 - 32 - 10*t = 0?
-4, -2, 1
Let t(b) be the second derivative of 4*b**6/255 + 4*b**5/85 - 11*b**4/102 - 11*b**3/17 - 18*b**2/17 - 70*b. Determine c, given that t(c) = 0.
-3/2, -1, 2
Let p(x) be the third derivative of -5/6*x**3 - 1/12*x**5 + 0 - 5/12*x**4 + 0*x + 15*x**2. Suppose p(t) = 0. What is t?
-1
Let s be ((-225)/10)/9*-8. Suppose s = 11*r - 2. Factor 0 + 6*w - 3/2*w**3 + 0*w**r.
-3*w*(w - 2)*(w + 2)/2
Let x = -7325/3 - -2442. Factor -1/3*i**3 + 2/3*i + x*i**2 + 0.
-i*(i - 2)*(i + 1)/3
Let d(z) be the first derivative of z**3/9 - 10*z**2/3 - 44*z/3 - 358. Suppose d(o) = 0. What is o?
-2, 22
Factor -713*n + 232*n**2 + 713*n + 4*n**3.
4*n**2*(n + 58)
Let s(h) = -16*h**3 + h**2 + 2*h - 3. Let o(i) = -50*i**3 + 5*i**2 + 5*i - 10. Let a(u) = 3*o(u) - 10*s(u). Factor a(m).
5*m*(m + 1)*(2*m - 1)
Let j(q) = -7*q + 46. Let y be j(6). Let g(l) be the first derivative of -15/2*l**y - 15/2*l**2 - 3*l - 3*l**5 - 6 - 1/2*l**6 - 10*l**3. Factor g(z).
-3*(z + 1)**5
Let d be (-10)/30 + 14/6. Determine m, given that -m**3 - 25*m + 20*m**d - 4*m**3 + 13 - 3 + 0*m**3 = 0.
1, 2
Let o = -44 + 47. Factor -5*d**3 - 1 - 2*d**5 + 4*d**2 - o + 13*d**3 - 6*d.
-2*(d - 2)*(d - 1)*(d + 1)**3
Let f(y) = y**3 + y**2 + 1. Let r = -19 + 17. Let l(c) = 3*c**3 + 5*c**2 + 3*c + 3. Let g(j) = r*f(j) + l(j). Factor g(p).
(p + 1)**3
Suppose 0 = -176*c + 172*c + 8. Let w(r) be the second derivative of 7*r - 4/3*r**3 + 0*r**4 + 2/5*r**5 + 2/15*r**6 - c*r**2 + 0. Factor w(u).
4*(u - 1)*(u + 1)**3
Solve 0 - p**2 + 0 - 18*p + 0 + 2*p = 0 for p.
-16, 0
Let b(l) = 7*l**2 + 37*l + 30. Suppose 7*v + 2 = 8*v. Let c(x) = -15*x**2 - 75*x - 60. Let z(d) = v*c(d) + 5*b(d). Factor z(u).
5*(u + 1)*(u + 6)
Let s be (3/12)/(0 - (-15)/(-5180)). Let q = 87 + s. Factor 2/9*l**2 - q - 4/9*l.
2*(l - 3)*(l + 1)/9
Let r = 10671 + -10671. Let c = 1 - 1. Factor -2/7*x + 0*x**4 + r + c*x**2 - 2/7*x**5 + 4/7*x**3.
-2*x*(x - 1)**2*(x + 1)**2/7
Let s(r) = r + 16. Let z be s(-16). Let a(h) = -h**3 - h + 3. Let b be a(z). Factor 15*m**4 + 16*m**b - 9*m**4 + 4*m**5 + 10*m**4.
4*m**3*(m + 2)**2
Let k(u) be the second derivative of -u**6/1260 - u**5/140 - u**4/42 + 10*u**3/3 + 16*u. Let m(q) be the second derivative of k(q). Factor m(a).
-2*(a + 1)*(a + 2)/7
Let c(s) be the second derivative of s**4/12 - 2*s**3/3 + 3*s**2/2 + 16*s. Find v, given that c(v) = 0.
1, 3
Let y(o) = -11*o + 58. Let a be y(5). Let p(d) be the first derivative of 2/27*d**a + 5 + 0*d + 1/9*d**2. Suppose p(v) = 0. What is v?
-1, 0
Let q(u) be the third derivative of -u**7/105 - 77*u**6/50 - 1794*u**5/25 - 1058*u**4/15 - 464*u**2 + u. Find c such that q(c) = 0.
-46, -2/5, 0
Let b(s) = 2*s**2 + 0*s**2 - s**2. Let j(h) = -6*h**2 - 4. Let u(x) = -35*b(x) - 5*j(x). Suppose u(t) = 0. What is t?
-2, 2
Suppose 32 = 2*a - 4. Suppose -3*j + a = 2*v, 21 = 3*v - 2*j + 5*j. Factor -2*g**v + 2*g**3 + 2*g**3 + 2*g**2.
2*g**2*(g + 1)
Let h(u) = -2*u**3 + 23*u**2 - 20*u + 5. Let y(n) = -n**3 + 12*n**2 - 8*n + 2. Let p(b) = -4*h(b) + 10*y(b). Solve p(k) = 0.
0, 14
Suppose o + 4*b = -o, o - 4*b - 12 = 0. Suppose -o*q - 37 = -53. Find y such that 4*y**5 + 11*y**2 - 3*y**2 + 8*y**q - 6*y**5 + 0*y**4 - 12*y**3 - 2*y = 0.
0, 1
Let w(k) = -k**4 + 14*k**3 + 2*k**2 - 2*k. Let f = 21 - 24. Let s(u) = 15*u**3 + 3*u**2 - 3*u. Let d(o) = f*w(o) + 2*s(o). Factor d(i).
3*i**3*(i - 4)
Let g be 1 - (3 - (1 - 1)). Let y = 0 - g. Determine k, given that y*k**2 - 4*k - k**2 + 2 + k**2 = 0.
1
Factor 78*u**2 + 6*u**4 - 33*u**3 - 20161*u - 3*u**4 + 20113*u.
3*u*(u - 8)*(u - 2)*(u - 1)
Let v(u) be the third derivative of -u**5/60 + u**3/6 + 4*u**2. Let p be v(1). Find f, given that p + 0*f + 2/7*f**3 + 0*f**2 + 2/7*f**4 = 0.
-1, 0
Let w(k) = -k**3 + 13*k**2 + 14*k + 6. Let j be w(14). Factor u**2 - 10*u + 3*u**2 + 2*u**3 - 4*u**4 + j*u**3 + 2*u.
-4*u*(u - 2)*(u - 1)*(u + 1)
Let b(y) be the third derivative of -14*y**2 + 1/24*y**4 - 1/60*y**6 - 1/6*y**3 + 0*y + 1/30*y**5 + 0 + 1/336*y**8 - 1/210*y**7. Suppose b(q) = 0. What is q?
-1, 1
Let g(x) = 23*x**2 - 215*x - 61. Let i(z) = 45*z**2 - 430*z - 120. Let d(y) = -5*g(y) + 3*i(y). Solve d(w) = 0.
-1/4, 11
Let a(m) be the first derivative of m**6/3 - 4*m**5/5 - m**4/2 + 4*m**3/3 - 192. Factor a(x).
2*x**2*(x - 2)*(x - 1)*(x + 1)
Let h = -301 + 523. Suppose -2*s = -4*o + 282, -3*o + 0*o = 2*s - h. Determine u, given that -14*u**3 - 3 - 9*u**2 - 13 - 56*u**2 - o*u + 5*u**2 = 0.
-2, -2/7
Suppose -8 = -2*x - 5*z, 5*x - 4*z - 15 = 5. Suppose 0*d + 1 = -d - 5*k, -x*k - 26 = -d. Factor -d*p**2 + 7*p**2 + 5*p**2.
-2*p**2
Let f(k) = -20*k**2 - 111*k + 109. Let v(h) = 14*h - 10*h + 18*h - 22 - 119*h**2 + 123*h**2. Let w(q) = -2*f(q) - 11*v(q). Factor w(n).
-4*(n - 1)*(n + 6)
Let b(r) = -2*r - 4. Let k(q) = -q + 5. Let j be k(8). Let f be b(j). Solve -13*h**5 - 2*h + 8*h + 6*h**4 - 2 - 4*h**3 - 4*h**f + 11*h**5 = 0 for h.
-1, 1
Suppose 104*u = 60 + 252. Let -3/2*h**5 - 18*h**u - 15*h**2 + 0 - 9/2*h - 9*h**4 = 0. Calculate h.
-3, -1, 0
Solve -4/7*z**2 - 112 - 16*z = 0.
-14
Let v = -16 + 19. Factor -8 + 5 - 3*f**v + 3*f**2 + 3.
-3*f**2*(f - 1)
Let r be 68/11 - 18/99. Let t = 8 - r. Solve 3*g**t + 2*g**2 + 6*g - 8*g**2 = 0 for g.
0, 2
Let a(f) = -f**5 + f**4 + f**3 - f - 1. Let c(h) = 4*h**5 + 2*h**4 - 2*h**3 - 4*h**2 + 2. Let m(x) = -2*a(x) - c(x). Determine g, given that m(g) = 0.
-1, 0, 1
Suppose -4*q - 8 = 0, 14 = -4*r + 5*r + 2*q. Suppose -p + f = -0*p - r, 3*f - 60 = -3*p. Factor -15*z**3 - p*z**3 + 38*z**3.
4*z**3
Let a(p) = p**3 - p**2 - 2*p + 3. Let w be 10/6 + 5/15. Let l be a(w). Find r, given that 80 - l*r - 9*r + 5*r**2 - 6*r - 22*r = 0.
4
Let v(j) be the first derivative of -j**5/10 - j**4 - j**3 + 18*j**2 + 135*j/2 - 87. Factor v(q).
-(q - 3)*(q + 3)**2*(q + 5)/2
Let g = 1 - 6. Let f = 1 - g. Factor -2*r**4 + 4 - f - 4*r**3 - 2*r**4 + 4*r + 6*r**4.
2*(r - 1)**3*(r + 1)
Let w(c) = -c**3 + 6*c**2 + c + 2. Let z be w(6). Let u(y) = -y + 26. Let q be u(23). Factor 5*h - 2*h - z*h**2 + 3*h**3 + 2*h**2 + 0*h**q.
3*h*(h - 1)**2
Let f(c) be the third derivative of c**9/40320 - c**8/13440 - c**5/20 + 3*c**2. Let l(x) be the third derivative of f(x). Factor l(y).
3*y**2*(y - 1)/2
Suppose 4 = -2*f + 4*f. Factor 4/9 - 22/9*m + f*m**2.
2*(m - 1)*(9*m - 2)/9
Factor 1/4*n**5 + 0 + 0*n**2 + 0*n + 1/2*n**3 - 3/4*n**4.
n**3*(n - 2)*(n - 1)/4
Let b(m) be the third derivative of -10*m**4 + 0*m + 160/3*m**3 - 1/24*m**6 + m**5 - 7*m**2 + 0. Find x such that b(x) = 0.
4
Let x(j) = 16*j + 24. Let f be x(0). Let b(s) = s**5 - s**4 - s. Let p(y) = 7*y**5 - 9*y**4 - 8*y. Let o(a) = f*b(a) - 3*p(a). Factor o(r).
3*r**4*(r + 1)
Let o = 6896 - 6891. Solve -5/4*m**3 - 5*m**2 + 0 - o*m = 0 for m.
-2, 0
Let c(v) = -2*v - 24. Let p be c(-13). Determine d, given that 2*d - 6*d**4 + d**3 + d**2 - 5*d**3 + 2*d + 5*d**p = 0.
-1, -2/3, 0, 1
Suppose -12*r + 13*r - 4 = 0. What is a in 4*a**2 - 5*a**5 + r*a**5 - a**4 + a**3 + 0*a**3 - 3*a**2 = 0?
-1, 0, 1
Let t(w) be the second derivative of w**5/150 + w**4/10 - w**3/45 - 3*w**2/5 - 2*w - 49. Let t(d) = 0. What is d?
-9, -1, 1
Let z(k) = -5*k**3 - 26*k**2 + 35*k + 68. Let o be z(-6). Factor 2/9*i**o + 0*i - 8/9.
2*(i - 2)*(i + 2)/9
Let z be 12/(-4) + 3 + 2. Factor -d**2 + 6*d**3 + 4*d**z + 3*d**2 - 3*d**4 + 7 - 3*d - 10 - 3*d**5.
-3*(d - 1)**2*(d + 1)**3
Factor -1491*o**2 + 36*o - 3*o**3 + 48*o - 7*o**3 + 1285*o**2.
-2*o*(o + 21)*(5*o - 2)
Suppose 6*m = 4*m + 22. Suppose 5*n = 2*v + m + 5, -5*v + 10 = 0. Factor 7*i**4 + 16*i**5 - 6*i**3 - 19*i**5 + 5*i**4 - 3*i**n.
-3*i**3*(i - 2)*(i - 1)
Let i(t) be the first derivative of -t**5/10 - 5*t**4/8 - 2*t**3/3 - 81. Suppose i(b) = 0. What is b?
-4, -1, 0
Let u(d) be the second derivative of d**3 + 0*d**4 - 3/10*d**5 + 0 - 3/2*d**2 + 1/10*d**6 - 3*d. Let u(a) = 0. Calculate a.
-1, 1
Let i(h) be the second derivative of -h**6/75 + h**5/10 - h**4/15 - 4*h**3/3 + 24*h**2/5 - 3*h - 14. Solve i(d) = 0.
-2, 2, 3
Let k(w) = 21*w**2 + 5*w + 34. Let g(y) = 2*y**2 - y + 7. Let d(a) = -15*g(a) + 3*k(a). Factor d(j).
3*(j + 1)*(11*j - 1)
Suppose 0 = a - 2*k + 5 - 3, 5*a = -k - 32. Let p be 4/a + (-12)/(-9). Suppose -1/3 - p*j - 1/3*j**2 = 0. Calculate j.
-1
Let s be 260/143 + 26/143. Solve 2/7*m**s + 2/7*m + 0 = 0 for m.
-1, 0
Suppose 17 = b + k + 2*k, 3*k = b + 7. Suppose -11 = -b*m + 