**d + 2*n**2 + 8*n + 3*n**5.
n*(n - 1)**2*(n + 1)*(3*n + 1)
Let j(f) = -2*f**2 + 69*f + 74. Let l(t) = -8*t**2 + 275*t + 296. Let h(o) = 26*j(o) - 6*l(o). Determine v so that h(v) = 0.
-1, 37
Suppose -1/4*h**2 - 15/2*h - 225/4 = 0. Calculate h.
-15
Let r(z) be the second derivative of -14*z + 2*z**2 - 1/10*z**5 + 1/3*z**3 + 0 - 1/3*z**4. Factor r(u).
-2*(u - 1)*(u + 1)*(u + 2)
Let a(k) be the third derivative of k**7/84 - 5*k**6/48 - 735*k**2. Let a(d) = 0. Calculate d.
0, 5
Let i(u) be the third derivative of u**4/24 + 13*u**3/6 - 16*u**2. Let t be i(-8). Determine h so that 1/3*h**2 + 1/3*h**3 + 0 + 0*h - 1/3*h**t - 1/3*h**4 = 0.
-1, 0, 1
Let r(z) be the first derivative of -3*z**4 - 8*z**3/3 + 54*z**2 + 72*z - 98. Let r(p) = 0. What is p?
-3, -2/3, 3
Let b(j) be the third derivative of 0*j**4 + 1/20*j**5 + 1/60*j**6 + 15*j**2 + 0 + 0*j - 1/6*j**3. Factor b(p).
(p + 1)**2*(2*p - 1)
Let l(d) = 11*d + 9. Let a be l(5). Let w = a + -191/3. Solve 0 + w*s**2 - 1/3*s = 0 for s.
0, 1
Let v be (364/(-315))/(2/(-1405)). Let b = v + -810. Factor b*i**4 + 0*i**2 - 4/3*i**3 + 0 - 2/3*i**5 + 2/9*i.
-2*i*(i - 1)**3*(3*i + 1)/9
Let b be ((-32)/154)/(482/(-1687)). Factor 2/11*l - 6/11*l**3 - b*l**2 + 4/11.
-2*(l + 1)**2*(3*l - 2)/11
Let a = 582 - 580. Let m(d) be the first derivative of d**a + 4/3*d**3 + 1/2*d**4 - 8 + 0*d. Factor m(b).
2*b*(b + 1)**2
Let a(s) be the first derivative of s**3/3 - 9*s**2/2 + 14*s + 74. Factor a(x).
(x - 7)*(x - 2)
Let o be (8/(-4) - -11)*1/3. Let s(t) be the first derivative of 5/6*t**o - 3*t**2 + 2*t - 1. Factor s(m).
(m - 2)*(5*m - 2)/2
Let v be -82 + 80 + (-26)/(-12). Let q(f) be the third derivative of f**3 - 11*f**2 + 0 - 1/30*f**5 - v*f**4 + 0*f. Factor q(l).
-2*(l - 1)*(l + 3)
Let n(l) = -3*l**3 - 53*l**2 - 56*l - 2. Let j(b) = 50*b**3 + 900*b**2 + 955*b + 35. Let h(z) = -2*j(z) - 35*n(z). Factor h(v).
5*v*(v + 1)*(v + 10)
Factor 3*k**2 - 116*k - 1682 + 12*k**2 - 17*k**2.
-2*(k + 29)**2
Let f(n) = -n - 1. Let j(h) = 4*h**2 + 36*h - 64. Let m(a) = 12*f(a) - j(a). Factor m(r).
-4*(r - 1)*(r + 13)
Suppose 3*w = 3*y + y + 28, 3*w - 32 = 5*y. Suppose 0 = -3*p - m + 4*m - 9, w*p + 7 = 3*m. Factor -20*l**2 + 18*l - 14*l + p*l**2.
-2*l*(9*l - 2)
Let j(i) be the first derivative of -3*i**4/4 + 30*i**3 - 450*i**2 + 3000*i - 64. Factor j(q).
-3*(q - 10)**3
Suppose 0 = 19*l - 22 - 54. Let p(r) be the first derivative of 2/21*r**3 + 6/7*r + 5/7*r**2 + l - 1/14*r**4. Let p(k) = 0. What is k?
-1, 3
Let t = 874 + -74284/85. Let g = 662/255 + t. Determine b so that 2/3*b**2 + 2 + g*b = 0.
-3, -1
Let x = -7458 + 52338/7. Suppose -x*j**2 - 18/7*j**3 - 48/7 - 152/7*j = 0. What is j?
-6, -2/3
Let t(a) be the first derivative of a**6/660 - a**5/55 + a**4/12 - 2*a**3/11 - 19*a**2/2 + 5. Let p(b) be the second derivative of t(b). Factor p(d).
2*(d - 3)*(d - 2)*(d - 1)/11
Let u(j) = -411*j + 3290. Let o be u(8). Solve -3/2*r**o + 9/2*r - 3 = 0 for r.
1, 2
Solve 226/5*m - 148/5 + 2/5*m**3 - 16*m**2 = 0 for m.
1, 2, 37
Let w = -2363 - -2365. Factor 4/7*n**w + 0 + 12/7*n.
4*n*(n + 3)/7
Suppose -3*y = -3*t + 9, 3*t = y + 8 + 1. Determine s so that -2*s**2 - 2*s**3 + 2*s**2 + y*s**2 + 2*s**2 + 3*s - 3*s**4 + 1 - s**5 = 0.
-1, 1
Let l(o) be the third derivative of -o**8/1344 - o**7/120 - o**6/96 + 7*o**5/240 + o**4/16 + 26*o**2 - 2. Suppose l(f) = 0. Calculate f.
-6, -1, 0, 1
Let j(p) be the third derivative of -p**6/420 + p**4/84 - 43*p**2. Factor j(v).
-2*v*(v - 1)*(v + 1)/7
Solve 0 - 12/7*b**3 + 0*b**4 + 0*b + 3/7*b**5 + 0*b**2 = 0 for b.
-2, 0, 2
Let c(v) be the third derivative of 0 + 0*v + 0*v**7 + 1/784*v**8 + 6*v**2 + 0*v**5 + 1/56*v**4 - 1/140*v**6 + 0*v**3. Find r such that c(r) = 0.
-1, 0, 1
Let f be (16/(-10))/(22/(-55)). Let o(t) be the third derivative of 1/90*t**5 - 1/18*t**f + 0 + 0*t + 0*t**3 - 6*t**2. Factor o(h).
2*h*(h - 2)/3
Let h(u) be the first derivative of -2*u**5/5 - 19*u**4 - 336*u**3 - 2592*u**2 - 6912*u + 50. Factor h(g).
-2*(g + 2)*(g + 12)**3
Suppose 3*a = 183 + 99. Suppose 90*x**2 + 2*x**4 - a*x**2 + 2*x**4 = 0. What is x?
-1, 0, 1
Let i be 6/36 + 212/24. Suppose -4*k + i = -3. Determine a so that 5/3*a + 1/3*a**2 + 1 - 1/3*a**k = 0.
-1, 3
Let v be (2 - 176/70)/((2 + 16)/(-180)). Factor 3/7*i**2 + 108/7 + v*i.
3*(i + 6)**2/7
Let j be (0 - 8133/9)/2. Let v = 453 + j. Solve 1/3 - 2*c**2 + v*c**3 + 1/2*c = 0.
-2/7, 1
Let h = 6 - 4. Let y be 1*(h + 0/4). What is q in -3*q - 3 + 2 - 4 - q**y + 3 = 0?
-2, -1
Determine c so that 4*c**3 - c - 3*c - 36 - 100*c**2 + 136*c**2 = 0.
-9, -1, 1
Let b(h) be the second derivative of h**5/5 - 5*h**4/3 + 16*h**3/3 - 8*h**2 + 77*h. Factor b(i).
4*(i - 2)**2*(i - 1)
Suppose 3*v = -3*u + 75, -5*v + 2*u = -2*v - 50. Let p = 22 - v. Factor 5*s**2 - 4*s**2 - p*s**2.
-s**2
Let 4*g + 3*g + 9*g + g**2 - 36 + 2*g**2 - 4*g = 0. What is g?
-6, 2
Suppose -3/2*d**3 + 1/2*d**5 + 8*d**2 + 0 - 3*d**4 + 6*d = 0. What is d?
-1, 0, 2, 6
Suppose -24*s**4 + 112*s**2 - 45*s - 13*s**5 + 54*s**3 + 4*s**5 + 12 - 100*s**2 = 0. What is s?
-4, -1, 1/3, 1
Let q(a) = 6*a**2 + 4*a + 3. Let f be q(-2). Let n = -12 + f. Solve 5*k**2 - 6 - 2*k**2 + n*k - 4*k = 0 for k.
-2, 1
Let i be 3/((-9)/(-28))*(-12)/8. Let j be 4/i + 192/84. Solve -6/5*x**3 - 2/5 + j*x**2 - 2/5*x = 0 for x.
-1/3, 1
Factor -2/13*a + 14/13*a**2 + 0.
2*a*(7*a - 1)/13
Let s(v) = -8*v**3 + 121*v**2 + 5*v - 5. Let i(t) = -13*t**3 + 182*t**2 + 8*t - 8. Let n(d) = -5*i(d) + 8*s(d). Solve n(r) = 0 for r.
-58, 0
Let j(d) be the first derivative of 11 + 31 - 75*d + 0 + 160*d**2 - 64*d**3 - 40*d**2. Solve j(n) = 0 for n.
5/8
Let a(i) be the second derivative of i**7/315 - 2*i**6/225 - i**5/75 + 4*i**4/45 - 7*i**3/45 + 2*i**2/15 + 252*i + 2. Factor a(q).
2*(q - 1)**4*(q + 2)/15
Let b(c) = -20*c + 902. Let v be b(45). Factor 2/9*m + 8/9 - 1/9*m**v.
-(m - 4)*(m + 2)/9
Let c(b) be the second derivative of -b**4/48 + 31*b**3/24 + 4*b**2 - 129*b. Find d, given that c(d) = 0.
-1, 32
Let n be (-1 - 9/(-6))*0. Let j(x) be the third derivative of 0*x**4 + 7*x**2 + 1/180*x**5 + 0*x + n - 1/360*x**6 + 0*x**3. Determine p so that j(p) = 0.
0, 1
Let k = -4 - -4. Let l(s) be the second derivative of -7/25*s**5 + k - 1/5*s**4 + 1/5*s**2 + 5*s - 1/35*s**7 + 1/15*s**3 - 11/75*s**6. Solve l(m) = 0 for m.
-1, 1/3
Suppose -3*b - 7 = 2*g, -4*b + 9 = -g - 0. Let x = 1 + b. Determine h so that 5*h**2 - 3*h**3 - x*h**2 - 3*h**2 = 0.
0
Let r(o) = -3*o**3 - 20*o**2 - 16*o - 159. Let d be r(-7). Let -4/5*v**4 + 0 + 2/5*v**3 + 0*v + 2/5*v**5 + 0*v**d = 0. What is v?
0, 1
Let o(t) be the third derivative of -1/70*t**7 + 0*t**3 + 0*t - 1/224*t**8 + 0 + 13*t**2 + 1/20*t**5 + 1/16*t**4 + 0*t**6. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Let h = -440 - -443. Let a(s) be the third derivative of -1/840*s**8 + 0*s**h - 1/50*s**6 - 4/525*s**7 + 0*s + 0 - s**2 - 1/60*s**4 - 2/75*s**5. Solve a(c) = 0.
-1, 0
Let l(r) be the first derivative of -2/9*r**3 + 1/3*r**2 + 28 + 0*r. Find p such that l(p) = 0.
0, 1
Let o(c) be the second derivative of -1/30*c**4 - 1/150*c**6 - 1/210*c**7 + 3/10*c**2 + 0 - 1/6*c**3 - 4*c + 3/50*c**5. Factor o(v).
-(v - 1)**3*(v + 1)*(v + 3)/5
Let v(f) be the third derivative of f**8/1680 - f**6/72 + f**4/6 + 11*f**3/6 + 4*f**2. Let b(h) be the first derivative of v(h). Suppose b(c) = 0. Calculate c.
-2, -1, 1, 2
Factor -5/2*u**4 + 0 - 5/2*u**3 + 0*u**2 + 0*u.
-5*u**3*(u + 1)/2
Let z = -13413 - -13415. Factor 0 + 1/6*d**z + 19/6*d**4 - 7/6*d**5 - 5/2*d**3 + 1/3*d.
-d*(d - 1)**3*(7*d + 2)/6
Let p(z) = 5*z**3. Let f(w) = w**4 + w**3 + w**2. Suppose -2*t + 2 = -0*t. Let a(x) = t*p(x) + 5*f(x). Determine g so that a(g) = 0.
-1, 0
Let c be 6/(-11) - 204/(-374). Find h such that -2*h**3 + c + 2*h**4 + 2/3*h**2 + 0*h - 2/3*h**5 = 0.
0, 1
Let c(s) = -s**3 - s**2 - s. Let u be c(0). Suppose u = 5*a - 4*a - 5. Determine l so that -l**3 - 5*l**5 + 7*l**3 - l - 4*l**3 + 4*l**a = 0.
-1, 0, 1
Let t(j) = -j**3 + 2*j**2 - j + 1. Let v(a) = -16*a**3 + 44*a**2 - 36*a - 26. Let q(g) = 28*t(g) - 2*v(g). Find m such that q(m) = 0.
-1, 4, 5
Let g(i) be the third derivative of 1/600*i**6 - 1/300*i**5 - 17*i**2 + 1/30*i**3 + 0*i - 1/120*i**4 + 0. Factor g(b).
(b - 1)**2*(b + 1)/5
Let c = 2440/10953 - 2/3651. Factor -250/9 - 50/3*i - 10/3*i**2 - c*i**3.
-2*(i + 5)**3/9
Let p = 28 + -130. Let s = p -