et m be z(14). Suppose 0 = s - k - 5, 3*k + 8 = 3*s + m*k. Factor -8*n - 6*n**s - 7*n**3 + 35*n**3 - 162*n**2 + 148*n**2.
-2*n*(n - 4)*(n - 1)*(3*n + 1)
Suppose -6154*c + 17508 = -4935*c + 7535*c. Factor -9/4*x + 11/2 - 1/4*x**c.
-(x - 2)*(x + 11)/4
Let u be (-10)/(-4) + ((-30)/4)/15. Find h, given that -19*h**2 + 7*h**2 + h**4 + 3*h**3 - h**u + 3*h**2 - 3*h + 9*h**2 = 0.
-3, -1, 0, 1
Let c = -8/30131 + 482136/150655. Factor -12/5*w**2 - c*w - 4/5.
-4*(w + 1)*(3*w + 1)/5
Let q(s) be the first derivative of -19/2*s**2 + 1/30*s**5 + 12 + 0*s**3 + 1/24*s**4 + 0*s. Let t(d) be the second derivative of q(d). Factor t(p).
p*(2*p + 1)
Let y(k) be the third derivative of 75*k**2 - 1/40*k**6 - 8*k**3 + 0*k - k**4 + 7/20*k**5 + 0. Factor y(l).
-3*(l - 4)**2*(l + 1)
Let m(b) be the second derivative of -b**2 - 13/12*b**3 + 0 - 39*b + 13/24*b**4 + 1/10*b**5. Factor m(p).
(p - 1)*(p + 4)*(4*p + 1)/2
Solve 21/2*h - 3/4*h**2 - 147/4 = 0 for h.
7
Let l be ((-17)/1224*6)/(2/(-9)). Let x be (9/(-14))/(72/84*-2). Factor -x*t**2 + 9/4 - l*t.
-3*(t - 2)*(t + 3)/8
Let c(o) be the second derivative of o**5/20 - 17*o**4/8 + 8*o**3 - 29*o**2 - o + 6. Let h(f) be the first derivative of c(f). Solve h(u) = 0.
1, 16
Let a(x) = -16*x - 13. Suppose -5*y = -t + 24, 2*t = 3*y + 21 - 8. Let z be a(t). Factor 0*o + 4/7*o**2 + 8/7*o**z + 0 + 4/7*o**4.
4*o**2*(o + 1)**2/7
Let m(y) = 3*y**2 - 111*y + 114. Let g(u) = 3*u**2 - 109*u + 111. Let q(t) = -6*g(t) + 5*m(t). Factor q(w).
-3*(w - 32)*(w - 1)
Suppose -6074665088/3 - 1/6*o**4 - 664/3*o**3 - 110224*o**2 - 73188736/3*o = 0. What is o?
-332
Let q be (-2 - (-2 - 0))/1 + 28. Suppose -278*g = -285*g + q. Determine c so that -1/3*c**2 + 0*c**3 + 1/9*c**g + 0 - 2/9*c = 0.
-1, 0, 2
Let b(z) be the first derivative of 113 + 28/9*z**3 - 32/3*z**2 + 16/3*z. Factor b(g).
4*(g - 2)*(7*g - 2)/3
Let f be (-1101)/300 - ((-1)/(-4))/1. Let z = -68/25 - f. Let 26/15*i + 4/15*i**3 + 4/5 + z*i**2 = 0. Calculate i.
-2, -3/2, -1
Let s(g) be the first derivative of -3*g**5/10 + 35*g**4/16 + 17*g**3/2 + 2*g**2 - 833. Find j, given that s(j) = 0.
-2, -1/6, 0, 8
Let c(k) be the second derivative of 4*k - 3 - 1/56*k**7 - 9/80*k**5 - 5/8*k**4 + 3/20*k**6 + 0*k**2 + 0*k**3. Determine w, given that c(w) = 0.
-1, 0, 2, 5
Let t be 180/30 - (-8)/(-2). Factor 25*j**2 - 88 - 21*j**t + 30*j + 6*j.
4*(j - 2)*(j + 11)
Let f(n) be the first derivative of 0*n - 3/4*n**4 - 321 + 42*n**2 - 12*n**3. Let f(z) = 0. Calculate z.
-14, 0, 2
Let i(o) be the second derivative of -5*o**4/12 + 65*o**3/6 + 35*o**2 + 24*o - 18. Factor i(h).
-5*(h - 14)*(h + 1)
Let l(j) be the first derivative of 243*j**5/25 + 6669*j**4/20 - 1292*j**3/5 - 270*j**2 - 336*j/5 - 1095. Suppose l(u) = 0. Calculate u.
-28, -2/9, 1
Factor 0 + 95/2*k + 43/4*k**2 + 1/4*k**3.
k*(k + 5)*(k + 38)/4
Let q = 859/61 - 4234/305. Let 16/5 - 12/5*v**2 + 1/5*v**4 + 4/5*v + q*v**3 = 0. Calculate v.
-4, -1, 2
Let d be 352/110 - 2/10. Let g be (-9)/18 + 7/4. Find h, given that 1/4*h**d + h**2 + 1/2 + g*h = 0.
-2, -1
Let q(i) be the first derivative of i**5 + 135*i**4/4 + 85*i**3 + 125*i**2/2 - 20. Find k, given that q(k) = 0.
-25, -1, 0
Let w(k) be the first derivative of -k**5/5 - 3*k**4 - 7*k**3 + 41*k**2 - 48*k + 494. Solve w(i) = 0.
-8, -6, 1
Suppose -17*j + 12755 - 12687 = 0. Let s(a) be the first derivative of 2/15*a**5 + 0*a**j - 1/18*a**6 - 2/9*a**3 + 1/6*a**2 + 0*a + 26. Factor s(k).
-k*(k - 1)**3*(k + 1)/3
Let u(v) be the first derivative of -3*v**4/4 + 16*v**3 + 288*v**2 + 1713. Factor u(c).
-3*c*(c - 24)*(c + 8)
Let c(z) be the third derivative of -z**7/1120 - z**6/15 - 8*z**5/5 - 31*z**3/2 - 16*z**2 - 8*z. Let a(t) be the first derivative of c(t). Factor a(r).
-3*r*(r + 16)**2/4
Let b(t) be the second derivative of -t**7/210 - 11*t**6/150 - 39*t**5/100 - 61*t**4/60 - 22*t**3/15 - 6*t**2/5 - 218*t. Factor b(y).
-(y + 1)**3*(y + 2)*(y + 6)/5
Suppose 13*w = 37*w - 48. Find b such that 15*b**w + 15*b**5 + 4*b**4 + 15*b**3 - 39*b**4 + 35*b - 45*b = 0.
-2/3, 0, 1
Let v(g) = 35*g**2 + 10148*g - 577. Let o be v(-290). Suppose -6/7*q**o - 2*q**4 + 0 + 2*q**2 + 6/7*q = 0. What is q?
-1, -3/7, 0, 1
Let q be 28/(-6)*(-90)/35. Suppose i + 9 = 2*p, -q*i + 2 = -14*i. Suppose -11/3*s**p - 19/3*s**2 + 28*s**5 - 2/3*s - 52/3*s**3 + 0 = 0. What is s?
-1/3, -2/7, -1/4, 0, 1
Let -233*t + 700*t + 2487*t**2 + 585*t - 755 + 76*t - 1681 - 51*t**4 + 3*t**5 - 1131*t**3 = 0. Calculate t.
-14, -1, 1, 2, 29
Let x(i) = -i**3 + 25*i**2 + 55*i - 63. Let t be x(27). Let f be t/(-70) + 46/161. Find v, given that 34/5*v**2 - 38/5*v + f = 0.
2/17, 1
Let k(d) = -27903*d + 195323. Let j be k(7). Factor 11/3*s**j - 35/3*s - 1/3*s**3 + 25/3.
-(s - 5)**2*(s - 1)/3
Suppose 10*u - 471 + 431 = 0. Let s(t) be the first derivative of -16*t - 5 - 1/3*t**3 - u*t**2. Let s(k) = 0. What is k?
-4
Factor 2843 + 25*x**2 + 45*x + 101*x - 1715 - 23*x**2 + 236*x.
2*(x + 3)*(x + 188)
Let b(s) = 161*s - 3209. Let w be b(20). Let h(r) be the first derivative of w - 5*r**2 - 15*r - r**5 + 5/2*r**4 + 20/3*r**3. Factor h(g).
-5*(g - 3)*(g - 1)*(g + 1)**2
Let o(i) = -20*i**2 + 3950*i + 3866. Let d(f) = 3*f**2 - 657*f - 644. Let w(g) = 39*d(g) + 6*o(g). What is p in w(p) = 0?
-640, -1
Let b = 1380 - 1395. Let f be (12*(-5)/b)/(80/72). Determine o so that -54/5 + f*o**4 + 36/5*o**2 + 54/5*o - 52/5*o**3 - 2/5*o**5 = 0.
-1, 1, 3
Let y be 4 + (3 - 5) - -1. Let t be (-10)/y*6/(-4). Solve -3*d**4 + 15*d**2 + 0*d**5 + 3*d**t - 6*d - 20*d**3 + 11*d**3 = 0 for d.
-2, 0, 1
Let v(s) be the first derivative of 16 - 27/40*s**4 - 9/10*s**3 - 1/10*s - 9/20*s**2. Find x, given that v(x) = 0.
-1/3
Let f = -167 + 192. Solve f*i**5 + 70*i**2 + 130*i**3 + 735*i**4 - 3 + 5*i - 640*i**4 - 2 = 0.
-1, 1/5
Suppose -n + 16 = 3*n. Suppose 3*r = -3*o + 3 + 12, n*o = 3*r + 6. Suppose 6*l**2 - 4*l**5 + l**5 + 6*l**5 + l**o - 6*l**4 - 4*l**3 = 0. What is l?
-1, 0, 1, 2
Suppose 0 = -15*d + 13*d + 5*y + 31, d - 4*y = 23. Let k(b) be the second derivative of 0*b**2 - 5/42*b**4 + 2/21*b**d + 1/35*b**5 - 3*b + 0. Factor k(r).
2*r*(r - 2)*(2*r - 1)/7
Let q be (-15)/(-5)*22/(-6). Let l be 16 + q + (31/(-4) - -3). Factor 0*n - l + 1/4*n**2.
(n - 1)*(n + 1)/4
Suppose -p = 5*f - 358 + 340, -3 = -2*p + f. Find q such that -2/5*q**5 + 2*q**p - 8/5 + 2/5*q**4 - 16/5*q - 2/5*q**2 = 0.
-1, 2
Suppose 0 = -7*l - 3*b + 4930, 3*b + 1025 = 3*l - 1105. Let s = -704 + l. Factor 0*v - s*v**4 - 4/5*v**2 + 0 + 14/5*v**3.
-2*v**2*(v - 1)*(5*v - 2)/5
Let y(u) be the third derivative of u**8/161280 - u**7/4480 + u**6/720 + 14*u**5/3 + 58*u**2. Let d(a) be the third derivative of y(a). Factor d(p).
(p - 8)*(p - 1)/8
Let c(a) be the second derivative of 0 + 0*a**3 + 0*a**2 - 1/42*a**7 + 2/3*a**4 - 7*a - 1/10*a**6 + 3/10*a**5. Solve c(j) = 0 for j.
-4, -1, 0, 2
Let x = 36 + -60. Let z be (-3)/x + (-174)/(-16). Factor -25 - t**2 + z*t - 12*t - 5*t - 4*t.
-(t + 5)**2
Let m = -106 - -114. Let q be (6/m)/(-2*4/(-32)). Factor -9*o**2 + 5*o**2 + 0*o**q + 4*o**3 + 2*o**2 - 2*o**4.
-2*o**2*(o - 1)**2
Let i(a) be the second derivative of a**4/6 - 26*a**3 + 371*a. Factor i(g).
2*g*(g - 78)
Let r(c) be the first derivative of 5*c**3/9 + 560*c**2 + 3355*c/3 + 3154. Factor r(w).
5*(w + 1)*(w + 671)/3
Factor 6*g**3 - 21/2*g**2 - 1/2*g**4 + 0 - 49*g.
-g*(g - 7)**2*(g + 2)/2
Suppose 3*h - 12 = 2*a, -4*h + 112 = -12*a + 40. Factor 3*f - 3/2*f**2 - 3/2*f**3 + h.
-3*f*(f - 1)*(f + 2)/2
Let j = -172/639 - -13763/1278. Find o such that 147/2*o + 1/2*o**3 + 343/2 + j*o**2 = 0.
-7
Let m = 546 - 570. Let p(j) = -3*j**4 - j**3 + 14*j**2 - 16*j + 16. Let n(b) = b**3 + b**2 + b - 2. Let w(h) = m*n(h) - 3*p(h). Factor w(i).
3*i*(i - 4)*(i + 2)*(3*i - 1)
Let q(k) be the third derivative of -3*k**3 - 24*k**2 - 1/504*k**8 + 0 - k**5 - 11/315*k**7 - 23/90*k**6 + k - 9/4*k**4. Determine f, given that q(f) = 0.
-3, -1
Let p(k) be the first derivative of -k**5/4 + 5*k**4/2 + 215*k**3/12 + 145*k**2/4 + 30*k - 1169. Suppose p(n) = 0. Calculate n.
-2, -1, 12
Factor -2316/5*r - 2/5*r**2 - 670482/5.
-2*(r + 579)**2/5
Let q(c) = c**3 + 11*c**2 - 10*c + 6. Let o be q(-12). Let p = 20 + o. Let -18*x**3 + 0*x**2 + 77*x**4 - 33*x**4 - 30*x**4 + 4*x**p = 0. What is x?
0, 2/7, 1
Solve 1/6*o**3 + 9 + 109/6*o + 28/3*o**2 = 0 for o.
-54, -1
Let q(p) = 2*p - 1. Let n(z) = -64