Let v(b) = 6*b + 0*b**2 + b**2 - 6*b. Let g be v(6). Suppose 64*z**2 - 8*z + 65*z**4 + 69*z**4 - g*z**4 - 154*z**3 = 0. What is z?
0, 2/7, 1
Let u(c) be the first derivative of -2*c**6/3 - 12*c**5/5 + 13*c**4 + 188*c**3/3 + 96*c**2 + 64*c - 2189. Let u(y) = 0. What is y?
-4, -1, 4
Let r = 27 - 17. Suppose u - r = -u. Factor 57*v**2 - 7*v + 8 - v**3 - 24*v**2 - u*v - 27*v**2.
-(v - 2)**3
Let k be (-776)/(-70) - (-2)/(-7)*1 - 94790/9479. Suppose -8/5*v**4 - k*v**5 + 36/5*v**3 + 0 + 72/5*v**2 + 0*v = 0. Calculate v.
-3, -2, 0, 3
Factor 4/5 - 9/5*w + 2/5*w**2.
(w - 4)*(2*w - 1)/5
Let y(q) be the second derivative of -3*q - 4 - 24*q**2 - 1/40*q**5 - 7/6*q**4 - 25/3*q**3. Let y(t) = 0. What is t?
-24, -2
Let y(s) = 2*s**2 + 48*s + 51. Let b(w) = w**3 - 2*w**2 - 5*w + 1. Let a be b(3). Let n(u) = 6*u**2 + 144*u + 152. Let h(o) = a*n(o) + 14*y(o). Factor h(k).
-2*(k + 1)*(k + 23)
Let b(n) be the third derivative of -n**5/60 + 269*n**4/24 + 45*n**3 + 3*n**2 + 16*n. Factor b(q).
-(q - 270)*(q + 1)
Let u(d) = d**3 - 3*d**2 - 4*d + 13. Let f be u(16). Suppose 4043 + f = 10*n. Determine v so that n*v**3 - v**5 - 731*v**3 + 0 + 0 = 0.
-1, 0, 1
Let h be (-1 - (-21)/(-7))*(0 + -1). Factor -2*b**4 + 2*b**5 + 118*b**3 - 84*b**3 - 34*b**2 + 12*b - 12*b**h.
2*b*(b - 3)*(b - 2)*(b - 1)**2
Let -342/5*w + 6/5*w**2 + 0 = 0. What is w?
0, 57
Factor -4845/4*g - 9/2*g**2 - 807/4.
-3*(g + 269)*(6*g + 1)/4
Let r(k) = k + 21. Let u be r(-7). Suppose -u - 18 = -8*y. Determine q so that q**2 + q - y*q**3 + 3*q - 1 + 4*q - 4*q = 0.
-1, 1/4, 1
Suppose r - 4*a = -2*r + 308, a + 5 = 0. Suppose 5*j - r - 14 = 0. Factor j*h + 0 - 6 + 9*h**2 - 6*h - 3*h**2.
2*(h + 3)*(3*h - 1)
Let j = 180286 - 180281. Factor 33/4*o**2 + 1 - 5*o**3 - j*o + o**4.
(o - 2)**2*(2*o - 1)**2/4
Let s(y) be the third derivative of -1/20*y**5 - 3*y**2 - y - 17*y**3 + 0 + 19/8*y**4. Find k, given that s(k) = 0.
2, 17
Let z(u) = u**2 + 4*u + 5. Let x(s) = 2 + 77*s - 3 - 78*s. Suppose -4*h = 4*g + 3 - 23, 17 = -3*g + 5*h. Let n(k) = g*x(k) - z(k). Solve n(i) = 0 for i.
-3, -2
Let v(f) = -f**3 - 21*f**2 - 56*f - 6. Let c be v(-3). What is p in 4/5*p**4 - 2/5*p**5 + c*p**3 + 2/5*p - 4/5*p**2 + 0 = 0?
-1, 0, 1
Let b(t) = -8*t**2 + 45*t - 43. Let i(u) = 52*u**2 - 292*u + 280. Suppose 10*v = -12*v + 704. Let p(d) = v*b(d) + 5*i(d). Let p(z) = 0. Calculate z.
2, 3
Solve -94974*d - 2525 + 96986*d + 514 - d**2 = 0.
1, 2011
Let d(c) be the first derivative of c**3/9 - 51*c**2/2 - 628*c/3 - 4495. Solve d(w) = 0 for w.
-4, 157
Let l(q) be the third derivative of 3/340*q**6 + 0*q**4 + 1/2856*q**8 + 0*q - 142 - 2/595*q**7 + 0*q**3 + 0*q**5 - q**2. Let l(a) = 0. What is a?
0, 3
Determine u, given that 134 - 939/7*u + 1/7*u**2 = 0.
1, 938
Let y(w) = 0*w**4 - 2 + w + 2 + 0*w - w**2 + w**4. Let h(g) = -8*g**4 - 6*g**3 + 24*g**2 + 48*g. Let l(p) = -h(p) - 6*y(p). Factor l(j).
2*j*(j - 3)*(j + 3)**2
Let t(c) = c**2 + 4*c + 11. Let r be t(-11). Let y = 122 - r. Factor 256 + 4*m**2 + y*m + 6*m + 24*m.
4*(m + 8)**2
Let i = -395292/7 - -56490. Solve 12/7 - i*k + 216/7*k**3 + 360/7*k**2 = 0 for k.
-2, 1/6
Let s(v) be the second derivative of 1/24*v**5 + 0*v**3 - 2*v + 0 - 5/48*v**4 - 13/2*v**2. Let k(y) be the first derivative of s(y). Let k(i) = 0. What is i?
0, 1
Let g(j) be the third derivative of -j**5/100 + 47*j**4/40 + 159*j**3/5 - 24*j**2 - 12. Determine w, given that g(w) = 0.
-6, 53
Solve 102*h**2 + 2/5*h**4 - 512/5 + 64/5*h - 64/5*h**3 = 0.
-1, 1, 16
Let c(k) = 23*k**3 - 95*k**2 - 7*k + 42. Let h(f) = 10*f**3 - 47*f**2 - 3*f + 18. Let g(a) = -3*c(a) + 7*h(a). Factor g(i).
i**2*(i - 44)
Let k be 3*((24/28 - (-1737)/(-189)) + 9). Suppose 25 = -3*q + 28. Factor 1/6*t**k - 5/6*t - q.
(t - 6)*(t + 1)/6
Suppose 3*d + 6*h = h + 56, 2*h = 2*d - 48. Suppose -43 - 67 = -d*b. Suppose 2/7 - 2/7*g**2 + 0*g**4 - 3/7*g - 1/7*g**b + 4/7*g**3 = 0. What is g?
-2, -1, 1
Let o(x) be the third derivative of x**8/1344 - x**7/105 - x**6/80 + x**5/6 + 61*x**4/96 + x**3 - 1690*x**2 - 2. Factor o(g).
(g - 8)*(g - 3)*(g + 1)**3/4
Let z be (378/(-8))/(24/448). Let l be z/(-686)*(-14)/(-6). Let 0 + 2*c**l + c**5 + 0*c + 8/5*c**2 - 23/5*c**4 = 0. What is c?
-2/5, 0, 1, 4
Let q(a) = 16 - 10 + 23 + a. Let k be q(-26). Factor -21*g**2 - 5*g**4 + 362*g**k - 332*g**3 - 3*g**2 - g**2.
-5*g**2*(g - 5)*(g - 1)
Let v(x) be the second derivative of x**8/112 - 3*x**7/70 + 3*x**6/40 - x**5/20 - 107*x**2/2 + 94*x. Let o(k) be the first derivative of v(k). Factor o(s).
3*s**2*(s - 1)**3
Let h = 12 - 8. Factor -g**4 - 3*g**2 + 4*g**4 - g**4 + 12*g**3 - 5*g**h - 18*g.
-3*g*(g - 3)*(g - 2)*(g + 1)
Let i(h) be the second derivative of -11*h**7/42 - 79*h**6/10 - 659*h**5/10 - 775*h**4/3 - 548*h**3 - 640*h**2 + 804*h. Let i(w) = 0. What is w?
-160/11, -2, -1
Let j(k) be the first derivative of -6*k**5/5 - 95*k**4 - 166*k**3 - 62*k**2 + 1989. Solve j(l) = 0 for l.
-62, -1, -1/3, 0
Let b(k) = -16*k**2 + 3173*k + 249640. Let i(t) = 7*t**2 - 1586*t - 124820. Let o(v) = 6*b(v) + 13*i(v). Solve o(z) = 0.
-158
Suppose 0 = -15*i + 10*i - 5. Let z be i + 8 + 152/(-24). Find g such that 2*g + 2/3*g**3 + 0 + 10/3*g**2 - z*g**4 = 0.
-1, 0, 3
Let m(x) be the first derivative of -1/9*x**3 - x**2 + 16/3*x - 152. Suppose m(f) = 0. Calculate f.
-8, 2
Let t(b) be the first derivative of -b**3/5 + 78*b**2/5 - 441*b/5 + 1027. Factor t(q).
-3*(q - 49)*(q - 3)/5
Determine r so that 41154/11 - 61370/11*r + 122/11*r**4 + 22724/11*r**2 - 2/11*r**5 - 2628/11*r**3 = 0.
1, 3, 19
Factor 12*u**3 - 4*u**4 + 3867*u + u**4 - 3867*u - 12*u**2.
-3*u**2*(u - 2)**2
Let w(u) = 32*u**3 - 2342*u**2 + 45938*u - 6086. Let k(b) = 33*b**3 - 2341*b**2 + 45936*b - 6087. Let v(p) = -2*k(p) + 3*w(p). Factor v(t).
2*(t - 39)**2*(15*t - 2)
What is t in 12*t - 15*t**5 + 38*t**4 - 1285*t**3 + 1289*t**3 - t**5 - 49*t**2 + 11*t**2 = 0?
-1, 0, 3/8, 1, 2
Let p be (-132)/154*(58/(-4) - (-12)/24). Let r(i) be the first derivative of 0*i + 1/10*i**4 - 2/5*i**3 + 0*i**2 - p. Factor r(c).
2*c**2*(c - 3)/5
Let o(c) be the first derivative of -c**3 - 10503*c**2 - 36771003*c - 5438. Factor o(g).
-3*(g + 3501)**2
Let h = -10/6701 - -241286/33505. Factor 15*z + h + 42/5*z**2 + 3/5*z**3.
3*(z + 1)**2*(z + 12)/5
Let l be (-40)/(-50) + (-2)/(-10). Let i be (-19 - l)*((-66)/15 + 4). Factor 12*b**3 + 10*b**2 - 22*b**2 + i*b**3 - 4*b**5 - 4*b**4.
-4*b**2*(b - 1)**2*(b + 3)
Let s(p) be the second derivative of p**5/4 - 1185*p**4/4 + 2365*p**3/2 - 3545*p**2/2 - 4625*p. Let s(k) = 0. Calculate k.
1, 709
Let d be 224/32*(-6)/(-8)*(-144)/(-252). Suppose 1/9*o + 19/9*o**4 + 2/3 + 5/9*o**d - 2/3*o**5 - 25/9*o**2 = 0. What is o?
-1, -1/2, 2/3, 1, 3
Let f = -1391 + 1391. Let b(w) be the second derivative of 12*w + f*w**2 + 1/6*w**4 + 1/6*w**3 + 1/20*w**5 + 0. Suppose b(o) = 0. What is o?
-1, 0
Let d(n) = 6*n - 21. Let g be d(4). Let 6*o**g - 23 + 15*o**2 + 23 - 3*o**3 + 0*o**2 = 0. Calculate o.
-5, 0
Let o = 3498067/28 - 874508/7. Let a = -108 + 221/2. Factor -o*q**4 - a*q + 0*q**3 + 0 + 15/4*q**2.
-5*q*(q - 1)**2*(q + 2)/4
Let g(i) be the third derivative of -5/12*i**5 + 5/84*i**7 + 0 + 300*i**2 - 1/672*i**8 + 25/12*i**3 - 1/48*i**4 + 0*i + 1/120*i**6. Find n, given that g(n) = 0.
-1, 1, 25
Let v(a) be the second derivative of a**6/15 - 13*a**5/10 - 23*a**4/3 - 32*a**3/3 - 1850*a. Factor v(o).
2*o*(o - 16)*(o + 1)*(o + 2)
Let d(l) = -61*l**2 + 4868*l + 4789. Let p(y) = 26*y**2 - 2434*y - 2400. Let n(m) = -6*d(m) - 14*p(m). Let n(c) = 0. What is c?
-2433, -1
Find h such that 56716435329 + 3440850*h**3 - 775716750*h**2 + 65255016825*h + 5*h**5 + 9317745876 + 25*h**4 - 6800*h**4 = 0.
-1, 339
Suppose q = p + 17, -3*p = -3*q - 2*q + 91. Suppose 9*v + v = q. What is y in -11*y**3 + 4*y**3 - 2*y - v*y**5 + 11*y**3 = 0?
-1, 0, 1
Let w be (-7 - -1099)*1/3. Let d be (-32)/(-10)*(-117)/w*-5. Factor -285/7*s**3 - 75/7*s**4 - 192/7*s**2 + 0 - d*s.
-3*s*(s + 3)*(5*s + 2)**2/7
Let a(c) be the first derivative of c**4/6 + 14*c**3/9 - 41*c**2/3 + 22*c + 3522. Determine n so that a(n) = 0.
-11, 1, 3
Find h such that 1668*h - 173889/2*h**2 - 8 = 0.
4/417
Let r(b) = -224*b**2 - 225*b - 5. Let y(d) = -d**2 - 3*d - 4. Let u(p) = -r(p) + 2*y(p). Find m such that u(m) = 0.
-1, 1/74
Suppose 3*z + 21 = 3*u, 3*z + 9 = -5*u + 4*u. Suppose 12 - 33 - j**u + 4*j**4 - 2*j**4 + 2