 1/140*c**5 - 80*c - 5/14*c**3. Factor x(s).
-(s + 1)**2*(s + 7)/7
Solve -13*t**4 + 0 - 6 + 318*t - 303*t + 45*t**2 - 3*t**4 - 8*t**4 - 30*t**3 = 0.
-2, -1/2, 1/4, 1
Find z, given that -59/2*z - 3/2*z**5 + 14 - 8*z**4 + 6*z**2 + 19*z**3 = 0.
-7, -4/3, 1
Let o(v) be the first derivative of 0*v - 23/3*v**2 - 42 - 2/9*v**3. Let o(q) = 0. What is q?
-23, 0
Let x be -18 + (8/(-50))/(164/(-35670)). Find c such that -14*c**3 - 298/5*c**2 - 14/5*c**5 + x*c + 298/5*c**4 + 0 = 0.
-1, 0, 2/7, 1, 21
Let x = 61/151 - 154/755. Factor -t + 1/5*t**2 + x*t**3 + 3/5.
(t - 1)**2*(t + 3)/5
Let t = 2508/7 + -2834/7. Let y = 47 + t. Factor -6/7 + 9/7*r + y*r**4 - 9/7*r**3 + 3/7*r**2.
3*(r - 2)*(r - 1)**2*(r + 1)/7
Let q(y) = 65*y + 65. Let d be q(-8). Let z = -1363/3 - d. Solve -7/3*s**2 - z*s - 4/3*s**3 + 1/3 = 0.
-1, 1/4
Let l(m) be the first derivative of -58/3*m**2 - 116 - 112/3*m - 4/9*m**3. Find h, given that l(h) = 0.
-28, -1
Let k(v) be the third derivative of v**5/60 - 283*v**4/6 + 377*v**3/2 - 4*v**2 + 11*v. Factor k(i).
(i - 1131)*(i - 1)
Factor -134/3*r - 68/3 + 2/3*r**3 - 64/3*r**2.
2*(r - 34)*(r + 1)**2/3
Let -181202/5 - 2/5*l**2 + 1204/5*l = 0. What is l?
301
Suppose -9*v - 5682 + 23907 = 0. Factor -3*n**3 - 120*n**2 + 255*n**2 + 18*n**2 - v*n + 1875.
-3*(n - 25)**2*(n - 1)
Factor -2/11*u**2 + 22 + 0*u.
-2*(u - 11)*(u + 11)/11
Let s(r) be the first derivative of 3*r**5/35 + 2151*r**4/28 + 18309*r**3 - 386643*r**2/14 + 3323. Factor s(u).
3*u*(u - 1)*(u + 359)**2/7
Let k(h) be the first derivative of h**7/2520 + h**6/10 + 54*h**5/5 + 648*h**4 + 5*h**3/3 - 100. Let g(y) be the third derivative of k(y). Factor g(j).
(j + 36)**3/3
Let y(n) be the third derivative of 1/336*n**8 + 23/60*n**6 - 3/2*n**5 + 27/8*n**4 + 336*n**2 - 9/2*n**3 + 0 - 11/210*n**7 + 0*n. Factor y(a).
(a - 3)**3*(a - 1)**2
Factor -74/3*t - 24*t**2 + 0 + 2/3*t**3.
2*t*(t - 37)*(t + 1)/3
Let w(n) = -15*n**2 + 343*n + 114. Let p be (-11)/(-22) - (-6)/(-4). Let r(i) = -2*i - 1. Let h(j) = p*w(j) + 6*r(j). Solve h(f) = 0.
-1/3, 24
Let 273*z + 8*z**4 - 4*z**5 + 391*z + 761*z**2 + 240*z**3 + 326*z - 350*z - 25*z**2 = 0. Calculate z.
-4, -2, 0, 10
Let t(u) = 10*u**2 - 150*u + 149. Let f(w) = -13*w**2 + 150*w - 149. Let h(n) = -3*f(n) - 4*t(n). Determine o so that h(o) = 0.
1, 149
Let n(s) be the third derivative of s**5/240 + 103*s**4/24 + 137*s**3/8 + 1385*s**2. Solve n(g) = 0.
-411, -1
Let r be 60/300*(33/(-2) + 1). Let j = r + 18/5. Factor -5/8*v**3 - j - 17/8*v**2 - 2*v.
-(v + 1)*(v + 2)*(5*v + 2)/8
Let s = -34 + 36. Let 10 - 8*x**3 - 10*x**s - 34*x + 41*x + x**3 = 0. Calculate x.
-10/7, -1, 1
Let o(n) be the third derivative of n**6/12 - 109*n**5/12 + 1765*n**4/24 + 170*n**3 + 347*n**2 - 3. Factor o(w).
5*(w - 51)*(w - 4)*(2*w + 1)
Suppose -84*l - 18 = -81*l. Let g(d) = d**3 + d + 1. Let o(p) = -p**4 - 5*p**3 + 3*p**2 - 7*p - 8. Let r(y) = l*g(y) - o(y). Factor r(a).
(a - 2)*(a - 1)*(a + 1)**2
Let k(x) = -2*x**3 - x**2 - 3*x + 1. Let m(l) = -3*l**3 + 62*l**2 + 1018*l + 2. Let z(r) = -6*k(r) + 3*m(r). Solve z(f) = 0.
-32, 0
Let y(a) be the first derivative of 150 + 2/5*a**5 - 11/5*a**4 + 0*a + 0*a**2 + 16/15*a**3. Factor y(o).
2*o**2*(o - 4)*(5*o - 2)/5
Let w(p) be the third derivative of 1/5*p**5 + p**4 + 16*p**2 + 0*p**3 + 0 + 0*p + 1/80*p**6. Let w(f) = 0. Calculate f.
-4, 0
Let y(r) be the first derivative of -r**4/8 + 7*r**3/4 - 15*r**2/2 + 102*r - 59. Let v(d) be the first derivative of y(d). Find k such that v(k) = 0.
2, 5
Let l(a) = 20*a**3 + a**2 + 325*a + 317. Let j(p) = 132*p**3 + 8*p**2 + 2276*p + 2220. Let s(u) = 3*j(u) - 20*l(u). Let s(g) = 0. What is g?
-8, -1, 10
Let r(g) be the first derivative of -g**4/24 + g**3/2 - 41*g - 7. Let x(b) be the first derivative of r(b). Factor x(y).
-y*(y - 6)/2
Let x be (685 - 2)/((-5)/5). Let t = x + 685. Find m, given that 2/3*m**5 + 2/3*m**4 - 10/3*m**3 - 8/3 + 16/3*m - 2/3*m**t = 0.
-2, 1
Let c(v) = 60*v**2 - 310*v - 685. Suppose 54 = 33*j - 15*j. Let p(s) = 5*s**2 - 26*s - 57. Let g(l) = j*c(l) - 35*p(l). Suppose g(a) = 0. What is a?
-2, 6
Find j, given that -165*j + 51*j**2 + 491*j - 65*j**2 + 324 + 16*j**2 = 0.
-162, -1
Suppose 2*i + 24 = -10*i. Let a be 3*i/8 + 15/20. Factor 0 - 1/6*w**3 + a*w - 1/3*w**2.
-w**2*(w + 2)/6
Suppose -56 - 24 = -16*k. Let c(g) be the third derivative of 0 + 0*g + 0*g**3 + 1/420*g**6 + 0*g**4 + 13*g**2 - 1/105*g**k. What is o in c(o) = 0?
0, 2
Let j(o) = 8*o**3 - 857*o**2 + 1734*o - 863. Let w(y) = -3*y**3 + 286*y**2 - 579*y + 288. Let p(i) = -4*j(i) - 11*w(i). Determine v so that p(v) = 0.
-284, 1
Let r = 9648 - 9645. Let d(h) be the second derivative of -3/2*h**2 + 3/4*h**4 + 0 + h**r - 25*h. Factor d(w).
3*(w + 1)*(3*w - 1)
Let c be 5 + 45/(-10) - 172/(-8). Suppose 24*g - 32*g - 10*g - 26*g**2 - 28*g - 2*g**3 - c = 0. Calculate g.
-11, -1
Let l be 3*2 + (-147)/((-1372)/(-28)). Suppose 176/17*g**2 - 2/17*g**5 + 28/17 - 124/17*g**l + 36/17*g**4 - 114/17*g = 0. What is g?
1, 14
Let h = 193 - 185. Let j be 16/h + (1 - 17/6). Let -1/6*l + j*l**2 + 0 = 0. Calculate l.
0, 1
Let o = 58 + 93. Let z = 155 - o. Let -24*a**2 - 3*a**z + 0*a**4 + 16*a**3 - 303 - 18*a + 330 + 2*a**3 = 0. Calculate a.
-1, 1, 3
Suppose 5*d = -3*f + 101, 3*d - 21*f + 17*f - 78 = 0. Factor -4*i**2 + d - 40*i - 43 - 60 + 32 - 51.
-4*(i + 5)**2
Let z = 909/7 + -154523/1190. Let d(y) be the second derivative of 2/17*y**2 + z*y**5 - 1/51*y**3 + 0 - 1/51*y**4 - 21*y. Factor d(i).
2*(i - 2)*(i - 1)*(i + 1)/17
Suppose -465*u + 36 = -2*b - 468*u, 4*b - 24 = 2*u. Determine c, given that b + 0*c - 166/5*c**4 + 56/5*c**5 - 2*c**3 + 12/5*c**2 = 0.
-2/7, 0, 1/4, 3
Let t(d) be the third derivative of -2*d**3 + 0*d - 1/3*d**5 - 1/30*d**6 - 7/6*d**4 - 90*d**2 + 0. Find a such that t(a) = 0.
-3, -1
Let j = -30 - -34. Factor -16 + 2*n**3 + 40 + 6*n**2 - 3*n**5 - 15*n**j - 15*n**4 + 51*n - 50*n**3.
-3*(n - 1)*(n + 1)**3*(n + 8)
Let o(i) be the second derivative of -5*i**7/42 - 4*i**6/3 - 2*i**5 + 125*i**4/6 + 95*i**3/2 - 225*i**2 - 2*i + 132. Determine g, given that o(g) = 0.
-5, -3, 1, 2
Let s(q) be the first derivative of q**4/3 + 56*q**3/9 + 86*q**2/3 + 40*q + 438. Solve s(j) = 0.
-10, -3, -1
Let c be 33/(-77) + 2 - 18/(-42). Factor -72 + 96*b - 44*b**c + 8*b**3 - 1/2*b**4.
-(b - 6)**2*(b - 2)**2/2
Let y = -9 + 20. Solve 0*w + w + 7*w**4 + 10*w**2 + y*w**3 - 3*w**4 - 1 - w**2 = 0 for w.
-1, 1/4
Let r = 668 + -648. Let d be (80/r)/((-2 + 170)/4). Let 0*b + d*b**4 - 4/21*b**2 + 0 - 2/21*b**3 = 0. What is b?
-1, 0, 2
Suppose 0*f + 2*f = -2*k - 44, -44 = 2*k + 4*f. Let m = 24 + k. Factor 4*b**m + 24*b**3 + 0*b**4 - 32*b**2 + 4*b**4.
4*b**2*(b - 1)*(b + 7)
Let w(a) = 20*a**2 + 22 + 6*a - a + 2*a. Let b(d) = 11*d**2 + 4*d + 12. Let j(f) = -11*b(f) + 6*w(f). Solve j(n) = 0.
-2, 0
Factor -1458/7*o - 54/7*o**3 + 486/7*o**2 + 0 + 2/7*o**4.
2*o*(o - 9)**3/7
Let y(v) = v**3 - 5*v**2 - 6*v + 4. Let g be y(6). Let m be (-4)/11 + (-2990)/(-1265). Factor -2*a**2 + a + a - 2*a**3 + m*a**g + 0*a**4.
2*a*(a - 1)**2*(a + 1)
Let u(f) be the third derivative of f**5/140 + 507*f**4/28 + 257049*f**3/14 - 8*f**2 + 4*f. Factor u(g).
3*(g + 507)**2/7
Suppose 17*g + 945 = 4345. Let o be ((-5)/(-2))/(2750/g). Factor o + 2/11*u**2 + 4/11*u.
2*(u + 1)**2/11
Let o(z) be the second derivative of -1/15*z**6 + z**3 + 11/30*z**5 + 13 - 3*z - 5/6*z**4 - 2/3*z**2. Factor o(n).
-2*(n - 1)**3*(3*n - 2)/3
Let f be (-7 - -7)*(-2)/(-6). Let d(m) be the second derivative of f - 1/10*m**6 + 0*m**2 + 1/2*m**4 - 3/20*m**5 + m + 0*m**3. Factor d(a).
-3*a**2*(a - 1)*(a + 2)
Let p(j) be the second derivative of j**6/75 + 21*j**5/50 - 2*j**4/15 - 28*j**3/5 - 90*j - 3. Factor p(h).
2*h*(h - 2)*(h + 2)*(h + 21)/5
Suppose -48*s + 85 + 5 + 54 = 0. Determine w so that 3/7*w**s + 0 - 3/7*w**2 - 6/7*w = 0.
-1, 0, 2
Solve 269378/7 + 1468/7*r + 2/7*r**2 = 0 for r.
-367
Let q = -217917/11 - -19815. Solve -2/11*l**2 + q - 10/11*l = 0 for l.
-8, 3
Let k be 4260/2059 + (-2)/29. Let b(c) be the third derivative of 0 + 1/300*c**5 + 0*c - 1/120*c**4 + 0*c**3 + 13*c**k. Factor b(u).
u*(u - 1)/5
Suppose 1368*p + 14 - 2750 = 0. Find n such that -65/3*n**p + 115/3*n - 50/3 = 0.
10/13, 1
Let c(x) = -6*x**3 + 14*x**2 + 4*x - 16. Let j(s) = s - 6 - 3 - s**3 + 3*s**2 - 2 + 8. Let k(w) = -3*c(w) + 16*j(w). Determine y, giv