23*o**2. Let v(k) = -6*k**5 - 67*k**4 - 14*k**3 + 47*k**2. Let l(d) = -5*r(d) + 3*v(d). What is n in l(n) = 0?
-1, 0, 1, 13
Let h(a) be the third derivative of -a**6/300 - a**5/75 - a**4/60 - 3*a**2 + 1. Factor h(s).
-2*s*(s + 1)**2/5
Factor 12*g**2 - 7 + 10*g**3 + 16*g - 2*g**3 - 28*g - 1.
4*(g - 1)*(g + 2)*(2*g + 1)
Let n(o) = -2*o + 129. Let a be n(63). Let -1/2 - 7/4*g + 7/4*g**2 + a*g**3 = 0. Calculate g.
-1, -1/4, 2/3
Let r be (-7)/(3/(-3)) - 1. Suppose -r = -3*f + 6. Suppose -3*g + 2*g**3 + 3*g - 2*g**2 + f*g**2 = 0. Calculate g.
-1, 0
Let p be 2*(-3)/21 - (-161)/49. Solve -74*i**5 + 188*i**p - 132*i**4 + 102*i**5 + 24*i**3 + 16 - 124*i**2 = 0 for i.
-2/7, 1, 2
Let j(r) be the first derivative of 8*r**5/5 + r**4 - 44*r**3/3 + 22*r**2 - 12*r + 73. Factor j(q).
4*(q - 1)**2*(q + 3)*(2*q - 1)
Let p(y) be the first derivative of y**3/2 + 57*y**2/4 - 179. Factor p(d).
3*d*(d + 19)/2
Let s(w) be the first derivative of 0*w + 1/2*w**2 + 0*w**3 + 2 + 1/70*w**5 - 1/42*w**4 - 1/420*w**6. Let g(n) be the second derivative of s(n). Factor g(x).
-2*x*(x - 2)*(x - 1)/7
Let c(o) be the second derivative of -o**5/90 - o**4/18 + o**3/3 - 5*o**2/9 - 2*o + 27. Suppose c(u) = 0. What is u?
-5, 1
Let m(r) be the third derivative of 0*r - 1/630*r**7 - 1/180*r**5 + 1/180*r**6 + 12*r**2 + 0*r**4 + 0 + 0*r**3. Find y, given that m(y) = 0.
0, 1
Let b(d) = -5*d**2 - 5*d + 3. Let r(v) = -14*v**2 - 16*v + 8. Let q(f) = f**3 - 20*f**2 + 19*f + 3. Let z be q(19). Let m(i) = z*r(i) - 10*b(i). Factor m(o).
2*(o + 1)*(4*o - 3)
Let s(c) = -3*c**3 - 10*c**2 - 16*c - 39. Let j be s(-3). Factor -4*h**3 + 4/7*h**5 + j*h - 8/7*h**4 - 16/7*h**2 + 0.
4*h**2*(h - 4)*(h + 1)**2/7
Let p(s) be the third derivative of s**8/840 - s**6/50 - 4*s**5/75 - s**4/20 - 10*s**2 - 4*s. Solve p(f) = 0.
-1, 0, 3
Let h(q) be the first derivative of -q**4/12 - 7*q**3/9 - 2*q**2 + 431. Factor h(j).
-j*(j + 3)*(j + 4)/3
Let r(g) be the second derivative of 1/7*g**4 - 8/7*g**2 - 10 + 0*g**3 + g - 1/35*g**5. Factor r(s).
-4*(s - 2)**2*(s + 1)/7
Let g(r) = 2*r**3 + r**2 - r - 1. Let i(y) = -5*y**4 + 41*y**3 + 28*y**2 - 18*y - 2. Let p(s) = 10*g(s) - 5*i(s). Solve p(d) = 0 for d.
-1, 0, 2/5, 8
Suppose 0 = 4*h - 17*h + 39. Let c(k) be the first derivative of 2 + 1/12*k**4 + 2/9*k**h + 0*k + 1/6*k**2. Let c(d) = 0. What is d?
-1, 0
Let n(u) be the second derivative of u**9/3780 - u**7/315 + u**5/30 + 25*u**4/12 - 41*u. Let j(o) be the third derivative of n(o). Factor j(f).
4*(f - 1)**2*(f + 1)**2
Let f = 25030 + -225248/9. Find o, given that 10/9 - f*o + 14/9*o**2 - 2/9*o**3 = 0.
1, 5
Solve 24/11 + 2/11*o**2 + 32/11*o - 2/11*o**4 - 8/11*o**3 = 0.
-3, -2, -1, 2
Solve -32/15*b + 2/15*b**4 - 32/15 + 8/15*b**3 + 0*b**2 = 0 for b.
-2, 2
Factor -10061 + 166*l**3 - 66*l**2 - 587 - 167*l**3 - 1452*l.
-(l + 22)**3
Suppose 7*z = 10*z. Let y(i) be the second derivative of i + z*i**2 - 1/165*i**6 + 1/22*i**5 + 4/33*i**3 + 0 - 4/33*i**4. What is p in y(p) = 0?
0, 1, 2
Let k = -2843 + 2845. Suppose -2/11*l - 2/11*l**4 + 2/11*l**3 + 2/11*l**k + 0 = 0. What is l?
-1, 0, 1
Let a = -90/109 + 777/545. Find w, given that 33/5*w**2 - a*w**3 + 0*w + 0 = 0.
0, 11
Let t(r) be the second derivative of -9*r**7/28 - 9*r**6/20 + 111*r**5/40 + 37*r**4/8 - r**3 - 3*r**2 + r + 74. Let t(c) = 0. What is c?
-2, -1, -1/3, 1/3, 2
Let f be (-440)/(-165) - 1/(-3). Factor 3/7*u**5 + 9/7*u**4 - 6/7*u**2 - 9/7*u + 6/7*u**f - 3/7.
3*(u - 1)*(u + 1)**4/7
Factor -282/7*n + 19881/7 + 1/7*n**2.
(n - 141)**2/7
Let t be ((-336)/(-4410))/(1/((-35)/(-10))). Let -2*u**2 + 2/15*u + 38/15*u**3 + t - 14/15*u**4 = 0. What is u?
-2/7, 1
Let j(i) be the second derivative of -3*i**4/10 - 8*i**3 - 80*i**2 - i - 30. Let j(t) = 0. Calculate t.
-20/3
Suppose -b = 6*b + 9*b. Let s(x) be the second derivative of -2/3*x**3 + 0 - 9*x + x**2 - 1/15*x**6 + b*x**4 + 1/5*x**5. Factor s(o).
-2*(o - 1)**3*(o + 1)
Let h = 7 - 5. Suppose h*l + 1 = 7. Find z such that 3*z**5 - 3*z**5 + 2*z**2 - 2*z**4 + z**l - z**5 = 0.
-2, -1, 0, 1
Factor 21 + 15/2*s - 3/2*s**2.
-3*(s - 7)*(s + 2)/2
Let p(s) be the first derivative of -s**6/135 - s**5/45 + s**4/18 + 6*s + 10. Let k(w) be the first derivative of p(w). Factor k(g).
-2*g**2*(g - 1)*(g + 3)/9
Let i(s) be the third derivative of -1/110*s**6 + 0*s + 0*s**3 + 0 - 1/1848*s**8 - 4*s**2 + 2/165*s**5 - 1/132*s**4 + 4/1155*s**7. Factor i(k).
-2*k*(k - 1)**4/11
Let h(g) be the second derivative of 5*g**4/12 - 10*g**3/3 - 30*g**2 + 24*g. Factor h(r).
5*(r - 6)*(r + 2)
Let a be 3/15 + (-777)/(-315). Factor a*s + 2 + 2/3*s**2.
2*(s + 1)*(s + 3)/3
Let h be (-15)/90 + 57/18. Let a(g) be the second derivative of 0*g**2 + 6*g - 1/7*g**h - 1/42*g**4 + 0. Factor a(s).
-2*s*(s + 3)/7
Factor -158*d + 61*d + 74 + 4*d**2 + 394*d.
(d + 74)*(4*d + 1)
Let n(z) be the third derivative of z**7/735 + z**6/20 + 19*z**5/70 + 55*z**4/84 + 6*z**3/7 + 137*z**2. Factor n(m).
2*(m + 1)**3*(m + 18)/7
Let v(l) be the second derivative of 0 + 1/360*l**5 + 1/72*l**4 + 0*l**3 - 3*l**2 - 5*l. Let x(u) be the first derivative of v(u). Factor x(a).
a*(a + 2)/6
Let s(n) be the first derivative of 1/3*n**3 + 20 + 1/16*n**4 - n - 1/8*n**2. Solve s(o) = 0.
-4, -1, 1
Let r(g) be the first derivative of -1/4*g**4 - 14 + 1/5*g**5 + 1/2*g**2 - 1/3*g**3 + 0*g. Let r(w) = 0. Calculate w.
-1, 0, 1
Determine j so that 0 + 0*j + 0*j**4 + 6/11*j**3 - 4/11*j**2 - 2/11*j**5 = 0.
-2, 0, 1
Let y(k) = -27*k**3 - 138*k**2 - 225*k - 48. Let r(w) be the first derivative of w**4/4 + w**3/3 - w - 1. Let q = -5 - 1. Let h(i) = q*r(i) - y(i). Factor h(a).
3*(a + 3)**2*(7*a + 2)
Let r = 3/3704 + 14801/18520. What is d in -2/5*d**2 + r*d + 0 = 0?
0, 2
Solve -2*n**4 + 12*n**2 - 226*n**3 + 222*n**3 + n**4 - n**5 - 6*n**4 = 0 for n.
-6, -2, 0, 1
Let g(i) be the first derivative of i**7/1050 + i**6/225 + i**5/150 - i**3 - 9. Let u(s) be the third derivative of g(s). Factor u(c).
4*c*(c + 1)**2/5
Suppose 22*l = 22 - 22. Let k(o) be the third derivative of 1/90*o**5 + 0*o + 10*o**2 - 1/36*o**4 + l*o**3 + 0. Suppose k(t) = 0. Calculate t.
0, 1
Let h be (7 - 279/45)*3/6. Let d(i) be the third derivative of -1/100*i**5 + i**2 + 0*i + 0 - 1/200*i**6 + 1/10*i**4 + h*i**3. Determine m so that d(m) = 0.
-2, -1, 2
Let s(v) be the third derivative of 1/6*v**4 + 1/10*v**6 + 0*v**3 + 0*v + 1/5*v**5 + 6*v**2 + 2/105*v**7 + 0. Solve s(c) = 0 for c.
-1, 0
Let d(y) = -7*y**3 + 2*y**2 - 4*y - 5. Let q be d(-2). Let h = 67 - q. Suppose 0 + h*j + 1/4*j**2 - 1/4*j**3 = 0. What is j?
0, 1
Suppose -2*h - h + 3*z - 18 = 0, 4*z - 6 = -5*h. Let b be (39/26)/(h + (-10)/(-4)). Factor -1/2*n**4 + 0 + n**b + 1/2*n**2 - n.
-n*(n - 2)*(n - 1)*(n + 1)/2
Let d(c) be the first derivative of 0*c + 9 + 1/8*c**4 - 1/4*c**2 + 0*c**3. Find w, given that d(w) = 0.
-1, 0, 1
Let m(y) be the third derivative of y**6/540 + y**5/60 + y**4/18 - 5*y**3/6 + 3*y**2. Let j(p) be the first derivative of m(p). Solve j(c) = 0.
-2, -1
Suppose -2*v - 55 + 73 = 5*x, -2*v + 6 = 2*x. Factor 1/4*q**4 - 5/2*q**3 - 10*q + x + 33/4*q**2.
(q - 4)**2*(q - 1)**2/4
Let a(h) = -h**3 + 31*h**2 + 44*h - 37. Let u be a(32). Let d = 351 - u. Determine c, given that 0*c**3 + 0*c + 1/3*c**2 - 1/6*c**d - 1/6 = 0.
-1, 1
What is u in 17*u**2 + 118*u + 3*u**2 - 20*u**3 - 4*u**2 + 12*u - 6*u + 24 = 0?
-2, -1/5, 3
Suppose -20*s + 360 = 25*s. Let n(k) be the first derivative of 0*k**2 + s*k + 9 - 2/3*k**3. Suppose n(c) = 0. What is c?
-2, 2
Let n(t) = t**2 + 3*t. Let b(g) = -g**2 + g. Let w(i) = -2*i - 19. Let v be w(-10). Let f(j) = v*n(j) - 3*b(j). Let f(z) = 0. What is z?
0
Let p(j) be the second derivative of j**8/420 - j**7/210 + 8*j**3/3 - 21*j. Let d(b) be the second derivative of p(b). Let d(s) = 0. What is s?
0, 1
Let x(z) be the second derivative of z**6/255 - 8*z**5/85 + 5*z**4/34 - 88*z. Find r, given that x(r) = 0.
0, 1, 15
Let h(q) = -14*q**2 - 20*q - 2. Let d(r) = r + r**2 + 2 + 5 - 1 - 7. Let a(b) = -4*d(b) - h(b). Factor a(z).
2*(z + 1)*(5*z + 3)
Factor 21/2*u + 9 - 3/2*u**3 + 0*u**2.
-3*(u - 3)*(u + 1)*(u + 2)/2
Let s = 14 - 12. Suppose -3*v + 6 = -2*l - 8, 0 = 5*v + 5*l + 10. Factor -3*j**3 + v*j**3 - 4*j**s + 3*j - 7*j.
-j*(j + 2)**2
Let q be (132/(-35))/(-4) + (-7)/49. Suppose 2/5*s**4 + q*s**2 + 0 + 0*s - 6/5*s**3 = 0. Calculate s.
0, 1, 2
Suppose 2*w**2 + 