- 2)*(r + 1)**2/2
Let k(u) be the third derivative of u**5/30 - u**4/3 + 4*u**3/3 - 110*u**2. Factor k(d).
2*(d - 2)**2
Let z(v) be the second derivative of -v**8/73920 + v**7/13860 + v**6/1980 - v**5/165 - 2*v**4 + 44*v. Let h(l) be the third derivative of z(l). Solve h(r) = 0.
-2, 2
Let x(p) = 3*p**2 - 20*p - 5. Let j be x(7). Let o(m) be the first derivative of 0*m + m**3 - j + 3/2*m**2. Let o(a) = 0. What is a?
-1, 0
Let p be (-1)/(4/(-6) + 1). Let u be (-9)/p - (2 - 2). Let -7*m + 12*m**2 - 4 + u*m + 0*m - 4*m = 0. Calculate m.
-1/3, 1
Let t(y) be the third derivative of 1/330*y**6 + 0*y + 0 - 1/11*y**3 - 1/1848*y**8 - 1/385*y**7 - 6*y**2 - 1/132*y**4 + 1/55*y**5. Determine j so that t(j) = 0.
-3, -1, 1
Let p(c) be the second derivative of -1/36*c**3 - 9*c + 1/72*c**4 + 0 + 1/120*c**5 - 1/12*c**2. Factor p(v).
(v - 1)*(v + 1)**2/6
Let x(o) be the third derivative of o**7/84 + 7*o**6/60 + 7*o**5/30 - o**4/3 + 49*o**2. Find p, given that x(p) = 0.
-4, -2, 0, 2/5
Let l(g) be the second derivative of -2*g**2 + 0 - 2*g**3 + 4/3*g**4 - 6*g. Find q such that l(q) = 0.
-1/4, 1
Suppose -5*t = 0, 0 = 5*v - 4*t - 7 - 13. Let -16*z - 28*z**v - 8*z**2 - 20*z**3 + 12*z**4 - 24*z**2 + 12*z**4 = 0. Calculate z.
-2, -1, 0
Let c be 26*3/(-252) - 12/(-36). Let v(r) be the third derivative of 2*r**2 + c*r**4 - 1/210*r**5 + 0 + 0*r**3 + 0*r. Factor v(g).
-2*g*(g - 2)/7
Let h(w) be the third derivative of -w**7/84 + 3*w**6/16 + 5*w**5/12 + 99*w**2. Factor h(u).
-5*u**2*(u - 10)*(u + 1)/2
Solve -16*r + 13*r**4 + 16*r**3 - r**4 - 48 + 52*r**2 - 17*r**4 + r**4 = 0 for r.
-2, -1, 1, 6
Suppose -3*r - 35 = -4*n, -5*n + 88 = r + 30. Determine y so that -4*y**3 - n*y**2 - 3*y**3 - 2*y**3 + 9*y**2 = 0.
-2/9, 0
Let p(v) be the third derivative of 0 - 1/30*v**5 - 21*v**2 + 1/12*v**4 + 2/3*v**3 + 0*v. Factor p(k).
-2*(k - 2)*(k + 1)
Let k = 23 + -21. Let h be (-58)/(-84) + k/12. Suppose -4/7*q**2 + h*q**5 + 2/7 + 6/7*q + 2/7*q**4 - 12/7*q**3 = 0. Calculate q.
-1, -1/3, 1
Let t = -9269/15 + 618. Let n(m) be the second derivative of -m - t*m**3 + 0 + 1/50*m**5 + 1/15*m**4 - 2/5*m**2. Factor n(p).
2*(p - 1)*(p + 1)*(p + 2)/5
Let t(g) be the second derivative of -15*g + 0*g**2 + 0 + 0*g**3 - 1/60*g**5 - 1/180*g**6 + 1/24*g**4. Suppose t(x) = 0. What is x?
-3, 0, 1
Let s = 5/88 + 73/264. Let m(n) be the second derivative of -s*n**3 - 1/4*n**4 + 0 + 1/30*n**6 + 0*n**2 + 0*n**5 - 7*n. Suppose m(i) = 0. Calculate i.
-1, 0, 2
Suppose -2*c**2 + 1/3*c**3 + 3*c - 4/3 = 0. Calculate c.
1, 4
Let d(a) be the first derivative of a**5/10 - 5*a**4/6 + 7*a**3/3 - 3*a**2 - 16*a - 21. Let w(l) be the first derivative of d(l). Suppose w(x) = 0. Calculate x.
1, 3
Suppose -5*w - 15 - 25 = 0. Let x be w/6*42/(-28). Find a such that -3*a**2 - 2 - 4*a - 3*a**2 + 5*a**x - a**2 = 0.
-1
Let z(q) = 51*q**2 + 315*q + 15. Let v(k) = -50*k**2 - 311*k - 14. Let i(m) = -3*v(m) - 4*z(m). Factor i(l).
-3*(l + 6)*(18*l + 1)
Let m be 0*8/(-32) + 0/(-4). Let a(y) be the third derivative of -5*y**2 + 0*y**6 + m*y**4 - 1/10*y**5 + 0*y + 0 + 1/70*y**7 + 1/2*y**3. Factor a(w).
3*(w - 1)**2*(w + 1)**2
Let l(f) = -1964*f**2 - 322756*f - 17643772. Let m(h) = -h**3 - 1965*h**2 - 322755*h - 17643773. Let q(t) = 3*l(t) - 4*m(t). Factor q(r).
4*(r + 164)**3
Let x(h) = h - 12. Let a be x(6). Let j be 4/a - 64/(-60). Factor 0 + j*m**2 + 0*m.
2*m**2/5
Factor 50*v**5 + 7*v**4 + 3*v**4 + 57*v**5 + 12*v**3 - 4*v**2 - 6 - 105*v**5 - 14*v.
2*(v - 1)*(v + 1)**3*(v + 3)
Solve 55*m**3 + 22*m**4 - 40*m**2 + 5*m**5 + 18*m**4 + 221*m - 281*m = 0.
-6, -2, -1, 0, 1
Let u = 3046 + -3046. Determine t, given that -4/9*t + u + 2/9*t**2 = 0.
0, 2
Let v(n) be the first derivative of -n**6/4 + 9*n**5/40 + n**4/4 + 10*n + 11. Let s(t) be the first derivative of v(t). Find o, given that s(o) = 0.
-2/5, 0, 1
Find n, given that -14/3*n**2 - 2/9*n**3 - 4*n + 80/9 = 0.
-20, -2, 1
Let f = 1886 + -1884. Factor 3/4*s - 1/2 - 1/4*s**f.
-(s - 2)*(s - 1)/4
Let z(s) be the second derivative of -4/3*s**3 + 0*s**2 - 2/21*s**7 + 0 + 3/5*s**5 - 4*s + 1/3*s**4 - 2/15*s**6. What is p in z(p) = 0?
-2, -1, 0, 1
Let v = 8714 - 113280/13. Determine a, given that 8/13*a + 8/13 - 10/13*a**2 + 2/13*a**4 + v*a**5 - 10/13*a**3 = 0.
-2, -1, 1, 2
Let r be (2 - 161/70)/(2/(-10)). Solve -3/2*g**4 + r*g**2 - 3/2*g**5 + 3/2*g**3 + 0 + 0*g = 0 for g.
-1, 0, 1
Suppose -4*v - 173 = -3*c, 5*c = -9 - 16. Let t = 142/3 + v. Suppose 1/3*w**2 + t*w + 0 = 0. Calculate w.
-1, 0
Let v(i) be the first derivative of -i - 2 - 4/9*i**2 - 5/9*i**4 + 23/27*i**3 - 1/10*i**5. Let a(w) be the first derivative of v(w). Find c such that a(c) = 0.
-4, 1/3
Let j(b) be the first derivative of -b**5/15 + b**4/2 + 8*b**3/3 + 6*b**2 + 15. Let x(r) be the second derivative of j(r). Determine p, given that x(p) = 0.
-1, 4
Let r be 17/5 - (69/(-15) + 5). Find o such that -4*o + 9 + 2*o + 6*o**3 - r*o**5 - 15*o**2 - 3*o**2 - o + 9*o**4 = 0.
-1, 1, 3
Let u(a) be the first derivative of a**3 - 114*a**2 + 4332*a + 161. Factor u(w).
3*(w - 38)**2
Let t = -2430/17 + 9737/68. Factor t*l**2 + 36 + 6*l.
(l + 12)**2/4
Let m be 21*-2*(-3)/9. Let u(k) = -k**2 - 7*k - 6. Let g(j) = 2*j + 2. Let z(x) = m*g(x) + 4*u(x). Factor z(l).
-4*(l - 1)*(l + 1)
Let r(m) be the first derivative of m**3/3 - 3*m**2 - 20. Let s be r(6). Factor -3/2*q**3 - 6 + s*q + 9/2*q**2.
-3*(q - 2)**2*(q + 1)/2
Suppose 0 = -3*p - 2*u - 195, 0 = p + 3*u + 90 - 18. Let s = p - -191/3. Factor s*h**4 + 0 - 2/3*h**2 + 1/3*h + 0*h**3 - 1/3*h**5.
-h*(h - 1)**3*(h + 1)/3
Let w(v) = -12*v**2 - 4*v + 8. Let b(y) be the first derivative of 12*y**3 + 6*y**2 - 24*y + 24. Let q(h) = -5*b(h) - 16*w(h). Factor q(j).
4*(j + 1)*(3*j - 2)
Factor -17*j**2 + 10*j**2 + 65*j + 12*j**2.
5*j*(j + 13)
Let g(l) be the second derivative of -l**6/3 + 5*l**5/4 - 25*l**3/6 + 5*l**2 + 196*l. What is o in g(o) = 0?
-1, 1/2, 1, 2
Suppose -1993*a - 76 = -2031*a. Let 5/4*x + 0*x**a + 0 - 5/4*x**3 = 0. What is x?
-1, 0, 1
Suppose -5*l + 2 = -10*l - 2*y, -2*l + 4*y + 28 = 0. Determine x so that 2/11*x**4 + 30/11*x**l - 18/11*x**3 + 50/11*x + 0 = 0.
-1, 0, 5
Let k(g) be the second derivative of -1/9*g**4 + 5*g + 0*g**2 - 4/9*g**3 + 2/15*g**5 + 2/45*g**6 + 0. Suppose k(a) = 0. What is a?
-2, -1, 0, 1
Let p(f) be the third derivative of f**5/12 - 5*f**4/12 + 22*f**2 - 6*f. Factor p(u).
5*u*(u - 2)
Suppose -32 = -i + 5*j, 3*i + 26*j = 27*j + 12. Determine x, given that 0 - 2*x - 2/3*x**i = 0.
-3, 0
Let x(n) be the first derivative of -n**6/24 - 2*n**5/5 - 3*n**4/8 + 2*n**3/3 + 7*n**2/8 + 437. Suppose x(s) = 0. What is s?
-7, -1, 0, 1
Let f(j) = j**2 + j + 1. Let k be f(-3). Let -51 - 240*p**2 - 4*p**3 + k*p**3 - 29 - 48*p**3 - 260*p = 0. What is p?
-4, -2/3
Let j(n) be the third derivative of -n**5/600 + 73*n**4/240 - 6*n**3/5 - 222*n**2. Suppose j(i) = 0. Calculate i.
1, 72
Let x(u) be the third derivative of u**7/735 - u**6/35 + u**5/35 + 13*u**4/21 + 11*u**3/7 + 2*u**2 - 71. Solve x(d) = 0.
-1, 3, 11
Let k(m) = 3*m + 9. Let a be k(-3). Let f = 157/265 - -2/265. Factor -3/5*r**5 + f*r**4 + 0*r**2 + 0*r + a*r**3 + 0.
-3*r**4*(r - 1)/5
Let 4/3 - 86/15*s**2 - 8/15*s**3 - 58/15*s = 0. What is s?
-10, -1, 1/4
Let n(s) = -s**3 - 7*s**2 - 11*s + 6. Let p be n(-4). Solve -2/7*k**5 + 10/7*k**4 + 2*k - 12/7*k**3 - 6/7 - 4/7*k**p = 0 for k.
-1, 1, 3
Let s = -7 + 9. Find w such that -64 + 4*w**s + 8*w - 54 + 106 = 0.
-3, 1
Let c be -2 + 123/21 + -2 + 40/280. Solve 2/9*p**c - 2/9 + 0*p = 0 for p.
-1, 1
Let u(w) be the third derivative of -w**8/336 + w**7/15 - 53*w**6/120 + 19*w**5/15 - 3*w**4/2 - 2*w**2 - 499*w. Factor u(l).
-l*(l - 9)*(l - 2)**2*(l - 1)
Let c(l) = 33*l**2 + 690*l - 7959. Let j(q) = -7*q**2 - 138*q + 1592. Let k(r) = 5*c(r) + 24*j(r). Factor k(i).
-3*(i - 23)**2
Find l such that 2359/2*l**3 - 641*l**2 + 931/2*l**4 + 12 + 34*l = 0.
-3, -2/19, 2/7
Factor -4*p**3 + 20*p**2 - 9*p**2 + 5*p**2 - 20*p + 8.
-4*(p - 2)*(p - 1)**2
Let p be (5/10*-6)/(-10). Let a(d) be the first derivative of -2/5*d - 1/15*d**3 + 6 - p*d**2. What is h in a(h) = 0?
-2, -1
Let b(g) be the second derivative of 2/15*g**4 + 4/15*g**3 - 3/50*g**5 + 0*g**2 + 0 - 16*g - 2/75*g**6 + 1/105*g**7. Solve b(k) = 0.
-1, 0, 2
Let k(s) be the third derivative of -5/84*s**4 + 0 - 4/21*s**3 + 14*s**2 - 1/210*s**5 + 0*s. Find d