*x**2 + 7*x - c.
-3*x*(x - 2)
Let v(o) be the third derivative of -o**5/140 + 81*o**4/56 - 40*o**3/7 + 2*o**2 - 1499. Factor v(a).
-3*(a - 80)*(a - 1)/7
Let j be 4/(-7) - (128/(-28) - 0). Determine g so that 244*g**5 - 242*g**5 - 2*g**2 + 3*g**3 + 3*g**j - 6*g**3 = 0.
-2, -1/2, 0, 1
Let o(x) = 32*x**2 - 1036*x - 978. Let p(a) = -14*a**2 + 444*a + 419. Let z(u) = 13*o(u) + 30*p(u). Suppose z(q) = 0. What is q?
-36, -1
Suppose 401*m - 181*m = 880. What is a in -1/4*a**m + 1/2*a - 5/4*a**2 + 0 + a**3 = 0?
0, 1, 2
Let l(y) be the third derivative of 0*y**4 - 2*y - 1/180*y**6 - 1/945*y**7 + 0 + 44*y**2 - 1/135*y**5 + 0*y**3. Solve l(f) = 0.
-2, -1, 0
Let u = -9932 + 9932. Let c(y) be the first derivative of -5/3*y**3 - 41 - 3/4*y**4 - y**2 + u*y + 1/6*y**6 + 1/5*y**5. Factor c(x).
x*(x - 2)*(x + 1)**3
Let l(i) = -2*i**2 + 47*i - 20. Let f be l(20). Suppose 4*j + 2*u = u + 258, -2*j = -4*u - f. Let 61*g + 79*g + j + g**2 - 124*g = 0. What is g?
-8
Suppose 3*h = -5*p + 8*h + 110, 116 = 4*p + 3*h. Suppose 6*y - p*y = -6*y. Find f, given that 0 + 2/5*f**2 - 2/5*f**4 + 0*f**3 + y*f = 0.
-1, 0, 1
Suppose -3*k + 308 = 4*v - 8*k, 77 = v + 5*k. Let l be ((-22)/v)/((-2)/12). Let 2/7*h**2 - l*h + 18/7 = 0. Calculate h.
3
Find m, given that 165/2*m**3 - 885/4*m**2 - 25/4*m**4 - 455*m + 735 = 0.
-2, 6/5, 7
Factor 2031/2*n + 0 + 3/2*n**2.
3*n*(n + 677)/2
Let l(d) = -16*d**2 + 72*d - 48. Suppose 3*g - 25 = -2*v + 12, 0 = v + 4*g - 31. Let u(b) = -47*b**2 + 218*b - 144. Let p(z) = v*l(z) - 4*u(z). Factor p(k).
4*(k - 6)*(3*k - 2)
Suppose -2*b + 8 = 2*t, 8*t = 10*t - 4*b + 4. Suppose -67597*y**t + 0 + 0 + 67452*y**2 + 35*y + 20*y**3 = 0. Calculate y.
0, 1/4, 7
Suppose -2 = 5*a - 12. Suppose i - 42 = -5*t + t, 4*t = a*i - 96. Suppose i*x - 42*x + 7*x**5 - 8*x**3 - 3*x**5 = 0. Calculate x.
-1, 0, 1
Suppose 53/2*f**4 + 27/4*f**3 - 17/4*f**5 + 260*f - 48 - 241*f**2 = 0. Calculate f.
-3, 4/17, 1, 4
Let m(u) be the first derivative of u**4/18 + 64*u**3/27 + 15*u**2 + 619. Suppose m(y) = 0. What is y?
-27, -5, 0
Let -44*d**3 - 64*d - 38/7*d**4 - 678/7*d**2 - 40/7 = 0. What is d?
-5, -2, -1, -2/19
Let s be -3*(-8)/(-72)*6 - 144/(-40). Find p such that s*p + p**2 - 4/5 = 0.
-2, 2/5
Find u, given that 1/2*u**2 + 113/2*u + 0 = 0.
-113, 0
Let i(n) be the second derivative of -64*n - 1/20*n**5 + 0 - n**2 + 5/32*n**4 + 1/240*n**6 + 1/6*n**3. Factor i(r).
(r - 4)**2*(r - 1)*(r + 1)/8
Let m be 3/7 - (1 + (-265)/35). Factor m*u + 3*u**2 - 3*u**2 - 2*u**2 + 25*u - 128.
-2*(u - 8)**2
Let q = 17478 + -17472. Suppose -p = 4*p, -5*p + 20 = 5*x. Solve 7*n**4 - 3*n**2 + n**5 + 2*n**5 - 10*n**3 - x*n**4 + q*n + n**3 = 0 for n.
-2, -1, 0, 1
Let y(u) be the first derivative of -23/9*u**3 + 12*u - 4*u**2 + 1/18*u**6 - 3/5*u**5 + 9/4*u**4 + 66. Determine q so that y(q) = 0.
-1, 2, 3
Let u(s) = 1 + s**2 + s - 3 + 4*s - 3*s. Let q(z) = -z**4 + z**2 - 2*z + 1. Let j(x) = q(x) + u(x). Suppose j(g) = 0. Calculate g.
-1, 1
Let b(q) = -q**3 - 4*q**2 - 3*q + 2. Let u be b(-3). Let g be 14/12*u - 8/24. Factor -4/3*o + 0 + o**3 - 4/3*o**g.
o*(o - 2)*(3*o + 2)/3
Let t = -140 + 144. Factor 9*v**5 + 21*v**2 + 12*v**2 - 8*v**5 - 2*v**4 - 29*v**2 - 3*v**3 + t*v.
v*(v - 2)**2*(v + 1)**2
Let t = -1286 - -4359. Let -6145*o**2 + t*o**2 - 27*o + 3075*o**2 = 0. Calculate o.
0, 9
Let w(u) be the third derivative of 3*u**6/10 - 134*u**5/15 + 553*u**4/6 - 784*u**3/3 - 434*u**2. Factor w(p).
4*(p - 7)**2*(9*p - 8)
Let x(r) be the third derivative of r**7/630 + r**6/360 - 8*r**5/45 - 5*r**4/6 - 382*r**2. Factor x(v).
v*(v - 6)*(v + 2)*(v + 5)/3
Let y(v) be the first derivative of v**7/168 - v**6/24 + v**3 + 4*v**2 - 21. Let w(u) be the third derivative of y(u). Factor w(a).
5*a**2*(a - 3)
Suppose -3/5*u**4 - 36/5*u**3 + 36/5*u + 81/5 - 78/5*u**2 = 0. Calculate u.
-9, -3, -1, 1
Let j(g) be the first derivative of -3*g**5/20 - 3*g**4/4 + g**3/2 + 9*g**2/2 - 22*g + 28. Let l(t) be the first derivative of j(t). Factor l(f).
-3*(f - 1)*(f + 1)*(f + 3)
Suppose 2160 = -8*n + 2184. Let l(w) be the third derivative of 0*w - 3/14*w**4 - 13/140*w**5 - 2/7*w**n + 22*w**2 + 0 - 3/140*w**6 - 1/490*w**7. Factor l(h).
-3*(h + 1)**2*(h + 2)**2/7
Let n(q) be the second derivative of 5/2*q**3 + 7/10*q**6 + 3*q**2 - 3/4*q**5 - 4*q - 9/4*q**4 - 5. Factor n(u).
3*(u - 1)**2*(u + 1)*(7*u + 2)
Let y(h) be the second derivative of h**6/45 + h**5/15 - 3*h**4/2 - 56*h**3/9 + 80*h**2/3 + 2296*h. Factor y(m).
2*(m - 5)*(m - 1)*(m + 4)**2/3
Let b be -3 + 2 - (6 - -9 - 16). Find c such that 9*c**2 + 9/4*c**4 + 12*c**3 - 3/4*c**5 + 0 + b*c = 0.
-2, -1, 0, 6
Suppose 241 = 3*o - 2*c, -7*c = 2*o - 9*c - 158. Suppose 0 = -o*x - 8 + 257. What is b in 0 + 9/2*b**2 - 3*b - 3*b**4 + 9/2*b**x = 0?
-1, 0, 1/2, 2
Let i be 3/(-5) - (2 + (-156)/60). Let k(y) be the second derivative of 0 + 1/3*y**3 + 1/12*y**4 - 1/30*y**6 - 1/4*y**5 - 7*y + i*y**2 + 1/14*y**7. Factor k(u).
u*(u - 1)**2*(u + 1)*(3*u + 2)
Suppose 0 = -13*n + 18*n - 35. Factor -2*x**3 + n*x**3 + 18*x**4 - x**3 + 8*x**2 - 22*x**4.
-4*x**2*(x - 2)*(x + 1)
Let r(t) = -18*t**3 - 51*t**2 - 92*t - 14. Let d(m) = -12*m**3 - 52*m**2 - 92*m - 16. Let q(x) = 5*d(x) - 4*r(x). Factor q(c).
4*(c - 6)*(c + 1)*(3*c + 1)
Factor -231*y**2 - 166 + 434 - 130*y + 229*y**2.
-2*(y - 2)*(y + 67)
Solve -2/7*f**3 - 18/7*f**2 + 72/7 + 8/7*f = 0.
-9, -2, 2
Let t(u) be the second derivative of -u**5/12 + 5*u**4/24 + 10*u**3 + 44*u**2 + 113*u. Let l(b) be the first derivative of t(b). What is p in l(p) = 0?
-3, 4
Let m(h) be the first derivative of 185/2*h**2 + 0*h - 12 - 5/3*h**3. Factor m(f).
-5*f*(f - 37)
Factor 17/4*v**2 + 1/4*v**3 - 1539 - 90*v.
(v - 19)*(v + 18)**2/4
Let q be (0 + -2*5)/(0 + -2). Let f(c) = c**2 - c - 11. Let z be f(q). Solve -z*i**2 + 1 - 7 - 13 + 4 + 27*i - 3*i**3 = 0.
-5, 1
Let g = -631219 - -3156096/5. Suppose -3*a**2 + 27/5*a + 243/5 + g*a**3 = 0. What is a?
-3, 9
Let d(h) = 9*h**2 - h + 1. Let y be d(-1). Suppose -8*r - 2*r = y*r. Factor -18/7*n - 2/7*n**3 - 12/7*n**2 + r.
-2*n*(n + 3)**2/7
Factor 280/9*b**2 + 536/9 - 4/9*b**3 - 812/9*b.
-4*(b - 67)*(b - 2)*(b - 1)/9
Let v be (-2)/(-12) + (-11)/66. Let b(n) be the second derivative of 22*n + 0 + v*n**2 + 1/4*n**4 + 1/2*n**3. Determine k, given that b(k) = 0.
-1, 0
Let f(i) be the first derivative of 30*i + 1/4*i**3 + 19 - 1/24*i**4 + 0*i**2. Let l(h) be the first derivative of f(h). Factor l(g).
-g*(g - 3)/2
Suppose 4*x + w = 8, -2*x + 4 = 4*w - 5*w. What is r in -21*r**3 - 15*r**4 + 358*r + 22*r**x - 7*r**2 + 3*r**5 - 340*r = 0?
-1, 0, 1, 6
Let b(n) be the third derivative of -5/6*n**4 + 0*n - 15 - 3*n**2 + 4/3*n**3 + 4/15*n**5 - 1/30*n**6. Let b(y) = 0. Calculate y.
1, 2
Let s(i) be the third derivative of -49*i + 0*i**3 + 2*i**2 - 1/24*i**6 + 0 - 1/42*i**7 + 1/12*i**5 + 1/12*i**4 + 1/112*i**8. Suppose s(l) = 0. What is l?
-1, -1/3, 0, 1, 2
Suppose 3*w + 4*d = d + 207, 252 = 4*w - 4*d. Let l = -63 + w. Find c such that 3/4*c**l - c**4 + 0 + c**2 - c + 1/4*c**5 = 0.
-1, 0, 1, 2
Find j, given that 264/7 - 2/7*j**2 - 262/7*j = 0.
-132, 1
Factor 368 - 2/9*s**2 - 398/9*s.
-2*(s - 8)*(s + 207)/9
Let k(l) be the first derivative of -l**6/9 - 16*l**5/15 - 2*l**4 + 52*l**3/9 + 61*l**2/3 + 20*l + 1581. Find v such that k(v) = 0.
-5, -3, -1, 2
Let s(a) = -3*a + 3. Let v be s(1). Suppose -2*w + 6 = -v*w. Suppose l**4 + 3*l + 0*l**2 + w*l**5 + 3*l**2 + 3*l**2 - 6*l**3 - 4*l**4 - 3 = 0. Calculate l.
-1, 1
Let g be 8/3 + 44/(-66). Suppose -5*y = -4*y - g. Factor 73*z - 65*z + z**2 + z**y.
2*z*(z + 4)
Factor -392/3 + 12*p**2 - 476/3*p.
4*(p - 14)*(9*p + 7)/3
Suppose -2*k - z + 7 = 0, -5*z = -1371*k + 1374*k - 21. Let a(l) be the first derivative of -6*l - 17/2*l**k + 1/5*l**5 - 10 - 3/4*l**4 - 5*l**3. Factor a(x).
(x - 6)*(x + 1)**3
Let q be 476/588*2 + (-4)/14. Let w = -47 - -143/3. Let 2/3*i**3 - w*i**4 - 10/3*i + 2*i**2 + q = 0. Calculate i.
-2, 1
Factor 675*c + 28*c**5 + 366*c**2 + 174*c**2 - 25*c**5 + 90*c**3 + 243 - 45*c**4 + 30*c**2.
3*(c - 9)**2*(c + 1)**3
Let c be -2 + 10/20*-2*-4. Let v(w) be the first derivative of -w**c + 25 + 8/3*w - 2/9*w**3. Factor v(n).
-2*(n - 1)*(n + 4)/3
Let q = -2589687/2 + 1294845. Determine i so that q*i**2 + 48 - 18*i = 0.
4, 8
Let g(r) be the second derivative of 23/55*r**5 + 27/11*r**2 + 1/15*r**6 + 15/11*r**4 + 27/1