5 + 4/15*d**2 = 0.
-1/3, 0, 2/7
Suppose 3*p - 18 = -y - 3*y, p = -5*y - 5. Let a be (10/p)/(5/4). Factor -2/5*i**2 + 2/5*i + a.
-2*(i - 2)*(i + 1)/5
Let q(o) be the first derivative of o**4/36 - o**3/9 - o**2/2 + 11*o + 41. Let h(n) be the first derivative of q(n). Find z, given that h(z) = 0.
-1, 3
Let r be 1 - ((-64)/10)/(-8). Let u be (-19)/(-4) + (-1)/(-4). Factor 1/5*q**u + 0*q**4 + 0 + 0*q + 0*q**2 - r*q**3.
q**3*(q - 1)*(q + 1)/5
Let c(l) be the second derivative of l**7/14 - 3*l**6/10 - 33*l**5/20 + 3*l**4/4 + 5*l**3 + 1014*l. Find m, given that c(m) = 0.
-2, -1, 0, 1, 5
Suppose 0 = -899*k + 874*k + 350. Let u(y) be the second derivative of -1/48*y**4 + k*y - 1/24*y**3 + 0*y**2 + 0. Suppose u(m) = 0. Calculate m.
-1, 0
Suppose -5*i - b - 1 = 1, 5*i - 3*b = 6. Let o(d) be the first derivative of 0*d**2 + i*d - 1/9*d**3 + 1/12*d**4 - 2. Solve o(l) = 0.
0, 1
Suppose -z + 22 = z + a, 3*z + 3*a - 30 = 0. Let d be ((-5)/(-10))/(1/z). Factor -d*j - 4*j**4 - 2/3*j**5 - 32/3*j**2 - 28/3*j**3 - 4/3.
-2*(j + 1)**4*(j + 2)/3
Let z(v) = -45*v**2 + 18*v**2 + 12*v - 12 + 6*v + 21*v**2. Let c be (27/12)/(2/16). Let j(u) = -21*u**2 + 63*u - 42. Let h(b) = c*z(b) - 5*j(b). Factor h(n).
-3*(n - 2)*(n - 1)
Let n be 3 + -4 - (77 - 2). Let x = n + 76. Determine i so that 1/6*i**3 + 1/3*i**2 + x*i + 0 = 0.
-2, 0
Let q(w) = -w**2 - 9*w - 5. Let c be q(-8). Suppose -2*u = -2*n - 0*n + 32, 2*u - 46 = -4*n. Let 4*h**3 + n*h - h**c - 9*h**2 - 3 + 0 - 4*h = 0. What is h?
1
Let i(p) = -3*p - 39. Let x be i(-14). Let -2*t + 12*t**3 + 7*t**x - 17*t**3 = 0. Calculate t.
-1, 0, 1
Let x be 0/(-1) + 2 + (-1434)/720. Let f(l) be the third derivative of 1/300*l**5 + 1/600*l**6 + 0 + 0*l - l**2 - x*l**4 - 1/30*l**3. Factor f(n).
(n - 1)*(n + 1)**2/5
Let p(v) be the third derivative of v**5/20 - 27*v**4/8 + 25*v**3 - 3*v**2 + 5. Factor p(u).
3*(u - 25)*(u - 2)
Factor -2187/4 - 3/4*i**2 + 81/2*i.
-3*(i - 27)**2/4
Let r(w) be the second derivative of -3/40*w**5 - 1/120*w**6 - 1/8*w**2 + 1/24*w**4 - 2*w + 0 + 1/8*w**3 + 1/56*w**7. Let r(p) = 0. Calculate p.
-1, 1/3, 1
Let t(g) be the second derivative of -5*g**4/12 - 10*g**3/3 - 10*g**2 - 3*g + 7. Factor t(b).
-5*(b + 2)**2
Let m(o) be the third derivative of 4*o**7/105 + o**6/10 - 8*o**5/15 + o**4/2 - 29*o**2 + 4*o. Solve m(a) = 0.
-3, 0, 1/2, 1
Let c be (-18 - -15)/((-6)/4). Find l such that 11*l**c + 0 - 3 + 6*l**2 - 14*l**2 = 0.
-1, 1
Let w(f) be the third derivative of 1/240*f**6 + 0*f**3 + 1/360*f**5 + 1/420*f**7 + 0*f**4 - 2*f**2 + 0 + 1/2016*f**8 + 0*f. Find d, given that w(d) = 0.
-1, 0
Factor 0 + 2*y - 1/3*y**2.
-y*(y - 6)/3
Let y(x) be the first derivative of x**6/240 + x**5/20 - x**4/48 - x**3/2 + 49*x**2/2 + 2. Let g(l) be the second derivative of y(l). Find q such that g(q) = 0.
-6, -1, 1
Let r(v) = 3*v**4 + 3*v**3 + 5*v**2 - 9*v. Let k(l) = 13*l**4 + 11*l**3 + 21*l**2 - 36*l. Suppose 0 = 6*y + 9 + 45. Let b(i) = y*r(i) + 2*k(i). Factor b(s).
-s*(s - 1)*(s + 3)**2
Let t(j) be the second derivative of -j**7/1120 - j**6/1440 + j**5/60 - j**4/24 - 8*j**3/3 + 6*j. Let n(d) be the second derivative of t(d). Factor n(x).
-(x - 1)*(x + 2)*(3*x - 2)/4
What is g in -4/13*g**5 - 22/13*g**4 + 36/13 - 2*g**3 + 34/13*g**2 + 6*g = 0?
-3, -2, -1, 3/2
Let y(x) = -x + 2. Let g be y(-2). Factor -3*h**3 + 19*h**2 + g*h + 19*h**2 - 27*h**2.
-h*(h - 4)*(3*h + 1)
Let i(n) be the second derivative of -11/2*n**4 + 8*n**2 - 7/10*n**5 + 15*n - 6*n**3 + 0. Solve i(l) = 0 for l.
-4, -1, 2/7
Let i be 5/25 - 9/(-105). Let r(m) = m**3 + 25*m**2 - 55*m - 27. Let u be r(-27). Suppose 0*p**3 + 2/7*p**4 + u - i*p**2 + 0*p = 0. Calculate p.
-1, 0, 1
What is l in -20/7*l + 2/7*l**2 - 22/7 = 0?
-1, 11
Factor 5*m**3 - 24 - 100*m**2 - 176*m + 2 - 26 - 17*m**3.
-4*(m + 2)*(m + 6)*(3*m + 1)
Let s(g) = 9*g**5 + 336*g**4 + 5782*g**3 - 2*g. Let x(f) = 29*f**5 + 1006*f**4 + 17347*f**3 - 7*f. Let o(b) = 7*s(b) - 2*x(b). Factor o(q).
5*q**3*(q + 34)**2
Let m = 13 + 5. Factor -9 + 384*q + 100*q**4 + m + 480*q**3 - 4 + 59 + 736*q**2.
4*(q + 2)**2*(5*q + 2)**2
Let w(s) be the third derivative of s**6/30 - 11*s**5/5 + 121*s**4/2 - 2662*s**3/3 - 78*s**2. Factor w(r).
4*(r - 11)**3
Let g be 2/8 - ((-18)/24 + 4). Let n(i) = 2*i**4 - 2*i**3 - 6*i**2. Let s(z) = -2*z**4 + 3*z**3 + 7*z**2 + 1. Let b(f) = g*n(f) - 2*s(f). Factor b(j).
-2*(j - 1)**2*(j + 1)**2
Let r be ((-1)/(-60))/((-3)/((-77352)/92)). Let u = r - 1/230. Determine q so that -2/3*q - 4/3*q**2 + 0 + u*q**3 - 8/3*q**4 = 0.
-1/4, 0, 1
Let s(p) = -1812*p - 16306. Let f be s(-9). Determine j, given that 14/5*j**f + 0 - 4/5*j - 2*j**3 = 0.
0, 2/5, 1
Let h(u) be the second derivative of u**5/105 - 2*u**4/21 + 2*u**3/7 - 7*u**2/2 - 13*u. Let n(z) be the first derivative of h(z). Factor n(p).
4*(p - 3)*(p - 1)/7
Let m(t) = -t**2 - 14*t + 18. Let z be m(-15). Let -3*d + 12 - z + d**2 - 7 = 0. Calculate d.
1, 2
Let q(b) be the first derivative of 3*b**4/8 + b**3/2 - 3*b**2 - 6*b + 22. Factor q(t).
3*(t - 2)*(t + 1)*(t + 2)/2
Let z(d) be the second derivative of -d**6/90 + 3*d**5/20 - 2*d**4/3 + 10*d**3/9 - 153*d. Solve z(p) = 0 for p.
0, 2, 5
Let l(z) be the first derivative of z**4 - 44*z**3/3 + 20*z**2 + 321. Factor l(b).
4*b*(b - 10)*(b - 1)
Suppose -6*t = -t - 10. Let y be (-8)/42*((-9)/t + 3). Factor 0 + 0*l**2 + 0*l + y*l**3.
2*l**3/7
Let s be ((-8)/10)/((-42)/105). Let b be s - 2 - (-3 - 0). Factor 0*g - 3*g + b*g + 2*g**3.
2*g**3
Let i(h) be the third derivative of -h**6/420 - h**5/105 + 5*h**4/28 + 100*h**2. Suppose i(a) = 0. What is a?
-5, 0, 3
Let j(h) = -h**2 + 1. Let i(t) = 7*t**2 - 40*t + 58. Let d(c) = -i(c) - 2*j(c). Determine n, given that d(n) = 0.
2, 6
Suppose -41*i = -37*i + 52. Let k = 15 + i. Factor 2/5*q**4 + 8/5*q + 12/5*q**k + 8/5*q**3 + 2/5.
2*(q + 1)**4/5
Let o(i) be the first derivative of i**4/2 - 56*i**3/3 - 59*i**2 - 60*i + 140. Factor o(g).
2*(g - 30)*(g + 1)**2
Let v be ((39/(-52))/((-3)/12))/(45/24). Factor -2/5 + v*c - 8/5*c**2.
-2*(2*c - 1)**2/5
Let k(n) be the second derivative of -5/39*n**4 - 1/39*n**6 - 10*n - 1/13*n**5 + 0 - 5/39*n**3 - 1/273*n**7 - 1/13*n**2. Find w, given that k(w) = 0.
-1
Suppose -5 = 3*n + 4*a, -5*n + 38*a = 33*a - 50. Determine r so that 33/2*r**2 - 3/2*r**3 + 6 - 9/2*r**4 + 3/2*r**n - 18*r = 0.
-2, 1, 2
Let s = -1252 + 1252. Let -12/13*v**4 - 24/13*v**3 - 2/13*v**5 - 16/13*v**2 + s*v + 0 = 0. Calculate v.
-2, 0
Let a = -138 + 140. Let b(u) be the first derivative of a*u**2 - 5 - 3/4*u**4 + 0*u**3 - 1/5*u**5 + 0*u. What is t in b(t) = 0?
-2, 0, 1
Let z be ((-342)/(-1197))/(-1*1/(-7)). What is i in -4/3 + 14/3*i**2 - 10/3*i**4 + z*i**3 - 2*i = 0?
-1, -2/5, 1
Let r(u) be the second derivative of -u**5/190 + 7*u**3/57 - 6*u**2/19 + u - 7. Determine o, given that r(o) = 0.
-3, 1, 2
Let q(t) be the first derivative of 2*t + 0*t**3 + 0*t**2 + 4 + 0*t**4 + 1/110*t**5. Let s(b) be the first derivative of q(b). Solve s(u) = 0.
0
Let s = 7994/3 - 2664. Determine f so that 2*f**2 + s - 2/3*f**3 - 2*f = 0.
1
Factor 0 + 3/5*m**2 - 12/5*m.
3*m*(m - 4)/5
Let d = 839/2 + -2357/6. Factor 40/3*q + d + 5/3*q**3 - 35/3*q**2.
5*(q - 4)**2*(q + 1)/3
Let p be (3 - 4) + 22 - -2. Suppose 0 = c + 4*s + 2, -6*s = 2*c - 3*s - 1. Solve 5*f**4 - 3*f**4 + 10*f - p*f**c - 2*f**3 - 4 + 17*f**2 = 0 for f.
-2, 1
Let y(a) be the first derivative of -5*a**5 + 5*a**4/4 + 7*a**3 - 9*a**2/2 + 124. Factor y(c).
-c*(c + 1)*(5*c - 3)**2
Let c(t) = 3*t**2 - 5*t - 7. Suppose 0 = 5*d - 3 - 2. Let f(i) = i**2 + i + 1. Let n(h) = d*c(h) - 5*f(h). Factor n(a).
-2*(a + 2)*(a + 3)
Let n be (-119)/6 - (-4 + 1). Let p = n - -52/3. What is l in -p*l + 1/2*l**2 + 0 = 0?
0, 1
Let c be (3/(-4)*2)/((-22)/44). Let f be -4 + (-1)/(-12)*c*36. Factor 0*z**2 + 0 - 2/5*z**4 + 1/5*z**3 + 0*z - 3/5*z**f.
-z**3*(z + 1)*(3*z - 1)/5
Let t = -50 + 124. Let r = t - 47. Factor -33*g**3 + 6*g**4 + 27*g**2 - 12*g + r*g**2 - 14 - 10.
3*(g - 2)**3*(2*g + 1)
Let j(o) be the second derivative of -o**6/10 - 3*o**5/10 + 3*o**4 + 20*o**3 + 48*o**2 + o + 284. Determine u so that j(u) = 0.
-2, 4
Factor -32*z**3 + 40*z**2 - 52*z**2 + 104*z + 4*z**4 - 22 - 42 + 0*z**3.
4*(z - 8)*(z - 1)**2*(z + 2)
Let b(o) be the third derivative of o**6/15 - 11*o**5/15 + 2*o**4 + 6*o**3 + 510*o**2. What is z in b(z) = 0?
-1/2, 3
Let k(r) = r + 12. Le