3, 2/3, 1
Let n(t) be the third derivative of -t**6/24 - 25*t**5/6 - 3095*t**4/24 - 475*t**3 + 7363*t**2. Factor n(l).
-5*(l + 1)*(l + 19)*(l + 30)
Let k be (1 - (-15)/(-12))*(147 + -147). Find u such that 136*u**4 - 64*u**5 - 321/4*u**3 - 1/4*u + k + 17/2*u**2 = 0.
0, 1/16, 1
Let g(o) = -o**3 - o**2 + 1. Let x(w) = -9*w**4 + 11*w**3 + 16*w**4 - 3*w**2 - 4*w**4 - 6*w - 2*w**4 + 2. Let d(p) = -5*g(p) - x(p). Factor d(v).
-(v - 1)**2*(v + 1)*(v + 7)
Suppose -4*u + 5*y = -6*u - 1757, 0 = -3*u + 5*y - 2673. Let l = u - -887. Find t, given that -l - 3/2*t**2 + 1/4*t**3 + 9/4*t = 0.
1, 4
Let w(o) be the first derivative of -o**4/12 + 40*o**3/3 - 575*o**2/6 - 4354. Solve w(z) = 0 for z.
0, 5, 115
Let w(t) be the third derivative of -t**7/1050 - 2*t**6/25 + t**5/300 + 2*t**4/5 + 4*t**2 + 1. Let w(i) = 0. What is i?
-48, -1, 0, 1
Let m(x) be the second derivative of -4*x + 13 + 0*x**3 - 1/36*x**4 + 2/3*x**2. Determine f so that m(f) = 0.
-2, 2
Let b(s) be the second derivative of -s**5/15 + s**4/4 + 2*s**3/3 - 35*s**2 + 7*s + 1. Let i(q) be the first derivative of b(q). Suppose i(p) = 0. Calculate p.
-1/2, 2
Let u be 4433/77 + 5 - ((-1210)/70 - -17). Find j such that -242/7 + 40/7*j**3 - u*j - 156/7*j**2 - 2/7*j**4 = 0.
-1, 11
Let y(g) be the first derivative of 7*g**6/57 - 1230*g**5/19 - 1101*g**4/19 + 1760*g**3/57 - 2857. Suppose y(r) = 0. Calculate r.
-1, 0, 2/7, 440
Let v be (2 - -1)/12 + (-55)/(-4). Factor -s**3 - 4*s**2 - v*s**3 + 24*s - 5*s**3.
-4*s*(s - 1)*(5*s + 6)
Let l(p) be the second derivative of -2*p**7/21 + 17*p**6/3 - 61*p**5/5 - 22*p**4/3 + 124*p**3/3 - 41*p**2 + 16*p + 87. Find x, given that l(x) = 0.
-1, 1/2, 1, 41
Solve 28 + 109/2*i + 99/4*i**2 - 1/4*i**4 - 2*i**3 = 0.
-14, -1, 8
Let n(q) = 2*q**2 + 63*q + 145. Let f be n(-29). Suppose -8*w + w = f. What is r in 1/7*r**4 - 3/7*r**2 + 2/7*r**3 + w*r + 0 = 0?
-3, 0, 1
Let v = -118 - -125. Let 106*p + v*p**2 - 16*p**2 - 94*p - 3 = 0. What is p?
1/3, 1
Let i(m) = -5*m**3 - 94*m**2 + 2500*m - 12. Let s be (-4)/8*2 - (-2 - -6). Let y(w) = 4*w**3 + 95*w**2 - 2500*w + 10. Let j(b) = s*i(b) - 6*y(b). Factor j(f).
f*(f - 50)**2
Let b(r) be the first derivative of r**6/60 + r**5/20 - r**4/32 - 7*r**3/48 - r**2/8 + 50*r + 37. Let z(x) be the first derivative of b(x). Factor z(g).
(g - 1)*(g + 2)*(2*g + 1)**2/8
Suppose -n - 7 = -2*x, 15*n = -5*x + 16*n + 16. Let 7/4*s**4 - s**5 + 9/2*s**x - 7/2*s - 3/4 - s**2 = 0. What is s?
-1, -1/4, 1, 3
Determine l, given that 3/2*l**3 + 1/4*l**4 - 225/4 - 4*l**2 - 75/2*l = 0.
-5, -3, 5
Find o, given that -55*o + 1708 - 1708*o**2 + 4*o**3 - 45*o + 104*o - 3*o**3 - 5*o**3 = 0.
-427, -1, 1
Let l(a) = 147*a**2 - 84*a + 8. Let w(i) = -147*i**2 + 84*i - 13. Let y(v) = 1. Let u(z) = -w(z) - 4*y(z). Let r(d) = -3*l(d) + 4*u(d). Factor r(o).
3*(7*o - 2)**2
Let a = 20040619/7304 - 3601/664. Let f = -2736 + a. Solve -24/11 - 2/11*n**2 + f*n = 0 for n.
1, 12
Let w(n) be the first derivative of -40*n + 4/3*n**3 - 6*n**2 - 17. Determine j, given that w(j) = 0.
-2, 5
Let h(y) be the third derivative of -y**8/6720 + y**7/420 - y**6/80 + 103*y**4/24 - 7*y**2 - 2. Let g(m) be the second derivative of h(m). Factor g(w).
-w*(w - 3)**2
Let o = -153 + 176. Factor 4*j**4 - o*j - 32*j - 52*j**2 - 20*j**3 + 27*j.
4*j*(j - 7)*(j + 1)**2
Let n(w) be the third derivative of w**9/120960 + w**8/13440 + w**7/5040 + w**5/15 + w**4/4 - 58*w**2. Let y(d) be the third derivative of n(d). Factor y(f).
f*(f + 1)*(f + 2)/2
Let -20*j**3 + 23200 + 42*j**3 - 7*j**2 - 15*j**2 + 0*j**2 - 20*j**3 - 1520*j = 0. What is j?
-29, 20
Let b(r) be the first derivative of -4*r**3/3 + 36*r**2 + 972*r - 1434. Factor b(g).
-4*(g - 27)*(g + 9)
Let z(h) = 2*h**4 - 90*h**3 - 97*h**2 - 15*h - 5. Let b(d) = -3*d**4 + 87*d**3 + 96*d**2 + 18*d + 6. Let f(j) = -5*b(j) - 6*z(j). Factor f(x).
3*x**2*(x + 1)*(x + 34)
Suppose 4*f = 2*a - 30, -f + 15 = 4*a - 0. What is g in 3*g**2 + 20*g**a + 7*g**2 + 0*g - 15*g**5 - 4*g - g - 10*g**4 = 0?
-1, 0, 1
Determine q so that 11*q**3 + 27/2*q + 19*q**2 - 1/2*q**5 + 3/2*q**4 + 7/2 = 0.
-1, 7
Find j, given that 7*j**4 - 249*j**2 - 70*j - 727*j**3 + 353*j**3 + 362*j**3 = 0.
-5, -2/7, 0, 7
Let z(r) be the second derivative of r**6/15 - 13*r**5/10 + 7*r**4 + 4438*r. Find k such that z(k) = 0.
0, 6, 7
Let g = -185179/4 + 46295. Factor 0 + 0*l + g*l**3 - 3/4*l**2.
l**2*(l - 3)/4
Suppose -41*d + 35*d - 18 = 0. Let r be (4/d)/((-110)/120). Factor r*n + 2/11*n**2 + 32/11.
2*(n + 4)**2/11
Let y = -64 - -21. Let f = y - -47. Suppose 35*a**2 - f - 25*a**2 - 5*a**4 - 1 = 0. Calculate a.
-1, 1
Determine m, given that 1100*m**2 - 453750*m + 0 - 2/3*m**3 = 0.
0, 825
Let m(x) = -x**2 - 9*x. Let o(s) = 3*s**2 + 449*s - 402. Let j(p) = -10*m(p) - 2*o(p). Determine c so that j(c) = 0.
1, 201
Let b(s) = 53*s**3 - 2*s**2 + 10*s - 9. Let j be b(1). Let o be j/(-65) + ((-2)/(-2) - 0). Solve o*r**2 + 36/5 - 12/5*r = 0.
6
Let s be (-1)/(-10)*-4 + (-34)/(-85). Let d(k) be the third derivative of -1/16*k**4 + 0 + 0*k**3 - 24*k**2 - 1/80*k**5 + s*k. Solve d(i) = 0 for i.
-2, 0
Let r be (-6)/10 + (-24 - -53 - (-1195)/(-50)). Determine c so that -3*c**3 - 36*c - 54*c**2 + 48 + r*c**4 = 0.
-2, 2/3, 4
Let f(s) be the third derivative of s**5/30 + 97*s**4/3 - 1913*s**2. Factor f(a).
2*a*(a + 388)
Let f be ((-493)/51 + 11)*52/(-16)*-3. Let t(i) be the first derivative of -8*i - 6*i**2 - 1/4*i**4 + f - 2*i**3. Factor t(u).
-(u + 2)**3
Let b = -1346 - -1336. Let t be b/225*-10*(-195)/(-10). Find n, given that 10/3*n**3 - 50/3*n**2 + 8 - 16/3*n + 2*n**5 + t*n**4 = 0.
-3, -2, -1, 2/3, 1
Suppose 50 = -5*n + 10*n. Suppose n*j - 4*j = 12. Factor 26*d**j - 6*d**2 - 34*d**3 - d**4 - 19*d**4 + 30*d**3 + 4*d.
-4*d*(d - 1)*(d + 1)*(5*d + 1)
Suppose 0 = 4*a + 3*w - 42, -18*a - 3*w + 42 = -22*a. Determine z, given that 5/2*z - 15/4 - 5/2*z**5 + a*z**3 - 35/4*z**4 + 25/2*z**2 = 0.
-3, -1, 1/2, 1
Let b = 541/73 + -2486/365. Factor -9/10 - b*j - 1/10*j**2.
-(j + 3)**2/10
Let p(d) be the second derivative of 1/15*d**6 + 1/210*d**7 + 24*d + 31/100*d**5 + 0 - 16/15*d**3 + 11/30*d**4 - 16/5*d**2. What is l in p(l) = 0?
-4, -2, -1, 1
Solve 8/5*z + 2/15*z**2 + 24/5 = 0.
-6
Let s(g) be the second derivative of 0*g**2 + 0 - 28*g - 2/3*g**3 - 1/6*g**4. Factor s(u).
-2*u*(u + 2)
Let s(v) be the second derivative of 36*v - 1/21*v**4 + 22/21*v**3 - 20/7*v**2 + 0. Factor s(q).
-4*(q - 10)*(q - 1)/7
Let p(b) be the second derivative of 49*b**4/96 - 805*b**3/2 + 119025*b**2 + 2*b + 928. Factor p(g).
(7*g - 1380)**2/8
Let m(c) be the first derivative of 12 + 2 + 8 + c**3 + 12*c**2. Factor m(j).
3*j*(j + 8)
Let i(y) be the third derivative of y**6/300 - 3*y**5/25 + 13*y**4/12 - 10688*y**2. Find r such that i(r) = 0.
0, 5, 13
Let y(b) be the first derivative of -b**6/120 + b**5/30 + 5*b**4/24 - b**3 + 13*b**2 + 26. Let g(p) be the second derivative of y(p). Let g(t) = 0. Calculate t.
-2, 1, 3
Let -198*v - 138*v**2 - 54*v**4 + 3/2*v**5 + 393/2*v**3 + 192 = 0. What is v?
-1, 1, 2, 32
Let s(d) be the third derivative of -5*d**8/168 - 17*d**7/42 + 77*d**6/24 - 41*d**5/6 + 5*d**4 + 7270*d**2. Suppose s(c) = 0. What is c?
-12, 0, 1/2, 1, 2
Find r such that 328*r**2 - 38 - r**3 + 46 - 333*r**2 - 2*r = 0.
-4, -2, 1
Suppose 0 = -14167*s + 14174*s - 21. Let c(w) be the second derivative of 0 - 1/40*w**5 + 8*w - 1/3*w**s + 5/24*w**4 + 0*w**2. Factor c(i).
-i*(i - 4)*(i - 1)/2
Let i(y) be the third derivative of y**7/28 + 11*y**6/10 + 369*y**5/40 - 81*y**4/8 + 7*y**2 - 69*y. Determine h so that i(h) = 0.
-9, 0, 2/5
Let k(m) be the first derivative of -11/18*m**4 - 5/9*m**2 - 100/9*m + 2/45*m**5 + 22/9*m**3 - 83. Solve k(w) = 0 for w.
-1, 2, 5
Let z be (48/(-180))/((-32)/90 - (-116)/522). Factor o**z + 1/4*o**4 + 0 + o**3 + 0*o.
o**2*(o + 2)**2/4
Let m be ((-40)/300*9)/(-2). Factor 33/5*y**2 - m*y + 0.
3*y*(11*y - 1)/5
Suppose 4*p - 2 + 10 = 4*i, i - 8 = -2*p. Determine b, given that 18*b**2 + 3*b**4 - 7*b**4 + 8*b**3 - 4*b - 4 - 10*b**p - 4*b**5 = 0.
-1, 1
Factor -688*y + 93*y**2 - 287 + 31 + 10*y**3 - 209*y**2.
2*(y - 16)*(y + 4)*(5*y + 2)
Let j(f) be the third derivative of -f**7/35 + 17*f**6/30 - 14*f**5/5 - 6*f**4 - 495*f**2. Find r such that j(r) = 0.
-2/3, 0, 6
Suppose 73 - 85 = -3*j. Suppose -j*u = 2 - 14. Factor -4/7*r + 4/7*r**u - 8/7 + 8/7*r**2.
4*