tor -3/2*y**3 + 0*y**4 + v*y**5 + 0*y**2 + 0 + s*y.
3*y*(y - 1)**2*(y + 1)**2/4
Suppose s - r = 2, s + s - r - 4 = 0. Let k(i) = -i**2 - 11*i + 29. Let p be k(-13). Suppose 31*d**2 + 2*d**3 - 6*d**p - 33*d**s = 0. What is d?
-1/2, 0
Let i(d) be the second derivative of 7 + 20/39*d**3 + 1/78*d**4 - 44/13*d**2 - 2*d. Factor i(x).
2*(x - 2)*(x + 22)/13
Let a(y) be the first derivative of -y**4/18 + 79*y**3/18 + 20*y**2/3 - 149*y - 43. Let x(s) be the first derivative of a(s). Factor x(c).
-(c - 40)*(2*c + 1)/3
Let s(h) = -2*h**2 + 30*h - 101. Let u be s(4). Let t be -5*((-78)/(-45))/u. Solve 1/3*q - t*q**2 + 1/3*q**3 + 0 = 0 for q.
0, 1
Let l = -974076083/477 - -2042089. Let d = l + 6/53. Factor -d*m**2 - 4/9 + 2/9*m**3 + 10/9*m.
2*(m - 2)*(m - 1)**2/9
Let h(r) be the first derivative of -2/33*r**3 + 2/11*r + 42 + 0*r**2. Solve h(u) = 0 for u.
-1, 1
Let r(s) = 26*s**2 + 9*s + 31. Let x(c) = -3*c**2 - c - 4. Suppose 6*i = 13*i + 42. Let f(a) = i*r(a) - 51*x(a). Find u such that f(u) = 0.
-3, 2
Let y be (1 - 2) + (-9 + 2 - (-325)/39). Let r(i) be the first derivative of 18 - y*i**2 + 1/6*i**4 + 2/9*i**3 - 2/3*i. Determine v, given that r(v) = 0.
-1, 1
Let t be 5510/(-24795) - (-1 + (-40)/18). Let -2/21*z**4 - 6/7*z**t + 0 + 20/21*z**2 + 0*z = 0. Calculate z.
-10, 0, 1
Let i(j) be the third derivative of j**5/30 + 101*j**4/6 + 67*j**3 + j**2 + 39*j + 8. Factor i(z).
2*(z + 1)*(z + 201)
Let l(s) be the first derivative of -s**6/24 - 12*s**5/5 + 16*s**4 - 235*s**3/6 + 369*s**2/8 - 53*s/2 - 2420. Factor l(o).
-(o - 2)*(o - 1)**3*(o + 53)/4
Let m = -460131/4 - -115041. Find r, given that -7/4*r**4 - m*r**3 + 0 + 2*r - 9/2*r**2 = 0.
-4, -1, 0, 2/7
Let g(b) = b**3 + 6*b**2 - 22*b - 11. Let q be g(-10). Let t = q - -195. Suppose 10/3*u**3 + 0 + 0*u**t - 2/3*u**5 - 8/3*u + 0*u**2 = 0. Calculate u.
-2, -1, 0, 1, 2
Let r = 14050 - 126322/9. Let p(z) be the third derivative of -8/9*z**4 + 1/45*z**5 + 21*z**2 + r*z**3 + 0 + 0*z. Suppose p(h) = 0. Calculate h.
8
Find c such that 77 + 29*c**2 - 136*c + 4*c**3 - c**2 - 92 - 145 = 0.
-10, -1, 4
Find m such that 1116269*m**2 - 2220*m - 5*m**5 + 2225*m**3 - 1117369*m**2 - 367*m**4 + 1467*m**4 = 0.
-2, -1, 0, 1, 222
Let s = -407 + 411. Let s*t**5 - 68*t**4 + 108*t**4 - 16*t**2 + 36*t**3 - 64*t**4 = 0. Calculate t.
0, 1, 4
Let y = 116 + -93. Suppose 177*p**3 + y*p**5 + 105*p**2 + 10*p**5 + 13*p + 5*p + 111*p**4 - 4*p**5 - 8*p**5 = 0. What is p?
-3, -1, -2/7, 0
Let l = -18 - -20. Find p, given that -3*p + 11*p**2 - p - 6 - l - 7*p**2 = 0.
-1, 2
Factor -42*w + 1/2*w**2 + 803/2.
(w - 73)*(w - 11)/2
Factor 255*y**2 + 0 + 21675/2*y + 3/2*y**3.
3*y*(y + 85)**2/2
Factor -427*c**4 + 212*c**4 - 64*c**3 + 205*c + 951*c + 442*c**2 + 217*c**4.
2*c*(c - 17)**2*(c + 2)
Let k be -2 - ((-86)/(-20) + -1)/((-7788)/6490). Factor -15/4*r + k*r**2 + 0.
3*r*(r - 5)/4
Suppose 5*w - 278 = -2*z + 7*w, -w - 691 = -5*z. Suppose -r + z - 136 = 0. Factor 0*k + 2/7*k**r + 0 - 2/7*k**3.
-2*k**2*(k - 1)/7
Let b = 93189/16690 + 55/3338. Solve -4/5*j**3 + 68/5*j - 36/5 - b*j**2 = 0.
-9, 1
Let u(n) be the second derivative of -4/9*n**2 - 4/27*n**3 + 1/45*n**5 - 1/135*n**6 + 1/18*n**4 + 1 + 19*n. Factor u(r).
-2*(r - 2)**2*(r + 1)**2/9
Let z(w) be the first derivative of 4*w**3/27 + 38*w**2/3 + 848*w/9 + 135. Factor z(i).
4*(i + 4)*(i + 53)/9
Let y(x) be the first derivative of -x**4/2 - 18*x**3 + 238*x**2 - 2595. Factor y(a).
-2*a*(a - 7)*(a + 34)
Let f(p) = p**2 + p + 3. Let d = -289 + 292. Let o(x) = -5*x**2 - 23*x + 13. Let v(z) = d*f(z) + o(z). Determine i so that v(i) = 0.
-11, 1
Suppose 117*p - 112*p - 5*w = 205, -15*p + 471 = 3*w. Determine q, given that 9/2 - 105/4*q**2 + 21/4*q + p*q**4 + 6*q**5 - 45/2*q**3 = 0.
-6, -1/2, 1/2, 1
Suppose -9602 = -13*a + 2488. Determine q so that 338*q**3 - 1478*q**2 + 418*q - 40 - 108*q**2 - a*q = 0.
-2/13, 5
Suppose -76/7*n**2 + 30/7*n + 0 = 0. Calculate n.
0, 15/38
Let t(a) be the first derivative of a**6/180 - a**5/120 - a**4/12 - 49*a - 58. Let d(f) be the first derivative of t(f). Factor d(y).
y**2*(y - 3)*(y + 2)/6
Let z be (-10)/2 + 68 + 848. Let v = 5467/6 - z. Suppose -5/6*t**3 - 1/6*t**2 + 1/6*t**5 + 4/3*t + v*t**4 - 2/3 = 0. Calculate t.
-2, 1
Let j(d) be the third derivative of d**6/480 - 25*d**5/48 - 4*d**4/3 + 21*d**3/2 - 2572*d**2. Factor j(m).
(m - 126)*(m - 1)*(m + 2)/4
Let u(k) = 0*k**2 - 129*k**2 + 0*k**2 - 45*k**3 - 3*k**5 + 63*k**4. Let g(q) = -q**5 + 16*q**4 - 11*q**3 - 32*q**2. Let t(x) = -9*g(x) + 2*u(x). Factor t(y).
3*y**2*(y - 5)*(y - 2)*(y + 1)
Let w(i) = -i**2 - i + 24. Let x be w(0). Determine o so that -4*o**4 + 9*o**3 + 7*o**3 - x*o**3 + 12*o**2 = 0.
-3, 0, 1
Let o(n) be the second derivative of n**7/21 - 11*n**6/5 - 291*n**5/40 + 97*n**4/6 - 35*n**3/4 - n + 4279. Solve o(z) = 0.
-3, 0, 1/2, 35
Let g be 75/60*(5 + -1). Let v be ((-6)/5)/(((-22)/g)/11). Factor 0*n - 7*n**v + 8*n + 2*n**2 - 8 + 5*n**3.
-2*(n - 2)*(n - 1)*(n + 2)
Let g(p) = 28*p + 38. Let q be g(0). Suppose -4*a**2 - 144 + 154*a - 12*a**4 + 118*a - 74*a**3 - q*a**3 = 0. Calculate a.
-9, -2, 2/3, 1
Factor 414 - 157 - 214 - 258 + 5*m**2 - 210*m.
5*(m - 43)*(m + 1)
Let p = -485 - -488. Suppose -5*b + p*k = -23, k - 31 + 28 = -b. Suppose 36/7*u**3 - 25/7*u**2 - 44/7*u + 12/7 - 4/7*u**5 + 1/7*u**b = 0. Calculate u.
-3, -1, 1/4, 2
Let w be 8/(-48)*-6 + 2. What is z in 52*z**2 + 5*z - z**5 - 4*z**w - 2*z**4 - 34*z**2 - 12 - 4*z**4 = 0?
-4, -3, -1, 1
Let b(g) be the first derivative of -13*g**4/3 + 16*g**3 + 8*g**2 - 49*g + 178. Let d(v) be the first derivative of b(v). Factor d(a).
-4*(a - 2)*(13*a + 2)
Let c be 8/(-36) - (-160)/72. Suppose q - 14 = c*u - 18, 5*u + 2*q = 10. Solve 0*y + 0 + 0*y**u - 2/3*y**3 + 1/3*y**4 = 0.
0, 2
Suppose -4 = -97*a + 96*a. Suppose -c + 4 = 2*d, 4*c - 5 = -d + a*d. What is w in c*w - 2/5*w**2 + 0 = 0?
0, 5
Suppose 0 = -9*d + 2*d. Suppose d*p + 25 = 5*p. Suppose 4*f**5 + 24*f**3 + 0*f**5 - p*f**5 - 18*f**2 + 4*f**5 - 27*f + 18*f**4 = 0. Calculate f.
-3, -1, 0, 1
Let v(i) be the second derivative of i**4/4 - 3*i**3/2 - 195*i**2 + 3975*i. Suppose v(k) = 0. What is k?
-10, 13
Let l = 44906/38415 - 272/2955. Find m such that -32/13 + 2/13*m**4 + 8/13*m + 24/13*m**2 - l*m**3 = 0.
-1, 2, 4
Suppose 154/3*s - 216 + 2/3*s**2 = 0. Calculate s.
-81, 4
Factor -31*b**3 + 42*b**2 + 0*b - 81 - b**4 - 33*b**3 - 28*b**3 - 36*b + 88*b**3.
-(b - 3)**2*(b + 1)*(b + 9)
Solve 1/2*c**2 - 29/4*c + 1/4*c**3 - 15/2 = 0 for c.
-6, -1, 5
Let b = -92 - -95. Let 21*f**2 - 66*f**3 + b*f + 78*f**3 - 9*f = 0. What is f?
-2, 0, 1/4
Find k, given that -44/7*k**2 + 2/7*k**5 - 192/7 - 102/7*k**3 + 16/7*k**4 + 320/7*k = 0.
-12, -2, 1, 4
Let o = 57309/1507 + -116/137. Let z = o + -37. Factor 0*b**2 - 2/11*b**5 + 0*b + z*b**3 + 0*b**4 + 0.
-2*b**3*(b - 1)*(b + 1)/11
Let j(a) = a**2 + 13*a - 43. Let v be j(-16). Let t(y) be the third derivative of 0*y + 1/6*y**4 - 1/3*y**3 + 1/10*y**v + 0 + 5*y**2. What is w in t(w) = 0?
-1, 1/3
Factor -302/3*p**2 + 274/3*p + 28/3.
-2*(p - 1)*(151*p + 14)/3
Let o be 61/((-58926)/(-2001)) - (-1 + 0 - -3). Let a(r) be the first derivative of -1/21*r**3 + 1/28*r**4 + 1/7*r - o*r**2 + 29. What is c in a(c) = 0?
-1, 1
Let d(q) be the second derivative of 13/18*q**4 + 5/6*q**3 - 4/3*q**2 - 21 + 1/20*q**5 - q. Factor d(x).
(x + 1)*(x + 8)*(3*x - 1)/3
Let i(c) be the third derivative of 1/60*c**5 - 4 - 3/2*c**4 + 0*c - 9*c**2 + 54*c**3. Factor i(h).
(h - 18)**2
Let k(i) be the first derivative of -5*i**8/1008 - 5*i**7/126 - i**6/12 - i**2 + 77*i + 70. Let r(f) be the second derivative of k(f). Solve r(a) = 0.
-3, -2, 0
Let y(v) be the second derivative of -5*v**4/12 - 145*v**3/3 - 285*v**2/2 + 891*v. What is b in y(b) = 0?
-57, -1
Let m = -118 - -120. Solve -13*x - 1 - 5 - 5*x**2 + 13*x**m = 0 for x.
-3/8, 2
Factor 0*q**2 + 0 + 1/10*q**4 + 0*q + 21/10*q**3.
q**3*(q + 21)/10
Let j(p) be the third derivative of p**5/20 - 29*p**4/8 + 14*p**3 + p**2 + 521*p. Factor j(t).
3*(t - 28)*(t - 1)
Let w = -12655/756 + 3211/189. What is k in 0*k**2 + k + 0 - w*k**4 - 3/4*k**3 = 0?
-2, 0, 1
Let s(m) = -13*m**4 - 1434*m**3 + 12*m**2 + 4355*m + 2886. Let c(p) = -p**4 + 2*p**3 - p - 2. Let z(k) = -9*c(k) + s(k). Determine r, given that z(r) = 0.
-363, -1, 2
Suppose 0*j = -5*f - j + 30, 0 = 4*f - j - 15. Factor -14*p**2 