en that s + 24/7*z - 2/7*z**3 - 10/7*z**2 = 0.
-6, -2, 3
Let d(m) = 101*m**2 + 2*m - 3. Let v be d(1). Suppose 0 = 9*s - v + 82. Factor -33/7*k**4 - 3*k**s + 6/7*k + 0 - 60/7*k**3.
-3*k*(k + 1)**2*(11*k - 2)/7
Factor 56 - 2/3*w**3 + 178/3*w + 8/3*w**2.
-2*(w - 12)*(w + 1)*(w + 7)/3
Factor 2/9*g**2 - 88/3 - 128/9*g.
2*(g - 66)*(g + 2)/9
Let r = 3394 + -3388. Let n(z) be the third derivative of 1/2*z**5 - 15/8*z**4 + 0*z + 0 - 1/24*z**r - z**2 + 10/3*z**3. Factor n(d).
-5*(d - 4)*(d - 1)**2
Let z = -9463 + 9468. Let t(x) be the second derivative of x + 2/3*x**z + 4/3*x**2 + 0 - 16/9*x**3 + 1/3*x**4 + 5/36*x**6. Factor t(r).
(r + 2)**2*(5*r - 2)**2/6
Determine n so that 6280*n + 7394700 + 4/3*n**2 = 0.
-2355
Suppose -4*u = 3*r + 1041 - 1055, -6 = -4*r + u. Let 0 - 1/3*s**r + 0*s - 1/3*s**3 = 0. What is s?
-1, 0
Let w(h) be the third derivative of -11/48*h**5 - 1/16*h**6 + 0*h - h**2 - 5/16*h**4 + 0*h**3 - 1/168*h**7 - 150. Suppose w(n) = 0. Calculate n.
-3, -2, -1, 0
Factor 1/8*t**3 + 0*t + t**4 + 0 + 1/8*t**5 - 21/4*t**2.
t**2*(t - 2)*(t + 3)*(t + 7)/8
Factor 18*w**2 + 111*w + w**3 + 140*w + 78 - 255*w + 75*w.
(w + 2)*(w + 3)*(w + 13)
Let q(h) = h**5 - 53*h**4 - 180*h**3 + 473*h**2 + 953*h - 21. Let x(p) = -35*p**4 - 120*p**3 + 315*p**2 + 635*p - 15. Let t(y) = 5*q(y) - 7*x(y). Factor t(o).
5*o*(o - 4)**2*(o + 2)**2
Let s be (-222)/200 + 231/132. Let w = s - 126/275. Factor 2/11*i**5 - 2/11*i**4 - w*i**3 + 2/11*i**2 + 0*i + 0.
2*i**2*(i - 1)**2*(i + 1)/11
Let x(v) be the third derivative of -v**7/21 + 367*v**6/24 - 303*v**5/4 + 3625*v**4/24 - 905*v**3/6 - 377*v**2 - 8. Let x(z) = 0. Calculate z.
1/2, 1, 181
Find k such that -51/2*k**3 + 26*k + 73/6*k**4 - 29/6*k**2 - 1/2*k**5 - 22/3 = 0.
-1, 1/3, 1, 2, 22
Let x be 748/(-110) - 8/(-10). Let v(d) = -d**3 + d. Let u(f) = 4*f**3 - 20*f**2 - 40*f - 16. Let g(j) = x*v(j) - u(j). Solve g(o) = 0 for o.
-8, -1
Let y = -18 - -21. Factor 111*o - 192*o - 5*o**y + 101*o - 19*o**2 + 4*o**2.
-5*o*(o - 1)*(o + 4)
Let -1113/2*v**2 + 42465/8*v + 117/8*v**3 - 1083/4 = 0. What is v?
2/39, 19
Let v(m) be the second derivative of m**5/30 + 58*m**4/9 + 95*m**3 - 324*m**2 + 7372*m. Factor v(x).
2*(x - 1)*(x + 9)*(x + 108)/3
Let -240*y**3 + 207*y - 1272*y**4 + 162 + 33*y**5 + 623*y**4 + 637*y**4 - 150*y**2 = 0. Calculate y.
-18/11, -1, 1, 3
Let x = -1148 - -1149. Let m be (-638)/(-116) - -1*(x + -6). Determine s so that 2*s + 4 - s**2 - m*s**3 = 0.
-2, 2
Let y(s) = -8*s - 46. Let q be y(-6). Factor -28*n + 3*n**q - 5*n**3 + 40*n - 3*n**4 - 7*n**3.
-3*n*(n - 1)*(n + 1)*(n + 4)
Let q(i) = i**2. Let c(w) = -2*w**3 + 5*w**2 - 8*w + 4. Let s(l) = c(l) + 5*q(l). Let b be s(4). Factor 0*t + 0 + 39/2*t**3 + 3*t**2 + 33/2*t**b.
3*t**2*(t + 1)*(11*t + 2)/2
Factor 54*a**2 + 830*a - 247*a**2 - 115*a**3 + 170*a - 107*a**2 + 25*a**3 - 5*a**4.
-5*a*(a - 2)*(a + 10)**2
Let m be 0/(-3 - 3 - (-4 - -1)). Let x be 8/(4 - m)*1. What is k in 3 - 78*k**2 + 79*k**x + 2 + 5*k + k = 0?
-5, -1
Let w be (-57)/(-12) + -3 - 1. Let c(k) = -4*k + 339. Let o be c(84). Factor 3/4*y**o - w*y**4 + 0 + 3/2*y**2 + 0*y.
-3*y**2*(y - 2)*(y + 1)/4
Factor -2/9*u**2 - 728/9 + 190/9*u.
-2*(u - 91)*(u - 4)/9
Suppose 3*s + 11 = -5*a, -3*s = -5*s - 5*a - 14. Suppose 1596*x**s - 4*x**2 + 5*x**4 - 2*x**5 - 1594*x**3 - x**4 = 0. What is x?
-1, 0, 1, 2
Let f(b) = 2*b**2 + 78*b - 277. Let y be f(-37). Let v = y + 855/2. Solve 9/2*p**3 + v*p - 8*p**2 + 1 = 0.
-2/9, 1
Let s(o) be the third derivative of -o**3/6 + 6*o**2 + 6. Let c(z) = -z**3 - 13*z**2 + 5. Let x(p) = -c(p) - 5*s(p). Solve x(w) = 0.
-13, 0
Let g = -56 + 337/6. Let u = 1985/46 + -981/23. Factor 1/6*q**2 + u - g*q**3 + 5/6*q.
-(q - 3)*(q + 1)**2/6
Let s(a) = 334*a + 4343. Let q be s(-13). Let z(v) be the first derivative of -45/4*v**4 + 6*v - 16*v**3 - 9/2*v**2 - q - 12/5*v**5. Let z(b) = 0. Calculate b.
-2, -1, 1/4
Let n be 2 - 0*2/4. Let v be n + -1 + (3 - (-2)/2). Solve 6*z**2 + z**3 - 9*z + v - 2*z**2 + z**2 - 2*z**2 = 0.
-5, 1
Let x(h) be the second derivative of h**4/16 - 121*h**3/4 - 729*h**2/8 + 84*h + 13. Factor x(o).
3*(o - 243)*(o + 1)/4
Let r be 0/(3/15 - 28/(-35)). Let o(y) = 61*y + 2. Let b be o(r). Factor -2/3*q**3 - 2/3*q**b + 2/3*q**4 + 0 + 2/3*q.
2*q*(q - 1)**2*(q + 1)/3
Let o(h) = 3*h**2 + 4*h**2 + 25 - 10*h**3 + 2*h + 0*h**2 - 19. Let p(a) = -9*a**3 + 6*a**2 + 3*a + 6. Let b(f) = 6*o(f) - 7*p(f). Factor b(m).
3*(m - 2)*(m + 1)**2
Suppose 6*d + 20 = d, -16 = -5*o - d. Suppose 0 = o*m - 3*x - x - 28, -5*m + 33 = -3*x. What is y in m*y - 9*y - 21*y + 4*y**2 = 0?
0, 6
Suppose -21*y = -2*y - 152. Suppose 4*v - y = -69*h + 72*h, 2*v - h = 4. Suppose 30*f**v - 35/2*f**3 + 0 + 10*f = 0. Calculate f.
-2/7, 0, 2
Let m(d) be the first derivative of d**6/180 + 2*d**5/3 + 100*d**4/3 - 3*d**3 - 3*d**2/2 + 41. Let w(y) be the third derivative of m(y). Factor w(i).
2*(i + 20)**2
Determine r so that -5*r**4 + 29*r**4 - r**4 + 36*r**3 + 3*r**5 + r**4 = 0.
-6, -2, 0
Let 1377/5*b + 3/5*b**3 - 867 - 117/5*b**2 = 0. Calculate b.
5, 17
Let f(l) be the third derivative of 2/3*l**3 + 68*l**2 + 11/105*l**7 - 5/12*l**4 + 0 + 1/60*l**6 + 1/42*l**8 + 0*l - 13/30*l**5. Determine h so that f(h) = 0.
-2, -1, 1/4, 1
Suppose -7424 = -25*u + 551. Factor u - 70*c - 127 + 3*c**2 + 22*c.
3*(c - 8)**2
Let q(s) = 9*s + 12. Let o be q(8). Let j = 337/4 - o. Find a, given that 0 - 1/4*a**4 + 1/2*a**3 + j*a**2 - 1/2*a = 0.
-1, 0, 1, 2
Let c = 22/917 - -873/1834. Factor 1/2*g**3 - c*g - 1/4*g**4 + g**2 - 3/4.
-(g - 3)*(g - 1)*(g + 1)**2/4
Let k(t) be the first derivative of 309 + 5/2*t**2 - 115/3*t**3 + 0*t. Find j such that k(j) = 0.
0, 1/23
Suppose 39/2*l**4 + 81*l**3 - 39/2*l**2 - 24*l**5 - 57*l + 0 = 0. Calculate l.
-19/16, -1, 0, 1, 2
Let v(y) be the first derivative of 46*y**5/15 - 205*y**4/18 - 4*y**3/9 + 92*y**2/3 + 16*y/9 - 3742. Solve v(x) = 0.
-1, -2/69, 2
Let k be (-10)/(160/(-58)) - 6/(-16). Factor -15376 + 123*r + 246*r + 60*r + 18*r - k*r**2 + 49*r.
-4*(r - 62)**2
Suppose 362 + 115 = 159*f. Let m(u) be the second derivative of 10/3*u**f - 5/4*u**4 + 1/6*u**6 - 39*u - 1/2*u**5 + 10*u**2 + 0. Suppose m(h) = 0. Calculate h.
-1, 2
Let o be 5 + (21 - (-105)/(-7))/(-2). Find i such that 1/6*i**3 - 1/6*i**o - 5/3*i - 4/3 = 0.
-2, -1, 4
Suppose -6*m + 91 - 211 = 0. Let q be 8/m + (-448)/(-520). Factor 2/13*v**2 - q*v - 8/13.
2*(v - 4)*(v + 1)/13
Factor 420 - 184*t - 145*t - 60*t + 4*t**3 + 97*t - 132*t**2.
4*(t - 35)*(t - 1)*(t + 3)
Let u(h) be the third derivative of h**6/24 - 597*h**5/4 + 1782045*h**4/8 - 354626955*h**3/2 - 3279*h**2. Factor u(o).
5*(o - 597)**3
Let c(u) be the first derivative of 4/21*u**3 - 4/7*u**2 + 50 + 0*u. Determine d, given that c(d) = 0.
0, 2
Let z(f) be the first derivative of -10 + 1/30*f**5 - 5/18*f**3 + 0*f + 1/6*f**2 + 1/8*f**4 - 1/36*f**6. Find l such that z(l) = 0.
-2, 0, 1
Let u(n) = 6*n + 11. Let k be u(-1). Factor 8*s + 27 + 5*s - 4*s**2 + 7*s + k*s**2 + 8*s.
(s + 1)*(s + 27)
Let -177 - 116*x**4 - 847 - 1280*x - 21*x**4 - 20*x**5 - 450*x**3 - 131*x**4 - 14*x**3 + 3056*x**2 = 0. Calculate x.
-8, -2/5, 1, 2
Let s be (-7)/(-7) + (-1 - -3 - 1). Determine j, given that -18 + 61*j**2 - 10*j - j - j - 63*j**s = 0.
-3
Let j(g) be the first derivative of 242*g**6/3 - 176*g**5/5 - 117*g**4 + 176*g**3/3 - 8*g**2 - 2368. Solve j(k) = 0 for k.
-1, 0, 2/11, 1
Let m be (9/(-6))/(12/(-8))*23. Suppose -m*y = -27*y + 32. What is q in -8*q**3 - q**4 + 3*q**4 + y*q + 9 + 4*q**2 - 15 = 0?
-1, 1, 3
Let v(g) be the third derivative of -g**6/80 - 31*g**5/72 + 8*g**4/9 + g**3 + 303*g**2 + 2*g. What is x in v(x) = 0?
-18, -2/9, 1
Let y(q) be the second derivative of -q**5/70 - 127*q**4/42 + 520*q**3/21 - 524*q**2/7 + 7*q + 51. Solve y(r) = 0.
-131, 2
Let q be ((-24)/(-16))/((-2)/(-12)). Suppose 4*i + q = x, 2*x + 2*i - 7 - 1 = 0. Suppose 95*p**x - 4*p**3 - 47*p**5 - 44*p**5 = 0. Calculate p.
-1, 0, 1
Let w(s) be the third derivative of -s**5/210 + 359*s**4/42 + 719*s**3/21 + 2*s**2 + 3*s + 296. Factor w(k).
-2*(k - 719)*(k + 1)/7
Let i(l) be the second derivative of -153/50*l**5 - l - 2 + 1/35*l**7 + 0*l**2 - 23/5*l**4 - 52/75*l**6 - 8/3*l**3. Find v, given that i(v) = 0.
-1, -2/3, 0, 20
Let c(g) be the third derivative of -5*g**6/6 + 233*g**5/10 - 203*g**4 - 49*g**3/3 + 2827*g**2. Factor c(r).
-2*(r - 7)**2*