(z) = 0. Calculate z.
0, 3, 5
Let k(j) = -j**5 - j**3 + 3*j - 1. Let n(m) = 7*m**5 + 36*m**4 + m**3 - 624*m**2 - 606*m + 10. Let y(c) = 10*k(c) + n(c). Find d such that y(d) = 0.
-3, -1, 0, 8
Let i = -78/5029 - -176249/15087. Factor -15 + 85/3*h - 5/3*h**3 - i*h**2.
-5*(h - 1)**2*(h + 9)/3
Let t be 19/(494/559) + 18/(-4). Let u(y) be the second derivative of 0 + 1/5*y**2 + t*y + 0*y**3 - 1/30*y**4. Suppose u(h) = 0. Calculate h.
-1, 1
Solve 4/5*b**2 + 0 - 284/5*b = 0 for b.
0, 71
Let w(j) be the first derivative of -j**6/18 + j**5/15 + 11*j**4/12 + 7*j**3/9 - 5*j**2/3 - 8*j/3 + 5224. Let w(b) = 0. What is b?
-2, -1, 1, 4
Suppose 5*l + 123 - 149 = 4*c, 4 = -c. Let -2/3*k**3 - 1/3 + k**4 - 2/3*k**l + k - 1/3*k**5 = 0. What is k?
-1, 1
Let s = -2828/3 + 3124934/3315. Let x = s + 4434/7735. Factor 0 - x*n + 2/7*n**2.
2*n*(n - 2)/7
Let t = -651 - -660. Let u be t/10 + (-43)/86. Determine x, given that 0*x - 2/5*x**4 - 2/5*x**3 + 0 + u*x**5 + 2/5*x**2 = 0.
-1, 0, 1
Let d(p) = p**2 - 4*p - 1. Let q = -132 - -131. Let b(h) = h**2 - 2*h + 1. Let a(o) = q*d(o) - b(o). Determine y so that a(y) = 0.
0, 3
Let j(m) = -m - 4. Let r be j(-11). Suppose -4*h = -13*h + 18. Determine x, given that r*x**5 - 12*x**4 + x - 4*x**3 + x**5 - 5*x + 12*x**h + 0*x**5 = 0.
-1, 0, 1/2, 1
Let b(f) be the third derivative of 3/112*f**8 + 0*f**5 + 1/4*f**6 - 1/7*f**7 + 2*f**2 + f**3 + 0*f - 1 - 5/8*f**4. Factor b(t).
3*(t - 1)**4*(3*t + 2)
Let b = -5040347/6 + 840058. Suppose 2 + 1 = d. Factor -b*u**4 - 25/6 - 2*u**d - 10*u - 23/3*u**2.
-(u + 1)**2*(u + 5)**2/6
Factor -56/3*g - 29/3*g**2 - 1/6*g**3 + 0.
-g*(g + 2)*(g + 56)/6
Let v = 114094 - 114091. Let z = -2 - -4. Factor 4/5*d**z - 3/5*d**v + 1/5*d - 2/5.
-(d - 1)**2*(3*d + 2)/5
Let r(p) be the first derivative of p**8/13440 + p**7/2240 - p**5/240 - 65*p**3/3 + 3*p + 42. Let n(w) be the third derivative of r(w). Solve n(i) = 0.
-2, 0, 1
Let o(t) be the second derivative of t**4/12 - 403*t**3/6 + 201*t**2 + 8*t + 252. Factor o(x).
(x - 402)*(x - 1)
Let j(c) = -c**3 - 116*c**2 + 859*c - 244. Let r be j(-123). Factor -4/7 + 1/7*k**r + 3/7*k.
(k - 1)*(k + 4)/7
Solve -47958*j + 30*j**3 - 5*j**4 + 405 - 68*j**2 + 47592*j + 4*j**4 = 0.
-3, 1, 5, 27
Let p = -160 + 162. Determine f so that 5*f**3 + 0*f**p + 6*f**2 - 10*f**3 + 13*f - f**2 + 17*f = 0.
-2, 0, 3
Let m = 1864462 + -1864460. Factor 16/11*b**3 + 32/11*b**m - 12/11*b**4 + 64/11 - 96/11*b + 2/11*b**5.
2*(b - 2)**4*(b + 2)/11
Let n(z) be the first derivative of z**3/18 - 247*z**2/3 + 122018*z/3 + 2917. Determine i, given that n(i) = 0.
494
Let k(j) = -1. Let q(g) = 2*g**3 + 328*g**2 + 650*g + 333. Let o(t) = 9*k(t) + q(t). Factor o(s).
2*(s + 1)**2*(s + 162)
Let u(z) be the third derivative of -z**7/525 + 32*z**6/75 - 124*z**5/75 - 128*z**4/15 + 336*z**3/5 - 561*z**2. Let u(k) = 0. Calculate k.
-2, 2, 126
Let j(x) be the third derivative of -x**7/504 - x**6/48 + 39*x**4/8 - 6*x**2 - 4. Let t(s) be the second derivative of j(s). Factor t(l).
-5*l*(l + 3)
Let v(b) be the first derivative of -10*b**4 + 10/3*b**3 + 5/6*b**6 + 2*b**5 + 50 + 35/2*b**2 - 20*b. Factor v(l).
5*(l - 1)**3*(l + 1)*(l + 4)
Let m(h) = 110*h - 327. Let l be m(3). Solve 0 - 15/2*y**5 - 20*y**4 - 15/2*y**l + 0*y + 5*y**2 = 0 for y.
-2, -1, 0, 1/3
Let t(k) be the third derivative of 0*k + 7/20*k**5 - 1/32*k**6 + 51*k**2 + 1/840*k**7 - 13/6*k**4 + 8*k**3 + 0. What is j in t(j) = 0?
3, 4
Suppose 47 - 32 = 5*n. Factor 26*a**n - 17*a + 48 - 29*a**3 - a - 27*a**2.
-3*(a - 1)*(a + 2)*(a + 8)
Let n = -427 + 439. Suppose -9 + 42 = 3*u - 3*s, -2*u + 4*s + 12 = 0. Factor -n*f**5 + u*f - 16*f**2 + 28*f**5 + 4*f**3 - 16*f**3 - 12*f**5 + 8*f**4.
4*f*(f - 1)**2*(f + 2)**2
Let a be 0/2 + 450/(-615). Let o = a + 675/82. Factor -9*j + o + 3/2*j**2.
3*(j - 5)*(j - 1)/2
Let g(q) = 3*q**2 - 70*q - 45. Let d be g(24). Let i(a) be the third derivative of 5/24*a**4 + a**d + 22*a**2 + 0*a + 1/60*a**5 + 0. Solve i(r) = 0 for r.
-3, -2
Let s = 157 + -155. Factor -2*b**2 + 10*b**2 - 24*b - 6*b**s - 5*b**2.
-3*b*(b + 8)
Let f(z) = 2*z + 5*z**2 - 3*z - 1 - 5*z**2 + z**2. Let u(c) = 3*c**2 + 3*c + 4. Let j(l) = -4*f(l) + u(l). Factor j(m).
-(m - 8)*(m + 1)
Let t = -1041 - -1083. Let b be (39/2)/(-13)*(-72)/t. Suppose -78/7*n**2 + 8/7 - 16/7*n - 58/7*n**3 + b*n**5 + 2*n**4 = 0. What is n?
-1, 2/9, 2
Factor 4/5*x**4 - 244*x**2 + 0*x + 224/5*x**3 + 0.
4*x**2*(x - 5)*(x + 61)/5
Let z be 8*(-7)/(7*-4). Determine g, given that 11*g - 2 - z*g - 3*g - 3*g - g**2 = 0.
1, 2
Let n(s) be the third derivative of s**8/26880 + s**7/1344 + s**6/160 + 3*s**5/20 + 78*s**2. Let q(v) be the third derivative of n(v). What is f in q(f) = 0?
-3, -2
Let p(f) = -7*f - 33. Let m be p(-5). Factor 44 - 19 - 45*o - 44 - 21 - 5*o**m.
-5*(o + 1)*(o + 8)
Solve -2/5*h**3 + 0 + 48*h**2 + 0*h = 0 for h.
0, 120
Let u = 102021 - 102021. Suppose -1/2*o**2 + 8*o + u = 0. Calculate o.
0, 16
Let c = 92 + -54. Factor -3*b**4 - c*b + 75*b**2 - 6*b**3 - 25*b - 2*b**3 - b**3.
-3*b*(b - 3)*(b - 1)*(b + 7)
Let m(q) = 5*q**4 - 13*q**3 + 41*q**2 - 23*q - 2. Let v(y) = -7*y**4 + 13*y**3 - 42*y**2 + 21*y + 3. Let z(u) = -3*m(u) - 2*v(u). Factor z(t).
-t*(t - 9)*(t - 3)*(t - 1)
Find m, given that -1/3*m**3 - 998001*m - 332334333 - 999*m**2 = 0.
-999
Suppose 6*p = -x + 4*p + 8, 2*x = 4*p + 24. Solve 6*j + 10*j**3 + 58 - 8*j**3 - 58 - j**4 - x*j**2 + 3*j**4 = 0 for j.
-3, 0, 1
Factor 2/3*a**2 + 6104018/3 + 6988/3*a.
2*(a + 1747)**2/3
Let d(h) = -h - 1. Let u be 285/76*(-12)/(-9). Let k(z) = z**2 + 5*z + 13. Let n(t) = u*k(t) - 15*d(t). Determine q, given that n(q) = 0.
-4
Suppose 2*j = 4*u - 22, -6 = -5*u - 4*j + 2. Let p(v) = v - 2. Let x be p(u). Suppose -13 - 4*i**x - 27 + 4 - 24*i = 0. What is i?
-3
Let d(v) be the third derivative of -169*v**6/720 + 2483*v**5/360 + 97*v**4/18 + 5*v**3/3 + 9*v**2 + 11. What is m in d(m) = 0?
-2/13, 15
Let s = -12795 - -12800. Determine b, given that -4/17*b**4 + 0*b**2 + 0 - 6/17*b**3 + 0*b + 2/17*b**s = 0.
-1, 0, 3
Suppose b - 4*s - 45 = 0, 0 = b + 4*s - 33 - 12. Suppose 0 = -21*i + 45 - b. Determine r, given that -1/2*r + i + 1/6*r**2 = 0.
0, 3
Let f(w) = w**2 + 26. Let j = 58 - 58. Let n be f(j). Factor 6*z**2 - 21*z + 41*z - n + 10.
2*(z + 4)*(3*z - 2)
Let g(j) = -3*j**3 + 1459*j**2 - 7*j - 1474. Let x(u) = -4*u**3 + 2188*u**2 - 12*u - 2212. Let m(v) = -8*g(v) + 5*x(v). Factor m(q).
4*(q - 183)*(q - 1)*(q + 1)
Let d(f) be the third derivative of 2/21*f**3 - 1/210*f**5 + 3*f - 7*f**2 + 0 + 1/84*f**4. Factor d(k).
-2*(k - 2)*(k + 1)/7
Let t be (-1)/5*4 - 3/15. Let x(a) = -16*a**3 + 3*a**2 + 6*a + 4. Let q be x(t). Let 2*g**3 + 52*g**2 + q - 213 + 140*g + 2*g**3 = 0. Calculate g.
-7, 1
Let i(r) = -17*r**3 + 2*r**2 + 6*r - 1. Let l be i(-2). Suppose -l = -38*n + 59. Suppose -1/3*s**3 + 0 + 0*s + 1/6*s**n - 1/6*s**4 + 0*s**2 = 0. Calculate s.
-1, 0, 2
Let h(q) be the third derivative of q**5/150 + 101*q**4/6 + 51005*q**3/3 - 8*q**2 - 129. Factor h(j).
2*(j + 505)**2/5
Let c = 291 + -287. Factor 143*b**c - 74*b**4 - 68*b**4 + b**3 - 2*b**2.
b**2*(b - 1)*(b + 2)
Let i be (-1120)/25 + 2/(-10). Let a = -40 - i. Determine q, given that -440*q**3 + 10 - 34*q - 102*q**a + 320*q**4 + 22*q**5 - 51*q + 280*q**2 = 0.
1/2, 2
Let j be ((-46)/(-33))/(13 + (-6369)/473) - -3. Let m(c) be the third derivative of 1/660*c**6 + 0*c**4 + 0*c**3 + 0*c + 0 + j*c**5 - 24*c**2. Factor m(w).
2*w**2*(w + 1)/11
Suppose 16*s - 104 = -22*s - 14*s. Solve -9/7*y**4 - 3*y**3 - 24/7 + 3/7*y**5 + 18/7*y + 33/7*y**s = 0 for y.
-2, -1, 1, 4
Factor 1253*j**2 - 416*j**2 - 422*j**2 - 90*j - 417*j**2 + 92.
-2*(j - 1)*(j + 46)
Let l be (0 - -42)/(11/66*6). Let g be l/2*((-240)/(-56))/15. Factor 18 - 18*z + g*z**2 - 2/3*z**3.
-2*(z - 3)**3/3
Let v(n) be the third derivative of -2*n**7/525 - n**6/25 - 3*n**5/25 + 310*n**2. Factor v(s).
-4*s**2*(s + 3)**2/5
Suppose u - n = -4*n - 2, -2*n - 24 = -5*u. Factor -6*h + 0*h + 9*h - 4*h**3 - u*h**4 + h + 4*h**2.
-4*h*(h - 1)*(h + 1)**2
Let b be (-7)/(-8) + -79 + (-4403)/(-56). Find h such that b*h**2 - 4 + h = 0.
-4, 2
Let t(j) = -50*j**2 - 435*j. Let x(u) = -7*u**2 - 62*u. Suppose i + 21 = 2*d + d, 4*d = 4*i + 68. Let y(a) = i*x(a) + 2*t(a). Factor y(b).
5*b*(b + 12)
Let k(z) = z**4 + z**2 + z - 4. Let p(c) = c**5 + 38*c**4 + 357*c**3 + 760*c**2 - 474