the second derivative of 11*d + 7*d**3 + 1/12*d**4 + 441/2*d**2 - 4. Suppose m(w) = 0. Calculate w.
-21
Let r(o) be the third derivative of 52/3*o**3 + 51*o**2 + 11/6*o**4 + 0*o - 1 - 1/15*o**5. What is p in r(p) = 0?
-2, 13
Let o = 53771/4 - 13442. Determine y so that -1/8*y**5 + 5/4*y**2 + o*y**4 - 3/2*y**3 + 0 - 3/8*y = 0.
0, 1, 3
Let g(m) = 103*m**3 + 122*m**2 - 207*m + 2. Let o(j) = -52*j**3 - 60*j**2 + 104*j. Let t(z) = 2*g(z) + 5*o(z). Determine a, given that t(a) = 0.
-2, -1/27, 1
Suppose 3*v - 8*v - 3*m + 53 = 0, -3*m - 12 = 0. Let z = v - 9. What is t in z*t + 2*t**2 - 8 - 14*t + 4*t = 0?
-1, 4
Let m(f) be the first derivative of 5*f**4/4 - 1475*f**3 - 5*f**2/2 + 4425*f + 2859. Suppose m(s) = 0. Calculate s.
-1, 1, 885
Let s be 5*2*64/40. Solve -31*h**4 + s*h**4 + 16*h**4 + 16 - h**3 + 0*h**3 - 12*h**2 - 4*h = 0.
-2, 1, 4
Let u(h) be the first derivative of 147*h**6/40 - 21*h**5/10 + h**4/2 - 10*h**3/3 - h + 112. Let p(w) be the third derivative of u(w). Factor p(i).
3*(21*i - 2)**2
Let z(m) be the first derivative of m**5/35 + m**4/21 - 2*m**3/21 - 2*m**2/7 - 74*m + 87. Let y(o) be the first derivative of z(o). Factor y(j).
4*(j - 1)*(j + 1)**2/7
Let w(l) be the first derivative of -l**5/20 + 5*l**4/12 + l**3/3 - 12*l**2 - 95*l + 88. Let m(a) be the first derivative of w(a). What is h in m(h) = 0?
-2, 3, 4
Suppose 365*w - 926 = 75*w + 1684. Factor -12*d + 28/3*d**3 - w + 5/3*d**4 + 10*d**2.
(d - 1)*(d + 3)**2*(5*d + 3)/3
Let a = -61 + 65. Suppose -4*b - 2*p + 12 = 0, 12 = 2*b + 2*p - a*p. Find g such that 7*g - b*g**2 - 20*g**3 + 16*g**5 + g - 4*g**5 + 4*g**4 = 0.
-1, 0, 2/3, 1
Let j(b) be the third derivative of -1/270*b**6 + 1/270*b**5 + 1/945*b**7 - 44*b**2 + 0*b**4 + 0*b**3 + 0*b + 0. Factor j(r).
2*r**2*(r - 1)**2/9
Let k(p) be the first derivative of -p**3/3 - p**2 + 48*p - 7. Let w be k(-8). Factor 1/4*d**3 + 0*d**2 - 1/4*d + w.
d*(d - 1)*(d + 1)/4
Let b be (-4 + 6 - 2)/(-234 - -235). Factor 0*h - h**3 + b*h**2 + 0 + 5/6*h**4.
h**3*(5*h - 6)/6
Let n be 1/3 - (-11)/(-3)*-1. Let o(q) = q**2 - 30. Let d be o(-6). Factor 3*u**n + 45*u**2 - d*u**3 - 71*u + 98*u + 27*u**3.
3*u*(u + 1)*(u + 3)**2
Let t(d) be the second derivative of 5*d**7/147 - 2*d**6/15 - 83*d**5/70 - 38*d**4/21 - 4*d**3/7 - 3*d - 616. Solve t(c) = 0.
-2, -1, -1/5, 0, 6
Let -112/5*w - 58/5*w**2 + 1/5*w**4 + 11*w**3 + 0 = 0. What is w?
-56, -1, 0, 2
Let n(a) be the third derivative of a**6/280 - 7*a**5/20 - 25*a**4/28 + 703*a**2. Factor n(t).
3*t*(t - 50)*(t + 1)/7
Let l = -2532 - -2536. Let a(j) be the first derivative of 1/3*j**3 + 0*j**2 + 0*j + 4/5*j**5 + 14 - 5/4*j**l. What is v in a(v) = 0?
0, 1/4, 1
Let h be 164730/4590 - (-140)/(-4). Factor h*o - 2*o**2 + 0 - 11/9*o**3.
-o*(o + 2)*(11*o - 4)/9
Suppose -218 = -2*p + 4*c, 23*p - 24*p + 4*c = -109. Suppose 2*n + 103 = p. Determine o so that 3*o**2 + 1/2*o**n + 6*o + 4 = 0.
-2
Let j be 56/(-8) + 5 + 11136/5565. Let o = 1867/11130 - j. Let -1 - o*s**2 + 7/6*s = 0. What is s?
1, 6
Let q = 2700 + -2698. Let x(v) be the third derivative of -2/15*v**3 - 1/300*v**5 + 0*v + v**q - 1/30*v**4 + 0. Factor x(m).
-(m + 2)**2/5
Suppose 0 = -3*h + 4*f + 73 - 85, f - 58 = -13*h. Factor -2/7*w**h + 0*w + 0 - 12/7*w**2 + 2*w**3.
-2*w**2*(w - 6)*(w - 1)/7
Suppose 0 = -4*s - 5*m + 65, -2*s - 2*m + 11 + 21 = 0. Determine c, given that -48*c**3 - 4*c**4 + s + 52*c**2 - 15 + 0 = 0.
-13, 0, 1
Let f(g) be the second derivative of -g**6/180 + 13*g**5/120 + 19*g**4/72 - 73*g**3/36 + 7*g**2/2 + 175*g - 2. Factor f(i).
-(i - 14)*(i - 1)**2*(i + 3)/6
Let k be (-5719)/(-4515) - (204/40 - 5)*6. Let k*b**2 + 16*b + 96 = 0. Calculate b.
-12
Let b = -4024 + 4028. Let n(t) be the first derivative of -1/7*t**2 + 1 - 4/21*t**3 - 1/14*t**b + 0*t. Factor n(r).
-2*r*(r + 1)**2/7
Let g(m) be the third derivative of -1/1848*m**8 - 51*m**2 + 0*m + 0*m**3 + 1/660*m**6 + 0*m**4 + 2/1155*m**7 - 1/165*m**5 + 0. Let g(r) = 0. What is r?
-1, 0, 1, 2
Let v(i) be the first derivative of 2*i**4/5 + 16*i**3/5 + 9*i**2 + 54*i/5 + 2284. Suppose v(w) = 0. What is w?
-3, -3/2
Factor -11*q + 363/2 + 1/6*q**2.
(q - 33)**2/6
Let s = -16503 - -16538. Let j(y) be the first derivative of 0*y + 3/2*y**2 + s + 3/10*y**5 + 0*y**4 - 3/2*y**3. Factor j(o).
3*o*(o - 1)**2*(o + 2)/2
Let m(z) be the second derivative of z**6/5 - 41*z**5/24 + 401*z**4/72 - 74*z**3/9 + 13*z**2/3 - 652*z. Solve m(q) = 0 for q.
1/4, 13/9, 2
Let v(r) be the first derivative of -r**3/3 + r + 69. Let c(m) = -45*m**3 + 53*m**2 + 84*m - 14. Let a(i) = c(i) + 2*v(i). Factor a(u).
-3*(u - 2)*(u + 1)*(15*u - 2)
Let z(m) = m**3 - 7*m**2 + 12*m. Let n = 27 + -22. Let b be z(n). Factor 1068 + 5*t - 1068 + 5*t**3 - b*t**2.
5*t*(t - 1)**2
Factor 311*c**2 - 1/2*c**3 + 0 - 620*c.
-c*(c - 620)*(c - 2)/2
Let v(d) be the first derivative of -d**5 - 15*d**4/2 - 5*d**3/3 + 60*d**2 - 80*d - 4179. Solve v(w) = 0.
-4, 1
Suppose -238 + 202 = -12*c. Let r be (c/(-5))/((-165)/1100). Find w, given that 39*w**2 - 15/2*w - 75/2*w**3 + 6*w**r + 0 = 0.
0, 1/4, 1, 5
Let a = 419 + -419. Suppose a = -43*b + 25*b + 20*b. Factor b*p + 4/3*p**2 - 4/3*p**4 + 0 + 4/3*p**5 - 4/3*p**3.
4*p**2*(p - 1)**2*(p + 1)/3
Let k = -4944 + 24727/5. Let d(u) be the first derivative of 232/15*u**3 - 256/5*u**2 + 128/5*u + 27 - k*u**4. Factor d(t).
-4*(t - 4)**2*(7*t - 2)/5
Let s(r) be the first derivative of r**6/21 - 2*r**5/5 + 15*r**4/14 - 26*r**3/21 + 4*r**2/7 + 1673. Factor s(m).
2*m*(m - 4)*(m - 1)**3/7
Let v(s) = -s**3 + 17*s**2 - 67*s + 4. Let o be v(8). Let j be 2/1 + o/143*-5. Factor 6/13*w - 2/13*w**5 - 4/13*w**3 - 2/13 + j*w**4 - 4/13*w**2.
-2*(w - 1)**4*(w + 1)/13
Let n(w) = -w**2 + w - 1. Let k(y) = 6*y**2 + 9. Suppose 14 = -0*s - 4*s + 3*c, 2*c = 3*s + 11. Let o(z) = s*n(z) - k(z). Factor o(d).
-(d + 1)*(d + 4)
Let k = 682429/3 + -227475. Factor -1/3*f**2 - k - 4/3*f.
-(f + 2)**2/3
Suppose y - 4*z = 4*y - 4, -2*y + 3*z + 14 = 0. Factor -w**2 - 2*w**3 - 3*w**2 + 7*w**2 + 2*w - y + w**2.
-2*(w - 2)*(w - 1)*(w + 1)
Let w = -148 + 149. Suppose 0*c - f = 2*c - w, 5*f + 19 = 2*c. Factor 232*u**2 - 232*u**c + 2*u**3.
2*u**3
Let i(u) = -u**3 + 314*u**2 - 4199*u - 12. Let o be i(14). Factor -10/9*l + 2/9*l**o + 0.
2*l*(l - 5)/9
Let p be 2/(((-6)/(-60))/(((-185)/350)/(-37))). Let -2*q + 16/7 - p*q**2 = 0. Calculate q.
-8, 1
Let x(n) = -n**2 + 9*n + 6. Let q be x(9). Suppose -q*w = w. Determine t so that -4 + 1 + w*t**2 + 2*t**2 - 5 = 0.
-2, 2
Let g(j) be the first derivative of j**5/5 - j**4/2 - 11*j**3/3 + 6*j**2 - 936. Find o, given that g(o) = 0.
-3, 0, 1, 4
Let s(j) = 6*j**2 - 3057*j - 714. Let b(f) = f**2 + f + 3. Let o(d) = 18*b(d) - s(d). Solve o(q) = 0.
-256, -1/4
Let r(w) be the second derivative of 3*w**4/2 - 58*w**3/3 + 80*w**2 - 227*w. Let r(p) = 0. What is p?
2, 40/9
Let u(i) = 31*i**3 + 511*i**2 + 4281*i - 17443. Let n(m) = 8*m**3 + 128*m**2 + 1071*m - 4361. Let a(g) = -19*n(g) + 5*u(g). Suppose a(x) = 0. Calculate x.
-22, 3
Let r be -4 + 5 - ((-3 - -5) + -4). Let o be (r + -8)/15*0. Factor 0*i - 1/8*i**2 + o.
-i**2/8
Let m = -1735023/5 + 347013. Let 0*v + m*v**3 + 0*v**2 + 57/5*v**4 + 0 - 9/5*v**5 = 0. What is v?
-2/3, 0, 7
Let h = -46 - -64. Find g such that h*g + 4 - 6 - 14*g - 2*g**2 = 0.
1
Let d(p) = -7*p**2 + 4040*p + 1304175. Let v(x) = -2*x**2 + 998*x + 326044. Let w(f) = -6*d(f) + 22*v(f). Determine h, given that w(h) = 0.
-571
Let k be 9*(221/(-156))/(-17). Let x(q) be the first derivative of 20 - 12*q**3 - 15/2*q**2 + 6*q + 12/5*q**5 - k*q**4. What is b in x(b) = 0?
-1, 1/4, 2
Let h be -2 - (10/(-35) + 236/(-56)). Let v(j) be the first derivative of -11 - h*j**2 - 10*j + 5/3*j**3. Solve v(i) = 0 for i.
-1, 2
Let b(a) be the third derivative of a**5/20 + 9*a**4/8 + 10*a**3 - 2454*a**2 - 2. Factor b(x).
3*(x + 4)*(x + 5)
Let q(r) be the first derivative of -5*r**4/4 - 140*r**3/3 - 1015*r**2/2 - 880*r - 842. Factor q(d).
-5*(d + 1)*(d + 11)*(d + 16)
Factor 0*p + 14/5*p**3 - p**4 + 0 + 0*p**2.
-p**3*(5*p - 14)/5
Let f(w) be the third derivative of -19/3*w**4 + 29*w**2 - 1444/3*w**3 + 0*w - 1/30*w**5 + 0. Suppose f(m) = 0. Calculate m.
-38
Suppose -39*s + 3*s**2 - s**2 - 150 - 22*s - 87*s + 0*s**2 = 0. What is s?
-1, 75
Let u = -1444136/9 + 160460. Factor 8/9*n**4 - 10/9*n**3 + 0 + u*n**2 + 0*n - 2/9*n**5.
-2*n**2*(n - 2)*(n 