ve of -o**6/240 - 11*o**5/120 - o**4/2 + 3*o**3 - 120*o**2 + 259*o. Let l(i) be the first derivative of f(i). Factor l(d).
-(d - 1)*(d + 6)**2/2
Let a(z) = 36*z**2 - 11224*z - 7873641. Let v(h) = 14*h**2 - 5612*h - 3936820. Let q(i) = 2*a(i) - 5*v(i). Determine g so that q(g) = 0.
-1403
Let w(k) be the third derivative of -k**6/8 - 53*k**5/20 + 185*k**4/4 - 156*k**3 + 2*k**2 + 846*k. Factor w(n).
-3*(n - 4)*(n - 1)*(5*n + 78)
Let r(a) = 6*a - 14. Let y be r(1). Let k be -4*((-52)/y + -7). What is b in -1/2*b**k + 1/4*b + 1/4 = 0?
-1/2, 1
Suppose -p - 3*u + 9 = 0, -3*u + 9 = 2*p - 18. Let x be p/20*(-2660)/(-912). Factor -23/8*o - 1/4 - x*o**2.
-(o + 1)*(21*o + 2)/8
Let s(k) be the first derivative of -3*k**8/28 - k**7/5 - k**6/30 + k**5/30 + 7*k**2/2 - 68. Let r(h) be the second derivative of s(h). Solve r(f) = 0.
-1, -1/3, 0, 1/6
Let g(z) be the third derivative of 2 - 4/5*z**6 + 2303/60*z**5 + 4*z**4 + 1/210*z**7 - 12*z**2 + 0*z - 384*z**3. Factor g(h).
(h - 48)**2*(h - 1)*(h + 1)
Suppose -m + 3*a - 36 = 0, 3*m - 4*a - 1244 = -1292. Find t such that 9/2*t + m - 15*t**2 + 9/2*t**3 = 0.
0, 1/3, 3
Let y = -51645 + 51645. Let s = 1/2 - 3/10. Factor 0*d**2 + y*d - s*d**3 + 0.
-d**3/5
Let l(y) be the second derivative of y**5/140 - 155*y**4/42 + 3*y - 620. Solve l(o) = 0.
0, 310
Let k be (6/(-38))/((-458)/4351). Factor k*x**4 + 36*x**2 - 12*x**3 - 48*x + 24.
3*(x - 2)**4/2
Let i = 385763 - 385761. Find f, given that 42 - 22/7*f**i - 2/7*f**3 - 2*f = 0.
-7, 3
Factor 13*u + 100/3 - 11/6*u**2.
-(u + 2)*(11*u - 100)/6
Let j(l) be the first derivative of 15/2*l**2 + 5/72*l**4 - 19 - 1/180*l**5 - 2/9*l**3 + 0*l. Let p(r) be the second derivative of j(r). Factor p(q).
-(q - 4)*(q - 1)/3
Find x, given that 261306 - 4090*x - 195078 - 2387318 + 64*x**2 - 1860935 - 65*x**2 = 0.
-2045
Let y be (30/(-200))/(14/(-784)) - ((-24)/3 + 2). Factor -6*f**2 - 12/5*f + 3/5*f**4 + 3/5*f**3 + y.
3*(f - 2)**2*(f + 2)*(f + 3)/5
Let q be (-4)/(12/(-3)) + -1. Let w be 1/(-10) + ((-602)/(-70) - 8). Let 0*f**3 + w*f**2 - 1/2*f**4 - 1/4*f + q + 1/4*f**5 = 0. What is f?
-1, 0, 1
Let o = -5529 - -387033/70. Let g(a) be the third derivative of 1/20*a**6 + 0*a + 0 + 3*a**2 + o*a**7 + 0*a**5 + 0*a**3 + 0*a**4 + 1/112*a**8. Solve g(p) = 0.
-2, -1, 0
Let p(r) be the second derivative of -2/75*r**6 + 0*r**3 + 8*r - 1/105*r**7 + 0 + 0*r**2 + 7/50*r**5 - 2/15*r**4. Factor p(s).
-2*s**2*(s - 1)**2*(s + 4)/5
Solve -2/3*r**2 + 0 - 1052/3*r = 0.
-526, 0
Let r(n) be the second derivative of -n**5/10 + 67*n**4/2 + 202*n**3/3 - 1313*n. Suppose r(a) = 0. What is a?
-1, 0, 202
Suppose -g = -7*g + 17*g + 20*g. Let p(r) be the second derivative of -31*r + 0 + g*r**2 + 1/48*r**4 + 1/12*r**3. Solve p(c) = 0.
-2, 0
Let d = -75 - -95. Suppose 13*m - 6 - d = 0. Solve 23*o - 2*o**m - 2*o**2 + o**3 - 19*o = 0.
0, 2
Suppose 6186*a - 6179*a = 28. Factor 0 + 21/4*j**2 - 3/4*j**a - 9/2*j + 0*j**3.
-3*j*(j - 2)*(j - 1)*(j + 3)/4
Let n(u) be the first derivative of u**4/20 - 7*u**3/3 + 49*u**2/5 - 64*u/5 + 1908. Solve n(x) = 0 for x.
1, 2, 32
Let u(b) be the second derivative of -b**4/42 - 251*b**3/21 + 762*b**2/7 - 100*b - 13. Find l such that u(l) = 0.
-254, 3
Let c(v) be the third derivative of v**5/300 - v**4/40 - 14*v**3/15 - 120*v**2 - 1. Factor c(x).
(x - 7)*(x + 4)/5
Let f(g) be the first derivative of 2*g**5/5 + 27*g**4/2 + 86*g**3 + 53*g**2 - 420*g - 2693. Suppose f(l) = 0. Calculate l.
-21, -5, -2, 1
Let p = 16 - 19. Let o = 5 + p. Factor -5 + 0 + 2*f + 6*f - 5*f**2 + o*f.
-5*(f - 1)**2
Suppose -4*h + 1 = q + 20, -5*h - 25 = 0. Let i be q + (8/16)/((-1)/(-2)). What is f in -7*f**4 - 63*f**i + 5*f**4 - 21*f**2 - 16 - 64*f - 6*f**4 - 44*f**3 = 0?
-2, -1, -1/2
Let l(c) be the first derivative of 4*c**2 + 2/21*c**3 + 0*c - 124. Factor l(j).
2*j*(j + 28)/7
Let k be -3*10/(-15)*31. Solve -13*i**2 + 52*i + 80 - 39*i + k*i + 8*i**2 = 0 for i.
-1, 16
Let q(y) = 18*y**4 + 1007*y**3 + 250*y**2 - 2*y. Let r(a) = -485*a**4 - 27190*a**3 - 6750*a**2 + 55*a. Let s(v) = 55*q(v) + 2*r(v). Factor s(t).
5*t**2*(t + 50)*(4*t + 1)
Let t = -15 + 26. Suppose -4*i = -t*i + 35. Determine s so that -11*s**3 - 5*s**4 + s**3 - 10*s**2 - i*s**3 = 0.
-2, -1, 0
Let x(l) be the third derivative of -l**7/420 - 7*l**6/120 - 53*l**5/120 - 5*l**4/6 + 1732*l**2. Factor x(u).
-u*(u + 1)*(u + 5)*(u + 8)/2
Factor 18*a**2 + 7*a**4 - 15*a**4 - 9*a**4 + 12*a**3 + 8*a + 19*a**4.
2*a*(a + 1)**2*(a + 4)
Let c(h) be the third derivative of 5/24*h**4 + 0*h - 11*h**2 - 2 + 1/12*h**5 - 10*h**3. Factor c(g).
5*(g - 3)*(g + 4)
Let x = 163479/11 - 14859. Let p(u) be the first derivative of 10 - x*u**2 - 54/11*u - 2/11*u**3. Factor p(q).
-6*(q + 1)*(q + 9)/11
Let m(y) be the first derivative of 78 - 2/35*y**5 + 0*y + 1/7*y**4 + 2/7*y**3 + 0*y**2. Factor m(z).
-2*z**2*(z - 3)*(z + 1)/7
Let c be 2/(-4) + (-3638)/(-68). Let s = -53 + c. Suppose -t + s + 4/3*t**2 - 1/3*t**3 = 0. Calculate t.
0, 1, 3
Let -63*a**5 - 59*a**3 - 20*a**4 + 169*a**5 + 479*a**3 + 800*a**2 + 320*a - 66*a**5 - 75*a**5 = 0. Calculate a.
-2, -4/7, 0, 4
Let n(f) be the third derivative of 3/8*f**4 - 4/105*f**7 + 0*f**3 - 1/12*f**6 - f**2 + 0 + 1/336*f**8 + f + 2/15*f**5. Factor n(k).
k*(k - 9)*(k - 1)*(k + 1)**2
Let b(r) = -174*r - 5217. Let d be b(-30). Let p(m) = 5*m - 25. Let n be p(5). Determine z so that 3/2*z**2 + n - d*z = 0.
0, 2
Let i be (2 - 1)/((-2)/(-4)). Suppose -9*a + 36 = -0*a. Solve 0 - 2/3*o**3 + 1/3*o**a + 0*o + 1/3*o**i = 0 for o.
0, 1
Suppose 14 - 1/4*f**4 + 27*f + 31/2*f**2 + 9/4*f**3 = 0. What is f?
-2, -1, 14
Let -5/3*r**4 - 535*r**2 + 2185/3*r - 185/3*r**3 + 3610/3 = 0. What is r?
-19, -1, 2
Let u = 308 + -311. Let i be 37/74 - (27/6)/u. Factor 10/3 - i*l**2 - 28/3*l.
-2*(l + 5)*(3*l - 1)/3
Factor 52/5*m**2 + 4/5*m**3 - 36 - 132/5*m.
4*(m - 3)*(m + 1)*(m + 15)/5
Let x be (-2)/(-14)*6818/29220. Let b(o) be the second derivative of 10*o + x*o**4 - 3/5*o**3 + 0 + 8/5*o**2. Factor b(l).
2*(l - 8)*(l - 1)/5
Let z(t) = -25*t**3 - 39*t**2 + 208*t - 3. Let p(h) = -33*h**3 - 40*h**2 + 209*h - 4. Let o(c) = 3*p(c) - 4*z(c). Factor o(r).
r*(r - 5)*(r + 41)
Let s be 12 - ((-2322)/(-126) + -17)/(2 + 13/(-7)). Factor 6 + 11907/2*j**s - 378*j.
3*(63*j - 2)**2/2
Factor -9000 + 1385*m**2 + m**4 - 76*m**3 - 4*m**3 + 240*m - 1290*m - 80*m**3 + 4*m**4.
5*(m - 15)**2*(m - 4)*(m + 2)
Let z(i) be the second derivative of i**6/60 + 11*i**5/30 + 7*i**4/12 - 49*i**3 - 73*i**2 - 77*i + 2. Let n(l) be the first derivative of z(l). Factor n(m).
2*(m - 3)*(m + 7)**2
Let p = 735 + -733. Let q(k) be the second derivative of 0 + 7*k + 1/170*k**5 + 8/17*k**p + 4/17*k**3 + 1/17*k**4. Factor q(g).
2*(g + 2)**3/17
Factor 460*f - 294*f - 25*f**3 - 587*f + 660*f**2 - 464*f + 250.
-5*(f - 25)*(f - 1)*(5*f - 2)
Solve 39204*o + 100*o**3 + 0 - 1/4*o**4 - 10197*o**2 = 0 for o.
0, 4, 198
Let p(i) be the third derivative of 20*i**2 - 1 + 1/120*i**5 - 5/24*i**4 + 0*i + 0*i**3. Factor p(m).
m*(m - 10)/2
Let m be -17 + (-2 + 5 - -3). Let h(i) = -6*i**2 - 86*i + 119. Let g(d) = d**2 + 17*d - 24. Let n(p) = m*g(p) - 2*h(p). Factor n(k).
(k - 13)*(k - 2)
Let b = -229867/20 - -45975/4. Let 2 - 32/5*l - 16/5*l**3 + b*l**4 + 36/5*l**2 = 0. Calculate l.
1, 5
Let d(q) be the first derivative of -5*q**4/4 + 55*q**3/3 + 105*q**2 + 1416. Factor d(n).
-5*n*(n - 14)*(n + 3)
Let o(q) be the first derivative of q**6/14 + 3*q**5/5 + 3*q**4/2 + 8*q**3/7 - 2086. Solve o(k) = 0.
-4, -2, -1, 0
Suppose -1103 + 362 + 344 + 329 = -34*b. Determine v, given that 3*v**b - 7*v + 10/3 = 0.
2/3, 5/3
Let d(h) = 4 + 0*h**2 - 12*h - 3*h**3 - 3*h**2 + 2*h**3. Let w(o) = -2*o**2 - o. Let k(b) = d(b) - 4*w(b). Find v, given that k(v) = 0.
1, 2
Factor 0*p**2 + 1603 + 2*p**2 - 6*p**2 + 696*p + 1977.
-4*(p - 179)*(p + 5)
Let q(h) = 29*h**3 + 84*h**2 + 6*h - 89. Let m(o) = 34*o**3 + 84*o**2 + 8*o - 90. Let c(l) = -5*m(l) + 6*q(l). Factor c(v).
4*(v - 1)*(v + 1)*(v + 21)
Let c be (-242836)/(-170632) + (2 + -6 - 0). Let t = -3/554 - c. Factor 2/7*i**5 - 8/7*i + 0 + 22/7*i**2 + 2/7*i**4 - t*i**3.
2*i*(i - 1)**3*(i + 4)/7
Suppose 3*t - 18 = -3*l, -4*l + 0*t + 3 = -3*t. Let 5*f**4 + 111*f - 26*f**l - 32*f**3 - 356*f - 37*f**3 - 3430 + 525*f**2 = 0. What is f?
-2, 7
Let v be (10/(-50)*1)/((-1)/10). Let r(w) be the first derivative of 1/48*w**6 + 5/12*