*l**2/3 + 2020. Factor t(i).
2*i*(i - 5)*(i + 28)/15
Let x(y) be the second derivative of -2*y**2 + 15 - 4/3*y**3 + 4*y - 1/3*y**4. Suppose x(n) = 0. Calculate n.
-1
Let y = -129 - -134. Let -4*s**4 + 0*s - 51*s**3 + 27*s**5 - 12 - y*s**4 + 21*s**2 + 24*s = 0. What is s?
-1, 2/3, 1
Let m(k) be the second derivative of -k**4/12 - k**3/3 - 38*k + 2. Let n(t) = t**2 + t. Let u(f) = -3*m(f) - 4*n(f). Factor u(i).
-i*(i - 2)
Let -2/13*h**2 - 278/13*h - 548/13 = 0. Calculate h.
-137, -2
Factor 2/17*g**3 + 616/17*g - 24 - 210/17*g**2.
2*(g - 102)*(g - 2)*(g - 1)/17
Let w(z) be the second derivative of -11*z + 3/20*z**5 + 2/15*z**6 - 1/3*z**4 + 1 - 2/3*z**3 + 0*z**2 + 1/42*z**7. Factor w(s).
s*(s - 1)*(s + 1)*(s + 2)**2
Let y(z) be the second derivative of -z**7/315 + 34*z**6/225 + 31*z**5/30 - 52*z**4/45 - 388*z**3/45 + 304*z**2/15 - 5122*z. Suppose y(r) = 0. Calculate r.
-4, -2, 1, 38
Let s be -3 + -2*(-4)/((-784)/(-854)). Let -2/7*h**2 - 200/7 + s*h = 0. Calculate h.
10
Factor 672 - 2960*v - 26/7*v**3 + 1462/7*v**2.
-2*(v - 28)**2*(13*v - 3)/7
Factor t**2 + 84*t**2 - t**2 - 537*t - 81*t**2.
3*t*(t - 179)
Let x(h) be the third derivative of -h**8/896 + h**7/140 - h**5/10 + h**4/4 - 217*h**2 - 1. Determine c, given that x(c) = 0.
-2, 0, 2
Suppose -82 = -5*s + 4*o - 0*o, -3*s + 50 = -2*o. Suppose -14*l = -s*l + 8. Find h, given that 4*h**2 - 4*h**l - 10*h**3 - 1021*h**4 + 1026*h**4 = 0.
0, 2
Let t(h) be the third derivative of -7*h**5/90 + 10*h**4/9 + 4*h**3/3 + 4309*h**2. Factor t(s).
-2*(s - 6)*(7*s + 2)/3
Determine m, given that -131/2*m**4 - 127*m + 95/2*m**2 + 495/4*m**3 + 13/4*m**5 + 18 = 0.
-1, 2/13, 1, 2, 18
Solve -7302/7*k**2 - 4539/7*k**3 + 32856/7 + 18204/7*k - 3/7*k**5 - 228/7*k**4 = 0.
-37, -2, 2
Suppose -5*b + 2 = -w - 7, -5*b - 2*w = -12. Suppose -q + 2*q + 15 = 5*f, -20 = -3*q + b*f. Factor -q*j + 5*j + 4*j**2 + 4 - 3*j.
4*(j - 1)**2
Suppose i + 4 = 4*l - 4*i, -2*i = l + 12. Let u be (-19)/l + 12/(-16). Determine m, given that 22*m**2 + 3 - u + 4*m**3 + 26*m + 9 = 0.
-4, -1, -1/2
Let o(n) be the first derivative of -n**6/30 + n**5/10 + 2*n**4/3 - 3*n**3 + 9*n**2/2 - 53*n + 100. Let i(q) be the first derivative of o(q). Factor i(a).
-(a - 3)*(a - 1)**2*(a + 3)
Let m(r) be the second derivative of r**4/3 - 2*r**3 + 15*r**2/2 + 32*r - 1. Let b(n) = -2*n**2 + 7*n - 7. Let x(k) = 15*b(k) + 6*m(k). What is g in x(g) = 0?
1/2, 5
Let a be (-24)/(-21)*63/18 + 320/(-200). What is t in -a*t + 2*t**3 + 26/5*t**2 + 0 = 0?
-3, 0, 2/5
Let l = -134782/9 - -14976. Let r = -70 + 73. Determine j, given that -4/9 + l*j - 2/9*j**r + 4/9*j**2 = 0.
-1, 1, 2
Suppose -2*p = -11 + 5. Suppose t + t - 4 = -c, 0 = p*c - 4*t - 12. Suppose 0*y + c*y**2 - 10*y + 2*y - 20*y = 0. What is y?
0, 7
Let o(v) be the second derivative of 16*v**5/45 - 68*v**4/9 - 23*v**3/6 - 13*v**2/18 - 379*v. Factor o(u).
(u - 13)*(8*u + 1)**2/9
Suppose -72*m - 290 = -562 + 272. Factor 1/4*x**3 + m + 5/4*x**2 + x.
x*(x + 1)*(x + 4)/4
Factor -17/4*i - 33/2 + 5/2*i**2 + 1/4*i**3.
(i - 3)*(i + 2)*(i + 11)/4
Let a(h) be the third derivative of 1/90*h**6 + 0 - 14*h**2 + 4*h**3 + 0*h - 1/30*h**5 + 0*h**4. Let k(j) be the first derivative of a(j). Factor k(y).
4*y*(y - 1)
Let h(g) be the third derivative of 0 - 7*g**2 + 1/60*g**6 + 5/12*g**4 + 2/3*g**3 + 0*g + 2/15*g**5. Factor h(f).
2*(f + 1)**2*(f + 2)
Suppose -64*b + 52013 = 10*b + 52013. Find l such that 26/7*l**3 + b + 2/7*l**5 + 24/7*l**2 + 12/7*l**4 + 8/7*l = 0.
-2, -1, 0
Let n(l) = -7*l**2 - 1540*l - 1573. Let s(a) = 5*a**2 + 1025*a + 1045. Let p(k) = 5*n(k) + 8*s(k). Factor p(b).
5*(b + 1)*(b + 99)
Let m(s) = 6*s**2 - 20*s - 10. Let f be (8/(-10))/((-8)/(-85 + 5)). Let r(a) = -a**2 + a - 1. Let u(b) = f*r(b) - m(b). Let u(l) = 0. What is l?
-3
Let n(q) be the second derivative of -31*q + 3/4*q**5 - 3/2*q**6 + 10/3*q**4 + 0*q**2 + 0 - 10/3*q**3. What is t in n(t) = 0?
-1, 0, 2/3
Let v(i) = -43*i + 173. Let l be v(4). Let c(z) be the first derivative of 1/10*z**4 + 0*z + 9/5*z**2 - 4/5*z**3 + l. Factor c(m).
2*m*(m - 3)**2/5
Let j(z) = z**3 - 2*z**2 + 10*z. Let w(o) = -4*o**3 + 48*o**2 - 15*o - 74. Let b(y) = -20*j(y) - 4*w(y). Determine i, given that b(i) = 0.
-37, -2, 1
Let q(f) be the first derivative of -15/4*f**4 - 164 + 3*f**2 + 5/6*f**6 - 1/3*f**3 - 3/5*f**5 + 0*f. Factor q(s).
s*(s - 2)*(s + 1)**2*(5*s - 3)
Let p(j) be the second derivative of 14*j**6/15 - 13*j**5 + 41*j**4 - 158*j**3/3 + 28*j**2 - 3282*j. Solve p(c) = 0 for c.
2/7, 1, 7
Let l = 262 - 236. Let g be ((3 - 0) + 1)/2. Let 48*q**g - 3*q**3 - l*q**2 - q - q**4 - 25*q**2 = 0. What is q?
-1, 0
Let j(b) = -2*b**2 + 92*b - 1356. Let h(v) = 2*v**2 - 90*v + 1356. Let f(m) = -6*h(m) - 7*j(m). Let r(s) = 1. Let k(y) = f(y) - 4*r(y). Solve k(u) = 0.
26
Factor -25/2*x**3 - 414 - 5195/2*x**2 - 2072*x.
-(x + 207)*(5*x + 2)**2/2
Let g(i) be the second derivative of i**4/36 + 61*i**3/18 + 788*i. Factor g(j).
j*(j + 61)/3
Suppose 2/3*l**2 + 1/3*l**5 + 0*l - 2/3*l**4 + 0 - 1/3*l**3 = 0. Calculate l.
-1, 0, 1, 2
Let p(x) be the first derivative of -134 + 84*x + 21*x**3 - 3/5*x**5 - 159/2*x**2 + 15/4*x**4. Solve p(q) = 0 for q.
-4, 1, 7
Find p such that 2*p**2 - 2/11*p**3 + 18/11 - 38/11*p = 0.
1, 9
Factor 651*q + 0 + 165/2*q**2 - 3/2*q**3.
-3*q*(q - 62)*(q + 7)/2
Let k(o) be the first derivative of o**4/18 - 2*o**3/9 - o**2/9 + 2*o/3 + 1285. Let k(v) = 0. Calculate v.
-1, 1, 3
Let j be (-4)/(-18) + 136/36. Find c such that 119*c**2 + j*c**5 - 20*c**4 + 36*c**4 - 167*c**2 + 36*c - 8*c**3 = 0.
-3, 0, 1
Let t(g) be the third derivative of 0 - 1/60*g**5 + 68*g**2 + 0*g**4 + 3/2*g**3 + 0*g. Factor t(c).
-(c - 3)*(c + 3)
Let i be ((-10 + -3)/13)/((-420)/(-180) + 1*-4). Factor 331776/5 + 20736/5*v + i*v**3 + 432/5*v**2.
3*(v + 48)**3/5
Let x(h) be the first derivative of 4*h - 19 + 1/4*h**4 - 2*h**2 - 1/3*h**3. Find y such that x(y) = 0.
-2, 1, 2
Let l(u) = -u**2 - 221*u - 954. Let z(b) = 5*b**2 + 883*b + 3839. Let h(t) = -9*l(t) - 2*z(t). Factor h(g).
-(g - 227)*(g + 4)
Let b(l) be the first derivative of -l**6/30 + 3*l**5/20 - l**4/6 - 10*l + 63. Let y(o) be the first derivative of b(o). Factor y(f).
-f**2*(f - 2)*(f - 1)
Let s be (-3)/8*(-39 - 1). Let y(c) = c**2 - 12*c - 42. Let h be y(s). Solve -4/15*m**4 + 2/15*m**5 + 0 - 8/15*m - 2/5*m**h + 16/15*m**2 = 0 for m.
-2, 0, 1, 2
Determine w so that 2*w**4 - 16 - 2*w**3 - 112631*w**2 + 24*w - 4*w**3 + 112627*w**2 = 0.
-2, 1, 2
Let p = -5740 - -40182/7. Let u(l) be the first derivative of 0*l - p*l**2 - 7 + 1/21*l**3. Factor u(g).
g*(g - 4)/7
Suppose -d = -4*u - 98, -3*u + 0*d - 78 = -3*d. Let t be -4 + (2 - 4 - u). Suppose -19*o**3 + 4*o**2 - 16*o + t*o**3 + 12*o = 0. What is o?
0, 2
Let -320 + 155/4*o**2 - 280*o - 5/4*o**3 = 0. What is o?
-1, 16
Factor -3173/2*t + 37/2*t**3 + 2909/6*t**2 + 1/6*t**4 + 1083.
(t - 2)*(t - 1)*(t + 57)**2/6
Let y be ((-28)/(-420)*12)/(-1) + (-552)/(-15). Factor y - 3/2*f**2 + 3/2*f**3 - 21*f.
3*(f - 3)*(f - 2)*(f + 4)/2
Let x(l) be the second derivative of 0*l**2 - 35/3*l**3 + 5/12*l**4 - 72*l + 0. Factor x(z).
5*z*(z - 14)
Let g be 3451/2436 - ((81/(-12))/3 + 1). Suppose 38/3*q**3 + 0 + 28/3*q**2 + g*q**4 + 2*q - 8/3*q**5 = 0. What is q?
-1, -1/2, 0, 3
Let t = 247601/20 + -12380. Let m(g) be the third derivative of -g**3 - 3/8*g**4 + 9*g**2 + 0*g - t*g**5 + 0. Factor m(b).
-3*(b + 1)*(b + 2)
Let u(i) be the third derivative of i**6/300 + i**5/15 + i**4/20 - 42*i**3/5 - 5489*i**2. Let u(a) = 0. Calculate a.
-7, -6, 3
Let y = -236 + 248. Determine g so that 45*g + 17*g**5 + 6*g**5 + 36*g**4 - y - 11*g**5 - 57*g**3 - 24*g**2 = 0.
-4, -1, 1/2, 1
What is p in 23*p**2 - 21*p**2 - 122*p + 72 + 184 + 50*p = 0?
4, 32
Let p(n) be the first derivative of n**5/150 - 7*n**4/90 + 11*n**3/45 - n**2/3 + 53*n + 60. Let j(u) be the first derivative of p(u). Factor j(s).
2*(s - 5)*(s - 1)**2/15
Suppose -12 = -6*x - 2*t, -105*x + 103*x = -4*t + 24. Factor 20/13*c - 2/13*c**2 + x.
-2*c*(c - 10)/13
Let l be ((-4)/(-21))/(174/203). Determine n, given that l + 0*n - 4/9*n**3 - 2/3*n**2 = 0.
-1, 1/2
Suppose 2*s = -2*o + 3 + 17, 0 = 2*o + s - 18. Suppose -3*g = -o - 4. What is f in -13*f**3 + 28*f**3 - 13*f**3 - 6*f - g*f**2 = 0?
-1, 0, 3
Let a(i) be the first derivative of -8*i**3/51 + 675*i**2/17 + 338*i/17 + 497. Suppose a(j) = 0.