 55*f**3 - 50*f**2 - 20. Let t(u) = 10*r(u) + 3*w(u). Factor t(o).
-5*o**2*(o + 1)**2*(7*o - 2)
Solve -2*t**2 - 2455*t + 2413*t + 42*t**3 - 3*t**4 + 10 - 3*t**4 - 2*t**4 = 0.
-1, 1/4, 1, 5
Let s = 5057 - 166867/33. Let m(b) be the first derivative of -8/11*b - 6 - s*b**3 + 16/11*b**2. Factor m(j).
-2*(j - 2)*(7*j - 2)/11
Let -2/3*d**4 + 0 - 16/3*d + 10/3*d**3 - 4/3*d**2 = 0. Calculate d.
-1, 0, 2, 4
Suppose 0 = 2*i + 5*o + 92, -o - 4*o - 204 = 4*i. Let k = -54 - i. Suppose -18/7 - 2/7*l**k - 12/7*l = 0. What is l?
-3
Factor 0 - 2/11*r**3 + 20/11*r**2 - 32/11*r.
-2*r*(r - 8)*(r - 2)/11
Let k(j) be the first derivative of -1/18*j**3 + 1/3*j + 1/12*j**2 + 44. What is c in k(c) = 0?
-1, 2
Let y(g) = 9*g - 9. Let j be y(1). Let o(v) be the third derivative of 2*v**2 + 1/20*v**5 + 0*v**4 + j + 0*v - 1/2*v**3. Factor o(a).
3*(a - 1)*(a + 1)
Suppose 5*g**2 + 570 + 63*g + 541*g - 29*g = 0. What is g?
-114, -1
Let w(u) = -u**3 + 7*u**2 - 7*u + 6. Let p be w(5). Determine b, given that 24 + 8*b**3 + 7*b**3 - 27*b**2 - p*b**3 + 3*b**4 + 6*b = 0.
-2, -1, 1, 4
Let r(u) be the third derivative of -u**8/784 + 47*u**7/490 - 66*u**6/35 - 144*u**5/35 - 7*u**2 - 7. Suppose r(b) = 0. What is b?
-1, 0, 24
Let b(k) = -2*k**2 - k - 1. Let o(j) = 4*j**4 - 3*j**3 - j**2 + 5*j + 3. Let g(u) = -2*b(u) - o(u). Factor g(c).
-(c - 1)**2*(c + 1)*(4*c + 1)
Let q(c) = 2*c**2 + 12*c + 20. Let w be q(-4). Determine m so that 3/7*m**2 + 0*m**3 + 0 + 0*m - 3/7*m**w = 0.
-1, 0, 1
Let n = 28 - 22. Factor 134*p - n*p**3 - 146*p + 2*p**3 + 16*p**2.
-4*p*(p - 3)*(p - 1)
Suppose -174*b = -170*b - 8. Let i(x) = x + 5. Let j be i(-3). Determine u, given that 4 + j*u**b - 5 + 3 - 4*u = 0.
1
Let f = 484/1215 + 2/1215. Let d(v) be the first derivative of f*v**2 - 7 - 1/15*v**3 - 3/5*v. Find r such that d(r) = 0.
1, 3
Determine g so that 22/7*g - 3 - 1/7*g**2 = 0.
1, 21
Let l(a) = a**3 + 0 - 7*a - 7 + 9*a. Let b(m) = -m + 1. Let k(u) = -15*b(u) - 3*l(u). Suppose k(o) = 0. What is o?
-1, 2
Factor 16/11 + 0*m + 4/11*m**3 + 3/11*m**4 - 1/11*m**5 - 16/11*m**2.
-(m - 2)**3*(m + 1)*(m + 2)/11
Let r be (-10)/(-42)*-1 - (-52)/78. Solve -1/7*v**3 - 2/7*v - r*v**2 + 0 = 0 for v.
-2, -1, 0
Let t(n) be the first derivative of -n**3/12 - 17*n**2/8 - 15*n/2 + 109. Factor t(v).
-(v + 2)*(v + 15)/4
Let y(d) = 4*d**2 - 28*d + 193. Let m(o) = o**2 - 1. Suppose -2*f - 45 + 41 = 0. Let w(v) = f*y(v) + 6*m(v). Find c, given that w(c) = 0.
14
Determine b so that 4*b + 8*b - 284 - 3*b**3 - 15*b**2 + 344 = 0.
-5, -2, 2
Let n(h) = -3*h**3 - 82*h**2 - 499*h - 4. Let p(s) = -6*s**3 - 165*s**2 - 996*s - 9. Let f(r) = 9*n(r) - 4*p(r). Factor f(j).
-3*j*(j + 13)**2
Let p(u) = 2*u + 5 - u - 4 + 2*u**2. Let z be p(-1). Factor 2*r**2 - z*r**2 + 2*r**3 + 10*r**4 - 12*r**4.
-2*r**3*(r - 1)
Let k(p) = p**3 - 8*p**2 - 9*p + 12. Let l be k(9). Factor l*o + 6*o + 10 + 2*o**2 - 6*o.
2*(o + 1)*(o + 5)
Suppose -5*k + 4 = -4*c, -4*k = -5*c - 2*k - 22. Let s be (c/7)/(-2) + 10/(-56). Factor 1/4*q**3 + 1/4*q**2 - s*q + 0 - 1/4*q**4.
-q*(q - 1)**2*(q + 1)/4
Let l(p) be the first derivative of 15*p**4/4 - 7*p**3 - 12*p**2 + 12*p + 155. Factor l(o).
3*(o - 2)*(o + 1)*(5*o - 2)
Let l(p) = p**2 + 3*p - 2. Let c(b) = -27*b**2 + 15*b**2 + 1 + 14*b**2 + 3*b - 3. Let n(w) = 2*c(w) - 3*l(w). Find z such that n(z) = 0.
1, 2
Let a(g) be the first derivative of 33 + 1/5*g**3 + 18/5*g + 21/10*g**2. Factor a(w).
3*(w + 1)*(w + 6)/5
Suppose 2*v = -3*v. Determine z, given that z**2 + v*z**2 + 15*z**5 - 2*z**2 + z**3 - 16*z**5 + z**4 = 0.
-1, 0, 1
Let d(k) be the first derivative of -k**5/120 - 9*k - 4. Let y(o) be the first derivative of d(o). Suppose y(l) = 0. What is l?
0
Let w(c) be the second derivative of 0 + 3*c**2 + 25*c - 10/3*c**3 + 1/2*c**4. Factor w(t).
2*(t - 3)*(3*t - 1)
Let l be 5*(-1)/4*-4. Determine r, given that -1 + 0 + 2 + 4 - l*r**2 = 0.
-1, 1
Let w(n) be the second derivative of n**4/9 + 26*n**3/9 + 80*n**2/3 + 60*n - 1. Factor w(m).
4*(m + 5)*(m + 8)/3
Let m = 2233 + -2231. Let q(v) be the second derivative of 2/15*v**6 + 0 + 1/5*v**5 + 0*v**m - 2/3*v**3 - 1/3*v**4 - 6*v. Find c such that q(c) = 0.
-1, 0, 1
Factor -3/4*s**3 + 0 + 9/4*s**2 + 3*s.
-3*s*(s - 4)*(s + 1)/4
Let x = 9 + -15. Let a(w) = 8*w**5 - 16*w**4 + 2*w**3 - 2. Let n(q) = 9*q**5 - 17*q**4 + q**3 - 3. Let s(o) = x*a(o) + 4*n(o). Solve s(l) = 0.
0, 1/3, 2
Suppose 5 - 15 = 5*m. Let g(h) = h**4 + 3*h**3 - h**2 - h. Let l(t) = -t**3 - t**2 + 1. Let u(k) = m*l(k) - g(k). What is z in u(z) = 0?
-2, -1, 1
Let s(h) be the first derivative of h**7/280 - h**6/120 - 11*h**3/3 + 1. Let d(p) be the third derivative of s(p). Solve d(k) = 0.
0, 1
Suppose -14*b = 5*s - 19*b + 10, 4*s - 5*b + 13 = 0. Let t(z) be the third derivative of 0*z + 1/6*z**4 + 0 + 4*z**2 - 1/30*z**5 - 1/3*z**s. Factor t(u).
-2*(u - 1)**2
Factor -2/17 - 2/17*c + 2/17*c**2 + 2/17*c**3.
2*(c - 1)*(c + 1)**2/17
Find d such that 0*d + 0 + 0*d**2 + d**3 + 1/8*d**4 = 0.
-8, 0
Let s be ((-2)/(-8)*0)/2. Suppose s = 6*o + 5 - 23. Find r such that 3*r**4 - 5*r**4 - r**3 - r**o = 0.
-1, 0
Let c(x) be the second derivative of 5*x**5/4 - 85*x**4/12 + 40*x**3/3 - 10*x**2 - 2*x + 77. Factor c(h).
5*(h - 2)*(h - 1)*(5*h - 2)
Let d(n) = -76*n**4 - 76*n**3 + 352*n**2 + 560*n - 32. Let w(t) = 7*t**4 + 7*t**3 - 32*t**2 - 51*t + 3. Let f(v) = 3*d(v) + 32*w(v). Factor f(z).
-4*z*(z - 3)*(z + 2)**2
Let g(c) = 6*c**2 - 22*c + 4. Let j be g(0). Let p(x) be the first derivative of 1/8*x**2 + 10 + 0*x**3 + 0*x - 1/16*x**j. Suppose p(f) = 0. What is f?
-1, 0, 1
Let o(w) = -w**3 + w**2. Let m(t) = 4*t**4 + 18*t**3 + 22*t**2 + 16*t + 4. Let v(f) = -5*f + 28. Let b be v(6). Let d(i) = b*o(i) - m(i). Factor d(g).
-4*(g + 1)**4
Suppose 3*q + 9 = 0, -39 - 173 = -5*k - q. Suppose 11*u - 12 = k. Factor 3/4*b**2 - 3/4*b**4 - 1/2*b + 1/4*b**u + 1/4*b**3 + 0.
b*(b - 2)*(b - 1)**2*(b + 1)/4
Let r(t) = 5*t**2 - 3*t + 3. Let a be r(2). Suppose 0 = 8*x - a - 31. Let -x*h**2 + 3*h**3 - 3/4 + 15/4*h = 0. Calculate h.
1/2, 1
Let h = -2195 + 37330/17. Let m = h + -131/187. Factor 2/11*z**4 - 2/11*z**2 + 2/11*z**3 - m*z + 0.
2*z*(z - 1)*(z + 1)**2/11
Let n(w) be the first derivative of -2/69*w**3 - 288/23*w + 16 - 24/23*w**2. Factor n(y).
-2*(y + 12)**2/23
Let k(g) be the third derivative of 0 - 7/4*g**4 + 0*g - 13*g**2 + 49/2*g**3 + 1/20*g**5. Factor k(i).
3*(i - 7)**2
Let j(r) be the second derivative of -r**7/210 + 11*r**6/75 - 2*r**5/5 - 212*r**4/15 - 1064*r**3/15 - 784*r**2/5 - 5*r + 12. Factor j(w).
-(w - 14)**2*(w + 2)**3/5
Let o(p) = -2*p**3 - 16*p**2 + 9*p + 19. Let v(j) = -j**3 - j**2 - j + 1. Let s(k) = o(k) - 3*v(k). Let b be s(12). Solve b - 16 - 3*i**4 = 0 for i.
0
Let p = -143/81 + 152/81. Factor 0 - p*a**2 - 4/9*a.
-a*(a + 4)/9
Let o(w) be the second derivative of -w**5/15 - 2*w**4/3 + 32*w**3/9 + 89*w + 2. Factor o(b).
-4*b*(b - 2)*(b + 8)/3
Suppose -5*s + 3 = -u, 4*u + 6*s - 8*s - 6 = 0. Let l(h) be the first derivative of -2/33*h**3 + 1 - 8/11*h + 4/11*h**u. Factor l(y).
-2*(y - 2)**2/11
Let z(w) be the third derivative of -1/20*w**5 - 1/4*w**4 + 0*w + 0 + 0*w**3 - 1/14*w**7 + 1/5*w**6 + 8*w**2. Determine t so that z(t) = 0.
-2/5, 0, 1
Factor -3/2*w**4 + 0*w**2 + 3/4*w**5 + 0*w + 0 - 9/4*w**3.
3*w**3*(w - 3)*(w + 1)/4
Let q(o) be the first derivative of 2/3*o**2 + 1/9*o**3 + 0*o + 5. What is t in q(t) = 0?
-4, 0
Let g be 5*1*(96/15)/(-8). Let y be g - (1/(-2))/(8/96). Factor -2/3*a**y - 1/3*a - 1/3*a**3 + 0.
-a*(a + 1)**2/3
Factor -12*t**4 - 496*t**2 - t**5 - 36*t - 402*t**3 - 162 - 405*t + 80*t**2 - 10*t**4 + 244*t**3.
-(t + 1)**2*(t + 2)*(t + 9)**2
Suppose 0 = -5*b + 2 + 3, 3*z + 5*b - 14 = 0. Factor -122 - 126 + 248 + h - h**z.
-h*(h - 1)*(h + 1)
Determine d so that 1/9*d**2 + 0 + 4/9*d = 0.
-4, 0
Let j(k) be the second derivative of -10*k + 0*k**2 - 3/20*k**5 + 0 + 0*k**4 + 1/2*k**3. Factor j(s).
-3*s*(s - 1)*(s + 1)
Factor 72/7 + 2/7*r**2 + 24/7*r.
2*(r + 6)**2/7
Let f(b) = b**2 - 14*b - 28. Let o be f(-2). Let l(w) be the second derivative of 3/5*w**o - 9/10*w**3 + 0 + 3/5*w**2 + 2*w - 3/20*w**5. Factor l(n).
-3*(n - 1)**2*(5*n - 2)/5
Let t(d) = d**3 - 1. Let w(y) = -24*y**3 + 70*y**2 - 44*y + 7. Let p(u) = u**3 + 16*u**2 + 15*u - 1. Let c be p(-15). Let b(h) = c*w(h) + t(h). Factor b(r).
(r - 2)*(5*r - 2)**2
Let l(q) = -q**3 +