0*t**2 - 15*t - 2. Let a(c) = u*w(c) - 2*m(c). Factor a(i).
5*i*(i - 3)*(i + 1)
Let v(y) be the first derivative of -10*y**5 + 135*y**4/2 - 152*y**3 + 784*y**2/5 - 384*y/5 + 715. Solve v(w) = 0 for w.
4/5, 3
Factor -106*n**2 - 98*n**2 - 160 - 107*n**2 + 316*n**2 - 155*n.
5*(n - 32)*(n + 1)
Let -10*m - 16*m**2 + 16 + 41*m**2 - 16*m**2 - 8*m**2 = 0. What is m?
2, 8
Factor -4/5*t**2 - 4 - 2/5*t**3 + 26/5*t.
-2*(t - 2)*(t - 1)*(t + 5)/5
Let s = 62180/7 + -8882. Factor s*v - 3/7*v**2 - 9/7*v**3 + 0.
-3*v*(v + 1)*(3*v - 2)/7
Let o = 4456/7 + -636. Let a(v) be the first derivative of 1/21*v**6 - 16/21*v**3 - v**2 - 1/7*v**4 - o*v + 6 + 4/35*v**5. Factor a(n).
2*(n - 2)*(n + 1)**4/7
Let g(d) be the first derivative of -d**6/2 - 117*d**5/5 + 249*d**4/2 - 254*d**3 + 513*d**2/2 - 129*d + 113. Factor g(q).
-3*(q - 1)**4*(q + 43)
Factor -6 + 192*l**2 - 19 - 104*l**3 - 7 - 96*l + 8*l**4 + 10*l**4.
2*(l - 2)**3*(9*l + 2)
Let k = -4767293 - -8843327713/1855. Let i = -1/265 - k. Find b such that 6/7 - i*b**4 + 9/7*b**3 - 9/7*b - 3/7*b**2 = 0.
-1, 1, 2
Solve 4*t + 133*t**2 - 418*t**2 - 140*t**3 - 14*t = 0.
-2, -1/28, 0
Let q(y) = -6*y**2 + 3*y + 6. Let t be q(-2). Let f = 26 + t. Solve -u + 4*u**2 - 5 - u**3 + f*u + 3 - 2*u**2 = 0.
-1, 1, 2
Let y(z) be the third derivative of z**5/20 - z**4 - 9*z**3/2 - 33*z**2 + 2*z. Factor y(p).
3*(p - 9)*(p + 1)
Let r(n) be the second derivative of 3/8*n**4 - 5*n - 1/20*n**5 - 7/2*n**2 - n**3 + 0. Let z(p) be the first derivative of r(p). Factor z(l).
-3*(l - 2)*(l - 1)
Let k(z) = -3*z**5 - z**4 - 3*z**3 - 9*z**2 + z - 5. Let l(p) = -p**5 - 2*p**3 - 4*p**2 + p - 2. Let y(j) = -2*k(j) + 5*l(j). Let y(n) = 0. Calculate n.
-3, -1, 0, 1
Let -4/3*c + c**2 + 1/3*c**3 + 0 = 0. What is c?
-4, 0, 1
Let r(q) be the first derivative of -14*q**3/3 - 24*q**2 - 18*q - 61. Factor r(m).
-2*(m + 3)*(7*m + 3)
Let k(y) be the first derivative of 4*y**5/5 + 7*y**4 + 24*y**3 + 40*y**2 + 32*y - 83. Factor k(i).
4*(i + 1)*(i + 2)**3
Let s(l) be the first derivative of l**4/84 - l**3/14 + l**2/7 + 5*l - 8. Let o(c) be the first derivative of s(c). Factor o(g).
(g - 2)*(g - 1)/7
Let i(y) = -y**2 + 9*y - 1. Let b be i(8). Factor -b*d**2 + 2 - 3*d - d + 21*d**2 - 12*d**2.
2*(d - 1)**2
Suppose -2*c = -r + 190 - 56, 3*r = 4*c + 392. Let b = -612/5 + r. Find z such that -8/5 - b*z - 2/5*z**2 = 0.
-2
Let k = -95 - -100. Let u(s) be the first derivative of -1/10*s**4 - 3/25*s**k + 2/15*s**3 + 1/5*s + 3/10*s**2 - 5 - 1/30*s**6. Let u(x) = 0. What is x?
-1, 1
Let j be (18/(-10))/((-114)/190). Let p(a) be the third derivative of 0*a - 1/330*a**5 + 0*a**4 + 5*a**2 + 0*a**j + 0. Suppose p(m) = 0. Calculate m.
0
Suppose 200 - 182 = -3*n. Let c be (-8)/n*(-2 - 38/(-16)). Suppose 0 + c*v + v**2 + 1/2*v**3 = 0. Calculate v.
-1, 0
Let g(o) = -o + 2. Let i be g(-1). Suppose -3*x - i*t + 27 = 0, 2*x + t = 4*x - 3. Factor 2/3*k**2 + 0*k**3 + 1/3*k**5 - 1/3*k + 0 - 2/3*k**x.
k*(k - 1)**3*(k + 1)/3
Solve 254/11 + 46*f + 250/11*f**2 - 2/11*f**3 = 0.
-1, 127
Let s = 88 - 9. Suppose 51*r**2 + 42*r**4 - 91 + 87*r**3 + s - 36*r + 18*r**3 + 12*r**3 = 0. Calculate r.
-2, -1, -2/7, 1/2
Factor 100*m**3 + 48*m**3 - 208*m + 212 - 142*m**2 - 74*m**2 + 4*m**4 + 60*m**3.
4*(m - 1)**2*(m + 1)*(m + 53)
Let x be ((-2)/4)/(3/(-36)). Let i be ((-4)/x)/(1/(-6)). Determine s so that s**i + 0*s**3 - s**3 + s**3 + s**3 = 0.
-1, 0
Let y(k) be the second derivative of k**9/756 + k**8/120 + k**7/60 + k**6/90 + 2*k**3 - 7*k. Let z(n) be the second derivative of y(n). What is d in z(d) = 0?
-2, -1, -1/2, 0
Suppose 0 + 2/7*l**3 + 0*l + 44/7*l**2 = 0. Calculate l.
-22, 0
Let c(v) be the third derivative of v**8/3528 + 52*v**7/2205 + 173*v**6/252 + 219*v**5/35 - 297*v**4/7 + 648*v**3/7 + 71*v**2. Find g, given that c(g) = 0.
-18, 1
Let d(b) = 13*b + 54. Let m(l) = 9*l + 36. Let z(s) = 5*d(s) - 7*m(s). Let q be z(-7). Let -8 + q*t - 1/2*t**2 = 0. Calculate t.
4
Let u be (252/(-12))/(-273)*2. Factor -12/13*m**2 - 16/13 - 24/13*m - u*m**3.
-2*(m + 2)**3/13
Let n(d) be the second derivative of d**6/120 - d**5/160 - d**3/2 + 17*d. Let j(w) be the second derivative of n(w). Factor j(f).
3*f*(4*f - 1)/4
Let b = 8 - 2. Suppose -4 = -j - j, b = 4*z - j. Factor 11*v**z - 8*v - 3*v**2 - 4 - 4*v**2 + 8*v**3.
4*(v - 1)*(v + 1)*(2*v + 1)
Let f = 561/5 - 112. Let t = 2 + -2. Solve 2/5*c**2 - 1/5*c**3 + 0 + f*c**5 + t*c - 2/5*c**4 = 0.
-1, 0, 1, 2
Let i(g) be the second derivative of 0 - 1/225*g**6 + 1/75*g**5 + g + 0*g**2 + 0*g**3 - 1/90*g**4. Let i(p) = 0. What is p?
0, 1
Let z(g) be the third derivative of g**5/150 + 3*g**4/20 + 3*g**2 + 3*g. Factor z(u).
2*u*(u + 9)/5
Let q(m) be the first derivative of -m**3 + 39*m**2/2 - 36*m - 14. Let q(r) = 0. Calculate r.
1, 12
Let u be (7 + 1)*(-9)/18. Let x be 6/u*12/(-9). Factor -b**2 - b**2 + x*b**2 + b**2.
b**2
Suppose -75*m = -44*m - 36*m. Determine c so that 8/5*c**5 - 4/5*c + 22/5*c**2 - 24/5*c**3 + m - 2/5*c**4 = 0.
-2, 0, 1/4, 1
Let r(s) be the third derivative of s**9/181440 + s**8/10080 + s**7/1260 + s**6/270 + s**5/20 + 10*s**2. Let j(d) be the third derivative of r(d). Factor j(h).
(h + 2)**3/3
Let c(i) be the third derivative of i**6/20 + 52*i**5/15 - 37*i**4/12 - 70*i**3/3 - 45*i**2 + 3. Factor c(k).
2*(k - 1)*(k + 35)*(3*k + 2)
Suppose -23/3*q + 13/3*q**4 + 25/3*q**3 - 8/3 - 5/3*q**2 - 2/3*q**5 = 0. Calculate q.
-1, -1/2, 1, 8
Let o(k) = k. Let x be o(2). Let p(t) be the first derivative of -x*t**4 + 2/5*t**5 + 0*t + 8/3*t**3 + 0*t**2 + 5. Solve p(y) = 0 for y.
0, 2
Let r = 386/303 - -6/101. Let l(x) be the first derivative of 2/3*x - 3 - 1/2*x**2 - 7/12*x**4 - r*x**3. Solve l(u) = 0.
-1, 2/7
Let a(w) be the second derivative of -w**6/1080 + w**5/120 - w**4/36 - 2*w**3/3 + 33*w. Let h(g) be the second derivative of a(g). Let h(t) = 0. Calculate t.
1, 2
Determine j, given that -5*j**3 + 14*j**3 - 55*j**2 - 10*j**3 - 53 - 107*j = 0.
-53, -1
Let k(i) = 2*i**2 - 7*i. Let x(z) = -4*z**2 + 13*z. Let h(b) = -b**2 - 5*b. Let g be h(-3). Suppose 2*w + 0 + g = 0. Let j(f) = w*x(f) - 5*k(f). Factor j(n).
2*n*(n - 2)
Suppose -2/9 + 0*o**3 + 0*o - 2/9*o**4 + 4/9*o**2 = 0. Calculate o.
-1, 1
Suppose -54 = -3*p + 33. Solve -p*j + 3*j**2 - 13*j + 147 + 0*j**2 = 0 for j.
7
Let g(i) be the third derivative of 0*i**4 - 1/160*i**6 + 0*i**5 + 0 + 0*i**3 + 0*i - 1/280*i**7 - 3*i**2. Solve g(r) = 0.
-1, 0
Let d = 254 + -2284/9. Let i(u) be the first derivative of -2/27*u**3 + d*u**2 - 1 + 2/3*u. Factor i(h).
-2*(h - 3)*(h + 1)/9
Suppose 5*j + 15 = -3*d, 2*d + 11 = 3*j - 18. Let f be 4*1/(-2) + (-64)/d. What is r in -f*r - 4/5 - 18/5*r**2 = 0?
-1, -2/9
Let t(u) = 7*u**4 + 46*u**3 - 673*u**2 + 3504*u - 5800. Let g(b) = -b**4 - b**2 - b + 3. Let h(r) = 40*g(r) + 5*t(r). Factor h(q).
-5*(q - 19)**2*(q - 4)**2
Let c(y) be the second derivative of -y**7/6 + 3*y**6/10 + 2*y**5 - y**4 - y + 11. Let c(s) = 0. Calculate s.
-2, 0, 2/7, 3
Let v(t) be the third derivative of -t**6/480 + t**5/32 - t**4/8 + t**3/3 - 11*t**2. Let f(b) be the first derivative of v(b). Factor f(x).
-3*(x - 4)*(x - 1)/4
Let q(h) be the first derivative of 54*h - 16 - 1/2*h**4 - 27*h**2 + 6*h**3. Factor q(y).
-2*(y - 3)**3
Let q(v) be the first derivative of -8 + 17/14*v**2 + 5/7*v**3 + 2/7*v. What is o in q(o) = 0?
-1, -2/15
Let l(f) be the third derivative of f**5/70 + 25*f**4/84 + 22*f**3/21 + 644*f**2. What is k in l(k) = 0?
-22/3, -1
Suppose 1/4*i**4 - 1/4*i**2 - 1 - 5/4*i**3 + 1/4*i**5 + 2*i = 0. Calculate i.
-2, 1
Let w = 7 - 5. Determine t, given that 8 + t**w + t**2 - 42*t + 34*t = 0.
2
Suppose 15/2*c**3 - 5/2*c**2 - 8*c + 6 - 7/2*c**4 + 1/2*c**5 = 0. Calculate c.
-1, 1, 2, 3
Factor -25/3 + 3*z**2 - 5*z - 1/3*z**3.
-(z - 5)**2*(z + 1)/3
Let n(h) = -7*h - 9. Let v be n(-3). Suppose -4*t + v = 4*i, t + 0*i = -2*i + 4. Solve 7*d**t + 3*d + 9*d**2 + 1 + d**3 - 13*d**2 = 0 for d.
-1
Let u(t) be the first derivative of 4*t**3/9 - 19*t**2/6 - 380. Find j such that u(j) = 0.
0, 19/4
Let s = 7 + -3. Let a be (-7)/14 + (-1 - 7/(-2)). Factor -4*o**a - 3 + 1 + 2*o**2 + s*o.
-2*(o - 1)**2
Let y(w) be the third derivative of -w**6/24 - w**5/6 + 35*w**4/24 - 10*w**3/3 - 197*w**2. Suppose y(p) = 0. Calculate p.
-4, 1
Let r = -7 + 11. Suppose -13 = -5*y + o - 3, -r*o + 11 = -3*y. Suppose -3*i**2 + 4 - 1 + y + 3*i = 0. C