*j - 7. Let x(u) = 7*u**3 + 16*u**2 + 9*u - 4. Let d(g) = -4*k(g) + 7*x(g). Factor d(r).
-3*r*(r + 1)*(r + 3)
Let g(s) = -2*s**2 - 12*s - 8. Let w be g(-5). Factor -11*r**2 + r**w + 2*r + 8*r**2.
-2*r*(r - 1)
Let r(w) be the second derivative of -w**5/5 + 22*w**4/3 - 2*w + 2. Find f such that r(f) = 0.
0, 22
Let i(m) be the third derivative of -m**10/378000 + m**8/16800 + m**7/6300 - 3*m**5/10 + 14*m**2. Let h(n) be the third derivative of i(n). Factor h(x).
-2*x*(x - 2)*(x + 1)**2/5
Let h(t) be the third derivative of -t**7/42 + 5*t**6/12 + 4*t**5/3 - 145*t**4/12 + 55*t**3/2 - 310*t**2. Factor h(n).
-5*(n - 11)*(n - 1)**2*(n + 3)
Let a(k) be the first derivative of 0*k - 1/48*k**6 + 0*k**5 - 1/16*k**2 - 5 + 0*k**3 + 1/16*k**4. Factor a(u).
-u*(u - 1)**2*(u + 1)**2/8
Factor -6/5*l + 6/5*l**3 + 9/5 - 1/5*l**4 - 8/5*l**2.
-(l - 3)**2*(l - 1)*(l + 1)/5
Let x = -5103/2 + 9569/4. Let r = -158 - x. Factor -1/2*l + 0 + r*l**2.
l*(5*l - 2)/4
Suppose -3 = -3*v - 27. Let f(s) = 14*s**3 - 30*s**2 + 40*s - 16. Let c(y) = 9*y**3 - 20*y**2 + 27*y - 11. Let m(q) = v*c(q) + 5*f(q). Factor m(d).
-2*(d - 2)**2*(d - 1)
Solve 2*v + 605*v**3 + 25 - 625*v**3 + 18*v - 30*v**2 + 0*v + 5*v**4 = 0 for v.
-1, 1, 5
Let v(j) be the first derivative of 0*j + 2/39*j**3 - 1/13*j**2 - 4 + 1/26*j**4 - 2/65*j**5. Let v(h) = 0. What is h?
-1, 0, 1
Suppose -16 = -l - 4*s, -2*s + 22 = 4*l - 0*s. Find v such that -174*v**4 - 51*v**l + 101*v**5 + 24*v**5 + 120*v**3 - 20*v**2 = 0.
0, 2/5, 1
Let l(o) be the second derivative of -o**6/180 - o**5/10 - 68*o + 2. Solve l(j) = 0.
-12, 0
Let j(u) be the third derivative of u**5/105 + u**4/2 - 44*u**3/21 + 81*u**2. Solve j(a) = 0 for a.
-22, 1
Factor 1/5*p**2 - 12/5*p + 0.
p*(p - 12)/5
Let t(h) be the third derivative of h**5/15 + h**4/3 - 18*h**2 + 6. Find f, given that t(f) = 0.
-2, 0
Let p(z) = 2*z**2 - 2*z - 10. Let v be p(3). Suppose 2*l = 7*l + s + 2, 0 = v*l + 3*s + 6. Factor -1/4*d**2 + 0 + l*d.
-d**2/4
Factor -1/4*v**5 - 45/4*v**2 + 5/4*v**3 + 5/4*v**4 + 27 + 0*v.
-(v - 3)**3*(v + 2)**2/4
Let a(t) be the first derivative of -21/10*t**4 + 0*t - 12/25*t**5 + 0*t**2 - 8/5*t**3 + 1/5*t**6 - 25. Factor a(z).
6*z**2*(z - 4)*(z + 1)**2/5
Let j(i) be the second derivative of -i**5/4 + 25*i**4/12 - 5*i**3/3 - 20*i**2 + 15*i. Suppose j(k) = 0. Calculate k.
-1, 2, 4
Let h be 90/35*1/((-16)/(-14)). Let 15/8*u - h - 3/8*u**2 = 0. Calculate u.
2, 3
Let h = -275 - -263. Let d be 24/6 - 1/(h/(-44)). Solve 0*u**2 - d*u**5 + 0 + 2/3*u**4 - 1/3*u**3 + 0*u = 0 for u.
0, 1
Suppose 0*t + 5/4*t**3 + 0 + 5*t**2 = 0. Calculate t.
-4, 0
Let k(j) = -j**2 - 42*j - 80. Let s be k(-40). Let g be -3 - 12/(-15) - -3. Solve -2/5*u**5 + 0*u + s + 8/5*u**4 - 2*u**3 + g*u**2 = 0 for u.
0, 1, 2
Let h(n) be the first derivative of n**6/18 + n**5/5 - n**4/12 - 11*n**3/9 - 2*n**2 - 4*n/3 + 51. Factor h(u).
(u - 2)*(u + 1)**3*(u + 2)/3
Let i(j) = 3*j**3 - 33*j**2 - 33*j + 3. Let f(q) = -3*q**3 + 33*q**2 + 34*q - 2. Let s(n) = -3*f(n) - 2*i(n). Determine r, given that s(r) = 0.
-1, 0, 12
Let v = -60 - -62. Find w, given that -80*w**2 + 10*w**4 + 20*w**3 + 78 - 5*w**5 + 5*w**4 + v = 0.
-2, -1, 2
Let n(p) be the second derivative of -p**6/105 - 3*p**5/70 + 8*p**4/21 - 4*p**3/7 + 166*p. Determine b so that n(b) = 0.
-6, 0, 1, 2
Let z(c) = -3*c**3 - 25*c**2 - 35*c - 171. Let p be z(-8). Factor 81/2*q**3 - 4 - 27/2*q**4 - p*q**2 + 22*q.
-(q - 1)*(3*q - 2)**3/2
Let i = -120 + 127. Suppose 0 = i*x - 4*x. Determine v, given that -3/5*v**2 + 2/5*v + 1/5*v**4 + x*v**3 + 0 = 0.
-2, 0, 1
Find r such that 957 + 753 - 1838 + 32*r + r**3 + 8*r**2 + 6*r**2 = 0.
-8, 2
Suppose 74 = 9*s + 20. Let z(k) be the first derivative of -1/18*k**4 - 16/9*k + 4/27*k**3 - s + 4/9*k**2. Factor z(j).
-2*(j - 2)**2*(j + 2)/9
Let d(v) = v + 3. Let s = 16 + -14. Let z be d(s). Suppose -4*n**2 + 5*n**2 + 10*n**4 - 20*n**3 + 2 + 19*n**2 - 10*n - 2*n**z = 0. Calculate n.
1
What is x in 27/2 + 150*x**2 + 90*x = 0?
-3/10
Factor -8/3*u**3 + 12 - 76/3*u**2 - 32/3*u.
-4*(u + 1)*(u + 9)*(2*u - 1)/3
Let x(v) be the first derivative of -2*v**5/65 + v**4/2 - 2*v**3 + 27*v**2/13 + 33. Let x(t) = 0. Calculate t.
0, 1, 3, 9
Let x(s) be the first derivative of 0*s + 10/21*s**3 - 4 - 4/7*s**2 - 1/14*s**4. Let x(q) = 0. What is q?
0, 1, 4
Let u be 2*17*20/(-40). Let b = -15 - u. What is f in -3*f + 8*f**2 - 12*f**3 + b*f**2 + 5*f**2 = 0?
0, 1/4, 1
Let b(n) = -6*n**3 + 22*n**2 + 22*n - 22. Let v = 30 + -46. Let k(x) = -2*x**3 + 7*x**2 + 7*x - 7. Let o(t) = v*k(t) + 5*b(t). Factor o(l).
2*(l - 1)**2*(l + 1)
Factor -f**4 + 5/2*f**2 - 3/4*f + 0 + 9/4*f**3.
-f*(f - 3)*(f + 1)*(4*f - 1)/4
Suppose -3*q = -475 + 28. Solve 153*w - 307*w - 5*w**2 + q*w = 0.
-1, 0
Let o(u) = 5*u**2 - 4. Let h be o(5). Let t be (-22)/h - 602/(-44). Factor 2/3 - 20/3*f - t*f**3 + 39/2*f**2.
-(f - 1)*(9*f - 2)**2/6
Let l(c) be the third derivative of -c**5/25 + 97*c**4/30 + 44*c**3/5 + 628*c**2. Factor l(o).
-4*(o - 33)*(3*o + 2)/5
Let g = 3/70 - 5/182. Let n = 127/195 + g. Solve 4/3*a**3 - 2/3*a**4 + 0*a - n*a**2 + 0 = 0 for a.
0, 1
Let j(v) = 6*v + 10. Let o be j(-4). Let y be (-116)/o + (-8)/28. Let -4*a**2 + 2*a - 4*a**4 - 13*a - a + y + 12*a**3 = 0. What is a?
-1, 1, 2
Let h(u) = 119*u + 1666. Let r be h(-14). Factor r - 3*x - 15/2*x**4 - 21/2*x**2 - 27/2*x**3 - 3/2*x**5.
-3*x*(x + 1)**3*(x + 2)/2
Let u be (-858)/(-182) + (-1 - 18/(-14)). Factor 2*t**2 + 6 - u*t**2 + 0 + 3*t.
-3*(t - 2)*(t + 1)
Determine c so that -16/9*c**2 + 14*c**4 + 44/9*c**3 + 0 + 0*c = 0.
-4/7, 0, 2/9
Determine r so that 2*r**4 + 1 + 11/2*r**3 + 1/4*r**5 + 17/4*r + 7*r**2 = 0.
-4, -1
Determine d, given that -11*d**3 - 148*d + 8*d**3 + 153*d**2 - 53*d + 51*d = 0.
0, 1, 50
Suppose -4*p + 5 = -3. Let y be 5 - 18/36*(-28)/(-3). Factor 0 + y*o - 1/3*o**p.
-o*(o - 1)/3
Let d(u) be the first derivative of -u**6/1980 + u**5/220 - u**4/66 - 23*u**3/3 - 22. Let g(y) be the third derivative of d(y). Factor g(o).
-2*(o - 2)*(o - 1)/11
Let c be (5 - 1782/300) + 1. Let m(l) be the second derivative of 0*l**2 + 0 - 1/10*l**4 - 1/75*l**6 - 1/15*l**3 + 6*l - c*l**5. Factor m(g).
-2*g*(g + 1)**3/5
Let q(v) = 92*v**3 - 1. Let h(p) = -2*p**4 + 4*p**3 + 1. Let z(l) = -h(l) - q(l). Factor z(w).
2*w**3*(w - 48)
Determine g, given that 132*g**2 - 116*g**4 + 53*g**3 - 81*g**3 - 16 + 35*g**4 + 112*g + 49*g**4 = 0.
-2, -1, 1/8, 2
Suppose 4*u + 13 = 33. Let a(v) be the second derivative of 0 + 0*v**2 + 0*v**3 + 1/110*v**5 - 1/231*v**7 - 1/66*v**4 - u*v + 1/165*v**6. Factor a(g).
-2*g**2*(g - 1)**2*(g + 1)/11
Let o(y) be the first derivative of y**3 - 15*y**2 + 27*y - 124. Let o(i) = 0. What is i?
1, 9
Suppose r**4 - 1/2*r**2 - 1/4*r**5 - 1/2 - r**3 + 5/4*r = 0. Calculate r.
-1, 1, 2
Let y(s) be the first derivative of -s**8/112 + 3*s**6/40 - s**5/10 - s**2 + 17. Let g(j) be the second derivative of y(j). Find b, given that g(b) = 0.
-2, 0, 1
Suppose 5*i = -10, -4*i + 1 + 21 = -5*o. Let d be (-1)/(-5) + (o - (-1248)/210). Let -1/7*w**4 + 2/7*w**3 + 0 - d*w**2 + 0*w = 0. Calculate w.
0, 1
Factor 2*q**2 - 8/7*q**5 - 30/7*q**3 + 26/7*q**4 - 2/7*q + 0.
-2*q*(q - 1)**3*(4*q - 1)/7
Find y, given that 21*y**3 - 324*y + 543*y**2 - 84 - 1151*y**2 + 509*y**2 = 0.
-2, -2/7, 7
Factor 2/3*d**3 - 8/3 + 16/3*d - 10/3*d**2.
2*(d - 2)**2*(d - 1)/3
Suppose -2*k + 8*p = 36, -3*k + 20 = 4*p - 6. Factor 36/11*n + 0 - 42/11*n**k - 2/11*n**4 + 16/11*n**3.
-2*n*(n - 3)**2*(n - 2)/11
Let s(b) = -b**2 - 59*b - 316. Let x be s(-6). Factor 2/3*q + 10/9*q**x - 4/9.
2*(q + 1)*(5*q - 2)/9
Suppose -175 = -57*g + 22*g. Let j(o) be the third derivative of 0 + 0*o + 0*o**3 + o**2 - 1/66*o**4 - 1/110*o**g. Suppose j(u) = 0. Calculate u.
-2/3, 0
Let n(a) = -a**3 + 3*a**2 - 2*a + 4. Let d be n(3). Let j be 1/d*(-2)/1. Solve -15*q**2 + 0*q - q + j + 19*q**3 - 11*q**2 + 1 + 42*q**4 = 0 for q.
-1, -2/7, 1/3, 1/2
Let t = 377/333 + -9/37. Let b(u) be the third derivative of t*u**3 + 0*u - 1/9*u**4 + 0 - 6*u**2 + 1/180*u**5. Solve b(z) = 0 for z.
4
Suppose 29*h = 31*h. Suppose -5*l - 282 + 292 = h. Let -2/5 - 2*z**l - 12/5*z = 0. Calculate z.
-1, -1/5
Let r(d) be the first derivative of -1/6*d**5 + 5/6*d**3 - 5/12*d**4 + 5/3*d**2 + 5 - 10/3*d. Solve r(w) = 0 for w.
-2, 1
Factor 98/9*j**2 - 2/9 + 32/3*j.
2*(j + 1)*(49*j - 1)/9
Let j(c) = -c**2 + 