 -d**6/2160 - 7*d**5/720 - d**4/24 - 119*d**3/3 + 22. Let x(j) be the third derivative of k(j). Factor x(n).
-(n + 1)*(n + 6)/6
Let l(k) be the first derivative of 3*k**5/5 + 5*k**4/3 - 23*k**3/9 - k**2 + 6954. Solve l(d) = 0 for d.
-3, -2/9, 0, 1
Let z(c) = -111*c + 108. Let v be z(-7). Factor -291*m - 248*m - 290*m + 392 + 2*m**2 + v*m.
2*(m + 14)**2
Suppose 2*b + 11 = 3*t + 32, 0 = 5*b + 3*t. Let q(o) be the first derivative of -3*o**b - 6 + 0*o + 3/2*o**2 + 9/4*o**4 - 3/5*o**5. Factor q(i).
-3*i*(i - 1)**3
Let p(s) be the third derivative of -s**5/30 - 7*s**4/6 - 40*s**3/3 + 4*s**2 + 9*s + 19. Solve p(b) = 0.
-10, -4
Let j(r) = 3*r**2 - r + 1. Let b(f) = 32*f**2 - 98*f + 96. Let w(p) = b(p) - 10*j(p). Factor w(k).
2*(k - 43)*(k - 1)
Let b be (8736/(-13104))/(0 + (1 + 3/(-2))/1). Let b*t**2 + 32/3*t + 64/3 = 0. What is t?
-4
Find p, given that -2/3*p**2 - 460*p - 2752/3 = 0.
-688, -2
Let h be (-32)/20 + (-90)/(-25). Let q(l) be the second derivative of -4/5*l**h + 5*l - 1/5*l**3 + 0 + 1/30*l**4. Factor q(j).
2*(j - 4)*(j + 1)/5
Let k(c) be the first derivative of 3*c**5/5 + 79*c**4/4 - 97*c**3/3 - 419*c**2/2 - 246*c + 9392. Suppose k(n) = 0. Calculate n.
-82/3, -1, 3
Suppose 758/5*z - 76/5*z**2 + 4 = 0. What is z?
-1/38, 10
Let h = 962313 - 2886938/3. Factor -3*g + 1/3*g**3 - 3 + h*g**2.
(g - 3)*(g + 1)*(g + 3)/3
Let d(p) be the first derivative of p**4/18 - 16*p**3/9 - 3*p**2 + 100*p/9 - 2465. Factor d(n).
2*(n - 25)*(n - 1)*(n + 2)/9
Find l such that -30*l - l**3 - 43*l**2 - 51*l + 11 + 18 + 11 + 85*l**2 = 0.
1, 40
Determine v, given that v + 0 + 8/3*v**2 + 4/3*v**3 = 0.
-3/2, -1/2, 0
Let k(c) = 15*c**2 - 49*c + 55. Let d be (-15)/(-20)*(-472)/(-6). Let r(p) = -27 - 13*p + d*p - 7*p**2 - 21*p. Let z(y) = -3*k(y) - 7*r(y). Factor z(h).
4*(h - 6)*(h - 1)
Let y(o) be the third derivative of 0*o + 0 + 1/12*o**5 - 1/42*o**7 + 1/24*o**6 - 70*o**2 - 5/24*o**4 + 0*o**3. Factor y(s).
-5*s*(s - 1)**2*(s + 1)
Suppose 2046*l - 2014 = 2078. Determine y so that -32/19*y - 104/19*y**l + 0 - 18/19*y**4 - 96/19*y**3 = 0.
-4, -2/3, 0
Let u(j) = j**3 - 11*j**2 - 10*j - 57. Let h be u(12). Let z be 22/h + 112/132. What is a in z*a**3 - 4/11*a + 0 + 2/11*a**2 = 0?
-2, 0, 1
Let v(u) be the first derivative of u**3/6 + 197*u**2 + 77618*u - 881. Factor v(c).
(c + 394)**2/2
Factor -164/3 - 2/9*m**2 + 170/9*m.
-2*(m - 82)*(m - 3)/9
Let u(v) = 9*v**3 - 416*v**2 - 1738*v - 1724. Let m(q) = -11*q**3 + 414*q**2 + 1737*q + 1706. Let b(i) = -2*m(i) - 3*u(i). Determine x, given that b(x) = 0.
-2, 88
Let k(i) be the first derivative of 4/11*i**5 + 25/11*i**2 + 80/33*i**3 + 15/11*i**4 + 12/11*i + 108 + 1/33*i**6. Factor k(o).
2*(o + 1)**4*(o + 6)/11
Let t(r) be the first derivative of 9 + 10/3*r**3 + 1/20*r**6 + 0*r + 13/40*r**5 + 0*r**2 + 1/4*r**4. Let b(g) be the third derivative of t(g). Factor b(v).
3*(v + 2)*(6*v + 1)
Let p(n) = n - 25. Let v be p(7). Let l = 21 + v. Factor 6 + 8*w**2 - 15*w + 7*w**2 - l*w**3 - 3*w**2.
-3*(w - 2)*(w - 1)**2
Let d be ((-261)/(-153) - -16) + -15. Solve d - 2/17*c**2 + 44/17*c = 0 for c.
-1, 23
Let j(b) be the third derivative of -1/8*b**4 + 1/336*b**8 - 2*b**2 + 17*b + 0 + 1/70*b**7 + 1/60*b**6 - 1/30*b**5 - 1/6*b**3. Factor j(l).
(l - 1)*(l + 1)**4
Let r(j) be the first derivative of j**3/9 + 349*j**2/3 + 121801*j/3 + 771. Factor r(p).
(p + 349)**2/3
Solve 2 - 296/3*y - 302/3*y**2 = 0.
-1, 3/151
Let s(k) = -20*k**3 - 1040*k**2 - 2*k - 101. Let m be s(-52). Factor -2/7*i**m + 0 - 2/7*i**2 + 4/7*i.
-2*i*(i - 1)*(i + 2)/7
Suppose 0 = 24*l - 29*l. Let n be -2*(-2)/(-4)*(-49)/35. Factor l + n*o - 1/5*o**2.
-o*(o - 7)/5
What is q in -88/7*q - 4/7*q**3 + 52/7*q**2 + 0 = 0?
0, 2, 11
Let b = 408 + -400. Let b*z**5 - 2*z**5 + 6*z**3 + 108*z**2 - 42 + 3*z**5 - 66*z**4 + 5652*z - 5667*z = 0. Calculate z.
-1, -2/3, 1, 7
Suppose 4*w - 3*f = 15, -3*f = -w + 1 + 14. Suppose -202608 + 202118 = -98*d. Factor 2/5*y**4 + 0*y - 2/5*y**d - 2/5*y**2 + 2/5*y**3 + w.
-2*y**2*(y - 1)**2*(y + 1)/5
Let x(f) be the first derivative of -3/8*f**4 + 3/4*f**3 + 0*f**2 + 0*f + 1/20*f**5 + 131. Factor x(w).
w**2*(w - 3)**2/4
Factor 283023/7*v + 1063/7*v**2 + 281961/7 + 1/7*v**3.
(v + 1)*(v + 531)**2/7
Suppose -3*k - 5*j + 39 = 0, -2*k = -5*j + 10*j - 36. Let q(p) be the first derivative of 500*p + 5/3*p**k + 50*p**2 - 10. Let q(v) = 0. What is v?
-10
Let q(k) be the first derivative of 13/4*k**4 + 0*k - 2/3*k**3 + 113 + 1/4*k**6 - 2*k**5 - 5/4*k**2. Determine l so that q(l) = 0.
-1/3, 0, 1, 5
Let u(w) be the third derivative of -w**8/120 - w**7/14 - 29*w**6/180 - w**5/10 - 5*w**3/2 + 9*w**2 - 3. Let n(d) be the first derivative of u(d). Factor n(z).
-2*z*(z + 1)*(z + 3)*(7*z + 2)
Let l(o) be the third derivative of o**5/15 - 103*o**4/3 - 2110*o**3/3 + 442*o**2 - 2*o + 2. Let l(b) = 0. What is b?
-5, 211
Determine m, given that -2/3*m**4 - 32/3*m**3 - 224/3*m - 52*m**2 - 98/3 = 0.
-7, -1
Let x = -31232 - -2436029/78. Let j = -9/13 - x. Factor 1/6*w**3 + 1/6 - j*w - 1/6*w**2.
(w - 1)**2*(w + 1)/6
Suppose n - 12*p = -11*p + 12, -108 = -4*n + 9*p. Factor 0 - 7/5*t**2 + 13/10*t**3 + n*t + 1/10*t**4.
t**2*(t - 1)*(t + 14)/10
Let w(g) = 34*g - 65. Let n be w(2). Suppose -n*x = -4*d - 1, 3*x - 4*d = -x + 4. Find f such that 0 + 2/9*f**4 + 2/3*f**2 + 8/9*f**x + 0*f = 0.
-3, -1, 0
Suppose l - 108 - 89 = 3*y, -2*l + 405 = 5*y. Let n be (-128)/l*(-5)/1. Factor 4*r - 4/5*r**2 - n.
-4*(r - 4)*(r - 1)/5
Determine x so that -5*x**4 - 5*x**3 + 19838 + 4276*x + 4207*x + 990*x**2 - 383*x - 1478 = 0.
-6, 17
Solve -268/7*o + 8/7 - 136/7*o**2 = 0.
-2, 1/34
Let s = 12743 + -12743. Let h(y) be the first derivative of -4*y + 6 + y**3 + s*y**2 + 1/4*y**4. Factor h(c).
(c - 1)*(c + 2)**2
Let u(g) = -g**3 - g**2 - g + 1. Let o(t) = -12*t**3 - 9*t**2 - 4*t + 15. Let d = -125 - -103. Let n(w) = d*u(w) + 2*o(w). What is b in n(b) = 0?
-1, 4
Let c(t) = -2*t - 30. Let h be (-15 - -1) + (10/(-2) - -2). Let i be c(h). Solve -18*p**2 - 24*p**4 + 21*p**i - 1 - 8*p**3 - 2 - 12*p - 4*p**3 = 0.
-1
Let x(f) be the second derivative of f**7/1260 + 59*f**6/180 + 3481*f**5/60 - 95*f**4/12 + 221*f. Let z(o) be the third derivative of x(o). Factor z(u).
2*(u + 59)**2
Let x(d) be the first derivative of 4*d**3/3 - 100*d**2 - 636*d - 2666. Suppose x(l) = 0. What is l?
-3, 53
Factor 28/9*i + 2/9*i**2 + 26/9.
2*(i + 1)*(i + 13)/9
Let d be 4/((-1)/(-1 - 0)). Let j be 15/(-135) + (-138)/(-27). Determine n so that -2*n**d - n**j + 9*n - 14*n + 5*n - n**3 = 0.
-1, 0
Suppose -4*i - 2 + 1 = 3*l, 5*l - 45 = 5*i. Solve 5*r**3 + 7*r**5 + l*r**3 - 32*r**5 + 66*r**4 - 81*r**4 = 0 for r.
-1, 0, 2/5
Let y(x) be the first derivative of x**4 - 1052*x**3/3 + 34320*x**2 + 69696*x + 5170. Factor y(h).
4*(h - 132)**2*(h + 1)
Suppose -20*u - 17945 = 17*u. Let x = u - -487. Factor 1/2*l**3 - 1/4*l + 0 - 1/4*l**x.
l*(l - 1)*(2*l + 1)/4
Let m(v) = -62*v**3 - 420*v**2 - 19956*v + 86522. Let f(p) = -72*p**3 - 422*p**2 - 19954*p + 86521. Let z(k) = 6*f(k) - 7*m(k). What is w in z(w) = 0?
-104, 4
Let m(c) be the second derivative of 0 + 1/6*c**4 + 96*c + 9*c**2 + 2*c**3. Factor m(f).
2*(f + 3)**2
Let c be (-456)/(-171) + 610/(-255). Let x(d) be the first derivative of 4/17*d - c*d**3 - 23 - 5/17*d**2. Find s such that x(s) = 0.
-1, 2/7
Suppose 0 = 145*k - 158*k + 195. Let w(z) be the third derivative of 5/228*z**4 + 0*z**3 + k*z**2 + 0 - 1/570*z**5 + 0*z. Let w(d) = 0. Calculate d.
0, 5
Let w(g) = -19*g**2 - 9*g - 6623 + 42*g**2 - 273*g - 10*g**2. Let n(j) = -9*j**2 + 282*j + 6624. Let x(m) = 4*n(m) + 3*w(m). Factor x(p).
3*(p + 47)**2
Let p be (26740/(-112))/(6/(-16)). Let f = p + -634. Factor 0 - 4/3*j**2 + f*j.
-4*j*(j - 2)/3
Let n(u) be the first derivative of 15/2*u + 100 - 11/8*u**2 - 1/3*u**3 + 1/16*u**4. Suppose n(o) = 0. What is o?
-3, 2, 5
Let x = 354 - -65. Suppose -u = x - 422. Factor 3/10*k + 0 - 1/5*k**2 - 1/10*k**u.
-k*(k - 1)*(k + 3)/10
Let g(x) be the third derivative of -x**5/300 - 5*x**4/24 + 44*x**3/5 - 1377*x**2. Determine c, given that g(c) = 0.
-33, 8
Let a(h) be the third derivative of -1 - 13/120*h**4 + 0*h + 7/15*h**3 + 40*h**2 - 1/300*h**5. Let a(j) = 0. Calculate j.
-14, 1
Let u = 290/133 - 36/19. Find g such that -u*g**2 - 4/7 + 6/7*g = 0.
1, 2
Suppose 100*j**2 - 11*j**4 + 100*j**2 - 214*j - 4678 - 14*j**3 + 475