 313*n**3/2 - 483*n**2 - 4278*n. Factor u(x).
3*(x - 14)*(x + 1)*(x + 23)
Let a(q) be the third derivative of 5/12*q**4 - 1/60*q**5 - 19*q - 25/6*q**3 - 2*q**2 + 0. Factor a(l).
-(l - 5)**2
Let n(r) be the first derivative of -2*r**5/25 + 9*r**4/2 + 484*r**3/15 + 396*r**2/5 + 80*r - 4453. Solve n(h) = 0 for h.
-2, -1, 50
Let f(l) be the third derivative of -l**7/105 - 31*l**6/15 + 21*l**5/5 + 31*l**4/3 - 125*l**3/3 + 491*l**2. Solve f(u) = 0 for u.
-125, -1, 1
Suppose 111 = 5*x + 96. Factor 16*n - 24*n**3 + 9*n**4 - 5*n**4 + 12*n**x.
4*n*(n - 2)**2*(n + 1)
Suppose 4*b = 10*b - 24. Find p, given that 6*p**3 - 40*p + 83*p - 37*p - 11*p**2 + 0*p**4 - p**b = 0.
0, 1, 2, 3
Suppose 5*v - 10*w = -7*w + 11489, 4*v - 3*w - 9190 = 0. Let u = v + -6896/3. Factor -50/3 - 4*b**2 + 15*b + u*b**3.
(b - 5)**2*(b - 2)/3
Suppose 42*k = 13*k + 40 + 47. Factor 5/2*u + 15/2*u**k - 5/2*u**4 + 0 - 15/2*u**2.
-5*u*(u - 1)**3/2
Let d(y) be the third derivative of -3/2*y**4 - 8 + 1/10*y**5 + 2*y**2 + 0*y - 1/360*y**6 + 12*y**3. What is z in d(z) = 0?
6
Solve -1616/5 + 4/5*h**3 - 388/5*h**2 - 320*h = 0 for h.
-2, 101
Suppose -135*j = -133*j - 98. Factor -32 + 6 - j + 220*k + 15*k**2.
5*(k + 15)*(3*k - 1)
Suppose -2*c + 4*s - 69 = -s, 3*s = 4*c + 131. Let f be c/(-48) - (-4)/3. Factor -7*r**3 + 4 + r**f - r**2 + 9*r + 7*r + 5*r**2.
-(r - 2)*(r + 1)*(7*r + 2)
Let b(g) be the second derivative of -g**7/1260 + g**6/30 + 13*g**5/60 - 11*g**4/6 - 78*g. Let i(p) be the third derivative of b(p). Factor i(d).
-2*(d - 13)*(d + 1)
Let h(l) be the first derivative of -9*l**3 - 15/2*l**2 + 3/5*l**5 + 71 + 0*l - 9/4*l**4. Factor h(u).
3*u*(u - 5)*(u + 1)**2
Let b(h) = 2*h**2 + 1. Let o(p) = p**2 + 3*p - 27. Let v be o(-7). Let w(u) = -3*u**3 + 4*u**2 + 12*u + 29. Let l(y) = v*w(y) - 5*b(y). Factor l(d).
-3*(d - 2)*(d + 2)**2
Let g be 150/(-825)*(-11)/80. Let n(q) be the third derivative of 0 - 3/2*q**3 + 0*q - g*q**6 + 5/8*q**4 - 1/20*q**5 - q**2. Factor n(t).
-3*(t - 1)**2*(t + 3)
Let s be 2/5 - (-8)/5. Let m = 11406 - 11402. Find x such that 60 + 101*x + m*x**2 - x**s - 74*x - 18 = 0.
-7, -2
Let m(r) = -9*r**3 - 12*r**2 - 96*r - 58. Let n(q) = 18*q**3 + 16*q**2 + 193*q + 118. Let y(o) = -11*m(o) - 5*n(o). Determine g so that y(g) = 0.
-3, -16/9, -1
Let w = 695 + -690. Let d be (w + 88/(-24))/3. Factor d*a + 4/3*a**3 + 4/3*a**2 + 4/9*a**4 + 0.
4*a*(a + 1)**3/9
Let m be (-3)/(-24) + 0 + (265310/560)/43. Let u = -1704 - -11948/7. Factor 148/7*b**2 + 48/7 + 136/7*b + m*b**3 + 2/7*b**5 + u*b**4.
2*(b + 1)*(b + 2)**3*(b + 3)/7
Let y be (-35600)/1000 + 144/4. Factor 24/5 + 22/5*f - y*f**2.
-2*(f - 12)*(f + 1)/5
Factor -2288*a + 135520 - 106*a**2 - 172*a**3 + 58*a**3 + 60*a**3 + 56*a**3.
2*(a - 44)**2*(a + 35)
Suppose -18*n - 32 = -122. Factor -x**n + 0*x**5 - 70*x**4 + 35*x**3 - 14*x**5 - 49*x**4 + 19*x**4.
-5*x**3*(x + 7)*(3*x - 1)
Factor 4/9*b**2 + 4000000 - 8000/3*b.
4*(b - 3000)**2/9
Let a(x) = 13*x - 74. Let i be a(6). Suppose -i*o**2 + 170*o + 46*o - 2438 - 478 = 0. Calculate o.
27
Let q(g) be the second derivative of -g**5/140 - 9*g**4/14 - 131*g**2/2 + 134*g. Let y(d) be the first derivative of q(d). Solve y(j) = 0.
-36, 0
Let l be (-1280)/1600*(-5)/8. Let z(i) be the first derivative of l*i**2 - 24 + 2*i - 1/3*i**3. Let z(x) = 0. What is x?
-1, 2
Let r(s) = 5*s**2 - 90*s - 250. Let z(w) = -w**2 + 23*w + 62. Let i(x) = 6*r(x) + 25*z(x). Factor i(v).
5*(v + 2)*(v + 5)
Suppose -7559*u**3 + 9506*u - 94864 + 4816*u - 324*u**2 + 7561*u**3 = 0. Calculate u.
8, 77
Let b be (72/(-27))/(6/45). Let g be (20 + b)/(2*(-4)/(-4)). Find f, given that 2/5*f - 2/5*f**3 + g + 2/5*f**4 - 2/5*f**2 = 0.
-1, 0, 1
Let d(z) be the third derivative of -z**8/224 + z**7/7 - 39*z**6/40 + z**5 + 79*z**4/16 - 15*z**3 + 7*z**2 - 116*z. Suppose d(b) = 0. What is b?
-1, 1, 4, 15
Let z(w) be the third derivative of 1/18*w**5 + 87*w**2 + 0 + 0*w + 2/27*w**3 - 11/108*w**4. Factor z(v).
2*(3*v - 1)*(5*v - 2)/9
Let w(v) = -2*v**4 - 10*v**3 + 14*v**2 + 12*v + 10. Suppose 51 + 489 = 27*c. Let n(f) = f**3 - 1. Let m(y) = c*n(y) + 2*w(y). Factor m(u).
-4*u*(u - 3)*(u + 1)*(u + 2)
Let j be -12 - 1317/(-108) - (-2)/(72/2). Suppose 3/2 - j*c**2 + 1/4*c = 0. Calculate c.
-2, 3
Let a(c) be the second derivative of c**5/20 + 5*c**4/12 + 7*c**3/6 + 5*c**2/2 + c. Let q be a(-2). Factor 6*m**q + m + 10*m**3 + 0*m - 17*m**3.
-m*(m - 1)*(m + 1)
Let q(x) = -4*x**2 + 7*x - 1. Let i(z) = 11*z**2 + 102*z - 596. Let t(k) = -i(k) - 4*q(k). Determine a, given that t(a) = 0.
6, 20
Let p = 717 - 715. Let -13990*y**2 - 24 + 65*y + 13975*y**p + y = 0. What is y?
2/5, 4
Let y(p) = 39*p + 13. Let w be y(11). Factor u**2 + 430*u - w*u - 10 - 3.
(u - 13)*(u + 1)
Let q(h) be the first derivative of h**6/600 + 11*h**5/100 + 121*h**4/40 + 5*h**3/3 + 2*h**2 + 67. Let c(k) be the third derivative of q(k). Factor c(n).
3*(n + 11)**2/5
Factor 1/5*j**3 - 6/5*j - j**2 + 0.
j*(j - 6)*(j + 1)/5
Let q(r) = -r**3 + 472*r**2 + 24340*r + 421820. Let u(s) = -2*s**3 + 1415*s**2 + 73019*s + 1265461. Let o(y) = -11*q(y) + 4*u(y). What is i in o(i) = 0?
-52
Let b(r) be the first derivative of -657721*r**3/15 + 2433*r**2/5 - 9*r/5 - 2031. Factor b(w).
-(811*w - 3)**2/5
Let c(h) be the third derivative of 5*h**2 - 2/5*h**6 - 1/3*h**4 + 11/15*h**5 + 0*h**3 + 0*h - 6/35*h**7 - 8. Factor c(z).
-4*z*(z + 2)*(3*z - 1)**2
Let y be (-1 - 2) + (-14)/((-36750)/7845). Let m = 1768/1575 + y. Factor 8/9*p**2 + 2/9*p**3 + 4/9 + m*p.
2*(p + 1)**2*(p + 2)/9
Let c(z) = -2*z**2 + 7*z - 38. Let o be c(-17). Let i = 737 + o. Factor 10 + 5/3*b**i + 25/3*b.
5*(b + 2)*(b + 3)/3
Let x(u) = -u - 1. Let s be x(-3). Let 772*r**3 - 21*r - 774*r**3 + 54*r**s - 11*r - 20*r**2 = 0. Calculate r.
0, 1, 16
Let n(y) = -y**2 - 21*y + 1017. Let c be n(-44). Let s(u) be the third derivative of 1/15*u**3 + 1/12*u**4 + 3*u**2 + 2/75*u**c + 0 + 0*u. Solve s(j) = 0.
-1, -1/4
Let r = -297 + -158. Let n be 2/(-7) + (-1222)/r. Let -n*a**3 - 3*a**2 + 0 - 3/5*a**4 - 6/5*a = 0. What is a?
-2, -1, 0
Suppose 0 = -128*t + 261*t. Let g(r) be the first derivative of 2*r**3 + 1 + 3/5*r**5 - 9/4*r**4 + 0*r + t*r**2. Solve g(d) = 0.
0, 1, 2
Factor 144/5 + 39/5*y - 83/5*y**2 - 1/5*y**4 + 21/5*y**3.
-(y - 16)*(y - 3)**2*(y + 1)/5
Let w(h) = 2*h - 32. Let q = -55 + 73. Let g be w(q). Factor -g + 4*t**2 - 13*t**2 + 5*t**2 + 10*t - 2*t.
-4*(t - 1)**2
Suppose -62*a + 71*a - 504 = 0. Suppose -167 = -a*u + 1. Factor -2/9 - 8/9*t - 8/9*t**u - 4/3*t**2 - 2/9*t**4.
-2*(t + 1)**4/9
Let x be (16/12)/(12/(-19246)). Let u = 2142 + x. Factor -u*s**2 - 52/9*s - 4/9*s**3 - 8/3.
-4*(s + 1)**2*(s + 6)/9
Let r(o) = 15*o**2 - 5. Let l(n) = -88*n**2 + 32*n - 180. Let h(t) = 2*l(t) + 12*r(t). Factor h(x).
4*(x - 5)*(x + 21)
Let z be (-118)/(-4) + (120/16 - 5). Suppose 0 = 83*u - 67*u - z. Suppose 5/4*j + 1/4*j**u + 0 = 0. Calculate j.
-5, 0
Let j(w) = -3*w**3 - 9*w**2 + 2*w - 31. Let m be j(-7). Factor 285*z**2 - 5*z**5 + 0*z**5 - 60*z**3 - 15*z + 30*z**4 - m*z**2 + 308*z**2.
-5*z*(z - 3)*(z - 1)**3
Let y(z) be the second derivative of 6*z**7/7 - 4*z**6 - 68*z**5/5 - 34*z**4/3 - 10*z**3/3 - 741*z. Let y(d) = 0. What is d?
-1, -1/3, 0, 5
Factor 0 - 153/2*i + 3/2*i**2.
3*i*(i - 51)/2
Let l be (2/4*33 + 1088 + -1097)*(-24)/(-9). Find j, given that -672/5*j - l*j**2 - 576/5 - 4/5*j**3 = 0.
-12, -1
Let v(r) be the third derivative of -r**5/360 - 35*r**4/72 - 124*r**3/9 + 871*r**2. Factor v(c).
-(c + 8)*(c + 62)/6
Let l(c) = -53*c**4 - 34*c**3 + 195*c**2 + 163*c + 26. Let h(j) = 317*j**4 + 206*j**3 - 1169*j**2 - 977*j - 158. Let q(t) = 6*h(t) + 34*l(t). Factor q(o).
4*(o - 2)*(o + 2)*(5*o + 2)**2
Let h(c) be the first derivative of -8*c**6/9 - 292*c**5/15 - 66*c**4 + 2188*c**3/9 - 376*c**2/3 - 112*c + 2516. Suppose h(t) = 0. Calculate t.
-14, -6, -1/4, 1
Let q be ((-22)/(-4) + -1)*(-1960)/147. Let u = -58 - q. Factor -7 - 1 - 14*g + 8 - 2*g**u.
-2*g*(g + 7)
Let x(z) = z**3 - 7*z**2 + 10*z - 9. Let n be x(6). Suppose 2*c = -n + 19. What is y in 16*y**c - 3 - 4*y**3 + 11 - 14*y - 6*y = 0?
1, 2
Let b(x) be the first derivative of -x**5 - 120*x**4 - 10520*x**3/3 + 24000*x**2 - 50000*x + 182. Factor b(l).
-5*(l - 2)**2*(l + 50)**2
Let m(s) be the second derivative of s**6/90 + s**5/5 - 55*s**4/6 - 3146*s**3/9 - 9317*s**2/2 - 680*s. Solve m(q) = 0.
-11,