 Factor v(c).
-(c - 22)*(c + 6)*(9*c + 2)/3
Let g(m) be the third derivative of -m**6/450 - m**5/150 + 9*m**3/2 - 6*m**2 - 5*m. Let d(n) be the first derivative of g(n). Solve d(h) = 0 for h.
-1, 0
Factor -395*w + 1/5*w**3 + 986/5*w**2 + 988/5.
(w - 1)**2*(w + 988)/5
Let p(t) = -13*t**2 - 9*t + 16. Let r(v) = -v - 5. Let y(i) = -i**2 - 6*i - 27. Let j(l) = -11*r(l) + 2*y(l). Let o(w) = 6*j(w) - p(w). Factor o(x).
(x - 2)*(x + 5)
Let n(r) be the second derivative of -30*r + 1/5*r**5 + 8*r**3 + 16*r**2 + 0 + 2*r**4. Factor n(q).
4*(q + 2)**3
Factor -422*i**5 + 487*i**2 + 98*i**4 - 1737*i**2 + 841*i**5 - 421*i**5 - 534*i**3 - 616*i**3.
-2*i**2*(i - 25)**2*(i + 1)
Let h(z) = -9*z - 25 + 18 - 1 + 9*z**2. Let t(r) = -3*r**2 + 3*r + 3. Suppose -2*i - 16 = -0*i. Let l(b) = i*t(b) - 3*h(b). Factor l(c).
-3*c*(c - 1)
Suppose -18/17*q**5 + 32/17*q + 48/17*q**2 - 48/17*q**4 + 0 - 14/17*q**3 = 0. Calculate q.
-4/3, -1, 0, 1
Let i be 2/(-29 - (-979)/33). Determine x, given that -26/3*x**i + 0 - 4/3*x - 6*x**2 - 4*x**4 = 0.
-1, -2/3, -1/2, 0
Suppose -1 = -4*s + 3*s, x - 4*s = -360. Let j = 717/2 + x. Solve 1 + j*r + 3/2*r**2 = 0.
-1, -2/3
Let m(o) = -3*o**2 + 6*o + 6. Suppose -139 = 2*w - 127. Let a(b) = -b**3 - 3*b**2 + 5*b + 5. Let c(q) = w*a(q) + 5*m(q). Factor c(v).
3*v**2*(2*v + 1)
Let f(y) be the first derivative of y**6/2 + 12*y**5/5 - 15*y**4/4 - 20*y**3 + 6*y**2 + 48*y + 764. Let f(s) = 0. Calculate s.
-4, -2, -1, 1, 2
Let w(d) be the first derivative of 5*d**4/4 - 50*d**3 + 1105*d**2/2 - 7752. Determine r, given that w(r) = 0.
0, 13, 17
Let p be (-3)/(5 - (5 - 3)). Let s be ((-12)/20)/(p*1/1). Determine k, given that -3/5*k**2 + s*k + 6/5 = 0.
-1, 2
Let u be (-2*(-6)/8)/(1/(-6)). Let l = -6 - u. Find i such that 2*i + 11*i - 45*i**2 - 15*i + 20*i**l + 12*i = 0.
0, 1/4, 2
Let k(g) be the third derivative of 0 + 1/210*g**6 + 0*g + 48*g**2 - 1/735*g**7 + 0*g**3 - 1/210*g**5 + 0*g**4. Factor k(n).
-2*n**2*(n - 1)**2/7
Let m be (882/54 + -17)/(28/(-42774)). Let v = 1019 - m. Factor v*c**3 - 64/7*c**2 + 256/7*c + 0.
4*c*(c - 8)**2/7
Let c(q) be the second derivative of -q**8/252 - 2*q**7/45 - q**6/9 - 255*q**2/2 - q + 17. Let t(b) be the first derivative of c(b). Factor t(v).
-4*v**3*(v + 2)*(v + 5)/3
Let f(b) be the first derivative of 2*b**3/3 + 38*b**2 - 430*b + 1722. Factor f(t).
2*(t - 5)*(t + 43)
Let x = 148 - -57. Factor -7*z - x - z**2 + 221 - 8*z.
-(z - 1)*(z + 16)
Let v = -62 + 172. What is l in 27*l**3 - v*l**4 - 104*l**4 + 219*l**4 + 8*l**3 + 80*l**2 + 60*l = 0?
-3, -2, 0
Let j(d) be the third derivative of -7*d**7/195 + 3941*d**6/780 + 1132*d**5/195 + 27*d**4/13 - d**2 + 5*d + 1. Find u, given that j(u) = 0.
-2/7, 0, 81
Let k(a) be the third derivative of a**5/45 + 8*a**4/9 + 40*a**3/3 - 6*a**2 - 5. Factor k(u).
4*(u + 6)*(u + 10)/3
Suppose -4*p - 5*j = 2693 - 2718, -3*p + 3*j - 15 = 0. Let -1/2*b**3 + p + 2/5*b**4 + 0*b + 1/5*b**2 - 1/10*b**5 = 0. What is b?
0, 1, 2
Suppose -2*n - 10 = 3*d, 737*n + 5 = -d + 736*n. Let m(s) be the second derivative of -3*s**3 - 1/10*s**5 + s**4 + 20*s + d*s**2 + 0. Factor m(x).
-2*x*(x - 3)**2
Let g(d) be the first derivative of -d**4/16 + 83*d**3/3 - 6889*d**2/2 - 2831. Find h, given that g(h) = 0.
0, 166
Let w(f) = -5*f**2 - 117*f + 146. Let c(t) = -4*t**2 - 118*t + 142. Let q(l) = 6*c(l) - 5*w(l). Suppose q(z) = 0. What is z?
1, 122
Find c, given that 3/4*c**4 - 5481/4*c**2 + 5487/4*c + 1821/4*c**3 - 915/2 = 0.
-610, 1
Let g be (-5)/(-2)*(-84)/(-100). Let s = 13/5 - g. Determine y, given that 0*y**3 - 3/2*y**2 - y + 0 + s*y**4 = 0.
-1, 0, 2
Factor -217*s - 194*s - 1001*s - 238 - 74 - 36*s**2.
-4*(s + 39)*(9*s + 2)
Let -2/5*c**3 - 32*c**2 + 0 - 312/5*c = 0. Calculate c.
-78, -2, 0
Let l(g) = -g**3 - 5*g**2 + 13*g - 5. Let b be l(-7). What is s in 8*s**3 - 4*s**2 + 7*s**3 + 0*s**2 + 6*s - s**b - 14*s**3 = 0?
0, 2, 3
Let i(m) be the third derivative of m**6/280 - 39*m**5/140 - 23*m**4/4 + 6*m**2 + 2*m - 30. Find y, given that i(y) = 0.
-7, 0, 46
Let c be 84/39 - (-2)/(-13). Solve 0*h**2 + 4*h**c + 2304 + 73*h + 119*h = 0 for h.
-24
Let l(r) be the third derivative of -r**6/45 + 47*r**5/15 - 23*r**4/6 - 140*r**3/9 + 1496*r**2. Solve l(w) = 0.
-1/2, 1, 70
Let z(i) be the third derivative of i**7/840 + 11*i**6/80 + 6*i**5 + 108*i**4 + 15*i**2 - 151. Suppose z(o) = 0. What is o?
-24, -18, 0
Let p(g) = 5*g**3 + 71*g**2 - 56*g + 20. Let c(f) = 2*f**3 + 2*f**2 + f + 5. Let x(j) = 4*c(j) - p(j). Factor x(k).
3*k*(k - 20)*(k - 1)
Suppose 0 = 2*b - h + 23 - 31, 0 = -4*b + 5*h + 10. Let -2*v**3 + 10*v + 9*v**3 + 38*v**3 + 25*v**4 + 35*v**2 + 5*v**b = 0. Calculate v.
-2, -1, 0
Factor 1388*m**2 - 1458*m + 1743*m**3 - 1742*m**3 - 1871*m**2.
m*(m - 486)*(m + 3)
Factor -1205/2 + 602*f + 1/2*f**2.
(f - 1)*(f + 1205)/2
Suppose 29/3*p**3 + 0 - 17/3*p**4 - p**5 + 5/3*p**2 - 14/3*p = 0. Calculate p.
-7, -2/3, 0, 1
Factor 17/2*r**2 + 0 + 3/2*r**4 + 3*r + 7*r**3.
r*(r + 1)*(r + 3)*(3*r + 2)/2
Let l(f) be the second derivative of -432*f**2 - 1/18*f**4 + f + 12 + 8*f**3. Factor l(i).
-2*(i - 36)**2/3
Let z be (-644)/(-276) - (-5 + 7). What is p in -z*p**5 - 1/3*p - 4/3*p**2 + 0 - 4/3*p**4 - 2*p**3 = 0?
-1, 0
Suppose -4*s + 6*s - 40 = 0. Let b be 2/(-8) + 85/s. Factor b*c**2 - 20 + 32*c + 24 + 60.
4*(c + 4)**2
Let 25*g**2 + 50 - 108*g + 61 + 7*g**2 - 35*g**2 = 0. What is g?
-37, 1
Let u(w) be the second derivative of -w**4/20 - 42*w**3/5 + 528*w**2/5 - 2378*w. Determine h, given that u(h) = 0.
-88, 4
Suppose -3*t - 22 = 3*c - 16, -3*c - 30 = -5*t. Let n(p) be the second derivative of -1/3*p**4 + 0 + 2*p**t - 4*p**2 - 9*p. Suppose n(v) = 0. What is v?
1, 2
Let r(d) be the third derivative of -d**6/40 + 3*d**5/4 + 11*d**4 - 114*d**3 + 2*d**2 + 34*d + 18. Determine o, given that r(o) = 0.
-6, 2, 19
Let o(t) = 14*t + 38. Let d be o(-2). Let x be 54/30*d/12*2. Factor 3/4*w**2 - 1/2*w - 1/4*w**x + 0.
-w*(w - 2)*(w - 1)/4
Let g(r) be the third derivative of 2*r**7/735 - 6*r**6/35 + 533*r**5/420 - 227*r**4/56 + 48*r**3/7 + 587*r**2. Suppose g(i) = 0. Calculate i.
1, 3/2, 32
Suppose -15*a + 18*a = 231. Find r, given that 6*r**2 + 5*r**3 + 550*r - 124*r**2 - a*r**2 - 114 - 246 = 0.
1, 2, 36
Let b = 721/20196 - -1/748. Let k(r) be the first derivative of -1/6*r**4 + 0*r**2 - b*r**6 + 2/27*r**3 + 39 + 0*r + 2/15*r**5. Solve k(q) = 0.
0, 1
Let q(u) be the first derivative of 7/2*u**2 - 1/330*u**5 + 5 + 0*u**4 + 0*u + 1/33*u**3. Let w(s) be the second derivative of q(s). Solve w(r) = 0.
-1, 1
Let i(h) be the third derivative of 2*h**7/105 - 19*h**6/6 + 187*h**5/15 - 31*h**4/2 - 152*h**2. Factor i(t).
4*t*(t - 93)*(t - 1)**2
Let t = 1387136/117 + -106682/9. Factor -2/13*j**2 - t + 16/13*j.
-2*(j - 5)*(j - 3)/13
Let m = 131 - 127. Suppose 0*l - 17 = -2*q - 3*l, 4*l - 28 = -m*q. Factor 7/3*i + 3*i**2 + 5/3*i**3 + 2/3 + 1/3*i**q.
(i + 1)**3*(i + 2)/3
Factor -14 + 41 - 11 - 72*i + 99 - 4*i**2 + 45.
-4*(i - 2)*(i + 20)
Suppose 3*k - 4*j = -146, k = -j - 17 - 20. Let o be 1/(-3) - 2156/k. Factor o*u + 245*u**4 + 84*u + 545*u**2 + 630*u**3 + 20 + 45*u.
5*(u + 1)**2*(7*u + 2)**2
Let s(n) be the third derivative of -n**8/588 - 93*n**7/245 - 2267*n**6/420 - 876*n**5/35 - 524*n**4/21 - n**2 - 317*n - 1. Let s(a) = 0. What is a?
-131, -4, -1/2, 0
Suppose 43*w**3 - 123*w + 39*w**3 + 26 - 125*w**3 + 42*w**3 + 35 + 63*w**2 = 0. Calculate w.
1, 61
Let v = -5002/21 - -748/3. Let p = v - 227/21. Find l, given that -p*l**2 + 2/3 + 1/3*l = 0.
-1, 2
Suppose 4*n + 3*a - 30 = 6*a, 24*a - 20*a = -40. Factor -32/11 + 2/11*l**2 + n*l.
2*(l - 4)*(l + 4)/11
Let x = -8 - -2. Let f = 8 + x. Solve 2*v + 0*v**f - v**3 + v**2 - 2*v**2 = 0.
-2, 0, 1
Let v(s) = -8*s**3 + 42*s**2 + 128*s + 93. Let h(k) = -3*k**3 + 20*k**2 + 63*k + 46. Let o(a) = 5*h(a) - 2*v(a). Determine p, given that o(p) = 0.
-11, -4, -1
Let q be (-35)/(-45)*(-6)/(-14). Let l(c) be the second derivative of 0 - 3/10*c**5 + 1/15*c**6 + q*c**4 + 0*c**2 + 2*c + 0*c**3. Let l(b) = 0. Calculate b.
0, 1, 2
Let y(q) be the third derivative of -q**9/5040 + q**7/420 - q**5/40 - 3*q**4/8 - q**3/3 + 64*q**2. Let v(f) be the second derivative of y(f). Factor v(n).
-3*(n - 1)**2*(n + 1)**2
Let u(k) = -k**3 + 4*k - 1. Let p be u(-2). Let a(l) = -6*l - 2. Let w be a(p). Factor 1 - 4*o**3 + 2*o**w - 5 + 4.
2*o**3*(o - 2)
Let 