+ 5*h**4 - 32*h + 32*h = 0. Calculate h.
-1, 1
Factor 3*b**4 - 25289*b + 14409*b**2 - 4059*b**2 - 26863*b - 386*b**3 + 50*b**3 + 42135.
3*(b - 53)**2*(b - 5)*(b - 1)
Let i = -34 - -50. Suppose -4*a = -9*a - i*a. Determine k, given that 21/5*k**2 + a + 6/5*k = 0.
-2/7, 0
Let g be 15 + -4 + -7 - (-3 + 1). Let q be (-36)/8 - 2/4. Let z(y) = y**2 - 3*y - 4. Let p(n) = n**2 - 2*n - 3. Let b(j) = g*p(j) + q*z(j). Factor b(o).
(o + 1)*(o + 2)
Let y(c) be the first derivative of -5*c**3/3 + 210*c**2 + 425*c - 1372. Solve y(t) = 0.
-1, 85
Let g(x) = -2*x**4 + x**3 - x + 9. Let h(w) = w**5 + 26*w**4 - 67*w**3 + 36*w**2 - 4*w + 36. Let c(u) = -4*g(u) + h(u). Factor c(o).
o**2*(o - 1)**2*(o + 36)
Let z(w) be the third derivative of 0*w**3 - 16*w**2 + 1/4*w**4 - 1/70*w**7 + 0 + 0*w - 1/20*w**6 + 1/20*w**5. Factor z(v).
-3*v*(v - 1)*(v + 1)*(v + 2)
Let x = -16861 - -16861. Factor -8/5*k**3 + 1/5*k**4 + k**2 + 14/5*k + x.
k*(k - 7)*(k - 2)*(k + 1)/5
Suppose -2*p + 5*p = 18. Suppose 51 = p*y - 9. Determine l so that 4*l - 20*l - 2*l**2 + 2*l**2 + y*l**2 - 2*l**3 + 8 = 0.
1, 2
Let i(b) be the first derivative of -24 + 3/20*b**5 - 9*b + 21/2*b**2 + 3/8*b**4 - 19/4*b**3. Factor i(f).
3*(f - 2)*(f - 1)**2*(f + 6)/4
Let g(a) = 72*a**2 - 404*a + 820. Let r(u) = -11*u**2 + 58*u - 117. Let d(l) = 3*g(l) + 20*r(l). Factor d(v).
-4*(v - 2)*(v + 15)
Let i be (-8910)/(-396) + (-14 - 4) + 3. Find a, given that -18 + i*a + 9/2*a**2 = 0.
-3, 4/3
Let a(i) = -64*i**2 + 388*i + 836. Let q(o) be the second derivative of 7*o**4/12 - 43*o**3/6 - 93*o**2/2 + 26*o + 2. Let h(t) = 3*a(t) + 28*q(t). Factor h(x).
4*(x - 12)*(x + 2)
Suppose -36 = 4*x - 24. Let o be 4/(-8) - 17/30*x. Solve -3/5*h**5 + 0 + 0*h**3 - 6/5*h**2 + o*h**4 + 3/5*h = 0.
-1, 0, 1
Let x(a) = -a + 1. Let u(h) be the first derivative of -29*h**5/5 - 44*h**4 - 120*h**3 - 131*h**2 - 10*h - 58. Let g(r) = u(r) - 6*x(r). Factor g(b).
-(b + 2)**3*(29*b + 2)
Let j be (3/((-3300)/8))/((-5)/1025). Let t = 1/110 + j. Factor -t*n + 1/2*n**2 + 1.
(n - 2)*(n - 1)/2
Let f(c) be the first derivative of 4*c**3/3 - 294*c**2 + 503. Determine g, given that f(g) = 0.
0, 147
Let p(n) be the first derivative of 4*n**5/5 - 1883*n**4/4 + 74103*n**3 - 165205*n**2/2 - 55225*n + 310. Suppose p(x) = 0. Calculate x.
-1/4, 1, 235
Suppose 0 = -81*s + 45*s - 15*s + 102. Let d(y) be the first derivative of 0*y + 16 - 4/3*y**3 + 2*y**s. Let d(q) = 0. What is q?
0, 1
Let q(g) be the second derivative of -g**7/126 - 2*g**6/45 - g**5/20 + g**4/9 + 2*g**3/9 + 1341*g. Find n, given that q(n) = 0.
-2, -1, 0, 1
Let m(u) be the second derivative of u**8/420 - 2*u**7/105 + u**6/90 + u**5/5 - 9*u**3 + 65*u. Let z(j) be the second derivative of m(j). Factor z(v).
4*v*(v - 3)*(v - 2)*(v + 1)
Find g, given that -34/15*g**2 + 2/15*g**3 + 16/3*g + 104/5 = 0.
-2, 6, 13
Factor -5*h**2 - 244*h + 1033*h + 918*h + 72*h - 5325 + 11*h.
-5*(h - 355)*(h - 3)
Let n be ((-8)/(-4))/((-668)/(-1169)). Factor -3*w**2 + 43/2*w - n.
-(w - 7)*(6*w - 1)/2
Factor -1/4*p**2 + 112*p - 447/4.
-(p - 447)*(p - 1)/4
Suppose -91*q - 51 = -58*q - 50*q. Let x(j) be the first derivative of 7/12*j**2 + 5/24*j**4 - 23 + 11/18*j**q + 1/6*j. Factor x(a).
(a + 1)**2*(5*a + 1)/6
Let s = -2659/6 + 887/2. Let l(z) be the first derivative of -4/3*z**3 - s*z**6 - 3*z**2 + 4*z + 2*z**4 - 7 + 0*z**5. Factor l(q).
-2*(q - 1)**3*(q + 1)*(q + 2)
Factor -2/3*v**3 - 2/3 - 2*v - 2*v**2.
-2*(v + 1)**3/3
Let w(t) = -t**3 - 3*t**2 + 11*t + 7. Let b be w(-5). Let y be 3 + 0 + 0/(-1). Factor 9*f**4 + 8*f**3 + 3*f**b + 3*f**5 - 2*f**y + 3*f**3.
3*f**2*(f + 1)**3
Let u(k) = k**2 + k - 1. Let i(n) be the third derivative of -n**5/60 - 7*n**4/24 - 2*n**3/3 + 111*n**2. Let s(p) = i(p) + 2*u(p). Factor s(t).
(t - 6)*(t + 1)
Let v(h) be the second derivative of 0 - 7/120*h**4 + 1/30*h**3 - 7/100*h**5 - 1/60*h**6 + 0*h**2 + 48*h. What is b in v(b) = 0?
-2, -1, 0, 1/5
Solve 648/5*p**3 - 3*p**5 + 186/5*p**4 + 6864/5*p - 4848/5*p**2 - 2016/5 = 0 for p.
-6, 2/5, 2, 14
Let t(v) be the first derivative of -v**4/2 + 38*v**3/3 + 496*v**2 + 4480*v + 7536. Let t(j) = 0. What is j?
-8, 35
Let v(p) be the first derivative of -p**6/15 + p**5/2 + 2*p**4/3 - 20*p**3/3 + 198*p + 88. Let z(u) be the first derivative of v(u). Find y such that z(y) = 0.
-2, 0, 2, 5
Let k = -23/1448 - -5091/1448. Suppose 4*l - g - 5 - 9 = 0, -4*l = 5*g - 26. Factor -21/2*r**2 - 4*r - r**3 + k*r**l + 2.
(r - 2)*(r + 1)**2*(7*r - 2)/2
Let m(u) be the third derivative of u**5/330 - 13*u**4/66 - 99*u**2 + 11*u. Factor m(r).
2*r*(r - 26)/11
Let i(c) be the first derivative of c**3/12 - 865*c**2/2 + 748225*c + 283. What is d in i(d) = 0?
1730
Let q(a) be the third derivative of -1/720*a**6 + 1/360*a**5 + 0*a + 1/24*a**4 + 0*a**3 - 79*a**2 + 0. Let q(k) = 0. What is k?
-2, 0, 3
Let l(h) = -h**2 + 10*h + 3. Let s be l(10). Factor 0*o**4 + o**2 - 48*o**2 + 128*o**2 + 162 - 15*o**s + o**4 - 189*o.
(o - 6)*(o - 3)**3
Let d(k) be the third derivative of k**6/480 + 89*k**5/120 + 7553*k**4/96 - 8281*k**3/6 + 2413*k**2 - 2*k. What is q in d(q) = 0?
-91, 4
Suppose 3*s = -222 + 405. Suppose 58*g - s*g = -6. Determine f so that 1/2*f**g + 0*f + 1/2*f**3 + 0 = 0.
-1, 0
Let m(v) be the third derivative of -v**8/1680 + v**7/105 + 4*v**6/25 + 14*v**2 - 19. Determine c, given that m(c) = 0.
-6, 0, 16
Let k(u) = u**3 + 2*u**2 - 7*u - 9. Let a = 334 + -336. Let x be k(a). Suppose 2*r**4 - 2*r**2 + 0 - 2/3*r**3 + 4/3*r - 2/3*r**x = 0. What is r?
-1, 0, 1, 2
Let k(q) = q**5 + q**4 + q**3 + q. Let j(p) = 4*p**5 + 5*p**4 - 8*p**2 - p. Let o = 186 + -183. Let b(m) = o*k(m) - j(m). Suppose b(z) = 0. What is z?
-2, -1, 0, 2
Suppose 1952*l + 224 = 1960*l. Suppose -4*k - l + 28 = 0. Determine f, given that 0*f - 2*f**3 + 4/7*f**2 + 6/7*f**5 + k + 4/7*f**4 = 0.
-2, 0, 1/3, 1
Solve -1/6*v**4 + 32/3*v**2 + 29/3*v**3 - 149/3*v + 59/2 = 0.
-3, 1, 59
Determine y so that -72*y - 431/6 - 1/6*y**2 = 0.
-431, -1
Let v(j) = j**3 - 20*j**2 - 21*j + 5. Let x be v(21). Suppose -x*d + 8 = r - 9, -r + 11 = 3*d. Determine i, given that 196*i**2 + d - 8 - 4 + 1 + 28*i = 0.
-2/7, 1/7
Let s(g) = -g**3 - 6*g**2 + 32*g + 44. Let a be s(-9). Let x be -1 - (a - 54/63). What is r in x*r**3 + 0*r + 0 + 0*r**2 + 1/7*r**4 = 0?
-6, 0
Suppose -1 + 10743*l**3 + 1 - 498*l**2 + 8*l**2 - 2*l**4 - 11235*l**3 = 0. Calculate l.
-245, -1, 0
Let o(t) = t**2 - 14*t + 16. Let s be 408/32 + 1/4. Let i be o(s). What is z in 112*z**4 + 4*z**i - 4*z + 2*z**5 - 106*z**4 + 4*z = 0?
-2, -1, 0
Let j(h) = 19*h**2 - 3*h + 2. Let k(q) = q + 6. Let o be k(-4). Let i be j(o). Let 144*f - 75*f**4 + 312*f**2 + i*f**3 - 27*f**5 - 11 - 13 - 24 = 0. What is f?
-2, -1, 2/9, 2
Suppose -x - 2*x = -3*o + 18, 4*x = -4. Let w(p) be the second derivative of -3/80*p**o - 3*p + 0*p**3 - 1/40*p**6 + 1/8*p**4 + 0 + 0*p**2. Factor w(z).
-3*z**2*(z - 1)*(z + 2)/4
Let d(b) be the first derivative of 18 - 8/3*b - 2/3*b**2 + 2/9*b**3 + 1/12*b**4. Factor d(i).
(i - 2)*(i + 2)**2/3
Let x(q) = -55*q**2 + 55*q + 90. Let t(g) = 2*g**2 + 13*g - 4. Let p be t(-7). Let o(k) = -8*k**2 + 8*k + 13. Let v(r) = p*x(r) - 20*o(r). Factor v(n).
-5*(n - 2)*(n + 1)
Factor 1305 - 1731/2*k + 1/2*k**3 + 142*k**2.
(k - 3)**2*(k + 290)/2
Let n(m) = -m**4 - m + 1. Let x = -287 + 281. Let u(d) = -9*d**4 + 6*d**3 - 12*d + 9. Let j(r) = x*n(r) + u(r). Factor j(h).
-3*(h - 1)**3*(h + 1)
Suppose 4*n + 3*x - 3293 = 0, -4*x - 1713 - 763 = -3*n. Let d = n + -824. Factor 1/2*v**5 + 1/2*v**3 + d*v**2 + 0 + v**4 + 0*v.
v**3*(v + 1)**2/2
Let g(b) = b**2 - 11*b + 20. Let h be g(9). Let j**4 - 11*j + 3*j**3 + 11*j**4 - 12*j**2 + 3*j**3 + h*j + 3*j**5 = 0. Calculate j.
-3, -1, 0, 1
Let c = 343 + -338. Let j(d) = -15*d**2 - 48*d - 198. Let v(x) = 13*x**2 + 48*x + 197. Let l(a) = c*j(a) + 6*v(a). Solve l(o) = 0 for o.
-8
Let v(r) be the third derivative of -1 + 0*r - 1/24*r**6 + 0*r**4 + 10/3*r**3 - 7/12*r**5 + 27*r**2 + 1/14*r**7 + 5/336*r**8. Determine x, given that v(x) = 0.
-2, -1, 1
Let x = 10 + -8. Let j(b) = -151*b**2 + 1031*b - 258. Let f(d) = 30*d**2 - 206*d + 52. Let n(t) = x*j(t) + 11*f(t). Determine w, given that n(w) = 0.
2/7, 7
Let u be (-2)/(4/(-589)) + (-5)/(-10). Let c = -293 + u. Solve -2/15*v**3 - 2/5*v**c - 2/5*v - 2/15 = 0.
-1
Let c(k) = 7*k**2 + 3*k + 44. Let z be c(-5). Find b s