4*(i - 8)*(i - 2)*(i + 10)**2
Let w(p) be the first derivative of -p**4/34 + 926*p**3/51 - 923*p**2/17 + 922*p/17 + 4373. Factor w(l).
-2*(l - 461)*(l - 1)**2/17
Let i(f) be the second derivative of -f**4/42 + 376*f**3/21 - 375*f**2/7 + 3*f + 464. Suppose i(b) = 0. What is b?
1, 375
Let c(o) = -o**2 + 33*o - 137. Let u be c(28). Suppose -a - 7*x = -u*x - 8, 2 = -5*a + x. Factor -2/3*f - 1/3*f**4 + a + 0*f**3 + f**2.
-f*(f - 1)**2*(f + 2)/3
Let l(j) be the third derivative of 13*j**7/5040 + j**6/96 + j**5/120 + j**4/24 + 61*j**3/6 - 74*j**2. Let n(t) be the second derivative of l(t). Factor n(b).
(b + 1)*(13*b + 2)/2
Let d(u) be the third derivative of -343*u**6/900 - 539*u**5/15 - 4235*u**4/3 - 266200*u**3/9 + 840*u**2 + u. Solve d(c) = 0.
-110/7
Let r(c) be the first derivative of c**4/2 - 1312*c**3 + 1291008*c**2 - 564600832*c - 348. Solve r(u) = 0.
656
Let f be 21 + -5 + 2/1. Factor -7 + 4*l**2 - 4*l + f + 4*l**3 - 15.
4*(l - 1)*(l + 1)**2
Let a be 44217/9 - (1/1 + -1). Solve -v**3 - 27*v**2 + 9*v - 876*v + 0*v**3 - a - 24*v**2 = 0 for v.
-17
Find o, given that -116/7*o**3 + 0 + 292/7*o**2 + 176/7*o + 8/7*o**4 = 0.
-1/2, 0, 4, 11
Let g(t) = -10*t**2 + 279*t - 514. Let b be g(2). Suppose -3/4*m**b + 9/4*m**5 - 6*m**3 + 0 - 3*m**2 + 0*m = 0. What is m?
-1, -2/3, 0, 2
Let s(y) be the third derivative of -y**7/42 - 3*y**6/4 - 23*y**5/4 - 65*y**4/6 + 25*y**2 - 24*y. Factor s(q).
-5*q*(q + 1)*(q + 4)*(q + 13)
Factor -94*a + 458*a + 332*a**2 + 14*a**2 + 0*a**2 + 302*a**2 + 48 + 140*a**3.
4*(a + 4)*(5*a + 1)*(7*a + 3)
Let d(w) = 30*w - 98. Let b(m) = -m**2 - 61*m + 196. Suppose -3*n - 51 = -2*i - 8, 0 = -2*n - 2. Let t = i + -25. Let s(c) = t*d(c) - 2*b(c). Factor s(g).
2*(g - 7)**2
Let f(v) be the first derivative of v**5/150 + 7*v**4/3 + 980*v**3/3 + 4*v**2 - 8*v + 217. Let l(q) be the second derivative of f(q). Factor l(m).
2*(m + 70)**2/5
Let a(i) = -2*i**2 + 3766*i - 887336. Let p(k) = 3*k**2 - 7531*k + 1774658. Let v(y) = 5*a(y) + 2*p(y). Factor v(t).
-4*(t - 471)**2
Suppose -5*f = 5*f - 30. Factor 4800*c + 2*c**f + 0*c**3 - 34229*c**2 + 34423*c**2 + 4608.
2*(c + 1)*(c + 48)**2
Let s(g) be the second derivative of g**6/50 - 21*g**5/50 - 49*g**4/20 - 17*g**3/5 + 191*g + 5. Factor s(t).
3*t*(t - 17)*(t + 1)*(t + 2)/5
Let a = -34 - -98. Suppose -3*b + a = 58. Suppose -4*l**4 + 0*l**4 - 38*l**3 + 68*l - 54 - 126*l**b - 185*l - 45*l = 0. Calculate l.
-3, -1/2
Let s(l) be the second derivative of l**7/168 - l**6/16 - 3*l**5/10 - 5*l**4/24 - 3357*l. Suppose s(n) = 0. Calculate n.
-2, -1/2, 0, 10
Let u(j) be the third derivative of j**6/150 + 11*j**5/75 + j**4 + 4*j**2 + 78*j. Factor u(l).
4*l*(l + 5)*(l + 6)/5
Let m(h) be the second derivative of -h**6/24 + 39*h**5/16 - 55*h**4/2 + 310*h**3/3 + 4479*h. Find q such that m(q) = 0.
0, 4, 31
Let p(d) be the first derivative of -1/6*d**3 + 1/4*d**2 + 0*d - 49. Factor p(m).
-m*(m - 1)/2
Suppose 32*z = 2*z + 60. Find w, given that 0*w**z + 92/3*w**4 - 2116/3*w**3 + 0 - 1/3*w**5 + 0*w = 0.
0, 46
Let i(x) = -3*x**3 - 17*x**2 + 53*x - 24. Let k be i(-8). Let z(w) be the second derivative of 0 + 2*w**2 - 1/3*w**4 + k*w**3 + 16*w. Factor z(h).
-4*(h - 1)*(h + 1)
Let x = 323002/5 + -64600. Determine s so that 0*s + 0 - 8/5*s**2 - 2*s**3 - x*s**4 = 0.
-4, -1, 0
Let d(z) = 0*z**2 + 2*z**2 + 6 - z**2 + 4 + 3*z. Let i be d(-7). Suppose 4*g**5 - 2*g**3 + i*g**2 - 2*g**5 - 38*g**2 = 0. Calculate g.
-1, 0, 1
Let o(c) be the third derivative of c**5/660 + 7*c**4/132 - 69*c**3/22 + 21*c**2 - 37. Factor o(p).
(p - 9)*(p + 23)/11
Let p = 1121/293 - -739/879. Determine s, given that 10 - p*s**2 - 14/3*s - 2/3*s**3 = 0.
-5, -3, 1
Let d be ((-20)/12*(12 - (-2492)/(-210)))/(4/(-45)). Suppose -2*z - 1/2*z**4 + 0 - d*z**3 - 4*z**2 = 0. What is z?
-2, -1, 0
Suppose -11*o + 1053 = -2*o. Factor 3*x**2 - 59 - 58 + o.
3*x**2
Let t be ((-1061)/(-2471))/((-198)/(-693)). Let w = t + -1/353. Factor w*h - 9/4 - 1/4*h**2.
-(h - 3)**2/4
Let r(a) be the first derivative of a**4/4 - 80*a**3/9 - 67*a**2/2 - 58*a/3 + 5468. Factor r(b).
(b - 29)*(b + 2)*(3*b + 1)/3
Let c(b) be the third derivative of 9*b**7/490 + 237*b**6/280 - 3077*b**5/140 + 1971*b**4/56 - 162*b**3/7 - b**2 - 7*b + 35. Let c(u) = 0. Calculate u.
-36, 1/3, 9
Let g(m) be the second derivative of -3*m**5/20 + 81*m**4/2 - 321*m**3/2 + 240*m**2 - 2926*m. Determine i, given that g(i) = 0.
1, 160
Let p(s) be the third derivative of -s**5/150 + s**4/5 + 32*s**3/3 + 112*s**2 - 21. Let p(v) = 0. Calculate v.
-8, 20
Let -10*n**3 - 45 + n**4 + 5732*n**2 - 5704*n**2 + 0*n**4 - 6*n = 0. Calculate n.
-1, 3, 5
Factor 5*n**3 - 7*n**3 - 119*n - 154*n + 5*n + 270*n**2.
-2*n*(n - 134)*(n - 1)
Let x(f) = 4*f**3 + 24*f**2 + 44*f + 28. Let l = 9 + -4. Let m(j) = -16 + 9048*j - 13 - 24*j**2 - 4*j**3 - 9092*j. Let i(v) = l*x(v) + 4*m(v). Factor i(o).
4*(o + 1)*(o + 2)*(o + 3)
Let s(v) = v**3 - 16*v**2 + 39*v + 8. Let p be s(13). Factor 19 + 6*o**3 + 38*o**2 - 31 + p*o - 12.
2*(o + 1)*(o + 6)*(3*o - 2)
Let b(u) = -u**2 - 8*u - 2. Let p be b(-10). Let k = p + 42. Factor 13*d**2 + 16 + 48*d + k + 4*d**2 + 3*d**3 + 4*d**2.
3*(d + 2)**2*(d + 3)
Suppose 4*j = 457 + 203. Factor j*z - 81*z + 150*z**2 - 5*z**4 + 35*z**3 - 119 - 64*z - 81.
-5*(z - 10)*(z - 1)*(z + 2)**2
Let j be (8/(-14) + (-54)/(-70))*0. Let b(x) be the first derivative of 1/40*x**5 - 1/16*x**2 - 1/24*x**3 + 1/32*x**4 - 23 + j*x. Find t such that b(t) = 0.
-1, 0, 1
Let a(n) be the third derivative of n**7/735 + 11*n**6/84 + 101*n**5/70 + 21*n**4/4 - n**2 - 21*n. Factor a(p).
2*p*(p + 3)**2*(p + 49)/7
Let c be -17 + 6302/115 + 27. Factor -4/5*s**2 + 72/5*s - c.
-4*(s - 9)**2/5
Factor 157573/2*i + 162409/2 - 2400*i**2 + 18*i**3.
(i + 1)*(6*i - 403)**2/2
Let l be 611/910*25 + -17 + (-659)/(-70). Factor -12 + 16/5*z**2 - l*z + 2/5*z**3.
2*(z - 3)*(z + 1)*(z + 10)/5
Let m = 226587 - 225691. Factor m*d + 386/7*d**2 + 6/7*d**3 + 2048/7.
2*(d + 32)**2*(3*d + 1)/7
Factor 53*w**2 - 17*w - 1148 - 21*w - w**3 + 836 - w - 7*w.
-(w - 52)*(w - 3)*(w + 2)
Let i(k) be the first derivative of -228*k**2 - 4/3*k**3 + 61 - 12996*k. Factor i(g).
-4*(g + 57)**2
Let d be 120/(-24) + (3 + -1)/1. Let u be d/14*(-8)/28*7. Determine z, given that 0 + u*z**2 + 9/7*z**3 - 3/7*z**5 - 3/7*z**4 - 6/7*z = 0.
-2, -1, 0, 1
Let p(y) be the third derivative of -1987675*y**6/8 - 9245*y**5/2 - 215*y**4/6 - 4*y**3/27 + 1648*y**2. Suppose p(l) = 0. What is l?
-2/645
Let v(b) be the second derivative of b**5/20 - 433*b**4/6 + 187489*b**3/6 - 415*b. Let v(a) = 0. Calculate a.
0, 433
Factor 308*g - 4*g**4 + 2*g**2 + 218 + 10*g**2 + 0*g**4 - 18 - 100*g**3.
-4*(g - 2)*(g + 1)**2*(g + 25)
Let a(x) = -18*x - 27. Let y(g) = 6*g - 188. Let k be y(31). Let d be a(k). Factor -33/2*o - 3/2*o**3 - 9 - d*o**2.
-3*(o + 1)*(o + 2)*(o + 3)/2
Suppose 2*z - 4*s = -3*z + 3, 3 = -3*z + 4*s. Factor z*x**3 + 243 - 297 + 24*x**2 - 21*x - 12*x.
3*(x - 2)*(x + 1)*(x + 9)
Let z be 187/(-4)*(-3)/1035*4. Let n = z - -4/69. Factor 1/5*x**5 + 1/5*x**3 + n*x**2 - 3/5*x**4 + 0 - 2/5*x.
x*(x - 2)*(x - 1)**2*(x + 1)/5
Let n(q) be the third derivative of 1/20*q**5 + 5*q**2 + 11 + 0*q - 2*q**3 - 3/8*q**4. Let n(r) = 0. What is r?
-1, 4
Let b = 1324/343 - 1/343. Let o = -33/14 + b. Factor 0*g + 0 - o*g**2.
-3*g**2/2
Let y = 22060 - 111198/5. Let g = y - -180. Factor 8/5*x + 0 + g*x**2.
2*x*(x + 4)/5
Let k(b) = -b**2 + 9*b - 6. Let y be k(7). Suppose 0 = y*x - 11*x + 27. Factor 3*w + 9 + 0 + w**2 - x.
w*(w + 3)
Let k(z) be the first derivative of -z**8/140 - 8*z**7/525 - z**6/150 - 29*z**2 - 50. Let d(i) be the second derivative of k(i). Factor d(t).
-4*t**3*(t + 1)*(3*t + 1)/5
Solve 369 + 108 - 3*d**2 + 152*d - 103*d - 199*d = 0 for d.
-53, 3
Let g(v) = 7*v**2 - 5*v - 9. Let m(z) = z**2 + z + 1. Let x(t) = -g(t) + 5*m(t). Let u be x(6). Factor 35/4*i**u - 5/4*i**3 - 75/4*i + 45/4.
-5*(i - 3)**2*(i - 1)/4
Let u(b) be the first derivative of -b**6/18 + b**5/5 + b**4/6 - 2*b**3/3 - b**2/6 + b + 2039. What is s in u(s) = 0?
-1, 1, 3
Let f(t) = -t**4 + 110*t**3 - 102*t**2 - 113*t + 112. Let c(k) = k**4 - 2*k**3 + 2*k**2 + k. Let q(a) = 3*c(a) - f(a). Determine s so that q(s) = 0.
-1, 1, 28
Let u(c) be the second derivative of 0*c**3 + 28*c + 1/6*c**4 + 0*c**2 + 0. Let u(v) = 0. Calculate v.
0
Suppose 56*y + 6375 - 6487 = 