*z**2 + 0*z**4.
2*z*(z - 1)*(z + 1)**2*(z + 2)
Let s be 1017/(-63) - 1/(7/(-1)). Let x be s/(-12)*2/8. Find u such that -x + 1/2*u - 1/6*u**2 = 0.
1, 2
Let b(i) = -61*i**3 - 5 + 27*i**3 - 2*i**2 + 33*i**3 - 3*i. Let p be b(-3). Factor w - 13*w - 2*w**5 + 8*w**4 - 6*w - 37*w**2 + p*w**2 + 4*w**3.
-2*w*(w - 3)**2*(w + 1)**2
Let i = 19 + -19. Suppose -h + 2 = i, -41 = -4*f - 5*h + 1. Factor -f - 693*w**2 - 12*w**3 - 8*w + 725*w**2 - 4*w.
-4*(w - 2)*(w - 1)*(3*w + 1)
Let o(y) be the second derivative of 112/15*y**3 + 2*y - 3136/5*y**2 - 1/30*y**4 + 4. Find a, given that o(a) = 0.
56
Let w(u) be the third derivative of 2*u**7/35 + u**6/8 - 63*u**5/20 + 8*u**4 + 10*u**3 - 607*u**2 - 2*u. Find b such that w(b) = 0.
-5, -1/4, 2
Suppose 9*x = 15 + 3. Factor -8 + x + 3*w + 3*w**2 + 0*w**2 + 0*w.
3*(w - 1)*(w + 2)
Suppose -2*v = 3*y - 15, 4*v - 4*y = -0*y. Factor -v*r**4 + 8*r**2 + 8*r**3 + 4*r**4 + 9*r + 87 - 41*r - 135.
(r - 2)*(r + 2)**2*(r + 6)
Let j = -237 + 239. Determine a so that -1560*a**j - 3*a**3 + 9*a**3 + 1545*a**2 + 12*a - 3 = 0.
1/2, 1
Factor -39266/3*u**2 - 2/15*u**5 - 16262/15*u**3 - 180880/3*u - 334/15*u**4 - 288800/3.
-2*(u + 5)**3*(u + 76)**2/15
Let k be (1/(-5))/(19125/(-31875)). Let 0 + 1/12*n**5 - 5/12*n**3 + k*n - 1/4*n**2 + 1/4*n**4 = 0. Calculate n.
-4, -1, 0, 1
Let g = -176 - -1586/9. Let t(d) = d**3 - 228*d**2 + 149*d + 17708. Let h be t(227). Factor 4/9 + g*k**h - 2/3*k.
2*(k - 2)*(k - 1)/9
Let x be 24 - -1*(0/5 - 4). Factor 206*v**3 + 205*v**3 - 376*v**3 - 5*v**5 + x*v**2 + 4*v**4 + 6*v**4.
-5*v**2*(v - 4)*(v + 1)**2
Let a(o) be the second derivative of -11*o**2 - 1/6*o**4 + 5 + 4*o**3 - o. Factor a(t).
-2*(t - 11)*(t - 1)
Let w be 160683/168 + (8/(-4))/(-16). Let c = -952 + w. Factor -c*h + 4/7*h**2 + 64/7.
4*(h - 4)**2/7
Let c(v) be the first derivative of v**5 + 25*v**4/4 - 130*v**3 - 1520*v**2 - 5600*v - 11520. Determine s, given that c(s) = 0.
-7, -4, 10
Let x(d) = -d**2 + 14*d - 2. Let f be x(14). Let v be f/3*477/(-106). Factor 1/3*g - 1/3*g**2 - 1/3*g**v + 1/3.
-(g - 1)*(g + 1)**2/3
Suppose -2572*l = -2571*l + 2*f + 5, -5*f - 40 = 0. Factor l*k - 5/4*k**2 - 1/4*k**3 - 15.
-(k - 3)*(k - 2)*(k + 10)/4
Factor -25/2*n**2 - 45 + n**3 - 193/2*n.
(n - 18)*(n + 5)*(2*n + 1)/2
Let z(g) be the second derivative of -3*g**5/100 - 6369*g**4/20 - 13521387*g**3/10 - 28705904601*g**2/10 + 12001*g. Solve z(f) = 0 for f.
-2123
Let z = 431896/7 + -61699. Factor -60/7*a + z*a**2 + 300/7.
3*(a - 10)**2/7
Let u(k) be the second derivative of 94/27*k**3 - 1 + 2209/9*k**2 + 1/54*k**4 - 83*k. Factor u(t).
2*(t + 47)**2/9
Let s be ((-12)/(-15))/((-4)/(-30)). Factor 150 - 74 - 95*c + 30*c**2 - s.
5*(c - 2)*(6*c - 7)
Suppose 4*a - 3606 + 492 = -1553*a. Factor 3/7*i**a + 144/7*i + 1728/7.
3*(i + 24)**2/7
Let t(u) be the third derivative of -u**8/168 - 99*u**7/35 + 599*u**6/30 - 901*u**5/15 + 401*u**4/4 - 301*u**3/3 - 40*u**2 + 18. Factor t(y).
-2*(y - 1)**4*(y + 301)
Solve 2*v**5 - 2370423*v**4 - 753*v**2 - 226*v**3 - 408 + 27*v**2 + 2370405*v**4 - 928*v = 0.
-3, -2, -1, 17
Let -3944/5*i**2 - 644/5*i**4 - 2636/5*i + 4/5*i**5 - 132 - 2616/5*i**3 = 0. Calculate i.
-1, 165
Determine p so that -75*p**3 - 124*p**2 - 55*p**2 + 864*p**2 - 90*p = 0.
0, 2/15, 9
Suppose 10 + 38 = 16*c. Solve j**2 - 5*j**2 + c*j**2 + 12*j**2 - 7*j**2 + 3*j + j**3 = 0 for j.
-3, -1, 0
Let o be -4*((-15)/(-6))/(-5). Let w = 201752 + -201749. Factor 2/9*x + 0 + 4/9*x**o + 2/9*x**w.
2*x*(x + 1)**2/9
Let f(d) = -126*d**5 + 0 + 1 + 125*d**5. Let v(r) = -3*r**5 + 6*r**4 + 15*r**3 - 100*r**2 + 2. Let t(s) = -4*f(s) + 2*v(s). Solve t(g) = 0 for g.
-4, 0, 5
Let r(s) be the first derivative of -3*s**4/4 - 82*s**3 - 483*s**2/2 - 240*s + 1901. Factor r(q).
-3*(q + 1)**2*(q + 80)
Let l be (3/(9/(-33)))/(20/(-100)). Factor 7*d - 5204*d**2 + d**5 - l*d**3 + 4*d**5 + 173*d + 5144*d**2 + 10*d**4.
5*d*(d - 2)**2*(d + 3)**2
Let g(y) be the first derivative of -31/21*y**3 - 1/21*y**6 + 19/14*y**2 + 19/28*y**4 - 1/35*y**5 - 4/7*y - 25. Find d, given that g(d) = 0.
-4, 1/2, 1
Suppose -40*r - 8 = 17 - 25. Let w(a) be the second derivative of 1/66*a**4 + r - 2/33*a**3 - a + 0*a**2. Factor w(u).
2*u*(u - 2)/11
Factor 558/7 - 58/7*g**2 - 512/7*g + 12/7*g**3.
2*(g - 9)*(g - 1)*(6*g + 31)/7
Let k(h) be the second derivative of -h**9/22680 + h**8/10080 + h**7/945 - h**6/270 - 35*h**4/12 - h - 5. Let p(j) be the third derivative of k(j). Factor p(l).
-2*l*(l - 2)*(l - 1)*(l + 2)/3
Let v(w) be the second derivative of 1/20*w**5 + 0 + 1/2*w**4 + 0*w**2 - 211*w + 0*w**3. Find h, given that v(h) = 0.
-6, 0
Let y(d) be the second derivative of -d**5/40 + d**4/2 - 5*d**3/12 - 33*d**2/2 - 2*d + 249. Factor y(v).
-(v - 11)*(v - 3)*(v + 2)/2
Factor 1/2*v**3 + 1080 + 39/2*v**2 + 252*v.
(v + 12)**2*(v + 15)/2
Factor 3*o**2 - 37 - 99 - 36*o - 28*o - o**2 + 0*o**2.
2*(o - 34)*(o + 2)
Suppose l + o = -2, -5*l - 2*o = -0*l + 19. Let j be ((-64)/12 - l)*(-2)/2. Factor 0*v - 1/3*v**3 - j*v**2 + 0.
-v**2*(v + 1)/3
Suppose -4*h + 3*y + 51 = 0, 0*y - 2*y = 3*h - 34. Determine k, given that 24*k**4 - h*k**4 + 37*k**5 - 35*k**5 = 0.
-6, 0
Let a = -5524 - -5539. Let r(f) be the first derivative of 121/4*f + 1/12*f**3 + a + 11/4*f**2. Factor r(v).
(v + 11)**2/4
Determine n, given that -428*n + 216*n**2 - 4512/7 - 4/7*n**3 = 0.
-1, 3, 376
Let z(j) be the first derivative of -j**8/1344 + j**7/1120 + j**6/288 - j**5/160 + j**3/3 + 31*j - 127. Let n(r) be the third derivative of z(r). Factor n(t).
-t*(t - 1)*(t + 1)*(5*t - 3)/4
Factor -334*y**2 + 1238*y - 338*y + 339*y**2.
5*y*(y + 180)
Let k = 84709/6 + -14118. Let w(r) be the third derivative of 5/48*r**4 - 27*r**2 + 0*r + 7/960*r**6 - 3/80*r**5 + 0 - 1/1680*r**7 - k*r**3. Factor w(c).
-(c - 2)**3*(c - 1)/8
Let b(f) be the second derivative of 5*f**7/42 - f**6/3 - 19*f**5/2 + 5*f**4/3 + 545*f**3/6 + 175*f**2 + 952*f - 2. Determine g so that b(g) = 0.
-5, -1, 2, 7
Let p be 115/(-23) - (-1 - 6). Let r(n) be the second derivative of 1/21*n**3 - 2*n + 0*n**p + 0 + 1/42*n**4. Let r(a) = 0. Calculate a.
-1, 0
Let p(k) be the second derivative of -k**4/12 + 73*k**3/6 - 170*k**2 - 9999*k. Suppose p(v) = 0. What is v?
5, 68
Let p(n) be the third derivative of n**5/40 + 2*n**4 + 255*n**3/4 - 6*n**2 + 9*n - 4. Factor p(u).
3*(u + 15)*(u + 17)/2
Suppose -4*l - 20 = -q, 5*l - 9 = -2*q + 5. Suppose 97*r + q = 101*r. Determine v, given that v + r*v**2 - 8*v - 2*v + 0*v = 0.
0, 3
Let c = 270430 - 270427. Factor 0 - 6*j - 1/3*j**c + 19/3*j**2.
-j*(j - 18)*(j - 1)/3
Let v be (24 - 4)/(-100)*5/(-8). Let q(p) be the first derivative of -2/3*p**3 + 0*p - 5 - v*p**2. Factor q(b).
-b*(8*b + 1)/4
Let p(w) be the second derivative of -w**7/210 - 31*w**6/150 - 63*w**5/20 - 351*w**4/20 + 972*w. Factor p(n).
-n**2*(n + 9)**2*(n + 13)/5
Let m be 163/(-7335)*171/(-2) + (8/4)/4. Factor 3/5*i**4 - 21/5*i**2 + m*i**3 - 6*i + 0.
3*i*(i - 2)*(i + 1)*(i + 5)/5
Let y be 72/(-15)*106/(-318). Let u(o) be the first derivative of -y*o**2 - 13 - 3/5*o**4 + 8/5*o**3 + 2/25*o**5 + 0*o. Let u(k) = 0. Calculate k.
0, 2
Let l(b) be the third derivative of -b**8/336 - b**7/28 - b**6/24 + 5*b**5/12 - 43*b**3/3 + b**2 - 24*b. Let t(j) be the first derivative of l(j). Factor t(g).
-5*g*(g - 1)*(g + 2)*(g + 5)
Suppose -5*h - 5*z + 50 = 0, -z + 6 = z. Suppose -2*g + 35 = -l, -3*g + 5*g + 3*l = 15. Suppose g - 8*u**2 - h*u**2 + 5*u**3 + 910*u - 915*u = 0. What is u?
-1, 1, 3
Let s = -79279 - -396399/5. Solve 2/5 - 2/5*y**2 - s*y**3 + 4/5*y = 0.
-1, -1/2, 1
Let r(x) = x. Let s(k) = 6*k**3 + 4*k**2 + 4*k + 3. Let u be s(-2). Let a = u - -36. Let h(z) = -4*z**2 + 96*z - 324. Let q(i) = a*h(i) + 24*r(i). Factor q(b).
4*(b - 9)**2
Factor -1/4*b**3 + 351*b + 0 + 15*b**2.
-b*(b - 78)*(b + 18)/4
Suppose 0 = 22*d + 471 - 1153. Let p be 3/2 - d/(-6). Let -8/3 - 16/3*s**2 + 4/3*s**3 + p*s = 0. What is s?
1, 2
Let a(b) be the first derivative of b**4/28 + 32*b**3/21 + 61*b**2/14 + 30*b/7 - 3219. Factor a(l).
(l + 1)**2*(l + 30)/7
Factor -72*p**3 - 67*p**3 + 3*p**5 + 12*p**2 - 12*p**4 - 12*p + 148*p**3 + 0*p**5.
3*p*(p - 2)**2*(p - 1)*(p + 1)
Let r(x) be the first derivative of 1/6*x**3 - x + 32 + 0*x**2 - 1/84*x**4. Let t(i) be the first derivative of r(i). Factor t(v).
-v*(v - 7)/7
Let c be (66/(-55))/((-66)/20 + 3). Factor q**2 + c + 36