, 2, 11
Suppose -34*v - 5*h - 12 = -33*v, h - 12 = -5*v. Suppose -40*a**v - 1950*a**2 + 1950*a**2 + 6*a**5 - 118*a**4 = 0. Calculate a.
-1/3, 0, 20
Let o(j) = 11*j**2 - 415*j + 431. Let v(k) = 26*k**2 - 825*k + 862. Let n(a) = -14*o(a) + 6*v(a). Find p, given that n(p) = 0.
-431, 1
Let g = 1181/7 - 176. Let h = g - -276/35. What is n in -6/5*n**4 + 12/5*n**2 + 3/5*n - 6/5 + h*n**5 - 6/5*n**3 = 0?
-1, 1, 2
Factor 76*a**2 + 0 - 4/5*a**3 - 376/5*a.
-4*a*(a - 94)*(a - 1)/5
Let y = 972 - 1768. Let w = 798 + y. Factor 1 + 241/8*a**3 + 13*a**4 + 19/2*a + 115/4*a**w + 2*a**5.
(a + 2)**3*(4*a + 1)**2/8
Let b = -39 + 43. Let -5*o**2 - 3/4*o**3 - b - 9*o = 0. Calculate o.
-4, -2, -2/3
Suppose 107*f - 2*f - 165795 = 0. Let z = f - 7894/5. Factor z - 4/5*h**3 + 4/5*h - 1/5*h**2.
-(h - 1)*(h + 1)*(4*h + 1)/5
Let j(f) be the second derivative of f**4/15 - 38*f**3/5 - 236*f**2/5 - 3527*f. Factor j(x).
4*(x - 59)*(x + 2)/5
Let t(p) be the second derivative of p**8/1344 - p**7/210 - p**6/40 + 21*p**2 - 14*p. Let h(k) be the first derivative of t(k). Find j such that h(j) = 0.
-2, 0, 6
Determine q, given that 2/3*q**3 - 6*q**2 + 50/3 + 10*q = 0.
-1, 5
Factor 2160 + 552*q + 1/3*q**3 + 77/3*q**2.
(q + 5)*(q + 36)**2/3
Suppose f + 2 = y, -2*f = y - f - 4. Let r(m) be the second derivative of 0 - 1/3*m**4 - 8*m**2 - 10/3*m**y + 5*m. Solve r(b) = 0.
-4, -1
Let n be 5364/153 + -18 - (-2)/(-34). Let u(s) be the first derivative of 28*s**2 - 12*s - 28/3*s**3 - 4*s**4 - n. Factor u(v).
-4*(v - 1)*(v + 3)*(4*v - 1)
Let n = -124 - -146. Let -82*h + n*h - 87*h**2 - 18*h + 90*h**2 = 0. Calculate h.
0, 26
Let a(l) be the second derivative of l**6/360 + 23*l**5/60 + 529*l**4/24 + l**3/6 - 4*l**2 + 2*l - 6. Let h(s) be the second derivative of a(s). Factor h(p).
(p + 23)**2
Let v(n) = n**2 - 1. Let p(l) = -20*l**3 - 61*l**2 - 55*l - 14. Let m = -68 - -72. Let r be ((-1)/2)/(m/8). Let d(w) = r*p(w) + 4*v(w). Solve d(a) = 0 for a.
-2, -1, -1/4
Let b(o) be the second derivative of -o**4/30 - 3116*o**3/15 - 2427364*o**2/5 - 1346*o - 1. Factor b(z).
-2*(z + 1558)**2/5
Let l = 534/31 - 22397/1302. Let h(q) be the third derivative of -2/21*q**3 + 0*q + 0 - l*q**4 - 13*q**2 - 1/420*q**5. What is c in h(c) = 0?
-2
Suppose 174 = 2*k + 140. Factor -9*a - k*a**2 - 26*a**2 + 40*a**2.
-3*a*(a + 3)
Let i be 47/((-50)/(-15) + -3). Let u = i - 137. Factor b + 1/4*b**5 + b**2 - 3/4*b**3 - 1/2*b**u + 0.
b*(b - 2)**2*(b + 1)**2/4
Let x be 64 + (17 - 17)/(1 + -3). Let t be ((-2)/(-72))/(8/x). Suppose -4/9 - 2/9*o + t*o**2 = 0. Calculate o.
-1, 2
Let j = 63505 + -63503. Let 10/3*o**j - 8/3 - 38/3*o = 0. Calculate o.
-1/5, 4
Factor 2/3*h**2 + 36*h - 224/3.
2*(h - 2)*(h + 56)/3
Let h(o) be the third derivative of o**8/336 + 187*o**7/840 - 17*o**6/160 - 187*o**5/240 + 47*o**4/96 + 23*o**2 + 2*o - 51. What is r in h(r) = 0?
-47, -1, 0, 1/4, 1
Let o(z) = -6*z**3 + 174*z**2 - 354*z + 186. Let q(j) = 56*j + j**3 - 37 - 23*j**2 + 15*j - 18*j**2 + 6*j**2. Let w(h) = -3*o(h) - 14*q(h). Factor w(n).
4*(n - 5)*(n - 2)*(n - 1)
Solve -46/7*b**3 + 0*b**2 + 10/7*b**4 + 32/7 + 88/7*b = 0 for b.
-1, -2/5, 2, 4
Let b(a) = -6*a**5 + 29*a**4 + 25*a**3 - 10*a. Let y = -381 - -376. Let z(l) = 3*l**5 - 15*l**4 - 12*l**3 + 6*l. Let w(d) = y*z(d) - 3*b(d). Factor w(r).
3*r**3*(r - 5)*(r + 1)
Determine m, given that -4*m**3 + 333 + 1268*m + 671 + 13135*m**2 + 4756 - 12519*m**2 + 2536*m = 0.
-3, 160
Let y be (-5)/((-100)/5)*-4. Let c(g) = g**2 - g + 1. Let i(p) = -1 - 7*p + 3*p**2 + 7*p - p**3. Let h(a) = y*i(a) + c(a). Factor h(x).
(x - 2)*(x - 1)*(x + 1)
Let q = -45209/9 - -5025. Let c(s) be the first derivative of 1 + q*s - 2/3*s**2 - 4/27*s**3. Determine k, given that c(k) = 0.
-4, 1
Let q(y) = -335*y - 8375. Let z be q(-25). Determine r so that 0*r**2 + 4/5*r**3 + 2*r**4 + 0 - 14/5*r**5 + z*r = 0.
-2/7, 0, 1
Let t = 108 - 106. Let n be 1/3 - 6 - -3*t. Find w such that -1/6*w**2 - 1/6 - n*w = 0.
-1
Factor 2112/7 - 300*a + 516/7*a**2 + 3/7*a**3.
3*(a - 2)**2*(a + 176)/7
Let z(c) be the first derivative of -c**4/20 + 14*c**3/15 - 23*c**2/10 - 22*c + 1391. Factor z(y).
-(y - 11)*(y - 5)*(y + 2)/5
Let s = 755 - 391. Let y = -359 + s. What is q in -6/5*q**4 + 0 + 6/5*q**2 + 0*q - 3/5*q**3 + 3/5*q**y = 0?
-1, 0, 1, 2
Let q(z) be the second derivative of z**4/3 - 26*z**3 - 164*z**2 + 3*z - 137. Find y, given that q(y) = 0.
-2, 41
Suppose 2*p + 262 = k - 412, -12 = 3*p. Factor -663*s + 1353*s - 3*s**4 - 51*s**2 + 30*s**3 - k*s.
-3*s*(s - 8)*(s - 1)**2
Let b(l) be the second derivative of -l**7/1260 - l**6/18 + 89*l**4/12 + 6*l + 4. Let o(u) be the third derivative of b(u). What is x in o(x) = 0?
-20, 0
Let w be (-140 + 1)*(73 + -58). Let s = 2089 + w. Let -3*f - 6*f**3 + 0 - 3/2*f**s - 15/2*f**2 = 0. What is f?
-2, -1, 0
Let b be (175/(-28) - -4)*(-4)/3. Suppose -5*h + 25 = 0, b*h + 11 = -4*m + 34. Find s, given that 0*s**3 + 2/5*s + 0 - 4/5*s**4 + 4/5*s**m - 2/5*s**5 = 0.
-1, 0, 1
Suppose -4*d = 6*i - 5*i - 884736, 2*i = -5*d + 1105920. Factor 130*r**2 + 2*r**3 + 13824*r + d + 132*r**2 + 13*r**2 - 39*r**2 + 52*r**2.
2*(r + 48)**3
Let r(v) = -2*v**2 + 15*v + 13. Let q be r(8). Let -15 + i**2 - 15 + 34 - q = 0. Calculate i.
-1, 1
Find m such that 5*m**3 - 2 - 6*m**3 - 3*m**2 - m**2 + 0*m**2 - 5*m = 0.
-2, -1
Let r(l) be the second derivative of -2 - l**4 - 1/120*l**6 - 15/8*l**2 - 122*l - 23/12*l**3 - 9/40*l**5. Factor r(d).
-(d + 1)**3*(d + 15)/4
Let u(q) = q**2 - 16*q - 17. Suppose 25*y - 2*y = 391. Let i be u(y). Factor i*a**2 - 5/3*a**3 + 5/6*a**4 - 5/6 + 5/3*a.
5*(a - 1)**3*(a + 1)/6
Suppose 7*n + 298 = -4*n + 353. Let g(c) be the first derivative of -3/10*c**n - 19 + 0*c**2 + 0*c + 0*c**4 + 1/2*c**3. Let g(v) = 0. Calculate v.
-1, 0, 1
Let d(m) = -132*m**3 + 7790*m**2 - 114*m - 234. Let q be d(59). Determine o so that 7/2*o**2 - 3/2*o - q = 0.
-4/7, 1
Suppose 2*d = -b + 3, 0 = 13*b - 8*b - 2*d - 15. Let -22*x**3 + 38*x**b - 17*x**3 + 4*x**2 = 0. Calculate x.
0, 4
Let c = 678 - 649. Factor -104*x**3 - 16 + 36*x**3 + c*x**2 + 37*x**3 - x + 32*x**3 - 13.
(x - 1)*(x + 1)*(x + 29)
Let g = -933/494 - -1009/494. Let -2/13*x**3 + 0 + 12/13*x - g*x**2 = 0. What is x?
-3, 0, 2
Let q = -5/22 - -8/11. Suppose 0 = -82*o + 5186 - 5022. Factor -1/4*y + 1/4*y**o - q.
(y - 2)*(y + 1)/4
Let r(w) = w**2 - 2*w + 1. Let s(h) = 12*h**2 - 435*h + 9. Let k(q) = 9*r(q) - s(q). Let k(m) = 0. Calculate m.
0, 139
Let s(w) be the second derivative of 5*w**7/273 - 23*w**6/195 - 23*w**5/26 + 383*w**4/78 + 670*w**3/39 + 200*w**2/13 - 1655*w. Suppose s(m) = 0. What is m?
-4, -1, -2/5, 5
Let j = 120 + -60. Determine l, given that j*l - 4*l**2 - 54*l + 7*l**2 = 0.
-2, 0
Suppose 38 = d + 113. Let v be d/9*18/(-15). Factor 2*p**2 - v*p - 1 + 6 + 0 + 3.
2*(p - 4)*(p - 1)
Let f be 31/((-3410)/(-1298)) - 11. Suppose -f*o**2 - 24/5 - 4*o = 0. What is o?
-3, -2
Let o(d) be the third derivative of d**6/180 - 7*d**5/60 + d**4 - 21*d**3/2 - 2*d**2 - 27. Let x(j) be the first derivative of o(j). Let x(m) = 0. What is m?
3, 4
Let p(q) be the second derivative of q**4/9 + 9196*q**3/9 + 10570802*q**2/3 - 5497*q. Let p(j) = 0. What is j?
-2299
Let q = -16377 - -16383. Let p(m) be the second derivative of -1/4*m**4 + 3*m**2 + 7/6*m**3 + 0 + q*m. Factor p(v).
-(v - 3)*(3*v + 2)
Factor 0 + 30/7*b**3 + 216/7*b + 144/7*b**2 + 2/7*b**4.
2*b*(b + 3)*(b + 6)**2/7
Let d(m) = 1835*m - 14680. Let q be d(8). Let -96/5 + 56/5*c - 2/5*c**3 + q*c**2 = 0. What is c?
-6, 2, 4
Find j, given that 48 + 120*j**2 + 1248*j**2 + 63*j**5 + 6670*j - 6046*j + 447*j**4 + 1176*j**3 = 0.
-2, -1, -2/21
Let z(f) be the first derivative of -2*f**6/15 - 348*f**5/25 - 1418*f**4/5 + 30464*f**3/5 + 101376*f**2/5 - 4527. Determine c, given that z(c) = 0.
-48, -2, 0, 11
Find b, given that -39*b + 1/2*b**2 + 720 = 0.
30, 48
Let v(b) be the first derivative of 12*b**5/5 + 39*b**4/4 - b**3 - 39*b**2/2 - 9*b - 4885. Find t such that v(t) = 0.
-3, -1, -1/4, 1
Let d(y) be the first derivative of -6*y**5/25 - 15*y**4/4 + 41*y**3/5 - 21*y**2/5 - 131. Find c such that d(c) = 0.
-14, 0, 1/2, 1
Solve 9/5*w**2 + 12/5*w**3 - 42/5*w - 3/5*w**4 + 24/5 = 0.
-2, 1, 4
Suppose -4 = -2*c - 4*l + l, 4*c = 5*l + 30. Factor 7*g**2 - 87*g**2 - 15*g**c + 20*g**4 + 10*g**5 + 80*g.
-5*g*(g - 2)**3*(g + 2)
Let u(p) = 51*p**4 - 80*p**3 