h**4/8 - 19*h**2. Let s(u) be the second derivative of p(u). Factor s(r).
-(r - 2)**2/4
Factor -70*k**3 - 24*k**2 - 99*k - 98*k**3 + 171*k**3.
3*k*(k - 11)*(k + 3)
Let j = -4 - -4. Let d be 2/(5/(100/24)) + j. Factor -l**3 + d*l**2 + 0 - 2/3*l.
-l*(l - 1)*(3*l - 2)/3
Let k(n) be the third derivative of n**7/735 + 2*n**6/105 + 13*n**5/210 + n**4/14 + 89*n**2. Factor k(y).
2*y*(y + 1)**2*(y + 6)/7
Let s(v) be the first derivative of -v**4/12 - v**3/2 + 14*v - 10. Let a(k) be the first derivative of s(k). Factor a(q).
-q*(q + 3)
Let b = -7/1902 - -641/1902. Factor b*i**2 + i**3 + 1/3*i**4 - 2/3 - i.
(i - 1)*(i + 1)**2*(i + 2)/3
Suppose 35*z - 20*z - 30 = 0. Let b(y) be the third derivative of -4*y**z + 0*y - 1/220*y**6 + 0*y**3 + 0 + 1/330*y**5 + 0*y**4. Solve b(t) = 0 for t.
0, 1/3
Let t(m) = 7*m**3 - 11*m**2 - 56*m + 2. Let n(g) = -15*g**3 + 25*g**2 + 110*g - 5. Let q(v) = -2*n(v) - 5*t(v). Let q(f) = 0. What is f?
-3, 0, 4
Factor 4*j**3 + 4*j**2 + j**4 + 7027*j - 7027*j.
j**2*(j + 2)**2
Solve 5/3*x**4 - 10*x**3 + 10*x - 25/3 + 20/3*x**2 = 0.
-1, 1, 5
Let u be ((-6)/(-8))/((-146)/(-16) + -9). Let p(f) be the first derivative of -5 - u*f - 9/4*f**4 + 8*f**3 - 9/2*f**2. Factor p(b).
-3*(b - 2)*(b - 1)*(3*b + 1)
Let m(d) be the third derivative of -1/1020*d**6 - 2/1785*d**7 + 0*d**4 + 0*d**3 + 0*d + 0*d**5 + 0 - 16*d**2 - 1/2856*d**8. Factor m(f).
-2*f**3*(f + 1)**2/17
Let k(s) be the first derivative of 3*s**5/5 + 105*s**4/8 + 105*s**3/2 + 75*s**2 + 42*s - 158. Determine j, given that k(j) = 0.
-14, -2, -1, -1/2
Let x = 3 - 1. Suppose 0 = u + 2 - 1, -5*u - 9 = -x*g. Factor 0 + 4/9*r**3 + 0*r - 2/9*r**g - 2/9*r**4.
-2*r**2*(r - 1)**2/9
Let r(w) = 2*w. Let y be r(-2). Let z be 2/y + (-163)/(-2). Solve z*c + 14*c**3 - 13*c**2 - 81 - 11*c**3 - 10*c**2 - 4*c**2 = 0.
3
Let w(h) = 24*h**3 + 52*h**2 + 48*h + 16. Let m(q) = -35*q + 15*q + 20*q + q**4. Let u(b) = -4*m(b) - w(b). Factor u(c).
-4*(c + 1)**2*(c + 2)**2
Let l be ((-1)/((-22)/(-2)))/((-45)/165). Factor l*i**2 + 2/3 - i.
(i - 2)*(i - 1)/3
Let g be ((-140)/15)/7*-21. Let h be 38/14 - (-8)/g. Determine x so that 9*x**4 + 28 - 6*x**5 - 16 - 3*x**h - 12 = 0.
0, 1/2, 1
Let y = -9 + 29. Suppose -5*l**2 - 5 - 1 - 9 - y*l = 0. Calculate l.
-3, -1
Let 3/7*c**2 - 3/7*c**3 + 48/7*c + 60/7 = 0. What is c?
-2, 5
Factor 17/11*q + 1/11*q**2 - 18/11.
(q - 1)*(q + 18)/11
Let h(m) = -3*m**3 - m**2 + 6. Suppose -5*t + 7 = 2*t. Let k(l) = -l**3 + l**2 + l + 1. Let y(z) = t*h(z) - 6*k(z). Find j, given that y(j) = 0.
-2/3, 0, 3
Let b(a) be the first derivative of -a**6/54 - 4*a**5/15 - 47*a**4/36 - 20*a**3/9 + 470. Solve b(r) = 0 for r.
-5, -4, -3, 0
Suppose -3*p = 4*l + 2, 4*p = -3*l - 1 + 3. Let z be 5 - 5/(5/p). Let -2/7*g - 4/7*g**2 + 0 + 4/7*g**4 + 2/7*g**5 + 0*g**z = 0. What is g?
-1, 0, 1
Suppose 2*z - 21 = -5*g + z, 2*g + 5*z - 13 = 0. Factor a**5 - 4*a - 36*a**3 + 19*a**g + 9*a**4 + 20*a**2 - 9*a**5.
-4*a*(a - 1)**3*(2*a - 1)
Let c(z) be the second derivative of -z**4/6 - 2*z**3/3 + 8*z**2 - 160*z. Find i, given that c(i) = 0.
-4, 2
Let x = 3898 + -31175/8. Let -x*h**4 + 3/8*h**5 + 0 + 9/8*h**2 - 3/4*h + 3/8*h**3 = 0. Calculate h.
-1, 0, 1, 2
Let n(p) be the second derivative of -3*p**7/35 - p**6/5 - 2*p**5/15 - 5*p**2 + 27*p. Let y(r) be the first derivative of n(r). Factor y(b).
-2*b**2*(3*b + 2)**2
Let c(u) be the second derivative of -17*u + 0*u**2 - 2/5*u**3 + 3/10*u**4 + 0. Solve c(r) = 0 for r.
0, 2/3
Factor -12/11*k**2 + 30/11*k - 2/11*k**3 - 16/11.
-2*(k - 1)**2*(k + 8)/11
Let r(f) = -2*f**2 - f + 1. Let v(y) = -8*y**4 - 14*y**3 + 88*y**2 - 6*y - 10. Let m(b) = 10*r(b) + v(b). Factor m(p).
-2*p*(p - 2)*(p + 4)*(4*p - 1)
Suppose 2*c = c - 2*r, 0 = r. Let o be (20/(-35) - (-58)/77) + c. Factor 4/11*w - 2/11*w**3 + 0 + o*w**2.
-2*w*(w - 2)*(w + 1)/11
Let j be (-8)/44 - (-862)/22. Solve 35*f**2 + 0*f - j*f**2 + 4*f = 0.
0, 1
Suppose -215*w - 16 = -217*w + 2*u, 24 = 5*w - u. Find j such that 0*j + 16/5*j**2 + 4/5*j**5 + 32/5*j**3 + 0 + 4*j**w = 0.
-2, -1, 0
Let f = 40/1237 + 4748/6185. Suppose -4/5*a + f*a**3 + 0 + 2*a**2 - 2*a**4 = 0. What is a?
-1, 0, 2/5, 1
Let j be ((-28)/10)/2 - 17/(323/(-57)). Let 56/5*b**4 - 122/5*b**3 - 18/5*b - j*b**5 + 0 + 84/5*b**2 = 0. What is b?
0, 1/2, 3
Let j = -2/1021 - -1035/7147. Let q(d) be the first derivative of 3/7*d**2 + j*d**3 + 0*d - 9/35*d**5 - 3/7*d**4 - 1. Solve q(y) = 0 for y.
-1, 0, 2/3
Let j be (-1 - (-903)/45) + (-12)/30. Let f = -374/21 + j. Find z, given that f*z**2 - 6/7*z**3 - 2/7*z + 0 + 2/7*z**4 = 0.
0, 1
Let j(t) = -60*t**2 + 405*t. Let g(s) = 7*s**2 - 45*s. Let o(v) = -35*g(v) - 4*j(v). Factor o(a).
-5*a*(a + 9)
Suppose -10*t + o + 7 = -7*t, -2*o = t. Solve -5*v**t - 25/4*v + 15/2 = 0 for v.
-2, 3/4
Let a = -40 + 41. Solve -6 + 6*u - a - 2*u**2 + 4 - 1 = 0 for u.
1, 2
Factor 9/2*p**2 - 1/4*p**3 - 71/4*p - 45/2.
-(p - 10)*(p - 9)*(p + 1)/4
Let c(r) be the first derivative of r**6/90 + r**5/15 + 17*r**2/2 - 12. Let f(k) be the second derivative of c(k). Factor f(i).
4*i**2*(i + 3)/3
Let x be (-22)/(-2*(4 + -3)). Determine g, given that 12*g + 52*g**2 + 20*g**3 + 6*g - 5 - 2*g - x = 0.
-2, -1, 2/5
Let t(d) be the first derivative of -d**4/4 + d**3 + 3*d**2/2 - 2*d - 5. Let b be t(3). Factor -1 - b + 3*z - 4*z - 2*z**2 + 9*z.
-2*(z - 2)**2
Let p(g) be the third derivative of -2*g**7/735 - g**6/30 - 2*g**5/35 + g**2 - 86. Factor p(o).
-4*o**2*(o + 1)*(o + 6)/7
Factor -4*x**3 - 48*x**2 - 130 - 166*x + 51*x - 112*x - 70 + 47*x.
-4*(x + 2)*(x + 5)**2
Let a(t) be the first derivative of -2*t**5/5 + 4*t**4 - 10*t**3/3 - 14*t**2 - 223. Factor a(l).
-2*l*(l - 7)*(l - 2)*(l + 1)
Let f(t) = -80*t**2 - 25975*t - 1243940. Let z(a) = 3*a**2 + 962*a + 46072. Let l(s) = 2*f(s) + 55*z(s). Factor l(k).
5*(k + 96)**2
Let f(m) be the first derivative of m**4/8 - m**3/2 - m**2/4 + 3*m/2 + 465. Factor f(y).
(y - 3)*(y - 1)*(y + 1)/2
Let d(y) be the second derivative of 0 - 3*y + 1/90*y**4 + 0*y**3 + 0*y**2 + 1/150*y**5. Let d(o) = 0. Calculate o.
-1, 0
Let o = 22 + -17. Let m be ((-40)/25)/((-2)/o). Factor 8*p**3 + 8*p**3 + 4*p**5 - 3*p**m - 13*p**4.
4*p**3*(p - 2)**2
Let i be (0 - (-25)/(-5))*22/(-165). Determine q, given that -2/3*q**3 + 0 + 0*q**2 + i*q = 0.
-1, 0, 1
Let w(z) = -4*z**4 - z**3 + 10*z**2 - 3*z. Let a(s) = 8042*s**4 - s**3 - s + 2*s**2 - s**2 - 8043*s**4. Let b(o) = -5*a(o) + w(o). Suppose b(i) = 0. What is i?
-2, -1, 0
Let j be -2 + 101 - (-5 + 8). Let i = -191/2 + j. Let 0*w**2 + i*w + 0 - 1/2*w**3 = 0. Calculate w.
-1, 0, 1
Let l be (-8)/(-52) - (-3)/((-585)/(-282)). Determine n, given that -l + 8/5*n**2 - 4/5*n + 4/5*n**3 = 0.
-2, -1, 1
Let k be ((-12)/(-5))/(168/80). Let o be (-3)/(-14)*(20/15)/1. Find f, given that 10/7*f - 4/7 + o*f**3 - k*f**2 = 0.
1, 2
Let o = -113 - -123. Suppose -4 = q - 4*q - c, o = -5*c. Determine p, given that 6/5*p + 2/5*p**q - 8/5 = 0.
-4, 1
Let x be (-15)/6 + 7 - 1/2. Let v be x/6 + (-35)/21 - -1. Suppose v + 2/9*d**3 + 4/9*d - 2/3*d**2 = 0. What is d?
0, 1, 2
Let l(i) = -i**2 - 5*i + 2. Let c be l(-5). Let h be (-4)/50 - (-37544)/160550. Factor 2/13 + h*f**c + 4/13*f.
2*(f + 1)**2/13
Let i(f) = 12*f**4 - 57*f**3 - 198*f**2 - 222*f - 75. Let b(j) = -5*j**4 + 29*j**3 + 99*j**2 + 111*j + 38. Let d(y) = 9*b(y) + 4*i(y). Factor d(m).
3*(m + 1)**2*(m + 2)*(m + 7)
Let b = 230 - 227. Let f(h) be the second derivative of 0*h**b - h - 1/10*h**5 + 0 - 1/6*h**4 + 0*h**2. Suppose f(n) = 0. What is n?
-1, 0
Let t(o) be the first derivative of -5*o**6/6 - 21*o**5 - 210*o**4 - 3140*o**3/3 - 2640*o**2 - 2880*o + 443. Suppose t(a) = 0. Calculate a.
-6, -4, -1
Let t = -8 + 14. Let x(q) be the first derivative of 0*q + 1/16*q**4 + 3 + 0*q**2 + 1/24*q**t + 0*q**3 + 1/10*q**5. Solve x(o) = 0 for o.
-1, 0
Suppose -20*i - 13 = -25*i + f, -5*i + 5 = -5*f. What is p in -1/3*p**i - 7/3*p - 1 - 5/3*p**2 = 0?
-3, -1
Suppose 99 = -0*i + 3*i. Let x(d) = 6*d**4 - 26*d**3 - 21*d**2 - 11. Let m(h) = h**4 - 5*h**3 - 4*h**2 - 2. Let s(j) = i*m(j) - 6*x(j). Factor s(u).
-3*u**2*(u + 1)*(u + 2)
Suppose -5*h + 8 = -2. Factor 10*d**3 + 41*d**2 - 15*d - 48*d**h + 5*d**5 + 27*d**2 - 20*d**4.
5*d*(d - 3)*(d - 1)**2*(d + 1)
Factor -11/3*t + 10/3 + 1/3*t**2.
(t - 10)*(t - 1)/3
Suppose c = 4*c + 5*r - 4, 5*r = 5*c - 20. Let m(t) be the first derivative of -20/3