 + 1/4*m**3 + 15875/4*m + 16129/4 = 0. What is m?
-1, 127
Let r(k) be the third derivative of k**5/15 + 879*k**4 + 4635846*k**3 - 21*k**2 - 2*k + 8. Factor r(o).
4*(o + 2637)**2
Let t = 548 - 544. Factor -20*w + 19*w**2 + 218 - 3*w**2 - t*w**3 - 210.
-4*(w - 2)*(w - 1)**2
Let j be 94*2*(-6)/160*4. Let r = j - -569/20. Determine n, given that -7/2*n**3 + 1/4*n - 11/4*n**4 - 3/2*n**2 + r - 3/4*n**5 = 0.
-1, 1/3
Let o(g) be the third derivative of -g**5/90 + 137*g**4/6 - 18769*g**3 - 296*g**2. Let o(x) = 0. What is x?
411
Let o(y) be the third derivative of -y**5/12 + 440*y**4/3 - 2*y**2 - y - 424. Determine t so that o(t) = 0.
0, 704
Let n(k) be the third derivative of 8*k**2 + 0 - 4*k + 25/36*k**3 - 1/40*k**5 - 5/48*k**4 - 1/720*k**6. Solve n(p) = 0 for p.
-5, 1
Factor 3170003 + 0*y**2 - 8110787 + 6826*y - 6707785 - y**2.
-(y - 3413)**2
Let g(t) = 137*t - 1370. Let s be g(10). Let w(k) be the third derivative of 0*k + 2*k**2 + 1/42*k**4 - 1/420*k**5 - 1/14*k**3 + s. Factor w(f).
-(f - 3)*(f - 1)/7
Factor 0 - 81/2*q**2 - 1/4*q**3 - 477/4*q.
-q*(q + 3)*(q + 159)/4
Let v = 226 + -174. Let 44*j**3 + 5 + 35*j**2 - 86*j**2 + v*j - 41*j**2 - 9 = 0. Calculate j.
1/11, 1
Let d = -2/9693 - -29119/193860. Let k(j) be the third derivative of -1/100*j**6 + 0*j - 1/15*j**5 - 2/15*j**3 + 0 - d*j**4 - 25*j**2. Solve k(h) = 0.
-2, -1, -1/3
Suppose 20*l - 14245 = -35*l. Suppose -241*v - 36 = -l*v. Factor -640/3*n**3 + 80/3*n**v - 5/6*n + 0.
-5*n*(16*n - 1)**2/6
Factor -2/5 + 2/5*n**2 + 209/5*n - 209/5*n**3.
-(n - 1)*(n + 1)*(209*n - 2)/5
Let o = 1477 + -1478. Let z be 216/63*o/(-3). Determine q, given that -10/7*q**3 + 0 + 2/7*q**4 + 16/7*q**2 - z*q = 0.
0, 1, 2
Let -12288 - 128*y - 1/3*y**2 = 0. Calculate y.
-192
Factor -65*y + 2 - 40*y**2 - 32 - 1457*y**3 - 1458*y**3 + 2910*y**3.
-5*(y + 1)**2*(y + 6)
Let y = 21362 + -21357. Suppose 9/5*d**4 - 4*d**2 + 0 + 0*d + 12/5*d**3 - 1/5*d**y = 0. What is d?
-2, 0, 1, 10
Let l(a) = -a**3 + 50*a**2 + 9. Let t be l(50). Factor -45*x - 6 - 5*x**2 + 17 + 30*x + t.
-5*(x - 1)*(x + 4)
Let a(z) be the second derivative of -z**5/90 - 55*z**4/54 - 68*z**3/9 - 2*z - 175. Find y, given that a(y) = 0.
-51, -4, 0
Let b be (-14 - -602)*84/378. Suppose -112*a + b - 18*a**2 - 2/3*a**3 = 0. What is a?
-14, 1
Let j(o) be the third derivative of -2*o**2 + 5/42*o**8 - 4/15*o**5 + 7/10*o**6 + 52*o + 62/105*o**7 + 0*o**3 - 2/3*o**4 + 0. Find c, given that j(c) = 0.
-2, -1, -1/2, 0, 2/5
Find s, given that 84*s**2 - 21*s**4 + 0*s**4 - 1091*s**5 - 72*s + 0*s**4 + 174*s**3 + 1052*s**5 = 0.
-2, -1, 0, 6/13, 2
Let m be 1308/(-48) + 32 - (4 + 34/(-8)). Factor -8/3*d**3 - 4/3*d**2 + 4/3 + 0*d**4 + 2/3*d**m + 2*d.
2*(d - 2)*(d - 1)*(d + 1)**3/3
Let x(r) be the third derivative of -r**6/3 - 125*r**5/6 - 305*r**4/24 + 155*r**3/6 - r**2 - 1106. Let x(i) = 0. Calculate i.
-31, -1/2, 1/4
Let d(p) be the second derivative of 3*p**5/20 - 103*p**4/2 - 208*p**3 - 2085*p. Solve d(g) = 0 for g.
-2, 0, 208
Let g(b) be the first derivative of 1/48*b**4 - 37 - 5/4*b**2 - 1/8*b**3 - 48*b. Let h(c) be the first derivative of g(c). Factor h(o).
(o - 5)*(o + 2)/4
Suppose -2*j + 5*n = -5*j + 37, 3*n = -3*j + 39. Let f be ((-8)/j)/((4/(-14))/2). Factor 19 - 4 - 15 + f*c**2.
4*c**2
Suppose 12*n - 10 = 8*n + 2*c, -14 = -3*n - 5*c. Factor 25*w**2 + 5*w**2 + 63*w - 81 - 3*w**n - 9*w**2.
-3*(w - 9)*(w - 1)*(w + 3)
Let s(n) be the first derivative of -2*n**3/27 + 25*n**2/9 + 124*n/3 - 4488. Determine y so that s(y) = 0.
-6, 31
Let r = -621710/7 + 88817. Let 0*y**2 + 0*y + r*y**3 - 1/7*y**4 + 0 = 0. Calculate y.
0, 9
Let 2/3*a**4 + 0 + 0*a + 239432/3*a**2 - 1384/3*a**3 = 0. Calculate a.
0, 346
Let a(d) be the second derivative of -d**5/4 + 470*d**4/3 + 1970*d. Suppose a(y) = 0. Calculate y.
0, 376
Let p(i) be the third derivative of -i**5/12 - 9445*i**4/12 - 17841605*i**3/6 - 12*i**2 + 2*i - 327. Let p(z) = 0. Calculate z.
-1889
Let b(h) = 19*h**5 - 26*h**4 - 766*h**3 + 2693*h**2. Let n(j) = 6*j**5 - 8*j**4 - 256*j**3 + 898*j**2. Let f(l) = 2*b(l) - 7*n(l). Factor f(g).
-4*g**2*(g - 5)**2*(g + 9)
Let v(g) = 432*g - 6908. Let i be v(16). Let k(o) be the first derivative of 0*o**5 + 0*o + 0*o**i + 0*o**3 + 0*o**2 + 34 - 5/6*o**6. Factor k(t).
-5*t**5
Factor 178/3*i**3 + 0*i + 0*i**2 - 1/3*i**4 + 0.
-i**3*(i - 178)/3
Factor 2096 - 24192*p + 21052*p + 8*p**2 - 528.
4*(p - 392)*(2*p - 1)
Factor 610*r + 179 + 436 - 585*r**2 + 580*r**2.
-5*(r - 123)*(r + 1)
Suppose 0 = -5*p + 10*p - 2*z - 160, -4*z = 20. Solve p*b**3 + 5*b**3 + b**2 + 2*b**2 - 2*b + 9*b**5 + 5*b**3 - 19*b**3 + 25*b**4 = 0.
-1, 0, 2/9
Let m be (-18)/108*(-3)/20*(-30)/(-36). Let a(p) be the third derivative of -m*p**5 + 0 + 5/8*p**3 + 0*p - 8*p**2 + 5/48*p**4. Suppose a(k) = 0. What is k?
-1, 3
Let n(p) = 5*p**2 - 38*p + 31. Let l(q) = q**2 - 2*q - 1. Let r(h) = l(h) - n(h). Suppose r(u) = 0. What is u?
1, 8
Let k(o) be the second derivative of -o**5/90 + o**4/54 + 16*o**3/27 - 16*o**2/9 - 6138*o. Suppose k(n) = 0. Calculate n.
-4, 1, 4
Suppose -2*d = 4*d - 234. Solve 3*k**2 - 10 + 34 + 18 + d*k + 42 - 18 = 0.
-11, -2
Let k be (-2225)/(-700) - (-2)/((-72)/(-9)). Factor -22/7*s**4 + 18/7*s**2 + 0 + k*s**3 + 0*s + 4/7*s**5.
2*s**2*(s - 3)**2*(2*s + 1)/7
Let q = 484/1645 - 2/235. Let b(t) = -t + 5. Let c be b(3). Factor -q*u**4 - 8/7*u + 2/7*u**3 + 0 + 8/7*u**c.
-2*u*(u - 2)*(u - 1)*(u + 2)/7
Suppose -7*k = -10*k + 3*z - 15, -10 = -2*z. Let p(t) be the first derivative of 2/3*t**3 - 1/7*t**2 + 13 + k*t. Solve p(c) = 0 for c.
0, 1/7
Let t(i) be the second derivative of -i**7/7560 - i**6/160 + 7*i**5/360 - 7*i**4/4 - 3*i**2/2 + 46*i. Let a(r) be the third derivative of t(r). Factor a(x).
-(x + 14)*(2*x - 1)/6
Factor -864 - 24*t**2 - 3*t**3 + 68*t - 10*t**2 - 356*t + 100*t**2.
-3*(t - 12)**2*(t + 2)
Let t(v) be the third derivative of -v**7/11340 + 23*v**6/1620 - v**5/12 + 29*v**4/4 - 159*v**2. Let c(u) be the second derivative of t(u). Factor c(o).
-2*(o - 45)*(o - 1)/9
Let g(h) be the first derivative of -h**7/14 - 11*h**6/12 - 37*h**5/12 - 25*h**4/12 + h**2 + 20*h - 83. Let r(x) be the second derivative of g(x). Factor r(j).
-5*j*(j + 2)*(j + 5)*(3*j + 1)
Factor 1/6*g**2 + 145*g + 63075/2.
(g + 435)**2/6
Let f(k) = 12*k**2 + 20*k + 27. Let q = 66 + -60. Let m(x) = -11*x**2 - 20*x - 26. Let y(a) = q*f(a) + 7*m(a). What is u in y(u) = 0?
-2
Let b(x) = -2*x**2 + 45*x - 97. Let i be b(20). Let v be 17/(850/330) - i. Determine z so that 27/5 - v*z + 3/5*z**2 = 0.
3
Determine g, given that 48*g - 530/11 + 2/11*g**2 = 0.
-265, 1
Let p(x) be the second derivative of -x**4/4 - 7*x**3 - 135*x**2/2 + 657*x. Factor p(s).
-3*(s + 5)*(s + 9)
Let k(d) = 7*d**3 - 6775*d**2 + 483929*d - 477161. Let q(j) = -j**3 + 1129*j**2 - 80655*j + 79527. Let r(p) = 3*k(p) + 17*q(p). What is w in r(w) = 0?
1, 141
Let p(c) = -c + 1. Let i(a) = -2*a**2 + 14*a + 20. Suppose 9*j + 10*j = -38. Let t(z) = j*p(z) + i(z). Factor t(d).
-2*(d - 9)*(d + 1)
Let w(v) = 7*v + 18. Let b(n) = -n. Let s(q) = -4*b(q) - w(q). Let j be s(-7). Factor 2*t**3 + 11*t**4 - 245*t**5 + 4*t**2 + 249*t**5 - t**2 + 8*t**j.
t**2*(t + 1)**2*(4*t + 3)
Let b = 119 + -97. Let w(l) = l**4 - l**2 + l - 2. Let a(m) = 13*m**4 - 2*m**3 - 13*m**2 + 13*m - 22. Let r(n) = b*w(n) - 2*a(n). Factor r(h).
-4*h*(h - 1)**2*(h + 1)
Let q(i) be the third derivative of 9/40*i**6 + 0 - 30*i + 27/4*i**4 + i**2 + 79/20*i**5 - 8*i**3. Factor q(w).
3*(w + 1)*(w + 8)*(9*w - 2)
Let r(n) = -n**2 + 26*n + 155. Let u be r(31). Let v = 173 + -171. What is g in u*g + 0 - 2/9*g**v = 0?
0
Solve 405 + 3/4*d**2 - 204*d = 0.
2, 270
Let s(o) be the first derivative of -o**5/5 + 173*o**4/12 - 737*o**3/9 - 265*o**2/6 - 3775. Let s(g) = 0. Calculate g.
-1/3, 0, 5, 53
Let f = 6674 + -26681/4. Let x(a) be the first derivative of 40/3*a**3 - 13 + 35/2*a**2 + 10*a + f*a**4. Solve x(y) = 0 for y.
-1, -2/3
Factor -5202*j + 14432*j**2 + 9*j**5 - 4426*j + 10*j**5 - 14*j**5 + 2408 - j**5 - 9608*j**3 + 2392*j**4.
4*(j - 1)**4*(j + 602)
Determine l, given that -16/9*l**3 + 14/9*l**2 + 32/3 - 2/9*l**4 + 124/9*l = 0.
-8, -2, -1, 3
Let y be (26 + -23)/((-2)/(-6)). Suppose y*a + a = 240. Factor -33*b + 2 - 10*b**3 + 11*b - b**4 - 9 - a*b**2.
-(b + 1)**3*(b + 7)
Let h(y) be the first derivative of 0*y - 10/3*y**3 + 9/10*y**4 + 12 - 6/