 5*u - 7. Let d = o - 4. Factor y**3 + 6*y**2 + 0*y**3 + 5*y**2 - 9*y**d.
y**2*(y + 2)
Let k(d) = -d + 17. Let u be k(7). Suppose 2*n + i = -3*i + u, -2*n - i + 10 = 0. Suppose 0*z**3 + 0 + 0*z**2 + 0*z - 1/2*z**n + 0*z**4 = 0. Calculate z.
0
Let l be 17/(-68)*7/(21/(-36)). Suppose 5*o + w = 23, -5*o + l*w + 32 = 7*w. Suppose -4/7*x + 18/7*x**2 - 18/7*x**3 + 6/7*x**5 + 0 - 2/7*x**o = 0. Calculate x.
-2, 0, 1/3, 1
Let r be (-88)/(-176)*(1 - 1). Let r + 2/3*b**3 - 2/3*b - 2/3*b**2 + 2/3*b**4 = 0. Calculate b.
-1, 0, 1
Let c = 391/1855 - 4/371. Find l, given that 0 - c*l + 1/5*l**2 = 0.
0, 1
Let z(w) = 4*w**2 + 19*w - 12. Let f(b) = -6*b**2 + 7*b**2 + 0*b**2 + 6*b - 4. Let o(p) = -7*f(p) + 2*z(p). Suppose o(d) = 0. What is d?
2
Let q(t) = -104*t**2 + 35*t + 35. Let r(b) = 38*b**2 - 12*b - 12. Let m(u) = 4*q(u) + 11*r(u). Let m(g) = 0. Calculate g.
-2
Let m(z) = -z**4 + z**3 - 6*z**2 - 13*z - 5. Let n(o) = -5*o**4 + 3*o**3 - 24*o**2 - 51*o - 19. Let j(p) = -26*m(p) + 6*n(p). Factor j(r).
-4*(r - 2)*(r + 1)**2*(r + 2)
Suppose 0 = -3*h + h - 10. Let p be h - -4 - 1*-3. Solve 2*j**3 + 0*j**4 + j**2 - 3*j**2 - 2*j + p*j**4 = 0 for j.
-1, 0, 1
Let g(l) = -3*l + 0 - 4*l**2 + 2 - l**3 + 1. Let z be g(-3). Let v**3 + 3*v**4 - v**5 - z*v + 3*v - 3*v**2 + 0*v = 0. What is v?
-1, 0, 1, 3
Let z(y) = 4*y**2 + 52*y + 2. Let b(v) = -5*v**2 - 50*v - 3. Let w(a) = 2*b(a) + 3*z(a). Factor w(p).
2*p*(p + 28)
Let s(q) be the second derivative of -5*q**7/42 - 3*q**6/2 - 27*q**5/4 - 155*q**4/12 - 10*q**3 - 10*q - 4. Let s(r) = 0. What is r?
-4, -3, -1, 0
Let q(o) = o**2 - 13*o - 2. Let w(n) = n**2 - 25*n - 4. Suppose 4*a - 31 = 13. Let u(k) = a*q(k) - 6*w(k). Factor u(y).
(y + 1)*(5*y + 2)
Let f(h) be the third derivative of h**11/266112 + h**10/201600 - h**9/120960 - 4*h**5/15 + 7*h**2. Let w(z) be the third derivative of f(z). Factor w(d).
d**3*(d + 1)*(5*d - 2)/4
Let x(g) = 3*g**3 + 23*g**2 + 17*g. Let q(t) = t**3 + 8*t**2 + 6*t. Suppose -3*a = 5*h - a + 95, -a = -4*h - 63. Let l(n) = h*q(n) + 6*x(n). Factor l(j).
j**2*(j + 2)
Let o = 225 - 229. Let j be (-42)/(-21) + (-142)/o - 0. Suppose -18*n**3 - j*n**2 - 26*n - 6 = 0. Calculate n.
-3/4, -2/3
Let t be (-56)/(-35)*(-4)/(-32). Let c(z) be the second derivative of 1/20*z**5 - 1/6*z**3 - 13*z + 1/30*z**4 - t*z**2 + 0. Let c(m) = 0. What is m?
-1, -2/5, 1
Let j = 26/11 + -41/22. Let c(k) be the second derivative of 4/3*k**3 + 1/15*k**6 + 4*k**2 - j*k**4 - 2*k + 0 - 1/5*k**5. Determine m so that c(m) = 0.
-1, 2
Let b(h) be the second derivative of -h**7/168 + h**6/24 + 3*h**3 - 3*h. Let g(d) be the second derivative of b(d). Factor g(o).
-5*o**2*(o - 3)
Let k(x) be the first derivative of -2*x**3/27 + 52*x**2/3 - 1352*x + 603. What is i in k(i) = 0?
78
Let y = 143 + -143. Let i(v) be the third derivative of 4*v**2 + 1/112*v**8 + 0*v**3 + 1/8*v**4 + 3/20*v**6 + y*v + 0 - 1/5*v**5 - 2/35*v**7. Factor i(h).
3*h*(h - 1)**4
Let c(x) be the first derivative of x**3/27 - x**2/2 + 8*x/9 - 94. Factor c(r).
(r - 8)*(r - 1)/9
Suppose 0 = 28*p + 240 - 296. Factor 2/11*a**3 + 18/11 + 14/11*a**p + 30/11*a.
2*(a + 1)*(a + 3)**2/11
Let 32/7*t + 72/7 - 110/7*t**2 + 38/7*t**4 - 30/7*t**3 - 2/7*t**5 = 0. What is t?
-1, 1, 2, 18
Let k(s) be the second derivative of s**6/255 + s**5/85 - s**4/102 - 2*s**3/51 - 6*s - 17. Factor k(i).
2*i*(i - 1)*(i + 1)*(i + 2)/17
Let b(p) be the third derivative of p**8/1512 - 4*p**7/945 - 4*p**6/135 + 11*p**5/135 + 5*p**4/36 - 2*p**3/3 - 2*p**2 - 2. Solve b(k) = 0 for k.
-3, -1, 1, 6
Let f = -27467/18 + 1526. Let l(k) be the first derivative of -f*k**4 - 2/9*k**3 + 4/9*k + 1/9*k**2 - 6 + 2/45*k**5. Find p, given that l(p) = 0.
-1, 1, 2
Let h(l) be the second derivative of 0 + 1/6*l**4 + 0*l**2 + 0*l**3 + 26*l - 1/10*l**5. Suppose h(m) = 0. Calculate m.
0, 1
Let l = 2173 + -2167. Let d(v) be the second derivative of -4*v**2 - 2/15*v**l - v**5 + 0 - 3*v**4 + 12*v - 14/3*v**3. Factor d(u).
-4*(u + 1)**3*(u + 2)
Let b(w) be the second derivative of -w**5/20 - 3*w**4/8 + 11*w**2/2 - 3*w. Let a(y) be the first derivative of b(y). Suppose a(l) = 0. What is l?
-3, 0
Let a(m) be the second derivative of 7*m**7/15 + 77*m**6/75 + 16*m**5/25 + 2*m**4/15 - 10*m. Let a(i) = 0. What is i?
-1, -2/7, 0
Let z(w) be the first derivative of -1 + 3/4*w**3 - 9/8*w**2 - 3/16*w**4 + 3/4*w. Solve z(s) = 0.
1
Let r(z) = 49*z**3 + 101*z**2 - z - 11. Let v(p) = 21 - 10 + 10 - 201*p**2 + 3*p - 98*p**3. Let u(y) = -5*r(y) - 3*v(y). Find l, given that u(l) = 0.
-2, -2/7, 2/7
Suppose -4*g - 2*p - 204 = 0, -p = 2*p. Let y = -152/3 - g. Factor 0*r + 0 - 1/3*r**3 + y*r**4 + 0*r**2.
r**3*(r - 1)/3
Let y(d) be the first derivative of -d**6/1620 + 7*d**5/540 + 17*d**3 + 39. Let n(f) be the third derivative of y(f). What is w in n(w) = 0?
0, 7
Let q be ((-119)/(-68))/(5/(-180)*-14). Determine z so that -1/2*z**2 - q - 3*z = 0.
-3
Let q be (40/(-210))/(1/(-7)). Let c(o) be the first derivative of -2*o**2 + q*o**3 - 8*o + 2. Factor c(w).
4*(w - 2)*(w + 1)
Let q(w) be the second derivative of w**7/1260 + w**6/72 + w**5/15 + 17*w**4/12 - 13*w. Let b(u) be the third derivative of q(u). What is m in b(m) = 0?
-4, -1
Let d(v) be the third derivative of -v**5/105 - 3*v**4/14 - 4*v**3/3 + 112*v**2. Factor d(g).
-4*(g + 2)*(g + 7)/7
Let w be 8 - (-27)/(1458/(-420)). Factor -11/9*u**2 + 0 + u**4 + w*u + 4/3*u**3.
u*(u + 2)*(3*u - 1)**2/9
Let s = 82 - 78. Factor -45*k + s*k**2 + 12*k + 8*k + k**2.
5*k*(k - 5)
Suppose 26 = -3*y + 35. Let s be 1 + y*4/(-36). Factor 1/3*p**2 + 1/3 + s*p.
(p + 1)**2/3
Solve 12027*u**3 - 12030*u**3 + 5*u**2 - 2*u**2 = 0.
0, 1
Let d(l) = -49*l - 2005. Let k be d(-41). Determine m so that -1/2*m + 4*m**k + 5/2*m**5 - 2*m**3 - 5*m**2 + 1 = 0.
-1, 2/5, 1
Let f(u) = -14*u**2 - 36*u. Let j(r) = 2*r**2 + 2*r - 3. Let g(z) = z + 1. Let m(s) = -3*g(s) - j(s). Let y(q) = -6*f(q) + 44*m(q). Solve y(x) = 0 for x.
-1, 0
Solve -16 + 4/3*r**2 + 4/3*r**3 - 32/3*r = 0 for r.
-2, 3
Let g = -2/15549 + 31108/77745. Factor -g*i**2 - 6/5*i + 0.
-2*i*(i + 3)/5
Let y(u) be the third derivative of 0*u**3 + 0*u**6 + 0*u**7 - 7*u**2 + 0*u**5 + 1/168*u**8 + 0*u + 0 + 0*u**4. Find a, given that y(a) = 0.
0
Let y(q) = 2*q**3 + 2*q**2 - 1. Let d(h) = -33*h**3 - 75*h**2 - 42*h + 18. Let b(a) = d(a) + 18*y(a). Find p, given that b(p) = 0.
-1, 0, 14
Let l(k) be the first derivative of 2*k**5/5 + 31*k**4/2 + 170*k**3 + 225*k**2 - 603. What is j in l(j) = 0?
-15, -1, 0
Let m be (0 + -3)/(-3) + 2. Suppose -14 = -2*b - m*d, b + 3*d = -0*b + 10. Factor 0*c**2 + 0*c**3 - c**2 + b*c**2 - 3*c**3.
-3*c**2*(c - 1)
Factor -4/9*i**3 + 0 + 2/9*i**4 + 0*i**2 + 0*i.
2*i**3*(i - 2)/9
Let a(l) be the first derivative of 5*l**4/4 - 255*l**3 + 39015*l**2/2 - 663255*l - 554. Solve a(x) = 0.
51
Let y(a) be the third derivative of a**10/10080 - a**9/7560 - a**8/2240 + a**7/1260 - a**4/24 + 12*a**2. Let j(w) be the second derivative of y(w). Factor j(c).
c**2*(c - 1)*(c + 1)*(3*c - 2)
Let k(p) = -p**3 + 4*p**2. Let d be k(3). Let u = -6 + d. Factor -2*x**3 + x**3 - 