 126/15 - (-8)/(-20). Suppose -o = 14*y - 18*y. Determine n, given that -2*n**y + 8*n**3 - 2*n - 4*n**2 + 2*n**3 - 2*n = 0.
-2/5, 0, 1
Let q be 3 + -8 - (-720)/10. Suppose 5*k**3 + q*k**2 + 840*k + 68*k**2 + 39*k**2 - 39*k**2 - 980 = 0. Calculate k.
-14, 1
Let s(y) be the third derivative of y**7/10080 + y**6/720 - y**5/96 - 7*y**4 + 3*y**2 + 1. Let l(r) be the second derivative of s(r). Solve l(f) = 0 for f.
-5, 1
Suppose -10*a = 5*s - 11*a - 2760, -1127 = -2*s + 5*a. Let k = -551 + s. Determine y so that k + 0*y + 1/2*y**4 - 2*y**2 - 3/2*y**3 = 0.
-1, 0, 4
Let c = 1/128264 + 2308745/897848. Factor -2/7*a**3 + 22/7 + 6*a + c*a**2.
-2*(a - 11)*(a + 1)**2/7
Let h(i) be the third derivative of 5*i**7/168 - 53*i**6/32 + 729*i**5/40 - 781*i**4/24 + 25*i**3 + 105*i**2 + 2. What is o in h(o) = 0?
2/5, 6, 25
Let t(h) = -6*h**2 - 54*h + 234. Let x(z) = z**2 + 0*z**2 + 179 - 178. Let b(k) = t(k) + 9*x(k). Factor b(l).
3*(l - 9)**2
Let h(s) be the third derivative of 0*s + 0*s**3 - 41 + s**2 - 1/150*s**6 - 1/350*s**7 + 1/60*s**4 + 1/300*s**5. Factor h(i).
-i*(i + 1)**2*(3*i - 2)/5
Let g be (2990/(-975) - (-12)/30)*(-1)/2. Suppose -g*z**3 + 14/3*z**2 + 0 - 2*z = 0. What is z?
0, 1/2, 3
Let w(j) be the second derivative of -2904*j**2 - 129/10*j**5 - 1/10*j**6 - 1761/4*j**4 - j + 8 + 1892*j**3. Find a, given that w(a) = 0.
-44, 1
Let k be (20/(-64))/(1944/(-192) - -10). Suppose 2 = -v - 2*a, -2*a - 8 = -5*v - 3*a. Factor -35/2*h - k*h**v - 15.
-5*(h + 1)*(h + 6)/2
Let l(k) = 24*k**3 + 87*k**2 + 385*k + 390. Let v(s) = -7*s**3 - 29*s**2 - 128*s - 132. Let g(a) = 4*l(a) + 14*v(a). Factor g(z).
-2*(z + 2)*(z + 3)*(z + 24)
Let z be 10/8*(-27)/(-756). Let s(t) be the third derivative of 0 + 0*t - 3/2*t**5 + 0*t**3 - 10/21*t**7 + 0*t**4 + 13/8*t**6 - 24*t**2 + z*t**8. Factor s(u).
5*u**2*(u - 3)**2*(3*u - 2)
Let h(o) = o**2 + o - 6. Let g = -84 - -78. Let s be h(g). Solve 5*k - 7*k + 26*k**3 - s*k**2 + 2*k**3 - 2*k - 8*k**4 + 8 = 0 for k.
-1/2, 1, 2
Let y(c) be the first derivative of -c**6/15 - 19*c**5/2 - 349*c**4/40 + 593*c**3/30 + 353*c**2/20 - 59*c/5 - 2881. Find z, given that y(z) = 0.
-118, -1, 1/4, 1
Let t(o) be the third derivative of -o**8/4480 - o**7/1120 + o**6/192 - o**4/24 - 2*o**3/3 + 59*o**2. Let j(g) be the second derivative of t(g). Factor j(i).
-3*i*(i - 1)*(2*i + 5)/4
Let w be -11 + (-33)/(-3)*897/759. Let -w*m + 3 - 1/4*m**2 + 1/4*m**3 = 0. What is m?
-3, 2
Suppose 0 = 3*h + 10*c - 116, 251*h = 254*h - 3*c + 27. Factor -3 - 9/2*t**3 + 3/2*t**4 + 3/2*t**h + 9/2*t.
3*(t - 2)*(t - 1)**2*(t + 1)/2
Let c(g) be the first derivative of 7*g**6/120 + 2*g**5/15 - 5*g**4/24 - g**3 + 3*g**2/2 + 35*g - 137. Let j(q) be the second derivative of c(q). Factor j(k).
(k + 1)**2*(7*k - 6)
Let i(l) be the second derivative of 2*l**7/21 - 4*l**6/15 - 312*l**5/5 + 1296*l**4 - 11808*l**3 + 57024*l**2 + l - 33. Factor i(t).
4*(t - 6)**4*(t + 22)
Let z = -657 + 230. Let x = 430 + z. Factor 7/2*m**x + 4*m**2 + 1/4*m**5 + 9/4*m + 1/2 + 3/2*m**4.
(m + 1)**4*(m + 2)/4
Let t = 608 - 575. What is l in 5369*l**2 + t*l + 2*l**5 - 26*l**3 - 22*l**4 - 9*l - 5347*l**2 = 0?
-1, 0, 1, 12
Let t(q) be the third derivative of 1/70*q**7 + 0*q**5 - 99 + 0*q - 3/112*q**8 + 0*q**4 + 2*q**2 + 0*q**3 + 1/20*q**6. Suppose t(i) = 0. What is i?
-2/3, 0, 1
Suppose 4459*c + 411 = 4596*c. Let i be 4/(-6) - 14/(-12). Solve -q**2 + 1 - i*q**c + 1/2*q = 0 for q.
-2, -1, 1
Let s be 36756/(-60) - -8 - 6. Let v = s + 613. Let -v*b - 2/5*b**2 - 2 = 0. What is b?
-5, -1
Let i(f) be the first derivative of f**5/70 - f**4/24 + f**3/42 - 163*f**2/2 + 114. Let n(q) be the second derivative of i(q). Factor n(x).
(x - 1)*(6*x - 1)/7
Let m(v) = -v**2 - v + 155. Suppose -3*p + 20 = 5*s, p - 5*p = 4*s - 16. Let z be m(p). Factor z - c - 155 - 5*c**2 + 16*c.
-5*c*(c - 3)
Let f be 3895/9 + 4/18. Let z = f - 50. Let -185*h**2 + 36*h - 194*h**2 + z*h**2 = 0. What is h?
-9, 0
Let g(o) = 8*o**3 + 172*o**2 - 646*o + 20. Let i(q) = -3*q**3 - 86*q**2 + 324*q - 8. Let h(f) = -2*g(f) - 5*i(f). Determine r, given that h(r) = 0.
0, 4, 82
Determine s, given that 2756/7*s**2 + 968/7*s**3 + 1632/7 - 5336/7*s - 20/7*s**4 = 0.
-4, 2/5, 1, 51
Let y(x) = 506*x + 508. Let m be y(-1). Let k(b) be the second derivative of -4/39*b**4 + 0*b**m + 0 - 1/26*b**5 + 9*b - 4/39*b**3 - 1/195*b**6. Factor k(n).
-2*n*(n + 1)*(n + 2)**2/13
Let 183/5 + 3/5*a**2 - 186/5*a = 0. What is a?
1, 61
Let w(c) = -3*c**2 - c + 9. Let y(i) = 4*i**2 + 2*i - 13. Let f(v) = -7*w(v) - 5*y(v). Let z be f(3). Suppose 3*p**2 + p**z + 0*p**2 - 2*p**2 = 0. What is p?
0
Solve -123/4 - 63/2*s - 3/4*s**2 = 0 for s.
-41, -1
Let v(o) be the first derivative of -7 - 3*o**2 - 6/5*o**3 - 14/5*o - 1/10*o**4. Factor v(n).
-2*(n + 1)**2*(n + 7)/5
Let d be (-1 + 3)*5 - 5/((1280/112)/16). Let p(m) = m**2 + m + 9. Let v be p(0). Solve v*c**2 - 3/2*c**d + 6 - 27/2*c = 0.
1, 4
Let g = 4056 - 4052. Let v(q) be the third derivative of 0*q + 0 - 9*q**2 + 8/3*q**3 - 1/3*q**5 - 1/10*q**6 + 2/3*q**g. Factor v(p).
-4*(p - 1)*(p + 2)*(3*p + 2)
Suppose 576*c = -413*c + 2967. Let 1/2*q**4 + 9*q**c + 17/2*q**2 + 0 + 0*q = 0. Calculate q.
-17, -1, 0
Suppose 4*v = -i + 272, 0*v = -3*v + i + 211. Find n such that -81*n**4 - 232022 - v*n**4 - 125*n**5 + 110*n**2 + 232062 + 305*n**3 - 180*n = 0.
-2, -1, 2/5, 1
Suppose -33*q + 39*q = -12. Let k be (-5 - (-350)/56)*q/(-5). Factor -1/2*m**4 - k*m**3 + 1/2*m**5 + 1/2*m**2 + 0*m + 0.
m**2*(m - 1)**2*(m + 1)/2
Let m(j) be the first derivative of -4*j**3/9 - 38*j**2 + 232*j/3 + 1034. Factor m(g).
-4*(g - 1)*(g + 58)/3
Let k = 6139/60 + -1223/12. Solve 96/5*n**3 + k*n**5 + 128/5*n**2 + 0 + 24/5*n**4 + 0*n = 0.
-4, 0
Suppose -60*s + 86 + 84 - 50 = 0. Let j(m) be the second derivative of 0 - 1/4*m**4 - 96*m**s + 8*m**3 + 4*m. Factor j(f).
-3*(f - 8)**2
Let x(i) = 15*i**2 + 1275*i + 81925. Let p(z) = -17*z**2 - 1274*z - 81926. Let f(s) = 5*p(s) + 6*x(s). Factor f(d).
5*(d + 128)**2
Let q(y) be the first derivative of -2*y**5/5 - 133*y**4/2 - 88*y**3 + 211. What is s in q(s) = 0?
-132, -1, 0
Let g(r) = -r**2 - 11*r - 11. Let a be g(-9). Suppose -30 = l - a*l. Solve 10 + l*m**3 - 15*m**2 + 14*m**2 + 25*m + 21*m**2 = 0 for m.
-2, -1
Let j(i) be the first derivative of -i**4/2 + 8*i**3/3 + 203*i**2 + 1764*i - 562. Factor j(f).
-2*(f - 18)*(f + 7)**2
Let k(r) be the first derivative of -r**6/21 + 4*r**5/35 + 7*r**4/2 - 28*r**3/3 + 10344. What is c in k(c) = 0?
-7, 0, 2, 7
Let j(i) be the third derivative of -41*i**2 - 1/3*i**3 - 2 - 3/20*i**5 - 7/24*i**4 - 1/24*i**6 - 1/210*i**7 + 0*i. Factor j(k).
-(k + 1)**3*(k + 2)
Let -9483*s**2 + 4668*s**2 + 4489*s + 0*s**3 + 4681*s**2 + s**3 = 0. What is s?
0, 67
Suppose v - 2*i = -4, -2*i = -4*v - 3*i + 20. Factor -57 + 12*b + v*b**4 - 5 - 38 - 37 + 36*b**3 - 7 + 92*b**2.
4*(b - 1)*(b + 3)**2*(b + 4)
Let t(u) be the third derivative of u**5/105 - 11*u**4/42 + 8*u**3/3 + u**2 - 1343*u. Find d such that t(d) = 0.
4, 7
Let r be 8/(-36) - 80/45. Let k be (r/3)/(4/(-14 - -2)). Factor h**4 + 7*h**4 - k*h**5 + 4*h**2 - 104*h**3 + 94*h**3.
-2*h**2*(h - 2)*(h - 1)**2
Let k(j) be the third derivative of -j**7/630 + j**6/60 - j**5/20 + 282*j**2. Determine l, given that k(l) = 0.
0, 3
Suppose -30*a + 6 = -27*a. Solve -5*k**2 + k**a + 2*k + 4*k**2 + k**3 - 3*k**3 = 0.
-1, 0, 1
Suppose -253 = -8*q - 237. Determine n, given that 3/5*n**3 + 0 + 0*n**q + 6/5*n**4 + 0*n + 3/5*n**5 = 0.
-1, 0
Suppose -3*m = -2*z - 19, -24 = 3*m - 6*m - 3*z. Let k be (-20)/(-6) + 2/3. Solve 17*h - 15*h - h**4 + 5*h**5 - m*h**3 - 2*h**k + 3*h**2 = 0.
-1, -2/5, 0, 1
Let l = 1484 - 1482. Let w(a) be the first derivative of -1/2*a + 1/2*a**l + 2 - 1/6*a**3. Factor w(z).
-(z - 1)**2/2
Let i(f) be the first derivative of 10/3*f**3 - 49 - 43/4*f**2 + 1/8*f**4 + 11*f. Let i(k) = 0. Calculate k.
-22, 1
Let a = 70404 + -211208/3. Let r be 3/(-1 - (-2)/1). Factor -j**4 + a*j**2 + 0 + 1/3*j**5 + 0*j + 0*j**r.
j**2*(j - 2)**2*(j + 1)/3
Let m = -57809/4 + 14457. Let 2*a**2 - m*a + 1/4*a**3 + 5/2 = 0. What is a?
-10, 1
Let z(j) = j**2 - 2. Let g be z(2). Suppose 3*m - 8 = g*m + 4*k, -5*m + k = -2. Factor m + u + 1/2*u**2.
u*(u + 2)/2
Let z(g) be the second derivative of -g**6/6 + 8*g**5 - 145*g**4/12 - 155*g**3/3 + 743*g. Factor z(u).
-5*u*(u - 31)*(u - 2)*(u + 1)
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