e first derivative of l**4/3 + 23*l**3 + 442*l**2 - 676*l/3 - 52. Factor v(n).
(n + 26)**2*(4*n - 1)/3
Let c(u) be the second derivative of -u**4/8 - 11*u**3/4 - 27*u**2/2 - 9*u. Factor c(y).
-3*(y + 2)*(y + 9)/2
Let h(r) be the third derivative of 0 - 16*r**2 + 0*r**7 + 1/6*r**6 - 5/3*r**3 + 1/6*r**5 + 0*r - 5/8*r**4 - 5/336*r**8. Let h(a) = 0. What is a?
-1, 1, 2
Let l = 2/12457 - -49822/37371. Factor 4/3 + 0*w - l*w**2.
-4*(w - 1)*(w + 1)/3
Let s = -7 - -7. Let d = s + 3. Determine n so that 2*n**4 + d*n**4 + 4*n**3 - 4*n - 3*n**4 - 2*n**2 = 0.
-2, -1, 0, 1
Let o be 92/9 + 30*27/(-81). Determine g so that -o*g**2 + 2/9*g - 2/9*g**3 + 2/9 = 0.
-1, 1
Let f(a) be the second derivative of 3*a**5/20 - 3*a**3/2 + 3*a**2 + 246*a. What is u in f(u) = 0?
-2, 1
Find n such that -2/7*n**3 - 1936/7 - 92/7*n**2 - 1144/7*n = 0.
-22, -2
Suppose -12*a = 48 - 0. Let b be (93/(-24) - a)*6. Factor 0 - 3/4*m + b*m**2 - 3/4*m**4 + 3/4*m**3.
-3*m*(m - 1)**2*(m + 1)/4
Factor -4/3*i**2 + i + 6 - 1/3*i**3.
-(i - 2)*(i + 3)**2/3
Let y(z) = -6*z + 35. Let t be y(5). Let l(w) be the first derivative of -5/4*w**4 - w**3 - w - 2 + 5/2*w**2 + 4/5*w**t. Let l(g) = 0. What is g?
-1, 1/4, 1
Let y(n) be the third derivative of -n**5/60 - 11*n**4/6 - 2*n**2 + 19. Factor y(d).
-d*(d + 44)
Let c(t) = -t**3 - 17*t**2 - t - 11. Let g be c(-17). Solve x**3 + 108 - 9*x**2 + 2*x**3 - 108 + g*x = 0.
0, 1, 2
Let n(w) = w**2 + w - 6. Let c be n(-4). Let q be -3*1/c*0. Suppose q*z**2 + 0 + 1/2*z**3 - 1/2*z = 0. Calculate z.
-1, 0, 1
Let s(p) = 13*p - 88. Let y be s(7). Let m(f) be the first derivative of 2/9*f**2 + 1/6*f**4 + 0*f - 2 - 1/27*f**6 + 10/27*f**y - 2/45*f**5. Factor m(l).
-2*l*(l - 2)*(l + 1)**3/9
Factor 1/5*k**5 + 0*k**2 + 0*k + 0 + 0*k**3 - 1/5*k**4.
k**4*(k - 1)/5
Let m(k) = -22*k - 12*k - 19*k**2 + 9*k. Let a(j) = 3*j**2 + 4*j. Let b(u) = -39*a(u) - 6*m(u). Find n such that b(n) = 0.
-2, 0
Let d = -46 - -36. Let z be (-12)/d + -2 - 38/(-10). Determine x so that 1/2 + 1/2*x - 1/2*x**z - 1/2*x**2 = 0.
-1, 1
Let g(n) be the first derivative of 4*n**3/21 + 18*n**2/7 - 40*n/7 + 68. What is a in g(a) = 0?
-10, 1
Let f(j) be the first derivative of -8*j**5/15 + 31*j**4/2 - 46*j**3/9 - 193. Factor f(p).
-2*p**2*(p - 23)*(4*p - 1)/3
Factor 2/3*t**2 + 40/3 - 8*t.
2*(t - 10)*(t - 2)/3
Let q(l) be the first derivative of -15/2*l**2 - 45/4*l**4 + 37 + 0*l + 2*l**5 + 50/3*l**3. What is p in q(p) = 0?
0, 1/2, 1, 3
Suppose -1936*l - 4 + l**3 + 3870*l - 1934*l + 3*l**2 = 0. Calculate l.
-2, 1
Let w be ((-17)/3 + 3)/(13/(-117)). Factor -4/5 - 10*m**3 - 42/5*m - w*m**2.
-2*(m + 2)*(5*m + 1)**2/5
Let v(j) be the third derivative of -j**7/10 + 6*j**6/5 + 21*j**5/10 - 65*j**4 - 75*j**3/2 - 544*j**2. Determine r, given that v(r) = 0.
-3, -1/7, 5
Let x = -63 + 203/3. Factor -x*f**2 - 8/9*f**3 + 0 - 10/9*f.
-2*f*(f + 5)*(4*f + 1)/9
Let r(x) = -x**3 + 6*x**2 - 4*x - 3. Let m be r(5). Let -m*q**4 - 20*q + 0 + 6*q**4 + 4*q**3 - 7 - 1 - 12*q**2 = 0. What is q?
-1, 2
Let a(h) be the second derivative of h**6/540 + h**5/90 - 2*h**4/9 - h**3/3 + 24*h. Let z(j) be the second derivative of a(j). Factor z(y).
2*(y - 2)*(y + 4)/3
Let p(w) be the third derivative of -w**6/420 - 3*w**5/35 - 41*w**4/84 + 20*w**3/7 - 309*w**2. Let p(s) = 0. What is s?
-15, -4, 1
Let w = -386 + 386. Let y(s) be the first derivative of -8 - s + 1/5*s**5 + w*s**3 + s**2 - 1/2*s**4. Factor y(v).
(v - 1)**3*(v + 1)
Let u(i) = -7 + 1 - i**2 + 1 + 6*i**2 - 8*i + 2*i**3. Let y(l) = 3*l**3 + 5*l**2 - 7*l - 5. Let s(m) = -2*u(m) + 3*y(m). Let s(o) = 0. What is o?
-1, 1
Let b be 2/12 + (-6)/4 + 196. Let v = b - 192. What is t in 38/3*t**3 - 8/3*t + 28/3*t**4 + 0 + 2*t**5 + v*t**2 = 0?
-2, -1, 0, 1/3
What is o in 20*o + 5/2*o**5 - 5/2*o**2 + 5/2*o**4 - 10 - 25/2*o**3 = 0?
-2, 1
Let c be 8 + 83/(-5) + (-12 - -22). Solve -8/5*s - 28/5*s**2 + 0 + c*s**4 + 2/5*s**3 = 0 for s.
-2, -2/7, 0, 2
Let z(r) be the first derivative of -r**4/28 + 29*r**3/21 + 61*r**2/14 + 31*r/7 - 197. Solve z(o) = 0.
-1, 31
Suppose 7/6*t**5 + 0*t + 2/3*t**2 + 10/3*t**3 + 23/6*t**4 + 0 = 0. What is t?
-2, -1, -2/7, 0
Let c(m) be the first derivative of 10 - 9/8*m**2 + 0*m - 1/16*m**4 + 1/2*m**3. Factor c(f).
-f*(f - 3)**2/4
Let n(q) = q**3 + 2*q**2 - 6*q + 6. Let i be n(2). Let v be i/(-65) - (1 + 342/(-195)). Factor -1/5*w**4 - v*w**3 + 0 - 2/5*w**2 + 0*w.
-w**2*(w + 1)*(w + 2)/5
Factor 6/11*y**3 + 38400/11 + 39360/11*y + 966/11*y**2.
6*(y + 1)*(y + 80)**2/11
Let g(p) be the second derivative of p**6/15 - p**5 + 6*p**4 - 56*p**3/3 + 32*p**2 + p - 31. Factor g(s).
2*(s - 4)*(s - 2)**3
Suppose m = 5*i - 66, 2*i + i - 44 = 5*m. Let h = i + -11. Let 2*y**h + y**2 + 9*y - 3*y = 0. Calculate y.
-2, 0
Let h = -267 + 139. Let m = h + 135. Factor -m*a**2 + 1 - 3/2*a + 7/2*a**5 + 6*a**4 - 2*a**3.
(a - 1)*(a + 1)**3*(7*a - 2)/2
Suppose 14 = 6*v - 4. Determine w, given that -117*w - v*w**3 + 111*w - 3 + 9*w**2 + 3 = 0.
0, 1, 2
Let h(j) be the third derivative of -35*j**8/48 + 185*j**7/6 + 177*j**6/2 + 223*j**5/3 + 70*j**4/3 + 298*j**2. Solve h(q) = 0 for q.
-1, -2/7, 0, 28
Let n(q) be the third derivative of -q**6/180 + 7*q**5/30 - 49*q**4/12 + 343*q**3/9 + 2*q**2 - 20*q. What is l in n(l) = 0?
7
Suppose 3*x - 11 + 86 = -g, x + 5*g = -39. Let o = x + 26. Factor 2/5*a**o + 8/5 + 8/5*a.
2*(a + 2)**2/5
Let s(f) be the first derivative of 14*f**3 + 19*f**2 - 4*f - 25. Factor s(m).
2*(m + 1)*(21*m - 2)
Factor 0*s - 1/4 + 1/4*s**2.
(s - 1)*(s + 1)/4
Suppose 54 = 17*g - 24 + 10. Solve 0 + 1/2*d**g + d - 5/2*d**2 + 3/2*d**3 - 1/2*d**5 = 0 for d.
-2, 0, 1
Let m(a) = -249*a + 5049. Let x(k) = -k**2 + 497*k - 10096. Let u(s) = -5*m(s) - 3*x(s). Find d, given that u(d) = 0.
41
Let r be ((-36)/(-1539))/(70/(-18) - -4). Factor -r + 2/19*a + 2/19*a**2.
2*(a - 1)*(a + 2)/19
Factor 4/5*t**3 - 316/5*t**2 + 0 + 0*t.
4*t**2*(t - 79)/5
Let l = 18 + -32. Let r be ((-1)/(-5) + 0)/(l/(-14)). Factor -2/5*f**2 + 0*f**3 + 2/5*f**4 - r*f + 1/5*f**5 + 0.
f*(f - 1)*(f + 1)**3/5
Factor 10/3*x**2 - 5/3*x**3 + 35/3*x + 20/3.
-5*(x - 4)*(x + 1)**2/3
Let t = -50 - -48. Let x be 30/35*t/(-6). Factor 2/7*i**3 + 4/7*i**2 + 0*i - x*i**4 + 0.
-2*i**2*(i - 2)*(i + 1)/7
Find y, given that 4/9*y**4 + 0 + 0*y**3 - 16/9*y**5 + 0*y + 0*y**2 = 0.
0, 1/4
Suppose 328 = -14*s + 356. Let h(w) be the second derivative of -1/42*w**4 + 0 + 0*w**3 + 1/210*w**6 + 6*w + 0*w**5 + 1/14*w**s. Suppose h(b) = 0. What is b?
-1, 1
Let p(v) be the first derivative of v**6/195 + 3*v**5/130 + v**4/26 + v**3/39 + 4*v - 4. Let n(r) be the first derivative of p(r). Determine m so that n(m) = 0.
-1, 0
Let q = 102 - 97. Let x(l) = -15*l**3 + 28*l**2 - 3*l - 10. Let t(u) = -15*u**3 + 29*u**2 - 3*u - 11. Let d(g) = q*x(g) - 4*t(g). Factor d(f).
-3*(f - 1)**2*(5*f + 2)
Let n(d) be the first derivative of 0*d + 0*d**2 + 7 + 1/70*d**5 + 3/28*d**4 - 2*d**3 + 1/1260*d**6. Let x(v) be the third derivative of n(v). Factor x(c).
2*(c + 3)**2/7
Factor 129*w + 270*w**2 + 21 - 51*w**4 - 29*w**4 + 204*w**3 + 104*w**4.
3*(w + 7)*(2*w + 1)**3
Suppose 2*s = 2*o + 14, s = 4*s + 2*o - 31. Suppose 21*x - s*x = 9*x. Determine m so that -1/6*m**4 + 0*m + 1/6*m**2 + 1/6*m**3 + x - 1/6*m**5 = 0.
-1, 0, 1
Determine s so that 72/7 - 2/7*s**3 - 16*s + 6*s**2 = 0.
1, 2, 18
Let v be 0/(-58) - (1 + (-5216)/(-18)). Let w = v - -291. Factor -1/9 + 0*t**2 - 2/9*t + 1/9*t**4 + w*t**3.
(t - 1)*(t + 1)**3/9
Let a(w) be the second derivative of 8*w**7/21 + 19*w**6/15 + 7*w**5/5 + w**4/2 + 3*w + 6. Factor a(d).
2*d**2*(d + 1)**2*(8*d + 3)
Let n(b) = -b**3 - 7*b**2 + 6*b - 1. Let y be n(-8). Factor -y*s**4 + 20*s**3 - 36*s**2 - 9*s**4 + 4*s**2 - 68*s**3 - 4*s**5.
-4*s**2*(s + 2)**3
Let s(h) be the third derivative of -h**5/60 - h**4/8 + 2*h**3/3 + 2*h**2 - 3*h. Let s(f) = 0. Calculate f.
-4, 1
Let n(i) be the second derivative of i**5/110 - 5*i**4/33 - 7*i**3/33 + 196*i**2/11 - 196*i. Factor n(h).
2*(h - 7)**2*(h + 4)/11
Let p be -1 + ((-830)/164)/(-1). Let x = 18/41 + p. What is v in -9/2*v**4 + 0 - 3/2*v**2 - 3/2*v**5 + 0*v - x*v**3 = 0?
-1, 0
Let c be 14 + -17 + 3 + 50/24. Let k(h) be the third derivative of -3*h**2 + 5/24*h**4 + 0 + c*h**3 + 1/120*h**5 + 0*h. Factor k(l).
(l + 5)**2/2
Let h be (7/(-3))/(1988/(-426)). Factor 3/2*a - h*a**2 + 2.
-(a - 4)*(a + 1)/2
Let q = 1840 + -3