 773 - 5597*t**2 - 387.
5*(t - 116)*(t + 2)
Suppose -5*b - 4*o = -44, -2*b + 2*o = -3*o - 11. Suppose 5*k - 3*d - 4 = 0, 38*k - 10 = 36*k - 3*d. Solve 5*n**3 + 1 - b*n**k + 15*n + 23*n**2 + 4 = 0.
-1
Let u be (4/6)/((-10)/(-15)). Let z(s) be the second derivative of s**4/12 + s**2/2 - 3*s. Let d(c) = c**2 + 11. Let r(t) = u*d(t) - 6*z(t). Factor r(a).
-5*(a - 1)*(a + 1)
Let s be ((-1971)/135 + 15)/(36/225). What is p in 20*p + 0 - 35/2*p**4 - 50*p**2 + s*p**5 + 45*p**3 = 0?
0, 1, 2
Let u(w) = 230*w**3 - 1650*w**2 - 34580*w - 8575. Let t(c) = -102*c**3 + 733*c**2 + 15369*c + 3811. Let k(i) = 25*t(i) + 11*u(i). Factor k(l).
-5*(l - 19)*(l + 10)*(4*l + 1)
Let h = 437 + -436. Let g be (5/(-2))/(h/(-12)*15). What is n in 0 - 1/6*n**g + 0*n = 0?
0
Let w be 2/1 + (420/105 - (-12)/(-2)). Let a(g) be the first derivative of -16 - 1/18*g**3 + 0*g**2 + w*g. Factor a(f).
-f**2/6
Let a(x) be the second derivative of 2*x**7/21 + 38*x**6/75 + 6*x**5/25 - 22*x**4/15 - 22*x**3/15 + 6*x**2/5 + 175*x. Suppose a(f) = 0. Calculate f.
-3, -1, 1/5, 1
Let w = 501638/6375 - 46/2125. Factor -6962/3 - w*c - 2/3*c**2.
-2*(c + 59)**2/3
Let b be (-7 - (-19)/2)/((-115)/(-92)). Let 0 - b*p + 2/13*p**2 = 0. Calculate p.
0, 13
Let -664*u**3 - 2742*u + 341*u**3 + 325*u**3 - 1372 - 1368*u**2 = 0. What is u?
-1, 686
Let h(x) be the first derivative of -2*x**3/21 - 11*x**2/7 - 8*x + 326. Factor h(i).
-2*(i + 4)*(i + 7)/7
Suppose 4*p + 5*c = -4, 5*p - 12 = -5*c + 3*c. Let k(n) be the second derivative of -5/27*n**3 + 2/3*n**2 + 1/54*n**p + 0 - 5*n. Factor k(h).
2*(h - 3)*(h - 2)/9
Factor -54*v + 2/3*v**2 - 164/3.
2*(v - 82)*(v + 1)/3
Let n be 16 - 42 - (2 + -3). Let s be (10/n)/(5 - 104/20). Let 4/5*g + 0 - 1/5*g**s = 0. What is g?
0, 4
Let w(r) be the second derivative of -r**4/32 + 541*r**3/8 - 878043*r**2/16 - 118*r - 2. Solve w(m) = 0.
541
Suppose -4*x = -x - 2*w + 7, 6*x = 3*w - 6. Find f such that -35/3*f + 0 - 5/3*f**x + 40/3*f**2 = 0.
0, 1, 7
What is l in 77 - 173*l - 14*l**3 + 93 + 13*l**3 + 40 - 36*l**2 = 0?
-30, -7, 1
Let u(y) be the first derivative of 3*y**5/10 + 57*y**4/8 + 77*y**3/2 + 303*y**2/4 + 63*y - 1236. Solve u(m) = 0 for m.
-14, -3, -1
Let c be ((-4)/(-10))/((-76)/(-152)). Determine v so that 0 + c*v - 2/15*v**4 - 4/15*v**3 + 2/3*v**2 = 0.
-3, -1, 0, 2
Let v(j) be the third derivative of -j**7/1785 + 11*j**6/510 - 4*j**5/51 + 38*j**2 - 3. Factor v(w).
-2*w**2*(w - 20)*(w - 2)/17
Let s = 498664/3 + -166212. Suppose s*n**3 - 10 - 2/3*n**4 + 32/3*n**2 - 28/3*n = 0. Calculate n.
-1, 1, 15
Let m(l) be the third derivative of -l**7/210 - 3*l**6/8 + 47*l**5/60 + 15*l**4/8 - 23*l**3/3 + 60*l**2 - 2. Find y such that m(y) = 0.
-46, -1, 1
Suppose 4*i - 329 = -g - 8, -4*g + 1230 = -2*i. Let s = -2161/7 + g. Factor 0*x + 0 + 0*x**2 + s*x**4 + 2/7*x**3.
2*x**3*(x + 1)/7
Let g(c) = -c**2 + 5*c + 9. Let k be g(-3). Let m be (4 - (-50)/k)*3. What is j in -6*j**m + 4 + 9*j**2 + 10*j + 5 + 2*j = 0?
-3, -1
Let i(w) = -11*w**3 + 756*w**2 - 1473*w - 25. Let a(v) = 39*v**3 - 2646*v**2 + 5154*v + 90. Let g(b) = 5*a(b) + 18*i(b). Factor g(h).
-3*h*(h - 124)*(h - 2)
Suppose -1665*g**3 + 3324*g**3 + 21*g**2 + 3*g**5 - 1680*g**3 + 54*g - 9*g**4 + 24 = 0. Calculate g.
-1, 2, 4
Let h(r) = 2*r**2 - 16*r + 26. Let d be h(2). Factor -39*n**d - 5*n**3 - 5*n**4 - n + 115*n**2 + n - 46*n**2.
-5*n**2*(n - 2)*(n + 3)
Suppose 5*s + 29 = 2*v, 3*s = 5*v - 7 + 1. Let q be (s/(-5 + 12))/((-6)/12). Suppose 4/5*k**4 + 8/5*k**q + 24/5*k**3 - 12/5 - 4/5*k**5 - 4*k = 0. What is k?
-1, 1, 3
Let k(z) be the third derivative of z**7/70 - 21*z**6/40 + 117*z**5/20 - 175*z**4/8 + 39*z**3 - 2510*z**2. What is w in k(w) = 0?
1, 6, 13
Let j(o) be the second derivative of -o**9/15120 + o**7/1400 - o**6/900 + 2*o**3/3 - 4*o**2 - 88*o. Let m(x) be the second derivative of j(x). Factor m(c).
-c**2*(c - 1)**2*(c + 2)/5
Let u(o) = -161*o - 1278. Let x be u(-8). Let l be ((-1)/11*4)/(x/(-55)). Determine f so that -60/13*f + 18/13 + 50/13*f**l = 0.
3/5
Factor 677 - 1877 - 13*h + 228*h + 7*h**2 - 2*h**2.
5*(h - 5)*(h + 48)
Let x(i) = 28*i**3 - 177*i**2 + 252*i + 45. Let p(o) = 195*o**3 - 1240*o**2 + 1770*o + 315. Let a(t) = -2*p(t) + 15*x(t). Let a(d) = 0. Calculate d.
-1/6, 3
Let t be ((-31372)/(-1104) - 3/4) + (-41)/(-123). Let -t - 34/3*i + 4/3*i**2 = 0. What is i?
-2, 21/2
Suppose 0 = 3*o + 240 - 540. Suppose 4*p + 2*w - o = -90, 0 = -2*w + 10. Factor p + 15/4*q**3 + 0*q - 5/4*q**2 - 15/4*q**4 + 5/4*q**5.
5*q**2*(q - 1)**3/4
Suppose -80 = -3*y + 11*y. Let t be 2/((-42)/y - 4). Let -20*o**3 + t - 5*o**5 - 3*o**2 + 13*o**2 + 3*o**4 + 25*o - 23*o**4 = 0. What is o?
-2, -1, 1
Let t(h) be the third derivative of 287*h**2 + 0*h**3 + 9*h**4 + 1/15*h**5 + 0 + 0*h. Factor t(q).
4*q*(q + 54)
Let r be 2 + 1 + -4 - (-320)/80. Let l(y) be the first derivative of 9/10*y**2 + 0*y - 21 + 1/20*y**4 - 2/5*y**r. Factor l(x).
x*(x - 3)**2/5
Factor -716/13 + 2/13*f**2 + 354/13*f.
2*(f - 2)*(f + 179)/13
What is m in 11153*m**2 + 7499*m**2 + 1328*m**2 + 5 + 635*m - 20480*m**3 - 140*m**2 = 0?
-1/64, 1
Let j(h) = -17*h**3 + 252*h**2 - 801*h - 102. Let d(v) = -17*v**3 + 248*v**2 - 802*v - 101. Let w(x) = 4*d(x) - 3*j(x). Factor w(i).
-(i - 7)**2*(17*i + 2)
Let i(z) be the second derivative of 240945152*z**5/115 - 307328*z**4/23 + 784*z**3/23 - z**2/23 - 4892*z. Factor i(c).
2*(784*c - 1)**3/23
Let g(a) be the first derivative of -20*a**4 - 360*a**3 + 555*a**2/2 - 70*a + 330. What is k in g(k) = 0?
-14, 1/4
Let s(i) = 2*i**4 - 2*i**3 - i**2 - 1. Let l(x) = -x**4 - 44*x**3 + 89*x**2 - 42*x + 2. Let r(n) = -l(n) - 2*s(n). Find h such that r(h) = 0.
0, 1, 14
Let b(g) be the first derivative of 11*g**5/20 - g**4/6 - 9*g - 32. Let a(r) be the first derivative of b(r). Find p, given that a(p) = 0.
0, 2/11
Let v(j) = 26*j**2 - j - 1. Let t(n) = 137*n**2 - 55*n + 18. Let u(p) = -t(p) + 6*v(p). Let u(q) = 0. What is q?
-3, 8/19
Let y(w) = -6*w**2 - w. Let j be y(-1). Let z be (3 - 1)*j/(-2). Factor 6*v**2 + v**4 + 4*v**3 + 9 + 4*v - z - 3.
(v + 1)**4
Suppose 4*y - 2*p = 116, 3*y - 373*p + 370*p = 99. Let t(h) be the second derivative of 0*h**3 - 1/4*h**4 + 1/20*h**5 - y*h + 0*h**2 + 0. Factor t(k).
k**2*(k - 3)
Let l(w) be the third derivative of -w**5/60 + w**4/24 + w**3/3 - 81*w**2 + 1. Let b(i) = -11*i**2 + 126*i - 708. Let g(x) = b(x) - 6*l(x). Factor g(c).
-5*(c - 12)**2
Let u = 4239/10 - 2102/5. Solve -35*h + 69/4*h**2 + 25 + 1/4*h**4 - u*h**3 = 0 for h.
2, 5
Let n(a) be the second derivative of a**4/18 - 406*a**3/9 - 272*a**2 - 42*a - 46. Solve n(w) = 0.
-2, 408
Let s(b) be the second derivative of -b**6/30 + 17*b**5/20 + 15*b**4 - 1216*b**3/3 - 5632*b**2 + 6152*b. Factor s(x).
-(x - 16)**2*(x + 4)*(x + 11)
Let x = -58 + 65. Let r be 135/66 + x + 166/(-22). Let -6 - 3/4*b**3 + 3*b + r*b**2 = 0. Calculate b.
-2, 2
Suppose 5*s - 11 = -f, 2*f + 3*f - 13 = -4*s. Suppose 0 = -s*o + 4. Factor 29*r**2 - 8*r - 3*r**3 + 0*r + r**3 - 37*r**o.
-2*r*(r + 2)**2
Factor 0 + 193/4*q**2 - 1/4*q**3 - 48*q.
-q*(q - 192)*(q - 1)/4
Let z(g) be the first derivative of -17/7*g**2 - 2/3*g**3 + 1/14*g**4 - 18/7*g - 24. Factor z(w).
2*(w - 9)*(w + 1)**2/7
Let z be (-6 + 230/(-15))/(11/(759/(-115))). Let -32/5*r**3 + z + 4/5*r**5 + 64/5*r - 32/5*r**2 + 4/5*r**4 = 0. Calculate r.
-2, -1, 2
Suppose 19*a + 2146 - 2184 = 0. Factor -38/13*y + 22/13*y**a + 18/13 - 2/13*y**3.
-2*(y - 9)*(y - 1)**2/13
Let i(u) = 3*u**2 + u - 4. Let t(z) = -57*z**2 + 72*z - 303. Let c(v) = -18*i(v) - t(v). Factor c(g).
3*(g - 25)*(g - 5)
Suppose 2*z + 2 = 3*q, 25 = 3*z + 2*z. Let n be (-1680)/(-1600) + (-1)/q. Factor 2/5*g**2 + 6/5*g + n.
2*(g + 1)*(g + 2)/5
Let a be (-15 - 0)/(-3) - 0. Let p be ((-174)/(-464))/((-2)/(-16)). Factor p*r**2 + 2 + a*r**2 + 3*r**3 - 35*r + 42*r.
(r + 1)**2*(3*r + 2)
Let w be -5*(-117)/((-77220)/(-88)). Factor 104/3*d + w*d**2 + 1352/3.
2*(d + 26)**2/3
Suppose -4*h = 3*u + 5, -5*u - 2*h - 13 = -0*h. Let i be 6/54*-3*u + 1. Solve 0 + 3/2*q**3 + 9/2*q**4 - 3*q**i + 0*q = 0.
-1, 0, 2/3
Solve 14*c**2 - 5 - 3 - 33*c**3 + 16*c**2 + 8 = 0.
0, 10/11
Let f(k) be the first derivative of 1/8*k**6 + 3*k**2 + 3/20*k**5 - 1/4*k**3 - 15/16*k**4 - 3*k - 237. Suppose f(s) = 0. What is s?
-2, 1
Let g(z) = 22*z**3 - 4043*z**2 - 1370941*z - 154457927. Let y(o) = -5*o**3 + 1011*o**2 + 3