5 + 9/2*r**t + 0 = 0. What is r?
-3/5, 0, 1
Let f be -48 - -54 - 1/(-2)*-8. Factor 5/4*w**f - 1/2*w - 3/4*w**3 + 0 + 1/4*w**5 - 1/4*w**4.
w*(w - 1)**3*(w + 2)/4
Suppose -39 - 5 = -4*u. Suppose -j + 3*o = 0, 2*j - u = 4*o - 9*o. Find f, given that -4*f + 4*f + 4*f**2 - 3*f - f**j = 0.
0, 1, 3
Suppose -4*h = t, 2*h - 10 = -2*t + t. Suppose 4*k = -t*k. Suppose 2/5*d**4 + k*d + 2/5*d**2 + 4/5*d**3 + 0 = 0. Calculate d.
-1, 0
Let k = 1049895/2 + -524922. Suppose -3/2*m**5 - 54*m**2 + 0*m**4 + k*m**3 + 30*m + 0 = 0. What is m?
-5, 0, 1, 2
Let m(j) be the first derivative of 5*j**4 + 68*j**3/3 + 6*j**2 - 36*j + 4396. Factor m(a).
4*(a + 1)*(a + 3)*(5*a - 3)
Factor -288113*u**2 + 288108*u**2 + 710 - 10 + 65*u.
-5*(u - 20)*(u + 7)
Let s(n) be the third derivative of n**7/420 - 23*n**6/180 + 2*n**5 + 12*n**4 + 5*n**3/2 + 91*n**2. Let z(i) be the first derivative of s(i). Solve z(t) = 0.
-1, 12
Let l(q) be the first derivative of -q**6/120 - q**5/20 + q**4/12 + 2*q**3/3 + 93*q - 177. Let v(a) be the first derivative of l(a). What is h in v(h) = 0?
-4, -2, 0, 2
Let k = 73747 + -73745. Factor -3/5 + 4/5*u - 1/5*u**k.
-(u - 3)*(u - 1)/5
Let t = 3517644/3905 - 4504/5. Let n = 6260/2343 - t. What is m in 4*m**2 + 20/3*m + n - 4/3*m**4 - 4/3*m**3 = 0?
-1, 2
Let z(n) = 0*n**2 + n**2 + 1 - n + 0*n**2. Let v(f) = f**2 - 11*f + 16. Let p be ((-37)/(481/(-78)))/(-1). Let i(w) = p*z(w) + v(w). Factor i(d).
-5*(d - 1)*(d + 2)
Let u be -2 - -1 - 10*(-5)/10. Let t be 7*1/u - 11/(-44). Factor 1 - 8 + 6 - t*b - b**2.
-(b + 1)**2
Let r be 0*(-8 - -3 - -4). Suppose r = 30*n + 2 - 62. Factor 0*b + 0*b**3 + 0 + 0*b**n + 1/3*b**5 + 2/9*b**4.
b**4*(3*b + 2)/9
Suppose -13*h + 40 = 7*h. Determine b so that -h*b**3 - 1341 + 4*b**2 + 1341 = 0.
0, 2
Let 0*c + 71*c**2 + 1/4*c**4 - 285/4*c**3 + 0 = 0. What is c?
0, 1, 284
Let z(x) be the second derivative of -x**9/60480 - x**8/5376 - x**7/2520 + 59*x**4/12 + x + 4. Let o(h) be the third derivative of z(h). Factor o(i).
-i**2*(i + 1)*(i + 4)/4
Let u be (-303)/1616*1/(-3). Let y(t) be the third derivative of -1/480*t**5 + 0 + u*t**3 + 2*t**2 + 1/96*t**4 + 0*t. Factor y(m).
-(m - 3)*(m + 1)/8
Let v(y) be the second derivative of -y**5/4 + 95*y**4/12 + 100*y**3 - 1950*y. Factor v(m).
-5*m*(m - 24)*(m + 5)
Suppose -413 = -4*s + 27. What is h in -211*h**2 + s*h**2 - 3*h**3 + 81 + 128*h**2 - 81*h = 0?
3
Suppose -205 + 133 = -2*x + 9*a, x = -4*a - 32. Factor x + 9/5*q**5 + 24/5*q**3 + 0*q**2 + 42/5*q**4 + 0*q.
3*q**3*(q + 4)*(3*q + 2)/5
Let o(f) = -f**3 + 10*f**2 + 9*f + 30. Let s be o(11). Let l(m) be the second derivative of 0 + s*m - 1/3*m**3 - 1/12*m**4 - 1/2*m**2. Factor l(r).
-(r + 1)**2
Let j(b) = b**3 + 19*b**2 + 41*b - 32. Let z be j(-12). Let f = z - 480. Factor -1/7*o**f - 36/7 - 13/7*o**2 - 10/7*o**3 + 60/7*o.
-(o - 1)**2*(o + 6)**2/7
Factor 318/5 - 638/5*p + 322/5*p**2 - 2/5*p**3.
-2*(p - 159)*(p - 1)**2/5
Let m(n) = -5*n**3 - 7*n**2 - 90*n + 12. Let i(t) = 6*t**3 + 6*t**2 + 90*t - 14. Let d(b) = -6*i(b) - 7*m(b). Factor d(r).
-r*(r - 18)*(r + 5)
Let j(c) be the second derivative of c**3/6 - 11*c**2/2 + 12*c. Let o be j(12). Factor 1 + 0 - 21*p**2 - 3*p + o + 4*p.
-(3*p - 1)*(7*p + 2)
Let c(w) be the second derivative of 1/225*w**6 - 7/150*w**5 - 6/5*w**2 + 1/15*w**3 + 15 + 13/90*w**4 - w. Suppose c(v) = 0. What is v?
-1, 2, 3
Let z(w) = -w**2 - 42*w - 25. Let j be z(-41). Factor -44*i + 5*i**4 - 36 + 31 - 35 - j*i + 15*i**3 - 10*i**2.
5*(i - 2)*(i + 1)*(i + 2)**2
Let j = -49 - -52. Suppose -3*i = i + 3*u, 0 = -3*i - 3*u - j. Suppose 86*k**i - 4*k**2 + 42*k - 10*k - 100*k**2 - 34*k**3 + 20*k**4 = 0. What is k?
-4, 0, 2/5, 1
Let i(v) be the first derivative of -5*v**3/9 + 110*v**2 - 655*v/3 + 515. Factor i(y).
-5*(y - 131)*(y - 1)/3
Suppose -9*d + 99 = 2*d. Suppose -6*x - 9 = -d*x. Let -9*w + 2*w**3 - 4 + 7*w**3 - 1 + x*w**4 - 1 + 3*w**2 = 0. What is w?
-2, -1, 1
Let d(m) be the second derivative of -3*m**5/20 + 31*m**4/4 - 72*m**3 - 2430*m**2 + 9928*m. Suppose d(a) = 0. Calculate a.
-5, 18
Let h(j) be the first derivative of -55*j**3/3 + 164*j**2 + 12*j - 65. Find s such that h(s) = 0.
-2/55, 6
Let r(g) be the second derivative of -7*g**4/66 + g**3/11 + 4*g**2/11 + 180*g + 3. Factor r(d).
-2*(d - 1)*(7*d + 4)/11
Let x(v) be the first derivative of -v**3/2 - 5*v**2/2 + 16*v - 2260. Solve x(g) = 0.
-16/3, 2
Suppose 0 = -101*o + 95*o + 30. Suppose -4*b + 16 = -5*f + 4*f, 2*b - o*f = 8. Factor 3/2*y**2 + 1/2*y**3 + 1 - 5/2*y - 1/2*y**b.
-(y - 1)**3*(y + 2)/2
Suppose 2*o - 12 = -6. Let y(j) = -6*j**2 + 21*j - 5. Let n be y(o). Factor 3/2*d**2 + 0*d + 3*d**3 + 3/2*d**n + 0.
3*d**2*(d + 1)**2/2
Let k(v) be the first derivative of v**4/8 + 55*v**3/6 + 151*v**2/2 + 196*v + 7044. Factor k(i).
(i + 2)*(i + 4)*(i + 49)/2
Let o(u) = 15*u**3 + 630*u**2 - 10*u - 575. Let r(n) = 67*n**3 + 2830*n**2 - 45*n - 2588. Let a(h) = 22*o(h) - 5*r(h). Factor a(l).
-5*(l - 1)*(l + 1)*(l + 58)
Let u(n) be the second derivative of n**4/30 - 166*n**3/3 + 34445*n**2 + 40*n + 3. Factor u(a).
2*(a - 415)**2/5
Let s(r) be the first derivative of r**5/15 - 51*r**4/4 + 151*r**3/3 - 451*r**2/6 + 50*r - 2319. Let s(p) = 0. Calculate p.
1, 150
Let u(d) be the second derivative of -1/15*d**5 - 1/2*d**2 - 1/9*d**4 + 0*d**3 + 35*d + 0. Let v(t) be the first derivative of u(t). Solve v(z) = 0 for z.
-2/3, 0
Let o(w) = -2*w**2 + 33*w - 8. Let r be o(16). Let h be (r/10)/(2 - 32/20). Suppose 3*l**h - 36 + 5*l + 3*l**3 + 4*l - 11*l - 22*l = 0. What is l?
-2, 3
Suppose -4*f + 5*q + 183 = 0, 81 = f + q + 24. Suppose -2071*p + 4*p**3 - 80 - 2173*p + 4372*p - f*p**2 = 0. Calculate p.
1, 2, 10
Let s(l) be the third derivative of -19 + 0*l + 2/15*l**5 - 1/6*l**4 + 0*l**6 - 4/105*l**7 - 2*l**2 + 1/84*l**8 + 0*l**3. What is c in s(c) = 0?
-1, 0, 1
Let k = -654459 - -654461. Let -3/7*n**3 + 20/7 + 36/7*n + n**k = 0. What is n?
-2, -2/3, 5
Let t = 203451/28 + -7266. Let k(a) be the first derivative of -t*a**4 - a**3 - 33/14*a**2 - 15/7*a + 21. Factor k(j).
-3*(j + 1)**2*(j + 5)/7
Let j(n) be the second derivative of -1/30*n**4 - 2*n - 4/5*n**2 - 1/3*n**3 + 18. Factor j(y).
-2*(y + 1)*(y + 4)/5
Let q be -7 - 14*9/(-18). Let a(b) be the second derivative of 1/6*b**6 - 1/4*b**5 + q - 5/12*b**4 - 14*b + 0*b**2 + 5/6*b**3. Determine r, given that a(r) = 0.
-1, 0, 1
Suppose 2*x = x - 2*j, -5*j - 13 = -4*x. Suppose -x = -21*b + 61. Factor w**b - 1/2*w**2 - w + 1/2*w**4 + 0.
w*(w - 1)*(w + 1)*(w + 2)/2
Suppose -5*u + 2*k - 4 = -7*u, u + 3*k = 2. Let -2*r**u + 31 - 3*r**2 + 7 - 3 + 30*r = 0. Calculate r.
-1, 7
Factor -132*z - 125*z - 12*z**3 - 30*z**3 - 3*z**4 - 75*z**2 + 221*z.
-3*z*(z + 1)**2*(z + 12)
Factor 1/4*l**2 - 755/2*l + 570025/4.
(l - 755)**2/4
Let x(k) = 4*k**2 - 17*k + 13. Let b = 18 - 12. Let p(q) = q**2 - 3 - q - 6*q**2 + 5*q + 4*q**2. Let s(m) = b*x(m) + 22*p(m). Factor s(w).
2*(w - 6)*(w - 1)
Suppose 5*w + 22 = -4*n, 0*w + 28 = -3*n + 2*w. Let x be 8 + (5 - 1) + n. Factor -a**3 + 3*a**x - 3*a + 5*a**3 - 3*a**2 - a**3.
3*a*(a - 1)*(a + 1)**2
Let f(z) be the third derivative of z**5/30 - 5*z**4/3 + 19*z**3/3 + 1319*z**2. Factor f(c).
2*(c - 19)*(c - 1)
Let t(q) be the second derivative of 0 + 0*q**2 - 1/3*q**4 - 2*q + 2*q**3. Find r such that t(r) = 0.
0, 3
Let y(r) be the third derivative of r**8/2856 - r**7/357 + r**6/340 + r**5/102 - r**4/51 + 102*r**2. Find m, given that y(m) = 0.
-1, 0, 1, 4
Let u(n) = -23*n**2 + 2*n - 1. Let z(i) = -51*i**2 - 11*i + 268. Let l(p) = -2*u(p) + z(p). Factor l(b).
-5*(b - 6)*(b + 9)
Let z(t) be the first derivative of 3/5*t**2 + 199 + 2/15*t**3 - 4*t. What is m in z(m) = 0?
-5, 2
Factor -33/5*p - 3/5*p**2 + 78/5.
-3*(p - 2)*(p + 13)/5
Suppose 0 = -2*d + 4*g + 20, -5*g = 705 - 725. Let x be (-1)/(-6) - (-2337)/18. Factor -338/3 - d*j**2 + 2/3*j**3 + x*j.
2*(j - 13)**2*(j - 1)/3
Suppose -2*r + 0*r + 10 = 0. Suppose r*j = -2*m + 12, 0 = -m - 0*m - 2*j + 5. Solve 2 - 53*z**3 + 56*z**3 + z - 5*z**2 - m = 0 for z.
-1/3, 1
Let h(y) be the third derivative of -y**8/4032 - y**7/144 + y**6/8 + 19*y**5/15 - 4*y**2 + y. Let z(v) be the third derivative of h(v). Factor z(d).
-5*(d - 2)*(d + 9)
Let k(t) = 7*t - 269. Let y be k(39). Let f be y/(168/469) - 1/2. Factor 2/3*o**3 + 0 - 16/3*o**2 + f*o.
2*o*(o - 4)**2/3
Let r(a) be the first derivative of 0