)/(2/6). Find y such that -g*y**3 - 8/17*y + 16/17*y**2 + 0 = 0.
0, 2/3, 2
Let p(d) be the second derivative of 3*d**5/8 + 37*d**4/8 + 14*d**3 - 36*d**2 + 2459*d. Find t such that p(t) = 0.
-4, 3/5
Suppose -35*c + 30*c + 55 = 0. Find v, given that 8*v**3 + 5*v**4 + 26*v**5 - 14*v**5 - c*v**5 + 4*v**4 = 0.
-8, -1, 0
Let t(p) = p**2 - 17*p - 8. Let s(n) = -n - 1. Let h(i) = 6*s(i) - t(i). Let f be h(11). Suppose -j**2 + 0*j**2 - 6*j**f + 2*j**2 + 5 = 0. Calculate j.
-1, 1
Let u(k) be the first derivative of -32/17*k**2 - 6 + 512/17*k + 2/51*k**3. Factor u(l).
2*(l - 16)**2/17
Suppose 7*s = -9*s + 80. Let -49*c**2 + 19*c + 56*c**3 - 59*c - 16*c**s + 12 + c**2 + 36*c**4 = 0. Calculate c.
-1, 1/4, 1, 3
Let x(u) = -u**2 + 4*u + 20. Let s be x(-10). Let i be ((-18)/s)/((-2)/(-24)). Suppose 9/5*d**3 + 6/5*d**2 - 6/5 - i*d = 0. What is d?
-1, -2/3, 1
Let b = 4864/33 + -250/11. Let a = b + -721/6. What is f in a*f**3 + 3/4*f**4 + 9*f + 39/4*f**2 + 3 = 0?
-2, -1
Let s be (-20 - -25) + -2 + 2. Find o, given that -10*o**3 - 4*o**2 - 8*o**s + 16*o**2 - 8*o**2 - 6*o**2 - 16*o**4 = 0.
-1, -1/2, 0
Let d(g) be the third derivative of g**6/120 - g**5/15 - g**4/6 + 8*g**3/3 - g**2 + 217. Find r such that d(r) = 0.
-2, 2, 4
Factor -4*n**2 + 8*n - 24*n + 4*n - 6*n - 14*n.
-4*n*(n + 8)
Let r = -2/35677 + 35691/249739. Factor r*i**2 + 2*i + 7.
(i + 7)**2/7
Let b be 6 + (4 - 13) + 4628. Factor -20*a**2 - 16*a**3 - b*a + 4633*a + 7*a**4 + 5*a**4.
4*a*(a - 2)*(a + 1)*(3*a - 1)
Let r(b) = -10*b**2 - 132*b - 18. Let y be r(-13). Let i be (6/y)/(72/320*15). Determine t, given that i*t**5 + 16/9*t - 40/9*t**2 + 4*t**3 - 14/9*t**4 + 0 = 0.
0, 1, 2
Let g be 1*4/(-1)*-3. Suppose 41 = 5*w + 4*l + 9, 0 = 4*w - 3*l - 7. Determine t so that w*t**3 - 8*t**2 + 65 - 65 - g*t = 0.
-1, 0, 3
Solve 186 + 1/2*b**2 + 127/2*b = 0.
-124, -3
Let h(r) = -2*r**2 - 34*r - 9. Let u(w) = -w**2 - 16*w - 4. Suppose 0 = -0*z - z - 9. Let v(n) = z*u(n) + 4*h(n). Factor v(x).
x*(x + 8)
Let k = -169235/9066 - -1/3022. Let q = 19 + k. Factor -1/6*w + 1/3*w**2 + 1/6*w**3 - q.
(w - 1)*(w + 1)*(w + 2)/6
Let m(i) be the third derivative of -i**8/26880 + i**7/672 - 7*i**6/320 + 19*i**5/60 - i**4/12 + 80*i**2. Let f(d) be the third derivative of m(d). Factor f(w).
-3*(w - 7)*(w - 3)/4
Factor -213/2*z + 0 - 219/4*z**2 - 3/4*z**3.
-3*z*(z + 2)*(z + 71)/4
Let i(y) be the first derivative of 3*y**5/40 + 63*y**4/32 + 39*y**3/8 + 57*y**2/16 + 1855. Factor i(h).
3*h*(h + 1)**2*(h + 19)/8
Let y(h) = -5*h**2 + 8*h + 11. Let s(v) = 6*v**2 - 8*v - 11. Let d be 1/(-2)*1*(6 - 10). Let g(b) = d*s(b) + 3*y(b). Factor g(n).
-(n + 1)*(3*n - 11)
Solve -25806*y - 128018/5 - 66037/10*y**2 - 1/10*y**4 - 51*y**3 = 0 for y.
-253, -2
Let b be (-1)/1*6*(-40)/24. Let 14*x**2 + 10*x**2 - 40*x**2 - 5*x**4 + b*x**2 + 11*x**2 = 0. Calculate x.
-1, 0, 1
Let k(z) be the third derivative of z**5/60 - 8209*z**2. Let h(c) = 10*c**2 + 10*c. Let y = 1 - -4. Let w(u) = y*k(u) - h(u). Factor w(l).
-5*l*(l + 2)
Let u(l) = -7*l**2 - 3*l - 21. Let f(b) = 3*b**2 + b + 11. Let n(r) = -9*f(r) - 4*u(r). Let w be n(-6). Factor 19*q**3 - 10*q**3 - 5*q**4 - 14*q**w.
-5*q**3*(q + 1)
Let t(p) be the third derivative of 77/120*p**4 - 49/15*p**3 + 0 + 1/600*p**6 - 89*p**2 + 0*p - 4/75*p**5. Suppose t(c) = 0. What is c?
2, 7
Let t = -41721540 - -176732444491/4236. Let u = 2/1059 + t. Let 5/4*c**2 - 1/2*c + u*c**4 - c**3 + 0 = 0. What is c?
0, 1, 2
Let u(z) be the third derivative of z**6/96 - 143*z**5/48 + 1415*z**4/96 - 235*z**3/8 - 3470*z**2. Factor u(d).
5*(d - 141)*(d - 1)**2/4
Let f = -63 - -81. Let j(y) = y**3 - 17*y**2 - 18*y + 8. Let s be j(f). Solve 51*t**2 - 97*t**2 + 72*t - 332 + 42*t**2 + s = 0.
9
Let t(z) be the third derivative of -z**5/20 - 13*z**4/2 - 138*z**3 + 184*z**2 - z + 11. Factor t(o).
-3*(o + 6)*(o + 46)
Let v(i) be the second derivative of i**5/120 + 133*i**4/72 + 173*i**3/12 + 129*i**2/4 + 5582*i. Determine y so that v(y) = 0.
-129, -3, -1
Let p be 118800/166050 + (-2)/41*(-2 + 3). Factor -1/3*q**2 + 1 + p*q.
-(q - 3)*(q + 1)/3
Let m(q) be the third derivative of q**6/360 + 107*q**5/180 + 2915*q**4/72 + 2809*q**3/18 - 7157*q**2. Suppose m(v) = 0. What is v?
-53, -1
Let s(i) be the first derivative of -4*i**3/3 - 2088*i**2 - 1089936*i + 93. Factor s(w).
-4*(w + 522)**2
Let n(i) be the first derivative of 135*i**3 + 315*i**2 + 245*i - 6042. Determine q so that n(q) = 0.
-7/9
Let p(q) be the first derivative of -5*q**6/6 + 308*q**5/5 + 111*q**4 - 182*q**3/3 - 439*q**2/2 - 126*q + 1783. Determine u so that p(u) = 0.
-1, -2/5, 1, 63
Let m = 3759 + -112769/30. Let g(t) be the first derivative of -1/18*t**3 + 0*t + 0*t**2 - 1/24*t**4 + 1/36*t**6 + 13 + m*t**5. Factor g(j).
j**2*(j - 1)*(j + 1)**2/6
Let r(w) be the third derivative of -w**5/360 + 25*w**4/144 + 7*w**3/3 + 1158*w**2 + 2*w. Factor r(g).
-(g - 28)*(g + 3)/6
Let -1224/5*f**2 + 4136/5*f + 58/5*f**3 + 2/5*f**4 - 3872/5 = 0. What is f?
-44, 2, 11
Let u(v) be the third derivative of -1/448*v**8 + 6*v + 0*v**3 - 27/32*v**6 + 243/80*v**5 + 0 + 0*v**4 - 10*v**2 + 3/40*v**7. Factor u(g).
-3*g**2*(g - 9)**2*(g - 3)/4
Let s(m) be the first derivative of m**7/2940 + m**6/140 - m**5/20 + 11*m**4/84 - 12*m**3 + 46. Let w(k) be the third derivative of s(k). Factor w(i).
2*(i - 1)**2*(i + 11)/7
Let h(l) be the second derivative of -l**6/15 + 18*l**5/5 - 17*l**4/3 - 12*l**3 + 35*l**2 - l - 4734. Factor h(w).
-2*(w - 35)*(w - 1)**2*(w + 1)
Suppose 58 + 74 = 11*p. Factor -26*i**4 - 135 - 108*i + 108*i**3 + 17*i**4 + 969*i**2 + p*i**4 - 837.
3*(i - 1)*(i + 1)*(i + 18)**2
Factor -47*a**3 - 8*a**4 - 17*a**5 + 20*a**4 + 15*a**3 + 19*a**5.
2*a**3*(a - 2)*(a + 8)
Let b(l) be the first derivative of -5*l**4/4 - 25*l**3/3 - 15*l**2 - 1047. Factor b(k).
-5*k*(k + 2)*(k + 3)
Let g(s) be the second derivative of 3*s**5/35 + 20*s**4/21 + 32*s**3/21 - 128*s**2/7 + 1352*s. Factor g(k).
4*(k + 4)**2*(3*k - 4)/7
Let l(q) be the second derivative of q**6/6 + 9*q**5/4 + 5*q**4/2 - 40*q**3/3 + 134*q + 1. Factor l(s).
5*s*(s - 1)*(s + 2)*(s + 8)
Let p(m) be the first derivative of -m**3/3 - 15*m**2/2 + 36*m + 214. Let b be p(2). Solve 15/2*s**b + 0*s - 10/3 + 5/3*s**3 - 5/2*s**4 = 0 for s.
-1, 2/3, 2
Let m(f) be the second derivative of f**7/273 - 22*f**6/195 - 27*f**5/26 - 10*f**4/39 + 524*f**3/39 + 432*f**2/13 - 11276*f. Determine h, given that m(h) = 0.
-4, -2, -1, 2, 27
Let b(k) be the first derivative of -k**5/80 - 5*k**4/32 + 3*k**3/4 - 19*k**2/2 - 3*k + 248. Let c(s) be the second derivative of b(s). Factor c(n).
-3*(n - 1)*(n + 6)/4
Let m(i) be the second derivative of 1/48*i**4 + 0*i**3 + 18*i + 0 - 1/80*i**5 + 0*i**2. Find u such that m(u) = 0.
0, 1
Let o(j) be the third derivative of 3/20*j**4 + 2*j**2 + 0 + 0*j**3 - 1/300*j**6 - 3*j - 3/50*j**5 + 1/525*j**7. Let o(h) = 0. Calculate h.
-3, 0, 1, 3
Let h be (-25)/2*16/20. Let m be (-4)/(-10) - (2 - (-46)/h). Let -12*t**m + 2*t**4 - 4*t**2 + t**5 + 11*t**5 + 2*t**4 = 0. Calculate t.
-1, -1/3, 0, 1
Let c(t) be the second derivative of -t**5/20 + 2*t**4/3 - 7*t**3/3 - 3*t**2/2 + 383*t. Let z be c(3). Factor 3/2*y**2 + z - 7*y**3 + y.
-y*(2*y - 1)*(7*y + 2)/2
Let s(q) be the third derivative of -q**6/120 + 11*q**5/30 + 23*q**4/24 - 494*q**2. Factor s(c).
-c*(c - 23)*(c + 1)
Let u(c) be the second derivative of c**5/20 - 17*c**4/12 - 5*c**3/2 - 25*c**2 + 370*c. Let w be u(18). Factor 34/7*b**3 - 18/7*b - 6*b**2 + 0 - 6/7*b**w.
-2*b*(b - 3)**2*(3*b + 1)/7
Let k(p) be the first derivative of -109*p**3/6 + 50*p**2/3 + 2*p + 6578. Factor k(f).
-(3*f - 2)*(109*f + 6)/6
Let q = -7275 - -7278. Let l(c) = 8*c - 6. Let d be l(4). Solve d*o**2 + 4 + 8*o**q + 110*o - 88*o + 0*o**2 = 0 for o.
-2, -1, -1/4
Let d be -6 + 17 - (-86)/2. Suppose 159*p = 186*p - d. Factor 4*w**4 + 0 - 9*w**3 + 27/2*w - 1/2*w**5 + 0*w**p.
-w*(w - 3)**3*(w + 1)/2
Let j(f) be the second derivative of f**4/48 + 5*f**3/2 + 675*f**2/8 + 73*f - 3. Factor j(u).
(u + 15)*(u + 45)/4
Let t(p) = 66*p**3 - 470*p**2 + 1296*p - 1238. Let d(g) = g**4 + 133*g**3 - 941*g**2 + 2592*g - 2474. Let q(u) = -2*d(u) + 5*t(u). Factor q(h).
-2*(h - 23)*(h - 3)**3
Solve -2*m**2 + 1 - 120*m - 72*m - 20*m - 1 = 0.
-106, 0
Let r(h) be the second derivative of 5*h**7/42 + 5*h**6/2 + 17*h**5/2 - 15*h**4 - 380*h**3/3 - 240*h**2