.
-1/3, 1, 2
Let p(s) be the third derivative of -s**7/525 + 53*s**6/300 + 57*s**5/25 + 35*s**4/3 + 472*s**3/15 - 1884*s**2 + s. What is w in p(w) = 0?
-2, 59
Let l(b) = -b**3 + 15*b**2 - 251*b + 203. Let j(i) = -i**2 - 1. Let x(y) = 34*j(y) - 2*l(y). Factor x(v).
2*(v - 20)*(v - 11)*(v - 1)
Let f(s) be the third derivative of s**6/180 + 61*s**5/30 + 240*s**4 + 2700*s**3 + 18*s**2 - 36. Suppose f(h) = 0. Calculate h.
-90, -3
Let c(s) be the third derivative of 0*s + 1/12*s**4 - 1 + 11/180*s**5 + 0*s**3 - 1/630*s**7 + 1/90*s**6 + 13*s**2. Find w, given that c(w) = 0.
-1, 0, 6
Determine r so that -96*r + 5*r**3 + 406*r + 58413*r**2 - 58728*r**2 = 0.
0, 1, 62
Let d(g) be the first derivative of -g**3 - 138*g**2 - 273*g + 430. Let d(a) = 0. What is a?
-91, -1
Let i(n) be the first derivative of -n**7/210 + 7*n**6/120 + 2*n**5/15 - 143*n**2/2 - 211. Let a(q) be the second derivative of i(q). Factor a(p).
-p**2*(p - 8)*(p + 1)
Let j(m) be the third derivative of 0*m**3 + 1/40*m**6 + 1/20*m**5 - 1/70*m**7 + 0 + 39*m**2 + 0*m - 1/8*m**4. Solve j(v) = 0 for v.
-1, 0, 1
Let r = -16570 + 16572. Let v(t) be the second derivative of -8/15*t**6 + 0*t**4 + 0*t**3 + 0 + 0*t**r - 15*t - 1/5*t**5. Factor v(w).
-4*w**3*(4*w + 1)
Let c be 3*(-5 + (-74)/3). Let j = -80 - c. Let 24*b**4 - 21*b**3 - 39*b**3 + 18*b**4 - j*b**5 + 24*b**2 = 0. What is b?
0, 2/3, 2
Factor 5328/5*c + 21/5*c**2 - 1524/5.
3*(c + 254)*(7*c - 2)/5
Let c(n) be the second derivative of 3*n**5/80 + 3*n**4/8 - 91*n**3/8 + 2906*n. Factor c(h).
3*h*(h - 7)*(h + 13)/4
Solve 13/2*g + 165/4 + 1/4*g**2 = 0 for g.
-15, -11
Let l = 174 + -171. Determine w so that -l*w**4 - 24*w + 3*w**4 + 9 + 18*w**2 + 0*w**4 - 3*w**4 = 0.
-3, 1
Let l(i) = i**3 + 38*i**2 + 613*i - 572. Let b(v) = 4*v**3 + 114*v**2 + 1839*v - 1677. Let j(f) = -4*b(f) + 14*l(f). Factor j(y).
-2*(y - 50)*(y - 1)*(y + 13)
Let w = 222/59 - 4889/531. Let o = -89/18 - w. Factor -o*i**2 + 3/2*i + 0.
-i*(i - 3)/2
Let t(j) = j**3 + 15*j**2 + 34*j - 43. Let r be t(-15). Let n = 555 + r. Factor 0 + 75/4*l**4 - 15/2*l**3 + 0*l + l**n - 125/8*l**5.
-l**2*(5*l - 2)**3/8
Let r(o) = 3*o + 20. Let k be r(-6). Suppose 0*d - 1584 = -4*y - 2*d, k*d + 1174 = 3*y. Determine g so that 0*g - y + 394 - 21*g**3 - 30*g**2 - 9*g = 0.
-1, -3/7, 0
Solve -1/6*b**2 + 271/3*b - 73441/6 = 0 for b.
271
Let n(y) be the second derivative of -1/56*y**7 - 1/8*y**4 + 3/40*y**5 + 1/40*y**6 + 3/8*y**2 - 1/8*y**3 - 29*y + 0. Factor n(t).
-3*(t - 1)**3*(t + 1)**2/4
Suppose -69*k - 60 = -59*k. Let f(h) be the first derivative of h**3/3 - h**2/2 + 3. Let g(q) = 8*q**2 - 6*q. Let w(t) = k*f(t) + g(t). Solve w(c) = 0.
0
Let v be (-1)/(2*(-6)/5424). Suppose 414 + 3418 + 5*c**2 + 260*c - v = 0. Calculate c.
-26
Let q be (4 + -2)/(-10)*-35. Suppose -q*y = -y - 30. Determine u, given that 31 - 5*u**3 - 21 + y*u + 10*u = 0.
-1, 2
Let k(b) be the second derivative of -b**7/252 + b**6/144 + b**5/36 - 5*b**2/2 + b + 19. Let w(x) be the first derivative of k(x). Find s, given that w(s) = 0.
-1, 0, 2
Let i(h) be the second derivative of h - 1/5*h**5 - 5/189*h**7 + 23/27*h**3 + 8/27*h**4 + 2/3*h**2 + 3 - 22/135*h**6. Determine x, given that i(x) = 0.
-3, -1, -2/5, 1
Let f(v) be the first derivative of 96 - 1/9*v**3 - 6*v - 3/2*v**2. Factor f(i).
-(i + 3)*(i + 6)/3
Suppose 9*w - 36 = -18. Determine r so that 5 + 3*r - 4 + r + 4*r**w - 9 = 0.
-2, 1
Let b(d) = 9*d**3 + 52*d**2 + 207*d + 139. Let w(t) = 13*t**3 + 78*t**2 + 309*t + 209. Suppose -3*f = 18 - 39. Let q(h) = f*b(h) - 5*w(h). Factor q(g).
-2*(g + 1)*(g + 6)**2
Let z(c) be the first derivative of -15 - 16*c**2 - 1/10*c**4 - 46/15*c**3 - 152/5*c. Factor z(x).
-2*(x + 2)**2*(x + 19)/5
Solve 28/9*f - 98/9*f**2 + 10/9 + 20/3*f**3 = 0.
-1/5, 5/6, 1
Let k be (2/66*-6)/(78/(-286)). Determine l, given that 1/2*l**2 + k - 1/6*l**4 + 4/3*l - 1/3*l**3 = 0.
-2, -1, 2
Let 1/3*x**2 + 78732 + 324*x = 0. What is x?
-486
Suppose -10 = 4*o - 18. Factor -9 + 0*r - 11*r**o + 10*r**2 + 13 + 3*r.
-(r - 4)*(r + 1)
Let h(i) be the second derivative of -i**5/10 - 16*i**4 + 132*i**3 - 400*i**2 - 3676*i + 1. Factor h(m).
-2*(m - 2)**2*(m + 100)
Find u, given that -121*u**2 - 1239*u - 3*u**3 - 2617 - 288 - 917 + u**2 = 0.
-26, -7
Suppose -8*r + 4949 = 237. Let t = r - 587. Factor 1/6*l**t + 0 + 0*l.
l**2/6
Let n = -204 - -208. Let m be (-3 - 4) + 7 + n. Find j such that 0 + 1/2*j**m + 0*j + 0*j**2 + 1/4*j**3 + 1/4*j**5 = 0.
-1, 0
Factor 0 - 12*g + 56/3*g**3 + 10/3*g**4 + 22*g**2.
2*g*(g + 3)**2*(5*g - 2)/3
Let x = 37283/5180 + 13/5180. Suppose -2/15*b**2 - x*b - 486/5 = 0. Calculate b.
-27
Let g(s) be the third derivative of s**5/12 + 515*s**4/24 - 1925*s**3/3 - 5*s**2 - 93*s + 1. What is a in g(a) = 0?
-110, 7
Let n(v) be the third derivative of v**6/960 + 403*v**5/480 - 203*v**4/24 + 407*v**3/12 - 6*v**2 + 30*v + 1. Let n(s) = 0. Calculate s.
-407, 2
Let n be 4/34 - (-19)/((-969)/33258). Let g = 654 + n. Let -4*p - 34/7*p**g + 16/7 + 10/7*p**3 = 0. Calculate p.
-1, 2/5, 4
Let v be 21*19/399*4/(-6)*-6. Let o(s) be the second derivative of 0 - s**3 + 5/6*s**v + 6*s + 0*s**2 + 1/5*s**5. Find f, given that o(f) = 0.
-3, 0, 1/2
Let y(h) be the second derivative of 3*h**7/98 - 29*h**6/35 + 51*h**5/140 + 19*h**4/14 - 8562*h. Suppose y(f) = 0. Calculate f.
-2/3, 0, 1, 19
Let f(s) be the second derivative of -2*s**3 + 9/2*s**2 + 1/4*s**4 - 63 - 2*s. Factor f(p).
3*(p - 3)*(p - 1)
Let x(c) be the first derivative of 280/9*c**3 - 8/3*c**2 - 51 - 247/3*c**4 - 722/5*c**5 + 0*c. Let x(b) = 0. What is b?
-2/3, 0, 2/19
Let i(w) be the first derivative of 8/3*w**3 + 17 + 9/2*w + 3/16*w**4 + 47/8*w**2. Factor i(o).
(o + 1)*(o + 9)*(3*o + 2)/4
Let a(q) be the second derivative of -q**4/60 + 577*q**3/30 - 115*q**2 - 2556*q - 1. Find y such that a(y) = 0.
2, 575
Let d be (4/(-6) + 512/12)*1. Let v = d - 27. Factor -2*j**3 - v + 9 - 6*j**2 + 14.
-2*(j - 1)*(j + 2)**2
Let m(g) be the second derivative of g**4/16 - 69*g**3/8 + 405*g**2 - g + 576. Factor m(s).
3*(s - 45)*(s - 24)/4
Suppose 0*x = t + x - 608, 0 = -3*x + 3. Let 21*f**2 - 9*f + 615*f**3 - 1237*f**3 + t*f**3 + 3*f**4 = 0. Calculate f.
0, 1, 3
Let y(i) = i**2 + i. Let c(m) = -6*m**2 - 4*m + 1. Let x(r) = -c(r) - 5*y(r). Let l(p) = 3*p**2 - 19*p + 39. Let u(z) = l(z) - x(z). Factor u(g).
2*(g - 5)*(g - 4)
Let f = 12533/6 - 6257/3. Factor -2/3*m**4 - 11/6*m**2 + 0 + 2/3*m - f*m**3.
-m*(m + 1)*(m + 4)*(4*m - 1)/6
Let u be (6/17)/((-41220)/(-77860)). Factor u + 2/3*t**3 - 2/3*t - 2/3*t**2.
2*(t - 1)**2*(t + 1)/3
Let k(g) be the second derivative of g**4/6 - 775*g**3/3 + 774*g**2 - 1733*g - 1. Factor k(l).
2*(l - 774)*(l - 1)
Let j(p) be the third derivative of -1/672*p**8 + 0*p**4 - 2*p**2 + 0*p**5 + 0*p - 102 + 0*p**3 - 1/30*p**6 + 3/140*p**7. Let j(u) = 0. What is u?
0, 1, 8
Let y(p) = p**2 - 18*p - 40. Let b be y(20). Suppose -5*h + 4*n + 23 = -2*h, 5*n = -25. Suppose q - h + b*q**3 + q**3 + 1 + 2*q**2 = 0. What is q?
-1, 0
Let x = -159 + 177. Let z(y) = -y**3 + y**2 - 2*y - 1. Let q(k) = 15*k**3 + 24*k**2 - 144*k + 234. Let i(c) = x*z(c) + q(c). Factor i(p).
-3*(p - 6)**2*(p - 2)
Solve 73*a**5 + 64*a**3 - 9 - 40*a - 39 - 4*a**4 - 75*a**5 - 46*a**3 + 28*a**2 = 0 for a.
-3, -2, -1, 2
Suppose -2/11*f**3 + 360/11 + 60/11*f**2 - 38*f = 0. Calculate f.
1, 9, 20
Let v(o) be the first derivative of -5*o**3/12 - 1085*o**2/8 + 1095*o/2 + 8053. What is s in v(s) = 0?
-219, 2
Let m(r) be the second derivative of -2/21*r**4 + 0*r**3 + 0 + 0*r**2 - 64*r + 2/35*r**5 + 1/35*r**6. Factor m(w).
2*w**2*(w + 2)*(3*w - 2)/7
Let h(x) be the second derivative of -x**4/48 + 16*x**3 + 538*x. Determine v, given that h(v) = 0.
0, 384
Let j(y) = 5*y**2 + 30072*y + 45180054. Let x(v) = -25*v**2 - 150358*v - 225900291. Let k(u) = -29*j(u) - 6*x(u). Factor k(w).
5*(w + 3006)**2
Suppose -48*h + 273*h - 1124 = -56*h. Let q(t) be the third derivative of 1/120*t**6 + 0*t - 1/24*t**h + 6*t**2 - 1/2*t**3 + 1/20*t**5 + 0. Factor q(a).
(a - 1)*(a + 1)*(a + 3)
Suppose 5*j - 70968 = 41642. Suppose -2*p**3 - j + 22522 - 2*p - 4*p**2 = 0. What is p?
-1, 0
What is z in -400*z**2 - 5/3*z**3 - 2355*z - 3510 = 0?
-234, -3
Let m(v) = -9*v + 329. Let x(l) = -9*l + 328. Let s(c) = 6*m(c) - 7*x(c). Let j be s(36). Determine p, given that 0 - 1/4*p**j - 1/2*p = 0.
-2, 0
Fac