)*(l + 2)/5
Let w(k) be the third derivative of -k**7/70 + k**6/4 + 3*k**5/20 - 4*k**4 + 10*k**3 - 4*k**2 + 321*k. Find r, given that w(r) = 0.
-2, 1, 10
Solve -189/8*r**3 + 0*r - 1/8*r**5 + 0 - 15/4*r**4 + 0*r**2 = 0 for r.
-21, -9, 0
Suppose -5*l = -o - 607, 0 = -o + 24*l - 22*l - 616. Let d = -619 - o. Factor 25/3*z**2 + 5*z + 0 + 5/3*z**d - 5/3*z**4.
-5*z*(z - 3)*(z + 1)**2/3
Let h(r) be the second derivative of -13*r**6/165 + 71*r**5/110 - 67*r**4/33 + 100*r**3/33 - 24*r**2/11 + 1028*r. Suppose h(g) = 0. Calculate g.
6/13, 1, 2
Let n = -172 - -176. Let z = 328 - 982/3. What is d in 2/9*d**5 - 4/9*d**2 + 0*d**n - z*d**3 + 0*d + 0 = 0?
-1, 0, 2
Let x = 62610493/175 + -357773. Let f = x + -24/25. Factor 6/7*l + 0 + f*l**2.
2*l*(l + 3)/7
Let y(w) = -w - 2. Let h be y(-4). Factor 30*m + 4*m**4 + 55*m**3 + 0*m**2 - 67*m**3 - 21*m**h - m**4.
3*m*(m - 5)*(m - 1)*(m + 2)
Let p = -3277 + 3277. Let j(w) be the third derivative of 0*w - 5/12*w**4 + p*w**3 + 0 + 0*w**6 - w**2 - 1/42*w**7 + 1/4*w**5. Solve j(i) = 0.
-2, 0, 1
Let g(k) be the second derivative of k**6/5 - 153*k**5/20 + 6*k**4 + 25*k**3/2 - 3*k + 500. Suppose g(a) = 0. Calculate a.
-1/2, 0, 1, 25
Let l(u) be the second derivative of 2*u + 0*u**2 - 3/2*u**3 - 14 + 3/4*u**5 - 7/2*u**4. Determine w, given that l(w) = 0.
-1/5, 0, 3
Suppose 0 = 3*f + v - 13, 4*f - 5*v + 14 = 2*f. Let o(u) = u**2 - 43*u + 505. Let l be o(26). Factor -138 - l*b + f*b - 42 - 5*b**2.
-5*(b + 6)**2
Factor -3760/7*g**4 - 244224/7*g**2 + 100/7*g**5 - 110592/7 + 304128/7*g + 49024/7*g**3.
4*(g - 12)**3*(5*g - 4)**2/7
Let v(p) = 98*p - 188. Let a be v(2). Let u(r) be the first derivative of a - 84*r**2 - 4*r**4 + 100/3*r**3 + 36*r. What is q in u(q) = 0?
1/4, 3
Let n(g) = -3*g**4 - 96*g**3 + 1894*g**2 - 21520*g + 89393. Let t(z) = z**4 + 6*z**3 - 2*z + 2. Let h(m) = n(m) + 4*t(m). Factor h(b).
(b - 23)**2*(b - 13)**2
Let r(f) be the third derivative of 7*f**4/8 - 52*f**3/3 - 6*f**2 + 4. Let l be r(5). Determine i, given that -1/2*i + 3/2*i**2 - 1/2*i**4 + 1/2*i**3 - l = 0.
-1, 1, 2
Let q be 0*5*(-23)/575. Let a(r) be the second derivative of 1/10*r**3 - 3/100*r**5 + 1/5*r**2 - 1/60*r**4 + q - 1/150*r**6 + 16*r. Factor a(u).
-(u - 1)*(u + 1)**2*(u + 2)/5
Let g(c) be the first derivative of c**4/78 + c**3/13 + 75*c - 1. Let x(d) be the first derivative of g(d). Find j, given that x(j) = 0.
-3, 0
Let y(v) be the first derivative of -68/5*v**2 - 93 - 16/5*v - 3/2*v**4 - 124/15*v**3. What is p in y(p) = 0?
-2, -2/15
Factor 15692*y**2 - 663 - 457*y + 1786*y - 16361*y**2 + 3*y**3.
3*(y - 221)*(y - 1)**2
Let o(k) be the second derivative of -4*k**6/165 - 23*k**5/110 - 5*k**4/11 + 3*k**3/11 - 703*k. Factor o(j).
-2*j*(j + 3)**2*(4*j - 1)/11
Let k = 68 + -63. Let s = -2 + k. Solve 5*x**2 - 53*x - 5 + 2*x**3 - s*x**3 + 54*x = 0 for x.
-1, 1, 5
Let h(s) = 3*s**3 - 7*s**2 - 66*s + 501. Let k(w) = 3*w**3 - 2*w**2 - 68*w + 500. Let z(u) = -4*h(u) + 3*k(u). Factor z(l).
-(l - 6)**2*(3*l + 14)
Let s = 5/1069 + 1039/6414. Let g(w) be the second derivative of 0 - 2/9*w**3 - s*w**4 + 12*w - 1/30*w**5 + 0*w**2. Find p such that g(p) = 0.
-2, -1, 0
Let o(y) be the third derivative of y**8/20160 + 37*y**7/5040 + 7*y**5/60 - 3*y**4/4 - 108*y**2. Let p(i) be the third derivative of o(i). Factor p(l).
l*(l + 37)
Let j(m) be the first derivative of -4/5*m**5 - 2*m**4 + 36*m**2 - 108*m + 16*m**3 - 71. Factor j(x).
-4*(x - 3)*(x - 1)*(x + 3)**2
Factor 279/10 - 28*x + 1/10*x**2.
(x - 279)*(x - 1)/10
Let c be 0/(-16 - (-58 - -43)). Factor 0*f + c*f**3 + 0 + 2/5*f**2 - 2/5*f**4.
-2*f**2*(f - 1)*(f + 1)/5
Let y = 4078/645 - -934/215. Solve -34*p**2 - 2/3*p**4 + 38/3*p**3 - y + 98/3*p = 0.
1, 16
Let g(h) = -5*h**3 - 3*h**2 + 4*h + 4. Suppose 416 = 6*u + 422. Let r be g(u). Find t such that 3*t + 3*t**3 - 1/2*t**4 - 11/2*t**r + 0 = 0.
0, 1, 2, 3
Suppose -14*q + 10*q = -3452. Find j such that -q + 549*j + 726*j + 165*j**2 + 5*j**3 - 582 = 0.
-17, 1
Let q(w) be the first derivative of 32*w - 4/3*w**3 - 59 - 14*w**2. Find c, given that q(c) = 0.
-8, 1
Let p(f) be the first derivative of -5*f**4/12 - 130*f**3/9 - 215*f**2/2 - 300*f + 50. Let p(d) = 0. Calculate d.
-20, -3
Let i(c) be the third derivative of c**5/15 + 7*c**4 + 82*c**3/3 + 1045*c**2 + 1. Factor i(w).
4*(w + 1)*(w + 41)
What is v in 40/9*v**2 + 64 + 2/9*v**3 + 88/3*v = 0?
-8, -6
Let x(n) be the first derivative of 3*n**5/5 - 105*n**4/4 + 99*n**3 - 291*n**2/2 + 96*n + 119. Find z such that x(z) = 0.
1, 32
Suppose 42*t + 3/2*t**2 - 87/2 = 0. What is t?
-29, 1
Let 4512/5*y**2 + 30744/5*y + 4/5*y**4 + 232/5*y**3 + 5292 = 0. Calculate y.
-21, -15, -1
What is y in -5625/4 - 1/4*y**2 - 75/2*y = 0?
-75
Suppose -1 = 5*o - 11. Let n(y) = -y**3 + 8*y**2 - 65*y + 406. Let x be n(7). Factor -21 + k**o - 4*k**2 + x*k**2 - 24*k.
-3*(k + 1)*(k + 7)
Let t(l) be the third derivative of -l**5/150 - l**4/15 - 4*l**3/15 + 2*l**2 + 161*l. Let t(v) = 0. Calculate v.
-2
Let j = -346 - -349. Solve 68*q**2 + 53*q**j + 64*q - 115*q**3 + 66*q**3 = 0 for q.
-16, -1, 0
Let i(v) be the second derivative of -v + 1/4*v**3 + 1/8*v**5 + 7/24*v**4 - 2 + 1/60*v**6 + 0*v**2. Let i(o) = 0. What is o?
-3, -1, 0
Factor 424*d**2 - 432*d**3 + 102040*d - 428 + 5*d**4 - d**4 - 101608*d.
4*(d - 107)*(d - 1)**2*(d + 1)
Let x(b) be the first derivative of 6*b**5/5 + 117*b**4/4 + 52*b**3 - 117*b**2/2 - 162*b - 3466. Solve x(f) = 0 for f.
-18, -3/2, -1, 1
Factor 522/11*a**2 + 1062/11*a - 647466/11 - 6/11*a**3.
-6*(a - 59)**2*(a + 31)/11
Let o(x) be the second derivative of -x**8/336 + x**7/42 - x**6/40 - x**5/12 + x**4/6 + 45*x**2 + x + 8. Let z(d) be the first derivative of o(d). Factor z(w).
-w*(w - 4)*(w - 1)**2*(w + 1)
Factor -36*d**4 + 3*d - 39*d**3 + 69*d - 37*d**2 + 4*d**5 + 155*d**3 - 119*d**2.
4*d*(d - 3)**2*(d - 2)*(d - 1)
Let h = 343 + -193. Suppose -5*c - 406 = -1136. Determine t, given that -h*t**3 - 3*t + 3*t + c*t**3 = 0.
0
Let c(v) be the third derivative of 4*v**2 - 1/180*v**6 + 0*v + 0*v**3 - 1/90*v**5 + 1 + 1/6*v**4. Suppose c(g) = 0. What is g?
-3, 0, 2
Let f(j) = 2*j**3 - 171*j**2 - 732*j + 1296. Let l(t) = 3*t**3 - 283*t**2 - 1098*t + 1944. Let n(d) = -8*f(d) + 5*l(d). Factor n(v).
-(v - 4)*(v - 3)*(v + 54)
Suppose 2*c = -c - 99. Let w be 19/44 + 6/c. Factor 3/4*v**2 + v - 1 - v**3 + w*v**4.
(v - 2)**2*(v - 1)*(v + 1)/4
Let p = 10/16349 + 3400502/147141. Factor -5408/9 + p*r - 2/9*r**2.
-2*(r - 52)**2/9
Let k(t) be the first derivative of t**4/22 - 160*t**3/33 - 164*t**2/11 - 2706. Factor k(u).
2*u*(u - 82)*(u + 2)/11
Let m(k) be the third derivative of -k**5/90 - 298*k**4/9 - 355216*k**3/9 + 3648*k**2. Factor m(t).
-2*(t + 596)**2/3
Let i be 0*(24/6 + -5). Suppose 0*f + 8*f - 16 = i. Factor 3/4*s + 0 + 1/4*s**f.
s*(s + 3)/4
Let a = 2523 - 2518. Let r(l) be the second derivative of 6*l + 0 - 1/60*l**a + 0*l**4 + 0*l**2 + 1/18*l**3. Determine z so that r(z) = 0.
-1, 0, 1
Let x(s) = -4*s**4 + s**3 + s**2 + s - 1. Let f(y) = 155*y**4 - 10*y**3 + 140*y**2 - 1120*y + 40. Let n(u) = f(u) + 40*x(u). What is v in n(v) = 0?
-6, 0, 6
Let v = -146176 + 146176. Factor 0*q - 8/9*q**2 + 0 + v*q**3 + 2/9*q**5 + 2/3*q**4.
2*q**2*(q - 1)*(q + 2)**2/9
Let g be 4/7 - (-144)/(-7). Let b(x) = x + 1. Let w(a) = 30*a**3 - 23*a**2 - 2*a - 4. Let m(s) = g*b(s) - 5*w(s). Let m(o) = 0. Calculate o.
0, 1/10, 2/3
Let r(w) = 57*w - 168. Let g be r(3). Let s(m) be the first derivative of 5*m**2 - 5/3*m**g + 0*m + 5. Factor s(j).
-5*j*(j - 2)
Find z, given that 18*z - 1/2*z**3 - 5/2*z**2 + 90 = 0.
-6, -5, 6
Let t(f) = -f**2 + 5*f + 4. Suppose z + 5*c + 40 = 4*z, 5 = 5*z + 4*c. Let v(a) = 27 + 17 + 20*a - 29 - z*a**2. Let g(p) = -18*t(p) + 4*v(p). Factor g(h).
-2*(h + 2)*(h + 3)
Let z(d) = 2*d**3 + d**2 - 10. Let o be z(0). Let t be ((-92)/10)/(2/o). Factor -9*v**3 + 24*v**2 - 5*v + 40 - t - 4*v.
-3*(v - 2)*(v - 1)*(3*v + 1)
Let g be ((-24)/(-18))/((-7)/((-84)/(-8))). Let t(i) = -i**3 + i**2. Let o(d) = 10*d**5 - 6*d**4 - 2*d**3 - 2*d**2. Let u(k) = g*o(k) - 4*t(k). Factor u(h).
-4*h**3*(h - 1)*(5*h + 2)
Let h(b) be the second derivative of -b**5/12 + 5*b**4/24 + 9*b**2 - 2*b + 6. Let q(n) be the first derivative of h(n). Suppose q(w) = 0. What is w?
0, 1
Let f(q) be the third derivative of q**8/336 + 71*q**7/1050 + 7*q**6/300 - 1419*q**2. Factor f