7*c(h) - 5*l(h). Factor v(x).
(x - 14)*(x - 9)*(x - 1)
Let f(k) = -8*k**5 - 238*k**4 - 90*k**3 + 2. Let d(l) = -l**5 - 3*l**4 - 3*l**3 - 1. Let o(u) = 2*d(u) + f(u). Determine r, given that o(r) = 0.
-24, -2/5, 0
Let s(k) be the third derivative of -k**7/525 + k**6/300 + 7*k**5/75 - 2*k**4/5 - 367*k**2 - 4. Factor s(g).
-2*g*(g - 3)*(g - 2)*(g + 4)/5
Let x(i) be the third derivative of -i**7/210 - 7*i**6/120 - i**5/20 + 21*i**4/8 + 18*i**3 + 1890*i**2. Factor x(l).
-(l - 3)*(l + 3)**2*(l + 4)
Let 8*v**4 - 264 - 3*v**5 - 10592*v**2 - 123*v**3 + 10802*v**2 + 252*v - 80*v**4 = 0. What is v?
-22, -2, 1
Let w(m) be the first derivative of -16*m**3/7 - 435*m**2/14 - 387*m/7 + 3571. Let w(z) = 0. What is z?
-129/16, -1
Let c(t) be the third derivative of t**8/1008 - t**7/630 - t**6/360 + t**5/180 - 240*t**2. Factor c(m).
m**2*(m - 1)**2*(m + 1)/3
Let l be (-12)/9 + (-6)/(-27) + (-224)/(-126). Find w, given that -14/3*w + l*w**2 + 20/3 = 0.
2, 5
Suppose -12*o + 15*o + 12 = -w, 3*o = 2*w - 21. Let g(h) be the first derivative of 22*h**2 + 12*h - w*h**4 + 5 + 20/3*h**3. Find q, given that g(q) = 0.
-1, -1/3, 3
Let r(w) be the third derivative of w**6/60 - 151*w**5/270 - 773*w**4/54 - 112*w**3/9 - 5446*w**2. Factor r(j).
2*(j - 24)*(j + 7)*(9*j + 2)/9
Let i(q) be the third derivative of 3*q**2 + 0 + 0*q + 5/2*q**4 - 23/20*q**5 - 2*q**3 + 7/40*q**6. Determine p so that i(p) = 0.
2/7, 1, 2
Let p(v) be the third derivative of 81/8*v**3 + 189/16*v**4 - 2*v + 0 + 15/16*v**6 + 27/4*v**5 - 5*v**2 - 25/56*v**7. Suppose p(m) = 0. Calculate m.
-3/5, 3
Let l be -4 + 28 + (-21600)/912. Let m be (6/(-9))/(2/(-6)). Factor 10/19*c**m + 2/19*c**3 + 14/19*c + l.
2*(c + 1)**2*(c + 3)/19
Suppose 2*a - 12*a + 30 = 0. Suppose -a*g + 2*t - 17 = -8*g, 4*t = 4. Solve 1/8*l**g + l - 2 + 7/8*l**2 = 0.
-4, 1
Let 10 + 7/3*g - 1/3*g**2 = 0. Calculate g.
-3, 10
Let v(f) = -f**2 + 5*f + 2. Let n be v(5). Let l be (59 - (-271338)/(-4592)) + (-2)/(-40)*45/6. Factor 10/7*q - 8/7 - l*q**n.
-2*(q - 4)*(q - 1)/7
Let l(s) be the third derivative of 0*s**3 + 1/180*s**6 + 2*s**2 + 0 + 1/4*s**4 - 1/15*s**5 - 91*s. Solve l(i) = 0.
0, 3
Factor 0 - 14/13*b**3 + 150/13*b - 2/13*b**4 + 10/13*b**2.
-2*b*(b - 3)*(b + 5)**2/13
Let o be -15*(7/(-12) + (-3)/(-12)). Suppose -8*u - o*u = -39. Determine c, given that 15 - 34*c - 27*c**2 + 109*c + u = 0.
-2/9, 3
Let v(w) be the second derivative of w**5/120 - 599*w**4/6 + 1435204*w**3/3 - 3438748784*w**2/3 + 8031*w. Factor v(d).
(d - 2396)**3/6
Let a(x) = 4*x + 4. Let q be a(-2). Let y be q/(-8)*-3 + 18/4. Factor t**y - 3*t**2 - 3 + 5*t - 3*t + 2 + t.
(t - 1)**3
Suppose 4*z + 5*u - 53 = 0, -17 = 5*z + 2*u - 45. Factor 4/3*a - 2/9 + 8/9*a**3 - 2*a**z.
2*(a - 1)**2*(4*a - 1)/9
Let d(b) be the first derivative of 5*b**4/4 - 5*b**3/3 - 6*b - 155. Let j(h) = 1. Let s(g) = d(g) + 6*j(g). Suppose s(q) = 0. Calculate q.
0, 1
Let u(q) be the first derivative of 5*q**3/6 + 185*q**2/4 + 840*q - 7985. Let u(h) = 0. Calculate h.
-21, -16
Let g(h) = -h**4 - 7*h**3 - 2*h**2 + 2. Let r(o) = 12*o**4 - 304*o**3 + 76*o**2 + 276*o + 4. Let q(u) = -20*g(u) + r(u). Find m such that q(m) = 0.
-1, 1/8, 3
Let c(f) = f**3 + 4*f**2 - f + 5. Let w be c(-3). Suppose 7*a + w*a - 48 = 0. Solve -19/2*m**2 - 13/2*m**3 - 7/2*m**5 + 10*m + 23/2*m**4 - a = 0 for m.
-1, 2/7, 1, 2
Let k(o) be the third derivative of o**5/105 + 15*o**4/7 - 752*o**3/21 - 24*o**2 - 9*o + 1. Factor k(p).
4*(p - 4)*(p + 94)/7
Let p(t) be the first derivative of -5*t**6/6 - 3*t**5 + 25*t**4/4 + 5*t**3 - 10*t**2 - 93. Suppose p(x) = 0. What is x?
-4, -1, 0, 1
Determine o so that 3/5*o**2 + 459/5 + 162/5*o = 0.
-51, -3
Suppose -76 = -20*i + 29*i - 47*i. Factor -1/7*n**4 - 4/7*n**3 - 4/7*n - 1/7 - 6/7*n**i.
-(n + 1)**4/7
Let x = -995/4 - -249. Let h(o) = o**3 - 43*o**2 - 51*o + 308. Let s be h(44). Determine m so that -x*m**4 + s + m**2 + 1/4*m**3 - m = 0.
-2, 0, 1, 2
Let w be 63/28*(52/3)/13. Let j(l) be the second derivative of 0*l**2 + l**w - 3/20*l**5 + 0 + 1/4*l**4 - 4*l. Find d such that j(d) = 0.
-1, 0, 2
Let t(l) be the third derivative of -1/24*l**6 + 0 - 7/24*l**4 + 9*l**2 - 13/60*l**5 + 0*l**3 + 1/210*l**7 + 0*l. Solve t(h) = 0.
-1, 0, 7
Let w(i) be the third derivative of i**8/15120 - i**7/756 + i**6/135 - i**5/20 + 19*i**3/3 + 101*i**2. Let j(q) be the third derivative of w(q). Factor j(d).
4*(d - 4)*(d - 1)/3
Suppose -34 = -3*i + y, -22 = -33*i + 30*i - 2*y. Suppose -i*o = -5*o. Determine b, given that 4/7*b**5 - 16/7*b**4 + 0 + o*b + 0*b**2 + 16/7*b**3 = 0.
0, 2
Let a(v) be the second derivative of -v**6/75 - 4*v**5/25 - 11*v**4/30 + 4*v**3/3 - 4*v - 258. Find o, given that a(o) = 0.
-5, -4, 0, 1
Suppose -900*j = 228*j + 19*j - 2294. Find a such that 625/8 + 1/8*a**3 + 575/8*a - 49/8*a**j = 0.
-1, 25
Let l(h) be the first derivative of -h**4/6 + 248*h**3/3 - 247*h**2 + 740*h/3 + 1970. Let l(d) = 0. Calculate d.
1, 370
Let i(t) be the second derivative of -1/54*t**4 - 16/9*t**2 + 17/27*t**3 - 2 + 4*t. Solve i(n) = 0.
1, 16
Let m(r) = -45*r**2 - 34*r - 9. Let v(p) = 45*p**2 + 35*p + 10. Let b = 55 + -41. Let j = b - 18. Let x(u) = j*v(u) - 5*m(u). Factor x(f).
5*(3*f + 1)**2
Let f be ((-476)/420 - 4/(-30)) + 56. Factor -60*g**3 + f*g + 5*g**5 - 131 + 78 - 10*g**2 - 20*g**4 + 83.
5*(g - 6)*(g - 1)*(g + 1)**3
Let r = -213606 - -213608. Factor -2/9*g - 58/9*g**r + 0.
-2*g*(29*g + 1)/9
Suppose 40 - 68 = -2*x. Suppose 4*s + 2 = 5*c + 9, c = 5*s - x. Let -75*k**s + 35*k**3 + 49*k**3 + 15*k**4 = 0. What is k?
-3/5, 0
Suppose -5*g + 109 = -2*q, -6*q = -5*g - 33 + 230. What is a in 0 + g*a - 1/3*a**2 = 0?
0, 39
Let v be (4/(-7))/(3*18/(-189)). Factor -25*w**4 - 8*w**3 + 17*w**4 + 12 - 4*w**3 - 9*w**v + 12*w + 5*w**4.
-3*(w - 1)*(w + 1)*(w + 2)**2
Let o be 4*-1*(-16 + 18). Let u be 33/(-132) - 514/o. Solve -3*g**2 + 24*g - u + 1/8*g**3 = 0.
8
Let q(z) be the third derivative of 9*z**3 + 19 + 1/10*z**5 - 21/16*z**4 + 0*z - 1/320*z**6 - 2*z**2. Factor q(o).
-3*(o - 6)**2*(o - 4)/8
Find j such that -234 + 1/3*j**2 - 37*j = 0.
-6, 117
Find o, given that -90801/4*o - 123/4*o**4 - 16173/2*o**2 - 1/4*o**5 - 2151/2*o**3 - 87723/4 = 0.
-57, -3
Factor 35*m + 3*m**2 + 42*m - 115 - 455 - 127*m + 23*m.
3*(m - 19)*(m + 10)
Factor -23/2*m**3 - 52 - 116*m - 303/4*m**2 + 1/4*m**4.
(m - 52)*(m + 1)**2*(m + 4)/4
Let w(b) be the first derivative of -b**4 - 8*b**2 - 9/10*b**5 + 20/3*b**3 + 2 - 21*b. Let r(n) be the first derivative of w(n). Find m, given that r(m) = 0.
-2, 2/3
Let v = 12668 - 1254169/99. Let h = 9/11 + v. Factor 8/9*y**3 - 4/9 - h*y**2 - 10/9*y + 2/9*y**5 + 8/9*y**4.
2*(y - 1)*(y + 1)**3*(y + 2)/9
Suppose -18*c**2 + 701 + 2*c**2 - 1220 + 669 - 50*c = 0. Calculate c.
-5, 15/8
Suppose 0 = -l + 2*j + 8, 2*j + j = 5*l - 26. Let f(c) be the second derivative of 1/48*c**l + 1/12*c**3 + 0*c**2 + 0 + 7*c. Suppose f(v) = 0. Calculate v.
-2, 0
Suppose 3*f + 3*i - 14 = i, 8 = 2*f + i. Suppose 24*b - 41 - 3*b**f - 21 + 14 = 0. What is b?
4
Let w = 6219 - 6214. Let b(d) be the second derivative of 0*d**w + 0*d**3 + 1/240*d**6 + 6*d - 1/96*d**4 + 0*d**2 + 0. Factor b(j).
j**2*(j - 1)*(j + 1)/8
Let p(y) be the second derivative of -y**7/21 - 2*y**6/3 - 5*y**5/2 + 12*y**3 + 1418*y. Let p(f) = 0. What is f?
-6, -3, -2, 0, 1
Suppose 18*z = -55 - 107. Let o be 0 + (-40)/(-16)*(-2)/z. What is f in 1/9*f**5 + 2/9*f**2 + 0 + 0*f + 4/9*f**4 + o*f**3 = 0?
-2, -1, 0
Let n be 18*14*(6 - 4). Let m be ((n/16)/21)/(42/8). Factor 4/7 - 6/7*r**2 - m*r.
-2*(r + 1)*(3*r - 2)/7
Let j(g) be the first derivative of g**6/120 - g**5/4 + 25*g**4/8 + 25*g**3 + 62. Let s(l) be the third derivative of j(l). Factor s(b).
3*(b - 5)**2
Let m = -4751/5 + 891. Let z = -59 - m. Solve z*t + 6/5 - 1/5*t**2 = 0 for t.
-2, 3
Suppose -80 = -4*g - a, -3*g - 5*a + 47 = -a. Suppose 25*x**3 + 50*x - 2*x**3 - g*x**3 + 20*x**2 = 0. Calculate x.
-5, 0
Let i(u) be the third derivative of u**7/70 - 3*u**6/4 + 61*u**5/5 - 21*u**4 - 784*u**3 - u**2 - 889. Factor i(j).
3*(j - 14)**2*(j - 4)*(j + 2)
Suppose -2*j + 136 = -2*q - q, 2*j = 5*q + 132. Factor -62*u - j*u + 37*u - 3*u**2 - 768.
-3*(u + 16)**2
Let j(h) be the second derivative of 11*h + 2*h**2 - 7/12*h**4 + 1/4*h**5 - 4/3*h**3 + 3. Factor j(p).
(p - 2)*(p + 1)*(5*p - 2)
Let q(s) = 8*s**2 - 50*s**3 + 0*s**4 + 8*s**3 + 7*s +