(z).
-5*z**2*(z - 3)*(z + 2)
Let q(o) be the second derivative of 39*o + 0 + 7/33*o**3 + 1/66*o**4 + 12/11*o**2. Solve q(c) = 0.
-4, -3
Let h(w) be the second derivative of -17/30*w**6 + 26*w**2 - 66*w - 35/12*w**4 - 28/3*w**3 + 1/42*w**7 + 11/4*w**5 + 0. Determine l, given that h(l) = 0.
-1, 1, 2, 13
Let d(t) be the third derivative of 2*t**7/105 - 211*t**6/84 - 587*t**5/70 - 769*t**4/84 - 11*t**3/3 + 1933*t**2. Suppose d(y) = 0. Calculate y.
-1, -1/2, -1/7, 77
Let z(g) be the first derivative of 4*g**5/15 - 15*g**4 - 1000*g**3/9 + 988. Factor z(r).
4*r**2*(r - 50)*(r + 5)/3
Let 737*t - t**2 + 2756 - 221*t + 4*t**2 - 2042 + 2751 = 0. Calculate t.
-165, -7
Let k = -6656 - -6656. Let l(x) be the second derivative of -1/48*x**4 + k + 0*x**2 - 13*x + 1/12*x**3. Determine r, given that l(r) = 0.
0, 2
Let q(t) be the first derivative of -t**3 + 249*t**2/2 + 1044*t + 1140. Factor q(x).
-3*(x - 87)*(x + 4)
Let t = -190 - 137. Let o = t + 327. Suppose -1/4*y + 1/2*y**2 - 1/4*y**3 + o = 0. What is y?
0, 1
Solve 42592/3 - 880*a**2 - 128/3*a**3 - 2/3*a**4 - 15488/3*a = 0.
-22, 2
Let p be -28*(-8)/18 + -4 + (-592)/74. Let 2/3*x + p + 2/9*x**2 = 0. What is x?
-2, -1
Let u(m) = 5*m**3 - 806*m**2 + 5*m + 802. Let w(a) = 24*a**3 - 3225*a**2 + 21*a + 3207. Let z(r) = -9*u(r) + 2*w(r). What is x in z(x) = 0?
-268, -1, 1
Suppose -1795 + 530*p**2 - 5*p**5 + 600*p + 3555 - 20*p**4 - 1760 + 95*p**3 = 0. What is p?
-4, -3, -2, 0, 5
Let u(g) be the second derivative of 1/9*g**3 + 1/108*g**4 - 93*g + 0 - 7/18*g**2. Determine b, given that u(b) = 0.
-7, 1
Let x(n) be the first derivative of 2*n**5/15 - 2*n**4/3 + 4*n**3/9 + 4*n**2/3 - 2*n + 13. Determine d so that x(d) = 0.
-1, 1, 3
Let q(d) be the second derivative of -1/60*d**5 + 11/2*d**2 + 4*d - 5/36*d**4 - 1/6*d**3 + 0. Let h(p) be the first derivative of q(p). Factor h(n).
-(n + 3)*(3*n + 1)/3
Let r be 2583/(-42)*(-68)/(-6). Let j = r - -701. Factor 0*q**j + 0 + 1/6*q + 0*q**2 - 1/3*q**3 + 1/6*q**5.
q*(q - 1)**2*(q + 1)**2/6
Let o(i) be the third derivative of i**6/3240 + 83*i**5/1080 - 7*i**4/18 - 92*i**3/3 + 304*i**2. Let t(b) be the first derivative of o(b). Factor t(y).
(y - 1)*(y + 84)/9
Let f(b) be the first derivative of -8/15*b - 2/45*b**3 - 4/15*b**2 + 26. Find y such that f(y) = 0.
-2
Suppose -59*d - 340*d + 418 = -1178. Let s(f) be the third derivative of 0*f + 0 - 32*f**2 - 5/9*f**3 - 1/6*f**d - 1/90*f**5. Solve s(m) = 0 for m.
-5, -1
Suppose 2*m - 504 = 26*m. Let u be ((18/m)/3)/(31/(-217)). Find z such that -z**3 + 0 - z**u - 1/3*z - 1/3*z**4 = 0.
-1, 0
Let u(v) = 2*v**2 + 7*v - 5. Let f(s) be the third derivative of -s**4/24 + s**3/6 + 4*s**2 - 4. Let x(g) = -5*f(g) - u(g). Factor x(a).
-2*a*(a + 1)
Let n(t) = 5*t**2 - 20*t - 5. Let h(v) = v**3 + 6*v**2 - 19*v - 4. Let g = 416 + -412. Let c(r) = g*n(r) - 5*h(r). Factor c(u).
-5*u*(u - 1)*(u + 3)
Let n be ((-4)/14)/(1/(-6)). Let o(d) = -488*d - 32206. Let j be o(-66). Find k such that n*k + 0*k**j + 8/7 - 4/7*k**3 = 0.
-1, 2
Let l(a) be the third derivative of a**6/72 + a**5/12 + 44*a**3/3 - a**2 + 81. Let d(g) be the first derivative of l(g). Factor d(j).
5*j*(j + 2)
What is z in -11*z**2 - 5*z**4 + 1682*z - 3358*z + 19*z**3 + 1673*z = 0?
-1/5, 0, 1, 3
Suppose 2*b + 2 = 12. Suppose -v = -b*v + 500. Factor -110*h - 1888 - v*h**2 + 1923 + 13*h**3 + 7*h**3.
5*(h - 7)*(h + 1)*(4*h - 1)
Let d be 140/196*119/50. Factor -1/10*y**4 - d*y - 7/10*y**3 - 3/5 - 17/10*y**2.
-(y + 1)**2*(y + 2)*(y + 3)/10
Suppose -4*h + 30 = 5*q - 15, 87 = 5*h - 4*q. Let l be 40/(-15)*(-9)/h. Factor -2/5*r**2 - l + 8/5*r.
-2*(r - 2)**2/5
Suppose 12/5*t**3 + 0 + 12/5*t**2 + 0*t - 3/5*t**5 - 3/5*t**4 = 0. What is t?
-2, -1, 0, 2
Find m such that 1/3*m**2 + 8281/3 - 182/3*m = 0.
91
Let h(q) be the first derivative of 3*q**6/10 + 3*q**5 + 13*q**4/2 + 2*q**3 - 15*q**2/2 - 14*q + 49. Let a(c) be the first derivative of h(c). Factor a(x).
3*(x + 1)**2*(x + 5)*(3*x - 1)
Let b(x) be the second derivative of -307*x**5/4 + 1525*x**4/12 + 5*x**3/3 - 695*x. Factor b(r).
-5*r*(r - 1)*(307*r + 2)
Determine c so that 0*c - 26/5*c**4 + 0 + 12/5*c**3 + 2/5*c**5 + 144/5*c**2 = 0.
-2, 0, 3, 12
Determine b so that 79*b**2 + 77*b**2 + 4727871 - 124*b - 4727903 = 0.
-8/39, 1
What is n in 22/3*n**4 + 64/9 + 92/9*n**3 - 16*n + 10/9*n**5 - 88/9*n**2 = 0?
-4, -2, 2/5, 1
Let y(a) be the first derivative of 2*a**3/3 + 10*a**2 + 42*a - 715. Find z, given that y(z) = 0.
-7, -3
Let x = 7972 - 7970. Let k(n) be the second derivative of -9*n + 0 - 5/12*n**4 + 5/6*n**3 + 15*n**x. Find u, given that k(u) = 0.
-2, 3
Let 1/12*a**2 - 280/3*a + 78400/3 = 0. What is a?
560
Let n be (132/(-462))/((-36)/147). Let f(y) be the first derivative of 1/12*y**4 + 0*y + 8/9*y**3 + n*y**2 - 8. Find k such that f(k) = 0.
-7, -1, 0
Let d(m) be the third derivative of -m**7/945 - 7*m**6/270 - 4*m**5/27 + 11175*m**2. Suppose d(x) = 0. Calculate x.
-10, -4, 0
Let t(v) be the first derivative of -3*v**5/20 + 6*v**3 - 24*v**2 - 81*v + 37. Let d(o) be the first derivative of t(o). Factor d(k).
-3*(k - 2)**2*(k + 4)
Factor -37152*n**4 + 35996*n**4 - 48*n**2 - 16*n**2 + 544*n**3.
-4*n**2*(17*n - 4)**2
Let y be 5 + -2 + 4/(-16) + (-20)/(-16). Find t, given that -10/3*t + 8/3*t**2 - 2/3*t**5 + 0 + y*t**3 - 8/3*t**4 = 0.
-5, -1, 0, 1
What is g in 23493795012 + 28170018*g + 3/2*g**3 + 11259*g**2 = 0?
-2502
Let g = 978555/8 + -122316. Suppose 75/8*y**2 + 0 - g*y**3 + 9/4*y = 0. Calculate y.
-2/9, 0, 3
Let f be (2 + 0 - 6) + -170. Let o = -345/2 - f. Solve -o*l**2 - 1/4*l**3 + 0 - 9/4*l = 0 for l.
-3, 0
Suppose 0 = -12*g - 4*g + 64. Let n(t) be the second derivative of 1/6*t**g + 2*t**3 + 0 + 9*t**2 - 18*t. Factor n(c).
2*(c + 3)**2
Find l such that 1491*l**2 + 17*l**3 + 512*l - 1679*l**2 - l**3 + 140 = 0.
-1/4, 5, 7
Solve -2/11*f**3 - 4/11*f**2 + 12/11 + 10/11*f = 0 for f.
-3, -1, 2
Let q(z) be the second derivative of 0*z**2 - 3/20*z**5 + 2 + 0*z**4 + 1/28*z**7 + 13*z + 0*z**3 - 1/20*z**6. Factor q(k).
3*k**3*(k - 2)*(k + 1)/2
Let p = -660215 + 4621625/7. Factor 0 - 6/7*j**3 - p*j - 54/7*j**2.
-6*j*(j + 4)*(j + 5)/7
Solve 392 + 1596*i**2 - 8398*i**3 + 4488*i**3 + 1380*i + 4530*i**3 + 12*i**4 = 0 for i.
-49, -1, -2/3
Let u be 12 + (28/(-1))/7. Let p be 6/208 - u/(-64). Factor -6/13*t + p*t**2 + 4/13.
2*(t - 2)*(t - 1)/13
Factor -363 - q**2 - 8*q**2 + 542*q + 94 + q**2.
-(2*q - 1)*(4*q - 269)
Find j such that 31*j**2 + 42*j**3 + 3*j**5 + 56*j**2 + 27*j + 9*j**4 + 24*j**3 - 15*j**2 + 15*j**4 = 0.
-3, -1, 0
Let p(s) be the third derivative of 0*s + 5 - 2/15*s**5 - 27*s**2 + 2/3*s**3 + 5/12*s**4 - 1/20*s**6. Let p(x) = 0. What is x?
-2, -1/3, 1
Let t be 36/105*(-1425)/(-60). Let 3/7*x**2 - 60/7 - t*x = 0. Calculate x.
-1, 20
Let u(m) be the first derivative of m**8/120 + 26*m**7/525 + m**6/15 - 4*m**5/75 - m**2/2 - 9*m - 38. Let g(z) be the second derivative of u(z). Factor g(l).
2*l**2*(l + 2)**2*(7*l - 2)/5
Let s = -142 - -195. Let h = -50 + s. What is q in -2*q**2 + 3*q + 0 + 1/3*q**h = 0?
0, 3
Factor -188956*d**2 - 3833*d**3 + 242942*d**3 - 11033*d**5 + 1267*d**4 - 6137*d**4 + 37636*d + 11058*d**5.
d*(d - 97)**2*(5*d - 2)**2
Let a be (-30)/2 - (88844/209)/(-28). Factor -12/11 - 8/11*q**2 + a*q**3 - 2*q.
2*(q - 6)*(q + 1)**2/11
Let m = -68 - -116. Determine w, given that 31*w**4 - 13*w**2 + 180 + 65*w**3 - 26*w**4 + m*w**2 - 285*w = 0.
-12, -3, 1
Let w(m) be the first derivative of -5*m**6/6 + 11*m**5 - 35*m**4 - 80*m**3/3 + 320*m**2 - 560*m - 1372. What is k in w(k) = 0?
-2, 2, 7
Let f(j) = -j - 2. Let g be f(-2). Suppose 3*k = 3*q - 108 + 81, -4*k - 28 = 0. Suppose 2/3*o**5 + 2/3*o**3 + 0*o**q - 4/3*o**4 + 0*o + g = 0. What is o?
0, 1
Let z(a) be the second derivative of -25*a**7/252 - 8*a**6/15 - 7*a**5/10 + 2*a**4/9 - 1733*a. Factor z(u).
-u**2*(u + 2)**2*(25*u - 4)/6
Suppose -4933 = -3*v - 3*b - 4960, -4*v = 3*b + 24. Factor -14/3*f**v + 6*f**2 - 36 + 18*f + 2/3*f**4.
2*(f - 3)**3*(f + 2)/3
Suppose 27*z - 108 = 18*z. Let q(f) = -3*f**3 + 43*f**2 - 78*f + 33. Let l(x) = 8*x**3 - 108*x**2 + 196*x - 84. Let u(k) = z*q(k) + 5*l(k). Factor u(a).
4*(a - 3)*(a - 2)*(a - 1)
Factor -940/3*o + 5/3*o**2 + 935/3.
5*(o - 187)*(o - 1)/3
Suppose 5*m - 84 = 2*m + 2*t, 3*t - 129 = -4*m. Let s be (-48)/240 + 526/m. Solve -4/3 - 2/3*z + 14/3*z**5 + 32/3*