erivative of -a**7/1260 + a**6/180 - a**5/60 + a**4/36 + 17*a**3/2 - 61*a**2. Let t(r) be the first derivative of l(r). Factor t(h).
-2*(h - 1)**3/3
Suppose 0 = -72*i + 87*i - 825. Let b be -6*(-12)/(-3)*(-132)/i. Factor -48/5*t + b + 2/5*t**2.
2*(t - 12)**2/5
Let k = -1218/8711 + 9/62. Let c = 423/281 - k. Factor 0*u**2 + 1/4*u**3 - c - 7/4*u.
(u - 3)*(u + 1)*(u + 2)/4
Let t(p) be the second derivative of -3*p**5/80 + 3*p**4/8 + 12*p**3 - 240*p**2 - 20*p + 2. Find m, given that t(m) = 0.
-10, 8
Let d(z) be the first derivative of z**6/21 + 88*z**5/35 + 337*z**4/14 - 6316*z**3/21 + 7100*z**2/7 - 10000*z/7 + 5744. Factor d(j).
2*(j - 2)**3*(j + 25)**2/7
Let u = -186923 - -934771/5. Factor 3/5*d**5 + 192/5 + 141/5*d**3 - 144/5*d - u*d**2 - 36/5*d**4.
3*(d - 4)**3*(d - 1)*(d + 1)/5
Factor 4*f**2 + 46674917 - 46674917 + 536*f.
4*f*(f + 134)
Determine x, given that 805/2 - 2395/2*x**4 + 15/2*x**5 + 795*x**2 + 3215/2*x - 1615*x**3 = 0.
-1, -1/3, 1, 161
Let -1/2*h**2 - 169 + 339/2*h = 0. Calculate h.
1, 338
Let v(n) = -4*n**3 - 2*n**2 + n + 2. Let r(o) = o**3 - o**2 - o. Let z(x) = -3*r(x) - v(x). Let t be z(-4). Factor -4*c**2 - 5 + t - 1.
-4*c**2
Let j(p) be the first derivative of p**3/12 - 11*p**2 + 43*p + 843. Factor j(f).
(f - 86)*(f - 2)/4
Let l be (776 + -782)*(13/21 - 1). Let m(q) be the first derivative of -q**2 - l*q - 28 + 2/21*q**3. Factor m(c).
2*(c - 8)*(c + 1)/7
Suppose 5/3*n**4 + 1/9*n**5 + 19/3*n**2 + 22/9*n + 0 + 49/9*n**3 = 0. What is n?
-11, -2, -1, 0
Let g(o) be the second derivative of o**7/98 - 38*o**6/7 + 54717*o**5/70 - 2565*o**4 + 5103*o**3/2 - 10*o + 8. Let g(v) = 0. What is v?
0, 1, 189
Let a = -99 + 115. Solve 16 - 92*h + 39*h**2 + 8*h**5 + 102*h**2 - 34*h**4 - 23*h**2 - a*h**3 = 0.
-2, 1/4, 1, 4
Let r = 21 - 19. Suppose -r*f - 6*f = -32. Suppose -20*l**3 - 6*l**f - 12*l**5 + 2*l**4 - 12*l**2 + 16*l**5 = 0. Calculate l.
-1, 0, 3
Let z(m) be the second derivative of m**6/10 - 21*m**5/20 + 9*m**4/2 - 10*m**3 + 12*m**2 + 2*m + 173. Determine i so that z(i) = 0.
1, 2
Let p(r) be the first derivative of -r**3/3 + r**2/2 - 1. Let n(u) = -42*u - 45*u - 41*u + 169*u + 4*u**2 - 39*u. Let q(j) = n(j) + 3*p(j). Factor q(i).
i*(i + 5)
Let j(s) be the third derivative of 3481*s**6/72 - 1003*s**5/3 + 1445*s**4/2 + 1219*s**2 - 1. Determine v, given that j(v) = 0.
0, 102/59
Let s(u) be the second derivative of u**7/7 + 11*u**6/15 - 43*u**5/10 - 71*u**4/6 + 208*u**3/3 - 60*u**2 - 205*u - 3. Solve s(h) = 0.
-5, -3, 1/3, 2
Find s such that 0 + 159/2*s**2 - 47*s**3 + 9/8*s**4 + 20*s = 0.
-2/9, 0, 2, 40
Let t(a) = -9*a**2 + 2*a - a**3 + 2*a + 15*a**2 + 2*a**2 - 30. Let z be t(8). Factor -z + 2*i - 1/2*i**2.
-(i - 2)**2/2
Let v be ((-2)/(-30)*5)/((-10)/(-6)). Suppose 5*b = -64*b - 22*b. Factor -2/5*g**4 + v*g**3 + 0 + 1/5*g**5 + 0*g + b*g**2.
g**3*(g - 1)**2/5
Let o(q) be the first derivative of -2*q**6 - 201*q**5 - 7227*q**4 - 102546*q**3 - 314928*q**2 + 177147*q + 189. Determine z, given that o(z) = 0.
-27, -3, 1/4
Suppose 15*l - 176 = -251. Let t be ((-1)/l)/(80/100). Solve -1/2*w**2 - w**4 + t*w + 0 - 7/4*w**3 = 0 for w.
-1, 0, 1/4
Let 347*p**2 + 353*p**2 + 90738 + 346*p**2 + 852*p - 1044*p**2 = 0. What is p?
-213
Suppose 69*p - 228*p = -61*p + 2*p - 400. Let 10/11*t - 6/11*t**2 - 2/11*t**3 - 4/11 + 2/11*t**p = 0. What is t?
-2, 1
Suppose 54 = -4*w + 4*n + 22, 4*n = -5*w - 76. Let h be (-255)/(-20) + (2 - (-21)/w). Solve -h*l + 34*l + 19*l - 18*l**2 + 23*l**2 + 60 = 0 for l.
-6, -2
Let q = 27/28 + -23/28. Suppose 8*p = 9 + 31. Let -6/7*w**3 + 0 - 1/7*w**p - q*w - 4/7*w**2 - 4/7*w**4 = 0. What is w?
-1, 0
Let q = 1396636 - 1396633. Factor -90 + 96*n + 3/2*n**q - 57/2*n**2.
3*(n - 15)*(n - 2)**2/2
Let q(r) be the third derivative of r**8/4032 - 19*r**7/2520 - 23*r**6/1440 + 11*r**5/144 + 49*r**4/144 + 5*r**3/9 - 5106*r**2. Factor q(m).
(m - 20)*(m - 2)*(m + 1)**3/12
Let l(o) = -6*o**2 - 2592*o - 419898. Let a(v) = -7*v**2 - 2592*v - 419895. Let b(i) = 2*a(i) - 3*l(i). Factor b(g).
4*(g + 324)**2
Let u(j) be the third derivative of 4 - 19/20*j**6 - 13/70*j**7 + 1/2*j**3 - 9/5*j**5 + 0*j - 11*j**2 - 5/4*j**4. Factor u(p).
-3*(p + 1)**3*(13*p - 1)
Let u(p) be the second derivative of -1/9*p**4 + 0*p**2 - 1/30*p**5 + 0 + 0*p**3 - 49*p. Factor u(j).
-2*j**2*(j + 2)/3
Let i(m) be the second derivative of m**4/66 + 89*m**3/33 - 182*m**2/11 - 3*m + 51. Factor i(r).
2*(r - 2)*(r + 91)/11
Let m = 259885 - 779653/3. Solve 2/3*u**2 + 2*u**3 - 4/3*u**5 + 0 - m*u**4 - 2/3*u = 0 for u.
-1, 0, 1/2, 1
Factor -2/11*y**2 + 210/11*y + 0.
-2*y*(y - 105)/11
Let b(a) be the second derivative of 0*a**2 + 0 + 58*a - 38/15*a**3 + 1/30*a**4. Factor b(f).
2*f*(f - 38)/5
Suppose 562 - 672 = -25*p - 30*p. Let -1/2*v**3 + 0*v**p + 0 + 1/2*v = 0. Calculate v.
-1, 0, 1
Let y(v) = v + 1. Let t be y(-1). Let d be (2/(-49) - 5742/(-1421))*1/7. Factor 0 + 2/7*m + 0*m**2 - d*m**3 + t*m**4 + 2/7*m**5.
2*m*(m - 1)**2*(m + 1)**2/7
Let i(y) = 5*y**3 - 33*y**2 + 10*y - 3. Let u(r) = 6*r**3 - 34*r**2 + 12*r - 2. Suppose 9*a + 15 = 33. Let v(p) = a*i(p) - 3*u(p). Find h, given that v(h) = 0.
0, 1/2, 4
Let h = -218/19 - -2326/57. Let w(p) be the first derivative of -4*p**2 + 0*p + 15 - 157/2*p**4 - h*p**3 - 396/5*p**5 - 27*p**6. Suppose w(d) = 0. What is d?
-1, -2/9, 0
Let u(w) = w**2 - 11*w + 47. Let h be u(8). Factor -5 + 12*k**3 + 10 - 4*k**2 - h*k**2 - k**4 - 5.
-k**2*(k - 9)*(k - 3)
Let l(b) be the second derivative of 3*b**4/2 + 227*b**3/3 + 50*b**2 - 8*b - 155. Suppose l(u) = 0. What is u?
-25, -2/9
Let m(c) be the first derivative of -1/3*c**3 + 3/2*c**2 - 3/4*c**4 + 1/5*c**5 + 57 + 0*c. Factor m(p).
p*(p - 3)*(p - 1)*(p + 1)
Let x be (-2)/((-7)/((-70)/(-4)) + 0). Find m, given that 52*m**2 + 24*m - 36*m**3 + 29*m**3 - 4*m**4 + 10*m**3 + 25*m**3 - 4*m**x = 0.
-2, -1, 0, 3
Factor 524082*n - 302111711 - 2069*n**2 + 381816*n + n**3 + 444825*n + 56*n**2.
(n - 671)**3
Suppose -47*l + 402 = 4*n - 46*l, 30*n = 4*l + 3176. Find b, given that 282/7*b**2 + 56 - 52/7*b**3 + 2/7*b**4 + n*b = 0.
-1, 14
Suppose -4*w - 9 = i, -4*i + 4*w + 15 = 11. Let s(x) = x. Let d(h) = 16*h**2 - 95*h - 24. Let n(y) = i*d(y) - 3*s(y). Factor n(r).
-4*(r - 6)*(4*r + 1)
Let v(b) = -b**3 - 183*b**2 - 11*b - 2011. Let m be v(-183). Solve 3/2*t**m - 9*t + 10 + 1/4*t**3 = 0 for t.
-10, 2
Factor -599*i - 12782 - 432*i + 35785 + 10121 + 303*i + 4*i**2.
4*(i - 91)**2
Let 3/4*p**2 - 15*p + 297/4 = 0. What is p?
9, 11
Let x(g) be the first derivative of -g**5 - 355*g**4 + 1430*g**3/3 + 710*g**2 - 1425*g - 561. Solve x(z) = 0.
-285, -1, 1
Let b(a) be the first derivative of -a**5/20 - 17*a**4/120 - a**3/15 + 127*a**2/2 + 161. Let m(j) be the second derivative of b(j). What is r in m(r) = 0?
-1, -2/15
Let t = -2118/205 + 36416/3485. What is c in -t*c**4 + 0 + 0*c + 2/17*c**2 - 2/17*c**3 + 2/17*c**5 = 0?
-1, 0, 1
Let o(i) be the first derivative of 162*i**5/5 - 1467*i**4/4 + 53*i**3/3 + 124*i**2 + 36*i + 672. Let o(h) = 0. Calculate h.
-2/9, 1/2, 9
Let v(o) be the second derivative of o**5/90 - 4*o**4/27 - 65*o**3/27 + o - 819. Solve v(i) = 0.
-5, 0, 13
Let b(w) be the third derivative of 1/3*w**3 + 5/24*w**4 + 0*w - 1/20*w**5 + 2*w**2 + 1. Factor b(t).
-(t - 2)*(3*t + 1)
Let f(m) be the first derivative of m**6/45 + 7*m**5/30 + 5*m**4/9 + 97*m - 9. Let n(i) be the first derivative of f(i). Factor n(y).
2*y**2*(y + 2)*(y + 5)/3
Let o = 3250/2849 + -60/259. Factor -o*r - 2/11*r**3 - 16/11*r**2 + 28/11.
-2*(r - 1)*(r + 2)*(r + 7)/11
Let b(t) = -2*t**3 - 415*t**2 - 2286*t - 3407. Let a(k) = 3*k**3 + 625*k**2 + 3429*k + 5111. Let c(i) = 5*a(i) + 8*b(i). Solve c(y) = 0.
-189, -3
Let k(a) be the second derivative of 6889/7*a**2 + 4*a + 166/21*a**3 - 3 + 1/42*a**4. Factor k(j).
2*(j + 83)**2/7
Let h(b) be the third derivative of -231*b**2 + 0*b + 1/380*b**6 + 0*b**3 + 0*b**5 + 0 + 1/1995*b**7 - 1/57*b**4. Factor h(m).
2*m*(m - 1)*(m + 2)**2/19
Let y(d) be the first derivative of d**5/20 + 23*d**4/16 + 79*d**3/6 + 97*d**2/2 + 78*d + 466. Factor y(j).
(j + 2)**2*(j + 6)*(j + 13)/4
Let 6652121763/4 + 423801/2*c**2 + 3/4*c**4 - 651*c**3 - 30654939*c = 0. What is c?
217
Let k be (4/5)/((-663)/442*(-4)/30). Factor 0 - 10/3*w - 5/3*w**k + 22/3*w**3 + 17/3*w**2.
-w*(w - 5)*(w + 1)*(5*w - 2)/3
Let i(x) be the third derivative of -x