 18*o - 16 = 0, u + o - 5 = 0. Factor 9/4*n + 0 + 3/4*n**3 - u*n**2.
3*n*(n - 3)*(n - 1)/4
Let j = 714 - 714. Let r(l) be the third derivative of 2/75*l**5 - 1/30*l**4 + 17*l**2 + 1/150*l**6 - 4/15*l**3 + j + 0*l. Factor r(s).
4*(s - 1)*(s + 1)*(s + 2)/5
Let l = 72896/21 + -10412/3. Factor 0 + 4/7*o**4 + 0*o + 0*o**2 + l*o**3.
4*o**3*(o + 1)/7
Factor 0 + 0*x**2 + 0*x - 8/9*x**3 - 7/9*x**4 + 1/9*x**5.
x**3*(x - 8)*(x + 1)/9
Let m(c) be the third derivative of 0*c**3 + 0*c + 0 - 1/180*c**6 - 46*c**2 - c**4 + 2/15*c**5. Let m(v) = 0. What is v?
0, 6
Let k(s) be the third derivative of -13/30*s**5 + 26 - 12*s**3 + 1/60*s**6 + 4*s**4 + 0*s - 2*s**2. Let k(b) = 0. Calculate b.
1, 6
Let g(k) be the second derivative of 4 + 10*k - 4/27*k**3 + 4/9*k**2 + 1/90*k**5 - 1/54*k**4. Suppose g(z) = 0. What is z?
-2, 1, 2
Solve 34/3*k**3 + 0 - 16/3*k**2 - 2*k**4 - 32*k = 0 for k.
-4/3, 0, 3, 4
Factor -12931*i + 5586*i - 6*i**3 + 6553*i - 1053 + 255*i**2.
-3*(i - 39)*(i + 1)*(2*i - 9)
Let l(m) be the second derivative of 3/4*m**3 - 1/12*m**4 - m**2 + 0 - 124*m. Factor l(h).
-(h - 4)*(2*h - 1)/2
Let d = 9594 - 9589. Let x(a) be the second derivative of -11/14*a**4 - 3/5*a**d - 2/49*a**7 - 3/14*a**2 - 4/7*a**3 - 17/70*a**6 + 0 + 25*a. Factor x(s).
-3*(s + 1)**4*(4*s + 1)/7
Let m be (-2)/(-10) + 67 + 55398/(-840). Find o such that -1/4*o**5 + 3/2*o - m*o**2 + 5/4*o**4 - 5/4*o**3 + 0 = 0.
-1, 0, 1, 2, 3
Let h(k) = 5*k**2 + 479*k - 544. Let s(l) = -110*l**2 - 10535*l + 11995. Let x(w) = -45*h(w) - 2*s(w). Factor x(q).
-5*(q - 1)*(q + 98)
Let l(f) be the third derivative of 0*f**4 + 0 - 99*f**2 + 0*f - 1/735*f**7 + 0*f**3 + 1/70*f**5 - 1/210*f**6. Factor l(i).
-2*i**2*(i - 1)*(i + 3)/7
Suppose 410*o + 3085 = 1027*o. Suppose 8/3*h**4 - 2/3*h**3 + 0*h - 4*h**2 - 2/3*h**o + 0 = 0. What is h?
-1, 0, 2, 3
Determine q so that 176*q**2 + 180*q**3 + 112 + 2*q + 178*q**3 - 288 - 360*q**3 = 0.
-1, 1, 88
Let z(t) = 3*t**3 - 11*t**2 - 2*t + 2. Let s be z(7). Let -818*q + q**3 + 62*q**2 - 2711 - 4*q**3 - 170*q**2 - 2473 - s*q = 0. What is q?
-12
Let g be 2 + 2 - -1*1. Suppose -456*i = -472*i + 64. Factor 2*r**4 - 4*r**4 - 4 - 18*r**2 + 0*r**i + 5*r**3 + g*r**3 + 14*r.
-2*(r - 2)*(r - 1)**3
Let c be (63/12)/(786/(-392) + 2). Let s be c/70*(15/(-9) - -1). Solve -s*a**4 - 112/5*a + 28/5*a**3 + 16/5 + 192/5*a**2 = 0.
-2, 2/7, 2
Let -3/5*l**3 - 4545*l + 489/5*l**2 + 43875 = 0. What is l?
13, 75
Let p(z) be the second derivative of z**6/50 + 3*z**5/25 - 21*z**4/20 - 4*z - 118. Solve p(m) = 0.
-7, 0, 3
Let d be (-3)/((21/(-11))/(-7)). Let n = 103/9 + d. What is o in -n*o + 2/9*o**2 + 0 = 0?
0, 2
Let j(c) be the second derivative of 169*c**6/105 + 481*c**5/35 - 22*c**4/3 + 8*c**3/7 - 2454*c. Let j(v) = 0. Calculate v.
-6, 0, 2/13
What is g in -87*g**3 + 11*g**4 - 69*g**3 + 24*g**2 + 106*g**3 = 0?
0, 6/11, 4
Let c(q) be the first derivative of 2*q**7/21 + 4*q**6/15 - 4*q**5/5 - 2*q**4/3 + 2*q**3 + 59*q + 26. Let k(v) be the first derivative of c(v). Factor k(h).
4*h*(h - 1)**2*(h + 1)*(h + 3)
Let u(n) be the second derivative of -n**4/72 + 1045*n**3/6 - 3276075*n**2/4 + 359*n. Let u(r) = 0. What is r?
3135
Let i(c) be the third derivative of -1/420*c**7 - 33/40*c**5 + 5/12*c**4 + 25/3*c**3 + 153*c**2 - 1/12*c**6 + 0 + 0*c. Factor i(n).
-(n - 1)*(n + 1)*(n + 10)**2/2
Let z(t) be the third derivative of -t**5/240 - 71*t**4/4 - 30246*t**3 + 294*t**2. Factor z(s).
-(s + 852)**2/4
Let g(c) be the first derivative of -63*c + 11*c**3 - 57/4*c**2 - 3/8*c**4 + 201. Let g(w) = 0. What is w?
-1, 2, 21
Let z(n) be the second derivative of 1/16*n**4 + 3/80*n**5 - 1/2*n**3 + 4 - 3/2*n**2 + 4*n. Factor z(f).
3*(f - 2)*(f + 1)*(f + 2)/4
Factor -560/9 + 2/9*k**3 + 4/9*k + 26/9*k**2.
2*(k - 4)*(k + 7)*(k + 10)/9
Determine y so that 3*y**4 - 6898475*y**2 + 27767188953*y + 190800726601728 - 85513302269*y - 33888*y**3 + 150448043*y**2 - 212509873372*y = 0.
2824
Determine r, given that -10*r**4 - 2*r**4 + 944*r**2 - 2598*r**3 - 1870*r**3 + 3060*r**3 = 0.
-118, 0, 2/3
Let u(r) = r**3 + 2*r - 2. Let w(p) be the first derivative of -p**5/5 + p**4/2 + p**3/3 + 13*p**2/2 - 10*p + 158. Let l(o) = 20*u(o) - 4*w(o). Factor l(b).
4*b*(b - 1)*(b + 1)*(b + 3)
Factor 48 - 3/5*y**2 + 114/5*y.
-3*(y - 40)*(y + 2)/5
Let n be (1326/(-255))/(1/(-3)*2) - (-110)/550. Factor -13/5 - 42/5*z**2 - n*z - 16/5*z**3 - 1/5*z**4.
-(z + 1)**3*(z + 13)/5
Let h(j) be the first derivative of j**5/130 + 2*j**4/39 - 11*j**3/39 + 6*j**2/13 + 39*j - 17. Let a(d) be the first derivative of h(d). Factor a(p).
2*(p - 1)**2*(p + 6)/13
Let l(i) be the second derivative of -125*i**7/42 - 103*i**6/3 - 162*i**5 - 1180*i**4/3 - 1480*i**3/3 - 240*i**2 - 4442*i. Suppose l(o) = 0. Calculate o.
-2, -6/25
Let q(k) be the first derivative of 1/24*k**3 + 0*k - 3/8*k**2 + 27. Factor q(p).
p*(p - 6)/8
Suppose 45*s + 401 + 220 = 72*s. Let y(v) be the second derivative of -s*v + 1/2*v**2 + 0 - 1/12*v**4 + 0*v**3. Factor y(h).
-(h - 1)*(h + 1)
Let t be -18 + 214/60 + 1 + 0. Let b = t + 83/6. Solve 4/5*w + 2/5 + b*w**2 = 0.
-1
Suppose -2*q = -2*i + 10, -6*i + 7*i - 29 = 5*q. Let t(b) = 21*b**3 - 33*b**2 + 12*b. Let z(m) = m**2 - m. Let d(v) = q*z(v) - t(v). Factor d(y).
-3*y*(y - 1)*(7*y - 2)
Suppose -14*b = -42*b + 8064. Factor 85 + 253 + 4*y**3 + 0*y**3 + 94 + 60*y**2 + b*y.
4*(y + 3)*(y + 6)**2
Let x be 137/1096 + 79/8. Suppose 34 = 3*n + 5*o, x*o - 7*o = -2*n + 21. Determine a, given that -3/5*a - a**n - 7/5*a**2 + 0 - 1/5*a**4 = 0.
-3, -1, 0
Let m = -756 - -745. Let p be (m/22)/((-3)/24). Let 25*s + 35/4*s**3 - 10 - 5/4*s**p - 45/2*s**2 = 0. What is s?
1, 2
Let u(g) be the first derivative of g**4/12 - 4*g**3 + 72*g**2 + 45*g + 40. Let l(k) be the first derivative of u(k). Suppose l(x) = 0. Calculate x.
12
Let i = -140870 + 140872. Suppose 45/4*a**i + 1/4*a**4 + 17/4*a**3 + 43/4*a + 7/2 = 0. Calculate a.
-14, -1
Let t be (-2 - 7/14)*((-184)/(-138) + 64/(-30)). What is p in 12/7*p - 2/7*p**t + 2 = 0?
-1, 7
Let m(d) = -3*d**2 - 173*d - 4. Let f(n) = -2*n**2 - 157*n - 3. Let l(o) = -4*f(o) + 3*m(o). Solve l(r) = 0.
0, 109
Let g(d) = 4*d + 641. Let r be g(-53). Let h be -9*(r/(-121) - -3). Suppose -h*f**3 - 4/11 - 26/11*f - 18/11*f**4 - 58/11*f**2 = 0. Calculate f.
-1, -2/3, -1/3
Suppose 45/4*q**3 + 7/2*q**4 - 49*q + 1/4*q**5 - 14*q**2 + 0 = 0. What is q?
-7, -2, 0, 2
Let a = -4/90197 - -2886364/1352955. Find y, given that 14/15*y**2 + a*y + 0 = 0.
-16/7, 0
Let z(c) be the first derivative of 3*c**4/2 + 4*c**3/3 - 2*c**2 - 172. Let k(b) = 2*b**3 + 4*b**2 - 3*b. Let f(a) = 4*k(a) - 3*z(a). Factor f(s).
-2*s**2*(5*s - 2)
Suppose -189/2*h**2 + 51 - 9/2*h**4 - 261/2*h + 165/2*h**3 = 0. What is h?
-1, 1/3, 2, 17
Let f(z) be the first derivative of 2/9*z**3 - z**2 - 36 + 0*z. Factor f(v).
2*v*(v - 3)/3
Suppose 0 = -38509*i + 38528*i - 57. Let -1/3*t**i + 1/6*t**2 + 1/3*t - 1/6*t**4 + 0 = 0. What is t?
-2, -1, 0, 1
Let w(y) = -5*y + 14. Let i be w(2). Factor -23 + 42 + i*l - 19 - 2*l**2 - 2*l**3.
-2*l*(l - 1)*(l + 2)
Let f(m) = -3*m + 50. Let z be f(8). Factor -6 - 9 + z*n + 9*n**2 - 15 - 16 + 43.
(n + 3)*(9*n - 1)
Let v(y) be the first derivative of y**4/16 + 2*y**3/3 - 59*y**2/8 + 39*y/2 - 654. Solve v(j) = 0.
-13, 2, 3
Suppose -4*y - 4*z = -56, y + 43 = 3*y - 3*z. Suppose 14 = y*f - 10*f. Find a such that -1/6*a**3 - 1/6 - 1/2*a - 1/2*a**f = 0.
-1
Let d(s) = -s**2 - 12*s + 3. Let i(q) = 6*q**2 + 58*q - 16. Let o be -8*((-6)/1)/3. Let w(u) = o*d(u) + 3*i(u). Find z, given that w(z) = 0.
0, 9
Let d be ((-15)/10)/(3/(-4)). Let f = 3680/31 - 33058/279. Factor -8/9 + 8/9*k - f*k**d.
-2*(k - 2)**2/9
Factor 39075*n**2 + 88387975625 + 101790375*n - 36*n**3 - 27*n**3 + 100*n**3 - 32*n**3.
5*(n + 2605)**3
Let m(s) be the second derivative of s**6/10 + 21*s**5/10 + 33*s**4/4 - 1570*s. Factor m(l).
3*l**2*(l + 3)*(l + 11)
Let -11*s**2 - 18*s**2 - s**3 + 193*s**2 + 44105*s + 2*s**3 - 43465*s = 0. What is s?
-160, -4, 0
Let p be (36/30)/((16/(-10))/(-4)). Let l be 1*3 + -3 + p. Determine g so that 8*g - 27*g**3 - 22*g**3 + 12*g**2 - g**5 - 3*g**4 + 51*g**l = 0.
-2, -1, 0, 2
Determine s so that -120 + 163*s - 85/2*s**2 - s**3 + 1/2*s**4 = 0.
-10, 1, 3, 8
Let r(i) be the first derivative of i**4/10 - 14*i**3/5 - 153*i**2/5 + 7514*i/5 - 3850. Let r(q) = 0. Calculate q.
-13, 17
Supp