*z - 2*p + 5*p**4.
-5*p*(p - 3)*(p + 1)**2
Let n be -12*(24/(-18))/4. Factor -16 + 3*j**3 - 6*j**n + 136*j**5 - 133*j**5 + 16.
3*j**3*(j - 1)**2
Let g(o) be the first derivative of 0*o - 187 + 35/12*o**2 + 1/18*o**3. Suppose g(a) = 0. What is a?
-35, 0
Let a = 656309/5 + -131251. Factor -92/5*h - 13/5*h**3 - a*h**2 - 56/5 - 1/5*h**4.
-(h + 2)**3*(h + 7)/5
Let z be 4 + (-364)/175 + 74/925. Let b(q) be the first derivative of -16/9*q + 10/3*q**z + 9 - 14/27*q**3. Factor b(o).
-2*(o - 4)*(7*o - 2)/9
Determine r so that -30*r - 900/7 - 6/7*r**2 = 0.
-30, -5
Let t(b) be the third derivative of -b**5/20 - 11*b**4/8 - 18*b**3 + 73*b**2. Let a(k) = -3*k**2 - 34*k - 108. Let p(v) = 3*a(v) - 2*t(v). Factor p(s).
-3*(s + 6)**2
Let k be (28/30)/(3/5). Suppose -9 = -3*i + 3, -4*r + i + 35 = 27. Factor 4/9*c**2 + 8/9 + 2/9*c**r - k*c.
2*(c - 1)**2*(c + 4)/9
Let t = -290 - -285. Let i(w) = 2*w**2 + 19*w. Let j(y) = 4*y**2 + 31*y. Let n(l) = t*i(l) + 3*j(l). Factor n(b).
2*b*(b - 1)
Let m(l) be the second derivative of -1/21*l**7 + 2/3*l**3 - 1/2*l**4 - 1/10*l**5 + 61*l + 0 + 1/5*l**6 + 0*l**2. Determine i, given that m(i) = 0.
-1, 0, 1, 2
Let w(v) = 220*v**3 - 5*v**2 - 30*v - 82. Let t be w(-3). Let k = t - -41911/7. Suppose 60/7*d**2 + 16/7 - 2*d**3 - k*d = 0. What is d?
2/7, 2
Let d(r) be the third derivative of r**6/2880 + 5*r**5/192 - 13*r**4/96 - 23*r**3/6 - 220*r**2. Let v(l) be the first derivative of d(l). Factor v(y).
(y - 1)*(y + 26)/8
Let n(r) = r + 63*r + 4*r**2 - 19*r - 143 + 173. Let t(h) = -8 + 0 - 1 - 15*h - h**2 - 1. Let j(g) = 4*n(g) + 11*t(g). Find m, given that j(m) = 0.
-2, -1
Let s be (31 - 37) + (37/6 - 4/(-20)). Let i(o) be the second derivative of 7/60*o**4 + 0 + s*o**3 + 1/100*o**5 + 1/2*o**2 + 49*o. Factor i(m).
(m + 1)**2*(m + 5)/5
Let w(l) = l**3 - 12*l**2 - 24*l + 103. Let i(n) = -n**3 + 11*n**2 + 24*n - 102. Let g(u) = 5*i(u) + 6*w(u). Find z such that g(z) = 0.
-3, 2, 18
Let o = -449 - -158. Let i = o - -296. Factor h**2 - 1/5 - 1/5*h + 4/5*h**i - 8/5*h**4 + 1/5*h**3.
(h - 1)**3*(2*h + 1)**2/5
Let z(s) = 63*s - 43*s**3 + 42 - 243*s - 186*s**2 - 14 - 8 - 4*s**3. Let t(v) = -3. Let c(n) = -4*t(n) - z(n). Factor c(i).
(i + 2)**2*(47*i - 2)
Let o(v) be the first derivative of -v**3/18 - 14*v**2/3 + 19*v/2 - 2844. Let o(t) = 0. What is t?
-57, 1
Let t(d) be the second derivative of -3*d**5/5 + 74*d**4/3 - 248*d**3 + 432*d**2 - 15*d - 2. Factor t(c).
-4*(c - 18)*(c - 6)*(3*c - 2)
Let p(x) be the first derivative of -2/65*x**5 + 1/195*x**6 - 15*x + 5/78*x**4 - 25 - 2/39*x**3 + 0*x**2. Let k(q) be the first derivative of p(q). Factor k(t).
2*t*(t - 2)*(t - 1)**2/13
Let j(i) be the first derivative of 112 - 16/5*i**5 + 15*i**4 - 64/3*i**3 + 0*i + 11*i**2 - 1/3*i**6. Let j(z) = 0. What is z?
-11, 0, 1
Let w(k) = -8*k**3 + 32*k**2 + 64*k + 36. Let m(q) = 15*q**3 - 63*q**2 - 129*q - 72. Let a be 6*(-1)/57 + (-78)/(-19). Let v(o) = a*m(o) + 7*w(o). Factor v(l).
4*(l - 9)*(l + 1)**2
Let p(j) be the third derivative of -1/560*j**7 + 0*j**4 + 1/160*j**5 + 0*j**6 - 5*j**2 + 0*j + 3 + 0*j**3. Solve p(n) = 0.
-1, 0, 1
Let v = 264 - 303. Let f(h) = -h**2 + 81*h + 50. Let d(g) = 8*g**2 - 488*g - 300. Let z(i) = v*f(i) - 6*d(i). Suppose z(m) = 0. Calculate m.
-25, -2/3
Let n(a) = a**2 + 18*a + 54. Let b be n(-14). Let q be -16*(b/16*-2)/(-1). Factor 20/7*m - 24/7*m**2 + 3/7*m**q - 11/7*m**3 + 0.
m*(m - 5)*(m + 2)*(3*m - 2)/7
Let j(b) be the third derivative of b**5/30 - 149*b**4/4 - 448*b**3/3 - 36*b**2 + 9. Factor j(f).
2*(f - 448)*(f + 1)
Let f(j) = j**3 - 419*j**2 + 14820*j + 70. Let i be f(380). Factor 845/2 + 910*d + 5/2*d**4 + 555*d**2 + i*d**3.
5*(d + 1)**2*(d + 13)**2/2
Let x(o) be the second derivative of -o + 22*o**2 - 2*o**4 + 15 - 1/10*o**5 - 3*o**3. Let x(q) = 0. Calculate q.
-11, -2, 1
Let x = 954179 + -954176. Find p such that -p**4 - 23/2*p + x*p**2 - 9 + 9/2*p**3 = 0.
-1, 2, 9/2
Suppose 4*x + x = -100. Let i = 32 + x. Solve -118*h**3 + i*h + 4 + 114*h**3 - 12 = 0 for h.
-2, 1
Let i(w) be the second derivative of -w**4/28 + 87*w**3/7 - 425*w + 2. Determine t so that i(t) = 0.
0, 174
Let a(b) be the first derivative of b**5/5 - 11*b**4/4 + 44*b**3/3 - 38*b**2 + 48*b - 545. Determine l, given that a(l) = 0.
2, 3, 4
Let f(n) be the third derivative of -n**6/24 + n**5/12 + 40*n**4/3 - 160*n**3/3 + 5*n**2 + 371*n. Find x, given that f(x) = 0.
-8, 1, 8
Let h = -1465 + 1500. Suppose -7 = 14*f - h. Factor -3 - 2*j - 1/4*j**f.
-(j + 2)*(j + 6)/4
Factor -11*v**3 + 428*v**2 - 8*v**3 + 304 - 1094*v + 15*v**3 + 250*v + 116.
-4*(v - 105)*(v - 1)**2
Suppose 11*f - 4*f = 3*f - f. Let u(g) be the third derivative of -1/10*g**4 + 0 + 1/150*g**5 + f*g + 3/5*g**3 + 14*g**2. Let u(k) = 0. Calculate k.
3
Let x(d) be the second derivative of -35*d**4/6 - 31*d**3/3 + 4*d**2 - 5*d - 1. Factor x(l).
-2*(l + 1)*(35*l - 4)
Let o(d) be the first derivative of -d**9/18144 + d**8/1680 + 3*d**7/560 + 13*d**3/3 - 3*d**2/2 + 84. Let x(g) be the third derivative of o(g). Factor x(p).
-p**3*(p - 9)*(p + 3)/6
Suppose 12*z**3 - 42*z + 31*z**4 - 9*z**4 - 2*z**5 + 102*z + 122*z - 148*z**2 - 66 = 0. What is z?
-3, 1, 11
Let k = 1808/9 + -345322/1719. Let s = 577/1146 - k. Find n, given that 0 + 1/2*n**2 + n**3 + s*n**4 + 0*n = 0.
-1, 0
Factor 37/5*j - 1/10*j**2 - 72/5.
-(j - 72)*(j - 2)/10
Let g(h) be the second derivative of 0 + 7/120*h**6 - 10*h - 17/2*h**2 + 1/12*h**4 + 0*h**3 - 3/20*h**5. Let u(y) be the first derivative of g(y). Factor u(i).
i*(i - 1)*(7*i - 2)
Let g = 393210 - 393206. Determine t so that 1/3*t**5 + 8/3*t**3 - 5/3*t**g + 0 - 4/3*t**2 + 0*t = 0.
0, 1, 2
Suppose 0*j = -0*j - 2*j. Suppose -5*g + j*g + a = -14, g - 3*a - 14 = 0. Factor 0 + 9/4*c**g - 7/4*c**3 - 1/2*c.
-c*(c - 1)*(7*c - 2)/4
Let t(a) be the second derivative of -a**5/10 + 31*a**3/3 - 30*a**2 + 2*a + 418. Suppose t(w) = 0. What is w?
-6, 1, 5
Let t(o) be the second derivative of -5*o**4/24 + 1445*o**3/6 + 2895*o**2/4 + o + 1584. Factor t(x).
-5*(x - 579)*(x + 1)/2
Suppose 0 = -4*b + 26 + 22. Suppose -4*p + d + 29 = 4*d, d = 3*p - b. Let p*y**2 - 13*y + 96 + 34*y - 61*y - 16 = 0. Calculate y.
4
Determine l so that -62/3*l**3 - 17360*l + 117600 + 1/6*l**4 + 2762/3*l**2 = 0.
20, 42
Let g(k) = 3*k**4 - 9*k**3 + 14*k**2 - 3*k - 5. Let j = -15 + 10. Let u(v) = -3*v**4 + 9*v**3 - 15*v**2 + 3*v + 6. Let r(x) = j*u(x) - 6*g(x). Factor r(s).
-3*s*(s - 1)**3
Factor -1/10*o**3 + 189/10*o**2 - 94/5*o + 0.
-o*(o - 188)*(o - 1)/10
Let d(i) = 3*i**2 + 28*i - 71. Let f be d(-11). Let x be f/(-7)*12/48. Factor 0 + 0*g + 2/7*g**2 + x*g**3 + 2/7*g**4.
2*g**2*(g + 1)**2/7
Let c be (-387)/(-135) - (-2)/15. Let v be ((-2)/5)/((-98)/(-42) - c). Find r such that -v + 2/5*r + 1/5*r**2 = 0.
-3, 1
Let w(g) = -g**2 - 2*g + 2. Let v(x) = x**3 - 10*x**2 + 32*x - 8. Let l(t) = v(t) + 4*w(t). Solve l(y) = 0 for y.
0, 2, 12
Let l = -77403/11 - -7037. Let h(b) be the first derivative of -14 + l*b + 3/11*b**2 + 2/33*b**3. Let h(z) = 0. Calculate z.
-2, -1
Let f(l) = 5*l**2 + 4*l - 15. Let n be f(2). Suppose -2*o = 2, n*i = 8*i - o + 9. Determine c, given that 0 + 4/3*c**i - 2/3*c**3 - 2/3*c = 0.
0, 1
Suppose 10*l = -2*w + 22, 4*l - 4*w - 3 + 47 = 0. Let 1/3*p**4 - 2/3*p**3 + 2*p + l - 5/3*p**2 = 0. Calculate p.
-2, 0, 1, 3
Solve 9*c**5 + 11*c**5 - 84*c**4 - 828*c - 1712*c**3 - 2872*c**2 + 396 + 488*c**3 - 528*c = 0 for c.
-3, -1, 1/5, 11
Let a(k) be the third derivative of -k**8/2352 - 3*k**7/490 - k**6/120 + 3*k**5/140 + k**4/21 - k**2 + 39*k. Determine y, given that a(y) = 0.
-8, -1, 0, 1
Let p be 1/((-2)/(-10)) + 5143/(-139). Let s be 110/(-1760) + (-2)/p. Let 1/7*f**4 + s*f + 3/7*f**2 + 0 + 1/7*f**5 - 5/7*f**3 = 0. What is f?
-3, 0, 1
Determine b, given that -2646*b**3 + 405*b**4 - 402*b - 806 + 304 - 1590*b + 310 - 4500*b**2 = 0.
-2/3, -2/15, 8
Let p(j) be the first derivative of -j**6/3060 + 2*j**5/255 + 5*j**4/51 - 55*j**3/3 - j**2 + 200. Let n(l) be the third derivative of p(l). Factor n(i).
-2*(i - 10)*(i + 2)/17
Let g(n) = 18*n + 78. Let k(j) = 11*j + 39. Let b(f) = 6*g(f) - 10*k(f). Let u be b(37). Find v, given that 2 - 3/2*v**2 - v**3 + 1/2*v**u + 2*v = 0.
-1, 2
Find y, given that -291/7*y**2 - 9180/7 + 3/7*y**3 + 3168/7*y = 0.
6, 85
Let c(w) = w**3 - w**2 + w + 1. Let j(v) = -2*v**3 + 130*v**2 + 146*v - 270