 + 104*o - 179. Let n(k) = -k**3 + 21*k**2 - 104*k + 178. Let z(y) = 2*j(y) + 3*n(y). Solve z(x) = 0 for x.
4, 11
Factor -1278*v - 70185 - 133*v**2 + 206292 + 136*v**2.
3*(v - 213)**2
Let r be 19/3 + 70/105. Let u(y) be the third derivative of 0 - r*y**2 + 1/60*y**4 + 1/150*y**5 + 0*y**3 + 0*y. Solve u(n) = 0 for n.
-1, 0
Let o(f) = -34*f + 411. Let r be o(12). Let -5/4 - 1/4*s + 1/4*s**r + 5/4*s**2 = 0. Calculate s.
-5, -1, 1
Let n(y) be the first derivative of -21 + 0*y - 2/3*y**2 + 1/9*y**3. Factor n(m).
m*(m - 4)/3
Find d, given that 2/3*d**2 + 65/3*d + 32/3 = 0.
-32, -1/2
Let j(w) be the first derivative of 5*w**4/24 + 5*w**3/9 - 65*w**2/12 + 25*w/3 + 217. Factor j(r).
5*(r - 2)*(r - 1)*(r + 5)/6
Suppose 0 = -5*b - 5*z + 40, -7*b - 3*z - 4 = -11*b. Factor 12*i**4 + 5*i**3 - 8*i - 8*i**3 - 28*i**2 + 4*i**b + 23*i**3.
4*i*(i - 1)*(i + 2)*(4*i + 1)
Let d(o) = 2*o - 32. Let n be d(16). Let t be (-2)/3*3/(-5). Factor n - 2/5*y**3 - t*y + 3/5*y**4 - 7/5*y**2.
y*(y - 2)*(y + 1)*(3*y + 1)/5
Let u(v) be the second derivative of -v**6/70 - 3*v**5/35 + 19*v**4/14 - 30*v**3/7 + 81*v**2/14 + 4*v - 13. Suppose u(y) = 0. Calculate y.
-9, 1, 3
Let l = -7 + 10. Suppose -5*x - 15 = -35. Factor -m**4 + 2*m**3 - m**4 + 5*m**x + l*m**5 + 2*m**4.
m**3*(m + 1)*(3*m + 2)
Determine x, given that -31/2*x**2 - 65/2*x + 1/2*x**3 - 33/2 = 0.
-1, 33
Let p(s) be the first derivative of -s**9/5040 + 3*s**8/2800 - s**7/700 - s**3 - 1. Let q(o) be the third derivative of p(o). Let q(v) = 0. What is v?
0, 1, 2
Let g = 2849/4 - 712. Let -g*u**3 - 3/4*u**2 - 1/2*u + 0 = 0. What is u?
-2, -1, 0
Let l(d) be the third derivative of 9*d**2 + 0*d**3 + 1/240*d**6 + 0*d - 1/40*d**5 + 0 + 1/24*d**4. Find v such that l(v) = 0.
0, 1, 2
Let n be (90/21)/(6/28). Factor 4*m**2 + 12 - 4 + 8*m - n.
4*(m - 1)*(m + 3)
Let a(c) be the third derivative of -2*c**3 + 0 + 6*c**2 - 1/20*c**5 + 0*c - 5/8*c**4. Find g, given that a(g) = 0.
-4, -1
Let s = 335 - 335. Determine i so that -6/7*i**4 - 2/7*i**2 + s - 6/7*i**3 - 2/7*i**5 + 0*i = 0.
-1, 0
Let g(n) = -n**5 + n**4 + 1. Let d(v) = -21*v**5 - 66*v**4 + 33*v**3 + 81*v**2 - 15*v - 9. Let l(s) = d(s) - 3*g(s). Let l(f) = 0. What is f?
-4, -1, -1/3, 1/2, 1
Find b such that 0 + 36/11*b**2 - 2*b**3 + 0*b + 2/11*b**4 = 0.
0, 2, 9
Let j(q) = -681*q**3 - 2734*q**2 - 2692*q + 40. Let v(u) = -9535*u**3 - 38275*u**2 - 37690*u + 560. Let o(g) = -55*j(g) + 4*v(g). Factor o(x).
-5*(x + 2)**2*(137*x - 2)
Determine u, given that 1/4*u**2 + 625 - 25*u = 0.
50
Suppose -1388 = -44*f - 1300. Factor 64/5 + 196/5*z**f - 224/5*z.
4*(7*z - 4)**2/5
Let t = 45 - 179/4. Let g be (-8)/(-100) + ((-5434)/(-400))/13. Find u such that t*u**4 + 9/8*u**3 + 1/4 + g*u + 7/4*u**2 = 0.
-2, -1, -1/2
Let r(w) = 3*w**2 + w - 1. Let h be r(-2). Suppose 6*b = 3*b + h. Determine z so that 4 - 2*z - z + 3*z**2 + 0*z**2 - b - z**3 = 0.
1
Let n be (-16 - 2)*(98/21 - 5). Suppose -n*y + 4 = 3*z - 10*y, -z + 14 = 5*y. Suppose 10/3*g - 8/3*g**3 - 2/3*g**5 + 4/3*g**2 + 4/3 - 8/3*g**z = 0. What is g?
-2, -1, 1
Let l(u) = -14*u**2 - 84*u + 80. Let m(t) = -2*t**2 - t. Let b(c) = -l(c) + 6*m(c). Determine y so that b(y) = 0.
-40, 1
Let u(o) = o**3 - 9*o**2 + 2*o - 15. Suppose 9 = 4*y - 3*y. Let r be u(y). What is g in 9/2 + r*g + 1/2*g**2 = 0?
-3
Let y(n) be the third derivative of n**5/60 + 29*n**4/3 + 6728*n**3/3 + 212*n**2. Solve y(m) = 0.
-116
Let q be (-15888)/(-18) - 4/6. Let u be 6/3*(-115)/(-2). Find h such that -256*h**2 + 24*h + q*h**3 + 119*h**2 - 1029*h**4 - u*h**2 = 0.
0, 2/7
Factor 0 + 3*v**2 + 0*v + 1/2*v**5 + 4*v**4 + 13/2*v**3.
v**2*(v + 1)**2*(v + 6)/2
Let g(c) = -c**3 + c - 1. Let o(k) = -1318*k**3 - 4221*k**2 - 773*k - 31. Let b(j) = -5*g(j) - o(j). Factor b(q).
3*(q + 3)*(21*q + 2)**2
Suppose 4 = 4*v + x, -2*v + 4*x + 535 = 515. Let a = 7/5 - -1/10. Factor 9/2 - 3*q - a*q**v.
-3*(q - 1)*(q + 3)/2
Let k be 6 + (-3)/(-15)*-4 + (-856)/180. Solve 0 + k*s - 2/3*s**2 + 2/9*s**3 = 0.
0, 1, 2
Let j = 2/1087 + 23860/29349. Let w = j + 268/135. Solve -4/5*p + 0 - 16/5*p**3 + w*p**2 + 6/5*p**4 = 0.
0, 2/3, 1
Factor -41*w**5 + 814*w**4 + 31*w**5 - 112*w + 530*w**2 + 8 - 141*w**5 - 998*w**3 - 91*w**5.
-2*(w - 1)**3*(11*w - 2)**2
Let k = 5/177 + 142/1239. Factor 1/7*n**2 - 1/7 + k*n**3 - 1/7*n.
(n - 1)*(n + 1)**2/7
Let w(c) be the first derivative of c**7/2205 + c**6/1260 - 2*c**2 - 25. Let z(d) be the second derivative of w(d). Suppose z(s) = 0. What is s?
-1, 0
Suppose 1/3*o**2 + 0 + 2/3*o = 0. What is o?
-2, 0
Let r = 21 - 14. Let x be (6/4)/(r/84*9). Factor 0 + 1/2*h**x - 1/2*h**3 + 0*h.
-h**2*(h - 1)/2
Let b(k) be the second derivative of -12*k + 1/24*k**4 + 1/12*k**3 + 0*k**2 + 0. Suppose b(c) = 0. Calculate c.
-1, 0
Suppose -5*h + 3 = 28, -2*h - 22 = -3*b. Suppose -3*w + b = -8. Solve -4*a**2 + w*a**3 - 5*a**3 - 4*a**2 + 7*a**2 = 0 for a.
-1, 0
Let f(b) be the second derivative of -5*b**4/12 + 85*b**3/3 + 175*b**2/2 - 110*b + 1. Factor f(o).
-5*(o - 35)*(o + 1)
Suppose 2*d - 3*t = -4, 12 = 2*d - 3*t + 4*t. Let j(x) be the first derivative of -d + 1/3*x**3 - x**2 + 0*x. Factor j(g).
g*(g - 2)
Let t be (160/36)/(-10)*6/(-8). Factor -t - 2/3*g**2 + 3/2*g.
-(g - 2)*(4*g - 1)/6
Let p(r) = r**2 - r - 1. Let f(w) = -7*w**2 + 7*w + 8. Let x(a) = 5*f(a) + 30*p(a). Determine m, given that x(m) = 0.
-1, 2
Let w(v) be the second derivative of v**7/70 + 17*v**6/50 - 27*v**5/100 - 657*v**4/20 + 972*v**3/5 - 1944*v**2/5 - 322*v. Find d such that w(d) = 0.
-12, 1, 3
Let y(w) be the second derivative of -w**7/7560 + w**6/1080 + 2*w**4 - 19*w. Let g(o) be the third derivative of y(o). Determine r, given that g(r) = 0.
0, 2
Let f = -90 + 94. Factor 8*w**2 + 0 + 1/3*w**f + 3*w**3 + 16/3*w.
w*(w + 1)*(w + 4)**2/3
Let f(i) = -i**3 + 8*i**2 + 9*i + 2. Let h be f(9). Factor -10*q**3 + 23*q**3 - q**4 - 11*q**3 - q**h.
-q**2*(q - 1)**2
Suppose 676*x = 663*x + 26. Suppose 2/3 - 8/3*z**5 + 16/3*z**4 - 10/3*z**x + 2/3*z - 2/3*z**3 = 0. What is z?
-1/2, 1
Solve -4/7*t**2 + 1104/7*t - 76176/7 = 0 for t.
138
Let r(l) be the third derivative of l**5/20 - 9*l**4/8 - 56*l**3 - 429*l**2. Let r(m) = 0. Calculate m.
-7, 16
Let j be (-9)/(-6)*12/(-18). Let c = 1 - j. Solve 0*b**4 + b**4 - b**2 + 2*b**4 - c*b**4 = 0.
-1, 0, 1
Let f(z) be the first derivative of 15*z**6/8 - 35*z**4/16 + 5*z**3/6 - 95. Solve f(q) = 0.
-1, 0, 1/3, 2/3
Factor 3*d**2 - 15*d**4 + 24*d - 7 - 14 + 18*d**4 - 24*d**3 + 15*d**2.
3*(d - 7)*(d - 1)**2*(d + 1)
Let o(c) = 27*c**2 + 404*c - 13. Let m be o(-15). Let l be (-7)/(-3)*(-3)/(-2). Factor 1/4 - l*q + 49/4*q**m.
(7*q - 1)**2/4
What is q in -3/5*q**3 + 0*q + 0 + 1/5*q**2 = 0?
0, 1/3
Let q(r) be the third derivative of r**6/96 - 15*r**4/32 + 128*r**2. Let q(c) = 0. Calculate c.
-3, 0, 3
Let t(z) be the second derivative of z**5/480 - z**4/192 - z**3/24 - 39*z**2/2 - 45*z. Let q(c) be the first derivative of t(c). Factor q(y).
(y - 2)*(y + 1)/8
Suppose -38/5*v + 0 + 2/5*v**2 = 0. Calculate v.
0, 19
Let o(h) be the second derivative of -h**8/15680 - h**7/1176 - h**6/560 + 9*h**5/280 - 5*h**4/6 - 30*h. Let m(q) be the third derivative of o(q). Factor m(n).
-3*(n - 1)*(n + 3)**2/7
Let l(b) be the third derivative of -b**9/151200 - b**8/50400 + b**5/20 - 6*b**2. Let t(j) be the third derivative of l(j). Let t(o) = 0. Calculate o.
-1, 0
Let i be (78/1)/3 - -1. Suppose 0*t = 4*t + 4, -4*v - 5*t + i = 0. Factor -w**4 + v*w**3 + 2*w**4 - 5*w**3 + 2*w**2.
w**2*(w + 1)*(w + 2)
Let u be 140/15*-3*(0 + -1). Let p be 0 + -2 + 5 - 76/u. Factor p*c**5 + 0*c**2 + 0 + 0*c**3 + 0*c - 2/7*c**4.
2*c**4*(c - 1)/7
Let h(w) = -w - 9. Let n be h(-5). Let y be ((n/18)/(-2))/((-16)/(-96)). Find s, given that -y*s**3 + 2/3*s**2 + 0 + 0*s = 0.
0, 1
Factor -44/7 + 2/7*o**2 + 18/7*o.
2*(o - 2)*(o + 11)/7
Let m(a) be the first derivative of 3*a**5/100 - a**4/10 + a**3/10 - 7*a - 9. Let y(i) be the first derivative of m(i). What is t in y(t) = 0?
0, 1
Let w(x) be the second derivative of -x**4/8 - 23*x**3/4 + 18*x**2 - 589*x. Let w(a) = 0. Calculate a.
-24, 1
Suppose 3*h - 79 = -37. Let i(m) = -2*m**2 + 26*m + 32. Let z be i(h). Factor 2/13*s**5 + 2/13*s**z - 4/13*s**2 + 2/13*s + 2/13 - 4/13*s**3.
2*(s - 1)**2*(s + 1)**3/13
Let b = -41663/56 - -744. Let k(z) be the third derivative of 0*z + 1/420*z**5 + b*z**4 + 1/21*z**3 - 2*z**