**3 + 0*m + 8/15*m**4 = 0. Calculate m.
0, 1, 2
Let g(v) = 3*v**3 + 20*v**2 + 14*v - 1. Let s be g(-1). Factor 4/5*r**s + 12/5*r + 8/5.
4*(r + 1)*(r + 2)/5
Let w(q) be the second derivative of 3*q**5/5 - 53*q**4/4 - 2027*q**3/2 + 765*q**2 + 2*q - 1680. Factor w(y).
3*(y - 30)*(y + 17)*(4*y - 1)
Factor -4*v - 77*v - 335*v**2 + 617*v**2 - 158 - 283*v**2.
-(v + 2)*(v + 79)
Let h(z) = -7*z**3 + 1155*z**2 - 81783*z - 168200. Let x(t) = -76*t**3 + 12704*t**2 - 899612*t - 1850200. Let q(m) = 32*h(m) - 3*x(m). Solve q(l) = 0.
-2, 145
Let f(s) be the second derivative of -1/14*s**4 + 1/14*s**5 + 0*s**2 - 17*s + 0 - 3/280*s**6 + 5/3*s**3. Let c(g) be the second derivative of f(g). Factor c(n).
-3*(n - 2)*(9*n - 2)/7
Let l(d) = -d**2 - 1709*d - 5133. Let q(t) = -244*t - 734. Let w(o) = 2*l(o) - 15*q(o). Factor w(u).
-2*(u - 124)*(u + 3)
Suppose -x = 32*x - 99. Suppose 0 = 7*o - 11*o + 8, -x*j + 10 = -o. Factor 0*s + 3*s**3 + 0 - 9/5*s**2 + 1/5*s**5 - 7/5*s**j.
s**2*(s - 3)**2*(s - 1)/5
Suppose 0 = -14036*d + 14034*d + 10. Let o(n) be the third derivative of 0*n - 2/45*n**3 + 1/60*n**4 - 1/450*n**d + 0 - 15*n**2. Suppose o(w) = 0. What is w?
1, 2
Suppose -3*x + 6 = r, 7*r - 10*r = -x - 8. Let a(p) be the third derivative of -1/8*p**4 + 0*p + 16*p**2 + 1/240*p**5 + 3/2*p**r + 0. Solve a(m) = 0.
6
Let v(m) be the second derivative of m**6/72 - 5*m**5/6 - 35*m**4/8 - 2*m**3 - 2*m**2 - 103*m. Let i(d) be the second derivative of v(d). Factor i(n).
5*(n - 21)*(n + 1)
Let f(k) be the third derivative of k**8/672 + k**7/105 + k**6/80 - k**5/30 - k**4/12 - 747*k**2. Solve f(n) = 0 for n.
-2, -1, 0, 1
Let o(p) be the second derivative of 2/7*p**3 - 2*p + 1/42*p**4 - p**2 + 67. Factor o(x).
2*(x - 1)*(x + 7)/7
Let c be (-20)/(-190) - (-12753)/(-38). Let x = -335 - c. Determine j so that -j**2 - x*j**5 - 5/2*j**3 + 0*j - 2*j**4 + 0 = 0.
-2, -1, 0
Let z be 15*((-40)/(-6))/20 + (-1 - 1). Let d(v) be the first derivative of -21 - 1/5*v**2 - 8/15*v**z + 6/5*v. Suppose d(c) = 0. What is c?
-1, 3/4
Let l be ((-405)/18)/9*-2*1/1. Let s(m) be the first derivative of 1/4*m**4 - 1/2*m**2 - 15 + 1/5*m**l - m**3 + 2*m. Let s(y) = 0. What is y?
-2, -1, 1
Let k = 822 - 474. Let c = 350 - k. Factor 8/11*i - 2/11*i**c + 0.
-2*i*(i - 4)/11
Let n(u) be the first derivative of 2/9*u**3 - 1/18*u**4 + 10/9*u**2 + 59 + 0*u. Factor n(o).
-2*o*(o - 5)*(o + 2)/9
Let z(a) be the second derivative of -2*a**6/45 + 596*a**5/5 - 795652*a**4/9 - 2136064*a**3/3 - 6422528*a**2/3 + a - 8737. Factor z(g).
-4*(g - 896)**2*(g + 2)**2/3
Let c(i) be the third derivative of i**6/200 + 463*i**5/300 - 313*i**4/30 + 314*i**3/15 + 5*i**2 - 111*i. Find u such that c(u) = 0.
-157, 2/3, 2
Suppose -5*q + 2*q = -4*z - 28, 5*q - 5*z - 40 = 0. Factor -44*v + q - 27*v**2 - 3*v**3 - 14 - v - 11.
-3*(v + 1)**2*(v + 7)
Let y(v) = 12*v**2 + 34152*v - 72829076. Let t(z) = 14*z**2 + 34154*z - 72829066. Let a(w) = 8*t(w) - 9*y(w). Factor a(c).
4*(c - 4267)**2
Let r(u) be the second derivative of -51/14*u**2 - 5 - 1/28*u**4 + 2*u + 9/7*u**3. What is z in r(z) = 0?
1, 17
Solve 4704*p + 9296*p**2 + 13442/3*p**3 + 0 - 332/3*p**4 + 2/3*p**5 = 0 for p.
-1, 0, 84
Let x(l) be the third derivative of -l**5/20 - 10*l**4 - 79*l**3/2 + 15*l**2 - 40*l. Let x(z) = 0. Calculate z.
-79, -1
Let o(q) be the second derivative of -q**7/105 + 56*q**6/75 + 36*q**5/5 + 368*q**4/15 + 496*q**3/15 - 3221*q. Factor o(l).
-2*l*(l - 62)*(l + 2)**3/5
Let i(s) = 20*s**2 + 186*s - 56. Let u(j) = 2*j**2 - 2*j. Suppose -9*z + 14*z = -15. Let h(o) = z*u(o) + i(o). Factor h(r).
2*(r + 14)*(7*r - 2)
Solve 42 + 207/2*f - 15/4*f**2 = 0.
-2/5, 28
Let c = 50363 + -453265/9. What is z in 10/3*z**3 - c*z**5 + 4/3*z + 0 - 2/3*z**4 - 34/9*z**2 = 0?
-6, 0, 1
Let f(o) = -5*o - 10. Let p = 59 - 62. Let s be f(p). Suppose 453*t**2 + 142*t**s + 64*t + 1248*t**3 + 59*t**2 + 54*t**5 + 896*t**4 = 0. Calculate t.
-2, -2/7, 0
Let s(b) be the second derivative of 3*b**6/10 + 59*b**5/20 - 76*b**4/9 + 34*b**3/9 + 16*b**2/3 - 3*b - 39. Find g, given that s(g) = 0.
-8, -2/9, 2/3, 1
Let s(p) be the third derivative of -p**6/72 - 191*p**5/9 + 5*p**4/72 + 1910*p**3/9 + 2*p**2 + 817*p - 2. Solve s(k) = 0 for k.
-764, -1, 1
Let u(s) be the first derivative of s**5/20 - 5*s**4/8 + 5*s**2/2 - 29. Let j(c) be the second derivative of u(c). Factor j(k).
3*k*(k - 5)
Suppose -16 = 4*q + 4. Let w be (q/15)/(-3 + 2). Determine f so that -1/3*f - 2/3 + w*f**2 = 0.
-1, 2
Suppose 1/2*f**3 - 203 - 159/2*f + 12*f**2 = 0. Calculate f.
-29, -2, 7
Let t(d) be the first derivative of 0*d**2 + 1/6*d**4 - 1 - 2/15*d**3 + 2*d. Let p(r) be the first derivative of t(r). Find f, given that p(f) = 0.
0, 2/5
Suppose 123*n = -5959 + 6328. Factor -28/3*p**2 - 2/3*p**n - 32/3 + 62/3*p.
-2*(p - 1)**2*(p + 16)/3
Let l be -1 - (-6)/(12/10). What is z in -20*z**3 + 3*z**5 + 2*z**3 + 9 - 36*z**4 + 33*z**l + 15*z - 6*z**2 = 0?
-1, 1, 3
Let f(p) = 52*p**2 - 781*p - 2370. Let r(i) = 5*i**2 - 78*i - 237. Let w(d) = -2*f(d) + 21*r(d). Factor w(a).
(a - 79)*(a + 3)
Find x such that 144/5*x + 58/5*x**2 - 4536/5 + 2/5*x**3 = 0.
-18, 7
Let b be 27/(-15) - 3363/(-885). Factor 2/3*o**b + 512/3 + 64/3*o.
2*(o + 16)**2/3
Let -2/11*z**5 + 0 + 235000/11*z**2 + 250000/11*z + 298/11*z**4 - 14700/11*z**3 = 0. What is z?
-1, 0, 50
Let k(o) = -o**3 - 5*o**2 + 6*o + 4. Let f be k(-6). Let b be (2*3/(-7))/(2095/(-11732)). Find h, given that -8/5*h**3 + b*h - 2/5*h**f - 18/5 + 4/5*h**2 = 0.
-3, 1
Let o be (-10 + -2)/(6/(-20)). Suppose -22*t**2 + 58*t**2 + o*t**3 - 6 + 8*t + 12*t**4 + 6 = 0. What is t?
-2, -1, -1/3, 0
Let w be ((-423)/(-54) - 8) + 838/(-12). Let t be 16/(-90) + w/(-175). Factor 2/9*g**3 - 2/9 + 2/9*g**2 - t*g.
2*(g - 1)*(g + 1)**2/9
Let v(t) be the third derivative of t**5/240 + 143*t**4/48 + 95*t**3/8 + 3*t**2 - 63*t + 1. Solve v(l) = 0.
-285, -1
Find b, given that -38135*b + 19076*b + b**2 + 19156*b = 0.
-97, 0
Let x(o) be the third derivative of o**5/240 - 7*o**4/96 - 5*o**3 + 1203*o**2. Determine i, given that x(i) = 0.
-8, 15
Let q(b) = -b**2 + 4*b - 5. Let k be q(3). Let u(p) = -30*p - 11. Let m be u(k). Let -3*g**2 + 20*g + m + 0*g**2 + 5*g**2 + 1 = 0. Calculate g.
-5
Find m such that -700*m - 1/5*m**2 - 612500 = 0.
-1750
Let u be 23/(805/10) - (-3 - (-36)/(-21)). Let y(i) be the second derivative of 5/84*i**4 - 35*i + 0 + 1/140*i**u - 9/14*i**2 + 1/14*i**3. Solve y(g) = 0 for g.
-3, 1
Let d(b) = -7*b**3 - 19*b**2 - 21*b + 32. Let y be (-1 + -2)/(41 - 40). Let n(z) = 4*z**3 + 10*z**2 + 11*z - 16. Let x(o) = y*d(o) - 5*n(o). Factor x(p).
(p - 1)*(p + 4)**2
Let s = 47 - 77. Let d = 35 + s. Factor -11*n - 5*n**3 - d*n**2 + 5 + 10*n**3 - 11*n + 17*n.
5*(n - 1)**2*(n + 1)
Suppose 21*a + 142 = 61*a + 31*a. Let x(o) be the first derivative of 1/18*o**6 + 1/3*o**a + 0*o - 1/15*o**5 - 1/4*o**4 + 1/9*o**3 - 16. Factor x(i).
i*(i - 2)*(i - 1)*(i + 1)**2/3
Suppose 9*o = 944 - 917. Let b(p) be the first derivative of 2*p - 12 + p**2 + 1/6*p**o. Factor b(l).
(l + 2)**2/2
Let j = -1468 + 1487. Suppose -x + 4 + j = 4*k, 4*x = 5*k - 13. Factor 10/19*z**x - 26/19*z**2 + 14/19*z + 2/19*z**4 + 0.
2*z*(z - 1)**2*(z + 7)/19
Let f = 105 + -69. Let o = 176 - 90. Factor i**2 - 37*i - 27*i + 49 - f*i + o*i.
(i - 7)**2
Factor 425104/5 + 4/5*y**2 + 2608/5*y.
4*(y + 326)**2/5
Suppose 2*o = 0, -o = 22*c - 19*c + 1149. Let h = c + 6513/17. Determine m so that 0 - h*m**4 - 2/17*m**5 + 4/17*m + 10/17*m**2 + 6/17*m**3 = 0.
-1, 0, 2
Let b(n) be the second derivative of -n**5/4 - 22915*n**4/12 - 26266315*n**3/6 - 26243405*n**2/2 - 539*n + 8. Find y such that b(y) = 0.
-2291, -1
Let c(n) be the second derivative of 1/70*n**5 + 0*n**2 - 8*n + 2/21*n**3 + 0 + 1/14*n**4. Factor c(j).
2*j*(j + 1)*(j + 2)/7
Factor -222 + 0*c**2 - c**2 + 1063517*c - 1063630*c.
-(c + 2)*(c + 111)
Let o(y) be the first derivative of 3*y - 19/12*y**2 + 1/18*y**3 + 76. Find z, given that o(z) = 0.
1, 18
Let q = 8425/357 + -753/34. Let x = q - 20/21. Solve 0 - x*t**3 + t - 1/2*t**2 = 0 for t.
-2, 0, 1
Suppose 278 = 14428*m - 14289*m. Find l, given that 0 - 9/5*l + 9/5*l**3 + 3/5*l**4 - 3/5*l**m = 0.
-3, -1, 0, 1
Suppose -153/5*n**4 + 126 + 6/5*n**5 + 711/5*n**2 + 537/5*n**3 - 1731/5*n = 0. Calculate n.
-2, 1/2, 1, 5, 21
Let u(n) be the second derivative of 3*n**5/20 + 5*n**4/2 -