15*x**4/72 - 3*x**3 - 911*x**2. Factor h(r).
-(r - 27)*(19*r - 2)/3
Suppose -3*m + 2 = -4*m + 2*y, -5*y = 5*m - 35. Factor -4*q**m + 17*q**3 + 87*q - 39*q - 64*q**2 + 11*q**3.
-4*q*(q - 3)*(q - 2)**2
Let o(r) be the second derivative of 0*r**2 - 1/90*r**6 + 82*r + 1/36*r**4 + 0*r**5 + 0*r**3 + 0. Factor o(z).
-z**2*(z - 1)*(z + 1)/3
Let a be (4 - 16/6) + ((-107)/(-12) - 9). Let y(q) be the first derivative of -q**5 + 0*q**2 - 16 + 0*q**3 + 0*q + a*q**4. Determine n so that y(n) = 0.
0, 1
Let d(p) be the second derivative of p**4/48 + 28*p**3 + 14112*p**2 - 297*p - 1. Solve d(q) = 0.
-336
Suppose -35*v = -7*v - 56. Let p(a) be the second derivative of 0 - 22*a + 10*a**3 - 5/12*a**4 - 90*a**v. Factor p(j).
-5*(j - 6)**2
Let c(m) = m**4 - m**3 + 5*m**2 - m + 1. Let d(s) = 10*s**4 - 8*s**3 + 43*s**2 - 9*s + 9. Let a(j) = -18*c(j) + 2*d(j). Factor a(o).
2*o**2*(o - 1)*(o + 2)
Let u(q) be the third derivative of -q**8/2240 - q**7/280 + q**6/15 - 3*q**5/10 + 31*q**4/24 - 304*q**2. Let s(v) be the second derivative of u(v). Factor s(o).
-3*(o - 2)*(o - 1)*(o + 6)
Let o(f) be the first derivative of 7*f**6/24 - 163*f**5/12 + 115*f**4/12 + 5*f**2/2 - 9*f + 46. Let n(a) be the second derivative of o(a). Factor n(p).
5*p*(p - 23)*(7*p - 2)
Suppose 2554*q - 2556*q - 4 = 0. Let t be q/14*((-188)/(-36) - 6). Factor t*v**4 + 0 + 2/9*v**3 + 1/9*v**2 + 0*v.
v**2*(v + 1)**2/9
Let l(h) be the first derivative of -h**3/2 + 270*h**2 - 48600*h - 559. Find r such that l(r) = 0.
180
Let u be -3 + 33 + 36/6. Factor 25*c**2 - 95*c**2 - u*c + 57*c**2 - 4*c**3 + 53*c**2.
-4*c*(c - 9)*(c - 1)
Factor 871*w**3 - 296*w**2 - 849*w**3 - 129*w + 15*w - 116*w**2.
2*w*(w - 19)*(11*w + 3)
Let c(b) be the first derivative of 3*b**4/4 + 19*b**3 + 111*b**2 + 168*b + 3679. Factor c(n).
3*(n + 1)*(n + 4)*(n + 14)
Solve 0 - 8/9*n**3 - 292/9*n - 18*n**2 = 0 for n.
-73/4, -2, 0
Let t(j) be the second derivative of j**6/30 + 7*j**5/10 - j**4/4 - 22*j**3/3 - 14*j**2 + 206*j - 2. Factor t(m).
(m - 2)*(m + 1)**2*(m + 14)
Let o(x) be the second derivative of 8*x**7/63 + 2848*x**6/45 - 2858*x**5/15 + 2146*x**4/9 - 2863*x**3/18 + 179*x**2/3 + 6526*x. Determine s so that o(s) = 0.
-358, 1/2
Let c(i) be the second derivative of 13/15*i**6 - 35/3*i**4 + 21/5*i**5 - 475/3*i**3 - 375*i**2 + 220*i + 1/21*i**7 + 0. Factor c(v).
2*(v - 3)*(v + 1)*(v + 5)**3
Let a = -174 - -177. Suppose 13*x - a*x = 30. Suppose 3/4*y**x + 0*y - 3/4*y**2 + 0 = 0. What is y?
0, 1
Let n(c) be the first derivative of -2*c**5/5 + 20*c**4 - 986*c**3/3 + 1734*c**2 + 2394. Factor n(s).
-2*s*(s - 17)**2*(s - 6)
Let x = 13 - 0. Suppose x*a = 8*a + 25. Suppose -4*j**5 - a*j**4 - 2*j**5 + j**5 = 0. Calculate j.
-1, 0
Suppose -1010/3*w - 1/3*w**2 - 255025/3 = 0. Calculate w.
-505
Find y, given that 0*y + 0 - 356*y**2 - 2/5*y**3 = 0.
-890, 0
Factor -1528*j + j**2 + j**2 - 305123 + 0*j**2 - 4*j**2 + 13275.
-2*(j + 382)**2
Let c be ((-15)/10)/((-2)/4). Let h be 3 + c*8/3. Let t**2 - 32 + h*t + 57 - t = 0. What is t?
-5
Let f be ((-6)/390)/(10/(-100)). Find q such that 10/13*q + 8/13 + f*q**2 = 0.
-4, -1
Let h(i) = 17 - 13*i + 40*i + 8*i**3 - 2*i - 16*i. Let k(z) = -3*z**3 - 3*z - 6. Let c = -15 + 11. Let g(w) = c*h(w) - 11*k(w). Factor g(x).
(x - 2)*(x + 1)**2
Find v such that 2/3*v**2 + 850 + 520/3*v = 0.
-255, -5
Let k(w) be the second derivative of w**7/42 - 3*w**6/10 + 5*w**5/4 - 9*w**4/4 + 5*w**3/3 + 1303*w. Factor k(a).
a*(a - 5)*(a - 2)*(a - 1)**2
Let l(k) be the first derivative of -k**5/15 - 5*k**4/3 + 22*k**3/3 + 2*k**2 + 2*k - 58. Let s(j) be the second derivative of l(j). Suppose s(y) = 0. What is y?
-11, 1
Let g(i) be the third derivative of -7*i**5/66 - 79*i**4/132 - 6*i**3/11 - 1792*i**2. Solve g(n) = 0.
-2, -9/35
Let i be -3 - (-5)/((-10)/(-778)). Let y = -382 + i. Factor 0 + 0*n**2 - n**3 + 0*n - 3/2*n**y.
-n**3*(3*n + 2)/2
Let q(o) be the second derivative of -o**7/231 + o**6/33 + 48*o**5/55 - 58*o**4/33 - 368*o**3/33 + 384*o**2/11 + 3*o + 118. Let q(b) = 0. What is b?
-8, -2, 1, 2, 12
Let c(n) be the third derivative of 151*n**2 - 10/3*n**3 + 0 + 0*n - 841/12*n**5 + 145/6*n**4. Determine u so that c(u) = 0.
2/29
Suppose 0 = 25*w - 3 + 503. Let z be w/(-30) + 35/15. Factor 12/5*y**z + 8/5 - 32/5*y**2 + 12/5*y.
4*(y - 2)*(y - 1)*(3*y + 1)/5
Let u(d) be the first derivative of 31*d + 2/7*d**2 - 1/21*d**3 - 16 + 1/70*d**5 - 1/21*d**4. Let r(x) be the first derivative of u(x). Factor r(o).
2*(o - 2)*(o - 1)*(o + 1)/7
Let d(c) be the first derivative of 0*c - 34*c**3 + 1/4*c**4 - 133 + 2601/2*c**2. Factor d(o).
o*(o - 51)**2
Let j be (41 + 1)/((-13)/(39/(-6))). Let z(g) = g**3 + 3*g**2 + 3. Let q be z(-3). What is a in q*a**3 - 15*a**2 + 2 + j*a - 7 - 4 = 0?
1, 3
Find n, given that 88209/5 + 1/5*n**2 + 594/5*n = 0.
-297
Let b(w) be the first derivative of -w**7/2940 + w**6/140 - w**5/70 - 4*w**4/21 - 58*w**3 - 143. Let i(g) be the third derivative of b(g). Factor i(l).
-2*(l - 8)*(l - 2)*(l + 1)/7
Let s(h) be the second derivative of -2*h + 24 + 1/2*h**3 - 1/12*h**4 + 5*h**2. Solve s(a) = 0.
-2, 5
Let l(i) be the third derivative of 0*i - 1/4*i**3 + 118*i**2 - 1/20*i**5 + 0 - 3/16*i**4. Factor l(j).
-3*(j + 1)*(2*j + 1)/2
Suppose 4*y + 0 = 12, y - 23 = -5*m. Factor m*d**2 - 190 + 67 + 48*d + 71.
4*(d - 1)*(d + 13)
Let s(z) be the third derivative of z**5/12 - 565*z**4/12 - 429*z**2 + 2. Factor s(y).
5*y*(y - 226)
Determine r, given that 58 + 3*r - 200 + 42 - 257 - r**2 + 35*r = 0.
17, 21
Let v = 2 + -2. Let n be 33*4/6 + (-3480)/174. Factor 1/7*m**3 + 0*m + 3/7*m**n + v.
m**2*(m + 3)/7
Suppose 13764/5*c - 11142/5*c**2 - 3/5*c**4 - 369/5*c**3 + 69192/5 = 0. What is c?
-62, -2, 3
Let z(y) = -10*y - y**2 - y**2 - y**2 - 2*y**2 + 18. Let h(o) = 4*o**2 + 10*o - 16. Let r(n) = 3*h(n) + 2*z(n). Suppose r(c) = 0. What is c?
-6, 1
Let y(o) be the first derivative of -o**4/8 + 7*o**3/2 - 99*o**2/4 + 135*o/2 + 575. Factor y(w).
-(w - 15)*(w - 3)**2/2
Let q(d) be the third derivative of d**5/360 - 323*d**4/18 + 417316*d**3/9 - 3465*d**2. Determine a so that q(a) = 0.
1292
Let i(t) be the third derivative of -t**7/420 - t**6/48 - t**5/15 - t**4/12 - 260*t**2. Let i(d) = 0. What is d?
-2, -1, 0
Let s(k) be the second derivative of -78*k + 3*k**3 + 3/7*k**7 - 2/3*k**4 + 2*k**2 - 9/5*k**5 + 1 + 2/15*k**6. Suppose s(f) = 0. Calculate f.
-1, -2/9, 1
Let a = 854 - 877. Let b = -23 - a. Factor -2/17*m**2 + 4/17*m + b.
-2*m*(m - 2)/17
Let u(b) = 9*b**2 - 1620*b + 1614. Let r(f) = -2*f**2 + 1. Let x(p) = 3*r(p) + u(p). Factor x(y).
3*(y - 539)*(y - 1)
Let t = 11920/721 - 1644/103. Factor 0*b - t*b**4 + 4/7*b**2 - 4/7*b**3 + 0 + 4/7*b**5.
4*b**2*(b - 1)**2*(b + 1)/7
Find o, given that 0 - 1/4*o**3 - 30*o - 31/2*o**2 = 0.
-60, -2, 0
Let o be 3 - 3/((-12)/(-124)). Let t = -21 - o. Solve 4*g + 4*g**4 + g**4 - 4*g**3 - t*g**4 + 2 = 0 for g.
-1, 1
Let c(k) be the first derivative of k**6/2 + 9*k**5/5 - 12*k**4 + 12*k**3 - 292. Factor c(u).
3*u**2*(u - 2)*(u - 1)*(u + 6)
Let u = -14 + 17. Let b be 1 + (4 - u - 0). Factor -2 - 5*o - 88*o**b + 93*o**2 + 2.
5*o*(o - 1)
Let j(d) be the third derivative of -d**6/1440 - 7*d**5/40 - 147*d**4/8 - 61*d**3/2 + 27*d**2 + 2*d. Let w(r) be the first derivative of j(r). Factor w(h).
-(h + 42)**2/4
Suppose -798 = -37*v - v. Let f(b) = 3*b**3 - 26*b**2 - 15*b + 7. Let s(p) = -p**3 + 8*p**2 + 5*p - 2. Let m(r) = v*s(r) + 6*f(r). Factor m(q).
-3*q*(q - 5)*(q + 1)
Factor -8 - 186*r**2 + 174 - 3*r**3 + 30 + 987*r - 874 - 528.
-3*(r - 3)*(r - 2)*(r + 67)
Let t(l) = 8*l**2 + 101*l - 966. Let g be t(-19). Factor 1/3*h**g - 1/3*h**4 + 0 + 0*h + 2/3*h**2.
-h**2*(h - 2)*(h + 1)/3
Suppose 94*j + 81*j = 20*j - 83*j + 476. Find h, given that 17/3*h**3 - 8 - 5/3*h**4 + 28/3*h + 74/3*h**j = 0.
-2, -1, 2/5, 6
Let n(c) = c**3 - 5*c**2 - 8*c + 14. Let o(s) = 6*s + 114. Let h be o(-18). Let q be n(h). Factor q*b**3 - 2/3*b**5 + 0*b**4 + 4/3*b**2 + 0*b + 0.
-2*b**2*(b - 2)*(b + 1)**2/3
Suppose 330*m + 1779 + 994 + 5*m**2 - 733 + 3405 = 0. Calculate m.
-33
Let x(a) be the second derivative of -a**7/42 + a**6/4 + a**5/12 - 5*a**4/4 - 9*a**2 - 25*a. Let v(c) be the first derivative of x(c). Factor v(o).
-5*o*(o - 6)*(o - 1)*(o + 1)
Let q(c) be the second derivative of 67/63*c**3 + 75*c + 0 + 19/18*c**4 + 23/70*c**5 + 10/21*c**2 + 1/35*c