 5*h + 6. Suppose -4*f - 9*f = 39. Let x(w) = 3*w**3 + 26*w**2 + 16*w - 16. Let a(i) = f*x(i) - 8*v(i). Determine d so that a(d) = 0.
-4, -2, 0
Let h(m) be the third derivative of -m**6/48 - 3*m**5/160 + 20*m**3/3 - 5*m**2 - 3. Let l(a) be the first derivative of h(a). Solve l(g) = 0.
-3/10, 0
Suppose -4314*b + 4190*b = -114 - 134. Factor -33/2*r**b + 105/2*r - 75/2 + 3/2*r**3.
3*(r - 5)**2*(r - 1)/2
Suppose -2*i + 163 = 2*n + 573, n = 3*i + 627. Let v be i/(-6 + 2) + 9/(-3). Factor -135*y - 17 + 95*y + 16*y**2 + v - 2*y**3.
-2*(y - 4)*(y - 2)**2
Let o(c) = -20*c**2 - 340*c + 2355. Let k(f) = 51*f**2 + 851*f - 5889. Let g(x) = -5*k(x) - 13*o(x). Let g(t) = 0. Calculate t.
-39, 6
Suppose 5*x - 38 = -3*o, 0 = 14*x - 9*x - 4*o + 4. Let z(b) be the first derivative of -1 + 3/16*b**2 - 5/24*b**3 + 0*b + 1/40*b**5 + 1/32*b**x. Factor z(y).
y*(y - 1)**2*(y + 3)/8
Let j be ((-1)/(-4))/(796/199). Let f(r) be the third derivative of -12*r**2 + 0*r + 1/80*r**5 + 0 + 0*r**3 - j*r**4. Factor f(i).
3*i*(i - 2)/4
Let k be 3/(-12) - (-85)/20. Factor -35*a**3 + 40*a**k - 14*a**4 - 40*a**2 - 14*a**4 - 7*a**4.
5*a**2*(a - 8)*(a + 1)
Let r(y) be the second derivative of 35/12*y**3 + 0 + 185/48*y**4 - 55*y + 5/16*y**5 + 0*y**2. Factor r(s).
5*s*(s + 7)*(5*s + 2)/4
Let u(w) = -13*w**3 - 373*w**2 + 115*w - 29. Let g be u(-29). Factor 0 + g*x**3 - x - 1/2*x**4 + 3/2*x**2.
-x*(x - 1)**2*(x + 2)/2
Let w = -849 + 851. Let u(i) be the second derivative of -2/3*i**6 + 5*i**w + 0 + 5/42*i**7 + i**5 + 5/6*i**4 - 25/6*i**3 + 33*i. Solve u(z) = 0.
-1, 1, 2
Let z(g) = g**5 - g**3 - g - 2. Let l(t) = -10*t**5 + 128*t**4 + 4232*t**3 + 7938*t**2 + 11*t + 22. Let m(c) = -2*l(c) - 22*z(c). Solve m(h) = 0 for h.
-63, -2, 0
Let m be (-1 + 3)*((-785)/(-15) + -52). Factor -10/3*h**4 + 0 - 6*h**3 + m*h - 2*h**2.
-2*h*(h + 1)**2*(5*h - 1)/3
Let z = 28845/17 - 317159/187. Factor z - 20/11*t + 18/11*t**2 - 7/11*t**3 + 1/11*t**4.
(t - 2)**3*(t - 1)/11
Let k(y) = -2*y + 39. Let i(g) = -2*g + 39. Let a(m) = 4*i(m) - 5*k(m). Let n be a(22). Factor 20*s**2 + 20*s**3 + s + n*s**4 - 4*s + 3*s.
5*s**2*(s + 2)**2
Let q(v) be the third derivative of -v**7/840 + v**6/40 - 13*v**5/240 - 23*v**4/16 - 14*v**3/3 + 1830*v**2. Solve q(r) = 0.
-2, -1, 7, 8
Let o = 4607 + -4604. Let f = -57 + 57. Find n, given that -2/3*n + f + n**2 - 1/3*n**o = 0.
0, 1, 2
Let j(i) be the third derivative of i**7/210 - 11*i**6/24 + 13*i**5/15 + 9*i**4/2 - 1807*i**2 - 1. Determine q, given that j(q) = 0.
-1, 0, 2, 54
Let k = 331333/73634 + 10/36817. Find u such that 51/2*u + k*u**4 - 1/2*u**5 + 37*u**2 + 23*u**3 + 13/2 = 0.
-1, 13
Suppose -5*p + 3*v - 6*v - 52 = 0, -5*p + v - 36 = 0. Let u be (p/(-12)*3)/(2/2). Factor -t**u + 19*t - 117 + 7*t - 27 - 25.
-(t - 13)**2
Let p(q) = -q - 2. Let b be p(-4). Suppose -b*d = -3*s - 20, 4*d - 3*s = -0*d + 28. Factor -2*k**2 - 3 - 7 + 9 - k**d + 4*k**2.
-(k - 1)**2*(k + 1)**2
Let j = -216 + 234. Factor -112*z**2 - 78 - j*z - 3 - 27 + 2*z**3 + 236*z.
2*(z - 54)*(z - 1)**2
Let f be 26166/182 + 393/1703. Determine a, given that -f - 1/4*a**2 + 12*a = 0.
24
Let l(i) be the second derivative of -4*i**5/5 + 155*i**4/3 - 226*i**3/3 - 76*i**2 + 105*i + 2. Factor l(b).
-4*(b - 38)*(b - 1)*(4*b + 1)
Let z be -3 + (105 - 114 - 268/(-22)). Factor -2/11*j**2 - 4/11*j + z*j**3 + 0.
2*j*(j - 2)*(j + 1)/11
Determine z so that -56*z**4 + 65*z**4 + 272*z**2 - 55*z**5 + 56*z**5 - 120*z**3 = 0.
-17, 0, 4
Let h(z) = -13*z**4 - 3*z**3 + 92*z**2 - 311*z - 22. Let d(g) = 14*g**4 + 4*g**3 - 94*g**2 + 312*g + 24. Let y(i) = -11*d(i) - 12*h(i). Factor y(m).
2*m*(m - 5)**2*(m + 6)
Let y = -58 - -61. Suppose y*k - 82 = -4*n + 721, 3*k + 997 = 5*n. Determine v so that -132*v - 275*v**3 - 210*v**2 - 23 - 9 + n*v**3 + 8 = 0.
-2, -2/5
Suppose 9*p**2 + 285/4 + 147*p = 0. Calculate p.
-95/6, -1/2
Factor 0 - 2/5*a**3 - 78*a**2 + 392/5*a.
-2*a*(a - 1)*(a + 196)/5
Let g(d) = 8*d - 1. Let z(o) = -5*o**2 + 880*o + 1020. Let u(v) = -15*g(v) - z(v). Find n, given that u(n) = 0.
-1, 201
Suppose -95*g + 12*g = -1743. Let q(z) be the second derivative of 0 - 1/9*z**2 - g*z + 1/54*z**4 + 0*z**3. Factor q(j).
2*(j - 1)*(j + 1)/9
Let n(v) be the first derivative of v**5/15 - 11*v**4/4 + 7*v**3 - 31*v**2/6 + 1610. Factor n(s).
s*(s - 31)*(s - 1)**2/3
Let i be 7 - (0 + (-5071)/231). Let j = i - 80/3. Factor -216/7*t - j - 780/7*t**2 - 850/7*t**3.
-2*(5*t + 2)**2*(17*t + 2)/7
Let i be (152/12 + -2)*630/504. Factor -350/3*w**2 - i - 245/3*w**3 + 260/3*w.
-5*(w + 2)*(7*w - 2)**2/3
Let r = -18/43 + 115/172. Find t, given that -r*t**3 + t**2 + 0 + 5/4*t = 0.
-1, 0, 5
Let j(l) be the second derivative of 29*l**5/40 - l**4/12 - 29*l**3/3 + 2*l**2 - 46*l - 5. Factor j(y).
(y - 2)*(y + 2)*(29*y - 2)/2
Suppose 0 = -46*z + 41*z + 3145. Let b = -5651/9 + z. Find r such that 8/9 + b*r + 2/9*r**2 = 0.
-4, -1
Let c(a) be the first derivative of 4*a**5/15 + 81*a**4/4 - 103*a**3/3 + 31*a**2/3 + 237. Factor c(v).
v*(v - 1)*(v + 62)*(4*v - 1)/3
Let q(u) be the second derivative of 1/2*u**4 + 0 - 2*u**3 + 11*u - 1/20*u**5 + 5*u**2. Let g(a) be the first derivative of q(a). Factor g(m).
-3*(m - 2)**2
Let x(p) = 7*p**2 - 1210*p + 1128. Let z(c) = 10*c**2 - 1812*c + 1692. Let s(j) = 22*x(j) - 15*z(j). Factor s(u).
4*(u - 1)*(u + 141)
Let y(v) be the first derivative of v**4/6 + 4*v**3/3 - 50*v + 12. Let c(z) be the first derivative of y(z). Factor c(i).
2*i*(i + 4)
Suppose 581 = 182*a - 147. Let d(f) be the first derivative of 16/3*f + f**3 - 4*f**2 - 1/12*f**a + 34. Factor d(w).
-(w - 4)**2*(w - 1)/3
Let f(c) = -11*c**2 + 87*c - 160. Let r be f(5). Factor r - 2/5*h**3 - 2/5*h**2 + 4/5*h.
-2*h*(h - 1)*(h + 2)/5
Let q(x) be the first derivative of -2*x**3/33 - 13*x**2/11 + 96*x/11 + 968. Determine v so that q(v) = 0.
-16, 3
Let h(r) be the second derivative of -r**6/105 - 33*r**5/35 - 411*r**4/14 - 180*r**3 + 24300*r**2/7 + 2203*r. Suppose h(d) = 0. What is d?
-30, -9, 3
Let j(o) be the first derivative of o**3/3 + 168*o**2 + 28224*o + 1134. Factor j(t).
(t + 168)**2
Suppose 7*l = 5*l + 1536. Suppose 0 = 9*d - l - 132. Suppose 2*s + 2*s + d*s**2 - 102*s**2 = 0. Calculate s.
0, 2
Let g = -1250 + 1256. Let a(h) be the first derivative of -9/10*h**4 + 0*h - 14/15*h**3 - 2/5*h**5 - 8 - 2/5*h**2 - 1/15*h**g. Factor a(v).
-2*v*(v + 1)**3*(v + 2)/5
Let c(q) be the first derivative of -10*q**2 - 3/2*q**4 + 4*q - 23/3*q**3 - 82. Factor c(g).
-(g + 2)**2*(6*g - 1)
Let x be 22/(-26)*-13 - (1 - -7). Let v(q) be the first derivative of -2/15*q**x - 2/25*q**5 + 4/5*q - 3/10*q**4 + 3/5*q**2 - 9. Solve v(d) = 0 for d.
-2, -1, 1
Let n = 14/639 - -1861/2556. Let o(h) be the first derivative of 3/4*h**3 - 3/4*h**2 - n*h - 33. Suppose o(t) = 0. What is t?
-1/3, 1
Suppose 2*m - 3*s - 33 = -14, 0 = s + 5. Let u(d) be the first derivative of m*d - 1/3*d**3 - 1/2*d**2 + 12. Let u(t) = 0. What is t?
-2, 1
Suppose -4*z + 34 = 18. What is c in 60*c**4 + 60*c**4 + 48*c**2 - z*c**3 + 16*c - 132*c**4 = 0?
-2, -1/3, 0, 2
Let g = 0 + -4. Let z be (3*(-4)/(-18))/(g/(-768)). Solve 594*a**3 - 36 - 300*a - 346*a**2 - z*a**2 - 27*a**2 + 243*a**4 = 0 for a.
-3, -2/9, 1
Suppose 1301 = -42*g - 379. Let t be (-1)/(2/(16/g)). Factor 0*a**2 + 2/5 + t*a**3 - 3/5*a.
(a - 1)**2*(a + 2)/5
Let j(g) be the third derivative of g**9/10584 - g**7/2940 - 9*g**3/2 - g**2 - 2*g. Let n(v) be the first derivative of j(v). What is d in n(d) = 0?
-1, 0, 1
Let s = 73953 + -73945. Factor -18/7*l**3 + 32/7 + 2/7*l**4 - 72/7*l + s*l**2.
2*(l - 4)*(l - 2)**2*(l - 1)/7
Let m(o) be the second derivative of -2*o**7/21 + 38*o**6/15 + 4*o**5 + 1265*o. Solve m(j) = 0 for j.
-1, 0, 20
Let k be (-1 - 26) + ((-5928)/285 - -48). Determine l, given that -2 + k*l**3 + 2*l**2 - 1/5*l = 0.
-10, -1, 1
Solve -9/2*n**2 - 37/2*n**3 + 9/2*n**4 + 18*n + 0 + 1/2*n**5 = 0.
-12, -1, 0, 1, 3
Let v = -73104/7 + 73112/7. Factor 0*n + 2/7*n**3 + 8/7*n**4 + v*n**5 + 0*n**2 + 0.
2*n**3*(2*n + 1)**2/7
Suppose -5*y = -68 + 88. Let x be (-3)/(-6) + y/(-8). Factor -x - d**4 + 10*d**2 - 2*d**2 + 2*d**2 - 8*d**2.
-(d - 1)**2*(d + 1)**2
Factor -x**3 + 1709*x**2 + 4 + 1711*x**2 - 3421*x**2 + 4*x.
-(x - 2)*(x + 1)*(x + 2)
Let g(z) be the second derivative of 0*z**3 + 0*z**4 - 1 - 1/30*z**5 - 89*z + 0*z**2 - 1/135*z**6. Let g(f) = 0. What is f?
-3, 0
Let t