+ 10/7*o**3 + 72/7 = 0 for o.
-3, 1, 3, 4
Let w(q) be the first derivative of 6/5*q**5 - 4 - 111/20*q**4 + 12*q**3 - 1/10*q**6 - 54/5*q**2 + 0*q. Factor w(o).
-3*o*(o - 3)**2*(o - 2)**2/5
Suppose -3*q + 5*o + 30 = -111, 5*o - 195 = -5*q. Suppose -q*g + 33*g = -36. Suppose -156/7*m**2 - 80/7*m**3 - 120/7*m - 12/7*m**g - 32/7 = 0. Calculate m.
-4, -1, -2/3
Let 1/5*k**5 - 2/5*k**2 + 0*k**3 - 1/5*k + 0 + 2/5*k**4 = 0. What is k?
-1, 0, 1
Let z be 2/13 - (-4)/(104/1478). Factor 21*k - z*k + 3*k**2 + 0*k**2 + k**2.
4*k*(k - 9)
Let k = 489/29260 + -1/140. Let m = k - -1244/1045. Suppose -m*v**3 + 4/5 + 4*v**2 - 18/5*v = 0. Calculate v.
1/3, 1, 2
Let x(c) = -148*c**3 + 350*c**2 - 176*c + 10. Let u(m) = -302*m**3 + 699*m**2 - 352*m + 18. Let y(r) = 4*u(r) - 7*x(r). Suppose y(p) = 0. What is p?
1/86, 1
Solve 376/7*g**2 + 4/7*g**5 - 384/7*g**3 + 380/7*g - 376/7*g**4 + 0 = 0.
-1, 0, 1, 95
Factor -17*s**3 - 3*s - 7*s**4 - 3*s + 12*s**2 - 23*s**2 - 6*s**2 - s**5 + 0*s.
-s*(s + 1)**2*(s + 2)*(s + 3)
Let w(n) be the third derivative of 7*n**6/540 - 293*n**5/135 - 1193*n**4/108 - 200*n**3/9 + 10*n**2 - 12*n - 2. Factor w(o).
2*(o + 1)**2*(7*o - 600)/9
Let t(l) be the first derivative of -2*l**5/75 - 25*l**4/3 - 496*l**3/45 + 50*l**2/3 + 166*l/5 - 277. Let t(s) = 0. What is s?
-249, -1, 1
Let w(n) be the second derivative of 0*n**4 + 0*n**2 - 1/56*n**7 + 0*n**3 - 29*n + 7/40*n**6 - 9/40*n**5 + 2. Suppose w(y) = 0. What is y?
0, 1, 6
Let y(p) = 2*p**2 - 1456*p + 264994. Let q(f) = -1. Let h(a) = -2*q(a) - y(a). Determine i, given that h(i) = 0.
364
Let h(o) = 7*o**5 + 60*o**4 - 2*o**3 - 2*o - 14. Let m(n) = -50*n**5 - 420*n**4 + 15*n**3 + 15*n + 105. Let k(p) = 15*h(p) + 2*m(p). Factor k(a).
5*a**4*(a + 12)
Suppose -v - 133*d = -132*d - 7, -3*d = -2*v - 21. Factor 3/2*w**2 + v + 21/2*w.
3*w*(w + 7)/2
Solve 27*m**2 - 1157*m**3 + 25*m**2 + 524*m + 2303*m**3 - 1158*m**3 - 180 = 0 for m.
-5, 1/3, 9
Let z be ((-2)/(-18))/((-1331)/(-99) - 13). Let l(n) be the second derivative of 5/2*n**3 + 0 + 5/3*n**4 - 8*n + z*n**5 + 0*n**2. Factor l(b).
5*b*(b + 1)*(b + 3)
Let v(j) be the third derivative of -4*j**6/135 + 52*j**5/15 + 157*j**4/36 + 59*j**3/27 + 528*j**2 + j. What is p in v(p) = 0?
-1/4, 59
Let z(l) be the first derivative of 3*l**5/25 - 13*l**4/20 + 19*l**3/15 - 11*l**2/10 + 2*l/5 - 99. Let z(g) = 0. Calculate g.
1/3, 1, 2
Suppose 4*x - 15 = -x. Suppose 6*o - 12 = x*o. Factor 10*y - 2 + 2*y**4 - 2*y**3 + 2 - o - 6*y**2.
2*(y - 1)**3*(y + 2)
What is o in -287*o + 393*o**2 + 30*o**3 - 73*o - 321*o + 144 - 79*o**3 + 433*o**2 = 0?
3/7, 16
Let q(m) be the third derivative of 4*m**7/1995 + m**6/76 - 122*m**5/285 - 91*m**4/19 + 96*m**3/19 + 16*m**2 + 182*m. Solve q(s) = 0.
-6, 1/4, 8
Let o(j) be the first derivative of j**3/9 + 967*j**2/6 + 991. Let o(l) = 0. Calculate l.
-967, 0
Let u(x) be the second derivative of x**7/18900 + x**6/1800 - x**5/90 + x**4/6 - 5*x**3 - 2*x + 15. Let v(d) be the third derivative of u(d). Factor v(c).
2*(c - 2)*(c + 5)/15
Let f be (3 - 2) + -176 + 177. Let u(v) be the third derivative of -22*v**f + 0*v + 11/20*v**6 + 37/30*v**5 + 0 + 3/35*v**7 + 2/3*v**3 + 5/4*v**4. Factor u(o).
2*(o + 1)*(o + 2)*(3*o + 1)**2
Let f(g) = -10*g**3 - 92*g**2 + 47*g + 40. Let r(h) = h**3 + 4*h**2 - 2. Let l(c) = -4*f(c) - 20*r(c). Solve l(u) = 0 for u.
-15, -2/5, 1
Solve 172/3*x**2 + 16*x**3 + 2/3*x**5 - 56/3*x**4 + 36 - 274/3*x = 0 for x.
-2, 1, 27
Let p(x) be the third derivative of -x - 49*x**2 + 5/36*x**4 + 0*x**3 + 0 + 7/180*x**5 + 1/360*x**6. Factor p(f).
f*(f + 2)*(f + 5)/3
Let f(c) be the third derivative of 4/3*c**3 + 0 + 2/9*c**4 + 0*c + 1/90*c**5 - 262*c**2. Factor f(v).
2*(v + 2)*(v + 6)/3
Suppose -3*y + 6 = 0, 3*p - 5 = -3*y + 13. Factor -444*k**2 - 18*k + 833*k**2 - 3*k**p - 18*k**3 - 422*k**2.
-3*k*(k + 1)*(k + 2)*(k + 3)
Suppose -2*i + 2 = 0, -5*h + 12 = -0*i - 3*i. Suppose -k = -5*m + 26, 0 = -5*k - 8 + h. Suppose m*a**2 + 15*a + 11*a**2 - 11*a**2 = 0. What is a?
-3, 0
Let t(a) = -89 + 118*a - 28 - 3*a**2 - 3 - 10*a**2. Let s(u) = 10*u**2 - 118*u + 120. Let k(c) = -5*s(c) - 4*t(c). Determine o, given that k(o) = 0.
-60, 1
Let z(l) be the second derivative of -l**6/150 + 17*l**5/100 - 61*l**4/60 - 39*l**3/10 + 81*l**2/5 - 1093*l. Factor z(b).
-(b - 9)**2*(b - 1)*(b + 2)/5
Let c be (-38)/(-30) - 19/(-380)*-12. Suppose -5*g = 1 + 4, 10 = 2*x - 2*g. Factor 1/3*r**x - 4/3*r**3 - 1 + 4/3*r + c*r**2.
(r - 3)*(r - 1)**2*(r + 1)/3
Let v(g) = g**3 + 112*g**2 - 849*g + 1662. Let z(a) = 2*a**3 - a - 2. Let f(c) = 5*v(c) - 5*z(c). Factor f(t).
-5*(t - 104)*(t - 4)**2
Let q(z) be the first derivative of -180/11*z**3 + 24/11*z**4 - 1134/11*z + 122 + 648/11*z**2 - 6/55*z**5. Factor q(d).
-6*(d - 7)*(d - 3)**3/11
Suppose -4*u + 3*x + 55 = 1377, 321 = -u - 4*x. Let l = u + 1651/5. Suppose 0 - 2/5*w**2 - l*w = 0. What is w?
-3, 0
Let l(b) = 25*b + 57. Let c be l(0). What is x in 6*x + 86*x - 5*x**2 + 33 + c - 7*x = 0?
-1, 18
Determine b, given that -10/3*b**2 - 8*b + 0 + 4/9*b**3 + 2/9*b**4 = 0.
-3, 0, 4
Let c(f) be the first derivative of 4*f**4 + 8*f**3 + 2/3*f**6 + 0*f - 10*f**2 + 94 - 24/5*f**5. Factor c(r).
4*r*(r - 5)*(r - 1)**2*(r + 1)
Let j be (-9)/(9/(-2))*(6 + -4). Let i be (j/60)/(((-98)/(-21))/14). Factor 1/5*v + 0 + i*v**3 - 2/5*v**2.
v*(v - 1)**2/5
Let y(t) be the first derivative of t**6/120 - t**5/40 + 2*t**3/3 - 11*t - 62. Let o(b) be the third derivative of y(b). Factor o(c).
3*c*(c - 1)
Let v = -919452 + 919452. Factor -38/21*a**3 - 12/7*a**2 - 2/21*a**4 + v + 0*a.
-2*a**2*(a + 1)*(a + 18)/21
Let i(x) be the first derivative of -80 - 5/6*x**3 - 7/8*x**4 + 3*x - 1/10*x**5 + 7/4*x**2. Find p, given that i(p) = 0.
-6, -1, 1
Let o(i) = -27*i - 241. Let g be o(-9). Factor 125*c**g - 3*c**3 + 66*c - 2*c**3 + 126 + 3*c**3 - 123*c**2.
-2*(c - 7)*(c + 3)**2
Let c = -882/151 - -344033/604. Let y = 564 - c. Solve y*k**3 + 3/4*k**2 + 1/4 + 3/4*k = 0 for k.
-1
Let p(n) = -4*n**4 - 70*n**3 - 342*n**2 + 6*n + 42. Let r(u) = 5*u**4 + 69*u**3 + 343*u**2 - 7*u - 49. Let m(t) = -7*p(t) - 6*r(t). Let m(f) = 0. What is f?
-4, 0, 42
Let x = -122 + 138. Suppose -x*c + 7*c + 4*c + 5 - c**2 - 17 + 12*c = 0. Calculate c.
3, 4
Let r(f) = -511*f**4 + 5*f**2 - 4*f**3 + 5*f + 3*f**3 - 5 + 505*f**4. Let o(l) = 8 - l - l**2 - 13 + l**4 + 6. Let u(p) = 5*o(p) + r(p). Factor u(c).
-c**3*(c + 1)
Solve 0 + 13/3*b**4 + 10/3*b - 13/3*b**2 - 13/3*b**3 + b**5 = 0.
-5, -1, 0, 2/3, 1
Let u(n) be the second derivative of -n**7/168 - 53*n**6/60 - 4321*n**5/80 - 20965*n**4/12 - 95942*n**3/3 - 332024*n**2 + 4212*n. Let u(x) = 0. Calculate x.
-28, -11
Let c(r) be the second derivative of -r**6/90 + 4*r**5/5 + 25*r**4/6 + 137*r**3/6 - 36*r + 1. Let p(o) be the second derivative of c(o). Factor p(y).
-4*(y - 25)*(y + 1)
Let z(d) be the second derivative of -d**6/2520 + d**5/210 - d**4/56 - 24*d**3 + 39*d. Let n(m) be the second derivative of z(m). Factor n(k).
-(k - 3)*(k - 1)/7
Suppose -5 = x + 4*v, 5997*v = 3*x + 6002*v + 1. Find i, given that 300 + 1/3*i**4 - 59/3*i**2 + 2/3*i**x - 20*i = 0.
-6, 5
Let n = -9289/6 - -9293/6. Let b(v) be the third derivative of 1/60*v**6 + 0*v + 0 - 1/12*v**4 + 1/15*v**5 + 3*v**2 - n*v**3. Let b(u) = 0. Calculate u.
-2, -1, 1
Let s(b) be the first derivative of -b**4 + 20*b**3 - 96*b**2 + 176*b - 8787. Determine x so that s(x) = 0.
2, 11
Let z be ((26 - 3) + -20)/((-6)/(-4)). Let r(i) be the first derivative of 9*i**2 + 1 + 27/2*i**3 + z*i. Determine u so that r(u) = 0.
-2/9
Suppose 5*c + 3*n - 905 + 882 = 0, 0 = 5*n - 5. Let v(x) be the first derivative of 1/3*x - 1/12*x**2 - 1/18*x**3 - c. Find r, given that v(r) = 0.
-2, 1
Factor -2/13*b**2 + 2620/13*b - 2618/13.
-2*(b - 1309)*(b - 1)/13
Suppose -11*x - 81 = -477. Let w = 25 - x. Let n(z) = -7*z**3 - 10*z**2 - z - 6. Let g(p) = 13*p**3 + 19*p**2 + p + 11. Let v(m) = w*n(m) - 6*g(m). Factor v(q).
-q*(q - 1)*(q + 5)
Factor -3864*w**2 + 484*w + 11568*w + 4*w**4 - 1076*w + 5546 + 256*w**3 + 9546.
4*(w - 7)**2*(w + 1)*(w + 77)
Suppose 3*d + 15 = -d + 27. Let r(y) be the first derivative of -4/3*y**d - 12*y + 31 + y**4 - 10*y**2. Find f, given that r(f) = 0.
-1, 3
Factor -55/6*g - 29/2 - 1/6*g**3 + 31/6*g**2.
-(g - 29)*(g - 3)*(g + 1)/6
Let b(p) be the third derivative of 1/24*p**5 + 10*p**2 - 1/72*p**6 + 