**6/24 + 9*n**5/20 - 11*n**4/8 + 4*n**2 + 197. Solve q(i) = 0 for i.
-1, 0, 2, 4
Let d(r) be the second derivative of -1/60*r**6 + 3*r**2 - 5*r - 1/6*r**5 - 2/3*r**4 + 0 - 4/3*r**3. Let a(j) be the first derivative of d(j). Factor a(t).
-2*(t + 1)*(t + 2)**2
Let k = -581 - -2992/5. Let z = k + -569/35. What is p in -z + 0*p + 2/7*p**3 + 6/7*p**2 = 0?
-2, 1
Let t(f) = -f**2 + 10*f - 11. Let q be t(8). What is l in 0*l - l + 2*l**2 - 36 + 30 + q*l = 0?
-3, 1
Suppose 0*a - 48/5*a**2 + 84/5*a**3 + 0 - 12/5*a**4 - 9/5*a**5 = 0. Calculate a.
-4, 0, 2/3, 2
Let i = -18 + 24. Let q be (-6)/(-45) + 655/150. Factor q*h**2 + 12*h + i.
3*(h + 2)*(3*h + 2)/2
Let y be (-33)/(-22)*(2 + -1)*2. What is v in 98*v**3 - 40*v**4 + 40 + 46*v**2 - 78*v - 25*v**5 - y*v**3 + 24*v**2 - 62*v = 0?
-2, 2/5, 1
Let f(a) be the third derivative of a**8/560 - 3*a**7/280 - 3*a**3/2 - 13*a**2. Let w(v) be the first derivative of f(v). Factor w(u).
3*u**3*(u - 3)
Let a(q) be the third derivative of -q**5/210 + 5*q**4/2 - 525*q**3 + 305*q**2. Solve a(o) = 0 for o.
105
Let w(p) be the second derivative of p**5/20 + p**4/8 - p**3 - 15*p**2/2 - 12*p. Let g(r) be the first derivative of w(r). Factor g(t).
3*(t - 1)*(t + 2)
Suppose -560*o - 5/2*o**3 + 155/2*o**2 - 640 = 0. What is o?
-1, 16
Let m(r) be the second derivative of -5*r**4/12 - 55*r**3/6 + 30*r**2 + 5*r - 7. Solve m(y) = 0.
-12, 1
Let l(m) = m**3 + m**2 + m + 1. Let k(x) be the first derivative of 2*x**4 + 4*x**3 + 7*x**2/2 + 7*x - 21. Let c(y) = -5*k(y) + 35*l(y). Factor c(s).
-5*s**2*(s + 5)
Determine u, given that 1/3*u**2 - 7/3*u + 10/3 = 0.
2, 5
Let d(c) be the first derivative of -49*c**6/45 - 7*c**5/60 + 5*c**4/9 + 2*c**3/9 + 4*c - 14. Let m(o) be the first derivative of d(o). Let m(b) = 0. What is b?
-2/7, 0, 1/2
Let q be (36/(-8) + 7)/((-2)/(-4)). Let f be 1/q - (-8 - (-16 - -9)). Solve -6/5*w**2 + f*w + 2/5*w**3 - 2/5 = 0 for w.
1
Let z(l) be the third derivative of -l**7/210 - 3*l**6/40 - 2*l**5/15 + 4*l**2 + 18*l. Find k such that z(k) = 0.
-8, -1, 0
Let l(k) = -2*k**2 + 42*k - 34. Let q(g) = g**2 - 4*g + 1. Let a(h) = l(h) + 3*q(h). Suppose a(t) = 0. What is t?
-31, 1
Let q(r) be the second derivative of r**6/360 - r**5/30 + r**4/8 - r**3/3 - r. Let x(d) be the second derivative of q(d). Let x(a) = 0. Calculate a.
1, 3
Let f(k) be the second derivative of -k**7/630 - k**6/48 + k**5/30 + 3*k**4/2 - 15*k. Let v(x) be the third derivative of f(x). Factor v(a).
-(a + 4)*(4*a - 1)
Factor -1097*o - 149*o**3 - 3*o**4 - 2592*o**2 - 19639*o - 62208 + 5*o**3.
-3*(o + 12)**4
Let b(o) be the second derivative of -o**6/8 - o**5/12 + 5*o**4/8 + 5*o**3/6 + 5*o**2 + 10*o. Let d(n) be the first derivative of b(n). Factor d(f).
-5*(f - 1)*(f + 1)*(3*f + 1)
Let v be (-10 + 7)*1/(-3). Let a be (4/(-10))/(v/(-5)). Factor 4 + 2*n - 3 - 2 + 0*n**2 - n**a.
-(n - 1)**2
Let v(f) be the second derivative of 11*f + 25/12*f**4 + 0*f**2 + 5/2*f**3 + 0 - 1/2*f**5. Solve v(b) = 0 for b.
-1/2, 0, 3
Let x(z) be the first derivative of -2 - 4/3*z**2 + 1/3*z**5 + 1/2*z**4 + 1/18*z**6 - 4/9*z**3 + 0*z. Find i such that x(i) = 0.
-2, 0, 1
Let f = -4 + 8. Let u be (4 + 0)*((-26)/8 + 4). Solve 3*h - 15*h**f - 3*h**2 + u*h - 18*h**2 + 3*h**5 + 27*h**3 = 0 for h.
0, 1, 2
Let y be (-39)/20*(608/48 + -13). Let c(m) be the second derivative of 0 - 1/5*m**3 - 13*m + 0*m**2 - y*m**4. What is x in c(x) = 0?
-2/13, 0
Let g(a) be the third derivative of 0*a**3 + 0*a - 4/15*a**5 + 2/35*a**7 + 42*a**2 + 0 - 2/3*a**4 + 1/6*a**6. Find h such that g(h) = 0.
-2, -2/3, 0, 1
Let t(u) be the second derivative of u**6/180 - u**5/5 + 3*u**4 + 23*u**3/6 - 6*u. Let o(a) be the second derivative of t(a). Let o(h) = 0. Calculate h.
6
Let f(c) be the second derivative of -c**4/3 - 12*c**3 - 154*c**2 - 131*c. Factor f(g).
-4*(g + 7)*(g + 11)
Suppose y = -1 + 10. Find n such that -6 - y - 20*n**5 + 809*n + 55*n**2 + 15*n**3 - 804*n - 40*n**4 = 0.
-3/2, -1, 1/2, 1
Find g such that 65*g**3 - 15*g**2 - 70 + 90*g**2 - 25*g**4 - 65*g - 23*g**4 + 43*g**4 = 0.
-1, 1, 14
Factor -4*z**4 - 3*z**4 - 4*z**3 + 10*z**4 - 2*z**4 + 4*z + 3*z**2 - 4.
(z - 2)**2*(z - 1)*(z + 1)
Factor -15/2*l**2 + 0 + 3/2*l**4 + 3*l**3 - 9*l.
3*l*(l - 2)*(l + 1)*(l + 3)/2
Let f(z) be the third derivative of z**5/60 + z**4/24 - z**3/3 + z**2. Let g(u) = 3*u**2 + u - 4. Let w = 315 + -313. Let c(h) = w*g(h) - 5*f(h). Factor c(a).
(a - 2)*(a - 1)
Let m(r) = 33*r**3 + 54*r**2 - 231*r + 54. Let p(s) = -37*s**3 - 53*s**2 + 232*s - 52. Let j(c) = -4*m(c) - 3*p(c). Solve j(d) = 0 for d.
-5, 2/7, 2
Let r(g) be the second derivative of -g**6/6 + 15*g**5/2 - 280*g**4/3 - 25*g**3 + 1125*g**2/2 + 21*g. Factor r(a).
-5*(a - 15)**2*(a - 1)*(a + 1)
Let k(a) be the third derivative of a**7/2205 + a**6/252 + 4*a**5/315 + a**4/63 - 226*a**2 - a. Suppose k(u) = 0. What is u?
-2, -1, 0
Let r(p) be the first derivative of -588*p**4 - 167*p**4 + 12 - 648*p**3 + 26*p**4 - 32*p - 216*p**2. Determine d, given that r(d) = 0.
-2/9
Let l(r) be the third derivative of -r**8/3920 + r**7/490 - r**6/168 + r**5/140 - 3*r**3/2 + 13*r**2. Let q(p) be the first derivative of l(p). Factor q(y).
-3*y*(y - 2)*(y - 1)**2/7
Let h = -20 - -23. Suppose 29*t**3 + 24*t**2 + 18*t**2 - 40*t - 50*t**4 + 8 + 11*t**h = 0. Calculate t.
-1, 2/5, 1
Factor 8*i**3 + 24*i - 26*i**2 + 0 - 1/2*i**4.
-i*(i - 12)*(i - 2)**2/2
Solve -139/5*f**3 + 56/5*f + 67/5*f**2 - 4 - 31*f**4 - 5*f**5 = 0 for f.
-5, -1, 2/5
Let l be 14/56 - (-5)/18*1827/210. Solve 0 + l*f**3 - 2/3*f**5 + 0*f - 2*f**4 + 0*f**2 = 0.
-4, 0, 1
Let a(g) be the third derivative of 0*g + 5/36*g**4 + 1/180*g**6 + 2/45*g**5 + 0 + 22*g**2 + 2/9*g**3. What is t in a(t) = 0?
-2, -1
Suppose 10*w - 17*w - 10*w = -51. Factor 0 - 1/3*o**4 - 4/3*o**w - 5/3*o**2 - 2/3*o.
-o*(o + 1)**2*(o + 2)/3
Let j(f) = f**2 - 9. Let i be j(-4). Factor k + 4*k + 15*k**2 + 3*k**3 + i*k**3.
5*k*(k + 1)*(2*k + 1)
Factor -5*i**3 + 26*i**2 + 84*i + 19*i**2 - 64*i**2 + 27*i**2 + i**3 + 72.
-4*(i - 6)*(i + 1)*(i + 3)
Let r be (1/4)/(85/204). Solve -6/5*d**3 - 6/5*d**2 + r + 3/5*d + 3/5*d**5 + 3/5*d**4 = 0 for d.
-1, 1
Let n be 12/(-60) + (-29)/5. Let c be (-1 - n/4)*4. What is w in 6*w**2 + 12*w + 8*w**c + 3 - 5*w**2 = 0?
-1, -1/3
Suppose 5*g - 60 = -25*g. Let i be g*2/120*(-1 + 5). Let -i*a**3 + 2/15 - 2/15*a**2 + 2/15*a = 0. Calculate a.
-1, 1
Suppose -3*w + 90 = 30. Suppose -q = 4*q - w. Suppose 8*o**4 - 4*o**5 + 12*o + o**q - 8*o**2 - 4 + 3*o**4 - 8*o**3 = 0. What is o?
-1, 1
Let t(c) = c**5 - c**4 - c**3 + 5*c**2 - 2*c - 1. Let b(x) = -124*x**5 + 12*x**3 - 60*x**2 + 24*x + 12. Let g(o) = -b(o) - 12*t(o). Factor g(z).
4*z**4*(28*z + 3)
Suppose 5*u = 4*t - 4, -2*t - 26 = -3*t - 5*u. Let c be ((-2)/t)/((-1)/18). Determine m so that -c*m**4 + 2*m**5 - 2*m**3 + m**4 + 0*m**2 + 2*m**2 + 3*m**4 = 0.
-1, 0, 1
Suppose -264*t - 204*t = -86*t. Factor 0*j**3 + 8/5*j**2 - 8/5*j**4 + t + 4/5*j - 4/5*j**5.
-4*j*(j - 1)*(j + 1)**3/5
Let h(u) be the second derivative of -u**4/12 - 5*u**3/6 + 3*u**2 + 28*u + 1. Let p(j) = j**2 - j. Let a(i) = 2*h(i) - 2*p(i). Factor a(c).
-4*(c - 1)*(c + 3)
Let z(w) be the second derivative of -w**6/6 + 7*w**5/4 - 5*w**4/3 - 10*w**3 - 172*w. Factor z(m).
-5*m*(m - 6)*(m - 2)*(m + 1)
Let k(n) be the third derivative of -n**5/30 + 51*n**4/2 - 7803*n**3 - 555*n**2. Factor k(j).
-2*(j - 153)**2
Let j(b) be the second derivative of b**9/1512 - b**7/140 + b**6/90 + 17*b**3/6 + 26*b. Let g(x) be the second derivative of j(x). Find k, given that g(k) = 0.
-2, 0, 1
Let f(s) be the second derivative of -1/360*s**5 + 0 + 0*s**4 - 5*s + 0*s**3 + 3/2*s**2. Let q(v) be the first derivative of f(v). Let q(w) = 0. Calculate w.
0
Let k be 1/9 - 4/36. Let g(b) be the second derivative of 1/15*b**5 - 1/18*b**4 + 0 - 6*b + k*b**2 + 0*b**3 - 1/45*b**6. Factor g(a).
-2*a**2*(a - 1)**2/3
Suppose 4*l - 14 = -3*v, 2 = 8*v - 11*v + 4*l. Factor -2/3*f**3 - 2/3*f**5 + 0 + 0*f**v + 0*f - 4/3*f**4.
-2*f**3*(f + 1)**2/3
Let s = -66391/2 - -33198. Find z, given that 2*z**2 + 0*z + s*z**4 + 4*z**3 + 0 + 1/2*z**5 = 0.
-2, -1, 0
Let q(a) be the first derivative of 1 + 36/5*a + 1/15*a**3 + 6/5*a**2. Determine r so that q(r) = 0.
-6
Let n(d) be the first derivative of 0*d**4 - 2*d**5 - 5/6*d**6 + 5/2*d**2 - 10 + 10/3*d**3 + 0*d. Factor n(a).
-5*a*(a - 1