(y + 4)*(2*y + 1)
Let a = 209 + -205. Factor -20*f**2 + 5*f**a - 40*f - 118*f**3 + 63*f**3 + 65*f**3.
5*f*(f - 2)*(f + 2)**2
Let w = 1703 + -1300. Suppose -w + 415 = 2*m. What is h in -m*h + 15/4*h**2 - 1/2*h**3 - 4 = 0?
-1/2, 4
Factor -74/13*u**2 + 36/13 + 66/13*u + 16/13*u**3.
2*(u - 3)*(u - 2)*(8*u + 3)/13
Let c(z) be the second derivative of 0 + 882*z**2 + 19/10*z**5 - 73*z - 266*z**3 + 1/30*z**6 + 277/12*z**4. Factor c(w).
(w - 2)**2*(w + 21)**2
Solve 11/3*t**3 - 36*t - 6*t**2 + 72 - 1/3*t**4 = 0 for t.
-3, 2, 6
What is y in -642 - 422*y - 138*y**2 - 378*y**2 + 734*y**2 - 2*y**3 = 0?
-1, 3, 107
Solve 0 - 164/5*u**2 + 2/5*u**4 + 162/5*u**3 + 0*u = 0 for u.
-82, 0, 1
Factor 5/3*n**4 + 0 + 0*n**3 + 1/3*n**5 + 0*n**2 + 0*n.
n**4*(n + 5)/3
Let t(w) = 2*w**4 - 2*w**3 + 2*w**2 - w - 2. Let i(r) = 5*r**5 + 9*r**4 - 79*r**3 + 119*r**2 - 52*r - 4. Let d(b) = i(b) - 2*t(b). Factor d(m).
5*m*(m - 2)*(m - 1)**2*(m + 5)
Let n(d) be the first derivative of -d**6/1080 - d**5/120 + 25*d**3/3 + 57. Let b(k) be the third derivative of n(k). Suppose b(m) = 0. What is m?
-3, 0
Let 30 + 117/2*j**4 - 105/2*j**2 + 144*j - 201/2*j**3 - 15/2*j**5 = 0. What is j?
-1, -1/5, 2, 5
Let q(d) be the first derivative of d**5/150 + 2*d**4/45 - 4*d**3/45 - 16*d**2/15 + 123*d - 111. Let c(y) be the first derivative of q(y). Factor c(m).
2*(m - 2)*(m + 2)*(m + 4)/15
Let g be (-34)/799 + (-7392)/(-3619). Solve -4/3*x + 2 - 2/3*x**g = 0.
-3, 1
Let c(h) be the third derivative of -h**5/360 + 187*h**4/36 - 34969*h**3/9 - 2*h**2 + 509*h. Let c(a) = 0. Calculate a.
374
What is z in -20 - 46/5*z + 102/5*z**2 + 46/5*z**3 - 2/5*z**4 = 0?
-2, -1, 1, 25
Suppose 5683*v = 5679*v - 4*z + 28, v - 2*z + 14 = 0. Suppose -2/5*m**3 + 2/15*m**5 + v - 38/15*m**2 + 14/15*m**4 + 28/15*m = 0. What is m?
-7, -2, 0, 1
Let d(w) be the first derivative of -w**6/80 + 3*w**5/20 - w**4/2 - 8*w**2 + w - 69. Let h(u) be the second derivative of d(u). Factor h(g).
-3*g*(g - 4)*(g - 2)/2
Let m(d) = 13*d**2 - 163*d - 5. Let b(w) = -6*w**2 + 82*w + 2. Let q(t) = 4*t**3 + 1. Let n be q(1). Let s(c) = n*b(c) + 2*m(c). Let s(u) = 0. What is u?
0, 21
Let n(r) be the first derivative of r**5/300 + r**4/15 - r**2/2 + r - 20. Let i(w) be the second derivative of n(w). Factor i(g).
g*(g + 8)/5
Let c = 6315 + -359954/57. Let s(k) be the third derivative of 0 + 1/114*k**4 + 0*k**5 + 0*k - 15*k**2 + c*k**3 - 1/570*k**6 - 1/1995*k**7. Factor s(x).
-2*(x - 1)*(x + 1)**3/19
Let l(p) be the first derivative of -p**6/6 + 16*p**5 + 41*p**4/2 - 80*p**3/3 - 81*p**2/2 + 856. Let l(k) = 0. What is k?
-1, 0, 1, 81
Let a = -12 - -14. Let t = 74539/3 - 24846. Factor 1/6 - 1/6*i**5 - 1/3*i**a + 1/6*i**4 - 1/6*i + t*i**3.
-(i - 1)**3*(i + 1)**2/6
Let x(p) = 54*p - 2534. Let u be x(47). Let t(d) be the second derivative of -10*d**3 + 0 - 90*d**2 - 13*d - 5/12*d**u. Find b such that t(b) = 0.
-6
Let b(g) = -11*g**2 + 7*g**2 + 4 + 6*g**2 + 2*g - g**2. Let d be b(0). Factor -747*z + 2*z**2 + 749*z - 4*z**2 + d.
-2*(z - 2)*(z + 1)
Let w be -1*(-3 + -1) + -2. Suppose 3*h = -w*y - 4, 3*h - y - 24 + 13 = 0. Solve 6/5 - 2/5*r**3 - 14/5*r + h*r**2 = 0.
1, 3
Solve -799*j**2 + 397*j**2 + 6701*j + 755339 + 709*j - 5331014 + 399*j**2 = 0 for j.
1235
Suppose 4706 - 11584*o - 6198 - 6025 - 4*o**4 - 2031*o**2 - 993*o**2 - 284*o**3 - 7587 = 0. Calculate o.
-59, -4
Let q(k) = -k**3 - 7*k**2 + 3. Let t be q(-7). Determine s, given that -3*s**3 + 15*s**4 - 11*s**3 - t*s**5 - s**3 + 21*s - 15*s**2 - 3*s = 0.
-1, 0, 1, 2, 3
Let p = -1777 + 447805/252. Let o(v) be the second derivative of 0*v**6 + 1/36*v**4 + 0 - 1/12*v**3 + 1/30*v**5 - 1/6*v**2 + 16*v - p*v**7. Factor o(x).
-(x - 2)*(x - 1)*(x + 1)**3/6
Solve 1/5*v**3 + 0 + 4658/5*v**2 + 5424241/5*v = 0.
-2329, 0
Let c = -6493/5 - -51959/40. Let j(v) be the first derivative of 1/5*v**5 + 1/4*v + c*v**2 - 5/12*v**3 - 3/16*v**4 + 1. Determine a, given that j(a) = 0.
-1, -1/4, 1
Let q(t) be the second derivative of -t**6/40 + 21*t**5/20 - 15*t**4 + 50*t**3 + 43*t**2/2 + 3*t - 4. Let o(r) be the first derivative of q(r). Factor o(v).
-3*(v - 10)**2*(v - 1)
Let h(b) = -14 - 11*b - b**2 + 0*b**2 - b - 5*b. Let y be h(-16). Factor -5 - 8*a - 4 + 3 - 2*a**y.
-2*(a + 1)*(a + 3)
Let h(a) be the third derivative of -760/3*a**4 + 98/15*a**7 + 0 - 1078/5*a**6 - 20*a**2 + 96*a**3 + 0*a + 1792/5*a**5. Factor h(n).
4*(n - 18)*(7*n - 2)**3
Let j(o) = o**3 - 125*o**2 - 563*o - 435. Let k(x) = -5*x**3 + 875*x**2 + 3940*x + 3045. Let y(g) = 15*j(g) + 2*k(g). Factor y(a).
5*(a - 29)*(a + 1)*(a + 3)
Let h(b) be the second derivative of 3/80*b**5 + 9/8*b**2 - 141*b + 0 - 3/16*b**4 - 1/8*b**3. Solve h(v) = 0.
-1, 1, 3
Suppose 40*u - 28034 + 27954 = 0. Factor -4/3 + 2/3*z**2 - 2*z**3 + 2/3*z**4 + u*z.
2*(z - 2)*(z - 1)**2*(z + 1)/3
Suppose 188 - 123 = -32*k + 129. Let -24/23*p**3 - 2/23*p**4 - 22/23*p**k + 0 + 0*p = 0. Calculate p.
-11, -1, 0
Let t(d) be the first derivative of d**6/6 + 48*d**5/5 + 171*d**4/2 + 904*d**3/3 + 969*d**2/2 + 360*d - 1516. Factor t(c).
(c + 1)**2*(c + 3)**2*(c + 40)
Let w(o) = o**3 + 196*o**2 + 2037*o + 42. Let n be w(-11). Factor 0 - n*a**2 + 2*a**4 + 11/3*a**3 - 100/3*a - 1/3*a**5.
-a*(a - 5)**2*(a + 2)**2/3
Suppose 16*f - 5*f = 385. Solve 5*v**2 + 1568 + f*v + 155*v + 237 = 0 for v.
-19
Determine a, given that -9/2*a - 299/4*a**2 + 0 - 33/4*a**3 = 0.
-9, -2/33, 0
Suppose 3*x + 16 = 7*x + 5*t, 2*x - 2*t = -10. Let k be (-1)/x + 6 + -2. Let 5*h**3 - h**4 + 0 + 11 - 15*h**2 - k*h - 1 + 6*h**4 = 0. What is h?
-2, -1, 1
Factor 3*i**4 + 12*i**3 + 4420*i + 4411*i - 8831*i + 9*i**2.
3*i**2*(i + 1)*(i + 3)
Let a(q) = q**3 + 51*q**2 - 106*q - 4. Let l(s) = -2. Let t(y) = -a(y) + 2*l(y). Determine o so that t(o) = 0.
-53, 0, 2
Let z = -975613/15 + 65041. Factor z*v**2 + 2/3*v + 8/15.
2*(v + 1)*(v + 4)/15
Solve -4776 + 3902*x + 1452 - 3*x**2 - 575*x = 0 for x.
1, 1108
Let s(l) be the first derivative of l**5 + 0*l**2 - 10/3*l**3 + 0*l**4 + 6 + 5*l. Factor s(x).
5*(x - 1)**2*(x + 1)**2
Let n be 62/(-24) + 690/207. Factor 1/8*w**2 - 1/8*w - n.
(w - 3)*(w + 2)/8
Let c(d) be the first derivative of -d**4/10 + 12*d**3/5 - 13*d**2 - 168*d/5 + 3763. Let c(w) = 0. Calculate w.
-1, 7, 12
Let w(h) be the third derivative of 2588881*h**5/40 + 1609*h**4/8 + h**3/4 + 154*h**2 + 17*h. Factor w(t).
3*(1609*t + 1)**2/2
Let a(k) = 17*k**3 + 170*k**2 + 153*k - 22. Let n(h) = 9*h**3 + 84*h**2 + 75*h - 12. Let t(q) = -6*a(q) + 11*n(q). Factor t(r).
-3*r*(r + 1)*(r + 31)
Let m(n) be the second derivative of -n**4/4 - 72*n**3 - 429*n**2/2 + 206*n + 7. What is h in m(h) = 0?
-143, -1
Let c(a) be the second derivative of a**4/48 + 75*a**3/8 + 28*a**2 + 2*a - 821. Let c(m) = 0. What is m?
-224, -1
Let t(z) be the first derivative of 2*z**5/45 - 26*z**3/27 - 4*z**2/3 + 875. Factor t(b).
2*b*(b - 4)*(b + 1)*(b + 3)/9
Let s(w) be the third derivative of -w**8/336 + w**7/630 + w**6/40 + w**5/60 - w**4/36 + 82*w**2 + 5. Solve s(r) = 0 for r.
-1, 0, 1/3, 2
Suppose 0 = -24*y + 5673 - 5601. Let d(w) be the third derivative of -11/12*w**5 + 0*w**y + 0*w + 0 + 13/24*w**6 - 5/12*w**4 - 16*w**2. Factor d(l).
5*l*(l - 1)*(13*l + 2)
Let w(k) = -84*k**4 - 285*k**3 - 15*k**2 + 15*k + 30. Let s(o) = 11*o**4 + 41*o**3 + 2*o**2 - 2*o - 4. Let h(r) = -15*s(r) - 2*w(r). Factor h(p).
3*p**3*(p - 15)
Let m be (27/(-15))/((-18)/30). Suppose 4*u - 2 = m*d, 3*d - 4*u = -3*u + 13. Find j, given that 3/2*j**3 - d + 5/2*j**2 - 8*j = 0.
-3, -2/3, 2
Suppose -5728*w + 2789*w = -2847*w. Factor 4/9*d**3 + 0*d**4 - 2/9*d**5 + 0 + w*d**2 - 2/9*d.
-2*d*(d - 1)**2*(d + 1)**2/9
Let z(x) = -x**3 + 3*x**2 + 3492*x - 10472. Let l be z(3). Determine i, given that 2*i + 0 - 1/3*i**l - 2*i**3 + 1/3*i**2 = 0.
-6, -1, 0, 1
Determine a, given that -3*a**5 - 27*a**3 + 54*a**4 + 2298*a**2 - 2701*a - 4242*a**2 - 1491*a + 304*a = 0.
-3, 0, 12
Let n(y) be the third derivative of 1/68*y**4 - 4/51*y**3 + 0*y + 0 + 177*y**2 + 1/510*y**5. Let n(f) = 0. What is f?
-4, 1
Let k(f) = 5*f**2 + 61*f - 40. Let z = -5 + 11. Let d(c) = -c**2 - 15*c + 10. Let b(s) = z*k(s) + 26*d(s). Factor b(i).
4*(i - 5)*(i - 1)
Let l = 24325/51 + -8080/17. Factor -l - 5/6*b**2 + 5/2*b.
-5*(b - 2)*(b - 1)/6
Let k(p) be the first derivative of 149 + 170*p**2 + p**4 + 176/3*p**3 + 168*p. Factor k(y).
4*(y + 1)**2*(y +