cond derivative of u**4/28 + 10*u**3/7 - 9*u**2/2 + 78*u. Factor q(a).
3*(a - 1)*(a + 21)/7
Suppose 8 = -2*l - 16. Let r be ((-6)/l)/((-1)/(-8)). Let 6/7*w**2 - 6/7*w**r - 2/7*w + 2/7*w**3 + 0 = 0. Calculate w.
-1, 0, 1/3, 1
Let h(j) = 8*j**3 - 11*j**2 - 8*j - 9. Suppose 25 = -6*t + t - c, 3*c = 0. Let x(v) = -12*v**3 + 16*v**2 + 13*v + 13. Let i(k) = t*x(k) - 7*h(k). Factor i(q).
(q - 2)*(q + 1)*(4*q + 1)
Let s(z) = -z**3 - z + 2. Let b be s(0). Factor 12*u**2 + 22*u**b - 11*u**2 + 20*u + 10*u**3 + 12*u**2 - 20.
5*(u + 2)**2*(2*u - 1)
Let d(y) be the third derivative of -y**6/24 - y**5/3 + 25*y**4/24 - 246*y**2. Factor d(m).
-5*m*(m - 1)*(m + 5)
Factor 316*h**2 - 169*h**3 + 101 + 84*h**3 + 211 - 10*h**2 + 621*h + 82*h**3.
-3*(h - 104)*(h + 1)**2
Let o be (-268)/(-240) - -6*3/(-27). Let r(l) be the second derivative of -7/30*l**6 + 2*l + 0 + 0*l**2 + l**4 - o*l**5 + 2/3*l**3. Factor r(z).
-z*(z - 1)*(z + 2)*(7*z + 2)
Suppose -1 = 5*v - 4*l, 0*l = 4*l - 16. Factor -24*o**4 - 8 + 56*o**v - 64*o**2 - 42*o**5 + 46*o**5 + 41*o - 5*o.
4*(o - 2)*(o - 1)**4
Let n be (-5)/(-3)*6/11. Let p = 8419/46002 + -5/4182. Determine m, given that 6/11*m + 2/11*m**4 + 0 + p*m**3 - n*m**2 = 0.
-3, 0, 1
What is q in 0*q - 26/19*q**2 - 2/19*q**3 + 0 = 0?
-13, 0
Let i(m) = -11*m**5 - 9*m**4 + 23*m**3 + 29*m**2 + 8*m. Let w(g) = -g**5 - g**4 + g + 1. Let v be 3/((-45)/(-10))*3/2. Let q(k) = v*i(k) - 4*w(k). Factor q(o).
-(o - 2)*(o + 1)**3*(7*o - 2)
Factor 22 + 14 + 138*o + 36 - 6*o**2 - 24*o - 15*o**2.
-3*(o - 6)*(7*o + 4)
Let v(c) = 9*c + 72. Let u be v(-8). Let b(q) be the first derivative of 2 - 2/5*q**5 + 0*q + u*q**2 + 0*q**4 + 2/3*q**3. What is r in b(r) = 0?
-1, 0, 1
Let d(l) = -11*l**4 - 11*l**2 - 38*l - 24. Let i(n) = -8*n**4 + n**3 - 10*n**2 - 37*n - 24. Let q(g) = 3*d(g) - 4*i(g). Find t such that q(t) = 0.
-4, -2, -1, 3
Let s(x) be the first derivative of -x**4/20 - 3*x**3/5 - 28. Factor s(o).
-o**2*(o + 9)/5
Let h(j) = j**3 + 5*j**2 + 2*j - 1. Let v be h(-3). Suppose -v + 11 = 2*s. Factor -2/3*x + s + 2/3*x**2.
2*x*(x - 1)/3
Let j = -21 - -24. Factor -j*l**2 + 5*l**2 - 4*l + 12*l - 4*l**2 - 6.
-2*(l - 3)*(l - 1)
Solve -1/2*w + 1/2*w**2 - 3 = 0.
-2, 3
Let j(u) be the third derivative of 0*u**3 - 1/4*u**5 + 3 + 5/12*u**4 + 0*u + 1/24*u**6 - 13*u**2. Factor j(i).
5*i*(i - 2)*(i - 1)
Factor 36*x**3 + 14*x**2 - 40*x**3 - 6*x**4 - 12*x**2.
-2*x**2*(x + 1)*(3*x - 1)
Let f(x) be the second derivative of -x**7/420 + 19*x**3/6 + 9*x. Let m(s) be the second derivative of f(s). Factor m(o).
-2*o**3
Let h be (-46)/46 - 19/(-18). Let p(j) be the second derivative of -j + 0 + 5/36*j**3 + 1/120*j**5 + h*j**4 + 1/6*j**2. Factor p(r).
(r + 1)**2*(r + 2)/6
Find j, given that -20 - 1155*j**3 - 5*j**4 + 25*j**2 + 1155*j**3 = 0.
-2, -1, 1, 2
Let r(m) be the third derivative of m**8/1008 - 13*m**7/630 + 17*m**6/180 + 31*m**5/90 - 35*m**4/72 - 49*m**3/18 + 311*m**2. What is k in r(k) = 0?
-1, 1, 7
Let s(v) = v**4 - v**3 + v - 1. Let n = -3 - 15. Let r(c) = 15*c**4 - 18*c**3 + 15*c**2 + 18*c - 30. Let k(y) = n*s(y) + r(y). Determine f so that k(f) = 0.
-2, -1, 1, 2
Let v(u) = 4*u**2 + 4. Let i be v(3). Factor 1 - 200*r**3 + i*r + 19 - 175*r**3 - 175*r**2.
-5*(3*r - 1)*(5*r + 2)**2
Let f = -8 + 14. Let l(b) = 2*b - 10. Let z be l(f). Factor 13*x**3 + 9*x**4 - 7*x**2 + z*x - 13*x**4 - 4*x**2.
-x*(x - 2)*(x - 1)*(4*x - 1)
Let i(q) be the first derivative of 0*q + 3/4*q**4 + 0*q**2 - q**3 - 1/2*q**6 + 9 + 3/5*q**5. Factor i(v).
-3*v**2*(v - 1)**2*(v + 1)
Let z = -51844/5 + 10369. Suppose z*d**2 + 0 + 1/5*d = 0. What is d?
-1, 0
Let o = -1979/2 + 992. Let y(q) be the first derivative of 0*q + 12 + 3/5*q**4 + 0*q**2 + 0*q**3 + o*q**6 - 12/5*q**5. Let y(k) = 0. What is k?
0, 2/5
Let i(k) be the third derivative of k**7/105 - k**6/40 - k**5/20 + k**4/12 + 2*k**2 - 66. Suppose i(c) = 0. What is c?
-1, 0, 1/2, 2
Suppose -4 = l - 4*c - 24, 4*l + 3*c = -15. Suppose 0 = -5*k - 2*p + 81, l = 7*k - 3*k - 5*p - 45. Factor -21/2*d**2 - 9/4*d**3 - k*d - 6.
-3*(d + 2)**2*(3*d + 2)/4
Let w(l) be the third derivative of 0*l - 1/2100*l**7 + 7/1200*l**6 - 11/600*l**5 + 0*l**3 + 0 + 1/48*l**4 + 5*l**2. Factor w(n).
-n*(n - 5)*(n - 1)**2/10
Suppose -x = 2*t - 61, 0*x - 2*t = -2*x + 98. Solve -x*j - j**2 + 5*j - 192 - j**2 - j**2 = 0 for j.
-8
Let a(r) = 35*r**4 - 78*r**3 - 167*r**2 - 41*r - 13. Let g(q) = 6*q**4 - 13*q**3 - 28*q**2 - 7*q - 2. Let u(n) = -6*a(n) + 39*g(n). Factor u(m).
3*m*(m - 3)*(m + 1)*(8*m + 3)
Suppose 0*x + 56 = 4*x. Let d be ((-16)/28)/((-4)/x). Let c**d + 4*c**3 + c**4 + 0*c**3 - 6*c**3 = 0. Calculate c.
0, 1
Let z(r) = 680*r - 5440. Let t be z(8). Factor t + 2/3*f**2 - 2*f.
2*f*(f - 3)/3
Let x(s) be the first derivative of 2*s**3/21 - 3*s**2/7 + 4*s/7 - 2. Factor x(d).
2*(d - 2)*(d - 1)/7
Let t(a) be the first derivative of 3*a**5/5 - 3*a**4 - 11*a**3 - 9*a**2 - 715. Let t(d) = 0. What is d?
-1, 0, 6
Let s = 15591/4 + -3897. Let 3*o**2 + s*o**3 - 9/4*o - 27/2 = 0. What is o?
-3, 2
Let o be ((-23976)/(-315))/(-2 - 16/(-7)). Let d = -266 + o. Find q, given that 6/5*q + 2/5*q**3 + 6/5*q**2 + d = 0.
-1
Factor -6*u**3 - 22/9*u**4 - 2/9*u**5 - 50/9*u**2 - 16/9*u + 0.
-2*u*(u + 1)**3*(u + 8)/9
Factor -8/3*p + 1/3*p**2 + 7/3.
(p - 7)*(p - 1)/3
Let y(p) be the third derivative of p**8/1512 - 16*p**7/945 + 7*p**6/60 + 8*p**5/135 - 16*p**4/27 + 3*p**2 - 6. Suppose y(f) = 0. What is f?
-1, 0, 1, 8
Let v = 96 + -84. Factor -v*a**2 - 2*a**3 - 50 - 26*a - 10*a**2 - 44*a.
-2*(a + 1)*(a + 5)**2
Let b(i) = -i - 16. Let t be b(-18). Let y = 430 + -5588/13. Solve y*l**3 - 8/13 + 0*l + 6/13*l**t = 0.
-2, 1
Let p(v) be the third derivative of -v**5/90 + 7*v**4/9 + 92*v**2. Factor p(q).
-2*q*(q - 28)/3
Suppose 123*j - 119*j = -24. Let p be j + 168/27 - 26/(-126). Factor 3/7*d**2 - 3/7 + p*d**3 - 3/7*d.
3*(d - 1)*(d + 1)**2/7
Let l = -145 + 115. Let k be ((-7)/l + 8/(-20))*-32. Determine j, given that 1/3*j**2 + k + 8/3*j = 0.
-4
Let h(g) be the third derivative of -g**8/784 - g**7/35 - 39*g**6/140 - 54*g**5/35 - 297*g**4/56 - 81*g**3/7 - 242*g**2. Factor h(o).
-3*(o + 2)*(o + 3)**4/7
Let i(q) be the second derivative of -q**7/21 + 2*q**6/5 - 9*q**5/10 + 2*q**4/3 + 19*q. Determine l so that i(l) = 0.
0, 1, 4
Let v(u) = 2*u**4 - 6*u**3 - 12*u**2 - 8*u. Let b be -4 + 8 + 2 + -4. Let p(c) = -4*c**4 + 13*c**3 + 23*c**2 + 16*c. Let z(m) = b*p(m) + 5*v(m). Factor z(w).
2*w*(w - 4)*(w + 1)**2
Let c(j) = 13*j**4 - 2*j**3 + j**2. Let m(y) = -24*y**4 + 4*y**3 - y**2 - y. Let b(g) = -11*c(g) - 6*m(g). Determine w so that b(w) = 0.
-2, 0, 1, 3
Factor -27/2 + 3/2*z**2 - 12*z.
3*(z - 9)*(z + 1)/2
Let i(v) = -v**3 + 9*v**2 + v + 11. Let d be i(9). Let a be (15/d)/((-6)/(-2)). Let 0*n**2 + 0*n + a*n**3 + 0 + 1/4*n**5 - 1/2*n**4 = 0. Calculate n.
0, 1
Let x(m) be the second derivative of -m**8/336 - m**7/35 - 11*m**6/120 - m**5/10 + 11*m**2/2 + 6*m. Let f(v) be the first derivative of x(v). Solve f(z) = 0.
-3, -2, -1, 0
Let o = 50 + -47. Suppose 35*f = 2*f + 66. Solve 0 + 0*a**o - 2/5*a + 4/5*a**f + 2/5*a**5 - 4/5*a**4 = 0.
-1, 0, 1
Let x(w) be the second derivative of -w**4/42 + 40*w**3/21 - 30*w. Suppose x(u) = 0. What is u?
0, 40
Let g be 28/(-98) - (-11603)/(-231). Let h = -151/3 - g. Factor 8/11*f**2 - h + 6/11*f.
2*(f + 1)*(4*f - 1)/11
Let b be 3*(-2)/12*0/1. Let o(m) be the third derivative of -8*m**2 + b*m - 1/48*m**4 + 0*m**6 - 1/80*m**5 + 0*m**3 + 1/840*m**7 + 0. Factor o(h).
h*(h - 2)*(h + 1)**2/4
Let j be ((-34)/51)/(1 + 8/(-6)). Let g = 1 - 3/4. Solve -1/4*z**j - 1/2*z - g = 0.
-1
Factor -1296/7 - 72/7*l - 1/7*l**2.
-(l + 36)**2/7
Let m be (14/84)/(30/(-40)) + 16/45. Determine u, given that 2/15 + m*u**2 + 4/15*u = 0.
-1
Suppose -y + h + 18 = 3*y, 4*y - 26 = 5*h. Determine a, given that 0*a**y + 3*a**4 + 3*a**2 + 6*a**2 - 3*a**2 + 9*a**3 = 0.
-2, -1, 0
Let y(b) be the first derivative of 5/2*b**2 - 15 - 25/2*b - 1/6*b**3. Solve y(t) = 0 for t.
5
Let w = -6881 + 6883. Factor 96/5*c**w + 0 - 16/5*c - 196/5*c**4 - 84/5*c**3.
-4*c*(c + 1)*(7*c - 2)**2/5
Let m(s) be the third derivative of -s**8/84 - 2*s**7/35 + s**6/30 + 7*s**5/15 - 8*s**3/3 - 9*s**2. Solve m(f) = 0.
-2, -1, 1
Let s(p) = 3*p**3 - 12*p**2 + 13*p - 6. Let g(m) = 39*m**3 - 156*m**2 + 168*m - 78. Let l = 20 + 32. Let t = 25 - l. Let j(f) = t*s(