et z be m(v). Factor z - 2 + 4 - 4*y**3 + 4 + 12*y.
-4*(y - 2)*(y + 1)**2
Factor 2/3*l**3 - 46/9 + 62/3*l - 146/9*l**2.
2*(l - 23)*(l - 1)*(3*l - 1)/9
Factor -39/2*z + 135 - 3/2*z**2.
-3*(z - 5)*(z + 18)/2
Determine s, given that -261/8*s - 3/8*s**2 - 255/4 = 0.
-85, -2
Let i(r) = -11*r - 40. Let z be i(-7). Solve p**3 - 34*p + 54 + 44*p - z*p = 0.
-6, 3
Determine t, given that -22*t - 12111*t**2 + 100*t**4 - 60 + 610*t**3 + 6389*t**2 + 6270*t**2 = 0.
-5, -1, -2/5, 3/10
Factor 2929690 + 1309638 + 8*k**2 - 7*k**2 + 3003547 - 493271 + 5196*k.
(k + 2598)**2
Solve 344*n**5 - 21*n**4 + 27*n**2 + 9*n**3 - 51*n - 36 - 341*n**5 + 30*n**2 + 39*n = 0.
-1, 1, 2, 6
Let f(d) = -14*d**2 - 2*d - 1. Let k(a) = 128*a**2 - 152*a + 10. Let s(l) = 10*f(l) + k(l). Find g, given that s(g) = 0.
-43/3, 0
Let v(h) = -3*h**4 + 11*h**3 + 3*h**2 + 41*h - 4. Let g(r) = 4*r**4 - 15*r**3 - 3*r**2 - 55*r + 6. Let p(z) = 8*g(z) + 11*v(z). Factor p(j).
-(j - 4)*(j + 1)**3
Let f = -378 + 380. Let -14*c**3 - 76*c**f - 48 + 57*c + 78*c + 10*c**4 + 17*c = 0. Calculate c.
-3, 2/5, 2
Suppose -17*l = 10*l - 9*l. Suppose y**2 + l - 1/4*y**4 + 1/4*y**3 - y = 0. What is y?
-2, 0, 1, 2
Let a = 328 - 309. Suppose 0 = 14*i + a*i - 165. Factor 0*p**2 + 3/5*p**i - 6/5*p**3 + 3/5*p + 0*p**4 + 0.
3*p*(p - 1)**2*(p + 1)**2/5
Let x(w) be the first derivative of -25*w**6/27 + 26*w**5/9 + 22*w**4/9 - 488*w**3/27 + 224*w**2/9 - 128*w/9 + 1058. Suppose x(z) = 0. Calculate z.
-2, 4/5, 1, 2
Suppose -n = -5*f - 38, 7*f - 2*f + 134 = 3*n. Let p = n + -14. Determine z, given that 36*z - 13 - p*z**2 - 16*z**2 + 11*z**2 - 3*z**4 + 1 + 18*z**3 = 0.
1, 2
Let j(b) be the third derivative of 25*b**8/2352 + 11*b**7/210 + 27*b**6/280 + 31*b**5/420 + b**4/84 - b**2 + 303*b. Factor j(u).
u*(u + 1)**3*(25*u + 2)/7
Solve -2/7*h**3 - 22/7*h**2 + 54/7 - 30/7*h = 0 for h.
-9, -3, 1
Let g(o) = -20*o - 83. Let d be g(-6). Solve 14 + h**2 + 22*h + d + 46 + 24 = 0 for h.
-11
Let x(u) be the first derivative of u**6/60 - 13*u**5/80 + 23*u**4/48 - u**3/8 - 9*u**2/8 - 19*u - 2. Let l(g) be the first derivative of x(g). Factor l(r).
(r - 3)**2*(r - 1)*(2*r + 1)/4
Let y(v) = 9*v**2 - 262*v - 972. Let o(r) = -3*r**2 + 89*r + 324. Let x(g) = 11*o(g) + 4*y(g). Factor x(m).
3*(m - 27)*(m + 4)
Let j(a) be the first derivative of 60 + 4/3*a**3 + 12*a + 8*a**2. Suppose j(s) = 0. What is s?
-3, -1
Let n(d) be the second derivative of -d**7/2520 + 7*d**6/144 + 293*d**4/12 - 234*d. Let f(w) be the third derivative of n(w). Factor f(y).
-y*(y - 35)
Let o(h) = h**2 - 32*h + 2. Let f be o(32). Suppose 68*g**f + 52*g**2 - 5*g**3 - 65*g**2 = 0. What is g?
0, 11
Let o(n) be the second derivative of -2*n**6/165 + 43*n**5/110 - 109*n**4/66 - 316*n**3/33 + 180*n**2/11 - 6087*n. Let o(w) = 0. Calculate w.
-2, 1/2, 5, 18
Let u = 229/828 + 1841/828. Factor 2*a - 4*a**2 - 1/2*a**4 + u*a**3 + 0.
-a*(a - 2)**2*(a - 1)/2
Let x(z) be the first derivative of -z**4/2 - z**2 - 4*z - 39. Let b(p) = -p - 1. Let f(u) = -4*b(u) + x(u). What is j in f(j) = 0?
-1, 0, 1
Let q(a) = 6*a**3 - a. Let t = -303 + 304. Let z be q(t). Factor -9/5*l + 3/5 - 9/5*l**4 + 6/5*l**2 + 6/5*l**3 + 3/5*l**z.
3*(l - 1)**4*(l + 1)/5
Let t(i) = -i**2 - 4*i + 1. Let o be t(-3). Suppose -105*n + 212 = -204*n + 205*n. Factor 8/5*h**n - 4/5*h**3 + 12/5*h**5 + 0 + 0*h - 16/5*h**o.
4*h**2*(h - 1)**2*(3*h + 2)/5
Let h(f) be the third derivative of -5/168*f**4 + 0*f + 1/105*f**6 + 1/105*f**7 - 1/784*f**8 + 0*f**3 - 5*f**2 + 1 - 1/30*f**5. Let h(i) = 0. What is i?
-1, -1/3, 0, 1, 5
Factor -3076/13*j - 2/13*j**2 - 1182722/13.
-2*(j + 769)**2/13
Let z(a) = 54*a**2 + a. Let m be z(-1). Let i = -32 + m. Factor -i*n - 17 - 3*n**3 - 3*n**2 + 8 - 12*n**2.
-3*(n + 1)**2*(n + 3)
Find w such that 5480/17*w + 3753800/17 + 2/17*w**2 = 0.
-1370
Let x(r) be the first derivative of -2*r - 8 - 8/65*r**5 - 7/195*r**6 - 2/39*r**3 + 0*r**2 - 11/78*r**4. Let a(b) be the first derivative of x(b). Factor a(t).
-2*t*(t + 1)**2*(7*t + 2)/13
Suppose 3*z + 10 - 73 = -5*v, 0 = 3*v - 5*z - 31. Let g be 236/v - 4 - (-1)/3. Factor 0*b**2 + 6*b**2 - 10*b**2 + g*b - 16.
-4*(b - 2)**2
Let d be 21/63 - (-880)/6. Factor -66 - 2*q**2 + d - 2*q - 77.
-2*(q - 1)*(q + 2)
Factor 123627/4 + 3/4*g**2 - 609/2*g.
3*(g - 203)**2/4
Let a(n) be the first derivative of 3*n**4/4 + 48*n**3 + 141*n**2/2 - 1825. Factor a(c).
3*c*(c + 1)*(c + 47)
Let k = -1461/5 + -2017/5. Let q = k - -696. What is p in 0 - 8/5*p + q*p**2 = 0?
0, 4
Let v(w) be the first derivative of -w**4/4 - 268*w**3/3 - 17685*w**2/2 + 36450*w + 1261. Factor v(z).
-(z - 2)*(z + 135)**2
Let o(f) = f**2 - 1278*f - 105765. Let y be o(-78). Find z, given that -2/5 + 8/5*z**y - 4/5*z**4 - 3/5*z**5 + 6/5*z**2 - z = 0.
-2, -1, -1/3, 1
Let x(n) = -5*n**4 + 15*n**3 + 70*n**2 - 12*n - 200. Let q(f) = 6*f. Let m(v) = -8*q(v) + x(v). Factor m(j).
-5*(j - 5)*(j - 2)*(j + 2)**2
Let s(n) = 13*n - 106. Let d be s(8). Let x be d/4 + (189/(-18) - -11). Factor x - 1/5*z + 6/5*z**3 - 8/5*z**4 + 0*z**2 + 3/5*z**5.
z*(z - 1)**3*(3*z + 1)/5
Let f be (-5)/((-2500)/645) - (-74)/(-1850). What is k in 9/4*k**5 - 3/4*k**4 - 1/4*k**2 + 0*k + 0 - f*k**3 = 0?
-1/3, 0, 1
Let j(p) be the first derivative of 2*p**3/21 + 16*p**2/7 + 3019. What is f in j(f) = 0?
-16, 0
Let a(h) be the first derivative of -7*h**6/6 + 68*h**5/5 - 169*h**4/4 + 24*h**3 + 18*h**2 - 543. Suppose a(o) = 0. Calculate o.
-2/7, 0, 1, 3, 6
Let c = 280 + -70. Let p be (0 - 0) + 280/c. Determine d, given that p*d**3 + 0*d + 2/3*d**4 + 0 + 0*d**2 = 0.
-2, 0
Suppose 0 = 5*r + 4*d - 15, 6*r + 8*d - 18 = 13*d. Let z(h) be the third derivative of 8/3*h**r + 0 + 1/30*h**5 + 0*h + 16*h**2 + 3/4*h**4. Factor z(j).
2*(j + 1)*(j + 8)
Let u(p) = 20*p + 0*p**2 + 2*p**2 + 0*p**2 - 3*p**2 + 48. Let j be u(22). Find f such that 25*f**4 + 27*f**j + 32 - 16*f**2 - 50*f**4 = 0.
-2, 2
Let x(d) be the third derivative of 4*d**7/735 - d**6/84 - d**5/30 + d**4/42 - 757*d**2. Solve x(f) = 0.
-1, 0, 1/4, 2
Let q(m) be the second derivative of 4*m**5/45 + 451*m**4/54 + 878*m**3/27 + 145*m**2/3 + 826*m. Factor q(l).
2*(l + 1)**2*(8*l + 435)/9
Let x = 128779 - 128779. Factor 4/5*l**2 + 4/5*l + x - 4/5*l**4 - 4/5*l**3.
-4*l*(l - 1)*(l + 1)**2/5
Let o(c) be the third derivative of 1/390*c**5 - 3/52*c**4 + 1/780*c**6 + 0 + 80*c**2 + 0*c - 3/13*c**3. Factor o(r).
2*(r - 3)*(r + 1)*(r + 3)/13
Find t such that 2*t**4 - 22*t**3 - 112*t**2 - 60632 - 120*t + 60632 = 0.
-2, 0, 15
Let y = -264060 + 51491809/195. Let l = y - -7/65. Factor -8/3*t + 8/3 - 2/3*t**2 + l*t**3.
2*(t - 2)*(t - 1)*(t + 2)/3
Suppose -18*s**3 - 1/3*s**4 - 17 - 154/3*s - 52*s**2 = 0. Calculate s.
-51, -1
Let y(f) = -10*f**4 + f**3 + 11*f**2 + 27*f. Let l(z) = 9*z**4 - 2*z**3 - 11*z**2 - 24*z. Let r(g) = -9*l(g) - 8*y(g). Determine w, given that r(w) = 0.
-1, 0, 11
Let x(t) be the third derivative of -t**6/360 + 7*t**5/180 - 5*t**4/36 + 1431*t**2. Find c, given that x(c) = 0.
0, 2, 5
Let w(z) be the first derivative of -5*z**4/4 - 5*z**3/3 + 50*z**2 - 2896. Factor w(x).
-5*x*(x - 4)*(x + 5)
Let f(d) = 16*d**3 + 15*d**2 + 47*d + 3. Let m be f(-4). Let r = -969 - m. Factor -4/15*y - 2/15*y**2 + r.
-2*y*(y + 2)/15
Let l(w) be the third derivative of -w**8/60480 + w**7/7560 - 8*w**5/15 + 2*w**2 + 2. Let r(a) be the third derivative of l(a). Factor r(g).
-g*(g - 2)/3
Let o(z) be the third derivative of -z**9/7560 - z**8/1680 - 49*z**4/24 + 74*z**2. Let m(s) be the second derivative of o(s). Factor m(n).
-2*n**3*(n + 2)
Let j = -3 - -5. Suppose 53 + 367*t - 8 + 5*t**j - 417*t = 0. What is t?
1, 9
Let a(p) be the first derivative of 2*p**3/21 + 138*p**2/7 + 274*p/7 - 2583. Determine d, given that a(d) = 0.
-137, -1
Let u be (-15)/6*1*20/(-50). Let d be 5 - (6 + (u - 4)). What is l in 9 + 5*l**d + 22 - 20*l - 5 - 6 = 0?
2
Let k(r) be the second derivative of -r**7/210 - 4*r**6/75 - r**5/5 - r**4/6 + 7*r**3/10 + 9*r**2/5 - 26*r + 22. Determine s so that k(s) = 0.
-3, -2, -1, 1
Let f = -368 + 383. Suppose 0 = -2*u - f*u + 34. Determine d so that 0*d - 2/3*d**4 + 0 + 0*d**3 + 2/3*d**u = 0.
-1, 0, 1
Suppose -29 = -15*a + 10*a - 3*o, 5*a - 32 = -4*o. Determine q, given that -a*q + 1186*q**2 - 1171*q**2 - 2*q + 9*q**3 = 0.
-2, 0, 1/3
Find v, given that 16*v + 0 - 1/2*v**5 - 9*v**2 - 31/2*v**3 + 9*v**4 = 0.
-1, 0, 1, 