= 0.
-1, 0, 1
Let z(b) be the first derivative of -b**7/525 + b**6/150 + b**5/50 + 8*b**2 - 9. Let m(n) be the second derivative of z(n). Let m(p) = 0. Calculate p.
-1, 0, 3
Let i(g) be the second derivative of 3/2*g**2 + 1/330*g**5 + 0*g**3 - g - 1/33*g**4 + 0. Let w(n) be the first derivative of i(n). Factor w(y).
2*y*(y - 4)/11
Let m(d) be the second derivative of d**4/72 + 7*d**3/18 + 11*d**2/4 - 343*d. Determine n so that m(n) = 0.
-11, -3
Let q(x) be the third derivative of -x**8/504 + x**7/315 + x**6/20 - x**5/18 - 4*x**4/9 + 4*x**3/3 + 108*x**2. Suppose q(m) = 0. Calculate m.
-2, 1, 3
Suppose 20*l**2 - 8/3*l**3 + 38/3*l - 10*l**5 + 4/3 - 64/3*l**4 = 0. What is l?
-1, -2/15, 1
Let k(v) be the third derivative of 0*v**4 + 0*v + 1/45*v**5 - 1/360*v**6 + 0 + 50*v**2 + 0*v**3. Determine u, given that k(u) = 0.
0, 4
Let c(a) = 7*a**2 + 2 + 2*a**3 - 7 + 3 + 5*a - 1. Let i(z) = z**3 + 6*z**2 + 5*z - 4. Let f(s) = 4*c(s) - 3*i(s). Determine w so that f(w) = 0.
-1, 0
Let s(t) = -t**3 - 23*t**2 - 23*t - 20. Let p be s(-22). Let i(d) be the second derivative of -1/2*d**3 + 2*d + 9/4*d**p + 1/24*d**4 + 0. Solve i(h) = 0 for h.
3
Let l(j) = 5*j + 10. Let f(y) = -y - 1. Let b(h) = 4*f(h) + l(h). Let v be b(-4). Factor v + 0*d**2 - 4*d**2 - 2*d**2 + 4*d**2.
-2*(d - 1)*(d + 1)
Let d(y) be the first derivative of 0*y**4 + 0*y + 1/40*y**5 + 4/3*y**3 - 1/40*y**6 + 0*y**2 - 4. Let s(h) be the third derivative of d(h). Factor s(a).
-3*a*(3*a - 1)
Factor 1/2*i**2 - 6*i + 0.
i*(i - 12)/2
Let a be ((-1)/5)/(10/(60/(-9))). Let g(j) be the first derivative of -2/25*j**5 + 4/5*j - a*j**3 + 1 - 3/10*j**4 + 3/5*j**2. Determine i, given that g(i) = 0.
-2, -1, 1
Let q be ((-336)/700)/(3/(-20)). Let j(r) be the first derivative of -6/5*r**3 + 8/5*r + 4 - q*r**2. Let j(l) = 0. Calculate l.
-2, 2/9
Let j(m) = 15*m**3 + 3*m**2 + 39*m - 1. Let i(r) = -7*r**3 - 2*r**2 - 19*r. Let o(y) = 13*i(y) + 6*j(y). Solve o(x) = 0.
-6, -1
Suppose 12*v - 28 = 5*v. Factor -2*u**v + 2*u**3 + 0*u**2 + 4 + 4*u**4 - 2*u - 2*u**2 - 4*u**2.
2*(u - 1)**2*(u + 1)*(u + 2)
Factor -60*l**2 + 9 - 32 + 205*l + 173 + 115*l**2.
5*(l + 1)*(11*l + 30)
Suppose -4*w - 12 = -c - w, 5*c = -3*w - 12. Suppose -5*k + 2*p = -c*k - 40, 0 = 5*p + 25. Factor -6*h**2 - 1 + 5*h**2 + 4 - k*h + 4*h.
-(h - 1)*(h + 3)
Let s(b) be the third derivative of 0 + 1/16*b**4 - 1/240*b**5 + 0*b**3 + 0*b + 9*b**2. Factor s(l).
-l*(l - 6)/4
Let t(b) be the first derivative of 5*b**9/3024 - b**7/24 - b**6/12 + 8*b**3 + 14. Let p(a) be the third derivative of t(a). Let p(i) = 0. What is i?
-2, -1, 0, 3
Solve -10/3*l + 7/6 + 1/3*l**3 + 11/6*l**2 = 0 for l.
-7, 1/2, 1
Suppose 16*s - 86 = -6. Let d(z) be the third derivative of -10*z**2 + 2/5*z**3 + 0 - 7/100*z**s + 3/40*z**4 + 0*z. Factor d(v).
-3*(v - 1)*(7*v + 4)/5
Let p(t) be the third derivative of -t**6/24 - 5*t**5/12 + 5*t**4/2 + 30*t**3 + t**2 - 128*t. Find z such that p(z) = 0.
-6, -2, 3
Let b be (-5 - -4)/(2/4). Let g = b - -6. Let 2*d**g + 2*d**2 + 23*d**3 + 3*d**2 - 19*d**3 - 3*d**2 = 0. Calculate d.
-1, 0
Let -4*j**2 - 16*j**3 + 56*j + 7/2*j**4 - 40 + 1/2*j**5 = 0. Calculate j.
-10, -2, 1, 2
Let y(r) be the first derivative of 2/5*r + 20 - 1/5*r**4 + 0*r**5 + 1/30*r**6 + 3/10*r**2 - 2/15*r**3. Factor y(f).
(f - 2)*(f - 1)*(f + 1)**3/5
Suppose 0 = 3*v - 9, -4*v + 436 = 5*m - 1. Let 0 - 3*y**4 + 6*y**3 - 82*y**2 + m*y**2 + 0 - 6*y = 0. What is y?
-1, 0, 1, 2
Let m = 16 - 8. Let t be (-2)/m + 69/4. Factor -10*a**3 - 9*a**3 + t*a**3 - 8*a**2.
-2*a**2*(a + 4)
Let w(n) be the first derivative of -6 - 5/4*n**2 - 5/3*n**3 + 0*n - 5/8*n**4. Factor w(q).
-5*q*(q + 1)**2/2
Let x(r) be the third derivative of 0 + 9/280*r**6 + 27/56*r**4 + 27/140*r**5 + 0*r - 18*r**2 + 0*r**3 + 1/490*r**7. Find k such that x(k) = 0.
-3, 0
Let v(q) be the second derivative of 0 + 0*q**3 + 1/60*q**5 + 2/3*q**2 - 1/12*q**4 + 11*q. Factor v(c).
(c - 2)**2*(c + 1)/3
Let b(p) be the third derivative of -p**5/420 - 5*p**4/84 - 4*p**3/7 - 199*p**2. Factor b(i).
-(i + 4)*(i + 6)/7
Let l(h) = -h**2 - 23*h - 30. Let w be l(-21). Solve 29*p**2 - 14*p**2 + 2*p**3 - w*p**2 - p**3 = 0.
-3, 0
Solve -4*z**2 + 0*z - 2*z + 867*z**3 - 869*z**3 = 0 for z.
-1, 0
Let a be 0/(1/(1/(-2))) + -30. Let v be (-1 - -2)*(-24)/a. Let 2/5*l**2 + v*l + 2/5 = 0. Calculate l.
-1
Let a(j) be the third derivative of j**5/135 - 4*j**4/27 + 14*j**3/27 - 7*j**2 + j. Find l such that a(l) = 0.
1, 7
Let t be 2 - 2 - 12/((-3)/1). Determine u, given that -7*u**2 + 23*u**3 + u + 6*u**2 + u**t - 24*u**3 = 0.
-1, 0, 1
Let y(l) be the third derivative of -l**6/200 + 4*l**5/25 + 17*l**4/40 + 240*l**2. Factor y(d).
-3*d*(d - 17)*(d + 1)/5
Let n(h) = 2*h + 0 + 4 - 5 - 6*h. Let b be n(-1). Factor -b*y**3 + 13*y**3 + 2*y**3 - 3*y + 6*y + 15*y**2.
3*y*(y + 1)*(4*y + 1)
Suppose -24 = -2*l - l. Let r be 8/l*(2 + 0). Solve -4*g**r + 1 - 4*g**3 + 4*g**5 + 0 + 4*g**4 - 1 = 0 for g.
-1, 0, 1
Let o(m) be the third derivative of -m**8/80640 + m**7/10080 - m**5/360 - 17*m**4/24 - 19*m**2. Let a(x) be the second derivative of o(x). Solve a(i) = 0 for i.
-1, 2
Let -210*c**2 + 24*c**3 + 406*c**2 - c**4 + 5*c**4 + 6*c - 200*c**2 - 30*c = 0. What is c?
-6, -1, 0, 1
Let v(m) be the third derivative of -m**6/120 + m**5/20 - m**4/12 - 27*m**2. Factor v(g).
-g*(g - 2)*(g - 1)
Suppose -5 = l, -1 = 3*g + 4*l - 2*l. Solve 48*c - 68*c + 15*c**g + c**4 + 4*c**4 = 0 for c.
-2, 0, 1
Suppose 20 = 5*w - 4*d, 3*d - 20 = -5*w - 0*w. Let k(z) be the first derivative of 0*z**3 - 1/8*z**w + 0*z + 0*z**2 - 1. Determine i, given that k(i) = 0.
0
Let q(r) be the third derivative of r**6/80 - 3*r**5/20 - 15*r**4/16 - 2*r**3 + 13*r**2 + 4*r. Find h such that q(h) = 0.
-1, 8
Factor 5/4 + 9/4*q - 1/4*q**3 + 3/4*q**2.
-(q - 5)*(q + 1)**2/4
Let b(n) be the second derivative of -n**4/6 - 13*n**3/3 - 30*n**2 + 33*n. Factor b(v).
-2*(v + 3)*(v + 10)
Let d(m) be the third derivative of -m**5/12 + 5*m**4/3 - 35*m**3/6 - 114*m**2 - 2*m. Suppose d(y) = 0. What is y?
1, 7
Suppose -197*o + 183*o = 0. Let v(t) be the first derivative of -9 + 1/6*t**4 + o*t - 2/15*t**5 - 1/3*t**2 + 2/9*t**3. Factor v(d).
-2*d*(d - 1)**2*(d + 1)/3
Let r be 5*(-84)/16*(-18)/15. Find a, given that -33/2*a**2 - 15/2*a**5 - r*a**3 - 3*a + 0 - 51/2*a**4 = 0.
-1, -2/5, 0
Let l(w) = w**3 - 20*w**2 - 15*w + 2. Let t be l(21). Determine j, given that 7*j**5 + 122*j**3 + 42*j**4 + t - 288*j - 2*j**5 + 5*j**5 - 8*j**2 - 6*j**5 = 0.
-4, 1/2, 1
Let u(r) be the third derivative of r**6/200 + 3*r**5/100 - r**4/40 - 3*r**3/10 - 29*r**2 - 2*r. Factor u(f).
3*(f - 1)*(f + 1)*(f + 3)/5
Let q(g) be the third derivative of 0*g**5 - 10*g**2 - 1/80*g**6 + 1/2*g**3 + 3/16*g**4 + 0*g + 0. Determine b so that q(b) = 0.
-1, 2
Factor 22/9*y**4 + 0*y + 0*y**2 - 2/3*y**3 + 0 + 8/9*y**5.
2*y**3*(y + 3)*(4*y - 1)/9
Let i = 75 + 170. Factor 55*x**2 + 241*x**3 + 20 + i*x**5 - 80*x + 94*x**3 - 170*x**2 + 595*x**4.
5*(x + 1)**3*(7*x - 2)**2
Let k(x) be the first derivative of 0*x + 2/15*x**5 - 17 + 2/3*x**2 - 2/3*x**3 + 0*x**4. Factor k(g).
2*g*(g - 1)**2*(g + 2)/3
Let r(p) be the third derivative of -p**9/211680 - p**8/17640 - p**7/5880 + 11*p**5/60 + 9*p**2. Let q(k) be the third derivative of r(k). Factor q(x).
-2*x*(x + 1)*(x + 3)/7
Suppose -15*h + h + 700 = 0. Factor -h*y + 17*y + 39 - 6*y**2 - 54.
-3*(y + 5)*(2*y + 1)
Let b(c) be the first derivative of 5*c**3/3 + 65*c**2/2 + 60*c - 70. Let b(i) = 0. Calculate i.
-12, -1
Let j(b) be the third derivative of -b**6/180 - b**5/18 + 8*b**4/9 - 4*b**3 - 32*b**2. Find s such that j(s) = 0.
-9, 2
Let j(k) be the third derivative of 1/224*k**8 + 0 + 0*k**5 + 1/16*k**4 - 1/40*k**6 - 10*k**2 + 0*k + 0*k**3 + 0*k**7. Solve j(a) = 0 for a.
-1, 0, 1
Factor 26*i**4 - 5*i**4 + 6*i**2 - 57*i**3 - 48*i - 3*i**5 - 3 + 90*i**2 + 15 - 21*i**2.
-3*(i - 2)**2*(i - 1)**3
Suppose -2*v - 4*h + 13 + 1 = 0, -h = 4*v - 14. Let n(b) be the second derivative of 0 + 3/14*b**4 + b + 1/7*b**2 - 2/35*b**5 - 2/7*b**v. What is f in n(f) = 0?
1/4, 1
Let a(p) be the first derivative of 35/4*p**4 + 0*p + 10/3*p**3 - 2 - 9*p**5 + 0*p**2. Find b such that a(b) = 0.
-2/9, 0, 1
Let h(w) be the third derivative of -w**5/120 + 31*w**4/24 - 961*w**3/12 + 6*w**2 + 2*w. Factor h(u).
-(u - 31)**2/2
Let w = 31105/3 - 10368. Determine p so that 2/3*p