ose 0 = -3*r - 4*c + 25, -5*r + 0*c - 5 = -5*c. Let f be (-12)/15*-3*5/r. Factor 100000/9*b + 2000/9*b**3 - 100/9*b**f + 2/9*b**5 - 20000/9*b**2 - 200000/9.
2*(b - 10)**5/9
Let x(f) = -8*f**3 + 1480*f**2 - 2936*f + 16. Let u(o) = -17*o**3 + 2961*o**2 - 5872*o + 36. Let q(j) = -4*u(j) + 9*x(j). What is y in q(y) = 0?
0, 2, 367
Factor 4*a**2 + 25080064 - 2222*a + 13605*a + 8649*a.
4*(a + 2504)**2
Let r(p) be the third derivative of -p**8/112 + 17*p**7/70 - 101*p**6/40 + 271*p**5/20 - 165*p**4/4 + 72*p**3 - 439*p**2 - 4. Suppose r(l) = 0. What is l?
1, 2, 3, 8
Let m(z) be the first derivative of z**3/3 - 43*z**2/2 + 420*z - 2011. Determine f, given that m(f) = 0.
15, 28
Let k(x) be the second derivative of x**6/285 + 11*x**5/190 - 127*x**4/114 - 11*x**3/57 + 126*x**2/19 + 675*x. Let k(n) = 0. What is n?
-18, -1, 1, 7
Let d be ((-15)/(-240)*-8)/((-26)/6 + 4). Let s(r) be the first derivative of 32 - d*r**3 - 3*r - 21/4*r**2. Find l, given that s(l) = 0.
-2, -1/3
Let f be 50/((-50)/(-5)) + 0/(-6). Let g(l) be the third derivative of -1/60*l**6 + 0*l + 0*l**3 + 0 - 13*l**2 - 1/6*l**4 + 1/10*l**f. Factor g(j).
-2*j*(j - 2)*(j - 1)
Let 144/5*s**3 - 576 + 352/5*s**2 - 36/5*s**4 - 1632/5*s + 2/5*s**5 = 0. What is s?
-2, 6, 10
Let h(w) be the third derivative of -w**7/1260 - w**6/20 - 17*w**5/60 + w**4/24 - 14*w**3/3 - 126*w**2. Let f(v) be the second derivative of h(v). Factor f(m).
-2*(m + 1)*(m + 17)
Let s(d) be the first derivative of -2*d**5/65 - 5*d**4/26 - 4*d**3/13 + 4*d**2/13 + 16*d/13 + 7922. Suppose s(p) = 0. Calculate p.
-2, 1
Let a(v) = -3*v**2 + 22*v + 7. Let l be a(7). Suppose k = 4*r - 7*r + l, -5*r + k = -18. Factor 75*n**3 + 24*n**2 + 5*n**4 + 16*n**r - 18*n**3 - 12*n.
3*n*(n + 1)*(n + 2)*(7*n - 2)
Suppose 5*v + 5 = -j + 16, -1 = -3*v + 5*j. Factor 24*w**3 - 6*w**4 + 20*w**4 + 26*w**v + 8*w + 2*w**5 + 6*w**3.
2*w*(w + 1)**3*(w + 4)
Factor -2/5*n**2 + 356/5 + 354/5*n.
-2*(n - 178)*(n + 1)/5
Let b(k) = -2*k**2 - 32*k + 38. Let j be b(-17). Let w be j + -7 + (0 - 104/(-24)). Factor 8/3*m**2 - 4*m**4 + w + 4/3*m**5 - 4*m + 8/3*m**3.
4*(m - 1)**4*(m + 1)/3
Let s = -17948 + 17951. Let r(w) be the first derivative of 0*w + 9/5*w**5 + 1/2*w**6 + 3/4*w**4 - 3*w**2 - 3*w**s + 20. Suppose r(x) = 0. Calculate x.
-2, -1, 0, 1
Let r be 5940/(-855) + 1/(-2) - -6. Let k = r - -37/19. Let -k*g - 2/5 - 1/10*g**2 = 0. Calculate g.
-4, -1
Let b(x) = -2*x**3 - 292*x**2 + 5900*x + 74. Let s be b(18). Factor -52 + 4/3*o**s + 152/3*o.
4*(o - 1)*(o + 39)/3
Let m = -358 + 341. Let r be (-1 + 15/12)/(m/(-119)). Suppose 1/4*x**3 + 5/4*x**2 + 3/4 + r*x = 0. What is x?
-3, -1
Solve -2/5*y**3 - 66 + 2/5*y + 66*y**2 = 0 for y.
-1, 1, 165
Let y be (10/(10/(-7)) + 8 + -1)/(-5). Suppose 0*h + 0 - 2/5*h**3 - 7/10*h**5 + 11/10*h**4 + y*h**2 = 0. Calculate h.
0, 4/7, 1
Suppose 8*b = 24*b - 32. Factor 7*q + 26*q - 22*q**2 + 23*q**2 - 40*q**b - 9 + 15*q**3.
3*(q - 1)**2*(5*q - 3)
Let c(d) be the second derivative of 11/8*d**3 - 1/32*d**4 - 171/16*d**2 + 154*d + 1. Factor c(z).
-3*(z - 19)*(z - 3)/8
Let -977 - 41*f**2 + 75*f**2 - 87 - 30*f**2 + 1060*f = 0. What is f?
-266, 1
Let b(y) be the first derivative of y**7/168 + 5*y**6/96 - y**5/48 - 25*y**4/96 - 97*y**2/2 - 48. Let r(f) be the second derivative of b(f). Factor r(t).
5*t*(t - 1)*(t + 1)*(t + 5)/4
Let v(b) be the second derivative of -3*b + 0*b**3 + 0 - 1/4*b**4 + 0*b**2. Solve v(k) = 0 for k.
0
What is f in 64*f**2 - 127*f - 67*f + 342*f - 370 - 246 - 4*f**3 + 408*f = 0?
-7, 1, 22
Let w be ((-8)/6)/((-69)/(-27) + -3). Suppose -w*v**4 + 6*v**3 + 7*v**3 - 150*v**2 + 30*v**2 + 7*v**4 + 15*v**3 + 16*v + 160 = 0. What is v?
-10, -1, 2
Let x(n) be the second derivative of -3*n**5/20 + 75*n**3/2 - 375*n**2 - 7450*n. Factor x(j).
-3*(j - 5)**2*(j + 10)
Suppose -203*x + 205*x = 176. Suppose x = 9*p + 61. Find w such that 14/3*w**2 - 32/3 - 2/3*w**p - 16/3*w = 0.
-1, 4
Suppose -1815 = -0*k - 3*k. Factor 134*a**2 - 98*a + k + 81*a - 129*a**2 - 93*a.
5*(a - 11)**2
Let h(l) be the second derivative of l**7/168 + 11*l**6/12 + 3333*l**5/80 + 2093*l**4/6 + 1690*l**3/3 - 3410*l - 2. Determine m, given that h(m) = 0.
-52, -5, -1, 0
Suppose -u - 136 - 191 = -4*m, -u - 3 = 0. Let s be (3 - (3 + -1))/(3/m). Suppose -18*p + 4*p**2 - 17*p + s*p = 0. What is p?
0, 2
Let s be 1062/12*-4*10/(-12). Factor -290*d - 5*d**3 + s - 492 - 538 - 85*d**2 + 0*d**3 - 165*d.
-5*(d + 3)*(d + 7)**2
Let n(b) be the third derivative of 5*b**8/336 + 470*b**7/21 + 49141*b**6/4 + 7739551*b**5/3 + 153321485*b**4/24 - 4*b**2 - 10*b + 1. Factor n(t).
5*t*(t + 1)*(t + 313)**3
Let m(f) be the first derivative of 2*f**3/39 + 257*f**2/13 + 169. Suppose m(t) = 0. What is t?
-257, 0
Let q = -20389 - -20395. Let o(n) be the second derivative of 1/30*n**q - 7/3*n**3 - 1/10*n**5 - n**4 + 0 - 5/2*n**2 - 32*n. Solve o(k) = 0.
-1, 5
Let c = -10983 - -32951/3. Factor -14/15*w - c*w**2 + 4/5.
-2*(w + 2)*(5*w - 3)/15
Let c(z) = -2*z**2 - 58*z - 40. Let v = 108 + -107. Let w(l) = 3*l + 1. Let h(i) = v*c(i) + 8*w(i). Factor h(u).
-2*(u + 1)*(u + 16)
Let g(n) be the second derivative of n**6/240 + 19*n**5/160 + 5*n**4/32 - 343*n**3/48 - 85*n**2/4 - 2522*n. Let g(b) = 0. Calculate b.
-17, -5, -1, 4
Let r = -193/191 + 22351/382. Suppose -45/2*d + 75*d**2 + 0 + 10*d**4 + r*d**3 = 0. Calculate d.
-3, 0, 1/4
Let w(v) = -25*v**3. Let r(l) = 198*l**3 - 57*l**2 - 171*l + 100. Let y(t) = -5*r(t) - 40*w(t). Factor y(a).
5*(a + 4)*(a + 25)*(2*a - 1)
Let i(y) = -6 - 11*y**2 + 12 + 9*y - 61*y - 67*y. Let j(x) = 100*x**2 + 1070*x - 55. Let k(h) = 55*i(h) + 6*j(h). Solve k(f) = 0 for f.
-25, 0
Let j(v) be the first derivative of -648*v - 1/6*v**3 - 18*v**2 + 14. Factor j(r).
-(r + 36)**2/2
Let b(t) be the third derivative of t**7/105 - 13*t**6/80 - 7*t**5/60 + 13*t**4/16 + 5*t**3/6 - 247*t**2 - 2*t. Find y such that b(y) = 0.
-1, -1/4, 1, 10
Let t(c) = -3*c**2 - c. Suppose -4*u + 18 = i, u - 5*i - 10 = -4*u. Let v(p) = 4*p**2 + 2*p. Let a(x) = u*v(x) + 5*t(x). Factor a(b).
b*(b + 3)
Let m(i) be the third derivative of i**6/180 - 53*i**5/360 + 101*i**4/144 - 11*i**3/18 + 1160*i**2. Suppose m(a) = 0. Calculate a.
1/4, 2, 11
Suppose 8*w + 4*b = 10*w - 112, -4*w = 5*b - 159. Let t be w/40 + 27/108. Find g, given that -1/5*g**2 + t - 6/5*g = 0.
-7, 1
Let a be ((-52)/2535)/((-4)/20). Let m(d) be the second derivative of 1/78*d**4 + 0 + a*d**3 + 3/13*d**2 - 22*d. Find z such that m(z) = 0.
-3, -1
Let -2/9*b**4 + 62/3*b**2 + 14/9*b**3 + 4312/9 - 1918/9*b = 0. Calculate b.
-11, 4, 7
Let s(r) be the second derivative of -r**8/420 - r**7/105 + r**5/15 + r**4/6 - 8*r**3 + 12*r. Let j(o) be the second derivative of s(o). Factor j(d).
-4*(d - 1)*(d + 1)**3
Let c be (6/(-8))/((-15)/20 - 0). Suppose k + c = 4*a - 4*k, -5*a - 3*k = -29. Factor a*d + 16/7*d**2 + 12/7.
4*(d + 1)*(4*d + 3)/7
Let p = -116 - -123. Determine t so that 3*t**2 + 2271*t**3 - 2273*t**3 + p*t**2 = 0.
0, 5
Suppose -5*t = 29 - 54. Solve t + 21*l + 17*l + 45*l**2 - 8*l = 0 for l.
-1/3
Let h(x) be the second derivative of -x**5/20 - 31*x**4/12 - 29*x**3/3 + 1041*x + 1. Let h(u) = 0. Calculate u.
-29, -2, 0
Let n(x) = x**3 - 7*x**2. Suppose 24 + 25 = 7*o. Let l be n(o). Solve 8*q**4 + 2*q**2 + 2*q**3 + 0 - 2*q**5 - 10*q**4 + l = 0 for q.
-1, 0, 1
Let p(x) be the first derivative of -5*x**7/168 + x**6/120 + 168*x - 25. Let n(k) be the first derivative of p(k). Factor n(b).
-b**4*(5*b - 1)/4
Let z(a) be the second derivative of -1/16*a**4 + 3 - 3*a + 1/80*a**5 - 25/24*a**3 - 21/8*a**2. Factor z(p).
(p - 7)*(p + 1)*(p + 3)/4
Suppose -6*z - 1158 = -3630. Determine h so that -2*h**2 - 252*h - 2*h**2 - 1600 + z*h = 0.
20
Suppose -5*p + 627 = -3*h, -h = -3*p + 7*p + 192. Let j = -407/2 - h. What is z in 5/3*z + j*z**2 + 1/2 = 0?
-3, -1/3
Determine h so that 93/4*h**3 + 0 + 11/2*h**4 + 17*h + 35*h**2 + 1/4*h**5 = 0.
-17, -2, -1, 0
Solve -68/7*h + 2/7*h**3 + 76/7 + 11/7*h**2 = 0.
-19/2, 2
Factor 26*b + 9*b**2 + 12*b**2 - 18*b**2 - 14*b.
3*b*(b + 4)
Let i(z) be the first derivative of -z**4/30 + 64*z**3/45 - 92*z**2/5 + 96*z + 1641. Factor i(d).
-2*(d - 20)*(d - 6)**2/15
Let y(n) = n**3 + 8*n**2 - 19*n + 7. Let a be y(-10). Let v be -8 - -6 - (1 - (-11)/a). Factor -4/3*g**2 + 2/3*g**4 - 4/3*g**3 + 2/3*g + 2/3*g**5 + v.
2*(g - 1)**2*(g + 1)**3/3
Factor