- 58*g = 7*j - 34, 4*g - 20 = -2*j. Factor 1/5*n**5 + 0 + 2/5*n**4 + 1/5*n**3 + 0*n**g + 0*n.
n**3*(n + 1)**2/5
Let g(z) = z**2 - 6*z - 16. Let j(n) = n**2 - 5*n - 14. Let i(o) = -13*g(o) + 14*j(o). Factor i(x).
(x + 2)*(x + 6)
Factor -1/3*d**3 + 13*d + 0*d**2 + 70/3.
-(d - 7)*(d + 2)*(d + 5)/3
Let l(h) be the first derivative of -h**4/14 - 14*h**3/3 - 366*h**2/7 + 1872*h/7 + 8673. Find t, given that l(t) = 0.
-39, -12, 2
Let g(y) be the first derivative of -9*y + 17/2*y**3 + 39/4*y**2 - 15/8*y**4 - 18 - 9/10*y**5. Find i, given that g(i) = 0.
-3, -1, 1/3, 2
Suppose -7*h = -4*h + 6. Let c be ((-65)/10)/(3/3)*h. Solve -34 + 12*b + 14 + c*b - 5*b**2 = 0 for b.
1, 4
Let h = -26709/2 + 13355. Factor 81/2*y**2 - 17/2*y**4 + 0*y + 0 + 63/2*y**3 + h*y**5.
y**2*(y - 9)**2*(y + 1)/2
Let w(n) = -2*n**3 - 12*n**2 - 9*n + 10. Let m be w(-5). Find o, given that o**3 + 17*o**5 - 8*o**m - 2*o**3 - 8*o**5 = 0.
-1, 0, 1
Let m(v) be the second derivative of -v**5/15 + 2*v**4/3 + 10*v**3/3 - 13*v**2 - 13*v - 2. Let w(b) be the first derivative of m(b). Factor w(a).
-4*(a - 5)*(a + 1)
Let p(u) = u**5 - 10*u**4 + 34*u**3 - 41*u**2 + 19*u. Let q(w) = w**3 + 3*w**2 - w. Let v(s) = -2*p(s) + 2*q(s). Suppose v(f) = 0. Calculate f.
0, 1, 2, 5
Let d(j) be the third derivative of -9*j**7/70 - 2919*j**6/40 + 1949*j**5/20 - 325*j**4/8 - 5663*j**2. What is t in d(t) = 0?
-325, 0, 1/3
Suppose -1928 = -5495*k + 5013*k. Factor -1/5*x**5 + 6/5*x**k + 0 + 0*x + 7/5*x**3 + 0*x**2.
-x**3*(x - 7)*(x + 1)/5
Let u = -153 - -98. Let n = u - -60. Factor 11*t**2 + 4*t**3 + 12*t + 10*t**2 - n*t**2 + 0*t**2.
4*t*(t + 1)*(t + 3)
Let t(u) = -713*u + 2855. Let d be t(4). Suppose 0*f**2 - 9/5*f + 1/5*f**d + 0 = 0. What is f?
-3, 0, 3
Let r = 423 + 1337. Solve -218 - 225*l**5 - 3460*l**2 - 189 - 1365*l**4 - r*l - 3160*l**3 + 87 = 0.
-2, -4/3, -1, -2/5
Let a(d) be the first derivative of 2*d**7/21 - 32*d**6/15 + 77*d**5/5 - 98*d**4/3 + 208*d - 18. Let y(k) be the first derivative of a(k). Factor y(b).
4*b**2*(b - 7)**2*(b - 2)
What is o in -1616/9*o - 2/9*o**2 + 1618/9 = 0?
-809, 1
Let v be (8/6)/(2/3). Factor -4 + 8561*c**v + 8*c - 8*c**3 - 8561*c**2 + 4*c**4.
4*(c - 1)**3*(c + 1)
Let o(x) be the first derivative of x**3/4 - 9*x**2 - 39*x + 1785. Factor o(b).
3*(b - 26)*(b + 2)/4
Let d(z) be the first derivative of 0*z - 6 - 12/5*z**2 + 0*z**3 + 3/10*z**4. Factor d(u).
6*u*(u - 2)*(u + 2)/5
Let b(f) be the first derivative of -f**6/360 + f**5/120 + f**4/2 + 54*f**3 + 149. Let s(p) be the third derivative of b(p). Find u such that s(u) = 0.
-3, 4
Suppose -8*i + 1109 + 16299 = 0. Solve 2128*d**2 + 3*d - 4421*d**2 + 114*d**3 + i*d**2 = 0.
0, 1/38, 1
Let p(j) be the second derivative of -3*j**5/20 - 5*j**4/4 + 153*j**3/2 + 3159*j**2/2 - 8348*j. Factor p(t).
-3*(t - 13)*(t + 9)**2
Let p(h) = -108*h - 678. Let v be p(-7). Let x be 5 - (122/26 + (-12)/v). What is t in -2/13*t**4 + 0*t + 2/13*t**2 - x*t**3 + 0 + 6/13*t**5 = 0?
-1, 0, 1/3, 1
Factor -48*p - 13*p - 30*p**3 - 10*p**2 + 33*p**3 - 10*p - 2*p**3 - 60.
(p - 15)*(p + 1)*(p + 4)
Let v(x) = -29*x**2 + 56*x + 80. Let o(b) = -2*b**2 - 3*b - 4. Let c(w) = -52*o(w) + 4*v(w). Factor c(j).
-4*(j - 33)*(3*j + 4)
Factor -4*g**3 - 47*g**2 - 7*g**3 - 20*g**3 - 17*g**3 - 5*g**4 + 4*g**4.
-g**2*(g + 1)*(g + 47)
Let b = 34219 + -34216. Let q(y) be the second derivative of -1/18*y**4 - 2*y + 0 - 16/3*y**2 - 8/9*y**b. Find l such that q(l) = 0.
-4
Let q = -235406 + 3060280/13. What is b in q*b**3 - 4/13*b**2 + 0 + 4/13*b**4 - 2/13*b**5 + 0*b = 0?
-1, 0, 1, 2
Suppose 0 = u + 4, -u + 0*u = 2*r + 12. Let b be 10 - (2 - (-24)/r) - 2. Factor 26 - 12*f + 2*f**2 - b - 5 + f**2.
3*(f - 3)*(f - 1)
Let d(v) = 2*v + 27. Let w be d(-12). Let j = -36 + 40. Factor 3*x**3 + 3*x**j + 58*x**2 + 0*x**w - 58*x**2.
3*x**3*(x + 1)
Let z(s) be the first derivative of -7*s**5/60 - s**4/4 + s**3/6 - s**2 - 19*s + 66. Let d(t) be the second derivative of z(t). Factor d(x).
-(x + 1)*(7*x - 1)
Let a(j) be the second derivative of -j**6/300 - j**5/25 + j**4/60 + 2*j**3/5 + 27*j**2 + 6*j. Let m(x) be the first derivative of a(x). Solve m(q) = 0.
-6, -1, 1
Let x(a) be the second derivative of -a**5/180 + a**4/6 + 13*a**3/18 - 28*a**2 + 94*a. Let j(m) be the first derivative of x(m). Solve j(f) = 0.
-1, 13
Let d(r) be the first derivative of 0*r**2 + 21/4*r**4 - 1/2*r**6 + 0*r + 0*r**5 - 6*r**3 - 18. Find u, given that d(u) = 0.
-3, 0, 1, 2
Let v(n) be the first derivative of 70 - 1/2*n**4 + 1/6*n**6 + 0*n**5 + 0*n**3 + 1/2*n**2 + 0*n. Suppose v(b) = 0. What is b?
-1, 0, 1
Let s = -108/41 - -689/246. Let x(l) be the second derivative of -1/3*l**2 - 11*l + 0 - 1/36*l**4 - s*l**3. Factor x(r).
-(r + 1)*(r + 2)/3
Determine x so that 0*x - 17/3*x**4 - 1/3*x**5 + 27*x**2 - 21*x**3 + 0 = 0.
-9, 0, 1
Let s be 2*((-178)/(-1))/(180/(-105)). Let n = s - -208. Find r, given that 2/3*r + 0 + 1/2*r**3 - 4/3*r**2 + n*r**4 - 1/6*r**5 = 0.
-2, 0, 1, 2
Let c be 12/(-54) + 14/(-18) + 1. Let b be 1/(-6) - ((-125)/30 - c). Factor -30*h**5 + 69*h**5 - 38*h**5 - b*h**3.
h**3*(h - 2)*(h + 2)
Let l(w) = 35*w**3 + 46*w**2 - 19*w + 16. Let g(k) = 8*k**3 + 11*k**2 - 5*k + 4. Let t(m) = 13*g(m) - 3*l(m). Factor t(h).
-(h - 2)**2*(h - 1)
Let h(t) be the second derivative of -1629*t**5/140 - t**4/42 + 2*t + 2125. Solve h(a) = 0 for a.
-2/1629, 0
Solve 135 - 1449/4*z - 251/2*z**3 - 1/4*z**5 + 336*z**2 + 17*z**4 = 0 for z.
1, 3, 60
Let i(l) be the third derivative of l**6/280 + l**5/10 - 17*l**4/14 + 36*l**3/7 - 2*l**2 + 53. Suppose i(u) = 0. What is u?
-18, 2
Let p(h) be the third derivative of h**8/336 + h**7/70 - h**6/24 - 9*h**5/20 - 4*h**4/3 - 2*h**3 - 4*h**2 + 521. Factor p(z).
(z - 3)*(z + 1)**2*(z + 2)**2
Let k(m) = m**2 + 2*m - 1. Let s be (0 + -35)*2/(-14). Let n(h) = -2*h**3 + h**2 + 28*h + 31. Let c(t) = s*k(t) - n(t). Determine u, given that c(u) = 0.
-3, -2, 3
Let v(p) be the third derivative of 0*p - 1/40*p**4 - 2 + 1/15*p**3 + 2*p**2 + 1/300*p**5. Factor v(n).
(n - 2)*(n - 1)/5
Let x(b) = 101*b**3 + 120*b**2 - 759*b - 9530. Let i(u) = -38*u**3 - 40*u**2 + 253*u + 3177. Let c(h) = -8*i(h) - 3*x(h). Factor c(p).
(p - 23)**2*(p + 6)
Let l(m) be the second derivative of 49*m**6/30 + 2527*m**5/20 + 2122*m**4/3 + 706*m**3 + 288*m**2 + 203*m - 1. Suppose l(q) = 0. Calculate q.
-48, -3, -2/7
Let j(a) = a**4 + a**3 + a**2 + 1. Suppose 626*z = 625*z + 1. Let t(o) = 5*o**4 + 9*o**3 + 4*o**2 + 6. Let i(c) = z*t(c) - 6*j(c). Factor i(l).
-l**2*(l - 2)*(l - 1)
Let m(n) = 14*n**2 - 1119*n - 1093. Let f(l) = -26*l**2 + 2235*l + 2189. Let c(o) = -5*f(o) - 9*m(o). What is d in c(d) = 0?
-1, 277
Determine c so that 293*c - 56*c**2 + 11*c**2 + 249*c - 12 - 476*c - 9 = 0.
7/15, 1
Let l(h) be the third derivative of -h**6/780 - 7*h**5/65 - 75*h**4/52 - 108*h**3/13 + 1446*h**2. Determine w, given that l(w) = 0.
-36, -3
Let v(p) be the third derivative of 0*p - 1/90*p**5 - 5/36*p**4 + 40 + p**2 - 2/3*p**3. Factor v(d).
-2*(d + 2)*(d + 3)/3
Let q(t) be the first derivative of 2*t**6/33 + 2*t**5/11 - 6*t**4/11 + 2*t**3/33 + 4*t**2/11 + 819. Solve q(a) = 0.
-4, -1/2, 0, 1
Suppose -5*m + q = -m - 128, -4*m + 4*q + 140 = 0. Suppose 4*i = -11 + m. Factor -9*d**2 - 3*d**4 - 101 + 101 + 21*d**3 - 3*d**i - 6*d**3.
-3*d**2*(d - 1)**2*(d + 3)
Let v(r) = 2*r**5 + r**4 - r**3 + 3*r**2 + 2*r. Let n(q) = 9*q**5 + 8*q**4 - 8*q**3 + 16*q**2 + 10*q. Let s(l) = 3*n(l) - 15*v(l). Factor s(o).
-3*o**2*(o - 1)**3
Let c(q) = q + 46*q**3 + 31*q**3 + 35*q**3 + 10*q**3. Let g be c(1). Suppose -30*n - 246*n**2 + g*n**2 - 225 + 122*n**2 = 0. Calculate n.
-15
Let w(b) be the third derivative of 1/9*b**4 + 0*b**3 + 0 - 4/45*b**5 - 2/315*b**7 + 0*b - 7/60*b**6 - 85*b**2 + 1/72*b**8. Suppose w(k) = 0. Calculate k.
-1, 0, 2/7, 2
Suppose -4*y - 377 = -b - 337, 3*b - 39 = 3*y. Let u be 0*(-1)/(3/3). What is q in 0 + 135/4*q**b + 3*q**2 + 21*q**3 + u*q = 0?
-2/5, -2/9, 0
Let m(h) be the first derivative of 7/5*h**5 - 16/3*h**3 + 0*h**2 + 0*h - 1/6*h**6 - 2*h**4 - 51. Suppose m(k) = 0. What is k?
-1, 0, 4
Let n(p) = 58*p**3 + 6031*p**2 - 109*p - 518. Let r be n(-104). Determine l so that 0*l + 88/9*l**4 + 8/9*l**3 + 0 + 0*l**r + 242/9*l**5 = 0.
-2/11, 0
Let y(c) = 14*c**5 + 12*c**4 + 6*c**3 + 16*c**2 - 48. Let p(m) = m**5 + m**4 + m**3 + m**2 - 4. Let f(n) = 12