n that 20*s + 12 + 15*s + 2*s + m*s + 21*s**2 = 0.
-2, -2/7
Determine p, given that -267/4*p - 27/2*p**2 - 3/4*p**3 - 54 = 0.
-9, -8, -1
Factor -605625*h**2 + 5250*h + 13546875/2*h**3 - 12.
3*(25*h - 2)*(425*h - 2)**2/2
Factor 12544/5 - 4*b**3 - 63168/5*b + 2244/5*b**2.
-4*(b - 56)**2*(5*b - 1)/5
Solve -895*j**4 - 42*j**2 + 10*j - 55*j + 814*j**4 + 27 + 126*j**3 + 15*j**5 = 0.
-3/5, 1, 3
What is z in 0 + 0*z - 24/5*z**3 - 24/5*z**2 + 6/5*z**5 + 6/5*z**4 = 0?
-2, -1, 0, 2
Let x(o) be the first derivative of o**5/30 + 4*o**4/3 + 110*o**3/9 - 438. Let x(c) = 0. What is c?
-22, -10, 0
Let z(p) be the second derivative of -17*p**6/120 + 37*p**5/80 + 15*p**4/16 - 3*p**3/8 + 1088*p. Find w such that z(w) = 0.
-1, 0, 3/17, 3
Let w(z) = -277*z**3 - 4*z - 4. Let k be w(-1). Solve -2*l**2 + 272 + 5*l**2 - k + 2*l**2 = 0 for l.
-1, 1
Let b(r) be the first derivative of -7*r**6/2 + 4488*r**5/5 - 3018*r**4 + 3166*r**3 - 627*r**2/2 - 1266*r + 1322. What is g in b(g) = 0?
-2/7, 1, 211
Let 1306/9*t**2 + 434/3 - 2/9*t**3 - 2606/9*t = 0. What is t?
1, 651
Let s(i) be the third derivative of i**5/20 + 57*i**4/8 + 106*i**3 + 3953*i**2. Find u, given that s(u) = 0.
-53, -4
Determine a, given that 16810*a + 250/3*a**3 + 137842/3 + 2050*a**2 = 0.
-41/5
Let z(m) be the first derivative of m**4/2 + 106*m**3/3 + 915*m**2 + 10350*m + 4446. Factor z(q).
2*(q + 15)**2*(q + 23)
Suppose -7*r + 3*r + 0*r + 24 = 0. Let s(t) be the first derivative of 1/4*t**3 + 18 + r*t + 9/4*t**2. Factor s(f).
3*(f + 2)*(f + 4)/4
Let i(o) be the first derivative of -o**5/100 + 19*o**4/60 - 33*o**3/10 + 81*o**2/10 - 62*o + 58. Let u(y) be the first derivative of i(y). Solve u(k) = 0.
1, 9
Let j(g) = -7*g**2 + 391*g + 1. Let d(b) = -4*b**2 + b + 1. Let r(m) = -d(m) + j(m). Factor r(o).
-3*o*(o - 130)
Let b(a) = 4*a**2 - 782*a - 149001. Let m(j) = -3*j**2 + 780*j + 149000. Let p(o) = 4*b(o) + 5*m(o). Factor p(u).
(u + 386)**2
Suppose 1 = b - 1. Suppose -3*f - 68 + 68 = -10*f. Factor 0*o + 1/3*o**b + f.
o**2/3
Suppose 5*l = 3*i - 1091, 15*i - 16*i + 4*l = -366. Let b = i - 359. Factor 2/15*g**2 - 2/15*g**b + 0 + 4/15*g.
-2*g*(g - 2)*(g + 1)/15
Let z(j) be the first derivative of -110 - 486/5*j + 232/5*j**3 - 3051/10*j**2 - 39/20*j**4. Factor z(h).
-3*(h - 9)**2*(13*h + 2)/5
Suppose -3*w - 8 = -7*w. Determine b, given that -219*b**w + 39*b - 53*b - 141*b**3 - 18 - 27*b**4 - 109*b = 0.
-3, -1, -2/9
Let l be 7494/(-70) - -5 - 1*-2. Let q = -678/7 - l. Factor -4/5*f**4 - 24/5*f**3 - 48/5*f - q - 52/5*f**2.
-4*(f + 1)**2*(f + 2)**2/5
Let l = 6308051/11 + -572691. Factor -260/11*b + l + 2/11*b**2.
2*(b - 65)**2/11
Let m(f) be the first derivative of -20/3*f + 10*f**2 - 15 - 5*f**3. Factor m(z).
-5*(3*z - 2)**2/3
Let q(v) = -3*v**2 + v + 2. Let u(n) = n - 1. Suppose 5 = -34*g + 39*g. Let y(j) = g*q(j) + 2*u(j). Determine l, given that y(l) = 0.
0, 1
Let w(z) be the first derivative of 2/45*z**5 + 88/9*z**2 + 2/3*z**4 + 202 + 32/3*z + 34/9*z**3. Factor w(i).
2*(i + 1)*(i + 3)*(i + 4)**2/9
Let i = -11031/14 - -33233/42. Factor i*j**3 - 16/3*j**2 + 8/3*j - 2/3*j**4 + 0.
-2*j*(j - 2)**2*(j - 1)/3
Let q(y) be the first derivative of -y**4/4 + 2378*y**3/3 - 705670*y**2 - 2832200*y + 4659. What is f in q(f) = 0?
-2, 1190
Suppose 0 = 2*w + 2*r, -19*w = -22*w - r + 10. What is q in w - 2*q + 3*q**3 - 2 - 5*q**2 - q + 2*q**2 + 0 = 0?
-1, 1
Let c = 722 - 3583/5. Let j = c - 1/15. Suppose j*k**4 + 0*k**2 + 0 - 2/3*k**5 + 18*k - 12*k**3 = 0. Calculate k.
-1, 0, 3
Suppose 11 = 5*n - 14. Suppose 4*k = 5*p - 117 - 89, 2*k = -n*p + 182. Solve -12*z**2 - 8*z + p - 4*z**3 - 78 + 40 = 0.
-2, -1, 0
Let w(r) = r**2 - r - 2. Let x = -355 - -358. Let h(q) = 2*q**3 - 9*q**2 - 15*q - 4. Let p(m) = x*w(m) + h(m). Suppose p(k) = 0. What is k?
-1, 5
Let j(a) be the third derivative of 0*a**3 + 66*a**2 + 0 - 1/1020*a**6 + 1/204*a**4 + 0*a + 0*a**5. Factor j(s).
-2*s*(s - 1)*(s + 1)/17
Let n be (3 + 4)*(-351)/273 + 12. Determine j so that -288/19 - 334/19*j**n + 336/19*j - 2/19*j**5 + 238/19*j**2 + 50/19*j**4 = 0.
-1, 1, 12
Suppose 43 = 11*u - 1. Let -8 - u*n - 9*n**2 - 2*n**2 + 15*n**2 + 0*n = 0. What is n?
-1, 2
Suppose 38*h + 83 = -31. Let u be (-1)/h + (-7 - 174/(-18)). Suppose 19/2*z + u - 3/2*z**3 + z**2 = 0. Calculate z.
-2, -1/3, 3
Let x(u) be the second derivative of u**6/72 + u**5/3 - 15*u**4/8 - u**3/2 + 4*u**2 - 194*u. Let b(w) be the second derivative of x(w). Factor b(m).
5*(m - 1)*(m + 9)
Suppose 8*w - 13*w + 5*u = 10, w = -4*u + 8. Let o(s) be the first derivative of w*s + 2 - 1/2*s**5 + 5/12*s**6 + 0*s**3 + 0*s**4 + 0*s**2. Factor o(v).
5*v**4*(v - 1)/2
Suppose 65 = 958*g - 945*g. Let r(s) be the second derivative of -1/4*s**g + 14*s + 0*s**2 + 0 + 5/12*s**4 + 5/3*s**3. Determine w, given that r(w) = 0.
-1, 0, 2
What is x in -176*x**2 + 137*x**2 + 45*x**2 + 3*x**3 - 9*x = 0?
-3, 0, 1
Let f = -8333264 - -41535938/5. Let x = -25990 - f. Suppose -x*d**3 - 16/5 + 276/5*d**2 + 32/5*d = 0. What is d?
-1/4, 2/9, 2/3
Let y(q) = q**4 + 6*q**3 + 4*q. Suppose -136 = 7*x - 108. Let f(v) = 6*v**3 + 3*v. Let n(s) = x*f(s) + 3*y(s). Solve n(u) = 0.
0, 2
Let a(k) = -153*k + 9. Let n be a(3). Let w be n/(-442) + ((-27)/39)/9. Factor 8/17*y**2 - 10/17*y**4 - w*y**3 + 0*y + 0.
-2*y**2*(y + 2)*(5*y - 2)/17
Let h(l) = 4*l**3 + 421*l**2 + 409*l - 824. Let s(v) = -20*v**3 - 2104*v**2 - 2044*v + 4120. Let b(y) = -24*h(y) - 5*s(y). Factor b(g).
4*(g - 1)*(g + 2)*(g + 103)
Let h(v) be the first derivative of -v**8/588 + v**6/70 - 2*v**5/105 - v**2/2 - 28*v + 70. Let y(x) be the second derivative of h(x). Factor y(d).
-4*d**2*(d - 1)**2*(d + 2)/7
Let w(c) be the second derivative of -4*c**7/21 + 35*c**6/6 - 613*c**5/10 + 239*c**4 - 261*c**3 - 243*c**2/2 + 10250*c. Suppose w(z) = 0. Calculate z.
-1/8, 1, 3, 9
Let o(u) be the second derivative of 48*u - 1/18*u**4 - 300*u**2 + 20/3*u**3 + 0. What is s in o(s) = 0?
30
Let j(x) be the first derivative of -x**3/15 - 15*x**2/2 + 154*x/5 + 1539. Find g, given that j(g) = 0.
-77, 2
Let w be (-53589)/36 - (-42)/168. Let g = w - -1491. Solve 28*t**2 + g + 6*t**3 + 50/3*t = 0 for t.
-4, -1/3
Let x be 3/(12/8) - -158. Suppose v - x = -9*v. Factor v*b - 24*b - b**4 - b**4 + 4 + 14*b - 2*b**2 - 6*b**3.
-2*(b - 1)*(b + 1)**2*(b + 2)
Let b be (-4860)/28*-3*70/(-220). Let m = -331/2 - b. Factor -m*v + 0*v**2 + 4/11*v**3 + 0 - 2/11*v**5 + 0*v**4.
-2*v*(v - 1)**2*(v + 1)**2/11
Let p = 3326 + -3326. Let c(v) be the first derivative of 14 + 8/21*v**3 + p*v**2 + 0*v + 1/7*v**4. Factor c(l).
4*l**2*(l + 2)/7
Let y(l) be the second derivative of -169*l**5/25 + 1118*l**4/15 - 256*l**3/3 + 192*l**2/5 - 50*l - 8. Let y(v) = 0. What is v?
4/13, 6
Let p(u) be the first derivative of 0*u**2 + 25/22*u**4 + 38 + 1/33*u**6 + 0*u + 0*u**3 - 4/11*u**5. Factor p(g).
2*g**3*(g - 5)**2/11
Let 54*s**4 + 124*s**3 + 8*s**5 - 839*s + 823*s + 36*s**2 - 26*s**3 = 0. Calculate s.
-4, -2, -1, 0, 1/4
Let z(l) = -l**3 + 13*l**2 + 15*l - 12. Let u be z(14). Factor -23*v**2 - 12 + 68*v - 12 - 37*v**u + 16*v**3.
4*(v - 2)*(v - 1)*(4*v - 3)
Let l(k) be the first derivative of -k**8/1344 + k**6/480 + 55*k**2/2 - 46. Let n(x) be the second derivative of l(x). Factor n(j).
-j**3*(j - 1)*(j + 1)/4
Let v(o) be the first derivative of -39*o**5/5 + 9*o**4 + 79*o**3 + 9*o**2 - 5609. Suppose v(d) = 0. What is d?
-2, -1/13, 0, 3
Factor 86/5*l - 36 + 2/5*l**2.
2*(l - 2)*(l + 45)/5
Let o(j) be the second derivative of -7/45*j**5 - 3*j + 1 + 14/27*j**3 - 2/135*j**6 + 1/3*j**4 - 16/9*j**2. Determine g so that o(g) = 0.
-8, -1, 1
Let r = 254686 - 764053/3. Find h, given that -r*h - 1/6*h**2 - 25/6 = 0.
-5
Let f(m) be the first derivative of 2/51*m**3 - 4/17*m**2 - 18 + 8/17*m. Factor f(a).
2*(a - 2)**2/17
Let f be (-2 + 4/4)*432/12. Let d be (-4 - -9) + -3*(-57)/f. What is v in -d*v**2 - 1/2*v + 0 = 0?
-2, 0
Let j(q) be the third derivative of -q**8/168 - 113*q**7/630 - 581*q**6/1080 - 86*q**5/135 - 17*q**4/54 + 3706*q**2. Find h such that j(h) = 0.
-17, -2/3, -1/2, 0
Let n(t) be the first derivative of -t**3/6 - t**2 + 16*t - 902. Factor n(z).
-(z - 4)*(z + 8)/2
Factor -84/5 + 19/5*h - 1/5*h**2.
-(h - 12)*(h - 7)/5
Let d(s) = -s**2 + 5*s - 1. Suppose -5*j + j + 8 = 0, 0 = o - 2*j. Let n be d(o). What is g in 9*g + n*g**3 - 3*g**2 - 1 + 1 - 3 - 6*g**2 = 0