5/140 + 13*d**4/84 - 8*d**3/7 + 18*d**2/7 - 194*d. Factor v(c).
-(c - 6)**2*(c - 1)/7
Let x be 6/(-45)*-18*(-3 + 23). Let o be (30/10)/(20/x). Solve 0 + o*y**3 - 36/5*y**4 - 16/5*y + 16/5*y**2 = 0 for y.
-2/3, 0, 2/3, 1
Let a(c) be the first derivative of 1/3*c**3 - 1/25*c**5 + 0*c + 1/5*c**2 + 3/20*c**4 + 34 - 1/30*c**6. Factor a(l).
-l*(l - 2)*(l + 1)**3/5
Let a(w) = 32*w**3 + 12*w**2 + 8*w + 4. Let f(k) = -35*k**3 - 11*k**2 - 10*k - 5. Let x(s) = 5*a(s) + 4*f(s). Determine r, given that x(r) = 0.
-4/5, 0
Let r be ((-120)/(-225))/(4/30). Let o(q) be the first derivative of 0*q**2 + 3/5*q**5 - 2*q**3 + 0*q - 3/4*q**r + 10. Factor o(g).
3*g**2*(g - 2)*(g + 1)
Let r(j) be the first derivative of 1/6*j**6 + 228*j**2 - 27/5*j**5 + 22 - 505/3*j**3 + 219/4*j**4 - 144*j. Factor r(c).
(c - 12)**2*(c - 1)**3
Let p(c) be the first derivative of 16/5*c - 43 - 38/5*c**2 + 6/5*c**3. Let p(u) = 0. What is u?
2/9, 4
Let u(v) be the first derivative of -v**7/420 + v**6/45 - v**5/12 + v**4/6 + 2*v**3/3 + 2*v - 115. Let t(b) be the third derivative of u(b). Factor t(a).
-2*(a - 2)*(a - 1)**2
Let w(g) be the third derivative of -g**7/315 - 19*g**6/180 + 2*g**5/9 + 8*g**2 - 58. Factor w(h).
-2*h**2*(h - 1)*(h + 20)/3
Factor -1600 + 2/3*l**2 - 950/3*l.
2*(l - 480)*(l + 5)/3
Let y(v) be the first derivative of 3*v**5/20 - 4*v**4 + 45*v**3/2 + 243*v**2 + 10*v + 29. Let f(d) be the first derivative of y(d). Let f(h) = 0. What is h?
-2, 9
Let w(g) = 2*g**2 - 4*g - 9. Let v(j) = 8*j**2 + 56*j - 249. Let p(x) = 2*v(x) - 6*w(x). Factor p(n).
4*(n - 3)*(n + 37)
Let t(u) be the first derivative of 3*u**2 + 0*u - 5/3*u**3 - 1/4*u**4 - 81. Solve t(x) = 0.
-6, 0, 1
Factor 0 + 2/5*r**4 - 32/5*r - 2*r**3 - 44/5*r**2.
2*r*(r - 8)*(r + 1)*(r + 2)/5
Suppose -18*z + 69 = -3. What is l in 3 + 230*l - 7 + z*l**4 - 216*l - 16*l**2 - 2*l**5 + 4*l**3 = 0?
-2, 1
Let o(z) be the second derivative of -z**7/168 - 47*z**6/6 - 147423*z**5/40 - 7739551*z**4/12 - 30664297*z**3/24 - 3280*z. What is a in o(a) = 0?
-313, -1, 0
Let j(c) be the first derivative of -3*c**4/8 - 19*c**3/2 + 645*c**2/2 + 672*c - 8974. Solve j(w) = 0.
-32, -1, 14
Solve 0 + 203/6*c - 1/6*c**3 + 101/3*c**2 = 0 for c.
-1, 0, 203
Let i be (-16)/28*(20 - 27). Suppose i*t - 4*d = 0, 2*t + 0*t - 8 = -2*d. Suppose 23*a**3 + 9/2*a**2 - 8*a - 35/2*a**4 - t = 0. Calculate a.
-2/5, -2/7, 1
Suppose 8233/4*f**2 + 27556 + 87/2*f**3 + 14442*f + 1/4*f**4 = 0. Calculate f.
-83, -4
Let i(z) be the second derivative of -z**5/4 - 55*z**4/12 + 20*z**3 + 360*z**2 - 1433*z. What is l in i(l) = 0?
-12, -3, 4
Let d(u) be the second derivative of -u**3 - 3/2*u**2 - 1/4*u**4 - 17 - 2*u. Find f, given that d(f) = 0.
-1
Let y = 7211 + -7211. Let q(d) be the third derivative of 0*d**5 - 1/140*d**7 - 5/672*d**8 + 1/120*d**6 + y*d - 16*d**2 + 0*d**4 + 0*d**3 + 0. Factor q(i).
-i**3*(i + 1)*(5*i - 2)/2
Let h be -10 - (-548)/28 - (-4)/(-7). Suppose -h*p = -6214 + 6178. Factor 2*i**3 + 0 - 14/5*i**2 + 6/5*i - 2/5*i**p.
-2*i*(i - 3)*(i - 1)**2/5
Suppose -117*t + 338 = 20*t + 32*t. Let y(j) be the second derivative of -24*j + 0 - 1/6*j**4 - 1/3*j**3 + 0*j**t. Factor y(w).
-2*w*(w + 1)
Suppose 3*c + 160 = 172. Let j**c - 8*j**3 + 112*j**2 + 11*j**3 - 110*j**2 = 0. What is j?
-2, -1, 0
Let m(f) be the second derivative of f**7/21 + f**6/3 - 12*f**5/5 - 28*f**4/3 + 272*f**3/3 - 240*f**2 + 521*f. Determine t so that m(t) = 0.
-6, -5, 2
Let v(c) be the third derivative of c**8/1512 - 4*c**7/315 - 79*c**6/540 - 53*c**5/135 + 5*c**4/9 + 136*c**3/27 + 642*c**2. Suppose v(t) = 0. Calculate t.
-2, 1, 17
Let r(g) be the first derivative of -g**6/15 - 18*g**5/25 - 29*g**4/10 - 26*g**3/5 - 18*g**2/5 - 460. Determine t, given that r(t) = 0.
-3, -2, -1, 0
Let f be 4/(-1) + 79340/11901. Determine p, given that 8/3*p**2 - 4/3*p**5 + 4/3*p**3 + 0*p + 0 - f*p**4 = 0.
-2, -1, 0, 1
Let u = -510037 + 1020079/2. Find y, given that 25/2*y + 10*y**2 - u*y**3 + 0 = 0.
-1, 0, 5
Suppose -4*p + 60 = p. Let s be (3*p/14)/((-6)/(-42)). Factor -x + s*x**2 + 0*x - 3*x**3 + 0*x**3 - 14*x.
-3*x*(x - 5)*(x - 1)
Let s = 11/5 - 1/30. Let l(n) = -n**3 + 5*n**2 - 6*n + 10. Let x be l(4). Find b, given that 2/3*b**3 - 13/6*b + 2/3 - s*b**x = 0.
-1, 1/4, 4
Let n(b) = -b**2 - 74*b - 89. Let d(k) = -2*k**2 + 23*k - 1. Let z(s) = -d(s) - n(s). Find x, given that z(x) = 0.
-15, -2
Let k(g) = -10*g**2 - 1. Let d(o) = -o**3 - 481*o**2 - 3400*o - 6773. Let i(h) = -d(h) + 5*k(h). Factor i(l).
(l + 4)**2*(l + 423)
Let m be (-5 - -2)/(-3 - -2). Suppose -3*f**4 + 0*f**4 + 13*f**2 + 12890*f**3 - 12894*f**m - 6*f = 0. What is f?
-3, 0, 2/3, 1
Let q(h) be the second derivative of -3*h**5/160 + 3*h**4/4 - 23*h**3/16 - 621*h - 7. Let q(f) = 0. Calculate f.
0, 1, 23
Find x such that 58*x**4 - 470*x**2 + 95*x**4 + 87*x**4 + 225*x**3 + 5*x**5 = 0.
-47, -2, 0, 1
Suppose -137*z + 83*z = 46*z - 200. Let l be (-3)/(-12) - (-2)/(-8). Factor 3/7*r**z + 0 + l*r + 1/7*r**4 - 4/7*r**3.
r**2*(r - 3)*(r - 1)/7
Determine w, given that -58*w**2 - 80*w**3 - 280 + 55 - 52*w**2 + 720*w + 0*w**4 - 166*w**4 + 181*w**4 = 0.
-3, 1/3, 3, 5
Solve 48/5 - 28/5*y**2 + 16/5*y + 4/5*y**3 = 0 for y.
-1, 2, 6
Let r(w) = -3*w**2 - 38*w + 12. Let d be r(-13). Let q be (-352)/(-33)*d/(-2). Let 0 + 4/3*s**2 + 2*s**3 - q*s**4 + 0*s + 2*s**5 = 0. What is s?
-1/3, 0, 1, 2
Let g(h) be the first derivative of -h**5/20 + 5*h**4/4 - 53*h**3/12 + 17*h**2/4 - 1179. Determine m, given that g(m) = 0.
0, 1, 2, 17
Let q(u) be the first derivative of -u**6/360 + u**5/20 - u**4/9 + 37*u**2/2 - u - 53. Let g(k) be the second derivative of q(k). Find z, given that g(z) = 0.
0, 1, 8
Let y(d) = 94*d**4 + 145*d**3 - 899*d**2 + 1295*d - 536. Let z(o) = 34*o**4 + 48*o**3 - 300*o**2 + 432*o - 178. Let t(i) = 4*y(i) - 11*z(i). Factor t(w).
2*(w - 3)*(w - 1)**2*(w + 31)
Suppose -1786*l - 4506*l - 3305*l**2 - 15*l**3 + 3358*l + 10*l**3 - 3661*l - 3295 = 0. Calculate l.
-659, -1
Let j be (56/42)/((-7)/((-63)/4)). Let d(m) be the first derivative of 1/27*m**j - 13 + 0*m + 1/9*m**2. Let d(c) = 0. Calculate c.
-2, 0
Factor -1761/7 - 1758/7*l + 3/7*l**2.
3*(l - 587)*(l + 1)/7
Let g = 10882 + -10880. Solve 1/2*y**g - 9/2 + 4*y = 0.
-9, 1
Let a(s) = -5*s - 8. Let i be a(-2). Let u be 12 - 7 - (i + -1). Factor 27 + 6*g**4 - 7*g**2 - 5*g**4 - 2*g**3 - 27 - u*g.
g*(g - 4)*(g + 1)**2
Suppose 0 = 5*p + 3*g - 11, 3*p - 2*g + 22 = 40. Let -96 + 96 + d**5 - 20*d**2 + 96*d**3 + 7*d**4 - 20*d**p - 64*d**3 = 0. Calculate d.
0, 1, 2, 10
Let j(v) be the second derivative of -v**4/24 + 1451*v**3/6 - 2105401*v**2/4 - 4681*v. Factor j(x).
-(x - 1451)**2/2
Let b = 28 + -25. Suppose 96*d - 196*d = -81*d - 76. Factor 0 + 3*y**2 - 3/2*y**b - 3/4*y**d + 6*y.
-3*y*(y - 2)*(y + 2)**2/4
Let r(h) be the first derivative of -h**3/3 - 10*h**2 - 3*h - 16. Let b be r(-15). Factor -3*z**4 - 32 + z**4 - 28*z**3 - z**4 - 80*z - z**4 - b*z**2.
-4*(z + 1)*(z + 2)**3
Factor -827 + 396 - 4*m**2 - 70*m - 18*m**2 - m**3 - m**3 + 381.
-2*(m + 1)*(m + 5)**2
Let t(w) = -18*w - 198. Let p(b) = -18*b - 204. Let n(v) = 5*p(v) - 6*t(v). Let f be n(-9). Factor -f*y**2 - 51/8*y + 9/4 + 21/8*y**3.
3*(y - 3)*(y + 1)*(7*y - 2)/8
Factor -120414*z**2 + 92*z + 120422*z**2 + 2*z**3 - 240 - 6*z**3.
-4*(z - 4)*(z - 3)*(z + 5)
What is h in -44*h - 7*h**3 - 78*h**2 - 521*h**4 + 80 + 519*h**4 + 51*h**3 = 0?
-1, 1, 2, 20
Let g(u) be the first derivative of 117*u**4 + 678*u**3 + 325*u**2 + 8*u + 232. Factor g(b).
2*(b + 4)*(3*b + 1)*(78*b + 1)
Let n(s) = 10. Let y(m) = 4*m**2 - 4*m + 72. Let b(r) = 8*n(r) - y(r). Solve b(f) = 0 for f.
-1, 2
Let x be 12 - ((-32)/40 + 2159/170). Factor 0 - 2/5*z**2 - 3/10*z - x*z**3.
-z*(z + 1)*(z + 3)/10
Suppose -5*f = z - 43, 39 = 3*f + 3*z + 2*z. Factor -18*o**2 - 3*o**2 + 9*o - f + 20*o**2.
-(o - 8)*(o - 1)
Let c(k) be the second derivative of -5*k**7/42 - 21*k**6/2 + 201*k**5/4 + 935*k**4/12 - 600*k**3 + 990*k**2 + 532*k - 4. Find v such that c(v) = 0.
-66, -2, 1, 3
Let n(b) be the third derivative of b**6/180 - 187*b**5/18 + 1867*b**4/36 - 311*b**3/3 + 399*b**2 - 2*b - 2. Factor n(t).
2*(t - 933)*(t - 1)**2/3
Suppose -62 = -l - 40. Suppose -7*i = -3*i - 4, 4*i - l = -3*s. Factor 5 - r**4 + 9*r**2 - s*r**3 - 5*r**4 + 3*r**4 + 24*r + 7.
-3*(r - 2)*(r + 1)**2*(r + 2)
Let x = -2750 - -2756. Let b(f) be 