34/21*g**n - 10/21*g**4 - 2*g**2 - l + 22/21*g.
-2*(g - 1)**3*(5*g - 2)/21
Solve 2115/7 - 3/7*l**2 + 408/7*l = 0 for l.
-5, 141
Let w(s) be the first derivative of -s**3/2 - 21*s**2/2 + 153*s/2 + 7954. Let w(y) = 0. Calculate y.
-17, 3
Factor -5*h**2 + 0*h**3 + 87*h + 12*h**3 + 12 + 47*h**2 + 54*h**2 + 9.
3*(h + 7)*(2*h + 1)**2
Let y(b) be the third derivative of b**5/60 + 113*b**4/12 - 229*b**3/2 + 79*b**2 + 37*b + 2. Factor y(o).
(o - 3)*(o + 229)
Let r(k) = -9*k**3 + 14*k**2 - 11*k - 10. Let f(g) = 125*g**3 - 195*g**2 + 150*g + 140. Let p(z) = 4*f(z) + 55*r(z). Factor p(b).
5*(b - 2)*(b - 1)*(b + 1)
Let c(y) = -6*y + 54 - 21 + 22 + 41. Let t be c(16). Factor -13/2*x**3 + t - 1/2*x**5 - 3*x**4 - 2*x - 6*x**2.
-x*(x + 1)**2*(x + 2)**2/2
Suppose -n + 4*b = 14, 2*n - 36*b - 16 = -39*b. Determine v so that -120 + 20*v + 47*v**2 + 15*v**3 + 45*v**n - 2*v**2 - 5*v**4 = 0.
-2, 1, 6
Let y(r) be the third derivative of r**5/240 + 119*r**4/24 - 239*r**3/6 + 3*r**2 + 9*r - 33. Factor y(a).
(a - 2)*(a + 478)/4
Factor -1/4*x**3 - 33 + 65/4*x**2 + 17*x.
-(x - 66)*(x - 1)*(x + 2)/4
Let t(x) be the first derivative of -x**4/2 - 23*x**3/15 + 12*x**2/5 + 9*x/5 - 344. Factor t(f).
-(f - 1)*(f + 3)*(10*f + 3)/5
Let y(z) be the first derivative of -z**5 + 41 + z**3 - z**3 - 18. What is x in y(x) = 0?
0
Let v(i) = -4*i**3 - 73*i**2 - 188*i - 38. Let w(a) = 4*a**3 + 145*a**2 + 378*a + 78. Let d(u) = -5*v(u) - 3*w(u). Determine r so that d(r) = 0.
-2, -1/4, 11
Suppose -60*a = -65*a + 210. Let x = 45 - a. Factor 31*z**x - 2*z - 28*z**3 - z.
3*z*(z - 1)*(z + 1)
Suppose 0 = -k + 26*b - 25*b + 18, 3*b + 48 = 0. Factor -2/9*m**5 + 4/9*m**k + 0*m + 8/9*m**4 + 0 - 10/9*m**3.
-2*m**2*(m - 2)*(m - 1)**2/9
Let v = -102 - -173. Suppose v*u - 67*u - 16 = 0. Factor -u*x**4 - 6*x**4 + 0*x**3 - 4*x**2 + 11*x**4 + 3*x**3.
x**2*(x - 1)*(x + 4)
Let l(o) = -22*o**3 - 650*o**2 - 4948*o - 9792. Let z(b) = 3*b**3 + b**2 - 2*b. Let m(h) = -l(h) - 6*z(h). Factor m(n).
4*(n + 4)**2*(n + 153)
Let f(o) be the first derivative of -o**6/10 - 63*o**5/5 - 8721*o**4/20 - 7799*o**3/5 + 612*o**2/5 + 31212*o/5 - 3639. Suppose f(c) = 0. Calculate c.
-51, -2, 1
Suppose 0 = 2*j - 4*a - 2, -8*j - a - 24 = -66. Factor -7/2*f**4 + j*f**3 + f**2 - 11/2*f + 1/2*f**5 + 5/2.
(f - 5)*(f - 1)**3*(f + 1)/2
Let d be ((-6)/(-14) - 314/112) + -3 - -6. Let c(x) be the first derivative of -5/2*x - d*x**2 + 5/12*x**3 - 5. Solve c(j) = 0.
-1, 2
Suppose 146*n + 157651 - 158089 = 0. What is z in -15/4*z**2 + 13/4*z**n + 1/2*z + 0 = 0?
0, 2/13, 1
Suppose -4*r = -9*r + 360. Suppose -r = -5*w + d, -5*d = 9 + 1. What is t in 9 - 3*t**2 - 12*t + 20*t - w*t = 0?
-3, 1
Let a be (6/(-10))/((-537)/1500 + 135/540). Factor -52/9 + a*z + 2/9*z**2.
2*(z - 1)*(z + 26)/9
Let o(s) be the first derivative of -s**5 + 25*s**4 + 365*s**3/3 - 230*s**2 - 736. Find p such that o(p) = 0.
-4, 0, 1, 23
Let r = -26/205 - -1609/11070. Let v(q) be the second derivative of -47*q - 49/9*q**2 - r*q**4 - 14/27*q**3 + 0. Factor v(j).
-2*(j + 7)**2/9
Find t, given that -399*t**3 + 566*t**3 - 5888 - 7392*t**2 - 12*t**4 - 11965*t + 173*t - 1659*t**3 + 8*t**4 = 0.
-368, -2, -1
Let 715 - 22*z**2 - 120*z - 20*z**2 - 6*z**2 + 53*z**2 = 0. What is z?
11, 13
Let l = 853 + -853. Factor 2/9*p**4 + 8/9*p - 2/9*p**2 - 8/9*p**3 + l.
2*p*(p - 4)*(p - 1)*(p + 1)/9
Let p(l) be the first derivative of -2/27*l**3 + 1/36*l**4 - 1/270*l**5 - 3*l**2 + 20 + 0*l. Let q(k) be the second derivative of p(k). What is n in q(n) = 0?
1, 2
Let q = 2800 + -2796. Let b(r) be the third derivative of 0*r + 1/20*r**5 + 12*r**2 - r**q + 8*r**3 + 0. Suppose b(n) = 0. What is n?
4
Let m(b) = -10*b + 355 - 363 + 236*b**2 + 2*b. Let i be m(-2). Factor n**3 + i + 0*n**3 - 950 - 3*n.
(n - 1)**2*(n + 2)
Let n(z) = z**3 - 23*z**2 - z + 25. Let q be n(23). Let -c - 27*c**5 + 17*c**5 - q*c + 7*c**5 + 6*c**3 = 0. What is c?
-1, 0, 1
Let g be (-11 - -17)*(-1008)/(-567). Suppose 58/3*q**3 + 13/3*q**4 + 1/3*q**5 - g*q + 88/3*q**2 - 128/3 = 0. What is q?
-4, -2, 1
Let b(y) be the first derivative of -1/15*y**5 + 3*y - 1/2*y**4 - 22 - 8/9*y**3 + y**2. Factor b(i).
-(i - 1)*(i + 1)*(i + 3)**2/3
Let w(h) = 33*h**3 + 2*h**2 + 12*h + 11. Let x be w(-1). Let j be (-288)/(-128)*x/(-30) + -2. Factor -j*s**4 + 4/5*s**3 + 0 + 0*s**2 + 0*s.
-2*s**3*(s - 2)/5
Let i(g) = -13*g + 61. Let n be i(4). Suppose n = -5*s - 2*b + 5*b, 0 = s - 2*b + 6. Determine o, given that -1/2*o**2 + o + s = 0.
0, 2
Let x(n) = -17*n**2 + 94*n - 494. Let o(k) = -15*k**2 + 95*k - 495. Suppose 2*d + 3*i + 10 = -2*i, 4*d + 3*i + 20 = 0. Let w(v) = d*x(v) + 6*o(v). Factor w(j).
-5*(j - 10)**2
Suppose 4*i = 4*b - 176, 0 = -4*i - 18 + 2. Let r be ((-195)/b - -5)/((-3)/(-270)). Find s such that -5/4*s**5 - 35/4*s**2 - 25/4*s**4 - r*s**3 - 5/2*s + 0 = 0.
-2, -1, 0
Let o(g) = 13*g**2 + 2196*g + 242024. Let x(t) = 2*t**2 - t + 6. Let c(a) = o(a) - 4*x(a). Determine l, given that c(l) = 0.
-220
Let o(q) be the first derivative of -q**6/60 + q**5/6 - q**4/3 + q**2/2 + q + 17. Let i(z) be the second derivative of o(z). Find t such that i(t) = 0.
0, 1, 4
Let z(q) be the third derivative of 7/120*q**6 + 0*q + 0*q**3 + q**2 + 0*q**4 - 1/12*q**5 - 68. Factor z(k).
k**2*(7*k - 5)
Suppose 9*i - 225 + 54 = 0. Suppose -26*p**4 + 10*p**3 + 12*p**4 + i*p**4 - 10*p - 6*p**2 + p**2 = 0. What is p?
-2, -1, 0, 1
Let f be ((-33)/44)/((-3)/(-12)) - -15. Let k be (-19)/((-190)/f)*(-4)/(-2). Factor 8/5*u**2 - 12/5*u + k*u**3 - 8/5.
4*(u - 1)*(u + 1)*(3*u + 2)/5
Let x(f) = f**2 + 10*f + 26. Let s be x(-6). Let w be (-26)/(-11) - s - 0/(-7). Factor 0 + w*o**2 - 2/11*o**3 + 0*o.
-2*o**2*(o - 2)/11
Let x(q) = q**2 - 3*q - 3. Let o(i) = -5*i**2 - 205*i + 225. Let j(m) = 2*o(m) + 6*x(m). Find d such that j(d) = 0.
-108, 1
Let j(k) be the second derivative of -k**6/165 - k**5/22 + 23*k**4/11 + 148*k**3/33 - 280*k**2/11 - 1842*k. Determine t, given that j(t) = 0.
-14, -2, 1, 10
Factor -s**2 - 1/2*s**3 + 35/2*s + 0.
-s*(s - 5)*(s + 7)/2
Let a(o) be the third derivative of o**5/20 - 219*o**4/2 + 95922*o**3 + 1838*o**2. What is n in a(n) = 0?
438
Let r = 203 - 201. Suppose 4*q = 5*j + 23, 7 = q - j - 0*j. Factor -q*c**3 + 14*c + 4*c**r + 6 - 10*c**4 - 2*c**5 + 20*c**4 - 20*c**4.
-2*(c - 1)*(c + 1)**3*(c + 3)
Let y(d) be the second derivative of 7/5*d**5 + 0*d**3 + 0*d**2 - 16/15*d**6 - 258*d - 32/21*d**7 - 1/3*d**4 + 0. Let y(v) = 0. What is v?
-1, 0, 1/4
Factor -11382*x - 2/13*x**3 - 1090/13*x**2 + 11466.
-2*(x - 1)*(x + 273)**2/13
Suppose -3*z = -5*f - 2514, 4*f + 26 = 14. Let q = z + -830. Suppose -16/5 + 52/5*a**2 + 8*a + 14/5*a**q = 0. What is a?
-2, 2/7
Factor 274/3*o - 272/3*o**2 + 0 - 2/3*o**3.
-2*o*(o - 1)*(o + 137)/3
Let o(v) be the second derivative of -19*v**4/33 - 1139*v**3/33 + 30*v**2/11 + 3480*v. Determine y so that o(y) = 0.
-30, 1/38
Let 5/4*y**2 - 333/2*y + 133/4 = 0. Calculate y.
1/5, 133
Suppose 8*n + 16*n + 27*n + 9802 = 80*n. Solve -n - 1/2*b**2 + 26*b = 0.
26
Find n, given that 50*n - 8*n**2 - 830 + 806 + 3*n**3 - 15*n**2 = 0.
2/3, 3, 4
Suppose -8*p + 19 = -21. Let s(a) = -36*a**3 - 56*a**2 - 6*a + 28. Let v(u) = 12*u**3 + 19*u**2 + 2*u - 10. Let d(r) = p*s(r) + 14*v(r). Solve d(w) = 0 for w.
-1, -1/6, 0
Let z be ((-130)/30 + (-2)/3)*(-120)/300. Factor 2/3*c - 4/3 - z*c**3 + 8/3*c**2.
-2*(c - 1)**2*(3*c + 2)/3
Factor 24*q + 3*q**2 - 178*q - 29*q - 186.
3*(q - 62)*(q + 1)
Suppose -9/5*j**3 + 213/5*j**2 - 324/5 - 180*j = 0. What is j?
-1/3, 6, 18
Let d(n) be the first derivative of -3*n**4/2 - 6196*n**3/3 - 6193*n**2/3 - 688*n + 2399. Factor d(x).
-2*(x + 1032)*(3*x + 1)**2/3
Let t(m) be the third derivative of -3*m**7/70 - m**6 - 107*m**5/20 + 45*m**4/4 - 137*m**2 + 1. Factor t(b).
-3*b*(b + 5)*(b + 9)*(3*b - 2)
Factor 0*g + 2/5*g**2 + 0 - 2/5*g**3.
-2*g**2*(g - 1)/5
Let x be 3/9 - (-8)/30. Let a = 14522 + -72607/5. Suppose -6/5*z + 0 + a*z**3 - x*z**2 = 0. Calculate z.
-1, 0, 2
Suppose p = -f + 7, 2*f - 4*p = 188 - 216. Let -126/5*n**2 + 8*n**3 + f + 44/5*n = 0. Calculate n.
0, 2/5, 11/4
Suppose -4*l + 550 = -2*z, 3*z + 4*l - 1084 = 7*z. Let f = 267 + z. Suppose f + 0*o**3 + 1/5*o**4 + 0*o - 1/5*o**2 = 0. Calculate o.
-1, 0, 1
Let c be 27/6*40/4. Suppose -7*d = -2*d - c. Factor 72*a**3 + 25 - 36*a**3 - d*a**2 - 35*a**3 + 15*a.
(a - 5)**2*(a + 1)
Let d(m