 0.
-19, -6
Let m = 1756 - 1751. Let a(z) be the first derivative of -5 + 7/26*z**4 + 0*z + 2/13*z**m + 0*z**2 + 4/39*z**3. Factor a(y).
2*y**2*(y + 1)*(5*y + 2)/13
Let l = 3883/5092 + -16/1273. Factor l*f**2 - 21/2 - 15/4*f.
3*(f - 7)*(f + 2)/4
Let k(h) be the third derivative of 24*h**2 + 0 - 1/320*h**6 + 0*h - 7/160*h**5 + 7/16*h**3 + 1/64*h**4. Factor k(v).
-3*(v - 1)*(v + 1)*(v + 7)/8
Let l(p) = p**3 + 6*p**2 - 7*p + 7. Let j be l(-7). Let o = 1482 - 1477. Factor 3*f**4 - 11*f**5 + f**3 - f**o + 11*f**5 + 4 - j*f**2.
-(f - 2)**2*(f - 1)*(f + 1)**2
Find t such that -2*t**2 - 12 - 544*t - 528 + 2*t**2 - 4*t**2 = 0.
-135, -1
Let v(o) be the first derivative of -8*o - 16/3*o**2 - 2/3*o**3 + 1/6*o**4 + 25. Factor v(b).
2*(b - 6)*(b + 1)*(b + 2)/3
Solve 5*c**3 + 65*c**2 + 278*c + 2119 - 538*c - 2439 = 0 for c.
-16, -1, 4
Let y be 72/54 + 88/6. Suppose 6*q = 10*q - y. Determine r, given that 4*r**2 + q + 3*r - 3*r**2 - 2 = 0.
-2, -1
Factor 6/5*x**2 - 2/5*x**3 + 962/5*x - 966/5.
-2*(x - 23)*(x - 1)*(x + 21)/5
Let h(i) be the second derivative of -i**4/60 + 53*i**3/30 - 246*i**2/5 + 536*i - 5. Find f such that h(f) = 0.
12, 41
Let n(p) be the second derivative of 5*p**4/12 - 175*p**3/3 - 360*p**2 - 3435*p + 1. Factor n(k).
5*(k - 72)*(k + 2)
Suppose 0 = -3*z + 4*d - 19, 155*z = 150*z + 19*d - 118. Let 74/7*n**4 - 10/7*n**5 - 24/7 - 50/7*n**2 - 78/7*n**z + 88/7*n = 0. Calculate n.
-1, 2/5, 1, 6
Let g(z) be the third derivative of 0*z + 0*z**3 + 16*z**2 + 1/336*z**8 - 2 + 1/25*z**6 + 3/175*z**7 + 7/150*z**5 + 1/40*z**4. Find u such that g(u) = 0.
-1, -3/5, 0
Let r(h) be the first derivative of h**6/1080 - h**5/180 + h**4/72 + 27*h**3 + 16. Let t(g) be the third derivative of r(g). Factor t(s).
(s - 1)**2/3
Let n be (48/30)/(0 + (-2)/(-5)). Let b(y) be the third derivative of 0 + 0*y - 3/16*y**3 + 1/32*y**n - 1/480*y**5 - 10*y**2. Factor b(h).
-(h - 3)**2/8
Let h(j) be the second derivative of -j**5/10 + 8*j**4/3 - 44*j**3/3 - 160*j**2 - 3137*j. Determine y so that h(y) = 0.
-2, 8, 10
Let n(v) = -29*v**3 + 2951*v**2 + 15411*v - 18261. Let i(a) = -7*a**3 + 738*a**2 + 3853*a - 4568. Let o(r) = 9*i(r) - 2*n(r). Factor o(j).
-5*(j - 153)*(j - 1)*(j + 6)
Let w(z) = 60*z + 482. Let q be w(-8). Let y(m) be the second derivative of 0 + 1/48*m**4 + 7*m + 3/8*m**q + 1/6*m**3. Factor y(x).
(x + 1)*(x + 3)/4
Let y(t) be the third derivative of -t**11/20790 + t**10/15120 + t**9/10080 + 11*t**5/15 + 32*t**2 - 2. Let w(r) be the third derivative of y(r). Factor w(j).
-2*j**3*(j - 1)*(8*j + 3)
Suppose 0 = -4*q + 35 + 73. Let t be ((-10)/(-6))/(-5)*q/(-24). Solve -15/8*l + 3/8*l**3 + t*l**2 + 9/8 = 0 for l.
-3, 1
Let t(m) be the third derivative of -m**8/10080 - m**7/126 + 11*m**6/90 - 17*m**5/60 + m**4/6 - 124*m**2. Let r(z) be the third derivative of t(z). Factor r(x).
-2*(x - 2)*(x + 22)
Let y(u) be the first derivative of 3*u**5/80 - 77*u**4/48 + 481*u**3/24 + 169*u**2/8 + 45*u - 118. Let t(p) be the first derivative of y(p). Factor t(n).
(n - 13)**2*(3*n + 1)/4
Let f be 26/(20280/5018) - ((-6)/15 + 1). Let u(z) be the second derivative of -f*z**3 + 31*z + 0*z**2 - 1/4*z**5 + 0 + 10/3*z**4. Factor u(t).
-5*t*(t - 7)*(t - 1)
Let l(h) be the first derivative of -2*h**5/25 + 3*h**4/5 - 22*h**3/15 + 6*h**2/5 + 974. Factor l(v).
-2*v*(v - 3)*(v - 2)*(v - 1)/5
Factor -5982916 - 569*n + 31*n**2 - 77*n**2 + 25*n**2 + 17*n**2 + 10353*n.
-4*(n - 1223)**2
Factor -53*s**2 + 219 + 99*s**2 - 49*s**2 + 69*s - 69.
-3*(s - 25)*(s + 2)
Suppose -827*v**4 + 192*v**4 + 88*v**4 + 161*v**3 + 3*v**5 + 313*v**3 + 304*v**4 = 0. Calculate v.
0, 2, 79
What is f in -23897637567441/4 - 14665563/2*f**2 + 2211*f**3 - 1/4*f**4 + 10808519931*f = 0?
2211
Let c = -2 + 4. Suppose 36 = -81*j + 99*j. Suppose c*q**j + 37*q + q**2 + 5*q - 6*q + 108 = 0. Calculate q.
-6
Determine f so that 3224/3 + 2/3*f**2 - 1616/3*f = 0.
2, 806
Suppose -7 - 73 = -16*q. Factor 7*d**3 - 18*d**3 + d**5 + 2*d**q - 3*d**4 + 11*d**3.
3*d**4*(d - 1)
Let u be 1 - (7 - (-10087)/(-1680)). Let a(n) be the third derivative of -u*n**6 + 0*n**3 + 0 - 1/120*n**5 + 0*n + 1/24*n**4 - 7*n**2. Solve a(w) = 0 for w.
-2, 0, 1
Let 82 + 593*q**2 + 598*q**2 - 1763*q**2 + 596*q**2 - 705*q + 179 = 0. What is q?
3/8, 29
Let c be 256 - (3 + -4 + -6 - -13). Suppose -98*a + 142 = -c. Factor 32/3*m**3 + 16*m**a - 100/9*m + 0 - 140/9*m**2.
4*m*(m - 1)*(6*m + 5)**2/9
Let k = -233827/9 + 25981. Let g(q) be the third derivative of -5/27*q**4 + 0 + 0*q - 7/540*q**5 + k*q**3 + 45*q**2. Factor g(w).
-(w + 6)*(7*w - 2)/9
Let h(o) be the third derivative of -2*o**7/105 - 14*o**6/15 - 251*o**5/15 - 460*o**4/3 - 800*o**3 + 2*o**2 - 591*o. Let h(d) = 0. Calculate d.
-15, -5, -4
Let r = -45872 + 45872. Let n(y) be the first derivative of 10*y**2 - 3 + r*y - 5/3*y**3. Factor n(i).
-5*i*(i - 4)
Suppose 2*o - 168*t + 20 = -170*t, 5*t = -3*o - 50. Factor 0 + o*g**2 - 2/9*g**4 - 1/9*g**3 - 1/9*g**5 + 0*g.
-g**3*(g + 1)**2/9
Suppose 4*g - 16 + 0 = -4*x, 4*x = 5*g - 11. Solve 169*o**2 - 32*o**4 + 20*o + 74*o**g + 230*o**3 - 11*o**2 = 0 for o.
-1/4, 0, 10
Suppose 0 = -3*j - 3*l + 21, 49 = -14*j + 19*j - 2*l. Let i be 96/(-128)*2/j*-3. Solve 13/4*m - i*m**2 - m**4 + 3/2 + 3/4*m**5 - 4*m**3 = 0 for m.
-1, -2/3, 1, 3
Let a(m) be the third derivative of -m**7/315 + m**6/90 + 41*m**5/90 - 7*m**4/6 + m**2 + 347. Factor a(j).
-2*j*(j - 7)*(j - 1)*(j + 6)/3
Let q = 13273 - 13270. Let y(m) be the second derivative of -1/9*m**4 + 0 - 2*m - 1/9*m**q + 1/3*m**2. Solve y(u) = 0 for u.
-1, 1/2
Factor 1/4*j + 107/4 - 1/4*j**3 - 107/4*j**2.
-(j - 1)*(j + 1)*(j + 107)/4
Let l = 8241 + -123614/15. Let x(j) be the first derivative of -10 - 1/6*j**2 + 1/54*j**6 + 1/18*j**4 + l*j**5 - 1/9*j - 2/27*j**3. Factor x(n).
(n - 1)*(n + 1)**4/9
Suppose 0 = 3*b - z - 32, -5*b + 37 = z - 3. Suppose -k = 2*k - b. Determine x so that 2*x**3 - 24 - 22*x + 10*x**k - 46*x + 16*x**2 = 0.
-3, -1/3, 2
Let z(t) be the first derivative of 3/2*t**3 - 1/20*t**5 + 15/2*t**2 - 5 + 0*t - 1/4*t**4. Let d(q) be the second derivative of z(q). Factor d(r).
-3*(r - 1)*(r + 3)
Let u(v) be the second derivative of -37/60*v**5 + 0*v**2 - 7 - 4*v - 7/90*v**6 + 8/9*v**4 + 2/3*v**3. Let u(f) = 0. Calculate f.
-6, -2/7, 0, 1
Let z be (-32)/16 + (-3399)/(-2700). Let s = 2/225 - z. Find o, given that 0*o - s*o**2 + 3/4*o**3 + 0 = 0.
0, 1
Let m(q) = q - 3. Let r be m(7). Suppose r*b + 1100 - 4852 = 0. Solve b*n**4 - 60*n**3 - 10*n + 45*n**2 - 913*n**4 + 0*n = 0 for n.
0, 2/5, 1
Let n be 6 - ((-11224)/(-2800) + 2). Let c = n - -264/175. Suppose -1/2*w**3 - w**2 + 0 + c*w = 0. Calculate w.
-3, 0, 1
Let w(a) = a**2 + 24*a + 65. Let d be w(-21). Let o be ((-42)/(-630))/((-9)/(-120)*d). Find l, given that -o - 2/9*l**2 - 2/3*l = 0.
-2, -1
Suppose -15*r + 16*r = 2*a - 6, -9*a + 36 = 0. Let i(l) be the third derivative of 1/720*l**6 + 0*l + 42*l**r - 7/144*l**4 + 0 + 0*l**5 + 1/6*l**3. Factor i(n).
(n - 2)*(n - 1)*(n + 3)/6
Factor -4*r**3 - 6242 - 1100*r**2 - 44178*r - 68834 + 13626*r - 34650*r - 10970*r.
-4*(r + 1)*(r + 137)**2
Let j(x) = -x**3 + 15*x**2 + 19*x - 46. Let g be j(16). Factor 50 - 963*h**3 - 50*h**g + 1937*h**3 - 969*h**3 - 5*h.
5*(h - 10)*(h - 1)*(h + 1)
Let y(x) be the first derivative of x**4/16 + x**3/2 - x**2/2 - 6*x - 224. Factor y(q).
(q - 2)*(q + 2)*(q + 6)/4
Let 82/3*m**3 + 44/3*m**4 + 2*m**5 - 112/3*m - 20/3*m**2 + 0 = 0. What is m?
-4, -7/3, -2, 0, 1
Let w be 62 + -65 + 1*7. Let u(d) = d**4 + d**3 + d**2 - 1. Let v(o) = -o**4 - 161*o**3 - 1811*o**2 - 6655*o - 4. Let h(g) = w*u(g) - v(g). Factor h(a).
5*a*(a + 11)**3
Let i be (17 + (-1368)/90)*(-5)/(-3). Let m(l) be the first derivative of -245/4*l**4 - 5 - 40*l**2 + 280/3*l**i + 0*l. Factor m(h).
-5*h*(7*h - 4)**2
Let r(b) be the second derivative of b + 1/6*b**4 - 1 - 6*b**2 - 1/3*b**3. Suppose r(z) = 0. What is z?
-2, 3
Let r = -101797/9135 - -78/7. Let u = r - -436/1305. Factor 0 + 0*f + f**3 + 0*f**2 - 4/3*f**4 + u*f**5.
f**3*(f - 3)*(f - 1)/3
Let g(r) be the third derivative of 4/5*r**5 - 4/15*r**6 + 0 + 5/4*r**4 + 0*r + 19*r**2 + 2/3*r**3. Suppose g(l) = 0. Calculate l.
-1/4, 2
Factor 212/5*v - 2/5*v**2 + 214/5.
-2*(v - 107)*(v + 1)/5
Determine x so that -7*x**3 - 4*x**3 + 9*x**3 + 684*x - 289*x + 510 - 3*x**3 + 60*x**2 = 0.
-3, -2, 17
Let g(o) be th