)**3/15
Let b be 0/6*2/4. Factor 20*p**3 - 4*p + 9*p**2 + 3*p**2 - 4 + b*p**2 + 8*p**4.
4*(p + 1)**3*(2*p - 1)
Factor -15*n - 108/7 + 3/7*n**2.
3*(n - 36)*(n + 1)/7
Let l = -418 + 418. Let a(y) be the second derivative of 3/10*y**5 - y - 6*y**2 + 3/4*y**4 + l - 2*y**3 - 1/10*y**6. Factor a(u).
-3*(u - 2)**2*(u + 1)**2
Suppose 2*h - 29 = 5*d, 5*d + 0*d = 25. Determine b so that h*b**2 - 8*b**2 + 20*b**3 - 16*b + 4*b**4 + 5*b**2 - 32 = 0.
-2, 1
Suppose 0 = -2*d - 3*d + 25, 0 = -3*t + 3*d - 3. Determine x, given that -12*x**2 - 4*x**3 + 12*x - 7 + t*x**4 - 1 + 8*x = 0.
-2, 1
Suppose 191*o**2 - 454*o**3 + 510*o**3 + 30 - 141*o**2 - 136*o = 0. Calculate o.
-15/7, 1/4, 1
Let m(x) = x**2 - 6*x + 4. Let l be (0 - -5)/((-35)/(-42)). Let j be m(l). What is w in -w + j*w - 5*w - w + 3*w**2 = 0?
0, 1
Let c be (1064/(-180) - -3) + 4. Let r = c - 8/9. Factor 0 - 3/5*a - r*a**2.
-a*(a + 3)/5
Let d(s) be the third derivative of -s**6/120 + 4*s**5/15 - 17*s**4/8 + 6*s**3 + 387*s**2. Find j, given that d(j) = 0.
1, 3, 12
Let u(w) be the second derivative of -1/48*w**4 + 1/6*w**3 - 1/2*w**2 + 4*w + 0. Factor u(a).
-(a - 2)**2/4
Factor 13*p**3 - 2600*p - p**3 - 25*p**3 - 3*p**3 + 412*p**2 - 676.
-4*(p - 13)**2*(4*p + 1)
Let k(b) be the first derivative of 4*b**5/15 + b**4/3 + b**3/6 + 2*b**2 + 1. Let p(w) be the second derivative of k(w). Suppose p(g) = 0. Calculate g.
-1/4
Let z = 51 - 44. Factor z*b**3 - 14*b**3 + 3*b**4 - b + 3*b**2 + 2*b**2.
b*(b - 1)**2*(3*b - 1)
Let k(z) be the second derivative of z**7/42 + z**6/30 + z**5/5 + z**4/3 + 2*z**2 - 7*z. Let a(o) = -o**3 - o**2 - 1. Let v(w) = -12*a(w) - 3*k(w). Factor v(y).
-3*y**4*(y + 1)
What is j in 1/3*j**2 + 0*j**3 + 0 - 1/3*j**4 + 0*j = 0?
-1, 0, 1
Suppose -2*m + 18 = -m. Let h(v) be the first derivative of -v**3 - 23*v - m - 25*v + 12*v**2 + 12. Find j such that h(j) = 0.
4
Let a = -4 + -18. Let n be 12/(-66) + (-70)/a. Factor -104*c - 20*c**2 + 79*c + 5 - 15 - 5*c**n.
-5*(c + 1)**2*(c + 2)
Let g(n) = -55*n**3 - 345*n**2 - 310*n - 30. Let q(j) = -2*j**2 - j - 1. Let z(r) = g(r) - 5*q(r). Suppose z(t) = 0. Calculate t.
-5, -1, -1/11
Let b(k) be the second derivative of -k**6/10 - 21*k**5/100 + 11*k**4/20 + 7*k**3/10 - 9*k**2/5 + 31*k. Solve b(i) = 0 for i.
-2, -1, 3/5, 1
Let n(p) be the third derivative of p**5/30 + 7*p**4/12 - 8*p**3/3 + 174*p**2. Factor n(v).
2*(v - 1)*(v + 8)
Let r(y) be the third derivative of -y**7/1155 + 23*y**6/660 + 62*y**2. Factor r(i).
-2*i**3*(i - 23)/11
Let b be 0/(2 + -2 + 2). Suppose -w - s + 9 = b, 3*w - 6*w = -4*s + 8. Factor -1/6*z**w + 0*z + 0*z**2 + 0*z**3 + 1/6*z**5 + 0.
z**4*(z - 1)/6
Let w(a) be the first derivative of a**7/630 - a**6/180 + a**5/180 - a**2 - 12. Let l(h) be the second derivative of w(h). Determine p, given that l(p) = 0.
0, 1
Let z = 23/4 - 1027/180. Let p(d) be the second derivative of -1/15*d**2 - z*d**3 - 2*d + 0 - 1/90*d**4. Factor p(u).
-2*(u + 1)**2/15
Determine o so that 0 + 0*o + 2/17*o**4 - 2/17*o**3 + 4/17*o**5 + 0*o**2 = 0.
-1, 0, 1/2
Let z(i) be the first derivative of -2*i**5/5 + 29*i**4/2 - 162*i**3 + 403*i**2 + 1352*i - 163. Let z(v) = 0. Calculate v.
-1, 4, 13
Suppose 10*w**4 - 3351*w**3 - 10*w**2 - 16*w + 3371*w**3 - 5*w**5 + w = 0. Calculate w.
-1, 0, 1, 3
Let i(r) be the second derivative of -r**4/24 - 15*r**3 - r - 51. Factor i(j).
-j*(j + 180)/2
Factor -27/5*k**3 - 3/5*k**4 - 48/5*k - 72/5*k**2 + 0.
-3*k*(k + 1)*(k + 4)**2/5
Let q = 61451/21 - 2925. Let t(w) be the first derivative of -4/21*w**6 - 1/14*w**4 - q*w**3 + 22/35*w**5 - 10 + 4/7*w + 5/7*w**2. Suppose t(y) = 0. What is y?
-1, -1/4, 1, 2
Let i(u) be the first derivative of -3*u**7/80 + 19*u**6/60 - 47*u**5/48 + 25*u**4/24 + 19*u**3 - 47. Let t(j) be the third derivative of i(j). Factor t(y).
-(3*y - 5)**2*(7*y - 2)/2
Let l(m) = -m**3 - m**2. Let r = -6 + 5. Let q(t) = 6*t**3 + 16*t**2 + 16*t. Let y(g) = r*q(g) - 4*l(g). Suppose y(k) = 0. Calculate k.
-4, -2, 0
Let n(i) = -8*i**2 + 132*i - 3. Let s(w) = -18*w**2 + 264*w - 7. Let r(q) = -7*n(q) + 3*s(q). Find f, given that r(f) = 0.
0, 66
Let v(b) be the third derivative of b**6/40 + b**5/10 - b**4/8 - b**3 + 34*b**2. Suppose v(x) = 0. What is x?
-2, -1, 1
Let j = 265405/24882 - -1/8294. Find o such that 2/9*o**3 + 8/3*o**2 + j*o + 128/9 = 0.
-4
Let o be 58 - 58 - (1 + 35). Let f be 12/90*o - -5. Let -f*t + 0 + 4/5*t**2 - 3/5*t**3 = 0. Calculate t.
0, 1/3, 1
Let h = -6190/3 - -14444/7. Find v, given that 0*v + 0*v**3 - 2/21*v**4 + h*v**2 + 0 = 0.
-1, 0, 1
Let m = -1/723 - -416/126525. Let p(n) be the third derivative of m*n**7 + 0*n**3 - 4*n**2 + 0*n**4 + 0*n + 0 + 1/600*n**6 + 0*n**5 + 1/1680*n**8. Factor p(c).
c**3*(c + 1)**2/5
Suppose l - 5*l = -3*m + 25, -3*l - 18 = -2*m. Suppose m*o = -2*o + 10. Find a such that -4*a**3 + 2*a**o - 4 + 0 + 2*a**4 - 5*a**3 + 6*a + 3*a**3 = 0.
-1, 1, 2
Let n(x) be the first derivative of -8/21*x**3 - 1/7*x**6 + 0*x + 3 + 8/35*x**5 + 1/7*x**2 + 1/7*x**4. Suppose n(q) = 0. Calculate q.
-1, 0, 1/3, 1
Let m(w) be the second derivative of -w**4/60 + w**3/6 - 2*w**2/5 + 145*w. Factor m(i).
-(i - 4)*(i - 1)/5
Let v be (-2)/1 - -7 - (15 + -10). Let m(w) be the third derivative of 0 + 0*w + v*w**3 - 11*w**2 - 1/60*w**5 + 1/24*w**4. Determine u so that m(u) = 0.
0, 1
Let u be 0 - -2*36/24. Let y(k) be the second derivative of 1/40*k**5 + 7/12*k**u + 3*k + 5/24*k**4 + 3/4*k**2 + 0. Let y(f) = 0. Calculate f.
-3, -1
Let v(w) be the first derivative of w**5/10 + w**4/4 + 30. Solve v(x) = 0.
-2, 0
Let b be -9 - (-7 + -20)/3. Let j(g) be the second derivative of 1/3*g**3 + 0 + b*g**2 + 3/10*g**5 + 9*g + 1/15*g**6 + 1/2*g**4. Solve j(c) = 0 for c.
-1, 0
Suppose -3*c + 3 = -9. Suppose -2/5*i**c + 2/5*i**2 + 0*i**3 + 0 + 0*i = 0. Calculate i.
-1, 0, 1
Suppose -225*z = -230*z - 2*u - 8, 3*u + 12 = 0. Solve -4/9*t**2 - 2/3*t**3 + 0 - 2/9*t**4 + z*t = 0.
-2, -1, 0
Let h(w) be the third derivative of w**8/60480 + w**7/5040 - w**5/10 - 36*w**2. Let d(o) be the third derivative of h(o). Factor d(t).
t*(t + 3)/3
Suppose -2/13*d**2 - 8/13 - 10/13*d = 0. Calculate d.
-4, -1
Let n be -4*(-3)/12*3. Suppose n*b - 5*b = -10. Suppose 3*c**3 - c**b + 4*c**4 - 4*c**4 - 2*c**3 = 0. Calculate c.
-1, 0, 1
Let g(l) be the first derivative of 64*l**2 + 49*l**4 + 308/3*l**3 + 16*l + 26. Factor g(p).
4*(p + 1)*(7*p + 2)**2
Let -23/4*a - 6*a**3 + 17/2*a**2 + 2*a**4 + 3/2 - 1/4*a**5 = 0. What is a?
1, 2, 3
Let z(c) be the first derivative of 2*c**5/65 + c**4/26 - 4*c**3/39 + 72. Solve z(w) = 0.
-2, 0, 1
Factor -4 + 5/3*g**3 + 11*g**2 + 16/3*g.
(g + 1)*(g + 6)*(5*g - 2)/3
Let k(d) = -d**4 - d**3 + d - 1. Let r(f) = 7*f**4 + 47*f**3 - 60*f**2 - 102*f + 2. Let c(v) = 2*k(v) + r(v). Solve c(o) = 0.
-10, -1, 0, 2
Let k(p) be the second derivative of -p**5/90 - 396*p. Factor k(u).
-2*u**3/9
Let v(t) be the first derivative of -2*t**6/3 + 32*t**5/5 - 21*t**4 + 24*t**3 + 27. Let v(y) = 0. Calculate y.
0, 2, 3
Let a = 667 + -664. Let c(l) be the second derivative of 0 - 2/21*l**a + 0*l**2 + 1/42*l**4 + 7*l. Find i, given that c(i) = 0.
0, 2
Let f be -1*18*(-13)/78 + -3. Let w(s) be the third derivative of -1/60*s**4 + 0*s + 8*s**2 + f + 1/30*s**3 + 1/300*s**5. Factor w(a).
(a - 1)**2/5
What is n in -2*n**2 - 8*n**2 + 9*n**2 + 8*n = 0?
0, 8
Suppose 1340 = -6*x + x. Let j be (-3)/(-3 - 792/x). Factor 3 + 3*p - j + 29*p - 7*p**2 + 3*p**2.
-4*(p - 4)**2
Factor 12*c**3 - 25*c**3 + 8*c**2 + 11*c**3 + c**4 + 8*c - 3*c**4.
-2*c*(c - 2)*(c + 1)*(c + 2)
Let a(j) = 80*j**2 + 75*j - 15. Let z(v) = -27*v**2 - 25*v + 5. Let g(i) = i + 6. Let x be g(-3). Let f(p) = x*a(p) + 10*z(p). Factor f(u).
-5*(u + 1)*(6*u - 1)
Factor 20 + 340 + 4*y**2 + 3*y**2 + 90*y - 2*y**2.
5*(y + 6)*(y + 12)
Let t(j) be the third derivative of j**8/112 - 11*j**7/70 + 17*j**6/20 + 2*j**5/5 - 20*j**4 + 64*j**3 - 5*j**2 - 25*j. Solve t(q) = 0.
-2, 1, 4
Let g(s) be the second derivative of s**6/10 - 126*s**5/5 + 2646*s**4 - 148176*s**3 + 4667544*s**2 + 13*s + 5. Factor g(a).
3*(a - 42)**4
Let c be 5/(-50) - (-7)/70. Factor -2/7*p**2 + c + 4/7*p - 2/7*p**3.
-2*p*(p - 1)*(p + 2)/7
Factor 113/4 - 57/2*r + 1/4*r**2.
(r - 113)*(r - 1)/4
Suppose 0 = 4*n + 2*w - 24, 3*n - 8 = -4*w - 0*w. Let 20 + 60*x + 13*x**2 - 17*x**3 - n*x**3 + 2*x**2 = 0. Calculate x.
-1, -2/5, 2
Let g(d) = d**