*2 - 290*o. Factor q(d).
4*d**2*(d - 2)*(d + 1)**2/5
Find r such that -4*r**3 - 52*r + 264 - 105*r - 40*r**2 + 321*r - 96*r = 0.
-11, -2, 3
Find n, given that -2*n**4 + 6/5 + 4/5*n**2 - 2/5*n**5 + 14/5*n - 12/5*n**3 = 0.
-3, -1, 1
Let a(x) be the third derivative of -x**11/415800 + x**5/5 - 12*x**2. Let n(f) be the third derivative of a(f). Suppose n(y) = 0. Calculate y.
0
Let 48*c**3 + 1155 + c**4 + 2600*c + 1261 + 1709 + 570*c**2 = 0. What is c?
-33, -5
Let a(o) be the first derivative of -o**7/1960 + o**6/280 - 2*o**3/3 - 12. Let w(k) be the third derivative of a(k). Factor w(j).
-3*j**2*(j - 3)/7
Let x(z) = -2*z**2 + 6*z - 3. Let s(w) = -w**2 + w - 1. Let c(m) = -6*s(m) + 2*x(m). Determine g so that c(g) = 0.
-3, 0
Suppose 0 = n + 3*n - 20. Factor 5*j - 3*j + 4*j**3 + j**4 + 0*j + n*j**2.
j*(j + 1)**2*(j + 2)
Let o(f) = 3*f**3 - 3*f**2 + 12*f - 30. Let d(h) = -h**3 + 2*h**2 + h + 1. Let l(i) = -6*d(i) - o(i). Find r, given that l(r) = 0.
-2, 1, 4
Solve 40*l**2 + 45*l**2 + 7*l**3 - 87*l**2 - 4*l**5 + 5*l**4 = 0.
-1, 0, 1/4, 2
Let c = -270 + 586. Let c - 316 + 3*z - 3*z**3 = 0. What is z?
-1, 0, 1
Suppose p - 4*l = 15, -3*p + 3*l + 9 + 9 = 0. Suppose p*j = 5*j. Factor 0 + j*u + 4*u + 0 - 6*u**3 + 2*u**2.
-2*u*(u - 1)*(3*u + 2)
Let q(d) be the third derivative of d**5/300 + 13*d**4/120 - 4*d**2 - 5. Factor q(b).
b*(b + 13)/5
Let l = 1658 - 1653. Let y(w) be the first derivative of 25/2*w**2 + 10 - 35/3*w**3 - l*w + 15/4*w**4. Find f such that y(f) = 0.
1/3, 1
Let y be (6/2)/(-14 - (-1312)/80). What is g in g + y - 1/4*g**2 = 0?
-1, 5
Let w(j) be the third derivative of -j**8/1680 + j**7/420 - j**6/360 + 2*j**3/3 - 13*j**2. Let l(y) be the first derivative of w(y). Factor l(h).
-h**2*(h - 1)**2
Let p(o) be the first derivative of o**6/24 + o**5/6 + 13*o**2 + 2. Let r(y) be the second derivative of p(y). Determine x so that r(x) = 0.
-2, 0
Suppose 45 = d + 2*d. Factor -22*s**2 - 1 + 7 + d*s - 42*s**3 - 23*s**2 + 12*s**2.
-3*(s + 1)*(2*s - 1)*(7*s + 2)
Let h(y) be the second derivative of -5*y**7/42 + y**6/2 - y**5/4 - 5*y**4/4 + 5*y**3/3 + 79*y. Let h(d) = 0. Calculate d.
-1, 0, 1, 2
Let t = 1309/9 - 145. Let x(g) be the first derivative of 10 + t*g - 1/3*g**2 - 4/27*g**3. Let x(r) = 0. What is r?
-2, 1/2
Let w be (-33)/(-77)*14/6. Suppose h + 95 = 3*y + 2*h, 124 = 4*y + 4*h. Factor y*o**2 + w - 6 - 52*o**2 + 6*o + 19*o.
-5*(o - 1)*(4*o - 1)
Let g(n) be the third derivative of -1/420*n**7 - 11/60*n**5 + 0*n - 3/4*n**3 - 1/2*n**4 - 8 - 1/30*n**6 + 4*n**2. Determine v, given that g(v) = 0.
-3, -1
Let x(s) be the first derivative of -s**5/35 + 9*s**4/28 + s**3/7 - 25*s**2/14 - 18*s/7 - 75. Determine i, given that x(i) = 0.
-1, 2, 9
Factor 0 + 2/7*h**3 - 12/7*h - 2/7*h**2.
2*h*(h - 3)*(h + 2)/7
Let g(q) be the third derivative of q**7/2240 - q**6/240 + q**5/80 + q**3/2 - 12*q**2. Let w(v) be the first derivative of g(v). Suppose w(n) = 0. Calculate n.
0, 2
Let -19012/5*u + 1/5*u**4 + 9798/5*u**2 - 196/5*u**3 + 9409/5 = 0. What is u?
1, 97
Let x(m) = -m**2 + 7*m + 10. Let p be x(8). Factor 6*c + 27*c**2 - 30*c**p + 3*c.
-3*c*(c - 3)
Let m(a) be the first derivative of -a**3/3 - 16*a**2 - 256*a + 8. Factor m(t).
-(t + 16)**2
Let u be 10/(-6)*21/7. Let l be -4*(25/5)/u. Factor -7*o**4 + o**3 - 13*o**3 + 16*o**l + 3*o**2.
3*o**2*(o - 1)*(3*o - 1)
Let l(b) be the third derivative of b**6/30 + 4*b**5/15 + b**4/2 - 3*b**2 - 46*b. Suppose l(g) = 0. Calculate g.
-3, -1, 0
Suppose -3*l = 9, 38*t - l + 3 = 41*t. Factor -1/10*u**t - 2/5 - 2/5*u.
-(u + 2)**2/10
Let r(g) be the second derivative of 0 + 0*g**3 - 13*g + 1/50*g**6 + 3/100*g**5 + 0*g**2 + 0*g**4. Factor r(x).
3*x**3*(x + 1)/5
Let h(l) be the first derivative of -l**2 + 1/6*l**3 - 18 + 3/2*l. Suppose h(q) = 0. Calculate q.
1, 3
Let y = 167/14 + -80/7. Factor -1/4*b**3 + y*b + 0 - 1/4*b**2.
-b*(b - 1)*(b + 2)/4
Let b(u) be the first derivative of u**6/33 + 2*u**5/55 - 5*u**4/22 - 10*u**3/33 + 4*u**2/11 + 8*u/11 - 311. Let b(w) = 0. Calculate w.
-2, -1, 1, 2
Find j, given that -77/4*j - 39/2 + 1/4*j**2 = 0.
-1, 78
Suppose 13*i + 8*i = 12*i. Let n(a) be the first derivative of -2/3*a**3 + 3 + i*a - 1/4*a**2. Determine h, given that n(h) = 0.
-1/4, 0
Let d be ((-2)/(-4))/((-1)/(-8)). Suppose -4*g - 2 = -22. Determine y, given that 4*y**5 + y**d + 6*y**3 - 3*y**2 + 8*y**g + 20*y**4 = 0.
-1, 0, 1/4
Suppose -2*v + 0*v = -174. Let t be 2/(-9) - v/(-27). Solve 0*j**2 + 96*j - t*j**2 - 99*j = 0 for j.
-1, 0
Let s(w) be the second derivative of -w**4/20 + 3*w**2/10 - 22*w. Solve s(d) = 0 for d.
-1, 1
Let d = -150 - -92. Let v = d + 175/3. Determine g, given that 2*g**2 + 4*g + v*g**3 + 8/3 = 0.
-2
Solve 25*v**3 - 3*v**2 - 491*v - 341 + 86*v - 50*v**2 + 5*v**4 - 199 + 8*v**2 = 0 for v.
-3, 4
Let p(u) be the first derivative of u**5/35 - 3*u**4/4 - 47*u**3/21 + 3*u**2/2 + 46*u/7 + 11. Let p(c) = 0. What is c?
-2, -1, 1, 23
Let a(x) = x**2 + 3*x - 1. Let g(b) = -5*b**2 - 31*b - 23. Let o(h) = -a(h) - g(h). What is d in o(d) = 0?
-6, -1
Let d(o) be the third derivative of 1/300*o**6 + 0 + 0*o**5 - 20*o**2 + 0*o**3 + 2/525*o**7 + 0*o + 1/840*o**8 + 0*o**4. Factor d(w).
2*w**3*(w + 1)**2/5
Suppose 0 = -4*l + 5*t + 53, 5*t + 95 - 44 = 3*l. Factor 1/3 + 11/6*o - 13/6*o**l.
-(o - 1)*(13*o + 2)/6
Suppose 5 = o - 5*s, s = -o - 10 - 9. Let l = 17 + o. Let -1/3*q**l + 2/3*q - 1/3 = 0. Calculate q.
1
Let k be (-6)/16 - 266/(-112). Find t, given that 37*t + 15*t**3 - 37*t + 6*t**k = 0.
-2/5, 0
Let j be 5/((-20)/72)*-1. Suppose j = 3*r - r. Factor o - 4*o - 3*o**3 - 3*o + r*o**2.
-3*o*(o - 2)*(o - 1)
Let r(v) be the second derivative of 2*v**7/21 + 4*v**6/5 - 9*v**5/5 - 14*v**4/3 + 316*v. Factor r(d).
4*d**2*(d - 2)*(d + 1)*(d + 7)
Let g(r) be the first derivative of -r**7/5040 - r**6/2160 + 8*r**3 + 31. Let o(m) be the third derivative of g(m). Find d, given that o(d) = 0.
-1, 0
Determine z so that 16/5 + 24/5*z - 4/5*z**2 - 14/5*z**3 + 0*z**4 + 2/5*z**5 = 0.
-2, -1, 2
Let s be 9/30 - (836/220 + (-4)/1). Factor -2/3*p + 1/6*p**4 - s + 1/3*p**2 + 2/3*p**3.
(p - 1)*(p + 1)**2*(p + 3)/6
Let c(t) be the first derivative of 9*t**4/4 - 11*t**3/2 - 3*t**2/2 + 205. Determine a so that c(a) = 0.
-1/6, 0, 2
Let b(f) be the third derivative of f**7/525 + 7*f**6/300 + f**5/25 - 93*f**2. Suppose b(l) = 0. Calculate l.
-6, -1, 0
Let r(p) be the second derivative of 0 + 1/20*p**4 - 1/100*p**5 + 1/6*p**3 + 3*p - 1/150*p**6 + 1/5*p**2. Factor r(d).
-(d - 2)*(d + 1)**3/5
Let p(t) be the second derivative of -t**6/15 - t**5/10 + t**4/3 + 3*t**3/2 + 24*t. Let b(g) = -g**4 + g. Let x(l) = 4*b(l) - 4*p(l). Factor x(o).
4*o*(o - 2)*(o + 2)**2
Let s = 114/17 - 468/85. Factor 0*x + 0 + 3/5*x**4 + 3/5*x**2 - s*x**3.
3*x**2*(x - 1)**2/5
Let k be (-7 + 6)*(1 - 13). Let y(g) = g**3 - 3*g**2 - 3*g - 2. Let q be y(4). What is x in -40*x**2 + 4*x + k*x**3 + 4*x + 6*x + 32 + q*x = 0?
-2/3, 2
Let h be (-2)/9 - (-9 + (-4235)/(-504)). Let r(a) be the first derivative of -h*a**4 + 0*a**2 - a**3 - 3 + 0*a. Suppose r(x) = 0. What is x?
-2, 0
Let c(n) = -n**4 - 4*n**3 + 4*n**2 + 6*n - 3. Let r(k) = 4*k**3 - 5*k**2 - 7*k + 5. Let u(a) = 3*c(a) + 2*r(a). What is p in u(p) = 0?
-1, -1/3, 1
Let f(l) be the second derivative of -3*l**5/20 - l**4 + l**3/2 + 6*l**2 - 14*l + 3. Factor f(h).
-3*(h - 1)*(h + 1)*(h + 4)
Let n(g) be the first derivative of 0*g - 1/30*g**6 - 1/15*g**5 + 2/3*g**3 - 7 + 1/6*g**4 - g**2. Let s(t) be the second derivative of n(t). Factor s(i).
-4*(i - 1)*(i + 1)**2
Let d be (2/(-18))/((-1575)/1890). Determine v so that 0 + 0*v**2 - d*v + 2/15*v**3 = 0.
-1, 0, 1
Determine p, given that 14/19 + 10/19*p**2 + 26/19*p - 2/19*p**3 = 0.
-1, 7
Let g(u) = -4*u**4 - 5*u**3 - u**2 - 1. Let w(s) be the second derivative of s**7/42 + s**4/12 - s**2/2 - 5*s. Let m(t) = -g(t) + w(t). Factor m(n).
n**2*(n + 1)**2*(n + 2)
Factor 6/5 - 8/5*f**2 - 4/5*f + 4/5*f**3 + 2/5*f**4.
2*(f - 1)**2*(f + 1)*(f + 3)/5
Let b(t) be the first derivative of -t**5/25 + t**4/20 + t**3/15 - t**2/10 + 236. Find m such that b(m) = 0.
-1, 0, 1
Let h(t) = -19*t**3 + 111*t**2 - 51*t - 80. Let w(f) = -4*f**3 + 22*f**2 - 10*f - 16. Let u(x) = -4*h(x) + 22*w(x). Factor u(g).
-4*(g - 2)**2*(3*g + 2)
Let x(w) be the second derivative of -w**5/5 - 16*w**4/3 + 77*w. Let x(p) = 0. What is p?
-