ird derivative of r**5/240 - 3*r**4/16 + 17*r**3/24 + r**2 + 7. Let p(h) = 0. Calculate h.
1, 17
Let 6/5*d**3 + 12/5*d**2 + 1/5*d**4 + 2*d + 3/5 = 0. Calculate d.
-3, -1
Let g(f) = -44*f**3 + 84*f**2 - 38*f. Let x(v) = v**4 + 220*v**3 - 421*v**2 + 189*v. Let y(c) = 22*g(c) + 4*x(c). Factor y(z).
4*z*(z - 20)*(z - 1)**2
Let q = -66 + 65. Let o be (-3)/(6*q)*0. Factor o - 1/4*j**3 + 1/4*j**4 - 1/4*j**2 + 1/4*j.
j*(j - 1)**2*(j + 1)/4
Let p(f) be the first derivative of 1/2*f**3 + 0*f + 21 - 9/8*f**2 - 1/16*f**4. Factor p(m).
-m*(m - 3)**2/4
Solve 16/3 + 1/3*k**2 - 8/3*k = 0.
4
Let g be -21*1 + 10 + 3 + -13. Let n be g/108 - (-12)/27. Factor 0*d - 1/4 + n*d**2.
(d - 1)*(d + 1)/4
Let k(g) be the second derivative of 0 + 0*g**3 + 1/75*g**6 + 0*g**4 + 19*g + 0*g**2 + 1/50*g**5. Factor k(o).
2*o**3*(o + 1)/5
Let a(y) be the third derivative of -y**6/180 - y**5/90 + 25*y**4/36 + 25*y**3/9 - 125*y**2. Factor a(z).
-2*(z - 5)*(z + 1)*(z + 5)/3
Let q(g) be the third derivative of 7*g**8/24 - g**7 + g**6/2 + 5*g**5/3 - 5*g**4/4 - 3*g**3 + 2*g**2 - 3*g. Factor q(x).
2*(x - 1)**3*(7*x + 3)**2
Suppose 0 = 4*j + 5*g - 34, 4*g = 3*j - 11 + 1. Let r(n) be the second derivative of 0 + 1/3*n**3 + 1/6*n**4 - j*n - 2*n**2. Determine x, given that r(x) = 0.
-2, 1
Let u be (-120)/40 + 1 + -161. Let a = u - -163. Find w such that 6/7*w + 2/7*w**2 + a = 0.
-3, 0
Let l be (-132)/260 + 6/30. Let o = 29/52 + l. Factor -1/4 + 1/8*s**3 - 1/8*s + o*s**2.
(s - 1)*(s + 1)*(s + 2)/8
Suppose -4*g - k + 5 = 0, g = -5*k + 2*k - 7. Let s be g + (-4)/((-4)/1). What is u in 9 - s - 3*u**2 - 3*u + 0 = 0?
-2, 1
Suppose 0 = -c + 3*t - 40, -3*c = t + 73 + 7. Let m = c - -28. Factor 0*v - v**3 + m + 3/4*v**4 + 1/4*v**2.
v**2*(v - 1)*(3*v - 1)/4
Let n(w) be the first derivative of 35*w**4/16 + 41*w**3/12 - w**2/4 - 2*w - 139. Factor n(u).
(u + 1)*(5*u - 2)*(7*u + 4)/4
Let s(o) = -o**3 + 4*o**2 + 1. Let p(c) = 7*c**3 - 31*c**2 + 9*c - 17. Let y(f) = 3*p(f) + 24*s(f). Solve y(q) = 0 for q.
-3, 1, 3
Factor -7*i**2 - 16*i + 16 + 16*i**2 + 4*i**2 - 2*i**2 - 7*i**2.
4*(i - 2)**2
Let f(q) = q**3 - 12*q**2 + 18*q + 8. Let i be f(9). Let c = i - -78. What is s in -1/6*s**c + 0 - 1/2*s**4 - 1/6*s**2 - 1/2*s**3 + 0*s = 0?
-1, 0
Determine d, given that -d**5 - 782*d**2 - 168*d**2 - 225 - 330*d**3 - 4*d**5 - 105*d**4 - 765*d - 180*d**3 = 0.
-15, -3, -1
Let f(r) = -35*r**2 + 10*r - 6. Let b(v) = -2*v**2 - 1. Let q(o) = -15*b(o) + 3*f(o). Factor q(j).
-3*(5*j - 1)**2
Let r(l) be the second derivative of l**4/12 - 3*l**3 + 49*l + 1. Solve r(d) = 0 for d.
0, 18
Let b(r) = 2*r + 27. Let a be b(6). Let c = a - 39. Factor -6/7*d - 3/7*d**4 - 15/7*d**2 + c - 12/7*d**3.
-3*d*(d + 1)**2*(d + 2)/7
Determine b, given that -10*b**4 + 369*b**3 - 193*b**3 + 36*b - 178*b**3 + 42*b**2 - 2*b**5 = 0.
-3, -1, 0, 2
Suppose 92 = -70*w + 372. Let j(k) be the second derivative of 1/16*k**w - 8*k + 0 - 1/80*k**5 + 0*k**2 - 1/40*k**6 + 1/24*k**3. What is n in j(n) = 0?
-1, -1/3, 0, 1
Let d be (2/3)/(4/18). Suppose 2 = -g + 6. Solve -2*n**g + n**d - n**3 - 2*n**2 - 4*n**3 = 0.
-1, 0
Let x(j) = -j**3 - 2*j**2. Let b(s) = -25*s**4 - 63*s**3 + 34*s**2 + 100*s - 40. Let a(v) = -b(v) - 2*x(v). Factor a(h).
5*(h - 1)*(h + 2)**2*(5*h - 2)
Let x(u) = -u**2 - 6*u - 6. Let f be x(-3). Factor -4*b**f - b**5 - 7*b**4 - 22*b**2 - 13*b - 14*b**3 - 39 + 36.
-(b + 1)**4*(b + 3)
Let b(h) be the first derivative of -h**4/38 - 10*h**3/57 + 6*h**2/19 + 411. Factor b(n).
-2*n*(n - 1)*(n + 6)/19
Let b(g) = -g + 8. Let z be b(5). Factor 0*t + 167 - 167 - 18*t + z*t**2.
3*t*(t - 6)
Let a(s) = 190*s**2 + 50330*s + 4670515. Let k(p) = -7*p**2 - 1864*p - 172982. Let n(d) = 2*a(d) + 55*k(d). Let n(z) = 0. What is z?
-186
Factor d + 12 - 1/2*d**2.
-(d - 6)*(d + 4)/2
Suppose -22*o + 51 = -5*o. Suppose 4*s - 1 - 7 = 0. Factor 9*b**o + b**5 + s*b + 7*b**2 - 46 + 46 + 5*b**4.
b*(b + 1)**3*(b + 2)
Let u(c) = c**3 - 2*c**2 + c + 1. Let s be u(2). Let w be 3/8*(-37 - -41). Suppose w*j**2 + 0 - 3/4*j - 3/4*j**s = 0. Calculate j.
0, 1
Let j(s) be the first derivative of -s**5 - 255*s**4/2 - 11945*s**3/3 + 27030*s**2 - 56180*s - 682. Factor j(y).
-5*(y - 2)**2*(y + 53)**2
Solve -192/5*d + 9216/5 + 1/5*d**2 = 0 for d.
96
Let v = -25/19 - -239/95. Let b(i) be the first derivative of -7 - v*i**2 + 12/5*i**3 + 1/5*i. Determine h, given that b(h) = 0.
1/6
Let m(l) be the second derivative of l**7/105 - l**6/15 + 2*l**5/25 + 83*l - 2. Suppose m(z) = 0. Calculate z.
0, 1, 4
Let 7/2*b**4 + 3/2*b**5 - 2 - 7/2*b**3 - 10*b - 27/2*b**2 = 0. Calculate b.
-2, -1, -1/3, 2
Let a(r) be the second derivative of -r**7/168 - 13*r**6/120 - 23*r**5/80 - 11*r**4/48 + 59*r - 3. Factor a(z).
-z**2*(z + 1)**2*(z + 11)/4
Let v(j) be the first derivative of -3*j**3/7 - 21*j**2/2 - 48*j/7 - 201. Factor v(g).
-3*(g + 16)*(3*g + 1)/7
Let t(i) be the first derivative of -5*i**4 + 95*i**3/2 - 235*i**2/2 + 225*i/2 + 517. Factor t(s).
-5*(s - 5)*(s - 1)*(8*s - 9)/2
Determine s so that -3/2 + 21/4*s**3 - 21/4*s + 9/2*s**2 - 3*s**4 = 0.
-1, -1/4, 1, 2
Let u(h) be the second derivative of 0*h**2 - 5/12*h**4 - 1/2*h**6 + 5/6*h**3 - 5/4*h**5 + 0 + 3*h. Suppose u(a) = 0. Calculate a.
-1, 0, 1/3
Let q be ((-4)/30)/(143/(-858)). Suppose -2/5*v**2 + 2/5*v + 0 - 6/5*v**3 + 2*v**4 - q*v**5 = 0. What is v?
-1/2, 0, 1
Let g(y) = -38*y + 37*y - 2 + 2 + y**2. Let s(h) = h**2. Let z(v) = 4*g(v) - 6*s(v). Factor z(l).
-2*l*(l + 2)
Let z(u) be the third derivative of -1/70*u**5 - 1/140*u**6 + 0 - 1/735*u**7 + 0*u**3 - 1/84*u**4 + 0*u + 8*u**2. Determine w, given that z(w) = 0.
-1, 0
Suppose 4*s = 17 - 1. Let 3*n**4 - 20*n - 60*n**2 + s*n**4 - 55*n**3 - 22*n**4 = 0. What is n?
-2, -1, -2/3, 0
Let j = -260 + 261. Suppose -47 = -24*k + j. Determine l so that 5/3*l**4 + 1/3 + 1/3*l**5 + 10/3*l**k + 5/3*l + 10/3*l**3 = 0.
-1
Let w(k) = -5*k + 89. Let r be w(0). Factor -6*i**2 + 15*i**4 + 18*i**3 + 181*i**5 - 89*i**5 - 9 - 21*i - r*i**5.
3*(i - 1)*(i + 1)**3*(i + 3)
Let a(w) be the second derivative of 0 - 3/10*w**3 - 3/10*w**2 - 3/20*w**4 - 3/100*w**5 + 13*w. Suppose a(f) = 0. What is f?
-1
Let g(f) be the first derivative of 1/6*f**2 + 1/12*f**4 + 3 + 1/60*f**5 + 1/6*f**3 + 3*f. Let x(u) be the first derivative of g(u). Solve x(j) = 0 for j.
-1
Let t(p) be the second derivative of 9*p**6/10 + 63*p**5/20 - 17*p**4/4 + 3*p**3/2 - 2*p + 8. Let t(k) = 0. Calculate k.
-3, 0, 1/3
Let z(d) be the first derivative of -d**3/15 + 27*d**2/5 - 729*d/5 + 51. Factor z(x).
-(x - 27)**2/5
Suppose h + 29 = -31. Let r = h - -243/4. Suppose 0 - 3/2*a + r*a**2 = 0. Calculate a.
0, 2
Let z(j) be the first derivative of j**3/2 + 3*j**2/4 - 9*j - 143. Determine l so that z(l) = 0.
-3, 2
Let o be (20 + -18)/(2 + (-8)/(-6)). Factor o*w**3 + 0 + 27/5*w + 18/5*w**2.
3*w*(w + 3)**2/5
Let z(f) = -f**3 - 5*f**2 - 19*f + 2. Let q be z(0). Factor 0*x - 4/5*x**4 + 0 + 0*x**q + 8/5*x**3.
-4*x**3*(x - 2)/5
Let p(z) be the first derivative of z**3/12 + 7*z**2/8 + 3*z/2 - 346. Determine s, given that p(s) = 0.
-6, -1
Let g = 7 + -20. Let a = 17 + g. Factor -3*b**3 + b**2 + a*b**3 + 4*b - 3*b**2 - 3*b**3.
-2*b*(b - 1)*(b + 2)
Let b = -3476 + 3476. Let b - 9/5*j - 6/5*j**2 + 3/5*j**3 = 0. What is j?
-1, 0, 3
Let v = 103 + -103. Suppose v = f + 10*f. Suppose -2/7*g - 2/7*g**2 + f = 0. What is g?
-1, 0
Let z(f) be the third derivative of 0*f + 3/2*f**4 - 9*f**2 + 0*f**5 + 2187/280*f**7 + 0 - 243/40*f**6 - 2/3*f**3. Factor z(d).
(9*d - 2)**3*(9*d + 2)/4
Let b(o) be the first derivative of 7/2*o**4 - 34/15*o**5 + 0*o + 3 + 2/3*o**2 + 5/9*o**6 - 22/9*o**3. Factor b(t).
2*t*(t - 1)**3*(5*t - 2)/3
Let k be ((-48)/9)/2*(-24)/16. Let z(c) be the first derivative of 0*c + 38/35*c**5 + 15/14*c**k - 5 + 2/21*c**3 - 2/7*c**2 + 1/3*c**6. Factor z(b).
2*b*(b + 1)**3*(7*b - 2)/7
Suppose 10*t - 5 + 5 = 0. Let j(d) be the third derivative of 1/120*d**6 - 1/420*d**7 + 4*d**2 + 0*d**5 + 0*d**4 + t + 0*d**3 + 0*d. Factor j(k).
-k**3*(k - 2)/2
Suppose -5*z + 16 = 3*v, -5*v + 1 = -4*z - 1. Factor 5*l + 5*l**3 - 19*l**2 - 2*l**v + 31*l**2.
5*l*(l + 1)**2
Suppose -4*s - 3 = -15. Let u(f) = -2*f - 4. Let l be u(-4). Factor c**2 - 1/2*c**5 + 1/2*c - c**l + 0 + 0*c**s.
-c*(c - 1)*(c + 1)**3/2
Let z(b) be the first derivative of b**5/90 - b**4/18 + 15*b**2 - 34. Let u(i) be the second