*(v + 31)**3/9
Let z = -23 - -24. Factor 4*p + 2*p**4 + 0*p**3 - p - 3*p**3 - p**2 - z + 0*p**2.
(p - 1)**2*(p + 1)*(2*p - 1)
Let h(o) be the third derivative of -o**7/840 - o**6/120 + 13*o**4/24 + 10*o**2. Let p(v) be the second derivative of h(v). Factor p(l).
-3*l*(l + 2)
Let b(p) be the third derivative of -p**8/1008 + p**6/180 - p**4/72 - 46*p**2. Factor b(s).
-s*(s - 1)**2*(s + 1)**2/3
Let n be ((-6)/(-7))/(6/8). Let f = 4818/7 - 686. Determine h so that -f*h**2 - n - 4/7*h**3 - 20/7*h = 0.
-2, -1
What is f in 2/13*f**3 + 1242/13*f + 2116/13 + 96/13*f**2 = 0?
-23, -2
Let j(h) be the first derivative of h**4/18 + 10*h**3/27 + 4*h**2/9 - 141. Let j(k) = 0. What is k?
-4, -1, 0
Let r(q) be the third derivative of -q**6/200 - 41*q**5/100 - 79*q**4/40 - 39*q**3/10 - 250*q**2. Suppose r(p) = 0. What is p?
-39, -1
Let x(a) be the second derivative of 0 - 1/9*a**3 + a + 1/60*a**5 + 1/36*a**4 + 0*a**2. Determine u, given that x(u) = 0.
-2, 0, 1
Find v such that -90 + 240*v**2 - 47*v - 78*v + 274*v**3 - 299*v**3 = 0.
-2/5, 1, 9
Let p(x) be the third derivative of -x**7/840 - x**6/80 + 3*x**5/80 + 7*x**4/48 - 94*x**2. Let p(y) = 0. Calculate y.
-7, -1, 0, 2
Let h(i) = -i + 0*i + 0*i - i**2. Let x(w) = -18*w**3 + 15*w**3 + w + 11*w**2 - 8*w + 3. Let k(u) = 2*h(u) + x(u). Determine p so that k(p) = 0.
1
Let m be 2 - (-1 + -2)/3. Suppose -2*q + 5*y + 45 = 0, m*y = q - 2*y - 30. Factor -g**3 + 6*g - 39*g**2 + 24*g**2 + q*g**4 - 5*g**3.
3*g*(g - 1)*(g + 1)*(5*g - 2)
Let v = 7 - 5. Let j be (-9)/(-15) + 48/20. Determine l, given that 2*l**v - j*l + 7*l + l + l = 0.
-3, 0
Factor -9*r**3 - 3*r**2 + 4 + 14*r**3 + 0*r**2 - 6*r**3.
-(r - 1)*(r + 2)**2
Let u = 17 - 15. Suppose 6*g = u*g + 24. Factor -a + 4*a + g*a**2 + 7*a**3 - 4*a**3.
3*a*(a + 1)**2
Factor -35/8*p**4 - 43/2*p + 31/8*p**3 + 107/8*p**2 + 17/2 + 1/8*p**5.
(p - 34)*(p - 1)**3*(p + 2)/8
Find d, given that 6*d**4 - 7*d - d - 8*d**5 - 6*d**2 - 6*d**5 + 12*d**5 + 10*d**3 = 0.
-1, 0, 1, 4
Let 16/5*z**2 - 24/5 - 4/5*z - 4/5*z**3 = 0. Calculate z.
-1, 2, 3
Suppose 38 - 33 = 5*s. Let t be s/((1/4)/(42/280)). Factor t - 1/5*m**3 + 1/5*m - 3/5*m**2.
-(m - 1)*(m + 1)*(m + 3)/5
Solve -46*x**2 - 9*x**2 + 44*x + 51*x**2 + 240 = 0 for x.
-4, 15
Factor 4/7*b**2 - 4/7*b**3 + 0 + 24/7*b.
-4*b*(b - 3)*(b + 2)/7
Let o(z) be the first derivative of z**3/6 + 7*z**2/2 + 13*z/2 - 91. Factor o(f).
(f + 1)*(f + 13)/2
Let a(f) be the second derivative of f**7/168 - f**6/20 + 11*f**5/80 - f**4/24 - f**3/2 + f**2 - 91*f. Factor a(m).
(m - 2)**3*(m - 1)*(m + 1)/4
Let m(o) be the third derivative of o**5/30 + o**4/12 - 2*o**3/3 + o**2 + 46. Factor m(i).
2*(i - 1)*(i + 2)
Find f such that 4*f**3 + 8*f**2 + 0 + 16/3*f + 2/3*f**4 = 0.
-2, 0
Factor -42*a + 66 - 14*a + 29*a - 3*a**2.
-3*(a - 2)*(a + 11)
Let n(p) be the first derivative of p**5/5 + 47*p**4/5 + 1726*p**3/15 - 418*p**2/5 - 1083*p/5 - 891. Suppose n(l) = 0. Calculate l.
-19, -3/5, 1
Solve 240/7*w**4 + 50/7*w**5 + 192/7*w**2 + 0 + 368/7*w**3 + 32/7*w = 0 for w.
-2, -2/5, 0
Let p(f) be the second derivative of f**4/24 - 5*f**3/12 - 6*f**2 + 3*f - 64. What is t in p(t) = 0?
-3, 8
Let q be (2 + (-55)/27)/(((-1320)/270)/22). Let -q*c**5 + 1/6*c**3 + 0*c**4 + 0*c**2 + 0*c + 0 = 0. Calculate c.
-1, 0, 1
Determine t so that 17/2*t + 0 + 1/2*t**2 = 0.
-17, 0
Let 2*r**3 + 208/7 + 132/7*r**2 - 2/7*r**4 + 296/7*r = 0. Calculate r.
-2, 13
Factor -14/9*w**2 + 2/9*w**4 + 4/9*w**3 + 0 + 8/9*w.
2*w*(w - 1)**2*(w + 4)/9
Let j(w) be the first derivative of w**4/18 + 4*w**3 + 81*w**2 + 30. Factor j(k).
2*k*(k + 27)**2/9
Let h(p) be the third derivative of -p**6/90 - p**5/10 - p**4/3 + 2*p**3 + 7*p**2. Let s(c) be the first derivative of h(c). What is r in s(r) = 0?
-2, -1
Let n(a) = a**2 + a - 15. Let j be n(-5). Let -540*z**2 - j*z**4 - 61*z**3 - 26*z**3 - 3*z**3 - 1080*z = 0. Calculate z.
-6, 0
Suppose 2*h - 9 = -h. Solve -4*f**2 + 4*f**2 + h - 3*f**2 = 0 for f.
-1, 1
Let b(q) be the third derivative of 2*q**7/105 - 13*q**6/30 + 41*q**5/15 - 47*q**4/6 + 12*q**3 + 13*q**2 - 4. Let b(j) = 0. Calculate j.
1, 2, 9
Suppose 93 - 17 - 68 + 4*t - 4*t**3 - 8*t**2 = 0. Calculate t.
-2, -1, 1
Let i(b) be the second derivative of 4/65*b**6 + 0*b**2 + 0 + 0*b**3 + 1/39*b**7 - 1/39*b**4 - 10*b + 3/130*b**5. Suppose i(p) = 0. What is p?
-1, 0, 2/7
Let r(d) = 26*d**4 + 105*d**3 + 165*d**2 + 83*d + 3. Let j(h) = 235*h**4 + 945*h**3 + 1485*h**2 + 745*h + 25. Let b(q) = -6*j(q) + 55*r(q). Factor b(m).
5*(m + 1)**2*(m + 3)*(4*m + 1)
Let q be ((-6)/10)/((3/3)/(-5)). Factor -42*v + 18*v**3 + 11 - 20*v**q - 47 + 6*v**2 - 22*v**2.
-2*(v + 2)*(v + 3)**2
Determine d so that -18/17*d + 6/17*d**4 + 0 + 66/17*d**2 - 38/17*d**3 = 0.
0, 1/3, 3
Let r(z) = z**2 + 3*z + 2. Let j be r(-3). Suppose -2*s - 2*x = -0*x, -4*x - 12 = 0. What is g in -2*g**2 - g - 3*g**3 + j + 0*g - g + 5*g**s = 0?
-1, 1
Let x = 26 + -23. Let r be x/(-1) - -72 - 2. Factor r - 67 + 4*n**2.
4*n**2
Let i be 2/(-5) + 414/810. Let p(u) be the third derivative of -1/72*u**4 + 0*u - 5*u**2 + 0 - 1/180*u**5 + i*u**3. Factor p(t).
-(t - 1)*(t + 2)/3
Determine s so that 3/2*s**2 - 18 - 3/2*s**3 + 12*s = 0.
-3, 2
Factor -50*h - 10/3*h**2 + 14/3*h**3 + 2/3*h**4 + 0.
2*h*(h - 3)*(h + 5)**2/3
Let n = 19458/11 - 1768. Factor -n*o - 4/11 + 6/11*o**2.
2*(o - 2)*(3*o + 1)/11
Let h(k) be the third derivative of 1/30*k**5 + 0*k + 0 - 2/3*k**3 + 22*k**2 + 1/12*k**4. Factor h(z).
2*(z - 1)*(z + 2)
Let b(i) be the second derivative of -i**4/90 - 14*i**3/45 - 49*i**2/15 + 27*i. Factor b(y).
-2*(y + 7)**2/15
Let u be (-2)/(2 + 3926/(-778) + 3). Let z = -43 + u. Factor 0*w**2 - 2/9*w + 0 + z*w**3.
2*w*(w - 1)*(w + 1)/9
Let o be (5 - -2) + (12 - 19). Let f(q) be the third derivative of o*q**3 + 0*q + 0 + 0*q**4 - 1/20*q**5 + 3*q**2. Factor f(k).
-3*k**2
Suppose n + 25 = -0*n - 5*y, 0 = 3*n - y - 21. Factor -36/7*i + 24/7*i**4 - 4/7*i**n + 8/7 + 64/7*i**2 - 8*i**3.
-4*(i - 2)*(i - 1)**4/7
Let m be (12/4)/(-3 + 4). Factor -16*i - 10*i**2 + 24 + 72 + 3*i**m - i**3.
2*(i - 4)**2*(i + 3)
What is o in 784*o**3 - 6*o**4 + 2412*o**2 - 648*o - 3*o**5 + 19*o**5 - 254*o**4 = 0?
-2, 0, 1/4, 9
Let k(l) be the first derivative of -l**4/6 + 2*l**3/9 + 7*l**2 - 30*l - 180. Determine f so that k(f) = 0.
-5, 3
Let j be (7 - 6)/4*14/7. Factor 0 + 1/2*f**2 - j*f.
f*(f - 1)/2
Let 1316*s**3 + 40*s**2 - 2621*s**3 + 1310*s**3 = 0. What is s?
-8, 0
Let z = -703/66 - -32/3. Let a(v) be the third derivative of 1/1155*v**7 - 1/330*v**5 + 0 + 0*v + 0*v**3 - 1/330*v**6 + 3*v**2 + z*v**4. Factor a(w).
2*w*(w - 2)*(w - 1)*(w + 1)/11
Let y(i) be the third derivative of -i**5/140 - 75*i**4/56 + 11*i**3 - 184*i**2. Factor y(d).
-3*(d - 2)*(d + 77)/7
Suppose -5*f = -0 - 20. Let u be 12/5 + (-2)/5. Let f*p**u - 3*p**5 + p**2 - 6*p**2 - 3*p**4 + 4*p**2 + 3*p**3 = 0. What is p?
-1, 0, 1
Determine f, given that -7*f**4 - 3*f**3 - 60/7*f + 122/7*f**2 + 8/7 = 0.
-2, 2/7, 1
Let f = -582 + 587. Let u(k) be the first derivative of 0*k - f - 3/4*k**4 + 3/2*k**2 + 0*k**3. Let u(t) = 0. What is t?
-1, 0, 1
Let u = -211/4 + 217/4. Let j(b) be the first derivative of u*b**2 - 3/4*b**4 + b**3 + 0*b - 6 - 3/5*b**5. Factor j(x).
-3*x*(x - 1)*(x + 1)**2
Suppose -3*u = 0, 5*x + 0*u + 2*u - 20 = 0. Suppose 0*i - x*i + 12 = 0. Factor a**3 - 6*a**i - 8*a**2 + 16*a**2 - 2 - a.
-(a - 1)**2*(5*a + 2)
Factor 3*r**3 + 5/2*r**4 + 1/2*r**5 - 2*r**2 - 4*r + 0.
r*(r - 1)*(r + 2)**3/2
Determine y so that -11*y**2 + 10*y + 2*y**3 - 48 + 15*y**2 - 26*y**2 + 36*y + 22*y = 0.
1, 4, 6
Let f be (4 - -1) + (-4)/8*6. Factor -l + 2*l**2 + l**4 - 53*l**3 - 5*l**2 + f + 54*l**3.
(l - 1)**2*(l + 1)*(l + 2)
Let l(k) = -k**2 - 17*k - 20. Let o(c) = 0*c**2 + 28 - 27 - c**2 + c. Let h(y) = -l(y) + 4*o(y). Factor h(s).
-3*(s - 8)*(s + 1)
Let n be (0 - 6)/(3 - 6). Let l(b) = 2*b - 4. Let s be l(3). Suppose 4*j**2 - 5*j**s + 7 - 3*j**4 - 2*j**n - 9*j**3 + 9*j - 1 = 0. What is j?
-2, -1, 1
Solve -48/5*v**2 + 0 - 12/5*v**3 - 64/5*v - 1/5*v**4 = 0.
-4, 0
Solve 16*r**4 + 16*r**5 + 28*r**4 + 17*r**4 - 5*r**4 - 12*r**5 = 0.
-14, 0
Let s(o) be the second derivative of -o**5/90 + o**4/18 - o**3/9 + o**2/9 + 7*o - 7. Factor s(c).
-2*(c - 1)**3/9
Let y(l) = 37*l - 1700. Let c be y(46). Factor 0*d**3 - 4/3*d + 0 - 2*d**c + 2/3*d**4.
2*d*(d - 2)*(d + 1)**2/3
Supp