rmine d so that x*d**2 + 1/7*d**3 + 5*d + 25/7 = 0.
-5, -1
Let a(h) be the third derivative of -h**8/112 - 111*h**7/245 + 533*h**6/280 - 93*h**5/35 + 17*h**4/14 - 330*h**2. Let a(d) = 0. Calculate d.
-34, 0, 2/7, 1
Let y = -1486/13 - -3011/26. Factor y*h + 3/4*h**2 + 0.
3*h*(h + 2)/4
Suppose -40 = 20*i - 21*i. Let l be (7/(-10))/((-5)/i) + -4. Find y, given that -8/5*y**3 + 4/5*y**2 + 0 + l*y - 4/5*y**4 = 0.
-2, -1, 0, 1
Let h = 10772/5 + -2154. Solve 4/5*p - 2/5*p**2 + h*p**5 + 2/5*p**4 + 0 - 6/5*p**3 = 0 for p.
-2, -1, 0, 1
Let c be ((-6)/9)/((4/(-12))/1). Factor 6*n**c + 436 - 3*n**2 - 180 + 64*n + n**2.
4*(n + 8)**2
Let s(t) be the first derivative of -1/5*t**2 - 13/50*t**5 - 1/2*t**4 - 4*t - 4/75*t**6 - 7/15*t**3 + 8. Let n(k) be the first derivative of s(k). Factor n(g).
-2*(g + 1)**3*(4*g + 1)/5
Let v(t) be the first derivative of -t**3 - 9*t**2 - 67. Determine x so that v(x) = 0.
-6, 0
Let z(y) be the third derivative of 1/3*y**5 - 6*y**2 + 0*y + 1/30*y**6 + 2/3*y**4 + 0 + 0*y**3. Find x such that z(x) = 0.
-4, -1, 0
Let b(p) be the first derivative of -p**4/4 - 4*p**3/3 + 5*p**2/2 + 72. Let b(i) = 0. Calculate i.
-5, 0, 1
Let h(w) be the third derivative of -w**5/20 - 3*w**4/4 - 5*w**3/2 + 53*w**2. Find d, given that h(d) = 0.
-5, -1
Let w = -53843/11 - -4895. What is u in -24/11 - 32/11*u - w*u**3 - 14/11*u**2 = 0?
-3, -2
Let s = 147 + -117. Let m be (-4)/s + (-1014)/(-180) + -5. Determine n, given that -1 + 3/2*n**2 - 1/2*n - m*n**4 + 1/2*n**3 = 0.
-1, 1, 2
Factor -32/3*i + 2/3*i**2 + 40/3 + 2/3*i**3.
2*(i - 2)**2*(i + 5)/3
Let c be 7/(98/(-192))*-7. Find q such that -4 + c*q + 53 + q**2 - 110*q = 0.
7
Let q(f) = -f**2 + 16*f + 23. Let y be q(17). Let t = -34 + 67. Solve y*m - 6*m**3 + 2*m**3 + 2*m**3 + 29 - t = 0 for m.
-2, 1
Suppose 6*d - 3*d + 36 = 0. Let s = d + 35. Suppose -6*t**3 + 2*t**5 - 2*t**4 - s*t**2 - 4*t - 38*t**2 + 71*t**2 = 0. Calculate t.
-2, 0, 1
Let a(h) be the third derivative of -h**5/12 - 5*h**4/2 - 30*h**3 + 48*h**2. Solve a(k) = 0 for k.
-6
Let t be ((-114)/(-18) - (-28)/(-21)*1) + -3. Factor -2/7*v**3 + 2/7*v - 1/7*v**4 + 0 + 1/7*v**t.
-v*(v - 1)*(v + 1)*(v + 2)/7
Let y(g) be the second derivative of 0*g**3 - 1/110*g**5 - 1/231*g**7 + 0 + 0*g**2 + 2/165*g**6 + 9*g + 0*g**4. Solve y(u) = 0.
0, 1
Let n = 17 + -1. Suppose 4*s - 2*y = n, -y = 3*y. What is i in -3*i**s - i**4 - 2*i**5 + 2*i**5 - 2*i**5 - 2*i**3 = 0?
-1, 0
Let c(w) be the second derivative of w**6/255 - 26*w**5/85 - 27*w**4/17 - 164*w**3/51 - 55*w**2/17 + 281*w. Factor c(j).
2*(j - 55)*(j + 1)**3/17
Let z = 19 + -18. Let a(l) be the first derivative of -z + 2/3*l**3 + 0*l + 2*l**2. Suppose a(j) = 0. Calculate j.
-2, 0
Suppose -b + 31 = 5*k - 3*b, b = -3. Factor -k*c - 4*c**2 - 6 - 7*c**2 + 13*c**2 + c**3.
(c - 2)*(c + 1)*(c + 3)
Let q(r) = -13*r**2 - 13*r - 10. Let z(t) = -3*t**2 - 3*t - 2. Let o(i) = 2*q(i) - 9*z(i). Factor o(v).
(v - 1)*(v + 2)
Let j(m) = 2*m**3 + 2*m**2 - 12*m + 12. Suppose 5*o = 2 + 88. Let k(r) = -8*r**3 - 9*r**2 + 47*r - 48. Let l(v) = o*j(v) + 4*k(v). Find g, given that l(g) = 0.
-3, 1, 2
Let u = -1 + 6. Let d(f) = -10*f + 4 - u + 9*f - f**3. Let w(r) = -2*r**3 - r**2 - r - 1. Let m(v) = -d(v) + w(v). Determine p so that m(p) = 0.
-1, 0
Let o(k) be the second derivative of -1/105*k**7 + 0*k**2 - 1/30*k**4 - 14*k + 0 + 3/50*k**5 + 1/75*k**6 - 2/15*k**3. Suppose o(q) = 0. What is q?
-1, 0, 1, 2
Let f be (-324)/45*(-9)/(-594)*-10. Determine z so that -f*z**3 - 16/11*z + 24/11*z**2 + 2/11*z**4 + 0 = 0.
0, 2
Let s(k) = -k**4 - 1. Let i(z) = 7*z**4 - 2*z**2 + 7. Let t be -3 - ((1 - 5) + 7). Suppose j + g = 6*g + 24, 10 = -2*g. Let m(y) = j*i(y) + t*s(y). Factor m(q).
-(q - 1)**2*(q + 1)**2
Factor -42 + 21*h**3 - 73*h**2 + 79*h**2 + 99*h + 156*h**2.
3*(h + 1)*(h + 7)*(7*h - 2)
Let n be 2/2 + -7 + (-105)/(-7). Let t(i) be the first derivative of n*i + 1/15*i**5 + 4*i**3 - 9*i**2 - 5 - 5/6*i**4. Factor t(v).
(v - 3)**3*(v - 1)/3
Let t(b) = 3*b + 2. Let r be t(-6). Let c be (-2)/3 - r/6. Factor 3/5 + 3/5*w**c - 6/5*w.
3*(w - 1)**2/5
Factor 52*f - 4*f**2 - 260 + 391 - 219.
-4*(f - 11)*(f - 2)
Let y(w) be the second derivative of -5/6*w**3 + 0 + 5/36*w**4 + w + 5/3*w**2. Solve y(l) = 0.
1, 2
Let g = 143 - 141. Let k be (1 - (-6 + g)) + 1 + -1. Solve -3/4*l + 3/4*l**k + 3/2*l**4 - 3/2*l**2 + 0 + 0*l**3 = 0.
-1, 0, 1
Suppose y + 4*y - 35 = 0. Let w be y/(-14) - 7/(-2). Solve 2*x**2 - 4*x + x**5 + 2*x**2 + w*x**3 + 0*x**5 - 4*x**4 = 0.
-1, 0, 1, 2
Let a(b) be the third derivative of -1/1020*b**6 + 1/102*b**4 + 18*b**2 + 0*b**3 - 1/510*b**5 + 0 + 0*b. Factor a(z).
-2*z*(z - 1)*(z + 2)/17
Let c(l) be the second derivative of -3*l**5/20 + l**4/4 + 5*l**3/2 + 9*l**2/2 + 52*l + 2. Factor c(b).
-3*(b - 3)*(b + 1)**2
Let c(d) be the second derivative of -3*d**5/20 + 3*d**4/4 + 11*d**3 - 36*d**2 + 139*d. Factor c(t).
-3*(t - 6)*(t - 1)*(t + 4)
Let j be (-54)/(-10) - 2/5. Suppose 0 = j*v - 3*v - 4. What is i in -5*i**4 + 6*i**2 - 3*i**5 - 3*i**2 + 3*i**3 + v*i**4 = 0?
-1, 0, 1
Let s(p) be the third derivative of p**7/350 - 3*p**6/20 - 31*p**5/100 + 435*p**2. Factor s(j).
3*j**2*(j - 31)*(j + 1)/5
Factor -18/13*k**3 - 14/13*k**4 - 4/13*k**2 + 0 + 0*k.
-2*k**2*(k + 1)*(7*k + 2)/13
Let r(b) be the third derivative of -b**6/420 + b**5/7 - 75*b**4/28 + 4*b**2 - 2. Factor r(u).
-2*u*(u - 15)**2/7
Let n = -431 - -2157/5. Let -24/5*a + n*a**2 + 72/5 = 0. Calculate a.
6
Let o(x) = x**3 + 81*x**2 - 885*x + 3. Let k(n) = 4*n**3 + 406*n**2 - 4424*n + 14. Let p(g) = -3*k(g) + 14*o(g). Factor p(q).
2*q*(q - 21)**2
Suppose -13*b = -12*b - 2. Factor -9/5*c**3 + 6/5*c - 3/5*c**b + 0.
-3*c*(c + 1)*(3*c - 2)/5
Suppose 4*c - 39 = -c + 4*m, -m = c + 3. Factor 0 - 2/13*z**c + 0*z + 2/13*z**2.
-2*z**2*(z - 1)/13
Let w(m) be the third derivative of -m**6/80 + m**5/24 + m**4/8 - 2*m**3/3 - 65*m**2 + 3*m. Solve w(z) = 0 for z.
-4/3, 1, 2
Let r(x) be the second derivative of 0 + 20*x + 1/9*x**2 + 0*x**3 - 1/54*x**4. Find s such that r(s) = 0.
-1, 1
Factor 0*t - 8/7*t**4 - 2/7*t**5 + 0*t**2 + 0 - 6/7*t**3.
-2*t**3*(t + 1)*(t + 3)/7
Let t be 10 + -16 - (0 + -1) - -5. Let j(v) be the second derivative of t*v**3 + 1/80*v**5 + 0*v**2 + 1/48*v**4 + 0 - 2*v. Factor j(u).
u**2*(u + 1)/4
Let s(d) be the first derivative of d**4 + 41*d**3/3 + 55*d**2 + 25*d + 50. Factor s(f).
(f + 5)**2*(4*f + 1)
Let g be 72/27*6/28. Let u(s) be the second derivative of -8/21*s**3 + 0 - 3*s - 1/70*s**5 + 5/42*s**4 + g*s**2. Find t such that u(t) = 0.
1, 2
Suppose -460 = -6*l - 1306. Let a = l + 424/3. Factor 0*x**2 + 0*x + 0 + 1/3*x**4 + a*x**3.
x**3*(x + 1)/3
Let m(q) be the first derivative of -10*q**2 + 15/4*q**4 - 5/6*q**6 + 0*q - 26 - 20/3*q**3 + 2*q**5. Factor m(z).
-5*z*(z - 2)**2*(z + 1)**2
Factor 0*f + 3/4*f**4 - 3/4*f**3 + 0*f**2 + 0.
3*f**3*(f - 1)/4
Find d such that -4/3*d**3 + 44/3*d - 2/3*d**4 - 80/3 + 14*d**2 = 0.
-5, -2, 1, 4
Let u(h) be the second derivative of -2*h**6/315 - h**5/42 - h**4/126 + 2*h**3/63 - 90*h. Let u(t) = 0. Calculate t.
-2, -1, 0, 1/2
Suppose 0 = 4*f - 16, -3*c - 5*f + 144 = c. Factor c*a + 3*a**4 - 31*a - 6*a**2 + 3.
3*(a - 1)**2*(a + 1)**2
Let x(g) be the first derivative of -1/6*g**2 + 2/27*g**3 - 23 + 0*g. Factor x(t).
t*(2*t - 3)/9
Let s(j) be the second derivative of 5*j**4/12 + 1120*j**3/3 + 125440*j**2 + 180*j + 1. Suppose s(z) = 0. What is z?
-224
Let x = -135 - -191. Let u = x + -52. Let 8/5*q**u + 0*q - 4/5*q**2 + 6/5*q**5 - 2/5*q**3 + 0 = 0. Calculate q.
-1, 0, 2/3
Suppose 3*i - 26 = -38. Let t be i + (1 - (4 - 9)). Factor -2/3*j**2 - t*j - 4/3.
-2*(j + 1)*(j + 2)/3
Let x(n) = n**2 - 7*n + 6. Let u be x(6). Let g = -788 - -3942/5. Factor 0 + g*l**2 + u*l.
2*l**2/5
Let h(i) be the first derivative of i**6/10 - 3*i**5/5 + 9*i**4/20 + i**3 - 6*i**2/5 - 114. Find m such that h(m) = 0.
-1, 0, 1, 4
Let h(r) be the second derivative of r**7/840 + r**6/240 + 5*r**4/4 + 2*r. Let y(n) be the third derivative of h(n). Solve y(q) = 0 for q.
-1, 0
Let i = -601/9 + 67. Let q = -2 + 7. Factor -2/9*s**4 + 2/9*s**2 + 0 + 0*s - i*s**3 + 2/9*s**q.
2*s**2*(s - 1)**2*(s + 1)/9
Factor -2/5*v**2 - 12/5*v + 32/5.
-2*(v - 2)*(v + 8)/5
Let m be 10/(-80) - (-156)/288. Let g(s) be the second derivative of -11*s + 0*s**2 - m*s**4 + 0 + 5/6*s**3. Solve g(c) = 0 for c.
0, 1
Sup